diff --git a/changelog b/changelog index 40de2e7..0e19c20 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20100611 tpd src/axiom-website/patches.html 20100611.01.tpd.patch +20100611 tpd src/input/Makefile rule-based trig integration +20100611 tpd src/input/richtrig700-799.input rule-based trig integration 20100610 tpd src/axiom-website/patches.html 20100610.04.tpd.patch 20100610 tpd src/input/Makefile rule-based trig integration 20100610 tpd src/input/richtrig600-699.input rule-based trig integration diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index c8c6d9d..0770418 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2880,6 +2880,8 @@ src/input/richtrig400-499.input rule-based trig integration
src/input/richtrig500-599.input rule-based trig integration
20100610.04.tpd.patch src/input/richtrig600-699.input rule-based trig integration
+20100611.01.tpd.patch +src/input/richtrig700-799.input rule-based trig integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index 080c479..56e6e36 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -383,6 +383,7 @@ REGRES= ackermann.regress \ richtrig400-499.regress \ richtrig500-599.regress \ richtrig600-699.regress \ + richtrig700-799.regress \ robidoux.regress \ roman.regress roots.regress ruleset.regress rules.regress \ rubey.regress sae.regress spline.regress \ @@ -709,6 +710,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richtrig400-499.input \ ${OUT}/richtrig500-599.input \ ${OUT}/richtrig600-699.input \ + ${OUT}/richtrig700-799.input \ ${OUT}/robidoux.input ${OUT}/roman.input ${OUT}/roots.input \ ${OUT}/ruleset.input ${OUT}/rules.input ${OUT}/rubey.input \ ${OUT}/sae.input \ @@ -1064,6 +1066,7 @@ DOCFILES= \ ${DOC}/richtrig400-499.input.dvi \ ${DOC}/richtrig500-599.input.dvi \ ${DOC}/richtrig600-699.input.dvi \ + ${DOC}/richtrig700-799.input.dvi \ ${DOC}/rk4draw.input.dvi \ ${DOC}/robidoux.input.dvi ${DOC}/roman.input.dvi \ ${DOC}/romnum.as.dvi ${DOC}/roots.input.dvi \ diff --git a/src/input/richtrig700-799.input.pamphlet b/src/input/richtrig700-799.input.pamphlet new file mode 100644 index 0000000..28ba485 --- /dev/null +++ b/src/input/richtrig700-799.input.pamphlet @@ -0,0 +1,56612 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richtrig700-799.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richtrig700-799.output +)spool richtrig700-799.output +)set message auto off +)clear all + +--S 1 of 532 +t0700:= (1-cos(x))/(1+sin(x)) +--R +--R +--R - cos(x) + 1 +--R (1) ------------ +--R sin(x) + 1 +--R Type: Expression Integer +--E 1 + +--S 2 of 532 +r0700:= -log(1+sin(x))-cos(x)/(1+sin(x)) +--R +--R +--R (- sin(x) - 1)log(sin(x) + 1) - cos(x) +--R (2) -------------------------------------- +--R sin(x) + 1 +--R Type: Expression Integer +--E 2 + +--S 3 of 532 +a0700:= integrate(t0700,x) +--R +--R +--R (3) +--R sin(x) + cos(x) + 1 +--R (- 2sin(x) - 2cos(x) - 2)log(-------------------) +--R cos(x) + 1 +--R + +--R 2 +--R (sin(x) + cos(x) + 1)log(----------) - 2cos(x) - 2 +--R cos(x) + 1 +--R / +--R sin(x) + cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 3 + +--S 4 of 532 +m0700:= a0700-r0700 +--R +--R +--R (4) +--R 2 +--R (sin(x) + (cos(x) + 2)sin(x) + cos(x) + 1)log(sin(x) + 1) +--R + +--R 2 +--R (- 2sin(x) + (- 2cos(x) - 4)sin(x) - 2cos(x) - 2) +--R * +--R sin(x) + cos(x) + 1 +--R log(-------------------) +--R cos(x) + 1 +--R + +--R 2 2 +--R (sin(x) + (cos(x) + 2)sin(x) + cos(x) + 1)log(----------) +--R cos(x) + 1 +--R + +--R 2 +--R (- cos(x) - 2)sin(x) + cos(x) - cos(x) - 2 +--R / +--R 2 +--R sin(x) + (cos(x) + 2)sin(x) + cos(x) + 1 +--R Type: Expression Integer +--E 4 + +--S 5 of 532 +d0700:= D(m0700,x) +--R +--R +--R (5) +--R 5 4 2 3 +--R - sin(x) + (cos(x) - 1)sin(x) + (- 2cos(x) + 1)sin(x) +--R + +--R 2 2 4 2 5 +--R (- 3cos(x) - 2cos(x) + 1)sin(x) + (- cos(x) + cos(x) )sin(x) - cos(x) +--R + +--R 4 2 +--R - 2cos(x) + 2cos(x) + cos(x) +--R / +--R 4 2 3 +--R (cos(x) + 1)sin(x) + (2cos(x) + 6cos(x) + 4)sin(x) +--R + +--R 3 2 2 +--R (cos(x) + 7cos(x) + 12cos(x) + 6)sin(x) +--R + +--R 3 2 3 2 +--R (2cos(x) + 8cos(x) + 10cos(x) + 4)sin(x) + cos(x) + 3cos(x) + 3cos(x) +--R + +--R 1 +--R Type: Expression Integer +--E 5 + +--S 6 of 532 +t0701:= (a+b*sec(x))/(c+d*cos(x)) +--R +--R +--R b sec(x) + a +--R (6) ------------ +--R d cos(x) + c +--R Type: Expression Integer +--E 6 + +--S 7 of 532 +r0701:= 2*(a*c-b*d)*atan((c-d)*tan(1/2*x)/(c^2-d^2)^(1/2))/c/(c^2-d^2)^(1/2)+b*atanh(sin(x))/c +--R +--R +--R x +--R +---------+ (d - c)tan(-) +--R | 2 2 2 +--R b\|- d + c atanh(sin(x)) + (2b d - 2a c)atan(-------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R (7) ------------------------------------------------------------- +--R +---------+ +--R | 2 2 +--R c\|- d + c +--R Type: Expression Integer +--E 7 + +--S 8 of 532 +a0701:= integrate(t0701,x) +--R +--R +--R (8) +--R [ +--R +-------+ +--R | 2 2 sin(x) + cos(x) + 1 +--R b\|d - c log(-------------------) +--R cos(x) + 1 +--R + +--R +-------+ +--R | 2 2 sin(x) - cos(x) - 1 +--R - b\|d - c log(-------------------) +--R cos(x) + 1 +--R + +--R +-------+ +--R | 2 2 2 2 +--R (- c cos(x) - d)\|d - c + (d - c )sin(x) +--R (b d - a c)log(--------------------------------------------) +--R d cos(x) + c +--R / +--R +-------+ +--R | 2 2 +--R c\|d - c +--R , +--R +--R +---------+ +--R | 2 2 sin(x) + cos(x) + 1 +--R b\|- d + c log(-------------------) +--R cos(x) + 1 +--R + +--R +---------+ +--R | 2 2 sin(x) - cos(x) - 1 +--R - b\|- d + c log(-------------------) +--R cos(x) + 1 +--R + +--R +---------+ +--R | 2 2 +--R sin(x)\|- d + c +--R (- 2b d + 2a c)atan(---------------------) +--R (d + c)cos(x) + d + c +--R / +--R +---------+ +--R | 2 2 +--R c\|- d + c +--R ] +--R Type: Union(List Expression Integer,...) +--E 8 + +--S 9 of 532 +m0701a:= a0701.1-r0701 +--R +--R +--R (9) +--R +---------+ +-------+ +--R | 2 2 | 2 2 sin(x) + cos(x) + 1 +--R b\|- d + c \|d - c log(-------------------) +--R cos(x) + 1 +--R + +--R +---------+ +-------+ +--R | 2 2 | 2 2 sin(x) - cos(x) - 1 +--R - b\|- d + c \|d - c log(-------------------) +--R cos(x) + 1 +--R + +--R +-------+ +--R +---------+ | 2 2 2 2 +--R | 2 2 (- c cos(x) - d)\|d - c + (d - c )sin(x) +--R (b d - a c)\|- d + c log(--------------------------------------------) +--R d cos(x) + c +--R + +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R - b\|- d + c \|d - c atanh(sin(x)) +--R + +--R x +--R +-------+ (d - c)tan(-) +--R | 2 2 2 +--R (- 2b d + 2a c)\|d - c atan(-------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R / +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R c\|- d + c \|d - c +--R Type: Expression Integer +--E 9 + +--S 10 of 532 +d0701a:= D(m0701a,x) +--R +--R +--R (10) +--R 3 2 2 6 +--R (- b d + (b + a)c d - a c d)sin(x) +--R + +--R 2 2 2 +--R (- 3b c d + (2b + a)c d)cos(x) +--R + +--R 3 2 2 3 +--R (- b d + (- b - a)c d + (- 2b + 3a)c d + 2b c )cos(x) +--R + +--R 3 2 2 +--R 2b d + (- 5b - 2a)c d + (2b + 3a)c d +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 2 4 +--R (b d + (- 2b - a)c d + 2b c d)cos(x) +--R + +--R 3 2 2 3 3 +--R (b d + (2b - 3a)c d + (- b - a)c d + 2b c )cos(x) +--R + +--R 3 2 2 3 2 +--R (2b d + (5b - 3a)c d + (- b - 4a)c d + b c )cos(x) +--R + +--R 3 2 2 3 3 +--R (2b d + 3b c d + (3b - 6a)c d - 2b c )cos(x) - b d +--R + +--R 2 2 +--R (5b + a)c d + (- 2b - 3a)c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 5 +--R (- b c d + b c d)cos(x) +--R + +--R 3 2 2 3 4 +--R (- 2b d + (b + a)c d - b c d + b c )cos(x) +--R + +--R 3 2 2 3 +--R (- 3b d + (- b + 3a)c d + a c d)cos(x) +--R + +--R 3 2 2 3 2 +--R (- 2b d + (- 4b + 3a)c d + (b + 3a)c d - b c )cos(x) +--R + +--R 3 2 2 2 2 +--R (- b d + (- 2b + a)c d + (- b + 3a)c d)cos(x) - b c d + a c d +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 2 6 +--R (b d + (b - a)c d - a c d)sin(x) +--R + +--R 2 2 2 +--R (b c d + (2b + a)c d)cos(x) +--R + +--R 3 2 2 3 3 +--R (- b d + (b + 3a)c d + (2b + a)c d + 2b c )cos(x) - 2b d +--R + +--R 2 2 +--R (- b + 2a)c d + (2b + 3a)c d +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 2 4 +--R (- b d + (2b + a)c d + 2b c d)cos(x) +--R + +--R 3 2 2 3 3 +--R (b d + (2b + a)c d + (3b + a)c d + 2b c )cos(x) +--R + +--R 3 2 2 3 2 +--R (2b d + (b - a)c d + b c d + b c )cos(x) +--R + +--R 3 2 2 3 3 +--R (2b d + (b - 4a)c d + (- b - 2a)c d - 2b c )cos(x) + b d +--R + +--R 2 2 +--R (b - a)c d + (- 2b - 3a)c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 5 3 2 2 3 4 +--R (b c d + b c d)cos(x) + (2b d + (b - a)c d + b c d + b c )cos(x) +--R + +--R 3 2 2 3 +--R (b d + (b - a)c d - a c d)cos(x) +--R + +--R 3 2 2 3 2 +--R (- 2b d + a c d + (- b - a)c d - b c )cos(x) +--R + +--R 3 2 2 2 2 +--R (- b d + (- 2b + a)c d + (- b + a)c d)cos(x) - b c d + a c d +--R * +--R +-------+ +--R | 2 2 +--R \|d - c +--R + +--R 4 3 2 2 3 4 +--R (3b d + (- 2b - a)c d - 3b c d + (2b + a)c d)cos(x) + b d +--R + +--R 3 2 2 3 4 +--R (2b - a)c d - 3b c d + (- 2b + a)c d + 2b c +--R * +--R 5 +--R sin(x) +--R + +--R 4 3 2 2 3 3 +--R (b d + (- 2b + a)c d - b c d + (2b - a)c d)cos(x) +--R + +--R 4 3 3 4 2 +--R (- 2b d + (b + 3a)c d + (- b - 3a)c d + 2b c )cos(x) +--R + +--R 4 3 2 2 3 4 +--R (- 6b d + (3b + 4a)c d + 5b c d + (- 3b - 4a)c d + b c )cos(x) +--R + +--R 4 3 2 2 3 4 +--R - 2b d + (- 2b + 2a)c d + 4b c d + (2b - 2a)c d - 2b c +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 2 2 3 4 +--R (b d - b c d - b c d + b c d)cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (b d + (b - a)c d - 2b c d + (- b + a)c d + b c )cos(x) +--R + +--R 4 3 2 2 3 2 +--R (2b d + (b - 3a)c d - 2b c d + (- b + 3a)c d)cos(x) +--R + +--R 4 3 2 2 3 4 +--R (3b d + (- b - 3a)c d - 2b c d + (b + 3a)c d - b c )cos(x) +--R + +--R 4 3 2 2 3 +--R b d - a c d - b c d + a c d +--R * +--R sin(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 3 2 2 3 4 +--R (- b d + (- 2b - a)c d + b c d + (2b + a)c d)cos(x) - b d +--R + +--R 3 2 2 3 4 +--R (- 2b + a)c d - b c d + (2b - a)c d + 2b c +--R * +--R 5 +--R sin(x) +--R + +--R 4 3 2 2 3 3 +--R (- 3b d + (- 2b + a)c d + 3b c d + (2b - a)c d)cos(x) +--R + +--R 4 3 3 4 2 +--R (- 2b d + (- 3b + a)c d + (3b - a)c d + 2b c )cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (2b d + b c d - 3b c d - b c d + b c )cos(x) + 2b d +--R + +--R 3 3 4 +--R (2b - 2a)c d + (- 2b + 2a)c d - 2b c +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 2 2 3 4 +--R (- b d - b c d + b c d + b c d)cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (b d + (- b - a)c d - 2b c d + (b + a)c d + b c )cos(x) +--R + +--R 4 3 2 2 3 2 +--R (2b d + (b - a)c d - 2b c d + (- b + a)c d)cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (- b d + (b + a)c d + 2b c d + (- b - a)c d - b c )cos(x) - b d +--R + +--R 3 2 2 3 +--R a c d + b c d - a c d +--R * +--R sin(x) +--R / +--R 2 2 3 2 3 2 2 3 4 2 2 +--R (c d - c d)cos(x) + (c d - c d + c d - c )cos(x) + c d +--R + +--R 3 +--R - c d +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3 4 3 2 2 3 4 3 +--R (- c d + c d)cos(x) + (- c d - c d + c d + c )cos(x) +--R + +--R 3 2 2 3 4 2 3 4 +--R (- 2c d - c d + c d + 2c )cos(x) + (- 2c d + 2c )cos(x) +--R + +--R 2 2 3 +--R - 2c d + 2c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 3 4 3 2 2 3 4 3 +--R (c d - c d)cos(x) + (c d + c d - c d - c )cos(x) +--R + +--R 3 4 2 3 2 2 3 4 2 2 3 +--R (2c d - 2c )cos(x) + (c d + c d - c d - c )cos(x) + c d - c d +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 3 2 3 2 2 3 4 2 2 +--R (- c d - c d)cos(x) + (- c d - c d - c d - c )cos(x) - c d +--R + +--R 3 +--R - c d +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3 4 3 2 2 3 4 3 +--R (c d + c d)cos(x) + (c d + 3c d + 3c d + c )cos(x) +--R + +--R 3 2 2 3 4 2 +--R (2c d + 5c d + 5c d + 2c )cos(x) +--R + +--R 3 2 2 3 4 2 2 3 +--R (2c d + 4c d + 4c d + 2c )cos(x) + 2c d + 2c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 3 4 3 2 2 3 4 3 +--R (- c d - c d)cos(x) + (- c d - 3c d - 3c d - c )cos(x) +--R + +--R 3 2 2 3 4 2 +--R (- 2c d - 4c d - 4c d - 2c )cos(x) +--R + +--R 3 2 2 3 4 2 2 3 +--R (- c d - 3c d - 3c d - c )cos(x) - c d - c d +--R * +--R +-------+ +--R | 2 2 +--R \|d - c +--R + +--R 4 2 3 3 2 4 2 3 3 2 4 5 5 +--R ((- c d + c d + c d - c d)cos(x) - c d + c d + c d - c )sin(x) +--R + +--R 4 2 3 3 2 4 3 +--R (c d - c d - c d + c d)cos(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (2c d - c d - 3c d + c d + c )cos(x) +--R + +--R 4 3 2 5 2 3 3 2 4 5 +--R (2c d - 4c d + 2c )cos(x) + 2c d - 2c d - 2c d + 2c +--R * +--R 3 +--R sin(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- c d + c d + c d - c d)cos(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (- 2c d + c d + 3c d - c d - c )cos(x) +--R + +--R 4 2 3 3 2 4 5 2 3 3 2 4 5 +--R (- c d - c d + 3c d + c d - 2c )cos(x) - c d + c d + c d - c +--R * +--R sin(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 2 3 3 2 4 2 3 3 2 4 5 5 +--R ((c d + c d - c d - c d)cos(x) + c d + c d - c d - c )sin(x) +--R + +--R 4 2 3 3 2 4 3 +--R (- c d - c d + c d + c d)cos(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (- 2c d - 3c d + c d + 3c d + c )cos(x) +--R + +--R 4 2 3 4 5 2 3 3 2 4 5 +--R (- 2c d - 4c d + 4c d + 2c )cos(x) - 2c d - 2c d + 2c d + 2c +--R * +--R 3 +--R sin(x) +--R + +--R 4 2 3 3 2 4 3 +--R (c d + c d - c d - c d)cos(x) +--R + +--R 4 2 3 3 2 4 5 2 +--R (2c d + 3c d - c d - 3c d - c )cos(x) +--R + +--R 4 2 3 3 2 4 5 2 3 3 2 4 5 +--R (c d + 3c d + c d - 3c d - 2c )cos(x) + c d + c d - c d - c +--R * +--R sin(x) +--R Type: Expression Integer +--E 10 + +--S 11 of 532 +m0701b:= a0701.2-r0701 +--R +--R +--R (11) +--R +---------+ +--R | 2 2 sin(x) + cos(x) + 1 +--R b\|- d + c log(-------------------) +--R cos(x) + 1 +--R + +--R +---------+ +---------+ +--R | 2 2 sin(x) - cos(x) - 1 | 2 2 +--R - b\|- d + c log(-------------------) - b\|- d + c atanh(sin(x)) +--R cos(x) + 1 +--R + +--R +---------+ +--R | 2 2 +--R sin(x)\|- d + c +--R (- 2b d + 2a c)atan(---------------------) +--R (d + c)cos(x) + d + c +--R + +--R x +--R (d - c)tan(-) +--R 2 +--R (- 2b d + 2a c)atan(-------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R / +--R +---------+ +--R | 2 2 +--R c\|- d + c +--R Type: Expression Integer +--E 11 + +--S 12 of 532 +d0701b:= D(m0701b,x) +--R +--R +--R (12) +--R 2 2 6 +--R (- b d + (3b - a)c d + (- 2b + a)c )sin(x) +--R + +--R 2 2 2 +--R (2b d + (4b - 2a)c d - 4b c )cos(x) +--R + +--R 2 2 2 +--R (5b d + (4b - 2a)c d + (- 5b - 2a)c )cos(x) + 3b d +--R + +--R 2 +--R (- b + a)c d - 3a c +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 4 +--R (- b d + (b + 3a)c d + (- 2b - a)c )cos(x) +--R + +--R 2 2 3 +--R (- 6b d + (4b + 10a)c d + (- 6b - 2a)c )cos(x) +--R + +--R 2 2 2 +--R (- 12b d + 14a c d - 2b c )cos(x) +--R + +--R 2 2 2 +--R (- 10b d + (- 6b + 8a)c d + (4b + 4a)c )cos(x) - 3b d +--R + +--R 2 +--R (- 3b + a)c d + (2b + 3a)c +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 5 2 2 4 +--R (b d - b c )cos(x) + (5b d + (- b - 3a)c d + (- 2b + a)c )cos(x) +--R + +--R 2 2 3 +--R (10b d + (- 2b - 10a)c d + 2a c )cos(x) +--R + +--R 2 2 2 +--R (10b d - 12a c d + 2b c )cos(x) +--R + +--R 2 2 2 2 +--R (5b d + (2b - 6a)c d + (b - 2a)c )cos(x) + b d + (b - a)c d - a c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 6 +--R (- b d + (- b + 3a)c d + (- 2b + a)c )sin(x) +--R + +--R 2 2 2 +--R (2b d + (- 4b - 2a)c d - 4b c )cos(x) +--R + +--R 2 2 2 +--R (3b d + (- 6b - 6a)c d + (- 5b - 2a)c )cos(x) + 3b d +--R + +--R 2 +--R (- b - 7a)c d - 3a c +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 4 +--R (- b d + (- 3b - a)c d + (- 2b - a)c )cos(x) +--R + +--R 2 2 3 +--R (- 2b d + (- 8b - 2a)c d + (- 6b - 2a)c )cos(x) +--R + +--R 2 2 2 +--R (- 4b d + (- 4b + 2a)c d - 2b c )cos(x) +--R + +--R 2 2 2 +--R (- 6b d + (2b + 8a)c d + (4b + 4a)c )cos(x) - 3b d + (b + 5a)c d +--R + +--R 2 +--R (2b + 3a)c +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 5 +--R (- b d - 2b c d - b c )cos(x) +--R + +--R 2 2 4 +--R (- 3b d + (- 5b + a)c d + (- 2b + a)c )cos(x) +--R + +--R 2 2 3 +--R (- 2b d + (- 2b + 2a)c d + 2a c )cos(x) +--R + +--R 2 2 2 +--R (2b d + 4b c d + 2b c )cos(x) +--R + +--R 2 2 2 2 +--R (3b d + (4b - 2a)c d + (b - 2a)c )cos(x) + b d + (b - a)c d - a c +--R / +--R 2 2 3 6 +--R (c d - 2c d + c )sin(x) +--R + +--R 2 2 2 2 2 2 2 +--R (- 2c d + 2c d)cos(x) + (- 4c d + 4c d)cos(x) - 3c d + 4c d +--R + +--R 3 +--R - c +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 4 2 3 3 +--R (c d - c )cos(x) + (4c d - 4c )cos(x) +--R + +--R 2 2 3 2 2 2 3 2 +--R (8c d - 2c d - 6c )cos(x) + (8c d - 4c d - 4c )cos(x) + 3c d +--R + +--R 2 3 +--R - 2c d - c +--R * +--R 2 +--R sin(x) +--R + +--R 2 3 4 2 3 3 +--R (- c d + c )cos(x) + (- 4c d + 4c )cos(x) +--R + +--R 2 3 2 2 3 2 3 +--R (- 6c d + 6c )cos(x) + (- 4c d + 4c )cos(x) - c d + c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 3 6 +--R (- c d + c )sin(x) +--R + +--R 2 2 2 2 2 2 2 3 4 +--R ((2c d + 2c d)cos(x) + (4c d + 4c d)cos(x) + 3c d + 2c d - c )sin(x) +--R + +--R 2 2 3 4 2 2 3 3 +--R (- c d - 2c d - c )cos(x) + (- 4c d - 8c d - 4c )cos(x) +--R + +--R 2 2 3 2 2 2 3 +--R (- 8c d - 14c d - 6c )cos(x) + (- 8c d - 12c d - 4c )cos(x) +--R + +--R 2 2 3 +--R - 3c d - 4c d - c +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 3 4 2 2 3 3 +--R (c d + 2c d + c )cos(x) + (4c d + 8c d + 4c )cos(x) +--R + +--R 2 2 3 2 2 2 3 2 2 +--R (6c d + 12c d + 6c )cos(x) + (4c d + 8c d + 4c )cos(x) + c d + 2c d +--R + +--R 3 +--R c +--R Type: Expression Integer +--E 12 + +--S 13 of 532 +t0702:= (a+b*csc(x))/(c+d*sin(x)) +--R +--R +--R b csc(x) + a +--R (13) ------------ +--R d sin(x) + c +--R Type: Expression Integer +--E 13 + +--S 14 of 532 +r0702:= 2*(a*c-b*d)*atan((d+c*tan(1/2*x))/(c^2-d^2)^(1/2))/c/(c^2-d^2)^(1/2)-b*atanh(cos(x))/c +--R +--R +--R x +--R +---------+ c tan(-) + d +--R | 2 2 2 +--R - b\|- d + c atanh(cos(x)) + (- 2b d + 2a c)atan(------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R (14) ---------------------------------------------------------------- +--R +---------+ +--R | 2 2 +--R c\|- d + c +--R Type: Expression Integer +--E 14 + +--S 15 of 532 +a0702:= integrate(t0702,x) +--R +--R +--R (15) +--R [ +--R (b d - a c) +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (c d sin(x) + (d - c )cos(x) + d )\|d - c +--R + +--R 2 3 3 2 3 2 +--R (c d - c )sin(x) + (d - c d)cos(x) + d - c d +--R / +--R d sin(x) + c +--R + +--R +-------+ +--R | 2 2 sin(x) +--R b\|d - c log(----------) +--R cos(x) + 1 +--R / +--R +-------+ +--R | 2 2 +--R c\|d - c +--R , +--R +--R +---------+ +--R | 2 2 sin(x) +--R b\|- d + c log(----------) +--R cos(x) + 1 +--R + +--R +---------+ +--R | 2 2 +--R (c sin(x) + d cos(x) + d)\|- d + c +--R (2b d - 2a c)atan(-------------------------------------) +--R 2 2 2 2 +--R (d - c )cos(x) + d - c +--R / +--R +---------+ +--R | 2 2 +--R c\|- d + c +--R ] +--R Type: Union(List Expression Integer,...) +--E 15 + +--S 16 of 532 +m0702a:= a0702.1-r0702 +--R +--R +--R (16) +--R +---------+ +--R | 2 2 +--R (b d - a c)\|- d + c +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (c d sin(x) + (d - c )cos(x) + d )\|d - c +--R + +--R 2 3 3 2 3 2 +--R (c d - c )sin(x) + (d - c d)cos(x) + d - c d +--R / +--R d sin(x) + c +--R + +--R +---------+ +-------+ +--R | 2 2 | 2 2 sin(x) +--R b\|- d + c \|d - c log(----------) +--R cos(x) + 1 +--R + +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R b\|- d + c \|d - c atanh(cos(x)) +--R + +--R x +--R +-------+ c tan(-) + d +--R | 2 2 2 +--R (2b d - 2a c)\|d - c atan(------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R / +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R c\|- d + c \|d - c +--R Type: Expression Integer +--E 16 + +--S 17 of 532 +d0702a:= D(m0702a,x) +--R +--R +--R (17) +--R 2 2 4 +--R b c d cos(x)sin(x) +--R + +--R 3 3 2 3 3 3 +--R ((b c d - b c d)cos(x) + (b c d + b c d)cos(x))sin(x) +--R + +--R 4 3 3 3 +--R (b d - a c d + a c d)cos(x) +--R + +--R 4 3 2 2 4 2 +--R (b d - a c d + b c d - b c )cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- b d + a c d + b c d - a c d)cos(x) - b d + a c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 3 4 3 3 3 +--R (a c d - b c d)cos(x) + (b c d + b c d)cos(x) +--R + +--R 3 2 2 3 2 3 3 +--R (b c d - 2a c d + b c d)cos(x) + (- b c d - b c d)cos(x) +--R + +--R 3 2 2 +--R - b c d + a c d +--R * +--R sin(x) +--R + +--R 2 2 4 4 2 2 3 2 2 4 2 +--R (b c d - b c )cos(x) + b c d cos(x) + (- b c d + b c )cos(x) +--R + +--R 2 2 +--R - b c d cos(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 4 +--R 2b c d cos(x)sin(x) +--R + +--R 3 2 2 2 4 2 2 4 +--R (2a c d - 2b c d )cos(x) + (2b d + 2b c d )cos(x) + 2b d +--R + +--R 3 +--R - 2a c d +--R * +--R 3 +--R sin(x) +--R + +--R 3 3 2 2 3 2 3 +--R 2b c d cos(x) + (2a c d - 2b c d)cos(x) + 2b c d +--R + +--R 2 2 +--R - 2a c d +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 4 +--R (2a c d - 2b c d )cos(x) +--R + +--R 3 2 2 3 3 +--R (2a c d + 4b c d - 2a c d)cos(x) +--R + +--R 3 2 2 2 +--R (- 2a c d + 2b c d )cos(x) +--R + +--R 3 2 2 3 +--R (- 2a c d - 4b c d + 2a c d)cos(x) +--R * +--R sin(x) +--R + +--R 3 3 4 3 3 +--R (2b c d - 2b c d)cos(x) + 2b c d cos(x) +--R + +--R 3 3 2 3 +--R (- 2b c d + 2b c d)cos(x) - 2b c d cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 2 4 +--R b c d cos(x)sin(x) +--R + +--R 3 3 2 3 3 3 +--R ((b c d - b c d)cos(x) + (b c d + b c d)cos(x))sin(x) +--R + +--R 4 3 3 3 +--R (b d - a c d + a c d)cos(x) +--R + +--R 4 3 2 2 4 2 +--R (b d - a c d + b c d - b c )cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- b d + a c d + b c d - a c d)cos(x) - b d + a c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 3 4 3 3 3 +--R (a c d - b c d)cos(x) + (b c d + b c d)cos(x) +--R + +--R 3 2 2 3 2 3 3 +--R (b c d - 2a c d + b c d)cos(x) + (- b c d - b c d)cos(x) +--R + +--R 3 2 2 +--R - b c d + a c d +--R * +--R sin(x) +--R + +--R 2 2 4 4 2 2 3 2 2 4 2 +--R (b c d - b c )cos(x) + b c d cos(x) + (- b c d + b c )cos(x) +--R + +--R 2 2 +--R - b c d cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|d - c +--R + +--R 2 3 4 4 +--R (b c d - b c d)cos(x)sin(x) +--R + +--R 4 3 2 2 4 5 3 +--R ((b c d - b c d )cos(x) + (b c d - b c )cos(x))sin(x) +--R + +--R 5 4 3 2 4 3 +--R (b d - a c d + a c d - b c d)cos(x) +--R + +--R 5 4 3 2 4 2 +--R (b d - a c d + a c d - b c d)cos(x) +--R + +--R 5 4 2 3 3 2 5 4 +--R (- b d + a c d + b c d - a c d )cos(x) - b d + a c d +--R + +--R 2 3 3 2 +--R b c d - a c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 3 4 4 4 5 3 +--R (a c d - a c d)cos(x) + (b c d - b c )cos(x) +--R + +--R 4 2 3 3 2 4 2 +--R (b c d - 2a c d - b c d + 2a c d)cos(x) +--R + +--R 4 5 4 2 3 3 2 4 +--R (- b c d + b c )cos(x) - b c d + a c d + b c d - a c d +--R * +--R sin(x) +--R + +--R 2 3 4 4 2 3 4 3 +--R (b c d - b c d)cos(x) + (b c d - b c d)cos(x) +--R + +--R 2 3 4 2 2 3 4 +--R (- b c d + b c d)cos(x) + (- b c d + b c d)cos(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 3 2 4 +--R (2b c d - 2b c d )cos(x)sin(x) +--R + +--R 4 3 2 2 5 4 5 +--R (2a c d - 2a c d )cos(x) + (2b d - 2b c d)cos(x) + 2b d +--R + +--R 4 2 3 3 2 +--R - 2a c d - 2b c d + 2a c d +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 2 3 2 3 4 2 4 +--R (2b c d - 2b c d )cos(x) + (2a c d - 2a c d)cos(x) + 2b c d +--R + +--R 2 3 3 2 4 +--R - 2a c d - 2b c d + 2a c d +--R * +--R 2 +--R sin(x) +--R + +--R 4 3 2 4 +--R (2a c d - 2a c d )cos(x) +--R + +--R 4 2 3 3 2 4 3 +--R (2a c d + 2b c d - 2a c d - 2b c d)cos(x) +--R + +--R 4 3 2 2 +--R (- 2a c d + 2a c d )cos(x) +--R + +--R 4 2 3 3 2 4 +--R (- 2a c d - 2b c d + 2a c d + 2b c d)cos(x) +--R * +--R sin(x) +--R + +--R 4 3 2 4 4 3 2 3 +--R (2b c d - 2b c d )cos(x) + (2b c d - 2b c d )cos(x) +--R + +--R 4 3 2 2 4 3 2 +--R (- 2b c d + 2b c d )cos(x) + (- 2b c d + 2b c d )cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 3 4 4 +--R (b c d - b c d)cos(x)sin(x) +--R + +--R 4 3 2 2 4 5 3 +--R ((b c d - b c d )cos(x) + (b c d - b c )cos(x))sin(x) +--R + +--R 5 4 3 2 4 3 +--R (b d - a c d + a c d - b c d)cos(x) +--R + +--R 5 4 3 2 4 2 +--R (b d - a c d + a c d - b c d)cos(x) +--R + +--R 5 4 2 3 3 2 5 4 2 3 +--R (- b d + a c d + b c d - a c d )cos(x) - b d + a c d + b c d +--R + +--R 3 2 +--R - a c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 3 4 4 4 5 3 +--R (a c d - a c d)cos(x) + (b c d - b c )cos(x) +--R + +--R 4 2 3 3 2 4 2 4 5 +--R (b c d - 2a c d - b c d + 2a c d)cos(x) + (- b c d + b c )cos(x) +--R + +--R 4 2 3 3 2 4 +--R - b c d + a c d + b c d - a c d +--R * +--R sin(x) +--R + +--R 2 3 4 4 2 3 4 3 +--R (b c d - b c d)cos(x) + (b c d - b c d)cos(x) +--R + +--R 2 3 4 2 2 3 4 +--R (- b c d + b c d)cos(x) + (- b c d + b c d)cos(x) +--R / +--R 3 2 2 3 2 3 +--R (c d cos(x) - c d )sin(x) +--R + +--R 2 3 4 3 2 3 4 2 +--R (c d - c d)cos(x) + (c d + c d)cos(x) +--R + +--R 2 3 4 2 3 4 +--R (- c d + c d)cos(x) - c d - c d +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 5 3 3 2 2 3 2 5 3 2 +--R ((c d - c )cos(x) + c d cos(x) + (- c d + c )cos(x) - c d ) +--R * +--R sin(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 3 2 2 3 3 +--R (2c d cos(x) - 2c d )sin(x) +--R + +--R 4 3 2 3 4 3 2 2 +--R (2c d - 2c d )cos(x) + (2c d + 2c d )cos(x) +--R + +--R 4 3 2 4 3 2 +--R (- 2c d + 2c d )cos(x) - 2c d - 2c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 3 4 3 2 3 2 2 3 4 +--R (2c d - 2c d)cos(x) + 2c d cos(x) + (- 2c d + 2c d)cos(x) +--R + +--R 2 3 +--R - 2c d +--R * +--R sin(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 2 2 3 2 3 +--R (c d cos(x) - c d )sin(x) +--R + +--R 2 3 4 3 2 3 4 2 2 3 4 +--R (c d - c d)cos(x) + (c d + c d)cos(x) + (- c d + c d)cos(x) +--R + +--R 2 3 4 +--R - c d - c d +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 5 3 3 2 2 3 2 5 3 2 +--R ((c d - c )cos(x) + c d cos(x) + (- c d + c )cos(x) - c d )sin(x) +--R * +--R +-------+ +--R | 2 2 +--R \|d - c +--R + +--R 3 3 5 2 3 3 5 3 +--R ((c d - c d)cos(x) - c d + c d)sin(x) +--R + +--R 2 4 4 2 3 2 4 6 2 2 4 4 2 +--R (c d - c d )cos(x) + (c d - c )cos(x) + (- c d + c d )cos(x) +--R + +--R 2 4 6 +--R - c d + c +--R * +--R 2 +--R sin(x) +--R + +--R 3 3 5 3 3 3 5 2 3 3 5 +--R (c d - c d)cos(x) + (c d - c d)cos(x) + (- c d + c d)cos(x) +--R + +--R 3 3 5 +--R - c d + c d +--R * +--R sin(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 4 4 2 2 2 4 4 2 3 +--R ((2c d - 2c d )cos(x) - 2c d + 2c d )sin(x) +--R + +--R 5 3 3 3 5 5 2 +--R (2c d - 2c d )cos(x) + (2c d - 2c d)cos(x) +--R + +--R 5 3 3 5 5 +--R (- 2c d + 2c d )cos(x) - 2c d + 2c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 4 4 2 3 2 4 4 2 2 +--R (2c d - 2c d )cos(x) + (2c d - 2c d )cos(x) +--R + +--R 2 4 4 2 2 4 4 2 +--R (- 2c d + 2c d )cos(x) - 2c d + 2c d +--R * +--R sin(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 3 5 2 3 3 5 3 +--R ((c d - c d)cos(x) - c d + c d)sin(x) +--R + +--R 2 4 4 2 3 2 4 6 2 2 4 4 2 +--R (c d - c d )cos(x) + (c d - c )cos(x) + (- c d + c d )cos(x) +--R + +--R 2 4 6 +--R - c d + c +--R * +--R 2 +--R sin(x) +--R + +--R 3 3 5 3 3 3 5 2 3 3 5 +--R (c d - c d)cos(x) + (c d - c d)cos(x) + (- c d + c d)cos(x) +--R + +--R 3 3 5 +--R - c d + c d +--R * +--R sin(x) +--R Type: Expression Integer +--E 17 + +--S 18 of 532 +m0702b:= a0702.2-r0702 +--R +--R +--R (18) +--R +---------+ +---------+ +--R | 2 2 sin(x) | 2 2 +--R b\|- d + c log(----------) + b\|- d + c atanh(cos(x)) +--R cos(x) + 1 +--R + +--R +---------+ +--R | 2 2 +--R (c sin(x) + d cos(x) + d)\|- d + c +--R (2b d - 2a c)atan(-------------------------------------) +--R 2 2 2 2 +--R (d - c )cos(x) + d - c +--R + +--R x +--R c tan(-) + d +--R 2 +--R (2b d - 2a c)atan(------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R / +--R +---------+ +--R | 2 2 +--R c\|- d + c +--R Type: Expression Integer +--E 18 + +--S 19 of 532 +d0702b:= D(m0702b,x) +--R +--R +--R (19) +--R 2 4 +--R b c cos(x)sin(x) +--R + +--R 2 2 2 3 +--R ((b c d + a c )cos(x) + 2b c d cos(x) + b c d - a c )sin(x) +--R + +--R 2 2 3 2 2 2 +--R (2b d - 2a c d + 2b c )cos(x) + (2b d - 2a c d + 2b c )cos(x) +--R + +--R 2 2 +--R (- 2b d + 2a c d)cos(x) - 2b d + 2a c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 4 3 2 2 +--R (b c d + a c )cos(x) + 2b c d cos(x) - 2a c cos(x) +--R + +--R 2 +--R - 2b c d cos(x) - b c d + a c +--R * +--R sin(x) +--R + +--R 2 5 2 4 2 2 2 +--R b c cos(x) + 2b c cos(x) - 2b c cos(x) - b c cos(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 +--R 2b c d cos(x)sin(x) +--R + +--R 2 2 2 3 +--R (4a c d cos(x) + 4b d cos(x) + 4b d - 4a c d)sin(x) +--R + +--R 3 2 2 +--R (4b c d cos(x) + 4b c d cos(x) )sin(x) +--R + +--R 4 3 2 +--R (4a c d cos(x) + 4a c d cos(x) - 4a c d cos(x) - 4a c d cos(x)) +--R * +--R sin(x) +--R + +--R 5 4 2 +--R 2b c d cos(x) + 4b c d cos(x) - 4b c d cos(x) - 2b c d cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 4 +--R b c cos(x)sin(x) +--R + +--R 2 2 2 3 +--R ((b c d + a c )cos(x) + 2b c d cos(x) + b c d - a c )sin(x) +--R + +--R 2 2 3 2 2 2 +--R (2b d - 2a c d + 2b c )cos(x) + (2b d - 2a c d + 2b c )cos(x) +--R + +--R 2 2 +--R (- 2b d + 2a c d)cos(x) - 2b d + 2a c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 4 3 2 2 +--R (b c d + a c )cos(x) + 2b c d cos(x) - 2a c cos(x) - 2b c d cos(x) +--R + +--R 2 +--R - b c d + a c +--R * +--R sin(x) +--R + +--R 2 5 2 4 2 2 2 +--R b c cos(x) + 2b c cos(x) - 2b c cos(x) - b c cos(x) +--R / +--R 3 2 3 3 +--R (c cos(x) - c )sin(x) +--R + +--R 2 3 2 2 2 2 2 +--R (2c d cos(x) + 2c d cos(x) - 2c d cos(x) - 2c d)sin(x) +--R + +--R 3 4 3 3 3 3 +--R (c cos(x) + 2c cos(x) - 2c cos(x) - c )sin(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 2 3 +--R (2c d cos(x) - 2c d)sin(x) +--R + +--R 2 3 2 2 2 2 2 +--R (4c d cos(x) + 4c d cos(x) - 4c d cos(x) - 4c d )sin(x) +--R + +--R 2 4 2 3 2 2 +--R (2c d cos(x) + 4c d cos(x) - 4c d cos(x) - 2c d)sin(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 2 3 3 +--R (c cos(x) - c )sin(x) +--R + +--R 2 3 2 2 2 2 2 +--R (2c d cos(x) + 2c d cos(x) - 2c d cos(x) - 2c d)sin(x) +--R + +--R 3 4 3 3 3 3 +--R (c cos(x) + 2c cos(x) - 2c cos(x) - c )sin(x) +--R Type: Expression Integer +--E 19 + +--S 20 of 532 +t0703:= (a+b*sec(x)^2)/(c+d*cos(x)) +--R +--R +--R 2 +--R b sec(x) + a +--R (20) ------------- +--R d cos(x) + c +--R Type: Expression Integer +--E 20 + +--S 21 of 532 +r0703:= 2*(a*c^2+b*d^2)*atan((c-d)*tan(1/2*x)/(c^2-d^2)^(1/2))/c^2/(c^2-d^2)^(1/2)-b*d*atanh(sin(x))/c^2+b*tan(x)/c +--R +--R +--R (21) +--R x +--R +---------+ (d - c)tan(-) +--R | 2 2 2 2 2 +--R - b d\|- d + c atanh(sin(x)) + (- 2b d - 2a c )atan(-------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R +---------+ +--R | 2 2 +--R b c tan(x)\|- d + c +--R / +--R +---------+ +--R 2 | 2 2 +--R c \|- d + c +--R Type: Expression Integer +--E 21 + +--S 22 of 532 +a0703:= integrate(t0703,x) +--R +--R +--R (22) +--R [ +--R +-------+ +--R | 2 2 sin(x) + cos(x) + 1 +--R - b d cos(x)\|d - c log(-------------------) +--R cos(x) + 1 +--R + +--R +-------+ +--R | 2 2 sin(x) - cos(x) - 1 +--R b d cos(x)\|d - c log(-------------------) +--R cos(x) + 1 +--R + +--R +-------+ +--R | 2 2 2 2 +--R 2 2 (- c cos(x) - d)\|d - c + (- d + c )sin(x) +--R (b d + a c )cos(x)log(----------------------------------------------) +--R d cos(x) + c +--R + +--R +-------+ +--R | 2 2 +--R b c sin(x)\|d - c +--R / +--R +-------+ +--R 2 | 2 2 +--R c cos(x)\|d - c +--R , +--R +--R +---------+ +--R | 2 2 sin(x) + cos(x) + 1 +--R - b d cos(x)\|- d + c log(-------------------) +--R cos(x) + 1 +--R + +--R +---------+ +--R | 2 2 sin(x) - cos(x) - 1 +--R b d cos(x)\|- d + c log(-------------------) +--R cos(x) + 1 +--R + +--R +---------+ +--R | 2 2 +---------+ +--R 2 2 sin(x)\|- d + c | 2 2 +--R (2b d + 2a c )cos(x)atan(---------------------) + b c sin(x)\|- d + c +--R (d + c)cos(x) + d + c +--R / +--R +---------+ +--R 2 | 2 2 +--R c cos(x)\|- d + c +--R ] +--R Type: Union(List Expression Integer,...) +--E 22 + +--S 23 of 532 +m0703a:= a0703.1-r0703 +--R +--R +--R (23) +--R +---------+ +-------+ +--R | 2 2 | 2 2 sin(x) + cos(x) + 1 +--R - b d cos(x)\|- d + c \|d - c log(-------------------) +--R cos(x) + 1 +--R + +--R +---------+ +-------+ +--R | 2 2 | 2 2 sin(x) - cos(x) - 1 +--R b d cos(x)\|- d + c \|d - c log(-------------------) +--R cos(x) + 1 +--R + +--R +---------+ +--R 2 2 | 2 2 +--R (b d + a c )cos(x)\|- d + c +--R * +--R +-------+ +--R | 2 2 2 2 +--R (- c cos(x) - d)\|d - c + (- d + c )sin(x) +--R log(----------------------------------------------) +--R d cos(x) + c +--R + +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R b d cos(x)\|- d + c \|d - c atanh(sin(x)) +--R + +--R x +--R +-------+ (d - c)tan(-) +--R 2 2 | 2 2 2 +--R (2b d + 2a c )cos(x)\|d - c atan(-------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R (- b c cos(x)tan(x) + b c sin(x))\|- d + c \|d - c +--R / +--R +---------+ +-------+ +--R 2 | 2 2 | 2 2 +--R c cos(x)\|- d + c \|d - c +--R Type: Expression Integer +--E 23 + +--S 24 of 532 +d0703a:= D(m0703a,x) +--R +--R +--R (24) +--R 2 2 3 4 +--R (- b c d + b c d)cos(x) +--R + +--R 3 2 2 3 4 3 +--R (- b c d + b c d - b c d + b c )cos(x) +--R + +--R 2 2 3 2 +--R (- b c d + b c d)cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3 6 +--R (b c d - b c d)cos(x) +--R + +--R 3 2 2 3 4 5 +--R (b c d + b c d - b c d - b c )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (2b c d + b c d - b c d - 2b c )cos(x) +--R + +--R 3 4 3 2 2 3 2 +--R (2b c d - 2b c )cos(x) + (2b c d - 2b c d)cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 3 6 +--R (- b c d + b c d)cos(x) +--R + +--R 3 2 2 3 4 5 +--R (- b c d - b c d + b c d + b c )cos(x) +--R + +--R 3 4 4 +--R (- 2b c d + 2b c )cos(x) +--R + +--R 3 2 2 3 4 3 +--R (- b c d - b c d + b c d + b c )cos(x) +--R + +--R 2 2 3 2 +--R (- b c d + b c d)cos(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 3 4 +--R (b c d + b c d)cos(x) +--R + +--R 3 2 2 3 4 3 +--R (b c d + b c d + b c d + b c )cos(x) +--R + +--R 2 2 3 2 +--R (b c d + b c d)cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3 6 +--R (- b c d - b c d)cos(x) +--R + +--R 3 2 2 3 4 5 +--R (- b c d - 3b c d - 3b c d - b c )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 2b c d - 5b c d - 5b c d - 2b c )cos(x) +--R + +--R 3 2 2 3 4 3 +--R (- 2b c d - 4b c d - 4b c d - 2b c )cos(x) +--R + +--R 2 2 3 2 +--R (- 2b c d - 2b c d)cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 3 6 +--R (b c d + b c d)cos(x) +--R + +--R 3 2 2 3 4 5 +--R (b c d + 3b c d + 3b c d + b c )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (2b c d + 4b c d + 4b c d + 2b c )cos(x) +--R + +--R 3 2 2 3 4 3 2 2 3 2 +--R (b c d + 3b c d + 3b c d + b c )cos(x) + (b c d + b c d)cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 4 3 2 2 3 2 +--R (b d - b c d + (b + a)c d + (- b - a)c d)cos(x) +--R + +--R 3 2 2 3 4 2 2 3 +--R (b c d - b c d + b c d - b c )cos(x) + b c d - b c d +--R * +--R 6 +--R sin(x) +--R + +--R 3 2 2 3 4 +--R (3b c d - 3b c d + (b + a)c d)cos(x) +--R + +--R 4 2 2 3 4 3 +--R (b d + (b - a)c d + (- b + 3a)c d + b c )cos(x) +--R + +--R 4 3 2 2 3 4 +--R (- 2b d + 3b c d + (- 3b - 2a)c d + (b + 3a)c d + 2b c ) +--R * +--R 2 +--R cos(x) +--R + +--R 3 4 2 2 3 +--R (- 2b c d + 2b c )cos(x) - 2b c d + 2b c d +--R * +--R 4 +--R sin(x) +--R + +--R 4 3 2 2 6 +--R (- b d + 2b c d + (- 2b - a)c d )cos(x) +--R + +--R 4 3 2 2 3 5 +--R (- b d - 2b c d + (b - 3a)c d + (- 2b - a)c d)cos(x) +--R + +--R 4 3 2 2 3 4 +--R (- 2b d - 5b c d + (2b - 3a)c d + (- 2b - 4a)c d)cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (- 2b d - 2b c d - 2b c d + (b - 6a)c d - b c )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (b d - 3b c d + (2b + a)c d - 3a c d - 2b c )cos(x) +--R + +--R 3 2 2 3 4 2 2 3 +--R (b c d + b c d - b c d - b c )cos(x) + b c d - b c d +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 7 +--R (b c d - b c d )cos(x) +--R + +--R 4 3 2 2 3 6 +--R (2b d - b c d + (b + a)c d - b c d)cos(x) +--R + +--R 4 3 2 2 3 5 +--R (3b d + b c d + 3a c d + a c d)cos(x) +--R + +--R 4 3 2 2 3 4 +--R (2b d + 4b c d + (- b + 3a)c d + (b + 3a)c d)cos(x) +--R + +--R 4 3 2 2 3 3 +--R (b d + 2b c d + (b + a)c d + 3a c d)cos(x) +--R + +--R 3 3 2 +--R (b c d + a c d)cos(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 3 2 2 3 2 +--R (- b d - b c d + (- b - a)c d + (- b - a)c d)cos(x) +--R + +--R 3 2 2 3 4 2 2 3 +--R (- b c d - b c d - b c d - b c )cos(x) - b c d - b c d +--R * +--R 6 +--R sin(x) +--R + +--R 3 2 2 3 4 +--R (- b c d - b c d + (b + a)c d)cos(x) +--R + +--R 4 2 2 3 4 3 +--R (b d + (b + 3a)c d + (b + a)c d + b c )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (2b d + 3b c d + (3b + 2a)c d + (5b + 3a)c d + 2b c )cos(x) +--R + +--R 3 2 2 3 4 2 2 3 +--R (2b c d + 4b c d + 4b c d + 2b c )cos(x) + 2b c d + 2b c d +--R * +--R 4 +--R sin(x) +--R + +--R 4 3 2 2 6 +--R (b d - 2b c d + (- 2b + a)c d )cos(x) +--R + +--R 4 3 2 2 3 5 +--R (- b d - 2b c d + (- 3b + a)c d + (- 2b + a)c d)cos(x) +--R + +--R 4 3 2 2 3 4 +--R (- 2b d - b c d + (- 2b - a)c d - 2b c d)cos(x) +--R + +--R 4 3 2 2 3 4 +--R (- 2b d - 2b c d + (- 2b - 4a)c d + (- b - 2a)c d - b c ) +--R * +--R 3 +--R cos(x) +--R + +--R 4 3 2 2 3 4 +--R (- b d - 3b c d + (- 2b - a)c d + (- 4b - 3a)c d - 2b c ) +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 4 2 2 3 +--R (- b c d - 3b c d - 3b c d - b c )cos(x) - b c d - b c d +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 7 +--R (- b c d - b c d )cos(x) +--R + +--R 4 3 2 2 3 6 +--R (- 2b d - b c d + (- b - a)c d - b c d)cos(x) +--R + +--R 4 3 2 2 3 5 +--R (- b d - b c d - a c d - a c d)cos(x) +--R + +--R 4 2 2 3 4 +--R (2b d + (b + a)c d + (b - a)c d)cos(x) +--R + +--R 4 3 2 2 3 3 3 3 2 +--R (b d + 2b c d + (b + a)c d + a c d)cos(x) + (b c d + a c d)cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|d - c +--R + +--R 4 2 3 3 2 4 3 +--R (- b c d + b c d + b c d - b c d)cos(x) +--R + +--R 2 3 3 2 4 5 2 +--R (- b c d + b c d + b c d - b c )cos(x) +--R * +--R 5 +--R sin(x) +--R + +--R 4 2 3 3 2 4 5 +--R (b c d - b c d - b c d + b c d)cos(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (2b c d - b c d - 3b c d + b c d + b c )cos(x) +--R + +--R 4 3 2 5 3 +--R (2b c d - 4b c d + 2b c )cos(x) +--R + +--R 2 3 3 2 4 5 2 +--R (2b c d - 2b c d - 2b c d + 2b c )cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- b c d + b c d + b c d - b c d)cos(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 2b c d + b c d + 3b c d - b c d - b c )cos(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (- b c d - b c d + 3b c d + b c d - 2b c )cos(x) +--R + +--R 2 3 3 2 4 5 2 +--R (- b c d + b c d + b c d - b c )cos(x) +--R * +--R sin(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 2 3 3 2 4 3 +--R (b c d + b c d - b c d - b c d)cos(x) +--R + +--R 2 3 3 2 4 5 2 +--R (b c d + b c d - b c d - b c )cos(x) +--R * +--R 5 +--R sin(x) +--R + +--R 4 2 3 3 2 4 5 +--R (- b c d - b c d + b c d + b c d)cos(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (- 2b c d - 3b c d + b c d + 3b c d + b c )cos(x) +--R + +--R 4 2 3 4 5 3 +--R (- 2b c d - 4b c d + 4b c d + 2b c )cos(x) +--R + +--R 2 3 3 2 4 5 2 +--R (- 2b c d - 2b c d + 2b c d + 2b c )cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 4 2 3 3 2 4 5 +--R (b c d + b c d - b c d - b c d)cos(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (2b c d + 3b c d - b c d - 3b c d - b c )cos(x) +--R + +--R 4 2 3 3 2 4 5 3 +--R (b c d + 3b c d + b c d - 3b c d - 2b c )cos(x) +--R + +--R 2 3 3 2 4 5 2 +--R (b c d + b c d - b c d - b c )cos(x) +--R * +--R sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 4 2 3 3 2 4 2 3 3 2 +--R (b c d - b c d - b c d + b c d)cos(x) + b c d - b c d +--R + +--R 4 5 +--R - b c d + b c +--R * +--R 7 +--R sin(x) +--R + +--R 5 4 2 3 3 2 4 +--R (3b d - 3b c d + (- 2b + a)c d + 3b c d + (- b - a)c d) +--R * +--R 3 +--R cos(x) +--R + +--R 5 2 3 3 2 4 5 2 +--R (b d + (- 2b + a)c d + b c d + (b - a)c d - b c )cos(x) +--R + +--R 4 3 2 5 2 3 3 2 4 +--R (- 2b c d + 4b c d - 2b c )cos(x) - 2b c d + 2b c d + 2b c d +--R + +--R 5 +--R - 2b c +--R * +--R 5 +--R sin(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (b d - 2b c d + (- b - a)c d + 2b c d + a c d)cos(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 2b d + b c d - 3a c d - b c d + (2b + 3a)c d)cos(x) +--R + +--R 5 4 2 3 3 2 4 +--R (- 6b d + 4b c d + (4b - 4a)c d - 4b c d + (2b + 4a)c d) +--R * +--R 3 +--R cos(x) +--R + +--R 5 2 3 3 2 4 5 2 +--R (- 2b d + (3b - 2a)c d - b c d + (- b + 2a)c d + b c )cos(x) +--R + +--R 4 2 3 3 2 4 5 2 3 +--R (b c d + b c d - 3b c d - b c d + 2b c )cos(x) + b c d +--R + +--R 3 2 4 5 +--R - b c d - b c d + b c +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 2 3 3 2 6 +--R (b d - b c d - b c d + b c d )cos(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (b d + b c d + (- 2b + a)c d - b c d + (b - a)c d)cos(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (2b d + b c d + (- 2b + 3a)c d - b c d - 3a c d)cos(x) +--R + +--R 5 4 2 3 3 2 4 +--R (3b d - b c d + (- 2b + 3a)c d + b c d + (- b - 3a)c d) +--R * +--R 3 +--R cos(x) +--R + +--R 5 2 3 4 2 +--R (b d + (- b + a)c d - a c d)cos(x) +--R * +--R sin(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 2 3 3 2 4 2 3 3 2 4 +--R (- b c d - b c d + b c d + b c d)cos(x) - b c d - b c d + b c d +--R + +--R 5 +--R b c +--R * +--R 7 +--R sin(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- b d - b c d + (2b + a)c d + b c d + (- b - a)c d)cos(x) +--R + +--R 5 2 3 3 2 4 5 2 +--R (- b d + (2b - a)c d + b c d + (- b + a)c d - b c )cos(x) +--R + +--R 4 2 3 4 5 2 3 3 2 +--R (2b c d + 4b c d - 4b c d - 2b c )cos(x) + 2b c d + 2b c d +--R + +--R 4 5 +--R - 2b c d - 2b c +--R * +--R 5 +--R sin(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 3b d - 2b c d + (3b - a)c d + 2b c d + a c d)cos(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (- 2b d - 3b c d - a c d + 3b c d + (2b + a)c d)cos(x) +--R + +--R 5 2 3 4 3 +--R (2b d - 4b c d + 2b c d)cos(x) +--R + +--R 5 2 3 3 2 4 5 2 +--R (2b d + (- 3b + 2a)c d - b c d + (b - 2a)c d + b c )cos(x) +--R + +--R 4 2 3 3 2 4 5 2 3 +--R (- b c d - 3b c d - b c d + 3b c d + 2b c )cos(x) - b c d +--R + +--R 3 2 4 5 +--R - b c d + b c d + b c +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 2 3 3 2 6 +--R (- b d - b c d + b c d + b c d )cos(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R (b d - b c d + (- 2b + a)c d + b c d + (b - a)c d)cos(x) +--R + +--R 5 4 2 3 3 2 4 4 +--R (2b d + b c d + (- 2b + a)c d - b c d - a c d)cos(x) +--R + +--R 5 4 2 3 3 2 4 3 +--R (- b d + b c d + (2b - a)c d - b c d + (- b + a)c d)cos(x) +--R + +--R 5 2 3 4 2 +--R (- b d + (b - a)c d + a c d)cos(x) +--R * +--R sin(x) +--R / +--R 3 2 4 4 2 3 3 2 4 5 3 +--R (c d - c d)cos(x) + (c d - c d + c d - c )cos(x) +--R + +--R 3 2 4 2 +--R (c d - c d)cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 4 6 2 3 3 2 4 5 5 +--R (- c d + c d)cos(x) + (- c d - c d + c d + c )cos(x) +--R + +--R 2 3 3 2 4 5 4 2 3 5 3 +--R (- 2c d - c d + c d + 2c )cos(x) + (- 2c d + 2c )cos(x) +--R + +--R 3 2 4 2 +--R (- 2c d + 2c d)cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 4 6 2 3 3 2 4 5 5 +--R (c d - c d)cos(x) + (c d + c d - c d - c )cos(x) +--R + +--R 2 3 5 4 2 3 3 2 4 5 3 +--R (2c d - 2c )cos(x) + (c d + c d - c d - c )cos(x) +--R + +--R 3 2 4 2 +--R (c d - c d)cos(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 4 4 2 3 3 2 4 5 3 +--R (- c d - c d)cos(x) + (- c d - c d - c d - c )cos(x) +--R + +--R 3 2 4 2 +--R (- c d - c d)cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 4 6 2 3 3 2 4 5 5 +--R (c d + c d)cos(x) + (c d + 3c d + 3c d + c )cos(x) +--R + +--R 2 3 3 2 4 5 4 +--R (2c d + 5c d + 5c d + 2c )cos(x) +--R + +--R 2 3 3 2 4 5 3 3 2 4 2 +--R (2c d + 4c d + 4c d + 2c )cos(x) + (2c d + 2c d)cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 4 6 2 3 3 2 4 5 5 +--R (- c d - c d)cos(x) + (- c d - 3c d - 3c d - c )cos(x) +--R + +--R 2 3 3 2 4 5 4 +--R (- 2c d - 4c d - 4c d - 2c )cos(x) +--R + +--R 2 3 3 2 4 5 3 3 2 4 2 +--R (- c d - 3c d - 3c d - c )cos(x) + (- c d - c d)cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|d - c +--R + +--R 2 4 3 3 4 2 5 3 +--R (c d - c d - c d + c d)cos(x) +--R + +--R 3 3 4 2 5 6 2 +--R (c d - c d - c d + c )cos(x) +--R * +--R 5 +--R sin(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (- c d + c d + c d - c d)cos(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 2c d + c d + 3c d - c d - c )cos(x) +--R + +--R 2 4 4 2 6 3 +--R (- 2c d + 4c d - 2c )cos(x) +--R + +--R 3 3 4 2 5 6 2 +--R (- 2c d + 2c d + 2c d - 2c )cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (c d - c d - c d + c d)cos(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (2c d - c d - 3c d + c d + c )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (c d + c d - 3c d - c d + 2c )cos(x) +--R + +--R 3 3 4 2 5 6 2 +--R (c d - c d - c d + c )cos(x) +--R * +--R sin(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 4 3 3 4 2 5 3 +--R (- c d - c d + c d + c d)cos(x) +--R + +--R 3 3 4 2 5 6 2 +--R (- c d - c d + c d + c )cos(x) +--R * +--R 5 +--R sin(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (c d + c d - c d - c d)cos(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (2c d + 3c d - c d - 3c d - c )cos(x) +--R + +--R 2 4 3 3 5 6 3 +--R (2c d + 4c d - 4c d - 2c )cos(x) +--R + +--R 3 3 4 2 5 6 2 +--R (2c d + 2c d - 2c d - 2c )cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (- c d - c d + c d + c d)cos(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 2c d - 3c d + c d + 3c d + c )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (- c d - 3c d - c d + 3c d + 2c )cos(x) +--R + +--R 3 3 4 2 5 6 2 +--R (- c d - c d + c d + c )cos(x) +--R * +--R sin(x) +--R Type: Expression Integer +--E 24 + +--S 25 of 532 +m0703b:= a0703.2-r0703 +--R +--R +--R (25) +--R +---------+ +--R | 2 2 sin(x) + cos(x) + 1 +--R - b d cos(x)\|- d + c log(-------------------) +--R cos(x) + 1 +--R + +--R +---------+ +--R | 2 2 sin(x) - cos(x) - 1 +--R b d cos(x)\|- d + c log(-------------------) +--R cos(x) + 1 +--R + +--R +---------+ +--R | 2 2 +--R b d cos(x)\|- d + c atanh(sin(x)) +--R + +--R +---------+ +--R | 2 2 +--R 2 2 sin(x)\|- d + c +--R (2b d + 2a c )cos(x)atan(---------------------) +--R (d + c)cos(x) + d + c +--R + +--R x +--R (d - c)tan(-) +--R 2 2 2 +--R (2b d + 2a c )cos(x)atan(-------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R +---------+ +--R | 2 2 +--R (- b c cos(x)tan(x) + b c sin(x))\|- d + c +--R / +--R +---------+ +--R 2 | 2 2 +--R c cos(x)\|- d + c +--R Type: Expression Integer +--E 25 + +--S 26 of 532 +d0703b:= D(m0703b,x) +--R +--R +--R (26) +--R 2 2 3 2 6 +--R (- b c d + 2b c d - b c )cos(x) sin(x) +--R + +--R 2 2 4 2 2 3 +--R (2b c d - 2b c d)cos(x) + (4b c d - 4b c d)cos(x) +--R + +--R 2 2 3 2 +--R (3b c d - 4b c d + b c )cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 6 2 3 5 +--R (- b c d + b c )cos(x) + (- 4b c d + 4b c )cos(x) +--R + +--R 2 2 3 4 +--R (- 8b c d + 2b c d + 6b c )cos(x) +--R + +--R 2 2 3 3 +--R (- 8b c d + 4b c d + 4b c )cos(x) +--R + +--R 2 2 3 2 +--R (- 3b c d + 2b c d + b c )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 3 6 2 3 5 +--R (b c d - b c )cos(x) + (4b c d - 4b c )cos(x) +--R + +--R 2 3 4 2 3 3 +--R (6b c d - 6b c )cos(x) + (4b c d - 4b c )cos(x) +--R + +--R 2 3 2 +--R (b c d - b c )cos(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 3 2 6 +--R (b c d - b c )cos(x) sin(x) +--R + +--R 2 2 4 2 2 3 +--R (- 2b c d - 2b c d)cos(x) + (- 4b c d - 4b c d)cos(x) +--R + +--R 2 2 3 2 +--R (- 3b c d - 2b c d + b c )cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3 6 +--R (b c d + 2b c d + b c )cos(x) +--R + +--R 2 2 3 5 +--R (4b c d + 8b c d + 4b c )cos(x) +--R + +--R 2 2 3 4 +--R (8b c d + 14b c d + 6b c )cos(x) +--R + +--R 2 2 3 3 +--R (8b c d + 12b c d + 4b c )cos(x) +--R + +--R 2 2 3 2 +--R (3b c d + 4b c d + b c )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 3 6 +--R (- b c d - 2b c d - b c )cos(x) +--R + +--R 2 2 3 5 +--R (- 4b c d - 8b c d - 4b c )cos(x) +--R + +--R 2 2 3 4 +--R (- 6b c d - 12b c d - 6b c )cos(x) +--R + +--R 2 2 3 3 2 2 3 2 +--R (- 4b c d - 8b c d - 4b c )cos(x) + (- b c d - 2b c d - b c )cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 2 2 3 8 +--R (b c d - 2b c d + b c )sin(x) +--R + +--R 3 2 2 3 2 +--R (b d - 5b c d + (4b - a)c d + a c )cos(x) +--R + +--R 2 2 2 2 3 +--R (- 4b c d + 4b c d)cos(x) - 3b c d + 4b c d - b c +--R * +--R 6 +--R sin(x) +--R + +--R 3 2 2 3 4 +--R (- 2b d - 3b c d + (4b - 2a)c d - b c )cos(x) +--R + +--R 3 2 3 3 +--R (- 5b d + (5b - 2a)c d + (- 4b - 2a)c )cos(x) +--R + +--R 3 2 2 3 2 +--R (- 3b d + 9b c d + (- 2b + a)c d + (- 6b - 3a)c )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (8b c d - 4b c d - 4b c )cos(x) + 3b c d - 2b c d - b c +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 2 3 6 +--R (b d - b c d + (2b + 3a)c d - a c )cos(x) +--R + +--R 3 2 2 3 5 +--R (6b d - 4b c d + (6b + 10a)c d - 2a c )cos(x) +--R + +--R 3 2 2 3 4 +--R (12b d - b c d + (2b + 14a)c d + b c )cos(x) +--R + +--R 3 2 2 3 3 +--R (10b d + 2b c d + (- 4b + 8a)c d + (4b + 4a)c )cos(x) +--R + +--R 3 2 2 3 2 +--R (3b d - 3b c d + (- 2b + a)c d + (6b + 3a)c )cos(x) +--R + +--R 2 3 2 3 +--R (- 4b c d + 4b c )cos(x) - b c d + b c +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 7 +--R (- b d + b c d)cos(x) +--R + +--R 3 2 2 3 6 +--R (- 5b d + b c d + (2b - 3a)c d + a c )cos(x) +--R + +--R 3 2 2 3 5 +--R (- 10b d + 2b c d - 10a c d + 2a c )cos(x) +--R + +--R 3 2 4 +--R (- 10b d + (- 2b - 12a)c d)cos(x) +--R + +--R 3 2 2 3 3 +--R (- 5b d - 2b c d + (- b - 6a)c d - 2a c )cos(x) +--R + +--R 3 2 2 3 2 +--R (- b d - b c d - a c d - a c )cos(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 3 8 +--R (- b c d + b c )sin(x) +--R + +--R 3 2 2 3 2 +--R (b d + 3b c d + (4b + 3a)c d + a c )cos(x) +--R + +--R 2 2 2 2 3 +--R (4b c d + 4b c d)cos(x) + 3b c d + 2b c d - b c +--R * +--R 6 +--R sin(x) +--R + +--R 3 2 2 3 4 +--R (- 2b d + 3b c d + (2b - 2a)c d - b c )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 3b d + 2b c d + (- 3b - 6a)c d + (- 4b - 2a)c )cos(x) +--R + +--R 3 2 2 3 2 +--R (- 3b d - 7b c d + (- 14b - 7a)c d + (- 6b - 3a)c )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (- 8b c d - 12b c d - 4b c )cos(x) - 3b c d - 4b c d - b c +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 2 3 6 +--R (b d + 3b c d + (2b - a)c d - a c )cos(x) +--R + +--R 3 2 2 3 5 +--R (2b d + 8b c d + (6b - 2a)c d - 2a c )cos(x) +--R + +--R 3 2 2 3 4 +--R (4b d + 5b c d + (4b + 2a)c d + b c )cos(x) +--R + +--R 3 2 2 3 3 +--R (6b d + 2b c d + (4b + 8a)c d + (4b + 4a)c )cos(x) +--R + +--R 3 2 2 3 2 +--R (3b d + 5b c d + (10b + 5a)c d + (6b + 3a)c )cos(x) +--R + +--R 2 2 3 2 2 3 +--R (4b c d + 8b c d + 4b c )cos(x) + b c d + 2b c d + b c +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 7 +--R (b d + 2b c d + b c d)cos(x) +--R + +--R 3 2 2 3 6 +--R (3b d + 5b c d + (2b + a)c d + a c )cos(x) +--R + +--R 3 2 2 3 5 +--R (2b d + 2b c d + 2a c d + 2a c )cos(x) +--R + +--R 3 2 2 4 +--R (- 2b d - 4b c d - 2b c d)cos(x) +--R + +--R 3 2 2 3 3 +--R (- 3b d - 4b c d + (- b - 2a)c d - 2a c )cos(x) +--R + +--R 3 2 2 3 2 +--R (- b d - b c d - a c d - a c )cos(x) +--R / +--R 2 2 3 4 2 6 +--R (c d - 2c d + c )cos(x) sin(x) +--R + +--R 2 2 3 4 2 2 3 3 +--R (- 2c d + 2c d)cos(x) + (- 4c d + 4c d)cos(x) +--R + +--R 2 2 3 4 2 +--R (- 3c d + 4c d - c )cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 4 6 2 2 4 5 +--R (c d - c )cos(x) + (4c d - 4c )cos(x) +--R + +--R 2 2 3 4 4 2 2 3 4 3 +--R (8c d - 2c d - 6c )cos(x) + (8c d - 4c d - 4c )cos(x) +--R + +--R 2 2 3 4 2 +--R (3c d - 2c d - c )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 4 6 2 2 4 5 +--R (- c d + c )cos(x) + (- 4c d + 4c )cos(x) +--R + +--R 2 2 4 4 2 2 4 3 2 2 4 2 +--R (- 6c d + 6c )cos(x) + (- 4c d + 4c )cos(x) + (- c d + c )cos(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 4 2 6 +--R (- c d + c )cos(x) sin(x) +--R + +--R 2 2 3 4 2 2 3 3 +--R (2c d + 2c d)cos(x) + (4c d + 4c d)cos(x) +--R + +--R 2 2 3 4 2 +--R (3c d + 2c d - c )cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 3 4 6 2 2 3 4 5 +--R (- c d - 2c d - c )cos(x) + (- 4c d - 8c d - 4c )cos(x) +--R + +--R 2 2 3 4 4 2 2 3 4 3 +--R (- 8c d - 14c d - 6c )cos(x) + (- 8c d - 12c d - 4c )cos(x) +--R + +--R 2 2 3 4 2 +--R (- 3c d - 4c d - c )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 3 4 6 2 2 3 4 5 +--R (c d + 2c d + c )cos(x) + (4c d + 8c d + 4c )cos(x) +--R + +--R 2 2 3 4 4 2 2 3 4 3 +--R (6c d + 12c d + 6c )cos(x) + (4c d + 8c d + 4c )cos(x) +--R + +--R 2 2 3 4 2 +--R (c d + 2c d + c )cos(x) +--R Type: Expression Integer +--E 26 + +--S 27 of 532 +t0704:= (a+b*csc(x)^2)/(c+d*sin(x)) +--R +--R +--R 2 +--R b csc(x) + a +--R (27) ------------- +--R d sin(x) + c +--R Type: Expression Integer +--E 27 + +--S 28 of 532 +r0704:= 2*(a*c^2+b*d^2)*atan((d+c*tan(1/2*x))/(c^2-d^2)^(1/2))/c^2/(c^2-d^2)^(1/2)+b*d*atanh(cos(x))/c^2-b*cot(x)/c +--R +--R +--R (28) +--R x +--R +---------+ c tan(-) + d +--R | 2 2 2 2 2 +--R b d\|- d + c atanh(cos(x)) + (2b d + 2a c )atan(------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R +---------+ +--R | 2 2 +--R - b c cot(x)\|- d + c +--R / +--R +---------+ +--R 2 | 2 2 +--R c \|- d + c +--R Type: Expression Integer +--E 28 + +--S 29 of 532 +a0704:= integrate(t0704,x) +--R +--R +--R (29) +--R [ +--R 2 2 +--R (b d + a c )sin(x) +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (c d sin(x) + (d - c )cos(x) + d )\|d - c +--R + +--R 2 3 3 2 3 2 +--R (- c d + c )sin(x) + (- d + c d)cos(x) - d + c d +--R / +--R d sin(x) + c +--R + +--R +-------+ +-------+ +--R | 2 2 sin(x) | 2 2 +--R - b d sin(x)\|d - c log(----------) - b c cos(x)\|d - c +--R cos(x) + 1 +--R / +--R +-------+ +--R 2 | 2 2 +--R c sin(x)\|d - c +--R , +--R +--R +---------+ +--R | 2 2 sin(x) +--R - b d sin(x)\|- d + c log(----------) +--R cos(x) + 1 +--R + +--R +---------+ +--R | 2 2 +--R 2 2 (c sin(x) + d cos(x) + d)\|- d + c +--R (- 2b d - 2a c )sin(x)atan(-------------------------------------) +--R 2 2 2 2 +--R (d - c )cos(x) + d - c +--R + +--R +---------+ +--R | 2 2 +--R - b c cos(x)\|- d + c +--R / +--R +---------+ +--R 2 | 2 2 +--R c sin(x)\|- d + c +--R ] +--R Type: Union(List Expression Integer,...) +--E 29 + +--S 30 of 532 +m0704a:= a0704.1-r0704 +--R +--R +--R (30) +--R +---------+ +--R 2 2 | 2 2 +--R (b d + a c )sin(x)\|- d + c +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (c d sin(x) + (d - c )cos(x) + d )\|d - c +--R + +--R 2 3 3 2 3 2 +--R (- c d + c )sin(x) + (- d + c d)cos(x) - d + c d +--R / +--R d sin(x) + c +--R + +--R +---------+ +-------+ +--R | 2 2 | 2 2 sin(x) +--R - b d sin(x)\|- d + c \|d - c log(----------) +--R cos(x) + 1 +--R + +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R - b d sin(x)\|- d + c \|d - c atanh(cos(x)) +--R + +--R x +--R +-------+ c tan(-) + d +--R 2 2 | 2 2 2 +--R (- 2b d - 2a c )sin(x)\|d - c atan(------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R (b c cot(x)sin(x) - b c cos(x))\|- d + c \|d - c +--R / +--R +---------+ +-------+ +--R 2 | 2 2 | 2 2 +--R c sin(x)\|- d + c \|d - c +--R Type: Expression Integer +--E 30 + +--S 31 of 532 +d0704a:= D(m0704a,x) +--R +--R +--R (31) +--R 2 3 5 +--R - b c d cos(x)sin(x) +--R + +--R 3 2 2 3 2 2 +--R (- b c d cos(x) + b c d )cot(x) +--R + +--R 4 3 2 2 4 3 2 +--R (- b c d + b c d )cos(x) + (- b c d - b c d )cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 4 3 2 3 4 2 +--R (- b c d + b c d)cos(x) + (- b c d - b c d)cos(x) +--R + +--R 2 3 4 2 3 4 +--R (b c d - b c d)cos(x) + b c d + b c d +--R * +--R 2 +--R cot(x) +--R + +--R 5 2 3 4 3 +--R (- b d - a c d + a c d)cos(x) +--R + +--R 5 2 3 4 2 +--R (- b d + (- b - a)c d + b c d)cos(x) +--R + +--R 5 2 3 4 5 2 3 +--R (b d + (- b + a)c d - a c d)cos(x) + b d + a c d +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 5 3 3 2 2 +--R (- b c d + b c )cos(x) - b c d cos(x) +--R + +--R 3 2 5 3 2 +--R (b c d - b c )cos(x) + b c d +--R * +--R 2 +--R cot(x) +--R + +--R 3 2 4 4 3 2 3 +--R (2b + a)c d cos(x) + (- b c d - b c d )cos(x) +--R + +--R 4 3 2 2 4 3 2 +--R (- b c d + (- 2b - 2a)c d )cos(x) + (b c d + b c d )cos(x) +--R + +--R 4 3 2 +--R b c d + a c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 3 4 5 4 4 +--R (b c d - b c d)cos(x) + 2b c d cos(x) +--R + +--R 2 3 4 3 4 2 2 3 +--R (- 2b c d + b c d)cos(x) - 2b c d cos(x) + b c d cos(x) +--R * +--R sin(x) +--R + +--R 3 2 5 5 3 2 4 3 2 5 3 +--R (b c d - b c )cos(x) + b c d cos(x) + (- b c d + b c )cos(x) +--R + +--R 3 2 2 +--R - b c d cos(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 5 +--R - 2b c d cos(x)sin(x) +--R + +--R 2 3 2 2 3 2 2 3 2 +--R (- 2b c d cos(x) + 2b c d )cot(x) + (2b + 2a)c d cos(x) +--R + +--R 5 2 3 5 2 3 +--R (- 2b d - 2b c d )cos(x) - 2b d - 2a c d +--R * +--R 4 +--R sin(x) +--R + +--R 4 3 2 3 +--R (- 2b c d + 2b c d )cos(x) +--R + +--R 4 3 2 2 4 3 2 +--R (- 2b c d - 2b c d )cos(x) + (2b c d - 2b c d )cos(x) +--R + +--R 4 3 2 +--R 2b c d + 2b c d +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 3 2 2 4 3 2 +--R - 2b c d cos(x) + (2b + 2a)c d cos(x) - 2b c d - 2a c d +--R * +--R 3 +--R sin(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 2b c d + 2b c d)cos(x) - 2b c d cos(x) +--R + +--R 2 3 4 2 3 +--R (2b c d - 2b c d)cos(x) + 2b c d +--R * +--R 2 +--R cot(x) +--R + +--R 2 3 4 2 3 4 3 +--R (4b + 2a)c d cos(x) + ((- 4b + 2a)c d - 2a c d)cos(x) +--R + +--R 2 3 2 2 3 4 +--R (- 4b - 2a)c d cos(x) + ((4b - 2a)c d + 2a c d)cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 4 3 2 5 3 2 4 +--R (2b c d - 2b c d )cos(x) + 4b c d cos(x) +--R + +--R 4 3 2 3 3 2 2 4 +--R (- 4b c d + 2b c d )cos(x) - 4b c d cos(x) + 2b c d cos(x) +--R * +--R sin(x) +--R + +--R 2 3 4 5 2 3 4 +--R (2b c d - 2b c d)cos(x) + 2b c d cos(x) +--R + +--R 2 3 4 3 2 3 2 +--R (- 2b c d + 2b c d)cos(x) - 2b c d cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 3 5 +--R - b c d cos(x)sin(x) +--R + +--R 3 2 2 3 2 2 4 3 2 2 +--R (- b c d cos(x) + b c d )cot(x) + (- b c d + b c d )cos(x) +--R + +--R 4 3 2 +--R (- b c d - b c d )cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 4 3 2 3 4 2 +--R (- b c d + b c d)cos(x) + (- b c d - b c d)cos(x) +--R + +--R 2 3 4 2 3 4 +--R (b c d - b c d)cos(x) + b c d + b c d +--R * +--R 2 +--R cot(x) +--R + +--R 5 2 3 4 3 +--R (- b d - a c d + a c d)cos(x) +--R + +--R 5 2 3 4 2 +--R (- b d + (- b - a)c d + b c d)cos(x) +--R + +--R 5 2 3 4 5 2 3 +--R (b d + (- b + a)c d - a c d)cos(x) + b d + a c d +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 5 3 3 2 2 +--R (- b c d + b c )cos(x) - b c d cos(x) +--R + +--R 3 2 5 3 2 +--R (b c d - b c )cos(x) + b c d +--R * +--R 2 +--R cot(x) +--R + +--R 3 2 4 4 3 2 3 +--R (2b + a)c d cos(x) + (- b c d - b c d )cos(x) +--R + +--R 4 3 2 2 4 3 2 +--R (- b c d + (- 2b - 2a)c d )cos(x) + (b c d + b c d )cos(x) +--R + +--R 4 3 2 +--R b c d + a c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 3 4 5 4 4 +--R (b c d - b c d)cos(x) + 2b c d cos(x) +--R + +--R 2 3 4 3 4 2 2 3 +--R (- 2b c d + b c d)cos(x) - 2b c d cos(x) + b c d cos(x) +--R * +--R sin(x) +--R + +--R 3 2 5 5 3 2 4 3 2 5 3 +--R (b c d - b c )cos(x) + b c d cos(x) + (- b c d + b c )cos(x) +--R + +--R 3 2 2 +--R - b c d cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|d - c +--R + +--R 2 4 4 2 5 +--R (b c d - b c d )cos(x)sin(x) +--R + +--R 3 3 5 2 3 3 5 2 +--R ((b c d - b c d)cos(x) - b c d + b c d)cot(x) +--R + +--R 5 3 3 2 5 5 +--R (b c d - b c d )cos(x) + (b c d - b c d)cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 2 4 4 2 3 2 4 6 2 +--R (b c d - b c d )cos(x) + (b c d - b c )cos(x) +--R + +--R 2 4 4 2 2 4 6 +--R (- b c d + b c d )cos(x) - b c d + b c +--R * +--R 2 +--R cot(x) +--R + +--R 6 2 4 4 2 3 +--R (b d + a c d + (- b - a)c d )cos(x) +--R + +--R 6 2 4 4 2 2 +--R (b d + a c d + (- b - a)c d )cos(x) +--R + +--R 6 2 4 4 2 6 2 4 4 2 +--R (- b d + (b - a)c d + a c d )cos(x) - b d + (b - a)c d + a c d +--R * +--R 3 +--R sin(x) +--R + +--R 3 3 5 3 3 3 5 2 +--R (b c d - b c d)cos(x) + (b c d - b c d)cos(x) +--R + +--R 3 3 5 3 3 5 +--R (- b c d + b c d)cos(x) - b c d + b c d +--R * +--R 2 +--R cot(x) +--R + +--R 3 3 5 4 5 5 3 +--R ((- b - a)c d + (b + a)c d)cos(x) + (b c d - b c d)cos(x) +--R + +--R 5 3 3 5 2 +--R (b c d + 2a c d + (- b - 2a)c d)cos(x) +--R + +--R 5 5 5 3 3 5 +--R (- b c d + b c d)cos(x) - b c d + (b - a)c d + a c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 4 4 2 5 4 2 6 4 +--R (- b c d + b c d )cos(x) + (- b c d + b c )cos(x) +--R + +--R 2 4 4 2 3 4 2 6 2 +--R (2b c d - 2b c d )cos(x) + (b c d - b c )cos(x) +--R + +--R 2 4 4 2 +--R (- b c d + b c d )cos(x) +--R * +--R sin(x) +--R + +--R 3 3 5 5 3 3 5 4 +--R (- b c d + b c d)cos(x) + (- b c d + b c d)cos(x) +--R + +--R 3 3 5 3 3 3 5 2 +--R (b c d - b c d)cos(x) + (b c d - b c d)cos(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 5 3 3 5 +--R (2b c d - 2b c d )cos(x)sin(x) +--R + +--R 2 4 4 2 2 2 4 4 2 2 +--R ((2b c d - 2b c d )cos(x) - 2b c d + 2b c d )cot(x) +--R + +--R 2 4 4 2 2 6 4 2 6 +--R (- 2a c d + 2a c d )cos(x) + (2b d - 2b c d )cos(x) + 2b d +--R + +--R 2 4 4 2 +--R (- 2b + 2a)c d - 2a c d +--R * +--R 4 +--R sin(x) +--R + +--R 5 3 3 3 5 5 2 +--R (2b c d - 2b c d )cos(x) + (2b c d - 2b c d)cos(x) +--R + +--R 5 3 3 5 5 +--R (- 2b c d + 2b c d )cos(x) - 2b c d + 2b c d +--R * +--R 2 +--R cot(x) +--R + +--R 5 3 3 3 3 3 5 2 +--R (2b c d - 2b c d )cos(x) + (- 2a c d + 2a c d)cos(x) +--R + +--R 5 3 3 5 +--R 2b c d + (- 2b + 2a)c d - 2a c d +--R * +--R 3 +--R sin(x) +--R + +--R 2 4 4 2 3 2 4 4 2 2 +--R (2b c d - 2b c d )cos(x) + (2b c d - 2b c d )cos(x) +--R + +--R 2 4 4 2 2 4 4 2 +--R (- 2b c d + 2b c d )cos(x) - 2b c d + 2b c d +--R * +--R 2 +--R cot(x) +--R + +--R 2 4 4 2 4 +--R ((- 2b - 2a)c d + (2b + 2a)c d )cos(x) +--R + +--R 2 4 4 2 3 +--R ((2b - 2a)c d + (- 2b + 2a)c d )cos(x) +--R + +--R 2 4 4 2 2 +--R ((2b + 2a)c d + (- 2b - 2a)c d )cos(x) +--R + +--R 2 4 4 2 +--R ((- 2b + 2a)c d + (2b - 2a)c d )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 5 3 3 5 3 3 5 4 +--R (- 2b c d + 2b c d )cos(x) + (- 2b c d + 2b c d)cos(x) +--R + +--R 5 3 3 3 3 3 5 2 +--R (4b c d - 4b c d )cos(x) + (2b c d - 2b c d)cos(x) +--R + +--R 5 3 3 +--R (- 2b c d + 2b c d )cos(x) +--R * +--R sin(x) +--R + +--R 2 4 4 2 5 2 4 4 2 4 +--R (- 2b c d + 2b c d )cos(x) + (- 2b c d + 2b c d )cos(x) +--R + +--R 2 4 4 2 3 2 4 4 2 2 +--R (2b c d - 2b c d )cos(x) + (2b c d - 2b c d )cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 4 4 2 5 +--R (b c d - b c d )cos(x)sin(x) +--R + +--R 3 3 5 2 3 3 5 2 +--R ((b c d - b c d)cos(x) - b c d + b c d)cot(x) +--R + +--R 5 3 3 2 5 5 +--R (b c d - b c d )cos(x) + (b c d - b c d)cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 2 4 4 2 3 2 4 6 2 +--R (b c d - b c d )cos(x) + (b c d - b c )cos(x) +--R + +--R 2 4 4 2 2 4 6 +--R (- b c d + b c d )cos(x) - b c d + b c +--R * +--R 2 +--R cot(x) +--R + +--R 6 2 4 4 2 3 +--R (b d + a c d + (- b - a)c d )cos(x) +--R + +--R 6 2 4 4 2 2 +--R (b d + a c d + (- b - a)c d )cos(x) +--R + +--R 6 2 4 4 2 6 2 4 4 2 +--R (- b d + (b - a)c d + a c d )cos(x) - b d + (b - a)c d + a c d +--R * +--R 3 +--R sin(x) +--R + +--R 3 3 5 3 3 3 5 2 +--R (b c d - b c d)cos(x) + (b c d - b c d)cos(x) +--R + +--R 3 3 5 3 3 5 +--R (- b c d + b c d)cos(x) - b c d + b c d +--R * +--R 2 +--R cot(x) +--R + +--R 3 3 5 4 5 5 3 +--R ((- b - a)c d + (b + a)c d)cos(x) + (b c d - b c d)cos(x) +--R + +--R 5 3 3 5 2 5 5 +--R (b c d + 2a c d + (- b - 2a)c d)cos(x) + (- b c d + b c d)cos(x) +--R + +--R 5 3 3 5 +--R - b c d + (b - a)c d + a c d +--R * +--R 2 +--R sin(x) +--R + +--R 2 4 4 2 5 4 2 6 4 +--R (- b c d + b c d )cos(x) + (- b c d + b c )cos(x) +--R + +--R 2 4 4 2 3 4 2 6 2 +--R (2b c d - 2b c d )cos(x) + (b c d - b c )cos(x) +--R + +--R 2 4 4 2 +--R (- b c d + b c d )cos(x) +--R * +--R sin(x) +--R + +--R 3 3 5 5 3 3 5 4 +--R (- b c d + b c d)cos(x) + (- b c d + b c d)cos(x) +--R + +--R 3 3 5 3 3 3 5 2 +--R (b c d - b c d)cos(x) + (b c d - b c d)cos(x) +--R / +--R 4 2 2 4 2 4 +--R (c d cos(x) - c d )sin(x) +--R + +--R 3 3 5 3 3 3 5 2 +--R (c d - c d)cos(x) + (c d + c d)cos(x) +--R + +--R 3 3 5 3 3 5 +--R (- c d + c d)cos(x) - c d - c d +--R * +--R 3 +--R sin(x) +--R + +--R 4 2 6 3 4 2 2 4 2 6 4 2 +--R ((c d - c )cos(x) + c d cos(x) + (- c d + c )cos(x) - c d ) +--R * +--R 2 +--R sin(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 3 2 3 3 4 +--R (2c d cos(x) - 2c d )sin(x) +--R + +--R 2 4 4 2 3 2 4 4 2 2 +--R (2c d - 2c d )cos(x) + (2c d + 2c d )cos(x) +--R + +--R 2 4 4 2 2 4 4 2 +--R (- 2c d + 2c d )cos(x) - 2c d - 2c d +--R * +--R 3 +--R sin(x) +--R + +--R 3 3 5 3 3 3 2 3 3 5 +--R (2c d - 2c d)cos(x) + 2c d cos(x) + (- 2c d + 2c d)cos(x) +--R + +--R 3 3 +--R - 2c d +--R * +--R 2 +--R sin(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 4 2 2 4 2 4 +--R (c d cos(x) - c d )sin(x) +--R + +--R 3 3 5 3 3 3 5 2 3 3 5 +--R (c d - c d)cos(x) + (c d + c d)cos(x) + (- c d + c d)cos(x) +--R + +--R 3 3 5 +--R - c d - c d +--R * +--R 3 +--R sin(x) +--R + +--R 4 2 6 3 4 2 2 4 2 6 4 2 2 +--R ((c d - c )cos(x) + c d cos(x) + (- c d + c )cos(x) - c d )sin(x) +--R * +--R +-------+ +--R | 2 2 +--R \|d - c +--R + +--R 4 3 6 2 4 3 6 4 +--R ((- c d + c d)cos(x) + c d - c d)sin(x) +--R + +--R 3 4 5 2 3 3 4 7 2 +--R (- c d + c d )cos(x) + (- c d + c )cos(x) +--R + +--R 3 4 5 2 3 4 7 +--R (c d - c d )cos(x) + c d - c +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 6 3 4 3 6 2 +--R (- c d + c d)cos(x) + (- c d + c d)cos(x) +--R + +--R 4 3 6 4 3 6 +--R (c d - c d)cos(x) + c d - c d +--R * +--R 2 +--R sin(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 4 5 2 2 3 4 5 2 4 +--R ((- 2c d + 2c d )cos(x) + 2c d - 2c d )sin(x) +--R + +--R 2 5 4 3 3 2 5 6 2 +--R (- 2c d + 2c d )cos(x) + (- 2c d + 2c d)cos(x) +--R + +--R 2 5 4 3 2 5 6 +--R (2c d - 2c d )cos(x) + 2c d - 2c d +--R * +--R 3 +--R sin(x) +--R + +--R 3 4 5 2 3 3 4 5 2 2 +--R (- 2c d + 2c d )cos(x) + (- 2c d + 2c d )cos(x) +--R + +--R 3 4 5 2 3 4 5 2 +--R (2c d - 2c d )cos(x) + 2c d - 2c d +--R * +--R 2 +--R sin(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 4 3 6 2 4 3 6 4 +--R ((- c d + c d)cos(x) + c d - c d)sin(x) +--R + +--R 3 4 5 2 3 3 4 7 2 3 4 5 2 +--R (- c d + c d )cos(x) + (- c d + c )cos(x) + (c d - c d )cos(x) +--R + +--R 3 4 7 +--R c d - c +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 6 3 4 3 6 2 4 3 6 +--R (- c d + c d)cos(x) + (- c d + c d)cos(x) + (c d - c d)cos(x) +--R + +--R 4 3 6 +--R c d - c d +--R * +--R 2 +--R sin(x) +--R Type: Expression Integer +--E 31 + +--S 32 of 532 +m0704b:= a0704.2-r0704 +--R +--R +--R (32) +--R +---------+ +--R | 2 2 sin(x) +--R - b d sin(x)\|- d + c log(----------) +--R cos(x) + 1 +--R + +--R +---------+ +--R | 2 2 +--R - b d sin(x)\|- d + c atanh(cos(x)) +--R + +--R +---------+ +--R | 2 2 +--R 2 2 (c sin(x) + d cos(x) + d)\|- d + c +--R (- 2b d - 2a c )sin(x)atan(-------------------------------------) +--R 2 2 2 2 +--R (d - c )cos(x) + d - c +--R + +--R x +--R c tan(-) + d +--R 2 2 2 +--R (- 2b d - 2a c )sin(x)atan(------------) +--R +---------+ +--R | 2 2 +--R \|- d + c +--R + +--R +---------+ +--R | 2 2 +--R (b c cot(x)sin(x) - b c cos(x))\|- d + c +--R / +--R +---------+ +--R 2 | 2 2 +--R c sin(x)\|- d + c +--R Type: Expression Integer +--E 32 + +--S 33 of 532 +d0704b:= D(m0704b,x) +--R +--R +--R (33) +--R 2 5 +--R - b c d cos(x)sin(x) +--R + +--R 3 2 3 2 2 3 2 +--R (- b c cos(x) + b c )cot(x) + (- b c d + a c )cos(x) +--R + +--R 2 2 3 +--R - 2b c d cos(x) - b c d - a c +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 2 2 2 2 +--R (- 2b c d cos(x) - 2b c d cos(x) + 2b c d cos(x) + 2b c d) +--R * +--R 2 +--R cot(x) +--R + +--R 3 2 3 +--R (- 2b d + (- 2b - 2a)c d)cos(x) +--R + +--R 3 2 2 3 2 +--R (- 2b d + (- 2b - 2a)c d)cos(x) + (2b d + 2a c d)cos(x) +--R + +--R 3 2 +--R 2b d + 2a c d +--R * +--R 3 +--R sin(x) +--R + +--R 3 4 3 3 3 3 2 +--R (- b c cos(x) - 2b c cos(x) + 2b c cos(x) + b c )cot(x) +--R + +--R 2 3 4 2 3 +--R (- b c d + (b + a)c )cos(x) - 2b c d cos(x) +--R + +--R 3 2 2 2 3 +--R (- b - 2a)c cos(x) + 2b c d cos(x) + b c d + a c +--R * +--R 2 +--R sin(x) +--R + +--R 2 5 2 3 2 3 6 +--R (b c d cos(x) - 2b c d cos(x) + b c d cos(x))sin(x) + b c cos(x) +--R + +--R 3 5 3 3 3 2 +--R 2b c cos(x) - 2b c cos(x) - b c cos(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 5 +--R - 2b c d cos(x)sin(x) +--R + +--R 2 2 2 2 2 2 3 +--R (- 2b c d cos(x) + 2b c d)cot(x) + 4a c d cos(x) - 4b d cos(x) +--R + +--R 3 2 +--R - 4b d - 4a c d +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 2 2 2 2 +--R (- 4b c d cos(x) - 4b c d cos(x) + 4b c d cos(x) + 4b c d ) +--R * +--R 2 +--R cot(x) +--R + +--R 2 3 2 2 +--R - 4b c d cos(x) - 4b c d cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 2 4 2 3 2 2 +--R (- 2b c d cos(x) - 4b c d cos(x) + 4b c d cos(x) + 2b c d) +--R * +--R 2 +--R cot(x) +--R + +--R 2 4 2 3 2 2 +--R (2b + 4a)c d cos(x) + 4a c d cos(x) + (- 2b - 4a)c d cos(x) +--R + +--R 2 +--R - 4a c d cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 5 2 3 2 +--R (2b c d cos(x) - 4b c d cos(x) + 2b c d cos(x))sin(x) +--R + +--R 2 6 2 5 2 3 2 2 +--R 2b c d cos(x) + 4b c d cos(x) - 4b c d cos(x) - 2b c d cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 5 +--R - b c d cos(x)sin(x) +--R + +--R 3 2 3 2 2 3 2 +--R (- b c cos(x) + b c )cot(x) + (- b c d + a c )cos(x) +--R + +--R 2 2 3 +--R - 2b c d cos(x) - b c d - a c +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 2 2 2 2 2 +--R (- 2b c d cos(x) - 2b c d cos(x) + 2b c d cos(x) + 2b c d)cot(x) +--R + +--R 3 2 3 3 2 2 +--R (- 2b d + (- 2b - 2a)c d)cos(x) + (- 2b d + (- 2b - 2a)c d)cos(x) +--R + +--R 3 2 3 2 +--R (2b d + 2a c d)cos(x) + 2b d + 2a c d +--R * +--R 3 +--R sin(x) +--R + +--R 3 4 3 3 3 3 2 +--R (- b c cos(x) - 2b c cos(x) + 2b c cos(x) + b c )cot(x) +--R + +--R 2 3 4 2 3 3 2 +--R (- b c d + (b + a)c )cos(x) - 2b c d cos(x) + (- b - 2a)c cos(x) +--R + +--R 2 2 3 +--R 2b c d cos(x) + b c d + a c +--R * +--R 2 +--R sin(x) +--R + +--R 2 5 2 3 2 3 6 +--R (b c d cos(x) - 2b c d cos(x) + b c d cos(x))sin(x) + b c cos(x) +--R + +--R 3 5 3 3 3 2 +--R 2b c cos(x) - 2b c cos(x) - b c cos(x) +--R / +--R 4 2 4 4 +--R (c cos(x) - c )sin(x) +--R + +--R 3 3 3 2 3 3 3 +--R (2c d cos(x) + 2c d cos(x) - 2c d cos(x) - 2c d)sin(x) +--R + +--R 4 4 4 3 4 4 2 +--R (c cos(x) + 2c cos(x) - 2c cos(x) - c )sin(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 3 4 +--R (2c d cos(x) - 2c d)sin(x) +--R + +--R 2 2 3 2 2 2 2 2 2 2 3 +--R (4c d cos(x) + 4c d cos(x) - 4c d cos(x) - 4c d )sin(x) +--R + +--R 3 4 3 3 3 3 2 +--R (2c d cos(x) + 4c d cos(x) - 4c d cos(x) - 2c d)sin(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 4 2 4 4 +--R (c cos(x) - c )sin(x) +--R + +--R 3 3 3 2 3 3 3 +--R (2c d cos(x) + 2c d cos(x) - 2c d cos(x) - 2c d)sin(x) +--R + +--R 4 4 4 3 4 4 2 +--R (c cos(x) + 2c cos(x) - 2c cos(x) - c )sin(x) +--R Type: Expression Integer +--E 33 + +--S 34 of 532 +t0705:= (tan(x)*sin(x))^(1/2) +--R +--R +--R +------------+ +--R (34) \|sin(x)tan(x) +--R Type: Expression Integer +--E 34 + +--S 35 of 532 +r0705:= -2*cot(x)*(tan(x)*sin(x))^(1/2) +--R +--R +--R +------------+ +--R (35) - 2cot(x)\|sin(x)tan(x) +--R Type: Expression Integer +--E 35 + +--S 36 of 532 +a0705:= integrate(t0705,x) +--R +--R +--R +-------------------------------------------+ +--R | 2 +--R | 16cos(x) +--R (36) (- cos(x) - 1) |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 36 + +--S 37 of 532 +m0705:= a0705-r0705 +--R +--R +--R (37) +--R +------------+ +--R 2cot(x)\|sin(x)tan(x) +--R + +--R +-------------------------------------------+ +--R | 2 +--R | 16cos(x) +--R (- cos(x) - 1) |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R Type: Expression Integer +--E 37 + +--S 38 of 532 +d0705:= D(m0705,x) +--R +--R +--R (38) +--R +------------+ +--R 8cos(x)sin(x)\|sin(x)tan(x) +--R + +--R 3 2 2 +--R (cos(x) + 3cos(x) + 3cos(x) + 1)cot(x)sin(x)tan(x) +--R + +--R 3 2 2 3 +--R (- 2cos(x) - 6cos(x) - 6cos(x) - 2)cot(x) - 2cos(x) +--R + +--R 2 +--R - 6cos(x) - 6cos(x) - 2 +--R * +--R sin(x) +--R + +--R 4 3 2 +--R (cos(x) + 3cos(x) + 3cos(x) + cos(x))cot(x) +--R * +--R tan(x) +--R + +--R 3 2 +--R (cos(x) + 3cos(x) + 3cos(x) + 1)cot(x)sin(x) +--R * +--R +-------------------------------------------+3 +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R 3 2 +--R (cos(x) + 3cos(x) + 3cos(x) + 1) +--R * +--R +-------------------------------------------+3 +--R | 2 +--R | 16cos(x) +------------+ +--R |------------------------------------------- \|sin(x)tan(x) +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R Type: Expression Integer +--E 38 + +--S 39 of 532 +t0706:= (tan(x)*sin(x))^(3/2) +--R +--R +--R +------------+ +--R (39) sin(x)tan(x)\|sin(x)tan(x) +--R Type: Expression Integer +--E 39 + +--S 40 of 532 +r0706:= 2/3*csc(x)*(4-sin(x)^2)*(tan(x)*sin(x))^(1/2) +--R +--R +--R 2 +------------+ +--R (- 2csc(x)sin(x) + 8csc(x))\|sin(x)tan(x) +--R (40) ------------------------------------------- +--R 3 +--R Type: Expression Integer +--E 40 + +--S 41 of 532 +a0706:= integrate(t0706,x) +--R +--R +--R (41) +--R 3 2 +--R (cos(x) + cos(x) + 3cos(x) + 3) +--R * +--R +-------------------------------------------+ +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R 3cos(x) +--R Type: Union(Expression Integer,...) +--E 41 + +--S 42 of 532 +m0706:= a0706-r0706 +--R +--R +--R (42) +--R 2 +------------+ +--R (2cos(x)csc(x)sin(x) - 8cos(x)csc(x))\|sin(x)tan(x) +--R + +--R 3 2 +--R (cos(x) + cos(x) + 3cos(x) + 3) +--R * +--R +-------------------------------------------+ +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R 3cos(x) +--R Type: Expression Integer +--E 42 + +--S 43 of 532 +d0706:= D(m0706,x) +--R +--R +--R (43) +--R +------------+ +--R (- 24cos(x) + 24)sin(x)\|sin(x)tan(x) +--R + +--R 2 3 +--R (cos(x) + 2cos(x) + 1)csc(x)sin(x) +--R + +--R 2 +--R (- 4cos(x) - 8cos(x) - 4)csc(x)sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 2 3 +--R (- 2cos(x) - 4cos(x) - 2)cot(x)csc(x)sin(x) +--R + +--R 3 2 2 +--R (5cos(x) + 10cos(x) + 5cos(x))csc(x)sin(x) +--R + +--R 2 +--R (8cos(x) + 16cos(x) + 8)cot(x)csc(x)sin(x) +--R + +--R 3 2 +--R (- 4cos(x) - 8cos(x) - 4cos(x))csc(x) +--R * +--R tan(x) +--R + +--R 2 3 +--R (cos(x) + 2cos(x) + 1)csc(x)sin(x) +--R + +--R 2 +--R (- 4cos(x) - 8cos(x) - 4)csc(x)sin(x) +--R * +--R +-------------------------------------------+3 +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R +-------------------------------------------+3 +--R | 2 +--R 2 | 16cos(x) +--R (3cos(x) + 6cos(x) + 3) |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R * +--R +------------+ +--R \|sin(x)tan(x) +--R Type: Expression Integer +--E 43 + +--S 44 of 532 +t0707:= (tan(x)*sin(x))^(5/2) +--R +--R +--R 2 2 +------------+ +--R (44) sin(x) tan(x) \|sin(x)tan(x) +--R Type: Expression Integer +--E 44 + +--S 45 of 532 +r0707:= 2/15*cot(x)*(tan(x)*sin(x))^(1/2)*(32+(8-3*sin(x)^2)*tan(x)^2) +--R +--R +--R 2 2 +------------+ +--R ((- 6cot(x)sin(x) + 16cot(x))tan(x) + 64cot(x))\|sin(x)tan(x) +--R (45) ---------------------------------------------------------------- +--R 15 +--R Type: Expression Integer +--E 45 + +--S 46 of 532 +a0707:= integrate(t0707,x) +--R +--R +--R (46) +--R 5 4 3 2 +--R (- 3cos(x) - 3cos(x) + 30cos(x) + 30cos(x) + 5cos(x) + 5) +--R * +--R +-------------------------------------------+ +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R 2 +--R 15cos(x) +--R Type: Union(Expression Integer,...) +--E 46 + +--S 47 of 532 +m0707:= a0707-r0707 +--R +--R +--R (47) +--R 2 2 2 2 2 +--R ((6cos(x) cot(x)sin(x) - 16cos(x) cot(x))tan(x) - 64cos(x) cot(x)) +--R * +--R +------------+ +--R \|sin(x)tan(x) +--R + +--R 5 4 3 2 +--R (- 3cos(x) - 3cos(x) + 30cos(x) + 30cos(x) + 5cos(x) + 5) +--R * +--R +-------------------------------------------+ +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R 2 +--R 15cos(x) +--R Type: Expression Integer +--E 47 + +--S 48 of 532 +d0707:= D(m0707,x) +--R +--R +--R (48) +--R 2 +------------+ +--R (120cos(x) - 240cos(x) + 120)sin(x)\|sin(x)tan(x) +--R + +--R 2 3 +--R (15cos(x) + 15cos(x))cot(x)sin(x) +--R + +--R 2 +--R (- 40cos(x) - 40cos(x))cot(x)sin(x) +--R * +--R 4 +--R tan(x) +--R + +--R 2 2 2 3 +--R ((- 6cos(x) - 6cos(x))cot(x) - 6cos(x) - 6cos(x))sin(x) +--R + +--R 3 2 2 +--R (15cos(x) + 15cos(x) )cot(x)sin(x) +--R + +--R 2 2 2 +--R ((16cos(x) + 16cos(x))cot(x) + 16cos(x) + 16cos(x))sin(x) +--R + +--R 3 2 +--R (- 8cos(x) - 8cos(x) )cot(x) +--R * +--R 3 +--R tan(x) +--R + +--R 2 3 +--R (15cos(x) + 15cos(x))cot(x)sin(x) +--R + +--R 2 +--R (- 72cos(x) - 72cos(x))cot(x)sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 2 2 2 +--R ((64cos(x) + 64cos(x))cot(x) + 64cos(x) + 64cos(x))sin(x) +--R + +--R 3 2 +--R (- 32cos(x) - 32cos(x) )cot(x) +--R * +--R tan(x) +--R + +--R 2 +--R (- 32cos(x) - 32cos(x))cot(x)sin(x) +--R * +--R +-------------------------------------------+3 +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R +-------------------------------------------+3 +--R | 2 +--R 2 | 16cos(x) +--R (15cos(x) + 15cos(x)) |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R * +--R +------------+ +--R \|sin(x)tan(x) +--R Type: Expression Integer +--E 48 + +--S 49 of 532 +t0708:= (a+b*sin(x)*cos(x))^(1/2) +--R +--R +--R +------------------+ +--R (49) \|b cos(x)sin(x) + a +--R Type: Expression Integer +--E 49 + +--S 50 of 532 +r0708:= 1/2*EllipticE(-1/4*%pi+x,2*b/(2*a+b))*(2*a+b*sin(2*x))^(1/2)*2^(1/2)/((2*a+b*sin(2*x))/(2*a+b))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 50 + +--S 51 of 532 +a0708:= integrate(t0708,x) +--R +--R +--R x +--R ++ +--------------------+ +--R (50) | \|b cos(%P)sin(%P) + a d%P +--R ++ +--R Type: Union(Expression Integer,...) +--E 51 + +--S 52 of 532 +m0708:= a0708-r0708 +--R +--R +--R x +--R ++ +--------------------+ +--R (51) | \|b cos(%P)sin(%P) + a d%P - r0708 +--R ++ +--R Type: Expression Integer +--E 52 + +--S 53 of 532 +d0708:= D(m0708,x) +--R +--R +--R +------------------+ +--R (52) \|b cos(x)sin(x) + a +--R Type: Expression Integer +--E 53 + +--S 54 of 532 +t0709:= 1/(a+b*sin(x)*cos(x))^(1/2) +--R +--R +--R 1 +--R (53) --------------------- +--R +------------------+ +--R \|b cos(x)sin(x) + a +--R Type: Expression Integer +--E 54 + +--S 55 of 532 +r0709:= 2^(1/2)*EllipticF(-1/4*%pi+x,2*b/(2*a+b))*((2*a+b*sin(2*x))/(2*a+b))^(1/2)/(2*a+b*sin(2*x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 55 + +--S 56 of 532 +a0709:= integrate(t0709,x) +--R +--R +--R x +--R ++ 1 +--R (54) | ----------------------- d%P +--R ++ +--------------------+ +--R \|b cos(%P)sin(%P) + a +--R Type: Union(Expression Integer,...) +--E 56 + +--S 57 of 532 +m0709:= a0709-r0709 +--R +--R +--R x +--R ++ 1 +--R (55) | ----------------------- d%P - r0709 +--R ++ +--------------------+ +--R \|b cos(%P)sin(%P) + a +--R Type: Expression Integer +--E 57 + +--S 58 of 532 +d0709:= D(m0709,x) +--R +--R +--R 1 +--R (56) --------------------- +--R +------------------+ +--R \|b cos(x)sin(x) + a +--R Type: Expression Integer +--E 58 + +--S 59 of 532 +t0710:= (a*cos(x)+b*sin(x))^4 +--R +--R +--R (57) +--R 4 4 3 3 2 2 2 2 3 3 +--R b sin(x) + 4a b cos(x)sin(x) + 6a b cos(x) sin(x) + 4a b cos(x) sin(x) +--R + +--R 4 4 +--R a cos(x) +--R Type: Expression Integer +--E 59 + +--S 60 of 532 +r0710:= 3/8*(a^2+b^2)^2*x-3/8*(a^2+b^2)*(b*cos(x)-a*sin(x))*(a*cos(x)+b*sin(x))-1/4*(b*cos(x)-a*sin(x))*(a*cos(x)+b*sin(x))^3 +--R +--R +--R (58) +--R 3 4 4 2 2 3 +--R 2a b sin(x) + (- 2b + 6a b )cos(x)sin(x) +--R + +--R 3 3 2 3 3 2 +--R ((- 6a b + 6a b)cos(x) + 3a b + 3a b)sin(x) +--R + +--R 2 2 4 3 4 4 3 4 +--R ((- 6a b + 2a )cos(x) + (- 3b + 3a )cos(x))sin(x) - 2a b cos(x) +--R + +--R 3 3 2 4 2 2 4 +--R (- 3a b - 3a b)cos(x) + (3b + 6a b + 3a )x +--R / +--R 8 +--R Type: Expression Integer +--E 60 + +--S 61 of 532 +a0710:= integrate(t0710,x) +--R +--R +--R (59) +--R 4 2 2 4 3 4 2 2 4 +--R ((2b - 12a b + 2a )cos(x) + (- 5b + 6a b + 3a )cos(x))sin(x) +--R + +--R 3 3 4 3 2 4 2 2 4 +--R (8a b - 8a b)cos(x) - 16a b cos(x) + (3b + 6a b + 3a )x +--R / +--R 8 +--R Type: Union(Expression Integer,...) +--E 61 + +--S 62 of 532 +m0710:= a0710-r0710 +--R +--R +--R (60) +--R 3 4 4 2 2 3 +--R - 2a b sin(x) + (2b - 6a b )cos(x)sin(x) +--R + +--R 3 3 2 3 3 2 +--R ((6a b - 6a b)cos(x) - 3a b - 3a b)sin(x) +--R + +--R 4 2 2 3 4 2 2 +--R ((2b - 6a b )cos(x) + (- 2b + 6a b )cos(x))sin(x) +--R + +--R 3 3 4 3 3 2 +--R (8a b - 6a b)cos(x) + (- 13a b + 3a b)cos(x) +--R / +--R 8 +--R Type: Expression Integer +--E 62 + +--S 63 of 532 +d0710:= D(m0710,x) +--R +--R +--R (61) +--R 4 2 2 4 3 3 3 +--R (- b + 3a b )sin(x) + (- 10a b + 6a b)cos(x)sin(x) +--R + +--R 4 2 2 2 +--R (b - 3a b )sin(x) +--R + +--R 3 3 3 3 3 +--R ((- 10a b + 6a b)cos(x) + (10a b - 6a b)cos(x))sin(x) +--R + +--R 4 2 2 4 4 2 2 2 +--R (b - 3a b )cos(x) + (- b + 3a b )cos(x) +--R / +--R 4 +--R Type: Expression Integer +--E 63 + +--S 64 of 532 +t0711:= 1/(a*cos(x)+b*sin(x))^3 +--R +--R +--R 1 +--R (62) --------------------------------------------------------------- +--R 3 3 2 2 2 2 3 3 +--R b sin(x) + 3a b cos(x)sin(x) + 3a b cos(x) sin(x) + a cos(x) +--R Type: Expression Integer +--E 64 + +--S 65 of 532 +r0711:= -1/2*atanh((b*cos(x)-a*sin(x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(3/2)-1/2*(b*cos(x)-a*sin(x))/(a^2+b^2)/(a*cos(x)+b*sin(x))^2 +--R +--R +--R (63) +--R 2 2 2 2 a sin(x) - b cos(x) +--R (b sin(x) + 2a b cos(x)sin(x) + a cos(x) )atanh(-------------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R +-------+ +--R | 2 2 +--R (a sin(x) - b cos(x))\|b + a +--R / +--R 4 2 2 2 3 3 +--R (2b + 2a b )sin(x) + (4a b + 4a b)cos(x)sin(x) +--R + +--R 2 2 4 2 +--R (2a b + 2a )cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 65 + +--S 66 of 532 +a0711:= integrate(t0711,x) +--R +--R +--R (64) +--R 3 2 2 4 2 2 2 +--R (2a b cos(x)sin(x) + (- a b + a )cos(x) + a b ) +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(x) - b cos(x) - b - a )\|b + a +--R + +--R 2 3 3 2 3 2 +--R (- a b - a )sin(x) + (b + a b)cos(x) + b + a b +--R / +--R b sin(x) + a cos(x) +--R + +--R 2 3 3 2 2 2 3 +--R ((- 2a b cos(x) + a )sin(x) + (b - a b)cos(x) - a b cos(x) - b ) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 3 3 5 2 4 6 2 2 4 4 2 +--R ((4a b + 4a b)cos(x)sin(x) + (- 2a b + 2a )cos(x) + 2a b + 2a b ) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 66 + +--S 67 of 532 +m0711:= a0711-r0711 +--R +--R +--R (65) +--R 3 3 3 2 4 4 2 2 2 4 2 +--R 2a b cos(x)sin(x) + ((- a b + 5a b )cos(x) + a b )sin(x) +--R + +--R 3 3 5 3 3 3 4 2 6 4 +--R ((- 2a b + 4a b)cos(x) + 2a b cos(x))sin(x) + (- a b + a )cos(x) +--R + +--R 4 2 2 +--R a b cos(x) +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(x) - b cos(x) - b - a )\|b + a +--R + +--R 2 3 3 2 3 2 +--R (- a b - a )sin(x) + (b + a b)cos(x) + b + a b +--R / +--R b sin(x) + a cos(x) +--R + +--R 3 3 3 2 4 4 2 2 2 4 2 +--R - 2a b cos(x)sin(x) + ((a b - 5a b )cos(x) - a b )sin(x) +--R + +--R 3 3 5 3 3 3 4 2 6 4 +--R ((2a b - 4a b)cos(x) - 2a b cos(x))sin(x) + (a b - a )cos(x) +--R + +--R 4 2 2 +--R - a b cos(x) +--R * +--R a sin(x) - b cos(x) +--R atanh(-------------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 4 3 2 3 +--R (- 2a b cos(x) + a b )sin(x) +--R + +--R 5 2 3 2 2 3 5 2 +--R ((b - 5a b )cos(x) - a b cos(x) - b )sin(x) +--R + +--R 4 3 2 3 3 2 2 4 3 2 +--R ((2a b - 4a b )cos(x) + a b cos(x) - 2a b cos(x) - a b )sin(x) +--R + +--R 2 3 4 4 2 3 3 2 3 2 2 3 +--R (a b - a b)cos(x) - a b cos(x) - a b cos(x) + a b cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 3 5 5 3 3 +--R (4a b + 4a b )cos(x)sin(x) +--R + +--R 2 6 4 4 6 2 2 2 6 4 4 2 +--R ((- 2a b + 8a b + 10a b )cos(x) + 2a b + 2a b )sin(x) +--R + +--R 3 5 5 3 7 3 3 5 5 3 +--R ((- 4a b + 4a b + 8a b)cos(x) + (4a b + 4a b )cos(x))sin(x) +--R + +--R 4 4 8 4 4 4 6 2 2 +--R (- 2a b + 2a )cos(x) + (2a b + 2a b )cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 67 + +--S 68 of 532 +d0711:= D(m0711,x) +--R +--R +--R (66) +--R 3 4 2 7 +--R 4a b cos(x) sin(x) +--R + +--R 2 5 4 3 3 2 5 6 +--R ((- 8a b + 12a b )cos(x) + 4a b cos(x))sin(x) +--R + +--R 6 3 4 5 2 4 6 3 4 2 +--R (5a b - 18a b + 13a b )cos(x) + (- 6a b + 6a b )cos(x) +--R + +--R 6 +--R a b +--R * +--R 5 +--R sin(x) +--R + +--R 7 2 5 4 3 6 5 +--R (- b + 4a b - 9a b + 6a b)cos(x) +--R + +--R 7 2 5 4 3 3 7 2 5 +--R (2b - 2a b - 4a b )cos(x) + (- b - 2a b )cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 6 3 4 5 2 7 6 +--R (3a b - 13a b + 5a b + a )cos(x) +--R + +--R 6 3 4 5 2 4 6 3 4 2 6 +--R (- 7a b + 22a b - 11a b )cos(x) + (5a b - 9a b )cos(x) - a b +--R * +--R 3 +--R sin(x) +--R + +--R 7 2 5 4 3 6 7 +--R (- b + 11a b - 19a b + 5a b)cos(x) +--R + +--R 7 2 5 4 3 6 5 +--R (3b - 24a b + 27a b - 6a b)cos(x) +--R + +--R 7 2 5 4 3 3 7 2 5 +--R (- 3b + 15a b - 8a b )cos(x) + (b - 2a b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 6 3 4 5 2 7 8 +--R (- 2a b + 9a b - 8a b + a )cos(x) +--R + +--R 6 3 4 5 2 7 6 +--R (6a b - 19a b + 10a b - a )cos(x) +--R + +--R 6 3 4 5 2 4 6 3 4 2 +--R (- 6a b + 11a b - 2a b )cos(x) + (2a b - a b )cos(x) +--R * +--R sin(x) +--R + +--R 2 5 4 3 6 9 2 5 4 3 6 7 +--R (- a b + 2a b - a b)cos(x) + (3a b - 4a b + a b)cos(x) +--R + +--R 2 5 4 3 5 2 5 3 +--R (- 3a b + 2a b )cos(x) + a b cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 4 4 8 3 5 5 3 7 +--R 2a b sin(x) + (- 6a b + 8a b )cos(x)sin(x) +--R + +--R 2 6 4 4 6 2 2 2 6 4 4 6 +--R ((7a b - 27a b + 4a b )cos(x) - a b - 2a b )sin(x) +--R + +--R 7 3 5 5 3 3 3 5 5 3 5 +--R ((- 4a b + 38a b - 4a b )cos(x) + (- 6a b - 16a b )cos(x))sin(x) +--R + +--R 8 2 6 4 4 6 2 4 +--R (b - 28a b - 14a b + 5a b )cos(x) +--R + +--R 2 6 4 4 6 2 2 8 2 6 4 4 +--R (12a b + 39a b - 8a b )cos(x) - b - 2a b - 2a b +--R * +--R 4 +--R sin(x) +--R + +--R 7 3 5 5 3 5 +--R (10a b + 34a b - 14a b )cos(x) +--R + +--R 7 3 5 5 3 3 7 3 5 5 3 +--R (- 12a b - 64a b + 8a b )cos(x) + (2a b + 14a b + 8a b )cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 8 2 6 4 4 6 2 6 +--R (- b - 32a b + 16a b + a b )cos(x) +--R + +--R 8 2 6 4 4 6 2 4 +--R (3b + 55a b - 9a b - 6a b )cos(x) +--R + +--R 8 2 6 4 4 6 2 2 8 2 6 4 4 +--R (- 3b - 26a b - 13a b + 4a b )cos(x) + b + 3a b + 2a b +--R * +--R 2 +--R sin(x) +--R + +--R 7 3 5 5 3 7 7 3 5 5 3 5 +--R (14a b - 10a b - 2a b )cos(x) + (- 30a b + 2a b + 6a b )cos(x) +--R + +--R 7 3 5 5 3 3 7 3 5 +--R (18a b + 10a b - 4a b )cos(x) + (- 2a b - 2a b )cos(x) +--R * +--R sin(x) +--R + +--R 8 2 6 4 4 8 8 2 6 4 4 6 2 6 +--R (- 2b + 3a b + a b )cos(x) + (6b - 3a b - 5a b - a b )cos(x) +--R + +--R 8 2 6 4 4 6 2 4 8 2 6 4 4 2 +--R (- 6b - 3a b + 3a b + a b )cos(x) + (2b + 3a b + a b )cos(x) +--R / +--R 4 7 6 5 2 7 +--R (8a b + 8a b )cos(x) sin(x) +--R + +--R 3 8 5 6 7 4 3 3 8 5 6 6 +--R ((- 24a b + 8a b + 32a b )cos(x) + (8a b + 8a b )cos(x))sin(x) +--R + +--R 2 9 4 7 6 5 8 3 4 +--R (26a b - 66a b - 42a b + 50a b )cos(x) +--R + +--R 2 9 4 7 6 5 2 2 9 4 7 +--R (- 28a b - 8a b + 20a b )cos(x) + 2a b + 2a b +--R * +--R 5 +--R sin(x) +--R + +--R 10 3 8 5 6 7 4 9 2 5 +--R (- 12a b + 82a b - 42a b - 98a b + 38a b )cos(x) +--R + +--R 10 3 8 5 6 7 4 3 +--R (24a b - 68a b - 88a b + 4a b )cos(x) +--R + +--R 10 3 8 5 6 +--R (- 12a b - 14a b - 2a b )cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 11 2 9 4 7 6 5 8 3 10 6 +--R (2b - 38a b + 88a b + 32a b - 82a b + 14a b)cos(x) +--R + +--R 11 2 9 4 7 6 5 8 3 4 +--R (- 6b + 72a b - 28a b - 136a b - 30a b )cos(x) +--R + +--R 11 2 9 4 7 6 5 2 11 2 9 4 7 +--R (6b - 30a b - 58a b - 22a b )cos(x) - 2b - 4a b - 2a b +--R * +--R 3 +--R sin(x) +--R + +--R 10 3 8 5 6 7 4 9 2 11 7 +--R (6a b - 42a b + 32a b + 48a b - 30a b + 2a )cos(x) +--R + +--R 10 3 8 5 6 7 4 9 2 5 +--R (- 18a b + 72a b + 44a b - 80a b - 34a b )cos(x) +--R + +--R 10 3 8 5 6 7 4 3 +--R (18a b - 18a b - 70a b - 34a b )cos(x) +--R + +--R 10 3 8 5 6 +--R (- 6a b - 12a b - 6a b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 2 9 4 7 6 5 8 3 10 8 +--R (6a b - 18a b - 2a b + 18a b - 4a b)cos(x) +--R + +--R 2 9 4 7 6 5 8 3 10 6 +--R (- 18a b + 24a b + 40a b - 16a b - 14a b)cos(x) +--R + +--R 2 9 4 7 6 5 8 3 4 +--R (18a b + 6a b - 32a b - 20a b )cos(x) +--R + +--R 2 9 4 7 6 5 2 +--R (- 6a b - 12a b - 6a b )cos(x) +--R * +--R sin(x) +--R + +--R 3 8 5 6 7 4 9 2 9 3 8 7 4 11 7 +--R (2a b - 2a b - 2a b + 2a b )cos(x) + (- 6a b + 8a b - 2a )cos(x) +--R + +--R 3 8 5 6 7 4 9 2 5 3 8 5 6 7 4 3 +--R (6a b + 6a b - 4a b - 4a b )cos(x) + (- 2a b - 4a b - 2a b )cos(x) +--R Type: Expression Integer +--E 68 + +--S 69 of 532 +t0712:= 1/(a*cos(x)+b*sin(x))^5 +--R +--R +--R (67) +--R 1 +--R / +--R 5 5 4 4 2 3 2 3 +--R b sin(x) + 5a b cos(x)sin(x) + 10a b cos(x) sin(x) +--R + +--R 3 2 3 2 4 4 5 5 +--R 10a b cos(x) sin(x) + 5a b cos(x) sin(x) + a cos(x) +--R Type: Expression Integer +--E 69 + +--S 70 of 532 +r0712:= -3/8*atanh((b*cos(x)-a*sin(x))/(a^2+b^2)^(1/2))/(a^2+b^2)^(5/2)-1/4*(b*cos(x)-a*sin(x))/(a^2+b^2)/(a*cos(x)+b*sin(x))^4-3/8*(b*cos(x)-a*sin(x))/(a^2+b^2)^2/(a*cos(x)+b*sin(x))^2 +--R +--R +--R (68) +--R 4 4 3 3 2 2 2 2 +--R 3b sin(x) + 12a b cos(x)sin(x) + 18a b cos(x) sin(x) +--R + +--R 3 3 4 4 +--R 12a b cos(x) sin(x) + 3a cos(x) +--R * +--R a sin(x) - b cos(x) +--R atanh(-------------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 2 3 3 2 2 +--R 3a b sin(x) + (- 3b + 6a b)cos(x)sin(x) +--R + +--R 2 3 2 2 3 2 3 +--R ((- 6a b + 3a )cos(x) + 2a b + 2a )sin(x) - 3a b cos(x) +--R + +--R 3 2 +--R (- 2b - 2a b)cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 8 2 6 4 4 4 7 3 5 5 3 3 +--R (8b + 16a b + 8a b )sin(x) + (32a b + 64a b + 32a b )cos(x)sin(x) +--R + +--R 2 6 4 4 6 2 2 2 +--R (48a b + 96a b + 48a b )cos(x) sin(x) +--R + +--R 3 5 5 3 7 3 4 4 6 2 8 4 +--R (32a b + 64a b + 32a b)cos(x) sin(x) + (8a b + 16a b + 8a )cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 70 + +--S 