diff --git a/changelog b/changelog index d198089..9367297 100644 --- a/changelog +++ b/changelog @@ -1,27 +1,30 @@ -20100615 tpd src/axiom-website/patches.html 20100615.03.tpd.patch +20100615 tpd src/axiom-website/patches.html 20100615.04.tpd.patch +20100615 tpd src/input/Makefile rule-based hyper integration +20100615 tpd src/input/richhyper700-799.input rule-based hyper integration +20100615 tpd src/axiom-website/patches.html 20100615.03.tpd.patch 20100615 tpd src/input/Makefile rule-based hyper integration 20100615 tpd src/input/richhyper600-699.input rule-based hyper integration -20100615 tpd src/axiom-website/patches.html 20100615.02.tpd.patch +20100615 tpd src/axiom-website/patches.html 20100615.02.tpd.patch 20100615 tpd src/input/Makefile rule-based hyper integration 20100615 tpd src/input/richhyper500-599.input rule-based hyper integration -20100615 tpd src/axiom-website/patches.html 20100615.01.tpd.patch +20100615 tpd src/axiom-website/patches.html 20100615.01.tpd.patch 20100615 tpd src/input/Makefile rule-based hyper integration 20100615 tpd src/input/richhyper400-499.input rule-based hyper integration -20100614 tpd src/axiom-website/patches.html 20100614.02.tpd.patch +20100614 tpd src/axiom-website/patches.html 20100614.02.tpd.patch 20100614 tpd src/input/Makefile rule-based hyper integration 20100614 tpd src/input/richhyper300-399.input rule-based hyper integration -20100614 tpd src/axiom-website/patches.html 20100614.01.tpd.patch +20100614 tpd src/axiom-website/patches.html 20100614.01.tpd.patch 20100614 tpd src/input/Makefile rule-based hyper integration 20100514 tpd src/input/richhyper200-299.input rule-based hyper integration -20100613 tpd src/axiom-website/patches.html 20100613.03.tpd.patch +20100613 tpd src/axiom-website/patches.html 20100613.03.tpd.patch 20100613 tpd src/input/Makefile rule-based hyper integration 20100613 tpd src/input/richhyper100-199.input rule-based hyper integration -20100613 tpd src/axiom-website/patches.html 20100613.02.tpd.patch +20100613 tpd src/axiom-website/patches.html 20100613.02.tpd.patch 20100613 tpd books/bookvolbib add Jenks [JT18], [JT18a], [JT18b], [JWS87] -20100613 tpd src/axiom-website/patches.html 20100613.01.tpd.patch +20100613 tpd src/axiom-website/patches.html 20100613.01.tpd.patch 20100613 tpd src/input/Makefile rule-based hyper integration 20100613 tpd src/input/richhyper000-099.input rule-based hyper integration -20100612 tpd src/axiom-website/patches.html 20100612.02.tpd.patch +20100612 tpd src/axiom-website/patches.html 20100612.02.tpd.patch 20100612 tpd src/input/Makefile rule-based trig integration 20100612 tpd src/input/richtrig900-920.input rule-based trig integration 20100612 tpd src/axiom-website/patches.html 20100612.01.tpd.patch @@ -209,13 +212,13 @@ 20100521 tpd books/bookvol5 expose PolynomialPackageForCurve 20100521 tpd books/bookvol10.4 add PolynomialPackageForCurve 20100521 tpd books/ps/v104polynomialpackageforcurve.eps added -20100521 tpd src/axiom-website/patches.html 20100521.04.tpd.patch +20100521 tpd src/axiom-website/patches.html 20100521.04.tpd.patch 20100521 tpd books/ps/v104rootsfindingpackage.eps add bounding box info 20100521 tpd books/ps/v104rootsfindingpackage.ps removed -20100521 tpd src/axiom-website/patches.html 20100521.03.tpd.patch +20100521 tpd src/axiom-website/patches.html 20100521.03.tpd.patch 20100521 tpd books/ps/v104linesoppack.eps added new bounding box info 20100521 tpd books/ps/v104linesoppack.ps removed -20100521 tpd src/axiom-website/patches.html 20100521.02.tpd.patch +20100521 tpd src/axiom-website/patches.html 20100521.02.tpd.patch 20100521 tpd factorisationoverpseudoalgebraicclosureofalgextofrationalnumber.eps 20100521 tpd factorisationoverpseudoalgebraicclosureofalgextofrationalnumber.ps 20100521 tpd src/axiom-website/patches.html 20100521.01.tpd.patch @@ -251,7 +254,7 @@ 20100518 tpd src/axiom-website/patches.html 20100518.05.tpd.patch 20100518 tpd src/algebra/Makefile help and test for INFCLPT 20100518 tpd books/bookvol5 expose InfinitlyClosePointCategory -20100518 tpd books/bookvol10.2 add InfinitlyClosePointCategory +20100518 tpd books/bookvol10.2 add InfinitlyClosePointCategory 20100518 tpd books/ps/v102infinitlyclosepointcategory.eps added 20100518 tpd src/axiom-website/patches.html 20100518.04.tpd.patch 20100518 tpd books/bookvol10.2 PLACES use eps form for bounding box @@ -372,7 +375,7 @@ 20100512 tpd books/ps/v103neithersparseordensepowerseries.ps added 20100511 tpd src/axiom-website/patches.html 20100511.07.tpd.patch 20100511 tpd src/algebra/Makefile help and test files for LOCPOWC -20100511 tpd books/bookvol5 expose LocalPowerSeriesCategory +20100511 tpd books/bookvol5 expose LocalPowerSeriesCategory 20100511 tpd books/bookvol10.2 add LocalPowerSeriesCategory 20100511 tpd books/ps/v102localpowerseriescategory.ps added 20100511 tpd src/axiom-website/patches.html 20100511.06.tpd.patch @@ -397,7 +400,7 @@ 20100510 tpd src/axiom-website/patches.html 20100510.02.tpd.patch 20100510 tpd src/algebra/Makefile add FACTEXT 20100510 tpd books/bookvol5 expose FACTEXT -20100510 tpd books/bookvol10.4 add FACTEXT +20100510 tpd books/bookvol10.4 add FACTEXT 20100510 tpd v104factorisationoverpseudoalgebraicclosureofalgextofrationalnumber.ps 20100510 tpd src/axiom-website/patches.html 20100510.01.tpd.patch 20100510 tpd src/algebra/Makefile help and test files for PACEXTC @@ -566,7 +569,7 @@ 20100403 tpd src/axiom-website/patches.html 20100403.02.tpd.patch 20100403 tpd Makefile clean books from src/algebra 20100403 tpd src/axiom-website/patches.html 20100403.01.tpd.patch -20100403 tpd src/algebra/Makefile BLAS1 regression and help +20100403 tpd src/algebra/Makefile BLAS1 regression and help 20100403 tpd books/bookvol10.5 BLAS1 regress, help, and function documentation 20100402 tpd src/axiom-website/patches.html 20100402.01.tpd.patch 20100402 tpd src/interp/Makefile add Volume 10.5 Axiom Numerics @@ -2813,7 +2816,7 @@ 20090417 tpd books/bookvol10.4 add +-> handling 20090417 wxh src/interp/define.boot add +-> handling 20090417 wxh src/interp/newaux.lisp add +-> handling -20090417 wxh src/interp/property.lisp add +-> handling +20090417 wxh src/interp/property.lisp add +-> handling 20090417 wxh src/interp/compiler.boot add +-> handling 20090417 tpd src/axiom-website/patches.html 20090417.01.tpd.patch 20090417 tpd src/algebra/Makefile add help, regression tests @@ -2922,9 +2925,9 @@ 20090404 tpd books/ps/v0plot3.eps TwoDimensionalViewport example image 3 20090404 tpd books/ps/v0plot2.eps TwoDimensionalViewport example image 2 20090404 tpd books/ps/v0plot1.eps TwoDimensionalViewport example image 1 -20090404 tpd src/axiom-website/patches.html 20090404.01.tpd.patch +20090404 tpd src/axiom-website/patches.html 20090404.01.tpd.patch 20090404 tpd books/bookvol0 fix cross references -20090403 tpd src/axiom-website/patches.html 20090403.02.tpd.patch +20090403 tpd src/axiom-website/patches.html 20090403.02.tpd.patch 20090403 tpd src/input/Makefile add unittest3 20090403 tpd src/input/unittest3.input unit test top level loop variables 20090403 tpd src/input/unittest2.input clean up unittests @@ -5396,7 +5399,7 @@ 20081201 kxh books/bookvol7.1 fix syntax 20081201 tpd src/interp/setq.lisp add Karl Hegbloom 20081201 tpd readme add Karl Hegbloom -20081201 kxh Karl Hegbloom +20081201 kxh Karl Hegbloom 20081201 tpd src/algebra/omserver.spad fix unexpected HT command 20081201 tpd src/algebra/fparfrac.spad fix unexpected HT command 20081201 tpd src/axiom-website/patches.html 20081201.03.tpd.patch @@ -5516,7 +5519,7 @@ 20081125 tpd src/algebra/carten.spad move domain to bookvol10.3 20081125 tpd books/ps/v103cardinalnumber.ps added 20081125 tpd src/algebra/card.spad removed, move domain to bookvol10.3 -20081124 tpd src/axiom-website/patches.html 20081124.05.tpd.patch +20081124 tpd src/axiom-website/patches.html 20081124.05.tpd.patch 20081124 tpd books/bookvol1 remove SmallFloat reference 20081124 tpd books/bookvol0 remove SmallFloat reference 20081124 tpd src/axiom-website/patches.html 20081124.04.tpd.patch @@ -5721,7 +5724,7 @@ 20081029 tpd books/ps/v102polynomialsetcategory.ps added 20081029 tpd src/algebra/newpoly.spad move RPOLYCAT to bookvol10.2 20081029 tpd books/ps/v102padicintegercategory.ps added -20081029 tpd src/algebra/padic.spad move PADICCT to bookvol10.2 +20081029 tpd src/algebra/padic.spad move PADICCT to bookvol10.2 20081029 tpd books/ps/v102octonioncategory.ps added 20081029 tpd src/algebra/oct.spad move OC to bookvol10.2 20081028 tpd books/ps/v102univariatetaylorseriescategory.ps added @@ -5731,16 +5734,16 @@ 20081028 tpd books/ps/v102powerseriescategory.ps added 20081028 tpd books/ps/v102multivariatetaylorseriescategory.ps added 20081028 tpd src/algebra/Makefile remove pscat.spad -20081028 tpd books/bookvol10.2 add categories +20081028 tpd books/bookvol10.2 add categories 20081028 tpd src/algebra/pscat.spad removed, move all to bookvol10.2 20081027 tpd src/input/Makefile add SAE example 20081027 tpd src/input/sae.input add SAE example -20081026 tpd books/bookvol10.2 add categories +20081026 tpd books/bookvol10.2 add categories 20081026 tpd books/ps/v102functionspace.ps added 20081026 tpd ps/v102intervalcategory.ps added -20081026 tpd src/algebra/interval.spad add categories to bookvol10.2 +20081026 tpd src/algebra/interval.spad add categories to bookvol10.2 20081026 tpd books/ps/v102liouvillianfunctioncategory.ps added -20081026 tpd src/algebra/indexedp.spad add categories to bookvol10.2 +20081026 tpd src/algebra/indexedp.spad add categories to bookvol10.2 20081026 tpd books/ps/v102freeabelianmonoidcategory.ps added 20081026 tpd src/algebra/free.spad move categories to bookvol10.2 20081023 tpd books/bookvol10.2 add categories @@ -5952,14 +5955,14 @@ 20080917 tpd books/ps/v102setcategory.ps SETCAT graph 20080917 tpd books/ps/v102basictype.ps BASTYPE graph 20080917 tpd books/bookvol10.2 add pdf destinations -20080917 tpd books/bookvol10.2 add BASTYPE, SETCAT, ABELSG +20080917 tpd books/bookvol10.2 add BASTYPE, SETCAT, ABELSG 20080917 wsp src/algebra/mkfunc.spad add parse to InputForm -20080917 tpd books/bookvol10.2 remove duplicate function def in FLAGG +20080917 tpd books/bookvol10.2 remove duplicate function def in FLAGG 20080916 tpd books/ps/v102streamaggregate.ps 20080916 tpd books/ps/v102listaggregate.ps 20080916 tpd books/ps/v102finitelinearaggregate.ps corrected diagram 20080916 tpd books/ps/v102collection.ps corrected diagram -20080916 tpd books/bookvol10.2 more documentation +20080916 tpd books/bookvol10.2 more documentation 20080912 tpd books/Makefile add bookvol10 subvolumes 20080912 tpd books/bookvol10.4 added 20080912 tpd books/bookvol10.3 added @@ -6033,13 +6036,13 @@ 20080904 tpd src/algebra/card.spad graphviz dotfile decoration 20080904 tpd src/algebra/brill.spad graphviz dotfile decoration 20080904 tpd src/algebra/bezout.spad graphviz dotfile decoration -20080904 tpd src/algebra/axserver.spad graphviz dotfile decoration +20080904 tpd src/algebra/axserver.spad graphviz dotfile decoration 20080904 tpd src/algebra/attreg.spad graphviz dotfile decoration 20080904 tpd src/algebra/array2.spad graphviz dotfile decoration 20080904 tpd src/algebra/array1.spad graphviz dotfile decoration 20080904 tpd src/algebra/any.spad graphviz dotfile decoration 20080904 tpd src/algebra/alql.spad graphviz dotfile decoration -20080904 tst src/algebra/aggcat.spad add reduce example +20080904 tst src/algebra/aggcat.spad add reduce example 20080901 tpd src/input/Makefile add start of multivar poly tests 20080901 tpd src/input/bini.input add start of multivar poly tests 20080831 tpd src/algebra/algfact.spad graphviz dotfile decoration diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 75e5541..bd11f9c 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2902,6 +2902,8 @@ src/input/richhyper400-499.input rule-based hyper integration
src/input/richhyper500-599.input rule-based hyper integration
20100615.03.tpd.patch src/input/richhyper600-699.input rule-based hyper integration
+20100615.04.tpd.patch +src/input/richhyper700-799.input rule-based hyper integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index 54c5739..1c41af0 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -382,6 +382,7 @@ REGRES= ackermann.regress \ richhyper400-499.regress \ richhyper500-599.regress \ richhyper600-699.regress \ + richhyper700-799.regress \ richrational.regress \ richtrig000-099.regress \ richtrig100-199.regress \ @@ -718,6 +719,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richhyper400-499.input \ ${OUT}/richhyper500-599.input \ ${OUT}/richhyper600-699.input \ + ${OUT}/richhyper700-799.input \ ${OUT}/richrational.input \ ${OUT}/richtrig000-099.input \ ${OUT}/richtrig100-199.input \ @@ -1083,6 +1085,7 @@ DOCFILES= \ ${DOC}/richhyper400-499.input.dvi \ ${DOC}/richhyper500-599.input.dvi \ ${DOC}/richhyper600-699.input.dvi \ + ${DOC}/richhyper700-799.input.dvi \ ${DOC}/richrational.input.dvi \ ${DOC}/richtrig000-099.input.dvi \ ${DOC}/richtrig100-199.input.dvi \ diff --git a/src/input/richhyper700-799.input.pamphlet b/src/input/richhyper700-799.input.pamphlet new file mode 100644 index 0000000..a0cdd1d --- /dev/null +++ b/src/input/richhyper700-799.input.pamphlet @@ -0,0 +1,46213 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richhyper700-799.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richhyper700-799.output +)spool richhyper700-799.output +)set message auto off +)clear all + +--S 1 of 552 +t0700:= sech(x)^3/(%i+csch(x)) +--R +--R +--R 3 +--R sech(x) +--R (1) ------------ +--R csch(x) + %i +--R Type: Expression Complex Integer +--E 1 + +--S 2 of 552 +r0700:= -1/8*%i*atan(sinh(x))+1/8/(%i-sinh(x))^2-%i/(8*%i+8*sinh(x)) +--R +--R +--R (2) +--R 1 3 1 2 1 1 +--R (- - %i sinh(x) - - sinh(x) - - %i sinh(x) - -)atan(sinh(x)) +--R 8 8 8 8 +--R + +--R 1 2 1 1 +--R - - %i sinh(x) - - sinh(x) + - %i +--R 8 8 4 +--R / +--R 3 2 +--R sinh(x) - %i sinh(x) + sinh(x) - %i +--R Type: Expression Complex Fraction Integer +--E 2 + +--S 3 of 552 +a0700:= integrate(t0700,x) +--R +--R +--R (3) +--R 6 5 +--R sinh(x) + (6cosh(x) - 2%i)sinh(x) +--R + +--R 2 4 +--R (15cosh(x) - 10%i cosh(x) + 1)sinh(x) +--R + +--R 3 2 3 +--R (20cosh(x) - 20%i cosh(x) + 4cosh(x) - 4%i)sinh(x) +--R + +--R 4 3 2 2 +--R (15cosh(x) - 20%i cosh(x) + 6cosh(x) - 12%i cosh(x) - 1)sinh(x) +--R + +--R 5 4 3 2 +--R 6cosh(x) - 10%i cosh(x) + 4cosh(x) - 12%i cosh(x) - 2cosh(x) +--R + +--R - 2%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R cosh(x) - 2%i cosh(x) + cosh(x) - 4%i cosh(x) - cosh(x) +--R + +--R - 2%i cosh(x) - 1 +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 6 5 +--R - sinh(x) + (- 6cosh(x) + 2%i)sinh(x) +--R + +--R 2 4 +--R (- 15cosh(x) + 10%i cosh(x) - 1)sinh(x) +--R + +--R 3 2 3 +--R (- 20cosh(x) + 20%i cosh(x) - 4cosh(x) + 4%i)sinh(x) +--R + +--R 4 3 2 2 +--R (- 15cosh(x) + 20%i cosh(x) - 6cosh(x) + 12%i cosh(x) + 1)sinh(x) +--R + +--R 5 4 3 2 +--R - 6cosh(x) + 10%i cosh(x) - 4cosh(x) + 12%i cosh(x) +--R + +--R 2cosh(x) + 2%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - cosh(x) + 2%i cosh(x) - cosh(x) + 4%i cosh(x) + cosh(x) +--R + +--R 2%i cosh(x) + 1 +--R * +--R log(sinh(x) + cosh(x) - %i) +--R + +--R 5 4 +--R - 2%i sinh(x) + (- 10%i cosh(x) - 4)sinh(x) +--R + +--R 2 3 +--R (- 20%i cosh(x) - 16cosh(x) + 20%i)sinh(x) +--R + +--R 3 2 2 +--R (- 20%i cosh(x) - 24cosh(x) + 60%i cosh(x) + 4)sinh(x) +--R + +--R 4 3 2 +--R (- 10%i cosh(x) - 16cosh(x) + 60%i cosh(x) + 8cosh(x) - 2%i)sinh(x) +--R + +--R 5 4 3 2 +--R - 2%i cosh(x) - 4cosh(x) + 20%i cosh(x) + 4cosh(x) - 2%i cosh(x) +--R / +--R 6 5 +--R 8sinh(x) + (48cosh(x) - 16%i)sinh(x) +--R + +--R 2 4 +--R (120cosh(x) - 80%i cosh(x) + 8)sinh(x) +--R + +--R 3 2 3 +--R (160cosh(x) - 160%i cosh(x) + 32cosh(x) - 32%i)sinh(x) +--R + +--R 4 3 2 2 +--R (120cosh(x) - 160%i cosh(x) + 48cosh(x) - 96%i cosh(x) - 8)sinh(x) +--R + +--R 5 4 3 2 +--R 48cosh(x) - 80%i cosh(x) + 32cosh(x) - 96%i cosh(x) - 16cosh(x) +--R + +--R - 16%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 8cosh(x) - 16%i cosh(x) + 8cosh(x) - 32%i cosh(x) - 8cosh(x) +--R + +--R - 16%i cosh(x) - 8 +--R Type: Union(Expression Complex Integer,...) +--E 3 + +--S 4 of 552 +m0700:= a0700-r0700 +--R +--R +--R (4) +--R 1 9 3 3 8 +--R - sinh(x) + (- cosh(x) - - %i)sinh(x) +--R 8 4 8 +--R + +--R 15 2 7 +--R (-- cosh(x) - 2%i cosh(x))sinh(x) +--R 8 +--R + +--R 5 3 35 2 6 +--R (- cosh(x) - -- %i cosh(x) - %i)sinh(x) +--R 2 8 +--R + +--R 15 4 3 1 2 3 5 +--R (-- cosh(x) - 5%i cosh(x) + - cosh(x) - 4%i cosh(x) - -)sinh(x) +--R 8 8 4 +--R + +--R 3 5 25 4 1 3 53 2 +--R - cosh(x) - -- %i cosh(x) + - cosh(x) - -- %i cosh(x) +--R 4 8 2 8 +--R + +--R 5 3 +--R - - cosh(x) - - %i +--R 2 4 +--R * +--R 4 +--R sinh(x) +--R + +--R 1 6 5 3 4 3 +--R - cosh(x) - %i cosh(x) + - cosh(x) - 6%i cosh(x) +--R 8 4 +--R + +--R 27 2 +--R - -- cosh(x) - 2%i cosh(x) - 1 +--R 8 +--R * +--R 3 +--R sinh(x) +--R + +--R 1 6 1 5 13 4 5 3 +--R - - %i cosh(x) + - cosh(x) - -- %i cosh(x) - - cosh(x) +--R 8 2 4 2 +--R + +--R 17 2 +--R - -- %i cosh(x) - 2cosh(x) +--R 8 +--R * +--R 2 +--R sinh(x) +--R + +--R 1 6 5 9 4 3 13 2 +--R - cosh(x) - %i cosh(x) - - cosh(x) - %i cosh(x) - -- cosh(x) +--R 8 8 8 +--R + +--R 3 +--R - - +--R 8 +--R * +--R sinh(x) +--R + +--R 1 6 1 5 1 4 1 3 +--R - - %i cosh(x) - - cosh(x) - - %i cosh(x) - - cosh(x) +--R 8 4 8 2 +--R + +--R 1 2 1 1 +--R - %i cosh(x) - - cosh(x) + - %i +--R 8 4 8 +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 1 9 3 3 8 +--R - - sinh(x) + (- - cosh(x) + - %i)sinh(x) +--R 8 4 8 +--R + +--R 15 2 7 +--R (- -- cosh(x) + 2%i cosh(x))sinh(x) +--R 8 +--R + +--R 5 3 35 2 6 +--R (- - cosh(x) + -- %i cosh(x) + %i)sinh(x) +--R 2 8 +--R + +--R 15 4 3 1 2 3 5 +--R (- -- cosh(x) + 5%i cosh(x) - - cosh(x) + 4%i cosh(x) + -)sinh(x) +--R 8 8 4 +--R + +--R 3 5 25 4 1 3 53 2 +--R - - cosh(x) + -- %i cosh(x) - - cosh(x) + -- %i cosh(x) +--R 4 8 2 8 +--R + +--R 5 3 +--R - cosh(x) + - %i +--R 2 4 +--R * +--R 4 +--R sinh(x) +--R + +--R 1 6 5 3 4 3 +--R - - cosh(x) + %i cosh(x) - - cosh(x) + 6%i cosh(x) +--R 8 4 +--R + +--R 27 2 +--R -- cosh(x) + 2%i cosh(x) + 1 +--R 8 +--R * +--R 3 +--R sinh(x) +--R + +--R 1 6 1 5 13 4 5 3 +--R - %i cosh(x) - - cosh(x) + -- %i cosh(x) + - cosh(x) +--R 8 2 4 2 +--R + +--R 17 2 +--R -- %i cosh(x) + 2cosh(x) +--R 8 +--R * +--R 2 +--R sinh(x) +--R + +--R 1 6 5 9 4 3 +--R - - cosh(x) + %i cosh(x) + - cosh(x) + %i cosh(x) +--R 8 8 +--R + +--R 13 2 3 +--R -- cosh(x) + - +--R 8 8 +--R * +--R sinh(x) +--R + +--R 1 6 1 5 1 4 1 3 +--R - %i cosh(x) + - cosh(x) + - %i cosh(x) + - cosh(x) +--R 8 4 8 2 +--R + +--R 1 2 1 1 +--R - - %i cosh(x) + - cosh(x) - - %i +--R 8 4 8 +--R * +--R log(sinh(x) + cosh(x) - %i) +--R + +--R 1 9 3 3 8 +--R - %i sinh(x) + (- %i cosh(x) + -)sinh(x) +--R 8 4 8 +--R + +--R 15 2 7 +--R (-- %i cosh(x) + 2cosh(x))sinh(x) +--R 8 +--R + +--R 5 3 35 2 6 +--R (- %i cosh(x) + -- cosh(x) + 1)sinh(x) +--R 2 8 +--R + +--R 15 4 3 1 2 3 +--R (-- %i cosh(x) + 5cosh(x) + - %i cosh(x) + 4cosh(x) - - %i) +--R 8 8 4 +--R * +--R 5 +--R sinh(x) +--R + +--R 3 5 25 4 1 3 53 2 +--R - %i cosh(x) + -- cosh(x) + - %i cosh(x) + -- cosh(x) +--R 4 8 2 8 +--R + +--R 5 3 +--R - - %i cosh(x) + - +--R 2 4 +--R * +--R 4 +--R sinh(x) +--R + +--R 1 6 5 3 4 3 +--R - %i cosh(x) + cosh(x) + - %i cosh(x) + 6cosh(x) +--R 8 4 +--R + +--R 27 2 +--R - -- %i cosh(x) + 2cosh(x) - %i +--R 8 +--R * +--R 3 +--R sinh(x) +--R + +--R 1 6 1 5 13 4 5 3 +--R - cosh(x) + - %i cosh(x) + -- cosh(x) - - %i cosh(x) +--R 8 2 4 2 +--R + +--R 17 2 +--R -- cosh(x) - 2%i cosh(x) +--R 8 +--R * +--R 2 +--R sinh(x) +--R + +--R 1 6 5 9 4 3 +--R - %i cosh(x) + cosh(x) - - %i cosh(x) + cosh(x) +--R 8 8 +--R + +--R 13 2 3 +--R - -- %i cosh(x) - - %i +--R 8 8 +--R * +--R sinh(x) +--R + +--R 1 6 1 5 1 4 1 3 1 2 +--R - cosh(x) - - %i cosh(x) + - cosh(x) - - %i cosh(x) - - cosh(x) +--R 8 4 8 2 8 +--R + +--R 1 1 +--R - - %i cosh(x) - - +--R 4 8 +--R * +--R atan(sinh(x)) +--R + +--R 1 8 1 3 7 +--R - - %i sinh(x) + (- - %i cosh(x) - -)sinh(x) +--R 8 2 8 +--R + +--R 5 2 5 19 6 +--R (- - %i cosh(x) - - cosh(x) + -- %i)sinh(x) +--R 8 4 8 +--R + +--R 9 2 19 5 +--R (- - cosh(x) + 6%i cosh(x) + --)sinh(x) +--R 8 8 +--R + +--R 5 4 1 3 5 2 19 11 4 +--R (- %i cosh(x) + - cosh(x) + - %i cosh(x) + -- cosh(x) + -- %i)sinh(x) +--R 8 2 2 4 8 +--R + +--R 1 5 11 4 3 1 2 +--R - %i cosh(x) + -- cosh(x) - 5%i cosh(x) - - cosh(x) +--R 2 8 4 +--R + +--R 11 15 +--R -- %i cosh(x) + -- +--R 2 8 +--R * +--R 3 +--R sinh(x) +--R + +--R 1 6 3 5 45 4 3 +--R - %i cosh(x) + - cosh(x) - -- %i cosh(x) - 6cosh(x) +--R 8 4 8 +--R + +--R 55 2 21 7 +--R -- %i cosh(x) + -- cosh(x) - - %i +--R 8 4 8 +--R * +--R 2 +--R sinh(x) +--R + +--R 1 6 5 33 4 3 39 2 +--R - cosh(x) - 2%i cosh(x) - -- cosh(x) + 3%i cosh(x) + -- cosh(x) +--R 8 8 8 +--R + +--R 7 +--R - %i cosh(x) - - +--R 8 +--R * +--R sinh(x) +--R + +--R 1 6 3 5 1 4 3 3 1 2 +--R - - %i cosh(x) - - cosh(x) + - %i cosh(x) + - cosh(x) - - %i cosh(x) +--R 4 4 4 2 4 +--R + +--R 3 1 +--R - - cosh(x) + - %i +--R 4 4 +--R / +--R 9 8 2 7 +--R sinh(x) + (6cosh(x) - 3%i)sinh(x) + (15cosh(x) - 16%i cosh(x))sinh(x) +--R + +--R 3 2 6 +--R (20cosh(x) - 35%i cosh(x) - 8%i)sinh(x) +--R + +--R 4 3 2 5 +--R (15cosh(x) - 40%i cosh(x) + cosh(x) - 32%i cosh(x) - 6)sinh(x) +--R + +--R 5 4 3 2 +--R 6cosh(x) - 25%i cosh(x) + 4cosh(x) - 53%i cosh(x) - 20cosh(x) +--R + +--R - 6%i +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R cosh(x) - 8%i cosh(x) + 6cosh(x) - 48%i cosh(x) - 27cosh(x) +--R + +--R - 16%i cosh(x) - 8 +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - %i cosh(x) + 4cosh(x) - 26%i cosh(x) - 20cosh(x) +--R + +--R 2 +--R - 17%i cosh(x) - 16cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R (cosh(x) - 8%i cosh(x) - 9cosh(x) - 8%i cosh(x) - 13cosh(x) - 3) +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - %i cosh(x) - 2cosh(x) - %i cosh(x) - 4cosh(x) + %i cosh(x) +--R + +--R - 2cosh(x) + %i +--R Type: Expression Complex Fraction Integer +--E 4 + +--S 5 of 552 +d0700:= D(m0700,x) +--R +--R +--R (5) +--R 10 9 +--R - 8%i sinh(x) + (- 39%i cosh(x) - 8)sinh(x) +--R + +--R 2 8 +--R (- 72%i cosh(x) - 38cosh(x) - 8%i)sinh(x) +--R + +--R 3 2 7 +--R (- 52%i cosh(x) - 66cosh(x) - 54%i cosh(x) - 8)sinh(x) +--R + +--R 4 3 2 6 +--R (16%i cosh(x) - 38cosh(x) - 124%i cosh(x) - 50cosh(x) + 8%i)sinh(x) +--R + +--R 5 4 3 2 +--R 62%i cosh(x) + 30cosh(x) - 122%i cosh(x) - 106cosh(x) +--R + +--R 8%i cosh(x) + 8 +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 56%i cosh(x) + 62cosh(x) - 40%i cosh(x) - 92cosh(x) +--R + +--R 2 +--R - 32%i cosh(x) + 14cosh(x) + 8%i +--R * +--R 4 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 28%i cosh(x) + 42cosh(x) + 14%i cosh(x) - 20cosh(x) +--R + +--R 3 2 +--R - 64%i cosh(x) - 14cosh(x) + 22%i cosh(x) + 8 +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 8%i cosh(x) + 14cosh(x) + 12%i cosh(x) + 14cosh(x) +--R + +--R 4 3 2 +--R - 40%i cosh(x) - 46cosh(x) + 20%i cosh(x) + 26cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 9 8 7 6 5 +--R %i cosh(x) + 2cosh(x) + 2%i cosh(x) + 6cosh(x) - 8%i cosh(x) +--R + +--R 4 3 2 +--R - 34cosh(x) + 6%i cosh(x) + 26cosh(x) - %i cosh(x) +--R * +--R sinh(x) +--R + +--R 5 3 +--R - 8cosh(x) + 8cosh(x) +--R / +--R 13 12 +--R sinh(x) + (8cosh(x) - 3%i)sinh(x) +--R + +--R 2 11 +--R (28cosh(x) - 22%i cosh(x) + 2)sinh(x) +--R + +--R 3 2 10 +--R (56cosh(x) - 70%i cosh(x) + 14cosh(x) - 14%i)sinh(x) +--R + +--R 4 3 2 9 +--R (70cosh(x) - 126%i cosh(x) + 44cosh(x) - 86%i cosh(x) - 5)sinh(x) +--R + +--R 5 4 3 2 +--R 56cosh(x) - 140%i cosh(x) + 82cosh(x) - 230%i cosh(x) - 26cosh(x) +--R + +--R - 25%i +--R * +--R 8 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 28cosh(x) - 98%i cosh(x) + 100cosh(x) - 352%i cosh(x) +--R + +--R 2 +--R - 56cosh(x) - 124%i cosh(x) - 20 +--R * +--R 7 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 8cosh(x) - 42%i cosh(x) + 82cosh(x) - 340%i cosh(x) - 64cosh(x) +--R + +--R 2 +--R - 268%i cosh(x) - 84cosh(x) - 20%i +--R * +--R 6 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R cosh(x) - 10%i cosh(x) + 44cosh(x) - 214%i cosh(x) - 40cosh(x) +--R + +--R 3 2 +--R - 332%i cosh(x) - 152cosh(x) - 76%i cosh(x) - 25 +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - %i cosh(x) + 14cosh(x) - 86%i cosh(x) - 10cosh(x) +--R + +--R 4 3 2 +--R - 260%i cosh(x) - 156cosh(x) - 124%i cosh(x) - 76cosh(x) - 5%i +--R * +--R 4 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R 2cosh(x) - 20%i cosh(x) + 4cosh(x) - 134%i cosh(x) - 100cosh(x) +--R + +--R 3 2 +--R - 112%i cosh(x) - 100cosh(x) - 14%i cosh(x) - 14 +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 2%i cosh(x) + 4cosh(x) - 46%i cosh(x) - 42cosh(x) +--R + +--R 4 3 2 +--R - 60%i cosh(x) - 72cosh(x) - 14%i cosh(x) - 26cosh(x) + 2%i +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R cosh(x) - 10%i cosh(x) - 12cosh(x) - 18%i cosh(x) - 30cosh(x) +--R + +--R 3 2 +--R - 6%i cosh(x) - 20cosh(x) + 2%i cosh(x) - 3 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 3 +--R - %i cosh(x) - 2cosh(x) - 2%i cosh(x) - 6cosh(x) - 6cosh(x) +--R + +--R 2 +--R 2%i cosh(x) - 2cosh(x) + %i +--R Type: Expression Complex Fraction Integer +--E 5 + +--S 6 of 552 +t0701:= sech(x)^4/(%i+csch(x)) +--R +--R +--R 4 +--R sech(x) +--R (6) ------------ +--R csch(x) + %i +--R Type: Expression Complex Integer +--E 6 + +--S 7 of 552 +r0701:= -1/15/cosh(x)^5*(2*%i*cosh(x)^4*sinh(x)+%i*sinh(x)*cosh(x)^2-_ + 3*%i*sinh(x)+3) +--R +--R +--R 4 2 +--R (- 2%i cosh(x) - %i cosh(x) + 3%i)sinh(x) - 3 +--R (7) ----------------------------------------------- +--R 5 +--R 15cosh(x) +--R Type: Expression Complex Integer +--E 7 + +--S 8 of 552 +a0701:= integrate(t0701,x) +--R +--R +--R (8) +--R 2 2 +--R 56%i sinh(x) + (128%i cosh(x) + 16)sinh(x) + 56%i cosh(x) + 32cosh(x) +--R + +--R - 8%i +--R / +--R 6 5 +--R 15sinh(x) + (90cosh(x) - 30%i)sinh(x) +--R + +--R 2 4 +--R (225cosh(x) - 150%i cosh(x) + 30)sinh(x) +--R + +--R 3 2 3 +--R (300cosh(x) - 300%i cosh(x) + 120cosh(x) - 90%i)sinh(x) +--R + +--R 4 3 2 2 +--R (225cosh(x) - 300%i cosh(x) + 180cosh(x) - 270%i cosh(x) - 15)sinh(x) +--R + +--R 5 4 3 2 +--R 90cosh(x) - 150%i cosh(x) + 120cosh(x) - 270%i cosh(x) +--R + +--R 30cosh(x) - 60%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 15cosh(x) - 30%i cosh(x) + 30cosh(x) - 90%i cosh(x) - 15cosh(x) +--R + +--R - 120%i cosh(x) - 30 +--R Type: Union(Expression Complex Integer,...) +--E 8 + +--S 9 of 552 +m0701:= a0701-r0701 +--R +--R +--R (9) +--R 4 2 7 +--R (2%i cosh(x) + %i cosh(x) - 3%i)sinh(x) +--R + +--R 5 4 3 2 +--R 12%i cosh(x) + 4cosh(x) + 6%i cosh(x) + 2cosh(x) - 18%i cosh(x) +--R + +--R - 3 +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 30%i cosh(x) + 20cosh(x) + 19%i cosh(x) + 10cosh(x) +--R + +--R 2 +--R - 43%i cosh(x) - 12cosh(x) - 12%i +--R * +--R 5 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 40%i cosh(x) + 40cosh(x) + 36%i cosh(x) + 32cosh(x) +--R + +--R 3 2 +--R - 52%i cosh(x) - 9cosh(x) - 54%i cosh(x) - 12 +--R * +--R 4 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 30%i cosh(x) + 40cosh(x) + 39%i cosh(x) + 56cosh(x) +--R + +--R 4 3 2 +--R - 35%i cosh(x) + 18cosh(x) - 97%i cosh(x) - 30cosh(x) - 15%i +--R * +--R 3 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 12%i cosh(x) + 20cosh(x) + 22%i cosh(x) + 46cosh(x) +--R + +--R 5 4 3 2 +--R 50%i cosh(x) + 41cosh(x) - 82%i cosh(x) - 14cosh(x) +--R + +--R - 60%i cosh(x) - 15 +--R * +--R 2 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 2%i cosh(x) + 4cosh(x) + 5%i cosh(x) + 14cosh(x) +--R + +--R 6 5 4 3 +--R 125%i cosh(x) + 50cosh(x) - 41%i cosh(x) + 14cosh(x) +--R + +--R 2 +--R - 53%i cosh(x) - 18cosh(x) - 6%i +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 56%i cosh(x) + 35cosh(x) - 14%i cosh(x) + 6cosh(x) - 18%i cosh(x) +--R + +--R 2 +--R - 3cosh(x) - 24%i cosh(x) - 6 +--R / +--R 5 6 6 5 5 +--R 15cosh(x) sinh(x) + (90cosh(x) - 30%i cosh(x) )sinh(x) +--R + +--R 7 6 5 4 +--R (225cosh(x) - 150%i cosh(x) + 30cosh(x) )sinh(x) +--R + +--R 8 7 6 5 3 +--R (300cosh(x) - 300%i cosh(x) + 120cosh(x) - 90%i cosh(x) )sinh(x) +--R + +--R 9 8 7 6 +--R 225cosh(x) - 300%i cosh(x) + 180cosh(x) - 270%i cosh(x) +--R + +--R 5 +--R - 15cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 90cosh(x) - 150%i cosh(x) + 120cosh(x) - 270%i cosh(x) +--R + +--R 6 5 +--R 30cosh(x) - 60%i cosh(x) +--R * +--R sinh(x) +--R + +--R 11 10 9 8 7 +--R 15cosh(x) - 30%i cosh(x) + 30cosh(x) - 90%i cosh(x) - 15cosh(x) +--R + +--R 6 5 +--R - 120%i cosh(x) - 30cosh(x) +--R Type: Expression Complex Integer +--E 9 + +--S 10 of 552 +d0701:= D(m0701,x) +--R +--R +--R (10) +--R 4 2 14 +--R (- 2%i cosh(x) - 3%i cosh(x) + 15%i)sinh(x) +--R + +--R 5 4 3 2 +--R - 24%i cosh(x) - 8cosh(x) - 36%i cosh(x) - 12cosh(x) +--R + +--R 180%i cosh(x) + 45 +--R * +--R 13 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 130%i cosh(x) - 88cosh(x) - 197%i cosh(x) - 132cosh(x) +--R + +--R 2 +--R 987%i cosh(x) + 480cosh(x) + 60%i +--R * +--R 12 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 416%i cosh(x) - 432cosh(x) - 648%i cosh(x) - 696cosh(x) +--R + +--R 3 2 +--R 3264%i cosh(x) + 2238cosh(x) + 660%i cosh(x) + 300 +--R * +--R 11 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 858%i cosh(x) - 1232cosh(x) - 1419%i cosh(x) - 2296cosh(x) +--R + +--R 4 3 2 +--R 7271%i cosh(x) + 5928cosh(x) + 3366%i cosh(x) + 2700cosh(x) - 30%i +--R * +--R 10 +--R sinh(x) +--R + +--R 9 8 7 6 +--R - 1144%i cosh(x) - 2200cosh(x) - 2156%i cosh(x) - 5140cosh(x) +--R + +--R 5 4 3 2 +--R 11556%i cosh(x) + 9519cosh(x) + 10404%i cosh(x) + 10656cosh(x) +--R + +--R 180%i cosh(x) + 750 +--R * +--R 9 +--R sinh(x) +--R + +--R 10 9 8 7 +--R - 858%i cosh(x) - 2376cosh(x) - 2277%i cosh(x) - 7884cosh(x) +--R + +--R 6 5 4 3 +--R 13259%i cosh(x) + 8560cosh(x) + 21602%i cosh(x) + 24000cosh(x) +--R + +--R 2 +--R 2526%i cosh(x) + 5820cosh(x) - 480%i +--R * +--R 8 +--R sinh(x) +--R + +--R 10 9 8 7 +--R - 1056cosh(x) - 1584%i cosh(x) - 7824cosh(x) + 9600%i cosh(x) +--R + +--R 6 5 4 3 +--R 1316cosh(x) + 31608%i cosh(x) + 33528cosh(x) + 10104%i cosh(x) +--R + +--R 2 +--R 19188cosh(x) - 2100%i cosh(x) + 840 +--R * +--R 7 +--R sinh(x) +--R + +--R 12 11 10 9 +--R 858%i cosh(x) + 1056cosh(x) - 561%i cosh(x) - 3792cosh(x) +--R + +--R 8 7 6 5 +--R - 315%i cosh(x) - 8496cosh(x) + 32956%i cosh(x) + 29112cosh(x) +--R + +--R 4 3 2 +--R 21602%i cosh(x) + 34788cosh(x) - 2655%i cosh(x) + 6060cosh(x) +--R + +--R - 885%i +--R * +--R 6 +--R sinh(x) +--R + +--R 13 12 11 10 +--R 1144%i cosh(x) + 2376cosh(x) + 132%i cosh(x) + 1548cosh(x) +--R + +--R 9 8 7 6 +--R - 12644%i cosh(x) - 16277cosh(x) + 23544%i cosh(x) + 13888cosh(x) +--R + +--R 5 4 3 2 +--R 28440%i cosh(x) + 37608cosh(x) + 1848%i cosh(x) + 16368cosh(x) +--R + +--R - 3480%i cosh(x) + 345 +--R * +--R 5 +--R sinh(x) +--R + +--R 14 13 12 11 +--R 858%i cosh(x) + 2200cosh(x) + 297%i cosh(x) + 4260cosh(x) +--R + +--R 10 9 8 7 +--R - 19239%i cosh(x) - 19456cosh(x) + 9856%i cosh(x) + 64cosh(x) +--R + +--R 6 5 4 3 +--R 23650%i cosh(x) + 24308cosh(x) + 8699%i cosh(x) + 22044cosh(x) +--R + +--R 2 +--R - 4389%i cosh(x) + 3060cosh(x) - 660%i +--R * +--R 4 +--R sinh(x) +--R + +--R 15 14 13 12 +--R 416%i cosh(x) + 1232cosh(x) + 184%i cosh(x) + 3528cosh(x) +--R + +--R 11 10 9 8 +--R - 15936%i cosh(x) - 16450cosh(x) + 820%i cosh(x) - 5988cosh(x) +--R + +--R 7 6 5 4 +--R 12840%i cosh(x) + 8588cosh(x) + 10236%i cosh(x) + 15960cosh(x) +--R + +--R 3 2 +--R - 1536%i cosh(x) + 6534cosh(x) - 2160%i cosh(x) - 60 +--R * +--R 3 +--R sinh(x) +--R + +--R 16 15 14 13 +--R 130%i cosh(x) + 432cosh(x) + 63%i cosh(x) + 1608cosh(x) +--R + +--R 12 11 10 9 +--R - 7867%i cosh(x) - 9144cosh(x) - 1250%i cosh(x) - 5444cosh(x) +--R + +--R 8 7 6 5 +--R 5156%i cosh(x) + 1948cosh(x) + 5439%i cosh(x) + 6052cosh(x) +--R + +--R 4 3 2 +--R 1417%i cosh(x) + 5292cosh(x) - 1596%i cosh(x) + 600cosh(x) - 180%i +--R * +--R 2 +--R sinh(x) +--R + +--R 17 16 15 14 +--R 24%i cosh(x) + 88cosh(x) + 12%i cosh(x) + 404cosh(x) +--R + +--R 13 12 11 10 +--R - 2164%i cosh(x) - 2919cosh(x) - 476%i cosh(x) - 2336cosh(x) +--R + +--R 9 8 7 6 +--R 1428%i cosh(x) + 1418cosh(x) + 816%i cosh(x) + 784cosh(x) +--R + +--R 5 4 3 2 +--R 1224%i cosh(x) + 1673cosh(x) - 384%i cosh(x) + 948cosh(x) +--R + +--R - 480%i cosh(x) - 60 +--R * +--R sinh(x) +--R + +--R 18 17 16 15 14 +--R 2%i cosh(x) + 8cosh(x) + %i cosh(x) + 44cosh(x) - 255%i cosh(x) +--R + +--R 13 12 11 10 +--R - 400cosh(x) - 30%i cosh(x) - 384cosh(x) + 88%i cosh(x) +--R + +--R 9 8 7 6 5 +--R 688cosh(x) - 235%i cosh(x) - 140cosh(x) + 257%i cosh(x) + 88cosh(x) +--R + +--R 4 3 2 +--R 184%i cosh(x) + 96cosh(x) - 12%i cosh(x) +--R / +--R 6 12 7 6 11 +--R 15cosh(x) sinh(x) + (180cosh(x) - 60%i cosh(x) )sinh(x) +--R + +--R 8 7 10 +--R (990cosh(x) - 660%i cosh(x) )sinh(x) +--R + +--R 9 8 6 9 +--R (3300cosh(x) - 3300%i cosh(x) - 300%i cosh(x) )sinh(x) +--R + +--R 10 9 7 6 8 +--R (7425cosh(x) - 9900%i cosh(x) - 2700%i cosh(x) - 330cosh(x) )sinh(x) +--R + +--R 11 10 8 7 +--R 11880cosh(x) - 19800%i cosh(x) - 10800%i cosh(x) - 2520cosh(x) +--R + +--R 6 +--R - 420%i cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 12 11 9 8 +--R 13860cosh(x) - 27720%i cosh(x) - 25200%i cosh(x) - 8520cosh(x) +--R + +--R 7 6 +--R - 3300%i cosh(x) - 900cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 13 12 10 +--R 11880cosh(x) - 27720%i cosh(x) - 37800%i cosh(x) +--R + +--R 9 8 7 6 +--R - 16680cosh(x) - 10740%i cosh(x) - 5400cosh(x) + 60%i cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 14 13 11 +--R 7425cosh(x) - 19800%i cosh(x) - 37800%i cosh(x) +--R + +--R 10 9 8 7 +--R - 20700cosh(x) - 18900%i cosh(x) - 13740cosh(x) - 660%i cosh(x) +--R + +--R 6 +--R - 825cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 15 14 12 11 +--R 3300cosh(x) - 9900%i cosh(x) - 25200%i cosh(x) - 16680cosh(x) +--R + +--R 10 9 8 7 +--R - 19500%i cosh(x) - 18960cosh(x) - 2520%i cosh(x) - 4140cosh(x) +--R + +--R 6 +--R 480%i cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 16 15 13 12 +--R 990cosh(x) - 3300%i cosh(x) - 10800%i cosh(x) - 8520cosh(x) +--R + +--R 11 10 9 8 +--R - 11820%i cosh(x) - 14940cosh(x) - 3000%i cosh(x) - 7110cosh(x) +--R + +--R 7 6 +--R 1080%i cosh(x) - 180cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 17 16 14 13 +--R 180cosh(x) - 660%i cosh(x) - 2700%i cosh(x) - 2520cosh(x) +--R + +--R 12 11 10 9 +--R - 3900%i cosh(x) - 6360cosh(x) - 1380%i cosh(x) - 5580cosh(x) +--R + +--R 8 7 6 +--R 720%i cosh(x) - 1080cosh(x) + 240%i cosh(x) +--R * +--R sinh(x) +--R + +--R 18 17 15 14 +--R 15cosh(x) - 60%i cosh(x) - 300%i cosh(x) - 330cosh(x) +--R + +--R 13 12 11 10 +--R - 540%i cosh(x) - 1140cosh(x) - 180%i cosh(x) - 1545cosh(x) +--R + +--R 9 8 7 6 +--R 600%i cosh(x) - 900cosh(x) + 480%i cosh(x) + 60cosh(x) +--R Type: Expression Complex Integer +--E 10 + +--S 11 of 552 +t0702:= csch(x)^3/(a+b*csch(x)) +--R +--R +--R 3 +--R csch(x) +--R (11) ------------- +--R b csch(x) + a +--R Type: Expression Integer +--E 11 + +--S 12 of 552 +r0702:= a*acoth(cosh(x))/b^2-2*a^2*atanh((a-b*tanh(1/2*x))/_ + (a^2+b^2)^(1/2))/b^2/(a^2+b^2)^(1/2)-coth(x)/b +--R +--R +--R (12) +--R x +--R b tanh(-) - a +-------+ +-------+ +--R 2 2 | 2 2 | 2 2 +--R 2a atanh(-------------) + a\|b + a acoth(cosh(x)) - b coth(x)\|b + a +--R +-------+ +--R | 2 2 +--R \|b + a +--R ------------------------------------------------------------------------- +--R +-------+ +--R 2 | 2 2 +--R b \|b + a +--R Type: Expression Integer +--E 12 + +--S 13 of 552 +a0702:= integrate(t0702,x) +--R +--R +--R (13) +--R 2 2 2 2 2 2 +--R (a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) - a ) +--R * +--R log +--R 2 2 2 2 2 +--R a sinh(x) + (2a cosh(x) + 2a b)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + 2b + a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 3 2 3 3 2 +--R (- 2a b - 2a )sinh(x) + (- 2a b - 2a )cosh(x) - 2b - 2a b +--R / +--R 2 2 +--R a sinh(x) + (2a cosh(x) + 2b)sinh(x) + a cosh(x) + 2b cosh(x) +--R + +--R - a +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) - a)\|b + a +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (- a sinh(x) - 2a cosh(x)sinh(x) - a cosh(x) + a)\|b + a +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R +-------+ +--R | 2 2 +--R - 2b\|b + a +--R / +--R +-------+ +--R 2 2 2 2 2 2 | 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b )\|b + a +--R Type: Union(Expression Integer,...) +--E 13 + +--S 14 of 552 +m0702:= a0702-r0702 +--R +--R +--R (14) +--R 2 2 2 2 2 2 +--R (a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) - a ) +--R * +--R log +--R 2 2 2 2 2 +--R a sinh(x) + (2a cosh(x) + 2a b)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + 2b + a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 3 2 3 3 2 +--R (- 2a b - 2a )sinh(x) + (- 2a b - 2a )cosh(x) - 2b - 2a b +--R / +--R 2 2 +--R a sinh(x) + (2a cosh(x) + 2b)sinh(x) + a cosh(x) + 2b cosh(x) +--R + +--R - a +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (a sinh(x) + 2a cosh(x)sinh(x) + a cosh(x) - a)\|b + a +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (- a sinh(x) - 2a cosh(x)sinh(x) - a cosh(x) + a)\|b + a +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 2 2 2 2 2 2 +--R (- 2a sinh(x) - 4a cosh(x)sinh(x) - 2a cosh(x) + 2a ) +--R * +--R x +--R b tanh(-) - a +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (- a sinh(x) - 2a cosh(x)sinh(x) - a cosh(x) + a)\|b + a +--R * +--R acoth(cosh(x)) +--R + +--R 2 +--R b coth(x)sinh(x) + 2b cosh(x)coth(x)sinh(x) +--R + +--R 2 +--R (b cosh(x) - b)coth(x) - 2b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R +-------+ +--R 2 2 2 2 2 2 | 2 2 +--R (b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b )\|b + a +--R Type: Expression Integer +--E 14 + +--S 15 of 552 +d0702:= D(m0702,x) +--R +--R +--R (15) +--R 2 7 +--R a b sinh(x) +--R + +--R 2 2 2 2 2 3 2 +--R (- a b cosh(x) + a b )coth(x) + (a b - a )cosh(x) +--R + +--R 2 2 3 +--R 6a b cosh(x) + a b + a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 2 3 2 +--R (- 6a b cosh(x) - 2b cosh(x) + 6a b cosh(x) + 2b )coth(x) +--R + +--R 2 3 3 3 2 2 +--R (6a b - 6a )cosh(x) + (2b + 13a b)cosh(x) +--R + +--R 2 3 3 2 +--R (4a b + 6a )cosh(x) - 2b - a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 2 2 +--R - 15a b cosh(x) - 10b cosh(x) + 18a b cosh(x) +--R + +--R 3 2 +--R 10b cosh(x) - 3a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 4 3 2 3 +--R (15a b - 15a )cosh(x) + (10b + 10a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (2a b + 18a )cosh(x) + (- 10b - 2a b)cosh(x) - a b - 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 +--R - 20a b cosh(x) - 20b cosh(x) + 32a b cosh(x) +--R + +--R 3 2 2 3 +--R 24b cosh(x) - 12a b cosh(x) - 4b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 5 3 2 4 +--R (20a b - 20a )cosh(x) + (20b - 5a b)cosh(x) +--R + +--R 2 3 3 3 2 2 3 +--R (- 12a b + 32a )cosh(x) + (- 16b + 6a b)cosh(x) - 12a cosh(x) +--R + +--R 3 2 +--R - 4b - a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 5 2 4 +--R - 15a b cosh(x) - 20b cosh(x) + 33a b cosh(x) +--R + +--R 3 3 2 2 3 2 +--R 32b cosh(x) - 21a b cosh(x) - 12b cosh(x) + 3a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 6 3 2 5 +--R (15a b - 15a )cosh(x) + (20b - 14a b)cosh(x) +--R + +--R 2 3 4 3 2 3 +--R (- 23a b + 33a )cosh(x) + (- 8b + 20a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (9a b - 21a )cosh(x) + (- 12b - 6a b)cosh(x) - a b + 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 6 2 5 +--R - 6a b cosh(x) - 10b cosh(x) + 18a b cosh(x) +--R + +--R 3 4 2 3 3 2 2 +--R 22b cosh(x) - 18a b cosh(x) - 14b cosh(x) + 6a b cosh(x) +--R + +--R 3 +--R 2b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 7 3 2 6 +--R (6a b - 6a )cosh(x) + (10b - 9a b)cosh(x) +--R + +--R 2 3 5 3 2 4 +--R (- 16a b + 18a )cosh(x) + (2b + 19a b)cosh(x) +--R + +--R 2 3 3 3 2 2 +--R (14a b - 18a )cosh(x) + (- 10b - 11a b)cosh(x) +--R + +--R 2 3 3 2 +--R (- 4a b + 6a )cosh(x) - 2b + a b +--R * +--R sinh(x) +--R + +--R 2 8 3 7 2 6 3 5 +--R - a b cosh(x) - 2b cosh(x) + 4a b cosh(x) + 6b cosh(x) +--R + +--R 2 4 3 3 2 2 3 2 +--R - 6a b cosh(x) - 6b cosh(x) + 4a b cosh(x) + 2b cosh(x) - a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 8 3 2 7 2 3 6 +--R (a b - a )cosh(x) + (2b - 2a b)cosh(x) + (- 4a b + 4a )cosh(x) +--R + +--R 3 2 5 2 3 4 3 2 3 +--R (2b + 6a b)cosh(x) + (6a b - 6a )cosh(x) + (- 2b - 6a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (- 4a b + 4a )cosh(x) + (- 2b + 2a b)cosh(x) + a b - a +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 3 7 +--R - 2a sinh(x) +--R + +--R 2 2 2 2 2 2 3 +--R (2a b cosh(x) - 2a b)coth(x) - 2a b cosh(x) - 12a cosh(x) +--R + +--R 2 +--R - 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 2 2 2 2 2 +--R (12a b cosh(x) + 4a b cosh(x) - 12a b cosh(x) - 4a b )coth(x) +--R + +--R 2 3 2 3 2 2 +--R - 12a b cosh(x) + (- 4a b - 30a )cosh(x) - 8a b cosh(x) +--R + +--R 2 3 +--R 4a b + 6a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 2 3 2 2 +--R 30a b cosh(x) + 20a b cosh(x) - 36a b cosh(x) +--R + +--R 2 2 +--R - 20a b cosh(x) + 6a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 2 3 3 2 2 +--R - 30a b cosh(x) + (- 20a b - 40a )cosh(x) - 4a b cosh(x) +--R + +--R 2 3 2 +--R (20a b + 24a )cosh(x) + 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 4 2 3 +--R 40a b cosh(x) + 40a b cosh(x) - 64a b cosh(x) +--R + +--R 2 2 2 2 +--R - 48a b cosh(x) + 24a b cosh(x) + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 5 2 3 4 2 3 +--R - 40a b cosh(x) + (- 40a b - 30a )cosh(x) + 24a b cosh(x) +--R + +--R 2 3 2 2 3 +--R (32a b + 36a )cosh(x) + 8a b - 6a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 5 2 4 +--R 30a b cosh(x) + 40a b cosh(x) - 66a b cosh(x) +--R + +--R 2 3 2 2 2 2 +--R - 64a b cosh(x) + 42a b cosh(x) + 24a b cosh(x) - 6a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 6 2 3 5 2 4 +--R - 30a b cosh(x) + (- 40a b - 12a )cosh(x) + 46a b cosh(x) +--R + +--R 2 3 3 2 2 2 3 +--R (16a b + 24a )cosh(x) - 18a b cosh(x) + (24a b - 12a )cosh(x) +--R + +--R 2 +--R 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 6 2 5 +--R 12a b cosh(x) + 20a b cosh(x) - 36a b cosh(x) +--R + +--R 2 4 2 3 2 2 +--R - 44a b cosh(x) + 36a b cosh(x) + 28a b cosh(x) +--R + +--R 2 2 +--R - 12a b cosh(x) - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 7 2 3 6 2 5 +--R - 12a b cosh(x) + (- 20a b - 2a )cosh(x) + 32a b cosh(x) +--R + +--R 2 3 4 2 3 2 3 2 +--R (- 4a b + 6a )cosh(x) - 28a b cosh(x) + (20a b - 6a )cosh(x) +--R + +--R 2 2 3 +--R 8a b cosh(x) + 4a b + 2a +--R * +--R sinh(x) +--R + +--R 2 8 2 7 2 6 2 5 +--R 2a b cosh(x) + 4a b cosh(x) - 8a b cosh(x) - 12a b cosh(x) +--R + +--R 2 4 2 3 2 2 2 +--R 12a b cosh(x) + 12a b cosh(x) - 8a b cosh(x) - 4a b cosh(x) +--R + +--R 2 +--R 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 8 2 7 2 6 2 5 +--R - 2a b cosh(x) - 4a b cosh(x) + 8a b cosh(x) - 4a b cosh(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R - 12a b cosh(x) + 4a b cosh(x) + 8a b cosh(x) + 4a b cosh(x) - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 2 7 +--R - a b sinh(x) +--R + +--R 2 2 2 2 2 3 2 2 +--R (a b cosh(x) - a b )coth(x) + (- a b + a )cosh(x) - 6a b cosh(x) +--R + +--R 2 3 +--R - a b - a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 3 2 2 3 2 +--R (6a b cosh(x) + 2b cosh(x) - 6a b cosh(x) - 2b )coth(x) +--R + +--R 2 3 3 3 2 2 +--R (- 6a b + 6a )cosh(x) + (- 2b - 13a b)cosh(x) +--R + +--R 2 3 3 2 +--R (- 4a b - 6a )cosh(x) + 2b + a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 3 3 2 2 3 +--R 15a b cosh(x) + 10b cosh(x) - 18a b cosh(x) - 10b cosh(x) +--R + +--R 2 +--R 3a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 4 3 2 3 +--R (- 15a b + 15a )cosh(x) + (- 10b - 10a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (- 2a b - 18a )cosh(x) + (10b + 2a b)cosh(x) + a b + 3a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 3 4 2 3 3 2 +--R 20a b cosh(x) + 20b cosh(x) - 32a b cosh(x) - 24b cosh(x) +--R + +--R 2 3 +--R 12a b cosh(x) + 4b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 5 3 2 4 +--R (- 20a b + 20a )cosh(x) + (- 20b + 5a b)cosh(x) +--R + +--R 2 3 3 3 2 2 3 3 +--R (12a b - 32a )cosh(x) + (16b - 6a b)cosh(x) + 12a cosh(x) + 4b +--R + +--R 2 +--R a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 3 5 2 4 3 3 +--R 15a b cosh(x) + 20b cosh(x) - 33a b cosh(x) - 32b cosh(x) +--R + +--R 2 2 3 2 +--R 21a b cosh(x) + 12b cosh(x) - 3a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 6 3 2 5 +--R (- 15a b + 15a )cosh(x) + (- 20b + 14a b)cosh(x) +--R + +--R 2 3 4 3 2 3 +--R (23a b - 33a )cosh(x) + (8b - 20a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (- 9a b + 21a )cosh(x) + (12b + 6a b)cosh(x) + a b - 3a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 3 6 2 5 3 4 +--R 6a b cosh(x) + 10b cosh(x) - 18a b cosh(x) - 22b cosh(x) +--R + +--R 2 3 3 2 2 3 +--R 18a b cosh(x) + 14b cosh(x) - 6a b cosh(x) - 2b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 7 3 2 6 +--R (- 6a b + 6a )cosh(x) + (- 10b + 9a b)cosh(x) +--R + +--R 2 3 5 3 2 4 +--R (16a b - 18a )cosh(x) + (- 2b - 19a b)cosh(x) +--R + +--R 2 3 3 3 2 2 +--R (- 14a b + 18a )cosh(x) + (10b + 11a b)cosh(x) +--R + +--R 2 3 3 2 +--R (4a b - 6a )cosh(x) + 2b - a b +--R * +--R sinh(x) +--R + +--R 2 8 3 7 2 6 3 5 +--R a b cosh(x) + 2b cosh(x) - 4a b cosh(x) - 6b cosh(x) +--R + +--R 2 4 3 3 2 2 3 2 +--R 6a b cosh(x) + 6b cosh(x) - 4a b cosh(x) - 2b cosh(x) + a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 3 8 3 2 7 2 3 6 +--R (- a b + a )cosh(x) + (- 2b + 2a b)cosh(x) + (4a b - 4a )cosh(x) +--R + +--R 3 2 5 2 3 4 3 2 3 +--R (- 2b - 6a b)cosh(x) + (- 6a b + 6a )cosh(x) + (2b + 6a b)cosh(x) +--R + +--R 2 3 2 3 2 2 3 +--R (4a b - 4a )cosh(x) + (2b - 2a b)cosh(x) - a b + a +--R / +--R 3 2 3 6 +--R (a b cosh(x) - a b )sinh(x) +--R + +--R 3 3 4 2 3 4 5 +--R (6a b cosh(x) + 2b cosh(x) - 6a b cosh(x) - 2b )sinh(x) +--R + +--R 3 4 4 3 3 2 4 +--R 15a b cosh(x) + 10b cosh(x) - 18a b cosh(x) - 10b cosh(x) +--R + +--R 3 +--R 3a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R 20a b cosh(x) + 20b cosh(x) - 32a b cosh(x) - 24b cosh(x) +--R + +--R 3 4 +--R 12a b cosh(x) + 4b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R 15a b cosh(x) + 20b cosh(x) - 33a b cosh(x) - 32b cosh(x) +--R + +--R 3 2 4 3 +--R 21a b cosh(x) + 12b cosh(x) - 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 4 6 3 5 4 4 +--R 6a b cosh(x) + 10b cosh(x) - 18a b cosh(x) - 22b cosh(x) +--R + +--R 3 3 4 2 3 4 +--R 18a b cosh(x) + 14b cosh(x) - 6a b cosh(x) - 2b +--R * +--R sinh(x) +--R + +--R 3 8 4 7 3 6 4 5 +--R a b cosh(x) + 2b cosh(x) - 4a b cosh(x) - 6b cosh(x) +--R + +--R 3 4 4 3 3 2 4 3 +--R 6a b cosh(x) + 6b cosh(x) - 4a b cosh(x) - 2b cosh(x) + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 2 2 2 6 +--R (- 2a b cosh(x) + 2a b )sinh(x) +--R + +--R 2 2 3 3 2 2 2 3 5 +--R (- 12a b cosh(x) - 4a b cosh(x) + 12a b cosh(x) + 4a b )sinh(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R - 30a b cosh(x) - 20a b cosh(x) + 36a b cosh(x) +--R + +--R 3 2 2 +--R 20a b cosh(x) - 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R - 40a b cosh(x) - 40a b cosh(x) + 64a b cosh(x) +--R + +--R 3 2 2 2 3 +--R 48a b cosh(x) - 24a b cosh(x) - 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R - 30a b cosh(x) - 40a b cosh(x) + 66a b cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R 64a b cosh(x) - 42a b cosh(x) - 24a b cosh(x) + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 7 3 6 2 2 5 +--R - 12a b cosh(x) - 20a b cosh(x) + 36a b cosh(x) +--R + +--R 3 4 2 2 3 3 2 2 2 +--R 44a b cosh(x) - 36a b cosh(x) - 28a b cosh(x) + 12a b cosh(x) +--R + +--R 3 +--R 4a b +--R * +--R sinh(x) +--R + +--R 2 2 8 3 7 2 2 6 3 5 +--R - 2a b cosh(x) - 4a b cosh(x) + 8a b cosh(x) + 12a b cosh(x) +--R + +--R 2 2 4 3 3 2 2 2 3 +--R - 12a b cosh(x) - 12a b cosh(x) + 8a b cosh(x) + 4a b cosh(x) +--R + +--R 2 2 +--R - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 2 3 6 +--R (- a b cosh(x) + a b )sinh(x) +--R + +--R 3 3 4 2 3 4 5 +--R (- 6a b cosh(x) - 2b cosh(x) + 6a b cosh(x) + 2b )sinh(x) +--R + +--R 3 4 4 3 3 2 4 +--R - 15a b cosh(x) - 10b cosh(x) + 18a b cosh(x) + 10b cosh(x) +--R + +--R 3 +--R - 3a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R - 20a b cosh(x) - 20b cosh(x) + 32a b cosh(x) + 24b cosh(x) +--R + +--R 3 4 +--R - 12a b cosh(x) - 4b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R - 15a b cosh(x) - 20b cosh(x) + 33a b cosh(x) + 32b cosh(x) +--R + +--R 3 2 4 3 +--R - 21a b cosh(x) - 12b cosh(x) + 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 4 6 3 5 4 4 +--R - 6a b cosh(x) - 10b cosh(x) + 18a b cosh(x) + 22b cosh(x) +--R + +--R 3 3 4 2 3 4 +--R - 18a b cosh(x) - 14b cosh(x) + 6a b cosh(x) + 2b +--R * +--R sinh(x) +--R + +--R 3 8 4 7 3 6 4 5 +--R - a b cosh(x) - 2b cosh(x) + 4a b cosh(x) + 6b cosh(x) +--R + +--R 3 4 4 3 3 2 4 3 +--R - 6a b cosh(x) - 6b cosh(x) + 4a b cosh(x) + 2b cosh(x) - a b +--R Type: Expression Integer +--E 15 + +--S 16 of 552 +t0703:= csch(x)^4/(a+b*csch(x)) +--R +--R +--R 4 +--R csch(x) +--R (16) ------------- +--R b csch(x) + a +--R Type: Expression Integer +--E 16 + +--S 17 of 552 +r0703:= -a^2*acoth(cosh(x))/b^3+1/2*acoth(cosh(x))/b+_ + 2*a^3*atanh((a-b*tanh(1/2*x))/(a^2+b^2)^(1/2))/b^3/(a^2+b^2)^(1/2)+_ + a*coth(x)/b^2-1/2*coth(x)*csch(x)/b +--R +--R +--R (17) +--R x +--R b tanh(-) - a +-------+ +--R 3 2 2 2 | 2 2 +--R - 4a atanh(-------------) + (b - 2a )\|b + a acoth(cosh(x)) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R 2 | 2 2 +--R (- b coth(x)csch(x) + 2a b coth(x))\|b + a +--R / +--R +-------+ +--R 3 | 2 2 +--R 2b \|b + a +--R Type: Expression Integer +--E 17 + +--S 18 of 552 +a0703:= integrate(t0703,x) +--R +--R +--R (18) +--R 3 4 3 3 3 2 3 2 +--R 2a sinh(x) + 8a cosh(x)sinh(x) + (12a cosh(x) - 4a )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (8a cosh(x) - 8a cosh(x))sinh(x) + 2a cosh(x) - 4a cosh(x) + 2a +--R * +--R log +--R 2 2 2 2 2 +--R a sinh(x) + (2a cosh(x) + 2a b)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + 2b + a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 3 2 3 3 2 +--R (2a b + 2a )sinh(x) + (2a b + 2a )cosh(x) + 2b + 2a b +--R / +--R 2 2 +--R a sinh(x) + (2a cosh(x) + 2b)sinh(x) + a cosh(x) + 2b cosh(x) +--R + +--R - a +--R + +--R 2 2 4 2 2 3 +--R (b - 2a )sinh(x) + (4b - 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((6b - 12a )cosh(x) - 2b + 4a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((4b - 8a )cosh(x) + (- 4b + 8a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (b - 2a )cosh(x) + (- 2b + 4a )cosh(x) + b - 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 4 2 2 3 +--R (- b + 2a )sinh(x) + (- 4b + 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((- 6b + 12a )cosh(x) + 2b - 4a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((- 4b + 8a )cosh(x) + (4b - 8a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (- b + 2a )cosh(x) + (2b - 4a )cosh(x) - b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R 2 3 2 2 +--R - 2b sinh(x) + (- 6b cosh(x) + 4a b)sinh(x) +--R + +--R 2 2 2 2 3 +--R (- 6b cosh(x) + 8a b cosh(x) - 2b )sinh(x) - 2b cosh(x) +--R + +--R 2 2 +--R 4a b cosh(x) - 2b cosh(x) - 4a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 3 4 3 3 3 2 3 2 +--R 2b sinh(x) + 8b cosh(x)sinh(x) + (12b cosh(x) - 4b )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (8b cosh(x) - 8b cosh(x))sinh(x) + 2b cosh(x) - 4b cosh(x) + 2b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 18 + +--S 19 of 552 +m0703:= a0703-r0703 +--R +--R +--R (19) +--R 3 4 3 3 3 2 3 2 +--R 2a sinh(x) + 8a cosh(x)sinh(x) + (12a cosh(x) - 4a )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (8a cosh(x) - 8a cosh(x))sinh(x) + 2a cosh(x) - 4a cosh(x) + 2a +--R * +--R log +--R 2 2 2 2 2 +--R a sinh(x) + (2a cosh(x) + 2a b)sinh(x) + a cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + 2b + a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 3 2 3 3 2 +--R (2a b + 2a )sinh(x) + (2a b + 2a )cosh(x) + 2b + 2a b +--R / +--R 2 2 +--R a sinh(x) + (2a cosh(x) + 2b)sinh(x) + a cosh(x) + 2b cosh(x) +--R + +--R - a +--R + +--R 2 2 4 2 2 3 +--R (b - 2a )sinh(x) + (4b - 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((6b - 12a )cosh(x) - 2b + 4a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((4b - 8a )cosh(x) + (- 4b + 8a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (b - 2a )cosh(x) + (- 2b + 4a )cosh(x) + b - 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 4 2 2 3 +--R (- b + 2a )sinh(x) + (- 4b + 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((- 6b + 12a )cosh(x) + 2b - 4a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((- 4b + 8a )cosh(x) + (4b - 8a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (- b + 2a )cosh(x) + (2b - 4a )cosh(x) - b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R 3 4 3 3 3 2 3 2 +--R 4a sinh(x) + 16a cosh(x)sinh(x) + (24a cosh(x) - 8a )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (16a cosh(x) - 16a cosh(x))sinh(x) + 4a cosh(x) - 8a cosh(x) + 4a +--R * +--R x +--R b tanh(-) - a +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 2 4 2 2 3 +--R (- b + 2a )sinh(x) + (- 4b + 8a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R ((- 6b + 12a )cosh(x) + 2b - 4a )sinh(x) +--R + +--R 2 2 3 2 2 +--R ((- 4b + 8a )cosh(x) + (4b - 8a )cosh(x))sinh(x) +--R + +--R 2 2 4 2 2 2 2 2 +--R (- b + 2a )cosh(x) + (2b - 4a )cosh(x) - b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a acoth(cosh(x)) +--R + +--R 2 4 +--R (b coth(x)csch(x) - 2a b coth(x))sinh(x) +--R + +--R 2 2 3 +--R (4b cosh(x)coth(x)csch(x) - 8a b cosh(x)coth(x) - 2b )sinh(x) +--R + +--R 2 2 2 +--R (6b cosh(x) - 2b )coth(x)csch(x) +--R + +--R 2 2 +--R (- 12a b cosh(x) + 4a b)coth(x) - 6b cosh(x) + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 2 +--R (4b cosh(x) - 4b cosh(x))coth(x)csch(x) +--R + +--R 3 2 2 +--R (- 8a b cosh(x) + 8a b cosh(x))coth(x) - 6b cosh(x) +--R + +--R 2 +--R 8a b cosh(x) - 2b +--R * +--R sinh(x) +--R + +--R 2 4 2 2 2 +--R (b cosh(x) - 2b cosh(x) + b )coth(x)csch(x) +--R + +--R 4 2 2 3 +--R (- 2a b cosh(x) + 4a b cosh(x) - 2a b)coth(x) - 2b cosh(x) +--R + +--R 2 2 +--R 4a b cosh(x) - 2b cosh(x) - 4a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 3 4 3 3 3 2 3 2 +--R 2b sinh(x) + 8b cosh(x)sinh(x) + (12b cosh(x) - 4b )sinh(x) +--R + +--R 3 3 3 3 4 3 2 3 +--R (8b cosh(x) - 8b cosh(x))sinh(x) + 2b cosh(x) - 4b cosh(x) + 2b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 19 + +--S 20 of 552 +d0703:= D(m0703,x) +--R +--R +--R (20) +--R 3 3 9 +--R (a b - 2a b)sinh(x) +--R + +--R 3 2 3 2 3 2 3 +--R ((- 2a b cosh(x) + 2a b )coth(x) + a b cosh(x) - a b )csch(x) +--R + +--R 2 2 2 2 2 2 2 2 4 2 +--R (2a b cosh(x) - 2a b )coth(x) + (- 2a b + 2a )cosh(x) +--R + +--R 3 3 4 2 2 4 +--R (8a b - 16a b)cosh(x) + 2b - 2a b - 2a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 3 4 2 3 4 +--R (- 16a b cosh(x) - 4b cosh(x) + 16a b cosh(x) + 4b ) +--R * +--R 2 +--R coth(x) +--R + +--R 3 3 4 2 3 4 +--R 8a b cosh(x) + 2b cosh(x) - 8a b cosh(x) - 2b +--R * +--R csch(x) +--R + +--R 2 2 3 3 2 2 2 3 2 +--R (16a b cosh(x) + 4a b cosh(x) - 16a b cosh(x) - 4a b )coth(x) +--R + +--R 2 2 4 3 3 3 2 +--R (- 16a b + 16a )cosh(x) + (24a b - 52a b)cosh(x) +--R + +--R 4 2 2 4 3 +--R (14b - 12a b - 16a )cosh(x) + 4a b +--R * +--R 7 +--R sinh(x) +--R + +--R 3 4 4 3 3 2 +--R - 56a b cosh(x) - 28b cosh(x) + 64a b cosh(x) +--R + +--R 4 3 +--R 28b cosh(x) - 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 4 4 3 3 2 4 +--R 28a b cosh(x) + 14b cosh(x) - 32a b cosh(x) - 14b cosh(x) +--R + +--R 3 +--R 4a b +--R * +--R csch(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R 56a b cosh(x) + 28a b cosh(x) - 64a b cosh(x) +--R + +--R 3 2 2 +--R - 28a b cosh(x) + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 4 3 3 3 +--R (- 56a b + 56a )cosh(x) + (28a b - 84a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (42b - 20a b - 64a )cosh(x) + (4a b + 20a b)cosh(x) - 6b +--R + +--R 2 2 4 +--R 4a b + 8a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 5 4 4 3 3 +--R - 112a b cosh(x) - 84b cosh(x) + 160a b cosh(x) +--R + +--R 4 2 3 4 +--R 96b cosh(x) - 48a b cosh(x) - 12b +--R * +--R 2 +--R coth(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R 56a b cosh(x) + 42b cosh(x) - 80a b cosh(x) - 48b cosh(x) +--R + +--R 3 4 +--R 24a b cosh(x) + 6b +--R * +--R csch(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R 112a b cosh(x) + 84a b cosh(x) - 160a b cosh(x) +--R + +--R 3 2 2 2 3 +--R - 96a b cosh(x) + 48a b cosh(x) + 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 5 3 3 4 +--R (- 112a b + 112a )cosh(x) + (- 14a b - 56a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (70b + 20a b - 160a )cosh(x) + (36a b + 24a b)cosh(x) +--R + +--R 4 2 2 4 3 +--R (- 30b + 12a b + 48a )cosh(x) - 6a b +--R * +--R 5 +--R sinh(x) +--R + +--R 3 6 4 5 3 4 +--R - 140a b cosh(x) - 140b cosh(x) + 260a b cosh(x) +--R + +--R 4 3 3 2 4 3 +--R 200b cosh(x) - 132a b cosh(x) - 60b cosh(x) + 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 6 4 5 3 4 +--R 70a b cosh(x) + 70b cosh(x) - 130a b cosh(x) +--R + +--R 4 3 3 2 4 3 +--R - 100b cosh(x) + 66a b cosh(x) + 30b cosh(x) - 6a b +--R * +--R csch(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R 140a b cosh(x) + 140a b cosh(x) - 260a b cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R - 200a b cosh(x) + 132a b cosh(x) + 60a b cosh(x) - 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 6 3 3 5 +--R (- 140a b + 140a )cosh(x) + (- 84a b + 28a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (70b + 120a b - 260a )cosh(x) + (120a b - 40a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 +--R (- 28b - 12a b + 132a )cosh(x) + (- 36a b + 12a b)cosh(x) +--R + +--R 4 4 +--R - 26b - 12a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 7 4 6 3 5 +--R - 112a b cosh(x) - 140b cosh(x) + 272a b cosh(x) +--R + +--R 4 4 3 3 4 2 +--R 260b cosh(x) - 208a b cosh(x) - 132b cosh(x) +--R + +--R 3 4 +--R 48a b cosh(x) + 12b +--R * +--R 2 +--R coth(x) +--R + +--R 3 7 4 6 3 5 +--R 56a b cosh(x) + 70b cosh(x) - 136a b cosh(x) +--R + +--R 4 4 3 3 4 2 +--R - 130b cosh(x) + 104a b cosh(x) + 66b cosh(x) +--R + +--R 3 4 +--R - 24a b cosh(x) - 6b +--R * +--R csch(x) +--R + +--R 2 2 7 3 6 2 2 5 +--R 112a b cosh(x) + 140a b cosh(x) - 272a b cosh(x) +--R + +--R 3 4 2 2 3 3 2 +--R - 260a b cosh(x) + 208a b cosh(x) + 132a b cosh(x) +--R + +--R 2 2 3 +--R - 48a b cosh(x) - 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 7 3 3 6 +--R (- 112a b + 112a )cosh(x) + (- 112a b + 84a b)cosh(x) +--R + +--R 4 2 2 4 5 3 3 4 +--R (42b + 188a b - 272a )cosh(x) + (200a b - 140a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (68b - 88a b + 208a )cosh(x) + (- 96a b + 60a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (- 110b + 12a b - 48a )cosh(x) + 8a b - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 8 4 7 3 6 +--R - 56a b cosh(x) - 84b cosh(x) + 176a b cosh(x) +--R + +--R 4 5 3 4 4 3 +--R 204b cosh(x) - 192a b cosh(x) - 156b cosh(x) +--R + +--R 3 2 4 3 +--R 80a b cosh(x) + 36b cosh(x) - 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 8 4 7 3 6 +--R 28a b cosh(x) + 42b cosh(x) - 88a b cosh(x) +--R + +--R 4 5 3 4 4 3 +--R - 102b cosh(x) + 96a b cosh(x) + 78b cosh(x) +--R + +--R 3 2 4 3 +--R - 40a b cosh(x) - 18b cosh(x) + 4a b +--R * +--R csch(x) +--R + +--R 2 2 8 3 7 2 2 6 +--R 56a b cosh(x) + 84a b cosh(x) - 176a b cosh(x) +--R + +--R 3 5 2 2 4 3 3 +--R - 204a b cosh(x) + 192a b cosh(x) + 156a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R - 80a b cosh(x) - 36a b cosh(x) + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 8 3 3 7 +--R (- 56a b + 56a )cosh(x) + (- 76a b + 68a b)cosh(x) +--R + +--R 4 2 2 4 6 3 3 5 +--R (14b + 148a b - 176a )cosh(x) + (180a b - 156a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (162b - 132a b + 192a )cosh(x) + (- 132a b + 108a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (- 174b + 44a b - 80a )cosh(x) + (28a b - 20a b)cosh(x) - 2b +--R + +--R 2 2 4 +--R - 4a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 9 4 8 3 7 +--R - 16a b cosh(x) - 28b cosh(x) + 64a b cosh(x) +--R + +--R 4 6 3 5 4 4 +--R 88b cosh(x) - 96a b cosh(x) - 96b cosh(x) +--R + +--R 3 3 4 2 3 4 +--R 64a b cosh(x) + 40b cosh(x) - 16a b cosh(x) - 4b +--R * +--R 2 +--R coth(x) +--R + +--R 3 9 4 8 3 7 4 6 +--R 8a b cosh(x) + 14b cosh(x) - 32a b cosh(x) - 44b cosh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R 48a b cosh(x) + 48b cosh(x) - 32a b cosh(x) - 20b cosh(x) +--R + +--R 3 4 +--R 8a b cosh(x) + 2b +--R * +--R csch(x) +--R + +--R 2 2 9 3 8 2 2 7 +--R 16a b cosh(x) + 28a b cosh(x) - 64a b cosh(x) +--R + +--R 3 6 2 2 5 3 4 +--R - 88a b cosh(x) + 96a b cosh(x) + 96a b cosh(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R - 64a b cosh(x) - 40a b cosh(x) + 16a b cosh(x) + 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 9 3 3 8 +--R (- 16a b + 16a )cosh(x) + (- 27a b + 26a b)cosh(x) +--R + +--R 4 2 2 4 7 3 3 6 +--R (2b + 60a b - 64a )cosh(x) + (84a b - 80a b)cosh(x) +--R + +--R 4 2 2 4 5 3 3 4 +--R (122b - 84a b + 96a )cosh(x) + (- 90a b + 84a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (- 122b + 52a b - 64a )cosh(x) + (36a b - 32a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (- 2b - 12a b + 16a )cosh(x) - 3a b + 2a b +--R * +--R sinh(x) +--R + +--R 3 10 4 9 3 8 +--R - 2a b cosh(x) - 4b cosh(x) + 10a b cosh(x) +--R + +--R 4 7 3 6 4 5 3 4 +--R 16b cosh(x) - 20a b cosh(x) - 24b cosh(x) + 20a b cosh(x) +--R + +--R 4 3 3 2 4 3 +--R 16b cosh(x) - 10a b cosh(x) - 4b cosh(x) + 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 10 4 9 3 8 4 7 +--R a b cosh(x) + 2b cosh(x) - 5a b cosh(x) - 8b cosh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R 10a b cosh(x) + 12b cosh(x) - 10a b cosh(x) - 8b cosh(x) +--R + +--R 3 2 4 3 +--R 5a b cosh(x) + 2b cosh(x) - a b +--R * +--R csch(x) +--R + +--R 2 2 10 3 9 2 2 8 3 7 +--R 2a b cosh(x) + 4a b cosh(x) - 10a b cosh(x) - 16a b cosh(x) +--R + +--R 2 2 6 3 5 2 2 4 3 3 +--R 20a b cosh(x) + 24a b cosh(x) - 20a b cosh(x) - 16a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R 10a b cosh(x) + 4a b cosh(x) - 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 10 3 3 9 +--R (- 2a b + 2a )cosh(x) + (- 4a b + 4a b)cosh(x) +--R + +--R 2 2 4 8 3 3 7 +--R (10a b - 10a )cosh(x) + (16a b - 16a b)cosh(x) +--R + +--R 4 2 2 4 6 3 3 5 +--R (32b - 20a b + 20a )cosh(x) + (- 24a b + 24a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (- 32b + 20a b - 20a )cosh(x) + (16a b - 16a b)cosh(x) +--R + +--R 2 2 4 2 3 3 2 2 4 +--R (- 10a b + 10a )cosh(x) + (- 4a b + 4a b)cosh(x) + 2a b - 2a +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 2 4 9 +--R (- 2a b + 4a )sinh(x) +--R + +--R 2 2 2 2 2 2 2 2 2 2 2 +--R ((4a b cosh(x) - 4a b )coth(x) - 2a b cosh(x) + 2a b )csch(x) +--R + +--R 3 2 3 2 3 2 +--R (- 4a b cosh(x) + 4a b)coth(x) + 4a b cosh(x) +--R + +--R 2 2 4 3 3 +--R (- 16a b + 32a )cosh(x) - 4a b + 4a b +--R * +--R 8 +--R sinh(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R (32a b cosh(x) + 8a b cosh(x) - 32a b cosh(x) - 8a b ) +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R - 16a b cosh(x) - 4a b cosh(x) + 16a b cosh(x) + 4a b +--R * +--R csch(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R (- 32a b cosh(x) - 8a b cosh(x) + 32a b cosh(x) + 8a b ) +--R * +--R 2 +--R coth(x) +--R + +--R 3 3 2 2 4 2 +--R 32a b cosh(x) + (- 48a b + 112a )cosh(x) +--R + +--R 3 3 4 +--R (- 28a b + 24a b)cosh(x) - 16a +--R * +--R 7 +--R sinh(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R 112a b cosh(x) + 56a b cosh(x) - 128a b cosh(x) +--R + +--R 3 2 2 +--R - 56a b cosh(x) + 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R - 56a b cosh(x) - 28a b cosh(x) + 64a b cosh(x) +--R + +--R 3 2 2 +--R 28a b cosh(x) - 8a b +--R * +--R csch(x) +--R + +--R 3 4 2 2 3 3 2 +--R - 112a b cosh(x) - 56a b cosh(x) + 128a b cosh(x) +--R + +--R 2 2 3 +--R 56a b cosh(x) - 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 4 2 2 4 3 +--R 112a b cosh(x) + (- 56a b + 224a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 +--R (- 84a b + 40a b)cosh(x) + (- 8a b - 96a )cosh(x) + 12a b +--R + +--R 3 +--R - 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R 224a b cosh(x) + 168a b cosh(x) - 320a b cosh(x) +--R + +--R 3 2 2 2 3 +--R - 192a b cosh(x) + 96a b cosh(x) + 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R - 112a b cosh(x) - 84a b cosh(x) + 160a b cosh(x) +--R + +--R 3 2 2 2 3 +--R 96a b cosh(x) - 48a b cosh(x) - 12a b +--R * +--R csch(x) +--R + +--R 3 5 2 2 4 3 3 +--R - 224a b cosh(x) - 168a b cosh(x) + 320a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R 192a b cosh(x) - 96a b cosh(x) - 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 5 2 2 4 4 +--R 224a b cosh(x) + (28a b + 280a )cosh(x) +--R + +--R 3 3 3 2 2 4 2 +--R (- 140a b - 40a b)cosh(x) + (- 72a b - 240a )cosh(x) +--R + +--R 3 3 2 2 4 +--R (60a b - 24a b)cosh(x) + 12a b + 24a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R 280a b cosh(x) + 280a b cosh(x) - 520a b cosh(x) +--R + +--R 3 3 2 2 2 3 +--R - 400a b cosh(x) + 264a b cosh(x) + 120a b cosh(x) +--R + +--R 2 2 +--R - 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R - 140a b cosh(x) - 140a b cosh(x) + 260a b cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R 200a b cosh(x) - 132a b cosh(x) - 60a b cosh(x) + 12a b +--R * +--R csch(x) +--R + +--R 3 6 2 2 5 3 4 +--R - 280a b cosh(x) - 280a b cosh(x) + 520a b cosh(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R 400a b cosh(x) - 264a b cosh(x) - 120a b cosh(x) + 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 6 2 2 4 5 +--R 280a b cosh(x) + (168a b + 224a )cosh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (- 140a b - 240a b)cosh(x) + (- 240a b - 320a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 +--R (56a b + 24a b)cosh(x) + (72a b + 96a )cosh(x) + 52a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 7 3 6 2 2 5 +--R 224a b cosh(x) + 280a b cosh(x) - 544a b cosh(x) +--R + +--R 3 4 2 2 3 3 2 +--R - 520a b cosh(x) + 416a b cosh(x) + 264a b cosh(x) +--R + +--R 2 2 3 +--R - 96a b cosh(x) - 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 7 3 6 2 2 5 +--R - 112a b cosh(x) - 140a b cosh(x) + 272a b cosh(x) +--R + +--R 3 4 2 2 3 3 2 +--R 260a b cosh(x) - 208a b cosh(x) - 132a b cosh(x) +--R + +--R 2 2 3 +--R 48a b cosh(x) + 12a b +--R * +--R csch(x) +--R + +--R 3 7 2 2 6 3 5 +--R - 224a b cosh(x) - 280a b cosh(x) + 544a b cosh(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R 520a b cosh(x) - 416a b cosh(x) - 264a b cosh(x) +--R + +--R 3 2 2 +--R 96a b cosh(x) + 24a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 7 2 2 4 6 +--R 224a b cosh(x) + (224a b + 112a )cosh(x) +--R + +--R 3 3 5 2 2 4 4 +--R (- 84a b - 376a b)cosh(x) + (- 400a b - 240a )cosh(x) +--R + +--R 3 3 3 2 2 4 2 +--R (- 136a b + 176a b)cosh(x) + (192a b + 144a )cosh(x) +--R + +--R 3 3 2 2 4 +--R (220a b - 24a b)cosh(x) - 16a b - 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 8 3 7 2 2 6 +--R 112a b cosh(x) + 168a b cosh(x) - 352a b cosh(x) +--R + +--R 3 5 2 2 4 3 3 +--R - 408a b cosh(x) + 384a b cosh(x) + 312a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R - 160a b cosh(x) - 72a b cosh(x) + 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 8 3 7 2 2 6 +--R - 56a b cosh(x) - 84a b cosh(x) + 176a b cosh(x) +--R + +--R 3 5 2 2 4 3 3 +--R 204a b cosh(x) - 192a b cosh(x) - 156a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R 80a b cosh(x) + 36a b cosh(x) - 8a b +--R * +--R csch(x) +--R + +--R 3 8 2 2 7 3 6 +--R - 112a b cosh(x) - 168a b cosh(x) + 352a b cosh(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R 408a b cosh(x) - 384a b cosh(x) - 312a b cosh(x) +--R + +--R 3 2 2 2 3 +--R 160a b cosh(x) + 72a b cosh(x) - 16a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 8 2 2 4 7 +--R 112a b cosh(x) + (152a b + 32a )cosh(x) +--R + +--R 3 3 6 2 2 4 5 +--R (- 28a b - 296a b)cosh(x) + (- 360a b - 96a )cosh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (- 324a b + 264a b)cosh(x) + (264a b + 96a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (348a b - 88a b)cosh(x) + (- 56a b - 32a )cosh(x) + 4a b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 9 3 8 2 2 7 +--R 32a b cosh(x) + 56a b cosh(x) - 128a b cosh(x) +--R + +--R 3 6 2 2 5 3 4 +--R - 176a b cosh(x) + 192a b cosh(x) + 192a b cosh(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R - 128a b cosh(x) - 80a b cosh(x) + 32a b cosh(x) + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 9 3 8 2 2 7 +--R - 16a b cosh(x) - 28a b cosh(x) + 64a b cosh(x) +--R + +--R 3 6 2 2 5 3 4 +--R 88a b cosh(x) - 96a b cosh(x) - 96a b cosh(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R 64a b cosh(x) + 40a b cosh(x) - 16a b cosh(x) - 4a b +--R * +--R csch(x) +--R + +--R 3 9 2 2 8 3 7 +--R - 32a b cosh(x) - 56a b cosh(x) + 128a b cosh(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R 176a b cosh(x) - 192a b cosh(x) - 192a b cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R 128a b cosh(x) + 80a b cosh(x) - 32a b cosh(x) - 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 9 2 2 4 8 +--R 32a b cosh(x) + (54a b + 4a )cosh(x) +--R + +--R 3 3 7 2 2 4 6 +--R (- 4a b - 120a b)cosh(x) + (- 168a b - 16a )cosh(x) +--R + +--R 3 3 5 2 2 4 4 +--R (- 244a b + 168a b)cosh(x) + (180a b + 24a )cosh(x) +--R + +--R 3 3 3 2 2 4 2 +--R (244a b - 104a b)cosh(x) + (- 72a b - 16a )cosh(x) +--R + +--R 3 3 2 2 4 +--R (4a b + 24a b)cosh(x) + 6a b + 4a +--R * +--R sinh(x) +--R + +--R 2 2 10 3 9 2 2 8 +--R 4a b cosh(x) + 8a b cosh(x) - 20a b cosh(x) +--R + +--R 3 7 2 2 6 3 5 +--R - 32a b cosh(x) + 40a b cosh(x) + 48a b cosh(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R - 40a b cosh(x) - 32a b cosh(x) + 20a b cosh(x) +--R + +--R 3 2 2 +--R 8a b cosh(x) - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 10 3 9 2 2 8 +--R - 2a b cosh(x) - 4a b cosh(x) + 10a b cosh(x) +--R + +--R 3 7 2 2 6 3 5 2 2 4 +--R 16a b cosh(x) - 20a b cosh(x) - 24a b cosh(x) + 20a b cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R 16a b cosh(x) - 10a b cosh(x) - 4a b cosh(x) + 2a b +--R * +--R csch(x) +--R + +--R 3 10 2 2 9 3 8 +--R - 4a b cosh(x) - 8a b cosh(x) + 20a b cosh(x) +--R + +--R 2 2 7 3 6 2 2 5 3 4 +--R 32a b cosh(x) - 40a b cosh(x) - 48a b cosh(x) + 40a b cosh(x) +--R + +--R 2 2 3 3 2 2 2 3 +--R 32a b cosh(x) - 20a b cosh(x) - 8a b cosh(x) + 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 10 2 2 9 3 8 2 2 7 +--R 4a b cosh(x) + 8a b cosh(x) - 20a b cosh(x) - 32a b cosh(x) +--R + +--R 3 3 6 2 2 5 +--R (- 64a b + 40a b)cosh(x) + 48a b cosh(x) +--R + +--R 3 3 4 2 2 3 3 2 +--R (64a b - 40a b)cosh(x) - 32a b cosh(x) + 20a b cosh(x) +--R + +--R 2 2 3 +--R 8a b cosh(x) - 4a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 3 9 +--R (- a b + 2a b)sinh(x) +--R + +--R 3 2 3 2 3 2 3 +--R ((2a b cosh(x) - 2a b )coth(x) - a b cosh(x) + a b )csch(x) +--R + +--R 2 2 2 2 2 2 2 2 4 2 +--R (- 2a b cosh(x) + 2a b )coth(x) + (2a b - 2a )cosh(x) +--R + +--R 3 3 4 2 2 4 +--R (- 8a b + 16a b)cosh(x) - 2b + 2a b + 2a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 3 4 2 3 4 2 +--R (16a b cosh(x) + 4b cosh(x) - 16a b cosh(x) - 4b )coth(x) +--R + +--R 3 3 4 2 3 4 +--R - 8a b cosh(x) - 2b cosh(x) + 8a b cosh(x) + 2b +--R * +--R csch(x) +--R + +--R 2 2 3 3 2 2 2 3 2 +--R (- 16a b cosh(x) - 4a b cosh(x) + 16a b cosh(x) + 4a b )coth(x) +--R + +--R 2 2 4 3 3 3 2 +--R (16a b - 16a )cosh(x) + (- 24a b + 52a b)cosh(x) +--R + +--R 4 2 2 4 3 +--R (- 14b + 12a b + 16a )cosh(x) - 4a b +--R * +--R 7 +--R sinh(x) +--R + +--R 3 4 4 3 3 2 4 +--R 56a b cosh(x) + 28b cosh(x) - 64a b cosh(x) - 28b cosh(x) +--R + +--R 3 +--R 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 4 4 3 3 2 4 +--R - 28a b cosh(x) - 14b cosh(x) + 32a b cosh(x) + 14b cosh(x) +--R + +--R 3 +--R - 4a b +--R * +--R csch(x) +--R + +--R 2 2 4 3 3 2 2 2 +--R - 56a b cosh(x) - 28a b cosh(x) + 64a b cosh(x) +--R + +--R 3 2 2 +--R 28a b cosh(x) - 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 4 3 3 3 +--R (56a b - 56a )cosh(x) + (- 28a b + 84a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (- 42b + 20a b + 64a )cosh(x) + (- 4a b - 20a b)cosh(x) + 6b +--R + +--R 2 2 4 +--R - 4a b - 8a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 5 4 4 3 3 +--R 112a b cosh(x) + 84b cosh(x) - 160a b cosh(x) +--R + +--R 4 2 3 4 +--R - 96b cosh(x) + 48a b cosh(x) + 12b +--R * +--R 2 +--R coth(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R - 56a b cosh(x) - 42b cosh(x) + 80a b cosh(x) + 48b cosh(x) +--R + +--R 3 4 +--R - 24a b cosh(x) - 6b +--R * +--R csch(x) +--R + +--R 2 2 5 3 4 2 2 3 +--R - 112a b cosh(x) - 84a b cosh(x) + 160a b cosh(x) +--R + +--R 3 2 2 2 3 +--R 96a b cosh(x) - 48a b cosh(x) - 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 5 3 3 4 +--R (112a b - 112a )cosh(x) + (14a b + 56a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (- 70b - 20a b + 160a )cosh(x) + (- 36a b - 24a b)cosh(x) +--R + +--R 4 2 2 4 3 +--R (30b - 12a b - 48a )cosh(x) + 6a b +--R * +--R 5 +--R sinh(x) +--R + +--R 3 6 4 5 3 4 +--R 140a b cosh(x) + 140b cosh(x) - 260a b cosh(x) +--R + +--R 4 3 3 2 4 3 +--R - 200b cosh(x) + 132a b cosh(x) + 60b cosh(x) - 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R - 70a b cosh(x) - 70b cosh(x) + 130a b cosh(x) + 100b cosh(x) +--R + +--R 3 2 4 3 +--R - 66a b cosh(x) - 30b cosh(x) + 6a b +--R * +--R csch(x) +--R + +--R 2 2 6 3 5 2 2 4 +--R - 140a b cosh(x) - 140a b cosh(x) + 260a b cosh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R 200a b cosh(x) - 132a b cosh(x) - 60a b cosh(x) + 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 6 3 3 5 +--R (140a b - 140a )cosh(x) + (84a b - 28a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (- 70b - 120a b + 260a )cosh(x) + (- 120a b + 40a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 4 +--R (28b + 12a b - 132a )cosh(x) + (36a b - 12a b)cosh(x) + 26b + 12a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 7 4 6 3 5 +--R 112a b cosh(x) + 140b cosh(x) - 272a b cosh(x) +--R + +--R 4 4 3 3 4 2 +--R - 260b cosh(x) + 208a b cosh(x) + 132b cosh(x) +--R + +--R 3 4 +--R - 48a b cosh(x) - 12b +--R * +--R 2 +--R coth(x) +--R + +--R 3 7 4 6 3 5 4 4 +--R - 56a b cosh(x) - 70b cosh(x) + 136a b cosh(x) + 130b cosh(x) +--R + +--R 3 3 4 2 3 4 +--R - 104a b cosh(x) - 66b cosh(x) + 24a b cosh(x) + 6b +--R * +--R csch(x) +--R + +--R 2 2 7 3 6 2 2 5 +--R - 112a b cosh(x) - 140a b cosh(x) + 272a b cosh(x) +--R + +--R 3 4 2 2 3 3 2 +--R 260a b cosh(x) - 208a b cosh(x) - 132a b cosh(x) +--R + +--R 2 2 3 +--R 48a b cosh(x) + 12a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 7 3 3 6 +--R (112a b - 112a )cosh(x) + (112a b - 84a b)cosh(x) +--R + +--R 4 2 2 4 5 3 3 4 +--R (- 42b - 188a b + 272a )cosh(x) + (- 200a b + 140a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (- 68b + 88a b - 208a )cosh(x) + (96a b - 60a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (110b - 12a b + 48a )cosh(x) - 8a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 8 4 7 3 6 +--R 56a b cosh(x) + 84b cosh(x) - 176a b cosh(x) +--R + +--R 4 5 3 4 4 3 +--R - 204b cosh(x) + 192a b cosh(x) + 156b cosh(x) +--R + +--R 3 2 4 3 +--R - 80a b cosh(x) - 36b cosh(x) + 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 8 4 7 3 6 4 5 +--R - 28a b cosh(x) - 42b cosh(x) + 88a b cosh(x) + 102b cosh(x) +--R + +--R 3 4 4 3 3 2 4 +--R - 96a b cosh(x) - 78b cosh(x) + 40a b cosh(x) + 18b cosh(x) +--R + +--R 3 +--R - 4a b +--R * +--R csch(x) +--R + +--R 2 2 8 3 7 2 2 6 +--R - 56a b cosh(x) - 84a b cosh(x) + 176a b cosh(x) +--R + +--R 3 5 2 2 4 3 3 +--R 204a b cosh(x) - 192a b cosh(x) - 156a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R 80a b cosh(x) + 36a b cosh(x) - 8a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 8 3 3 7 +--R (56a b - 56a )cosh(x) + (76a b - 68a b)cosh(x) +--R + +--R 4 2 2 4 6 3 3 5 +--R (- 14b - 148a b + 176a )cosh(x) + (- 180a b + 156a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (- 162b + 132a b - 192a )cosh(x) + (132a b - 108a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (174b - 44a b + 80a )cosh(x) + (- 28a b + 20a b)cosh(x) + 2b +--R + +--R 2 2 4 +--R 4a b - 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 9 4 8 3 7 4 6 +--R 16a b cosh(x) + 28b cosh(x) - 64a b cosh(x) - 88b cosh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R 96a b cosh(x) + 96b cosh(x) - 64a b cosh(x) - 40b cosh(x) +--R + +--R 3 4 +--R 16a b cosh(x) + 4b +--R * +--R 2 +--R coth(x) +--R + +--R 3 9 4 8 3 7 4 6 +--R - 8a b cosh(x) - 14b cosh(x) + 32a b cosh(x) + 44b cosh(x) +--R + +--R 3 5 4 4 3 3 4 2 +--R - 48a b cosh(x) - 48b cosh(x) + 32a b cosh(x) + 20b cosh(x) +--R + +--R 3 4 +--R - 8a b cosh(x) - 2b +--R * +--R csch(x) +--R + +--R 2 2 9 3 8 2 2 7 +--R - 16a b cosh(x) - 28a b cosh(x) + 64a b cosh(x) +--R + +--R 3 6 2 2 5 3 4 2 2 3 +--R 88a b cosh(x) - 96a b cosh(x) - 96a b cosh(x) + 64a b cosh(x) +--R + +--R 3 2 2 2 3 +--R 40a b cosh(x) - 16a b cosh(x) - 4a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 9 3 3 8 +--R (16a b - 16a )cosh(x) + (27a b - 26a b)cosh(x) +--R + +--R 4 2 2 4 7 3 3 6 +--R (- 2b - 60a b + 64a )cosh(x) + (- 84a b + 80a b)cosh(x) +--R + +--R 4 2 2 4 5 3 3 4 +--R (- 122b + 84a b - 96a )cosh(x) + (90a b - 84a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (122b - 52a b + 64a )cosh(x) + (- 36a b + 32a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (2b + 12a b - 16a )cosh(x) + 3a b - 2a b +--R * +--R sinh(x) +--R + +--R 3 10 4 9 3 8 4 7 +--R 2a b cosh(x) + 4b cosh(x) - 10a b cosh(x) - 16b cosh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R 20a b cosh(x) + 24b cosh(x) - 20a b cosh(x) - 16b cosh(x) +--R + +--R 3 2 4 3 +--R 10a b cosh(x) + 4b cosh(x) - 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 3 10 4 9 3 8 4 7 +--R - a b cosh(x) - 2b cosh(x) + 5a b cosh(x) + 8b cosh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R - 10a b cosh(x) - 12b cosh(x) + 10a b cosh(x) + 8b cosh(x) +--R + +--R 3 2 4 3 +--R - 5a b cosh(x) - 2b cosh(x) + a b +--R * +--R csch(x) +--R + +--R 2 2 10 3 9 2 2 8 3 7 +--R - 2a b cosh(x) - 4a b cosh(x) + 10a b cosh(x) + 16a b cosh(x) +--R + +--R 2 2 6 3 5 2 2 4 3 3 +--R - 20a b cosh(x) - 24a b cosh(x) + 20a b cosh(x) + 16a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R - 10a b cosh(x) - 4a b cosh(x) + 2a b +--R * +--R 2 +--R coth(x) +--R + +--R 2 2 4 10 3 3 9 +--R (2a b - 2a )cosh(x) + (4a b - 4a b)cosh(x) +--R + +--R 2 2 4 8 3 3 7 +--R (- 10a b + 10a )cosh(x) + (- 16a b + 16a b)cosh(x) +--R + +--R 4 2 2 4 6 3 3 5 +--R (- 32b + 20a b - 20a )cosh(x) + (24a b - 24a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (32b - 20a b + 20a )cosh(x) + (- 16a b + 16a b)cosh(x) +--R + +--R 2 2 4 2 3 3 2 2 4 +--R (10a b - 10a )cosh(x) + (4a b - 4a b)cosh(x) - 2a b + 2a +--R / +--R 4 2 4 8 +--R (2a b cosh(x) - 2a b )sinh(x) +--R + +--R 4 3 5 2 4 5 7 +--R (16a b cosh(x) + 4b cosh(x) - 16a b cosh(x) - 4b )sinh(x) +--R + +--R 4 4 5 3 4 2 5 +--R 56a b cosh(x) + 28b cosh(x) - 64a b cosh(x) - 28b cosh(x) +--R + +--R 4 +--R 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 5 5 4 4 3 5 2 +--R 112a b cosh(x) + 84b cosh(x) - 160a b cosh(x) - 96b cosh(x) +--R + +--R 4 5 +--R 48a b cosh(x) + 12b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 6 5 5 4 4 5 3 +--R 140a b cosh(x) + 140b cosh(x) - 260a b cosh(x) - 200b cosh(x) +--R + +--R 4 2 5 4 +--R 132a b cosh(x) + 60b cosh(x) - 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 7 5 6 4 5 5 4 +--R 112a b cosh(x) + 140b cosh(x) - 272a b cosh(x) - 260b cosh(x) +--R + +--R 4 3 5 2 4 5 +--R 208a b cosh(x) + 132b cosh(x) - 48a b cosh(x) - 12b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 8 5 7 4 6 5 5 +--R 56a b cosh(x) + 84b cosh(x) - 176a b cosh(x) - 204b cosh(x) +--R + +--R 4 4 5 3 4 2 5 +--R 192a b cosh(x) + 156b cosh(x) - 80a b cosh(x) - 36b cosh(x) +--R + +--R 4 +--R 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 9 5 8 4 7 5 6 +--R 16a b cosh(x) + 28b cosh(x) - 64a b cosh(x) - 88b cosh(x) +--R + +--R 4 5 5 4 4 3 5 2 +--R 96a b cosh(x) + 96b cosh(x) - 64a b cosh(x) - 40b cosh(x) +--R + +--R 4 5 +--R 16a b cosh(x) + 4b +--R * +--R sinh(x) +--R + +--R 4 10 5 9 4 8 5 7 +--R 2a b cosh(x) + 4b cosh(x) - 10a b cosh(x) - 16b cosh(x) +--R + +--R 4 6 5 5 4 4 5 3 +--R 20a b cosh(x) + 24b cosh(x) - 20a b cosh(x) - 16b cosh(x) +--R + +--R 4 2 5 4 +--R 10a b cosh(x) + 4b cosh(x) - 2a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 3 2 2 3 8 +--R (- 4a b cosh(x) + 4a b )sinh(x) +--R + +--R 2 3 3 4 2 2 3 4 7 +--R (- 32a b cosh(x) - 8a b cosh(x) + 32a b cosh(x) + 8a b )sinh(x) +--R + +--R 2 3 4 4 3 2 3 2 +--R - 112a b cosh(x) - 56a b cosh(x) + 128a b cosh(x) +--R + +--R 4 2 3 +--R 56a b cosh(x) - 16a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 3 5 4 4 2 3 3 +--R - 224a b cosh(x) - 168a b cosh(x) + 320a b cosh(x) +--R + +--R 4 2 2 3 4 +--R 192a b cosh(x) - 96a b cosh(x) - 24a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 3 6 4 5 2 3 4 +--R - 280a b cosh(x) - 280a b cosh(x) + 520a b cosh(x) +--R + +--R 4 3 2 3 2 4 2 3 +--R 400a b cosh(x) - 264a b cosh(x) - 120a b cosh(x) + 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 7 4 6 2 3 5 +--R - 224a b cosh(x) - 280a b cosh(x) + 544a b cosh(x) +--R + +--R 4 4 2 3 3 4 2 +--R 520a b cosh(x) - 416a b cosh(x) - 264a b cosh(x) +--R + +--R 2 3 4 +--R 96a b cosh(x) + 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 8 4 7 2 3 6 +--R - 112a b cosh(x) - 168a b cosh(x) + 352a b cosh(x) +--R + +--R 4 5 2 3 4 4 3 +--R 408a b cosh(x) - 384a b cosh(x) - 312a b cosh(x) +--R + +--R 2 3 2 4 2 3 +--R 160a b cosh(x) + 72a b cosh(x) - 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 9 4 8 2 3 7 +--R - 32a b cosh(x) - 56a b cosh(x) + 128a b cosh(x) +--R + +--R 4 6 2 3 5 4 4 +--R 176a b cosh(x) - 192a b cosh(x) - 192a b cosh(x) +--R + +--R 2 3 3 4 2 2 3 4 +--R 128a b cosh(x) + 80a b cosh(x) - 32a b cosh(x) - 8a b +--R * +--R sinh(x) +--R + +--R 2 3 10 4 9 2 3 8 4 7 +--R - 4a b cosh(x) - 8a b cosh(x) + 20a b cosh(x) + 32a b cosh(x) +--R + +--R 2 3 6 4 5 2 3 4 4 3 +--R - 40a b cosh(x) - 48a b cosh(x) + 40a b cosh(x) + 32a b cosh(x) +--R + +--R 2 3 2 4 2 3 +--R - 20a b cosh(x) - 8a b cosh(x) + 4a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 4 2 4 8 +--R (- 2a b cosh(x) + 2a b )sinh(x) +--R + +--R 4 3 5 2 4 5 7 +--R (- 16a b cosh(x) - 4b cosh(x) + 16a b cosh(x) + 4b )sinh(x) +--R + +--R 4 4 5 3 4 2 5 +--R - 56a b cosh(x) - 28b cosh(x) + 64a b cosh(x) + 28b cosh(x) +--R + +--R 4 +--R - 8a b +--R * +--R 6 +--R sinh(x) +--R + +--R 4 5 5 4 4 3 5 2 +--R - 112a b cosh(x) - 84b cosh(x) + 160a b cosh(x) + 96b cosh(x) +--R + +--R 4 5 +--R - 48a b cosh(x) - 12b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 6 5 5 4 4 5 3 +--R - 140a b cosh(x) - 140b cosh(x) + 260a b cosh(x) + 200b cosh(x) +--R + +--R 4 2 5 4 +--R - 132a b cosh(x) - 60b cosh(x) + 12a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 7 5 6 4 5 5 4 +--R - 112a b cosh(x) - 140b cosh(x) + 272a b cosh(x) + 260b cosh(x) +--R + +--R 4 3 5 2 4 5 +--R - 208a b cosh(x) - 132b cosh(x) + 48a b cosh(x) + 12b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 8 5 7 4 6 5 5 +--R - 56a b cosh(x) - 84b cosh(x) + 176a b cosh(x) + 204b cosh(x) +--R + +--R 4 4 5 3 4 2 5 +--R - 192a b cosh(x) - 156b cosh(x) + 80a b cosh(x) + 36b cosh(x) +--R + +--R 4 +--R - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 9 5 8 4 7 5 6 +--R - 16a b cosh(x) - 28b cosh(x) + 64a b cosh(x) + 88b cosh(x) +--R + +--R 4 5 5 4 4 3 5 2 +--R - 96a b cosh(x) - 96b cosh(x) + 64a b cosh(x) + 40b cosh(x) +--R + +--R 4 5 +--R - 16a b cosh(x) - 4b +--R * +--R sinh(x) +--R + +--R 4 10 5 9 4 8 5 7 +--R - 2a b cosh(x) - 4b cosh(x) + 10a b cosh(x) + 16b cosh(x) +--R + +--R 4 6 5 5 4 4 5 3 +--R - 20a b cosh(x) - 24b cosh(x) + 20a b cosh(x) + 16b cosh(x) +--R + +--R 4 2 5 4 +--R - 10a b cosh(x) - 4b cosh(x) + 2a b +--R Type: Expression Integer +--E 20 + +--S 21 of 552 +t0704:= csch(x)^3/(%i+csch(x)) +--R +--R +--R 3 +--R csch(x) +--R (21) ------------ +--R csch(x) + %i +--R Type: Expression Complex Integer +--E 21 + +--S 22 of 552 +r0704:= %i*acoth(cosh(x))-coth(x)-%i*cosh(x)/(1+%i*sinh(x)) +--R +--R +--R (22) +--R (%i sinh(x) + 1)acoth(cosh(x)) - coth(x)sinh(x) + %i coth(x) - cosh(x) +--R ---------------------------------------------------------------------- +--R sinh(x) - %i +--R Type: Expression Complex Integer +--E 22 + +--S 23 of 552 +a0704:= integrate(t0704,x) +--R +--R +--R (23) +--R 3 2 +--R %i sinh(x) + (3%i cosh(x) + 1)sinh(x) +--R + +--R 2 3 2 +--R (3%i cosh(x) + 2cosh(x) - %i)sinh(x) + %i cosh(x) + cosh(x) +--R + +--R - %i cosh(x) - 1 +--R * +--R sinh(x) + cosh(x) + 1 +--R log(---------------------) +--R sinh(x) + cosh(x) - 1 +--R + +--R 2 2 +--R - 2%i sinh(x) + (- 4%i cosh(x) - 2)sinh(x) - 2%i cosh(x) - 2cosh(x) + 4%i +--R / +--R 3 2 2 +--R sinh(x) + (3cosh(x) - %i)sinh(x) + (3cosh(x) - 2%i cosh(x) - 1)sinh(x) +--R + +--R 3 2 +--R cosh(x) - %i cosh(x) - cosh(x) + %i +--R Type: Union(Expression Complex Integer,...) +--E 23 + +--S 24 of 552 +m0704:= a0704-r0704 +--R +--R +--R (24) +--R 4 3 +--R %i sinh(x) + (3%i cosh(x) + 2)sinh(x) +--R + +--R 2 2 +--R (3%i cosh(x) + 5cosh(x) - 2%i)sinh(x) +--R + +--R 3 2 3 +--R (%i cosh(x) + 4cosh(x) - 3%i cosh(x) - 2)sinh(x) + cosh(x) +--R + +--R 2 +--R - %i cosh(x) - cosh(x) + %i +--R * +--R sinh(x) + cosh(x) + 1 +--R log(---------------------) +--R sinh(x) + cosh(x) - 1 +--R + +--R 4 3 +--R - %i sinh(x) + (- 3%i cosh(x) - 2)sinh(x) +--R + +--R 2 2 +--R (- 3%i cosh(x) - 5cosh(x) + 2%i)sinh(x) +--R + +--R 3 2 3 +--R (- %i cosh(x) - 4cosh(x) + 3%i cosh(x) + 2)sinh(x) - cosh(x) +--R + +--R 2 +--R %i cosh(x) + cosh(x) - %i +--R * +--R acoth(cosh(x)) +--R + +--R 4 3 +--R coth(x)sinh(x) + ((3cosh(x) - 2%i)coth(x) + cosh(x) - 2%i)sinh(x) +--R + +--R 2 2 +--R ((3cosh(x) - 5%i cosh(x) - 2)coth(x) + 3cosh(x) - 5%i cosh(x) - 4) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 3 +--R (cosh(x) - 4%i cosh(x) - 3cosh(x) + 2%i)coth(x) + 3cosh(x) +--R + +--R 2 +--R - 4%i cosh(x) - 7cosh(x) + 6%i +--R * +--R sinh(x) +--R + +--R 3 2 4 +--R (- %i cosh(x) - cosh(x) + %i cosh(x) + 1)coth(x) + cosh(x) +--R + +--R 3 2 +--R - %i cosh(x) - 3cosh(x) + 3%i cosh(x) + 4 +--R / +--R 4 3 +--R sinh(x) + (3cosh(x) - 2%i)sinh(x) +--R + +--R 2 2 +--R (3cosh(x) - 5%i cosh(x) - 2)sinh(x) +--R + +--R 3 2 3 +--R (cosh(x) - 4%i cosh(x) - 3cosh(x) + 2%i)sinh(x) - %i cosh(x) +--R + +--R 2 +--R - cosh(x) + %i cosh(x) + 1 +--R Type: Expression Complex Integer +--E 24 + +--S 25 of 552 +d0704:= D(m0704,x) +--R +--R +--R (25) +--R 9 +--R %i sinh(x) +--R + +--R 2 2 2 8 +--R ((- cosh(x) + 1)coth(x) + 2cosh(x) + 6%i cosh(x) + 2)sinh(x) +--R + +--R 3 2 2 3 +--R (- 6cosh(x) + 4%i cosh(x) + 6cosh(x) - 4%i)coth(x) + 12cosh(x) +--R + +--R 2 +--R 8%i cosh(x) + 10cosh(x) - %i +--R * +--R 7 +--R sinh(x) +--R + +--R 4 3 2 +--R (- 15cosh(x) + 22%i cosh(x) + 23cosh(x) - 22%i cosh(x) - 8) +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 +--R 29cosh(x) - 18%i cosh(x) + 8cosh(x) + 1 +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 20cosh(x) + 50%i cosh(x) + 58cosh(x) - 62%i cosh(x) +--R + +--R - 38cosh(x) + 12%i +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 3 2 +--R 34cosh(x) - 68%i cosh(x) - 34cosh(x) + 21%i cosh(x) + 14cosh(x) +--R + +--R 3%i +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 15cosh(x) + 60%i cosh(x) + 88cosh(x) - 106%i cosh(x) +--R + +--R 2 +--R - 87cosh(x) + 46%i cosh(x) + 14 +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 4 3 2 +--R 15cosh(x) - 84%i cosh(x) - 83cosh(x) + 64%i cosh(x) + 45cosh(x) +--R + +--R - 4%i cosh(x) + 7 +--R * +--R 4 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 6cosh(x) + 40%i cosh(x) + 78cosh(x) - 108%i cosh(x) +--R + +--R 3 2 +--R - 114cosh(x) + 80%i cosh(x) + 42cosh(x) - 12%i +--R * +--R 2 +--R coth(x) +--R + +--R 7 6 5 4 3 +--R - 8cosh(x) - 44%i cosh(x) - 70cosh(x) + 77%i cosh(x) + 56cosh(x) +--R + +--R 2 +--R - 34%i cosh(x) + 14cosh(x) + %i +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - cosh(x) + 14%i cosh(x) + 39cosh(x) - 62%i cosh(x) +--R + +--R 4 3 2 +--R - 83cosh(x) + 74%i cosh(x) + 53cosh(x) - 26%i cosh(x) - 8 +--R * +--R 2 +--R coth(x) +--R + +--R 8 7 6 5 4 +--R - 13cosh(x) - 2%i cosh(x) - 18cosh(x) + 36%i cosh(x) + 26cosh(x) +--R + +--R 3 2 +--R - 34%i cosh(x) - 2cosh(x) + 7 +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 2%i cosh(x) + 10cosh(x) - 18%i cosh(x) - 30cosh(x) +--R + +--R 4 3 2 +--R 34%i cosh(x) + 30cosh(x) - 22%i cosh(x) - 10cosh(x) + 4%i +--R * +--R 2 +--R coth(x) +--R + +--R 9 8 7 6 4 +--R - 6cosh(x) + 7%i cosh(x) + 6cosh(x) - %i cosh(x) + %i cosh(x) +--R + +--R 3 2 +--R - 10cosh(x) - 3%i cosh(x) + 10cosh(x) - 4%i +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R cosh(x) - 2%i cosh(x) - 4cosh(x) + 6%i cosh(x) + 6cosh(x) +--R + +--R 3 2 +--R - 6%i cosh(x) - 4cosh(x) + 2%i cosh(x) + 1 +--R * +--R 2 +--R coth(x) +--R + +--R 10 9 8 7 6 +--R - cosh(x) + 2%i cosh(x) + 3cosh(x) - 4%i cosh(x) - 2cosh(x) +--R + +--R 5 4 3 2 +--R 8%i cosh(x) - 2cosh(x) - 4%i cosh(x) + 3cosh(x) - 2%i cosh(x) - 1 +--R / +--R 2 8 +--R (cosh(x) - 1)sinh(x) +--R + +--R 3 2 7 +--R (6cosh(x) - 4%i cosh(x) - 6cosh(x) + 4%i)sinh(x) +--R + +--R 4 3 2 6 +--R (15cosh(x) - 22%i cosh(x) - 23cosh(x) + 22%i cosh(x) + 8)sinh(x) +--R + +--R 5 4 3 2 +--R 20cosh(x) - 50%i cosh(x) - 58cosh(x) + 62%i cosh(x) + 38cosh(x) +--R + +--R - 12%i +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 15cosh(x) - 60%i cosh(x) - 88cosh(x) + 106%i cosh(x) + 87cosh(x) +--R + +--R - 46%i cosh(x) - 14 +--R * +--R 4 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 6cosh(x) - 40%i cosh(x) - 78cosh(x) + 108%i cosh(x) + 114cosh(x) +--R + +--R 2 +--R - 80%i cosh(x) - 42cosh(x) + 12%i +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R cosh(x) - 14%i cosh(x) - 39cosh(x) + 62%i cosh(x) + 83cosh(x) +--R + +--R 3 2 +--R - 74%i cosh(x) - 53cosh(x) + 26%i cosh(x) + 8 +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 2%i cosh(x) - 10cosh(x) + 18%i cosh(x) + 30cosh(x) +--R + +--R 4 3 2 +--R - 34%i cosh(x) - 30cosh(x) + 22%i cosh(x) + 10cosh(x) - 4%i +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - cosh(x) + 2%i cosh(x) + 4cosh(x) - 6%i cosh(x) - 6cosh(x) +--R + +--R 3 2 +--R 6%i cosh(x) + 4cosh(x) - 2%i cosh(x) - 1 +--R Type: Expression Complex Integer +--E 25 + +--S 26 of 552 +t0705:= csch(x)^4/(%i+csch(x)) +--R +--R +--R 4 +--R csch(x) +--R (26) ------------ +--R csch(x) + %i +--R Type: Expression Complex Integer +--E 26 + +--S 27 of 552 +r0705:= 3/2*acoth(cosh(x))+%i*coth(x)-1/2*coth(x)*csch(x)-_ + cosh(x)/(1+%i*sinh(x)) +--R +--R +--R (27) +--R (3sinh(x) - 3%i)acoth(cosh(x)) + (- coth(x)csch(x) + 2%i coth(x))sinh(x) +--R + +--R %i coth(x)csch(x) + 2coth(x) + 2%i cosh(x) +--R / +--R 2sinh(x) - 2%i +--R Type: Expression Complex Integer +--E 27 + +--S 28 of 552 +a0705:= integrate(t0705,x) +--R +--R +--R (28) +--R 5 4 +--R 3sinh(x) + (15cosh(x) - 3%i)sinh(x) +--R + +--R 2 3 +--R (30cosh(x) - 12%i cosh(x) - 6)sinh(x) +--R + +--R 3 2 2 +--R (30cosh(x) - 18%i cosh(x) - 18cosh(x) + 6%i)sinh(x) +--R + +--R 4 3 2 +--R (15cosh(x) - 12%i cosh(x) - 18cosh(x) + 12%i cosh(x) + 3)sinh(x) +--R + +--R 5 4 3 2 +--R 3cosh(x) - 3%i cosh(x) - 6cosh(x) + 6%i cosh(x) + 3cosh(x) - 3%i +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 5 4 +--R - 3sinh(x) + (- 15cosh(x) + 3%i)sinh(x) +--R + +--R 2 3 +--R (- 30cosh(x) + 12%i cosh(x) + 6)sinh(x) +--R + +--R 3 2 2 +--R (- 30cosh(x) + 18%i cosh(x) + 18cosh(x) - 6%i)sinh(x) +--R + +--R 4 3 2 +--R (- 15cosh(x) + 12%i cosh(x) + 18cosh(x) - 12%i cosh(x) - 3)sinh(x) +--R + +--R 5 4 3 2 +--R - 3cosh(x) + 3%i cosh(x) + 6cosh(x) - 6%i cosh(x) - 3cosh(x) + 3%i +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 4 3 +--R - 6sinh(x) + (- 24cosh(x) + 6%i)sinh(x) +--R + +--R 2 2 +--R (- 36cosh(x) + 18%i cosh(x) + 10)sinh(x) +--R + +--R 3 2 4 +--R (- 24cosh(x) + 18%i cosh(x) + 20cosh(x) - 2%i)sinh(x) - 6cosh(x) +--R + +--R 3 2 +--R 6%i cosh(x) + 10cosh(x) - 2%i cosh(x) - 8 +--R / +--R 5 4 +--R 2sinh(x) + (10cosh(x) - 2%i)sinh(x) +--R + +--R 2 3 +--R (20cosh(x) - 8%i cosh(x) - 4)sinh(x) +--R + +--R 3 2 2 +--R (20cosh(x) - 12%i cosh(x) - 12cosh(x) + 4%i)sinh(x) +--R + +--R 4 3 2 +--R (10cosh(x) - 8%i cosh(x) - 12cosh(x) + 8%i cosh(x) + 2)sinh(x) +--R + +--R 5 4 3 2 +--R 2cosh(x) - 2%i cosh(x) - 4cosh(x) + 4%i cosh(x) + 2cosh(x) - 2%i +--R Type: Union(Expression Complex Integer,...) +--E 28 + +--S 29 of 552 +m0705:= a0705-r0705 +--R +--R +--R (29) +--R 6 5 +--R 3sinh(x) + (15cosh(x) - 6%i)sinh(x) +--R + +--R 2 4 +--R (30cosh(x) - 27%i cosh(x) - 9)sinh(x) +--R + +--R 3 2 3 +--R (30cosh(x) - 48%i cosh(x) - 30cosh(x) + 12%i)sinh(x) +--R + +--R 4 3 2 2 +--R (15cosh(x) - 42%i cosh(x) - 36cosh(x) + 30%i cosh(x) + 9)sinh(x) +--R + +--R 5 4 3 2 +--R 3cosh(x) - 18%i cosh(x) - 18cosh(x) + 24%i cosh(x) +--R + +--R 15cosh(x) - 6%i +--R * +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 3%i cosh(x) - 3cosh(x) + 6%i cosh(x) + 6cosh(x) - 3%i cosh(x) - 3 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 6 5 +--R - 3sinh(x) + (- 15cosh(x) + 6%i)sinh(x) +--R + +--R 2 4 +--R (- 30cosh(x) + 27%i cosh(x) + 9)sinh(x) +--R + +--R 3 2 3 +--R (- 30cosh(x) + 48%i cosh(x) + 30cosh(x) - 12%i)sinh(x) +--R + +--R 4 3 2 +--R (- 15cosh(x) + 42%i cosh(x) + 36cosh(x) - 30%i cosh(x) - 9) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 3cosh(x) + 18%i cosh(x) + 18cosh(x) - 24%i cosh(x) +--R + +--R - 15cosh(x) + 6%i +--R * +--R sinh(x) +--R + +--R 5 4 3 2 +--R 3%i cosh(x) + 3cosh(x) - 6%i cosh(x) - 6cosh(x) + 3%i cosh(x) + 3 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 6 5 +--R - 3sinh(x) + (- 15cosh(x) + 6%i)sinh(x) +--R + +--R 2 4 +--R (- 30cosh(x) + 27%i cosh(x) + 9)sinh(x) +--R + +--R 3 2 3 +--R (- 30cosh(x) + 48%i cosh(x) + 30cosh(x) - 12%i)sinh(x) +--R + +--R 4 3 2 +--R (- 15cosh(x) + 42%i cosh(x) + 36cosh(x) - 30%i cosh(x) - 9) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 3cosh(x) + 18%i cosh(x) + 18cosh(x) - 24%i cosh(x) +--R + +--R - 15cosh(x) + 6%i +--R * +--R sinh(x) +--R + +--R 5 4 3 2 +--R 3%i cosh(x) + 3cosh(x) - 6%i cosh(x) - 6cosh(x) + 3%i cosh(x) + 3 +--R * +--R acoth(cosh(x)) +--R + +--R 6 +--R (coth(x)csch(x) - 2%i coth(x))sinh(x) +--R + +--R (5cosh(x) - 2%i)coth(x)csch(x) + (- 10%i cosh(x) - 4)coth(x) +--R + +--R - 2%i cosh(x) - 6 +--R * +--R 5 +--R sinh(x) +--R + +--R 2 +--R (10cosh(x) - 9%i cosh(x) - 3)coth(x)csch(x) +--R + +--R 2 2 +--R (- 20%i cosh(x) - 18cosh(x) + 6%i)coth(x) - 10%i cosh(x) +--R + +--R - 26cosh(x) + 12%i +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 +--R (10cosh(x) - 16%i cosh(x) - 10cosh(x) + 4%i)coth(x)csch(x) +--R + +--R 3 2 +--R (- 20%i cosh(x) - 32cosh(x) + 20%i cosh(x) + 8)coth(x) +--R + +--R 3 2 +--R - 20%i cosh(x) - 44cosh(x) + 46%i cosh(x) + 16 +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 +--R (5cosh(x) - 14%i cosh(x) - 12cosh(x) + 10%i cosh(x) + 3)coth(x) +--R * +--R csch(x) +--R + +--R 4 3 2 +--R (- 10%i cosh(x) - 28cosh(x) + 24%i cosh(x) + 20cosh(x) - 6%i) +--R * +--R coth(x) +--R + +--R 4 3 2 +--R - 20%i cosh(x) - 36cosh(x) + 66%i cosh(x) + 42cosh(x) - 12%i +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R cosh(x) - 6%i cosh(x) - 6cosh(x) + 8%i cosh(x) + 5cosh(x) +--R + +--R - 2%i +--R * +--R coth(x)csch(x) +--R + +--R 5 4 3 2 +--R - 2%i cosh(x) - 12cosh(x) + 12%i cosh(x) + 16cosh(x) +--R + +--R - 10%i cosh(x) - 4 +--R * +--R coth(x) +--R + +--R 5 4 3 2 +--R - 10%i cosh(x) - 14cosh(x) + 42%i cosh(x) + 36cosh(x) +--R + +--R - 24%i cosh(x) - 10 +--R * +--R sinh(x) +--R + +--R 5 4 3 2 +--R (- %i cosh(x) - cosh(x) + 2%i cosh(x) + 2cosh(x) - %i cosh(x) - 1) +--R * +--R coth(x)csch(x) +--R + +--R 5 4 3 2 +--R - 2cosh(x) + 2%i cosh(x) + 4cosh(x) - 4%i cosh(x) - 2cosh(x) +--R + +--R 2%i +--R * +--R coth(x) +--R + +--R 6 5 4 3 2 +--R - 2%i cosh(x) - 2cosh(x) + 10%i cosh(x) + 10cosh(x) - 12%i cosh(x) +--R + +--R - 4cosh(x) + 8%i +--R / +--R 6 5 +--R 2sinh(x) + (10cosh(x) - 4%i)sinh(x) +--R + +--R 2 4 +--R (20cosh(x) - 18%i cosh(x) - 6)sinh(x) +--R + +--R 3 2 3 +--R (20cosh(x) - 32%i cosh(x) - 20cosh(x) + 8%i)sinh(x) +--R + +--R 4 3 2 2 +--R (10cosh(x) - 28%i cosh(x) - 24cosh(x) + 20%i cosh(x) + 6)sinh(x) +--R + +--R 5 4 3 2 +--R 2cosh(x) - 12%i cosh(x) - 12cosh(x) + 16%i cosh(x) + 10cosh(x) +--R + +--R - 4%i +--R * +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 2%i cosh(x) - 2cosh(x) + 4%i cosh(x) + 4cosh(x) - 2%i cosh(x) - 2 +--R Type: Expression Complex Integer +--E 29 + +--S 30 of 552 +d0705:= D(m0705,x) +--R +--R +--R (30) +--R 11 +--R 3sinh(x) +--R + +--R 2 2 2 +--R ((- 2cosh(x) + 2)coth(x) + cosh(x) - 1)csch(x) +--R + +--R 2 2 2 +--R (2%i cosh(x) - 2%i)coth(x) - 4%i cosh(x) + 24cosh(x) - 8%i +--R * +--R 10 +--R sinh(x) +--R + +--R 3 2 2 +--R (- 16cosh(x) + 8%i cosh(x) + 16cosh(x) - 8%i)coth(x) +--R + +--R 3 2 +--R 8cosh(x) - 4%i cosh(x) - 8cosh(x) + 4%i +--R * +--R csch(x) +--R + +--R 3 2 2 +--R (16%i cosh(x) + 8cosh(x) - 16%i cosh(x) - 8)coth(x) +--R + +--R 3 2 +--R - 32%i cosh(x) + 70cosh(x) - 58%i cosh(x) - 13 +--R * +--R 9 +--R sinh(x) +--R + +--R 4 3 2 +--R (- 56cosh(x) + 60%i cosh(x) + 74cosh(x) - 60%i cosh(x) - 18) +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 +--R 28cosh(x) - 30%i cosh(x) - 37cosh(x) + 30%i cosh(x) + 9 +--R * +--R csch(x) +--R + +--R 4 3 2 +--R (56%i cosh(x) + 60cosh(x) - 74%i cosh(x) - 60cosh(x) + 18%i) +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 +--R - 110%i cosh(x) + 64cosh(x) - 154%i cosh(x) - 76cosh(x) + 18%i +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 112cosh(x) + 196%i cosh(x) + 232cosh(x) - 228%i cosh(x) +--R + +--R - 120cosh(x) + 32%i +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 3 2 +--R 56cosh(x) - 98%i cosh(x) - 116cosh(x) + 114%i cosh(x) +--R + +--R 60cosh(x) - 16%i +--R * +--R csch(x) +--R + +--R 5 4 3 2 +--R 112%i cosh(x) + 196cosh(x) - 232%i cosh(x) - 228cosh(x) +--R + +--R 120%i cosh(x) + 32 +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 3 2 +--R - 208%i cosh(x) - 122cosh(x) - 142%i cosh(x) - 132cosh(x) +--R + +--R 80%i cosh(x) + 14 +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 140cosh(x) + 364%i cosh(x) + 484cosh(x) - 548%i cosh(x) +--R + +--R 2 +--R - 388cosh(x) + 184%i cosh(x) + 44 +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 4 3 +--R 70cosh(x) - 182%i cosh(x) - 242cosh(x) + 274%i cosh(x) +--R + +--R 2 +--R 194cosh(x) - 92%i cosh(x) - 22 +--R * +--R csch(x) +--R + +--R 6 5 4 3 +--R 140%i cosh(x) + 364cosh(x) - 484%i cosh(x) - 548cosh(x) +--R + +--R 2 +--R 388%i cosh(x) + 184cosh(x) - 44%i +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 4 3 +--R - 224%i cosh(x) - 420cosh(x) + 134%i cosh(x) + 52cosh(x) +--R + +--R 2 +--R 26%i cosh(x) + 32cosh(x) + 28%i +--R * +--R 6 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 112cosh(x) + 420%i cosh(x) + 664cosh(x) - 864%i cosh(x) +--R + +--R 3 2 +--R - 768cosh(x) + 492%i cosh(x) + 216cosh(x) - 48%i +--R * +--R 2 +--R coth(x) +--R + +--R 7 6 5 4 +--R 56cosh(x) - 210%i cosh(x) - 332cosh(x) + 432%i cosh(x) +--R + +--R 3 2 +--R 384cosh(x) - 246%i cosh(x) - 108cosh(x) + 24%i +--R * +--R csch(x) +--R + +--R 7 6 5 4 +--R 112%i cosh(x) + 420cosh(x) - 664%i cosh(x) - 864cosh(x) +--R + +--R 3 2 +--R 768%i cosh(x) + 492cosh(x) - 216%i cosh(x) - 48 +--R * +--R 2 +--R coth(x) +--R + +--R 7 6 5 4 +--R - 112%i cosh(x) - 532cosh(x) + 454%i cosh(x) + 478cosh(x) +--R + +--R 3 2 +--R - 386%i cosh(x) - 160cosh(x) + 164%i cosh(x) + 70 +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 56cosh(x) + 308%i cosh(x) + 596cosh(x) - 888%i cosh(x) +--R + +--R 4 3 2 +--R - 972cosh(x) + 772%i cosh(x) + 476cosh(x) - 192%i cosh(x) +--R + +--R - 44 +--R * +--R 2 +--R coth(x) +--R + +--R 8 7 6 5 +--R 28cosh(x) - 154%i cosh(x) - 298cosh(x) + 444%i cosh(x) +--R + +--R 4 3 2 +--R 486cosh(x) - 386%i cosh(x) - 238cosh(x) + 96%i cosh(x) + 22 +--R * +--R csch(x) +--R + +--R 8 7 6 5 +--R 56%i cosh(x) + 308cosh(x) - 596%i cosh(x) - 888cosh(x) +--R + +--R 4 3 2 +--R 972%i cosh(x) + 772cosh(x) - 476%i cosh(x) - 192cosh(x) + 44%i +--R * +--R 2 +--R coth(x) +--R + +--R 8 7 6 5 +--R 28%i cosh(x) - 340cosh(x) + 442%i cosh(x) + 672cosh(x) +--R + +--R 4 3 2 +--R - 824%i cosh(x) - 660cosh(x) + 450%i cosh(x) + 328cosh(x) - 48%i +--R * +--R 4 +--R sinh(x) +--R + +--R 9 8 7 6 +--R - 16cosh(x) + 140%i cosh(x) + 344cosh(x) - 580%i cosh(x) +--R + +--R 5 4 3 2 +--R - 776cosh(x) + 740%i cosh(x) + 584cosh(x) - 332%i cosh(x) +--R + +--R - 136cosh(x) + 32%i +--R * +--R 2 +--R coth(x) +--R + +--R 9 8 7 6 +--R 8cosh(x) - 70%i cosh(x) - 172cosh(x) + 290%i cosh(x) +--R + +--R 5 4 3 2 +--R 388cosh(x) - 370%i cosh(x) - 292cosh(x) + 166%i cosh(x) +--R + +--R 68cosh(x) - 16%i +--R * +--R csch(x) +--R + +--R 9 8 7 6 +--R 16%i cosh(x) + 140cosh(x) - 344%i cosh(x) - 580cosh(x) +--R + +--R 5 4 3 2 +--R 776%i cosh(x) + 740cosh(x) - 584%i cosh(x) - 332cosh(x) +--R + +--R 136%i cosh(x) + 32 +--R * +--R 2 +--R coth(x) +--R + +--R 9 8 7 6 +--R 80%i cosh(x) - 81cosh(x) + 166%i cosh(x) + 404cosh(x) +--R + +--R 5 4 3 2 +--R - 708%i cosh(x) - 902cosh(x) + 670%i cosh(x) + 596cosh(x) +--R + +--R - 208%i cosh(x) - 17 +--R * +--R 3 +--R sinh(x) +--R + +--R 10 9 8 7 +--R - 2cosh(x) + 36%i cosh(x) + 122cosh(x) - 228%i cosh(x) +--R + +--R 6 5 4 3 +--R - 372cosh(x) + 420%i cosh(x) + 404cosh(x) - 300%i cosh(x) +--R + +--R 2 +--R - 170cosh(x) + 72%i cosh(x) + 18 +--R * +--R 2 +--R coth(x) +--R + +--R 10 9 8 7 +--R cosh(x) - 18%i cosh(x) - 61cosh(x) + 114%i cosh(x) +--R + +--R 6 5 4 3 +--R 186cosh(x) - 210%i cosh(x) - 202cosh(x) + 150%i cosh(x) +--R + +--R 2 +--R 85cosh(x) - 36%i cosh(x) - 9 +--R * +--R csch(x) +--R + +--R 10 9 8 7 +--R 2%i cosh(x) + 36cosh(x) - 122%i cosh(x) - 228cosh(x) +--R + +--R 6 5 4 3 +--R 372%i cosh(x) + 420cosh(x) - 404%i cosh(x) - 300cosh(x) +--R + +--R 2 +--R 170%i cosh(x) + 72cosh(x) - 18%i +--R * +--R 2 +--R coth(x) +--R + +--R 10 9 8 7 +--R 52%i cosh(x) + 28cosh(x) - 22%i cosh(x) + 68cosh(x) +--R + +--R 6 5 4 3 +--R - 254%i cosh(x) - 532cosh(x) + 538%i cosh(x) + 492cosh(x) +--R + +--R 2 +--R - 326%i cosh(x) - 56cosh(x) + 12%i +--R * +--R 2 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 4%i cosh(x) + 24cosh(x) - 48%i cosh(x) - 96cosh(x) +--R + +--R 6 5 4 3 +--R 128%i cosh(x) + 144cosh(x) - 136%i cosh(x) - 96cosh(x) +--R + +--R 2 +--R 60%i cosh(x) + 24cosh(x) - 8%i +--R * +--R 2 +--R coth(x) +--R + +--R 10 9 8 7 +--R - 2%i cosh(x) - 12cosh(x) + 24%i cosh(x) + 48cosh(x) +--R + +--R 6 5 4 3 +--R - 64%i cosh(x) - 72cosh(x) + 68%i cosh(x) + 48cosh(x) +--R + +--R 2 +--R - 30%i cosh(x) - 12cosh(x) + 4%i +--R * +--R csch(x) +--R + +--R 10 9 8 7 +--R 4cosh(x) - 24%i cosh(x) - 48cosh(x) + 96%i cosh(x) +--R + +--R 6 5 4 3 +--R 128cosh(x) - 144%i cosh(x) - 136cosh(x) + 96%i cosh(x) +--R + +--R 2 +--R 60cosh(x) - 24%i cosh(x) - 8 +--R * +--R 2 +--R coth(x) +--R + +--R 11 10 9 8 +--R 16%i cosh(x) + 22cosh(x) - 36%i cosh(x) - 33cosh(x) +--R + +--R 7 6 5 4 +--R - 10%i cosh(x) - 104cosh(x) + 214%i cosh(x) + 162cosh(x) +--R + +--R 3 2 +--R - 206%i cosh(x) - 54cosh(x) + 22%i cosh(x) + 7 +--R * +--R sinh(x) +--R + +--R 10 9 8 7 +--R 2cosh(x) - 4%i cosh(x) - 10cosh(x) + 16%i cosh(x) +--R + +--R 6 5 4 3 +--R 20cosh(x) - 24%i cosh(x) - 20cosh(x) + 16%i cosh(x) +--R + +--R 2 +--R 10cosh(x) - 4%i cosh(x) - 2 +--R * +--R 2 +--R coth(x) +--R + +--R 10 9 8 7 6 +--R - cosh(x) + 2%i cosh(x) + 5cosh(x) - 8%i cosh(x) - 10cosh(x) +--R + +--R 5 4 3 2 +--R 12%i cosh(x) + 10cosh(x) - 8%i cosh(x) - 5cosh(x) + 2%i cosh(x) + 1 +--R * +--R csch(x) +--R + +--R 10 9 8 7 +--R - 2%i cosh(x) - 4cosh(x) + 10%i cosh(x) + 16cosh(x) +--R + +--R 6 5 4 3 +--R - 20%i cosh(x) - 24cosh(x) + 20%i cosh(x) + 16cosh(x) +--R + +--R 2 +--R - 10%i cosh(x) - 4cosh(x) + 2%i +--R * +--R 2 +--R coth(x) +--R + +--R 12 11 10 9 8 +--R 2%i cosh(x) + 4cosh(x) - 8%i cosh(x) - 12cosh(x) + 10%i cosh(x) +--R + +--R 7 6 5 4 3 +--R 8cosh(x) + 32%i cosh(x) + 8cosh(x) - 42%i cosh(x) - 12cosh(x) +--R + +--R 2 +--R 8%i cosh(x) + 4cosh(x) - 2%i +--R / +--R 2 10 +--R (2cosh(x) - 2)sinh(x) +--R + +--R 3 2 9 +--R (16cosh(x) - 8%i cosh(x) - 16cosh(x) + 8%i)sinh(x) +--R + +--R 4 3 2 8 +--R (56cosh(x) - 60%i cosh(x) - 74cosh(x) + 60%i cosh(x) + 18)sinh(x) +--R + +--R 5 4 3 2 +--R 112cosh(x) - 196%i cosh(x) - 232cosh(x) + 228%i cosh(x) +--R + +--R 120cosh(x) - 32%i +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 140cosh(x) - 364%i cosh(x) - 484cosh(x) + 548%i cosh(x) +--R + +--R 2 +--R 388cosh(x) - 184%i cosh(x) - 44 +--R * +--R 6 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 112cosh(x) - 420%i cosh(x) - 664cosh(x) + 864%i cosh(x) +--R + +--R 3 2 +--R 768cosh(x) - 492%i cosh(x) - 216cosh(x) + 48%i +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 56cosh(x) - 308%i cosh(x) - 596cosh(x) + 888%i cosh(x) +--R + +--R 4 3 2 +--R 972cosh(x) - 772%i cosh(x) - 476cosh(x) + 192%i cosh(x) + 44 +--R * +--R 4 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 16cosh(x) - 140%i cosh(x) - 344cosh(x) + 580%i cosh(x) +--R + +--R 5 4 3 2 +--R 776cosh(x) - 740%i cosh(x) - 584cosh(x) + 332%i cosh(x) +--R + +--R 136cosh(x) - 32%i +--R * +--R 3 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 2cosh(x) - 36%i cosh(x) - 122cosh(x) + 228%i cosh(x) +--R + +--R 6 5 4 3 +--R 372cosh(x) - 420%i cosh(x) - 404cosh(x) + 300%i cosh(x) +--R + +--R 2 +--R 170cosh(x) - 72%i cosh(x) - 18 +--R * +--R 2 +--R sinh(x) +--R + +--R 10 9 8 7 +--R - 4%i cosh(x) - 24cosh(x) + 48%i cosh(x) + 96cosh(x) +--R + +--R 6 5 4 3 +--R - 128%i cosh(x) - 144cosh(x) + 136%i cosh(x) + 96cosh(x) +--R + +--R 2 +--R - 60%i cosh(x) - 24cosh(x) + 8%i +--R * +--R sinh(x) +--R + +--R 10 9 8 7 6 +--R - 2cosh(x) + 4%i cosh(x) + 10cosh(x) - 16%i cosh(x) - 20cosh(x) +--R + +--R 5 4 3 2 +--R 24%i cosh(x) + 20cosh(x) - 16%i cosh(x) - 10cosh(x) + 4%i cosh(x) + 2 +--R Type: Expression Complex Integer +--E 30 + +--S 31 of 552 +t0706:= sinh(x)/(a+b*sinh(x))^2 +--R +--R +--R sinh(x) +--R (31) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 31 + +--S 32 of 552 +r0706:= -2*b*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(3/2)+_ + a*cosh(x)/(a^2+b^2)/(a+b*sinh(x)) +--R +--R +--R x +--R a tanh(-) - b +-------+ +--R 2 2 | 2 2 +--R (2b sinh(x) + 2a b)atanh(-------------) + a cosh(x)\|b + a +--R +-------+ +--R | 2 2 +--R \|b + a +--R (32) ------------------------------------------------------------- +--R +-------+ +--R 3 2 2 3 | 2 2 +--R ((b + a b)sinh(x) + a b + a )\|b + a +--R Type: Expression Integer +--E 32 + +--S 33 of 552 +a0706:= integrate(t0706,x) +--R +--R +--R (33) +--R 3 2 3 2 3 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b )sinh(x) + b cosh(x) + 2a b cosh(x) +--R + +--R 3 +--R - b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R +-------+ +--R 2 2 | 2 2 +--R (- 2a sinh(x) - 2a cosh(x) + 2a b)\|b + a +--R / +--R 4 2 2 2 4 2 2 3 3 +--R (b + a b )sinh(x) + ((2b + 2a b )cosh(x) + 2a b + 2a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (b + a b )cosh(x) + (2a b + 2a b)cosh(x) - b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 33 + +--S 34 of 552 +m0706:= a0706-r0706 +--R +--R +--R (34) +--R 4 3 4 3 2 +--R b sinh(x) + (2b cosh(x) + 3a b )sinh(x) +--R + +--R 4 2 3 4 2 2 3 2 +--R (b cosh(x) + 4a b cosh(x) - b + 2a b )sinh(x) + a b cosh(x) +--R + +--R 2 2 3 +--R 2a b cosh(x) - a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 4 3 4 3 2 +--R - 2b sinh(x) + (- 4b cosh(x) - 6a b )sinh(x) +--R + +--R 4 2 3 4 2 2 3 2 +--R (- 2b cosh(x) - 8a b cosh(x) + 2b - 4a b )sinh(x) - 2a b cosh(x) +--R + +--R 2 2 3 +--R - 4a b cosh(x) + 2a b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 2 2 +--R (- a b cosh(x) - 2a b)sinh(x) +--R + +--R 2 2 2 2 3 2 3 +--R (- 2a b cosh(x) - 4a b cosh(x) + 2a b - 2a )sinh(x) - a b cosh(x) +--R + +--R 2 2 2 3 2 +--R - 2a b cosh(x) + (a b - 2a )cosh(x) + 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 5 2 3 3 5 2 3 4 3 2 2 +--R (b + a b )sinh(x) + ((2b + 2a b )cosh(x) + 3a b + 3a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 2 3 4 +--R ((b + a b )cosh(x) + (4a b + 4a b )cosh(x) - b + a b + 2a b) +--R * +--R sinh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (a b + a b )cosh(x) + (2a b + 2a b)cosh(x) - a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 34 + +--S 35 of 552 +d0706:= D(m0706,x) +--R +--R +--R (35) +--R 5 2 3 6 +--R (- b - a b )sinh(x) +--R + +--R 5 2 3 4 3 2 5 +--R ((- 4b - 4a b )cosh(x) - 4a b - 3a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 +--R (- 6b - 5a b )cosh(x) + (- 14a b - 10a b )cosh(x) + 2b +--R + +--R 2 3 4 +--R - 7a b - 4a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 4 3 2 2 +--R - 4b cosh(x) + (- 18a b - 8a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (4b - 20a b - 8a b)cosh(x) + 6a b - 6a b - 2a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 3 4 4 3 2 3 +--R (- b + 5a b )cosh(x) + (- 10a b + 6a b )cosh(x) +--R + +--R 5 2 3 2 4 3 2 5 5 +--R (2b - 22a b )cosh(x) + (10a b - 16a b - 2a )cosh(x) - b +--R + +--R 2 3 4 +--R 5a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 5 4 3 2 4 +--R 4a b cosh(x) + (- 2a b + 11a b )cosh(x) +--R + +--R 2 3 4 3 4 3 2 5 2 +--R (- 12a b + 8a b)cosh(x) + (4a b - 16a b + 2a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 +--R (8a b - 8a b)cosh(x) - 2a b + a b - 2a +--R * +--R sinh(x) +--R + +--R 2 3 6 3 2 5 2 3 4 4 +--R a b cosh(x) + 4a b cosh(x) + (- 3a b + 4a b)cosh(x) +--R + +--R 3 2 5 3 2 3 4 2 +--R (- 6a b + 2a )cosh(x) + (3a b - 4a b)cosh(x) +--R + +--R 3 2 5 2 3 +--R (2a b - 2a )cosh(x) - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 6 4 5 2 3 5 +--R 2a b sinh(x) + (8a b cosh(x) - 4b + 6a b )sinh(x) +--R + +--R 4 2 5 2 3 4 3 2 4 +--R (10a b cosh(x) + (- 12b + 20a b )cosh(x) - 12a b + 8a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 +--R (- 12b + 16a b )cosh(x) + (- 32a b + 16a b )cosh(x) + 4b +--R + +--R 2 3 4 +--R - 12a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 5 2 3 3 4 2 +--R - 10a b cosh(x) + (- 4b - 12a b )cosh(x) - 24a b cosh(x) +--R + +--R 5 2 3 4 4 +--R (4b - 24a b + 4a b)cosh(x) + 10a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 2 3 4 3 2 3 +--R - 8a b cosh(x) - 22a b cosh(x) - 16a b cosh(x) +--R + +--R 2 3 4 2 4 2 3 4 +--R (- 8a b - 4a b)cosh(x) + 8a b cosh(x) + 6a b + 4a b +--R * +--R sinh(x) +--R + +--R 4 6 2 3 5 4 3 2 4 +--R - 2a b cosh(x) - 8a b cosh(x) + (4a b - 8a b )cosh(x) +--R + +--R 2 3 4 3 4 2 2 3 4 +--R (4a b - 4a b)cosh(x) - 2a b cosh(x) + (4a b + 4a b)cosh(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 5 2 3 6 5 2 3 4 3 2 5 +--R (b + a b )sinh(x) + ((4b + 4a b )cosh(x) + 4a b + 3a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 2 3 4 +--R ((6b + 5a b )cosh(x) + (14a b + 10a b )cosh(x) - 2b + 7a b + 4a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 4 3 2 2 +--R 4b cosh(x) + (18a b + 8a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 4b + 20a b + 8a b)cosh(x) - 6a b + 6a b + 2a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 3 4 4 3 2 3 +--R (b - 5a b )cosh(x) + (10a b - 6a b )cosh(x) +--R + +--R 5 2 3 2 4 3 2 5 5 +--R (- 2b + 22a b )cosh(x) + (- 10a b + 16a b + 2a )cosh(x) + b +--R + +--R 2 3 4 +--R - 5a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 5 4 3 2 4 2 3 4 3 +--R - 4a b cosh(x) + (2a b - 11a b )cosh(x) + (12a b - 8a b)cosh(x) +--R + +--R 4 3 2 5 2 2 3 4 4 +--R (- 4a b + 16a b - 2a )cosh(x) + (- 8a b + 8a b)cosh(x) + 2a b +--R + +--R 3 2 5 +--R - a b + 2a +--R * +--R sinh(x) +--R + +--R 2 3 6 3 2 5 2 3 4 4 +--R - a b cosh(x) - 4a b cosh(x) + (3a b - 4a b)cosh(x) +--R + +--R 3 2 5 3 2 3 4 2 3 2 5 +--R (6a b - 2a )cosh(x) + (- 3a b + 4a b)cosh(x) + (- 2a b + 2a )cosh(x) +--R + +--R 2 3 +--R a b +--R / +--R 6 3 4 6 +--R (a b + a b )sinh(x) +--R + +--R 6 3 4 2 5 4 3 5 +--R ((4a b + 4a b )cosh(x) + 6a b + 6a b )sinh(x) +--R + +--R 6 3 4 2 2 5 4 3 6 +--R (6a b + 6a b )cosh(x) + (20a b + 20a b )cosh(x) - 2a b +--R + +--R 3 4 5 2 +--R 11a b + 13a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 3 4 3 2 5 4 3 2 +--R (4a b + 4a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 6 3 4 5 2 2 5 4 3 6 +--R (- 4a b + 32a b + 36a b )cosh(x) - 8a b + 4a b + 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 3 4 4 2 5 4 3 3 +--R (a b + a b )cosh(x) + (12a b + 12a b )cosh(x) +--R + +--R 6 3 4 5 2 2 +--R (- 2a b + 32a b + 34a b )cosh(x) +--R + +--R 2 5 4 3 6 6 3 4 5 2 7 +--R (- 12a b + 16a b + 28a b)cosh(x) + a b - 9a b - 6a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 4 3 4 3 4 5 2 3 +--R (2a b + 2a b )cosh(x) + (12a b + 12a b )cosh(x) +--R + +--R 2 5 4 3 6 2 +--R (- 4a b + 16a b + 20a b)cosh(x) +--R + +--R 3 4 5 2 7 2 5 4 3 6 +--R (- 12a b - 4a b + 8a )cosh(x) + 2a b - 2a b - 4a b +--R * +--R sinh(x) +--R + +--R 3 4 5 2 4 4 3 6 3 +--R (a b + a b )cosh(x) + (4a b + 4a b)cosh(x) +--R + +--R 3 4 5 2 7 2 4 3 6 3 4 5 2 +--R (- 2a b + 2a b + 4a )cosh(x) + (- 4a b - 4a b)cosh(x) + a b + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 7 2 5 6 +--R (- 2b - 2a b )sinh(x) +--R + +--R 7 2 5 6 3 4 5 +--R ((- 8b - 8a b )cosh(x) - 12a b - 12a b )sinh(x) +--R + +--R 7 2 5 2 6 3 4 7 +--R (- 12b - 12a b )cosh(x) + (- 40a b - 40a b )cosh(x) + 4b +--R + +--R 2 5 4 3 +--R - 22a b - 26a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 2 5 3 6 3 4 2 +--R (- 8b - 8a b )cosh(x) + (- 48a b - 48a b )cosh(x) +--R + +--R 7 2 5 4 3 6 3 4 5 2 +--R (8b - 64a b - 72a b )cosh(x) + 16a b - 8a b - 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 2 5 4 6 3 4 3 +--R (- 2b - 2a b )cosh(x) + (- 24a b - 24a b )cosh(x) +--R + +--R 7 2 5 4 3 2 +--R (4b - 64a b - 68a b )cosh(x) +--R + +--R 6 3 4 5 2 7 2 5 4 3 6 +--R (24a b - 32a b - 56a b )cosh(x) - 2b + 18a b + 12a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 3 4 4 2 5 4 3 3 +--R (- 4a b - 4a b )cosh(x) + (- 24a b - 24a b )cosh(x) +--R + +--R 6 3 4 5 2 2 +--R (8a b - 32a b - 40a b )cosh(x) +--R + +--R 2 5 4 3 6 6 3 4 5 2 +--R (24a b + 8a b - 16a b)cosh(x) - 4a b + 4a b + 8a b +--R * +--R sinh(x) +--R + +--R 2 5 4 3 4 3 4 5 2 3 +--R (- 2a b - 2a b )cosh(x) + (- 8a b - 8a b )cosh(x) +--R + +--R 2 5 4 3 6 2 3 4 5 2 2 5 4 3 +--R (4a b - 4a b - 8a b)cosh(x) + (8a b + 8a b )cosh(x) - 2a b - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 6 3 4 6 +--R (- a b - a b )sinh(x) +--R + +--R 6 3 4 2 5 4 3 5 +--R ((- 4a b - 4a b )cosh(x) - 6a b - 6a b )sinh(x) +--R + +--R 6 3 4 2 2 5 4 3 6 +--R (- 6a b - 6a b )cosh(x) + (- 20a b - 20a b )cosh(x) + 2a b +--R + +--R 3 4 5 2 +--R - 11a b - 13a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 3 4 3 2 5 4 3 2 +--R (- 4a b - 4a b )cosh(x) + (- 24a b - 24a b )cosh(x) +--R + +--R 6 3 4 5 2 2 5 4 3 6 +--R (4a b - 32a b - 36a b )cosh(x) + 8a b - 4a b - 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 3 4 4 2 5 4 3 3 +--R (- a b - a b )cosh(x) + (- 12a b - 12a b )cosh(x) +--R + +--R 6 3 4 5 2 2 2 5 4 3 6 +--R (2a b - 32a b - 34a b )cosh(x) + (12a b - 16a b - 28a b)cosh(x) +--R + +--R 6 3 4 5 2 7 +--R - a b + 9a b + 6a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 4 3 4 3 4 5 2 3 +--R (- 2a b - 2a b )cosh(x) + (- 12a b - 12a b )cosh(x) +--R + +--R 2 5 4 3 6 2 3 4 5 2 7 +--R (4a b - 16a b - 20a b)cosh(x) + (12a b + 4a b - 8a )cosh(x) +--R + +--R 2 5 4 3 6 +--R - 2a b + 2a b + 4a b +--R * +--R sinh(x) +--R + +--R 3 4 5 2 4 4 3 6 3 +--R (- a b - a b )cosh(x) + (- 4a b - 4a b)cosh(x) +--R + +--R 3 4 5 2 7 2 4 3 6 3 4 5 2 +--R (2a b - 2a b - 4a )cosh(x) + (4a b + 4a b)cosh(x) - a b - a b +--R Type: Expression Integer +--E 35 + +--S 36 of 552 +t0707:= sinh(x)^2/(a+b*sinh(x))^2 +--R +--R +--R 2 +--R sinh(x) +--R (36) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 36 + +--S 37 of 552 +r0707:= x/b^2-2*a^3*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/b^2/_ + (a^2+b^2)^(3/2)+4*a*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/_ + b^2/(a^2+b^2)^(1/2)-a^2*cosh(x)/b/(a^2+b^2)/(a+b*sinh(x)) +--R +--R +--R (37) +--R x +--R a tanh(-) - b +--R 3 3 2 2 4 2 +--R ((- 4a b - 2a b)sinh(x) - 4a b - 2a )atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R 3 2 2 2 3 | 2 2 +--R ((b + a b)x sinh(x) - a b cosh(x) + (a b + a )x)\|b + a +--R / +--R +-------+ +--R 5 2 3 4 3 2 | 2 2 +--R ((b + a b )sinh(x) + a b + a b )\|b + a +--R Type: Expression Integer +--E 37 + +--S 38 of 552 +a0707:= integrate(t0707,x) +--R +--R +--R (38) +--R 3 3 2 3 3 2 2 4 +--R (2a b + a b)sinh(x) + ((4a b + 2a b)cosh(x) + 4a b + 2a )sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (2a b + a b)cosh(x) + (4a b + 2a )cosh(x) - 2a b - a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 3 2 2 +--R (b + a b)x sinh(x) +--R + +--R 3 2 2 3 3 +--R ((2b + 2a b)x cosh(x) + (2a b + 2a )x + 2a )sinh(x) +--R + +--R 3 2 2 2 3 3 3 2 +--R (b + a b)x cosh(x) + ((2a b + 2a )x + 2a )cosh(x) + (- b - a b)x +--R + +--R 2 +--R - 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 5 2 3 2 5 2 3 4 3 2 +--R (b + a b )sinh(x) + ((2b + 2a b )cosh(x) + 2a b + 2a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 2 3 +--R (b + a b )cosh(x) + (2a b + 2a b )cosh(x) - b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 38 + +--S 39 of 552 +m0707:= a0707-r0707 +--R +--R +--R (39) +--R 4 3 2 3 +--R (2a b + a b )sinh(x) +--R + +--R 4 3 2 2 3 4 2 +--R ((4a b + 2a b )cosh(x) + 6a b + 3a b)sinh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (2a b + a b )cosh(x) + (8a b + 4a b)cosh(x) - 2a b + 3a b +--R + +--R 5 +--R 2a +--R * +--R sinh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (2a b + a b)cosh(x) + (4a b + 2a )cosh(x) - 2a b - a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 4 3 2 3 +--R (4a b + 2a b )sinh(x) +--R + +--R 4 3 2 2 3 4 2 +--R ((8a b + 4a b )cosh(x) + 12a b + 6a b)sinh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (4a b + 2a b )cosh(x) + (16a b + 8a b)cosh(x) - 4a b + 6a b +--R + +--R 5 +--R 4a +--R * +--R sinh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (4a b + 2a b)cosh(x) + (8a b + 4a )cosh(x) - 4a b - 2a b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 2 3 2 +--R (a b cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 2 3 2 2 4 2 2 3 +--R (2a b cosh(x) + 4a b cosh(x) - 2a b + 2a )sinh(x) + a b cosh(x) +--R + +--R 3 2 2 2 4 3 +--R 2a b cosh(x) + (- a b + 2a )cosh(x) - 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 6 2 4 3 6 2 4 5 3 3 2 +--R (b + a b )sinh(x) + ((2b + 2a b )cosh(x) + 3a b + 3a b )sinh(x) +--R + +--R 6 2 4 2 5 3 3 6 2 4 4 2 +--R ((b + a b )cosh(x) + (4a b + 4a b )cosh(x) - b + a b + 2a b ) +--R * +--R sinh(x) +--R + +--R 5 3 3 2 2 4 4 2 5 3 3 +--R (a b + a b )cosh(x) + (2a b + 2a b )cosh(x) - a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 39 + +--S 40 of 552 +d0707:= D(m0707,x) +--R +--R +--R (40) +--R 5 3 3 6 +--R (2a b + 2a b )sinh(x) +--R + +--R 5 3 3 2 4 4 2 5 +--R ((8a b + 8a b )cosh(x) + 8a b + 7a b )sinh(x) +--R + +--R 5 3 3 2 2 4 4 2 5 +--R (12a b + 11a b )cosh(x) + (28a b + 24a b )cosh(x) - 4a b +--R + +--R 3 3 5 +--R 10a b + 9a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 