71 of 532 +a0712:= integrate(t0712,x) +--R +--R +--R (69) +--R 5 3 7 3 5 3 +--R ((12a b - 12a b)cos(x) - 12a b cos(x))sin(x) +--R + +--R 4 4 6 2 8 4 4 4 6 2 2 4 4 +--R (- 3a b + 18a b - 3a )cos(x) + (6a b - 18a b )cos(x) - 3a b +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(x) - b cos(x) - b - a )\|b + a +--R + +--R 2 3 3 2 3 2 +--R (- a b - a )sin(x) + (b + a b)cos(x) + b + a b +--R / +--R b sin(x) + a cos(x) +--R + +--R 6 3 4 5 2 3 5 2 7 2 +--R (- 8a b - 12a b + 20a b )cos(x) + (9a b - 3a )cos(x) +--R + +--R 6 3 4 5 2 7 +--R (8a b + 20a b )cos(x) - 5a b - 2a +--R * +--R sin(x) +--R + +--R 7 2 5 4 3 6 4 4 3 6 3 +--R (2b - 7a b - 28a b + 5a b)cos(x) + (- 3a b + 9a b)cos(x) +--R + +--R 7 2 5 4 3 2 4 3 6 7 2 5 +--R (- 4b + 2a b + 30a b )cos(x) + (5a b - 4a b)cos(x) + 2b + 5a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 5 7 7 5 9 3 11 3 +--R (32a b + 32a b - 32a b - 32a b)cos(x) +--R + +--R 5 7 7 5 9 3 +--R (- 32a b - 64a b - 32a b )cos(x) +--R * +--R sin(x) +--R + +--R 4 8 6 6 8 4 10 2 12 4 +--R (- 8a b + 32a b + 80a b + 32a b - 8a )cos(x) +--R + +--R 4 8 6 6 8 4 10 2 2 4 8 6 6 8 4 +--R (16a b - 16a b - 80a b - 48a b )cos(x) - 8a b - 16a b - 8a b +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Union(Expression Integer,...) +--E 71 + +--S 72 of 532 +m0712:= a0712-r0712 +--R +--R +--R (70) +--R 5 7 7 5 3 5 7 5 +--R ((12a b - 12a b )cos(x) - 12a b cos(x))sin(x) +--R + +--R 4 8 6 6 8 4 4 4 8 6 6 2 +--R (- 3a b + 66a b - 51a b )cos(x) + (6a b - 66a b )cos(x) +--R + +--R 4 8 +--R - 3a b +--R * +--R 4 +--R sin(x) +--R + +--R 5 7 7 5 9 3 5 5 7 7 5 3 +--R (- 12a b + 144a b - 84a b )cos(x) + (24a b - 144a b )cos(x) +--R + +--R 5 7 +--R - 12a b cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 6 6 8 4 10 2 6 6 6 8 4 4 +--R (- 18a b + 156a b - 66a b )cos(x) + (36a b - 156a b )cos(x) +--R + +--R 6 6 2 +--R - 18a b cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 7 5 9 3 11 7 7 5 9 3 5 +--R (- 12a b + 84a b - 24a b)cos(x) + (24a b - 84a b )cos(x) +--R + +--R 7 5 3 +--R - 12a b cos(x) +--R * +--R sin(x) +--R + +--R 8 4 10 2 12 8 8 4 10 2 6 +--R (- 3a b + 18a b - 3a )cos(x) + (6a b - 18a b )cos(x) +--R + +--R 8 4 4 +--R - 3a b cos(x) +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(x) - b cos(x) - b - a )\|b + a +--R + +--R 2 3 3 2 3 2 +--R (- a b - a )sin(x) + (b + a b)cos(x) + b + a b +--R / +--R b sin(x) + a cos(x) +--R + +--R 5 7 7 5 3 5 7 5 +--R ((- 12a b + 12a b )cos(x) + 12a b cos(x))sin(x) +--R + +--R 4 8 6 6 8 4 4 4 8 6 6 2 +--R (3a b - 66a b + 51a b )cos(x) + (- 6a b + 66a b )cos(x) +--R + +--R 4 8 +--R 3a b +--R * +--R 4 +--R sin(x) +--R + +--R 5 7 7 5 9 3 5 5 7 7 5 3 +--R (12a b - 144a b + 84a b )cos(x) + (- 24a b + 144a b )cos(x) +--R + +--R 5 7 +--R 12a b cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 6 6 8 4 10 2 6 6 6 8 4 4 +--R (18a b - 156a b + 66a b )cos(x) + (- 36a b + 156a b )cos(x) +--R + +--R 6 6 2 +--R 18a b cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 7 5 9 3 11 7 7 5 9 3 5 +--R (12a b - 84a b + 24a b)cos(x) + (- 24a b + 84a b )cos(x) +--R + +--R 7 5 3 +--R 12a b cos(x) +--R * +--R sin(x) +--R + +--R 8 4 10 2 12 8 8 4 10 2 6 +--R (3a b - 18a b + 3a )cos(x) + (- 6a b + 18a b )cos(x) +--R + +--R 8 4 4 +--R 3a b cos(x) +--R * +--R a sin(x) - b cos(x) +--R atanh(-------------------) +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 10 3 8 5 6 3 5 6 7 4 2 +--R (- 8a b - 12a b + 20a b )cos(x) + (9a b - 3a b )cos(x) +--R + +--R 10 3 8 5 6 7 4 +--R (8a b + 20a b )cos(x) - 5a b - 2a b +--R * +--R 5 +--R sin(x) +--R + +--R 11 2 9 4 7 6 5 4 +--R (2b - 39a b - 76a b + 85a b )cos(x) +--R + +--R 4 7 6 5 3 11 2 9 4 7 2 +--R (- 3a b + 33a b )cos(x) + (- 4b + 34a b + 110a b )cos(x) +--R + +--R 4 7 6 5 8 3 11 2 9 +--R (5a b - 12a b - 8a b )cos(x) + 2b + 5a b +--R * +--R 4 +--R sin(x) +--R + +--R 10 3 8 5 6 7 4 5 +--R (8a b - 76a b - 184a b + 140a b )cos(x) +--R + +--R 5 6 7 4 9 2 4 +--R (3a b + 36a b + 9a b )cos(x) +--R + +--R 10 3 8 5 6 3 +--R (- 16a b + 56a b + 240a b )cos(x) +--R + +--R 5 6 7 4 9 2 2 10 3 8 5 6 +--R (2a b - 4a b - 12a b )cos(x) + (8a b + 20a b )cos(x) + 3a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 9 4 7 6 5 8 3 6 +--R (12a b - 74a b - 216a b + 110a b )cos(x) +--R + +--R 4 7 6 5 8 3 10 5 +--R (- 3a b + 30a b + 15a b + 6a b)cos(x) +--R + +--R 2 9 4 7 6 5 4 +--R (- 24a b + 44a b + 260a b )cos(x) +--R + +--R 4 7 6 5 8 3 3 2 9 4 7 2 +--R (6a b - 32a b + 4a b )cos(x) + (12a b + 30a b )cos(x) +--R + +--R 4 7 6 5 8 3 +--R (- 3a b + 14a b + 8a b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 3 8 5 6 7 4 9 2 7 +--R (8a b - 36a b - 124a b + 40a b )cos(x) +--R + +--R 5 6 7 4 9 2 6 +--R (- 6a b + 39a b + 9a b )cos(x) +--R + +--R 3 8 5 6 7 4 5 +--R (- 16a b + 16a b + 140a b )cos(x) +--R + +--R 5 6 7 4 9 2 4 3 8 5 6 3 +--R (22a b - 44a b - 21a b )cos(x) + (8a b + 20a b )cos(x) +--R + +--R 5 6 7 4 9 2 2 5 6 7 4 +--R (- 18a b + 3a b + 12a b )cos(x) + 2a b + 2a b +--R * +--R sin(x) +--R + +--R 4 7 6 5 8 3 10 8 +--R (2a b - 7a b - 28a b + 5a b)cos(x) +--R + +--R 6 5 8 3 10 7 4 7 6 5 8 3 6 +--R (- 3a b + 15a b + 6a b)cos(x) + (- 4a b + 2a b + 30a b )cos(x) +--R + +--R 4 7 6 5 8 3 10 5 4 7 6 5 4 +--R (- 2a b + 16a b - 3a b - 6a b)cos(x) + (2a b + 5a b )cos(x) +--R + +--R 4 7 6 5 8 3 3 4 7 6 5 +--R (4a b - 11a b - 12a b )cos(x) + (- 2a b - 2a b )cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R / +--R 5 11 7 9 9 7 11 5 3 +--R (32a b + 32a b - 32a b - 32a b )cos(x) +--R + +--R 5 11 7 9 9 7 +--R (- 32a b - 64a b - 32a b )cos(x) +--R * +--R 5 +--R sin(x) +--R + +--R 4 12 6 10 8 8 10 6 12 4 4 +--R (- 8a b + 160a b + 208a b - 96a b - 136a b )cos(x) +--R + +--R 4 12 6 10 8 8 10 6 2 4 12 6 10 +--R (16a b - 144a b - 336a b - 176a b )cos(x) - 8a b - 16a b +--R + +--R 8 8 +--R - 8a b +--R * +--R 4 +--R sin(x) +--R + +--R 5 11 7 9 9 7 11 5 13 3 5 +--R (- 32a b + 320a b + 512a b - 64a b - 224a b )cos(x) +--R + +--R 5 11 7 9 9 7 11 5 3 +--R (64a b - 256a b - 704a b - 384a b )cos(x) +--R + +--R 5 11 7 9 9 7 +--R (- 32a b - 64a b - 32a b )cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 6 10 8 8 10 6 12 4 14 2 6 +--R (- 48a b + 320a b + 608a b + 64a b - 176a b )cos(x) +--R + +--R 6 10 8 8 10 6 12 4 4 +--R (96a b - 224a b - 736a b - 416a b )cos(x) +--R + +--R 6 10 8 8 10 6 2 +--R (- 48a b - 96a b - 48a b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 7 9 9 7 11 5 13 3 15 7 +--R (- 32a b + 160a b + 352a b + 96a b - 64a b)cos(x) +--R + +--R 7 9 9 7 11 5 13 3 5 +--R (64a b - 96a b - 384a b - 224a b )cos(x) +--R + +--R 7 9 9 7 11 5 3 +--R (- 32a b - 64a b - 32a b )cos(x) +--R * +--R sin(x) +--R + +--R 8 8 10 6 12 4 14 2 16 8 +--R (- 8a b + 32a b + 80a b + 32a b - 8a )cos(x) +--R + +--R 8 8 10 6 12 4 14 2 6 +--R (16a b - 16a b - 80a b - 48a b )cos(x) +--R + +--R 8 8 10 6 12 4 4 +--R (- 8a b - 16a b - 8a b )cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R Type: Expression Integer +--E 72 + +--S 73 of 532 +d0712:= D(m0712,x) +--R +--R +--R (71) +--R 3 10 5 8 7 6 6 3 10 5 8 4 +--R (48a b - 96a b + 48a b )cos(x) + (- 96a b + 96a b )cos(x) +--R + +--R 3 10 2 +--R 48a b cos(x) +--R * +--R 9 +--R sin(x) +--R + +--R 2 11 4 9 6 7 8 5 7 +--R (- 72a b + 456a b - 600a b + 216a b )cos(x) +--R + +--R 2 11 4 9 6 7 5 +--R (168a b - 816a b + 552a b )cos(x) +--R + +--R 2 11 4 9 3 2 11 +--R (- 120a b + 360a b )cos(x) + 24a b cos(x) +--R * +--R 8 +--R sin(x) +--R + +--R 12 3 10 5 8 7 6 9 4 8 +--R (27a b - 444a b + 1530a b - 1452a b + 387a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 6 +--R (- 84a b + 972a b - 2508a b + 1236a b )cos(x) +--R + +--R 12 3 10 5 8 4 +--R (90a b - 612a b + 978a b )cos(x) +--R + +--R 12 3 10 2 12 +--R (- 36a b + 84a b )cos(x) + 3a b +--R * +--R 7 +--R sin(x) +--R + +--R 13 2 11 4 9 6 7 8 5 10 3 +--R (- 3b + 72a b - 906a b + 2340a b - 1707a b + 348a b ) +--R * +--R 9 +--R cos(x) +--R + +--R 13 2 11 4 9 6 7 8 5 7 +--R (12b - 204a b + 1740a b - 3444a b + 1320a b )cos(x) +--R + +--R 13 2 11 4 9 6 7 5 +--R (- 18b + 180a b - 762a b + 1104a b )cos(x) +--R + +--R 13 2 11 4 9 3 13 2 11 +--R (12b - 36a b - 72a b )cos(x) + (- 3b - 12a b )cos(x) +--R * +--R 6 +--R sin(x) +--R + +--R 12 3 10 5 8 7 6 9 4 11 2 +--R (15a b - 186a b - 342a b + 1440a b - 945a b + 162a b ) +--R * +--R 10 +--R cos(x) +--R + +--R 12 3 10 5 8 7 6 9 4 8 +--R (- 63a b + 672a b - 78a b - 1560a b + 597a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 6 +--R (102a b - 900a b + 1182a b + 120a b )cos(x) +--R + +--R 12 3 10 5 8 4 +--R (- 78a b + 528a b - 762a b )cos(x) +--R + +--R 12 3 10 2 12 +--R (27a b - 114a b )cos(x) - 3a b +--R * +--R 5 +--R sin(x) +--R + +--R 13 2 11 4 9 6 7 8 5 10 3 +--R - 3b + 126a b - 1038a b + 1368a b - 315a b - 126a b +--R + +--R 12 +--R 36a b +--R * +--R 11 +--R cos(x) +--R + +--R 13 2 11 4 9 6 7 8 5 10 3 +--R (15b - 516a b + 3390a b - 4224a b + 1227a b - 36a b ) +--R * +--R 9 +--R cos(x) +--R + +--R 13 2 11 4 9 6 7 8 5 7 +--R (- 30b + 804a b - 3942a b + 4344a b - 912a b )cos(x) +--R + +--R 13 2 11 4 9 6 7 5 +--R (30b - 576a b + 1866a b - 1488a b )cos(x) +--R + +--R 13 2 11 4 9 3 13 2 11 +--R (- 15b + 174a b - 276a b )cos(x) + (3b - 12a b )cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 12 3 10 5 8 7 6 9 4 +--R - 12a b + 294a b - 1797a b + 2280a b - 906a b +--R + +--R 11 2 13 +--R 90a b + 3a +--R * +--R 12 +--R cos(x) +--R + +--R 12 3 10 5 8 7 6 9 4 +--R 60a b - 1194a b + 5700a b - 5928a b + 1776a b +--R + +--R 11 2 +--R - 126a b +--R * +--R 10 +--R cos(x) +--R + +--R 12 3 10 5 8 7 6 9 4 8 +--R (- 120a b + 1836a b - 6318a b + 5016a b - 870a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 6 +--R (120a b - 1284a b + 2724a b - 1368a b )cos(x) +--R + +--R 12 3 10 5 8 4 +--R (- 60a b + 366a b - 309a b )cos(x) +--R + +--R 12 3 10 2 +--R (12a b - 18a b )cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 2 11 4 9 6 7 8 5 10 3 12 +--R (- 18a b + 321a b - 1536a b + 1494a b - 438a b + 33a b) +--R * +--R 13 +--R cos(x) +--R + +--R 2 11 4 9 6 7 8 5 10 3 12 +--R (90a b - 1296a b + 4776a b - 3612a b + 750a b - 36a b) +--R * +--R 11 +--R cos(x) +--R + +--R 2 11 4 9 6 7 8 5 10 3 9 +--R (- 180a b + 1974a b - 5112a b + 2742a b - 312a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 7 +--R (180a b - 1356a b + 2040a b - 624a b )cos(x) +--R + +--R 2 11 4 9 6 7 5 2 11 4 9 3 +--R (- 90a b + 369a b - 168a b )cos(x) + (18a b - 12a b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 3 10 5 8 7 6 9 4 11 2 13 +--R (- 12a b + 171a b - 660a b + 426a b - 72a b + 3a ) +--R * +--R 14 +--R cos(x) +--R + +--R 3 10 5 8 7 6 9 4 11 2 13 +--R (60a b - 687a b + 2016a b - 966a b + 108a b - 3a ) +--R * +--R 12 +--R cos(x) +--R + +--R 3 10 5 8 7 6 9 4 11 2 10 +--R (- 120a b + 1038a b - 2088a b + 654a b - 36a b )cos(x) +--R + +--R 3 10 5 8 7 6 9 4 8 +--R (120a b - 702a b + 768a b - 114a b )cos(x) +--R + +--R 3 10 5 8 7 6 6 3 10 5 8 4 +--R (- 60a b + 183a b - 36a b )cos(x) + (12a b - 3a b )cos(x) +--R * +--R sin(x) +--R + +--R 4 9 6 7 8 5 10 3 12 15 +--R (- 3a b + 36a b - 114a b + 36a b - 3a b)cos(x) +--R + +--R 4 9 6 7 8 5 10 3 12 13 +--R (15a b - 144a b + 342a b - 72a b + 3a b)cos(x) +--R + +--R 4 9 6 7 8 5 10 3 11 +--R (- 30a b + 216a b - 342a b + 36a b )cos(x) +--R + +--R 4 9 6 7 8 5 9 4 9 6 7 7 +--R (30a b - 144a b + 114a b )cos(x) + (- 15a b + 36a b )cos(x) +--R + +--R 4 9 5 +--R 3a b cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|b + a +--R + +--R 4 10 6 8 8 6 4 +--R (36a b - 48a b + 12a b )cos(x) +--R + +--R 4 10 6 8 8 6 2 4 10 6 8 +--R (- 24a b + 24a b + 24a b )cos(x) + 20a b + 8a b +--R * +--R 10 +--R sin(x) +--R + +--R 3 11 5 9 7 7 9 5 5 +--R (- 90a b + 390a b - 318a b + 66a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 3 +--R (84a b - 280a b + 76a b + 128a b )cos(x) +--R + +--R 3 11 5 9 7 7 +--R (- 42a b + 130a b + 64a b )cos(x) +--R * +--R 9 +--R sin(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 6 +--R (75a b - 801a b + 1587a b - 747a b + 54a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 4 +--R (- 141a b + 842a b - 925a b - 188a b + 280a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 2 2 12 4 10 +--R (49a b - 353a b + 182a b + 176a b )cos(x) - 15a b - 32a b +--R + +--R 6 8 +--R - 8a b +--R * +--R 8 +--R sin(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (- 24a b + 666a b - 2694a b + 2730a b - 474a b - 60a b ) +--R * +--R 7 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (72a b - 1318a b + 2464a b - 446a b - 1004a b + 320a b ) +--R * +--R 5 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 3 +--R (- 40a b + 558a b - 630a b - 388a b + 192a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 +--R (- 8a b - 130a b - 276a b - 64a b )cos(x) +--R * +--R 7 +--R sin(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R 3b - 252a b + 1818a b - 3546a b + 1473a b + 294a b +--R + +--R 12 2 +--R - 78a b +--R * +--R 8 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R - 12b + 768a b - 3350a b + 1176a b + 2310a b - 1244a b +--R + +--R 12 2 +--R 72a b +--R * +--R 6 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 4 +--R (10b - 576a b + 980a b + 1006a b - 1200a b - 256a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 2 14 +--R (4b + 64a b - 126a b - 916a b - 328a b )cos(x) - 5b +--R + +--R 2 12 4 10 +--R - 4a b - 2a b +--R * +--R 6 +--R sin(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R 48a b - 336a b + 1032a b - 762a b - 510a b + 306a b +--R + +--R 13 +--R - 18a b +--R * +--R 9 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (- 192a b + 1240a b - 790a b - 4736a b + 2706a b + 180a b ) +--R * +--R 7 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (240a b - 840a b - 2438a b + 3478a b + 548a b - 640a b ) +--R * +--R 5 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 3 +--R (- 96a b - 120a b + 1054a b - 716a b - 768a b )cos(x) +--R + +--R 3 11 5 9 7 7 +--R (56a b - 26a b - 64a b )cos(x) +--R * +--R 5 +--R sin(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R - 3b - 123a b + 1167a b - 2298a b + 1503a b - 291a b +--R + +--R 12 2 +--R - 3a b +--R * +--R 10 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R 15b + 243a b - 2926a b + 6622a b - 4537a b - 1305a b +--R + +--R 12 2 +--R 240a b +--R * +--R 8 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R - 30b - 118a b + 3852a b - 6974a b - 1226a b + 2272a b +--R + +--R 12 2 +--R - 144a b +--R * +--R 6 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 4 +--R (30b + 6a b - 2718a b + 802a b + 1548a b - 328a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 2 14 +--R (- 15b - 15a b + 629a b + 616a b + 32a b )cos(x) + 3b +--R + +--R 2 12 4 10 6 8 +--R 7a b - 4a b - 8a b +--R * +--R 4 +--R sin(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R 60a b - 888a b + 3228a b - 3102a b + 306a b + 270a b +--R + +--R 13 +--R - 18a b +--R * +--R 11 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R - 220a b + 3308a b - 9000a b + 4470a b + 2260a b +--R + +--R 11 3 13 +--R - 782a b + 36a b +--R * +--R 9 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (280a b - 4640a b + 8792a b + 994a b - 4970a b - 4a b ) +--R * +--R 7 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (- 120a b + 3048a b - 3024a b - 4158a b + 740a b + 320a b ) +--R * +--R 5 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 3 +--R (- 20a b - 968a b - 180a b + 1156a b + 448a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 +--R (20a b + 140a b + 184a b + 64a b )cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R - 6b + 198a b - 1419a b + 2694a b - 762a b - 492a b +--R + +--R 12 2 +--R 75a b +--R * +--R 12 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R 28b - 1162a b + 5922a b - 5240a b - 2962a b + 942a b +--R + +--R 12 2 +--R - 24a b +--R * +--R 10 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R - 50b + 2424a b - 7984a b + 184a b + 6222a b + 218a b +--R + +--R 12 2 +--R - 174a b +--R * +--R 8 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R 40b - 2292a b + 3752a b + 3836a b - 2486a b - 1156a b +--R + +--R 12 2 +--R 72a b +--R * +--R 6 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R (- 10b + 982a b - 127a b - 1574a b - 196a b + 304a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 2 14 +--R (- 4b - 162a b - 162a b + 92a b + 96a b )cos(x) + 2b +--R + +--R 2 12 4 10 6 8 +--R 12a b + 18a b + 8a b +--R * +--R 2 +--R sin(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (- 12a b + 204a b - 888a b + 708a b + 276a b - 96a b ) +--R * +--R 13 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R 152a b - 1476a b + 3012a b + 800a b - 1218a b - 120a b +--R + +--R 13 +--R 18a b +--R * +--R 11 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R - 500a b + 3136a b - 2076a b - 4376a b + 42a b + 332a b +--R + +--R 13 +--R - 18a b +--R * +--R 9 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (720a b - 2568a b - 1496a b + 2816a b + 1250a b - 116a b ) +--R * +--R 7 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 5 +--R (- 500a b + 588a b + 1600a b + 180a b - 350a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 3 +--R (152a b + 140a b - 140a b - 128a b )cos(x) +--R + +--R 13 3 11 5 9 +--R (- 12a b - 24a b - 12a b )cos(x) +--R * +--R sin(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 14 +--R (- 6a b + 69a b - 189a b - 33a b + 39a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 12 2 +--R (- 8b + 116a b - 453a b + 199a b + 398a b - 33a b - 39a b ) +--R * +--R 12 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 12 2 +--R (40b - 386a b + 734a b + 784a b - 324a b - 161a b + 27a b ) +--R * +--R 10 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R - 80b + 504a b - 186a b - 1266a b - 478a b + 81a b +--R + +--R 12 2 +--R 12a b +--R * +--R 8 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 6 +--R (80b - 266a b - 351a b + 331a b + 413a b + 74a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 4 +--R (- 40b + 20a b + 175a b + 139a b + 24a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 2 +--R (8b + 18a b + 12a b + 2a b )cos(x) +--R / +--R 4 15 8 11 12 7 6 +--R (128a b - 256a b + 128a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 4 +--R (- 256a b - 256a b + 256a b + 256a b )cos(x) +--R + +--R 4 15 6 13 8 11 2 +--R (128a b + 256a b + 128a b )cos(x) +--R * +--R 9 +--R sin(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 +--R - 320a b + 960a b + 896a b - 1664a b - 576a b +--R + +--R 13 6 +--R 704a b +--R * +--R 7 +--R cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 5 +--R (704a b - 1280a b - 2944a b + 768a b + 1728a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 3 +--R (- 448a b + 192a b + 1728a b + 1088a b )cos(x) +--R + +--R 3 16 5 14 7 12 +--R (64a b + 128a b + 64a b )cos(x) +--R * +--R 8 +--R sin(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 +--R 264a b - 2320a b + 1976a b + 5664a b - 3592a b +--R + +--R 12 7 14 5 +--R - 3088a b + 1608a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 +--R - 800a b + 4384a b + 192a b - 11200a b - 1440a b +--R + +--R 12 7 +--R 4768a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 4 +--R (816a b - 1792a b - 2464a b + 3712a b + 3568a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 2 2 17 +--R (- 288a b - 288a b + 288a b + 288a b )cos(x) + 8a b +--R + +--R 4 15 6 13 +--R 16a b + 8a b +--R * +--R 7 +--R sin(x) +--R + +--R 18 3 16 5 14 7 12 9 10 +--R - 80a b + 1800a b - 6656a b - 1256a b + 14320a b +--R + +--R 11 8 13 6 15 4 +--R - 1736a b - 6816a b + 1960a b +--R * +--R 9 +--R cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 +--R 320a b - 5216a b + 9632a b + 12864a b - 18816a b +--R + +--R 11 8 13 6 +--R - 9696a b + 6816a b +--R * +--R 7 +--R cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 +--R - 480a b + 4848a b + 576a b - 9760a b + 544a b +--R + +--R 11 8 +--R 5552a b +--R * +--R 5 +--R cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 3 +--R (320a b - 1248a b - 3424a b - 1824a b + 32a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 +--R (- 80a b - 184a b - 128a b - 24a b )cos(x) +--R * +--R 6 +--R sin(x) +--R + +--R 19 2 17 4 15 6 13 8 11 10 9 +--R 8b - 480a b + 5160a b - 9264a b - 11160a b + 17920a b +--R + +--R 12 7 14 5 16 3 +--R 4888a b - 7920a b + 1360a b +--R * +--R 10 +--R cos(x) +--R + +--R 19 2 17 4 15 6 13 8 11 +--R - 40b + 1896a b - 14184a b + 5672a b + 33608a b +--R + +--R 10 9 12 7 14 5 +--R - 11144a b - 17848a b + 5112a b +--R * +--R 8 +--R cos(x) +--R + +--R 19 2 17 4 15 6 13 8 11 +--R 80b - 2784a b + 11616a b + 15296a b - 12528a b +--R + +--R 10 9 12 7 +--R - 10080a b + 3264a b +--R * +--R 6 +--R cos(x) +--R + +--R 19 2 17 4 15 6 13 8 11 +--R - 80b + 1776a b - 1344a b - 10560a b - 9584a b +--R + +--R 10 9 +--R - 2224a b +--R * +--R 4 +--R cos(x) +--R + +--R 19 2 17 4 15 6 13 8 11 2 19 +--R (40b - 384a b - 1224a b - 1136a b - 336a b )cos(x) - 8b +--R + +--R 2 17 4 15 6 13 +--R - 24a b - 24a b - 8a b +--R * +--R 5 +--R sin(x) +--R + +--R 18 3 16 5 14 7 12 9 10 +--R 40a b - 1200a b + 8040a b - 5280a b - 18872a b +--R + +--R 11 8 13 6 15 4 17 2 +--R 10320a b + 8984a b - 5120a b + 528a b +--R * +--R 11 +--R cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 +--R - 200a b + 4680a b - 20680a b - 11960a b + 39144a b +--R + +--R 11 8 13 6 15 4 +--R 8344a b - 15704a b + 1496a b +--R * +--R 9 +--R cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 +--R 400a b - 6720a b + 13920a b + 36480a b + 208a b +--R + +--R 11 8 13 6 +--R - 17344a b - 2112a b +--R * +--R 7 +--R cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 +--R - 400a b + 4080a b + 1920a b - 16000a b - 19440a b +--R + +--R 11 8 +--R - 6000a b +--R * +--R 5 +--R cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 3 +--R (200a b - 720a b - 3080a b - 3200a b - 1040a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 +--R (- 40a b - 120a b - 120a b - 40a b )cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 +--R 80a b - 1600a b + 7320a b + 1680a b - 15160a b +--R + +--R 12 7 14 5 16 3 18 +--R 416a b + 6376a b - 1776a b + 104a b +--R * +--R 12 +--R cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 +--R - 400a b + 6160a b - 17200a b - 25936a b + 20880a b +--R + +--R 12 7 14 5 16 3 +--R 17136a b - 6352a b - 432a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 +--R 800a b - 8640a b + 7920a b + 42112a b + 17152a b +--R + +--R 12 7 14 5 +--R - 12352a b - 4752a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 +--R - 800a b + 4960a b + 6240a b - 13216a b - 21312a b +--R + +--R 12 7 +--R - 7616a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 4 +--R (400a b - 640a b - 4040a b - 4560a b - 1560a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 2 +--R (- 80a b - 240a b - 240a b - 80a b )cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 +--R 80a b - 1200a b + 3864a b + 4160a b - 5784a b +--R + +--R 13 6 15 4 17 2 19 +--R - 2416a b + 2088a b - 288a b + 8a +--R * +--R 13 +--R cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 +--R - 400a b + 4560a b - 7920a b - 21456a b + 1552a b +--R + +--R 13 6 15 4 17 2 +--R 10160a b - 400a b - 432a b +--R * +--R 11 +--R cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 +--R 800a b - 6240a b + 816a b + 26688a b + 18816a b +--R + +--R 13 6 15 4 +--R - 3168a b - 3152a b +--R * +--R 9 +--R cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 +--R - 800a b + 3360a b + 6432a b - 5728a b - 13312a b +--R + +--R 13 6 +--R - 5312a b +--R * +--R 7 +--R cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 5 +--R (400a b - 240a b - 2952a b - 3584a b - 1272a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 3 +--R (- 80a b - 240a b - 240a b - 80a b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 4 15 6 13 8 11 10 9 12 7 14 5 +--R 40a b - 480a b + 1080a b + 2224a b - 616a b - 960a b +--R + +--R 16 3 18 +--R 264a b - 16a b +--R * +--R 14 +--R cos(x) +--R + +--R 4 15 6 13 8 11 10 9 12 7 +--R - 200a b + 1800a b - 1736a b - 8568a b - 3096a b +--R + +--R 14 5 16 3 18 +--R 2264a b + 424a b - 104a b +--R * +--R 12 +--R cos(x) +--R + +--R 4 15 6 13 8 11 10 9 12 7 +--R 400a b - 2400a b - 1152a b + 8896a b + 8720a b +--R + +--R 14 5 16 3 +--R 544a b - 928a b +--R * +--R 10 +--R cos(x) +--R + +--R 4 15 6 13 8 11 10 9 12 7 +--R - 400a b + 1200a b + 3072a b - 1024a b - 4464a b +--R + +--R 14 5 +--R - 1968a b +--R * +--R 8 +--R cos(x) +--R + +--R 4 15 8 11 10 9 12 7 6 +--R (200a b - 1144a b - 1488a b - 544a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 4 +--R (- 40a b - 120a b - 120a b - 40a b )cos(x) +--R * +--R sin(x) +--R + +--R 5 14 7 12 9 10 11 8 13 6 15 4 17 2 +--R (8a b - 80a b + 120a b + 416a b + 120a b - 80a b + 8a b ) +--R * +--R 15 +--R cos(x) +--R + +--R 5 14 7 12 9 10 11 8 13 6 15 4 +--R - 40a b + 296a b - 104a b - 1368a b - 952a b + 56a b +--R + +--R 17 2 19 +--R 72a b - 8a +--R * +--R 13 +--R cos(x) +--R + +--R 5 14 7 12 9 10 11 8 13 6 15 4 +--R 80a b - 384a b - 384a b + 1216a b + 1552a b + 320a b +--R + +--R 17 2 +--R - 96a b +--R * +--R 11 +--R cos(x) +--R + +--R 5 14 7 12 9 10 13 6 15 4 9 +--R (- 80a b + 176a b + 576a b - 624a b - 304a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 13 6 7 +--R (40a b + 16a b - 184a b - 256a b - 96a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 5 +--R (- 8a b - 24a b - 24a b - 8a b )cos(x) +--R Type: Expression Integer +--E 73 + +--S 74 of 532 +t0713:= (a*cos(x)+b*sin(x))^(1/2) +--R +--R +--R +-------------------+ +--R (72) \|b sin(x) + a cos(x) +--R Type: Expression Integer +--E 74 + +--S 75 of 532 +r0713:= 2*EllipticE(1/2*x-1/2*atan(a,b),2)*(a*cos(x)+b*sin(x))^(1/2)/((a*cos(x)+b*sin(x))/(a^2+b^2)^(1/2))^(1/2) +--R +--R There are 2 exposed and 0 unexposed library operations named atan +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op atan +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named atan +--R with argument type(s) +--R Variable a +--R Variable b +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 75 + +--S 76 of 532 +a0713:= integrate(t0713,x) +--R +--R +--R x +--R ++ +---------------------+ +--R (73) | \|b sin(%P) + a cos(%P) d%P +--R ++ +--R Type: Union(Expression Integer,...) +--E 76 + +--S 77 of 532 +m0713:= a0713-r0713 +--R +--R +--R x +--R ++ +---------------------+ +--R (74) | \|b sin(%P) + a cos(%P) d%P - r0713 +--R ++ +--R Type: Expression Integer +--E 77 + +--S 78 of 532 +d0713:= D(m0713,x) +--R +--R +--R +-------------------+ +--R (75) \|b sin(x) + a cos(x) +--R Type: Expression Integer +--E 78 + +--S 79 of 532 +t0714:= (a*cos(x)+b*sin(x))^(3/2) +--R +--R +--R +-------------------+ +--R (76) (b sin(x) + a cos(x))\|b sin(x) + a cos(x) +--R Type: Expression Integer +--E 79 + +--S 80 of 532 +r0714:= -2/3*(b*cos(x)-a*sin(x))*(a*cos(x)+b*sin(x))^(1/2)+2/3*(a^2+b^2)*EllipticF(1/2*x-1/2*atan(a,b),2)*((a*cos(x)+b*sin(x))/(a^2+b^2)^(1/2))^(1/2)/(a*cos(x)+b*sin(x))^(1/2) +--R +--R There are 2 exposed and 0 unexposed library operations named atan +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op atan +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named atan +--R with argument type(s) +--R Variable a +--R Variable b +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 80 + +--S 81 of 532 +a0714:= integrate(t0714,x) +--R +--R +--R x +--R ++ +---------------------+ +--R (77) | (b sin(%P) + a cos(%P))\|b sin(%P) + a cos(%P) d%P +--R ++ +--R Type: Union(Expression Integer,...) +--E 81 + +--S 82 of 532 +m0714:= a0714-r0714 +--R +--R +--R x +--R ++ +---------------------+ +--R (78) | (b sin(%P) + a cos(%P))\|b sin(%P) + a cos(%P) d%P - r0714 +--R ++ +--R Type: Expression Integer +--E 82 + +--S 83 of 532 +d0714:= D(m0714,x) +--R +--R +--R +-------------------+ +--R (79) (b sin(x) + a cos(x))\|b sin(x) + a cos(x) +--R Type: Expression Integer +--E 83 + +--S 84 of 532 +t0715:= (a*cos(x)+b*sin(x))^(5/2) +--R +--R +--R 2 2 2 2 +-------------------+ +--R (80) (b sin(x) + 2a b cos(x)sin(x) + a cos(x) )\|b sin(x) + a cos(x) +--R Type: Expression Integer +--E 84 + +--S 85 of 532 +r0715:= -2/5*(b*cos(x)-a*sin(x))*(a*cos(x)+b*sin(x))^(3/2)+6/5*(a^2+b^2)*EllipticE(1/2*x-1/2*atan(a,b),2)*(a*cos(x)+b*sin(x))^(1/2)/((a*cos(x)+b*sin(x))/(a^2+b^2)^(1/2))^(1/2) +--R +--R There are 2 exposed and 0 unexposed library operations named atan +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op atan +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named atan +--R with argument type(s) +--R Variable a +--R Variable b +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 85 + +--S 86 of 532 +a0715:= integrate(t0715,x) +--R +--R +--R (81) +--R INTSIGN +--R , +--R x +--R , +--R 2 2 2 2 +---------------------+ +--R (b sin(%P) + 2a b cos(%P)sin(%P) + a cos(%P) )\|b sin(%P) + a cos(%P) d%P +--R Type: Union(Expression Integer,...) +--E 86 + +--S 87 of 532 +m0715:= a0715-r0715 +--R +--R +--R (82) +--R INTSIGN +--R , +--R x +--R , +--R 2 2 2 2 +--R (b sin(%P) + 2a b cos(%P)sin(%P) + a cos(%P) ) +--R * +--R +---------------------+ +--R \|b sin(%P) + a cos(%P) d%P +--R + +--R - r0715 +--R Type: Expression Integer +--E 87 + +--S 88 of 532 +d0715:= D(m0715,x) +--R +--R +--R 2 2 2 2 +-------------------+ +--R (83) (b sin(x) + 2a b cos(x)sin(x) + a cos(x) )\|b sin(x) + a cos(x) +--R Type: Expression Integer +--E 88 + +--S 89 of 532 +t0716:= 1/(a*cos(x)+b*sin(x))^(1/2) +--R +--R +--R 1 +--R (84) ---------------------- +--R +-------------------+ +--R \|b sin(x) + a cos(x) +--R Type: Expression Integer +--E 89 + +--S 90 of 532 +r0716:= 2*EllipticF(1/2*x-1/2*atan(a,b),2)*((a*cos(x)+b*sin(x))/(a^2+b^2)^(1/2))^(1/2)/(a*cos(x)+b*sin(x))^(1/2) +--R +--R There are 2 exposed and 0 unexposed library operations named atan +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op atan +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named atan +--R with argument type(s) +--R Variable a +--R Variable b +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 90 + +--S 91 of 532 +a0716:= integrate(t0716,x) +--R +--R +--R x +--R ++ 1 +--R (85) | ------------------------ d%P +--R ++ +---------------------+ +--R \|b sin(%P) + a cos(%P) +--R Type: Union(Expression Integer,...) +--E 91 + +--S 92 of 532 +m0716:= a0716-r0716 +--R +--R +--R x +--R ++ 1 +--R (86) | ------------------------ d%P - r0716 +--R ++ +---------------------+ +--R \|b sin(%P) + a cos(%P) +--R Type: Expression Integer +--E 92 + +--S 93 of 532 +d0716:= D(m0716,x) +--R +--R +--R 1 +--R (87) ---------------------- +--R +-------------------+ +--R \|b sin(x) + a cos(x) +--R Type: Expression Integer +--E 93 + +--S 94 of 532 +t0717:= 1/(a*cos(x)+b*sin(x))^(3/2) +--R +--R +--R 1 +--R (88) ------------------------------------------- +--R +-------------------+ +--R (b sin(x) + a cos(x))\|b sin(x) + a cos(x) +--R Type: Expression Integer +--E 94 + +--S 95 of 532 +r0717:= -2*(b*cos(x)-a*sin(x))/(a^2+b^2)/(a*cos(x)+b*sin(x))^(1/2)-2*EllipticE(1/2*x-1/2*atan(a,b),2)*(a*cos(x)+b*sin(x))^(1/2)/(a^2+b^2)/((a*cos(x)+b*sin(x))/(a^2+b^2)^(1/2))^(1/2) +--R +--R There are 2 exposed and 0 unexposed library operations named atan +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op atan +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named atan +--R with argument type(s) +--R Variable a +--R Variable b +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 95 + +--S 96 of 532 +a0717:= integrate(t0717,x) +--R +--R +--R x +--R ++ 1 +--R (89) | ----------------------------------------------- d%P +--R ++ +---------------------+ +--R (b sin(%P) + a cos(%P))\|b sin(%P) + a cos(%P) +--R Type: Union(Expression Integer,...) +--E 96 + +--S 97 of 532 +m0717:= a0717-r0717 +--R +--R +--R x +--R ++ 1 +--R (90) | ----------------------------------------------- d%P - r0717 +--R ++ +---------------------+ +--R (b sin(%P) + a cos(%P))\|b sin(%P) + a cos(%P) +--R Type: Expression Integer +--E 97 + +--S 98 of 532 +d0717:= D(m0717,x) +--R +--R +--R 1 +--R (91) ------------------------------------------- +--R +-------------------+ +--R (b sin(x) + a cos(x))\|b sin(x) + a cos(x) +--R Type: Expression Integer +--E 98 + +--S 99 of 532 +t0718:= 1/(a*cos(x)+b*sin(x))^(5/2) +--R +--R +--R 1 +--R (92) ----------------------------------------------------------------- +--R 2 2 2 2 +-------------------+ +--R (b sin(x) + 2a b cos(x)sin(x) + a cos(x) )\|b sin(x) + a cos(x) +--R Type: Expression Integer +--E 99 + +--S 100 of 532 +r0718:= -2/3*(b*cos(x)-a*sin(x))/(a^2+b^2)/(a*cos(x)+b*sin(x))^(3/2)+2/3*EllipticF(1/2*x-1/2*atan(a,b),2)*((a*cos(x)+b*sin(x))/(a^2+b^2)^(1/2))^(1/2)/(a^2+b^2)/(a*cos(x)+b*sin(x))^(1/2) +--R +--R There are 2 exposed and 0 unexposed library operations named atan +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op atan +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named atan +--R with argument type(s) +--R Variable a +--R Variable b +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 100 + +--S 101 of 532 +a0718:= integrate(t0718,x) +--R +--R +--R (93) +--R INTSIGN +--R , +--R x +--R , +--R 1 +--R ----------------------------------------------------------------------- +--R 2 2 2 2 +---------------------+ +--R (b sin(%P) + 2a b cos(%P)sin(%P) + a cos(%P) )\|b sin(%P) + a cos(%P) +--R * +--R d%P +--R Type: Union(Expression Integer,...) +--E 101 + +--S 102 of 532 +m0718:= a0718-r0718 +--R +--R +--R (94) +--R INTSIGN +--R , +--R x +--R , +--R 1 +--R / +--R 2 2 2 2 +--R (b sin(%P) + 2a b cos(%P)sin(%P) + a cos(%P) ) +--R * +--R +---------------------+ +--R \|b sin(%P) + a cos(%P) +--R * +--R d%P +--R + +--R - r0718 +--R Type: Expression Integer +--E 102 + +--S 103 of 532 +d0718:= D(m0718,x) +--R +--R +--R 1 +--R (95) ----------------------------------------------------------------- +--R 2 2 2 2 +-------------------+ +--R (b sin(x) + 2a b cos(x)sin(x) + a cos(x) )\|b sin(x) + a cos(x) +--R Type: Expression Integer +--E 103 + +--S 104 of 532 +t0719:= (a*sec(x)+b*tan(x))^5 +--R +--R +--R (96) +--R 5 5 4 4 2 3 2 3 +--R b tan(x) + 5a b sec(x)tan(x) + 10a b sec(x) tan(x) +--R + +--R 3 2 3 2 4 4 5 5 +--R 10a b sec(x) tan(x) + 5a b sec(x) tan(x) + a sec(x) +--R Type: Expression Integer +--E 104 + +--S 105 of 532 +r0719:= -1/16*(a+b)^3*(3*a^2-9*a*b+8*b^2)*log(1-sin(x))+1/16*(a-b)^3*(3*a^2+9*a*b+8*b^2)*log(1+sin(x))+1/16*(a+b)^5/(1-sin(x))^2+(3*a-7*b)*(a+b)^4/(16-16*sin(x))-1/16*(a-b)^5/(1+sin(x))^2-(a-b)^4*(3*a+7*b)/(16+16*sin(x)) +--R +--R +--R (97) +--R 5 4 3 2 5 4 +--R (- 8b + 15a b - 10a b + 3a )sin(x) +--R + +--R 5 4 3 2 5 2 5 4 3 2 5 +--R (16b - 30a b + 20a b - 6a )sin(x) - 8b + 15a b - 10a b + 3a +--R * +--R log(sin(x) + 1) +--R + +--R 5 4 3 2 5 4 +--R (- 8b - 15a b + 10a b - 3a )sin(x) +--R + +--R 5 4 3 2 5 2 5 4 3 2 5 +--R (16b + 30a b - 20a b + 6a )sin(x) - 8b - 15a b + 10a b - 3a +--R * +--R log(- sin(x) + 1) +--R + +--R 4 3 2 5 3 5 2 3 2 +--R (50a b + 20a b - 6a )sin(x) + (16b + 80a b )sin(x) +--R + +--R 4 3 2 5 5 2 3 4 +--R (- 30a b + 20a b + 10a )sin(x) - 12b - 40a b + 20a b +--R / +--R 4 2 +--R 16sin(x) - 32sin(x) + 16 +--R Type: Expression Integer +--E 105 + +--S 106 of 532 +a0719:= integrate(t0719,x) +--R +--R +--R (98) +--R 5 4 3 2 5 4 sin(x) + cos(x) + 1 +--R (- 8b + 15a b - 10a b + 3a )cos(x) log(-------------------) +--R cos(x) + 1 +--R + +--R 5 4 3 2 5 4 sin(x) - cos(x) - 1 +--R (- 8b - 15a b + 10a b - 3a )cos(x) log(-------------------) +--R cos(x) + 1 +--R + +--R 5 4 2 +--R 8b cos(x) log(----------) +--R cos(x) + 1 +--R + +--R 4 3 2 5 2 4 3 2 5 +--R ((- 25a b - 10a b + 3a )cos(x) + 10a b + 20a b + 2a )sin(x) +--R + +--R 5 2 3 4 4 5 2 3 2 5 2 3 +--R (6b + 20a b - 10a b)cos(x) + (- 8b - 40a b )cos(x) + 2b + 20a b +--R + +--R 4 +--R 10a b +--R / +--R 4 +--R 8cos(x) +--R Type: Union(Expression Integer,...) +--E 106 + +--S 107 of 532 +m0719:= a0719-r0719 +--R +--R +--R (99) +--R 5 4 3 2 5 4 4 +--R (8b - 15a b + 10a b - 3a )cos(x) sin(x) +--R + +--R 5 4 3 2 5 4 2 +--R (- 16b + 30a b - 20a b + 6a )cos(x) sin(x) +--R + +--R 5 4 3 2 5 4 +--R (8b - 15a b + 10a b - 3a )cos(x) +--R * +--R log(sin(x) + 1) +--R + +--R 5 4 3 2 5 4 4 +--R (- 16b + 30a b - 20a b + 6a )cos(x) sin(x) +--R + +--R 5 4 3 2 5 4 2 +--R (32b - 60a b + 40a b - 12a )cos(x) sin(x) +--R + +--R 5 4 3 2 5 4 +--R (- 16b + 30a b - 20a b + 6a )cos(x) +--R * +--R sin(x) + cos(x) + 1 +--R log(-------------------) +--R cos(x) + 1 +--R + +--R 5 4 3 2 5 4 4 +--R (- 16b - 30a b + 20a b - 6a )cos(x) sin(x) +--R + +--R 5 4 3 2 5 4 2 +--R (32b + 60a b - 40a b + 12a )cos(x) sin(x) +--R + +--R 5 4 3 2 5 4 +--R (- 16b - 30a b + 20a b - 6a )cos(x) +--R * +--R sin(x) - cos(x) - 1 +--R log(-------------------) +--R cos(x) + 1 +--R + +--R 5 4 4 5 4 2 5 4 2 +--R (16b cos(x) sin(x) - 32b cos(x) sin(x) + 16b cos(x) )log(----------) +--R cos(x) + 1 +--R + +--R 5 4 3 2 5 4 4 +--R (8b + 15a b - 10a b + 3a )cos(x) sin(x) +--R + +--R 5 4 3 2 5 4 2 +--R (- 16b - 30a b + 20a b - 6a )cos(x) sin(x) +--R + +--R 5 4 3 2 5 4 +--R (8b + 15a b - 10a b + 3a )cos(x) +--R * +--R log(- sin(x) + 1) +--R + +--R 4 3 2 5 2 4 3 2 5 5 +--R ((- 50a b - 20a b + 6a )cos(x) + 20a b + 40a b + 4a )sin(x) +--R + +--R 5 2 3 4 4 5 2 3 2 5 +--R (12b + 40a b - 20a b)cos(x) + (- 16b - 80a b )cos(x) + 4b +--R + +--R 2 3 4 +--R 40a b + 20a b +--R * +--R 4 +--R sin(x) +--R + +--R 4 3 2 5 4 4 3 2 5 2 +--R (- 50a b - 20a b + 6a )cos(x) + (100a b + 40a b - 12a )cos(x) +--R + +--R 4 3 2 5 +--R - 40a b - 80a b - 8a +--R * +--R 3 +--R sin(x) +--R + +--R 5 2 3 4 4 5 2 3 2 5 +--R (- 40b - 160a b + 40a b)cos(x) + (32b + 160a b )cos(x) - 8b +--R + +--R 2 3 4 +--R - 80a b - 40a b +--R * +--R 2 +--R sin(x) +--R + +--R 4 3 2 5 4 4 3 2 5 2 +--R (30a b - 20a b - 10a )cos(x) + (- 50a b - 20a b + 6a )cos(x) +--R + +--R 4 3 2 5 +--R 20a b + 40a b + 4a +--R * +--R sin(x) +--R + +--R 5 2 3 4 4 5 2 3 2 5 2 3 +--R (24b + 80a b - 40a b)cos(x) + (- 16b - 80a b )cos(x) + 4b + 40a b +--R + +--R 4 +--R 20a b +--R / +--R 4 4 4 2 4 +--R 16cos(x) sin(x) - 32cos(x) sin(x) + 16cos(x) +--R Type: Expression Integer +--E 107 + +--S 108 of 532 +d0719:= D(m0719,x) +--R +--R +--R (100) +--R 4 3 2 5 3 4 3 2 5 2 +--R (- 50a b - 20a b + 6a )cos(x) + (- 50a b - 20a b + 6a )cos(x) +--R + +--R 4 3 2 5 4 3 2 5 +--R (40a b + 80a b + 8a )cos(x) + 40a b + 80a b + 8a +--R * +--R 10 +--R sin(x) +--R + +--R 5 5 5 2 3 3 5 2 3 2 +--R - 8b cos(x) + (- 16b - 80a b )cos(x) + (- 16b - 80a b )cos(x) +--R + +--R 5 2 3 4 5 2 3 4 +--R (8b + 80a b + 40a b)cos(x) + 8b + 80a b + 40a b +--R * +--R 9 +--R sin(x) +--R + +--R 4 3 2 5 6 4 3 2 5 5 +--R (- 30a b + 20a b - 6a )cos(x) + (- 5a b + 30a b - 9a )cos(x) +--R + +--R 4 3 2 5 4 4 3 2 5 3 +--R (125a b + 50a b - 15a )cos(x) + (270a b + 60a b - 42a )cos(x) +--R + +--R 4 3 2 5 2 4 3 2 5 +--R (90a b - 140a b - 46a )cos(x) + (- 240a b - 480a b - 48a )cos(x) +--R + +--R 4 3 2 5 +--R - 160a b - 320a b - 32a +--R * +--R 8 +--R sin(x) +--R + +--R 5 7 5 6 5 2 3 5 +--R - 16b cos(x) - 24b cos(x) + (32b + 80a b )cos(x) +--R + +--R 5 2 3 4 5 2 3 4 3 +--R (48b + 240a b )cos(x) + (88b + 400a b - 40a b)cos(x) +--R + +--R 5 2 3 4 2 5 2 3 4 +--R (40b + 80a b - 120a b)cos(x) + (- 48b - 480a b - 240a b)cos(x) +--R + +--R 5 2 3 4 +--R - 32b - 320a b - 160a b +--R * +--R 7 +--R sin(x) +--R + +--R 4 3 2 5 8 4 3 2 5 7 +--R (- 30a b + 20a b - 6a )cos(x) + (5a b + 50a b - 15a )cos(x) +--R + +--R 4 3 2 5 6 4 3 2 5 5 +--R (175a b - 10a b + 3a )cos(x) + (80a b - 80a b + 16a )cos(x) +--R + +--R 4 3 2 5 4 +--R (- 380a b - 200a b + 36a )cos(x) +--R + +--R 4 3 2 5 3 +--R (- 540a b - 120a b + 84a )cos(x) +--R + +--R 4 3 2 5 2 4 3 2 5 +--R (20a b + 520a b + 100a )cos(x) + (480a b + 960a b + 96a )cos(x) +--R + +--R 4 3 2 5 +--R 240a b + 480a b + 48a +--R * +--R 6 +--R sin(x) +--R + +--R 5 9 5 8 5 2 3 7 +--R - 8b cos(x) - 24b cos(x) + (48b + 80a b )cos(x) +--R + +--R 5 2 3 6 5 2 3 5 +--R (88b + 80a b )cos(x) + (- 48b - 240a b )cos(x) +--R + +--R 5 2 3 4 5 2 3 4 3 +--R (- 144b - 720a b )cos(x) + (- 168b - 720a b + 120a b)cos(x) +--R + +--R 5 2 3 4 2 5 2 3 4 +--R (- 24b + 240a b + 360a b)cos(x) + (96b + 960a b + 480a b)cos(x) +--R + +--R 5 2 3 4 +--R 48b + 480a b + 240a b +--R * +--R 5 +--R sin(x) +--R + +--R 4 9 4 3 2 5 8 +--R - 40a b cos(x) + (- 30a b - 60a b + 18a )cos(x) +--R + +--R 4 3 2 5 7 +--R (- 15a b - 70a b + 45a )cos(x) +--R + +--R 4 3 2 5 6 +--R (- 265a b - 10a b + 27a )cos(x) +--R + +--R 4 3 2 5 5 4 3 2 5 4 +--R (- 210a b + 60a b + 6a )cos(x) + (390a b + 300a b - 18a )cos(x) +--R + +--R 4 3 2 5 3 +--R (500a b + 200a b - 60a )cos(x) +--R + +--R 4 3 2 5 2 +--R (- 100a b - 520a b - 84a )cos(x) +--R + +--R 4 3 2 5 4 3 2 5 +--R (- 400a b - 800a b - 80a )cos(x) - 160a b - 320a b - 32a +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 9 2 3 8 5 2 3 4 7 +--R - 80a b cos(x) - 240a b cos(x) + (- 72b - 240a b + 40a b)cos(x) +--R + +--R 5 2 3 4 6 5 2 3 5 +--R (- 96b - 80a b + 40a b)cos(x) + (32b + 240a b )cos(x) +--R + +--R 5 2 3 4 5 2 3 4 3 +--R (144b + 720a b )cos(x) + (136b + 560a b - 120a b)cos(x) +--R + +--R 5 2 3 4 2 5 2 3 4 +--R (- 8b - 400a b - 360a b)cos(x) + (- 80b - 800a b - 400a b)cos(x) +--R + +--R 5 2 3 4 +--R - 32b - 320a b - 160a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 9 4 3 2 5 8 +--R - 80a b cos(x) + (- 90a b - 180a b - 18a )cos(x) +--R + +--R 4 3 2 5 7 4 3 2 5 6 +--R (- 105a b - 90a b - 37a )cos(x) + (165a b + 50a b - 31a )cos(x) +--R + +--R 4 5 5 4 3 2 5 4 +--R (200a b - 24a )cos(x) + (- 140a b - 200a b - 12a )cos(x) +--R + +--R 4 3 2 5 3 4 3 2 5 2 +--R (- 210a b - 180a b + 6a )cos(x) + (30a b + 140a b + 22a )cos(x) +--R + +--R 4 3 2 5 4 3 2 5 +--R (120a b + 240a b + 24a )cos(x) + 40a b + 80a b + 8a +--R * +--R 2 +--R sin(x) +--R + +--R 4 9 4 8 5 4 7 +--R - 40a b cos(x) - 120a b cos(x) + (24b - 120a b)cos(x) +--R + +--R 5 4 6 5 2 3 5 +--R (32b - 40a b)cos(x) + (- 8b - 80a b )cos(x) +--R + +--R 5 2 3 4 5 2 3 4 3 +--R (- 48b - 240a b )cos(x) + (- 40b - 160a b + 40a b)cos(x) +--R + +--R 5 2 3 4 2 5 2 3 4 +--R (8b + 160a b + 120a b)cos(x) + (24b + 240a b + 120a b)cos(x) +--R + +--R 5 2 3 4 +--R 8b + 80a b + 40a b +--R * +--R sin(x) +--R + +--R 5 9 4 3 2 5 8 +--R - 8a cos(x) + (30a b - 20a b - 18a )cos(x) +--R + +--R 4 3 2 5 7 4 3 2 5 6 +--R (35a b - 50a b - 9a )cos(x) + (- 45a b - 50a b + 7a )cos(x) +--R + +--R 4 3 2 5 5 4 3 2 5 4 +--R (- 65a b - 10a b + 11a )cos(x) + (5a b + 50a b + 9a )cos(x) +--R + +--R 4 3 2 5 3 4 3 2 5 2 +--R (30a b + 60a b + 6a )cos(x) + (10a b + 20a b + 2a )cos(x) +--R / +--R 6 5 8 +--R (8cos(x) + 8cos(x) )sin(x) +--R + +--R 8 7 6 5 6 +--R (- 8cos(x) - 24cos(x) - 48cos(x) - 32cos(x) )sin(x) +--R + +--R 8 7 6 5 4 +--R (24cos(x) + 72cos(x) + 96cos(x) + 48cos(x) )sin(x) +--R + +--R 8 7 6 5 2 8 +--R (- 24cos(x) - 72cos(x) - 80cos(x) - 32cos(x) )sin(x) + 8cos(x) +--R + +--R 7 6 5 +--R 24cos(x) + 24cos(x) + 8cos(x) +--R Type: Expression Integer +--E 108 + +--S 109 of 532 +t0720:= 1/(a*sec(x)+b*tan(x))^2 +--R +--R +--R 1 +--R (101) ----------------------------------------- +--R 2 2 2 2 +--R b tan(x) + 2a b sec(x)tan(x) + a sec(x) +--R Type: Expression Integer +--E 109 + +--S 110 of 532 +r0720:= -x/b^2+2*a*atan((b+a*tan(1/2*x))/(a^2-b^2)^(1/2))/b^2/(a^2-b^2)^(1/2)-cos(x)/b/(a+b*sin(x)) +--R +--R +--R (102) +--R x +--R a tan(-) + b +--R 2 2 +--R (2a b sin(x) + 2a )atan(------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R | 2 2 +--R (- b x sin(x) - b cos(x) - a x)\|- b + a +--R / +--R +---------+ +--R 3 2 | 2 2 +--R (b sin(x) + a b )\|- b + a +--R Type: Expression Integer +--E 110 + +--S 111 of 532 +a0720:= integrate(t0720,x) +--R +--R +--R (103) +--R [ +--R 2 3 +--R (a b sin(x) + a ) +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(x) + (b - a )cos(x) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (- a b + a )sin(x) + (- b + a b)cos(x) - b + a b +--R / +--R b sin(x) + a +--R + +--R +-------+ +--R 2 2 | 2 2 +--R ((- a b x - b )sin(x) - a b cos(x) - a x - a b)\|b - a +--R / +--R +-------+ +--R 3 2 2 | 2 2 +--R (a b sin(x) + a b )\|b - a +--R , +--R +--R +---------+ +--R | 2 2 +--R 2 3 (a sin(x) + b cos(x) + b)\|- b + a +--R (- 2a b sin(x) - 2a )atan(-------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(x) + b - a +--R + +--R +---------+ +--R 2 2 | 2 2 +--R ((- a b x - b )sin(x) - a b cos(x) - a x - a b)\|- b + a +--R / +--R +---------+ +--R 3 2 2 | 2 2 +--R (a b sin(x) + a b )\|- b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 111 + +--S 112 of 532 +m0720a:= a0720.1-r0720 +--R +--R +--R (104) +--R +---------+ +--R 2 | 2 2 +--R a \|- b + a +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(x) + (b - a )cos(x) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (- a b + a )sin(x) + (- b + a b)cos(x) - b + a b +--R / +--R b sin(x) + a +--R + +--R x +--R +-------+ a tan(-) + b +---------+ +-------+ +--R 2 | 2 2 2 | 2 2 | 2 2 +--R - 2a \|b - a atan(------------) - b\|- b + a \|b - a +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +-------+ +--R 2 | 2 2 | 2 2 +--R a b \|- b + a \|b - a +--R Type: Expression Integer +--E 112 + +--S 113 of 532 +d0720a:= D(m0720a,x) +--R +--R +--R (105) +--R 2 3 2 2 2 2 x 2 +--R (((- a b + a )cos(x) - a b )sin(x) + a b cos(x) - a b)tan(-) +--R 2 +--R + +--R 2 2 2 2 2 2 3 +--R (2a b sin(x) + 2a b sin(x) + 2a b cos(x) + (2a b - 2a )cos(x)) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 3 2 2 2 2 +--R ((- a b + a )cos(x) - a b )sin(x) + a b cos(x) - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 3 3 3 3 2 2 4 2 2 2 +--R ((a b - a b)cos(x) + a b - a b)sin(x) + (- a b + a )cos(x) + a b +--R + +--R 4 +--R - a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 3 2 2 2 4 +--R (- 2a b + 2a b)sin(x) + (- 2a b + 2a )sin(x) +--R + +--R 3 3 2 3 3 +--R (- 2a b + 2a b)cos(x) + (- 2a b + 2a b)cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 3 3 3 2 2 4 2 2 2 4 +--R ((a b - a b)cos(x) + a b - a b)sin(x) + (- a b + a )cos(x) + a b - a +--R / +--R 2 3 2 4 3 2 4 3 2 +--R a b sin(x) + ((a b - a b )cos(x) + a b + a b )sin(x) +--R + +--R 2 3 4 2 3 +--R (a b - a b)cos(x) + a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 2 5 2 3 5 2 3 +--R 2a b sin(x) + ((2b - 2a b )cos(x) + 2b + 2a b )sin(x) +--R + +--R 4 3 2 4 +--R (2a b - 2a b )cos(x) + 2a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 3 2 4 3 2 4 3 2 +--R a b sin(x) + ((a b - a b )cos(x) + a b + a b )sin(x) +--R + +--R 2 3 4 2 3 +--R (a b - a b)cos(x) + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 2 4 4 2 2 5 3 3 5 5 +--R (- a b + a b )sin(x) + ((- a b + a b )cos(x) - a b + a b)sin(x) +--R + +--R 2 4 4 2 2 4 4 2 +--R (- a b + a b )cos(x) - a b + a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 5 3 3 2 +--R (- 2a b + 2a b )sin(x) +--R + +--R 6 2 4 6 4 2 5 3 3 +--R ((- 2b + 2a b )cos(x) - 2b + 2a b )sin(x) + (- 2a b + 2a b )cos(x) +--R + +--R 5 3 3 +--R - 2a b + 2a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 4 4 2 2 5 3 3 5 5 +--R (- a b + a b )sin(x) + ((- a b + a b )cos(x) - a b + a b)sin(x) +--R + +--R 2 4 4 2 2 4 4 2 +--R (- a b + a b )cos(x) - a b + a b +--R Type: Expression Integer +--E 113 + +--S 114 of 532 +m0720b:= a0720.2-r0720 +--R +--R +--R (106) +--R +---------+ x +--R | 2 2 a tan(-) + b +--R 2 (a sin(x) + b cos(x) + b)\|- b + a 2 2 +--R - 2a atan(-------------------------------------) - 2a atan(------------) +--R 2 2 2 2 +---------+ +--R (b - a )cos(x) + b - a | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R | 2 2 +--R - b\|- b + a +--R / +--R +---------+ +--R 2 | 2 2 +--R a b \|- b + a +--R Type: Expression Integer +--E 114 + +--S 115 of 532 +d0720b:= D(m0720b,x) +--R +--R +--R (107) +--R 2 2 2 2 2 x 2 +--R (a sin(x) + (- 2a b cos(x) - 2a b)sin(x) + a cos(x) - a )tan(-) +--R 2 +--R + +--R 2 2 x 2 2 +--R (4a b sin(x) + 4a b cos(x) + 4a b cos(x))tan(-) + a sin(x) +--R 2 +--R + +--R 2 2 2 +--R (- 2a b cos(x) - 2a b)sin(x) + a cos(x) - a +--R / +--R 2 2 2 3 3 2 2 2 2 2 +--R a b sin(x) + (2a b cos(x) + 2a b )sin(x) + a b cos(x) + 2a b cos(x) +--R + +--R 2 2 +--R a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 4 4 3 2 3 +--R 2a b sin(x) + (4b cos(x) + 4b )sin(x) + 2a b cos(x) + 4a b cos(x) +--R + +--R 3 +--R 2a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 2 2 3 3 2 2 2 2 2 +--R a b sin(x) + (2a b cos(x) + 2a b )sin(x) + a b cos(x) + 2a b cos(x) +--R + +--R 2 2 +--R a b +--R Type: Expression Integer +--E 115 + +--S 116 of 532 +t0721:= 1/(a*sec(x)+b*tan(x))^4 +--R +--R +--R (108) +--R 1 +--R / +--R 4 4 3 3 2 2 2 2 3 3 +--R b tan(x) + 4a b sec(x)tan(x) + 6a b sec(x) tan(x) + 4a b sec(x) tan(x) +--R + +--R 4 4 +--R a sec(x) +--R Type: Expression Integer +--E 116 + +--S 117 of 532 +r0721:= x/b^4+2*a^3*atan((b+a*tan(1/2*x))/(a^2-b^2)^(1/2))/b^4/(a^2-b^2)^(3/2)-a*atan((b+a*tan(1/2*x))/(a^2-b^2)^(1/2))/b^2/(a^2-b^2)^(3/2)-4*a*atan((b+a*tan(1/2*x))/(a^2-b^2)^(1/2))/b^4/(a^2-b^2)^(1/2)+1/3*(a^2-b^2)*cos(x)/b^3/(a+b*sin(x))^3-7/6*a*cos(x)/b^3/(a+b*sin(x))^2+11/6*a^2*cos(x)/b^3/(a^2-b^2)/(a+b*sin(x))-4/3*cos(x)/b/(a^2-b^2)/(a+b*sin(x)) +--R +--R +--R (109) +--R 5 3 3 3 2 4 4 2 2 +--R (- 18a b + 12a b )sin(x) + (- 54a b + 36a b )sin(x) +--R + +--R 3 3 5 4 2 6 +--R (- 54a b + 36a b)sin(x) - 18a b + 12a +--R * +--R x +--R a tan(-) + b +--R 2 +--R atan(------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 5 2 3 3 +--R (6b - 6a b )x sin(x) +--R + +--R 5 2 3 4 3 2 2 +--R ((8b - 11a b )cos(x) + (18a b - 18a b )x)sin(x) +--R + +--R 4 3 2 2 3 4 +--R ((9a b - 15a b )cos(x) + (18a b - 18a b)x)sin(x) +--R + +--R 5 2 3 4 3 2 5 +--R (- 2b + 5a b - 6a b)cos(x) + (6a b - 6a )x +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 9 2 7 3 8 3 6 2 +--R (6b - 6a b )sin(x) + (18a b - 18a b )sin(x) +--R + +--R 2 7 4 5 3 6 5 4 +--R (18a b - 18a b )sin(x) + 6a b - 6a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 117 + +--S 118 of 532 +a0721:= integrate(t0721,x) +--R +--R +--R (110) +--R [ +--R 4 5 6 3 2 4 5 6 3 8 +--R ((9a b - 6a b )cos(x) - 9a b - 21a b + 18a b)sin(x) +--R + +--R 5 4 7 2 2 5 4 7 2 9 +--R (27a b - 18a b )cos(x) - 27a b + 9a b + 6a +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(x) + (b - a )cos(x) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (a b - a )sin(x) + (b - a b)cos(x) + b - a b +--R / +--R b sin(x) + a +--R + +--R 3 5 5 3 8 2 6 4 4 2 +--R ((6a b - 6a b )x - 2b + 5a b - 6a b )cos(x) +--R + +--R 4 4 6 2 3 5 5 3 7 8 +--R (- 9a b + 15a b )cos(x) + (- 6a b - 12a b + 18a b)x + 2b +--R + +--R 2 6 4 4 6 2 +--R a b - 9a b + 18a b +--R * +--R sin(x) +--R + +--R 3 5 5 3 3 +--R (8a b - 11a b )cos(x) +--R + +--R 4 4 6 2 7 3 5 5 3 2 +--R ((18a b - 18a b )x - 6a b + 15a b - 18a b )cos(x) +--R + +--R 3 5 5 3 7 4 4 6 2 8 7 +--R (- 6a b + 6a b + 6a b)cos(x) + (- 18a b + 12a b + 6a )x + 6a b +--R + +--R 3 5 5 3 7 +--R - 13a b + 13a b + 6a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R 3 9 5 7 2 3 9 5 7 7 5 +--R ((6a b - 6a b )cos(x) - 6a b - 12a b + 18a b )sin(x) +--R + +--R 4 8 6 6 2 4 8 6 6 8 4 +--R (18a b - 18a b )cos(x) - 18a b + 12a b + 6a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R , +--R +--R 4 5 6 3 2 4 5 6 3 8 +--R ((18a b - 12a b )cos(x) - 18a b - 42a b + 36a b)sin(x) +--R + +--R 5 4 7 2 2 5 4 7 2 9 +--R (54a b - 36a b )cos(x) - 54a b + 18a b + 12a +--R * +--R +---------+ +--R | 2 2 +--R (a sin(x) + b cos(x) + b)\|- b + a +--R atan(-------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(x) + b - a +--R + +--R 3 5 5 3 8 2 6 4 4 2 +--R ((6a b - 6a b )x - 2b + 5a b - 6a b )cos(x) +--R + +--R 4 4 6 2 3 5 5 3 7 8 +--R (- 9a b + 15a b )cos(x) + (- 6a b - 12a b + 18a b)x + 2b +--R + +--R 2 6 4 4 6 2 +--R a b - 9a b + 18a b +--R * +--R sin(x) +--R + +--R 3 5 5 3 3 +--R (8a b - 11a b )cos(x) +--R + +--R 4 4 6 2 7 3 5 5 3 2 +--R ((18a b - 18a b )x - 6a b + 15a b - 18a b )cos(x) +--R + +--R 3 5 5 3 7 4 4 6 2 8 7 +--R (- 6a b + 6a b + 6a b)cos(x) + (- 18a b + 12a b + 6a )x + 6a b +--R + +--R 3 5 5 3 7 +--R - 13a b + 13a b + 6a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 3 9 5 7 2 3 9 5 7 7 5 +--R ((6a b - 6a b )cos(x) - 6a b - 12a b + 18a b )sin(x) +--R + +--R 4 8 6 6 2 4 8 6 6 8 4 +--R (18a b - 18a b )cos(x) - 18a b + 12a b + 6a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 118 + +--S 119 of 532 +m0721a:= a0721.1-r0721 +--R +--R +--R (111) +--R 4 8 6 6 2 4 8 6 6 8 4 4 +--R ((9a b - 6a b )cos(x) - 9a b - 21a b + 18a b )sin(x) +--R + +--R 5 7 7 5 2 5 7 7 5 9 3 3 +--R ((54a b - 36a b )cos(x) - 54a b - 54a b + 60a b )sin(x) +--R + +--R 6 6 8 4 2 6 6 8 4 10 2 2 +--R ((108a b - 72a b )cos(x) - 108a b - 36a b + 72a b )sin(x) +--R + +--R 7 5 9 3 2 7 5 9 3 11 +--R ((90a b - 60a b )cos(x) - 90a b + 6a b + 36a b)sin(x) +--R + +--R 8 4 10 2 2 8 4 10 2 12 +--R (27a b - 18a b )cos(x) - 27a b + 9a b + 6a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(x) + (b - a )cos(x) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (a b - a )sin(x) + (b - a b)cos(x) + b - a b +--R / +--R b sin(x) + a +--R + +--R 4 8 6 6 2 4 8 6 6 8 4 4 +--R ((18a b - 12a b )cos(x) - 18a b - 42a b + 36a b )sin(x) +--R + +--R 5 7 7 5 2 5 7 7 5 9 3 3 +--R ((108a b - 72a b )cos(x) - 108a b - 108a b + 120a b )sin(x) +--R + +--R 6 6 8 4 2 6 6 8 4 10 2 2 +--R ((216a b - 144a b )cos(x) - 216a b - 72a b + 144a b )sin(x) +--R + +--R 7 5 9 3 2 7 5 9 3 11 +--R ((180a b - 120a b )cos(x) - 180a b + 12a b + 72a b)sin(x) +--R + +--R 8 4 10 2 2 8 4 10 2 12 +--R (54a b - 36a b )cos(x) - 54a b + 18a b + 12a +--R * +--R x +--R +-------+ a tan(-) + b +--R | 2 2 2 +--R \|b - a atan(------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 11 2 9 4 7 2 4 7 6 5 11 +--R (- 2b + 5a b - 6a b )cos(x) + (- 9a b + 15a b )cos(x) + 2b +--R + +--R 2 9 4 7 6 5 +--R a b - 9a b + 18a b +--R * +--R 4 +--R sin(x) +--R + +--R 10 3 8 5 6 2 +--R (- 12a b + 30a b - 36a b )cos(x) +--R + +--R 3 8 5 6 7 4 10 3 8 5 6 7 4 +--R (2a b - 8a b + 18a b )cos(x) + 12a b - 10a b - 14a b + 60a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 7 6 5 3 2 9 4 7 6 5 2 +--R (- 9a b + 15a b )cos(x) + (- 24a b + 60a b - 72a b )cos(x) +--R + +--R 4 7 6 5 8 3 2 9 4 7 6 5 8 3 +--R (15a b - 22a b + 7a b )cos(x) + 24a b - 36a b + 12a b + 72a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 8 5 6 7 4 3 +--R (2a b - 8a b + 18a b )cos(x) +--R + +--R 3 8 5 6 7 4 2 +--R (- 20a b + 50a b - 60a b )cos(x) +--R + +--R 3 8 5 6 7 4 3 8 5 6 7 4 +--R (- 2a b + 8a b - 18a b )cos(x) + 20a b - 38a b + 30a b +--R + +--R 9 2 +--R 36a b +--R * +--R sin(x) +--R + +--R 4 7 6 5 8 3 3 4 7 6 5 8 3 2 +--R (6a b - 7a b + 7a b )cos(x) + (- 6a b + 15a b - 18a b )cos(x) +--R + +--R 4 7 6 5 8 3 4 7 6 5 8 3 10 +--R (- 6a b + 7a b - 7a b )cos(x) + 6a b - 13a b + 13a b + 6a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R / +--R 3 12 5 10 2 3 12 5 10 7 8 4 +--R ((6a b - 6a b )cos(x) - 6a b - 12a b + 18a b )sin(x) +--R + +--R 4 11 6 9 2 4 11 6 9 8 7 3 +--R ((36a b - 36a b )cos(x) - 36a b - 24a b + 60a b )sin(x) +--R + +--R 5 10 7 8 2 5 10 9 6 2 +--R ((72a b - 72a b )cos(x) - 72a b + 72a b )sin(x) +--R + +--R 6 9 8 7 2 6 9 8 7 10 5 +--R ((60a b - 60a b )cos(x) - 60a b + 24a b + 36a b )sin(x) +--R + +--R 7 8 9 6 2 7 8 9 6 11 4 +--R (18a b - 18a b )cos(x) - 18a b + 12a b + 6a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R Type: Expression Integer +--E 119 + +--S 120 of 532 +d0721a:= D(m0721a,x) +--R +--R +--R (112) +--R 3 11 5 9 2 3 11 5 9 7 7 8 +--R ((- 9a b + 15a b )cos(x) - 9a b - 12a b + 45a b )sin(x) +--R + +--R 2 12 4 10 6 8 3 +--R (- 9a b + 24a b - 15a b )cos(x) +--R + +--R 2 12 4 10 6 8 2 +--R (- 7a b - 29a b + 78a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 2 12 +--R (- 9a b - 3a b + 57a b - 45a b )cos(x) - 7a b +--R + +--R 4 10 6 8 8 6 +--R - 50a b + 63a b + 114a b +--R * +--R 7 +--R sin(x) +--R + +--R 13 3 11 5 9 5 +--R (9a b - 15a b + 6a b )cos(x) +--R + +--R 13 3 11 5 9 4 +--R (9a b + 3a b - 15a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 3 +--R (- 16a b - 70a b + 200a b - 114a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 2 +--R (- 16a b - 90a b - 3a b + 259a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 13 +--R (11a b - a b + 53a b - 3a b - 60a b )cos(x) + 11a b +--R + +--R 3 11 5 9 7 7 9 5 +--R 33a b + 35a b + 77a b + 108a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 12 4 10 6 +--R (- 9a b + 6a b )cos(x) +--R + +--R 2 12 4 10 6 8 5 +--R (90a b - 159a b + 69a b )cos(x) +--R + +--R 2 12 4 10 6 8 4 +--R (113a b - 35a b - 42a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 3 +--R (- 166a b - 185a b + 838a b - 487a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 2 +--R (- 187a b - 429a b + 396a b + 382a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (104a b + 156a b - 174a b - 176a b + 90a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R 111a b + 376a b + 87a b - 212a b + 46a b +--R * +--R 5 +--R sin(x) +--R + +--R 3 11 5 9 6 +--R (- 63a b + 24a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 5 +--R (- 4a b + 272a b - 454a b + 186a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 4 +--R (- 4a b + 453a b - 44a b - 60a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 3 +--R (6a b - 534a b + 50a b + 1310a b - 832a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 2 +--R (6a b - 717a b - 878a b + 782a b + 417a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R - 2a b + 340a b + 194a b - 690a b - 72a b +--R + +--R 11 3 +--R 230a b +--R * +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R - 2a b + 405a b + 878a b - 166a b - 522a b + 7a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 12 4 10 6 8 7 +--R (18a b - 48a b + 30a b )cos(x) +--R + +--R 2 12 4 10 6 8 6 +--R (12a b - 258a b + 96a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 5 +--R (- 58a b + 434a b - 484a b + 108a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 4 +--R (- 46a b + 1096a b + 216a b - 306a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 3 +--R (54a b - 760a b + 293a b + 1136a b - 723a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 2 +--R (48a b - 1438a b - 1401a b + 1131a b + 346a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R - 14a b + 486a b - 69a b - 731a b + 155a b +--R + +--R 12 2 +--R 173a b +--R * +--R cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R - 14a b + 712a b + 1005a b - 464a b - 495a b +--R * +--R 3 +--R sin(x) +--R + +--R 13 3 11 5 9 7 7 7 +--R (- 6a b + 48a b - 126a b + 84a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 6 +--R (- 6a b + 6a b - 476a b + 230a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 5 +--R (12a b - 102a b + 495a b - 405a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 4 +--R (12a b - 18a b + 1697a b - 83a b - 393a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R - 6a b + 84a b - 688a b + 478a b + 430a b +--R + +--R 11 3 +--R - 298a b +--R * +--R 3 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R - 6a b + 42a b - 1906a b - 774a b + 939a b +--R + +--R 11 3 +--R 187a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R - 30a b + 353a b - 225a b - 291a b + 139a b +--R + +--R 13 +--R 54a b +--R * +--R cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R - 30a b + 719a b + 593a b - 441a b - 241a b +--R * +--R 2 +--R sin(x) +--R + +--R 2 12 4 10 6 8 8 6 7 +--R (- 36a b + 58a b - 68a b + 46a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 6 +--R (- 36a b - 32a b - 297a b + 182a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 5 +--R (72a b - 22a b + 20a b - 13a b - 57a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 4 +--R (72a b + 158a b + 903a b - 197a b - 204a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (- 36a b - 18a b - 66a b + 77a b + 86a b - 43a b ) +--R * +--R 3 +--R cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R - 36a b - 108a b - 999a b - 115a b + 394a b +--R + +--R 12 2 +--R 54a b +--R * +--R 2 +--R cos(x) +--R + +--R 4 10 6 8 8 6 10 4 12 2 14 +--R (- 18a b + 114a b - 110a b - 20a b + 28a b + 6a ) +--R * +--R cos(x) +--R + +--R 4 10 6 8 8 6 10 4 12 2 +--R - 18a b + 393a b + 130a b - 181a b - 60a b +--R * +--R sin(x) +--R + +--R 3 11 5 9 7 7 9 5 7 +--R (- 54a b + 100a b - 62a b + 16a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 6 +--R (- 54a b + 46a b - 97a b + 54a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 5 +--R (108a b - 166a b + 56a b + 26a b - 24a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 4 +--R (108a b - 58a b + 241a b - 84a b - 36a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 3 +--R (- 54a b + 66a b + 6a b - 42a b + 24a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 2 +--R (- 54a b + 12a b - 225a b + 30a b + 63a b + 6a b)cos(x) +--R + +--R 7 7 11 3 13 +--R 81a b - 27a b - 6a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 12 4 10 2 2 12 4 10 6 8 +--R ((- 18a b + 30a b )cos(x) - 18a b - 24a b + 90a b ) +--R * +--R 8 +--R sin(x) +--R + +--R 13 3 11 4 +--R (- 18a b + 12a b )cos(x) +--R + +--R 13 3 11 5 9 3 +--R (- 18a b + 48a b - 30a b )cos(x) +--R + +--R 13 3 11 5 9 2 +--R (22a b + 26a b + 84a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 13 +--R (- 18a b - 6a b + 114a b - 90a b )cos(x) - 32a b +--R + +--R 3 11 5 9 7 7 +--R - 196a b + 36a b + 336a b +--R * +--R 7 +--R sin(x) +--R + +--R 2 12 4 10 4 +--R (- 162a b + 90a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 3 +--R (4b - 92a b + 244a b - 156a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 2 +--R (4b + 264a b + 474a b - 10a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 14 +--R (4b - 80a b + 112a b + 192a b - 228a b )cos(x) + 4b +--R + +--R 2 12 4 10 6 8 8 6 +--R - 210a b - 692a b + 34a b + 720a b +--R * +--R 6 +--R sin(x) +--R + +--R 13 3 11 6 3 11 5 9 5 +--R (- 18a b + 12a b )cos(x) + (- 18a b + 18a b )cos(x) +--R + +--R 13 3 11 5 9 4 +--R (46a b - 652a b + 384a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 3 +--R (28a b - 178a b + 596a b - 446a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 2 +--R (- 14a b + 1098a b + 1524a b - 700a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (28a b - 180a b + 96a b + 380a b - 324a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R 42a b - 622a b - 1782a b + 122a b + 1040a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 12 4 10 6 +--R (- 126a b + 48a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 5 +--R (- 8b - 158a b + 262a b - 96a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 4 +--R (- 8b + 204a b - 988a b + 792a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 3 +--R (12b + 336a b - 44a b - 104a b - 200a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 2 +--R (12b - 30a b + 2240a b + 1300a b - 1182a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 +--R - 4b - 22a b - 638a b + 390a b + 762a b +--R + +--R 10 4 +--R - 488a b +--R * +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R - 4b + 108a b - 1340a b - 2402a b + 552a b + 926a b +--R * +--R 4 +--R sin(x) +--R + +--R 13 3 11 5 9 7 +--R (36a b - 96a b + 60a b )cos(x) +--R + +--R 13 3 11 5 9 6 +--R (24a b - 516a b + 192a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 5 +--R (- 116a b - 500a b + 1312a b - 696a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 4 +--R (- 92a b + 824a b - 78a b + 336a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 3 +--R (108a b + 1216a b - 950a b - 944a b + 570a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 2 +--R (96a b - 140a b + 1242a b + 546a b - 772a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R - 28a b - 396a b - 882a b + 1298a b + 574a b +--R + +--R 11 3 +--R - 566a b +--R * +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R - 28a b + 56a b - 1524a b - 1528a b + 684a b + 468a b +--R * +--R 3 +--R sin(x) +--R + +--R 14 2 12 4 10 6 8 7 +--R (- 12b + 96a b - 252a b + 168a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 6 +--R (- 12b + 12a b - 952a b + 460a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 5 +--R (24b - 204a b - 432a b + 1560a b - 948a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 4 +--R (24b - 36a b + 1972a b + 26a b - 282a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 +--R - 12b + 168a b + 1468a b - 1588a b - 904a b +--R + +--R 10 4 +--R 868a b +--R * +--R 3 +--R cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 +--R - 12b + 84a b - 968a b + 264a b + 198a b +--R + +--R 10 4 +--R - 154a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R - 60a b - 716a b - 276a b + 1428a b - 16a b +--R + +--R 12 2 +--R - 360a b +--R * +--R cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R - 60a b + 16a b - 818a b - 408a b + 334a b + 120a b +--R * +--R 2 +--R sin(x) +--R + +--R 13 3 11 5 9 7 7 7 +--R (- 72a b + 116a b - 136a b + 92a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 6 +--R (- 72a b - 64a b - 594a b + 364a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 5 +--R (144a b - 44a b - 716a b + 1234a b - 618a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 4 +--R (144a b + 316a b + 1050a b - 52a b - 300a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R - 72a b - 36a b + 1380a b - 1574a b - 140a b +--R + +--R 11 3 +--R 442a b +--R * +--R 3 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R - 72a b - 216a b - 486a b - 122a b + 152a b +--R + +--R 11 3 +--R 36a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R - 36a b - 528a b + 248a b + 596a b - 172a b +--R + +--R 13 +--R - 108a b +--R * +--R cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R - 36a b + 30a b - 190a b - 14a b + 54a b + 12a b +--R * +--R sin(x) +--R + +--R 2 12 4 10 6 8 8 6 7 +--R (- 108a b + 200a b - 124a b + 32a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 6 +--R (- 108a b + 92a b - 194a b + 108a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 5 +--R (216a b - 332a b - 50a b + 322a b - 156a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 4 +--R (216a b - 116a b + 320a b - 60a b - 72a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (- 108a b + 132a b + 336a b - 516a b + 84a b + 72a b ) +--R * +--R 3 +--R cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (- 108a b + 24a b - 126a b - 48a b + 54a b + 12a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 6 8 8 6 10 4 12 2 14 +--R (- 162a b + 162a b + 54a b - 42a b - 12a )cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 11 5 9 2 3 11 5 9 7 7 8 +--R ((- 9a b + 15a b )cos(x) - 9a b - 12a b + 45a b )sin(x) +--R + +--R 2 12 4 10 6 8 3 +--R (- 9a b + 24a b - 15a b )cos(x) +--R + +--R 2 12 4 10 6 8 2 +--R (- 7a b - 29a b + 78a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 2 12 4 10 +--R (- 9a b - 3a b + 57a b - 45a b )cos(x) - 7a b - 50a b +--R + +--R 6 8 8 6 +--R 63a b + 114a b +--R * +--R 7 +--R sin(x) +--R + +--R 13 3 11 5 9 5 +--R (9a b - 15a b + 6a b )cos(x) +--R + +--R 13 3 11 5 9 4 +--R (9a b + 3a b - 15a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 3 +--R (- 16a b - 70a b + 200a b - 114a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 2 +--R (- 16a b - 90a b - 3a b + 259a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 13 +--R (11a b - a b + 53a b - 3a b - 60a b )cos(x) + 11a b +--R + +--R 3 11 5 9 7 7 9 5 +--R 33a b + 35a b + 77a b + 108a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 12 4 10 6 2 12 4 10 6 8 5 +--R (- 9a b + 6a b )cos(x) + (90a b - 159a b + 69a b )cos(x) +--R + +--R 2 12 4 10 6 8 4 +--R (113a b - 35a b - 42a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 3 +--R (- 166a b - 185a b + 838a b - 487a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 2 +--R (- 187a b - 429a b + 396a b + 382a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (104a b + 156a b - 174a b - 176a b + 90a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R 111a b + 376a b + 87a b - 212a b + 46a b +--R * +--R 5 +--R sin(x) +--R + +--R 3 11 5 9 6 +--R (- 63a b + 24a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 5 +--R (- 4a b + 272a b - 454a b + 186a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 4 +--R (- 4a b + 453a b - 44a b - 60a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 3 +--R (6a b - 534a b + 50a b + 1310a b - 832a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 2 +--R (6a b - 717a b - 878a b + 782a b + 417a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (- 2a b + 340a b + 194a b - 690a b - 72a b + 230a b ) +--R * +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R - 2a b + 405a b + 878a b - 166a b - 522a b + 7a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 12 4 10 6 8 7 +--R (18a b - 48a b + 30a b )cos(x) +--R + +--R 2 12 4 10 6 8 6 +--R (12a b - 258a b + 96a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 5 +--R (- 58a b + 434a b - 484a b + 108a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 4 +--R (- 46a b + 1096a b + 216a b - 306a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 3 +--R (54a b - 760a b + 293a b + 1136a b - 723a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 2 +--R (48a b - 1438a b - 1401a b + 1131a b + 346a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (- 14a b + 486a b - 69a b - 731a b + 155a b + 173a b ) +--R * +--R cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R - 14a b + 712a b + 1005a b - 464a b - 495a b +--R * +--R 3 +--R sin(x) +--R + +--R 13 3 11 5 9 7 7 7 +--R (- 6a b + 48a b - 126a b + 84a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 6 +--R (- 6a b + 6a b - 476a b + 230a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 5 +--R (12a b - 102a b + 495a b - 405a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 4 +--R (12a b - 18a b + 1697a b - 83a b - 393a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (- 6a b + 84a b - 688a b + 478a b + 430a b - 298a b ) +--R * +--R 3 +--R cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (- 6a b + 42a b - 1906a b - 774a b + 939a b + 187a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R (- 30a b + 353a b - 225a b - 291a b + 139a b + 54a b) +--R * +--R cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R - 30a b + 719a b + 593a b - 441a b - 241a b +--R * +--R 2 +--R sin(x) +--R + +--R 2 12 4 10 6 8 8 6 7 +--R (- 36a b + 58a b - 68a b + 46a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 6 +--R (- 36a b - 32a b - 297a b + 182a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 5 +--R (72a b - 22a b + 20a b - 13a b - 57a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 4 +--R (72a b + 158a b + 903a b - 197a b - 204a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (- 36a b - 18a b - 66a b + 77a b + 86a b - 43a b ) +--R * +--R 3 +--R cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (- 36a b - 108a b - 999a b - 115a b + 394a b + 54a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 4 10 6 8 8 6 10 4 12 2 14 +--R (- 18a b + 114a b - 110a b - 20a b + 28a b + 6a )cos(x) +--R + +--R 4 10 6 8 8 6 10 4 12 2 +--R - 18a b + 393a b + 130a b - 181a b - 60a b +--R * +--R sin(x) +--R + +--R 3 11 5 9 7 7 9 5 7 +--R (- 54a b + 100a b - 62a b + 16a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 6 +--R (- 54a b + 46a b - 97a b + 54a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 5 +--R (108a b - 166a b + 56a b + 26a b - 24a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 4 +--R (108a b - 58a b + 241a b - 84a b - 36a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 3 +--R (- 54a b + 66a b + 6a b - 42a b + 24a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 2 +--R (- 54a b + 12a b - 225a b + 30a b + 63a b + 6a b)cos(x) +--R + +--R 7 7 11 3 13 +--R 81a b - 27a b - 6a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 3 12 5 10 7 8 2 3 12 5 10 7 8 +--R (- 9a b + 24a b - 15a b )cos(x) - 9a b - 3a b + 57a b +--R + +--R 9 6 +--R - 45a b +--R * +--R 8 +--R sin(x) +--R + +--R 2 13 4 11 6 9 3 +--R (- 9a b + 24a b - 15a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 2 +--R (- 7a b - 22a b + 107a b - 78a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 2 13 4 11 +--R (- 9a b - 3a b + 57a b - 45a b )cos(x) - 7a b - 43a b +--R + +--R 6 9 8 7 10 5 +--R 113a b + 51a b - 114a b +--R * +--R 7 +--R sin(x) +--R + +--R 14 3 12 5 10 5 +--R (9a b - 15a b + 6a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 4 +--R (9a b - 6a b - 18a b + 15a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 3 +--R (- 16a b - 70a b + 200a b - 114a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 2 +--R (- 16a b - 74a b + 87a b + 262a b - 259a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 14 +--R (11a b - a b + 53a b - 3a b - 60a b )cos(x) + 11a b +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R 22a b + 2a b + 42a b + 31a b - 108a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 13 4 11 6 9 6 +--R (- 9a b + 15a b - 6a b )cos(x) +--R + +--R 2 13 4 11 6 9 5 +--R (90a b - 159a b + 69a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 4 +--R (113a b - 148a b - 7a b + 42a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 3 +--R (- 166a b - 185a b + 838a b - 487a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 2 +--R (- 187a b - 242a b + 825a b - 14a b - 382a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R (104a b + 156a b - 174a b - 176a b + 90a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R 111a b + 265a b - 289a b - 299a b + 258a b - 46a b +--R * +--R 5 +--R sin(x) +--R + +--R 3 12 5 10 7 8 6 +--R (- 63a b + 87a b - 24a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 5 +--R (- 4a b + 272a b - 454a b + 186a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 4 +--R (- 4a b + 457a b - 497a b - 16a b + 60a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 3 +--R (6a b - 534a b + 50a b + 1310a b - 832a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (6a b - 723a b - 161a b + 1660a b - 365a b - 417a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (- 2a b + 340a b + 194a b - 690a b - 72a b + 230a b ) +--R * +--R cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R - 2a b + 407a b + 473a b - 1044a b - 356a b + 529a b +--R + +--R 13 2 +--R - 7a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 13 4 11 6 9 7 +--R (18a b - 48a b + 30a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 6 +--R (12a b - 270a b + 354a b - 96a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 5 +--R (- 58a b + 434a b - 484a b + 108a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 4 +--R (- 46a b + 1142a b - 880a b - 522a b + 306a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 3 +--R (54a b - 760a b + 293a b + 1136a b - 723a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (48a b - 1486a b + 37a b + 2532a b - 785a b - 346a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (- 14a b + 486a b - 69a b - 731a b + 155a b + 173a b ) +--R * +--R cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R - 14a b + 726a b + 293a b - 1469a b - 31a b + 495a b +--R * +--R 3 +--R sin(x) +--R + +--R 14 3 12 5 10 7 8 7 +--R (- 6a b + 48a b - 126a b + 84a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 6 +--R (- 6a b + 12a b - 482a b + 706a b - 230a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 5 +--R (12a b - 102a b + 495a b - 405a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (12a b - 30a b + 1715a b - 1780a b - 310a b + 393a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (- 6a b + 84a b - 688a b + 478a b + 430a b - 298a b ) +--R * +--R 3 +--R cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R - 6a b + 48a b - 1948a b + 1132a b + 1713a b +--R + +--R 11 4 13 2 +--R - 752a b - 187a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (- 30a b + 353a b - 225a b - 291a b + 139a b + 54a b ) +--R * +--R cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R - 30a b + 749a b - 126a b - 1034a b + 200a b + 241a b +--R * +--R 2 +--R sin(x) +--R + +--R 2 13 4 11 6 9 8 7 7 +--R (- 36a b + 58a b - 68a b + 46a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 6 +--R (- 36a b + 4a b - 265a b + 479a b - 182a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 5 +--R (72a b - 22a b + 20a b - 13a b - 57a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (72a b + 86a b + 745a b - 1100a b - 7a b + 204a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (- 36a b - 18a b - 66a b + 77a b + 86a b - 43a b ) +--R * +--R 3 +--R cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R - 36a b - 72a b - 891a b + 884a b + 509a b - 340a b +--R + +--R 14 +--R - 54a b +--R * +--R 2 +--R cos(x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 +--R (- 18a b + 114a b - 110a b - 20a b + 28a b + 6a b)cos(x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 +--R - 18a b + 411a b - 263a b - 311a b + 121a b + 60a b +--R * +--R sin(x) +--R + +--R 3 12 5 10 7 8 9 6 7 +--R (- 54a b + 100a b - 62a b + 16a b )cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 6 +--R (- 54a b + 100a b - 143a b + 151a b - 54a b )cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 5 +--R (108a b - 166a b + 56a b + 26a b - 24a b )cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 4 +--R (108a b - 166a b + 299a b - 325a b + 48a b + 36a b )cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 3 +--R (- 54a b + 66a b + 6a b - 42a b + 24a b )cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R - 54a b + 66a b - 237a b + 255a b + 33a b - 57a b +--R + +--R 15 +--R - 6a +--R * +--R 2 +--R cos(x) +--R + +--R 7 8 9 6 11 4 13 2 15 +--R 81a b - 81a b - 27a b + 21a b + 6a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 13 4 11 6 9 2 2 13 4 11 +--R (- 18a b + 48a b - 30a b )cos(x) - 18a b - 6a b +--R + +--R 6 9 8 7 +--R 114a b - 90a b +--R * +--R 8 +--R sin(x) +--R + +--R 14 3 12 5 10 4 +--R (- 18a b + 30a b - 12a b )cos(x) +--R + +--R 14 3 12 5 10 3 +--R (- 18a b + 48a b - 30a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 2 +--R (22a b + 4a b + 58a b - 84a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 14 +--R (- 18a b - 6a b + 114a b - 90a b )cos(x) - 32a b +--R + +--R 3 12 5 10 7 8 9 6 +--R - 164a b + 232a b + 300a b - 336a b +--R * +--R 7 +--R sin(x) +--R + +--R 2 13 4 11 6 9 4 +--R (- 162a b + 252a b - 90a b )cos(x) +--R + +--R 15 2 13 4 11 6 9 3 +--R (4b - 92a b + 244a b - 156a b )cos(x) +--R + +--R 15 2 13 4 11 6 9 8 7 2 +--R (4b + 260a b + 210a b - 484a b + 10a b )cos(x) +--R + +--R 15 2 13 4 11 6 9 8 7 15 +--R (4b - 80a b + 112a b + 192a b - 228a b )cos(x) + 4b +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R - 214a b - 482a b + 726a b + 686a b - 720a b +--R * +--R 6 +--R sin(x) +--R + +--R 14 3 12 5 10 6 +--R (- 18a b + 30a b - 12a b )cos(x) +--R + +--R 3 12 5 10 5 +--R (- 18a b + 18a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 4 +--R (46a b - 698a b + 1036a b - 384a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 3 +--R (28a b - 178a b + 596a b - 446a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 2 +--R (- 14a b + 1112a b + 426a b - 2224a b + 700a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R (28a b - 180a b + 96a b + 380a b - 324a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R 42a b - 664a b - 1160a b + 1904a b + 918a b - 1040a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 13 4 11 6 9 6 +--R (- 126a b + 174a b - 48a b )cos(x) +--R + +--R 15 2 13 4 11 6 9 5 +--R (- 8b - 158a b + 262a b - 96a b )cos(x) +--R + +--R 15 2 13 4 11 6 9 8 7 4 +--R (- 8b + 212a b - 1192a b + 1780a b - 792a b )cos(x) +--R + +--R 15 2 13 4 11 6 9 8 7 3 +--R (12b + 336a b - 44a b - 104a b - 200a b )cos(x) +--R + +--R 15 2 13 4 11 6 9 8 7 10 5 +--R (12b - 42a b + 2270a b - 940a b - 2482a b + 1182a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 15 2 13 4 11 6 9 8 7 10 5 +--R (- 4b - 22a b - 638a b + 390a b + 762a b - 488a b ) +--R * +--R cos(x) +--R + +--R 15 2 13 4 11 6 9 8 7 10 5 +--R - 4b + 112a b - 1448a b - 1062a b + 2954a b + 374a b +--R + +--R 12 3 +--R - 926a b +--R * +--R 4 +--R sin(x) +--R + +--R 14 3 12 5 10 7 +--R (36a b - 96a b + 60a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 6 +--R (24a b - 540a b + 708a b - 192a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 5 +--R (- 116a b - 500a b + 1312a b - 696a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 4 +--R (- 92a b + 916a b - 902a b + 414a b - 336a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 3 +--R (108a b + 1216a b - 950a b - 944a b + 570a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R 96a b - 236a b + 1382a b - 696a b - 1318a b +--R + +--R 11 4 +--R 772a b +--R * +--R 2 +--R cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R - 28a b - 396a b - 882a b + 1298a b + 574a b +--R + +--R 11 4 +--R - 566a b +--R * +--R cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R - 28a b + 84a b - 1580a b - 4a b + 2212a b - 216a b +--R + +--R 13 2 +--R - 468a b +--R * +--R 3 +--R sin(x) +--R + +--R 15 2 13 4 11 6 9 7 +--R (- 12b + 96a b - 252a b + 168a b )cos(x) +--R + +--R 15 2 13 4 11 6 9 8 7 6 +--R (- 12b + 24a b - 964a b + 1412a b - 460a b )cos(x) +--R + +--R 15 2 13 4 11 6 9 8 7 5 +--R (24b - 204a b - 432a b + 1560a b - 948a b )cos(x) +--R + +--R 15 2 13 4 11 6 9 8 7 10 5 +--R (24b - 60a b + 2008a b - 1946a b - 308a b + 282a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 15 2 13 4 11 6 9 8 7 +--R - 12b + 168a b + 1468a b - 1588a b - 904a b +--R + +--R 10 5 +--R 868a b +--R * +--R 3 +--R cos(x) +--R + +--R 15 2 13 4 11 6 9 8 7 10 5 +--R - 12b + 96a b - 1052a b + 1232a b - 66a b - 352a b +--R + +--R 12 3 +--R 154a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R - 60a b - 716a b - 276a b + 1428a b - 16a b +--R + +--R 12 3 +--R - 360a b +--R * +--R cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R - 60a b + 76a b - 834a b + 410a b + 742a b - 214a b +--R + +--R 14 +--R - 120a b +--R * +--R 2 +--R sin(x) +--R + +--R 14 3 12 5 10 7 8 7 +--R (- 72a b + 116a b - 136a b + 92a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 6 +--R (- 72a b + 8a b - 530a b + 958a b - 364a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 5 +--R (144a b - 44a b - 716a b + 1234a b - 618a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R 144a b + 172a b + 734a b - 1102a b - 248a b +--R + +--R 11 4 +--R 300a b +--R * +--R 4 +--R cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R - 72a b - 36a b + 1380a b - 1574a b - 140a b +--R + +--R 11 4 +--R 442a b +--R * +--R 3 +--R cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 +--R - 72a b - 144a b - 270a b + 364a b + 274a b +--R + +--R 11 4 13 2 +--R - 116a b - 36a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R - 36a b - 528a b + 248a b + 596a b - 172a b +--R + +--R 13 2 +--R - 108a b +--R * +--R cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 15 +--R - 36a b + 66a b - 220a b + 176a b + 68a b - 42a b - 12a +--R * +--R sin(x) +--R + +--R 2 13 4 11 6 9 8 7 7 +--R (- 108a b + 200a b - 124a b + 32a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 6 +--R (- 108a b + 200a b - 286a b + 302a b - 108a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 5 +--R (216a b - 332a b - 50a b + 322a b - 156a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 4 +--R (216a b - 332a b + 436a b - 380a b - 12a b + 72a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (- 108a b + 132a b + 336a b - 516a b + 84a b + 72a b ) +--R * +--R 3 +--R cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R - 108a b + 132a b - 150a b + 78a b + 102a b - 42a b +--R + +--R 14 +--R - 12a b +--R * +--R 2 +--R cos(x) +--R + +--R 6 9 8 7 10 5 12 3 14 +--R (- 162a b + 162a b + 54a b - 42a b - 12a b)cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 12 5 10 7 8 2 3 12 5 10 7 8 +--R (- 9a b + 24a b - 15a b )cos(x) - 9a b - 3a b + 57a b +--R + +--R 9 6 +--R - 45a b +--R * +--R 8 +--R sin(x) +--R + +--R 2 13 4 11 6 9 3 +--R (- 9a b + 24a b - 15a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 2 +--R (- 7a b - 22a b + 107a b - 78a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 2 13 4 11 +--R (- 9a b - 3a b + 57a b - 45a b )cos(x) - 7a b - 43a b +--R + +--R 6 9 8 7 10 5 +--R 113a b + 51a b - 114a b +--R * +--R 7 +--R sin(x) +--R + +--R 14 3 12 5 10 5 +--R (9a b - 15a b + 6a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 4 +--R (9a b - 6a b - 18a b + 15a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 3 +--R (- 16a b - 70a b + 200a b - 114a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 2 +--R (- 16a b - 74a b + 87a b + 262a b - 259a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 14 +--R (11a b - a b + 53a b - 3a b - 60a b )cos(x) + 11a b +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R 22a b + 2a b + 42a b + 31a b - 108a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 13 4 11 6 9 6 +--R (- 9a b + 15a b - 6a b )cos(x) +--R + +--R 2 13 4 11 6 9 5 +--R (90a b - 159a b + 69a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 4 +--R (113a b - 148a b - 7a b + 42a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 3 +--R (- 166a b - 185a b + 838a b - 487a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 2 +--R (- 187a b - 242a b + 825a b - 14a b - 382a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 2 13 +--R (104a b + 156a b - 174a b - 176a b + 90a b )cos(x) + 111a b +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R 265a b - 289a b - 299a b + 258a b - 46a b +--R * +--R 5 +--R sin(x) +--R + +--R 3 12 5 10 7 8 6 +--R (- 63a b + 87a b - 24a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 5 +--R (- 4a b + 272a b - 454a b + 186a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 4 +--R (- 4a b + 457a b - 497a b - 16a b + 60a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 3 +--R (6a b - 534a b + 50a b + 1310a b - 832a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 2 +--R (6a b - 723a b - 161a b + 1660a b - 365a b - 417a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (- 2a b + 340a b + 194a b - 690a b - 72a b + 230a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 13 2 +--R - 2a b + 407a b + 473a b - 1044a b - 356a b + 529a b - 7a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 13 4 11 6 9 7 +--R (18a b - 48a b + 30a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 6 +--R (12a b - 270a b + 354a b - 96a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 5 +--R (- 58a b + 434a b - 484a b + 108a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 4 +--R (- 46a b + 1142a b - 880a b - 522a b + 306a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 3 +--R (54a b - 760a b + 293a b + 1136a b - 723a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (48a b - 1486a b + 37a b + 2532a b - 785a b - 346a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R (- 14a b + 486a b - 69a b - 731a b + 155a b + 173a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R - 14a b + 726a b + 293a b - 1469a b - 31a b + 495a b +--R * +--R 3 +--R sin(x) +--R + +--R 14 3 12 5 10 7 8 7 +--R (- 6a b + 48a b - 126a b + 84a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 6 +--R (- 6a b + 12a b - 482a b + 706a b - 230a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 5 +--R (12a b - 102a b + 495a b - 405a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R (12a b - 30a b + 1715a b - 1780a b - 310a b + 393a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 3 +--R (- 6a b + 84a b - 688a b + 478a b + 430a b - 298a b )cos(x) +--R + +--R 14 3 12 5 10 7 8 9 6 11 4 +--R - 6a b + 48a b - 1948a b + 1132a b + 1713a b - 752a b +--R + +--R 13 2 +--R - 187a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R (- 30a b + 353a b - 225a b - 291a b + 139a b + 54a b )cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 +--R - 30a b + 749a b - 126a b - 1034a b + 200a b + 241a b +--R * +--R 2 +--R sin(x) +--R + +--R 2 13 4 11 6 9 8 7 7 +--R (- 36a b + 58a b - 68a b + 46a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 6 +--R (- 36a b + 4a b - 265a b + 479a b - 182a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 5 +--R (72a b - 22a b + 20a b - 13a b - 57a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 4 +--R (72a b + 86a b + 745a b - 1100a b - 7a b + 204a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 3 +--R (- 36a b - 18a b - 66a b + 77a b + 86a b - 43a b )cos(x) +--R + +--R 2 13 4 11 6 9 8 7 10 5 12 3 +--R - 36a b - 72a b - 891a b + 884a b + 509a b - 340a b +--R + +--R 14 +--R - 54a b +--R * +--R 2 +--R cos(x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 +--R (- 18a b + 114a b - 110a b - 20a b + 28a b + 6a b)cos(x) +--R + +--R 4 11 6 9 8 7 10 5 12 3 14 +--R - 18a b + 411a b - 263a b - 311a b + 121a b + 60a b +--R * +--R sin(x) +--R + +--R 3 12 5 10 7 8 9 6 7 +--R (- 54a b + 100a b - 62a b + 16a b )cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 6 +--R (- 54a b + 100a b - 143a b + 151a b - 54a b )cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 5 +--R (108a b - 166a b + 56a b + 26a b - 24a b )cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 4 +--R (108a b - 166a b + 299a b - 325a b + 48a b + 36a b )cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 3 +--R (- 54a b + 66a b + 6a b - 42a b + 24a b )cos(x) +--R + +--R 3 12 5 10 7 8 9 6 11 4 13 2 15 +--R (- 54a b + 66a b - 237a b + 255a b + 33a b - 57a b - 6a ) +--R * +--R 2 +--R cos(x) +--R + +--R 7 8 9 6 11 4 13 2 15 +--R 81a b - 81a b - 27a b + 21a b + 6a +--R / +--R 2 16 4 14 4 +--R (6a b - 6a b )cos(x) +--R + +--R 2 16 4 14 6 12 2 2 16 4 14 +--R (- 12a b - 24a b + 36a b )cos(x) + 6a b + 30a b +--R + +--R 6 12 8 10 +--R 18a b - 54a b +--R * +--R 7 +--R sin(x) +--R + +--R 17 3 15 5 13 5 +--R (6a b - 12a b + 6a b )cos(x) +--R + +--R 17 3 15 5 13 4 +--R (6a b + 54a b - 60a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 3 +--R (- 12a b - 12a b + 60a b - 36a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 2 +--R (- 12a b - 144a b - 108a b + 264a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 9 9 +--R (6a b + 24a b - 12a b - 72a b + 54a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 9 9 +--R 6a b + 90a b + 222a b - 66a b - 252a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 16 4 14 6 12 5 +--R (60a b - 120a b + 60a b )cos(x) +--R + +--R 2 16 4 14 6 12 4 +--R (60a b + 174a b - 234a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 3 +--R (- 120a b - 24a b + 408a b - 264a b )cos(x) +--R + +--R 2 16 4 14 8 10 2 +--R (- 120a b - 612a b + 732a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R (60a b + 144a b - 216a b - 240a b + 252a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R 60a b + 438a b + 486a b - 510a b - 474a b +--R * +--R 5 +--R sin(x) +--R + +--R 3 15 5 13 7 11 5 +--R (234a b - 468a b + 234a b )cos(x) +--R + +--R 3 15 5 13 7 11 4 +--R (234a b + 222a b - 456a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 3 +--R (- 468a b + 204a b + 996a b - 732a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 2 +--R (- 468a b - 1176a b + 636a b + 1008a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R (234a b + 264a b - 756a b - 216a b + 474a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R 234a b + 954a b + 294a b - 1026a b - 456a b +--R * +--R 4 +--R sin(x) +--R + +--R 4 14 6 12 8 10 5 +--R (456a b - 912a b + 456a b )cos(x) +--R + +--R 4 14 6 12 8 10 4 +--R (456a b + 18a b - 474a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 3 +--R (- 912a b + 816a b + 1104a b - 1008a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 2 +--R (- 912a b - 1044a b + 1224a b + 732a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R (456a b + 96a b - 1104a b + 96a b + 456a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R 456a b + 1026a b - 294a b - 954a b - 234a b +--R * +--R 3 +--R sin(x) +--R + +--R 5 13 7 11 9 9 5 +--R (474a b - 948a b + 474a b )cos(x) +--R + +--R 5 13 7 11 9 9 4 +--R (474a b - 222a b - 252a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 3 +--R (- 948a b + 1164a b + 516a b - 732a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 2 +--R (- 948a b - 288a b + 972a b + 264a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R (474a b - 216a b - 756a b + 264a b + 234a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R 474a b + 510a b - 486a b - 438a b - 60a b +--R * +--R 2 +--R sin(x) +--R + +--R 6 12 8 10 10 8 5 +--R (252a b - 504a b + 252a b )cos(x) +--R + +--R 6 12 8 10 10 8 4 +--R (252a b - 198a b - 54a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 3 +--R (- 504a b + 744a b + 24a b - 264a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 2 +--R (- 504a b + 132a b + 336a b + 36a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R (252a b - 240a b - 216a b + 144a b + 60a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R 252a b + 66a b - 222a b - 90a b - 6a b +--R * +--R sin(x) +--R + +--R 7 11 9 9 11 7 5 7 11 9 9 4 +--R (54a b - 108a b + 54a b )cos(x) + (54a b - 54a b )cos(x) +--R + +--R 7 11 9 9 11 7 13 5 3 +--R (- 108a b + 180a b - 36a b - 36a b )cos(x) +--R + +--R 7 11 9 9 11 7 2 +--R (- 108a b + 72a b + 36a b )cos(x) +--R + +--R 7 11 9 9 11 7 13 5 15 3 7 11 +--R (54a b - 72a b - 12a b + 24a b + 6a b )cos(x) + 54a b +--R + +--R 9 9 11 7 13 5 +--R - 18a b - 30a b - 6a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 17 3 15 4 +--R (12a b - 12a b )cos(x) +--R + +--R 17 3 15 5 13 2 17 3 15 +--R (- 24a b - 48a b + 72a b )cos(x) + 12a b + 60a b +--R + +--R 5 13 7 11 +--R 36a b - 108a b +--R * +--R 7 +--R sin(x) +--R + +--R 18 2 16 4 14 5 +--R (12b - 24a b + 12a b )cos(x) +--R + +--R 18 2 16 4 14 4 +--R (12b + 108a b - 120a b )cos(x) +--R + +--R 18 2 16 4 14 6 12 3 +--R (- 24b - 24a b + 120a b - 72a b )cos(x) +--R + +--R 18 2 16 4 14 6 12 2 +--R (- 24b - 288a b - 216a b + 528a b )cos(x) +--R + +--R 18 2 16 4 14 6 12 8 10 +--R (12b + 48a b - 24a b - 144a b + 108a b )cos(x) +--R + +--R 18 2 16 4 14 6 12 8 10 +--R 12b + 180a b + 444a b - 132a b - 504a b +--R * +--R 6 +--R sin(x) +--R + +--R 17 3 15 5 13 5 +--R (120a b - 240a b + 120a b )cos(x) +--R + +--R 17 3 15 5 13 4 +--R (120a b + 348a b - 468a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 3 +--R (- 240a b - 48a b + 816a b - 528a b )cos(x) +--R + +--R 17 3 15 7 11 2 +--R (- 240a b - 1224a b + 1464a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 9 9 +--R (120a b + 288a b - 432a b - 480a b + 504a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 9 9 +--R 120a b + 876a b + 972a b - 1020a b - 948a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 16 4 14 6 12 5 +--R (468a b - 936a b + 468a b )cos(x) +--R + +--R 2 16 4 14 6 12 4 +--R (468a b + 444a b - 912a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 3 +--R (- 936a b + 408a b + 1992a b - 1464a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 2 +--R (- 936a b - 2352a b + 1272a b + 2016a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R (468a b + 528a b - 1512a b - 432a b + 948a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R 468a b + 1908a b + 588a b - 2052a b - 912a b +--R * +--R 4 +--R sin(x) +--R + +--R 3 15 5 13 7 11 5 +--R (912a b - 1824a b + 912a b )cos(x) +--R + +--R 3 15 5 13 7 11 4 +--R (912a b + 36a b - 948a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 3 +--R (- 1824a b + 1632a b + 2208a b - 2016a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 2 +--R (- 1824a b - 2088a b + 2448a b + 1464a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R (912a b + 192a b - 2208a b + 192a b + 912a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R 912a b + 2052a b - 588a b - 1908a b - 468a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 14 6 12 8 10 5 +--R (948a b - 1896a b + 948a b )cos(x) +--R + +--R 4 14 6 12 8 10 4 +--R (948a b - 444a b - 504a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 3 +--R (- 1896a b + 2328a b + 1032a b - 1464a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 2 +--R (- 1896a b - 576a b + 1944a b + 528a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R (948a b - 432a b - 1512a b + 528a b + 468a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R 948a b + 1020a b - 972a b - 876a b - 120a b +--R * +--R 2 +--R sin(x) +--R + +--R 5 13 7 11 9 9 5 +--R (504a b - 1008a b + 504a b )cos(x) +--R + +--R 5 13 7 11 9 9 4 +--R (504a b - 396a b - 108a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 3 +--R (- 1008a b + 1488a b + 48a b - 528a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 2 +--R (- 1008a b + 264a b + 672a b + 72a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R (504a b - 480a b - 432a b + 288a b + 120a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R 504a b + 132a b - 444a b - 180a b - 12a b +--R * +--R sin(x) +--R + +--R 6 12 8 10 10 8 5 +--R (108a b - 216a b + 108a b )cos(x) +--R + +--R 6 12 8 10 4 +--R (108a b - 108a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 3 +--R (- 216a b + 360a b - 72a b - 72a b )cos(x) +--R + +--R 6 12 8 10 10 8 2 +--R (- 216a b + 144a b + 72a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R (108a b - 144a b - 24a b + 48a b + 12a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 +--R 108a b - 36a b - 60a b - 12a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 16 4 14 4 2 16 4 14 6 12 2 +--R (6a b - 6a b )cos(x) + (- 12a b - 24a b + 36a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 +--R 6a b + 30a b + 18a b - 54a b +--R * +--R 7 +--R sin(x) +--R + +--R 17 3 15 5 13 5 +--R (6a b - 12a b + 6a b )cos(x) +--R + +--R 17 3 15 5 13 4 +--R (6a b + 54a b - 60a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 3 +--R (- 12a b - 12a b + 60a b - 36a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 2 +--R (- 12a b - 144a b - 108a b + 264a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 9 9 17 +--R (6a b + 24a b - 12a b - 72a b + 54a b )cos(x) + 6a b +--R + +--R 3 15 5 13 7 11 9 9 +--R 90a b + 222a b - 66a b - 252a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 16 4 14 6 12 5 +--R (60a b - 120a b + 60a b )cos(x) +--R + +--R 2 16 4 14 6 12 4 +--R (60a b + 174a b - 234a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 3 +--R (- 120a b - 24a b + 408a b - 264a b )cos(x) +--R + +--R 2 16 4 14 8 10 2 +--R (- 120a b - 612a b + 732a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R (60a b + 144a b - 216a b - 240a b + 252a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 10 8 +--R 60a b + 438a b + 486a b - 510a b - 474a b +--R * +--R 5 +--R sin(x) +--R + +--R 3 15 5 13 7 11 5 +--R (234a b - 468a b + 234a b )cos(x) +--R + +--R 3 15 5 13 7 11 4 +--R (234a b + 222a b - 456a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 3 +--R (- 468a b + 204a b + 996a b - 732a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 2 +--R (- 468a b - 1176a b + 636a b + 1008a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R (234a b + 264a b - 756a b - 216a b + 474a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 11 7 +--R 234a b + 954a b + 294a b - 1026a b - 456a b +--R * +--R 4 +--R sin(x) +--R + +--R 4 14 6 12 8 10 5 +--R (456a b - 912a b + 456a b )cos(x) +--R + +--R 4 14 6 12 8 10 4 +--R (456a b + 18a b - 474a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 3 +--R (- 912a b + 816a b + 1104a b - 1008a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 2 +--R (- 912a b - 1044a b + 1224a b + 732a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R (456a b + 96a b - 1104a b + 96a b + 456a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 12 6 +--R 456a b + 1026a b - 294a b - 954a b - 234a b +--R * +--R 3 +--R sin(x) +--R + +--R 5 13 7 11 9 9 5 +--R (474a b - 948a b + 474a b )cos(x) +--R + +--R 5 13 7 11 9 9 4 +--R (474a b - 222a b - 252a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 3 +--R (- 948a b + 1164a b + 516a b - 732a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 2 +--R (- 948a b - 288a b + 972a b + 264a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R (474a b - 216a b - 756a b + 264a b + 234a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 13 5 +--R 474a b + 510a b - 486a b - 438a b - 60a b +--R * +--R 2 +--R sin(x) +--R + +--R 6 12 8 10 10 8 5 +--R (252a b - 504a b + 252a b )cos(x) +--R + +--R 6 12 8 10 10 8 4 +--R (252a b - 198a b - 54a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 3 +--R (- 504a b + 744a b + 24a b - 264a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 2 +--R (- 504a b + 132a b + 336a b + 36a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R (252a b - 240a b - 216a b + 144a b + 60a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 14 4 +--R 252a b + 66a b - 222a b - 90a b - 6a b +--R * +--R sin(x) +--R + +--R 7 11 9 9 11 7 5 7 11 9 9 4 +--R (54a b - 108a b + 54a b )cos(x) + (54a b - 54a b )cos(x) +--R + +--R 7 11 9 9 11 7 13 5 3 +--R (- 108a b + 180a b - 36a b - 36a b )cos(x) +--R + +--R 7 11 9 9 11 7 2 +--R (- 108a b + 72a b + 36a b )cos(x) +--R + +--R 7 11 9 9 11 7 13 5 15 3 7 11 +--R (54a b - 72a b - 12a b + 24a b + 6a b )cos(x) + 54a b +--R + +--R 9 9 11 7 13 5 +--R - 18a b - 30a b - 6a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 2 17 4 15 6 13 4 +--R (6a b - 12a b + 6a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 2 2 17 +--R (- 12a b - 12a b + 60a b - 36a b )cos(x) + 6a b +--R + +--R 4 15 6 13 8 11 10 9 +--R 24a b - 12a b - 72a b + 54a b +--R * +--R 7 +--R sin(x) +--R + +--R 18 3 16 5 14 5 +--R (6a b - 12a b + 6a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 4 +--R (6a b + 48a b - 114a b + 60a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 3 +--R (- 12a b - 12a b + 60a b - 36a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 2 +--R (- 12a b - 132a b + 36a b + 372a b - 264a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 18 +--R (6a b + 24a b - 12a b - 72a b + 54a b )cos(x) + 6a b +--R + +--R 3 16 5 14 7 12 9 10 11 8 +--R 84a b + 132a b - 288a b - 186a b + 252a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 17 4 15 6 13 5 +--R (60a b - 120a b + 60a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 4 +--R (60a b + 114a b - 408a b + 234a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 3 +--R (- 120a b - 24a b + 408a b - 264a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 2 +--R (- 120a b - 492a b + 612a b + 732a b - 732a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 +--R (60a b + 144a b - 216a b - 240a b + 252a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 12 7 +--R 60a b + 378a b + 48a b - 996a b + 36a b + 474a b +--R * +--R 5 +--R sin(x) +--R + +--R 3 16 5 14 7 12 5 +--R (234a b - 468a b + 234a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 4 +--R (234a b - 12a b - 678a b + 456a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 3 +--R (- 468a b + 204a b + 996a b - 732a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 2 +--R (- 468a b - 708a b + 1812a b + 372a b - 1008a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 +--R (234a b + 264a b - 756a b - 216a b + 474a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 13 6 +--R 234a b + 720a b - 660a b - 1320a b + 570a b + 456a b +--R * +--R 4 +--R sin(x) +--R + +--R 4 15 6 13 8 11 5 +--R (456a b - 912a b + 456a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 4 +--R (456a b - 438a b - 492a b + 474a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 3 +--R (- 912a b + 816a b + 1104a b - 1008a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 12 7 2 +--R (- 912a b - 132a b + 2268a b - 492a b - 732a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 12 7 +--R (456a b + 96a b - 1104a b + 96a b + 456a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 12 7 14 5 +--R 456a b + 570a b - 1320a b - 660a b + 720a b + 234a b +--R * +--R 3 +--R sin(x) +--R + +--R 5 14 7 12 9 10 5 +--R (474a b - 948a b + 474a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 4 +--R (474a b - 696a b - 30a b + 252a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 3 +--R (- 948a b + 1164a b + 516a b - 732a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 13 6 2 +--R (- 948a b + 660a b + 1260a b - 708a b - 264a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 13 6 +--R (474a b - 216a b - 756a b + 264a b + 234a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 13 6 15 4 +--R 474a b + 36a b - 996a b + 48a b + 378a b + 60a b +--R * +--R 2 +--R sin(x) +--R + +--R 6 13 8 11 10 9 5 +--R (252a b - 504a b + 252a b )cos(x) +--R + +--R 6 13 8 11 10 9 12 7 4 +--R (252a b - 450a b + 144a b + 54a b )cos(x) +--R + +--R 6 13 8 11 10 9 12 7 3 +--R (- 504a b + 744a b + 24a b - 264a b )cos(x) +--R + +--R 6 13 8 11 10 9 12 7 14 5 2 +--R (- 504a b + 636a b + 204a b - 300a b - 36a b )cos(x) +--R + +--R 6 13 8 11 10 9 12 7 14 5 +--R (252a b - 240a b - 216a b + 144a b + 60a b )cos(x) +--R + +--R 6 13 8 11 10 9 12 7 14 5 16 3 +--R 252a b - 186a b - 288a b + 132a b + 84a b + 6a b +--R * +--R sin(x) +--R + +--R 7 12 9 10 11 8 5 +--R (54a b - 108a b + 54a b )cos(x) +--R + +--R 7 12 9 10 11 8 4 +--R (54a b - 108a b + 54a b )cos(x) +--R + +--R 7 12 9 10 11 8 13 6 3 +--R (- 108a b + 180a b - 36a b - 36a b )cos(x) +--R + +--R 7 12 9 10 11 8 13 6 2 +--R (- 108a b + 180a b - 36a b - 36a b )cos(x) +--R + +--R 7 12 9 10 11 8 13 6 15 4 7 12 +--R (54a b - 72a b - 12a b + 24a b + 6a b )cos(x) + 54a b +--R + +--R 9 10 11 8 13 6 15 4 +--R - 72a b - 12a b + 24a b + 6a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 18 3 16 5 14 4 +--R (12a b - 24a b + 12a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 2 18 +--R (- 24a b - 24a b + 120a b - 72a b )cos(x) + 12a b +--R + +--R 3 16 5 14 7 12 9 10 +--R 48a b - 24a b - 144a b + 108a b +--R * +--R 7 +--R sin(x) +--R + +--R 19 2 17 4 15 5 +--R (12b - 24a b + 12a b )cos(x) +--R + +--R 19 2 17 4 15 6 13 4 +--R (12b + 96a b - 228a b + 120a b )cos(x) +--R + +--R 19 2 17 4 15 6 13 3 +--R (- 24b - 24a b + 120a b - 72a b )cos(x) +--R + +--R 19 2 17 4 15 6 13 8 11 2 +--R (- 24b - 264a b + 72a b + 744a b - 528a b )cos(x) +--R + +--R 19 2 17 4 15 6 13 8 11 19 +--R (12b + 48a b - 24a b - 144a b + 108a b )cos(x) + 12b +--R + +--R 2 17 4 15 6 13 8 11 10 9 +--R 168a b + 264a b - 576a b - 372a b + 504a b +--R * +--R 6 +--R sin(x) +--R + +--R 18 3 16 5 14 5 +--R (120a b - 240a b + 120a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 4 +--R (120a b + 228a b - 816a b + 468a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 3 +--R (- 240a b - 48a b + 816a b - 528a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 +--R (- 240a b - 984a b + 1224a b + 1464a b - 1464a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 +--R (120a b + 288a b - 432a b - 480a b + 504a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 11 8 +--R 120a b + 756a b + 96a b - 1992a b + 72a b + 948a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 17 4 15 6 13 5 +--R (468a b - 936a b + 468a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 4 +--R (468a b - 24a b - 1356a b + 912a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 3 +--R (- 936a b + 408a b + 1992a b - 1464a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 +--R (- 936a b - 1416a b + 3624a b + 744a b - 2016a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 +--R (468a b + 528a b - 1512a b - 432a b + 948a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 12 7 +--R 468a b + 1440a b - 1320a b - 2640a b + 1140a b + 912a b +--R * +--R 4 +--R sin(x) +--R + +--R 3 16 5 14 7 12 5 +--R (912a b - 1824a b + 912a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 4 +--R (912a b - 876a b - 984a b + 948a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 3 +--R (- 1824a b + 1632a b + 2208a b - 2016a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 +--R (- 1824a b - 264a b + 4536a b - 984a b - 1464a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 +--R (912a b + 192a b - 2208a b + 192a b + 912a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 13 6 +--R 912a b + 1140a b - 2640a b - 1320a b + 1440a b + 468a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 15 6 13 8 11 5 +--R (948a b - 1896a b + 948a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 4 +--R (948a b - 1392a b - 60a b + 504a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 3 +--R (- 1896a b + 2328a b + 1032a b - 1464a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 12 7 +--R (- 1896a b + 1320a b + 2520a b - 1416a b - 528a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 4 15 6 13 8 11 10 9 12 7 +--R (948a b - 432a b - 1512a b + 528a b + 468a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 12 7 14 5 +--R 948a b + 72a b - 1992a b + 96a b + 756a b + 120a b +--R * +--R 2 +--R sin(x) +--R + +--R 5 14 7 12 9 10 5 +--R (504a b - 1008a b + 504a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 4 +--R (504a b - 900a b + 288a b + 108a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 3 +--R (- 1008a b + 1488a b + 48a b - 528a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 13 6 2 +--R (- 1008a b + 1272a b + 408a b - 600a b - 72a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 13 6 +--R (504a b - 480a b - 432a b + 288a b + 120a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 13 6 15 4 +--R 504a b - 372a b - 576a b + 264a b + 168a b + 12a b +--R * +--R sin(x) +--R + +--R 6 13 8 11 10 9 5 +--R (108a b - 216a b + 108a b )cos(x) +--R + +--R 6 13 8 11 10 9 4 +--R (108a b - 216a b + 108a b )cos(x) +--R + +--R 6 13 8 11 10 9 12 7 3 +--R (- 216a b + 360a b - 72a b - 72a b )cos(x) +--R + +--R 6 13 8 11 10 9 12 7 2 +--R (- 216a b + 360a b - 72a b - 72a b )cos(x) +--R + +--R 6 13 8 11 10 9 12 7 14 5 6 13 +--R (108a b - 144a b - 24a b + 48a b + 12a b )cos(x) + 108a b +--R + +--R 8 11 10 9 12 7 14 5 +--R - 144a b - 24a b + 48a b + 12a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 17 4 15 6 13 4 +--R (6a b - 12a b + 6a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 2 2 17 4 15 +--R (- 12a b - 12a b + 60a b - 36a b )cos(x) + 6a b + 24a b +--R + +--R 6 13 8 11 10 9 +--R - 12a b - 72a b + 54a b +--R * +--R 7 +--R sin(x) +--R + +--R 18 3 16 5 14 5 +--R (6a b - 12a b + 6a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 4 +--R (6a b + 48a b - 114a b + 60a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 3 +--R (- 12a b - 12a b + 60a b - 36a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 2 +--R (- 12a b - 132a b + 36a b + 372a b - 264a b )cos(x) +--R + +--R 18 3 16 5 14 7 12 9 10 18 +--R (6a b + 24a b - 12a b - 72a b + 54a b )cos(x) + 6a b +--R + +--R 3 16 5 14 7 12 9 10 11 8 +--R 84a b + 132a b - 288a b - 186a b + 252a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 17 4 15 6 13 5 +--R (60a b - 120a b + 60a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 4 +--R (60a b + 114a b - 408a b + 234a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 3 +--R (- 120a b - 24a b + 408a b - 264a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 2 +--R (- 120a b - 492a b + 612a b + 732a b - 732a b )cos(x) +--R + +--R 2 17 4 15 6 13 8 11 10 9 2 17 +--R (60a b + 144a b - 216a b - 240a b + 252a b )cos(x) + 60a b +--R + +--R 4 15 6 13 8 11 10 9 12 7 +--R 378a b + 48a b - 996a b + 36a b + 474a b +--R * +--R 5 +--R sin(x) +--R + +--R 3 16 5 14 7 12 5 +--R (234a b - 468a b + 234a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 4 +--R (234a b - 12a b - 678a b + 456a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 3 +--R (- 468a b + 204a b + 996a b - 732a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 2 +--R (- 468a b - 708a b + 1812a b + 372a b - 1008a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 +--R (234a b + 264a b - 756a b - 216a b + 474a b )cos(x) +--R + +--R 3 16 5 14 7 12 9 10 11 8 13 6 +--R 234a b + 720a b - 660a b - 1320a b + 570a b + 456a b +--R * +--R 4 +--R sin(x) +--R + +--R 4 15 6 13 8 11 5 +--R (456a b - 912a b + 456a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 4 +--R (456a b - 438a b - 492a b + 474a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 3 +--R (- 912a b + 816a b + 1104a b - 1008a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 12 7 2 +--R (- 912a b - 132a b + 2268a b - 492a b - 732a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 12 7 +--R (456a b + 96a b - 1104a b + 96a b + 456a b )cos(x) +--R + +--R 4 15 6 13 8 11 10 9 12 7 14 5 +--R 456a b + 570a b - 1320a b - 660a b + 720a b + 234a b +--R * +--R 3 +--R sin(x) +--R + +--R 5 14 7 12 9 10 5 +--R (474a b - 948a b + 474a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 4 +--R (474a b - 696a b - 30a b + 252a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 3 +--R (- 948a b + 1164a b + 516a b - 732a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 13 6 2 +--R (- 948a b + 660a b + 1260a b - 708a b - 264a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 13 6 +--R (474a b - 216a b - 756a b + 264a b + 234a b )cos(x) +--R + +--R 5 14 7 12 9 10 11 8 13 6 15 4 +--R 474a b + 36a b - 996a b + 48a b + 378a b + 60a b +--R * +--R 2 +--R sin(x) +--R + +--R 6 13 8 11 10 9 5 +--R (252a b - 504a b + 252a b )cos(x) +--R + +--R 6 13 8 11 10 9 12 7 4 +--R (252a b - 450a b + 144a b + 54a b )cos(x) +--R + +--R 6 13 8 11 10 9 12 7 3 +--R (- 504a b + 744a b + 24a b - 264a b )cos(x) +--R + +--R 6 13 8 11 10 9 12 7 14 5 2 +--R (- 504a b + 636a b + 204a b - 300a b - 36a b )cos(x) +--R + +--R 6 13 8 11 10 9 12 7 14 5 +--R (252a b - 240a b - 216a b + 144a b + 60a b )cos(x) +--R + +--R 6 13 8 11 10 9 12 7 14 5 16 3 +--R 252a b - 186a b - 288a b + 132a b + 84a b + 6a b +--R * +--R sin(x) +--R + +--R 7 12 9 10 11 8 5 +--R (54a b - 108a b + 54a b )cos(x) +--R + +--R 7 12 9 10 11 8 4 +--R (54a b - 108a b + 54a b )cos(x) +--R + +--R 7 12 9 10 11 8 13 6 3 +--R (- 108a b + 180a b - 36a b - 36a b )cos(x) +--R + +--R 7 12 9 10 11 8 13 6 2 +--R (- 108a b + 180a b - 36a b - 36a b )cos(x) +--R + +--R 7 12 9 10 11 8 13 6 15 4 7 12 +--R (54a b - 72a b - 12a b + 24a b + 6a b )cos(x) + 54a b +--R + +--R 9 10 11 8 13 6 15 4 +--R - 72a b - 12a b + 24a b + 6a b +--R Type: Expression Integer +--E 120 + +--S 121 of 532 +m0721b:= a0721.2-r0721 +--R +--R +--R (113) +--R 4 8 6 6 2 4 8 6 6 8 4 4 +--R ((18a b - 12a b )cos(x) - 18a b - 42a b + 36a b )sin(x) +--R + +--R 5 7 7 5 2 5 7 7 5 9 3 3 +--R ((108a b - 72a b )cos(x) - 108a b - 108a b + 120a b )sin(x) +--R + +--R 6 6 8 4 2 6 6 8 4 10 2 2 +--R ((216a b - 144a b )cos(x) - 216a b - 72a b + 144a b )sin(x) +--R + +--R 7 5 9 3 2 7 5 9 3 11 +--R ((180a b - 120a b )cos(x) - 180a b + 12a b + 72a b)sin(x) +--R + +--R 8 4 10 2 2 8 4 10 2 12 +--R (54a b - 36a b )cos(x) - 54a b + 18a b + 12a +--R * +--R +---------+ +--R | 2 2 +--R (a sin(x) + b cos(x) + b)\|- b + a +--R atan(-------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(x) + b - a +--R + +--R 4 8 6 6 2 4 8 6 6 8 4 4 +--R ((18a b - 12a b )cos(x) - 18a b - 42a b + 36a b )sin(x) +--R + +--R 5 7 7 5 2 5 7 7 5 9 3 3 +--R ((108a b - 72a b )cos(x) - 108a b - 108a b + 120a b )sin(x) +--R + +--R 6 6 8 4 2 6 6 8 4 10 2 2 +--R ((216a b - 144a b )cos(x) - 216a b - 72a b + 144a b )sin(x) +--R + +--R 7 5 9 3 2 7 5 9 3 11 +--R ((180a b - 120a b )cos(x) - 180a b + 12a b + 72a b)sin(x) +--R + +--R 8 4 10 2 2 8 4 10 2 12 +--R (54a b - 36a b )cos(x) - 54a b + 18a b + 12a +--R * +--R x +--R a tan(-) + b +--R 2 +--R atan(------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 11 2 9 4 7 2 4 7 6 5 11 +--R (- 2b + 5a b - 6a b )cos(x) + (- 9a b + 15a b )cos(x) + 2b +--R + +--R 2 9 4 7 6 5 +--R a b - 9a b + 18a b +--R * +--R 4 +--R sin(x) +--R + +--R 10 3 8 5 6 2 +--R (- 12a b + 30a b - 36a b )cos(x) +--R + +--R 3 8 5 6 7 4 10 3 8 5 6 7 4 +--R (2a b - 8a b + 18a b )cos(x) + 12a b - 10a b - 14a b + 60a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 7 6 5 3 2 9 4 7 6 5 2 +--R (- 9a b + 15a b )cos(x) + (- 24a b + 60a b - 72a b )cos(x) +--R + +--R 4 7 6 5 8 3 2 9 4 7 6 5 8 3 +--R (15a b - 22a b + 7a b )cos(x) + 24a b - 36a b + 12a b + 72a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 8 5 6 7 4 3 +--R (2a b - 8a b + 18a b )cos(x) +--R + +--R 3 8 5 6 7 4 2 +--R (- 20a b + 50a b - 60a b )cos(x) +--R + +--R 3 8 5 6 7 4 3 8 5 6 7 4 +--R (- 2a b + 8a b - 18a b )cos(x) + 20a b - 38a b + 30a b +--R + +--R 9 2 +--R 36a b +--R * +--R sin(x) +--R + +--R 4 7 6 5 8 3 3 4 7 6 5 8 3 2 +--R (6a b - 7a b + 7a b )cos(x) + (- 6a b + 15a b - 18a b )cos(x) +--R + +--R 4 7 6 5 8 3 4 7 6 5 8 3 10 +--R (- 6a b + 7a b - 7a b )cos(x) + 6a b - 13a b + 13a b + 6a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 3 12 5 10 2 3 12 5 10 7 8 4 +--R ((6a b - 6a b )cos(x) - 6a b - 12a b + 18a b )sin(x) +--R + +--R 4 11 6 9 2 4 11 6 9 8 7 3 +--R ((36a b - 36a b )cos(x) - 36a b - 24a b + 60a b )sin(x) +--R + +--R 5 10 7 8 2 5 10 9 6 2 +--R ((72a b - 72a b )cos(x) - 72a b + 72a b )sin(x) +--R + +--R 6 9 8 7 2 6 9 8 7 10 5 +--R ((60a b - 60a b )cos(x) - 60a b + 24a b + 36a b )sin(x) +--R + +--R 7 8 9 6 2 7 8 9 6 11 4 +--R (18a b - 18a b )cos(x) - 18a b + 12a b + 6a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 121 + +--S 122 of 532 +d0721b:= D(m0721b,x) +--R +--R +--R (114) +--R 3 11 5 9 2 3 11 5 9 7 7 9 +--R ((- 9a b + 15a b )cos(x) - 9a b - 12a b + 45a b )sin(x) +--R + +--R 2 12 4 10 4 2 12 4 10 3 +--R (- 9a b + 6a b )cos(x) + (- 18a b + 30a b )cos(x) +--R + +--R 2 12 4 10 6 8 2 +--R (2a b + 28a b + 42a b )cos(x) +--R + +--R 2 12 4 10 6 8 2 12 4 10 +--R (- 18a b - 24a b + 90a b )cos(x) - 25a b - 110a b +--R + +--R 6 8 8 6 +--R 63a b + 168a b +--R * +--R 8 +--R sin(x) +--R + +--R 13 3 11 5 13 3 11 5 9 4 +--R (18a b - 12a b )cos(x) + (18a b - 102a b + 60a b )cos(x) +--R + +--R 13 3 11 5 9 3 +--R (- 32a b - 190a b + 258a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 2 +--R (- 32a b - 14a b + 390a b + 40a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 13 3 11 +--R (22a b + 2a b + 102a b + 210a b )cos(x) + 22a b - 56a b +--R + +--R 5 9 7 7 9 5 +--R - 250a b + 68a b + 360a b +--R * +--R 7 +--R sin(x) +--R + +--R 2 12 4 10 6 2 12 4 10 5 +--R (- 9a b + 6a b )cos(x) + (198a b - 150a b )cos(x) +--R + +--R 2 12 4 10 6 8 4 +--R (223a b - 511a b + 270a b )cos(x) +--R + +--R 2 12 4 10 6 8 3 +--R (- 364a b - 874a b + 1202a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 2 +--R (- 385a b - 244a b + 1681a b - 236a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 2 12 +--R (230a b + 540a b + 298a b - 60a b )cos(x) + 235a b +--R + +--R 4 10 6 8 8 6 10 4 +--R 343a b - 583a b - 275a b + 520a b +--R * +--R 6 +--R sin(x) +--R + +--R 3 11 5 9 6 +--R (- 63a b + 15a b )cos(x) +--R + +--R 13 3 11 5 9 5 +--R (- 8a b + 716a b - 510a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 4 +--R (- 8a b + 915a b - 1118a b + 619a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 3 +--R (12a b - 1388a b - 1658a b + 2638a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 2 +--R (12a b - 1577a b - 691a b + 2937a b - 429a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (- 4a b + 884a b + 1584a b - 144a b - 640a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R - 4a b + 937a b + 1322a b - 1180a b - 770a b + 463a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 12 4 10 7 +--R (36a b - 60a b )cos(x) +--R + +--R 2 12 4 10 6 8 6 +--R (26a b - 371a b + 144a b )cos(x) +--R + +--R 2 12 4 10 6 8 5 +--R (- 124a b + 1288a b - 588a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 4 +--R (- 102a b + 2265a b - 871a b + 268a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 3 +--R (120a b - 2468a b - 1782a b + 3110a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 2 +--R (106a b - 3387a b - 1832a b + 3431a b - 142a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (- 32a b + 1620a b + 1870a b - 972a b - 806a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R - 30a b + 1873a b + 2093a b - 1595a b - 991a b + 234a b +--R * +--R 4 +--R sin(x) +--R + +--R 3 11 5 9 8 +--R (18a b - 30a b )cos(x) +--R + +--R 13 3 11 5 9 7 +--R (- 12a b + 120a b - 228a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 6 +--R (- 12a b + 8a b - 898a b + 578a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 5 +--R (24a b - 296a b + 1562a b - 216a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 4 +--R (24a b - 112a b + 3824a b - 838a b - 426a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 3 +--R (- 12a b + 264a b - 2632a b - 1090a b + 2042a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R - 12a b + 160a b - 4802a b - 1816a b + 2856a b +--R + +--R 11 3 +--R 206a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R (- 88a b + 1590a b + 1002a b - 1042a b - 454a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R - 74a b + 2198a b + 1772a b - 1430a b - 750a b + 60a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 12 4 10 6 8 8 +--R (- 6a b + 42a b - 84a b )cos(x) +--R + +--R 2 12 4 10 6 8 7 +--R (- 84a b + 128a b - 260a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 6 +--R (- 66a b - 58a b - 733a b + 656a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 5 +--R (168a b - 80a b + 950a b + 114a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 4 +--R (150a b + 196a b + 2901a b - 677a b - 584a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 3 +--R (- 84a b + 48a b - 1460a b - 350a b + 682a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R - 78a b - 114a b - 3539a b - 804a b + 1601a b +--R + +--R 12 2 +--R 198a b +--R * +--R 2 +--R cos(x) +--R + +--R 4 10 6 8 8 6 10 4 12 2 +--R (- 96a b + 838a b + 168a b - 454a b - 120a b )cos(x) +--R + +--R 4 10 6 8 8 6 10 4 12 2 14 +--R - 66a b + 1523a b + 757a b - 789a b - 327a b + 6a +--R * +--R 2 +--R sin(x) +--R + +--R 3 11 5 9 7 7 8 +--R (- 36a b + 22a b - 46a b )cos(x) +--R + +--R 3 11 5 9 7 7 7 +--R (- 180a b + 136a b - 124a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 6 +--R (- 72a b + 164a b - 467a b + 363a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 5 +--R (360a b - 16a b + 136a b + 162a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 4 +--R (252a b - 120a b + 1323a b - 406a b - 257a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 3 +--R (- 180a b - 84a b - 204a b - 134a b + 86a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R (- 144a b - 48a b - 1365a b - 87a b + 510a b + 60a b) +--R * +--R 2 +--R cos(x) +--R + +--R 5 9 7 7 9 5 11 3 13 5 9 +--R (- 36a b + 192a b - 28a b - 68a b - 12a b)cos(x) - 18a b +--R + +--R 7 7 9 5 11 3 13 +--R 555a b + 130a b - 235a b - 72a b +--R * +--R sin(x) +--R + +--R 4 10 6 8 8 6 8 +--R (- 54a b + 46a b - 16a b )cos(x) +--R + +--R 4 10 6 8 8 6 7 +--R (- 108a b + 92a b - 32a b )cos(x) +--R + +--R 4 10 6 8 8 6 10 4 6 +--R (54a b - 12a b - 99a b + 78a b )cos(x) +--R + +--R 4 10 6 8 8 6 10 4 5 +--R (216a b - 116a b - 4a b + 48a b )cos(x) +--R + +--R 4 10 6 8 8 6 10 4 12 2 4 +--R (54a b - 46a b + 259a b - 108a b - 36a b )cos(x) +--R + +--R 4 10 6 8 8 6 10 4 3 +--R (- 108a b + 24a b + 36a b - 48a b )cos(x) +--R + +--R 4 10 6 8 8 6 10 4 12 2 14 2 +--R (- 54a b + 12a b - 225a b + 30a b + 63a b + 6a )cos(x) +--R + +--R 8 6 12 2 14 +--R 81a b - 27a b - 6a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 12 4 10 2 2 12 4 10 6 8 9 +--R ((- 18a b + 30a b )cos(x) - 18a b - 24a b + 90a b )sin(x) +--R + +--R 13 3 11 4 13 3 11 3 +--R (- 36a b + 24a b )cos(x) + (- 36a b + 60a b )cos(x) +--R + +--R 13 3 11 5 9 2 +--R (40a b + 140a b + 12a b )cos(x) +--R + +--R 13 3 11 5 9 13 3 11 +--R (- 36a b - 48a b + 180a b )cos(x) - 68a b - 316a b +--R + +--R 5 9 7 7 +--R 36a b + 444a b +--R * +--R 8 +--R sin(x) +--R + +--R 2 12 4 10 4 +--R (- 360a b + 240a b )cos(x) +--R + +--R 14 2 12 4 10 3 +--R (8b - 212a b + 372a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 2 +--R (8b + 500a b + 1188a b - 448a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 14 2 12 +--R (8b - 188a b + 24a b + 636a b )cos(x) + 8b - 484a b +--R + +--R 4 10 6 8 8 6 +--R - 1352a b + 124a b + 1224a b +--R * +--R 7 +--R sin(x) +--R + +--R 13 3 11 6 3 11 5 +--R (- 36a b + 24a b )cos(x) - 36a b cos(x) +--R + +--R 13 3 11 5 9 4 +--R (104a b - 1388a b + 936a b )cos(x) +--R + +--R 13 3 11 5 9 3 +--R (64a b - 476a b + 1204a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 2 +--R (- 32a b + 2008a b + 3404a b - 1828a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 13 +--R (64a b - 456a b - 40a b + 1104a b )cos(x) + 92a b +--R + +--R 3 11 5 9 7 7 9 5 +--R - 1456a b - 3440a b + 608a b + 1988a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 12 4 10 6 +--R (- 306a b + 150a b )cos(x) +--R + +--R 14 2 12 4 10 5 +--R (- 16b - 332a b + 156a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 4 +--R (- 16b + 606a b - 1996a b + 1622a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 3 +--R (24b + 752a b + 308a b + 1292a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 2 +--R (24b - 166a b + 3754a b + 3390a b - 2370a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 14 +--R (- 8b + 4a b - 1632a b - 660a b + 1624a b )cos(x) - 8b +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R 290a b - 2852a b - 4616a b + 1508a b + 1838a b +--R * +--R 5 +--R sin(x) +--R + +--R 13 3 11 7 +--R (72a b - 120a b )cos(x) +--R + +--R 13 3 11 5 9 6 +--R (52a b - 1444a b + 756a b )cos(x) +--R + +--R 13 3 11 5 9 5 +--R (- 248a b - 1564a b + 1584a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 4 +--R (- 204a b + 2496a b + 388a b + 20a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 3 +--R (240a b + 3344a b + 1356a b - 740a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 2 +--R (212a b - 600a b + 1112a b + 1708a b - 800a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (- 64a b - 900a b - 3940a b - 564a b + 2108a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R - 60a b + 308a b - 3188a b - 3100a b + 1552a b + 936a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 12 4 10 8 +--R (36a b - 60a b )cos(x) +--R + +--R 14 2 12 4 10 7 +--R (- 24b + 240a b - 456a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 6 +--R (- 24b + 16a b - 3164a b + 2068a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 5 +--R (48b - 592a b - 2456a b + 3288a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 4 +--R (48b - 224a b + 6172a b + 1576a b - 2364a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 3 +--R (- 24b + 528a b + 5896a b + 820a b - 2876a b )cos(x) +--R + +--R 14 2 12 4 10 6 8 8 6 +--R - 24b + 320a b - 2548a b - 2432a b + 1200a b +--R + +--R 10 4 +--R 796a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (- 176a b - 2400a b - 4716a b + 736a b + 1852a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R - 148a b + 184a b - 1820a b - 976a b + 696a b + 240a b +--R * +--R 3 +--R sin(x) +--R + +--R 13 3 11 5 9 8 +--R (- 12a b + 84a b - 168a b )cos(x) +--R + +--R 13 3 11 5 9 7 +--R (- 168a b + 256a b - 520a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 6 +--R (- 132a b - 116a b - 2888a b + 2260a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 5 +--R (336a b - 160a b - 2456a b + 3132a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 4 +--R (300a b + 392a b + 5712a b + 740a b - 2524a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 3 +--R (- 168a b + 96a b + 5792a b - 532a b - 2620a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 +--R - 156a b - 228a b - 2632a b - 2664a b + 1336a b +--R + +--R 11 3 +--R 792a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R (- 192a b - 2680a b - 2736a b + 1312a b + 936a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R - 132a b + 112a b - 472a b - 120a b + 108a b + 24a b +--R * +--R 2 +--R sin(x) +--R + +--R 2 12 4 10 6 8 8 +--R (- 72a b + 44a b - 92a b )cos(x) +--R + +--R 2 12 4 10 6 8 7 +--R (- 360a b + 272a b - 248a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 6 +--R (- 144a b + 328a b - 1690a b + 1230a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 5 +--R (720a b - 32a b - 1564a b + 1548a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 4 +--R (504a b - 240a b + 3078a b - 308a b - 1042a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 3 +--R (- 360a b - 168a b + 3264a b - 916a b - 1028a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R - 288a b - 96a b - 1326a b - 894a b + 696a b +--R + +--R 12 2 +--R 240a b +--R * +--R 2 +--R cos(x) +--R + +--R 4 10 6 8 8 6 10 4 12 2 +--R (- 72a b - 1452a b - 632a b + 668a b + 240a b )cos(x) +--R + +--R 4 10 6 8 8 6 10 4 +--R - 36a b + 30a b - 28a b - 14a b +--R * +--R sin(x) +--R + +--R 3 11 5 9 7 7 8 +--R (- 108a b + 92a b - 32a b )cos(x) +--R + +--R 3 11 5 9 7 7 7 +--R (- 216a b + 184a b - 64a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 6 +--R (108a b - 24a b - 360a b + 264a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 5 +--R (432a b - 232a b - 332a b + 312a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 4 +--R (108a b - 92a b + 680a b - 216a b - 144a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 3 +--R (- 216a b + 48a b + 720a b - 312a b - 144a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 2 +--R (- 108a b + 24a b - 288a b - 48a b + 108a b + 24a b)cos(x) +--R + +--R 7 7 11 3 13 +--R (- 324a b + 108a b + 24a b)cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 11 5 9 2 3 11 5 9 7 7 9 +--R ((- 9a b + 15a b )cos(x) - 9a b - 12a b + 45a b )sin(x) +--R + +--R 2 12 4 10 4 2 12 4 10 3 +--R (- 9a b + 6a b )cos(x) + (- 18a b + 30a b )cos(x) +--R + +--R 2 12 4 10 6 8 2 +--R (2a b + 28a b + 42a b )cos(x) +--R + +--R 2 12 4 10 6 8 2 12 4 10 6 8 +--R (- 18a b - 24a b + 90a b )cos(x) - 25a b - 110a b + 63a b +--R + +--R 8 6 +--R 168a b +--R * +--R 8 +--R sin(x) +--R + +--R 13 3 11 5 13 3 11 5 9 4 +--R (18a b - 12a b )cos(x) + (18a b - 102a b + 60a b )cos(x) +--R + +--R 13 3 11 5 9 3 +--R (- 32a b - 190a b + 258a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 2 +--R (- 32a b - 14a b + 390a b + 40a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 13 3 11 +--R (22a b + 2a b + 102a b + 210a b )cos(x) + 22a b - 56a b +--R + +--R 5 9 7 7 9 5 +--R - 250a b + 68a b + 360a b +--R * +--R 7 +--R sin(x) +--R + +--R 2 12 4 10 6 2 12 4 10 5 +--R (- 9a b + 6a b )cos(x) + (198a b - 150a b )cos(x) +--R + +--R 2 12 4 10 6 8 4 +--R (223a b - 511a b + 270a b )cos(x) +--R + +--R 2 12 4 10 6 8 3 +--R (- 364a b - 874a b + 1202a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 2 +--R (- 385a b - 244a b + 1681a b - 236a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 2 12 4 10 +--R (230a b + 540a b + 298a b - 60a b )cos(x) + 235a b + 343a b +--R + +--R 6 8 8 6 10 4 +--R - 583a b - 275a b + 520a b +--R * +--R 6 +--R sin(x) +--R + +--R 3 11 5 9 6 13 3 11 5 9 5 +--R (- 63a b + 15a b )cos(x) + (- 8a b + 716a b - 510a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 4 +--R (- 8a b + 915a b - 1118a b + 619a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 3 +--R (12a b - 1388a b - 1658a b + 2638a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 2 +--R (12a b - 1577a b - 691a b + 2937a b - 429a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 13 +--R (- 4a b + 884a b + 1584a b - 144a b - 640a b )cos(x) - 4a b +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R 937a b + 1322a b - 1180a b - 770a b + 463a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 12 4 10 7 2 12 4 10 6 8 6 +--R (36a b - 60a b )cos(x) + (26a b - 371a b + 144a b )cos(x) +--R + +--R 2 12 4 10 6 8 5 +--R (- 124a b + 1288a b - 588a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 4 +--R (- 102a b + 2265a b - 871a b + 268a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 3 +--R (120a b - 2468a b - 1782a b + 3110a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 2 +--R (106a b - 3387a b - 1832a b + 3431a b - 142a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (- 32a b + 1620a b + 1870a b - 972a b - 806a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R - 30a b + 1873a b + 2093a b - 1595a b - 991a b + 234a b +--R * +--R 4 +--R sin(x) +--R + +--R 3 11 5 9 8 13 3 11 5 9 7 +--R (18a b - 30a b )cos(x) + (- 12a b + 120a b - 228a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 6 +--R (- 12a b + 8a b - 898a b + 578a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 5 +--R (24a b - 296a b + 1562a b - 216a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 4 +--R (24a b - 112a b + 3824a b - 838a b - 426a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 3 +--R (- 12a b + 264a b - 2632a b - 1090a b + 2042a b )cos(x) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (- 12a b + 160a b - 4802a b - 1816a b + 2856a b + 206a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R (- 88a b + 1590a b + 1002a b - 1042a b - 454a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R - 74a b + 2198a b + 1772a b - 1430a b - 750a b + 60a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 12 4 10 6 8 8 +--R (- 6a b + 42a b - 84a b )cos(x) +--R + +--R 2 12 4 10 6 8 7 +--R (- 84a b + 128a b - 260a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 6 +--R (- 66a b - 58a b - 733a b + 656a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 5 +--R (168a b - 80a b + 950a b + 114a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 4 +--R (150a b + 196a b + 2901a b - 677a b - 584a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 3 +--R (- 84a b + 48a b - 1460a b - 350a b + 682a b )cos(x) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (- 78a b - 114a b - 3539a b - 804a b + 1601a b + 198a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 4 10 6 8 8 6 10 4 12 2 4 10 +--R (- 96a b + 838a b + 168a b - 454a b - 120a b )cos(x) - 66a b +--R + +--R 6 8 8 6 10 4 12 2 14 +--R 1523a b + 757a b - 789a b - 327a b + 6a +--R * +--R 2 +--R sin(x) +--R + +--R 3 11 5 9 7 7 8 +--R (- 36a b + 22a b - 46a b )cos(x) +--R + +--R 3 11 5 9 7 7 7 +--R (- 180a b + 136a b - 124a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 6 +--R (- 72a b + 164a b - 467a b + 363a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 5 +--R (360a b - 16a b + 136a b + 162a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 4 +--R (252a b - 120a b + 1323a b - 406a b - 257a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 3 +--R (- 180a b - 84a b - 204a b - 134a b + 86a b )cos(x) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 2 +--R (- 144a b - 48a b - 1365a b - 87a b + 510a b + 60a b)cos(x) +--R + +--R 5 9 7 7 9 5 11 3 13 5 9 +--R (- 36a b + 192a b - 28a b - 68a b - 12a b)cos(x) - 18a b +--R + +--R 7 7 9 5 11 3 13 +--R 555a b + 130a b - 235a b - 72a b +--R * +--R sin(x) +--R + +--R 4 10 6 8 8 6 8 +--R (- 54a b + 46a b - 16a b )cos(x) +--R + +--R 4 10 6 8 8 6 7 +--R (- 108a b + 92a b - 32a b )cos(x) +--R + +--R 4 10 6 8 8 6 10 4 6 +--R (54a b - 12a b - 99a b + 78a b )cos(x) +--R + +--R 4 10 6 8 8 6 10 4 5 +--R (216a b - 116a b - 4a b + 48a b )cos(x) +--R + +--R 4 10 6 8 8 6 10 4 12 2 4 +--R (54a b - 46a b + 259a b - 108a b - 36a b )cos(x) +--R + +--R 4 10 6 8 8 6 10 4 3 +--R (- 108a b + 24a b + 36a b - 48a b )cos(x) +--R + +--R 4 10 6 8 8 6 10 4 12 2 14 2 8 6 +--R (- 54a b + 12a b - 225a b + 30a b + 63a b + 6a )cos(x) + 81a b +--R + +--R 12 2 14 +--R - 27a b - 6a +--R / +--R 2 16 4 14 4 2 16 4 14 6 12 2 +--R (6a b - 6a b )cos(x) + (- 12a b - 24a b + 36a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 +--R 6a b + 30a b + 18a b - 54a b +--R * +--R 8 +--R sin(x) +--R + +--R 17 3 15 5 17 3 15 5 13 4 +--R (12a b - 12a b )cos(x) + (12a b + 48a b - 60a b )cos(x) +--R + +--R 17 3 15 5 13 3 +--R (- 24a b - 48a b + 72a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 2 +--R (- 24a b - 168a b - 72a b + 264a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 17 +--R (12a b + 60a b + 36a b - 108a b )cos(x) + 12a b +--R + +--R 3 15 5 13 7 11 9 9 +--R 120a b + 240a b - 120a b - 252a b +--R * +--R 7 +--R sin(x) +--R + +--R 2 16 4 14 6 2 16 4 14 5 +--R (6a b - 6a b )cos(x) + (132a b - 132a b )cos(x) +--R + +--R 2 16 4 14 6 12 4 +--R (114a b + 84a b - 198a b )cos(x) +--R + +--R 2 16 4 14 6 12 3 +--R (- 264a b - 336a b + 600a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 2 +--R (- 246a b - 750a b + 318a b + 678a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 2 16 +--R (132a b + 468a b + 12a b - 612a b )cos(x) + 126a b +--R + +--R 4 14 6 12 8 10 10 8 +--R 672a b + 492a b - 816a b - 474a b +--R * +--R 6 +--R sin(x) +--R + +--R 3 15 5 13 6 3 15 5 13 5 +--R (60a b - 60a b )cos(x) + (588a b - 588a b )cos(x) +--R + +--R 3 15 5 13 7 11 4 +--R (408a b - 216a b - 192a b )cos(x) +--R + +--R 3 15 5 13 7 11 3 +--R (- 1176a b - 816a b + 1992a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 2 +--R (- 996a b - 1380a b + 1620a b + 756a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 3 15 +--R (588a b + 1404a b - 540a b - 1452a b )cos(x) + 528a b +--R + +--R 5 13 7 11 9 9 11 7 +--R 1656a b + 24a b - 1752a b - 456a b +--R * +--R 5 +--R sin(x) +--R + +--R 4 14 6 12 6 4 14 6 12 5 +--R (234a b - 234a b )cos(x) + (1380a b - 1380a b )cos(x) +--R + +--R 4 14 6 12 8 10 4 +--R (678a b - 936a b + 258a b )cos(x) +--R + +--R 4 14 6 12 8 10 3 +--R (- 2760a b - 720a b + 3480a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 2 +--R (- 2058a b - 906a b + 2706a b + 258a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 4 14 +--R (1380a b + 2100a b - 1620a b - 1860a b )cos(x) + 1146a b +--R + +--R 6 12 8 10 10 8 12 6 +--R 2076a b - 1104a b - 1884a b - 234a b +--R * +--R 4 +--R sin(x) +--R + +--R 5 13 7 11 6 5 13 7 11 5 +--R (456a b - 456a b )cos(x) + (1860a b - 1860a b )cos(x) +--R + +--R 5 13 7 11 9 9 4 +--R (492a b - 1248a b + 756a b )cos(x) +--R + +--R 5 13 7 11 9 9 3 +--R (- 3720a b + 240a b + 3480a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 2 +--R (- 2352a b + 384a b + 2160a b - 192a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 5 13 +--R (1860a b + 1620a b - 2100a b - 1380a b )cos(x) + 1404a b +--R + +--R 7 11 9 9 11 7 13 5 +--R 1320a b - 1536a b - 1128a b - 60a b +--R * +--R 3 +--R sin(x) +--R + +--R 6 12 8 10 6 6 12 8 10 5 +--R (474a b - 474a b )cos(x) + (1452a b - 1452a b )cos(x) +--R + +--R 6 12 8 10 10 8 4 +--R (30a b - 708a b + 678a b )cos(x) +--R + +--R 6 12 8 10 10 8 3 +--R (- 2904a b + 912a b + 1992a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 2 +--R (- 1482a b + 846a b + 834a b - 198a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 6 12 +--R (1452a b + 540a b - 1404a b - 588a b )cos(x) + 978a b +--R + +--R 8 10 10 8 12 6 14 4 +--R 336a b - 924a b - 384a b - 6a b +--R * +--R 2 +--R sin(x) +--R + +--R 7 11 9 9 6 7 11 9 9 5 +--R (252a b - 252a b )cos(x) + (612a b - 612a b )cos(x) +--R + +--R 7 11 9 9 11 7 4 +--R (- 144a b - 120a b + 264a b )cos(x) +--R + +--R 7 11 9 9 11 7 3 +--R (- 1224a b + 624a b + 600a b )cos(x) +--R + +--R 7 11 9 9 11 7 13 5 2 +--R (- 468a b + 396a b + 132a b - 60a b )cos(x) +--R + +--R 7 11 9 9 11 7 13 5 7 11 +--R (612a b - 12a b - 468a b - 132a b )cos(x) + 360a b +--R + +--R 9 9 11 7 13 5 +--R - 24a b - 264a b - 72a b +--R * +--R sin(x) +--R + +--R 8 10 10 8 6 8 10 10 8 5 +--R (54a b - 54a b )cos(x) + (108a b - 108a b )cos(x) +--R + +--R 8 10 10 8 12 6 4 +--R (- 54a b + 18a b + 36a b )cos(x) +--R + +--R 8 10 10 8 12 6 3 +--R (- 216a b + 144a b + 72a b )cos(x) +--R + +--R 8 10 10 8 12 6 14 4 2 +--R (- 54a b + 54a b + 6a b - 6a b )cos(x) +--R + +--R 8 10 10 8 12 6 14 4 8 10 10 8 +--R (108a b - 36a b - 60a b - 12a b )cos(x) + 54a b - 18a b +--R + +--R 12 6 14 4 +--R - 30a b - 6a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 17 3 15 4 +--R (12a b - 12a b )cos(x) +--R + +--R 17 3 15 5 13 2 17 3 15 +--R (- 24a b - 48a b + 72a b )cos(x) + 12a b + 60a b +--R + +--R 5 13 7 11 +--R 36a b - 108a b +--R * +--R 8 +--R sin(x) +--R + +--R 18 2 16 5 18 2 16 4 14 4 +--R (24b - 24a b )cos(x) + (24b + 96a b - 120a b )cos(x) +--R + +--R 18 2 16 4 14 3 +--R (- 48b - 96a b + 144a b )cos(x) +--R + +--R 18 2 16 4 14 6 12 2 +--R (- 48b - 336a b - 144a b + 528a b )cos(x) +--R + +--R 18 2 16 4 14 6 12 18 2 16 +--R (24b + 120a b + 72a b - 216a b )cos(x) + 24b + 240a b +--R + +--R 4 14 6 12 8 10 +--R 480a b - 240a b - 504a b +--R * +--R 7 +--R sin(x) +--R + +--R 17 3 15 6 17 3 15 5 +--R (12a b - 12a b )cos(x) + (264a b - 264a b )cos(x) +--R + +--R 17 3 15 5 13 4 +--R (228a b + 168a b - 396a b )cos(x) +--R + +--R 17 3 15 5 13 3 +--R (- 528a b - 672a b + 1200a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 2 +--R (- 492a b - 1500a b + 636a b + 1356a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 17 +--R (264a b + 936a b + 24a b - 1224a b )cos(x) + 252a b +--R + +--R 3 15 5 13 7 11 9 9 +--R 1344a b + 984a b - 1632a b - 948a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 16 4 14 6 2 16 4 14 5 +--R (120a b - 120a b )cos(x) + (1176a b - 1176a b )cos(x) +--R + +--R 2 16 4 14 6 12 4 +--R (816a b - 432a b - 384a b )cos(x) +--R + +--R 2 16 4 14 6 12 3 +--R (- 2352a b - 1632a b + 3984a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 2 +--R (- 1992a b - 2760a b + 3240a b + 1512a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 2 16 +--R (1176a b + 2808a b - 1080a b - 2904a b )cos(x) + 1056a b +--R + +--R 4 14 6 12 8 10 10 8 +--R 3312a b + 48a b - 3504a b - 912a b +--R * +--R 5 +--R sin(x) +--R + +--R 3 15 5 13 6 3 15 5 13 5 +--R (468a b - 468a b )cos(x) + (2760a b - 2760a b )cos(x) +--R + +--R 3 15 5 13 7 11 4 +--R (1356a b - 1872a b + 516a b )cos(x) +--R + +--R 3 15 5 13 7 11 3 +--R (- 5520a b - 1440a b + 6960a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 2 +--R (- 4116a b - 1812a b + 5412a b + 516a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 3 15 +--R (2760a b + 4200a b - 3240a b - 3720a b )cos(x) + 2292a b +--R + +--R 5 13 7 11 9 9 11 7 +--R 4152a b - 2208a b - 3768a b - 468a b +--R * +--R 4 +--R sin(x) +--R + +--R 4 14 6 12 6 4 14 6 12 5 +--R (912a b - 912a b )cos(x) + (3720a b - 3720a b )cos(x) +--R + +--R 4 14 6 12 8 10 4 +--R (984a b - 2496a b + 1512a b )cos(x) +--R + +--R 4 14 6 12 8 10 3 +--R (- 7440a b + 480a b + 6960a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 2 +--R (- 4704a b + 768a b + 4320a b - 384a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 4 14 +--R (3720a b + 3240a b - 4200a b - 2760a b )cos(x) + 2808a b +--R + +--R 6 12 8 10 10 8 12 6 +--R 2640a b - 3072a b - 2256a b - 120a b +--R * +--R 3 +--R sin(x) +--R + +--R 5 13 7 11 6 5 13 7 11 5 +--R (948a b - 948a b )cos(x) + (2904a b - 2904a b )cos(x) +--R + +--R 5 13 7 11 9 9 4 +--R (60a b - 1416a b + 1356a b )cos(x) +--R + +--R 5 13 7 11 9 9 3 +--R (- 5808a b + 1824a b + 3984a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 2 +--R (- 2964a b + 1692a b + 1668a b - 396a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 5 13 +--R (2904a b + 1080a b - 2808a b - 1176a b )cos(x) + 1956a b +--R + +--R 7 11 9 9 11 7 13 5 +--R 672a b - 1848a b - 768a b - 12a b +--R * +--R 2 +--R sin(x) +--R + +--R 6 12 8 10 6 6 12 8 10 5 +--R (504a b - 504a b )cos(x) + (1224a b - 1224a b )cos(x) +--R + +--R 6 12 8 10 10 8 4 +--R (- 288a b - 240a b + 528a b )cos(x) +--R + +--R 6 12 8 10 10 8 3 +--R (- 2448a b + 1248a b + 1200a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 2 +--R (- 936a b + 792a b + 264a b - 120a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 6 12 +--R (1224a b - 24a b - 936a b - 264a b )cos(x) + 720a b +--R + +--R 8 10 10 8 12 6 +--R - 48a b - 528a b - 144a b +--R * +--R sin(x) +--R + +--R 7 11 9 9 6 7 11 9 9 5 +--R (108a b - 108a b )cos(x) + (216a b - 216a b )cos(x) +--R + +--R 7 11 9 9 11 7 4 +--R (- 108a b + 36a b + 72a b )cos(x) +--R + +--R 7 11 9 9 11 7 3 +--R (- 432a b + 288a b + 144a b )cos(x) +--R + +--R 7 11 9 9 11 7 13 5 2 +--R (- 108a b + 108a b + 12a b - 12a b )cos(x) +--R + +--R 7 11 9 9 11 7 13 5 7 11 9 9 +--R (216a b - 72a b - 120a b - 24a b )cos(x) + 108a b - 36a b +--R + +--R 11 7 13 5 +--R - 60a b - 12a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 16 4 14 4 2 16 4 14 6 12 2 +--R (6a b - 6a b )cos(x) + (- 12a b - 24a b + 36a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 +--R 6a b + 30a b + 18a b - 54a b +--R * +--R 8 +--R sin(x) +--R + +--R 17 3 15 5 17 3 15 5 13 4 +--R (12a b - 12a b )cos(x) + (12a b + 48a b - 60a b )cos(x) +--R + +--R 17 3 15 5 13 3 +--R (- 24a b - 48a b + 72a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 2 +--R (- 24a b - 168a b - 72a b + 264a b )cos(x) +--R + +--R 17 3 15 5 13 7 11 17 3 15 +--R (12a b + 60a b + 36a b - 108a b )cos(x) + 12a b + 120a b +--R + +--R 5 13 7 11 9 9 +--R 240a b - 120a b - 252a b +--R * +--R 7 +--R sin(x) +--R + +--R 2 16 4 14 6 2 16 4 14 5 +--R (6a b - 6a b )cos(x) + (132a b - 132a b )cos(x) +--R + +--R 2 16 4 14 6 12 4 +--R (114a b + 84a b - 198a b )cos(x) +--R + +--R 2 16 4 14 6 12 3 +--R (- 264a b - 336a b + 600a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 2 +--R (- 246a b - 750a b + 318a b + 678a b )cos(x) +--R + +--R 2 16 4 14 6 12 8 10 2 16 +--R (132a b + 468a b + 12a b - 612a b )cos(x) + 126a b +--R + +--R 4 14 6 12 8 10 10 8 +--R 672a b + 492a b - 816a b - 474a b +--R * +--R 6 +--R sin(x) +--R + +--R 3 15 5 13 6 3 15 5 13 5 +--R (60a b - 60a b )cos(x) + (588a b - 588a b )cos(x) +--R + +--R 3 15 5 13 7 11 4 +--R (408a b - 216a b - 192a b )cos(x) +--R + +--R 3 15 5 13 7 11 3 +--R (- 1176a b - 816a b + 1992a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 2 +--R (- 996a b - 1380a b + 1620a b + 756a b )cos(x) +--R + +--R 3 15 5 13 7 11 9 9 3 15 +--R (588a b + 1404a b - 540a b - 1452a b )cos(x) + 528a b +--R + +--R 5 13 7 11 9 9 11 7 +--R 1656a b + 24a b - 1752a b - 456a b +--R * +--R 5 +--R sin(x) +--R + +--R 4 14 6 12 6 4 14 6 12 5 +--R (234a b - 234a b )cos(x) + (1380a b - 1380a b )cos(x) +--R + +--R 4 14 6 12 8 10 4 +--R (678a b - 936a b + 258a b )cos(x) +--R + +--R 4 14 6 12 8 10 3 +--R (- 2760a b - 720a b + 3480a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 2 +--R (- 2058a b - 906a b + 2706a b + 258a b )cos(x) +--R + +--R 4 14 6 12 8 10 10 8 4 14 +--R (1380a b + 2100a b - 1620a b - 1860a b )cos(x) + 1146a b +--R + +--R 6 12 8 10 10 8 12 6 +--R 2076a b - 1104a b - 1884a b - 234a b +--R * +--R 4 +--R sin(x) +--R + +--R 5 13 7 11 6 5 13 7 11 5 +--R (456a b - 456a b )cos(x) + (1860a b - 1860a b )cos(x) +--R + +--R 5 13 7 11 9 9 4 +--R (492a b - 1248a b + 756a b )cos(x) +--R + +--R 5 13 7 11 9 9 3 +--R (- 3720a b + 240a b + 3480a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 2 +--R (- 2352a b + 384a b + 2160a b - 192a b )cos(x) +--R + +--R 5 13 7 11 9 9 11 7 5 13 +--R (1860a b + 1620a b - 2100a b - 1380a b )cos(x) + 1404a b +--R + +--R 7 11 9 9 11 7 13 5 +--R 1320a b - 1536a b - 1128a b - 60a b +--R * +--R 3 +--R sin(x) +--R + +--R 6 12 8 10 6 6 12 8 10 5 +--R (474a b - 474a b )cos(x) + (1452a b - 1452a b )cos(x) +--R + +--R 6 12 8 10 10 8 4 +--R (30a b - 708a b + 678a b )cos(x) +--R + +--R 6 12 8 10 10 8 3 +--R (- 2904a b + 912a b + 1992a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 2 +--R (- 1482a b + 846a b + 834a b - 198a b )cos(x) +--R + +--R 6 12 8 10 10 8 12 6 6 12 +--R (1452a b + 540a b - 1404a b - 588a b )cos(x) + 978a b +--R + +--R 8 10 10 8 12 6 14 4 +--R 336a b - 924a b - 384a b - 6a b +--R * +--R 2 +--R sin(x) +--R + +--R 7 11 9 9 6 7 11 9 9 5 +--R (252a b - 252a b )cos(x) + (612a b - 612a b )cos(x) +--R + +--R 7 11 9 9 11 7 4 +--R (- 144a b - 120a b + 264a b )cos(x) +--R + +--R 7 11 9 9 11 7 3 +--R (- 1224a b + 624a b + 600a b )cos(x) +--R + +--R 7 11 9 9 11 7 13 5 2 +--R (- 468a b + 396a b + 132a b - 60a b )cos(x) +--R + +--R 7 11 9 9 11 7 13 5 7 11 9 9 +--R (612a b - 12a b - 468a b - 132a b )cos(x) + 360a b - 24a b +--R + +--R 11 7 13 5 +--R - 264a b - 72a b +--R * +--R sin(x) +--R + +--R 8 10 10 8 6 8 10 10 8 5 +--R (54a b - 54a b )cos(x) + (108a b - 108a b )cos(x) +--R + +--R 8 10 10 8 12 6 4 +--R (- 54a b + 18a b + 36a b )cos(x) +--R + +--R 8 10 10 8 12 6 3 +--R (- 216a b + 144a b + 72a b )cos(x) +--R + +--R 8 10 10 8 12 6 14 4 2 +--R (- 54a b + 54a b + 6a b - 6a b )cos(x) +--R + +--R 8 10 10 8 12 6 14 4 8 10 10 8 +--R (108a b - 36a b - 60a b - 12a b )cos(x) + 54a b - 18a b +--R + +--R 12 6 14 4 +--R - 30a b - 6a b +--R Type: Expression Integer +--E 122 + +--S 123 of 532 +t0722:= (a*cot(x)+b*csc(x))^3 +--R +--R +--R 3 3 2 2 2 2 3 3 +--R (115) b csc(x) + 3a b cot(x)csc(x) + 3a b cot(x) csc(x) + a cot(x) +--R Type: Expression Integer +--E 123 + +--S 124 of 532 +r0722:= -(a+b)^3/(4-4*cos(x))-(a-b)^3/(4*cos(x)+4)-1/4*(2*a-b)*(a+b)^2*log(1-cos(x))-1/4*(a-b)^2*(2*a+b)*log(cos(x)+1) +--R +--R +--R (116) +--R 3 2 3 2 3 2 3 +--R ((- b + 3a b - 2a )cos(x) + b - 3a b + 2a )log(cos(x) + 1) +--R + +--R 3 2 3 2 3 2 3 +--R ((b - 3a b - 2a )cos(x) - b + 3a b + 2a )log(- cos(x) + 1) +--R + +--R 3 2 2 3 +--R (2b + 6a b)cos(x) + 6a b + 2a +--R / +--R 2 +--R 4cos(x) - 4 +--R Type: Expression Integer +--E 124 + +--S 125 of 532 +a0722:= integrate(t0722,x) +--R +--R +--R (117) +--R 3 2 3 2 3 2 3 sin(x) +--R ((2b - 6a b - 4a )cos(x) - 2b + 6a b + 4a )log(----------) +--R cos(x) + 1 +--R + +--R 3 2 3 2 2 3 2 +--R (4a cos(x) - 4a )log(----------) + (3a b + a )cos(x) +--R cos(x) + 1 +--R + +--R 3 2 2 3 +--R (2b + 6a b)cos(x) + 3a b + a +--R / +--R 2 +--R 4cos(x) - 4 +--R Type: Union(Expression Integer,...) +--E 125 + +--S 126 of 532 +m0722:= a0722-r0722 +--R +--R +--R (118) +--R 3 2 3 sin(x) 3 2 3 +--R (2b - 6a b - 4a )log(----------) + (b - 3a b + 2a )log(cos(x) + 1) +--R cos(x) + 1 +--R + +--R 3 2 3 2 3 2 3 +--R 4a log(----------) + (- b + 3a b + 2a )log(- cos(x) + 1) + 3a b + a +--R cos(x) + 1 +--R / +--R 4 +--R Type: Expression Integer +--E 126 + +--S 127 of 532 +d0722:= D(m0722,x) +--R +--R +--R (119) +--R 3 2 3 2 3 2 3 3 +--R (b - 3a b - 2a )cos(x)sin(x) + (b - 3a b - 2a )cos(x) +--R + +--R 3 2 3 +--R (- b + 3a b + 2a )cos(x) +--R / +--R 2 +--R (2cos(x) - 2)sin(x) +--R Type: Expression Integer +--E 127 + +--S 128 of 532 +t0723:= (a*cot(x)+b*csc(x))^5 +--R +--R +--R (120) +--R 5 5 4 4 2 3 2 3 +--R b csc(x) + 5a b cot(x)csc(x) + 10a b cot(x) csc(x) +--R + +--R 3 2 3 2 4 4 5 5 +--R 10a b cot(x) csc(x) + 5a b cot(x) csc(x) + a cot(x) +--R Type: Expression Integer +--E 128 + +--S 129 of 532 +r0723:= -1/16*(a+b)^5/(1-cos(x))^2+(7*a-3*b)*(a+b)^4/(16-16*cos(x))-1/16*(a-b)^5/(cos(x)+1)^2+(a-b)^4*(7*a+3*b)/(16*cos(x)+16)+1/16*(a+b)^3*(8*a^2-9*a*b+3*b^2)*log(1-cos(x))+1/16*(a-b)^3*(8*a^2+9*a*b+3*b^2)*log(cos(x)+1) +--R +--R +--R (121) +--R 5 2 3 4 5 4 +--R (- 3b + 10a b - 15a b + 8a )cos(x) +--R + +--R 5 2 3 4 5 2 5 2 3 4 5 +--R (6b - 20a b + 30a b - 16a )cos(x) - 3b + 10a b - 15a b + 8a +--R * +--R log(cos(x) + 1) +--R + +--R 5 2 3 4 5 4 +--R (3b - 10a b + 15a b + 8a )cos(x) +--R + +--R 5 2 3 4 5 2 5 2 3 4 5 +--R (- 6b + 20a b - 30a b - 16a )cos(x) + 3b - 10a b + 15a b + 8a +--R * +--R log(- cos(x) + 1) +--R + +--R 5 2 3 4 3 3 2 5 2 +--R (6b - 20a b - 50a b)cos(x) + (- 80a b - 16a )cos(x) +--R + +--R 5 2 3 4 4 3 2 5 +--R (- 10b - 20a b + 30a b)cos(x) - 20a b + 40a b + 12a +--R / +--R 4 2 +--R 16cos(x) - 32cos(x) + 16 +--R Type: Expression Integer +--E 129 + +--S 130 of 532 +a0723:= integrate(t0723,x) +--R +--R +--R (122) +--R 5 2 3 4 5 4 +--R (12b - 40a b + 60a b + 32a )cos(x) +--R + +--R 5 2 3 4 5 2 5 2 3 4 5 +--R (- 24b + 80a b - 120a b - 64a )cos(x) + 12b - 40a b + 60a b + 32a +--R * +--R sin(x) +--R log(----------) +--R cos(x) + 1 +--R + +--R 5 4 5 2 5 2 +--R (- 32a cos(x) + 64a cos(x) - 32a )log(----------) +--R cos(x) + 1 +--R + +--R 4 3 2 5 4 5 2 3 4 3 +--R (15a b - 50a b - 13a )cos(x) + (12b - 40a b - 100a b)cos(x) +--R + +--R 4 3 2 5 2 5 2 3 4 +--R (- 30a b - 60a b - 6a )cos(x) + (- 20b - 40a b + 60a b)cos(x) +--R + +--R 4 3 2 5 +--R - 25a b + 30a b + 11a +--R / +--R 4 2 +--R 32cos(x) - 64cos(x) + 32 +--R Type: Union(Expression Integer,...) +--E 130 + +--S 131 of 532 +m0723:= a0723-r0723 +--R +--R +--R (123) +--R 5 2 3 4 5 sin(x) +--R (12b - 40a b + 60a b + 32a )log(----------) +--R cos(x) + 1 +--R + +--R 5 2 3 4 5 5 2 +--R (6b - 20a b + 30a b - 16a )log(cos(x) + 1) - 32a log(----------) +--R cos(x) + 1 +--R + +--R 5 2 3 4 5 4 3 2 5 +--R (- 6b + 20a b - 30a b - 16a )log(- cos(x) + 1) + 15a b - 50a b - 13a +--R / +--R 32 +--R Type: Expression Integer +--E 131 + +--S 132 of 532 +d0723:= D(m0723,x) +--R +--R +--R (124) +--R 5 2 3 4 5 2 +--R (3b - 10a b + 15a b + 8a )cos(x)sin(x) +--R + +--R 5 2 3 4 5 3 5 2 3 4 5 +--R (3b - 10a b + 15a b + 8a )cos(x) + (- 3b + 10a b - 15a b - 8a )cos(x) +--R / +--R 2 +--R (8cos(x) - 8)sin(x) +--R Type: Expression Integer +--E 132 + +--S 133 of 532 +t0724:= 1/(a*cot(x)+b*csc(x))^2 +--R +--R +--R 1 +--R (125) ----------------------------------------- +--R 2 2 2 2 +--R b csc(x) + 2a b cot(x)csc(x) + a cot(x) +--R Type: Expression Integer +--E 133 + +--S 134 of 532 +r0724:= -x/a^2+2*b*atanh((a-b)*tan(1/2*x)/(a^2-b^2)^(1/2))/a^2/(a^2-b^2)^(1/2)+sin(x)/a/(b+a*cos(x)) +--R +--R +--R (126) +--R x +--R (b - a)tan(-) +--R 2 2 +--R (- 2a b cos(x) - 2b )atanh(-------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R | 2 2 +--R (a sin(x) - a x cos(x) - b x)\|- b + a +--R / +--R +---------+ +--R 3 2 | 2 2 +--R (a cos(x) + a b)\|- b + a +--R Type: Expression Integer +--E 134 + +--S 135 of 532 +a0724:= integrate(t0724,x) +--R +--R +--R (127) +--R [ +--R +---------+ +--R | 2 2 2 2 +--R 2 (- b cos(x) - a)\|- b + a + (b - a )sin(x) +--R (a b cos(x) + b )log(----------------------------------------------) +--R a cos(x) + b +--R + +--R +---------+ +--R | 2 2 +--R (a sin(x) - a x cos(x) - b x)\|- b + a +--R / +--R +---------+ +--R 3 2 | 2 2 +--R (a cos(x) + a b)\|- b + a +--R , +--R +--R +-------+ +--R | 2 2 +--R 2 sin(x)\|b - a +--R (2a b cos(x) + 2b )atan(---------------------) +--R (b + a)cos(x) + b + a +--R + +--R +-------+ +--R | 2 2 +--R (a sin(x) - a x cos(x) - b x)\|b - a +--R / +--R +-------+ +--R 3 2 | 2 2 +--R (a cos(x) + a b)\|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 135 + +--S 136 of 532 +m0724a:= a0724.1-r0724 +--R +--R +--R (128) +--R +---------+ +--R | 2 2 2 2 +--R (- b cos(x) - a)\|- b + a + (b - a )sin(x) +--R b log(----------------------------------------------) +--R a cos(x) + b +--R + +--R x +--R (b - a)tan(-) +--R 2 +--R 2b atanh(-------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 2 | 2 2 +--R a \|- b + a +--R Type: Expression Integer +--E 136 + +--S 137 of 532 +d0724a:= D(m0724a,x) +--R +--R +--R (129) +--R 2 2 2 2 2 x 2 +--R ((b - a b)sin(x) - a b cos(x) + (- b - a b)cos(x) - b )tan(-) +--R 2 +--R + +--R 2 2 2 2 2 +--R (b + a b)sin(x) + a b cos(x) + (b - a b)cos(x) - b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 3 2 x 2 +--R ((b - a b)cos(x) + b - a b)sin(x)tan(-) +--R 2 +--R + +--R 3 2 3 2 +--R ((b - a b)cos(x) - b + a b)sin(x) +--R / +--R 2 2 3 2 3 2 2 3 4 2 2 3 +--R ((a b - a b)cos(x) + (a b - a b + a b - a )cos(x) + a b - a b) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 3 2 3 2 2 3 4 2 2 3 +--R (a b + a b)cos(x) + (a b + a b + a b + a )cos(x) + a b + a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 3 3 2 4 5 4 2 3 3 2 4 +--R ((- a b + a b + a b - a )cos(x) - a b + a b + a b - a b)sin(x) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 3 3 2 4 5 4 2 3 3 2 4 +--R ((- a b - a b + a b + a )cos(x) - a b - a b + a b + a b)sin(x) +--R Type: Expression Integer +--E 137 + +--S 138 of 532 +m0724b:= a0724.2-r0724 +--R +--R +--R (130) +--R x +-------+ +--R +-------+ (b - a)tan(-) +---------+ | 2 2 +--R | 2 2 2 | 2 2 sin(x)\|b - a +--R 2b\|b - a atanh(-------------) + 2b\|- b + a atan(---------------------) +--R +---------+ (b + a)cos(x) + b + a +--R | 2 2 +--R \|- b + a +--R ---------------------------------------------------------------------------- +--R +---------+ +-------+ +--R 2 | 2 2 | 2 2 +--R a \|- b + a \|b - a +--R Type: Expression Integer +--E 138 + +--S 139 of 532 +d0724b:= D(m0724b,x) +--R +--R +--R (131) +--R 2 2 2 2 2 x 2 +--R ((b - a b)sin(x) + (b - 3a b)cos(x) - 4a b cos(x) - b - a b)tan(-) +--R 2 +--R + +--R 2 2 2 2 2 +--R (b + 3a b)sin(x) + (b + a b)cos(x) - b - a b +--R / +--R 2 2 3 4 2 2 2 4 2 2 2 4 +--R (a b - 2a b + a )sin(x) + (a b - a )cos(x) + (2a b - 2a )cos(x) +--R + +--R 2 2 4 +--R a b - a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 4 2 2 2 3 4 2 +--R (a b - a )sin(x) + (a b + 2a b + a )cos(x) +--R + +--R 2 2 3 4 2 2 3 4 +--R (2a b + 4a b + 2a )cos(x) + a b + 2a b + a +--R Type: Expression Integer +--E 139 + +--S 140 of 532 +t0725:= 1/(a*cot(x)+b*csc(x))^4 +--R +--R +--R (132) +--R 1 +--R / +--R 4 4 3 3 2 2 2 2 3 3 +--R b csc(x) + 4a b cot(x)csc(x) + 6a b cot(x) csc(x) + 4a b cot(x) csc(x) +--R + +--R 4 4 +--R a cot(x) +--R Type: Expression Integer +--E 140 + +--S 141 of 532 +r0725:= x/a^4+5*b*atanh((a-b)*tan(1/2*x)/(a^2-b^2)^(1/2))/a^2/(a^2-b^2)^(3/2)-6*b^3*atanh((a-b)*tan(1/2*x)/(a^2-b^2)^(1/2))/a^4/(a^2-b^2)^(3/2)-8*b*atanh((a-b)*tan(1/2*x)/(a^2-b^2)^(1/2))/a^4/(a^2-b^2)^(1/2)+1/3*(a^2-b^2)*sin(x)/a^3/(b+a*cos(x))^3+7/6*b*sin(x)/a^3/(b+a*cos(x))^2-4/3*sin(x)/a/(a^2-b^2)/(b+a*cos(x))+11/6*b^2*sin(x)/a^3/(a^2-b^2)/(b+a*cos(x)) +--R +--R +--R (133) +--R 3 3 5 3 2 4 4 2 2 +--R (12a b - 18a b)cos(x) + (36a b - 54a b )cos(x) +--R + +--R 5 3 3 6 2 4 +--R (36a b - 54a b )cos(x) + 12b - 18a b +--R * +--R x +--R (b - a)tan(-) +--R 2 +--R atanh(-------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 2 5 2 2 3 4 4 3 2 +--R (- 11a b + 8a )cos(x) + (- 15a b + 9a b)cos(x) - 6a b + 5a b +--R + +--R 5 +--R - 2a +--R * +--R sin(x) +--R + +--R 3 2 5 3 2 3 4 2 +--R (6a b - 6a )x cos(x) + (18a b - 18a b)x cos(x) +--R + +--R 4 3 2 5 2 3 +--R (18a b - 18a b )x cos(x) + (6b - 6a b )x +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 7 2 9 3 6 3 8 2 +--R (6a b - 6a )cos(x) + (18a b - 18a b)cos(x) +--R + +--R 5 4 7 2 4 5 6 3 +--R (18a b - 18a b )cos(x) + 6a b - 6a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 141 + +--S 142 of 532 +a0725:= integrate(t0725,x) +--R +--R +--R (134) +--R [ +--R 3 3 5 3 2 4 4 2 2 +--R (6a b - 9a b)cos(x) + (18a b - 27a b )cos(x) +--R + +--R 5 3 3 6 2 4 +--R (18a b - 27a b )cos(x) + 6b - 9a b +--R * +--R +---------+ +--R | 2 2 2 2 +--R (- b cos(x) - a)\|- b + a + (- b + a )sin(x) +--R log(------------------------------------------------) +--R a cos(x) + b +--R + +--R 3 2 5 2 2 3 4 4 +--R (- 11a b + 8a )cos(x) + (- 15a b + 9a b)cos(x) - 6a b +--R + +--R 3 2 5 +--R 5a b - 2a +--R * +--R sin(x) +--R + +--R 3 2 5 3 2 3 4 2 +--R (6a b - 6a )x cos(x) + (18a b - 18a b)x cos(x) +--R + +--R 4 3 2 5 2 3 +--R (18a b - 18a b )x cos(x) + (6b - 6a b )x +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 7 2 9 3 6 3 8 2 +--R (6a b - 6a )cos(x) + (18a b - 18a b)cos(x) +--R + +--R 5 4 7 2 4 5 6 3 +--R (18a b - 18a b )cos(x) + 6a b - 6a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R , +--R +--R 3 3 5 3 2 4 4 2 2 +--R (- 12a b + 18a b)cos(x) + (- 36a b + 54a b )cos(x) +--R + +--R 5 3 3 6 2 4 +--R (- 36a b + 54a b )cos(x) - 12b + 18a b +--R * +--R +-------+ +--R | 2 2 +--R sin(x)\|b - a +--R atan(---------------------) +--R (b + a)cos(x) + b + a +--R + +--R 3 2 5 2 2 3 4 4 +--R (- 11a b + 8a )cos(x) + (- 15a b + 9a b)cos(x) - 6a b +--R + +--R 3 2 5 +--R 5a b - 2a +--R * +--R sin(x) +--R + +--R 3 2 5 3 2 3 4 2 +--R (6a b - 6a )x cos(x) + (18a b - 18a b)x cos(x) +--R + +--R 4 3 2 5 2 3 +--R (18a b - 18a b )x cos(x) + (6b - 6a b )x +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R 7 2 9 3 6 3 8 2 +--R (6a b - 6a )cos(x) + (18a b - 18a b)cos(x) +--R + +--R 5 4 7 2 4 5 6 3 +--R (18a b - 18a b )cos(x) + 6a b - 6a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 142 + +--S 143 of 532 +m0725a:= a0725.1-r0725 +--R +--R +--R (135) +--R +---------+ +--R | 2 2 2 2 +--R 3 2 (- b cos(x) - a)\|- b + a + (- b + a )sin(x) +--R (2b - 3a b)log(------------------------------------------------) +--R a cos(x) + b +--R + +--R x +--R (b - a)tan(-) +--R 3 2 2 +--R (- 4b + 6a b)atanh(-------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 4 2 6 | 2 2 +--R (2a b - 2a )\|- b + a +--R Type: Expression Integer +--E 143 + +--S 144 of 532 +d0725a:= D(m0725a,x) +--R +--R +--R (136) +--R 4 3 2 2 3 2 3 3 2 +--R (- 2b + 2a b + 3a b - 3a b)sin(x) + (2a b - 3a b)cos(x) +--R + +--R 4 3 2 2 3 4 2 2 +--R (2b + 2a b - 3a b - 3a b)cos(x) + 2b - 3a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 3 2 2 3 2 3 3 2 +--R (- 2b - 2a b + 3a b + 3a b)sin(x) + (- 2a b + 3a b)cos(x) +--R + +--R 4 3 2 2 3 4 2 2 +--R (- 2b + 2a b + 3a b - 3a b)cos(x) + 2b - 3a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 5 2 3 4 5 2 3 4 x 2 +--R ((2b - 5a b + 3a b)cos(x) + 2b - 5a b + 3a b)sin(x)tan(-) +--R 2 +--R + +--R 5 2 3 4 5 2 3 4 +--R ((2b - 5a b + 3a b)cos(x) - 2b + 5a b - 3a b)sin(x) +--R / +--R 4 4 5 3 6 2 7 2 +--R (2a b - 2a b - 2a b + 2a b)cos(x) +--R + +--R 3 5 4 4 7 8 4 4 5 3 6 2 7 +--R (2a b - 2a b - 2a b + 2a )cos(x) + 2a b - 2a b - 2a b + 2a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 4 5 3 6 2 7 2 +--R (2a b + 2a b - 2a b - 2a b)cos(x) +--R + +--R 3 5 4 4 7 8 4 4 5 3 6 2 7 +--R (2a b + 2a b - 2a b - 2a )cos(x) + 2a b + 2a b - 2a b - 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 4 5 5 4 6 3 7 2 8 9 3 6 4 5 +--R (2a b - 2a b - 4a b + 4a b + 2a b - 2a )cos(x) + 2a b - 2a b +--R + +--R 5 4 6 3 7 2 8 +--R - 4a b + 4a b + 2a b - 2a b +--R * +--R x 2 +--R sin(x)tan(-) +--R 2 +--R + +--R 4 5 5 4 6 3 7 2 8 9 3 6 4 5 +--R (2a b + 2a b - 4a b - 4a b + 2a b + 2a )cos(x) + 2a b + 2a b +--R + +--R 5 4 6 3 7 2 8 +--R - 4a b - 4a b + 2a b + 2a b +--R * +--R sin(x) +--R Type: Expression Integer +--E 144 + +--S 145 of 532 +m0725b:= a0725.2-r0725 +--R +--R +--R (137) +--R x +--R +-------+ (b - a)tan(-) +--R 3 2 | 2 2 2 +--R (- 2b + 3a b)\|b - a atanh(-------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +-------+ +--R +---------+ | 2 2 +--R 3 2 | 2 2 sin(x)\|b - a +--R (- 2b + 3a b)\|- b + a atan(---------------------) +--R (b + a)cos(x) + b + a +--R / +--R +---------+ +-------+ +--R 4 2 6 | 2 2 | 2 2 +--R (a b - a )\|- b + a \|b - a +--R Type: Expression Integer +--E 145 + +--S 146 of 532 +d0725b:= D(m0725b,x) +--R +--R +--R (138) +--R 4 3 2 2 3 2 +--R (- 2b + 2a b + 3a b - 3a b)sin(x) +--R + +--R 4 3 2 2 3 2 3 3 4 +--R (- 2b + 6a b + 3a b - 9a b)cos(x) + (8a b - 12a b)cos(x) + 2b +--R + +--R 3 2 2 3 +--R 2a b - 3a b - 3a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 3 2 2 3 2 +--R (- 2b - 6a b + 3a b + 9a b)sin(x) +--R + +--R 4 3 2 2 3 2 4 3 2 2 3 +--R (- 2b - 2a b + 3a b + 3a b)cos(x) + 2b + 2a b - 3a b - 3a b +--R / +--R 4 4 5 3 7 8 2 4 4 6 2 8 2 +--R (2a b - 4a b + 4a b - 2a )sin(x) + (2a b - 4a b + 2a )cos(x) +--R + +--R 4 4 6 2 8 4 4 6 2 8 +--R (4a b - 8a b + 4a )cos(x) + 2a b - 4a b + 2a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 4 6 2 8 2 4 4 5 3 7 8 2 +--R (2a b - 4a b + 2a )sin(x) + (2a b + 4a b - 4a b - 2a )cos(x) +--R + +--R 4 4 5 3 7 8 4 4 5 3 7 8 +--R (4a b + 8a b - 8a b - 4a )cos(x) + 2a b + 4a b - 4a b - 2a +--R Type: Expression Integer +--E 146 + +--S 147 of 532 +t0726:= 1/(a*cos(c+d*x)+%i*a*sin(c+d*x))^3 +--R +--R +--R (139) +--R %i +--R / +--R 3 3 3 2 +--R a sin(d x + c) - 3%i a cos(d x + c)sin(d x + c) +--R + +--R 3 2 3 3 +--R - 3a cos(d x + c) sin(d x + c) + %i a cos(d x + c) +--R Type: Expression Complex Integer +--E 147 + +--S 148 of 532 +r0726:= 1/3*%i*(cos(c+d*x)-%i*sin(c+d*x))^3/a^3/d +--R +--R +--R (140) +--R 1 3 2 +--R - - sin(d x + c) - %i cos(d x + c)sin(d x + c) +--R 3 +--R + +--R 2 1 3 +--R cos(d x + c) sin(d x + c) + - %i cos(d x + c) +--R 3 +--R / +--R 3 +--R a d +--R Type: Expression Complex Fraction Integer +--E 148 + +--S 149 of 532 +--a0726:= integrate(t0726,x) +--E 149 + +--S 150 of 532 +--m0726:= a0726-r0726 +--E 150 + +--S 151 of 532 +--d0726:= D(m0726,x) +--E 151 + +--S 152 of 532 +t0727:= (a*cos(c+d*x)+%i*a*sin(c+d*x))^(1/2) +--R +--R +--R +----------------------------------+ +--R (141) \|%i a sin(d x + c) + a cos(d x + c) +--R Type: Expression Complex Integer +--E 152 + +--S 153 of 532 +r0727:= -2*%i*(a*(cos(c+d*x)+%i*sin(c+d*x)))^(1/2)/d +--R +--R +--R +----------------------------------+ +--R 2%i\|%i a sin(d x + c) + a cos(d x + c) +--R (142) - ---------------------------------------- +--R d +--R Type: Expression Complex Integer +--E 153 + +--S 154 of 532 +a0727:= integrate(t0727,x) +--R +--R +--R >> System error: +--R Zero divisor. +--R +--R Continuing to read the file... +--R +--E 154 + +--S 155 of 532 +m0727:= a0727-r0727 +--R +--R +--R +----------------------------------+ +--R 2%i\|%i a sin(d x + c) + a cos(d x + c) + a0727 d +--R (143) -------------------------------------------------- +--R d +--R Type: Expression Complex Integer +--E 155 + +--S 156 of 532 +d0727:= D(m0727,x) +--R +--R +--R - %i a sin(d x + c) - a cos(d x + c) +--R (144) ------------------------------------- +--R +----------------------------------+ +--R \|%i a sin(d x + c) + a cos(d x + c) +--R Type: Expression Complex Integer +--E 156 + +--S 157 of 532 +t0728:= 1/(a*cos(c+d*x)+%i*a*sin(c+d*x))^(1/2) +--R +--R +--R 1 +--R (145) ------------------------------------- +--R +----------------------------------+ +--R \|%i a sin(d x + c) + a cos(d x + c) +--R Type: Expression Complex Integer +--E 157 + +--S 158 of 532 +r0728:= 2*%i/(a*(cos(c+d*x)+%i*sin(c+d*x)))^(1/2)/d +--R +--R +--R 2%i +--R (146) -------------------------------------- +--R +----------------------------------+ +--R d\|%i a sin(d x + c) + a cos(d x + c) +--R Type: Expression Complex Integer +--E 158 + +--S 159 of 532 +a0728:= integrate(t0728,x) +--R +--R +--R >> System error: +--R Zero divisor. +--R +--R Continuing to read the file... +--R +--E 159 + +--S 160 of 532 +m0728:= a0728-r0728 +--R +--R +--R +----------------------------------+ +--R a0728 d\|%i a sin(d x + c) + a cos(d x + c) - 2%i +--R (147) -------------------------------------------------- +--R +----------------------------------+ +--R d\|%i a sin(d x + c) + a cos(d x + c) +--R Type: Expression Complex Integer +--E 160 + +--S 161 of 532 +d0728:= D(m0728,x) +--R +--R +--R 1 +--R (148) - ------------------------------------- +--R +----------------------------------+ +--R \|%i a sin(d x + c) + a cos(d x + c) +--R Type: Expression Complex Integer +--E 161 + +--S 162 of 532 +t0729:= 1/(a*cos(c+d*x)-%i*a*sin(c+d*x))^3 +--R +--R +--R (149) +--R - +--R %i +--R / +--R 3 3 3 2 +--R a sin(d x + c) + 3%i a cos(d x + c)sin(d x + c) +--R + +--R 3 2 3 3 +--R - 3a cos(d x + c) sin(d x + c) - %i a cos(d x + c) +--R Type: Expression Complex Integer +--E 162 + +--S 163 of 532 +r0729:= -1/3*%i*(cos(c+d*x)+%i*sin(c+d*x))^3/a^3/d +--R +--R +--R (150) +--R 1 3 2 +--R - - sin(d x + c) + %i cos(d x + c)sin(d x + c) +--R 3 +--R + +--R 2 1 3 +--R cos(d x + c) sin(d x + c) - - %i cos(d x + c) +--R 3 +--R / +--R 3 +--R a d +--R Type: Expression Complex Fraction Integer +--E 163 + +--S 164 of 532 +--a0729:= integrate(t0729,x) +--E 164 + +--S 165 of 532 +--m0729:= a0729-r0729 +--E 165 + +--S 166 of 532 +--d0729:= D(m0729,x) +--E 166 + +--S 167 of 532 +t0730:= (a*cos(c+d*x)-%i*a*sin(c+d*x))^(1/2) +--R +--R +--R +------------------------------------+ +--R (151) \|- %i a sin(d x + c) + a cos(d x + c) +--R Type: Expression Complex Integer +--E 167 + +--S 168 of 532 +r0730:= 2*%i*(a*cos(c+d*x)-%i*a*sin(c+d*x))^(1/2)/d +--R +--R +--R +------------------------------------+ +--R 2%i\|- %i a sin(d x + c) + a cos(d x + c) +--R (152) ------------------------------------------ +--R d +--R Type: Expression Complex Integer +--E 168 + +--S 169 of 532 +a0730:= integrate(t0730,x) +--R +--R +--R >> System error: +--R Zero divisor. +--R +--R Continuing to read the file... +--R +--E 169 + +--S 170 of 532 +m0730:= a0730-r0730 +--R +--R +--R +------------------------------------+ +--R - 2%i\|- %i a sin(d x + c) + a cos(d x + c) + a0730 d +--R (153) ------------------------------------------------------ +--R d +--R Type: Expression Complex Integer +--E 170 + +--S 171 of 532 +d0730:= D(m0730,x) +--R +--R +--R %i a sin(d x + c) - a cos(d x + c) +--R (154) --------------------------------------- +--R +------------------------------------+ +--R \|- %i a sin(d x + c) + a cos(d x + c) +--R Type: Expression Complex Integer +--E 171 + +--S 172 of 532 +t0731:= 1/(a*cos(c+d*x)-%i*a*sin(c+d*x))^(1/2) +--R +--R +--R 1 +--R (155) --------------------------------------- +--R +------------------------------------+ +--R \|- %i a sin(d x + c) + a cos(d x + c) +--R Type: Expression Complex Integer +--E 172 + +--S 173 of 532 +r0731:= -2*%i/d/(a*cos(c+d*x)-%i*a*sin(c+d*x))^(1/2) +--R +--R +--R 2%i +--R (156) - ---------------------------------------- +--R +------------------------------------+ +--R d\|- %i a sin(d x + c) + a cos(d x + c) +--R Type: Expression Complex Integer +--E 173 + +--S 174 of 532 +a0731:= integrate(t0731,x) +--R +--R +--R >> System error: +--R Zero divisor. +--R +--R Continuing to read the file... +--R +--E 174 + +--S 175 of 532 +m0731:= a0731-r0731 +--R +--R +--R +------------------------------------+ +--R a0731 d\|- %i a sin(d x + c) + a cos(d x + c) + 2%i +--R (157) ---------------------------------------------------- +--R +------------------------------------+ +--R d\|- %i a sin(d x + c) + a cos(d x + c) +--R Type: Expression Complex Integer +--E 175 + +--S 176 of 532 +d0731:= D(m0731,x) +--R +--R +--R 1 +--R (158) - --------------------------------------- +--R +------------------------------------+ +--R \|- %i a sin(d x + c) + a cos(d x + c) +--R Type: Expression Complex Integer +--E 176 + +--S 177 of 532 +t0732:= sec(x)-tan(x) +--R +--R +--R (159) - tan(x) + sec(x) +--R Type: Expression Integer +--E 177 + +--S 178 of 532 +r0732:= 2*log(sin(1/4*%pi+1/2*x)) +--R +--R +--R 2x + %pi +--R (160) 2log(sin(--------)) +--R 4 +--R Type: Expression Integer +--E 178 + +--S 179 of 532 +a0732:= integrate(t0732,x) +--R +--R +--R sin(x) + cos(x) + 1 2 +--R (161) 2log(-------------------) - log(----------) +--R cos(x) + 1 cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 179 + +--S 180 of 532 +m0732:= a0732-r0732 +--R +--R +--R sin(x) + cos(x) + 1 2x + %pi 2 +--R (162) 2log(-------------------) - 2log(sin(--------)) - log(----------) +--R cos(x) + 1 4 cos(x) + 1 +--R Type: Expression Integer +--E 180 + +--S 181 of 532 +d0732:= D(m0732,x) +--R +--R +--R (163) +--R 2x + %pi 2 +--R sin(--------)sin(x) +--R 4 +--R + +--R 2x + %pi 2x + %pi 2x + %pi +--R ((- cos(x) - 1)sin(--------) - cos(--------)cos(x) - cos(--------))sin(x) +--R 4 4 4 +--R + +--R 2 2x + %pi 2x + %pi 2 +--R (2cos(x) + 2cos(x))sin(--------) - cos(--------)cos(x) +--R 4 4 +--R + +--R 2x + %pi 2x + %pi +--R - 2cos(--------)cos(x) - cos(--------) +--R 4 4 +--R / +--R 2x + %pi 2 2x + %pi +--R (cos(x) + 1)sin(--------)sin(x) + (cos(x) + 2cos(x) + 1)sin(--------) +--R 4 4 +--R Type: Expression Integer +--E 181 + +--S 182 of 532 +t0733:= (sec(x)+tan(x))^3 +--R +--R +--R 3 2 2 3 +--R (164) tan(x) + 3sec(x)tan(x) + 3sec(x) tan(x) + sec(x) +--R Type: Expression Integer +--E 182 + +--S 183 of 532 +r0733:= log(1-sin(x))+2/(1-sin(x)) +--R +--R +--R (sin(x) - 1)log(- sin(x) + 1) - 2 +--R (165) --------------------------------- +--R sin(x) - 1 +--R Type: Expression Integer +--E 183 + +--S 184 of 532 +a0733:= integrate(t0733,x) +--R +--R +--R (166) +--R sin(x) - cos(x) - 1 2 +--R (2sin(x) - 2)log(-------------------) + (- sin(x) + 1)log(----------) +--R cos(x) + 1 cos(x) + 1 +--R + +--R - 2sin(x) +--R / +--R sin(x) - 1 +--R Type: Union(Expression Integer,...) +--E 184 + +--S 185 of 532 +m0733:= a0733-r0733 +--R +--R +--R sin(x) - cos(x) - 1 2 +--R (167) 2log(-------------------) - log(----------) - log(- sin(x) + 1) - 2 +--R cos(x) + 1 cos(x) + 1 +--R Type: Expression Integer +--E 185 + +--S 186 of 532 +d0733:= D(m0733,x) +--R +--R +--R (168) +--R 3 2 2 3 +--R sin(x) + cos(x)sin(x) + (cos(x) - 1)sin(x) + cos(x) - cos(x) +--R ----------------------------------------------------------------------------- +--R 2 2 2 +--R (cos(x) + 1)sin(x) + (- cos(x) - 3cos(x) - 2)sin(x) + cos(x) + 2cos(x) + 1 +--R Type: Expression Integer +--E 186 + +--S 187 of 532 +t0734:= (sec(x)-tan(x))^3 +--R +--R +--R 3 2 2 3 +--R (169) - tan(x) + 3sec(x)tan(x) - 3sec(x) tan(x) + sec(x) +--R Type: Expression Integer +--E 187 + +--S 188 of 532 +r0734:= -log(1+sin(x))-2/(1+sin(x)) +--R +--R +--R (- sin(x) - 1)log(sin(x) + 1) - 2 +--R (170) --------------------------------- +--R sin(x) + 1 +--R Type: Expression Integer +--E 188 + +--S 189 of 532 +a0734:= integrate(t0734,x) +--R +--R +--R (171) +--R sin(x) + cos(x) + 1 2 +--R (- 2sin(x) - 2)log(-------------------) + (sin(x) + 1)log(----------) +--R cos(x) + 1 cos(x) + 1 +--R + +--R 2sin(x) +--R / +--R sin(x) + 1 +--R Type: Union(Expression Integer,...) +--E 189 + +--S 190 of 532 +m0734:= a0734-r0734 +--R +--R +--R sin(x) + cos(x) + 1 2 +--R (172) log(sin(x) + 1) - 2log(-------------------) + log(----------) + 2 +--R cos(x) + 1 cos(x) + 1 +--R Type: Expression Integer +--E 190 + +--S 191 of 532 +d0734:= D(m0734,x) +--R +--R +--R (173) +--R 3 2 2 3 +--R - sin(x) + cos(x)sin(x) + (- cos(x) + 1)sin(x) + cos(x) - cos(x) +--R --------------------------------------------------------------------------- +--R 2 2 2 +--R (cos(x) + 1)sin(x) + (cos(x) + 3cos(x) + 2)sin(x) + cos(x) + 2cos(x) + 1 +--R Type: Expression Integer +--E 191 + +--S 192 of 532 +t0735:= (sec(x)+tan(x))^5 +--R +--R +--R (174) +--R 5 4 2 3 3 2 +--R tan(x) + 5sec(x)tan(x) + 10sec(x) tan(x) + 10sec(x) tan(x) +--R + +--R 4 5 +--R 5sec(x) tan(x) + sec(x) +--R Type: Expression Integer +--E 192 + +--S 193 of 532 +r0735:= -log(1-sin(x))+2/(1-sin(x))^2-4/(1-sin(x)) +--R +--R +--R 2 +--R (- sin(x) + 2sin(x) - 1)log(- sin(x) + 1) + 4sin(x) - 2 +--R (175) -------------------------------------------------------- +--R 2 +--R sin(x) - 2sin(x) + 1 +--R Type: Expression Integer +--E 193 + +--S 194 of 532 +a0735:= integrate(t0735,x) +--R +--R +--R (176) +--R 2 sin(x) - cos(x) - 1 +--R (- 4sin(x) - 2cos(x) + 4)log(-------------------) +--R cos(x) + 1 +--R + +--R 2 2 2 +--R (2sin(x) + cos(x) - 2)log(----------) + 2cos(x) - 2 +--R cos(x) + 1 +--R / +--R 2 +--R 2sin(x) + cos(x) - 2 +--R Type: Union(Expression Integer,...) +--E 194 + +--S 195 of 532 +m0735:= a0735-r0735 +--R +--R +--R (177) +--R 3 2 2 2 +--R - 4sin(x) + (- 2cos(x) + 12)sin(x) + (4cos(x) - 12)sin(x) +--R + +--R 2 +--R - 2cos(x) + 4 +--R * +--R sin(x) - cos(x) - 1 +--R log(-------------------) +--R cos(x) + 1 +--R + +--R 3 2 2 2 2 +--R 2sin(x) + (cos(x) - 6)sin(x) + (- 2cos(x) + 6)sin(x) + cos(x) +--R + +--R - 2 +--R * +--R 2 +--R log(----------) +--R cos(x) + 1 +--R + +--R 3 2 2 2 2 +--R 2sin(x) + (cos(x) - 6)sin(x) + (- 2cos(x) + 6)sin(x) + cos(x) +--R + +--R - 2 +--R * +--R log(- sin(x) + 1) +--R + +--R 2 2 2 2 +--R (2cos(x) - 10)sin(x) + (- 8cos(x) + 16)sin(x) + 4cos(x) - 6 +--R / +--R 3 2 2 2 2 +--R 2sin(x) + (cos(x) - 6)sin(x) + (- 2cos(x) + 6)sin(x) + cos(x) - 2 +--R Type: Expression Integer +--E 195 + +--S 196 of 532 +d0735:= D(m0735,x) +--R +--R +--R (178) +--R 7 2 6 +--R - 4sin(x) + (- 12cos(x) - 12cos(x) + 16)sin(x) +--R + +--R 4 3 2 5 +--R (- cos(x) + 4cos(x) + 52cos(x) + 52cos(x) - 20)sin(x) +--R + +--R 5 4 3 2 4 +--R (- cos(x) - 6cos(x) - 24cos(x) - 64cos(x) - 64cos(x))sin(x) +--R + +--R 6 5 4 3 2 +--R - cos(x) + 2cos(x) + 48cos(x) + 56cos(x) - 24cos(x) - 8cos(x) +--R + +--R 20 +--R * +--R 3 +--R sin(x) +--R + +--R 7 6 5 4 3 2 +--R - cos(x) + 6cos(x) - 12cos(x) - 98cos(x) - 64cos(x) + 100cos(x) +--R + +--R 68cos(x) - 16 +--R * +--R 2 +--R sin(x) +--R + +--R 7 6 5 4 3 2 +--R - 2cos(x) - 9cos(x) + 10cos(x) + 65cos(x) + 36cos(x) - 60cos(x) +--R + +--R - 44cos(x) + 4 +--R * +--R sin(x) +--R + +--R 7 5 4 3 2 +--R - cos(x) + cos(x) - 8cos(x) - 8cos(x) + 8cos(x) + 8cos(x) +--R / +--R 6 3 5 +--R (4cos(x) + 4)sin(x) + (4cos(x) - 28cos(x) - 24)sin(x) +--R + +--R 5 4 3 4 +--R (cos(x) - 3cos(x) - 24cos(x) + 80cos(x) + 60)sin(x) +--R + +--R 6 5 4 3 3 +--R (- cos(x) - 5cos(x) + 12cos(x) + 56cos(x) - 120cos(x) - 80)sin(x) +--R + +--R 6 5 4 3 2 +--R (3cos(x) + 9cos(x) - 18cos(x) - 64cos(x) + 100cos(x) + 60)sin(x) +--R + +--R 6 5 4 3 +--R (- 3cos(x) - 7cos(x) + 12cos(x) + 36cos(x) - 44cos(x) - 24)sin(x) +--R + +--R 6 5 4 3 +--R cos(x) + 2cos(x) - 3cos(x) - 8cos(x) + 8cos(x) + 4 +--R Type: Expression Integer +--E 196 + +--S 197 of 532 +t0736:= (sec(x)-tan(x))^5 +--R +--R +--R (179) +--R 5 4 2 3 3 2 +--R - tan(x) + 5sec(x)tan(x) - 10sec(x) tan(x) + 10sec(x) tan(x) +--R + +--R 4 5 +--R - 5sec(x) tan(x) + sec(x) +--R Type: Expression Integer +--E 197 + +--S 198 of 532 +r0736:= log(1+sin(x))-2/(1+sin(x))^2+4/(1+sin(x)) +--R +--R +--R 2 +--R (sin(x) + 2sin(x) + 1)log(sin(x) + 1) + 4sin(x) + 2 +--R (180) ---------------------------------------------------- +--R 2 +--R sin(x) + 2sin(x) + 1 +--R Type: Expression Integer +--E 198 + +--S 199 of 532 +a0736:= integrate(t0736,x) +--R +--R +--R (181) +--R 2 sin(x) + cos(x) + 1 +--R (4sin(x) - 2cos(x) + 4)log(-------------------) +--R cos(x) + 1 +--R + +--R 2 2 2 +--R (- 2sin(x) + cos(x) - 2)log(----------) + 2cos(x) - 2 +--R cos(x) + 1 +--R / +--R 2 +--R 2sin(x) - cos(x) + 2 +--R Type: Union(Expression Integer,...) +--E 199 + +--S 200 of 532 +m0736:= a0736-r0736 +--R +--R +--R (182) +--R 3 2 2 2 2 +--R - 2sin(x) + (cos(x) - 6)sin(x) + (2cos(x) - 6)sin(x) + cos(x) +--R + +--R - 2 +--R * +--R log(sin(x) + 1) +--R + +--R 3 2 2 2 +--R 4sin(x) + (- 2cos(x) + 12)sin(x) + (- 4cos(x) + 12)sin(x) +--R + +--R 2 +--R - 2cos(x) + 4 +--R * +--R sin(x) + cos(x) + 1 +--R log(-------------------) +--R cos(x) + 1 +--R + +--R 3 2 2 2 2 +--R - 2sin(x) + (cos(x) - 6)sin(x) + (2cos(x) - 6)sin(x) + cos(x) +--R + +--R - 2 +--R * +--R 2 +--R log(----------) +--R cos(x) + 1 +--R + +--R 2 2 2 2 +--R (2cos(x) - 10)sin(x) + (8cos(x) - 16)sin(x) + 4cos(x) - 6 +--R / +--R 3 2 2 2 2 +--R 2sin(x) + (- cos(x) + 6)sin(x) + (- 2cos(x) + 6)sin(x) - cos(x) + 2 +--R Type: Expression Integer +--E 200 + +--S 201 of 532 +d0736:= D(m0736,x) +--R +--R +--R (183) +--R 7 2 6 +--R 4sin(x) + (- 12cos(x) - 12cos(x) + 16)sin(x) +--R + +--R 4 3 2 5 +--R (cos(x) - 4cos(x) - 52cos(x) - 52cos(x) + 20)sin(x) +--R + +--R 5 4 3 2 4 +--R (- cos(x) - 6cos(x) - 24cos(x) - 64cos(x) - 64cos(x))sin(x) +--R + +--R 6 5 4 3 2 +--R (cos(x) - 2cos(x) - 48cos(x) - 56cos(x) + 24cos(x) + 8cos(x) - 20) +--R * +--R 3 +--R sin(x) +--R + +--R 7 6 5 4 3 2 +--R - cos(x) + 6cos(x) - 12cos(x) - 98cos(x) - 64cos(x) + 100cos(x) +--R + +--R 68cos(x) - 16 +--R * +--R 2 +--R sin(x) +--R + +--R 7 6 5 4 3 2 +--R 2cos(x) + 9cos(x) - 10cos(x) - 65cos(x) - 36cos(x) + 60cos(x) +--R + +--R 44cos(x) - 4 +--R * +--R sin(x) +--R + +--R 7 5 4 3 2 +--R - cos(x) + cos(x) - 8cos(x) - 8cos(x) + 8cos(x) + 8cos(x) +--R / +--R 6 3 5 +--R (4cos(x) + 4)sin(x) + (- 4cos(x) + 28cos(x) + 24)sin(x) +--R + +--R 5 4 3 4 +--R (cos(x) - 3cos(x) - 24cos(x) + 80cos(x) + 60)sin(x) +--R + +--R 6 5 4 3 3 +--R (cos(x) + 5cos(x) - 12cos(x) - 56cos(x) + 120cos(x) + 80)sin(x) +--R + +--R 6 5 4 3 2 +--R (3cos(x) + 9cos(x) - 18cos(x) - 64cos(x) + 100cos(x) + 60)sin(x) +--R + +--R 6 5 4 3 +--R (3cos(x) + 7cos(x) - 12cos(x) - 36cos(x) + 44cos(x) + 24)sin(x) +--R + +--R 6 5 4 3 +--R cos(x) + 2cos(x) - 3cos(x) - 8cos(x) + 8cos(x) + 4 +--R Type: Expression Integer +--E 201 + +--S 202 of 532 +t0737:= csc(x)+cot(x) +--R +--R +--R (184) csc(x) + cot(x) +--R Type: Expression Integer +--E 202 + +--S 203 of 532 +r0737:= -atanh(cos(x))+log(sin(x)) +--R +--R +--R (185) log(sin(x)) - atanh(cos(x)) +--R Type: Expression Integer +--E 203 + +--S 204 of 532 +a0737:= integrate(t0737,x) +--R +--R +--R sin(x) 2 +--R (186) 2log(----------) - log(----------) +--R cos(x) + 1 cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 204 + +--S 205 of 532 +m0737:= a0737-r0737 +--R +--R +--R sin(x) 2 +--R (187) - log(sin(x)) + 2log(----------) - log(----------) + atanh(cos(x)) +--R cos(x) + 1 cos(x) + 1 +--R Type: Expression Integer +--E 205 + +--S 206 of 532 +d0737:= D(m0737,x) +--R +--R +--R 2 3 +--R cos(x)sin(x) + cos(x) - cos(x) +--R (188) -------------------------------- +--R 2 +--R (cos(x) - 1)sin(x) +--R Type: Expression Integer +--E 206 + +--S 207 of 532 +t0738:= (csc(x)+cot(x))^3 +--R +--R +--R 3 2 2 3 +--R (189) csc(x) + 3cot(x)csc(x) + 3cot(x) csc(x) + cot(x) +--R Type: Expression Integer +--E 207 + +--S 208 of 532 +r0738:= -2/(1-cos(x))-log(1-cos(x)) +--R +--R +--R (- cos(x) + 1)log(- cos(x) + 1) + 2 +--R (190) ----------------------------------- +--R cos(x) - 1 +--R Type: Expression Integer +--E 208 + +--S 209 of 532 +a0738:= integrate(t0738,x) +--R +--R +--R (191) +--R sin(x) 2 +--R (- 2cos(x) + 2)log(----------) + (cos(x) - 1)log(----------) + cos(x) + 1 +--R cos(x) + 1 cos(x) + 1 +--R ------------------------------------------------------------------------- +--R cos(x) - 1 +--R Type: Union(Expression Integer,...) +--E 209 + +--S 210 of 532 +m0738:= a0738-r0738 +--R +--R +--R sin(x) 2 +--R (192) - 2log(----------) + log(----------) + log(- cos(x) + 1) + 1 +--R cos(x) + 1 cos(x) + 1 +--R Type: Expression Integer +--E 210 + +--S 211 of 532 +d0738:= D(m0738,x) +--R +--R +--R 2 3 +--R - 2cos(x)sin(x) - 2cos(x) + 2cos(x) +--R (193) ------------------------------------- +--R 2 +--R (cos(x) - 1)sin(x) +--R Type: Expression Integer +--E 211 + +--S 212 of 532 +t0739:= (csc(x)-cot(x))^3 +--R +--R +--R 3 2 2 3 +--R (194) csc(x) - 3cot(x)csc(x) + 3cot(x) csc(x) - cot(x) +--R Type: Expression Integer +--E 212 + +--S 213 of 532 +r0739:= 2/(cos(x)+1)+log(cos(x)+1) +--R +--R +--R (cos(x) + 1)log(cos(x) + 1) + 2 +--R (195) ------------------------------- +--R cos(x) + 1 +--R Type: Expression Integer +--E 213 + +--S 214 of 532 +a0739:= integrate(t0739,x) +--R +--R +--R 2 +--R (- cos(x) - 1)log(----------) - cos(x) + 1 +--R cos(x) + 1 +--R (196) ------------------------------------------ +--R cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 214 + +--S 215 of 532 +m0739:= a0739-r0739 +--R +--R +--R 2 +--R (197) - log(cos(x) + 1) - log(----------) - 1 +--R cos(x) + 1 +--R Type: Expression Integer +--E 215 + +--S 216 of 532 +d0739:= D(m0739,x) +--R +--R +--R (198) 0 +--R Type: Expression Integer +--E 216 + +--S 217 of 532 +t0740:= (csc(x)+cot(x))^5 +--R +--R +--R (199) +--R 5 4 2 3 3 2 +--R csc(x) + 5cot(x)csc(x) + 10cot(x) csc(x) + 10cot(x) csc(x) +--R + +--R 4 5 +--R 5cot(x) csc(x) + cot(x) +--R Type: Expression Integer +--E 217 + +--S 218 of 532 +r0740:= -2/(1-cos(x))^2+4/(1-cos(x))+log(1-cos(x)) +--R +--R +--R 2 +--R (cos(x) - 2cos(x) + 1)log(- cos(x) + 1) - 4cos(x) + 2 +--R (200) ------------------------------------------------------ +--R 2 +--R cos(x) - 2cos(x) + 1 +--R Type: Expression Integer +--E 218 + +--S 219 of 532 +a0740:= integrate(t0740,x) +--R +--R +--R (201) +--R 2 sin(x) +--R (4cos(x) - 8cos(x) + 4)log(----------) +--R cos(x) + 1 +--R + +--R 2 2 2 +--R (- 2cos(x) + 4cos(x) - 2)log(----------) - 3cos(x) - 2cos(x) + 1 +--R cos(x) + 1 +--R / +--R 2 +--R 2cos(x) - 4cos(x) + 2 +--R Type: Union(Expression Integer,...) +--E 219 + +--S 220 of 532 +m0740:= a0740-r0740 +--R +--R +--R sin(x) 2 +--R 4log(----------) - 2log(----------) - 2log(- cos(x) + 1) - 3 +--R cos(x) + 1 cos(x) + 1 +--R (202) ------------------------------------------------------------ +--R 2 +--R Type: Expression Integer +--E 220 + +--S 221 of 532 +d0740:= D(m0740,x) +--R +--R +--R 2 3 +--R 2cos(x)sin(x) + 2cos(x) - 2cos(x) +--R (203) ----------------------------------- +--R 2 +--R (cos(x) - 1)sin(x) +--R Type: Expression Integer +--E 221 + +--S 222 of 532 +t0741:= (csc(x)-cot(x))^5 +--R +--R +--R (204) +--R 5 4 2 3 3 2 +--R csc(x) - 5cot(x)csc(x) + 10cot(x) csc(x) - 10cot(x) csc(x) +--R + +--R 4 5 +--R 5cot(x) csc(x) - cot(x) +--R Type: Expression Integer +--E 222 + +--S 223 of 532 +r0741:= 2/(cos(x)+1)^2-4/(cos(x)+1)-log(cos(x)+1) +--R +--R +--R 2 +--R (- cos(x) - 2cos(x) - 1)log(cos(x) + 1) - 4cos(x) - 2 +--R (205) ------------------------------------------------------ +--R 2 +--R cos(x) + 2cos(x) + 1 +--R Type: Expression Integer +--E 223 + +--S 224 of 532 +a0741:= integrate(t0741,x) +--R +--R +--R 2 2 2 +--R (2cos(x) + 4cos(x) + 2)log(----------) + 3cos(x) - 2cos(x) - 1 +--R cos(x) + 1 +--R (206) ---------------------------------------------------------------- +--R 2 +--R 2cos(x) + 4cos(x) + 2 +--R Type: Union(Expression Integer,...) +--E 224 + +--S 225 of 532 +m0741:= a0741-r0741 +--R +--R +--R 2 +--R 2log(cos(x) + 1) + 2log(----------) + 3 +--R cos(x) + 1 +--R (207) --------------------------------------- +--R 2 +--R Type: Expression Integer +--E 225 + +--S 226 of 532 +d0741:= D(m0741,x) +--R +--R +--R (208) 0 +--R Type: Expression Integer +--E 226 + +--S 227 of 532 +t0742:= 1/(csc(x)-cot(x)) +--R +--R +--R 1 +--R (209) --------------- +--R csc(x) - cot(x) +--R Type: Expression Integer +--E 227 + +--S 228 of 532 +r0742:= log(1-cos(x)) +--R +--R +--R (210) log(- cos(x) + 1) +--R Type: Expression Integer +--E 228 + +--S 229 of 532 +a0742:= integrate(t0742,x) +--R +--R +--R sin(x) 2 +--R (211) 2log(----------) - log(----------) +--R cos(x) + 1 cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 229 + +--S 230 of 532 +m0742:= a0742-r0742 +--R +--R +--R sin(x) 2 +--R (212) 2log(----------) - log(----------) - log(- cos(x) + 1) +--R cos(x) + 1 cos(x) + 1 +--R Type: Expression Integer +--E 230 + +--S 231 of 532 +d0742:= D(m0742,x) +--R +--R +--R 2 3 +--R 2cos(x)sin(x) + 2cos(x) - 2cos(x) +--R (213) ----------------------------------- +--R 2 +--R (cos(x) - 1)sin(x) +--R Type: Expression Integer +--E 231 + +--S 232 of 532 +t0743:= csc(x)-sin(x) +--R +--R +--R (214) - sin(x) + csc(x) +--R Type: Expression Integer +--E 232 + +--S 233 of 532 +r0743:= -atanh(cos(x))+cos(x) +--R +--R +--R (215) - atanh(cos(x)) + cos(x) +--R Type: Expression Integer +--E 233 + +--S 234 of 532 +a0743:= integrate(t0743,x) +--R +--R +--R sin(x) +--R (216) log(----------) + cos(x) +--R cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 234 + +--S 235 of 532 +m0743:= a0743-r0743 +--R +--R +--R sin(x) +--R (217) log(----------) + atanh(cos(x)) +--R cos(x) + 1 +--R Type: Expression Integer +--E 235 + +--S 236 of 532 +d0743:= D(m0743,x) +--R +--R +--R 2 3 +--R cos(x)sin(x) + cos(x) - cos(x) +--R (218) -------------------------------- +--R 2 +--R (cos(x) - 1)sin(x) +--R Type: Expression Integer +--E 236 + +--S 237 of 532 +t0744:= sec(x)-cos(x) +--R +--R +--R (219) sec(x) - cos(x) +--R Type: Expression Integer +--E 237 + +--S 238 of 532 +r0744:= atanh(sin(x))-sin(x) +--R +--R +--R (220) atanh(sin(x)) - sin(x) +--R Type: Expression Integer +--E 238 + +--S 239 of 532 +a0744:= integrate(t0744,x) +--R +--R +--R sin(x) + cos(x) + 1 sin(x) - cos(x) - 1 +--R (221) log(-------------------) - log(-------------------) - sin(x) +--R cos(x) + 1 cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 239 + +--S 240 of 532 +m0744:= a0744-r0744 +--R +--R +--R sin(x) + cos(x) + 1 sin(x) - cos(x) - 1 +--R (222) log(-------------------) - log(-------------------) - atanh(sin(x)) +--R cos(x) + 1 cos(x) + 1 +--R Type: Expression Integer +--E 240 + +--S 241 of 532 +d0744:= D(m0744,x) +--R +--R +--R 4 2 2 3 +--R - 2sin(x) + (- 2cos(x) - cos(x) + 2)sin(x) - cos(x) + cos(x) +--R (223) ------------------------------------------------------------------ +--R 4 2 2 2 +--R sin(x) + (- cos(x) - 2cos(x) - 2)sin(x) + cos(x) + 2cos(x) + 1 +--R Type: Expression Integer +--E 241 + +--S 242 of 532 +t0745:= (sec(x)-cos(x))^(1/2) +--R +--R +--R +---------------+ +--R (224) \|sec(x) - cos(x) +--R Type: Expression Integer +--E 242 + +--S 243 of 532 +r0745:= -2*cot(x)*(tan(x)*sin(x))^(1/2) +--R +--R +--R +------------+ +--R (225) - 2cot(x)\|sin(x)tan(x) +--R Type: Expression Integer +--E 243 + +--S 244 of 532 +a0745:= integrate(t0745,x) +--R +--R +--R +-------------------------------------------+ +--R | 2 +--R | 16cos(x) +--R (226) (- cos(x) - 1) |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 244 + +--S 245 of 532 +m0745:= a0745-r0745 +--R +--R +--R (227) +--R +------------+ +--R 2cot(x)\|sin(x)tan(x) +--R + +--R +-------------------------------------------+ +--R | 2 +--R | 16cos(x) +--R (- cos(x) - 1) |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R Type: Expression Integer +--E 245 + +--S 246 of 532 +d0745:= D(m0745,x) +--R +--R +--R (228) +--R +------------+ +--R 8cos(x)sin(x)\|sin(x)tan(x) +--R + +--R 3 2 2 +--R (cos(x) + 3cos(x) + 3cos(x) + 1)cot(x)sin(x)tan(x) +--R + +--R 3 2 2 3 +--R (- 2cos(x) - 6cos(x) - 6cos(x) - 2)cot(x) - 2cos(x) +--R + +--R 2 +--R - 6cos(x) - 6cos(x) - 2 +--R * +--R sin(x) +--R + +--R 4 3 2 +--R (cos(x) + 3cos(x) + 3cos(x) + cos(x))cot(x) +--R * +--R tan(x) +--R + +--R 3 2 +--R (cos(x) + 3cos(x) + 3cos(x) + 1)cot(x)sin(x) +--R * +--R +-------------------------------------------+3 +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R 3 2 +--R (cos(x) + 3cos(x) + 3cos(x) + 1) +--R * +--R +-------------------------------------------+3 +--R | 2 +--R | 16cos(x) +------------+ +--R |------------------------------------------- \|sin(x)tan(x) +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R Type: Expression Integer +--E 246 + +--S 247 of 532 +t0746:= (sec(x)-cos(x))^(3/2) +--R +--R +--R +---------------+ +--R (229) (sec(x) - cos(x))\|sec(x) - cos(x) +--R Type: Expression Integer +--E 247 + +--S 248 of 532 +r0746:= 2/3*csc(x)*(4-sin(x)^2)*(tan(x)*sin(x))^(1/2) +--R +--R +--R 2 +------------+ +--R (- 2csc(x)sin(x) + 8csc(x))\|sin(x)tan(x) +--R (230) ------------------------------------------- +--R 3 +--R Type: Expression Integer +--E 248 + +--S 249 of 532 +a0746:= integrate(t0746,x) +--R +--R +--R (231) +--R 3 2 +--R (cos(x) + cos(x) + 3cos(x) + 3) +--R * +--R +-------------------------------------------+ +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R 3cos(x) +--R Type: Union(Expression Integer,...) +--E 249 + +--S 250 of 532 +m0746:= a0746-r0746 +--R +--R +--R (232) +--R 2 +------------+ +--R (2cos(x)csc(x)sin(x) - 8cos(x)csc(x))\|sin(x)tan(x) +--R + +--R 3 2 +--R (cos(x) + cos(x) + 3cos(x) + 3) +--R * +--R +-------------------------------------------+ +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R 3cos(x) +--R Type: Expression Integer +--E 250 + +--S 251 of 532 +d0746:= D(m0746,x) +--R +--R +--R (233) +--R +------------+ +--R (- 24cos(x) + 24)sin(x)\|sin(x)tan(x) +--R + +--R 2 3 +--R (cos(x) + 2cos(x) + 1)csc(x)sin(x) +--R + +--R 2 +--R (- 4cos(x) - 8cos(x) - 4)csc(x)sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 2 3 +--R (- 2cos(x) - 4cos(x) - 2)cot(x)csc(x)sin(x) +--R + +--R 3 2 2 +--R (5cos(x) + 10cos(x) + 5cos(x))csc(x)sin(x) +--R + +--R 2 +--R (8cos(x) + 16cos(x) + 8)cot(x)csc(x)sin(x) +--R + +--R 3 2 +--R (- 4cos(x) - 8cos(x) - 4cos(x))csc(x) +--R * +--R tan(x) +--R + +--R 2 3 +--R (cos(x) + 2cos(x) + 1)csc(x)sin(x) +--R + +--R 2 +--R (- 4cos(x) - 8cos(x) - 4)csc(x)sin(x) +--R * +--R +-------------------------------------------+3 +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R +-------------------------------------------+3 +--R | 2 +--R 2 | 16cos(x) +--R (3cos(x) + 6cos(x) + 3) |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R * +--R +------------+ +--R \|sin(x)tan(x) +--R Type: Expression Integer +--E 251 + +--S 252 of 532 +t0747:= (sec(x)-cos(x))^(5/2) +--R +--R +--R 2 2 +---------------+ +--R (234) (sec(x) - 2cos(x)sec(x) + cos(x) )\|sec(x) - cos(x) +--R Type: Expression Integer +--E 252 + +--S 253 of 532 +r0747:= 2/15*cot(x)*(tan(x)*sin(x))^(1/2)*(32+(8-3*sin(x)^2)*tan(x)^2) +--R +--R +--R 2 2 +------------+ +--R ((- 6cot(x)sin(x) + 16cot(x))tan(x) + 64cot(x))\|sin(x)tan(x) +--R (235) ---------------------------------------------------------------- +--R 15 +--R Type: Expression Integer +--E 253 + +--S 254 of 532 +a0747:= integrate(t0747,x) +--R +--R +--R (236) +--R 5 4 3 2 +--R (- 3cos(x) - 3cos(x) + 30cos(x) + 30cos(x) + 5cos(x) + 5) +--R * +--R +-------------------------------------------+ +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R 2 +--R 15cos(x) +--R Type: Union(Expression Integer,...) +--E 254 + +--S 255 of 532 +m0747:= a0747-r0747 +--R +--R +--R (237) +--R 2 2 2 2 2 +--R ((6cos(x) cot(x)sin(x) - 16cos(x) cot(x))tan(x) - 64cos(x) cot(x)) +--R * +--R +------------+ +--R \|sin(x)tan(x) +--R + +--R 5 4 3 2 +--R (- 3cos(x) - 3cos(x) + 30cos(x) + 30cos(x) + 5cos(x) + 5) +--R * +--R +-------------------------------------------+ +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R 2 +--R 15cos(x) +--R Type: Expression Integer +--E 255 + +--S 256 of 532 +d0747:= D(m0747,x) +--R +--R +--R (238) +--R 2 +------------+ +--R (120cos(x) - 240cos(x) + 120)sin(x)\|sin(x)tan(x) +--R + +--R 2 3 +--R (15cos(x) + 15cos(x))cot(x)sin(x) +--R + +--R 2 +--R (- 40cos(x) - 40cos(x))cot(x)sin(x) +--R * +--R 4 +--R tan(x) +--R + +--R 2 2 2 3 +--R ((- 6cos(x) - 6cos(x))cot(x) - 6cos(x) - 6cos(x))sin(x) +--R + +--R 3 2 2 +--R (15cos(x) + 15cos(x) )cot(x)sin(x) +--R + +--R 2 2 2 +--R ((16cos(x) + 16cos(x))cot(x) + 16cos(x) + 16cos(x))sin(x) +--R + +--R 3 2 +--R (- 8cos(x) - 8cos(x) )cot(x) +--R * +--R 3 +--R tan(x) +--R + +--R 2 3 +--R (15cos(x) + 15cos(x))cot(x)sin(x) +--R + +--R 2 +--R (- 72cos(x) - 72cos(x))cot(x)sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 2 2 2 +--R ((64cos(x) + 64cos(x))cot(x) + 64cos(x) + 64cos(x))sin(x) +--R + +--R 3 2 +--R (- 32cos(x) - 32cos(x) )cot(x) +--R * +--R tan(x) +--R + +--R 2 +--R (- 32cos(x) - 32cos(x))cot(x)sin(x) +--R * +--R +-------------------------------------------+3 +--R | 2 +--R | 16cos(x) +--R |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R / +--R +-------------------------------------------+3 +--R | 2 +--R 2 | 16cos(x) +--R (15cos(x) + 15cos(x)) |------------------------------------------- +--R 4| 4 3 2 +--R \|cos(x) + 4cos(x) + 6cos(x) + 4cos(x) + 1 +--R * +--R +------------+ +--R \|sin(x)tan(x) +--R Type: Expression Integer +--E 256 + +--S 257 of 532 +t0748:= 1/(cos(x)^2-sin(x)^2) +--R +--R +--R 1 +--R (239) - ----------------- +--R 2 2 +--R sin(x) - cos(x) +--R Type: Expression Integer +--E 257 + +--S 258 of 532 +r0748:= 1/2*atanh(sin(2*x)) +--R +--R +--R atanh(sin(2x)) +--R (240) -------------- +--R 2 +--R Type: Expression Integer +--E 258 + +--S 259 of 532 +a0748:= integrate(t0748,x) +--R +--R +--R 2sin(x) - 2cos(x) - 2sin(x) - 2cos(x) +--R - log(-----------------) + log(-------------------) +--R cos(x) + 1 cos(x) + 1 +--R (241) --------------------------------------------------- +--R 2 +--R Type: Union(Expression Integer,...) +--E 259 + +--S 260 of 532 +m0748:= a0748-r0748 +--R +--R +--R 2sin(x) - 2cos(x) - 2sin(x) - 2cos(x) +--R - log(-----------------) + log(-------------------) - atanh(sin(2x)) +--R cos(x) + 1 cos(x) + 1 +--R (242) -------------------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 260 + +--S 261 of 532 +d0748:= D(m0748,x) +--R +--R +--R (243) +--R 2 2 2 2 2 +--R (- sin(x) - cos(x) )sin(2x) + (cos(2x) + 1)sin(x) - cos(x) cos(2x) +--R + +--R 2 +--R cos(x) +--R / +--R 2 2 2 2 2 +--R (sin(x) - cos(x) )sin(2x) - sin(x) + cos(x) +--R Type: Expression Integer +--E 261 + +--S 262 of 532 +t0749:= 1/(cos(x)^2-sin(x)^2)^3 +--R +--R +--R 1 +--R (244) - ----------------------------------------------------- +--R 6 2 4 4 2 6 +--R sin(x) - 3cos(x) sin(x) + 3cos(x) sin(x) - cos(x) +--R Type: Expression Integer +--E 262 + +--S 263 of 532 +r0749:= 1/4*atanh(sin(2*x))+1/4*sec(2*x)*tan(2*x) +--R +--R +--R atanh(sin(2x)) + sec(2x)tan(2x) +--R (245) ------------------------------- +--R 4 +--R Type: Expression Integer +--E 263 + +--S 264 of 532 +a0749:= integrate(t0749,x) +--R +--R +--R (246) +--R 4 2 2sin(x) - 2cos(x) +--R (- 4cos(x) + 4cos(x) - 1)log(-----------------) +--R cos(x) + 1 +--R + +--R 4 2 - 2sin(x) - 2cos(x) +--R (4cos(x) - 4cos(x) + 1)log(-------------------) + 2cos(x)sin(x) +--R cos(x) + 1 +--R / +--R 4 2 +--R 16cos(x) - 16cos(x) + 4 +--R Type: Union(Expression Integer,...) +--E 264 + +--S 265 of 532 +m0749:= a0749-r0749 +--R +--R +--R (247) +--R 4 2 2sin(x) - 2cos(x) +--R (- 4cos(x) + 4cos(x) - 1)log(-----------------) +--R cos(x) + 1 +--R + +--R 4 2 - 2sin(x) - 2cos(x) +--R (4cos(x) - 4cos(x) + 1)log(-------------------) +--R cos(x) + 1 +--R + +--R 4 2 +--R (- 4cos(x) + 4cos(x) - 1)atanh(sin(2x)) +--R + +--R 4 2 +--R (- 4cos(x) + 4cos(x) - 1)sec(2x)tan(2x) + 2cos(x)sin(x) +--R / +--R 4 2 +--R 16cos(x) - 16cos(x) + 4 +--R Type: Expression Integer +--E 265 + +--S 266 of 532 +d0749:= D(m0749,x) +--R +--R +--R (248) +--R 6 4 2 2 +--R (- 16cos(x) + 24cos(x) - 12cos(x) + 2)sec(2x)sin(x) +--R + +--R 8 6 4 2 +--R (16cos(x) - 24cos(x) + 12cos(x) - 2cos(x) )sec(2x) +--R * +--R 2 +--R sin(2x) +--R + +--R 6 4 2 2 +--R (16cos(x) - 24cos(x) + 12cos(x) - 2)sec(2x)sin(x) +--R + +--R 8 6 4 2 +--R (- 16cos(x) + 24cos(x) - 12cos(x) + 2cos(x) )sec(2x) +--R * +--R 2 +--R tan(2x) +--R + +--R 2 4 +--R (6cos(x) + 1)sin(x) +--R + +--R 6 4 2 6 +--R (- 8cos(x) + 12cos(x) - 6cos(x) + 1)sec(2x) - 8cos(x) +--R + +--R 4 2 +--R 8cos(x) - 8cos(x) + 1 +--R * +--R 2 +--R sin(x) +--R + +--R 8 6 4 2 8 +--R (8cos(x) - 12cos(x) + 6cos(x) - cos(x) )sec(2x) - 8cos(x) +--R + +--R 6 4 2 +--R 10cos(x) - 5cos(x) + cos(x) +--R * +--R 2 +--R sin(2x) +--R + +--R 2 4 +--R (- 6cos(x) - 1)sin(x) +--R + +--R 6 4 2 +--R (8cos(x) - 12cos(x) + 6cos(x) - 1)sec(2x) +--R + +--R 6 4 2 6 4 +--R (8cos(x) - 12cos(x) + 6cos(x) - 1)cos(2x) + 8cos(x) - 8cos(x) +--R + +--R 2 +--R 8cos(x) - 1 +--R * +--R 2 +--R sin(x) +--R + +--R 8 6 4 2 +--R (- 8cos(x) + 12cos(x) - 6cos(x) + cos(x) )sec(2x) +--R + +--R 8 6 4 2 8 +--R (- 8cos(x) + 12cos(x) - 6cos(x) + cos(x) )cos(2x) + 8cos(x) +--R + +--R 6 4 2 +--R - 10cos(x) + 5cos(x) - cos(x) +--R / +--R 6 4 2 2 8 +--R (16cos(x) - 24cos(x) + 12cos(x) - 2)sin(x) - 16cos(x) +--R + +--R 6 4 2 +--R 24cos(x) - 12cos(x) + 2cos(x) +--R * +--R 2 +--R sin(2x) +--R + +--R 6 4 2 2 8 6 +--R (- 16cos(x) + 24cos(x) - 12cos(x) + 2)sin(x) + 16cos(x) - 24cos(x) +--R + +--R 4 2 +--R 12cos(x) - 2cos(x) +--R Type: Expression Integer +--E 266 + +--S 267 of 532 +t0750:= 1/(sec(x)^2-tan(x)^2) +--R +--R +--R 1 +--R (249) - ----------------- +--R 2 2 +--R tan(x) - sec(x) +--R Type: Expression Integer +--E 267 + +--S 268 of 532 +r0750:= x +--R +--R +--R (250) x +--R Type: Variable x +--E 268 + +--S 269 of 532 +a0750:= integrate(t0750,x) +--R +--R +--R (251) x +--R Type: Union(Expression Integer,...) +--E 269 + +--S 270 of 532 +m0750:= a0750-r0750 +--R +--R +--R (252) 0 +--R Type: Expression Integer +--E 270 + +--S 271 of 532 +d0750:= D(m0750,x) +--R +--R +--R (253) 0 +--R Type: Expression Integer +--E 271 + +--S 272 of 532 +t0751:= 1/(sec(x)^2-tan(x)^2)^2 +--R +--R +--R 1 +--R (254) ----------------------------------- +--R 4 2 2 4 +--R tan(x) - 2sec(x) tan(x) + sec(x) +--R Type: Expression Integer +--E 272 + +--S 273 of 532 +r0751:= x +--R +--R +--R (255) x +--R Type: Variable x +--E 273 + +--S 274 of 532 +a0751:= integrate(t0751,x) +--R +--R +--R (256) x +--R Type: Union(Expression Integer,...) +--E 274 + +--S 275 of 532 +m0751:= a0751-r0751 +--R +--R +--R (257) 0 +--R Type: Expression Integer +--E 275 + +--S 276 of 532 +d0751:= D(m0751,x) +--R +--R +--R (258) 0 +--R Type: Expression Integer +--E 276 + +--S 277 of 532 +t0752:= 1/(sec(x)^2-tan(x)^2)^3 +--R +--R +--R 1 +--R (259) - ----------------------------------------------------- +--R 6 2 4 4 2 6 +--R tan(x) - 3sec(x) tan(x) + 3sec(x) tan(x) - sec(x) +--R Type: Expression Integer +--E 277 + +--S 278 of 532 +r0752:= x +--R +--R +--R (260) x +--R Type: Variable x +--E 278 + +--S 279 of 532 +a0752:= integrate(t0752,x) +--R +--R +--R (261) x +--R Type: Union(Expression Integer,...) +--E 279 + +--S 280 of 532 +m0752:= a0752-r0752 +--R +--R +--R (262) 0 +--R Type: Expression Integer +--E 280 + +--S 281 of 532 +d0752:= D(m0752,x) +--R +--R +--R (263) 0 +--R Type: Expression Integer +--E 281 + +--S 282 of 532 +t0753:= 1/(cot(x)^2-csc(x)^2) +--R +--R +--R 1 +--R (264) - ----------------- +--R 2 2 +--R csc(x) - cot(x) +--R Type: Expression Integer +--E 282 + +--S 283 of 532 +r0753:= -x +--R +--R +--R (265) - x +--R Type: Polynomial Integer +--E 283 + +--S 284 of 532 +a0753:= integrate(t0753,x) +--R +--R +--R (266) - x +--R Type: Union(Expression Integer,...) +--E 284 + +--S 285 of 532 +m0753:= a0753-r0753 +--R +--R +--R (267) 0 +--R Type: Expression Integer +--E 285 + +--S 286 of 532 +d0753:= D(m0753,x) +--R +--R +--R (268) 0 +--R Type: Expression Integer +--E 286 + +--S 287 of 532 +t0754:= 1/(cot(x)^2-csc(x)^2)^2 +--R +--R +--R 1 +--R (269) ----------------------------------- +--R 4 2 2 4 +--R csc(x) - 2cot(x) csc(x) + cot(x) +--R Type: Expression Integer +--E 287 + +--S 288 of 532 +r0754:= x +--R +--R +--R (270) x +--R Type: Variable x +--E 288 + +--S 289 of 532 +a0754:= integrate(t0754,x) +--R +--R +--R (271) x +--R Type: Union(Expression Integer,...) +--E 289 + +--S 290 of 532 +m0754:= a0754-r0754 +--R +--R +--R (272) 0 +--R Type: Expression Integer +--E 290 + +--S 291 of 532 +d0754:= D(m0754,x) +--R +--R +--R (273) 0 +--R Type: Expression Integer +--E 291 + +--S 292 of 532 +t0755:= 1/(cot(x)^2-csc(x)^2)^3 +--R +--R +--R 1 +--R (274) - ----------------------------------------------------- +--R 6 2 4 4 2 6 +--R csc(x) - 3cot(x) csc(x) + 3cot(x) csc(x) - cot(x) +--R Type: Expression Integer +--E 292 + +--S 293 of 532 +r0755:= -x +--R +--R +--R (275) - x +--R Type: Polynomial Integer +--E 293 + +--S 294 of 532 +a0755:= integrate(t0755,x) +--R +--R +--R (276) - x +--R Type: Union(Expression Integer,...) +--E 294 + +--S 295 of 532 +m0755:= a0755-r0755 +--R +--R +--R (277) 0 +--R Type: Expression Integer +--E 295 + +--S 296 of 532 +d0755:= D(m0755,x) +--R +--R +--R (278) 0 +--R Type: Expression Integer +--E 296 + +--S 297 of 532 +t0756:= ((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^3 +--R +--R +--R (279) +--R +-------+ +--R 2 2 2 2 2 2 | 2 2 +--R (3c sin(x) + 6b c cos(x)sin(x) + 3b cos(x) + c + b )\|c + b +--R + +--R 3 3 2 2 2 2 3 2 +--R c sin(x) + 3b c cos(x)sin(x) + (3b c cos(x) + 3c + 3b c)sin(x) +--R + +--R 3 3 2 3 +--R b cos(x) + (3b c + 3b )cos(x) +--R Type: Expression Integer +--E 297 + +--S 298 of 532 +r0756:= 5/2*(b^2+c^2)^(3/2)*x-5/2*c*(b^2+c^2)*cos(x)+5/2*b*(b^2+c^2)*sin(x)-5/6*(b^2+c^2)^(1/2)*(c*cos(x)-b*sin(x))*((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))-1/3*(c*cos(x)-b*sin(x))*((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^2 +--R +--R +--R (280) +--R 2 2 2 2 +--R 9b c sin(x) + (- 9c + 9b )cos(x)sin(x) - 9b c cos(x) +--R + +--R 2 2 +--R (15c + 15b )x +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 2 3 3 2 2 +--R 2b c sin(x) + (- 2c + 4b c)cos(x)sin(x) +--R + +--R 2 3 2 2 3 2 3 +--R ((- 4b c + 2b )cos(x) + 22b c + 22b )sin(x) - 2b c cos(x) +--R + +--R 3 2 +--R (- 22c - 22b c)cos(x) +--R / +--R 6 +--R Type: Expression Integer +--E 298 + +--S 299 of 532 +--a0756:= integrate(t0756,x) +--E 299 + +--S 300 of 532 +--m0756:= a0756-r0756 +--E 300 + +--S 301 of 532 +--d0756:= D(m0756,x) +--E 301 + +--S 302 of 532 +t0757:= 1/((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^2 +--R +--R +--R (281) +--R 1 +--R / +--R +-------+ +--R | 2 2 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + c sin(x) + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 +--R b cos(x) + c + b +--R Type: Expression Integer +--E 302 + +--S 303 of 532 +r0757:= -1/3*(c*cos(x)-b*sin(x))/(b^2+c^2)^(1/2)/((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^2-2/3/(b^2+c^2)^(1/2)/(c-(b-(b^2+c^2)^(1/2))*tan(1/2*x)) +--R +--R +--R (282) +--R 2 x 2 2 +--R (- b sin(x) + b c cos(x))tan(-) - 2c sin(x) +--R 2 +--R + +--R 2 2 2 2 2 +--R (- 4b c cos(x) + b c)sin(x) - 2b cos(x) - c cos(x) - 2c - 2b +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 2 3 3 2 x 3 2 +--R ((b c + b )sin(x) + (- c - b c)cos(x))tan(-) + (- 4c - 4b c)sin(x) +--R 2 +--R + +--R 2 3 +--R (- 4b c - 4b )cos(x) +--R / +--R 4 2 2 2 +--R (3c + 3b c )sin(x) +--R + +--R 3 3 3 3 +--R ((6b c + 6b c)cos(x) - 6b c - 6b c)sin(x) +--R + +--R 2 2 4 2 2 2 4 4 2 2 4 +--R (3b c + 3b )cos(x) + (- 6b c - 6b )cos(x) + 3c + 6b c + 3b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 4 2 2 3 3 +--R (6c + 6b c )sin(x) + (6b c + 6b c)cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 4 3 2 2 +--R (- 3b c - 3b c )sin(x) +--R + +--R 2 3 4 5 2 3 4 +--R ((- 6b c - 6b c)cos(x) + 6c + 12b c + 6b c)sin(x) +--R + +--R 3 2 5 2 4 3 2 5 4 3 2 +--R (- 3b c - 3b )cos(x) + (6b c + 12b c + 6b )cos(x) - 3b c - 6b c +--R + +--R 5 +--R - 3b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 5 2 3 2 4 3 2 +--R (3c + 3b c )sin(x) + (6b c + 6b c )cos(x)sin(x) +--R + +--R 2 3 4 2 5 2 3 4 +--R (3b c + 3b c)cos(x) + 3c + 6b c + 3b c +--R Type: Expression Integer +--E 303 + +--S 304 of 532 +--a0757:= integrate(t0757,x) +--E 304 + +--S 305 of 532 +--m0757:= a0757-r0757 +--E 305 + +--S 306 of 532 +--d0757:= D(m0757,x) +--E 306 + +--S 307 of 532 +t0758:= 1/((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^3 +--R +--R +--R (283) +--R 1 +--R / +--R +-------+ +--R 2 2 2 2 2 2 | 2 2 +--R (3c sin(x) + 6b c cos(x)sin(x) + 3b cos(x) + c + b )\|c + b +--R + +--R 3 3 2 2 2 2 3 2 +--R c sin(x) + 3b c cos(x)sin(x) + (3b c cos(x) + 3c + 3b c)sin(x) +--R + +--R 3 3 2 3 +--R b cos(x) + (3b c + 3b )cos(x) +--R Type: Expression Integer +--E 307 + +--S 308 of 532 +r0758:= -1/5*(c*cos(x)-b*sin(x))/(b^2+c^2)^(1/2)/((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^3-2/15*(c*cos(x)-b*sin(x))/(b^2+c^2)/((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^2-4/15/(b^2+c^2)/(c-(b-(b^2+c^2)^(1/2))*tan(1/2*x)) +--R +--R +--R (284) +--R 2 3 4 4 3 2 4 3 2 3 +--R 2b c sin(x) + ((- 2b c + 6b c )cos(x) - 9b c - 9b c )sin(x) +--R + +--R 2 3 4 2 5 2 3 4 +--R (- 6b c + 6b c)cos(x) + (9c - 9b c - 18b c)cos(x) +--R + +--R 2 3 4 +--R 12b c + 12b c +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 5 3 4 3 2 5 2 +--R (- 6b c + 2b )cos(x) + (18b c + 9b c - 9b )cos(x) +--R + +--R 4 5 4 3 2 5 +--R (- 12b c + 12b )cos(x) - 5b c - 10b c - 5b +--R * +--R sin(x) +--R + +--R 4 4 2 3 4 3 +--R - 2b c cos(x) + (9b c + 9b c)cos(x) +--R + +--R 2 3 4 2 5 2 3 4 +--R (- 12b c - 12b c)cos(x) + (5c + 10b c + 5b c)cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 5 5 4 4 4 +--R 4c sin(x) + (20b c cos(x) - 2b c )sin(x) +--R + +--R 2 3 2 5 2 3 5 2 3 3 +--R (40b c cos(x) + (2c - 6b c )cos(x) + 40c + 40b c )sin(x) +--R + +--R 3 2 3 4 3 2 2 +--R 40b c cos(x) + (6b c - 6b c )cos(x) +--R + +--R 4 3 2 4 3 2 +--R (120b c + 120b c )cos(x) - 12b c - 12b c +--R * +--R 2 +--R sin(x) +--R + +--R 4 4 2 3 4 3 2 3 4 2 +--R 20b c cos(x) + (6b c - 2b c)cos(x) + (120b c + 120b c)cos(x) +--R + +--R 5 4 5 2 3 4 +--R (12c - 12b c)cos(x) + 20c + 40b c + 20b c +--R * +--R sin(x) +--R + +--R 5 5 3 2 4 3 2 5 3 +--R 4b cos(x) + 2b c cos(x) + (40b c + 40b )cos(x) +--R + +--R 4 3 2 2 4 3 2 5 +--R (12b c + 12b c )cos(x) + (20b c + 40b c + 20b )cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 5 3 3 4 +--R (- 2b c - 2b c )sin(x) +--R + +--R 6 2 4 4 2 2 4 4 2 3 +--R ((2c - 4b c - 6b c )cos(x) + 9b c + 9b c )sin(x) +--R + +--R 5 5 2 5 3 3 5 5 +--R (6b c - 6b c)cos(x) + (- 9b c + 9b c + 18b c)cos(x) - 12b c +--R + +--R 3 3 5 +--R - 24b c - 12b c +--R * +--R 2 +--R sin(x) +--R + +--R 2 4 4 2 6 3 2 4 4 2 6 2 +--R (6b c + 4b c - 2b )cos(x) + (- 18b c - 9b c + 9b )cos(x) +--R + +--R 6 2 4 4 2 6 2 4 4 2 6 +--R (12c + 12b c - 12b c - 12b )cos(x) + 5b c + 10b c + 5b +--R * +--R sin(x) +--R + +--R 3 3 5 4 3 3 5 3 +--R (2b c + 2b c)cos(x) + (- 9b c - 9b c)cos(x) +--R + +--R 5 3 3 5 2 5 3 3 5 +--R (12b c + 24b c + 12b c)cos(x) + (- 5b c - 10b c - 5b c)cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 6 2 4 4 5 3 3 5 3 3 3 +--R (20c + 20b c )sin(x) + ((80b c + 80b c )cos(x) - 9b c - 9b c )sin(x) +--R + +--R 2 4 4 2 2 6 2 4 4 2 6 +--R (120b c + 120b c )cos(x) + (9c - 9b c - 18b c )cos(x) + 40c +--R + +--R 2 4 4 2 +--R 80b c + 40b c +--R * +--R 2 +--R sin(x) +--R + +--R 3 3 5 3 5 3 3 5 2 +--R (80b c + 80b c)cos(x) + (18b c + 9b c - 9b c)cos(x) +--R + +--R 5 3 3 5 5 3 3 5 +--R (80b c + 160b c + 80b c)cos(x) - 5b c - 10b c - 5b c +--R * +--R sin(x) +--R + +--R 4 2 6 4 2 4 4 2 3 +--R (20b c + 20b )cos(x) + (9b c + 9b c )cos(x) +--R + +--R 2 4 4 2 6 2 6 2 4 4 2 6 +--R (40b c + 80b c + 40b )cos(x) + (5c + 10b c + 5b c )cos(x) + 4c +--R + +--R 2 4 4 2 6 +--R 12b c + 12b c + 4b +--R / +--R 7 3 5 5 +--R (15b c + 15b c )sin(x) +--R + +--R 2 6 4 4 8 2 6 4 4 4 +--R ((75b c + 75b c )cos(x) - 75c - 150b c - 75b c )sin(x) +--R + +--R 3 5 5 3 2 +--R (150b c + 150b c )cos(x) +--R + +--R 7 3 5 5 3 7 3 5 +--R (- 300b c - 600b c - 300b c )cos(x) + 150b c + 300b c +--R + +--R 5 3 +--R 150b c +--R * +--R 3 +--R sin(x) +--R + +--R 4 4 6 2 3 +--R (150b c + 150b c )cos(x) +--R + +--R 2 6 4 4 6 2 2 +--R (- 450b c - 900b c - 450b c )cos(x) +--R + +--R 2 6 4 4 6 2 8 2 6 +--R (450b c + 900b c + 450b c )cos(x) - 150c - 450b c +--R + +--R 4 4 6 2 +--R - 450b c - 150b c +--R * +--R 2 +--R sin(x) +--R + +--R 5 3 7 4 +--R (75b c + 75b c)cos(x) +--R + +--R 3 5 5 3 7 3 +--R (- 300b c - 600b c - 300b c)cos(x) +--R + +--R 3 5 5 3 7 2 +--R (450b c + 900b c + 450b c)cos(x) +--R + +--R 7 3 5 5 3 7 7 +--R (- 300b c - 900b c - 900b c - 300b c)cos(x) + 75b c +--R + +--R 3 5 5 3 7 +--R 225b c + 225b c + 75b c +--R * +--R sin(x) +--R + +--R 6 2 8 5 4 4 6 2 8 4 +--R (15b c + 15b )cos(x) + (- 75b c - 150b c - 75b )cos(x) +--R + +--R 4 4 6 2 8 3 +--R (150b c + 300b c + 150b )cos(x) +--R + +--R 2 6 4 4 6 2 8 2 +--R (- 150b c - 450b c - 450b c - 150b )cos(x) +--R + +--R 2 6 4 4 6 2 8 8 2 6 +--R (75b c + 225b c + 225b c + 75b )cos(x) - 15c - 60b c +--R + +--R 4 4 6 2 8 +--R - 90b c - 60b c - 15b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 8 2 6 5 7 3 5 4 +--R (- 15c - 15b c )sin(x) + (- 75b c - 75b c )cos(x)sin(x) +--R + +--R 2 6 4 4 2 8 2 6 4 4 3 +--R ((- 150b c - 150b c )cos(x) - 150c - 300b c - 150b c )sin(x) +--R + +--R 3 5 5 3 3 +--R (- 150b c - 150b c )cos(x) +--R + +--R 7 3 5 5 3 +--R (- 450b c - 900b c - 450b c )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 4 4 6 2 4 +--R (- 75b c - 75b c )cos(x) +--R + +--R 2 6 4 4 6 2 2 8 2 6 4 4 +--R (- 450b c - 900b c - 450b c )cos(x) - 75c - 225b c - 225b c +--R + +--R 6 2 +--R - 75b c +--R * +--R sin(x) +--R + +--R 5 3 7 5 3 5 5 3 7 3 +--R (- 15b c - 15b c)cos(x) + (- 150b c - 300b c - 150b c)cos(x) +--R + +--R 7 3 5 5 3 7 +--R (- 75b c - 225b c - 225b c - 75b c)cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 9 2 7 4 5 5 +--R (- 15c - 30b c - 15b c )sin(x) +--R + +--R 8 3 6 5 4 8 3 6 5 4 +--R ((- 75b c - 150b c - 75b c )cos(x) + 75b c + 150b c + 75b c ) +--R * +--R 4 +--R sin(x) +--R + +--R 2 7 4 5 6 3 2 +--R (- 150b c - 300b c - 150b c )cos(x) +--R + +--R 2 7 4 5 6 3 9 2 7 4 5 +--R (300b c + 600b c + 300b c )cos(x) - 150c - 450b c - 450b c +--R + +--R 6 3 +--R - 150b c +--R * +--R 3 +--R sin(x) +--R + +--R 3 6 5 4 7 2 3 +--R (- 150b c - 300b c - 150b c )cos(x) +--R + +--R 3 6 5 4 7 2 2 +--R (450b c + 900b c + 450b c )cos(x) +--R + +--R 8 3 6 5 4 7 2 8 +--R (- 450b c - 1350b c - 1350b c - 450b c )cos(x) + 150b c +--R + +--R 3 6 5 4 7 2 +--R 450b c + 450b c + 150b c +--R * +--R 2 +--R sin(x) +--R + +--R 4 5 6 3 8 4 +--R (- 75b c - 150b c - 75b c)cos(x) +--R + +--R 4 5 6 3 8 3 +--R (300b c + 600b c + 300b c)cos(x) +--R + +--R 2 7 4 5 6 3 8 2 +--R (- 450b c - 1350b c - 1350b c - 450b c)cos(x) +--R + +--R 2 7 4 5 6 3 8 9 2 7 +--R (300b c + 900b c + 900b c + 300b c)cos(x) - 75c - 300b c +--R + +--R 4 5 6 3 8 +--R - 450b c - 300b c - 75b c +--R * +--R sin(x) +--R + +--R 5 4 7 2 9 5 5 4 7 2 9 4 +--R (- 15b c - 30b c - 15b )cos(x) + (75b c + 150b c + 75b )cos(x) +--R + +--R 3 6 5 4 7 2 9 3 +--R (- 150b c - 450b c - 450b c - 150b )cos(x) +--R + +--R 3 6 5 4 7 2 9 2 +--R (150b c + 450b c + 450b c + 150b )cos(x) +--R + +--R 8 3 6 5 4 7 2 9 8 +--R (- 75b c - 300b c - 450b c - 300b c - 75b )cos(x) + 15b c +--R + +--R 3 6 5 4 7 2 9 +--R 60b c + 90b c + 60b c + 15b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 9 2 7 4 5 4 +--R (- 75c - 150b c - 75b c )sin(x) +--R + +--R 8 3 6 5 4 3 +--R (- 300b c - 600b c - 300b c )cos(x)sin(x) +--R + +--R 2 7 4 5 6 3 2 9 2 7 4 5 +--R (- 450b c - 900b c - 450b c )cos(x) - 150c - 450b c - 450b c +--R + +--R 6 3 +--R - 150b c +--R * +--R 2 +--R sin(x) +--R + +--R 3 6 5 4 7 2 3 +--R (- 300b c - 600b c - 300b c )cos(x) +--R + +--R 8 3 6 5 4 7 2 +--R (- 300b c - 900b c - 900b c - 300b c )cos(x) +--R * +--R sin(x) +--R + +--R 4 5 6 3 8 4 +--R (- 75b c - 150b c - 75b c)cos(x) +--R + +--R 2 7 4 5 6 3 8 2 9 2 7 4 5 +--R (- 150b c - 450b c - 450b c - 150b c)cos(x) - 15c - 60b c - 90b c +--R + +--R 6 3 8 +--R - 60b c - 15b c +--R Type: Expression Integer +--E 308 + +--S 309 of 532 +--a0758:= integrate(t0758,x) +--E 309 + +--S 310 of 532 +--m0758:= a0758-r0758 +--E 310 + +--S 311 of 532 +--d0758:= D(m0758,x) +--E 311 + +--S 312 of 532 +t0759:= ((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^(1/2) +--R +--R +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R (285) \|\|c + b + c sin(x) + b cos(x) +--R Type: Expression Integer +--E 312 + +--S 313 of 532 +r0759:= -2*(c*cos(x)-b*sin(x))/((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^(1/2) +--R +--R +--R 2b sin(x) - 2c cos(x) +--R (286) ----------------------------------- +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R \|\|c + b + c sin(x) + b cos(x) +--R Type: Expression Integer +--E 313 + +--S 314 of 532 +a0759:= integrate(t0759,x) +--R +--R +--R (287) +--R 2b sin(x) - 2c cos(x) +--R / +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R Type: Union(Expression Integer,...) +--E 314 + +--S 315 of 532 +m0759:= a0759-r0759 +--R +--R +--R (288) +--R (- 2b sin(x) + 2c cos(x)) +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R + +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R (2b sin(x) - 2c cos(x))\|\|c + b + c sin(x) + b cos(x) +--R / +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R \|\|c + b + c sin(x) + b cos(x) +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R Type: Expression Integer +--E 315 + +--S 316 of 532 +d0759:= D(m0759,x) +--R +--R +--R (289) +--R 3 2 3 2 3 2 +--R (- 4c - 2b c)sin(x) + (- 12b c - 2b )cos(x)sin(x) +--R + +--R 2 2 3 2 3 3 +--R (- 14b c cos(x) - 4c - 2b c)sin(x) - 6b cos(x) +--R + +--R 2 3 +--R (- 4b c - 2b )cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 3 3 3 +--R (- 4b c - 2b c)cos(x)sin(x) +--R + +--R 4 2 2 4 2 4 2 2 4 2 +--R ((2c - 5b c - b )cos(x) - 8c - 8b c - b )sin(x) +--R + +--R 3 3 3 3 +--R (- 6b c cos(x) + (- 12b c - 10b c)cos(x))sin(x) +--R + +--R 4 2 2 4 4 4 2 2 4 2 +--R (c + b c - 2b )cos(x) + (- 2c - 9b c - 6b )cos(x) +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R + +--R 3 2 3 2 3 2 +--R (4c + 2b c)sin(x) + (12b c + 2b )cos(x)sin(x) +--R + +--R 2 2 3 2 3 3 +--R (14b c cos(x) + 4c + 2b c)sin(x) + 6b cos(x) +--R + +--R 2 3 +--R (4b c + 2b )cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 2 2 4 3 3 3 +--R b c sin(x) + (2b c + 2b c)cos(x)sin(x) +--R + +--R 4 2 2 4 2 4 2 2 4 2 +--R ((- c + 6b c + b )cos(x) + 8c + 7b c + b )sin(x) +--R + +--R 3 3 3 3 3 +--R ((- 2b c + 6b c)cos(x) + (14b c + 10b c)cos(x))sin(x) +--R + +--R 2 2 4 4 4 2 2 4 2 +--R (- b c + 2b )cos(x) + (c + 9b c + 6b )cos(x) +--R * +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R \|\|c + b + c sin(x) + b cos(x) +--R / +--R 2 2 2 2 2 2 2 +--R (2c sin(x) + 6b c cos(x)sin(x) + (- c + 3b )cos(x) + 2c + b ) +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 2 2 3 2 2 3 2 +--R 2b c cos(x)sin(x) + ((- c + 3b c)cos(x) + 4c + 3b c)sin(x) +--R + +--R 2 3 3 2 3 +--R (- b c + b )cos(x) + (4b c + 3b )cos(x) +--R * +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R \|\|c + b + c sin(x) + b cos(x) +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R Type: Expression Integer +--E 316 + +--S 317 of 532 +t0760:= ((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^(3/2) +--R +--R +--R (290) +--R +--------------------------------+ +--R +-------+ | +-------+ +--R | 2 2 | | 2 2 +--R (\|c + b + c sin(x) + b cos(x))\|\|c + b + c sin(x) + b cos(x) +--R Type: Expression Integer +--E 317 + +--S 318 of 532 +r0760:= -8/3*(b^2+c^2)^(1/2)*(c*cos(x)-b*sin(x))/((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^(1/2)-2/3*(c*cos(x)-b*sin(x))*((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^(1/2) +--R +--R +--R (291) +--R +-------+ +--R | 2 2 2 +--R (10b sin(x) - 10c cos(x))\|c + b + 2b c sin(x) +--R + +--R 2 2 2 +--R (- 2c + 2b )cos(x)sin(x) - 2b c cos(x) +--R / +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R 3\|\|c + b + c sin(x) + b cos(x) +--R Type: Expression Integer +--E 318 + +--S 319 of 532 +a0760:= integrate(t0760,x) +--R +--R +--R (292) +--R +-------+ +--R | 2 2 2 2 +--R (10b sin(x) - 10c cos(x))\|c + b + (- 2c + 2b )cos(x)sin(x) +--R + +--R 2 +--R - 4b c cos(x) + 2b c +--R / +--R 3 +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R Type: Union(Expression Integer,...) +--E 319 + +--S 320 of 532 +m0760:= a0760-r0760 +--R +--R +--R (293) +--R +-------+ +--R | 2 2 2 +--R (- 10b sin(x) + 10c cos(x))\|c + b - 2b c sin(x) +--R + +--R 2 2 2 +--R (2c - 2b )cos(x)sin(x) + 2b c cos(x) +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R + +--R +-------+ +--R | 2 2 2 2 +--R (10b sin(x) - 10c cos(x))\|c + b + (- 2c + 2b )cos(x)sin(x) +--R + +--R 2 +--R - 4b c cos(x) + 2b c +--R * +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R \|\|c + b + c sin(x) + b cos(x) +--R / +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R 3\|\|c + b + c sin(x) + b cos(x) +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R Type: Expression Integer +--E 320 + +--S 321 of 532 +d0760:= D(m0760,x) +--R +--R +--R (294) +--R 4 2 2 4 3 3 3 +--R (- 4c + 2b c )sin(x) + (- 44b c - 2b c)cos(x)sin(x) +--R + +--R 4 2 2 4 2 4 2 2 4 2 +--R ((14c - 77b c - b )cos(x) - 44c - 38b c - 3b )sin(x) +--R + +--R 3 3 3 3 3 +--R ((16b c - 62b c)cos(x) + (- 76b c - 58b c)cos(x))sin(x) +--R + +--R 4 2 2 4 4 4 2 2 4 2 +--R (3c + 11b c - 16b )cos(x) + (- 6c - 47b c - 32b )cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 4 3 2 4 +--R (- 4b c + 2b c )cos(x)sin(x) +--R + +--R 5 2 3 4 2 5 2 3 4 3 +--R ((2c - 19b c + 3b c)cos(x) - 28c - 30b c - 5b c)sin(x) +--R + +--R 4 3 2 5 3 4 3 2 5 +--R ((10b c - 25b c + b )cos(x) + (- 96b c - 92b c - 5b )cos(x)) +--R * +--R 2 +--R sin(x) +--R + +--R 5 2 3 4 4 5 2 3 4 2 +--R (- c + 11b c - 12b c)cos(x) + (6c - 101b c - 98b c)cos(x) +--R + +--R 5 2 3 4 +--R - 20c - 30b c - 10b c +--R * +--R sin(x) +--R + +--R 4 3 2 5 5 4 3 2 5 3 +--R (- b c + 3b c - 2b )cos(x) + (6b c - 33b c - 36b )cos(x) +--R + +--R 4 3 2 5 +--R (- 20b c - 30b c - 10b )cos(x) +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R + +--R 4 2 2 4 3 3 +--R (4c + b c )sin(x) + 36b c cos(x)sin(x) +--R + +--R 4 2 2 4 2 4 2 2 4 2 +--R ((- 9c + 82b c + b )cos(x) + 44c + 35b c + 3b )sin(x) +--R + +--R 3 3 3 3 3 +--R ((- 24b c + 60b c)cos(x) + (84b c + 60b c)cos(x))sin(x) +--R + +--R 4 2 2 4 4 4 2 2 4 2 +--R (2c - 9b c + 16b )cos(x) + (c + 45b c + 32b )cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 4 3 2 4 +--R (3b c - 3b c )cos(x)sin(x) +--R + +--R 5 2 3 4 2 5 2 3 4 3 +--R ((- c + 19b c - 4b c)cos(x) + 28c + 29b c + 4b c)sin(x) +--R + +--R 4 3 2 5 3 4 3 2 5 +--R ((- 10b c + 25b c - b )cos(x) + (98b c + 94b c + 5b )cos(x)) +--R * +--R 2 +--R sin(x) +--R + +--R 5 2 3 4 4 5 2 3 4 2 +--R (2c - 11b c + 11b c)cos(x) + (- 7c + 100b c + 98b c)cos(x) +--R + +--R 5 2 3 4 +--R 20c + 31b c + 11b c +--R * +--R sin(x) +--R + +--R 4 3 2 5 5 4 3 2 5 3 +--R (2b c - 2b c + 2b )cos(x) + (- 6b c + 33b c + 36b )cos(x) +--R + +--R 4 3 2 5 +--R (19b c + 29b c + 10b )cos(x) +--R * +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R \|\|c + b + c sin(x) + b cos(x) +--R / +--R 2 2 2 2 2 2 2 +--R (6c sin(x) + 18b c cos(x)sin(x) + (- 3c + 9b )cos(x) + 6c + 3b ) +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 2 2 3 2 2 3 2 +--R 6b c cos(x)sin(x) + ((- 3c + 9b c)cos(x) + 12c + 9b c)sin(x) +--R + +--R 2 3 3 2 3 +--R (- 3b c + 3b )cos(x) + (12b c + 9b )cos(x) +--R * +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R \|\|c + b + c sin(x) + b cos(x) +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R Type: Expression Integer +--E 321 + +--S 322 of 532 +t0761:= ((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^(5/2) +--R +--R +--R (295) +--R +-------+ +--R | 2 2 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + c sin(x) + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 +--R b cos(x) + c + b +--R * +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R \|\|c + b + c sin(x) + b cos(x) +--R Type: Expression Integer +--E 322 + +--S 323 of 532 +r0761:= -64/15*(b^2+c^2)*(c*cos(x)-b*sin(x))/((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^(1/2)-16/15*(b^2+c^2)^(1/2)*(c*cos(x)-b*sin(x))*((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^(1/2)-2/5*(c*cos(x)-b*sin(x))*((b^2+c^2)^(1/2)+b*cos(x)+c*sin(x))^(3/2) +--R +--R +--R (296) +--R +-------+ +--R 2 2 2 2 | 2 2 +--R (28b c sin(x) + (- 28c + 28b )cos(x)sin(x) - 28b c cos(x) )\|c + b +--R + +--R 2 3 3 2 2 +--R 6b c sin(x) + (- 6c + 12b c)cos(x)sin(x) +--R + +--R 2 3 2 2 3 2 3 +--R ((- 12b c + 6b )cos(x) + 86b c + 86b )sin(x) - 6b c cos(x) +--R + +--R 3 2 +--R (- 86c - 86b c)cos(x) +--R / +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R 15\|\|c + b + c sin(x) + b cos(x) +--R Type: Expression Integer +--E 323 + +--S 324 of 532 +a0761:= integrate(t0761,x) +--R +--R +--R (297) +--R +-------+ +--R 2 2 2 | 2 2 +--R ((- 28c + 28b )cos(x)sin(x) - 56b c cos(x) + 28b c)\|c + b +--R + +--R 2 3 2 2 3 3 2 3 +--R ((- 18b c + 6b )cos(x) + 92b c + 86b )sin(x) + (6c - 18b c)cos(x) +--R + +--R 3 2 +--R (- 92c - 74b c)cos(x) +--R / +--R 15 +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R Type: Union(Expression Integer,...) +--E 324 + +--S 325 of 532 +m0761:= a0761-r0761 +--R +--R +--R (298) +--R 2 2 2 2 +--R (- 28b c sin(x) + (28c - 28b )cos(x)sin(x) + 28b c cos(x) ) +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 2 3 3 2 2 +--R - 6b c sin(x) + (6c - 12b c)cos(x)sin(x) +--R + +--R 2 3 2 2 3 2 3 +--R ((12b c - 6b )cos(x) - 86b c - 86b )sin(x) + 6b c cos(x) +--R + +--R 3 2 +--R (86c + 86b c)cos(x) +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R + +--R +-------+ +--R 2 2 2 | 2 2 +--R ((- 28c + 28b )cos(x)sin(x) - 56b c cos(x) + 28b c)\|c + b +--R + +--R 2 3 2 2 3 +--R ((- 18b c + 6b )cos(x) + 92b c + 86b )sin(x) +--R + +--R 3 2 3 3 2 +--R (6c - 18b c)cos(x) + (- 92c - 74b c)cos(x) +--R * +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R \|\|c + b + c sin(x) + b cos(x) +--R / +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R 15\|\|c + b + c sin(x) + b cos(x) +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R Type: Expression Integer +--E 325 + +--S 326 of 532 +d0761:= D(m0761,x) +--R +--R +--R (299) +--R 5 2 3 5 4 3 2 4 +--R (- 12c + 18b c )sin(x) + (- 164b c + 106b c )cos(x)sin(x) +--R + +--R 5 2 3 4 2 5 2 3 4 +--R ((52c - 596b c + 132b c)cos(x) - 296c - 240b c - 4b c) +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 2 5 3 +--R (260b c - 716b c + 44b )cos(x) +--R + +--R 4 3 2 5 +--R (- 1104b c - 928b c - 4b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 5 2 3 4 4 +--R (- 26c + 286b c - 318b c)cos(x) +--R + +--R 5 2 3 4 2 5 2 3 4 +--R (108c - 1108b c - 1036b c)cos(x) - 172c - 258b c - 86b c +--R * +--R sin(x) +--R + +--R 4 3 2 5 5 +--R (- 26b c + 78b c - 46b )cos(x) +--R + +--R 4 3 2 5 3 +--R (108b c - 300b c - 348b )cos(x) +--R + +--R 4 3 2 5 +--R (- 172b c - 258b c - 86b )cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 5 3 3 5 +--R (- 12b c + 18b c )cos(x)sin(x) +--R + +--R 6 2 4 4 2 2 6 2 4 4 2 4 +--R ((6c - 99b c + 45b c )cos(x) - 80c - 4b c + 61b c )sin(x) +--R + +--R 5 3 3 5 3 +--R (60b c - 204b c + 36b c)cos(x) +--R + +--R 5 3 3 5 +--R (- 688b c - 536b c + 92b c)cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 6 2 4 4 2 6 4 +--R (- 9c + 117b c - 165b c + 9b )cos(x) +--R + +--R 6 2 4 4 2 6 2 6 2 4 +--R (184c - 1080b c - 1128b c + 46b )cos(x) - 400c - 716b c +--R + +--R 4 2 6 +--R - 331b c - 15b +--R * +--R 2 +--R sin(x) +--R + +--R 5 3 3 5 5 +--R (- 18b c + 78b c - 54b c)cos(x) +--R + +--R 5 3 3 5 3 +--R (308b c - 596b c - 844b c)cos(x) +--R + +--R 5 3 3 5 +--R (- 740b c - 1282b c - 542b c)cos(x) +--R * +--R sin(x) +--R + +--R 2 4 4 2 6 6 +--R (- 9b c + 15b c - 6b )cos(x) +--R + +--R 6 2 4 4 2 6 4 +--R (15c + 184b c - 34b c - 188b )cos(x) +--R + +--R 6 2 4 4 2 6 2 +--R (- 30c - 445b c - 701b c - 286b )cos(x) +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R + +--R 4 3 2 4 +--R (114b c - 66b c )cos(x)sin(x) +--R + +--R 5 2 3 4 2 5 2 3 4 +--R ((- 50c + 572b c - 122b c)cos(x) + 296c + 226b c + 2b c) +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 2 5 3 +--R (- 296b c + 764b c - 44b )cos(x) +--R + +--R 4 3 2 5 +--R (1156b c + 896b c + 4b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 5 2 3 4 4 +--R (40c - 328b c + 328b c)cos(x) +--R + +--R 5 2 3 4 2 5 2 3 4 +--R (- 134c + 1154b c + 1024b c)cos(x) + 184c + 254b c + 88b c +--R * +--R sin(x) +--R + +--R 4 3 2 5 5 +--R (40b c - 70b c + 46b )cos(x) +--R + +--R 4 3 2 5 3 +--R (- 120b c + 300b c + 348b )cos(x) +--R + +--R 4 3 2 5 +--R (170b c + 250b c + 86b )cos(x) +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 2 4 4 2 2 6 2 4 4 2 4 +--R ((63b c - 21b c )cos(x) + 56c + 46b c - 13b c )sin(x) +--R + +--R 5 3 3 5 3 +--R (- 60b c + 198b c - 30b c)cos(x) +--R + +--R 5 3 3 5 +--R (600b c + 444b c - 90b c)cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 6 2 4 4 2 6 4 +--R (15c - 147b c + 189b c - 9b )cos(x) +--R + +--R 6 2 4 4 2 6 2 6 2 4 +--R (- 174c + 1208b c + 1168b c - 46b )cos(x) + 424c + 674b c +--R + +--R 4 2 6 +--R 283b c + 15b +--R * +--R 2 +--R sin(x) +--R + +--R 5 3 3 5 5 +--R (30b c - 102b c + 60b c)cos(x) +--R + +--R 5 3 3 5 3 +--R (- 420b c + 546b c + 840b c)cos(x) +--R + +--R 5 3 3 5 +--R (840b c + 1356b c + 540b c)cos(x) +--R * +--R sin(x) +--R + +--R 2 4 4 2 6 6 +--R (15b c - 15b c + 6b )cos(x) +--R + +--R 6 2 4 4 2 6 4 +--R (25c - 140b c + 50b c + 188b )cos(x) +--R + +--R 6 2 4 4 2 6 2 +--R (- 10c + 395b c + 685b c + 286b )cos(x) +--R * +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R \|\|c + b + c sin(x) + b cos(x) +--R / +--R 2 2 2 2 2 2 +--R 30c sin(x) + 90b c cos(x)sin(x) + (- 15c + 45b )cos(x) + 30c +--R + +--R 2 +--R 15b +--R * +--R +-------+ +--R | 2 2 +--R \|c + b +--R + +--R 2 2 3 2 2 3 2 +--R 30b c cos(x)sin(x) + ((- 15c + 45b c)cos(x) + 60c + 45b c)sin(x) +--R + +--R 2 3 3 2 3 +--R (- 15b c + 15b )cos(x) + (60b c + 45b )cos(x) +--R * +--R +--------------------------------+ +--R | +-------+ +--R | | 2 2 +--R \|\|c + b + c sin(x) + b cos(x) +--R * +--R ROOT +--R +-------+ +--R | 2 2 +--R (2c sin(x) + 2b cos(x))\|c + b + 2b c cos(x)sin(x) +--R + +--R 2 2 2 2 2 +--R (- c + b )cos(x) + 2c + b +--R , +--R 4 +--R Type: Expression Integer +--E 326 + +--S 327 of 532 +t0762:= 1/(a+b*cos(x)+c*sin(x))^2 +--R +--R +--R (300) +--R 1 +--R --------------------------------------------------------------------- +--R 2 2 2 2 2 +--R c sin(x) + (2b c cos(x) + 2a c)sin(x) + b cos(x) + 2a b cos(x) + a +--R Type: Expression Integer +--E 327 + +--S 328 of 532 +r0762:= 2*a*atan((c+(a-b)*tan(1/2*x))/(a^2-b^2-c^2)^(1/2))/(a^2-b^2-c^2)^(3/2)+(c*cos(x)-b*sin(x))/(a^2-b^2-c^2)/(a+b*cos(x)+c*sin(x)) +--R +--R +--R (301) +--R x +--R (b - a)tan(-) - c +--R 2 2 +--R (2a c sin(x) + 2a b cos(x) + 2a )atan(-----------------) +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R + +--R +--------------+ +--R | 2 2 2 +--R (b sin(x) - c cos(x))\|- c - b + a +--R / +--R 3 2 2 2 3 2 2 2 3 +--R ((c + (b - a )c)sin(x) + (b c + b - a b)cos(x) + a c + a b - a ) +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R Type: Expression Integer +--E 328 + +--S 329 of 532 +a0762:= integrate(t0762,x) +--R +--R +--R (302) +--R [ +--R 2 2 2 2 3 +--R ((a b - a )c sin(x) + (a b - a b)cos(x) + a b - a ) +--R * +--R log +--R 2 2 2 2 +--R ((b - a)c sin(x) + (- c - a b + a )cos(x) - c - b + a b) +--R * +--R +------------+ +--R | 2 2 2 +--R \|c + b - a +--R + +--R 2 3 2 2 3 +--R ((b - a)c + b - a b - a b + a )sin(x) +--R + +--R 3 2 2 3 2 2 +--R (- c + (- b + a )c)cos(x) - c + (- b + a )c +--R / +--R c sin(x) + b cos(x) + a +--R + +--R +------------+ +--R 2 2 | 2 2 2 +--R ((c + b - a b)sin(x) + a c cos(x) + a c)\|c + b - a +--R / +--R 3 3 2 2 3 +--R ((b - a)c + (b - a b - a b + a )c)sin(x) +--R + +--R 2 2 4 3 2 2 3 2 2 3 +--R ((b - a b)c + b - a b - a b + a b)cos(x) + (a b - a )c + a b +--R + +--R 2 2 3 4 +--R - a b - a b + a +--R * +--R +------------+ +--R | 2 2 2 +--R \|c + b - a +--R , +--R +--R 2 2 2 2 3 +--R ((- 2a b + 2a )c sin(x) + (- 2a b + 2a b)cos(x) - 2a b + 2a ) +--R * +--R +--------------+ +--R | 2 2 2 +--R ((b - a)sin(x) - c cos(x) - c)\|- c - b + a +--R atan(-----------------------------------------------) +--R 2 2 2 2 2 2 +--R (c + b - a )cos(x) + c + b - a +--R + +--R +--------------+ +--R 2 2 | 2 2 2 +--R ((c + b - a b)sin(x) + a c cos(x) + a c)\|- c - b + a +--R / +--R 3 3 2 2 3 +--R ((b - a)c + (b - a b - a b + a )c)sin(x) +--R + +--R 2 2 4 3 2 2 3 2 2 3 +--R ((b - a b)c + b - a b - a b + a b)cos(x) + (a b - a )c + a b +--R + +--R 2 2 3 4 +--R - a b - a b + a +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 329 + +--S 330 of 532 +m0762a:= a0762.1-r0762 +--R +--R +--R (303) +--R +--------------+ +--R 2 | 2 2 2 +--R (a b - a )\|- c - b + a +--R * +--R log +--R 2 2 2 2 +--R ((b - a)c sin(x) + (- c - a b + a )cos(x) - c - b + a b) +--R * +--R +------------+ +--R | 2 2 2 +--R \|c + b - a +--R + +--R 2 3 2 2 3 +--R ((b - a)c + b - a b - a b + a )sin(x) +--R + +--R 3 2 2 3 2 2 +--R (- c + (- b + a )c)cos(x) - c + (- b + a )c +--R / +--R c sin(x) + b cos(x) + a +--R + +--R x +--R +------------+ (b - a)tan(-) - c +--R 2 | 2 2 2 2 +--R (- 2a b + 2a )\|c + b - a atan(-----------------) +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R + +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 +--R c\|- c - b + a \|c + b - a +--R / +--R +--------------+ +------------+ +--R 2 3 2 2 3 | 2 2 2 | 2 2 2 +--R ((b - a)c + b - a b - a b + a )\|- c - b + a \|c + b - a +--R Type: Expression Integer +--E 330 + +--S 331 of 532 +d0762a:= D(m0762a,x) +--R +--R +--R (304) +--R 3 2 2 3 2 +--R (a b - 2a b + a b)sin(x) +--R + +--R 3 2 2 3 3 +--R ((a c + (- a b + 2a b - a )c)cos(x) + a c )sin(x) +--R + +--R 2 2 3 2 2 2 +--R ((2a b - a )c + a b - a b )cos(x) +--R + +--R 2 3 3 2 2 2 2 3 +--R (2a b c + a b - a b)cos(x) + a c + a b - a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 2 2 2 2 +--R (- 2a c + (- 2a b + 2a b)c)sin(x) + (2a b - 2a )c sin(x) +--R + +--R 3 2 2 2 +--R (- 2a c + (- 2a b + 2a b)c)cos(x) +--R + +--R 3 2 3 +--R (- 2a c + (- 2a b + 2a )c)cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 3 3 2 +--R (- 2a b c - a b + a b)sin(x) +--R + +--R 3 2 2 3 3 2 2 +--R ((a c + (- a b + 2a b - a )c)cos(x) + a c + (2a b - 2a b)c)sin(x) +--R + +--R 2 2 3 2 2 2 3 2 2 3 2 2 +--R (- a c - a b + a b )cos(x) + (a b - 2a b + a b)cos(x) + a c +--R + +--R 2 2 3 +--R a b - a b +--R * +--R +------------+ +--R | 2 2 2 +--R \|c + b - a +--R + +--R 4 2 3 2 4 2 3 3 2 4 4 +--R (a c + (a b - a )c - a b + a b + a b - a b)cos(x) + a c +--R + +--R 2 3 2 4 2 3 3 2 4 +--R (a b - a )c - a b + a b + a b - a b +--R * +--R sin(x) +--R + +--R 2 3 3 2 2 3 4 2 +--R ((2a b - a )c + (2a b - a b - 2a b + a )c)cos(x) +--R + +--R 3 3 3 2 3 2 2 4 +--R (2a b c + (2a b - 2a b)c)cos(x) + a c + (a b - a )c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 2 3 2 2 +--R (- 2a c + (- 2a b + 2a )c )sin(x) +--R + +--R 2 3 3 2 2 3 4 +--R ((2a b - 2a )c + (2a b - 2a b - 2a b + 2a )c)sin(x) +--R + +--R 4 2 3 2 2 +--R (- 2a c + (- 2a b + 2a )c )cos(x) +--R + +--R 4 2 3 2 +--R (- 2a c + (- 2a b + 2a )c )cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 3 3 2 +--R (- 2a b c + (- 2a b + 2a b)c)sin(x) +--R + +--R 4 2 3 2 4 2 3 3 2 4 4 +--R (a c + (a b - a )c - a b + a b + a b - a b)cos(x) + a c +--R + +--R 2 2 3 2 4 2 3 3 2 4 +--R (2a b - a b - a )c + a b - a b - a b + a b +--R * +--R sin(x) +--R + +--R 2 3 2 2 4 2 2 3 2 2 4 +--R (- a c + (- a b + a )c)cos(x) + a c + (a b - a )c +--R / +--R 2 2 4 4 3 3 4 2 2 +--R ((b - 2a b + a )c + (b - 2a b + 2a b - a )c )sin(x) +--R + +--R 5 2 2 3 3 +--R (- b + a)c + (- 2a b + 4a b - 2a )c +--R + +--R 5 4 2 3 3 2 4 5 +--R (b - 3a b + 2a b + 2a b - 3a b + a )c +--R * +--R cos(x) +--R + +--R 5 3 2 2 3 +--R (- b + a)c + (- 2b + 4a b - 2a b)c +--R + +--R 5 4 2 3 3 2 4 5 +--R (- b + 3a b - 2a b - 2a b + 3a b - a )c +--R * +--R sin(x) +--R + +--R 2 4 4 2 2 3 2 5 2 4 +--R (- b + a b)c + (- b + 3a b - 2a b)c - a b + 2a b +--R + +--R 4 2 5 +--R - 2a b + a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 4 3 3 4 2 6 5 +--R (- b + a )c + (- 2b + 2a b + 2a b - 2a )c - b + 2a b +--R + +--R 2 4 4 2 5 6 +--R - a b + a b - 2a b + a +--R * +--R cos(x) +--R + +--R 2 4 3 2 2 4 2 5 2 4 4 2 +--R (- a b + a )c + (- 2a b + 3a b - a )c - a b + 2a b - 2a b +--R + +--R 5 +--R a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 5 3 2 2 3 3 2 +--R ((- 2b + 2a)c + (- 2b + 2a b + 2a b - 2a )c )sin(x) +--R + +--R 6 2 4 4 3 3 4 2 +--R (2c + (4a b - 4a )c + (- 2b + 4a b - 4a b + 2a )c )cos(x) +--R + +--R 6 2 4 4 3 3 4 2 +--R 2c + (4b - 4a b)c + (2b - 4a b + 4a b - 2a )c +--R * +--R sin(x) +--R + +--R 5 3 2 2 3 +--R 2b c + (2b + 2a b - 4a b)c +--R + +--R 4 2 3 3 2 4 +--R (2a b - 2a b - 2a b + 2a b)c +--R * +--R 2 +--R cos(x) +--R + +--R 5 3 3 3 5 4 4 5 +--R ((2b + 2a)c + (4b - 4a )c + (2b - 2a b - 2a b + 2a )c)cos(x) +--R + +--R 5 2 2 3 3 4 2 3 3 2 4 +--R 2a c + (4a b - 2a b - 2a )c + (2a b - 2a b - 2a b + 2a b)c +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 2 4 4 2 2 4 2 2 +--R ((- b + a )c + (- b + 2a b - a )c )sin(x) +--R + +--R 5 2 3 3 +--R (b + a)c + (2a b - 2a )c +--R + +--R 5 4 2 3 3 2 4 5 +--R (- b + a b + 2a b - 2a b - a b + a )c +--R * +--R cos(x) +--R + +--R 5 3 2 3 +--R (b + a)c + (2b - 2a b)c +--R + +--R 5 4 2 3 3 2 4 5 +--R (b - a b - 2a b + 2a b + a b - a )c +--R * +--R sin(x) +--R + +--R 2 4 4 3 2 2 3 2 5 3 3 5 +--R ((b + a b)c + (b + 2a b - a b - 2a b)c + a b - 2a b + a b) +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 4 3 3 4 2 6 2 4 +--R (b + 2a b + a )c + (2b + 2a b - 2a b - 2a )c + b - a b +--R + +--R 4 2 6 +--R - a b + a +--R * +--R cos(x) +--R + +--R 2 4 3 2 2 3 4 2 5 3 3 5 +--R (a b + a )c + (2a b + a b - 2a b - a )c + a b - 2a b + a b +--R * +--R +------------+ +--R | 2 2 2 +--R \|c + b - a +--R + +--R 2 2 5 4 3 3 4 3 +--R (b - 2a b + a )c + (2b - 4a b + 4a b - 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (b - 2a b - a b + 4a b - a b - 2a b + a )c +--R * +--R 2 +--R sin(x) +--R + +--R 6 3 2 3 4 +--R (- b + a)c + (- b + 3a b - 2a )c +--R + +--R 5 4 2 3 3 2 4 5 2 7 6 +--R (b - 3a b + 2a b + 2a b - 3a b + a )c + b - 2a b +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - a b + 4a b - a b - 2a b + a b +--R * +--R cos(x) +--R + +--R 6 3 2 3 4 +--R (- b + a)c + (- 2b + 3a b - a )c +--R + +--R 5 4 2 3 3 2 4 5 2 6 2 5 +--R (- b + 3a b - 2a b - 2a b + 3a b - a )c + a b - 2a b +--R + +--R 3 4 4 3 5 2 6 7 +--R - a b + 4a b - a b - 2a b + a +--R * +--R sin(x) +--R + +--R 2 5 4 3 2 2 3 3 +--R (- b + a b)c + (- 2b + 2a b + 2a b - 2a b)c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- b + a b + 2a b - 2a b - a b + a b)c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 5 4 2 2 4 3 +--R (- b + a )c + (- 2b + 4a b - 2a )c +--R + +--R 6 2 4 4 2 6 +--R (- b + 3a b - 3a b + a )c +--R * +--R cos(x) +--R + +--R 2 5 3 2 2 3 4 3 +--R (- a b + a )c + (- 2a b + 2a b + 2a b - 2a )c +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- a b + a b + 2a b - 2a b - a b + a )c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 6 3 2 2 3 4 +--R (- 2b + 2a)c + (- 4b + 4a b + 4a b - 4a )c +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (- 2b + 2a b + 4a b - 4a b - 2a b + 2a )c +--R * +--R 2 +--R sin(x) +--R + +--R 7 2 2 5 4 3 3 4 3 +--R 2c + (2b + 2a b - 4a )c + (- 2b + 4a b - 4a b + 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 2b + 2a b + 4a b - 4a b - 2a b + 2a b)c +--R * +--R cos(x) +--R + +--R 7 2 2 5 4 3 3 4 3 +--R 2c + (4b - 2a b - 2a )c + (2b - 4a b + 4a b - 2a )c +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 2a b + 2a b + 4a b - 4a b - 2a b + 2a )c +--R * +--R sin(x) +--R + +--R 6 3 2 4 5 2 3 4 2 2 +--R (2b c + (4b - 4a b)c + (2b - 4a b + 2a b)c )cos(x) +--R + +--R 6 3 2 2 3 4 +--R (2b + 2a)c + (4b + 4a b - 4a b - 4a )c +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (2b + 2a b - 4a b - 4a b + 2a b + 2a )c +--R * +--R cos(x) +--R + +--R 6 2 3 4 4 3 2 5 2 +--R 2a c + (4a b - 4a )c + (2a b - 4a b + 2a )c +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 2 5 4 2 2 4 3 +--R (- b + a )c + (- 2b + 4a b - 2a )c +--R + +--R 6 2 4 4 2 6 +--R (- b + 3a b - 3a b + a )c +--R * +--R 2 +--R sin(x) +--R + +--R 6 3 2 2 3 4 +--R (b + a)c + (b + 2a b - a b - 2a )c +--R + +--R 5 4 2 3 3 2 4 5 2 7 2 5 4 3 +--R (- b + a b + 2a b - 2a b - a b + a )c - b + 3a b - 3a b +--R + +--R 6 +--R a b +--R * +--R cos(x) +--R + +--R 6 3 2 2 3 4 +--R (b + a)c + (2b + a b - 2a b - a )c +--R + +--R 5 4 2 3 3 2 4 5 2 6 3 4 5 2 7 +--R (b - a b - 2a b + 2a b + a b - a )c - a b + 3a b - 3a b + a +--R * +--R sin(x) +--R + +--R 2 5 4 3 2 2 3 3 +--R (b + a b)c + (2b + 2a b - 2a b - 2a b)c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (b + a b - 2a b - 2a b + a b + a b)c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 5 4 3 3 4 3 +--R (b + 2a b + a )c + (2b + 4a b - 4a b - 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (b + 2a b - a b - 4a b - a b + 2a b + a )c +--R * +--R cos(x) +--R + +--R 2 5 3 2 2 3 4 3 +--R (a b + a )c + (2a b + 2a b - 2a b - 2a )c +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (a b + a b - 2a b - 2a b + a b + a )c +--R Type: Expression Integer +--E 331 + +--S 332 of 532 +m0762b:= a0762.2-r0762 +--R +--R +--R (305) +--R +--------------+ +--R | 2 2 2 +--R 2 ((b - a)sin(x) - c cos(x) - c)\|- c - b + a +--R (- 2a b + 2a )atan(-----------------------------------------------) +--R 2 2 2 2 2 2 +--R (c + b - a )cos(x) + c + b - a +--R + +--R x +--R (b - a)tan(-) - c +--------------+ +--R 2 2 | 2 2 2 +--R (- 2a b + 2a )atan(-----------------) + c\|- c - b + a +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R / +--R +--------------+ +--R 2 3 2 2 3 | 2 2 2 +--R ((b - a)c + b - a b - a b + a )\|- c - b + a +--R Type: Expression Integer +--E 332 + +--S 333 of 532 +d0762b:= D(m0762b,x) +--R +--R +--R (306) +--R 2 2 2 2 +--R (a b - a )sin(x) + (2a c cos(x) + 2a c)sin(x) + (3a b - a )cos(x) +--R + +--R 2 +--R 4a b cos(x) + a b + a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 x +--R (- 4a c sin(x) - 4a c cos(x) - 4a c cos(x))tan(-) +--R 2 +--R + +--R 2 2 2 2 +--R (- 3a b - a )sin(x) + (2a c cos(x) + 2a c)sin(x) + (- a b - a )cos(x) +--R + +--R 2 +--R a b + a +--R / +--R 2 2 2 4 3 3 4 2 +--R ((b - 2a b + a )c + b - 2a b + 2a b - a )sin(x) +--R + +--R 3 3 2 2 3 +--R ((- 2b + 2a)c + (- 2b + 2a b + 2a b - 2a )c)cos(x) +--R + +--R 3 3 2 2 3 +--R (- 2b + 2a)c + (- 2b + 2a b + 2a b - 2a )c +--R * +--R sin(x) +--R + +--R 2 2 2 4 2 2 4 2 +--R ((- b + a )c - b + 2a b - a )cos(x) +--R + +--R 2 2 2 4 2 2 4 2 2 2 4 +--R ((- 2b + 2a )c - 2b + 4a b - 2a )cos(x) + (- b + a )c - b +--R + +--R 2 2 4 +--R 2a b - a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 3 2 2 3 2 +--R ((- 2b + 2a)c + (- 2b + 2a b + 2a b - 2a )c)sin(x) +--R + +--R 4 2 2 2 4 2 2 2 +--R ((4c + (4b - 4a )c )cos(x) + 4c + (4b - 4a )c )sin(x) +--R + +--R 3 3 2 2 3 2 +--R ((2b + 2a)c + (2b + 2a b - 2a b - 2a )c)cos(x) +--R + +--R 3 3 2 2 3 3 +--R ((4b + 4a)c + (4b + 4a b - 4a b - 4a )c)cos(x) + (2b + 2a)c +--R + +--R 3 2 2 3 +--R (2b + 2a b - 2a b - 2a )c +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 2 2 4 2 2 4 2 +--R ((- b + a )c - b + 2a b - a )sin(x) +--R + +--R 3 3 2 2 3 3 +--R ((2b + 2a)c + (2b + 2a b - 2a b - 2a )c)cos(x) + (2b + 2a)c +--R + +--R 3 2 2 3 +--R (2b + 2a b - 2a b - 2a )c +--R * +--R sin(x) +--R + +--R 2 2 2 4 3 3 4 2 +--R ((b + 2a b + a )c + b + 2a b - 2a b - a )cos(x) +--R + +--R 2 2 2 4 3 3 4 +--R ((2b + 4a b + 2a )c + 2b + 4a b - 4a b - 2a )cos(x) +--R + +--R 2 2 2 4 3 3 4 +--R (b + 2a b + a )c + b + 2a b - 2a b - a +--R Type: Expression Integer +--E 333 + +--S 334 of 532 +t0763:= 1/(a+b*cos(x)+c*sin(x))^3 +--R +--R +--R (307) +--R 1 +--R / +--R 3 3 2 2 2 +--R c sin(x) + (3b c cos(x) + 3a c )sin(x) +--R + +--R 2 2 2 3 3 2 2 +--R (3b c cos(x) + 6a b c cos(x) + 3a c)sin(x) + b cos(x) + 3a b cos(x) +--R + +--R 2 3 +--R 3a b cos(x) + a +--R Type: Expression Integer +--E 334 + +--S 335 of 532 +r0763:= (2*a^2+b^2+c^2)*atan((c+(a-b)*tan(1/2*x))/(a^2-b^2-c^2)^(1/2))/(a^2-b^2-c^2)^(5/2)+1/2*(c*cos(x)-b*sin(x))/(a^2-b^2-c^2)/(a+b*cos(x)+c*sin(x))^2+3/2*a*(c*cos(x)-b*sin(x))/(a^2-b^2-c^2)^2/(a+b*cos(x)+c*sin(x)) +--R +--R +--R (308) +--R 4 2 2 2 2 +--R (- 2c + (- 2b - 4a )c )sin(x) +--R + +--R 3 3 2 3 2 3 +--R ((- 4b c + (- 4b - 8a b)c)cos(x) - 4a c + (- 4a b - 8a )c)sin(x) +--R + +--R 2 2 4 2 2 2 2 3 3 +--R (- 2b c - 2b - 4a b )cos(x) + (- 4a b c - 4a b - 8a b)cos(x) +--R + +--R 2 2 2 2 4 +--R - 2a c - 2a b - 4a +--R * +--R x +--R (b - a)tan(-) - c +--R 2 +--R atan(-----------------) +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R + +--R 2 2 2 2 3 2 +--R - 3a b c sin(x) + ((3a c - 3a b )cos(x) + b c + b - 4a b)sin(x) +--R + +--R 2 3 2 2 +--R 3a b c cos(x) + (- c + (- b + 4a )c)cos(x) +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R / +--R 6 2 2 4 4 2 2 4 2 2 +--R (2c + (4b - 4a )c + (2b - 4a b + 2a )c )sin(x) +--R + +--R 5 3 2 3 5 2 3 4 5 +--R (4b c + (8b - 8a b)c + (4b - 8a b + 4a b)c)cos(x) + 4a c +--R + +--R 2 3 3 4 3 2 5 +--R (8a b - 8a )c + (4a b - 8a b + 4a )c +--R * +--R sin(x) +--R + +--R 2 4 4 2 2 2 6 2 4 4 2 2 +--R (2b c + (4b - 4a b )c + 2b - 4a b + 2a b )cos(x) +--R + +--R 4 3 3 2 5 3 3 5 2 4 +--R (4a b c + (8a b - 8a b)c + 4a b - 8a b + 4a b)cos(x) + 2a c +--R + +--R 2 2 4 2 2 4 4 2 6 +--R (4a b - 4a )c + 2a b - 4a b + 2a +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R Type: Expression Integer +--E 335 + +--S 336 of 532 +a0763:= integrate(t0763,x) +--R +--R +--R (309) +--R [ +--R 3 2 2 3 +--R (2b - 4a b + 2a b)c +--R + +--R 5 4 2 3 3 2 4 +--R (2b - 4a b + 6a b - 8a b + 4a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 3 4 2 3 3 2 4 5 +--R (2a b - 4a b + 2a )c + (2a b - 4a b + 6a b - 8a b + 4a )c +--R * +--R sin(x) +--R + +--R 2 2 4 2 2 3 4 2 6 5 +--R (- b + 2a b - a )c + (- 2a b + 4a b - 2a )c + b - 2a b +--R + +--R 2 4 3 3 4 2 +--R 3a b - 4a b + 2a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 2 5 2 4 3 3 4 2 5 +--R ((2a b - 4a b + 2a b)c + 2a b - 4a b + 6a b - 8a b + 4a b) +--R * +--R cos(x) +--R + +--R 2 2 4 4 3 2 2 3 4 2 2 4 +--R (b - 2a b + a )c + (b - 2a b + 4a b - 6a b + 3a )c + a b +--R + +--R 3 3 4 2 5 6 +--R - 2a b + 3a b - 4a b + 2a +--R * +--R log +--R 2 2 2 2 +--R ((b - a)c sin(x) + (- c - a b + a )cos(x) - c - b + a b) +--R * +--R +------------+ +--R | 2 2 2 +--R \|c + b - a +--R + +--R 2 3 2 2 3 +--R ((- b + a)c - b + a b + a b - a )sin(x) +--R + +--R 3 2 2 3 2 2 +--R (c + (b - a )c)cos(x) + c + (b - a )c +--R / +--R c sin(x) + b cos(x) + a +--R + +--R 4 3 2 2 3 2 4 2 3 +--R - 2b c + (- 2b - 3a b + 2a b + 3a )c - 3a b + 6a b +--R + +--R 3 2 +--R - 3a b +--R * +--R cos(x) +--R + +--R 4 3 2 2 3 2 5 4 2 3 +--R - 2a c + (b - 4a b - 5a b + 8a )c + b - 2a b - 3a b +--R + +--R 3 2 4 +--R 8a b - 4a b +--R * +--R sin(x) +--R + +--R 5 2 3 4 3 2 2 3 2 +--R (c + (3a b - 4a )c + (- b + 3a b - 8a b + 6a b)c)cos(x) +--R + +--R 2 2 3 4 2 2 4 5 +--R ((- b - a )c + (- b - 3a b + 4a )c)cos(x) - c +--R + +--R 2 2 3 3 2 2 3 4 +--R (- b - 3a b + 3a )c + (- 3a b + 5a b - 6a b + 4a )c +--R * +--R +------------+ +--R | 2 2 2 +--R \|c + b - a +--R / +--R 3 2 2 5 5 4 3 2 4 3 +--R (4b - 8a b + 4a b)c + (8b - 16a b + 16a b - 8a b)c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R (4b - 8a b - 4a b + 16a b - 4a b - 8a b + 4a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 5 4 2 3 4 5 3 +--R (4a b - 8a b + 4a )c + (8a b - 16a b + 16a b - 8a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R (4a b - 8a b - 4a b + 16a b - 4a b - 8a b + 4a )c +--R * +--R sin(x) +--R + +--R 2 2 6 4 3 2 2 3 4 4 +--R (- 2b + 4a b - 2a )c + (- 2b + 4a b + 2a b - 8a b + 4a )c +--R + +--R 6 5 2 4 4 2 5 6 2 8 7 +--R (2b - 4a b + 2a b - 2a b + 4a b - 2a )c + 2b - 4a b +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 2a b + 8a b - 2a b - 4a b + 2a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 4 5 2 4 4 2 5 2 +--R (4a b - 8a b + 4a b)c + (8a b - 16a b + 16a b - 8a b)c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R 4a b - 8a b - 4a b + 16a b - 4a b - 8a b + 4a b +--R * +--R cos(x) +--R + +--R 2 2 6 4 3 2 2 3 4 4 +--R (2b - 4a b + 2a )c + (4b - 8a b + 2a b + 4a b - 2a )c +--R + +--R 6 5 2 4 4 2 5 6 2 2 6 3 5 4 4 +--R (2b - 4a b + 2a b - 2a b + 4a b - 2a )c + 2a b - 4a b - 2a b +--R + +--R 5 3 6 2 7 8 +--R 8a b - 2a b - 4a b + 2a +--R * +--R +------------+ +--R | 2 2 2 +--R \|c + b - a +--R , +--R +--R 3 2 2 3 +--R (4b - 8a b + 4a b)c +--R + +--R 5 4 2 3 3 2 4 +--R (4b - 8a b + 12a b - 16a b + 8a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 3 4 2 3 3 2 4 5 +--R (4a b - 8a b + 4a )c + (4a b - 8a b + 12a b - 16a b + 8a )c +--R * +--R sin(x) +--R + +--R 2 2 4 2 2 3 4 2 6 5 +--R (- 2b + 4a b - 2a )c + (- 4a b + 8a b - 4a )c + 2b - 4a b +--R + +--R 2 4 3 3 4 2 +--R 6a b - 8a b + 4a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 2 5 2 4 3 3 4 2 +--R (4a b - 8a b + 4a b)c + 4a b - 8a b + 12a b - 16a b +--R + +--R 5 +--R 8a b +--R * +--R cos(x) +--R + +--R 2 2 4 4 3 2 2 3 4 2 +--R (2b - 4a b + 2a )c + (2b - 4a b + 8a b - 12a b + 6a )c +--R + +--R 2 4 3 3 4 2 5 6 +--R 2a b - 4a b + 6a b - 8a b + 4a +--R * +--R +--------------+ +--R | 2 2 2 +--R ((b - a)sin(x) - c cos(x) - c)\|- c - b + a +--R atan(-----------------------------------------------) +--R 2 2 2 2 2 2 +--R (c + b - a )cos(x) + c + b - a +--R + +--R 4 3 2 2 3 2 4 2 3 +--R - 2b c + (- 2b - 3a b + 2a b + 3a )c - 3a b + 6a b +--R + +--R 3 2 +--R - 3a b +--R * +--R cos(x) +--R + +--R 4 3 2 2 3 2 5 4 2 3 +--R - 2a c + (b - 4a b - 5a b + 8a )c + b - 2a b - 3a b +--R + +--R 3 2 4 +--R 8a b - 4a b +--R * +--R sin(x) +--R + +--R 5 2 3 4 3 2 2 3 2 +--R (c + (3a b - 4a )c + (- b + 3a b - 8a b + 6a b)c)cos(x) +--R + +--R 2 2 3 4 2 2 4 5 +--R ((- b - a )c + (- b - 3a b + 4a )c)cos(x) - c +--R + +--R 2 2 3 3 2 2 3 4 +--R (- b - 3a b + 3a )c + (- 3a b + 5a b - 6a b + 4a )c +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R / +--R 3 2 2 5 5 4 3 2 4 3 +--R (4b - 8a b + 4a b)c + (8b - 16a b + 16a b - 8a b)c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R (4b - 8a b - 4a b + 16a b - 4a b - 8a b + 4a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 5 4 2 3 4 5 3 +--R (4a b - 8a b + 4a )c + (8a b - 16a b + 16a b - 8a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R (4a b - 8a b - 4a b + 16a b - 4a b - 8a b + 4a )c +--R * +--R sin(x) +--R + +--R 2 2 6 4 3 2 2 3 4 4 +--R (- 2b + 4a b - 2a )c + (- 2b + 4a b + 2a b - 8a b + 4a )c +--R + +--R 6 5 2 4 4 2 5 6 2 8 7 +--R (2b - 4a b + 2a b - 2a b + 4a b - 2a )c + 2b - 4a b +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 2a b + 8a b - 2a b - 4a b + 2a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 4 5 2 4 4 2 5 2 +--R (4a b - 8a b + 4a b)c + (8a b - 16a b + 16a b - 8a b)c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R 4a b - 8a b - 4a b + 16a b - 4a b - 8a b + 4a b +--R * +--R cos(x) +--R + +--R 2 2 6 4 3 2 2 3 4 4 +--R (2b - 4a b + 2a )c + (4b - 8a b + 2a b + 4a b - 2a )c +--R + +--R 6 5 2 4 4 2 5 6 2 2 6 3 5 4 4 +--R (2b - 4a b + 2a b - 2a b + 4a b - 2a )c + 2a b - 4a b - 2a b +--R + +--R 5 3 6 2 7 8 +--R 8a b - 2a b - 4a b + 2a +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 336 + +--S 337 of 532 +m0763a:= a0763.1-r0763 +--R +--R +--R (310) +--R 3 2 2 5 +--R (2b - 4a b + 2a b)c +--R + +--R 5 4 2 3 3 2 4 3 +--R (2b - 4a b + 6a b - 8a b + 4a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 5 4 2 3 3 2 4 5 3 +--R (2a b - 4a b + 2a )c + (2a b - 4a b + 6a b - 8a b + 4a )c +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 6 4 3 2 2 3 4 4 +--R (- b + 2a b - a )c + (4b - 8a b + 2a b + 4a b - 2a )c +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (5b - 10a b + 15a b - 20a b + 10a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 4 +--R (10a b - 20a b + 10a b)c +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (10a b - 20a b + 30a b - 40a b + 20a b)c +--R * +--R cos(x) +--R + +--R 2 2 6 4 3 2 2 3 4 4 +--R (b - 2a b + a )c + (b - 2a b + 8a b - 14a b + 7a )c +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (5a b - 10a b + 15a b - 20a b + 10a )c +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 5 +--R (- 2b + 4a b - 2a b)c +--R + +--R 5 4 2 3 3 2 4 3 +--R (2b - 4a b - 2a b + 8a b - 4a b)c +--R + +--R 7 6 2 5 3 4 4 3 +--R (4b - 8a b + 12a b - 16a b + 8a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 3 5 +--R (- 2a b + 4a b - 2a )c +--R + +--R 4 2 3 3 2 4 5 3 +--R (10a b - 20a b + 6a b + 8a b - 4a )c +--R + +--R 6 2 5 3 4 4 3 5 2 +--R (12a b - 24a b + 36a b - 48a b + 24a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 5 +--R (2b - 4a b + 2a b)c +--R + +--R 5 4 2 3 3 2 4 3 +--R (2b - 4a b + 18a b - 32a b + 16a b)c +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (12a b - 24a b + 36a b - 48a b + 24a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 5 4 2 3 3 2 4 5 3 +--R (2a b - 4a b + 2a )c + (2a b - 4a b + 10a b - 16a b + 8a )c +--R + +--R 3 4 4 3 5 2 6 7 +--R (4a b - 8a b + 12a b - 16a b + 8a )c +--R * +--R sin(x) +--R + +--R 4 3 2 2 4 2 4 3 3 4 2 2 8 +--R (- b + 2a b - a b )c + (- 2a b + 4a b - 2a b )c + b +--R + +--R 7 2 6 3 5 4 4 +--R - 2a b + 3a b - 4a b + 2a b +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 2 3 4 +--R (- 2a b + 4a b - 2a b)c +--R + +--R 5 2 4 3 3 4 2 5 2 7 2 6 3 5 +--R (2a b - 4a b - 2a b + 8a b - 4a b)c + 4a b - 8a b + 12a b +--R + +--R 4 4 5 3 +--R - 16a b + 8a b +--R * +--R 3 +--R cos(x) +--R + +--R 4 3 3 4 4 +--R (b - 2a b + 2a b - a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 2 2 6 +--R (b - 2a b + 8a b - 14a b + 5a b + 4a b - 2a )c + 6a b +--R + +--R 3 5 4 4 5 3 6 2 +--R - 12a b + 18a b - 24a b + 12a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 4 +--R (2a b - 4a b + 2a b)c +--R + +--R 5 2 4 3 3 4 2 5 2 3 5 4 4 +--R (2a b - 4a b + 10a b - 16a b + 8a b)c + 4a b - 8a b +--R + +--R 5 3 6 2 7 +--R 12a b - 16a b + 8a b +--R * +--R cos(x) +--R + +--R 2 2 3 4 4 2 4 3 3 4 2 5 6 2 4 4 +--R (a b - 2a b + a )c + (a b - 2a b + 4a b - 6a b + 3a )c + a b +--R + +--R 5 3 6 2 7 8 +--R - 2a b + 3a b - 4a b + 2a +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R * +--R log +--R 2 2 2 2 +--R ((b - a)c sin(x) + (- c - a b + a )cos(x) - c - b + a b) +--R * +--R +------------+ +--R | 2 2 2 +--R \|c + b - a +--R + +--R 2 3 2 2 3 +--R ((- b + a)c - b + a b + a b - a )sin(x) +--R + +--R 3 2 2 3 2 2 +--R (c + (b - a )c)cos(x) + c + (b - a )c +--R / +--R c sin(x) + b cos(x) + a +--R + +--R 3 2 2 5 +--R (4b - 8a b + 4a b)c +--R + +--R 5 4 2 3 3 2 4 3 +--R (4b - 8a b + 12a b - 16a b + 8a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 5 4 2 3 3 2 4 5 3 +--R (4a b - 8a b + 4a )c + (4a b - 8a b + 12a b - 16a b + 8a )c +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 6 +--R (- 2b + 4a b - 2a )c +--R + +--R 4 3 2 2 3 4 4 +--R (8b - 16a b + 4a b + 8a b - 4a )c +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (10b - 20a b + 30a b - 40a b + 20a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 4 +--R (20a b - 40a b + 20a b)c +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (20a b - 40a b + 60a b - 80a b + 40a b)c +--R * +--R cos(x) +--R + +--R 2 2 6 4 3 2 2 3 4 4 +--R (2b - 4a b + 2a )c + (2b - 4a b + 16a b - 28a b + 14a )c +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (10a b - 20a b + 30a b - 40a b + 20a )c +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 5 +--R (- 4b + 8a b - 4a b)c +--R + +--R 5 4 2 3 3 2 4 3 +--R (4b - 8a b - 4a b + 16a b - 8a b)c +--R + +--R 7 6 2 5 3 4 4 3 +--R (8b - 16a b + 24a b - 32a b + 16a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 3 5 +--R (- 4a b + 8a b - 4a )c +--R + +--R 4 2 3 3 2 4 5 3 +--R (20a b - 40a b + 12a b + 16a b - 8a )c +--R + +--R 6 2 5 3 4 4 3 5 2 +--R (24a b - 48a b + 72a b - 96a b + 48a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 5 +--R (4b - 8a b + 4a b)c +--R + +--R 5 4 2 3 3 2 4 3 +--R (4b - 8a b + 36a b - 64a b + 32a b)c +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (24a b - 48a b + 72a b - 96a b + 48a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 5 +--R (4a b - 8a b + 4a )c +--R + +--R 4 2 3 3 2 4 5 3 +--R (4a b - 8a b + 20a b - 32a b + 16a )c +--R + +--R 3 4 4 3 5 2 6 7 +--R (8a b - 16a b + 24a b - 32a b + 16a )c +--R * +--R sin(x) +--R + +--R 4 3 2 2 4 2 4 3 3 4 2 2 8 +--R (- 2b + 4a b - 2a b )c + (- 4a b + 8a b - 4a b )c + 2b +--R + +--R 7 2 6 3 5 4 4 +--R - 4a b + 6a b - 8a b + 4a b +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 2 3 4 +--R (- 4a b + 8a b - 4a b)c +--R + +--R 5 2 4 3 3 4 2 5 2 7 2 6 +--R (4a b - 8a b - 4a b + 16a b - 8a b)c + 8a b - 16a b +--R + +--R 3 5 4 4 5 3 +--R 24a b - 32a b + 16a b +--R * +--R 3 +--R cos(x) +--R + +--R 4 3 3 4 4 +--R (2b - 4a b + 4a b - 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 2 2 6 +--R (2b - 4a b + 16a b - 28a b + 10a b + 8a b - 4a )c + 12a b +--R + +--R 3 5 4 4 5 3 6 2 +--R - 24a b + 36a b - 48a b + 24a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 4 +--R (4a b - 8a b + 4a b)c +--R + +--R 5 2 4 3 3 4 2 5 2 3 5 4 4 +--R (4a b - 8a b + 20a b - 32a b + 16a b)c + 8a b - 16a b +--R + +--R 5 3 6 2 7 +--R 24a b - 32a b + 16a b +--R * +--R cos(x) +--R + +--R 2 2 3 4 4 2 4 3 3 4 2 5 6 2 +--R (2a b - 4a b + 2a )c + (2a b - 4a b + 8a b - 12a b + 6a )c +--R + +--R 4 4 5 3 6 2 7 8 +--R 2a b - 4a b + 6a b - 8a b + 4a +--R * +--R x +--R +------------+ (b - a)tan(-) - c +--R | 2 2 2 2 +--R \|c + b - a atan(-----------------) +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R + +--R 6 3 2 2 3 4 +--R - 2b c + (- 2b - 3a b + 2a b + 3a )c +--R + +--R 4 2 3 3 2 2 +--R (3a b - 6a b + 3a b )c +--R * +--R cos(x) +--R + +--R 6 3 2 2 3 4 +--R - 2a c + (b - 4a b - 5a b + 8a )c +--R + +--R 5 4 2 3 3 2 4 2 +--R (b - 2a b + 3a b - 4a b + 2a b)c +--R * +--R 3 +--R sin(x) +--R + +--R 7 2 2 5 +--R c + (- 4b + 3a b - 4a )c +--R + +--R 4 3 2 2 3 3 5 2 4 3 3 +--R (- 5b - 12a b + 14a b + 3a b)c + (3a b - 6a b + 3a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 5 +--R (- b - 8a b - a )c +--R + +--R 4 3 2 2 3 4 3 +--R (- b - 8a b - 27a b + 32a b + 4a )c +--R + +--R 2 4 3 3 4 2 +--R (6a b - 12a b + 6a b )c +--R * +--R cos(x) +--R + +--R 7 2 2 5 2 2 3 4 3 +--R - c + (- b - 3a b - a )c + (- 5a b - 15a b + 20a )c +--R + +--R 3 3 4 2 5 +--R (3a b - 6a b + 3a b)c +--R * +--R 2 +--R sin(x) +--R + +--R 6 3 2 2 3 4 +--R 2b c + (- 2b + 9a b - 14a b + 3a )c +--R + +--R 5 4 2 3 3 2 2 +--R (- 4b - 9a b + 10a b + 3a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 6 3 2 2 3 4 +--R 2a c + (b - 12a b + 7a b - 8a )c +--R + +--R 5 4 2 3 3 2 4 2 +--R (b - 14a b - 33a b + 44a b + 2a b)c +--R * +--R 2 +--R cos(x) +--R + +--R 6 3 2 2 3 4 +--R - 2b c + (- 2b - 9a b + 2a b - 3a )c +--R + +--R 4 2 3 3 2 4 2 +--R (- 3a b - 6a b - 39a b + 48a b)c +--R * +--R cos(x) +--R + +--R 6 3 2 3 4 +--R - 2a c + (- b - 7a b + 4a )c +--R + +--R 5 4 2 3 4 5 2 +--R (- b + 2a b - 3a b - 14a b + 16a )c +--R * +--R sin(x) +--R + +--R 2 5 3 2 2 3 3 6 2 4 3 3 4 +--R (b c + (6a b - 10a b + 3a b)c + (- b - 2a b + 3a b )c)cos(x) +--R + +--R 2 2 5 4 2 2 3 4 3 +--R (- b + 4a b - a )c + (- b + 9a b - 16a b + 4a )c +--R + +--R 5 2 4 3 3 4 2 +--R (- 4a b - 6a b + 4a b + 6a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 5 4 3 2 2 4 3 +--R (- b + a )c + (- b - 6a b + 5a b - 4a )c +--R + +--R 5 3 3 4 2 5 +--R (- 3a b - 18a b + 18a b + 3a b)c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 5 4 3 2 2 3 4 3 +--R (b - 4a b + a )c + (b - 4a b - 9a b + 12a b - 4a )c +--R + +--R 2 4 3 3 4 2 5 +--R (- 6a b + 8a b - 18a b + 16a b)c +--R * +--R cos(x) +--R + +--R 2 5 2 2 3 4 3 3 3 4 2 5 6 +--R - a c + (- a b - 3a b + 3a )c + (- 3a b + 5a b - 6a b + 4a )c +--R * +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 +--R \|- c - b + a \|c + b - a +--R / +--R 3 2 2 7 5 4 3 2 4 5 +--R (4b - 8a b + 4a b)c + (8b - 16a b + 16a b - 8a b)c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 3 +--R (4b - 8a b - 4a b + 16a b - 4a b - 8a b + 4a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 7 4 2 3 4 5 5 +--R (4a b - 8a b + 4a )c + (8a b - 16a b + 16a b - 8a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 3 +--R (4a b - 8a b - 4a b + 16a b - 4a b - 8a b + 4a )c +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (- 2b + 4a b - 2a )c + (6b - 12a b + 10a b - 8a b + 4a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (18b - 36a b + 2a b + 32a b - 18a b + 4a b - 2a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 2 +--R (10b - 20a b - 10a b + 40a b - 10a b - 20a b + 10a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 6 +--R (20a b - 40a b + 20a b)c +--R + +--R 5 2 4 4 2 5 4 +--R (40a b - 80a b + 80a b - 40a b)c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 2 +--R (20a b - 40a b - 20a b + 80a b - 20a b - 40a b + 20a b)c +--R * +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (2b - 4a b + 2a )c + (4b - 8a b + 10a b - 12a b + 6a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (2b - 4a b + 18a b - 32a b - 2a b + 36a b - 18a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 2 +--R (10a b - 20a b - 10a b + 40a b - 10a b - 20a b + 10a )c +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 7 2 3 3 2 4 5 +--R (- 4b + 8a b - 4a b)c + (8a b - 16a b + 8a b)c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 3 +--R (12b - 24a b + 4a b + 16a b - 12a b + 8a b - 4a b)c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R (8b - 16a b - 8a b + 32a b - 8a b - 16a b + 8a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 3 7 +--R (- 4a b + 8a b - 4a )c +--R + +--R 4 2 3 3 2 4 5 5 +--R (16a b - 32a b + 24a b - 16a b + 8a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 3 +--R (44a b - 88a b + 4a b + 80a b - 44a b + 8a b - 4a )c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R (24a b - 48a b - 24a b + 96a b - 24a b - 48a b + 24a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 7 +--R (4b - 8a b + 4a b)c +--R + +--R 5 4 2 3 3 2 4 5 +--R (8b - 16a b + 24a b - 32a b + 16a b)c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 3 +--R (4b - 8a b + 44a b - 80a b - 4a b + 88a b - 44a b)c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R (24a b - 48a b - 24a b + 96a b - 24a b - 48a b + 24a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 7 4 2 3 3 2 5 +--R (4a b - 8a b + 4a )c + (8a b - 16a b + 8a b )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 3 +--R (4a b - 8a b + 12a b - 16a b - 4a b + 24a b - 12a )c +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 +--R (8a b - 16a b - 8a b + 32a b - 8a b - 16a b + 8a )c +--R * +--R sin(x) +--R + +--R 4 3 2 2 6 +--R (- 2b + 4a b - 2a b )c +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 2b + 4a b + 2a b - 8a b + 4a b )c +--R + +--R 8 7 2 6 4 4 5 3 6 2 2 10 9 +--R (2b - 4a b + 2a b - 2a b + 4a b - 2a b )c + 2b - 4a b +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R - 2a b + 8a b - 2a b - 4a b + 2a b +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 2 3 6 3 3 4 2 5 4 +--R (- 4a b + 8a b - 4a b)c + (8a b - 16a b + 8a b)c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 2 +--R (12a b - 24a b + 4a b + 16a b - 12a b + 8a b - 4a b)c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 8a b - 16a b - 8a b + 32a b - 8a b - 16a b + 8a b +--R * +--R 3 +--R cos(x) +--R + +--R 4 3 3 4 6 +--R (2b - 4a b + 4a b - 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (4b - 8a b + 8a b - 8a b + 8a b - 8a b + 4a )c +--R + +--R 8 7 2 6 3 5 5 3 6 2 7 8 2 +--R (2b - 4a b + 20a b - 36a b + 36a b - 20a b + 4a b - 2a )c +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R 12a b - 24a b - 12a b + 48a b - 12a b - 24a b + 12a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 6 5 2 4 3 3 4 +--R (4a b - 8a b + 4a b)c + (8a b - 16a b + 8a b )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 2 +--R (4a b - 8a b + 12a b - 16a b - 4a b + 24a b - 12a b)c +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 +--R 8a b - 16a b - 8a b + 32a b - 8a b - 16a b + 8a b +--R * +--R cos(x) +--R + +--R 2 2 3 4 6 2 4 3 3 4 2 5 6 4 +--R (2a b - 4a b + 2a )c + (4a b - 8a b + 2a b + 4a b - 2a )c +--R + +--R 2 6 3 5 4 4 6 2 7 8 2 4 6 5 5 6 4 +--R (2a b - 4a b + 2a b - 2a b + 4a b - 2a )c + 2a b - 4a b - 2a b +--R + +--R 7 3 8 2 9 10 +--R 8a b - 2a b - 4a b + 2a +--R * +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 +--R \|- c - b + a \|c + b - a +--R Type: Expression Integer +--E 337 + +--S 338 of 532 +d0763a:= D(m0763a,x) +--R +--R +--R (311) +--R 4 3 2 2 3 4 7 +--R (2b - 4a b - 4a b + 12a b - 6a )c +--R + +--R 6 5 3 3 4 2 5 +--R (2b - 4a b + 4a b - 2a b )c +--R * +--R 7 +--R sin(x) +--R + +--R 2 2 3 8 +--R (- 3a b + 6a b - 3a )c +--R + +--R 5 4 2 3 3 2 6 +--R (- 4b + 14a b - 16a b + 6a b )c +--R + +--R 7 6 2 5 3 4 4 3 4 +--R (- 4b + 17a b - 30a b + 25a b - 8a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 8 +--R (- 4b + 6a b + 4a b - 6a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (4b - 20a b + 18a b + 14a b - 22a b + 6a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 4 +--R (8b - 26a b + 38a b - 44a b + 38a b - 14a b )c +--R * +--R cos(x) +--R + +--R 3 2 2 3 8 +--R (- 2b + a b + 8a b - 7a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 4b + 13a b - 12a b - 16a b + 36a b - 17a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 4 +--R (- 2b + 12a b - 20a b + 13a b - 12a b + 17a b - 8a b)c +--R * +--R 6 +--R sin(x) +--R + +--R 2 2 9 +--R (- 4b + 3a b - 3a )c +--R + +--R 4 3 2 2 3 4 7 +--R (4b - 43a b + 51a b - 27a b + 3a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 4b - 7a b + 27a b - 26a b + 10a b )c +--R + +--R 8 7 2 6 3 5 4 4 3 +--R (- 12b + 39a b - 75a b + 81a b - 33a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 9 +--R (- b - 9a b - 2a )c +--R + +--R 4 3 2 2 3 4 7 +--R (- 20b + 29a b - 61a b + 41a b - 25a )c +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (- 15b - 23a b + 48a b + 40a b - 84a b + 34a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 3 +--R (4b - 61a b + 151a b - 217a b + 205a b - 82a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 9 +--R (2b - 9a b - 5a )c +--R + +--R 4 3 2 2 3 4 7 +--R (- 8b - 16a b + 38a b - 30a b - 20a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 18b + 17a b - 43a b + 55a b + 39a b - 75a b +--R + +--R 6 +--R 25a +--R * +--R 5 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 8b + 24a b - 78a b + 153a b - 201a b + 183a b +--R + +--R 6 2 +--R - 73a b +--R * +--R 3 +--R c +--R * +--R cos(x) +--R + +--R 2 2 9 4 3 2 2 3 4 7 +--R (b - a b - 4a )c + (b - 12a b + 12a b + 10a b - 23a )c +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 19a b + 34a b - 23a b - 4a b + 27a b - 15a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 8a b + 20a b - 29a b + 41a b - 59a b + 59a b +--R + +--R 7 +--R - 24a b +--R * +--R 3 +--R c +--R * +--R 5 +--R sin(x) +--R + +--R 10 3 2 2 8 +--R 4b c + (- 21b + 35a b - 18a b)c +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 7b - 38a b + 18a b - 32a b + 11a b)c +--R + +--R 7 6 2 5 3 4 4 3 4 +--R (5b - 41a b + 90a b - 104a b + 50a b )c +--R + +--R 9 8 2 7 3 6 4 5 2 +--R (- 13b + 32a b - 66a b + 88a b - 41a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (3b + 5a)c + (2b - 58a b + 38a b - 22a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 5b - 2a b - 232a b + 116a b - 86a b + 17a )c +--R + +--R 7 6 2 5 3 4 4 3 +--R - 4b - 10a b - 104a b + 274a b - 284a b +--R + +--R 5 2 +--R 128a b +--R * +--R 4 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 2 +--R (- 71a b + 166a b - 264a b + 314a b - 145a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 5b + 5a)c + (11b - 55a b - 45a b - 7a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (13b - 86a b + 73a b - 325a b + 77a b - 40a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 7b - 18a b - 53a b - 14a b + 249a b - 274a b +--R + +--R 6 +--R 117a b +--R * +--R 4 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 4b + 8a b - 131a b + 290a b - 392a b + 422a b +--R + +--R 6 3 +--R - 193a b +--R * +--R 2 +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 5b - 3a)c + (- 5b + 11a b - 79a b - 15a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 8b + 13a b - 63a b + 29a b - 142a b - 21a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 8b - 9a b + 6a b - 77a b + 84a b + 63a b +--R + +--R 6 7 +--R - 98a b + 39a +--R * +--R 4 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 8a b + 16a b - 101a b + 210a b - 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4b - 94a b + 76a b - 202a b + 304a b - 228a b +--R + +--R 7 +--R 148a b +--R * +--R 3 +--R c +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R (- 96a b + 192a b - 240a b + 288a b - 144a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 11 2 9 +--R - c + (- 36a b - 9a )c +--R + +--R 4 3 2 2 3 4 7 +--R (7b - 28a b - 31a b - 190a b - 9a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 14b - 16a b - 10a b - 126a b + 18a b - 244a b +--R + +--R 6 +--R - 11a +--R * +--R 5 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 8b - 24a b + 20a b - 84a b + 43a b - 38a b +--R + +--R 6 2 7 8 +--R 91a b - 46a b + 30a +--R * +--R 3 +--R c +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R (- 54a b + 108a b - 120a b + 132a b - 66a b )c +--R * +--R cos(x) +--R + +--R 11 2 2 9 +--R - c + (- 2b - 15a )c +--R + +--R 4 3 2 2 3 4 7 +--R (- 3b + 8a b - 15a b - 22a b - 35a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 5 +--R (- 2b + 16a b - 24a b - 14a b + 20a b - 32a b - 39a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 3 +--R (8a b - 20a b + 8a b - 11a b + 2a b + 7a b + 6a b)c +--R + +--R 5 5 6 4 7 3 8 2 9 +--R (- 12a b + 24a b - 24a b + 24a b - 12a b)c +--R * +--R 3 +--R sin(x) +--R + +--R 10 3 2 2 3 8 +--R (- 4b + a)c + (25b + 9a b - 30a b + 5a )c +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 2b - 4a b + 105a b - 86a b + 22a b)c +--R + +--R 7 6 2 5 3 4 4 3 4 +--R (- 36b - 9a b - 3a b - 3a b - 6a b )c +--R + +--R 9 8 2 7 3 6 4 5 2 11 +--R (- 6b + 5a b - 21a b + 12a b + 10a b )c - b +--R + +--R 10 2 9 3 8 4 7 +--R 2a b - 3a b + 4a b - 2a b +--R * +--R 6 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 3b - 3a)c + (44b + 52a b - 27a b - 15a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (16b - 50a b + 21a b + 229a b - 132a b + 18a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 4 +--R (- 44b - 130a b - 79a b - 85a b + 10a b - 14a b )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 2 +--R (- 13b - 31a b + 21a b - 59a b + 10a b + 72a b )c +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 6a b + 12a b - 18a b + 24a b - 12a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (9b - 6a)c + (- 10b + 58a b + 84a b - 33a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 14b - 54a b - 233a b + 274a b + 63a b - 51a )c +--R + +--R 7 6 2 5 3 4 4 3 +--R - 2b - 175a b - 229a b - 253a b - 221a b +--R + +--R 5 2 6 +--R 19a b + 6a b +--R * +--R 4 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 7b - 57a b - 7a b - 76a b + 15a b - 32a b +--R + +--R 6 3 +--R 164a b +--R * +--R 2 +--R c +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 15a b + 30a b - 45a b + 60a b - 30a b +--R * +--R 4 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (6b + 6a)c + (- 48b - 38a b + 98a b + 24a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 56b - 74a b - 124a b - 374a b + 290a b - 42a )c +--R + +--R 7 6 2 5 3 4 4 3 +--R - 2b - 30a b - 260a b - 204a b - 516a b +--R + +--R 5 2 6 7 +--R - 172a b + 32a b + 12a +--R * +--R 4 +--R c +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 154a b + 134a b - 302a b + 202a b - 44a b +--R + +--R 7 2 +--R 164a b +--R * +--R 2 +--R c +--R + +--R 3 8 4 7 5 6 6 5 7 4 +--R - 20a b + 40a b - 60a b + 80a b - 40a b +--R * +--R 3 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 6b + 9a)c + (- 23b - 61a b - 50a b + 53a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 30b - 55a b - 81a b - 298a b - 160a b + 69a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 9b + 7a b - 9a b - 301a b - 59a b - 462a b +--R + +--R 6 7 +--R - 44a b + 22a +--R * +--R 4 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 4b - 8a b + 34a b - 226a b + 224a b - 339a b +--R + +--R 6 3 7 2 8 +--R 249a b - 12a b + 74a b +--R * +--R 2 +--R c +--R + +--R 4 7 5 6 6 5 7 4 8 3 +--R - 15a b + 30a b - 45a b + 60a b - 30a b +--R * +--R 2 +--R cos(x) +--R + +--R 10 2 2 3 8 +--R (- 3b - 3a)c + (- 18a b - 67a b - 5a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (3b - 19a b - 63a b - 25a b - 227a b + a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 4a b - 24a b + 20a b - 170a b + 12a b - 179a b +--R + +--R 7 +--R - 5a +--R * +--R 4 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 8a b - 16a b + 40a b - 153a b + 137a b - 151a b +--R + +--R 7 2 8 9 +--R 121a b + 2a b + 12a +--R * +--R 2 +--R c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R - 6a b + 12a b - 18a b + 24a b - 12a b +--R * +--R cos(x) +--R + +--R 10 3 2 3 8 +--R (b - 4a)c + (4b - 10a b - 21a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (5b - 10a b + 3a b - 20a b - 14a b - 37a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R 2b - 4a b + 7a b - 17a b + 5a b - 22a b + 6a b +--R + +--R 7 +--R - 34a +--R * +--R 4 +--R c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 2 +--R (4a b - 8a b + 13a b - 37a b + 29a b - 22a b + 21a b)c +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - a b + 2a b - 3a b + 4a b - 2a b +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 9 +--R (- 5b - a b + 3a )c +--R + +--R 4 3 2 2 3 4 7 +--R (12b + 21a b - 42a b + 13a b - 3a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (10b + 9a b + 48a b - 70a b + 26a b )c +--R + +--R 8 7 2 6 3 5 4 4 3 +--R (- 12b - 9a b + 30a b - 47a b + 17a b )c +--R + +--R 10 9 2 8 3 7 4 6 +--R (- 5b + 4a b - 15a b + 20a b - 4a b )c +--R * +--R 7 +--R cos(x) +--R + +--R 2 2 9 +--R (- 17b + 5a b + 3a )c +--R + +--R 4 3 2 2 3 4 7 +--R (6b + 65a b + 34a b - 91a b + 9a )c +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (19b + 33a b + 7a b + 168a b - 188a b + 62a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 3 +--R (- 10b - 57a b - 76a b + 83a b - 133a b + 46a b )c +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R (- 6b - 30a b + 24a b - 72a b + 96a b - 12a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 9 4 3 2 