3 3 2 4 4 2 2 +--R (8a b + 4a b )cosh(x) + (36a b + 26a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (- 8a b + 32a b + 24a b)cosh(x) - 12a b + 2a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 3 3 4 2 4 4 2 3 +--R (2a b - 4a b )cosh(x) + (20a b + 4a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 4a b + 38a b + 18a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (- 20a b + 12a b + 8a )cosh(x) + 2a b - 10a b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 5 2 4 4 2 4 3 3 3 +--R - 4a b cosh(x) + (4a b - 9a b )cosh(x) + 20a b cosh(x) +--R + +--R 2 4 4 2 6 2 3 3 2 4 4 2 +--R (- 8a b + 18a b + 4a )cosh(x) - 16a b cosh(x) + 4a b - a b +--R * +--R sinh(x) +--R + +--R 3 3 6 4 2 5 3 3 5 4 +--R - a b cosh(x) - 4a b cosh(x) + (4a b - 3a b)cosh(x) +--R + +--R 4 2 3 3 3 5 2 4 2 3 3 5 +--R 8a b cosh(x) + (- 5a b + 2a b)cosh(x) - 4a b cosh(x) + 2a b + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 2 4 6 2 4 5 3 3 5 +--R - 2a b sinh(x) + (- 8a b cosh(x) + 8a b - 2a b )sinh(x) +--R + +--R 2 4 2 5 3 3 2 4 4 2 4 +--R (- 10a b cosh(x) + (24a b - 8a b )cosh(x) + 28a b + 8a b )sinh(x) +--R + +--R 5 3 3 2 2 4 4 2 5 +--R (24a b - 4a b )cosh(x) + (72a b + 24a b )cosh(x) - 8a b +--R + +--R 3 3 5 +--R 28a b + 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 4 5 3 3 3 +--R 10a b cosh(x) + (8a b + 16a b )cosh(x) +--R + +--R 2 4 4 2 2 5 3 3 5 +--R (56a b + 32a b )cosh(x) + (- 8a b + 64a b + 40a b)cosh(x) +--R + +--R 2 4 6 +--R - 18a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 5 3 3 4 2 4 4 2 3 +--R 8a b cosh(x) + 22a b cosh(x) + (8a b + 24a b )cosh(x) +--R + +--R 3 3 5 2 2 4 4 2 6 +--R (36a b + 32a b)cosh(x) + (- 16a b + 8a b + 16a )cosh(x) +--R + +--R 3 3 5 +--R - 10a b - 8a b +--R * +--R sinh(x) +--R + +--R 2 4 6 3 3 5 2 4 4 2 4 +--R 2a b cosh(x) + 8a b cosh(x) + (- 4a b + 8a b )cosh(x) +--R + +--R 5 3 2 4 4 2 6 2 3 3 5 +--R 8a b cosh(x) + (2a b + 8a b + 8a )cosh(x) + (- 8a b - 8a b)cosh(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 5 3 3 6 +--R (- 2a b - 2a b )sinh(x) +--R + +--R 5 3 3 2 4 4 2 5 +--R ((- 8a b - 8a b )cosh(x) - 8a b - 7a b )sinh(x) +--R + +--R 5 3 3 2 2 4 4 2 5 +--R (- 12a b - 11a b )cosh(x) + (- 28a b - 24a b )cosh(x) + 4a b +--R + +--R 3 3 5 +--R - 10a b - 9a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 3 3 2 4 4 2 2 +--R (- 8a b - 4a b )cosh(x) + (- 36a b - 26a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (8a b - 32a b - 24a b)cosh(x) + 12a b - 2a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 3 3 4 2 4 4 2 3 +--R (- 2a b + 4a b )cosh(x) + (- 20a b - 4a b )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 6 +--R (4a b - 38a b - 18a b)cosh(x) + (20a b - 12a b - 8a )cosh(x) +--R + +--R 5 3 3 5 +--R - 2a b + 10a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 5 2 4 4 2 4 3 3 3 +--R 4a b cosh(x) + (- 4a b + 9a b )cosh(x) - 20a b cosh(x) +--R + +--R 2 4 4 2 6 2 3 3 2 4 4 2 +--R (8a b - 18a b - 4a )cosh(x) + 16a b cosh(x) - 4a b + a b +--R * +--R sinh(x) +--R + +--R 3 3 6 4 2 5 3 3 5 4 4 2 3 +--R a b cosh(x) + 4a b cosh(x) + (- 4a b + 3a b)cosh(x) - 8a b cosh(x) +--R + +--R 3 3 5 2 4 2 3 3 5 +--R (5a b - 2a b)cosh(x) + 4a b cosh(x) - 2a b - a b +--R / +--R 7 3 5 6 +--R (a b + a b )sinh(x) +--R + +--R 7 3 5 2 6 4 4 5 +--R ((4a b + 4a b )cosh(x) + 6a b + 6a b )sinh(x) +--R + +--R 7 3 5 2 2 6 4 4 7 +--R (6a b + 6a b )cosh(x) + (20a b + 20a b )cosh(x) - 2a b +--R + +--R 3 5 5 3 +--R 11a b + 13a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 3 5 3 2 6 4 4 2 +--R (4a b + 4a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 7 3 5 5 3 2 6 4 4 6 2 +--R (- 4a b + 32a b + 36a b )cosh(x) - 8a b + 4a b + 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 3 5 4 2 6 4 4 3 +--R (a b + a b )cosh(x) + (12a b + 12a b )cosh(x) +--R + +--R 7 3 5 5 3 2 +--R (- 2a b + 32a b + 34a b )cosh(x) +--R + +--R 2 6 4 4 6 2 7 3 5 5 3 7 +--R (- 12a b + 16a b + 28a b )cosh(x) + a b - 9a b - 6a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 6 4 4 4 3 5 5 3 3 +--R (2a b + 2a b )cosh(x) + (12a b + 12a b )cosh(x) +--R + +--R 2 6 4 4 6 2 2 +--R (- 4a b + 16a b + 20a b )cosh(x) +--R + +--R 3 5 5 3 7 2 6 4 4 6 2 +--R (- 12a b - 4a b + 8a b)cosh(x) + 2a b - 2a b - 4a b +--R * +--R sinh(x) +--R + +--R 3 5 5 3 4 4 4 6 2 3 +--R (a b + a b )cosh(x) + (4a b + 4a b )cosh(x) +--R + +--R 3 5 5 3 7 2 4 4 6 2 3 5 +--R (- 2a b + 2a b + 4a b)cosh(x) + (- 4a b - 4a b )cosh(x) + a b +--R + +--R 5 3 +--R a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 8 2 6 6 +--R (- 2b - 2a b )sinh(x) +--R + +--R 8 2 6 7 3 5 5 +--R ((- 8b - 8a b )cosh(x) - 12a b - 12a b )sinh(x) +--R + +--R 8 2 6 2 7 3 5 8 +--R (- 12b - 12a b )cosh(x) + (- 40a b - 40a b )cosh(x) + 4b +--R + +--R 2 6 4 4 +--R - 22a b - 26a b +--R * +--R 4 +--R sinh(x) +--R + +--R 8 2 6 3 7 3 5 2 +--R (- 8b - 8a b )cosh(x) + (- 48a b - 48a b )cosh(x) +--R + +--R 8 2 6 4 4 7 3 5 5 3 +--R (8b - 64a b - 72a b )cosh(x) + 16a b - 8a b - 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 2 6 4 7 3 5 3 +--R (- 2b - 2a b )cosh(x) + (- 24a b - 24a b )cosh(x) +--R + +--R 8 2 6 4 4 2 +--R (4b - 64a b - 68a b )cosh(x) +--R + +--R 7 3 5 5 3 8 2 6 4 4 6 2 +--R (24a b - 32a b - 56a b )cosh(x) - 2b + 18a b + 12a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 3 5 4 2 6 4 4 3 +--R (- 4a b - 4a b )cosh(x) + (- 24a b - 24a b )cosh(x) +--R + +--R 7 3 5 5 3 2 +--R (8a b - 32a b - 40a b )cosh(x) +--R + +--R 2 6 4 4 6 2 7 3 5 5 3 +--R (24a b + 8a b - 16a b )cosh(x) - 4a b + 4a b + 8a b +--R * +--R sinh(x) +--R + +--R 2 6 4 4 4 3 5 5 3 3 +--R (- 2a b - 2a b )cosh(x) + (- 8a b - 8a b )cosh(x) +--R + +--R 2 6 4 4 6 2 2 3 5 5 3 2 6 +--R (4a b - 4a b - 8a b )cosh(x) + (8a b + 8a b )cosh(x) - 2a b +--R + +--R 4 4 +--R - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 7 3 5 6 +--R (- a b - a b )sinh(x) +--R + +--R 7 3 5 2 6 4 4 5 +--R ((- 4a b - 4a b )cosh(x) - 6a b - 6a b )sinh(x) +--R + +--R 7 3 5 2 2 6 4 4 7 +--R (- 6a b - 6a b )cosh(x) + (- 20a b - 20a b )cosh(x) + 2a b +--R + +--R 3 5 5 3 +--R - 11a b - 13a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 3 5 3 2 6 4 4 2 +--R (- 4a b - 4a b )cosh(x) + (- 24a b - 24a b )cosh(x) +--R + +--R 7 3 5 5 3 2 6 4 4 6 2 +--R (4a b - 32a b - 36a b )cosh(x) + 8a b - 4a b - 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 3 5 4 2 6 4 4 3 +--R (- a b - a b )cosh(x) + (- 12a b - 12a b )cosh(x) +--R + +--R 7 3 5 5 3 2 2 6 4 4 6 2 +--R (2a b - 32a b - 34a b )cosh(x) + (12a b - 16a b - 28a b )cosh(x) +--R + +--R 7 3 5 5 3 7 +--R - a b + 9a b + 6a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 6 4 4 4 3 5 5 3 3 +--R (- 2a b - 2a b )cosh(x) + (- 12a b - 12a b )cosh(x) +--R + +--R 2 6 4 4 6 2 2 3 5 5 3 7 +--R (4a b - 16a b - 20a b )cosh(x) + (12a b + 4a b - 8a b)cosh(x) +--R + +--R 2 6 4 4 6 2 +--R - 2a b + 2a b + 4a b +--R * +--R sinh(x) +--R + +--R 3 5 5 3 4 4 4 6 2 3 +--R (- a b - a b )cosh(x) + (- 4a b - 4a b )cosh(x) +--R + +--R 3 5 5 3 7 2 4 4 6 2 3 5 5 3 +--R (2a b - 2a b - 4a b)cosh(x) + (4a b + 4a b )cosh(x) - a b - a b +--R Type: Expression Integer +--E 40 + +--S 41 of 552 +t0708:= sinh(x)^3/(a+b*sinh(x))^2 +--R +--R +--R 3 +--R sinh(x) +--R (41) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 41 + +--S 42 of 552 +r0708:= -2*a*x/b^3+2*a^4*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/b^3/_ + (a^2+b^2)^(3/2)-6*a^2*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/_ + b^3/(a^2+b^2)^(1/2)+cosh(x)/b^2+a^3*cosh(x)/b^2/(a^2+b^2)/_ + (a+b*sinh(x)) +--R +--R +--R (42) +--R x +--R a tanh(-) - b +--R 2 3 4 3 2 5 2 +--R ((6a b + 4a b)sinh(x) + 6a b + 4a )atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 4 2 2 3 3 +--R ((b + a b )cosh(x) + (- 2a b - 2a b)x)sinh(x) +--R + +--R 3 3 2 2 4 +--R (a b + 2a b)cosh(x) + (- 2a b - 2a )x +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R +-------+ +--R 6 2 4 5 3 3 | 2 2 +--R ((b + a b )sinh(x) + a b + a b )\|b + a +--R Type: Expression Integer +--E 42 + +--S 43 of 552 +a0708:= integrate(t0708,x) +--R +--R +--R (43) +--R 2 3 4 3 +--R (6a b + 4a b)sinh(x) +--R + +--R 2 3 4 3 2 5 2 +--R ((18a b + 12a b)cosh(x) + 12a b + 8a )sinh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R ((18a b + 12a b)cosh(x) + (24a b + 16a )cosh(x) - 6a b - 4a b) +--R * +--R sinh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (6a b + 4a b)cosh(x) + (12a b + 8a )cosh(x) +--R + +--R 2 3 4 +--R (- 6a b - 4a b)cosh(x) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 4 2 2 4 +--R (b + a b )sinh(x) +--R + +--R 4 2 2 3 3 3 3 3 +--R ((4b + 4a b )cosh(x) + (- 4a b - 4a b)x + 2a b + 2a b)sinh(x) +--R + +--R 4 2 2 2 +--R (6b + 6a b )cosh(x) +--R + +--R 3 3 3 3 2 2 4 +--R ((- 12a b - 12a b)x + 6a b + 6a b)cosh(x) + (- 8a b - 8a )x +--R + +--R 4 +--R - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 3 +--R (4b + 4a b )cosh(x) +--R + +--R 3 3 3 3 2 +--R ((- 12a b - 12a b)x + 6a b + 6a b)cosh(x) +--R + +--R 2 2 4 4 3 3 3 3 +--R ((- 16a b - 16a )x - 8a )cosh(x) + (4a b + 4a b)x + 2a b + 6a b +--R * +--R sinh(x) +--R + +--R 4 2 2 4 3 3 3 3 3 +--R (b + a b )cosh(x) + ((- 4a b - 4a b)x + 2a b + 2a b)cosh(x) +--R + +--R 2 2 4 4 2 +--R ((- 8a b - 8a )x - 4a )cosh(x) +--R + +--R 3 3 3 3 4 2 2 +--R ((4a b + 4a b)x + 2a b + 6a b)cosh(x) - b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 6 2 4 3 6 2 4 5 3 3 2 +--R (2b + 2a b )sinh(x) + ((6b + 6a b )cosh(x) + 4a b + 4a b )sinh(x) +--R + +--R 6 2 4 2 5 3 3 6 2 4 +--R ((6b + 6a b )cosh(x) + (8a b + 8a b )cosh(x) - 2b - 2a b )sinh(x) +--R + +--R 6 2 4 3 5 3 3 2 6 2 4 +--R (2b + 2a b )cosh(x) + (4a b + 4a b )cosh(x) + (- 2b - 2a b )cosh(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 43 + +--S 44 of 552 +m0708:= a0708-r0708 +--R +--R +--R (44) +--R 2 4 4 2 4 +--R (6a b + 4a b )sinh(x) +--R + +--R 2 4 4 2 3 3 5 3 +--R ((18a b + 12a b )cosh(x) + 18a b + 12a b)sinh(x) +--R + +--R 2 4 4 2 2 3 3 5 2 4 +--R (18a b + 12a b )cosh(x) + (42a b + 28a b)cosh(x) - 6a b +--R + +--R 4 2 6 +--R 8a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 4 2 3 3 3 5 2 +--R (6a b + 4a b )cosh(x) + (30a b + 20a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 5 +--R (- 6a b + 20a b + 16a )cosh(x) - 6a b - 4a b +--R * +--R sinh(x) +--R + +--R 3 3 5 3 4 2 6 2 +--R (6a b + 4a b)cosh(x) + (12a b + 8a )cosh(x) +--R + +--R 3 3 5 +--R (- 6a b - 4a b)cosh(x) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 4 4 2 4 +--R (- 12a b - 8a b )sinh(x) +--R + +--R 2 4 4 2 3 3 5 3 +--R ((- 36a b - 24a b )cosh(x) - 36a b - 24a b)sinh(x) +--R + +--R 2 4 4 2 2 3 3 5 2 4 +--R (- 36a b - 24a b )cosh(x) + (- 84a b - 56a b)cosh(x) + 12a b +--R + +--R 4 2 6 +--R - 16a b - 16a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 4 2 3 3 3 5 2 +--R (- 12a b - 8a b )cosh(x) + (- 60a b - 40a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 5 +--R (12a b - 40a b - 32a )cosh(x) + 12a b + 8a b +--R * +--R sinh(x) +--R + +--R 3 3 5 3 4 2 6 2 +--R (- 12a b - 8a b)cosh(x) + (- 24a b - 16a )cosh(x) +--R + +--R 3 3 5 +--R (12a b + 8a b)cosh(x) +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 5 2 3 5 5 2 3 4 3 2 4 +--R (b + a b )sinh(x) + ((2b + 2a b )cosh(x) + 3a b + 3a b )sinh(x) +--R + +--R 4 3 2 2 3 4 3 +--R ((4a b + 2a b )cosh(x) + 2a b - 2a b)sinh(x) +--R + +--R 5 2 3 3 4 3 2 2 +--R (- 2b - 2a b )cosh(x) + (- 2a b - 8a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (2b + 4a b - 10a b)cosh(x) + 2a b + 6a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 4 4 3 2 3 +--R (- b - a b )cosh(x) + (- 4a b - 10a b )cosh(x) +--R + +--R 5 4 2 4 3 2 5 5 2 3 +--R (2b - 14a b)cosh(x) + (4a b + 10a b - 8a )cosh(x) - b + a b +--R + +--R 4 +--R 6a b +--R * +--R sinh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- a b - 3a b )cosh(x) + (- 2a b - 6a b)cosh(x) +--R + +--R 4 3 2 5 2 2 3 4 4 3 2 +--R (2a b + 4a b - 4a )cosh(x) + (2a b + 6a b)cosh(x) - a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 7 2 5 4 7 2 5 6 3 4 3 +--R (2b + 2a b )sinh(x) + ((6b + 6a b )cosh(x) + 6a b + 6a b )sinh(x) +--R + +--R 7 2 5 2 6 3 4 7 2 5 +--R (6b + 6a b )cosh(x) + (14a b + 14a b )cosh(x) - 2b + 2a b +--R + +--R 4 3 +--R 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 5 3 6 3 4 2 +--R (2b + 2a b )cosh(x) + (10a b + 10a b )cosh(x) +--R + +--R 7 2 5 4 3 6 3 4 +--R (- 2b + 6a b + 8a b )cosh(x) - 2a b - 2a b +--R * +--R sinh(x) +--R + +--R 6 3 4 3 2 5 4 3 2 +--R (2a b + 2a b )cosh(x) + (4a b + 4a b )cosh(x) +--R + +--R 6 3 4 +--R (- 2a b - 2a b )cosh(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 44 + +--S 45 of 552 +d0708:= D(m0708,x) +--R +--R +--R (45) +--R 6 3 4 8 +--R (- a b - a b )sinh(x) +--R + +--R 6 3 4 2 5 4 3 7 +--R ((- 4a b - 4a b )cosh(x) - 12a b - 12a b )sinh(x) +--R + +--R 6 3 4 2 2 5 4 3 6 +--R (- 5a b - 5a b )cosh(x) + (- 50a b - 50a b )cosh(x) + a b +--R + +--R 3 4 5 2 +--R - 36a b - 35a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 4 3 2 3 4 5 2 +--R (- 78a b - 76a b )cosh(x) + (- 144a b - 134a b )cosh(x) +--R + +--R 2 5 4 3 6 +--R 14a b - 36a b - 40a b +--R * +--R 5 +--R sinh(x) +--R + +--R 6 3 4 4 2 5 4 3 3 +--R (5a b + 5a b )cosh(x) + (- 52a b - 42a b )cosh(x) +--R + +--R 6 3 4 5 2 2 +--R (- 6a b - 219a b - 185a b )cosh(x) +--R + +--R 2 5 4 3 6 6 3 4 5 2 7 +--R (28a b - 150a b - 136a b)cosh(x) + a b + 34a b - 3a b - 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 6 3 4 5 2 5 4 3 4 +--R (4a b + 4a b )cosh(x) + (- 8a b + 12a b )cosh(x) +--R + +--R 6 3 4 5 2 3 +--R (- 8a b - 152a b - 92a b )cosh(x) +--R + +--R 2 5 4 3 6 2 +--R (8a b - 232a b - 160a b)cosh(x) +--R + +--R 6 3 4 5 2 7 4 3 6 +--R (4a b + 76a b - 44a b - 48a )cosh(x) + 28a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 3 4 6 2 5 4 3 5 +--R (a b + a b )cosh(x) + (6a b + 26a b )cosh(x) +--R + +--R 6 3 4 5 2 4 +--R (- 3a b - 42a b + 19a b )cosh(x) +--R + +--R 2 5 4 3 6 3 +--R (- 12a b - 164a b - 64a b)cosh(x) +--R + +--R 6 3 4 5 2 7 2 +--R (3a b + 45a b - 98a b - 48a )cosh(x) +--R + +--R 2 5 4 3 6 6 3 4 5 2 +--R (6a b + 66a b + 8a b)cosh(x) - a b - 4a b + 7a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 4 3 6 5 2 5 +--R (2a b + 12a b )cosh(x) + 34a b cosh(x) +--R + +--R 2 5 4 3 6 4 5 2 7 3 +--R (- 6a b - 52a b + 8a b)cosh(x) + (- 76a b - 16a )cosh(x) +--R + +--R 2 5 4 3 6 2 5 2 2 5 4 3 +--R (6a b + 44a b - 8a b)cosh(x) + 18a b cosh(x) - 2a b - 4a b +--R * +--R sinh(x) +--R + +--R 4 3 7 3 4 5 2 6 4 3 6 5 +--R 2a b cosh(x) + (a b + 9a b )cosh(x) + (- 6a b + 8a b)cosh(x) +--R + +--R 3 4 5 2 4 4 3 6 3 +--R (- 3a b - 19a b )cosh(x) + (6a b - 8a b)cosh(x) +--R + +--R 3 4 5 2 2 4 3 3 4 5 2 +--R (3a b + 11a b )cosh(x) - 2a b cosh(x) - a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 7 2 5 8 +--R (2b + 2a b )sinh(x) +--R + +--R 7 2 5 6 3 4 7 +--R ((8b + 8a b )cosh(x) + 12a b + 16a b )sinh(x) +--R + +--R 7 2 5 2 6 3 4 7 4 3 +--R ((10b + 10a b )cosh(x) + (40a b + 60a b )cosh(x) - 2b + 22a b ) +--R * +--R 6 +--R sinh(x) +--R + +--R 6 3 4 2 2 5 4 3 6 +--R (36a b + 72a b )cosh(x) + (- 24a b + 60a b )cosh(x) - 4a b +--R + +--R 3 4 5 2 +--R - 68a b - 24a b +--R * +--R 5 +--R sinh(x) +--R + +--R 7 2 5 4 6 3 4 3 +--R (- 10b - 10a b )cosh(x) + (- 16a b + 4a b )cosh(x) +--R + +--R 7 2 5 4 3 2 +--R (12b - 90a b + 18a b )cosh(x) +--R + +--R 6 3 4 5 2 7 2 5 4 3 6 +--R (16a b - 240a b - 120a b )cosh(x) - 2b + 28a b - 74a b - 64a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 2 5 5 6 3 4 4 +--R (- 8b - 8a b )cosh(x) + (- 44a b - 64a b )cosh(x) +--R + +--R 7 2 5 4 3 3 +--R (16b - 128a b - 104a b )cosh(x) +--R + +--R 6 3 4 5 2 2 +--R (56a b - 328a b - 240a b )cosh(x) +--R + +--R 7 2 5 4 3 6 6 3 4 +--R (- 8b + 88a b - 232a b - 224a b)cosh(x) - 12a b + 56a b +--R + +--R 5 2 7 +--R 16a b - 32a +--R * +--R 3 +--R sinh(x) +--R + +--R 7 2 5 6 6 3 4 5 +--R (- 2b - 2a b )cosh(x) + (- 24a b - 60a b )cosh(x) +--R + +--R 7 2 5 4 3 4 +--R (6b - 84a b - 150a b )cosh(x) +--R + +--R 6 3 4 5 2 3 +--R (48a b - 208a b - 240a b )cosh(x) +--R + +--R 7 2 5 4 3 6 2 +--R (- 6b + 102a b - 252a b - 288a b)cosh(x) +--R + +--R 6 3 4 5 2 7 7 2 5 +--R (- 24a b + 124a b + 16a b - 96a )cosh(x) + 2b - 16a b +--R + +--R 4 3 6 +--R 18a b + 32a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 3 4 6 2 5 4 3 5 +--R (- 4a b - 24a b )cosh(x) + (- 24a b - 84a b )cosh(x) +--R + +--R 6 3 4 5 2 4 +--R (12a b - 52a b - 120a b )cosh(x) +--R + +--R 2 5 4 3 6 3 +--R (48a b - 104a b - 160a b)cosh(x) +--R + +--R 6 3 4 5 2 7 2 +--R (- 12a b + 80a b - 16a b - 96a )cosh(x) +--R + +--R 2 5 4 3 6 6 3 4 5 2 +--R (- 24a b + 44a b + 64a b)cosh(x) + 4a b - 4a b - 8a b +--R * +--R sinh(x) +--R + +--R 3 4 7 2 5 4 3 6 5 2 5 +--R - 4a b cosh(x) + (- 2a b - 18a b )cosh(x) - 24a b cosh(x) +--R + +--R 2 5 4 3 6 4 3 4 5 2 7 3 +--R (6a b - 10a b - 32a b)cosh(x) + (12a b - 16a b - 32a )cosh(x) +--R + +--R 2 5 4 3 6 2 3 4 5 2 2 5 +--R (- 6a b + 26a b + 32a b)cosh(x) + (- 8a b - 8a b )cosh(x) + 2a b +--R + +--R 4 3 +--R 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 6 3 4 8 +--R (a b + a b )sinh(x) +--R + +--R 6 3 4 2 5 4 3 7 +--R ((4a b + 4a b )cosh(x) + 12a b + 12a b )sinh(x) +--R + +--R 6 3 4 2 2 5 4 3 6 3 4 +--R (5a b + 5a b )cosh(x) + (50a b + 50a b )cosh(x) - a b + 36a b +--R + +--R 5 2 +--R 35a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 4 3 2 3 4 5 2 2 5 +--R (78a b + 76a b )cosh(x) + (144a b + 134a b )cosh(x) - 14a b +--R + +--R 4 3 6 +--R 36a b + 40a b +--R * +--R 5 +--R sinh(x) +--R + +--R 6 3 4 4 2 5 4 3 3 +--R (- 5a b - 5a b )cosh(x) + (52a b + 42a b )cosh(x) +--R + +--R 6 3 4 5 2 2 +--R (6a b + 219a b + 185a b )cosh(x) +--R + +--R 2 5 4 3 6 6 3 4 5 2 7 +--R (- 28a b + 150a b + 136a b)cosh(x) - a b - 34a b + 3a b + 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 6 3 4 5 2 5 4 3 4 +--R (- 4a b - 4a b )cosh(x) + (8a b - 12a b )cosh(x) +--R + +--R 6 3 4 5 2 3 +--R (8a b + 152a b + 92a b )cosh(x) +--R + +--R 2 5 4 3 6 2 +--R (- 8a b + 232a b + 160a b)cosh(x) +--R + +--R 6 3 4 5 2 7 4 3 6 +--R (- 4a b - 76a b + 44a b + 48a )cosh(x) - 28a b - 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 3 4 6 2 5 4 3 5 +--R (- a b - a b )cosh(x) + (- 6a b - 26a b )cosh(x) +--R + +--R 6 3 4 5 2 4 +--R (3a b + 42a b - 19a b )cosh(x) +--R + +--R 2 5 4 3 6 3 +--R (12a b + 164a b + 64a b)cosh(x) +--R + +--R 6 3 4 5 2 7 2 +--R (- 3a b - 45a b + 98a b + 48a )cosh(x) +--R + +--R 2 5 4 3 6 6 3 4 5 2 +--R (- 6a b - 66a b - 8a b)cosh(x) + a b + 4a b - 7a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 5 4 3 6 5 2 5 +--R (- 2a b - 12a b )cosh(x) - 34a b cosh(x) +--R + +--R 2 5 4 3 6 4 5 2 7 3 +--R (6a b + 52a b - 8a b)cosh(x) + (76a b + 16a )cosh(x) +--R + +--R 2 5 4 3 6 2 5 2 2 5 4 3 +--R (- 6a b - 44a b + 8a b)cosh(x) - 18a b cosh(x) + 2a b + 4a b +--R * +--R sinh(x) +--R + +--R 4 3 7 3 4 5 2 6 4 3 6 5 +--R - 2a b cosh(x) + (- a b - 9a b )cosh(x) + (6a b - 8a b)cosh(x) +--R + +--R 3 4 5 2 4 4 3 6 3 +--R (3a b + 19a b )cosh(x) + (- 6a b + 8a b)cosh(x) +--R + +--R 3 4 5 2 2 4 3 3 4 5 2 +--R (- 3a b - 11a b )cosh(x) + 2a b cosh(x) + a b + a b +--R / +--R 8 3 6 7 +--R (2a b + 2a b )sinh(x) +--R + +--R 8 3 6 2 7 4 5 6 +--R ((10a b + 10a b )cosh(x) + 12a b + 12a b )sinh(x) +--R + +--R 8 3 6 2 2 7 4 5 8 +--R (20a b + 20a b )cosh(x) + (52a b + 52a b )cosh(x) - 4a b +--R + +--R 3 6 5 4 +--R 22a b + 26a b +--R * +--R 5 +--R sinh(x) +--R + +--R 8 3 6 3 2 7 4 5 2 +--R (20a b + 20a b )cosh(x) + (88a b + 88a b )cosh(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 +--R (- 12a b + 86a b + 98a b )cosh(x) - 16a b + 8a b + 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 8 3 6 4 2 7 4 5 3 +--R (10a b + 10a b )cosh(x) + (72a b + 72a b )cosh(x) +--R + +--R 8 3 6 5 4 2 +--R (- 12a b + 128a b + 140a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 +--R (- 40a b + 40a b + 80a b )cosh(x) + 2a b - 18a b - 12a b +--R + +--R 7 2 +--R 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 3 6 5 2 7 4 5 4 +--R (2a b + 2a b )cosh(x) + (28a b + 28a b )cosh(x) +--R + +--R 8 3 6 5 4 3 +--R (- 4a b + 88a b + 92a b )cosh(x) +--R + +--R 2 7 4 5 6 3 2 +--R (- 32a b + 64a b + 96a b )cosh(x) +--R + +--R 8 3 6 5 4 7 2 2 7 4 5 6 3 +--R (2a b - 42a b - 20a b + 24a b )cosh(x) + 4a b - 4a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 4 5 5 3 6 5 4 4 +--R (4a b + 4a b )cosh(x) + (26a b + 26a b )cosh(x) +--R + +--R 2 7 4 5 6 3 3 +--R (- 8a b + 40a b + 48a b )cosh(x) +--R + +--R 3 6 5 4 7 2 2 +--R (- 28a b - 4a b + 24a b )cosh(x) +--R + +--R 2 7 4 5 6 3 3 6 5 4 +--R (4a b - 12a b - 16a b )cosh(x) + 2a b + 2a b +--R * +--R sinh(x) +--R + +--R 3 6 5 4 5 4 5 6 3 4 +--R (2a b + 2a b )cosh(x) + (8a b + 8a b )cosh(x) +--R + +--R 3 6 5 4 7 2 3 4 5 6 3 2 +--R (- 4a b + 4a b + 8a b )cosh(x) + (- 8a b - 8a b )cosh(x) +--R + +--R 3 6 5 4 +--R (2a b + 2a b )cosh(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 9 2 7 7 +--R (- 4b - 4a b )sinh(x) +--R + +--R 9 2 7 8 3 6 6 +--R ((- 20b - 20a b )cosh(x) - 24a b - 24a b )sinh(x) +--R + +--R 9 2 7 2 8 3 6 9 +--R (- 40b - 40a b )cosh(x) + (- 104a b - 104a b )cosh(x) + 8b +--R + +--R 2 7 4 5 +--R - 44a b - 52a b +--R * +--R 5 +--R sinh(x) +--R + +--R 9 2 7 3 8 3 6 2 +--R (- 40b - 40a b )cosh(x) + (- 176a b - 176a b )cosh(x) +--R + +--R 9 2 7 4 5 8 3 6 5 4 +--R (24b - 172a b - 196a b )cosh(x) + 32a b - 16a b - 48a b +--R * +--R 4 +--R sinh(x) +--R + +--R 9 2 7 4 8 3 6 3 +--R (- 20b - 20a b )cosh(x) + (- 144a b - 144a b )cosh(x) +--R + +--R 9 2 7 4 5 2 +--R (24b - 256a b - 280a b )cosh(x) +--R + +--R 8 3 6 5 4 9 2 7 4 5 6 3 +--R (80a b - 80a b - 160a b )cosh(x) - 4b + 36a b + 24a b - 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 9 2 7 5 8 3 6 4 +--R (- 4b - 4a b )cosh(x) + (- 56a b - 56a b )cosh(x) +--R + +--R 9 2 7 4 5 3 +--R (8b - 176a b - 184a b )cosh(x) +--R + +--R 8 3 6 5 4 2 +--R (64a b - 128a b - 192a b )cosh(x) +--R + +--R 9 2 7 4 5 6 3 8 3 6 5 4 +--R (- 4b + 84a b + 40a b - 48a b )cosh(x) - 8a b + 8a b + 16a b +--R * +--R 2 +--R sinh(x) +--R + +--R 8 3 6 5 2 7 4 5 4 +--R (- 8a b - 8a b )cosh(x) + (- 52a b - 52a b )cosh(x) +--R + +--R 8 3 6 5 4 3 +--R (16a b - 80a b - 96a b )cosh(x) +--R + +--R 2 7 4 5 6 3 2 +--R (56a b + 8a b - 48a b )cosh(x) +--R + +--R 8 3 6 5 4 2 7 4 5 +--R (- 8a b + 24a b + 32a b )cosh(x) - 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 2 7 4 5 5 3 6 5 4 4 +--R (- 4a b - 4a b )cosh(x) + (- 16a b - 16a b )cosh(x) +--R + +--R 2 7 4 5 6 3 3 3 6 5 4 2 +--R (8a b - 8a b - 16a b )cosh(x) + (16a b + 16a b )cosh(x) +--R + +--R 2 7 4 5 +--R (- 4a b - 4a b )cosh(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 8 3 6 7 +--R (- 2a b - 2a b )sinh(x) +--R + +--R 8 3 6 2 7 4 5 6 +--R ((- 10a b - 10a b )cosh(x) - 12a b - 12a b )sinh(x) +--R + +--R 8 3 6 2 2 7 4 5 8 +--R (- 20a b - 20a b )cosh(x) + (- 52a b - 52a b )cosh(x) + 4a b +--R + +--R 3 6 5 4 +--R - 22a b - 26a b +--R * +--R 5 +--R sinh(x) +--R + +--R 8 3 6 3 2 7 4 5 2 +--R (- 20a b - 20a b )cosh(x) + (- 88a b - 88a b )cosh(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 +--R (12a b - 86a b - 98a b )cosh(x) + 16a b - 8a b - 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 8 3 6 4 2 7 4 5 3 +--R (- 10a b - 10a b )cosh(x) + (- 72a b - 72a b )cosh(x) +--R + +--R 8 3 6 5 4 2 +--R (12a b - 128a b - 140a b )cosh(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 7 2 +--R (40a b - 40a b - 80a b )cosh(x) - 2a b + 18a b + 12a b - 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 3 6 5 2 7 4 5 4 +--R (- 2a b - 2a b )cosh(x) + (- 28a b - 28a b )cosh(x) +--R + +--R 8 3 6 5 4 3 +--R (4a b - 88a b - 92a b )cosh(x) +--R + +--R 2 7 4 5 6 3 2 +--R (32a b - 64a b - 96a b )cosh(x) +--R + +--R 8 3 6 5 4 7 2 2 7 4 5 6 3 +--R (- 2a b + 42a b + 20a b - 24a b )cosh(x) - 4a b + 4a b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 4 5 5 3 6 5 4 4 +--R (- 4a b - 4a b )cosh(x) + (- 26a b - 26a b )cosh(x) +--R + +--R 2 7 4 5 6 3 3 3 6 5 4 7 2 2 +--R (8a b - 40a b - 48a b )cosh(x) + (28a b + 4a b - 24a b )cosh(x) +--R + +--R 2 7 4 5 6 3 3 6 5 4 +--R (- 4a b + 12a b + 16a b )cosh(x) - 2a b - 2a b +--R * +--R sinh(x) +--R + +--R 3 6 5 4 5 4 5 6 3 4 +--R (- 2a b - 2a b )cosh(x) + (- 8a b - 8a b )cosh(x) +--R + +--R 3 6 5 4 7 2 3 4 5 6 3 2 +--R (4a b - 4a b - 8a b )cosh(x) + (8a b + 8a b )cosh(x) +--R + +--R 3 6 5 4 +--R (- 2a b - 2a b )cosh(x) +--R Type: Expression Integer +--E 45 + +--S 46 of 552 +t0709:= sinh(x)^4/(a+b*sinh(x))^2 +--R +--R +--R 4 +--R sinh(x) +--R (46) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 46 + +--S 47 of 552 +r0709:= 3*a^2*x/b^4-1/2*x/b^2-2*a^5*atanh((b-a*tanh(1/2*x))/_ + (a^2+b^2)^(1/2))/b^4/(a^2+b^2)^(3/2)+_ + 8*a^3*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/b^4/(a^2+b^2)^(1/2)-_ + 2*a*cosh(x)/b^3+1/2*cosh(x)*sinh(x)/b^2-_ + a^4*cosh(x)/b^3/(a^2+b^2)/(a+b*sinh(x)) +--R +--R +--R (47) +--R x +--R a tanh(-) - b +--R 3 3 5 4 2 6 2 +--R ((- 16a b - 12a b)sinh(x) - 16a b - 12a )atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 5 2 3 2 +--R (b + a b )cosh(x)sinh(x) +--R + +--R 4 3 2 5 2 3 4 +--R ((- 3a b - 3a b )cosh(x) + (- b + 5a b + 6a b)x)sinh(x) +--R + +--R 2 3 4 4 3 2 5 +--R (- 4a b - 6a b)cosh(x) + (- a b + 5a b + 6a )x +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R +-------+ +--R 7 2 5 6 3 4 | 2 2 +--R ((2b + 2a b )sinh(x) + 2a b + 2a b )\|b + a +--R Type: Expression Integer +--E 47 + +--S 48 of 552 +a0709:= integrate(t0709,x) +--R +--R +--R (48) +--R 3 3 5 4 +--R (32a b + 24a b)sinh(x) +--R + +--R 3 3 5 4 2 6 3 +--R ((128a b + 96a b)cosh(x) + 64a b + 48a )sinh(x) +--R + +--R 3 3 5 2 4 2 6 3 3 +--R (192a b + 144a b)cosh(x) + (192a b + 144a )cosh(x) - 32a b +--R + +--R 5 +--R - 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 3 5 3 4 2 6 2 +--R (128a b + 96a b)cosh(x) + (192a b + 144a )cosh(x) +--R + +--R 3 3 5 +--R (- 64a b - 48a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 3 3 5 4 4 2 6 3 +--R (32a b + 24a b)cosh(x) + (64a b + 48a )cosh(x) +--R + +--R 3 3 5 2 +--R (- 32a b - 24a b)cosh(x) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 5 2 3 6 5 2 3 4 3 2 5 +--R (b + a b )sinh(x) + ((6b + 6a b )cosh(x) - 6a b - 6a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 +--R (15b + 15a b )cosh(x) + (- 30a b - 30a b )cosh(x) +--R + +--R 5 2 3 4 5 2 3 4 +--R (- 4b + 20a b + 24a b)x - b - 17a b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 3 3 4 3 2 2 +--R (20b + 20a b )cosh(x) + (- 60a b - 60a b )cosh(x) +--R + +--R 5 2 3 4 5 2 3 4 +--R ((- 16b + 80a b + 96a b)x - 4b - 68a b - 64a b)cosh(x) +--R + +--R 4 3 2 5 5 +--R (- 8a b + 40a b + 48a )x + 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 3 4 4 3 2 3 +--R (15b + 15a b )cosh(x) + (- 60a b - 60a b )cosh(x) +--R + +--R 5 2 3 4 5 2 3 4 2 +--R ((- 24b + 120a b + 144a b)x - 6b - 102a b - 96a b)cosh(x) +--R + +--R 4 3 2 5 5 +--R ((- 24a b + 120a b + 144a )x + 48a )cosh(x) +--R + +--R 5 2 3 4 5 2 3 4 +--R (4b - 20a b - 24a b)x - b - 17a b - 32a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 5 4 3 2 4 +--R (6b + 6a b )cosh(x) + (- 30a b - 30a b )cosh(x) +--R + +--R 5 2 3 4 5 2 3 4 3 +--R ((- 16b + 80a b + 96a b)x - 4b - 68a b - 64a b)cosh(x) +--R + +--R 4 3 2 5 5 2 +--R ((- 24a b + 120a b + 144a )x + 48a )cosh(x) +--R + +--R 5 2 3 4 5 2 3 4 4 +--R ((8b - 40a b - 48a b)x - 2b - 34a b - 64a b)cosh(x) + 6a b +--R + +--R 3 2 +--R 6a b +--R * +--R sinh(x) +--R + +--R 5 2 3 6 4 3 2 5 +--R (b + a b )cosh(x) + (- 6a b - 6a b )cosh(x) +--R + +--R 5 2 3 4 5 2 3 4 4 +--R ((- 4b + 20a b + 24a b)x - b - 17a b - 16a b)cosh(x) +--R + +--R 4 3 2 5 5 3 +--R ((- 8a b + 40a b + 48a )x + 16a )cosh(x) +--R + +--R 5 2 3 4 5 2 3 4 2 +--R ((4b - 20a b - 24a b)x - b - 17a b - 32a b)cosh(x) +--R + +--R 4 3 2 5 2 3 +--R (6a b + 6a b )cosh(x) + b + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 7 2 5 4 +--R (8b + 8a b )sinh(x) +--R + +--R 7 2 5 6 3 4 3 +--R ((32b + 32a b )cosh(x) + 16a b + 16a b )sinh(x) +--R + +--R 7 2 5 2 6 3 4 7 2 5 +--R ((48b + 48a b )cosh(x) + (48a b + 48a b )cosh(x) - 8b - 8a b ) +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 5 3 6 3 4 2 +--R (32b + 32a b )cosh(x) + (48a b + 48a b )cosh(x) +--R + +--R 7 2 5 +--R (- 16b - 16a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 7 2 5 4 6 3 4 3 +--R (8b + 8a b )cosh(x) + (16a b + 16a b )cosh(x) +--R + +--R 7 2 5 2 +--R (- 8b - 8a b )cosh(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 48 + +--S 49 of 552 +m0709:= a0709-r0709 +--R +--R +--R (49) +--R 3 4 5 2 5 +--R (32a b + 24a b )sinh(x) +--R + +--R 3 4 5 2 4 3 6 4 +--R ((128a b + 96a b )cosh(x) + 96a b + 72a b)sinh(x) +--R + +--R 3 4 5 2 2 4 3 6 3 4 +--R (192a b + 144a b )cosh(x) + (320a b + 240a b)cosh(x) - 32a b +--R + +--R 5 2 7 +--R 40a b + 48a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 5 2 3 4 3 6 2 +--R (128a b + 96a b )cosh(x) + (384a b + 288a b)cosh(x) +--R + +--R 3 4 5 2 7 4 3 6 +--R (- 64a b + 144a b + 144a )cosh(x) - 32a b - 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 5 2 4 4 3 6 3 +--R (32a b + 24a b )cosh(x) + (192a b + 144a b)cosh(x) +--R + +--R 3 4 5 2 7 2 4 3 6 +--R (- 32a b + 168a b + 144a )cosh(x) + (- 64a b - 48a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 6 4 5 2 7 3 +--R (32a b + 24a b)cosh(x) + (64a b + 48a )cosh(x) +--R + +--R 4 3 6 2 +--R (- 32a b - 24a b)cosh(x) +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 3 4 5 2 5 +--R (64a b + 48a b )sinh(x) +--R + +--R 3 4 5 2 4 3 6 4 +--R ((256a b + 192a b )cosh(x) + 192a b + 144a b)sinh(x) +--R + +--R 3 4 5 2 2 4 3 6 3 4 +--R (384a b + 288a b )cosh(x) + (640a b + 480a b)cosh(x) - 64a b +--R + +--R 5 2 7 +--R 80a b + 96a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 5 2 3 4 3 6 2 +--R (256a b + 192a b )cosh(x) + (768a b + 576a b)cosh(x) +--R + +--R 3 4 5 2 7 4 3 6 +--R (- 128a b + 288a b + 288a )cosh(x) - 64a b - 48a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 5 2 4 4 3 6 3 +--R (64a b + 48a b )cosh(x) + (384a b + 288a b)cosh(x) +--R + +--R 3 4 5 2 7 2 4 3 6 +--R (- 64a b + 336a b + 288a )cosh(x) + (- 128a b - 96a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 6 4 5 2 7 3 +--R (64a b + 48a b)cosh(x) + (128a b + 96a )cosh(x) +--R + +--R 4 3 6 2 +--R (- 64a b - 48a b)cosh(x) +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 6 2 4 7 6 2 4 5 3 3 6 +--R (b + a b )sinh(x) + ((2b + 2a b )cosh(x) - 5a b - 5a b )sinh(x) +--R + +--R 6 2 4 2 5 3 3 6 2 4 +--R (- b - a b )cosh(x) + (- 20a b - 20a b )cosh(x) - b - 23a b +--R + +--R 4 2 +--R - 22a b +--R * +--R 5 +--R sinh(x) +--R + +--R 6 2 4 3 5 3 3 2 +--R (- 4b - 4a b )cosh(x) + (- 21a b - 21a b )cosh(x) +--R + +--R 2 4 4 2 5 3 3 +--R (- 54a b - 46a b )cosh(x) - a b - 17a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 2 4 4 5 3 3 3 +--R (- b - a b )cosh(x) + (8a b + 8a b )cosh(x) +--R + +--R 6 2 4 4 2 2 +--R (2b - 18a b + 12a b )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 +--R (- 16a b - 48a b + 32a b)cosh(x) - b - 17a b - 32a b + 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 5 5 3 3 4 +--R (2b + 2a b )cosh(x) + (25a b + 25a b )cosh(x) +--R + +--R 2 4 4 2 3 5 3 3 5 2 +--R (44a b + 92a b )cosh(x) + (- 30a b - 30a b + 96a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 3 3 5 +--R (- 2b - 50a b - 88a b + 48a )cosh(x) + 5a b - 11a b - 32a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 6 5 3 3 5 +--R (b + a b )cosh(x) + (12a b + 12a b )cosh(x) +--R + +--R 6 2 4 4 2 4 +--R (- b + 41a b + 74a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 16a b + 16a b + 96a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 +--R (- b - 49a b - 80a b + 48a )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 +--R (4a b - 28a b - 64a b)cosh(x) + b + 7a b + 6a b +--R * +--R sinh(x) +--R + +--R 5 3 3 6 2 4 4 2 5 +--R (a b + a b )cosh(x) + (10a b + 18a b )cosh(x) +--R + +--R 5 3 3 5 4 +--R (- a b + 15a b + 32a b)cosh(x) +--R + +--R 2 4 4 2 6 3 +--R (- 16a b - 24a b + 16a )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 5 +--R (- a b - 17a b - 32a b)cosh(x) + (6a b + 6a b )cosh(x) + a b +--R + +--R 3 3 +--R a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 8 2 6 5 +--R (8b + 8a b )sinh(x) +--R + +--R 8 2 6 7 3 5 4 +--R ((32b + 32a b )cosh(x) + 24a b + 24a b )sinh(x) +--R + +--R 8 2 6 2 7 3 5 8 2 6 +--R (48b + 48a b )cosh(x) + (80a b + 80a b )cosh(x) - 8b + 8a b +--R + +--R 4 4 +--R 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 2 6 3 7 3 5 2 +--R (32b + 32a b )cosh(x) + (96a b + 96a b )cosh(x) +--R + +--R 8 2 6 4 4 7 3 5 +--R (- 16b + 32a b + 48a b )cosh(x) - 8a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 8 2 6 4 7 3 5 3 +--R (8b + 8a b )cosh(x) + (48a b + 48a b )cosh(x) +--R + +--R 8 2 6 4 4 2 7 3 5 +--R (- 8b + 40a b + 48a b )cosh(x) + (- 16a b - 16a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 7 3 5 4 2 6 4 4 3 +--R (8a b + 8a b )cosh(x) + (16a b + 16a b )cosh(x) +--R + +--R 7 3 5 2 +--R (- 8a b - 8a b )cosh(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 49 + +--S 50 of 552 +d0709:= D(m0709,x) +--R +--R +--R (50) +--R 7 3 5 10 +--R (- a b - a b )sinh(x) +--R + +--R 7 3 5 2 6 4 4 9 +--R ((- 4a b - 4a b )cosh(x) - 2a b - 2a b )sinh(x) +--R + +--R 7 3 5 2 7 3 5 5 3 8 +--R ((- 4a b - 4a b )cosh(x) + 2a b + 29a b + 27a b )sinh(x) +--R + +--R 7 3 5 3 2 6 4 4 2 +--R (4a b + 4a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 7 3 5 5 3 2 6 4 4 6 2 +--R (4a b + 168a b + 164a b )cosh(x) + 4a b + 108a b + 100a b +--R * +--R 7 +--R sinh(x) +--R + +--R 7 3 5 4 2 6 4 4 3 +--R (10a b + 10a b )cosh(x) + (48a b + 48a b )cosh(x) +--R + +--R 7 3 5 5 3 2 +--R (- 2a b + 382a b + 380a b )cosh(x) +--R + +--R 2 6 4 4 6 2 3 5 5 3 7 +--R (8a b + 528a b + 496a b )cosh(x) - 30a b + 110a b + 120a b +--R * +--R 6 +--R sinh(x) +--R + +--R 7 3 5 5 2 6 4 4 4 +--R (4a b + 4a b )cosh(x) + (20a b + 20a b )cosh(x) +--R + +--R 7 3 5 5 3 3 +--R (- 8a b + 412a b + 396a b )cosh(x) +--R + +--R 2 6 4 4 6 2 2 +--R (12a b + 1044a b + 956a b )cosh(x) +--R + +--R 7 3 5 5 3 7 4 4 6 2 8 +--R (4a b - 88a b + 540a b + 528a b)cosh(x) - 80a b + 8a b + 48a +--R * +--R 5 +--R sinh(x) +--R + +--R 7 3 5 6 2 6 4 4 5 +--R (- 4a b - 4a b )cosh(x) + (- 32a b - 32a b )cosh(x) +--R + +--R 7 3 5 5 3 4 +--R (- 2a b + 172a b + 114a b )cosh(x) +--R + +--R 2 6 4 4 6 2 3 +--R (32a b + 1032a b + 840a b )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (8a b - 58a b + 1066a b + 888a b)cosh(x) +--R + +--R 4 4 6 2 8 7 3 5 5 3 +--R (- 240a b + 128a b + 192a )cosh(x) - 2a b + 2a b - 60a b +--R + +--R 7 +--R - 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 3 5 7 2 6 4 4 6 +--R (- 4a b - 4a b )cosh(x) + (- 40a b - 40a b )cosh(x) +--R + +--R 7 3 5 5 3 5 +--R (4a b - 48a b - 132a b )cosh(x) +--R + +--R 2 6 4 4 6 2 4 +--R (44a b + 484a b + 220a b )cosh(x) +--R + +--R 7 3 5 5 3 7 3 +--R (4a b + 60a b + 1064a b + 672a b)cosh(x) +--R + +--R 4 4 6 2 8 2 +--R (- 224a b + 384a b + 288a )cosh(x) +--R + +--R 7 3 5 5 3 7 2 6 4 4 6 2 +--R (- 4a b - 8a b - 196a b - 48a b)cosh(x) - 4a b + 4a b - 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 3 5 8 2 6 4 4 7 +--R (- a b - a b )cosh(x) + (- 16a b - 16a b )cosh(x) +--R + +--R 7 3 5 5 3 6 +--R (2a b - 70a b - 132a b )cosh(x) +--R + +--R 2 6 4 4 6 2 5 +--R (24a b + 48a b - 160a b )cosh(x) +--R + +--R 3 5 5 3 7 4 +--R (94a b + 546a b + 168a b)cosh(x) +--R + +--R 4 4 6 2 8 3 +--R (- 32a b + 464a b + 192a )cosh(x) +--R + +--R 7 3 5 5 3 2 2 6 6 2 +--R (- 2a b - 22a b - 216a b )cosh(x) + (- 8a b - 48a b )cosh(x) +--R + +--R 7 3 5 5 3 +--R a b - a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 6 4 4 8 3 5 5 3 7 +--R (- 2a b - 2a b )cosh(x) + (- 20a b - 44a b )cosh(x) +--R + +--R 2 6 4 4 6 2 6 +--R (4a b - 36a b - 124a b )cosh(x) +--R + +--R 3 5 5 3 7 5 +--R (36a b + 124a b - 48a b)cosh(x) +--R + +--R 4 4 6 2 8 4 +--R (48a b + 248a b + 48a )cosh(x) +--R + +--R 3 5 5 3 7 3 +--R (- 12a b - 84a b + 48a b)cosh(x) +--R + +--R 2 6 4 4 6 2 2 3 5 5 3 +--R (- 4a b - 12a b - 60a b )cosh(x) + (- 4a b + 4a b )cosh(x) +--R + +--R 2 6 4 4 +--R 2a b + 2a b +--R * +--R sinh(x) +--R + +--R 3 5 5 3 8 4 4 6 2 7 +--R (- a b - 5a b )cosh(x) + (- 8a b - 24a b )cosh(x) +--R + +--R 3 5 5 3 7 6 4 4 6 2 5 +--R (2a b + 6a b - 24a b)cosh(x) + (16a b + 48a b )cosh(x) +--R + +--R 5 3 7 4 4 4 6 2 3 +--R (- 4a b + 24a b)cosh(x) + (- 8a b - 24a b )cosh(x) +--R + +--R 3 5 5 3 2 3 5 5 3 +--R (- 2a b + 2a b )cosh(x) + a b + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 8 2 6 10 +--R (2b + 2a b )sinh(x) +--R + +--R 8 2 6 7 3 5 9 +--R ((8b + 8a b )cosh(x) + 4a b + 4a b )sinh(x) +--R + +--R 8 2 6 2 8 2 6 4 4 8 +--R ((8b + 8a b )cosh(x) - 4b - 26a b - 30a b )sinh(x) +--R + +--R 8 2 6 3 7 3 5 2 +--R (- 8b - 8a b )cosh(x) + (- 48a b - 48a b )cosh(x) +--R + +--R 8 2 6 4 4 7 3 5 5 3 +--R (- 8b - 144a b - 184a b )cosh(x) - 8a b - 24a b - 56a b +--R * +--R 7 +--R sinh(x) +--R + +--R 8 2 6 4 7 3 5 3 +--R (- 20b - 20a b )cosh(x) + (- 96a b - 96a b )cosh(x) +--R + +--R 8 2 6 4 4 2 +--R (4b - 284a b - 400a b )cosh(x) +--R + +--R 7 3 5 5 3 2 6 4 4 6 2 +--R (- 16a b - 32a b - 224a b )cosh(x) - 4a b + 148a b + 72a b +--R * +--R 6 +--R sinh(x) +--R + +--R 8 2 6 5 7 3 5 4 +--R (- 8b - 8a b )cosh(x) + (- 40a b - 40a b )cosh(x) +--R + +--R 8 2 6 4 4 3 +--R (16b - 184a b - 312a b )cosh(x) +--R + +--R 7 3 5 5 3 2 +--R (- 24a b + 152a b - 232a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 3 5 5 3 +--R (- 8b - 80a b + 712a b + 432a b )cosh(x) - 96a b + 176a b +--R + +--R 7 +--R 192a b +--R * +--R 5 +--R sinh(x) +--R + +--R 8 2 6 6 7 3 5 5 +--R (8b + 8a b )cosh(x) + (64a b + 64a b )cosh(x) +--R + +--R 8 2 6 4 4 4 +--R (4b + 136a b + 132a b )cosh(x) +--R + +--R 7 3 5 5 3 3 +--R (- 64a b + 496a b + 240a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 2 +--R (- 16b - 268a b + 1388a b + 1080a b )cosh(x) +--R + +--R 3 5 5 3 7 8 2 6 4 4 +--R (- 416a b + 736a b + 864a b)cosh(x) + 4b + 28a b - 176a b +--R + +--R 6 2 8 +--R - 64a b + 96a +--R * +--R 4 +--R sinh(x) +--R + +--R 8 2 6 7 7 3 5 6 +--R (8b + 8a b )cosh(x) + (80a b + 80a b )cosh(x) +--R + +--R 8 2 6 4 4 5 +--R (- 8b + 288a b + 408a b )cosh(x) +--R + +--R 7 3 5 5 3 4 +--R (- 88a b + 632a b + 760a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 3 +--R (- 8b - 376a b + 1392a b + 1440a b )cosh(x) +--R + +--R 3 5 5 3 7 2 +--R (- 704a b + 1184a b + 1536a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 7 +--R (8b + 80a b - 584a b - 160a b + 384a )cosh(x) + 8a b +--R + +--R 3 5 5 3 7 +--R 56a b - 56a b - 96a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 2 6 8 7 3 5 7 +--R (2b + 2a b )cosh(x) + (32a b + 32a b )cosh(x) +--R + +--R 8 2 6 4 4 6 +--R (- 4b + 172a b + 288a b )cosh(x) +--R + +--R 7 3 5 5 3 5 +--R (- 48a b + 416a b + 704a b )cosh(x) +--R + +--R 2 6 4 4 6 2 4 +--R (- 252a b + 748a b + 1080a b )cosh(x) +--R + +--R 3 5 5 3 7 3 +--R (- 576a b + 896a b + 1344a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 2 +--R (4b + 76a b - 696a b - 96a b + 576a )cosh(x) +--R + +--R 7 3 5 5 3 7 8 2 6 +--R (16a b + 128a b - 192a b - 288a b)cosh(x) - 2b + 2a b +--R + +--R 4 4 6 2 +--R 28a b + 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 3 5 8 2 6 4 4 7 +--R (4a b + 4a b )cosh(x) + (40a b + 88a b )cosh(x) +--R + +--R 7 3 5 5 3 6 +--R (- 8a b + 136a b + 296a b )cosh(x) +--R + +--R 2 6 4 4 6 2 5 +--R (- 72a b + 200a b + 432a b )cosh(x) +--R + +--R 3 5 5 3 7 4 +--R (- 224a b + 304a b + 576a b)cosh(x) +--R + +--R 2 6 4 4 6 2 8 3 +--R (24a b - 344a b + 32a b + 384a )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (8a b + 88a b - 216a b - 288a b)cosh(x) +--R + +--R 2 6 4 4 6 2 7 3 5 +--R (8a b + 56a b + 48a b )cosh(x) - 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 2 6 4 4 8 3 5 5 3 7 +--R (2a b + 10a b )cosh(x) + (16a b + 48a b )cosh(x) +--R + +--R 2 6 4 4 6 2 6 +--R (- 4a b + 20a b + 72a b )cosh(x) +--R + +--R 3 5 5 3 7 5 +--R (- 32a b + 32a b + 96a b)cosh(x) +--R + +--R 4 4 6 2 8 4 +--R (- 56a b + 32a b + 96a )cosh(x) +--R + +--R 3 5 5 3 7 3 2 6 4 4 6 2 2 +--R (16a b - 80a b - 96a b)cosh(x) + (4a b + 28a b + 24a b )cosh(x) +--R + +--R 2 6 4 4 +--R - 2a b - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 7 3 5 10 7 3 5 2 6 4 4 9 +--R (a b + a b )sinh(x) + ((4a b + 4a b )cosh(x) + 2a b + 2a b )sinh(x) +--R + +--R 7 3 5 2 7 3 5 5 3 8 +--R ((4a b + 4a b )cosh(x) - 2a b - 29a b - 27a b )sinh(x) +--R + +--R 7 3 5 3 2 6 4 4 2 +--R (- 4a b - 4a b )cosh(x) + (- 24a b - 24a b )cosh(x) +--R + +--R 7 3 5 5 3 2 6 4 4 6 2 +--R (- 4a b - 168a b - 164a b )cosh(x) - 4a b - 108a b - 100a b +--R * +--R 7 +--R sinh(x) +--R + +--R 7 3 5 4 2 6 4 4 3 +--R (- 10a b - 10a b )cosh(x) + (- 48a b - 48a b )cosh(x) +--R + +--R 7 3 5 5 3 2 +--R (2a b - 382a b - 380a b )cosh(x) +--R + +--R 2 6 4 4 6 2 3 5 5 3 7 +--R (- 8a b - 528a b - 496a b )cosh(x) + 30a b - 110a b - 120a b +--R * +--R 6 +--R sinh(x) +--R + +--R 7 3 5 5 2 6 4 4 4 +--R (- 4a b - 4a b )cosh(x) + (- 20a b - 20a b )cosh(x) +--R + +--R 7 3 5 5 3 3 +--R (8a b - 412a b - 396a b )cosh(x) +--R + +--R 2 6 4 4 6 2 2 +--R (- 12a b - 1044a b - 956a b )cosh(x) +--R + +--R 7 3 5 5 3 7 4 4 6 2 8 +--R (- 4a b + 88a b - 540a b - 528a b)cosh(x) + 80a b - 8a b - 48a +--R * +--R 5 +--R sinh(x) +--R + +--R 7 3 5 6 2 6 4 4 5 +--R (4a b + 4a b )cosh(x) + (32a b + 32a b )cosh(x) +--R + +--R 7 3 5 5 3 4 +--R (2a b - 172a b - 114a b )cosh(x) +--R + +--R 2 6 4 4 6 2 3 +--R (- 32a b - 1032a b - 840a b )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (- 8a b + 58a b - 1066a b - 888a b)cosh(x) +--R + +--R 4 4 6 2 8 7 3 5 5 3 7 +--R (240a b - 128a b - 192a )cosh(x) + 2a b - 2a b + 60a b + 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 3 5 7 2 6 4 4 6 +--R (4a b + 4a b )cosh(x) + (40a b + 40a b )cosh(x) +--R + +--R 7 3 5 5 3 5 +--R (- 4a b + 48a b + 132a b )cosh(x) +--R + +--R 2 6 4 4 6 2 4 +--R (- 44a b - 484a b - 220a b )cosh(x) +--R + +--R 7 3 5 5 3 7 3 +--R (- 4a b - 60a b - 1064a b - 672a b)cosh(x) +--R + +--R 4 4 6 2 8 2 +--R (224a b - 384a b - 288a )cosh(x) +--R + +--R 7 3 5 5 3 7 2 6 4 4 6 2 +--R (4a b + 8a b + 196a b + 48a b)cosh(x) + 4a b - 4a b + 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 3 5 8 2 6 4 4 7 +--R (a b + a b )cosh(x) + (16a b + 16a b )cosh(x) +--R + +--R 7 3 5 5 3 6 +--R (- 2a b + 70a b + 132a b )cosh(x) +--R + +--R 2 6 4 4 6 2 5 +--R (- 24a b - 48a b + 160a b )cosh(x) +--R + +--R 3 5 5 3 7 4 +--R (- 94a b - 546a b - 168a b)cosh(x) +--R + +--R 4 4 6 2 8 3 +--R (32a b - 464a b - 192a )cosh(x) +--R + +--R 7 3 5 5 3 2 2 6 6 2 7 +--R (2a b + 22a b + 216a b )cosh(x) + (8a b + 48a b )cosh(x) - a b +--R + +--R 3 5 5 3 +--R a b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 6 4 4 8 3 5 5 3 7 +--R (2a b + 2a b )cosh(x) + (20a b + 44a b )cosh(x) +--R + +--R 2 6 4 4 6 2 6 +--R (- 4a b + 36a b + 124a b )cosh(x) +--R + +--R 3 5 5 3 7 5 +--R (- 36a b - 124a b + 48a b)cosh(x) +--R + +--R 4 4 6 2 8 4 +--R (- 48a b - 248a b - 48a )cosh(x) +--R + +--R 3 5 5 3 7 3 2 6 4 4 6 2 2 +--R (12a b + 84a b - 48a b)cosh(x) + (4a b + 12a b + 60a b )cosh(x) +--R + +--R 3 5 5 3 2 6 4 4 +--R (4a b - 4a b )cosh(x) - 2a b - 2a b +--R * +--R sinh(x) +--R + +--R 3 5 5 3 8 4 4 6 2 7 +--R (a b + 5a b )cosh(x) + (8a b + 24a b )cosh(x) +--R + +--R 3 5 5 3 7 6 4 4 6 2 5 +--R (- 2a b - 6a b + 24a b)cosh(x) + (- 16a b - 48a b )cosh(x) +--R + +--R 5 3 7 4 4 4 6 2 3 +--R (4a b - 24a b)cosh(x) + (8a b + 24a b )cosh(x) +--R + +--R 3 5 5 3 2 3 5 5 3 +--R (2a b - 2a b )cosh(x) - a b - a b +--R / +--R 9 3 7 8 +--R (4a b + 4a b )sinh(x) +--R + +--R 9 3 7 2 8 4 6 7 +--R ((24a b + 24a b )cosh(x) + 24a b + 24a b )sinh(x) +--R + +--R 9 3 7 2 2 8 4 6 9 +--R (60a b + 60a b )cosh(x) + (128a b + 128a b )cosh(x) - 8a b +--R + +--R 3 7 5 5 +--R 44a b + 52a b +--R * +--R 6 +--R sinh(x) +--R + +--R 9 3 7 3 2 8 4 6 2 +--R (80a b + 80a b )cosh(x) + (280a b + 280a b )cosh(x) +--R + +--R 9 3 7 5 5 2 8 4 6 6 4 +--R (- 32a b + 216a b + 248a b )cosh(x) - 32a b + 16a b + 48a b +--R * +--R 5 +--R sinh(x) +--R + +--R 9 3 7 4 2 8 4 6 3 +--R (60a b + 60a b )cosh(x) + (320a b + 320a b )cosh(x) +--R + +--R 9 3 7 5 5 2 +--R (- 48a b + 428a b + 476a b )cosh(x) +--R + +--R 2 8 4 6 6 4 9 3 7 5 5 +--R (- 112a b + 96a b + 208a b )cosh(x) + 4a b - 36a b - 24a b +--R + +--R 7 3 +--R 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 9 3 7 5 2 8 4 6 4 +--R (24a b + 24a b )cosh(x) + (200a b + 200a b )cosh(x) +--R + +--R 9 3 7 5 5 3 +--R (- 32a b + 432a b + 464a b )cosh(x) +--R + +--R 2 8 4 6 6 4 2 +--R (- 144a b + 208a b + 352a b )cosh(x) +--R + +--R 9 3 7 5 5 7 3 2 8 4 6 6 4 +--R (8a b - 120a b - 64a b + 64a b )cosh(x) + 8a b - 8a b - 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 9 3 7 6 2 8 4 6 5 +--R (4a b + 4a b )cosh(x) + (64a b + 64a b )cosh(x) +--R + +--R 9 3 7 5 5 4 +--R (- 8a b + 228a b + 236a b )cosh(x) +--R + +--R 2 8 4 6 6 4 3 +--R (- 80a b + 208a b + 288a b )cosh(x) +--R + +--R 9 3 7 5 5 7 3 2 +--R (4a b - 140a b - 48a b + 96a b )cosh(x) +--R + +--R 2 8 4 6 6 4 3 7 5 5 +--R (16a b - 32a b - 48a b )cosh(x) + 4a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 8 4 6 6 3 7 5 5 5 +--R (8a b + 8a b )cosh(x) + (56a b + 56a b )cosh(x) +--R + +--R 2 8 4 6 6 4 4 +--R (- 16a b + 96a b + 112a b )cosh(x) +--R + +--R 3 7 7 3 3 2 8 4 6 6 4 2 +--R (- 64a b + 64a b )cosh(x) + (8a b - 40a b - 48a b )cosh(x) +--R + +--R 3 7 5 5 +--R (8a b + 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 7 5 5 6 4 6 6 4 5 +--R (4a b + 4a b )cosh(x) + (16a b + 16a b )cosh(x) +--R + +--R 3 7 5 5 7 3 4 4 6 6 4 3 +--R (- 8a b + 8a b + 16a b )cosh(x) + (- 16a b - 16a b )cosh(x) +--R + +--R 3 7 5 5 2 +--R (4a b + 4a b )cosh(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 10 2 8 8 +--R (- 8b - 8a b )sinh(x) +--R + +--R 10 2 8 9 3 7 7 +--R ((- 48b - 48a b )cosh(x) - 48a b - 48a b )sinh(x) +--R + +--R 10 2 8 2 9 3 7 +--R (- 120b - 120a b )cosh(x) + (- 256a b - 256a b )cosh(x) +--R + +--R 10 2 8 4 6 +--R 16b - 88a b - 104a b +--R * +--R 6 +--R sinh(x) +--R + +--R 10 2 8 3 9 3 7 2 +--R (- 160b - 160a b )cosh(x) + (- 560a b - 560a b )cosh(x) +--R + +--R 10 2 8 4 6 9 3 7 5 5 +--R (64b - 432a b - 496a b )cosh(x) + 64a b - 32a b - 96a b +--R * +--R 5 +--R sinh(x) +--R + +--R 10 2 8 4 9 3 7 3 +--R (- 120b - 120a b )cosh(x) + (- 640a b - 640a b )cosh(x) +--R + +--R 10 2 8 4 6 2 +--R (96b - 856a b - 952a b )cosh(x) +--R + +--R 9 3 7 5 5 10 2 8 4 6 +--R (224a b - 192a b - 416a b )cosh(x) - 8b + 72a b + 48a b +--R + +--R 6 4 +--R - 32a b +--R * +--R 4 +--R sinh(x) +--R + +--R 10 2 8 5 9 3 7 4 +--R (- 48b - 48a b )cosh(x) + (- 400a b - 400a b )cosh(x) +--R + +--R 10 2 8 4 6 3 +--R (64b - 864a b - 928a b )cosh(x) +--R + +--R 9 3 7 5 5 2 +--R (288a b - 416a b - 704a b )cosh(x) +--R + +--R 10 2 8 4 6 6 4 9 3 7 +--R (- 16b + 240a b + 128a b - 128a b )cosh(x) - 16a b + 16a b +--R + +--R 5 5 +--R 32a b +--R * +--R 3 +--R sinh(x) +--R + +--R 10 2 8 6 9 3 7 5 +--R (- 8b - 8a b )cosh(x) + (- 128a b - 128a b )cosh(x) +--R + +--R 10 2 8 4 6 4 +--R (16b - 456a b - 472a b )cosh(x) +--R + +--R 9 3 7 5 5 3 +--R (160a b - 416a b - 576a b )cosh(x) +--R + +--R 10 2 8 4 6 6 4 2 +--R (- 8b + 280a b + 96a b - 192a b )cosh(x) +--R + +--R 9 3 7 5 5 2 8 4 6 +--R (- 32a b + 64a b + 96a b )cosh(x) - 8a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 9 3 7 6 2 8 4 6 5 +--R (- 16a b - 16a b )cosh(x) + (- 112a b - 112a b )cosh(x) +--R + +--R 9 3 7 5 5 4 +--R (32a b - 192a b - 224a b )cosh(x) +--R + +--R 2 8 6 4 3 +--R (128a b - 128a b )cosh(x) +--R + +--R 9 3 7 5 5 2 2 8 4 6 +--R (- 16a b + 80a b + 96a b )cosh(x) + (- 16a b - 16a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 4 6 6 3 7 5 5 5 +--R (- 8a b - 8a b )cosh(x) + (- 32a b - 32a b )cosh(x) +--R + +--R 2 8 4 6 6 4 4 3 7 5 5 3 +--R (16a b - 16a b - 32a b )cosh(x) + (32a b + 32a b )cosh(x) +--R + +--R 2 8 4 6 2 +--R (- 8a b - 8a b )cosh(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 9 3 7 8 +--R (- 4a b - 4a b )sinh(x) +--R + +--R 9 3 7 2 8 4 6 7 +--R ((- 24a b - 24a b )cosh(x) - 24a b - 24a b )sinh(x) +--R + +--R 9 3 7 2 2 8 4 6 9 +--R (- 60a b - 60a b )cosh(x) + (- 128a b - 128a b )cosh(x) + 8a b +--R + +--R 3 7 5 5 +--R - 44a b - 52a b +--R * +--R 6 +--R sinh(x) +--R + +--R 9 3 7 3 2 8 4 6 2 +--R (- 80a b - 80a b )cosh(x) + (- 280a b - 280a b )cosh(x) +--R + +--R 9 3 7 5 5 2 8 4 6 6 4 +--R (32a b - 216a b - 248a b )cosh(x) + 32a b - 16a b - 48a b +--R * +--R 5 +--R sinh(x) +--R + +--R 9 3 7 4 2 8 4 6 3 +--R (- 60a b - 60a b )cosh(x) + (- 320a b - 320a b )cosh(x) +--R + +--R 9 3 7 5 5 2 +--R (48a b - 428a b - 476a b )cosh(x) +--R + +--R 2 8 4 6 6 4 9 3 7 5 5 7 3 +--R (112a b - 96a b - 208a b )cosh(x) - 4a b + 36a b + 24a b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 9 3 7 5 2 8 4 6 4 +--R (- 24a b - 24a b )cosh(x) + (- 200a b - 200a b )cosh(x) +--R + +--R 9 3 7 5 5 3 +--R (32a b - 432a b - 464a b )cosh(x) +--R + +--R 2 8 4 6 6 4 2 +--R (144a b - 208a b - 352a b )cosh(x) +--R + +--R 9 3 7 5 5 7 3 2 8 4 6 6 4 +--R (- 8a b + 120a b + 64a b - 64a b )cosh(x) - 8a b + 8a b + 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 9 3 7 6 2 8 4 6 5 +--R (- 4a b - 4a b )cosh(x) + (- 64a b - 64a b )cosh(x) +--R + +--R 9 3 7 5 5 4 +--R (8a b - 228a b - 236a b )cosh(x) +--R + +--R 2 8 4 6 6 4 3 +--R (80a b - 208a b - 288a b )cosh(x) +--R + +--R 9 3 7 5 5 7 3 2 +--R (- 4a b + 140a b + 48a b - 96a b )cosh(x) +--R + +--R 2 8 4 6 6 4 3 7 5 5 +--R (- 16a b + 32a b + 48a b )cosh(x) - 4a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 8 4 6 6 3 7 5 5 5 +--R (- 8a b - 8a b )cosh(x) + (- 56a b - 56a b )cosh(x) +--R + +--R 2 8 4 6 6 4 4 3 7 7 3 3 +--R (16a b - 96a b - 112a b )cosh(x) + (64a b - 64a b )cosh(x) +--R + +--R 2 8 4 6 6 4 2 3 7 5 5 +--R (- 8a b + 40a b + 48a b )cosh(x) + (- 8a b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 7 5 5 6 4 6 6 4 5 +--R (- 4a b - 4a b )cosh(x) + (- 16a b - 16a b )cosh(x) +--R + +--R 3 7 5 5 7 3 4 4 6 6 4 3 +--R (8a b - 8a b - 16a b )cosh(x) + (16a b + 16a b )cosh(x) +--R + +--R 3 7 5 5 2 +--R (- 4a b - 4a b )cosh(x) +--R Type: Expression Integer +--E 50 + +--S 51 of 552 +t0710:= sinh(x)^2/(%i+sinh(x))^2 +--R +--R +--R 2 +--R sinh(x) +--R (51) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 51 + +--S 52 of 552 +r0710:= x+5*%i*cosh(x)/(3-3*%i*sinh(x))+1/3*%i*cosh(x)/(%i+sinh(x))^2 +--R +--R +--R 2 5 4 +--R x sinh(x) + (- - cosh(x) + 2%i x)sinh(x) - - %i cosh(x) - x +--R 3 3 +--R (52) ------------------------------------------------------------ +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Fraction Integer +--E 52 + +--S 53 of 552 +a0710:= integrate(t0710,x) +--R +--R +--R (53) +--R 2 2 +--R 3x sinh(x) + (6x cosh(x) + 12%i x + 22%i)sinh(x) + 3x cosh(x) +--R + +--R (6%i x + 2%i)cosh(x) - 9x - 18 +--R / +--R 2 2 +--R 3sinh(x) + (6cosh(x) + 12%i)sinh(x) + 3cosh(x) + 6%i cosh(x) - 9 +--R Type: Union(Expression Complex Integer,...) +--E 53 + +--S 54 of 552 +m0710:= a0710-r0710 +--R +--R +--R (54) +--R 5 22 3 10 2 26 62 2 +--R (- cosh(x) + -- %i)sinh(x) + (-- cosh(x) + -- %i cosh(x) - --)sinh(x) +--R 3 3 3 3 3 +--R + +--R 5 3 2 35 58 4 3 +--R (- cosh(x) + 6%i cosh(x) - -- cosh(x) - -- %i)sinh(x) + - %i cosh(x) +--R 3 3 3 3 +--R + +--R 8 2 14 +--R - - cosh(x) - -- %i cosh(x) + 6 +--R 3 3 +--R / +--R 4 3 +--R sinh(x) + (2cosh(x) + 6%i)sinh(x) +--R + +--R 2 2 +--R (cosh(x) + 6%i cosh(x) - 12)sinh(x) +--R + +--R 2 2 +--R (2%i cosh(x) - 6cosh(x) - 10%i)sinh(x) - cosh(x) - 2%i cosh(x) + 3 +--R Type: Expression Complex Fraction Integer +--E 54 + +--S 55 of 552 +d0710:= D(m0710,x) +--R +--R +--R (55) +--R 5 7 20 7 6 +--R - sinh(x) + (-- cosh(x) + - %i)sinh(x) +--R 3 3 3 +--R + +--R 25 2 70 5 +--R (-- cosh(x) + -- %i cosh(x) + 4)sinh(x) +--R 3 3 +--R + +--R 85 2 22 4 +--R (-- %i cosh(x) - 22cosh(x) + -- %i)sinh(x) +--R 3 3 +--R + +--R 25 4 38 3 2 28 1 3 +--R (- -- cosh(x) - -- %i cosh(x) - 22cosh(x) + -- %i cosh(x) + -)sinh(x) +--R 3 3 3 3 +--R + +--R 20 5 89 4 94 3 50 2 +--R - -- cosh(x) - -- %i cosh(x) + -- cosh(x) + -- %i cosh(x) +--R 3 3 3 3 +--R + +--R 80 +--R - -- cosh(x) + 5%i +--R 3 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 6 32 5 94 4 74 3 +--R - - cosh(x) - -- %i cosh(x) + -- cosh(x) + -- %i cosh(x) +--R 3 3 3 3 +--R + +--R 83 2 +--R - -- cosh(x) - 14%i cosh(x) - 2 +--R 3 +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - %i cosh(x) + 4cosh(x) + 10%i cosh(x) - 6cosh(x) - 9%i cosh(x) +--R + +--R 2cosh(x) +--R / +--R 7 6 +--R sinh(x) + (4cosh(x) + 11%i)sinh(x) +--R + +--R 2 5 +--R (6cosh(x) + 32%i cosh(x) - 49)sinh(x) +--R + +--R 3 2 4 +--R (4cosh(x) + 34%i cosh(x) - 100cosh(x) - 115%i)sinh(x) +--R + +--R 4 3 2 3 +--R (cosh(x) + 16%i cosh(x) - 76cosh(x) - 160%i cosh(x) + 155)sinh(x) +--R + +--R 4 3 2 2 +--R (3%i cosh(x) - 24cosh(x) - 84%i cosh(x) + 140cosh(x) + 121%i)sinh(x) +--R + +--R 4 3 2 +--R (- 3cosh(x) - 16%i cosh(x) + 46cosh(x) + 64%i cosh(x) - 51)sinh(x) +--R + +--R 4 3 2 +--R - %i cosh(x) + 4cosh(x) + 10%i cosh(x) - 12cosh(x) - 9%i +--R Type: Expression Complex Fraction Integer +--E 55 + +--S 56 of 552 +t0711:= sinh(x)^3/(%i+sinh(x))^2 +--R +--R +--R 3 +--R sinh(x) +--R (56) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 56 + +--S 57 of 552 +r0711:= -2*%i*x+cosh(x)+8*cosh(x)/(3-3*%i*sinh(x))+1/3*cosh(x)/(%i+sinh(x))^2 +--R +--R +--R (57) +--R 2 +--R (3cosh(x) - 6%i x)sinh(x) + (14%i cosh(x) + 12x)sinh(x) - 10cosh(x) + 6%i x +--R ---------------------------------------------------------------------------- +--R 2 +--R 3sinh(x) + 6%i sinh(x) - 3 +--R Type: Expression Complex Integer +--E 57 + +--S 58 of 552 +a0711:= integrate(t0711,x) +--R +--R +--R (58) +--R 3 2 +--R 3sinh(x) + (9cosh(x) - 12%i x + 6%i)sinh(x) +--R + +--R 2 3 +--R (9cosh(x) + (- 24%i x + 24%i)cosh(x) + 48x + 71)sinh(x) + 3cosh(x) +--R + +--R 2 +--R (- 12%i x + 6%i)cosh(x) + (24x - 11)cosh(x) + 36%i x + 66%i +--R / +--R 2 2 +--R 6sinh(x) + (12cosh(x) + 24%i)sinh(x) + 6cosh(x) + 12%i cosh(x) - 18 +--R Type: Union(Expression Complex Integer,...) +--E 58 + +--S 59 of 552 +m0711:= a0711-r0711 +--R +--R +--R (59) +--R 5 4 +--R 3sinh(x) + (3cosh(x) + 12%i)sinh(x) +--R + +--R 2 3 +--R (- 3cosh(x) - 10%i cosh(x) + 56)sinh(x) +--R + +--R 3 2 2 +--R (- 3cosh(x) - 44%i cosh(x) + 82cosh(x) + 202%i)sinh(x) +--R + +--R 3 2 3 +--R (- 22%i cosh(x) + 75cosh(x) + 118%i cosh(x) - 203)sinh(x) + 17cosh(x) +--R + +--R 2 +--R 34%i cosh(x) - 49cosh(x) - 66%i +--R / +--R 4 3 +--R 6sinh(x) + (12cosh(x) + 36%i)sinh(x) +--R + +--R 2 2 +--R (6cosh(x) + 36%i cosh(x) - 72)sinh(x) +--R + +--R 2 2 +--R (12%i cosh(x) - 36cosh(x) - 60%i)sinh(x) - 6cosh(x) - 12%i cosh(x) + 18 +--R Type: Expression Complex Integer +--E 59 + +--S 60 of 552 +d0711:= D(m0711,x) +--R +--R +--R (60) +--R 8 7 +--R - 3sinh(x) + (- 9cosh(x) - 31%i)sinh(x) +--R + +--R 2 6 +--R (- 6cosh(x) - 115%i cosh(x) + 53)sinh(x) +--R + +--R 3 2 5 +--R (6cosh(x) - 110%i cosh(x) + 341cosh(x) - 15%i)sinh(x) +--R + +--R 4 3 2 4 +--R (9cosh(x) + 42%i cosh(x) + 326cosh(x) + 327%i cosh(x) + 83)sinh(x) +--R + +--R 5 4 3 2 +--R 3cosh(x) + 125%i cosh(x) - 232cosh(x) + 228%i cosh(x) +--R + +--R 101cosh(x) + 31%i +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 73%i cosh(x) - 379cosh(x) - 464%i cosh(x) + 238cosh(x) +--R + +--R 391%i cosh(x) + 27 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 16%i cosh(x) - 121cosh(x) - 401%i cosh(x) + 370cosh(x) +--R + +--R 2 +--R 370%i cosh(x) - 249cosh(x) + 15%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - 12cosh(x) - 51%i cosh(x) + 138cosh(x) + 102%i cosh(x) - 126cosh(x) +--R + +--R - 51%i cosh(x) +--R / +--R 7 6 +--R 6sinh(x) + (24cosh(x) + 66%i)sinh(x) +--R + +--R 2 5 +--R (36cosh(x) + 192%i cosh(x) - 294)sinh(x) +--R + +--R 3 2 4 +--R (24cosh(x) + 204%i cosh(x) - 600cosh(x) - 690%i)sinh(x) +--R + +--R 4 3 2 3 +--R (6cosh(x) + 96%i cosh(x) - 456cosh(x) - 960%i cosh(x) + 930)sinh(x) +--R + +--R 4 3 2 +--R (18%i cosh(x) - 144cosh(x) - 504%i cosh(x) + 840cosh(x) + 726%i) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 +--R (- 18cosh(x) - 96%i cosh(x) + 276cosh(x) + 384%i cosh(x) - 306)sinh(x) +--R + +--R 4 3 2 +--R - 6%i cosh(x) + 24cosh(x) + 60%i cosh(x) - 72cosh(x) - 54%i +--R Type: Expression Complex Integer +--E 60 + +--S 61 of 552 +t0712:= sinh(x)^4/(%i+sinh(x))^2 +--R +--R +--R 4 +--R sinh(x) +--R (61) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 61 + +--S 62 of 552 +r0712:= -7/2*x-2*%i*cosh(x)-11*%i*cosh(x)/(3-3*%i*sinh(x))+_ + 1/2*cosh(x)*sinh(x)-1/3*%i*cosh(x)/(%i+sinh(x))^2 +--R +--R +--R (62) +--R 1 3 7 2 +--R - cosh(x)sinh(x) + (- %i cosh(x) - - x)sinh(x) +--R 2 2 +--R + +--R 43 16 7 +--R (-- cosh(x) - 7%i x)sinh(x) + -- %i cosh(x) + - x +--R 6 3 2 +--R / +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Fraction Integer +--E 62 + +--S 63 of 552 +a0712:= integrate(t0712,x) +--R +--R +--R (63) +--R 4 3 +--R 3sinh(x) + (12cosh(x) - 18%i)sinh(x) +--R + +--R 2 2 +--R (18cosh(x) - 36%i cosh(x) - 84x + 48)sinh(x) +--R + +--R 3 2 +--R (12cosh(x) - 54%i cosh(x) + (- 168x + 156)cosh(x) - 336%i x - 386%i) +--R * +--R sinh(x) +--R + +--R 4 3 2 +--R 3cosh(x) - 12%i cosh(x) + (- 84x + 48)cosh(x) +--R + +--R (- 168%i x + 92%i)cosh(x) + 252x + 381 +--R / +--R 2 2 +--R 24sinh(x) + (48cosh(x) + 96%i)sinh(x) + 24cosh(x) + 48%i cosh(x) - 72 +--R Type: Union(Expression Complex Integer,...) +--E 63 + +--S 64 of 552 +m0712:= a0712-r0712 +--R +--R +--R (64) +--R 1 6 1 5 1 2 3 27 4 +--R - sinh(x) - - %i sinh(x) + (- - cosh(x) - - %i cosh(x) + --)sinh(x) +--R 8 2 4 2 8 +--R + +--R 1 2 2 34 3 +--R (- %i cosh(x) - - cosh(x) - -- %i)sinh(x) +--R 4 3 3 +--R + +--R 1 4 3 3 127 2 56 1105 +--R (- cosh(x) + - %i cosh(x) - --- cosh(x) - -- %i cosh(x) + ----) +--R 8 2 12 3 24 +--R * +--R 2 +--R sinh(x) +--R + +--R 1 4 20 3 75 2 86 287 +--R (- %i cosh(x) - -- cosh(x) - -- %i cosh(x) + -- cosh(x) + --- %i) +--R 4 3 4 3 6 +--R * +--R sinh(x) +--R + +--R 1 4 29 3 26 2 73 127 +--R - - cosh(x) - -- %i cosh(x) + -- cosh(x) + -- %i cosh(x) - --- +--R 8 6 3 6 8 +--R / +--R 4 3 +--R sinh(x) + (2cosh(x) + 6%i)sinh(x) +--R + +--R 2 2 +--R (cosh(x) + 6%i cosh(x) - 12)sinh(x) +--R + +--R 2 2 +--R (2%i cosh(x) - 6cosh(x) - 10%i)sinh(x) - cosh(x) - 2%i cosh(x) + 3 +--R Type: Expression Complex Fraction Integer +--E 64 + +--S 65 of 552 +d0712:= D(m0712,x) +--R +--R +--R (65) +--R 1 9 1 8 +--R - - sinh(x) + (- - cosh(x) - %i)sinh(x) +--R 4 2 +--R + +--R 1 2 1 5 7 +--R (- cosh(x) + - %i cosh(x) - -)sinh(x) +--R 4 4 3 +--R + +--R 3 23 2 317 10 6 +--R (cosh(x) + -- %i cosh(x) - --- cosh(x) - -- %i)sinh(x) +--R 4 12 3 +--R + +--R 1 4 3 517 2 1051 17 5 +--R (- cosh(x) + 4%i cosh(x) - --- cosh(x) - ---- %i cosh(x) - --)sinh(x) +--R 4 12 12 2 +--R + +--R 1 5 4 3 1255 2 +--R - - cosh(x) - 4%i cosh(x) + 2cosh(x) - ---- %i cosh(x) +--R 2 12 +--R + +--R 363 43 +--R --- cosh(x) - -- %i +--R 4 3 +--R * +--R 4 +--R sinh(x) +--R + +--R 1 6 17 5 121 4 170 3 +--R - - cosh(x) - -- %i cosh(x) + --- cosh(x) + --- %i cosh(x) +--R 4 4 3 3 +--R + +--R 279 2 223 7 +--R --- cosh(x) - --- %i cosh(x) - - +--R 4 12 3 +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 293 5 655 4 379 3 +--R - - %i cosh(x) + --- cosh(x) + --- %i cosh(x) - --- cosh(x) +--R 4 12 6 3 +--R + +--R 773 2 1217 +--R - --- %i cosh(x) + ---- cosh(x) - 12%i +--R 12 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 53 6 425 5 1339 4 314 3 +--R -- cosh(x) + --- %i cosh(x) - ---- cosh(x) - --- %i cosh(x) +--R 12 12 12 3 +--R + +--R 1229 2 277 19 +--R ---- cosh(x) + --- %i cosh(x) + -- +--R 12 4 4 +--R * +--R sinh(x) +--R + +--R 13 6 59 5 77 4 3 +--R -- %i cosh(x) - -- cosh(x) - -- %i cosh(x) + 30cosh(x) +--R 4 4 2 +--R + +--R 141 2 61 +--R --- %i cosh(x) - -- cosh(x) +--R 4 4 +--R / +--R 7 6 +--R sinh(x) + (4cosh(x) + 11%i)sinh(x) +--R + +--R 2 5 +--R (6cosh(x) + 32%i cosh(x) - 49)sinh(x) +--R + +--R 3 2 4 +--R (4cosh(x) + 34%i cosh(x) - 100cosh(x) - 115%i)sinh(x) +--R + +--R 4 3 2 3 +--R (cosh(x) + 16%i cosh(x) - 76cosh(x) - 160%i cosh(x) + 155)sinh(x) +--R + +--R 4 3 2 2 +--R (3%i cosh(x) - 24cosh(x) - 84%i cosh(x) + 140cosh(x) + 121%i)sinh(x) +--R + +--R 4 3 2 +--R (- 3cosh(x) - 16%i cosh(x) + 46cosh(x) + 64%i cosh(x) - 51)sinh(x) +--R + +--R 4 3 2 +--R - %i cosh(x) + 4cosh(x) + 10%i cosh(x) - 12cosh(x) - 9%i +--R Type: Expression Complex Fraction Integer +--E 65 + +--S 66 of 552 +t0713:= cosh(x)^2/(a+b*sinh(x))^2 +--R +--R +--R 2 +--R cosh(x) +--R (66) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 66 + +--S 67 of 552 +r0713:= x/b^2+2*a*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/b^2/_ + (a^2+b^2)^(1/2)-cosh(x)/b/(a+b*sinh(x)) +--R +--R +--R (67) +--R x +--R a tanh(-) - b +--R 2 2 +--R (- 2a b sinh(x) - 2a )atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R | 2 2 +--R (b x sinh(x) - b cosh(x) + a x)\|b + a +--R / +--R +-------+ +--R 3 2 | 2 2 +--R (b sinh(x) + a b )\|b + a +--R Type: Expression Integer +--E 67 + +--S 68 of 552 +a0713:= integrate(t0713,x) +--R +--R +--R (68) +--R 2 2 2 +--R a b sinh(x) + (2a b cosh(x) + 2a )sinh(x) + a b cosh(x) +--R + +--R 2 +--R 2a cosh(x) - a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 2 +--R b x sinh(x) + (2b x cosh(x) + 2a x + 2a)sinh(x) + b x cosh(x) +--R + +--R (2a x + 2a)cosh(x) - b x - 2b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 3 2 3 2 3 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b )sinh(x) + b cosh(x) + 2a b cosh(x) +--R + +--R 3 +--R - b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 68 + +--S 69 of 552 +m0713:= a0713-r0713 +--R +--R +--R (69) +--R 2 3 2 2 2 +--R a b sinh(x) + (2a b cosh(x) + 3a b)sinh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (a b cosh(x) + 4a b cosh(x) - a b + 2a )sinh(x) + a b cosh(x) +--R + +--R 3 2 +--R 2a cosh(x) - a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 3 2 2 2 +--R 2a b sinh(x) + (4a b cosh(x) + 6a b)sinh(x) +--R + +--R 2 2 2 2 3 2 2 +--R (2a b cosh(x) + 8a b cosh(x) - 2a b + 4a )sinh(x) + 2a b cosh(x) +--R + +--R 3 2 +--R 4a cosh(x) - 2a b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 2 +--R (b cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (2b cosh(x) + 4a b cosh(x) - 2b + 2a )sinh(x) + b cosh(x) +--R + +--R 2 2 2 +--R 2a b cosh(x) + (- b + 2a )cosh(x) - 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 4 3 4 3 2 +--R b sinh(x) + (2b cosh(x) + 3a b )sinh(x) +--R + +--R 4 2 3 4 2 2 3 2 +--R (b cosh(x) + 4a b cosh(x) - b + 2a b )sinh(x) + a b cosh(x) +--R + +--R 2 2 3 +--R 2a b cosh(x) - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 69 + +--S 70 of 552 +d0713:= D(m0713,x) +--R +--R +--R (70) +--R 3 6 3 2 2 5 +--R 2a b sinh(x) + (8a b cosh(x) + 7a b )sinh(x) +--R + +--R 3 2 2 2 3 4 +--R (11a b cosh(x) + 24a b cosh(x) + 9a b)sinh(x) +--R + +--R 3 3 2 2 2 3 2 2 4 +--R (4a b cosh(x) + 26a b cosh(x) + 24a b cosh(x) - 2a b + 4a ) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 2 2 3 3 3 2 +--R - 4a b cosh(x) + 4a b cosh(x) + (2a b + 18a b)cosh(x) +--R + +--R 4 3 3 +--R 8a cosh(x) + 2a b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 2 2 4 3 3 +--R - 4a b cosh(x) - 9a b cosh(x) + 4a b cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (6a b + 4a )cosh(x) + 3a b +--R * +--R sinh(x) +--R + +--R 3 6 2 2 5 3 3 4 +--R - a b cosh(x) - 4a b cosh(x) + (2a b - 3a b)cosh(x) +--R + +--R 2 2 3 3 3 2 3 +--R 4a b cosh(x) + (- a b + 2a b)cosh(x) + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 6 4 3 5 +--R - 2b sinh(x) + (- 8b cosh(x) - 2a b )sinh(x) +--R + +--R 4 2 3 4 2 2 4 +--R (- 10b cosh(x) - 8a b cosh(x) - 4b + 8a b )sinh(x) +--R + +--R 3 2 4 2 2 3 3 3 +--R (- 4a b cosh(x) + (- 8b + 24a b )cosh(x) - 12a b + 16a b)sinh(x) +--R + +--R 4 4 3 3 4 2 2 2 +--R 10b cosh(x) + 16a b cosh(x) + (- 8b + 32a b )cosh(x) +--R + +--R 3 3 4 2 2 4 +--R (- 24a b + 40a b)cosh(x) - 2b - 16a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 3 4 4 2 2 3 +--R 8b cosh(x) + 22a b cosh(x) + (- 8b + 24a b )cosh(x) +--R + +--R 3 3 2 2 2 4 3 +--R (- 20a b + 32a b)cosh(x) + (- 24a b + 16a )cosh(x) - 2a b +--R + +--R 3 +--R - 8a b +--R * +--R sinh(x) +--R + +--R 4 6 3 5 4 2 2 4 +--R 2b cosh(x) + 8a b cosh(x) + (- 4b + 8a b )cosh(x) +--R + +--R 3 3 3 4 2 2 4 2 3 +--R (- 8a b + 8a b)cosh(x) + (2b - 8a b + 8a )cosh(x) - 8a b cosh(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 3 6 3 2 2 5 +--R - 2a b sinh(x) + (- 8a b cosh(x) - 7a b )sinh(x) +--R + +--R 3 2 2 2 3 4 +--R (- 11a b cosh(x) - 24a b cosh(x) - 9a b)sinh(x) +--R + +--R 3 3 2 2 2 3 2 2 4 3 +--R (- 4a b cosh(x) - 26a b cosh(x) - 24a b cosh(x) + 2a b - 4a )sinh(x) +--R + +--R 3 4 2 2 3 3 3 2 +--R 4a b cosh(x) - 4a b cosh(x) + (- 2a b - 18a b)cosh(x) +--R + +--R 4 3 3 +--R - 8a cosh(x) - 2a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 2 2 4 3 3 +--R 4a b cosh(x) + 9a b cosh(x) - 4a b cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (- 6a b - 4a )cosh(x) - 3a b +--R * +--R sinh(x) +--R + +--R 3 6 2 2 5 3 3 4 2 2 3 +--R a b cosh(x) + 4a b cosh(x) + (- 2a b + 3a b)cosh(x) - 4a b cosh(x) +--R + +--R 3 3 2 3 +--R (a b - 2a b)cosh(x) - a b +--R / +--R 5 6 5 2 4 5 +--R a b sinh(x) + (4a b cosh(x) + 6a b )sinh(x) +--R + +--R 5 2 2 4 5 3 3 4 +--R (6a b cosh(x) + 20a b cosh(x) - 2a b + 13a b )sinh(x) +--R + +--R 5 3 2 4 2 5 3 3 +--R 4a b cosh(x) + 24a b cosh(x) + (- 4a b + 36a b )cosh(x) +--R + +--R 2 4 4 2 +--R - 8a b + 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 4 3 5 3 3 2 +--R a b cosh(x) + 12a b cosh(x) + (- 2a b + 34a b )cosh(x) +--R + +--R 2 4 4 2 5 3 3 5 +--R (- 12a b + 28a b )cosh(x) + a b - 10a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 4 3 3 3 2 4 4 2 2 +--R 2a b cosh(x) + 12a b cosh(x) + (- 4a b + 20a b )cosh(x) +--R + +--R 3 3 5 2 4 4 2 +--R (- 12a b + 8a b)cosh(x) + 2a b - 4a b +--R * +--R sinh(x) +--R + +--R 3 3 4 4 2 3 3 3 5 2 +--R a b cosh(x) + 4a b cosh(x) + (- 2a b + 4a b)cosh(x) +--R + +--R 4 2 3 3 +--R - 4a b cosh(x) + a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 6 6 6 5 5 +--R - 2b sinh(x) + (- 8b cosh(x) - 12a b )sinh(x) +--R + +--R 6 2 5 6 2 4 4 +--R (- 12b cosh(x) - 40a b cosh(x) + 4b - 26a b )sinh(x) +--R + +--R 6 3 5 2 6 2 4 5 +--R - 8b cosh(x) - 48a b cosh(x) + (8b - 72a b )cosh(x) + 16a b +--R + +--R 3 3 +--R - 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 4 5 3 6 2 4 2 +--R - 2b cosh(x) - 24a b cosh(x) + (4b - 68a b )cosh(x) +--R + +--R 5 3 3 6 2 4 4 2 +--R (24a b - 56a b )cosh(x) - 2b + 20a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 2 4 3 5 3 3 2 +--R - 4a b cosh(x) - 24a b cosh(x) + (8a b - 40a b )cosh(x) +--R + +--R 2 4 4 2 5 3 3 +--R (24a b - 16a b )cosh(x) - 4a b + 8a b +--R * +--R sinh(x) +--R + +--R 2 4 4 3 3 3 2 4 4 2 2 +--R - 2a b cosh(x) - 8a b cosh(x) + (4a b - 8a b )cosh(x) +--R + +--R 3 3 2 4 +--R 8a b cosh(x) - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 5 6 5 2 4 5 +--R - a b sinh(x) + (- 4a b cosh(x) - 6a b )sinh(x) +--R + +--R 5 2 2 4 5 3 3 4 +--R (- 6a b cosh(x) - 20a b cosh(x) + 2a b - 13a b )sinh(x) +--R + +--R 5 3 2 4 2 5 3 3 2 4 +--R - 4a b cosh(x) - 24a b cosh(x) + (4a b - 36a b )cosh(x) + 8a b +--R + +--R 4 2 +--R - 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 2 4 3 5 3 3 2 +--R - a b cosh(x) - 12a b cosh(x) + (2a b - 34a b )cosh(x) +--R + +--R 2 4 4 2 5 3 3 5 +--R (12a b - 28a b )cosh(x) - a b + 10a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 4 3 3 3 2 4 4 2 2 +--R - 2a b cosh(x) - 12a b cosh(x) + (4a b - 20a b )cosh(x) +--R + +--R 3 3 5 2 4 4 2 +--R (12a b - 8a b)cosh(x) - 2a b + 4a b +--R * +--R sinh(x) +--R + +--R 3 3 4 4 2 3 3 3 5 2 4 2 +--R - a b cosh(x) - 4a b cosh(x) + (2a b - 4a b)cosh(x) + 4a b cosh(x) +--R + +--R 3 3 +--R - a b +--R Type: Expression Integer +--E 70 + +--S 71 of 552 +t0714:= cosh(x)^3/(a+b*sinh(x))^2 +--R +--R +--R 3 +--R cosh(x) +--R (71) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 71 + +--S 72 of 552 +r0714:= -2*a*log(a+b*sinh(x))/b^3+sinh(x)/b^2-(a^2+b^2)/b^3/(a+b*sinh(x)) +--R +--R +--R (72) +--R 2 2 2 2 2 +--R (- 2a b sinh(x) - 2a )log(b sinh(x) + a) + b sinh(x) + a b sinh(x) - b - a +--R ----------------------------------------------------------------------------- +--R 4 3 +--R b sinh(x) + a b +--R Type: Expression Integer +--E 72 + +--S 73 of 552 +a0714:= integrate(t0714,x) +--R +--R +--R (73) +--R 3 2 2 +--R - 4a b sinh(x) + (- 12a b cosh(x) - 8a )sinh(x) +--R + +--R 2 2 3 +--R (- 12a b cosh(x) - 16a cosh(x) + 4a b)sinh(x) - 4a b cosh(x) +--R + +--R 2 2 +--R - 8a cosh(x) + 4a b cosh(x) +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 4 2 3 +--R b sinh(x) + (4b cosh(x) + 4a b x + 2a b)sinh(x) +--R + +--R 2 2 2 2 2 2 +--R (6b cosh(x) + (12a b x + 6a b)cosh(x) + 8a x - 6b - 4a )sinh(x) +--R + +--R 2 3 2 2 2 2 +--R 4b cosh(x) + (12a b x + 6a b)cosh(x) + (16a x - 12b - 8a )cosh(x) +--R + +--R - 4a b x - 2a b +--R * +--R sinh(x) +--R + +--R 2 4 3 2 2 2 2 +--R b cosh(x) + (4a b x + 2a b)cosh(x) + (8a x - 6b - 4a )cosh(x) +--R + +--R 2 +--R (- 4a b x - 2a b)cosh(x) + b +--R / +--R 4 3 4 3 2 +--R 2b sinh(x) + (6b cosh(x) + 4a b )sinh(x) +--R + +--R 4 2 3 4 4 3 3 2 +--R (6b cosh(x) + 8a b cosh(x) - 2b )sinh(x) + 2b cosh(x) + 4a b cosh(x) +--R + +--R 4 +--R - 2b cosh(x) +--R Type: Union(Expression Integer,...) +--E 73 + +--S 74 of 552 +m0714:= a0714-r0714 +--R +--R +--R (74) +--R 2 4 2 2 3 +--R 4a b sinh(x) + (12a b cosh(x) + 12a b)sinh(x) +--R + +--R 2 2 2 2 3 2 +--R (12a b cosh(x) + 28a b cosh(x) - 4a b + 8a )sinh(x) +--R + +--R 2 3 2 2 2 3 2 +--R (4a b cosh(x) + 20a b cosh(x) + (- 4a b + 16a )cosh(x) - 4a b) +--R * +--R sinh(x) +--R + +--R 2 3 3 2 2 +--R 4a b cosh(x) + 8a cosh(x) - 4a b cosh(x) +--R * +--R log(b sinh(x) + a) +--R + +--R 2 4 2 2 3 +--R - 4a b sinh(x) + (- 12a b cosh(x) - 12a b)sinh(x) +--R + +--R 2 2 2 2 3 2 +--R (- 12a b cosh(x) - 28a b cosh(x) + 4a b - 8a )sinh(x) +--R + +--R 2 3 2 2 2 3 2 +--R (- 4a b cosh(x) - 20a b cosh(x) + (4a b - 16a )cosh(x) + 4a b) +--R * +--R sinh(x) +--R + +--R 2 3 3 2 2 +--R - 4a b cosh(x) - 8a cosh(x) + 4a b cosh(x) +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 5 3 2 2 4 +--R - b sinh(x) + (- 2b cosh(x) + 4a b x - 3a b )sinh(x) +--R + +--R 2 2 2 3 2 3 +--R ((12a b x - 4a b )cosh(x) + 12a b x - 2b - 4a b)sinh(x) +--R + +--R 3 3 2 2 2 +--R 2b cosh(x) + (12a b x + 2a b )cosh(x) +--R + +--R 2 3 2 2 3 2 +--R (28a b x - 4b - 4a b)cosh(x) + (- 4a b + 8a )x - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 2 2 3 2 2 2 +--R b cosh(x) + (4a b x + 4a b )cosh(x) + (20a b x + 4a b)cosh(x) +--R + +--R 2 3 2 2 3 2 +--R ((- 4a b + 16a )x - 4a b )cosh(x) - 4a b x - b - 4a b +--R * +--R sinh(x) +--R + +--R 2 4 2 3 2 3 3 2 2 +--R a b cosh(x) + (4a b x + 2b + 4a b)cosh(x) + (8a x - 2a b )cosh(x) +--R + +--R 2 3 2 2 +--R (- 4a b x - 2b - 4a b)cosh(x) + a b +--R / +--R 5 4 5 4 3 +--R 2b sinh(x) + (6b cosh(x) + 6a b )sinh(x) +--R + +--R 5 2 4 5 2 3 2 +--R (6b cosh(x) + 14a b cosh(x) - 2b + 4a b )sinh(x) +--R + +--R 5 3 4 2 5 2 3 4 +--R (2b cosh(x) + 10a b cosh(x) + (- 2b + 8a b )cosh(x) - 2a b )sinh(x) +--R + +--R 4 3 2 3 2 4 +--R 2a b cosh(x) + 4a b cosh(x) - 2a b cosh(x) +--R Type: Expression Integer +--E 74 + +--S 75 of 552 +d0714:= D(m0714,x) +--R +--R +--R (75) +--R 4 8 4 3 7 +--R b sinh(x) + (4b cosh(x) + 6a b )sinh(x) +--R + +--R 4 2 3 4 2 2 6 +--R (5b cosh(x) + 20a b cosh(x) + 3b + 17a b )sinh(x) +--R + +--R 3 2 4 2 2 3 3 5 +--R (18a b cosh(x) + (14b + 50a b )cosh(x) + 6a b + 20a b)sinh(x) +--R + +--R 4 4 3 3 4 2 2 2 +--R - 5b cosh(x) - 8a b cosh(x) + (20b + 35a b )cosh(x) +--R + +--R 3 3 4 2 2 4 +--R (32a b + 52a b)cosh(x) + 3b + 11a b + 8a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 5 3 4 4 2 2 3 +--R - 4b cosh(x) - 22a b cosh(x) + (4b - 28a b )cosh(x) +--R + +--R 3 3 2 4 2 2 4 3 3 +--R (44a b + 24a b)cosh(x) + (8b + 44a b + 16a )cosh(x) + 2a b + 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 6 3 5 4 2 2 4 +--R - b cosh(x) - 12a b cosh(x) + (- 13b - 49a b )cosh(x) +--R + +--R 3 3 3 4 2 2 2 +--R (8a b - 40a b)cosh(x) + (13b + 58a b )cosh(x) +--R + +--R 3 3 4 2 2 4 +--R (12a b + 48a b)cosh(x) + b - 5a b + 8a +--R * +--R 2 +--R sinh(x) +--R + +--R 3 6 4 2 2 5 +--R - 2a b cosh(x) + (- 10b - 22a b )cosh(x) +--R + +--R 3 3 4 4 2 2 4 3 +--R (- 18a b - 44a b)cosh(x) + (12b + 28a b - 16a )cosh(x) +--R + +--R 3 3 2 4 2 2 4 3 3 +--R (18a b + 48a b)cosh(x) + (- 2b - 6a b + 16a )cosh(x) + 2a b - 4a b +--R * +--R sinh(x) +--R + +--R 4 2 2 6 3 3 5 +--R (- 2b - 3a b )cosh(x) + (- 8a b - 12a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (4b + 3a b - 8a )cosh(x) + (8a b + 16a b)cosh(x) +--R + +--R 4 2 2 4 2 3 2 2 +--R (- 2b - a b + 8a )cosh(x) - 4a b cosh(x) + a b +--R / +--R 6 7 6 5 6 +--R 2b sinh(x) + (10b cosh(x) + 12a b )sinh(x) +--R + +--R 6 2 5 6 2 4 5 +--R (20b cosh(x) + 52a b cosh(x) - 4b + 26a b )sinh(x) +--R + +--R 6 3 5 2 6 2 4 5 +--R 20b cosh(x) + 88a b cosh(x) + (- 12b + 98a b )cosh(x) - 16a b +--R + +--R 3 3 +--R 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 4 5 3 6 2 4 2 +--R 10b cosh(x) + 72a b cosh(x) + (- 12b + 140a b )cosh(x) +--R + +--R 5 3 3 6 2 4 4 2 +--R (- 40a b + 80a b )cosh(x) + 2b - 20a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 5 4 6 2 4 3 +--R 2b cosh(x) + 28a b cosh(x) + (- 4b + 92a b )cosh(x) +--R + +--R 5 3 3 2 6 2 4 4 2 5 +--R (- 32a b + 96a b )cosh(x) + (2b - 44a b + 24a b )cosh(x) + 4a b +--R + +--R 3 3 +--R - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 5 2 4 4 5 3 3 3 +--R 4a b cosh(x) + 26a b cosh(x) + (- 8a b + 48a b )cosh(x) +--R + +--R 2 4 4 2 2 5 3 3 2 4 +--R (- 28a b + 24a b )cosh(x) + (4a b - 16a b )cosh(x) + 2a b +--R * +--R sinh(x) +--R + +--R 2 4 5 3 3 4 2 4 4 2 3 3 3 2 +--R 2a b cosh(x) + 8a b cosh(x) + (- 4a b + 8a b )cosh(x) - 8a b cosh(x) +--R + +--R 2 4 +--R 2a b cosh(x) +--R Type: Expression Integer +--E 75 + +--S 76 of 552 +t0715:= cosh(x)^4/(a+b*sinh(x))^2 +--R +--R +--R 4 +--R cosh(x) +--R (76) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 76 + +--S 77 of 552 +r0715:= 3*a^2*x/b^4+3/2*x/b^2+6*a*(a^2+b^2)^(1/2)*_ + atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/b^4-_ + 2*a*cosh(x)/b^3+1/2*cosh(x)*sinh(x)/b^2-_ + (a^2+b^2)*cosh(x)/b^3/(a+b*sinh(x)) +--R +--R +--R (77) +--R x +--R +-------+ a tanh(-) - b +--R 2 | 2 2 2 +--R (- 12a b sinh(x) - 12a )\|b + a atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 2 3 2 +--R b cosh(x)sinh(x) + (- 3a b cosh(x) + (3b + 6a b)x)sinh(x) +--R + +--R 3 2 2 3 +--R (- 2b - 6a b)cosh(x) + (3a b + 6a )x +--R / +--R 5 4 +--R 2b sinh(x) + 2a b +--R Type: Expression Integer +--E 77 + +--S 78 of 552 +a0715:= integrate(t0715,x) +--R +--R +--R (78) +--R 4 2 3 +--R 24a b sinh(x) + (96a b cosh(x) + 48a )sinh(x) +--R + +--R 2 2 2 +--R (144a b cosh(x) + 144a cosh(x) - 24a b)sinh(x) +--R + +--R 3 2 2 +--R (96a b cosh(x) + 144a cosh(x) - 48a b cosh(x))sinh(x) +--R + +--R 4 2 3 2 +--R 24a b cosh(x) + 48a cosh(x) - 24a b cosh(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R * +--R log +--R +-------+ +--R | 2 2 2 2 +--R (2b sinh(x) + 2b cosh(x) + 2a)\|b + a + b sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) + b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 3 6 3 2 5 +--R b sinh(x) + (6b cosh(x) - 6a b )sinh(x) +--R + +--R 3 2 2 3 2 3 2 4 +--R (15b cosh(x) - 30a b cosh(x) + (12b + 24a b)x - b - 16a b)sinh(x) +--R + +--R 3 3 2 2 +--R 20b cosh(x) - 60a b cosh(x) +--R + +--R 3 2 3 2 2 3 2 +--R ((48b + 96a b)x - 4b - 64a b)cosh(x) + (24a b + 48a )x + 16a b +--R + +--R 3 +--R 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 2 3 +--R 15b cosh(x) - 60a b cosh(x) +--R + +--R 3 2 3 2 2 +--R ((72b + 144a b)x - 6b - 96a b)cosh(x) +--R + +--R 2 3 2 3 3 2 3 +--R ((72a b + 144a )x + 48a b + 48a )cosh(x) + (- 12b - 24a b)x - 17b +--R + +--R 2 +--R - 32a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 5 2 4 +--R 6b cosh(x) - 30a b cosh(x) +--R + +--R 3 2 3 2 3 +--R ((48b + 96a b)x - 4b - 64a b)cosh(x) +--R + +--R 2 3 2 3 2 +--R ((72a b + 144a )x + 48a b + 48a )cosh(x) +--R + +--R 3 2 3 2 2 +--R ((- 24b - 48a b)x - 34b - 64a b)cosh(x) + 6a b +--R * +--R sinh(x) +--R + +--R 3 6 2 5 3 2 3 2 4 +--R b cosh(x) - 6a b cosh(x) + ((12b + 24a b)x - b - 16a b)cosh(x) +--R + +--R 2 3 2 3 3 +--R ((24a b + 48a )x + 16a b + 16a )cosh(x) +--R + +--R 3 2 3 2 2 2 3 +--R ((- 12b - 24a b)x - 17b - 32a b)cosh(x) + 6a b cosh(x) + b +--R / +--R 5 4 5 4 3 +--R 8b sinh(x) + (32b cosh(x) + 16a b )sinh(x) +--R + +--R 5 2 4 5 2 +--R (48b cosh(x) + 48a b cosh(x) - 8b )sinh(x) +--R + +--R 5 3 4 2 5 5 4 +--R (32b cosh(x) + 48a b cosh(x) - 16b cosh(x))sinh(x) + 8b cosh(x) +--R + +--R 4 3 5 2 +--R 16a b cosh(x) - 8b cosh(x) +--R Type: Union(Expression Integer,...) +--E 78 + +--S 79 of 552 +m0715:= a0715-r0715 +--R +--R +--R (79) +--R 2 5 2 2 4 +--R 24a b sinh(x) + (96a b cosh(x) + 72a b)sinh(x) +--R + +--R 2 2 2 2 3 3 +--R (144a b cosh(x) + 240a b cosh(x) - 24a b + 48a )sinh(x) +--R + +--R 2 3 2 2 2 3 +--R 96a b cosh(x) + 288a b cosh(x) + (- 48a b + 144a )cosh(x) +--R + +--R 2 +--R - 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 2 3 2 3 2 +--R 24a b cosh(x) + 144a b cosh(x) + (- 24a b + 144a )cosh(x) +--R + +--R 2 +--R - 48a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 2 2 +--R 24a b cosh(x) + 48a cosh(x) - 24a b cosh(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R * +--R log +--R +-------+ +--R | 2 2 2 2 +--R (2b sinh(x) + 2b cosh(x) + 2a)\|b + a + b sinh(x) +--R + +--R 2 2 2 2 2 +--R (2b cosh(x) + 2a b)sinh(x) + b cosh(x) + 2a b cosh(x) + b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 5 2 2 4 +--R 48a b sinh(x) + (192a b cosh(x) + 144a b)sinh(x) +--R + +--R 2 2 2 2 3 3 +--R (288a b cosh(x) + 480a b cosh(x) - 48a b + 96a )sinh(x) +--R + +--R 2 3 2 2 2 3 +--R 192a b cosh(x) + 576a b cosh(x) + (- 96a b + 288a )cosh(x) +--R + +--R 2 +--R - 48a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 2 3 2 3 2 +--R 48a b cosh(x) + 288a b cosh(x) + (- 48a b + 288a )cosh(x) +--R + +--R 2 +--R - 96a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 4 3 3 2 2 +--R 48a b cosh(x) + 96a cosh(x) - 48a b cosh(x) +--R * +--R x +--R +-------+ a tanh(-) - b +--R | 2 2 2 +--R \|b + a atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 4 7 4 3 6 +--R b sinh(x) + (2b cosh(x) - 5a b )sinh(x) +--R + +--R 4 2 3 4 2 2 5 +--R (- b cosh(x) - 20a b cosh(x) - b - 22a b )sinh(x) +--R + +--R 4 3 3 2 4 2 2 3 4 +--R (- 4b cosh(x) - 21a b cosh(x) + (8b - 46a b )cosh(x) + 15a b )sinh(x) +--R + +--R 4 4 3 3 4 2 2 2 +--R - b cosh(x) + 8a b cosh(x) + (34b + 12a b )cosh(x) +--R + +--R 3 3 4 2 2 4 +--R (48a b + 32a b)cosh(x) - 17b - 16a b + 16a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 5 3 4 4 2 2 3 +--R 2b cosh(x) + 25a b cosh(x) + (48b + 92a b )cosh(x) +--R + +--R 3 3 2 4 2 2 4 3 +--R (66a b + 96a b)cosh(x) + (- 42b - 40a b + 48a )cosh(x) - 11a b +--R + +--R 3 +--R - 32a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 6 3 5 4 2 2 4 +--R b cosh(x) + 12a b cosh(x) + (31b + 74a b )cosh(x) +--R + +--R 3 3 3 4 2 2 4 2 +--R (48a b + 96a b)cosh(x) + (- 33b - 32a b + 48a )cosh(x) +--R + +--R 3 3 4 2 2 +--R (- 28a b - 64a b)cosh(x) + b + 6a b +--R * +--R sinh(x) +--R + +--R 3 6 4 2 2 5 3 3 4 +--R a b cosh(x) + (8b + 18a b )cosh(x) + (15a b + 32a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (- 8b - 8a b + 16a )cosh(x) + (- 17a b - 32a b)cosh(x) +--R + +--R 2 2 3 +--R 6a b cosh(x) + a b +--R / +--R 6 5 6 5 4 +--R 8b sinh(x) + (32b cosh(x) + 24a b )sinh(x) +--R + +--R 6 2 5 6 2 4 3 +--R (48b cosh(x) + 80a b cosh(x) - 8b + 16a b )sinh(x) +--R + +--R 6 3 5 2 6 2 4 5 +--R (32b cosh(x) + 96a b cosh(x) + (- 16b + 48a b )cosh(x) - 8a b ) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 4 5 3 6 2 4 2 +--R 8b cosh(x) + 48a b cosh(x) + (- 8b + 48a b )cosh(x) +--R + +--R 5 +--R - 16a b cosh(x) +--R * +--R sinh(x) +--R + +--R 5 4 2 4 3 5 2 +--R 8a b cosh(x) + 16a b cosh(x) - 8a b cosh(x) +--R Type: Expression Integer +--E 79 + +--S 80 of 552 +d0715:= D(m0715,x) +--R +--R +--R (80) +--R 5 10 5 2 4 9 +--R - a b sinh(x) + (- 4a b cosh(x) - 2a b )sinh(x) +--R + +--R 5 2 5 3 3 8 +--R (- 4a b cosh(x) + 18a b + 27a b )sinh(x) +--R + +--R 5 3 2 4 2 5 3 3 +--R 4a b cosh(x) + 24a b cosh(x) + (100a b + 164a b )cosh(x) +--R + +--R 2 4 4 2 +--R 64a b + 100a b +--R * +--R 7 +--R sinh(x) +--R + +--R 5 4 2 4 3 5 3 3 2 +--R 10a b cosh(x) + 48a b cosh(x) + (234a b + 380a b )cosh(x) +--R + +--R 2 4 4 2 5 3 3 5 +--R (336a b + 496a b )cosh(x) - 16a b + 62a b + 120a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 5 2 4 4 5 3 3 3 +--R 4a b cosh(x) + 20a b cosh(x) + (288a b + 396a b )cosh(x) +--R + +--R 2 4 4 2 2 +--R (736a b + 956a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (- 60a b + 348a b + 528a b)cosh(x) - 56a b - 8a b + 48a +--R * +--R 5 +--R sinh(x) +--R + +--R 5 6 2 4 5 5 3 3 4 +--R - 4a b cosh(x) - 32a b cosh(x) + (178a b + 114a b )cosh(x) +--R + +--R 2 4 4 2 3 +--R (832a b + 840a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 80a b + 778a b + 888a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (- 192a b + 64a b + 192a )cosh(x) + 14a b - 52a b - 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 7 2 4 6 5 3 3 5 +--R - 4a b cosh(x) - 40a b cosh(x) + (20a b - 132a b )cosh(x) +--R + +--R 2 4 4 2 4 +--R (464a b + 220a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 28a b + 872a b + 672a b)cosh(x) +--R + +--R 2 4 4 2 6 2 +--R (- 224a b + 288a b + 288a )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (28a b - 180a b - 48a b)cosh(x) + 24a b - 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 8 2 4 7 5 3 3 6 +--R - a b cosh(x) - 16a b cosh(x) + (- 42a b - 132a b )cosh(x) +--R + +--R 2 4 4 2 5 5 3 3 5 4 +--R (64a b - 160a b )cosh(x) + (32a b + 498a b + 168a b)cosh(x) +--R + +--R 2 4 4 2 6 3 5 3 3 2 +--R (- 80a b + 400a b + 192a )cosh(x) + (10a b - 216a b )cosh(x) +--R + +--R 2 4 4 2 5 3 3 +--R (48a b - 48a b )cosh(x) + a b + 10a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 8 5 3 3 7 +--R - 2a b cosh(x) + (- 24a b - 44a b )cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 5 +--R (- 48a b - 124a b )cosh(x) + (32a b + 124a b - 48a b)cosh(x) +--R + +--R 2 4 4 2 6 4 +--R (24a b + 232a b + 48a )cosh(x) +--R + +--R 5 3 3 5 3 2 4 4 2 2 +--R (- 8a b - 100a b + 48a b)cosh(x) + (24a b - 60a b )cosh(x) +--R + +--R 3 3 2 4 +--R 20a b cosh(x) + 2a b +--R * +--R sinh(x) +--R + +--R 5 3 3 8 2 4 4 2 7 +--R (- 4a b - 5a b )cosh(x) + (- 16a b - 24a b )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 5 +--R (8a b + 6a b - 24a b)cosh(x) + (16a b + 48a b )cosh(x) +--R + +--R 5 3 3 5 4 4 2 3 3 3 2 +--R (- 4a b - 12a b + 24a b)cosh(x) - 24a b cosh(x) + 10a b cosh(x) +--R + +--R 3 3 +--R a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 6 10 6 5 9 +--R 2b sinh(x) + (8b cosh(x) + 4a b )sinh(x) +--R + +--R 6 2 6 2 4 8 +--R (8b cosh(x) - 12b - 30a b )sinh(x) +--R + +--R 6 3 5 2 6 2 4 +--R - 8b cosh(x) - 48a b cosh(x) + (- 56b - 184a b )cosh(x) +--R + +--R 5 3 3 +--R 16a b - 56a b +--R * +--R 7 +--R sinh(x) +--R + +--R 6 4 5 3 6 2 4 2 +--R - 20b cosh(x) - 96a b cosh(x) + (- 108b - 400a b )cosh(x) +--R + +--R 5 3 3 6 2 4 4 2 +--R (96a b - 224a b )cosh(x) - 16b + 140a b + 72a b +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 5 4 6 2 4 3 +--R - 8b cosh(x) - 40a b cosh(x) + (- 96b - 312a b )cosh(x) +--R + +--R 5 3 3 2 6 2 4 4 2 +--R (208a b - 232a b )cosh(x) + (- 72b + 600a b + 432a b )cosh(x) +--R + +--R 5 3 3 5 +--R - 80a b + 112a b + 192a b +--R * +--R 5 +--R sinh(x) +--R + +--R 6 6 5 5 6 2 4 4 +--R 8b cosh(x) + 64a b cosh(x) + (4b + 132a b )cosh(x) +--R + +--R 5 3 3 3 +--R (256a b + 240a b )cosh(x) +--R + +--R 6 2 4 4 2 2 +--R (- 128b + 1012a b + 1080a b )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 +--R (- 288a b + 448a b + 864a b)cosh(x) - 4b - 112a b - 96a b +--R + +--R 6 +--R 96a +--R * +--R 4 +--R sinh(x) +--R + +--R 6 7 5 6 6 2 4 5 +--R 8b cosh(x) + 80a b cosh(x) + (104b + 408a b )cosh(x) +--R + +--R 5 3 3 4 +--R (272a b + 760a b )cosh(x) +--R + +--R 6 2 4 4 2 3 +--R (- 136b + 848a b + 1440a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 416a b + 672a b + 1536a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 3 5 +--R (- 8b - 360a b - 288a b + 384a )cosh(x) - 24a b - 96a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 8 5 7 6 2 4 6 +--R 2b cosh(x) + 32a b cosh(x) + (108b + 288a b )cosh(x) +--R + +--R 5 3 3 5 +--R (256a b + 704a b )cosh(x) +--R + +--R 6 2 4 4 2 4 +--R (- 112b + 372a b + 1080a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 320a b + 448a b + 1344a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 +--R (4b - 408a b - 288a b + 576a )cosh(x) +--R + +--R 3 3 5 6 2 4 4 2 +--R (- 96a b - 288a b)cosh(x) - 2b + 4a b + 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 8 6 2 4 7 +--R 4a b cosh(x) + (48b + 88a b )cosh(x) +--R + +--R 5 3 3 6 6 2 4 4 2 5 +--R (144a b + 296a b )cosh(x) + (- 64b + 88a b + 432a b )cosh(x) +--R + +--R 5 3 3 5 4 +--R (- 144a b + 112a b + 576a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 +--R (16b - 184a b - 96a b + 384a )cosh(x) +--R + +--R 3 3 5 2 2 4 4 2 5 +--R (- 120a b - 288a b)cosh(x) + (8a b + 48a b )cosh(x) - 4a b +--R * +--R sinh(x) +--R + +--R 6 2 4 8 5 3 3 7 +--R (8b + 10a b )cosh(x) + (32a b + 48a b )cosh(x) +--R + +--R 6 2 4 4 2 6 5 5 5 +--R (- 16b + 12a b + 72a b )cosh(x) + (- 32a b + 96a b)cosh(x) +--R + +--R 6 2 4 6 4 3 3 5 3 +--R (8b - 24a b + 96a )cosh(x) + (- 48a b - 96a b)cosh(x) +--R + +--R 2 4 4 2 2 2 4 +--R (4a b + 24a b )cosh(x) - 2a b +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 5 10 5 2 4 9 +--R a b sinh(x) + (4a b cosh(x) + 2a b )sinh(x) +--R + +--R 5 2 5 3 3 8 +--R (4a b cosh(x) - 18a b - 27a b )sinh(x) +--R + +--R 5 3 2 4 2 5 3 3 +--R - 4a b cosh(x) - 24a b cosh(x) + (- 100a b - 164a b )cosh(x) +--R + +--R 2 4 4 2 +--R - 64a b - 100a b +--R * +--R 7 +--R sinh(x) +--R + +--R 5 4 2 4 3 5 3 3 2 +--R - 10a b cosh(x) - 48a b cosh(x) + (- 234a b - 380a b )cosh(x) +--R + +--R 2 4 4 2 5 3 3 5 +--R (- 336a b - 496a b )cosh(x) + 16a b - 62a b - 120a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 5 2 4 4 5 3 3 3 +--R - 4a b cosh(x) - 20a b cosh(x) + (- 288a b - 396a b )cosh(x) +--R + +--R 2 4 4 2 2 5 3 3 5 +--R (- 736a b - 956a b )cosh(x) + (60a b - 348a b - 528a b)cosh(x) +--R + +--R 2 4 4 2 6 +--R 56a b + 8a b - 48a +--R * +--R 5 +--R sinh(x) +--R + +--R 5 6 2 4 5 5 3 3 4 +--R 4a b cosh(x) + 32a b cosh(x) + (- 178a b - 114a b )cosh(x) +--R + +--R 2 4 4 2 3 5 3 3 5 2 +--R (- 832a b - 840a b )cosh(x) + (80a b - 778a b - 888a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (192a b - 64a b - 192a )cosh(x) - 14a b + 52a b + 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 7 2 4 6 5 3 3 5 +--R 4a b cosh(x) + 40a b cosh(x) + (- 20a b + 132a b )cosh(x) +--R + +--R 2 4 4 2 4 5 3 3 5 3 +--R (- 464a b - 220a b )cosh(x) + (28a b - 872a b - 672a b)cosh(x) +--R + +--R 2 4 4 2 6 2 +--R (224a b - 288a b - 288a )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (- 28a b + 180a b + 48a b)cosh(x) - 24a b + 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 8 2 4 7 5 3 3 6 +--R a b cosh(x) + 16a b cosh(x) + (42a b + 132a b )cosh(x) +--R + +--R 2 4 4 2 5 5 3 3 5 4 +--R (- 64a b + 160a b )cosh(x) + (- 32a b - 498a b - 168a b)cosh(x) +--R + +--R 2 4 4 2 6 3 5 3 3 2 +--R (80a b - 400a b - 192a )cosh(x) + (- 10a b + 216a b )cosh(x) +--R + +--R 2 4 4 2 5 3 3 +--R (- 48a b + 48a b )cosh(x) - a b - 10a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 8 5 3 3 7 +--R 2a b cosh(x) + (24a b + 44a b )cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 5 +--R (48a b + 124a b )cosh(x) + (- 32a b - 124a b + 48a b)cosh(x) +--R + +--R 2 4 4 2 6 4 +--R (- 24a b - 232a b - 48a )cosh(x) +--R + +--R 5 3 3 5 3 2 4 4 2 2 +--R (8a b + 100a b - 48a b)cosh(x) + (- 24a b + 60a b )cosh(x) +--R + +--R 3 3 2 4 +--R - 20a b cosh(x) - 2a b +--R * +--R sinh(x) +--R + +--R 5 3 3 8 2 4 4 2 7 +--R (4a b + 5a b )cosh(x) + (16a b + 24a b )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 5 +--R (- 8a b - 6a b + 24a b)cosh(x) + (- 16a b - 48a b )cosh(x) +--R + +--R 5 3 3 5 4 4 2 3 3 3 2 3 3 +--R (4a b + 12a b - 24a b)cosh(x) + 24a b cosh(x) - 10a b cosh(x) - a b +--R / +--R 7 8 7 2 6 7 +--R 4a b sinh(x) + (24a b cosh(x) + 24a b )sinh(x) +--R + +--R 7 2 2 6 7 3 5 6 +--R (60a b cosh(x) + 128a b cosh(x) - 8a b + 52a b )sinh(x) +--R + +--R 7 3 2 6 2 7 3 5 +--R 80a b cosh(x) + 280a b cosh(x) + (- 32a b + 248a b )cosh(x) +--R + +--R 2 6 4 4 +--R - 32a b + 48a b +--R * +--R 5 +--R sinh(x) +--R + +--R 7 4 2 6 3 7 3 5 2 +--R 60a b cosh(x) + 320a b cosh(x) + (- 48a b + 476a b )cosh(x) +--R + +--R 2 6 4 4 7 3 5 5 3 +--R (- 112a b + 208a b )cosh(x) + 4a b - 40a b + 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 5 2 6 4 7 3 5 3 +--R 24a b cosh(x) + 200a b cosh(x) + (- 32a b + 464a b )cosh(x) +--R + +--R 2 6 4 4 2 7 3 5 5 3 +--R (- 144a b + 352a b )cosh(x) + (8a b - 128a b + 64a b )cosh(x) +--R + +--R 2 6 4 4 +--R 8a b - 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 2 6 5 7 3 5 4 +--R 4a b cosh(x) + 64a b cosh(x) + (- 8a b + 236a b )cosh(x) +--R + +--R 2 6 4 4 3 7 3 5 5 3 2 +--R (- 80a b + 288a b )cosh(x) + (4a b - 144a b + 96a b )cosh(x) +--R + +--R 2 6 4 4 3 5 +--R (16a b - 48a b )cosh(x) + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 6 6 3 5 5 2 6 4 4 4 +--R 8a b cosh(x) + 56a b cosh(x) + (- 16a b + 112a b )cosh(x) +--R + +--R 3 5 5 3 3 2 6 4 4 2 +--R (- 64a b + 64a b )cosh(x) + (8a b - 48a b )cosh(x) +--R + +--R 3 5 +--R 8a b cosh(x) +--R * +--R sinh(x) +--R + +--R 3 5 6 4 4 5 3 5 5 3 4 +--R 4a b cosh(x) + 16a b cosh(x) + (- 8a b + 16a b )cosh(x) +--R + +--R 4 4 3 3 5 2 +--R - 16a b cosh(x) + 4a b cosh(x) +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 8 8 8 7 7 +--R - 8b sinh(x) + (- 48b cosh(x) - 48a b )sinh(x) +--R + +--R 8 2 7 8 2 6 6 +--R (- 120b cosh(x) - 256a b cosh(x) + 16b - 104a b )sinh(x) +--R + +--R 8 3 7 2 8 2 6 +--R - 160b cosh(x) - 560a b cosh(x) + (64b - 496a b )cosh(x) +--R + +--R 7 3 5 +--R 64a b - 96a b +--R * +--R 5 +--R sinh(x) +--R + +--R 8 4 7 3 8 2 6 2 +--R - 120b cosh(x) - 640a b cosh(x) + (96b - 952a b )cosh(x) +--R + +--R 7 3 5 8 2 6 4 4 +--R (224a b - 416a b )cosh(x) - 8b + 80a b - 32a b +--R * +--R 4 +--R sinh(x) +--R + +--R 8 5 7 4 8 2 6 3 +--R - 48b cosh(x) - 400a b cosh(x) + (64b - 928a b )cosh(x) +--R + +--R 7 3 5 2 8 2 6 4 4 +--R (288a b - 704a b )cosh(x) + (- 16b + 256a b - 128a b )cosh(x) +--R + +--R 7 3 5 +--R - 16a b + 32a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 6 7 5 8 2 6 4 +--R - 8b cosh(x) - 128a b cosh(x) + (16b - 472a b )cosh(x) +--R + +--R 7 3 5 3 8 2 6 4 4 2 +--R (160a b - 576a b )cosh(x) + (- 8b + 288a b - 192a b )cosh(x) +--R + +--R 7 3 5 2 6 +--R (- 32a b + 96a b )cosh(x) - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 2 6 5 7 3 5 4 +--R - 16a b cosh(x) - 112a b cosh(x) + (32a b - 224a b )cosh(x) +--R + +--R 2 6 4 4 3 7 3 5 2 +--R (128a b - 128a b )cosh(x) + (- 16a b + 96a b )cosh(x) +--R + +--R 2 6 +--R - 16a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 6 6 3 5 5 2 6 4 4 4 +--R - 8a b cosh(x) - 32a b cosh(x) + (16a b - 32a b )cosh(x) +--R + +--R 3 5 3 2 6 2 +--R 32a b cosh(x) - 8a b cosh(x) +--R * +--R x +--R tanh(-) +--R 2 +--R + +--R 7 8 7 2 6 7 +--R - 4a b sinh(x) + (- 24a b cosh(x) - 24a b )sinh(x) +--R + +--R 7 2 2 6 7 3 5 6 +--R (- 60a b cosh(x) - 128a b cosh(x) + 8a b - 52a b )sinh(x) +--R + +--R 7 3 2 6 2 7 3 5 +--R - 80a b cosh(x) - 280a b cosh(x) + (32a b - 248a b )cosh(x) +--R + +--R 2 6 4 4 +--R 32a b - 48a b +--R * +--R 5 +--R sinh(x) +--R + +--R 7 4 2 6 3 7 3 5 2 +--R - 60a b cosh(x) - 320a b cosh(x) + (48a b - 476a b )cosh(x) +--R + +--R 2 6 4 4 7 3 5 5 3 +--R (112a b - 208a b )cosh(x) - 4a b + 40a b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 5 2 6 4 7 3 5 3 +--R - 24a b cosh(x) - 200a b cosh(x) + (32a b - 464a b )cosh(x) +--R + +--R 2 6 4 4 2 7 3 5 5 3 +--R (144a b - 352a b )cosh(x) + (- 8a b + 128a b - 64a b )cosh(x) +--R + +--R 2 6 4 4 +--R - 8a b + 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 2 6 5 7 3 5 4 +--R - 4a b cosh(x) - 64a b cosh(x) + (8a b - 236a b )cosh(x) +--R + +--R 2 6 4 4 3 7 3 5 5 3 2 +--R (80a b - 288a b )cosh(x) + (- 4a b + 144a b - 96a b )cosh(x) +--R + +--R 2 6 4 4 3 5 +--R (- 16a b + 48a b )cosh(x) - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 6 6 3 5 5 2 6 4 4 4 +--R - 8a b cosh(x) - 56a b cosh(x) + (16a b - 112a b )cosh(x) +--R + +--R 3 5 5 3 3 2 6 4 4 2 3 5 +--R (64a b - 64a b )cosh(x) + (- 8a b + 48a b )cosh(x) - 8a b cosh(x) +--R * +--R sinh(x) +--R + +--R 3 5 6 4 4 5 3 5 5 3 4 +--R - 4a b cosh(x) - 16a b cosh(x) + (8a b - 16a b )cosh(x) +--R + +--R 4 4 3 3 5 2 +--R 16a b cosh(x) - 4a b cosh(x) +--R Type: Expression Integer +--E 80 + +--S 81 of 552 +t0716:= cosh(x)^2/(%i+sinh(x))^2 +--R +--R +--R 2 +--R cosh(x) +--R (81) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 81 + +--S 82 of 552 +r0716:= x+2*%i*cosh(x)/(1-%i*sinh(x)) +--R +--R +--R x sinh(x) - 2cosh(x) + %i x +--R (82) --------------------------- +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 82 + +--S 83 of 552 +a0716:= integrate(t0716,x) +--R +--R +--R x sinh(x) + x cosh(x) + %i x + 4%i +--R (83) ---------------------------------- +--R sinh(x) + cosh(x) + %i +--R Type: Union(Expression Complex Integer,...) +--E 83 + +--S 84 of 552 +m0716:= a0716-r0716 +--R +--R +--R 2 +--R (2cosh(x) + 4%i)sinh(x) + 2cosh(x) + 2%i cosh(x) - 4 +--R (84) ----------------------------------------------------- +--R 2 +--R sinh(x) + (cosh(x) + 2%i)sinh(x) + %i cosh(x) - 1 +--R Type: Expression Complex Integer +--E 84 + +--S 85 of 552 +d0716:= D(m0716,x) +--R +--R +--R (85) +--R 4 3 2 +--R 2sinh(x) + (4cosh(x) + 2%i)sinh(x) + (4%i cosh(x) + 2)sinh(x) +--R + +--R 3 2 4 +--R (- 4cosh(x) - 2%i cosh(x) + 4cosh(x) + 2%i)sinh(x) - 2cosh(x) +--R + +--R 3 2 +--R - 4%i cosh(x) + 2cosh(x) + 4%i cosh(x) +--R / +--R 4 3 +--R sinh(x) + (2cosh(x) + 4%i)sinh(x) +--R + +--R 2 2 +--R (cosh(x) + 6%i cosh(x) - 6)sinh(x) +--R + +--R 2 2 +--R (2%i cosh(x) - 6cosh(x) - 4%i)sinh(x) - cosh(x) - 2%i cosh(x) + 1 +--R Type: Expression Complex Integer +--E 85 + +--S 86 of 552 +t0717:= cosh(x)^3/(%i+sinh(x))^2 +--R +--R +--R 3 +--R cosh(x) +--R (86) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 86 + +--S 87 of 552 +r0717:= -2*%i*log(%i+sinh(x))+sinh(x) +--R +--R +--R (87) - 2%i log(sinh(x) + %i) + sinh(x) +--R Type: Expression Complex Integer +--E 87 + +--S 88 of 552 +a0717:= integrate(t0717,x) +--R +--R +--R (88) +--R 2 +--R (- 8%i sinh(x) - 8%i cosh(x))log(sinh(x) + cosh(x) + %i) + sinh(x) +--R + +--R 2 +--R (2cosh(x) + 4%i x)sinh(x) + cosh(x) + 4%i x cosh(x) - 1 +--R / +--R 2sinh(x) + 2cosh(x) +--R Type: Union(Expression Complex Integer,...) +--E 88 + +--S 89 of 552 +m0717:= a0717-r0717 +--R +--R +--R (89) +--R (- 8%i sinh(x) - 8%i cosh(x))log(sinh(x) + cosh(x) + %i) +--R + +--R 2 +--R (4%i sinh(x) + 4%i cosh(x))log(sinh(x) + %i) - sinh(x) + 4%i x sinh(x) +--R + +--R 2 +--R cosh(x) + 4%i x cosh(x) - 1 +--R / +--R 2sinh(x) + 2cosh(x) +--R Type: Expression Complex Integer +--E 89 + +--S 90 of 552 +d0717:= D(m0717,x) +--R +--R +--R (90) +--R 4 3 2 2 +--R sinh(x) + (cosh(x) - 2%i)sinh(x) + (- cosh(x) - 3%i cosh(x))sinh(x) +--R + +--R 3 2 3 +--R (- cosh(x) + 2%i cosh(x) + cosh(x) - 2%i)sinh(x) + 3%i cosh(x) +--R + +--R 2 +--R cosh(x) - 3%i cosh(x) - 1 +--R / +--R 3 2 +--R 2sinh(x) + (4cosh(x) + 4%i)sinh(x) +--R + +--R 2 2 +--R (2cosh(x) + 6%i cosh(x) - 2)sinh(x) + 2%i cosh(x) - 2cosh(x) +--R Type: Expression Complex Integer +--E 90 + +--S 91 of 552 +t0718:= cosh(x)^4/(%i+sinh(x))^2 +--R +--R +--R 4 +--R cosh(x) +--R (91) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 91 + +--S 92 of 552 +r0718:= -3/2*x-2*%i*cosh(x)+1/2*cosh(x)*sinh(x) +--R +--R +--R cosh(x)sinh(x) - 4%i cosh(x) - 3x +--R (92) --------------------------------- +--R 2 +--R Type: Expression Complex Integer +--E 92 + +--S 93 of 552 +a0718:= integrate(t0718,x) +--R +--R +--R cosh(x)sinh(x) - 4%i cosh(x) - 3x +--R (93) --------------------------------- +--R 2 +--R Type: Union(Expression Complex Integer,...) +--E 93 + +--S 94 of 552 +m0718:= a0718-r0718 +--R +--R +--R (94) 0 +--R Type: Expression Complex Integer +--E 94 + +--S 95 of 552 +d0718:= D(m0718,x) +--R +--R +--R (95) 0 +--R Type: Expression Complex Integer +--E 95 + +--S 96 of 552 +t0719:= tanh(x)/(a+b*sinh(x))^2 +--R +--R +--R tanh(x) +--R (96) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 96 + +--S 97 of 552 +r0719:= 2*a*b*atan(sinh(x))/(a^2+b^2)^2+_ + 1/2*(a^2-b^2)*log(cosh(x)^2)/(a^2+b^2)^2-_ + (a^2-b^2)*log(a+b*sinh(x))/(a^2+b^2)^2+a/(a^2+b^2)/(a+b*sinh(x)) +--R +--R +--R (97) +--R 3 2 2 3 +--R ((2b - 2a b)sinh(x) + 2a b - 2a )log(b sinh(x) + a) +--R + +--R 3 2 2 3 2 +--R ((- b + a b)sinh(x) - a b + a )log(cosh(x) ) +--R + +--R 2 2 2 3 +--R (4a b sinh(x) + 4a b)atan(sinh(x)) + 2a b + 2a +--R / +--R 5 2 3 4 4 3 2 5 +--R (2b + 4a b + 2a b)sinh(x) + 2a b + 4a b + 2a +--R Type: Expression Integer +--E 97 + +--S 98 of 552 +a0719:= integrate(t0719,x) +--R +--R +--R (98) +--R 3 2 2 3 2 2 3 +--R (- b + a b)sinh(x) + ((- 2b + 2a b)cosh(x) - 2a b + 2a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- b + a b)cosh(x) + (- 2a b + 2a )cosh(x) + b - a b +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 2 2 3 2 2 3 +--R (b - a b)sinh(x) + ((2b - 2a b)cosh(x) + 2a b - 2a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (b - a b)cosh(x) + (2a b - 2a )cosh(x) - b + a b +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 2 2 2 2 +--R 4a b sinh(x) + (8a b cosh(x) + 8a b)sinh(x) + 4a b cosh(x) +--R + +--R 2 2 +--R 8a b cosh(x) - 4a b +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 2 3 2 3 +--R (2a b + 2a )sinh(x) + (2a b + 2a )cosh(x) +--R / +--R 5 2 3 4 2 +--R (b + 2a b + a b)sinh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R ((2b + 4a b + 2a b)cosh(x) + 2a b + 4a b + 2a )sinh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 5 2 3 +--R (b + 2a b + a b)cosh(x) + (2a b + 4a b + 2a )cosh(x) - b - 2a b +--R + +--R 4 +--R - a b +--R Type: Union(Expression Integer,...) +--E 98 + +--S 99 of 552 +m0719:= a0719-r0719 +--R +--R +--R (99) +--R 4 2 2 3 +--R (- 2b + 2a b )sinh(x) +--R + +--R 4 2 2 3 3 2 +--R ((- 4b + 4a b )cosh(x) - 6a b + 6a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (- 2b + 2a b )cosh(x) + (- 8a b + 8a b)cosh(x) + 2b - 6a b +--R + +--R 4 +--R 4a +--R * +--R sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (- 2a b + 2a b)cosh(x) + (- 4a b + 4a )cosh(x) + 2a b - 2a b +--R * +--R log(b sinh(x) + a) +--R + +--R 4 2 2 3 4 2 2 3 3 2 +--R (b - a b )sinh(x) + ((2b - 2a b )cosh(x) + 3a b - 3a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 4 +--R ((b - a b )cosh(x) + (4a b - 4a b)cosh(x) - b + 3a b - 2a ) +--R * +--R sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (a b - a b)cosh(x) + (2a b - 2a )cosh(x) - a b + a b +--R * +--R 2 +--R log(cosh(x) ) +--R + +--R 4 2 2 3 +--R (- 2b + 2a b )sinh(x) +--R + +--R 4 2 2 3 3 2 +--R ((- 4b + 4a b )cosh(x) - 6a b + 6a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (- 2b + 2a b )cosh(x) + (- 8a b + 8a b)cosh(x) + 2b - 6a b +--R + +--R 4 +--R 4a +--R * +--R sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (- 2a b + 2a b)cosh(x) + (- 4a b + 4a )cosh(x) + 2a b - 2a b +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 4 2 2 3 4 2 2 3 3 2 +--R (2b - 2a b )sinh(x) + ((4b - 4a b )cosh(x) + 6a b - 6a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 4 +--R ((2b - 2a b )cosh(x) + (8a b - 8a b)cosh(x) - 2b + 6a b - 4a ) +--R * +--R sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (2a b - 2a b)cosh(x) + (4a b - 4a )cosh(x) - 2a b + 2a b +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 3 3 2 2 2 +--R 8a b sinh(x) + (16a b cosh(x) + 24a b )sinh(x) +--R + +--R 3 2 2 2 3 3 +--R (8a b cosh(x) + 32a b cosh(x) - 8a b + 16a b)sinh(x) +--R + +--R 2 2 2 3 2 2 +--R 8a b cosh(x) + 16a b cosh(x) - 8a b +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 3 3 3 2 2 2 +--R - 4a b sinh(x) + (- 8a b cosh(x) - 12a b )sinh(x) +--R + +--R 3 2 2 2 3 3 +--R (- 4a b cosh(x) - 16a b cosh(x) + 4a b - 8a b)sinh(x) +--R + +--R 2 2 2 3 2 2 +--R - 4a b cosh(x) - 8a b cosh(x) + 4a b +--R * +--R atan(sinh(x)) +--R + +--R 3 3 2 3 3 2 3 3 +--R (2a b + 2a b)sinh(x) + (- 2a b - 2a b)cosh(x) + 2a b + 2a b +--R / +--R 6 2 4 4 2 3 +--R (2b + 4a b + 2a b )sinh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 2 +--R ((4b + 8a b + 4a b )cosh(x) + 6a b + 12a b + 6a b)sinh(x) +--R + +--R 6 2 4 4 2 2 5 3 3 5 6 +--R (2b + 4a b + 2a b )cosh(x) + (8a b + 16a b + 8a b)cosh(x) - 2b +--R + +--R 4 2 6 +--R 6a b + 4a +--R * +--R sinh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 6 5 +--R (2a b + 4a b + 2a b)cosh(x) + (4a b + 8a b + 4a )cosh(x) - 2a b +--R + +--R 3 3 5 +--R - 4a b - 2a b +--R Type: Expression Integer +--E 99 + +--S 100 of 552 +d0719:= D(m0719,x) +--R +--R +--R (100) +--R 5 3 3 9 +--R (2a b - 2a b )sinh(x) +--R + +--R 5 3 3 2 4 4 2 8 +--R ((9a b - 9a b )cosh(x) + 20a b - 4a b )sinh(x) +--R + +--R 5 3 3 2 2 4 4 2 5 +--R (14a b - 14a b )cosh(x) + (76a b - 16a b )cosh(x) - 10a b +--R + +--R 3 3 5 +--R 44a b - 2a b +--R * +--R 7 +--R sinh(x) +--R + +--R 5 3 3 3 2 4 4 2 2 +--R (5a b - 5a b )cosh(x) + (92a b - 20a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (- 24a b + 142a b - 6a b)cosh(x) - 20a b + 36a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 3 3 4 2 4 3 +--R (- 10a b + 10a b )cosh(x) + 4a b cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 +--R (- 6a b + 122a b - 4a b)cosh(x) + (- 12a b + 96a b )cosh(x) +--R + +--R 5 5 +--R - 10a b + 10a b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 3 3 5 2 4 4 2 4 +--R (- 13a b + 13a b )cosh(x) + (- 84a b + 20a b )cosh(x) +--R + +--R 5 3 3 5 3 2 4 4 2 2 +--R (29a b - 65a b + 4a b)cosh(x) + (84a b + 44a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (- 34a b + 72a b + 26a b)cosh(x) - 36a b + 20a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 3 6 2 4 4 2 5 +--R (- 6a b + 6a b )cosh(x) + (- 76a b + 16a b )cosh(x) +--R + +--R 5 3 3 5 4 2 4 4 2 3 +--R (34a b - 168a b + 6a b)cosh(x) + (144a b - 88a b )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 +--R (- 38a b + 190a b + 8a b)cosh(x) + (- 92a b + 80a b )cosh(x) +--R + +--R 5 3 3 5 +--R 2a b - 44a b + 10a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 3 3 7 2 4 4 2 6 +--R (- a b + a b )cosh(x) + (- 28a b + 4a b )cosh(x) +--R + +--R 5 3 3 5 5 2 4 4 2 4 +--R (18a b - 100a b + 2a b)cosh(x) + (92a b - 108a b )cosh(x) +--R + +--R 5 3 3 5 3 2 4 4 2 2 +--R (- 17a b + 173a b - 28a b)cosh(x) + (- 76a b + 116a b )cosh(x) +--R + +--R 3 3 5 2 4 4 2 +--R (- 78a b + 30a b)cosh(x) + 4a b - 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 7 5 3 3 6 +--R - 4a b cosh(x) + (6a b - 22a b )cosh(x) +--R + +--R 2 4 4 2 5 5 3 3 5 4 +--R (28a b - 40a b )cosh(x) + (- 4a b + 62a b - 26a b)cosh(x) +--R + +--R 2 4 4 2 3 5 3 3 5 2 +--R (- 20a b + 72a b )cosh(x) + (- 2a b - 42a b + 28a b)cosh(x) +--R + +--R 2 4 4 2 3 3 5 +--R (- 4a b - 32a b )cosh(x) + 2a b - 2a b +--R * +--R sinh(x) +--R + +--R 5 3 3 7 2 4 4 2 6 +--R (a b - a b )cosh(x) + (4a b - 4a b )cosh(x) +--R + +--R 5 3 3 5 5 4 2 4 +--R (- a b + 7a b - 6a b)cosh(x) + 16a b cosh(x) +--R + +--R 5 3 3 5 3 2 4 4 2 2 +--R (- a b - 7a b + 8a b)cosh(x) + (- 4a b - 12a b )cosh(x) +--R + +--R 5 3 3 5 +--R (a b + a b - 2a b)cosh(x) +--R / +--R 8 2 6 4 4 10 +--R (b + 2a b + a b )sinh(x) +--R + +--R 8 2 6 4 4 7 3 5 5 3 9 +--R ((6b + 12a b + 6a b )cosh(x) + 6a b + 12a b + 6a b )sinh(x) +--R + +--R 8 2 6 4 4 2 7 3 5 5 3 +--R (15b + 30a b + 15a b )cosh(x) + (32a b + 64a b + 32a b )cosh(x) +--R + +--R 2 6 4 4 6 2 +--R 13a b + 26a b + 13a b +--R * +--R 8 +--R sinh(x) +--R + +--R 8 2 6 4 4 3 +--R (20b + 40a b + 20a b )cosh(x) +--R + +--R 7 3 5 5 3 2 +--R (70a b + 140a b + 70a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 7 3 5 5 3 +--R (2b + 66a b + 126a b + 62a b )cosh(x) + 4a b + 20a b + 28a b +--R + +--R 7 +--R 12a b +--R * +--R 7 +--R sinh(x) +--R + +--R 8 2 6 4 4 4 +--R (15b + 30a b + 15a b )cosh(x) +--R + +--R 7 3 5 5 3 3 +--R (80a b + 160a b + 80a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 2 +--R (9b + 137a b + 247a b + 119a b )cosh(x) +--R + +--R 7 3 5 5 3 7 8 2 6 4 4 +--R (24a b + 100a b + 128a b + 52a b)cosh(x) - 2b + 12a b + 34a b +--R + +--R 6 2 8 +--R 24a b + 4a +--R * +--R 6 +--R sinh(x) +--R + +--R 8 2 6 4 4 5 7 3 5 5 3 4 +--R (6b + 12a b + 6a b )cosh(x) + (50a b + 100a b + 50a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 3 +--R (16b + 148a b + 248a b + 116a b )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (58a b + 204a b + 234a b + 88a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 7 3 5 +--R (- 6b + 54a b + 142a b + 98a b + 16a )cosh(x) - 8a b + 4a b +--R + +--R 5 3 7 +--R 32a b + 20a b +--R * +--R 5 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 7 3 5 5 3 5 +--R (b + 2a b + a b )cosh(x) + (16a b + 32a b + 16a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 4 +--R (14b + 87a b + 132a b + 59a b )cosh(x) +--R + +--R 7 3 5 5 3 7 3 +--R (72a b + 216a b + 216a b + 72a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 2 +--R (- 7b + 103a b + 251a b + 165a b + 24a )cosh(x) +--R + +--R 7 3 5 5 3 7 2 6 4 4 6 2 +--R (- 16a b + 36a b + 120a b + 68a b)cosh(x) - 6a b - 4a b + 10a b +--R + +--R 8 +--R 8a +--R * +--R 4 +--R sinh(x) +--R + +--R 7 3 5 5 3 6 +--R (2a b + 4a b + 2a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 5 +--R (6b + 26a b + 34a b + 14a b )cosh(x) +--R + +--R 7 3 5 5 3 7 4 +--R (48a b + 124a b + 104a b + 28a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 3 +--R (- 4b + 104a b + 236a b + 144a b + 16a )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (- 14a b + 68a b + 178a b + 96a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 7 3 5 +--R (- 2b - 10a b + 10a b + 42a b + 24a )cosh(x) - 4a b - 4a b +--R + +--R 5 3 7 +--R 4a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 2 6 +--R (b + 3a b + 3a b + a b )cosh(x) +--R + +--R 7 3 5 5 3 7 5 +--R (16a b + 36a b + 24a b + 4a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 4 +--R (- b + 56a b + 119a b + 66a b + 4a )cosh(x) +--R + +--R 7 3 5 5 3 7 3 +--R (- 8a b + 56a b + 136a b + 72a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 2 +--R (- b - 5a b + 21a b + 53a b + 28a )cosh(x) +--R + +--R 7 3 5 5 3 7 8 2 6 4 4 8 +--R (- 8a b - 4a b + 16a b + 12a b)cosh(x) + b - 6a b - 11a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 7 3 5 5 3 6 2 6 4 4 6 2 5 +--R (2a b + 4a b + 2a b )cosh(x) + (14a b + 28a b + 14a b )cosh(x) +--R + +--R 7 3 5 5 3 7 4 +--R (- 2a b + 24a b + 54a b + 28a b)cosh(x) +--R + +--R 2 6 4 4 6 2 8 3 +--R (- 4a b + 8a b + 28a b + 16a )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (- 2a b + 4a b + 14a b + 8a b)cosh(x) +--R + +--R 2 6 4 4 6 2 8 7 5 3 7 +--R (- 10a b - 12a b + 6a b + 8a )cosh(x) + 2a b - 6a b - 4a b +--R * +--R sinh(x) +--R + +--R 2 6 4 4 6 2 6 3 5 5 3 7 5 +--R (a b + 2a b + a b )cosh(x) + (4a b + 8a b + 4a b)cosh(x) +--R + +--R 2 6 4 4 6 2 8 4 +--R (- a b + 2a b + 7a b + 4a )cosh(x) +--R + +--R 2 6 4 4 6 2 8 2 3 5 5 3 7 +--R (- a b + 2a b + 7a b + 4a )cosh(x) + (- 4a b - 8a b - 4a b)cosh(x) +--R + +--R 2 6 4 4 6 2 +--R a b + 2a b + a b +--R Type: Expression Integer +--E 100 + +--S 101 of 552 +t0720:= tanh(x)^2/(a+b*sinh(x))^2 +--R +--R +--R 2 +--R tanh(x) +--R (101) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 101 + +--S 102 of 552 +r0720:= -2*a^3*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(5/2)+_ + 4*a*b^2*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(5/2)-_ + 2*a*b*sech(x)/(a^2+b^2)^2-a^2*b*cosh(x)/(a^2+b^2)^2/(a+b*sinh(x))-_ + (a^2-b^2)*tanh(x)/(a^2+b^2)^2 +--R +--R +--R (102) +--R x +--R a tanh(-) - b +--R 3 3 2 2 4 2 +--R ((- 4a b + 2a b)sinh(x) - 4a b + 2a )atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 2 3 2 +--R ((b - a b)sinh(x) + a b - a )tanh(x) - 2a b sech(x)sinh(x) +--R + +--R 2 2 +--R - 2a b sech(x) - a b cosh(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R +-------+ +--R 5 2 3 4 4 3 2 5 | 2 2 +--R ((b + 2a b + a b)sinh(x) + a b + 2a b + a )\|b + a +--R Type: Expression Integer +--E 102 + +--S 103 of 552 +a0720:= integrate(t0720,x) +--R +--R +--R (103) +--R 3 3 4 3 3 2 2 4 3 +--R (2a b - a b)sinh(x) + ((8a b - 4a b)cosh(x) + 4a b - 2a )sinh(x) +--R + +--R 3 3 2 2 2 4 2 +--R ((12a b - 6a b)cosh(x) + (12a b - 6a )cosh(x))sinh(x) +--R + +--R 3 3 3 2 2 4 2 2 2 4 +--R ((8a b - 4a b)cosh(x) + (12a b - 6a )cosh(x) + 4a b - 2a ) +--R * +--R sinh(x) +--R + +--R 3 3 4 2 2 4 3 2 2 4 +--R (2a b - a b)cosh(x) + (4a b - 2a )cosh(x) + (4a b - 2a )cosh(x) +--R + +--R 3 3 +--R - 2a b + a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 3 3 +--R (- 4a b + 2a )sinh(x) +--R + +--R 2 3 3 2 2 +--R ((- 12a b + 6a )cosh(x) - 2b - 8a b)sinh(x) +--R + +--R 2 3 2 3 2 3 +--R ((- 12a b + 6a )cosh(x) + (- 4b - 16a b)cosh(x) + 6a )sinh(x) +--R + +--R 2 3 3 3 2 2 3 3 +--R (- 4a b + 2a )cosh(x) + (- 2b - 8a b)cosh(x) + 6a cosh(x) + 2b +--R + +--R 2 +--R - 4a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 5 2 3 4 4 +--R (b + 2a b + a b)sinh(x) +--R + +--R 5 2 3 4 4 3 2 5 3 +--R ((4b + 8a b + 4a b)cosh(x) + 2a b + 4a b + 2a )sinh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 2 +--R ((6b + 12a b + 6a b)cosh(x) + (6a b + 12a b + 6a )cosh(x))sinh(x) +--R + +--R 5 2 3 4 3 4 3 2 5 2 +--R (4b + 8a b + 4a b)cosh(x) + (6a b + 12a b + 6a )cosh(x) +--R + +--R 4 3 2 5 +--R 2a b + 4a b + 2a +--R * +--R sinh(x) +--R + +--R 5 2 3 4 4 4 3 2 5 3 +--R (b + 2a b + a b)cosh(x) + (2a b + 4a b + 2a )cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (2a b + 4a b + 2a )cosh(x) - b - 2a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 103 + +--S 104 of 552 +m0720:= a0720-r0720 +--R +--R +--R (104) +--R 4 3 2 5 +--R (2a b - a b )sinh(x) +--R + +--R 4 3 2 2 3 4 4 +--R ((8a b - 4a b )cosh(x) + 6a b - 3a b)sinh(x) +--R + +--R 4 3 2 2 2 3 4 3 2 5 +--R ((12a b - 6a b )cosh(x) + (20a b - 10a b)cosh(x) + 4a b - 2a ) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (8a b - 4a b )cosh(x) + (24a b - 12a b)cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (12a b - 6a )cosh(x) + 4a b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (2a b - a b )cosh(x) + (12a b - 6a b)cosh(x) +--R + +--R 3 2 5 2 2 3 4 4 3 2 +--R (12a b - 6a )cosh(x) + (4a b - 2a b)cosh(x) - 2a b + 5a b +--R + +--R 5 +--R - 2a +--R * +--R sinh(x) +--R + +--R 2 3 4 4 3 2 5 3 3 2 5 +--R (2a b - a b)cosh(x) + (4a b - 2a )cosh(x) + (4a b - 2a )cosh(x) +--R + +--R 2 3 4 +--R - 2a b + a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 4 3 2 5 +--R (4a b - 2a b )sinh(x) +--R + +--R 4 3 2 2 3 4 4 +--R ((16a b - 8a b )cosh(x) + 12a b - 6a b)sinh(x) +--R + +--R 4 3 2 2 2 3 4 3 2 5 +--R ((24a b - 12a b )cosh(x) + (40a b - 20a b)cosh(x) + 8a b - 4a ) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (16a b - 8a b )cosh(x) + (48a b - 24a b)cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (24a b - 12a )cosh(x) + 8a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (4a b - 2a b )cosh(x) + (24a b - 12a b)cosh(x) +--R + +--R 3 2 5 2 2 3 4 4 3 2 +--R (24a b - 12a )cosh(x) + (8a b - 4a b)cosh(x) - 4a b + 10a b +--R + +--R 5 +--R - 4a +--R * +--R sinh(x) +--R + +--R 2 3 4 4 3 2 5 3 3 2 5 +--R (4a b - 2a b)cosh(x) + (8a b - 4a )cosh(x) + (8a b - 4a )cosh(x) +--R + +--R 2 3 4 +--R - 4a b + 2a b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 4 2 2 5 +--R (- b + a b )sinh(x) +--R + +--R 4 2 2 3 3 4 +--R ((- 4b + 4a b )cosh(x) - 3a b + 3a b)sinh(x) +--R + +--R 4 2 2 2 3 3 2 2 +--R (- 6b + 6a b )cosh(x) + (- 10a b + 10a b)cosh(x) - 2a b +--R + +--R 4 +--R 2a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (- 4b + 4a b )cosh(x) + (- 12a b + 12a b)cosh(x) +--R + +--R 2 2 4 3 3 +--R (- 6a b + 6a )cosh(x) - 2a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (- b + a b )cosh(x) + (- 6a b + 6a b)cosh(x) +--R + +--R 2 2 4 2 3 3 4 +--R (- 6a b + 6a )cosh(x) + (- 2a b + 2a b)cosh(x) + b +--R + +--R 2 2 4 +--R - 3a b + 2a +--R * +--R sinh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (- a b + a b)cosh(x) + (- 2a b + 2a )cosh(x) +--R + +--R 2 2 4 3 3 +--R (- 2a b + 2a )cosh(x) + a b - a b +--R * +--R tanh(x) +--R + +--R 3 5 +--R 2a b sech(x)sinh(x) +--R + +--R 3 2 2 2 2 3 3 4 +--R ((8a b cosh(x) + 6a b )sech(x) + a b cosh(x) - 4a b + 2a b)sinh(x) +--R + +--R 3 2 2 2 3 2 2 2 +--R (12a b cosh(x) + 20a b cosh(x) + 4a b)sech(x) + 4a b cosh(x) +--R + +--R 3 3 4 2 2 4 +--R (- 12a b + 8a b)cosh(x) - 2b - 12a b + 2a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R (8a b cosh(x) + 24a b cosh(x) + 12a b cosh(x) + 4a b )sech(x) +--R + +--R 2 2 3 3 3 2 +--R 6a b cosh(x) + (- 12a b + 12a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (- 4b - 28a b + 6a )cosh(x) - 2a b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 2 2 3 3 2 +--R 2a b cosh(x) + 12a b cosh(x) + 12a b cosh(x) +--R + +--R 2 2 3 3 +--R 4a b cosh(x) - 2a b + 4a b +--R * +--R sech(x) +--R + +--R 2 2 4 3 3 3 +--R 4a b cosh(x) + (- 4a b + 8a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (- 2b - 20a b + 6a )cosh(x) + (- 4a b - 8a b)cosh(x) + 2b +--R + +--R 2 2 4 +--R - 4a b + 6a +--R * +--R sinh(x) +--R + +--R 2 2 4 3 3 3 2 2 +--R (2a b cosh(x) + 4a b cosh(x) + 4a b cosh(x) - 2a b )sech(x) +--R + +--R 2 2 5 3 4 2 2 4 3 +--R a b cosh(x) + 2a b cosh(x) + (- 4a b + 2a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (- 2a b - 6a b)cosh(x) + (- a b + 6a )cosh(x) + 2a b - 4a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 6 2 4 4 2 5 +--R (b + 2a b + a b )sinh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 4 +--R ((4b + 8a b + 4a b )cosh(x) + 3a b + 6a b + 3a b)sinh(x) +--R + +--R 6 2 4 4 2 2 5 3 3 5 +--R (6b + 12a b + 6a b )cosh(x) + (10a b + 20a b + 10a b)cosh(x) +--R + +--R 2 4 4 2 6 +--R 2a b + 4a b + 2a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 4 2 3 5 3 3 5 2 +--R (4b + 8a b + 4a b )cosh(x) + (12a b + 24a b + 12a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (6a b + 12a b + 6a )cosh(x) + 2a b + 4a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 4 2 4 5 3 3 5 3 +--R (b + 2a b + a b )cosh(x) + (6a b + 12a b + 6a b)cosh(x) +--R + +--R 2 4 4 2 6 2 5 3 3 5 6 +--R (6a b + 12a b + 6a )cosh(x) + (2a b + 4a b + 2a b)cosh(x) - b +--R + +--R 4 2 6 +--R 3a b + 2a +--R * +--R sinh(x) +--R + +--R 5 3 3 5 4 2 4 4 2 6 3 +--R (a b + 2a b + a b)cosh(x) + (2a b + 4a b + 2a )cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (2a b + 4a b + 2a )cosh(x) - a b - 2a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 104 + +--S 105 of 552 +--d0720:= D(m0720,x) +--E 105 + +--S 106 of 552 +t0721:= tanh(x)^3/(a+b*sinh(x))^2 +--R +--R +--R 3 +--R tanh(x) +--R (105) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 106 + +--S 107 of 552 +r0721:= 4*a^3*b*atan(sinh(x))/(a^2+b^2)^3-a*b*atan(sinh(x))/(a^2+b^2)^2+_ + 1/2*a^2*(a^2-3*b^2)*log(cosh(x)^2)/(a^2+b^2)^3-_ + a^2*(a^2-3*b^2)*log(a+b*sinh(x))/(a^2+b^2)^3+_ + 1/2*(a^2-b^2)*sech(x)^2/(a^2+b^2)^2+a^3/(a^2+b^2)^2/(a+b*sinh(x))-_ + a*b*sech(x)*tanh(x)/(a^2+b^2)^2 +--R +--R +--R (106) +--R 2 3 4 3 2 5 +--R ((6a b - 2a b)sinh(x) + 6a b - 2a )log(b sinh(x) + a) +--R + +--R 2 3 4 3 2 5 2 +--R ((- 3a b + a b)sinh(x) - 3a b + a )log(cosh(x) ) +--R + +--R 4 3 2 2 3 4 +--R ((- 2a b + 6a b )sinh(x) - 2a b + 6a b)atan(sinh(x)) +--R + +--R 4 3 2 2 3 4 +--R ((- 2a b - 2a b )sech(x)sinh(x) + (- 2a b - 2a b)sech(x))tanh(x) +--R + +--R 5 4 2 4 5 2 3 2 5 +--R (- b + a b)sech(x) sinh(x) + (- a b + a )sech(x) + 2a b + 2a +--R / +--R 7 2 5 4 3 6 6 3 4 5 2 7 +--R (2b + 6a b + 6a b + 2a b)sinh(x) + 2a b + 6a b + 6a b + 2a +--R Type: Expression Integer +--E 107 + +--S 108 of 552 +a0721:= integrate(t0721,x) +--R +--R +--R (107) +--R 2 3 4 6 +--R (- 3a b + a b)sinh(x) +--R + +--R 2 3 4 3 2 5 5 +--R ((- 18a b + 6a b)cosh(x) - 6a b + 2a )sinh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 +--R (- 45a b + 15a b)cosh(x) + (- 30a b + 10a )cosh(x) - 3a b +--R + +--R 4 +--R a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (- 60a b + 20a b)cosh(x) + (- 60a b + 20a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (- 12a b + 4a b)cosh(x) - 12a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (- 45a b + 15a b)cosh(x) + (- 60a b + 20a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (- 18a b + 6a b)cosh(x) + (- 36a b + 12a )cosh(x) + 3a b - a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (- 18a b + 6a b)cosh(x) + (- 30a b + 10a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (- 12a b + 4a b)cosh(x) + (- 36a b + 12a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (6a b - 2a b)cosh(x) - 6a b + 2a +--R * +--R sinh(x) +--R + +--R 2 3 4 6 3 2 5 5 +--R (- 3a b + a b)cosh(x) + (- 6a b + 2a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (- 3a b + a b)cosh(x) + (- 12a b + 4a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (3a b - a b)cosh(x) + (- 6a b + 2a )cosh(x) + 3a b - a b +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 3 4 6 +--R (3a b - a b)sinh(x) +--R + +--R 2 3 4 3 2 5 5 +--R ((18a b - 6a b)cosh(x) + 6a b - 2a )sinh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R ((45a b - 15a b)cosh(x) + (30a b - 10a )cosh(x) + 3a b - a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (60a b - 20a b)cosh(x) + (60a b - 20a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (12a b - 4a b)cosh(x) + 12a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (45a b - 15a b)cosh(x) + (60a b - 20a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (18a b - 6a b)cosh(x) + (36a b - 12a )cosh(x) - 3a b + a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 5 3 2 5 4 +--R (18a b - 6a b)cosh(x) + (30a b - 10a )cosh(x) +--R + +--R 2 3 4 3 3 2 5 2 +--R (12a b - 4a b)cosh(x) + (36a b - 12a )cosh(x) +--R + +--R 2 3 4 3 2 5 +--R (- 6a b + 2a b)cosh(x) + 6a b - 2a +--R * +--R sinh(x) +--R + +--R 2 3 4 6 3 2 5 5 2 3 4 4 +--R (3a b - a b)cosh(x) + (6a b - 2a )cosh(x) + (3a b - a b)cosh(x) +--R + +--R 3 2 5 3 2 3 4 2 +--R (12a b - 4a )cosh(x) + (- 3a b + a b)cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (6a b - 2a )cosh(x) - 3a b + a b +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 4 3 2 6 +--R (- 2a b + 6a b )sinh(x) +--R + +--R 4 3 2 2 3 4 5 +--R ((- 12a b + 36a b )cosh(x) - 4a b + 12a b)sinh(x) +--R + +--R 4 3 2 2 2 3 4 4 +--R (- 30a b + 90a b )cosh(x) + (- 20a b + 60a b)cosh(x) - 2a b +--R + +--R 3 2 +--R 6a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (- 40a b + 120a b )cosh(x) + (- 40a b + 120a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (- 8a b + 24a b )cosh(x) - 8a b + 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- 30a b + 90a b )cosh(x) + (- 40a b + 120a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 +--R (- 12a b + 36a b )cosh(x) + (- 24a b + 72a b)cosh(x) + 2a b +--R + +--R 3 2 +--R - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (- 12a b + 36a b )cosh(x) + (- 20a b + 60a b)cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (- 8a b + 24a b )cosh(x) + (- 24a b + 72a b)cosh(x) +--R + +--R 4 3 2 2 3 4 +--R (4a b - 12a b )cosh(x) - 4a b + 12a b +--R * +--R sinh(x) +--R + +--R 4 3 2 6 2 3 4 5 +--R (- 2a b + 6a b )cosh(x) + (- 4a b + 12a b)cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- 2a b + 6a b )cosh(x) + (- 8a b + 24a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (2a b - 6a b )cosh(x) + (- 4a b + 12a b)cosh(x) + 2a b - 6a b +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 4 5 5 +--R (- 2a b + 2a )sinh(x) +--R + +--R 4 5 5 2 3 4 4 +--R ((- 10a b + 10a )cosh(x) - 2b - 4a b - 2a b)sinh(x) +--R + +--R 4 5 2 5 2 3 4 3 2 +--R (- 20a b + 20a )cosh(x) + (- 8b - 16a b - 8a b)cosh(x) + 8a b +--R + +--R 5 +--R 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 5 3 