2 3 4 7 +--R - 3a b c + (- 22b + 62a b + 146a b - 72a b - 33a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 24b + 39a b - 19a b + 59a b + 176a b - 141a b +--R + +--R 6 +--R 33a +--R * +--R 5 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 2b - 62a b - 182a b - 129a b + 8a b - 115a b +--R + +--R 6 2 +--R 41a b +--R * +--R 3 +--R c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R (- 36a b - 57a b + 24a b - 117a b + 192a b - 6a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 9 +--R (26b - 9a b - 2a )c +--R + +--R 4 3 2 2 3 4 7 +--R (6b - 66a b + 62a b + 152a b - 59a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 29b - 89a b - 22a b - 203a b + 264a b + 13a b +--R + +--R 6 +--R - 29a +--R * +--R 5 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 9b - 26a b - 114a b - 351a b - 75a b - 165a b +--R + +--R 6 2 7 +--R - 7a b + 12a b +--R * +--R 3 +--R c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 6a b - 102a b - 16a b - 76a b - 36a b + 208a b +--R + +--R 7 3 +--R 16a b +--R * +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 9 +--R (7b + 9a b - a )c +--R + +--R 4 3 2 2 3 4 7 +--R (14b - 77a b - 100a b + 123a b + 35a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 3b - 113a b - 160a b - 56a b - 265a b + 230a b +--R + +--R 6 +--R - 34a +--R * +--R 5 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 4b - 27a b - 45a b - 127a b - 333a b - 60a b +--R + +--R 6 2 7 +--R - 173a b + 34a b +--R * +--R 3 +--R c +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R 24a b - 168a b + 81a b - 204a b + 111a b +--R + +--R 7 3 8 2 +--R 132a b + 24a b +--R * +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 9 +--R (- 9b + 3a b + 3a )c +--R + +--R 4 3 2 2 3 4 7 +--R (- 12b - a b - 88a b - 61a b + 63a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 3b - 11a b - 116a b - 106a b - 134a b - 98a b +--R + +--R 6 +--R 51a +--R * +--R 5 +--R c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 7a b - 37a b - 9a b - 137a b - 110a b - 99a b +--R + +--R 7 8 +--R - 54a b + 12a +--R * +--R 3 +--R c +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R 36a b - 162a b + 114a b - 192a b + 144a b +--R + +--R 8 2 9 +--R 48a b + 12a b +--R * +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 9 +--R (- 2b - 5a b - 2a )c +--R + +--R 4 3 2 2 3 4 7 +--R (- 4b - 6a b - 4a b - 64a b + a )c +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (- 2b - a b - 4a b - 73a b - 12a b - 107a b)c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R - 2a b - 29a b + 23a b - 99a b + 27a b - 66a b +--R + +--R 8 +--R - a +--R * +--R 3 +--R c +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 10 +--R (24a b - 84a b + 61a b - 80a b + 69a b + 8a b + 2a )c +--R * +--R cos(x) +--R + +--R 2 9 3 2 2 4 7 +--R (a b - 4a )c + (2a b - 8a b - 13a )c +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (a b - 4a b + a b - 17a b + 5a b - 23a )c +--R + +--R 3 5 4 4 5 3 6 2 7 8 3 +--R (a b - 10a b + 11a b - 27a b + 18a b - 14a )c +--R + +--R 5 5 6 4 7 3 8 2 9 +--R (6a b - 18a b + 12a b - 12a b + 12a b)c +--R * +--R sin(x) +--R + +--R 3 2 2 8 +--R (- 2b - 2a b + 3a b)c +--R + +--R 5 4 2 3 3 2 4 6 +--R (b + 6a b - 13a b + 8a b - 3a b)c +--R + +--R 7 6 2 5 3 4 4 3 4 +--R (3b + 7a b + 3a b - 14a b + 6a b )c +--R + +--R 9 2 7 3 6 4 5 2 11 10 2 9 3 8 +--R (- b + 9a b - 20a b + 9a b )c - b + a b - 2a b + 2a b +--R * +--R 8 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (2b - 2a)c + (- 3b - 4a b - 4a b + 7a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 3b + 16a b + 19a b - 41a b + 14a b - 5a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 4 +--R (2b + 22a b + 21a b + 17a b - 58a b + 24a b )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 2 11 +--R (- b - 2a b - 13a b + 37a b - 82a b + 37a b )c - b +--R + +--R 10 2 9 3 8 4 7 +--R - 6a b + 5a b - 12a b + 14a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (2b - 2a)c + (5b - 11a b - 4a b + 6a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 3b + a b + 60a b - 3a b - 41a b + 2a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 9b + 11a b + 56a b + 14a b + 33a b - 80a b +--R + +--R 6 +--R 31a b +--R * +--R 4 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 3b - 6a b - 14a b - 36a b + 42a b - 124a b +--R + +--R 6 3 +--R 57a b +--R * +--R 2 +--R c +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 7a b - 14a b + 7a b - 28a b + 42a b +--R * +--R 6 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 4b + 4a)c + (2b + 5a b + 7a b - 10a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (5b - 23a b + 26a b + 92a b - 53a b - 7a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 3b - 43a b + 13a b + 48a b + 23a b + 17a b +--R + +--R 6 7 +--R - 40a b + 13a +--R * +--R 4 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 2b - 19a b - 9a b - 64a b - 11a b - 24a b +--R + +--R 6 3 7 2 +--R - 78a b + 39a b +--R * +--R 2 +--R c +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 21a b - 14a b - 7a b - 28a b + 70a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 4b + 4a)c + (- 8b + 24a b + 3a b - 9a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 2b + 7a b - 47a b + 30a b + 63a b - 21a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R 3b - 25a b - 94a b + 14a b - 19a b + 70a b - 15a b +--R + +--R 7 +--R - 4a +--R * +--R 4 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R b - 12a b - 46a b + 4a b - 116a b + 48a b - 89a b +--R + +--R 7 2 8 +--R - 10a b + 10a b +--R * +--R 2 +--R c +--R + +--R 3 8 5 6 7 4 +--R - 35a b - 35a b + 70a b +--R * +--R 4 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (2b - 2a)c + (b - 2a b + 2a b + 3a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 2b + 5a b - 35a b - 51a b + 55a b + 12a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - b + 8a b - 59a b - 106a b + 27a b - 52a b + 56a b +--R + +--R 7 +--R - 13a +--R * +--R 4 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 3a b - 26a b - 52a b + 15a b - 90a b + 43a b +--R + +--R 7 2 8 +--R - 69a b + 8a b +--R * +--R 2 +--R c +--R + +--R 4 7 5 6 6 5 7 4 8 3 +--R - 35a b + 14a b - 49a b + 28a b + 42a b +--R * +--R 3 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (2b - 2a)c + (5b - 11a b - 2a b + 4a )c +--R + +--R 5 4 3 2 4 5 6 +--R (4b - 14a b - 33a b - 20a b + 23a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R b - 5a b + 5a b - 53a b - 51a b + 4a b - 22a b +--R + +--R 7 +--R 9a +--R * +--R 4 +--R c +--R + +--R 2 7 3 6 4 5 6 3 7 2 8 9 2 +--R (3a b - 26a b - 25a b - 18a b - 2a b - 18a b + 2a )c +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R - 21a b + 14a b - 35a b + 28a b + 14a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 8 4 2 3 4 6 +--R (a b - 5a b)c + (2a b - 10a b - 16a b)c +--R + +--R 6 2 5 3 4 4 3 5 2 6 4 +--R (a b - 5a b + a b - 22a b - a b - 18a b)c +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 2 6 5 +--R (a b - 12a b - a b - 13a b + 12a b - 11a b)c - 7a b +--R + +--R 7 4 8 3 9 2 10 +--R 6a b - 13a b + 12a b + 2a b +--R * +--R cos(x) +--R + +--R 3 8 3 2 4 5 6 +--R - a c + (- 2a b + a b - 4a )c +--R + +--R 3 4 4 3 5 2 6 7 4 +--R (- a b + a b - 6a b + 4a b - 5a )c +--R + +--R 5 4 6 3 7 2 8 9 2 7 4 8 3 9 2 +--R (- 2a b + 2a b - 6a b + 5a b - 2a )c - a b + a b - 2a b +--R + +--R 10 +--R 2a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 2 3 8 +--R (- 4b + 4a b + 12a b - 12a )c +--R + +--R 5 4 2 3 3 2 6 +--R (- 4b + 4a b + 4a b - 4a b )c +--R * +--R 7 +--R sin(x) +--R + +--R 2 2 9 4 3 2 2 7 +--R (8b + 6a b - 6a )c + (16b - 20a b + 28a b )c +--R + +--R 6 5 2 4 3 3 5 +--R (8b - 26a b + 34a b - 16a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 9 +--R (8b + 12a b - 12a )c +--R + +--R 4 3 2 2 4 7 +--R (- 8b + 48a b - 4a b + 12a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 16b + 36a b - 40a b + 48a b - 28a b )c +--R * +--R cos(x) +--R + +--R 2 2 9 +--R (4b + 2a b - 6a )c +--R + +--R 4 3 2 2 3 4 7 +--R (8b - 18a b + 14a b + 38a b - 18a )c +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (4b - 20a b + 20a b - 6a b + 18a b - 16a b)c +--R * +--R 6 +--R sin(x) +--R + +--R 10 3 2 2 3 8 +--R (- 8b - 6a)c + (8b + 62a b - 64a b + 6a )c +--R + +--R 5 4 2 3 3 2 6 +--R (40b + 14a b + 32a b + 4a b )c +--R + +--R 7 6 2 5 3 4 4 +--R (24b - 54a b + 96a b - 66a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 6b - 12a)c + (24b + 46a b + 48a b - 66a )c +--R + +--R 5 4 2 3 3 2 4 6 +--R (22b + 172a b - 52a b + 92a b + 36a b)c +--R + +--R 7 6 2 5 3 4 4 3 4 +--R (- 8b + 114a b - 188a b + 246a b - 164a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (4b - 2a)c + (24b + 16a b + 60a b - 32a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (36b - 14a b + 184a b - 62a b + 92a b + 34a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 4 +--R (16b - 32a b + 124a b - 182a b + 220a b - 146a b )c +--R * +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 2b + 8a)c + (- 2b + 30a b - 18a b + 18a )c +--R + +--R 4 2 3 3 2 4 5 6 +--R (38a b - 38a b + 48a b + 8a b + 34a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 4 +--R (16a b - 24a b + 34a b - 48a b + 70a b - 48a b)c +--R * +--R 5 +--R sin(x) +--R + +--R 11 2 2 9 +--R 2c + (- 8b - 44a b + 4a )c +--R + +--R 4 3 2 2 3 7 +--R (4b + 34a b - 98a b + 38a b)c +--R + +--R 6 5 2 4 3 3 5 +--R (40b + 40a b - 8a b + 36a b )c +--R + +--R 8 7 2 6 3 5 3 +--R (26b - 38a b + 94a b - 82a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 11 2 2 9 +--R 2c + (- 20b - 56a b - 52a )c +--R + +--R 4 3 2 2 3 4 7 +--R (- 46b + 30a b + 214a b - 250a b + 50a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 24b + 228a b + 76a b + 88a b + 64a b )c +--R + +--R 7 2 6 3 5 4 4 3 +--R (142a b - 190a b + 338a b - 290a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 11 2 2 9 +--R - 2c + (- 6b - 8a b - 66a )c +--R + +--R 4 3 2 2 3 4 7 +--R (2b - 46a b + 136a b + 170a b - 136a )c +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (14b - 46a b + 456a b - 104a b + 286a b + 42a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 3 +--R (8b - 8a b + 254a b - 326a b + 458a b - 386a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 11 2 2 9 +--R 2c + (- 6b + 28a b + 10a )c +--R + +--R 4 3 2 2 3 4 7 +--R (8b + 46a b - 100a b + 242a b - 26a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 16b + 34a b - 74a b + 376a b - 216a b + 282a b +--R + +--R 6 +--R 14a +--R * +--R 5 +--R c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 3 +--R (16a b - 16a b + 186a b - 234a b + 278a b - 230a b )c +--R * +--R cos(x) +--R + +--R 11 2 2 9 +--R 4c + (8b - 16a b + 40a )c +--R + +--R 4 2 2 3 4 7 +--R (4b + 52a b - 96a b + 104a )c +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (16a b + 20a b - 52a b + 108a b - 76a b + 92a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 3 +--R (8a b - 8a b + 48a b - 60a b + 64a b - 52a b)c +--R * +--R 4 +--R sin(x) +--R + +--R 10 2 2 8 +--R - 4b c + (4a b - 44a b)c +--R + +--R 5 4 2 3 3 2 6 +--R (24b - 4a b - 52a b + 44a b )c +--R + +--R 7 6 2 5 3 4 4 +--R (32b - 20a b + 28a b + 8a b )c +--R + +--R 9 8 2 7 3 6 2 +--R (12b - 12a b + 36a b - 36a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (8b - 4a)c + (80b - 52a b - 132a b - 32a )c +--R + +--R 5 4 2 3 3 2 4 6 +--R (36b + 80a b + 36a b - 228a b + 160a b)c +--R + +--R 7 6 2 5 3 4 4 3 4 +--R (- 36b + 200a b - 104a b + 172a b + 8a b )c +--R + +--R 8 2 7 3 6 4 5 2 +--R (72a b - 72a b + 168a b - 168a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (16b + 4a)c + (56b + 56a b - 120a b - 116a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (64b - 68a b + 104a b + 260a b - 256a b + 112a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 4 +--R (24b - 120a b + 392a b - 224a b + 472a b - 64a b )c +--R + +--R 2 7 3 6 4 5 5 4 2 +--R (168a b - 168a b + 312a b - 312a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (8b + 12a)c + (- 60b + 116a b + 76a b - 88a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 60b + 112a b - 196a b + 312a b + 176a b - 80a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 8b + 8a b - 104a b + 424a b - 352a b + 600a b +--R + +--R 6 +--R - 104a b +--R * +--R 4 +--R c +--R + +--R 3 6 4 5 5 4 6 3 2 +--R (192a b - 192a b + 288a b - 288a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (4b + 12a)c + (- 8b - 72a b + 140a b + 56a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 28b - 52a b + 132a b - 264a b + 396a b - 28a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 16b + 32a b - 8a b - 40a b + 264a b - 300a b +--R + +--R 6 7 +--R 348a b - 40a +--R * +--R 4 +--R c +--R + +--R 4 5 5 4 6 3 7 2 2 +--R (108a b - 108a b + 132a b - 132a b )c +--R * +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R 8a c + (4b - 4a b - 40a b + 84a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (4b - 28a b - 8a b + 84a b - 148a b + 132a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 16a b + 24a b + 8a b - 20a b + 64a b - 88a b +--R + +--R 7 +--R 76a +--R * +--R 4 +--R c +--R + +--R 5 4 6 3 7 2 8 2 +--R (24a b - 24a b + 24a b - 24a b)c +--R * +--R 3 +--R sin(x) +--R + +--R 11 2 2 9 +--R 2c + (- 14b - 44a b + 10a )c +--R + +--R 4 3 2 2 3 7 +--R (- 12b + 40a b - 116a b + 32a b)c +--R + +--R 6 5 2 4 3 3 5 +--R (28b + 50a b - 58a b + 60a b )c +--R + +--R 8 7 2 6 3 5 3 +--R (26b - 36a b + 72a b - 56a b )c +--R + +--R 10 9 2 8 3 7 +--R (2b - 2a b + 4a b - 4a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 9 +--R (- 64b - 48a b - 24a )c +--R + +--R 4 3 2 2 3 4 7 +--R (- 4b - 84a b + 104a b - 204a b + 24a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (48b + 124a b + 192a b - 168a b + 188a b )c +--R + +--R 8 7 2 6 3 5 4 4 3 +--R (- 12b + 172a b - 220a b + 332a b - 236a b )c +--R + +--R 9 2 8 3 7 4 6 +--R (12a b - 12a b + 24a b - 24a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 11 2 2 9 +--R - 6c + (- 16b - 12a b - 48a )c +--R + +--R 3 2 2 3 4 7 +--R (96a b + 2a b - 72a b - 90a )c +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (24b + 46a b + 372a b + 240a b - 190a b + 228a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 3 +--R (14b - 62a b + 352a b - 466a b + 684a b - 432a b )c +--R + +--R 2 8 3 7 4 6 5 5 +--R (30a b - 30a b + 60a b - 60a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 2 9 +--R (84b + 28a b)c +--R + +--R 4 3 2 2 3 4 7 +--R (52b + 172a b + 56a b + 80a b - 96a )c +--R + +--R 6 5 2 4 3 3 4 2 +--R - 32b + 144a b - 248a b + 592a b + 160a b +--R + +--R 5 6 +--R - 72a b + 96a +--R * +--R 5 +--R c +--R + +--R 2 6 3 5 4 4 5 3 6 2 3 +--R (- 72a b + 320a b - 496a b + 800a b - 432a b )c +--R + +--R 3 7 4 6 5 5 6 4 +--R (40a b - 40a b + 80a b - 80a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 11 2 2 9 +--R 6c + (46b + 72a b + 34a )c +--R + +--R 4 3 2 2 3 4 7 +--R (66b - 40a b + 236a b + 92a b + 22a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 18b - 104a b + 142a b - 424a b + 602a b + 2a b +--R + +--R 6 +--R 4a +--R * +--R 5 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 8b + 8a b - 60a b + 12a b + 154a b - 328a b +--R + +--R 6 2 7 +--R 544a b - 232a b +--R * +--R 3 +--R c +--R + +--R 4 6 5 5 6 4 7 3 +--R (30a b - 30a b + 60a b - 60a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 9 +--R (- 12b + 36a b + 32a )c +--R + +--R 4 3 2 2 3 4 7 +--R (- 12b + 44a b - 76a b + 168a b + 64a )c +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- 8a b - 68a b + 80a b - 292a b + 332a b - 44a )c +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 16a b + 16a b - 64a b + 52a b + 52a b +--R + +--R 6 2 7 8 +--R - 148a b + 196a b - 52a +--R * +--R 3 +--R c +--R + +--R 5 5 6 4 7 3 8 2 +--R (12a b - 12a b + 24a b - 24a b )c +--R * +--R cos(x) +--R + +--R 11 2 2 9 +--R - 2c + (- 8b + 12a )c +--R + +--R 4 3 2 2 3 4 7 +--R (- 10b + 4a b + 10a b - 40a b + 68a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 5 +--R (- 4b + 4a b - 10a b - 12a b + 34a b - 90a b + 62a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 3 +--R (- 8a b + 8a b - 18a b + 18a b + 12a b - 34a b + 28a )c +--R + +--R 6 4 7 3 8 2 9 +--R (2a b - 2a b + 4a b - 4a b)c +--R * +--R 2 +--R sin(x) +--R + +--R 10 3 2 2 3 8 +--R (4b + 6a)c + (- 8b - 58a b + 20a b - 6a )c +--R + +--R 5 4 2 3 3 2 6 +--R (- 16b - 18a b - 84a b + 40a b )c +--R + +--R 7 6 2 5 3 4 4 +--R (8b + 34a b - 68a b + 74a b )c +--R + +--R 9 8 2 7 3 6 2 +--R (12b - 12a b + 36a b - 36a b )c +--R * +--R 7 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (28b + 6a)c + (- 4b - 54a b - 152a b + 18a )c +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 18b - 116a b - 20a b - 240a b + 100a b)c +--R + +--R 7 6 2 5 3 4 4 3 4 +--R (12b + 30a b + 196a b - 214a b + 252a b )c +--R + +--R 9 8 2 7 3 6 4 5 2 +--R (- 2b + 86a b - 88a b + 196a b - 192a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (12b + 6a)c + (32b - 20a b - 168a b - 60a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (28b + 6a b - 188a b + 10a b - 204a b + 54a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 4 +--R (8b + 20a b + 208a b + 318a b - 228a b + 322a b )c +--R + +--R 8 2 7 3 6 4 5 5 4 2 +--R (- 12a b + 228a b - 240a b + 456a b - 432a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 40b + 2a)c + (- 8b + 44a b + 88a b - 104a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (30b + 144a b + 132a b + 34a b - 76a b - 54a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 2b + 90a b - 122a b + 580a b + 120a b - 70a b +--R + +--R 6 +--R 184a b +--R * +--R 4 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 12a b - 18a b + 294a b - 324a b + 588a b +--R + +--R 6 3 +--R - 528a b +--R * +--R 2 +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 20b - 14a)c + (- 32b + 82a b + 132a b + 38a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 4b + 78a b + 372a b + 100a b + 148a b - 64a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 8b - 18a b + 192a b - 354a b + 712a b - 128a b +--R + +--R 6 7 +--R 28a b + 40a +--R * +--R 4 +--R c +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 48a b + 8a b + 196a b - 236a b + 452a b +--R + +--R 7 2 +--R - 372a b +--R * +--R 2 +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (12b - 6a)c + (12b + 14a b + 64a b + 78a )c +--R + +--R 4 2 3 3 2 4 5 6 +--R (34a b + 8a b + 320a b + 50a b + 50a )c +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 14a b - 32a b + 146a b - 340a b + 424a b +--R + +--R 6 7 +--R - 120a b + 16a +--R * +--R 4 +--R c +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 2 +--R (- 72a b + 42a b + 66a b - 96a b + 204a b - 144a b)c +--R * +--R 2 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (4b + 2a)c + (8b - 4a b + 16a b + 28a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (4b - 6a b + 20a b - 30a b + 116a b + 22a )c +--R + +--R 2 5 3 4 4 3 5 2 6 7 4 +--R (4a b - 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4a b + 25a b + 4a b + 61a b - 15a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 3 +--R (8a b - 4a b + 5a b - 7a b + 11a b + 11a b - 24a b)c +--R * +--R 5 +--R sin(x) +--R + +--R 10 3 2 2 8 +--R 6b c + (- 29b - 9a b - 14a b)c +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 3b - 4a b - 80a b + 6a b + 11a b)c +--R + +--R 7 6 2 5 3 4 4 3 4 +--R (45b - a b + 82a b - 68a b + 50a b )c +--R + +--R 9 8 2 7 3 6 4 5 2 +--R (13b - 6a b + 28a b + 6a b - 41a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (5b + 5a)c + (- 18b - 114a b - 14a b - 22a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 51b + 28a b - 18a b - 134a b - 36a b + 17a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 4 +--R (- 28b + 218a b - 28a b + 362a b - 220a b + 128a b )c +--R + +--R 8 2 7 3 6 4 5 5 4 2 +--R (71a b - 24a b + 74a b + 24a b - 145a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 7b + 5a)c + (5b - 63a b - 111a b - 7a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (15b - 132a b + 209a b - 155a b - 59a b - 40a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 7b - 64a b + 403a b - 118a b + 535a b - 232a b +--R + +--R 6 +--R 117a b +--R * +--R 4 +--R c +--R + +--R 9 2 7 3 6 4 5 5 4 6 3 2 +--R (4b + 123a b - 36a b + 66a b + 36a b - 193a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 3b - 3a)c + (- 11b + 39a b - 69a b - 15a )c +--R + +--R 4 2 3 3 2 4 5 6 +--R (59a b - 163a b + 271a b - 168a b - 21a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 8b + 25a b - 68a b + 299a b - 132a b + 345a b +--R + +--R 6 7 +--R - 84a b + 39a +--R * +--R 4 +--R c +--R + +--R 8 3 6 4 5 5 4 6 3 7 2 2 +--R (8a b + 85a b - 24a b + 22a b + 24a b - 115a b )c +--R * +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (3b - 3a)c + (5b - 13a b + 32a b - 20a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (2b - 2a b + 44a b - 76a b + 81a b - 33a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 4 +--R (8a b + 18a b - 32a b + 69a b - 41a b + 90a b - 4a )c +--R + +--R 2 7 4 5 5 4 6 3 7 2 8 2 +--R (4a b + 20a b - 6a b + 2a b + 6a b - 26a b)c +--R * +--R 4 +--R sin(x) +--R + +--R 11 2 2 9 +--R - c + (14b - 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86a b + 30a +--R * +--R 3 +--R c +--R + +--R 4 6 6 4 8 2 +--R (54a b + 12a b - 66a b )c +--R * +--R cos(x) +--R + +--R 11 2 2 9 +--R - c + (- 2b + 8a b - 15a )c +--R + +--R 4 3 2 2 3 4 7 +--R (b + 4a b - 55a b + 62a b - 35a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 5 +--R (2b - 12a b - 32a b + 70a b - 128a b + 100a b - 39a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 3 +--R (- 8a b + 4a b + 16a b - 31a b + 66a b - 81a b + 82a b)c +--R + +--R 5 5 9 +--R (12a b - 12a b)c +--R * +--R 3 +--R sin(x) +--R + +--R 10 3 2 2 3 8 +--R (- 2b + a)c + (11b - 35a b - 20a b + 5a )c +--R + +--R 5 4 2 3 3 2 4 6 +--R (- 14b + 36a b - 11a b - 54a b + 22a b)c +--R + +--R 7 6 2 5 3 4 4 3 4 +--R (- 8b + 41a b - 61a b + 57a b - 6a b )c +--R + +--R 9 8 2 7 3 6 4 5 2 11 2 9 +--R (20b - 31a b + 51a b - 44a b + 10a b )c + b + a b +--R + +--R 4 7 +--R - 2a b +--R * +--R 6 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 3b - 3a)c + (- 20b + 4a b - 51a b - 15a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (12b - 134a b + 125a b + 25a b - 108a b + 18a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 4 +--R (4b - 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226a b + 454a b - 798a b + 1002a b - 476a b +--R + +--R 7 2 +--R 164a b +--R * +--R 2 +--R c +--R + +--R 3 8 5 6 7 4 +--R 20a b + 20a b - 40a b +--R * +--R 3 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R 9a c + (23b + 11a b - 16a b + 53a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (36b - 95a b + 155a b - 206a b - 138a b + 69a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 9b - 97a b + 133a b - 725a b + 543a b - 460a b +--R + +--R 6 7 +--R - 40a b + 22a +--R * +--R 4 +--R c +--R + +--R 9 2 7 3 6 4 5 5 4 6 3 +--R - 4b - 26a b - 214a b + 378a b - 667a b + 793a b +--R + +--R 7 2 8 +--R - 244a b + 74a b +--R * +--R 2 +--R c +--R + +--R 4 7 6 5 8 3 +--R 15a b + 15a b - 30a b +--R * +--R 2 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 3b - 3a)c + (- 12b + 18a b - 35a b - 5a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (- 9b + 25a b - 139a b + 143a b - 163a b + a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 4a b - 92a b + 100a b - 462a b + 344a b - 223a b +--R + +--R 7 +--R - 5a +--R * +--R 4 +--R c +--R + +--R 8 3 6 4 5 5 4 6 3 7 2 +--R - 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236a b + 229a b + 45a b - 235a b +--R + +--R 6 2 7 +--R 177a b + 12a b +--R * +--R 3 +--R c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R - 6a b - 120a b + 278a b - 400a b + 552a b - 320a b +--R + +--R 7 3 +--R 16a b +--R * +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 9 +--R (- 13b - 5a b - a )c +--R + +--R 4 3 2 2 3 4 7 +--R (- 18b + 5a b + 32a b + 161a b + 35a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - b - 35a b + 212a b + 44a b - 117a b + 166a b +--R + +--R 6 +--R - 34a +--R * +--R 5 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 4b - 45a b + 147a b - 481a b + 379a b - 188a b +--R + +--R 6 2 7 +--R - 145a b + 74a b +--R * +--R 3 +--R c +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R - 24a b - 160a b + 277a b - 440a b + 563a b +--R + +--R 7 3 8 2 +--R - 240a b + 24a b +--R * +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 9 3 2 2 3 4 7 +--R (3b - 3a b + 3a )c + (13a b - 24a b + 17a b + 63a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 3b + 23a b - 108a b + 214a b - 84a b - 48a b +--R + +--R 6 +--R 51a +--R * +--R 5 +--R c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 7a b - 69a b + 137a b - 477a b + 314a b - 219a b +--R + +--R 7 8 +--R - 38a b + 12a +--R * +--R 3 +--R c +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R - 36a b - 120a b + 180a b - 288a b + 348a b - 96a b +--R + +--R 9 +--R 12a b +--R * +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 9 4 3 2 2 3 4 7 +--R (2b - 3a b - 2a )c + (4b - 10a b + 12a b - 36a b + a )c +--R + +--R 6 5 2 4 3 3 4 2 5 5 +--R (2b - 7a b + 16a b - 103a b + 104a b - 85a b)c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 3 +--R (2a b - 47a b + 59a b - 233a b + 143a b - 94a b - a )c +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 +--R - 24a b - 48a b + 73a b - 104a b + 117a b - 16a b +--R + +--R 10 +--R 2a +--R * +--R c +--R * +--R cos(x) +--R + +--R 2 9 3 2 2 3 4 7 +--R (- a b - 4a )c + (- 2a b - 8a b + 8a b - 13a )c +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- a b - 4a b + 7a b - 31a b + 21a b - 23a )c +--R + +--R 3 5 4 4 5 3 6 2 7 8 3 +--R (- a b - 12a b + 11a b - 45a b + 28a b - 14a )c +--R + +--R 5 5 6 4 7 3 8 2 9 +--R (- 6a b - 8a b + 14a b - 16a b + 16a b)c +--R * +--R sin(x) +--R + +--R 2 2 8 5 4 2 3 3 2 4 6 +--R (4a b + 3a b)c + (b - 8a b - 3a b + 2a b - 3a b)c +--R + +--R 7 6 2 5 3 4 4 3 4 +--R (- b - 9a b - 13a b - 6a b + 6a b )c +--R + +--R 9 8 2 7 3 6 4 5 2 11 10 2 9 +--R (- b + 2a b - 13a b + 6a b + 9a b )c + b - a b + 2a b +--R + +--R 3 8 +--R - 2a b +--R * +--R 8 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 2b - 2a)c + (b + 2a b + 10a b + 7a )c +--R + +--R 5 4 2 3 3 2 4 5 6 +--R (3b + 6a b - 39a b - 23a b + 4a b - 5a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 4 +--R (2b - 18a b - 43a b - 51a b - 22a b + 24a b )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 2 11 +--R (b - 12a b + 13a b - 53a b + 32a b + 37a b )c - b +--R + +--R 10 2 9 3 8 4 7 +--R 8a b - 9a b + 16a b - 14a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 3 2 2 3 8 +--R (- 2b - 2a)c + (- b - a b + 8a b + 6a )c +--R + +--R 5 4 3 2 4 5 6 +--R (3b + 17a b - 75a b - 37a b + 2a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 4 +--R (5b + 23a b - 68a b - 68a b - 65a b - 30a b + 31a b)c +--R + +--R 9 2 7 3 6 4 5 5 4 6 3 2 10 +--R (3b - 24a b + 28a b - 92a b + 70a b + 57a b )c - 7a b +--R + +--R 2 9 3 8 4 7 5 6 +--R 28a b - 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21a b + 28a b - 49a b + 56a b - 14a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 8 4 2 3 3 2 4 6 +--R (- a b - 3a b)c + (- 2a b - 6a b + 8a b - 10a b)c +--R + +--R 6 2 5 3 4 4 3 5 2 6 4 +--R (- a b - 3a b + 7a b - 26a b + 27a b - 16a b)c +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 2 6 5 +--R (- a b - 10a b + 23a b - 35a b + 22a b - 17a b)c - 7a b +--R + +--R 7 4 8 3 9 2 10 +--R 8a b - 15a b + 16a b - 2a b +--R * +--R cos(x) +--R + +--R 3 8 3 2 4 5 6 +--R - a c + (- 2a b + a b - 4a )c +--R + +--R 3 4 4 3 5 2 6 7 4 +--R (- a b + a b - 6a b + 4a b - 5a )c +--R + +--R 5 4 6 3 7 2 8 9 2 7 4 8 3 9 2 10 +--R (- 2a b + 2a b - 6a b + 5a b - 2a )c - a b + a b - 2a b + 2a b +--R * +--R +------------+ +--R | 2 2 2 +--R \|c + b - a +--R + +--R 4 3 2 2 3 4 8 +--R (- 2b + 4a b + 4a b - 12a b + 6a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (- 4b + 8a b + 6a b - 20a b + 4a b + 12a b - 6a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 4 +--R (- 2b + 4a b + 2a b - 8a b + 2a b + 4a b - 2a b )c +--R * +--R 7 +--R sin(x) +--R + +--R 2 2 3 9 +--R (3a b - 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10a b - 13a b - 6a b + 7a b )c - b +--R + +--R 11 2 10 3 9 4 8 5 7 +--R a b - a b + a b + 2a b - 2a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 2 10 +--R (17b - 5a b - 3a )c +--R + +--R 4 3 2 2 3 4 8 +--R (8b - 84a b - 26a b + 85a b - 6a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (- 21b - 73a b - 68a b + 59a b + 73a b - 80a b + 9a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 4 +--R (b + 81a b - 7a b - 60a b + 108a b + 100a b - 76a b )c +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 12b + 70a b + 43a b - 39a b - 79a b - 46a b +--R + +--R 6 4 +--R 39a b +--R * +--R 2 +--R c +--R + +--R 12 11 2 10 3 9 4 8 5 7 6 6 +--R - b - 5a b + 5a b - 5a b + 8a b + 10a b - 12a b +--R * +--R 6 +--R cos(x) +--R + +--R 10 4 3 2 2 3 4 8 +--R 3a b c + (16b - 47a b - 155a b + 72a b + 33a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (30b - 39a b - 101a b - 59a b + 73a b + 6a b - 33a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 12b + 69a b + 236a b - 31a b - 57a b + 178a b +--R + +--R 6 2 7 +--R 115a b - 81a b +--R * +--R 4 +--R c +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R - 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2a b +--R * +--R sin(x) +--R + +--R 3 2 2 9 4 2 3 3 2 4 7 +--R (2b + 2a b - 3a b)c + (- 3a b + 5a b - 4a b + 3a b)c +--R + +--R 7 6 2 5 3 4 4 3 5 2 5 +--R (- 4b - 13a b + 13a b + 7a b - 10a b + 2a b )c +--R + +--R 8 2 7 3 6 4 5 5 4 3 +--R (- 9a b + 7a b + 10a b - a b - 4a b )c +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R (2b - a b + 2a b - a b - 4a b + 2a b )c +--R * +--R 8 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 2b + 2a)c + (b + 8a b + 2a b - 7a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (5b - 16a b - 11a b + 21a b - 4a b + 5a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 5 +--R (b - 36a b - 44a b + 59a b + 20a b - 32a b + 4a b)c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 3 +--R (b - 2a b - 35a b + 43a b + 38a b - 5a b - 16a b )c +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R (2b + 12a b - 4a b + 12a b - 10a b - 24a b + 12a b )c +--R * +--R 7 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 2b + 2a)c + (- 5b + 9a b + 8a b - 8a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (b + 3a b - 58a b + 5a b + 29a b + 4a )c +--R + +--R 7 2 5 3 4 4 3 5 2 6 7 5 +--R (9b - 106a b - 41a b + 111a b + 4a b - 35a b + 2a )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 5b + 17a b - 10a b - 56a b + 104a b + 57a b - 9a b +--R + +--R 7 2 +--R - 24a b +--R * +--R 3 +--R c +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 7 4 +--R (13a b + 30a b - 2a b + 30a b - 41a b - 60a b + 30a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (4b - 4a)c + (2b - 13a b - 3a b + 10a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 5b + 15a b - 26a b - 72a b + 41a b + 7a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 5 +--R (53a b + 6a b - 152a b - 3a b + 107a b - 26a b - 13a )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 3b + 29a b + 65a b - 30a b - 54a b + 128a b + 50a b +--R + +--R 7 2 8 +--R - 7a b - 16a b +--R * +--R 3 +--R c +--R + +--R 2 9 3 8 4 7 5 6 6 5 7 4 8 3 +--R (36a b + 40a b + 16a b + 40a b - 92a b - 80a b + 40a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (4b - 4a)c + (8b - 20a b - 11a b + 13a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (3b - 12a b + 43a b - 30a b - 46a b + 12a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - 2b + 20a b + 122a b + 10a b - 130a b + 12a b + 55a b +--R + +--R 7 +--R - 17a +--R * +--R 5 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R - b + 16a b + 68a b + 108a b - 60a b - 38a b + 85a b +--R + +--R 7 2 8 9 +--R 38a b - 2a b - 4a +--R * +--R 3 +--R c +--R + +--R 3 8 4 7 5 6 6 5 7 4 8 3 9 2 +--R (55a b + 30a b + 40a b + 30a b - 125a b - 60a b + 30a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 2b + 2a)c + (- 3b + 6a b - 4a b - 3a )c +--R + +--R 4 2 3 3 2 4 5 7 +--R (3a b + 27a b + 47a b - 49a b - 12a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R b - 4a b + 63a b + 130a b - 12a b - 70a b + 19a b +--R + +--R 7 +--R 13a +--R * +--R 5 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R - 3a b + 32a b + 80a b + 93a b - 70a b - 17a b + 29a b +--R + +--R 8 +--R 24a b +--R * +--R 3 +--R c +--R + +--R 4 7 5 6 6 5 7 4 8 3 9 2 10 +--R (50a b + 12a b + 44a b + 12a b - 106a b - 24a b + 12a b)c +--R * +--R 3 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 2b + 2a)c + (- 5b + 9a b + 6a b - 6a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 4b + 12a b + 10a b + 27a b + 14a b - 19a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 7 5 +--R (- b + 5a b + a b + 63a b + 59a b - 11a b - 18a b + 14a )c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R - 3a b + 30a b + 47a b + 47a b - 42a b - 6a b + 4a b +--R + +--R 9 +--R 7a +--R * +--R 3 +--R c +--R + +--R 5 6 6 5 7 4 8 3 9 2 10 11 +--R (27a b + 2a b + 26a b + 2a b - 55a b - 4a b + 2a )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 9 4 2 3 3 2 4 7 +--R (- a b + 5a b)c + (- 2a b + 10a b + 4a b + 12a b)c +--R + +--R 6 2 5 3 4 4 3 5 2 6 5 +--R (- a b + 5a b + 3a b + 25a b + 7a b + 5a b)c +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 3 +--R (- a b + 13a b + 11a b + 17a b - 10a b - 6a b)c +--R + +--R 6 5 8 3 10 +--R (8a b + 8a b - 16a b)c +--R * +--R cos(x) +--R + +--R 3 9 3 2 5 7 3 4 5 2 7 5 +--R a c + (2a b + 3a )c + (a b + 5a b + a )c +--R + +--R 5 4 7 2 9 3 7 4 9 2 11 +--R (2a b + 4a b - 3a )c + (a b + a b - 2a )c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 2 3 9 +--R (4b - 4a b - 12a b + 12a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (8b - 8a b - 20a b + 20a b + 12a b - 12a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 5 +--R (4b - 4a b - 8a b + 8a b + 4a b - 4a b )c +--R * +--R 7 +--R sin(x) +--R + +--R 2 2 10 +--R (- 8b - 6a b + 6a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- 16b + 6a b - 14a b + 6a b - 6a )c +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (- 8b + 30a b - 38a b - 12a b + 28a b )c +--R + +--R 7 2 6 3 5 4 4 4 +--R (18a b - 18a b - 18a b + 18a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 10 3 2 2 4 8 +--R (- 8b - 12a b + 12a )c + (- 40a b + 4a b - 12a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (24b - 44a b - 4a b - 4a b + 16a b + 12a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 4 +--R (16b - 16a b + 4a b - 4a b - 20a b + 20a b )c +--R * +--R cos(x) +--R + +--R 2 2 10 +--R (- 4b - 2a b + 6a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- 8b + 12a b - 8a b - 32a b + 12a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (- 4b + 30a b - 30a b - 46a b + 34a b + 34a b - 18a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 4 +--R (16a b - 16a b - 14a b + 14a b - 2a b + 2a b )c +--R * +--R 6 +--R sin(x) +--R + +--R 11 3 2 2 3 9 +--R (8b + 6a)c + (- 8b - 48a b + 50a b - 6a )c +--R + +--R 5 4 2 3 3 2 4 7 +--R (- 40b - 84a b + 38a b + 54a b - 58a b)c +--R + +--R 7 2 5 3 4 4 3 5 +--R (- 24b - 42a b + 30a b + 36a b )c +--R + +--R 8 2 7 3 6 4 5 3 +--R (30a b - 30a b - 30a b + 30a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (6b + 12a)c + (- 18b - 52a b - 36a b + 54a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 46b - 148a b - 42a b + 2a b + 30a b - 66a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 5 +--R (- 14b - 92a b + 68a b - 126a b + 36a b + 128a b )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 3 +--R (8b - 8a b + 74a b - 74a b - 82a b + 82a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 4b + 2a)c + (- 24b - 18a b - 58a b + 32a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 36b - 26a b - 144a b + 34a b - 64a b - 34a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 16b + 10a b - 102a b + 60a b - 98a b + 20a b +--R + +--R 6 +--R 126a b +--R * +--R 5 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 3 +--R (16a b - 16a b + 58a b - 58a b - 74a b + 74a b )c +--R * +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (2b - 8a)c + (4b - 32a b + 10a b - 10a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (2b - 40a b + 26a b - 36a b - 26a b - 16a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 5 +--R (- 16a b + 24a b - 34a b - 8a b - 14a b + 14a b + 34a )c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 3 +--R (8a b - 8a b + 14a b - 14a b - 22a b + 22a b )c +--R * +--R 5 +--R sin(x) +--R + +--R 12 2 2 10 +--R - 2c + (8b + 42a b - 2a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- 4b + 18a b + 46a b - 42a b + 4a )c +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (- 40b - 78a b + 46a b + 24a b - 60a b )c +--R + +--R 8 7 2 6 3 5 4 4 4 +--R (- 26b - 42a b - 14a b + 54a b + 28a b )c +--R + +--R 9 2 8 3 7 4 6 2 +--R (12a b - 12a b - 12a b + 12a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 12 2 2 10 +--R - 2c + (18b + 58a b + 52a )c +--R + +--R 4 3 2 2 3 4 8 +--R (66b - 50a b - 106a b + 142a b - 50a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (70b - 274a b - 320a b + 156a b + 136a b - 200a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 4 +--R (24b - 166a b - 114a b - 34a b + 138a b + 152a b )c +--R + +--R 2 8 3 7 4 6 5 5 2 +--R (48a b - 48a b - 48a b + 48a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 12 2 2 10 +--R 2c + (6b + 10a b + 64a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- 2b + 60a b - 150a b - 104a b + 70a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 14b + 90a b - 500a b - 202a b + 20a b + 94a b +--R + +--R 6 +--R - 136a +--R * +--R 6 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 8b + 40a b - 286a b - 26a b - 106a b + 58a b +--R + +--R 6 2 +--R 328a b +--R * +--R 4 +--R c +--R + +--R 3 7 4 6 5 5 6 4 2 +--R (72a b - 72a b - 72a b + 72a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 12 2 2 10 +--R - 2c + (4b - 26a b - 10a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- 2b - 52a b + 62a b - 204a b + 26a )c +--R + +--R 6 5 2 4 3 3 5 6 6 +--R (- 24b - 26a b + 128a b - 430a b - 66a b - 14a )c +--R + +--R 8 2 6 3 5 4 4 5 3 6 2 +--R - 16b + 56a b - 226a b + 74a b - 118a b - 66a b +--R + +--R 7 +--R 296a b +--R * +--R 4 +--R c +--R + +--R 4 6 5 5 6 4 7 3 2 +--R (48a b - 48a b - 48a b + 48a b )c +--R * +--R cos(x) +--R + +--R 12 2 2 10 +--R - 4c + (- 8b + 12a b - 36a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- 4b + 8a b - 60a b + 56a b - 64a )c +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (- 20a b - 16a b + 96a b - 152a b - 28a b + 12a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R - 16a b + 8a b + 40a b - 80a b + 28a b - 32a b - 40a b +--R + +--R 8 +--R 92a +--R * +--R 4 +--R c +--R + +--R 5 5 6 4 7 3 8 2 2 +--R (12a b - 12a b - 12a b + 12a b )c +--R * +--R 4 +--R sin(x) +--R + +--R 11 2 9 5 2 3 4 7 +--R 4b c + 40a b c + (- 24b + 56a b - 44a b)c +--R + +--R 7 2 5 4 3 5 9 2 7 4 5 3 +--R (- 32b - 8a b - 8a b )c + (- 12b - 24a b + 36a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 8b + 4a)c + (- 88b + 60a b + 136a b + 28a )c +--R + +--R 5 2 3 3 2 4 5 7 +--R (- 116b + 148a b + 44a b - 128a b - 32a )c +--R + +--R 6 2 5 3 4 4 3 5 2 5 +--R (- 164a b - 12a b - 56a b + 60a b - 68a b )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 3 +--R (36b - 108a b - 24a b - 72a b - 12a b + 180a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 16b - 4a)c + (- 56b - 76a b + 140a b + 116a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 64b - 44a b + 8a b - 24a b + 20a b - 112a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 24b + 124a b - 396a b - 140a b - 108a b + 208a b +--R + +--R 6 +--R - 144a b +--R * +--R 5 +--R c +--R + +--R 8 2 7 4 5 5 4 6 3 3 +--R (96a b - 264a b - 144a b - 96a b + 408a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 8b - 12a)c + (52b - 108a b - 88a b + 100a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (120b - 172a b + 4a b - 120a b - 88a b - 8a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 52b - 68a b + 188a b - 508a b - 136a b - 112a b +--R + +--R 6 7 +--R 184a b - 80a +--R * +--R 5 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 8b + 8a b + 96a b - 288a b + 120a b - 216a b +--R + +--R 6 3 7 2 +--R - 208a b + 496a b +--R * +--R 3 +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 4b - 12a)c + (8b + 56a b - 124a b - 56a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (28b + 132a b - 212a b + 68a b - 200a b + 28a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 16b + 48a b - 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14a b - 12a b + 16a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 10 +--R (64b + 48a b + 24a )c +--R + +--R 4 3 2 2 3 4 8 +--R (68b + 20a b - 32a b + 132a b - 24a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 44b - 128a b - 212a b + 188a b - 8a b - 180a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 4 +--R (- 36b - 124a b - 96a b - 16a b + 216a b + 20a b )c +--R + +--R 10 9 2 8 3 7 4 6 5 5 2 +--R (12b - 24a b + 60a b - 72a b - 72a b + 96a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 12 2 2 10 +--R 6c + (16b + 18a b + 42a )c +--R + +--R 3 2 2 3 4 8 +--R (- 68a b - 30a b + 120a b + 42a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 24b - 142a b - 276a b - 170a b + 120a b - 138a b +--R + +--R 6 +--R - 90a +--R * +--R 6 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 14b - 8a b - 282a b - 146a b - 72a b + 394a b +--R + +--R 6 2 +--R 38a b +--R * +--R 4 +--R c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 2 +--R (48a b - 78a b + 144a b - 174a b - 192a b + 252a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 2 10 +--R (- 84b - 28a b)c +--R + +--R 4 3 2 2 3 4 8 +--R (- 136b - 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56a b + 8a b - 100a b - 64a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (12b - 4a b + 100a b - 112a b + 60a b - 100a b + 44a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 16a b + 60a b - 12a b + 160a b - 264a b - 140a b +--R + +--R 7 8 +--R 92a b + 52a +--R * +--R 4 +--R c +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 2 +--R (12a b - 24a b + 108a b - 120a b - 120a b + 144a b)c +--R * +--R cos(x) +--R + +--R 12 2 2 10 +--R 2c + (8b + 2a b - 14a )c +--R + +--R 4 3 2 2 3 4 8 +--R (10b + 4a b - 18a b + 28a b - 56a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (4b + 2a b + 4a b + 42a b - 64a b + 22a b + 6a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 4 +--R (8a b + 14a b - 4a b + 38a b - 68a b - 28a b + 34a )c +--R + +--R 6 4 7 3 8 2 9 10 2 +--R (- 2a b + 24a b - 26a b - 24a b + 28a )c +--R * +--R 2 +--R sin(x) +--R + +--R 11 3 2 2 3 9 +--R (- 4b - 6a)c + (8b + 48a b - 10a b + 6a )c +--R + +--R 5 4 2 3 3 2 4 7 +--R (16b + 84a b + 18a b - 54a b + 14a b)c +--R + +--R 7 2 5 3 4 4 3 5 +--R (- 8b + 34a b - 30a b - 44a b )c +--R + +--R 9 8 2 7 3 6 4 5 3 +--R (- 12b - 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40a b + 40a b - 40a b - 80a b + 80a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 12b + 6a)c + (- 24b - 2a b - 58a b - 84a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 12b - 22a b - 86a b - 242a b - 128a b + 28a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 14a b - 10a b - 104a b - 30a b - 54a b + 70a b +--R + +--R 7 +--R 34a +--R * +--R 5 +--R c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R 18a b + 54a b + 152a b - 260a b - 208a b + 100a b +--R + +--R 8 9 +--R 128a b + 16a +--R * +--R 3 +--R c +--R + +--R 4 7 5 6 6 5 7 4 8 3 9 2 +--R (30a b - 30a b + 30a b - 30a b - 60a b + 60a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 4b - 2a)c + (- 8b - 2a b - 10a b - 28a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 4b + 2a b - 16a b - 14a b - 72a b - 22a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 5 +--R (2a b - 6a b + 28a b - 46a b - 4a b + 22a b + 28a )c +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 14a b + 34a b + 62a b - 110a b - 64a b + 40a b +--R + +--R 9 +--R 24a +--R * +--R 3 +--R c +--R + +--R 5 6 6 5 7 4 8 3 9 2 10 +--R (12a b - 12a b + 12a b - 12a b - 24a b + 24a b)c +--R * +--R cos(x) +--R + +--R 11 2 2 3 9 +--R 2a c + (4a b + 2a b - 10a )c +--R + +--R 4 2 3 3 2 4 5 7 +--R (2a b + 4a b - 10a b + 6a b - 8a )c +--R + +--R 2 5 4 3 5 2 6 7 5 +--R (2a b + 10a b - 8a b + 2a b + 6a )c +--R + +--R 4 5 5 4 6 3 7 2 8 9 3 +--R (4a b + 8a b + 8a b - 20a b - 6a b + 6a )c +--R + +--R 6 5 7 4 8 3 9 2 10 11 +--R (2a b - 2a b + 2a b - 2a b - 4a b + 4a )c +--R * +--R sin(x) +--R + +--R 2 10 3 2 2 3 8 +--R (- 2b - 6a b)c + (6a b - 2a b + 6a b)c +--R + +--R 6 5 2 4 3 3 4 2 6 +--R (4b + 30a b + 2a b - 12a b + 4a b )c +--R + +--R 7 2 6 3 5 4 4 4 10 2 8 4 6 2 +--R (18a b + 2a b - 18a b - 8a b )c + (- 2b - 2a b + 4a b )c +--R * +--R 8 +--R cos(x) +--R + +--R 12 2 10 +--R 4c + (- 10a b - 14a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- 10b + 14a b + 38a b + 2a b + 10a )c +--R + +--R 6 5 2 4 4 2 5 6 +--R (- 6b + 46a b + 132a b - 44a b + 8a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 4 +--R (- 2b + 10a b + 78a b - 14a b - 82a b - 32a b )c +--R + +--R 10 9 2 8 3 7 4 6 5 5 2 +--R (- 2b - 12a b - 2a b - 12a b + 4a b + 24a b )c +--R * +--R 7 +--R cos(x) +--R + +--R 12 2 2 10 +--R 4c + (6b - 6a b - 16a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- 6b - 20a b + 64a b + 60a b + 8a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (- 14b - 34a b + 146a b + 214a b - 34a b - 54a b + 4a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 4 +--R (- 6b - 32a b + 36a b + 142a b - 72a b - 146a b - 48a b )c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 2 +--R (- 12a b - 30a b - 12a b - 30a b + 24a b + 60a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 12 2 2 10 +--R - 8c + (- 8b + 6a b + 18a )c +--R + +--R 4 3 2 2 3 4 8 +--R (6b - 28a b - 8a b + 88a b + 12a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (4b - 74a b - 118a b + 186a b + 166a b - 62a b - 22a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 2b - 40a b - 122a b + 58a b + 160a b - 106a b +--R + +--R 6 2 7 +--R - 126a b - 32a b +--R * +--R 4 +--R c +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 2 +--R (- 30a b - 40a b - 30a b - 40a b + 60a b + 80a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 12 2 2 10 +--R - 8c + (- 14b + 14a b + 24a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- 2b + 18a b - 50a b - 38a b + 22a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (6b - 6a b - 180a b - 200a b + 114a b + 76a b - 30a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R 2b - 10a b - 106a b - 202a b + 78a b + 144a b - 56a b +--R + +--R 7 8 +--R - 52a b - 8a +--R * +--R 4 +--R c +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 2 +--R (- 40a b - 30a b - 40a b - 30a b + 80a b + 60a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 12 2 2 10 +--R 4c + (8b + 2a b - 2a )c +--R + +--R 4 3 2 2 3 4 8 +--R (4b + 10a b - 26a b - 82a b - 16a )c +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (14a b - 42a b - 220a b - 142a b + 56a b + 22a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 8 4 +--R (6a b - 18a b - 138a b - 164a b + 96a b + 100a b - 8a )c +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 2 +--R (- 30a b - 12a b - 30a b - 12a b + 60a b + 24a b)c +--R * +--R 3 +--R cos(x) +--R + +--R 12 2 2 10 +--R 4c + (10b - 2a b - 8a )c +--R + +--R 4 3 2 2 3 4 8 +--R (8b - 4a b - 12a b - 28a b - 30a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (2b - 2a b + 2a b - 42a b - 114a b - 34a b + 24a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 4 +--R (6a b - 14a b - 88a b - 62a b + 70a b + 40a b + 6a )c +--R + +--R 5 5 6 4 7 3 8 2 9 10 2 +--R (- 12a b - 2a b - 12a b - 2a b + 24a b + 4a )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 10 3 2 2 3 4 8 +--R (2a b - 2a )c + (4a b - 4a b - 8a b - 6a )c +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (2a b - 2a b - 6a b - 10a b - 14a b - 2a )c +--R + +--R 3 5 4 4 5 3 6 2 7 8 4 +--R (2a b - 4a b - 22a b - 8a b + 20a b + 6a )c +--R + +--R 6 4 8 2 10 2 +--R (- 2a b - 2a b + 4a )c +--R * +--R cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 4 2 2 4 8 6 2 4 4 2 6 6 +--R (2b - 8a b + 6a )c + (4b - 14a b + 16a b - 6a )c +--R + +--R 8 2 6 4 4 6 2 4 +--R (2b - 6a b + 6a b - 2a b )c +--R * +--R 7 +--R sin(x) +--R + +--R 3 2 3 9 5 4 2 3 5 7 +--R (- 8b - 3a b + 3a )c + (- 16b + 3a b - 8a b - 3a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 5 +--R (- 8b + 15a b - 8a b - 21a b + 16a b + 6a b )c +--R + +--R 8 3 6 5 4 3 +--R (9a b - 18a b + 9a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 9 +--R (- 4b - 18a b + 8a b + 6a )c +--R + +--R 4 2 3 3 2 4 5 7 +--R (- 36a b - 2a b - 6a b + 2a b - 6a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 5 +--R (12b - 18a b - 16a b - 12a b + 14a b + 30a b - 10a b)c +--R + +--R 9 2 7 4 5 6 3 3 +--R (8b - 6a b - 12a b + 10a b )c +--R * +--R cos(x) +--R + +--R 3 2 2 3 9 +--R (- 2b - 3a b - 2a b + 7a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 4b + 2a b - 6a b - 12a b - 14a b + 10a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 7 5 +--R (- 2b + 13a b - 4a b - 34a b - 10a b + 38a b + 16a b - 17a )c +--R + +--R 8 3 6 5 4 7 2 3 +--R (8a b - 15a b + 6a b + a b )c +--R * +--R 6 +--R sin(x) +--R + +--R 2 2 10 4 3 2 2 3 4 8 +--R (12b + 3a b + 3a )c + (- 4b - 20a b + 9a b + 18a b - 3a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 44b - 34a b - 31a b + 58a b - 18a b - 21a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 4 +--R (- 28b + 4a b - 37a b + 10a b + 65a b - 14a b )c +--R + +--R 9 3 7 5 5 2 +--R (15a b - 30a b + 15a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 10 4 3 3 4 8 +--R (7b + 21a b + 2a )c + (- b - 59a b + 21a b + 23a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (- 19b - 181a b + a b - 56a b + 52a b - 42a b - 25a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 4 +--R (- 7b - 101a b + 36a b - 77a b + 3a b + 178a b - 32a b )c +--R + +--R 10 2 8 4 6 6 4 2 +--R (4b + 33a b - 78a b + 41a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 10 +--R (- 6b + 11a b + 5a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- 20b + 3a b - 82a b + 47a b + 20a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (- 22b - 19a b - 181a b + 53a b - 51a b - 25a b - 25a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - 8b - 3a b - 94a b + 27a b - 67a b + 9a b + 169a b +--R + +--R 7 +--R - 33a b +--R * +--R 4 +--R c +--R + +--R 9 3 7 5 5 7 3 2 +--R (8a b + 21a b - 66a b + 37a b )c +--R * +--R cos(x) +--R + +--R 2 2 10 4 3 2 2 3 4 8 +--R (b - 7a b + 4a )c + (2b - 22a b + 5a b - 20a b + 19a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (b - 23a b + a b - 41a b + 9a b - 29a b - 8a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 8 4 +--R (- 8a b + 4a b - 21a b - 5a b - 27a b + 16a b + 56a b - 15a )c +--R + +--R 2 8 4 6 6 4 8 2 2 +--R (4a b + 3a b - 18a b + 11a b )c +--R * +--R 5 +--R sin(x) +--R + +--R 11 3 2 2 9 +--R - 6b c + (24b + 13a b + 15a b)c +--R + +--R 5 4 2 3 3 2 4 7 +--R (28b + 5a b + 57a b - 11a b - 9a b)c +--R + +--R 7 6 2 5 3 4 4 3 5 2 5 +--R (- 40b - 23a b - 11a b + 46a b - 78a b - 2a b )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 3 +--R (- 38b - 9a b - 53a b + 45a b + 91a b - 36a b )c +--R + +--R 10 3 8 5 6 +--R (6a b - 12a b + 6a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 5b - 5a)c + (17b + 106a b + 23a b + 22a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (61b + 56a b - 22a b + 90a b + 26a b - 17a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 51b - 226a b - 109a b - 106a b + 186a b - 184a b +--R + +--R 6 +--R - 44a b +--R * +--R 5 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 12b - 171a b - 40a b - 174a b + 152a b + 345a b +--R + +--R 6 3 +--R - 124a b +--R * +--R 3 +--R c +--R + +--R 2 9 4 7 6 5 +--R (24a b - 48a b + 24a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (7b - 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65a b - 18a b - 22a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 4 +--R (25b - 118a b + 73a b + 25a b - 7a b - 312a b + 74a b )c +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 2 +--R (18b - 131a b + 29a b - 143a b + 53a b + 274a b - 100a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 12 2 2 10 +--R - 2c + (8b - 44a b - 18a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- 8b - 16a b + 226a b + 40a b + 48a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (- 48b + 148a b + 188a b + 158a b + 148a b - 32a b - 28a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 30b + 168a b - 330a b + 176a b - 74a b - 50a b +--R + +--R 6 2 7 +--R - 376a b + 36a b +--R * +--R 4 +--R c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 48a b - 274a b + 58a b - 262a b + 70a b + 536a b +--R + +--R 7 3 +--R - 176a b +--R * +--R 2 +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 12 2 2 10 +--R - 2c + (6b + 24a b - 28a )c +--R + +--R 4 3 2 2 3 4 8 +--R (52b - 14a b + 78a b + 158a b + 16a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (74b - 100a b + 318a b - 32a b + 206a b + 2a b + 18a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 26b - 62a b + 264a b - 476a b + 244a b - 88a b +--R + +--R 6 2 7 8 +--R - 200a b - 184a b - 4a +--R * +--R 4 +--R c +--R + +--R 10 2 8 3 7 4 6 5 5 6 4 +--R - 4b + 52a b - 286a b + 106a b - 238a b - 22a b +--R + +--R 7 3 8 2 +--R 524a b - 132a b +--R * +--R 2 +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 12 2 2 10 +--R c + (- 3b + 23a b + 9a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- b + 94a b - 62a b + 95a b + 9a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (11b + 111a b - 137a b + 267a b - 145a b + 101a b + 11a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R 8b + 32a b - 66a b + 204a b - 331a b + 112a b + 14a b +--R + +--R 7 8 +--R - 183a b - 30a +--R * +--R 4 +--R c +--R + +--R 9 3 7 4 6 5 5 6 4 7 3 +--R - 8a b + 32a b - 149a b + 89a b - 107a b - 77a b +--R + +--R 8 2 9 +--R 256a b - 36a b +--R * +--R 2 +--R c +--R * +--R cos(x) +--R + +--R 12 2 2 10 +--R c + (2b - 7a b + 14a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- b - 6a b + 53a b - 43a b + 20a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (- 4b + 9a b + 59a b - 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29a b - 47a b + 37a b + 64a b - 152a b + 90a b )c +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R (6b - 48a b + 60a b - 48a b - 30a b + 96a b - 36a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 3b + 6a)c + (20b - 37a b - 33a b + 27a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (32b - 46a b + 105a b - 66a b + 36a b + 18a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 7 5 +--R (- 8b + 67a b + 143a b - 190a b + 120a b + 54a b - 51a )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R - 17b + 94a b - 115a b + 41a b + 56a b - 4a b - 284a b +--R + +--R 7 2 +--R 139a b +--R * +--R 3 +--R c +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 24a b - 120a b + 138a b - 120a b - 78a b + 240a b +--R + +--R 7 4 +--R - 84a b +--R * +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (- 6b - 6a)c + (- 36b - 2a b - 86a b - 24a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 38b - 26a b + 24a b + 186a b - 72a b + 42a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R 8b - 70a b + 376a b + 156a b - 66a b + 36a b + 72a b +--R + +--R 7 +--R - 12a +--R * +--R 5 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 16b - 40a b + 302a b - 214a b + 130a b + 18a b +--R + +--R 6 3 7 2 8 +--R - 180a b - 244a b + 92a b +--R * +--R 3 +--R c +--R + +--R 2 9 3 8 4 7 5 6 6 5 7 4 +--R 36a b - 160a b + 192a b - 160a b - 132a b + 320a b +--R + +--R 8 3 +--R - 96a b +--R * +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R - 9a c + (- 20b - 17a b + 10a b - 44a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 36b + 36a b - 38a b + 131a b + 102a b - 16a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - 12b + 87a b - 82a b + 523a b + 22a b + 48a b - 18a b +--R + +--R 7 +--R 47a +--R * +--R 5 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 4b + 43a b - 34a b + 372a b - 248a b + 94a b + 12a b +--R + +--R 7 2 8 9 +--R - 261a b - 94a b + 22a +--R * +--R 3 +--R c +--R + +--R 3 8 4 7 5 6 6 5 7 4 8 3 +--R 24a b - 120a b + 168a b - 120a b - 138a b + 240a b +--R + +--R 9 2 +--R - 54a b +--R * +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (3b + 3a)c + (12b - 12a b + 29a b + 5a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (15b - 25a b + 99a b - 53a b + 107a b - a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R 6b - 2a b + 108a b - 74a b + 304a b - 34a b + 29a b +--R + +--R 7 +--R 5a +--R * +--R 5 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 8a b + 38a b - 16a b + 209a b - 157a b + 17a b + 33a b +--R + +--R 8 9 +--R - 156a b - 12a +--R * +--R 3 +--R c +--R + +--R 4 7 5 6 6 5 7 4 8 3 9 2 10 +--R (6a b - 48a b + 84a b - 48a b - 78a b + 96a b - 12a b)c +--R * +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (b + 4a)c + (4b + 11a b - 9a b + 17a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (5b + 10a b - 13a b + 50a b - 27a b + 16a )c +--R + +--R 7 6 3 4 4 3 5 2 6 7 5 +--R (2b + 3a b + 44a b - 34a b + 58a b + 3a b - 3a )c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 9 3 +--R (4a b + 11a b - 5a b + 46a b - 39a b - 5a b + 16a b - 34a )c +--R + +--R 6 5 7 4 8 3 9 2 10 +--R (- 8a b + 18a b - 8a b - 18a b + 16a b)c +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 10 4 3 2 2 3 4 8 +--R (b - 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57a b + 99a b + 159a b + 49a b - 48a b - 33a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R 4b + 15a b + 62a b - 171a b - 7a b + 6a b - 35a b +--R + +--R 7 +--R - 81a b +--R * +--R 4 +--R c +--R + +--R 10 9 2 8 3 7 5 5 6 4 +--R - 2b + 36a b - 27a b - 177a b + 117a b - 34a b +--R + +--R 7 3 +--R 87a b +--R * +--R 2 +--R c +--R + +--R 11 2 10 3 9 4 8 5 7 6 6 7 5 +--R 6a b - 21a b + 21a b - 21a b + 3a b + 42a b - 30a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 10 +--R (14b + 7a b + 2a )c +--R + +--R 4 3 2 2 3 4 8 +--R (22b + 4a b - 153a b - 45a b + 57a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (3b - 17a b - 218a b + 29a b + 70a b + 48a b - 30a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - 4b - 18a b + 67a b + 51a b - 166a b + 2a b + 62a b +--R + +--R 7 8 +--R - 10a b - 29a +--R * +--R 4 +--R c +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R b - 4a b + 145a b - 58a b - 186a b + 13a b + 48a b +--R + +--R 7 3 8 2 +--R - 56a b + 97a b +--R * +--R 2 +--R c +--R + +--R 2 10 3 9 4 8 5 7 6 6 7 5 8 4 +--R 15a b - 35a b + 35a b - 35a b - 10a b + 70a b - 40a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 10 4 3 2 2 3 4 8 +--R (13b + 5a b + a )c + (21b + 9a b - 50a b - 160a b - 35a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (3b + 8a b - 117a b - 199a b + 25a b + 11a b + 34a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - 5b + 9a b - 62a b + 197a b + 54a b - 51a b + 23a b +--R + +--R 7 +--R 90a b +--R * +--R 4 +--R c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 5a b + 4a b + 256a b - 77a b - 133a b + 12a b - 77a b +--R + +--R 8 2 9 +--R - 44a b + 54a b +--R * +--R 2 +--R c +--R + +--R 3 9 4 8 5 7 6 6 7 5 8 4 9 3 +--R 20a b - 35a b + 35a b - 35a b - 25a b + 70a b - 30a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 10 +--R (- 3b + 3a b - 3a )c +--R + +--R 4 3 2 2 3 4 8 +--R (- 6b - 4a b + 24a b - 23a b - 60a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 6 +--R (- 3b - 17a b + 69a b - 97a b - 33a b + 24a b + 12a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 10a b + 51a b - 58a b + 234a b + 53a b + 12a b +--R + +--R 7 8 +--R 12a b + 39a +--R * +--R 4 +--R c +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R 9a b + 16a b + 228a b - 72a b - 69a b + 9a b - 117a b +--R + +--R 9 10 +--R - 16a b + 12a +--R * +--R 2 +--R c +--R + +--R 4 8 5 7 6 6 7 5 8 4 9 3 10 2 +--R 15a b - 21a b + 21a b - 21a b - 24a b + 42a b - 12a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 10 4 3 2 2 3 4 8 +--R (- 2b + 3a b + 2a )c + (- 4b + 7a b - 3a b + 30a b - a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 2b + 5a b - 10a b + 77a b - 33a b + 36a b)c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 8 4 +--R (a b - 5a b + 54a b - 22a b + 122a b + 22a b - 2a b + a )c +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 +--R 7a b + 14a b + 100a b - 41a b - 21a b + 8a b - 65a b +--R + +--R 10 +--R - 2a +--R * +--R 2 +--R c +--R + +--R 5 7 6 6 7 5 8 4 9 3 10 2 11 +--R 6a b - 7a b + 7a b - 7a b - 11a b + 14a b - 2a b +--R * +--R cos(x) +--R + +--R 2 10 3 2 2 3 4 8 +--R (a b + 4a )c + (2a b + 9a b - 5a b + 9a )c +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (a b + 6a b - 5a b + 23a b - 4a b + 10a )c +--R + +--R 2 6 4 4 5 3 6 2 7 8 4 +--R (a b + 16a b - 4a b + 26a b + 3a b - 9a )c +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 10 2 6 6 +--R (2a b + 4a b + 17a b - 10a b - 2a b + 3a b - 14a )c + a b +--R + +--R 7 5 8 4 9 3 10 2 11 +--R - a b + a b - a b - 2a b + 2a b +--R * +--R sin(x) +--R + +--R 2 2 9 4 2 3 3 2 4 7 +--R (- 4a b - 3a b)c + (3a b + 3a b + 2a b + 3a b)c +--R + +--R 6 2 5 3 4 4 3 5 2 5 +--R (17a b + 15a b - 5a b - 6a b + 2a b )c +--R + +--R 8 2 7 3 6 4 5 5 4 3 10 3 8 5 6 +--R (9a b + 9a b - 8a b - 9a b - 4a b )c + (- a b - a b + 2a b )c +--R * +--R 8 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (2b + 2a)c + (b - 2a b - 12a b - 7a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 5b - 2a b + 27a b + 23a b + 6a b + 5a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 5 +--R (- 5b + 10a b + 88a b + 59a b - 24a b - 24a b + 4a b)c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 3 +--R (- b + 8a b + 43a b + 29a b - 44a b - 37a b - 16a b )c +--R + +--R 2 9 4 7 6 5 +--R (- 6a b - 6a b + 12a b )c +--R * +--R 7 +--R cos(x) +--R + +--R 11 3 2 2 3 9 +--R (2b + 2a)c + (b + 3a b - 8a b - 8a )c +--R + +--R 5 4 2 3 3 2 4 5 7 +--R (- 5b - 17a b + 6a b + 65a b + 37a b + 4a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 7 5 +--R (- 5b - 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41a b - 15a b + 28a b + 34a b + 10a b + 7a )c +--R + +--R 5 6 7 4 9 2 11 +--R (15a b + 14a b - 31a b + 2a )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 9 4 2 3 3 2 4 7 +--R (a b + 3a b)c + (2a b + 6a b - 4a b + 6a b)c +--R + +--R 6 2 5 3 4 4 3 5 2 6 5 +--R (a b + 3a b - 3a b + 15a b - 7a b + 3a b)c +--R + +--R 3 6 4 5 5 4 6 3 7 2 3 6 5 8 3 10 +--R (a b + 9a b - 11a b + 9a b + 10a b )c + (6a b + 6a b - 12a b)c +--R * +--R cos(x) +--R + +--R 3 9 3 2 5 7 3 4 5 2 7 5 5 4 7 2 9 3 +--R a c + (2a b + 3a )c + (a b + 5a b + a )c + (2a b + 4a b - 3a )c +--R + +--R 7 4 9 2 11 +--R (a b + a b - 2a )c +--R / +--R 4 3 2 2 10 +--R (8b - 16a b + 8a b )c +--R + +--R 6 5 3 3 4 2 8 +--R (16b - 32a b + 32a b - 16a b )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 6 +--R (8b - 16a b - 8a b + 32a b - 8a b - 16a b + 8a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 10 +--R (16a b - 32a b + 16a b)c +--R + +--R 5 2 4 4 2 5 8 +--R (32a b - 64a b + 64a b - 32a b)c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 16a b - 32a b - 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8b + 112a b - 200a b - 96a b + 408a b +--R + +--R 5 4 6 3 7 2 8 +--R - 144a b - 184a b + 128a b - 16a b +--R * +--R 5 +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 11 +--R (8b - 32a b + 16a b + 8a )c +--R + +--R 5 4 2 3 3 2 4 5 9 +--R (16b - 80a b + 144a b - 136a b + 80a b - 24a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 8b - 64a b + 256a b - 328a b - 56a b + 368a b +--R + +--R 6 7 +--R - 208a b + 24a +--R * +--R 7 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 16a b + 128a b - 184a b - 144a b + 408a b +--R + +--R 6 3 7 2 8 9 +--R - 96a b - 200a b + 112a b - 8a +--R * +--R 5 +--R c +--R * +--R cos(x) +--R + +--R 2 2 3 11 +--R (8a b - 24a b + 16a )c +--R + +--R 4 2 3 3 2 4 9 +--R (16a b - 56a b + 64a b - 24a b)c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 7 +--R (8a b - 40a b + 96a b - 80a b - 56a b + 120a b - 48a )c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R - 8a b + 48a b - 56a b - 64a b + 136a b - 16a b +--R + +--R 8 9 +--R - 72a b + 32a +--R * +--R 5 +--R c +--R * +--R 5 +--R sin(x) +--R + +--R 2 2 12 +--R (10b - 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520a b - 336a b + 392a b - 96a b +--R * +--R 4 +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 12 +--R (- 12b + 24a b - 12a )c +--R + +--R 4 3 3 4 10 +--R (4b - 104a b + 104a b - 4a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 44b - 376a b + 448a b - 232a b + 448a b - 376a b +--R + +--R 6 +--R 44a +--R * +--R 8 +--R c +--R + +--R 8 7 2 6 3 5 5 3 +--R 28b - 344a b + 928a b - 936a b + 936a b +--R + +--R 6 2 7 8 +--R - 928a b + 344a b - 28a +--R * +--R 6 +--R c +--R + +--R 9 2 8 3 7 4 6 5 5 +--R - 96a b + 492a b - 600a b - 492a b + 1392a b +--R + +--R 6 4 7 3 8 2 9 +--R - 492a b - 600a b + 492a b - 96a b +--R * +--R 4 +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 12 +--R (- 8b + 8a )c +--R + +--R 4 3 2 2 3 4 10 +--R (- 24b + 72a b - 192a b + 136a b + 8a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 24b + 144a b - 504a b + 520a b - 56a b - 8a b +--R + +--R 6 +--R - 72a +--R * +--R 8 +--R c +--R + +--R 8 7 2 6 3 5 4 4 +--R - 8b + 72a b - 400a b + 776a b - 400a b +--R + +--R 5 3 6 2 7 8 +--R - 456a b + 720a b - 392a b + 88a +--R * +--R 6 +--R c +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R - 96a b + 392a b - 336a b - 520a b + 928a b +--R + +--R 7 3 8 2 9 10 +--R - 136a b - 464a b + 264a b - 32a +--R * +--R 4 +--R c +--R * +--R cos(x) +--R + +--R 2 2 12 +--R (2b - 12a b + 10a )c +--R + +--R 4 3 2 2 3 4 10 +--R (4b - 32a b + 60a b - 72a b + 40a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 8 +--R (2b - 28a b + 94a b - 184a b + 128a b + 48a b - 60a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 8a b + 44a b - 144a b + 200a b - 16a b - 204a b +--R + +--R 7 8 +--R 168a b - 40a +--R * +--R 6 +--R c +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R - 32a b + 114a b - 68a b - 178a b + 232a b + 14a b +--R + +--R 9 10 +--R - 132a b + 50a +--R * +--R 4 +--R c +--R * +--R 4 +--R sin(x) +--R + +--R 13 3 2 2 3 11 +--R (- 2b + 2a)c + (30b - 38a b + 14a b - 6a )c +--R + +--R 5 4 2 3 3 2 4 5 9 +--R (- 20b + 68a b - 136a b + 104a b - 22a b + 6a )c +--R + +--R 7 6 2 5 3 4 4 3 +--R - 100b + 132a b + 68a b - 212a b + 198a b +--R + +--R 5 2 6 7 +--R - 94a b + 10a b - 2a +--R * +--R 7 +--R c +--R + +--R 9 8 2 7 3 6 4 5 +--R - 10b - 102a b + 280a b - 120a b - 178a b +--R + +--R 5 4 6 3 7 2 +--R 194a b - 92a b + 28a b +--R * +--R 5 +--R c +--R + +--R 11 10 2 9 3 8 4 7 +--R 38b - 126a b + 62a b + 202a b - 238a b +--R + +--R 5 6 6 5 7 4 +--R - 26a b + 138a b - 50a b +--R * +--R 3 +--R c +--R * +--R 5 +--R cos(x) +--R + +--R 13 3 2 2 3 11 +--R (- 2b + 2a)c + (22b + 42a b - 66a b + 2a )c +--R + +--R 5 4 2 3 3 2 4 5 9 +--R (28b - 236a b + 312a b - 288a b + 194a b - 10a )c +--R + +--R 7 6 2 5 3 4 4 3 +--R - 68b - 300a b + 292a b + 708a b - 922a b +--R + +--R 5 2 6 7 +--R 466a b - 182a b + 6a +--R * +--R 7 +--R c +--R + +--R 9 8 2 7 3 6 4 5 +--R - 122b + 266a b - 616a b + 1008a b - 106a b +--R + +--R 5 4 6 3 7 2 8 +--R - 1054a b + 788a b - 220a b + 56a b +--R * +--R 5 +--R c +--R + +--R 11 10 2 9 3 8 4 7 +--R - 50b + 290a b - 530a b + 10a b + 1010a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 890a b - 230a b + 590a b - 200a b +--R * +--R 3 +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 13 3 2 2 3 11 +--R (4b - 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230a b - 120a b +--R + +--R 6 6 7 5 8 4 10 2 +--R 242a b + 68a b - 30a b - 40a b +--R * +--R 3 +--R c +--R + +--R 2 12 3 11 4 10 5 9 6 8 7 7 +--R 42a b + 28a b - 196a b - 84a b + 336a b + 84a b +--R + +--R 8 6 9 5 10 4 +--R - 252a b - 28a b + 70a b +--R * +--R c +--R * +--R 5 +--R cos(x) +--R + +--R 4 3 3 4 11 +--R (2b - 14a b + 14a b - 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 9 +--R (6b - 22a b + 14a b + 4a b + 14a b - 22a b + 6a )c +--R + +--R 8 7 2 6 3 5 5 3 6 2 7 +--R 6b + 18a b + 48a b - 104a b + 104a b - 48a b - 18a b +--R + +--R 8 +--R - 6a +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R 2b + 46a b + 54a b - 94a b - 56a b + 96a b - 56a b +--R + +--R 7 3 8 2 9 10 +--R - 94a b + 54a b + 46a b + 2a +--R * +--R 5 +--R c +--R + +--R 11 2 10 3 9 4 8 5 7 7 5 +--R 20a b + 20a b + 70a b - 40a b - 310a b + 310a b +--R + +--R 8 4 9 3 10 2 11 +--R 40a b - 70a b - 20a b - 20a b +--R * +--R 3 +--R c +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R (70a b - 280a b + 420a b - 280a b + 70a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 4 3 2 2 3 4 11 +--R (2b + 4a b - 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138a b + 36a b + 60a b + 12a b +--R + +--R 9 10 +--R - 20a b + 8a +--R * +--R 5 +--R c +--R + +--R 3 9 4 8 5 7 6 6 7 5 8 4 9 3 +--R 40a b - 20a b - 18a b - 20a b - 102a b + 96a b + 98a b +--R + +--R 10 2 11 12 +--R - 52a b - 18a b - 4a +--R * +--R 3 +--R c +--R + +--R 5 9 6 8 7 7 8 6 9 5 10 4 +--R 42a b - 28a b - 140a b + 84a b + 168a b - 84a b +--R + +--R 11 3 12 2 13 +--R - 84a b + 28a b + 14a b +--R * +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 3 4 11 +--R (6a b - 4a b - 2a )c +--R + +--R 2 4 3 3 4 2 5 6 9 +--R (18a b - 12a b - 4a b - 4a b + 2a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 7 +--R (18a b - 12a b + 18a b - 24a b - 28a b + 24a b + 4a )c +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R 6a b - 4a b + 40a b - 36a b - 66a b + 48a b + 24a b +--R + +--R 9 10 +--R - 8a b - 4a +--R * +--R 5 +--R c +--R + +--R 4 8 5 7 6 6 7 5 8 4 9 3 10 2 +--R 20a b - 16a b - 22a b + 12a b - 18a b + 24a b + 22a b +--R + +--R 11 12 +--R - 20a b - 2a +--R * +--R 3 +--R c +--R + +--R 6 8 7 7 8 6 9 5 10 4 11 3 +--R 14a b - 12a b - 44a b + 36a b + 48a b - 36a b +--R + +--R 12 2 13 14 +--R - 20a b + 12a b + 2a +--R * +--R c +--R * +--R cos(x) +--R + +--R 3 4 11 3 3 4 2 5 6 9 +--R (2a b - 2a )c + (6a b - 6a b - 2a b + 2a )c +--R + +--R 3 5 4 4 7 8 7 +--R (6a b - 6a b - 4a b + 4a )c +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 10 5 +--R (2a b - 2a b + 6a b - 6a b - 12a b + 12a b + 4a b - 4a )c +--R + +--R 5 7 6 6 7 5 8 4 11 12 3 +--R (4a b - 4a b - 6a b + 6a b + 2a b - 2a )c +--R + +--R 7 7 8 6 9 5 10 4 11 3 12 2 13 14 +--R (2a b - 2a b - 6a b + 6a b + 6a b - 6a b - 2a b + 2a )c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 12 5 4 2 3 3 2 10 +--R (16b - 16a b )c + (48b - 48a b - 48a b + 48a b )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 8 +--R (48b - 48a b - 96a b + 96a b + 48a b - 48a b )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 16b - 16a b - 48a b + 48a b + 48a b - 48a b +--R + +--R 6 3 7 2 +--R - 16a b + 16a b +--R * +--R 6 +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 12 4 2 3 3 2 4 10 +--R (32a b - 32a b)c + (96a b - 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192a b +--R + +--R 6 4 7 3 +--R - 64a b + 64a b +--R * +--R 5 +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 13 +--R (- 16b - 48a b + 16a )c +--R + +--R 4 3 2 2 3 4 11 +--R (- 48b + 48a b - 96a b + 144a b - 48a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 48b + 432a b - 432a b - 288a b + 432a b - 144a b +--R + +--R 6 +--R 48a +--R * +--R 9 +--R c +--R + +--R 8 7 2 6 3 5 4 4 +--R - 16b + 528a b - 512a b - 1008a b + 1056a b +--R + +--R 5 3 6 2 7 8 +--R 432a b - 512a b + 48a b - 16a +--R * +--R 7 +--R c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 192a b - 192a b - 576a b + 576a b + 576a b - 576a b +--R + +--R 7 3 8 2 +--R - 192a b + 192a b +--R * +--R 5 +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 13 +--R (16b - 48a b - 16a )c +--R + +--R 4 3 2 2 3 4 11 +--R (48b - 144a b + 96a b - 48a b + 48a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 48b - 144a b + 432a b - 288a b - 432a b + 432a b +--R + +--R 6 +--R - 48a +--R * +--R 9 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 16b - 48a b + 512a b - 432a b - 1056a b + 1008a b +--R + +--R 6 2 7 8 +--R 512a b - 528a b + 16a +--R * +--R 7 +--R c +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 192a b - 192a b - 576a b + 576a b + 576a b - 576a b +--R + +--R 8 2 9 +--R - 192a b + 192a b +--R * +--R 5 +--R c +--R * +--R cos(x) +--R + +--R 2 13 3 2 2 3 4 11 +--R (16a b - 32a )c + (48a b - 96a b + 16a b + 32a )c +--R + +--R 5 2 4 3 3 5 6 9 +--R (48a b - 96a b + 96a b - 144a b + 96a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 16a b - 32a b + 144a b - 96a b - 336a b + 288a b +--R + +--R 7 8 +--R 176a b - 160a +--R * +--R 7 +--R c +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R 64a b - 64a b - 192a b + 192a b + 192a b - 192a b +--R + +--R 9 10 +--R - 64a b + 64a +--R * +--R 5 +--R c +--R * +--R 5 +--R sin(x) +--R + +--R 14 3 2 2 3 12 +--R (20b - 4a)c + (- 60b + 44a b - 60a b + 12a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (- 200b + 56a b + 240a b - 144a b + 60a b - 12a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 40b - 136a b + 360a b - 24a b - 300a b + 156a b +--R + +--R 6 7 +--R - 20a b + 4a +--R * +--R 8 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 180b - 244a b - 240a b + 432a b - 60a b - 132a b +--R + +--R 6 3 7 2 +--R 120a b - 56a b +--R * +--R 6 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 100b - 100a b - 300a b + 300a b + 300a b - 300a b +--R + +--R 6 5 7 4 +--R - 100a b + 100a b +--R * +--R 4 +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 14 3 2 2 3 12 +--R (16b + 16a)c + (- 16b - 256a b + 64a b - 48a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (- 144b - 464a b + 32a b + 816a b - 288a b + 48a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 176b + 304a b - 528a b + 576a b + 384a b - 864a b +--R + +--R 6 7 +--R 320a b - 16a +--R * +--R 8 +--R c +--R + +--R 9 8 2 7 3 6 4 5 +--R - 64b + 896a b - 896a b - 1488a b + 1872a b +--R + +--R 5 4 6 3 7 2 8 +--R 288a b - 800a b + 304a b - 112a b +--R * +--R 6 +--R c +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 400a b - 400a b - 1200a b + 1200a b + 1200a b +--R + +--R 6 5 7 4 8 3 +--R - 1200a b - 400a b + 400a b +--R * +--R 4 +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 14 3 2 2 3 12 +--R (- 24b + 24a)c + (- 16b - 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28a b - 84a b + 84a b + 84a b - 84a b +--R + +--R 7 7 8 6 +--R - 28a b + 28a b +--R * +--R c +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 13 +--R (24b - 24a b - 12a )c +--R + +--R 4 3 2 2 3 4 11 +--R (24b + 96a b + 144a b + 60a b + 36a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 64b + 256a b + 220a b - 316a b - 612a b - 36a b +--R + +--R 6 +--R - 36a +--R * +--R 9 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 96b - 48a b - 480a b - 288a b - 48a b + 264a b +--R + +--R 6 2 7 8 +--R 696a b - 12a b + 12a +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 +--R - 24b - 360a b - 900a b + 528a b + 1872a b +--R + +--R 5 5 6 4 7 3 8 2 9 +--R - 216a b - 696a b + 36a b - 252a b + 12a b +--R * +--R 5 +--R c +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R 8b - 176a b - 272a b + 356a b + 1020a b - 264a b +--R + +--R 6 6 7 5 8 4 9 3 +--R - 1256a b + 164a b + 500a b - 80a b +--R * +--R 3 +--R c +--R + +--R 2 12 3 11 4 10 5 9 6 8 +--R 84a b - 84a b - 252a b + 252a b + 252a b +--R + +--R 7 7 8 6 9 5 +--R - 252a b - 84a b + 84a b +--R * +--R c +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 13 +--R (24b + 48a b - 12a )c +--R + +--R 4 3 2 2 3 4 11 +--R (32b - 40a b + 156a b + 20a b + 32a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 48b - 368a b + 272a b + 116a b - 580a b - 348a b +--R + +--R 6 +--R - 24a +--R * +--R 9 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 96b - 384a b - 432a b - 448a b - 128a b + 528a b +--R + +--R 6 2 7 +--R 516a b + 444a b +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 +--R - 40b - 64a b - 996a b - 1024a b + 1664a b +--R + +--R 5 5 6 4 7 3 8 2 9 10 +--R 2496a b - 596a b - 1244a b - 36a b - 164a b + 4a +--R * +--R 5 +--R c +--R + +--R 11 2 10 3 9 4 8 5 7 +--R 40a b - 460a b - 340a b + 1040a b + 1200a b +--R + +--R 6 6 7 5 8 4 9 3 10 2 +--R - 780a b - 1540a b + 280a b + 640a b - 80a b +--R * +--R 3 +--R c +--R + +--R 3 11 4 10 5 9 6 8 7 7 +--R 140a b - 140a b - 420a b + 420a b + 420a b +--R + +--R 8 6 9 5 10 4 +--R - 420a b - 140a b + 140a b +--R * +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 13 +--R (- 12b + 48a b + 24a )c +--R + +--R 4 3 2 2 3 4 11 +--R (- 32b - 20a b - 156a b + 40a b - 32a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 24b - 348a b - 580a b + 116a b + 272a b - 368a b +--R + +--R 6 +--R - 48a +--R * +--R 9 +--R c +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 444a b - 516a b - 528a b + 128a b + 448a b +--R + +--R 6 2 7 8 +--R 432a b + 384a b + 96a +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 4b - 164a b - 36a b - 1244a b - 596a b + 2496a b +--R + +--R 6 4 7 3 8 2 9 10 +--R 1664a b - 1024a b - 996a b - 64a b - 40a +--R * +--R 5 +--R c +--R + +--R 2 10 3 9 4 8 5 7 6 6 +--R 80a b - 640a b - 280a b + 1540a b + 780a b +--R + +--R 7 5 8 4 9 3 10 2 11 +--R - 1200a b - 1040a b + 340a b + 460a b - 40a b +--R * +--R 3 +--R c +--R + +--R 4 10 5 9 6 8 7 7 8 6 +--R 140a b - 140a b - 420a b + 420a b + 420a b +--R + +--R 9 5 10 4 11 3 +--R - 420a b - 140a b + 140a b +--R * +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 13 +--R (- 12b - 24a b + 24a )c +--R + +--R 4 3 2 2 3 4 11 +--R (- 36b - 60a b - 144a b - 96a b - 24a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 36b - 36a b - 612a b - 316a b + 220a b + 256a b +--R + +--R 6 +--R - 64a +--R * +--R 9 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 12b + 12a b - 696a b - 264a b + 48a b + 288a b +--R + +--R 6 2 7 8 +--R 480a b + 48a b + 96a +--R * +--R 7 +--R c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 12a b - 252a b + 36a b - 696a b - 216a b + 1872a b +--R + +--R 7 3 8 2 9 10 +--R 528a b - 900a b - 360a b - 24a +--R * +--R 5 +--R c +--R + +--R 3 9 4 8 5 7 6 6 7 5 +--R 80a b - 500a b - 164a b + 1256a b + 264a b +--R + +--R 8 4 9 3 10 2 11 12 +--R - 1020a b - 356a b + 272a b + 176a b - 8a +--R * +--R 3 +--R c +--R + +--R 5 9 6 8 7 7 8 6 9 5 10 4 +--R 84a b - 84a b - 252a b + 252a b + 252a b - 252a b +--R + +--R 11 3 12 2 +--R - 84a b + 84a b +--R * +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 2 13 3 2 2 3 4 11 +--R (- 24a b - 12a )c + (- 72a b - 24a b - 100a b - 4a )c +--R + +--R 5 3 3 4 2 5 6 9 +--R (- 72a b - 372a b - 44a b + 236a b + 56a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 24a b + 24a b - 444a b - 36a b + 336a b + 64a b +--R + +--R 7 8 +--R 104a b - 24a +--R * +--R 7 +--R c +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R 12a b - 172a b + 44a b - 108a b - 84a b + 648a b +--R + +--R 8 2 9 10 +--R 72a b - 368a b - 44a +--R * +--R 5 +--R c +--R + +--R 4 8 5 7 6 6 7 5 8 4 9 3 +--R 40a b - 208a b - 64a b + 540a b + 36a b - 456a b +--R + +--R 10 2 11 12 +--R - 40a b + 124a b + 28a +--R * +--R 3 +--R c +--R + +--R 6 8 7 7 8 6 9 5 10 4 11 3 +--R 28a b - 28a b - 84a b + 84a b + 84a b - 84a b +--R + +--R 12 2 13 +--R - 28a b + 28a b +--R * +--R c +--R * +--R cos(x) +--R + +--R 2 13 2 2 3 4 11 +--R - 12a c + (- 36a b + 4a b - 8a )c +--R + +--R 2 4 3 3 4 2 5 6 9 +--R (- 36a b + 12a b - 60a b - 4a b + 60a )c +--R + +--R 2 6 3 5 4 4 6 2 7 8 7 +--R (- 12a b + 12a b - 96a b + 120a b - 8a b - 16a )c +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 +--R 4a b - 44a b + 12a b + 24a b - 24a b + 72a b + 8a b +--R + +--R 10 +--R - 52a +--R * +--R 5 +--R c +--R + +--R 5 7 6 6 7 5 8 4 10 2 11 12 3 +--R (8a b - 36a b - 12a b + 96a b - 84a b + 4a b + 24a )c +--R + +--R 7 7 8 6 9 5 10 4 11 3 12 2 13 +--R 4a b - 4a b - 12a b + 12a b + 12a b - 12a b - 4a b +--R + +--R 14 +--R 4a +--R * +--R c +--R * +--R sin(x) +--R + +--R 3 12 5 2 3 10 7 4 3 8 +--R - 4b c + (- 4b + 12a b )c + (8b - 12a b )c +--R + +--R 9 2 7 4 5 6 3 6 11 4 7 6 5 4 +--R (8b - 24a b + 12a b + 4a b )c + (- 4b + 12a b - 8a b )c +--R + +--R 13 2 11 4 9 6 7 2 +--R (- 4b + 12a b - 12a b + 4a b )c +--R * +--R 8 +--R cos(x) +--R + +--R 3 2 12 5 4 2 3 3 2 10 +--R (- 4b - 12a b )c + (- 4b + 4a b + 12a b + 36a b )c +--R + +--R 7 6 3 4 4 3 5 2 8 +--R (8b + 56a b - 48a b - 12a b - 36a b )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 8b + 24a b - 24a b - 120a b + 12a b + 84a b + 4a b +--R + +--R 7 2 +--R 12a b +--R * +--R 6 +--R c +--R + +--R 11 10 3 8 4 7 5 6 6 5 7 4 4 +--R (- 4b - 44a b + 48a b + 12a b + 36a b - 8a b - 40a b )c +--R + +--R 13 12 2 11 3 10 4 9 5 8 +--R - 4b - 28a b + 12a b + 84a b - 12a b - 84a b +--R + +--R 6 7 7 6 +--R 4a b + 28a b +--R * +--R 2 +--R c +--R * +--R 7 +--R cos(x) +--R + +--R 3 2 2 12 +--R (8b - 12a b - 12a b)c +--R + +--R 5 4 2 3 3 2 4 10 +--R (16b + 4a b + 20a b + 36a b + 36a b)c +--R + +--R 6 2 5 3 4 4 3 5 2 6 8 +--R (56a b + 96a b - 48a b - 144a b - 36a b - 36a b)c +--R + +--R 9 8 3 6 4 5 5 4 6 3 +--R - 16b + 24a b - 120a b - 192a b + 84a b + 196a b +--R + +--R 7 2 8 +--R 12a b + 12a b +--R * +--R 6 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 8b - 44a b - 148a b + 48a b + 240a b + 36a b +--R + +--R 6 5 7 4 8 3 +--R - 4a b - 40a b - 80a b +--R * +--R 4 +--R c +--R + +--R 12 2 11 3 10 4 9 5 8 6 7 +--R - 28a b - 84a b + 84a b + 252a b - 84a b - 252a b +--R + +--R 7 6 8 5 +--R 28a b + 84a b +--R * +--R 2 +--R c +--R * +--R 6 +--R cos(x) +--R + +--R 3 2 2 3 12 +--R (8b + 24a b - 12a b - 4a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (16b + 32a b + 20a b - 4a b + 36a b + 12a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 8 +--R (- 48a b + 96a b + 64a b - 144a b - 144a b - 36a b - 12a )c +--R + +--R 9 8 3 6 4 5 5 4 6 3 +--R - 16b - 96a b - 16a b - 192a b - 96a b + 196a b +--R + +--R 7 2 8 9 +--R 204a b + 12a b + 4a +--R * +--R 6 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 8b - 40a b - 148a b - 220a b + 240a b + 480a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 4a b - 140a b - 80a b - 80a b +--R * +--R 4 +--R c +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 +--R - 84a b - 140a b + 252a b + 420a b - 252a b - 420a b +--R + +--R 8 5 9 4 +--R 84a b + 140a b +--R * +--R 2 +--R c +--R * +--R 5 +--R cos(x) +--R + +--R 3 2 2 3 12 +--R (- 4b + 24a b + 24a b - 4a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (- 12b + 32a b + 4a b - 4a b - 32a b + 12a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - 12b - 48a b - 144a b + 64a b + 64a b - 144a b - 48a b +--R + +--R 7 +--R - 12a +--R * +--R 8 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R - 4b - 96a b - 204a b - 16a b + 96a b - 96a b + 16a b +--R + +--R 7 2 8 9 +--R 204a b + 96a b + 4a +--R * +--R 6 +--R c +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R - 40a b - 80a b - 220a b - 140a b + 480a b + 480a b +--R + +--R 7 4 8 3 9 2 10 +--R - 140a b - 220a b - 80a b - 40a b +--R * +--R 4 +--R c +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R - 140a b - 140a b + 420a b + 420a b - 420a b - 420a b +--R + +--R 9 4 10 3 +--R 140a b + 140a b +--R * +--R 2 +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 2 3 12 +--R (- 4b - 12a b + 24a b + 8a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (- 12b - 36a b + 4a b - 20a b - 32a b - 16a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 8 +--R (- 12b - 36a b - 144a b - 144a b + 64a b + 96a b - 48a b)c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 4b - 12a b - 204a b - 196a b + 96a b + 192a b +--R + +--R 6 3 8 9 +--R 16a b + 96a b + 16a +--R * +--R 6 +--R c +--R + +--R 2 9 3 8 4 7 5 6 6 5 7 4 +--R - 80a b - 80a b - 140a b - 4a b + 480a b + 240a b +--R + +--R 8 3 9 2 10 11 +--R - 220a b - 148a b - 40a b - 8a +--R * +--R 4 +--R c +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 140a b - 84a b + 420a b + 252a b - 420a b - 252a b +--R + +--R 10 3 11 2 +--R 140a b + 84a b +--R * +--R 2 +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 3 12 +--R (- 12a b - 12a b + 8a )c +--R + +--R 4 2 3 3 2 4 5 10 +--R (- 36a b - 36a b - 20a b - 4a b - 16a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 8 +--R (- 36a b - 36a b - 144a b - 48a b + 96a b + 56a b)c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R - 12a b - 12a b - 196a b - 84a b + 192a b + 120a b +--R + +--R 8 9 +--R - 24a b + 16a +--R * +--R 6 +--R c +--R + +--R 3 8 4 7 5 6 6 5 7 4 8 3 +--R - 80a b - 40a b - 4a b + 36a b + 240a b + 48a b +--R + +--R 9 2 10 11 +--R - 148a b - 44a b - 8a +--R * +--R 4 +--R c +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R - 84a b - 28a b + 252a b + 84a b - 252a b - 84a b +--R + +--R 11 2 12 +--R 84a b + 28a b +--R * +--R 2 +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 2 3 12 2 3 3 2 4 5 10 +--R (- 12a b - 4a )c + (- 36a b - 12a b - 4a b + 4a )c +--R + +--R 2 5 3 4 4 3 6 7 8 +--R (- 36a b - 12a b - 48a b + 56a b + 8a )c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R - 12a b - 4a b - 84a b - 12a b + 120a b + 24a b - 24a b +--R + +--R 9 +--R - 8a +--R * +--R 6 +--R c +--R + +--R 4 7 5 6 6 5 7 4 8 3 10 11 4 +--R (- 40a b - 8a b + 36a b + 12a b + 48a b - 44a b - 4a )c +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 +--R - 28a b - 4a b + 84a b + 12a b - 84a b - 12a b +--R + +--R 12 13 +--R 28a b + 4a +--R * +--R 2 +--R c +--R * +--R cos(x) +--R + +--R 3 12 3 2 5 10 3 4 7 8 +--R - 4a c + (- 12a b + 4a )c + (- 12a b + 8a )c +--R + +--R 3 6 5 4 7 2 9 6 5 6 7 4 11 4 +--R (- 4a b - 12a b + 24a b - 8a )c + (- 8a b + 12a b - 4a )c +--R + +--R 7 6 9 4 11 2 13 2 +--R (- 4a b + 12a b - 12a b + 4a )c +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 4 2 2 11 6 2 4 4 2 9 +--R (8b - 8a b )c + (24b - 48a b + 24a b )c +--R + +--R 8 2 6 4 4 6 2 7 +--R (24b - 72a b + 72a b - 24a b )c +--R + +--R 10 2 8 4 6 6 4 8 2 5 +--R (8b - 32a b + 48a b - 32a b + 8a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 3 11 5 3 3 5 9 +--R (16a b - 16a b)c + (48a b - 96a b + 48a b)c +--R + +--R 7 3 5 5 3 7 7 +--R (48a b - 144a b + 144a b - 48a b)c +--R + +--R 9 3 7 5 5 7 3 9 5 +--R (16a b - 64a b + 96a b - 64a b + 16a b)c +--R * +--R cos(x) +--R + +--R 2 2 4 11 2 4 4 2 6 9 +--R (8a b - 8a )c + (24a b - 48a b + 24a )c +--R + +--R 2 6 4 4 6 2 8 7 +--R (24a b - 72a b + 72a b - 24a )c +--R + +--R 2 8 4 6 6 4 8 2 10 5 +--R (8a b - 32a b + 48a b - 32a b + 8a )c +--R * +--R 6 +--R sin(x) +--R + +--R 3 2 2 12 +--R (- 16b - 8a b + 8a b)c +--R + +--R 5 4 2 3 3 2 4 10 +--R (- 16b - 24a b + 40a b + 24a b - 24a b)c +--R + +--R 7 6 2 5 3 4 5 2 6 8 +--R (48b - 24a b - 72a b + 48a b - 24a b + 24a b)c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 80b - 8a b - 232a b + 24a b + 216a b - 24a b - 56a b +--R + +--R 7 2 8 +--R 8a b - 8a b +--R * +--R 6 +--R c +--R + +--R 11 2 9 4 7 6 5 8 3 4 +--R (32b - 128a b + 192a b - 128a b + 32a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 3 2 2 3 12 +--R (- 8b - 32a b - 16a b + 8a )c +--R + +--R 5 2 3 3 2 4 5 10 +--R (- 24b - 24a b + 24a b + 48a b - 24a )c +--R + +--R 7 6 3 4 4 3 5 2 6 7 8 +--R (- 24b + 192a b - 360a b + 72a b + 144a b - 48a b + 24a )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R - 8b + 256a b + 8a b - 760a b + 24a b + 744a b - 40a b +--R + +--R 7 2 8 9 +--R - 232a b + 16a b - 8a +--R * +--R 6 +--R c +--R + +--R 10 3 8 5 6 7 4 9 2 4 +--R (96a b - 384a b + 576a b - 384a b + 96a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 12 +--R (8b - 16a b - 32a b - 8a )c +--R + +--R 5 4 2 3 3 2 5 10 +--R (24b - 48a b - 24a b + 24a b + 24a )c +--R + +--R 7 6 2 5 3 4 4 3 6 7 8 +--R (24b - 48a b + 144a b + 72a b - 360a b + 192a b - 24a )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 8b - 16a b + 232a b + 40a b - 744a b - 24a b + 760a b +--R + +--R 7 2 8 9 +--R - 8a b - 256a b + 8a +--R * +--R 6 +--R c +--R + +--R 2 9 4 7 6 5 8 3 10 4 +--R (96a b - 384a b + 576a b - 384a b + 96a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 12 +--R (8a b - 8a b - 16a )c +--R + +--R 4 2 3 3 2 4 5 10 +--R (24a b - 24a b - 40a b + 24a b + 16a )c +--R + +--R 6 2 5 4 3 5 2 6 7 8 +--R (24a b - 24a b + 48a b - 72a b - 24a b + 48a )c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 8a b - 8a b + 56a b + 24a b - 216a b - 24a b + 232a b +--R + +--R 8 9 +--R 8a b - 80a +--R * +--R 6 +--R c +--R + +--R 3 8 5 6 7 4 9 2 11 4 +--R (32a b - 128a b + 192a b - 128a b + 32a )c +--R * +--R 5 +--R sin(x) +--R + +--R 2 2 13 +--R (10b + 8a b - 2a )c +--R + +--R 4 3 2 2 3 4 11 +--R (- 30b - 8a b - 8a b - 24a b + 6a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 9 +--R (- 100b - 72a b + 148a b + 48a b - 42a b + 24a b - 6a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 20b - 88a b + 112a b + 168a b - 162a b - 72a b +--R + +--R 6 2 7 8 +--R 68a b - 8a b + 2a +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R 90b - 32a b - 242a b + 96a b + 186a b - 96a b - 6a b +--R + +--R 7 3 8 2 +--R 32a b - 28a b +--R * +--R 5 +--R c +--R + +--R 12 2 10 4 8 6 6 8 4 3 +--R (50b - 200a b + 300a b - 200a b + 50a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 13 +--R (8b + 16a b + 8a )c +--R + +--R 4 3 2 2 3 4 11 +--R (- 8b - 136a b - 96a b + 8a b - 24a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 72b - 304a b - 216a b + 424a b + 264a b - 120a b +--R + +--R 6 +--R 24a +--R * +--R 9 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 88b + 64a b - 112a b + 24a b + 480a b - 240a b +--R + +--R 6 2 7 8 +--R - 272a b + 152a b - 8a +--R * +--R 7 +--R c +--R + +--R 10 9 3 7 4 6 5 5 6 4 +--R - 32b + 416a b - 1192a b + 192a b + 1080a b - 256a b +--R + +--R 7 3 8 2 9 +--R - 248a b + 96a b - 56a b +--R * +--R 5 +--R c +--R + +--R 11 3 9 5 7 7 5 9 3 3 +--R (200a b - 800a b + 1200a b - 800a b + 200a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 13 4 3 2 2 3 4 11 +--R (- 12b + 12a )c + (- 8b - 96a b - 176a b - 96a b - 8a )c +--R + +--R 6 5 2 4 4 2 5 6 9 +--R (48b - 288a b - 420a b + 420a b + 288a b - 