5 2 3 4 2 +--R (- 20a b + 20a )cosh(x) + (- 12b - 24a b - 12a b)cosh(x) +--R + +--R 3 2 5 5 2 3 4 +--R (24a b + 24a )cosh(x) + 2b + 4a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 4 5 2 3 4 3 +--R (- 10a b + 10a )cosh(x) + (- 8b - 16a b - 8a b)cosh(x) +--R + +--R 3 2 5 2 5 2 3 4 4 5 +--R (24a b + 24a )cosh(x) + (4b + 8a b + 4a b)cosh(x) - 2a b + 2a +--R * +--R sinh(x) +--R + +--R 4 5 5 5 2 3 4 4 +--R (- 2a b + 2a )cosh(x) + (- 2b - 4a b - 2a b)cosh(x) +--R + +--R 3 2 5 3 5 2 3 4 2 +--R (8a b + 8a )cosh(x) + (2b + 4a b + 2a b)cosh(x) +--R + +--R 4 5 +--R (- 2a b + 2a )cosh(x) +--R / +--R 7 2 5 4 3 6 6 +--R (b + 3a b + 3a b + a b)sinh(x) +--R + +--R 7 2 5 4 3 6 6 3 4 5 2 7 +--R ((6b + 18a b + 18a b + 6a b)cosh(x) + 2a b + 6a b + 6a b + 2a ) +--R * +--R 5 +--R sinh(x) +--R + +--R 7 2 5 4 3 6 2 +--R (15b + 45a b + 45a b + 15a b)cosh(x) +--R + +--R 6 3 4 5 2 7 7 2 5 4 3 6 +--R (10a b + 30a b + 30a b + 10a )cosh(x) + b + 3a b + 3a b + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 2 5 4 3 6 3 +--R (20b + 60a b + 60a b + 20a b)cosh(x) +--R + +--R 6 3 4 5 2 7 2 +--R (20a b + 60a b + 60a b + 20a )cosh(x) +--R + +--R 7 2 5 4 3 6 6 3 4 5 2 7 +--R (4b + 12a b + 12a b + 4a b)cosh(x) + 4a b + 12a b + 12a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 7 2 5 4 3 6 4 +--R (15b + 45a b + 45a b + 15a b)cosh(x) +--R + +--R 6 3 4 5 2 7 3 +--R (20a b + 60a b + 60a b + 20a )cosh(x) +--R + +--R 7 2 5 4 3 6 2 +--R (6b + 18a b + 18a b + 6a b)cosh(x) +--R + +--R 6 3 4 5 2 7 7 2 5 4 3 6 +--R (12a b + 36a b + 36a b + 12a )cosh(x) - b - 3a b - 3a b - a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 5 4 3 6 5 +--R (6b + 18a b + 18a b + 6a b)cosh(x) +--R + +--R 6 3 4 5 2 7 4 +--R (10a b + 30a b + 30a b + 10a )cosh(x) +--R + +--R 7 2 5 4 3 6 3 +--R (4b + 12a b + 12a b + 4a b)cosh(x) +--R + +--R 6 3 4 5 2 7 2 +--R (12a b + 36a b + 36a b + 12a )cosh(x) +--R + +--R 7 2 5 4 3 6 6 3 4 5 2 7 +--R (- 2b - 6a b - 6a b - 2a b)cosh(x) + 2a b + 6a b + 6a b + 2a +--R * +--R sinh(x) +--R + +--R 7 2 5 4 3 6 6 +--R (b + 3a b + 3a b + a b)cosh(x) +--R + +--R 6 3 4 5 2 7 5 +--R (2a b + 6a b + 6a b + 2a )cosh(x) +--R + +--R 7 2 5 4 3 6 4 +--R (b + 3a b + 3a b + a b)cosh(x) +--R + +--R 6 3 4 5 2 7 3 +--R (4a b + 12a b + 12a b + 4a )cosh(x) +--R + +--R 7 2 5 4 3 6 2 +--R (- b - 3a b - 3a b - a b)cosh(x) +--R + +--R 6 3 4 5 2 7 7 2 5 4 3 6 +--R (2a b + 6a b + 6a b + 2a )cosh(x) - b - 3a b - 3a b - a b +--R Type: Union(Expression Integer,...) +--E 108 + +--S 109 of 552 +m0721:= a0721-r0721 +--R +--R +--R (108) +--R 2 4 4 2 7 +--R (- 6a b + 2a b )sinh(x) +--R + +--R 2 4 4 2 3 3 5 6 +--R ((- 36a b + 12a b )cosh(x) - 18a b + 6a b)sinh(x) +--R + +--R 2 4 4 2 2 3 3 5 2 4 +--R (- 90a b + 30a b )cosh(x) + (- 96a b + 32a b)cosh(x) - 6a b +--R + +--R 4 2 6 +--R - 10a b + 4a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 4 2 3 3 3 5 2 +--R (- 120a b + 40a b )cosh(x) + (- 210a b + 70a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 5 +--R (- 24a b - 52a b + 20a )cosh(x) - 30a b + 10a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 4 2 4 3 3 5 3 +--R (- 90a b + 30a b )cosh(x) + (- 240a b + 80a b)cosh(x) +--R + +--R 2 4 4 2 6 2 3 3 5 +--R (- 36a b - 108a b + 40a )cosh(x) + (- 96a b + 32a b)cosh(x) +--R + +--R 2 4 4 2 6 +--R 6a b - 26a b + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 4 2 5 3 3 5 4 +--R (- 36a b + 12a b )cosh(x) + (- 150a b + 50a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 3 5 2 +--R (- 24a b - 112a b + 40a )cosh(x) + (- 108a b + 36a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 5 +--R (12a b - 76a b + 24a )cosh(x) - 6a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 4 2 6 3 3 5 5 +--R (- 6a b + 2a b )cosh(x) + (- 48a b + 16a b)cosh(x) +--R + +--R 2 4 4 2 6 4 3 3 5 3 +--R (- 6a b - 58a b + 20a )cosh(x) + (- 48a b + 16a b)cosh(x) +--R + +--R 2 4 4 2 6 2 2 4 4 2 6 +--R (6a b - 74a b + 24a )cosh(x) + 6a b - 14a b + 4a +--R * +--R sinh(x) +--R + +--R 3 3 5 6 4 2 6 5 +--R (- 6a b + 2a b)cosh(x) + (- 12a b + 4a )cosh(x) +--R + +--R 3 3 5 4 4 2 6 3 +--R (- 6a b + 2a b)cosh(x) + (- 24a b + 8a )cosh(x) +--R + +--R 3 3 5 2 4 2 6 3 3 5 +--R (6a b - 2a b)cosh(x) + (- 12a b + 4a )cosh(x) + 6a b - 2a b +--R * +--R log(b sinh(x) + a) +--R + +--R 2 4 4 2 7 +--R (3a b - a b )sinh(x) +--R + +--R 2 4 4 2 3 3 5 6 +--R ((18a b - 6a b )cosh(x) + 9a b - 3a b)sinh(x) +--R + +--R 2 4 4 2 2 3 3 5 2 4 +--R (45a b - 15a b )cosh(x) + (48a b - 16a b)cosh(x) + 3a b +--R + +--R 4 2 6 +--R 5a b - 2a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 4 2 3 3 3 5 2 +--R (60a b - 20a b )cosh(x) + (105a b - 35a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 5 +--R (12a b + 26a b - 10a )cosh(x) + 15a b - 5a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 4 2 4 3 3 5 3 +--R (45a b - 15a b )cosh(x) + (120a b - 40a b)cosh(x) +--R + +--R 2 4 4 2 6 2 3 3 5 +--R (18a b + 54a b - 20a )cosh(x) + (48a b - 16a b)cosh(x) +--R + +--R 2 4 4 2 6 +--R - 3a b + 13a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 4 2 5 3 3 5 4 +--R (18a b - 6a b )cosh(x) + (75a b - 25a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 3 5 2 +--R (12a b + 56a b - 20a )cosh(x) + (54a b - 18a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 5 +--R (- 6a b + 38a b - 12a )cosh(x) + 3a b - a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 4 2 6 3 3 5 5 +--R (3a b - a b )cosh(x) + (24a b - 8a b)cosh(x) +--R + +--R 2 4 4 2 6 4 3 3 5 3 +--R (3a b + 29a b - 10a )cosh(x) + (24a b - 8a b)cosh(x) +--R + +--R 2 4 4 2 6 2 2 4 4 2 6 +--R (- 3a b + 37a b - 12a )cosh(x) - 3a b + 7a b - 2a +--R * +--R sinh(x) +--R + +--R 3 3 5 6 4 2 6 5 3 3 5 4 +--R (3a b - a b)cosh(x) + (6a b - 2a )cosh(x) + (3a b - a b)cosh(x) +--R + +--R 4 2 6 3 3 3 5 2 +--R (12a b - 4a )cosh(x) + (- 3a b + a b)cosh(x) +--R + +--R 4 2 6 3 3 5 +--R (6a b - 2a )cosh(x) - 3a b + a b +--R * +--R 2 +--R log(cosh(x) ) +--R + +--R 2 4 4 2 7 +--R (- 6a b + 2a b )sinh(x) +--R + +--R 2 4 4 2 3 3 5 6 +--R ((- 36a b + 12a b )cosh(x) - 18a b + 6a b)sinh(x) +--R + +--R 2 4 4 2 2 3 3 5 2 4 +--R (- 90a b + 30a b )cosh(x) + (- 96a b + 32a b)cosh(x) - 6a b +--R + +--R 4 2 6 +--R - 10a b + 4a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 4 2 3 3 3 5 2 +--R (- 120a b + 40a b )cosh(x) + (- 210a b + 70a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 5 +--R (- 24a b - 52a b + 20a )cosh(x) - 30a b + 10a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 4 2 4 3 3 5 3 +--R (- 90a b + 30a b )cosh(x) + (- 240a b + 80a b)cosh(x) +--R + +--R 2 4 4 2 6 2 3 3 5 +--R (- 36a b - 108a b + 40a )cosh(x) + (- 96a b + 32a b)cosh(x) +--R + +--R 2 4 4 2 6 +--R 6a b - 26a b + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 4 2 5 3 3 5 4 +--R (- 36a b + 12a b )cosh(x) + (- 150a b + 50a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 3 5 2 +--R (- 24a b - 112a b + 40a )cosh(x) + (- 108a b + 36a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 5 +--R (12a b - 76a b + 24a )cosh(x) - 6a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 4 2 6 3 3 5 5 +--R (- 6a b + 2a b )cosh(x) + (- 48a b + 16a b)cosh(x) +--R + +--R 2 4 4 2 6 4 3 3 5 3 +--R (- 6a b - 58a b + 20a )cosh(x) + (- 48a b + 16a b)cosh(x) +--R + +--R 2 4 4 2 6 2 2 4 4 2 6 +--R (6a b - 74a b + 24a )cosh(x) + 6a b - 14a b + 4a +--R * +--R sinh(x) +--R + +--R 3 3 5 6 4 2 6 5 +--R (- 6a b + 2a b)cosh(x) + (- 12a b + 4a )cosh(x) +--R + +--R 3 3 5 4 4 2 6 3 +--R (- 6a b + 2a b)cosh(x) + (- 24a b + 8a )cosh(x) +--R + +--R 3 3 5 2 4 2 6 3 3 5 +--R (6a b - 2a b)cosh(x) + (- 12a b + 4a )cosh(x) + 6a b - 2a b +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 4 4 2 7 +--R (6a b - 2a b )sinh(x) +--R + +--R 2 4 4 2 3 3 5 6 +--R ((36a b - 12a b )cosh(x) + 18a b - 6a b)sinh(x) +--R + +--R 2 4 4 2 2 3 3 5 2 4 +--R (90a b - 30a b )cosh(x) + (96a b - 32a b)cosh(x) + 6a b +--R + +--R 4 2 6 +--R 10a b - 4a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 4 2 3 3 3 5 2 +--R (120a b - 40a b )cosh(x) + (210a b - 70a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 5 +--R (24a b + 52a b - 20a )cosh(x) + 30a b - 10a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 4 2 4 3 3 5 3 +--R (90a b - 30a b )cosh(x) + (240a b - 80a b)cosh(x) +--R + +--R 2 4 4 2 6 2 3 3 5 +--R (36a b + 108a b - 40a )cosh(x) + (96a b - 32a b)cosh(x) +--R + +--R 2 4 4 2 6 +--R - 6a b + 26a b - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 4 2 5 3 3 5 4 +--R (36a b - 12a b )cosh(x) + (150a b - 50a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 3 5 2 +--R (24a b + 112a b - 40a )cosh(x) + (108a b - 36a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 5 +--R (- 12a b + 76a b - 24a )cosh(x) + 6a b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 4 2 6 3 3 5 5 +--R (6a b - 2a b )cosh(x) + (48a b - 16a b)cosh(x) +--R + +--R 2 4 4 2 6 4 3 3 5 3 +--R (6a b + 58a b - 20a )cosh(x) + (48a b - 16a b)cosh(x) +--R + +--R 2 4 4 2 6 2 2 4 4 2 6 +--R (- 6a b + 74a b - 24a )cosh(x) - 6a b + 14a b - 4a +--R * +--R sinh(x) +--R + +--R 3 3 5 6 4 2 6 5 +--R (6a b - 2a b)cosh(x) + (12a b - 4a )cosh(x) +--R + +--R 3 3 5 4 4 2 6 3 +--R (6a b - 2a b)cosh(x) + (24a b - 8a )cosh(x) +--R + +--R 3 3 5 2 4 2 6 3 3 5 +--R (- 6a b + 2a b)cosh(x) + (12a b - 4a )cosh(x) - 6a b + 2a b +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 5 3 3 7 +--R (- 4a b + 12a b )sinh(x) +--R + +--R 5 3 3 2 4 4 2 6 +--R ((- 24a b + 72a b )cosh(x) - 12a b + 36a b )sinh(x) +--R + +--R 5 3 3 2 2 4 4 2 +--R (- 60a b + 180a b )cosh(x) + (- 64a b + 192a b )cosh(x) +--R + +--R 5 3 3 5 +--R - 4a b + 4a b + 24a b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 3 3 3 2 4 4 2 2 +--R (- 80a b + 240a b )cosh(x) + (- 140a b + 420a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (- 16a b + 8a b + 120a b)cosh(x) - 20a b + 60a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 3 4 2 4 4 2 3 +--R (- 60a b + 180a b )cosh(x) + (- 160a b + 480a b )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 +--R (- 24a b - 8a b + 240a b)cosh(x) + (- 64a b + 192a b )cosh(x) +--R + +--R 5 3 3 5 +--R 4a b - 28a b + 48a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 3 3 5 2 4 4 2 4 +--R (- 24a b + 72a b )cosh(x) + (- 100a b + 300a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 16a b - 32a b + 240a b)cosh(x) +--R + +--R 2 4 4 2 2 5 3 3 5 +--R (- 72a b + 216a b )cosh(x) + (8a b - 72a b + 144a b)cosh(x) +--R + +--R 2 4 4 2 +--R - 4a b + 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 3 6 2 4 4 2 5 +--R (- 4a b + 12a b )cosh(x) + (- 32a b + 96a b )cosh(x) +--R + +--R 5 3 3 5 4 2 4 4 2 3 +--R (- 4a b - 28a b + 120a b)cosh(x) + (- 32a b + 96a b )cosh(x) +--R + +--R 5 3 3 5 2 5 3 3 5 +--R (4a b - 60a b + 144a b)cosh(x) + 4a b - 20a b + 24a b +--R * +--R sinh(x) +--R + +--R 2 4 4 2 6 3 3 5 5 +--R (- 4a b + 12a b )cosh(x) + (- 8a b + 24a b)cosh(x) +--R + +--R 2 4 4 2 4 3 3 5 3 +--R (- 4a b + 12a b )cosh(x) + (- 16a b + 48a b)cosh(x) +--R + +--R 2 4 4 2 2 3 3 5 2 4 4 2 +--R (4a b - 12a b )cosh(x) + (- 8a b + 24a b)cosh(x) + 4a b - 12a b +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 5 3 3 7 +--R (2a b - 6a b )sinh(x) +--R + +--R 5 3 3 2 4 4 2 6 +--R ((12a b - 36a b )cosh(x) + 6a b - 18a b )sinh(x) +--R + +--R 5 3 3 2 2 4 4 2 5 +--R (30a b - 90a b )cosh(x) + (32a b - 96a b )cosh(x) + 2a b +--R + +--R 3 3 5 +--R - 2a b - 12a b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 3 3 3 2 4 4 2 2 +--R (40a b - 120a b )cosh(x) + (70a b - 210a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (8a b - 4a b - 60a b)cosh(x) + 10a b - 30a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 3 4 2 4 4 2 3 +--R (30a b - 90a b )cosh(x) + (80a b - 240a b )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 +--R (12a b + 4a b - 120a b)cosh(x) + (32a b - 96a b )cosh(x) +--R + +--R 5 3 3 5 +--R - 2a b + 14a b - 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 3 3 5 2 4 4 2 4 +--R (12a b - 36a b )cosh(x) + (50a b - 150a b )cosh(x) +--R + +--R 5 3 3 5 3 2 4 4 2 2 +--R (8a b + 16a b - 120a b)cosh(x) + (36a b - 108a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (- 4a b + 36a b - 72a b)cosh(x) + 2a b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 3 6 2 4 4 2 5 +--R (2a b - 6a b )cosh(x) + (16a b - 48a b )cosh(x) +--R + +--R 5 3 3 5 4 2 4 4 2 3 +--R (2a b + 14a b - 60a b)cosh(x) + (16a b - 48a b )cosh(x) +--R + +--R 5 3 3 5 2 5 3 3 5 +--R (- 2a b + 30a b - 72a b)cosh(x) - 2a b + 10a b - 12a b +--R * +--R sinh(x) +--R + +--R 2 4 4 2 6 3 3 5 5 +--R (2a b - 6a b )cosh(x) + (4a b - 12a b)cosh(x) +--R + +--R 2 4 4 2 4 3 3 5 3 +--R (2a b - 6a b )cosh(x) + (8a b - 24a b)cosh(x) +--R + +--R 2 4 4 2 2 3 3 5 2 4 4 2 +--R (- 2a b + 6a b )cosh(x) + (4a b - 12a b)cosh(x) - 2a b + 6a b +--R * +--R atan(sinh(x)) +--R + +--R 5 3 3 7 +--R (2a b + 2a b )sech(x)sinh(x) +--R + +--R 5 3 3 2 4 4 2 6 +--R ((12a b + 12a b )cosh(x) + 6a b + 6a b )sech(x)sinh(x) +--R + +--R 5 3 3 2 2 4 4 2 5 +--R (30a b + 30a b )cosh(x) + (32a b + 32a b )cosh(x) + 2a b +--R + +--R 3 3 5 +--R 6a b + 4a b +--R * +--R 5 +--R sech(x)sinh(x) +--R + +--R 5 3 3 3 2 4 4 2 2 +--R (40a b + 40a b )cosh(x) + (70a b + 70a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (8a b + 28a b + 20a b)cosh(x) + 10a b + 10a b +--R * +--R 4 +--R sech(x)sinh(x) +--R + +--R 5 3 3 4 2 4 4 2 3 +--R (30a b + 30a b )cosh(x) + (80a b + 80a b )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 +--R (12a b + 52a b + 40a b)cosh(x) + (32a b + 32a b )cosh(x) +--R + +--R 5 3 3 5 +--R - 2a b + 6a b + 8a b +--R * +--R 3 +--R sech(x)sinh(x) +--R + +--R 5 3 3 5 2 4 4 2 4 +--R (12a b + 12a b )cosh(x) + (50a b + 50a b )cosh(x) +--R + +--R 5 3 3 5 3 2 4 4 2 2 +--R (8a b + 48a b + 40a b)cosh(x) + (36a b + 36a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (- 4a b + 20a b + 24a b)cosh(x) + 2a b + 2a b +--R * +--R 2 +--R sech(x)sinh(x) +--R + +--R 5 3 3 6 2 4 4 2 5 +--R (2a b + 2a b )cosh(x) + (16a b + 16a b )cosh(x) +--R + +--R 5 3 3 5 4 2 4 4 2 3 +--R (2a b + 22a b + 20a b)cosh(x) + (16a b + 16a b )cosh(x) +--R + +--R 5 3 3 5 2 5 3 3 5 +--R (- 2a b + 22a b + 24a b)cosh(x) - 2a b + 2a b + 4a b +--R * +--R sech(x)sinh(x) +--R + +--R 2 4 4 2 6 3 3 5 5 +--R (2a b + 2a b )cosh(x) + (4a b + 4a b)cosh(x) +--R + +--R 2 4 4 2 4 3 3 5 3 +--R (2a b + 2a b )cosh(x) + (8a b + 8a b)cosh(x) +--R + +--R 2 4 4 2 2 3 3 5 2 4 4 2 +--R (- 2a b - 2a b )cosh(x) + (4a b + 4a b)cosh(x) - 2a b - 2a b +--R * +--R sech(x) +--R * +--R tanh(x) +--R + +--R 6 4 2 2 7 +--R (b - a b )sech(x) sinh(x) +--R + +--R 6 4 2 5 5 2 5 3 3 5 +--R (((6b - 6a b )cosh(x) + 3a b - 3a b)sech(x) - 4a b - 2a b + 2a b) +--R * +--R 6 +--R sinh(x) +--R + +--R 6 4 2 2 5 5 6 2 4 +--R (15b - 15a b )cosh(x) + (16a b - 16a b)cosh(x) + b + 2a b +--R + +--R 4 2 6 +--R - a b - 2a +--R * +--R 2 +--R sech(x) +--R + +--R 5 3 3 5 6 2 4 4 2 +--R (- 20a b - 12a b + 8a b)cosh(x) - 4b - 12a b - 8a b +--R * +--R 5 +--R sinh(x) +--R + +--R 6 4 2 3 5 5 2 +--R (20b - 20a b )cosh(x) + (35a b - 35a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 5 +--R (4b + 10a b - 4a b - 10a )cosh(x) + 5a b - 5a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 3 3 5 2 +--R (- 40a b - 30a b + 10a b)cosh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 +--R (- 16b - 52a b - 36a b )cosh(x) - 4a b + 6a b + 10a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 4 2 4 5 5 3 +--R (15b - 15a b )cosh(x) + (40a b - 40a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 5 5 +--R (6b + 20a b - 6a b - 20a )cosh(x) + (16a b - 16a b)cosh(x) +--R + +--R 6 2 4 4 2 6 +--R - b + 4a b + a b - 4a +--R * +--R 2 +--R sech(x) +--R + +--R 5 3 3 3 6 2 4 4 2 2 +--R (- 40a b - 40a b )cosh(x) + (- 24b - 88a b - 64a b )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 +--R (- 16a b + 8a b + 24a b)cosh(x) + 4b + 8a b + 12a b + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 4 2 5 5 5 4 +--R (6b - 6a b )cosh(x) + (25a b - 25a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 5 5 2 +--R (4b + 20a b - 4a b - 20a )cosh(x) + (18a b - 18a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 5 +--R (- 2b + 12a b + 2a b - 12a )cosh(x) + a b - a b +--R * +--R 2 +--R sech(x) +--R + +--R 5 3 3 5 4 +--R (- 20a b - 30a b - 10a b)cosh(x) +--R + +--R 6 2 4 4 2 3 +--R (- 16b - 72a b - 56a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 24a b - 12a b + 12a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 3 5 +--R (8b + 16a b + 32a b + 24a )cosh(x) + 10a b + 10a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 4 2 6 5 5 5 +--R (b - a b )cosh(x) + (8a b - 8a b)cosh(x) +--R + +--R 6 2 4 4 2 6 4 5 5 3 +--R (b + 10a b - a b - 10a )cosh(x) + (8a b - 8a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 6 2 4 4 2 6 +--R (- b + 12a b + a b - 12a )cosh(x) - b + 2a b + a b - 2a +--R * +--R 2 +--R sech(x) +--R + +--R 5 3 3 5 5 6 2 4 4 2 4 +--R (- 4a b - 12a b - 8a b)cosh(x) + (- 4b - 28a b - 24a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 16a b - 24a b - 8a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 +--R (4b + 8a b + 28a b + 24a )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (4a b + 20a b + 16a b)cosh(x) - 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 5 5 6 2 4 6 5 5 5 4 +--R (a b - a b)cosh(x) + (2a b - 2a )cosh(x) + (a b - a b)cosh(x) +--R + +--R 2 4 6 3 5 5 2 2 4 6 +--R (4a b - 4a )cosh(x) + (- a b + a b)cosh(x) + (2a b - 2a )cosh(x) +--R + +--R 5 5 +--R - a b + a b +--R * +--R 2 +--R sech(x) +--R + +--R 3 3 5 6 2 4 4 2 5 +--R (- 2a b - 2a b)cosh(x) + (- 4a b - 4a b )cosh(x) +--R + +--R 5 3 3 5 4 4 2 6 3 +--R (- 4a b - 10a b - 6a b)cosh(x) + (8a b + 8a )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 3 3 5 +--R (4a b + 10a b + 6a b)cosh(x) + (- 4a b - 4a b )cosh(x) + 2a b + 2a b +--R / +--R 8 2 6 4 4 6 2 7 +--R (2b + 6a b + 6a b + 2a b )sinh(x) +--R + +--R 8 2 6 4 4 6 2 7 3 5 5 3 +--R (12b + 36a b + 36a b + 12a b )cosh(x) + 6a b + 18a b + 18a b +--R + +--R 7 +--R 6a b +--R * +--R 6 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 2 2 +--R (30b + 90a b + 90a b + 30a b )cosh(x) +--R + +--R 7 3 5 5 3 7 8 2 6 4 4 +--R (32a b + 96a b + 96a b + 32a b)cosh(x) + 2b + 10a b + 18a b +--R + +--R 6 2 8 +--R 14a b + 4a +--R * +--R 5 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 2 3 +--R (40b + 120a b + 120a b + 40a b )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (70a b + 210a b + 210a b + 70a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 7 3 5 +--R (8b + 44a b + 84a b + 68a b + 20a )cosh(x) + 10a b + 30a b +--R + +--R 5 3 7 +--R 30a b + 10a b +--R * +--R 4 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 2 4 +--R (30b + 90a b + 90a b + 30a b )cosh(x) +--R + +--R 7 3 5 5 3 7 3 +--R (80a b + 240a b + 240a b + 80a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 2 +--R (12b + 76a b + 156a b + 132a b + 40a )cosh(x) +--R + +--R 7 3 5 5 3 7 8 2 6 4 4 +--R (32a b + 96a b + 96a b + 32a b)cosh(x) - 2b + 2a b + 18a b +--R + +--R 6 2 8 +--R 22a b + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 2 5 +--R (12b + 36a b + 36a b + 12a b )cosh(x) +--R + +--R 7 3 5 5 3 7 4 +--R (50a b + 150a b + 150a b + 50a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 3 +--R (8b + 64a b + 144a b + 128a b + 40a )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (36a b + 108a b + 108a b + 36a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 7 3 5 +--R (- 4b + 12a b + 60a b + 68a b + 24a )cosh(x) + 2a b + 6a b +--R + +--R 5 3 7 +--R 6a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 2 6 +--R (2b + 6a b + 6a b + 2a b )cosh(x) +--R + +--R 7 3 5 5 3 7 5 +--R (16a b + 48a b + 48a b + 16a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 4 +--R (2b + 26a b + 66a b + 62a b + 20a )cosh(x) +--R + +--R 7 3 5 5 3 7 3 +--R (16a b + 48a b + 48a b + 16a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 2 8 2 6 +--R (- 2b + 18a b + 66a b + 70a b + 24a )cosh(x) - 2b - 2a b +--R + +--R 4 4 6 2 8 +--R 6a b + 10a b + 4a +--R * +--R sinh(x) +--R + +--R 7 3 5 5 3 7 6 +--R (2a b + 6a b + 6a b + 2a b)cosh(x) +--R + +--R 2 6 4 4 6 2 8 5 +--R (4a b + 12a b + 12a b + 4a )cosh(x) +--R + +--R 7 3 5 5 3 7 4 +--R (2a b + 6a b + 6a b + 2a b)cosh(x) +--R + +--R 2 6 4 4 6 2 8 3 +--R (8a b + 24a b + 24a b + 8a )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (- 2a b - 6a b - 6a b - 2a b)cosh(x) +--R + +--R 2 6 4 4 6 2 8 7 3 5 5 3 7 +--R (4a b + 12a b + 12a b + 4a )cosh(x) - 2a b - 6a b - 6a b - 2a b +--R Type: Expression Integer +--E 109 + +--S 110 of 552 +--d0721:= D(m0721,x) +--E 110 + +--S 111 of 552 +t0722:= tanh(x)/(%i+sinh(x))^2 +--R +--R +--R tanh(x) +--R (109) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 111 + +--S 112 of 552 +r0722:= -1/4*%i*atan(sinh(x))-1/4/(%i+sinh(x))^2-%i/(4*%i+4*sinh(x)) +--R +--R +--R 1 2 1 1 1 +--R (- - %i sinh(x) + - sinh(x) + - %i)atan(sinh(x)) - - %i sinh(x) +--R 4 2 4 4 +--R (110) ---------------------------------------------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Fraction Integer +--E 112 + +--S 113 of 552 +a0722:= integrate(t0722,x) +--R +--R +--R (111) +--R 4 3 +--R sinh(x) + (4cosh(x) + 4%i)sinh(x) +--R + +--R 2 2 +--R (6cosh(x) + 12%i cosh(x) - 6)sinh(x) +--R + +--R 3 2 4 +--R (4cosh(x) + 12%i cosh(x) - 12cosh(x) - 4%i)sinh(x) + cosh(x) +--R + +--R 3 2 +--R 4%i cosh(x) - 6cosh(x) - 4%i cosh(x) + 1 +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 4 3 +--R - sinh(x) + (- 4cosh(x) - 4%i)sinh(x) +--R + +--R 2 2 +--R (- 6cosh(x) - 12%i cosh(x) + 6)sinh(x) +--R + +--R 3 2 4 +--R (- 4cosh(x) - 12%i cosh(x) + 12cosh(x) + 4%i)sinh(x) - cosh(x) +--R + +--R 3 2 +--R - 4%i cosh(x) + 6cosh(x) + 4%i cosh(x) - 1 +--R * +--R log(sinh(x) + cosh(x) - %i) +--R + +--R 3 2 2 +--R - 2%i sinh(x) - 6%i cosh(x)sinh(x) + (- 6%i cosh(x) + 2%i)sinh(x) +--R + +--R 3 +--R - 2%i cosh(x) + 2%i cosh(x) +--R / +--R 4 3 +--R 4sinh(x) + (16cosh(x) + 16%i)sinh(x) +--R + +--R 2 2 +--R (24cosh(x) + 48%i cosh(x) - 24)sinh(x) +--R + +--R 3 2 4 +--R (16cosh(x) + 48%i cosh(x) - 48cosh(x) - 16%i)sinh(x) + 4cosh(x) +--R + +--R 3 2 +--R 16%i cosh(x) - 24cosh(x) - 16%i cosh(x) + 4 +--R Type: Union(Expression Complex Integer,...) +--E 113 + +--S 114 of 552 +m0722:= a0722-r0722 +--R +--R +--R (112) +--R 1 6 3 5 +--R - sinh(x) + (cosh(x) + - %i)sinh(x) +--R 4 2 +--R + +--R 3 2 15 4 +--R (- cosh(x) + 5%i cosh(x) - --)sinh(x) +--R 2 4 +--R + +--R 3 2 3 +--R (cosh(x) + 6%i cosh(x) - 10cosh(x) - 5%i)sinh(x) +--R + +--R 1 4 3 2 15 2 +--R (- cosh(x) + 3%i cosh(x) - 9cosh(x) - 10%i cosh(x) + --)sinh(x) +--R 4 4 +--R + +--R 1 4 3 2 3 +--R (- %i cosh(x) - 3cosh(x) - 6%i cosh(x) + 5cosh(x) + - %i)sinh(x) +--R 2 2 +--R + +--R 1 4 3 3 2 1 +--R - - cosh(x) - %i cosh(x) + - cosh(x) + %i cosh(x) - - +--R 4 2 4 +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 1 6 3 5 +--R - - sinh(x) + (- cosh(x) - - %i)sinh(x) +--R 4 2 +--R + +--R 3 2 15 4 +--R (- - cosh(x) - 5%i cosh(x) + --)sinh(x) +--R 2 4 +--R + +--R 3 2 3 +--R (- cosh(x) - 6%i cosh(x) + 10cosh(x) + 5%i)sinh(x) +--R + +--R 1 4 3 2 15 2 +--R (- - cosh(x) - 3%i cosh(x) + 9cosh(x) + 10%i cosh(x) - --)sinh(x) +--R 4 4 +--R + +--R 1 4 3 2 3 +--R (- - %i cosh(x) + 3cosh(x) + 6%i cosh(x) - 5cosh(x) - - %i)sinh(x) +--R 2 2 +--R + +--R 1 4 3 3 2 1 +--R - cosh(x) + %i cosh(x) - - cosh(x) - %i cosh(x) + - +--R 4 2 4 +--R * +--R log(sinh(x) + cosh(x) - %i) +--R + +--R 1 6 3 5 +--R - %i sinh(x) + (%i cosh(x) - -)sinh(x) +--R 4 2 +--R + +--R 3 2 15 4 +--R (- %i cosh(x) - 5cosh(x) - -- %i)sinh(x) +--R 2 4 +--R + +--R 3 2 3 +--R (%i cosh(x) - 6cosh(x) - 10%i cosh(x) + 5)sinh(x) +--R + +--R 1 4 3 2 15 +--R (- %i cosh(x) - 3cosh(x) - 9%i cosh(x) + 10cosh(x) + -- %i) +--R 4 4 +--R * +--R 2 +--R sinh(x) +--R + +--R 1 4 3 2 3 +--R (- - cosh(x) - 3%i cosh(x) + 6cosh(x) + 5%i cosh(x) - -)sinh(x) +--R 2 2 +--R + +--R 1 4 3 3 2 1 +--R - - %i cosh(x) + cosh(x) + - %i cosh(x) - cosh(x) - - %i +--R 4 2 4 +--R * +--R atan(sinh(x)) +--R + +--R 1 5 1 4 1 3 +--R - - %i sinh(x) - - %i cosh(x)sinh(x) - - %i sinh(x) +--R 4 2 2 +--R + +--R 1 3 2 1 4 1 +--R (- %i cosh(x) - %i cosh(x))sinh(x) + (- %i cosh(x) - - %i)sinh(x) +--R 2 4 4 +--R + +--R 1 3 1 +--R - %i cosh(x) - - %i cosh(x) +--R 2 2 +--R / +--R 6 5 +--R sinh(x) + (4cosh(x) + 6%i)sinh(x) +--R + +--R 2 4 +--R (6cosh(x) + 20%i cosh(x) - 15)sinh(x) +--R + +--R 3 2 3 +--R (4cosh(x) + 24%i cosh(x) - 40cosh(x) - 20%i)sinh(x) +--R + +--R 4 3 2 2 +--R (cosh(x) + 12%i cosh(x) - 36cosh(x) - 40%i cosh(x) + 15)sinh(x) +--R + +--R 4 3 2 +--R (2%i cosh(x) - 12cosh(x) - 24%i cosh(x) + 20cosh(x) + 6%i)sinh(x) +--R + +--R 4 3 2 +--R - cosh(x) - 4%i cosh(x) + 6cosh(x) + 4%i cosh(x) - 1 +--R Type: Expression Complex Fraction Integer +--E 114 + +--S 115 of 552 +d0722:= D(m0722,x) +--R +--R +--R (113) +--R 8 7 +--R 4sinh(x) + (15cosh(x) + 8%i)sinh(x) +--R + +--R 2 6 +--R (18cosh(x) + 28%i cosh(x) - 4)sinh(x) +--R + +--R 3 2 5 +--R (cosh(x) + 28%i cosh(x) - 3cosh(x))sinh(x) +--R + +--R 4 3 2 4 +--R (- 16cosh(x) - 8%i cosh(x) + 16cosh(x) + 16%i cosh(x) - 4)sinh(x) +--R + +--R 5 4 3 2 +--R - 15cosh(x) - 32%i cosh(x) + 30cosh(x) + 40%i cosh(x) - 11cosh(x) +--R + +--R - 8%i +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - 6cosh(x) - 20%i cosh(x) + 20cosh(x) + 32%i cosh(x) - 14cosh(x) +--R + +--R - 12%i cosh(x) + 4 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R - cosh(x) - 4%i cosh(x) + 5cosh(x) + 8%i cosh(x) - 11cosh(x) +--R + +--R 2 +--R - 4%i cosh(x) + 7cosh(x) +--R * +--R sinh(x) +--R + +--R 4 2 +--R - 4cosh(x) + 4cosh(x) +--R / +--R 10 9 +--R sinh(x) + (6cosh(x) + 6%i)sinh(x) +--R + +--R 2 8 +--R (15cosh(x) + 32%i cosh(x) - 13)sinh(x) +--R + +--R 3 2 7 +--R (20cosh(x) + 70%i cosh(x) - 60cosh(x) - 8%i)sinh(x) +--R + +--R 4 3 2 6 +--R (15cosh(x) + 80%i cosh(x) - 110cosh(x) - 28%i cosh(x) - 14)sinh(x) +--R + +--R 5 4 3 2 +--R 6cosh(x) + 50%i cosh(x) - 100cosh(x) - 30%i cosh(x) - 56cosh(x) +--R + +--R - 28%i +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 4 2 +--R cosh(x) + 16%i cosh(x) - 45cosh(x) - 100cosh(x) - 84%i cosh(x) +--R + +--R 14 +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 2%i cosh(x) - 8cosh(x) + 20%i cosh(x) - 100cosh(x) +--R + +--R 2 +--R - 110%i cosh(x) + 28cosh(x) - 8%i +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 12%i cosh(x) - 55cosh(x) - 80%i cosh(x) + 30cosh(x) +--R + +--R - 20%i cosh(x) + 13 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 2%i cosh(x) - 14cosh(x) - 30%i cosh(x) + 20cosh(x) +--R + +--R 2 +--R - 10%i cosh(x) + 18cosh(x) + 6%i +--R * +--R sinh(x) +--R + +--R 6 5 4 2 +--R - cosh(x) - 4%i cosh(x) + 5cosh(x) + 5cosh(x) + 4%i cosh(x) - 1 +--R Type: Expression Complex Fraction Integer +--E 115 + +--S 116 of 552 +t0723:= tanh(x)^2/(%i+sinh(x))^2 +--R +--R +--R 2 +--R tanh(x) +--R (114) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 116 + +--S 117 of 552 +r0723:= 1/15/cosh(x)^5*(cosh(x)^4*sinh(x)-7*sinh(x)*cosh(x)^2+_ + 6*sinh(x)+10*%i*cosh(x)^2-6*%i) +--R +--R +--R 4 2 2 +--R (cosh(x) - 7cosh(x) + 6)sinh(x) + 10%i cosh(x) - 6%i +--R (115) ------------------------------------------------------- +--R 5 +--R 15cosh(x) +--R Type: Expression Complex Integer +--E 117 + +--S 118 of 552 +a0723:= integrate(t0723,x) +--R +--R +--R (116) +--R 2 2 +--R - 32sinh(x) + (- 56cosh(x) - 48%i)sinh(x) - 32cosh(x) - 32%i cosh(x) + 40 +--R / +--R 4 3 +--R 15sinh(x) + (60cosh(x) + 60%i)sinh(x) +--R + +--R 2 2 +--R (90cosh(x) + 180%i cosh(x) - 60)sinh(x) +--R + +--R 3 2 4 +--R (60cosh(x) + 180%i cosh(x) - 180cosh(x) + 60%i)sinh(x) + 15cosh(x) +--R + +--R 3 2 +--R 60%i cosh(x) - 60cosh(x) - 60%i cosh(x) - 75 +--R Type: Union(Expression Complex Integer,...) +--E 118 + +--S 119 of 552 +m0723:= a0723-r0723 +--R +--R +--R (117) +--R 4 2 5 +--R (- cosh(x) + 7cosh(x) - 6)sinh(x) +--R + +--R 5 4 3 2 +--R - 4cosh(x) - 4%i cosh(x) + 28cosh(x) + 18%i cosh(x) - 24cosh(x) +--R + +--R - 18%i +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - 6cosh(x) - 12%i cosh(x) + 46cosh(x) + 44%i cosh(x) - 24cosh(x) +--R + +--R - 48%i cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R - 4cosh(x) - 12%i cosh(x) + 8cosh(x) + 20%i cosh(x) + 12cosh(x) +--R + +--R 2 +--R 32%i cosh(x) - 48%i +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - cosh(x) - 4%i cosh(x) - 45cosh(x) - 56%i cosh(x) + 91cosh(x) +--R + +--R 3 2 +--R 92%i cosh(x) - 43cosh(x) - 48%i cosh(x) + 6 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R - 32cosh(x) - 42%i cosh(x) + 80cosh(x) + 46%i cosh(x) - 64cosh(x) +--R + +--R 2 +--R 26%i cosh(x) + 24cosh(x) - 30%i +--R / +--R 5 4 6 5 3 +--R 15cosh(x) sinh(x) + (60cosh(x) + 60%i cosh(x) )sinh(x) +--R + +--R 7 6 5 2 +--R (90cosh(x) + 180%i cosh(x) - 60cosh(x) )sinh(x) +--R + +--R 8 7 6 5 +--R (60cosh(x) + 180%i cosh(x) - 180cosh(x) + 60%i cosh(x) )sinh(x) +--R + +--R 9 8 7 6 5 +--R 15cosh(x) + 60%i cosh(x) - 60cosh(x) - 60%i cosh(x) - 75cosh(x) +--R Type: Expression Complex Integer +--E 119 + +--S 120 of 552 +d0723:= D(m0723,x) +--R +--R +--R (118) +--R 4 2 10 +--R (cosh(x) - 21cosh(x) + 30)sinh(x) +--R + +--R 5 4 3 2 +--R 8cosh(x) + 8%i cosh(x) - 168cosh(x) - 138%i cosh(x) + 240cosh(x) +--R + +--R 210%i +--R * +--R 9 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 27cosh(x) + 56%i cosh(x) - 605cosh(x) - 936%i cosh(x) +--R + +--R 2 +--R 1098cosh(x) + 1440%i cosh(x) - 480 +--R * +--R 8 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 48cosh(x) + 160%i cosh(x) - 1272cosh(x) - 2656%i cosh(x) +--R + +--R 3 2 +--R 3144cosh(x) + 3936%i cosh(x) - 2880cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 42cosh(x) + 224%i cosh(x) - 1570cosh(x) - 3976%i cosh(x) +--R + +--R 4 3 2 +--R 4930cosh(x) + 5352%i cosh(x) - 5310cosh(x) - 480%i cosh(x) - 1500 +--R * +--R 6 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 112%i cosh(x) - 776cosh(x) - 2660%i cosh(x) + 2960cosh(x) +--R + +--R 4 3 2 +--R 1692%i cosh(x) - 1320cosh(x) + 636%i cosh(x) - 5280cosh(x) - 1380%i +--R * +--R 5 +--R sinh(x) +--R + +--R 10 9 8 7 +--R - 42cosh(x) - 112%i cosh(x) + 790cosh(x) + 1208%i cosh(x) +--R + +--R 6 5 4 3 +--R - 3118cosh(x) - 6448%i cosh(x) + 8398cosh(x) + 7512%i cosh(x) +--R + +--R 2 +--R - 6708cosh(x) - 5280%i cosh(x) - 1440 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 10 9 8 +--R - 48cosh(x) - 224%i cosh(x) + 1752cosh(x) + 4208%i cosh(x) +--R + +--R 7 6 5 4 +--R - 7688cosh(x) - 12128%i cosh(x) + 14184cosh(x) + 11792%i cosh(x) +--R + +--R 3 2 +--R - 6984cosh(x) - 3168%i cosh(x) - 960cosh(x) - 1920%i +--R * +--R 3 +--R sinh(x) +--R + +--R 12 11 10 9 +--R - 27cosh(x) - 160%i cosh(x) + 1431cosh(x) + 3880%i cosh(x) +--R + +--R 8 7 6 5 +--R - 6696cosh(x) - 9976%i cosh(x) + 10886cosh(x) + 8472%i cosh(x) +--R + +--R 4 3 2 +--R - 4667cosh(x) + 984%i cosh(x) - 429cosh(x) - 3360%i cosh(x) - 450 +--R * +--R 2 +--R sinh(x) +--R + +--R 13 12 11 10 +--R - 8cosh(x) - 56%i cosh(x) + 592cosh(x) + 1758%i cosh(x) +--R + +--R 9 8 7 6 +--R - 3136cosh(x) - 3982%i cosh(x) + 4320cosh(x) + 3124%i cosh(x) +--R + +--R 5 4 3 2 +--R - 616cosh(x) - 364%i cosh(x) - 2352cosh(x) + 270%i cosh(x) +--R + +--R 1200cosh(x) - 750%i +--R * +--R sinh(x) +--R + +--R 14 13 12 11 +--R - cosh(x) - 8%i cosh(x) + 103cosh(x) + 336%i cosh(x) +--R + +--R 10 9 8 7 +--R - 724cosh(x) - 640%i cosh(x) + 826cosh(x) + 224%i cosh(x) +--R + +--R 6 5 4 3 2 +--R - 85cosh(x) + 328%i cosh(x) + 31cosh(x) - 240%i cosh(x) - 150cosh(x) +--R / +--R 6 8 7 6 7 +--R 15cosh(x) sinh(x) + (120cosh(x) + 120%i cosh(x) )sinh(x) +--R + +--R 8 7 6 6 +--R (420cosh(x) + 840%i cosh(x) - 360cosh(x) )sinh(x) +--R + +--R 9 8 7 6 5 +--R (840cosh(x) + 2520%i cosh(x) - 2280cosh(x) - 360%i cosh(x) )sinh(x) +--R + +--R 10 9 8 7 +--R 1050cosh(x) + 4200%i cosh(x) - 5880cosh(x) - 2520%i cosh(x) +--R + +--R 6 +--R - 390cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 11 10 9 8 +--R 840cosh(x) + 4200%i cosh(x) - 7920cosh(x) - 6000%i cosh(x) +--R + +--R 7 6 +--R - 120cosh(x) - 1080%i cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 12 11 10 9 +--R 420cosh(x) + 2520%i cosh(x) - 5880cosh(x) - 6480%i cosh(x) +--R + +--R 8 7 6 +--R 1740cosh(x) - 2760%i cosh(x) + 360cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 13 12 11 10 +--R 120cosh(x) + 840%i cosh(x) - 2280cosh(x) - 3240%i cosh(x) +--R + +--R 9 8 7 6 +--R 1800cosh(x) - 840%i cosh(x) + 2280cosh(x) - 600%i cosh(x) +--R * +--R sinh(x) +--R + +--R 14 13 12 11 +--R 15cosh(x) + 120%i cosh(x) - 360cosh(x) - 600%i cosh(x) +--R + +--R 10 9 8 7 6 +--R 570cosh(x) - 120%i cosh(x) + 360cosh(x) + 600%i cosh(x) + 375cosh(x) +--R Type: Expression Complex Integer +--E 120 + +--S 121 of 552 +t0724:= tanh(x)^3/(%i+sinh(x))^2 +--R +--R +--R 3 +--R tanh(x) +--R (119) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 121 + +--S 122 of 552 +r0724:= -1/8*%i*atan(sinh(x))-%i/(16*%i-16*sinh(x))+_ + 1/12*%i/(%i+sinh(x))^3-1/4/(%i+sinh(x))^2-3*%i/(16*%i+16*sinh(x)) +--R +--R +--R (120) +--R 1 4 1 3 1 1 +--R (- - %i sinh(x) + - sinh(x) + - sinh(x) + - %i)atan(sinh(x)) +--R 8 4 4 8 +--R + +--R 1 3 1 2 7 1 +--R - - %i sinh(x) - - sinh(x) - -- %i sinh(x) + -- +--R 8 4 24 12 +--R / +--R 4 3 +--R sinh(x) + 2%i sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Fraction Integer +--E 122 + +--S 123 of 552 +a0724:= integrate(t0724,x) +--R +--R +--R (121) +--R 8 7 +--R 3sinh(x) + (24cosh(x) + 12%i)sinh(x) +--R + +--R 2 6 +--R (84cosh(x) + 84%i cosh(x) - 12)sinh(x) +--R + +--R 3 2 5 +--R (168cosh(x) + 252%i cosh(x) - 72cosh(x) + 12%i)sinh(x) +--R + +--R 4 3 2 +--R (210cosh(x) + 420%i cosh(x) - 180cosh(x) + 60%i cosh(x) - 30) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 168cosh(x) + 420%i cosh(x) - 240cosh(x) + 120%i cosh(x) +--R + +--R - 120cosh(x) - 12%i +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 84cosh(x) + 252%i cosh(x) - 180cosh(x) + 120%i cosh(x) +--R + +--R 2 +--R - 180cosh(x) - 36%i cosh(x) - 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 24cosh(x) + 84%i cosh(x) - 72cosh(x) + 60%i cosh(x) +--R + +--R 3 2 +--R - 120cosh(x) - 36%i cosh(x) - 24cosh(x) - 12%i +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R 3cosh(x) + 12%i cosh(x) - 12cosh(x) + 12%i cosh(x) - 30cosh(x) +--R + +--R 3 2 +--R - 12%i cosh(x) - 12cosh(x) - 12%i cosh(x) + 3 +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 8 7 +--R - 3sinh(x) + (- 24cosh(x) - 12%i)sinh(x) +--R + +--R 2 6 +--R (- 84cosh(x) - 84%i cosh(x) + 12)sinh(x) +--R + +--R 3 2 5 +--R (- 168cosh(x) - 252%i cosh(x) + 72cosh(x) - 12%i)sinh(x) +--R + +--R 4 3 2 +--R (- 210cosh(x) - 420%i cosh(x) + 180cosh(x) - 60%i cosh(x) + 30) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 168cosh(x) - 420%i cosh(x) + 240cosh(x) - 120%i cosh(x) +--R + +--R 120cosh(x) + 12%i +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 84cosh(x) - 252%i cosh(x) + 180cosh(x) - 120%i cosh(x) +--R + +--R 2 +--R 180cosh(x) + 36%i cosh(x) + 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 24cosh(x) - 84%i cosh(x) + 72cosh(x) - 60%i cosh(x) +--R + +--R 3 2 +--R 120cosh(x) + 36%i cosh(x) + 24cosh(x) + 12%i +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - 3cosh(x) - 12%i cosh(x) + 12cosh(x) - 12%i cosh(x) + 30cosh(x) +--R + +--R 3 2 +--R 12%i cosh(x) + 12cosh(x) + 12%i cosh(x) - 3 +--R * +--R log(sinh(x) + cosh(x) - %i) +--R + +--R 7 6 +--R - 6%i sinh(x) + (- 42%i cosh(x) - 24)sinh(x) +--R + +--R 2 5 +--R (- 126%i cosh(x) - 144cosh(x) - 38%i)sinh(x) +--R + +--R 3 2 4 +--R (- 210%i cosh(x) - 360cosh(x) - 190%i cosh(x) + 80)sinh(x) +--R + +--R 4 3 2 +--R (- 210%i cosh(x) - 480cosh(x) - 380%i cosh(x) + 320cosh(x) + 38%i) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 126%i cosh(x) - 360cosh(x) - 380%i cosh(x) + 480cosh(x) +--R + +--R 114%i cosh(x) - 24 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 42%i cosh(x) - 144cosh(x) - 190%i cosh(x) + 320cosh(x) +--R + +--R 2 +--R 114%i cosh(x) - 48cosh(x) + 6%i +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R - 6%i cosh(x) - 24cosh(x) - 38%i cosh(x) + 80cosh(x) + 38%i cosh(x) +--R + +--R 2 +--R - 24cosh(x) + 6%i cosh(x) +--R / +--R 8 7 +--R 24sinh(x) + (192cosh(x) + 96%i)sinh(x) +--R + +--R 2 6 +--R (672cosh(x) + 672%i cosh(x) - 96)sinh(x) +--R + +--R 3 2 5 +--R (1344cosh(x) + 2016%i cosh(x) - 576cosh(x) + 96%i)sinh(x) +--R + +--R 4 3 2 +--R (1680cosh(x) + 3360%i cosh(x) - 1440cosh(x) + 480%i cosh(x) - 240) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 1344cosh(x) + 3360%i cosh(x) - 1920cosh(x) + 960%i cosh(x) +--R + +--R - 960cosh(x) - 96%i +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 672cosh(x) + 2016%i cosh(x) - 1440cosh(x) + 960%i cosh(x) +--R + +--R 2 +--R - 1440cosh(x) - 288%i cosh(x) - 96 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 192cosh(x) + 672%i cosh(x) - 576cosh(x) + 480%i cosh(x) +--R + +--R 3 2 +--R - 960cosh(x) - 288%i cosh(x) - 192cosh(x) - 96%i +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R 24cosh(x) + 96%i cosh(x) - 96cosh(x) + 96%i cosh(x) - 240cosh(x) +--R + +--R 3 2 +--R - 96%i cosh(x) - 96cosh(x) - 96%i cosh(x) + 24 +--R Type: Union(Expression Complex Integer,...) +--E 123 + +--S 124 of 552 +m0724:= a0724-r0724 +--R +--R +--R (122) +--R 1 12 3 11 +--R - sinh(x) + (cosh(x) + - %i)sinh(x) +--R 8 4 +--R + +--R 7 2 11 3 10 +--R (- cosh(x) + -- %i cosh(x) - -)sinh(x) +--R 2 2 2 +--R + +--R 3 35 2 1 9 +--R (7cosh(x) + -- %i cosh(x) - 10cosh(x) - - %i)sinh(x) +--R 2 4 +--R + +--R 35 4 63 3 57 2 3 27 +--R (-- cosh(x) + -- %i cosh(x) - -- cosh(x) - - %i cosh(x) - --) +--R 4 2 2 2 8 +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 7cosh(x) + 35%i cosh(x) - 45cosh(x) - 3%i cosh(x) - 18cosh(x) +--R + +--R 9 +--R - - %i +--R 2 +--R * +--R 7 +--R sinh(x) +--R + +--R 7 6 49 5 85 4 3 +--R - cosh(x) + -- %i cosh(x) - -- cosh(x) - %i cosh(x) +--R 2 2 2 +--R + +--R 2 +--R - 42cosh(x) - 21%i cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 7 21 6 5 4 +--R cosh(x) + -- %i cosh(x) - 24cosh(x) + 5%i cosh(x) +--R 2 +--R + +--R 3 2 9 +--R - 57cosh(x) - 42%i cosh(x) - - %i +--R 2 +--R * +--R 5 +--R sinh(x) +--R + +--R 1 8 5 7 15 6 17 5 +--R - cosh(x) + - %i cosh(x) - -- cosh(x) + -- %i cosh(x) +--R 8 2 2 2 +--R + +--R 4 3 27 +--R - 50cosh(x) - 48%i cosh(x) - 15%i cosh(x) + -- +--R 8 +--R * +--R 4 +--R sinh(x) +--R + +--R 1 8 7 6 5 +--R - %i cosh(x) - cosh(x) + 6%i cosh(x) - 29cosh(x) +--R 4 +--R + +--R 4 3 2 1 +--R - 35%i cosh(x) + cosh(x) - 21%i cosh(x) + 9cosh(x) - - %i +--R 4 +--R * +--R 3 +--R sinh(x) +--R + +--R 7 21 6 33 5 5 4 +--R 2%i cosh(x) - -- cosh(x) - -- %i cosh(x) + - cosh(x) +--R 2 2 2 +--R + +--R 3 21 2 1 3 +--R - 15%i cosh(x) + -- cosh(x) - - %i cosh(x) + - +--R 2 2 2 +--R * +--R 2 +--R sinh(x) +--R + +--R 1 8 7 9 6 5 +--R - %i cosh(x) - 2cosh(x) - - %i cosh(x) + 2cosh(x) +--R 4 2 +--R + +--R 4 3 1 2 3 +--R - 5%i cosh(x) + 6cosh(x) + - %i cosh(x) + 2cosh(x) + - %i +--R 2 4 +--R * +--R sinh(x) +--R + +--R 1 8 1 7 1 6 1 5 +--R - - cosh(x) - - %i cosh(x) + - cosh(x) - - %i cosh(x) +--R 8 2 2 2 +--R + +--R 5 4 1 3 1 2 1 1 +--R - cosh(x) + - %i cosh(x) + - cosh(x) + - %i cosh(x) - - +--R 4 2 2 2 8 +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 1 12 3 11 +--R - - sinh(x) + (- cosh(x) - - %i)sinh(x) +--R 8 4 +--R + +--R 7 2 11 3 10 +--R (- - cosh(x) - -- %i cosh(x) + -)sinh(x) +--R 2 2 2 +--R + +--R 3 35 2 1 9 +--R (- 7cosh(x) - -- %i cosh(x) + 10cosh(x) + - %i)sinh(x) +--R 2 4 +--R + +--R 35 4 63 3 57 2 3 27 +--R (- -- cosh(x) - -- %i cosh(x) + -- cosh(x) + - %i cosh(x) + --) +--R 4 2 2 2 8 +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 7cosh(x) - 35%i cosh(x) + 45cosh(x) + 3%i cosh(x) +--R + +--R 9 +--R 18cosh(x) + - %i +--R 2 +--R * +--R 7 +--R sinh(x) +--R + +--R 7 6 49 5 85 4 3 +--R - - cosh(x) - -- %i cosh(x) + -- cosh(x) + %i cosh(x) +--R 2 2 2 +--R + +--R 2 +--R 42cosh(x) + 21%i cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 7 21 6 5 4 +--R - cosh(x) - -- %i cosh(x) + 24cosh(x) - 5%i cosh(x) +--R 2 +--R + +--R 3 2 9 +--R 57cosh(x) + 42%i cosh(x) + - %i +--R 2 +--R * +--R 5 +--R sinh(x) +--R + +--R 1 8 5 7 15 6 17 5 +--R - - cosh(x) - - %i cosh(x) + -- cosh(x) - -- %i cosh(x) +--R 8 2 2 2 +--R + +--R 4 3 27 +--R 50cosh(x) + 48%i cosh(x) + 15%i cosh(x) - -- +--R 8 +--R * +--R 4 +--R sinh(x) +--R + +--R 1 8 7 6 5 +--R - - %i cosh(x) + cosh(x) - 6%i cosh(x) + 29cosh(x) +--R 4 +--R + +--R 4 3 2 1 +--R 35%i cosh(x) - cosh(x) + 21%i cosh(x) - 9cosh(x) + - %i +--R 4 +--R * +--R 3 +--R sinh(x) +--R + +--R 7 21 6 33 5 5 4 +--R - 2%i cosh(x) + -- cosh(x) + -- %i cosh(x) - - cosh(x) +--R 2 2 2 +--R + +--R 3 21 2 1 3 +--R 15%i cosh(x) - -- cosh(x) + - %i cosh(x) - - +--R 2 2 2 +--R * +--R 2 +--R sinh(x) +--R + +--R 1 8 7 9 6 5 +--R - - %i cosh(x) + 2cosh(x) + - %i cosh(x) - 2cosh(x) +--R 4 2 +--R + +--R 4 3 1 2 3 +--R 5%i cosh(x) - 6cosh(x) - - %i cosh(x) - 2cosh(x) - - %i +--R 2 4 +--R * +--R sinh(x) +--R + +--R 1 8 1 7 1 6 1 5 5 4 +--R - cosh(x) + - %i cosh(x) - - cosh(x) + - %i cosh(x) - - cosh(x) +--R 8 2 2 2 4 +--R + +--R 1 3 1 2 1 1 +--R - - %i cosh(x) - - cosh(x) - - %i cosh(x) + - +--R 2 2 2 8 +--R * +--R log(sinh(x) + cosh(x) - %i) +--R + +--R 1 12 3 11 +--R - %i sinh(x) + (%i cosh(x) - -)sinh(x) +--R 8 4 +--R + +--R 7 2 11 3 10 +--R (- %i cosh(x) - -- cosh(x) - - %i)sinh(x) +--R 2 2 2 +--R + +--R 3 35 2 1 9 +--R (7%i cosh(x) - -- cosh(x) - 10%i cosh(x) + -)sinh(x) +--R 2 4 +--R + +--R 35 4 63 3 57 2 3 27 +--R (-- %i cosh(x) - -- cosh(x) - -- %i cosh(x) + - cosh(x) - -- %i) +--R 4 2 2 2 8 +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 7%i cosh(x) - 35cosh(x) - 45%i cosh(x) + 3cosh(x) +--R + +--R 9 +--R - 18%i cosh(x) + - +--R 2 +--R * +--R 7 +--R sinh(x) +--R + +--R 7 6 49 5 85 4 3 +--R - %i cosh(x) - -- cosh(x) - -- %i cosh(x) + cosh(x) +--R 2 2 2 +--R + +--R 2 +--R - 42%i cosh(x) + 21cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 7 21 6 5 4 +--R %i cosh(x) - -- cosh(x) - 24%i cosh(x) - 5cosh(x) +--R 2 +--R + +--R 3 2 9 +--R - 57%i cosh(x) + 42cosh(x) + - +--R 2 +--R * +--R 5 +--R sinh(x) +--R + +--R 1 8 5 7 15 6 17 5 +--R - %i cosh(x) - - cosh(x) - -- %i cosh(x) - -- cosh(x) +--R 8 2 2 2 +--R + +--R 4 3 27 +--R - 50%i cosh(x) + 48cosh(x) + 15cosh(x) + -- %i +--R 8 +--R * +--R 4 +--R sinh(x) +--R + +--R 1 8 7 6 5 +--R - - cosh(x) - %i cosh(x) - 6cosh(x) - 29%i cosh(x) +--R 4 +--R + +--R 4 3 2 1 +--R 35cosh(x) + %i cosh(x) + 21cosh(x) + 9%i cosh(x) + - +--R 4 +--R * +--R 3 +--R sinh(x) +--R + +--R 7 21 6 33 5 5 4 +--R - 2cosh(x) - -- %i cosh(x) + -- cosh(x) + - %i cosh(x) +--R 2 2 2 +--R + +--R 3 21 2 1 3 +--R 15cosh(x) + -- %i cosh(x) + - cosh(x) + - %i +--R 2 2 2 +--R * +--R 2 +--R sinh(x) +--R + +--R 1 8 7 9 6 5 +--R - - cosh(x) - 2%i cosh(x) + - cosh(x) + 2%i cosh(x) +--R 4 2 +--R + +--R 4 3 1 2 3 +--R 5cosh(x) + 6%i cosh(x) - - cosh(x) + 2%i cosh(x) - - +--R 2 4 +--R * +--R sinh(x) +--R + +--R 1 8 1 7 1 6 1 5 +--R - - %i cosh(x) + - cosh(x) + - %i cosh(x) + - cosh(x) +--R 8 2 2 2 +--R + +--R 5 4 1 3 1 2 1 1 +--R - %i cosh(x) - - cosh(x) + - %i cosh(x) - - cosh(x) - - %i +--R 4 2 2 2 8 +--R * +--R atan(sinh(x)) +--R + +--R 1 11 3 3 10 +--R - - %i sinh(x) + (- - %i cosh(x) - -)sinh(x) +--R 8 4 4 +--R + +--R 7 2 67 9 +--R (- - %i cosh(x) - 4cosh(x) - -- %i)sinh(x) +--R 4 24 +--R + +--R 7 3 2 163 17 8 +--R (- - %i cosh(x) - 8cosh(x) - --- %i cosh(x) + --)sinh(x) +--R 4 12 4 +--R + +--R 3 145 2 46 19 7 +--R (- 6cosh(x) - --- %i cosh(x) + -- cosh(x) + -- %i)sinh(x) +--R 6 3 4 +--R + +--R 7 5 5 4 29 3 46 2 +--R - %i cosh(x) + - cosh(x) - -- %i cosh(x) + -- cosh(x) +--R 4 2 2 3 +--R + +--R 71 17 +--R -- %i cosh(x) - -- +--R 6 6 +--R * +--R 6 +--R sinh(x) +--R + +--R 7 6 5 4 3 2 +--R - %i cosh(x) + 8cosh(x) + 10%i cosh(x) - 8cosh(x) - 2%i cosh(x) +--R 4 +--R + +--R 7 +--R - 2cosh(x) + - %i +--R 4 +--R * +--R 5 +--R sinh(x) +--R + +--R 3 7 6 83 5 55 4 +--R - %i cosh(x) + 6cosh(x) + -- %i cosh(x) - -- cosh(x) +--R 4 4 2 +--R + +--R 3 2 27 11 +--R - 33%i cosh(x) + 16cosh(x) + -- %i cosh(x) - -- +--R 2 2 +--R * +--R 4 +--R sinh(x) +--R + +--R 1 8 7 38 6 5 +--R - %i cosh(x) + 2cosh(x) + -- %i cosh(x) - 22cosh(x) +--R 8 3 +--R + +--R 4 3 59 2 127 +--R - 40%i cosh(x) + 34cosh(x) + -- %i cosh(x) - 18cosh(x) - --- %i +--R 2 24 +--R * +--R 3 +--R sinh(x) +--R + +--R 1 8 10 7 6 79 5 +--R - cosh(x) + -- %i cosh(x) - 8cosh(x) - -- %i cosh(x) +--R 4 3 4 +--R + +--R 55 4 53 3 2 133 9 +--R -- cosh(x) + -- %i cosh(x) - 22cosh(x) - --- %i cosh(x) + - +--R 2 2 12 4 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 8 4 7 15 6 5 +--R -- %i cosh(x) - - cosh(x) - -- %i cosh(x) + 10cosh(x) +--R 24 3 4 +--R + +--R 4 3 83 2 10 3 +--R 10%i cosh(x) - 12cosh(x) - -- %i cosh(x) + -- cosh(x) + - %i +--R 12 3 8 +--R * +--R sinh(x) +--R + +--R 1 8 1 7 4 6 5 5 5 4 +--R - -- cosh(x) - -- %i cosh(x) + - cosh(x) + - %i cosh(x) - - cosh(x) +--R 12 12 3 4 2 +--R + +--R 5 3 4 2 1 1 +--R - - %i cosh(x) + - cosh(x) + -- %i cosh(x) - -- +--R 4 3 12 12 +--R / +--R 12 11 +--R sinh(x) + (8cosh(x) + 6%i)sinh(x) +--R + +--R 2 10 +--R (28cosh(x) + 44%i cosh(x) - 12)sinh(x) +--R + +--R 3 2 9 +--R (56cosh(x) + 140%i cosh(x) - 80cosh(x) - 2%i)sinh(x) +--R + +--R 4 3 2 8 +--R (70cosh(x) + 252%i cosh(x) - 228cosh(x) - 12%i cosh(x) - 27)sinh(x) +--R + +--R 5 4 3 2 +--R 56cosh(x) + 280%i cosh(x) - 360cosh(x) - 24%i cosh(x) +--R + +--R - 144cosh(x) - 36%i +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 28cosh(x) + 196%i cosh(x) - 340cosh(x) - 8%i cosh(x) +--R + +--R 2 +--R - 336cosh(x) - 168%i cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 8cosh(x) + 84%i cosh(x) - 192cosh(x) + 40%i cosh(x) - 456cosh(x) +--R + +--R 2 +--R - 336%i cosh(x) - 36%i +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R cosh(x) + 20%i cosh(x) - 60cosh(x) + 68%i cosh(x) - 400cosh(x) +--R + +--R 3 +--R - 384%i cosh(x) - 120%i cosh(x) + 27 +--R * +--R 4 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 2%i cosh(x) - 8cosh(x) + 48%i cosh(x) - 232cosh(x) +--R + +--R 4 3 2 +--R - 280%i cosh(x) + 8cosh(x) - 168%i cosh(x) + 72cosh(x) - 2%i +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 16%i cosh(x) - 84cosh(x) - 132%i cosh(x) + 20cosh(x) +--R + +--R 3 2 +--R - 120%i cosh(x) + 84cosh(x) - 4%i cosh(x) + 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 2%i cosh(x) - 16cosh(x) - 36%i cosh(x) + 16cosh(x) +--R + +--R 4 3 2 +--R - 40%i cosh(x) + 48cosh(x) + 4%i cosh(x) + 16cosh(x) + 6%i +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - cosh(x) - 4%i cosh(x) + 4cosh(x) - 4%i cosh(x) + 10cosh(x) +--R + +--R 3 2 +--R 4%i cosh(x) + 4cosh(x) + 4%i cosh(x) - 1 +--R Type: Expression Complex Fraction Integer +--E 124 + +--S 125 of 552 +d0724:= D(m0724,x) +--R +--R +--R (123) +--R 14 13 +--R 4sinh(x) + (31cosh(x) + 8%i)sinh(x) +--R + +--R 2 12 +--R (102cosh(x) + 60%i cosh(x) - 8)sinh(x) +--R + +--R 3 2 11 +--R (179cosh(x) + 188%i cosh(x) - 37cosh(x) - 8%i)sinh(x) +--R + +--R 4 3 2 10 +--R (160cosh(x) + 304%i cosh(x) - 44cosh(x) - 24%i cosh(x) - 4)sinh(x) +--R + +--R 5 4 3 2 +--R 14cosh(x) + 224%i cosh(x) + 68cosh(x) + 32%i cosh(x) - 42cosh(x) +--R + +--R - 16%i +--R * +--R 9 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 140cosh(x) - 56%i cosh(x) + 268cosh(x) + 248%i cosh(x) +--R + +--R 2 +--R - 136cosh(x) - 128%i cosh(x) + 16 +--R * +--R 8 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 178cosh(x) - 280%i cosh(x) + 362cosh(x) + 480%i cosh(x) +--R + +--R 3 2 +--R - 206cosh(x) - 352%i cosh(x) + 94cosh(x) + 16%i +--R * +--R 7 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 116cosh(x) - 272%i cosh(x) + 268cosh(x) + 472%i cosh(x) +--R + +--R 4 3 2 +--R - 168cosh(x) - 416%i cosh(x) + 192cosh(x) + 40%i cosh(x) - 4 +--R * +--R 6 +--R sinh(x) +--R + +--R 9 8 7 6 +--R - 45cosh(x) - 136%i cosh(x) + 116cosh(x) + 256%i cosh(x) +--R + +--R 5 4 3 2 +--R - 86cosh(x) - 136%i cosh(x) + 148cosh(x) - 56%i cosh(x) +--R + +--R 19cosh(x) + 8%i +--R * +--R 5 +--R sinh(x) +--R + +--R 10 9 8 7 +--R - 10cosh(x) - 36%i cosh(x) + 28cosh(x) + 72%i cosh(x) +--R + +--R 6 5 4 3 +--R - 40cosh(x) + 160%i cosh(x) - 32cosh(x) - 264%i cosh(x) +--R + +--R 2 +--R 110cosh(x) + 68%i cosh(x) - 8 +--R * +--R 4 +--R sinh(x) +--R + +--R 11 10 9 8 7 +--R - cosh(x) - 4%i cosh(x) + 3cosh(x) + 8%i cosh(x) - 18cosh(x) +--R + +--R 6 5 4 3 +--R 176%i cosh(x) - 138cosh(x) - 304%i cosh(x) + 195cosh(x) +--R + +--R 2 +--R 132%i cosh(x) - 41cosh(x) - 8%i +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 4cosh(x) + 64%i cosh(x) - 100cosh(x) - 144%i cosh(x) +--R + +--R 4 3 2 +--R 168cosh(x) + 96%i cosh(x) - 68cosh(x) - 16%i cosh(x) + 4 +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 8%i cosh(x) - 32cosh(x) - 24%i cosh(x) + 72cosh(x) +--R + +--R 4 3 2 +--R 24%i cosh(x) - 48cosh(x) - 8%i cosh(x) + 8cosh(x) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R - 4cosh(x) + 12cosh(x) - 12cosh(x) + 4cosh(x) +--R / +--R 16 15 +--R sinh(x) + (10cosh(x) + 6%i)sinh(x) +--R + +--R 2 14 +--R (45cosh(x) + 56%i cosh(x) - 10)sinh(x) +--R + +--R 3 2 13 +--R (120cosh(x) + 234%i cosh(x) - 86cosh(x) + 10%i)sinh(x) +--R + +--R 4 3 2 12 +--R (210cosh(x) + 576%i cosh(x) - 327cosh(x) + 84%i cosh(x) - 50)sinh(x) +--R + +--R 5 4 3 2 +--R 252cosh(x) + 924%i cosh(x) - 720cosh(x) + 324%i cosh(x) +--R + +--R - 374cosh(x) - 34%i +--R * +--R 11 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 210cosh(x) + 1008%i cosh(x) - 1008cosh(x) + 760%i cosh(x) +--R + +--R 2 +--R - 1251cosh(x) - 224%i cosh(x) - 66 +--R * +--R 10 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 120cosh(x) + 756%i cosh(x) - 924cosh(x) + 1204%i cosh(x) +--R + +--R 3 2 +--R - 2472cosh(x) - 642%i cosh(x) - 422cosh(x) - 110%i +--R * +--R 9 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 45cosh(x) + 384%i cosh(x) - 546cosh(x) + 1344%i cosh(x) +--R + +--R 4 3 2 +--R - 3206cosh(x) - 1048%i cosh(x) - 1215cosh(x) - 612%i cosh(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 10cosh(x) + 126%i cosh(x) - 192cosh(x) + 1064%i cosh(x) +--R + +--R 5 4 3 2 +--R - 2856cosh(x) - 1064%i cosh(x) - 2080cosh(x) - 1512%i cosh(x) +--R + +--R - 18cosh(x) - 110%i +--R * +--R 7 +--R sinh(x) +--R + +--R 10 9 8 7 +--R cosh(x) + 24%i cosh(x) - 30cosh(x) + 584%i cosh(x) +--R + +--R 6 5 4 3 +--R - 1764cosh(x) - 672%i cosh(x) - 2352cosh(x) - 2192%i cosh(x) +--R + +--R 2 +--R - 81cosh(x) - 488%i cosh(x) + 66 +--R * +--R 6 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 2%i cosh(x) + 2cosh(x) + 210%i cosh(x) - 736cosh(x) +--R + +--R 6 5 4 3 +--R - 224%i cosh(x) - 1848cosh(x) - 2072%i cosh(x) - 152cosh(x) +--R + +--R 2 +--R - 954%i cosh(x) + 238cosh(x) - 34%i +--R * +--R 5 +--R sinh(x) +--R + +--R 10 9 8 7 6 +--R cosh(x) + 44%i cosh(x) - 192cosh(x) + 8%i cosh(x) - 1036cosh(x) +--R + +--R 5 4 3 2 +--R - 1344%i cosh(x) - 154cosh(x) - 1072%i cosh(x) + 387cosh(x) +--R + +--R - 116%i cosh(x) + 50 +--R * +--R 4 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 4%i cosh(x) - 26cosh(x) + 42%i cosh(x) - 416cosh(x) +--R + +--R 6 5 4 3 +--R - 616%i cosh(x) - 84cosh(x) - 756%i cosh(x) + 368cosh(x) +--R + +--R 2 +--R - 156%i cosh(x) + 126cosh(x) + 10%i +--R * +--R 3 +--R sinh(x) +--R + +--R 10 9 8 7 +--R - cosh(x) + 16%i cosh(x) - 114cosh(x) - 200%i cosh(x) +--R + +--R 6 5 4 3 +--R - 14cosh(x) - 336%i cosh(x) + 224cosh(x) - 104%i cosh(x) +--R + +--R 2 +--R 135cosh(x) + 16%i cosh(x) + 10 +--R * +--R 2 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 2%i cosh(x) - 18cosh(x) - 42%i cosh(x) + 8cosh(x) +--R + +--R 6 5 4 3 +--R - 84%i cosh(x) + 84cosh(x) - 28%i cosh(x) + 72cosh(x) +--R + +--R 2 +--R 18%i cosh(x) + 14cosh(x) + 6%i +--R * +--R sinh(x) +--R + +--R 10 9 8 7 6 +--R - cosh(x) - 4%i cosh(x) + 3cosh(x) - 8%i cosh(x) + 14cosh(x) +--R + +--R 4 3 2 +--R 14cosh(x) + 8%i cosh(x) + 3cosh(x) + 4%i cosh(x) - 1 +--R Type: Expression Complex Fraction Integer +--E 125 + +--S 126 of 552 +t0725:= coth(x)/(a+b*sinh(x))^2 +--R +--R +--R coth(x) +--R (124) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 126 + +--S 127 of 552 +r0725:= log(sinh(x))/a^2-log(a+b*sinh(x))/a^2+1/a/(a+b*sinh(x)) +--R +--R +--R (125) +--R (- b sinh(x) - a)log(b sinh(x) + a) + (b sinh(x) + a)log(sinh(x)) + a +--R --------------------------------------------------------------------- +--R 2 3 +--R a b sinh(x) + a +--R Type: Expression Integer +--E 127 + +--S 128 of 552 +a0725:= integrate(t0725,x) +--R +--R +--R (126) +--R 2 2 +--R (b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) - b) +--R * +--R 2sinh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 +--R - b sinh(x) + (- 2b cosh(x) - 2a)sinh(x) - b cosh(x) - 2a cosh(x) +--R + +--R b +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 2a sinh(x) + 2a cosh(x) +--R / +--R 2 2 2 3 2 2 3 +--R a b sinh(x) + (2a b cosh(x) + 2a )sinh(x) + a b cosh(x) + 2a cosh(x) +--R + +--R 2 +--R - a b +--R Type: Union(Expression Integer,...) +--E 128 + +--S 129 of 552 +m0725:= a0725-r0725 +--R +--R +--R (127) +--R 2 3 2 2 +--R b sinh(x) + (2b cosh(x) + 3a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (b cosh(x) + 4a b cosh(x) - b + 2a )sinh(x) + a b cosh(x) +--R + +--R 2 +--R 2a cosh(x) - a b +--R * +--R log(b sinh(x) + a) +--R + +--R 2 3 2 2 +--R - b sinh(x) + (- 2b cosh(x) - 3a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (- b cosh(x) - 4a b cosh(x) + b - 2a )sinh(x) - a b cosh(x) +--R + +--R 2 +--R - 2a cosh(x) + a b +--R * +--R log(sinh(x)) +--R + +--R 2 3 2 2 +--R b sinh(x) + (2b cosh(x) + 3a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (b cosh(x) + 4a b cosh(x) - b + 2a )sinh(x) + a b cosh(x) +--R + +--R 2 +--R 2a cosh(x) - a b +--R * +--R 2sinh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 3 2 2 +--R - b sinh(x) + (- 2b cosh(x) - 3a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (- b cosh(x) - 4a b cosh(x) + b - 2a )sinh(x) - a b cosh(x) +--R + +--R 2 +--R - 2a cosh(x) + a b +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 +--R a b sinh(x) - a b cosh(x) + a b +--R / +--R 2 2 3 2 2 3 2 +--R a b sinh(x) + (2a b cosh(x) + 3a b)sinh(x) +--R + +--R 2 2 2 3 2 2 4 3 2 +--R (a b cosh(x) + 4a b cosh(x) - a b + 2a )sinh(x) + a b cosh(x) +--R + +--R 4 3 +--R 2a cosh(x) - a b +--R Type: Expression Integer +--E 129 + +--S 130 of 552 +d0725:= D(m0725,x) +--R +--R +--R (128) +--R 3 5 3 2 4 +--R - 2b sinh(x) + (- 5b cosh(x) - 4a b )sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (- 2b cosh(x) - 8a b cosh(x) - 2b - 2a b)sinh(x) +--R + +--R 3 3 3 2 2 2 +--R (4b cosh(x) + (- 4b - 2a b)cosh(x) - 4a b )sinh(x) +--R + +--R 3 4 2 3 3 2 2 2 +--R 4b cosh(x) + 8a b cosh(x) + (- 4b + 2a b)cosh(x) - 8a b cosh(x) +--R + +--R 2 +--R - 2a b +--R * +--R sinh(x) +--R + +--R 3 5 2 4 3 2 3 2 2 +--R b cosh(x) + 4a b cosh(x) + (- 2b + 2a b)cosh(x) - 4a b cosh(x) +--R + +--R 3 2 +--R (b - 2a b)cosh(x) +--R / +--R 4 6 4 2 3 5 +--R a b sinh(x) + (4a b cosh(x) + 6a b )sinh(x) +--R + +--R 4 2 2 3 4 3 2 4 +--R (6a b cosh(x) + 20a b cosh(x) - 2a b + 13a b )sinh(x) +--R + +--R 4 3 2 3 2 4 3 2 2 3 +--R 4a b cosh(x) + 24a b cosh(x) + (- 4a b + 36a b )cosh(x) - 8a b +--R + +--R 4 +--R 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 2 3 3 4 3 2 2 +--R a b cosh(x) + 12a b cosh(x) + (- 2a b + 34a b )cosh(x) +--R + +--R 2 3 4 4 3 2 5 +--R (- 12a b + 28a b)cosh(x) + a b - 10a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 3 2 3 2 3 4 2 +--R 2a b cosh(x) + 12a b cosh(x) + (- 4a b + 20a b)cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (- 12a b + 8a )cosh(x) + 2a b - 4a b +--R * +--R sinh(x) +--R + +--R 3 2 4 4 3 3 2 5 2 4 +--R a b cosh(x) + 4a b cosh(x) + (- 2a b + 4a )cosh(x) - 4a b cosh(x) +--R + +--R 3 2 +--R a b +--R Type: Expression Integer +--E 130 + +--S 131 of 552 +t0726:= coth(x)^2/(a+b*sinh(x))^2 +--R +--R +--R 2 +--R coth(x) +--R (129) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 131 + +--S 132 of 552 +r0726:= 2*b*acoth(cosh(x))/a^3-2*atanh((b-a*tanh(1/2*x))/_ + (a^2+b^2)^(1/2))/a/(a^2+b^2)^(1/2)-4*b^2*atanh((b-a*tanh(1/2*x))/_ + (a^2+b^2)^(1/2))/a^3/(a^2+b^2)^(1/2)-_ + coth(x)/a^2-b*cosh(x)/a^2/(a+b*sinh(x)) +--R +--R +--R (130) +--R x +--R a tanh(-) - b +--R 3 2 2 3 2 +--R ((4b + 2a b)sinh(x) + 4a b + 2a )atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R 2 | 2 2 +--R (2b sinh(x) + 2a b)\|b + a acoth(cosh(x)) +--R + +--R +-------+ +--R 2 | 2 2 +--R (- a b coth(x)sinh(x) - a coth(x) - a b cosh(x))\|b + a +--R / +--R +-------+ +--R 3 4 | 2 2 +--R (a b sinh(x) + a )\|b + a +--R Type: Expression Integer +--E 132 + +--S 133 of 552 +a0726:= integrate(t0726,x) +--R +--R +--R (131) +--R 3 2 4 3 2 2 3 3 +--R (2b + a b)sinh(x) + ((8b + 4a b)cosh(x) + 4a b + 2a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 2 +--R ((12b + 6a b)cosh(x) + (12a b + 6a )cosh(x) - 4b - 2a b)sinh(x) +--R + +--R 3 2 3 2 3 2 +--R (8b + 4a b)cosh(x) + (12a b + 6a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 8b - 4a b)cosh(x) - 4a b - 2a +--R * +--R sinh(x) +--R + +--R 3 2 4 2 3 3 3 2 2 +--R (2b + a b)cosh(x) + (4a b + 2a )cosh(x) + (- 4b - 2a b)cosh(x) +--R + +--R 2 3 3 2 +--R (- 4a b - 2a )cosh(x) + 2b + a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 4 2 3 +--R 2b sinh(x) + (8b cosh(x) + 4a b)sinh(x) +--R + +--R 2 2 2 2 +--R (12b cosh(x) + 12a b cosh(x) - 4b )sinh(x) +--R + +--R 2 3 2 2 +--R (8b cosh(x) + 12a b cosh(x) - 8b cosh(x) - 4a b)sinh(x) +--R + +--R 2 4 3 2 2 2 +--R 2b cosh(x) + 4a b cosh(x) - 4b cosh(x) - 4a b cosh(x) + 2b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 2 4 2 3 +--R - 2b sinh(x) + (- 8b cosh(x) - 4a b)sinh(x) +--R + +--R 2 2 2 2 +--R (- 12b cosh(x) - 12a b cosh(x) + 4b )sinh(x) +--R + +--R 2 3 2 2 +--R (- 8b cosh(x) - 12a b cosh(x) + 8b cosh(x) + 4a b)sinh(x) +--R + +--R 2 4 3 2 2 2 +--R - 2b cosh(x) - 4a b cosh(x) + 4b cosh(x) + 4a b cosh(x) - 2b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R 2 3 2 2 +--R 2a sinh(x) + (6a cosh(x) - 4a b)sinh(x) +--R + +--R 2 2 2 2 3 +--R (6a cosh(x) - 8a b cosh(x) - 6a )sinh(x) + 2a cosh(x) +--R + +--R 2 2 +--R - 4a b cosh(x) - 6a cosh(x) + 4a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 3 4 3 4 3 +--R a b sinh(x) + (4a b cosh(x) + 2a )sinh(x) +--R + +--R 3 2 4 3 2 +--R (6a b cosh(x) + 6a cosh(x) - 2a b)sinh(x) +--R + +--R 3 3 4 2 3 4 +--R (4a b cosh(x) + 6a cosh(x) - 4a b cosh(x) - 2a )sinh(x) +--R + +--R 3 4 4 3 3 2 4 3 +--R a b cosh(x) + 2a cosh(x) - 2a b cosh(x) - 2a cosh(x) + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 133 + +--S 134 of 552 +m0726:= a0726-r0726 +--R +--R +--R (132) +--R 4 2 2 5 4 2 2 3 3 4 +--R (2b + a b )sinh(x) + ((8b + 4a b )cosh(x) + 6a b + 3a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (12b + 6a b )cosh(x) + (20a b + 10a b)cosh(x) - 4b + 2a b +--R + +--R 4 +--R 2a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (8b + 4a b )cosh(x) + (24a b + 12a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (- 8b + 8a b + 6a )cosh(x) - 8a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (2b + a b )cosh(x) + (12a b + 6a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (- 4b + 10a b + 6a )cosh(x) + (- 12a b - 6a b)cosh(x) + 2b +--R + +--R 2 2 4 +--R - 3a b - 2a +--R * +--R sinh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (2a b + a b)cosh(x) + (4a b + 2a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (- 4a b - 2a b)cosh(x) + (- 4a b - 2a )cosh(x) + 2a b + a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 3 5 3 2 4 +--R 2b sinh(x) + (8b cosh(x) + 6a b )sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (12b cosh(x) + 20a b cosh(x) - 4b + 4a b)sinh(x) +--R + +--R 3 3 2 2 3 2 2 +--R (8b cosh(x) + 24a b cosh(x) + (- 8b + 12a b)cosh(x) - 8a b ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 2 3 3 2 2 +--R 2b cosh(x) + 12a b cosh(x) + (- 4b + 12a b)cosh(x) +--R + +--R 2 3 2 +--R - 12a b cosh(x) + 2b - 4a b +--R * +--R sinh(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R 2a b cosh(x) + 4a b cosh(x) - 4a b cosh(x) - 4a b cosh(x) + 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 3 5 3 2 4 +--R - 2b sinh(x) + (- 8b cosh(x) - 6a b )sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (- 12b cosh(x) - 20a b cosh(x) + 4b - 4a b)sinh(x) +--R + +--R 3 3 2 2 3 2 2 +--R (- 8b cosh(x) - 24a b cosh(x) + (8b - 12a b)cosh(x) + 8a b ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 2 3 3 2 2 +--R - 2b cosh(x) - 12a b cosh(x) + (4b - 12a b)cosh(x) +--R + +--R 2 3 2 +--R 12a b cosh(x) - 2b + 4a b +--R * +--R sinh(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R - 2a b cosh(x) - 4a b cosh(x) + 4a b cosh(x) + 4a b cosh(x) - 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R 4 2 2 5 +--R (- 4b - 2a b )sinh(x) +--R + +--R 4 2 2 3 3 4 +--R ((- 16b - 8a b )cosh(x) - 12a b - 6a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 +--R (- 24b - 12a b )cosh(x) + (- 40a b - 20a b)cosh(x) + 8b +--R + +--R 2 2 4 +--R - 4a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (- 16b - 8a b )cosh(x) + (- 48a b - 24a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (16b - 16a b - 12a )cosh(x) + 16a b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (- 4b - 2a b )cosh(x) + (- 24a b - 12a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (8b - 20a b - 12a )cosh(x) + (24a b + 12a b)cosh(x) - 4b +--R + +--R 2 2 4 +--R 6a b + 4a +--R * +--R sinh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (- 4a b - 2a b)cosh(x) + (- 8a b - 4a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (8a b + 4a b)cosh(x) + (8a b + 4a )cosh(x) - 4a b - 2a b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 5 3 2 4 +--R - 2b sinh(x) + (- 8b cosh(x) - 6a b )sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (- 12b cosh(x) - 20a b cosh(x) + 4b - 4a b)sinh(x) +--R + +--R 3 3 2 2 3 2 2 +--R (- 8b cosh(x) - 24a b cosh(x) + (8b - 12a b)cosh(x) + 8a b ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 2 3 3 2 2 +--R - 2b cosh(x) - 12a b cosh(x) + (4b - 12a b)cosh(x) +--R + +--R 2 3 2 +--R 12a b cosh(x) - 2b + 4a b +--R * +--R sinh(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R - 2a b cosh(x) - 4a b cosh(x) + 4a b cosh(x) + 4a b cosh(x) - 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a acoth(cosh(x)) +--R + +--R 2 5 +--R a b coth(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R ((4a b cosh(x) + 3a b)coth(x) + a b cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 2 2 3 +--R (6a b cosh(x) + 10a b cosh(x) - 2a b + 2a )coth(x) +--R + +--R 2 2 2 2 3 +--R 4a b cosh(x) + 8a b cosh(x) - 4a b + 2a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 2 2 2 3 +--R 4a b cosh(x) + 12a b cosh(x) + (- 4a b + 6a )cosh(x) +--R + +--R 2 +--R - 4a b +--R * +--R coth(x) +--R + +--R 2 3 2 2 2 3 2 +--R 6a b cosh(x) + 12a b cosh(x) + (- 10a b + 6a )cosh(x) - 10a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 2 3 2 3 2 +--R a b cosh(x) + 6a b cosh(x) + (- 2a b + 6a )cosh(x) +--R + +--R 2 2 3 +--R - 6a b cosh(x) + a b - 2a +--R * +--R coth(x) +--R + +--R 2 4 2 3 2 3 2 +--R 4a b cosh(x) + 8a b cosh(x) + (- 8a b + 6a )cosh(x) +--R + +--R 2 2 3 +--R - 16a b cosh(x) + 4a b - 6a +--R * +--R sinh(x) +--R + +--R 2 4 3 3 2 2 3 2 +--R (a b cosh(x) + 2a cosh(x) - 2a b cosh(x) - 2a cosh(x) + a b) +--R * +--R coth(x) +--R + +--R 2 5 2 4 2 3 3 +--R a b cosh(x) + 2a b cosh(x) + (- 2a b + 2a )cosh(x) +--R + +--R 2 2 2 3 2 +--R - 6a b cosh(x) + (a b - 6a )cosh(x) + 4a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 3 2 5 3 2 4 4 +--R a b sinh(x) + (4a b cosh(x) + 3a b)sinh(x) +--R + +--R 3 2 2 4 3 2 5 3 +--R (6a b cosh(x) + 10a b cosh(x) - 2a b + 2a )sinh(x) +--R + +--R 3 2 3 4 2 3 2 5 4 +--R (4a b cosh(x) + 12a b cosh(x) + (- 4a b + 6a )cosh(x) - 4a b) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 4 4 3 3 2 5 2 +--R a b cosh(x) + 6a b cosh(x) + (- 2a b + 6a )cosh(x) +--R + +--R 4 3 2 5 +--R - 6a b cosh(x) + a b - 2a +--R * +--R sinh(x) +--R + +--R 4 4 5 3 4 2 5 4 +--R a b cosh(x) + 2a cosh(x) - 2a b cosh(x) - 2a cosh(x) + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 134 + +--S 135 of 552 +--d0726:= D(m0726,x) +--E 135 + +--S 136 of 552 +t0727:= coth(x)^3/(a+b*sinh(x))^2 +--R +--R +--R 3 +--R coth(x) +--R (133) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 136 + +--S 137 of 552 +r0727:= 2*b*csch(x)/a^3-1/2*csch(x)^2/a^2+(a^2+3*b^2)*log(sinh(x))/a^4-_ + (a^2+3*b^2)*log(a+b*sinh(x))/a^4+(a^2+b^2)/a^3/(a+b*sinh(x)) +--R +--R +--R (134) +--R 3 2 2 3 +--R ((- 6b - 2a b)sinh(x) - 6a b - 2a )log(b sinh(x) + a) +--R + +--R 3 2 2 3 +--R ((6b + 2a b)sinh(x) + 6a b + 2a )log(sinh(x)) +--R + +--R 2 2 2 3 2 2 +--R (- a b csch(x) + 4a b csch(x))sinh(x) - a csch(x) + 4a b csch(x) +--R + +--R 2 3 +--R 2a b + 2a +--R / +--R 4 5 +--R 2a b sinh(x) + 2a +--R Type: Expression Integer +--E 137 + +--S 138 of 552 +a0727:= integrate(t0727,x) +--R +--R +--R (135) +--R 3 2 6 3 2 2 3 5 +--R (3b + a b)sinh(x) + ((18b + 6a b)cosh(x) + 6a b + 2a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 +--R ((45b + 15a b)cosh(x) + (30a b + 10a )cosh(x) - 9b - 3a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 3 2 3 2 +--R (60b + 20a b)cosh(x) + (60a b + 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 36b - 12a b)cosh(x) - 12a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 2 3 3 +--R (45b + 15a b)cosh(x) + (60a b + 20a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- 54b - 18a b)cosh(x) + (- 36a b - 12a )cosh(x) + 9b + 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 2 3 4 +--R (18b + 6a b)cosh(x) + (30a b + 10a )cosh(x) +--R + +--R 3 2 3 2 3 2 +--R (- 36b - 12a b)cosh(x) + (- 36a b - 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (18b + 6a b)cosh(x) + 6a b + 2a +--R * +--R sinh(x) +--R + +--R 3 2 6 2 3 5 3 2 4 +--R (3b + a b)cosh(x) + (6a b + 2a )cosh(x) + (- 9b - 3a b)cosh(x) +--R + +--R 2 3 3 3 2 2 +--R (- 12a b - 4a )cosh(x) + (9b + 3a b)cosh(x) +--R + +--R 2 3 3 2 +--R (6a b + 2a )cosh(x) - 3b - a b +--R * +--R 2sinh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 2 6 +--R (- 3b - a b)sinh(x) +--R + +--R 3 2 2 3 5 +--R ((- 18b - 6a b)cosh(x) - 6a b - 2a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 +--R ((- 45b - 15a b)cosh(x) + (- 30a b - 10a )cosh(x) + 9b + 3a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 3 2 3 2 +--R (- 60b - 20a b)cosh(x) + (- 60a b - 20a )cosh(x) +--R + +--R 3 2 2 3 +--R (36b + 12a b)cosh(x) + 12a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 4 2 3 3 +--R (- 45b - 15a b)cosh(x) + (- 60a b - 20a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (54b + 18a b)cosh(x) + (36a b + 12a )cosh(x) - 9b - 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 2 3 4 +--R (- 18b - 6a b)cosh(x) + (- 30a b - 10a )cosh(x) +--R + +--R 3 2 3 2 3 2 +--R (36b + 12a b)cosh(x) + (36a b + 12a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 18b - 6a b)cosh(x) - 6a b - 2a +--R * +--R sinh(x) +--R + +--R 3 2 6 2 3 5 +--R (- 3b - a b)cosh(x) + (- 6a b - 2a )cosh(x) +--R + +--R 3 2 4 2 3 3 +--R (9b + 3a b)cosh(x) + (12a b + 4a )cosh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- 9b - 3a b)cosh(x) + (- 6a b - 2a )cosh(x) + 3b + a b +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 3 5 2 3 2 4 +--R (6a b + 2a )sinh(x) + ((30a b + 10a )cosh(x) + 6a b)sinh(x) +--R + +--R 2 3 2 2 2 3 3 +--R ((60a b + 20a )cosh(x) + 24a b cosh(x) - 12a b - 8a )sinh(x) +--R + +--R 2 3 3 2 2 2 3 +--R (60a b + 20a )cosh(x) + 36a b cosh(x) + (- 36a b - 24a )cosh(x) +--R + +--R 2 +--R - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 2 3 2 3 2 +--R (30a b + 10a )cosh(x) + 24a b cosh(x) + (- 36a b - 24a )cosh(x) +--R + +--R 2 2 3 +--R - 12a b cosh(x) + 6a b + 2a +--R * +--R sinh(x) +--R + +--R 2 3 5 2 4 2 3 3 +--R (6a b + 2a )cosh(x) + 6a b cosh(x) + (- 12a b - 8a )cosh(x) +--R + +--R 2 2 2 3 +--R - 6a b cosh(x) + (6a b + 2a )cosh(x) +--R / +--R 4 6 4 5 5 +--R a b sinh(x) + (6a b cosh(x) + 2a )sinh(x) +--R + +--R 4 2 5 4 4 +--R (15a b cosh(x) + 10a cosh(x) - 3a b)sinh(x) +--R + +--R 4 3 5 2 4 5 3 +--R (20a b cosh(x) + 20a cosh(x) - 12a b cosh(x) - 4a )sinh(x) +--R + +--R 4 4 5 3 4 2 5 4 +--R (15a b cosh(x) + 20a cosh(x) - 18a b cosh(x) - 12a cosh(x) + 3a b) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 5 4 4 3 5 2 +--R 6a b cosh(x) + 10a cosh(x) - 12a b cosh(x) - 12a cosh(x) +--R + +--R 4 5 +--R 6a b cosh(x) + 2a +--R * +--R sinh(x) +--R + +--R 4 6 5 5 4 4 5 3 4 2 +--R a b cosh(x) + 2a cosh(x) - 3a b cosh(x) - 4a cosh(x) + 3a b cosh(x) +--R + +--R 5 4 +--R 2a cosh(x) - a b +--R Type: Union(Expression Integer,...) +--E 138 + +--S 139 of 552 +m0727:= a0727-r0727 +--R +--R +--R (136) +--R 4 2 2 7 +--R (6b + 2a b )sinh(x) +--R + +--R 4 2 2 3 3 6 +--R ((36b + 12a b )cosh(x) + 18a b + 6a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (90b + 30a b )cosh(x) + (96a b + 32a b)cosh(x) - 18b + 6a b +--R + +--R 4 +--R 4a +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (120b + 40a b )cosh(x) + (210a b + 70a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (- 72b + 36a b + 20a )cosh(x) - 42a b - 14a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (90b + 30a b )cosh(x) + (240a b + 80a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 +--R (- 108b + 84a b + 40a )cosh(x) + (- 144a b - 48a b)cosh(x) +--R + +--R 4 2 2 4 +--R 18b - 18a b - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 5 3 3 4 +--R (36b + 12a b )cosh(x) + (150a b + 50a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (- 72b + 96a b + 40a )cosh(x) + (- 180a b - 60a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (36b - 60a b - 24a )cosh(x) + 30a b + 10a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 6 3 3 5 +--R (6b + 2a b )cosh(x) + (48a b + 16a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (- 18b + 54a b + 20a )cosh(x) + (- 96a b - 32a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (18b - 66a b - 24a )cosh(x) + (48a b + 16a b)cosh(x) - 6b +--R + +--R 2 2 4 +--R 10a b + 4a +--R * +--R sinh(x) +--R + +--R 3 3 6 2 2 4 5 +--R (6a b + 2a b)cosh(x) + (12a b + 4a )cosh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (- 18a b - 6a b)cosh(x) + (- 24a b - 8a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (18a b + 6a b)cosh(x) + (12a b + 4a )cosh(x) - 6a b - 2a b +--R * +--R log(b sinh(x) + a) +--R + +--R 4 2 2 7 +--R (- 6b - 2a b )sinh(x) +--R + +--R 4 2 2 3 3 6 +--R ((- 36b - 12a b )cosh(x) - 18a b - 6a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 +--R (- 90b - 30a b )cosh(x) + (- 96a b - 32a b)cosh(x) + 18b +--R + +--R 2 2 4 +--R - 6a b - 4a +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (- 120b - 40a b )cosh(x) + (- 210a b - 70a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (72b - 36a b - 20a )cosh(x) + 42a b + 14a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (- 90b - 30a b )cosh(x) + (- 240a b - 80a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (108b - 84a b - 40a )cosh(x) + (144a b + 48a b)cosh(x) - 18b +--R + +--R 2 2 4 +--R 18a b + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 5 3 3 4 +--R (- 36b - 12a b )cosh(x) + (- 150a b - 50a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (72b - 96a b - 40a )cosh(x) + (180a b + 60a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (- 36b + 60a b + 24a )cosh(x) - 30a b - 10a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 6 3 3 5 +--R (- 6b - 2a b )cosh(x) + (- 48a b - 16a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (18b - 54a b - 20a )cosh(x) + (96a b + 32a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 +--R (- 18b + 66a b + 24a )cosh(x) + (- 48a b - 16a b)cosh(x) +--R + +--R 4 2 2 4 +--R 6b - 10a b - 4a +--R * +--R sinh(x) +--R + +--R 3 3 6 2 2 4 5 +--R (- 6a b - 2a b)cosh(x) + (- 12a b - 4a )cosh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (18a b + 6a b)cosh(x) + (24a b + 8a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (- 18a b - 6a b)cosh(x) + (- 12a b - 4a )cosh(x) + 6a b + 2a b +--R * +--R log(sinh(x)) +--R + +--R 4 2 2 7 +--R (6b + 2a b )sinh(x) +--R + +--R 4 2 2 3 3 6 +--R ((36b + 12a b )cosh(x) + 18a b + 6a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (90b + 30a b )cosh(x) + (96a b + 32a b)cosh(x) - 18b + 6a b +--R + +--R 4 +--R 4a +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (120b + 40a b )cosh(x) + (210a b + 70a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (- 72b + 36a b + 20a )cosh(x) - 42a b - 14a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (90b + 30a b )cosh(x) + (240a b + 80a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 +--R (- 108b + 84a b + 40a )cosh(x) + (- 144a b - 48a b)cosh(x) +--R + +--R 4 2 2 4 +--R 18b - 18a b - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 5 3 3 4 +--R (36b + 12a b )cosh(x) + (150a b + 50a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (- 72b + 96a b + 40a )cosh(x) + (- 180a b - 60a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (36b - 60a b - 24a )cosh(x) + 30a b + 10a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 6 3 3 5 +--R (6b + 2a b )cosh(x) + (48a b + 16a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (- 18b + 54a b + 20a )cosh(x) + (- 96a b - 32a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (18b - 66a b - 24a )cosh(x) + (48a b + 16a b)cosh(x) - 6b +--R + +--R 2 2 4 +--R 10a b + 4a +--R * +--R sinh(x) +--R + +--R 3 3 6 2 2 4 5 +--R (6a b + 2a b)cosh(x) + (12a b + 4a )cosh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (- 18a b - 6a b)cosh(x) + (- 24a b - 8a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (18a b + 6a b)cosh(x) + (12a b + 4a )cosh(x) - 6a b - 2a b +--R * +--R 2sinh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 4 2 2 7 +--R (- 6b - 2a b )sinh(x) +--R + +--R 4 2 2 3 3 6 +--R ((- 36b - 12a b )cosh(x) - 18a b - 6a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 +--R (- 90b - 30a b )cosh(x) + (- 96a b - 32a b)cosh(x) + 18b +--R + +--R 2 2 4 +--R - 6a b - 4a +--R * +--R 5 +--R sinh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (- 120b - 40a b )cosh(x) + (- 210a b - 70a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (72b - 36a b - 20a )cosh(x) + 42a b + 14a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (- 90b - 30a b )cosh(x) + (- 240a b - 80a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 4 +--R (108b - 84a b - 40a )cosh(x) + (144a b + 48a b)cosh(x) - 18b +--R + +--R 2 2 4 +--R 18a b + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 5 3 3 4 +--R (- 36b - 12a b )cosh(x) + (- 150a b - 50a b)cosh(x) +--R + +--R 4 2 2 4 3 3 3 2 +--R (72b - 96a b - 40a )cosh(x) + (180a b + 60a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (- 36b + 60a b + 24a )cosh(x) - 30a b - 10a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 6 3 3 5 +--R (- 6b - 2a b )cosh(x) + (- 48a b - 16a b)cosh(x) +--R + +--R 4 2 2 4 4 3 3 3 +--R (18b - 54a b - 20a )cosh(x) + (96a b + 32a b)cosh(x) +--R + +--R 4 2 2 4 2 3 3 +--R (- 18b + 66a b + 24a )cosh(x) + (- 48a b - 16a b)cosh(x) +--R + +--R 4 2 2 4 +--R 6b - 10a b - 4a +--R * +--R sinh(x) +--R + +--R 3 3 6 2 2 4 5 +--R (- 6a b - 2a b)cosh(x) + (- 12a b - 4a )cosh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (18a b + 6a b)cosh(x) + (24a b + 8a )cosh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (- 18a b - 6a b)cosh(x) + (- 12a b - 4a )cosh(x) + 6a b + 2a b +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 2 3 7 +--R (a b csch(x) - 4a b csch(x))sinh(x) +--R + +--R 2 2 3 2 3 2 2 +--R (6a b cosh(x) + 3a b)csch(x) + (- 24a b cosh(x) - 12a b )csch(x) +--R + +--R 3 3 +--R 10a b + 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 2 2 3 2 2 4 2 +--R (15a b cosh(x) + 16a b cosh(x) - 3a b + 2a )csch(x) +--R + +--R 3 2 2 2 3 3 +--R (- 60a b cosh(x) - 64a b cosh(x) + 12a b - 8a b)csch(x) +--R + +--R 3 3 2 2 +--R (48a b + 8a b)cosh(x) + 20a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 2 3 3 2 2 2 4 3 +--R (20a b cosh(x) + 35a b cosh(x) + (- 12a b + 10a )cosh(x) - 7a b) +--R * +--R 2 +--R csch(x) +--R + +--R 3 3 2 2 2 3 3 +--R - 80a b cosh(x) - 140a b cosh(x) + (48a b - 40a b)cosh(x) +--R + +--R 2 2 +--R 28a b +--R * +--R csch(x) +--R + +--R 3 3 2 2 2 3 3 +--R (90a b + 10a b)cosh(x) + 88a b cosh(x) - 18a b + 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 2 4 3 3 2 2 4 2 +--R 15a b cosh(x) + 40a b cosh(x) + (- 18a b + 20a )cosh(x) +--R + +--R 3 2 2 4 +--R - 24a b cosh(x) + 3a b - 4a +--R * +--R 2 +--R csch(x) +--R + +--R 3 4 2 2 3 3 3 2 +--R - 60a b cosh(x) - 160a b cosh(x) + (72a b - 80a b)cosh(x) +--R + +--R 2 2 3 3 +--R 96a b cosh(x) - 12a b + 16a b +--R * +--R csch(x) +--R + +--R 3 3 2 2 2 3 3 2 2 +--R 80a b cosh(x) + 152a b cosh(x) + (- 48a b + 24a b)cosh(x) - 28a b +--R + +--R 4 +--R - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 2 5 3 4 2 2 4 3 +--R 6a b cosh(x) + 25a b cosh(x) + (- 12a b + 20a )cosh(x) +--R + +--R 3 2 2 2 4 3 +--R - 30a b cosh(x) + (6a b - 12a )cosh(x) + 5a b +--R * +--R 2 +--R csch(x) +--R + +--R 3 5 2 2 4 3 3 3 +--R - 24a b cosh(x) - 100a b cosh(x) + (48a b - 80a b)cosh(x) +--R + +--R 2 2 2 3 3 2 2 +--R 120a b cosh(x) + (- 24a b + 48a b)cosh(x) - 20a b +--R * +--R csch(x) +--R + +--R 3 3 4 2 2 3 +--R (30a b - 10a b)cosh(x) + 128a b cosh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (- 36a b + 60a b)cosh(x) + (- 72a b - 24a )cosh(x) + 6a b - 14a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 2 6 3 5 2 2 4 4 +--R a b cosh(x) + 8a b cosh(x) + (- 3a b + 10a )cosh(x) +--R + +--R 3 3 2 2 4 2 3 2 2 +--R - 16a b cosh(x) + (3a b - 12a )cosh(x) + 8a b cosh(x) - a b +--R + +--R 4 +--R 2a +--R * +--R 2 +--R csch(x) +--R + +--R 3 6 2 2 5 3 3 4 +--R - 4a b cosh(x) - 32a b cosh(x) + (12a b - 40a b)cosh(x) +--R + +--R 2 2 3 3 3 2 2 2 +--R 64a b cosh(x) + (- 12a b + 48a b)cosh(x) - 32a b cosh(x) +--R + +--R 3 3 +--R 4a b - 8a b +--R * +--R csch(x) +--R + +--R 3 5 2 2 4 3 3 +--R - 8a b cosh(x) + 52a b cosh(x) + 56a b cosh(x) +--R + +--R 2 2 4 2 3 2 2 +--R (- 60a b - 24a )cosh(x) - 32a b cosh(x) + 8a b +--R * +--R sinh(x) +--R + +--R 3 6 4 5 3 4 4 3 +--R a b cosh(x) + 2a cosh(x) - 3a b cosh(x) - 4a cosh(x) +--R + +--R 3 2 4 3 +--R 3a b cosh(x) + 2a cosh(x) - a b +--R * +--R 2 +--R csch(x) +--R + +--R 2 2 6 3 5 2 2 4 3 3 +--R - 4a b cosh(x) - 8a b cosh(x) + 12a b cosh(x) + 16a b cosh(x) +--R + +--R 2 2 2 3 2 2 +--R - 12a b cosh(x) - 8a b cosh(x) + 4a b +--R * +--R csch(x) +--R + +--R 3 3 6 2 2 5 3 3 4 +--R (- 2a b - 2a b)cosh(x) + 8a b cosh(x) + (6a b + 18a b)cosh(x) +--R + +--R 2 2 4 3 3 3 2 2 2 +--R (- 16a b - 8a )cosh(x) + (- 6a b - 18a b)cosh(x) + 8a b cosh(x) +--R + +--R 3 3 +--R 2a b + 2a b +--R / +--R 4 2 7 4 2 5 6 +--R 2a b sinh(x) + (12a b cosh(x) + 6a b)sinh(x) +--R + +--R 4 2 2 5 4 2 6 5 +--R (30a b cosh(x) + 32a b cosh(x) - 6a b + 4a )sinh(x) +--R + +--R 4 2 3 5 2 4 2 6 5 +--R (40a b cosh(x) + 70a b cosh(x) + (- 24a b + 20a )cosh(x) - 14a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 4 2 4 5 3 4 2 6 2 +--R 30a b cosh(x) + 80a b cosh(x) + (- 36a b + 40a )cosh(x) +--R + +--R 5 4 2 6 +--R - 48a b cosh(x) + 6a b - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 5 5 4 4 2 6 3 +--R 12a b cosh(x) + 50a b cosh(x) + (- 24a b + 40a )cosh(x) +--R + +--R 5 2 4 2 6 5 +--R - 60a b cosh(x) + (12a b - 24a )cosh(x) + 10a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 6 5 5 4 2 6 4 +--R 2a b cosh(x) + 16a b cosh(x) + (- 6a b + 20a )cosh(x) +--R + +--R 5 3 4 2 6 2 5 4 2 6 +--R - 32a b cosh(x) + (6a b - 24a )cosh(x) + 16a b cosh(x) - 2a b + 4a +--R * +--R sinh(x) +--R + +--R 5 6 6 5 5 4 6 3 5 2 +--R 2a b cosh(x) + 4a cosh(x) - 6a b cosh(x) - 8a cosh(x) + 6a b cosh(x) +--R + +--R 6 5 +--R 4a cosh(x) - 2a b +--R Type: Expression Integer +--E 139 + +--S 140 of 552 +d0727:= D(m0727,x) +--R +--R +--R (137) +--R 4 2 5 12 +--R (- a b coth(x)csch(x) + 2b coth(x)csch(x))sinh(x) +--R + +--R 4 2 3 2 +--R (- 10a b cosh(x) - 6a b )coth(x)csch(x) +--R + +--R 5 4 5 2 3 +--R (20b cosh(x) + 12a b )coth(x)csch(x) - 6b - 2a b +--R * +--R 11 +--R sinh(x) +--R + +--R 4 2 2 3 4 3 2 2 +--R (- 45a b cosh(x) - 56a b cosh(x) + 5a b - 13a b )coth(x)csch(x) +--R + +--R 5 2 4 5 2 3 +--R (90b cosh(x) + 112a b cosh(x) - 10b + 26a b )coth(x)csch(x) +--R + +--R 5 2 3 4 3 2 +--R (- 53b - 17a b )cosh(x) - 24a b - 4a b +--R * +--R 10 +--R sinh(x) +--R + +--R 4 3 2 3 2 4 3 2 +--R - 120a b cosh(x) - 234a b cosh(x) + (40a b - 114a b )cosh(x) +--R + +--R 2 3 4 +--R 26a b - 12a b +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 5 3 4 2 5 2 3 +--R 240b cosh(x) + 468a b cosh(x) + (- 80b + 228a b )cosh(x) +--R + +--R 4 3 2 +--R - 52a b + 24a b +--R * +--R coth(x)csch(x) +--R + +--R 5 2 3 2 4 3 2 5 +--R (- 206b - 62a b )cosh(x) + (- 200a b - 32a b )cosh(x) + 12b +--R + +--R 2 3 4 +--R - 26a b - 2a b +--R * +--R 9 +--R sinh(x) +--R + +--R 4 4 2 3 3 4 3 2 2 +--R - 210a b cosh(x) - 576a b cosh(x) + (140a b - 445a b )cosh(x) +--R + +--R 2 3 4 4 3 2 5 +--R (192a b - 100a b)cosh(x) - 10a b + 49a b - 4a +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 5 4 4 3 5 2 3 2 +--R 420b cosh(x) + 1152a b cosh(x) + (- 280b + 890a b )cosh(x) +--R + +--R 4 3 2 5 2 3 4 +--R (- 384a b + 200a b )cosh(x) + 20b - 98a b + 8a b +--R * +--R coth(x)csch(x) +--R + +--R 5 2 3 3 4 3 2 2 +--R (- 459b - 123a b )cosh(x) + (- 732a b - 108a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 +--R (79b - 219a b - 14a b)cosh(x) + 36a b + 12a b +--R * +--R 8 +--R sinh(x) +--R + +--R 4 5 2 3 4 +--R - 252a b cosh(x) - 924a b cosh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (280a b - 1016a b )cosh(x) + (616a b - 368a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 +--R (- 60a b + 336a b - 32a )cosh(x) - 44a b + 40a b +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 5 5 4 4 5 2 3 3 +--R 504b cosh(x) + 1848a b cosh(x) + (- 560b + 2032a b )cosh(x) +--R + +--R 4 3 2 2 5 2 3 4 +--R (- 1232a b + 736a b )cosh(x) + (120b - 672a b + 64a b)cosh(x) +--R + +--R 4 3 2 +--R 88a b - 80a b +--R * +--R coth(x)csch(x) +--R + +--R 5 2 3 4 4 3 2 3 +--R (- 636b - 132a b )cosh(x) + (- 1536a b - 192a b )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 +--R (212b - 812a b - 40a b)cosh(x) + (224a b + 40a b )cosh(x) +--R + +--R 2 3 4 +--R 36a b + 36a b +--R * +--R 7 +--R sinh(x) +--R + +--R 4 6 2 3 5 +--R - 210a b cosh(x) - 1008a b cosh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (350a b - 1498a b )cosh(x) + (1120a b - 784a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (- 150a b + 992a b - 112a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 +--R (- 240a b + 256a b)cosh(x) + 10a b - 70a b + 12a +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 5 6 4 5 5 2 3 4 +--R 420b cosh(x) + 2016a b cosh(x) + (- 700b + 2996a b )cosh(x) +--R + +--R 4 3 2 3 +--R (- 2240a b + 1568a b )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 +--R (300b - 1984a b + 224a b)cosh(x) + (480a b - 512a b )cosh(x) +--R + +--R 5 2 3 4 +--R - 20b + 140a b - 24a b +--R * +--R coth(x)csch(x) +--R + +--R 5 2 3 5 4 3 2 4 +--R (- 546b - 42a b )cosh(x) + (- 2016a b - 168a b )cosh(x) +--R + +--R 5 2 3 4 3 4 3 2 2 +--R (280b - 1736a b - 56a b)cosh(x) + (572a b - 40a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (10b + 226a b + 208a b)cosh(x) + 12a b + 28a b + 16a +--R * +--R 6 +--R sinh(x) +--R + +--R 4 7 2 3 6 +--R - 120a b cosh(x) - 756a b cosh(x) +--R + +--R 4 3 2 5 2 3 4 4 +--R (280a b - 1484a b )cosh(x) + (1260a b - 1064a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (- 200a b + 1640a b - 224a )cosh(x) +--R + +--R 2 3 4 2 4 3 2 5 +--R (- 540a b + 696a b)cosh(x) + (40a b - 348a b + 72a )cosh(x) +--R + +--R 2 3 4 +--R 36a b - 48a b +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 5 7 4 6 5 2 3 5 +--R 240b cosh(x) + 1512a b cosh(x) + (- 560b + 2968a b )cosh(x) +--R + +--R 4 3 2 4 +--R (- 2520a b + 2128a b )cosh(x) +--R + +--R 5 2 3 4 3 +--R (400b - 3280a b + 448a b)cosh(x) +--R + +--R 4 3 2 2 +--R (1080a b - 1392a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 +--R (- 80b + 696a b - 144a b)cosh(x) - 72a b + 96a b +--R * +--R coth(x)csch(x) +--R + +--R 5 2 3 6 4 5 +--R (- 252b + 84a b )cosh(x) - 1680a b cosh(x) +--R + +--R 5 2 3 4 4 4 3 2 3 +--R (140b - 2352a b - 28a b)cosh(x) + (744a b - 408a b )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 +--R (60b + 600a b + 492a b)cosh(x) + (72a b + 160a b + 96a )cosh(x) +--R + +--R 5 2 3 4 +--R - 12b + 20a b + 32a b +--R * +--R 5 +--R sinh(x) +--R + +--R 4 8 2 3 7 4 3 2 6 +--R - 45a b cosh(x) - 384a b cosh(x) + (140a b - 994a b )cosh(x) +--R + +--R 2 3 4 5 +--R (896a b - 952a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (- 150a b + 1650a b - 280a )cosh(x) +--R + +--R 2 3 4 3 +--R (- 640a b + 1040a b)cosh(x) +--R + +--R 4 3 2 5 2 2 3 4 +--R (60a b - 702a b + 180a )cosh(x) + (128a b - 216a b)cosh(x) +--R + +--R 4 3 2 5 +--R - 5a b + 46a b - 12a +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 5 8 4 7 5 2 3 6 +--R 90b cosh(x) + 768a b cosh(x) + (- 280b + 1988a b )cosh(x) +--R + +--R 4 3 2 5 +--R (- 1792a b + 1904a b )cosh(x) +--R + +--R 5 2 3 4 4 +--R (300b - 3300a b + 560a b)cosh(x) +--R + +--R 4 3 2 3 +--R (1280a b - 2080a b )cosh(x) +--R + +--R 5 2 3 4 2 +--R (- 120b + 1404a b - 360a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 +--R (- 256a b + 432a b )cosh(x) + 10b - 92a b + 24a b +--R * +--R coth(x)csch(x) +--R + +--R 5 2 3 7 4 3 2 6 +--R (- 6b + 138a b )cosh(x) + (- 840a b + 168a b )cosh(x) +--R + +--R 5 2 3 4 5 4 3 2 4 +--R (- 98b - 2086a b + 28a b)cosh(x) + (460a b - 880a b )cosh(x) +--R + +--R 5 2 3 4 3 +--R (150b + 870a b + 600a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (192a b + 396a b + 240a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 46b + 86a b + 140a b)cosh(x) - 36a b + 4a b + 16a +--R * +--R 4 +--R sinh(x) +--R + +--R 4 9 2 3 8 4 3 2 7 +--R - 10a b cosh(x) - 126a b cosh(x) + (40a b - 440a b )cosh(x) +--R + +--R 2 3 4 6 +--R (392a b - 560a b)cosh(x) +--R + +--R 4 3 2 5 5 +--R (- 60a b + 1024a b - 224a )cosh(x) +--R + +--R 2 3 4 4 4 3 2 5 3 +--R (- 420a b + 920a b)cosh(x) + (40a b - 728a b + 240a )cosh(x) +--R + +--R 2 3 4 2 4 3 2 5 +--R (168a b - 384a b)cosh(x) + (- 10a b + 144a b - 48a )cosh(x) +--R + +--R 2 3 4 +--R - 14a b + 24a b +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 5 9 4 8 5 2 3 7 +--R 20b cosh(x) + 252a b cosh(x) + (- 80b + 880a b )cosh(x) +--R + +--R 4 3 2 6 +--R (- 784a b + 1120a b )cosh(x) +--R + +--R 5 2 3 4 5 +--R (120b - 2048a b + 448a b)cosh(x) +--R + +--R 4 3 2 4 +--R (840a b - 1840a b )cosh(x) +--R + +--R 5 2 3 4 3 +--R (- 80b + 1456a b - 480a b)cosh(x) +--R + +--R 4 3 2 2 5 2 3 4 +--R (- 336a b + 768a b )cosh(x) + (20b - 288a b + 96a b)cosh(x) +--R + +--R 4 3 2 +--R 28a b - 48a b +--R * +--R coth(x)csch(x) +--R + +--R 5 2 3 8 4 3 2 7 +--R (66b + 102a b )cosh(x) + (- 192a b + 192a b )cosh(x) +--R + +--R 5 2 3 4 6 4 3 2 5 +--R (- 196b - 1204a b + 56a b)cosh(x) + (16a b - 968a b )cosh(x) +--R + +--R 5 2 3 4 4 +--R (200b + 740a b + 380a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (288a b + 544a b + 320a )cosh(x) +--R + +--R 5 2 3 4 2 +--R (- 76b + 140a b + 240a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 112a b + 8a b + 64a )cosh(x) + 6b - 34a b - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 10 2 3 9 4 3 2 8 +--R - a b cosh(x) - 24a b cosh(x) + (5a b - 121a b )cosh(x) +--R + +--R 2 3 4 7 4 3 2 5 6 +--R (96a b - 208a b)cosh(x) + (- 10a b + 376a b - 112a )cosh(x) +--R + +--R 2 3 4 5 4 3 2 5 4 +--R (- 144a b + 480a b)cosh(x) + (10a b - 402a b + 180a )cosh(x) +--R + +--R 2 3 4 3 4 3 2 5 2 +--R (96a b - 336a b)cosh(x) + (- 5a b + 160a b - 72a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 +--R (- 24a b + 64a b)cosh(x) + a b - 13a b + 4a +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 5 10 4 9 5 2 3 8 +--R 2b cosh(x) + 48a b cosh(x) + (- 10b + 242a b )cosh(x) +--R + +--R 4 3 2 7 5 2 3 4 6 +--R (- 192a b + 416a b )cosh(x) + (20b - 752a b + 224a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 4 +--R (288a b - 960a b )cosh(x) + (- 20b + 804a b - 360a b)cosh(x) +--R + +--R 4 3 2 3 5 2 3 4 2 +--R (- 192a b + 672a b )cosh(x) + (10b - 320a b + 144a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 +--R (48a b - 128a b )cosh(x) - 2b + 26a b - 8a b +--R * +--R coth(x)csch(x) +--R + +--R 5 2 3 9 4 3 2 8 +--R (39b + 43a b )cosh(x) + (24a b + 108a b )cosh(x) +--R + +--R 5 2 3 4 7 4 3 2 6 +--R (- 128b - 432a b + 40a b)cosh(x) + (- 156a b - 600a b )cosh(x) +--R + +--R 5 2 3 4 5 +--R (150b + 366a b + 96a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (252a b + 436a b + 240a )cosh(x) +--R + +--R 5 2 3 4 3 4 5 2 +--R (- 72b + 104a b + 200a b)cosh(x) + (- 132a b + 96a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 +--R (11b - 81a b - 16a b)cosh(x) + 12a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 10 3 2 9 2 3 4 8 +--R - 2a b cosh(x) - 18a b cosh(x) + (10a b - 44a b)cosh(x) +--R + +--R 3 2 5 7 2 3 4 6 +--R (72a b - 32a )cosh(x) + (- 20a b + 136a b)cosh(x) +--R + +--R 3 2 5 5 2 3 4 4 +--R (- 108a b + 72a )cosh(x) + (20a b - 144a b)cosh(x) +--R + +--R 3 2 5 3 2 3 4 2 +--R (72a b - 48a )cosh(x) + (- 10a b + 56a b)cosh(x) +--R + +--R 3 2 5 2 3 4 +--R (- 18a b + 8a )cosh(x) + 2a b - 4a b +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 4 10 2 3 9 4 3 2 8 +--R 4a b cosh(x) + 36a b cosh(x) + (- 20a b + 88a b )cosh(x) +--R + +--R 2 3 4 7 4 3 2 6 +--R (- 144a b + 64a b)cosh(x) + (40a b - 272a b )cosh(x) +--R + +--R 2 3 4 5 4 3 2 4 +--R (216a b - 144a b)cosh(x) + (- 40a b + 288a b )cosh(x) +--R + +--R 2 3 4 3 4 3 2 2 +--R (- 144a b + 96a b)cosh(x) + (20a b - 112a b )cosh(x) +--R + +--R 2 3 4 4 3 2 +--R (36a b - 16a b)cosh(x) - 4a b + 8a b +--R * +--R coth(x)csch(x) +--R + +--R 5 2 3 10 4 3 2 9 +--R (10b + 10a b )cosh(x) + (24a b + 32a b )cosh(x) +--R + +--R 5 2 3 4 8 4 3 2 7 +--R (- 40b - 86a b + 14a b)cosh(x) + (- 88a b - 200a b )cosh(x) +--R + +--R 5 2 3 4 6 4 3 2 5 5 +--R (60b + 96a b - 12a b)cosh(x) + (120a b + 192a b + 96a )cosh(x) +--R + +--R 5 2 3 4 4 4 3 2 5 3 +--R (- 40b + 32a b + 80a b)cosh(x) + (- 72a b - 8a b + 64a )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 2 3 +--R (10b - 58a b - 20a b)cosh(x) + (16a b - 16a b )cosh(x) + 6a b +--R + +--R 4 +--R 2a b +--R * +--R sinh(x) +--R + +--R 3 2 10 4 9 3 2 5 8 +--R - a b cosh(x) - 4a b cosh(x) + (5a b - 4a )cosh(x) +--R + +--R 4 7 3 2 5 6 4 5 +--R 16a b cosh(x) + (- 10a b + 12a )cosh(x) - 24a b cosh(x) +--R + +--R 3 2 5 4 4 3 3 2 5 2 +--R (10a b - 12a )cosh(x) + 16a b cosh(x) + (- 5a b + 4a )cosh(x) +--R + +--R 4 3 2 +--R - 4a b cosh(x) + a b +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 2 3 10 3 2 9 2 3 4 8 +--R 2a b cosh(x) + 8a b cosh(x) + (- 10a b + 8a b)cosh(x) +--R + +--R 3 2 7 2 3 4 6 3 2 5 +--R - 32a b cosh(x) + (20a b - 24a b)cosh(x) + 48a b cosh(x) +--R + +--R 2 3 4 4 3 2 3 2 3 4 2 +--R (- 20a b + 24a b)cosh(x) - 32a b cosh(x) + (10a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 +--R 8a b cosh(x) - 2a b +--R * +--R coth(x)csch(x) +--R + +--R 5 2 3 11 4 3 2 10 +--R (b + a b )cosh(x) + (4a b + 4a b )cosh(x) +--R + +--R 5 2 3 4 9 4 3 2 8 +--R (- 5b - 7a b + 2a b)cosh(x) + (- 16a b - 28a b )cosh(x) +--R + +--R 5 2 3 4 7 4 3 2 5 6 +--R (10b + 10a b - 8a b)cosh(x) + (24a b + 36a b + 16a )cosh(x) +--R + +--R 5 2 3 4 5 4 3 2 5 4 +--R (- 10b + 2a b + 12a b)cosh(x) + (- 16a b - 4a b + 16a )cosh(x) +--R + +--R 5 2 3 4 3 4 3 2 2 +--R (5b - 11a b - 8a b)cosh(x) + (4a b - 8a b )cosh(x) +--R + +--R 5 2 3 4 +--R (- b + 5a b + 2a b)cosh(x) +--R / +--R 3 4 12 3 4 4 3 11 +--R a b sinh(x) + (10a b cosh(x) + 6a b )sinh(x) +--R + +--R 3 4 2 4 3 3 4 5 2 10 +--R (45a b cosh(x) + 56a b cosh(x) - 5a b + 13a b )sinh(x) +--R + +--R 3 4 3 4 3 2 3 4 5 2 +--R 120a b cosh(x) + 234a b cosh(x) + (- 40a b + 114a b )cosh(x) +--R + +--R 4 3 6 +--R - 26a b + 12a b +--R * +--R 9 +--R sinh(x) +--R + +--R 3 4 4 4 3 3 3 4 5 2 2 +--R 210a b cosh(x) + 576a b cosh(x) + (- 140a b + 445a b )cosh(x) +--R + +--R 4 3 6 3 4 5 2 7 +--R (- 192a b + 100a b)cosh(x) + 10a b - 49a b + 4a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 4 5 4 3 4 3 4 5 2 3 +--R 252a b cosh(x) + 924a b cosh(x) + (- 280a b + 1016a b )cosh(x) +--R + +--R 4 3 6 2 3 4 5 2 7 +--R (- 616a b + 368a b)cosh(x) + (60a b - 336a b + 32a )cosh(x) +--R + +--R 4 3 6 +--R 44a b - 40a b +--R * +--R 7 +--R sinh(x) +--R + +--R 3 4 6 4 3 5 3 4 5 2 4 +--R 210a b cosh(x) + 1008a b cosh(x) + (- 350a b + 1498a b )cosh(x) +--R + +--R 4 3 6 3 3 4 5 2 7 2 +--R (- 1120a b + 784a b)cosh(x) + (150a b - 992a b + 112a )cosh(x) +--R + +--R 4 3 6 3 4 5 2 7 +--R (240a b - 256a b)cosh(x) - 10a b + 70a b - 12a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 4 7 4 3 6 3 4 5 2 5 +--R 120a b cosh(x) + 756a b cosh(x) + (- 280a b + 1484a b )cosh(x) +--R + +--R 4 3 6 4 3 4 5 2 7 3 +--R (- 1260a b + 1064a b)cosh(x) + (200a b - 1640a b + 224a )cosh(x) +--R + +--R 4 3 6 2 3 4 5 2 7 +--R (540a b - 696a b)cosh(x) + (- 40a b + 348a b - 72a )cosh(x) +--R + +--R 4 3 6 +--R - 36a b + 48a b +--R * +--R 5 +--R sinh(x) +--R + +--R 3 4 8 4 3 7 3 4 5 2 6 +--R 45a b cosh(x) + 384a b cosh(x) + (- 140a b + 994a b )cosh(x) +--R + +--R 4 3 6 5 3 4 5 2 7 4 +--R (- 896a b + 952a b)cosh(x) + (150a b - 1650a b + 280a )cosh(x) +--R + +--R 4 3 6 3 3 4 5 2 7 2 +--R (640a b - 1040a b)cosh(x) + (- 60a b + 702a b - 180a )cosh(x) +--R + +--R 4 3 6 3 4 5 2 7 +--R (- 128a b + 216a b)cosh(x) + 5a b - 46a b + 12a +--R * +--R 4 +--R sinh(x) +--R + +--R 3 4 9 4 3 8 3 4 5 2 7 +--R 10a b cosh(x) + 126a b cosh(x) + (- 40a b + 440a b )cosh(x) +--R + +--R 4 3 6 6 3 4 5 2 7 5 +--R (- 392a b + 560a b)cosh(x) + (60a b - 1024a b + 224a )cosh(x) +--R + +--R 4 3 6 4 3 4 5 2 7 3 +--R (420a b - 920a b)cosh(x) + (- 40a b + 728a b - 240a )cosh(x) +--R + +--R 4 3 6 2 3 4 5 2 7 +--R (- 168a b + 384a b)cosh(x) + (10a b - 144a b + 48a )cosh(x) +--R + +--R 4 3 6 +--R 14a b - 24a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 10 4 3 9 3 4 5 2 8 +--R a b cosh(x) + 24a b cosh(x) + (- 5a b + 121a b )cosh(x) +--R + +--R 4 3 6 7 3 4 5 2 7 6 +--R (- 96a b + 208a b)cosh(x) + (10a b - 376a b + 112a )cosh(x) +--R + +--R 4 3 6 5 3 4 5 2 7 4 +--R (144a b - 480a b)cosh(x) + (- 10a b + 402a b - 180a )cosh(x) +--R + +--R 4 3 6 3 3 4 5 2 7 2 +--R (- 96a b + 336a b)cosh(x) + (5a b - 160a b + 72a )cosh(x) +--R + +--R 4 3 6 3 4 5 2 7 +--R (24a b - 64a b)cosh(x) - a b + 13a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 10 5 2 9 4 3 6 8 +--R 2a b cosh(x) + 18a b cosh(x) + (- 10a b + 44a b)cosh(x) +--R + +--R 5 2 7 7 4 3 6 6 +--R (- 72a b + 32a )cosh(x) + (20a b - 136a b)cosh(x) +--R + +--R 5 2 7 5 4 3 6 4 +--R (108a b - 72a )cosh(x) + (- 20a b + 144a b)cosh(x) +--R + +--R 5 2 7 3 4 3 6 2 +--R (- 72a b + 48a )cosh(x) + (10a b - 56a b)cosh(x) +--R + +--R 5 2 7 4 3 6 +--R (18a b - 8a )cosh(x) - 2a b + 4a b +--R * +--R sinh(x) +--R + +--R 5 2 10 6 9 5 2 7 8 6 7 +--R a b cosh(x) + 4a b cosh(x) + (- 5a b + 4a )cosh(x) - 16a b cosh(x) +--R + +--R 5 2 7 6 6 5 5 2 7 4 +--R (10a b - 12a )cosh(x) + 24a b cosh(x) + (- 10a b + 12a )cosh(x) +--R + +--R 6 3 5 2 7 2 6 5 2 +--R - 16a b cosh(x) + (5a b - 4a )cosh(x) + 4a b cosh(x) - a b +--R Type: Expression Integer +--E 140 + +--S 141 of 552 +t0728:= coth(x)/(%i+sinh(x))^2 +--R +--R +--R coth(x) +--R (138) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 141 + +--S 142 of 552 +r0728:= -log(sinh(x))+log(%i+sinh(x))-%i/(%i+sinh(x)) +--R +--R +--R (sinh(x) + %i)log(sinh(x) + %i) + (- sinh(x) - %i)log(sinh(x)) - %i +--R (139) ------------------------------------------------------------------- +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 142 + +--S 143 of 552 +a0728:= integrate(t0728,x) +--R +--R +--R (140) +--R 2 2 +--R (2sinh(x) + (4cosh(x) + 4%i)sinh(x) + 2cosh(x) + 4%i cosh(x) - 2) +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 2 2 +--R (- sinh(x) + (- 2cosh(x) - 2%i)sinh(x) - cosh(x) - 2%i cosh(x) + 1) +--R * +--R 2sinh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R - 2%i sinh(x) - 2%i cosh(x) +--R / +--R 2 2 +--R sinh(x) + (2cosh(x) + 2%i)sinh(x) + cosh(x) + 2%i cosh(x) - 1 +--R Type: Union(Expression Complex Integer,...) +--E 143 + +--S 144 of 552 +m0728:= a0728-r0728 +--R +--R +--R (141) +--R 3 2 +--R 2sinh(x) + (4cosh(x) + 6%i)sinh(x) +--R + +--R 2 2 +--R (2cosh(x) + 8%i cosh(x) - 6)sinh(x) + 2%i cosh(x) - 4cosh(x) - 2%i +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 3 2 +--R - sinh(x) + (- 2cosh(x) - 3%i)sinh(x) +--R + +--R 2 2 +--R (- cosh(x) - 4%i cosh(x) + 3)sinh(x) - %i cosh(x) + 2cosh(x) + %i +--R * +--R log(sinh(x) + %i) +--R + +--R 3 2 +--R sinh(x) + (2cosh(x) + 3%i)sinh(x) +--R + +--R 2 2 +--R (cosh(x) + 4%i cosh(x) - 3)sinh(x) + %i cosh(x) - 2cosh(x) - %i +--R * +--R log(sinh(x)) +--R + +--R 3 2 +--R - sinh(x) + (- 2cosh(x) - 3%i)sinh(x) +--R + +--R 2 2 +--R (- cosh(x) - 4%i cosh(x) + 3)sinh(x) - %i cosh(x) + 2cosh(x) + %i +--R * +--R 2sinh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 +--R - %i sinh(x) + %i cosh(x) - %i +--R / +--R 3 2 2 +--R sinh(x) + (2cosh(x) + 3%i)sinh(x) + (cosh(x) + 4%i cosh(x) - 3)sinh(x) +--R + +--R 2 +--R %i cosh(x) - 2cosh(x) - %i +--R Type: Expression Complex Integer +--E 144 + +--S 145 of 552 +d0728:= D(m0728,x) +--R +--R +--R (142) +--R 5 4 3 +--R sinh(x) + (2cosh(x) + 5%i)sinh(x) + (7%i cosh(x) - 4)sinh(x) +--R + +--R 3 2 2 +--R (- 2cosh(x) - 3%i cosh(x) - 3cosh(x) + 4%i)sinh(x) +--R + +--R 4 3 2 +--R (- cosh(x) - 7%i cosh(x) + 6cosh(x) + 7%i cosh(x) - 5)sinh(x) +--R + +--R 4 3 2 +--R - 2%i cosh(x) + 5cosh(x) + 3%i cosh(x) - 5cosh(x) - %i +--R / +--R 5 4 +--R sinh(x) + (3cosh(x) + 5%i)sinh(x) +--R + +--R 2 3 +--R (3cosh(x) + 12%i cosh(x) - 10)sinh(x) +--R + +--R 3 2 2 +--R (cosh(x) + 9%i cosh(x) - 18cosh(x) - 10%i)sinh(x) +--R + +--R 3 2 3 +--R (2%i cosh(x) - 9cosh(x) - 12%i cosh(x) + 5)sinh(x) - cosh(x) +--R + +--R 2 +--R - 3%i cosh(x) + 3cosh(x) + %i +--R Type: Expression Complex Integer +--E 145 + +--S 146 of 552 +t0729:= coth(x)^2/(%i+sinh(x))^2 +--R +--R +--R 2 +--R coth(x) +--R (143) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 146 + +--S 147 of 552 +r0729:= 2*%i*acoth(cosh(x))+coth(x)-2*%i*cosh(x)/(1-%i*sinh(x)) +--R +--R +--R (144) +--R (2%i sinh(x) - 2)acoth(cosh(x)) + coth(x)sinh(x) + %i coth(x) + 2cosh(x) +--R ------------------------------------------------------------------------ +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 147 + +--S 148 of 552 +a0729:= integrate(t0729,x) +--R +--R +--R (145) +--R 3 2 +--R 2%i sinh(x) + (6%i cosh(x) - 2)sinh(x) +--R + +--R 2 3 2 +--R (6%i cosh(x) - 4cosh(x) - 2%i)sinh(x) + 2%i cosh(x) - 2cosh(x) +--R + +--R - 2%i cosh(x) + 2 +--R * +--R sinh(x) + cosh(x) + 1 +--R log(---------------------) +--R sinh(x) + cosh(x) - 1 +--R + +--R 2 2 +--R - 4%i sinh(x) + (- 8%i cosh(x) + 2)sinh(x) - 4%i cosh(x) + 2cosh(x) + 6%i +--R / +--R 3 2 2 +--R sinh(x) + (3cosh(x) + %i)sinh(x) + (3cosh(x) + 2%i cosh(x) - 1)sinh(x) +--R + +--R 3 2 +--R cosh(x) + %i cosh(x) - cosh(x) - %i +--R Type: Union(Expression Complex Integer,...) +--E 148 + +--S 149 of 552 +m0729:= a0729-r0729 +--R +--R +--R (146) +--R 4 3 +--R 2%i sinh(x) + (6%i cosh(x) - 4)sinh(x) +--R + +--R 2 2 +--R (6%i cosh(x) - 10cosh(x) - 4%i)sinh(x) +--R + +--R 3 2 3 +--R (2%i cosh(x) - 8cosh(x) - 6%i cosh(x) + 4)sinh(x) - 2cosh(x) +--R + +--R 2 +--R - 2%i cosh(x) + 2cosh(x) + 2%i +--R * +--R sinh(x) + cosh(x) + 1 +--R log(---------------------) +--R sinh(x) + cosh(x) - 1 +--R + +--R 4 3 +--R - 2%i sinh(x) + (- 6%i cosh(x) + 4)sinh(x) +--R + +--R 2 2 +--R (- 6%i cosh(x) + 10cosh(x) + 4%i)sinh(x) +--R + +--R 3 2 3 +--R (- 2%i cosh(x) + 8cosh(x) + 6%i cosh(x) - 4)sinh(x) + 2cosh(x) +--R + +--R 2 +--R 2%i cosh(x) - 2cosh(x) - 2%i +--R * +--R acoth(cosh(x)) +--R + +--R 4 3 +--R - coth(x)sinh(x) + ((- 3cosh(x) - 2%i)coth(x) - 2cosh(x) - 4%i)sinh(x) +--R + +--R 2 2 +--R ((- 3cosh(x) - 5%i cosh(x) + 2)coth(x) - 6cosh(x) - 10%i cosh(x) + 6) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 3 +--R (- cosh(x) - 4%i cosh(x) + 3cosh(x) + 2%i)coth(x) - 6cosh(x) +--R + +--R 2 +--R - 8%i cosh(x) + 12cosh(x) + 8%i +--R * +--R sinh(x) +--R + +--R 3 2 4 +--R (- %i cosh(x) + cosh(x) + %i cosh(x) - 1)coth(x) - 2cosh(x) +--R + +--R 3 2 +--R - 2%i cosh(x) + 6cosh(x) + 4%i cosh(x) - 6 +--R / +--R 4 3 +--R sinh(x) + (3cosh(x) + 2%i)sinh(x) +--R + +--R 2 2 +--R (3cosh(x) + 5%i cosh(x) - 2)sinh(x) +--R + +--R 3 2 3 +--R (cosh(x) + 4%i cosh(x) - 3cosh(x) - 2%i)sinh(x) + %i cosh(x) +--R + +--R 2 +--R - cosh(x) - %i cosh(x) + 1 +--R Type: Expression Complex Integer +--E 149 + +--S 150 of 552 +d0729:= D(m0729,x) +--R +--R +--R (147) +--R 9 +--R 2%i sinh(x) +--R + +--R 2 2 2 8 +--R ((cosh(x) - 1)coth(x) - 3cosh(x) + 12%i cosh(x) - 5)sinh(x) +--R + +--R 3 2 2 3 +--R (6cosh(x) + 4%i cosh(x) - 6cosh(x) - 4%i)coth(x) - 18cosh(x) +--R + +--R 2 +--R 20%i cosh(x) - 26cosh(x) - 6%i +--R * +--R 7 +--R sinh(x) +--R + +--R 4 3 2 2 +--R (15cosh(x) + 22%i cosh(x) - 23cosh(x) - 22%i cosh(x) + 8)coth(x) +--R + +--R 4 3 2 +--R - 43cosh(x) - 14%i cosh(x) - 35cosh(x) - 22%i cosh(x) + 2 +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 20cosh(x) + 50%i cosh(x) - 58cosh(x) - 62%i cosh(x) +--R + +--R 38cosh(x) + 12%i +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 3 2 +--R - 48cosh(x) - 86%i cosh(x) + 26cosh(x) - 4%i cosh(x) - 6cosh(x) +--R + +--R 2%i +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 15cosh(x) + 60%i cosh(x) - 88cosh(x) - 106%i cosh(x) +--R + +--R 2 +--R 87cosh(x) + 46%i cosh(x) - 14 +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 4 3 +--R - 15cosh(x) - 108%i cosh(x) + 102cosh(x) + 78%i cosh(x) +--R + +--R 2 +--R - 51cosh(x) - 18%i cosh(x) - 4 +--R * +--R 4 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 6cosh(x) + 40%i cosh(x) - 78cosh(x) - 108%i cosh(x) +--R + +--R 3 2 +--R 114cosh(x) + 80%i cosh(x) - 42cosh(x) - 12%i +--R * +--R 2 +--R coth(x) +--R + +--R 7 6 5 4 3 +--R 22cosh(x) - 48%i cosh(x) + 78cosh(x) + 118%i cosh(x) - 86cosh(x) +--R + +--R 2 +--R - 76%i cosh(x) + 2cosh(x) + 6%i +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 +--R cosh(x) + 14%i cosh(x) - 39cosh(x) - 62%i cosh(x) +--R + +--R 4 3 2 +--R 83cosh(x) + 74%i cosh(x) - 53cosh(x) - 26%i cosh(x) + 8 +--R * +--R 2 +--R coth(x) +--R + +--R 8 7 6 5 4 +--R 27cosh(x) + 10%i cosh(x) + cosh(x) + 50%i cosh(x) - 49cosh(x) +--R + +--R 3 2 +--R - 74%i cosh(x) + 31cosh(x) + 14%i cosh(x) - 10 +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 2%i cosh(x) - 10cosh(x) - 18%i cosh(x) + 30cosh(x) +--R + +--R 4 3 2 +--R 34%i cosh(x) - 30cosh(x) - 22%i cosh(x) + 10cosh(x) + 4%i +--R * +--R 2 +--R coth(x) +--R + +--R 9 8 7 6 5 +--R 12cosh(x) + 16%i cosh(x) - 22cosh(x) - 12%i cosh(x) - 2cosh(x) +--R + +--R 4 3 2 +--R - 4%i cosh(x) + 30cosh(x) + 4%i cosh(x) - 18cosh(x) - 4%i +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - cosh(x) - 2%i cosh(x) + 4cosh(x) + 6%i cosh(x) - 6cosh(x) +--R + +--R 3 2 +--R - 6%i cosh(x) + 4cosh(x) + 2%i cosh(x) - 1 +--R * +--R 2 +--R coth(x) +--R + +--R 10 9 8 7 6 +--R 2cosh(x) + 4%i cosh(x) - 7cosh(x) - 10%i cosh(x) + 4cosh(x) +--R + +--R 5 4 3 2 +--R 14%i cosh(x) + 6cosh(x) - 6%i cosh(x) - 6cosh(x) - 2%i cosh(x) + 1 +--R / +--R 2 8 +--R (cosh(x) - 1)sinh(x) +--R + +--R 3 2 7 +--R (6cosh(x) + 4%i cosh(x) - 6cosh(x) - 4%i)sinh(x) +--R + +--R 4 3 2 6 +--R (15cosh(x) + 22%i cosh(x) - 23cosh(x) - 22%i cosh(x) + 8)sinh(x) +--R + +--R 5 4 3 2 +--R 20cosh(x) + 50%i cosh(x) - 58cosh(x) - 62%i cosh(x) + 38cosh(x) +--R + +--R 12%i +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 15cosh(x) + 60%i cosh(x) - 88cosh(x) - 106%i cosh(x) + 87cosh(x) +--R + +--R 46%i cosh(x) - 14 +--R * +--R 4 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 6cosh(x) + 40%i cosh(x) - 78cosh(x) - 108%i cosh(x) + 114cosh(x) +--R + +--R 2 +--R 80%i cosh(x) - 42cosh(x) - 12%i +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R cosh(x) + 14%i cosh(x) - 39cosh(x) - 62%i cosh(x) + 83cosh(x) +--R + +--R 3 2 +--R 74%i cosh(x) - 53cosh(x) - 26%i cosh(x) + 8 +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 2%i cosh(x) - 10cosh(x) - 18%i cosh(x) + 30cosh(x) +--R + +--R 4 3 2 +--R 34%i cosh(x) - 30cosh(x) - 22%i cosh(x) + 10cosh(x) + 4%i +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - cosh(x) - 2%i cosh(x) + 4cosh(x) + 6%i cosh(x) - 6cosh(x) +--R + +--R 3 2 +--R - 6%i cosh(x) + 4cosh(x) + 2%i cosh(x) - 1 +--R Type: Expression Complex Integer +--E 150 + +--S 151 of 552 +t0730:= coth(x)^3/(%i+sinh(x))^2 +--R +--R +--R 3 +--R coth(x) +--R (148) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 151 + +--S 152 of 552 +r0730:= 2*%i*csch(x)+1/2*csch(x)^2+2*log(sinh(x))-2*log(%i+sinh(x)) +--R +--R +--R 2 +--R - 4log(sinh(x) + %i) + 4log(sinh(x)) + csch(x) + 4%i csch(x) +--R (149) ------------------------------------------------------------- +--R 2 +--R Type: Expression Complex Integer +--E 152 + +--S 153 of 552 +a0730:= integrate(t0730,x) +--R +--R +--R (150) +--R 4 3 2 2 +--R - 4sinh(x) - 16cosh(x)sinh(x) + (- 24cosh(x) + 8)sinh(x) +--R + +--R 3 4 2 +--R (- 16cosh(x) + 16cosh(x))sinh(x) - 4cosh(x) + 8cosh(x) - 4 +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 4 3 2 2 +--R 2sinh(x) + 8cosh(x)sinh(x) + (12cosh(x) - 4)sinh(x) +--R + +--R 3 4 2 +--R (8cosh(x) - 8cosh(x))sinh(x) + 2cosh(x) - 4cosh(x) + 2 +--R * +--R 2sinh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 2 +--R 4%i sinh(x) + (12%i cosh(x) + 2)sinh(x) +--R + +--R 2 3 2 +--R (12%i cosh(x) + 4cosh(x) - 4%i)sinh(x) + 4%i cosh(x) + 2cosh(x) +--R + +--R - 4%i cosh(x) +--R / +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) - 2)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) - 4cosh(x))sinh(x) + cosh(x) - 2cosh(x) + 1 +--R Type: Union(Expression Complex Integer,...) +--E 153 + +--S 154 of 552 +m0730:= a0730-r0730 +--R +--R +--R (151) +--R 4 3 2 2 +--R - 8sinh(x) - 32cosh(x)sinh(x) + (- 48cosh(x) + 16)sinh(x) +--R + +--R 3 4 2 +--R (- 32cosh(x) + 32cosh(x))sinh(x) - 8cosh(x) + 16cosh(x) - 8 +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 4 3 2 2 +--R 4sinh(x) + 16cosh(x)sinh(x) + (24cosh(x) - 8)sinh(x) +--R + +--R 3 4 2 +--R (16cosh(x) - 16cosh(x))sinh(x) + 4cosh(x) - 8cosh(x) + 4 +--R * +--R log(sinh(x) + %i) +--R + +--R 4 3 2 2 +--R - 4sinh(x) - 16cosh(x)sinh(x) + (- 24cosh(x) + 8)sinh(x) +--R + +--R 3 4 2 +--R (- 16cosh(x) + 16cosh(x))sinh(x) - 4cosh(x) + 8cosh(x) - 4 +--R * +--R log(sinh(x)) +--R + +--R 4 3 2 2 +--R 4sinh(x) + 16cosh(x)sinh(x) + (24cosh(x) - 8)sinh(x) +--R + +--R 3 4 2 +--R (16cosh(x) - 16cosh(x))sinh(x) + 4cosh(x) - 8cosh(x) + 4 +--R * +--R 2sinh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 4 +--R (- csch(x) - 4%i csch(x))sinh(x) +--R + +--R 2 3 +--R (- 4cosh(x)csch(x) - 16%i cosh(x)csch(x) + 8%i)sinh(x) +--R + +--R 2 2 2 +--R (- 6cosh(x) + 2)csch(x) + (- 24%i cosh(x) + 8%i)csch(x) +--R + +--R 24%i cosh(x) + 4 +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 +--R (- 4cosh(x) + 4cosh(x))csch(x) +--R + +--R 3 2 +--R (- 16%i cosh(x) + 16%i cosh(x))csch(x) + 24%i cosh(x) + 8cosh(x) +--R + +--R - 8%i +--R * +--R sinh(x) +--R + +--R 4 2 2 +--R (- cosh(x) + 2cosh(x) - 1)csch(x) +--R + +--R 4 2 3 2 +--R (- 4%i cosh(x) + 8%i cosh(x) - 4%i)csch(x) + 8%i cosh(x) + 4cosh(x) +--R + +--R - 8%i cosh(x) +--R / +--R 4 3 2 2 +--R 2sinh(x) + 8cosh(x)sinh(x) + (12cosh(x) - 4)sinh(x) +--R + +--R 3 4 2 +--R (8cosh(x) - 8cosh(x))sinh(x) + 2cosh(x) - 4cosh(x) + 2 +--R Type: Expression Complex Integer +--E 154 + +--S 155 of 552 +d0730:= D(m0730,x) +--R +--R +--R (152) +--R 2 8 +--R (coth(x)csch(x) + 2%i coth(x)csch(x) - 2)sinh(x) +--R + +--R 2 +--R (7cosh(x) + 2%i)coth(x)csch(x) + (14%i cosh(x) - 4)coth(x)csch(x) +--R + +--R - 12cosh(x) - 4%i +--R * +--R 7 +--R sinh(x) +--R + +--R 2 2 +--R (21cosh(x) + 13%i cosh(x) - 4)coth(x)csch(x) +--R + +--R 2 2 +--R (42%i cosh(x) - 26cosh(x) - 8%i)coth(x)csch(x) - 28cosh(x) +--R + +--R - 24%i cosh(x) + 8 +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 2 +--R (35cosh(x) + 36%i cosh(x) - 21cosh(x) - 6%i)coth(x)csch(x) +--R + +--R 3 2 +--R (70%i cosh(x) - 72cosh(x) - 42%i cosh(x) + 12)coth(x)csch(x) +--R + +--R 3 2 +--R - 28cosh(x) - 60%i cosh(x) + 36cosh(x) - 4%i +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 2 +--R (35cosh(x) + 55%i cosh(x) - 45cosh(x) - 27%i cosh(x) + 6)coth(x) +--R * +--R 2 +--R csch(x) +--R + +--R 4 3 2 +--R (70%i cosh(x) - 110cosh(x) - 90%i cosh(x) + 54cosh(x) + 12%i) +--R * +--R coth(x)csch(x) +--R + +--R 3 2 +--R - 80%i cosh(x) + 60cosh(x) - 16%i cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 21cosh(x) + 50%i cosh(x) - 50cosh(x) - 48%i cosh(x) +--R + +--R 21cosh(x) + 6%i +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 5 4 3 2 +--R 42%i cosh(x) - 100cosh(x) - 100%i cosh(x) + 96cosh(x) +--R + +--R 42%i cosh(x) - 12 +--R * +--R coth(x)csch(x) +--R + +--R 5 4 3 2 +--R 28cosh(x) - 60%i cosh(x) + 40cosh(x) - 24%i cosh(x) + 16cosh(x) +--R + +--R - 4%i +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 7cosh(x) + 27%i cosh(x) - 30cosh(x) - 42%i cosh(x) +--R + +--R 2 +--R 27cosh(x) + 15%i cosh(x) - 4 +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 6 5 4 3 +--R 14%i cosh(x) - 54cosh(x) - 60%i cosh(x) + 84cosh(x) +--R + +--R 2 +--R 54%i cosh(x) - 30cosh(x) - 8%i +--R * +--R coth(x)csch(x) +--R + +--R 6 5 3 2 +--R 28cosh(x) - 24%i cosh(x) - 16%i cosh(x) + 48cosh(x) +--R + +--R - 12%i cosh(x) - 8 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R cosh(x) + 8%i cosh(x) - 9cosh(x) - 18%i cosh(x) + 15cosh(x) +--R + +--R 2 +--R 12%i cosh(x) - 7cosh(x) - 2%i +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 7 6 5 4 +--R 2%i cosh(x) - 16cosh(x) - 18%i cosh(x) + 36cosh(x) +--R + +--R 3 2 +--R 30%i cosh(x) - 24cosh(x) - 14%i cosh(x) + 4 +--R * +--R coth(x)csch(x) +--R + +--R 7 6 5 4 3 +--R 12cosh(x) - 4%i cosh(x) - 12cosh(x) - 4%i cosh(x) + 48cosh(x) +--R + +--R 2 +--R - 12%i cosh(x) - 16cosh(x) - 4%i +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R %i cosh(x) - cosh(x) - 3%i cosh(x) + 3cosh(x) + 3%i cosh(x) +--R + +--R 2 +--R - 3cosh(x) - %i cosh(x) + 1 +--R * +--R 2 +--R coth(x)csch(x) +--R + +--R 7 6 5 4 3 +--R - 2cosh(x) - 2%i cosh(x) + 6cosh(x) + 6%i cosh(x) - 6cosh(x) +--R + +--R 2 +--R - 6%i cosh(x) + 2cosh(x) + 2%i +--R * +--R coth(x)csch(x) +--R + +--R 8 6 4 3 2 +--R 2cosh(x) - 4cosh(x) + 16cosh(x) - 4%i cosh(x) - 8cosh(x) +--R + +--R - 4%i cosh(x) + 2 +--R / +--R 8 7 +--R sinh(x) + (7cosh(x) + 2%i)sinh(x) +--R + +--R 2 6 +--R (21cosh(x) + 13%i cosh(x) - 4)sinh(x) +--R + +--R 3 2 5 +--R (35cosh(x) + 36%i cosh(x) - 21cosh(x) - 6%i)sinh(x) +--R + +--R 4 3 2 4 +--R (35cosh(x) + 55%i cosh(x) - 45cosh(x) - 27%i cosh(x) + 6)sinh(x) +--R + +--R 5 4 3 2 +--R 21cosh(x) + 50%i cosh(x) - 50cosh(x) - 48%i cosh(x) + 21cosh(x) +--R + +--R 6%i +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 7cosh(x) + 27%i cosh(x) - 30cosh(x) - 42%i cosh(x) + 27cosh(x) +--R + +--R 15%i cosh(x) - 4 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R cosh(x) + 8%i cosh(x) - 9cosh(x) - 18%i cosh(x) + 15cosh(x) +--R + +--R 2 +--R 12%i cosh(x) - 7cosh(x) - 2%i +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R %i cosh(x) - cosh(x) - 3%i cosh(x) + 3cosh(x) + 3%i cosh(x) +--R + +--R 2 +--R - 3cosh(x) - %i cosh(x) + 1 +--R Type: Expression Complex Integer +--E 155 + +--S 156 of 552 +t0731:= sech(x)/(a+b*sinh(x))^2 +--R +--R +--R sech(x) +--R (153) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 156 + +--S 157 of 552 +r0731:= (a^2-b^2)*atan(sinh(x))/(a^2+b^2)^2-_ + a*b*log(cosh(x)^2)/(a^2+b^2)^2+_ + 2*a*b*log(a+b*sinh(x))/(a^2+b^2)^2-b/(a^2+b^2)/(a+b*sinh(x)) +--R +--R +--R (154) +--R 2 2 +--R (2a b sinh(x) + 2a b)log(b sinh(x) + a) +--R + +--R 2 2 2 +--R (- a b sinh(x) - a b)log(cosh(x) ) +--R + +--R 3 2 2 3 3 2 +--R ((- b + a b)sinh(x) - a b + a )atan(sinh(x)) - b - a b +--R / +--R 5 2 3 4 4 3 2 5 +--R (b + 2a b + a b)sinh(x) + a b + 2a b + a +--R Type: Expression Integer +--E 157 + +--S 158 of 552 +a0731:= integrate(t0731,x) +--R +--R +--R (155) +--R 2 2 2 2 2 2 +--R - 2a b sinh(x) + (- 4a b cosh(x) - 4a b)sinh(x) - 2a b cosh(x) +--R + +--R 2 2 +--R - 4a b cosh(x) + 2a b +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 2 2 2 2 +--R 2a b sinh(x) + (4a b cosh(x) + 4a b)sinh(x) + 2a b cosh(x) +--R + +--R 2 2 +--R 4a b cosh(x) - 2a b +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 2 2 3 2 2 3 +--R (- 2b + 2a b)sinh(x) + ((- 4b + 4a b)cosh(x) - 4a b + 4a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- 2b + 2a b)cosh(x) + (- 4a b + 4a )cosh(x) + 2b - 2a b +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 3 2 3 2 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) +--R / +--R 5 2 3 4 2 +--R (b + 2a b + a b)sinh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R ((2b + 4a b + 2a b)cosh(x) + 2a b + 4a b + 2a )sinh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 5 2 3 +--R (b + 2a b + a b)cosh(x) + (2a b + 4a b + 2a )cosh(x) - b - 2a b +--R + +--R 4 +--R - a b +--R Type: Union(Expression Integer,...) +--E 158 + +--S 159 of 552 +m0731:= a0731-r0731 +--R +--R +--R (156) +--R 3 3 3 2 2 2 +--R - 2a b sinh(x) + (- 4a b cosh(x) - 6a b )sinh(x) +--R + +--R 3 2 2 2 3 3 +--R (- 2a b cosh(x) - 8a b cosh(x) + 2a b - 4a b)sinh(x) +--R + +--R 2 2 2 3 2 2 +--R - 2a b cosh(x) - 4a b cosh(x) + 2a b +--R * +--R log(b sinh(x) + a) +--R + +--R 3 3 3 2 2 2 +--R a b sinh(x) + (2a b cosh(x) + 3a b )sinh(x) +--R + +--R 3 2 2 2 3 3 2 2 2 +--R (a b cosh(x) + 4a b cosh(x) - a b + 2a b)sinh(x) + a b cosh(x) +--R + +--R 3 2 2 +--R 2a b cosh(x) - a b +--R * +--R 2 +--R log(cosh(x) ) +--R + +--R 3 3 3 2 2 2 +--R - 2a b sinh(x) + (- 4a b cosh(x) - 6a b )sinh(x) +--R + +--R 3 2 2 2 3 3 +--R (- 2a b cosh(x) - 8a b cosh(x) + 2a b - 4a b)sinh(x) +--R + +--R 2 2 2 3 2 2 +--R - 2a b cosh(x) - 4a b cosh(x) + 2a b +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 3 3 3 2 2 2 +--R 2a b sinh(x) + (4a b cosh(x) + 6a b )sinh(x) +--R + +--R 3 2 2 2 3 3 2 2 2 +--R (2a b cosh(x) + 8a b cosh(x) - 2a b + 4a b)sinh(x) + 2a b cosh(x) +--R + +--R 3 2 2 +--R 4a b cosh(x) - 2a b +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 4 2 2 3 +--R (- 2b + 2a b )sinh(x) +--R + +--R 4 2 2 3 3 2 +--R ((- 4b + 4a b )cosh(x) - 6a b + 6a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (- 2b + 2a b )cosh(x) + (- 8a b + 8a b)cosh(x) + 2b - 6a b +--R + +--R 4 +--R 4a +--R * +--R sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (- 2a b + 2a b)cosh(x) + (- 4a b + 4a )cosh(x) + 2a b - 2a b +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 4 2 2 3 4 2 2 3 3 2 +--R (b - a b )sinh(x) + ((2b - 2a b )cosh(x) + 3a b - 3a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 4 +--R ((b - a b )cosh(x) + (4a b - 4a b)cosh(x) - b + 3a b - 2a ) +--R * +--R sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (a b - a b)cosh(x) + (2a b - 2a )cosh(x) - a b + a b +--R * +--R atan(sinh(x)) +--R + +--R 4 2 2 2 4 2 2 2 4 2 2 +--R (- b - a b )sinh(x) + (b + a b )cosh(x) - b - a b +--R / +--R 6 2 4 4 2 3 +--R (b + 2a b + a b )sinh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 2 +--R ((2b + 4a b + 2a b )cosh(x) + 3a b + 6a b + 3a b)sinh(x) +--R + +--R 6 2 4 4 2 2 5 3 3 5 6 +--R (b + 2a b + a b )cosh(x) + (4a b + 8a b + 4a b)cosh(x) - b +--R + +--R 4 2 6 +--R 3a b + 2a +--R * +--R sinh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 6 5 +--R (a b + 2a b + a b)cosh(x) + (2a b + 4a b + 2a )cosh(x) - a b +--R + +--R 3 3 5 +--R - 2a b - a b +--R Type: Expression Integer +--E 159 + +--S 160 of 552 +d0731:= D(m0731,x) +--R +--R +--R (157) +--R 2 4 9 2 4 5 3 3 8 +--R 4a b sinh(x) + (18a b cosh(x) - 8a b + 16a b )sinh(x) +--R + +--R 2 4 2 5 3 3 6 2 4 4 2 +--R (28a b cosh(x) + (- 30a b + 62a b )cosh(x) + 8b - 20a b + 28a b ) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 4 3 5 3 3 2 +--R 10a b cosh(x) + (- 36a b + 76a b )cosh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 +--R (23b - 58a b + 91a b )cosh(x) + 16a b - 16a b + 24a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 4 5 3 3 3 +--R - 20a b cosh(x) + (- 2a b + 2a b )cosh(x) +--R + +--R 6 2 4 4 2 2 5 3 3 5 +--R (18b - 32a b + 82a b )cosh(x) + (26a b - 14a b + 68a b)cosh(x) +--R + +--R 6 2 4 4 2 6 +--R 8b + 4a b + 4a b + 8a +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 5 5 3 3 4 +--R - 26a b cosh(x) + (32a b - 72a b )cosh(x) +--R + +--R 6 2 4 4 2 3 +--R (- 7b + 60a b - 31a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 20a b + 64a b + 44a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 3 3 5 +--R (25b - 30a b + 45a b + 20a )cosh(x) + 24a b - 16a b + 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 6 5 3 3 5 +--R - 12a b cosh(x) + (30a b - 62a b )cosh(x) +--R + +--R 6 2 4 4 2 4 +--R (- 20b + 92a b - 96a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 68a b + 124a b - 40a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 +--R (28b - 92a b + 108a b + 8a )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (62a b - 54a b + 56a b)cosh(x) + 28a b - 20a b + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 7 5 3 3 6 +--R - 2a b cosh(x) + (12a b - 20a b )cosh(x) +--R + +--R 6 2 4 4 2 5 +--R (- 15b + 46a b - 59a b )cosh(x) +--R + +--R 5 3 3 5 4 +--R (- 56a b + 80a b - 64a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 +--R (14b - 86a b + 102a b - 16a )cosh(x) +--R + +--R 5 3 3 5 2 +--R (52a b - 68a b + 72a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 3 5 +--R (b + 46a b - 43a b + 20a )cosh(x) + 16a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 3 7 6 2 4 4 2 6 +--R (2a b - 2a b )cosh(x) + (- 6b + 8a b - 14a b )cosh(x) +--R + +--R 5 3 3 5 5 +--R (- 22a b + 18a b - 28a b)cosh(x) +--R + +--R 6 2 4 4 2 6 4 +--R (4b - 32a b + 40a b - 16a )cosh(x) +--R + +--R 5 3 3 5 3 +--R (14a b - 38a b + 40a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 +--R (2b + 24a b - 30a b + 16a )cosh(x) +--R + +--R 5 3 3 5 4 2 +--R (6a b + 22a b - 12a b)cosh(x) + 4a b +--R * +--R sinh(x) +--R + +--R 6 4 2 7 5 5 6 +--R (- b - a b )cosh(x) + (- 4a b - 4a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 3 3 5 4 +--R (b - 4a b + 5a b - 4a )cosh(x) + (- 8a b + 8a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 5 3 3 5 2 +--R (b + 4a b - 7a b + 4a )cosh(x) + (4a b + 8a b - 4a b)cosh(x) +--R + +--R 6 4 2 +--R (- b + 3a b )cosh(x) +--R / +--R 8 2 6 4 4 10 +--R (b + 2a b + a b )sinh(x) +--R + +--R 8 2 6 4 4 7 3 5 5 3 9 +--R ((6b + 12a b + 6a b )cosh(x) + 6a b + 12a b + 6a b )sinh(x) +--R + +--R 8 2 6 4 4 2 7 3 5 5 3 +--R (15b + 30a b + 15a b )cosh(x) + (32a b + 64a b + 32a b )cosh(x) +--R + +--R 2 6 4 4 6 2 +--R 13a b + 26a b + 13a b +--R * +--R 8 +--R sinh(x) +--R + +--R 8 2 6 4 4 3 +--R (20b + 40a b + 20a b )cosh(x) +--R + +--R 7 3 5 5 3 2 +--R (70a b + 140a b + 70a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 7 3 5 5 3 +--R (2b + 66a b + 126a b + 62a b )cosh(x) + 4a b + 20a b + 28a b +--R + +--R 7 +--R 12a b +--R * +--R 7 +--R sinh(x) +--R + +--R 8 2 6 4 4 4 +--R (15b + 30a b + 15a b )cosh(x) +--R + +--R 7 3 5 5 3 3 +--R (80a b + 160a b + 80a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 2 +--R (9b + 137a b + 247a b + 119a b )cosh(x) +--R + +--R 7 3 5 5 3 7 8 2 6 4 4 +--R (24a b + 100a b + 128a b + 52a b)cosh(x) - 2b + 12a b + 34a b +--R + +--R 6 2 8 +--R 24a b + 4a +--R * +--R 6 +--R sinh(x) +--R + +--R 8 2 6 4 4 5 7 3 5 5 3 4 +--R (6b + 12a b + 6a b )cosh(x) + (50a b + 100a b + 50a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 3 +--R (16b + 148a b + 248a b + 116a b )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (58a b + 204a b + 234a b + 88a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 7 3 5 +--R (- 6b + 54a b + 142a b + 98a b + 16a )cosh(x) - 8a b + 4a b +--R + +--R 5 3 7 +--R 32a b + 20a b +--R * +--R 5 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 7 3 5 5 3 5 +--R (b + 2a b + a b )cosh(x) + (16a b + 32a b + 16a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 4 +--R (14b + 87a b + 132a b + 59a b )cosh(x) +--R + +--R 7 3 5 5 3 7 3 +--R (72a b + 216a b + 216a b + 72a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 2 +--R (- 7b + 103a b + 251a b + 165a b + 24a )cosh(x) +--R + +--R 7 3 5 5 3 7 2 6 4 4 6 2 +--R (- 16a b + 36a b + 120a b + 68a b)cosh(x) - 6a b - 4a b + 10a b +--R + +--R 8 +--R 8a +--R * +--R 4 +--R sinh(x) +--R + +--R 7 3 5 5 3 6 +--R (2a b + 4a b + 2a b )cosh(x) +--R + +--R 8 2 6 4 4 6 2 5 +--R (6b + 26a b + 34a b + 14a b )cosh(x) +--R + +--R 7 3 5 5 3 7 4 +--R (48a b + 124a b + 104a b + 28a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 3 +--R (- 4b + 104a b + 236a b + 144a b + 16a )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (- 14a b + 68a b + 178a b + 96a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 7 3 5 +--R (- 2b - 10a b + 10a b + 42a b + 24a )cosh(x) - 4a b - 4a b +--R + +--R 5 3 7 +--R 4a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 2 6 +--R (b + 3a b + 3a b + a b )cosh(x) +--R + +--R 7 3 5 5 3 7 5 +--R (16a b + 36a b + 24a b + 4a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 4 +--R (- b + 56a b + 119a b + 66a b + 4a )cosh(x) +--R + +--R 7 3 5 5 3 7 3 +--R (- 8a b + 56a b + 136a b + 72a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 2 +--R (- b - 5a b + 21a b + 53a b + 28a )cosh(x) +--R + +--R 7 3 5 5 3 7 8 2 6 4 4 8 +--R (- 8a b - 4a b + 16a b + 12a b)cosh(x) + b - 6a b - 11a b + 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 7 3 5 5 3 6 2 6 4 4 6 2 5 +--R (2a b + 4a b + 2a b )cosh(x) + (14a b + 28a b + 14a b )cosh(x) +--R + +--R 7 3 5 5 3 7 4 +--R (- 2a b + 24a b + 54a b + 28a b)cosh(x) +--R + +--R 2 6 4 4 6 2 8 3 +--R (- 4a b + 8a b + 28a b + 16a )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (- 2a b + 4a b + 14a b + 8a b)cosh(x) +--R + +--R 2 6 4 4 6 2 8 7 5 3 7 +--R (- 10a b - 12a b + 6a b + 8a )cosh(x) + 2a b - 6a b - 4a b +--R * +--R sinh(x) +--R + +--R 2 6 4 4 6 2 6 3 5 5 3 7 5 +--R (a b + 2a b + a b )cosh(x) + (4a b + 8a b + 4a b)cosh(x) +--R + +--R 2 6 4 4 6 2 8 4 +--R (- a b + 2a b + 7a b + 4a )cosh(x) +--R + +--R 2 6 4 4 6 2 8 2 3 5 5 3 7 +--R (- a b + 2a b + 7a b + 4a )cosh(x) + (- 4a b - 8a b - 4a b)cosh(x) +--R + +--R 2 6 4 4 6 2 +--R a b + 2a b + a b +--R Type: Expression Integer +--E 160 + +--S 161 of 552 +t0732:= sech(x)^2/(a+b*sinh(x))^2 +--R +--R +--R 2 +--R sech(x) +--R (158) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 161 + +--S 162 of 552 +r0732:= -6*a*b^2*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(5/2)+_ + 2*a*b*sech(x)/(a^2+b^2)^2-b^3*cosh(x)/(a^2+b^2)^2/(a+b*sinh(x))+_ + (a^2-b^2)*tanh(x)/(a^2+b^2)^2 +--R +--R +--R (159) +--R x +--R a tanh(-) - b +--R 3 2 2 2 +--R (6a b sinh(x) + 6a b )atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 2 3 2 +--R ((- b + a b)sinh(x) - a b + a )tanh(x) + 2a b sech(x)sinh(x) +--R + +--R 2 3 +--R 2a b sech(x) - b cosh(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R +-------+ +--R 5 2 3 4 4 3 2 5 | 2 2 +--R ((b + 2a b + a b)sinh(x) + a b + 2a b + a )\|b + a +--R Type: Expression Integer +--E 162 + +--S 163 of 552 +a0732:= integrate(t0732,x) +--R +--R +--R (160) +--R 3 4 3 2 2 3 +--R 3a b sinh(x) + (12a b cosh(x) + 6a b )sinh(x) +--R + +--R 3 2 2 2 2 +--R (18a b cosh(x) + 18a b cosh(x))sinh(x) +--R + +--R 3 3 2 2 2 2 2 3 4 +--R (12a b cosh(x) + 18a b cosh(x) + 6a b )sinh(x) + 3a b cosh(x) +--R + +--R 2 2 3 2 2 3 +--R 6a b cosh(x) + 6a b cosh(x) - 3a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 2 3 2 2 2 +--R 6a b sinh(x) + (18a b cosh(x) + 6a b)sinh(x) +--R + +--R 2 2 2 2 3 2 3 +--R (18a b cosh(x) + 12a b cosh(x) + 2a b - 4a )sinh(x) + 6a b cosh(x) +--R + +--R 2 2 2 3 3 2 +--R 6a b cosh(x) + (2a b - 4a )cosh(x) - 4b + 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 5 2 3 4 4 +--R (b + 2a b + a b)sinh(x) +--R + +--R 5 2 3 4 4 3 2 5 3 +--R ((4b + 8a b + 4a b)cosh(x) + 2a b + 4a b + 2a )sinh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 2 +--R ((6b + 12a b + 6a b)cosh(x) + (6a b + 12a b + 6a )cosh(x))sinh(x) +--R + +--R 5 2 3 4 3 4 3 2 5 2 +--R (4b + 8a b + 4a b)cosh(x) + (6a b + 12a b + 6a )cosh(x) +--R + +--R 4 3 2 5 +--R 2a b + 4a b + 2a +--R * +--R sinh(x) +--R + +--R 5 2 3 4 4 4 3 2 5 3 +--R (b + 2a b + a b)cosh(x) + (2a b + 4a b + 2a )cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (2a b + 4a b + 2a )cosh(x) - b - 2a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 163 + +--S 164 of 552 +m0732:= a0732-r0732 +--R +--R +--R (161) +--R 4 5 4 2 3 4 +--R 3a b sinh(x) + (12a b cosh(x) + 9a b )sinh(x) +--R + +--R 4 2 2 3 3 2 3 +--R (18a b cosh(x) + 30a b cosh(x) + 6a b )sinh(x) +--R + +--R 4 3 2 3 2 3 2 2 3 2 +--R (12a b cosh(x) + 36a b cosh(x) + 18a b cosh(x) + 6a b )sinh(x) +--R + +--R 4 4 2 3 3 3 2 2 2 3 +--R 3a b cosh(x) + 18a b cosh(x) + 18a b cosh(x) + 6a b cosh(x) +--R + +--R 4 3 2 +--R - 3a b + 6a b +--R * +--R sinh(x) +--R + +--R 2 3 4 3 2 3 3 2 2 3 +--R 3a b cosh(x) + 6a b cosh(x) + 6a b cosh(x) - 3a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 4 5 4 2 3 4 +--R - 6a b sinh(x) + (- 24a b cosh(x) - 18a b )sinh(x) +--R + +--R 4 2 2 3 3 2 3 +--R (- 36a b cosh(x) - 60a b cosh(x) - 12a b )sinh(x) +--R + +--R 4 3 2 3 2 3 2 2 3 2 +--R (- 24a b cosh(x) - 72a b cosh(x) - 36a b cosh(x) - 12a b )sinh(x) +--R + +--R 4 4 2 3 3 3 2 2 2 3 +--R - 6a b cosh(x) - 36a b cosh(x) - 36a b cosh(x) - 12a b cosh(x) +--R + +--R 4 3 2 +--R 6a b - 12a b +--R * +--R sinh(x) +--R + +--R 2 3 4 3 2 3 3 2 2 3 +--R - 6a b cosh(x) - 12a b cosh(x) - 12a b cosh(x) + 6a b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 4 2 2 5 +--R (b - a b )sinh(x) +--R + +--R 4 2 2 3 3 4 +--R ((4b - 4a b )cosh(x) + 3a b - 3a b)sinh(x) +--R + +--R 4 2 2 2 3 3 2 2 4 +--R ((6b - 6a b )cosh(x) + (10a b - 10a b)cosh(x) + 2a b - 2a ) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (4b - 4a b )cosh(x) + (12a b - 12a b)cosh(x) +--R + +--R 2 2 4 3 3 +--R (6a b - 6a )cosh(x) + 2a b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (b - a b )cosh(x) + (6a b - 6a b)cosh(x) +--R + +--R 2 2 4 2 3 3 4 2 2 +--R (6a b - 6a )cosh(x) + (2a b - 2a b)cosh(x) - b + 3a b +--R + +--R 4 +--R - 2a +--R * +--R sinh(x) +--R + +--R 3 3 4 2 2 4 3 +--R (a b - a b)cosh(x) + (2a b - 2a )cosh(x) +--R + +--R 2 2 4 3 3 +--R (2a b - 2a )cosh(x) - a b + a b +--R * +--R tanh(x) +--R + +--R 3 5 +--R - 2a b sech(x)sinh(x) +--R + +--R 3 2 2 4 3 4 +--R ((- 8a b cosh(x) - 6a b )sech(x) + b cosh(x) + 6a b )sinh(x) +--R + +--R 3 2 2 2 3 4 2 +--R (- 12a b cosh(x) - 20a b cosh(x) - 4a b)sech(x) + 4b cosh(x) +--R + +--R 3 2 2 +--R 20a b cosh(x) + 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 3 3 2 2 2 3 2 2 +--R (- 8a b cosh(x) - 24a b cosh(x) - 12a b cosh(x) - 4a b )sech(x) +--R + +--R 4 3 3 2 2 2 3 3 +--R 6b cosh(x) + 24a b cosh(x) + 30a b cosh(x) + 2a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 2 2 3 3 2 +--R - 2a b cosh(x) - 12a b cosh(x) - 12a b cosh(x) +--R + +--R 2 2 3 3 +--R - 4a b cosh(x) + 2a b - 4a b +--R * +--R sech(x) +--R + +--R 4 4 3 3 2 2 2 +--R 4b cosh(x) + 12a b cosh(x) + 24a b cosh(x) +--R + +--R 3 3 4 2 2 4 +--R (4a b + 8a b)cosh(x) - 4b + 4a b - 4a +--R * +--R sinh(x) +--R + +--R 2 2 4 3 3 3 2 2 +--R (- 2a b cosh(x) - 4a b cosh(x) - 4a b cosh(x) + 2a b )sech(x) +--R + +--R 4 5 3 4 2 2 3 3 3 2 +--R b cosh(x) + 2a b cosh(x) + 6a b cosh(x) + (2a b + 6a b)cosh(x) +--R + +--R 4 2 2 4 3 3 +--R (- b + 2a b - 4a )cosh(x) - 4a b + 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 6 2 4 4 2 5 +--R (b + 2a b + a b )sinh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 4 +--R ((4b + 8a b + 4a b )cosh(x) + 3a b + 6a b + 3a b)sinh(x) +--R + +--R 6 2 4 4 2 2 5 3 3 5 +--R (6b + 12a b + 6a b )cosh(x) + (10a b + 20a b + 10a b)cosh(x) +--R + +--R 2 4 4 2 6 +--R 2a b + 4a b + 2a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 4 2 3 5 3 3 5 2 +--R (4b + 8a b + 4a b )cosh(x) + (12a b + 24a b + 12a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (6a b + 12a b + 6a )cosh(x) + 2a b + 4a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 4 2 4 5 3 3 5 3 +--R (b + 2a b + a b )cosh(x) + (6a b + 12a b + 6a b)cosh(x) +--R + +--R 2 4 4 2 6 2 5 3 3 5 6 +--R (6a b + 12a b + 6a )cosh(x) + (2a b + 4a b + 2a b)cosh(x) - b +--R + +--R 4 2 6 +--R 3a b + 2a +--R * +--R sinh(x) +--R + +--R 5 3 3 5 4 2 4 4 2 6 3 +--R (a b + 2a b + a b)cosh(x) + (2a b + 4a b + 2a )cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (2a b + 4a b + 2a )cosh(x) - a b - 2a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 164 + +--S 165 of 552 +--d0732:= D(m0732,x) +--E 165 + +--S 166 of 552 +t0733:= sech(x)^3/(a+b*sinh(x))^2 +--R +--R +--R 3 +--R sech(x) +--R (162) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 166 + +--S 167 of 552 +r0733:= b^2*(3*a^2-b^2)*atan(sinh(x))/(a^2+b^2)^3+_ + 1/2*(a^2-b^2)*atan(sinh(x))/(a^2+b^2)^2-_ + 2*a*b^3*log(cosh(x)^2)/(a^2+b^2)^3+_ + 4*a*b^3*log(a+b*sinh(x))/(a^2+b^2)^3+_ + a*b*sech(x)^2/(a^2+b^2)^2-b^3/(a^2+b^2)^2/(a+b*sinh(x))+_ + 1/2*(a^2-b^2)*sech(x)*tanh(x)/(a^2+b^2)^2 +--R +--R +--R (163) +--R 4 2 3 +--R (8a b sinh(x) + 8a b )log(b sinh(x) + a) +--R + +--R 4 2 3 2 +--R (- 4a b sinh(x) - 4a b )log(cosh(x) ) +--R + +--R 5 2 3 4 4 3 2 5 +--R ((- 3b + 6a b + a b)sinh(x) - 3a b + 6a b + a )atan(sinh(x)) +--R + +--R 5 4 4 5 +--R ((- b + a b)sech(x)sinh(x) + (- a b + a )sech(x))tanh(x) +--R + +--R 4 3 2 2 2 3 4 2 5 2 3 +--R (2a b + 2a b )sech(x) sinh(x) + (2a b + 2a b)sech(x) - 2b - 2a b +--R / +--R 7 2 5 4 3 6 6 3 4 5 2 7 +--R (2b + 6a b + 6a b + 2a b)sinh(x) + 2a b + 6a b + 6a b + 2a +--R Type: Expression Integer +--E 167 + +--S 168 of 552 +a0733:= integrate(t0733,x) +--R +--R +--R (164) +--R 4 6 4 2 3 5 +--R - 4a b sinh(x) + (- 24a b cosh(x) - 8a b )sinh(x) +--R + +--R 4 2 2 3 4 4 +--R (- 60a b cosh(x) - 40a b cosh(x) - 4a b )sinh(x) +--R + +--R 4 3 2 3 2 4 2 3 3 +--R (- 80a b cosh(x) - 80a b cosh(x) - 16a b cosh(x) - 16a b )sinh(x) +--R + +--R 4 4 2 3 3 4 2 +--R - 60a b cosh(x) - 80a b cosh(x) - 24a b cosh(x) +--R + +--R 2 3 4 +--R - 48a b cosh(x) + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 2 3 4 4 3 +--R - 24a b cosh(x) - 40a b cosh(x) - 16a b cosh(x) +--R + +--R 2 3 2 4 2 3 +--R - 48a b cosh(x) + 8a b cosh(x) - 8a b +--R * +--R sinh(x) +--R + +--R 4 6 2 3 5 4 4 2 3 3 +--R - 4a b cosh(x) - 8a b cosh(x) - 4a b cosh(x) - 16a b cosh(x) +--R + +--R 4 2 2 3 4 +--R 4a b cosh(x) - 8a b cosh(x) + 4a b +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 4 6 4 2 3 5 +--R 4a b sinh(x) + (24a b cosh(x) + 8a b )sinh(x) +--R + +--R 4 2 2 3 4 4 +--R (60a b cosh(x) + 40a b cosh(x) + 4a b )sinh(x) +--R + +--R 4 3 2 3 2 4 2 3 3 +--R (80a b cosh(x) + 80a b cosh(x) + 16a b cosh(x) + 16a b )sinh(x) +--R + +--R 4 4 2 3 3 4 2 2 3 +--R 60a b cosh(x) + 80a b cosh(x) + 24a b cosh(x) + 48a b cosh(x) +--R + +--R 4 +--R - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 5 2 3 4 4 3 2 3 2 +--R 24a b cosh(x) + 40a b cosh(x) + 16a b cosh(x) + 48a b cosh(x) +--R + +--R 4 2 3 +--R - 8a b cosh(x) + 8a b +--R * +--R sinh(x) +--R + +--R 4 6 2 3 5 4 4 2 3 3 +--R 4a b cosh(x) + 8a b cosh(x) + 4a b cosh(x) + 16a b cosh(x) +--R + +--R 4 2 2 3 4 +--R - 4a b cosh(x) + 8a b cosh(x) - 4a b +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 5 2 3 4 6 +--R (- 3b + 6a b + a b)sinh(x) +--R + +--R 5 2 3 4 4 3 2 5 5 +--R ((- 18b + 36a b + 6a b)cosh(x) - 6a b + 12a b + 2a )sinh(x) +--R + +--R 5 2 3 4 2 +--R (- 45b + 90a b + 15a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 30a b + 60a b + 10a )cosh(x) - 3b + 6a b + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 3 4 3 +--R (- 60b + 120a b + 20a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (- 60a b + 120a b + 20a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 12b + 24a b + 4a b)cosh(x) - 12a b + 24a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 3 4 4 +--R (- 45b + 90a b + 15a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (- 60a b + 120a b + 20a )cosh(x) +--R + +--R 5 2 3 4 2 +--R (- 18b + 36a b + 6a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 36a b + 72a b + 12a )cosh(x) + 3b - 6a b - a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 4 5 +--R (- 18b + 36a b + 6a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (- 30a b + 60a b + 10a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (- 12b + 24a b + 4a b)cosh(x) +--R + +--R 4 3 2 5 2 5 2 3 4 +--R (- 36a b + 72a b + 12a )cosh(x) + (6b - 12a b - 2a b)cosh(x) +--R + +--R 4 3 2 5 +--R - 6a b + 12a b + 2a +--R * +--R sinh(x) +--R + +--R 5 2 3 4 6 4 3 2 5 5 +--R (- 3b + 6a b + a b)cosh(x) + (- 6a b + 12a b + 2a )cosh(x) +--R + +--R 5 2 3 4 4 4 3 2 5 3 +--R (- 3b + 6a b + a b)cosh(x) + (- 12a b + 24a b + 4a )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 5 +--R (3b - 6a b - a b)cosh(x) + (- 6a b + 12a b + 2a )cosh(x) + 3b +--R + +--R 2 3 4 +--R - 6a b - a b +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 5 2 3 4 5 +--R (- 3b - 2a b + a b)sinh(x) +--R + +--R 5 2 3 4 4 3 2 5 4 +--R ((- 15b - 10a b + 5a b)cosh(x) + 2a b + 4a b + 2a )sinh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 +--R (- 30b - 20a b + 10a b)cosh(x) + (8a b + 16a b + 8a )cosh(x) +--R + +--R 5 2 3 4 +--R - 2b + 4a b + 6a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 3 4 3 4 3 2 5 2 +--R (- 30b - 20a b + 10a b)cosh(x) + (12a b + 24a b + 12a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 6b + 12a b + 18a b)cosh(x) - 2a b - 4a b - 2a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 4 4 4 3 2 5 3 +--R (- 15b - 10a b + 5a b)cosh(x) + (8a b + 16a b + 8a )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 +--R (- 6b + 12a b + 18a b)cosh(x) + (- 4a b - 8a b - 4a )cosh(x) +--R + +--R 5 2 3 4 +--R - 3b - 2a b + a b +--R * +--R sinh(x) +--R + +--R 5 2 3 4 5 4 3 2 5 4 +--R (- 3b - 2a b + a b)cosh(x) + (2a b + 4a b + 2a )cosh(x) +--R + +--R 5 2 3 4 3 4 3 2 5 2 +--R (- 2b + 4a b + 6a b)cosh(x) + (- 2a b - 4a b - 2a )cosh(x) +--R + +--R 5 2 3 4 +--R (- 3b - 2a b + a b)cosh(x) +--R / +--R 7 2 5 4 3 6 6 +--R (b + 3a b + 3a b + a b)sinh(x) +--R + +--R 7 2 5 4 3 6 6 3 4 5 2 7 +--R ((6b + 18a b + 18a b + 6a b)cosh(x) + 2a b + 6a b + 6a b + 2a ) +--R * +--R 5 +--R sinh(x) +--R + +--R 7 2 5 4 3 6 2 +--R (15b + 45a b + 45a b + 15a b)cosh(x) +--R + +--R 6 3 4 5 2 7 7 2 5 4 3 6 +--R (10a b + 30a b + 30a b + 10a )cosh(x) + b + 3a b + 3a b + a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 2 5 4 3 6 3 +--R (20b + 60a b + 60a b + 20a b)cosh(x) +--R + +--R 6 3 4 5 2 7 2 +--R (20a b + 60a b + 60a b + 20a )cosh(x) +--R + +--R 7 2 5 4 3 6 6 3 4 5 2 7 +--R (4b + 12a b + 12a b + 4a b)cosh(x) + 4a b + 12a b + 12a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 7 2 5 4 3 6 4 +--R (15b + 45a b + 45a b + 15a b)cosh(x) +--R + +--R 6 3 4 5 2 7 3 +--R (20a b + 60a b + 60a b + 20a )cosh(x) +--R + +--R 7 2 5 4 3 6 2 +--R (6b + 18a b + 18a b + 6a b)cosh(x) +--R + +--R 6 3 4 5 2 7 7 2 5 4 3 6 +--R (12a b + 36a b + 36a b + 12a )cosh(x) - b - 3a b - 3a b - a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 5 4 3 6 5 +--R (6b + 18a b + 18a b + 6a b)cosh(x) +--R + +--R 6 3 4 5 2 7 4 +--R (10a b + 30a b + 30a b + 10a )cosh(x) +--R + +--R 7 2 5 4 3 6 3 +--R (4b + 12a b + 12a b + 4a b)cosh(x) +--R + +--R 6 3 4 5 2 7 2 +--R (12a b + 36a b + 36a b + 12a )cosh(x) +--R + +--R 7 2 5 4 3 6 6 3 4 5 2 7 +--R (- 2b - 6a b - 6a b - 2a b)cosh(x) + 2a b + 6a b + 6a b + 2a +--R * +--R sinh(x) +--R + +--R 7 2 5 4 3 6 6 +--R (b + 3a b + 3a b + a b)cosh(x) +--R + +--R 6 3 4 5 2 7 5 +--R (2a b + 6a b + 6a b + 2a )cosh(x) +--R + +--R 7 2 5 4 3 6 4 +--R (b + 3a b + 3a b + a b)cosh(x) +--R + +--R 6 3 4 5 2 7 3 +--R (4a b + 12a b + 12a b + 4a )cosh(x) +--R + +--R 7 2 5 4 3 6 2 +--R (- b - 3a b - 3a b - a b)cosh(x) +--R + +--R 6 3 4 5 2 7 7 2 5 4 3 6 +--R (2a b + 6a b + 6a b + 2a )cosh(x) - b - 3a b - 3a b - a b +--R Type: Union(Expression Integer,...) +--E 168 + +--S 169 of 552 +m0733:= a0733-r0733 +--R +--R +--R (165) +--R 5 7 5 2 4 6 +--R - 8a b sinh(x) + (- 48a b cosh(x) - 24a b )sinh(x) +--R + +--R 5 2 2 4 5 3 3 5 +--R (- 120a b cosh(x) - 128a b cosh(x) - 8a b - 16a b )sinh(x) +--R + +--R 5 3 2 4 2 5 3 3 +--R - 160a b cosh(x) - 280a b cosh(x) + (- 32a b - 80a b )cosh(x) +--R + +--R 2 4 +--R - 40a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 4 3 +--R - 120a b cosh(x) - 320a b cosh(x) +--R + +--R 5 3 3 2 2 4 5 3 3 +--R (- 48a b - 160a b )cosh(x) - 128a b cosh(x) + 8a b - 32a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 5 2 4 4 5 3 3 3 +--R - 48a b cosh(x) - 200a b cosh(x) + (- 32a b - 160a b )cosh(x) +--R + +--R 2 4 2 5 3 3 2 4 +--R - 144a b cosh(x) + (16a b - 96a b )cosh(x) - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 6 2 4 5 5 3 3 4 +--R - 8a b cosh(x) - 64a b cosh(x) + (- 8a b - 80a b )cosh(x) +--R + +--R 2 4 3 5 3 3 2 5 3 3 +--R - 64a b cosh(x) + (8a b - 96a b )cosh(x) + 8a b - 16a b +--R * +--R sinh(x) +--R + +--R 2 4 6 3 3 5 2 4 4 3 3 3 +--R - 8a b cosh(x) - 16a b cosh(x) - 8a b cosh(x) - 32a b cosh(x) +--R + +--R 2 4 2 3 3 2 4 +--R 8a b cosh(x) - 16a b cosh(x) + 8a b +--R * +--R log(b sinh(x) + a) +--R + +--R 5 7 5 2 4 6 +--R 4a b sinh(x) + (24a b cosh(x) + 12a b )sinh(x) +--R + +--R 5 2 2 4 5 3 3 5 +--R (60a b cosh(x) + 64a b cosh(x) + 4a b + 8a b )sinh(x) +--R + +--R 5 3 2 4 2 5 3 3 +--R 80a b cosh(x) + 140a b cosh(x) + (16a b + 40a b )cosh(x) +--R + +--R 2 4 +--R 20a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 4 3 5 3 3 2 +--R 60a b cosh(x) + 160a b cosh(x) + (24a b + 80a b )cosh(x) +--R + +--R 2 4 5 3 3 +--R 64a b cosh(x) - 4a b + 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 5 2 4 4 5 3 3 3 +--R 24a b cosh(x) + 100a b cosh(x) + (16a b + 80a b )cosh(x) +--R + +--R 2 4 2 5 3 3 2 4 +--R 72a b cosh(x) + (- 8a b + 48a b )cosh(x) + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 6 2 4 5 5 3 3 4 +--R 4a b cosh(x) + 32a b cosh(x) + (4a b + 40a b )cosh(x) +--R + +--R 2 4 3 5 3 3 2 5 3 3 +--R 32a b cosh(x) + (- 4a b + 48a b )cosh(x) - 4a b + 8a b +--R * +--R sinh(x) +--R + +--R 2 4 6 3 3 5 2 4 4 3 3 3 +--R 4a b cosh(x) + 8a b cosh(x) + 4a b cosh(x) + 16a b cosh(x) +--R + +--R 2 4 2 3 3 2 4 +--R - 4a b cosh(x) + 8a b cosh(x) - 4a b +--R * +--R 2 +--R log(cosh(x) ) +--R + +--R 5 7 5 2 4 6 +--R - 8a b sinh(x) + (- 48a b cosh(x) - 24a b )sinh(x) +--R + +--R 5 2 2 4 5 3 3 5 +--R (- 120a b cosh(x) - 128a b cosh(x) - 8a b - 16a b )sinh(x) +--R + +--R 5 3 2 4 2 5 3 3 +--R - 160a b cosh(x) - 280a b cosh(x) + (- 32a b - 80a b )cosh(x) +--R + +--R 2 4 +--R - 40a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 4 3 +--R - 120a b cosh(x) - 320a b cosh(x) +--R + +--R 5 3 3 2 2 4 5 3 3 +--R (- 48a b - 160a b )cosh(x) - 128a b cosh(x) + 8a b - 32a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 5 2 4 4 5 3 3 3 +--R - 48a b cosh(x) - 200a b cosh(x) + (- 32a b - 160a b )cosh(x) +--R + +--R 2 4 2 5 3 3 2 4 +--R - 144a b cosh(x) + (16a b - 96a b )cosh(x) - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 6 2 4 5 5 3 3 4 +--R - 8a b cosh(x) - 64a b cosh(x) + (- 8a b - 80a b )cosh(x) +--R + +--R 2 4 3 5 3 3 2 5 3 3 +--R - 64a b cosh(x) + (8a b - 96a b )cosh(x) + 8a b - 16a b +--R * +--R sinh(x) +--R + +--R 2 4 6 3 3 5 2 4 4 3 3 3 +--R - 8a b cosh(x) - 16a b cosh(x) - 8a b cosh(x) - 32a b cosh(x) +--R + +--R 2 4 2 3 3 2 4 +--R 8a b cosh(x) - 16a b cosh(x) + 8a b +--R * +--R 2cosh(x) +--R log(- -----------------) +--R sinh(x) - cosh(x) +--R + +--R 5 7 5 2 4 6 +--R 8a b sinh(x) + (48a b cosh(x) + 24a b )sinh(x) +--R + +--R 5 2 2 4 5 3 3 5 +--R (120a b cosh(x) + 128a b cosh(x) + 8a b + 16a b )sinh(x) +--R + +--R 5 3 2 4 2 5 3 3 +--R 160a b cosh(x) + 280a b cosh(x) + (32a b + 80a b )cosh(x) +--R + +--R 2 4 +--R 40a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 2 4 3 5 3 3 2 +--R 120a b cosh(x) + 320a b cosh(x) + (48a b + 160a b )cosh(x) +--R + +--R 2 4 5 3 3 +--R 128a b cosh(x) - 8a b + 32a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 5 2 4 4 5 3 3 3 +--R 48a b cosh(x) + 200a b cosh(x) + (32a b + 160a b )cosh(x) +--R + +--R 2 4 2 5 3 3 2 4 +--R 144a b cosh(x) + (- 16a b + 96a b )cosh(x) + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 6 2 4 5 5 3 3 4 +--R 8a b cosh(x) + 64a b cosh(x) + (8a b + 80a b )cosh(x) +--R + +--R 2 4 3 5 3 3 2 5 3 3 +--R 64a b cosh(x) + (- 8a b + 96a b )cosh(x) - 8a b + 16a b +--R * +--R sinh(x) +--R + +--R 2 4 6 3 3 5 2 4 4 3 3 3 +--R 8a b cosh(x) + 16a b cosh(x) + 8a b cosh(x) + 32a b cosh(x) +--R + +--R 2 4 2 3 3 2 4 +--R - 8a b cosh(x) + 16a b cosh(x) - 8a b +--R * +--R - 2b sinh(x) - 2a +--R log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 6 2 4 4 2 7 +--R (- 6b + 12a b + 2a b )sinh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 6 +--R ((- 36b + 72a b + 12a b )cosh(x) - 18a b + 36a b + 6a b)sinh(x) +--R + +--R 6 2 4 4 2 2 +--R (- 90b + 180a b + 30a b )cosh(x) +--R + +--R 5 3 3 5 6 4 2 6 +--R (- 96a b + 192a b + 32a b)cosh(x) - 6b + 26a b + 4a +--R * +--R 5 +--R sinh(x) +--R + +--R 6 2 4 4 2 3 +--R (- 120b + 240a b + 40a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 210a b + 420a b + 70a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 3 3 5 +--R (- 24b - 12a b + 128a b + 20a )cosh(x) - 30a b + 60a b + 10a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 2 4 4 2 4 +--R (- 90b + 180a b + 30a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 240a b + 480a b + 80a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 +--R (- 36b - 48a b + 252a b + 40a )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 +--R (- 96a b + 192a b + 32a b)cosh(x) + 6b - 36a b + 46a b + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 4 2 5 +--R (- 36b + 72a b + 12a b )cosh(x) +--R + +--R 5 3 3 5 4 +--R (- 150a b + 300a b + 50a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 +--R (- 24b - 72a b + 248a b + 40a )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 108a b + 216a b + 36a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 3 3 5 +--R (12b - 96a b + 140a b + 24a )cosh(x) - 6a b + 12a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 4 2 6 +--R (- 6b + 12a b + 2a b )cosh(x) +--R + +--R 5 3 3 5 5 +--R (- 48a b + 96a b + 16a b)cosh(x) +--R + +--R 6 2 4 4 2 6 4 +--R (- 6b - 48a b + 122a b + 20a )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 48a b + 96a b + 16a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 6 2 4 4 2 +--R (6b - 84a b + 142a b + 24a )cosh(x) + 6b - 24a b + 22a b +--R + +--R 6 +--R 4a +--R * +--R sinh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 5 +--R (- 6a b + 12a b + 2a b)cosh(x) + (- 12a b + 24a b + 4a )cosh(x) +--R + +--R 5 3 3 5 4 2 4 4 2 6 3 +--R (- 6a b + 12a b + 2a b)cosh(x) + (- 24a b + 48a b + 8a )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 6 +--R (6a b - 12a b - 2a b)cosh(x) + (- 12a b + 24a b + 4a )cosh(x) +--R + +--R 5 3 3 5 +--R 6a b - 12a b - 2a b +--R * +--R atan(sinh(x) + cosh(x)) +--R + +--R 6 2 4 4 2 7 +--R (3b - 6a b - a b )sinh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 6 +--R ((18b - 36a b - 6a b )cosh(x) + 9a b - 18a b - 3a b)sinh(x) +--R + +--R 6 2 4 4 2 2 +--R (45b - 90a b - 15a b )cosh(x) +--R + +--R 5 3 3 5 6 4 2 6 +--R (48a b - 96a b - 16a b)cosh(x) + 3b - 13a b - 2a +--R * +--R 5 +--R sinh(x) +--R + +--R 6 2 4 4 2 3 +--R (60b - 120a b - 20a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (105a b - 210a b - 35a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 3 3 5 +--R (12b + 6a b - 64a b - 10a )cosh(x) + 15a b - 30a b - 5a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 2 4 4 2 4 +--R (45b - 90a b - 15a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (120a b - 240a b - 40a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 +--R (18b + 24a b - 126a b - 20a )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 +--R (48a b - 96a b - 16a b)cosh(x) - 3b + 18a b - 23a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 4 2 5 +--R (18b - 36a b - 6a b )cosh(x) +--R + +--R 5 3 3 5 4 +--R (75a b - 150a b - 25a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 +--R (12b + 36a b - 124a b - 20a )cosh(x) +--R + +--R 5 3 3 5 2 +--R (54a b - 108a b - 18a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 3 3 5 +--R (- 6b + 48a b - 70a b - 12a )cosh(x) + 3a b - 6a b - a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 4 2 6 5 3 3 5 5 +--R (3b - 6a b - a b )cosh(x) + (24a b - 48a b - 8a b)cosh(x) +--R + +--R 6 2 4 4 2 6 4 +--R (3b + 24a b - 61a b - 10a )cosh(x) +--R + +--R 5 3 3 5 3 +--R (24a b - 48a b - 8a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 6 2 4 4 2 +--R (- 3b + 42a b - 71a b - 12a )cosh(x) - 3b + 12a b - 11a b +--R + +--R 6 +--R - 2a +--R * +--R sinh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 5 +--R (3a b - 6a b - a b)cosh(x) + (6a b - 12a b - 2a )cosh(x) +--R + +--R 5 3 3 5 4 2 4 4 2 6 3 +--R (3a b - 6a b - a b)cosh(x) + (12a b - 24a b - 4a )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 6 +--R (- 3a b + 6a b + a b)cosh(x) + (6a b - 12a b - 2a )cosh(x) +--R + +--R 5 3 3 5 +--R - 3a b + 6a b + a b +--R * +--R atan(sinh(x)) +--R + +--R 6 4 2 7 +--R (b - a b )sech(x)sinh(x) +--R + +--R 6 4 2 5 5 6 +--R ((6b - 6a b )cosh(x) + 3a b - 3a b)sech(x)sinh(x) +--R + +--R 6 4 2 2 5 5 6 2 4 +--R (15b - 15a b )cosh(x) + (16a b - 16a b)cosh(x) + b + 2a b +--R + +--R 4 2 6 +--R - a b - 2a +--R * +--R 5 +--R sech(x)sinh(x) +--R + +--R 6 4 2 3 5 5 2 +--R (20b - 20a b )cosh(x) + (35a b - 35a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 5 +--R (4b + 10a b - 4a b - 10a )cosh(x) + 5a b - 5a b +--R * +--R 4 +--R sech(x)sinh(x) +--R + +--R 6 4 2 4 5 5 3 +--R (15b - 15a b )cosh(x) + (40a b - 40a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 5 5 +--R (6b + 20a b - 6a b - 20a )cosh(x) + (16a b - 16a b)cosh(x) +--R + +--R 6 2 4 4 2 6 +--R - b + 4a b + a b - 4a +--R * +--R 3 +--R sech(x)sinh(x) +--R + +--R 6 4 2 5 5 5 4 +--R (6b - 6a b )cosh(x) + (25a b - 25a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 5 5 2 +--R (4b + 20a b - 4a b - 20a )cosh(x) + (18a b - 18a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 5 +--R (- 2b + 12a b + 2a b - 12a )cosh(x) + a b - a b +--R * +--R 2 +--R sech(x)sinh(x) +--R + +--R 6 4 2 6 5 5 5 +--R (b - a b )cosh(x) + (8a b - 8a b)cosh(x) +--R + +--R 6 2 4 4 2 6 4 5 5 3 +--R (b + 10a b - a b - 10a )cosh(x) + (8a b - 8a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 6 2 4 4 2 6 +--R (- b + 12a b + a b - 12a )cosh(x) - b + 2a b + a b - 2a +--R * +--R sech(x)sinh(x) +--R + +--R 5 5 6 2 4 6 5 +--R (a b - a b)cosh(x) + (2a b - 2a )cosh(x) +--R + +--R 5 5 4 2 4 6 3 +--R (a b - a b)cosh(x) + (4a b - 4a )cosh(x) +--R + +--R 5 5 2 2 4 6 5 5 +--R (- a b + a b)cosh(x) + (2a b - 2a )cosh(x) - a b + a b +--R * +--R sech(x) +--R * +--R tanh(x) +--R + +--R 5 3 3 2 7 +--R (- 2a b - 2a b )sech(x) sinh(x) +--R + +--R 5 3 3 2 4 4 2 2 6 2 4 +--R ((- 12a b - 12a b )cosh(x) - 6a b - 6a b )sech(x) - 4b - 2a b +--R + +--R 4 2 +--R 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 5 3 3 2 2 4 4 2 5 +--R (- 30a b - 30a b )cosh(x) + (- 32a b - 32a b )cosh(x) - 2a b +--R + +--R 3 3 5 +--R - 6a b - 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 2 4 4 2 5 3 3 5 +--R (- 18b - 8a b + 10a b )cosh(x) + 2a b + 8a b + 6a b +--R * +--R 5 +--R sinh(x) +--R + +--R 5 3 3 3 2 4 4 2 2 +--R (- 40a b - 40a b )cosh(x) + (- 70a b - 70a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (- 8a b - 28a b - 20a b)cosh(x) - 10a b - 10a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 2 4 4 2 2 5 3 3 5 +--R (- 30b - 10a b + 20a b )cosh(x) + (6a b + 32a b + 26a b)cosh(x) +--R + +--R 6 2 4 4 2 6 +--R - 2b + 14a b + 20a b + 4a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 3 3 4 2 4 4 2 3 +--R (- 30a b - 30a b )cosh(x) + (- 80a b - 80a b )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 +--R (- 12a b - 52a b - 40a b)cosh(x) + (- 32a b - 32a b )cosh(x) +--R + +--R 5 3 3 5 +--R 2a b - 6a b - 8a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 4 2 3 5 3 3 5 2 +--R (- 20b + 20a b )cosh(x) + (4a b + 48a b + 44a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 3 5 +--R (- 4b + 48a b + 68a b + 16a )cosh(x) + 8a b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 3 3 5 2 4 4 2 4 +--R (- 12a b - 12a b )cosh(x) + (- 50a b - 50a b )cosh(x) +--R + +--R 5 3 3 5 3 2 4 4 2 2 +--R (- 8a b - 48a b - 40a b)cosh(x) + (- 36a b - 36a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (4a b - 20a b - 24a b)cosh(x) - 2a b - 2a b +--R * +--R 2 +--R sech(x) +--R + +--R 2 4 4 2 4 5 3 3 5 3 +--R (10a b + 10a b )cosh(x) + (- 4a b + 32a b + 36a b)cosh(x) +--R + +--R 2 4 4 2 6 2 5 3 3 5 +--R (60a b + 84a b + 24a )cosh(x) + (4a b + 32a b + 28a b)cosh(x) +--R + +--R 6 2 4 4 2 6 +--R - 8b - 10a b - 6a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 3 6 2 4 4 2 5 +--R (- 2a b - 2a b )cosh(x) + (- 16a b - 16a b )cosh(x) +--R + +--R 5 3 3 5 4 2 4 4 2 3 +--R (- 2a b - 22a b - 20a b)cosh(x) + (- 16a b - 16a b )cosh(x) +--R + +--R 5 3 3 5 2 5 3 3 5 +--R (2a b - 22a b - 24a b)cosh(x) + 2a b - 2a b - 4a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 2 4 4 2 5 5 3 3 5 4 +--R (6b + 8a b + 2a b )cosh(x) + (- 6a b + 8a b + 14a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 +--R (4b + 32a b + 44a b + 16a )cosh(x) +--R + +--R 5 3 3 5 2 +--R (8a b + 40a b + 32a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 5 +--R (- 10b - 16a b - 14a b - 8a )cosh(x) - 2a b + 2a b +--R * +--R sinh(x) +--R + +--R 2 4 4 2 6 3 3 5 5 +--R (- 2a b - 2a b )cosh(x) + (- 4a b - 4a b)cosh(x) +--R + +--R 2 4 4 2 4 3 3 5 3 +--R (- 2a b - 2a b )cosh(x) + (- 8a b - 8a b)cosh(x) +--R + +--R 2 4 4 2 2 3 3 5 2 4 4 2 +--R (2a b + 2a b )cosh(x) + (- 4a b - 4a b)cosh(x) + 2a b + 2a b +--R * +--R 2 +--R sech(x) +--R + +--R 6 2 4 6 5 5 5 +--R (2b + 2a b )cosh(x) + (- 2a b + 2a b)cosh(x) +--R + +--R 6 2 4 4 2 6 4 5 3 3 5 3 +--R (2b + 6a b + 8a b + 4a )cosh(x) + (4a b + 16a b + 12a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 5 5 6 +--R (- 2b - 6a b - 8a b - 4a )cosh(x) + (- 2a b + 2a b)cosh(x) - 2b +--R + +--R 2 4 +--R - 2a b +--R / +--R 8 2 6 4 4 6 2 7 +--R (2b + 6a b + 6a b + 2a b )sinh(x) +--R + +--R 8 2 6 4 4 6 2 7 3 5 5 3 +--R (12b + 36a b + 36a b + 12a b )cosh(x) + 6a b + 18a b + 18a b +--R + +--R 7 +--R 6a b +--R * +--R 6 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 2 2 +--R (30b + 90a b + 90a b + 30a b )cosh(x) +--R + +--R 7 3 5 5 3 7 8 2 6 4 4 +--R (32a b + 96a b + 96a b + 32a b)cosh(x) + 2b + 10a b + 18a b +--R + +--R 6 2 8 +--R 14a b + 4a +--R * +--R 5 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 2 3 +--R (40b + 120a b + 120a b + 40a b )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (70a b + 210a b + 210a b + 70a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 7 3 5 +--R (8b + 44a b + 84a b + 68a b + 20a )cosh(x) + 10a b + 30a b +--R + +--R 5 3 7 +--R 30a b + 10a b +--R * +--R 4 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 2 4 +--R (30b + 90a b + 90a b + 30a b )cosh(x) +--R + +--R 7 3 5 5 3 7 3 +--R (80a b + 240a b + 240a b + 80a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 2 +--R (12b + 76a b + 156a b + 132a b + 40a )cosh(x) +--R + +--R 7 3 5 5 3 7 8 2 6 4 4 +--R (32a b + 96a b + 96a b + 32a b)cosh(x) - 2b + 2a b + 18a b +--R + +--R 6 2 8 +--R 22a b + 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 2 5 +--R (12b + 36a b + 36a b + 12a b )cosh(x) +--R + +--R 7 3 5 5 3 7 4 +--R (50a b + 150a b + 150a b + 50a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 3 +--R (8b + 64a b + 144a b + 128a b + 40a )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (36a b + 108a b + 108a b + 36a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 7 3 5 +--R (- 4b + 12a b + 60a b + 68a b + 24a )cosh(x) + 2a b + 6a b +--R + +--R 5 3 7 +--R 6a b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 8 2 6 4 4 6 2 6 +--R (2b + 6a b + 6a b + 2a b )cosh(x) +--R + +--R 7 3 5 5 3 7 5 +--R (16a b + 48a b + 48a b + 16a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 4 +--R (2b + 26a b + 66a b + 62a b + 20a )cosh(x) +--R + +--R 7 3 5 5 3 7 3 +--R (16a b + 48a b + 48a b + 16a b)cosh(x) +--R + +--R 8 2 6 4 4 6 2 8 2 8 2 6 +--R (- 2b + 18a b + 66a b + 70a b + 24a )cosh(x) - 2b - 2a b +--R + +--R 4 4 6 2 8 +--R 6a b + 10a b + 4a +--R * +--R sinh(x) +--R + +--R 7 3 5 5 3 7 6 +--R (2a b + 6a b + 6a b + 2a b)cosh(x) +--R + +--R 2 6 4 4 6 2 8 5 +--R (4a b + 12a b + 12a b + 4a )cosh(x) +--R + +--R 7 3 5 5 3 7 4 +--R (2a b + 6a b + 6a b + 2a b)cosh(x) +--R + +--R 2 6 4 4 6 2 8 3 +--R (8a b + 24a b + 24a b + 8a )cosh(x) +--R + +--R 7 3 5 5 3 7 2 +--R (- 2a b - 6a b - 6a b - 2a b)cosh(x) +--R + +--R 2 6 4 4 6 2 8 7 3 5 5 3 7 +--R (4a b + 12a b + 12a b + 4a )cosh(x) - 2a b - 6a b - 6a b - 2a b +--R Type: Expression Integer +--E 169 + +--S 170 of 552 +--d0733:= D(m0733,x) +--E 170 + +--S 171 of 552 +t0734:= sech(x)/(%i+sinh(x))^2 +--R +--R +--R sech(x) +--R (166) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 171 + +--S 172 of 552 +r0734:= -1/4*atan(sinh(x))-1/4*%i/(%i+sinh(x))^2-1/(4*%i+4*sinh(x)) +--R +--R +--R 2 +--R (- sinh(x) - 2%i sinh(x) + 1)atan(sinh(x)) - sinh(x) - 2%i +--R (167) ----------------------------------------------------------- +--R 2 +--R 4sinh(x) + 8%i sinh(x) - 4 +--R Type: Expression Complex Integer +--E 172 + +--S 173 of 552 +a0734:= integrate(t0734,x) +--R +--R +--R (168) +--R 4 3 +--R %i sinh(x) + (4%i cosh(x) - 4)sinh(x) +--R + +--R 2 2 +--R (6%i cosh(x) - 12cosh(x) - 6%i)sinh(x) +--R + +--R 3 2 4 +--R (4%i cosh(x) - 12cosh(x) - 12%i cosh(x) + 4)sinh(x) + %i cosh(x) +--R + +--R 3 2 +--R - 4cosh(x) - 6%i cosh(x) + 4cosh(x) + %i +--R * +--R sinh(x) + cosh(x) - %i +--R log(----------------------) +--R sinh(x) + cosh(x) + %i +--R + +--R 3 2 +--R - 2sinh(x) + (- 6cosh(x) - 8%i)sinh(x) +--R + +--R 2 3 2 +--R (- 6cosh(x) - 16%i cosh(x) + 2)sinh(x) - 2cosh(x) - 8%i cosh(x) +--R + +--R 2cosh(x) +--R / +--R 4 3 +--R 4sinh(x) + (16cosh(x) + 16%i)sinh(x) +--R + +--R 2 2 +--R (24cosh(x) + 48%i cosh(x) - 24)sinh(x) +--R + +--R 3 2 4 +--R (16cosh(x) + 48%i cosh(x) - 48cosh(x) - 16%i)sinh(x) + 4cosh(x) +--R + +--R 3 2 +--R 16%i cosh(x) - 24cosh(x) - 16%i cosh(x) + 4 +--R Type: Union(Expression Complex Integer,...) +--E 173 + +--S 174 of 552 +m0734:= a0734-r0734 +--R +--R +--R (169) +--R 6 5 +--R %i sinh(x) + (4%i cosh(x) - 6)sinh(x) +--R + +--R 2 4 +--R (6%i cosh(x) - 20cosh(x) - 15%i)sinh(x) +--R + +--R 3 2 3 +--R (4%i cosh(x) - 24cosh(x) - 40%i cosh(x) + 20)sinh(x) +--R + +--R 4 3 2 2 +--R (%i cosh(x) - 12cosh(x) - 36%i cosh(x) + 40cosh(x) + 15%i)sinh(x) +--R + +--R 4 3 2 +--R (- 2cosh(x) - 12%i cosh(x) + 24cosh(x) + 20%i cosh(x) - 6)sinh(x) +--R + +--R 4 3 2 +--R - %i cosh(x) + 4cosh(x) + 6%i cosh(x) - 4cosh(x) - %i +--R * +--R sinh(x) + cosh(x) - %i +--R log(----------------------) +--R sinh(x) + cosh(x) + %i +--R + +--R 6 5 +--R sinh(x) + (4cosh(x) + 6%i)sinh(x) +--R + +--R 2 4 +--R (6cosh(x) + 20%i cosh(x) - 15)sinh(x) +--R + +--R 3 2 3 +--R (4cosh(x) + 24%i cosh(x) - 40cosh(x) - 20%i)sinh(x) +--R + +--R 4 3 2 2 +--R (cosh(x) + 12%i cosh(x) - 36cosh(x) - 40%i cosh(x) + 15)sinh(x) +--R + +--R 4 3 2 +--R (2%i cosh(x) - 12cosh(x) - 24%i cosh(x) + 20cosh(x) + 6%i)sinh(x) +--R + +--R 4 3 2 +--R - cosh(x) - 4%i cosh(x) + 6cosh(x) + 4%i cosh(x) - 1 +--R * +--R atan(sinh(x)) +--R + +--R 5 4 3 +--R - sinh(x) + (- 2cosh(x) - 6%i)sinh(x) + (- 8%i cosh(x) + 6)sinh(x) +--R + +--R 3 2 2 +--R (2cosh(x) + 4%i cosh(x) + 4cosh(x) - 4%i)sinh(x) +--R + +--R 4 3 2 +--R (cosh(x) + 8%i cosh(x) - 8cosh(x) - 8%i cosh(x) + 7)sinh(x) +--R + +--R 4 3 2 +--R 2%i cosh(x) - 6cosh(x) - 4%i cosh(x) + 6cosh(x) + 2%i +--R / +--R 6 5 +--R 4sinh(x) + (16cosh(x) + 24%i)sinh(x) +--R + +--R 2 4 +--R (24cosh(x) + 80%i cosh(x) - 60)sinh(x) +--R + +--R 3 2 3 +--R (16cosh(x) + 96%i cosh(x) - 160cosh(x) - 80%i)sinh(x) +--R + +--R 4 3 2 2 +--R (4cosh(x) + 48%i cosh(x) - 144cosh(x) - 160%i cosh(x) + 60)sinh(x) +--R + +--R 4 3 2 +--R (8%i cosh(x) - 48cosh(x) - 96%i cosh(x) + 80cosh(x) + 24%i)sinh(x) +--R + +--R 4 3 2 +--R - 4cosh(x) - 16%i cosh(x) + 24cosh(x) + 16%i cosh(x) - 4 +--R Type: Expression Complex Integer +--E 174 + +--S 175 of 552 +d0734:= D(m0734,x) +--R +--R +--R (170) +--R 7 6 +--R 8sinh(x) + (23cosh(x) + 16%i)sinh(x) +--R + +--R 2 5 +--R (18cosh(x) + 44%i cosh(x))sinh(x) +--R + +--R 3 2 4 +--R (- 7cosh(x) + 28%i cosh(x) + 5cosh(x) + 16%i)sinh(x) +--R + +--R 4 3 2 3 +--R (- 20cosh(x) - 24%i cosh(x) + 20cosh(x) + 48%i cosh(x) - 8)sinh(x) +--R + +--R 5 4 3 2 +--R (- 15cosh(x) - 40%i cosh(x) + 30cosh(x) + 48%i cosh(x) - 19cosh(x)) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R - 6cosh(x) - 20%i cosh(x) + 20cosh(x) + 16%i cosh(x) - 14cosh(x) +--R + +--R 4%i cosh(x) +--R * +--R sinh(x) +--R + +--R 7 6 5 3 2 +--R - cosh(x) - 4%i cosh(x) + 5cosh(x) - 3cosh(x) + 4%i cosh(x) - cosh(x) +--R / +--R 10 9 +--R sinh(x) + (6cosh(x) + 6%i)sinh(x) +--R + +--R 2 8 +--R (15cosh(x) + 32%i cosh(x) - 13)sinh(x) +--R + +--R 3 2 7 +--R (20cosh(x) + 70%i cosh(x) - 60cosh(x) - 8%i)sinh(x) +--R + +--R 4 3 2 6 +--R (15cosh(x) + 80%i cosh(x) - 110cosh(x) - 28%i cosh(x) - 14)sinh(x) +--R + +--R 5 4 3 2 +--R 6cosh(x) + 50%i cosh(x) - 100cosh(x) - 30%i cosh(x) - 56cosh(x) +--R + +--R - 28%i +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 4 2 +--R cosh(x) + 16%i cosh(x) - 45cosh(x) - 100cosh(x) - 84%i cosh(x) +--R + +--R 14 +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 2%i cosh(x) - 8cosh(x) + 20%i cosh(x) - 100cosh(x) +--R + +--R 2 +--R - 110%i cosh(x) + 28cosh(x) - 8%i +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 12%i cosh(x) - 55cosh(x) - 80%i cosh(x) + 30cosh(x) +--R + +--R - 20%i cosh(x) + 13 +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 2%i cosh(x) - 14cosh(x) - 30%i cosh(x) + 20cosh(x) +--R + +--R 2 +--R - 10%i cosh(x) + 18cosh(x) + 6%i +--R * +--R sinh(x) +--R + +--R 6 5 4 2 +--R - cosh(x) - 4%i cosh(x) + 5cosh(x) + 5cosh(x) + 4%i cosh(x) - 1 +--R Type: Expression Complex Integer +--E 175 + +--S 176 of 552 +t0735:= sech(x)^2/(%i+sinh(x))^2 +--R +--R +--R 2 +--R sech(x) +--R (171) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 176 + +--S 177 of 552 +r0735:= 1/5/cosh(x)^5*(-2*cosh(x)^4*sinh(x)-sinh(x)*cosh(x)^2-2*sinh(x)+2*%i) +--R +--R +--R 4 2 +--R (- 2cosh(x) - cosh(x) - 2)sinh(x) + 2%i +--R (172) ----------------------------------------- +--R 5 +--R 5cosh(x) +--R Type: Expression Complex Integer +--E 177 + +--S 178 of 552 +a0735:= integrate(t0735,x) +--R +--R +--R (173) +--R - 24sinh(x) - 16cosh(x) - 16%i +--R / +--R 5 4 +--R 5sinh(x) + (25cosh(x) + 20%i)sinh(x) +--R + +--R 2 3 +--R (50cosh(x) + 80%i cosh(x) - 25)sinh(x) +--R + +--R 3 2 2 +--R (50cosh(x) + 120%i cosh(x) - 75cosh(x))sinh(x) +--R + +--R 4 3 2 5 +--R (25cosh(x) + 80%i cosh(x) - 75cosh(x) - 30)sinh(x) + 5cosh(x) +--R + +--R 4 3 +--R 20%i cosh(x) - 25cosh(x) - 20cosh(x) - 20%i +--R Type: Union(Expression Complex Integer,...) +--E 178 + +--S 179 of 552 +m0735:= a0735-r0735 +--R +--R +--R (174) +--R 4 2 6 +--R (2cosh(x) + cosh(x) + 2)sinh(x) +--R + +--R 5 4 3 2 +--R 10cosh(x) + 8%i cosh(x) + 5cosh(x) + 4%i cosh(x) + 10cosh(x) +--R + +--R 6%i +--R * +--R 5 +--R sinh(x) +--R + +--R 6 5 3 2 +--R 20cosh(x) + 32%i cosh(x) + 16%i cosh(x) + 15cosh(x) +--R + +--R 22%i cosh(x) - 2 +--R * +--R 4 +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 20cosh(x) + 48%i cosh(x) - 20cosh(x) + 24%i cosh(x) + 5cosh(x) +--R + +--R 2 +--R 28%i cosh(x) + 2cosh(x) + 10%i +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R 10cosh(x) + 32%i cosh(x) - 25cosh(x) + 16%i cosh(x) - 17cosh(x) +--R + +--R 3 2 +--R 12%i cosh(x) + 12cosh(x) + 30%i cosh(x) - 12 +--R * +--R 2 +--R sinh(x) +--R + +--R 9 8 7 6 5 +--R 2cosh(x) + 8%i cosh(x) - 9cosh(x) + 4%i cosh(x) - 35cosh(x) +--R + +--R 4 3 2 +--R - 10%i cosh(x) + 18cosh(x) + 26%i cosh(x) - 8cosh(x) + 4%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 16cosh(x) - 18%i cosh(x) + 8cosh(x) + 10%i cosh(x) + 8%i cosh(x) - 8 +--R / +--R 5 5 6 5 4 +--R 5cosh(x) sinh(x) + (25cosh(x) + 20%i cosh(x) )sinh(x) +--R + +--R 7 6 5 3 +--R (50cosh(x) + 80%i cosh(x) - 25cosh(x) )sinh(x) +--R + +--R 8 7 6 2 +--R (50cosh(x) + 120%i cosh(x) - 75cosh(x) )sinh(x) +--R + +--R 9 8 7 5 +--R (25cosh(x) + 80%i cosh(x) - 75cosh(x) - 30cosh(x) )sinh(x) +--R + +--R 10 9 8 6 5 +--R 5cosh(x) + 20%i cosh(x) - 25cosh(x) - 20cosh(x) - 20%i cosh(x) +--R Type: Expression Complex Integer +--E 179 + +--S 180 of 552 +d0735:= D(m0735,x) +--R +--R +--R (175) +--R 4 2 12 +--R (- 2cosh(x) - 3cosh(x) - 10)sinh(x) +--R + +--R 5 4 3 2 +--R - 20cosh(x) - 16%i cosh(x) - 30cosh(x) - 24%i cosh(x) +--R + +--R - 100cosh(x) - 70%i +--R * +--R 11 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 88cosh(x) - 144%i cosh(x) - 82cosh(x) - 216%i cosh(x) +--R + +--R 2 +--R - 370cosh(x) - 620%i cosh(x) + 180 +--R * +--R 10 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 220cosh(x) - 560%i cosh(x) + 66cosh(x) - 776%i cosh(x) +--R + +--R 3 2 +--R - 556cosh(x) - 2294%i cosh(x) + 1360cosh(x) + 140%i +--R * +--R 9 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 330cosh(x) - 1200%i cosh(x) + 819cosh(x) - 1384%i cosh(x) +--R + +--R 4 3 2 +--R 122cosh(x) - 4536%i cosh(x) + 4309cosh(x) + 720%i cosh(x) + 270 +--R * +--R 8 +--R sinh(x) +--R + +--R 9 8 7 6 +--R - 264cosh(x) - 1440%i cosh(x) + 1860cosh(x) - 1136%i cosh(x) +--R + +--R 5 4 3 2 +--R 1716cosh(x) - 4812%i cosh(x) + 7178cosh(x) + 1208%i cosh(x) +--R + +--R 1980cosh(x) + 690%i +--R * +--R 7 +--R sinh(x) +--R + +--R 9 8 7 6 +--R - 672%i cosh(x) + 1764cosh(x) - 112%i cosh(x) + 2752cosh(x) +--R + +--R 5 4 3 2 +--R - 1768%i cosh(x) + 5848cosh(x) - 328%i cosh(x) + 6000cosh(x) +--R + +--R 3460%i cosh(x) - 360 +--R * +--R 6 +--R sinh(x) +--R + +--R 11 10 9 8 +--R 264cosh(x) + 672%i cosh(x) - 108cosh(x) + 112%i cosh(x) +--R + +--R 7 6 5 4 +--R 2356cosh(x) + 2036%i cosh(x) + 54cosh(x) - 4528%i cosh(x) +--R + +--R 3 2 +--R 10120cosh(x) + 6878%i cosh(x) - 840cosh(x) + 520%i +--R * +--R 5 +--R sinh(x) +--R + +--R 12 11 10 9 +--R 330cosh(x) + 1440%i cosh(x) - 2109cosh(x) - 976%i cosh(x) +--R + +--R 8 7 6 5 +--R 1614cosh(x) + 3696%i cosh(x) - 4906cosh(x) - 8072%i cosh(x) +--R + +--R 4 3 2 +--R 10624cosh(x) + 6752%i cosh(x) + 116cosh(x) + 2280%i cosh(x) - 760 +--R * +--R 4 +--R sinh(x) +--R + +--R 13 12 11 10 +--R 220cosh(x) + 1200%i cosh(x) - 2406cosh(x) - 1784%i cosh(x) +--R + +--R 9 8 7 6 +--R 1312cosh(x) + 3314%i cosh(x) - 5610cosh(x) - 7528%i cosh(x) +--R + +--R 5 4 3 2 +--R 7348cosh(x) + 3102%i cosh(x) + 2112cosh(x) + 3656%i cosh(x) +--R + +--R - 1680cosh(x) - 120%i +--R * +--R 3 +--R sinh(x) +--R + +--R 14 13 12 11 +--R 88cosh(x) + 560%i cosh(x) - 1362cosh(x) - 1336%i cosh(x) +--R + +--R 10 9 8 7 +--R 946cosh(x) + 2068%i cosh(x) - 3628cosh(x) - 4264%i cosh(x) +--R + +--R 6 5 4 3 +--R 3416cosh(x) + 388%i cosh(x) + 2444cosh(x) + 2824%i cosh(x) +--R + +--R 2 +--R - 1240cosh(x) + 160%i cosh(x) - 320 +--R * +--R 2 +--R sinh(x) +--R + +--R 15 14 13 12 +--R 20cosh(x) + 144%i cosh(x) - 406cosh(x) - 488%i cosh(x) +--R + +--R 11 10 9 8 +--R 392cosh(x) + 802%i cosh(x) - 1446cosh(x) - 1516%i cosh(x) +--R + +--R 7 6 5 4 +--R 1000cosh(x) - 46%i cosh(x) + 1064cosh(x) + 1008%i cosh(x) +--R + +--R 3 2 +--R - 304cosh(x) + 256%i cosh(x) - 320cosh(x) - 160%i +--R * +--R sinh(x) +--R + +--R 16 15 14 13 12 +--R 2cosh(x) + 16%i cosh(x) - 51cosh(x) - 72%i cosh(x) + 66cosh(x) +--R + +--R 11 10 9 8 +--R 136%i cosh(x) - 267cosh(x) - 280%i cosh(x) + 138cosh(x) +--R + +--R 7 6 5 4 3 +--R 24%i cosh(x) + 128cosh(x) + 112%i cosh(x) + 16cosh(x) + 64%i cosh(x) +--R + +--R 2 +--R - 32cosh(x) +--R / +--R 6 10 7 6 9 +--R 5cosh(x) sinh(x) + (50cosh(x) + 40%i cosh(x) )sinh(x) +--R + +--R 8 7 6 8 +--R (225cosh(x) + 360%i cosh(x) - 130cosh(x) )sinh(x) +--R + +--R 9 8 7 6 7 +--R (600cosh(x) + 1440%i cosh(x) - 1040cosh(x) - 200%i cosh(x) )sinh(x) +--R + +--R 10 9 8 7 +--R 1050cosh(x) + 3360%i cosh(x) - 3640cosh(x) - 1400%i cosh(x) +--R + +--R 6 +--R 65cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 11 10 9 8 +--R 1260cosh(x) + 5040%i cosh(x) - 7280cosh(x) - 4200%i cosh(x) +--R + +--R 7 6 +--R 410cosh(x) - 280%i cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 12 11 10 9 +--R 1050cosh(x) + 5040%i cosh(x) - 9100cosh(x) - 7000%i cosh(x) +--R + +--R 8 7 6 +--R 1075cosh(x) - 1320%i cosh(x) + 460cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 13 12 11 10 +--R 600cosh(x) + 3360%i cosh(x) - 7280cosh(x) - 7000%i cosh(x) +--R + +--R 9 8 7 6 +--R 1500cosh(x) - 2480%i cosh(x) + 1740cosh(x) + 200%i cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 14 13 12 11 +--R 225cosh(x) + 1440%i cosh(x) - 3640cosh(x) - 4200%i cosh(x) +--R + +--R 10 9 8 7 +--R 1175cosh(x) - 2320%i cosh(x) + 2460cosh(x) + 600%i cosh(x) +--R + +--R 6 +--R 180cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 15 14 13 12 +--R 50cosh(x) + 360%i cosh(x) - 1040cosh(x) - 1400%i cosh(x) +--R + +--R 11 10 9 8 +--R 490cosh(x) - 1080%i cosh(x) + 1540cosh(x) + 600%i cosh(x) +--R + +--R 7 6 +--R 240cosh(x) + 240%i cosh(x) +--R * +--R sinh(x) +--R + +--R 16 15 14 13 +--R 5cosh(x) + 40%i cosh(x) - 130cosh(x) - 200%i cosh(x) +--R + +--R 12 11 10 9 +--R 85cosh(x) - 200%i cosh(x) + 360cosh(x) + 200%i cosh(x) +--R + +--R 8 7 6 +--R 80cosh(x) + 160%i cosh(x) - 80cosh(x) +--R Type: Expression Complex Integer +--E 180 + +--S 181 of 552 +t0736:= sech(x)^3/(%i+sinh(x))^2 +--R +--R +--R 3 +--R sech(x) +--R (176) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 181 + +--S 182 of 552 +r0736:= -1/4*atan(sinh(x))+1/(16*%i-16*sinh(x))+1/12/(%i+sinh(x))^3-_ + 1/8*%i/(%i+sinh(x))^2-3/(16*%i+16*sinh(x)) +--R +--R +--R (177) +--R 4 3 3 +--R (- 3sinh(x) - 6%i sinh(x) - 6%i sinh(x) + 3)atan(sinh(x)) - 3sinh(x) +--R + +--R 2 +--R - 6%i sinh(x) + sinh(x) - 4%i +--R / +--R 4 3 +--R 12sinh(x) + 24%i sinh(x) + 24%i sinh(x) - 12 +--R Type: Expression Complex Integer +--E 182 + +--S 183 of 552 +a0736:= integrate(t0736,x) +--R +--R +--R (178) +--R 8 7 +--R 3%i sinh(x) + (24%i cosh(x) - 12)sinh(x) +--R + +--R 2 6 +--R (84%i cosh(x) - 84cosh(x) - 12%i)sinh(x) +--R + +--R 3 2 5 +--R (168%i cosh(x) - 252cosh(x) - 72%i cosh(x) - 12)sinh(x) +--R + +--R 4 3 2 +--R (210%i cosh(x) - 420cosh(x) - 180%i cosh(x) - 60cosh(x) - 30%i) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 168%i cosh(x) - 420cosh(x) - 240%i cosh(x) - 120cosh(x) +--R + +--R - 120%i cosh(x) + 12 +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 84%i cosh(x) - 252cosh(x) - 180%i cosh(x) - 120cosh(x) +--R + +--R 2 +--R - 180%i cosh(x) + 36cosh(x) - 12%i +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 24%i cosh(x) - 84cosh(x) - 72%i cosh(x) - 60cosh(x) +--R + +--R 3 2 +--R - 120%i cosh(x) + 36cosh(x) - 24%i cosh(x) + 12 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 +--R 3%i cosh(x) - 12cosh(x) - 12%i cosh(x) - 12cosh(x) +--R + +--R 4 3 2 +--R - 30%i cosh(x) + 12cosh(x) - 12%i cosh(x) + 12cosh(x) + 3%i +--R * +--R sinh(x) + cosh(x) - %i +--R log(----------------------) +--R sinh(x) + cosh(x) + %i +--R + +--R 7 6 +--R - 6sinh(x) + (- 42cosh(x) - 24%i)sinh(x) +--R + +--R 2 5 +--R (- 126cosh(x) - 144%i cosh(x) + 26)sinh(x) +--R + +--R 3 2 4 +--R (- 210cosh(x) - 360%i cosh(x) + 130cosh(x) - 16%i)sinh(x) +--R + +--R 4 3 2 +--R (- 210cosh(x) - 480%i cosh(x) + 260cosh(x) - 64%i cosh(x) - 26) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 126cosh(x) - 360%i cosh(x) + 260cosh(x) - 96%i cosh(x) +--R + +--R - 78cosh(x) - 24%i +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 42cosh(x) - 144%i cosh(x) + 130cosh(x) - 64%i cosh(x) +--R + +--R 2 +--R - 78cosh(x) - 48%i cosh(x) + 6 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R - 6cosh(x) - 24%i cosh(x) + 26cosh(x) - 16%i cosh(x) - 26cosh(x) +--R + +--R 2 +--R - 24%i cosh(x) + 6cosh(x) +--R / +--R 8 7 +--R 12sinh(x) + (96cosh(x) + 48%i)sinh(x) +--R + +--R 2 6 +--R (336cosh(x) + 336%i cosh(x) - 48)sinh(x) +--R + +--R 3 2 5 +--R (672cosh(x) + 1008%i cosh(x) - 288cosh(x) + 48%i)sinh(x) +--R + +--R 4 3 2 +--R (840cosh(x) + 1680%i cosh(x) - 720cosh(x) + 240%i cosh(x) - 120) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 672cosh(x) + 1680%i cosh(x) - 960cosh(x) + 480%i cosh(x) +--R + +--R - 480cosh(x) - 48%i +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 336cosh(x) + 1008%i cosh(x) - 720cosh(x) + 480%i cosh(x) +--R + +--R 2 +--R - 720cosh(x) - 144%i cosh(x) - 48 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 96cosh(x) + 336%i cosh(x) - 288cosh(x) + 240%i cosh(x) +--R + +--R 3 2 +--R - 480cosh(x) - 144%i cosh(x) - 96cosh(x) - 48%i +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R 12cosh(x) + 48%i cosh(x) - 48cosh(x) + 48%i cosh(x) - 120cosh(x) +--R + +--R 3 2 +--R - 48%i cosh(x) - 48cosh(x) - 48%i cosh(x) + 12 +--R Type: Union(Expression Complex Integer,...) +--E 183 + +--S 184 of 552 +m0736:= a0736-r0736 +--R +--R +--R (179) +--R 12 11 +--R 3%i sinh(x) + (24%i cosh(x) - 18)sinh(x) +--R + +--R 2 10 +--R (84%i cosh(x) - 132cosh(x) - 36%i)sinh(x) +--R + +--R 3 2 9 +--R (168%i cosh(x) - 420cosh(x) - 240%i cosh(x) + 6)sinh(x) +--R + +--R 4 3 2 +--R (210%i cosh(x) - 756cosh(x) - 684%i cosh(x) + 36cosh(x) - 81%i) +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 168%i cosh(x) - 840cosh(x) - 1080%i cosh(x) + 72cosh(x) +--R + +--R - 432%i cosh(x) + 108 +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 84%i cosh(x) - 588cosh(x) - 1020%i cosh(x) + 24cosh(x) +--R + +--R 2 +--R - 1008%i cosh(x) + 504cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 24%i cosh(x) - 252cosh(x) - 576%i cosh(x) - 120cosh(x) +--R + +--R 3 2 +--R - 1368%i cosh(x) + 1008cosh(x) + 108 +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 3%i cosh(x) - 60cosh(x) - 180%i cosh(x) - 204cosh(x) +--R + +--R 4 3 +--R - 1200%i cosh(x) + 1152cosh(x) + 360cosh(x) + 81%i +--R * +--R 4 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 6cosh(x) - 24%i cosh(x) - 144cosh(x) - 696%i cosh(x) +--R + +--R 4 3 2 +--R 840cosh(x) + 24%i cosh(x) + 504cosh(x) + 216%i cosh(x) + 6 +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 48cosh(x) - 252%i cosh(x) + 396cosh(x) + 60%i cosh(x) +--R + +--R 3 2 +--R 360cosh(x) + 252%i cosh(x) + 12cosh(x) + 36%i +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 6cosh(x) - 48%i cosh(x) + 108cosh(x) + 48%i cosh(x) +--R + +--R 4 3 2 +--R 120cosh(x) + 144%i cosh(x) - 12cosh(x) + 48%i cosh(x) - 18 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 3%i cosh(x) + 12cosh(x) + 12%i cosh(x) + 12cosh(x) +--R + +--R 4 3 2 +--R 30%i cosh(x) - 12cosh(x) + 12%i cosh(x) - 12cosh(x) - 3%i +--R * +--R sinh(x) + cosh(x) - %i +--R log(----------------------) +--R sinh(x) + cosh(x) + %i +--R + +--R 12 11 +--R 3sinh(x) + (24cosh(x) + 18%i)sinh(x) +--R + +--R 2 10 +--R (84cosh(x) + 132%i cosh(x) - 36)sinh(x) +--R + +--R 3 2 9 +--R (168cosh(x) + 420%i cosh(x) - 240cosh(x) - 6%i)sinh(x) +--R + +--R 4 3 2 +--R (210cosh(x) + 756%i cosh(x) - 684cosh(x) - 36%i cosh(x) - 81) +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 168cosh(x) + 840%i cosh(x) - 1080cosh(x) - 72%i cosh(x) +--R + +--R - 432cosh(x) - 108%i +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 84cosh(x) + 588%i cosh(x) - 1020cosh(x) - 24%i cosh(x) +--R + +--R 2 +--R - 1008cosh(x) - 504%i cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 24cosh(x) + 252%i cosh(x) - 576cosh(x) + 120%i cosh(x) +--R + +--R 3 2 +--R - 1368cosh(x) - 1008%i cosh(x) - 108%i +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 3cosh(x) + 60%i cosh(x) - 180cosh(x) + 204%i cosh(x) +--R + +--R 4 3 +--R - 1200cosh(x) - 1152%i cosh(x) - 360%i cosh(x) + 81 +--R * +--R 4 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 6%i cosh(x) - 24cosh(x) + 144%i cosh(x) - 696cosh(x) +--R + +--R 4 3 2 +--R - 840%i cosh(x) + 24cosh(x) - 504%i cosh(x) + 216cosh(x) - 6%i +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 48%i cosh(x) - 252cosh(x) - 396%i cosh(x) + 60cosh(x) +--R + +--R 3 2 +--R - 360%i cosh(x) + 252cosh(x) - 12%i cosh(x) + 36 +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 6%i cosh(x) - 48cosh(x) - 108%i cosh(x) + 48cosh(x) +--R + +--R 4 3 2 +--R - 120%i cosh(x) + 144cosh(x) + 12%i cosh(x) + 48cosh(x) + 18%i +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - 3cosh(x) - 12%i cosh(x) + 12cosh(x) - 12%i cosh(x) + 30cosh(x) +--R + +--R 3 2 +--R 12%i cosh(x) + 12cosh(x) + 12%i cosh(x) - 3 +--R * +--R atan(sinh(x)) +--R + +--R 11 10 +--R - 3sinh(x) + (- 18cosh(x) - 18%i)sinh(x) +--R + +--R 2 9 +--R (- 42cosh(x) - 96%i cosh(x) + 37)sinh(x) +--R + +--R 3 2 8 +--R (- 42cosh(x) - 192%i cosh(x) + 170cosh(x) + 12%i)sinh(x) +--R + +--R 3 2 7 +--R (- 144%i cosh(x) + 268cosh(x) + 32%i cosh(x) - 6)sinh(x) +--R + +--R 5 4 3 2 +--R 42cosh(x) + 60%i cosh(x) + 84cosh(x) - 40%i cosh(x) + 52cosh(x) +--R + +--R - 92%i +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 42cosh(x) + 192%i cosh(x) - 240cosh(x) - 240%i cosh(x) +--R + +--R 2 +--R 264cosh(x) - 192%i cosh(x) + 66 +--R * +--R 5 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 18cosh(x) + 144%i cosh(x) - 318cosh(x) - 336%i cosh(x) +--R + +--R 3 2 +--R 432cosh(x) + 24%i cosh(x) + 108cosh(x) - 96%i +--R * +--R 4 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 3cosh(x) + 48%i cosh(x) - 160cosh(x) - 192%i cosh(x) +--R + +--R 4 3 2 +--R 312cosh(x) + 336%i cosh(x) - 60cosh(x) - 288%i cosh(x) + 121 +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 6%i cosh(x) - 32cosh(x) - 24%i cosh(x) + 78cosh(x) +--R + +--R 4 3 2 +--R 300%i cosh(x) - 228cosh(x) - 312%i cosh(x) + 254cosh(x) + 30%i +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - cosh(x) + 16%i cosh(x) - 18cosh(x) + 96%i cosh(x) - 168cosh(x) +--R + +--R 3 2 +--R - 144%i cosh(x) + 178cosh(x) + 32%i cosh(x) + 9 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R 4%i cosh(x) - 10cosh(x) + 8%i cosh(x) - 42cosh(x) - 24%i cosh(x) +--R + +--R 3 2 +--R 42cosh(x) + 8%i cosh(x) + 10cosh(x) + 4%i +--R / +--R 12 11 +--R 12sinh(x) + (96cosh(x) + 72%i)sinh(x) +--R + +--R 2 10 +--R (336cosh(x) + 528%i cosh(x) - 144)sinh(x) +--R + +--R 3 2 9 +--R (672cosh(x) + 1680%i cosh(x) - 960cosh(x) - 24%i)sinh(x) +--R + +--R 4 3 2 +--R (840cosh(x) + 3024%i cosh(x) - 2736cosh(x) - 144%i cosh(x) - 324) +--R * +--R 8 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 672cosh(x) + 3360%i cosh(x) - 4320cosh(x) - 288%i cosh(x) +--R + +--R - 1728cosh(x) - 432%i +--R * +--R 7 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 336cosh(x) + 2352%i cosh(x) - 4080cosh(x) - 96%i cosh(x) +--R + +--R 2 +--R - 4032cosh(x) - 2016%i cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 96cosh(x) + 1008%i cosh(x) - 2304cosh(x) + 480%i cosh(x) +--R + +--R 3 2 +--R - 5472cosh(x) - 4032%i cosh(x) - 432%i +--R * +--R 5 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 12cosh(x) + 240%i cosh(x) - 720cosh(x) + 816%i cosh(x) +--R + +--R 4 3 +--R - 4800cosh(x) - 4608%i cosh(x) - 1440%i cosh(x) + 324 +--R * +--R 4 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 24%i cosh(x) - 96cosh(x) + 576%i cosh(x) - 2784cosh(x) +--R + +--R 4 3 2 +--R - 3360%i cosh(x) + 96cosh(x) - 2016%i cosh(x) + 864cosh(x) - 24%i +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 192%i cosh(x) - 1008cosh(x) - 1584%i cosh(x) + 240cosh(x) +--R + +--R 3 2 +--R - 1440%i cosh(x) + 1008cosh(x) - 48%i cosh(x) + 144 +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 24%i cosh(x) - 192cosh(x) - 432%i cosh(x) + 192cosh(x) +--R + +--R 4 3 2 +--R - 480%i cosh(x) + 576cosh(x) + 48%i cosh(x) + 192cosh(x) + 72%i +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - 12cosh(x) - 48%i cosh(x) + 48cosh(x) - 48%i cosh(x) + 120cosh(x) +--R + +--R 3 2 +--R 48%i cosh(x) + 48cosh(x) + 48%i cosh(x) - 12 +--R Type: Expression Complex Integer +--E 184 + +--S 185 of 552 +d0736:= D(m0736,x) +--R +--R +--R (180) +--R 11 10 +--R 32sinh(x) + (159cosh(x) + 64%i)sinh(x) +--R + +--R 2 9 +--R (310cosh(x) + 316%i cosh(x) + 32)sinh(x) +--R + +--R 3 2 8 +--R (275cosh(x) + 604%i cosh(x) + 163cosh(x) + 128%i)sinh(x) +--R + +--R 4 3 2 7 +--R (40cosh(x) + 496%i cosh(x) + 344cosh(x) + 632%i cosh(x) - 32)sinh(x) +--R + +--R 5 4 3 2 +--R - 178cosh(x) - 16%i cosh(x) + 404cosh(x) + 1224%i cosh(x) +--R + +--R - 146cosh(x) + 64%i +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 252cosh(x) - 440%i cosh(x) + 328cosh(x) + 1112%i cosh(x) +--R + +--R 2 +--R - 236cosh(x) + 320%i cosh(x) - 32 +--R * +--R 5 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 210cosh(x) - 504%i cosh(x) + 242cosh(x) + 360%i cosh(x) +--R + +--R 3 2 +--R - 110cosh(x) + 640%i cosh(x) - 146cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 120cosh(x) - 336%i cosh(x) + 168cosh(x) - 152%i cosh(x) +--R + +--R 4 3 2 +--R 120cosh(x) + 640%i cosh(x) - 264cosh(x) + 8%i cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 9 8 7 6 +--R - 45cosh(x) - 144%i cosh(x) + 84cosh(x) - 168%i cosh(x) +--R + +--R 5 4 3 2 +--R 178cosh(x) + 320%i cosh(x) - 236cosh(x) + 24%i cosh(x) + 3cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 10 9 8 7 +--R - 10cosh(x) - 36%i cosh(x) + 24cosh(x) - 56%i cosh(x) +--R + +--R 6 5 4 3 2 +--R 84cosh(x) + 64%i cosh(x) - 104cosh(x) + 24%i cosh(x) + 6cosh(x) +--R + +--R 4%i cosh(x) +--R * +--R sinh(x) +--R + +--R 11 10 9 8 7 +--R - cosh(x) - 4%i cosh(x) + 3cosh(x) - 8%i cosh(x) + 14cosh(x) +--R + +--R 5 4 3 2 +--R - 18cosh(x) + 8%i cosh(x) + 3cosh(x) + 4%i cosh(x) - cosh(x) +--R / +--R 16 15 +--R sinh(x) + (10cosh(x) + 6%i)sinh(x) +--R + +--R 2 14 +--R (45cosh(x) + 56%i cosh(x) - 10)sinh(x) +--R + +--R 3 2 13 +--R (120cosh(x) + 234%i cosh(x) - 86cosh(x) + 10%i)sinh(x) +--R + +--R 4 3 2 12 +--R (210cosh(x) + 576%i cosh(x) - 327cosh(x) + 84%i cosh(x) - 50)sinh(x) +--R + +--R 5 4 3 2 +--R 252cosh(x) + 924%i cosh(x) - 720cosh(x) + 324%i cosh(x) +--R + +--R - 374cosh(x) - 34%i +--R * +--R 11 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 210cosh(x) + 1008%i cosh(x) - 1008cosh(x) + 760%i cosh(x) +--R + +--R 2 +--R - 1251cosh(x) - 224%i cosh(x) - 66 +--R * +--R 10 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 120cosh(x) + 756%i cosh(x) - 924cosh(x) + 1204%i cosh(x) +--R + +--R 3 2 +--R - 2472cosh(x) - 642%i cosh(x) - 422cosh(x) - 110%i +--R * +--R 9 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 45cosh(x) + 384%i cosh(x) - 546cosh(x) + 1344%i cosh(x) +--R + +--R 4 3 2 +--R - 3206cosh(x) - 1048%i cosh(x) - 1215cosh(x) - 612%i cosh(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 10cosh(x) + 126%i cosh(x) - 192cosh(x) + 1064%i cosh(x) +--R + +--R 5 4 3 2 +--R - 2856cosh(x) - 1064%i cosh(x) - 2080cosh(x) - 1512%i cosh(x) +--R + +--R - 18cosh(x) - 110%i +--R * +--R 7 +--R sinh(x) +--R + +--R 10 9 8 7 +--R cosh(x) + 24%i cosh(x) - 30cosh(x) + 584%i cosh(x) +--R + +--R 6 5 4 3 +--R - 1764cosh(x) - 672%i cosh(x) - 2352cosh(x) - 2192%i cosh(x) +--R + +--R 2 +--R - 81cosh(x) - 488%i cosh(x) + 66 +--R * +--R 6 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 2%i cosh(x) + 2cosh(x) + 210%i cosh(x) - 736cosh(x) +--R + +--R 6 5 4 3 +--R - 224%i cosh(x) - 1848cosh(x) - 2072%i cosh(x) - 152cosh(x) +--R + +--R 2 +--R - 954%i cosh(x) + 238cosh(x) - 34%i +--R * +--R 5 +--R sinh(x) +--R + +--R 10 9 8 7 6 +--R cosh(x) + 44%i cosh(x) - 192cosh(x) + 8%i cosh(x) - 1036cosh(x) +--R + +--R 5 4 3 2 +--R - 1344%i cosh(x) - 154cosh(x) - 1072%i cosh(x) + 387cosh(x) +--R + +--R - 116%i cosh(x) + 50 +--R * +--R 4 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 4%i cosh(x) - 26cosh(x) + 42%i cosh(x) - 416cosh(x) +--R + +--R 6 5 4 3 +--R - 616%i cosh(x) - 84cosh(x) - 756%i cosh(x) + 368cosh(x) +--R + +--R 2 +--R - 156%i cosh(x) + 126cosh(x) + 10%i +--R * +--R 3 +--R sinh(x) +--R + +--R 10 9 8 7 +--R - cosh(x) + 16%i cosh(x) - 114cosh(x) - 200%i cosh(x) +--R + +--R 6 5 4 3 +--R - 14cosh(x) - 336%i cosh(x) + 224cosh(x) - 104%i cosh(x) +--R + +--R 2 +--R 135cosh(x) + 16%i cosh(x) + 10 +--R * +--R 2 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 2%i cosh(x) - 18cosh(x) - 42%i cosh(x) + 8cosh(x) +--R + +--R 6 5 4 3 +--R - 84%i cosh(x) + 84cosh(x) - 28%i cosh(x) + 72cosh(x) +--R + +--R 2 +--R 18%i cosh(x) + 14cosh(x) + 6%i +--R * +--R sinh(x) +--R + +--R 10 9 8 7 6 +--R - cosh(x) - 4%i cosh(x) + 3cosh(x) - 8%i cosh(x) + 14cosh(x) +--R + +--R 4 3 2 +--R 14cosh(x) + 8%i cosh(x) + 3cosh(x) + 4%i cosh(x) - 1 +--R Type: Expression Complex Integer +--E 185 + +--S 186 of 552 +t0737:= csch(x)/(a+b*sinh(x))^2 +--R +--R +--R csch(x) +--R (181) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 186 + +--S 187 of 552 +r0737:= -acoth(cosh(x))/a^2+2*b*atanh((b-a*tanh(1/2*x))/_ + (a^2+b^2)^(1/2))/(a^2+b^2)^(3/2)+2*b*_ + atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^2/(a^2+b^2)^(1/2)+_ + b^2*cosh(x)/a/(a^2+b^2)/(a+b*sinh(x)) +--R +--R +--R (182) +--R x +--R a tanh(-) - b +--R 4 2 2 3 3 2 +--R ((- 2b - 4a b )sinh(x) - 2a b - 4a b)atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R 3 2 2 3 | 2 2 +--R ((- b - a b)sinh(x) - a b - a )\|b + a acoth(cosh(x)) +--R + +--R +-------+ +--R 2 | 2 2 +--R a b cosh(x)\|b + a +--R / +--R +-------+ +--R 2 3 4 3 2 5 | 2 2 +--R ((a b + a b)sinh(x) + a b + a )\|b + a +--R Type: Expression Integer +--E 187 + +--S 188 of 552 +a0737:= integrate(t0737,x) +--R +--R +--R (183) +--R 4 2 2 2 4 2 2 3 3 +--R (b + 2a b )sinh(x) + ((2b + 4a b )cosh(x) + 2a b + 4a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (b + 2a b )cosh(x) + (2a b + 4a b)cosh(x) - b - 2a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 3 2 2 3 2 2 3 +--R (- b - a b)sinh(x) + ((- 2b - 2a b)cosh(x) - 2a b - 2a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (- b - a b)cosh(x) + (- 2a b - 2a )cosh(x) + b + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 3 2 2 3 2 2 3 +--R (b + a b)sinh(x) + ((2b + 2a b)cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 3 2 2 2 3 3 2 +--R (b + a b)cosh(x) + (2a b + 2a )cosh(x) - b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R +-------+ +--R 2 2 2 | 2 2 +--R (- 2a b sinh(x) - 2a b cosh(x) + 2a b )\|b + a +--R / +--R 2 3 4 2 2 3 4 3 2 5 +--R (a b + a b)sinh(x) + ((2a b + 2a b)cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) - a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 188 + +--S 189 of 552 +m0737:= a0737-r0737 +--R +--R +--R (184) +--R 5 2 3 3 5 2 3 4 3 2 2 +--R (b + 2a b )sinh(x) + ((2b + 4a b )cosh(x) + 3a b + 6a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 4 +--R ((b + 2a b )cosh(x) + (4a b + 8a b )cosh(x) - b + 4a b)sinh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (a b + 2a b )cosh(x) + (2a b + 4a b)cosh(x) - a b - 2a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 4 2 2 3 +--R (- b - a b )sinh(x) +--R + +--R 4 2 2 3 3 2 +--R ((- 2b - 2a b )cosh(x) - 3a b - 3a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 4 +--R ((- b - a b )cosh(x) + (- 4a b - 4a b)cosh(x) + b - a b - 2a ) +--R * +--R sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (- a b - a b)cosh(x) + (- 2a b - 2a )cosh(x) + a b + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 4 2 2 3 4 2 2 3 3 2 +--R (b + a b )sinh(x) + ((2b + 2a b )cosh(x) + 3a b + 3a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 4 +--R ((b + a b )cosh(x) + (4a b + 4a b)cosh(x) - b + a b + 2a ) +--R * +--R sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) - a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R 5 2 3 3 +--R (2b + 4a b )sinh(x) +--R + +--R 5 2 3 4 3 2 2 +--R ((4b + 8a b )cosh(x) + 6a b + 12a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 4 +--R ((2b + 4a b )cosh(x) + (8a b + 16a b )cosh(x) - 2b + 8a b)sinh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (2a b + 4a b )cosh(x) + (4a b + 8a b)cosh(x) - 2a b - 4a b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 4 2 2 3 4 2 2 3 3 2 +--R (b + a b )sinh(x) + ((2b + 2a b )cosh(x) + 3a b + 3a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 4 +--R ((b + a b )cosh(x) + (4a b + 4a b)cosh(x) - b + a b + 2a ) +--R * +--R sinh(x) +--R + +--R 3 3 2 2 2 4 3 3 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) - a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a acoth(cosh(x)) +--R + +--R 3 2 2 2 +--R (- a b cosh(x) - 2a b )sinh(x) +--R + +--R 3 2 2 2 3 3 3 3 +--R (- 2a b cosh(x) - 4a b cosh(x) + 2a b - 2a b)sinh(x) - a b cosh(x) +--R + +--R 2 2 2 3 3 2 2 +--R - 2a b cosh(x) + (a b - 2a b)cosh(x) + 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 2 4 4 2 3 2 4 4 2 3 3 5 2 +--R (a b + a b )sinh(x) + ((2a b + 2a b )cosh(x) + 3a b + 3a b)sinh(x) +--R + +--R 2 4 4 2 2 3 3 5 2 4 4 2 6 +--R ((a b + a b )cosh(x) + (4a b + 4a b)cosh(x) - a b + a b + 2a ) +--R * +--R sinh(x) +--R + +--R 3 3 5 2 4 2 6 3 3 5 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) - a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 189 + +--S 190 of 552 +--d0737:= D(m0737,x) +--E 190 + +--S 191 of 552 +t0738:= csch(x)^2/(a+b*sinh(x))^2 +--R +--R +--R 2 +--R csch(x) +--R (185) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 191 + +--S 192 of 552 +r0738:= 2*b*acoth(cosh(x))/a^3-2*b^2*atanh((b-a*tanh(1/2*x))/_ + (a^2+b^2)^(1/2))/a/(a^2+b^2)^(3/2)-_ + 4*b^2*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^3/(a^2+b^2)^(1/2)-_ + coth(x)/a^2-b^3*cosh(x)/a^2/(a^2+b^2)/(a+b*sinh(x)) +--R +--R +--R (186) +--R x +--R a tanh(-) - b +--R 5 2 3 4 3 2 2 +--R ((4b + 6a b )sinh(x) + 4a b + 6a b )atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R 4 2 2 3 3 | 2 2 +--R ((2b + 2a b )sinh(x) + 2a b + 2a b)\|b + a acoth(cosh(x)) +--R + +--R 3 3 2 2 4 3 +--R ((- a b - a b)coth(x)sinh(x) + (- a b - a )coth(x) - a b cosh(x)) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R +-------+ +--R 3 3 5 4 2 6 | 2 2 +--R ((a b + a b)sinh(x) + a b + a )\|b + a +--R Type: Expression Integer +--E 192 + +--S 193 of 552 +a0738:= integrate(t0738,x) +--R +--R +--R (187) +--R 5 2 3 4 +--R (2b + 3a b )sinh(x) +--R + +--R 5 2 3 4 3 2 3 +--R ((8b + 12a b )cosh(x) + 4a b + 6a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 2 3 +--R ((12b + 18a b )cosh(x) + (12a b + 18a b )cosh(x) - 4b - 6a b ) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 3 4 3 2 2 +--R (8b + 12a b )cosh(x) + (12a b + 18a b )cosh(x) +--R + +--R 5 2 3 4 3 2 +--R (- 8b - 12a b )cosh(x) - 4a b - 6a b +--R * +--R sinh(x) +--R + +--R 5 2 3 4 4 3 2 3 +--R (2b + 3a b )cosh(x) + (4a b + 6a b )cosh(x) +--R + +--R 5 2 3 2 4 3 2 5 2 3 +--R (- 4b - 6a b )cosh(x) + (- 4a b - 6a b )cosh(x) + 2b + 3a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 4 2 2 4 4 2 2 3 3 3 +--R (2b + 2a b )sinh(x) + ((8b + 8a b )cosh(x) + 4a b + 4a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R ((12b + 12a b )cosh(x) + (12a b + 12a b)cosh(x) - 4b - 4a b ) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (8b + 8a b )cosh(x) + (12a b + 12a b)cosh(x) +--R + +--R 4 2 2 3 3 +--R (- 8b - 8a b )cosh(x) - 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (2b + 2a b )cosh(x) + (4a b + 4a b)cosh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (- 4b - 4a b )cosh(x) + (- 4a b - 4a b)cosh(x) + 2b + 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 4 2 2 4 +--R (- 2b - 2a b )sinh(x) +--R + +--R 4 2 2 3 3 3 +--R ((- 8b - 8a b )cosh(x) - 4a b - 4a b)sinh(x) +--R + +--R 4 2 2 2 3 3 4 +--R (- 12b - 12a b )cosh(x) + (- 12a b - 12a b)cosh(x) + 4b +--R + +--R 2 2 +--R 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 3 3 3 2 +--R (- 8b - 8a b )cosh(x) + (- 12a b - 12a b)cosh(x) +--R + +--R 4 2 2 3 3 +--R (8b + 8a b )cosh(x) + 4a b + 4a b +--R * +--R sinh(x) +--R + +--R 4 2 2 4 3 3 3 +--R (- 2b - 2a b )cosh(x) + (- 4a b - 4a b)cosh(x) +--R + +--R 4 2 2 2 3 3 4 2 2 +--R (4b + 4a b )cosh(x) + (4a b + 4a b)cosh(x) - 2b - 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R 2 2 3 2 2 3 3 2 +--R 2a b sinh(x) + (6a b cosh(x) - 4a b - 2a b)sinh(x) +--R + +--R 2 2 2 3 3 2 2 4 +--R (6a b cosh(x) + (- 8a b - 4a b)cosh(x) - 6a b - 4a )sinh(x) +--R + +--R 2 2 3 3 3 2 2 2 4 +--R 2a b cosh(x) + (- 4a b - 2a b)cosh(x) + (- 6a b - 4a )cosh(x) +--R + +--R 3 3 +--R 4a b + 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 3 3 5 4 3 3 5 4 2 6 3 +--R (a b + a b)sinh(x) + ((4a b + 4a b)cosh(x) + 2a b + 2a )sinh(x) +--R + +--R 3 3 5 2 4 2 6 3 3 5 2 +--R ((6a b + 6a b)cosh(x) + (6a b + 6a )cosh(x) - 2a b - 2a b)sinh(x) +--R + +--R 3 3 5 3 4 2 6 2 +--R (4a b + 4a b)cosh(x) + (6a b + 6a )cosh(x) +--R + +--R 3 3 5 4 2 6 +--R (- 4a b - 4a b)cosh(x) - 2a b - 2a +--R * +--R sinh(x) +--R + +--R 3 3 5 4 4 2 6 3 3 3 5 2 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) + (- 2a b - 2a b)cosh(x) +--R + +--R 4 2 6 3 3 5 +--R (- 2a b - 2a )cosh(x) + a b + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 193 + +--S 194 of 552 +m0738:= a0738-r0738 +--R +--R +--R (188) +--R 6 2 4 5 +--R (2b + 3a b )sinh(x) +--R + +--R 6 2 4 5 3 3 4 +--R ((8b + 12a b )cosh(x) + 6a b + 9a b )sinh(x) +--R + +--R 6 2 4 2 5 3 3 6 2 4 +--R (12b + 18a b )cosh(x) + (20a b + 30a b )cosh(x) - 4b - 2a b +--R + +--R 4 2 +--R 6a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 3 5 3 3 2 +--R (8b + 12a b )cosh(x) + (24a b + 36a b )cosh(x) +--R + +--R 6 4 2 5 3 3 +--R (- 8b + 18a b )cosh(x) - 8a b - 12a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 4 5 3 3 3 +--R (2b + 3a b )cosh(x) + (12a b + 18a b )cosh(x) +--R + +--R 6 2 4 4 2 2 5 3 3 +--R (- 4b + 6a b + 18a b )cosh(x) + (- 12a b - 18a b )cosh(x) +--R + +--R 6 2 4 4 2 +--R 2b - a b - 6a b +--R * +--R sinh(x) +--R + +--R 5 3 3 4 2 4 4 2 3 +--R (2a b + 3a b )cosh(x) + (4a b + 6a b )cosh(x) +--R + +--R 5 3 3 2 2 4 4 2 5 3 3 +--R (- 4a b - 6a b )cosh(x) + (- 4a b - 6a b )cosh(x) + 2a b + 3a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b - 2a b)sinh(x) + (- 2b - 2a b)cosh(x) - 2a b - 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 5 2 3 5 +--R (2b + 2a b )sinh(x) +--R + +--R 5 2 3 4 3 2 4 +--R ((8b + 8a b )cosh(x) + 6a b + 6a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 4 +--R ((12b + 12a b )cosh(x) + (20a b + 20a b )cosh(x) - 4b + 4a b) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 3 3 4 3 2 2 +--R (8b + 8a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 +--R (- 8b + 4a b + 12a b)cosh(x) - 8a b - 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 4 4 3 2 3 +--R (2b + 2a b )cosh(x) + (12a b + 12a b )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 +--R (- 4b + 8a b + 12a b)cosh(x) + (- 12a b - 12a b )cosh(x) +--R + +--R 5 2 3 4 +--R 2b - 2a b - 4a b +--R * +--R sinh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (2a b + 2a b )cosh(x) + (4a b + 4a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (- 4a b - 4a b )cosh(x) + (- 4a b - 4a b)cosh(x) + 2a b + 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 5 2 3 5 +--R (- 2b - 2a b )sinh(x) +--R + +--R 5 2 3 4 3 2 4 +--R ((- 8b - 8a b )cosh(x) - 6a b - 6a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 +--R (- 12b - 12a b )cosh(x) + (- 20a b - 20a b )cosh(x) + 4b +--R + +--R 4 +--R - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 3 3 4 3 2 2 +--R (- 8b - 8a b )cosh(x) + (- 24a b - 24a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 +--R (8b - 4a b - 12a b)cosh(x) + 8a b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 4 4 3 2 3 +--R (- 2b - 2a b )cosh(x) + (- 12a b - 12a b )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 +--R (4b - 8a b - 12a b)cosh(x) + (12a b + 12a b )cosh(x) - 2b +--R + +--R 2 3 4 +--R 2a b + 4a b +--R * +--R sinh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- 2a b - 2a b )cosh(x) + (- 4a b - 4a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (4a b + 4a b )cosh(x) + (4a b + 4a b)cosh(x) - 2a b - 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R 6 2 4 5 +--R (- 4b - 6a b )sinh(x) +--R + +--R 6 2 4 5 3 3 4 +--R ((- 16b - 24a b )cosh(x) - 12a b - 18a b )sinh(x) +--R + +--R 6 2 4 2 5 3 3 6 +--R (- 24b - 36a b )cosh(x) + (- 40a b - 60a b )cosh(x) + 8b +--R + +--R 2 4 4 2 +--R 4a b - 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 3 5 3 3 2 +--R (- 16b - 24a b )cosh(x) + (- 48a b - 72a b )cosh(x) +--R + +--R 6 4 2 5 3 3 +--R (16b - 36a b )cosh(x) + 16a b + 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 4 5 3 3 3 +--R (- 4b - 6a b )cosh(x) + (- 24a b - 36a b )cosh(x) +--R + +--R 6 2 4 4 2 2 5 3 3 6 +--R (8b - 12a b - 36a b )cosh(x) + (24a b + 36a b )cosh(x) - 4b +--R + +--R 2 4 4 2 +--R 2a b + 12a b +--R * +--R sinh(x) +--R + +--R 5 3 3 4 2 4 4 2 3 +--R (- 4a b - 6a b )cosh(x) + (- 8a b - 12a b )cosh(x) +--R + +--R 5 3 3 2 2 4 4 2 5 3 3 +--R (8a b + 12a b )cosh(x) + (8a b + 12a b )cosh(x) - 4a b - 6a b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 5 2 3 5 +--R (- 2b - 2a b )sinh(x) +--R + +--R 5 2 3 4 3 2 4 +--R ((- 8b - 8a b )cosh(x) - 6a b - 6a b )sinh(x) +--R + +--R 5 2 3 2 4 3 2 5 +--R (- 12b - 12a b )cosh(x) + (- 20a b - 20a b )cosh(x) + 4b +--R + +--R 4 +--R - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 3 3 4 3 2 2 +--R (- 8b - 8a b )cosh(x) + (- 24a b - 24a b )cosh(x) +--R + +--R 5 2 3 4 4 3 2 +--R (8b - 4a b - 12a b)cosh(x) + 8a b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 4 4 3 2 3 +--R (- 2b - 2a b )cosh(x) + (- 12a b - 12a b )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 +--R (4b - 8a b - 12a b)cosh(x) + (12a b + 12a b )cosh(x) - 2b +--R + +--R 2 3 4 +--R 2a b + 4a b +--R * +--R sinh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (- 2a b - 2a b )cosh(x) + (- 4a b - 4a b)cosh(x) +--R + +--R 4 3 2 2 2 3 4 4 3 2 +--R (4a b + 4a b )cosh(x) + (4a b + 4a b)cosh(x) - 2a b - 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a acoth(cosh(x)) +--R + +--R 4 3 2 5 +--R (a b + a b )coth(x)sinh(x) +--R + +--R 4 3 2 2 3 4 4 +--R ((4a b + 4a b )cosh(x) + 3a b + 3a b)coth(x) + a b cosh(x) +--R + +--R 2 3 +--R 2a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 2 2 3 4 4 +--R (6a b + 6a b )cosh(x) + (10a b + 10a b)cosh(x) - 2a b +--R + +--R 5 +--R 2a +--R * +--R coth(x) +--R + +--R 4 2 2 3 4 +--R 4a b cosh(x) + 8a b cosh(x) - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 2 3 2 3 4 2 +--R (4a b + 4a b )cosh(x) + (12a b + 12a b)cosh(x) +--R + +--R 4 3 2 5 2 3 4 +--R (- 4a b + 2a b + 6a )cosh(x) - 4a b - 4a b +--R * +--R coth(x) +--R + +--R 4 3 2 3 2 4 3 2 +--R 6a b cosh(x) + 12a b cosh(x) + (- 10a b + 2a b )cosh(x) +--R + +--R 2 3 4 +--R - 10a b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 2 4 2 3 4 3 +--R (a b + a b )cosh(x) + (6a b + 6a b)cosh(x) +--R + +--R 4 3 2 5 2 2 3 4 +--R (- 2a b + 4a b + 6a )cosh(x) + (- 6a b - 6a b)cosh(x) +--R + +--R 4 3 2 5 +--R a b - a b - 2a +--R * +--R coth(x) +--R + +--R 4 4 2 3 3 4 3 2 2 +--R 4a b cosh(x) + 8a b cosh(x) + (- 8a b + 4a b )cosh(x) +--R + +--R 2 3 4 4 3 2 5 +--R (- 16a b - 8a b)cosh(x) + 4a b - 4a b - 4a +--R * +--R sinh(x) +--R + +--R 2 3 4 4 3 2 5 3 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) +--R + +--R 2 3 4 2 3 2 5 2 3 4 +--R (- 2a b - 2a b)cosh(x) + (- 2a b - 2a )cosh(x) + a b + a b +--R * +--R coth(x) +--R + +--R 4 5 2 3 4 4 3 2 3 +--R a b cosh(x) + 2a b cosh(x) + (- 2a b + 2a b )cosh(x) +--R + +--R 2 3 4 2 4 3 2 5 2 3 4 +--R (- 6a b - 2a b)cosh(x) + (a b - 6a b - 4a )cosh(x) + 4a b + 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 3 4 5 2 5 3 4 5 2 4 3 6 4 +--R (a b + a b )sinh(x) + ((4a b + 4a b )cosh(x) + 3a b + 3a b)sinh(x) +--R + +--R 3 4 5 2 2 4 3 6 3 4 7 +--R ((6a b + 6a b )cosh(x) + (10a b + 10a b)cosh(x) - 2a b + 2a ) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 4 5 2 3 4 3 6 2 +--R (4a b + 4a b )cosh(x) + (12a b + 12a b)cosh(x) +--R + +--R 3 4 5 2 7 4 3 6 +--R (- 4a b + 2a b + 6a )cosh(x) - 4a b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 4 5 2 4 4 3 6 3 +--R (a b + a b )cosh(x) + (6a b + 6a b)cosh(x) +--R + +--R 3 4 5 2 7 2 4 3 6 3 4 +--R (- 2a b + 4a b + 6a )cosh(x) + (- 6a b - 6a b)cosh(x) + a b +--R + +--R 5 2 7 +--R - a b - 2a +--R * +--R sinh(x) +--R + +--R 4 3 6 4 5 2 7 3 4 3 6 2 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) + (- 2a b - 2a b)cosh(x) +--R + +--R 5 2 7 4 3 6 +--R (- 2a b - 2a )cosh(x) + a b + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 194 + +--S 195 of 552 +--d0738:= D(m0738,x) +--E 195 + +--S 196 of 552 +t0739:= csch(x)^3/(a+b*sinh(x))^2 +--R +--R +--R 3 +--R csch(x) +--R (189) ------------------------------ +--R 2 2 2 +--R b sinh(x) + 2a b sinh(x) + a +--R Type: Expression Integer +--E 196 + +--S 197 of 552 +r0739:= 1/2*acoth(cosh(x))/a^2-3*b^2*acoth(cosh(x))/a^4+_ + 2*b^3*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^2/(a^2+b^2)^(3/2)+_ + 6*b^3*atanh((b-a*tanh(1/2*x))/(a^2+b^2)^(1/2))/a^4/(a^2+b^2)^(1/2)+_ + 2*b*coth(x)/a^3-1/2*coth(x)*csch(x)/a^2+_ + b^4*cosh(x)/a^3/(a^2+b^2)/(a+b*sinh(x)) +--R +--R +--R (190) +--R x +--R a tanh(-) - b +--R 6 2 4 5 3 3 2 +--R ((- 12b - 16a b )sinh(x) - 12a b - 16a b )atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R 5 2 3 4 4 3 2 5 | 2 2 +--R ((- 6b - 5a b + a b)sinh(x) - 6a b - 5a b + a )\|b + a +--R * +--R acoth(cosh(x)) +--R + +--R 2 3 4 4 3 2 +--R ((- a b - a b)coth(x)csch(x) + (4a b + 4a b )coth(x))sinh(x) +--R + +--R 3 2 5 2 3 4 4 +--R (- a b - a )coth(x)csch(x) + (4a b + 4a b)coth(x) + 2a b cosh(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R +-------+ +--R 4 3 6 5 2 7 | 2 2 +--R ((2a b + 2a b)sinh(x) + 2a b + 2a )\|b + a +--R Type: Expression Integer +--E 197 + +--S 198 of 552 +a0739:= integrate(t0739,x) +--R +--R +--R (191) +--R 6 2 4 6 +--R (6b + 8a b )sinh(x) +--R + +--R 6 2 4 5 3 3 5 +--R ((36b + 48a b )cosh(x) + 12a b + 16a b )sinh(x) +--R + +--R 6 2 4 2 5 3 3 6 +--R (90b + 120a b )cosh(x) + (60a b + 80a b )cosh(x) - 18b +--R + +--R 2 4 +--R - 24a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 2 4 3 5 3 3 2 +--R (120b + 160a b )cosh(x) + (120a b + 160a b )cosh(x) +--R + +--R 6 2 4 5 3 3 +--R (- 72b - 96a b )cosh(x) - 24a b - 32a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 4 5 3 3 3 +--R (90b + 120a b )cosh(x) + (120a b + 160a b )cosh(x) +--R + +--R 6 2 4 2 5 3 3 6 +--R (- 108b - 144a b )cosh(x) + (- 72a b - 96a b )cosh(x) + 18b +--R + +--R 2 4 +--R 24a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 5 5 3 3 4 +--R (36b + 48a b )cosh(x) + (60a b + 80a b )cosh(x) +--R + +--R 6 2 4 3 5 3 3 2 +--R (- 72b - 96a b )cosh(x) + (- 72a b - 96a b )cosh(x) +--R + +--R 6 2 4 5 3 3 +--R (36b + 48a b )cosh(x) + 12a b + 16a b +--R * +--R sinh(x) +--R + +--R 6 2 4 6 5 3 3 5 +--R (6b + 8a b )cosh(x) + (12a b + 16a b )cosh(x) +--R + +--R 6 2 4 4 5 3 3 3 +--R (- 18b - 24a b )cosh(x) + (- 24a b - 32a b )cosh(x) +--R + +--R 6 2 4 2 5 3 3 6 2 4 +--R (18b + 24a b )cosh(x) + (12a b + 16a b )cosh(x) - 6b - 8a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 5 2 3 4 6 +--R (- 6b - 5a b + a b)sinh(x) +--R + +--R 5 2 3 4 4 3 2 5 5 +--R ((- 36b - 30a b + 6a b)cosh(x) - 12a b - 10a b + 2a )sinh(x) +--R + +--R 5 2 3 4 2 +--R (- 90b - 75a b + 15a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 60a b - 50a b + 10a )cosh(x) + 18b + 15a b - 3a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 3 4 3 +--R (- 120b - 100a b + 20a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (- 120a b - 100a b + 20a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (72b + 60a b - 12a b)cosh(x) + 24a b + 20a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 3 4 4 +--R (- 90b - 75a b + 15a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (- 120a b - 100a b + 20a )cosh(x) +--R + +--R 5 2 3 4 2 +--R (108b + 90a b - 18a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (72a b + 60a b - 12a )cosh(x) - 18b - 15a b + 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 4 5 +--R (- 36b - 30a b + 6a b)cosh(x) +--R + +--R 4 3 2 5 4 +--R (- 60a b - 50a b + 10a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (72b + 60a b - 12a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (72a b + 60a b - 12a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 36b - 30a b + 6a b)cosh(x) - 12a b - 10a b + 2a +--R * +--R sinh(x) +--R + +--R 5 2 3 4 6 4 3 2 5 5 +--R (- 6b - 5a b + a b)cosh(x) + (- 12a b - 10a b + 2a )cosh(x) +--R + +--R 5 2 3 4 4 4 3 2 5 3 +--R (18b + 15a b - 3a b)cosh(x) + (24a b + 20a b - 4a )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 +--R (- 18b - 15a b + 3a b)cosh(x) + (- 12a b - 10a b + 2a )cosh(x) +--R + +--R 5 2 3 4 +--R 6b + 5a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 5 2 3 4 6 +--R (6b + 5a b - a b)sinh(x) +--R + +--R 5 2 3 4 4 3 2 5 5 +--R ((36b + 30a b - 6a b)cosh(x) + 12a b + 10a b - 2a )sinh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 +--R (90b + 75a b - 15a b)cosh(x) + (60a b + 50a b - 10a )cosh(x) +--R + +--R 5 2 3 4 +--R - 18b - 15a b + 3a b +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 3 4 3 +--R (120b + 100a b - 20a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (120a b + 100a b - 20a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 72b - 60a b + 12a b)cosh(x) - 24a b - 20a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 5 2 3 4 4 +--R (90b + 75a b - 15a b)cosh(x) +--R + +--R 4 3 2 5 3 +--R (120a b + 100a b - 20a )cosh(x) +--R + +--R 5 2 3 4 2 +--R (- 108b - 90a b + 18a b)cosh(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 72a b - 60a b + 12a )cosh(x) + 18b + 15a b - 3a b +--R * +--R 2 +--R sinh(x) +--R + +--R 5 2 3 4 5 4 3 2 5 4 +--R (36b + 30a b - 6a b)cosh(x) + (60a b + 50a b - 10a )cosh(x) +--R + +--R 5 2 3 4 3 +--R (- 72b - 60a b + 12a b)cosh(x) +--R + +--R 4 3 2 5 2 +--R (- 72a b - 60a b + 12a )cosh(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (36b + 30a b - 6a b)cosh(x) + 12a b + 10a b - 2a +--R * +--R sinh(x) +--R + +--R 5 2 3 4 6 4 3 2 5 5 +--R (6b + 5a b - a b)cosh(x) + (12a b + 10a b - 2a )cosh(x) +--R + +--R 5 2 3 4 4 4 3 2 5 3 +--R (- 18b - 15a b + 3a b)cosh(x) + (- 24a b - 20a b + 4a )cosh(x) +--R + +--R 5 2 3 4 2 4 3 2 5 5 +--R (18b + 15a b - 3a b)cosh(x) + (12a b + 10a b - 2a )cosh(x) - 6b +--R + +--R 2 3 4 +--R - 5a b + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R 2 3 4 5 +--R (- 6a b - 2a b)sinh(x) +--R + +--R 2 3 4 4 3 2 5 4 +--R ((- 30a b - 10a b)cosh(x) + 12a b + 4a b - 4a )sinh(x) +--R + +--R 2 3 4 2 4 3 2 5 +--R (- 60a b - 20a b)cosh(x) + (48a b + 16a b - 16a )cosh(x) +--R + +--R 2 3 4 +--R 24a b + 16a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 3 4 3 4 3 2 5 2 +--R (- 60a b - 20a b)cosh(x) + (72a b + 24a b - 24a )cosh(x) +--R + +--R 2 3 4 4 3 2 5 +--R (72a b + 48a b)cosh(x) - 24a b - 20a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 3 4 4 4 3 2 5 3 +--R (- 30a b - 10a b)cosh(x) + (48a b + 16a b - 16a )cosh(x) +--R + +--R 2 3 4 2 4 3 2 5 +--R (72a b + 48a b)cosh(x) + (- 48a b - 40a b - 8a )cosh(x) +--R + +--R 2 3 4 +--R - 18a b - 14a b +--R * +--R sinh(x) +--R + +--R 2 3 4 5 4 3 2 5 4 +--R (- 6a b - 2a b)cosh(x) + (12a b + 4a b - 4a )cosh(x) +--R + +--R 2 3 4 3 4 3 2 5 2 +--R (24a b + 16a b)cosh(x) + (- 24a b - 20a b - 4a )cosh(x) +--R + +--R 2 3 4 4 3 2 +--R (- 18a b - 14a b)cosh(x) + 12a b + 8a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 4 3 6 6 +--R (2a b + 2a b)sinh(x) +--R + +--R 4 3 6 5 2 7 5 +--R ((12a b + 12a b)cosh(x) + 4a b + 4a )sinh(x) +--R + +--R 4 3 6 2 5 2 7 4 3 6 +--R ((30a b + 30a b)cosh(x) + (20a b + 20a )cosh(x) - 6a b - 6a b) +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 6 3 5 2 7 2 +--R (40a b + 40a b)cosh(x) + (40a b + 40a )cosh(x) +--R + +--R 4 3 6 5 2 7 +--R (- 24a b - 24a b)cosh(x) - 8a b - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 6 4 5 2 7 3 +--R (30a b + 30a b)cosh(x) + (40a b + 40a )cosh(x) +--R + +--R 4 3 6 2 5 2 7 4 3 6 +--R (- 36a b - 36a b)cosh(x) + (- 24a b - 24a )cosh(x) + 6a b + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 6 5 5 2 7 4 +--R (12a b + 12a b)cosh(x) + (20a b + 20a )cosh(x) +--R + +--R 4 3 6 3 5 2 7 2 +--R (- 24a b - 24a b)cosh(x) + (- 24a b - 24a )cosh(x) +--R + +--R 4 3 6 5 2 7 +--R (12a b + 12a b)cosh(x) + 4a b + 4a +--R * +--R sinh(x) +--R + +--R 4 3 6 6 5 2 7 5 +--R (2a b + 2a b)cosh(x) + (4a b + 4a )cosh(x) +--R + +--R 4 3 6 4 5 2 7 3 +--R (- 6a b - 6a b)cosh(x) + (- 8a b - 8a )cosh(x) +--R + +--R 4 3 6 2 5 2 7 4 3 6 +--R (6a b + 6a b)cosh(x) + (4a b + 4a )cosh(x) - 2a b - 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 198 + +--S 199 of 552 +m0739:= a0739-r0739 +--R +--R +--R (192) +--R 7 2 5 7 +--R (6b + 8a b )sinh(x) +--R + +--R 7 2 5 6 3 4 6 +--R ((36b + 48a b )cosh(x) + 18a b + 24a b )sinh(x) +--R + +--R 7 2 5 2 6 3 4 7 +--R (90b + 120a b )cosh(x) + (96a b + 128a b )cosh(x) - 18b +--R + +--R 2 5 4 3 +--R - 12a b + 16a b +--R * +--R 5 +--R sinh(x) +--R + +--R 7 2 5 3 6 3 4 2 +--R (120b + 160a b )cosh(x) + (210a b + 280a b )cosh(x) +--R + +--R 7 2 5 4 3 6 3 4 +--R (- 72b - 36a b + 80a b )cosh(x) - 42a b - 56a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 2 5 4 6 3 4 3 +--R (90b + 120a b )cosh(x) + (240a b + 320a b )cosh(x) +--R + +--R 7 2 5 4 3 2 +--R (- 108b - 24a b + 160a b )cosh(x) +--R + +--R 6 3 4 7 4 3 +--R (- 144a b - 192a b )cosh(x) + 18b - 32a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 2 5 5 6 3 4 4 +--R (36b + 48a b )cosh(x) + (150a b + 200a b )cosh(x) +--R + +--R 7 2 5 4 3 3 +--R (- 72b + 24a b + 160a b )cosh(x) +--R + +--R 6 3 4 2 7 2 5 4 3 +--R (- 180a b - 240a b )cosh(x) + (36b - 24a b - 96a b )cosh(x) +--R + +--R 6 3 4 +--R 30a b + 40a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 5 6 6 3 4 5 +--R (6b + 8a b )cosh(x) + (48a b + 64a b )cosh(x) +--R + +--R 7 2 5 4 3 4 6 3 4 3 +--R (- 18b + 36a b + 80a b )cosh(x) + (- 96a b - 128a b )cosh(x) +--R + +--R 7 2 5 4 3 2 6 3 4 7 +--R (18b - 48a b - 96a b )cosh(x) + (48a b + 64a b )cosh(x) - 6b +--R + +--R 2 5 4 3 +--R 4a b + 16a b +--R * +--R sinh(x) +--R + +--R 6 3 4 6 2 5 4 3 5 +--R (6a b + 8a b )cosh(x) + (12a b + 16a b )cosh(x) +--R + +--R 6 3 4 4 2 5 4 3 3 +--R (- 18a b - 24a b )cosh(x) + (- 24a b - 32a b )cosh(x) +--R + +--R 6 3 4 2 2 5 4 3 6 3 4 +--R (18a b + 24a b )cosh(x) + (12a b + 16a b )cosh(x) - 6a b - 8a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) + b + 2a +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 3 2 3 2 2 3 +--R (2b + 2a b)sinh(x) + (2b + 2a b)cosh(x) + 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R - b +--R + +--R 6 2 4 4 2 7 +--R (- 6b - 5a b + a b )sinh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 6 +--R ((- 36b - 30a b + 6a b )cosh(x) - 18a b - 15a b + 3a b)sinh(x) +--R + +--R 6 2 4 4 2 2 +--R (- 90b - 75a b + 15a b )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 +--R (- 96a b - 80a b + 16a b)cosh(x) + 18b + 3a b - 13a b + 2a +--R * +--R 5 +--R sinh(x) +--R + +--R 6 2 4 4 2 3 +--R (- 120b - 100a b + 20a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 210a b - 175a b + 35a b)cosh(x) +--R + +--R 6 4 2 6 5 3 3 5 +--R (72b - 62a b + 10a )cosh(x) + 42a b + 35a b - 7a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 2 4 4 2 4 +--R (- 90b - 75a b + 15a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 240a b - 200a b + 40a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 +--R (108b - 30a b - 118a b + 20a )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 +--R (144a b + 120a b - 24a b)cosh(x) - 18b + 9a b + 23a b - 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 4 2 5 +--R (- 36b - 30a b + 6a b )cosh(x) +--R + +--R 5 3 3 5 4 +--R (- 150a b - 125a b + 25a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 +--R (72b - 60a b - 112a b + 20a )cosh(x) +--R + +--R 5 3 3 5 2 +--R (180a b + 150a b - 30a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 3 3 5 +--R (- 36b + 42a b + 66a b - 12a )cosh(x) - 30a b - 25a b + 5a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 4 2 6 +--R (- 6b - 5a b + a b )cosh(x) +--R + +--R 5 3 3 5 5 +--R (- 48a b - 40a b + 8a b)cosh(x) +--R + +--R 6 2 4 4 2 6 4 +--R (18b - 45a b - 53a b + 10a )cosh(x) +--R + +--R 5 3 3 5 3 +--R (96a b + 80a b - 16a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 +--R (- 18b + 57a b + 63a b - 12a )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 +--R (- 48a b - 40a b + 8a b)cosh(x) + 6b - 7a b - 11a b + 2a +--R * +--R sinh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 5 +--R (- 6a b - 5a b + a b)cosh(x) + (- 12a b - 10a b + 2a )cosh(x) +--R + +--R 5 3 3 5 4 2 4 4 2 6 3 +--R (18a b + 15a b - 3a b)cosh(x) + (24a b + 20a b - 4a )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 6 +--R (- 18a b - 15a b + 3a b)cosh(x) + (- 12a b - 10a b + 2a )cosh(x) +--R + +--R 5 3 3 5 +--R 6a b + 5a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) + 1) +--R + +--R 6 2 4 4 2 7 +--R (6b + 5a b - a b )sinh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 6 +--R ((36b + 30a b - 6a b )cosh(x) + 18a b + 15a b - 3a b)sinh(x) +--R + +--R 6 2 4 4 2 2 +--R (90b + 75a b - 15a b )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 +--R (96a b + 80a b - 16a b)cosh(x) - 18b - 3a b + 13a b - 2a +--R * +--R 5 +--R sinh(x) +--R + +--R 6 2 4 4 2 3 +--R (120b + 100a b - 20a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (210a b + 175a b - 35a b)cosh(x) +--R + +--R 6 4 2 6 5 3 3 5 +--R (- 72b + 62a b - 10a )cosh(x) - 42a b - 35a b + 7a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 2 4 4 2 4 +--R (90b + 75a b - 15a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (240a b + 200a b - 40a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 +--R (- 108b + 30a b + 118a b - 20a )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 +--R (- 144a b - 120a b + 24a b)cosh(x) + 18b - 9a b - 23a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 4 2 5 +--R (36b + 30a b - 6a b )cosh(x) +--R + +--R 5 3 3 5 4 +--R (150a b + 125a b - 25a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 +--R (- 72b + 60a b + 112a b - 20a )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 180a b - 150a b + 30a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 3 3 5 +--R (36b - 42a b - 66a b + 12a )cosh(x) + 30a b + 25a b - 5a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 4 2 6 5 3 3 5 5 +--R (6b + 5a b - a b )cosh(x) + (48a b + 40a b - 8a b)cosh(x) +--R + +--R 6 2 4 4 2 6 4 +--R (- 18b + 45a b + 53a b - 10a )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 96a b - 80a b + 16a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 +--R (18b - 57a b - 63a b + 12a )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 +--R (48a b + 40a b - 8a b)cosh(x) - 6b + 7a b + 11a b - 2a +--R * +--R sinh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 5 +--R (6a b + 5a b - a b)cosh(x) + (12a b + 10a b - 2a )cosh(x) +--R + +--R 5 3 3 5 4 +--R (- 18a b - 15a b + 3a b)cosh(x) +--R + +--R 2 4 4 2 6 3 5 3 3 5 2 +--R (- 24a b - 20a b + 4a )cosh(x) + (18a b + 15a b - 3a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (12a b + 10a b - 2a )cosh(x) - 6a b - 5a b + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a log(sinh(x) + cosh(x) - 1) +--R + +--R 7 2 5 7 +--R (12b + 16a b )sinh(x) +--R + +--R 7 2 5 6 3 4 6 +--R ((72b + 96a b )cosh(x) + 36a b + 48a b )sinh(x) +--R + +--R 7 2 5 2 6 3 4 7 +--R (180b + 240a b )cosh(x) + (192a b + 256a b )cosh(x) - 36b +--R + +--R 2 5 4 3 +--R - 24a b + 32a b +--R * +--R 5 +--R sinh(x) +--R + +--R 7 2 5 3 6 3 4 2 +--R (240b + 320a b )cosh(x) + (420a b + 560a b )cosh(x) +--R + +--R 7 2 5 4 3 6 3 4 +--R (- 144b - 72a b + 160a b )cosh(x) - 84a b - 112a b +--R * +--R 4 +--R sinh(x) +--R + +--R 7 2 5 4 6 3 4 3 +--R (180b + 240a b )cosh(x) + (480a b + 640a b )cosh(x) +--R + +--R 7 2 5 4 3 2 +--R (- 216b - 48a b + 320a b )cosh(x) +--R + +--R 6 3 4 7 4 3 +--R (- 288a b - 384a b )cosh(x) + 36b - 64a b +--R * +--R 3 +--R sinh(x) +--R + +--R 7 2 5 5 6 3 4 4 +--R (72b + 96a b )cosh(x) + (300a b + 400a b )cosh(x) +--R + +--R 7 2 5 4 3 3 +--R (- 144b + 48a b + 320a b )cosh(x) +--R + +--R 6 3 4 2 7 2 5 4 3 +--R (- 360a b - 480a b )cosh(x) + (72b - 48a b - 192a b )cosh(x) +--R + +--R 6 3 4 +--R 60a b + 80a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 5 6 6 3 4 5 +--R (12b + 16a b )cosh(x) + (96a b + 128a b )cosh(x) +--R + +--R 7 2 5 4 3 4 +--R (- 36b + 72a b + 160a b )cosh(x) +--R + +--R 6 3 4 3 7 2 5 4 3 2 +--R (- 192a b - 256a b )cosh(x) + (36b - 96a b - 192a b )cosh(x) +--R + +--R 6 3 4 7 2 5 4 3 +--R (96a b + 128a b )cosh(x) - 12b + 8a b + 32a b +--R * +--R sinh(x) +--R + +--R 6 3 4 6 2 5 4 3 5 +--R (12a b + 16a b )cosh(x) + (24a b + 32a b )cosh(x) +--R + +--R 6 3 4 4 2 5 4 3 3 +--R (- 36a b - 48a b )cosh(x) + (- 48a b - 64a b )cosh(x) +--R + +--R 6 3 4 2 2 5 4 3 6 3 4 +--R (36a b + 48a b )cosh(x) + (24a b + 32a b )cosh(x) - 12a b - 16a b +--R * +--R x +--R a tanh(-) - b +--R 2 +--R atanh(-------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 6 2 4 4 2 7 +--R (6b + 5a b - a b )sinh(x) +--R + +--R 6 2 4 4 2 5 3 3 5 6 +--R ((36b + 30a b - 6a b )cosh(x) + 18a b + 15a b - 3a b)sinh(x) +--R + +--R 6 2 4 4 2 2 +--R (90b + 75a b - 15a b )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 +--R (96a b + 80a b - 16a b)cosh(x) - 18b - 3a b + 13a b - 2a +--R * +--R 5 +--R sinh(x) +--R + +--R 6 2 4 4 2 3 +--R (120b + 100a b - 20a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (210a b + 175a b - 35a b)cosh(x) +--R + +--R 6 4 2 6 5 3 3 5 +--R (- 72b + 62a b - 10a )cosh(x) - 42a b - 35a b + 7a b +--R * +--R 4 +--R sinh(x) +--R + +--R 6 2 4 4 2 4 +--R (90b + 75a b - 15a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (240a b + 200a b - 40a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 +--R (- 108b + 30a b + 118a b - 20a )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 +--R (- 144a b - 120a b + 24a b)cosh(x) + 18b - 9a b - 23a b + 4a +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 4 2 5 +--R (36b + 30a b - 6a b )cosh(x) +--R + +--R 5 3 3 5 4 +--R (150a b + 125a b - 25a b)cosh(x) +--R + +--R 6 2 4 4 2 6 3 +--R (- 72b + 60a b + 112a b - 20a )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 180a b - 150a b + 30a b)cosh(x) +--R + +--R 6 2 4 4 2 6 5 3 3 5 +--R (36b - 42a b - 66a b + 12a )cosh(x) + 30a b + 25a b - 5a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 4 2 6 5 3 3 5 5 +--R (6b + 5a b - a b )cosh(x) + (48a b + 40a b - 8a b)cosh(x) +--R + +--R 6 2 4 4 2 6 4 +--R (- 18b + 45a b + 53a b - 10a )cosh(x) +--R + +--R 5 3 3 5 3 +--R (- 96a b - 80a b + 16a b)cosh(x) +--R + +--R 6 2 4 4 2 6 2 +--R (18b - 57a b - 63a b + 12a )cosh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 +--R (48a b + 40a b - 8a b)cosh(x) - 6b + 7a b + 11a b - 2a +--R * +--R sinh(x) +--R + +--R 5 3 3 5 6 2 4 4 2 6 5 +--R (6a b + 5a b - a b)cosh(x) + (12a b + 10a b - 2a )cosh(x) +--R + +--R 5 3 3 5 4 +--R (- 18a b - 15a b + 3a b)cosh(x) +--R + +--R 2 4 4 2 6 3 5 3 3 5 2 +--R (- 24a b - 20a b + 4a )cosh(x) + (18a b + 15a b - 3a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (12a b + 10a b - 2a )cosh(x) - 6a b - 5a b + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a acoth(cosh(x)) +--R + +--R 2 4 4 2 5 3 3 7 +--R ((a b + a b )coth(x)csch(x) + (- 4a b - 4a b )coth(x))sinh(x) +--R + +--R 2 4 4 2 3 3 5 +--R ((6a b + 6a b )cosh(x) + 3a b + 3a b)coth(x)csch(x) +--R + +--R 5 3 3 2 4 4 2 +--R ((- 24a b - 24a b )cosh(x) - 12a b - 12a b )coth(x) +--R + +--R 5 2 4 4 2 +--R - 2a b cosh(x) - 6a b - 2a b +--R * +--R 6 +--R sinh(x) +--R + +--R 2 4 4 2 2 3 3 5 2 4 +--R (15a b + 15a b )cosh(x) + (16a b + 16a b)cosh(x) - 3a b +--R + +--R 4 2 6 +--R - a b + 2a +--R * +--R coth(x)csch(x) +--R + +--R 5 3 3 2 2 4 4 2 +--R (- 60a b - 60a b )cosh(x) + (- 64a b - 64a b )cosh(x) +--R + +--R 5 3 3 5 +--R 12a b + 4a b - 8a b +--R * +--R coth(x) +--R + +--R 5 2 2 4 4 2 5 3 3 +--R - 12a b cosh(x) + (- 34a b - 10a b )cosh(x) + 12a b - 2a b +--R + +--R 5 +--R - 6a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 4 4 2 3 3 3 5 2 +--R (20a b + 20a b )cosh(x) + (35a b + 35a b)cosh(x) +--R + +--R 2 4 4 2 6 3 3 5 +--R (- 12a b - 2a b + 10a )cosh(x) - 7a b - 7a b +--R * +--R coth(x)csch(x) +--R + +--R 5 3 3 3 2 4 4 2 2 +--R (- 80a b - 80a b )cosh(x) + (- 140a b - 140a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (48a b + 8a b - 40a b)cosh(x) + 28a b + 28a b +--R * +--R coth(x) +--R + +--R 5 3 2 4 4 2 2 +--R - 30a b cosh(x) + (- 80a b - 20a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (54a b - 14a b - 26a b)cosh(x) + 36a b + 20a b - 4a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 4 2 4 3 3 5 3 +--R (15a b + 15a b )cosh(x) + (40a b + 40a b)cosh(x) +--R + +--R 2 4 4 2 6 2 3 3 5 +--R (- 18a b + 2a b + 20a )cosh(x) + (- 24a b - 24a b)cosh(x) +--R + +--R 2 4 4 2 6 +--R 3a b - a b - 4a +--R * +--R coth(x)csch(x) +--R + +--R 5 3 3 4 2 4 4 2 3 +--R (- 60a b - 60a b )cosh(x) + (- 160a b - 160a b )cosh(x) +--R + +--R 5 3 3 5 2 2 4 4 2 +--R (72a b - 8a b - 80a b)cosh(x) + (96a b + 96a b )cosh(x) +--R + +--R 5 3 3 5 +--R - 12a b + 4a b + 16a b +--R * +--R coth(x) +--R + +--R 5 4 2 4 4 2 3 +--R - 40a b cosh(x) + (- 100a b - 20a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (96a b - 36a b - 44a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (128a b + 64a b - 16a )cosh(x) - 24a b + 4a b + 12a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 4 4 2 5 3 3 5 4 +--R (6a b + 6a b )cosh(x) + (25a b + 25a b)cosh(x) +--R + +--R 2 4 4 2 6 3 +--R (- 12a b + 8a b + 20a )cosh(x) +--R + +--R 3 3 5 2 2 4 4 2 6 +--R (- 30a b - 30a b)cosh(x) + (6a b - 6a b - 12a )cosh(x) +--R + +--R 3 3 5 +--R 5a b + 5a b +--R * +--R coth(x)csch(x) +--R + +--R 5 3 3 5 2 4 4 2 4 +--R (- 24a b - 24a b )cosh(x) + (- 100a b - 100a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (48a b - 32a b - 80a b)cosh(x) +--R + +--R 2 4 4 2 2 +--R (120a b + 120a b )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 +--R (- 24a b + 24a b + 48a b)cosh(x) - 20a b - 20a b +--R * +--R coth(x) +--R + +--R 5 5 2 4 4 2 4 +--R - 30a b cosh(x) + (- 70a b - 10a b )cosh(x) +--R + +--R 5 3 3 5 3 +--R (84a b - 44a b - 36a b)cosh(x) +--R + +--R 2 4 4 2 6 2 +--R (168a b + 72a b - 24a )cosh(x) +--R + +--R 5 3 3 5 2 4 4 2 6 +--R (- 54a b + 32a b + 40a b)cosh(x) - 42a b - 34a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 4 2 6 3 3 5 5 +--R (a b + a b )cosh(x) + (8a b + 8a b)cosh(x) +--R + +--R 2 4 4 2 6 4 3 3 5 3 +--R (- 3a b + 7a b + 10a )cosh(x) + (- 16a b - 16a b)cosh(x) +--R + +--R 2 4 4 2 6 2 3 3 5 2 4 +--R (3a b - 9a b - 12a )cosh(x) + (8a b + 8a b)cosh(x) - a b +--R + +--R 4 2 6 +--R a b + 2a +--R * +--R coth(x)csch(x) +--R + +--R 5 3 3 6 2 4 4 2 5 +--R (- 4a b - 4a b )cosh(x) + (- 32a b - 32a b )cosh(x) +--R + +--R 5 3 3 5 4 2 4 4 2 3 +--R (12a b - 28a b - 40a b)cosh(x) + (64a b + 64a b )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 12a b + 36a b + 48a b)cosh(x) +--R + +--R 2 4 4 2 5 3 3 5 +--R (- 32a b - 32a b )cosh(x) + 4a b - 4a b - 8a b +--R * +--R coth(x) +--R + +--R 5 6 2 4 4 2 5 +--R - 12a b cosh(x) + (- 26a b - 2a b )cosh(x) +--R + +--R 5 3 3 5 4 +--R (36a b - 26a b - 14a b)cosh(x) +--R + +--R 2 4 4 2 6 3 +--R (96a b + 32a b - 16a )cosh(x) +--R + +--R 5 3 3 5 2 +--R (- 36a b + 52a b + 44a b)cosh(x) +--R + +--R 2 4 4 2 6 5 3 3 5 +--R (- 70a b - 54a b - 8a )cosh(x) + 12a b - 10a b - 14a b +--R * +--R sinh(x) +--R + +--R 3 3 5 6 4 2 6 5 +--R (a b + a b)cosh(x) + (2a b + 2a )cosh(x) +--R + +--R 3 3 5 4 4 2 6 3 +--R (- 3a b - 3a b)cosh(x) + (- 4a b - 4a )cosh(x) +--R + +--R 3 3 5 2 4 2 6 3 3 5 +--R (3a b + 3a b)cosh(x) + (2a b + 2a )cosh(x) - a b - a b +--R * +--R coth(x)csch(x) +--R + +--R 2 4 4 2 6 3 3 5 5 +--R (- 4a b - 4a b )cosh(x) + (- 8a b - 8a b)cosh(x) +--R + +--R 2 4 4 2 4 3 3 5 3 +--R (12a b + 12a b )cosh(x) + (16a b + 16a b)cosh(x) +--R + +--R 2 4 4 2 2 3 3 5 2 4 +--R (- 12a b - 12a b )cosh(x) + (- 8a b - 8a b)cosh(x) + 4a b +--R + +--R 4 2 +--R 4a b +--R * +--R coth(x) +--R + +--R 5 7 2 4 6 5 3 3 5 5 +--R - 2a b cosh(x) - 4a b cosh(x) + (6a b - 6a b - 2a b)cosh(x) +--R + +--R 2 4 4 2 6 4 5 3 3 5 3 +--R (20a b + 4a b - 4a )cosh(x) + (- 6a b + 24a b + 16a b)cosh(x) +--R + +--R 2 4 4 2 6 2 5 3 3 5 +--R (- 28a b - 20a b - 4a )cosh(x) + (2a b - 18a b - 14a b)cosh(x) +--R + +--R 2 4 4 2 +--R 12a b + 8a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 4 4 6 2 7 +--R (2a b + 2a b )sinh(x) +--R + +--R 4 4 6 2 5 3 7 6 +--R ((12a b + 12a b )cosh(x) + 6a b + 6a b)sinh(x) +--R + +--R 4 4 6 2 2 5 3 7 4 4 6 2 +--R (30a b + 30a b )cosh(x) + (32a b + 32a b)cosh(x) - 6a b - 2a b +--R + +--R 8 +--R 4a +--R * +--R 5 +--R sinh(x) +--R + +--R 4 4 6 2 3 5 3 7 2 +--R (40a b + 40a b )cosh(x) + (70a b + 70a b)cosh(x) +--R + +--R 4 4 6 2 8 5 3 7 +--R (- 24a b - 4a b + 20a )cosh(x) - 14a b - 14a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 4 6 2 4 5 3 7 3 +--R (30a b + 30a b )cosh(x) + (80a b + 80a b)cosh(x) +--R + +--R 4 4 6 2 8 2 5 3 7 +--R (- 36a b + 4a b + 40a )cosh(x) + (- 48a b - 48a b)cosh(x) +--R + +--R 4 4 6 2 8 +--R 6a b - 2a b - 8a +--R * +--R 3 +--R sinh(x) +--R + +--R 4 4 6 2 5 5 3 7 4 +--R (12a b + 12a b )cosh(x) + (50a b + 50a b)cosh(x) +--R + +--R 4 4 6 2 8 3 5 3 7 2 +--R (- 24a b + 16a b + 40a )cosh(x) + (- 60a b - 60a b)cosh(x) +--R + +--R 4 4 6 2 8 5 3 7 +--R (12a b - 12a b - 24a )cosh(x) + 10a b + 10a b +--R * +--R 2 +--R sinh(x) +--R + +--R 4 4 6 2 6 5 3 7 5 +--R (2a b + 2a b )cosh(x) + (16a b + 16a b)cosh(x) +--R + +--R 4 4 6 2 8 4 5 3 7 3 +--R (- 6a b + 14a b + 20a )cosh(x) + (- 32a b - 32a b)cosh(x) +--R + +--R 4 4 6 2 8 2 5 3 7 4 4 +--R (6a b - 18a b - 24a )cosh(x) + (16a b + 16a b)cosh(x) - 2a b +--R + +--R 6 2 8 +--R 2a b + 4a +--R * +--R sinh(x) +--R + +--R 5 3 7 6 6 2 8 5 +--R (2a b + 2a b)cosh(x) + (4a b + 4a )cosh(x) +--R + +--R 5 3 7 4 6 2 8 3 +--R (- 6a b - 6a b)cosh(x) + (- 8a b - 8a )cosh(x) +--R + +--R 5 3 7 2 6 2 8 5 3 7 +--R (6a b + 6a b)cosh(x) + (4a b + 4a )cosh(x) - 2a b - 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 199 + +--S 200 of 552 +--d0739:= D(m0739,x) +--E 200 + +--S 201 of 552 +t0740:= csch(x)/(%i+sinh(x))^2 +--R +--R +--R csch(x) +--R (193) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 201 + +--S 202 of 552 +r0740:= acoth(cosh(x))-4*cosh(x)/(3-3*%i*sinh(x))+1/3*cosh(x)/(%i+sinh(x))^2 +--R +--R +--R (194) +--R 2 +--R (3sinh(x) + 6%i sinh(x) - 3)acoth(cosh(x)) - 4%i cosh(x)sinh(x) + 5cosh(x) +--R --------------------------------------------------------------------------- +--R 2 +--R 3sinh(x) + 6%i sinh(x) - 3 +--R Type: Expression Complex Integer +--E 202 + +--S 203 of 552 +a0740:= integrate(t0740,x) +--R +--R +--R (195) +--R 3 2 +--R 3sinh(x) + (9cosh(x) + 9%i)sinh(x) +--R + +--R 2 3 2 +--R (9cosh(x) + 18%i cosh(x) - 9)sinh(x) + 3cosh(x) + 9%i cosh(x) +--R + +--R - 9cosh(x) - 3%i +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 3 2 +--R - 3sinh(x) + (- 9cosh(x) - 9%i)sinh(x) +--R + +--R 2 3 2 +--R (- 9cosh(x) - 18%i cosh(x) + 9)sinh(x) - 3cosh(x) - 9%i cosh(x) +--R + +--R 9cosh(x) + 3%i +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 2 2 +--R - 6sinh(x) + (- 12cosh(x) - 18%i)sinh(x) - 6cosh(x) - 18%i cosh(x) + 8 +--R / +--R 3 2 +--R 3sinh(x) + (9cosh(x) + 9%i)sinh(x) +--R + +--R 2 3 2 +--R (9cosh(x) + 18%i cosh(x) - 9)sinh(x) + 3cosh(x) + 9%i cosh(x) +--R + +--R - 9cosh(x) - 3%i +--R Type: Union(Expression Complex Integer,...) +--E 203 + +--S 204 of 552 +m0740:= a0740-r0740 +--R +--R +--R (196) +--R 5 4 +--R 3sinh(x) + (9cosh(x) + 15%i)sinh(x) +--R + +--R 2 3 +--R (9cosh(x) + 36%i cosh(x) - 30)sinh(x) +--R + +--R 3 2 2 +--R (3cosh(x) + 27%i cosh(x) - 54cosh(x) - 30%i)sinh(x) +--R + +--R 3 2 3 +--R (6%i cosh(x) - 27cosh(x) - 36%i cosh(x) + 15)sinh(x) - 3cosh(x) +--R + +--R 2 +--R - 9%i cosh(x) + 9cosh(x) + 3%i +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 5 4 +--R - 3sinh(x) + (- 9cosh(x) - 15%i)sinh(x) +--R + +--R 2 3 +--R (- 9cosh(x) - 36%i cosh(x) + 30)sinh(x) +--R + +--R 3 2 2 +--R (- 3cosh(x) - 27%i cosh(x) + 54cosh(x) + 30%i)sinh(x) +--R + +--R 3 2 3 +--R (- 6%i cosh(x) + 27cosh(x) + 36%i cosh(x) - 15)sinh(x) + 3cosh(x) +--R + +--R 2 +--R 9%i cosh(x) - 9cosh(x) - 3%i +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 5 4 +--R - 3sinh(x) + (- 9cosh(x) - 15%i)sinh(x) +--R + +--R 2 3 +--R (- 9cosh(x) - 36%i cosh(x) + 30)sinh(x) +--R + +--R 3 2 2 +--R (- 3cosh(x) - 27%i cosh(x) + 54cosh(x) + 30%i)sinh(x) +--R + +--R 3 2 3 +--R (- 6%i cosh(x) + 27cosh(x) + 36%i cosh(x) - 15)sinh(x) + 3cosh(x) +--R + +--R 2 +--R 9%i cosh(x) - 9cosh(x) - 3%i +--R * +--R acoth(cosh(x)) +--R + +--R 4 2 3 +--R (4%i cosh(x) - 6)sinh(x) + (12%i cosh(x) - 29cosh(x) - 30%i)sinh(x) +--R + +--R 3 2 2 +--R (12%i cosh(x) - 45cosh(x) - 69%i cosh(x) + 50)sinh(x) +--R + +--R 4 3 2 +--R (4%i cosh(x) - 27cosh(x) - 54%i cosh(x) + 67cosh(x) + 34%i)sinh(x) +--R + +--R 4 3 2 +--R - 5cosh(x) - 15%i cosh(x) + 21cosh(x) + 23%i cosh(x) - 8 +--R / +--R 5 4 +--R 3sinh(x) + (9cosh(x) + 15%i)sinh(x) +--R + +--R 2 3 +--R (9cosh(x) + 36%i cosh(x) - 30)sinh(x) +--R + +--R 3 2 2 +--R (3cosh(x) + 27%i cosh(x) - 54cosh(x) - 30%i)sinh(x) +--R + +--R 3 2 3 +--R (6%i cosh(x) - 27cosh(x) - 36%i cosh(x) + 15)sinh(x) - 3cosh(x) +--R + +--R 2 +--R - 9%i cosh(x) + 9cosh(x) + 3%i +--R Type: Expression Complex Integer +--E 204 + +--S 205 of 552 +d0740:= D(m0740,x) +--R +--R +--R (197) +--R 10 2 9 +--R 3sinh(x) + (4%i cosh(x) + 18cosh(x) + 17%i)sinh(x) +--R + +--R 3 2 8 +--R (24%i cosh(x) + 20cosh(x) + 90%i cosh(x) - 41)sinh(x) +--R + +--R 4 3 2 7 +--R (56%i cosh(x) - 74cosh(x) + 130%i cosh(x) - 184cosh(x) - 57%i)sinh(x) +--R + +--R 5 4 3 2 +--R 56%i cosh(x) - 228cosh(x) - 78%i cosh(x) - 209cosh(x) +--R + +--R - 200%i cosh(x) + 29 +--R * +--R 6 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 206cosh(x) - 356%i cosh(x) + 120cosh(x) - 97%i cosh(x) +--R + +--R 50cosh(x) - 39%i +--R * +--R 5 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 56%i cosh(x) + 38cosh(x) - 218%i cosh(x) + 301cosh(x) +--R + +--R 3 2 +--R 272%i cosh(x) - 128cosh(x) - 190%i cosh(x) + 65 +--R * +--R 4 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 56%i cosh(x) + 210cosh(x) + 190%i cosh(x) - 56cosh(x) +--R + +--R 4 3 2 +--R 181%i cosh(x) - 278cosh(x) - 288%i cosh(x) + 244cosh(x) + 33%i +--R * +--R 3 +--R sinh(x) +--R + +--R 9 8 7 6 +--R - 24%i cosh(x) + 161cosh(x) + 310%i cosh(x) - 355cosh(x) +--R + +--R 5 4 3 2 +--R - 256%i cosh(x) - 33cosh(x) - 106%i cosh(x) + 235cosh(x) +--R + +--R 100%i cosh(x) - 8 +--R * +--R 2 +--R sinh(x) +--R + +--R 10 9 8 7 +--R - 4%i cosh(x) + 52cosh(x) + 147%i cosh(x) - 232cosh(x) +--R + +--R 6 5 4 3 +--R - 283%i cosh(x) + 180cosh(x) + 79%i cosh(x) + 8cosh(x) +--R + +--R 2 +--R 63%i cosh(x) - 8cosh(x) - 2%i +--R * +--R sinh(x) +--R + +--R 10 9 8 7 6 +--R 6cosh(x) + 24%i cosh(x) - 48cosh(x) - 72%i cosh(x) + 84cosh(x) +--R + +--R 5 4 2 +--R 48%i cosh(x) - 48cosh(x) + 6cosh(x) +--R / +--R 2 9 +--R (3cosh(x) - 3)sinh(x) +--R + +--R 3 2 8 +--R (18cosh(x) + 21%i cosh(x) - 18cosh(x) - 21%i)sinh(x) +--R + +--R 4 3 2 7 +--R (45cosh(x) + 114%i cosh(x) - 111cosh(x) - 114%i cosh(x) + 66)sinh(x) +--R + +--R 5 4 3 2 +--R 60cosh(x) + 255%i cosh(x) - 378cosh(x) - 381%i cosh(x) +--R + +--R 318cosh(x) + 126%i +--R * +--R 6 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 45cosh(x) + 300%i cosh(x) - 666cosh(x) - 822%i cosh(x) +--R + +--R 2 +--R 789cosh(x) + 522%i cosh(x) - 168 +--R * +--R 5 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 18cosh(x) + 195%i cosh(x) - 642cosh(x) - 1050%i cosh(x) +--R + +--R 3 2 +--R 1194cosh(x) + 1023%i cosh(x) - 570cosh(x) - 168%i +--R * +--R 4 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 3cosh(x) + 66%i cosh(x) - 339cosh(x) - 762%i cosh(x) +--R + +--R 4 3 2 +--R 1071cosh(x) + 1134%i cosh(x) - 861cosh(x) - 438%i cosh(x) + 126 +--R * +--R 3 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 9%i cosh(x) - 90cosh(x) - 297%i cosh(x) + 534cosh(x) +--R + +--R 4 3 2 +--R 693%i cosh(x) - 678cosh(x) - 471%i cosh(x) + 234cosh(x) + 66%i +--R * +--R 2 +--R sinh(x) +--R + +--R 8 7 6 5 +--R - 9cosh(x) - 54%i cosh(x) + 132cosh(x) + 210%i cosh(x) +--R + +--R 4 3 2 +--R - 258cosh(x) - 234%i cosh(x) + 156cosh(x) + 78%i cosh(x) - 21 +--R * +--R sinh(x) +--R + +--R 8 7 6 5 4 +--R - 3%i cosh(x) + 12cosh(x) + 24%i cosh(x) - 36cosh(x) - 42%i cosh(x) +--R + +--R 3 2 +--R 36cosh(x) + 24%i cosh(x) - 12cosh(x) - 3%i +--R Type: Expression Complex Integer +--E 205 + +--S 206 of 552 +t0741:= csch(x)^2/(%i+sinh(x))^2 +--R +--R +--R 2 +--R csch(x) +--R (198) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 206 + +--S 207 of 552 +r0741:= 2*%i*acoth(cosh(x))+coth(x)-7*%i*cosh(x)/(3-3*%i*sinh(x))+_ + 1/3*%i*cosh(x)/(%i+sinh(x))^2 +--R +--R +--R (199) +--R 2 2 +--R (2%i sinh(x) - 4sinh(x) - 2%i)acoth(cosh(x)) + coth(x)sinh(x) +--R + +--R 7 8 +--R (2%i coth(x) + - cosh(x))sinh(x) - coth(x) + - %i cosh(x) +--R 3 3 +--R / +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Fraction Integer +--E 207 + +--S 208 of 552 +a0741:= integrate(t0741,x) +--R +--R +--R (200) +--R 5 4 +--R 6%i sinh(x) + (30%i cosh(x) - 18)sinh(x) +--R + +--R 2 3 +--R (60%i cosh(x) - 72cosh(x) - 24%i)sinh(x) +--R + +--R 3 2 2 +--R (60%i cosh(x) - 108cosh(x) - 72%i cosh(x) + 24)sinh(x) +--R + +--R 4 3 2 +--R (30%i cosh(x) - 72cosh(x) - 72%i cosh(x) + 48cosh(x) + 18%i) +--R * +--R sinh(x) +--R + +--R 5 4 3 2 +--R 6%i cosh(x) - 18cosh(x) - 24%i cosh(x) + 24cosh(x) + 18%i cosh(x) +--R + +--R - 6 +--R * +--R sinh(x) + cosh(x) + 1 +--R log(---------------------) +--R sinh(x) + cosh(x) - 1 +--R + +--R 4 3 +--R - 12%i sinh(x) + (- 48%i cosh(x) + 36)sinh(x) +--R + +--R 2 2 +--R (- 72%i cosh(x) + 108cosh(x) + 44%i)sinh(x) +--R + +--R 3 2 +--R (- 48%i cosh(x) + 108cosh(x) + 88%i cosh(x) - 48)sinh(x) +--R + +--R 4 3 2 +--R - 12%i cosh(x) + 36cosh(x) + 44%i cosh(x) - 48cosh(x) - 20%i +--R / +--R 5 4 +--R 3sinh(x) + (15cosh(x) + 9%i)sinh(x) +--R + +--R 2 3 +--R (30cosh(x) + 36%i cosh(x) - 12)sinh(x) +--R + +--R 3 2 2 +--R (30cosh(x) + 54%i cosh(x) - 36cosh(x) - 12%i)sinh(x) +--R + +--R 4 3 2 +--R (15cosh(x) + 36%i cosh(x) - 36cosh(x) - 24%i cosh(x) + 9)sinh(x) +--R + +--R 5 4 3 2 +--R 3cosh(x) + 9%i cosh(x) - 12cosh(x) - 12%i cosh(x) + 9cosh(x) + 3%i +--R Type: Union(Expression Complex Integer,...) +--E 208 + +--S 209 of 552 +m0741:= a0741-r0741 +--R +--R +--R (201) +--R 7 6 +--R 2%i sinh(x) + (10%i cosh(x) - 10)sinh(x) +--R + +--R 2 5 +--R (20%i cosh(x) - 44cosh(x) - 22%i)sinh(x) +--R + +--R 3 2 4 +--R (20%i cosh(x) - 76cosh(x) - 82%i cosh(x) + 30)sinh(x) +--R + +--R 4 3 2 +--R (10%i cosh(x) - 64cosh(x) - 116%i cosh(x) + 88cosh(x) + 30%i) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 2%i cosh(x) - 26cosh(x) - 76%i cosh(x) + 92cosh(x) +--R + +--R 62%i cosh(x) - 22 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 4cosh(x) - 22%i cosh(x) + 40cosh(x) + 40%i cosh(x) +--R + +--R - 28cosh(x) - 10%i +--R * +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 2%i cosh(x) + 6cosh(x) + 8%i cosh(x) - 8cosh(x) - 6%i cosh(x) + 2 +--R * +--R sinh(x) + cosh(x) + 1 +--R log(---------------------) +--R sinh(x) + cosh(x) - 1 +--R + +--R 7 6 +--R - 2%i sinh(x) + (- 10%i cosh(x) + 10)sinh(x) +--R + +--R 2 5 +--R (- 20%i cosh(x) + 44cosh(x) + 22%i)sinh(x) +--R + +--R 3 2 4 +--R (- 20%i cosh(x) + 76cosh(x) + 82%i cosh(x) - 30)sinh(x) +--R + +--R 4 3 2 +--R (- 10%i cosh(x) + 64cosh(x) + 116%i cosh(x) - 88cosh(x) - 30%i) +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 2%i cosh(x) + 26cosh(x) + 76%i cosh(x) - 92cosh(x) +--R + +--R - 62%i cosh(x) + 22 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 4cosh(x) + 22%i cosh(x) - 40cosh(x) - 40%i cosh(x) +--R + +--R 28cosh(x) + 10%i +--R * +--R sinh(x) +--R + +--R 5 4 3 2 +--R 2%i cosh(x) - 6cosh(x) - 8%i cosh(x) + 8cosh(x) + 6%i cosh(x) - 2 +--R * +--R acoth(cosh(x)) +--R + +--R 7 7 6 +--R - coth(x)sinh(x) + ((- 5cosh(x) - 5%i)coth(x) - - cosh(x) - 4%i)sinh(x) +--R 3 +--R + +--R 2 35 2 +--R (- 10cosh(x) - 22%i cosh(x) + 11)coth(x) - -- cosh(x) +--R 3 +--R + +--R 77 +--R - -- %i cosh(x) + 20 +--R 3 +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 +--R (- 10cosh(x) - 38%i cosh(x) + 41cosh(x) + 15%i)coth(x) +--R + +--R 70 3 196 2 256 128 +--R - -- cosh(x) - --- %i cosh(x) + --- cosh(x) + --- %i +--R 3 3 3 3 +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 2 +--R (- 5cosh(x) - 32%i cosh(x) + 58cosh(x) + 44%i cosh(x) - 15)coth(x) +--R + +--R 70 4 254 3 2 412 172 +--R - -- cosh(x) - --- %i cosh(x) + 144cosh(x) + --- %i cosh(x) - --- +--R 3 3 3 3 +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - cosh(x) - 13%i cosh(x) + 38cosh(x) + 46%i cosh(x) +--R + +--R - 31cosh(x) - 11%i +--R * +--R coth(x) +--R + +--R 35 5 176 4 3 484 2 +--R - -- cosh(x) - --- %i cosh(x) + 120cosh(x) + --- %i cosh(x) +--R 3 3 3 +--R + +--R 385 160 +--R - --- cosh(x) - --- %i +--R 3 3 +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 2%i cosh(x) + 11cosh(x) + 20%i cosh(x) - 20cosh(x) +--R + +--R - 14%i cosh(x) + 5 +--R * +--R coth(x) +--R + +--R 7 6 61 5 148 4 244 3 +--R - - cosh(x) - -- %i cosh(x) + --- cosh(x) + --- %i cosh(x) +--R 3 3 3 3 +--R + +--R 281 2 215 88 +--R - --- cosh(x) - --- %i cosh(x) + -- +--R 3 3 3 +--R * +--R sinh(x) +--R + +--R 5 4 3 2 +--R (cosh(x) + 3%i cosh(x) - 4cosh(x) - 4%i cosh(x) + 3cosh(x) + %i) +--R * +--R coth(x) +--R + +--R 8 6 5 44 4 68 3 +--R - - %i cosh(x) + 8cosh(x) + -- %i cosh(x) - -- cosh(x) +--R 3 3 3 +--R + +--R 68 2 56 20 +--R - -- %i cosh(x) + -- cosh(x) + -- %i +--R 3 3 3 +--R / +--R 7 6 +--R sinh(x) + (5cosh(x) + 5%i)sinh(x) +--R + +--R 2 5 +--R (10cosh(x) + 22%i cosh(x) - 11)sinh(x) +--R + +--R 3 2 4 +--R (10cosh(x) + 38%i cosh(x) - 41cosh(x) - 15%i)sinh(x) +--R + +--R 4 3 2 3 +--R (5cosh(x) + 32%i cosh(x) - 58cosh(x) - 44%i cosh(x) + 15)sinh(x) +--R + +--R 5 4 3 2 +--R cosh(x) + 13%i cosh(x) - 38cosh(x) - 46%i cosh(x) + 31cosh(x) +--R + +--R 11%i +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 2%i cosh(x) - 11cosh(x) - 20%i cosh(x) + 20cosh(x) + 14%i cosh(x) +--R + +--R - 5 +--R * +--R sinh(x) +--R + +--R 5 4 3 2 +--R - cosh(x) - 3%i cosh(x) + 4cosh(x) + 4%i cosh(x) - 3cosh(x) - %i +--R Type: Expression Complex Fraction Integer +--E 209 + +--S 210 of 552 +d0741:= D(m0741,x) +--R +--R +--R (202) +--R 12 +--R 2%i sinh(x) +--R + +--R 2 2 10 2 32 11 +--R ((cosh(x) - 1)coth(x) - -- cosh(x) + 16%i cosh(x) - --)sinh(x) +--R 3 3 +--R + +--R 3 2 2 80 3 +--R (8cosh(x) + 7%i cosh(x) - 8cosh(x) - 7%i)coth(x) - -- cosh(x) +--R 3 +--R + +--R 104 2 232 74 +--R --- %i cosh(x) - --- cosh(x) - -- %i +--R 3 3 3 +--R * +--R 10 +--R sinh(x) +--R + +--R 4 3 2 2 +--R (28cosh(x) + 52%i cosh(x) - 51cosh(x) - 52%i cosh(x) + 23)coth(x) +--R + +--R 4 136 3 542 2 464 101 +--R - 91cosh(x) - --- %i cosh(x) - --- cosh(x) - --- %i cosh(x) + --- +--R 3 3 3 3 +--R * +--R 9 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 56cosh(x) + 168%i cosh(x) - 212cosh(x) - 217%i cosh(x) +--R + +--R 156cosh(x) + 49%i +--R * +--R 2 +--R coth(x) +--R + +--R 5 1055 4 56 3 878 2 +--R - 168cosh(x) - ---- %i cosh(x) - -- cosh(x) - --- %i cosh(x) +--R 3 3 3 +--R + +--R 488 85 +--R --- cosh(x) + -- %i +--R 3 3 +--R * +--R 8 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 70cosh(x) + 308%i cosh(x) - 526cosh(x) - 604%i cosh(x) +--R + +--R 2 +--R 534cosh(x) + 296%i cosh(x) - 78 +--R * +--R 2 +--R coth(x) +--R + +--R 6 2140 5 4 3 +--R - 168cosh(x) - ---- %i cosh(x) + 668cosh(x) + 80%i cosh(x) +--R 3 +--R + +--R 2 196 +--R 144cosh(x) + --- %i cosh(x) - 20 +--R 3 +--R * +--R 7 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 56cosh(x) + 350%i cosh(x) - 804cosh(x) - 1110%i cosh(x) +--R + +--R 3 2 +--R 1156cosh(x) + 858%i cosh(x) - 408cosh(x) - 98%i +--R * +--R 2 +--R coth(x) +--R + +--R 7 2072 6 3980 5 3176 4 +--R - 56cosh(x) - ---- %i cosh(x) + ---- cosh(x) + ---- %i cosh(x) +--R 3 3 3 +--R + +--R 1576 3 2 116 +--R - ---- cosh(x) - 216%i cosh(x) + --- cosh(x) - 16%i +--R 3 3 +--R * +--R 6 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 28cosh(x) + 252%i cosh(x) - 778cosh(x) - 1328%i cosh(x) +--R + +--R 4 3 2 +--R 1638cosh(x) + 1508%i cosh(x) - 986cosh(x) - 432%i cosh(x) + 98 +--R * +--R 2 +--R coth(x) +--R + +--R 8 652 7 3272 6 4628 5 +--R 70cosh(x) - --- %i cosh(x) + ---- cosh(x) + ---- %i cosh(x) +--R 3 3 3 +--R + +--R 4 2812 3 1408 2 +--R - 1404cosh(x) - ---- %i cosh(x) + ---- cosh(x) + 60%i cosh(x) - 10 +--R 3 3 +--R * +--R 5 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 8cosh(x) + 112%i cosh(x) - 476cosh(x) - 1022%i cosh(x) +--R + +--R 5 4 3 2 +--R 1504cosh(x) + 1678%i cosh(x) - 1388cosh(x) - 846%i cosh(x) +--R + +--R 352cosh(x) + 78%i +--R * +--R 2 +--R coth(x) +--R + +--R 9 664 8 7 6 +--R 104cosh(x) + --- %i cosh(x) + 196cosh(x) + 812%i cosh(x) +--R 3 +--R + +--R 3740 5 3688 4 2836 3 1204 2 +--R - ---- cosh(x) - ---- %i cosh(x) + ---- cosh(x) + ---- %i cosh(x) +--R 3 3 3 3 +--R + +--R 284 136 +--R - --- cosh(x) - --- %i +--R 3 3 +--R * +--R 4 +--R sinh(x) +--R + +--R 10 9 8 7 +--R cosh(x) + 28%i cosh(x) - 177cosh(x) - 492%i cosh(x) +--R + +--R 6 5 4 3 +--R 870cosh(x) + 1164%i cosh(x) - 1182cosh(x) - 916%i cosh(x) +--R + +--R 2 +--R 537cosh(x) + 216%i cosh(x) - 49 +--R * +--R 2 +--R coth(x) +--R + +--R 10 860 9 1076 8 488 7 +--R 62cosh(x) + --- %i cosh(x) - ---- cosh(x) - --- %i cosh(x) +--R 3 3 3 +--R + +--R 6 5 1976 4 1720 3 +--R - 212cosh(x) - 552%i cosh(x) + ---- cosh(x) + ---- %i cosh(x) +--R 3 3 +--R + +--R 686 2 436 140 +--R - --- cosh(x) - --- %i cosh(x) + --- +--R 3 3 3 +--R * +--R 3 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 3%i cosh(x) - 36cosh(x) - 139%i cosh(x) + 300cosh(x) +--R + +--R 6 5 4 3 +--R 478%i cosh(x) - 588cosh(x) - 558%i cosh(x) + 420cosh(x) +--R + +--R 2 +--R 239%i cosh(x) - 96cosh(x) - 23%i +--R * +--R 2 +--R coth(x) +--R + +--R 56 11 424 10 916 9 1190 8 +--R -- cosh(x) + --- %i cosh(x) - --- cosh(x) - ---- %i cosh(x) +--R 3 3 3 3 +--R + +--R 1096 7 496 6 32 5 620 4 +--R ---- cosh(x) + --- %i cosh(x) - -- cosh(x) + --- %i cosh(x) +--R 3 3 3 3 +--R + +--R 512 3 424 2 308 74 +--R - --- cosh(x) - --- %i cosh(x) + --- cosh(x) + -- %i +--R 3 3 3 3 +--R * +--R 2 +--R sinh(x) +--R + +--R 10 9 8 7 +--R - 3cosh(x) - 20%i cosh(x) + 55cosh(x) + 104%i cosh(x) +--R + +--R 6 5 4 3 +--R - 154cosh(x) - 176%i cosh(x) + 162cosh(x) + 120%i cosh(x) +--R + +--R 2 +--R - 67cosh(x) - 28%i cosh(x) + 7 +--R * +--R 2 +--R coth(x) +--R + +--R 7 12 100 11 298 10 524 9 +--R - cosh(x) + --- %i cosh(x) - --- cosh(x) - --- %i cosh(x) +--R 3 3 3 3 +--R + +--R 715 8 688 7 572 6 304 5 +--R --- cosh(x) + --- %i cosh(x) - --- cosh(x) - --- %i cosh(x) +--R 3 3 3 3 +--R + +--R 11 4 52 3 182 2 92 23 +--R - -- cosh(x) - -- %i cosh(x) + --- cosh(x) + -- %i cosh(x) - -- +--R 3 3 3 3 3 +--R * +--R sinh(x) +--R + +--R 10 9 8 7 +--R - %i cosh(x) + 4cosh(x) + 9%i cosh(x) - 16cosh(x) +--R + +--R 6 5 4 3 +--R - 22%i cosh(x) + 24cosh(x) + 22%i cosh(x) - 16cosh(x) +--R + +--R 2 +--R - 9%i cosh(x) + 4cosh(x) + %i +--R * +--R 2 +--R coth(x) +--R + +--R 12 11 10 9 8 +--R 3%i cosh(x) - 12cosh(x) - 26%i cosh(x) + 44cosh(x) + 57%i cosh(x) +--R + +--R 7 6 5 4 3 +--R - 56cosh(x) - 60%i cosh(x) + 24cosh(x) + 21%i cosh(x) + 4cosh(x) +--R + +--R 2 +--R 6%i cosh(x) - 4cosh(x) - %i +--R / +--R 2 11 +--R (cosh(x) - 1)sinh(x) +--R + +--R 3 2 10 +--R (8cosh(x) + 7%i cosh(x) - 8cosh(x) - 7%i)sinh(x) +--R + +--R 4 3 2 9 +--R (28cosh(x) + 52%i cosh(x) - 51cosh(x) - 52%i cosh(x) + 23)sinh(x) +--R + +--R 5 4 3 2 +--R 56cosh(x) + 168%i cosh(x) - 212cosh(x) - 217%i cosh(x) +--R + +--R 156cosh(x) + 49%i +--R * +--R 8 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 70cosh(x) + 308%i cosh(x) - 526cosh(x) - 604%i cosh(x) +--R + +--R 2 +--R 534cosh(x) + 296%i cosh(x) - 78 +--R * +--R 7 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 56cosh(x) + 350%i cosh(x) - 804cosh(x) - 1110%i cosh(x) +--R + +--R 3 2 +--R 