48a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 72b - 288a b + 36a b + 288a b - 216a b + 288a b +--R + +--R 6 2 7 8 +--R 36a b - 288a b + 72a +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 6 4 +--R 28b - 96a b + 568a b + 192a b - 1844a b + 1844a b +--R + +--R 7 3 8 2 9 10 +--R - 192a b - 568a b + 96a b - 28a +--R * +--R 5 +--R c +--R + +--R 2 10 4 8 6 6 8 4 10 2 3 +--R (300a b - 1200a b + 1800a b - 1200a b + 300a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 13 +--R (- 8b - 16a b - 8a )c +--R + +--R 4 3 2 2 3 4 11 +--R (- 24b + 8a b - 96a b - 136a b - 8a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 24b + 120a b - 264a b - 424a b + 216a b + 304a b +--R + +--R 6 +--R 72a +--R * +--R 9 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 8b + 152a b - 272a b - 240a b + 480a b + 24a b +--R + +--R 6 2 7 8 +--R - 112a b + 64a b - 88a +--R * +--R 7 +--R c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 56a b - 96a b + 248a b + 256a b - 1080a b - 192a b +--R + +--R 7 3 9 10 +--R 1192a b - 416a b + 32a +--R * +--R 5 +--R c +--R + +--R 3 9 5 7 7 5 9 3 11 3 +--R (200a b - 800a b + 1200a b - 800a b + 200a b)c +--R * +--R cos(x) +--R + +--R 2 2 13 4 3 2 2 3 4 11 +--R (2b - 8a b - 10a )c + (6b - 24a b - 8a b - 8a b - 30a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 9 +--R (6b - 24a b + 42a b - 48a b - 148a b + 72a b + 100a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R 2b - 8a b + 68a b - 72a b - 162a b + 168a b + 112a b +--R + +--R 7 8 +--R - 88a b - 20a +--R * +--R 7 +--R c +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R 28a b - 32a b + 6a b + 96a b - 186a b - 96a b + 242a b +--R + +--R 9 10 +--R 32a b - 90a +--R * +--R 5 +--R c +--R + +--R 4 8 6 6 8 4 10 2 12 3 +--R (50a b - 200a b + 300a b - 200a b + 50a )c +--R * +--R 4 +--R sin(x) +--R + +--R 14 3 2 3 12 +--R (- 2b - 2a)c + (28b + 22a b + 6a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (10b + 28a b - 72a b - 72a b + 12a b - 6a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - 120b - 68a b + 112a b - 12a b + 24a b + 78a b - 16a b +--R + +--R 7 +--R 2a +--R * +--R 8 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 110b - 122a b + 288a b + 216a b - 240a b - 66a b +--R + +--R 6 3 7 2 8 +--R 56a b - 28a b + 6a b +--R * +--R 6 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 28b - 50a b - 48a b + 150a b - 24a b - 150a b +--R + +--R 6 5 7 4 8 3 +--R 80a b + 50a b - 36a b +--R * +--R 4 +--R c +--R + +--R 13 2 11 4 9 6 7 8 5 2 +--R (38b - 152a b + 228a b - 152a b + 38a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 14 3 2 2 12 +--R (- 2b - 2a)c + (22b + 84a b + 62a b)c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (28b - 94a b - 104a b - 168a b - 174a b + 12a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 68b - 616a b - 444a b + 656a b + 342a b - 24a b +--R + +--R 6 7 +--R 170a b - 16a +--R * +--R 8 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 122b - 414a b - 328a b + 1056a b + 966a b - 864a b +--R + +--R 6 3 7 2 8 9 +--R - 460a b + 216a b - 56a b + 6a +--R * +--R 6 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 50b + 212a b - 50a b - 528a b + 450a b + 312a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 550a b + 112a b + 200a b - 108a b +--R * +--R 4 +--R c +--R + +--R 12 3 10 5 8 7 6 9 4 2 +--R (190a b - 760a b + 1140a b - 760a b + 190a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 14 3 2 2 3 12 +--R (4b + 4a)c + (- 28b + 40a b + 84a b + 16a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (- 72b - 104a b - 260a b - 324a b - 168a b - 72a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 8b - 512a b - 1144a b - 396a b + 1192a b + 828a b +--R + +--R 6 7 +--R - 40a b + 80a +--R * +--R 8 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 68b - 572a b - 792a b + 244a b + 1608a b + 1200a b +--R + +--R 6 3 7 2 8 9 +--R - 1112a b - 844a b + 228a b - 28a +--R * +--R 6 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 36b - 200a b + 388a b + 300a b - 1272a b + 300a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 1128a b - 700a b - 172a b + 300a b - 108a b +--R * +--R 4 +--R c +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 +--R (380a b - 1520a b + 2280a b - 1520a b + 380a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 14 3 2 2 3 12 +--R (4b + 4a)c + (- 16b - 84a b - 40a b + 28a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (- 72b - 168a b - 324a b - 260a b - 104a b - 72a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 80b + 40a b - 828a b - 1192a b + 396a b + 1144a b +--R + +--R 6 7 +--R 512a b + 8a +--R * +--R 8 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 28b + 228a b - 844a b - 1112a b + 1200a b + 1608a b +--R + +--R 6 3 7 2 8 9 +--R 244a b - 792a b - 572a b + 68a +--R * +--R 6 +--R c +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 108a b - 300a b + 172a b + 700a b - 1128a b - 300a b +--R + +--R 7 4 8 3 9 2 10 11 +--R 1272a b - 300a b - 388a b + 200a b - 36a +--R * +--R 4 +--R c +--R + +--R 3 10 5 8 7 6 9 4 11 2 2 +--R (380a b - 1520a b + 2280a b - 1520a b + 380a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 14 2 2 3 12 +--R (- 2b - 2a)c + (- 62a b - 84a b - 22a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (12b - 174a b - 168a b - 104a b - 94a b + 28a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 16b - 170a b + 24a b - 342a b - 656a b + 444a b +--R + +--R 6 7 +--R 616a b + 68a +--R * +--R 8 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 6b - 56a b + 216a b - 460a b - 864a b + 966a b +--R + +--R 6 3 7 2 8 9 +--R 1056a b - 328a b - 414a b - 122a +--R * +--R 6 +--R c +--R + +--R 2 9 3 8 4 7 5 6 6 5 7 4 +--R 108a b - 200a b - 112a b + 550a b - 312a b - 450a b +--R + +--R 8 3 9 2 10 11 +--R 528a b + 50a b - 212a b + 50a +--R * +--R 4 +--R c +--R + +--R 4 9 6 7 8 5 10 3 12 2 +--R (190a b - 760a b + 1140a b - 760a b + 190a b)c +--R * +--R cos(x) +--R + +--R 14 3 2 3 12 +--R (- 2b - 2a)c + (- 6b - 22a b - 28a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (- 6b + 12a b - 72a b - 72a b + 28a b + 10a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - 2b + 16a b - 78a b - 24a b + 12a b - 112a b + 68a b +--R + +--R 7 +--R 120a +--R * +--R 8 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 6a b - 28a b + 56a b - 66a b - 240a b + 216a b + 288a b +--R + +--R 8 9 +--R - 122a b - 110a +--R * +--R 6 +--R c +--R + +--R 3 8 4 7 5 6 6 5 7 4 8 3 9 2 +--R 36a b - 50a b - 80a b + 150a b + 24a b - 150a b + 48a b +--R + +--R 10 11 +--R 50a b - 28a +--R * +--R 4 +--R c +--R + +--R 5 8 7 6 9 4 11 2 13 2 +--R (38a b - 152a b + 228a b - 152a b + 38a )c +--R * +--R 3 +--R sin(x) +--R + +--R 2 13 4 3 2 2 3 11 +--R (- 6b - 6a b)c + (24b + 18a b + 12a b + 18a b)c +--R + +--R 6 5 2 4 3 3 5 9 +--R (50b + 52a b - 88a b - 72a b - 18a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - 40b - 12a b - 32a b - 84a b + 84a b + 90a b - 12a b +--R + +--R 7 +--R 6a b +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R - 90b - 78a b + 192a b + 120a b - 108a b - 6a b +--R + +--R 7 3 8 2 +--R - 36a b + 6a b +--R * +--R 5 +--R c +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R - 16b - 38a b + 68a b + 114a b - 108a b - 114a b +--R + +--R 6 6 7 5 8 4 +--R 76a b + 38a b - 20a b +--R * +--R 3 +--R c +--R + +--R 14 2 12 4 10 6 8 8 6 +--R (14b - 56a b + 84a b - 56a b + 14a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 13 +--R (- 6b - 12a b - 6a )c +--R + +--R 4 3 2 2 3 4 11 +--R (18b + 120a b + 108a b + 24a b + 18a )c +--R + +--R 6 5 2 4 3 3 4 2 6 9 +--R (52b + 124a b + 44a b - 352a b - 306a b - 18a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 12b - 384a b - 336a b + 144a b + 30a b + 264a b +--R + +--R 6 2 7 8 +--R 312a b - 24a b + 6a +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R - 78b - 516a b - 342a b + 1104a b + 810a b - 648a b +--R + +--R 6 4 7 3 8 2 9 +--R - 282a b + 48a b - 108a b + 12a b +--R * +--R 5 +--R c +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R - 38b - 56a b - 76a b + 248a b + 456a b - 408a b +--R + +--R 6 6 7 5 8 4 9 3 +--R - 532a b + 296a b + 190a b - 80a b +--R * +--R 3 +--R c +--R + +--R 13 3 11 5 9 7 7 9 5 +--R (84a b - 336a b + 504a b - 336a b + 84a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 13 +--R (12b + 6a b - 6a )c +--R + +--R 4 3 2 2 3 4 11 +--R (- 12b + 90a b + 180a b + 90a b + 12a )c +--R + +--R 6 5 2 4 3 3 4 2 5 9 +--R (- 88b + 44a b + 46a b - 308a b - 528a b - 306a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 72b - 348a b - 1032a b - 696a b + 768a b + 726a b +--R + +--R 6 2 7 8 +--R 348a b + 318a b - 12a +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 12b - 498a b - 1242a b - 108a b + 2568a b + 1602a b +--R + +--R 6 4 7 3 8 2 9 10 +--R - 1452a b - 888a b + 108a b - 108a b + 6a +--R * +--R 5 +--R c +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R 20b - 190a b - 140a b + 190a b + 420a b + 570a b +--R + +--R 6 6 7 5 8 4 9 3 10 2 +--R - 620a b - 950a b + 440a b + 380a b - 120a b +--R * +--R 3 +--R c +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R (210a b - 840a b + 1260a b - 840a b + 210a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 13 3 3 11 +--R (12b + 24a b + 12a )c + (- 96a b + 96a b)c +--R + +--R 6 5 2 4 3 3 4 2 5 6 9 +--R (- 72b - 352a b - 308a b - 56a b - 308a b - 352a b - 72a )c +--R + +--R 8 7 2 6 3 5 5 3 6 2 +--R - 96b - 240a b - 948a b - 1280a b + 1280a b + 948a b +--R + +--R 7 8 +--R 240a b + 96a +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R - 36b + 72a b - 1032a b - 1728a b + 1068a b + 3312a b +--R + +--R 6 4 7 3 8 2 9 10 +--R 1068a b - 1728a b - 1032a b + 72a b - 36a +--R * +--R 5 +--R c +--R + +--R 11 2 10 3 9 4 8 5 7 7 5 +--R 80a b - 380a b - 320a b + 760a b + 560a b - 560a b +--R + +--R 8 4 9 3 10 2 11 +--R - 760a b + 320a b + 380a b - 80a b +--R * +--R 3 +--R c +--R + +--R 3 11 5 9 7 7 9 5 11 3 +--R (280a b - 1120a b + 1680a b - 1120a b + 280a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 13 +--R (- 6b + 6a b + 12a )c +--R + +--R 4 3 2 2 3 4 11 +--R (- 12b - 90a b - 180a b - 90a b + 12a )c +--R + +--R 5 2 4 3 3 4 2 5 6 9 +--R (- 306a b - 528a b - 308a b + 46a b + 44a b - 88a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 12b - 318a b - 348a b - 726a b - 768a b + 696a b +--R + +--R 6 2 7 8 +--R 1032a b + 348a b + 72a +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 6b - 108a b + 108a b - 888a b - 1452a b + 1602a b +--R + +--R 6 4 7 3 8 2 9 10 +--R 2568a b - 108a b - 1242a b - 498a b + 12a +--R * +--R 5 +--R c +--R + +--R 2 10 3 9 4 8 5 7 6 6 7 5 +--R 120a b - 380a b - 440a b + 950a b + 620a b - 570a b +--R + +--R 8 4 9 3 10 2 11 12 +--R - 420a b - 190a b + 140a b + 190a b - 20a +--R * +--R 3 +--R c +--R + +--R 4 10 6 8 8 6 10 4 12 2 +--R (210a b - 840a b + 1260a b - 840a b + 210a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 13 +--R (- 6b - 12a b - 6a )c +--R + +--R 4 3 2 2 3 4 11 +--R (- 18b - 24a b - 108a b - 120a b - 18a )c +--R + +--R 6 2 4 3 3 4 2 5 6 9 +--R (- 18b - 306a b - 352a b + 44a b + 124a b + 52a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 6b + 24a b - 312a b - 264a b - 30a b - 144a b +--R + +--R 6 2 7 8 +--R 336a b + 384a b + 12a +--R * +--R 7 +--R c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 12a b - 108a b + 48a b - 282a b - 648a b + 810a b +--R + +--R 7 3 8 2 9 10 +--R 1104a b - 342a b - 516a b - 78a +--R * +--R 5 +--R c +--R + +--R 3 9 4 8 5 7 6 6 7 5 8 4 +--R 80a b - 190a b - 296a b + 532a b + 408a b - 456a b +--R + +--R 9 3 10 2 11 12 +--R - 248a b + 76a b + 56a b + 38a +--R * +--R 3 +--R c +--R + +--R 5 9 7 7 9 5 11 3 13 +--R (84a b - 336a b + 504a b - 336a b + 84a b)c +--R * +--R cos(x) +--R + +--R 2 13 3 2 2 3 4 11 +--R (- 6a b - 6a )c + (- 18a b - 12a b - 18a b - 24a )c +--R + +--R 5 3 3 4 2 5 6 9 +--R (- 18a b - 72a b - 88a b + 52a b + 50a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R - 6a b + 12a b - 90a b - 84a b + 84a b + 32a b + 12a b +--R + +--R 8 +--R 40a +--R * +--R 7 +--R c +--R + +--R 2 8 3 7 5 5 6 4 7 3 8 2 9 +--R 6a b - 36a b - 6a b - 108a b + 120a b + 192a b - 78a b +--R + +--R 10 +--R - 90a +--R * +--R 5 +--R c +--R + +--R 4 8 5 7 6 6 7 5 8 4 9 3 10 2 +--R 20a b - 38a b - 76a b + 114a b + 108a b - 114a b - 68a b +--R + +--R 11 12 +--R 38a b + 16a +--R * +--R 3 +--R c +--R + +--R 6 8 8 6 10 4 12 2 14 +--R (14a b - 56a b + 84a b - 56a b + 14a )c +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 12 5 4 2 3 3 2 10 +--R (- 6b - 6a b )c + (4b + 2a b + 16a b + 18a b )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 8 +--R (30b + 28a b - 32a b - 24a b - 12a b - 18a b )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 7 2 6 +--R (8b + 12a b - 56a b - 60a b + 48a b + 42a b + 6a b )c +--R + +--R 11 10 2 9 3 8 5 6 6 5 +--R - 26b - 22a b + 40a b + 24a b + 18a b - 16a b +--R + +--R 7 4 8 3 +--R - 20a b + 2a b +--R * +--R 4 +--R c +--R + +--R 13 12 2 11 3 10 4 9 5 8 +--R - 12b - 14a b + 40a b + 42a b - 48a b - 42a b +--R + +--R 6 7 7 6 8 5 +--R 24a b + 14a b - 4a b +--R * +--R 2 +--R c +--R + +--R 15 2 13 4 11 6 9 8 7 +--R 2b - 8a b + 12a b - 8a b + 2a b +--R * +--R 7 +--R cos(x) +--R + +--R 3 2 2 12 +--R (- 6b - 18a b - 12a b)c +--R + +--R 5 4 2 3 3 2 4 10 +--R (2b + 52a b + 62a b + 48a b + 36a b)c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 8 +--R (28b + 146a b + 96a b - 208a b - 186a b - 36a b - 36a b)c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 12b - 40a b - 84a b - 200a b - 150a b + 240a b +--R + +--R 6 3 8 +--R 210a b + 12a b +--R * +--R 6 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 22b - 206a b - 148a b + 360a b + 282a b - 96a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 32a b - 64a b - 80a b + 6a b +--R * +--R 4 +--R c +--R + +--R 13 12 2 11 3 10 4 9 5 8 +--R - 14b - 76a b - 42a b + 248a b + 210a b - 288a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 238a b + 136a b + 84a b - 20a b +--R * +--R 2 +--R c +--R + +--R 14 3 12 5 10 7 8 9 6 +--R 14a b - 56a b + 84a b - 56a b + 14a b +--R * +--R 6 +--R cos(x) +--R + +--R 3 2 3 12 +--R (12b - 18a b - 6a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (12b + 60a b + 120a b + 102a b + 48a b + 18a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 32b + 96a b + 238a b - 48a b - 464a b - 324a b +--R + +--R 6 7 +--R - 36a b - 18a +--R * +--R 8 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 48b - 72a b - 264a b - 384a b - 168a b + 108a b +--R + +--R 6 3 7 2 9 +--R 480a b + 342a b + 6a +--R * +--R 6 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 12b - 192a b - 630a b - 186a b + 1200a b + 828a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - 456a b - 330a b - 108a b - 120a b + 6a b +--R * +--R 4 +--R c +--R + +--R 13 12 2 11 3 10 4 9 5 8 +--R 4b - 84a b - 224a b + 42a b + 688a b + 378a b +--R + +--R 6 7 7 6 8 5 9 4 10 3 +--R - 760a b - 546a b + 332a b + 210a b - 40a b +--R * +--R 2 +--R c +--R + +--R 2 13 4 11 6 9 8 7 10 5 +--R 42a b - 168a b + 252a b - 168a b + 42a b +--R * +--R 5 +--R cos(x) +--R + +--R 3 2 2 3 12 +--R (12b + 36a b + 18a b - 6a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (16b - 4a b + 58a b + 88a b + 26a b + 16a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 24b - 208a b - 48a b + 194a b - 232a b - 464a b +--R + +--R 6 7 +--R - 186a b - 12a +--R * +--R 8 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 48b - 240a b - 408a b - 440a b - 288a b + 200a b +--R + +--R 6 3 7 2 8 +--R 522a b + 480a b + 222a b +--R * +--R 6 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 20b - 52a b - 530a b - 1010a b + 320a b + 2080a b +--R + +--R 6 5 7 4 8 3 9 2 10 11 +--R 950a b - 920a b - 640a b - 100a b - 80a b + 2a +--R * +--R 4 +--R c +--R + +--R 12 2 11 3 10 4 9 5 8 6 7 +--R 20a b - 210a b - 400a b + 350a b + 1120a b + 210a b +--R + +--R 7 6 8 5 9 4 10 3 11 2 +--R - 1160a b - 630a b + 460a b + 280a b - 40a b +--R * +--R 2 +--R c +--R + +--R 3 12 5 10 7 8 9 6 11 4 +--R 70a b - 280a b + 420a b - 280a b + 70a b +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 2 3 12 +--R (- 6b + 18a b + 36a b + 12a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (- 16b - 26a b - 88a b - 58a b + 4a b - 16a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 12b - 186a b - 464a b - 232a b + 194a b - 48a b +--R + +--R 6 7 +--R - 208a b - 24a +--R * +--R 8 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R - 222a b - 480a b - 522a b - 200a b + 288a b + 440a b +--R + +--R 7 2 8 9 +--R 408a b + 240a b + 48a +--R * +--R 6 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 2b - 80a b - 100a b - 640a b - 920a b + 950a b +--R + +--R 6 5 7 4 8 3 9 2 10 11 +--R 2080a b + 320a b - 1010a b - 530a b - 52a b - 20a +--R * +--R 4 +--R c +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 +--R 40a b - 280a b - 460a b + 630a b + 1160a b - 210a b +--R + +--R 8 5 9 4 10 3 11 2 12 +--R - 1120a b - 350a b + 400a b + 210a b - 20a b +--R * +--R 2 +--R c +--R + +--R 4 11 6 9 8 7 10 5 12 3 +--R 70a b - 280a b + 420a b - 280a b + 70a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 2 3 12 +--R (- 6b - 18a b + 12a )c +--R + +--R 5 4 2 3 3 2 4 5 10 +--R (- 18b - 48a b - 102a b - 120a b - 60a b - 12a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 18b - 36a b - 324a b - 464a b - 48a b + 238a b +--R + +--R 6 7 +--R 96a b - 32a +--R * +--R 8 +--R c +--R + +--R 9 2 7 3 6 4 5 5 4 6 3 +--R - 6b - 342a b - 480a b - 108a b + 168a b + 384a b +--R + +--R 7 2 8 9 +--R 264a b + 72a b + 48a +--R * +--R 6 +--R c +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 6a b - 120a b - 108a b - 330a b - 456a b + 828a b +--R + +--R 7 4 8 3 9 2 10 11 +--R 1200a b - 186a b - 630a b - 192a b - 12a +--R * +--R 4 +--R c +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 40a b - 210a b - 332a b + 546a b + 760a b - 378a b +--R + +--R 9 4 10 3 11 2 12 13 +--R - 688a b - 42a b + 224a b + 84a b - 4a +--R * +--R 2 +--R c +--R + +--R 5 10 7 8 9 6 11 4 13 2 +--R 42a b - 168a b + 252a b - 168a b + 42a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 3 12 +--R (- 12a b - 18a b - 6a )c +--R + +--R 4 2 3 3 2 4 5 10 +--R (- 36a b - 48a b - 62a b - 52a b - 2a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 36a b - 36a b - 186a b - 208a b + 96a b + 146a b +--R + +--R 7 +--R 28a +--R * +--R 8 +--R c +--R + +--R 8 3 6 4 5 5 4 6 3 7 2 +--R - 12a b - 210a b - 240a b + 150a b + 200a b + 84a b +--R + +--R 8 9 +--R 40a b - 12a +--R * +--R 6 +--R c +--R + +--R 2 9 3 8 4 7 5 6 6 5 7 4 8 3 +--R 6a b - 80a b - 64a b - 32a b - 96a b + 282a b + 360a b +--R + +--R 9 2 10 11 +--R - 148a b - 206a b - 22a +--R * +--R 4 +--R c +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 20a b - 84a b - 136a b + 238a b + 288a b - 210a b +--R + +--R 10 3 11 2 12 13 +--R - 248a b + 42a b + 76a b + 14a +--R * +--R 2 +--R c +--R + +--R 6 9 8 7 10 5 12 3 14 +--R 14a b - 56a b + 84a b - 56a b + 14a b +--R * +--R cos(x) +--R + +--R 2 3 12 2 3 3 2 4 5 10 +--R (- 6a b - 6a )c + (- 18a b - 16a b - 2a b - 4a )c +--R + +--R 2 5 3 4 4 3 5 2 6 7 8 +--R (- 18a b - 12a b - 24a b - 32a b + 28a b + 30a )c +--R + +--R 2 7 4 5 5 4 6 3 7 2 8 9 6 +--R (- 6a b - 42a b - 48a b + 60a b + 56a b - 12a b - 8a )c +--R + +--R 3 8 4 7 5 6 6 5 8 3 9 2 10 +--R 2a b - 20a b - 16a b + 18a b + 24a b + 40a b - 22a b +--R + +--R 11 +--R - 26a +--R * +--R 4 +--R c +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 11 2 +--R 4a b - 14a b - 24a b + 42a b + 48a b - 42a b - 40a b +--R + +--R 12 13 +--R 14a b + 12a +--R * +--R 2 +--R c +--R + +--R 7 8 9 6 11 4 13 2 15 +--R 2a b - 8a b + 12a b - 8a b + 2a +--R * +--R sin(x) +--R + +--R 4 3 11 6 5 2 4 3 3 9 +--R (- 2b - 2a b )c + (- 2b - 2a b + 6a b + 6a b )c +--R + +--R 8 7 4 4 5 3 7 +--R (4b + 4a b - 6a b - 6a b )c +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 7 3 5 +--R (4b + 4a b - 12a b - 12a b + 6a b + 6a b + 2a b + 2a b )c +--R + +--R 12 11 4 8 5 7 6 6 7 5 3 +--R (- 2b - 2a b + 6a b + 6a b - 4a b - 4a b )c +--R + +--R 14 13 2 12 3 11 4 10 5 9 6 8 7 7 +--R (- 2b - 2a b + 6a b + 6a b - 6a b - 6a b + 2a b + 2a b )c +--R * +--R 8 +--R cos(x) +--R + +--R 4 3 2 2 11 6 2 4 3 3 4 2 9 +--R (- 2b - 8a b - 6a b )c + (- 2b + 8a b + 24a b + 18a b )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 7 +--R (4b + 32a b + 28a b - 24a b - 30a b - 24a b - 18a b )c +--R + +--R 10 9 3 7 4 6 5 5 6 4 7 3 8 2 5 +--R (4b + 16a b - 72a b - 54a b + 48a b + 44a b + 8a b + 6a b )c +--R + +--R 12 11 2 10 3 9 4 8 5 7 6 6 +--R - 2b - 24a b - 22a b + 24a b + 30a b + 24a b + 14a b +--R + +--R 7 5 8 4 +--R - 24a b - 20a b +--R * +--R 3 +--R c +--R + +--R 14 13 2 12 3 11 4 10 5 9 6 8 +--R - 2b - 16a b - 8a b + 48a b + 36a b - 48a b - 40a b +--R + +--R 7 7 8 6 +--R 16a b + 14a b +--R * +--R c +--R * +--R 7 +--R cos(x) +--R + +--R 4 3 2 2 3 11 +--R (4b - 2a b - 12a b - 6a b)c +--R + +--R 6 5 2 4 3 3 4 2 5 9 +--R (8b + 10a b + 12a b + 28a b + 36a b + 18a b)c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 7 +--R (28a b + 76a b + 24a b - 96a b - 90a b - 36a b - 18a b)c +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R - 8b + 4a b + 12a b - 60a b - 156a b - 54a b + 140a b +--R + +--R 7 3 8 2 9 +--R 104a b + 12a b + 6a b +--R * +--R 5 +--R c +--R + +--R 12 11 2 10 3 9 4 8 5 7 6 6 +--R - 4b - 26a b - 96a b - 50a b + 144a b + 138a b + 16a b +--R + +--R 7 5 8 4 9 3 +--R - 22a b - 60a b - 40a b +--R * +--R 3 +--R c +--R + +--R 13 2 12 4 10 5 9 6 8 7 7 +--R - 14a b - 56a b + 168a b + 84a b - 168a b - 112a b +--R + +--R 8 6 9 5 +--R 56a b + 42a b +--R * +--R c +--R * +--R 6 +--R cos(x) +--R + +--R 4 3 2 2 3 4 11 +--R (4b + 16a b + 6a b - 8a b - 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 9 +--R (8b + 24a b + 26a b + 8a b + 16a b + 24a b + 6a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R - 24a b + 24a b + 80a b - 40a b - 144a b - 90a b - 24a b +--R + +--R 8 +--R - 6a +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R - 8b - 56a b - 48a b - 8a b - 104a b - 144a b + 50a b +--R + +--R 7 3 8 2 9 10 +--R 200a b + 108a b + 8a b + 2a +--R * +--R 5 +--R c +--R + +--R 12 11 2 10 3 9 4 8 5 7 6 6 +--R - 4b - 24a b - 94a b - 184a b + 10a b + 360a b + 238a b +--R + +--R 7 5 8 4 9 3 10 2 +--R - 72a b - 110a b - 80a b - 40a b +--R * +--R 3 +--R c +--R + +--R 2 12 3 11 4 10 5 9 6 8 7 7 +--R - 42a b - 112a b + 56a b + 336a b + 84a b - 336a b +--R + +--R 8 6 9 5 10 4 +--R - 168a b + 112a b + 70a b +--R * +--R c +--R * +--R 5 +--R cos(x) +--R + +--R 4 3 2 2 3 4 11 +--R (- 2b + 10a b + 24a b + 10a b - 2a )c +--R + +--R 6 5 2 4 4 2 5 6 9 +--R (- 6b + 10a b + 18a b - 18a b - 10a b + 6a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - 6b - 30a b - 96a b - 40a b + 64a b - 40a b - 96a b +--R + +--R 7 8 +--R - 30a b - 6a +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 6 4 7 3 +--R - 2b - 50a b - 150a b - 110a b + 40a b - 40a b + 110a b +--R + +--R 8 2 9 10 +--R 150a b + 50a b + 2a +--R * +--R 5 +--R c +--R + +--R 11 2 10 3 9 4 8 5 7 6 6 +--R - 20a b - 60a b - 150a b - 180a b + 170a b + 480a b +--R + +--R 7 5 8 4 9 3 10 2 11 +--R 170a b - 180a b - 150a b - 60a b - 20a b +--R * +--R 3 +--R c +--R + +--R 3 11 4 10 5 9 6 8 8 6 9 5 +--R - 70a b - 140a b + 140a b + 420a b - 420a b - 140a b +--R + +--R 10 4 11 3 +--R 140a b + 70a b +--R * +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 4 3 2 2 3 4 11 +--R (- 2b - 8a b + 6a b + 16a b + 4a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 9 +--R (- 6b - 24a b - 16a b - 8a b - 26a b - 24a b - 8a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - 6b - 24a b - 90a b - 144a b - 40a b + 80a b + 24a b +--R + +--R 7 +--R - 24a b +--R * +--R 7 +--R c +--R + +--R 10 9 2 8 3 7 4 6 5 5 6 4 +--R - 2b - 8a b - 108a b - 200a b - 50a b + 144a b + 104a b +--R + +--R 7 3 8 2 9 10 +--R 8a b + 48a b + 56a b + 8a +--R * +--R 5 +--R c +--R + +--R 2 10 3 9 4 8 5 7 6 6 7 5 +--R - 40a b - 80a b - 110a b - 72a b + 238a b + 360a b +--R + +--R 8 4 9 3 10 2 11 12 +--R 10a b - 184a b - 94a b - 24a b - 4a +--R * +--R 3 +--R c +--R + +--R 4 10 5 9 6 8 7 7 8 6 9 5 +--R - 70a b - 112a b + 168a b + 336a b - 84a b - 336a b +--R + +--R 10 4 11 3 12 2 +--R - 56a b + 112a b + 42a b +--R * +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 3 2 2 3 4 11 +--R (- 6a b - 12a b - 2a b + 4a )c +--R + +--R 5 2 4 3 3 4 2 5 6 9 +--R (- 18a b - 36a b - 28a b - 12a b - 10a b - 8a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 7 +--R (- 18a b - 36a b - 90a b - 96a b + 24a b + 76a b + 28a b)c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R - 6a b - 12a b - 104a b - 140a b + 54a b + 156a b + 60a b +--R + +--R 8 2 9 10 +--R - 12a b - 4a b + 8a +--R * +--R 5 +--R c +--R + +--R 3 9 4 8 5 7 6 6 7 5 8 4 9 3 +--R - 40a b - 60a b - 22a b + 16a b + 138a b + 144a b - 50a b +--R + +--R 10 2 11 12 +--R - 96a b - 26a b - 4a +--R * +--R 3 +--R c +--R + +--R 5 9 6 8 7 7 8 6 9 5 10 4 +--R - 42a b - 56a b + 112a b + 168a b - 84a b - 168a b +--R + +--R 12 2 13 +--R 56a b + 14a b +--R * +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 3 4 11 2 4 3 3 4 2 6 9 +--R (- 6a b - 8a b - 2a )c + (- 18a b - 24a b - 8a b + 2a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 7 +--R (- 18a b - 24a b - 30a b - 24a b + 28a b + 32a b + 4a )c +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 9 +--R - 6a b - 8a b - 44a b - 48a b + 54a b + 72a b - 16a b +--R + +--R 10 +--R - 4a +--R * +--R 5 +--R c +--R + +--R 4 8 5 7 6 6 7 5 8 4 9 3 10 2 +--R - 20a b - 24a b + 14a b + 24a b + 30a b + 24a b - 22a b +--R + +--R 11 12 +--R - 24a b - 2a +--R * +--R 3 +--R c +--R + +--R 6 8 7 7 8 6 9 5 10 4 11 3 12 2 +--R - 14a b - 16a b + 40a b + 48a b - 36a b - 48a b + 8a b +--R + +--R 13 14 +--R 16a b + 2a +--R * +--R c +--R * +--R cos(x) +--R + +--R 3 4 11 3 3 4 2 5 6 9 +--R (- 2a b - 2a )c + (- 6a b - 6a b + 2a b + 2a )c +--R + +--R 3 5 4 4 7 8 7 +--R (- 6a b - 6a b + 4a b + 4a )c +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 10 5 +--R (- 2a b - 2a b - 6a b - 6a b + 12a b + 12a b - 4a b - 4a )c +--R + +--R 5 7 6 6 7 5 8 4 11 12 3 +--R (- 4a b - 4a b + 6a b + 6a b - 2a b - 2a )c +--R + +--R 7 7 8 6 9 5 10 4 11 3 12 2 13 14 +--R (- 2a b - 2a b + 6a b + 6a b - 6a b - 6a b + 2a b + 2a )c +--R Type: Expression Integer +--E 338 + +--S 339 of 532 +m0763b:= a0763.2-r0763 +--R +--R +--R (312) +--R 3 2 2 5 +--R (4b - 8a b + 4a b)c +--R + +--R 5 4 2 3 3 2 4 3 +--R (4b - 8a b + 12a b - 16a b + 8a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 5 4 2 3 3 2 4 5 3 +--R (4a b - 8a b + 4a )c + (4a b - 8a b + 12a b - 16a b + 8a )c +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 6 +--R (- 2b + 4a b - 2a )c +--R + +--R 4 3 2 2 3 4 4 +--R (8b - 16a b + 4a b + 8a b - 4a )c +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (10b - 20a b + 30a b - 40a b + 20a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 4 +--R (20a b - 40a b + 20a b)c +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (20a b - 40a b + 60a b - 80a b + 40a b)c +--R * +--R cos(x) +--R + +--R 2 2 6 4 3 2 2 3 4 4 +--R (2b - 4a b + 2a )c + (2b - 4a b + 16a b - 28a b + 14a )c +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (10a b - 20a b + 30a b - 40a b + 20a )c +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 5 +--R (- 4b + 8a b - 4a b)c +--R + +--R 5 4 2 3 3 2 4 3 +--R (4b - 8a b - 4a b + 16a b - 8a b)c +--R + +--R 7 6 2 5 3 4 4 3 +--R (8b - 16a b + 24a b - 32a b + 16a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 3 5 +--R (- 4a b + 8a b - 4a )c +--R + +--R 4 2 3 3 2 4 5 3 +--R (20a b - 40a b + 12a b + 16a b - 8a )c +--R + +--R 6 2 5 3 4 4 3 5 2 +--R (24a b - 48a b + 72a b - 96a b + 48a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 5 +--R (4b - 8a b + 4a b)c +--R + +--R 5 4 2 3 3 2 4 3 +--R (4b - 8a b + 36a b - 64a b + 32a b)c +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (24a b - 48a b + 72a b - 96a b + 48a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 5 +--R (4a b - 8a b + 4a )c +--R + +--R 4 2 3 3 2 4 5 3 +--R (4a b - 8a b + 20a b - 32a b + 16a )c +--R + +--R 3 4 4 3 5 2 6 7 +--R (8a b - 16a b + 24a b - 32a b + 16a )c +--R * +--R sin(x) +--R + +--R 4 3 2 2 4 2 4 3 3 4 2 2 8 +--R (- 2b + 4a b - 2a b )c + (- 4a b + 8a b - 4a b )c + 2b +--R + +--R 7 2 6 3 5 4 4 +--R - 4a b + 6a b - 8a b + 4a b +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 2 3 4 +--R (- 4a b + 8a b - 4a b)c +--R + +--R 5 2 4 3 3 4 2 5 2 7 2 6 +--R (4a b - 8a b - 4a b + 16a b - 8a b)c + 8a b - 16a b +--R + +--R 3 5 4 4 5 3 +--R 24a b - 32a b + 16a b +--R * +--R 3 +--R cos(x) +--R + +--R 4 3 3 4 4 +--R (2b - 4a b + 4a b - 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 2 2 6 +--R (2b - 4a b + 16a b - 28a b + 10a b + 8a b - 4a )c + 12a b +--R + +--R 3 5 4 4 5 3 6 2 +--R - 24a b + 36a b - 48a b + 24a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 4 +--R (4a b - 8a b + 4a b)c +--R + +--R 5 2 4 3 3 4 2 5 2 3 5 4 4 +--R (4a b - 8a b + 20a b - 32a b + 16a b)c + 8a b - 16a b +--R + +--R 5 3 6 2 7 +--R 24a b - 32a b + 16a b +--R * +--R cos(x) +--R + +--R 2 2 3 4 4 2 4 3 3 4 2 5 6 2 +--R (2a b - 4a b + 2a )c + (2a b - 4a b + 8a b - 12a b + 6a )c +--R + +--R 4 4 5 3 6 2 7 8 +--R 2a b - 4a b + 6a b - 8a b + 4a +--R * +--R +--------------+ +--R | 2 2 2 +--R ((b - a)sin(x) - c cos(x) - c)\|- c - b + a +--R atan(-----------------------------------------------) +--R 2 2 2 2 2 2 +--R (c + b - a )cos(x) + c + b - a +--R + +--R 3 2 2 5 +--R (4b - 8a b + 4a b)c +--R + +--R 5 4 2 3 3 2 4 3 +--R (4b - 8a b + 12a b - 16a b + 8a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 5 4 2 3 3 2 4 5 3 +--R (4a b - 8a b + 4a )c + (4a b - 8a b + 12a b - 16a b + 8a )c +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 6 +--R (- 2b + 4a b - 2a )c +--R + +--R 4 3 2 2 3 4 4 +--R (8b - 16a b + 4a b + 8a b - 4a )c +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (10b - 20a b + 30a b - 40a b + 20a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 4 +--R (20a b - 40a b + 20a b)c +--R + +--R 5 2 4 3 3 4 2 5 2 +--R (20a b - 40a b + 60a b - 80a b + 40a b)c +--R * +--R cos(x) +--R + +--R 2 2 6 4 3 2 2 3 4 4 +--R (2b - 4a b + 2a )c + (2b - 4a b + 16a b - 28a b + 14a )c +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (10a b - 20a b + 30a b - 40a b + 20a )c +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 5 +--R (- 4b + 8a b - 4a b)c +--R + +--R 5 4 2 3 3 2 4 3 +--R (4b - 8a b - 4a b + 16a b - 8a b)c +--R + +--R 7 6 2 5 3 4 4 3 +--R (8b - 16a b + 24a b - 32a b + 16a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 3 5 +--R (- 4a b + 8a b - 4a )c +--R + +--R 4 2 3 3 2 4 5 3 +--R (20a b - 40a b + 12a b + 16a b - 8a )c +--R + +--R 6 2 5 3 4 4 3 5 2 +--R (24a b - 48a b + 72a b - 96a b + 48a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 5 +--R (4b - 8a b + 4a b)c +--R + +--R 5 4 2 3 3 2 4 3 +--R (4b - 8a b + 36a b - 64a b + 32a b)c +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (24a b - 48a b + 72a b - 96a b + 48a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 5 +--R (4a b - 8a b + 4a )c +--R + +--R 4 2 3 3 2 4 5 3 +--R (4a b - 8a b + 20a b - 32a b + 16a )c +--R + +--R 3 4 4 3 5 2 6 7 +--R (8a b - 16a b + 24a b - 32a b + 16a )c +--R * +--R sin(x) +--R + +--R 4 3 2 2 4 2 4 3 3 4 2 2 8 +--R (- 2b + 4a b - 2a b )c + (- 4a b + 8a b - 4a b )c + 2b +--R + +--R 7 2 6 3 5 4 4 +--R - 4a b + 6a b - 8a b + 4a b +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 2 3 4 +--R (- 4a b + 8a b - 4a b)c +--R + +--R 5 2 4 3 3 4 2 5 2 7 2 6 +--R (4a b - 8a b - 4a b + 16a b - 8a b)c + 8a b - 16a b +--R + +--R 3 5 4 4 5 3 +--R 24a b - 32a b + 16a b +--R * +--R 3 +--R cos(x) +--R + +--R 4 3 3 4 4 +--R (2b - 4a b + 4a b - 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 2 2 6 +--R (2b - 4a b + 16a b - 28a b + 10a b + 8a b - 4a )c + 12a b +--R + +--R 3 5 4 4 5 3 6 2 +--R - 24a b + 36a b - 48a b + 24a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 4 +--R (4a b - 8a b + 4a b)c +--R + +--R 5 2 4 3 3 4 2 5 2 3 5 4 4 +--R (4a b - 8a b + 20a b - 32a b + 16a b)c + 8a b - 16a b +--R + +--R 5 3 6 2 7 +--R 24a b - 32a b + 16a b +--R * +--R cos(x) +--R + +--R 2 2 3 4 4 2 4 3 3 4 2 5 6 2 +--R (2a b - 4a b + 2a )c + (2a b - 4a b + 8a b - 12a b + 6a )c +--R + +--R 4 4 5 3 6 2 7 8 +--R 2a b - 4a b + 6a b - 8a b + 4a +--R * +--R x +--R (b - a)tan(-) - c +--R 2 +--R atan(-----------------) +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R + +--R 6 3 2 2 3 4 +--R - 2b c + (- 2b - 3a b + 2a b + 3a )c +--R + +--R 4 2 3 3 2 2 +--R (3a b - 6a b + 3a b )c +--R * +--R cos(x) +--R + +--R 6 3 2 2 3 4 +--R - 2a c + (b - 4a b - 5a b + 8a )c +--R + +--R 5 4 2 3 3 2 4 2 +--R (b - 2a b + 3a b - 4a b + 2a b)c +--R * +--R 3 +--R sin(x) +--R + +--R 7 2 2 5 +--R c + (- 4b + 3a b - 4a )c +--R + +--R 4 3 2 2 3 3 5 2 4 3 3 +--R (- 5b - 12a b + 14a b + 3a b)c + (3a b - 6a b + 3a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 5 +--R (- b - 8a b - a )c +--R + +--R 4 3 2 2 3 4 3 +--R (- b - 8a b - 27a b + 32a b + 4a )c +--R + +--R 2 4 3 3 4 2 +--R (6a b - 12a b + 6a b )c +--R * +--R cos(x) +--R + +--R 7 2 2 5 2 2 3 4 3 +--R - c + (- b - 3a b - a )c + (- 5a b - 15a b + 20a )c +--R + +--R 3 3 4 2 5 +--R (3a b - 6a b + 3a b)c +--R * +--R 2 +--R sin(x) +--R + +--R 6 3 2 2 3 4 +--R 2b c + (- 2b + 9a b - 14a b + 3a )c +--R + +--R 5 4 2 3 3 2 2 +--R (- 4b - 9a b + 10a b + 3a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 6 3 2 2 3 4 +--R 2a c + (b - 12a b + 7a b - 8a )c +--R + +--R 5 4 2 3 3 2 4 2 +--R (b - 14a b - 33a b + 44a b + 2a b)c +--R * +--R 2 +--R cos(x) +--R + +--R 6 3 2 2 3 4 +--R - 2b c + (- 2b - 9a b + 2a b - 3a )c +--R + +--R 4 2 3 3 2 4 2 +--R (- 3a b - 6a b - 39a b + 48a b)c +--R * +--R cos(x) +--R + +--R 6 3 2 3 4 +--R - 2a c + (- b - 7a b + 4a )c +--R + +--R 5 4 2 3 4 5 2 +--R (- b + 2a b - 3a b - 14a b + 16a )c +--R * +--R sin(x) +--R + +--R 2 5 3 2 2 3 3 6 2 4 3 3 4 +--R (b c + (6a b - 10a b + 3a b)c + (- b - 2a b + 3a b )c)cos(x) +--R + +--R 2 2 5 4 2 2 3 4 3 +--R (- b + 4a b - a )c + (- b + 9a b - 16a b + 4a )c +--R + +--R 5 2 4 3 3 4 2 +--R (- 4a b - 6a b + 4a b + 6a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 5 4 3 2 2 4 3 +--R (- b + a )c + (- b - 6a b + 5a b - 4a )c +--R + +--R 5 3 3 4 2 5 +--R (- 3a b - 18a b + 18a b + 3a b)c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 5 4 3 2 2 3 4 3 +--R (b - 4a b + a )c + (b - 4a b - 9a b + 12a b - 4a )c +--R + +--R 2 4 3 3 4 2 5 +--R (- 6a b + 8a b - 18a b + 16a b)c +--R * +--R cos(x) +--R + +--R 2 5 2 2 3 4 3 3 3 4 2 5 6 +--R - a c + (- a b - 3a b + 3a )c + (- 3a b + 5a b - 6a b + 4a )c +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R / +--R 3 2 2 7 5 4 3 2 4 5 +--R (4b - 8a b + 4a b)c + (8b - 16a b + 16a b - 8a b)c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 3 +--R (4b - 8a b - 4a b + 16a b - 4a b - 8a b + 4a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 7 4 2 3 4 5 5 +--R (4a b - 8a b + 4a )c + (8a b - 16a b + 16a b - 8a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 3 +--R (4a b - 8a b - 4a b + 16a b - 4a b - 8a b + 4a )c +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (- 2b + 4a b - 2a )c + (6b - 12a b + 10a b - 8a b + 4a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (18b - 36a b + 2a b + 32a b - 18a b + 4a b - 2a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 2 +--R (10b - 20a b - 10a b + 40a b - 10a b - 20a b + 10a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 6 +--R (20a b - 40a b + 20a b)c +--R + +--R 5 2 4 4 2 5 4 +--R (40a b - 80a b + 80a b - 40a b)c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 2 +--R (20a b - 40a b - 20a b + 80a b - 20a b - 40a b + 20a b)c +--R * +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (2b - 4a b + 2a )c + (4b - 8a b + 10a b - 12a b + 6a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (2b - 4a b + 18a b - 32a b - 2a b + 36a b - 18a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 2 +--R (10a b - 20a b - 10a b + 40a b - 10a b - 20a b + 10a )c +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 7 2 3 3 2 4 5 +--R (- 4b + 8a b - 4a b)c + (8a b - 16a b + 8a b)c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 3 +--R (12b - 24a b + 4a b + 16a b - 12a b + 8a b - 4a b)c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R (8b - 16a b - 8a b + 32a b - 8a b - 16a b + 8a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 3 7 +--R (- 4a b + 8a b - 4a )c +--R + +--R 4 2 3 3 2 4 5 5 +--R (16a b - 32a b + 24a b - 16a b + 8a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 3 +--R (44a b - 88a b + 4a b + 80a b - 44a b + 8a b - 4a )c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R (24a b - 48a b - 24a b + 96a b - 24a b - 48a b + 24a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 7 +--R (4b - 8a b + 4a b)c +--R + +--R 5 4 2 3 3 2 4 5 +--R (8b - 16a b + 24a b - 32a b + 16a b)c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 3 +--R (4b - 8a b + 44a b - 80a b - 4a b + 88a b - 44a b)c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 +--R (24a b - 48a b - 24a b + 96a b - 24a b - 48a b + 24a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 7 4 2 3 3 2 5 +--R (4a b - 8a b + 4a )c + (8a b - 16a b + 8a b )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 3 +--R (4a b - 8a b + 12a b - 16a b - 4a b + 24a b - 12a )c +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 +--R (8a b - 16a b - 8a b + 32a b - 8a b - 16a b + 8a )c +--R * +--R sin(x) +--R + +--R 4 3 2 2 6 +--R (- 2b + 4a b - 2a b )c +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 2b + 4a b + 2a b - 8a b + 4a b )c +--R + +--R 8 7 2 6 4 4 5 3 6 2 2 10 9 +--R (2b - 4a b + 2a b - 2a b + 4a b - 2a b )c + 2b - 4a b +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R - 2a b + 8a b - 2a b - 4a b + 2a b +--R * +--R 4 +--R cos(x) +--R + +--R 3 2 2 3 6 3 3 4 2 5 4 +--R (- 4a b + 8a b - 4a b)c + (8a b - 16a b + 8a b)c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 2 +--R (12a b - 24a b + 4a b + 16a b - 12a b + 8a b - 4a b)c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 7 3 +--R 8a b - 16a b - 8a b + 32a b - 8a b - 16a b + 8a b +--R * +--R 3 +--R cos(x) +--R + +--R 4 3 3 4 6 +--R (2b - 4a b + 4a b - 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (4b - 8a b + 8a b - 8a b + 8a b - 8a b + 4a )c +--R + +--R 8 7 2 6 3 5 5 3 6 2 7 8 2 +--R (2b - 4a b + 20a b - 36a b + 36a b - 20a b + 4a b - 2a )c +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 +--R 12a b - 24a b - 12a b + 48a b - 12a b - 24a b + 12a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 6 5 2 4 3 3 4 +--R (4a b - 8a b + 4a b)c + (8a b - 16a b + 8a b )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 2 +--R (4a b - 8a b + 12a b - 16a b - 4a b + 24a b - 12a b)c +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 +--R 8a b - 16a b - 8a b + 32a b - 8a b - 16a b + 8a b +--R * +--R cos(x) +--R + +--R 2 2 3 4 6 2 4 3 3 4 2 5 6 4 +--R (2a b - 4a b + 2a )c + (4a b - 8a b + 2a b + 4a b - 2a )c +--R + +--R 2 6 3 5 4 4 6 2 7 8 2 4 6 5 5 6 4 +--R (2a b - 4a b + 2a b - 2a b + 4a b - 2a )c + 2a b - 4a b - 2a b +--R + +--R 7 3 8 2 9 10 +--R 8a b - 2a b - 4a b + 2a +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c - b + a +--R Type: Expression Integer +--E 339 + +--S 340 of 532 +d0763b:= D(m0763b,x) +--R +--R +--R (313) +--R 4 3 2 2 3 4 6 +--R (2b - 4a b - 4a b + 12a b - 6a )c +--R + +--R 6 5 3 3 4 2 4 +--R (2b - 4a b + 4a b - 2a b )c +--R * +--R 8 +--R sin(x) +--R + +--R 3 2 2 3 7 +--R (- 4b + a b + 6a b - 3a )c +--R + +--R 5 4 2 3 3 2 5 +--R (- 4b + 10a b - 20a b + 14a b )c +--R + +--R 6 2 5 3 4 3 +--R (9a b - 18a b + 9a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 3 7 5 4 2 3 4 5 +--R (- 6b + 18a b - 12a )c + (2b - 16a b + 8a b + 6a b)c +--R + +--R 7 6 2 5 3 4 4 3 3 +--R (8b - 16a b + 18a b - 20a b + 10a b )c +--R * +--R cos(x) +--R + +--R 3 2 2 3 7 +--R (- 4b + 3a b + 10a b - 9a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 4b + 11a b - 14a b - 10a b + 26a b - 9a )c +--R + +--R 6 2 5 3 4 4 3 5 2 3 +--R (8a b - 16a b + 9a b - 2a b + a b )c +--R * +--R 7 +--R sin(x) +--R + +--R 2 2 8 4 3 2 2 3 6 +--R (- 4b + 2a b - 6a )c + (- 20b - 21a b + 46a b - 29a b)c +--R + +--R 6 5 2 4 3 3 4 +--R (- 16b - 8a b - 2a b + 26a b )c +--R + +--R 7 2 6 3 5 2 +--R (15a b - 30a b + 15a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 8 +--R (- 3b - 12a b - 9a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 32b - 40a b + 33a b + 6a b - 39a )c +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 25b - 36a b + 27a b - 44a b + 78a b )c +--R + +--R 8 7 2 6 3 5 4 4 2 +--R (4b - 8a b + 45a b - 82a b + 41a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 8 +--R (- 14a b - 10a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 20b - 25a b + 8a b + 27a b - 62a )c +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (- 20b - 3a b - 38a b + 38a b - 48a b + 71a b)c +--R + +--R 7 2 6 3 5 4 4 5 3 2 +--R (8a b - 16a b + 45a b - 74a b + 37a b )c +--R * +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (b - 4a b - 5a )c + (- b - 20a b + 21a b + 6a b - 30a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (- 2b - 16a b + 24a b - 26a b + 5a b - 2a b + 17a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 2 +--R (4a b - 8a b + 15a b - 22a b + 11a b )c +--R * +--R 6 +--R sin(x) +--R + +--R 9 3 2 2 3 7 +--R (7b + a)c + (- 23b + 36a b - 28a b - a )c +--R + +--R 5 4 2 3 3 2 5 +--R (- 55b + 3a b - 36a b - 32a b )c +--R + +--R 7 6 2 5 3 4 3 +--R (- 25b - 26a b + 4a b + 47a b )c +--R + +--R 8 2 7 3 6 +--R (6a b - 12a b + 6a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (6b + 10a)c + (- 10b - 72a b + 10a b - 40a )c +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 28b - 230a b - 36a b - 68a b - 118a b)c +--R + +--R 7 6 2 5 3 4 4 3 3 +--R (- 12b - 148a b - 2a b + 4a b + 158a b )c +--R + +--R 2 7 3 6 4 5 +--R (24a b - 48a b + 24a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 9 2 2 3 7 +--R (- 8b + 8a)c + (- 100a b - 94a b - 46a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 16b - 141a b - 218a b - 98a b - 162a b - 85a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 3 +--R (- 24b - 33a b - 204a b + 102a b - 78a b + 237a b )c +--R + +--R 3 6 4 5 5 4 +--R (36a b - 72a b + 36a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 10b - 6a)c + (- 8b - 18a b - 136a b - 46a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 14b - 28a b - 94a b - 106a b - 110a b - 128a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 16b - 16a b - 14a b - 128a b + 122a b - 120a b +--R + +--R 6 +--R 172a b +--R * +--R 3 +--R c +--R + +--R 4 5 5 4 6 3 +--R (24a b - 48a b + 24a b )c +--R * +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 3b - 5a)c + (- 3b - 2a b - 28a b - 31a )c +--R + +--R 4 2 3 3 2 4 5 5 +--R (- 13a b - 14a b + 18a b - 59a b - 52a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 3 +--R (- 16a b + 8a b + 7a b - 47a b + 44a b - 42a b + 46a )c +--R + +--R 5 4 6 3 7 2 +--R (6a b - 12a b + 6a b )c +--R * +--R 5 +--R sin(x) +--R + +--R 10 2 2 8 +--R - 2c + (35b - a b - 4a )c +--R + +--R 4 3 2 2 3 6 +--R (- 43b + 36a b + 74a b - 41a b)c +--R + +--R 6 5 2 4 3 3 4 +--R (- 99b + 35a b - 160a b - 22a b )c +--R + +--R 8 7 2 6 3 5 2 +--R (- 19b - 2a b - 38a b + 59a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 10 2 2 8 +--R - 2c + (24b + 83a b - 5a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 95b - 101a b + 171a b - 20a b - 41a )c +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 120b - 331a b - 93a b - 620a b - 66a b )c +--R + +--R 8 7 2 6 3 5 4 4 2 +--R (b - 147a b + 31a b - 120a b + 235a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 10 2 2 8 +--R 4c + (- 44b + 78a b + 50a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 68b - 242a b - 288a b + 84a b - 90a )c +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (- 28b - 347a b - 562a b - 602a b - 828a b - 93a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 2 +--R (- 8b - 27a b - 304a b + 128a b - 186a b + 397a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 10 2 2 8 +--R 4c + (- 40b - 74a b + 54a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- b - 186a b - 510a b - 292a b - 47a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 35b - 120a b - 445a b - 508a b - 865a b - 510a b +--R + +--R 6 +--R - 47a +--R * +--R 4 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 8b - 8a b - 79a b - 252a b + 186a b - 202a b +--R + +--R 6 2 +--R 363a b +--R * +--R 2 +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 10 2 2 8 +--R - 2c + (- 11b - 77a b - 26a )c +--R + +--R 4 3 2 2 3 4 6 +--R (7b - 54a b - 190a b - 423a b - 74a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 16b + 7a b - 110a b - 234a b - 299a b - 472a b +--R + +--R 6 +--R - 138a +--R * +--R 4 +--R c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 16a b + 8a b - 73a b - 85a b + 122a b - 136a b +--R + +--R 7 +--R 180a b +--R * +--R 2 +--R c +--R * +--R cos(x) +--R + +--R 10 2 2 8 +--R - 2c + (- 4b - 9a b - 29a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 4b + 11a b - 41a b - 84a b - 72a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (- 2b + 20a b - 24a b - 30a b - 16a b - 109a b - 85a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 2 +--R (- 8a b + 8a b - 22a b - 9a b + 31a b - 38a b + 38a )c +--R * +--R 4 +--R sin(x) +--R + +--R 9 3 2 2 3 7 +--R (- 9b + a)c + (66b + 29a b - 60a b + 5a )c +--R + +--R 5 4 2 3 3 2 5 +--R (- 28b + 22a b + 174a b - 64a b )c +--R + +--R 7 6 2 5 3 4 3 +--R (- 110b + a b - 152a b - 3a b )c +--R + +--R 9 8 2 7 3 6 +--R (- 7b + 7a b - 26a b + 26a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 8b - 8a)c + (106b + 174a b - 32a b - 40a )c +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 42b - 226a b + 302a b + 376a b - 170a b)c +--R + +--R 7 6 2 5 3 4 4 3 3 +--R (- 156b - 462a b - 180a b - 792a b + 6a b )c +--R + +--R 8 2 7 3 6 4 5 +--R (- 54a b + 42a b - 120a b + 132a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (19b - 11a)c + (- 35b + 178a b + 251a b - 50a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 107b - 352a b - 525a b + 617a b + 108a b - 101a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 3 +--R (- 53b - 553a b - 877a b - 974a b - 1554a b + 51a b )c +--R + +--R 8 2 7 3 6 4 5 5 4 +--R (- 12a b - 141a b + 105a b - 234a b + 282a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (16b + 16a)c + (- 128b - 120a b + 244a b + 100a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 128b - 268a b - 916a b - 776a b + 408a b - 80a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 16b - 132a b - 856a b - 1096a b - 1868a b - 1408a b +--R + +--R 6 +--R 64a b +--R * +--R 3 +--R c +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R (- 48a b - 164a b + 140a b - 256a b + 328a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 11b + 19a)c + (- 60b - 215a b - 142a b + 121a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 25b - 203a b - 430a b - 1228a b - 463a b + 69a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 24b + 31a b - 164a b - 745a b - 896a b - 1654a b +--R + +--R 6 7 +--R - 578a b + 22a +--R * +--R 3 +--R c +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R (- 72a b - 81a b + 105a b - 174a b + 222a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 8b - 8a)c + (- 2b - 78a b - 188a b - 36a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (14b - 38a b - 178a b - 344a b - 698a b - 52a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 8b + 32a b - 2a b - 96a b - 354a b - 410a b +--R + +--R 6 7 +--R - 678a b - 84a +--R * +--R 3 +--R c +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (- 48a b - 6a b + 42a b - 72a b + 84a b)c +--R * +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (b - 9a)c + (5b - 16a b - 25a b - 52a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (4b + a b - 11a b - 69a b - 105a b - 100a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 3 +--R (8a b + 8a b - 17a b - 11a b - 68a b - 85a b - 99a )c +--R + +--R 5 4 6 3 7 2 8 9 +--R (- 12a b + 5a b + 7a b - 14a b + 14a )c +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 8 4 3 2 2 3 6 +--R (- 15b - 3a b + 6a )c + (58b + 55a b - 84a b - 9a b)c +--R + +--R 6 5 2 4 3 3 4 +--R (4b + 48a b + 116a b - 52a b )c +--R + +--R 8 7 2 6 3 5 2 10 9 2 8 +--R (- 70b - 9a b - 108a b + 31a b )c - b + a b - 2a b +--R + +--R 3 7 +--R 2a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 2 8 +--R (- 39b - 3a b + 6a )c +--R + +--R 4 3 2 2 3 4 6 +--R (74b + 312a b - 7a b - 204a b - 3a )c +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (19b - 70a b + 313a b + 378a b - 164a b )c +--R + +--R 8 7 2 6 3 5 4 4 2 9 +--R (- 94b - 392a b - 159a b - 584a b + 137a b )c - 7a b +--R + +--R 2 8 3 7 4 6 +--R 7a b - 14a b + 14a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 8 +--R (9b - 15a b - 6a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 17b + 272a b + 489a b - 174a b - 102a )c +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (- 57b - 172a b - 397a b + 821a b + 414a b - 189a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 2 +--R (- 31b - 459a b - 905a b - 818a b - 1326a b + 263a b )c +--R + +--R 2 8 3 7 4 6 5 5 +--R - 21a b + 21a b - 42a b + 42a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 8 +--R (63b + 5a b - 8a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 45b - 233a b + 436a b + 417a b - 115a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 110b - 321a b - 843a b - 727a b + 972a b + 124a b +--R + +--R 6 +--R - 75a +--R * +--R 4 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 2b - 83a b - 949a b - 1243a b - 1882a b - 1574a b +--R + +--R 6 2 +--R 273a b +--R * +--R 2 +--R c +--R + +--R 3 7 4 6 5 5 6 4 +--R - 35a b + 35a b - 70a b + 70a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 8 +--R (11b + 39a b + 10a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 48b - 309a b - 310a b + 439a b + 128a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 51b - 339a b - 572a b - 1524a b - 689a b + 539a b +--R + +--R 6 +--R - 24a +--R * +--R 4 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 8b + 9a b - 96a b - 1087a b - 1188a b - 2262a b +--R + +--R 6 2 7 +--R - 994a b + 150a b +--R * +--R 2 +--R c +--R + +--R 4 6 5 5 6 4 7 3 +--R - 35a b + 35a b - 70a b + 70a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 8 +--R (- 25b - a b + 14a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 40b - 94a b - 411a b - 166a b + 171a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 11b - 77a b - 382a b - 602a b - 1364a b - 285a b +--R + +--R 6 +--R 117a +--R * +--R 4 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 4b + 16a b + 31a b - 76a b - 747a b - 770a b +--R + +--R 6 2 7 8 +--R - 1470a b - 298a b + 34a +--R * +--R 2 +--R c +--R + +--R 5 5 6 4 7 3 8 2 +--R - 21a b + 21a b - 42a b + 42a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 8 +--R (- 5b - 21a b - 10a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- b - 34a b - 95a b - 240a b - 18a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (4b - 5a b - 59a b - 213a b - 337a b - 578a b - 16a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 8a b + 8a b + 27a b - 41a b - 298a b - 285a b +--R + +--R 7 8 +--R - 483a b - 28a +--R * +--R 2 +--R c +--R + +--R 6 4 7 3 8 2 9 +--R - 7a b + 7a b - 14a b + 14a b +--R * +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (b - a b - 12a )c + (3b - a b - 18a b - 31a b - 45a )c +--R + +--R 6 3 3 4 2 5 6 4 +--R (2b - 17a b - 56a b - 67a b - 82a )c +--R + +--R 2 6 4 4 5 3 6 2 7 8 2 7 3 8 2 +--R (4a b + 7a b - 9a b - 54a b - 43a b - 61a )c - a b + a b +--R + +--R 9 10 +--R - 2a b + 2a +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 3 7 +--R (- 11b - 6a b + 6a b + 3a )c +--R + +--R 5 4 2 3 3 2 5 +--R (23b + 29a b - 34a b - 18a b )c +--R + +--R 7 6 2 5 3 4 3 +--R (11b + 36a b + 50a b - 41a b )c +--R + +--R 9 8 2 7 3 6 +--R (- 23b + a b - 46a b + 20a b )c +--R * +--R 8 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (4b - 4a)c + (- 26b - 34a b + 12a b + 16a )c +--R + +--R 5 4 2 3 3 2 4 5 +--R (16b + 184a b + 38a b - 144a b - 46a b)c +--R + +--R 7 6 2 5 3 4 4 3 3 +--R (16b + 62a b + 204a b + 164a b - 142a b )c +--R + +--R 9 8 2 7 3 6 4 5 +--R (- 30b - 152a b - 42a b - 268a b + 108a b )c +--R * +--R 7 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (4b - 4a)c + (- 3b - 43a b - 3a b + 17a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 25b + 146a b + 445a b - 93a b - 208a b - 25a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 3 +--R (- 25b - 4a b + 29a b + 543a b + 202a b - 185a b )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R (- 7b - 189a b - 419a b - 309a b - 666a b + 246a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 8b + 8a)c + (26b + 42a b - 24a b - 12a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 8b - 132a b + 362a b + 456a b - 154a b - 92a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 42b - 196a b - 286a b - 178a b + 810a b + 112a b +--R + +--R 6 +--R - 108a b +--R * +--R 3 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R (- 30a b - 504a b - 658a b - 892a b - 908a b + 304a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 8b + 8a)c + (15b + 81a b + 9a b - 25a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (7b - 140a b - 323a b + 467a b + 290a b - 61a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 16b - 207a b - 483a b - 811a b - 285a b + 682a b +--R + +--R 6 7 +--R 24a b - 24a +--R * +--R 3 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 6a b - 57a b - 741a b - 691a b - 1371a b - 722a b +--R + +--R 7 2 +--R 216a b +--R * +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 9 3 2 2 7 +--R (4b - 4a)c + (2b - 6a b + 36a b)c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 6b - 50a b - 370a b - 244a b + 336a b + 94a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 4b - 48a b - 378a b - 580a b - 1030a b - 166a b +--R + +--R 6 +--R 302a b +--R * +--R 3 +--R c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R 24a b - 68a b - 654a b - 532a b - 1218a b - 324a b +--R + +--R 8 +--R 84a b +--R * +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (4b - 4a)c + (- b - 33a b - 9a b + 11a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 5b - 36a b - 85a b - 347a b - 66a b + 107a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 7a b - 58a b - 322a b - 397a b - 688a b - 39a b +--R + +--R 7 +--R 55a +--R * +--R 3 +--R c +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 +--R (36a b - 57a b - 351a b - 293a b - 623a b - 70a b + 14a )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 7 +--R (- 2b - 2a b - 24a b - 4a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 2b - 2a b - 30a b - 68a b - 136a b - 2a )c +--R + +--R 2 5 3 4 4 3 5 2 6 7 3 +--R (- 2a b - 36a b - 128a b - 156a b - 236a b - 2a )c +--R + +--R 4 5 5 4 6 3 7 2 8 9 +--R (24a b - 30a b - 108a b - 98a b - 168a b - 4a )c +--R * +--R cos(x) +--R + +--R 2 2 3 7 4 2 3 3 2 4 5 5 +--R (a b - 3a b - 6a )c + (a b - 3a b - 9a b - 16a b - 21a )c +--R + +--R 3 4 4 3 5 2 6 7 3 +--R (a b - 10a b - 19a b - 27a b - 33a )c +--R + +--R 5 4 6 3 7 2 8 9 +--R (6a b - 7a b - 15a b - 14a b - 18a )c +--R * +--R sin(x) +--R + +--R 4 3 3 6 6 5 2 4 3 3 4 +--R (- 3b - 2a b + 3a b)c + (3b + 5a b - 6a b - 4a b )c +--R + +--R 8 7 2 6 3 5 2 10 9 2 8 3 7 +--R (3b + 8a b + 12a b - 13a b )c - 3b + a b - 6a b + 2a b +--R * +--R 9 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (2b - 2a )c + (- 5b - 15a b - a b + 6a b + 5a )c +--R + +--R 5 2 4 3 3 4 2 4 +--R (33a b + 13a b - 30a b - 18a b )c +--R + +--R 8 7 2 6 3 5 4 4 2 10 9 +--R (3b + 27a b + 51a b + 42a b - 57a b )c - 4b - 21a b +--R + +--R 2 8 3 7 4 6 +--R - a b - 42a b + 14a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (4b - 4a )c + (3b - 19a b - 17a b + 7a b + 10a )c +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (- 7b + 22a b + 117a b - 9a b - 66a b - 25a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 2 10 +--R (- 7b + 12a b + 65a b + 149a b + 46a b - 97a b )c - b +--R + +--R 9 2 8 3 7 4 6 5 5 +--R - 29a b - 65a b - 37a b - 126a b + 42a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 6 +--R (- 2b + 2a )c + (5b + 13a b - 17a b - a b)c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (- b - 31a b + 96a b + 175a b - 48a b - 68a b - 11a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 2 +--R (- 8b - 51a b - 10a b + 53a b + 257a b + 6a b - 79a b )c +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R - 7a b - 91a b - 119a b - 147a b - 210a b + 70a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (- 8b + 8a )c + (- 5b + 29a b + 31a b - 15a b - 12a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (3b - 22a b - 81a b + 171a b + 134a b - 39a b - 26a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 51a b - 147a b - 117a b + 3a b + 276a b - 18a b +--R + +--R 7 +--R - 30a b +--R * +--R 2 +--R c +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R - 21a b - 161a b - 147a b - 287a b - 210a b + 70a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (- 2b + 2a )c + (- 3b + 3a b + 37a b - a b - 8a )c +--R + +--R 5 2 4 3 3 4 2 5 6 4 +--R (- a b - 93a b - 109a b + 167a b + 72a b - 8a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R b - 4a b - 128a b - 217a b - 238a b - a b + 179a b +--R + +--R 7 8 +--R - 8a b - 4a +--R * +--R 2 +--R c +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R - 35a b - 175a b - 133a b - 329a b - 126a b + 42a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (4b - 4a )c + (5b - 9a b - 11a b + 13a b + 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (b - 6a b - 27a b - 147a b - 52a b + 93a b + 26a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 2 +--R (3a b - 14a b - 160a b - 179a b - 234a b + 17a b + 63a b)c +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 +--R - 35a b - 119a b - 91a b - 231a b - 42a b + 14a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (2b - 2a )c + (3b - a b - 19a b - 3a b + 4a )c +--R + +--R 6 5 2 4 3 3 4 2 6 4 +--R (b - a b - 16a b - 35a b - 100a b + 23a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 2 +--R (3a b - 18a b - 102a b - 87a b - 126a b + 9a b + 9a )c +--R + +--R 5 5 6 4 7 3 8 2 9 10 +--R - 21a b - 49a b - 45a b - 97a b - 6a b + 2a +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 6 +--R (a b - 3a b - 8a b)c +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (a b - 3a b - 11a b - 16a b - 29a b)c +--R + +--R 3 5 4 4 5 3 6 2 7 2 6 4 7 3 +--R (a b - 10a b - 29a b - 27a b - 37a b)c - 7a b - 11a b +--R + +--R 8 2 9 +--R - 14a b - 22a b +--R * +--R cos(x) +--R + +--R 3 4 6 3 3 4 2 5 6 4 +--R (- a b - a )c + (- a b - a b - 4a b - 4a )c +--R + +--R 5 3 6 2 7 8 2 7 3 8 2 9 10 +--R (- 2a b - 2a b - 5a b - 5a )c - a b - a b - 2a b - 2a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 2 3 7 +--R (- 4b + 4a b + 12a b - 12a )c +--R + +--R 5 4 2 3 3 2 5 +--R (- 4b + 4a b + 4a b - 4a b )c +--R * +--R 8 +--R sin(x) +--R + +--R 2 2 8 4 3 2 2 6 +--R (16b + 6a b - 6a )c + (16b - 12a b + 44a b )c +--R + +--R 5 2 4 4 +--R (- 18a b + 18a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 6 +--R (12b + 28a b - 24a )c + (- 4b + 44a b + 12a b + 44a b)c +--R + +--R 6 5 2 4 3 3 4 +--R (- 16b + 16a b - 20a b + 20a b )c +--R * +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (8b + 2a b - 10a )c + (8b - 14a b + 22a b + 34a b - 2a )c +--R + +--R 5 2 4 3 3 4 2 4 +--R (- 16a b + 16a b - 2a b + 2a b )c +--R * +--R 7 +--R sin(x) +--R + +--R 9 3 2 2 7 +--R (- 16b - 12a)c + (48b + 66a b - 74a b)c +--R + +--R 5 4 2 3 5 6 2 5 3 +--R (64b + 48a b + 116a b )c + (- 30a b + 30a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 10b - 26a)c + (48b + 184a b - 2a b - 94a )c +--R + +--R 5 4 2 3 3 2 5 +--R (50b + 218a b + 68a b + 348a b )c +--R + +--R 7 6 2 5 3 4 3 +--R (- 8b + 8a b - 82a b + 82a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (8b - 4a)c + (48b + 58a b + 138a b - 92a )c +--R + +--R 5 4 2 3 3 2 4 5 +--R (40b + 46a b + 218a b + 46a b + 334a b)c +--R + +--R 6 2 5 3 4 4 3 3 +--R (- 16a b + 16a b - 74a b + 74a b )c +--R * +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 2b + 14a)c + (2b + 50a b - 16a b + 20a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (4b + 36a b - 12a b + 72a b + 30a b + 98a )c +--R + +--R 2 5 3 4 4 3 5 2 3 +--R (- 8a b + 8a b - 22a b + 22a b )c +--R * +--R 6 +--R sin(x) +--R + +--R 10 2 2 8 4 3 2 2 6 +--R 4c + (- 36b - 90a b + 2a )c + (60b + 24a b - 104a b )c +--R + +--R 6 5 2 4 4 7 2 6 2 +--R (100b + 102a b + 194a b )c + (- 12a b + 12a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 10 2 2 8 +--R 4c + (- 44b - 164a b - 112a )c +--R + +--R 4 3 2 2 3 6 +--R (- 24b + 356a b + 108a b - 316a b)c +--R + +--R 6 5 2 4 3 3 4 2 6 3 5 2 +--R (24b + 520a b + 324a b + 716a b )c + (- 48a b + 48a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 10 2 8 +--R - 4c + (- 40a b - 152a )c +--R + +--R 4 3 2 2 3 4 6 +--R (52b + 74a b + 590a b - 14a b - 210a )c +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (48b + 114a b + 822a b + 318a b + 1074a b )c +--R + +--R 3 5 4 4 2 +--R (- 72a b + 72a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 10 2 8 +--R 4c + (60a b + 20a )c +--R + +--R 4 3 2 2 3 4 6 +--R (28b + 124a b + 32a b + 444a b - 96a )c +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (32b + 64a b + 92a b + 548a b + 104a b + 744a b)c +--R + +--R 4 4 5 3 2 +--R (- 48a b + 48a b )c +--R * +--R cos(x) +--R + +--R 10 2 2 8 +--R 8c + (8b - 6a b + 74a )c +--R + +--R 3 2 2 3 4 6 +--R (26a b + 74a b - 62a b + 146a )c +--R + +--R 5 2 4 3 3 4 2 5 6 4 +--R (32a b + 16a b + 2a b + 146a b + 8a b + 192a )c +--R + +--R 5 3 6 2 2 +--R (- 12a b + 12a b )c +--R * +--R 5 +--R sin(x) +--R + +--R 9 3 2 2 7 +--R - 4b c + (- 12b - 78a b - 86a b)c +--R + +--R 5 4 2 3 5 7 6 2 5 3 +--R (68b - 36a b - 52a b )c + (76b + 42a b + 194a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (20b - 4a)c + (98b - 226a b - 410a b - 86a )c +--R + +--R 5 4 2 3 3 2 5 +--R (76b + 260a b - 60a b - 156a b )c +--R + +--R 7 6 2 5 3 4 3 +--R (- 2b + 482a b + 230a b + 850a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (28b + 12a)c + (72b + 36a b - 448a b - 324a )c +--R + +--R 5 4 2 3 3 2 4 5 +--R (60b + 94a b + 610a b + 126a b - 210a b)c +--R + +--R 7 6 2 5 3 4 4 3 3 +--R (16b + 70a b + 1058a b + 422a b + 1554a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (16b + 24a)c + (- 70b + 174a b + 122a b - 234a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 70b + 182a b + 76a b + 836a b + 198a b - 102a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 3 +--R (16b + 32a b + 190a b + 1074a b + 322a b + 1486a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (16b + 28a)c + (- 16b - 50a b + 266a b + 160a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 32b - 46a b + 186a b - 14a b + 634a b + 52a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 3 +--R (32a b + 16a b + 162a b + 522a b + 88a b + 740a b)c +--R * +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (4b + 20a)c + (8b - 16a b - 4a b + 164a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (4b - 36a b + 12a b + 76a b - 60a b + 204a )c +--R + +--R 2 5 4 3 5 2 7 3 +--R (16a b + 44a b + 100a b + 152a )c +--R * +--R 4 +--R sin(x) +--R + +--R 10 2 2 8 +--R 4c + (- 40b - 78a b + 14a )c +--R + +--R 4 3 2 2 6 6 5 2 4 4 +--R (16b - 36a b - 172a b )c + (88b + 42a b + 54a b )c +--R + +--R 8 2 6 2 +--R (28b + 80a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 8 +--R (- 100b - 124a b - 48a )c +--R + +--R 4 3 2 2 3 6 +--R (36b + 68a b - 356a b - 428a b)c +--R + +--R 6 5 2 4 3 3 4 +--R (136b + 384a b + 188a b + 252a b )c +--R + +--R 7 2 6 3 5 2 +--R (192a b + 24a b + 432a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 10 2 2 8 +--R - 12c + (12b - 14a b - 102a )c +--R + +--R 4 3 2 2 3 4 6 +--R (100b + 294a b - 42a b - 754a b - 246a )c +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (76b + 332a b + 656a b + 514a b + 462a b )c +--R + +--R 7 2 6 3 5 4 4 2 +--R (24a b + 516a b + 96a b + 984a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 8 +--R (160b + 136a b + 8a )c +--R + +--R 4 3 2 2 3 4 6 +--R (128b + 248a b + 480a b - 72a b - 416a )c +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (- 32b + 112a b + 184a b + 776a b + 832a b + 368a b)c +--R + +--R 2 6 3 5 4 4 5 3 2 +--R (96a b + 704a b + 144a b + 1216a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 10 2 2 8 +--R 12c + (88b + 182a b + 106a )c +--R + +--R 4 3 2 2 3 6 +--R (28b + 72a b + 368a b + 604a b)c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 48b - 110a b + 38a b - 52a b + 740a b + 648a b +--R + +--R 6 +--R 104a +--R * +--R 4 +--R c +--R + +--R 3 5 4 4 5 3 6 2 2 +--R (144a b + 516a b + 96a b + 864a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 8 +--R (- 12b + 84a b + 88a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 28b + 4a b + 20a b + 372a b + 328a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 16b - 80a b - 76a b - 4a b - 56a b + 432a b +--R + +--R 6 +--R 184a +--R * +--R 4 +--R c +--R + +--R 4 4 5 3 6 2 7 2 +--R (96a b + 192a b + 24a b + 336a b)c +--R * +--R cos(x) +--R + +--R 10 2 2 8 +--R - 4c + (- 12b + 6a b + 30a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 8b - 10a b - 10a b + 22a b + 158a )c +--R + +--R 5 2 4 3 3 4 2 5 6 4 +--R (- 16a b - 32a b + 2a b - 6a b - 16a b + 108a )c +--R + +--R 5 3 6 2 8 2 +--R (24a b + 28a b + 56a )c +--R * +--R 3 +--R sin(x) +--R + +--R 9 3 2 2 7 +--R (12b + 12a)c + (- 56b - 138a b - 6a b)c +--R + +--R 4 2 3 5 7 6 2 5 3 +--R (- 96a b - 172a b )c + (72b + 54a b + 130a b )c +--R + +--R 9 2 7 +--R (4b + 8a b )c +--R * +--R 7 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (54b + 18a)c + (- 60b - 380a b - 318a b + 6a )c +--R + +--R 5 4 2 3 3 2 5 +--R (- 30b + 2a b - 468a b - 532a b )c +--R + +--R 7 6 2 5 3 4 3 8 3 6 +--R (84b + 428a b + 354a b + 614a b )c + (28a b + 56a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (12b + 12a)c + (20b - 174a b - 546a b - 156a )c +--R + +--R 5 4 2 3 3 2 4 5 +--R (36b + 170a b + 226a b - 894a b - 582a b)c +--R + +--R 7 6 2 5 3 4 4 3 3 +--R (28b + 356a b + 920a b + 994a b + 1206a b )c +--R + +--R 2 7 4 5 +--R (84a b + 168a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 78b - 10a)c + (26b + 326a b + 12a b - 252a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (108b + 336a b + 876a b + 516a b - 798a b - 218a )c +--R + +--R 7 2 5 3 4 4 3 5 2 3 +--R (4b + 508a b + 984a b + 1558a b + 1226a b )c +--R + +--R 3 6 5 4 +--R (140a b + 280a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 28b - 28a)c + (56b + 338a b + 526a b + 48a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (68b + 332a b + 600a b + 1324a b + 488a b - 272a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 16b - 34a b - 182a b + 252a b + 628a b + 1432a b +--R + +--R 6 +--R 640a b +--R * +--R 3 +--R c +--R + +--R 4 5 6 3 +--R (140a b + 280a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (26b - 2a)c + (56b + 112a b + 346a b + 238a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (22b + 74a b + 268a b + 548a b + 960a b + 180a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 8b - 40a b - 102a b - 290a b - 16a b + 296a b +--R + +--R 6 7 +--R 720a b + 136a +--R * +--R 3 +--R c +--R + +--R 5 4 7 2 +--R (84a b + 168a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (4b + 4a)c + (- 4b + 22a b + 74a b + 124a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 8b + 2a b + 18a b + 98a b + 286a b + 296a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 16a b - 32a b - 86a b - 174a b - 32a b + 108a b +--R + +--R 7 +--R 152a +--R * +--R 3 +--R c +--R + +--R 6 3 8 +--R (28a b + 56a b)c +--R * +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 2b - 6a)c + (- 6b - 10a b + 8a b + 24a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 4b - 4a b - 4a b - 4a b + 30a b + 62a )c +--R + +--R 2 5 3 4 4 3 5 2 7 3 7 2 9 +--R (- 8a b - 8a b - 22a b - 38a b + 20a )c + (4a b + 8a )c +--R * +--R 2 +--R sin(x) +--R + +--R 2 2 8 4 3 2 2 6 +--R (12b + 18a b + 6a )c + (- 28b - 72a b - 24a b )c +--R + +--R 6 5 2 4 4 8 7 2 6 2 +--R (- 12b - 78a b - 122a b )c + (28b + 12a b + 68a b )c +--R * +--R 8 +--R cos(x) +--R + +--R 10 2 2 8 +--R - 8c + (36b + 68a b + 32a )c +--R + +--R 3 2 2 3 6 +--R (- 244a b - 284a b - 68a b)c +--R + +--R 6 5 2 4 3 3 4 +--R (- 16b - 120a b - 436a b - 444a b )c +--R + +--R 8 7 2 6 3 5 2 +--R (28b + 192a b + 128a b + 384a b )c +--R * +--R 7 +--R cos(x) +--R + +--R 10 2 2 8 +--R - 8c + (20b + 76a b + 40a )c +--R + +--R 4 3 2 2 3 4 6 +--R (56b - 66a b - 610a b - 370a b - 38a )c +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (28b + 26a b - 150a b - 926a b - 610a b )c +--R + +--R 7 2 6 3 5 4 4 2 +--R (168a b + 516a b + 504a b + 912a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 10 2 2 8 +--R 16c + (- 20b - 44a b - 8a )c +--R + +--R 3 2 2 3 4 6 +--R (244a b - 108a b - 516a b - 152a )c +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (36b + 264a b + 472a b + 228a b - 952a b - 376a b)c +--R + +--R 7 2 6 3 5 4 4 5 3 2 +--R (- 24a b + 396a b + 704a b + 1032a b + 1168a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 10 2 2 8 +--R 16c + (- 28b - 112a b - 52a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 32b + 106a b + 594a b + 58a b - 146a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 12b + 206a b + 682a b + 1194a b + 594a b - 480a b +--R + +--R 6 +--R - 88a +--R * +--R 4 +--R c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 2 +--R (- 12a b - 108a b + 464a b + 516a b + 1228a b + 852a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 10 2 2 8 +--R - 8c + (- 20b - 20a b - 32a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 4b + 4a b + 372a b + 548a b + 76a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 8b + 24a b + 380a b + 780a b + 1280a b + 432a b +--R + +--R 6 +--R - 96a +--R * +--R 4 +--R c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 2 +--R (- 48a b - 192a b + 276a b + 192a b + 864a b + 336a b)c +--R * +--R 3 +--R cos(x) +--R + +--R 10 2 2 8 +--R - 8c + (- 4b + 20a b + 8a )c +--R + +--R 4 3 2 2 3 4 6 +--R (4b + 34a b + 42a b + 306a b + 178a )c +--R + +--R 5 2 4 3 3 4 2 5 6 4 +--R (14a b + 10a b + 294a b + 438a b + 640a b + 108a )c +--R + +--R 3 5 4 4 5 3 6 2 7 8 2 +--R (- 72a b - 168a b + 72a b + 28a b + 336a b + 56a )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 8 +--R (4b - 4a b + 8a )c +--R + +--R 4 3 2 2 3 4 6 +--R (4b - 4a b + 20a b + 36a b + 76a )c +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (4a b - 4a b + 92a b + 112a b + 124a )c +--R + +--R 4 4 5 3 6 2 8 2 +--R (- 48a b - 72a b + 4a b + 56a )c +--R * +--R cos(x) +--R + +--R 2 8 3 2 2 3 4 6 +--R (- 2a b - 2a )c + (- 2a b - 2a b + 6a b + 6a )c +--R + +--R 3 3 4 2 5 6 4 5 3 6 2 2 +--R (- 2a b - 2a b + 8a b + 8a )c + (- 12a b - 12a b )c +--R * +--R sin(x) +--R + +--R 3 2 2 7 5 4 2 3 5 +--R (4b + 6a b + 6a b)c + (- 4b - 12a b - 4a b )c +--R + +--R 7 6 2 5 3 9 2 7 +--R (- 4b - 18a b - 34a b )c + (4b + 8a b )c +--R * +--R 9 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 4b - 4a)c + (6b + 26a b + 22a b + 10a )c +--R + +--R 5 4 2 3 3 2 5 +--R (4b - 44a b - 64a b - 24a b )c +--R + +--R 7 6 2 5 3 4 3 +--R (- 2b - 46a b - 126a b - 154a b )c +--R + +--R 9 8 2 7 3 6 +--R (4b + 28a b + 8a b + 56a b )c +--R * +--R 8 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 8b - 8a)c + (- 4b + 24a b + 40a b + 20a )c +--R + +--R 5 4 2 3 3 2 4 5 +--R (16b + 2a b - 166a b - 134a b - 38a b)c +--R + +--R 7 6 2 5 3 4 4 3 3 +--R (12b - 2a b - 122a b - 342a b - 274a b )c +--R + +--R 8 2 7 3 6 4 5 +--R (28a b + 84a b + 56a b + 168a b )c +--R * +--R 7 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (4b + 4a)c + (- 2b - 14a b + 14a b + 2a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (2b + 70a b - 32a b - 248a b - 126a b - 18a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 3 +--R (8b + 88a b + 74a b - 82a b - 466a b - 238a b )c +--R + +--R 2 7 3 6 4 5 5 4 +--R (84a b + 140a b + 168a b + 280a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (16b + 16a)c + (12b - 20a b - 52a b - 20a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 8b + 18a b + 174a b - 34a b - 146a b - 44a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 4b + 54a b + 258a b + 302a b + 106a b - 336a b +--R + +--R 6 +--R - 100a b +--R * +--R 3 +--R c +--R + +--R 3 6 4 5 5 4 6 3 +--R (140a b + 140a b + 280a b + 280a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (4b + 4a)c + (2b - 2a b - 46a b - 18a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 4b - 20a b + 88a b + 256a b + 24a b - 24a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 2b - 14a b + 142a b + 386a b + 492a b + 196a b +--R + +--R 6 7 +--R - 120a b - 16a +--R * +--R 3 +--R c +--R + +--R 4 5 5 4 6 3 7 2 +--R (140a b + 84a b + 280a b + 168a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 8b - 8a)c + (- 12b - 8a b + 8a b - 4a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 4b - 6a b - 2a b + 158a b + 178a b + 28a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 6a b - 18a b + 182a b + 310a b + 392a b + 108a b +--R + +--R 7 +--R - 16a +--R * +--R 3 +--R c +--R + +--R 5 4 6 3 7 2 8 +--R (84a b + 28a b + 168a b + 56a b)c +--R * +--R 3 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 4b - 4a)c + (- 6b - 10a b + 10a b + 6a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 2b - 6a b + 8a b + 16a b + 102a b + 42a )c +--R + +--R 2 5 3 4 4 3 5 2 6 7 3 +--R (- 6a b - 10a b + 114a b + 126a b + 148a b + 20a )c +--R + +--R 6 3 7 2 8 9 +--R (28a b + 4a b + 56a b + 8a )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 3 7 +--R (- 2a b - 2a b + 4a )c +--R + +--R 4 2 3 3 2 4 5 5 +--R (- 2a b - 2a b + 10a b + 6a b + 16a )c +--R + +--R 3 4 4 3 5 2 6 7 3 7 2 9 +--R (- 2a b - 2a b + 28a b + 20a b + 20a )c + (4a b + 8a )c +--R * +--R cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 4 2 2 4 6 6 2 4 4 2 4 8 +--R ((- 2b + 8a b - 6a )c + (- 2b + 4a b - 2a b )c )sin(x) +--R + +--R 3 2 3 7 5 4 2 3 3 2 5 +--R (12b + 7a b - 3a )c + (12b - 2a b + 24a b + 14a b )c +--R + +--R 6 3 4 3 +--R (- 9a b + 9a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 7 +--R (6b + 28a b - 6a b - 12a )c +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 2b + 28a b + 20a b + 44a b + 6a b)c +--R + +--R 7 2 5 4 3 3 +--R (- 8b - 2a b + 10a b )c +--R * +--R cos(x) +--R + +--R 3 2 3 7 +--R (4b + 5a b - 9a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (4b - 3a b + 8a b + 24a b + 24a b - 9a )c +--R + +--R 6 3 4 5 2 3 +--R (- 8a b + 7a b + a b )c +--R * +--R 7 +--R sin(x) +--R + +--R 2 2 8 4 3 2 2 3 6 +--R (- 20b - 10a b - 6a )c + (28b + 45a b - 28a b - 29a b)c +--R + +--R 6 5 2 4 3 3 4 7 3 5 2 +--R (48b + 40a b + 114a b + 26a b )c + (- 15a b + 15a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 8 +--R (- 13b - 38a b - 9a )c +--R + +--R 4 3 2 2 3 4 6 +--R (16b + 144a b + 31a b - 88a b - 39a )c +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (25b + 182a b + 95a b + 304a b + 78a b )c +--R + +--R 8 2 6 4 4 2 +--R (- 4b - 37a b + 41a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 8 +--R (8b - 18a b - 10a )c +--R + +--R 4 3 2 2 3 4 6 +--R (28b + 33a b + 146a b - 65a b - 62a )c +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (20b + 43a b + 180a b + 84a b + 286a b + 71a b)c +--R + +--R 7 3 5 5 3 2 +--R (- 8a b - 29a b + 37a b )c +--R * +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (- b + 10a b - 5a )c + (b + 30a b + 5a b + 26a b - 30a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (2b + 20a b + 12a b + 46a b + 35a b + 96a b + 17a )c +--R + +--R 2 6 4 4 6 2 2 +--R (- 4a b - 7a b + 11a b )c +--R * +--R 6 +--R sin(x) +--R + +--R 9 3 2 2 3 7 +--R (11b + a)c + (- 59b - 54a b - 26a b - a )c +--R + +--R 5 4 2 3 3 2 5 +--R (5b + 27a b - 140a b - 32a b )c +--R + +--R 7 6 2 5 3 4 3 8 3 6 +--R (75b + 76a b + 198a b + 47a b )c + (- 6a b + 6a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (10b + 10a)c + (- 54b - 236a b - 102a b - 40a )c +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 52b + 126a b + 72a b - 384a b - 118a b)c +--R + +--R 7 6 2 5 3 4 4 3 3 +--R (12b + 372a b + 322a b + 720a b + 158a b )c +--R + +--R 2 7 4 5 +--R (- 24a b + 24a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 9 2 2 3 7 +--R (- 12b + 8a)c + (- 140a b - 246a b - 46a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (36b - 67a b + 372a b - 112a b - 372a b - 85a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 3 +--R (24b + 81a b + 618a b + 420a b + 996a b + 237a b )c +--R + +--R 3 6 5 4 +--R (- 36a b + 36a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 6b - 6a)c + (- 8b + 42a b - 116a b - 46a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (14b + 96a b - 62a b + 338a b - 206a b - 128a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 3 +--R (16b + 48a b + 78a b + 420a b + 226a b + 624a b + 172a b)c +--R + +--R 4 5 6 3 +--R (- 24a b + 24a b )c +--R * +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (5b - 5a)c + (5b - 8a b + 46a b - 31a )c +--R + +--R 4 2 3 3 2 4 5 5 +--R (13a b + 60a b - 44a b + 87a b - 52a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 3 +--R (16a b + 24a b + 9a b + 99a b + 52a b + 150a b + 46a )c +--R + +--R 5 4 7 2 +--R (- 6a b + 6a b )c +--R * +--R 5 +--R sin(x) +--R + +--R 10 2 2 8 +--R - 2c + (31b - a b - 4a )c +--R + +--R 4 3 2 2 3 6 +--R (- 55b - 42a b - 12a b - 41a b)c +--R + +--R 6 5 2 4 3 3 4 +--R (- 31b - a b - 212a b - 22a b )c +--R + +--R 8 7 2 6 3 5 2 +--R (57b + 40a b + 156a b + 59a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 10 2 2 8 +--R - 2c + (44b + 79a b - 5a )c +--R + +--R 4 3 2 2 3 4 6 +--R (3b - 327a b - 239a b - 106a b - 41a )c +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 44b - 71a b - 153a b - 776a b - 66a b )c +--R + +--R 8 7 2 6 3 5 4 4 2 +--R (- b + 335a b + 261a b + 730a b + 235a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 10 2 2 8 +--R 4c + (- 16b + 90a b + 50a )c +--R + +--R 4 3 2 2 3 4 6 +--R (4b - 206a b - 736a b - 240a b - 90a )c +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (32b - 253a b + 48a b - 476a b - 1038a b - 93a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 2 +--R (8b + 43a b + 754a b + 550a b + 1368a b + 397a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 10 2 2 8 +--R 4c + (- 24b - 50a b + 54a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 71b - 12a b - 388a b - 526a b - 47a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (- 35b + 62a b - 369a b + 328a b - 667a b - 612a b - 47a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 2 +--R (8b + 24a b + 111a b + 822a b + 508a b + 1284a b + 363a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 10 2 2 8 +--R - 2c + (5b - 49a b - 26a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 9b - 104a b + 76a b - 263a b - 74a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (- 16b - 39a b + 76a b - 248a b + 335a b - 420a b - 138a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 2 +--R (16a b + 24a b + 89a b + 437a b + 210a b + 604a b + 180a b)c +--R * +--R cos(x) +--R + +--R 10 2 8 4 3 2 2 3 4 6 +--R - 2c + (11a b - 29a )c + (4b - 5a b - 45a b + 80a b - 72a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (2b - 16a b - 12a b + 46a b - 76a b + 95a b - 85a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 2 +--R (8a b + 8a b + 22a b + 91a b + 31a b + 114a b + 38a )c +--R * +--R 4 +--R sin(x) +--R + +--R 9 3 2 2 3 7 +--R (- 5b + a)c + (26b - 49a b - 46a b + 5a )c +--R + +--R 5 4 2 3 3 2 5 +--R (- 12b - 14a b + 2a b - 64a b )c +--R + +--R 7 6 2 5 3 4 3 +--R (- 22b + 43a b - 98a b - 3a b )c +--R + +--R 9 8 2 7 3 6 +--R (21b + 7a b + 54a b + 26a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 8b - 8a)c + (6b + 50a b - 80a b - 40a )c +--R + +--R 5 4 2 3 3 2 4 5 +--R (- 6b - 158a b - 54a b - 52a b - 170a b)c +--R + +--R 7 6 2 5 3 4 4 3 3 +--R (- 20b - 78a b + 8a b - 540a b + 6a b )c +--R + +--R 8 2 7 3 6 4 5 +--R (138a b + 66a b + 312a b + 132a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (7b - 11a)c + (- 23b + 164a b + 149a b - 50a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 7b - 58a b - 567a b - 137a b - 138a b - 101a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 3 +--R (23b - 221a b - 221a b - 460a b - 1092a b + 51a b )c +--R + +--R 8 2 7 3 6 4 5 5 4 +--R (12a b + 375a b + 201a b + 750a b + 282a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (16b + 16a)c + (32b + 16a b + 252a b + 100a )c +--R + +--R 4 2 3 3 2 4 5 5 +--R (- 20a b - 436a b - 848a b - 8a b - 80a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 16b - 20a b - 672a b - 320a b - 1036a b - 1040a b +--R + +--R 6 +--R 64a b +--R * +--R 3 +--R c +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R (48a b + 540a b + 284a b + 960a b + 328a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (b + 19a)c + (28b - 33a b - 36a b + 121a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (3b - 131a b - 62a b - 624a b - 463a b + 69a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 24b - 79a b - 126a b - 797a b - 156a b - 1006a b +--R + +--R 6 7 +--R - 474a b + 22a +--R * +--R 3 +--R c +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R (72a b + 435a b + 201a b + 690a b + 222a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 8b - 8a)c + (- 14b + 6a b - 100a b - 36a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 14b - 34a b - 158a b + 28a b - 370a b - 52a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - 8b - 48a b - 78a b - 100a b - 410a b + 22a b - 494a b +--R + +--R 7 +--R - 84a +--R * +--R 3 +--R c +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (48a b + 186a b + 66a b + 264a b + 84a b)c +--R * +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 3b - 9a)c + (- 7b - 10a b + 5a b - 52a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 4b - 9a b - 21a b - 47a b + 53a b - 100a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 3 +--R (- 8a b - 24a b - 15a b - 17a b - 84a b + 23a b - 99a )c +--R + +--R 5 4 6 3 7 2 8 9 +--R (12a b + 33a b + 7a b + 42a b + 14a )c +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 8 4 3 2 2 3 6 +--R (- 3b + 9a b + 6a )c + (2b - 83a b - 90a b - 9a b)c +--R + +--R 6 5 2 4 3 3 4 +--R (4b - 48a b - 56a b - 52a b )c +--R + +--R 8 7 2 6 3 5 2 10 9 2 8 3 7 +--R (2b + 45a b + 22a b + 31a b )c + 3b + a b + 6a b + 2a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 2 8 +--R (15b + 15a b + 6a )c +--R + +--R 4 3 2 2 3 4 6 +--R (14b - 68a b - 325a b - 198a b - 3a )c +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- 11b - 68a b - 155a b - 154a b - 164a b )c +--R + +--R 8 7 2 6 3 5 4 4 2 9 2 8 +--R (- 10b + 36a b + 195a b + 30a b + 137a b )c + 21a b + 7a b +--R + +--R 3 7 4 6 +--R 42a b + 14a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 8 +--R (21b - 3a b - 6a )c +--R + +--R 4 3 2 2 3 4 6 +--R (3b + 98a b - 57a b - 330a b - 102a )c +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (- 21b - 2a b - 171a b - 73a b - 168a b - 189a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 2 +--R (- 3b - 103a b + 15a b + 176a b - 120a b + 263a b )c +--R + +--R 2 8 3 7 4 6 5 5 +--R 63a b + 21a b + 126a b + 42a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 8 +--R (- 15b - 5a b - 8a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 19b + 93a b + 448a b + 165a b - 115a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (- 2b + 15a b + 33a b - 211a b + 174a b - 94a b - 75a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 2b - 83a b - 441a b - 259a b - 324a b - 348a b +--R + +--R 6 2 +--R 273a b +--R * +--R 2 +--R c +--R + +--R 3 7 4 6 5 5 6 4 +--R 105a b + 35a b + 210a b + 70a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 8 +--R (- 17b + 11a b + 10a )c +--R + +--R 4 3 2 2 3 4 6 +--R (8b + 29a b + 216a b + 487a b + 128a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (17b - 7a b + 28a b - 200a b - 201a b + 267a b - 24a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 8b - 25a b - 278a b - 835a b - 560a b - 830a b +--R + +--R 6 2 7 +--R - 354a b + 150a b +--R * +--R 2 +--R c +--R + +--R 4 6 5 5 6 4 7 3 +--R 105a b + 35a b + 210a b + 70a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (b - 3a b + 14a )c + (16b + 18a b - 65a b + 72a b + 171a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (11b - 3a b - 114a b - 54a b - 404a b - 105a b + 117a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 4b - 24a b - 71a b - 366a b - 763a b - 474a b +--R + +--R 6 2 7 8 +--R - 750a b - 162a b + 34a +--R * +--R 2 +--R c +--R + +--R 5 5 6 4 7 3 8 2 +--R 63a b + 21a b + 126a b + 42a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 8 +--R (- b - 17a b - 10a )c +--R + +--R 4 3 2 2 3 4 6 +--R (- 5b - 12a b - 21a b - 116a b - 18a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (- 4b - 3a b - 41a b - 115a b - 51a b - 282a b - 16a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 8a b - 24a b - 59a b - 215a b - 330a b - 177a b +--R + +--R 7 8 +--R - 331a b - 28a +--R * +--R 2 +--R c +--R + +--R 6 4 7 3 8 2 9 +--R 21a b + 7a b + 42a b + 14a b +--R * +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (- b - 7a b - 12a )c + (- 3b - 11a b - 10a b - 7a b - 45a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (- 2b - 4a b - 4a b - 21a b - 26a b - 5a b - 82a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 2 7 3 +--R (- 4a b - 8a b - 15a b - 47a b - 54a b - 23a b - 61a )c + 3a b +--R + +--R 8 2 9 10 +--R a b + 6a b + 2a +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 2 3 7 +--R (b + 12a b + 12a b + 3a )c +--R + +--R 5 4 2 3 3 2 5 +--R (- 5b - 43a b - 58a b - 18a b )c +--R + +--R 7 6 2 5 3 4 3 +--R (- b - 42a b - 72a b - 41a b )c +--R + +--R 9 8 2 7 3 6 +--R (5b + 13a b + 22a b + 20a b )c +--R * +--R 8 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 4b - 4a)c + (10b + 34a b + 44a b + 16a )c +--R + +--R 5 4 2 3 3 2 4 5 +--R (16b - 60a b - 246a b - 212a b - 46a b)c +--R + +--R 6 2 5 3 4 4 3 3 +--R (- 58a b - 232a b - 280a b - 142a b )c +--R + +--R 9 8 2 7 3 6 4 5 +--R (- 2b + 40a b + 86a b + 116a b + 108a b )c +--R * +--R 7 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 4b - 4a)c + (17b + 33a b + 37a b + 17a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (31b + 80a b - 165a b - 463a b - 246a b - 25a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 3 +--R (3b + 22a b - 121a b - 383a b - 408a b - 185a b )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R (- 7b - 21a b + 97a b + 195a b + 246a b + 246a b )c +--R * +--R 6 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (8b + 8a)c + (6b - 2a b - 32a b - 12a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 8b + 112a b + 254a b - 60a b - 306a b - 92a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 6b + 68a b + 186a b + 50a b - 142a b - 264a b +--R + +--R 6 +--R - 108a b +--R * +--R 3 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R (- 54a b - 108a b + 46a b + 140a b + 260a b + 304a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (8b + 8a)c + (- 13b - 31a b - 43a b - 25a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 25b - 34a b + 271a b + 525a b + 144a b - 61a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - 4b - a b + 199a b + 383a b + 309a b + 202a b - 64a b +--R + +--R 7 +--R - 24a +--R * +--R 3 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R - 6a b - 165a b - 277a b - 175a b - 143a b + 130a b +--R + +--R 7 2 +--R 216a b +--R * +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 9 3 2 2 7 +--R (- 4b - 4a)c + (- 18b - 26a b + 4a b)c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- 10b - 46a b + 2a b + 304a b + 412a b + 94a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 3 +--R (4b - 24a b + 2a b + 200a b + 250a b + 266a b + 206a b)c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R - 24a b - 260a b - 378a b - 340a b - 354a b + 12a b +--R + +--R 8 +--R 84a b +--R * +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 9 3 2 2 3 7 +--R (- 4b - 4a)c + (- 5b - 13a b - a b + 11a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (- b - 2a b - 43a b - 41a b + 112a b + 107a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 3 +--R (7a b - 48a b - 28a b + 41a b - 48a b + 69a b + 55a )c +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 +--R (- 36a b - 225a b - 279a b - 265a b - 287a b - 14a b + 14a )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 7 +--R (2b - 6a b - 16a b - 4a )c +--R + +--R 5 4 2 3 3 2 4 5 5 +--R (2b - 6a b - 10a b - 32a b - 60a b - 2a )c +--R + +--R 2 5 3 4 4 3 5 2 6 7 3 +--R (2a b - 40a b - 36a b - 44a b - 112a b - 2a )c +--R + +--R 4 5 5 4 6 3 7 2 8 9 +--R (- 24a b - 102a b - 104a b - 98a b - 112a b - 4a )c +--R * +--R cos(x) +--R + +--R 2 2 3 7 4 2 3 3 2 4 5 5 +--R (- a b - 5a b - 6a )c + (- a b - 5a b - 3a b - 10a b - 21a )c +--R + +--R 3 4 4 3 5 2 6 7 3 +--R (- a b - 12a b - 11a b - 19a b - 33a )c +--R + +--R 5 4 6 3 7 2 8 9 +--R (- 6a b - 19a b - 15a b - 14a b - 18a )c +--R * +--R sin(x) +--R + +--R 4 3 2 2 3 6 6 5 2 4 3 3 4 +--R (b + 4a b + 6a b + 3a b)c + (- b - 7a b - 10a b - 4a b )c +--R + +--R 8 7 2 6 3 5 2 10 9 2 8 3 7 +--R (- b - 10a b - 22a b - 13a b )c + b + a b + 2a b + 2a b +--R * +--R 9 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (- 2b - 4a b - 2a )c + (b + 11a b + 21a b + 16a b + 5a )c +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (4b - 11a b - 51a b - 54a b - 18a b )c +--R + +--R 8 7 2 6 3 5 4 4 2 9 2 8 3 7 +--R (b - 19a b - 75a b - 112a b - 57a b )c + 7a b + 7a b + 14a b +--R + +--R 4 6 +--R 14a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (- 4b - 8a b - 4a )c + (- b + 5a b + 23a b + 27a b + 10a )c +--R + +--R 6 5 2 4 3 3 4 2 5 4 +--R (9b + 24a b - 49a b - 143a b - 104a b - 25a b)c +--R + +--R 8 7 2 6 3 5 4 4 5 3 2 10 9 +--R (5b + 10a b - 57a b - 193a b - 228a b - 97a b )c - b - a b +--R + +--R 2 8 3 7 4 6 5 5 +--R 19a b + 19a b + 42a b + 42a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 