1156cosh(x) + 858%i cosh(x) - 408cosh(x) - 98%i +--R * +--R 6 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 28cosh(x) + 252%i cosh(x) - 778cosh(x) - 1328%i cosh(x) +--R + +--R 4 3 2 +--R 1638cosh(x) + 1508%i cosh(x) - 986cosh(x) - 432%i cosh(x) + 98 +--R * +--R 5 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 8cosh(x) + 112%i cosh(x) - 476cosh(x) - 1022%i cosh(x) +--R + +--R 5 4 3 2 +--R 1504cosh(x) + 1678%i cosh(x) - 1388cosh(x) - 846%i cosh(x) +--R + +--R 352cosh(x) + 78%i +--R * +--R 4 +--R sinh(x) +--R + +--R 10 9 8 7 +--R cosh(x) + 28%i cosh(x) - 177cosh(x) - 492%i cosh(x) +--R + +--R 6 5 4 3 +--R 870cosh(x) + 1164%i cosh(x) - 1182cosh(x) - 916%i cosh(x) +--R + +--R 2 +--R 537cosh(x) + 216%i cosh(x) - 49 +--R * +--R 3 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 3%i cosh(x) - 36cosh(x) - 139%i cosh(x) + 300cosh(x) +--R + +--R 6 5 4 3 +--R 478%i cosh(x) - 588cosh(x) - 558%i cosh(x) + 420cosh(x) +--R + +--R 2 +--R 239%i cosh(x) - 96cosh(x) - 23%i +--R * +--R 2 +--R sinh(x) +--R + +--R 10 9 8 7 +--R - 3cosh(x) - 20%i cosh(x) + 55cosh(x) + 104%i cosh(x) +--R + +--R 6 5 4 3 +--R - 154cosh(x) - 176%i cosh(x) + 162cosh(x) + 120%i cosh(x) +--R + +--R 2 +--R - 67cosh(x) - 28%i cosh(x) + 7 +--R * +--R sinh(x) +--R + +--R 10 9 8 7 6 +--R - %i cosh(x) + 4cosh(x) + 9%i cosh(x) - 16cosh(x) - 22%i cosh(x) +--R + +--R 5 4 3 2 +--R 24cosh(x) + 22%i cosh(x) - 16cosh(x) - 9%i cosh(x) + 4cosh(x) + %i +--R Type: Expression Complex Fraction Integer +--E 210 + +--S 211 of 552 +t0742:= csch(x)^3/(%i+sinh(x))^2 +--R +--R +--R 3 +--R csch(x) +--R (203) -------------------------- +--R 2 +--R sinh(x) + 2%i sinh(x) - 1 +--R Type: Expression Complex Integer +--E 211 + +--S 212 of 552 +r0742:= -7/2*acoth(cosh(x))+2*%i*coth(x)+1/2*coth(x)*csch(x)+_ + 10*cosh(x)/(3-3*%i*sinh(x))-1/3*cosh(x)/(%i+sinh(x))^2 +--R +--R +--R (204) +--R 2 +--R (- 21sinh(x) - 42%i sinh(x) + 21)acoth(cosh(x)) +--R + +--R 2 +--R (3coth(x)csch(x) + 12%i coth(x))sinh(x) +--R + +--R (6%i coth(x)csch(x) - 24coth(x) + 20%i cosh(x))sinh(x) - 3coth(x)csch(x) +--R + +--R - 12%i coth(x) - 22cosh(x) +--R / +--R 2 +--R 6sinh(x) + 12%i sinh(x) - 6 +--R Type: Expression Complex Integer +--E 212 + +--S 213 of 552 +a0742:= integrate(t0742,x) +--R +--R +--R (205) +--R 7 6 +--R - 21sinh(x) + (- 147cosh(x) - 63%i)sinh(x) +--R + +--R 2 5 +--R (- 441cosh(x) - 378%i cosh(x) + 105)sinh(x) +--R + +--R 3 2 4 +--R (- 735cosh(x) - 945%i cosh(x) + 525cosh(x) + 147%i)sinh(x) +--R + +--R 4 3 2 +--R - 735cosh(x) - 1260%i cosh(x) + 1050cosh(x) + 588%i cosh(x) +--R + +--R - 147 +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 441cosh(x) - 945%i cosh(x) + 1050cosh(x) + 882%i cosh(x) +--R + +--R - 441cosh(x) - 105%i +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 147cosh(x) - 378%i cosh(x) + 525cosh(x) + 588%i cosh(x) +--R + +--R 2 +--R - 441cosh(x) - 210%i cosh(x) + 63 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 21cosh(x) - 63%i cosh(x) + 105cosh(x) + 147%i cosh(x) +--R + +--R 3 2 +--R - 147cosh(x) - 105%i cosh(x) + 63cosh(x) + 21%i +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 7 6 +--R 21sinh(x) + (147cosh(x) + 63%i)sinh(x) +--R + +--R 2 5 +--R (441cosh(x) + 378%i cosh(x) - 105)sinh(x) +--R + +--R 3 2 4 +--R (735cosh(x) + 945%i cosh(x) - 525cosh(x) - 147%i)sinh(x) +--R + +--R 4 3 2 +--R 735cosh(x) + 1260%i cosh(x) - 1050cosh(x) - 588%i cosh(x) +--R + +--R 147 +--R * +--R 3 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 441cosh(x) + 945%i cosh(x) - 1050cosh(x) - 882%i cosh(x) +--R + +--R 441cosh(x) + 105%i +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 147cosh(x) + 378%i cosh(x) - 525cosh(x) - 588%i cosh(x) +--R + +--R 2 +--R 441cosh(x) + 210%i cosh(x) - 63 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 +--R 21cosh(x) + 63%i cosh(x) - 105cosh(x) - 147%i cosh(x) +--R + +--R 3 2 +--R 147cosh(x) + 105%i cosh(x) - 63cosh(x) - 21%i +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 6 5 +--R 42sinh(x) + (252cosh(x) + 126%i)sinh(x) +--R + +--R 2 4 +--R (630cosh(x) + 630%i cosh(x) - 196)sinh(x) +--R + +--R 3 2 3 +--R (840cosh(x) + 1260%i cosh(x) - 784cosh(x) - 252%i)sinh(x) +--R + +--R 4 3 2 +--R (630cosh(x) + 1260%i cosh(x) - 1176cosh(x) - 756%i cosh(x) + 194) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 252cosh(x) + 630%i cosh(x) - 784cosh(x) - 756%i cosh(x) +--R + +--R 388cosh(x) + 150%i +--R * +--R sinh(x) +--R + +--R 6 5 4 3 2 +--R 42cosh(x) + 126%i cosh(x) - 196cosh(x) - 252%i cosh(x) + 194cosh(x) +--R + +--R 150%i cosh(x) - 64 +--R / +--R 7 6 +--R 6sinh(x) + (42cosh(x) + 18%i)sinh(x) +--R + +--R 2 5 +--R (126cosh(x) + 108%i cosh(x) - 30)sinh(x) +--R + +--R 3 2 4 +--R (210cosh(x) + 270%i cosh(x) - 150cosh(x) - 42%i)sinh(x) +--R + +--R 4 3 2 3 +--R (210cosh(x) + 360%i cosh(x) - 300cosh(x) - 168%i cosh(x) + 42)sinh(x) +--R + +--R 5 4 3 2 +--R 126cosh(x) + 270%i cosh(x) - 300cosh(x) - 252%i cosh(x) +--R + +--R 126cosh(x) + 30%i +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 42cosh(x) + 108%i cosh(x) - 150cosh(x) - 168%i cosh(x) +--R + +--R 2 +--R 126cosh(x) + 60%i cosh(x) - 18 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 6cosh(x) + 18%i cosh(x) - 30cosh(x) - 42%i cosh(x) + 42cosh(x) +--R + +--R 2 +--R 30%i cosh(x) - 18cosh(x) - 6%i +--R Type: Union(Expression Complex Integer,...) +--E 213 + +--S 214 of 552 +m0742:= a0742-r0742 +--R +--R +--R (206) +--R 9 8 +--R - 21sinh(x) + (- 147cosh(x) - 105%i)sinh(x) +--R + +--R 2 7 +--R (- 441cosh(x) - 672%i cosh(x) + 252)sinh(x) +--R + +--R 3 2 6 +--R (- 735cosh(x) - 1827%i cosh(x) + 1428cosh(x) + 420%i)sinh(x) +--R + +--R 4 3 2 +--R - 735cosh(x) - 2730%i cosh(x) + 3381cosh(x) + 2016%i cosh(x) +--R + +--R - 546 +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 441cosh(x) - 2415%i cosh(x) + 4305cosh(x) + 3927%i cosh(x) +--R + +--R - 2142cosh(x) - 546%i +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 147cosh(x) - 1260%i cosh(x) + 3150cosh(x) + 3948%i cosh(x) +--R + +--R 2 +--R - 3255cosh(x) - 1680%i cosh(x) + 420 +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 21cosh(x) - 357%i cosh(x) + 1302cosh(x) + 2142%i cosh(x) +--R + +--R 3 2 +--R - 2373cosh(x) - 1869%i cosh(x) + 924cosh(x) + 252%i +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 42%i cosh(x) + 273cosh(x) + 588%i cosh(x) - 819cosh(x) +--R + +--R 3 2 +--R - 882%i cosh(x) + 651cosh(x) + 336%i cosh(x) - 105 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 +--R 21cosh(x) + 63%i cosh(x) - 105cosh(x) - 147%i cosh(x) +--R + +--R 3 2 +--R 147cosh(x) + 105%i cosh(x) - 63cosh(x) - 21%i +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 9 8 +--R 21sinh(x) + (147cosh(x) + 105%i)sinh(x) +--R + +--R 2 7 +--R (441cosh(x) + 672%i cosh(x) - 252)sinh(x) +--R + +--R 3 2 6 +--R (735cosh(x) + 1827%i cosh(x) - 1428cosh(x) - 420%i)sinh(x) +--R + +--R 4 3 2 +--R 735cosh(x) + 2730%i cosh(x) - 3381cosh(x) - 2016%i cosh(x) +--R + +--R 546 +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 441cosh(x) + 2415%i cosh(x) - 4305cosh(x) - 3927%i cosh(x) +--R + +--R 2142cosh(x) + 546%i +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 147cosh(x) + 1260%i cosh(x) - 3150cosh(x) - 3948%i cosh(x) +--R + +--R 2 +--R 3255cosh(x) + 1680%i cosh(x) - 420 +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 21cosh(x) + 357%i cosh(x) - 1302cosh(x) - 2142%i cosh(x) +--R + +--R 3 2 +--R 2373cosh(x) + 1869%i cosh(x) - 924cosh(x) - 252%i +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 42%i cosh(x) - 273cosh(x) - 588%i cosh(x) + 819cosh(x) +--R + +--R 3 2 +--R 882%i cosh(x) - 651cosh(x) - 336%i cosh(x) + 105 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 21cosh(x) - 63%i cosh(x) + 105cosh(x) + 147%i cosh(x) +--R + +--R 3 2 +--R - 147cosh(x) - 105%i cosh(x) + 63cosh(x) + 21%i +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 9 8 +--R 21sinh(x) + (147cosh(x) + 105%i)sinh(x) +--R + +--R 2 7 +--R (441cosh(x) + 672%i cosh(x) - 252)sinh(x) +--R + +--R 3 2 6 +--R (735cosh(x) + 1827%i cosh(x) - 1428cosh(x) - 420%i)sinh(x) +--R + +--R 4 3 2 +--R 735cosh(x) + 2730%i cosh(x) - 3381cosh(x) - 2016%i cosh(x) +--R + +--R 546 +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 441cosh(x) + 2415%i cosh(x) - 4305cosh(x) - 3927%i cosh(x) +--R + +--R 2142cosh(x) + 546%i +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 147cosh(x) + 1260%i cosh(x) - 3150cosh(x) - 3948%i cosh(x) +--R + +--R 2 +--R 3255cosh(x) + 1680%i cosh(x) - 420 +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 21cosh(x) + 357%i cosh(x) - 1302cosh(x) - 2142%i cosh(x) +--R + +--R 3 2 +--R 2373cosh(x) + 1869%i cosh(x) - 924cosh(x) - 252%i +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 42%i cosh(x) - 273cosh(x) - 588%i cosh(x) + 819cosh(x) +--R + +--R 3 2 +--R 882%i cosh(x) - 651cosh(x) - 336%i cosh(x) + 105 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 21cosh(x) - 63%i cosh(x) + 105cosh(x) + 147%i cosh(x) +--R + +--R 3 2 +--R - 147cosh(x) - 105%i cosh(x) + 63cosh(x) + 21%i +--R * +--R acoth(cosh(x)) +--R + +--R 9 +--R (- 3coth(x)csch(x) - 12%i coth(x))sinh(x) +--R + +--R (- 21cosh(x) - 15%i)coth(x)csch(x) + (- 84%i cosh(x) + 60)coth(x) +--R + +--R - 20%i cosh(x) + 42 +--R * +--R 8 +--R sinh(x) +--R + +--R 2 +--R (- 63cosh(x) - 96%i cosh(x) + 36)coth(x)csch(x) +--R + +--R 2 2 +--R (- 252%i cosh(x) + 384cosh(x) + 144%i)coth(x) - 140%i cosh(x) +--R + +--R 334cosh(x) + 210%i +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 +--R (- 105cosh(x) - 261%i cosh(x) + 204cosh(x) + 60%i)coth(x)csch(x) +--R + +--R 3 2 +--R (- 420%i cosh(x) + 1044cosh(x) + 816%i cosh(x) - 240)coth(x) +--R + +--R 3 2 +--R - 420%i cosh(x) + 1144cosh(x) + 1300%i cosh(x) - 490 +--R * +--R 6 +--R sinh(x) +--R + +--R 4 3 2 +--R (- 105cosh(x) - 390%i cosh(x) + 483cosh(x) + 288%i cosh(x) - 78) +--R * +--R coth(x)csch(x) +--R + +--R 4 3 2 +--R - 420%i cosh(x) + 1560cosh(x) + 1932%i cosh(x) - 1152cosh(x) +--R + +--R - 312%i +--R * +--R coth(x) +--R + +--R 4 3 2 +--R - 700%i cosh(x) + 2202cosh(x) + 3416%i cosh(x) - 2546cosh(x) - 770%i +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 3 2 +--R - 63cosh(x) - 345%i cosh(x) + 615cosh(x) + 561%i cosh(x) +--R + +--R - 306cosh(x) - 78%i +--R * +--R coth(x)csch(x) +--R + +--R 5 4 3 2 +--R - 252%i cosh(x) + 1380cosh(x) + 2460%i cosh(x) - 2244cosh(x) +--R + +--R - 1224%i cosh(x) + 312 +--R * +--R coth(x) +--R + +--R 5 4 3 2 +--R - 700%i cosh(x) + 2600cosh(x) + 4930%i cosh(x) - 5436cosh(x) +--R + +--R - 3248%i cosh(x) + 894 +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 +--R - 21cosh(x) - 180%i cosh(x) + 450cosh(x) + 564%i cosh(x) +--R + +--R 2 +--R - 465cosh(x) - 240%i cosh(x) + 60 +--R * +--R coth(x)csch(x) +--R + +--R 6 5 4 3 +--R - 84%i cosh(x) + 720cosh(x) + 1800%i cosh(x) - 2256cosh(x) +--R + +--R 2 +--R - 1860%i cosh(x) + 960cosh(x) + 240%i +--R * +--R coth(x) +--R + +--R 6 5 4 3 +--R - 420%i cosh(x) + 1922cosh(x) + 4210%i cosh(x) - 6084cosh(x) +--R + +--R 2 +--R - 5404%i cosh(x) + 2938cosh(x) + 790%i +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 3cosh(x) - 51%i cosh(x) + 186cosh(x) + 306%i cosh(x) +--R + +--R 3 2 +--R - 339cosh(x) - 267%i cosh(x) + 132cosh(x) + 36%i +--R * +--R coth(x)csch(x) +--R + +--R 7 6 5 4 +--R - 12%i cosh(x) + 204cosh(x) + 744%i cosh(x) - 1224cosh(x) +--R + +--R 3 2 +--R - 1356%i cosh(x) + 1068cosh(x) + 528%i cosh(x) - 144 +--R * +--R coth(x) +--R + +--R 7 6 5 4 +--R - 140%i cosh(x) + 864cosh(x) + 2120%i cosh(x) - 3746cosh(x) +--R + +--R 3 2 +--R - 4424%i cosh(x) + 3544cosh(x) + 1852%i cosh(x) - 558 +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R - 6%i cosh(x) + 39cosh(x) + 84%i cosh(x) - 117cosh(x) +--R + +--R 3 2 +--R - 126%i cosh(x) + 93cosh(x) + 48%i cosh(x) - 15 +--R * +--R coth(x)csch(x) +--R + +--R 7 6 5 4 +--R 24cosh(x) + 156%i cosh(x) - 336cosh(x) - 468%i cosh(x) +--R + +--R 3 2 +--R 504cosh(x) + 372%i cosh(x) - 192cosh(x) - 60%i +--R * +--R coth(x) +--R + +--R 8 7 6 5 +--R - 20%i cosh(x) + 214cosh(x) + 580%i cosh(x) - 1194cosh(x) +--R + +--R 4 3 2 +--R - 1778%i cosh(x) + 1850cosh(x) + 1424%i cosh(x) - 774cosh(x) - 278%i +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R 3cosh(x) + 9%i cosh(x) - 15cosh(x) - 21%i cosh(x) + 21cosh(x) +--R + +--R 2 +--R 15%i cosh(x) - 9cosh(x) - 3%i +--R * +--R coth(x)csch(x) +--R + +--R 7 6 5 4 +--R 12%i cosh(x) - 36cosh(x) - 60%i cosh(x) + 84cosh(x) +--R + +--R 3 2 +--R 84%i cosh(x) - 60cosh(x) - 36%i cosh(x) + 12 +--R * +--R coth(x) +--R + +--R 8 7 6 5 4 +--R 22cosh(x) + 66%i cosh(x) - 152cosh(x) - 280%i cosh(x) + 350cosh(x) +--R + +--R 3 2 +--R 362%i cosh(x) - 260cosh(x) - 172%i cosh(x) + 64 +--R / +--R 9 8 +--R 6sinh(x) + (42cosh(x) + 30%i)sinh(x) +--R + +--R 2 7 +--R (126cosh(x) + 192%i cosh(x) - 72)sinh(x) +--R + +--R 3 2 6 +--R (210cosh(x) + 522%i cosh(x) - 408cosh(x) - 120%i)sinh(x) +--R + +--R 4 3 2 +--R (210cosh(x) + 780%i cosh(x) - 966cosh(x) - 576%i cosh(x) + 156) +--R * +--R 5 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 126cosh(x) + 690%i cosh(x) - 1230cosh(x) - 1122%i cosh(x) +--R + +--R 612cosh(x) + 156%i +--R * +--R 4 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 42cosh(x) + 360%i cosh(x) - 900cosh(x) - 1128%i cosh(x) +--R + +--R 2 +--R 930cosh(x) + 480%i cosh(x) - 120 +--R * +--R 3 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 6cosh(x) + 102%i cosh(x) - 372cosh(x) - 612%i cosh(x) +--R + +--R 3 2 +--R 678cosh(x) + 534%i cosh(x) - 264cosh(x) - 72%i +--R * +--R 2 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 12%i cosh(x) - 78cosh(x) - 168%i cosh(x) + 234cosh(x) +--R + +--R 3 2 +--R 252%i cosh(x) - 186cosh(x) - 96%i cosh(x) + 30 +--R * +--R sinh(x) +--R + +--R 7 6 5 4 3 +--R - 6cosh(x) - 18%i cosh(x) + 30cosh(x) + 42%i cosh(x) - 42cosh(x) +--R + +--R 2 +--R - 30%i cosh(x) + 18cosh(x) + 6%i +--R Type: Expression Complex Integer +--E 214 + +--S 215 of 552 +d0742:= D(m0742,x) +--R +--R +--R (207) +--R 14 +--R - 21sinh(x) +--R + +--R 2 2 2 +--R ((6cosh(x) - 6)coth(x) - 3cosh(x) + 3)csch(x) +--R + +--R 2 2 2 +--R (12%i cosh(x) - 12%i)coth(x) - 32%i cosh(x) - 210cosh(x) - 115%i +--R * +--R 13 +--R sinh(x) +--R + +--R 3 2 2 +--R (60cosh(x) + 42%i cosh(x) - 60cosh(x) - 42%i)coth(x) +--R + +--R 3 2 +--R - 30cosh(x) - 21%i cosh(x) + 30cosh(x) + 21%i +--R * +--R csch(x) +--R + +--R 3 2 2 +--R (120%i cosh(x) - 84cosh(x) - 120%i cosh(x) + 84)coth(x) +--R + +--R 3 2 +--R - 320%i cosh(x) - 739cosh(x) - 1066%i cosh(x) + 298 +--R * +--R 12 +--R sinh(x) +--R + +--R 4 3 2 +--R 270cosh(x) + 396%i cosh(x) - 414cosh(x) - 396%i cosh(x) +--R + +--R 144 +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 +--R - 135cosh(x) - 198%i cosh(x) + 207cosh(x) + 198%i cosh(x) - 72 +--R * +--R csch(x) +--R + +--R 4 3 2 +--R 540%i cosh(x) - 792cosh(x) - 828%i cosh(x) + 792cosh(x) +--R + +--R 288%i +--R * +--R 2 +--R coth(x) +--R + +--R 4 3 2 +--R - 1420%i cosh(x) - 588cosh(x) - 3781%i cosh(x) + 2478cosh(x) + 518%i +--R * +--R 11 +--R sinh(x) +--R + +--R 5 4 3 +--R 720cosh(x) + 1674%i cosh(x) - 1980cosh(x) +--R + +--R 2 +--R - 2010%i cosh(x) + 1260cosh(x) + 336%i +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 3 2 +--R - 360cosh(x) - 837%i cosh(x) + 990cosh(x) + 1005%i cosh(x) +--R + +--R - 630cosh(x) - 168%i +--R * +--R csch(x) +--R + +--R 5 4 3 2 +--R 1440%i cosh(x) - 3348cosh(x) - 3960%i cosh(x) + 4020cosh(x) +--R + +--R 2520%i cosh(x) - 672 +--R * +--R 2 +--R coth(x) +--R + +--R 5 4 3 2 +--R - 3640%i cosh(x) + 3604cosh(x) - 5284%i cosh(x) + 7727cosh(x) +--R + +--R 3674%i cosh(x) - 663 +--R * +--R 10 +--R sinh(x) +--R + +--R 6 5 4 +--R 1260cosh(x) + 4176%i cosh(x) - 6174cosh(x) +--R + +--R 3 2 +--R - 6852%i cosh(x) + 5520cosh(x) + 2676%i cosh(x) - 606 +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 4 3 +--R - 630cosh(x) - 2088%i cosh(x) + 3087cosh(x) + 3426%i cosh(x) +--R + +--R 2 +--R - 2760cosh(x) - 1338%i cosh(x) + 303 +--R * +--R csch(x) +--R + +--R 6 5 4 3 +--R 2520%i cosh(x) - 8352cosh(x) - 12348%i cosh(x) + 13704cosh(x) +--R + +--R 2 +--R 11040%i cosh(x) - 5352cosh(x) - 1212%i +--R * +--R 2 +--R coth(x) +--R + +--R 6 5 4 3 +--R - 5820%i cosh(x) + 13860cosh(x) + 3636%i cosh(x) + 8752cosh(x) +--R + +--R 2 +--R 8797%i cosh(x) - 3712cosh(x) - 565%i +--R * +--R 9 +--R sinh(x) +--R + +--R 7 6 5 +--R 1512cosh(x) + 6804%i cosh(x) - 12744cosh(x) +--R + +--R 4 3 2 +--R - 16218%i cosh(x) + 15552cosh(x) + 10296%i cosh(x) +--R + +--R - 4320cosh(x) - 882%i +--R * +--R 2 +--R coth(x) +--R + +--R 7 6 5 4 +--R - 756cosh(x) - 3402%i cosh(x) + 6372cosh(x) + 8109%i cosh(x) +--R + +--R 3 2 +--R - 7776cosh(x) - 5148%i cosh(x) + 2160cosh(x) + 441%i +--R * +--R csch(x) +--R + +--R 7 6 5 +--R 3024%i cosh(x) - 13608cosh(x) - 25488%i cosh(x) +--R + +--R 4 3 2 +--R 32436cosh(x) + 31104%i cosh(x) - 20592cosh(x) - 8640%i cosh(x) +--R + +--R 1764 +--R * +--R 2 +--R coth(x) +--R + +--R 7 6 5 4 +--R - 5664%i cosh(x) + 24138cosh(x) + 26196%i cosh(x) - 9100cosh(x) +--R + +--R 3 2 +--R 2640%i cosh(x) - 4522cosh(x) - 1836%i cosh(x) - 16 +--R * +--R 8 +--R sinh(x) +--R + +--R 8 7 6 +--R 1260cosh(x) + 7560%i cosh(x) - 17892cosh(x) +--R + +--R 5 4 3 +--R - 26760%i cosh(x) + 30060cosh(x) + 24744%i cosh(x) +--R + +--R 2 +--R - 14484cosh(x) - 5544%i cosh(x) + 1056 +--R * +--R 2 +--R coth(x) +--R + +--R 8 7 6 5 +--R - 630cosh(x) - 3780%i cosh(x) + 8946cosh(x) + 13380%i cosh(x) +--R + +--R 4 3 2 +--R - 15030cosh(x) - 12372%i cosh(x) + 7242cosh(x) +--R + +--R 2772%i cosh(x) - 528 +--R * +--R csch(x) +--R + +--R 8 7 6 +--R 2520%i cosh(x) - 15120cosh(x) - 35784%i cosh(x) +--R + +--R 5 4 3 +--R 53520cosh(x) + 60120%i cosh(x) - 49488cosh(x) +--R + +--R 2 +--R - 28968%i cosh(x) + 11088cosh(x) + 2112%i +--R * +--R 2 +--R coth(x) +--R + +--R 8 7 6 5 +--R - 2520%i cosh(x) + 23664cosh(x) + 45390%i cosh(x) - 42164cosh(x) +--R + +--R 4 3 2 +--R - 27832%i cosh(x) + 13320cosh(x) + 4618%i cosh(x) - 2380cosh(x) +--R + +--R - 924%i +--R * +--R 7 +--R sinh(x) +--R + +--R 9 8 7 +--R 720cosh(x) + 5796%i cosh(x) - 17352cosh(x) +--R + +--R 6 5 4 +--R - 30828%i cosh(x) + 40440cosh(x) + 39972%i cosh(x) +--R + +--R 3 2 +--R - 29544cosh(x) - 15996%i cosh(x) + 5736cosh(x) + 1056%i +--R * +--R 2 +--R coth(x) +--R + +--R 9 8 7 6 +--R - 360cosh(x) - 2898%i cosh(x) + 8676cosh(x) + 15414%i cosh(x) +--R + +--R 5 4 3 +--R - 20220cosh(x) - 19986%i cosh(x) + 14772cosh(x) +--R + +--R 2 +--R 7998%i cosh(x) - 2868cosh(x) - 528%i +--R * +--R csch(x) +--R + +--R 9 8 7 +--R 1440%i cosh(x) - 11592cosh(x) - 34704%i cosh(x) +--R + +--R 6 5 4 +--R 61656cosh(x) + 80880%i cosh(x) - 79944cosh(x) +--R + +--R 3 2 +--R - 59088%i cosh(x) + 31992cosh(x) + 11472%i cosh(x) - 2112 +--R * +--R 2 +--R coth(x) +--R + +--R 9 8 7 6 +--R 1200%i cosh(x) + 11067cosh(x) + 40128%i cosh(x) - 58366cosh(x) +--R + +--R 5 4 3 2 +--R - 61756%i cosh(x) + 50404cosh(x) + 31128%i cosh(x) - 15566cosh(x) +--R + +--R - 7172%i cosh(x) + 1373 +--R * +--R 6 +--R sinh(x) +--R + +--R 10 9 8 +--R 270cosh(x) + 3024%i cosh(x) - 11610cosh(x) +--R + +--R 7 6 5 +--R - 24696%i cosh(x) + 37764cosh(x) + 44136%i cosh(x) +--R + +--R 4 3 2 +--R - 39492cosh(x) - 27288%i cosh(x) + 13950cosh(x) +--R + +--R 4824%i cosh(x) - 882 +--R * +--R 2 +--R coth(x) +--R + +--R 10 9 8 +--R - 135cosh(x) - 1512%i cosh(x) + 5805cosh(x) +--R + +--R 7 6 5 +--R 12348%i cosh(x) - 18882cosh(x) - 22068%i cosh(x) +--R + +--R 4 3 2 +--R 19746cosh(x) + 13644%i cosh(x) - 6975cosh(x) - 2412%i cosh(x) +--R + +--R 441 +--R * +--R csch(x) +--R + +--R 10 9 8 7 +--R 540%i cosh(x) - 6048cosh(x) - 23220%i cosh(x) + 49392cosh(x) +--R + +--R 6 5 4 +--R 75528%i cosh(x) - 88272cosh(x) - 78984%i cosh(x) +--R + +--R 3 2 +--R 54576cosh(x) + 27900%i cosh(x) - 9648cosh(x) - 1764%i +--R * +--R 2 +--R coth(x) +--R + +--R 10 9 8 7 +--R 2760%i cosh(x) - 2370cosh(x) + 15405%i cosh(x) - 38720cosh(x) +--R + +--R 6 5 4 3 +--R - 60114%i cosh(x) + 69628cosh(x) + 61204%i cosh(x) - 40256cosh(x) +--R + +--R 2 +--R - 22778%i cosh(x) + 8358cosh(x) + 1171%i +--R * +--R 5 +--R sinh(x) +--R + +--R 11 10 9 +--R 60cosh(x) + 1026%i cosh(x) - 5244cosh(x) +--R + +--R 8 7 6 +--R - 13542%i cosh(x) + 24120cosh(x) + 33036%i cosh(x) +--R + +--R 5 4 3 +--R - 35064cosh(x) - 29484%i cosh(x) + 19404cosh(x) +--R + +--R 2 +--R 9570%i cosh(x) - 3276cosh(x) - 606%i +--R * +--R 2 +--R coth(x) +--R + +--R 11 10 9 8 +--R - 30cosh(x) - 513%i cosh(x) + 2622cosh(x) + 6771%i cosh(x) +--R + +--R 7 6 5 +--R - 12060cosh(x) - 16518%i cosh(x) + 17532cosh(x) +--R + +--R 4 3 2 +--R 14742%i cosh(x) - 9702cosh(x) - 4785%i cosh(x) + 1638cosh(x) +--R + +--R 303%i +--R * +--R csch(x) +--R + +--R 11 10 9 +--R 120%i cosh(x) - 2052cosh(x) - 10488%i cosh(x) +--R + +--R 8 7 6 +--R 27084cosh(x) + 48240%i cosh(x) - 66072cosh(x) +--R + +--R 5 4 3 +--R - 70128%i cosh(x) + 58968cosh(x) + 38808%i cosh(x) +--R + +--R 2 +--R - 19140cosh(x) - 6552%i cosh(x) + 1212 +--R * +--R 2 +--R coth(x) +--R + +--R 11 10 9 8 +--R 2080%i cosh(x) - 7119cosh(x) - 4474%i cosh(x) - 6538cosh(x) +--R + +--R 7 6 5 4 +--R - 25328%i cosh(x) + 46338cosh(x) + 57796%i cosh(x) - 51912cosh(x) +--R + +--R 3 2 +--R - 36480%i cosh(x) + 20077cosh(x) + 5734%i cosh(x) - 846 +--R * +--R 4 +--R sinh(x) +--R + +--R 12 11 10 +--R 6cosh(x) + 204%i cosh(x) - 1518cosh(x) +--R + +--R 9 8 7 +--R - 4908%i cosh(x) + 10212cosh(x) + 16296%i cosh(x) +--R + +--R 6 5 4 +--R - 20292cosh(x) - 20232%i cosh(x) + 16326cosh(x) +--R + +--R 3 2 +--R 10380%i cosh(x) - 5070cosh(x) - 1740%i cosh(x) + 336 +--R * +--R 2 +--R coth(x) +--R + +--R 12 11 10 9 +--R - 3cosh(x) - 102%i cosh(x) + 759cosh(x) + 2454%i cosh(x) +--R + +--R 8 7 6 +--R - 5106cosh(x) - 8148%i cosh(x) + 10146cosh(x) +--R + +--R 5 4 3 2 +--R 10116%i cosh(x) - 8163cosh(x) - 5190%i cosh(x) + 2535cosh(x) +--R + +--R 870%i cosh(x) - 168 +--R * +--R csch(x) +--R + +--R 12 11 10 9 +--R 12%i cosh(x) - 408cosh(x) - 3036%i cosh(x) + 9816cosh(x) +--R + +--R 8 7 6 +--R 20424%i cosh(x) - 32592cosh(x) - 40584%i cosh(x) +--R + +--R 5 4 3 +--R 40464cosh(x) + 32652%i cosh(x) - 20760cosh(x) +--R + +--R 2 +--R - 10140%i cosh(x) + 3480cosh(x) + 672%i +--R * +--R 2 +--R coth(x) +--R + +--R 12 11 10 9 +--R 868%i cosh(x) - 4852cosh(x) - 8329%i cosh(x) + 8630cosh(x) +--R + +--R 8 7 6 5 +--R 3130%i cosh(x) + 9968cosh(x) + 24718%i cosh(x) - 33812cosh(x) +--R + +--R 4 3 2 +--R - 30452%i cosh(x) + 23044cosh(x) + 10619%i cosh(x) - 2978cosh(x) +--R + +--R - 554%i +--R * +--R 3 +--R sinh(x) +--R + +--R 12 11 10 +--R 18%i cosh(x) - 252cosh(x) - 1098%i cosh(x) +--R + +--R 9 8 7 +--R 2700cosh(x) + 5004%i cosh(x) - 7272cosh(x) +--R + +--R 6 5 4 +--R - 8460%i cosh(x) + 8136cosh(x) + 6354%i cosh(x) +--R + +--R 3 2 +--R - 3996cosh(x) - 1962%i cosh(x) + 684cosh(x) + 144%i +--R * +--R 2 +--R coth(x) +--R + +--R 12 11 10 9 +--R - 9%i cosh(x) + 126cosh(x) + 549%i cosh(x) - 1350cosh(x) +--R + +--R 8 7 6 5 +--R - 2502%i cosh(x) + 3636cosh(x) + 4230%i cosh(x) - 4068cosh(x) +--R + +--R 4 3 2 +--R - 3177%i cosh(x) + 1998cosh(x) + 981%i cosh(x) - 342cosh(x) +--R + +--R - 72%i +--R * +--R csch(x) +--R + +--R 12 11 10 9 +--R - 36cosh(x) - 504%i cosh(x) + 2196cosh(x) + 5400%i cosh(x) +--R + +--R 8 7 6 +--R - 10008cosh(x) - 14544%i cosh(x) + 16920cosh(x) +--R + +--R 5 4 3 2 +--R 16272%i cosh(x) - 12708cosh(x) - 7992%i cosh(x) + 3924cosh(x) +--R + +--R 1368%i cosh(x) - 288 +--R * +--R 2 +--R coth(x) +--R + +--R 13 12 11 10 +--R 200%i cosh(x) - 1722cosh(x) - 4204%i cosh(x) + 6743cosh(x) +--R + +--R 9 8 7 6 +--R 8018%i cosh(x) - 5365cosh(x) + 544%i cosh(x) - 8566cosh(x) +--R + +--R 5 4 3 2 +--R - 11972%i cosh(x) + 12256cosh(x) + 8716%i cosh(x) - 3617cosh(x) +--R + +--R - 1302%i cosh(x) + 271 +--R * +--R 2 +--R sinh(x) +--R + +--R 12 11 10 +--R - 18cosh(x) - 132%i cosh(x) + 396cosh(x) +--R + +--R 9 8 7 +--R 852%i cosh(x) - 1446cosh(x) - 1944%i cosh(x) +--R + +--R 6 5 4 +--R 2184cosh(x) + 2040%i cosh(x) - 1566cosh(x) +--R + +--R 3 2 +--R - 996%i cosh(x) + 492cosh(x) + 180%i cosh(x) - 42 +--R * +--R 2 +--R coth(x) +--R + +--R 12 11 10 9 +--R 9cosh(x) + 66%i cosh(x) - 198cosh(x) - 426%i cosh(x) +--R + +--R 8 7 6 5 +--R 723cosh(x) + 972%i cosh(x) - 1092cosh(x) - 1020%i cosh(x) +--R + +--R 4 3 2 +--R 783cosh(x) + 498%i cosh(x) - 246cosh(x) - 90%i cosh(x) + 21 +--R * +--R csch(x) +--R + +--R 12 11 10 9 +--R - 36%i cosh(x) + 264cosh(x) + 792%i cosh(x) - 1704cosh(x) +--R + +--R 8 7 6 5 +--R - 2892%i cosh(x) + 3888cosh(x) + 4368%i cosh(x) - 4080cosh(x) +--R + +--R 4 3 2 +--R - 3132%i cosh(x) + 1992cosh(x) + 984%i cosh(x) - 360cosh(x) +--R + +--R - 84%i +--R * +--R 2 +--R coth(x) +--R + +--R 14 13 12 11 +--R 20%i cosh(x) - 320cosh(x) - 1006%i cosh(x) + 2016cosh(x) +--R + +--R 10 9 8 7 +--R 3181%i cosh(x) - 3636cosh(x) - 3063%i cosh(x) + 1072cosh(x) +--R + +--R 6 5 4 3 +--R - 1182%i cosh(x) + 2088cosh(x) + 2864%i cosh(x) - 1584cosh(x) +--R + +--R 2 +--R - 899%i cosh(x) + 364cosh(x) + 85%i +--R * +--R sinh(x) +--R + +--R 12 11 10 9 +--R - 6%i cosh(x) + 24cosh(x) + 60%i cosh(x) - 120cosh(x) +--R + +--R 8 7 6 5 +--R - 186%i cosh(x) + 240cosh(x) + 264%i cosh(x) - 240cosh(x) +--R + +--R 4 3 2 +--R - 186%i cosh(x) + 120cosh(x) + 60%i cosh(x) - 24cosh(x) - 6%i +--R * +--R 2 +--R coth(x) +--R + +--R 12 11 10 9 +--R 3%i cosh(x) - 12cosh(x) - 30%i cosh(x) + 60cosh(x) +--R + +--R 8 7 6 5 +--R 93%i cosh(x) - 120cosh(x) - 132%i cosh(x) + 120cosh(x) +--R + +--R 4 3 2 +--R 93%i cosh(x) - 60cosh(x) - 30%i cosh(x) + 12cosh(x) + 3%i +--R * +--R csch(x) +--R + +--R 12 11 10 9 +--R 12cosh(x) + 48%i cosh(x) - 120cosh(x) - 240%i cosh(x) +--R + +--R 8 7 6 5 +--R 372cosh(x) + 480%i cosh(x) - 528cosh(x) - 480%i cosh(x) +--R + +--R 4 3 2 +--R 372cosh(x) + 240%i cosh(x) - 120cosh(x) - 48%i cosh(x) + 12 +--R * +--R 2 +--R coth(x) +--R + +--R 14 13 12 11 +--R - 24cosh(x) - 96%i cosh(x) + 228cosh(x) + 432%i cosh(x) +--R + +--R 10 9 8 7 +--R - 624cosh(x) - 720%i cosh(x) + 684cosh(x) + 288%i cosh(x) +--R + +--R 6 5 4 3 +--R - 216cosh(x) + 192%i cosh(x) - 132cosh(x) - 144%i cosh(x) +--R + +--R 2 +--R 96cosh(x) + 48%i cosh(x) - 12 +--R / +--R 2 13 +--R (6cosh(x) - 6)sinh(x) +--R + +--R 3 2 12 +--R (60cosh(x) + 42%i cosh(x) - 60cosh(x) - 42%i)sinh(x) +--R + +--R 4 3 2 +--R (270cosh(x) + 396%i cosh(x) - 414cosh(x) - 396%i cosh(x) + 144) +--R * +--R 11 +--R sinh(x) +--R + +--R 5 4 3 2 +--R 720cosh(x) + 1674%i cosh(x) - 1980cosh(x) - 2010%i cosh(x) +--R + +--R 1260cosh(x) + 336%i +--R * +--R 10 +--R sinh(x) +--R + +--R 6 5 4 3 +--R 1260cosh(x) + 4176%i cosh(x) - 6174cosh(x) - 6852%i cosh(x) +--R + +--R 2 +--R 5520cosh(x) + 2676%i cosh(x) - 606 +--R * +--R 9 +--R sinh(x) +--R + +--R 7 6 5 4 +--R 1512cosh(x) + 6804%i cosh(x) - 12744cosh(x) - 16218%i cosh(x) +--R + +--R 3 2 +--R 15552cosh(x) + 10296%i cosh(x) - 4320cosh(x) - 882%i +--R * +--R 8 +--R sinh(x) +--R + +--R 8 7 6 5 +--R 1260cosh(x) + 7560%i cosh(x) - 17892cosh(x) - 26760%i cosh(x) +--R + +--R 4 3 2 +--R 30060cosh(x) + 24744%i cosh(x) - 14484cosh(x) - 5544%i cosh(x) +--R + +--R 1056 +--R * +--R 7 +--R sinh(x) +--R + +--R 9 8 7 6 +--R 720cosh(x) + 5796%i cosh(x) - 17352cosh(x) - 30828%i cosh(x) +--R + +--R 5 4 3 2 +--R 40440cosh(x) + 39972%i cosh(x) - 29544cosh(x) - 15996%i cosh(x) +--R + +--R 5736cosh(x) + 1056%i +--R * +--R 6 +--R sinh(x) +--R + +--R 10 9 8 7 +--R 270cosh(x) + 3024%i cosh(x) - 11610cosh(x) - 24696%i cosh(x) +--R + +--R 6 5 4 3 +--R 37764cosh(x) + 44136%i cosh(x) - 39492cosh(x) - 27288%i cosh(x) +--R + +--R 2 +--R 13950cosh(x) + 4824%i cosh(x) - 882 +--R * +--R 5 +--R sinh(x) +--R + +--R 11 10 9 8 +--R 60cosh(x) + 1026%i cosh(x) - 5244cosh(x) - 13542%i cosh(x) +--R + +--R 7 6 5 4 +--R 24120cosh(x) + 33036%i cosh(x) - 35064cosh(x) - 29484%i cosh(x) +--R + +--R 3 2 +--R 19404cosh(x) + 9570%i cosh(x) - 3276cosh(x) - 606%i +--R * +--R 4 +--R sinh(x) +--R + +--R 12 11 10 9 +--R 6cosh(x) + 204%i cosh(x) - 1518cosh(x) - 4908%i cosh(x) +--R + +--R 8 7 6 5 +--R 10212cosh(x) + 16296%i cosh(x) - 20292cosh(x) - 20232%i cosh(x) +--R + +--R 4 3 2 +--R 16326cosh(x) + 10380%i cosh(x) - 5070cosh(x) - 1740%i cosh(x) + 336 +--R * +--R 3 +--R sinh(x) +--R + +--R 12 11 10 9 +--R 18%i cosh(x) - 252cosh(x) - 1098%i cosh(x) + 2700cosh(x) +--R + +--R 8 7 6 5 +--R 5004%i cosh(x) - 7272cosh(x) - 8460%i cosh(x) + 8136cosh(x) +--R + +--R 4 3 2 +--R 6354%i cosh(x) - 3996cosh(x) - 1962%i cosh(x) + 684cosh(x) + 144%i +--R * +--R 2 +--R sinh(x) +--R + +--R 12 11 10 9 +--R - 18cosh(x) - 132%i cosh(x) + 396cosh(x) + 852%i cosh(x) +--R + +--R 8 7 6 5 +--R - 1446cosh(x) - 1944%i cosh(x) + 2184cosh(x) + 2040%i cosh(x) +--R + +--R 4 3 2 +--R - 1566cosh(x) - 996%i cosh(x) + 492cosh(x) + 180%i cosh(x) - 42 +--R * +--R sinh(x) +--R + +--R 12 11 10 9 +--R - 6%i cosh(x) + 24cosh(x) + 60%i cosh(x) - 120cosh(x) +--R + +--R 8 7 6 5 +--R - 186%i cosh(x) + 240cosh(x) + 264%i cosh(x) - 240cosh(x) +--R + +--R 4 3 2 +--R - 186%i cosh(x) + 120cosh(x) + 60%i cosh(x) - 24cosh(x) - 6%i +--R Type: Expression Complex Integer +--E 215 + +--S 216 of 552 +t0743:= sinh(x)^2/(a+b*cosh(x))^2 +--R +--R +--R 2 +--R sinh(x) +--R (208) ------------------------------ +--R 2 2 2 +--R b cosh(x) + 2a b cosh(x) + a +--R Type: Expression Integer +--E 216 + +--S 217 of 552 +r0743:= x/b^2-2*a*atanh((a-b)*tanh(1/2*x)/(a^2-b^2)^(1/2))/b^2/_ + (a^2-b^2)^(1/2)-sinh(x)/b/(a+b*cosh(x)) +--R +--R +--R (209) +--R x +--R (b - a)tanh(-) +--R 2 2 +--R (2a b cosh(x) + 2a )atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R | 2 2 +--R (- b sinh(x) + b x cosh(x) + a x)\|- b + a +--R / +--R +---------+ +--R 3 2 | 2 2 +--R (b cosh(x) + a b )\|- b + a +--R Type: Expression Integer +--E 217 + +--S 218 of 552 +a0743:= integrate(t0743,x) +--R +--R +--R (210) +--R [ +--R 2 2 2 +--R a b sinh(x) + (2a b cosh(x) + 2a )sinh(x) + a b cosh(x) +--R + +--R 2 +--R 2a cosh(x) + a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b + 2a b)sinh(x) + (- 2b + 2a b)cosh(x) - 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) +--R + +--R 2a cosh(x) + b +--R + +--R 2 2 +--R b x sinh(x) + (2b x cosh(x) + 2a x + 2a)sinh(x) + b x cosh(x) +--R + +--R (2a x + 2a)cosh(x) + b x + 2b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 3 2 3 2 3 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b )sinh(x) + b cosh(x) + 2a b cosh(x) +--R + +--R 3 +--R b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R , +--R +--R 2 2 2 +--R - 2a b sinh(x) + (- 4a b cosh(x) - 4a )sinh(x) - 2a b cosh(x) +--R + +--R 2 +--R - 4a cosh(x) - 2a b +--R * +--R +-------+ +--R | 2 2 +--R (b sinh(x) + b cosh(x) + a)\|b - a +--R atan(-------------------------------------) +--R 2 2 +--R b - a +--R + +--R 2 2 +--R b x sinh(x) + (2b x cosh(x) + 2a x + 2a)sinh(x) + b x cosh(x) +--R + +--R (2a x + 2a)cosh(x) + b x + 2b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R 3 2 3 2 3 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b )sinh(x) + b cosh(x) + 2a b cosh(x) +--R + +--R 3 +--R b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 218 + +--S 219 of 552 +m0743a:= a0743.1-r0743 +--R +--R +--R (211) +--R 2 2 2 +--R (a b cosh(x) + a b)sinh(x) +--R + +--R 2 2 2 3 2 3 +--R (2a b cosh(x) + 4a b cosh(x) + 2a )sinh(x) + a b cosh(x) +--R + +--R 2 2 2 3 2 +--R 3a b cosh(x) + (a b + 2a )cosh(x) + a b +--R * +--R log +--R 2 2 2 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) + b cosh(x) +--R + +--R 2 2 +--R 2a b cosh(x) - b + 2a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 2 3 +--R (- 2b + 2a b)sinh(x) + (- 2b + 2a b)cosh(x) - 2a b + 2a +--R / +--R 2 2 +--R b sinh(x) + (2b cosh(x) + 2a)sinh(x) + b cosh(x) + 2a cosh(x) +--R + +--R b +--R + +--R 2 2 2 +--R (- 2a b cosh(x) - 2a b)sinh(x) +--R + +--R 2 2 2 3 2 3 +--R (- 4a b cosh(x) - 8a b cosh(x) - 4a )sinh(x) - 2a b cosh(x) +--R + +--R 2 2 2 3 2 +--R - 6a b cosh(x) + (- 2a b - 4a )cosh(x) - 2a b +--R * +--R x +--R (b - a)tanh(-) +--R 2 +--R atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 3 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (b cosh(x) + 4a b cosh(x) + b + 2a )sinh(x) + 2a b cosh(x) +--R + +--R 2 2 +--R (2b + 2a )cosh(x) + 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 4 3 2 +--R (b cosh(x) + a b )sinh(x) +--R + +--R 4 2 3 2 2 4 3 +--R (2b cosh(x) + 4a b cosh(x) + 2a b )sinh(x) + b cosh(x) +--R + +--R 3 2 4 2 2 3 +--R 3a b cosh(x) + (b + 2a b )cosh(x) + a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 219 + +--S 220 of 552 +d0743a:= D(m0743a,x) +--R +--R +--R (212) +--R 4 3 6 +--R (- b + a b )sinh(x) +--R + +--R 4 3 3 2 2 5 +--R ((- 4b + 4a b )cosh(x) - 4a b + 4a b )sinh(x) +--R + +--R 4 3 2 3 2 2 4 3 +--R (- 5b + 4a b )cosh(x) + (- 11a b + 9a b )cosh(x) - 2b + 2a b +--R + +--R 2 2 3 +--R - 4a b + 3a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 3 2 2 2 +--R - 4a b cosh(x) + (- 8a b - 4a b )cosh(x) +--R + +--R 4 3 2 2 3 2 2 3 +--R (- 4b + 4a b - 12a b )cosh(x) - 4a b + 4a b - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 4 3 2 2 3 +--R (5b - 11a b )cosh(x) + (2a b - 26a b )cosh(x) +--R + +--R 4 3 2 2 3 2 +--R (- 4b + 2a b - 16a b - 18a b)cosh(x) +--R + +--R 3 2 2 3 4 4 3 2 2 +--R (- 10a b + 6a b - 16a b - 4a )cosh(x) - b + a b - 4a b +--R + +--R 3 4 +--R 2a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 5 3 2 2 4 +--R (4b - 8a b )cosh(x) + (4a b - 24a b )cosh(x) +--R + +--R 4 2 2 3 3 +--R (- 4b - 12a b - 24a b)cosh(x) +--R + +--R 3 3 4 2 2 2 4 3 +--R (- 12a b - 20a b - 8a )cosh(x) + (- 12a b - 8a )cosh(x) - 4a b +--R * +--R sinh(x) +--R + +--R 4 3 6 3 2 2 5 +--R (b - 2a b )cosh(x) + (a b - 7a b )cosh(x) +--R + +--R 4 2 2 3 4 +--R (- 2b - 4a b - 9a b)cosh(x) +--R + +--R 3 2 2 3 4 3 +--R (- 6a b - 2a b - 8a b - 4a )cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (b - 2a b - 8a b - 2a b - 4a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (a b - 3a b - 4a b)cosh(x) - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 3 6 4 3 3 2 2 5 +--R (- b - a b )sinh(x) + ((- 4b - 4a b )cosh(x) - 4a b - 4a b )sinh(x) +--R + +--R 4 3 2 3 2 2 4 3 +--R (- 5b - 4a b )cosh(x) + (- 11a b - 9a b )cosh(x) - 2b - 2a b +--R + +--R 2 2 3 +--R - 4a b - 3a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 3 2 2 2 +--R 4a b cosh(x) + (- 8a b + 4a b )cosh(x) +--R + +--R 4 3 2 2 3 2 2 3 +--R (- 4b - 4a b - 12a b )cosh(x) - 4a b - 4a b - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 4 3 2 2 3 +--R (5b + 11a b )cosh(x) + (2a b + 26a b )cosh(x) +--R + +--R 4 3 2 2 3 2 +--R (- 4b - 2a b - 16a b + 18a b)cosh(x) +--R + +--R 3 2 2 3 4 4 3 2 2 3 +--R (- 10a b - 6a b - 16a b + 4a )cosh(x) - b - a b - 4a b - 2a b +--R + +--R 4 +--R - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 5 3 2 2 4 +--R (4b + 8a b )cosh(x) + (4a b + 24a b )cosh(x) +--R + +--R 4 2 2 3 3 3 3 4 2 +--R (- 4b - 12a b + 24a b)cosh(x) + (- 12a b - 20a b + 8a )cosh(x) +--R + +--R 2 2 4 3 +--R (- 12a b - 8a )cosh(x) - 4a b +--R * +--R sinh(x) +--R + +--R 4 3 6 3 2 2 5 +--R (b + 2a b )cosh(x) + (a b + 7a b )cosh(x) +--R + +--R 4 2 2 3 4 3 2 2 3 4 3 +--R (- 2b - 4a b + 9a b)cosh(x) + (- 6a b + 2a b - 8a b + 4a )cosh(x) +--R + +--R 4 3 2 2 3 4 2 3 2 2 3 +--R (b + 2a b - 8a b + 2a b - 4a )cosh(x) + (a b + 3a b - 4a b)cosh(x) +--R + +--R 3 +--R a b +--R / +--R 6 5 2 5 2 4 2 4 3 3 4 +--R ((b - a b )cosh(x) + (2a b - 2a b )cosh(x) + a b - a b )sinh(x) +--R + +--R 6 5 3 5 2 4 2 +--R (4b - 4a b )cosh(x) + (12a b - 12a b )cosh(x) +--R + +--R 2 4 3 3 3 3 4 2 +--R (12a b - 12a b )cosh(x) + 4a b - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 5 2 4 3 +--R (6b - 6a b )cosh(x) + (24a b - 24a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 +--R (2b - 2a b + 34a b - 34a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 4 3 3 4 2 +--R (4a b - 4a b + 20a b - 20a b )cosh(x) + 2a b - 2a b + 4a b +--R + +--R 5 +--R - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 5 5 2 4 4 +--R (4b - 4a b )cosh(x) + (20a b - 20a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (4b - 4a b + 36a b - 36a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 +--R (12a b - 12a b + 28a b - 28a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 3 4 2 +--R (12a b - 12a b + 8a b - 8a b)cosh(x) + 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 6 5 6 5 2 4 5 +--R (b - a b )cosh(x) + (6a b - 6a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (2b - 2a b + 13a b - 13a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (8a b - 8a b + 12a b - 12a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (b - a b + 10a b - 10a b + 4a b - 4a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 4 3 3 +--R (2a b - 2a b + 4a b - 4a b )cosh(x) + a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 6 5 2 5 2 4 2 4 3 3 4 +--R ((b + a b )cosh(x) + (2a b + 2a b )cosh(x) + a b + a b )sinh(x) +--R + +--R 6 5 3 5 2 4 2 +--R (4b + 4a b )cosh(x) + (12a b + 12a b )cosh(x) +--R + +--R 2 4 3 3 3 3 4 2 +--R (12a b + 12a b )cosh(x) + 4a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 5 2 4 3 +--R (6b + 6a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 +--R (2b + 2a b + 34a b + 34a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 4 3 3 4 2 5 +--R (4a b + 4a b + 20a b + 20a b )cosh(x) + 2a b + 2a b + 4a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 5 5 2 4 4 +--R (4b + 4a b )cosh(x) + (20a b + 20a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (4b + 4a b + 36a b + 36a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 +--R (12a b + 12a b + 28a b + 28a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 3 4 2 +--R (12a b + 12a b + 8a b + 8a b)cosh(x) + 4a b + 4a b +--R * +--R sinh(x) +--R + +--R 6 5 6 5 2 4 5 +--R (b + a b )cosh(x) + (6a b + 6a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (2b + 2a b + 13a b + 13a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (8a b + 8a b + 12a b + 12a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (b + a b + 10a b + 10a b + 4a b + 4a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 4 3 3 +--R (2a b + 2a b + 4a b + 4a b )cosh(x) + a b + a b +--R Type: Expression Integer +--E 220 + +--S 221 of 552 +m0743b:= a0743.2-r0743 +--R +--R +--R (213) +--R 2 2 2 +--R (- 2a b cosh(x) - 2a b)sinh(x) +--R + +--R 2 2 2 3 2 3 +--R (- 4a b cosh(x) - 8a b cosh(x) - 4a )sinh(x) - 2a b cosh(x) +--R + +--R 2 2 2 3 2 +--R - 6a b cosh(x) + (- 2a b - 4a )cosh(x) - 2a b +--R * +--R x +--R +-------+ (b - a)tanh(-) +--R | 2 2 2 +--R \|b - a atanh(--------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 2 2 +--R (- 2a b cosh(x) - 2a b)sinh(x) +--R + +--R 2 2 2 3 2 3 +--R (- 4a b cosh(x) - 8a b cosh(x) - 4a )sinh(x) - 2a b cosh(x) +--R + +--R 2 2 2 3 2 +--R - 6a b cosh(x) + (- 2a b - 4a )cosh(x) - 2a b +--R * +--R +-------+ +--R +---------+ | 2 2 +--R | 2 2 (b sinh(x) + b cosh(x) + a)\|b - a +--R \|- b + a atan(-------------------------------------) +--R 2 2 +--R b - a +--R + +--R 2 3 2 2 +--R b sinh(x) + (2b cosh(x) + 2a b)sinh(x) +--R + +--R 2 2 2 2 2 +--R (b cosh(x) + 4a b cosh(x) + b + 2a )sinh(x) + 2a b cosh(x) +--R + +--R 2 2 +--R (2b + 2a )cosh(x) + 2a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R / +--R 4 3 2 +--R (b cosh(x) + a b )sinh(x) +--R + +--R 4 2 3 2 2 4 3 +--R (2b cosh(x) + 4a b cosh(x) + 2a b )sinh(x) + b cosh(x) +--R + +--R 3 2 4 2 2 3 +--R 3a b cosh(x) + (b + 2a b )cosh(x) + a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R Type: Expression Integer +--E 221 + +--S 222 of 552 +d0743b:= D(m0743b,x) +--R +--R +--R (214) +--R 4 3 6 +--R (- b + a b )sinh(x) +--R + +--R 4 3 3 2 2 5 +--R ((- 4b + 4a b )cosh(x) - 4a b + 4a b )sinh(x) +--R + +--R 4 3 2 3 2 2 4 3 +--R (- 5b + 4a b )cosh(x) + (- 11a b + 9a b )cosh(x) - 2b + 2a b +--R + +--R 2 2 3 +--R - 4a b + 3a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 3 2 2 2 +--R - 4a b cosh(x) + (- 8a b - 4a b )cosh(x) +--R + +--R 4 3 2 2 3 2 2 3 +--R (- 4b + 4a b - 12a b )cosh(x) - 4a b + 4a b - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 4 3 2 2 3 +--R (5b - 11a b )cosh(x) + (2a b - 26a b )cosh(x) +--R + +--R 4 3 2 2 3 2 +--R (- 4b + 2a b - 16a b - 18a b)cosh(x) +--R + +--R 3 2 2 3 4 4 3 2 2 +--R (- 10a b + 6a b - 16a b - 4a )cosh(x) - b + a b - 4a b +--R + +--R 3 4 +--R 2a b - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 5 3 2 2 4 +--R (4b - 8a b )cosh(x) + (4a b - 24a b )cosh(x) +--R + +--R 4 2 2 3 3 +--R (- 4b - 12a b - 24a b)cosh(x) +--R + +--R 3 3 4 2 2 2 4 3 +--R (- 12a b - 20a b - 8a )cosh(x) + (- 12a b - 8a )cosh(x) - 4a b +--R * +--R sinh(x) +--R + +--R 4 3 6 3 2 2 5 +--R (b - 2a b )cosh(x) + (a b - 7a b )cosh(x) +--R + +--R 4 2 2 3 4 +--R (- 2b - 4a b - 9a b)cosh(x) +--R + +--R 3 2 2 3 4 3 +--R (- 6a b - 2a b - 8a b - 4a )cosh(x) +--R + +--R 4 3 2 2 3 4 2 +--R (b - 2a b - 8a b - 2a b - 4a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (a b - 3a b - 4a b)cosh(x) - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 4 3 6 4 3 3 2 2 5 +--R (- b - a b )sinh(x) + ((- 4b - 4a b )cosh(x) - 4a b - 4a b )sinh(x) +--R + +--R 4 3 2 3 2 2 4 3 +--R (- 5b - 4a b )cosh(x) + (- 11a b - 9a b )cosh(x) - 2b - 2a b +--R + +--R 2 2 3 +--R - 4a b - 3a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 3 3 2 2 2 +--R 4a b cosh(x) + (- 8a b + 4a b )cosh(x) +--R + +--R 4 3 2 2 3 2 2 3 +--R (- 4b - 4a b - 12a b )cosh(x) - 4a b - 4a b - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 4 3 2 2 3 +--R (5b + 11a b )cosh(x) + (2a b + 26a b )cosh(x) +--R + +--R 4 3 2 2 3 2 +--R (- 4b - 2a b - 16a b + 18a b)cosh(x) +--R + +--R 3 2 2 3 4 4 3 2 2 3 +--R (- 10a b - 6a b - 16a b + 4a )cosh(x) - b - a b - 4a b - 2a b +--R + +--R 4 +--R - 4a +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 5 3 2 2 4 +--R (4b + 8a b )cosh(x) + (4a b + 24a b )cosh(x) +--R + +--R 4 2 2 3 3 3 3 4 2 +--R (- 4b - 12a b + 24a b)cosh(x) + (- 12a b - 20a b + 8a )cosh(x) +--R + +--R 2 2 4 3 +--R (- 12a b - 8a )cosh(x) - 4a b +--R * +--R sinh(x) +--R + +--R 4 3 6 3 2 2 5 +--R (b + 2a b )cosh(x) + (a b + 7a b )cosh(x) +--R + +--R 4 2 2 3 4 3 2 2 3 4 3 +--R (- 2b - 4a b + 9a b)cosh(x) + (- 6a b + 2a b - 8a b + 4a )cosh(x) +--R + +--R 4 3 2 2 3 4 2 3 2 2 3 +--R (b + 2a b - 8a b + 2a b - 4a )cosh(x) + (a b + 3a b - 4a b)cosh(x) +--R + +--R 3 +--R a b +--R / +--R 6 5 2 5 2 4 2 4 3 3 4 +--R ((b - a b )cosh(x) + (2a b - 2a b )cosh(x) + a b - a b )sinh(x) +--R + +--R 6 5 3 5 2 4 2 +--R (4b - 4a b )cosh(x) + (12a b - 12a b )cosh(x) +--R + +--R 2 4 3 3 3 3 4 2 +--R (12a b - 12a b )cosh(x) + 4a b - 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 5 2 4 3 +--R (6b - 6a b )cosh(x) + (24a b - 24a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 +--R (2b - 2a b + 34a b - 34a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 4 3 3 4 2 +--R (4a b - 4a b + 20a b - 20a b )cosh(x) + 2a b - 2a b + 4a b +--R + +--R 5 +--R - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 5 5 2 4 4 +--R (4b - 4a b )cosh(x) + (20a b - 20a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (4b - 4a b + 36a b - 36a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 +--R (12a b - 12a b + 28a b - 28a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 3 4 2 +--R (12a b - 12a b + 8a b - 8a b)cosh(x) + 4a b - 4a b +--R * +--R sinh(x) +--R + +--R 6 5 6 5 2 4 5 +--R (b - a b )cosh(x) + (6a b - 6a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (2b - 2a b + 13a b - 13a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (8a b - 8a b + 12a b - 12a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (b - a b + 10a b - 10a b + 4a b - 4a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 4 3 3 +--R (2a b - 2a b + 4a b - 4a b )cosh(x) + a b - a b +--R * +--R x 2 +--R tanh(-) +--R 2 +--R + +--R 6 5 2 5 2 4 2 4 3 3 4 +--R ((b + a b )cosh(x) + (2a b + 2a b )cosh(x) + a b + a b )sinh(x) +--R + +--R 6 5 3 5 2 4 2 +--R (4b + 4a b )cosh(x) + (12a b + 12a b )cosh(x) +--R + +--R 2 4 3 3 3 3 4 2 +--R (12a b + 12a b )cosh(x) + 4a b + 4a b +--R * +--R 3 +--R sinh(x) +--R + +--R 6 5 4 5 2 4 3 +--R (6b + 6a b )cosh(x) + (24a b + 24a b )cosh(x) +--R + +--R 6 5 2 4 3 3 2 +--R (2b + 2a b + 34a b + 34a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 4 3 3 4 2 5 +--R (4a b + 4a b + 20a b + 20a b )cosh(x) + 2a b + 2a b + 4a b + 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 6 5 5 5 2 4 4 +--R (4b + 4a b )cosh(x) + (20a b + 20a b )cosh(x) +--R + +--R 6 5 2 4 3 3 3 +--R (4b + 4a b + 36a b + 36a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 +--R (12a b + 12a b + 28a b + 28a b )cosh(x) +--R + +--R 2 4 3 3 4 2 5 3 3 4 2 +--R (12a b + 12a b + 8a b + 8a b)cosh(x) + 4a b + 4a b +--R * +--R sinh(x) +--R + +--R 6 5 6 5 2 4 5 +--R (b + a b )cosh(x) + (6a b + 6a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 +--R (2b + 2a b + 13a b + 13a b )cosh(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (8a b + 8a b + 12a b + 12a b )cosh(x) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (b + a b + 10a b + 10a b + 4a b + 4a b)cosh(x) +--R + +--R 5 2 4 3 3 4 2 2 4 3 3 +--R (2a b + 2a b + 4a b + 4a b )cosh(x) + a b + a b +--R Type: Expression Integer +--E 222 + +--S 223 of 552 +t0744:= sinh(x)^2/(1+cosh(x))^2 +--R +--R +--R 2 +--R sinh(x) +--R (215) ----------------------- +--R 2 +--R cosh(x) + 2cosh(x) + 1 +--R Type: Expression Integer +--E 223 + +--S 224 of 552 +r0744:= x-2*tanh(1/2*x) +--R +--R +--R x +--R (216) - 2tanh(-) + x +--R 2 +--R Type: Expression Integer +--E 224 + +--S 225 of 552 +a0744:= integrate(t0744,x) +--R +--R +--R x sinh(x) + x cosh(x) + x + 4 +--R (217) ----------------------------- +--R sinh(x) + cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 225 + +--S 226 of 552 +m0744:= a0744-r0744 +--R +--R +--R x +--R (2sinh(x) + 2cosh(x) + 2)tanh(-) + 4 +--R 2 +--R (218) ------------------------------------ +--R sinh(x) + cosh(x) + 1 +--R Type: Expression Integer +--E 226 + +--S 227 of 552 +d0744:= D(m0744,x) +--R +--R +--R (219) +--R 2 2 x 2 +--R (- sinh(x) + (- 2cosh(x) - 2)sinh(x) - cosh(x) - 2cosh(x) - 1)tanh(-) +--R 2 +--R + +--R 2 2 +--R sinh(x) + (2cosh(x) - 2)sinh(x) + cosh(x) - 2cosh(x) + 1 +--R / +--R 2 2 +--R sinh(x) + (2cosh(x) + 2)sinh(x) + cosh(x) + 2cosh(x) + 1 +--R Type: Expression Integer +--E 227 + +--S 228 of 552 +t0745:= sinh(x)^2/(1-cosh(x))^2 +--R +--R +--R 2 +--R sinh(x) +--R (220) ----------------------- +--R 2 +--R cosh(x) - 2cosh(x) + 1 +--R Type: Expression Integer +--E 228 + +--S 229 of 552 +r0745:= x-2*coth(1/2*x) +--R +--R +--R x +--R (221) - 2coth(-) + x +--R 2 +--R Type: Expression Integer +--E 229 + +--S 230 of 552 +a0745:= integrate(t0745,x) +--R +--R +--R x sinh(x) + x cosh(x) - x - 4 +--R (222) ----------------------------- +--R sinh(x) + cosh(x) - 1 +--R Type: Union(Expression Integer,...) +--E 230 + +--S 231 of 552 +m0745:= a0745-r0745 +--R +--R +--R x x +--R 2coth(-)sinh(x) + (2cosh(x) - 2)coth(-) - 4 +--R 2 2 +--R (223) ------------------------------------------- +--R sinh(x) + cosh(x) - 1 +--R Type: Expression Integer +--E 231 + +--S 232 of 552 +d0745:= D(m0745,x) +--R +--R +--R (224) +--R x 2 2 +--R (- coth(-) + 1)sinh(x) +--R 2 +--R + +--R x 2 +--R ((- 2cosh(x) + 2)coth(-) + 2cosh(x) + 2)sinh(x) +--R 2 +--R + +--R 2 x 2 2 +--R (- cosh(x) + 2cosh(x) - 1)coth(-) + cosh(x) + 2cosh(x) + 1 +--R 2 +--R / +--R 2 2 +--R sinh(x) + (2cosh(x) - 2)sinh(x) + cosh(x) - 2cosh(x) + 1 +--R Type: Expression Integer +--E 232 + +--S 233 of 552 +t0746:= sinh(x)^3/(1+cosh(x))^2 +--R +--R +--R 3 +--R sinh(x) +--R (225) ----------------------- +--R 2 +--R cosh(x) + 2cosh(x) + 1 +--R Type: Expression Integer +--E 233 + +--S 234 of 552 +r0746:= cosh(x)-2*log(1+cosh(x)) +--R +--R +--R (226) - 2log(cosh(x) + 1) + cosh(x) +--R Type: Expression Integer +--E 234 + +--S 235 of 552 +a0746:= integrate(t0746,x) +--R +--R +--R (227) +--R 2 +--R (- 8sinh(x) - 8cosh(x))log(sinh(x) + cosh(x) + 1) + sinh(x) +--R + +--R 2 +--R (2cosh(x) + 4x)sinh(x) + cosh(x) + 4x cosh(x) + 1 +--R / +--R 2sinh(x) + 2cosh(x) +--R Type: Union(Expression Integer,...) +--E 235 + +--S 236 of 552 +m0746:= a0746-r0746 +--R +--R +--R (228) +--R (- 8sinh(x) - 8cosh(x))log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 +--R (4sinh(x) + 4cosh(x))log(cosh(x) + 1) + sinh(x) + 4x sinh(x) - cosh(x) +--R + +--R 4x cosh(x) + 1 +--R / +--R 2sinh(x) + 2cosh(x) +--R Type: Expression Integer +--E 236 + +--S 237 of 552 +d0746:= D(m0746,x) +--R +--R +--R (229) +--R 3 2 2 +--R (- cosh(x) + 3)sinh(x) + (- cosh(x) + 2cosh(x) - 1)sinh(x) +--R + +--R 3 2 4 3 +--R (cosh(x) - 3cosh(x) - cosh(x) + 3)sinh(x) + cosh(x) - 2cosh(x) +--R + +--R 2cosh(x) - 1 +--R / +--R 2 2 3 +--R (2cosh(x) + 2)sinh(x) + (4cosh(x) + 6cosh(x) + 2)sinh(x) + 2cosh(x) +--R + +--R 2 +--R 4cosh(x) + 2cosh(x) +--R Type: Expression Integer +--E 237 + +--S 238 of 552 +t0747:= sinh(x)^3/(1-cosh(x))^2 +--R +--R +--R 3 +--R sinh(x) +--R (230) ----------------------- +--R 2 +--R cosh(x) - 2cosh(x) + 1 +--R Type: Expression Integer +--E 238 + +--S 239 of 552 +r0747:= cosh(x)+2*log(1-cosh(x)) +--R +--R +--R (231) 2log(- cosh(x) + 1) + cosh(x) +--R Type: Expression Integer +--E 239 + +--S 240 of 552 +a0747:= integrate(t0747,x) +--R +--R +--R (232) +--R 2 +--R (8sinh(x) + 8cosh(x))log(sinh(x) + cosh(x) - 1) + sinh(x) +--R + +--R 2 +--R (2cosh(x) - 4x)sinh(x) + cosh(x) - 4x cosh(x) + 1 +--R / +--R 2sinh(x) + 2cosh(x) +--R Type: Union(Expression Integer,...) +--E 240 + +--S 241 of 552 +m0747:= a0747-r0747 +--R +--R +--R (233) +--R (8sinh(x) + 8cosh(x))log(sinh(x) + cosh(x) - 1) +--R + +--R 2 +--R (- 4sinh(x) - 4cosh(x))log(- cosh(x) + 1) + sinh(x) - 4x sinh(x) +--R + +--R 2 +--R - cosh(x) - 4x cosh(x) + 1 +--R / +--R 2sinh(x) + 2cosh(x) +--R Type: Expression Integer +--E 241 + +--S 242 of 552 +d0747:= D(m0747,x) +--R +--R +--R (234) +--R 3 2 2 +--R (- cosh(x) - 3)sinh(x) + (- cosh(x) - 2cosh(x) - 1)sinh(x) +--R + +--R 3 2 4 3 +--R (cosh(x) + 3cosh(x) - cosh(x) - 3)sinh(x) + cosh(x) + 2cosh(x) +--R + +--R - 2cosh(x) - 1 +--R / +--R 2 2 3 +--R (2cosh(x) - 2)sinh(x) + (4cosh(x) - 6cosh(x) + 2)sinh(x) + 2cosh(x) +--R + +--R 2 +--R - 4cosh(x) + 2cosh(x) +--R Type: Expression Integer +--E 242 + +--S 243 of 552 +t0748:= cosh(x)^3/(1+%i*sinh(x))^3 +--R +--R +--R 3 +--R %i cosh(x) +--R (235) --------------------------------------- +--R 3 2 +--R sinh(x) - 3%i sinh(x) - 3sinh(x) + %i +--R Type: Expression Complex Integer +--E 243 + +--S 244 of 552 +r0748:= %i*log(1+%i*sinh(x))+2*%i/(1+%i*sinh(x)) +--R +--R +--R (%i sinh(x) + 1)log(%i sinh(x) + 1) + 2 +--R (236) --------------------------------------- +--R sinh(x) - %i +--R Type: Expression Complex Integer +--E 244 + +--S 245 of 552 +a0748:= integrate(t0748,x) +--R +--R +--R (237) +--R 2 2 +--R 2%i sinh(x) + (4%i cosh(x) + 4)sinh(x) + 2%i cosh(x) + 4cosh(x) +--R + +--R - 2%i +--R * +--R log(sinh(x) + cosh(x) - %i) +--R + +--R 2 2 +--R - %i x sinh(x) + (- 2%i x cosh(x) - 2x + 4)sinh(x) - %i x cosh(x) +--R + +--R (- 2x + 4)cosh(x) + %i x +--R / +--R 2 2 +--R sinh(x) + (2cosh(x) - 2%i)sinh(x) + cosh(x) - 2%i cosh(x) - 1 +--R Type: Union(Expression Complex Integer,...) +--E 245 + +--S 246 of 552 +m0748:= a0748-r0748 +--R +--R +--R (238) +--R 3 2 +--R 2%i sinh(x) + (4%i cosh(x) + 6)sinh(x) +--R + +--R 2 2 +--R (2%i cosh(x) + 8cosh(x) - 6%i)sinh(x) + 2cosh(x) - 4%i cosh(x) - 2 +--R * +--R log(sinh(x) + cosh(x) - %i) +--R + +--R 3 2 +--R - %i sinh(x) + (- 2%i cosh(x) - 3)sinh(x) +--R + +--R 2 2 +--R (- %i cosh(x) - 4cosh(x) + 3%i)sinh(x) - cosh(x) + 2%i cosh(x) + 1 +--R * +--R log(%i sinh(x) + 1) +--R + +--R 3 2 +--R - %i x sinh(x) + (- 2%i x cosh(x) - 3x + 2)sinh(x) +--R + +--R 2 2 +--R (- %i x cosh(x) - 4x cosh(x) + 3%i x)sinh(x) + (- x - 2)cosh(x) +--R + +--R 2%i x cosh(x) + x + 2 +--R / +--R 3 2 2 +--R sinh(x) + (2cosh(x) - 3%i)sinh(x) + (cosh(x) - 4%i cosh(x) - 3)sinh(x) +--R + +--R 2 +--R - %i cosh(x) - 2cosh(x) + %i +--R Type: Expression Complex Integer +--E 246 + +--S 247 of 552 +d0748:= D(m0748,x) +--R +--R +--R (239) +--R 5 4 3 +--R %i sinh(x) + (2%i cosh(x) - 1)sinh(x) + (- 2cosh(x) + 2%i)sinh(x) +--R + +--R 3 2 +--R (- 2%i cosh(x) + 6%i cosh(x) - 2)sinh(x) +--R + +--R 4 3 4 +--R (- %i cosh(x) + 2cosh(x) - 2cosh(x) + %i)sinh(x) + cosh(x) +--R + +--R 3 +--R - 4%i cosh(x) + 4%i cosh(x) - 1 +--R / +--R 5 4 +--R sinh(x) + (3cosh(x) - 5%i)sinh(x) +--R + +--R 2 3 +--R (3cosh(x) - 12%i cosh(x) - 10)sinh(x) +--R + +--R 3 2 2 +--R (cosh(x) - 9%i cosh(x) - 18cosh(x) + 10%i)sinh(x) +--R + +--R 3 2 3 +--R (- 2%i cosh(x) - 9cosh(x) + 12%i cosh(x) + 5)sinh(x) - cosh(x) +--R + +--R 2 +--R 3%i cosh(x) + 3cosh(x) - %i +--R Type: Expression Complex Integer +--E 247 + +--S 248 of 552 +t0749:= cosh(x)^3/(1-%i*sinh(x))^3 +--R +--R +--R 3 +--R %i cosh(x) +--R (240) - --------------------------------------- +--R 3 2 +--R sinh(x) + 3%i sinh(x) - 3sinh(x) - %i +--R Type: Expression Complex Integer +--E 248 + +--S 249 of 552 +r0749:= -%i*log(1-%i*sinh(x))-2*%i/(1-%i*sinh(x)) +--R +--R +--R (- %i sinh(x) + 1)log(- %i sinh(x) + 1) + 2 +--R (241) ------------------------------------------- +--R sinh(x) + %i +--R Type: Expression Complex Integer +--E 249 + +--S 250 of 552 +a0749:= integrate(t0749,x) +--R +--R +--R (242) +--R 2 2 +--R - 2%i sinh(x) + (- 4%i cosh(x) + 4)sinh(x) - 2%i cosh(x) + 4cosh(x) +--R + +--R 2%i +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 2 2 +--R %i x sinh(x) + (2%i x cosh(x) - 2x + 4)sinh(x) + %i x cosh(x) +--R + +--R (- 2x + 4)cosh(x) - %i x +--R / +--R 2 2 +--R sinh(x) + (2cosh(x) + 2%i)sinh(x) + cosh(x) + 2%i cosh(x) - 1 +--R Type: Union(Expression Complex Integer,...) +--E 250 + +--S 251 of 552 +m0749:= a0749-r0749 +--R +--R +--R (243) +--R 3 2 +--R - 2%i sinh(x) + (- 4%i cosh(x) + 6)sinh(x) +--R + +--R 2 2 +--R (- 2%i cosh(x) + 8cosh(x) + 6%i)sinh(x) + 2cosh(x) + 4%i cosh(x) - 2 +--R * +--R log(sinh(x) + cosh(x) + %i) +--R + +--R 3 2 +--R %i sinh(x) + (2%i cosh(x) - 3)sinh(x) +--R + +--R 2 2 +--R (%i cosh(x) - 4cosh(x) - 3%i)sinh(x) - cosh(x) - 2%i cosh(x) + 1 +--R * +--R log(- %i sinh(x) + 1) +--R + +--R 3 2 +--R %i x sinh(x) + (2%i x cosh(x) - 3x + 2)sinh(x) +--R + +--R 2 2 +--R (%i x cosh(x) - 4x cosh(x) - 3%i x)sinh(x) + (- x - 2)cosh(x) +--R + +--R - 2%i x cosh(x) + x + 2 +--R / +--R 3 2 2 +--R sinh(x) + (2cosh(x) + 3%i)sinh(x) + (cosh(x) + 4%i cosh(x) - 3)sinh(x) +--R + +--R 2 +--R %i cosh(x) - 2cosh(x) - %i +--R Type: Expression Complex Integer +--E 251 + +--S 252 of 552 +d0749:= D(m0749,x) +--R +--R +--R (244) +--R 5 4 3 +--R - %i sinh(x) + (- 2%i cosh(x) - 1)sinh(x) + (- 2cosh(x) - 2%i)sinh(x) +--R + +--R 3 2 +--R (2%i cosh(x) - 6%i cosh(x) - 2)sinh(x) +--R + +--R 4 3 4 +--R (%i cosh(x) + 2cosh(x) - 2cosh(x) - %i)sinh(x) + cosh(x) +--R + +--R 3 +--R 4%i cosh(x) - 4%i cosh(x) - 1 +--R / +--R 5 4 +--R sinh(x) + (3cosh(x) + 5%i)sinh(x) +--R + +--R 2 3 +--R (3cosh(x) + 12%i cosh(x) - 10)sinh(x) +--R + +--R 3 2 2 +--R (cosh(x) + 9%i cosh(x) - 18cosh(x) - 10%i)sinh(x) +--R + +--R 3 2 3 +--R (2%i cosh(x) - 9cosh(x) - 12%i cosh(x) + 5)sinh(x) - cosh(x) +--R + +--R 2 +--R - 3%i cosh(x) + 3cosh(x) + %i +--R Type: Expression Complex Integer +--E 252 + +--S 253 of 552 +t0750:= sinh(x)^3/(1+cosh(x))^3 +--R +--R +--R 3 +--R sinh(x) +--R (245) ----------------------------------- +--R 3 2 +--R cosh(x) + 3cosh(x) + 3cosh(x) + 1 +--R Type: Expression Integer +--E 253 + +--S 254 of 552 +r0750:= 2/(1+cosh(x))+log(1+cosh(x)) +--R +--R +--R (cosh(x) + 1)log(cosh(x) + 1) + 2 +--R (246) --------------------------------- +--R cosh(x) + 1 +--R Type: Expression Integer +--E 254 + +--S 255 of 552 +a0750:= integrate(t0750,x) +--R +--R +--R (247) +--R 2 2 +--R (2sinh(x) + (4cosh(x) + 4)sinh(x) + 2cosh(x) + 4cosh(x) + 2) +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 +--R - x sinh(x) + (- 2x cosh(x) - 2x + 4)sinh(x) - x cosh(x) +--R + +--R (- 2x + 4)cosh(x) - x +--R / +--R 2 2 +--R sinh(x) + (2cosh(x) + 2)sinh(x) + cosh(x) + 2cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 255 + +--S 256 of 552 +m0750:= a0750-r0750 +--R +--R +--R (248) +--R 2 2 +--R (2cosh(x) + 2)sinh(x) + (4cosh(x) + 8cosh(x) + 4)sinh(x) +--R + +--R 3 2 +--R 2cosh(x) + 6cosh(x) + 6cosh(x) + 2 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 2 2 +--R (- cosh(x) - 1)sinh(x) + (- 2cosh(x) - 4cosh(x) - 2)sinh(x) +--R + +--R 3 2 +--R - cosh(x) - 3cosh(x) - 3cosh(x) - 1 +--R * +--R log(cosh(x) + 1) +--R + +--R 2 2 +--R (- x cosh(x) - x - 2)sinh(x) + (- 2x cosh(x) - 4x cosh(x) - 2x)sinh(x) +--R + +--R 3 2 +--R - x cosh(x) + (- 3x + 2)cosh(x) - 3x cosh(x) - x - 2 +--R / +--R 2 2 3 +--R (cosh(x) + 1)sinh(x) + (2cosh(x) + 4cosh(x) + 2)sinh(x) + cosh(x) +--R + +--R 2 +--R 3cosh(x) + 3cosh(x) + 1 +--R Type: Expression Integer +--E 256 + +--S 257 of 552 +d0750:= D(m0750,x) +--R +--R +--R (249) +--R 4 2 3 +--R (- cosh(x) + 1)sinh(x) + (- 2cosh(x) + 2cosh(x) + 4)sinh(x) +--R + +--R 4 3 2 5 +--R (2cosh(x) - 2cosh(x) - 6cosh(x) + 2cosh(x) + 4)sinh(x) + cosh(x) +--R + +--R 4 3 2 +--R - cosh(x) - 2cosh(x) + 2cosh(x) + cosh(x) - 1 +--R / +--R 2 3 +--R (cosh(x) + 2cosh(x) + 1)sinh(x) +--R + +--R 3 2 2 +--R (3cosh(x) + 9cosh(x) + 9cosh(x) + 3)sinh(x) +--R + +--R 4 3 2 5 +--R (3cosh(x) + 12cosh(x) + 18cosh(x) + 12cosh(x) + 3)sinh(x) + cosh(x) +--R + +--R 4 3 2 +--R 5cosh(x) + 10cosh(x) + 10cosh(x) + 5cosh(x) + 1 +--R Type: Expression Integer +--E 257 + +--S 258 of 552 +t0751:= sinh(x)^3/(1-cosh(x))^3 +--R +--R +--R 3 +--R sinh(x) +--R (250) - ----------------------------------- +--R 3 2 +--R cosh(x) - 3cosh(x) + 3cosh(x) - 1 +--R Type: Expression Integer +--E 258 + +--S 259 of 552 +r0751:= -2/(1-cosh(x))-log(1-cosh(x)) +--R +--R +--R (- cosh(x) + 1)log(- cosh(x) + 1) + 2 +--R (251) ------------------------------------- +--R cosh(x) - 1 +--R Type: Expression Integer +--E 259 + +--S 260 of 552 +a0751:= integrate(t0751,x) +--R +--R +--R (252) +--R 2 2 +--R (- 2sinh(x) + (- 4cosh(x) + 4)sinh(x) - 2cosh(x) + 4cosh(x) - 2) +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 2 2 +--R x sinh(x) + (2x cosh(x) - 2x + 4)sinh(x) + x cosh(x) +--R + +--R (- 2x + 4)cosh(x) + x +--R / +--R 2 2 +--R sinh(x) + (2cosh(x) - 2)sinh(x) + cosh(x) - 2cosh(x) + 1 +--R Type: Union(Expression Integer,...) +--E 260 + +--S 261 of 552 +m0751:= a0751-r0751 +--R +--R +--R (253) +--R 2 2 +--R (- 2cosh(x) + 2)sinh(x) + (- 4cosh(x) + 8cosh(x) - 4)sinh(x) +--R + +--R 3 2 +--R - 2cosh(x) + 6cosh(x) - 6cosh(x) + 2 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 2 2 3 +--R (cosh(x) - 1)sinh(x) + (2cosh(x) - 4cosh(x) + 2)sinh(x) + cosh(x) +--R + +--R 2 +--R - 3cosh(x) + 3cosh(x) - 1 +--R * +--R log(- cosh(x) + 1) +--R + +--R 2 2 +--R (x cosh(x) - x - 2)sinh(x) + (2x cosh(x) - 4x cosh(x) + 2x)sinh(x) +--R + +--R 3 2 +--R x cosh(x) + (- 3x + 2)cosh(x) + 3x cosh(x) - x - 2 +--R / +--R 2 2 3 +--R (cosh(x) - 1)sinh(x) + (2cosh(x) - 4cosh(x) + 2)sinh(x) + cosh(x) +--R + +--R 2 +--R - 3cosh(x) + 3cosh(x) - 1 +--R Type: Expression Integer +--E 261 + +--S 262 of 552 +d0751:= D(m0751,x) +--R +--R +--R (254) +--R 4 2 3 +--R (cosh(x) + 1)sinh(x) + (2cosh(x) + 2cosh(x) - 4)sinh(x) +--R + +--R 4 3 2 5 +--R (- 2cosh(x) - 2cosh(x) + 6cosh(x) + 2cosh(x) - 4)sinh(x) - cosh(x) +--R + +--R 4 3 2 +--R - cosh(x) + 2cosh(x) + 2cosh(x) - cosh(x) - 1 +--R / +--R 2 3 +--R (cosh(x) - 2cosh(x) + 1)sinh(x) +--R + +--R 3 2 2 +--R (3cosh(x) - 9cosh(x) + 9cosh(x) - 3)sinh(x) +--R + +--R 4 3 2 5 +--R (3cosh(x) - 12cosh(x) + 18cosh(x) - 12cosh(x) + 3)sinh(x) + cosh(x) +--R + +--R 4 3 2 +--R - 5cosh(x) + 10cosh(x) - 10cosh(x) + 5cosh(x) - 1 +--R Type: Expression Integer +--E 262 + +--S 263 of 552 +t0752:= sinh(x)^2/(a+b*sinh(x)^2) +--R +--R +--R 2 +--R sinh(x) +--R (255) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 263 + +--S 264 of 552 +r0752:= x/b-a^(1/2)*atan((-a+b)^(1/2)*tanh(x)/a^(1/2))/b/(-a+b)^(1/2) +--R +--R +--R +-----+ +--R +-+ tanh(x)\|b - a +-----+ +--R - \|a atan(---------------) + x\|b - a +--R +-+ +--R \|a +--R (256) --------------------------------------- +--R +-----+ +--R b\|b - a +--R Type: Expression Integer +--E 264 + +--S 265 of 552 +a0752:= integrate(t0752,x) +--R +--R +--R (257) +--R [ +--R +-------+ +--R | a +--R |- ----- +--R \| b - a +--R * +--R log +--R 2 2 2 +--R (- 4b + 4a b)sinh(x) + (- 8b + 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 4b + 4a b)cosh(x) + 4b - 12a b + 8a +--R * +--R +-------+ +--R | a +--R |- ----- +--R \| b - a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2x +--R / +--R 2b +--R , +--R +-----+ +--R | a +--R +-----+ (2b - 2a) |----- +--R | a \|b - a +--R |----- atan(----------------------------------------------------) + x +--R \|b - a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a +--R ----------------------------------------------------------------------] +--R b +--R Type: Union(List Expression Integer,...) +--E 265 + +--S 266 of 552 +m0752a:= a0752.1-r0752 +--R +--R +--R (258) +--R +-------+ +--R | a +-----+ +--R |- ----- \|b - a +--R \| b - a +--R * +--R log +--R 2 2 2 +--R (- 4b + 4a b)sinh(x) + (- 8b + 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 4b + 4a b)cosh(x) + 4b - 12a b + 8a +--R * +--R +-------+ +--R | a +--R |- ----- +--R \| b - a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R +-----+ +--R +-+ tanh(x)\|b - a +--R 2\|a atan(---------------) +--R +-+ +--R \|a +--R / +--R +-----+ +--R 2b\|b - a +--R Type: Expression Integer +--E 266 + +--S 267 of 552 +d0752a:= D(m0752a,x) +--R +--R +--R (259) +--R 4 3 2 2 +--R - a sinh(x) - 4a cosh(x)sinh(x) + (- 6a cosh(x) - 2a)sinh(x) +--R + +--R 3 4 2 +--R (- 4a cosh(x) - 4a cosh(x))sinh(x) - a cosh(x) - 2a cosh(x) - a +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R a sinh(x) + 4a cosh(x)sinh(x) + (6a cosh(x) - 2a)sinh(x) +--R + +--R 3 4 2 +--R (4a cosh(x) - 4a cosh(x))sinh(x) + a cosh(x) - 2a cosh(x) + a +--R / +--R 2 4 2 3 +--R (b - a b)sinh(x) + (4b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a b)cosh(x) - 2b + 6a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((4b - 4a b)cosh(x) + (- 4b + 12a b - 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (b - a b)cosh(x) + (- 2b + 6a b - 4a )cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) - 2a b + 4a )sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (- 4a b + 8a )cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (- 2a b + 4a )cosh(x) + a b +--R Type: Expression Integer +--E 267 + +--S 268 of 552 +m0752b:= a0752.2-r0752 +--R +--R +--R (260) +--R +-----+ +--R +-+ tanh(x)\|b - a +--R \|a atan(---------------) +--R +-+ +--R \|a +--R + +--R +-----+ +--R | a +--R +-----+ (2b - 2a) |----- +--R | a +-----+ \|b - a +--R |----- \|b - a atan(----------------------------------------------------) +--R \|b - a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a +--R / +--R +-----+ +--R b\|b - a +--R Type: Expression Integer +--E 268 + +--S 269 of 552 +d0752b:= D(m0752b,x) +--R +--R +--R (261) +--R 4 3 2 2 +--R - a sinh(x) - 4a cosh(x)sinh(x) + (- 6a cosh(x) - 2a)sinh(x) +--R + +--R 3 4 2 +--R (- 4a cosh(x) - 4a cosh(x))sinh(x) - a cosh(x) - 2a cosh(x) - a +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R a sinh(x) + 4a cosh(x)sinh(x) + (6a cosh(x) - 2a)sinh(x) +--R + +--R 3 4 2 +--R (4a cosh(x) - 4a cosh(x))sinh(x) + a cosh(x) - 2a cosh(x) + a +--R / +--R 2 4 2 3 +--R (b - a b)sinh(x) + (4b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a b)cosh(x) - 2b + 6a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((4b - 4a b)cosh(x) + (- 4b + 12a b - 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (b - a b)cosh(x) + (- 2b + 6a b - 4a )cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) - 2a b + 4a )sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (- 4a b + 8a )cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (- 2a b + 4a )cosh(x) + a b +--R Type: Expression Integer +--E 269 + +--S 270 of 552 +t0753:= sinh(x)^3/(a+b*sinh(x)^2) +--R +--R +--R 3 +--R sinh(x) +--R (262) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 270 + +--S 271 of 552 +r0753:= a*atanh((-b)^(1/2)*cosh(x)/(a-b)^(1/2))/(a-b)^(1/2)/(-b)^(3/2)+_ + cosh(x)/b +--R +--R +--R +---+ +--R cosh(x)\|- b +---+ +-------+ +--R - a atanh(-------------) + cosh(x)\|- b \|- b + a +--R +-------+ +--R \|- b + a +--R (263) -------------------------------------------------- +--R +---+ +-------+ +--R b\|- b \|- b + a +--R Type: Expression Integer +--E 271 + +--S 272 of 552 +a0753:= integrate(t0753,x) +--R +--R +--R (264) +--R [ +--R (a sinh(x) + a cosh(x)) +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (6b - 4a)cosh(x) + b +--R * +--R +--------+ +--R | 2 +--R \|b - a b +--R + +--R 2 3 2 2 +--R (4b - 4a b)sinh(x) + (12b - 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((12b - 12a b)cosh(x) + 4b - 4a b)sinh(x) +--R + +--R 2 3 2 +--R (4b - 4a b)cosh(x) + (4b - 4a b)cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R +--------+ +--R 2 2 | 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|b - a b +--R / +--R +--------+ +--R | 2 +--R (2b sinh(x) + 2b cosh(x))\|b - a b +--R , +--R +--R +----------+ +--R | 2 +--R (sinh(x) + cosh(x))\|- b + a b +--R (2a sinh(x) + 2a cosh(x))atan(--------------------------------) +--R 2b - 2a +--R + +--R (2a sinh(x) + 2a cosh(x)) +--R * +--R atan +--R 3 2 +--R b sinh(x) + 3b cosh(x)sinh(x) +--R + +--R 2 3 +--R (3b cosh(x) - 3b + 4a)sinh(x) + b cosh(x) + (- 3b + 4a)cosh(x) +--R / +--R +----------+ +--R | 2 +--R 2\|- b + a b +--R + +--R +----------+ +--R 2 2 | 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- b + a b +--R / +--R +----------+ +--R | 2 +--R (2b sinh(x) + 2b cosh(x))\|- b + a b +--R ] +--R Type: Union(List Expression Integer,...) +--E 272 + +--S 273 of 552 +m0753a:= a0753.1-r0753 +--R +--R +--R (265) +--R +---+ +-------+ +--R (a sinh(x) + a cosh(x))\|- b \|- b + a +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (6b - 4a)cosh(x) + b +--R * +--R +--------+ +--R | 2 +--R \|b - a b +--R + +--R 2 3 2 2 +--R (4b - 4a b)sinh(x) + (12b - 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((12b - 12a b)cosh(x) + 4b - 4a b)sinh(x) +--R + +--R 2 3 2 +--R (4b - 4a b)cosh(x) + (4b - 4a b)cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R +--------+ +---+ +--R | 2 cosh(x)\|- b +--R (2a sinh(x) + 2a cosh(x))\|b - a b atanh(-------------) +--R +-------+ +--R \|- b + a +--R + +--R +--------+ +--R 2 2 +---+ +-------+ | 2 +--R (sinh(x) - cosh(x) + 1)\|- b \|- b + a \|b - a b +--R / +--R +--------+ +--R +---+ +-------+ | 2 +--R (2b sinh(x) + 2b cosh(x))\|- b \|- b + a \|b - a b +--R Type: Expression Integer +--E 273 + +--S 274 of 552 +d0753a:= D(m0753a,x) +--R +--R +--R (266) +--R 2 6 +--R (- b cosh(x) + b + a)sinh(x) +--R + +--R 3 5 +--R (- 4b cosh(x) + (4b + 6a)cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 5b cosh(x) + (6b + 7a)cosh(x) - b + 5a)sinh(x) +--R + +--R 3 3 +--R (- 4a cosh(x) + 12a cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (5b cosh(x) + (- 11b - 9a)cosh(x) + (7b + 6a)cosh(x) - b + 3a)sinh(x) +--R + +--R 7 5 3 +--R 4b cosh(x) + (- 12b - 2a)cosh(x) + (12b - 4a)cosh(x) +--R + +--R (- 4b + 6a)cosh(x) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R b cosh(x) + (- 4b + a)cosh(x) + (6b - 3a)cosh(x) + (- 4b + 3a)cosh(x) +--R + +--R b - a +--R / +--R 2 2 2 5 +--R (2b cosh(x) - 2b + 2a b)sinh(x) +--R + +--R 2 3 2 4 +--R (10b cosh(x) + (- 10b + 10a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 3 +--R (20b cosh(x) + (- 24b + 28a b)cosh(x) + 4b - 12a b + 8a )sinh(x) +--R + +--R 2 5 2 3 +--R 20b cosh(x) + (- 32b + 44a b)cosh(x) +--R + +--R 2 2 +--R (12b - 36a b + 24a )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 10b cosh(x) + (- 22b + 34a b)cosh(x) +--R + +--R 2 2 2 2 +--R (14b - 36a b + 24a )cosh(x) - 2b + 2a b +--R * +--R sinh(x) +--R + +--R 2 7 2 5 2 2 3 +--R 2b cosh(x) + (- 6b + 10a b)cosh(x) + (6b - 12a b + 8a )cosh(x) +--R + +--R 2 +--R (- 2b + 2a b)cosh(x) +--R Type: Expression Integer +--E 274 + +--S 275 of 552 +m0753b:= a0753.2-r0753 +--R +--R +--R (267) +--R +----------+ +---+ +--R | 2 cosh(x)\|- b +--R (2a sinh(x) + 2a cosh(x))\|- b + a b atanh(-------------) +--R +-------+ +--R \|- b + a +--R + +--R +---+ +-------+ +--R (2a sinh(x) + 2a cosh(x))\|- b \|- b + a +--R * +--R +----------+ +--R | 2 +--R (sinh(x) + cosh(x))\|- b + a b +--R atan(--------------------------------) +--R 2b - 2a +--R + +--R +---+ +-------+ +--R (2a sinh(x) + 2a cosh(x))\|- b \|- b + a +--R * +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) - 3b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (- 3b + 4a)cosh(x) +--R / +--R +----------+ +--R | 2 +--R 2\|- b + a b +--R + +--R +----------+ +--R 2 2 | 2 +---+ +-------+ +--R (sinh(x) - cosh(x) + 1)\|- b + a b \|- b \|- b + a +--R / +--R +----------+ +--R | 2 +---+ +-------+ +--R (2b sinh(x) + 2b cosh(x))\|- b + a b \|- b \|- b + a +--R Type: Expression Integer +--E 275 + +--S 276 of 552 +d0753b:= D(m0753b,x) +--R +--R +--R (268) +--R 2 6 +--R (- b cosh(x) + b + a)sinh(x) +--R + +--R 3 5 +--R (- 4b cosh(x) + (4b + 6a)cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 5b cosh(x) + (6b + 7a)cosh(x) - b + 5a)sinh(x) +--R + +--R 3 3 +--R (- 4a cosh(x) + 12a cosh(x))sinh(x) +--R + +--R 6 4 2 2 +--R (5b cosh(x) + (- 11b - 9a)cosh(x) + (7b + 6a)cosh(x) - b + 3a)sinh(x) +--R + +--R 7 5 3 +--R 4b cosh(x) + (- 12b - 2a)cosh(x) + (12b - 4a)cosh(x) +--R + +--R (- 4b + 6a)cosh(x) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R b cosh(x) + (- 4b + a)cosh(x) + (6b - 3a)cosh(x) + (- 4b + 3a)cosh(x) +--R + +--R b - a +--R / +--R 2 2 2 5 +--R (2b cosh(x) - 2b + 2a b)sinh(x) +--R + +--R 2 3 2 4 +--R (10b cosh(x) + (- 10b + 10a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 3 +--R (20b cosh(x) + (- 24b + 28a b)cosh(x) + 4b - 12a b + 8a )sinh(x) +--R + +--R 2 5 2 3 +--R 20b cosh(x) + (- 32b + 44a b)cosh(x) +--R + +--R 2 2 +--R (12b - 36a b + 24a )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 10b cosh(x) + (- 22b + 34a b)cosh(x) +--R + +--R 2 2 2 2 +--R (14b - 36a b + 24a )cosh(x) - 2b + 2a b +--R * +--R sinh(x) +--R + +--R 2 7 2 5 2 2 3 +--R 2b cosh(x) + (- 6b + 10a b)cosh(x) + (6b - 12a b + 8a )cosh(x) +--R + +--R 2 +--R (- 2b + 2a b)cosh(x) +--R Type: Expression Integer +--E 276 + +--S 277 of 552 +t0754:= sinh(x)^4/(a+b*sinh(x)^2) +--R +--R +--R 4 +--R sinh(x) +--R (269) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 277 + +--S 278 of 552 +r0754:= -a*x/b^2-1/2*x/b+a^(3/2)*atan((-a+b)^(1/2)*_ + tanh(x)/a^(1/2))/b^2/(-a+b)^(1/2)+1/2*cosh(x)*sinh(x)/b +--R +--R +--R (270) +--R +-----+ +--R +-+ tanh(x)\|b - a +-----+ +--R 2a\|a atan(---------------) + (b cosh(x)sinh(x) + (- b - 2a)x)\|b - a +--R +-+ +--R \|a +--R ---------------------------------------------------------------------- +--R 2 +-----+ +--R 2b \|b - a +--R Type: Expression Integer +--E 278 + +--S 279 of 552 +a0754:= integrate(t0754,x) +--R +--R +--R (271) +--R [ +--R +-------+ +--R 2 2 | a +--R (4a sinh(x) + 8a cosh(x)sinh(x) + 4a cosh(x) ) |- ----- +--R \| b - a +--R * +--R log +--R 2 2 2 +--R (4b - 4a b)sinh(x) + (8b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (4b - 4a b)cosh(x) - 4b + 12a b - 8a +--R * +--R +-------+ +--R | a +--R |- ----- +--R \| b - a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + (- 4b - 8a)x)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 8b - 16a)x cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 4b - 8a)x cosh(x) - b +--R / +--R 2 2 2 2 2 +--R 8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) +--R , +--R +--R +-----+ +--R 2 2 | a +--R (- 8a sinh(x) - 16a cosh(x)sinh(x) - 8a cosh(x) ) |----- +--R \|b - a +--R * +--R +-----+ +--R | a +--R (2b - 2a) |----- +--R \|b - a +--R atan(----------------------------------------------------) +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a +--R + +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + (- 4b - 8a)x)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 8b - 16a)x cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 4b - 8a)x cosh(x) - b +--R / +--R 2 2 2 2 2 +--R 8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) +--R ] +--R Type: Union(List Expression Integer,...) +--E 279 + +--S 280 of 552 +m0754a:= a0754.1-r0754 +--R +--R +--R (272) +--R +-------+ +--R 2 2 | a +-----+ +--R (4a sinh(x) + 8a cosh(x)sinh(x) + 4a cosh(x) ) |- ----- \|b - a +--R \| b - a +--R * +--R log +--R 2 2 2 +--R (4b - 4a b)sinh(x) + (8b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (4b - 4a b)cosh(x) - 4b + 12a b - 8a +--R * +--R +-------+ +--R | a +--R |- ----- +--R \| b - a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2 2 +-+ +--R (- 8a sinh(x) - 16a cosh(x)sinh(x) - 8a cosh(x) )\|a +--R * +--R +-----+ +--R tanh(x)\|b - a +--R atan(---------------) +--R +-+ +--R \|a +--R + +--R 4 2 2 4 +-----+ +--R (b sinh(x) - 2b cosh(x) sinh(x) + b cosh(x) - b)\|b - a +--R / +--R 2 2 2 2 2 +-----+ +--R (8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) )\|b - a +--R Type: Expression Integer +--E 280 + +--S 281 of 552 +d0754a:= D(m0754a,x) +--R +--R +--R (273) +--R 2 8 2 7 +--R (- b + a b)sinh(x) + (- 4b + 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((- 4b + 4a b)cosh(x) + 2b - 6a b + 8a )sinh(x) +--R + +--R 2 3 2 2 5 +--R ((4b - 4a b)cosh(x) + (4b - 12a b + 32a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R ((10b - 10a b)cosh(x) + (- 2b + 6a b + 56a )cosh(x) + 8a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (4b - 4a b)cosh(x) + (- 8b + 24a b + 64a )cosh(x) +--R + +--R 2 2 +--R (4b - 4a b + 32a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (- 4b + 4a b)cosh(x) + (- 2b + 6a b + 56a )cosh(x) +--R + +--R 2 2 2 2 +--R (8b - 8a b + 48a )cosh(x) - 2b + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R (- 4b + 4a b)cosh(x) + (4b - 12a b + 32a )cosh(x) +--R + +--R 2 2 3 2 +--R (4b - 4a b + 32a )cosh(x) + (- 4b + 12a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 2 6 2 4 +--R (- b + a b)cosh(x) + (2b - 6a b + 8a )cosh(x) + 8a cosh(x) +--R + +--R 2 2 2 +--R (- 2b + 6a b)cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 +--R - a b sinh(x) - 4a b cosh(x)sinh(x) +--R + +--R 2 2 6 +--R (- 4a b cosh(x) + 2a b - 8a )sinh(x) +--R + +--R 3 2 5 +--R (4a b cosh(x) + (4a b - 32a )cosh(x))sinh(x) +--R + +--R 4 2 2 2 4 +--R (10a b cosh(x) + (- 2a b - 56a )cosh(x) + 8a )sinh(x) +--R + +--R 5 2 3 2 3 +--R (4a b cosh(x) + (- 8a b - 64a )cosh(x) + (4a b + 32a )cosh(x))sinh(x) +--R + +--R 6 2 4 2 2 +--R - 4a b cosh(x) + (- 2a b - 56a )cosh(x) + (8a b + 48a )cosh(x) +--R + +--R - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 5 2 3 +--R - 4a b cosh(x) + (4a b - 32a )cosh(x) + (4a b + 32a )cosh(x) +--R + +--R - 4a b cosh(x) +--R * +--R sinh(x) +--R + +--R 8 2 6 2 4 2 +--R - a b cosh(x) + (2a b - 8a )cosh(x) + 8a cosh(x) - 2a b cosh(x) + a b +--R / +--R 3 2 6 3 2 5 +--R (4b - 4a b )sinh(x) + (24b - 24a b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 4 +--R ((60b - 60a b )cosh(x) - 8b + 24a b - 16a b)sinh(x) +--R + +--R 3 2 3 3 2 2 3 +--R ((80b - 80a b )cosh(x) + (- 32b + 96a b - 64a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 2 +--R (60b - 60a b )cosh(x) + (- 48b + 144a b - 96a b)cosh(x) +--R + +--R 3 2 +--R 4b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (24b - 24a b )cosh(x) + (- 32b + 96a b - 64a b)cosh(x) +--R + +--R 3 2 +--R (8b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (4b - 4a b )cosh(x) + (- 8b + 24a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (4b - 4a b )cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 2 6 2 5 +--R 4a b sinh(x) + 24a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R (60a b cosh(x) - 8a b + 16a b)sinh(x) +--R + +--R 2 3 2 2 3 +--R (80a b cosh(x) + (- 32a b + 64a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 2 +--R (60a b cosh(x) + (- 48a b + 96a b)cosh(x) + 4a b )sinh(x) +--R + +--R 2 5 2 2 3 2 +--R (24a b cosh(x) + (- 32a b + 64a b)cosh(x) + 8a b cosh(x))sinh(x) +--R + +--R 2 6 2 2 4 2 2 +--R 4a b cosh(x) + (- 8a b + 16a b)cosh(x) + 4a b cosh(x) +--R Type: Expression Integer +--E 281 + +--S 282 of 552 +m0754b:= a0754.2-r0754 +--R +--R +--R (274) +--R 2 2 +-+ +--R (- 8a sinh(x) - 16a cosh(x)sinh(x) - 8a cosh(x) )\|a +--R * +--R +-----+ +--R tanh(x)\|b - a +--R atan(---------------) +--R +-+ +--R \|a +--R + +--R +-----+ +--R 2 2 | a +-----+ +--R (- 8a sinh(x) - 16a cosh(x)sinh(x) - 8a cosh(x) ) |----- \|b - a +--R \|b - a +--R * +--R +-----+ +--R | a +--R (2b - 2a) |----- +--R \|b - a +--R atan(----------------------------------------------------) +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a +--R + +--R 4 2 2 4 +-----+ +--R (b sinh(x) - 2b cosh(x) sinh(x) + b cosh(x) - b)\|b - a +--R / +--R 2 2 2 2 2 +-----+ +--R (8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) )\|b - a +--R Type: Expression Integer +--E 282 + +--S 283 of 552 +d0754b:= D(m0754b,x) +--R +--R +--R (275) +--R 2 8 2 7 +--R (- b + a b)sinh(x) + (- 4b + 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((- 4b + 4a b)cosh(x) + 2b - 6a b + 8a )sinh(x) +--R + +--R 2 3 2 2 5 +--R ((4b - 4a b)cosh(x) + (4b - 12a b + 32a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R ((10b - 10a b)cosh(x) + (- 2b + 6a b + 56a )cosh(x) + 8a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (4b - 4a b)cosh(x) + (- 8b + 24a b + 64a )cosh(x) +--R + +--R 2 2 +--R (4b - 4a b + 32a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (- 4b + 4a b)cosh(x) + (- 2b + 6a b + 56a )cosh(x) +--R + +--R 2 2 2 2 +--R (8b - 8a b + 48a )cosh(x) - 2b + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R (- 4b + 4a b)cosh(x) + (4b - 12a b + 32a )cosh(x) +--R + +--R 2 2 3 2 +--R (4b - 4a b + 32a )cosh(x) + (- 4b + 12a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 2 6 2 4 +--R (- b + a b)cosh(x) + (2b - 6a b + 8a )cosh(x) + 8a cosh(x) +--R + +--R 2 2 2 +--R (- 2b + 6a b)cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 +--R - a b sinh(x) - 4a b cosh(x)sinh(x) +--R + +--R 2 2 6 +--R (- 4a b cosh(x) + 2a b - 8a )sinh(x) +--R + +--R 3 2 5 +--R (4a b cosh(x) + (4a b - 32a )cosh(x))sinh(x) +--R + +--R 4 2 2 2 4 +--R (10a b cosh(x) + (- 2a b - 56a )cosh(x) + 8a )sinh(x) +--R + +--R 5 2 3 2 3 +--R (4a b cosh(x) + (- 8a b - 64a )cosh(x) + (4a b + 32a )cosh(x))sinh(x) +--R + +--R 6 2 4 2 2 +--R - 4a b cosh(x) + (- 2a b - 56a )cosh(x) + (8a b + 48a )cosh(x) +--R + +--R - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 5 2 3 +--R - 4a b cosh(x) + (4a b - 32a )cosh(x) + (4a b + 32a )cosh(x) +--R + +--R - 4a b cosh(x) +--R * +--R sinh(x) +--R + +--R 8 2 6 2 4 2 +--R - a b cosh(x) + (2a b - 8a )cosh(x) + 8a cosh(x) - 2a b cosh(x) + a b +--R / +--R 3 2 6 3 2 5 +--R (4b - 4a b )sinh(x) + (24b - 24a b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 4 +--R ((60b - 60a b )cosh(x) - 8b + 24a b - 16a b)sinh(x) +--R + +--R 3 2 3 3 2 2 3 +--R ((80b - 80a b )cosh(x) + (- 32b + 96a b - 64a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 2 +--R (60b - 60a b )cosh(x) + (- 48b + 144a b - 96a b)cosh(x) +--R + +--R 3 2 +--R 4b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (24b - 24a b )cosh(x) + (- 32b + 96a b - 64a b)cosh(x) +--R + +--R 3 2 +--R (8b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (4b - 4a b )cosh(x) + (- 8b + 24a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (4b - 4a b )cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 2 6 2 5 +--R 4a b sinh(x) + 24a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R (60a b cosh(x) - 8a b + 16a b)sinh(x) +--R + +--R 2 3 2 2 3 +--R (80a b cosh(x) + (- 32a b + 64a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 2 +--R (60a b cosh(x) + (- 48a b + 96a b)cosh(x) + 4a b )sinh(x) +--R + +--R 2 5 2 2 3 2 +--R (24a b cosh(x) + (- 32a b + 64a b)cosh(x) + 8a b cosh(x))sinh(x) +--R + +--R 2 6 2 2 4 2 2 +--R 4a b cosh(x) + (- 8a b + 16a b)cosh(x) + 4a b cosh(x) +--R Type: Expression Integer +--E 283 + +--S 284 of 552 +t0755:= sinh(x)^5/(a+b*sinh(x)^2) +--R +--R +--R 5 +--R sinh(x) +--R (276) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 284 + +--S 285 of 552 +r0755:= a^2*atanh((-b)^(1/2)*cosh(x)/(a-b)^(1/2))/(a-b)^(1/2)/(-b)^(5/2)-_ + a*cosh(x)/b^2-cosh(x)/b+1/3*cosh(x)^3/b +--R +--R +--R (277) +--R +---+ +--R 2 cosh(x)\|- b 3 +---+ +-------+ +--R 3a atanh(-------------) + (b cosh(x) + (- 3b - 3a)cosh(x))\|- b \|- b + a +--R +-------+ +--R \|- b + a +--R --------------------------------------------------------------------------- +--R 2 +---+ +-------+ +--R 3b \|- b \|- b + a +--R Type: Expression Integer +--E 285 + +--S 286 of 552 +a0755:= integrate(t0755,x) +--R +--R +--R (278) +--R [ +--R 2 3 2 2 2 2 +--R 12a sinh(x) + 36a cosh(x)sinh(x) + 36a cosh(x) sinh(x) +--R + +--R 2 3 +--R 12a cosh(x) +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (6b - 4a)cosh(x) + b +--R * +--R +--------+ +--R | 2 +--R \|b - a b +--R + +--R 2 3 2 2 +--R (- 4b + 4a b)sinh(x) + (- 12b + 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((- 12b + 12a b)cosh(x) - 4b + 4a b)sinh(x) +--R + +--R 2 3 2 +--R (- 4b + 4a b)cosh(x) + (- 4b + 4a b)cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 6 5 2 4 +--R b sinh(x) + 6b cosh(x)sinh(x) + (15b cosh(x) - 9b - 12a)sinh(x) +--R + +--R 3 3 +--R (20b cosh(x) + (- 36b - 48a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (15b cosh(x) + (- 54b - 72a)cosh(x) - 9b - 12a)sinh(x) +--R + +--R 5 3 +--R (6b cosh(x) + (- 36b - 48a)cosh(x) + (- 18b - 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R b cosh(x) + (- 9b - 12a)cosh(x) + (- 9b - 12a)cosh(x) + b +--R * +--R +--------+ +--R | 2 +--R \|b - a b +--R / +--R 2 3 2 2 2 2 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) +--R + +--R 2 3 +--R 24b cosh(x) +--R * +--R +--------+ +--R | 2 +--R \|b - a b +--R , +--R +--R 2 3 2 2 2 2 +--R - 24a sinh(x) - 72a cosh(x)sinh(x) - 72a cosh(x) sinh(x) +--R + +--R 2 3 +--R - 24a cosh(x) +--R * +--R +----------+ +--R | 2 +--R (sinh(x) + cosh(x))\|- b + a b +--R atan(--------------------------------) +--R 2b - 2a +--R + +--R 2 3 2 2 2 2 +--R - 24a sinh(x) - 72a cosh(x)sinh(x) - 72a cosh(x) sinh(x) +--R + +--R 2 3 +--R - 24a cosh(x) +--R * +--R atan +--R 3 2 +--R b sinh(x) + 3b cosh(x)sinh(x) +--R + +--R 2 3 +--R (3b cosh(x) - 3b + 4a)sinh(x) + b cosh(x) + (- 3b + 4a)cosh(x) +--R / +--R +----------+ +--R | 2 +--R 2\|- b + a b +--R + +--R 6 5 2 4 +--R b sinh(x) + 6b cosh(x)sinh(x) + (15b cosh(x) - 9b - 12a)sinh(x) +--R + +--R 3 3 +--R (20b cosh(x) + (- 36b - 48a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (15b cosh(x) + (- 54b - 72a)cosh(x) - 9b - 12a)sinh(x) +--R + +--R 5 3 +--R (6b cosh(x) + (- 36b - 48a)cosh(x) + (- 18b - 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R b cosh(x) + (- 9b - 12a)cosh(x) + (- 9b - 12a)cosh(x) + b +--R * +--R +----------+ +--R | 2 +--R \|- b + a b +--R / +--R 2 3 2 2 2 2 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) +--R + +--R 2 3 +--R 24b cosh(x) +--R * +--R +----------+ +--R | 2 +--R \|- b + a b +--R ] +--R Type: Union(List Expression Integer,...) +--E 286 + +--S 287 of 552 +m0755a:= a0755.1-r0755 +--R +--R +--R (279) +--R 2 3 2 2 2 2 +--R 12a sinh(x) + 36a cosh(x)sinh(x) + 36a cosh(x) sinh(x) +--R + +--R 2 3 +--R 12a cosh(x) +--R * +--R +---+ +-------+ +--R \|- b \|- b + a +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (6b - 4a)cosh(x) + b +--R * +--R +--------+ +--R | 2 +--R \|b - a b +--R + +--R 2 3 2 2 +--R (- 4b + 4a b)sinh(x) + (- 12b + 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((- 12b + 12a b)cosh(x) - 4b + 4a b)sinh(x) +--R + +--R 2 3 2 +--R (- 4b + 4a b)cosh(x) + (- 4b + 4a b)cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2 3 2 2 2 2 +--R - 24a sinh(x) - 72a cosh(x)sinh(x) - 72a cosh(x) sinh(x) +--R + +--R 2 3 +--R - 24a cosh(x) +--R * +--R +--------+ +---+ +--R | 2 cosh(x)\|- b +--R \|b - a b atanh(-------------) +--R +-------+ +--R \|- b + a +--R + +--R 6 5 2 4 +--R b sinh(x) + 6b cosh(x)sinh(x) + (15b cosh(x) - 9b - 12a)sinh(x) +--R + +--R 3 3 +--R (12b cosh(x) + (- 12b - 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (- 9b cosh(x) + 18b cosh(x) - 9b - 12a)sinh(x) +--R + +--R 5 3 +--R (- 18b cosh(x) + (36b + 24a)cosh(x) + (- 18b - 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R - 7b cosh(x) + (15b + 12a)cosh(x) + (- 9b - 12a)cosh(x) + b +--R * +--R +--------+ +--R +---+ +-------+ | 2 +--R \|- b \|- b + a \|b - a b +--R / +--R 2 3 2 2 2 2 2 3 +--R (24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) ) +--R * +--R +--------+ +--R +---+ +-------+ | 2 +--R \|- b \|- b + a \|b - a b +--R Type: Expression Integer +--E 287 + +--S 288 of 552 +d0755a:= D(m0755a,x) +--R +--R +--R (280) +--R 2 10 +--R (b cosh(x) - b + a)sinh(x) +--R + +--R 3 9 +--R (10b cosh(x) + (- 10b + 10a)cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (37b cosh(x) + (- 34b + 45a)cosh(x) - 3b - 5a)sinh(x) +--R + +--R 5 3 7 +--R (64b cosh(x) + (- 48b + 120a)cosh(x) + (- 16b - 40a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (42b cosh(x) + (2b + 178a)cosh(x) + (- 50b - 76a)cosh(x) + 6b - 22a) +--R * +--R 6 +--R sinh(x) +--R + +--R 7 5 3 +--R - 28b cosh(x) + (108b + 92a)cosh(x) + (- 100b + 40a)cosh(x) +--R + +--R (20b - 100a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 8 6 4 +--R - 70b cosh(x) + (160b - 110a)cosh(x) + (- 108b + 290a)cosh(x) +--R + +--R 2 +--R (16b - 170a)cosh(x) + 2b - 10a +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 +--R - 48b cosh(x) + (96b - 200a)cosh(x) + (- 32b + 360a)cosh(x) +--R + +--R 3 +--R (- 32b - 120a)cosh(x) + (16b - 40a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 +--R - 11b cosh(x) + (7b - 115a)cosh(x) + (50b + 180a)cosh(x) +--R + +--R 4 2 +--R (- 82b - 10a)cosh(x) + (41b - 60a)cosh(x) - 5b + 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 +--R 2b cosh(x) + (- 18b - 22a)cosh(x) + (52b + 24a)cosh(x) +--R + +--R 5 3 +--R (- 68b + 28a)cosh(x) + (42b - 40a)cosh(x) + (- 10b + 10a)cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 +--R b cosh(x) + (- 6b + a)cosh(x) + (15b - 5a)cosh(x) +--R + +--R 6 4 2 +--R (- 20b + 10a)cosh(x) + (15b - 10a)cosh(x) + (- 6b + 5a)cosh(x) + b - a +--R / +--R 2 2 2 7 +--R (8b cosh(x) - 8b + 8a b)sinh(x) +--R + +--R 2 3 2 6 +--R (56b cosh(x) + (- 56b + 56a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (168b cosh(x) + (- 184b + 200a b)cosh(x) + 16b - 48a b + 32a ) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 280b cosh(x) + (- 360b + 440a b)cosh(x) +--R + +--R 2 2 +--R (80b - 240a b + 160a )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 280b cosh(x) + (- 440b + 600a b)cosh(x) +--R + +--R 2 2 2 2 +--R (168b - 480a b + 320a )cosh(x) - 8b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 168b cosh(x) + (- 328b + 488a b)cosh(x) +--R + +--R 2 2 3 2 +--R (184b - 480a b + 320a )cosh(x) + (- 24b + 24a b)cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 56b cosh(x) + (- 136b + 216a b)cosh(x) +--R + +--R 2 2 4 2 2 +--R (104b - 240a b + 160a )cosh(x) + (- 24b + 24a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 9 2 7 2 2 5 +--R 8b cosh(x) + (- 24b + 40a b)cosh(x) + (24b - 48a b + 32a )cosh(x) +--R + +--R 2 3 +--R (- 8b + 8a b)cosh(x) +--R Type: Expression Integer +--E 288 + +--S 289 of 552 +m0755b:= a0755.2-r0755 +--R +--R +--R (281) +--R 2 3 2 2 2 2 +--R - 24a sinh(x) - 72a cosh(x)sinh(x) - 72a cosh(x) sinh(x) +--R + +--R 2 3 +--R - 24a cosh(x) +--R * +--R +----------+ +---+ +--R | 2 cosh(x)\|- b +--R \|- b + a b atanh(-------------) +--R +-------+ +--R \|- b + a +--R + +--R 2 3 2 2 2 2 +--R - 24a sinh(x) - 72a cosh(x)sinh(x) - 72a cosh(x) sinh(x) +--R + +--R 2 3 +--R - 24a cosh(x) +--R * +--R +----------+ +--R | 2 +--R +---+ +-------+ (sinh(x) + cosh(x))\|- b + a b +--R \|- b \|- b + a atan(--------------------------------) +--R 2b - 2a +--R + +--R 2 3 2 2 2 2 +--R - 24a sinh(x) - 72a cosh(x)sinh(x) - 72a cosh(x) sinh(x) +--R + +--R 2 3 +--R - 24a cosh(x) +--R * +--R +---+ +-------+ +--R \|- b \|- b + a +--R * +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) - 3b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (- 3b + 4a)cosh(x) +--R / +--R +----------+ +--R | 2 +--R 2\|- b + a b +--R + +--R 6 5 2 4 +--R b sinh(x) + 6b cosh(x)sinh(x) + (15b cosh(x) - 9b - 12a)sinh(x) +--R + +--R 3 3 +--R (12b cosh(x) + (- 12b - 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (- 9b cosh(x) + 18b cosh(x) - 9b - 12a)sinh(x) +--R + +--R 5 3 +--R (- 18b cosh(x) + (36b + 24a)cosh(x) + (- 18b - 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R - 7b cosh(x) + (15b + 12a)cosh(x) + (- 9b - 12a)cosh(x) + b +--R * +--R +----------+ +--R | 2 +---+ +-------+ +--R \|- b + a b \|- b \|- b + a +--R / +--R 2 3 2 2 2 2 2 3 +--R (24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) ) +--R * +--R +----------+ +--R | 2 +---+ +-------+ +--R \|- b + a b \|- b \|- b + a +--R Type: Expression Integer +--E 289 + +--S 290 of 552 +d0755b:= D(m0755b,x) +--R +--R +--R (282) +--R 2 10 +--R (b cosh(x) - b + a)sinh(x) +--R + +--R 3 9 +--R (10b cosh(x) + (- 10b + 10a)cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (37b cosh(x) + (- 34b + 45a)cosh(x) - 3b - 5a)sinh(x) +--R + +--R 5 3 7 +--R (64b cosh(x) + (- 48b + 120a)cosh(x) + (- 16b - 40a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (42b cosh(x) + (2b + 178a)cosh(x) + (- 50b - 76a)cosh(x) + 6b - 22a) +--R * +--R 6 +--R sinh(x) +--R + +--R 7 5 3 +--R - 28b cosh(x) + (108b + 92a)cosh(x) + (- 100b + 40a)cosh(x) +--R + +--R (20b - 100a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 8 6 4 +--R - 70b cosh(x) + (160b - 110a)cosh(x) + (- 108b + 290a)cosh(x) +--R + +--R 2 +--R (16b - 170a)cosh(x) + 2b - 10a +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 +--R - 48b cosh(x) + (96b - 200a)cosh(x) + (- 32b + 360a)cosh(x) +--R + +--R 3 +--R (- 32b - 120a)cosh(x) + (16b - 40a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 +--R - 11b cosh(x) + (7b - 115a)cosh(x) + (50b + 180a)cosh(x) +--R + +--R 4 2 +--R (- 82b - 10a)cosh(x) + (41b - 60a)cosh(x) - 5b + 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 +--R 2b cosh(x) + (- 18b - 22a)cosh(x) + (52b + 24a)cosh(x) +--R + +--R 5 3 +--R (- 68b + 28a)cosh(x) + (42b - 40a)cosh(x) + (- 10b + 10a)cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 +--R b cosh(x) + (- 6b + a)cosh(x) + (15b - 5a)cosh(x) +--R + +--R 6 4 2 +--R (- 20b + 10a)cosh(x) + (15b - 10a)cosh(x) + (- 6b + 5a)cosh(x) + b - a +--R / +--R 2 2 2 7 +--R (8b cosh(x) - 8b + 8a b)sinh(x) +--R + +--R 2 3 2 6 +--R (56b cosh(x) + (- 56b + 56a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (168b cosh(x) + (- 184b + 200a b)cosh(x) + 16b - 48a b + 32a ) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 280b cosh(x) + (- 360b + 440a b)cosh(x) +--R + +--R 2 2 +--R (80b - 240a b + 160a )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 280b cosh(x) + (- 440b + 600a b)cosh(x) +--R + +--R 2 2 2 2 +--R (168b - 480a b + 320a )cosh(x) - 8b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 168b cosh(x) + (- 328b + 488a b)cosh(x) +--R + +--R 2 2 3 2 +--R (184b - 480a b + 320a )cosh(x) + (- 24b + 24a b)cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 56b cosh(x) + (- 136b + 216a b)cosh(x) +--R + +--R 2 2 4 2 2 +--R (104b - 240a b + 160a )cosh(x) + (- 24b + 24a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 9 2 7 2 2 5 +--R 8b cosh(x) + (- 24b + 40a b)cosh(x) + (24b - 48a b + 32a )cosh(x) +--R + +--R 2 3 +--R (- 8b + 8a b)cosh(x) +--R Type: Expression Integer +--E 290 + +--S 291 of 552 +t0756:= sinh(x)^6/(a+b*sinh(x)^2) +--R +--R +--R 6 +--R sinh(x) +--R (283) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 291 + +--S 292 of 552 +r0756:= a^2*x/b^3+1/2*a*x/b^2+3/8*x/b-a^(5/2)*atan((-a+b)^(1/2)*_ + tanh(x)/a^(1/2))/b^3/(-a+b)^(1/2)-1/2*a*cosh(x)*_ + sinh(x)/b^2-3/8*cosh(x)*sinh(x)/b+1/4*cosh(x)*sinh(x)^3/b +--R +--R +--R (284) +--R +-----+ +--R 2 +-+ tanh(x)\|b - a +--R - 8a \|a atan(---------------) +--R +-+ +--R \|a +--R + +--R 2 3 2 +--R 2b cosh(x)sinh(x) + (- 3b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 +--R (3b + 4a b + 8a )x +--R * +--R +-----+ +--R \|b - a +--R / +--R 3 +-----+ +--R 8b \|b - a +--R Type: Expression Integer +--E 292 + +--S 293 of 552 +a0756:= integrate(t0756,x) +--R +--R +--R (285) +--R [ +--R 2 4 2 3 2 2 2 +--R 32a sinh(x) + 128a cosh(x)sinh(x) + 192a cosh(x) sinh(x) +--R + +--R 2 3 2 4 +--R 128a cosh(x) sinh(x) + 32a cosh(x) +--R * +--R +-------+ +--R | a +--R |- ----- +--R \| b - a +--R * +--R log +--R 2 2 2 +--R (- 4b + 4a b)sinh(x) + (- 8b + 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 4b + 4a b)cosh(x) + 4b - 12a b + 8a +--R * +--R +-------+ +--R | a +--R |- ----- +--R \| b - a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2 8 2 7 2 2 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) - 8b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (56b cosh(x) + (- 48b - 48a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (70b cosh(x) + (- 120b - 120a b)cosh(x) + (24b + 32a b + 64a )x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 56b cosh(x) + (- 160b - 160a b)cosh(x) +--R + +--R 2 2 +--R (96b + 128a b + 256a )x cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 28b cosh(x) + (- 120b - 120a b)cosh(x) +--R + +--R 2 2 2 2 +--R (144b + 192a b + 384a )x cosh(x) + 8b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 8b cosh(x) + (- 48b - 48a b)cosh(x) +--R + +--R 2 2 3 2 +--R (96b + 128a b + 256a )x cosh(x) + (16b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 4 +--R b cosh(x) + (- 8b - 8a b)cosh(x) + (24b + 32a b + 64a )x cosh(x) +--R + +--R 2 2 2 +--R (8b + 8a b)cosh(x) - b +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R , +--R +--R 2 4 2 3 2 2 2 +--R 64a sinh(x) + 256a cosh(x)sinh(x) + 384a cosh(x) sinh(x) +--R + +--R 2 3 2 4 +--R 256a cosh(x) sinh(x) + 64a cosh(x) +--R * +--R +-----+ +--R | a +--R +-----+ (2b - 2a) |----- +--R | a \|b - a +--R |----- atan(----------------------------------------------------) +--R \|b - a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a +--R + +--R 2 8 2 7 2 2 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) - 8b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (56b cosh(x) + (- 48b - 48a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (70b cosh(x) + (- 120b - 120a b)cosh(x) + (24b + 32a b + 64a )x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 56b cosh(x) + (- 160b - 160a b)cosh(x) +--R + +--R 2 2 +--R (96b + 128a b + 256a )x cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 28b cosh(x) + (- 120b - 120a b)cosh(x) +--R + +--R 2 2 2 2 +--R (144b + 192a b + 384a )x cosh(x) + 8b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 8b cosh(x) + (- 48b - 48a b)cosh(x) +--R + +--R 2 2 3 2 +--R (96b + 128a b + 256a )x cosh(x) + (16b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 4 +--R b cosh(x) + (- 8b - 8a b)cosh(x) + (24b + 32a b + 64a )x cosh(x) +--R + +--R 2 2 2 +--R (8b + 8a b)cosh(x) - b +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R ] +--R Type: Union(List Expression Integer,...) +--E 293 + +--S 294 of 552 +m0756a:= a0756.1-r0756 +--R +--R +--R (286) +--R 2 4 2 3 2 2 2 +--R 32a sinh(x) + 128a cosh(x)sinh(x) + 192a cosh(x) sinh(x) +--R + +--R 2 3 2 4 +--R 128a cosh(x) sinh(x) + 32a cosh(x) +--R * +--R +-------+ +--R | a +-----+ +--R |- ----- \|b - a +--R \| b - a +--R * +--R log +--R 2 2 2 +--R (- 4b + 4a b)sinh(x) + (- 8b + 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 4b + 4a b)cosh(x) + 4b - 12a b + 8a +--R * +--R +-------+ +--R | a +--R |- ----- +--R \| b - a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2 4 2 3 2 2 2 +--R 64a sinh(x) + 256a cosh(x)sinh(x) + 384a cosh(x) sinh(x) +--R + +--R 2 3 2 4 +--R 256a cosh(x) sinh(x) + 64a cosh(x) +--R * +--R +-----+ +--R +-+ tanh(x)\|b - a +--R \|a atan(---------------) +--R +-+ +--R \|a +--R + +--R 2 8 2 7 +--R b sinh(x) - 8b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (- 36b cosh(x) - 8b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (- 40b cosh(x) + (- 24b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 4 +--R (6b cosh(x) + (- 24b + 8a b)cosh(x) )sinh(x) +--R + +--R 2 5 2 3 3 +--R (40b cosh(x) + (- 16b + 32a b)cosh(x) )sinh(x) +--R + +--R 2 6 2 4 2 2 +--R (28b cosh(x) + (- 24b + 8a b)cosh(x) + 8b + 8a b)sinh(x) +--R + +--R 2 7 2 5 2 +--R (8b cosh(x) + (- 24b - 16a b)cosh(x) + (16b + 16a b)cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 2 +--R b cosh(x) + (- 8b - 8a b)cosh(x) + (8b + 8a b)cosh(x) - b +--R * +--R +-----+ +--R \|b - a +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R * +--R +-----+ +--R \|b - a +--R Type: Expression Integer +--E 294 + +--S 295 of 552 +d0756a:= D(m0756a,x) +--R +--R +--R (287) +--R 3 2 12 3 2 11 +--R (- 3b + 3a b )sinh(x) + (- 20b + 20a b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 10 +--R ((- 58b + 58a b )cosh(x) + 8b - 16a b + 8a b)sinh(x) +--R + +--R 3 2 3 3 2 2 +--R ((- 100b + 100a b )cosh(x) + (36b - 68a b + 32a b)cosh(x)) +--R * +--R 9 +--R sinh(x) +--R + +--R 3 2 4 3 2 2 2 +--R (- 121b + 121a b )cosh(x) + (48b - 104a b + 56a b)cosh(x) +--R + +--R 3 2 2 3 +--R - 7b + 7a b + 16a b - 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (- 104b + 104a b )cosh(x) + (- 32b - 64a b + 96a b)cosh(x) +--R + +--R 3 2 3 +--R (- 16b + 80a b - 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (- 28b + 28a b )cosh(x) + (- 192b + 16a b + 176a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 3 +--R (24b - 120a b + 160a b - 512a )cosh(x) - 2b + 2a b - 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 7 3 2 2 5 +--R (88b - 88a b )cosh(x) + (- 312b + 152a b + 160a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (128b - 368a b + 176a b - 832a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 24b + 8a b + 16a b - 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 8 3 2 2 6 +--R (155b - 155a b )cosh(x) + (- 304b + 352a b - 48a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (194b - 514a b + 160a b - 960a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 78b + 14a b + 64a b - 480a )cosh(x) + 9b - 17a b - 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 9 3 2 2 7 +--R (124b - 124a b )cosh(x) + (- 192b + 416a b - 224a b)cosh(x) +--R + +--R 3 2 2 3 5 +--R (144b - 384a b + 176a b - 832a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 112b + 16a b + 96a b - 640a )cosh(x) +--R + +--R 3 2 2 +--R (36b - 68a b - 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 10 3 2 2 8 +--R (54b - 54a b )cosh(x) + (- 72b + 256a b - 184a b)cosh(x) +--R + +--R 3 2 2 3 6 +--R (48b - 144a b + 160a b - 512a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 78b + 14a b + 64a b - 480a )cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (54b - 102a b - 48a b)cosh(x) - 6b + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 11 3 2 2 9 +--R (12b - 12a b )cosh(x) + (- 12b + 76a b - 64a b)cosh(x) +--R + +--R 2 2 3 7 +--R (- 16a b + 80a b - 192a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 24b + 8a b + 16a b - 192a )cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (36b - 68a b - 32a b)cosh(x) + (- 12b + 12a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 12 2 2 10 +--R (b - a b )cosh(x) + (8a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 3b + 3a b + 16a b - 32a )cosh(x) +--R + +--R 3 2 3 6 3 2 2 4 +--R (- 2b + 2a b - 32a )cosh(x) + (9b - 17a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 6b + 6a b )cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 12 2 11 +--R - 3a b sinh(x) - 20a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 10 +--R (- 58a b cosh(x) + 8a b - 8a b)sinh(x) +--R + +--R 2 3 2 2 9 +--R (- 100a b cosh(x) + (36a b - 32a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 3 8 +--R (- 121a b cosh(x) + (48a b - 56a b)cosh(x) - 7a b + 32a )sinh(x) +--R + +--R 2 5 2 2 3 +--R - 104a b cosh(x) + (- 32a b - 96a b)cosh(x) +--R + +--R 2 2 3 +--R (- 16a b - 16a b + 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R - 28a b cosh(x) + (- 192a b - 176a b)cosh(x) +--R + +--R 2 2 3 2 2 3 +--R (24a b - 96a b + 512a )cosh(x) - 2a b - 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R 88a b cosh(x) + (- 312a b - 160a b)cosh(x) +--R + +--R 2 2 3 3 2 2 3 +--R (128a b - 240a b + 832a )cosh(x) + (- 24a b - 16a b - 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R 155a b cosh(x) + (- 304a b + 48a b)cosh(x) +--R + +--R 2 2 3 4 +--R (194a b - 320a b + 960a )cosh(x) +--R + +--R 2 2 3 2 2 2 +--R (- 78a b - 64a b - 480a )cosh(x) + 9a b - 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 9 2 2 7 +--R 124a b cosh(x) + (- 192a b + 224a b)cosh(x) +--R + +--R 2 2 3 5 +--R (144a b - 240a b + 832a )cosh(x) +--R + +--R 2 2 3 3 2 2 +--R (- 112a b - 96a b - 640a )cosh(x) + (36a b - 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 10 2 2 8 +--R 54a b cosh(x) + (- 72a b + 184a b)cosh(x) +--R + +--R 2 2 3 6 2 2 3 4 +--R (48a b - 96a b + 512a )cosh(x) + (- 78a b - 64a b - 480a )cosh(x) +--R + +--R 2 2 2 2 +--R (54a b - 48a b)cosh(x) - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 11 2 2 9 +--R 12a b cosh(x) + (- 12a b + 64a b)cosh(x) +--R + +--R 2 3 7 2 2 3 5 +--R (- 16a b + 192a )cosh(x) + (- 24a b - 16a b - 192a )cosh(x) +--R + +--R 2 2 3 2 +--R (36a b - 32a b)cosh(x) - 12a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 12 2 10 2 3 8 +--R a b cosh(x) + 8a b cosh(x) + (- 3a b + 32a )cosh(x) +--R + +--R 2 3 6 2 2 4 2 2 2 +--R (- 2a b - 32a )cosh(x) + (9a b - 8a b)cosh(x) - 6a b cosh(x) + a b +--R / +--R 4 3 8 4 3 7 +--R (16b - 16a b )sinh(x) + (128b - 128a b )cosh(x)sinh(x) +--R + +--R 4 3 2 4 3 2 2 6 +--R ((448b - 448a b )cosh(x) - 32b + 96a b - 64a b )sinh(x) +--R + +--R 4 3 3 4 3 2 2 +--R ((896b - 896a b )cosh(x) + (- 192b + 576a b - 384a b )cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 4 +--R (1120b - 1120a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 480b + 1440a b - 960a b )cosh(x) + 16b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 5 +--R (896b - 896a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 640b + 1920a b - 1280a b )cosh(x) + (64b - 64a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 6 +--R (448b - 448a b )cosh(x) +--R + +--R 4 3 2 2 4 4 3 2 +--R (- 480b + 1440a b - 960a b )cosh(x) + (96b - 96a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 7 4 3 2 2 5 +--R (128b - 128a b )cosh(x) + (- 192b + 576a b - 384a b )cosh(x) +--R + +--R 4 3 3 +--R (64b - 64a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 8 4 3 2 2 6 +--R (16b - 16a b )cosh(x) + (- 32b + 96a b - 64a b )cosh(x) +--R + +--R 4 3 4 +--R (16b - 16a b )cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 3 8 3 7 +--R 16a b sinh(x) + 128a b cosh(x)sinh(x) +--R + +--R 3 2 3 2 2 6 +--R (448a b cosh(x) - 32a b + 64a b )sinh(x) +--R + +--R 3 3 3 2 2 5 +--R (896a b cosh(x) + (- 192a b + 384a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 2 3 4 +--R (1120a b cosh(x) + (- 480a b + 960a b )cosh(x) + 16a b )sinh(x) +--R + +--R 3 5 3 2 2 3 3 +--R (896a b cosh(x) + (- 640a b + 1280a b )cosh(x) + 64a b cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 3 2 2 4 3 2 +--R (448a b cosh(x) + (- 480a b + 960a b )cosh(x) + 96a b cosh(x) ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 3 2 2 5 3 3 +--R (128a b cosh(x) + (- 192a b + 384a b )cosh(x) + 64a b cosh(x) )sinh(x) +--R + +--R 3 8 3 2 2 6 3 4 +--R 16a b cosh(x) + (- 32a b + 64a b )cosh(x) + 16a b cosh(x) +--R Type: Expression Integer +--E 295 + +--S 296 of 552 +m0756b:= a0756.2-r0756 +--R +--R +--R (288) +--R 2 4 2 3 2 2 2 +--R 64a sinh(x) + 256a cosh(x)sinh(x) + 384a cosh(x) sinh(x) +--R + +--R 2 3 2 4 +--R 256a cosh(x) sinh(x) + 64a cosh(x) +--R * +--R +-----+ +--R +-+ tanh(x)\|b - a +--R \|a atan(---------------) +--R +-+ +--R \|a +--R + +--R 2 4 2 3 2 2 2 +--R 64a sinh(x) + 256a cosh(x)sinh(x) + 384a cosh(x) sinh(x) +--R + +--R 2 3 2 4 +--R 256a cosh(x) sinh(x) + 64a cosh(x) +--R * +--R +-----+ +--R | a +-----+ +--R |----- \|b - a +--R \|b - a +--R * +--R +-----+ +--R | a +--R (2b - 2a) |----- +--R \|b - a +--R atan(----------------------------------------------------) +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a +--R + +--R 2 8 2 7 +--R b sinh(x) - 8b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (- 36b cosh(x) - 8b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (- 40b cosh(x) + (- 24b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 4 +--R (6b cosh(x) + (- 24b + 8a b)cosh(x) )sinh(x) +--R + +--R 2 5 2 3 3 +--R (40b cosh(x) + (- 16b + 32a b)cosh(x) )sinh(x) +--R + +--R 2 6 2 4 2 2 +--R (28b cosh(x) + (- 24b + 8a b)cosh(x) + 8b + 8a b)sinh(x) +--R + +--R 2 7 2 5 2 +--R (8b cosh(x) + (- 24b - 16a b)cosh(x) + (16b + 16a b)cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 2 +--R b cosh(x) + (- 8b - 8a b)cosh(x) + (8b + 8a b)cosh(x) - b +--R * +--R +-----+ +--R \|b - a +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R * +--R +-----+ +--R \|b - a +--R Type: Expression Integer +--E 296 + +--S 297 of 552 +d0756b:= D(m0756b,x) +--R +--R +--R (289) +--R 3 2 12 3 2 11 +--R (- 3b + 3a b )sinh(x) + (- 20b + 20a b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 10 +--R ((- 58b + 58a b )cosh(x) + 8b - 16a b + 8a b)sinh(x) +--R + +--R 3 2 3 3 2 2 +--R ((- 100b + 100a b )cosh(x) + (36b - 68a b + 32a b)cosh(x)) +--R * +--R 9 +--R sinh(x) +--R + +--R 3 2 4 3 2 2 2 +--R (- 121b + 121a b )cosh(x) + (48b - 104a b + 56a b)cosh(x) +--R + +--R 3 2 2 3 +--R - 7b + 7a b + 16a b - 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (- 104b + 104a b )cosh(x) + (- 32b - 64a b + 96a b)cosh(x) +--R + +--R 3 2 3 +--R (- 16b + 80a b - 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (- 28b + 28a b )cosh(x) + (- 192b + 16a b + 176a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 3 +--R (24b - 120a b + 160a b - 512a )cosh(x) - 2b + 2a b - 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 7 3 2 2 5 +--R (88b - 88a b )cosh(x) + (- 312b + 152a b + 160a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (128b - 368a b + 176a b - 832a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 24b + 8a b + 16a b - 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 8 3 2 2 6 +--R (155b - 155a b )cosh(x) + (- 304b + 352a b - 48a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (194b - 514a b + 160a b - 960a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 78b + 14a b + 64a b - 480a )cosh(x) + 9b - 17a b - 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 9 3 2 2 7 +--R (124b - 124a b )cosh(x) + (- 192b + 416a b - 224a b)cosh(x) +--R + +--R 3 2 2 3 5 +--R (144b - 384a b + 176a b - 832a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 112b + 16a b + 96a b - 640a )cosh(x) +--R + +--R 3 2 2 +--R (36b - 68a b - 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 10 3 2 2 8 +--R (54b - 54a b )cosh(x) + (- 72b + 256a b - 184a b)cosh(x) +--R + +--R 3 2 2 3 6 +--R (48b - 144a b + 160a b - 512a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 78b + 14a b + 64a b - 480a )cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (54b - 102a b - 48a b)cosh(x) - 6b + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 11 3 2 2 9 +--R (12b - 12a b )cosh(x) + (- 12b + 76a b - 64a b)cosh(x) +--R + +--R 2 2 3 7 +--R (- 16a b + 80a b - 192a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 24b + 8a b + 16a b - 192a )cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (36b - 68a b - 32a b)cosh(x) + (- 12b + 12a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 12 2 2 10 +--R (b - a b )cosh(x) + (8a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 3b + 3a b + 16a b - 32a )cosh(x) +--R + +--R 3 2 3 6 3 2 2 4 +--R (- 2b + 2a b - 32a )cosh(x) + (9b - 17a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 6b + 6a b )cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 12 2 11 +--R - 3a b sinh(x) - 20a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 10 +--R (- 58a b cosh(x) + 8a b - 8a b)sinh(x) +--R + +--R 2 3 2 2 9 +--R (- 100a b cosh(x) + (36a b - 32a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 3 8 +--R (- 121a b cosh(x) + (48a b - 56a b)cosh(x) - 7a b + 32a )sinh(x) +--R + +--R 2 5 2 2 3 +--R - 104a b cosh(x) + (- 32a b - 96a b)cosh(x) +--R + +--R 2 2 3 +--R (- 16a b - 16a b + 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R - 28a b cosh(x) + (- 192a b - 176a b)cosh(x) +--R + +--R 2 2 3 2 2 3 +--R (24a b - 96a b + 512a )cosh(x) - 2a b - 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R 88a b cosh(x) + (- 312a b - 160a b)cosh(x) +--R + +--R 2 2 3 3 2 2 3 +--R (128a b - 240a b + 832a )cosh(x) + (- 24a b - 16a b - 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R 155a b cosh(x) + (- 304a b + 48a b)cosh(x) +--R + +--R 2 2 3 4 +--R (194a b - 320a b + 960a )cosh(x) +--R + +--R 2 2 3 2 2 2 +--R (- 78a b - 64a b - 480a )cosh(x) + 9a b - 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 9 2 2 7 +--R 124a b cosh(x) + (- 192a b + 224a b)cosh(x) +--R + +--R 2 2 3 5 +--R (144a b - 240a b + 832a )cosh(x) +--R + +--R 2 2 3 3 2 2 +--R (- 112a b - 96a b - 640a )cosh(x) + (36a b - 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 10 2 2 8 +--R 54a b cosh(x) + (- 72a b + 184a b)cosh(x) +--R + +--R 2 2 3 6 2 2 3 4 +--R (48a b - 96a b + 512a )cosh(x) + (- 78a b - 64a b - 480a )cosh(x) +--R + +--R 2 2 2 2 +--R (54a b - 48a b)cosh(x) - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 11 2 2 9 +--R 12a b cosh(x) + (- 12a b + 64a b)cosh(x) +--R + +--R 2 3 7 2 2 3 5 +--R (- 16a b + 192a )cosh(x) + (- 24a b - 16a b - 192a )cosh(x) +--R + +--R 2 2 3 2 +--R (36a b - 32a b)cosh(x) - 12a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 12 2 10 2 3 8 +--R a b cosh(x) + 8a b cosh(x) + (- 3a b + 32a )cosh(x) +--R + +--R 2 3 6 2 2 4 2 2 2 +--R (- 2a b - 32a )cosh(x) + (9a b - 8a b)cosh(x) - 6a b cosh(x) + a b +--R / +--R 4 3 8 4 3 7 +--R (16b - 16a b )sinh(x) + (128b - 128a b )cosh(x)sinh(x) +--R + +--R 4 3 2 4 3 2 2 6 +--R ((448b - 448a b )cosh(x) - 32b + 96a b - 64a b )sinh(x) +--R + +--R 4 3 3 4 3 2 2 +--R ((896b - 896a b )cosh(x) + (- 192b + 576a b - 384a b )cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 4 +--R (1120b - 1120a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 480b + 1440a b - 960a b )cosh(x) + 16b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 5 +--R (896b - 896a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 640b + 1920a b - 1280a b )cosh(x) + (64b - 64a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 6 +--R (448b - 448a b )cosh(x) +--R + +--R 4 3 2 2 4 4 3 2 +--R (- 480b + 1440a b - 960a b )cosh(x) + (96b - 96a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 7 4 3 2 2 5 +--R (128b - 128a b )cosh(x) + (- 192b + 576a b - 384a b )cosh(x) +--R + +--R 4 3 3 +--R (64b - 64a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 8 4 3 2 2 6 +--R (16b - 16a b )cosh(x) + (- 32b + 96a b - 64a b )cosh(x) +--R + +--R 4 3 4 +--R (16b - 16a b )cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 3 8 3 7 +--R 16a b sinh(x) + 128a b cosh(x)sinh(x) +--R + +--R 3 2 3 2 2 6 +--R (448a b cosh(x) - 32a b + 64a b )sinh(x) +--R + +--R 3 3 3 2 2 5 +--R (896a b cosh(x) + (- 192a b + 384a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 2 3 4 +--R (1120a b cosh(x) + (- 480a b + 960a b )cosh(x) + 16a b )sinh(x) +--R + +--R 3 5 3 2 2 3 3 +--R (896a b cosh(x) + (- 640a b + 1280a b )cosh(x) + 64a b cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 3 2 2 4 3 2 +--R (448a b cosh(x) + (- 480a b + 960a b )cosh(x) + 96a b cosh(x) ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 3 2 2 5 3 3 +--R (128a b cosh(x) + (- 192a b + 384a b )cosh(x) + 64a b cosh(x) )sinh(x) +--R + +--R 3 8 3 2 2 6 3 4 +--R 16a b cosh(x) + (- 32a b + 64a b )cosh(x) + 16a b cosh(x) +--R Type: Expression Integer +--E 297 + +--S 298 of 552 +t0757:= sinh(x)^7/(a+b*sinh(x)^2) +--R +--R +--R 7 +--R sinh(x) +--R (290) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 298 + +--S 299 of 552 +r0757:= a^3*atanh((-b)^(1/2)*cosh(x)/(a-b)^(1/2))/(a-b)^(1/2)/(-b)^(7/2)+_ + a^2*cosh(x)/b^3+a*cosh(x)/b^2+cosh(x)/b-1/3*a*cosh(x)^3/b^2-_ + 2/3*cosh(x)^3/b+1/5*cosh(x)^5/b +--R +--R +--R (291) +--R +---+ +--R 3 cosh(x)\|- b +--R - 15a atanh(-------------) +--R +-------+ +--R \|- b + a +--R + +--R 2 5 2 3 2 2 +--R (3b cosh(x) + (- 10b - 5a b)cosh(x) + (15b + 15a b + 15a )cosh(x)) +--R * +--R +---+ +-------+ +--R \|- b \|- b + a +--R / +--R 3 +---+ +-------+ +--R 15b \|- b \|- b + a +--R Type: Expression Integer +--E 299 + +--S 300 of 552 +a0757:= integrate(t0757,x) +--R +--R +--R (292) +--R [ +--R 3 5 3 4 3 2 3 +--R 240a sinh(x) + 1200a cosh(x)sinh(x) + 2400a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 2400a cosh(x) sinh(x) + 1200a cosh(x) sinh(x) + 240a cosh(x) +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (6b - 4a)cosh(x) + b +--R * +--R +--------+ +--R | 2 +--R \|b - a b +--R + +--R 2 3 2 2 +--R (4b - 4a b)sinh(x) + (12b - 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((12b - 12a b)cosh(x) + 4b - 4a b)sinh(x) +--R + +--R 2 3 2 +--R (4b - 4a b)cosh(x) + (4b - 4a b)cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2 10 2 9 +--R 3b sinh(x) + 30b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (135b cosh(x) - 25b - 20a b)sinh(x) +--R + +--R 2 3 2 7 +--R (360b cosh(x) + (- 200b - 160a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 630b cosh(x) + (- 700b - 560a b)cosh(x) + 150b + 180a b +--R + +--R 2 +--R 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 756b cosh(x) + (- 1400b - 1120a b)cosh(x) +--R + +--R 2 2 +--R (900b + 1080a b + 1440a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 630b cosh(x) + (- 1750b - 1400a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (2250b + 2700a b + 3600a )cosh(x) + 150b + 180a b + 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 360b cosh(x) + (- 1400b - 1120a b)cosh(x) +--R + +--R 2 2 3 +--R (3000b + 3600a b + 4800a )cosh(x) +--R + +--R 2 2 +--R (600b + 720a b + 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 135b cosh(x) + (- 700b - 560a b)cosh(x) +--R + +--R 2 2 4 +--R (2250b + 2700a b + 3600a )cosh(x) +--R + +--R 2 2 2 2 +--R (900b + 1080a b + 1440a )cosh(x) - 25b - 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 30b cosh(x) + (- 200b - 160a b)cosh(x) +--R + +--R 2 2 5 +--R (900b + 1080a b + 1440a )cosh(x) +--R + +--R 2 2 3 2 +--R (600b + 720a b + 960a )cosh(x) + (- 50b - 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R 3b cosh(x) + (- 25b - 20a b)cosh(x) +--R + +--R 2 2 6 2 2 4 +--R (150b + 180a b + 240a )cosh(x) + (150b + 180a b + 240a )cosh(x) +--R + +--R 2 2 2 +--R (- 25b - 20a b)cosh(x) + 3b +--R * +--R +--------+ +--R | 2 +--R \|b - a b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +--------+ +--R | 2 +--R \|b - a b +--R , +--R +--R 3 5 3 4 3 2 3 +--R 480a sinh(x) + 2400a cosh(x)sinh(x) + 4800a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800a cosh(x) sinh(x) + 2400a cosh(x) sinh(x) + 480a cosh(x) +--R * +--R +----------+ +--R | 2 +--R (sinh(x) + cosh(x))\|- b + a b +--R atan(--------------------------------) +--R 2b - 2a +--R + +--R 3 5 3 4 3 2 3 +--R 480a sinh(x) + 2400a cosh(x)sinh(x) + 4800a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800a cosh(x) sinh(x) + 2400a cosh(x) sinh(x) + 480a cosh(x) +--R * +--R atan +--R 3 2 +--R b sinh(x) + 3b cosh(x)sinh(x) +--R + +--R 2 3 +--R (3b cosh(x) - 3b + 4a)sinh(x) + b cosh(x) + (- 3b + 4a)cosh(x) +--R / +--R +----------+ +--R | 2 +--R 2\|- b + a b +--R + +--R 2 10 2 9 +--R 3b sinh(x) + 30b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (135b cosh(x) - 25b - 20a b)sinh(x) +--R + +--R 2 3 2 7 +--R (360b cosh(x) + (- 200b - 160a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 630b cosh(x) + (- 700b - 560a b)cosh(x) + 150b + 180a b +--R + +--R 2 +--R 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 756b cosh(x) + (- 1400b - 1120a b)cosh(x) +--R + +--R 2 2 +--R (900b + 1080a b + 1440a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 630b cosh(x) + (- 1750b - 1400a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (2250b + 2700a b + 3600a )cosh(x) + 150b + 180a b + 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 360b cosh(x) + (- 1400b - 1120a b)cosh(x) +--R + +--R 2 2 3 +--R (3000b + 3600a b + 4800a )cosh(x) +--R + +--R 2 2 +--R (600b + 720a b + 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 135b cosh(x) + (- 700b - 560a b)cosh(x) +--R + +--R 2 2 4 +--R (2250b + 2700a b + 3600a )cosh(x) +--R + +--R 2 2 2 2 +--R (900b + 1080a b + 1440a )cosh(x) - 25b - 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 30b cosh(x) + (- 200b - 160a b)cosh(x) +--R + +--R 2 2 5 +--R (900b + 1080a b + 1440a )cosh(x) +--R + +--R 2 2 3 2 +--R (600b + 720a b + 960a )cosh(x) + (- 50b - 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R 3b cosh(x) + (- 25b - 20a b)cosh(x) +--R + +--R 2 2 6 2 2 4 +--R (150b + 180a b + 240a )cosh(x) + (150b + 180a b + 240a )cosh(x) +--R + +--R 2 2 2 +--R (- 25b - 20a b)cosh(x) + 3b +--R * +--R +----------+ +--R | 2 +--R \|- b + a b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +----------+ +--R | 2 +--R \|- b + a b +--R ] +--R Type: Union(List Expression Integer,...) +--E 300 + +--S 301 of 552 +m0757a:= a0757.1-r0757 +--R +--R +--R (293) +--R 3 5 3 4 3 2 3 +--R 240a sinh(x) + 1200a cosh(x)sinh(x) + 2400a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 2400a cosh(x) sinh(x) + 1200a cosh(x) sinh(x) + 240a cosh(x) +--R * +--R +---+ +-------+ +--R \|- b \|- b + a +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (6b - 4a)cosh(x) + b +--R * +--R +--------+ +--R | 2 +--R \|b - a b +--R + +--R 2 3 2 2 +--R (4b - 4a b)sinh(x) + (12b - 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((12b - 12a b)cosh(x) + 4b - 4a b)sinh(x) +--R + +--R 2 3 2 +--R (4b - 4a b)cosh(x) + (4b - 4a b)cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 3 5 3 4 3 2 3 +--R 480a sinh(x) + 2400a cosh(x)sinh(x) + 4800a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800a cosh(x) sinh(x) + 2400a cosh(x) sinh(x) + 480a cosh(x) +--R * +--R +--------+ +---+ +--R | 2 cosh(x)\|- b +--R \|b - a b atanh(-------------) +--R +-------+ +--R \|- b + a +--R + +--R 2 10 2 9 +--R 3b sinh(x) + 30b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (135b cosh(x) - 25b - 20a b)sinh(x) +--R + +--R 2 3 2 7 +--R (360b cosh(x) + (- 200b - 160a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 630b cosh(x) + (- 700b - 560a b)cosh(x) + 150b + 180a b +--R + +--R 2 +--R 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 660b cosh(x) + (- 1080b - 960a b)cosh(x) +--R + +--R 2 2 +--R (420b + 600a b + 960a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 150b cosh(x) + (- 150b - 600a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 150b + 300a b + 1200a )cosh(x) + 150b + 180a b + 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R - 600b cosh(x) + (1800b + 480a b)cosh(x) +--R + +--R 2 3 2 2 +--R (- 1800b - 1200a b)cosh(x) + (600b + 720a b + 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R - 825b cosh(x) + (2500b + 1040a b)cosh(x) +--R + +--R 2 2 4 +--R (- 2550b - 2100a b - 1200a )cosh(x) +--R + +--R 2 2 2 2 +--R (900b + 1080a b + 1440a )cosh(x) - 25b - 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R - 450b cosh(x) + (1400b + 640a b)cosh(x) +--R + +--R 2 2 5 +--R (- 1500b - 1320a b - 960a )cosh(x) +--R + +--R 2 2 3 2 +--R (600b + 720a b + 960a )cosh(x) + (- 50b - 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R - 93b cosh(x) + (295b + 140a b)cosh(x) +--R + +--R 2 2 6 2 2 4 +--R (- 330b - 300a b - 240a )cosh(x) + (150b + 180a b + 240a )cosh(x) +--R + +--R 2 2 2 +--R (- 25b - 20a b)cosh(x) + 3b +--R * +--R +--------+ +--R +---+ +-------+ | 2 +--R \|- b \|- b + a \|b - a b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +--------+ +--R +---+ +-------+ | 2 +--R \|- b \|- b + a \|b - a b +--R Type: Expression Integer +--E 301 + +--S 302 of 552 +d0757a:= D(m0757a,x) +--R +--R +--R (294) +--R 2 14 +--R (b cosh(x) - b + a)sinh(x) +--R + +--R 3 13 +--R (14b cosh(x) + (- 14b + 14a)cosh(x))sinh(x) +--R + +--R 4 2 12 +--R (91b cosh(x) + (- 98b + 91a)cosh(x) + 7b - 7a)sinh(x) +--R + +--R 5 3 11 +--R (364b cosh(x) + (- 448b + 364a)cosh(x) + (84b - 84a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R 969b cosh(x) + (- 1367b + 1001a)cosh(x) + (387b - 462a)cosh(x) +--R + +--R 11b + 21a +--R * +--R 10 +--R sinh(x) +--R + +--R 7 5 3 +--R 1714b cosh(x) + (- 2678b + 2002a)cosh(x) + (886b - 1540a)cosh(x) +--R + +--R (78b + 210a)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 8 6 4 +--R 1851b cosh(x) + (- 2948b + 2875a)cosh(x) + (762b - 3081a)cosh(x) +--R + +--R 2 +--R (364b + 561a)cosh(x) - 29b + 93a +--R * +--R 8 +--R sinh(x) +--R + +--R 9 7 5 +--R 744b cosh(x) + (- 464b + 2536a)cosh(x) + (- 1344b - 2856a)cosh(x) +--R + +--R 3 +--R (1232b - 168a)cosh(x) + (- 168b + 616a)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 10 8 +--R - 1029b cosh(x) + (3969b + 315a)cosh(x) +--R + +--R 6 4 +--R (- 5282b + 1596a)cosh(x) + (2770b - 3654a)cosh(x) +--R + +--R 2 +--R (- 425b + 1708a)cosh(x) - 3b + 35a +--R * +--R 6 +--R sinh(x) +--R + +--R 11 9 +--R - 2030b cosh(x) + (6790b - 2478a)cosh(x) +--R + +--R 7 5 +--R (- 8140b + 7896a)cosh(x) + (3980b - 8148a)cosh(x) +--R + +--R 3 +--R (- 550b + 2520a)cosh(x) + (- 50b + 210a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 12 10 +--R - 1687b cosh(x) + (5838b - 3479a)cosh(x) +--R + +--R 8 6 +--R (- 7229b + 9975a)cosh(x) + (3508b - 9030a)cosh(x) +--R + +--R 4 2 +--R (- 225b + 2030a)cosh(x) + (- 226b + 525a)cosh(x) + 21b - 21a +--R * +--R 4 +--R sinh(x) +--R + +--R 13 11 +--R - 788b cosh(x) + (2896b - 2324a)cosh(x) +--R + +--R 9 7 +--R (- 3748b + 6524a)cosh(x) + (1664b - 5544a)cosh(x) +--R + +--R 5 3 +--R (356b + 728a)cosh(x) + (- 464b + 700a)cosh(x) + (84b - 84a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 14 12 10 +--R - 197b cosh(x) + (759b - 805a)cosh(x) + (- 961b + 2226a)cosh(x) +--R + +--R 8 6 +--R (187b - 1743a)cosh(x) + (577b - 84a)cosh(x) +--R + +--R 4 2 +--R (- 491b + 525a)cosh(x) + (133b - 126a)cosh(x) - 7b + 7a +--R * +--R 2 +--R sinh(x) +--R + +--R 15 13 11 +--R - 18b cosh(x) + (62b - 114a)cosh(x) + (- 26b + 300a)cosh(x) +--R + +--R 9 7 +--R (- 170b - 174a)cosh(x) + (330b - 152a)cosh(x) +--R + +--R 5 3 +--R (- 262b + 210a)cosh(x) + (98b - 84a)cosh(x) + (- 14b + 14a)cosh(x) +--R * +--R sinh(x) +--R + +--R 16 14 12 +--R b cosh(x) + (- 8b + a)cosh(x) + (28b - 7a)cosh(x) +--R + +--R 10 8 6 +--R (- 56b + 21a)cosh(x) + (70b - 35a)cosh(x) + (- 56b + 35a)cosh(x) +--R + +--R 4 2 +--R (28b - 21a)cosh(x) + (- 8b + 7a)cosh(x) + b - a +--R / +--R 2 2 2 9 +--R (32b cosh(x) - 32b + 32a b)sinh(x) +--R + +--R 2 3 2 8 +--R (288b cosh(x) + (- 288b + 288a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (1152b cosh(x) + (- 1216b + 1280a b)cosh(x) + 64b - 192a b + 128a ) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 2688b cosh(x) + (- 3136b + 3584a b)cosh(x) +--R + +--R 2 2 +--R (448b - 1344a b + 896a )cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 4032b cosh(x) + (- 5376b + 6720a b)cosh(x) +--R + +--R 2 2 2 2 +--R (1376b - 4032a b + 2688a )cosh(x) - 32b + 32a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 4032b cosh(x) + (- 6272b + 8512a b)cosh(x) +--R + +--R 2 2 3 2 +--R (2400b - 6720a b + 4480a )cosh(x) + (- 160b + 160a b)cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 2688b cosh(x) + (- 4928b + 7168a b)cosh(x) +--R + +--R 2 2 4 2 2 +--R (2560b - 6720a b + 4480a )cosh(x) + (- 320b + 320a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 1152b cosh(x) + (- 2496b + 3840a b)cosh(x) +--R + +--R 2 2 5 2 3 +--R (1664b - 4032a b + 2688a )cosh(x) + (- 320b + 320a b)cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 10 2 8 +--R 288b cosh(x) + (- 736b + 1184a b)cosh(x) +--R + +--R 2 2 6 2 4 +--R (608b - 1344a b + 896a )cosh(x) + (- 160b + 160a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 11 2 9 +--R 32b cosh(x) + (- 96b + 160a b)cosh(x) +--R + +--R 2 2 7 2 5 +--R (96b - 192a b + 128a )cosh(x) + (- 32b + 32a b)cosh(x) +--R Type: Expression Integer +--E 302 + +--S 303 of 552 +m0757b:= a0757.2-r0757 +--R +--R +--R (295) +--R 3 5 3 4 3 2 3 +--R 480a sinh(x) + 2400a cosh(x)sinh(x) + 4800a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800a cosh(x) sinh(x) + 2400a cosh(x) sinh(x) + 480a cosh(x) +--R * +--R +----------+ +---+ +--R | 2 cosh(x)\|- b +--R \|- b + a b atanh(-------------) +--R +-------+ +--R \|- b + a +--R + +--R 3 5 3 4 3 2 3 +--R 480a sinh(x) + 2400a cosh(x)sinh(x) + 4800a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800a cosh(x) sinh(x) + 2400a cosh(x) sinh(x) + 480a cosh(x) +--R * +--R +----------+ +--R | 2 +--R +---+ +-------+ (sinh(x) + cosh(x))\|- b + a b +--R \|- b \|- b + a atan(--------------------------------) +--R 2b - 2a +--R + +--R 3 5 3 4 3 2 3 +--R 480a sinh(x) + 2400a cosh(x)sinh(x) + 4800a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800a cosh(x) sinh(x) + 2400a cosh(x) sinh(x) + 480a cosh(x) +--R * +--R +---+ +-------+ +--R \|- b \|- b + a +--R * +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) - 3b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (- 3b + 4a)cosh(x) +--R / +--R +----------+ +--R | 2 +--R 2\|- b + a b +--R + +--R 2 10 2 9 +--R 3b sinh(x) + 30b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (135b cosh(x) - 25b - 20a b)sinh(x) +--R + +--R 2 3 2 7 +--R (360b cosh(x) + (- 200b - 160a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 630b cosh(x) + (- 700b - 560a b)cosh(x) + 150b + 180a b +--R + +--R 2 +--R 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 660b cosh(x) + (- 1080b - 960a b)cosh(x) +--R + +--R 2 2 +--R (420b + 600a b + 960a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 150b cosh(x) + (- 150b - 600a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 150b + 300a b + 1200a )cosh(x) + 150b + 180a b + 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R - 600b cosh(x) + (1800b + 480a b)cosh(x) +--R + +--R 2 3 2 2 +--R (- 1800b - 1200a b)cosh(x) + (600b + 720a b + 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R - 825b cosh(x) + (2500b + 1040a b)cosh(x) +--R + +--R 2 2 4 +--R (- 2550b - 2100a b - 1200a )cosh(x) +--R + +--R 2 2 2 2 +--R (900b + 1080a b + 1440a )cosh(x) - 25b - 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R - 450b cosh(x) + (1400b + 640a b)cosh(x) +--R + +--R 2 2 5 +--R (- 1500b - 1320a b - 960a )cosh(x) +--R + +--R 2 2 3 2 +--R (600b + 720a b + 960a )cosh(x) + (- 50b - 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R - 93b cosh(x) + (295b + 140a b)cosh(x) +--R + +--R 2 2 6 2 2 4 +--R (- 330b - 300a b - 240a )cosh(x) + (150b + 180a b + 240a )cosh(x) +--R + +--R 2 2 2 +--R (- 25b - 20a b)cosh(x) + 3b +--R * +--R +----------+ +--R | 2 +---+ +-------+ +--R \|- b + a b \|- b \|- b + a +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +----------+ +--R | 2 +---+ +-------+ +--R \|- b + a b \|- b \|- b + a +--R Type: Expression Integer +--E 303 + +--S 304 of 552 +d0757b:= D(m0757b,x) +--R +--R +--R (296) +--R 2 14 +--R (b cosh(x) - b + a)sinh(x) +--R + +--R 3 13 +--R (14b cosh(x) + (- 14b + 14a)cosh(x))sinh(x) +--R + +--R 4 2 12 +--R (91b cosh(x) + (- 98b + 91a)cosh(x) + 7b - 7a)sinh(x) +--R + +--R 5 3 11 +--R (364b cosh(x) + (- 448b + 364a)cosh(x) + (84b - 84a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R 969b cosh(x) + (- 1367b + 1001a)cosh(x) + (387b - 462a)cosh(x) +--R + +--R 11b + 21a +--R * +--R 10 +--R sinh(x) +--R + +--R 7 5 3 +--R 1714b cosh(x) + (- 2678b + 2002a)cosh(x) + (886b - 1540a)cosh(x) +--R + +--R (78b + 210a)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 8 6 4 +--R 1851b cosh(x) + (- 2948b + 2875a)cosh(x) + (762b - 3081a)cosh(x) +--R + +--R 2 +--R (364b + 561a)cosh(x) - 29b + 93a +--R * +--R 8 +--R sinh(x) +--R + +--R 9 7 5 +--R 744b cosh(x) + (- 464b + 2536a)cosh(x) + (- 1344b - 2856a)cosh(x) +--R + +--R 3 +--R (1232b - 168a)cosh(x) + (- 168b + 616a)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 10 8 +--R - 1029b cosh(x) + (3969b + 315a)cosh(x) +--R + +--R 6 4 +--R (- 5282b + 1596a)cosh(x) + (2770b - 3654a)cosh(x) +--R + +--R 2 +--R (- 425b + 1708a)cosh(x) - 3b + 35a +--R * +--R 6 +--R sinh(x) +--R + +--R 11 9 +--R - 2030b cosh(x) + (6790b - 2478a)cosh(x) +--R + +--R 7 5 +--R (- 8140b + 7896a)cosh(x) + (3980b - 8148a)cosh(x) +--R + +--R 3 +--R (- 550b + 2520a)cosh(x) + (- 50b + 210a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 12 10 +--R - 1687b cosh(x) + (5838b - 3479a)cosh(x) +--R + +--R 8 6 +--R (- 7229b + 9975a)cosh(x) + (3508b - 9030a)cosh(x) +--R + +--R 4 2 +--R (- 225b + 2030a)cosh(x) + (- 226b + 525a)cosh(x) + 21b - 21a +--R * +--R 4 +--R sinh(x) +--R + +--R 13 11 +--R - 788b cosh(x) + (2896b - 2324a)cosh(x) +--R + +--R 9 7 +--R (- 3748b + 6524a)cosh(x) + (1664b - 5544a)cosh(x) +--R + +--R 5 3 +--R (356b + 728a)cosh(x) + (- 464b + 700a)cosh(x) + (84b - 84a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 14 12 10 +--R - 197b cosh(x) + (759b - 805a)cosh(x) + (- 961b + 2226a)cosh(x) +--R + +--R 8 6 +--R (187b - 1743a)cosh(x) + (577b - 84a)cosh(x) +--R + +--R 4 2 +--R (- 491b + 525a)cosh(x) + (133b - 126a)cosh(x) - 7b + 7a +--R * +--R 2 +--R sinh(x) +--R + +--R 15 13 11 +--R - 18b cosh(x) + (62b - 114a)cosh(x) + (- 26b + 300a)cosh(x) +--R + +--R 9 7 +--R (- 170b - 174a)cosh(x) + (330b - 152a)cosh(x) +--R + +--R 5 3 +--R (- 262b + 210a)cosh(x) + (98b - 84a)cosh(x) + (- 14b + 14a)cosh(x) +--R * +--R sinh(x) +--R + +--R 16 14 12 +--R b cosh(x) + (- 8b + a)cosh(x) + (28b - 7a)cosh(x) +--R + +--R 10 8 6 +--R (- 56b + 21a)cosh(x) + (70b - 35a)cosh(x) + (- 56b + 35a)cosh(x) +--R + +--R 4 2 +--R (28b - 21a)cosh(x) + (- 8b + 7a)cosh(x) + b - a +--R / +--R 2 2 2 9 +--R (32b cosh(x) - 32b + 32a b)sinh(x) +--R + +--R 2 3 2 8 +--R (288b cosh(x) + (- 288b + 288a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (1152b cosh(x) + (- 1216b + 1280a b)cosh(x) + 64b - 192a b + 128a ) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 2688b cosh(x) + (- 3136b + 3584a b)cosh(x) +--R + +--R 2 2 +--R (448b - 1344a b + 896a )cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 4032b cosh(x) + (- 5376b + 6720a b)cosh(x) +--R + +--R 2 2 2 2 +--R (1376b - 4032a b + 2688a )cosh(x) - 32b + 32a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 4032b cosh(x) + (- 6272b + 8512a b)cosh(x) +--R + +--R 2 2 3 2 +--R (2400b - 6720a b + 4480a )cosh(x) + (- 160b + 160a b)cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 2688b cosh(x) + (- 4928b + 7168a b)cosh(x) +--R + +--R 2 2 4 2 2 +--R (2560b - 6720a b + 4480a )cosh(x) + (- 320b + 320a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 1152b cosh(x) + (- 2496b + 3840a b)cosh(x) +--R + +--R 2 2 5 2 3 +--R (1664b - 4032a b + 2688a )cosh(x) + (- 320b + 320a b)cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 10 2 8 +--R 288b cosh(x) + (- 736b + 1184a b)cosh(x) +--R + +--R 2 2 6 2 4 +--R (608b - 1344a b + 896a )cosh(x) + (- 160b + 160a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 11 2 9 +--R 32b cosh(x) + (- 96b + 160a b)cosh(x) +--R + +--R 2 2 7 2 5 +--R (96b - 192a b + 128a )cosh(x) + (- 32b + 32a b)cosh(x) +--R Type: Expression Integer +--E 304 + +--S 305 of 552 +t0758:= cosh(x)^2/(a+b*sinh(x)^2) +--R +--R +--R 2 +--R cosh(x) +--R (297) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 305 + +--S 306 of 552 +r0758:= x/b+(-a+b)^(1/2)*atan((-a+b)^(1/2)*tanh(x)/a^(1/2))/a^(1/2)/b +--R +--R +--R +-----+ +--R +-----+ tanh(x)\|b - a +-+ +--R \|b - a atan(---------------) + x\|a +--R +-+ +--R \|a +--R (298) ------------------------------------- +--R +-+ +--R b\|a +--R Type: Expression Integer +--E 306 + +--S 307 of 552 +a0758:= integrate(t0758,x) +--R +--R +--R (299) +--R [ +--R +-------+ +--R |- b + a +--R |------- +--R \| a +--R * +--R log +--R 2 2 +--R 4a b sinh(x) + 8a b cosh(x)sinh(x) + 4a b cosh(x) - 4a b +--R + +--R 2 +--R 8a +--R * +--R +-------+ +--R |- b + a +--R |------- +--R \| a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2x +--R / +--R 2b +--R , +--R +-----+ +--R |b - a +--R +-----+ 2a |----- +--R |b - a \| a +--R - |----- atan(----------------------------------------------------) + x +--R \| a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a +--R ------------------------------------------------------------------------] +--R b +--R Type: Union(List Expression Integer,...) +--E 307 + +--S 308 of 552 +m0758a:= a0758.1-r0758 +--R +--R +--R (300) +--R +-------+ +--R |- b + a +-+ +--R |------- \|a +--R \| a +--R * +--R log +--R 2 2 +--R 4a b sinh(x) + 8a b cosh(x)sinh(x) + 4a b cosh(x) - 4a b +--R + +--R 2 +--R 8a +--R * +--R +-------+ +--R |- b + a +--R |------- +--R \| a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R +-----+ +--R +-----+ tanh(x)\|b - a +--R - 2\|b - a atan(---------------) +--R +-+ +--R \|a +--R / +--R +-+ +--R 2b\|a +--R Type: Expression Integer +--E 308 + +--S 309 of 552 +d0758a:= D(m0758a,x) +--R +--R +--R (301) +--R 4 3 +--R (b - a)sinh(x) + (4b - 4a)cosh(x)sinh(x) +--R + +--R 2 2 +--R ((6b - 6a)cosh(x) + 2b - 2a)sinh(x) +--R + +--R 3 4 +--R ((4b - 4a)cosh(x) + (4b - 4a)cosh(x))sinh(x) + (b - a)cosh(x) +--R + +--R 2 +--R (2b - 2a)cosh(x) + b - a +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 +--R (- b + a)sinh(x) + (- 4b + 4a)cosh(x)sinh(x) +--R + +--R 2 2 +--R ((- 6b + 6a)cosh(x) + 2b - 2a)sinh(x) +--R + +--R 3 4 +--R ((- 4b + 4a)cosh(x) + (4b - 4a)cosh(x))sinh(x) + (- b + a)cosh(x) +--R + +--R 2 +--R (2b - 2a)cosh(x) - b + a +--R / +--R 2 4 2 3 +--R (b - a b)sinh(x) + (4b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a b)cosh(x) - 2b + 6a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((4b - 4a b)cosh(x) + (- 4b + 12a b - 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (b - a b)cosh(x) + (- 2b + 6a b - 4a )cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) - 2a b + 4a )sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (- 4a b + 8a )cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (- 2a b + 4a )cosh(x) + a b +--R Type: Expression Integer +--E 309 + +--S 310 of 552 +m0758b:= a0758.2-r0758 +--R +--R +--R (302) +--R +-----+ +--R +-----+ tanh(x)\|b - a +--R - \|b - a atan(---------------) +--R +-+ +--R \|a +--R + +--R +-----+ +--R |b - a +--R +-----+ 2a |----- +--R +-+ |b - a \| a +--R - \|a |----- atan(----------------------------------------------------) +--R \| a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a +--R / +--R +-+ +--R b\|a +--R Type: Expression Integer +--E 310 + +--S 311 of 552 +d0758b:= D(m0758b,x) +--R +--R +--R (303) +--R 4 3 +--R (b - a)sinh(x) + (4b - 4a)cosh(x)sinh(x) +--R + +--R 2 2 +--R ((6b - 6a)cosh(x) + 2b - 2a)sinh(x) +--R + +--R 3 4 +--R ((4b - 4a)cosh(x) + (4b - 4a)cosh(x))sinh(x) + (b - a)cosh(x) +--R + +--R 2 +--R (2b - 2a)cosh(x) + b - a +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 +--R (- b + a)sinh(x) + (- 4b + 4a)cosh(x)sinh(x) +--R + +--R 2 2 +--R ((- 6b + 6a)cosh(x) + 2b - 2a)sinh(x) +--R + +--R 3 4 +--R ((- 4b + 4a)cosh(x) + (4b - 4a)cosh(x))sinh(x) + (- b + a)cosh(x) +--R + +--R 2 +--R (2b - 2a)cosh(x) - b + a +--R / +--R 2 4 2 3 +--R (b - a b)sinh(x) + (4b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((6b - 6a b)cosh(x) - 2b + 6a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((4b - 4a b)cosh(x) + (- 4b + 12a b - 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (b - a b)cosh(x) + (- 2b + 6a b - 4a )cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) - 2a b + 4a )sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (- 4a b + 8a )cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (- 2a b + 4a )cosh(x) + a b +--R Type: Expression Integer +--E 311 + +--S 312 of 552 +t0759:= cosh(x)^3/(a+b*sinh(x)^2) +--R +--R +--R 3 +--R cosh(x) +--R (304) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 312 + +--S 313 of 552 +r0759:= -(a-b)*atan(b^(1/2)*sinh(x)/a^(1/2))/a^(1/2)/b^(3/2)+sinh(x)/b +--R +--R +--R +-+ +--R sinh(x)\|b +-+ +-+ +--R (b - a)atan(-----------) + sinh(x)\|a \|b +--R +-+ +--R \|a +--R (305) ------------------------------------------ +--R +-+ +-+ +--R b\|a \|b +--R Type: Expression Integer +--E 313 + +--S 314 of 552 +a0759:= integrate(t0759,x) +--R +--R +--R (306) +--R [ +--R ((b - a)sinh(x) + (b - a)cosh(x)) +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b - 4a)cosh(x) + b +--R * +--R +-----+ +--R \|- a b +--R + +--R 3 2 +--R 4a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 3 +--R (12a b cosh(x) - 4a b)sinh(x) + 4a b cosh(x) - 4a b cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2 2 +-----+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- a b +--R / +--R +-----+ +--R (2b sinh(x) + 2b cosh(x))\|- a b +--R , +--R +--R +---+ +--R (sinh(x) + cosh(x))\|a b +--R ((2b - 2a)sinh(x) + (2b - 2a)cosh(x))atan(-------------------------) +--R 2a +--R + +--R ((2b - 2a)sinh(x) + (2b - 2a)cosh(x)) +--R * +--R atan +--R 3 2 +--R b sinh(x) + 3b cosh(x)sinh(x) +--R + +--R 2 3 +--R (3b cosh(x) - b + 4a)sinh(x) + b cosh(x) + (- b + 4a)cosh(x) +--R / +--R +---+ +--R 2\|a b +--R + +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|a b +--R / +--R +---+ +--R (2b sinh(x) + 2b cosh(x))\|a b +--R ] +--R Type: Union(List Expression Integer,...) +--E 314 + +--S 315 of 552 +m0759a:= a0759.1-r0759 +--R +--R +--R (307) +--R +-+ +-+ +--R ((b - a)sinh(x) + (b - a)cosh(x))\|a \|b +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b - 4a)cosh(x) + b +--R * +--R +-----+ +--R \|- a b +--R + +--R 3 2 +--R 4a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 3 +--R (12a b cosh(x) - 4a b)sinh(x) + 4a b cosh(x) - 4a b cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R +-+ +--R +-----+ sinh(x)\|b +--R ((- 2b + 2a)sinh(x) + (- 2b + 2a)cosh(x))\|- a b atan(-----------) +--R +-+ +--R \|a +--R + +--R 2 2 +-----+ +-+ +-+ +--R (- sinh(x) + cosh(x) - 1)\|- a b \|a \|b +--R / +--R +-----+ +-+ +-+ +--R (2b sinh(x) + 2b cosh(x))\|- a b \|a \|b +--R Type: Expression Integer +--E 315 + +--S 316 of 552 +d0759a:= D(m0759a,x) +--R +--R +--R (308) +--R 8 7 2 6 +--R b sinh(x) + 4b cosh(x)sinh(x) + (5b cosh(x) + 3b + a)sinh(x) +--R + +--R 5 +--R (14b - 2a)cosh(x)sinh(x) +--R + +--R 4 2 4 +--R (- 5b cosh(x) + (20b - 9a)cosh(x) + 3b + 3a)sinh(x) +--R + +--R 5 3 3 +--R (- 4b cosh(x) + (4b - 4a)cosh(x) + (8b + 4a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (- b cosh(x) + (- 13b + 7a)cosh(x) + (13b - 6a)cosh(x) + b + 3a) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 +--R ((- 10b + 6a)cosh(x) + (12b - 12a)cosh(x) + (- 2b + 6a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (- 2b + a)cosh(x) + (4b - 5a)cosh(x) + (- 2b + 3a)cosh(x) + a +--R / +--R 2 7 2 6 2 2 2 5 +--R 2b sinh(x) + 10b cosh(x)sinh(x) + (20b cosh(x) - 4b + 10a b)sinh(x) +--R + +--R 2 3 2 4 +--R (20b cosh(x) + (- 12b + 34a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 3 +--R (10b cosh(x) + (- 12b + 44a b)cosh(x) + 2b - 4a b + 8a )sinh(x) +--R + +--R 2 5 2 3 2 2 +--R (2b cosh(x) + (- 4b + 28a b)cosh(x) + (2b - 12a b + 24a )cosh(x)) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 5 +--R (10a b cosh(x) + (- 12a b + 24a )cosh(x) + 2a b)sinh(x) + 2a b cosh(x) +--R + +--R 2 3 +--R (- 4a b + 8a )cosh(x) + 2a b cosh(x) +--R Type: Expression Integer +--E 316 + +--S 317 of 552 +m0759b:= a0759.2-r0759 +--R +--R +--R (309) +--R +-+ +-+ +--R ((2b - 2a)sinh(x) + (2b - 2a)cosh(x))\|a \|b +--R * +--R +---+ +--R (sinh(x) + cosh(x))\|a b +--R atan(-------------------------) +--R 2a +--R + +--R +-+ +--R +---+ sinh(x)\|b +--R ((- 2b + 2a)sinh(x) + (- 2b + 2a)cosh(x))\|a b atan(-----------) +--R +-+ +--R \|a +--R + +--R +-+ +-+ +--R ((2b - 2a)sinh(x) + (2b - 2a)cosh(x))\|a \|b +--R * +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) - b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (- b + 4a)cosh(x) +--R / +--R +---+ +--R 2\|a b +--R + +--R 2 2 +-+ +-+ +---+ +--R (- sinh(x) + cosh(x) - 1)\|a \|b \|a b +--R / +--R +-+ +-+ +---+ +--R (2b sinh(x) + 2b cosh(x))\|a \|b \|a b +--R Type: Expression Integer +--E 317 + +--S 318 of 552 +d0759b:= D(m0759b,x) +--R +--R +--R (310) +--R 8 7 2 6 +--R b sinh(x) + 4b cosh(x)sinh(x) + (5b cosh(x) + 3b + a)sinh(x) +--R + +--R 5 +--R (14b - 2a)cosh(x)sinh(x) +--R + +--R 4 2 4 +--R (- 5b cosh(x) + (20b - 9a)cosh(x) + 3b + 3a)sinh(x) +--R + +--R 5 3 3 +--R (- 4b cosh(x) + (4b - 4a)cosh(x) + (8b + 4a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (- b cosh(x) + (- 13b + 7a)cosh(x) + (13b - 6a)cosh(x) + b + 3a) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 +--R ((- 10b + 6a)cosh(x) + (12b - 12a)cosh(x) + (- 2b + 6a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (- 2b + a)cosh(x) + (4b - 5a)cosh(x) + (- 2b + 3a)cosh(x) + a +--R / +--R 2 7 2 6 2 2 2 5 +--R 2b sinh(x) + 10b cosh(x)sinh(x) + (20b cosh(x) - 4b + 10a b)sinh(x) +--R + +--R 2 3 2 4 +--R (20b cosh(x) + (- 12b + 34a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 3 +--R (10b cosh(x) + (- 12b + 44a b)cosh(x) + 2b - 4a b + 8a )sinh(x) +--R + +--R 2 5 2 3 2 2 +--R (2b cosh(x) + (- 4b + 28a b)cosh(x) + (2b - 12a b + 24a )cosh(x)) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 2 2 5 +--R (10a b cosh(x) + (- 12a b + 24a )cosh(x) + 2a b)sinh(x) + 2a b cosh(x) +--R + +--R 2 3 +--R (- 4a b + 8a )cosh(x) + 2a b cosh(x) +--R Type: Expression Integer +--E 318 + +--S 319 of 552 +t0760:= cosh(x)^4/(a+b*sinh(x)^2) +--R +--R +--R 4 +--R cosh(x) +--R (311) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 319 + +--S 320 of 552 +r0760:= -a*x/b^2+3/2*x/b+(-a+b)^(3/2)*atan((-a+b)^(1/2)*_ + tanh(x)/a^(1/2))/a^(1/2)/b^2+1/2*cosh(x)*sinh(x)/b +--R +--R +--R (312) +--R +-----+ +--R +-----+ tanh(x)\|b - a +-+ +--R (2b - 2a)\|b - a atan(---------------) + (b cosh(x)sinh(x) + (3b - 2a)x)\|a +--R +-+ +--R \|a +--R ---------------------------------------------------------------------------- +--R 2 +-+ +--R 2b \|a +--R Type: Expression Integer +--E 320 + +--S 321 of 552 +a0760:= integrate(t0760,x) +--R +--R +--R (313) +--R [ +--R 2 2 +--R ((4b - 4a)sinh(x) + (8b - 8a)cosh(x)sinh(x) + (4b - 4a)cosh(x) ) +--R * +--R +-------+ +--R |- b + a +--R |------- +--R \| a +--R * +--R log +--R 2 2 +--R 4a b sinh(x) + 8a b cosh(x)sinh(x) + 4a b cosh(x) - 4a b +--R + +--R 2 +--R 8a +--R * +--R +-------+ +--R |- b + a +--R |------- +--R \| a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + (12b - 8a)x)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (24b - 16a)x cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (12b - 8a)x cosh(x) - b +--R / +--R 2 2 2 2 2 +--R 8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) +--R , +--R +--R 2 +--R (- 8b + 8a)sinh(x) + (- 16b + 16a)cosh(x)sinh(x) +--R + +--R 2 +--R (- 8b + 8a)cosh(x) +--R * +--R +-----+ +--R |b - a +--R +-----+ 2a |----- +--R |b - a \| a +--R |----- atan(----------------------------------------------------) +--R \| a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a +--R + +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + (12b - 8a)x)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (24b - 16a)x cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (12b - 8a)x cosh(x) - b +--R / +--R 2 2 2 2 2 +--R 8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) +--R ] +--R Type: Union(List Expression Integer,...) +--E 321 + +--S 322 of 552 +m0760a:= a0760.1-r0760 +--R +--R +--R (314) +--R 2 2 +--R ((4b - 4a)sinh(x) + (8b - 8a)cosh(x)sinh(x) + (4b - 4a)cosh(x) ) +--R * +--R +-------+ +--R |- b + a +-+ +--R |------- \|a +--R \| a +--R * +--R log +--R 2 2 +--R 4a b sinh(x) + 8a b cosh(x)sinh(x) + 4a b cosh(x) - 4a b +--R + +--R 2 +--R 8a +--R * +--R +-------+ +--R |- b + a +--R |------- +--R \| a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2 +--R (- 8b + 8a)sinh(x) + (- 16b + 16a)cosh(x)sinh(x) +--R + +--R 2 +--R (- 8b + 8a)cosh(x) +--R * +--R +-----+ +--R +-----+ tanh(x)\|b - a +--R \|b - a atan(---------------) +--R +-+ +--R \|a +--R + +--R 4 2 2 4 +-+ +--R (b sinh(x) - 2b cosh(x) sinh(x) + b cosh(x) - b)\|a +--R / +--R 2 2 2 2 2 +-+ +--R (8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) )\|a +--R Type: Expression Integer +--E 322 + +--S 323 of 552 +d0760a:= D(m0760a,x) +--R +--R +--R (315) +--R 2 8 2 7 +--R (- b + a b)sinh(x) + (- 4b + 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((- 4b + 4a b)cosh(x) + 6b - 14a b + 8a )sinh(x) +--R + +--R 2 3 2 2 5 +--R ((4b - 4a b)cosh(x) + (28b - 60a b + 32a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (10b - 10a b)cosh(x) + (58b - 114a b + 56a )cosh(x) + 8b +--R + +--R 2 +--R - 16a b + 8a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (4b - 4a b)cosh(x) + (72b - 136a b + 64a )cosh(x) +--R + +--R 2 2 +--R (36b - 68a b + 32a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (- 4b + 4a b)cosh(x) + (58b - 114a b + 56a )cosh(x) +--R + +--R 2 2 2 2 +--R (56b - 104a b + 48a )cosh(x) + 2b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R (- 4b + 4a b)cosh(x) + (28b - 60a b + 32a )cosh(x) +--R + +--R 2 2 3 2 +--R (36b - 68a b + 32a )cosh(x) + (4b - 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R (- b + a b)cosh(x) + (6b - 14a b + 8a )cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (8b - 16a b + 8a )cosh(x) + (2b - 2a b)cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 +--R - a b sinh(x) - 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (- 4a b cosh(x) - 4b + 10a b - 8a )sinh(x) +--R + +--R 3 2 2 5 +--R (4a b cosh(x) + (- 24b + 52a b - 32a )cosh(x))sinh(x) +--R + +--R 4 2 2 2 2 2 +--R (10a b cosh(x) + (- 60b + 118a b - 56a )cosh(x) + 8b - 16a b + 8a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 2 3 +--R 4a b cosh(x) + (- 80b + 152a b - 64a )cosh(x) +--R + +--R 2 2 +--R (32b - 60a b + 32a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 2 4 +--R - 4a b cosh(x) + (- 60b + 118a b - 56a )cosh(x) +--R + +--R 2 2 2 2 +--R (48b - 88a b + 48a )cosh(x) - 4b + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 2 5 +--R - 4a b cosh(x) + (- 24b + 52a b - 32a )cosh(x) +--R + +--R 2 2 3 2 +--R (32b - 60a b + 32a )cosh(x) + (- 8b + 12a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 8 2 2 6 +--R - a b cosh(x) + (- 4b + 10a b - 8a )cosh(x) +--R + +--R 2 2 4 2 2 +--R (8b - 16a b + 8a )cosh(x) + (- 4b + 6a b)cosh(x) + a b +--R / +--R 3 2 6 3 2 5 +--R (4b - 4a b )sinh(x) + (24b - 24a b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 4 +--R ((60b - 60a b )cosh(x) - 8b + 24a b - 16a b)sinh(x) +--R + +--R 3 2 3 3 2 2 3 +--R ((80b - 80a b )cosh(x) + (- 32b + 96a b - 64a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 2 +--R (60b - 60a b )cosh(x) + (- 48b + 144a b - 96a b)cosh(x) +--R + +--R 3 2 +--R 4b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (24b - 24a b )cosh(x) + (- 32b + 96a b - 64a b)cosh(x) +--R + +--R 3 2 +--R (8b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (4b - 4a b )cosh(x) + (- 8b + 24a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (4b - 4a b )cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 2 6 2 5 +--R 4a b sinh(x) + 24a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R (60a b cosh(x) - 8a b + 16a b)sinh(x) +--R + +--R 2 3 2 2 3 +--R (80a b cosh(x) + (- 32a b + 64a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 2 +--R (60a b cosh(x) + (- 48a b + 96a b)cosh(x) + 4a b )sinh(x) +--R + +--R 2 5 2 2 3 2 +--R (24a b cosh(x) + (- 32a b + 64a b)cosh(x) + 8a b cosh(x))sinh(x) +--R + +--R 2 6 2 2 4 2 2 +--R 4a b cosh(x) + (- 8a b + 16a b)cosh(x) + 4a b cosh(x) +--R Type: Expression Integer +--E 323 + +--S 324 of 552 +m0760b:= a0760.2-r0760 +--R +--R +--R (316) +--R 2 +--R (- 8b + 8a)sinh(x) + (- 16b + 16a)cosh(x)sinh(x) +--R + +--R 2 +--R (- 8b + 8a)cosh(x) +--R * +--R +-----+ +--R +-----+ tanh(x)\|b - a +--R \|b - a atan(---------------) +--R +-+ +--R \|a +--R + +--R 2 +--R (- 8b + 8a)sinh(x) + (- 16b + 16a)cosh(x)sinh(x) +--R + +--R 2 +--R (- 8b + 8a)cosh(x) +--R * +--R +-----+ +--R |b - a +--R +-----+ 2a |----- +--R +-+ |b - a \| a +--R \|a |----- atan(----------------------------------------------------) +--R \| a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a +--R + +--R 4 2 2 4 +-+ +--R (b sinh(x) - 2b cosh(x) sinh(x) + b cosh(x) - b)\|a +--R / +--R 2 2 2 2 2 +-+ +--R (8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) )\|a +--R Type: Expression Integer +--E 324 + +--S 325 of 552 +d0760b:= D(m0760b,x) +--R +--R +--R (317) +--R 2 8 2 7 +--R (- b + a b)sinh(x) + (- 4b + 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((- 4b + 4a b)cosh(x) + 6b - 14a b + 8a )sinh(x) +--R + +--R 2 3 2 2 5 +--R ((4b - 4a b)cosh(x) + (28b - 60a b + 32a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (10b - 10a b)cosh(x) + (58b - 114a b + 56a )cosh(x) + 8b +--R + +--R 2 +--R - 16a b + 8a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (4b - 4a b)cosh(x) + (72b - 136a b + 64a )cosh(x) +--R + +--R 2 2 +--R (36b - 68a b + 32a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (- 4b + 4a b)cosh(x) + (58b - 114a b + 56a )cosh(x) +--R + +--R 2 2 2 2 +--R (56b - 104a b + 48a )cosh(x) + 2b - 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R (- 4b + 4a b)cosh(x) + (28b - 60a b + 32a )cosh(x) +--R + +--R 2 2 3 2 +--R (36b - 68a b + 32a )cosh(x) + (4b - 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R (- b + a b)cosh(x) + (6b - 14a b + 8a )cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (8b - 16a b + 8a )cosh(x) + (2b - 2a b)cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 8 7 +--R - a b sinh(x) - 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (- 4a b cosh(x) - 4b + 10a b - 8a )sinh(x) +--R + +--R 3 2 2 5 +--R (4a b cosh(x) + (- 24b + 52a b - 32a )cosh(x))sinh(x) +--R + +--R 4 2 2 2 2 2 +--R (10a b cosh(x) + (- 60b + 118a b - 56a )cosh(x) + 8b - 16a b + 8a ) +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 2 3 +--R 4a b cosh(x) + (- 80b + 152a b - 64a )cosh(x) +--R + +--R 2 2 +--R (32b - 60a b + 32a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 2 4 +--R - 4a b cosh(x) + (- 60b + 118a b - 56a )cosh(x) +--R + +--R 2 2 2 2 +--R (48b - 88a b + 48a )cosh(x) - 4b + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 2 5 +--R - 4a b cosh(x) + (- 24b + 52a b - 32a )cosh(x) +--R + +--R 2 2 3 2 +--R (32b - 60a b + 32a )cosh(x) + (- 8b + 12a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 8 2 2 6 +--R - a b cosh(x) + (- 4b + 10a b - 8a )cosh(x) +--R + +--R 2 2 4 2 2 +--R (8b - 16a b + 8a )cosh(x) + (- 4b + 6a b)cosh(x) + a b +--R / +--R 3 2 6 3 2 5 +--R (4b - 4a b )sinh(x) + (24b - 24a b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 4 +--R ((60b - 60a b )cosh(x) - 8b + 24a b - 16a b)sinh(x) +--R + +--R 3 2 3 3 2 2 3 +--R ((80b - 80a b )cosh(x) + (- 32b + 96a b - 64a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 2 +--R (60b - 60a b )cosh(x) + (- 48b + 144a b - 96a b)cosh(x) +--R + +--R 3 2 +--R 4b - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (24b - 24a b )cosh(x) + (- 32b + 96a b - 64a b)cosh(x) +--R + +--R 3 2 +--R (8b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (4b - 4a b )cosh(x) + (- 8b + 24a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (4b - 4a b )cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 2 6 2 5 +--R 4a b sinh(x) + 24a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R (60a b cosh(x) - 8a b + 16a b)sinh(x) +--R + +--R 2 3 2 2 3 +--R (80a b cosh(x) + (- 32a b + 64a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 2 +--R (60a b cosh(x) + (- 48a b + 96a b)cosh(x) + 4a b )sinh(x) +--R + +--R 2 5 2 2 3 2 +--R (24a b cosh(x) + (- 32a b + 64a b)cosh(x) + 8a b cosh(x))sinh(x) +--R + +--R 2 6 2 2 4 2 2 +--R 4a b cosh(x) + (- 8a b + 16a b)cosh(x) + 4a b cosh(x) +--R Type: Expression Integer +--E 325 + +--S 326 of 552 +t0761:= cosh(x)^5/(a+b*sinh(x)^2) +--R +--R +--R 5 +--R cosh(x) +--R (318) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 326 + +--S 327 of 552 +r0761:= (a-b)^2*atan(b^(1/2)*sinh(x)/a^(1/2))/a^(1/2)/b^(5/2)-_ + a*sinh(x)/b^2+2*sinh(x)/b+1/3*sinh(x)^3/b +--R +--R +--R (319) +--R +-+ +--R 2 2 sinh(x)\|b 3 +-+ +-+ +--R (3b - 6a b + 3a )atan(-----------) + (b sinh(x) + (6b - 3a)sinh(x))\|a \|b +--R +-+ +--R \|a +--R ----------------------------------------------------------------------------- +--R 2 +-+ +-+ +--R 3b \|a \|b +--R Type: Expression Integer +--E 327 + +--S 328 of 552 +a0761:= integrate(t0761,x) +--R +--R +--R (320) +--R [ +--R 2 2 3 +--R (12b - 24a b + 12a )sinh(x) +--R + +--R 2 2 2 +--R (36b - 72a b + 36a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (36b - 72a b + 36a )cosh(x) sinh(x) + (12b - 24a b + 12a )cosh(x) +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b - 4a)cosh(x) + b +--R * +--R +-----+ +--R \|- a b +--R + +--R 3 2 +--R 4a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 3 +--R (12a b cosh(x) - 4a b)sinh(x) + 4a b cosh(x) - 4a b cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 6 5 +--R b sinh(x) + 6b cosh(x)sinh(x) +--R + +--R 2 4 +--R (15b cosh(x) + 21b - 12a)sinh(x) +--R + +--R 3 3 +--R (20b cosh(x) + (84b - 48a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (15b cosh(x) + (126b - 72a)cosh(x) - 21b + 12a)sinh(x) +--R + +--R 5 3 +--R (6b cosh(x) + (84b - 48a)cosh(x) + (- 42b + 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R b cosh(x) + (21b - 12a)cosh(x) + (- 21b + 12a)cosh(x) - b +--R * +--R +-----+ +--R \|- a b +--R / +--R 2 3 2 2 2 2 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) +--R + +--R 2 3 +--R 24b cosh(x) +--R * +--R +-----+ +--R \|- a b +--R , +--R +--R 2 2 3 +--R (24b - 48a b + 24a )sinh(x) +--R + +--R 2 2 2 +--R (72b - 144a b + 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (72b - 144a b + 72a )cosh(x) sinh(x) + (24b - 48a b + 24a )cosh(x) +--R * +--R +---+ +--R (sinh(x) + cosh(x))\|a b +--R atan(-------------------------) +--R 2a +--R + +--R 2 2 3 +--R (24b - 48a b + 24a )sinh(x) +--R + +--R 2 2 2 +--R (72b - 144a b + 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (72b - 144a b + 72a )cosh(x) sinh(x) + (24b - 48a b + 24a )cosh(x) +--R * +--R atan +--R 3 2 +--R b sinh(x) + 3b cosh(x)sinh(x) +--R + +--R 2 3 +--R (3b cosh(x) - b + 4a)sinh(x) + b cosh(x) + (- b + 4a)cosh(x) +--R / +--R +---+ +--R 2\|a b +--R + +--R 6 5 +--R b sinh(x) + 6b cosh(x)sinh(x) +--R + +--R 2 4 +--R (15b cosh(x) + 21b - 12a)sinh(x) +--R + +--R 3 3 +--R (20b cosh(x) + (84b - 48a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (15b cosh(x) + (126b - 72a)cosh(x) - 21b + 12a)sinh(x) +--R + +--R 5 3 +--R (6b cosh(x) + (84b - 48a)cosh(x) + (- 42b + 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R b cosh(x) + (21b - 12a)cosh(x) + (- 21b + 12a)cosh(x) - b +--R * +--R +---+ +--R \|a b +--R / +--R 2 3 2 2 2 2 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) +--R + +--R 2 3 +--R 24b cosh(x) +--R * +--R +---+ +--R \|a b +--R ] +--R Type: Union(List Expression Integer,...) +--E 328 + +--S 329 of 552 +m0761a:= a0761.1-r0761 +--R +--R +--R (321) +--R 2 2 3 2 2 2 +--R (12b - 24a b + 12a )sinh(x) + (36b - 72a b + 36a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (36b - 72a b + 36a )cosh(x) sinh(x) + (12b - 24a b + 12a )cosh(x) +--R * +--R +-+ +-+ +--R \|a \|b +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b - 4a)cosh(x) + b +--R * +--R +-----+ +--R \|- a b +--R + +--R 3 2 +--R 4a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 3 +--R (12a b cosh(x) - 4a b)sinh(x) + 4a b cosh(x) - 4a b cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2 2 3 +--R (- 24b + 48a b - 24a )sinh(x) +--R + +--R 2 2 2 +--R (- 72b + 144a b - 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (- 72b + 144a b - 72a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (- 24b + 48a b - 24a )cosh(x) +--R * +--R +-+ +--R +-----+ sinh(x)\|b +--R \|- a b atan(-----------) +--R +-+ +--R \|a +--R + +--R 6 5 +--R - 7b sinh(x) - 18b cosh(x)sinh(x) +--R + +--R 2 4 +--R (- 9b cosh(x) - 27b + 12a)sinh(x) +--R + +--R 3 3 +--R (12b cosh(x) + (- 60b + 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (15b cosh(x) - 18b cosh(x) - 21b + 12a)sinh(x) +--R + +--R 5 3 +--R (6b cosh(x) + (36b - 24a)cosh(x) + (- 42b + 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R b cosh(x) + (21b - 12a)cosh(x) + (- 21b + 12a)cosh(x) - b +--R * +--R +-----+ +-+ +-+ +--R \|- a b \|a \|b +--R / +--R 2 3 2 2 2 2 2 3 +--R (24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) ) +--R * +--R +-----+ +-+ +-+ +--R \|- a b \|a \|b +--R Type: Expression Integer +--E 329 + +--S 330 of 552 +d0761a:= D(m0761a,x) +--R +--R +--R (322) +--R 12 11 2 10 +--R b sinh(x) + 2b cosh(x)sinh(x) + (- 11b cosh(x) + 5b + a)sinh(x) +--R + +--R 3 9 +--R (- 48b cosh(x) + (40b - 22a)cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (- 70b cosh(x) + (108b - 115a)cosh(x) + 10b + 5a)sinh(x) +--R + +--R 5 3 7 +--R (- 28b cosh(x) + (104b - 200a)cosh(x) + (76b - 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R 42b cosh(x) + (- 50b - 110a)cosh(x) + (230b - 180a)cosh(x) + 10b +--R + +--R 10a +--R * +--R 6 +--R sinh(x) +--R + +--R 7 5 3 +--R 64b cosh(x) + (- 200b + 92a)cosh(x) + (328b - 360a)cosh(x) +--R + +--R (40b + 28a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 8 6 4 +--R 37b cosh(x) + (- 180b + 178a)cosh(x) + (182b - 290a)cosh(x) +--R + +--R 2 +--R (92b - 10a)cosh(x) + 5b + 10a +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 +--R 10b cosh(x) + (- 72b + 120a)cosh(x) + (- 60b - 40a)cosh(x) +--R + +--R 3 +--R (152b - 120a)cosh(x) + (2b + 40a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 +--R b cosh(x) + (- 11b + 45a)cosh(x) + (- 126b + 76a)cosh(x) +--R + +--R 4 2 +--R (154b - 170a)cosh(x) + (- 19b + 60a)cosh(x) + b + 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 9 7 5 +--R 10a cosh(x) + (- 56b + 40a)cosh(x) + (80b - 100a)cosh(x) +--R + +--R 3 +--R (- 24b + 40a)cosh(x) + 10a cosh(x) +--R * +--R sinh(x) +--R + +--R 10 8 6 +--R a cosh(x) + (- 8b + 5a)cosh(x) + (16b - 22a)cosh(x) +--R + +--R 4 2 +--R (- 8b + 10a)cosh(x) + 5a cosh(x) + a +--R / +--R 2 9 2 8 +--R 8b sinh(x) + 56b cosh(x)sinh(x) +--R + +--R 2 2 2 7 +--R (168b cosh(x) - 16b + 40a b)sinh(x) +--R + +--R 2 3 2 6 +--R (280b cosh(x) + (- 80b + 216a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 5 +--R (280b cosh(x) + (- 160b + 488a b)cosh(x) + 8b - 16a b + 32a )sinh(x) +--R + +--R 2 5 2 3 +--R 168b cosh(x) + (- 160b + 600a b)cosh(x) +--R + +--R 2 2 +--R (24b - 80a b + 160a )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 56b cosh(x) + (- 80b + 440a b)cosh(x) +--R + +--R 2 2 2 +--R (24b - 160a b + 320a )cosh(x) + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 8b cosh(x) + (- 16b + 200a b)cosh(x) +--R + +--R 2 2 3 +--R (8b - 160a b + 320a )cosh(x) + 24a b cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 2 +--R (56a b cosh(x) + (- 80a b + 160a )cosh(x) + 24a b cosh(x) )sinh(x) +--R + +--R 7 2 5 3 +--R 8a b cosh(x) + (- 16a b + 32a )cosh(x) + 8a b cosh(x) +--R Type: Expression Integer +--E 330 + +--S 331 of 552 +m0761b:= a0761.2-r0761 +--R +--R +--R (323) +--R 2 2 3 2 2 2 +--R (24b - 48a b + 24a )sinh(x) + (72b - 144a b + 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (72b - 144a b + 72a )cosh(x) sinh(x) + (24b - 48a b + 24a )cosh(x) +--R * +--R +---+ +--R +-+ +-+ (sinh(x) + cosh(x))\|a b +--R \|a \|b atan(-------------------------) +--R 2a +--R + +--R 2 2 3 +--R (- 24b + 48a b - 24a )sinh(x) +--R + +--R 2 2 2 +--R (- 72b + 144a b - 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (- 72b + 144a b - 72a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (- 24b + 48a b - 24a )cosh(x) +--R * +--R +-+ +--R +---+ sinh(x)\|b +--R \|a b atan(-----------) +--R +-+ +--R \|a +--R + +--R 2 2 3 2 2 2 +--R (24b - 48a b + 24a )sinh(x) + (72b - 144a b + 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (72b - 144a b + 72a )cosh(x) sinh(x) + (24b - 48a b + 24a )cosh(x) +--R * +--R +-+ +-+ +--R \|a \|b +--R * +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) - b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (- b + 4a)cosh(x) +--R / +--R +---+ +--R 2\|a b +--R + +--R 6 5 +--R - 7b sinh(x) - 18b cosh(x)sinh(x) +--R + +--R 2 4 +--R (- 9b cosh(x) - 27b + 12a)sinh(x) +--R + +--R 3 3 +--R (12b cosh(x) + (- 60b + 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (15b cosh(x) - 18b cosh(x) - 21b + 12a)sinh(x) +--R + +--R 5 3 +--R (6b cosh(x) + (36b - 24a)cosh(x) + (- 42b + 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R b cosh(x) + (21b - 12a)cosh(x) + (- 21b + 12a)cosh(x) - b +--R * +--R +-+ +-+ +---+ +--R \|a \|b \|a b +--R / +--R 2 3 2 2 2 2 2 3 +--R (24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) ) +--R * +--R +-+ +-+ +---+ +--R \|a \|b \|a b +--R Type: Expression Integer +--E 331 + +--S 332 of 552 +d0761b:= D(m0761b,x) +--R +--R +--R (324) +--R 12 11 2 10 +--R b sinh(x) + 2b cosh(x)sinh(x) + (- 11b cosh(x) + 5b + a)sinh(x) +--R + +--R 3 9 +--R (- 48b cosh(x) + (40b - 22a)cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (- 70b cosh(x) + (108b - 115a)cosh(x) + 10b + 5a)sinh(x) +--R + +--R 5 3 7 +--R (- 28b cosh(x) + (104b - 200a)cosh(x) + (76b - 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R 42b cosh(x) + (- 50b - 110a)cosh(x) + (230b - 180a)cosh(x) + 10b +--R + +--R 10a +--R * +--R 6 +--R sinh(x) +--R + +--R 7 5 3 +--R 64b cosh(x) + (- 200b + 92a)cosh(x) + (328b - 360a)cosh(x) +--R + +--R (40b + 28a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 8 6 4 +--R 37b cosh(x) + (- 180b + 178a)cosh(x) + (182b - 290a)cosh(x) +--R + +--R 2 +--R (92b - 10a)cosh(x) + 5b + 10a +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 +--R 10b cosh(x) + (- 72b + 120a)cosh(x) + (- 60b - 40a)cosh(x) +--R + +--R 3 +--R (152b - 120a)cosh(x) + (2b + 40a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 +--R b cosh(x) + (- 11b + 45a)cosh(x) + (- 126b + 76a)cosh(x) +--R + +--R 4 2 +--R (154b - 170a)cosh(x) + (- 19b + 60a)cosh(x) + b + 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 9 7 5 +--R 10a cosh(x) + (- 56b + 40a)cosh(x) + (80b - 100a)cosh(x) +--R + +--R 3 +--R (- 24b + 40a)cosh(x) + 10a cosh(x) +--R * +--R sinh(x) +--R + +--R 10 8 6 +--R a cosh(x) + (- 8b + 5a)cosh(x) + (16b - 22a)cosh(x) +--R + +--R 4 2 +--R (- 8b + 10a)cosh(x) + 5a cosh(x) + a +--R / +--R 2 9 2 8 +--R 8b sinh(x) + 56b cosh(x)sinh(x) +--R + +--R 2 2 2 7 +--R (168b cosh(x) - 16b + 40a b)sinh(x) +--R + +--R 2 3 2 6 +--R (280b cosh(x) + (- 80b + 216a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 5 +--R (280b cosh(x) + (- 160b + 488a b)cosh(x) + 8b - 16a b + 32a )sinh(x) +--R + +--R 2 5 2 3 +--R 168b cosh(x) + (- 160b + 600a b)cosh(x) +--R + +--R 2 2 +--R (24b - 80a b + 160a )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 56b cosh(x) + (- 80b + 440a b)cosh(x) +--R + +--R 2 2 2 +--R (24b - 160a b + 320a )cosh(x) + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 8b cosh(x) + (- 16b + 200a b)cosh(x) +--R + +--R 2 2 3 +--R (8b - 160a b + 320a )cosh(x) + 24a b cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 2 +--R (56a b cosh(x) + (- 80a b + 160a )cosh(x) + 24a b cosh(x) )sinh(x) +--R + +--R 7 2 5 3 +--R 8a b cosh(x) + (- 16a b + 32a )cosh(x) + 8a b cosh(x) +--R Type: Expression Integer +--E 332 + +--S 333 of 552 +t0762:= cosh(x)^6/(a+b*sinh(x)^2) +--R +--R +--R 6 +--R cosh(x) +--R (325) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 333 + +--S 334 of 552 +r0762:= (a-b)^2*x/b^3-1/2*a*x/b^2+7/8*x/b+(-a+b)^(5/2)*_ + atan((-a+b)^(1/2)*tanh(x)/a^(1/2))/a^(1/2)/b^3-_ + 1/2*a*cosh(x)*sinh(x)/b^2+7/8*cosh(x)*sinh(x)/b+_ + 1/4*cosh(x)^3*sinh(x)/b +--R +--R +--R (326) +--R +-----+ +--R 2 2 +-----+ tanh(x)\|b - a +--R (8b - 16a b + 8a )\|b - a atan(---------------) +--R +-+ +--R \|a +--R + +--R 2 3 2 2 2 +-+ +--R ((2b cosh(x) + (7b - 4a b)cosh(x))sinh(x) + (15b - 20a b + 8a )x)\|a +--R / +--R 3 +-+ +--R 8b \|a +--R Type: Expression Integer +--E 334 + +--S 335 of 552 +a0762:= integrate(t0762,x) +--R +--R +--R (327) +--R [ +--R 2 2 4 +--R (32b - 64a b + 32a )sinh(x) +--R + +--R 2 2 3 +--R (128b - 256a b + 128a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (192b - 384a b + 192a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (128b - 256a b + 128a )cosh(x) sinh(x) +--R + +--R 2 2 4 +--R (32b - 64a b + 32a )cosh(x) +--R * +--R +-------+ +--R |- b + a +--R |------- +--R \| a +--R * +--R log +--R 2 2 +--R 4a b sinh(x) + 8a b cosh(x)sinh(x) + 4a b cosh(x) - 4a b +--R + +--R 2 +--R 8a +--R * +--R +-------+ +--R |- b + a +--R |------- +--R \| a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2 8 2 7 2 2 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) + 16b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (56b cosh(x) + (96b - 48a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (70b cosh(x) + (240b - 120a b)cosh(x) + (120b - 160a b + 64a )x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 56b cosh(x) + (320b - 160a b)cosh(x) +--R + +--R 2 2 +--R (480b - 640a b + 256a )x cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 28b cosh(x) + (240b - 120a b)cosh(x) +--R + +--R 2 2 2 2 +--R (720b - 960a b + 384a )x cosh(x) - 16b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 8b cosh(x) + (96b - 48a b)cosh(x) +--R + +--R 2 2 3 2 +--R (480b - 640a b + 256a )x cosh(x) + (- 32b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 4 +--R b cosh(x) + (16b - 8a b)cosh(x) + (120b - 160a b + 64a )x cosh(x) +--R + +--R 2 2 2 +--R (- 16b + 8a b)cosh(x) - b +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R , +--R +--R 2 2 4 +--R (- 64b + 128a b - 64a )sinh(x) +--R + +--R 2 2 3 +--R (- 256b + 512a b - 256a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 384b + 768a b - 384a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (- 256b + 512a b - 256a )cosh(x) sinh(x) +--R + +--R 2 2 4 +--R (- 64b + 128a b - 64a )cosh(x) +--R * +--R +-----+ +--R |b - a +--R +-----+ 2a |----- +--R |b - a \| a +--R |----- atan(----------------------------------------------------) +--R \| a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a +--R + +--R 2 8 2 7 2 2 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) + 16b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (56b cosh(x) + (96b - 48a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (70b cosh(x) + (240b - 120a b)cosh(x) + (120b - 160a b + 64a )x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 56b cosh(x) + (320b - 160a b)cosh(x) +--R + +--R 2 2 +--R (480b - 640a b + 256a )x cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 28b cosh(x) + (240b - 120a b)cosh(x) +--R + +--R 2 2 2 2 +--R (720b - 960a b + 384a )x cosh(x) - 16b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 8b cosh(x) + (96b - 48a b)cosh(x) +--R + +--R 2 2 3 2 +--R (480b - 640a b + 256a )x cosh(x) + (- 32b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 4 +--R b cosh(x) + (16b - 8a b)cosh(x) + (120b - 160a b + 64a )x cosh(x) +--R + +--R 2 2 2 +--R (- 16b + 8a b)cosh(x) - b +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R ] +--R Type: Union(List Expression Integer,...) +--E 335 + +--S 336 of 552 +m0762a:= a0762.1-r0762 +--R +--R +--R (328) +--R 2 2 4 +--R (32b - 64a b + 32a )sinh(x) +--R + +--R 2 2 3 +--R (128b - 256a b + 128a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (192b - 384a b + 192a )cosh(x) sinh(x) +--R + +--R 2 2 3 2 2 4 +--R (128b - 256a b + 128a )cosh(x) sinh(x) + (32b - 64a b + 32a )cosh(x) +--R * +--R +-------+ +--R |- b + a +-+ +--R |------- \|a +--R \| a +--R * +--R log +--R 2 2 +--R 4a b sinh(x) + 8a b cosh(x)sinh(x) + 4a b cosh(x) - 4a b +--R + +--R 2 +--R 8a +--R * +--R +-------+ +--R |- b + a +--R |------- +--R \| a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) - 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (- 4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (- 2b + 4a b)cosh(x) + b - 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2 2 4 +--R (- 64b + 128a b - 64a )sinh(x) +--R + +--R 2 2 3 +--R (- 256b + 512a b - 256a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 384b + 768a b - 384a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (- 256b + 512a b - 256a )cosh(x) sinh(x) +--R + +--R 2 2 4 +--R (- 64b + 128a b - 64a )cosh(x) +--R * +--R +-----+ +--R +-----+ tanh(x)\|b - a +--R \|b - a atan(---------------) +--R +-+ +--R \|a +--R + +--R 2 8 2 7 +--R b sinh(x) + 8b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (28b cosh(x) + 16b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (40b cosh(x) + (40b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 4 +--R (6b cosh(x) + (16b + 8a b)cosh(x) )sinh(x) +--R + +--R 2 5 2 3 3 +--R (- 40b cosh(x) + (- 16b + 32a b)cosh(x) )sinh(x) +--R + +--R 2 6 2 4 2 2 +--R (- 36b cosh(x) + (16b + 8a b)cosh(x) - 16b + 8a b)sinh(x) +--R + +--R 2 7 2 5 2 +--R (- 8b cosh(x) + (40b - 16a b)cosh(x) + (- 32b + 16a b)cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 2 +--R b cosh(x) + (16b - 8a b)cosh(x) + (- 16b + 8a b)cosh(x) - b +--R * +--R +-+ +--R \|a +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R * +--R +-+ +--R \|a +--R Type: Expression Integer +--E 336 + +--S 337 of 552 +d0762a:= D(m0762a,x) +--R +--R +--R (329) +--R 3 2 12 3 2 11 +--R (b - a b )sinh(x) + (12b - 12a b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 10 +--R ((54b - 54a b )cosh(x) - 8b + 16a b - 8a b)sinh(x) +--R + +--R 3 2 3 3 2 2 +--R ((124b - 124a b )cosh(x) + (- 52b + 116a b - 64a b)cosh(x)) +--R * +--R 9 +--R sinh(x) +--R + +--R 3 2 4 3 2 2 2 +--R (155b - 155a b )cosh(x) + (- 112b + 296a b - 184a b)cosh(x) +--R + +--R 3 2 2 3 +--R 29b - 93a b + 96a b - 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (88b - 88a b )cosh(x) + (- 32b + 256a b - 224a b)cosh(x) +--R + +--R 3 2 2 3 +--R (176b - 544a b + 560a b - 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (- 28b + 28a b )cosh(x) + (256b - 208a b - 48a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (464b - 1392a b + 1440a b - 512a )cosh(x) + 34b - 98a b +--R + +--R 2 3 +--R 96a b - 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 7 3 2 2 5 +--R (- 104b + 104a b )cosh(x) + (472b - 632a b + 160a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (736b - 2160a b + 2256a b - 832a )cosh(x) +--R + +--R 3 2 2 3 +--R (232b - 632a b + 592a b - 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 8 3 2 2 6 +--R (- 121b + 121a b )cosh(x) + (368b - 544a b + 176a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (834b - 2434a b + 2560a b - 960a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (622b - 1646a b + 1504a b - 480a )cosh(x) + b + 7a b - 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 9 3 2 2 7 +--R (- 100b + 100a b )cosh(x) + (128b - 224a b + 96a b)cosh(x) +--R + +--R 3 2 2 3 5 +--R (720b - 2144a b + 2256a b - 832a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (848b - 2224a b + 2016a b - 640a )cosh(x) +--R + +--R 3 2 2 +--R (4b + 28a b - 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 10 3 2 2 8 +--R (- 58b + 58a b )cosh(x) + (8b - 64a b + 56a b)cosh(x) +--R + +--R 3 2 2 3 6 +--R (440b - 1368a b + 1440a b - 512a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (622b - 1646a b + 1504a b - 480a )cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (6b + 42a b - 48a b)cosh(x) + 6b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 11 3 2 2 9 +--R (- 20b + 20a b )cosh(x) + (- 4b - 28a b + 32a b)cosh(x) +--R + +--R 3 2 2 3 7 +--R (160b - 528a b + 560a b - 192a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (232b - 632a b + 592a b - 192a )cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (4b + 28a b - 32a b)cosh(x) + (12b - 12a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 12 2 2 10 +--R (- 3b + 3a b )cosh(x) + (- 8a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 8 +--R (25b - 89a b + 96a b - 32a )cosh(x) +--R + +--R 3 2 2 3 6 3 2 2 4 +--R (34b - 98a b + 96a b - 32a )cosh(x) + (b + 7a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (6b - 6a b )cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 12 2 11 +--R a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 10 +--R (54a b cosh(x) - 8a b + 8a b)sinh(x) +--R + +--R 2 3 2 2 9 +--R (124a b cosh(x) + (- 52a b + 64a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 3 2 +--R 155a b cosh(x) + (- 112a b + 184a b)cosh(x) - 16b + 61a b +--R + +--R 2 3 +--R - 80a b + 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R 88a b cosh(x) + (- 32a b + 224a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 128b + 432a b - 496a b + 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R - 28a b cosh(x) + (256a b + 48a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 448b + 1360a b - 1376a b + 512a )cosh(x) + 32b - 94a b +--R + +--R 2 3 +--R 96a b - 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R - 104a b cosh(x) + (472a b - 160a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 896b + 2528a b - 2320a b + 832a )cosh(x) +--R + +--R 3 2 2 3 +--R (192b - 536a b + 560a b - 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R - 121a b cosh(x) + (368a b - 176a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 1120b + 3074a b - 2720a b + 960a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (480b - 1298a b + 1376a b - 480a )cosh(x) - 16b + 33a b - 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 9 2 2 7 +--R - 100a b cosh(x) + (128a b - 96a b)cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 896b + 2512a b - 2320a b + 832a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (640b - 1712a b + 1824a b - 640a )cosh(x) +--R + +--R 3 2 2 +--R (- 64b + 132a b - 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 10 2 2 8 +--R - 58a b cosh(x) + (8a b - 56a b)cosh(x) +--R + +--R 3 2 2 3 6 +--R (- 448b + 1336a b - 1376a b + 512a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (480b - 1298a b + 1376a b - 480a )cosh(x) +--R + +--R 3 2 2 2 2 +--R (- 96b + 198a b - 48a b)cosh(x) + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 11 2 2 9 +--R - 20a b cosh(x) + (- 4a b - 32a b)cosh(x) +--R + +--R 3 2 2 3 7 +--R (- 128b + 416a b - 496a b + 192a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (192b - 536a b + 560a b - 192a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 64b + 132a b - 32a b)cosh(x) + 12a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 12 2 10 +--R - 3a b cosh(x) - 8a b cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 16b + 57a b - 80a b + 32a )cosh(x) +--R + +--R 3 2 2 3 6 3 2 2 4 +--R (32b - 94a b + 96a b - 32a )cosh(x) + (- 16b + 33a b - 8a b)cosh(x) +--R + +--R 2 2 2 +--R 6a b cosh(x) + a b +--R / +--R 4 3 8 4 3 7 +--R (16b - 16a b )sinh(x) + (128b - 128a b )cosh(x)sinh(x) +--R + +--R 4 3 2 4 3 2 2 6 +--R ((448b - 448a b )cosh(x) - 32b + 96a b - 64a b )sinh(x) +--R + +--R 4 3 3 4 3 2 2 +--R ((896b - 896a b )cosh(x) + (- 192b + 576a b - 384a b )cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 4 +--R (1120b - 1120a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 480b + 1440a b - 960a b )cosh(x) + 16b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 5 +--R (896b - 896a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 640b + 1920a b - 1280a b )cosh(x) + (64b - 64a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 6 +--R (448b - 448a b )cosh(x) +--R + +--R 4 3 2 2 4 4 3 2 +--R (- 480b + 1440a b - 960a b )cosh(x) + (96b - 96a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 7 4 3 2 2 5 +--R (128b - 128a b )cosh(x) + (- 192b + 576a b - 384a b )cosh(x) +--R + +--R 4 3 3 +--R (64b - 64a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 8 4 3 2 2 6 +--R (16b - 16a b )cosh(x) + (- 32b + 96a b - 64a b )cosh(x) +--R + +--R 4 3 4 +--R (16b - 16a b )cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 3 8 3 7 +--R 16a b sinh(x) + 128a b cosh(x)sinh(x) +--R + +--R 3 2 3 2 2 6 +--R (448a b cosh(x) - 32a b + 64a b )sinh(x) +--R + +--R 3 3 3 2 2 5 +--R (896a b cosh(x) + (- 192a b + 384a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 2 3 4 +--R (1120a b cosh(x) + (- 480a b + 960a b )cosh(x) + 16a b )sinh(x) +--R + +--R 3 5 3 2 2 3 3 +--R (896a b cosh(x) + (- 640a b + 1280a b )cosh(x) + 64a b cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 3 2 2 4 3 2 +--R (448a b cosh(x) + (- 480a b + 960a b )cosh(x) + 96a b cosh(x) ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 3 2 2 5 3 3 +--R (128a b cosh(x) + (- 192a b + 384a b )cosh(x) + 64a b cosh(x) )sinh(x) +--R + +--R 3 8 3 2 2 6 3 4 +--R 16a b cosh(x) + (- 32a b + 64a b )cosh(x) + 16a b cosh(x) +--R Type: Expression Integer +--E 337 + +--S 338 of 552 +m0762b:= a0762.2-r0762 +--R +--R +--R (330) +--R 2 2 4 +--R (- 64b + 128a b - 64a )sinh(x) +--R + +--R 2 2 3 +--R (- 256b + 512a b - 256a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 384b + 768a b - 384a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (- 256b + 512a b - 256a )cosh(x) sinh(x) +--R + +--R 2 2 4 +--R (- 64b + 128a b - 64a )cosh(x) +--R * +--R +-----+ +--R +-----+ tanh(x)\|b - a +--R \|b - a atan(---------------) +--R +-+ +--R \|a +--R + +--R 2 2 4 +--R (- 64b + 128a b - 64a )sinh(x) +--R + +--R 2 2 3 +--R (- 256b + 512a b - 256a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 384b + 768a b - 384a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (- 256b + 512a b - 256a )cosh(x) sinh(x) +--R + +--R 2 2 4 +--R (- 64b + 128a b - 64a )cosh(x) +--R * +--R +-----+ +--R |b - a +--R +-----+ 2a |----- +--R +-+ |b - a \| a +--R \|a |----- atan(----------------------------------------------------) +--R \| a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) - b + 2a +--R + +--R 2 8 2 7 +--R b sinh(x) + 8b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (28b cosh(x) + 16b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (40b cosh(x) + (40b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 4 +--R (6b cosh(x) + (16b + 8a b)cosh(x) )sinh(x) +--R + +--R 2 5 2 3 3 +--R (- 40b cosh(x) + (- 16b + 32a b)cosh(x) )sinh(x) +--R + +--R 2 6 2 4 2 2 +--R (- 36b cosh(x) + (16b + 8a b)cosh(x) - 16b + 8a b)sinh(x) +--R + +--R 2 7 2 5 2 +--R (- 8b cosh(x) + (40b - 16a b)cosh(x) + (- 32b + 16a b)cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 2 +--R b cosh(x) + (16b - 8a b)cosh(x) + (- 16b + 8a b)cosh(x) - b +--R * +--R +-+ +--R \|a +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R * +--R +-+ +--R \|a +--R Type: Expression Integer +--E 338 + +--S 339 of 552 +d0762b:= D(m0762b,x) +--R +--R +--R (331) +--R 3 2 12 3 2 11 +--R (b - a b )sinh(x) + (12b - 12a b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 10 +--R ((54b - 54a b )cosh(x) - 8b + 16a b - 8a b)sinh(x) +--R + +--R 3 2 3 3 2 2 +--R ((124b - 124a b )cosh(x) + (- 52b + 116a b - 64a b)cosh(x)) +--R * +--R 9 +--R sinh(x) +--R + +--R 3 2 4 3 2 2 2 +--R (155b - 155a b )cosh(x) + (- 112b + 296a b - 184a b)cosh(x) +--R + +--R 3 2 2 3 +--R 29b - 93a b + 96a b - 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (88b - 88a b )cosh(x) + (- 32b + 256a b - 224a b)cosh(x) +--R + +--R 3 2 2 3 +--R (176b - 544a b + 560a b - 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (- 28b + 28a b )cosh(x) + (256b - 208a b - 48a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (464b - 1392a b + 1440a b - 512a )cosh(x) + 34b - 98a b +--R + +--R 2 3 +--R 96a b - 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 7 3 2 2 5 +--R (- 104b + 104a b )cosh(x) + (472b - 632a b + 160a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (736b - 2160a b + 2256a b - 832a )cosh(x) +--R + +--R 3 2 2 3 +--R (232b - 632a b + 592a b - 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 8 3 2 2 6 +--R (- 121b + 121a b )cosh(x) + (368b - 544a b + 176a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (834b - 2434a b + 2560a b - 960a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (622b - 1646a b + 1504a b - 480a )cosh(x) + b + 7a b - 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 9 3 2 2 7 +--R (- 100b + 100a b )cosh(x) + (128b - 224a b + 96a b)cosh(x) +--R + +--R 3 2 2 3 5 +--R (720b - 2144a b + 2256a b - 832a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (848b - 2224a b + 2016a b - 640a )cosh(x) +--R + +--R 3 2 2 +--R (4b + 28a b - 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 10 3 2 2 8 +--R (- 58b + 58a b )cosh(x) + (8b - 64a b + 56a b)cosh(x) +--R + +--R 3 2 2 3 6 +--R (440b - 1368a b + 1440a b - 512a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (622b - 1646a b + 1504a b - 480a )cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (6b + 42a b - 48a b)cosh(x) + 6b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 11 3 2 2 9 +--R (- 20b + 20a b )cosh(x) + (- 4b - 28a b + 32a b)cosh(x) +--R + +--R 3 2 2 3 7 +--R (160b - 528a b + 560a b - 192a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (232b - 632a b + 592a b - 192a )cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (4b + 28a b - 32a b)cosh(x) + (12b - 12a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 12 2 2 10 +--R (- 3b + 3a b )cosh(x) + (- 8a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 8 +--R (25b - 89a b + 96a b - 32a )cosh(x) +--R + +--R 3 2 2 3 6 3 2 2 4 +--R (34b - 98a b + 96a b - 32a )cosh(x) + (b + 7a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (6b - 6a b )cosh(x) + b - a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 12 2 11 +--R a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 10 +--R (54a b cosh(x) - 8a b + 8a b)sinh(x) +--R + +--R 2 3 2 2 9 +--R (124a b cosh(x) + (- 52a b + 64a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 3 2 +--R 155a b cosh(x) + (- 112a b + 184a b)cosh(x) - 16b + 61a b +--R + +--R 2 3 +--R - 80a b + 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R 88a b cosh(x) + (- 32a b + 224a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 128b + 432a b - 496a b + 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R - 28a b cosh(x) + (256a b + 48a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 448b + 1360a b - 1376a b + 512a )cosh(x) + 32b - 94a b +--R + +--R 2 3 +--R 96a b - 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R - 104a b cosh(x) + (472a b - 160a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 896b + 2528a b - 2320a b + 832a )cosh(x) +--R + +--R 3 2 2 3 +--R (192b - 536a b + 560a b - 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R - 121a b cosh(x) + (368a b - 176a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 1120b + 3074a b - 2720a b + 960a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (480b - 1298a b + 1376a b - 480a )cosh(x) - 16b + 33a b - 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 9 2 2 7 +--R - 100a b cosh(x) + (128a b - 96a b)cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 896b + 2512a b - 2320a b + 832a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (640b - 1712a b + 1824a b - 640a )cosh(x) +--R + +--R 3 2 2 +--R (- 64b + 132a b - 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 10 2 2 8 +--R - 58a b cosh(x) + (8a b - 56a b)cosh(x) +--R + +--R 3 2 2 3 6 +--R (- 448b + 1336a b - 1376a b + 512a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (480b - 1298a b + 1376a b - 480a )cosh(x) +--R + +--R 3 2 2 2 2 +--R (- 96b + 198a b - 48a b)cosh(x) + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 11 2 2 9 +--R - 20a b cosh(x) + (- 4a b - 32a b)cosh(x) +--R + +--R 3 2 2 3 7 +--R (- 128b + 416a b - 496a b + 192a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (192b - 536a b + 560a b - 192a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (- 64b + 132a b - 32a b)cosh(x) + 12a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 12 2 10 +--R - 3a b cosh(x) - 8a b cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 16b + 57a b - 80a b + 32a )cosh(x) +--R + +--R 3 2 2 3 6 3 2 2 4 +--R (32b - 94a b + 96a b - 32a )cosh(x) + (- 16b + 33a b - 8a b)cosh(x) +--R + +--R 2 2 2 +--R 6a b cosh(x) + a b +--R / +--R 4 3 8 4 3 7 +--R (16b - 16a b )sinh(x) + (128b - 128a b )cosh(x)sinh(x) +--R + +--R 4 3 2 4 3 2 2 6 +--R ((448b - 448a b )cosh(x) - 32b + 96a b - 64a b )sinh(x) +--R + +--R 4 3 3 4 3 2 2 +--R ((896b - 896a b )cosh(x) + (- 192b + 576a b - 384a b )cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 4 +--R (1120b - 1120a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 480b + 1440a b - 960a b )cosh(x) + 16b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 5 +--R (896b - 896a b )cosh(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 640b + 1920a b - 1280a b )cosh(x) + (64b - 64a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 6 +--R (448b - 448a b )cosh(x) +--R + +--R 4 3 2 2 4 4 3 2 +--R (- 480b + 1440a b - 960a b )cosh(x) + (96b - 96a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 7 4 3 2 2 5 +--R (128b - 128a b )cosh(x) + (- 192b + 576a b - 384a b )cosh(x) +--R + +--R 4 3 3 +--R (64b - 64a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 8 4 3 2 2 6 +--R (16b - 16a b )cosh(x) + (- 32b + 96a b - 64a b )cosh(x) +--R + +--R 4 3 4 +--R (16b - 16a b )cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 3 8 3 7 +--R 16a b sinh(x) + 128a b cosh(x)sinh(x) +--R + +--R 3 2 3 2 2 6 +--R (448a b cosh(x) - 32a b + 64a b )sinh(x) +--R + +--R 3 3 3 2 2 5 +--R (896a b cosh(x) + (- 192a b + 384a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 2 3 4 +--R (1120a b cosh(x) + (- 480a b + 960a b )cosh(x) + 16a b )sinh(x) +--R + +--R 3 5 3 2 2 3 3 +--R (896a b cosh(x) + (- 640a b + 1280a b )cosh(x) + 64a b cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 3 2 2 4 3 2 +--R (448a b cosh(x) + (- 480a b + 960a b )cosh(x) + 96a b cosh(x) ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 3 2 2 5 3 3 +--R (128a b cosh(x) + (- 192a b + 384a b )cosh(x) + 64a b cosh(x) )sinh(x) +--R + +--R 3 8 3 2 2 6 3 4 +--R 16a b cosh(x) + (- 32a b + 64a b )cosh(x) + 16a b cosh(x) +--R Type: Expression Integer +--E 339 + +--S 340 of 552 +t0763:= cosh(x)^7/(a+b*sinh(x)^2) +--R +--R +--R 7 +--R cosh(x) +--R (332) -------------- +--R 2 +--R b sinh(x) + a +--R Type: Expression Integer +--E 340 + +--S 341 of 552 +r0763:= -(a-b)^3*atan(b^(1/2)*sinh(x)/a^(1/2))/a^(1/2)/b^(7/2)+_ + (a-b)^2*sinh(x)/b^3-a*sinh(x)/b^2+2*sinh(x)/b-_ + 1/3*a*sinh(x)^3/b^2+sinh(x)^3/b+1/5*sinh(x)^5/b +--R +--R +--R (333) +--R +-+ +--R 3 2 2 3 sinh(x)\|b +--R (15b - 45a b + 45a b - 15a )atan(-----------) +--R +-+ +--R \|a +--R + +--R 2 5 2 3 2 2 +--R (3b sinh(x) + (15b - 5a b)sinh(x) + (45b - 45a b + 15a )sinh(x)) +--R * +--R +-+ +-+ +--R \|a \|b +--R / +--R 3 +-+ +-+ +--R 15b \|a \|b +--R Type: Expression Integer +--E 341 + +--S 342 of 552 +a0763:= integrate(t0763,x) +--R +--R +--R (334) +--R [ +--R 3 2 2 3 5 +--R (240b - 720a b + 720a b - 240a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (1200b - 3600a b + 3600a b - 1200a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (2400b - 7200a b + 7200a b - 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (2400b - 7200a b + 7200a b - 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (1200b - 3600a b + 3600a b - 1200a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (240b - 720a b + 720a b - 240a )cosh(x) +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b - 4a)cosh(x) + b +--R * +--R +-----+ +--R \|- a b +--R + +--R 3 2 +--R 4a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 3 +--R (12a b cosh(x) - 4a b)sinh(x) + 4a b cosh(x) - 4a b cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 2 10 2 9 +--R 3b sinh(x) + 30b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (135b cosh(x) + 45b - 20a b)sinh(x) +--R + +--R 2 3 2 7 +--R (360b cosh(x) + (360b - 160a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 630b cosh(x) + (1260b - 560a b)cosh(x) + 570b - 660a b +--R + +--R 2 +--R 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 756b cosh(x) + (2520b - 1120a b)cosh(x) +--R + +--R 2 2 +--R (3420b - 3960a b + 1440a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 630b cosh(x) + (3150b - 1400a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (8550b - 9900a b + 3600a )cosh(x) - 570b + 660a b - 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 360b cosh(x) + (2520b - 1120a b)cosh(x) +--R + +--R 2 2 3 +--R (11400b - 13200a b + 4800a )cosh(x) +--R + +--R 2 2 +--R (- 2280b + 2640a b - 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 135b cosh(x) + (1260b - 560a b)cosh(x) +--R + +--R 2 2 4 +--R (8550b - 9900a b + 3600a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 3420b + 3960a b - 1440a )cosh(x) - 45b + 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 30b cosh(x) + (360b - 160a b)cosh(x) +--R + +--R 2 2 5 +--R (3420b - 3960a b + 1440a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 2280b + 2640a b - 960a )cosh(x) + (- 90b + 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R 3b cosh(x) + (45b - 20a b)cosh(x) +--R + +--R 2 2 6 +--R (570b - 660a b + 240a )cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (- 570b + 660a b - 240a )cosh(x) + (- 45b + 20a b)cosh(x) - 3b +--R * +--R +-----+ +--R \|- a b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +-----+ +--R \|- a b +--R , +--R +--R 3 2 2 3 5 +--R (480b - 1440a b + 1440a b - 480a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b - 7200a b + 7200a b - 2400a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (4800b - 14400a b + 14400a b - 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (4800b - 14400a b + 14400a b - 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b - 7200a b + 7200a b - 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (480b - 1440a b + 1440a b - 480a )cosh(x) +--R * +--R +---+ +--R (sinh(x) + cosh(x))\|a b +--R atan(-------------------------) +--R 2a +--R + +--R 3 2 2 3 5 +--R (480b - 1440a b + 1440a b - 480a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b - 7200a b + 7200a b - 2400a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (4800b - 14400a b + 14400a b - 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (4800b - 14400a b + 14400a b - 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b - 7200a b + 7200a b - 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (480b - 1440a b + 1440a b - 480a )cosh(x) +--R * +--R atan +--R 3 2 +--R b sinh(x) + 3b cosh(x)sinh(x) +--R + +--R 2 3 +--R (3b cosh(x) - b + 4a)sinh(x) + b cosh(x) + (- b + 4a)cosh(x) +--R / +--R +---+ +--R 2\|a b +--R + +--R 2 10 2 9 +--R 3b sinh(x) + 30b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (135b cosh(x) + 45b - 20a b)sinh(x) +--R + +--R 2 3 2 7 +--R (360b cosh(x) + (360b - 160a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 630b cosh(x) + (1260b - 560a b)cosh(x) + 570b - 660a b +--R + +--R 2 +--R 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 756b cosh(x) + (2520b - 1120a b)cosh(x) +--R + +--R 2 2 +--R (3420b - 3960a b + 1440a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 630b cosh(x) + (3150b - 1400a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (8550b - 9900a b + 3600a )cosh(x) - 570b + 660a b - 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 360b cosh(x) + (2520b - 1120a b)cosh(x) +--R + +--R 2 2 3 +--R (11400b - 13200a b + 4800a )cosh(x) +--R + +--R 2 2 +--R (- 2280b + 2640a b - 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 135b cosh(x) + (1260b - 560a b)cosh(x) +--R + +--R 2 2 4 +--R (8550b - 9900a b + 3600a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 3420b + 3960a b - 1440a )cosh(x) - 45b + 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 30b cosh(x) + (360b - 160a b)cosh(x) +--R + +--R 2 2 5 +--R (3420b - 3960a b + 1440a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 2280b + 2640a b - 960a )cosh(x) + (- 90b + 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R 3b cosh(x) + (45b - 20a b)cosh(x) +--R + +--R 2 2 6 +--R (570b - 660a b + 240a )cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (- 570b + 660a b - 240a )cosh(x) + (- 45b + 20a b)cosh(x) - 3b +--R * +--R +---+ +--R \|a b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +---+ +--R \|a b +--R ] +--R Type: Union(List Expression Integer,...) +--E 342 + +--S 343 of 552 +m0763a:= a0763.1-r0763 +--R +--R +--R (335) +--R 3 2 2 3 5 +--R (240b - 720a b + 720a b - 240a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (1200b - 3600a b + 3600a b - 1200a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (2400b - 7200a b + 7200a b - 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (2400b - 7200a b + 7200a b - 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (1200b - 3600a b + 3600a b - 1200a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (240b - 720a b + 720a b - 240a )cosh(x) +--R * +--R +-+ +-+ +--R \|a \|b +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b - 4a)cosh(x) + b +--R * +--R +-----+ +--R \|- a b +--R + +--R 3 2 +--R 4a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 3 +--R (12a b cosh(x) - 4a b)sinh(x) + 4a b cosh(x) - 4a b cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 2b + 4a)cosh(x) + b +--R + +--R 3 2 2 3 5 +--R (- 480b + 1440a b - 1440a b + 480a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 2400b + 7200a b - 7200a b + 2400a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (- 4800b + 14400a b - 14400a b + 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 4800b + 14400a b - 14400a b + 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 2400b + 7200a b - 7200a b + 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 480b + 1440a b - 1440a b + 480a )cosh(x) +--R * +--R +-+ +--R +-----+ sinh(x)\|b +--R \|- a b atan(-----------) +--R +-+ +--R \|a +--R + +--R 2 10 2 9 +--R - 93b sinh(x) - 450b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (- 825b cosh(x) - 435b + 140a b)sinh(x) +--R + +--R 2 3 2 7 +--R (- 600b cosh(x) + (- 2040b + 640a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 150b cosh(x) + (- 3540b + 1040a b)cosh(x) - 870b + 780a b +--R + +--R 2 +--R - 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 660b cosh(x) + (- 2280b + 480a b)cosh(x) +--R + +--R 2 2 +--R (- 3780b + 3240a b - 960a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 630b cosh(x) + (750b - 600a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 5850b + 4500a b - 1200a )cosh(x) - 570b + 660a b - 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 360b cosh(x) + (2040b - 960a b)cosh(x) +--R + +--R 2 3 2 2 +--R (- 3000b + 1200a b)cosh(x) + (- 2280b + 2640a b - 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 135b cosh(x) + (1260b - 560a b)cosh(x) +--R + +--R 2 2 4 +--R (1350b - 2700a b + 1200a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 3420b + 3960a b - 1440a )cosh(x) - 45b + 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 30b cosh(x) + (360b - 160a b)cosh(x) +--R + +--R 2 2 5 +--R (1980b - 2520a b + 960a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 2280b + 2640a b - 960a )cosh(x) + (- 90b + 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R 3b cosh(x) + (45b - 20a b)cosh(x) +--R + +--R 2 2 6 2 2 4 +--R (570b - 660a b + 240a )cosh(x) + (- 570b + 660a b - 240a )cosh(x) +--R + +--R 2 2 2 +--R (- 45b + 20a b)cosh(x) - 3b +--R * +--R +-----+ +-+ +-+ +--R \|- a b \|a \|b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +-----+ +-+ +-+ +--R \|- a b \|a \|b +--R Type: Expression Integer +--E 343 + +--S 344 of 552 +d0763a:= D(m0763a,x) +--R +--R +--R (336) +--R 16 15 2 14 +--R b sinh(x) - 18b cosh(x)sinh(x) + (- 197b cosh(x) + 7b + a)sinh(x) +--R + +--R 3 13 +--R (- 788b cosh(x) + (52b - 114a)cosh(x))sinh(x) +--R + +--R 4 2 12 +--R (- 1687b cosh(x) + (46b - 805a)cosh(x) + 21b + 7a)sinh(x) +--R + +--R 5 3 +--R (- 2030b cosh(x) + (- 572b - 2324a)cosh(x) + (274b - 300a)cosh(x)) +--R * +--R 11 +--R sinh(x) +--R + +--R 6 4 +--R - 1029b cosh(x) + (- 2359b - 3479a)cosh(x) +--R + +--R 2 +--R (1265b - 2226a)cosh(x) + 35b + 21a +--R * +--R 10 +--R sinh(x) +--R + +--R 7 5 3 +--R 744b cosh(x) + (- 4312b - 2478a)cosh(x) + (2776b - 6524a)cosh(x) +--R + +--R (344b - 174a)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 8 6 4 +--R 1851b cosh(x) + (- 4284b + 315a)cosh(x) + (2746b - 9975a)cosh(x) +--R + +--R 2 +--R (1556b - 1743a)cosh(x) + 35b + 35a +--R * +--R 8 +--R sinh(x) +--R + +--R 9 7 5 +--R 1714b cosh(x) + (- 2072b + 2536a)cosh(x) + (- 244b - 7896a)cosh(x) +--R + +--R 3 +--R (3880b - 5544a)cosh(x) + (178b + 152a)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 10 8 6 +--R 969b cosh(x) + (73b + 2875a)cosh(x) + (- 3686b - 1596a)cosh(x) +--R + +--R 4 2 +--R (5522b - 9030a)cosh(x) + (493b + 84a)cosh(x) + 21b + 35a +--R * +--R 6 +--R sinh(x) +--R + +--R 11 9 7 +--R 364b cosh(x) + (676b + 2002a)cosh(x) + (- 4200b + 2856a)cosh(x) +--R + +--R 5 3 +--R (4168b - 8148a)cosh(x) + (1084b - 728a)cosh(x) + (52b + 210a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 12 10 8 +--R 91b cosh(x) + (366b + 1001a)cosh(x) + (- 2319b + 3081a)cosh(x) +--R + +--R 6 4 +--R (884b - 3654a)cosh(x) + (1805b - 2030a)cosh(x) +--R + +--R 2 +--R (- 34b + 525a)cosh(x) + 7b + 21a +--R * +--R 4 +--R sinh(x) +--R + +--R 13 11 9 +--R 14b cosh(x) + (84b + 364a)cosh(x) + (- 654b + 1540a)cosh(x) +--R + +--R 7 5 +--R (- 1064b - 168a)cosh(x) + (1970b - 2520a)cosh(x) +--R + +--R 3 +--R (- 236b + 700a)cosh(x) + (14b + 84a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 14 12 10 +--R b cosh(x) + (7b + 91a)cosh(x) + (- 75b + 462a)cosh(x) +--R + +--R 8 6 +--R (- 925b + 561a)cosh(x) + (1283b - 1708a)cosh(x) +--R + +--R 4 2 +--R (- 299b + 525a)cosh(x) + (7b + 126a)cosh(x) + b + 7a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R 14a cosh(x) + 84a cosh(x) + (- 288b + 210a)cosh(x) +--R + +--R 7 5 3 +--R (448b - 616a)cosh(x) + (- 160b + 210a)cosh(x) + 84a cosh(x) +--R + +--R 14a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R a cosh(x) + 7a cosh(x) + (- 32b + 21a)cosh(x) + (64b - 93a)cosh(x) +--R + +--R 6 4 2 +--R (- 32b + 35a)cosh(x) + 21a cosh(x) + 7a cosh(x) + a +--R / +--R 2 11 2 10 +--R 32b sinh(x) + 288b cosh(x)sinh(x) +--R + +--R 2 2 2 9 +--R (1152b cosh(x) - 64b + 160a b)sinh(x) +--R + +--R 2 3 2 8 +--R (2688b cosh(x) + (- 448b + 1184a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (4032b cosh(x) + (- 1344b + 3840a b)cosh(x) + 32b - 64a b + 128a ) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 4032b cosh(x) + (- 2240b + 7168a b)cosh(x) +--R + +--R 2 2 +--R (160b - 448a b + 896a )cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 2688b cosh(x) + (- 2240b + 8512a b)cosh(x) +--R + +--R 2 2 2 +--R (320b - 1344a b + 2688a )cosh(x) + 32a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 1152b cosh(x) + (- 1344b + 6720a b)cosh(x) +--R + +--R 2 2 3 +--R (320b - 2240a b + 4480a )cosh(x) + 160a b cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 288b cosh(x) + (- 448b + 3584a b)cosh(x) +--R + +--R 2 2 4 2 +--R (160b - 2240a b + 4480a )cosh(x) + 320a b cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 32b cosh(x) + (- 64b + 1280a b)cosh(x) +--R + +--R 2 2 5 3 +--R (32b - 1344a b + 2688a )cosh(x) + 320a b cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 8 2 6 4 +--R (288a b cosh(x) + (- 448a b + 896a )cosh(x) + 160a b cosh(x) )sinh(x) +--R + +--R 9 2 7 5 +--R 32a b cosh(x) + (- 64a b + 128a )cosh(x) + 32a b cosh(x) +--R Type: Expression Integer +--E 344 + +--S 345 of 552 +m0763b:= a0763.2-r0763 +--R +--R +--R (337) +--R 3 2 2 3 5 +--R (480b - 1440a b + 1440a b - 480a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b - 7200a b + 7200a b - 2400a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (4800b - 14400a b + 14400a b - 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (4800b - 14400a b + 14400a b - 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b - 7200a b + 7200a b - 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (480b - 1440a b + 1440a b - 480a )cosh(x) +--R * +--R +---+ +--R +-+ +-+ (sinh(x) + cosh(x))\|a b +--R \|a \|b atan(-------------------------) +--R 2a +--R + +--R 3 2 2 3 5 +--R (- 480b + 1440a b - 1440a b + 480a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 2400b + 7200a b - 7200a b + 2400a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (- 4800b + 14400a b - 14400a b + 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 4800b + 14400a b - 14400a b + 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 2400b + 7200a b - 7200a b + 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 480b + 1440a b - 1440a b + 480a )cosh(x) +--R * +--R +-+ +--R +---+ sinh(x)\|b +--R \|a b atan(-----------) +--R +-+ +--R \|a +--R + +--R 3 2 2 3 5 +--R (480b - 1440a b + 1440a b - 480a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b - 7200a b + 7200a b - 2400a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (4800b - 14400a b + 14400a b - 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (4800b - 14400a b + 14400a b - 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b - 7200a b + 7200a b - 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (480b - 1440a b + 1440a b - 480a )cosh(x) +--R * +--R +-+ +-+ +--R \|a \|b +--R * +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) - b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (- b + 4a)cosh(x) +--R / +--R +---+ +--R 2\|a b +--R + +--R 2 10 2 9 +--R - 93b sinh(x) - 450b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (- 825b cosh(x) - 435b + 140a b)sinh(x) +--R + +--R 2 3 2 7 +--R (- 600b cosh(x) + (- 2040b + 640a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 150b cosh(x) + (- 3540b + 1040a b)cosh(x) - 870b + 780a b +--R + +--R 2 +--R - 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 660b cosh(x) + (- 2280b + 480a b)cosh(x) +--R + +--R 2 2 +--R (- 3780b + 3240a b - 960a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 630b cosh(x) + (750b - 600a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 5850b + 4500a b - 1200a )cosh(x) - 570b + 660a b - 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 360b cosh(x) + (2040b - 960a b)cosh(x) +--R + +--R 2 3 2 2 +--R (- 3000b + 1200a b)cosh(x) + (- 2280b + 2640a b - 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 135b cosh(x) + (1260b - 560a b)cosh(x) +--R + +--R 2 2 4 +--R (1350b - 2700a b + 1200a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 3420b + 3960a b - 1440a )cosh(x) - 45b + 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 30b cosh(x) + (360b - 160a b)cosh(x) +--R + +--R 2 2 5 +--R (1980b - 2520a b + 960a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 2280b + 2640a b - 960a )cosh(x) + (- 90b + 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R 3b cosh(x) + (45b - 20a b)cosh(x) +--R + +--R 2 2 6 2 2 4 +--R (570b - 660a b + 240a )cosh(x) + (- 570b + 660a b - 240a )cosh(x) +--R + +--R 2 2 2 +--R (- 45b + 20a b)cosh(x) - 3b +--R * +--R +-+ +-+ +---+ +--R \|a \|b \|a b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +-+ +-+ +---+ +--R \|a \|b \|a b +--R Type: Expression Integer +--E 345 + +--S 346 of 552 +d0763b:= D(m0763b,x) +--R +--R +--R (338) +--R 16 15 2 14 +--R b sinh(x) - 18b cosh(x)sinh(x) + (- 197b cosh(x) + 7b + a)sinh(x) +--R + +--R 3 13 +--R (- 788b cosh(x) + (52b - 114a)cosh(x))sinh(x) +--R + +--R 4 2 12 +--R (- 1687b cosh(x) + (46b - 805a)cosh(x) + 21b + 7a)sinh(x) +--R + +--R 5 3 +--R (- 2030b cosh(x) + (- 572b - 2324a)cosh(x) + (274b - 300a)cosh(x)) +--R * +--R 11 +--R sinh(x) +--R + +--R 6 4 +--R - 1029b cosh(x) + (- 2359b - 3479a)cosh(x) +--R + +--R 2 +--R (1265b - 2226a)cosh(x) + 35b + 21a +--R * +--R 10 +--R sinh(x) +--R + +--R 7 5 3 +--R 744b cosh(x) + (- 4312b - 2478a)cosh(x) + (2776b - 6524a)cosh(x) +--R + +--R (344b - 174a)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 8 6 4 +--R 1851b cosh(x) + (- 4284b + 315a)cosh(x) + (2746b - 9975a)cosh(x) +--R + +--R 2 +--R (1556b - 1743a)cosh(x) + 35b + 35a +--R * +--R 8 +--R sinh(x) +--R + +--R 9 7 5 +--R 1714b cosh(x) + (- 2072b + 2536a)cosh(x) + (- 244b - 7896a)cosh(x) +--R + +--R 3 +--R (3880b - 5544a)cosh(x) + (178b + 152a)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 10 8 6 +--R 969b cosh(x) + (73b + 2875a)cosh(x) + (- 3686b - 1596a)cosh(x) +--R + +--R 4 2 +--R (5522b - 9030a)cosh(x) + (493b + 84a)cosh(x) + 21b + 35a +--R * +--R 6 +--R sinh(x) +--R + +--R 11 9 7 +--R 364b cosh(x) + (676b + 2002a)cosh(x) + (- 4200b + 2856a)cosh(x) +--R + +--R 5 3 +--R (4168b - 8148a)cosh(x) + (1084b - 728a)cosh(x) + (52b + 210a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 12 10 8 +--R 91b cosh(x) + (366b + 1001a)cosh(x) + (- 2319b + 3081a)cosh(x) +--R + +--R 6 4 +--R (884b - 3654a)cosh(x) + (1805b - 2030a)cosh(x) +--R + +--R 2 +--R (- 34b + 525a)cosh(x) + 7b + 21a +--R * +--R 4 +--R sinh(x) +--R + +--R 13 11 9 +--R 14b cosh(x) + (84b + 364a)cosh(x) + (- 654b + 1540a)cosh(x) +--R + +--R 7 5 +--R (- 1064b - 168a)cosh(x) + (1970b - 2520a)cosh(x) +--R + +--R 3 +--R (- 236b + 700a)cosh(x) + (14b + 84a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 14 12 10 +--R b cosh(x) + (7b + 91a)cosh(x) + (- 75b + 462a)cosh(x) +--R + +--R 8 6 +--R (- 925b + 561a)cosh(x) + (1283b - 1708a)cosh(x) +--R + +--R 4 2 +--R (- 299b + 525a)cosh(x) + (7b + 126a)cosh(x) + b + 7a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R 14a cosh(x) + 84a cosh(x) + (- 288b + 210a)cosh(x) +--R + +--R 7 5 3 +--R (448b - 616a)cosh(x) + (- 160b + 210a)cosh(x) + 84a cosh(x) +--R + +--R 14a cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 8 +--R a cosh(x) + 7a cosh(x) + (- 32b + 21a)cosh(x) + (64b - 93a)cosh(x) +--R + +--R 6 4 2 +--R (- 32b + 35a)cosh(x) + 21a cosh(x) + 7a cosh(x) + a +--R / +--R 2 11 2 10 +--R 32b sinh(x) + 288b cosh(x)sinh(x) +--R + +--R 2 2 2 9 +--R (1152b cosh(x) - 64b + 160a b)sinh(x) +--R + +--R 2 3 2 8 +--R (2688b cosh(x) + (- 448b + 1184a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (4032b cosh(x) + (- 1344b + 3840a b)cosh(x) + 32b - 64a b + 128a ) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 4032b cosh(x) + (- 2240b + 7168a b)cosh(x) +--R + +--R 2 2 +--R (160b - 448a b + 896a )cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 2688b cosh(x) + (- 2240b + 8512a b)cosh(x) +--R + +--R 2 2 2 +--R (320b - 1344a b + 2688a )cosh(x) + 32a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 1152b cosh(x) + (- 1344b + 6720a b)cosh(x) +--R + +--R 2 2 3 +--R (320b - 2240a b + 4480a )cosh(x) + 160a b cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 288b cosh(x) + (- 448b + 3584a b)cosh(x) +--R + +--R 2 2 4 2 +--R (160b - 2240a b + 4480a )cosh(x) + 320a b cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 32b cosh(x) + (- 64b + 1280a b)cosh(x) +--R + +--R 2 2 5 3 +--R (32b - 1344a b + 2688a )cosh(x) + 320a b cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 8 2 6 4 +--R (288a b cosh(x) + (- 448a b + 896a )cosh(x) + 160a b cosh(x) )sinh(x) +--R + +--R 9 2 7 5 +--R 32a b cosh(x) + (- 64a b + 128a )cosh(x) + 32a b cosh(x) +--R Type: Expression Integer +--E 346 + +--S 347 of 552 +t0764:= cosh(x)^2/(a+a*sinh(x)^2) +--R +--R +--R 2 +--R cosh(x) +--R (339) -------------- +--R 2 +--R a sinh(x) + a +--R Type: Expression Integer +--E 347 + +--S 348 of 552 +r0764:= x/a +--R +--R +--R x +--R (340) - +--R a +--R Type: Fraction Polynomial Integer +--E 348 + +--S 349 of 552 +a0764:= integrate(t0764,x) +--R +--R +--R x +--R (341) - +--R a +--R Type: Union(Expression Integer,...) +--E 349 + +--S 350 of 552 +m0764:= a0764-r0764 +--R +--R +--R (342) 0 +--R Type: Expression Integer +--E 350 + +--S 351 of 552 +d0764:= D(m0764,x) +--R +--R +--R (343) 0 +--R Type: Expression Integer +--E 351 + +--S 352 of 552 +t0765:= cosh(x)^4/(a+a*sinh(x)^2) +--R +--R +--R 4 +--R cosh(x) +--R (344) -------------- +--R 2 +--R a sinh(x) + a +--R Type: Expression Integer +--E 352 + +--S 353 of 552 +r0765:= 1/2*(x+cosh(x)*sinh(x))/a +--R +--R +--R cosh(x)sinh(x) + x +--R (345) ------------------ +--R 2a +--R Type: Expression Integer +--E 353 + +--S 354 of 552 +a0765:= integrate(t0765,x) +--R +--R +--R cosh(x)sinh(x) + x +--R (346) ------------------ +--R 2a +--R Type: Union(Expression Integer,...) +--E 354 + +--S 355 of 552 +m0765:= a0765-r0765 +--R +--R +--R (347) 0 +--R Type: Expression Integer +--E 355 + +--S 356 of 552 +d0765:= D(m0765,x) +--R +--R +--R (348) 0 +--R Type: Expression Integer +--E 356 + +--S 357 of 552 +t0766:= cosh(x)^2/(1-sinh(x)^2) +--R +--R +--R 2 +--R cosh(x) +--R (349) - ------------ +--R 2 +--R sinh(x) - 1 +--R Type: Expression Integer +--E 357 + +--S 358 of 552 +r0766:= -x+atanh(2^(1/2)*tanh(x))*2^(1/2) +--R +--R +--R +-+ +-+ +--R (350) \|2 atanh(\|2 tanh(x)) - x +--R Type: Expression Integer +--E 358 + +--S 359 of 552 +a0766:= integrate(t0766,x) +--R +--R +--R (351) +--R +-+ +--R \|2 +--R * +--R log +--R +-+ 2 +-+ +--R (- 6\|2 + 9)sinh(x) + (12\|2 - 16)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 6\|2 + 9)cosh(x) + 2\|2 - 3 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R - 2x +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 359 + +--S 360 of 552 +m0766:= a0766-r0766 +--R +--R +--R (352) +--R +-+ +--R \|2 +--R * +--R log +--R +-+ 2 +-+ +--R (- 6\|2 + 9)sinh(x) + (12\|2 - 16)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 6\|2 + 9)cosh(x) + 2\|2 - 3 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R +-+ +-+ +--R - 2\|2 atanh(\|2 tanh(x)) +--R / +--R 2 +--R Type: Expression Integer +--E 360 + +--S 361 of 552 +d0766:= D(m0766,x) +--R +--R +--R (353) +--R +-+ 4 +-+ 3 +--R (4\|2 - 6)sinh(x) + (24\|2 - 32)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((- 56\|2 + 84)cosh(x) - 8\|2 + 12)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((24\|2 - 32)cosh(x) + (24\|2 - 32)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (4\|2 - 6)cosh(x) + (- 8\|2 + 12)cosh(x) - 12\|2 + 18 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 4 +-+ 3 +--R (4\|2 - 6)sinh(x) + (- 24\|2 + 32)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((40\|2 - 60)cosh(x) - 16\|2 + 24)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((- 24\|2 + 32)cosh(x) + (24\|2 - 32)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (4\|2 - 6)cosh(x) + (- 16\|2 + 24)cosh(x) + 12\|2 - 18 +--R / +--R +-+ 4 +-+ 3 +--R (12\|2 - 18)sinh(x) + (- 24\|2 + 32)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((24\|2 - 36)cosh(x) - 40\|2 + 60)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((- 24\|2 + 32)cosh(x) + (72\|2 - 96)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (12\|2 - 18)cosh(x) + (- 40\|2 + 60)cosh(x) + 12\|2 - 18 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 4 +-+ 3 +--R (- 6\|2 + 9)sinh(x) + (12\|2 - 16)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R ((- 12\|2 + 18)cosh(x) + 20\|2 - 30)sinh(x) +--R + +--R +-+ 3 +-+ +--R ((12\|2 - 16)cosh(x) + (- 36\|2 + 48)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 6\|2 + 9)cosh(x) + (20\|2 - 30)cosh(x) - 6\|2 + 9 +--R Type: Expression Integer +--E 361 + +--S 362 of 552 +t0767:= cosh(x)^3/(1-sinh(x)^2) +--R +--R +--R 3 +--R cosh(x) +--R (354) - ------------ +--R 2 +--R sinh(x) - 1 +--R Type: Expression Integer +--E 362 + +--S 363 of 552 +r0767:= 2*atanh(sinh(x))-sinh(x) +--R +--R +--R (355) 2atanh(sinh(x)) - sinh(x) +--R Type: Expression Integer +--E 363 + +--S 364 of 552 +a0767:= integrate(t0767,x) +--R +--R +--R (356) +--R - 2sinh(x) + 2 +--R (- 2sinh(x) - 2cosh(x))log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R - 2sinh(x) - 2 2 +--R (2sinh(x) + 2cosh(x))log(-----------------) - sinh(x) - 2cosh(x)sinh(x) +--R sinh(x) - cosh(x) +--R + +--R 2 +--R - cosh(x) + 1 +--R / +--R 2sinh(x) + 2cosh(x) +--R Type: Union(Expression Integer,...) +--E 364 + +--S 365 of 552 +m0767:= a0767-r0767 +--R +--R +--R (357) +--R - 2sinh(x) + 2 +--R (- 2sinh(x) - 2cosh(x))log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R - 2sinh(x) - 2 +--R (2sinh(x) + 2cosh(x))log(-----------------) +--R sinh(x) - cosh(x) +--R + +--R 2 2 +--R (- 4sinh(x) - 4cosh(x))atanh(sinh(x)) + sinh(x) - cosh(x) + 1 +--R / +--R 2sinh(x) + 2cosh(x) +--R Type: Expression Integer +--E 365 + +--S 366 of 552 +d0767:= D(m0767,x) +--R +--R +--R 2 2 +--R - sinh(x) + cosh(x) - 1 +--R (358) ------------------------- +--R 2sinh(x) + 2cosh(x) +--R Type: Expression Integer +--E 366 + +--S 367 of 552 +t0768:= cosh(x)^4/(1-sinh(x)^2) +--R +--R +--R 4 +--R cosh(x) +--R (359) - ------------ +--R 2 +--R sinh(x) - 1 +--R Type: Expression Integer +--E 367 + +--S 368 of 552 +r0768:= -5/2*x+2*atanh(2^(1/2)*tanh(x))*2^(1/2)-1/2*cosh(x)*sinh(x) +--R +--R +--R +-+ +-+ +--R 4\|2 atanh(\|2 tanh(x)) - cosh(x)sinh(x) - 5x +--R (360) --------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 368 + +--S 369 of 552 +a0768:= integrate(t0768,x) +--R +--R +--R (361) +--R +-+ 2 +-+ +-+ 2 +--R (8\|2 sinh(x) + 16\|2 cosh(x)sinh(x) + 8\|2 cosh(x) ) +--R * +--R log +--R +-+ 2 +-+ +--R (- 6\|2 + 9)sinh(x) + (12\|2 - 16)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 6\|2 + 9)cosh(x) + 2\|2 - 3 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R 4 3 2 2 +--R - sinh(x) - 4cosh(x)sinh(x) + (- 6cosh(x) - 20x)sinh(x) +--R + +--R 3 4 2 +--R (- 4cosh(x) - 40x cosh(x))sinh(x) - cosh(x) - 20x cosh(x) + 1 +--R / +--R 2 2 +--R 8sinh(x) + 16cosh(x)sinh(x) + 8cosh(x) +--R Type: Union(Expression Integer,...) +--E 369 + +--S 370 of 552 +m0768:= a0768-r0768 +--R +--R +--R (362) +--R +-+ 2 +-+ +-+ 2 +--R (8\|2 sinh(x) + 16\|2 cosh(x)sinh(x) + 8\|2 cosh(x) ) +--R * +--R log +--R +-+ 2 +-+ +--R (- 6\|2 + 9)sinh(x) + (12\|2 - 16)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (- 6\|2 + 9)cosh(x) + 2\|2 - 3 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R +-+ 2 +-+ +-+ 2 +--R (- 16\|2 sinh(x) - 32\|2 cosh(x)sinh(x) - 16\|2 cosh(x) ) +--R * +--R +-+ +--R atanh(\|2 tanh(x)) +--R + +--R 4 2 2 4 +--R - sinh(x) + 2cosh(x) sinh(x) - cosh(x) + 1 +--R / +--R 2 2 +--R 8sinh(x) + 16cosh(x)sinh(x) + 8cosh(x) +--R Type: Expression Integer +--E 370 + +--S 371 of 552 +d0768:= D(m0768,x) +--R +--R +--R (363) +--R +-+ 8 +-+ 7 +--R (12\|2 - 18)sinh(x) + (- 24\|2 + 32)cosh(x)sinh(x) +--R + +--R +-+ 6 +--R (- 8\|2 + 12)sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R ((24\|2 - 32)cosh(x) + (328\|2 - 448)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((- 24\|2 + 36)cosh(x) + (8\|2 + 52)cosh(x) - 64\|2 + 96) +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (24\|2 - 32)cosh(x) + (- 656\|2 + 1024)cosh(x) +--R + +--R +-+ +--R (88\|2 - 96)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((8\|2 + 52)cosh(x) + (208\|2 - 248)cosh(x) - 56\|2 + 84) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 24\|2 + 32)cosh(x) + (328\|2 - 448)cosh(x) +--R + +--R +-+ 3 +-+ +--R (88\|2 - 96)cosh(x) + (- 264\|2 + 384)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (12\|2 - 18)cosh(x) + (- 8\|2 + 12)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 64\|2 + 96)cosh(x) + (- 56\|2 + 84)cosh(x) - 12\|2 + 18 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 8 +-+ 7 +--R (- 6\|2 + 9)sinh(x) + (12\|2 - 16)cosh(x)sinh(x) +--R + +--R +-+ 6 +--R (52\|2 - 78)sinh(x) +--R + +--R +-+ 3 +-+ 5 +--R ((- 12\|2 + 16)cosh(x) + (- 164\|2 + 208)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 4 +--R ((12\|2 - 18)cosh(x) + (- 52\|2 + 14)cosh(x) - 128\|2 + 192)sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 12\|2 + 16)cosh(x) + (328\|2 - 544)cosh(x) +--R + +--R +-+ +--R (- 76\|2 + 144)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((- 52\|2 + 14)cosh(x) + (152\|2 - 164)cosh(x) + 76\|2 - 114) +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (12\|2 - 16)cosh(x) + (- 164\|2 + 208)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 76\|2 + 144)cosh(x) + (228\|2 - 336)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +-+ 4 +--R (- 6\|2 + 9)cosh(x) + (52\|2 - 78)cosh(x) + (- 128\|2 + 192)cosh(x) +--R + +--R +-+ 2 +-+ +--R (76\|2 - 114)cosh(x) + 6\|2 - 9 +--R / +--R +-+ 6 5 +--R (48\|2 - 72)sinh(x) - 16cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R ((- 48\|2 + 40)cosh(x) - 160\|2 + 240)sinh(x) +--R + +--R 3 +-+ 3 +--R (- 32cosh(x) + (- 32\|2 + 96)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((- 48\|2 + 40)cosh(x) + (256\|2 - 288)cosh(x) + 48\|2 - 72) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 +-+ 3 +-+ +--R (- 16cosh(x) + (- 32\|2 + 96)cosh(x) + (96\|2 - 144)cosh(x)) +--R * +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (48\|2 - 72)cosh(x) + (- 160\|2 + 240)cosh(x) +--R + +--R +-+ 2 +--R (48\|2 - 72)cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 6 5 +--R (- 24\|2 + 36)sinh(x) + 8cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 4 +--R ((24\|2 - 20)cosh(x) + 80\|2 - 120)sinh(x) +--R + +--R 3 +-+ 3 +--R (16cosh(x) + (16\|2 - 48)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R ((24\|2 - 20)cosh(x) + (- 128\|2 + 144)cosh(x) - 24\|2 + 36)sinh(x) +--R + +--R 5 +-+ 3 +-+ +--R (8cosh(x) + (16\|2 - 48)cosh(x) + (- 48\|2 + 72)cosh(x))sinh(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +--R (- 24\|2 + 36)cosh(x) + (80\|2 - 120)cosh(x) + (- 24\|2 + 36)cosh(x) +--R Type: Expression Integer +--E 371 + +--S 372 of 552 +t0769:= coth(x)/(1-sinh(x)^2) +--R +--R +--R coth(x) +--R (364) - ------------ +--R 2 +--R sinh(x) - 1 +--R Type: Expression Integer +--E 372 + +--S 373 of 552 +r0769:= atanh(-3+2*cosh(x)^2) +--R +--R +--R 2 +--R (365) atanh(2cosh(x) - 3) +--R Type: Expression Integer +--E 373 + +--S 374 of 552 +a0769:= integrate(t0769,x) +--R +--R +--R (366) +--R 2 2 +--R 2sinh(x) + 2cosh(x) - 6 2sinh(x) +--R - log(-------------------------------------) + 2log(- -----------------) +--R 2 2 sinh(x) - cosh(x) +--R sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R ------------------------------------------------------------------------ +--R 2 +--R Type: Union(Expression Integer,...) +--E 374 + +--S 375 of 552 +m0769:= a0769-r0769 +--R +--R +--R (367) +--R 2 2 +--R 2sinh(x) + 2cosh(x) - 6 2sinh(x) +--R - log(-------------------------------------) + 2log(- -----------------) +--R 2 2 sinh(x) - cosh(x) +--R sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R - 2atanh(2cosh(x) - 3) +--R / +--R 2 +--R Type: Expression Integer +--E 375 + +--S 376 of 552 +d0769:= D(m0769,x) +--R +--R +--R (368) +--R 4 5 3 2 7 +--R cosh(x)sinh(x) + (- cosh(x) + 4cosh(x) - 5cosh(x))sinh(x) + cosh(x) +--R + +--R 5 3 +--R - 6cosh(x) + 11cosh(x) - 6cosh(x) +--R / +--R 4 2 3 +--R (cosh(x) - 3cosh(x) + 2)sinh(x) +--R + +--R 6 4 2 +--R (cosh(x) - 6cosh(x) + 11cosh(x) - 6)sinh(x) +--R Type: Expression Integer +--E 376 + +--S 377 of 552 +t0770:= cosh(x)^4/(1-sinh(x)^2)^2 +--R +--R +--R 4 +--R cosh(x) +--R (369) ------------------------ +--R 4 2 +--R sinh(x) - 2sinh(x) + 1 +--R Type: Expression Integer +--E 377 + +--S 378 of 552 +r0770:= x-1/2*atanh(2^(1/2)*tanh(x))*2^(1/2)+tanh(x)/(1-2*tanh(x)^2) +--R +--R +--R (370) +--R +-+ 2 +-+ +-+ 2 +--R (- 2\|2 tanh(x) + \|2 )atanh(\|2 tanh(x)) + 4x tanh(x) - 2tanh(x) - 2x +--R ------------------------------------------------------------------------ +--R 2 +--R 4tanh(x) - 2 +--R Type: Expression Integer +--E 378 + +--S 379 of 552 +a0770:= integrate(t0770,x) +--R +--R +--R (371) +--R 4 3 2 2 +--R sinh(x) + 4cosh(x)sinh(x) + (6cosh(x) - 6)sinh(x) +--R + +--R 3 4 2 +--R (4cosh(x) - 12cosh(x))sinh(x) + cosh(x) - 6cosh(x) + 1 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 + 12)sinh(x) + (- 16\|2 - 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 + 12)cosh(x) - 3\|2 - 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R +-+ 4 +-+ 3 +--R 2x\|2 sinh(x) + 8x\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (12x\|2 cosh(x) + (- 12x - 12)\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (8x\|2 cosh(x) + (- 24x - 24)\|2 cosh(x))sinh(x) + 2x\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 12x - 12)\|2 cosh(x) + (2x + 4)\|2 +--R / +--R +-+ 4 +-+ 3 +-+ 2 +-+ 2 +--R 2\|2 sinh(x) + 8\|2 cosh(x)sinh(x) + (12\|2 cosh(x) - 12\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +-+ 2 +--R (8\|2 cosh(x) - 24\|2 cosh(x))sinh(x) + 2\|2 cosh(x) - 12\|2 cosh(x) +--R + +--R +-+ +--R 2\|2 +--R Type: Union(Expression Integer,...) +--E 379 + +--S 380 of 552 +m0770:= a0770-r0770 +--R +--R +--R (372) +--R 4 3 2 2 +--R 2sinh(x) + 8cosh(x)sinh(x) + (12cosh(x) - 12)sinh(x) +--R + +--R 3 4 2 +--R (8cosh(x) - 24cosh(x))sinh(x) + 2cosh(x) - 12cosh(x) + 2 +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - sinh(x) - 4cosh(x)sinh(x) + (- 6cosh(x) + 6)sinh(x) +--R + +--R 3 4 2 +--R (- 4cosh(x) + 12cosh(x))sinh(x) - cosh(x) + 6cosh(x) - 1 +--R * +--R log +--R +-+ 2 +-+ +--R (9\|2 + 12)sinh(x) + (- 16\|2 - 24)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ +--R (9\|2 + 12)cosh(x) - 3\|2 - 4 +--R / +--R 2 2 +--R sinh(x) + cosh(x) - 3 +--R + +--R 4 3 2 2 +--R 4sinh(x) + 16cosh(x)sinh(x) + (24cosh(x) - 24)sinh(x) +--R + +--R 3 4 2 +--R (16cosh(x) - 48cosh(x))sinh(x) + 4cosh(x) - 24cosh(x) + 4 +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - 2sinh(x) - 8cosh(x)sinh(x) + (- 12cosh(x) + 12)sinh(x) +--R + +--R 3 4 2 +--R (- 8cosh(x) + 24cosh(x))sinh(x) - 2cosh(x) + 12cosh(x) - 2 +--R * +--R +-+ +--R atanh(\|2 tanh(x)) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R (- 24\|2 sinh(x) - 48\|2 cosh(x)sinh(x) - 24\|2 cosh(x) + 8\|2 ) +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 4 +-+ 3 +--R 2\|2 sinh(x) + 8\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (12\|2 cosh(x) - 12\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (8\|2 cosh(x) - 24\|2 cosh(x))sinh(x) + 2\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 12\|2 cosh(x) + 2\|2 +--R * +--R tanh(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ +--R 12\|2 sinh(x) + 24\|2 cosh(x)sinh(x) + 12\|2 cosh(x) - 4\|2 +--R / +--R +-+ 4 +-+ 3 +--R 4\|2 sinh(x) + 16\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (24\|2 cosh(x) - 24\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +--R (16\|2 cosh(x) - 48\|2 cosh(x))sinh(x) + 4\|2 cosh(x) +--R + +--R +-+ 2 +-+ +--R - 24\|2 cosh(x) + 4\|2 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 4 +-+ 3 +--R - 2\|2 sinh(x) - 8\|2 cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 2 +--R (- 12\|2 cosh(x) + 12\|2 )sinh(x) +--R + +--R +-+ 3 +-+ +-+ 4 +-+ 2 +--R (- 8\|2 cosh(x) + 24\|2 cosh(x))sinh(x) - 2\|2 cosh(x) + 12\|2 cosh(x) +--R + +--R +-+ +--R - 2\|2 +--R Type: Expression Integer +--E 380 + +--S 381 of 552 +d0770:= D(m0770,x) +--R +--R +--R (373) +--R +-+ 12 +-+ 11 +--R (12\|2 + 16)sinh(x) + (32\|2 + 32)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 56\|2 - 160)cosh(x) + 240\|2 + 320)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 224\|2 - 608)cosh(x) + (1408\|2 + 1888)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (116\|2 - 528)cosh(x) + (2864\|2 + 3904)cosh(x) - 660\|2 +--R + +--R - 880 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (1216\|2 + 576)cosh(x) + (1024\|2 + 1664)cosh(x) +--R + +--R +-+ +--R (- 4608\|2 - 6208)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (1904\|2 + 1344)cosh(x) + (- 5152\|2 - 6272)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 6288\|2 - 8128)cosh(x) - 576\|2 - 768 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (1216\|2 + 576)cosh(x) + (- 8960\|2 - 11200)cosh(x) +--R + +--R +-+ 3 +-+ +--R (5760\|2 + 9280)cosh(x) + (- 1984\|2 - 2496)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (116\|2 - 528)cosh(x) + (- 5152\|2 - 6272)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (16200\|2 + 24160)cosh(x) + (- 2752\|2 - 3072)cosh(x) +--R + +--R +-+ +--R 228\|2 + 304 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 224\|2 - 608)cosh(x) + (1024\|2 + 1664)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (5760\|2 + 9280)cosh(x) + (- 2688\|2 - 2688)cosh(x) +--R + +--R +-+ +--R (4064\|2 + 5664)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 56\|2 - 160)cosh(x) + (2864\|2 + 3904)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 6288\|2 - 8128)cosh(x) + (- 2752\|2 - 3072)cosh(x) +--R + +--R +-+ 2 +-+ +--R (7944\|2 + 11104)cosh(x) - 48\|2 - 64 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (32\|2 + 32)cosh(x) + (1408\|2 + 1888)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 4608\|2 - 6208)cosh(x) + (- 1984\|2 - 2496)cosh(x) +--R + +--R +-+ 3 +-+ +--R (4064\|2 + 5664)cosh(x) + (64\|2 + 96)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (12\|2 + 16)cosh(x) + (240\|2 + 320)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 660\|2 - 880)cosh(x) + (- 576\|2 - 768)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (228\|2 + 304)cosh(x) + (- 48\|2 - 64)cosh(x) + 36\|2 + 48 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (- 12\|2 - 16)sinh(x) + (- 32\|2 - 32)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((56\|2 + 160)cosh(x) - 240\|2 - 320)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((224\|2 + 608)cosh(x) + (- 1408\|2 - 1888)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 116\|2 + 528)cosh(x) + (- 2864\|2 - 3904)cosh(x) + 660\|2 +--R + +--R 880 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 1216\|2 - 576)cosh(x) + (- 1024\|2 - 1664)cosh(x) +--R + +--R +-+ +--R (4608\|2 + 6208)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 1904\|2 - 1344)cosh(x) + (5152\|2 + 6272)cosh(x) +--R + +--R +-+ 2 +-+ +--R (6288\|2 + 8128)cosh(x) + 576\|2 + 768 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 1216\|2 - 576)cosh(x) + (8960\|2 + 11200)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 5760\|2 - 9280)cosh(x) + (1984\|2 + 2496)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 116\|2 + 528)cosh(x) + (5152\|2 + 6272)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 16200\|2 - 24160)cosh(x) + (2752\|2 + 3072)cosh(x) +--R + +--R +-+ +--R - 228\|2 - 304 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (224\|2 + 608)cosh(x) + (- 1024\|2 - 1664)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 5760\|2 - 9280)cosh(x) + (2688\|2 + 2688)cosh(x) +--R + +--R +-+ +--R (- 4064\|2 - 5664)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (56\|2 + 160)cosh(x) + (- 2864\|2 - 3904)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (6288\|2 + 8128)cosh(x) + (2752\|2 + 3072)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 7944\|2 - 11104)cosh(x) + 48\|2 + 64 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 32\|2 - 32)cosh(x) + (- 1408\|2 - 1888)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (4608\|2 + 6208)cosh(x) + (1984\|2 + 2496)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 4064\|2 - 5664)cosh(x) + (- 64\|2 - 96)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 12\|2 - 16)cosh(x) + (- 240\|2 - 320)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (660\|2 + 880)cosh(x) + (576\|2 + 768)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 228\|2 - 304)cosh(x) + (48\|2 + 64)cosh(x) - 36\|2 - 48 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (- 6\|2 - 8)sinh(x) + (- 48\|2 - 64)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 156\|2 - 208)cosh(x) + 198\|2 + 264)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 240\|2 - 320)cosh(x) + (1000\|2 + 1296)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((- 90\|2 - 120)cosh(x) + (1886\|2 + 2280)cosh(x) - 876\|2 - 1168) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (288\|2 + 384)cosh(x) + (1216\|2 + 960)cosh(x) +--R + +--R +-+ +--R (- 3568\|2 - 4576)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (504\|2 + 672)cosh(x) + (- 1060\|2 - 2544)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 4432\|2 - 4864)cosh(x) + 1212\|2 + 1616 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (288\|2 + 384)cosh(x) + (- 2384\|2 - 4512)cosh(x) +--R + +--R +-+ 3 +-+ +--R (368\|2 + 3040)cosh(x) + (2912\|2 + 3584)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 90\|2 - 120)cosh(x) + (- 1060\|2 - 2544)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (4216\|2 + 8992)cosh(x) + (1556\|2 + 944)cosh(x) - 654\|2 - 872 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 240\|2 - 320)cosh(x) + (1216\|2 + 960)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (368\|2 + 3040)cosh(x) + (- 288\|2 - 2048)cosh(x) +--R + +--R +-+ +--R (- 480\|2 - 480)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 156\|2 - 208)cosh(x) + (1886\|2 + 2280)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 4432\|2 - 4864)cosh(x) + (1556\|2 + 944)cosh(x) +--R + +--R +-+ 2 +-+ +--R (348\|2 + 784)cosh(x) + 126\|2 + 168 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 48\|2 - 64)cosh(x) + (1000\|2 + 1296)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 3568\|2 - 4576)cosh(x) + (2912\|2 + 3584)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 480\|2 - 480)cosh(x) + (184\|2 + 240)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 6\|2 - 8)cosh(x) + (198\|2 + 264)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 876\|2 - 1168)cosh(x) + (1212\|2 + 1616)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 654\|2 - 872)cosh(x) + (126\|2 + 168)cosh(x) +--R / +--R +-+ 12 +-+ 11 +--R (36\|2 + 48)sinh(x) + (224\|2 + 288)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((568\|2 + 672)cosh(x) - 552\|2 - 736)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((736\|2 + 672)cosh(x) + (- 2592\|2 - 3296)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (476\|2 - 48)cosh(x) + (- 4680\|2 - 5216)cosh(x) + 2844\|2 +--R + +--R 3792 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (64\|2 - 960)cosh(x) + (- 3840\|2 - 2176)cosh(x) +--R + +--R +-+ +--R (9664\|2 + 12096)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 112\|2 - 1344)cosh(x) + (- 912\|2 + 3904)cosh(x) +--R + +--R +-+ 2 +-+ +--R (11440\|2 + 11328)cosh(x) - 5424\|2 - 7232 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (64\|2 - 960)cosh(x) + (576\|2 + 6848)cosh(x) +--R + +--R +-+ 3 +-+ +--R (4288\|2 - 2880)cosh(x) + (- 13632\|2 - 16832)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (476\|2 - 48)cosh(x) + (- 912\|2 + 3904)cosh(x) +--R + +--R +-+ 4 +-+ 2 +--R (- 664\|2 - 11808)cosh(x) + (- 8976\|2 - 6848)cosh(x) +--R + +--R +-+ +--R 2844\|2 + 3792 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (736\|2 + 672)cosh(x) + (- 3840\|2 - 2176)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (4288\|2 - 2880)cosh(x) + (- 1536\|2 + 5504)cosh(x) +--R + +--R +-+ +--R (5984\|2 + 7584)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (568\|2 + 672)cosh(x) + (- 4680\|2 - 5216)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (11440\|2 + 11328)cosh(x) + (- 8976\|2 - 6848)cosh(x) +--R + +--R +-+ 2 +-+ +--R (6552\|2 + 7968)cosh(x) - 552\|2 - 736 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (224\|2 + 288)cosh(x) + (- 2592\|2 - 3296)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (9664\|2 + 12096)cosh(x) + (- 13632\|2 - 16832)cosh(x) +--R + +--R +-+ 3 +-+ +--R (5984\|2 + 7584)cosh(x) + (- 672\|2 - 864)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (36\|2 + 48)cosh(x) + (- 552\|2 - 736)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (2844\|2 + 3792)cosh(x) + (- 5424\|2 - 7232)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (2844\|2 + 3792)cosh(x) + (- 552\|2 - 736)cosh(x) + 36\|2 + 48 +--R * +--R 4 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (- 36\|2 - 48)sinh(x) + (- 224\|2 - 288)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((- 568\|2 - 672)cosh(x) + 552\|2 + 736)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((- 736\|2 - 672)cosh(x) + (2592\|2 + 3296)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 476\|2 + 48)cosh(x) + (4680\|2 + 5216)cosh(x) - 2844\|2 +--R + +--R - 3792 +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 64\|2 + 960)cosh(x) + (3840\|2 + 2176)cosh(x) +--R + +--R +-+ +--R (- 9664\|2 - 12096)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (112\|2 + 1344)cosh(x) + (912\|2 - 3904)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 11440\|2 - 11328)cosh(x) + 5424\|2 + 7232 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 64\|2 + 960)cosh(x) + (- 576\|2 - 6848)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 4288\|2 + 2880)cosh(x) + (13632\|2 + 16832)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 476\|2 + 48)cosh(x) + (912\|2 - 3904)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (664\|2 + 11808)cosh(x) + (8976\|2 + 6848)cosh(x) - 2844\|2 +--R + +--R - 3792 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (- 736\|2 - 672)cosh(x) + (3840\|2 + 2176)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (- 4288\|2 + 2880)cosh(x) + (1536\|2 - 5504)cosh(x) +--R + +--R +-+ +--R (- 5984\|2 - 7584)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (- 568\|2 - 672)cosh(x) + (4680\|2 + 5216)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 11440\|2 - 11328)cosh(x) + (8976\|2 + 6848)cosh(x) +--R + +--R +-+ 2 +-+ +--R (- 6552\|2 - 7968)cosh(x) + 552\|2 + 736 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (- 224\|2 - 288)cosh(x) + (2592\|2 + 3296)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (- 9664\|2 - 12096)cosh(x) + (13632\|2 + 16832)cosh(x) +--R + +--R +-+ 3 +-+ +--R (- 5984\|2 - 7584)cosh(x) + (672\|2 + 864)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (- 36\|2 - 48)cosh(x) + (552\|2 + 736)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (- 2844\|2 - 3792)cosh(x) + (5424\|2 + 7232)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 2844\|2 - 3792)cosh(x) + (552\|2 + 736)cosh(x) - 36\|2 - 48 +--R * +--R 2 +--R tanh(x) +--R + +--R +-+ 12 +-+ 11 +--R (9\|2 + 12)sinh(x) + (56\|2 + 72)cosh(x)sinh(x) +--R + +--R +-+ 2 +-+ 10 +--R ((142\|2 + 168)cosh(x) - 138\|2 - 184)sinh(x) +--R + +--R +-+ 3 +-+ 9 +--R ((184\|2 + 168)cosh(x) + (- 648\|2 - 824)cosh(x))sinh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R ((119\|2 - 12)cosh(x) + (- 1170\|2 - 1304)cosh(x) + 711\|2 + 948) +--R * +--R 8 +--R sinh(x) +--R + +--R +-+ 5 +-+ 3 +--R (16\|2 - 240)cosh(x) + (- 960\|2 - 544)cosh(x) +--R + +--R +-+ +--R (2416\|2 + 3024)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R +-+ 6 +-+ 4 +--R (- 28\|2 - 336)cosh(x) + (- 228\|2 + 976)cosh(x) +--R + +--R +-+ 2 +-+ +--R (2860\|2 + 2832)cosh(x) - 1356\|2 - 1808 +--R * +--R 6 +--R sinh(x) +--R + +--R +-+ 7 +-+ 5 +--R (16\|2 - 240)cosh(x) + (144\|2 + 1712)cosh(x) +--R + +--R +-+ 3 +-+ +--R (1072\|2 - 720)cosh(x) + (- 3408\|2 - 4208)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R +-+ 8 +-+ 6 +--R (119\|2 - 12)cosh(x) + (- 228\|2 + 976)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (- 166\|2 - 2952)cosh(x) + (- 2244\|2 - 1712)cosh(x) + 711\|2 +--R + +--R 948 +--R * +--R 4 +--R sinh(x) +--R + +--R +-+ 9 +-+ 7 +--R (184\|2 + 168)cosh(x) + (- 960\|2 - 544)cosh(x) +--R + +--R +-+ 5 +-+ 3 +--R (1072\|2 - 720)cosh(x) + (- 384\|2 + 1376)cosh(x) +--R + +--R +-+ +--R (1496\|2 + 1896)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R +-+ 10 +-+ 8 +--R (142\|2 + 168)cosh(x) + (- 1170\|2 - 1304)cosh(x) +--R + +--R +-+ 6 +-+ 4 +--R (2860\|2 + 2832)cosh(x) + (- 2244\|2 - 1712)cosh(x) +--R + +--R +-+ 2 +-+ +--R (1638\|2 + 1992)cosh(x) - 138\|2 - 184 +--R * +--R 2 +--R sinh(x) +--R + +--R +-+ 11 +-+ 9 +--R (56\|2 + 72)cosh(x) + (- 648\|2 - 824)cosh(x) +--R + +--R +-+ 7 +-+ 5 +--R (2416\|2 + 3024)cosh(x) + (- 3408\|2 - 4208)cosh(x) +--R + +--R +-+ 3 +-+ +--R (1496\|2 + 1896)cosh(x) + (- 168\|2 - 216)cosh(x) +--R * +--R sinh(x) +--R + +--R +-+ 12 +-+ 10 +--R (9\|2 + 12)cosh(x) + (- 138\|2 - 184)cosh(x) +--R + +--R +-+ 8 +-+ 6 +--R (711\|2 + 948)cosh(x) + (- 1356\|2 - 1808)cosh(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R (711\|2 + 948)cosh(x) + (- 138\|2 - 184)cosh(x) + 9\|2 + 12 +--R Type: Expression Integer +--E 381 + +--S 382 of 552 +t0771:= sinh(x)^2/(a+b*cosh(x)^2) +--R +--R +--R 2 +--R sinh(x) +--R (374) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 382 + +--S 383 of 552 +r0771:= x/b-(a+b)^(1/2)*atanh(a^(1/2)*tanh(x)/(a+b)^(1/2))/a^(1/2)/b +--R +--R +--R +-+ +--R +-----+ tanh(x)\|a +-+ +--R - \|b + a atanh(-----------) + x\|a +--R +-----+ +--R \|b + a +--R (375) ------------------------------------ +--R +-+ +--R b\|a +--R Type: Expression Integer +--E 383 + +--S 384 of 552 +a0771:= integrate(t0771,x) +--R +--R +--R (376) +--R [ +--R +-----+ +--R |b + a +--R |----- +--R \| a +--R * +--R log +--R 2 2 +--R 4a b sinh(x) + 8a b cosh(x)sinh(x) + 4a b cosh(x) + 4a b +--R + +--R 2 +--R 8a +--R * +--R +-----+ +--R |b + a +--R |----- +--R \| a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2x +--R / +--R 2b +--R , +--R +-------+ +--R |- b - a +--R +-------+ 2a |------- +--R |- b - a \| a +--R - |------- atan(----------------------------------------------------) + x +--R \| a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R --------------------------------------------------------------------------] +--R b +--R Type: Union(List Expression Integer,...) +--E 384 + +--S 385 of 552 +m0771a:= a0771.1-r0771 +--R +--R +--R (377) +--R +-----+ +--R +-+ |b + a +--R \|a |----- +--R \| a +--R * +--R log +--R 2 2 +--R 4a b sinh(x) + 8a b cosh(x)sinh(x) + 4a b cosh(x) + 4a b +--R + +--R 2 +--R 8a +--R * +--R +-----+ +--R |b + a +--R |----- +--R \| a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R +-+ +--R +-----+ tanh(x)\|a +--R 2\|b + a atanh(-----------) +--R +-----+ +--R \|b + a +--R / +--R +-+ +--R 2b\|a +--R Type: Expression Integer +--E 385 + +--S 386 of 552 +d0771a:= D(m0771a,x) +--R +--R +--R (378) +--R 4 3 +--R (b + a)sinh(x) + (4b + 4a)cosh(x)sinh(x) +--R + +--R 2 2 +--R ((6b + 6a)cosh(x) + 2b + 2a)sinh(x) +--R + +--R 3 4 +--R ((4b + 4a)cosh(x) + (4b + 4a)cosh(x))sinh(x) + (b + a)cosh(x) +--R + +--R 2 +--R (2b + 2a)cosh(x) + b + a +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 +--R (- b - a)sinh(x) + (- 4b - 4a)cosh(x)sinh(x) +--R + +--R 2 2 +--R ((- 6b - 6a)cosh(x) + 2b + 2a)sinh(x) +--R + +--R 3 4 +--R ((- 4b - 4a)cosh(x) + (4b + 4a)cosh(x))sinh(x) + (- b - a)cosh(x) +--R + +--R 2 +--R (2b + 2a)cosh(x) - b - a +--R / +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) + 2a b + 4a )sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (4a b + 8a )cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (2a b + 4a )cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 2 3 +--R (- b - a b)sinh(x) + (- 4b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 6a b)cosh(x) - 2b - 6a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((- 4b - 4a b)cosh(x) + (- 4b - 12a b - 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- b - a b)cosh(x) + (- 2b - 6a b - 4a )cosh(x) - b - a b +--R Type: Expression Integer +--E 386 + +--S 387 of 552 +m0771b:= a0771.2-r0771 +--R +--R +--R (379) +--R +-+ +--R +-----+ tanh(x)\|a +--R \|b + a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R +-------+ +--R |- b - a +--R +-------+ 2a |------- +--R |- b - a +-+ \| a +--R - |------- \|a atan(----------------------------------------------------) +--R \| a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R / +--R +-+ +--R b\|a +--R Type: Expression Integer +--E 387 + +--S 388 of 552 +d0771b:= D(m0771b,x) +--R +--R +--R (380) +--R 4 3 +--R (b + a)sinh(x) + (4b + 4a)cosh(x)sinh(x) +--R + +--R 2 2 +--R ((6b + 6a)cosh(x) + 2b + 2a)sinh(x) +--R + +--R 3 4 +--R ((4b + 4a)cosh(x) + (4b + 4a)cosh(x))sinh(x) + (b + a)cosh(x) +--R + +--R 2 +--R (2b + 2a)cosh(x) + b + a +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 +--R (- b - a)sinh(x) + (- 4b - 4a)cosh(x)sinh(x) +--R + +--R 2 2 +--R ((- 6b - 6a)cosh(x) + 2b + 2a)sinh(x) +--R + +--R 3 4 +--R ((- 4b - 4a)cosh(x) + (4b + 4a)cosh(x))sinh(x) + (- b - a)cosh(x) +--R + +--R 2 +--R (2b + 2a)cosh(x) - b - a +--R / +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) + 2a b + 4a )sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (4a b + 8a )cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (2a b + 4a )cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 2 3 +--R (- b - a b)sinh(x) + (- 4b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 6a b)cosh(x) - 2b - 6a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((- 4b - 4a b)cosh(x) + (- 4b - 12a b - 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- b - a b)cosh(x) + (- 2b - 6a b - 4a )cosh(x) - b - a b +--R Type: Expression Integer +--E 388 + +--S 389 of 552 +t0772:= sinh(x)^3/(a+b*cosh(x)^2) +--R +--R +--R 3 +--R sinh(x) +--R (381) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 389 + +--S 390 of 552 +r0772:= -(a+b)*atan(b^(1/2)*cosh(x)/a^(1/2))/a^(1/2)/b^(3/2)+cosh(x)/b +--R +--R +--R +-+ +--R cosh(x)\|b +-+ +-+ +--R (- b - a)atan(-----------) + cosh(x)\|a \|b +--R +-+ +--R \|a +--R (382) -------------------------------------------- +--R +-+ +-+ +--R b\|a \|b +--R Type: Expression Integer +--E 390 + +--S 391 of 552 +a0772:= integrate(t0772,x) +--R +--R +--R (383) +--R [ +--R ((b + a)sinh(x) + (b + a)cosh(x)) +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b - 4a)cosh(x) + b +--R * +--R +-----+ +--R \|- a b +--R + +--R 3 2 +--R - 4a b sinh(x) - 12a b cosh(x)sinh(x) +--R + +--R 2 3 +--R (- 12a b cosh(x) - 4a b)sinh(x) - 4a b cosh(x) - 4a b cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2 2 +-----+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|- a b +--R / +--R +-----+ +--R (2b sinh(x) + 2b cosh(x))\|- a b +--R , +--R +--R ((- 2b - 2a)sinh(x) + (- 2b - 2a)cosh(x)) +--R * +--R +---+ +--R (sinh(x) + cosh(x))\|a b +--R atan(-------------------------) +--R 2a +--R + +--R ((2b + 2a)sinh(x) + (2b + 2a)cosh(x)) +--R * +--R atan +--R 3 2 +--R b sinh(x) + 3b cosh(x)sinh(x) +--R + +--R 2 3 +--R (3b cosh(x) + b + 4a)sinh(x) + b cosh(x) + (b + 4a)cosh(x) +--R / +--R +---+ +--R 2\|a b +--R + +--R 2 2 +---+ +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) + 1)\|a b +--R / +--R +---+ +--R (2b sinh(x) + 2b cosh(x))\|a b +--R ] +--R Type: Union(List Expression Integer,...) +--E 391 + +--S 392 of 552 +m0772a:= a0772.1-r0772 +--R +--R +--R (384) +--R +-+ +-+ +--R ((b + a)sinh(x) + (b + a)cosh(x))\|a \|b +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b - 4a)cosh(x) + b +--R * +--R +-----+ +--R \|- a b +--R + +--R 3 2 +--R - 4a b sinh(x) - 12a b cosh(x)sinh(x) +--R + +--R 2 3 +--R (- 12a b cosh(x) - 4a b)sinh(x) - 4a b cosh(x) - 4a b cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R +-+ +--R +-----+ cosh(x)\|b +--R ((2b + 2a)sinh(x) + (2b + 2a)cosh(x))\|- a b atan(-----------) +--R +-+ +--R \|a +--R + +--R 2 2 +-----+ +-+ +-+ +--R (sinh(x) - cosh(x) + 1)\|- a b \|a \|b +--R / +--R +-----+ +-+ +-+ +--R (2b sinh(x) + 2b cosh(x))\|- a b \|a \|b +--R Type: Expression Integer +--E 392 + +--S 393 of 552 +d0772a:= D(m0772a,x) +--R +--R +--R (385) +--R 2 6 +--R (- b cosh(x) + 2b + a)sinh(x) +--R + +--R 3 5 +--R (- 4b cosh(x) + (10b + 6a)cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 5b cosh(x) + (13b + 7a)cosh(x) + 4b + 5a)sinh(x) +--R + +--R 3 3 +--R ((- 4b - 4a)cosh(x) + (12b + 12a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (5b cosh(x) + (- 20b - 9a)cosh(x) + (13b + 6a)cosh(x) + 2b + 3a) +--R * +--R 2 +--R sinh(x) +--R + +--R 7 5 3 +--R 4b cosh(x) + (- 14b - 2a)cosh(x) + (8b - 4a)cosh(x) +--R + +--R (2b + 6a)cosh(x) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R b cosh(x) + (- 3b + a)cosh(x) + (3b - 3a)cosh(x) + (- b + 3a)cosh(x) +--R + +--R - a +--R / +--R 2 2 5 2 3 4 +--R (2b cosh(x) + 2a b)sinh(x) + (10b cosh(x) + 10a b cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 3 +--R (20b cosh(x) + (4b + 28a b)cosh(x) + 4a b + 8a )sinh(x) +--R + +--R 2 5 2 3 2 2 +--R (20b cosh(x) + (12b + 44a b)cosh(x) + (12a b + 24a )cosh(x))sinh(x) +--R + +--R 2 6 2 4 2 2 2 +--R 10b cosh(x) + (12b + 34a b)cosh(x) + (2b + 12a b + 24a )cosh(x) +--R + +--R 2a b +--R * +--R sinh(x) +--R + +--R 2 7 2 5 2 2 3 +--R 2b cosh(x) + (4b + 10a b)cosh(x) + (2b + 4a b + 8a )cosh(x) +--R + +--R 2a b cosh(x) +--R Type: Expression Integer +--E 393 + +--S 394 of 552 +m0772b:= a0772.2-r0772 +--R +--R +--R (386) +--R +-+ +-+ +--R ((- 2b - 2a)sinh(x) + (- 2b - 2a)cosh(x))\|a \|b +--R * +--R +---+ +--R (sinh(x) + cosh(x))\|a b +--R atan(-------------------------) +--R 2a +--R + +--R +-+ +--R +---+ cosh(x)\|b +--R ((2b + 2a)sinh(x) + (2b + 2a)cosh(x))\|a b atan(-----------) +--R +-+ +--R \|a +--R + +--R +-+ +-+ +--R ((2b + 2a)sinh(x) + (2b + 2a)cosh(x))\|a \|b +--R * +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) + b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (b + 4a)cosh(x) +--R / +--R +---+ +--R 2\|a b +--R + +--R 2 2 +-+ +-+ +---+ +--R (sinh(x) - cosh(x) + 1)\|a \|b \|a b +--R / +--R +-+ +-+ +---+ +--R (2b sinh(x) + 2b cosh(x))\|a \|b \|a b +--R Type: Expression Integer +--E 394 + +--S 395 of 552 +d0772b:= D(m0772b,x) +--R +--R +--R (387) +--R 2 6 +--R (- b cosh(x) + 2b + a)sinh(x) +--R + +--R 3 5 +--R (- 4b cosh(x) + (10b + 6a)cosh(x))sinh(x) +--R + +--R 4 2 4 +--R (- 5b cosh(x) + (13b + 7a)cosh(x) + 4b + 5a)sinh(x) +--R + +--R 3 3 +--R ((- 4b - 4a)cosh(x) + (12b + 12a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (5b cosh(x) + (- 20b - 9a)cosh(x) + (13b + 6a)cosh(x) + 2b + 3a) +--R * +--R 2 +--R sinh(x) +--R + +--R 7 5 3 +--R 4b cosh(x) + (- 14b - 2a)cosh(x) + (8b - 4a)cosh(x) +--R + +--R (2b + 6a)cosh(x) +--R * +--R sinh(x) +--R + +--R 8 6 4 2 +--R b cosh(x) + (- 3b + a)cosh(x) + (3b - 3a)cosh(x) + (- b + 3a)cosh(x) +--R + +--R - a +--R / +--R 2 2 5 2 3 4 +--R (2b cosh(x) + 2a b)sinh(x) + (10b cosh(x) + 10a b cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 3 +--R (20b cosh(x) + (4b + 28a b)cosh(x) + 4a b + 8a )sinh(x) +--R + +--R 2 5 2 3 2 2 +--R (20b cosh(x) + (12b + 44a b)cosh(x) + (12a b + 24a )cosh(x))sinh(x) +--R + +--R 2 6 2 4 2 2 2 +--R 10b cosh(x) + (12b + 34a b)cosh(x) + (2b + 12a b + 24a )cosh(x) +--R + +--R 2a b +--R * +--R sinh(x) +--R + +--R 2 7 2 5 2 2 3 +--R 2b cosh(x) + (4b + 10a b)cosh(x) + (2b + 4a b + 8a )cosh(x) +--R + +--R 2a b cosh(x) +--R Type: Expression Integer +--E 395 + +--S 396 of 552 +t0773:= sinh(x)^4/(a+b*cosh(x)^2) +--R +--R +--R 4 +--R sinh(x) +--R (388) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 396 + +--S 397 of 552 +r0773:= -a*x/b^2-3/2*x/b+(a+b)^(3/2)*atanh(a^(1/2)*tanh(x)/_ + (a+b)^(1/2))/a^(1/2)/b^2+1/2*cosh(x)*sinh(x)/b +--R +--R +--R (389) +--R +-+ +--R +-----+ tanh(x)\|a +-+ +--R (2b + 2a)\|b + a atanh(-----------) + (b cosh(x)sinh(x) + (- 3b - 2a)x)\|a +--R +-----+ +--R \|b + a +--R --------------------------------------------------------------------------- +--R 2 +-+ +--R 2b \|a +--R Type: Expression Integer +--E 397 + +--S 398 of 552 +a0773:= integrate(t0773,x) +--R +--R +--R (390) +--R [ +--R 2 2 +--R ((4b + 4a)sinh(x) + (8b + 8a)cosh(x)sinh(x) + (4b + 4a)cosh(x) ) +--R * +--R +-----+ +--R |b + a +--R |----- +--R \| a +--R * +--R log +--R 2 2 +--R - 4a b sinh(x) - 8a b cosh(x)sinh(x) - 4a b cosh(x) +--R + +--R 2 +--R - 4a b - 8a +--R * +--R +-----+ +--R |b + a +--R |----- +--R \| a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + (- 12b - 8a)x)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 24b - 16a)x cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 12b - 8a)x cosh(x) - b +--R / +--R 2 2 2 2 2 +--R 8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) +--R , +--R +--R 2 2 +--R ((8b + 8a)sinh(x) + (16b + 16a)cosh(x)sinh(x) + (8b + 8a)cosh(x) ) +--R * +--R +-------+ +--R |- b - a +--R +-------+ 2a |------- +--R |- b - a \| a +--R |------- atan(----------------------------------------------------) +--R \| a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + (- 12b - 8a)x)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 24b - 16a)x cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 12b - 8a)x cosh(x) - b +--R / +--R 2 2 2 2 2 +--R 8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) +--R ] +--R Type: Union(List Expression Integer,...) +--E 398 + +--S 399 of 552 +m0773a:= a0773.1-r0773 +--R +--R +--R (391) +--R 2 2 +-+ +--R ((4b + 4a)sinh(x) + (8b + 8a)cosh(x)sinh(x) + (4b + 4a)cosh(x) )\|a +--R * +--R +-----+ +--R |b + a +--R |----- +--R \| a +--R * +--R log +--R 2 2 +--R - 4a b sinh(x) - 8a b cosh(x)sinh(x) - 4a b cosh(x) - 4a b +--R + +--R 2 +--R - 8a +--R * +--R +-----+ +--R |b + a +--R |----- +--R \| a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2 +--R (- 8b - 8a)sinh(x) + (- 16b - 16a)cosh(x)sinh(x) +--R + +--R 2 +--R (- 8b - 8a)cosh(x) +--R * +--R +-+ +--R +-----+ tanh(x)\|a +--R \|b + a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 4 2 2 4 +-+ +--R (b sinh(x) - 2b cosh(x) sinh(x) + b cosh(x) - b)\|a +--R / +--R 2 2 2 2 2 +-+ +--R (8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) )\|a +--R Type: Expression Integer +--E 399 + +--S 400 of 552 +d0773a:= D(m0773a,x) +--R +--R +--R (392) +--R 8 7 +--R - a b sinh(x) - 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (- 4a b cosh(x) - 4b - 10a b - 8a )sinh(x) +--R + +--R 3 2 2 5 +--R (4a b cosh(x) + (- 24b - 52a b - 32a )cosh(x))sinh(x) +--R + +--R 4 2 2 2 2 +--R 10a b cosh(x) + (- 60b - 118a b - 56a )cosh(x) - 8b - 16a b +--R + +--R 2 +--R - 8a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 2 3 +--R 4a b cosh(x) + (- 80b - 152a b - 64a )cosh(x) +--R + +--R 2 2 +--R (- 32b - 60a b - 32a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 2 4 +--R - 4a b cosh(x) + (- 60b - 118a b - 56a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 48b - 88a b - 48a )cosh(x) - 4b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 2 5 +--R - 4a b cosh(x) + (- 24b - 52a b - 32a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 32b - 60a b - 32a )cosh(x) + (- 8b - 12a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 8 2 2 6 +--R - a b cosh(x) + (- 4b - 10a b - 8a )cosh(x) +--R + +--R 2 2 4 2 2 +--R (- 8b - 16a b - 8a )cosh(x) + (- 4b - 6a b)cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 8 2 7 +--R (b + a b)sinh(x) + (4b + 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((4b + 4a b)cosh(x) + 6b + 14a b + 8a )sinh(x) +--R + +--R 2 3 2 2 5 +--R ((- 4b - 4a b)cosh(x) + (28b + 60a b + 32a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- 10b - 10a b)cosh(x) + (58b + 114a b + 56a )cosh(x) - 8b +--R + +--R 2 +--R - 16a b - 8a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (- 4b - 4a b)cosh(x) + (72b + 136a b + 64a )cosh(x) +--R + +--R 2 2 +--R (- 36b - 68a b - 32a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (4b + 4a b)cosh(x) + (58b + 114a b + 56a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 56b - 104a b - 48a )cosh(x) + 2b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R (4b + 4a b)cosh(x) + (28b + 60a b + 32a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 36b - 68a b - 32a )cosh(x) + (4b + 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R (b + a b)cosh(x) + (6b + 14a b + 8a )cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (- 8b - 16a b - 8a )cosh(x) + (2b + 2a b)cosh(x) - b - a b +--R / +--R 2 6 2 5 +--R 4a b sinh(x) + 24a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R (60a b cosh(x) + 8a b + 16a b)sinh(x) +--R + +--R 2 3 2 2 3 +--R (80a b cosh(x) + (32a b + 64a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 2 +--R (60a b cosh(x) + (48a b + 96a b)cosh(x) + 4a b )sinh(x) +--R + +--R 2 5 2 2 3 2 +--R (24a b cosh(x) + (32a b + 64a b)cosh(x) + 8a b cosh(x))sinh(x) +--R + +--R 2 6 2 2 4 2 2 +--R 4a b cosh(x) + (8a b + 16a b)cosh(x) + 4a b cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 6 3 2 5 +--R (- 4b - 4a b )sinh(x) + (- 24b - 24a b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 4 +--R ((- 60b - 60a b )cosh(x) - 8b - 24a b - 16a b)sinh(x) +--R + +--R 3 2 3 3 2 2 3 +--R ((- 80b - 80a b )cosh(x) + (- 32b - 96a b - 64a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 2 3 +--R (- 60b - 60a b )cosh(x) + (- 48b - 144a b - 96a b)cosh(x) - 4b +--R + +--R 2 +--R - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (- 24b - 24a b )cosh(x) + (- 32b - 96a b - 64a b)cosh(x) +--R + +--R 3 2 +--R (- 8b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (- 4b - 4a b )cosh(x) + (- 8b - 24a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (- 4b - 4a b )cosh(x) +--R Type: Expression Integer +--E 400 + +--S 401 of 552 +m0773b:= a0773.2-r0773 +--R +--R +--R (393) +--R 2 +--R (- 8b - 8a)sinh(x) + (- 16b - 16a)cosh(x)sinh(x) +--R + +--R 2 +--R (- 8b - 8a)cosh(x) +--R * +--R +-+ +--R +-----+ tanh(x)\|a +--R \|b + a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 2 +--R ((8b + 8a)sinh(x) + (16b + 16a)cosh(x)sinh(x) + (8b + 8a)cosh(x) ) +--R * +--R +-------+ +--R |- b - a +--R +-------+ 2a |------- +--R |- b - a +-+ \| a +--R |------- \|a atan(----------------------------------------------------) +--R \| a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R 4 2 2 4 +-+ +--R (b sinh(x) - 2b cosh(x) sinh(x) + b cosh(x) - b)\|a +--R / +--R 2 2 2 2 2 +-+ +--R (8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) )\|a +--R Type: Expression Integer +--E 401 + +--S 402 of 552 +d0773b:= D(m0773b,x) +--R +--R +--R (394) +--R 8 7 +--R - a b sinh(x) - 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (- 4a b cosh(x) - 4b - 10a b - 8a )sinh(x) +--R + +--R 3 2 2 5 +--R (4a b cosh(x) + (- 24b - 52a b - 32a )cosh(x))sinh(x) +--R + +--R 4 2 2 2 2 +--R 10a b cosh(x) + (- 60b - 118a b - 56a )cosh(x) - 8b - 16a b +--R + +--R 2 +--R - 8a +--R * +--R 4 +--R sinh(x) +--R + +--R 5 2 2 3 +--R 4a b cosh(x) + (- 80b - 152a b - 64a )cosh(x) +--R + +--R 2 2 +--R (- 32b - 60a b - 32a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 2 4 +--R - 4a b cosh(x) + (- 60b - 118a b - 56a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 48b - 88a b - 48a )cosh(x) - 4b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 2 5 +--R - 4a b cosh(x) + (- 24b - 52a b - 32a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 32b - 60a b - 32a )cosh(x) + (- 8b - 12a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 8 2 2 6 +--R - a b cosh(x) + (- 4b - 10a b - 8a )cosh(x) +--R + +--R 2 2 4 2 2 +--R (- 8b - 16a b - 8a )cosh(x) + (- 4b - 6a b)cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 8 2 7 +--R (b + a b)sinh(x) + (4b + 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((4b + 4a b)cosh(x) + 6b + 14a b + 8a )sinh(x) +--R + +--R 2 3 2 2 5 +--R ((- 4b - 4a b)cosh(x) + (28b + 60a b + 32a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- 10b - 10a b)cosh(x) + (58b + 114a b + 56a )cosh(x) - 8b +--R + +--R 2 +--R - 16a b - 8a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R (- 4b - 4a b)cosh(x) + (72b + 136a b + 64a )cosh(x) +--R + +--R 2 2 +--R (- 36b - 68a b - 32a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (4b + 4a b)cosh(x) + (58b + 114a b + 56a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 56b - 104a b - 48a )cosh(x) + 2b + 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R (4b + 4a b)cosh(x) + (28b + 60a b + 32a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 36b - 68a b - 32a )cosh(x) + (4b + 4a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R (b + a b)cosh(x) + (6b + 14a b + 8a )cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (- 8b - 16a b - 8a )cosh(x) + (2b + 2a b)cosh(x) - b - a b +--R / +--R 2 6 2 5 +--R 4a b sinh(x) + 24a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R (60a b cosh(x) + 8a b + 16a b)sinh(x) +--R + +--R 2 3 2 2 3 +--R (80a b cosh(x) + (32a b + 64a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 2 +--R (60a b cosh(x) + (48a b + 96a b)cosh(x) + 4a b )sinh(x) +--R + +--R 2 5 2 2 3 2 +--R (24a b cosh(x) + (32a b + 64a b)cosh(x) + 8a b cosh(x))sinh(x) +--R + +--R 2 6 2 2 4 2 2 +--R 4a b cosh(x) + (8a b + 16a b)cosh(x) + 4a b cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 6 3 2 5 +--R (- 4b - 4a b )sinh(x) + (- 24b - 24a b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 4 +--R ((- 60b - 60a b )cosh(x) - 8b - 24a b - 16a b)sinh(x) +--R + +--R 3 2 3 3 2 2 3 +--R ((- 80b - 80a b )cosh(x) + (- 32b - 96a b - 64a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 2 3 +--R (- 60b - 60a b )cosh(x) + (- 48b - 144a b - 96a b)cosh(x) - 4b +--R + +--R 2 +--R - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (- 24b - 24a b )cosh(x) + (- 32b - 96a b - 64a b)cosh(x) +--R + +--R 3 2 +--R (- 8b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (- 4b - 4a b )cosh(x) + (- 8b - 24a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (- 4b - 4a b )cosh(x) +--R Type: Expression Integer +--E 402 + +--S 403 of 552 +t0774:= sinh(x)^5/(a+b*cosh(x)^2) +--R +--R +--R 5 +--R sinh(x) +--R (395) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 403 + +--S 404 of 552 +r0774:= (a+b)^2*atan(b^(1/2)*cosh(x)/a^(1/2))/a^(1/2)/b^(5/2)-_ + a*cosh(x)/b^2-2*cosh(x)/b+1/3*cosh(x)^3/b +--R +--R +--R (396) +--R +-+ +--R 2 2 cosh(x)\|b +--R (3b + 6a b + 3a )atan(-----------) +--R +-+ +--R \|a +--R + +--R 3 +-+ +-+ +--R (b cosh(x) + (- 6b - 3a)cosh(x))\|a \|b +--R / +--R 2 +-+ +-+ +--R 3b \|a \|b +--R Type: Expression Integer +--E 404 + +--S 405 of 552 +a0774:= integrate(t0774,x) +--R +--R +--R (397) +--R [ +--R 2 2 3 +--R (12b + 24a b + 12a )sinh(x) +--R + +--R 2 2 2 +--R (36b + 72a b + 36a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (36b + 72a b + 36a )cosh(x) sinh(x) + (12b + 24a b + 12a )cosh(x) +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b - 4a)cosh(x) + b +--R * +--R +-----+ +--R \|- a b +--R + +--R 3 2 +--R 4a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 3 +--R (12a b cosh(x) + 4a b)sinh(x) + 4a b cosh(x) + 4a b cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 6 5 +--R b sinh(x) + 6b cosh(x)sinh(x) +--R + +--R 2 4 +--R (15b cosh(x) - 21b - 12a)sinh(x) +--R + +--R 3 3 +--R (20b cosh(x) + (- 84b - 48a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (15b cosh(x) + (- 126b - 72a)cosh(x) - 21b - 12a)sinh(x) +--R + +--R 5 3 +--R (6b cosh(x) + (- 84b - 48a)cosh(x) + (- 42b - 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R b cosh(x) + (- 21b - 12a)cosh(x) + (- 21b - 12a)cosh(x) + b +--R * +--R +-----+ +--R \|- a b +--R / +--R 2 3 2 2 2 2 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) +--R + +--R 2 3 +--R 24b cosh(x) +--R * +--R +-----+ +--R \|- a b +--R , +--R +--R 2 2 3 +--R (24b + 48a b + 24a )sinh(x) +--R + +--R 2 2 2 +--R (72b + 144a b + 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (72b + 144a b + 72a )cosh(x) sinh(x) + (24b + 48a b + 24a )cosh(x) +--R * +--R +---+ +--R (sinh(x) + cosh(x))\|a b +--R atan(-------------------------) +--R 2a +--R + +--R 2 2 3 +--R (- 24b - 48a b - 24a )sinh(x) +--R + +--R 2 2 2 +--R (- 72b - 144a b - 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (- 72b - 144a b - 72a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (- 24b - 48a b - 24a )cosh(x) +--R * +--R atan +--R 3 2 +--R b sinh(x) + 3b cosh(x)sinh(x) +--R + +--R 2 3 +--R (3b cosh(x) + b + 4a)sinh(x) + b cosh(x) + (b + 4a)cosh(x) +--R / +--R +---+ +--R 2\|a b +--R + +--R 6 5 +--R b sinh(x) + 6b cosh(x)sinh(x) +--R + +--R 2 4 +--R (15b cosh(x) - 21b - 12a)sinh(x) +--R + +--R 3 3 +--R (20b cosh(x) + (- 84b - 48a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (15b cosh(x) + (- 126b - 72a)cosh(x) - 21b - 12a)sinh(x) +--R + +--R 5 3 +--R (6b cosh(x) + (- 84b - 48a)cosh(x) + (- 42b - 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R b cosh(x) + (- 21b - 12a)cosh(x) + (- 21b - 12a)cosh(x) + b +--R * +--R +---+ +--R \|a b +--R / +--R 2 3 2 2 2 2 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) +--R + +--R 2 3 +--R 24b cosh(x) +--R * +--R +---+ +--R \|a b +--R ] +--R Type: Union(List Expression Integer,...) +--E 405 + +--S 406 of 552 +m0774a:= a0774.1-r0774 +--R +--R +--R (398) +--R 2 2 3 2 2 2 +--R (12b + 24a b + 12a )sinh(x) + (36b + 72a b + 36a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (36b + 72a b + 36a )cosh(x) sinh(x) + (12b + 24a b + 12a )cosh(x) +--R * +--R +-+ +-+ +--R \|a \|b +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b - 4a)cosh(x) + b +--R * +--R +-----+ +--R \|- a b +--R + +--R 3 2 +--R 4a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 3 +--R (12a b cosh(x) + 4a b)sinh(x) + 4a b cosh(x) + 4a b cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2 2 3 +--R (- 24b - 48a b - 24a )sinh(x) +--R + +--R 2 2 2 +--R (- 72b - 144a b - 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (- 72b - 144a b - 72a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (- 24b - 48a b - 24a )cosh(x) +--R * +--R +-+ +--R +-----+ cosh(x)\|b +--R \|- a b atan(-----------) +--R +-+ +--R \|a +--R + +--R 6 5 2 4 +--R b sinh(x) + 6b cosh(x)sinh(x) + (15b cosh(x) - 21b - 12a)sinh(x) +--R + +--R 3 3 +--R (12b cosh(x) + (- 36b - 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (- 9b cosh(x) + 18b cosh(x) - 21b - 12a)sinh(x) +--R + +--R 5 3 +--R (- 18b cosh(x) + (60b + 24a)cosh(x) + (- 42b - 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R - 7b cosh(x) + (27b + 12a)cosh(x) + (- 21b - 12a)cosh(x) + b +--R * +--R +-----+ +-+ +-+ +--R \|- a b \|a \|b +--R / +--R 2 3 2 2 2 2 2 3 +--R (24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) ) +--R * +--R +-----+ +-+ +-+ +--R \|- a b \|a \|b +--R Type: Expression Integer +--E 406 + +--S 407 of 552 +d0774a:= D(m0774a,x) +--R +--R +--R (399) +--R 2 10 3 9 +--R (b cosh(x) + a)sinh(x) + (10b cosh(x) + 10a cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (37b cosh(x) + (11b + 45a)cosh(x) - 8b - 5a)sinh(x) +--R + +--R 5 3 7 +--R (64b cosh(x) + (72b + 120a)cosh(x) + (- 56b - 40a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R 42b cosh(x) + (180b + 178a)cosh(x) + (- 126b - 76a)cosh(x) - 16b +--R + +--R - 22a +--R * +--R 6 +--R sinh(x) +--R + +--R 7 5 3 +--R - 28b cosh(x) + (200b + 92a)cosh(x) + (- 60b + 40a)cosh(x) +--R + +--R (- 80b - 100a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 8 6 4 +--R - 70b cosh(x) + (50b - 110a)cosh(x) + (182b + 290a)cosh(x) +--R + +--R 2 +--R (- 154b - 170a)cosh(x) - 8b - 10a +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 +--R - 48b cosh(x) + (- 104b - 200a)cosh(x) + (328b + 360a)cosh(x) +--R + +--R 3 +--R (- 152b - 120a)cosh(x) + (- 24b - 40a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 +--R - 11b cosh(x) + (- 108b - 115a)cosh(x) + (230b + 180a)cosh(x) +--R + +--R 4 2 +--R (- 92b - 10a)cosh(x) + (- 19b - 60a)cosh(x) + 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 +--R 2b cosh(x) + (- 40b - 22a)cosh(x) + (76b + 24a)cosh(x) +--R + +--R 5 3 +--R (- 40b + 28a)cosh(x) + (2b - 40a)cosh(x) + 10a cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 +--R b cosh(x) + (- 5b + a)cosh(x) + (10b - 5a)cosh(x) +--R + +--R 6 4 2 +--R (- 10b + 10a)cosh(x) + (5b - 10a)cosh(x) + (- b + 5a)cosh(x) - a +--R / +--R 2 2 7 2 3 6 +--R (8b cosh(x) + 8a b)sinh(x) + (56b cosh(x) + 56a b cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 5 +--R (168b cosh(x) + (16b + 200a b)cosh(x) + 16a b + 32a )sinh(x) +--R + +--R 2 5 2 3 2 +--R (280b cosh(x) + (80b + 440a b)cosh(x) + (80a b + 160a )cosh(x)) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 280b cosh(x) + (160b + 600a b)cosh(x) +--R + +--R 2 2 2 +--R (8b + 160a b + 320a )cosh(x) + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 168b cosh(x) + (160b + 488a b)cosh(x) +--R + +--R 2 2 3 +--R (24b + 160a b + 320a )cosh(x) + 24a b cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 56b cosh(x) + (80b + 216a b)cosh(x) +--R + +--R 2 2 4 2 +--R (24b + 80a b + 160a )cosh(x) + 24a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 9 2 7 2 2 5 +--R 8b cosh(x) + (16b + 40a b)cosh(x) + (8b + 16a b + 32a )cosh(x) +--R + +--R 3 +--R 8a b cosh(x) +--R Type: Expression Integer +--E 407 + +--S 408 of 552 +m0774b:= a0774.2-r0774 +--R +--R +--R (400) +--R 2 2 3 2 2 2 +--R (24b + 48a b + 24a )sinh(x) + (72b + 144a b + 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 3 +--R (72b + 144a b + 72a )cosh(x) sinh(x) + (24b + 48a b + 24a )cosh(x) +--R * +--R +---+ +--R +-+ +-+ (sinh(x) + cosh(x))\|a b +--R \|a \|b atan(-------------------------) +--R 2a +--R + +--R 2 2 3 +--R (- 24b - 48a b - 24a )sinh(x) +--R + +--R 2 2 2 +--R (- 72b - 144a b - 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (- 72b - 144a b - 72a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (- 24b - 48a b - 24a )cosh(x) +--R * +--R +-+ +--R +---+ cosh(x)\|b +--R \|a b atan(-----------) +--R +-+ +--R \|a +--R + +--R 2 2 3 +--R (- 24b - 48a b - 24a )sinh(x) +--R + +--R 2 2 2 +--R (- 72b - 144a b - 72a )cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (- 72b - 144a b - 72a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (- 24b - 48a b - 24a )cosh(x) +--R * +--R +-+ +-+ +--R \|a \|b +--R * +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) + b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (b + 4a)cosh(x) +--R / +--R +---+ +--R 2\|a b +--R + +--R 6 5 2 4 +--R b sinh(x) + 6b cosh(x)sinh(x) + (15b cosh(x) - 21b - 12a)sinh(x) +--R + +--R 3 3 +--R (12b cosh(x) + (- 36b - 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (- 9b cosh(x) + 18b cosh(x) - 21b - 12a)sinh(x) +--R + +--R 5 3 +--R (- 18b cosh(x) + (60b + 24a)cosh(x) + (- 42b - 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R - 7b cosh(x) + (27b + 12a)cosh(x) + (- 21b - 12a)cosh(x) + b +--R * +--R +-+ +-+ +---+ +--R \|a \|b \|a b +--R / +--R 2 3 2 2 2 2 2 3 +--R (24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) ) +--R * +--R +-+ +-+ +---+ +--R \|a \|b \|a b +--R Type: Expression Integer +--E 408 + +--S 409 of 552 +d0774b:= D(m0774b,x) +--R +--R +--R (401) +--R 2 10 3 9 +--R (b cosh(x) + a)sinh(x) + (10b cosh(x) + 10a cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (37b cosh(x) + (11b + 45a)cosh(x) - 8b - 5a)sinh(x) +--R + +--R 5 3 7 +--R (64b cosh(x) + (72b + 120a)cosh(x) + (- 56b - 40a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R 42b cosh(x) + (180b + 178a)cosh(x) + (- 126b - 76a)cosh(x) - 16b +--R + +--R - 22a +--R * +--R 6 +--R sinh(x) +--R + +--R 7 5 3 +--R - 28b cosh(x) + (200b + 92a)cosh(x) + (- 60b + 40a)cosh(x) +--R + +--R (- 80b - 100a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 8 6 4 +--R - 70b cosh(x) + (50b - 110a)cosh(x) + (182b + 290a)cosh(x) +--R + +--R 2 +--R (- 154b - 170a)cosh(x) - 8b - 10a +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 +--R - 48b cosh(x) + (- 104b - 200a)cosh(x) + (328b + 360a)cosh(x) +--R + +--R 3 +--R (- 152b - 120a)cosh(x) + (- 24b - 40a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 +--R - 11b cosh(x) + (- 108b - 115a)cosh(x) + (230b + 180a)cosh(x) +--R + +--R 4 2 +--R (- 92b - 10a)cosh(x) + (- 19b - 60a)cosh(x) + 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 +--R 2b cosh(x) + (- 40b - 22a)cosh(x) + (76b + 24a)cosh(x) +--R + +--R 5 3 +--R (- 40b + 28a)cosh(x) + (2b - 40a)cosh(x) + 10a cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 +--R b cosh(x) + (- 5b + a)cosh(x) + (10b - 5a)cosh(x) +--R + +--R 6 4 2 +--R (- 10b + 10a)cosh(x) + (5b - 10a)cosh(x) + (- b + 5a)cosh(x) - a +--R / +--R 2 2 7 2 3 6 +--R (8b cosh(x) + 8a b)sinh(x) + (56b cosh(x) + 56a b cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 5 +--R (168b cosh(x) + (16b + 200a b)cosh(x) + 16a b + 32a )sinh(x) +--R + +--R 2 5 2 3 2 +--R (280b cosh(x) + (80b + 440a b)cosh(x) + (80a b + 160a )cosh(x)) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 280b cosh(x) + (160b + 600a b)cosh(x) +--R + +--R 2 2 2 +--R (8b + 160a b + 320a )cosh(x) + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 168b cosh(x) + (160b + 488a b)cosh(x) +--R + +--R 2 2 3 +--R (24b + 160a b + 320a )cosh(x) + 24a b cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 56b cosh(x) + (80b + 216a b)cosh(x) +--R + +--R 2 2 4 2 +--R (24b + 80a b + 160a )cosh(x) + 24a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 9 2 7 2 2 5 +--R 8b cosh(x) + (16b + 40a b)cosh(x) + (8b + 16a b + 32a )cosh(x) +--R + +--R 3 +--R 8a b cosh(x) +--R Type: Expression Integer +--E 409 + +--S 410 of 552 +t0775:= sinh(x)^6/(a+b*cosh(x)^2) +--R +--R +--R 6 +--R sinh(x) +--R (402) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 410 + +--S 411 of 552 +r0775:= 1/2*a*x/b^2+7/8*x/b+(a+b)^2*x/b^3-(a+b)^(5/2)*_ + atanh(a^(1/2)*tanh(x)/(a+b)^(1/2))/a^(1/2)/b^3-_ + 1/2*a*cosh(x)*sinh(x)/b^2-7/8*cosh(x)*sinh(x)/b+_ + 1/4*cosh(x)*sinh(x)^3/b +--R +--R +--R (403) +--R +-+ +--R 2 2 +-----+ tanh(x)\|a +--R (- 8b - 16a b - 8a )\|b + a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 3 2 +--R 2b cosh(x)sinh(x) + (- 7b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 +--R (15b + 20a b + 8a )x +--R * +--R +-+ +--R \|a +--R / +--R 3 +-+ +--R 8b \|a +--R Type: Expression Integer +--E 411 + +--S 412 of 552 +a0775:= integrate(t0775,x) +--R +--R +--R (404) +--R [ +--R 2 2 4 +--R (32b + 64a b + 32a )sinh(x) +--R + +--R 2 2 3 +--R (128b + 256a b + 128a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (192b + 384a b + 192a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (128b + 256a b + 128a )cosh(x) sinh(x) +--R + +--R 2 2 4 +--R (32b + 64a b + 32a )cosh(x) +--R * +--R +-----+ +--R |b + a +--R |----- +--R \| a +--R * +--R log +--R 2 2 +--R 4a b sinh(x) + 8a b cosh(x)sinh(x) + 4a b cosh(x) + 4a b +--R + +--R 2 +--R 8a +--R * +--R +-----+ +--R |b + a +--R |----- +--R \| a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2 8 2 7 2 2 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) - 16b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (56b cosh(x) + (- 96b - 48a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 +--R 70b cosh(x) + (- 240b - 120a b)cosh(x) +--R + +--R 2 2 +--R (120b + 160a b + 64a )x +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 56b cosh(x) + (- 320b - 160a b)cosh(x) +--R + +--R 2 2 +--R (480b + 640a b + 256a )x cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 28b cosh(x) + (- 240b - 120a b)cosh(x) +--R + +--R 2 2 2 2 +--R (720b + 960a b + 384a )x cosh(x) + 16b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 8b cosh(x) + (- 96b - 48a b)cosh(x) +--R + +--R 2 2 3 2 +--R (480b + 640a b + 256a )x cosh(x) + (32b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 +--R b cosh(x) + (- 16b - 8a b)cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (120b + 160a b + 64a )x cosh(x) + (16b + 8a b)cosh(x) - b +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R , +--R +--R 2 2 4 +--R (- 64b - 128a b - 64a )sinh(x) +--R + +--R 2 2 3 +--R (- 256b - 512a b - 256a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 384b - 768a b - 384a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (- 256b - 512a b - 256a )cosh(x) sinh(x) +--R + +--R 2 2 4 +--R (- 64b - 128a b - 64a )cosh(x) +--R * +--R +-------+ +--R |- b - a +--R +-------+ 2a |------- +--R |- b - a \| a +--R |------- atan(----------------------------------------------------) +--R \| a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R 2 8 2 7 2 2 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) - 16b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (56b cosh(x) + (- 96b - 48a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 +--R 70b cosh(x) + (- 240b - 120a b)cosh(x) +--R + +--R 2 2 +--R (120b + 160a b + 64a )x +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 56b cosh(x) + (- 320b - 160a b)cosh(x) +--R + +--R 2 2 +--R (480b + 640a b + 256a )x cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 28b cosh(x) + (- 240b - 120a b)cosh(x) +--R + +--R 2 2 2 2 +--R (720b + 960a b + 384a )x cosh(x) + 16b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 8b cosh(x) + (- 96b - 48a b)cosh(x) +--R + +--R 2 2 3 2 +--R (480b + 640a b + 256a )x cosh(x) + (32b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 +--R b cosh(x) + (- 16b - 8a b)cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (120b + 160a b + 64a )x cosh(x) + (16b + 8a b)cosh(x) - b +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R ] +--R Type: Union(List Expression Integer,...) +--E 412 + +--S 413 of 552 +m0775a:= a0775.1-r0775 +--R +--R +--R (405) +--R 2 2 4 +--R (32b + 64a b + 32a )sinh(x) +--R + +--R 2 2 3 +--R (128b + 256a b + 128a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (192b + 384a b + 192a )cosh(x) sinh(x) +--R + +--R 2 2 3 2 2 4 +--R (128b + 256a b + 128a )cosh(x) sinh(x) + (32b + 64a b + 32a )cosh(x) +--R * +--R +-----+ +--R +-+ |b + a +--R \|a |----- +--R \| a +--R * +--R log +--R 2 2 +--R 4a b sinh(x) + 8a b cosh(x)sinh(x) + 4a b cosh(x) + 4a b +--R + +--R 2 +--R 8a +--R * +--R +-----+ +--R |b + a +--R |----- +--R \| a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2 2 4 +--R (64b + 128a b + 64a )sinh(x) +--R + +--R 2 2 3 +--R (256b + 512a b + 256a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (384b + 768a b + 384a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (256b + 512a b + 256a )cosh(x) sinh(x) +--R + +--R 2 2 4 +--R (64b + 128a b + 64a )cosh(x) +--R * +--R +-+ +--R +-----+ tanh(x)\|a +--R \|b + a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 8 2 7 +--R b sinh(x) - 8b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (- 36b cosh(x) - 16b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (- 40b cosh(x) + (- 40b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 4 +--R (6b cosh(x) + (- 16b + 8a b)cosh(x) )sinh(x) +--R + +--R 2 5 2 3 3 +--R (40b cosh(x) + (16b + 32a b)cosh(x) )sinh(x) +--R + +--R 2 6 2 4 2 2 +--R (28b cosh(x) + (- 16b + 8a b)cosh(x) + 16b + 8a b)sinh(x) +--R + +--R 2 7 2 5 2 +--R (8b cosh(x) + (- 40b - 16a b)cosh(x) + (32b + 16a b)cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 2 +--R b cosh(x) + (- 16b - 8a b)cosh(x) + (16b + 8a b)cosh(x) - b +--R * +--R +-+ +--R \|a +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R * +--R +-+ +--R \|a +--R Type: Expression Integer +--E 413 + +--S 414 of 552 +d0775a:= D(m0775a,x) +--R +--R +--R (406) +--R 2 12 2 11 +--R - 3a b sinh(x) - 20a b cosh(x)sinh(x) +--R + +--R 2 2 2 10 +--R (- 58a b cosh(x) - 8a b)sinh(x) +--R + +--R 2 3 2 2 9 +--R (- 100a b cosh(x) + (4a b - 32a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 3 2 +--R - 121a b cosh(x) + (- 8a b - 56a b)cosh(x) + 16b + 57a b +--R + +--R 2 3 +--R 80a b + 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R - 104a b cosh(x) + (- 128a b - 96a b)cosh(x) +--R + +--R 3 2 2 3 +--R (128b + 416a b + 496a b + 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R - 28a b cosh(x) + (- 368a b - 176a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (448b + 1336a b + 1376a b + 512a )cosh(x) + 32b + 94a b +--R + +--R 2 3 +--R 96a b + 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R 88a b cosh(x) + (- 472a b - 160a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (896b + 2512a b + 2320a b + 832a )cosh(x) +--R + +--R 3 2 2 3 +--R (192b + 536a b + 560a b + 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R 155a b cosh(x) + (- 256a b + 48a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (1120b + 3074a b + 2720a b + 960a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (480b + 1298a b + 1376a b + 480a )cosh(x) + 16b + 33a b + 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 9 2 2 7 +--R 124a b cosh(x) + (32a b + 224a b)cosh(x) +--R + +--R 3 2 2 3 5 +--R (896b + 2528a b + 2320a b + 832a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (640b + 1712a b + 1824a b + 640a )cosh(x) +--R + +--R 3 2 2 +--R (64b + 132a b + 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 10 2 2 8 +--R 54a b cosh(x) + (112a b + 184a b)cosh(x) +--R + +--R 3 2 2 3 6 +--R (448b + 1360a b + 1376a b + 512a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (480b + 1298a b + 1376a b + 480a )cosh(x) +--R + +--R 3 2 2 2 2 +--R (96b + 198a b + 48a b)cosh(x) - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 11 2 2 9 +--R 12a b cosh(x) + (52a b + 64a b)cosh(x) +--R + +--R 3 2 2 3 7 +--R (128b + 432a b + 496a b + 192a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (192b + 536a b + 560a b + 192a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (64b + 132a b + 32a b)cosh(x) - 12a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 12 2 2 10 +--R a b cosh(x) + (8a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 8 +--R (16b + 61a b + 80a b + 32a )cosh(x) +--R + +--R 3 2 2 3 6 +--R (32b + 94a b + 96a b + 32a )cosh(x) +--R + +--R 3 2 2 4 2 2 2 +--R (16b + 33a b + 8a b)cosh(x) - 6a b cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 12 3 2 11 +--R (3b + 3a b )sinh(x) + (20b + 20a b )cosh(x)sinh(x) +--R + +--R 3 2 2 2 2 10 +--R ((58b + 58a b )cosh(x) + 8a b + 8a b)sinh(x) +--R + +--R 3 2 3 3 2 2 9 +--R ((100b + 100a b )cosh(x) + (- 4b + 28a b + 32a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 2 3 +--R (121b + 121a b )cosh(x) + (8b + 64a b + 56a b)cosh(x) - 25b +--R + +--R 2 2 3 +--R - 89a b - 96a b - 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (104b + 104a b )cosh(x) + (128b + 224a b + 96a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 160b - 528a b - 560a b - 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (28b + 28a b )cosh(x) + (368b + 544a b + 176a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 440b - 1368a b - 1440a b - 512a )cosh(x) + 34b + 98a b +--R + +--R 2 3 +--R 96a b + 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 7 3 2 2 5 +--R (- 88b - 88a b )cosh(x) + (472b + 632a b + 160a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 720b - 2144a b - 2256a b - 832a )cosh(x) +--R + +--R 3 2 2 3 +--R (232b + 632a b + 592a b + 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 8 3 2 2 6 +--R (- 155b - 155a b )cosh(x) + (256b + 208a b - 48a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 834b - 2434a b - 2560a b - 960a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (622b + 1646a b + 1504a b + 480a )cosh(x) - b + 7a b + 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 9 3 2 2 7 +--R (- 124b - 124a b )cosh(x) + (- 32b - 256a b - 224a b)cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 736b - 2160a b - 2256a b - 832a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (848b + 2224a b + 2016a b + 640a )cosh(x) +--R + +--R 3 2 2 +--R (- 4b + 28a b + 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 10 3 2 2 8 +--R (- 54b - 54a b )cosh(x) + (- 112b - 296a b - 184a b)cosh(x) +--R + +--R 3 2 2 3 6 +--R (- 464b - 1392a b - 1440a b - 512a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (622b + 1646a b + 1504a b + 480a )cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (- 6b + 42a b + 48a b)cosh(x) + 6b + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 11 3 2 2 9 +--R (- 12b - 12a b )cosh(x) + (- 52b - 116a b - 64a b)cosh(x) +--R + +--R 3 2 2 3 7 +--R (- 176b - 544a b - 560a b - 192a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (232b + 632a b + 592a b + 192a )cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 4b + 28a b + 32a b)cosh(x) + (12b + 12a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 12 3 2 2 10 +--R (- b - a b )cosh(x) + (- 8b - 16a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 29b - 93a b - 96a b - 32a )cosh(x) +--R + +--R 3 2 2 3 6 3 2 2 4 +--R (34b + 98a b + 96a b + 32a )cosh(x) + (- b + 7a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (6b + 6a b )cosh(x) - b - a b +--R / +--R 3 8 3 7 +--R 16a b sinh(x) + 128a b cosh(x)sinh(x) +--R + +--R 3 2 3 2 2 6 +--R (448a b cosh(x) + 32a b + 64a b )sinh(x) +--R + +--R 3 3 3 2 2 5 +--R (896a b cosh(x) + (192a b + 384a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 2 3 4 +--R (1120a b cosh(x) + (480a b + 960a b )cosh(x) + 16a b )sinh(x) +--R + +--R 3 5 3 2 2 3 3 +--R (896a b cosh(x) + (640a b + 1280a b )cosh(x) + 64a b cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 3 2 2 4 3 2 +--R (448a b cosh(x) + (480a b + 960a b )cosh(x) + 96a b cosh(x) ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 3 2 2 5 3 3 +--R (128a b cosh(x) + (192a b + 384a b )cosh(x) + 64a b cosh(x) ) +--R * +--R sinh(x) +--R + +--R 3 8 3 2 2 6 3 4 +--R 16a b cosh(x) + (32a b + 64a b )cosh(x) + 16a b cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 8 4 3 7 +--R (- 16b - 16a b )sinh(x) + (- 128b - 128a b )cosh(x)sinh(x) +--R + +--R 4 3 2 4 3 2 2 6 +--R ((- 448b - 448a b )cosh(x) - 32b - 96a b - 64a b )sinh(x) +--R + +--R 4 3 3 4 3 2 2 +--R ((- 896b - 896a b )cosh(x) + (- 192b - 576a b - 384a b )cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 4 +--R (- 1120b - 1120a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 480b - 1440a b - 960a b )cosh(x) - 16b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 5 4 3 2 2 3 +--R (- 896b - 896a b )cosh(x) + (- 640b - 1920a b - 1280a b )cosh(x) +--R + +--R 4 3 +--R (- 64b - 64a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 6 4 3 2 2 4 +--R (- 448b - 448a b )cosh(x) + (- 480b - 1440a b - 960a b )cosh(x) +--R + +--R 4 3 2 +--R (- 96b - 96a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 7 4 3 2 2 5 +--R (- 128b - 128a b )cosh(x) + (- 192b - 576a b - 384a b )cosh(x) +--R + +--R 4 3 3 +--R (- 64b - 64a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 8 4 3 2 2 6 +--R (- 16b - 16a b )cosh(x) + (- 32b - 96a b - 64a b )cosh(x) +--R + +--R 4 3 4 +--R (- 16b - 16a b )cosh(x) +--R Type: Expression Integer +--E 414 + +--S 415 of 552 +m0775b:= a0775.2-r0775 +--R +--R +--R (407) +--R 2 2 4 +--R (64b + 128a b + 64a )sinh(x) +--R + +--R 2 2 3 +--R (256b + 512a b + 256a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (384b + 768a b + 384a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (256b + 512a b + 256a )cosh(x) sinh(x) +--R + +--R 2 2 4 +--R (64b + 128a b + 64a )cosh(x) +--R * +--R +-+ +--R +-----+ tanh(x)\|a +--R \|b + a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 2 4 +--R (- 64b - 128a b - 64a )sinh(x) +--R + +--R 2 2 3 +--R (- 256b - 512a b - 256a )cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 384b - 768a b - 384a )cosh(x) sinh(x) +--R + +--R 2 2 3 +--R (- 256b - 512a b - 256a )cosh(x) sinh(x) +--R + +--R 2 2 4 +--R (- 64b - 128a b - 64a )cosh(x) +--R * +--R +-------+ +--R |- b - a +--R +-------+ 2a |------- +--R |- b - a +-+ \| a +--R |------- \|a atan(----------------------------------------------------) +--R \| a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R 2 8 2 7 +--R b sinh(x) - 8b cosh(x)sinh(x) +--R + +--R 2 2 2 6 +--R (- 36b cosh(x) - 16b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (- 40b cosh(x) + (- 40b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 4 +--R (6b cosh(x) + (- 16b + 8a b)cosh(x) )sinh(x) +--R + +--R 2 5 2 3 3 +--R (40b cosh(x) + (16b + 32a b)cosh(x) )sinh(x) +--R + +--R 2 6 2 4 2 2 +--R (28b cosh(x) + (- 16b + 8a b)cosh(x) + 16b + 8a b)sinh(x) +--R + +--R 2 7 2 5 2 +--R (8b cosh(x) + (- 40b - 16a b)cosh(x) + (32b + 16a b)cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 2 +--R b cosh(x) + (- 16b - 8a b)cosh(x) + (16b + 8a b)cosh(x) - b +--R * +--R +-+ +--R \|a +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R * +--R +-+ +--R \|a +--R Type: Expression Integer +--E 415 + +--S 416 of 552 +d0775b:= D(m0775b,x) +--R +--R +--R (408) +--R 2 12 2 11 +--R - 3a b sinh(x) - 20a b cosh(x)sinh(x) +--R + +--R 2 2 2 10 +--R (- 58a b cosh(x) - 8a b)sinh(x) +--R + +--R 2 3 2 2 9 +--R (- 100a b cosh(x) + (4a b - 32a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 3 2 +--R - 121a b cosh(x) + (- 8a b - 56a b)cosh(x) + 16b + 57a b +--R + +--R 2 3 +--R 80a b + 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 2 5 2 2 3 +--R - 104a b cosh(x) + (- 128a b - 96a b)cosh(x) +--R + +--R 3 2 2 3 +--R (128b + 416a b + 496a b + 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R - 28a b cosh(x) + (- 368a b - 176a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (448b + 1336a b + 1376a b + 512a )cosh(x) + 32b + 94a b +--R + +--R 2 3 +--R 96a b + 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R 88a b cosh(x) + (- 472a b - 160a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (896b + 2512a b + 2320a b + 832a )cosh(x) +--R + +--R 3 2 2 3 +--R (192b + 536a b + 560a b + 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R 155a b cosh(x) + (- 256a b + 48a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (1120b + 3074a b + 2720a b + 960a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (480b + 1298a b + 1376a b + 480a )cosh(x) + 16b + 33a b + 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 9 2 2 7 +--R 124a b cosh(x) + (32a b + 224a b)cosh(x) +--R + +--R 3 2 2 3 5 +--R (896b + 2528a b + 2320a b + 832a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (640b + 1712a b + 1824a b + 640a )cosh(x) +--R + +--R 3 2 2 +--R (64b + 132a b + 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 10 2 2 8 +--R 54a b cosh(x) + (112a b + 184a b)cosh(x) +--R + +--R 3 2 2 3 6 +--R (448b + 1360a b + 1376a b + 512a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (480b + 1298a b + 1376a b + 480a )cosh(x) +--R + +--R 3 2 2 2 2 +--R (96b + 198a b + 48a b)cosh(x) - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 11 2 2 9 +--R 12a b cosh(x) + (52a b + 64a b)cosh(x) +--R + +--R 3 2 2 3 7 +--R (128b + 432a b + 496a b + 192a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (192b + 536a b + 560a b + 192a )cosh(x) +--R + +--R 3 2 2 3 2 +--R (64b + 132a b + 32a b)cosh(x) - 12a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 12 2 2 10 +--R a b cosh(x) + (8a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 8 +--R (16b + 61a b + 80a b + 32a )cosh(x) +--R + +--R 3 2 2 3 6 +--R (32b + 94a b + 96a b + 32a )cosh(x) +--R + +--R 3 2 2 4 2 2 2 +--R (16b + 33a b + 8a b)cosh(x) - 6a b cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 12 3 2 11 +--R (3b + 3a b )sinh(x) + (20b + 20a b )cosh(x)sinh(x) +--R + +--R 3 2 2 2 2 10 +--R ((58b + 58a b )cosh(x) + 8a b + 8a b)sinh(x) +--R + +--R 3 2 3 3 2 2 9 +--R ((100b + 100a b )cosh(x) + (- 4b + 28a b + 32a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 2 3 +--R (121b + 121a b )cosh(x) + (8b + 64a b + 56a b)cosh(x) - 25b +--R + +--R 2 2 3 +--R - 89a b - 96a b - 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (104b + 104a b )cosh(x) + (128b + 224a b + 96a b)cosh(x) +--R + +--R 3 2 2 3 +--R (- 160b - 528a b - 560a b - 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (28b + 28a b )cosh(x) + (368b + 544a b + 176a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 +--R (- 440b - 1368a b - 1440a b - 512a )cosh(x) + 34b + 98a b +--R + +--R 2 3 +--R 96a b + 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 7 3 2 2 5 +--R (- 88b - 88a b )cosh(x) + (472b + 632a b + 160a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 720b - 2144a b - 2256a b - 832a )cosh(x) +--R + +--R 3 2 2 3 +--R (232b + 632a b + 592a b + 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 8 3 2 2 6 +--R (- 155b - 155a b )cosh(x) + (256b + 208a b - 48a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 834b - 2434a b - 2560a b - 960a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (622b + 1646a b + 1504a b + 480a )cosh(x) - b + 7a b + 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 9 3 2 2 7 +--R (- 124b - 124a b )cosh(x) + (- 32b - 256a b - 224a b)cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 736b - 2160a b - 2256a b - 832a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (848b + 2224a b + 2016a b + 640a )cosh(x) +--R + +--R 3 2 2 +--R (- 4b + 28a b + 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 10 3 2 2 8 +--R (- 54b - 54a b )cosh(x) + (- 112b - 296a b - 184a b)cosh(x) +--R + +--R 3 2 2 3 6 +--R (- 464b - 1392a b - 1440a b - 512a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (622b + 1646a b + 1504a b + 480a )cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (- 6b + 42a b + 48a b)cosh(x) + 6b + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 11 3 2 2 9 +--R (- 12b - 12a b )cosh(x) + (- 52b - 116a b - 64a b)cosh(x) +--R + +--R 3 2 2 3 7 +--R (- 176b - 544a b - 560a b - 192a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (232b + 632a b + 592a b + 192a )cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 4b + 28a b + 32a b)cosh(x) + (12b + 12a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 12 3 2 2 10 +--R (- b - a b )cosh(x) + (- 8b - 16a b - 8a b)cosh(x) +--R + +--R 3 2 2 3 8 +--R (- 29b - 93a b - 96a b - 32a )cosh(x) +--R + +--R 3 2 2 3 6 3 2 2 4 +--R (34b + 98a b + 96a b + 32a )cosh(x) + (- b + 7a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 2 +--R (6b + 6a b )cosh(x) - b - a b +--R / +--R 3 8 3 7 +--R 16a b sinh(x) + 128a b cosh(x)sinh(x) +--R + +--R 3 2 3 2 2 6 +--R (448a b cosh(x) + 32a b + 64a b )sinh(x) +--R + +--R 3 3 3 2 2 5 +--R (896a b cosh(x) + (192a b + 384a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 2 3 4 +--R (1120a b cosh(x) + (480a b + 960a b )cosh(x) + 16a b )sinh(x) +--R + +--R 3 5 3 2 2 3 3 +--R (896a b cosh(x) + (640a b + 1280a b )cosh(x) + 64a b cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 3 2 2 4 3 2 +--R (448a b cosh(x) + (480a b + 960a b )cosh(x) + 96a b cosh(x) ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 3 2 2 5 3 3 +--R (128a b cosh(x) + (192a b + 384a b )cosh(x) + 64a b cosh(x) ) +--R * +--R sinh(x) +--R + +--R 3 8 3 2 2 6 3 4 +--R 16a b cosh(x) + (32a b + 64a b )cosh(x) + 16a b cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 8 4 3 7 +--R (- 16b - 16a b )sinh(x) + (- 128b - 128a b )cosh(x)sinh(x) +--R + +--R 4 3 2 4 3 2 2 6 +--R ((- 448b - 448a b )cosh(x) - 32b - 96a b - 64a b )sinh(x) +--R + +--R 4 3 3 4 3 2 2 +--R ((- 896b - 896a b )cosh(x) + (- 192b - 576a b - 384a b )cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 4 +--R (- 1120b - 1120a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 480b - 1440a b - 960a b )cosh(x) - 16b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 5 4 3 2 2 3 +--R (- 896b - 896a b )cosh(x) + (- 640b - 1920a b - 1280a b )cosh(x) +--R + +--R 4 3 +--R (- 64b - 64a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 6 4 3 2 2 4 +--R (- 448b - 448a b )cosh(x) + (- 480b - 1440a b - 960a b )cosh(x) +--R + +--R 4 3 2 +--R (- 96b - 96a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 7 4 3 2 2 5 +--R (- 128b - 128a b )cosh(x) + (- 192b - 576a b - 384a b )cosh(x) +--R + +--R 4 3 3 +--R (- 64b - 64a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 8 4 3 2 2 6 +--R (- 16b - 16a b )cosh(x) + (- 32b - 96a b - 64a b )cosh(x) +--R + +--R 4 3 4 +--R (- 16b - 16a b )cosh(x) +--R Type: Expression Integer +--E 416 + +--S 417 of 552 +t0776:= sinh(x)^7/(a+b*cosh(x)^2) +--R +--R +--R 7 +--R sinh(x) +--R (409) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 417 + +--S 418 of 552 +r0776:= -(a+b)^3*atan(b^(1/2)*cosh(x)/a^(1/2))/a^(1/2)/b^(7/2)+_ + a*cosh(x)/b^2+2*cosh(x)/b+(a+b)^2*cosh(x)/b^3-_ + 1/3*a*cosh(x)^3/b^2-cosh(x)^3/b+1/5*cosh(x)^5/b +--R +--R +--R (410) +--R +-+ +--R 3 2 2 3 cosh(x)\|b +--R (- 15b - 45a b - 45a b - 15a )atan(-----------) +--R +-+ +--R \|a +--R + +--R 2 5 2 3 2 2 +--R (3b cosh(x) + (- 15b - 5a b)cosh(x) + (45b + 45a b + 15a )cosh(x)) +--R * +--R +-+ +-+ +--R \|a \|b +--R / +--R 3 +-+ +-+ +--R 15b \|a \|b +--R Type: Expression Integer +--E 418 + +--S 419 of 552 +a0776:= integrate(t0776,x) +--R +--R +--R (411) +--R [ +--R 3 2 2 3 5 +--R (240b + 720a b + 720a b + 240a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (1200b + 3600a b + 3600a b + 1200a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (2400b + 7200a b + 7200a b + 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (2400b + 7200a b + 7200a b + 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (1200b + 3600a b + 3600a b + 1200a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (240b + 720a b + 720a b + 240a )cosh(x) +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b - 4a)cosh(x) + b +--R * +--R +-----+ +--R \|- a b +--R + +--R 3 2 +--R - 4a b sinh(x) - 12a b cosh(x)sinh(x) +--R + +--R 2 3 +--R (- 12a b cosh(x) - 4a b)sinh(x) - 4a b cosh(x) - 4a b cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2 10 2 9 +--R 3b sinh(x) + 30b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (135b cosh(x) - 45b - 20a b)sinh(x) +--R + +--R 2 3 2 7 +--R (360b cosh(x) + (- 360b - 160a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 630b cosh(x) + (- 1260b - 560a b)cosh(x) + 570b + 660a b +--R + +--R 2 +--R 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 756b cosh(x) + (- 2520b - 1120a b)cosh(x) +--R + +--R 2 2 +--R (3420b + 3960a b + 1440a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 630b cosh(x) + (- 3150b - 1400a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (8550b + 9900a b + 3600a )cosh(x) + 570b + 660a b + 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 360b cosh(x) + (- 2520b - 1120a b)cosh(x) +--R + +--R 2 2 3 +--R (11400b + 13200a b + 4800a )cosh(x) +--R + +--R 2 2 +--R (2280b + 2640a b + 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 135b cosh(x) + (- 1260b - 560a b)cosh(x) +--R + +--R 2 2 4 +--R (8550b + 9900a b + 3600a )cosh(x) +--R + +--R 2 2 2 2 +--R (3420b + 3960a b + 1440a )cosh(x) - 45b - 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 30b cosh(x) + (- 360b - 160a b)cosh(x) +--R + +--R 2 2 5 +--R (3420b + 3960a b + 1440a )cosh(x) +--R + +--R 2 2 3 2 +--R (2280b + 2640a b + 960a )cosh(x) + (- 90b - 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R 3b cosh(x) + (- 45b - 20a b)cosh(x) +--R + +--R 2 2 6 2 2 4 +--R (570b + 660a b + 240a )cosh(x) + (570b + 660a b + 240a )cosh(x) +--R + +--R 2 2 2 +--R (- 45b - 20a b)cosh(x) + 3b +--R * +--R +-----+ +--R \|- a b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +-----+ +--R \|- a b +--R , +--R +--R 3 2 2 3 5 +--R (- 480b - 1440a b - 1440a b - 480a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 2400b - 7200a b - 7200a b - 2400a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (- 4800b - 14400a b - 14400a b - 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 4800b - 14400a b - 14400a b - 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 2400b - 7200a b - 7200a b - 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 480b - 1440a b - 1440a b - 480a )cosh(x) +--R * +--R +---+ +--R (sinh(x) + cosh(x))\|a b +--R atan(-------------------------) +--R 2a +--R + +--R 3 2 2 3 5 +--R (480b + 1440a b + 1440a b + 480a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b + 7200a b + 7200a b + 2400a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (4800b + 14400a b + 14400a b + 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (4800b + 14400a b + 14400a b + 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b + 7200a b + 7200a b + 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (480b + 1440a b + 1440a b + 480a )cosh(x) +--R * +--R atan +--R 3 2 +--R b sinh(x) + 3b cosh(x)sinh(x) +--R + +--R 2 3 +--R (3b cosh(x) + b + 4a)sinh(x) + b cosh(x) + (b + 4a)cosh(x) +--R / +--R +---+ +--R 2\|a b +--R + +--R 2 10 2 9 +--R 3b sinh(x) + 30b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (135b cosh(x) - 45b - 20a b)sinh(x) +--R + +--R 2 3 2 7 +--R (360b cosh(x) + (- 360b - 160a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 630b cosh(x) + (- 1260b - 560a b)cosh(x) + 570b + 660a b +--R + +--R 2 +--R 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 756b cosh(x) + (- 2520b - 1120a b)cosh(x) +--R + +--R 2 2 +--R (3420b + 3960a b + 1440a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 630b cosh(x) + (- 3150b - 1400a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (8550b + 9900a b + 3600a )cosh(x) + 570b + 660a b + 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 360b cosh(x) + (- 2520b - 1120a b)cosh(x) +--R + +--R 2 2 3 +--R (11400b + 13200a b + 4800a )cosh(x) +--R + +--R 2 2 +--R (2280b + 2640a b + 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 135b cosh(x) + (- 1260b - 560a b)cosh(x) +--R + +--R 2 2 4 +--R (8550b + 9900a b + 3600a )cosh(x) +--R + +--R 2 2 2 2 +--R (3420b + 3960a b + 1440a )cosh(x) - 45b - 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 30b cosh(x) + (- 360b - 160a b)cosh(x) +--R + +--R 2 2 5 +--R (3420b + 3960a b + 1440a )cosh(x) +--R + +--R 2 2 3 2 +--R (2280b + 2640a b + 960a )cosh(x) + (- 90b - 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R 3b cosh(x) + (- 45b - 20a b)cosh(x) +--R + +--R 2 2 6 2 2 4 +--R (570b + 660a b + 240a )cosh(x) + (570b + 660a b + 240a )cosh(x) +--R + +--R 2 2 2 +--R (- 45b - 20a b)cosh(x) + 3b +--R * +--R +---+ +--R \|a b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +---+ +--R \|a b +--R ] +--R Type: Union(List Expression Integer,...) +--E 419 + +--S 420 of 552 +m0776a:= a0776.1-r0776 +--R +--R +--R (412) +--R 3 2 2 3 5 +--R (240b + 720a b + 720a b + 240a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (1200b + 3600a b + 3600a b + 1200a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (2400b + 7200a b + 7200a b + 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (2400b + 7200a b + 7200a b + 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (1200b + 3600a b + 3600a b + 1200a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (240b + 720a b + 720a b + 240a )cosh(x) +--R * +--R +-+ +-+ +--R \|a \|b +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b - 4a)cosh(x) + b +--R * +--R +-----+ +--R \|- a b +--R + +--R 3 2 +--R - 4a b sinh(x) - 12a b cosh(x)sinh(x) +--R + +--R 2 3 +--R (- 12a b cosh(x) - 4a b)sinh(x) - 4a b cosh(x) - 4a b cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 3 2 2 3 5 +--R (480b + 1440a b + 1440a b + 480a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b + 7200a b + 7200a b + 2400a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (4800b + 14400a b + 14400a b + 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (4800b + 14400a b + 14400a b + 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b + 7200a b + 7200a b + 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (480b + 1440a b + 1440a b + 480a )cosh(x) +--R * +--R +-+ +--R +-----+ cosh(x)\|b +--R \|- a b atan(-----------) +--R +-+ +--R \|a +--R + +--R 2 10 2 9 +--R 3b sinh(x) + 30b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (135b cosh(x) - 45b - 20a b)sinh(x) +--R + +--R 2 3 2 7 +--R (360b cosh(x) + (- 360b - 160a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 630b cosh(x) + (- 1260b - 560a b)cosh(x) + 570b + 660a b +--R + +--R 2 +--R 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 660b cosh(x) + (- 2040b - 960a b)cosh(x) +--R + +--R 2 2 +--R (1980b + 2520a b + 960a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 150b cosh(x) + (- 750b - 600a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (1350b + 2700a b + 1200a )cosh(x) + 570b + 660a b + 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R - 600b cosh(x) + (2280b + 480a b)cosh(x) +--R + +--R 2 3 2 2 +--R (- 3000b - 1200a b)cosh(x) + (2280b + 2640a b + 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R - 825b cosh(x) + (3540b + 1040a b)cosh(x) +--R + +--R 2 2 4 +--R (- 5850b - 4500a b - 1200a )cosh(x) +--R + +--R 2 2 2 2 +--R (3420b + 3960a b + 1440a )cosh(x) - 45b - 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R - 450b cosh(x) + (2040b + 640a b)cosh(x) +--R + +--R 2 2 5 +--R (- 3780b - 3240a b - 960a )cosh(x) +--R + +--R 2 2 3 2 +--R (2280b + 2640a b + 960a )cosh(x) + (- 90b - 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R - 93b cosh(x) + (435b + 140a b)cosh(x) +--R + +--R 2 2 6 2 2 4 +--R (- 870b - 780a b - 240a )cosh(x) + (570b + 660a b + 240a )cosh(x) +--R + +--R 2 2 2 +--R (- 45b - 20a b)cosh(x) + 3b +--R * +--R +-----+ +-+ +-+ +--R \|- a b \|a \|b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +-----+ +-+ +-+ +--R \|- a b \|a \|b +--R Type: Expression Integer +--E 420 + +--S 421 of 552 +d0776a:= D(m0776a,x) +--R +--R +--R (413) +--R 2 14 3 13 +--R (b cosh(x) + a)sinh(x) + (14b cosh(x) + 14a cosh(x))sinh(x) +--R + +--R 4 2 12 +--R (91b cosh(x) + (- 7b + 91a)cosh(x) - 7a)sinh(x) +--R + +--R 5 3 11 +--R (364b cosh(x) + (- 84b + 364a)cosh(x) - 84a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R 969b cosh(x) + (- 366b + 1001a)cosh(x) + (- 75b - 462a)cosh(x) +--R + +--R 32b + 21a +--R * +--R 10 +--R sinh(x) +--R + +--R 7 5 3 +--R 1714b cosh(x) + (- 676b + 2002a)cosh(x) + (- 654b - 1540a)cosh(x) +--R + +--R (288b + 210a)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 8 6 4 +--R 1851b cosh(x) + (- 73b + 2875a)cosh(x) + (- 2319b - 3081a)cosh(x) +--R + +--R 2 +--R (925b + 561a)cosh(x) + 64b + 93a +--R * +--R 8 +--R sinh(x) +--R + +--R 9 7 5 +--R 744b cosh(x) + (2072b + 2536a)cosh(x) + (- 4200b - 2856a)cosh(x) +--R + +--R 3 +--R (1064b - 168a)cosh(x) + (448b + 616a)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 10 8 +--R - 1029b cosh(x) + (4284b + 315a)cosh(x) +--R + +--R 6 4 +--R (- 3686b + 1596a)cosh(x) + (- 884b - 3654a)cosh(x) +--R + +--R 2 +--R (1283b + 1708a)cosh(x) + 32b + 35a +--R * +--R 6 +--R sinh(x) +--R + +--R 11 9 +--R - 2030b cosh(x) + (4312b - 2478a)cosh(x) +--R + +--R 7 5 +--R (- 244b + 7896a)cosh(x) + (- 4168b - 8148a)cosh(x) +--R + +--R 3 +--R (1970b + 2520a)cosh(x) + (160b + 210a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 12 10 +--R - 1687b cosh(x) + (2359b - 3479a)cosh(x) +--R + +--R 8 6 +--R (2746b + 9975a)cosh(x) + (- 5522b - 9030a)cosh(x) +--R + +--R 4 2 +--R (1805b + 2030a)cosh(x) + (299b + 525a)cosh(x) - 21a +--R * +--R 4 +--R sinh(x) +--R + +--R 13 11 9 +--R - 788b cosh(x) + (572b - 2324a)cosh(x) + (2776b + 6524a)cosh(x) +--R + +--R 7 5 +--R (- 3880b - 5544a)cosh(x) + (1084b + 728a)cosh(x) +--R + +--R 3 +--R (236b + 700a)cosh(x) - 84a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 14 12 10 +--R - 197b cosh(x) + (- 46b - 805a)cosh(x) + (1265b + 2226a)cosh(x) +--R + +--R 8 6 +--R (- 1556b - 1743a)cosh(x) + (493b - 84a)cosh(x) +--R + +--R 4 2 +--R (34b + 525a)cosh(x) + (7b - 126a)cosh(x) + 7a +--R * +--R 2 +--R sinh(x) +--R + +--R 15 13 11 +--R - 18b cosh(x) + (- 52b - 114a)cosh(x) + (274b + 300a)cosh(x) +--R + +--R 9 7 +--R (- 344b - 174a)cosh(x) + (178b - 152a)cosh(x) +--R + +--R 5 3 +--R (- 52b + 210a)cosh(x) + (14b - 84a)cosh(x) + 14a cosh(x) +--R * +--R sinh(x) +--R + +--R 16 14 12 +--R b cosh(x) + (- 7b + a)cosh(x) + (21b - 7a)cosh(x) +--R + +--R 10 8 6 +--R (- 35b + 21a)cosh(x) + (35b - 35a)cosh(x) + (- 21b + 35a)cosh(x) +--R + +--R 4 2 +--R (7b - 21a)cosh(x) + (- b + 7a)cosh(x) - a +--R / +--R 2 2 9 2 3 8 +--R (32b cosh(x) + 32a b)sinh(x) + (288b cosh(x) + 288a b cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 7 +--R (1152b cosh(x) + (64b + 1280a b)cosh(x) + 64a b + 128a )sinh(x) +--R + +--R 2 5 2 3 2 +--R (2688b cosh(x) + (448b + 3584a b)cosh(x) + (448a b + 896a )cosh(x)) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 4032b cosh(x) + (1344b + 6720a b)cosh(x) +--R + +--R 2 2 2 +--R (32b + 1344a b + 2688a )cosh(x) + 32a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 4032b cosh(x) + (2240b + 8512a b)cosh(x) +--R + +--R 2 2 3 +--R (160b + 2240a b + 4480a )cosh(x) + 160a b cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 2688b cosh(x) + (2240b + 7168a b)cosh(x) +--R + +--R 2 2 4 2 +--R (320b + 2240a b + 4480a )cosh(x) + 320a b cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 1152b cosh(x) + (1344b + 3840a b)cosh(x) +--R + +--R 2 2 5 3 +--R (320b + 1344a b + 2688a )cosh(x) + 320a b cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 10 2 8 +--R 288b cosh(x) + (448b + 1184a b)cosh(x) +--R + +--R 2 2 6 4 +--R (160b + 448a b + 896a )cosh(x) + 160a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 11 2 9 2 2 7 +--R 32b cosh(x) + (64b + 160a b)cosh(x) + (32b + 64a b + 128a )cosh(x) +--R + +--R 5 +--R 32a b cosh(x) +--R Type: Expression Integer +--E 421 + +--S 422 of 552 +m0776b:= a0776.2-r0776 +--R +--R +--R (414) +--R 3 2 2 3 5 +--R (- 480b - 1440a b - 1440a b - 480a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 2400b - 7200a b - 7200a b - 2400a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (- 4800b - 14400a b - 14400a b - 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 4800b - 14400a b - 14400a b - 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (- 2400b - 7200a b - 7200a b - 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (- 480b - 1440a b - 1440a b - 480a )cosh(x) +--R * +--R +---+ +--R +-+ +-+ (sinh(x) + cosh(x))\|a b +--R \|a \|b atan(-------------------------) +--R 2a +--R + +--R 3 2 2 3 5 +--R (480b + 1440a b + 1440a b + 480a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b + 7200a b + 7200a b + 2400a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (4800b + 14400a b + 14400a b + 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (4800b + 14400a b + 14400a b + 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b + 7200a b + 7200a b + 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (480b + 1440a b + 1440a b + 480a )cosh(x) +--R * +--R +-+ +--R +---+ cosh(x)\|b +--R \|a b atan(-----------) +--R +-+ +--R \|a +--R + +--R 3 2 2 3 5 +--R (480b + 1440a b + 1440a b + 480a )sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b + 7200a b + 7200a b + 2400a )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 3 +--R (4800b + 14400a b + 14400a b + 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 3 2 +--R (4800b + 14400a b + 14400a b + 4800a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 4 +--R (2400b + 7200a b + 7200a b + 2400a )cosh(x) sinh(x) +--R + +--R 3 2 2 3 5 +--R (480b + 1440a b + 1440a b + 480a )cosh(x) +--R * +--R +-+ +-+ +--R \|a \|b +--R * +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) + b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (b + 4a)cosh(x) +--R / +--R +---+ +--R 2\|a b +--R + +--R 2 10 2 9 +--R 3b sinh(x) + 30b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (135b cosh(x) - 45b - 20a b)sinh(x) +--R + +--R 2 3 2 7 +--R (360b cosh(x) + (- 360b - 160a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 630b cosh(x) + (- 1260b - 560a b)cosh(x) + 570b + 660a b +--R + +--R 2 +--R 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 660b cosh(x) + (- 2040b - 960a b)cosh(x) +--R + +--R 2 2 +--R (1980b + 2520a b + 960a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 150b cosh(x) + (- 750b - 600a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (1350b + 2700a b + 1200a )cosh(x) + 570b + 660a b + 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R - 600b cosh(x) + (2280b + 480a b)cosh(x) +--R + +--R 2 3 2 2 +--R (- 3000b - 1200a b)cosh(x) + (2280b + 2640a b + 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R - 825b cosh(x) + (3540b + 1040a b)cosh(x) +--R + +--R 2 2 4 +--R (- 5850b - 4500a b - 1200a )cosh(x) +--R + +--R 2 2 2 2 +--R (3420b + 3960a b + 1440a )cosh(x) - 45b - 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R - 450b cosh(x) + (2040b + 640a b)cosh(x) +--R + +--R 2 2 5 +--R (- 3780b - 3240a b - 960a )cosh(x) +--R + +--R 2 2 3 2 +--R (2280b + 2640a b + 960a )cosh(x) + (- 90b - 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R - 93b cosh(x) + (435b + 140a b)cosh(x) +--R + +--R 2 2 6 2 2 4 +--R (- 870b - 780a b - 240a )cosh(x) + (570b + 660a b + 240a )cosh(x) +--R + +--R 2 2 2 +--R (- 45b - 20a b)cosh(x) + 3b +--R * +--R +-+ +-+ +---+ +--R \|a \|b \|a b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +-+ +-+ +---+ +--R \|a \|b \|a b +--R Type: Expression Integer +--E 422 + +--S 423 of 552 +d0776b:= D(m0776b,x) +--R +--R +--R (415) +--R 2 14 3 13 +--R (b cosh(x) + a)sinh(x) + (14b cosh(x) + 14a cosh(x))sinh(x) +--R + +--R 4 2 12 +--R (91b cosh(x) + (- 7b + 91a)cosh(x) - 7a)sinh(x) +--R + +--R 5 3 11 +--R (364b cosh(x) + (- 84b + 364a)cosh(x) - 84a cosh(x))sinh(x) +--R + +--R 6 4 2 +--R 969b cosh(x) + (- 366b + 1001a)cosh(x) + (- 75b - 462a)cosh(x) +--R + +--R 32b + 21a +--R * +--R 10 +--R sinh(x) +--R + +--R 7 5 3 +--R 1714b cosh(x) + (- 676b + 2002a)cosh(x) + (- 654b - 1540a)cosh(x) +--R + +--R (288b + 210a)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 8 6 4 +--R 1851b cosh(x) + (- 73b + 2875a)cosh(x) + (- 2319b - 3081a)cosh(x) +--R + +--R 2 +--R (925b + 561a)cosh(x) + 64b + 93a +--R * +--R 8 +--R sinh(x) +--R + +--R 9 7 5 +--R 744b cosh(x) + (2072b + 2536a)cosh(x) + (- 4200b - 2856a)cosh(x) +--R + +--R 3 +--R (1064b - 168a)cosh(x) + (448b + 616a)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 10 8 +--R - 1029b cosh(x) + (4284b + 315a)cosh(x) +--R + +--R 6 4 +--R (- 3686b + 1596a)cosh(x) + (- 884b - 3654a)cosh(x) +--R + +--R 2 +--R (1283b + 1708a)cosh(x) + 32b + 35a +--R * +--R 6 +--R sinh(x) +--R + +--R 11 9 +--R - 2030b cosh(x) + (4312b - 2478a)cosh(x) +--R + +--R 7 5 +--R (- 244b + 7896a)cosh(x) + (- 4168b - 8148a)cosh(x) +--R + +--R 3 +--R (1970b + 2520a)cosh(x) + (160b + 210a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 12 10 +--R - 1687b cosh(x) + (2359b - 3479a)cosh(x) +--R + +--R 8 6 +--R (2746b + 9975a)cosh(x) + (- 5522b - 9030a)cosh(x) +--R + +--R 4 2 +--R (1805b + 2030a)cosh(x) + (299b + 525a)cosh(x) - 21a +--R * +--R 4 +--R sinh(x) +--R + +--R 13 11 9 +--R - 788b cosh(x) + (572b - 2324a)cosh(x) + (2776b + 6524a)cosh(x) +--R + +--R 7 5 +--R (- 3880b - 5544a)cosh(x) + (1084b + 728a)cosh(x) +--R + +--R 3 +--R (236b + 700a)cosh(x) - 84a cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 14 12 10 +--R - 197b cosh(x) + (- 46b - 805a)cosh(x) + (1265b + 2226a)cosh(x) +--R + +--R 8 6 +--R (- 1556b - 1743a)cosh(x) + (493b - 84a)cosh(x) +--R + +--R 4 2 +--R (34b + 525a)cosh(x) + (7b - 126a)cosh(x) + 7a +--R * +--R 2 +--R sinh(x) +--R + +--R 15 13 11 +--R - 18b cosh(x) + (- 52b - 114a)cosh(x) + (274b + 300a)cosh(x) +--R + +--R 9 7 +--R (- 344b - 174a)cosh(x) + (178b - 152a)cosh(x) +--R + +--R 5 3 +--R (- 52b + 210a)cosh(x) + (14b - 84a)cosh(x) + 14a cosh(x) +--R * +--R sinh(x) +--R + +--R 16 14 12 +--R b cosh(x) + (- 7b + a)cosh(x) + (21b - 7a)cosh(x) +--R + +--R 10 8 6 +--R (- 35b + 21a)cosh(x) + (35b - 35a)cosh(x) + (- 21b + 35a)cosh(x) +--R + +--R 4 2 +--R (7b - 21a)cosh(x) + (- b + 7a)cosh(x) - a +--R / +--R 2 2 9 2 3 8 +--R (32b cosh(x) + 32a b)sinh(x) + (288b cosh(x) + 288a b cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 7 +--R (1152b cosh(x) + (64b + 1280a b)cosh(x) + 64a b + 128a )sinh(x) +--R + +--R 2 5 2 3 2 +--R (2688b cosh(x) + (448b + 3584a b)cosh(x) + (448a b + 896a )cosh(x)) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 4032b cosh(x) + (1344b + 6720a b)cosh(x) +--R + +--R 2 2 2 +--R (32b + 1344a b + 2688a )cosh(x) + 32a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 4032b cosh(x) + (2240b + 8512a b)cosh(x) +--R + +--R 2 2 3 +--R (160b + 2240a b + 4480a )cosh(x) + 160a b cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 2688b cosh(x) + (2240b + 7168a b)cosh(x) +--R + +--R 2 2 4 2 +--R (320b + 2240a b + 4480a )cosh(x) + 320a b cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 1152b cosh(x) + (1344b + 3840a b)cosh(x) +--R + +--R 2 2 5 3 +--R (320b + 1344a b + 2688a )cosh(x) + 320a b cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 10 2 8 +--R 288b cosh(x) + (448b + 1184a b)cosh(x) +--R + +--R 2 2 6 4 +--R (160b + 448a b + 896a )cosh(x) + 160a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 11 2 9 2 2 7 +--R 32b cosh(x) + (64b + 160a b)cosh(x) + (32b + 64a b + 128a )cosh(x) +--R + +--R 5 +--R 32a b cosh(x) +--R Type: Expression Integer +--E 423 + +--S 424 of 552 +t0777:= cosh(x)/(a+b*cosh(x)^2) +--R +--R +--R cosh(x) +--R (416) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 424 + +--S 425 of 552 +r0777:= atan(b^(1/2)*sinh(x)/(a+b)^(1/2))/b^(1/2)/(a+b)^(1/2) +--R +--R +--R +-+ +--R sinh(x)\|b +--R atan(-----------) +--R +-----+ +--R \|b + a +--R (417) ----------------- +--R +-+ +-----+ +--R \|b \|b + a +--R Type: Expression Integer +--E 425 + +--S 426 of 552 +a0777:= integrate(t0777,x) +--R +--R +--R (418) +--R [ +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 6b - 4a)cosh(x) + b +--R * +--R +----------+ +--R | 2 +--R \|- b - a b +--R + +--R 2 3 2 2 +--R (4b + 4a b)sinh(x) + (12b + 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((12b + 12a b)cosh(x) - 4b - 4a b)sinh(x) +--R + +--R 2 3 2 +--R (4b + 4a b)cosh(x) + (- 4b - 4a b)cosh(x) +--R / +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R / +--R +----------+ +--R | 2 +--R 2\|- b - a b +--R , +--R +--R +--------+ +--R | 2 +--R (sinh(x) + cosh(x))\|b + a b +--R atan(------------------------------) +--R 2b + 2a +--R + +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) + 3b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (3b + 4a)cosh(x) +--R / +--R +--------+ +--R | 2 +--R 2\|b + a b +--R / +--R +--------+ +--R | 2 +--R \|b + a b +--R ] +--R Type: Union(List Expression Integer,...) +--E 426 + +--S 427 of 552 +m0777a:= a0777.1-r0777 +--R +--R +--R (419) +--R +-+ +-----+ +--R \|b \|b + a +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 6b - 4a)cosh(x) + b +--R * +--R +----------+ +--R | 2 +--R \|- b - a b +--R + +--R 2 3 2 2 +--R (4b + 4a b)sinh(x) + (12b + 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((12b + 12a b)cosh(x) - 4b - 4a b)sinh(x) +--R + +--R 2 3 2 +--R (4b + 4a b)cosh(x) + (- 4b - 4a b)cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R +----------+ +-+ +--R | 2 sinh(x)\|b +--R - 2\|- b - a b atan(-----------) +--R +-----+ +--R \|b + a +--R / +--R +----------+ +--R | 2 +-+ +-----+ +--R 2\|- b - a b \|b \|b + a +--R Type: Expression Integer +--E 427 + +--S 428 of 552 +d0777a:= D(m0777a,x) +--R +--R +--R (420) +--R 5 4 2 3 +--R 2b sinh(x) + 5b cosh(x)sinh(x) + (2b cosh(x) + 4b + 2a)sinh(x) +--R + +--R 3 2 +--R (- 4b cosh(x) + (6b + 2a)cosh(x))sinh(x) +--R + +--R 4 2 5 +--R (- 4b cosh(x) + (2b - 2a)cosh(x) + 2b + 2a)sinh(x) - b cosh(x) +--R + +--R 3 +--R - 2a cosh(x) + (b + 2a)cosh(x) +--R / +--R 2 6 2 5 2 2 2 4 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + 3b + 5a b)sinh(x) +--R + +--R 2 3 2 3 +--R (4b cosh(x) + (8b + 12a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 2 +--R (b cosh(x) + (8b + 10a b)cosh(x) + 3b + 6a b + 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((4b + 4a b)cosh(x) + (4b + 12a b + 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (b + a b)cosh(x) + (2b + 6a b + 4a )cosh(x) + b + a b +--R Type: Expression Integer +--E 428 + +--S 429 of 552 +m0777b:= a0777.2-r0777 +--R +--R +--R (421) +--R +--------+ +--R | 2 +--R +-+ +-----+ (sinh(x) + cosh(x))\|b + a b +--R \|b \|b + a atan(------------------------------) +--R 2b + 2a +--R + +--R +--------+ +-+ +--R | 2 sinh(x)\|b +--R - \|b + a b atan(-----------) +--R +-----+ +--R \|b + a +--R + +--R +-+ +-----+ +--R \|b \|b + a +--R * +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) + 3b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (3b + 4a)cosh(x) +--R / +--R +--------+ +--R | 2 +--R 2\|b + a b +--R / +--R +--------+ +--R +-+ +-----+ | 2 +--R \|b \|b + a \|b + a b +--R Type: Expression Integer +--E 429 + +--S 430 of 552 +d0777b:= D(m0777b,x) +--R +--R +--R (422) +--R 5 4 2 3 +--R 2b sinh(x) + 5b cosh(x)sinh(x) + (2b cosh(x) + 4b + 2a)sinh(x) +--R + +--R 3 2 +--R (- 4b cosh(x) + (6b + 2a)cosh(x))sinh(x) +--R + +--R 4 2 5 +--R (- 4b cosh(x) + (2b - 2a)cosh(x) + 2b + 2a)sinh(x) - b cosh(x) +--R + +--R 3 +--R - 2a cosh(x) + (b + 2a)cosh(x) +--R / +--R 2 6 2 5 2 2 2 4 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + 3b + 5a b)sinh(x) +--R + +--R 2 3 2 3 +--R (4b cosh(x) + (8b + 12a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 2 +--R (b cosh(x) + (8b + 10a b)cosh(x) + 3b + 6a b + 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((4b + 4a b)cosh(x) + (4b + 12a b + 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (b + a b)cosh(x) + (2b + 6a b + 4a )cosh(x) + b + a b +--R Type: Expression Integer +--E 430 + +--S 431 of 552 +t0778:= cosh(x)^2/(a+b*cosh(x)^2) +--R +--R +--R 2 +--R cosh(x) +--R (423) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 431 + +--S 432 of 552 +r0778:= x/b-a^(1/2)*atanh(a^(1/2)*tanh(x)/(a+b)^(1/2))/b/(a+b)^(1/2) +--R +--R +--R +-+ +--R +-+ tanh(x)\|a +-----+ +--R - \|a atanh(-----------) + x\|b + a +--R +-----+ +--R \|b + a +--R (424) ------------------------------------ +--R +-----+ +--R b\|b + a +--R Type: Expression Integer +--E 432 + +--S 433 of 552 +a0778:= integrate(t0778,x) +--R +--R +--R (425) +--R [ +--R +-----+ +--R | a +--R |----- +--R \|b + a +--R * +--R log +--R 2 2 2 +--R (4b + 4a b)sinh(x) + (8b + 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (4b + 4a b)cosh(x) + 4b + 12a b + 8a +--R * +--R +-----+ +--R | a +--R |----- +--R \|b + a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2x +--R / +--R 2b +--R , +--R +-------+ +--R | a +--R +-------+ (2b + 2a) |- ----- +--R | a \| b + a +--R - |- ----- atan(----------------------------------------------------) + x +--R \| b + a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R --------------------------------------------------------------------------] +--R b +--R Type: Union(List Expression Integer,...) +--E 433 + +--S 434 of 552 +m0778a:= a0778.1-r0778 +--R +--R +--R (426) +--R +-----+ +--R | a +-----+ +--R |----- \|b + a +--R \|b + a +--R * +--R log +--R 2 2 2 +--R (4b + 4a b)sinh(x) + (8b + 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (4b + 4a b)cosh(x) + 4b + 12a b + 8a +--R * +--R +-----+ +--R | a +--R |----- +--R \|b + a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R +-+ +--R +-+ tanh(x)\|a +--R 2\|a atanh(-----------) +--R +-----+ +--R \|b + a +--R / +--R +-----+ +--R 2b\|b + a +--R Type: Expression Integer +--E 434 + +--S 435 of 552 +d0778a:= D(m0778a,x) +--R +--R +--R (427) +--R 4 3 2 2 +--R a sinh(x) + 4a cosh(x)sinh(x) + (6a cosh(x) + 2a)sinh(x) +--R + +--R 3 4 2 +--R (4a cosh(x) + 4a cosh(x))sinh(x) + a cosh(x) + 2a cosh(x) + a +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - a sinh(x) - 4a cosh(x)sinh(x) + (- 6a cosh(x) + 2a)sinh(x) +--R + +--R 3 4 2 +--R (- 4a cosh(x) + 4a cosh(x))sinh(x) - a cosh(x) + 2a cosh(x) - a +--R / +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) + 2a b + 4a )sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (4a b + 8a )cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (2a b + 4a )cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 2 3 +--R (- b - a b)sinh(x) + (- 4b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 6a b)cosh(x) - 2b - 6a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((- 4b - 4a b)cosh(x) + (- 4b - 12a b - 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- b - a b)cosh(x) + (- 2b - 6a b - 4a )cosh(x) - b - a b +--R Type: Expression Integer +--E 435 + +--S 436 of 552 +m0778b:= a0778.2-r0778 +--R +--R +--R (428) +--R +-+ +--R +-+ tanh(x)\|a +--R \|a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R - +--R +-------+ +--R | a +-----+ +--R |- ----- \|b + a +--R \| b + a +--R * +--R +-------+ +--R | a +--R (2b + 2a) |- ----- +--R \| b + a +--R atan(----------------------------------------------------) +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R / +--R +-----+ +--R b\|b + a +--R Type: Expression Integer +--E 436 + +--S 437 of 552 +d0778b:= D(m0778b,x) +--R +--R +--R (429) +--R 4 3 2 2 +--R a sinh(x) + 4a cosh(x)sinh(x) + (6a cosh(x) + 2a)sinh(x) +--R + +--R 3 4 2 +--R (4a cosh(x) + 4a cosh(x))sinh(x) + a cosh(x) + 2a cosh(x) + a +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 2 2 +--R - a sinh(x) - 4a cosh(x)sinh(x) + (- 6a cosh(x) + 2a)sinh(x) +--R + +--R 3 4 2 +--R (- 4a cosh(x) + 4a cosh(x))sinh(x) - a cosh(x) + 2a cosh(x) - a +--R / +--R 4 3 +--R a b sinh(x) + 4a b cosh(x)sinh(x) +--R + +--R 2 2 2 +--R (6a b cosh(x) + 2a b + 4a )sinh(x) +--R + +--R 3 2 4 +--R (4a b cosh(x) + (4a b + 8a )cosh(x))sinh(x) + a b cosh(x) +--R + +--R 2 2 +--R (2a b + 4a )cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 4 2 3 +--R (- b - a b)sinh(x) + (- 4b - 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 2 +--R ((- 6b - 6a b)cosh(x) - 2b - 6a b - 4a )sinh(x) +--R + +--R 2 3 2 2 +--R ((- 4b - 4a b)cosh(x) + (- 4b - 12a b - 8a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (- b - a b)cosh(x) + (- 2b - 6a b - 4a )cosh(x) - b - a b +--R Type: Expression Integer +--E 437 + +--S 438 of 552 +t0779:= cosh(x)^3/(a+b*cosh(x)^2) +--R +--R +--R 3 +--R cosh(x) +--R (430) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 438 + +--S 439 of 552 +r0779:= -a*atan(b^(1/2)*sinh(x)/(a+b)^(1/2))/b^(3/2)/(a+b)^(1/2)+sinh(x)/b +--R +--R +--R +-+ +--R sinh(x)\|b +-+ +-----+ +--R - a atan(-----------) + sinh(x)\|b \|b + a +--R +-----+ +--R \|b + a +--R (431) ------------------------------------------- +--R +-+ +-----+ +--R b\|b \|b + a +--R Type: Expression Integer +--E 439 + +--S 440 of 552 +a0779:= integrate(t0779,x) +--R +--R +--R (432) +--R [ +--R (a sinh(x) + a cosh(x)) +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 6b - 4a)cosh(x) + b +--R * +--R +----------+ +--R | 2 +--R \|- b - a b +--R + +--R 2 3 2 2 +--R (- 4b - 4a b)sinh(x) + (- 12b - 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((- 12b - 12a b)cosh(x) + 4b + 4a b)sinh(x) +--R + +--R 2 3 2 +--R (- 4b - 4a b)cosh(x) + (4b + 4a b)cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R +----------+ +--R 2 2 | 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|- b - a b +--R / +--R +----------+ +--R | 2 +--R (2b sinh(x) + 2b cosh(x))\|- b - a b +--R , +--R +--R +--------+ +--R | 2 +--R (sinh(x) + cosh(x))\|b + a b +--R (- 2a sinh(x) - 2a cosh(x))atan(------------------------------) +--R 2b + 2a +--R + +--R (- 2a sinh(x) - 2a cosh(x)) +--R * +--R atan +--R 3 2 +--R b sinh(x) + 3b cosh(x)sinh(x) +--R + +--R 2 3 +--R (3b cosh(x) + 3b + 4a)sinh(x) + b cosh(x) + (3b + 4a)cosh(x) +--R / +--R +--------+ +--R | 2 +--R 2\|b + a b +--R + +--R +--------+ +--R 2 2 | 2 +--R (sinh(x) + 2cosh(x)sinh(x) + cosh(x) - 1)\|b + a b +--R / +--R +--------+ +--R | 2 +--R (2b sinh(x) + 2b cosh(x))\|b + a b +--R ] +--R Type: Union(List Expression Integer,...) +--E 440 + +--S 441 of 552 +m0779a:= a0779.1-r0779 +--R +--R +--R (433) +--R +-+ +-----+ +--R (a sinh(x) + a cosh(x))\|b \|b + a +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 6b - 4a)cosh(x) + b +--R * +--R +----------+ +--R | 2 +--R \|- b - a b +--R + +--R 2 3 2 2 +--R (- 4b - 4a b)sinh(x) + (- 12b - 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((- 12b - 12a b)cosh(x) + 4b + 4a b)sinh(x) +--R + +--R 2 3 2 +--R (- 4b - 4a b)cosh(x) + (4b + 4a b)cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R +----------+ +-+ +--R | 2 sinh(x)\|b +--R (2a sinh(x) + 2a cosh(x))\|- b - a b atan(-----------) +--R +-----+ +--R \|b + a +--R + +--R +----------+ +--R 2 2 | 2 +-+ +-----+ +--R (- sinh(x) + cosh(x) - 1)\|- b - a b \|b \|b + a +--R / +--R +----------+ +--R | 2 +-+ +-----+ +--R (2b sinh(x) + 2b cosh(x))\|- b - a b \|b \|b + a +--R Type: Expression Integer +--E 441 + +--S 442 of 552 +d0779a:= D(m0779a,x) +--R +--R +--R (434) +--R 8 7 2 6 +--R b sinh(x) + 4b cosh(x)sinh(x) + (5b cosh(x) + 4b + a)sinh(x) +--R + +--R 5 +--R (12b - 2a)cosh(x)sinh(x) +--R + +--R 4 2 4 +--R (- 5b cosh(x) + (11b - 9a)cosh(x) + 6b + 3a)sinh(x) +--R + +--R 5 3 3 +--R (- 4b cosh(x) - 4a cosh(x) + (12b + 4a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (- b cosh(x) + (- 6b + 7a)cosh(x) + (7b - 6a)cosh(x) + 4b + 3a) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 +--R ((- 4b + 6a)cosh(x) - 12a cosh(x) + (4b + 6a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (- b + a)cosh(x) + (- b - 5a)cosh(x) + (b + 3a)cosh(x) + b + a +--R / +--R 2 7 2 6 2 2 2 5 +--R 2b sinh(x) + 10b cosh(x)sinh(x) + (20b cosh(x) + 6b + 10a b)sinh(x) +--R + +--R 2 3 2 4 +--R (20b cosh(x) + (22b + 34a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 3 +--R (10b cosh(x) + (32b + 44a b)cosh(x) + 6b + 12a b + 8a )sinh(x) +--R + +--R 2 5 2 3 2 2 +--R (2b cosh(x) + (24b + 28a b)cosh(x) + (14b + 36a b + 24a )cosh(x)) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 2 2 2 2 +--R ((10b + 10a b)cosh(x) + (12b + 36a b + 24a )cosh(x) + 2b + 2a b) +--R * +--R sinh(x) +--R + +--R 2 5 2 2 3 2 +--R (2b + 2a b)cosh(x) + (4b + 12a b + 8a )cosh(x) + (2b + 2a b)cosh(x) +--R Type: Expression Integer +--E 442 + +--S 443 of 552 +m0779b:= a0779.2-r0779 +--R +--R +--R (435) +--R +-+ +-----+ +--R (- 2a sinh(x) - 2a cosh(x))\|b \|b + a +--R * +--R +--------+ +--R | 2 +--R (sinh(x) + cosh(x))\|b + a b +--R atan(------------------------------) +--R 2b + 2a +--R + +--R +--------+ +-+ +--R | 2 sinh(x)\|b +--R (2a sinh(x) + 2a cosh(x))\|b + a b atan(-----------) +--R +-----+ +--R \|b + a +--R + +--R +-+ +-----+ +--R (- 2a sinh(x) - 2a cosh(x))\|b \|b + a +--R * +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) + 3b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (3b + 4a)cosh(x) +--R / +--R +--------+ +--R | 2 +--R 2\|b + a b +--R + +--R +--------+ +--R 2 2 +-+ +-----+ | 2 +--R (- sinh(x) + cosh(x) - 1)\|b \|b + a \|b + a b +--R / +--R +--------+ +--R +-+ +-----+ | 2 +--R (2b sinh(x) + 2b cosh(x))\|b \|b + a \|b + a b +--R Type: Expression Integer +--E 443 + +--S 444 of 552 +d0779b:= D(m0779b,x) +--R +--R +--R (436) +--R 8 7 2 6 +--R b sinh(x) + 4b cosh(x)sinh(x) + (5b cosh(x) + 4b + a)sinh(x) +--R + +--R 5 +--R (12b - 2a)cosh(x)sinh(x) +--R + +--R 4 2 4 +--R (- 5b cosh(x) + (11b - 9a)cosh(x) + 6b + 3a)sinh(x) +--R + +--R 5 3 3 +--R (- 4b cosh(x) - 4a cosh(x) + (12b + 4a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (- b cosh(x) + (- 6b + 7a)cosh(x) + (7b - 6a)cosh(x) + 4b + 3a) +--R * +--R 2 +--R sinh(x) +--R + +--R 5 3 +--R ((- 4b + 6a)cosh(x) - 12a cosh(x) + (4b + 6a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R (- b + a)cosh(x) + (- b - 5a)cosh(x) + (b + 3a)cosh(x) + b + a +--R / +--R 2 7 2 6 2 2 2 5 +--R 2b sinh(x) + 10b cosh(x)sinh(x) + (20b cosh(x) + 6b + 10a b)sinh(x) +--R + +--R 2 3 2 4 +--R (20b cosh(x) + (22b + 34a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 3 +--R (10b cosh(x) + (32b + 44a b)cosh(x) + 6b + 12a b + 8a )sinh(x) +--R + +--R 2 5 2 3 2 2 +--R (2b cosh(x) + (24b + 28a b)cosh(x) + (14b + 36a b + 24a )cosh(x)) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 4 2 2 2 2 +--R ((10b + 10a b)cosh(x) + (12b + 36a b + 24a )cosh(x) + 2b + 2a b) +--R * +--R sinh(x) +--R + +--R 2 5 2 2 3 2 +--R (2b + 2a b)cosh(x) + (4b + 12a b + 8a )cosh(x) + (2b + 2a b)cosh(x) +--R Type: Expression Integer +--E 444 + +--S 445 of 552 +t0780:= cosh(x)^4/(a+b*cosh(x)^2) +--R +--R +--R 4 +--R cosh(x) +--R (437) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 445 + +--S 446 of 552 +r0780:= -a*x/b^2+1/2*x/b+a^(3/2)*atanh(a^(1/2)*_ + tanh(x)/(a+b)^(1/2))/b^2/(a+b)^(1/2)+1/2*cosh(x)*sinh(x)/b +--R +--R +--R +-+ +--R +-+ tanh(x)\|a +-----+ +--R 2a\|a atanh(-----------) + (b cosh(x)sinh(x) + (b - 2a)x)\|b + a +--R +-----+ +--R \|b + a +--R (438) ----------------------------------------------------------------- +--R 2 +-----+ +--R 2b \|b + a +--R Type: Expression Integer +--E 446 + +--S 447 of 552 +a0780:= integrate(t0780,x) +--R +--R +--R (439) +--R [ +--R +-----+ +--R 2 2 | a +--R (4a sinh(x) + 8a cosh(x)sinh(x) + 4a cosh(x) ) |----- +--R \|b + a +--R * +--R log +--R 2 2 2 +--R (- 4b - 4a b)sinh(x) + (- 8b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 4b - 4a b)cosh(x) - 4b - 12a b - 8a +--R * +--R +-----+ +--R | a +--R |----- +--R \|b + a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + (4b - 8a)x)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (8b - 16a)x cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (4b - 8a)x cosh(x) - b +--R / +--R 2 2 2 2 2 +--R 8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) +--R , +--R +--R +-------+ +--R 2 2 | a +--R (8a sinh(x) + 16a cosh(x)sinh(x) + 8a cosh(x) ) |- ----- +--R \| b + a +--R * +--R +-------+ +--R | a +--R (2b + 2a) |- ----- +--R \| b + a +--R atan(----------------------------------------------------) +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R 4 3 2 2 +--R b sinh(x) + 4b cosh(x)sinh(x) + (6b cosh(x) + (4b - 8a)x)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (8b - 16a)x cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (4b - 8a)x cosh(x) - b +--R / +--R 2 2 2 2 2 +--R 8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) +--R ] +--R Type: Union(List Expression Integer,...) +--E 447 + +--S 448 of 552 +m0780a:= a0780.1-r0780 +--R +--R +--R (440) +--R +-----+ +--R 2 2 | a +-----+ +--R (4a sinh(x) + 8a cosh(x)sinh(x) + 4a cosh(x) ) |----- \|b + a +--R \|b + a +--R * +--R log +--R 2 2 2 +--R (- 4b - 4a b)sinh(x) + (- 8b - 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (- 4b - 4a b)cosh(x) - 4b - 12a b - 8a +--R * +--R +-----+ +--R | a +--R |----- +--R \|b + a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R +-+ +--R 2 2 +-+ tanh(x)\|a +--R (- 8a sinh(x) - 16a cosh(x)sinh(x) - 8a cosh(x) )\|a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 4 2 2 4 +-----+ +--R (b sinh(x) - 2b cosh(x) sinh(x) + b cosh(x) - b)\|b + a +--R / +--R 2 2 2 2 2 +-----+ +--R (8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) )\|b + a +--R Type: Expression Integer +--E 448 + +--S 449 of 552 +d0780a:= D(m0780a,x) +--R +--R +--R (441) +--R 8 7 +--R - a b sinh(x) - 4a b cosh(x)sinh(x) +--R + +--R 2 2 6 +--R (- 4a b cosh(x) - 2a b - 8a )sinh(x) +--R + +--R 3 2 5 +--R (4a b cosh(x) + (- 4a b - 32a )cosh(x))sinh(x) +--R + +--R 4 2 2 2 4 +--R (10a b cosh(x) + (2a b - 56a )cosh(x) - 8a )sinh(x) +--R + +--R 5 2 3 2 +--R (4a b cosh(x) + (8a b - 64a )cosh(x) + (4a b - 32a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 2 2 +--R - 4a b cosh(x) + (2a b - 56a )cosh(x) + (8a b - 48a )cosh(x) +--R + +--R 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 5 2 3 +--R - 4a b cosh(x) + (- 4a b - 32a )cosh(x) + (4a b - 32a )cosh(x) +--R + +--R 4a b cosh(x) +--R * +--R sinh(x) +--R + +--R 8 2 6 2 4 2 +--R - a b cosh(x) + (- 2a b - 8a )cosh(x) - 8a cosh(x) + 2a b cosh(x) +--R + +--R a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 8 2 7 +--R (b + a b)sinh(x) + (4b + 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((4b + 4a b)cosh(x) + 2b + 6a b + 8a )sinh(x) +--R + +--R 2 3 2 2 5 +--R ((- 4b - 4a b)cosh(x) + (4b + 12a b + 32a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 4 +--R ((- 10b - 10a b)cosh(x) + (- 2b - 6a b + 56a )cosh(x) - 8a )sinh(x) +--R + +--R 2 5 2 2 3 +--R (- 4b - 4a b)cosh(x) + (- 8b - 24a b + 64a )cosh(x) +--R + +--R 2 2 +--R (- 4b - 4a b - 32a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (4b + 4a b)cosh(x) + (- 2b - 6a b + 56a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 8b - 8a b - 48a )cosh(x) - 2b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R (4b + 4a b)cosh(x) + (4b + 12a b + 32a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 4b - 4a b - 32a )cosh(x) + (- 4b - 12a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 2 6 2 4 +--R (b + a b)cosh(x) + (2b + 6a b + 8a )cosh(x) - 8a cosh(x) +--R + +--R 2 2 2 +--R (- 2b - 6a b)cosh(x) - b - a b +--R / +--R 2 6 2 5 +--R 4a b sinh(x) + 24a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R (60a b cosh(x) + 8a b + 16a b)sinh(x) +--R + +--R 2 3 2 2 3 +--R (80a b cosh(x) + (32a b + 64a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 2 +--R (60a b cosh(x) + (48a b + 96a b)cosh(x) + 4a b )sinh(x) +--R + +--R 2 5 2 2 3 2 +--R (24a b cosh(x) + (32a b + 64a b)cosh(x) + 8a b cosh(x))sinh(x) +--R + +--R 2 6 2 2 4 2 2 +--R 4a b cosh(x) + (8a b + 16a b)cosh(x) + 4a b cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 6 3 2 5 +--R (- 4b - 4a b )sinh(x) + (- 24b - 24a b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 4 +--R ((- 60b - 60a b )cosh(x) - 8b - 24a b - 16a b)sinh(x) +--R + +--R 3 2 3 3 2 2 3 +--R ((- 80b - 80a b )cosh(x) + (- 32b - 96a b - 64a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 2 3 +--R (- 60b - 60a b )cosh(x) + (- 48b - 144a b - 96a b)cosh(x) - 4b +--R + +--R 2 +--R - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (- 24b - 24a b )cosh(x) + (- 32b - 96a b - 64a b)cosh(x) +--R + +--R 3 2 +--R (- 8b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (- 4b - 4a b )cosh(x) + (- 8b - 24a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (- 4b - 4a b )cosh(x) +--R Type: Expression Integer +--E 449 + +--S 450 of 552 +m0780b:= a0780.2-r0780 +--R +--R +--R (442) +--R +-+ +--R 2 2 +-+ tanh(x)\|a +--R (- 8a sinh(x) - 16a cosh(x)sinh(x) - 8a cosh(x) )\|a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R +-------+ +--R 2 2 | a +-----+ +--R (8a sinh(x) + 16a cosh(x)sinh(x) + 8a cosh(x) ) |- ----- \|b + a +--R \| b + a +--R * +--R +-------+ +--R | a +--R (2b + 2a) |- ----- +--R \| b + a +--R atan(----------------------------------------------------) +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R 4 2 2 4 +-----+ +--R (b sinh(x) - 2b cosh(x) sinh(x) + b cosh(x) - b)\|b + a +--R / +--R 2 2 2 2 2 +-----+ +--R (8b sinh(x) + 16b cosh(x)sinh(x) + 8b cosh(x) )\|b + a +--R Type: Expression Integer +--E 450 + +--S 451 of 552 +d0780b:= D(m0780b,x) +--R +--R +--R (443) +--R 8 7 +--R - a b sinh(x) - 4a b cosh(x)sinh(x) +--R + +--R 2 2 6 +--R (- 4a b cosh(x) - 2a b - 8a )sinh(x) +--R + +--R 3 2 5 +--R (4a b cosh(x) + (- 4a b - 32a )cosh(x))sinh(x) +--R + +--R 4 2 2 2 4 +--R (10a b cosh(x) + (2a b - 56a )cosh(x) - 8a )sinh(x) +--R + +--R 5 2 3 2 +--R (4a b cosh(x) + (8a b - 64a )cosh(x) + (4a b - 32a )cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 6 2 4 2 2 +--R - 4a b cosh(x) + (2a b - 56a )cosh(x) + (8a b - 48a )cosh(x) +--R + +--R 2a b +--R * +--R 2 +--R sinh(x) +--R + +--R 7 2 5 2 3 +--R - 4a b cosh(x) + (- 4a b - 32a )cosh(x) + (4a b - 32a )cosh(x) +--R + +--R 4a b cosh(x) +--R * +--R sinh(x) +--R + +--R 8 2 6 2 4 2 +--R - a b cosh(x) + (- 2a b - 8a )cosh(x) - 8a cosh(x) + 2a b cosh(x) +--R + +--R a b +--R * +--R 2 +--R tanh(x) +--R + +--R 2 8 2 7 +--R (b + a b)sinh(x) + (4b + 4a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 6 +--R ((4b + 4a b)cosh(x) + 2b + 6a b + 8a )sinh(x) +--R + +--R 2 3 2 2 5 +--R ((- 4b - 4a b)cosh(x) + (4b + 12a b + 32a )cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 4 +--R ((- 10b - 10a b)cosh(x) + (- 2b - 6a b + 56a )cosh(x) - 8a )sinh(x) +--R + +--R 2 5 2 2 3 +--R (- 4b - 4a b)cosh(x) + (- 8b - 24a b + 64a )cosh(x) +--R + +--R 2 2 +--R (- 4b - 4a b - 32a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (4b + 4a b)cosh(x) + (- 2b - 6a b + 56a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 8b - 8a b - 48a )cosh(x) - 2b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R (4b + 4a b)cosh(x) + (4b + 12a b + 32a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 4b - 4a b - 32a )cosh(x) + (- 4b - 12a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 2 6 2 4 +--R (b + a b)cosh(x) + (2b + 6a b + 8a )cosh(x) - 8a cosh(x) +--R + +--R 2 2 2 +--R (- 2b - 6a b)cosh(x) - b - a b +--R / +--R 2 6 2 5 +--R 4a b sinh(x) + 24a b cosh(x)sinh(x) +--R + +--R 2 2 2 2 4 +--R (60a b cosh(x) + 8a b + 16a b)sinh(x) +--R + +--R 2 3 2 2 3 +--R (80a b cosh(x) + (32a b + 64a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 2 +--R (60a b cosh(x) + (48a b + 96a b)cosh(x) + 4a b )sinh(x) +--R + +--R 2 5 2 2 3 2 +--R (24a b cosh(x) + (32a b + 64a b)cosh(x) + 8a b cosh(x))sinh(x) +--R + +--R 2 6 2 2 4 2 2 +--R 4a b cosh(x) + (8a b + 16a b)cosh(x) + 4a b cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 6 3 2 5 +--R (- 4b - 4a b )sinh(x) + (- 24b - 24a b )cosh(x)sinh(x) +--R + +--R 3 2 2 3 2 2 4 +--R ((- 60b - 60a b )cosh(x) - 8b - 24a b - 16a b)sinh(x) +--R + +--R 3 2 3 3 2 2 3 +--R ((- 80b - 80a b )cosh(x) + (- 32b - 96a b - 64a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 2 3 +--R (- 60b - 60a b )cosh(x) + (- 48b - 144a b - 96a b)cosh(x) - 4b +--R + +--R 2 +--R - 4a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (- 24b - 24a b )cosh(x) + (- 32b - 96a b - 64a b)cosh(x) +--R + +--R 3 2 +--R (- 8b - 8a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (- 4b - 4a b )cosh(x) + (- 8b - 24a b - 16a b)cosh(x) +--R + +--R 3 2 2 +--R (- 4b - 4a b )cosh(x) +--R Type: Expression Integer +--E 451 + +--S 452 of 552 +t0781:= cosh(x)^5/(a+b*cosh(x)^2) +--R +--R +--R 5 +--R cosh(x) +--R (444) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 452 + +--S 453 of 552 +r0781:= a^2*atan(b^(1/2)*sinh(x)/(a+b)^(1/2))/b^(5/2)/(a+b)^(1/2)-_ + a*sinh(x)/b^2+sinh(x)/b+1/3*sinh(x)^3/b +--R +--R +--R +-+ +--R 2 sinh(x)\|b 3 +-+ +-----+ +--R 3a atan(-----------) + (b sinh(x) + (3b - 3a)sinh(x))\|b \|b + a +--R +-----+ +--R \|b + a +--R (445) ------------------------------------------------------------------ +--R 2 +-+ +-----+ +--R 3b \|b \|b + a +--R Type: Expression Integer +--E 453 + +--S 454 of 552 +a0781:= integrate(t0781,x) +--R +--R +--R (446) +--R [ +--R 2 3 2 2 2 2 +--R 12a sinh(x) + 36a cosh(x)sinh(x) + 36a cosh(x) sinh(x) +--R + +--R 2 3 +--R 12a cosh(x) +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 6b - 4a)cosh(x) + b +--R * +--R +----------+ +--R | 2 +--R \|- b - a b +--R + +--R 2 3 2 2 +--R (4b + 4a b)sinh(x) + (12b + 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((12b + 12a b)cosh(x) - 4b - 4a b)sinh(x) +--R + +--R 2 3 2 +--R (4b + 4a b)cosh(x) + (- 4b - 4a b)cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 6 5 2 4 +--R b sinh(x) + 6b cosh(x)sinh(x) + (15b cosh(x) + 9b - 12a)sinh(x) +--R + +--R 3 3 +--R (20b cosh(x) + (36b - 48a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (15b cosh(x) + (54b - 72a)cosh(x) - 9b + 12a)sinh(x) +--R + +--R 5 3 +--R (6b cosh(x) + (36b - 48a)cosh(x) + (- 18b + 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R b cosh(x) + (9b - 12a)cosh(x) + (- 9b + 12a)cosh(x) - b +--R * +--R +----------+ +--R | 2 +--R \|- b - a b +--R / +--R 2 3 2 2 2 2 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) +--R + +--R 2 3 +--R 24b cosh(x) +--R * +--R +----------+ +--R | 2 +--R \|- b - a b +--R , +--R +--R 2 3 2 2 2 2 +--R 24a sinh(x) + 72a cosh(x)sinh(x) + 72a cosh(x) sinh(x) +--R + +--R 2 3 +--R 24a cosh(x) +--R * +--R +--------+ +--R | 2 +--R (sinh(x) + cosh(x))\|b + a b +--R atan(------------------------------) +--R 2b + 2a +--R + +--R 2 3 2 2 2 2 +--R 24a sinh(x) + 72a cosh(x)sinh(x) + 72a cosh(x) sinh(x) +--R + +--R 2 3 +--R 24a cosh(x) +--R * +--R atan +--R 3 2 +--R b sinh(x) + 3b cosh(x)sinh(x) +--R + +--R 2 3 +--R (3b cosh(x) + 3b + 4a)sinh(x) + b cosh(x) + (3b + 4a)cosh(x) +--R / +--R +--------+ +--R | 2 +--R 2\|b + a b +--R + +--R 6 5 2 4 +--R b sinh(x) + 6b cosh(x)sinh(x) + (15b cosh(x) + 9b - 12a)sinh(x) +--R + +--R 3 3 +--R (20b cosh(x) + (36b - 48a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (15b cosh(x) + (54b - 72a)cosh(x) - 9b + 12a)sinh(x) +--R + +--R 5 3 +--R (6b cosh(x) + (36b - 48a)cosh(x) + (- 18b + 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R b cosh(x) + (9b - 12a)cosh(x) + (- 9b + 12a)cosh(x) - b +--R * +--R +--------+ +--R | 2 +--R \|b + a b +--R / +--R 2 3 2 2 2 2 +--R 24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) +--R + +--R 2 3 +--R 24b cosh(x) +--R * +--R +--------+ +--R | 2 +--R \|b + a b +--R ] +--R Type: Union(List Expression Integer,...) +--E 454 + +--S 455 of 552 +m0781a:= a0781.1-r0781 +--R +--R +--R (447) +--R 2 3 2 2 2 2 +--R 12a sinh(x) + 36a cosh(x)sinh(x) + 36a cosh(x) sinh(x) +--R + +--R 2 3 +--R 12a cosh(x) +--R * +--R +-+ +-----+ +--R \|b \|b + a +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 6b - 4a)cosh(x) + b +--R * +--R +----------+ +--R | 2 +--R \|- b - a b +--R + +--R 2 3 2 2 +--R (4b + 4a b)sinh(x) + (12b + 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((12b + 12a b)cosh(x) - 4b - 4a b)sinh(x) +--R + +--R 2 3 2 +--R (4b + 4a b)cosh(x) + (- 4b - 4a b)cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2 3 2 2 2 2 +--R - 24a sinh(x) - 72a cosh(x)sinh(x) - 72a cosh(x) sinh(x) +--R + +--R 2 3 +--R - 24a cosh(x) +--R * +--R +----------+ +-+ +--R | 2 sinh(x)\|b +--R \|- b - a b atan(-----------) +--R +-----+ +--R \|b + a +--R + +--R 6 5 +--R - 7b sinh(x) - 18b cosh(x)sinh(x) +--R + +--R 2 4 +--R (- 9b cosh(x) - 15b + 12a)sinh(x) +--R + +--R 3 3 +--R (12b cosh(x) + (- 36b + 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (15b cosh(x) - 18b cosh(x) - 9b + 12a)sinh(x) +--R + +--R 5 3 +--R (6b cosh(x) + (12b - 24a)cosh(x) + (- 18b + 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R b cosh(x) + (9b - 12a)cosh(x) + (- 9b + 12a)cosh(x) - b +--R * +--R +----------+ +--R | 2 +-+ +-----+ +--R \|- b - a b \|b \|b + a +--R / +--R 2 3 2 2 2 2 2 3 +--R (24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) ) +--R * +--R +----------+ +--R | 2 +-+ +-----+ +--R \|- b - a b \|b \|b + a +--R Type: Expression Integer +--E 455 + +--S 456 of 552 +d0781a:= D(m0781a,x) +--R +--R +--R (448) +--R 12 11 2 10 +--R b sinh(x) + 2b cosh(x)sinh(x) + (- 11b cosh(x) + 6b + a)sinh(x) +--R + +--R 3 9 +--R (- 48b cosh(x) + (18b - 22a)cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (- 70b cosh(x) + (- 7b - 115a)cosh(x) + 15b + 5a)sinh(x) +--R + +--R 5 3 7 +--R (- 28b cosh(x) + (- 96b - 200a)cosh(x) + (52b - 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R 42b cosh(x) + (- 160b - 110a)cosh(x) + (50b - 180a)cosh(x) + 20b +--R + +--R 10a +--R * +--R 6 +--R sinh(x) +--R + +--R 7 5 3 +--R 64b cosh(x) + (- 108b + 92a)cosh(x) + (- 32b - 360a)cosh(x) +--R + +--R (68b + 28a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 8 6 4 +--R 37b cosh(x) + (- 2b + 178a)cosh(x) + (- 108b - 290a)cosh(x) +--R + +--R 2 +--R (82b - 10a)cosh(x) + 15b + 10a +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 +--R 10b cosh(x) + (48b + 120a)cosh(x) + (- 100b - 40a)cosh(x) +--R + +--R 3 +--R (32b - 120a)cosh(x) + (42b + 40a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 +--R b cosh(x) + (34b + 45a)cosh(x) + (- 50b + 76a)cosh(x) +--R + +--R 4 2 +--R (- 16b - 170a)cosh(x) + (41b + 60a)cosh(x) + 6b + 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 9 7 5 +--R (10b + 10a)cosh(x) + (- 16b + 40a)cosh(x) + (- 20b - 100a)cosh(x) +--R + +--R 3 +--R (16b + 40a)cosh(x) + (10b + 10a)cosh(x) +--R * +--R sinh(x) +--R + +--R 10 8 6 +--R (b + a)cosh(x) + (- 3b + 5a)cosh(x) + (- 6b - 22a)cosh(x) +--R + +--R 4 2 +--R (2b + 10a)cosh(x) + (5b + 5a)cosh(x) + b + a +--R / +--R 2 9 2 8 +--R 8b sinh(x) + 56b cosh(x)sinh(x) +--R + +--R 2 2 2 7 +--R (168b cosh(x) + 24b + 40a b)sinh(x) +--R + +--R 2 3 2 6 +--R (280b cosh(x) + (136b + 216a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 5 +--R (280b cosh(x) + (328b + 488a b)cosh(x) + 24b + 48a b + 32a )sinh(x) +--R + +--R 2 5 2 3 +--R 168b cosh(x) + (440b + 600a b)cosh(x) +--R + +--R 2 2 +--R (104b + 240a b + 160a )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 56b cosh(x) + (360b + 440a b)cosh(x) +--R + +--R 2 2 2 2 +--R (184b + 480a b + 320a )cosh(x) + 8b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 8b cosh(x) + (184b + 200a b)cosh(x) +--R + +--R 2 2 3 2 +--R (168b + 480a b + 320a )cosh(x) + (24b + 24a b)cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (56b + 56a b)cosh(x) + (80b + 240a b + 160a )cosh(x) +--R + +--R 2 2 +--R (24b + 24a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 7 2 2 5 2 3 +--R (8b + 8a b)cosh(x) + (16b + 48a b + 32a )cosh(x) + (8b + 8a b)cosh(x) +--R Type: Expression Integer +--E 456 + +--S 457 of 552 +m0781b:= a0781.2-r0781 +--R +--R +--R (449) +--R 2 3 2 2 2 2 +--R 24a sinh(x) + 72a cosh(x)sinh(x) + 72a cosh(x) sinh(x) +--R + +--R 2 3 +--R 24a cosh(x) +--R * +--R +--------+ +--R | 2 +--R +-+ +-----+ (sinh(x) + cosh(x))\|b + a b +--R \|b \|b + a atan(------------------------------) +--R 2b + 2a +--R + +--R 2 3 2 2 2 2 +--R - 24a sinh(x) - 72a cosh(x)sinh(x) - 72a cosh(x) sinh(x) +--R + +--R 2 3 +--R - 24a cosh(x) +--R * +--R +--------+ +-+ +--R | 2 sinh(x)\|b +--R \|b + a b atan(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 3 2 2 2 2 +--R 24a sinh(x) + 72a cosh(x)sinh(x) + 72a cosh(x) sinh(x) +--R + +--R 2 3 +--R 24a cosh(x) +--R * +--R +-+ +-----+ +--R \|b \|b + a +--R * +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) + 3b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (3b + 4a)cosh(x) +--R / +--R +--------+ +--R | 2 +--R 2\|b + a b +--R + +--R 6 5 +--R - 7b sinh(x) - 18b cosh(x)sinh(x) +--R + +--R 2 4 +--R (- 9b cosh(x) - 15b + 12a)sinh(x) +--R + +--R 3 3 +--R (12b cosh(x) + (- 36b + 24a)cosh(x))sinh(x) +--R + +--R 4 2 2 +--R (15b cosh(x) - 18b cosh(x) - 9b + 12a)sinh(x) +--R + +--R 5 3 +--R (6b cosh(x) + (12b - 24a)cosh(x) + (- 18b + 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R b cosh(x) + (9b - 12a)cosh(x) + (- 9b + 12a)cosh(x) - b +--R * +--R +--------+ +--R +-+ +-----+ | 2 +--R \|b \|b + a \|b + a b +--R / +--R 2 3 2 2 2 2 2 3 +--R (24b sinh(x) + 72b cosh(x)sinh(x) + 72b cosh(x) sinh(x) + 24b cosh(x) ) +--R * +--R +--------+ +--R +-+ +-----+ | 2 +--R \|b \|b + a \|b + a b +--R Type: Expression Integer +--E 457 + +--S 458 of 552 +d0781b:= D(m0781b,x) +--R +--R +--R (450) +--R 12 11 2 10 +--R b sinh(x) + 2b cosh(x)sinh(x) + (- 11b cosh(x) + 6b + a)sinh(x) +--R + +--R 3 9 +--R (- 48b cosh(x) + (18b - 22a)cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (- 70b cosh(x) + (- 7b - 115a)cosh(x) + 15b + 5a)sinh(x) +--R + +--R 5 3 7 +--R (- 28b cosh(x) + (- 96b - 200a)cosh(x) + (52b - 24a)cosh(x))sinh(x) +--R + +--R 6 4 2 +--R 42b cosh(x) + (- 160b - 110a)cosh(x) + (50b - 180a)cosh(x) + 20b +--R + +--R 10a +--R * +--R 6 +--R sinh(x) +--R + +--R 7 5 3 +--R 64b cosh(x) + (- 108b + 92a)cosh(x) + (- 32b - 360a)cosh(x) +--R + +--R (68b + 28a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 8 6 4 +--R 37b cosh(x) + (- 2b + 178a)cosh(x) + (- 108b - 290a)cosh(x) +--R + +--R 2 +--R (82b - 10a)cosh(x) + 15b + 10a +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 +--R 10b cosh(x) + (48b + 120a)cosh(x) + (- 100b - 40a)cosh(x) +--R + +--R 3 +--R (32b - 120a)cosh(x) + (42b + 40a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 +--R b cosh(x) + (34b + 45a)cosh(x) + (- 50b + 76a)cosh(x) +--R + +--R 4 2 +--R (- 16b - 170a)cosh(x) + (41b + 60a)cosh(x) + 6b + 5a +--R * +--R 2 +--R sinh(x) +--R + +--R 9 7 5 +--R (10b + 10a)cosh(x) + (- 16b + 40a)cosh(x) + (- 20b - 100a)cosh(x) +--R + +--R 3 +--R (16b + 40a)cosh(x) + (10b + 10a)cosh(x) +--R * +--R sinh(x) +--R + +--R 10 8 6 +--R (b + a)cosh(x) + (- 3b + 5a)cosh(x) + (- 6b - 22a)cosh(x) +--R + +--R 4 2 +--R (2b + 10a)cosh(x) + (5b + 5a)cosh(x) + b + a +--R / +--R 2 9 2 8 +--R 8b sinh(x) + 56b cosh(x)sinh(x) +--R + +--R 2 2 2 7 +--R (168b cosh(x) + 24b + 40a b)sinh(x) +--R + +--R 2 3 2 6 +--R (280b cosh(x) + (136b + 216a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 5 +--R (280b cosh(x) + (328b + 488a b)cosh(x) + 24b + 48a b + 32a )sinh(x) +--R + +--R 2 5 2 3 +--R 168b cosh(x) + (440b + 600a b)cosh(x) +--R + +--R 2 2 +--R (104b + 240a b + 160a )cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 56b cosh(x) + (360b + 440a b)cosh(x) +--R + +--R 2 2 2 2 +--R (184b + 480a b + 320a )cosh(x) + 8b + 8a b +--R * +--R 3 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 8b cosh(x) + (184b + 200a b)cosh(x) +--R + +--R 2 2 3 2 +--R (168b + 480a b + 320a )cosh(x) + (24b + 24a b)cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R (56b + 56a b)cosh(x) + (80b + 240a b + 160a )cosh(x) +--R + +--R 2 2 +--R (24b + 24a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 7 2 2 5 2 3 +--R (8b + 8a b)cosh(x) + (16b + 48a b + 32a )cosh(x) + (8b + 8a b)cosh(x) +--R Type: Expression Integer +--E 458 + +--S 459 of 552 +t0782:= cosh(x)^6/(a+b*cosh(x)^2) +--R +--R +--R 6 +--R cosh(x) +--R (451) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 459 + +--S 460 of 552 +r0782:= a^2*x/b^3-1/2*a*x/b^2+3/8*x/b-a^(5/2)*atanh(a^(1/2)*_ + tanh(x)/(a+b)^(1/2))/b^3/(a+b)^(1/2)-_ + 1/2*a*cosh(x)*sinh(x)/b^2+3/8*cosh(x)*sinh(x)/b+_ + 1/4*cosh(x)^3*sinh(x)/b +--R +--R +--R (452) +--R +-+ +--R 2 +-+ tanh(x)\|a +--R - 8a \|a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 3 2 2 2 +-----+ +--R ((2b cosh(x) + (3b - 4a b)cosh(x))sinh(x) + (3b - 4a b + 8a )x)\|b + a +--R / +--R 3 +-----+ +--R 8b \|b + a +--R Type: Expression Integer +--E 460 + +--S 461 of 552 +a0782:= integrate(t0782,x) +--R +--R +--R (453) +--R [ +--R 2 4 2 3 2 2 2 +--R 32a sinh(x) + 128a cosh(x)sinh(x) + 192a cosh(x) sinh(x) +--R + +--R 2 3 2 4 +--R 128a cosh(x) sinh(x) + 32a cosh(x) +--R * +--R +-----+ +--R | a +--R |----- +--R \|b + a +--R * +--R log +--R 2 2 2 +--R (4b + 4a b)sinh(x) + (8b + 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (4b + 4a b)cosh(x) + 4b + 12a b + 8a +--R * +--R +-----+ +--R | a +--R |----- +--R \|b + a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2 8 2 7 2 2 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) + 8b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (56b cosh(x) + (48b - 48a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (70b cosh(x) + (120b - 120a b)cosh(x) + (24b - 32a b + 64a )x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 56b cosh(x) + (160b - 160a b)cosh(x) +--R + +--R 2 2 +--R (96b - 128a b + 256a )x cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 28b cosh(x) + (120b - 120a b)cosh(x) +--R + +--R 2 2 2 2 +--R (144b - 192a b + 384a )x cosh(x) - 8b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 8b cosh(x) + (48b - 48a b)cosh(x) +--R + +--R 2 2 3 2 +--R (96b - 128a b + 256a )x cosh(x) + (- 16b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 4 +--R b cosh(x) + (8b - 8a b)cosh(x) + (24b - 32a b + 64a )x cosh(x) +--R + +--R 2 2 2 +--R (- 8b + 8a b)cosh(x) - b +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R , +--R +--R 2 4 2 3 2 2 2 +--R - 64a sinh(x) - 256a cosh(x)sinh(x) - 384a cosh(x) sinh(x) +--R + +--R 2 3 2 4 +--R - 256a cosh(x) sinh(x) - 64a cosh(x) +--R * +--R +-------+ +--R | a +--R +-------+ (2b + 2a) |- ----- +--R | a \| b + a +--R |- ----- atan(----------------------------------------------------) +--R \| b + a 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R 2 8 2 7 2 2 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) + 8b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (56b cosh(x) + (48b - 48a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (70b cosh(x) + (120b - 120a b)cosh(x) + (24b - 32a b + 64a )x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 56b cosh(x) + (160b - 160a b)cosh(x) +--R + +--R 2 2 +--R (96b - 128a b + 256a )x cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 28b cosh(x) + (120b - 120a b)cosh(x) +--R + +--R 2 2 2 2 +--R (144b - 192a b + 384a )x cosh(x) - 8b + 8a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 8b cosh(x) + (48b - 48a b)cosh(x) +--R + +--R 2 2 3 2 +--R (96b - 128a b + 256a )x cosh(x) + (- 16b + 16a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 4 +--R b cosh(x) + (8b - 8a b)cosh(x) + (24b - 32a b + 64a )x cosh(x) +--R + +--R 2 2 2 +--R (- 8b + 8a b)cosh(x) - b +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R ] +--R Type: Union(List Expression Integer,...) +--E 461 + +--S 462 of 552 +m0782a:= a0782.1-r0782 +--R +--R +--R (454) +--R 2 4 2 3 2 2 2 +--R 32a sinh(x) + 128a cosh(x)sinh(x) + 192a cosh(x) sinh(x) +--R + +--R 2 3 2 4 +--R 128a cosh(x) sinh(x) + 32a cosh(x) +--R * +--R +-----+ +--R | a +-----+ +--R |----- \|b + a +--R \|b + a +--R * +--R log +--R 2 2 2 +--R (4b + 4a b)sinh(x) + (8b + 8a b)cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (4b + 4a b)cosh(x) + 4b + 12a b + 8a +--R * +--R +-----+ +--R | a +--R |----- +--R \|b + a +--R + +--R 2 4 2 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 2 2 +--R (6b cosh(x) + 2b + 4a b)sinh(x) +--R + +--R 2 3 2 2 4 +--R (4b cosh(x) + (4b + 8a b)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 2 2 2 +--R (2b + 4a b)cosh(x) + b + 8a b + 8a +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2 4 2 3 2 2 2 +--R 64a sinh(x) + 256a cosh(x)sinh(x) + 384a cosh(x) sinh(x) +--R + +--R 2 3 2 4 +--R 256a cosh(x) sinh(x) + 64a cosh(x) +--R * +--R +-+ +--R +-+ tanh(x)\|a +--R \|a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 8 2 7 2 2 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) + 8b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (40b cosh(x) + (24b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 4 +--R (6b cosh(x) + (24b + 8a b)cosh(x) )sinh(x) +--R + +--R 2 5 2 3 3 +--R (- 40b cosh(x) + (16b + 32a b)cosh(x) )sinh(x) +--R + +--R 2 6 2 4 2 2 +--R (- 36b cosh(x) + (24b + 8a b)cosh(x) - 8b + 8a b)sinh(x) +--R + +--R 2 7 2 5 2 +--R (- 8b cosh(x) + (24b - 16a b)cosh(x) + (- 16b + 16a b)cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 2 +--R b cosh(x) + (8b - 8a b)cosh(x) + (- 8b + 8a b)cosh(x) - b +--R * +--R +-----+ +--R \|b + a +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R * +--R +-----+ +--R \|b + a +--R Type: Expression Integer +--E 462 + +--S 463 of 552 +d0782a:= D(m0782a,x) +--R +--R +--R (455) +--R 2 12 2 11 +--R a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 2 2 10 +--R (54a b cosh(x) + 8a b)sinh(x) +--R + +--R 2 3 2 2 9 +--R (124a b cosh(x) + (12a b + 64a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 3 8 +--R (155a b cosh(x) + (72a b + 184a b)cosh(x) - 3a b + 32a )sinh(x) +--R + +--R 2 5 2 2 3 +--R 88a b cosh(x) + (192a b + 224a b)cosh(x) +--R + +--R 2 3 +--R (16a b + 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R - 28a b cosh(x) + (304a b + 48a b)cosh(x) +--R + +--R 2 2 3 2 2 3 +--R (48a b + 96a b + 512a )cosh(x) + 2a b + 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R - 104a b cosh(x) + (312a b - 160a b)cosh(x) +--R + +--R 2 2 3 3 +--R (144a b + 240a b + 832a )cosh(x) +--R + +--R 2 2 3 +--R (24a b - 16a b + 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R - 121a b cosh(x) + (192a b - 176a b)cosh(x) +--R + +--R 2 2 3 4 +--R (194a b + 320a b + 960a )cosh(x) +--R + +--R 2 2 3 2 2 2 +--R (78a b - 64a b + 480a )cosh(x) + 9a b + 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 9 2 2 7 +--R - 100a b cosh(x) + (32a b - 96a b)cosh(x) +--R + +--R 2 2 3 5 +--R (128a b + 240a b + 832a )cosh(x) +--R + +--R 2 2 3 3 2 2 +--R (112a b - 96a b + 640a )cosh(x) + (36a b + 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 10 2 2 8 +--R - 58a b cosh(x) + (- 48a b - 56a b)cosh(x) +--R + +--R 2 2 3 6 +--R (24a b + 96a b + 512a )cosh(x) +--R + +--R 2 2 3 4 2 2 2 2 +--R (78a b - 64a b + 480a )cosh(x) + (54a b + 48a b)cosh(x) + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 11 2 2 9 +--R - 20a b cosh(x) + (- 36a b - 32a b)cosh(x) +--R + +--R 2 2 3 7 +--R (- 16a b + 16a b + 192a )cosh(x) +--R + +--R 2 2 3 5 2 2 3 +--R (24a b - 16a b + 192a )cosh(x) + (36a b + 32a b)cosh(x) +--R + +--R 2 +--R 12a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 12 2 2 10 +--R - 3a b cosh(x) + (- 8a b - 8a b)cosh(x) +--R + +--R 2 3 8 2 3 6 +--R (- 7a b + 32a )cosh(x) + (2a b + 32a )cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (9a b + 8a b)cosh(x) + 6a b cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 12 3 2 11 +--R (- b - a b )sinh(x) + (- 12b - 12a b )cosh(x)sinh(x) +--R + +--R 3 2 2 2 2 10 +--R ((- 54b - 54a b )cosh(x) - 8a b - 8a b)sinh(x) +--R + +--R 3 2 3 3 2 2 9 +--R ((- 124b - 124a b )cosh(x) + (- 12b - 76a b - 64a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 2 +--R (- 155b - 155a b )cosh(x) + (- 72b - 256a b - 184a b)cosh(x) +--R + +--R 3 2 2 3 +--R 3b + 3a b - 16a b - 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (- 88b - 88a b )cosh(x) + (- 192b - 416a b - 224a b)cosh(x) +--R + +--R 2 2 3 +--R (- 16a b - 80a b - 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (28b + 28a b )cosh(x) + (- 304b - 352a b - 48a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 3 +--R (- 48b - 144a b - 160a b - 512a )cosh(x) - 2b - 2a b + 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 7 3 2 2 5 +--R (104b + 104a b )cosh(x) + (- 312b - 152a b + 160a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 144b - 384a b - 176a b - 832a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 24b - 8a b + 16a b + 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 8 3 2 2 6 +--R (121b + 121a b )cosh(x) + (- 192b - 16a b + 176a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 194b - 514a b - 160a b - 960a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 78b - 14a b + 64a b + 480a )cosh(x) - 9b - 17a b + 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 9 3 2 2 7 +--R (100b + 100a b )cosh(x) + (- 32b + 64a b + 96a b)cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 128b - 368a b - 176a b - 832a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 112b - 16a b + 96a b + 640a )cosh(x) +--R + +--R 3 2 2 +--R (- 36b - 68a b + 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 10 3 2 2 8 +--R (58b + 58a b )cosh(x) + (48b + 104a b + 56a b)cosh(x) +--R + +--R 3 2 2 3 6 +--R (- 24b - 120a b - 160a b - 512a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 78b - 14a b + 64a b + 480a )cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (- 54b - 102a b + 48a b)cosh(x) - 6b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 11 3 2 2 9 +--R (20b + 20a b )cosh(x) + (36b + 68a b + 32a b)cosh(x) +--R + +--R 3 2 3 7 +--R (16b - 80a b - 192a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 24b - 8a b + 16a b + 192a )cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 36b - 68a b + 32a b)cosh(x) + (- 12b - 12a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 12 3 2 2 10 +--R (3b + 3a b )cosh(x) + (8b + 16a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 8 3 2 3 6 +--R (7b + 7a b - 16a b - 32a )cosh(x) + (- 2b - 2a b + 32a )cosh(x) +--R + +--R 3 2 2 4 3 2 2 3 2 +--R (- 9b - 17a b + 8a b)cosh(x) + (- 6b - 6a b )cosh(x) - b - a b +--R / +--R 3 8 3 7 +--R 16a b sinh(x) + 128a b cosh(x)sinh(x) +--R + +--R 3 2 3 2 2 6 +--R (448a b cosh(x) + 32a b + 64a b )sinh(x) +--R + +--R 3 3 3 2 2 5 +--R (896a b cosh(x) + (192a b + 384a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 2 3 4 +--R (1120a b cosh(x) + (480a b + 960a b )cosh(x) + 16a b )sinh(x) +--R + +--R 3 5 3 2 2 3 3 +--R (896a b cosh(x) + (640a b + 1280a b )cosh(x) + 64a b cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 3 2 2 4 3 2 +--R (448a b cosh(x) + (480a b + 960a b )cosh(x) + 96a b cosh(x) ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 3 2 2 5 3 3 +--R (128a b cosh(x) + (192a b + 384a b )cosh(x) + 64a b cosh(x) ) +--R * +--R sinh(x) +--R + +--R 3 8 3 2 2 6 3 4 +--R 16a b cosh(x) + (32a b + 64a b )cosh(x) + 16a b cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 8 4 3 7 +--R (- 16b - 16a b )sinh(x) + (- 128b - 128a b )cosh(x)sinh(x) +--R + +--R 4 3 2 4 3 2 2 6 +--R ((- 448b - 448a b )cosh(x) - 32b - 96a b - 64a b )sinh(x) +--R + +--R 4 3 3 4 3 2 2 +--R ((- 896b - 896a b )cosh(x) + (- 192b - 576a b - 384a b )cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 4 +--R (- 1120b - 1120a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 480b - 1440a b - 960a b )cosh(x) - 16b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 5 4 3 2 2 3 +--R (- 896b - 896a b )cosh(x) + (- 640b - 1920a b - 1280a b )cosh(x) +--R + +--R 4 3 +--R (- 64b - 64a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 6 4 3 2 2 4 +--R (- 448b - 448a b )cosh(x) + (- 480b - 1440a b - 960a b )cosh(x) +--R + +--R 4 3 2 +--R (- 96b - 96a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 7 4 3 2 2 5 +--R (- 128b - 128a b )cosh(x) + (- 192b - 576a b - 384a b )cosh(x) +--R + +--R 4 3 3 +--R (- 64b - 64a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 8 4 3 2 2 6 +--R (- 16b - 16a b )cosh(x) + (- 32b - 96a b - 64a b )cosh(x) +--R + +--R 4 3 4 +--R (- 16b - 16a b )cosh(x) +--R Type: Expression Integer +--E 463 + +--S 464 of 552 +m0782b:= a0782.2-r0782 +--R +--R +--R (456) +--R 2 4 2 3 2 2 2 +--R 64a sinh(x) + 256a cosh(x)sinh(x) + 384a cosh(x) sinh(x) +--R + +--R 2 3 2 4 +--R 256a cosh(x) sinh(x) + 64a cosh(x) +--R * +--R +-+ +--R +-+ tanh(x)\|a +--R \|a atanh(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 4 2 3 2 2 2 +--R - 64a sinh(x) - 256a cosh(x)sinh(x) - 384a cosh(x) sinh(x) +--R + +--R 2 3 2 4 +--R - 256a cosh(x) sinh(x) - 64a cosh(x) +--R * +--R +-------+ +--R | a +-----+ +--R |- ----- \|b + a +--R \| b + a +--R * +--R +-------+ +--R | a +--R (2b + 2a) |- ----- +--R \| b + a +--R atan(----------------------------------------------------) +--R 2 2 +--R b sinh(x) + 2b cosh(x)sinh(x) + b cosh(x) + b + 2a +--R + +--R 2 8 2 7 2 2 2 6 +--R b sinh(x) + 8b cosh(x)sinh(x) + (28b cosh(x) + 8b - 8a b)sinh(x) +--R + +--R 2 3 2 5 +--R (40b cosh(x) + (24b - 16a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 4 +--R (6b cosh(x) + (24b + 8a b)cosh(x) )sinh(x) +--R + +--R 2 5 2 3 3 +--R (- 40b cosh(x) + (16b + 32a b)cosh(x) )sinh(x) +--R + +--R 2 6 2 4 2 2 +--R (- 36b cosh(x) + (24b + 8a b)cosh(x) - 8b + 8a b)sinh(x) +--R + +--R 2 7 2 5 2 +--R (- 8b cosh(x) + (24b - 16a b)cosh(x) + (- 16b + 16a b)cosh(x)) +--R * +--R sinh(x) +--R + +--R 2 8 2 6 2 2 2 +--R b cosh(x) + (8b - 8a b)cosh(x) + (- 8b + 8a b)cosh(x) - b +--R * +--R +-----+ +--R \|b + a +--R / +--R 3 4 3 3 3 2 2 +--R 64b sinh(x) + 256b cosh(x)sinh(x) + 384b cosh(x) sinh(x) +--R + +--R 3 3 3 4 +--R 256b cosh(x) sinh(x) + 64b cosh(x) +--R * +--R +-----+ +--R \|b + a +--R Type: Expression Integer +--E 464 + +--S 465 of 552 +d0782b:= D(m0782b,x) +--R +--R +--R (457) +--R 2 12 2 11 +--R a b sinh(x) + 12a b cosh(x)sinh(x) +--R + +--R 2 2 2 10 +--R (54a b cosh(x) + 8a b)sinh(x) +--R + +--R 2 3 2 2 9 +--R (124a b cosh(x) + (12a b + 64a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 3 8 +--R (155a b cosh(x) + (72a b + 184a b)cosh(x) - 3a b + 32a )sinh(x) +--R + +--R 2 5 2 2 3 +--R 88a b cosh(x) + (192a b + 224a b)cosh(x) +--R + +--R 2 3 +--R (16a b + 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 6 2 2 4 +--R - 28a b cosh(x) + (304a b + 48a b)cosh(x) +--R + +--R 2 2 3 2 2 3 +--R (48a b + 96a b + 512a )cosh(x) + 2a b + 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 7 2 2 5 +--R - 104a b cosh(x) + (312a b - 160a b)cosh(x) +--R + +--R 2 2 3 3 +--R (144a b + 240a b + 832a )cosh(x) +--R + +--R 2 2 3 +--R (24a b - 16a b + 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R - 121a b cosh(x) + (192a b - 176a b)cosh(x) +--R + +--R 2 2 3 4 +--R (194a b + 320a b + 960a )cosh(x) +--R + +--R 2 2 3 2 2 2 +--R (78a b - 64a b + 480a )cosh(x) + 9a b + 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 2 9 2 2 7 +--R - 100a b cosh(x) + (32a b - 96a b)cosh(x) +--R + +--R 2 2 3 5 +--R (128a b + 240a b + 832a )cosh(x) +--R + +--R 2 2 3 3 2 2 +--R (112a b - 96a b + 640a )cosh(x) + (36a b + 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 10 2 2 8 +--R - 58a b cosh(x) + (- 48a b - 56a b)cosh(x) +--R + +--R 2 2 3 6 +--R (24a b + 96a b + 512a )cosh(x) +--R + +--R 2 2 3 4 2 2 2 2 +--R (78a b - 64a b + 480a )cosh(x) + (54a b + 48a b)cosh(x) + 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 11 2 2 9 +--R - 20a b cosh(x) + (- 36a b - 32a b)cosh(x) +--R + +--R 2 2 3 7 +--R (- 16a b + 16a b + 192a )cosh(x) +--R + +--R 2 2 3 5 2 2 3 +--R (24a b - 16a b + 192a )cosh(x) + (36a b + 32a b)cosh(x) +--R + +--R 2 +--R 12a b cosh(x) +--R * +--R sinh(x) +--R + +--R 2 12 2 2 10 +--R - 3a b cosh(x) + (- 8a b - 8a b)cosh(x) +--R + +--R 2 3 8 2 3 6 +--R (- 7a b + 32a )cosh(x) + (2a b + 32a )cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (9a b + 8a b)cosh(x) + 6a b cosh(x) + a b +--R * +--R 2 +--R tanh(x) +--R + +--R 3 2 12 3 2 11 +--R (- b - a b )sinh(x) + (- 12b - 12a b )cosh(x)sinh(x) +--R + +--R 3 2 2 2 2 10 +--R ((- 54b - 54a b )cosh(x) - 8a b - 8a b)sinh(x) +--R + +--R 3 2 3 3 2 2 9 +--R ((- 124b - 124a b )cosh(x) + (- 12b - 76a b - 64a b)cosh(x))sinh(x) +--R + +--R 3 2 4 3 2 2 2 +--R (- 155b - 155a b )cosh(x) + (- 72b - 256a b - 184a b)cosh(x) +--R + +--R 3 2 2 3 +--R 3b + 3a b - 16a b - 32a +--R * +--R 8 +--R sinh(x) +--R + +--R 3 2 5 3 2 2 3 +--R (- 88b - 88a b )cosh(x) + (- 192b - 416a b - 224a b)cosh(x) +--R + +--R 2 2 3 +--R (- 16a b - 80a b - 192a )cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 3 2 6 3 2 2 4 +--R (28b + 28a b )cosh(x) + (- 304b - 352a b - 48a b)cosh(x) +--R + +--R 3 2 2 3 2 3 2 3 +--R (- 48b - 144a b - 160a b - 512a )cosh(x) - 2b - 2a b + 32a +--R * +--R 6 +--R sinh(x) +--R + +--R 3 2 7 3 2 2 5 +--R (104b + 104a b )cosh(x) + (- 312b - 152a b + 160a b)cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 144b - 384a b - 176a b - 832a )cosh(x) +--R + +--R 3 2 2 3 +--R (- 24b - 8a b + 16a b + 192a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 3 2 8 3 2 2 6 +--R (121b + 121a b )cosh(x) + (- 192b - 16a b + 176a b)cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 194b - 514a b - 160a b - 960a )cosh(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 78b - 14a b + 64a b + 480a )cosh(x) - 9b - 17a b + 8a b +--R * +--R 4 +--R sinh(x) +--R + +--R 3 2 9 3 2 2 7 +--R (100b + 100a b )cosh(x) + (- 32b + 64a b + 96a b)cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 128b - 368a b - 176a b - 832a )cosh(x) +--R + +--R 3 2 2 3 3 +--R (- 112b - 16a b + 96a b + 640a )cosh(x) +--R + +--R 3 2 2 +--R (- 36b - 68a b + 32a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 2 10 3 2 2 8 +--R (58b + 58a b )cosh(x) + (48b + 104a b + 56a b)cosh(x) +--R + +--R 3 2 2 3 6 +--R (- 24b - 120a b - 160a b - 512a )cosh(x) +--R + +--R 3 2 2 3 4 +--R (- 78b - 14a b + 64a b + 480a )cosh(x) +--R + +--R 3 2 2 2 3 2 +--R (- 54b - 102a b + 48a b)cosh(x) - 6b - 6a b +--R * +--R 2 +--R sinh(x) +--R + +--R 3 2 11 3 2 2 9 +--R (20b + 20a b )cosh(x) + (36b + 68a b + 32a b)cosh(x) +--R + +--R 3 2 3 7 +--R (16b - 80a b - 192a )cosh(x) +--R + +--R 3 2 2 3 5 +--R (- 24b - 8a b + 16a b + 192a )cosh(x) +--R + +--R 3 2 2 3 3 2 +--R (- 36b - 68a b + 32a b)cosh(x) + (- 12b - 12a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 3 2 12 3 2 2 10 +--R (3b + 3a b )cosh(x) + (8b + 16a b + 8a b)cosh(x) +--R + +--R 3 2 2 3 8 3 2 3 6 +--R (7b + 7a b - 16a b - 32a )cosh(x) + (- 2b - 2a b + 32a )cosh(x) +--R + +--R 3 2 2 4 3 2 2 3 2 +--R (- 9b - 17a b + 8a b)cosh(x) + (- 6b - 6a b )cosh(x) - b - a b +--R / +--R 3 8 3 7 +--R 16a b sinh(x) + 128a b cosh(x)sinh(x) +--R + +--R 3 2 3 2 2 6 +--R (448a b cosh(x) + 32a b + 64a b )sinh(x) +--R + +--R 3 3 3 2 2 5 +--R (896a b cosh(x) + (192a b + 384a b )cosh(x))sinh(x) +--R + +--R 3 4 3 2 2 2 3 4 +--R (1120a b cosh(x) + (480a b + 960a b )cosh(x) + 16a b )sinh(x) +--R + +--R 3 5 3 2 2 3 3 +--R (896a b cosh(x) + (640a b + 1280a b )cosh(x) + 64a b cosh(x)) +--R * +--R 3 +--R sinh(x) +--R + +--R 3 6 3 2 2 4 3 2 +--R (448a b cosh(x) + (480a b + 960a b )cosh(x) + 96a b cosh(x) ) +--R * +--R 2 +--R sinh(x) +--R + +--R 3 7 3 2 2 5 3 3 +--R (128a b cosh(x) + (192a b + 384a b )cosh(x) + 64a b cosh(x) ) +--R * +--R sinh(x) +--R + +--R 3 8 3 2 2 6 3 4 +--R 16a b cosh(x) + (32a b + 64a b )cosh(x) + 16a b cosh(x) +--R * +--R 2 +--R tanh(x) +--R + +--R 4 3 8 4 3 7 +--R (- 16b - 16a b )sinh(x) + (- 128b - 128a b )cosh(x)sinh(x) +--R + +--R 4 3 2 4 3 2 2 6 +--R ((- 448b - 448a b )cosh(x) - 32b - 96a b - 64a b )sinh(x) +--R + +--R 4 3 3 4 3 2 2 +--R ((- 896b - 896a b )cosh(x) + (- 192b - 576a b - 384a b )cosh(x)) +--R * +--R 5 +--R sinh(x) +--R + +--R 4 3 4 +--R (- 1120b - 1120a b )cosh(x) +--R + +--R 4 3 2 2 2 4 3 +--R (- 480b - 1440a b - 960a b )cosh(x) - 16b - 16a b +--R * +--R 4 +--R sinh(x) +--R + +--R 4 3 5 4 3 2 2 3 +--R (- 896b - 896a b )cosh(x) + (- 640b - 1920a b - 1280a b )cosh(x) +--R + +--R 4 3 +--R (- 64b - 64a b )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 4 3 6 4 3 2 2 4 +--R (- 448b - 448a b )cosh(x) + (- 480b - 1440a b - 960a b )cosh(x) +--R + +--R 4 3 2 +--R (- 96b - 96a b )cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 4 3 7 4 3 2 2 5 +--R (- 128b - 128a b )cosh(x) + (- 192b - 576a b - 384a b )cosh(x) +--R + +--R 4 3 3 +--R (- 64b - 64a b )cosh(x) +--R * +--R sinh(x) +--R + +--R 4 3 8 4 3 2 2 6 +--R (- 16b - 16a b )cosh(x) + (- 32b - 96a b - 64a b )cosh(x) +--R + +--R 4 3 4 +--R (- 16b - 16a b )cosh(x) +--R Type: Expression Integer +--E 465 + +--S 466 of 552 +t0783:= cosh(x)^7/(a+b*cosh(x)^2) +--R +--R +--R 7 +--R cosh(x) +--R (458) -------------- +--R 2 +--R b cosh(x) + a +--R Type: Expression Integer +--E 466 + +--S 467 of 552 +r0783:= -a^3*atan(b^(1/2)*sinh(x)/(a+b)^(1/2))/b^(7/2)/(a+b)^(1/2)+_ + a^2*sinh(x)/b^3-a*sinh(x)/b^2+sinh(x)/b-1/3*a*sinh(x)^3/b^2+_ + 2/3*sinh(x)^3/b+1/5*sinh(x)^5/b +--R +--R +--R (459) +--R +-+ +--R 3 sinh(x)\|b +--R - 15a atan(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 5 2 3 2 2 +--R (3b sinh(x) + (10b - 5a b)sinh(x) + (15b - 15a b + 15a )sinh(x)) +--R * +--R +-+ +-----+ +--R \|b \|b + a +--R / +--R 3 +-+ +-----+ +--R 15b \|b \|b + a +--R Type: Expression Integer +--E 467 + +--S 468 of 552 +a0783:= integrate(t0783,x) +--R +--R +--R (460) +--R [ +--R 3 5 3 4 3 2 3 +--R 240a sinh(x) + 1200a cosh(x)sinh(x) + 2400a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 2400a cosh(x) sinh(x) + 1200a cosh(x) sinh(x) + 240a cosh(x) +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 6b - 4a)cosh(x) + b +--R * +--R +----------+ +--R | 2 +--R \|- b - a b +--R + +--R 2 3 2 2 +--R (- 4b - 4a b)sinh(x) + (- 12b - 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((- 12b - 12a b)cosh(x) + 4b + 4a b)sinh(x) +--R + +--R 2 3 2 +--R (- 4b - 4a b)cosh(x) + (4b + 4a b)cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 2 10 2 9 +--R 3b sinh(x) + 30b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (135b cosh(x) + 25b - 20a b)sinh(x) +--R + +--R 2 3 2 7 +--R (360b cosh(x) + (200b - 160a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 630b cosh(x) + (700b - 560a b)cosh(x) + 150b - 180a b +--R + +--R 2 +--R 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 756b cosh(x) + (1400b - 1120a b)cosh(x) +--R + +--R 2 2 +--R (900b - 1080a b + 1440a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 630b cosh(x) + (1750b - 1400a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (2250b - 2700a b + 3600a )cosh(x) - 150b + 180a b - 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 360b cosh(x) + (1400b - 1120a b)cosh(x) +--R + +--R 2 2 3 +--R (3000b - 3600a b + 4800a )cosh(x) +--R + +--R 2 2 +--R (- 600b + 720a b - 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 135b cosh(x) + (700b - 560a b)cosh(x) +--R + +--R 2 2 4 +--R (2250b - 2700a b + 3600a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 900b + 1080a b - 1440a )cosh(x) - 25b + 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 30b cosh(x) + (200b - 160a b)cosh(x) +--R + +--R 2 2 5 +--R (900b - 1080a b + 1440a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 600b + 720a b - 960a )cosh(x) + (- 50b + 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R 3b cosh(x) + (25b - 20a b)cosh(x) +--R + +--R 2 2 6 +--R (150b - 180a b + 240a )cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (- 150b + 180a b - 240a )cosh(x) + (- 25b + 20a b)cosh(x) - 3b +--R * +--R +----------+ +--R | 2 +--R \|- b - a b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +----------+ +--R | 2 +--R \|- b - a b +--R , +--R +--R 3 5 3 4 3 2 3 +--R - 480a sinh(x) - 2400a cosh(x)sinh(x) - 4800a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R - 4800a cosh(x) sinh(x) - 2400a cosh(x) sinh(x) - 480a cosh(x) +--R * +--R +--------+ +--R | 2 +--R (sinh(x) + cosh(x))\|b + a b +--R atan(------------------------------) +--R 2b + 2a +--R + +--R 3 5 3 4 3 2 3 +--R - 480a sinh(x) - 2400a cosh(x)sinh(x) - 4800a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R - 4800a cosh(x) sinh(x) - 2400a cosh(x) sinh(x) - 480a cosh(x) +--R * +--R atan +--R 3 2 +--R b sinh(x) + 3b cosh(x)sinh(x) +--R + +--R 2 3 +--R (3b cosh(x) + 3b + 4a)sinh(x) + b cosh(x) + (3b + 4a)cosh(x) +--R / +--R +--------+ +--R | 2 +--R 2\|b + a b +--R + +--R 2 10 2 9 +--R 3b sinh(x) + 30b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (135b cosh(x) + 25b - 20a b)sinh(x) +--R + +--R 2 3 2 7 +--R (360b cosh(x) + (200b - 160a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 630b cosh(x) + (700b - 560a b)cosh(x) + 150b - 180a b +--R + +--R 2 +--R 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 756b cosh(x) + (1400b - 1120a b)cosh(x) +--R + +--R 2 2 +--R (900b - 1080a b + 1440a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 630b cosh(x) + (1750b - 1400a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (2250b - 2700a b + 3600a )cosh(x) - 150b + 180a b - 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 360b cosh(x) + (1400b - 1120a b)cosh(x) +--R + +--R 2 2 3 +--R (3000b - 3600a b + 4800a )cosh(x) +--R + +--R 2 2 +--R (- 600b + 720a b - 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 135b cosh(x) + (700b - 560a b)cosh(x) +--R + +--R 2 2 4 +--R (2250b - 2700a b + 3600a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 900b + 1080a b - 1440a )cosh(x) - 25b + 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 30b cosh(x) + (200b - 160a b)cosh(x) +--R + +--R 2 2 5 +--R (900b - 1080a b + 1440a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 600b + 720a b - 960a )cosh(x) + (- 50b + 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R 3b cosh(x) + (25b - 20a b)cosh(x) +--R + +--R 2 2 6 +--R (150b - 180a b + 240a )cosh(x) +--R + +--R 2 2 4 2 2 2 +--R (- 150b + 180a b - 240a )cosh(x) + (- 25b + 20a b)cosh(x) - 3b +--R * +--R +--------+ +--R | 2 +--R \|b + a b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +--------+ +--R | 2 +--R \|b + a b +--R ] +--R Type: Union(List Expression Integer,...) +--E 468 + +--S 469 of 552 +m0783a:= a0783.1-r0783 +--R +--R +--R (461) +--R 3 5 3 4 3 2 3 +--R 240a sinh(x) + 1200a cosh(x)sinh(x) + 2400a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 2400a cosh(x) sinh(x) + 1200a cosh(x) sinh(x) + 240a cosh(x) +--R * +--R +-+ +-----+ +--R \|b \|b + a +--R * +--R log +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) - 6b - 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (- 12b - 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (- 6b - 4a)cosh(x) + b +--R * +--R +----------+ +--R | 2 +--R \|- b - a b +--R + +--R 2 3 2 2 +--R (- 4b - 4a b)sinh(x) + (- 12b - 12a b)cosh(x)sinh(x) +--R + +--R 2 2 2 +--R ((- 12b - 12a b)cosh(x) + 4b + 4a b)sinh(x) +--R + +--R 2 3 2 +--R (- 4b - 4a b)cosh(x) + (4b + 4a b)cosh(x) +--R / +--R 4 3 +--R b sinh(x) + 4b cosh(x)sinh(x) +--R + +--R 2 2 +--R (6b cosh(x) + 2b + 4a)sinh(x) +--R + +--R 3 4 +--R (4b cosh(x) + (4b + 8a)cosh(x))sinh(x) + b cosh(x) +--R + +--R 2 +--R (2b + 4a)cosh(x) + b +--R + +--R 3 5 3 4 3 2 3 +--R 480a sinh(x) + 2400a cosh(x)sinh(x) + 4800a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800a cosh(x) sinh(x) + 2400a cosh(x) sinh(x) + 480a cosh(x) +--R * +--R +----------+ +-+ +--R | 2 sinh(x)\|b +--R \|- b - a b atan(-----------) +--R +-----+ +--R \|b + a +--R + +--R 2 10 2 9 +--R - 93b sinh(x) - 450b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (- 825b cosh(x) - 295b + 140a b)sinh(x) +--R + +--R 2 3 2 7 +--R (- 600b cosh(x) + (- 1400b + 640a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 150b cosh(x) + (- 2500b + 1040a b)cosh(x) - 330b + 300a b +--R + +--R 2 +--R - 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 660b cosh(x) + (- 1800b + 480a b)cosh(x) +--R + +--R 2 2 +--R (- 1500b + 1320a b - 960a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 630b cosh(x) + (150b - 600a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 2550b + 2100a b - 1200a )cosh(x) - 150b + 180a b - 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 360b cosh(x) + (1080b - 960a b)cosh(x) +--R + +--R 2 3 2 2 +--R (- 1800b + 1200a b)cosh(x) + (- 600b + 720a b - 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 135b cosh(x) + (700b - 560a b)cosh(x) +--R + +--R 2 2 4 +--R (- 150b - 300a b + 1200a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 900b + 1080a b - 1440a )cosh(x) - 25b + 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 30b cosh(x) + (200b - 160a b)cosh(x) +--R + +--R 2 2 5 +--R (420b - 600a b + 960a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 600b + 720a b - 960a )cosh(x) + (- 50b + 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R 3b cosh(x) + (25b - 20a b)cosh(x) +--R + +--R 2 2 6 2 2 4 +--R (150b - 180a b + 240a )cosh(x) + (- 150b + 180a b - 240a )cosh(x) +--R + +--R 2 2 2 +--R (- 25b + 20a b)cosh(x) - 3b +--R * +--R +----------+ +--R | 2 +-+ +-----+ +--R \|- b - a b \|b \|b + a +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +----------+ +--R | 2 +-+ +-----+ +--R \|- b - a b \|b \|b + a +--R Type: Expression Integer +--E 469 + +--S 470 of 552 +d0783a:= D(m0783a,x) +--R +--R +--R (462) +--R 16 15 2 14 +--R b sinh(x) - 18b cosh(x)sinh(x) + (- 197b cosh(x) + 8b + a)sinh(x) +--R + +--R 3 13 +--R (- 788b cosh(x) + (- 62b - 114a)cosh(x))sinh(x) +--R + +--R 4 2 12 +--R (- 1687b cosh(x) + (- 759b - 805a)cosh(x) + 28b + 7a)sinh(x) +--R + +--R 5 3 +--R (- 2030b cosh(x) + (- 2896b - 2324a)cosh(x) + (- 26b - 300a)cosh(x)) +--R * +--R 11 +--R sinh(x) +--R + +--R 6 4 +--R - 1029b cosh(x) + (- 5838b - 3479a)cosh(x) +--R + +--R 2 +--R (- 961b - 2226a)cosh(x) + 56b + 21a +--R * +--R 10 +--R sinh(x) +--R + +--R 7 5 3 +--R 744b cosh(x) + (- 6790b - 2478a)cosh(x) + (- 3748b - 6524a)cosh(x) +--R + +--R (170b - 174a)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 8 6 4 +--R 1851b cosh(x) + (- 3969b + 315a)cosh(x) + (- 7229b - 9975a)cosh(x) +--R + +--R 2 +--R (- 187b - 1743a)cosh(x) + 70b + 35a +--R * +--R 8 +--R sinh(x) +--R + +--R 9 7 5 +--R 1714b cosh(x) + (464b + 2536a)cosh(x) + (- 8140b - 7896a)cosh(x) +--R + +--R 3 +--R (- 1664b - 5544a)cosh(x) + (330b + 152a)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 10 8 6 +--R 969b cosh(x) + (2948b + 2875a)cosh(x) + (- 5282b - 1596a)cosh(x) +--R + +--R 4 2 +--R (- 3508b - 9030a)cosh(x) + (577b + 84a)cosh(x) + 56b + 35a +--R * +--R 6 +--R sinh(x) +--R + +--R 11 9 7 +--R 364b cosh(x) + (2678b + 2002a)cosh(x) + (- 1344b + 2856a)cosh(x) +--R + +--R 5 3 +--R (- 3980b - 8148a)cosh(x) + (356b - 728a)cosh(x) +--R + +--R (262b + 210a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 12 10 8 +--R 91b cosh(x) + (1367b + 1001a)cosh(x) + (762b + 3081a)cosh(x) +--R + +--R 6 4 +--R (- 2770b - 3654a)cosh(x) + (- 225b - 2030a)cosh(x) +--R + +--R 2 +--R (491b + 525a)cosh(x) + 28b + 21a +--R * +--R 4 +--R sinh(x) +--R + +--R 13 11 9 +--R 14b cosh(x) + (448b + 364a)cosh(x) + (886b + 1540a)cosh(x) +--R + +--R 7 5 +--R (- 1232b - 168a)cosh(x) + (- 550b - 2520a)cosh(x) +--R + +--R 3 +--R (464b + 700a)cosh(x) + (98b + 84a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 14 12 10 +--R b cosh(x) + (98b + 91a)cosh(x) + (387b + 462a)cosh(x) +--R + +--R 8 6 +--R (- 364b + 561a)cosh(x) + (- 425b - 1708a)cosh(x) +--R + +--R 4 2 +--R (226b + 525a)cosh(x) + (133b + 126a)cosh(x) + 8b + 7a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R (14b + 14a)cosh(x) + (84b + 84a)cosh(x) + (- 78b + 210a)cosh(x) +--R + +--R 7 5 3 +--R (- 168b - 616a)cosh(x) + (50b + 210a)cosh(x) + (84b + 84a)cosh(x) +--R + +--R (14b + 14a)cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 +--R (b + a)cosh(x) + (7b + 7a)cosh(x) + (- 11b + 21a)cosh(x) +--R + +--R 8 6 4 +--R (- 29b - 93a)cosh(x) + (3b + 35a)cosh(x) + (21b + 21a)cosh(x) +--R + +--R 2 +--R (7b + 7a)cosh(x) + b + a +--R / +--R 2 11 2 10 +--R 32b sinh(x) + 288b cosh(x)sinh(x) +--R + +--R 2 2 2 9 +--R (1152b cosh(x) + 96b + 160a b)sinh(x) +--R + +--R 2 3 2 8 +--R (2688b cosh(x) + (736b + 1184a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (4032b cosh(x) + (2496b + 3840a b)cosh(x) + 96b + 192a b + 128a ) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 4032b cosh(x) + (4928b + 7168a b)cosh(x) +--R + +--R 2 2 +--R (608b + 1344a b + 896a )cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 2688b cosh(x) + (6272b + 8512a b)cosh(x) +--R + +--R 2 2 2 2 +--R (1664b + 4032a b + 2688a )cosh(x) + 32b + 32a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 1152b cosh(x) + (5376b + 6720a b)cosh(x) +--R + +--R 2 2 3 2 +--R (2560b + 6720a b + 4480a )cosh(x) + (160b + 160a b)cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 288b cosh(x) + (3136b + 3584a b)cosh(x) +--R + +--R 2 2 4 2 2 +--R (2400b + 6720a b + 4480a )cosh(x) + (320b + 320a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 32b cosh(x) + (1216b + 1280a b)cosh(x) +--R + +--R 2 2 5 2 3 +--R (1376b + 4032a b + 2688a )cosh(x) + (320b + 320a b)cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R (288b + 288a b)cosh(x) + (448b + 1344a b + 896a )cosh(x) +--R + +--R 2 4 +--R (160b + 160a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 9 2 2 7 +--R (32b + 32a b)cosh(x) + (64b + 192a b + 128a )cosh(x) +--R + +--R 2 5 +--R (32b + 32a b)cosh(x) +--R Type: Expression Integer +--E 470 + +--S 471 of 552 +m0783b:= a0783.2-r0783 +--R +--R +--R (463) +--R 3 5 3 4 3 2 3 +--R - 480a sinh(x) - 2400a cosh(x)sinh(x) - 4800a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R - 4800a cosh(x) sinh(x) - 2400a cosh(x) sinh(x) - 480a cosh(x) +--R * +--R +--------+ +--R | 2 +--R +-+ +-----+ (sinh(x) + cosh(x))\|b + a b +--R \|b \|b + a atan(------------------------------) +--R 2b + 2a +--R + +--R 3 5 3 4 3 2 3 +--R 480a sinh(x) + 2400a cosh(x)sinh(x) + 4800a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800a cosh(x) sinh(x) + 2400a cosh(x) sinh(x) + 480a cosh(x) +--R * +--R +--------+ +-+ +--R | 2 sinh(x)\|b +--R \|b + a b atan(-----------) +--R +-----+ +--R \|b + a +--R + +--R 3 5 3 4 3 2 3 +--R - 480a sinh(x) - 2400a cosh(x)sinh(x) - 4800a cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R - 4800a cosh(x) sinh(x) - 2400a cosh(x) sinh(x) - 480a cosh(x) +--R * +--R +-+ +-----+ +--R \|b \|b + a +--R * +--R atan +--R 3 2 2 +--R b sinh(x) + 3b cosh(x)sinh(x) + (3b cosh(x) + 3b + 4a)sinh(x) +--R + +--R 3 +--R b cosh(x) + (3b + 4a)cosh(x) +--R / +--R +--------+ +--R | 2 +--R 2\|b + a b +--R + +--R 2 10 2 9 +--R - 93b sinh(x) - 450b cosh(x)sinh(x) +--R + +--R 2 2 2 8 +--R (- 825b cosh(x) - 295b + 140a b)sinh(x) +--R + +--R 2 3 2 7 +--R (- 600b cosh(x) + (- 1400b + 640a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 +--R 150b cosh(x) + (- 2500b + 1040a b)cosh(x) - 330b + 300a b +--R + +--R 2 +--R - 240a +--R * +--R 6 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 660b cosh(x) + (- 1800b + 480a b)cosh(x) +--R + +--R 2 2 +--R (- 1500b + 1320a b - 960a )cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 630b cosh(x) + (150b - 600a b)cosh(x) +--R + +--R 2 2 2 2 2 +--R (- 2550b + 2100a b - 1200a )cosh(x) - 150b + 180a b - 240a +--R * +--R 4 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 360b cosh(x) + (1080b - 960a b)cosh(x) +--R + +--R 2 3 2 2 +--R (- 1800b + 1200a b)cosh(x) + (- 600b + 720a b - 960a )cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 135b cosh(x) + (700b - 560a b)cosh(x) +--R + +--R 2 2 4 +--R (- 150b - 300a b + 1200a )cosh(x) +--R + +--R 2 2 2 2 +--R (- 900b + 1080a b - 1440a )cosh(x) - 25b + 20a b +--R * +--R 2 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 30b cosh(x) + (200b - 160a b)cosh(x) +--R + +--R 2 2 5 +--R (420b - 600a b + 960a )cosh(x) +--R + +--R 2 2 3 2 +--R (- 600b + 720a b - 960a )cosh(x) + (- 50b + 40a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 10 2 8 +--R 3b cosh(x) + (25b - 20a b)cosh(x) +--R + +--R 2 2 6 2 2 4 +--R (150b - 180a b + 240a )cosh(x) + (- 150b + 180a b - 240a )cosh(x) +--R + +--R 2 2 2 +--R (- 25b + 20a b)cosh(x) - 3b +--R * +--R +--------+ +--R +-+ +-----+ | 2 +--R \|b \|b + a \|b + a b +--R / +--R 3 5 3 4 3 2 3 +--R 480b sinh(x) + 2400b cosh(x)sinh(x) + 4800b cosh(x) sinh(x) +--R + +--R 3 3 2 3 4 3 5 +--R 4800b cosh(x) sinh(x) + 2400b cosh(x) sinh(x) + 480b cosh(x) +--R * +--R +--------+ +--R +-+ +-----+ | 2 +--R \|b \|b + a \|b + a b +--R Type: Expression Integer +--E 471 + +--S 472 of 552 +d0783b:= D(m0783b,x) +--R +--R +--R (464) +--R 16 15 2 14 +--R b sinh(x) - 18b cosh(x)sinh(x) + (- 197b cosh(x) + 8b + a)sinh(x) +--R + +--R 3 13 +--R (- 788b cosh(x) + (- 62b - 114a)cosh(x))sinh(x) +--R + +--R 4 2 12 +--R (- 1687b cosh(x) + (- 759b - 805a)cosh(x) + 28b + 7a)sinh(x) +--R + +--R 5 3 +--R (- 2030b cosh(x) + (- 2896b - 2324a)cosh(x) + (- 26b - 300a)cosh(x)) +--R * +--R 11 +--R sinh(x) +--R + +--R 6 4 +--R - 1029b cosh(x) + (- 5838b - 3479a)cosh(x) +--R + +--R 2 +--R (- 961b - 2226a)cosh(x) + 56b + 21a +--R * +--R 10 +--R sinh(x) +--R + +--R 7 5 3 +--R 744b cosh(x) + (- 6790b - 2478a)cosh(x) + (- 3748b - 6524a)cosh(x) +--R + +--R (170b - 174a)cosh(x) +--R * +--R 9 +--R sinh(x) +--R + +--R 8 6 4 +--R 1851b cosh(x) + (- 3969b + 315a)cosh(x) + (- 7229b - 9975a)cosh(x) +--R + +--R 2 +--R (- 187b - 1743a)cosh(x) + 70b + 35a +--R * +--R 8 +--R sinh(x) +--R + +--R 9 7 5 +--R 1714b cosh(x) + (464b + 2536a)cosh(x) + (- 8140b - 7896a)cosh(x) +--R + +--R 3 +--R (- 1664b - 5544a)cosh(x) + (330b + 152a)cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 10 8 6 +--R 969b cosh(x) + (2948b + 2875a)cosh(x) + (- 5282b - 1596a)cosh(x) +--R + +--R 4 2 +--R (- 3508b - 9030a)cosh(x) + (577b + 84a)cosh(x) + 56b + 35a +--R * +--R 6 +--R sinh(x) +--R + +--R 11 9 7 +--R 364b cosh(x) + (2678b + 2002a)cosh(x) + (- 1344b + 2856a)cosh(x) +--R + +--R 5 3 +--R (- 3980b - 8148a)cosh(x) + (356b - 728a)cosh(x) +--R + +--R (262b + 210a)cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 12 10 8 +--R 91b cosh(x) + (1367b + 1001a)cosh(x) + (762b + 3081a)cosh(x) +--R + +--R 6 4 +--R (- 2770b - 3654a)cosh(x) + (- 225b - 2030a)cosh(x) +--R + +--R 2 +--R (491b + 525a)cosh(x) + 28b + 21a +--R * +--R 4 +--R sinh(x) +--R + +--R 13 11 9 +--R 14b cosh(x) + (448b + 364a)cosh(x) + (886b + 1540a)cosh(x) +--R + +--R 7 5 +--R (- 1232b - 168a)cosh(x) + (- 550b - 2520a)cosh(x) +--R + +--R 3 +--R (464b + 700a)cosh(x) + (98b + 84a)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 14 12 10 +--R b cosh(x) + (98b + 91a)cosh(x) + (387b + 462a)cosh(x) +--R + +--R 8 6 +--R (- 364b + 561a)cosh(x) + (- 425b - 1708a)cosh(x) +--R + +--R 4 2 +--R (226b + 525a)cosh(x) + (133b + 126a)cosh(x) + 8b + 7a +--R * +--R 2 +--R sinh(x) +--R + +--R 13 11 9 +--R (14b + 14a)cosh(x) + (84b + 84a)cosh(x) + (- 78b + 210a)cosh(x) +--R + +--R 7 5 3 +--R (- 168b - 616a)cosh(x) + (50b + 210a)cosh(x) + (84b + 84a)cosh(x) +--R + +--R (14b + 14a)cosh(x) +--R * +--R sinh(x) +--R + +--R 14 12 10 +--R (b + a)cosh(x) + (7b + 7a)cosh(x) + (- 11b + 21a)cosh(x) +--R + +--R 8 6 4 +--R (- 29b - 93a)cosh(x) + (3b + 35a)cosh(x) + (21b + 21a)cosh(x) +--R + +--R 2 +--R (7b + 7a)cosh(x) + b + a +--R / +--R 2 11 2 10 +--R 32b sinh(x) + 288b cosh(x)sinh(x) +--R + +--R 2 2 2 9 +--R (1152b cosh(x) + 96b + 160a b)sinh(x) +--R + +--R 2 3 2 8 +--R (2688b cosh(x) + (736b + 1184a b)cosh(x))sinh(x) +--R + +--R 2 4 2 2 2 2 +--R (4032b cosh(x) + (2496b + 3840a b)cosh(x) + 96b + 192a b + 128a ) +--R * +--R 7 +--R sinh(x) +--R + +--R 2 5 2 3 +--R 4032b cosh(x) + (4928b + 7168a b)cosh(x) +--R + +--R 2 2 +--R (608b + 1344a b + 896a )cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 2 6 2 4 +--R 2688b cosh(x) + (6272b + 8512a b)cosh(x) +--R + +--R 2 2 2 2 +--R (1664b + 4032a b + 2688a )cosh(x) + 32b + 32a b +--R * +--R 5 +--R sinh(x) +--R + +--R 2 7 2 5 +--R 1152b cosh(x) + (5376b + 6720a b)cosh(x) +--R + +--R 2 2 3 2 +--R (2560b + 6720a b + 4480a )cosh(x) + (160b + 160a b)cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 2 8 2 6 +--R 288b cosh(x) + (3136b + 3584a b)cosh(x) +--R + +--R 2 2 4 2 2 +--R (2400b + 6720a b + 4480a )cosh(x) + (320b + 320a b)cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 2 9 2 7 +--R 32b cosh(x) + (1216b + 1280a b)cosh(x) +--R + +--R 2 2 5 2 3 +--R (1376b + 4032a b + 2688a )cosh(x) + (320b + 320a b)cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 2 8 2 2 6 +--R (288b + 288a b)cosh(x) + (448b + 1344a b + 896a )cosh(x) +--R + +--R 2 4 +--R (160b + 160a b)cosh(x) +--R * +--R sinh(x) +--R + +--R 2 9 2 2 7 +--R (32b + 32a b)cosh(x) + (64b + 192a b + 128a )cosh(x) +--R + +--R 2 5 +--R (32b + 32a b)cosh(x) +--R Type: Expression Integer +--E 472 + +--S 473 of 552 +t0784:= sinh(x)^2/(a-a*cosh(x)^2) +--R +--R +--R 2 +--R sinh(x) +--R (465) - -------------- +--R 2 +--R a cosh(x) - a +--R Type: Expression Integer +--E 473 + +--S 474 of 552 +r0784:= -x/a +--R +--R +--R x +--R (466) - - +--R a +--R Type: Fraction Polynomial Integer +--E 474 + +--S 475 of 552 +a0784:= integrate(t0784,x) +--R +--R +--R x +--R (467) - - +--R a +--R Type: Union(Expression Integer,...) +--E 475 + +--S 476 of 552 +m0784:= a0784-r0784 +--R +--R +--R (468) 0 +--R Type: Expression Integer +--E 476 + +--S 477 of 552 +d0784:= D(m0784,x) +--R +--R +--R (469) 0 +--R Type: Expression Integer +--E 477 + +--S 478 of 552 +t0785:= sinh(x)^3/(a-a*cosh(x)^2) +--R +--R +--R 3 +--R sinh(x) +--R (470) - -------------- +--R 2 +--R a cosh(x) - a +--R Type: Expression Integer +--E 478 + +--S 479 of 552 +r0785:= -cosh(x)/a +--R +--R +--R cosh(x) +--R (471) - ------- +--R a +--R Type: Expression Integer +--E 479 + +--S 480 of 552 +a0785:= integrate(t0785,x) +--R +--R +--R cosh(x) +--R (472) - ------- +--R a +--R Type: Union(Expression Integer,...) +--E 480 + +--S 481 of 552 +m0785:= a0785-r0785 +--R +--R +--R (473) 0 +--R Type: Expression Integer +--E 481 + +--S 482 of 552 +d0785:= D(m0785,x) +--R +--R +--R (474) 0 +--R Type: Expression Integer +--E 482 + +--S 483 of 552 +t0786:= sinh(x)^4/(a-a*cosh(x)^2) +--R +--R +--R 4 +--R sinh(x) +--R (475) - -------------- +--R 2 +--R a cosh(x) - a +--R Type: Expression Integer +--E 483 + +--S 484 of 552 +r0786:= -1/2*(-x+cosh(x)*sinh(x))/a +--R +--R +--R - cosh(x)sinh(x) + x +--R (476) -------------------- +--R 2a +--R Type: Expression Integer +--E 484 + +--S 485 of 552 +a0786:= integrate(t0786,x) +--R +--R +--R - cosh(x)sinh(x) + x +--R (477) -------------------- +--R 2a +--R Type: Union(Expression Integer,...) +--E 485 + +--S 486 of 552 +m0786:= a0786-r0786 +--R +--R +--R (478) 0 +--R Type: Expression Integer +--E 486 + +--S 487 of 552 +d0786:= D(m0786,x) +--R +--R +--R (479) 0 +--R Type: Expression Integer +--E 487 + +--S 488 of 552 +t0787:= tanh(x)/(1+cosh(x)^2) +--R +--R +--R tanh(x) +--R (480) ------------ +--R 2 +--R cosh(x) + 1 +--R Type: Expression Integer +--E 488 + +--S 489 of 552 +r0787:= -atanh(3+2*sinh(x)^2) +--R +--R +--R 2 +--R (481) - atanh(2sinh(x) + 3) +--R Type: Expression Integer +--E 489 + +--S 490 of 552 +a0787:= integrate(t0787,x) +--R +--R +--R (482) +--R 2 2 +--R 2sinh(x) + 2cosh(x) + 6 2cosh(x) +--R - log(-------------------------------------) + 2log(- -----------------) +--R 2 2 sinh(x) - cosh(x) +--R sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R ------------------------------------------------------------------------ +--R 2 +--R Type: Union(Expression Integer,...) +--E 490 + +--S 491 of 552 +m0787:= a0787-r0787 +--R +--R +--R (483) +--R 2 2 +--R 2sinh(x) + 2cosh(x) + 6 2cosh(x) +--R - log(-------------------------------------) + 2log(- -----------------) +--R 2 2 sinh(x) - cosh(x) +--R sinh(x) - 2cosh(x)sinh(x) + cosh(x) +--R + +--R 2 +--R 2atanh(2sinh(x) + 3) +--R / +--R 2 +--R Type: Expression Integer +--E 491 + +--S 492 of 552 +d0787:= D(m0787,x) +--R +--R +--R (484) +--R 7 2 5 2 3 +--R sinh(x) + (- cosh(x) + 6)sinh(x) + (- 4cosh(x) + 11)sinh(x) +--R + +--R 4 2 +--R (- cosh(x) - 5cosh(x) + 6)sinh(x) +--R / +--R 6 3 4 +--R cosh(x)sinh(x) + (cosh(x) + 6cosh(x))sinh(x) +--R + +--R 3 2 3 +--R (3cosh(x) + 11cosh(x))sinh(x) + 2cosh(x) + 6cosh(x) +--R Type: Expression Integer +--E 492 + +--S 493 of 552 +t0788:= cosh(a+b*x)^3*sinh(a+b*x)^n +--R +--R +--R 3 n +--R (485) cosh(b x + a) sinh(b x + a) +--R Type: Expression Integer +--E 493 + +--S 494 of 552 +r0788:= sinh(a+b*x)^(1+n)/b/(1+n)+sinh(a+b*x)^(3+n)/b/(3+n) +--R +--R +--R n + 3 n + 1 +--R (n + 1)sinh(b x + a) + (n + 3)sinh(b x + a) +--R (486) ----------------------------------------------------- +--R 2 +--R b n + 4b n + 3b +--R Type: Expression Integer +--E 494 + +--S 495 of 552 +a0788:= integrate(t0788,x) +--R +--R +--R (487) +--R 3 2 +--R ((n + 1)sinh(b x + a) + ((3n + 3)cosh(b x + a) + n + 9)sinh(b x + a)) +--R * +--R sinh(n log(sinh(b x + a))) +--R + +--R 3 2 +--R ((n + 1)sinh(b x + a) + ((3n + 3)cosh(b x + a) + n + 9)sinh(b x + a)) +--R * +--R cosh(n log(sinh(b x + a))) +--R / +--R 2 4 +--R (4b n + 16b n + 12b)sinh(b x + a) +--R + +--R 2 2 2 +--R (- 8b n - 32b n - 24b)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 +--R (4b n + 16b n + 12b)cosh(b x + a) +--R Type: Union(Expression Integer,...) +--E 495 + +--S 496 of 552 +m0788:= a0788-r0788 +--R +--R +--R (488) +--R 3 2 +--R ((n + 1)sinh(b x + a) + ((3n + 3)cosh(b x + a) + n + 9)sinh(b x + a)) +--R * +--R sinh(n log(sinh(b x + a))) +--R + +--R 3 2 +--R ((n + 1)sinh(b x + a) + ((3n + 3)cosh(b x + a) + n + 9)sinh(b x + a)) +--R * +--R cosh(n log(sinh(b x + a))) +--R + +--R 4 2 2 +--R (- 4n - 4)sinh(b x + a) + (8n + 8)cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R (- 4n - 4)cosh(b x + a) +--R * +--R n + 3 +--R sinh(b x + a) +--R + +--R 4 2 2 +--R (- 4n - 12)sinh(b x + a) + (8n + 24)cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R (- 4n - 12)cosh(b x + a) +--R * +--R n + 1 +--R sinh(b x + a) +--R / +--R 2 4 +--R (4b n + 16b n + 12b)sinh(b x + a) +--R + +--R 2 2 2 +--R (- 8b n - 32b n - 24b)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 +--R (4b n + 16b n + 12b)cosh(b x + a) +--R Type: Expression Integer +--E 496 + +--S 497 of 552 +d0788:= D(m0788,x) +--R +--R +--R (489) +--R 2 3 +--R (n + 9)cosh(b x + a)sinh(b x + a) + (3n + 3)cosh(b x + a) +--R + +--R (n + 9)cosh(b x + a) +--R * +--R sinh(n log(sinh(b x + a))) +--R + +--R 2 3 +--R (n + 9)cosh(b x + a)sinh(b x + a) + (3n + 3)cosh(b x + a) +--R + +--R (n + 9)cosh(b x + a) +--R * +--R cosh(n log(sinh(b x + a))) +--R + +--R 4 +--R (- 4n - 12)cosh(b x + a)sinh(b x + a) +--R + +--R 3 2 5 +--R (8n + 24)cosh(b x + a) sinh(b x + a) + (- 4n - 12)cosh(b x + a) +--R * +--R n + 2 +--R sinh(b x + a) +--R + +--R 4 +--R (- 4n - 12)cosh(b x + a)sinh(b x + a) +--R + +--R 3 2 5 +--R (8n + 24)cosh(b x + a) sinh(b x + a) + (- 4n - 12)cosh(b x + a) +--R * +--R n +--R sinh(b x + a) +--R / +--R 4 2 2 +--R (4n + 12)sinh(b x + a) + (- 8n - 24)cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R (4n + 12)cosh(b x + a) +--R Type: Expression Integer +--E 497 + +--S 498 of 552 +t0789:= cosh(a+b*x)^5*sinh(a+b*x)^n +--R +--R +--R 5 n +--R (490) cosh(b x + a) sinh(b x + a) +--R Type: Expression Integer +--E 498 + +--S 499 of 552 +r0789:= sinh(a+b*x)^(1+n)/b/(1+n)+2*sinh(a+b*x)^(3+n)/b/(3+n)+_ + sinh(a+b*x)^(5+n)/b/(5+n) +--R +--R +--R (491) +--R 2 n + 5 2 n + 3 +--R (n + 4n + 3)sinh(b x + a) + (2n + 12n + 10)sinh(b x + a) +--R + +--R 2 n + 1 +--R (n + 8n + 15)sinh(b x + a) +--R / +--R 3 2 +--R b n + 9b n + 23b n + 15b +--R Type: Expression Integer +--E 499 + +--S 500 of 552 +a0789:= integrate(t0789,x) +--R +--R +--R (492) +--R 2 5 +--R (- n - 4n - 3)sinh(b x + a) +--R + +--R 2 2 2 3 +--R ((- 10n - 40n - 30)cosh(b x + a) - 3n - 28n - 25)sinh(b x + a) +--R + +--R 2 4 +--R (- 5n - 20n - 15)cosh(b x + a) +--R + +--R 2 2 2 +--R (- 9n - 84n - 75)cosh(b x + a) - 2n - 24n - 150 +--R * +--R sinh(b x + a) +--R * +--R sinh(n log(sinh(b x + a))) +--R + +--R 2 5 +--R (- n - 4n - 3)sinh(b x + a) +--R + +--R 2 2 2 3 +--R ((- 10n - 40n - 30)cosh(b x + a) - 3n - 28n - 25)sinh(b x + a) +--R + +--R 2 4 +--R (- 5n - 20n - 15)cosh(b x + a) +--R + +--R 2 2 2 +--R (- 9n - 84n - 75)cosh(b x + a) - 2n - 24n - 150 +--R * +--R sinh(b x + a) +--R * +--R cosh(n log(sinh(b x + a))) +--R / +--R 3 2 6 +--R (16b n + 144b n + 368b n + 240b)sinh(b x + a) +--R + +--R 3 2 2 4 +--R (- 48b n - 432b n - 1104b n - 720b)cosh(b x + a) sinh(b x + a) +--R + +--R 3 2 4 2 +--R (48b n + 432b n + 1104b n + 720b)cosh(b x + a) sinh(b x + a) +--R + +--R 3 2 6 +--R (- 16b n - 144b n - 368b n - 240b)cosh(b x + a) +--R Type: Union(Expression Integer,...) +--E 500 + +--S 501 of 552 +m0789:= a0789-r0789 +--R +--R +--R (493) +--R 2 5 +--R (- n - 4n - 3)sinh(b x + a) +--R + +--R 2 2 2 3 +--R ((- 10n - 40n - 30)cosh(b x + a) - 3n - 28n - 25)sinh(b x + a) +--R + +--R 2 4 +--R (- 5n - 20n - 15)cosh(b x + a) +--R + +--R 2 2 2 +--R (- 9n - 84n - 75)cosh(b x + a) - 2n - 24n - 150 +--R * +--R sinh(b x + a) +--R * +--R sinh(n log(sinh(b x + a))) +--R + +--R 2 5 +--R (- n - 4n - 3)sinh(b x + a) +--R + +--R 2 2 2 3 +--R ((- 10n - 40n - 30)cosh(b x + a) - 3n - 28n - 25)sinh(b x + a) +--R + +--R 2 4 +--R (- 5n - 20n - 15)cosh(b x + a) +--R + +--R 2 2 2 +--R (- 9n - 84n - 75)cosh(b x + a) - 2n - 24n - 150 +--R * +--R sinh(b x + a) +--R * +--R cosh(n log(sinh(b x + a))) +--R + +--R 2 6 +--R (- 16n - 64n - 48)sinh(b x + a) +--R + +--R 2 2 4 +--R (48n + 192n + 144)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 2 +--R (- 48n - 192n - 144)cosh(b x + a) sinh(b x + a) +--R + +--R 2 6 +--R (16n + 64n + 48)cosh(b x + a) +--R * +--R n + 5 +--R sinh(b x + a) +--R + +--R 2 6 +--R (- 32n - 192n - 160)sinh(b x + a) +--R + +--R 2 2 4 +--R (96n + 576n + 480)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 2 +--R (- 96n - 576n - 480)cosh(b x + a) sinh(b x + a) +--R + +--R 2 6 +--R (32n + 192n + 160)cosh(b x + a) +--R * +--R n + 3 +--R sinh(b x + a) +--R + +--R 2 6 +--R (- 16n - 128n - 240)sinh(b x + a) +--R + +--R 2 2 4 +--R (48n + 384n + 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 2 +--R (- 48n - 384n - 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 6 +--R (16n + 128n + 240)cosh(b x + a) +--R * +--R n + 1 +--R sinh(b x + a) +--R / +--R 3 2 6 +--R (16b n + 144b n + 368b n + 240b)sinh(b x + a) +--R + +--R 3 2 2 4 +--R (- 48b n - 432b n - 1104b n - 720b)cosh(b x + a) sinh(b x + a) +--R + +--R 3 2 4 2 +--R (48b n + 432b n + 1104b n + 720b)cosh(b x + a) sinh(b x + a) +--R + +--R 3 2 6 +--R (- 16b n - 144b n - 368b n - 240b)cosh(b x + a) +--R Type: Expression Integer +--E 501 + +--S 502 of 552 +d0789:= D(m0789,x) +--R +--R +--R (494) +--R 2 4 +--R (- n - 28n - 75)cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 +--R (- 10n - 80n - 150)cosh(b x + a) +--R + +--R 2 +--R (- 3n - 52n - 225)cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 2 5 2 3 +--R (- 5n - 20n - 15)cosh(b x + a) + (- 9n - 84n - 75)cosh(b x + a) +--R + +--R 2 +--R (- 2n - 24n - 150)cosh(b x + a) +--R * +--R sinh(n log(sinh(b x + a))) +--R + +--R 2 4 +--R (- n - 28n - 75)cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 +--R (- 10n - 80n - 150)cosh(b x + a) +--R + +--R 2 +--R (- 3n - 52n - 225)cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 2 5 2 3 +--R (- 5n - 20n - 15)cosh(b x + a) + (- 9n - 84n - 75)cosh(b x + a) +--R + +--R 2 +--R (- 2n - 24n - 150)cosh(b x + a) +--R * +--R cosh(n log(sinh(b x + a))) +--R + +--R 2 6 +--R (- 16n - 128n - 240)cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 4 +--R (48n + 384n + 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 5 2 +--R (- 48n - 384n - 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 7 +--R (16n + 128n + 240)cosh(b x + a) +--R * +--R n + 4 +--R sinh(b x + a) +--R + +--R 2 6 +--R (- 32n - 256n - 480)cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 4 +--R (96n + 768n + 1440)cosh(b x + a) sinh(b x + a) +--R + +--R 2 5 2 +--R (- 96n - 768n - 1440)cosh(b x + a) sinh(b x + a) +--R + +--R 2 7 +--R (32n + 256n + 480)cosh(b x + a) +--R * +--R n + 2 +--R sinh(b x + a) +--R + +--R 2 6 +--R (- 16n - 128n - 240)cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 4 +--R (48n + 384n + 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 5 2 +--R (- 48n - 384n - 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 7 +--R (16n + 128n + 240)cosh(b x + a) +--R * +--R n +--R sinh(b x + a) +--R / +--R 2 6 +--R (16n + 128n + 240)sinh(b x + a) +--R + +--R 2 2 4 +--R (- 48n - 384n - 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 2 +--R (48n + 384n + 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 6 +--R (- 16n - 128n - 240)cosh(b x + a) +--R Type: Expression Integer +--E 502 + +--S 503 of 552 +t0790:= cosh(a+b*x)^m*sinh(a+b*x)^3 +--R +--R +--R 3 m +--R (495) sinh(b x + a) cosh(b x + a) +--R Type: Expression Integer +--E 503 + +--S 504 of 552 +r0790:= -cosh(a+b*x)^(1+m)/b/(1+m)+cosh(a+b*x)^(3+m)/b/(3+m) +--R +--R +--R m + 3 m + 1 +--R (m + 1)cosh(b x + a) + (- m - 3)cosh(b x + a) +--R (496) ------------------------------------------------------- +--R 2 +--R b m + 4b m + 3b +--R Type: Expression Integer +--E 504 + +--S 505 of 552 +a0790:= integrate(t0790,x) +--R +--R +--R (497) +--R 2 3 +--R (3m + 3)cosh(b x + a)sinh(b x + a) + (m + 1)cosh(b x + a) +--R + +--R (- m - 9)cosh(b x + a) +--R * +--R sinh(m log(cosh(b x + a))) +--R + +--R 2 3 +--R (3m + 3)cosh(b x + a)sinh(b x + a) + (m + 1)cosh(b x + a) +--R + +--R (- m - 9)cosh(b x + a) +--R * +--R cosh(m log(cosh(b x + a))) +--R / +--R 2 4 +--R (4b m + 16b m + 12b)sinh(b x + a) +--R + +--R 2 2 2 +--R (- 8b m - 32b m - 24b)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 +--R (4b m + 16b m + 12b)cosh(b x + a) +--R Type: Union(Expression Integer,...) +--E 505 + +--S 506 of 552 +m0790:= a0790-r0790 +--R +--R +--R (498) +--R 2 3 +--R (3m + 3)cosh(b x + a)sinh(b x + a) + (m + 1)cosh(b x + a) +--R + +--R (- m - 9)cosh(b x + a) +--R * +--R sinh(m log(cosh(b x + a))) +--R + +--R 2 3 +--R (3m + 3)cosh(b x + a)sinh(b x + a) + (m + 1)cosh(b x + a) +--R + +--R (- m - 9)cosh(b x + a) +--R * +--R cosh(m log(cosh(b x + a))) +--R + +--R 4 2 2 +--R (- 4m - 4)sinh(b x + a) + (8m + 8)cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R (- 4m - 4)cosh(b x + a) +--R * +--R m + 3 +--R cosh(b x + a) +--R + +--R 4 2 2 +--R (4m + 12)sinh(b x + a) + (- 8m - 24)cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R (4m + 12)cosh(b x + a) +--R * +--R m + 1 +--R cosh(b x + a) +--R / +--R 2 4 +--R (4b m + 16b m + 12b)sinh(b x + a) +--R + +--R 2 2 2 +--R (- 8b m - 32b m - 24b)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 +--R (4b m + 16b m + 12b)cosh(b x + a) +--R Type: Expression Integer +--E 506 + +--S 507 of 552 +d0790:= D(m0790,x) +--R +--R +--R (499) +--R 3 2 +--R ((3m + 3)sinh(b x + a) + ((m + 9)cosh(b x + a) - m - 9)sinh(b x + a)) +--R * +--R sinh(m log(cosh(b x + a))) +--R + +--R 3 2 +--R ((3m + 3)sinh(b x + a) + ((m + 9)cosh(b x + a) - m - 9)sinh(b x + a)) +--R * +--R cosh(m log(cosh(b x + a))) +--R + +--R 5 2 3 +--R (- 4m - 12)sinh(b x + a) + (8m + 24)cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R (- 4m - 12)cosh(b x + a) sinh(b x + a) +--R * +--R m + 2 +--R cosh(b x + a) +--R + +--R 5 2 3 +--R (4m + 12)sinh(b x + a) + (- 8m - 24)cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R (4m + 12)cosh(b x + a) sinh(b x + a) +--R * +--R m +--R cosh(b x + a) +--R / +--R 4 2 2 +--R (4m + 12)sinh(b x + a) + (- 8m - 24)cosh(b x + a) sinh(b x + a) +--R + +--R 4 +--R (4m + 12)cosh(b x + a) +--R Type: Expression Integer +--E 507 + +--S 508 of 552 +t0791:= cosh(a+b*x)^m*sinh(a+b*x)^5 +--R +--R +--R 5 m +--R (500) sinh(b x + a) cosh(b x + a) +--R Type: Expression Integer +--E 508 + +--S 509 of 552 +r0791:= cosh(a+b*x)^(1+m)/b/(1+m)-2*cosh(a+b*x)^(3+m)/b/(3+m)+_ + cosh(a+b*x)^(5+m)/b/(5+m) +--R +--R +--R (501) +--R 2 m + 5 2 m + 3 +--R (m + 4m + 3)cosh(b x + a) + (- 2m - 12m - 10)cosh(b x + a) +--R + +--R 2 m + 1 +--R (m + 8m + 15)cosh(b x + a) +--R / +--R 3 2 +--R b m + 9b m + 23b m + 15b +--R Type: Expression Integer +--E 509 + +--S 510 of 552 +a0791:= integrate(t0791,x) +--R +--R +--R (502) +--R 2 4 +--R (- 5m - 20m - 15)cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 2 +--R ((- 10m - 40m - 30)cosh(b x + a) + (9m + 84m + 75)cosh(b x + a)) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 2 5 2 3 +--R (- m - 4m - 3)cosh(b x + a) + (3m + 28m + 25)cosh(b x + a) +--R + +--R 2 +--R (- 2m - 24m - 150)cosh(b x + a) +--R * +--R sinh(m log(cosh(b x + a))) +--R + +--R 2 4 +--R (- 5m - 20m - 15)cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 2 +--R ((- 10m - 40m - 30)cosh(b x + a) + (9m + 84m + 75)cosh(b x + a)) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 2 5 2 3 +--R (- m - 4m - 3)cosh(b x + a) + (3m + 28m + 25)cosh(b x + a) +--R + +--R 2 +--R (- 2m - 24m - 150)cosh(b x + a) +--R * +--R cosh(m log(cosh(b x + a))) +--R / +--R 3 2 6 +--R (16b m + 144b m + 368b m + 240b)sinh(b x + a) +--R + +--R 3 2 2 4 +--R (- 48b m - 432b m - 1104b m - 720b)cosh(b x + a) sinh(b x + a) +--R + +--R 3 2 4 2 +--R (48b m + 432b m + 1104b m + 720b)cosh(b x + a) sinh(b x + a) +--R + +--R 3 2 6 +--R (- 16b m - 144b m - 368b m - 240b)cosh(b x + a) +--R Type: Union(Expression Integer,...) +--E 510 + +--S 511 of 552 +m0791:= a0791-r0791 +--R +--R +--R (503) +--R 2 4 +--R (- 5m - 20m - 15)cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 2 +--R ((- 10m - 40m - 30)cosh(b x + a) + (9m + 84m + 75)cosh(b x + a)) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 2 5 2 3 +--R (- m - 4m - 3)cosh(b x + a) + (3m + 28m + 25)cosh(b x + a) +--R + +--R 2 +--R (- 2m - 24m - 150)cosh(b x + a) +--R * +--R sinh(m log(cosh(b x + a))) +--R + +--R 2 4 +--R (- 5m - 20m - 15)cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 2 +--R ((- 10m - 40m - 30)cosh(b x + a) + (9m + 84m + 75)cosh(b x + a)) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 2 5 2 3 +--R (- m - 4m - 3)cosh(b x + a) + (3m + 28m + 25)cosh(b x + a) +--R + +--R 2 +--R (- 2m - 24m - 150)cosh(b x + a) +--R * +--R cosh(m log(cosh(b x + a))) +--R + +--R 2 6 +--R (- 16m - 64m - 48)sinh(b x + a) +--R + +--R 2 2 4 +--R (48m + 192m + 144)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 2 +--R (- 48m - 192m - 144)cosh(b x + a) sinh(b x + a) +--R + +--R 2 6 +--R (16m + 64m + 48)cosh(b x + a) +--R * +--R m + 5 +--R cosh(b x + a) +--R + +--R 2 6 +--R (32m + 192m + 160)sinh(b x + a) +--R + +--R 2 2 4 +--R (- 96m - 576m - 480)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 2 +--R (96m + 576m + 480)cosh(b x + a) sinh(b x + a) +--R + +--R 2 6 +--R (- 32m - 192m - 160)cosh(b x + a) +--R * +--R m + 3 +--R cosh(b x + a) +--R + +--R 2 6 +--R (- 16m - 128m - 240)sinh(b x + a) +--R + +--R 2 2 4 +--R (48m + 384m + 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 2 +--R (- 48m - 384m - 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 6 +--R (16m + 128m + 240)cosh(b x + a) +--R * +--R m + 1 +--R cosh(b x + a) +--R / +--R 3 2 6 +--R (16b m + 144b m + 368b m + 240b)sinh(b x + a) +--R + +--R 3 2 2 4 +--R (- 48b m - 432b m - 1104b m - 720b)cosh(b x + a) sinh(b x + a) +--R + +--R 3 2 4 2 +--R (48b m + 432b m + 1104b m + 720b)cosh(b x + a) sinh(b x + a) +--R + +--R 3 2 6 +--R (- 16b m - 144b m - 368b m - 240b)cosh(b x + a) +--R Type: Expression Integer +--E 511 + +--S 512 of 552 +d0791:= D(m0791,x) +--R +--R +--R (504) +--R 2 5 +--R (- 5m - 20m - 15)sinh(b x + a) +--R + +--R 2 2 2 3 +--R ((- 10m - 80m - 150)cosh(b x + a) + 9m + 84m + 75)sinh(b x + a) +--R + +--R 2 4 2 2 +--R (- m - 28m - 75)cosh(b x + a) + (3m + 52m + 225)cosh(b x + a) +--R + +--R 2 +--R - 2m - 24m - 150 +--R * +--R sinh(b x + a) +--R * +--R sinh(m log(cosh(b x + a))) +--R + +--R 2 5 +--R (- 5m - 20m - 15)sinh(b x + a) +--R + +--R 2 2 2 3 +--R ((- 10m - 80m - 150)cosh(b x + a) + 9m + 84m + 75)sinh(b x + a) +--R + +--R 2 4 2 2 +--R (- m - 28m - 75)cosh(b x + a) + (3m + 52m + 225)cosh(b x + a) +--R + +--R 2 +--R - 2m - 24m - 150 +--R * +--R sinh(b x + a) +--R * +--R cosh(m log(cosh(b x + a))) +--R + +--R 2 7 +--R (- 16m - 128m - 240)sinh(b x + a) +--R + +--R 2 2 5 +--R (48m + 384m + 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 3 +--R (- 48m - 384m - 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 6 +--R (16m + 128m + 240)cosh(b x + a) sinh(b x + a) +--R * +--R m + 4 +--R cosh(b x + a) +--R + +--R 2 7 +--R (32m + 256m + 480)sinh(b x + a) +--R + +--R 2 2 5 +--R (- 96m - 768m - 1440)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 3 +--R (96m + 768m + 1440)cosh(b x + a) sinh(b x + a) +--R + +--R 2 6 +--R (- 32m - 256m - 480)cosh(b x + a) sinh(b x + a) +--R * +--R m + 2 +--R cosh(b x + a) +--R + +--R 2 7 +--R (- 16m - 128m - 240)sinh(b x + a) +--R + +--R 2 2 5 +--R (48m + 384m + 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 3 +--R (- 48m - 384m - 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 6 +--R (16m + 128m + 240)cosh(b x + a) sinh(b x + a) +--R * +--R m +--R cosh(b x + a) +--R / +--R 2 6 +--R (16m + 128m + 240)sinh(b x + a) +--R + +--R 2 2 4 +--R (- 48m - 384m - 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 2 +--R (48m + 384m + 720)cosh(b x + a) sinh(b x + a) +--R + +--R 2 6 +--R (- 16m - 128m - 240)cosh(b x + a) +--R Type: Expression Integer +--E 512 + +--S 513 of 552 +t0792:= sech(a+b*x)^2*tanh(a+b*x)^n +--R +--R +--R 2 n +--R (505) sech(b x + a) tanh(b x + a) +--R Type: Expression Integer +--E 513 + +--S 514 of 552 +r0792:= tanh(a+b*x)^(1+n)/b/(1+n) +--R +--R +--R n + 1 +--R tanh(b x + a) +--R (506) ------------------ +--R b n + b +--R Type: Expression Integer +--E 514 + +--S 515 of 552 +a0792:= integrate(t0792,x) +--R +--R +--R (507) +--R sinh(b x + a) +--R sinh(b x + a)sinh(n log(-------------)) +--R cosh(b x + a) +--R + +--R sinh(b x + a) +--R sinh(b x + a)cosh(n log(-------------)) +--R cosh(b x + a) +--R / +--R (b n + b)cosh(b x + a) +--R Type: Union(Expression Integer,...) +--E 515 + +--S 516 of 552 +m0792:= a0792-r0792 +--R +--R +--R (508) +--R sinh(b x + a) +--R sinh(b x + a)sinh(n log(-------------)) +--R cosh(b x + a) +--R + +--R sinh(b x + a) n + 1 +--R sinh(b x + a)cosh(n log(-------------)) - cosh(b x + a)tanh(b x + a) +--R cosh(b x + a) +--R / +--R (b n + b)cosh(b x + a) +--R Type: Expression Integer +--E 516 + +--S 517 of 552 +d0792:= D(m0792,x) +--R +--R +--R (509) +--R 2 2 sinh(b x + a) +--R (- sinh(b x + a) + cosh(b x + a) )sinh(n log(-------------)) +--R cosh(b x + a) +--R + +--R 2 2 sinh(b x + a) +--R (- sinh(b x + a) + cosh(b x + a) )cosh(n log(-------------)) +--R cosh(b x + a) +--R + +--R 2 2 2 n +--R (cosh(b x + a) tanh(b x + a) - cosh(b x + a) )tanh(b x + a) +--R / +--R 2 +--R cosh(b x + a) +--R Type: Expression Integer +--E 517 + +--S 518 of 552 +t0793:= sech(a+b*x)^n*tanh(a+b*x)^3 +--R +--R +--R 3 n +--R (510) tanh(b x + a) sech(b x + a) +--R Type: Expression Integer +--E 518 + +--S 519 of 552 +r0793:= -sech(a+b*x)^n/b/n+sech(a+b*x)^(2+n)/b/(2+n) +--R +--R +--R n + 2 n +--R n sech(b x + a) + (- n - 2)sech(b x + a) +--R (511) ---------------------------------------------- +--R 2 +--R b n + 2b n +--R Type: Expression Integer +--E 519 + +--S 520 of 552 +a0793:= integrate(t0793,x) +--R +--R +--R (512) +--R 2 2 +--R ((- n - 2)sinh(b x + a) + (- n - 2)cosh(b x + a) + n - 2) +--R * +--R sinh +--R n +--R * +--R log +--R 2sinh(b x + a) + 2cosh(b x + a) +--R / +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) + 1 +--R + +--R 2 2 +--R ((- n - 2)sinh(b x + a) + (- n - 2)cosh(b x + a) + n - 2) +--R * +--R cosh +--R n +--R * +--R log +--R 2sinh(b x + a) + 2cosh(b x + a) +--R / +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) + 1 +--R / +--R 2 2 2 2 2 +--R (b n + 2b n)sinh(b x + a) + (b n + 2b n)cosh(b x + a) + b n + 2b n +--R Type: Union(Expression Integer,...) +--E 520 + +--S 521 of 552 +m0793:= a0793-r0793 +--R +--R +--R (513) +--R 2 2 +--R ((- n - 2)sinh(b x + a) + (- n - 2)cosh(b x + a) + n - 2) +--R * +--R sinh +--R n +--R * +--R log +--R 2sinh(b x + a) + 2cosh(b x + a) +--R / +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) + 1 +--R + +--R 2 2 +--R ((- n - 2)sinh(b x + a) + (- n - 2)cosh(b x + a) + n - 2) +--R * +--R cosh +--R n +--R * +--R log +--R 2sinh(b x + a) + 2cosh(b x + a) +--R / +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) + 1 +--R + +--R 2 2 n + 2 +--R (- n sinh(b x + a) - n cosh(b x + a) - n)sech(b x + a) +--R + +--R 2 2 n +--R ((n + 2)sinh(b x + a) + (n + 2)cosh(b x + a) + n + 2)sech(b x + a) +--R / +--R 2 2 2 2 2 +--R (b n + 2b n)sinh(b x + a) + (b n + 2b n)cosh(b x + a) + b n + 2b n +--R Type: Expression Integer +--E 521 + +--S 522 of 552 +d0793:= D(m0793,x) +--R +--R +--R (514) +--R 6 5 +--R (n + 2)sinh(b x + a) + (2n + 4)cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R ((3n + 6)cosh(b x + a) - n + 2)sinh(b x + a) +--R + +--R 3 3 +--R (4n + 8)cosh(b x + a) sinh(b x + a) +--R + +--R 4 2 +--R ((3n + 6)cosh(b x + a) + (- 2n - 12)cosh(b x + a) - n - 2) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 5 +--R ((2n + 4)cosh(b x + a) + (- 2n - 4)cosh(b x + a))sinh(b x + a) +--R + +--R 6 4 +--R (n + 2)cosh(b x + a) + (- n + 2)cosh(b x + a) +--R + +--R 2 +--R (- n - 2)cosh(b x + a) + n - 2 +--R * +--R sinh +--R n +--R * +--R log +--R 2sinh(b x + a) + 2cosh(b x + a) +--R / +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) + 1 +--R + +--R 6 5 +--R (n + 2)sinh(b x + a) + (2n + 4)cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R ((3n + 6)cosh(b x + a) - n + 2)sinh(b x + a) +--R + +--R 3 3 +--R (4n + 8)cosh(b x + a) sinh(b x + a) +--R + +--R 4 2 +--R ((3n + 6)cosh(b x + a) + (- 2n - 12)cosh(b x + a) - n - 2) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 5 +--R ((2n + 4)cosh(b x + a) + (- 2n - 4)cosh(b x + a))sinh(b x + a) +--R + +--R 6 4 +--R (n + 2)cosh(b x + a) + (- n + 2)cosh(b x + a) +--R + +--R 2 +--R (- n - 2)cosh(b x + a) + n - 2 +--R * +--R cosh +--R n +--R * +--R log +--R 2sinh(b x + a) + 2cosh(b x + a) +--R / +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) + 1 +--R + +--R 6 +--R (n + 2)sech(b x + a)sinh(b x + a) +--R + +--R 5 +--R (2n + 4)cosh(b x + a)sech(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R ((3n + 6)cosh(b x + a) + 3n + 6)sech(b x + a)sinh(b x + a) +--R + +--R 3 +--R ((4n + 8)cosh(b x + a) + (4n + 8)cosh(b x + a))sech(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 4 2 +--R ((3n + 6)cosh(b x + a) + (6n + 12)cosh(b x + a) + 3n + 6) +--R * +--R 2 +--R sech(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (2n + 4)cosh(b x + a) + (4n + 8)cosh(b x + a) +--R + +--R (2n + 4)cosh(b x + a) +--R * +--R sech(b x + a)sinh(b x + a) +--R + +--R 6 4 +--R (n + 2)cosh(b x + a) + (3n + 6)cosh(b x + a) +--R + +--R 2 +--R (3n + 6)cosh(b x + a) + n + 2 +--R * +--R sech(b x + a) +--R * +--R n + 1 +--R tanh(b x + a)sech(b x + a) +--R + +--R 6 +--R (- n - 2)sech(b x + a)sinh(b x + a) +--R + +--R 5 +--R (- 2n - 4)cosh(b x + a)sech(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R ((- 3n - 6)cosh(b x + a) - 3n - 6)sech(b x + a)sinh(b x + a) +--R + +--R 3 +--R ((- 4n - 8)cosh(b x + a) + (- 4n - 8)cosh(b x + a))sech(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 4 2 +--R ((- 3n - 6)cosh(b x + a) + (- 6n - 12)cosh(b x + a) - 3n - 6) +--R * +--R 2 +--R sech(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (- 2n - 4)cosh(b x + a) + (- 4n - 8)cosh(b x + a) +--R + +--R (- 2n - 4)cosh(b x + a) +--R * +--R sech(b x + a)sinh(b x + a) +--R + +--R 6 4 +--R (- n - 2)cosh(b x + a) + (- 3n - 6)cosh(b x + a) +--R + +--R 2 +--R (- 3n - 6)cosh(b x + a) - n - 2 +--R * +--R sech(b x + a) +--R * +--R n - 1 +--R tanh(b x + a)sech(b x + a) +--R / +--R 6 5 +--R (n + 2)sinh(b x + a) + (2n + 4)cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R ((3n + 6)cosh(b x + a) + 3n + 6)sinh(b x + a) +--R + +--R 3 3 +--R ((4n + 8)cosh(b x + a) + (4n + 8)cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 2 +--R ((3n + 6)cosh(b x + a) + (6n + 12)cosh(b x + a) + 3n + 6)sinh(b x + a) +--R + +--R 5 3 +--R (2n + 4)cosh(b x + a) + (4n + 8)cosh(b x + a) +--R + +--R (2n + 4)cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (n + 2)cosh(b x + a) + (3n + 6)cosh(b x + a) + (3n + 6)cosh(b x + a) +--R + +--R n + 2 +--R Type: Expression Integer +--E 522 + +--S 523 of 552 +t0794:= sech(a+b*x)^4*tanh(a+b*x)^(1/2) +--R +--R +--R 4 +-------------+ +--R (515) sech(b x + a) \|tanh(b x + a) +--R Type: Expression Integer +--E 523 + +--S 524 of 552 +r0794:= -2/21*tanh(a+b*x)^(3/2)*(-7+3*tanh(a+b*x)^2)/b +--R +--R +--R 3 +-------------+ +--R (- 6tanh(b x + a) + 14tanh(b x + a))\|tanh(b x + a) +--R (516) ----------------------------------------------------- +--R 21b +--R Type: Expression Integer +--E 524 + +--S 525 of 552 +a0794:= integrate(t0794,x) +--R +--R +--R (517) +--R 10 9 +--R 672sinh(b x + a) + 6720cosh(b x + a)sinh(b x + a) +--R + +--R 2 8 +--R (30240cosh(b x + a) + 784)sinh(b x + a) +--R + +--R 3 7 +--R (80640cosh(b x + a) + 6272cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 6 +--R (141120cosh(b x + a) + 21952cosh(b x + a) - 168)sinh(b x + a) +--R + +--R 5 3 +--R (169344cosh(b x + a) + 43904cosh(b x + a) - 1008cosh(b x + a)) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 141120cosh(b x + a) + 54880cosh(b x + a) - 2520cosh(b x + a) +--R + +--R - 336 +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 80640cosh(b x + a) + 43904cosh(b x + a) - 3360cosh(b x + a) +--R + +--R - 1344cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R 30240cosh(b x + a) + 21952cosh(b x + a) - 2520cosh(b x + a) +--R + +--R 2 +--R - 2016cosh(b x + a) - 56 +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R 6720cosh(b x + a) + 6272cosh(b x + a) - 1008cosh(b x + a) +--R + +--R 3 +--R - 1344cosh(b x + a) - 112cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 10 8 6 +--R 672cosh(b x + a) + 784cosh(b x + a) - 168cosh(b x + a) +--R + +--R 4 2 +--R - 336cosh(b x + a) - 56cosh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 10 9 +--R - 672sinh(b x + a) - 6720cosh(b x + a)sinh(b x + a) +--R + +--R 2 8 +--R (- 30240cosh(b x + a) - 112)sinh(b x + a) +--R + +--R 3 7 +--R (- 80640cosh(b x + a) - 896cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 6 +--R (- 141120cosh(b x + a) - 3136cosh(b x + a) + 616)sinh(b x + a) +--R + +--R 5 3 +--R (- 169344cosh(b x + a) - 6272cosh(b x + a) + 3696cosh(b x + a)) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 141120cosh(b x + a) - 7840cosh(b x + a) + 9240cosh(b x + a) +--R + +--R 112 +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R - 80640cosh(b x + a) - 6272cosh(b x + a) + 12320cosh(b x + a) +--R + +--R 448cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R - 30240cosh(b x + a) - 3136cosh(b x + a) + 9240cosh(b x + a) +--R + +--R 2 +--R 672cosh(b x + a) - 56 +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R - 6720cosh(b x + a) - 896cosh(b x + a) + 3696cosh(b x + a) +--R + +--R 3 +--R 448cosh(b x + a) - 112cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 10 8 6 +--R - 672cosh(b x + a) - 112cosh(b x + a) + 616cosh(b x + a) +--R + +--R 4 2 +--R 112cosh(b x + a) - 56cosh(b x + a) - 16 +--R / +--R 14 13 +--R 168b sinh(b x + a) + 2352b cosh(b x + a)sinh(b x + a) +--R + +--R 2 12 +--R (15288b cosh(b x + a) + 756b)sinh(b x + a) +--R + +--R 3 11 +--R (61152b cosh(b x + a) + 9072b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 +--R (168168b cosh(b x + a) + 49896b cosh(b x + a) + 1260b) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 5 3 +--R 336336b cosh(b x + a) + 166320b cosh(b x + a) +--R + +--R 12600b cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 6 4 +--R 504504b cosh(b x + a) + 374220b cosh(b x + a) +--R + +--R 2 +--R 56700b cosh(b x + a) + 819b +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 7 5 +--R 576576b cosh(b x + a) + 598752b cosh(b x + a) +--R + +--R 3 +--R 151200b cosh(b x + a) + 6552b cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 8 6 +--R 504504b cosh(b x + a) + 698544b cosh(b x + a) +--R + +--R 4 2 +--R 264600b cosh(b x + a) + 22932b cosh(b x + a) - 84b +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 9 7 +--R 336336b cosh(b x + a) + 598752b cosh(b x + a) +--R + +--R 5 3 +--R 317520b cosh(b x + a) + 45864b cosh(b x + a) - 504b cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 10 8 +--R 168168b cosh(b x + a) + 374220b cosh(b x + a) +--R + +--R 6 4 +--R 264600b cosh(b x + a) + 57330b cosh(b x + a) +--R + +--R 2 +--R - 1260b cosh(b x + a) - 378b +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 11 9 +--R 61152b cosh(b x + a) + 166320b cosh(b x + a) +--R + +--R 7 5 +--R 151200b cosh(b x + a) + 45864b cosh(b x + a) +--R + +--R 3 +--R - 1680b cosh(b x + a) - 1512b cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 12 10 +--R 15288b cosh(b x + a) + 49896b cosh(b x + a) +--R + +--R 8 6 +--R 56700b cosh(b x + a) + 22932b cosh(b x + a) +--R + +--R 4 2 +--R - 1260b cosh(b x + a) - 2268b cosh(b x + a) - 168b +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 13 11 +--R 2352b cosh(b x + a) + 9072b cosh(b x + a) +--R + +--R 9 7 +--R 12600b cosh(b x + a) + 6552b cosh(b x + a) +--R + +--R 5 3 +--R - 504b cosh(b x + a) - 1512b cosh(b x + a) - 336b cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 14 12 10 +--R 168b cosh(b x + a) + 756b cosh(b x + a) + 1260b cosh(b x + a) +--R + +--R 8 6 4 +--R 819b cosh(b x + a) - 84b cosh(b x + a) - 378b cosh(b x + a) +--R + +--R 2 +--R - 168b cosh(b x + a) - 21b +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 14 13 +--R - 168b sinh(b x + a) - 2352b cosh(b x + a)sinh(b x + a) +--R + +--R 2 12 +--R (- 15288b cosh(b x + a) - 588b)sinh(b x + a) +--R + +--R 3 11 +--R (- 61152b cosh(b x + a) - 7056b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 10 +--R (- 168168b cosh(b x + a) - 38808b cosh(b x + a) - 588b)sinh(b x + a) +--R + +--R 5 3 +--R - 336336b cosh(b x + a) - 129360b cosh(b x + a) +--R + +--R - 5880b cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 6 4 +--R - 504504b cosh(b x + a) - 291060b cosh(b x + a) +--R + +--R 2 +--R - 26460b cosh(b x + a) + 147b +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 7 5 +--R - 576576b cosh(b x + a) - 465696b cosh(b x + a) +--R + +--R 3 +--R - 70560b cosh(b x + a) + 1176b cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 8 6 +--R - 504504b cosh(b x + a) - 543312b cosh(b x + a) +--R + +--R 4 2 +--R - 123480b cosh(b x + a) + 4116b cosh(b x + a) + 588b +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 336336b cosh(b x + a) - 465696b cosh(b x + a) +--R + +--R 5 3 +--R - 148176b cosh(b x + a) + 8232b cosh(b x + a) + 3528b cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 168168b cosh(b x + a) - 291060b cosh(b x + a) +--R + +--R 6 4 +--R - 123480b cosh(b x + a) + 10290b cosh(b x + a) +--R + +--R 2 +--R 8820b cosh(b x + a) + 294b +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 61152b cosh(b x + a) - 129360b cosh(b x + a) +--R + +--R 7 5 +--R - 70560b cosh(b x + a) + 8232b cosh(b x + a) +--R + +--R 3 +--R 11760b cosh(b x + a) + 1176b cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 12 10 +--R - 15288b cosh(b x + a) - 38808b cosh(b x + a) +--R + +--R 8 6 4 +--R - 26460b cosh(b x + a) + 4116b cosh(b x + a) + 8820b cosh(b x + a) +--R + +--R 2 +--R 1764b cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 13 11 +--R - 2352b cosh(b x + a) - 7056b cosh(b x + a) +--R + +--R 9 7 5 +--R - 5880b cosh(b x + a) + 1176b cosh(b x + a) + 3528b cosh(b x + a) +--R + +--R 3 +--R 1176b cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 14 12 10 +--R - 168b cosh(b x + a) - 588b cosh(b x + a) - 588b cosh(b x + a) +--R + +--R 8 6 4 +--R 147b cosh(b x + a) + 588b cosh(b x + a) + 294b cosh(b x + a) - 21b +--R Type: Union(Expression Integer,...) +--E 525 + +--S 526 of 552 +m0794:= a0794-r0794 +--R +--R +--R (518) +--R 14 13 +--R 48sinh(b x + a) + 672cosh(b x + a)sinh(b x + a) +--R + +--R 2 12 +--R (4368cosh(b x + a) + 216)sinh(b x + a) +--R + +--R 3 11 +--R (17472cosh(b x + a) + 2592cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 +--R (48048cosh(b x + a) + 14256cosh(b x + a) + 360) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 5 3 +--R 96096cosh(b x + a) + 47520cosh(b x + a) +--R + +--R 3600cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 6 4 +--R 144144cosh(b x + a) + 106920cosh(b x + a) +--R + +--R 2 +--R 16200cosh(b x + a) + 234 +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 7 5 +--R 164736cosh(b x + a) + 171072cosh(b x + a) +--R + +--R 3 +--R 43200cosh(b x + a) + 1872cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 8 6 +--R 144144cosh(b x + a) + 199584cosh(b x + a) +--R + +--R 4 2 +--R 75600cosh(b x + a) + 6552cosh(b x + a) - 24 +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 9 7 +--R 96096cosh(b x + a) + 171072cosh(b x + a) +--R + +--R 5 3 +--R 90720cosh(b x + a) + 13104cosh(b x + a) +--R + +--R - 144cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 10 8 +--R 48048cosh(b x + a) + 106920cosh(b x + a) +--R + +--R 6 4 +--R 75600cosh(b x + a) + 16380cosh(b x + a) +--R + +--R 2 +--R - 360cosh(b x + a) - 108 +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 11 9 +--R 17472cosh(b x + a) + 47520cosh(b x + a) +--R + +--R 7 5 +--R 43200cosh(b x + a) + 13104cosh(b x + a) +--R + +--R 3 +--R - 480cosh(b x + a) - 432cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 12 10 +--R 4368cosh(b x + a) + 14256cosh(b x + a) +--R + +--R 8 6 +--R 16200cosh(b x + a) + 6552cosh(b x + a) +--R + +--R 4 2 +--R - 360cosh(b x + a) - 648cosh(b x + a) - 48 +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 13 11 +--R 672cosh(b x + a) + 2592cosh(b x + a) +--R + +--R 9 7 +--R 3600cosh(b x + a) + 1872cosh(b x + a) +--R + +--R 5 3 +--R - 144cosh(b x + a) - 432cosh(b x + a) - 96cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 14 12 10 +--R 48cosh(b x + a) + 216cosh(b x + a) + 360cosh(b x + a) +--R + +--R 8 6 4 +--R 234cosh(b x + a) - 24cosh(b x + a) - 108cosh(b x + a) +--R + +--R 2 +--R - 48cosh(b x + a) - 6 +--R * +--R 3 +--R tanh(b x + a) +--R + +--R 14 13 +--R - 112sinh(b x + a) - 1568cosh(b x + a)sinh(b x + a) +--R + +--R 2 12 +--R (- 10192cosh(b x + a) - 504)sinh(b x + a) +--R + +--R 3 11 +--R (- 40768cosh(b x + a) - 6048cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 +--R (- 112112cosh(b x + a) - 33264cosh(b x + a) - 840) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 5 3 +--R - 224224cosh(b x + a) - 110880cosh(b x + a) +--R + +--R - 8400cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 6 4 +--R - 336336cosh(b x + a) - 249480cosh(b x + a) +--R + +--R 2 +--R - 37800cosh(b x + a) - 546 +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 7 5 +--R - 384384cosh(b x + a) - 399168cosh(b x + a) +--R + +--R 3 +--R - 100800cosh(b x + a) - 4368cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 8 6 +--R - 336336cosh(b x + a) - 465696cosh(b x + a) +--R + +--R 4 2 +--R - 176400cosh(b x + a) - 15288cosh(b x + a) + 56 +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 224224cosh(b x + a) - 399168cosh(b x + a) +--R + +--R 5 3 +--R - 211680cosh(b x + a) - 30576cosh(b x + a) +--R + +--R 336cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 112112cosh(b x + a) - 249480cosh(b x + a) +--R + +--R 6 4 +--R - 176400cosh(b x + a) - 38220cosh(b x + a) +--R + +--R 2 +--R 840cosh(b x + a) + 252 +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 40768cosh(b x + a) - 110880cosh(b x + a) +--R + +--R 7 5 +--R - 100800cosh(b x + a) - 30576cosh(b x + a) +--R + +--R 3 +--R 1120cosh(b x + a) + 1008cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 12 10 +--R - 10192cosh(b x + a) - 33264cosh(b x + a) +--R + +--R 8 6 +--R - 37800cosh(b x + a) - 15288cosh(b x + a) +--R + +--R 4 2 +--R 840cosh(b x + a) + 1512cosh(b x + a) + 112 +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 13 11 +--R - 1568cosh(b x + a) - 6048cosh(b x + a) +--R + +--R 9 7 +--R - 8400cosh(b x + a) - 4368cosh(b x + a) +--R + +--R 5 3 +--R 336cosh(b x + a) + 1008cosh(b x + a) + 224cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 14 12 +--R - 112cosh(b x + a) - 504cosh(b x + a) +--R + +--R 10 8 6 +--R - 840cosh(b x + a) - 546cosh(b x + a) + 56cosh(b x + a) +--R + +--R 4 2 +--R 252cosh(b x + a) + 112cosh(b x + a) + 14 +--R * +--R tanh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 14 13 +--R - 48sinh(b x + a) - 672cosh(b x + a)sinh(b x + a) +--R + +--R 2 12 +--R (- 4368cosh(b x + a) - 168)sinh(b x + a) +--R + +--R 3 11 +--R (- 17472cosh(b x + a) - 2016cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 +--R (- 48048cosh(b x + a) - 11088cosh(b x + a) - 168) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 5 3 +--R - 96096cosh(b x + a) - 36960cosh(b x + a) +--R + +--R - 1680cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 6 4 +--R - 144144cosh(b x + a) - 83160cosh(b x + a) +--R + +--R 2 +--R - 7560cosh(b x + a) + 42 +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 7 5 +--R - 164736cosh(b x + a) - 133056cosh(b x + a) +--R + +--R 3 +--R - 20160cosh(b x + a) + 336cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 8 6 +--R - 144144cosh(b x + a) - 155232cosh(b x + a) +--R + +--R 4 2 +--R - 35280cosh(b x + a) + 1176cosh(b x + a) + 168 +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 96096cosh(b x + a) - 133056cosh(b x + a) +--R + +--R 5 3 +--R - 42336cosh(b x + a) + 2352cosh(b x + a) + 1008cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 48048cosh(b x + a) - 83160cosh(b x + a) +--R + +--R 6 4 +--R - 35280cosh(b x + a) + 2940cosh(b x + a) +--R + +--R 2 +--R 2520cosh(b x + a) + 84 +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 17472cosh(b x + a) - 36960cosh(b x + a) +--R + +--R 7 5 +--R - 20160cosh(b x + a) + 2352cosh(b x + a) +--R + +--R 3 +--R 3360cosh(b x + a) + 336cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 12 10 +--R - 4368cosh(b x + a) - 11088cosh(b x + a) +--R + +--R 8 6 +--R - 7560cosh(b x + a) + 1176cosh(b x + a) +--R + +--R 4 2 +--R 2520cosh(b x + a) + 504cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 13 11 +--R - 672cosh(b x + a) - 2016cosh(b x + a) +--R + +--R 9 7 5 +--R - 1680cosh(b x + a) + 336cosh(b x + a) + 1008cosh(b x + a) +--R + +--R 3 +--R 336cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 14 12 10 +--R - 48cosh(b x + a) - 168cosh(b x + a) - 168cosh(b x + a) +--R + +--R 8 6 4 +--R 42cosh(b x + a) + 168cosh(b x + a) + 84cosh(b x + a) - 6 +--R * +--R 3 +--R tanh(b x + a) +--R + +--R 14 13 +--R 112sinh(b x + a) + 1568cosh(b x + a)sinh(b x + a) +--R + +--R 2 12 +--R (10192cosh(b x + a) + 392)sinh(b x + a) +--R + +--R 3 11 +--R (40768cosh(b x + a) + 4704cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 10 +--R (112112cosh(b x + a) + 25872cosh(b x + a) + 392)sinh(b x + a) +--R + +--R 5 3 +--R 224224cosh(b x + a) + 86240cosh(b x + a) +--R + +--R 3920cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 6 4 +--R 336336cosh(b x + a) + 194040cosh(b x + a) +--R + +--R 2 +--R 17640cosh(b x + a) - 98 +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 7 5 +--R 384384cosh(b x + a) + 310464cosh(b x + a) +--R + +--R 3 +--R 47040cosh(b x + a) - 784cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 8 6 +--R 336336cosh(b x + a) + 362208cosh(b x + a) +--R + +--R 4 2 +--R 82320cosh(b x + a) - 2744cosh(b x + a) - 392 +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 9 7 +--R 224224cosh(b x + a) + 310464cosh(b x + a) +--R + +--R 5 3 +--R 98784cosh(b x + a) - 5488cosh(b x + a) - 2352cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 10 8 +--R 112112cosh(b x + a) + 194040cosh(b x + a) +--R + +--R 6 4 2 +--R 82320cosh(b x + a) - 6860cosh(b x + a) - 5880cosh(b x + a) +--R + +--R - 196 +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 11 9 +--R 40768cosh(b x + a) + 86240cosh(b x + a) +--R + +--R 7 5 3 +--R 47040cosh(b x + a) - 5488cosh(b x + a) - 7840cosh(b x + a) +--R + +--R - 784cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 12 10 +--R 10192cosh(b x + a) + 25872cosh(b x + a) +--R + +--R 8 6 4 +--R 17640cosh(b x + a) - 2744cosh(b x + a) - 5880cosh(b x + a) +--R + +--R 2 +--R - 1176cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 13 11 +--R 1568cosh(b x + a) + 4704cosh(b x + a) +--R + +--R 9 7 5 +--R 3920cosh(b x + a) - 784cosh(b x + a) - 2352cosh(b x + a) +--R + +--R 3 +--R - 784cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 14 12 10 +--R 112cosh(b x + a) + 392cosh(b x + a) + 392cosh(b x + a) +--R + +--R 8 6 4 +--R - 98cosh(b x + a) - 392cosh(b x + a) - 196cosh(b x + a) + 14 +--R * +--R tanh(b x + a) +--R * +--R +-------------+ +--R \|tanh(b x + a) +--R + +--R 10 9 +--R 672sinh(b x + a) + 6720cosh(b x + a)sinh(b x + a) +--R + +--R 2 8 +--R (30240cosh(b x + a) + 784)sinh(b x + a) +--R + +--R 3 7 +--R (80640cosh(b x + a) + 6272cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 6 +--R (141120cosh(b x + a) + 21952cosh(b x + a) - 168)sinh(b x + a) +--R + +--R 5 3 +--R (169344cosh(b x + a) + 43904cosh(b x + a) - 1008cosh(b x + a)) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R 141120cosh(b x + a) + 54880cosh(b x + a) - 2520cosh(b x + a) +--R + +--R - 336 +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R 80640cosh(b x + a) + 43904cosh(b x + a) - 3360cosh(b x + a) +--R + +--R - 1344cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R 30240cosh(b x + a) + 21952cosh(b x + a) - 2520cosh(b x + a) +--R + +--R 2 +--R - 2016cosh(b x + a) - 56 +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R 6720cosh(b x + a) + 6272cosh(b x + a) - 1008cosh(b x + a) +--R + +--R 3 +--R - 1344cosh(b x + a) - 112cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 10 8 6 +--R 672cosh(b x + a) + 784cosh(b x + a) - 168cosh(b x + a) +--R + +--R 4 2 +--R - 336cosh(b x + a) - 56cosh(b x + a) +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 10 9 +--R - 672sinh(b x + a) - 6720cosh(b x + a)sinh(b x + a) +--R + +--R 2 8 +--R (- 30240cosh(b x + a) - 112)sinh(b x + a) +--R + +--R 3 7 +--R (- 80640cosh(b x + a) - 896cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 6 +--R (- 141120cosh(b x + a) - 3136cosh(b x + a) + 616)sinh(b x + a) +--R + +--R 5 3 +--R (- 169344cosh(b x + a) - 6272cosh(b x + a) + 3696cosh(b x + a)) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 6 4 2 +--R - 141120cosh(b x + a) - 7840cosh(b x + a) + 9240cosh(b x + a) +--R + +--R 112 +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 7 5 3 +--R - 80640cosh(b x + a) - 6272cosh(b x + a) + 12320cosh(b x + a) +--R + +--R 448cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 8 6 4 +--R - 30240cosh(b x + a) - 3136cosh(b x + a) + 9240cosh(b x + a) +--R + +--R 2 +--R 672cosh(b x + a) - 56 +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 9 7 5 +--R - 6720cosh(b x + a) - 896cosh(b x + a) + 3696cosh(b x + a) +--R + +--R 3 +--R 448cosh(b x + a) - 112cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 10 8 6 +--R - 672cosh(b x + a) - 112cosh(b x + a) + 616cosh(b x + a) +--R + +--R 4 2 +--R 112cosh(b x + a) - 56cosh(b x + a) - 16 +--R / +--R 14 13 +--R 168b sinh(b x + a) + 2352b cosh(b x + a)sinh(b x + a) +--R + +--R 2 12 +--R (15288b cosh(b x + a) + 756b)sinh(b x + a) +--R + +--R 3 11 +--R (61152b cosh(b x + a) + 9072b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 +--R (168168b cosh(b x + a) + 49896b cosh(b x + a) + 1260b) +--R * +--R 10 +--R sinh(b x + a) +--R + +--R 5 3 +--R 336336b cosh(b x + a) + 166320b cosh(b x + a) +--R + +--R 12600b cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 6 4 +--R 504504b cosh(b x + a) + 374220b cosh(b x + a) +--R + +--R 2 +--R 56700b cosh(b x + a) + 819b +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 7 5 +--R 576576b cosh(b x + a) + 598752b cosh(b x + a) +--R + +--R 3 +--R 151200b cosh(b x + a) + 6552b cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 8 6 +--R 504504b cosh(b x + a) + 698544b cosh(b x + a) +--R + +--R 4 2 +--R 264600b cosh(b x + a) + 22932b cosh(b x + a) - 84b +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 9 7 +--R 336336b cosh(b x + a) + 598752b cosh(b x + a) +--R + +--R 5 3 +--R 317520b cosh(b x + a) + 45864b cosh(b x + a) - 504b cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 10 8 +--R 168168b cosh(b x + a) + 374220b cosh(b x + a) +--R + +--R 6 4 +--R 264600b cosh(b x + a) + 57330b cosh(b x + a) +--R + +--R 2 +--R - 1260b cosh(b x + a) - 378b +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 11 9 +--R 61152b cosh(b x + a) + 166320b cosh(b x + a) +--R + +--R 7 5 +--R 151200b cosh(b x + a) + 45864b cosh(b x + a) +--R + +--R 3 +--R - 1680b cosh(b x + a) - 1512b cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 12 10 +--R 15288b cosh(b x + a) + 49896b cosh(b x + a) +--R + +--R 8 6 +--R 56700b cosh(b x + a) + 22932b cosh(b x + a) +--R + +--R 4 2 +--R - 1260b cosh(b x + a) - 2268b cosh(b x + a) - 168b +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 13 11 +--R 2352b cosh(b x + a) + 9072b cosh(b x + a) +--R + +--R 9 7 +--R 12600b cosh(b x + a) + 6552b cosh(b x + a) +--R + +--R 5 3 +--R - 504b cosh(b x + a) - 1512b cosh(b x + a) - 336b cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 14 12 10 +--R 168b cosh(b x + a) + 756b cosh(b x + a) + 1260b cosh(b x + a) +--R + +--R 8 6 4 +--R 819b cosh(b x + a) - 84b cosh(b x + a) - 378b cosh(b x + a) +--R + +--R 2 +--R - 168b cosh(b x + a) - 21b +--R * +--R +-------------+ +--R |sinh(b x + a) +--R |------------- +--R \|cosh(b x + a) +--R + +--R 14 13 +--R - 168b sinh(b x + a) - 2352b cosh(b x + a)sinh(b x + a) +--R + +--R 2 12 +--R (- 15288b cosh(b x + a) - 588b)sinh(b x + a) +--R + +--R 3 11 +--R (- 61152b cosh(b x + a) - 7056b cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 10 +--R (- 168168b cosh(b x + a) - 38808b cosh(b x + a) - 588b)sinh(b x + a) +--R + +--R 5 3 +--R - 336336b cosh(b x + a) - 129360b cosh(b x + a) +--R + +--R - 5880b cosh(b x + a) +--R * +--R 9 +--R sinh(b x + a) +--R + +--R 6 4 +--R - 504504b cosh(b x + a) - 291060b cosh(b x + a) +--R + +--R 2 +--R - 26460b cosh(b x + a) + 147b +--R * +--R 8 +--R sinh(b x + a) +--R + +--R 7 5 +--R - 576576b cosh(b x + a) - 465696b cosh(b x + a) +--R + +--R 3 +--R - 70560b cosh(b x + a) + 1176b cosh(b x + a) +--R * +--R 7 +--R sinh(b x + a) +--R + +--R 8 6 +--R - 504504b cosh(b x + a) - 543312b cosh(b x + a) +--R + +--R 4 2 +--R - 123480b cosh(b x + a) + 4116b cosh(b x + a) + 588b +--R * +--R 6 +--R sinh(b x + a) +--R + +--R 9 7 +--R - 336336b cosh(b x + a) - 465696b cosh(b x + a) +--R + +--R 5 3 +--R - 148176b cosh(b x + a) + 8232b cosh(b x + a) + 3528b cosh(b x + a) +--R * +--R 5 +--R sinh(b x + a) +--R + +--R 10 8 +--R - 168168b cosh(b x + a) - 291060b cosh(b x + a) +--R + +--R 6 4 +--R - 123480b cosh(b x + a) + 10290b cosh(b x + a) +--R + +--R 2 +--R 8820b cosh(b x + a) + 294b +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 11 9 +--R - 61152b cosh(b x + a) - 129360b cosh(b x + a) +--R + +--R 7 5 +--R - 70560b cosh(b x + a) + 8232b cosh(b x + a) +--R + +--R 3 +--R 11760b cosh(b x + a) + 1176b cosh(b x + a) +--R * +--R 3 +--R sinh(b x + a) +--R + +--R 12 10 +--R - 15288b cosh(b x + a) - 38808b cosh(b x + a) +--R + +--R 8 6 4 +--R - 26460b cosh(b x + a) + 4116b cosh(b x + a) + 8820b cosh(b x + a) +--R + +--R 2 +--R 1764b cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 13 11 +--R - 2352b cosh(b x + a) - 7056b cosh(b x + a) +--R + +--R 9 7 5 +--R - 5880b cosh(b x + a) + 1176b cosh(b x + a) + 3528b cosh(b x + a) +--R + +--R 3 +--R 1176b cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 14 12 10 +--R - 168b cosh(b x + a) - 588b cosh(b x + a) - 588b cosh(b x + a) +--R + +--R 8 6 4 +--R 147b cosh(b x + a) + 588b cosh(b x + a) + 294b cosh(b x + a) - 21b +--R Type: Expression Integer +--E 526 + +--S 527 of 552 +--d0794:= D(m0794,x) +--E 527 + +--S 528 of 552 +t0795:= sech(a+b*x)^4*tanh(a+b*x)^n +--R +--R +--R 4 n +--R (519) sech(b x + a) tanh(b x + a) +--R Type: Expression Integer +--E 528 + +--S 528 of 552 +r0795:= tanh(a+b*x)^(1+n)/b/(1+n)-tanh(a+b*x)^(3+n)/b/(3+n) +--R +--R +--R n + 3 n + 1 +--R (- n - 1)tanh(b x + a) + (n + 3)tanh(b x + a) +--R (520) ------------------------------------------------------- +--R 2 +--R b n + 4b n + 3b +--R Type: Expression Integer +--E 528 + +--S 530 of 552 +a0795:= integrate(t0795,x) +--R +--R +--R (521) +--R 3 2 +--R (2sinh(b x + a) + (6cosh(b x + a) + 4n + 6)sinh(b x + a)) +--R * +--R sinh(b x + a) +--R sinh(n log(-------------)) +--R cosh(b x + a) +--R + +--R 3 2 +--R (2sinh(b x + a) + (6cosh(b x + a) + 4n + 6)sinh(b x + a)) +--R * +--R sinh(b x + a) +--R cosh(n log(-------------)) +--R cosh(b x + a) +--R / +--R 2 2 +--R (3b n + 12b n + 9b)cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 2 +--R (b n + 4b n + 3b)cosh(b x + a) + (3b n + 12b n + 9b)cosh(b x + a) +--R Type: Union(Expression Integer,...) +--E 530 + +--S 531 of 552 +m0795:= a0795-r0795 +--R +--R +--R (522) +--R 3 2 +--R (2sinh(b x + a) + (6cosh(b x + a) + 4n + 6)sinh(b x + a)) +--R * +--R sinh(b x + a) +--R sinh(n log(-------------)) +--R cosh(b x + a) +--R + +--R 3 2 +--R (2sinh(b x + a) + (6cosh(b x + a) + 4n + 6)sinh(b x + a)) +--R * +--R sinh(b x + a) +--R cosh(n log(-------------)) +--R cosh(b x + a) +--R + +--R 2 3 +--R (3n + 3)cosh(b x + a)sinh(b x + a) + (n + 1)cosh(b x + a) +--R + +--R (3n + 3)cosh(b x + a) +--R * +--R n + 3 +--R tanh(b x + a) +--R + +--R 2 3 +--R (- 3n - 9)cosh(b x + a)sinh(b x + a) + (- n - 3)cosh(b x + a) +--R + +--R (- 3n - 9)cosh(b x + a) +--R * +--R n + 1 +--R tanh(b x + a) +--R / +--R 2 2 +--R (3b n + 12b n + 9b)cosh(b x + a)sinh(b x + a) +--R + +--R 2 3 2 +--R (b n + 4b n + 3b)cosh(b x + a) + (3b n + 12b n + 9b)cosh(b x + a) +--R Type: Expression Integer +--E 531 + +--S 532 of 552 +d0795:= D(m0795,x) +--R +--R +--R (523) +--R 6 +--R (- 6n - 6)sinh(b x + a) +--R + +--R 2 2 4 +--R ((- 14n + 18)cosh(b x + a) - 12n - 36n - 24)sinh(b x + a) +--R + +--R 4 2 2 2 +--R (14n - 18)cosh(b x + a) + (8n - 24n)cosh(b x + a) - 12n - 30n +--R + +--R - 18 +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 6 2 4 +--R (6n + 6)cosh(b x + a) + (4n + 28n + 24)cosh(b x + a) +--R + +--R 2 2 +--R (12n + 30n + 18)cosh(b x + a) +--R * +--R sinh(b x + a) +--R sinh(n log(-------------)) +--R cosh(b x + a) +--R + +--R 6 +--R (- 6n - 6)sinh(b x + a) +--R + +--R 2 2 4 +--R ((- 14n + 18)cosh(b x + a) - 12n - 36n - 24)sinh(b x + a) +--R + +--R 4 2 2 2 +--R (14n - 18)cosh(b x + a) + (8n - 24n)cosh(b x + a) - 12n - 30n +--R + +--R - 18 +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 6 2 4 +--R (6n + 6)cosh(b x + a) + (4n + 28n + 24)cosh(b x + a) +--R + +--R 2 2 +--R (12n + 30n + 18)cosh(b x + a) +--R * +--R sinh(b x + a) +--R cosh(n log(-------------)) +--R cosh(b x + a) +--R + +--R 2 2 4 +--R (- 9n - 36n - 27)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 +--R (- 6n - 24n - 18)cosh(b x + a) +--R + +--R 2 2 +--R (- 18n - 72n - 54)cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 2 6 2 4 +--R (- n - 4n - 3)cosh(b x + a) + (- 6n - 24n - 18)cosh(b x + a) +--R + +--R 2 2 +--R (- 9n - 36n - 27)cosh(b x + a) +--R * +--R 2 +--R tanh(b x + a) +--R + +--R 2 2 4 +--R (9n + 36n + 27)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 2 2 +--R ((6n + 24n + 18)cosh(b x + a) + (18n + 72n + 54)cosh(b x + a) ) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 2 6 2 4 +--R (n + 4n + 3)cosh(b x + a) + (6n + 24n + 18)cosh(b x + a) +--R + +--R 2 2 +--R (9n + 36n + 27)cosh(b x + a) +--R * +--R n + 2 +--R tanh(b x + a) +--R + +--R 2 2 4 +--R (9n + 36n + 27)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 +--R (6n + 24n + 18)cosh(b x + a) +--R + +--R 2 2 +--R (18n + 72n + 54)cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 2 6 2 4 +--R (n + 4n + 3)cosh(b x + a) + (6n + 24n + 18)cosh(b x + a) +--R + +--R 2 2 +--R (9n + 36n + 27)cosh(b x + a) +--R * +--R 2 +--R tanh(b x + a) +--R + +--R 2 2 4 +--R (- 9n - 36n - 27)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 +--R (- 6n - 24n - 18)cosh(b x + a) +--R + +--R 2 2 +--R (- 18n - 72n - 54)cosh(b x + a) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 2 6 2 4 +--R (- n - 4n - 3)cosh(b x + a) + (- 6n - 24n - 18)cosh(b x + a) +--R + +--R 2 2 +--R (- 9n - 36n - 27)cosh(b x + a) +--R * +--R n +--R tanh(b x + a) +--R / +--R 2 2 4 +--R (9n + 36n + 27)cosh(b x + a) sinh(b x + a) +--R + +--R 2 4 2 2 +--R ((6n + 24n + 18)cosh(b x + a) + (18n + 72n + 54)cosh(b x + a) ) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 2 6 2 4 +--R (n + 4n + 3)cosh(b x + a) + (6n + 24n + 18)cosh(b x + a) +--R + +--R 2 2 +--R (9n + 36n + 27)cosh(b x + a) +--R Type: Expression Integer +--E 532 + +--S 533 of 552 +t0796:= coth(a+b*x)^n*csch(a+b*x)^2 +--R +--R +--R 2 n +--R (524) csch(b x + a) coth(b x + a) +--R Type: Expression Integer +--E 533 + +--S 534 of 552 +r0796:= -coth(a+b*x)^(1+n)/b/(1+n) +--R +--R +--R n + 1 +--R coth(b x + a) +--R (525) - ------------------ +--R b n + b +--R Type: Expression Integer +--E 534 + +--S 535 of 552 +a0796:= integrate(t0796,x) +--R +--R +--R (526) +--R cosh(b x + a) +--R - cosh(b x + a)sinh(n log(-------------)) +--R sinh(b x + a) +--R + +--R cosh(b x + a) +--R - cosh(b x + a)cosh(n log(-------------)) +--R sinh(b x + a) +--R / +--R (b n + b)sinh(b x + a) +--R Type: Union(Expression Integer,...) +--E 535 + +--S 536 of 552 +m0796:= a0796-r0796 +--R +--R +--R (527) +--R cosh(b x + a) +--R - cosh(b x + a)sinh(n log(-------------)) +--R sinh(b x + a) +--R + +--R cosh(b x + a) n + 1 +--R - cosh(b x + a)cosh(n log(-------------)) + sinh(b x + a)coth(b x + a) +--R sinh(b x + a) +--R / +--R (b n + b)sinh(b x + a) +--R Type: Expression Integer +--E 536 + +--S 537 of 552 +d0796:= D(m0796,x) +--R +--R +--R (528) +--R 2 2 cosh(b x + a) +--R (- sinh(b x + a) + cosh(b x + a) )sinh(n log(-------------)) +--R sinh(b x + a) +--R + +--R 2 2 cosh(b x + a) +--R (- sinh(b x + a) + cosh(b x + a) )cosh(n log(-------------)) +--R sinh(b x + a) +--R + +--R 2 2 n +--R (- coth(b x + a) + 1)sinh(b x + a) coth(b x + a) +--R / +--R 2 +--R sinh(b x + a) +--R Type: Expression Integer +--E 537 + +--S 538 of 552 +t0797:= coth(a+b*x)^3*csch(a+b*x)^n +--R +--R +--R 3 n +--R (529) coth(b x + a) csch(b x + a) +--R Type: Expression Integer +--E 538 + +--S 539 of 552 +r0797:= -csch(a+b*x)^n/b/n-csch(a+b*x)^(2+n)/b/(2+n) +--R +--R +--R n + 2 n +--R - n csch(b x + a) + (- n - 2)csch(b x + a) +--R (530) ------------------------------------------------ +--R 2 +--R b n + 2b n +--R Type: Expression Integer +--E 539 + +--S 540 of 552 +a0797:= integrate(t0797,x) +--R +--R +--R (531) +--R 2 2 +--R ((- n - 2)sinh(b x + a) + (- n - 2)cosh(b x + a) - n + 2) +--R * +--R sinh +--R n +--R * +--R log +--R 2sinh(b x + a) + 2cosh(b x + a) +--R / +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) - 1 +--R + +--R 2 2 +--R ((- n - 2)sinh(b x + a) + (- n - 2)cosh(b x + a) - n + 2) +--R * +--R cosh +--R n +--R * +--R log +--R 2sinh(b x + a) + 2cosh(b x + a) +--R / +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) - 1 +--R / +--R 2 2 2 2 2 +--R (b n + 2b n)sinh(b x + a) + (b n + 2b n)cosh(b x + a) - b n - 2b n +--R Type: Union(Expression Integer,...) +--E 540 + +--S 541 of 552 +m0797:= a0797-r0797 +--R +--R +--R (532) +--R 2 2 +--R ((- n - 2)sinh(b x + a) + (- n - 2)cosh(b x + a) - n + 2) +--R * +--R sinh +--R n +--R * +--R log +--R 2sinh(b x + a) + 2cosh(b x + a) +--R / +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) - 1 +--R + +--R 2 2 +--R ((- n - 2)sinh(b x + a) + (- n - 2)cosh(b x + a) - n + 2) +--R * +--R cosh +--R n +--R * +--R log +--R 2sinh(b x + a) + 2cosh(b x + a) +--R / +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) - 1 +--R + +--R 2 2 n + 2 +--R (n sinh(b x + a) + n cosh(b x + a) - n)csch(b x + a) +--R + +--R 2 2 n +--R ((n + 2)sinh(b x + a) + (n + 2)cosh(b x + a) - n - 2)csch(b x + a) +--R / +--R 2 2 2 2 2 +--R (b n + 2b n)sinh(b x + a) + (b n + 2b n)cosh(b x + a) - b n - 2b n +--R Type: Expression Integer +--E 541 + +--S 542 of 552 +d0797:= D(m0797,x) +--R +--R +--R (533) +--R 6 5 +--R (n + 2)sinh(b x + a) + (2n + 4)cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R ((3n + 6)cosh(b x + a) + n - 2)sinh(b x + a) +--R + +--R 3 3 +--R (4n + 8)cosh(b x + a) sinh(b x + a) +--R + +--R 4 2 +--R ((3n + 6)cosh(b x + a) + (2n + 12)cosh(b x + a) - n - 2) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 5 +--R ((2n + 4)cosh(b x + a) + (- 2n - 4)cosh(b x + a))sinh(b x + a) +--R + +--R 6 4 +--R (n + 2)cosh(b x + a) + (n - 2)cosh(b x + a) +--R + +--R 2 +--R (- n - 2)cosh(b x + a) - n + 2 +--R * +--R sinh +--R n +--R * +--R log +--R 2sinh(b x + a) + 2cosh(b x + a) +--R / +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) - 1 +--R + +--R 6 5 +--R (n + 2)sinh(b x + a) + (2n + 4)cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R ((3n + 6)cosh(b x + a) + n - 2)sinh(b x + a) +--R + +--R 3 3 +--R (4n + 8)cosh(b x + a) sinh(b x + a) +--R + +--R 4 2 +--R ((3n + 6)cosh(b x + a) + (2n + 12)cosh(b x + a) - n - 2) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 5 +--R ((2n + 4)cosh(b x + a) + (- 2n - 4)cosh(b x + a))sinh(b x + a) +--R + +--R 6 4 +--R (n + 2)cosh(b x + a) + (n - 2)cosh(b x + a) +--R + +--R 2 +--R (- n - 2)cosh(b x + a) - n + 2 +--R * +--R cosh +--R n +--R * +--R log +--R 2sinh(b x + a) + 2cosh(b x + a) +--R / +--R 2 +--R sinh(b x + a) + 2cosh(b x + a)sinh(b x + a) +--R + +--R 2 +--R cosh(b x + a) - 1 +--R + +--R 6 +--R (- n - 2)coth(b x + a)csch(b x + a)sinh(b x + a) +--R + +--R 5 +--R (- 2n - 4)cosh(b x + a)coth(b x + a)csch(b x + a)sinh(b x + a) +--R + +--R 2 +--R ((- 3n - 6)cosh(b x + a) + 3n + 6)coth(b x + a)csch(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 3 +--R ((- 4n - 8)cosh(b x + a) + (4n + 8)cosh(b x + a))coth(b x + a) +--R * +--R 3 +--R csch(b x + a)sinh(b x + a) +--R + +--R 4 2 +--R ((- 3n - 6)cosh(b x + a) + (6n + 12)cosh(b x + a) - 3n - 6) +--R * +--R 2 +--R coth(b x + a)csch(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (- 2n - 4)cosh(b x + a) + (4n + 8)cosh(b x + a) +--R + +--R (- 2n - 4)cosh(b x + a) +--R * +--R coth(b x + a)csch(b x + a)sinh(b x + a) +--R + +--R 6 4 +--R (- n - 2)cosh(b x + a) + (3n + 6)cosh(b x + a) +--R + +--R 2 +--R (- 3n - 6)cosh(b x + a) + n + 2 +--R * +--R coth(b x + a)csch(b x + a) +--R * +--R n + 1 +--R csch(b x + a) +--R + +--R 6 +--R (- n - 2)coth(b x + a)csch(b x + a)sinh(b x + a) +--R + +--R 5 +--R (- 2n - 4)cosh(b x + a)coth(b x + a)csch(b x + a)sinh(b x + a) +--R + +--R 2 +--R ((- 3n - 6)cosh(b x + a) + 3n + 6)coth(b x + a)csch(b x + a) +--R * +--R 4 +--R sinh(b x + a) +--R + +--R 3 +--R ((- 4n - 8)cosh(b x + a) + (4n + 8)cosh(b x + a))coth(b x + a) +--R * +--R 3 +--R csch(b x + a)sinh(b x + a) +--R + +--R 4 2 +--R ((- 3n - 6)cosh(b x + a) + (6n + 12)cosh(b x + a) - 3n - 6) +--R * +--R 2 +--R coth(b x + a)csch(b x + a)sinh(b x + a) +--R + +--R 5 3 +--R (- 2n - 4)cosh(b x + a) + (4n + 8)cosh(b x + a) +--R + +--R (- 2n - 4)cosh(b x + a) +--R * +--R coth(b x + a)csch(b x + a)sinh(b x + a) +--R + +--R 6 4 +--R (- n - 2)cosh(b x + a) + (3n + 6)cosh(b x + a) +--R + +--R 2 +--R (- 3n - 6)cosh(b x + a) + n + 2 +--R * +--R coth(b x + a)csch(b x + a) +--R * +--R n - 1 +--R csch(b x + a) +--R / +--R 6 5 +--R (n + 2)sinh(b x + a) + (2n + 4)cosh(b x + a)sinh(b x + a) +--R + +--R 2 4 +--R ((3n + 6)cosh(b x + a) - 3n - 6)sinh(b x + a) +--R + +--R 3 3 +--R ((4n + 8)cosh(b x + a) + (- 4n - 8)cosh(b x + a))sinh(b x + a) +--R + +--R 4 2 +--R ((3n + 6)cosh(b x + a) + (- 6n - 12)cosh(b x + a) + 3n + 6) +--R * +--R 2 +--R sinh(b x + a) +--R + +--R 5 3 +--R (2n + 4)cosh(b x + a) + (- 4n - 8)cosh(b x + a) +--R + +--R (2n + 4)cosh(b x + a) +--R * +--R sinh(b x + a) +--R + +--R 6 4 2 +--R (n + 2)cosh(b x + a) + (- 3n - 6)cosh(b x + a) + (3n + 6)cosh(b x + a) +--R + +--R - n - 2 +--R Type: Expression Integer +--E 542 + +--S 543 of 552 +t0798:= coth(x)^n*csch(x)^4 +--R +--R +--R 4 n +--R (534) csch(x) coth(x) +--R Type: Expression Integer +--E 543 + +--S 544 of 552 +r0798:= coth(x)^(1+n)/(1+n)-coth(x)^(3+n)/(3+n) +--R +--R +--R n + 3 n + 1 +--R (- n - 1)coth(x) + (n + 3)coth(x) +--R (535) ------------------------------------------- +--R 2 +--R n + 4n + 3 +--R Type: Expression Integer +--E 544 + +--S 545 of 552 +a0798:= integrate(t0798,x) +--R +--R +--R (536) +--R 2 3 cosh(x) +--R (6cosh(x)sinh(x) + 2cosh(x) + (- 4n - 6)cosh(x))sinh(n log(-------)) +--R sinh(x) +--R + +--R 2 3 cosh(x) +--R (6cosh(x)sinh(x) + 2cosh(x) + (- 4n - 6)cosh(x))cosh(n log(-------)) +--R sinh(x) +--R / +--R 2 3 2 2 2 +--R (n + 4n + 3)sinh(x) + ((3n + 12n + 9)cosh(x) - 3n - 12n - 9)sinh(x) +--R Type: Union(Expression Integer,...) +--E 545 + +--S 546 of 552 +m0798:= a0798-r0798 +--R +--R +--R (537) +--R 2 3 cosh(x) +--R (6cosh(x)sinh(x) + 2cosh(x) + (- 4n - 6)cosh(x))sinh(n log(-------)) +--R sinh(x) +--R + +--R 2 3 cosh(x) +--R (6cosh(x)sinh(x) + 2cosh(x) + (- 4n - 6)cosh(x))cosh(n log(-------)) +--R sinh(x) +--R + +--R 3 2 n + 3 +--R ((n + 1)sinh(x) + ((3n + 3)cosh(x) - 3n - 3)sinh(x))coth(x) +--R + +--R 3 2 n + 1 +--R ((- n - 3)sinh(x) + ((- 3n - 9)cosh(x) + 3n + 9)sinh(x))coth(x) +--R / +--R 2 3 2 2 2 +--R (n + 4n + 3)sinh(x) + ((3n + 12n + 9)cosh(x) - 3n - 12n - 9)sinh(x) +--R Type: Expression Integer +--E 546 + +--S 547 of 552 +d0798:= D(m0798,x) +--R +--R +--R (538) +--R 6 2 2 4 +--R (6n + 6)sinh(x) + ((14n - 18)cosh(x) - 4n - 28n - 24)sinh(x) +--R + +--R 4 2 2 2 +--R ((- 14n + 18)cosh(x) + (- 8n + 24n)cosh(x) + 12n + 30n + 18) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 +--R (- 6n - 6)cosh(x) + (12n + 36n + 24)cosh(x) +--R + +--R 2 2 +--R (- 12n - 30n - 18)cosh(x) +--R * +--R cosh(x) +--R sinh(n log(-------)) +--R sinh(x) +--R + +--R 6 2 2 4 +--R (6n + 6)sinh(x) + ((14n - 18)cosh(x) - 4n - 28n - 24)sinh(x) +--R + +--R 4 2 2 2 +--R ((- 14n + 18)cosh(x) + (- 8n + 24n)cosh(x) + 12n + 30n + 18) +--R * +--R 2 +--R sinh(x) +--R + +--R 6 2 4 +--R (- 6n - 6)cosh(x) + (12n + 36n + 24)cosh(x) +--R + +--R 2 2 +--R (- 12n - 30n - 18)cosh(x) +--R * +--R cosh(x) +--R cosh(n log(-------)) +--R sinh(x) +--R + +--R 2 2 2 6 +--R ((- n - 4n - 3)coth(x) + n + 4n + 3)sinh(x) +--R + +--R 2 2 2 2 +--R ((- 6n - 24n - 18)cosh(x) + 6n + 24n + 18)coth(x) +--R + +--R 2 2 2 +--R (6n + 24n + 18)cosh(x) - 6n - 24n - 18 +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 2 2 2 +--R (- 9n - 36n - 27)cosh(x) + (18n + 72n + 54)cosh(x) - 9n +--R + +--R - 36n - 27 +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 2 2 2 +--R (9n + 36n + 27)cosh(x) + (- 18n - 72n - 54)cosh(x) + 9n +--R + +--R 36n + 27 +--R * +--R 2 +--R sinh(x) +--R * +--R n + 2 +--R coth(x) +--R + +--R 2 2 2 6 +--R ((n + 4n + 3)coth(x) - n - 4n - 3)sinh(x) +--R + +--R 2 2 2 2 +--R ((6n + 24n + 18)cosh(x) - 6n - 24n - 18)coth(x) +--R + +--R 2 2 2 +--R (- 6n - 24n - 18)cosh(x) + 6n + 24n + 18 +--R * +--R 4 +--R sinh(x) +--R + +--R 2 4 2 2 2 +--R (9n + 36n + 27)cosh(x) + (- 18n - 72n - 54)cosh(x) + 9n +--R + +--R 36n + 27 +--R * +--R 2 +--R coth(x) +--R + +--R 2 4 2 2 2 +--R (- 9n - 36n - 27)cosh(x) + (18n + 72n + 54)cosh(x) - 9n +--R + +--R - 36n - 27 +--R * +--R 2 +--R sinh(x) +--R * +--R n +--R coth(x) +--R / +--R 2 6 +--R (n + 4n + 3)sinh(x) +--R + +--R 2 2 2 4 +--R ((6n + 24n + 18)cosh(x) - 6n - 24n - 18)sinh(x) +--R + +--R 2 4 2 2 2 +--R (9n + 36n + 27)cosh(x) + (- 18n - 72n - 54)cosh(x) + 9n + 36n +--R + +--R 27 +--R * +--R 2 +--R sinh(x) +--R Type: Expression Integer +--E 547 + +--S 548 of 552 +t0799:= coth(x)^4*csch(x)^3 +--R +--R +--R 4 3 +--R (539) coth(x) csch(x) +--R Type: Expression Integer +--E 548 + +--S 549 of 552 +r0799:= 1/16*acoth(cosh(x))+1/16*coth(x)*csch(x)+_ + 1/24*coth(x)^3*csch(x)-1/6*coth(x)^5*csch(x) +--R +--R +--R 5 3 +--R 3acoth(cosh(x)) + (- 8coth(x) + 2coth(x) + 3coth(x))csch(x) +--R (540) ------------------------------------------------------------- +--R 48 +--R Type: Expression Integer +--E 549 + +--S 550 of 552 +a0799:= integrate(t0799,x) +--R +--R +--R (541) +--R 12 11 2 10 +--R 3sinh(x) + 36cosh(x)sinh(x) + (198cosh(x) - 18)sinh(x) +--R + +--R 3 9 +--R (660cosh(x) - 180cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (1485cosh(x) - 810cosh(x) + 45)sinh(x) +--R + +--R 5 3 7 +--R (2376cosh(x) - 2160cosh(x) + 360cosh(x))sinh(x) +--R + +--R 6 4 2 6 +--R (2772cosh(x) - 3780cosh(x) + 1260cosh(x) - 60)sinh(x) +--R + +--R 7 5 3 5 +--R (2376cosh(x) - 4536cosh(x) + 2520cosh(x) - 360cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (1485cosh(x) - 3780cosh(x) + 3150cosh(x) - 900cosh(x) + 45) +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 660cosh(x) - 2160cosh(x) + 2520cosh(x) - 1200cosh(x) +--R + +--R 180cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 198cosh(x) - 810cosh(x) + 1260cosh(x) - 900cosh(x) +--R + +--R 2 +--R 270cosh(x) - 18 +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 36cosh(x) - 180cosh(x) + 360cosh(x) - 360cosh(x) +--R + +--R 3 +--R 180cosh(x) - 36cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 6 4 +--R 3cosh(x) - 18cosh(x) + 45cosh(x) - 60cosh(x) + 45cosh(x) +--R + +--R 2 +--R - 18cosh(x) + 3 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 12 11 2 10 +--R - 3sinh(x) - 36cosh(x)sinh(x) + (- 198cosh(x) + 18)sinh(x) +--R + +--R 3 9 +--R (- 660cosh(x) + 180cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (- 1485cosh(x) + 810cosh(x) - 45)sinh(x) +--R + +--R 5 3 7 +--R (- 2376cosh(x) + 2160cosh(x) - 360cosh(x))sinh(x) +--R + +--R 6 4 2 6 +--R (- 2772cosh(x) + 3780cosh(x) - 1260cosh(x) + 60)sinh(x) +--R + +--R 7 5 3 5 +--R (- 2376cosh(x) + 4536cosh(x) - 2520cosh(x) + 360cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (- 1485cosh(x) + 3780cosh(x) - 3150cosh(x) + 900cosh(x) - 45) +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 660cosh(x) + 2160cosh(x) - 2520cosh(x) + 1200cosh(x) +--R + +--R - 180cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 198cosh(x) + 810cosh(x) - 1260cosh(x) + 900cosh(x) +--R + +--R 2 +--R - 270cosh(x) + 18 +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 36cosh(x) + 180cosh(x) - 360cosh(x) + 360cosh(x) +--R + +--R 3 +--R - 180cosh(x) + 36cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 6 4 +--R - 3cosh(x) + 18cosh(x) - 45cosh(x) + 60cosh(x) - 45cosh(x) +--R + +--R 2 +--R 18cosh(x) - 3 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 11 10 2 9 +--R - 6sinh(x) - 66cosh(x)sinh(x) + (- 330cosh(x) - 94)sinh(x) +--R + +--R 3 8 +--R (- 990cosh(x) - 846cosh(x))sinh(x) +--R + +--R 4 2 7 +--R (- 1980cosh(x) - 3384cosh(x) - 156)sinh(x) +--R + +--R 5 3 6 +--R (- 2772cosh(x) - 7896cosh(x) - 1092cosh(x))sinh(x) +--R + +--R 6 4 2 5 +--R (- 2772cosh(x) - 11844cosh(x) - 3276cosh(x) - 156)sinh(x) +--R + +--R 7 5 3 4 +--R (- 1980cosh(x) - 11844cosh(x) - 5460cosh(x) - 780cosh(x))sinh(x) +--R + +--R 8 6 4 2 3 +--R (- 990cosh(x) - 7896cosh(x) - 5460cosh(x) - 1560cosh(x) - 94)sinh(x) +--R + +--R 9 7 5 3 +--R - 330cosh(x) - 3384cosh(x) - 3276cosh(x) - 1560cosh(x) +--R + +--R - 282cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 66cosh(x) - 846cosh(x) - 1092cosh(x) - 780cosh(x) +--R + +--R 2 +--R - 282cosh(x) - 6 +--R * +--R sinh(x) +--R + +--R 11 9 7 5 3 +--R - 6cosh(x) - 94cosh(x) - 156cosh(x) - 156cosh(x) - 94cosh(x) +--R + +--R - 6cosh(x) +--R / +--R 12 11 2 10 +--R 48sinh(x) + 576cosh(x)sinh(x) + (3168cosh(x) - 288)sinh(x) +--R + +--R 3 9 +--R (10560cosh(x) - 2880cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (23760cosh(x) - 12960cosh(x) + 720)sinh(x) +--R + +--R 5 3 7 +--R (38016cosh(x) - 34560cosh(x) + 5760cosh(x))sinh(x) +--R + +--R 6 4 2 6 +--R (44352cosh(x) - 60480cosh(x) + 20160cosh(x) - 960)sinh(x) +--R + +--R 7 5 3 5 +--R (38016cosh(x) - 72576cosh(x) + 40320cosh(x) - 5760cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (23760cosh(x) - 60480cosh(x) + 50400cosh(x) - 14400cosh(x) + 720) +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 10560cosh(x) - 34560cosh(x) + 40320cosh(x) - 19200cosh(x) +--R + +--R 2880cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 3168cosh(x) - 12960cosh(x) + 20160cosh(x) - 14400cosh(x) +--R + +--R 2 +--R 4320cosh(x) - 288 +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 576cosh(x) - 2880cosh(x) + 5760cosh(x) - 5760cosh(x) +--R + +--R 3 +--R 2880cosh(x) - 576cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 6 4 +--R 48cosh(x) - 288cosh(x) + 720cosh(x) - 960cosh(x) + 720cosh(x) +--R + +--R 2 +--R - 288cosh(x) + 48 +--R Type: Union(Expression Integer,...) +--E 550 + +--S 551 of 552 +m0799:= a0799-r0799 +--R +--R +--R (542) +--R 12 11 2 10 +--R 3sinh(x) + 36cosh(x)sinh(x) + (198cosh(x) - 18)sinh(x) +--R + +--R 3 9 +--R (660cosh(x) - 180cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (1485cosh(x) - 810cosh(x) + 45)sinh(x) +--R + +--R 5 3 7 +--R (2376cosh(x) - 2160cosh(x) + 360cosh(x))sinh(x) +--R + +--R 6 4 2 6 +--R (2772cosh(x) - 3780cosh(x) + 1260cosh(x) - 60)sinh(x) +--R + +--R 7 5 3 5 +--R (2376cosh(x) - 4536cosh(x) + 2520cosh(x) - 360cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (1485cosh(x) - 3780cosh(x) + 3150cosh(x) - 900cosh(x) + 45) +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 660cosh(x) - 2160cosh(x) + 2520cosh(x) - 1200cosh(x) +--R + +--R 180cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 198cosh(x) - 810cosh(x) + 1260cosh(x) - 900cosh(x) +--R + +--R 2 +--R 270cosh(x) - 18 +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 36cosh(x) - 180cosh(x) + 360cosh(x) - 360cosh(x) +--R + +--R 3 +--R 180cosh(x) - 36cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 6 4 +--R 3cosh(x) - 18cosh(x) + 45cosh(x) - 60cosh(x) + 45cosh(x) +--R + +--R 2 +--R - 18cosh(x) + 3 +--R * +--R log(sinh(x) + cosh(x) + 1) +--R + +--R 12 11 2 10 +--R - 3sinh(x) - 36cosh(x)sinh(x) + (- 198cosh(x) + 18)sinh(x) +--R + +--R 3 9 +--R (- 660cosh(x) + 180cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (- 1485cosh(x) + 810cosh(x) - 45)sinh(x) +--R + +--R 5 3 7 +--R (- 2376cosh(x) + 2160cosh(x) - 360cosh(x))sinh(x) +--R + +--R 6 4 2 6 +--R (- 2772cosh(x) + 3780cosh(x) - 1260cosh(x) + 60)sinh(x) +--R + +--R 7 5 3 5 +--R (- 2376cosh(x) + 4536cosh(x) - 2520cosh(x) + 360cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (- 1485cosh(x) + 3780cosh(x) - 3150cosh(x) + 900cosh(x) - 45) +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 660cosh(x) + 2160cosh(x) - 2520cosh(x) + 1200cosh(x) +--R + +--R - 180cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 198cosh(x) + 810cosh(x) - 1260cosh(x) + 900cosh(x) +--R + +--R 2 +--R - 270cosh(x) + 18 +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 36cosh(x) + 180cosh(x) - 360cosh(x) + 360cosh(x) +--R + +--R 3 +--R - 180cosh(x) + 36cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 6 4 +--R - 3cosh(x) + 18cosh(x) - 45cosh(x) + 60cosh(x) - 45cosh(x) +--R + +--R 2 +--R 18cosh(x) - 3 +--R * +--R log(sinh(x) + cosh(x) - 1) +--R + +--R 12 11 2 10 +--R - 3sinh(x) - 36cosh(x)sinh(x) + (- 198cosh(x) + 18)sinh(x) +--R + +--R 3 9 +--R (- 660cosh(x) + 180cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (- 1485cosh(x) + 810cosh(x) - 45)sinh(x) +--R + +--R 5 3 7 +--R (- 2376cosh(x) + 2160cosh(x) - 360cosh(x))sinh(x) +--R + +--R 6 4 2 6 +--R (- 2772cosh(x) + 3780cosh(x) - 1260cosh(x) + 60)sinh(x) +--R + +--R 7 5 3 5 +--R (- 2376cosh(x) + 4536cosh(x) - 2520cosh(x) + 360cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (- 1485cosh(x) + 3780cosh(x) - 3150cosh(x) + 900cosh(x) - 45) +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 3 +--R - 660cosh(x) + 2160cosh(x) - 2520cosh(x) + 1200cosh(x) +--R + +--R - 180cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 4 +--R - 198cosh(x) + 810cosh(x) - 1260cosh(x) + 900cosh(x) +--R + +--R 2 +--R - 270cosh(x) + 18 +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R - 36cosh(x) + 180cosh(x) - 360cosh(x) + 360cosh(x) +--R + +--R 3 +--R - 180cosh(x) + 36cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 6 4 +--R - 3cosh(x) + 18cosh(x) - 45cosh(x) + 60cosh(x) - 45cosh(x) +--R + +--R 2 +--R 18cosh(x) - 3 +--R * +--R acoth(cosh(x)) +--R + +--R 5 3 12 +--R (8coth(x) - 2coth(x) - 3coth(x))csch(x)sinh(x) +--R + +--R 5 3 +--R ((96cosh(x)coth(x) - 24cosh(x)coth(x) - 36cosh(x)coth(x))csch(x) - 6) +--R * +--R 11 +--R sinh(x) +--R + +--R 2 5 2 3 +--R (528cosh(x) - 48)coth(x) + (- 132cosh(x) + 12)coth(x) +--R + +--R 2 +--R (- 198cosh(x) + 18)coth(x) +--R * +--R csch(x) +--R + +--R - 66cosh(x) +--R * +--R 10 +--R sinh(x) +--R + +--R 3 5 +--R (1760cosh(x) - 480cosh(x))coth(x) +--R + +--R 3 3 +--R (- 440cosh(x) + 120cosh(x))coth(x) +--R + +--R 3 +--R (- 660cosh(x) + 180cosh(x))coth(x) +--R * +--R csch(x) +--R + +--R 2 +--R - 330cosh(x) - 94 +--R * +--R 9 +--R sinh(x) +--R + +--R 4 2 5 +--R (3960cosh(x) - 2160cosh(x) + 120)coth(x) +--R + +--R 4 2 3 +--R (- 990cosh(x) + 540cosh(x) - 30)coth(x) +--R + +--R 4 2 +--R (- 1485cosh(x) + 810cosh(x) - 45)coth(x) +--R * +--R csch(x) +--R + +--R 3 +--R - 990cosh(x) - 846cosh(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 5 3 5 +--R (6336cosh(x) - 5760cosh(x) + 960cosh(x))coth(x) +--R + +--R 5 3 3 +--R (- 1584cosh(x) + 1440cosh(x) - 240cosh(x))coth(x) +--R + +--R 5 3 +--R (- 2376cosh(x) + 2160cosh(x) - 360cosh(x))coth(x) +--R * +--R csch(x) +--R + +--R 4 2 +--R - 1980cosh(x) - 3384cosh(x) - 156 +--R * +--R 7 +--R sinh(x) +--R + +--R 6 4 2 5 +--R (7392cosh(x) - 10080cosh(x) + 3360cosh(x) - 160)coth(x) +--R + +--R 6 4 2 3 +--R (- 1848cosh(x) + 2520cosh(x) - 840cosh(x) + 40)coth(x) +--R + +--R 6 4 2 +--R (- 2772cosh(x) + 3780cosh(x) - 1260cosh(x) + 60)coth(x) +--R * +--R csch(x) +--R + +--R 5 3 +--R - 2772cosh(x) - 7896cosh(x) - 1092cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 7 5 3 +--R (6336cosh(x) - 12096cosh(x) + 6720cosh(x) - 960cosh(x)) +--R * +--R 5 +--R coth(x) +--R + +--R 7 5 3 +--R (- 1584cosh(x) + 3024cosh(x) - 1680cosh(x) + 240cosh(x)) +--R * +--R 3 +--R coth(x) +--R + +--R 7 5 3 +--R (- 2376cosh(x) + 4536cosh(x) - 2520cosh(x) + 360cosh(x))coth(x) +--R * +--R csch(x) +--R + +--R 6 4 2 +--R - 2772cosh(x) - 11844cosh(x) - 3276cosh(x) - 156 +--R * +--R 5 +--R sinh(x) +--R + +--R 8 6 4 2 +--R 3960cosh(x) - 10080cosh(x) + 8400cosh(x) - 2400cosh(x) +--R + +--R 120 +--R * +--R 5 +--R coth(x) +--R + +--R 8 6 4 2 +--R - 990cosh(x) + 2520cosh(x) - 2100cosh(x) + 600cosh(x) +--R + +--R - 30 +--R * +--R 3 +--R coth(x) +--R + +--R 8 6 4 2 +--R - 1485cosh(x) + 3780cosh(x) - 3150cosh(x) + 900cosh(x) +--R + +--R - 45 +--R * +--R coth(x) +--R * +--R csch(x) +--R + +--R 7 5 3 +--R - 1980cosh(x) - 11844cosh(x) - 5460cosh(x) - 780cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 1760cosh(x) - 5760cosh(x) + 6720cosh(x) - 3200cosh(x) +--R + +--R 480cosh(x) +--R * +--R 5 +--R coth(x) +--R + +--R 9 7 5 3 +--R - 440cosh(x) + 1440cosh(x) - 1680cosh(x) + 800cosh(x) +--R + +--R - 120cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 9 7 5 3 +--R - 660cosh(x) + 2160cosh(x) - 2520cosh(x) + 1200cosh(x) +--R + +--R - 180cosh(x) +--R * +--R coth(x) +--R * +--R csch(x) +--R + +--R 8 6 4 2 +--R - 990cosh(x) - 7896cosh(x) - 5460cosh(x) - 1560cosh(x) - 94 +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 528cosh(x) - 2160cosh(x) + 3360cosh(x) - 2400cosh(x) +--R + +--R 2 +--R 720cosh(x) - 48 +--R * +--R 5 +--R coth(x) +--R + +--R 10 8 6 4 +--R - 132cosh(x) + 540cosh(x) - 840cosh(x) + 600cosh(x) +--R + +--R 2 +--R - 180cosh(x) + 12 +--R * +--R 3 +--R coth(x) +--R + +--R 10 8 6 4 +--R - 198cosh(x) + 810cosh(x) - 1260cosh(x) + 900cosh(x) +--R + +--R 2 +--R - 270cosh(x) + 18 +--R * +--R coth(x) +--R * +--R csch(x) +--R + +--R 9 7 5 3 +--R - 330cosh(x) - 3384cosh(x) - 3276cosh(x) - 1560cosh(x) - 282cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 96cosh(x) - 480cosh(x) + 960cosh(x) - 960cosh(x) +--R + +--R 3 +--R 480cosh(x) - 96cosh(x) +--R * +--R 5 +--R coth(x) +--R + +--R 11 9 7 5 +--R - 24cosh(x) + 120cosh(x) - 240cosh(x) + 240cosh(x) +--R + +--R 3 +--R - 120cosh(x) + 24cosh(x) +--R * +--R 3 +--R coth(x) +--R + +--R 11 9 7 5 +--R - 36cosh(x) + 180cosh(x) - 360cosh(x) + 360cosh(x) +--R + +--R 3 +--R - 180cosh(x) + 36cosh(x) +--R * +--R coth(x) +--R * +--R csch(x) +--R + +--R 10 8 6 4 +--R - 66cosh(x) - 846cosh(x) - 1092cosh(x) - 780cosh(x) +--R + +--R 2 +--R - 282cosh(x) - 6 +--R * +--R sinh(x) +--R + +--R 12 10 8 6 +--R 8cosh(x) - 48cosh(x) + 120cosh(x) - 160cosh(x) +--R + +--R 4 2 +--R 120cosh(x) - 48cosh(x) + 8 +--R * +--R 5 +--R coth(x) +--R + +--R 12 10 8 6 4 +--R - 2cosh(x) + 12cosh(x) - 30cosh(x) + 40cosh(x) - 30cosh(x) +--R + +--R 2 +--R 12cosh(x) - 2 +--R * +--R 3 +--R coth(x) +--R + +--R 12 10 8 6 4 +--R - 3cosh(x) + 18cosh(x) - 45cosh(x) + 60cosh(x) - 45cosh(x) +--R + +--R 2 +--R 18cosh(x) - 3 +--R * +--R coth(x) +--R * +--R csch(x) +--R + +--R 11 9 7 5 3 +--R - 6cosh(x) - 94cosh(x) - 156cosh(x) - 156cosh(x) - 94cosh(x) +--R + +--R - 6cosh(x) +--R / +--R 12 11 2 10 +--R 48sinh(x) + 576cosh(x)sinh(x) + (3168cosh(x) - 288)sinh(x) +--R + +--R 3 9 +--R (10560cosh(x) - 2880cosh(x))sinh(x) +--R + +--R 4 2 8 +--R (23760cosh(x) - 12960cosh(x) + 720)sinh(x) +--R + +--R 5 3 7 +--R (38016cosh(x) - 34560cosh(x) + 5760cosh(x))sinh(x) +--R + +--R 6 4 2 6 +--R (44352cosh(x) - 60480cosh(x) + 20160cosh(x) - 960)sinh(x) +--R + +--R 7 5 3 5 +--R (38016cosh(x) - 72576cosh(x) + 40320cosh(x) - 5760cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (23760cosh(x) - 60480cosh(x) + 50400cosh(x) - 14400cosh(x) + 720) +--R * +--R 4 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 10560cosh(x) - 34560cosh(x) + 40320cosh(x) - 19200cosh(x) +--R + +--R 2880cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 3168cosh(x) - 12960cosh(x) + 20160cosh(x) - 14400cosh(x) +--R + +--R 2 +--R 4320cosh(x) - 288 +--R * +--R 2 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 576cosh(x) - 2880cosh(x) + 5760cosh(x) - 5760cosh(x) +--R + +--R 3 +--R 2880cosh(x) - 576cosh(x) +--R * +--R sinh(x) +--R + +--R 12 10 8 6 4 +--R 48cosh(x) - 288cosh(x) + 720cosh(x) - 960cosh(x) + 720cosh(x) +--R + +--R 2 +--R - 288cosh(x) + 48 +--R Type: Expression Integer +--E 551 + +--S 552 of 552 +d0799:= D(m0799,x) +--R +--R +--R (543) +--R 15 +--R sinh(x) +--R + +--R 2 6 2 4 +--R (- 16cosh(x) + 16)coth(x) + (16cosh(x) - 16)coth(x) +--R + +--R 2 +--R - cosh(x) + 1 +--R * +--R csch(x) +--R + +--R 14cosh(x) +--R * +--R 14 +--R sinh(x) +--R + +--R 3 6 +--R (- 224cosh(x) + 224cosh(x))coth(x) +--R + +--R 3 4 3 +--R (224cosh(x) - 224cosh(x))coth(x) - 14cosh(x) + 14cosh(x) +--R * +--R csch(x) +--R + +--R 2 +--R 91cosh(x) - 7 +--R * +--R 13 +--R sinh(x) +--R + +--R 4 2 6 +--R (- 1456cosh(x) + 1568cosh(x) - 112)coth(x) +--R + +--R 4 2 4 4 +--R (1456cosh(x) - 1568cosh(x) + 112)coth(x) - 91cosh(x) +--R + +--R 2 +--R 98cosh(x) - 7 +--R * +--R csch(x) +--R + +--R 3 +--R 364cosh(x) - 84cosh(x) +--R * +--R 12 +--R sinh(x) +--R + +--R 5 3 6 +--R (- 5824cosh(x) + 7168cosh(x) - 1344cosh(x))coth(x) +--R + +--R 5 3 4 5 +--R (5824cosh(x) - 7168cosh(x) + 1344cosh(x))coth(x) - 364cosh(x) +--R + +--R 3 +--R 448cosh(x) - 84cosh(x) +--R * +--R csch(x) +--R + +--R 4 2 +--R 1001cosh(x) - 334cosh(x) - 107 +--R * +--R 11 +--R sinh(x) +--R + +--R 6 4 2 6 +--R (- 16016cosh(x) + 23408cosh(x) - 7728cosh(x) + 336)coth(x) +--R + +--R 6 4 2 4 +--R (16016cosh(x) - 23408cosh(x) + 7728cosh(x) - 336)coth(x) +--R + +--R 6 4 2 +--R - 1001cosh(x) + 1463cosh(x) - 483cosh(x) + 21 +--R * +--R csch(x) +--R + +--R 5 3 +--R 2002cosh(x) - 132cosh(x) - 1198cosh(x) +--R * +--R 10 +--R sinh(x) +--R + +--R 7 5 3 +--R (- 32032cosh(x) + 56672cosh(x) - 28000cosh(x) + 3360cosh(x)) +--R * +--R 6 +--R coth(x) +--R + +--R 7 5 3 +--R (32032cosh(x) - 56672cosh(x) + 28000cosh(x) - 3360cosh(x)) +--R * +--R 4 +--R coth(x) +--R + +--R 7 5 3 +--R - 2002cosh(x) + 3542cosh(x) - 1750cosh(x) + 210cosh(x) +--R * +--R csch(x) +--R + +--R 6 4 2 +--R 3003cosh(x) + 3575cosh(x) - 5583cosh(x) - 547 +--R * +--R 9 +--R sinh(x) +--R + +--R 8 6 4 +--R - 48048cosh(x) + 103488cosh(x) - 70560cosh(x) +--R + +--R 2 +--R 15680cosh(x) - 560 +--R * +--R 6 +--R coth(x) +--R + +--R 8 6 4 +--R 48048cosh(x) - 103488cosh(x) + 70560cosh(x) +--R + +--R 2 +--R - 15680cosh(x) + 560 +--R * +--R 4 +--R coth(x) +--R + +--R 8 6 4 2 +--R - 3003cosh(x) + 6468cosh(x) - 4410cosh(x) + 980cosh(x) - 35 +--R * +--R csch(x) +--R + +--R 7 5 3 +--R 3432cosh(x) + 15576cosh(x) - 13992cosh(x) - 4888cosh(x) +--R * +--R 8 +--R sinh(x) +--R + +--R 9 7 5 +--R - 54912cosh(x) + 143616cosh(x) - 129024cosh(x) +--R + +--R 3 +--R 44800cosh(x) - 4480cosh(x) +--R * +--R 6 +--R coth(x) +--R + +--R 9 7 5 +--R 54912cosh(x) - 143616cosh(x) + 129024cosh(x) +--R + +--R 3 +--R - 44800cosh(x) + 4480cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 9 7 5 3 +--R - 3432cosh(x) + 8976cosh(x) - 8064cosh(x) + 2800cosh(x) +--R + +--R - 280cosh(x) +--R * +--R csch(x) +--R + +--R 8 6 4 2 +--R 3003cosh(x) + 35772cosh(x) - 19398cosh(x) - 18644cosh(x) - 733 +--R * +--R 7 +--R sinh(x) +--R + +--R 10 8 6 +--R - 48048cosh(x) + 151536cosh(x) - 174048cosh(x) +--R + +--R 4 2 +--R 86240cosh(x) - 16240cosh(x) + 560 +--R * +--R 6 +--R coth(x) +--R + +--R 10 8 6 +--R 48048cosh(x) - 151536cosh(x) + 174048cosh(x) +--R + +--R 4 2 +--R - 86240cosh(x) + 16240cosh(x) - 560 +--R * +--R 4 +--R coth(x) +--R + +--R 10 8 6 4 +--R - 3003cosh(x) + 9471cosh(x) - 10878cosh(x) + 5390cosh(x) +--R + +--R 2 +--R - 1015cosh(x) + 35 +--R * +--R csch(x) +--R + +--R 9 7 5 3 +--R 2002cosh(x) + 53592cosh(x) - 10836cosh(x) - 39592cosh(x) +--R + +--R - 5166cosh(x) +--R * +--R 6 +--R sinh(x) +--R + +--R 11 9 7 +--R - 32032cosh(x) + 120736cosh(x) - 173376cosh(x) +--R + +--R 5 3 +--R 116032cosh(x) - 34720cosh(x) + 3360cosh(x) +--R * +--R 6 +--R coth(x) +--R + +--R 11 9 7 +--R 32032cosh(x) - 120736cosh(x) + 173376cosh(x) +--R + +--R 5 3 +--R - 116032cosh(x) + 34720cosh(x) - 3360cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 11 9 7 5 +--R - 2002cosh(x) + 7546cosh(x) - 10836cosh(x) + 7252cosh(x) +--R + +--R 3 +--R - 2170cosh(x) + 210cosh(x) +--R * +--R csch(x) +--R + +--R 10 8 6 4 +--R 1001cosh(x) + 55671cosh(x) + 9786cosh(x) - 50834cosh(x) +--R + +--R 2 +--R - 15091cosh(x) - 533 +--R * +--R 5 +--R sinh(x) +--R + +--R 12 10 8 +--R - 16016cosh(x) + 71456cosh(x) - 126000cosh(x) +--R + +--R 6 4 2 +--R 109760cosh(x) - 47600cosh(x) + 8736cosh(x) - 336 +--R * +--R 6 +--R coth(x) +--R + +--R 12 10 8 +--R 16016cosh(x) - 71456cosh(x) + 126000cosh(x) +--R + +--R 6 4 2 +--R - 109760cosh(x) + 47600cosh(x) - 8736cosh(x) + 336 +--R * +--R 4 +--R coth(x) +--R + +--R 12 10 8 6 +--R - 1001cosh(x) + 4466cosh(x) - 7875cosh(x) + 6860cosh(x) +--R + +--R 4 2 +--R - 2975cosh(x) + 546cosh(x) - 21 +--R * +--R csch(x) +--R + +--R 11 9 7 5 +--R 364cosh(x) + 40700cosh(x) + 24792cosh(x) - 39592cosh(x) +--R + +--R 3 +--R - 23620cosh(x) - 2644cosh(x) +--R * +--R 4 +--R sinh(x) +--R + +--R 13 11 9 +--R - 5824cosh(x) + 30464cosh(x) - 64960cosh(x) +--R + +--R 7 5 3 +--R 71680cosh(x) - 42560cosh(x) + 12544cosh(x) - 1344cosh(x) +--R * +--R 6 +--R coth(x) +--R + +--R 13 11 9 +--R 5824cosh(x) - 30464cosh(x) + 64960cosh(x) +--R + +--R 7 5 3 +--R - 71680cosh(x) + 42560cosh(x) - 12544cosh(x) + 1344cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 13 11 9 7 +--R - 364cosh(x) + 1904cosh(x) - 4060cosh(x) + 4480cosh(x) +--R + +--R 5 3 +--R - 2660cosh(x) + 784cosh(x) - 84cosh(x) +--R * +--R csch(x) +--R + +--R 12 10 8 6 +--R 91cosh(x) + 20658cosh(x) + 22833cosh(x) - 17108cosh(x) +--R + +--R 4 2 +--R - 21235cosh(x) - 5118cosh(x) - 121 +--R * +--R 3 +--R sinh(x) +--R + +--R 14 12 10 +--R - 1456cosh(x) + 8848cosh(x) - 22512cosh(x) +--R + +--R 8 6 4 2 +--R 30800cosh(x) - 24080cosh(x) + 10416cosh(x) - 2128cosh(x) +--R + +--R 112 +--R * +--R 6 +--R coth(x) +--R + +--R 14 12 10 +--R 1456cosh(x) - 8848cosh(x) + 22512cosh(x) +--R + +--R 8 6 4 +--R - 30800cosh(x) + 24080cosh(x) - 10416cosh(x) +--R + +--R 2 +--R 2128cosh(x) - 112 +--R * +--R 4 +--R coth(x) +--R + +--R 14 12 10 8 +--R - 91cosh(x) + 553cosh(x) - 1407cosh(x) + 1925cosh(x) +--R + +--R 6 4 2 +--R - 1505cosh(x) + 651cosh(x) - 133cosh(x) + 7 +--R * +--R csch(x) +--R + +--R 13 11 9 7 +--R 14cosh(x) + 6956cosh(x) + 11602cosh(x) - 2584cosh(x) +--R + +--R 5 3 +--R - 10798cosh(x) - 4820cosh(x) - 370cosh(x) +--R * +--R 2 +--R sinh(x) +--R + +--R 15 13 11 9 +--R - 224cosh(x) + 1568cosh(x) - 4704cosh(x) + 7840cosh(x) +--R + +--R 7 5 3 +--R - 7840cosh(x) + 4704cosh(x) - 1568cosh(x) + 224cosh(x) +--R * +--R 6 +--R coth(x) +--R + +--R 15 13 11 9 +--R 224cosh(x) - 1568cosh(x) + 4704cosh(x) - 7840cosh(x) +--R + +--R 7 5 3 +--R 7840cosh(x) - 4704cosh(x) + 1568cosh(x) - 224cosh(x) +--R * +--R 4 +--R coth(x) +--R + +--R 15 13 11 9 +--R - 14cosh(x) + 98cosh(x) - 294cosh(x) + 490cosh(x) +--R + +--R 7 5 3 +--R - 490cosh(x) + 294cosh(x) - 98cosh(x) + 14cosh(x) +--R * +--R csch(x) +--R + +--R 14 12 10 8 +--R cosh(x) + 1401cosh(x) + 3221cosh(x) + 733cosh(x) +--R + +--R 6 4 2 +--R - 2781cosh(x) - 2197cosh(x) - 377cosh(x) - 1 +--R * +--R sinh(x) +--R + +--R 16 14 12 10 +--R - 16cosh(x) + 128cosh(x) - 448cosh(x) + 896cosh(x) +--R + +--R 8 6 4 2 +--R - 1120cosh(x) + 896cosh(x) - 448cosh(x) + 128cosh(x) - 16 +--R * +--R 6 +--R coth(x) +--R + +--R 16 14 12 10 +--R 16cosh(x) - 128cosh(x) + 448cosh(x) - 896cosh(x) +--R + +--R 8 6 4 2 +--R 1120cosh(x) - 896cosh(x) + 448cosh(x) - 128cosh(x) + 16 +--R * +--R 4 +--R coth(x) +--R + +--R 16 14 12 10 8 +--R - cosh(x) + 8cosh(x) - 28cosh(x) + 56cosh(x) - 70cosh(x) +--R + +--R 6 4 2 +--R 56cosh(x) - 28cosh(x) + 8cosh(x) - 1 +--R * +--R csch(x) +--R + +--R 13 11 9 7 5 +--R 128cosh(x) + 384cosh(x) + 256cosh(x) - 256cosh(x) - 384cosh(x) +--R + +--R 3 +--R - 128cosh(x) +--R / +--R 2 14 3 13 +--R (16cosh(x) - 16)sinh(x) + (224cosh(x) - 224cosh(x))sinh(x) +--R + +--R 4 2 12 +--R (1456cosh(x) - 1568cosh(x) + 112)sinh(x) +--R + +--R 5 3 11 +--R (5824cosh(x) - 7168cosh(x) + 1344cosh(x))sinh(x) +--R + +--R 6 4 2 10 +--R (16016cosh(x) - 23408cosh(x) + 7728cosh(x) - 336)sinh(x) +--R + +--R 7 5 3 9 +--R (32032cosh(x) - 56672cosh(x) + 28000cosh(x) - 3360cosh(x))sinh(x) +--R + +--R 8 6 4 2 +--R (48048cosh(x) - 103488cosh(x) + 70560cosh(x) - 15680cosh(x) + 560) +--R * +--R 8 +--R sinh(x) +--R + +--R 9 7 5 3 +--R 54912cosh(x) - 143616cosh(x) + 129024cosh(x) - 44800cosh(x) +--R + +--R 4480cosh(x) +--R * +--R 7 +--R sinh(x) +--R + +--R 10 8 6 4 +--R 48048cosh(x) - 151536cosh(x) + 174048cosh(x) - 86240cosh(x) +--R + +--R 2 +--R 16240cosh(x) - 560 +--R * +--R 6 +--R sinh(x) +--R + +--R 11 9 7 5 +--R 32032cosh(x) - 120736cosh(x) + 173376cosh(x) - 116032cosh(x) +--R + +--R 3 +--R 34720cosh(x) - 3360cosh(x) +--R * +--R 5 +--R sinh(x) +--R + +--R 12 10 8 6 +--R 16016cosh(x) - 71456cosh(x) + 126000cosh(x) - 109760cosh(x) +--R + +--R 4 2 +--R 47600cosh(x) - 8736cosh(x) + 336 +--R * +--R 4 +--R sinh(x) +--R + +--R 13 11 9 7 +--R 5824cosh(x) - 30464cosh(x) + 64960cosh(x) - 71680cosh(x) +--R + +--R 5 3 +--R 42560cosh(x) - 12544cosh(x) + 1344cosh(x) +--R * +--R 3 +--R sinh(x) +--R + +--R 14 12 10 8 +--R 1456cosh(x) - 8848cosh(x) + 22512cosh(x) - 30800cosh(x) +--R + +--R 6 4 2 +--R 24080cosh(x) - 10416cosh(x) + 2128cosh(x) - 112 +--R * +--R 2 +--R sinh(x) +--R + +--R 15 13 11 9 +--R 224cosh(x) - 1568cosh(x) + 4704cosh(x) - 7840cosh(x) +--R + +--R 7 5 3 +--R 7840cosh(x) - 4704cosh(x) + 1568cosh(x) - 224cosh(x) +--R * +--R sinh(x) +--R + +--R 16 14 12 10 8 +--R 16cosh(x) - 128cosh(x) + 448cosh(x) - 896cosh(x) + 1120cosh(x) +--R + +--R 6 4 2 +--R - 896cosh(x) + 448cosh(x) - 128cosh(x) + 16 +--R Type: Expression Integer +--E 552 + +)spool +\end{chunk} +\eject +\begin{thebibliography}{99} +\bibitem{1} Albert D. Rich ``Rule-based Mathematics'' +\verb|www.apmaths.uwo.ca/~arich| +\end{thebibliography} +\end{document}