6 +--R (2b + 4a b + 2a )c + (3b - a b - 3a b + a b)c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (b + 39a b + 64a b - 73a b - 174a b - 86a b - 11a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 2 9 +--R (37a b + 64a b - 29a b - 209a b - 232a b - 79a b )c - 7a b +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R - 7a b + 21a b + 21a b + 70a b + 70a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (8b + 16a b + 8a )c + (7b + 9a b - 21a b - 35a b - 12a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (- 5b - 4a b + 93a b + 137a b - 12a b - 83a b - 26a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - 4b + 3a b + 111a b + 185a b + 109a b - 60a b - 118a b +--R + +--R 7 +--R - 30a b +--R * +--R 2 +--R c +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R - 21a b - 21a b - 7a b - 7a b + 70a b + 70a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (2b + 4a b + 2a )c + (- b + a b - 9a b - 19a b - 8a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (- 4b - 21a b - 5a b + 147a b + 191a b + 48a b - 8a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - b - 18a b + 14a b + 169a b + 254a b + 195a b + 59a b +--R + +--R 7 8 +--R - 24a b - 4a +--R * +--R 2 +--R c +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 +--R - 35a b - 35a b - 49a b - 49a b + 42a b + 42a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (- 4b - 8a b - 4a )c + (- 7b - 17a b - 3a b + 9a b + 2a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (- 3b - 12a b - 29a b + 11a b + 126a b + 121a b + 26a )c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 2 +--R (- 3a b - 32a b + 22a b + 131a b + 158a b + 125a b + 47a b)c +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 +--R - 35a b - 35a b - 63a b - 63a b + 14a b + 14a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 8 4 3 2 2 3 4 6 +--R (- 2b - 4a b - 2a )c + (- 3b - 11a b - 9a b + 3a b + 4a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 4 +--R (- b - 7a b - 8a b - 19a b + 2a b + 42a b + 23a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 2 +--R (- 3a b - 28a b + 12a b + 39a b + 22a b + 29a b + 9a )c +--R + +--R 5 5 6 4 7 3 8 2 9 10 +--R - 21a b - 21a b - 41a b - 41a b + 2a b + 2a +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 6 +--R (- a b - 5a b - 4a b)c +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (- a b - 5a b - a b - 10a b - 13a b)c +--R + +--R 3 5 4 4 5 3 6 2 7 2 6 4 7 3 8 2 +--R (- a b - 12a b - a b - 7a b - 17a b)c - 7a b - 7a b - 14a b +--R + +--R 9 +--R - 14a b +--R * +--R cos(x) +--R + +--R 3 4 6 3 3 4 2 5 6 4 +--R (- a b - a )c + (- a b - a b - 4a b - 4a )c +--R + +--R 5 3 6 2 7 8 2 7 3 8 2 9 10 +--R (- 2a b - 2a b - 5a b - 5a )c - a b - a b - 2a b - 2a +--R / +--R 4 3 2 2 9 +--R (8b - 16a b + 8a b )c +--R + +--R 6 5 3 3 4 2 7 +--R (16b - 32a b + 32a b - 16a b )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 5 +--R (8b - 16a b - 8a b + 32a b - 8a b - 16a b + 8a b )c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 9 +--R (16a b - 32a b + 16a b)c +--R + +--R 5 2 4 4 2 5 7 +--R (32a b - 64a b + 64a b - 32a b)c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 5 +--R (16a b - 32a b - 16a b + 64a b - 16a b - 32a b + 16a b)c +--R * +--R cos(x) +--R + +--R 2 2 3 4 9 2 4 3 3 5 6 7 +--R (8a b - 16a b + 8a )c + (16a b - 32a b + 32a b - 16a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 5 +--R (8a b - 16a b - 8a b + 32a b - 8a b - 16a b + 8a )c +--R * +--R 7 +--R sin(x) +--R + +--R 3 2 2 10 +--R (- 24b + 32a b - 8a b)c +--R + +--R 5 2 3 3 2 4 8 +--R (- 16b + 64a b - 64a b + 16a b)c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 6 +--R (40b - 96a b + 40a b + 64a b - 72a b + 32a b - 8a b)c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 4 +--R (32b - 64a b - 32a b + 128a b - 32a b - 64a b + 32a b )c +--R * +--R 3 +--R cos(x) +--R + +--R 3 2 2 3 10 +--R (- 16b - 24a b + 48a b - 8a )c +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (- 32b + 48a b - 64a b + 128a b - 96a b + 16a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 16b + 168a b - 304a b + 40a b + 272a b - 200a b +--R + +--R 6 7 +--R 48a b - 8a +--R * +--R 6 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R 96a b - 192a b - 96a b + 384a b - 96a b - 192a b +--R + +--R 7 2 +--R 96a b +--R * +--R 4 +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 2 3 10 +--R (8b - 48a b + 24a b + 16a )c +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (16b - 96a b + 128a b - 64a b + 48a b - 32a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 8b - 48a b + 200a b - 272a b - 40a b + 304a b +--R + +--R 6 7 +--R - 168a b + 16a +--R * +--R 6 +--R c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R 96a b - 192a b - 96a b + 384a b - 96a b - 192a b +--R + +--R 8 +--R 96a b +--R * +--R 4 +--R c +--R * +--R cos(x) +--R + +--R 2 2 3 10 4 2 3 3 2 5 8 +--R (8a b - 32a b + 24a )c + (16a b - 64a b + 64a b - 16a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 6 +--R (8a b - 32a b + 72a b - 64a b - 40a b + 96a b - 40a )c +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 4 +--R (32a b - 64a b - 32a b + 128a b - 32a b - 64a b + 32a )c +--R * +--R 6 +--R sin(x) +--R + +--R 2 2 11 +--R (18b - 20a b + 2a )c +--R + +--R 4 3 2 2 3 4 9 +--R (- 64b + 80a b - 52a b + 40a b - 4a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 132b + 120a b + 176a b - 200a b + 54a b - 20a b +--R + +--R 6 +--R 2a +--R * +--R 7 +--R c +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 5 +--R (- 80a b + 180a b - 40a b - 160a b + 120a b - 20a b )c +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R 50b - 100a b - 50a b + 200a b - 50a b - 100a b +--R + +--R 6 4 +--R 50a b +--R * +--R 3 +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 11 +--R (16b - 16a )c +--R + +--R 4 3 2 2 3 4 9 +--R (- 48b - 200a b + 256a b - 40a b + 32a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 144b - 200a b + 352a b + 520a b - 592a b + 80a b +--R + +--R 6 +--R - 16a +--R * +--R 7 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 80b + 200a b - 320a b + 360a b + 80a b - 520a b +--R + +--R 6 2 7 +--R 320a b - 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92b + 20a b + 332a b - 192a b - 236a b + 172a b +--R + +--R 6 3 +--R - 4a b +--R * +--R 4 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R 38b - 76a b - 38a b + 152a b - 38a b - 76a b +--R + +--R 6 5 +--R 38a b +--R * +--R 2 +--R c +--R * +--R 5 +--R cos(x) +--R + +--R 12 3 2 2 3 10 +--R (- 4b + 4a)c + (64b + 78a b - 132a b - 10a )c +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (- 24b - 360a b + 264a b - 164a b + 276a b + 8a )c +--R + +--R 7 6 2 5 3 4 4 3 +--R - 256b - 748a b + 1024a b + 1032a b - 1008a b +--R + +--R 5 2 6 7 +--R 98a b - 140a b - 2a +--R * +--R 6 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 164b - 124a b + 248a b + 996a b - 764a b - 860a b +--R + +--R 6 3 7 2 +--R 680a b - 12a b +--R * +--R 4 +--R c +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 190a b - 380a b - 190a b + 760a b - 190a b +--R + +--R 6 5 7 4 +--R - 380a b + 190a b +--R * +--R 2 +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 12 3 2 2 3 10 +--R (8b - 8a)c + (- 52b + 192a b - 84a b - 56a )c +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (- 124b - 256a b - 352a b + 464a b + 132a b + 136a )c +--R + +--R 7 6 2 5 3 4 4 3 +--R - 60b - 1120a b - 232a b + 2096a b + 1096a b +--R + +--R 5 2 6 7 +--R - 1664a b - 44a b - 72a +--R * +--R 6 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R 4b - 664a b + 416a b + 816a b + 664a b - 1160a b +--R + +--R 6 3 7 2 8 +--R - 1072a b + 1008a b - 12a b +--R * +--R 4 +--R c +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R 380a b - 760a b - 380a b + 1520a b - 380a b +--R + +--R 7 4 8 3 +--R - 760a b + 380a b +--R * +--R 2 +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 12 3 2 2 3 10 +--R (8b - 8a)c + (- 56b - 84a b + 192a b - 52a )c +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (- 136b - 132a b - 464a b + 352a b + 256a b + 124a )c +--R + +--R 7 6 2 5 3 4 4 3 +--R - 72b - 44a b - 1664a b + 1096a b + 2096a b +--R + +--R 5 2 6 7 +--R - 232a b - 1120a b - 60a +--R * +--R 6 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 12a b - 1008a b + 1072a b + 1160a b - 664a b +--R + +--R 6 3 7 2 8 9 +--R - 816a b - 416a b + 664a b - 4a +--R * +--R 4 +--R c +--R + +--R 3 8 4 7 5 6 6 5 7 4 +--R 380a b - 760a b - 380a b + 1520a b - 380a b +--R + +--R 8 3 9 2 +--R - 760a b + 380a b +--R * +--R 2 +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 12 3 2 2 3 10 +--R (- 4b + 4a)c + (- 10b - 132a b + 78a b + 64a )c +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (- 8b - 276a b + 164a b - 264a b + 360a b + 24a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 2b - 140a b + 98a b - 1008a b + 1032a b + 1024a b +--R + +--R 6 7 +--R - 748a b - 256a +--R * +--R 6 +--R c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 +--R 12a b - 680a b + 860a b + 764a b - 996a b - 248a b +--R + +--R 8 9 +--R 124a b + 164a +--R * +--R 4 +--R c +--R + +--R 4 7 5 6 6 5 7 4 8 3 9 2 +--R 190a b - 380a b - 190a b + 760a b - 190a b - 380a b +--R + +--R 10 +--R 190a b +--R * +--R 2 +--R c +--R * +--R cos(x) +--R + +--R 12 3 2 2 3 10 +--R (- 4b + 4a)c + (- 8b + 6a b - 60a b + 62a )c +--R + +--R 5 2 3 3 2 4 5 8 +--R (- 4b - 128a b + 140a b - 40a b + 32a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 2a b - 68a b + 82a b - 208a b + 224a b + 200a b +--R + +--R 7 +--R - 228a +--R * +--R 6 +--R c +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 4 +--R (4a b - 172a b + 236a b + 192a b - 332a b - 20a b + 92a )c +--R + +--R 5 6 6 5 7 4 8 3 9 2 10 11 2 +--R (38a b - 76a b - 38a b + 152a b - 38a b - 76a b + 38a )c +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 11 +--R (- 14b + 12a b + 2a )c +--R + +--R 4 3 2 2 3 4 9 +--R (78b - 60a b + 10a b - 24a b - 4a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 7 +--R (52b - 40a b - 196a b + 144a b + 26a b + 12a b + 2a )c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 172b + 120a b + 132a b - 64a b + 90a b - 84a b +--R + +--R 6 2 +--R - 22a b +--R * +--R 5 +--R c +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R - 118b + 60a b + 322a b - 176a b - 234a b + 116a b +--R + +--R 6 4 +--R 30a b +--R * +--R 3 +--R c +--R + +--R 12 11 2 10 3 9 4 8 5 7 +--R 14b - 28a b - 14a b + 56a b - 14a b - 28a b +--R + +--R 6 6 +--R 14a b +--R * +--R c +--R * +--R 6 +--R cos(x) +--R + +--R 2 2 11 +--R (- 16b + 16a )c +--R + +--R 4 3 2 2 3 4 9 +--R (96b + 212a b - 232a b - 44a b - 32a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 64b - 160a b - 160a b - 392a b + 544a b + 88a b +--R + +--R 6 +--R 16a +--R * +--R 7 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 224b - 872a b + 912a b + 1024a b - 560a b + 60a b +--R + +--R 6 2 7 +--R - 296a b - 44a b +--R * +--R 5 +--R c +--R + +--R 10 9 2 8 3 7 4 6 +--R - 176b - 416a b + 656a b + 1288a b - 1120a b +--R + +--R 5 5 6 4 7 3 +--R - 992a b + 640a b + 120a b +--R * +--R 3 +--R c +--R + +--R 11 2 10 3 9 4 8 5 7 6 6 +--R 84a b - 168a b - 84a b + 336a b - 84a b - 168a b +--R + +--R 7 5 +--R 84a b +--R * +--R c +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 11 +--R (26b - 36a b + 10a )c +--R + +--R 4 3 2 2 3 4 9 +--R (- 32b + 352a b - 10a b - 268a b - 42a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 172b - 8a b - 560a b - 56a b + 98a b + 644a b +--R + +--R 6 +--R 54a +--R * +--R 7 +--R c +--R + +--R 8 7 2 6 3 5 4 4 +--R - 144b - 1216a b - 1000a b + 2832a b + 1880a b +--R + +--R 5 3 6 2 7 8 +--R - 1696a b - 294a b - 340a b - 22a +--R * +--R 5 +--R c +--R + +--R 10 9 2 8 3 7 4 6 +--R - 30b - 820a b - 250a b + 2200a b + 1610a b +--R + +--R 5 5 6 4 7 3 8 2 +--R - 2780a b - 1510a b + 1400a b + 180a b +--R * +--R 3 +--R c +--R + +--R 2 10 3 9 4 8 5 7 6 6 +--R 210a b - 420a b - 210a b + 840a b - 210a b +--R + +--R 7 5 8 4 +--R - 420a b + 210a b +--R * +--R c +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 11 +--R (32b - 32a )c +--R + +--R 4 3 2 2 3 4 9 +--R (- 64b - 168a b + 464a b - 168a b - 64a )c +--R + +--R 6 5 2 4 4 2 5 6 7 +--R (- 224b - 456a b - 176a b + 176a b + 456a b + 224a )c +--R + +--R 8 7 2 6 3 5 4 4 +--R - 128b - 408a b - 2192a b + 688a b + 4080a b +--R + +--R 5 3 6 2 7 8 +--R 688a b - 2192a b - 408a b - 128a +--R * +--R 5 +--R c +--R + +--R 9 2 8 3 7 4 6 6 4 +--R - 120a b - 1520a b + 800a b + 3440a b - 3440a b +--R + +--R 7 3 8 2 9 +--R - 800a b + 1520a b + 120a b +--R * +--R 3 +--R c +--R + +--R 3 9 4 8 5 7 6 6 7 5 +--R 280a b - 560a b - 280a b + 1120a b - 280a b +--R + +--R 8 4 9 3 +--R - 560a b + 280a b +--R * +--R c +--R * +--R 3 +--R cos(x) +--R + +--R 2 2 11 +--R (- 10b + 36a b - 26a )c +--R + +--R 4 3 2 2 3 4 9 +--R (- 42b - 268a b - 10a b + 352a b - 32a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 54b - 644a b - 98a b + 56a b + 560a b + 8a b +--R + +--R 6 +--R 172a +--R * +--R 7 +--R c +--R + +--R 8 7 2 6 3 5 4 4 +--R - 22b - 340a b - 294a b - 1696a b + 1880a b +--R + +--R 5 3 6 2 7 8 +--R 2832a b - 1000a b - 1216a b - 144a +--R * +--R 5 +--R c +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R - 180a b - 1400a b + 1510a b + 2780a b - 1610a b +--R + +--R 7 3 8 2 9 10 +--R - 2200a b + 250a b + 820a b + 30a +--R * +--R 3 +--R c +--R + +--R 4 8 5 7 6 6 7 5 8 4 9 3 +--R 210a b - 420a b - 210a b + 840a b - 210a b - 420a b +--R + +--R 10 2 +--R 210a b +--R * +--R c +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 11 +--R (- 16b + 16a )c +--R + +--R 4 3 2 2 3 4 9 +--R (- 32b - 44a b - 232a b + 212a b + 96a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 16b - 88a b - 544a b + 392a b + 160a b + 160a b +--R + +--R 6 +--R - 64a +--R * +--R 7 +--R c +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 44a b - 296a b + 60a b - 560a b + 1024a b +--R + +--R 6 2 7 8 +--R 912a b - 872a b - 224a +--R * +--R 5 +--R c +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R - 120a b - 640a b + 992a b + 1120a b - 1288a b +--R + +--R 8 2 9 10 +--R - 656a b + 416a b + 176a +--R * +--R 3 +--R c +--R + +--R 5 7 6 6 7 5 8 4 9 3 10 2 +--R 84a b - 168a b - 84a b + 336a b - 84a b - 168a b +--R + +--R 11 +--R 84a b +--R * +--R c +--R * +--R cos(x) +--R + +--R 2 2 11 +--R (- 2b - 12a b + 14a )c +--R + +--R 4 3 2 2 3 4 9 +--R (- 4b - 24a b + 10a b - 60a b + 78a )c +--R + +--R 6 5 2 4 3 3 4 2 5 6 7 +--R (- 2b - 12a b - 26a b - 144a b + 196a b + 40a b - 52a )c +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R - 22a b - 84a b + 90a b - 64a b + 132a b + 120a b +--R + +--R 8 +--R - 172a +--R * +--R 5 +--R c +--R + +--R 4 6 5 5 6 4 7 3 8 2 9 +--R - 30a b - 116a b + 234a b + 176a b - 322a b - 60a b +--R + +--R 10 +--R 118a +--R * +--R 3 +--R c +--R + +--R 6 6 7 5 8 4 9 3 10 2 11 12 +--R (14a b - 28a b - 14a b + 56a b - 14a b - 28a b + 14a )c +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 2 10 +--R (- 18b + 12a b + 6a b)c +--R + +--R 5 4 2 3 3 2 4 8 +--R (42b - 20a b + 14a b - 24a b - 12a b)c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 6 +--R (68b - 40a b - 148a b + 64a b + 38a b + 12a b + 6a b)c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 60b + 24a b + 20a b + 16a b + 78a b - 44a b +--R + +--R 6 3 +--R - 34a b +--R * +--R 4 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 +--R - 66b + 28a b + 174a b - 64a b - 142a b + 36a b +--R + +--R 6 5 +--R 34a b +--R * +--R 2 +--R c +--R + +--R 13 12 2 11 3 10 4 9 5 8 6 7 +--R 2b - 4a b - 2a b + 8a b - 2a b - 4a b + 2a b +--R * +--R 7 +--R cos(x) +--R + +--R 3 2 2 3 10 +--R (- 24b - 18a b + 36a b + 6a )c +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (64b + 198a b - 124a b - 54a b - 72a b - 12a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 96b + 100a b - 344a b - 460a b + 392a b + 174a b +--R + +--R 6 7 +--R 36a b + 6a +--R * +--R 6 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R - 96b - 452a b + 280a b + 484a b + 32a b + 98a b +--R + +--R 6 3 7 2 +--R - 244a b - 102a b +--R * +--R 4 +--R c +--R + +--R 11 10 2 9 3 8 4 7 +--R - 104b - 322a b + 436a b + 870a b - 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34b - 380a b - 666a b - 1328a b + 1392a b +--R + +--R 5 4 6 3 7 2 8 9 +--R 3184a b - 80a b - 1504a b - 472a b - 112a +--R * +--R 4 +--R c +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 340a b - 1400a b + 1170a b + 3740a b - 870a b +--R + +--R 7 4 8 3 9 2 10 +--R - 3560a b - 130a b + 1220a b + 170a b +--R * +--R 2 +--R c +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R 70a b - 140a b - 70a b + 280a b - 70a b - 140a b +--R + +--R 10 3 +--R 70a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 2 2 3 10 +--R (- 24b - 6a b + 60a b - 30a )c +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (- 48b - 114a b - 300a b + 142a b + 304a b + 16a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 24b - 210a b - 828a b + 226a b + 760a b + 216a b +--R + +--R 6 7 +--R - 232a b + 92a +--R * +--R 6 +--R c +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 102a b - 468a b - 286a b - 400a b + 1456a b +--R + +--R 6 3 7 2 8 9 +--R 1472a b - 872a b - 688a b - 112a +--R * +--R 4 +--R c +--R + +--R 3 8 4 7 5 6 6 5 7 4 +--R - 340a b - 880a b + 1394a b + 2148a b - 1566a b +--R + +--R 8 3 9 2 10 11 +--R - 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128a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 88a b + 680a b + 560a b + 1680a b - 368a b - 2192a b +--R + +--R 7 +--R - 448a +--R * +--R 6 +--R c +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 240a b + 1520a b - 464a b - 2704a b - 128a b +--R + +--R 8 9 +--R 1184a b + 352a +--R * +--R 4 +--R c +--R + +--R 5 6 6 5 7 4 8 3 9 2 10 2 +--R (- 168a b + 168a b + 336a b - 336a b - 168a b + 168a b)c +--R * +--R cos(x) +--R + +--R 12 3 2 2 3 10 +--R (4b + 28a)c + (8b + 56a b + 36a b + 156a )c +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (4b + 28a b + 80a b + 368a b - 24a b - 104a )c +--R + +--R 2 5 3 4 4 3 5 2 6 7 6 +--R (44a b + 212a b + 32a b + 160a b - 104a b - 344a )c +--R + +--R 4 5 5 4 6 3 7 2 8 9 4 +--R (60a b + 292a b - 176a b - 528a b + 116a b + 236a )c +--R + +--R 6 5 7 4 8 3 9 2 10 11 2 +--R (- 28a b + 28a b + 56a b - 56a b - 28a b + 28a )c +--R * +--R 3 +--R sin(x) +--R + +--R 2 11 4 3 2 2 3 9 +--R (36b + 12a b)c + (- 84b - 44a b - 72a b - 24a b)c +--R + +--R 6 5 2 4 3 3 4 2 5 7 +--R (- 136b - 56a b + 240a b + 112a b + 36a b + 12a b)c +--R + +--R 8 7 2 6 4 4 5 3 5 +--R (120b + 72a b + 32a b - 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1416a b - 1584a b + 528a b +--R + +--R 6 4 7 3 +--R 880a b + 120a b +--R * +--R 3 +--R c +--R + +--R 11 3 9 5 7 7 5 +--R (- 84a b + 252a b - 252a b + 84a b )c +--R * +--R 5 +--R cos(x) +--R + +--R 2 2 11 +--R (- 26b - 16a b + 10a )c +--R + +--R 4 3 2 2 3 4 9 +--R (32b - 288a b - 630a b - 352a b - 42a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 172b + 352a b + 920a b + 1536a b + 1494a b + 752a b +--R + +--R 6 +--R 54a +--R * +--R 7 +--R c +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 144b + 1504a b + 3720a b + 1888a b - 2824a b - 3008a b +--R + +--R 6 2 7 8 +--R - 1018a b - 384a b - 22a +--R * +--R 5 +--R c +--R + +--R 10 9 2 8 4 6 5 5 6 4 +--R 30b + 880a b + 1950a b - 3810a b - 2640a b + 1650a b +--R + +--R 7 3 8 2 +--R 1760a b + 180a b +--R * +--R 3 +--R c +--R + +--R 2 10 4 8 6 6 8 4 +--R (- 210a b + 630a b - 630a b + 210a b )c +--R * +--R 4 +--R cos(x) +--R + +--R 2 2 11 4 3 3 4 9 +--R (- 32b - 64a b - 32a )c + (64b + 296a b - 296a b - 64a )c +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 224b + 904a b + 1536a b + 1712a b + 1536a b + 904a b +--R + +--R 6 +--R 224a +--R * +--R 7 +--R c +--R + +--R 8 7 2 6 3 5 5 3 6 2 +--R 128b + 664a b + 3264a b + 4768a b - 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24a b - 60a b - 88a b - 84a b - 48a b - 12a b)c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R - 40a b - 108a b - 40a b + 150a b + 200a b + 96a b + 24a b +--R + +--R 8 +--R 6a b +--R * +--R 4 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R 4b + 24a b + 76a b + 120a b + 84a b - 24a b - 124a b +--R + +--R 7 4 8 3 +--R - 120a b - 40a b +--R * +--R 2 +--R c +--R + +--R 13 12 2 11 3 10 4 9 5 8 6 7 +--R 2b + 32a b + 96a b + 48a b - 156a b - 192a b + 16a b +--R + +--R 7 6 8 5 +--R 112a b + 42a b +--R * +--R 7 +--R cos(x) +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (- 8b - 22a b - 8a b + 20a b + 16a b + 2a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - 8b - 28a b - 72a b - 116a b - 112a b - 76a b - 32a b +--R + +--R 7 +--R - 4a +--R * +--R 6 +--R c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 8b + 24a b - 40a b - 116a b + 72a b + 330a b + 280a b +--R + +--R 7 2 8 9 +--R 96a b + 16a b + 2a +--R * +--R 4 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R 8b + 44a b + 136a b + 244a b + 216a b + 12a b - 200a b +--R + +--R 7 4 8 3 9 2 +--R - 260a b - 160a b - 40a b +--R * +--R 2 +--R c +--R + +--R 12 2 11 3 10 5 8 6 7 7 6 8 5 +--R 14a b + 112a b + 224a b - 420a b - 336a b + 112a b + 224a b +--R + +--R 9 4 +--R 70a b +--R * +--R 6 +--R cos(x) +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (- 2b - 28a b - 56a b - 32a b + 2a b + 4a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 6 +--R (- 8a b - 24a b - 48a b - 64a b - 48a b - 24a b - 8a )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 6b + 68a b + 150a b + 72a b - 24a b + 160a b + 330a b +--R + +--R 7 2 8 9 +--R 200a b + 42a b + 4a +--R * +--R 4 +--R c +--R + +--R 11 10 2 9 3 8 4 7 5 6 6 5 +--R 4b + 48a b + 160a b + 312a b + 356a b + 120a b - 220a b +--R + +--R 7 4 8 3 9 2 10 +--R - 360a b - 280a b - 120a b - 20a b +--R * +--R 2 +--R c +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 8 5 +--R 42a b + 224a b + 308a b - 168a b - 672a b - 336a b + 252a b +--R + +--R 9 4 10 3 +--R 280a b + 70a b +--R * +--R 5 +--R cos(x) +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (4b + 2a b - 32a b - 56a b - 28a b - 2a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 6 +--R (8b + 24a b + 48a b + 64a b + 48a b + 24a b + 8a b)c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 4b + 42a b + 200a b + 330a b + 160a b - 24a b + 72a b +--R + +--R 7 2 8 9 +--R 150a b + 68a b + 6a +--R * +--R 4 +--R c +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 20a b + 120a b + 280a b + 360a b + 220a b - 120a b +--R + +--R 7 4 8 3 9 2 10 11 +--R - 356a b - 312a b - 160a b - 48a b - 4a +--R * +--R 2 +--R c +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 9 4 +--R 70a b + 280a b + 252a b - 336a b - 672a b - 168a b + 308a b +--R + +--R 10 3 11 2 +--R 224a b + 42a b +--R * +--R 4 +--R cos(x) +--R + +--R 5 4 2 3 3 2 4 5 8 +--R (2b + 16a b + 20a b - 8a b - 22a b - 8a )c +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 7 6 +--R (4b + 32a b + 76a b + 112a b + 116a b + 72a b + 28a b + 8a )c +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 3 +--R 2b + 16a b + 96a b + 280a b + 330a b + 72a b - 116a b +--R + +--R 7 2 8 9 +--R - 40a b + 24a b + 8a +--R * +--R 4 +--R c +--R + +--R 2 9 3 8 4 7 5 6 6 5 7 4 8 3 +--R 40a b + 160a b + 260a b + 200a b - 12a b - 216a b - 244a b +--R + +--R 9 2 10 11 +--R - 136a b - 44a b - 8a +--R * +--R 2 +--R c +--R + +--R 4 9 5 8 6 7 7 6 8 5 10 3 11 2 +--R 70a b + 224a b + 112a b - 336a b - 420a b + 224a b + 112a b +--R + +--R 12 +--R 14a b +--R * +--R 3 +--R cos(x) +--R + +--R 4 2 3 3 2 4 5 8 +--R (6a b + 24a b + 28a b + 8a b - 2a )c +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 6 +--R (12a b + 48a b + 84a b + 88a b + 60a b + 24a b + 4a )c +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 7 2 +--R 6a b + 24a b + 96a b + 200a b + 150a b - 40a b - 108a b +--R + +--R 8 +--R - 40a b +--R * +--R 4 +--R c +--R + +--R 3 8 4 7 5 6 6 5 7 4 8 3 9 2 +--R 40a b + 120a b + 124a b + 24a b - 84a b - 120a b - 76a b +--R + +--R 10 11 +--R - 24a b - 4a +--R * +--R 2 +--R c +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 11 2 +--R 42a b + 112a b + 16a b - 192a b - 156a b + 48a b + 96a b +--R + +--R 12 13 +--R 32a b + 2a +--R * +--R 2 +--R cos(x) +--R + +--R 2 3 3 2 4 5 8 +--R (6a b + 16a b + 14a b + 4a )c +--R + +--R 2 5 3 4 4 3 5 2 6 6 +--R (12a b + 32a b + 36a b + 24a b + 8a b)c +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 9 4 +--R (6a b + 16a b + 42a b + 68a b + 24a b - 40a b - 36a b - 8a )c +--R + +--R 4 7 5 6 6 5 7 4 8 3 9 2 10 2 +--R (20a b + 48a b + 24a b - 24a b - 36a b - 24a b - 8a b)c +--R + +--R 6 7 7 6 8 5 9 4 10 3 11 2 12 13 +--R 14a b + 32a b - 6a b - 60a b - 30a b + 24a b + 22a b + 4a +--R * +--R cos(x) +--R + +--R 3 2 4 5 8 3 4 4 3 5 2 6 +--R (2a b + 4a b + 2a )c + (4a b + 8a b + 4a b )c +--R + +--R 3 6 4 5 5 4 6 3 8 9 4 +--R (2a b + 4a b + 6a b + 8a b - 8a b - 4a )c +--R + +--R 5 6 6 5 8 3 9 2 2 7 6 8 5 9 4 10 3 +--R (4a b + 8a b - 8a b - 4a b )c + 2a b + 4a b - 2a b - 8a b +--R + +--R 11 2 12 13 +--R - 2a b + 4a b + 2a +--R Type: Expression Integer +--E 340 + +--S 341 of 532 +t0764:= 1/(2+cos(x)+2*sin(x)) +--R +--R +--R 1 +--R (314) -------------------- +--R 2sin(x) + cos(x) + 2 +--R Type: Expression Integer +--E 341 + +--S 342 of 532 +r0764:= -2*atanh(2+tan(1/2*x)) +--R +--R +--R x +--R (315) - 2atanh(tan(-) + 2) +--R 2 +--R Type: Expression Integer +--E 342 + +--S 343 of 532 +a0764:= integrate(t0764,x) +--R +--R +--R sin(x) + 3cos(x) + 3 sin(x) + cos(x) + 1 +--R (316) - log(--------------------) + log(-------------------) +--R cos(x) + 1 cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 343 + +--S 344 of 532 +m0764:= a0764-r0764 +--R +--R +--R (317) +--R sin(x) + 3cos(x) + 3 sin(x) + cos(x) + 1 x +--R - log(--------------------) + log(-------------------) + 2atanh(tan(-) + 2) +--R cos(x) + 1 cos(x) + 1 2 +--R Type: Expression Integer +--E 344 + +--S 345 of 532 +d0764:= D(m0764,x) +--R +--R +--R (318) +--R 2 2 x 2 +--R (sin(x) + (- 4cos(x) - 4)sin(x) - cos(x) - 4cos(x) - 3)tan(-) +--R 2 +--R + +--R 2 2 x 2 +--R (8sin(x) + 8cos(x) + 8cos(x))tan(-) + 5sin(x) + (- 4cos(x) - 4)sin(x) +--R 2 +--R + +--R 2 +--R 3cos(x) - 3 +--R / +--R 2 2 x 2 +--R (sin(x) + (4cos(x) + 4)sin(x) + 3cos(x) + 6cos(x) + 3)tan(-) +--R 2 +--R + +--R 2 2 x +--R (4sin(x) + (16cos(x) + 16)sin(x) + 12cos(x) + 24cos(x) + 12)tan(-) +--R 2 +--R + +--R 2 2 +--R 3sin(x) + (12cos(x) + 12)sin(x) + 9cos(x) + 18cos(x) + 9 +--R Type: Expression Integer +--E 345 + +--S 346 of 532 +t0765:= 1/(a+a*cos(x)+c*sin(x))^2 +--R +--R +--R 1 +--R (319) ------------------------------------------------------------------- +--R 2 2 2 2 2 2 +--R c sin(x) + (2a c cos(x) + 2a c)sin(x) + a cos(x) + 2a cos(x) + a +--R Type: Expression Integer +--E 346 + +--S 347 of 532 +r0765:= -a*log(a+c*tan(1/2*x))/c^3-(c*cos(x)-a*sin(x))/c^2/(a+a*cos(x)+c*sin(x)) +--R +--R +--R (320) +--R 2 2 x 2 +--R (- a c sin(x) - a cos(x) - a )log(c tan(-) + a) + a c sin(x) - c cos(x) +--R 2 +--R ----------------------------------------------------------------------- +--R 4 3 3 +--R c sin(x) + a c cos(x) + a c +--R Type: Expression Integer +--E 347 + +--S 348 of 532 +a0765:= integrate(t0765,x) +--R +--R +--R (321) +--R 2 2 c sin(x) + a cos(x) + a +--R (- 2a c sin(x) - 2a cos(x) - 2a )log(-----------------------) +--R cos(x) + 1 +--R + +--R 2 2 2 +--R a c sin(x) + (- 2c - a )cos(x) - a +--R / +--R 4 3 3 +--R 2c sin(x) + 2a c cos(x) + 2a c +--R Type: Union(Expression Integer,...) +--E 348 + +--S 349 of 532 +m0765:= a0765-r0765 +--R +--R +--R x c sin(x) + a cos(x) + a +--R 2a log(c tan(-) + a) - 2a log(-----------------------) - a +--R 2 cos(x) + 1 +--R (322) ---------------------------------------------------------- +--R 3 +--R 2c +--R Type: Expression Integer +--E 349 + +--S 350 of 532 +d0765:= D(m0765,x) +--R +--R +--R (323) +--R 2 2 2 2 x 2 +--R ((a c cos(x) + a c)sin(x) + a cos(x) + 2a cos(x) + a )tan(-) +--R 2 +--R + +--R 2 2 x 2 2 +--R (- 2a c sin(x) - 2a c cos(x) - 2a c cos(x))tan(-) - 2a sin(x) +--R 2 +--R + +--R 2 2 2 +--R (a c cos(x) + a c)sin(x) - a cos(x) + a +--R / +--R 4 4 3 2 3 3 x +--R ((2c cos(x) + 2c )sin(x) + 2a c cos(x) + 4a c cos(x) + 2a c )tan(-) +--R 2 +--R + +--R 3 3 2 2 2 2 2 2 2 +--R (2a c cos(x) + 2a c )sin(x) + 2a c cos(x) + 4a c cos(x) + 2a c +--R Type: Expression Integer +--E 350 + +--S 351 of 532 +t0766:= 1/(a+a*cos(x)+c*sin(x))^3 +--R +--R +--R (324) +--R 1 +--R / +--R 3 3 2 2 2 +--R c sin(x) + (3a c cos(x) + 3a c )sin(x) +--R + +--R 2 2 2 2 3 3 3 2 +--R (3a c cos(x) + 6a c cos(x) + 3a c)sin(x) + a cos(x) + 3a cos(x) +--R + +--R 3 3 +--R 3a cos(x) + a +--R Type: Expression Integer +--E 351 + +--S 352 of 532 +r0766:= 1/2*(3*a^2+c^2)*log(a+c*tan(1/2*x))/c^5-1/2*(c*cos(x)-a*sin(x))/c^2/(a+a*cos(x)+c*sin(x))^2+3/2*a*(c*cos(x)-a*sin(x))/c^4/(a+a*cos(x)+c*sin(x)) +--R +--R +--R (325) +--R 4 2 2 2 3 3 3 3 +--R (c + 3a c )sin(x) + ((2a c + 6a c)cos(x) + 2a c + 6a c)sin(x) +--R + +--R 2 2 4 2 2 2 4 2 2 4 +--R (a c + 3a )cos(x) + (2a c + 6a )cos(x) + a c + 3a +--R * +--R x +--R log(c tan(-) + a) +--R 2 +--R + +--R 2 2 2 3 3 3 3 +--R - 3a c sin(x) + ((3a c - 3a c)cos(x) + a c - 3a c)sin(x) +--R + +--R 2 2 2 4 2 2 +--R 3a c cos(x) + (- c + 3a c )cos(x) +--R / +--R 7 2 6 6 2 5 2 2 5 +--R 2c sin(x) + (4a c cos(x) + 4a c )sin(x) + 2a c cos(x) + 4a c cos(x) +--R + +--R 2 5 +--R 2a c +--R Type: Expression Integer +--E 352 + +--S 353 of 532 +a0766:= integrate(t0766,x) +--R +--R +--R (326) +--R 3 3 3 3 +--R ((8a c + 24a c)cos(x) + 8a c + 24a c)sin(x) +--R + +--R 4 2 2 4 2 2 2 4 4 2 2 +--R (- 4c - 8a c + 12a )cos(x) + (8a c + 24a )cos(x) + 4c + 16a c +--R + +--R 4 +--R 12a +--R * +--R c sin(x) + a cos(x) + a +--R log(-----------------------) +--R cos(x) + 1 +--R + +--R 3 3 3 3 2 2 4 2 +--R ((12a c + 2a c)cos(x) + 4a c + 2a c)sin(x) + (17a c + 7a )cos(x) +--R + +--R 4 2 2 4 2 2 4 +--R (- 4c + 12a c + 14a )cos(x) - 5a c + 7a +--R / +--R 6 6 7 2 5 2 2 5 +--R (16a c cos(x) + 16a c )sin(x) + (- 8c + 8a c )cos(x) + 16a c cos(x) +--R + +--R 7 2 5 +--R 8c + 8a c +--R Type: Union(Expression Integer,...) +--E 353 + +--S 354 of 532 +m0766:= a0766-r0766 +--R +--R +--R (327) +--R 5 3 3 5 3 3 3 +--R ((- 8a c - 24a c )cos(x) - 8a c - 24a c )sin(x) +--R + +--R 6 2 4 4 2 2 2 4 4 2 6 +--R (4c - 8a c - 60a c )cos(x) + (- 40a c - 120a c )cos(x) - 4c +--R + +--R 2 4 4 2 +--R - 32a c - 60a c +--R * +--R 2 +--R sin(x) +--R + +--R 5 3 3 5 3 5 3 3 5 2 +--R (8a c + 8a c - 48a c)cos(x) + (8a c - 24a c - 144a c)cos(x) +--R + +--R 5 3 3 5 5 3 3 5 +--R (- 8a c - 72a c - 144a c)cos(x) - 8a c - 40a c - 48a c +--R * +--R sin(x) +--R + +--R 2 4 4 2 6 4 2 4 4 2 6 3 +--R (4a c + 8a c - 12a )cos(x) + (8a c + 8a c - 48a )cos(x) +--R + +--R 4 2 6 2 2 4 4 2 6 2 4 +--R (- 24a c - 72a )cos(x) + (- 8a c - 40a c - 48a )cos(x) - 4a c +--R + +--R 4 2 6 +--R - 16a c - 12a +--R * +--R x +--R log(c tan(-) + a) +--R 2 +--R + +--R 5 3 3 5 3 3 3 +--R ((8a c + 24a c )cos(x) + 8a c + 24a c )sin(x) +--R + +--R 6 2 4 4 2 2 2 4 4 2 6 +--R (- 4c + 8a c + 60a c )cos(x) + (40a c + 120a c )cos(x) + 4c +--R + +--R 2 4 4 2 +--R 32a c + 60a c +--R * +--R 2 +--R sin(x) +--R + +--R 5 3 3 5 3 +--R (- 8a c - 8a c + 48a c)cos(x) +--R + +--R 5 3 3 5 2 +--R (- 8a c + 24a c + 144a c)cos(x) +--R + +--R 5 3 3 5 5 3 3 5 +--R (8a c + 72a c + 144a c)cos(x) + 8a c + 40a c + 48a c +--R * +--R sin(x) +--R + +--R 2 4 4 2 6 4 2 4 4 2 6 3 +--R (- 4a c - 8a c + 12a )cos(x) + (- 8a c - 8a c + 48a )cos(x) +--R + +--R 4 2 6 2 2 4 4 2 6 2 4 +--R (24a c + 72a )cos(x) + (8a c + 40a c + 48a )cos(x) + 4a c +--R + +--R 4 2 6 +--R 16a c + 12a +--R * +--R c sin(x) + a cos(x) + a +--R log(-----------------------) +--R cos(x) + 1 +--R + +--R 5 3 3 5 3 3 3 +--R ((12a c + 26a c )cos(x) + 4a c + 26a c )sin(x) +--R + +--R 2 4 4 2 2 6 2 4 4 2 2 4 +--R (5a c + 47a c )cos(x) + (- 4c + 12a c + 94a c )cos(x) + 7a c +--R + +--R 4 2 +--R 47a c +--R * +--R 2 +--R sin(x) +--R + +--R 5 3 3 5 3 5 3 3 5 2 +--R (12a c - 2a c + 28a c)cos(x) + (4a c - 2a c + 84a c)cos(x) +--R + +--R 5 3 3 5 5 3 3 5 +--R (- 12a c + 2a c + 84a c)cos(x) - 4a c + 2a c + 28a c +--R * +--R sin(x) +--R + +--R 2 4 4 2 6 4 6 2 4 4 2 6 3 +--R (12a c + 5a c + 7a )cos(x) + (- 4c + 12a c + 10a c + 28a )cos(x) +--R + +--R 2 4 6 2 6 2 4 4 2 6 4 2 +--R (- 12a c + 42a )cos(x) + (4c - 12a c - 10a c + 28a )cos(x) - 5a c +--R + +--R 6 +--R 7a +--R / +--R 8 8 3 +--R (16a c cos(x) + 16a c )sin(x) +--R + +--R 9 2 7 2 2 7 9 2 7 2 +--R ((- 8c + 40a c )cos(x) + 80a c cos(x) + 8c + 40a c )sin(x) +--R + +--R 8 3 6 3 8 3 6 2 +--R (- 16a c + 32a c )cos(x) + (- 16a c + 96a c )cos(x) +--R + +--R 8 3 6 8 3 6 +--R (16a c + 96a c )cos(x) + 16a c + 32a c +--R * +--R sin(x) +--R + +--R 2 7 4 5 4 2 7 4 5 3 4 5 2 +--R (- 8a c + 8a c )cos(x) + (- 16a c + 32a c )cos(x) + 48a c cos(x) +--R + +--R 2 7 4 5 2 7 4 5 +--R (16a c + 32a c )cos(x) + 8a c + 8a c +--R Type: Expression Integer +--E 354 + +--S 355 of 532 +d0766:= D(m0766,x) +--R +--R +--R (328) +--R 2 7 4 5 2 2 7 4 5 2 7 +--R (- 4a c - 12a c )cos(x) + (- 8a c - 24a c )cos(x) - 4a c +--R + +--R 4 5 +--R - 12a c +--R * +--R 5 +--R sin(x) +--R + +--R 8 3 6 5 4 3 +--R (4a c - 4a c - 48a c )cos(x) +--R + +--R 8 3 6 5 4 2 +--R (4a c - 36a c - 144a c )cos(x) +--R + +--R 8 3 6 5 4 8 3 6 5 4 +--R (- 4a c - 60a c - 144a c )cos(x) - 4a c - 28a c - 48a c +--R * +--R 4 +--R sin(x) +--R + +--R 9 2 7 4 5 6 3 4 +--R (- c + 11a c + 17a c - 75a c )cos(x) +--R + +--R 2 7 4 5 6 3 3 +--R (28a c - 16a c - 300a c )cos(x) +--R + +--R 9 2 7 4 5 6 3 2 +--R (2c + 6a c - 150a c - 450a c )cos(x) +--R + +--R 2 7 4 5 6 3 9 2 7 4 5 +--R (- 28a c - 184a c - 300a c )cos(x) - c - 17a c - 67a c +--R + +--R 6 3 +--R - 75a c +--R * +--R 3 +--R sin(x) +--R + +--R 8 3 6 5 4 7 2 5 +--R (- 3a c + 9a c + 35a c - 57a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 4 +--R (- 3a c + 45a c + 67a c - 285a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 3 +--R (6a c + 54a c - 82a c - 570a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 2 +--R (6a c - 18a c - 298a c - 570a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 8 3 6 +--R (- 3a c - 63a c - 257a c - 285a c )cos(x) - 3a c - 27a c +--R + +--R 5 4 7 2 +--R - 73a c - 57a c +--R * +--R 2 +--R sin(x) +--R + +--R 2 7 4 5 6 3 8 6 +--R (- 3a c + a c + 23a c - 21a c)cos(x) +--R + +--R 2 7 4 5 6 3 8 5 +--R (- 6a c + 22a c + 78a c - 126a c)cos(x) +--R + +--R 2 7 4 5 6 3 8 4 +--R (3a c + 59a c + 45a c - 315a c)cos(x) +--R + +--R 2 7 4 5 6 3 8 3 +--R (12a c + 36a c - 140a c - 420a c)cos(x) +--R + +--R 2 7 4 5 6 3 8 2 +--R (3a c - 41a c - 255a c - 315a c)cos(x) +--R + +--R 2 7 4 5 6 3 8 2 7 4 5 +--R (- 6a c - 58a c - 162a c - 126a c)cos(x) - 3a c - 19a c +--R + +--R 6 3 8 +--R - 37a c - 21a c +--R * +--R sin(x) +--R + +--R 3 6 5 4 7 2 9 7 +--R (- a c - a c + 5a c - 3a )cos(x) +--R + +--R 3 6 5 4 7 2 9 6 +--R (- 3a c + a c + 23a c - 21a )cos(x) +--R + +--R 3 6 5 4 7 2 9 5 +--R (- a c + 15a c + 33a c - 63a )cos(x) +--R + +--R 3 6 5 4 7 2 9 4 +--R (5a c + 25a c - 5a c - 105a )cos(x) +--R + +--R 3 6 5 4 7 2 9 3 +--R (5a c + 5a c - 65a c - 105a )cos(x) +--R + +--R 3 6 5 4 7 2 9 2 +--R (- a c - 21a c - 75a c - 63a )cos(x) +--R + +--R 3 6 5 4 7 2 9 3 6 5 4 7 2 9 +--R (- 3a c - 19a c - 37a c - 21a )cos(x) - a c - 5a c - 7a c - 3a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 7 4 5 4 5 6 +--R ((8a c + 24a c )cos(x) + 24a c )sin(x) +--R + +--R 8 3 6 5 4 2 +--R (- 14a c + 12a c + 90a c )cos(x) +--R + +--R 8 3 6 5 4 8 3 6 5 4 +--R (- 4a c + 40a c + 180a c )cos(x) + 6a c + 28a c + 90a c +--R * +--R 5 +--R sin(x) +--R + +--R 9 2 7 4 5 6 3 3 +--R (2c - 48a c - 22a c + 108a c )cos(x) +--R + +--R 2 7 4 5 6 3 2 +--R (- 80a c + 20a c + 324a c )cos(x) +--R + +--R 9 4 5 6 3 9 2 7 4 5 6 3 +--R (- 2c + 106a c + 324a c )cos(x) + 4c + 32a c + 64a c + 108a c +--R * +--R 4 +--R sin(x) +--R + +--R 8 3 6 5 4 7 2 4 +--R (- 4a c - 40a c + 12a c + 48a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 3 +--R (8a c - 96a c + 72a c + 192a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 2 +--R (12a c - 28a c + 144a c + 288a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 8 3 6 +--R (8a c + 72a c + 120a c + 192a c )cos(x) + 8a c + 44a c +--R + +--R 5 4 7 2 +--R 36a c + 48a c +--R * +--R 3 +--R sin(x) +--R + +--R 9 2 7 4 5 6 3 8 5 +--R (2c - 48a c - 56a c + 80a c + 6a c)cos(x) +--R + +--R 9 2 7 4 5 6 3 8 4 +--R (- 2c - 88a c - 108a c + 304a c + 30a c)cos(x) +--R + +--R 9 2 7 4 5 6 3 8 3 +--R (- 4c + 12a c + 44a c + 416a c + 60a c)cos(x) +--R + +--R 9 2 7 4 5 6 3 8 2 +--R (4c + 100a c + 220a c + 224a c + 60a c)cos(x) +--R + +--R 9 2 7 4 5 6 3 8 9 2 7 +--R (2c + 52a c + 156a c + 16a c + 30a c)cos(x) - 2c + 4a c +--R + +--R 4 5 6 3 8 +--R 32a c - 16a c + 6a c +--R * +--R 2 +--R sin(x) +--R + +--R 8 3 6 5 4 7 2 6 +--R (10a c - 52a c - 78a c + 48a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 5 +--R (24a c - 140a c - 216a c + 228a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 4 +--R (- 6a c - 76a c - 78a c + 420a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 3 +--R (- 32a c + 96a c + 288a c + 360a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 2 +--R (- 2a c + 124a c + 342a c + 120a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 8 3 6 5 4 +--R (8a c + 44a c + 120a c - 12a c )cos(x) - 2a c + 4a c + 6a c +--R + +--R 7 2 +--R - 12a c +--R * +--R sin(x) +--R + +--R 2 7 4 5 6 3 8 7 +--R (8a c - 10a c - 28a c + 6a c)cos(x) +--R + +--R 9 2 7 4 5 6 3 8 6 +--R (- 4c + 16a c - 44a c - 108a c + 36a c)cos(x) +--R + +--R 4 5 6 3 8 5 +--R (- 62a c - 120a c + 90a c)cos(x) +--R + +--R 9 2 7 4 5 6 3 8 4 +--R (8c - 16a c - 8a c + 40a c + 120a c)cos(x) +--R + +--R 2 7 4 5 6 3 8 3 +--R (- 8a c + 58a c + 180a c + 90a c)cos(x) +--R + +--R 9 4 5 6 3 8 2 +--R (- 4c + 52a c + 132a c + 36a c)cos(x) +--R + +--R 4 5 6 3 8 +--R (14a c + 32a c + 6a c)cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 6 5 4 5 4 6 +--R ((8a c + 24a c )cos(x) + 24a c )sin(x) +--R + +--R 2 7 6 3 2 2 7 4 5 6 3 +--R (- 18a c + 90a c )cos(x) + (- 12a c + 16a c + 180a c )cos(x) +--R + +--R 2 7 4 5 6 3 +--R 2a c + 16a c + 90a c +--R * +--R 5 +--R sin(x) +--R + +--R 8 3 6 5 4 7 2 3 +--R (6a c - 52a c - 70a c + 108a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 2 +--R (4a c - 116a c - 124a c + 324a c )cos(x) +--R + +--R 8 3 6 5 4 7 2 3 6 5 4 7 2 +--R (- 6a c - 60a c - 38a c + 324a c )cos(x) + 4a c + 16a c + 108a c +--R * +--R 4 +--R sin(x) +--R + +--R 9 2 7 4 5 6 3 8 4 +--R (- c + 7a c - 23a c - 63a c + 48a c)cos(x) +--R + +--R 2 7 4 5 6 3 8 3 +--R (36a c - 112a c - 228a c + 192a c)cos(x) +--R + +--R 9 2 7 4 5 6 3 8 2 +--R (2c + 18a c - 178a c - 306a c + 288a c)cos(x) +--R + +--R 2 7 4 5 6 3 8 9 2 7 4 5 +--R (- 20a c - 112a c - 180a c + 192a c)cos(x) - c - 9a c - 23a c +--R + +--R 6 3 8 +--R - 39a c + 48a c +--R * +--R 3 +--R sin(x) +--R + +--R 8 3 6 5 4 7 2 9 5 +--R (- a c - 39a c - 21a c + 23a c + 6a )cos(x) +--R + +--R 8 3 6 5 4 7 2 9 4 +--R (- 5a c - 43a c - 41a c + 19a c + 30a )cos(x) +--R + +--R 8 3 6 5 4 7 2 9 3 +--R (2a c + 66a c - 38a c - 154a c + 60a )cos(x) +--R + +--R 8 3 6 5 4 7 2 9 2 +--R (10a c + 82a c - 78a c - 346a c + 60a )cos(x) +--R + +--R 8 3 6 5 4 7 2 9 8 3 6 +--R (- a c - 11a c - 101a c - 269a c + 30a )cos(x) - 5a c - 23a c +--R + +--R 5 4 7 2 9 +--R - 41a c - 73a c + 6a +--R * +--R 2 +--R sin(x) +--R + +--R 2 7 4 5 6 3 8 6 +--R (7a c - 51a c - 55a c + 27a c)cos(x) +--R + +--R 2 7 4 5 6 3 8 5 +--R (18a c - 118a c - 138a c + 102a c)cos(x) +--R + +--R 2 7 4 5 6 3 8 4 +--R (- 3a c - 17a c - 33a c + 105a c)cos(x) +--R + +--R 2 7 4 5 6 3 8 3 +--R (- 20a c + 132a c + 148a c - 60a c)cos(x) +--R + +--R 2 7 4 5 6 3 8 2 +--R (a c + 83a c + 87a c - 195a c)cos(x) +--R + +--R 2 7 4 5 6 3 8 2 7 4 5 6 3 +--R (2a c - 14a c - 42a c - 138a c)cos(x) - 5a c - 15a c - 31a c +--R + +--R 8 +--R - 33a c +--R * +--R sin(x) +--R + +--R 3 6 5 4 7 2 9 7 +--R (7a c - 11a c - 23a c + 3a )cos(x) +--R + +--R 8 3 6 5 4 7 2 9 6 +--R (- 4a c + 13a c - 43a c - 85a c + 15a )cos(x) +--R + +--R 3 6 5 4 7 2 9 5 +--R (- a c - 47a c - 87a c + 27a )cos(x) +--R + +--R 8 3 6 5 4 7 2 9 4 +--R (8a c - 11a c + 17a c + 35a c + 15a )cos(x) +--R + +--R 3 6 5 4 7 2 9 3 +--R (- 3a c + 63a c + 115a c - 15a )cos(x) +--R + +--R 8 3 6 5 4 7 2 9 2 +--R (- 4a c - a c + 31a c + 57a c - 27a )cos(x) +--R + +--R 3 6 5 4 7 2 9 3 6 5 4 7 2 9 +--R (- 3a c - 5a c - 5a c - 15a )cos(x) - a c - 5a c - 7a c - 3a +--R / +--R 2 10 2 2 10 2 10 5 +--R (16a c cos(x) + 32a c cos(x) + 16a c )sin(x) +--R + +--R 11 3 9 3 11 3 9 2 +--R (- 16a c + 64a c )cos(x) + (- 16a c + 192a c )cos(x) +--R + +--R 11 3 9 11 3 9 +--R (16a c + 192a c )cos(x) + 16a c + 64a c +--R * +--R 4 +--R sin(x) +--R + +--R 12 2 10 4 8 4 2 10 4 8 3 +--R (4c - 56a c + 100a c )cos(x) + (- 112a c + 400a c )cos(x) +--R + +--R 12 4 8 2 2 10 4 8 12 +--R (- 8c + 600a c )cos(x) + (112a c + 400a c )cos(x) + 4c +--R + +--R 2 10 4 8 +--R 56a c + 100a c +--R * +--R 3 +--R sin(x) +--R + +--R 11 3 9 5 7 5 +--R (12a c - 72a c + 76a c )cos(x) +--R + +--R 11 3 9 5 7 4 +--R (12a c - 216a c + 380a c )cos(x) +--R + +--R 11 3 9 5 7 3 +--R (- 24a c - 144a c + 760a c )cos(x) +--R + +--R 11 3 9 5 7 2 +--R (- 24a c + 144a c + 760a c )cos(x) +--R + +--R 11 3 9 5 7 11 3 9 5 7 +--R (12a c + 216a c + 380a c )cos(x) + 12a c + 72a c + 76a c +--R * +--R 2 +--R sin(x) +--R + +--R 2 10 4 8 6 6 6 +--R (12a c - 40a c + 28a c )cos(x) +--R + +--R 2 10 4 8 6 6 5 +--R (24a c - 160a c + 168a c )cos(x) +--R + +--R 2 10 4 8 6 6 4 +--R (- 12a c - 200a c + 420a c )cos(x) +--R + +--R 2 10 6 6 3 +--R (- 48a c + 560a c )cos(x) +--R + +--R 2 10 4 8 6 6 2 +--R (- 12a c + 200a c + 420a c )cos(x) +--R + +--R 2 10 4 8 6 6 2 10 4 8 6 6 +--R (24a c + 160a c + 168a c )cos(x) + 12a c + 40a c + 28a c +--R * +--R sin(x) +--R + +--R 3 9 5 7 7 5 7 3 9 5 7 7 5 6 +--R (4a c - 8a c + 4a c )cos(x) + (12a c - 40a c + 28a c )cos(x) +--R + +--R 3 9 5 7 7 5 5 +--R (4a c - 72a c + 84a c )cos(x) +--R + +--R 3 9 5 7 7 5 4 +--R (- 20a c - 40a c + 140a c )cos(x) +--R + +--R 3 9 5 7 7 5 3 +--R (- 20a c + 40a c + 140a c )cos(x) +--R + +--R 3 9 5 7 7 5 2 3 9 5 7 7 5 +--R (4a c + 72a c + 84a c )cos(x) + (12a c + 40a c + 28a c )cos(x) +--R + +--R 3 9 5 7 7 5 +--R 4a c + 8a c + 4a c +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 9 2 3 9 3 9 5 +--R (16a c cos(x) + 32a c cos(x) + 16a c )sin(x) +--R + +--R 2 10 4 8 3 2 10 4 8 2 +--R (- 16a c + 64a c )cos(x) + (- 16a c + 192a c )cos(x) +--R + +--R 2 10 4 8 2 10 4 8 +--R (16a c + 192a c )cos(x) + 16a c + 64a c +--R * +--R 4 +--R sin(x) +--R + +--R 11 3 9 5 7 4 3 9 5 7 3 +--R (4a c - 56a c + 100a c )cos(x) + (- 112a c + 400a c )cos(x) +--R + +--R 11 5 7 2 3 9 5 7 11 +--R (- 8a c + 600a c )cos(x) + (112a c + 400a c )cos(x) + 4a c +--R + +--R 3 9 5 7 +--R 56a c + 100a c +--R * +--R 3 +--R sin(x) +--R + +--R 2 10 4 8 6 6 5 +--R (12a c - 72a c + 76a c )cos(x) +--R + +--R 2 10 4 8 6 6 4 +--R (12a c - 216a c + 380a c )cos(x) +--R + +--R 2 10 4 8 6 6 3 +--R (- 24a c - 144a c + 760a c )cos(x) +--R + +--R 2 10 4 8 6 6 2 +--R (- 24a c + 144a c + 760a c )cos(x) +--R + +--R 2 10 4 8 6 6 2 10 4 8 6 6 +--R (12a c + 216a c + 380a c )cos(x) + 12a c + 72a c + 76a c +--R * +--R 2 +--R sin(x) +--R + +--R 3 9 5 7 7 5 6 +--R (12a c - 40a c + 28a c )cos(x) +--R + +--R 3 9 5 7 7 5 5 +--R (24a c - 160a c + 168a c )cos(x) +--R + +--R 3 9 5 7 7 5 4 3 9 7 5 3 +--R (- 12a c - 200a c + 420a c )cos(x) + (- 48a c + 560a c )cos(x) +--R + +--R 3 9 5 7 7 5 2 +--R (- 12a c + 200a c + 420a c )cos(x) +--R + +--R 3 9 5 7 7 5 3 9 5 7 7 5 +--R (24a c + 160a c + 168a c )cos(x) + 12a c + 40a c + 28a c +--R * +--R sin(x) +--R + +--R 4 8 6 6 8 4 7 4 8 6 6 8 4 6 +--R (4a c - 8a c + 4a c )cos(x) + (12a c - 40a c + 28a c )cos(x) +--R + +--R 4 8 6 6 8 4 5 4 8 6 6 8 4 4 +--R (4a c - 72a c + 84a c )cos(x) + (- 20a c - 40a c + 140a c )cos(x) +--R + +--R 4 8 6 6 8 4 3 4 8 6 6 8 4 2 +--R (- 20a c + 40a c + 140a c )cos(x) + (4a c + 72a c + 84a c )cos(x) +--R + +--R 4 8 6 6 8 4 4 8 6 6 8 4 +--R (12a c + 40a c + 28a c )cos(x) + 4a c + 8a c + 4a c +--R Type: Expression Integer +--E 355 + +--S 356 of 532 +t0767:= 1/(a+b*cos(x)+c*sin(x))^(1/2) +--R +--R +--R 1 +--R (329) -------------------------- +--R +-----------------------+ +--R \|c sin(x) + b cos(x) + a +--R Type: Expression Integer +--E 356 + +--S 357 of 532 +r0767:= 2*EllipticF(1/2*x-1/2*atan(b,c),2/(1+a/(b^2+c^2)^(1/2)))*((a+b*cos(x)+c*sin(x))/(a+(b^2+c^2)^(1/2)))^(1/2)/(a+b*cos(x)+c*sin(x))^(1/2) +--R +--R There are 2 exposed and 0 unexposed library operations named atan +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op atan +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named atan +--R with argument type(s) +--R Variable b +--R Variable c +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 357 + +--S 358 of 532 +a0767:= integrate(t0767,x) +--R +--R +--R x +--R ++ 1 +--R (330) | ---------------------------- d%P +--R ++ +-------------------------+ +--R \|c sin(%P) + b cos(%P) + a +--R Type: Union(Expression Integer,...) +--E 358 + +--S 359 of 532 +m0767:= a0767-r0767 +--R +--R +--R x +--R ++ 1 +--R (331) | ---------------------------- d%P - r0767 +--R ++ +-------------------------+ +--R \|c sin(%P) + b cos(%P) + a +--R Type: Expression Integer +--E 359 + +--S 360 of 532 +d0767:= D(m0767,x) +--R +--R +--R 1 +--R (332) -------------------------- +--R +-----------------------+ +--R \|c sin(x) + b cos(x) + a +--R Type: Expression Integer +--E 360 + +--S 361 of 532 +t0768:= 1/(a+b*cos(x)+c*sin(x))^(3/2) +--R +--R +--R 1 +--R (333) --------------------------------------------------- +--R +-----------------------+ +--R (c sin(x) + b cos(x) + a)\|c sin(x) + b cos(x) + a +--R Type: Expression Integer +--E 361 + +--S 362 of 532 +r0768:= 2*(c*cos(x)-b*sin(x))/(a^2-b^2-c^2)/(a+b*cos(x)+c*sin(x))^(1/2)+2*EllipticE(1/2*x-1/2*atan(b,c),2/(1+a/(b^2+c^2)^(1/2)))*(a+b*cos(x)+c*sin(x))^(1/2)/(a^2-b^2-c^2)/((a+b*cos(x)+c*sin(x))/(a+(b^2+c^2)^(1/2)))^(1/2) +--R +--R There are 2 exposed and 0 unexposed library operations named atan +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op atan +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named atan +--R with argument type(s) +--R Variable b +--R Variable c +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 362 + +--S 363 of 532 +a0768:= integrate(t0768,x) +--R +--R +--R x +--R ++ 1 +--R (334) | ------------------------------------------------------- d%P +--R ++ +-------------------------+ +--R (c sin(%P) + b cos(%P) + a)\|c sin(%P) + b cos(%P) + a +--R Type: Union(Expression Integer,...) +--E 363 + +--S 364 of 532 +m0768:= a0768-r0768 +--R +--R +--R (335) +--R x +--R ++ 1 +--R | ------------------------------------------------------- d%P - r0768 +--R ++ +-------------------------+ +--R (c sin(%P) + b cos(%P) + a)\|c sin(%P) + b cos(%P) + a +--R Type: Expression Integer +--E 364 + +--S 365 of 532 +d0768:= D(m0768,x) +--R +--R +--R 1 +--R (336) --------------------------------------------------- +--R +-----------------------+ +--R (c sin(x) + b cos(x) + a)\|c sin(x) + b cos(x) + a +--R Type: Expression Integer +--E 365 + +--S 366 of 532 +t0769:= (a+b*cos(x)+c*sin(x))^(1/2) +--R +--R +--R +-----------------------+ +--R (337) \|c sin(x) + b cos(x) + a +--R Type: Expression Integer +--E 366 + +--S 367 of 532 +r0769:= 2*EllipticE(1/2*x-1/2*atan(b,c),2/(1+a/(b^2+c^2)^(1/2)))*(a+b*cos(x)+c*sin(x))^(1/2)/((a+b*cos(x)+c*sin(x))/(a+(b^2+c^2)^(1/2)))^(1/2) +--R +--R There are 2 exposed and 0 unexposed library operations named atan +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op atan +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named atan +--R with argument type(s) +--R Variable b +--R Variable c +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 367 + +--S 368 of 532 +a0769:= integrate(t0769,x) +--R +--R +--R x +--R ++ +-------------------------+ +--R (338) | \|c sin(%P) + b cos(%P) + a d%P +--R ++ +--R Type: Union(Expression Integer,...) +--E 368 + +--S 369 of 532 +m0769:= a0769-r0769 +--R +--R +--R x +--R ++ +-------------------------+ +--R (339) | \|c sin(%P) + b cos(%P) + a d%P - r0769 +--R ++ +--R Type: Expression Integer +--E 369 + +--S 370 of 532 +d0769:= D(m0769,x) +--R +--R +--R +-----------------------+ +--R (340) \|c sin(x) + b cos(x) + a +--R Type: Expression Integer +--E 370 + +--S 371 of 532 +t0770:= 1/(a+b*tan(x)+c*sec(x)) +--R +--R +--R 1 +--R (341) ----------------------- +--R b tan(x) + c sec(x) + a +--R Type: Expression Integer +--E 371 + +--S 372 of 532 +r0770:= a*x/(a^2+b^2)+2*a*c*atanh((b+(-a+c)*tan(1/2*x))/(a^2+b^2-c^2)^(1/2))/(a^2+b^2)/(a^2+b^2-c^2)^(1/2)+b*log(c+a*cos(x)+b*sin(x))/(a^2+b^2) +--R +--R +--R (342) +--R +--------------+ +--R | 2 2 2 +--R b\|- c + b + a log(b sin(x) + a cos(x) + c) +--R + +--R x +--R (c - a)tan(-) + b +--------------+ +--R 2 | 2 2 2 +--R 2a c atanh(-----------------) + a x\|- c + b + a +--R +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R / +--R +--------------+ +--R 2 2 | 2 2 2 +--R (b + a )\|- c + b + a +--R Type: Expression Integer +--E 372 + +--S 373 of 532 +a0770:= integrate(t0770,x) +--R +--R +--R (343) +--R [ +--R a c +--R * +--R log +--R 2 2 2 +--R (b c - a b)sin(x) + (- c + a c + b )cos(x) - a c + b +--R + +--R 2 +--R a +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R + +--R 3 2 2 2 2 3 +--R (- c + a c + (b + a )c - a b - a )sin(x) +--R + +--R 2 3 2 2 3 2 +--R (- b c + b + a b)cos(x) - b c + b + a b +--R / +--R b sin(x) + a cos(x) + c +--R + +--R +--------------+ +--R | 2 2 2 2b sin(x) + 2a cos(x) + 2c +--R b\|- c + b + a log(--------------------------) +--R cos(x) + 1 +--R + +--R +--------------+ +--------------+ +--R | 2 2 2 2 | 2 2 2 +--R - b\|- c + b + a log(----------) + a x\|- c + b + a +--R cos(x) + 1 +--R / +--R +--------------+ +--R 2 2 | 2 2 2 +--R (b + a )\|- c + b + a +--R , +--R +--R +------------+ +--R | 2 2 2 2b sin(x) + 2a cos(x) + 2c +--R b\|c - b - a log(--------------------------) +--R cos(x) + 1 +--R + +--R +------------+ +--R | 2 2 2 2 +--R - b\|c - b - a log(----------) +--R cos(x) + 1 +--R + +--R +------------+ +--R | 2 2 2 +--R ((c - a)sin(x) + b cos(x) + b)\|c - b - a +--R - 2a c atan(---------------------------------------------) +--R 2 2 2 2 2 2 +--R (c - b - a )cos(x) + c - b - a +--R + +--R +------------+ +--R | 2 2 2 +--R a x\|c - b - a +--R / +--R +------------+ +--R 2 2 | 2 2 2 +--R (b + a )\|c - b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 373 + +--S 374 of 532 +m0770a:= a0770.1-r0770 +--R +--R +--R (344) +--R a c +--R * +--R log +--R 2 2 2 2 +--R ((b c - a b)sin(x) + (- c + a c + b )cos(x) - a c + b + a ) +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R + +--R 3 2 2 2 2 3 +--R (- c + a c + (b + a )c - a b - a )sin(x) +--R + +--R 2 3 2 2 3 2 +--R (- b c + b + a b)cos(x) - b c + b + a b +--R / +--R b sin(x) + a cos(x) + c +--R + +--R +--------------+ +--R | 2 2 2 +--R - b\|- c + b + a log(b sin(x) + a cos(x) + c) +--R + +--R +--------------+ +--R | 2 2 2 2b sin(x) + 2a cos(x) + 2c +--R b\|- c + b + a log(--------------------------) +--R cos(x) + 1 +--R + +--R x +--R +--------------+ (c - a)tan(-) + b +--R | 2 2 2 2 2 +--R - b\|- c + b + a log(----------) - 2a c atanh(-----------------) +--R cos(x) + 1 +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R / +--R +--------------+ +--R 2 2 | 2 2 2 +--R (b + a )\|- c + b + a +--R Type: Expression Integer +--E 374 + +--S 375 of 532 +d0770a:= D(m0770a,x) +--R +--R +--R (345) +--R 2 3 3 2 4 2 +--R (a c - 2a c + a c)sin(x) +--R + +--R 3 2 2 3 3 3 +--R ((- a b c + 2a b c + (a b - a b)c)cos(x) + a b c)sin(x) +--R + +--R 2 3 2 2 2 4 2 +--R ((- a b - a )c + (2a b + a )c)cos(x) +--R + +--R 2 3 2 2 4 2 3 2 3 2 +--R (- a c + (2a b + a )c)cos(x) - a c + (a b + a )c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 3 3 2 2 2 2 2 +--R (2a b c + (- 2a b - 2a b)c)sin(x) + (- 2a b c + 2a b c)sin(x) +--R + +--R 2 2 3 3 2 +--R (2a b c + (- 2a b - 2a b)c)cos(x) +--R + +--R 3 2 2 3 +--R (2a b c - 2a b c - 2a b c)cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 3 2 2 4 2 +--R (a c + (- 2a b - a )c)sin(x) +--R + +--R 3 2 2 3 3 2 2 +--R (- a b c + 2a b c + (a b - a b)c)cos(x) - 2a b c +--R + +--R 3 3 +--R (a b + 2a b)c +--R * +--R sin(x) +--R + +--R 2 3 2 4 2 2 3 3 2 4 2 3 +--R ((- a b + a )c - a c)cos(x) + (a c - 2a c + a c)cos(x) - a c +--R + +--R 2 3 2 +--R (a b + a )c +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R + +--R 2 4 2 3 3 2 2 4 2 4 5 +--R (- a c + (- a b + a )c + (a b + a )c + (a b - a )c)cos(x) +--R + +--R 2 4 2 3 3 2 2 4 2 4 5 +--R - a c + (- a b + a )c + (a b + a )c + (a b - a )c +--R * +--R sin(x) +--R + +--R 4 2 3 3 3 2 2 3 4 2 +--R (a b c - 2a b c + (- a b - a b)c + (2a b + 2a b)c)cos(x) +--R + +--R 2 3 2 3 4 4 3 3 2 +--R (- 2a b c + (2a b + 2a b)c)cos(x) - a b c + (a b + a b)c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 3 4 3 2 2 +--R (2a b c + (- 2a b - 2a b )c)sin(x) +--R + +--R 4 2 3 3 3 2 2 3 4 +--R (2a b c - 2a b c + (- 2a b - 2a b)c + (2a b + 2a b)c)sin(x) +--R + +--R 2 3 4 3 2 2 +--R (2a b c + (- 2a b - 2a b )c)cos(x) +--R + +--R 2 3 4 3 2 +--R (2a b c + (- 2a b - 2a b )c)cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 3 2 3 4 2 +--R (2a b c + (- 2a b - 2a b)c)sin(x) +--R + +--R 2 4 2 3 3 2 2 4 2 4 5 +--R (- a c + (- a b + a )c + (a b + a )c + (a b - a )c)cos(x) +--R + +--R 2 4 2 3 3 2 2 4 2 4 3 2 5 +--R a c + (- a b - a )c + (- a b - a )c + (a b + 2a b + a )c +--R * +--R sin(x) +--R + +--R 4 3 3 2 2 4 3 3 2 +--R (a b c + (- a b - a b)c )cos(x) - a b c + (a b + a b)c +--R / +--R 4 2 2 2 4 3 2 2 4 4 2 2 +--R ((b + a b )c + (- 2a b - 2a b )c + a b + a b )sin(x) +--R + +--R 3 2 3 3 3 2 5 2 3 4 +--R (- b - a b)c + (3a b + 3a b)c + (b - 2a b - 3a b)c +--R + +--R 5 5 +--R - a b + a b +--R * +--R cos(x) +--R + +--R 3 2 3 3 3 2 5 2 3 4 +--R (b + a b)c + (- 3a b - 3a b)c + (b + 4a b + 3a b)c +--R + +--R 5 3 3 5 +--R - a b - 2a b - a b +--R * +--R sin(x) +--R + +--R 2 3 3 2 2 4 2 4 5 2 4 +--R (- a b - a )c + (2a b + 2a )c + (a b - a )c - a b +--R + +--R 4 2 +--R - a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 2 3 3 4 2 2 4 2 +--R (- b - a )c + (2a b + 2a )c + (b - a b - 2a )c +--R + +--R 3 2 5 2 4 4 2 6 +--R (2a b + 2a )c - a b - 2a b - a +--R * +--R cos(x) +--R + +--R 2 3 3 4 2 2 4 2 4 3 2 5 +--R (- a b - a )c + (b + 3a b + 2a )c + (- a b - 2a b - a )c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 5 2 3 5 3 3 2 +--R ((2b + 2a b )c - 2a b - 2a b )sin(x) +--R + +--R 4 2 2 2 4 3 2 6 4 2 +--R ((- 2b - 2a b )c + (4a b + 4a b )c + 2b - 2a b )cos(x) +--R + +--R 4 2 2 2 4 3 2 6 2 4 4 2 +--R (2b + 2a b )c + (- 4a b - 4a b )c + 2b + 4a b + 2a b +--R * +--R sin(x) +--R + +--R 3 3 2 2 3 4 5 3 3 2 +--R ((- 2a b - 2a b)c + (2a b + 2a b)c + 2a b + 2a b )cos(x) +--R + +--R 3 2 3 3 3 2 5 4 5 +--R (- 2b - 2a b)c + (2a b + 2a b)c + (2b - 2a b)c + 2a b +--R + +--R 3 3 5 +--R 4a b + 2a b +--R * +--R cos(x) +--R + +--R 3 3 2 5 2 3 4 +--R (- 2a b - 2a b)c + (2b + 4a b + 2a b)c +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 4 2 2 2 2 4 4 2 2 +--R ((b + a b )c - a b - a b )sin(x) +--R + +--R 3 2 3 3 3 2 5 2 3 4 5 +--R (- b - a b)c + (a b + a b)c + (b + 2a b + a b)c + a b +--R + +--R 5 +--R - a b +--R * +--R cos(x) +--R + +--R 3 2 3 3 3 2 5 4 5 3 3 5 +--R (b + a b)c + (- a b - a b)c + (b - a b)c + a b + 2a b + a b +--R * +--R sin(x) +--R + +--R 2 3 3 4 3 2 5 2 4 4 2 2 +--R ((- a b - a )c + (a b + 2a b + a )c + a b + a b )cos(x) +--R + +--R 2 2 4 4 2 2 2 4 3 2 2 4 4 2 +--R (- b - a )c + (b + a b )c + (2a b + 2a b )c + a b + 2a b +--R + +--R 6 +--R a +--R * +--R cos(x) +--R + +--R 2 3 3 4 2 2 2 4 3 2 5 +--R (- a b - a )c + (b + a b )c + (a b + 2a b + a )c +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R + +--R 3 2 4 3 3 3 5 2 3 2 +--R (- b - a b)c + (2a b + 2a b)c + (b + a b )c +--R + +--R 5 3 3 5 2 5 4 3 6 +--R (- 2a b - 4a b - 2a b)c + a b + 2a b + a b +--R * +--R 2 +--R sin(x) +--R + +--R 2 3 4 4 2 2 4 3 4 3 2 2 +--R (- a b - a )c + (- b + a b + 2a )c + (2a b + 2a b )c +--R + +--R 6 4 2 6 6 3 4 5 2 7 +--R (b - 3a b - 2a )c - a b - a b + a b + a +--R * +--R cos(x) +--R + +--R 2 2 5 2 3 4 4 3 2 5 2 +--R (- b - a )c + (2a b + 2a )c + (- a b - 3a b - 2a )c +--R + +--R 6 2 4 4 2 6 6 3 4 5 2 +--R (b + 3a b + 3a b + a )c - a b - 2a b - a b +--R * +--R sin(x) +--R + +--R 3 3 3 2 3 4 2 5 3 3 5 2 5 +--R (- a b - a b)c + (a b + a b)c + (a b + 2a b + a b)c - a b +--R + +--R 4 3 6 +--R - 2a b - a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 4 5 2 3 4 2 2 5 4 3 6 +--R ((- b - a b)c + (b + 3a b + 2a b)c - a b - 2a b - a b)cos(x) +--R + +--R 3 2 4 3 3 3 5 2 3 4 2 +--R (- b - a b)c + (a b + a b)c + (b + 2a b + a b)c +--R + +--R 5 3 3 5 +--R (- a b - 2a b - a b)c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 2 2 3 4 3 2 2 6 2 4 4 2 +--R (- 2b - 2a b )c + (2a b + 2a b )c + (2b + 4a b + 2a b )c +--R + +--R 6 3 4 5 2 +--R - 2a b - 4a b - 2a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 3 3 5 4 2 +--R (- 2a b - 2a b)c + (- 2b + 2a b)c +--R + +--R 5 3 3 5 7 2 5 4 3 6 +--R (2a b + 4a b + 2a b)c + 2b + 2a b - 2a b - 2a b +--R * +--R cos(x) +--R + +--R 3 2 4 3 3 3 2 3 4 2 +--R (- 2b - 2a b)c + (2a b + 2a b)c + (2a b + 2a b)c +--R + +--R 5 3 3 5 7 2 5 4 3 +--R (- 2a b - 4a b - 2a b)c + 2b + 4a b + 2a b +--R * +--R sin(x) +--R + +--R 4 3 2 2 6 3 4 5 2 2 +--R ((- 2a b - 2a b )c + 2a b + 4a b + 2a b )cos(x) +--R + +--R 4 2 2 3 4 3 2 2 6 2 4 4 2 +--R (- 2b - 2a b )c + (- 2a b - 2a b )c + (2b + 4a b + 2a b )c +--R + +--R 6 3 4 5 2 +--R 2a b + 4a b + 2a b +--R * +--R cos(x) +--R + +--R 4 2 2 3 6 2 4 4 2 +--R (- 2b - 2a b )c + (2b + 4a b + 2a b )c +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 2 4 5 2 3 4 2 2 5 4 3 6 2 +--R ((- b - a b)c + (b + 3a b + 2a b)c - a b - 2a b - a b)sin(x) +--R + +--R 2 3 4 4 2 2 3 3 2 5 2 +--R (- a b - a )c + (- b - a b )c + (2a b + 2a )c +--R + +--R 6 2 4 4 2 6 3 4 5 2 7 +--R (b + 2a b + a b )c + a b + a b - a b - a +--R * +--R cos(x) +--R + +--R 2 2 5 2 2 4 3 4 3 2 2 +--R (- b - a )c + (2a b + 2a )c + (- a b - a b )c +--R + +--R 6 2 4 4 2 6 6 3 4 5 2 +--R (b + a b - a b - a )c + a b + 2a b + a b +--R * +--R sin(x) +--R + +--R 3 3 3 2 3 4 2 5 3 3 5 2 5 +--R (- a b - a b)c + (- a b - a b)c + (a b + 2a b + a b)c + a b +--R + +--R 4 3 6 +--R 2a b + a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 2 4 3 3 3 5 2 3 2 +--R (- b - a b)c + (- 2a b - 2a b)c + (b + a b )c +--R + +--R 5 3 3 5 2 5 4 3 6 +--R (2a b + 4a b + 2a b)c + a b + 2a b + a b +--R * +--R cos(x) +--R + +--R 3 2 4 3 3 3 5 2 3 4 2 +--R (- b - a b)c + (- a b - a b)c + (b + 2a b + a b)c +--R + +--R 5 3 3 5 +--R (a b + 2a b + a b)c +--R Type: Expression Integer +--E 375 + +--S 376 of 532 +m0770b:= a0770.2-r0770 +--R +--R +--R (346) +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 +--R - b\|- c + b + a \|c - b - a log(b sin(x) + a cos(x) + c) +--R + +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 2b sin(x) + 2a cos(x) + 2c +--R b\|- c + b + a \|c - b - a log(--------------------------) +--R cos(x) + 1 +--R + +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 2 +--R - b\|- c + b + a \|c - b - a log(----------) +--R cos(x) + 1 +--R + +--R x +--R +------------+ (c - a)tan(-) + b +--R | 2 2 2 2 +--R - 2a c\|c - b - a atanh(-----------------) +--R +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R + +--R +------------+ +--R +--------------+ | 2 2 2 +--R | 2 2 2 ((c - a)sin(x) + b cos(x) + b)\|c - b - a +--R - 2a c\|- c + b + a atan(---------------------------------------------) +--R 2 2 2 2 2 2 +--R (c - b - a )cos(x) + c - b - a +--R / +--R +--------------+ +------------+ +--R 2 2 | 2 2 2 | 2 2 2 +--R (b + a )\|- c + b + a \|c - b - a +--R Type: Expression Integer +--E 376 + +--S 377 of 532 +d0770b:= D(m0770b,x) +--R +--R +--R (347) +--R 2 2 2 +--R (- a c + a c)sin(x) + (2a b c cos(x) + 2a b c)sin(x) +--R + +--R 2 2 2 2 2 2 +--R (- a c + 3a c)cos(x) + 4a c cos(x) + a c + a c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 x +--R (- 4a b c sin(x) - 4a b c cos(x) - 4a b c cos(x))tan(-) +--R 2 +--R + +--R 2 2 2 +--R (- a c - 3a c)sin(x) + (2a b c cos(x) + 2a b c)sin(x) +--R + +--R 2 2 2 2 2 +--R (- a c - a c)cos(x) + a c + a c +--R / +--R 2 2 2 2 3 2 2 4 2 +--R ((b + a )c + (- 2a b - 2a )c + a b + a )sin(x) +--R + +--R 3 2 3 3 3 2 3 +--R ((2b + 2a b)c - 2a b - 2a b)cos(x) + (2b + 2a b)c - 2a b +--R + +--R 3 +--R - 2a b +--R * +--R sin(x) +--R + +--R 2 2 2 2 2 4 2 +--R ((b + a )c - a b - a )cos(x) +--R + +--R 2 2 2 2 2 4 2 2 2 2 2 4 +--R ((2b + 2a )c - 2a b - 2a )cos(x) + (b + a )c - a b - a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 3 3 2 +--R ((2b + 2a b)c - 2a b - 2a b)sin(x) +--R + +--R 4 2 2 4 2 2 +--R ((4b + 4a b )cos(x) + 4b + 4a b )sin(x) +--R + +--R 3 2 3 3 2 +--R ((2b + 2a b)c + 2a b + 2a b)cos(x) +--R + +--R 3 2 3 3 3 2 3 3 +--R ((4b + 4a b)c + 4a b + 4a b)cos(x) + (2b + 2a b)c + 2a b + 2a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 2 2 2 2 4 2 +--R ((b + a )c - a b - a )sin(x) +--R + +--R 3 2 3 3 3 2 3 3 +--R (((2b + 2a b)c + 2a b + 2a b)cos(x) + (2b + 2a b)c + 2a b + 2a b) +--R * +--R sin(x) +--R + +--R 2 2 2 2 3 2 2 4 2 +--R ((b + a )c + (2a b + 2a )c + a b + a )cos(x) +--R + +--R 2 2 2 2 3 2 2 4 2 2 2 +--R ((2b + 2a )c + (4a b + 4a )c + 2a b + 2a )cos(x) + (b + a )c +--R + +--R 2 3 2 2 4 +--R (2a b + 2a )c + a b + a +--R Type: Expression Integer +--E 377 + +--S 378 of 532 +t0771:= 1/(a+b*cot(x)+c*csc(x)) +--R +--R +--R 1 +--R (348) ----------------------- +--R c csc(x) + b cot(x) + a +--R Type: Expression Integer +--E 378 + +--S 379 of 532 +r0771:= a*x/(a^2+b^2)+2*a*c*atanh((a+(-b+c)*tan(1/2*x))/(a^2+b^2-c^2)^(1/2))/(a^2+b^2)/(a^2+b^2-c^2)^(1/2)-b*log(c+b*cos(x)+a*sin(x))/(a^2+b^2) +--R +--R +--R (349) +--R +--------------+ +--R | 2 2 2 +--R - b\|- c + b + a log(a sin(x) + b cos(x) + c) +--R + +--R x +--R (c - b)tan(-) + a +--------------+ +--R 2 | 2 2 2 +--R 2a c atanh(-----------------) + a x\|- c + b + a +--R +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R / +--R +--------------+ +--R 2 2 | 2 2 2 +--R (b + a )\|- c + b + a +--R Type: Expression Integer +--E 379 + +--S 380 of 532 +a0771:= integrate(t0771,x) +--R +--R +--R (350) +--R [ +--R a c +--R * +--R log +--R 2 2 2 +--R (a c - a b)sin(x) + (- c + b c + a )cos(x) - b c + b +--R + +--R 2 +--R a +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R + +--R 3 2 2 2 3 2 +--R (- c + b c + (b + a )c - b - a b)sin(x) +--R + +--R 2 2 3 2 2 3 +--R (- a c + a b + a )cos(x) - a c + a b + a +--R / +--R a sin(x) + b cos(x) + c +--R + +--R +--------------+ +--R | 2 2 2 2a sin(x) + 2b cos(x) + 2c +--R - b\|- c + b + a log(--------------------------) +--R cos(x) + 1 +--R + +--R +--------------+ +--------------+ +--R | 2 2 2 2 | 2 2 2 +--R b\|- c + b + a log(----------) + a x\|- c + b + a +--R cos(x) + 1 +--R / +--R +--------------+ +--R 2 2 | 2 2 2 +--R (b + a )\|- c + b + a +--R , +--R +--R +------------+ +--R | 2 2 2 2a sin(x) + 2b cos(x) + 2c +--R - b\|c - b - a log(--------------------------) +--R cos(x) + 1 +--R + +--R +------------+ +--R | 2 2 2 2 +--R b\|c - b - a log(----------) +--R cos(x) + 1 +--R + +--R +------------+ +--R | 2 2 2 +--R ((c - b)sin(x) + a cos(x) + a)\|c - b - a +--R - 2a c atan(---------------------------------------------) +--R 2 2 2 2 2 2 +--R (c - b - a )cos(x) + c - b - a +--R + +--R +------------+ +--R | 2 2 2 +--R a x\|c - b - a +--R / +--R +------------+ +--R 2 2 | 2 2 2 +--R (b + a )\|c - b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 380 + +--S 381 of 532 +m0771a:= a0771.1-r0771 +--R +--R +--R (351) +--R a c +--R * +--R log +--R 2 2 2 2 +--R ((a c - a b)sin(x) + (- c + b c + a )cos(x) - b c + b + a ) +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R + +--R 3 2 2 2 3 2 +--R (- c + b c + (b + a )c - b - a b)sin(x) +--R + +--R 2 2 3 2 2 3 +--R (- a c + a b + a )cos(x) - a c + a b + a +--R / +--R a sin(x) + b cos(x) + c +--R + +--R +--------------+ +--R | 2 2 2 +--R b\|- c + b + a log(a sin(x) + b cos(x) + c) +--R + +--R +--------------+ +--R | 2 2 2 2a sin(x) + 2b cos(x) + 2c +--R - b\|- c + b + a log(--------------------------) +--R cos(x) + 1 +--R + +--R x +--R +--------------+ (c - b)tan(-) + a +--R | 2 2 2 2 2 +--R b\|- c + b + a log(----------) - 2a c atanh(-----------------) +--R cos(x) + 1 +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R / +--R +--------------+ +--R 2 2 | 2 2 2 +--R (b + a )\|- c + b + a +--R Type: Expression Integer +--E 381 + +--S 382 of 532 +d0771a:= D(m0771a,x) +--R +--R +--R (352) +--R 3 2 2 3 2 +--R (a b c - 2a b c + a b c)sin(x) +--R + +--R 2 3 2 2 2 2 4 4 +--R ((- a c + 2a b c + (- a b + a )c)cos(x) + a c)sin(x) +--R + +--R 2 3 2 3 3 2 +--R ((- a b - a )c + (a b + 2a b)c)cos(x) +--R + +--R 3 3 3 3 2 3 2 +--R (- a b c + (a b + 2a b)c)cos(x) - a b c + (a b + a )c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 2 2 4 2 3 2 3 +--R (2a b c + (- 2a b - 2a )c)sin(x) + (- 2a c + 2a b c)sin(x) +--R + +--R 2 2 2 2 4 2 +--R (2a b c + (- 2a b - 2a )c)cos(x) +--R + +--R 2 3 2 2 4 +--R (2a c - 2a b c - 2a c)cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 3 3 2 +--R (a b c + (- a b - 2a b)c)sin(x) +--R + +--R 2 3 2 2 2 2 4 2 2 +--R (- a c + 2a b c + (- a b + a )c)cos(x) - 2a b c +--R + +--R 2 2 4 +--R (2a b + a )c +--R * +--R sin(x) +--R + +--R 2 3 2 3 2 3 2 2 3 +--R ((a b - a )c - a b c)cos(x) + (a b c - 2a b c + a b c)cos(x) +--R + +--R 3 2 3 2 +--R - a b c + (a b + a )c +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R + +--R 4 2 3 3 3 3 2 4 5 +--R (- a b c + (a b - a )c + (a b + a b)c + (- a b + a )c) +--R * +--R cos(x) +--R + +--R 4 2 3 3 3 3 2 4 5 +--R - a b c + (a b - a )c + (a b + a b)c + (- a b + a )c +--R * +--R sin(x) +--R + +--R 2 4 2 3 2 2 4 2 2 3 4 2 +--R (a c - 2a b c + (- a b - a )c + (2a b + 2a b)c)cos(x) +--R + +--R 2 3 2 3 4 2 4 2 2 4 2 +--R (- 2a b c + (2a b + 2a b)c)cos(x) - a c + (a b + a )c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 3 3 2 5 2 +--R (2a c + (- 2a b - 2a )c)sin(x) +--R + +--R 2 4 2 3 2 2 4 2 2 3 4 +--R (2a c - 2a b c + (- 2a b - 2a )c + (2a b + 2a b)c)sin(x) +--R + +--R 3 3 3 2 5 2 3 3 3 2 5 +--R (2a c + (- 2a b - 2a )c)cos(x) + (2a c + (- 2a b - 2a )c)cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 3 2 3 4 2 +--R (2a b c + (- 2a b - 2a b)c)sin(x) +--R + +--R 4 2 3 3 3 3 2 4 5 +--R (- a b c + (a b - a )c + (a b + a b)c + (- a b + a )c)cos(x) +--R + +--R 4 2 3 3 3 3 2 4 3 2 5 +--R a b c + (- a b - a )c + (- a b - a b)c + (a b + 2a b + a )c +--R * +--R sin(x) +--R + +--R 2 4 2 2 4 2 2 2 4 2 2 4 2 +--R (a c + (- a b - a )c )cos(x) - a c + (a b + a )c +--R / +--R 2 2 4 2 2 3 4 2 4 4 2 2 +--R ((a b + a )c + (- 2a b - 2a b)c + a b + a b )sin(x) +--R + +--R 2 3 3 3 3 2 +--R (- a b - a )c + (3a b + 3a b)c +--R + +--R 4 3 2 5 5 5 +--R (- 3a b - 2a b + a )c + a b - a b +--R * +--R cos(x) +--R + +--R 2 3 3 3 3 2 4 3 2 5 +--R (a b + a )c + (- 3a b - 3a b)c + (3a b + 4a b + a )c +--R + +--R 5 3 3 5 +--R - a b - 2a b - a b +--R * +--R sin(x) +--R + +--R 3 2 3 4 2 2 2 5 4 2 4 +--R (- b - a b)c + (2b + 2a b )c + (- b + a b)c - a b +--R + +--R 4 2 +--R - a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 2 4 3 2 3 4 2 2 4 2 +--R (- b - a )c + (2b + 2a b)c + (- 2b - a b + a )c +--R + +--R 5 2 3 6 2 4 4 2 +--R (2b + 2a b )c - b - 2a b - a b +--R * +--R cos(x) +--R + +--R 3 2 3 4 2 2 4 2 5 2 3 4 +--R (- b - a b)c + (2b + 3a b + a )c + (- b - 2a b - a b)c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 5 3 3 5 2 +--R ((2a b + 2a )c - 2a b - 2a b)sin(x) +--R + +--R 2 2 4 2 2 3 4 2 4 6 +--R ((- 2a b - 2a )c + (4a b + 4a b)c - 2a b + 2a )cos(x) +--R + +--R 2 2 4 2 2 3 4 2 4 4 2 6 +--R (2a b + 2a )c + (- 4a b - 4a b)c + 2a b + 4a b + 2a +--R * +--R sin(x) +--R + +--R 3 3 2 4 3 2 3 3 5 2 +--R ((- 2a b - 2a b)c + (2a b + 2a b )c + 2a b + 2a b)cos(x) +--R + +--R 2 3 3 3 3 2 4 5 +--R (- 2a b - 2a )c + (2a b + 2a b)c + (- 2a b + 2a )c +--R + +--R 5 3 3 5 +--R 2a b + 4a b + 2a b +--R * +--R cos(x) +--R + +--R 3 3 2 4 3 2 5 +--R (- 2a b - 2a b)c + (2a b + 4a b + 2a )c +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 2 4 2 2 4 4 2 2 +--R ((a b + a )c - a b - a b )sin(x) +--R + +--R 2 3 3 3 3 2 4 3 2 5 +--R (- a b - a )c + (a b + a b)c + (a b + 2a b + a )c +--R + +--R 5 5 +--R - a b + a b +--R * +--R cos(x) +--R + +--R 2 3 3 3 3 2 4 5 5 3 3 +--R (a b + a )c + (- a b - a b)c + (- a b + a )c + a b + 2a b +--R + +--R 5 +--R a b +--R * +--R sin(x) +--R + +--R 3 2 3 5 2 3 4 2 4 4 2 2 +--R ((- b - a b)c + (b + 2a b + a b)c + a b + a b )cos(x) +--R + +--R 2 2 4 2 2 4 2 2 3 4 6 2 4 +--R (- b - a )c + (a b + a )c + (2a b + 2a b)c + b + 2a b +--R + +--R 4 2 +--R a b +--R * +--R cos(x) +--R + +--R 3 2 3 2 2 4 2 5 2 3 4 +--R (- b - a b)c + (a b + a )c + (b + 2a b + a b)c +--R * +--R +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R + +--R 2 3 4 3 3 3 3 2 5 2 +--R (- a b - a )c + (2a b + 2a b)c + (a b + a )c +--R + +--R 5 3 3 5 6 3 4 5 2 +--R (- 2a b - 4a b - 2a b)c + a b + 2a b + a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 2 4 4 2 2 4 3 2 3 4 2 +--R (- b - a b)c + (2b + a b - a )c + (2a b + 2a b)c +--R + +--R 6 2 4 6 7 2 5 4 3 6 +--R (- 2b - 3a b + a )c + b + a b - a b - a b +--R * +--R cos(x) +--R + +--R 2 2 5 3 2 4 5 2 3 4 2 +--R (- b - a )c + (2b + 2a b)c + (- 2b - 3a b - a b)c +--R + +--R 6 2 4 4 2 6 2 5 4 3 6 +--R (b + 3a b + 3a b + a )c - a b - 2a b - a b +--R * +--R sin(x) +--R + +--R 3 3 3 4 3 2 2 5 3 3 5 6 +--R (- a b - a b)c + (a b + a b )c + (a b + 2a b + a b)c - a b +--R + +--R 3 4 5 2 +--R - 2a b - a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 3 4 4 3 2 5 2 6 3 4 5 2 +--R ((- a b - a )c + (2a b + 3a b + a )c - a b - 2a b - a b ) +--R * +--R cos(x) +--R + +--R 2 3 4 3 3 3 4 3 2 5 2 +--R (- a b - a )c + (a b + a b)c + (a b + 2a b + a )c +--R + +--R 5 3 3 5 +--R (- a b - 2a b - a b)c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 4 3 2 3 4 2 2 4 4 2 6 +--R (- 2a b - 2a )c + (2a b + 2a b)c + (2a b + 4a b + 2a )c +--R + +--R 2 5 4 3 6 +--R - 2a b - 4a b - 2a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 3 3 4 5 2 +--R (- 2a b - 2a b)c + (2a b - 2a )c +--R + +--R 5 3 3 5 6 3 4 5 2 7 +--R (2a b + 4a b + 2a b)c - 2a b - 2a b + 2a b + 2a +--R * +--R cos(x) +--R + +--R 2 3 4 3 3 3 4 3 2 2 +--R (- 2a b - 2a )c + (2a b + 2a b)c + (2a b + 2a b )c +--R + +--R 5 3 3 5 3 4 5 2 7 +--R (- 2a b - 4a b - 2a b)c + 2a b + 4a b + 2a +--R * +--R sin(x) +--R + +--R 2 3 4 2 2 5 4 3 6 2 +--R ((- 2a b - 2a b)c + 2a b + 4a b + 2a b)cos(x) +--R + +--R 2 2 4 3 2 3 4 2 2 4 4 2 6 +--R (- 2a b - 2a )c + (- 2a b - 2a b)c + (2a b + 4a b + 2a )c +--R + +--R 2 5 4 3 6 +--R 2a b + 4a b + 2a b +--R * +--R cos(x) +--R + +--R 2 2 4 3 2 4 4 2 6 +--R (- 2a b - 2a )c + (2a b + 4a b + 2a )c +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 3 4 4 3 2 5 2 6 3 4 5 2 2 +--R ((- a b - a )c + (2a b + 3a b + a )c - a b - 2a b - a b )sin(x) +--R + +--R 3 2 4 2 2 4 3 5 2 3 2 +--R (- b - a b)c + (- a b - a )c + (2b + 2a b )c +--R + +--R 2 4 4 2 6 7 2 5 4 3 6 +--R (a b + 2a b + a )c - b - a b + a b + a b +--R * +--R cos(x) +--R + +--R 2 2 5 4 2 2 3 2 3 4 2 +--R (- b - a )c + (2b + 2a b )c + (- a b - a b)c +--R + +--R 6 2 4 4 2 6 2 5 4 3 6 +--R (- b - a b + a b + a )c + a b + 2a b + a b +--R * +--R sin(x) +--R + +--R 3 3 3 4 3 2 2 5 3 3 5 6 +--R (- a b - a b)c + (- a b - a b )c + (a b + 2a b + a b)c + a b +--R + +--R 3 4 5 2 +--R 2a b + a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 3 4 3 3 3 3 2 5 2 +--R (- a b - a )c + (- 2a b - 2a b)c + (a b + a )c +--R + +--R 5 3 3 5 6 3 4 5 2 +--R (2a b + 4a b + 2a b)c + a b + 2a b + a b +--R * +--R cos(x) +--R + +--R 2 3 4 3 3 3 4 3 2 5 2 +--R (- a b - a )c + (- a b - a b)c + (a b + 2a b + a )c +--R + +--R 5 3 3 5 +--R (a b + 2a b + a b)c +--R Type: Expression Integer +--E 382 + +--S 383 of 532 +m0771b:= a0771.2-r0771 +--R +--R +--R (353) +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 +--R b\|- c + b + a \|c - b - a log(a sin(x) + b cos(x) + c) +--R + +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 2a sin(x) + 2b cos(x) + 2c +--R - b\|- c + b + a \|c - b - a log(--------------------------) +--R cos(x) + 1 +--R + +--R +--------------+ +------------+ +--R | 2 2 2 | 2 2 2 2 +--R b\|- c + b + a \|c - b - a log(----------) +--R cos(x) + 1 +--R + +--R x +--R +------------+ (c - b)tan(-) + a +--R | 2 2 2 2 +--R - 2a c\|c - b - a atanh(-----------------) +--R +--------------+ +--R | 2 2 2 +--R \|- c + b + a +--R + +--R +------------+ +--R +--------------+ | 2 2 2 +--R | 2 2 2 ((c - b)sin(x) + a cos(x) + a)\|c - b - a +--R - 2a c\|- c + b + a atan(---------------------------------------------) +--R 2 2 2 2 2 2 +--R (c - b - a )cos(x) + c - b - a +--R / +--R +--------------+ +------------+ +--R 2 2 | 2 2 2 | 2 2 2 +--R (b + a )\|- c + b + a \|c - b - a +--R Type: Expression Integer +--E 383 + +--S 384 of 532 +d0771b:= D(m0771b,x) +--R +--R +--R (354) +--R 2 2 2 2 +--R (- a c + a b c)sin(x) + (2a c cos(x) + 2a c)sin(x) +--R + +--R 2 2 2 +--R (- a c + 3a b c)cos(x) + 4a b c cos(x) + a c + a b c +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 2 2 2 x +--R (- 4a c sin(x) - 4a c cos(x) - 4a c cos(x))tan(-) +--R 2 +--R + +--R 2 2 2 2 +--R (- a c - 3a b c)sin(x) + (2a c cos(x) + 2a c)sin(x) +--R + +--R 2 2 2 +--R (- a c - a b c)cos(x) + a c + a b c +--R / +--R 2 2 2 3 2 4 2 2 2 +--R ((b + a )c + (- 2b - 2a b)c + b + a b )sin(x) +--R + +--R 2 3 3 3 2 3 3 +--R ((2a b + 2a )c - 2a b - 2a b)cos(x) + (2a b + 2a )c - 2a b +--R + +--R 3 +--R - 2a b +--R * +--R sin(x) +--R + +--R 2 2 2 4 2 2 2 +--R ((b + a )c - b - a b )cos(x) +--R + +--R 2 2 2 4 2 2 2 2 2 4 2 2 +--R ((2b + 2a )c - 2b - 2a b )cos(x) + (b + a )c - b - a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 3 3 3 2 +--R ((2a b + 2a )c - 2a b - 2a b)sin(x) +--R + +--R 2 2 4 2 2 4 +--R ((4a b + 4a )cos(x) + 4a b + 4a )sin(x) +--R + +--R 2 3 3 3 2 +--R ((2a b + 2a )c + 2a b + 2a b)cos(x) +--R + +--R 2 3 3 3 2 3 3 3 +--R ((4a b + 4a )c + 4a b + 4a b)cos(x) + (2a b + 2a )c + 2a b + 2a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 2 2 4 2 2 2 +--R ((b + a )c - b - a b )sin(x) +--R + +--R 2 3 3 3 2 3 3 3 +--R (((2a b + 2a )c + 2a b + 2a b)cos(x) + (2a b + 2a )c + 2a b + 2a b) +--R * +--R sin(x) +--R + +--R 2 2 2 3 2 4 2 2 2 +--R ((b + a )c + (2b + 2a b)c + b + a b )cos(x) +--R + +--R 2 2 2 3 2 4 2 2 2 2 2 +--R ((2b + 2a )c + (4b + 4a b)c + 2b + 2a b )cos(x) + (b + a )c +--R + +--R 3 2 4 2 2 +--R (2b + 2a b)c + b + a b +--R Type: Expression Integer +--E 384 + +--S 385 of 532 +t0772:= x*cos(x)/(a+b*sin(x))^2 +--R +--R +--R x cos(x) +--R (355) ---------------------------- +--R 2 2 2 +--R b sin(x) + 2a b sin(x) + a +--R Type: Expression Integer +--E 385 + +--S 386 of 532 +r0772:= 2*atan((b+a*tan(1/2*x))/(a^2-b^2)^(1/2))/b/(a^2-b^2)^(1/2)-x/b/(a+b*sin(x)) +--R +--R +--R x +--R a tan(-) + b +---------+ +--R 2 | 2 2 +--R (2b sin(x) + 2a)atan(------------) - x\|- b + a +--R +---------+ +--R | 2 2 +--R \|- b + a +--R (356) -------------------------------------------------- +--R +---------+ +--R 2 | 2 2 +--R (b sin(x) + a b)\|- b + a +--R Type: Expression Integer +--E 386 + +--S 387 of 532 +a0772:= integrate(t0772,x) +--R +--R +--R (357) +--R [ +--R (b sin(x) + a) +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(x) + (b - a )cos(x) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (- a b + a )sin(x) + (- b + a b)cos(x) - b + a b +--R / +--R b sin(x) + a +--R + +--R +-------+ +--R | 2 2 +--R - x\|b - a +--R / +--R +-------+ +--R 2 | 2 2 +--R (b sin(x) + a b)\|b - a +--R , +--R +--R +---------+ +--R | 2 2 +--R (a sin(x) + b cos(x) + b)\|- b + a +--R (- 2b sin(x) - 2a)atan(-------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(x) + b - a +--R + +--R +---------+ +--R | 2 2 +--R - x\|- b + a +--R / +--R +---------+ +--R 2 | 2 2 +--R (b sin(x) + a b)\|- b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 387 + +--S 388 of 532 +m0772a:= a0772.1-r0772 +--R +--R +--R (358) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(x) + (b - a )cos(x) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (- a b + a )sin(x) + (- b + a b)cos(x) - b + a b +--R / +--R b sin(x) + a +--R + +--R x +--R +-------+ a tan(-) + b +--R | 2 2 2 +--R - 2\|b - a atan(------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R b\|- b + a \|b - a +--R Type: Expression Integer +--E 388 + +--S 389 of 532 +d0772a:= D(m0772a,x) +--R +--R +--R (359) +--R 2 2 2 2 x 2 +--R (((- b + a )cos(x) - b )sin(x) + a b cos(x) - a b)tan(-) +--R 2 +--R + +--R 2 2 2 2 2 2 x +--R (2b sin(x) + 2a b sin(x) + 2b cos(x) + (2b - 2a )cos(x))tan(-) +--R 2 +--R + +--R 2 2 2 2 +--R ((- b + a )cos(x) - b )sin(x) + a b cos(x) - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 3 2 3 2 2 3 2 2 +--R ((b - a b)cos(x) + b - a b)sin(x) + (- a b + a )cos(x) + a b +--R + +--R 3 +--R - a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 2 2 3 3 2 2 +--R (- 2b + 2a b)sin(x) + (- 2a b + 2a )sin(x) + (- 2b + 2a b)cos(x) +--R + +--R 3 2 +--R (- 2b + 2a b)cos(x) +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 2 3 2 2 3 2 2 3 +--R ((b - a b)cos(x) + b - a b)sin(x) + (- a b + a )cos(x) + a b - a +--R / +--R 2 2 2 3 3 3 3 +--R a b sin(x) + ((a b - a b)cos(x) + a b + a b)sin(x) +--R + +--R 2 2 4 2 2 +--R (a b - a )cos(x) + a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 4 2 2 4 2 2 +--R 2a b sin(x) + ((2b - 2a b )cos(x) + 2b + 2a b )sin(x) +--R + +--R 3 3 3 +--R (2a b - 2a b)cos(x) + 2a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 2 2 3 3 3 3 +--R a b sin(x) + ((a b - a b)cos(x) + a b + a b)sin(x) +--R + +--R 2 2 4 2 2 +--R (a b - a )cos(x) + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 2 3 4 2 4 3 2 4 5 +--R (- a b + a b)sin(x) + ((- a b + a b )cos(x) - a b + a )sin(x) +--R + +--R 2 3 4 2 3 4 +--R (- a b + a b)cos(x) - a b + a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 3 2 2 5 2 3 5 4 +--R (- 2a b + 2a b )sin(x) + ((- 2b + 2a b )cos(x) - 2b + 2a b)sin(x) +--R + +--R 4 3 2 4 3 2 +--R (- 2a b + 2a b )cos(x) - 2a b + 2a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 3 4 2 4 3 2 4 5 +--R (- a b + a b)sin(x) + ((- a b + a b )cos(x) - a b + a )sin(x) +--R + +--R 2 3 4 2 3 4 +--R (- a b + a b)cos(x) - a b + a b +--R Type: Expression Integer +--E 389 + +--S 390 of 532 +m0772b:= a0772.2-r0772 +--R +--R +--R +---------+ x +--R | 2 2 a tan(-) + b +--R (a sin(x) + b cos(x) + b)\|- b + a 2 +--R - 2atan(-------------------------------------) - 2atan(------------) +--R 2 2 2 2 +---------+ +--R (b - a )cos(x) + b - a | 2 2 +--R \|- b + a +--R (360) -------------------------------------------------------------------- +--R +---------+ +--R | 2 2 +--R b\|- b + a +--R Type: Expression Integer +--E 390 + +--S 391 of 532 +d0772b:= D(m0772b,x) +--R +--R +--R (361) +--R 2 2 x 2 +--R (a sin(x) + (- 2b cos(x) - 2b)sin(x) + a cos(x) - a)tan(-) +--R 2 +--R + +--R 2 2 x 2 +--R (4b sin(x) + 4b cos(x) + 4b cos(x))tan(-) + a sin(x) +--R 2 +--R + +--R 2 +--R (- 2b cos(x) - 2b)sin(x) + a cos(x) - a +--R / +--R 2 2 2 2 2 2 2 +--R a b sin(x) + (2a b cos(x) + 2a b )sin(x) + a b cos(x) + 2a b cos(x) +--R + +--R 2 +--R a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 3 3 2 2 2 +--R 2a b sin(x) + (4b cos(x) + 4b )sin(x) + 2a b cos(x) + 4a b cos(x) +--R + +--R 2 +--R 2a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 2 2 2 2 2 2 2 2 +--R a b sin(x) + (2a b cos(x) + 2a b )sin(x) + a b cos(x) + 2a b cos(x) + a b +--R Type: Expression Integer +--E 391 + +--S 392 of 532 +t0773:= x*cos(x)/(a+b*sin(x))^3 +--R +--R +--R x cos(x) +--R (362) ------------------------------------------- +--R 3 3 2 2 2 3 +--R b sin(x) + 3a b sin(x) + 3a b sin(x) + a +--R Type: Expression Integer +--E 392 + +--S 393 of 532 +r0773:= a*atan((b+a*tan(1/2*x))/(a^2-b^2)^(1/2))/b/(a^2-b^2)^(3/2)-1/2*x/b/(a+b*sin(x))^2+1/2*cos(x)/(a^2-b^2)/(a+b*sin(x)) +--R +--R +--R (363) +--R x +--R a tan(-) + b +--R 2 2 2 3 2 +--R (- 2a b sin(x) - 4a b sin(x) - 2a )atan(------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R 2 2 2 | 2 2 +--R (- b cos(x)sin(x) - a b cos(x) + (- b + a )x)\|- b + a +--R / +--R +---------+ +--R 5 2 3 2 4 3 2 2 3 4 | 2 2 +--R ((2b - 2a b )sin(x) + (4a b - 4a b )sin(x) + 2a b - 2a b)\|- b + a +--R Type: Expression Integer +--E 393 + +--S 394 of 532 +a0773:= integrate(t0773,x) +--R +--R +--R (364) +--R [ +--R 3 2 2 2 2 2 4 +--R (2a b sin(x) - a b cos(x) + a b + a ) +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(x) + (b - a )cos(x) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (a b - a )sin(x) + (b - a b)cos(x) + b - a b +--R / +--R b sin(x) + a +--R + +--R 2 2 3 2 2 +--R (- a b cos(x) - 2a b )sin(x) + b cos(x) - a b cos(x) +--R + +--R 2 3 3 2 +--R (- a b + a )x - b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R 2 4 4 2 5 3 3 2 5 5 +--R ((4a b - 4a b )sin(x) + (- 2a b + 2a b )cos(x) + 2a b - 2a b) +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R , +--R +--R 3 2 2 2 2 2 4 +--R (4a b sin(x) - 2a b cos(x) + 2a b + 2a ) +--R * +--R +---------+ +--R | 2 2 +--R (a sin(x) + b cos(x) + b)\|- b + a +--R atan(-------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(x) + b - a +--R + +--R 2 2 3 2 2 +--R (- a b cos(x) - 2a b )sin(x) + b cos(x) - a b cos(x) +--R + +--R 2 3 3 2 +--R (- a b + a )x - b - a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 2 4 4 2 5 3 3 2 5 5 +--R ((4a b - 4a b )sin(x) + (- 2a b + 2a b )cos(x) + 2a b - 2a b) +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 394 + +--S 395 of 532 +m0773a:= a0773.1-r0773 +--R +--R +--R (365) +--R 3 3 3 2 4 2 2 4 4 2 2 +--R 2a b sin(x) + (- a b cos(x) + a b + 5a b )sin(x) +--R + +--R 3 3 2 3 3 5 4 2 2 4 2 6 +--R (- 2a b cos(x) + 2a b + 4a b)sin(x) - a b cos(x) + a b + a +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R * +--R log +--R +-------+ +--R 2 2 2 | 2 2 +--R (a b sin(x) + (b - a )cos(x) + b )\|b - a +--R + +--R 2 3 3 2 3 2 +--R (a b - a )sin(x) + (b - a b)cos(x) + b - a b +--R / +--R b sin(x) + a +--R + +--R 3 3 3 2 4 2 2 4 4 2 2 +--R 4a b sin(x) + (- 2a b cos(x) + 2a b + 10a b )sin(x) +--R + +--R 3 3 2 3 3 5 4 2 2 4 2 6 +--R (- 4a b cos(x) + 4a b + 8a b)sin(x) - 2a b cos(x) + 2a b + 2a +--R * +--R x +--R +-------+ a tan(-) + b +--R | 2 2 2 +--R \|b - a atan(------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 4 4 3 +--R (- a b cos(x) - 2a b )sin(x) +--R + +--R 5 2 2 3 4 3 2 5 2 3 2 +--R (b cos(x) - a b cos(x) + (- a b + a b )x - b - 5a b )sin(x) +--R + +--R 4 3 4 2 4 4 3 2 +--R (- a b cos(x) + 2a b cos(x) + a b cos(x) - 2a b - 4a b )sin(x) +--R + +--R 2 3 3 4 3 2 2 3 2 2 3 +--R - a b cos(x) + ((- a b + a b )x + a b )cos(x) + a b cos(x) +--R + +--R 4 3 2 2 3 4 +--R (a b - a b )x - a b - a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R / +--R 2 6 4 4 3 +--R (4a b - 4a b )sin(x) +--R + +--R 7 3 5 2 7 3 5 5 3 2 +--R ((- 2a b + 2a b )cos(x) + 2a b + 8a b - 10a b )sin(x) +--R + +--R 2 6 4 4 2 2 6 4 4 6 2 +--R ((- 4a b + 4a b )cos(x) + 4a b + 4a b - 8a b )sin(x) +--R + +--R 3 5 5 3 2 3 5 7 +--R (- 2a b + 2a b )cos(x) + 2a b - 2a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R Type: Expression Integer +--E 395 + +--S 396 of 532 +d0773a:= D(m0773a,x) +--R +--R +--R (366) +--R 3 6 7 +--R 2a b sin(x) +--R + +--R 2 7 2 2 7 4 5 2 7 4 5 6 +--R (a b cos(x) + (2a b - 2a b )cos(x) + 3a b + 5a b )sin(x) +--R + +--R 8 3 6 3 8 3 6 2 +--R (a b - a b )cos(x) + (a b + 8a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 5 4 8 +--R ((2a b - 2a b )x + a b + 8a b - 9a b )cos(x) + a b +--R + +--R 3 6 5 4 +--R 7a b + 6a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 7 4 5 3 +--R (4a b - 4a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 2 +--R ((2a b - 4a b + 2a b )x + 6a b + 8a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 +--R ((2a b + 6a b - 8a b )x + 2a b + 16a b - 18a b )cos(x) +--R + +--R 4 5 6 3 +--R 16a b + 4a b +--R * +--R 4 +--R sin(x) +--R + +--R 8 3 6 5 8 3 6 4 +--R (a b - a b )cos(x) + (a b + 9a b )cos(x) +--R + +--R 3 6 5 4 3 +--R (2a b - 2a b )cos(x) +--R + +--R 2 7 4 5 6 3 3 6 5 4 2 +--R ((8a b - 16a b + 8a b )x - 10a b - 4a b )cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 7 2 +--R ((8a b - 4a b - 4a b )x - a b + 5a b + 13a b - 17a b ) +--R * +--R cos(x) +--R + +--R 8 3 6 5 4 7 2 +--R - a b + 7a b + 23a b + a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 7 6 2 7 4 5 5 +--R - 2a b cos(x) + (7a b - 7a b )cos(x) +--R + +--R 2 7 4 5 4 +--R (13a b + 17a b )cos(x) +--R + +--R 3 6 5 4 2 7 4 5 3 +--R ((8a b - 8a b )x - 8a b + 8a b )cos(x) +--R + +--R 3 6 5 4 7 2 2 7 4 5 6 3 2 +--R ((4a b - 8a b + 4a b )x - 14a b - 28a b - 9a b )cos(x) +--R + +--R 3 6 5 4 2 7 4 5 6 3 8 +--R ((- 4a b + 4a b )x + a b + a b + 5a b - 7a b)cos(x) +--R + +--R 2 7 4 5 6 3 +--R 3a b + 13a b + 16a b +--R * +--R 2 +--R sin(x) +--R + +--R 8 3 6 7 8 3 6 6 +--R (- a b + a b )cos(x) + (- a b - 3a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 5 4 5 +--R ((- 2a b + 2a b )x + 3a b + 5a b - 8a b )cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 4 +--R ((8a b - 16a b + 8a b )x + 3a b + 17a b + 10a b )cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 +--R (12a b - 8a b - 4a b )x - 3a b - 7a b + 12a b +--R + +--R 7 2 +--R - 2a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 +--R (- 8a b + 16a b - 8a b )x - 3a b - 19a b - 16a b +--R + +--R 7 2 +--R - 5a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 7 2 +--R (- 10a b + 6a b + 4a b )x + a b + a b - 4a b + 3a b +--R + +--R 9 +--R - a +--R * +--R cos(x) +--R + +--R 8 3 6 5 4 7 2 +--R a b + 5a b + 6a b + 6a b +--R * +--R sin(x) +--R + +--R 2 7 4 5 7 +--R (- a b + a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 +--R ((- 2a b + 4a b - 2a b )x - a b - a b )cos(x) +--R + +--R 8 3 6 2 7 4 5 6 3 5 +--R ((- 2a b + 2a b )x + 3a b - a b - 2a b )cos(x) +--R + +--R 8 3 6 5 4 7 2 2 7 4 5 6 3 4 +--R ((4a b - 4a b - 4a b + 4a b )x + 3a b + 5a b + 2a b )cos(x) +--R + +--R 8 5 4 2 7 4 5 6 3 8 3 +--R ((4a b - 4a b )x - 3a b + a b + 3a b - a b)cos(x) +--R + +--R 8 5 4 7 2 2 7 4 5 6 3 8 2 +--R ((- 2a b + 6a b - 4a b )x - 3a b - 5a b - 3a b - a b)cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 8 +--R ((- 2a b - 2a b + 4a b )x + a b - a b - a b + a b)cos(x) +--R + +--R 2 7 4 5 6 3 8 +--R a b + a b + a b + a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 7 7 +--R 4a b sin(x) +--R + +--R 8 2 8 3 6 8 3 6 6 +--R (2a b cos(x) + (4a b - 4a b )cos(x) + 6a b + 2a b )sin(x) +--R + +--R 9 2 7 3 9 2 7 2 +--R (2b - 2a b )cos(x) + (2b + 24a b )cos(x) +--R + +--R 8 3 6 9 2 7 4 5 9 2 7 +--R ((4a b - 4a b )x + 2b + 8a b - 10a b )cos(x) + 2b - 2a b +--R + +--R 4 5 +--R - 20a b +--R * +--R 5 +--R sin(x) +--R + +--R 8 4 8 3 6 3 +--R - 2a b cos(x) + (16a b - 16a b )cos(x) +--R + +--R 9 2 7 4 5 8 3 6 2 +--R ((4b - 8a b + 4a b )x + 24a b + 44a b )cos(x) +--R + +--R 9 2 7 4 5 8 3 6 5 4 +--R ((4b + 12a b - 16a b )x - 4a b + 8a b - 4a b )cos(x) +--R + +--R 8 3 6 5 4 +--R - 10a b - 28a b - 42a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 7 4 9 2 7 4 5 3 +--R 12a b cos(x) + (4b + 28a b - 32a b )cos(x) +--R + +--R 8 3 6 5 4 9 2 7 4 5 2 +--R ((16a b - 32a b + 16a b )x + 4b + 20a b + 28a b )cos(x) +--R + +--R 8 3 6 5 4 9 2 7 4 5 6 3 +--R ((16a b - 8a b - 8a b )x - 4b - 16a b + 4a b + 16a b ) +--R * +--R cos(x) +--R + +--R 9 2 7 4 5 6 3 +--R - 4b - 20a b - 40a b - 36a b +--R * +--R 3 +--R sin(x) +--R + +--R 8 6 8 3 6 5 +--R - 4a b cos(x) + (8a b - 8a b )cos(x) +--R + +--R 8 3 6 4 +--R (20a b + 28a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 5 4 3 +--R ((16a b - 16a b )x - 4a b + 40a b - 36a b )cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 2 +--R ((8a b - 16a b + 8a b )x - 16a b - 8a b + 2a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 5 4 7 2 +--R ((- 8a b + 8a b )x - 4a b - 28a b + 8a b + 24a b )cos(x) +--R + +--R 3 6 5 4 7 2 +--R - 16a b - 26a b - 14a b +--R * +--R 2 +--R sin(x) +--R + +--R 9 2 7 7 9 2 7 6 +--R (- 2b + 2a b )cos(x) + (- 2b - 6a b )cos(x) +--R + +--R 8 3 6 9 2 7 4 5 5 +--R ((- 4a b + 4a b )x + 6b + 4a b - 10a b )cos(x) +--R + +--R 8 3 6 5 4 9 2 7 4 5 4 +--R ((16a b - 32a b + 16a b )x + 6b + 28a b + 18a b )cos(x) +--R + +--R 8 3 6 5 4 9 2 7 4 5 +--R (24a b - 16a b - 8a b )x - 6b - 2a b + 32a b +--R + +--R 6 3 +--R - 24a b +--R * +--R 3 +--R cos(x) +--R + +--R 8 3 6 5 4 9 2 7 4 5 +--R (- 16a b + 32a b - 16a b )x - 6b - 26a b - 8a b +--R + +--R 6 3 +--R - 6a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 3 6 5 4 9 2 7 4 5 +--R (- 20a b + 12a b + 8a b )x + 2b - 4a b - 22a b +--R + +--R 6 3 8 +--R 12a b + 12a b +--R * +--R cos(x) +--R + +--R 9 2 7 4 5 6 3 8 +--R 2b + 4a b - 10a b - 6a b - 2a b +--R * +--R sin(x) +--R + +--R 8 3 6 7 +--R (- 2a b + 2a b )cos(x) +--R + +--R 9 2 7 4 5 8 3 6 6 +--R ((- 4b + 8a b - 4a b )x - 2a b - 2a b )cos(x) +--R + +--R 9 2 7 8 3 6 5 4 5 +--R ((- 4b + 4a b )x + 6a b - 4a b - 2a b )cos(x) +--R + +--R 9 2 7 4 5 6 3 8 3 6 5 4 4 +--R ((8b - 8a b - 8a b + 8a b )x + 6a b + 8a b + 4a b )cos(x) +--R + +--R 9 4 5 8 3 6 5 4 7 2 3 +--R ((8b - 8a b )x - 6a b + 6a b + 6a b - 6a b )cos(x) +--R + +--R 9 4 5 6 3 8 3 6 5 4 7 2 +--R ((- 4b + 12a b - 8a b )x - 6a b - 6a b - 2a b - 2a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 9 2 7 4 5 8 3 6 5 4 7 2 +--R (- 4b - 4a b + 8a b )x + 2a b - 4a b - 4a b + 4a b +--R + +--R 9 +--R 2a +--R * +--R cos(x) +--R + +--R 8 5 4 +--R 2a b - 2a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 6 7 +--R 2a b sin(x) +--R + +--R 2 7 2 2 7 4 5 2 7 4 5 6 +--R (a b cos(x) + (2a b - 2a b )cos(x) + 3a b + 5a b )sin(x) +--R + +--R 8 3 6 3 8 3 6 2 +--R (a b - a b )cos(x) + (a b + 8a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 5 4 8 3 6 +--R ((2a b - 2a b )x + a b + 8a b - 9a b )cos(x) + a b + 7a b +--R + +--R 5 4 +--R 6a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 7 4 5 3 +--R (4a b - 4a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 2 +--R ((2a b - 4a b + 2a b )x + 6a b + 8a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 +--R ((2a b + 6a b - 8a b )x + 2a b + 16a b - 18a b )cos(x) +--R + +--R 4 5 6 3 +--R 16a b + 4a b +--R * +--R 4 +--R sin(x) +--R + +--R 8 3 6 5 8 3 6 4 +--R (a b - a b )cos(x) + (a b + 9a b )cos(x) +--R + +--R 3 6 5 4 3 +--R (2a b - 2a b )cos(x) +--R + +--R 2 7 4 5 6 3 3 6 5 4 2 +--R ((8a b - 16a b + 8a b )x - 10a b - 4a b )cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 7 2 +--R ((8a b - 4a b - 4a b )x - a b + 5a b + 13a b - 17a b )cos(x) +--R + +--R 8 3 6 5 4 7 2 +--R - a b + 7a b + 23a b + a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 7 6 2 7 4 5 5 +--R - 2a b cos(x) + (7a b - 7a b )cos(x) +--R + +--R 2 7 4 5 4 +--R (13a b + 17a b )cos(x) +--R + +--R 3 6 5 4 2 7 4 5 3 +--R ((8a b - 8a b )x - 8a b + 8a b )cos(x) +--R + +--R 3 6 5 4 7 2 2 7 4 5 6 3 2 +--R ((4a b - 8a b + 4a b )x - 14a b - 28a b - 9a b )cos(x) +--R + +--R 3 6 5 4 2 7 4 5 6 3 8 2 7 +--R ((- 4a b + 4a b )x + a b + a b + 5a b - 7a b)cos(x) + 3a b +--R + +--R 4 5 6 3 +--R 13a b + 16a b +--R * +--R 2 +--R sin(x) +--R + +--R 8 3 6 7 8 3 6 6 +--R (- a b + a b )cos(x) + (- a b - 3a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 5 4 5 +--R ((- 2a b + 2a b )x + 3a b + 5a b - 8a b )cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 4 +--R ((8a b - 16a b + 8a b )x + 3a b + 17a b + 10a b )cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 7 2 +--R ((12a b - 8a b - 4a b )x - 3a b - 7a b + 12a b - 2a b ) +--R * +--R 3 +--R cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 7 2 +--R ((- 8a b + 16a b - 8a b )x - 3a b - 19a b - 16a b - 5a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 7 2 +--R (- 10a b + 6a b + 4a b )x + a b + a b - 4a b + 3a b +--R + +--R 9 +--R - a +--R * +--R cos(x) +--R + +--R 8 3 6 5 4 7 2 +--R a b + 5a b + 6a b + 6a b +--R * +--R sin(x) +--R + +--R 2 7 4 5 7 +--R (- a b + a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 +--R ((- 2a b + 4a b - 2a b )x - a b - a b )cos(x) +--R + +--R 8 3 6 2 7 4 5 6 3 5 +--R ((- 2a b + 2a b )x + 3a b - a b - 2a b )cos(x) +--R + +--R 8 3 6 5 4 7 2 2 7 4 5 6 3 4 +--R ((4a b - 4a b - 4a b + 4a b )x + 3a b + 5a b + 2a b )cos(x) +--R + +--R 8 5 4 2 7 4 5 6 3 8 3 +--R ((4a b - 4a b )x - 3a b + a b + 3a b - a b)cos(x) +--R + +--R 8 5 4 7 2 2 7 4 5 6 3 8 2 +--R ((- 2a b + 6a b - 4a b )x - 3a b - 5a b - 3a b - a b)cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 8 2 7 +--R ((- 2a b - 2a b + 4a b )x + a b - a b - a b + a b)cos(x) + a b +--R + +--R 4 5 6 3 8 +--R a b + a b + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 3 7 5 5 7 +--R (2a b - 2a b )sin(x) +--R + +--R 2 8 4 6 2 2 8 4 6 2 8 4 6 +--R (a b - a b )cos(x) + (2a b - 2a b )cos(x) + 3a b + 2a b +--R + +--R 6 4 +--R - 5a b +--R * +--R 6 +--R sin(x) +--R + +--R 9 3 7 3 9 3 7 5 5 2 +--R (a b - a b )cos(x) + (a b + 7a b - 8a b )cos(x) +--R + +--R 2 8 4 6 6 4 9 3 7 5 5 9 +--R ((2a b - 4a b + 2a b )x + a b + 8a b - 9a b )cos(x) + a b +--R + +--R 3 7 5 5 7 3 +--R 6a b - a b - 6a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 8 4 6 3 +--R (4a b - 4a b )cos(x) +--R + +--R 9 3 7 5 5 2 8 4 6 6 4 2 +--R ((2a b - 4a b + 2a b )x + 6a b + 2a b - 8a b )cos(x) +--R + +--R 9 3 7 5 5 7 3 2 8 4 6 6 4 +--R ((2a b + 4a b - 14a b + 8a b )x + 2a b + 16a b - 18a b ) +--R * +--R cos(x) +--R + +--R 4 6 6 4 8 2 +--R 16a b - 12a b - 4a b +--R * +--R 4 +--R sin(x) +--R + +--R 9 3 7 5 9 3 7 5 5 4 +--R (a b - a b )cos(x) + (a b + 8a b - 9a b )cos(x) +--R + +--R 3 7 5 5 3 +--R (2a b - 2a b )cos(x) +--R + +--R 2 8 4 6 6 4 3 7 5 5 7 3 2 +--R ((8a b - 16a b + 8a b )x - 10a b + 6a b + 4a b )cos(x) +--R + +--R 2 8 4 6 8 2 9 3 7 5 5 7 3 +--R ((8a b - 12a b + 4a b )x - a b + 5a b + 13a b - 17a b ) +--R * +--R cos(x) +--R + +--R 9 3 7 5 5 7 3 9 +--R - a b + 8a b + 16a b - 22a b - a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 8 4 6 6 2 8 4 6 5 +--R (- 2a b + 2a b )cos(x) + (7a b - 7a b )cos(x) +--R + +--R 2 8 4 6 6 4 4 +--R (13a b + 4a b - 17a b )cos(x) +--R + +--R 3 7 5 5 7 3 2 8 4 6 3 +--R ((8a b - 16a b + 8a b )x - 8a b + 8a b )cos(x) +--R + +--R 3 7 5 5 7 3 2 8 4 6 6 4 8 2 +--R ((4a b - 8a b + 4a b )x - 14a b - 14a b + 19a b + 9a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 3 7 5 5 7 3 2 8 4 6 6 4 8 2 +--R ((- 4a b + 8a b - 4a b )x + a b + a b + 5a b - 7a b )cos(x) +--R + +--R 2 8 4 6 6 4 8 2 +--R 3a b + 10a b + 3a b - 16a b +--R * +--R 2 +--R sin(x) +--R + +--R 9 3 7 7 9 3 7 5 5 6 +--R (- a b + a b )cos(x) + (- a b - 2a b + 3a b )cos(x) +--R + +--R 2 8 4 6 6 4 9 3 7 5 5 5 +--R ((- 2a b + 4a b - 2a b )x + 3a b + 5a b - 8a b )cos(x) +--R + +--R 2 8 4 6 6 4 9 3 7 5 5 7 3 +--R ((8a b - 16a b + 8a b )x + 3a b + 14a b - 7a b - 10a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 2 8 4 6 6 4 8 2 9 3 7 5 5 +--R (12a b - 20a b + 4a b + 4a b )x - 3a b - 7a b + 12a b +--R + +--R 7 3 +--R - 2a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 8 4 6 6 4 9 3 7 5 5 7 3 +--R (- 8a b + 16a b - 8a b )x - 3a b - 16a b + 3a b + 11a b +--R + +--R 9 +--R 5a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 8 4 6 6 4 8 2 9 3 7 5 5 +--R (- 10a b + 16a b - 2a b - 4a b )x + a b + a b - 4a b +--R + +--R 7 3 9 +--R 3a b - a b +--R * +--R cos(x) +--R + +--R 9 3 7 5 5 9 +--R a b + 4a b + a b - 6a b +--R * +--R sin(x) +--R + +--R 2 8 4 6 7 +--R (- a b + a b )cos(x) +--R + +--R 9 3 7 5 5 2 8 6 4 6 +--R ((- 2a b + 4a b - 2a b )x - a b + a b )cos(x) +--R + +--R 9 3 7 5 5 2 8 4 6 6 4 5 +--R ((- 2a b + 4a b - 2a b )x + 3a b - a b - 2a b )cos(x) +--R + +--R 9 3 7 5 5 7 3 2 8 4 6 6 4 8 2 +--R ((4a b - 4a b - 4a b + 4a b )x + 3a b + 2a b - 3a b - 2a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 9 3 7 5 5 7 3 2 8 4 6 6 4 8 2 +--R ((4a b - 4a b - 4a b + 4a b )x - 3a b + a b + 3a b - a b ) +--R * +--R 3 +--R cos(x) +--R + +--R 9 5 5 7 3 2 8 4 6 6 4 8 2 10 +--R ((- 2a b + 6a b - 4a b )x - 3a b - 2a b + 2a b + 2a b + a ) +--R * +--R 2 +--R cos(x) +--R + +--R 9 5 5 7 3 2 8 4 6 6 4 8 2 2 8 +--R ((- 2a b + 6a b - 4a b )x + a b - a b - a b + a b )cos(x) + a b +--R + +--R 10 +--R - a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 8 4 6 7 +--R (4a b - 4a b )sin(x) +--R + +--R 9 3 7 2 9 3 7 9 3 7 +--R (2a b - 2a b )cos(x) + (4a b - 4a b )cos(x) + 6a b - 4a b +--R + +--R 5 5 +--R - 2a b +--R * +--R 6 +--R sin(x) +--R + +--R 10 2 8 3 10 2 8 4 6 2 +--R (2b - 2a b )cos(x) + (2b + 22a b - 24a b )cos(x) +--R + +--R 9 3 7 5 5 10 2 8 4 6 10 +--R ((4a b - 8a b + 4a b )x + 2b + 8a b - 10a b )cos(x) + 2b +--R + +--R 2 8 4 6 6 4 +--R - 4a b - 18a b + 20a b +--R * +--R 5 +--R sin(x) +--R + +--R 9 3 7 4 9 3 7 3 +--R (- 2a b + 2a b )cos(x) + (16a b - 16a b )cos(x) +--R + +--R 10 2 8 4 6 9 3 7 5 5 2 +--R ((4b - 8a b + 4a b )x + 24a b + 20a b - 44a b )cos(x) +--R + +--R 10 2 8 4 6 6 4 9 3 7 5 5 +--R ((4b + 8a b - 28a b + 16a b )x - 4a b + 8a b - 4a b )cos(x) +--R + +--R 9 3 7 5 5 7 3 +--R - 10a b - 18a b - 14a b + 42a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 8 4 6 4 10 2 8 4 6 3 +--R (12a b - 12a b )cos(x) + (4b + 28a b - 32a b )cos(x) +--R + +--R 9 3 7 5 5 10 2 8 4 6 6 4 +--R ((16a b - 32a b + 16a b )x + 4b + 16a b + 8a b - 28a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 9 3 7 7 3 10 2 8 4 6 6 4 +--R ((16a b - 24a b + 8a b )x - 4b - 16a b + 4a b + 16a b ) +--R * +--R cos(x) +--R + +--R 10 2 8 4 6 6 4 8 2 +--R - 4b - 16a b - 20a b + 4a b + 36a b +--R * +--R 3 +--R sin(x) +--R + +--R 9 3 7 6 9 3 7 5 +--R (- 4a b + 4a b )cos(x) + (8a b - 8a b )cos(x) +--R + +--R 9 3 7 5 5 4 +--R (20a b + 8a b - 28a b )cos(x) +--R + +--R 2 8 4 6 6 4 9 3 7 5 5 3 +--R ((16a b - 32a b + 16a b )x - 4a b + 40a b - 36a b )cos(x) +--R + +--R 2 8 4 6 6 4 9 3 7 5 5 7 3 +--R ((8a b - 16a b + 8a b )x - 16a b + 8a b + 10a b - 2a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 8 4 6 6 4 9 3 7 5 5 7 3 +--R ((- 8a b + 16a b - 8a b )x - 4a b - 28a b + 8a b + 24a b ) +--R * +--R cos(x) +--R + +--R 3 7 5 5 7 3 9 +--R - 16a b - 10a b + 12a b + 14a b +--R * +--R 2 +--R sin(x) +--R + +--R 10 2 8 7 10 2 8 4 6 6 +--R (- 2b + 2a b )cos(x) + (- 2b - 4a b + 6a b )cos(x) +--R + +--R 9 3 7 5 5 10 2 8 4 6 5 +--R ((- 4a b + 8a b - 4a b )x + 6b + 4a b - 10a b )cos(x) +--R + +--R 9 3 7 5 5 10 2 8 4 6 6 4 +--R ((16a b - 32a b + 16a b )x + 6b + 22a b - 10a b - 18a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 9 3 7 5 5 7 3 10 2 8 4 6 +--R (24a b - 40a b + 8a b + 8a b )x - 6b - 2a b + 32a b +--R + +--R 6 4 +--R - 24a b +--R * +--R 3 +--R cos(x) +--R + +--R 9 3 7 5 5 10 2 8 4 6 +--R (- 16a b + 32a b - 16a b )x - 6b - 20a b + 18a b +--R + +--R 6 4 8 2 +--R 2a b + 6a b +--R * +--R 2 +--R cos(x) +--R + +--R 9 3 7 5 5 7 3 10 2 8 4 6 +--R (- 20a b + 32a b - 4a b - 8a b )x + 2b - 4a b - 22a b +--R + +--R 6 4 8 2 +--R 12a b + 12a b +--R * +--R cos(x) +--R + +--R 10 2 8 4 6 6 4 8 2 10 +--R 2b + 2a b - 14a b + 4a b + 4a b + 2a +--R * +--R sin(x) +--R + +--R 9 3 7 7 +--R (- 2a b + 2a b )cos(x) +--R + +--R 10 2 8 4 6 9 5 5 6 +--R ((- 4b + 8a b - 4a b )x - 2a b + 2a b )cos(x) +--R + +--R 10 2 8 4 6 9 3 7 5 5 5 +--R ((- 4b + 8a b - 4a b )x + 6a b - 4a b - 2a b )cos(x) +--R + +--R 10 2 8 4 6 6 4 9 3 7 5 5 7 3 +--R ((8b - 8a b - 8a b + 8a b )x + 6a b + 2a b - 4a b - 4a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 10 2 8 4 6 6 4 9 3 7 5 5 7 3 +--R ((8b - 8a b - 8a b + 8a b )x - 6a b + 6a b + 6a b - 6a b ) +--R * +--R 3 +--R cos(x) +--R + +--R 10 4 6 6 4 9 5 5 9 2 +--R ((- 4b + 12a b - 8a b )x - 6a b + 4a b + 2a b)cos(x) +--R + +--R 10 4 6 6 4 9 3 7 5 5 7 3 9 +--R ((- 4b + 12a b - 8a b )x + 2a b - 4a b - 4a b + 4a b + 2a b) +--R * +--R cos(x) +--R + +--R 9 3 7 5 5 7 3 +--R 2a b - 2a b - 2a b + 2a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 7 5 5 7 +--R (2a b - 2a b )sin(x) +--R + +--R 2 8 4 6 2 2 8 4 6 2 8 4 6 6 4 +--R ((a b - a b )cos(x) + (2a b - 2a b )cos(x) + 3a b + 2a b - 5a b ) +--R * +--R 6 +--R sin(x) +--R + +--R 9 3 7 3 9 3 7 5 5 2 +--R (a b - a b )cos(x) + (a b + 7a b - 8a b )cos(x) +--R + +--R 2 8 4 6 6 4 9 3 7 5 5 9 +--R ((2a b - 4a b + 2a b )x + a b + 8a b - 9a b )cos(x) + a b +--R + +--R 3 7 5 5 7 3 +--R 6a b - a b - 6a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 8 4 6 3 +--R (4a b - 4a b )cos(x) +--R + +--R 9 3 7 5 5 2 8 4 6 6 4 2 +--R ((2a b - 4a b + 2a b )x + 6a b + 2a b - 8a b )cos(x) +--R + +--R 9 3 7 5 5 7 3 2 8 4 6 6 4 +--R ((2a b + 4a b - 14a b + 8a b )x + 2a b + 16a b - 18a b )cos(x) +--R + +--R 4 6 6 4 8 2 +--R 16a b - 12a b - 4a b +--R * +--R 4 +--R sin(x) +--R + +--R 9 3 7 5 9 3 7 5 5 4 +--R (a b - a b )cos(x) + (a b + 8a b - 9a b )cos(x) +--R + +--R 3 7 5 5 3 +--R (2a b - 2a b )cos(x) +--R + +--R 2 8 4 6 6 4 3 7 5 5 7 3 2 +--R ((8a b - 16a b + 8a b )x - 10a b + 6a b + 4a b )cos(x) +--R + +--R 2 8 4 6 8 2 9 3 7 5 5 7 3 +--R ((8a b - 12a b + 4a b )x - a b + 5a b + 13a b - 17a b )cos(x) +--R + +--R 9 3 7 5 5 7 3 9 +--R - a b + 8a b + 16a b - 22a b - a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 8 4 6 6 2 8 4 6 5 +--R (- 2a b + 2a b )cos(x) + (7a b - 7a b )cos(x) +--R + +--R 2 8 4 6 6 4 4 +--R (13a b + 4a b - 17a b )cos(x) +--R + +--R 3 7 5 5 7 3 2 8 4 6 3 +--R ((8a b - 16a b + 8a b )x - 8a b + 8a b )cos(x) +--R + +--R 3 7 5 5 7 3 2 8 4 6 6 4 8 2 2 +--R ((4a b - 8a b + 4a b )x - 14a b - 14a b + 19a b + 9a b )cos(x) +--R + +--R 3 7 5 5 7 3 2 8 4 6 6 4 8 2 +--R ((- 4a b + 8a b - 4a b )x + a b + a b + 5a b - 7a b )cos(x) +--R + +--R 2 8 4 6 6 4 8 2 +--R 3a b + 10a b + 3a b - 16a b +--R * +--R 2 +--R sin(x) +--R + +--R 9 3 7 7 9 3 7 5 5 6 +--R (- a b + a b )cos(x) + (- a b - 2a b + 3a b )cos(x) +--R + +--R 2 8 4 6 6 4 9 3 7 5 5 5 +--R ((- 2a b + 4a b - 2a b )x + 3a b + 5a b - 8a b )cos(x) +--R + +--R 2 8 4 6 6 4 9 3 7 5 5 7 3 4 +--R ((8a b - 16a b + 8a b )x + 3a b + 14a b - 7a b - 10a b )cos(x) +--R + +--R 2 8 4 6 6 4 8 2 9 3 7 5 5 +--R (12a b - 20a b + 4a b + 4a b )x - 3a b - 7a b + 12a b +--R + +--R 7 3 +--R - 2a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 8 4 6 6 4 9 3 7 5 5 7 3 +--R (- 8a b + 16a b - 8a b )x - 3a b - 16a b + 3a b + 11a b +--R + +--R 9 +--R 5a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 8 4 6 6 4 8 2 9 3 7 5 5 +--R (- 10a b + 16a b - 2a b - 4a b )x + a b + a b - 4a b +--R + +--R 7 3 9 +--R 3a b - a b +--R * +--R cos(x) +--R + +--R 9 3 7 5 5 9 +--R a b + 4a b + a b - 6a b +--R * +--R sin(x) +--R + +--R 2 8 4 6 7 +--R (- a b + a b )cos(x) +--R + +--R 9 3 7 5 5 2 8 6 4 6 +--R ((- 2a b + 4a b - 2a b )x - a b + a b )cos(x) +--R + +--R 9 3 7 5 5 2 8 4 6 6 4 5 +--R ((- 2a b + 4a b - 2a b )x + 3a b - a b - 2a b )cos(x) +--R + +--R 9 3 7 5 5 7 3 2 8 4 6 6 4 8 2 4 +--R ((4a b - 4a b - 4a b + 4a b )x + 3a b + 2a b - 3a b - 2a b )cos(x) +--R + +--R 9 3 7 5 5 7 3 2 8 4 6 6 4 8 2 3 +--R ((4a b - 4a b - 4a b + 4a b )x - 3a b + a b + 3a b - a b )cos(x) +--R + +--R 9 5 5 7 3 2 8 4 6 6 4 8 2 10 2 +--R ((- 2a b + 6a b - 4a b )x - 3a b - 2a b + 2a b + 2a b + a )cos(x) +--R + +--R 9 5 5 7 3 2 8 4 6 6 4 8 2 2 8 10 +--R ((- 2a b + 6a b - 4a b )x + a b - a b - a b + a b )cos(x) + a b - a +--R / +--R 4 8 6 6 6 +--R (8a b - 8a b )sin(x) +--R + +--R 3 9 5 7 2 3 9 5 7 7 5 +--R (- 8a b + 8a b )cos(x) + (8a b - 16a b + 8a b )cos(x) +--R + +--R 3 9 5 7 7 5 +--R 16a b + 16a b - 32a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 10 4 8 4 2 10 4 8 6 6 3 +--R (2a b - 2a b )cos(x) + (- 8a b + 16a b - 8a b )cos(x) +--R + +--R 2 10 4 8 6 6 2 +--R (- 12a b - 16a b + 28a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 2 10 4 8 +--R (8a b + 16a b - 56a b + 32a b )cos(x) + 10a b + 50a b +--R + +--R 6 6 8 4 +--R - 10a b - 50a b +--R * +--R 4 +--R sin(x) +--R + +--R 11 3 9 5 7 5 +--R (2a b - 4a b + 2a b )cos(x) +--R + +--R 11 3 9 5 7 4 +--R (2a b + 4a b - 6a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 3 +--R (- 4a b - 20a b + 52a b - 28a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 2 +--R (- 4a b - 36a b + 4a b + 36a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (2a b + 24a b - 4a b - 72a b + 50a b )cos(x) + 2a b +--R + +--R 3 9 5 7 7 5 9 3 +--R 32a b + 52a b - 48a b - 38a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 10 4 8 6 6 5 2 10 6 6 4 +--R (6a b - 12a b + 6a b )cos(x) + (6a b - 6a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 3 +--R (- 12a b - 12a b + 60a b - 36a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 2 +--R (- 12a b - 36a b + 28a b + 20a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 2 10 +--R (6a b + 24a b - 28a b - 40a b + 38a b )cos(x) + 6a b +--R + +--R 4 8 6 6 8 4 10 2 +--R 36a b + 16a b - 44a b - 14a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 9 5 7 7 5 5 +--R (6a b - 12a b + 6a b )cos(x) +--R + +--R 3 9 5 7 7 5 4 +--R (6a b - 4a b - 2a b )cos(x) +--R + +--R 3 9 5 7 7 5 9 3 3 +--R (- 12a b + 4a b + 28a b - 20a b )cos(x) +--R + +--R 3 9 5 7 7 5 9 3 2 +--R (- 12a b - 12a b + 20a b + 4a b )cos(x) +--R + +--R 3 9 5 7 7 5 9 3 11 3 9 +--R (6a b + 8a b - 20a b - 8a b + 14a b)cos(x) + 6a b +--R + +--R 5 7 7 5 9 3 11 +--R 16a b - 4a b - 16a b - 2a b +--R * +--R sin(x) +--R + +--R 4 8 6 6 8 4 5 4 8 6 6 4 +--R (2a b - 4a b + 2a b )cos(x) + (2a b - 2a b )cos(x) +--R + +--R 4 8 6 6 8 4 10 2 3 +--R (- 4a b + 4a b + 4a b - 4a b )cos(x) +--R + +--R 4 8 8 4 2 4 8 8 4 12 4 8 +--R (- 4a b + 4a b )cos(x) + (2a b - 4a b + 2a )cos(x) + 2a b +--R + +--R 6 6 8 4 10 2 +--R 2a b - 2a b - 2a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 9 5 7 6 +--R (16a b - 16a b )sin(x) +--R + +--R 2 10 4 8 2 +--R (- 16a b + 16a b )cos(x) +--R + +--R 2 10 4 8 6 6 2 10 4 8 6 6 +--R (16a b - 32a b + 16a b )cos(x) + 32a b + 32a b - 64a b +--R * +--R 5 +--R sin(x) +--R + +--R 11 3 9 4 +--R (4a b - 4a b )cos(x) +--R + +--R 11 3 9 5 7 3 +--R (- 16a b + 32a b - 16a b )cos(x) +--R + +--R 11 3 9 5 7 2 +--R (- 24a b - 32a b + 56a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 11 +--R (16a b + 32a b - 112a b + 64a b )cos(x) + 20a b +--R + +--R 3 9 5 7 7 5 +--R 100a b - 20a b - 100a b +--R * +--R 4 +--R sin(x) +--R + +--R 12 2 10 4 8 5 +--R (4b - 8a b + 4a b )cos(x) +--R + +--R 12 2 10 4 8 4 +--R (4b + 8a b - 12a b )cos(x) +--R + +--R 12 2 10 4 8 6 6 3 +--R (- 8b - 40a b + 104a b - 56a b )cos(x) +--R + +--R 12 2 10 4 8 6 6 2 +--R (- 8b - 72a b + 8a b + 72a b )cos(x) +--R + +--R 12 2 10 4 8 6 6 8 4 12 +--R (4b + 48a b - 8a b - 144a b + 100a b )cos(x) + 4b +--R + +--R 2 10 4 8 6 6 8 4 +--R 64a b + 104a b - 96a b - 76a b +--R * +--R 3 +--R sin(x) +--R + +--R 11 3 9 5 7 5 +--R (12a b - 24a b + 12a b )cos(x) +--R + +--R 11 5 7 4 +--R (12a b - 12a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 3 +--R (- 24a b - 24a b + 120a b - 72a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 2 +--R (- 24a b - 72a b + 56a b + 40a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (12a b + 48a b - 56a b - 80a b + 76a b )cos(x) + 12a b +--R + +--R 3 9 5 7 7 5 9 3 +--R 72a b + 32a b - 88a b - 28a b +--R * +--R 2 +--R sin(x) +--R + +--R 2 10 4 8 6 6 5 +--R (12a b - 24a b + 12a b )cos(x) +--R + +--R 2 10 4 8 6 6 4 +--R (12a b - 8a b - 4a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 3 +--R (- 24a b + 8a b + 56a b - 40a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 2 +--R (- 24a b - 24a b + 40a b + 8a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R (12a b + 16a b - 40a b - 16a b + 28a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 +--R 12a b + 32a b - 8a b - 32a b - 4a b +--R * +--R sin(x) +--R + +--R 3 9 5 7 7 5 5 3 9 5 7 4 +--R (4a b - 8a b + 4a b )cos(x) + (4a b - 4a b )cos(x) +--R + +--R 3 9 5 7 7 5 9 3 3 +--R (- 8a b + 8a b + 8a b - 8a b )cos(x) +--R + +--R 3 9 7 5 2 3 9 7 5 11 3 9 +--R (- 8a b + 8a b )cos(x) + (4a b - 8a b + 4a b)cos(x) + 4a b +--R + +--R 5 7 7 5 9 3 +--R 4a b - 4a b - 4a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 4 8 6 6 6 +--R (8a b - 8a b )sin(x) +--R + +--R 3 9 5 7 2 3 9 5 7 7 5 +--R (- 8a b + 8a b )cos(x) + (8a b - 16a b + 8a b )cos(x) +--R + +--R 3 9 5 7 7 5 +--R 16a b + 16a b - 32a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 10 4 8 4 2 10 4 8 6 6 3 +--R (2a b - 2a b )cos(x) + (- 8a b + 16a b - 8a b )cos(x) +--R + +--R 2 10 4 8 6 6 2 +--R (- 12a b - 16a b + 28a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 2 10 4 8 +--R (8a b + 16a b - 56a b + 32a b )cos(x) + 10a b + 50a b +--R + +--R 6 6 8 4 +--R - 10a b - 50a b +--R * +--R 4 +--R sin(x) +--R + +--R 11 3 9 5 7 5 11 3 9 5 7 4 +--R (2a b - 4a b + 2a b )cos(x) + (2a b + 4a b - 6a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 3 +--R (- 4a b - 20a b + 52a b - 28a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 2 +--R (- 4a b - 36a b + 4a b + 36a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 9 3 11 +--R (2a b + 24a b - 4a b - 72a b + 50a b )cos(x) + 2a b +--R + +--R 3 9 5 7 7 5 9 3 +--R 32a b + 52a b - 48a b - 38a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 10 4 8 6 6 5 2 10 6 6 4 +--R (6a b - 12a b + 6a b )cos(x) + (6a b - 6a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 3 +--R (- 12a b - 12a b + 60a b - 36a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 2 +--R (- 12a b - 36a b + 28a b + 20a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 10 2 2 10 +--R (6a b + 24a b - 28a b - 40a b + 38a b )cos(x) + 6a b +--R + +--R 4 8 6 6 8 4 10 2 +--R 36a b + 16a b - 44a b - 14a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 9 5 7 7 5 5 3 9 5 7 7 5 4 +--R (6a b - 12a b + 6a b )cos(x) + (6a b - 4a b - 2a b )cos(x) +--R + +--R 3 9 5 7 7 5 9 3 3 +--R (- 12a b + 4a b + 28a b - 20a b )cos(x) +--R + +--R 3 9 5 7 7 5 9 3 2 +--R (- 12a b - 12a b + 20a b + 4a b )cos(x) +--R + +--R 3 9 5 7 7 5 9 3 11 3 9 5 7 +--R (6a b + 8a b - 20a b - 8a b + 14a b)cos(x) + 6a b + 16a b +--R + +--R 7 5 9 3 11 +--R - 4a b - 16a b - 2a b +--R * +--R sin(x) +--R + +--R 4 8 6 6 8 4 5 4 8 6 6 4 +--R (2a b - 4a b + 2a b )cos(x) + (2a b - 2a b )cos(x) +--R + +--R 4 8 6 6 8 4 10 2 3 4 8 8 4 2 +--R (- 4a b + 4a b + 4a b - 4a b )cos(x) + (- 4a b + 4a b )cos(x) +--R + +--R 4 8 8 4 12 4 8 6 6 8 4 10 2 +--R (2a b - 4a b + 2a )cos(x) + 2a b + 2a b - 2a b - 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 4 9 6 7 8 5 6 +--R (8a b - 16a b + 8a b )sin(x) +--R + +--R 3 10 5 8 7 6 2 +--R (- 8a b + 16a b - 8a b )cos(x) +--R + +--R 3 10 5 8 7 6 3 10 7 6 9 4 +--R (8a b - 16a b + 8a b )cos(x) + 16a b - 48a b + 32a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 11 4 9 6 7 4 +--R (2a b - 4a b + 2a b )cos(x) +--R + +--R 2 11 4 9 6 7 3 +--R (- 8a b + 16a b - 8a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 2 +--R (- 12a b - 4a b + 44a b - 28a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 2 11 4 9 +--R (8a b + 16a b - 56a b + 32a b )cos(x) + 10a b + 40a b +--R + +--R 6 7 8 5 10 3 +--R - 60a b - 40a b + 50a b +--R * +--R 4 +--R sin(x) +--R + +--R 12 3 10 5 8 5 +--R (2a b - 4a b + 2a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 4 +--R (2a b + 2a b - 10a b + 6a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 3 +--R (- 4a b - 20a b + 52a b - 28a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 9 4 2 +--R (- 4a b - 32a b + 40a b + 32a b - 36a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 9 4 12 +--R (2a b + 24a b - 4a b - 72a b + 50a b )cos(x) + 2a b +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R 30a b + 20a b - 100a b + 10a b + 38a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 11 4 9 6 7 5 +--R (6a b - 12a b + 6a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 4 +--R (6a b - 6a b - 6a b + 6a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 3 +--R (- 12a b - 12a b + 60a b - 36a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 +--R (- 12a b - 24a b + 64a b - 8a b - 20a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 11 +--R (6a b + 24a b - 28a b - 40a b + 38a b )cos(x) + 6a b +--R + +--R 4 9 6 7 8 5 10 3 12 +--R 30a b - 20a b - 60a b + 30a b + 14a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 10 5 8 7 6 5 +--R (6a b - 12a b + 6a b )cos(x) +--R + +--R 3 10 5 8 7 6 9 4 4 +--R (6a b - 10a b + 2a b + 2a b )cos(x) +--R + +--R 3 10 5 8 7 6 9 4 3 +--R (- 12a b + 4a b + 28a b - 20a b )cos(x) +--R + +--R 3 10 7 6 9 4 11 2 2 +--R (- 12a b + 32a b - 16a b - 4a b )cos(x) +--R + +--R 3 10 5 8 7 6 9 4 11 2 3 10 +--R (6a b + 8a b - 20a b - 8a b + 14a b )cos(x) + 6a b +--R + +--R 5 8 7 6 9 4 11 2 13 +--R 10a b - 20a b - 12a b + 14a b + 2a +--R * +--R sin(x) +--R + +--R 4 9 6 7 8 5 5 4 9 6 7 8 5 4 +--R (2a b - 4a b + 2a b )cos(x) + (2a b - 4a b + 2a b )cos(x) +--R + +--R 4 9 6 7 8 5 10 3 3 +--R (- 4a b + 4a b + 4a b - 4a b )cos(x) +--R + +--R 4 9 6 7 8 5 10 3 2 +--R (- 4a b + 4a b + 4a b - 4a b )cos(x) +--R + +--R 4 9 8 5 12 4 9 8 5 12 +--R (2a b - 4a b + 2a b)cos(x) + 2a b - 4a b + 2a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 10 5 8 7 6 6 +--R (16a b - 32a b + 16a b )sin(x) +--R + +--R 2 11 4 9 6 7 2 +--R (- 16a b + 32a b - 16a b )cos(x) +--R + +--R 2 11 4 9 6 7 2 11 6 7 8 5 +--R (16a b - 32a b + 16a b )cos(x) + 32a b - 96a b + 64a b +--R * +--R 5 +--R sin(x) +--R + +--R 12 3 10 5 8 4 +--R (4a b - 8a b + 4a b )cos(x) +--R + +--R 12 3 10 5 8 3 +--R (- 16a b + 32a b - 16a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 2 +--R (- 24a b - 8a b + 88a b - 56a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 12 3 10 +--R (16a b + 32a b - 112a b + 64a b )cos(x) + 20a b + 80a b +--R + +--R 5 8 7 6 9 4 +--R - 120a b - 80a b + 100a b +--R * +--R 4 +--R sin(x) +--R + +--R 13 2 11 4 9 5 +--R (4b - 8a b + 4a b )cos(x) +--R + +--R 13 2 11 4 9 6 7 4 +--R (4b + 4a b - 20a b + 12a b )cos(x) +--R + +--R 13 2 11 4 9 6 7 3 +--R (- 8b - 40a b + 104a b - 56a b )cos(x) +--R + +--R 13 2 11 4 9 6 7 8 5 2 +--R (- 8b - 64a b + 80a b + 64a b - 72a b )cos(x) +--R + +--R 13 2 11 4 9 6 7 8 5 13 +--R (4b + 48a b - 8a b - 144a b + 100a b )cos(x) + 4b +--R + +--R 2 11 4 9 6 7 8 5 10 3 +--R 60a b + 40a b - 200a b + 20a b + 76a b +--R * +--R 3 +--R sin(x) +--R + +--R 12 3 10 5 8 5 +--R (12a b - 24a b + 12a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 4 +--R (12a b - 12a b - 12a b + 12a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 3 +--R (- 24a b - 24a b + 120a b - 72a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 9 4 2 +--R (- 24a b - 48a b + 128a b - 16a b - 40a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 9 4 12 +--R (12a b + 48a b - 56a b - 80a b + 76a b )cos(x) + 12a b +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R 60a b - 40a b - 120a b + 60a b + 28a b +--R * +--R 2 +--R sin(x) +--R + +--R 2 11 4 9 6 7 5 +--R (12a b - 24a b + 12a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 4 +--R (12a b - 20a b + 4a b + 4a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 3 +--R (- 24a b + 8a b + 56a b - 40a b )cos(x) +--R + +--R 2 11 6 7 8 5 10 3 2 +--R (- 24a b + 64a b - 32a b - 8a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 11 +--R (12a b + 16a b - 40a b - 16a b + 28a b )cos(x) + 12a b +--R + +--R 4 9 6 7 8 5 10 3 12 +--R 20a b - 40a b - 24a b + 28a b + 4a b +--R * +--R sin(x) +--R + +--R 3 10 5 8 7 6 5 3 10 5 8 7 6 4 +--R (4a b - 8a b + 4a b )cos(x) + (4a b - 8a b + 4a b )cos(x) +--R + +--R 3 10 5 8 7 6 9 4 3 +--R (- 8a b + 8a b + 8a b - 8a b )cos(x) +--R + +--R 3 10 5 8 7 6 9 4 2 +--R (- 8a b + 8a b + 8a b - 8a b )cos(x) +--R + +--R 3 10 7 6 11 2 3 10 7 6 11 2 +--R (4a b - 8a b + 4a b )cos(x) + 4a b - 8a b + 4a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 4 9 6 7 8 5 6 +--R (8a b - 16a b + 8a b )sin(x) +--R + +--R 3 10 5 8 7 6 2 3 10 5 8 7 6 +--R (- 8a b + 16a b - 8a b )cos(x) + (8a b - 16a b + 8a b )cos(x) +--R + +--R 3 10 7 6 9 4 +--R 16a b - 48a b + 32a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 11 4 9 6 7 4 2 11 4 9 6 7 3 +--R (2a b - 4a b + 2a b )cos(x) + (- 8a b + 16a b - 8a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 2 +--R (- 12a b - 4a b + 44a b - 28a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 2 11 4 9 6 7 +--R (8a b + 16a b - 56a b + 32a b )cos(x) + 10a b + 40a b - 60a b +--R + +--R 8 5 10 3 +--R - 40a b + 50a b +--R * +--R 4 +--R sin(x) +--R + +--R 12 3 10 5 8 5 +--R (2a b - 4a b + 2a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 4 +--R (2a b + 2a b - 10a b + 6a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 3 +--R (- 4a b - 20a b + 52a b - 28a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 9 4 2 +--R (- 4a b - 32a b + 40a b + 32a b - 36a b )cos(x) +--R + +--R 12 3 10 5 8 7 6 9 4 12 3 10 +--R (2a b + 24a b - 4a b - 72a b + 50a b )cos(x) + 2a b + 30a b +--R + +--R 5 8 7 6 9 4 11 2 +--R 20a b - 100a b + 10a b + 38a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 11 4 9 6 7 5 +--R (6a b - 12a b + 6a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 4 +--R (6a b - 6a b - 6a b + 6a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 3 +--R (- 12a b - 12a b + 60a b - 36a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 +--R (- 12a b - 24a b + 64a b - 8a b - 20a b )cos(x) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 11 4 9 +--R (6a b + 24a b - 28a b - 40a b + 38a b )cos(x) + 6a b + 30a b +--R + +--R 6 7 8 5 10 3 12 +--R - 20a b - 60a b + 30a b + 14a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 10 5 8 7 6 5 +--R (6a b - 12a b + 6a b )cos(x) +--R + +--R 3 10 5 8 7 6 9 4 4 +--R (6a b - 10a b + 2a b + 2a b )cos(x) +--R + +--R 3 10 5 8 7 6 9 4 3 +--R (- 12a b + 4a b + 28a b - 20a b )cos(x) +--R + +--R 3 10 7 6 9 4 11 2 2 +--R (- 12a b + 32a b - 16a b - 4a b )cos(x) +--R + +--R 3 10 5 8 7 6 9 4 11 2 3 10 5 8 +--R (6a b + 8a b - 20a b - 8a b + 14a b )cos(x) + 6a b + 10a b +--R + +--R 7 6 9 4 11 2 13 +--R - 20a b - 12a b + 14a b + 2a +--R * +--R sin(x) +--R + +--R 4 9 6 7 8 5 5 4 9 6 7 8 5 4 +--R (2a b - 4a b + 2a b )cos(x) + (2a b - 4a b + 2a b )cos(x) +--R + +--R 4 9 6 7 8 5 10 3 3 +--R (- 4a b + 4a b + 4a b - 4a b )cos(x) +--R + +--R 4 9 6 7 8 5 10 3 2 4 9 8 5 12 +--R (- 4a b + 4a b + 4a b - 4a b )cos(x) + (2a b - 4a b + 2a b)cos(x) +--R + +--R 4 9 8 5 12 +--R 2a b - 4a b + 2a b +--R Type: Expression Integer +--E 396 + +--S 397 of 532 +m0773b:= a0773.2-r0773 +--R +--R +--R (367) +--R 3 3 3 2 4 2 2 4 4 2 2 +--R 4a b sin(x) + (- 2a b cos(x) + 2a b + 10a b )sin(x) +--R + +--R 3 3 2 3 3 5 4 2 2 4 2 6 +--R (- 4a b cos(x) + 4a b + 8a b)sin(x) - 2a b cos(x) + 2a b + 2a +--R * +--R +---------+ +--R | 2 2 +--R (a sin(x) + b cos(x) + b)\|- b + a +--R atan(-------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(x) + b - a +--R + +--R 3 3 3 2 4 2 2 4 4 2 2 +--R 4a b sin(x) + (- 2a b cos(x) + 2a b + 10a b )sin(x) +--R + +--R 3 3 2 3 3 5 4 2 2 4 2 6 +--R (- 4a b cos(x) + 4a b + 8a b)sin(x) - 2a b cos(x) + 2a b + 2a +--R * +--R x +--R a tan(-) + b +--R 2 +--R atan(------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 4 4 3 +--R (- a b cos(x) - 2a b )sin(x) +--R + +--R 5 2 2 3 4 3 2 5 2 3 2 +--R (b cos(x) - a b cos(x) + (- a b + a b )x - b - 5a b )sin(x) +--R + +--R 4 3 4 2 4 4 3 2 +--R (- a b cos(x) + 2a b cos(x) + a b cos(x) - 2a b - 4a b )sin(x) +--R + +--R 2 3 3 4 3 2 2 3 2 2 3 +--R - a b cos(x) + ((- a b + a b )x + a b )cos(x) + a b cos(x) +--R + +--R 4 3 2 2 3 4 +--R (a b - a b )x - a b - a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 2 6 4 4 3 +--R (4a b - 4a b )sin(x) +--R + +--R 7 3 5 2 7 3 5 5 3 2 +--R ((- 2a b + 2a b )cos(x) + 2a b + 8a b - 10a b )sin(x) +--R + +--R 2 6 4 4 2 2 6 4 4 6 2 +--R ((- 4a b + 4a b )cos(x) + 4a b + 4a b - 8a b )sin(x) +--R + +--R 3 5 5 3 2 3 5 7 +--R (- 2a b + 2a b )cos(x) + 2a b - 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 397 + +--S 398 of 532 +d0773b:= D(m0773b,x) +--R +--R +--R (368) +--R 3 6 8 2 7 2 2 7 2 7 4 5 7 +--R 2a b sin(x) + (a b cos(x) + 4a b cos(x) + 5a b + a b )sin(x) +--R + +--R 8 3 8 3 6 2 +--R 2a b cos(x) + (2a b + 14a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 8 3 6 5 4 +--R ((2a b - 2a b )x + 2a b + 22a b )cos(x) + 2a b + 14a b - 10a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 7 3 8 3 6 2 7 4 5 2 +--R 10a b cos(x) + ((4a b - 4a b )x + 14a b + 27a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 2 7 +--R ((4a b + 4a b - 8a b )x + 6a b + 54a b )cos(x) + 2a b +--R + +--R 4 5 6 3 +--R 33a b - 21a b +--R * +--R 5 +--R sin(x) +--R + +--R 8 5 8 3 6 4 +--R 2a b cos(x) + (2a b + 14a b )cos(x) +--R + +--R 2 7 4 5 3 6 3 +--R ((2a b - 2a b )x + 12a b )cos(x) +--R + +--R 2 7 4 5 3 6 5 4 2 +--R ((20a b - 20a b )x - 4a b + 16a b )cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 +--R ((18a b - 14a b - 4a b )x - 2a b + 12a b + 70a b )cos(x) +--R + +--R 8 3 6 5 4 7 2 +--R - 2a b + 14a b + 56a b - 18a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 7 6 2 7 5 2 7 4 5 4 +--R - 2a b cos(x) + 16a b cos(x) + (24a b + 30a b )cos(x) +--R + +--R 3 6 5 4 2 7 4 5 3 +--R ((16a b - 16a b )x - 16a b + 4a b )cos(x) +--R + +--R 3 6 5 4 2 7 4 5 6 3 2 +--R ((24a b - 24a b )x - 26a b - 44a b - 7a b )cos(x) +--R + +--R 3 6 5 4 4 5 6 3 2 7 4 5 +--R ((8a b - 8a b )x + 12a b + 48a b )cos(x) + 4a b + 30a b +--R + +--R 6 3 8 +--R 55a b - 7a b +--R * +--R 3 +--R sin(x) +--R + +--R 8 7 8 3 6 6 +--R - 2a b cos(x) + (- 2a b + a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 5 +--R ((- 2a b + 2a b )x + 6a b + 30a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 5 4 4 +--R ((16a b - 16a b )x + 6a b + 33a b + 27a b )cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 3 +--R ((20a b - 12a b - 8a b )x - 6a b - 36a b + 4a b )cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 +--R (- 16a b + 24a b - 8a b )x - 6a b - 45a b - 46a b +--R + +--R 7 2 +--R - 15a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 7 4 5 8 3 6 7 2 8 +--R ((- 18a b + 18a b )x + 2a b + 6a b + 16a b )cos(x) + 2a b +--R + +--R 3 6 5 4 7 2 9 +--R 11a b + 23a b + 31a b - a +--R * +--R 2 +--R sin(x) +--R + +--R 2 7 8 2 7 7 +--R - a b cos(x) - 4a b cos(x) +--R + +--R 8 3 6 4 5 6 +--R ((- 4a b + 4a b )x + 4a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 5 +--R ((- 4a b + 12a b - 8a b )x + 12a b + 20a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 4 +--R ((8a b + 16a b - 24a b )x + 6a b + 14a b + 14a b )cos(x) +--R + +--R 8 5 4 2 7 4 5 6 3 3 +--R ((8a b - 8a b )x - 12a b - 24a b + 6a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 8 +--R ((- 4a b - 20a b + 24a b )x - 8a b - 24a b - 22a b - 7a b) +--R * +--R 2 +--R cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 8 +--R ((- 4a b - 12a b + 16a b )x + 4a b + 4a b - 6a b + 2a b) +--R * +--R cos(x) +--R + +--R 2 7 4 5 6 3 8 +--R 3a b + 6a b + 8a b + 9a b +--R * +--R sin(x) +--R + +--R 3 6 8 2 7 4 5 3 6 7 +--R - a b cos(x) + ((- 2a b + 2a b )x - 2a b )cos(x) +--R + +--R 2 7 4 5 3 6 5 4 6 +--R ((- 4a b + 4a b )x + 2a b + a b )cos(x) +--R + +--R 2 7 4 5 6 3 3 6 5 4 5 +--R ((2a b + 2a b - 4a b )x + 6a b + 4a b )cos(x) +--R + +--R 2 7 6 3 5 4 7 2 4 +--R ((8a b - 8a b )x + 3a b + 3a b )cos(x) +--R + +--R 2 7 4 5 3 6 5 4 7 2 3 +--R ((2a b - 2a b )x - 6a b - 4a b + 2a b )cos(x) +--R + +--R 2 7 4 5 6 3 3 6 5 4 7 2 9 2 +--R ((- 4a b - 4a b + 8a b )x - 2a b - 5a b - 4a b - a )cos(x) +--R + +--R 2 7 4 5 6 3 3 6 7 2 3 6 5 4 +--R ((- 2a b - 2a b + 4a b )x + 2a b - 2a b )cos(x) + a b + a b +--R + +--R 7 2 9 +--R a b + a +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 7 8 8 2 8 8 3 6 7 +--R 4a b sin(x) + (2a b cos(x) + 8a b cos(x) + 10a b - 6a b )sin(x) +--R + +--R 9 3 9 2 7 2 +--R 4b cos(x) + (4b + 36a b )cos(x) +--R + +--R 8 3 6 9 2 7 9 2 7 4 5 +--R ((4a b - 4a b )x + 4b + 28a b )cos(x) + 4b + 4a b - 52a b +--R * +--R 6 +--R sin(x) +--R + +--R 8 4 8 3 +--R - 2a b cos(x) + 36a b cos(x) +--R + +--R 9 2 7 8 3 6 2 +--R ((8b - 8a b )x + 48a b + 74a b )cos(x) +--R + +--R 9 2 7 4 5 8 3 6 8 +--R ((8b + 8a b - 16a b )x - 4a b + 28a b )cos(x) - 14a b +--R + +--R 3 6 5 4 +--R - 34a b - 92a b +--R * +--R 5 +--R sin(x) +--R + +--R 2 7 4 8 3 6 9 2 7 3 +--R 30a b cos(x) + ((4a b - 4a b )x + 8b + 96a b )cos(x) +--R + +--R 8 3 6 9 2 7 4 5 2 +--R ((40a b - 40a b )x + 8b + 60a b + 36a b )cos(x) +--R + +--R 8 3 6 5 4 9 2 7 4 5 9 +--R ((36a b - 28a b - 8a b )x - 8b - 48a b - 24a b )cos(x) - 8b +--R + +--R 2 7 4 5 6 3 +--R - 42a b - 56a b - 74a b +--R * +--R 4 +--R sin(x) +--R + +--R 8 6 8 5 8 3 6 4 +--R - 6a b cos(x) + 16a b cos(x) + (38a b + 82a b )cos(x) +--R + +--R 2 7 4 5 3 6 3 +--R ((32a b - 32a b )x + 136a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 5 4 2 +--R ((48a b - 48a b )x - 26a b - 4a b - 44a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 5 4 8 +--R ((16a b - 16a b )x - 16a b - 104a b - 80a b )cos(x) - 6a b +--R + +--R 3 6 5 4 7 2 +--R - 46a b - 36a b - 28a b +--R * +--R 3 +--R sin(x) +--R + +--R 9 7 9 2 7 6 +--R - 4b cos(x) + (- 4b - 4a b )cos(x) +--R + +--R 8 3 6 9 2 7 5 +--R ((- 4a b + 4a b )x + 12b + 36a b )cos(x) +--R + +--R 8 3 6 9 2 7 4 5 4 +--R ((32a b - 32a b )x + 12b + 60a b + 88a b )cos(x) +--R + +--R 8 3 6 5 4 9 2 7 4 5 3 +--R ((40a b - 24a b - 16a b )x - 12b - 24a b + 120a b )cos(x) +--R + +--R 8 3 6 5 4 9 2 7 4 5 +--R (- 32a b + 48a b - 16a b )x - 12b - 60a b - 48a b +--R + +--R 6 3 +--R - 64a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 3 6 9 2 7 4 5 6 3 +--R ((- 36a b + 36a b )x + 4b - 12a b - 112a b - 72a b )cos(x) +--R + +--R 9 2 7 4 5 6 3 8 +--R 4b + 4a b - 32a b - 8a b - 4a b +--R * +--R 2 +--R sin(x) +--R + +--R 8 8 8 7 9 2 7 3 6 6 +--R - 2a b cos(x) - 8a b cos(x) + ((- 8b + 8a b )x + 2a b )cos(x) +--R + +--R 9 2 7 4 5 8 3 6 5 +--R ((- 8b + 24a b - 16a b )x + 24a b + 24a b )cos(x) +--R + +--R 9 2 7 4 5 8 3 6 5 4 4 +--R ((16b + 32a b - 48a b )x + 12a b + 30a b + 48a b )cos(x) +--R + +--R 9 4 5 8 3 6 5 4 3 +--R ((16b - 16a b )x - 24a b - 16a b + 60a b )cos(x) +--R + +--R 9 2 7 4 5 8 3 6 5 4 +--R (- 8b - 40a b + 48a b )x - 16a b - 34a b - 36a b +--R + +--R 7 2 +--R - 28a b +--R * +--R 2 +--R cos(x) +--R + +--R 9 2 7 4 5 8 3 6 5 4 7 2 +--R ((- 8b - 24a b + 32a b )x + 8a b - 8a b - 60a b - 28a b ) +--R * +--R cos(x) +--R + +--R 8 3 6 5 4 +--R 6a b + 2a b - 12a b +--R * +--R sin(x) +--R + +--R 2 7 8 8 3 6 2 7 7 +--R - 2a b cos(x) + ((- 4a b + 4a b )x - 4a b )cos(x) +--R + +--R 8 3 6 2 7 6 +--R ((- 8a b + 8a b )x + 4a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 5 +--R ((4a b + 4a b - 8a b )x + 12a b + 4a b )cos(x) +--R + +--R 8 5 4 4 5 6 3 4 +--R ((16a b - 16a b )x + 8a b + 10a b )cos(x) +--R + +--R 8 3 6 2 7 6 3 3 +--R ((4a b - 4a b )x - 12a b + 12a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 8 2 +--R ((- 8a b - 8a b + 16a b )x - 4a b - 8a b - 8a b - 4a b)cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 8 +--R ((- 4a b - 4a b + 8a b )x + 4a b - 4a b - 12a b - 4a b)cos(x) +--R + +--R 2 7 6 3 +--R 2a b - 2a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 3 6 8 2 7 2 2 7 2 7 4 5 7 +--R 2a b sin(x) + (a b cos(x) + 4a b cos(x) + 5a b + a b )sin(x) +--R + +--R 8 3 8 3 6 2 +--R 2a b cos(x) + (2a b + 14a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 8 3 6 5 4 +--R ((2a b - 2a b )x + 2a b + 22a b )cos(x) + 2a b + 14a b - 10a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 7 3 8 3 6 2 7 4 5 2 +--R 10a b cos(x) + ((4a b - 4a b )x + 14a b + 27a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 2 7 4 5 +--R ((4a b + 4a b - 8a b )x + 6a b + 54a b )cos(x) + 2a b + 33a b +--R + +--R 6 3 +--R - 21a b +--R * +--R 5 +--R sin(x) +--R + +--R 8 5 8 3 6 4 +--R 2a b cos(x) + (2a b + 14a b )cos(x) +--R + +--R 2 7 4 5 3 6 3 +--R ((2a b - 2a b )x + 12a b )cos(x) +--R + +--R 2 7 4 5 3 6 5 4 2 +--R ((20a b - 20a b )x - 4a b + 16a b )cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 8 +--R ((18a b - 14a b - 4a b )x - 2a b + 12a b + 70a b )cos(x) - 2a b +--R + +--R 3 6 5 4 7 2 +--R 14a b + 56a b - 18a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 7 6 2 7 5 2 7 4 5 4 +--R - 2a b cos(x) + 16a b cos(x) + (24a b + 30a b )cos(x) +--R + +--R 3 6 5 4 2 7 4 5 3 +--R ((16a b - 16a b )x - 16a b + 4a b )cos(x) +--R + +--R 3 6 5 4 2 7 4 5 6 3 2 +--R ((24a b - 24a b )x - 26a b - 44a b - 7a b )cos(x) +--R + +--R 3 6 5 4 4 5 6 3 2 7 4 5 6 3 +--R ((8a b - 8a b )x + 12a b + 48a b )cos(x) + 4a b + 30a b + 55a b +--R + +--R 8 +--R - 7a b +--R * +--R 3 +--R sin(x) +--R + +--R 8 7 8 3 6 6 +--R - 2a b cos(x) + (- 2a b + a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 5 +--R ((- 2a b + 2a b )x + 6a b + 30a b )cos(x) +--R + +--R 2 7 4 5 8 3 6 5 4 4 +--R ((16a b - 16a b )x + 6a b + 33a b + 27a b )cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 3 +--R ((20a b - 12a b - 8a b )x - 6a b - 36a b + 4a b )cos(x) +--R + +--R 2 7 4 5 6 3 8 3 6 5 4 7 2 +--R ((- 16a b + 24a b - 8a b )x - 6a b - 45a b - 46a b - 15a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 7 4 5 8 3 6 7 2 8 +--R ((- 18a b + 18a b )x + 2a b + 6a b + 16a b )cos(x) + 2a b +--R + +--R 3 6 5 4 7 2 9 +--R 11a b + 23a b + 31a b - a +--R * +--R 2 +--R sin(x) +--R + +--R 2 7 8 2 7 7 8 3 6 4 5 6 +--R - a b cos(x) - 4a b cos(x) + ((- 4a b + 4a b )x + 4a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 5 +--R ((- 4a b + 12a b - 8a b )x + 12a b + 20a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 4 +--R ((8a b + 16a b - 24a b )x + 6a b + 14a b + 14a b )cos(x) +--R + +--R 8 5 4 2 7 4 5 6 3 3 +--R ((8a b - 8a b )x - 12a b - 24a b + 6a b )cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 8 +--R ((- 4a b - 20a b + 24a b )x - 8a b - 24a b - 22a b - 7a b) +--R * +--R 2 +--R cos(x) +--R + +--R 8 3 6 5 4 2 7 4 5 6 3 8 +--R ((- 4a b - 12a b + 16a b )x + 4a b + 4a b - 6a b + 2a b)cos(x) +--R + +--R 2 7 4 5 6 3 8 +--R 3a b + 6a b + 8a b + 9a b +--R * +--R sin(x) +--R + +--R 3 6 8 2 7 4 5 3 6 7 +--R - a b cos(x) + ((- 2a b + 2a b )x - 2a b )cos(x) +--R + +--R 2 7 4 5 3 6 5 4 6 +--R ((- 4a b + 4a b )x + 2a b + a b )cos(x) +--R + +--R 2 7 4 5 6 3 3 6 5 4 5 +--R ((2a b + 2a b - 4a b )x + 6a b + 4a b )cos(x) +--R + +--R 2 7 6 3 5 4 7 2 4 +--R ((8a b - 8a b )x + 3a b + 3a b )cos(x) +--R + +--R 2 7 4 5 3 6 5 4 7 2 3 +--R ((2a b - 2a b )x - 6a b - 4a b + 2a b )cos(x) +--R + +--R 2 7 4 5 6 3 3 6 5 4 7 2 9 2 +--R ((- 4a b - 4a b + 8a b )x - 2a b - 5a b - 4a b - a )cos(x) +--R + +--R 2 7 4 5 6 3 3 6 7 2 3 6 5 4 7 2 +--R ((- 2a b - 2a b + 4a b )x + 2a b - 2a b )cos(x) + a b + a b + a b +--R + +--R 9 +--R a +--R / +--R 4 8 6 6 7 +--R (8a b - 8a b )sin(x) +--R + +--R 3 9 5 7 2 3 9 5 7 3 9 +--R (- 8a b + 8a b )cos(x) + (16a b - 16a b )cos(x) + 24a b +--R + +--R 5 7 7 5 +--R 8a b - 32a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 10 4 8 4 2 10 4 8 3 +--R (2a b - 2a b )cos(x) + (- 16a b + 16a b )cos(x) +--R + +--R 2 10 6 6 2 2 10 4 8 6 6 +--R (- 20a b + 20a b )cos(x) + (16a b + 64a b - 80a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 +--R 18a b + 82a b - 50a b - 50a b +--R * +--R 5 +--R sin(x) +--R + +--R 11 3 9 5 11 3 9 5 7 4 +--R (4a b - 4a b )cos(x) + (4a b - 6a b + 2a b )cos(x) +--R + +--R 11 3 9 5 7 3 +--R (- 8a b - 64a b + 72a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 2 +--R (- 8a b - 60a b + 64a b + 4a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 11 3 9 +--R (4a b + 68a b + 92a b - 164a b )cos(x) + 4a b + 66a b +--R + +--R 5 7 7 5 9 3 +--R 98a b - 130a b - 38a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 10 4 8 6 2 10 4 8 5 +--R (2a b - 2a b )cos(x) + (16a b - 16a b )cos(x) +--R + +--R 2 10 4 8 6 6 4 +--R (10a b - 32a b + 22a b )cos(x) +--R + +--R 2 10 4 8 6 6 3 +--R (- 32a b - 96a b + 128a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 2 +--R (- 26a b - 58a b + 114a b - 30a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 2 10 4 8 +--R (16a b + 112a b + 48a b - 176a b )cos(x) + 14a b + 92a b +--R + +--R 6 6 8 4 10 2 +--R 40a b - 132a b - 14a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 9 5 7 6 3 9 5 7 5 +--R (6a b - 6a b )cos(x) + (24a b - 24a b )cos(x) +--R + +--R 3 9 5 7 7 5 4 +--R (6a b - 40a b + 34a b )cos(x) +--R + +--R 3 9 5 7 7 5 3 +--R (- 48a b - 64a b + 112a b )cos(x) +--R + +--R 3 9 5 7 7 5 9 3 2 +--R (- 30a b - 14a b + 78a b - 34a b )cos(x) +--R + +--R 3 9 5 7 7 5 9 3 3 9 5 7 +--R (24a b + 88a b - 8a b - 104a b )cos(x) + 18a b + 60a b +--R + +--R 7 5 9 3 11 +--R - 8a b - 68a b - 2a b +--R * +--R 2 +--R sin(x) +--R + +--R 4 8 6 6 6 4 8 6 6 5 +--R (6a b - 6a b )cos(x) + (16a b - 16a b )cos(x) +--R + +--R 4 8 6 6 8 4 4 +--R (- 2a b - 18a b + 20a b )cos(x) +--R + +--R 4 8 6 6 8 4 3 +--R (- 32a b - 16a b + 48a b )cos(x) +--R + +--R 4 8 6 6 8 4 10 2 2 +--R (- 14a b + 6a b + 22a b - 14a b )cos(x) +--R + +--R 4 8 6 6 8 4 10 2 4 8 6 6 +--R (16a b + 32a b - 16a b - 32a b )cos(x) + 10a b + 18a b +--R + +--R 8 4 10 2 +--R - 10a b - 18a b +--R * +--R sin(x) +--R + +--R 5 7 7 5 6 5 7 7 5 5 +--R (2a b - 2a b )cos(x) + (4a b - 4a b )cos(x) +--R + +--R 5 7 7 5 9 3 4 5 7 9 3 3 +--R (- 2a b - 2a b + 4a b )cos(x) + (- 8a b + 8a b )cos(x) +--R + +--R 5 7 7 5 9 3 11 2 +--R (- 2a b + 2a b + 2a b - 2a b)cos(x) +--R + +--R 5 7 7 5 9 3 11 5 7 7 5 9 3 11 +--R (4a b + 4a b - 4a b - 4a b)cos(x) + 2a b + 2a b - 2a b - 2a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 9 5 7 7 +--R (16a b - 16a b )sin(x) +--R + +--R 2 10 4 8 2 2 10 4 8 2 10 +--R (- 16a b + 16a b )cos(x) + (32a b - 32a b )cos(x) + 48a b +--R + +--R 4 8 6 6 +--R 16a b - 64a b +--R * +--R 6 +--R sin(x) +--R + +--R 11 3 9 4 11 3 9 3 +--R (4a b - 4a b )cos(x) + (- 32a b + 32a b )cos(x) +--R + +--R 11 5 7 2 11 3 9 5 7 +--R (- 40a b + 40a b )cos(x) + (32a b + 128a b - 160a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 +--R 36a b + 164a b - 100a b - 100a b +--R * +--R 5 +--R sin(x) +--R + +--R 12 2 10 5 12 2 10 4 8 4 +--R (8b - 8a b )cos(x) + (8b - 12a b + 4a b )cos(x) +--R + +--R 12 2 10 4 8 3 +--R (- 16b - 128a b + 144a b )cos(x) +--R + +--R 12 2 10 4 8 6 6 2 +--R (- 16b - 120a b + 128a b + 8a b )cos(x) +--R + +--R 12 2 10 4 8 6 6 12 2 10 +--R (8b + 136a b + 184a b - 328a b )cos(x) + 8b + 132a b +--R + +--R 4 8 6 6 8 4 +--R 196a b - 260a b - 76a b +--R * +--R 4 +--R sin(x) +--R + +--R 11 3 9 6 11 3 9 5 +--R (4a b - 4a b )cos(x) + (32a b - 32a b )cos(x) +--R + +--R 11 3 9 5 7 4 +--R (20a b - 64a b + 44a b )cos(x) +--R + +--R 11 3 9 5 7 3 +--R (- 64a b - 192a b + 256a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 2 +--R (- 52a b - 116a b + 228a b - 60a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 11 3 9 +--R (32a b + 224a b + 96a b - 352a b )cos(x) + 28a b + 184a b +--R + +--R 5 7 7 5 9 3 +--R 80a b - 264a b - 28a b +--R * +--R 3 +--R sin(x) +--R + +--R 2 10 4 8 6 2 10 4 8 5 +--R (12a b - 12a b )cos(x) + (48a b - 48a b )cos(x) +--R + +--R 2 10 4 8 6 6 4 +--R (12a b - 80a b + 68a b )cos(x) +--R + +--R 2 10 4 8 6 6 3 +--R (- 96a b - 128a b + 224a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 2 +--R (- 60a b - 28a b + 156a b - 68a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 2 10 4 8 +--R (48a b + 176a b - 16a b - 208a b )cos(x) + 36a b + 120a b +--R + +--R 6 6 8 4 10 2 +--R - 16a b - 136a b - 4a b +--R * +--R 2 +--R sin(x) +--R + +--R 3 9 5 7 6 3 9 5 7 5 +--R (12a b - 12a b )cos(x) + (32a b - 32a b )cos(x) +--R + +--R 3 9 5 7 7 5 4 +--R (- 4a b - 36a b + 40a b )cos(x) +--R + +--R 3 9 5 7 7 5 3 +--R (- 64a b - 32a b + 96a b )cos(x) +--R + +--R 3 9 5 7 7 5 9 3 2 +--R (- 28a b + 12a b + 44a b - 28a b )cos(x) +--R + +--R 3 9 5 7 7 5 9 3 3 9 5 7 +--R (32a b + 64a b - 32a b - 64a b )cos(x) + 20a b + 36a b +--R + +--R 7 5 9 3 +--R - 20a b - 36a b +--R * +--R sin(x) +--R + +--R 4 8 6 6 6 4 8 6 6 5 +--R (4a b - 4a b )cos(x) + (8a b - 8a b )cos(x) +--R + +--R 4 8 6 6 8 4 4 4 8 8 4 3 +--R (- 4a b - 4a b + 8a b )cos(x) + (- 16a b + 16a b )cos(x) +--R + +--R 4 8 6 6 8 4 10 2 2 +--R (- 4a b + 4a b + 4a b - 4a b )cos(x) +--R + +--R 4 8 6 6 8 4 10 2 4 8 6 6 8 4 10 2 +--R (8a b + 8a b - 8a b - 8a b )cos(x) + 4a b + 4a b - 4a b - 4a b +--R * +--R x +--R tan(-) +--R 2 +--R + +--R 4 8 6 6 7 +--R (8a b - 8a b )sin(x) +--R + +--R 3 9 5 7 2 3 9 5 7 3 9 5 7 +--R (- 8a b + 8a b )cos(x) + (16a b - 16a b )cos(x) + 24a b + 8a b +--R + +--R 7 5 +--R - 32a b +--R * +--R 6 +--R sin(x) +--R + +--R 2 10 4 8 4 2 10 4 8 3 +--R (2a b - 2a b )cos(x) + (- 16a b + 16a b )cos(x) +--R + +--R 2 10 6 6 2 2 10 4 8 6 6 +--R (- 20a b + 20a b )cos(x) + (16a b + 64a b - 80a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 +--R 18a b + 82a b - 50a b - 50a b +--R * +--R 5 +--R sin(x) +--R + +--R 11 3 9 5 11 3 9 5 7 4 +--R (4a b - 4a b )cos(x) + (4a b - 6a b + 2a b )cos(x) +--R + +--R 11 3 9 5 7 3 +--R (- 8a b - 64a b + 72a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 2 +--R (- 8a b - 60a b + 64a b + 4a b )cos(x) +--R + +--R 11 3 9 5 7 7 5 11 3 9 5 7 +--R (4a b + 68a b + 92a b - 164a b )cos(x) + 4a b + 66a b + 98a b +--R + +--R 7 5 9 3 +--R - 130a b - 38a b +--R * +--R 4 +--R sin(x) +--R + +--R 2 10 4 8 6 2 10 4 8 5 +--R (2a b - 2a b )cos(x) + (16a b - 16a b )cos(x) +--R + +--R 2 10 4 8 6 6 4 +--R (10a b - 32a b + 22a b )cos(x) +--R + +--R 2 10 4 8 6 6 3 +--R (- 32a b - 96a b + 128a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 2 +--R (- 26a b - 58a b + 114a b - 30a b )cos(x) +--R + +--R 2 10 4 8 6 6 8 4 2 10 4 8 +--R (16a b + 112a b + 48a b - 176a b )cos(x) + 14a b + 92a b +--R + +--R 6 6 8 4 10 2 +--R 40a b - 132a b - 14a b +--R * +--R 3 +--R sin(x) +--R + +--R 3 9 5 7 6 3 9 5 7 5 +--R (6a b - 6a b )cos(x) + (24a b - 24a b )cos(x) +--R + +--R 3 9 5 7 7 5 4 +--R (6a b - 40a b + 34a b )cos(x) +--R + +--R 3 9 5 7 7 5 3 +--R (- 48a b - 64a b + 112a b )cos(x) +--R + +--R 3 9 5 7 7 5 9 3 2 +--R (- 30a b - 14a b + 78a b - 34a b )cos(x) +--R + +--R 3 9 5 7 7 5 9 3 3 9 5 7 7 5 +--R (24a b + 88a b - 8a b - 104a b )cos(x) + 18a b + 60a b - 8a b +--R + +--R 9 3 11 +--R - 68a b - 2a b +--R * +--R 2 +--R sin(x) +--R + +--R 4 8 6 6 6 4 8 6 6 5 +--R (6a b - 6a b )cos(x) + (16a b - 16a b )cos(x) +--R + +--R 4 8 6 6 8 4 4 +--R (- 2a b - 18a b + 20a b )cos(x) +--R + +--R 4 8 6 6 8 4 3 +--R (- 32a b - 16a b + 48a b )cos(x) +--R + +--R 4 8 6 6 8 4 10 2 2 +--R (- 14a b + 6a b + 22a b - 14a b )cos(x) +--R + +--R 4 8 6 6 8 4 10 2 4 8 6 6 8 4 +--R (16a b + 32a b - 16a b - 32a b )cos(x) + 10a b + 18a b - 10a b +--R + +--R 10 2 +--R - 18a b +--R * +--R sin(x) +--R + +--R 5 7 7 5 6 5 7 7 5 5 +--R (2a b - 2a b )cos(x) + (4a b - 4a b )cos(x) +--R + +--R 5 7 7 5 9 3 4 5 7 9 3 3 +--R (- 2a b - 2a b + 4a b )cos(x) + (- 8a b + 8a b )cos(x) +--R + +--R 5 7 7 5 9 3 11 2 +--R (- 2a b + 2a b + 2a b - 2a b)cos(x) +--R + +--R 5 7 7 5 9 3 11 5 7 7 5 9 3 11 +--R (4a b + 4a b - 4a b - 4a b)cos(x) + 2a b + 2a b - 2a b - 2a b +--R Type: Expression Integer +--E 398 + +--S 399 of 532 +t0774:= x*sin(x)/(a+b*cos(x))^2 +--R +--R +--R x sin(x) +--R (369) ---------------------------- +--R 2 2 2 +--R b cos(x) + 2a b cos(x) + a +--R Type: Expression Integer +--E 399 + +--S 400 of 532 +r0774:= -2*atan((a-b)*tan(1/2*x)/(a^2-b^2)^(1/2))/b/(a^2-b^2)^(1/2)+x/b/(a+b*cos(x)) +--R +--R +--R x +--R (b - a)tan(-) +---------+ +--R 2 | 2 2 +--R (2b cos(x) + 2a)atan(-------------) + x\|- b + a +--R +---------+ +--R | 2 2 +--R \|- b + a +--R (370) --------------------------------------------------- +--R +---------+ +--R 2 | 2 2 +--R (b cos(x) + a b)\|- b + a +--R Type: Expression Integer +--E 400 + +--S 401 of 532 +a0774:= integrate(t0774,x) +--R +--R +--R (371) +--R [ +--R +-------+ +--R | 2 2 2 2 +--R (- a cos(x) - b)\|b - a + (b - a )sin(x) +--R (b cos(x) + a)log(--------------------------------------------) +--R b cos(x) + a +--R + +--R +-------+ +--R | 2 2 +--R x\|b - a +--R / +--R +-------+ +--R 2 | 2 2 +--R (b cos(x) + a b)\|b - a +--R , +--R +---------+ +--R | 2 2 +---------+ +--R sin(x)\|- b + a | 2 2 +--R (- 2b cos(x) - 2a)atan(---------------------) + x\|- b + a +--R (b + a)cos(x) + b + a +--R -------------------------------------------------------------] +--R +---------+ +--R 2 | 2 2 +--R (b cos(x) + a b)\|- b + a +--R Type: Union(List Expression Integer,...) +--E 401 + +--S 402 of 532 +m0774a:= a0774.1-r0774 +--R +--R +--R (372) +--R +-------+ +--R +---------+ | 2 2 2 2 +--R | 2 2 (- a cos(x) - b)\|b - a + (b - a )sin(x) +--R \|- b + a log(--------------------------------------------) +--R b cos(x) + a +--R + +--R x +--R +-------+ (b - a)tan(-) +--R | 2 2 2 +--R - 2\|b - a atan(-------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R b\|- b + a \|b - a +--R Type: Expression Integer +--E 402 + +--S 403 of 532 +d0774a:= D(m0774a,x) +--R +--R +--R (373) +--R 2 2 x 2 +--R ((- b + a)sin(x) - b cos(x) + (- b - a)cos(x) - a)tan(-) +--R 2 +--R + +--R 2 2 +--R (b + a)sin(x) + b cos(x) + (- b + a)cos(x) - a +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 2 2 2 2 x 2 +--R ((b - a )cos(x) + b - a )sin(x)tan(-) +--R 2 +--R + +--R 2 2 2 2 +--R ((b - a )cos(x) - b + a )sin(x) +--R / +--R 2 2 2 3 2 2 3 2 2 +--R ((a b - a b)cos(x) + (b - a b + a b - a )cos(x) + a b - a b) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 2 3 2 2 3 2 2 +--R (- a b - a b)cos(x) + (- b - a b - a b - a )cos(x) - a b - a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 4 3 2 2 3 3 2 2 3 4 x 2 +--R ((- b + a b + a b - a b)cos(x) - a b + a b + a b - a )sin(x)tan(-) +--R 2 +--R + +--R 4 3 2 2 3 3 2 2 3 4 +--R ((b + a b - a b - a b)cos(x) + a b + a b - a b - a )sin(x) +--R Type: Expression Integer +--E 403 + +--S 404 of 532 +m0774b:= a0774.2-r0774 +--R +--R +--R +---------+ x +--R | 2 2 (b - a)tan(-) +--R sin(x)\|- b + a 2 +--R - 2atan(---------------------) - 2atan(-------------) +--R (b + a)cos(x) + b + a +---------+ +--R | 2 2 +--R \|- b + a +--R (374) ----------------------------------------------------- +--R +---------+ +--R | 2 2 +--R b\|- b + a +--R Type: Expression Integer +--E 404 + +--S 405 of 532 +d0774b:= D(m0774b,x) +--R +--R +--R (375) +--R 2 2 x 2 +--R ((b - a)sin(x) + (3b - a)cos(x) + 4b cos(x) + b + a)tan(-) +--R 2 +--R + +--R 2 2 +--R (- 3b - a)sin(x) + (- b - a)cos(x) + b + a +--R / +--R 3 2 2 2 3 2 2 +--R (b - 2a b + a b)sin(x) + (- b + a b)cos(x) +--R + +--R 3 2 3 2 +--R (- 2b + 2a b)cos(x) - b + a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 3 2 2 3 2 2 2 +--R (- b + a b)sin(x) + (b + 2a b + a b)cos(x) +--R + +--R 3 2 2 3 2 2 +--R (2b + 4a b + 2a b)cos(x) + b + 2a b + a b +--R Type: Expression Integer +--E 405 + +--S 406 of 532 +t0775:= x*sin(x)/(a+b*cos(x))^3 +--R +--R +--R x sin(x) +--R (376) ------------------------------------------- +--R 3 3 2 2 2 3 +--R b cos(x) + 3a b cos(x) + 3a b cos(x) + a +--R Type: Expression Integer +--E 406 + +--S 407 of 532 +r0775:= -a*atan((a-b)*tan(1/2*x)/(a^2-b^2)^(1/2))/b/(a^2-b^2)^(3/2)+1/2*x/b/(a+b*cos(x))^2+1/2*sin(x)/(a^2-b^2)/(a+b*cos(x)) +--R +--R +--R (377) +--R x +--R (b - a)tan(-) +--R 2 2 2 3 2 +--R (- 2a b cos(x) - 4a b cos(x) - 2a )atan(-------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R 2 2 2 | 2 2 +--R ((- b cos(x) - a b)sin(x) + (b - a )x)\|- b + a +--R / +--R +---------+ +--R 5 2 3 2 4 3 2 2 3 4 | 2 2 +--R ((2b - 2a b )cos(x) + (4a b - 4a b )cos(x) + 2a b - 2a b)\|- b + a +--R Type: Expression Integer +--E 407 + +--S 408 of 532 +a0775:= integrate(t0775,x) +--R +--R +--R (378) +--R [ +--R 2 2 2 3 +--R (a b cos(x) + 2a b cos(x) + a ) +--R * +--R +-------+ +--R | 2 2 2 2 +--R (- a cos(x) - b)\|b - a + (- b + a )sin(x) +--R log(----------------------------------------------) +--R b cos(x) + a +--R + +--R +-------+ +--R 2 2 2 | 2 2 +--R ((- b cos(x) - a b)sin(x) + (b - a )x)\|b - a +--R / +--R +-------+ +--R 5 2 3 2 4 3 2 2 3 4 | 2 2 +--R ((2b - 2a b )cos(x) + (4a b - 4a b )cos(x) + 2a b - 2a b)\|b - a +--R , +--R +--R +---------+ +--R | 2 2 +--R 2 2 2 3 sin(x)\|- b + a +--R (2a b cos(x) + 4a b cos(x) + 2a )atan(---------------------) +--R (b + a)cos(x) + b + a +--R + +--R +---------+ +--R 2 2 2 | 2 2 +--R ((- b cos(x) - a b)sin(x) + (b - a )x)\|- b + a +--R / +--R +---------+ +--R 5 2 3 2 4 3 2 2 3 4 | 2 2 +--R ((2b - 2a b )cos(x) + (4a b - 4a b )cos(x) + 2a b - 2a b)\|- b + a +--R ] +--R Type: Union(List Expression Integer,...) +--E 408 + +--S 409 of 532 +m0775a:= a0775.1-r0775 +--R +--R +--R (379) +--R +-------+ +--R +---------+ | 2 2 2 2 +--R | 2 2 (- a cos(x) - b)\|b - a + (- b + a )sin(x) +--R a\|- b + a log(----------------------------------------------) +--R b cos(x) + a +--R + +--R x +--R +-------+ (b - a)tan(-) +--R | 2 2 2 +--R 2a\|b - a atan(-------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +-------+ +--R 3 2 | 2 2 | 2 2 +--R (2b - 2a b)\|- b + a \|b - a +--R Type: Expression Integer +--E 409 + +--S 410 of 532 +d0775a:= D(m0775a,x) +--R +--R +--R (380) +--R 2 2 2 2 2 x 2 +--R ((a b - a )sin(x) + a b cos(x) + (a b + a )cos(x) + a )tan(-) +--R 2 +--R + +--R 2 2 2 2 2 +--R (- a b - a )sin(x) - a b cos(x) + (a b - a )cos(x) + a +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 2 3 2 3 x 2 +--R ((a b - a )cos(x) + a b - a )sin(x)tan(-) +--R 2 +--R + +--R 2 3 2 3 +--R ((a b - a )cos(x) - a b + a )sin(x) +--R / +--R 4 2 3 3 2 4 2 +--R (2a b - 2a b - 2a b + 2a b)cos(x) +--R + +--R 5 4 4 5 4 2 3 3 2 4 +--R (2b - 2a b - 2a b + 2a )cos(x) + 2a b - 2a b - 2a b + 2a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 4 2 3 3 2 4 2 +--R (- 2a b - 2a b + 2a b + 2a b)cos(x) +--R + +--R 5 4 4 5 4 2 3 3 2 4 +--R (- 2b - 2a b + 2a b + 2a )cos(x) - 2a b - 2a b + 2a b + 2a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R + +--R 6 5 2 4 3 3 4 2 5 5 2 4 +--R (2b - 2a b - 4a b + 4a b + 2a b - 2a b)cos(x) + 2a b - 2a b +--R + +--R 3 3 4 2 5 6 +--R - 4a b + 4a b + 2a b - 2a +--R * +--R x 2 +--R sin(x)tan(-) +--R 2 +--R + +--R 6 5 2 4 3 3 4 2 5 5 2 4 +--R (- 2b - 2a b + 4a b + 4a b - 2a b - 2a b)cos(x) - 2a b - 2a b +--R + +--R 3 3 4 2 5 6 +--R 4a b + 4a b - 2a b - 2a +--R * +--R sin(x) +--R Type: Expression Integer +--E 410 + +--S 411 of 532 +m0775b:= a0775.2-r0775 +--R +--R +--R +---------+ x +--R | 2 2 (b - a)tan(-) +--R sin(x)\|- b + a 2 +--R a atan(---------------------) + a atan(-------------) +--R (b + a)cos(x) + b + a +---------+ +--R | 2 2 +--R \|- b + a +--R (381) ----------------------------------------------------- +--R +---------+ +--R 3 2 | 2 2 +--R (b - a b)\|- b + a +--R Type: Expression Integer +--E 411 + +--S 412 of 532 +d0775b:= D(m0775b,x) +--R +--R +--R (382) +--R 2 2 2 2 2 +--R ((- a b + a )sin(x) + (- 3a b + a )cos(x) - 4a b cos(x) - a b - a ) +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 2 2 2 2 2 +--R (3a b + a )sin(x) + (a b + a )cos(x) - a b - a +--R / +--R 5 4 3 2 4 2 5 2 3 4 2 +--R (2b - 4a b + 4a b - 2a b)sin(x) + (- 2b + 4a b - 2a b)cos(x) +--R + +--R 5 2 3 4 5 2 3 4 +--R (- 4b + 8a b - 4a b)cos(x) - 2b + 4a b - 2a b +--R * +--R x 2 +--R tan(-) +--R 2 +--R + +--R 5 2 3 4 2 5 4 3 2 4 2 +--R (- 2b + 4a b - 2a b)sin(x) + (2b + 4a b - 4a b - 2a b)cos(x) +--R + +--R 5 4 3 2 4 5 4 3 2 4 +--R (4b + 8a b - 8a b - 4a b)cos(x) + 2b + 4a b - 4a b - 2a b +--R Type: Expression Integer +--E 412 + +--S 413 of 532 +t0776:= x*sec(x)^2/(a+b*tan(x))^2 +--R +--R +--R 2 +--R x sec(x) +--R (383) ---------------------------- +--R 2 2 2 +--R b tan(x) + 2a b tan(x) + a +--R Type: Expression Integer +--E 413 + +--S 414 of 532 +r0776:= a*x/b/(a^2+b^2)+log(a*cos(x)+b*sin(x))/(a^2+b^2)-x/b/(a+b*tan(x)) +--R +--R +--R (b tan(x) + a)log(b sin(x) + a cos(x)) + a x tan(x) - b x +--R (384) --------------------------------------------------------- +--R 3 2 2 3 +--R (b + a b)tan(x) + a b + a +--R Type: Expression Integer +--E 414 + +--S 415 of 532 +a0776:= integrate(t0776,x) +--R +--R +--R (385) +--R 2 +--R (- b sin(x) - a cos(x))log(----------) +--R cos(x) + 1 +--R + +--R - 2b sin(x) - 2a cos(x) +--R (b sin(x) + a cos(x))log(-----------------------) + a x sin(x) - b x cos(x) +--R cos(x) + 1 +--R / +--R 3 2 2 3 +--R (b + a b)sin(x) + (a b + a )cos(x) +--R Type: Union(Expression Integer,...) +--E 415 + +--S 416 of 532 +m0776:= a0776-r0776 +--R +--R +--R (386) +--R 2 2 +--R ((- b sin(x) - a b cos(x))tan(x) - a b sin(x) - a cos(x)) +--R * +--R log(b sin(x) + a cos(x)) +--R + +--R 2 2 2 +--R ((- b sin(x) - a b cos(x))tan(x) - a b sin(x) - a cos(x))log(----------) +--R cos(x) + 1 +--R + +--R 2 2 +--R ((b sin(x) + a b cos(x))tan(x) + a b sin(x) + a cos(x)) +--R * +--R - 2b sin(x) - 2a cos(x) +--R log(-----------------------) +--R cos(x) + 1 +--R + +--R 2 2 2 2 +--R (- b - a )x cos(x)tan(x) + (b + a )x sin(x) +--R / +--R 4 2 2 3 3 3 3 +--R ((b + a b )sin(x) + (a b + a b)cos(x))tan(x) + (a b + a b)sin(x) +--R + +--R 2 2 4 +--R (a b + a )cos(x) +--R Type: Expression Integer +--E 416 + +--S 417 of 532 +d0776:= D(m0776,x) +--R +--R +--R (387) +--R 2 2 2 2 2 +--R ((- 2a b x - b )cos(x)sin(x) + ((b - a )x - a b)cos(x) )tan(x) +--R + +--R 2 2 2 2 +--R ((2a b x + b )sin(x) + (2a b x - a )cos(x) )tan(x) +--R + +--R 2 2 2 2 +--R ((- b + a )x + a b)sin(x) + (- 2a b x + a )cos(x)sin(x) +--R / +--R 4 2 3 2 2 2 2 +--R (b sin(x) + 2a b cos(x)sin(x) + a b cos(x) )tan(x) +--R + +--R 3 2 2 2 3 2 2 2 2 +--R (2a b sin(x) + 4a b cos(x)sin(x) + 2a b cos(x) )tan(x) + a b sin(x) +--R + +--R 3 4 2 +--R 2a b cos(x)sin(x) + a cos(x) +--R Type: Expression Integer +--E 417 + +--S 418 of 532 +t0777:= x*csc(x)^2/(a+b*cot(x))^2 +--R +--R +--R 2 +--R x csc(x) +--R (388) ---------------------------- +--R 2 2 2 +--R b cot(x) + 2a b cot(x) + a +--R Type: Expression Integer +--E 418 + +--S 419 of 532 +r0777:= -a*x/b/(a^2+b^2)+x/b/(a+b*cot(x))+log(b*cos(x)+a*sin(x))/(a^2+b^2) +--R +--R +--R (b cot(x) + a)log(a sin(x) + b cos(x)) - a x cot(x) + b x +--R (389) --------------------------------------------------------- +--R 3 2 2 3 +--R (b + a b)cot(x) + a b + a +--R Type: Expression Integer +--E 419 + +--S 420 of 532 +a0777:= integrate(t0777,x) +--R +--R +--R (390) +--R 2 +--R (- a sin(x) - b cos(x))log(----------) +--R cos(x) + 1 +--R + +--R - 2a sin(x) - 2b cos(x) +--R (a sin(x) + b cos(x))log(-----------------------) + b x sin(x) - a x cos(x) +--R cos(x) + 1 +--R / +--R 2 3 3 2 +--R (a b + a )sin(x) + (b + a b)cos(x) +--R Type: Union(Expression Integer,...) +--E 420 + +--S 421 of 532 +m0777:= a0777-r0777 +--R +--R +--R (391) +--R 2 2 +--R ((- a b cot(x) - a )sin(x) - b cos(x)cot(x) - a b cos(x)) +--R * +--R log(a sin(x) + b cos(x)) +--R + +--R 2 2 2 +--R ((- a b cot(x) - a )sin(x) - b cos(x)cot(x) - a b cos(x))log(----------) +--R cos(x) + 1 +--R + +--R 2 2 +--R ((a b cot(x) + a )sin(x) + b cos(x)cot(x) + a b cos(x)) +--R * +--R - 2a sin(x) - 2b cos(x) +--R log(-----------------------) +--R cos(x) + 1 +--R + +--R 2 2 2 2 +--R (b + a )x cot(x)sin(x) + (- b - a )x cos(x) +--R / +--R 3 3 2 2 4 4 2 2 +--R ((a b + a b)cot(x) + a b + a )sin(x) + (b + a b )cos(x)cot(x) +--R + +--R 3 3 +--R (a b + a b)cos(x) +--R Type: Expression Integer +--E 421 + +--S 422 of 532 +d0777:= D(m0777,x) +--R +--R +--R (392) +--R 2 2 2 2 2 +--R (((b - a )x + a b)cot(x) + (2a b x + a )cot(x))sin(x) +--R + +--R 2 2 2 +--R ((- 2a b x + b )cos(x)cot(x) + (- 2a b x - a )cos(x))sin(x) +--R + +--R 2 2 2 2 2 +--R (2a b x - b )cos(x) cot(x) + ((- b + a )x - a b)cos(x) +--R / +--R 2 2 2 3 4 2 +--R (a b cot(x) + 2a b cot(x) + a )sin(x) +--R + +--R 3 2 2 2 3 +--R (2a b cos(x)cot(x) + 4a b cos(x)cot(x) + 2a b cos(x))sin(x) +--R + +--R 4 2 2 3 2 2 2 2 +--R b cos(x) cot(x) + 2a b cos(x) cot(x) + a b cos(x) +--R Type: Expression Integer +--E 422 + +--S 423 of 532 +t0778:= sin(a+b*x)*tan(c+b*x) +--R +--R +--R (393) sin(b x + a)tan(b x + c) +--R Type: Expression Integer +--E 423 + +--S 424 of 532 +r0778:= (atanh(sin(c+b*x))*cos(a-c)-sin(a+b*x))/b +--R +--R +--R cos(c - a)atanh(sin(b x + c)) - sin(b x + a) +--R (394) -------------------------------------------- +--R b +--R Type: Expression Integer +--E 424 + +--S 425 of 532 +a0778:= integrate(t0778,x) +--R +--R +--R (395) +--R log +--R 2 +--R ((cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) + 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R (cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) +--R + +--R (cos(b x + a) + 1)tan(c - a) + sin(b x + a) +--R / +--R sin(b x + a)tan(c - a) - cos(b x + a) +--R + +--R +---------------+ +--R | 2 +--R - sin(b x + a)\|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R b\|tan(c - a) + 1 +--R Type: Union(Expression Integer,...) +--E 425 + +--S 426 of 532 +m0778:= a0778-r0778 +--R +--R +--R (396) +--R log +--R 2 +--R ((cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) + 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R (cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) +--R + +--R (cos(b x + a) + 1)tan(c - a) + sin(b x + a) +--R / +--R sin(b x + a)tan(c - a) - cos(b x + a) +--R + +--R +---------------+ +--R | 2 +--R - cos(c - a)atanh(sin(b x + c))\|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R b\|tan(c - a) + 1 +--R Type: Expression Integer +--E 426 + +--S 427 of 532 +d0778:= D(m0778,x) +--R +--R +--R (397) +--R (cos(c - a)cos(b x + a) + cos(c - a))cos(b x + c)sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 2 2 +--R (- sin(b x + a) - cos(b x + a) - cos(b x + a))sin(b x + c) +--R + +--R 2 +--R (cos(c - a)cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 +--R (- cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a))cos(b x + c) +--R + +--R 2 +--R cos(b x + a) + cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 +--R - sin(b x + a)sin(b x + c) +--R + +--R ((- cos(c - a)cos(b x + a) + cos(c - a))cos(b x + c) + 1) +--R * +--R sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 2 2 2 +--R (- sin(b x + a) - cos(b x + a) )sin(b x + c) + sin(b x + a) +--R + +--R 2 +--R - cos(c - a)cos(b x + a)cos(b x + c) + cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 4 +--R (cos(c - a)cos(b x + a) + cos(c - a))cos(b x + c)sin(b x + a)tan(c - a) +--R + +--R 2 2 2 +--R (- sin(b x + a) - cos(b x + a) - cos(b x + a))sin(b x + c) +--R + +--R 2 +--R (cos(c - a)cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 +--R (- cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a))cos(b x + c) +--R + +--R 2 +--R cos(b x + a) + cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 +--R - sin(b x + a)sin(b x + c) +--R + +--R (cos(c - a)cos(b x + c) + 1)sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 2 2 +--R (- sin(b x + a) - cos(b x + a) - cos(b x + a))sin(b x + c) +--R + +--R 2 +--R (cos(c - a)cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 +--R (- cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a))cos(b x + c) +--R + +--R 2 +--R cos(b x + a) + cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R - sin(b x + a)sin(b x + c) +--R + +--R (- cos(c - a)cos(b x + a)cos(b x + c) + 1)sin(b x + a) +--R / +--R 2 +--R (cos(b x + a) + 1)sin(b x + a)sin(b x + c) +--R + +--R (- cos(b x + a) - 1)sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 2 2 +--R (sin(b x + a) - cos(b x + a) - cos(b x + a))sin(b x + c) +--R + +--R 2 2 +--R - sin(b x + a) + cos(b x + a) + cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 +--R (- cos(b x + a) + 1)sin(b x + a)sin(b x + c) +--R + +--R (cos(b x + a) - 1)sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R - cos(b x + a)sin(b x + c) + cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 2 +--R (cos(b x + a) + 1)sin(b x + a)sin(b x + c) +--R + +--R (- cos(b x + a) - 1)sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 2 2 +--R (sin(b x + a) - cos(b x + a) - cos(b x + a))sin(b x + c) +--R + +--R 2 2 +--R - sin(b x + a) + cos(b x + a) + cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 2 +--R (sin(b x + a)sin(b x + c) - sin(b x + a))tan(c - a) +--R + +--R 2 2 2 +--R (sin(b x + a) - cos(b x + a) - cos(b x + a))sin(b x + c) +--R + +--R 2 2 +--R - sin(b x + a) + cos(b x + a) + cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R - cos(b x + a)sin(b x + a)sin(b x + c) + cos(b x + a)sin(b x + a) +--R Type: Expression Integer +--E 427 + +--S 428 of 532 +t0779:= sin(a+b*x)*tan(c+b*x)^2 +--R +--R +--R 2 +--R (398) sin(b x + a)tan(b x + c) +--R Type: Expression Integer +--E 428 + +--S 429 of 532 +r0779:= cos(a+b*x)/b+cos(a-c)*sec(c+b*x)/b+atanh(sin(c+b*x))*sin(a-c)/b +--R +--R +--R (399) +--R - sin(c - a)atanh(sin(b x + c)) + cos(c - a)sec(b x + c) + cos(b x + a) +--R ----------------------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 429 + +--S 430 of 532 +a0779:= integrate(t0779,x) +--R +--R +--R (400) +--R 2 +--R (sin(b x + a)tan(c - a) - cos(b x + a)tan(c - a)) +--R * +--R log +--R 2 +--R ((cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) + 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R (- cos(b x + a) - 1)tan(c - a) - sin(b x + a)tan(c - a) +--R + +--R (- cos(b x + a) - 1)tan(c - a) - sin(b x + a) +--R / +--R sin(b x + a)tan(c - a) - cos(b x + a) +--R + +--R 2 +--R (cos(b x + a) + 2)sin(b x + a)tan(c - a) - cos(b x + a) +--R + +--R - 2cos(b x + a) - 1 +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R (b sin(b x + a)tan(c - a) - b cos(b x + a))\|tan(c - a) + 1 +--R Type: Union(Expression Integer,...) +--E 430 + +--S 431 of 532 +m0779:= a0779-r0779 +--R +--R +--R (401) +--R 2 +--R (sin(b x + a)tan(c - a) - cos(b x + a)tan(c - a)) +--R * +--R log +--R 2 +--R ((cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) + 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R (- cos(b x + a) - 1)tan(c - a) - sin(b x + a)tan(c - a) +--R + +--R (- cos(b x + a) - 1)tan(c - a) - sin(b x + a) +--R / +--R sin(b x + a)tan(c - a) - cos(b x + a) +--R + +--R (sin(c - a)sin(b x + a)tan(c - a) - cos(b x + a)sin(c - a)) +--R * +--R atanh(sin(b x + c)) +--R + +--R (- cos(c - a)sec(b x + c) + 2)sin(b x + a)tan(c - a) +--R + +--R cos(c - a)cos(b x + a)sec(b x + c) - 2cos(b x + a) - 1 +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R (b sin(b x + a)tan(c - a) - b cos(b x + a))\|tan(c - a) + 1 +--R Type: Expression Integer +--E 431 + +--S 432 of 532 +d0779:= D(m0779,x) +--R +--R +--R (402) +--R (- cos(c - a)cos(b x + a) - cos(c - a))sec(b x + c) +--R * +--R 2 2 +--R sin(b x + a) sin(b x + c) +--R + +--R 2 +--R (cos(c - a)cos(b x + a) + cos(c - a))sec(b x + c)sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 +--R - cos(c - a)sec(b x + c)sin(b x + a) +--R + +--R 2 +--R (2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a)) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R cos(c - a)sec(b x + c)sin(b x + a) +--R + +--R 2 +--R (- 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a)) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R (2cos(c - a)cos(b x + a) - cos(c - a))sec(b x + c) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 3 2 +--R (- cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) ) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R (- 2cos(c - a)cos(b x + a) + cos(c - a))sec(b x + c) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 3 2 +--R (cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) )sec(b x + c) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 +--R (- cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a)) +--R * +--R 2 +--R sec(b x + c)sin(b x + a)sin(b x + c) +--R + +--R 2 +--R (cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a)) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 2 +--R - cos(c - a)cos(b x + a) sec(b x + c)sin(b x + c) +--R + +--R 2 +--R cos(c - a)cos(b x + a) sec(b x + c) +--R * +--R tan(b x + c) +--R + +--R 3 2 +--R (sin(b x + a) + (cos(b x + a) + cos(b x + a))sin(b x + a)) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R - sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) - 1)cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) - cos(b x + a))sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 3 +--R (- cos(b x + a) + 1)sin(b x + a) - cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R - cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R (cos(b x + a) - 1)sin(b x + a) +--R + +--R 2 +--R (2cos(b x + a) + 2cos(b x + a))cos(b x + c)sin(c - a) +--R * +--R sin(b x + a) +--R + +--R 3 +--R cos(b x + a) - cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 +--R sin(b x + a) +--R + +--R 2 +--R (cos(b x + a) + cos(b x + a) + 1)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R - sin(b x + a) +--R + +--R 2 +--R (2cos(b x + a) - 1)cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) - cos(b x + a) - 1)sin(b x + a) +--R + +--R 3 2 +--R (- cos(b x + a) - cos(b x + a) )cos(b x + c)sin(c - a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 3 +--R (- cos(b x + a) + 1)sin(b x + a) - cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R (cos(b x + a) - 1)sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) + 2cos(b x + a))cos(b x + c)sin(c - a) +--R * +--R sin(b x + a) +--R + +--R 3 +--R cos(b x + a) - cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R sin(b x + a)sin(b x + c) - sin(b x + a) +--R + +--R 2 +--R - cos(b x + a) cos(b x + c)sin(c - a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 2 +--R (cos(c - a)cos(b x + a) + cos(c - a))sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R (- cos(c - a)cos(b x + a) - cos(c - a))sec(b x + c)sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 3 +--R cos(c - a)sec(b x + c)sin(b x + a) +--R + +--R 2 +--R (- 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a)) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R - cos(c - a)sec(b x + c)sin(b x + a) +--R + +--R 2 +--R (2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a)) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R (- cos(c - a)cos(b x + a) + cos(c - a))sec(b x + c) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 3 2 +--R (cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) )sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R (cos(c - a)cos(b x + a) - cos(c - a))sec(b x + c)sin(b x + a) +--R + +--R 3 2 +--R (- cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) )sec(b x + c) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 +--R cos(c - a)sec(b x + c)sin(b x + a) +--R + +--R 2 +--R (- cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a)) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R - cos(c - a)sec(b x + c)sin(b x + a) +--R + +--R 2 +--R (cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a))sec(b x + c) +--R * +--R sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 +--R - 2cos(c - a)cos(b x + a)sec(b x + c)sin(b x + a) +--R + +--R 3 2 +--R (cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) )sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R 2cos(c - a)cos(b x + a)sec(b x + c)sin(b x + a) +--R + +--R 3 2 +--R (- cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) )sec(b x + c) +--R * +--R tan(c - a) +--R + +--R 2 2 +--R cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a)sin(b x + c) +--R + +--R 2 +--R - cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R * +--R tan(b x + c) +--R + +--R 3 2 +--R (- sin(b x + a) + (- cos(b x + a) - cos(b x + a))sin(b x + a)) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R sin(b x + a) + (cos(b x + a) + 1)cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R (cos(b x + a) + cos(b x + a))sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 3 +--R ((cos(b x + a) - 1)sin(b x + a) + cos(b x + a) - cos(b x + a)) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) + 1)sin(b x + a) +--R + +--R 2 +--R (- 2cos(b x + a) - 2cos(b x + a))cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 3 +--R - cos(b x + a) + cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 +--R - sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) - 2cos(b x + a) - 1)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) + 1)cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R (cos(b x + a) + 2cos(b x + a) + 1)sin(b x + a) +--R + +--R 3 2 +--R (cos(b x + a) + cos(b x + a) )cos(b x + c)sin(c - a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 3 +--R ((cos(b x + a) - 2)sin(b x + a) + cos(b x + a) - cos(b x + a)) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) + 2)sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) - 2cos(b x + a))cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 3 +--R - cos(b x + a) + cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 +--R (- cos(b x + a) - 1)sin(b x + a)sin(b x + c) +--R + +--R 2 +--R - 2cos(b x + a)cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R (cos(b x + a) + 1)sin(b x + a) +--R + +--R 3 2 +--R (cos(b x + a) + cos(b x + a) )cos(b x + c)sin(c - a) +--R * +--R tan(c - a) +--R + +--R 2 2 2 +--R - sin(b x + a) sin(b x + c) + sin(b x + a) +--R + +--R 2 +--R cos(b x + a) cos(b x + c)sin(c - a)sin(b x + a) +--R / +--R 2 2 +--R (cos(b x + a) + 1)sin(b x + a) sin(b x + c) +--R + +--R 2 +--R (- cos(b x + a) - 1)sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 +--R sin(b x + a) +--R + +--R 2 +--R (- 2cos(b x + a) - 2cos(b x + a))sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R - sin(b x + a) + (2cos(b x + a) + 2cos(b x + a))sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 3 +--R (- 2cos(b x + a) + 1)sin(b x + a) + cos(b x + a) +--R + +--R 2 +--R cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 3 2 +--R (2cos(b x + a) - 1)sin(b x + a) - cos(b x + a) - cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 2 +--R (cos(b x + a) - 2cos(b x + a))sin(b x + a)sin(b x + c) +--R + +--R 2 +--R (- cos(b x + a) + 2cos(b x + a))sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 2 2 +--R cos(b x + a) sin(b x + c) - cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 2 2 +--R (- cos(b x + a) - 1)sin(b x + a) sin(b x + c) +--R + +--R 2 +--R (cos(b x + a) + 1)sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 3 2 +--R (- sin(b x + a) + (2cos(b x + a) + 2cos(b x + a))sin(b x + a)) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R sin(b x + a) + (- 2cos(b x + a) - 2cos(b x + a))sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 3 2 +--R ((cos(b x + a) - 1)sin(b x + a) - cos(b x + a) - cos(b x + a) ) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 3 2 +--R (- cos(b x + a) + 1)sin(b x + a) + cos(b x + a) + cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 2 +--R (- sin(b x + a) + (cos(b x + a) + 2cos(b x + a))sin(b x + a)) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R sin(b x + a) + (- cos(b x + a) - 2cos(b x + a))sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 3 2 +--R (2cos(b x + a)sin(b x + a) - cos(b x + a) - cos(b x + a) ) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 3 2 +--R - 2cos(b x + a)sin(b x + a) + cos(b x + a) + cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 2 2 +--R - cos(b x + a) sin(b x + a)sin(b x + c) + cos(b x + a) sin(b x + a) +--R Type: Expression Integer +--E 432 + +--S 433 of 532 +t0780:= sin(a+b*x)*tan(c+b*x)^3 +--R +--R +--R 3 +--R (403) sin(b x + a)tan(b x + c) +--R Type: Expression Integer +--E 433 + +--S 434 of 532 +r0780:= -3/2*atanh(sin(c+b*x))*cos(a-c)/b+sec(c+b*x)*sin(a-c)/b+sin(a+b*x)/b+1/2*cos(a-c)*sec(c+b*x)*tan(c+b*x)/b +--R +--R +--R (404) +--R - 3cos(c - a)atanh(sin(b x + c)) + cos(c - a)sec(b x + c)tan(b x + c) +--R + +--R 2sin(b x + a) - 2sec(b x + c)sin(c - a) +--R / +--R 2b +--R Type: Expression Integer +--E 434 + +--S 435 of 532 +a0780:= integrate(t0780,x) +--R +--R +--R (405) +--R 2 2 +--R (3cos(b x + a) - 3)tan(c - a) + 6cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 +--R - 3cos(b x + a) +--R * +--R log +--R 2 +--R ((cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) + 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R (- cos(b x + a) - 1)tan(c - a) - sin(b x + a)tan(c - a) +--R + +--R (- cos(b x + a) - 1)tan(c - a) - sin(b x + a) +--R / +--R sin(b x + a)tan(c - a) - cos(b x + a) +--R + +--R 2 3 +--R (- cos(b x + a) + 1)tan(c - a) +--R + +--R 2 2 +--R (2cos(b x + a) - 2cos(b x + a) - 4)sin(b x + a)tan(c - a) +--R + +--R 3 2 +--R (- 4cos(b x + a) + cos(b x + a) + 5cos(b x + a))tan(c - a) +--R + +--R 2 +--R (- 2cos(b x + a) - 1)sin(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R 2 2 +--R (2b cos(b x + a) - 2b)tan(c - a) +--R + +--R 2 +--R 4b cos(b x + a)sin(b x + a)tan(c - a) - 2b cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R Type: Union(Expression Integer,...) +--E 435 + +--S 436 of 532 +m0780:= a0780-r0780 +--R +--R +--R (406) +--R 2 2 +--R (3cos(b x + a) - 3)tan(c - a) + 6cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 +--R - 3cos(b x + a) +--R * +--R log +--R 2 +--R ((cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) + 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R (- cos(b x + a) - 1)tan(c - a) - sin(b x + a)tan(c - a) +--R + +--R (- cos(b x + a) - 1)tan(c - a) - sin(b x + a) +--R / +--R sin(b x + a)tan(c - a) - cos(b x + a) +--R + +--R 2 2 +--R (3cos(c - a)cos(b x + a) - 3cos(c - a))tan(c - a) +--R + +--R 6cos(c - a)cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 +--R - 3cos(c - a)cos(b x + a) +--R * +--R atanh(sin(b x + c)) +--R + +--R 2 2 +--R (- cos(c - a)cos(b x + a) + cos(c - a))sec(b x + c)tan(c - a) +--R + +--R - 2cos(c - a)cos(b x + a)sec(b x + c)sin(b x + a)tan(c - a) +--R + +--R 2 +--R cos(c - a)cos(b x + a) sec(b x + c) +--R * +--R tan(b x + c) +--R + +--R 2 3 +--R (- cos(b x + a) + 1)tan(c - a) +--R + +--R (- 2cos(b x + a) - 2)sin(b x + a) +--R + +--R 2 +--R (2cos(b x + a) - 2)sec(b x + c)sin(c - a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 +--R - 4cos(b x + a)sin(b x + a) +--R + +--R 3 +--R 4cos(b x + a)sec(b x + c)sin(c - a)sin(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R cos(b x + a) + 5cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R - sin(b x + a) - 2cos(b x + a) sec(b x + c)sin(c - a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R 2 2 +--R (2b cos(b x + a) - 2b)tan(c - a) +--R + +--R 2 +--R 4b cos(b x + a)sin(b x + a)tan(c - a) - 2b cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R Type: Expression Integer +--E 436 + +--S 437 of 532 +d0780:= D(m0780,x) +--R +--R +--R (407) +--R 5 4 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a)sin(b x + c) +--R + +--R 5 4 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a)cos(b x + a) + 2cos(c - a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 4 +--R - 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 +--R 10cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 6 +--R tan(c - a) +--R + +--R 3 +--R - 16cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 8cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R 14cos(c - a)cos(b x + a) + 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 16cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 8cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R 16cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 8cos(c - a)cos(b x + a) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R - 14cos(c - a)cos(b x + a) - 10cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 16cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a)cos(b x + a) + 2cos(c - a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 4 +--R - 8cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R 28cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R - 4cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 4 +--R 4cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R 8cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R - 28cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R 4cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 4 +--R - 4cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 2 +--R (16cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) ) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 5 +--R - 14cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 2cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R (- 16cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) ) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R 14cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 4cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 4 +--R - 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R 16cos(c - a)cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 3 +--R 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 +--R (10cos(c - a)cos(b x + a) - 16cos(c - a)cos(b x + a) ) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R tan(c - a) +--R + +--R 5 4 +--R (2cos(c - a)cos(b x + a) - 10cos(c - a)cos(b x + a) ) +--R * +--R 2 +--R sec(b x + c)sin(b x + a)sin(b x + c) +--R + +--R 5 4 +--R (- 2cos(c - a)cos(b x + a) + 10cos(c - a)cos(b x + a) ) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 5 2 +--R 2cos(c - a)cos(b x + a) sec(b x + c)sin(b x + c) +--R + +--R 5 +--R - 2cos(c - a)cos(b x + a) sec(b x + c) +--R * +--R 2 +--R tan(b x + c) +--R + +--R 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a)sin(b x + c) +--R + +--R 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 4 3 2 +--R 10cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R - 8cos(b x + a) + 2 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 3 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 2 +--R - 10cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R 8cos(b x + a) - 2 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 3 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 3 2 +--R (16cos(b x + a) + 8cos(b x + a) - 8cos(b x + a)) +--R * +--R 3 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R - 14cos(b x + a) - 10cos(b x + a) + 16cos(b x + a) +--R + +--R 2 +--R 8cos(b x + a) - 2cos(b x + a) + 2 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R (- 16cos(b x + a) - 8cos(b x + a) + 8cos(b x + a)) +--R * +--R 3 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R 14cos(b x + a) + 10cos(b x + a) - 16cos(b x + a) +--R + +--R 2 +--R - 8cos(b x + a) + 2cos(b x + a) - 2 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 4 +--R 8cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R - 28cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R - 8cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R 4cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R - 8cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R 28cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R 8cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R - 4cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 2 +--R (- 16cos(b x + a) + 8cos(b x + a) )sec(b x + c) +--R * +--R 3 +--R sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R 14cos(b x + a) - 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R 12cos(b x + a) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R (16cos(b x + a) - 8cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 14cos(b x + a) + 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R - 12cos(b x + a) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 4 3 +--R (10cos(b x + a) - 16cos(b x + a) )sec(b x + c) +--R * +--R 2 +--R sin(c - a)sin(b x + a) +--R + +--R 6 5 3 +--R (- 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) ) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 +--R (- 10cos(b x + a) + 16cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 3 +--R (2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) ) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 5 4 +--R (- 2cos(b x + a) + 10cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + a)sin(b x + c) +--R + +--R 5 4 +--R (2cos(b x + a) - 10cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 5 2 +--R - 2cos(b x + a) sec(b x + c)sin(c - a)sin(b x + c) +--R + +--R 5 +--R 2cos(b x + a) sec(b x + c)sin(c - a) +--R * +--R tan(b x + c) +--R + +--R 2 3 +--R (- 4cos(b x + a) - 4cos(b x + a))sin(b x + a) +--R + +--R 5 4 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R - cos(c - a)cos(b x + a) - cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 4 3 2 +--R - 2cos(b x + a) - 2cos(b x + a) + 2cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 3 +--R (4cos(b x + a) + 4cos(b x + a))sin(b x + a) +--R + +--R 5 4 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R cos(c - a)cos(b x + a) + cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 5 4 +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 6cos(c - a)cos(b x + a) + 6cos(c - a)cos(b x + a) +--R + +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a) +--R * +--R cos(b x + c) +--R + +--R 4 3 2 +--R 2cos(b x + a) + 2cos(b x + a) - 2cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 3 2 +--R (- 4cos(b x + a) - 4cos(b x + a) - 12cos(b x + a) - 8) +--R * +--R 4 +--R sin(b x + a) +--R + +--R 4 3 +--R - 5cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R 6cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 5 4 3 +--R - 4cos(b x + a) - cos(b x + a) + 3cos(b x + a) +--R + +--R 2 +--R - cos(b x + a) + 7cos(b x + a) + 8 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 4 +--R 3cos(b x + a) + 5cos(b x + a) - 4cos(b x + a) +--R + +--R 3 2 +--R - 8cos(b x + a) + cos(b x + a) + 3cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R (4cos(b x + a) + 4cos(b x + a) + 12cos(b x + a) + 8) +--R * +--R 4 +--R sin(b x + a) +--R + +--R 4 3 +--R 5cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 6cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 4 3 +--R - 15cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R 2 +--R 18cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R + +--R - 3cos(c - a) +--R * +--R cos(b x + c) +--R + +--R 5 4 3 +--R 4cos(b x + a) + cos(b x + a) - 3cos(b x + a) +--R + +--R 2 +--R cos(b x + a) - 7cos(b x + a) - 8 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 +--R 3cos(c - a)cos(b x + a) + 3cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 6cos(c - a)cos(b x + a) - 6cos(c - a)cos(b x + a) +--R + +--R 2 +--R 3cos(c - a)cos(b x + a) + 3cos(c - a)cos(b x + a) +--R * +--R cos(b x + c) +--R + +--R 6 5 4 +--R - 3cos(b x + a) - 5cos(b x + a) + 4cos(b x + a) +--R + +--R 3 2 +--R 8cos(b x + a) - cos(b x + a) - 3cos(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 2 5 +--R (- 4cos(b x + a) - 8)sin(b x + a) +--R + +--R 3 2 +--R - 8cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 4 3 2 +--R 8cos(b x + a) + 24cos(b x + a) + 15cos(b x + a) +--R + +--R - 6cos(b x + a) + 5 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 +--R 7cos(c - a)cos(b x + a) + 5cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 8cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R cos(c - a)cos(b x + a) - cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 6 5 4 +--R 12cos(b x + a) + 24cos(b x + a) + 7cos(b x + a) +--R + +--R 3 2 +--R - 24cos(b x + a) - 24cos(b x + a) - 2cos(b x + a) + 3 +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 5 +--R (4cos(b x + a) + 8)sin(b x + a) +--R + +--R 3 2 +--R 8cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 3 2 +--R - 24cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R 12cos(c - a)cos(b x + a) +--R * +--R cos(b x + c) +--R + +--R 4 3 2 +--R - 8cos(b x + a) - 24cos(b x + a) - 15cos(b x + a) +--R + +--R 6cos(b x + a) - 5 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 +--R - 7cos(c - a)cos(b x + a) - 5cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 8cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - cos(c - a)cos(b x + a) + cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 5 4 +--R 21cos(c - a)cos(b x + a) + 15cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 24cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R 3cos(c - a)cos(b x + a) - 3cos(c - a) +--R * +--R cos(b x + c) +--R + +--R 6 5 4 +--R - 12cos(b x + a) - 24cos(b x + a) - 7cos(b x + a) +--R + +--R 3 2 +--R 24cos(b x + a) + 24cos(b x + a) + 2cos(b x + a) - 3 +--R * +--R sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 3 +--R - 4cos(c - a)cos(b x + a) sec(b x + c) + 16cos(b x + a) +--R + +--R 2 +--R 12cos(b x + a) + 8cos(b x + a) - 10 +--R * +--R 4 +--R sin(b x + a) +--R + +--R 4 3 +--R 14cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 6cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 5 4 3 +--R 8cos(b x + a) + cos(b x + a) + 7cos(b x + a) +--R + +--R 2 +--R - 2cos(b x + a) - 16cos(b x + a) + 8 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 4 +--R 2cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 7 6 5 +--R - 8cos(b x + a) - 11cos(b x + a) + 3cos(b x + a) +--R + +--R 4 3 +--R 11cos(b x + a) + 5cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R 4cos(c - a)cos(b x + a) sec(b x + c) +--R + +--R 2 3 +--R - 12cos(c - a)cos(b x + a) cos(b x + c) - 16cos(b x + a) +--R + +--R 2 +--R - 12cos(b x + a) - 8cos(b x + a) + 10 +--R * +--R 4 +--R sin(b x + a) +--R + +--R 4 3 +--R - 14cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R 6cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 4 3 +--R 42cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 18cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R * +--R cos(b x + c) +--R + +--R 5 4 3 +--R - 8cos(b x + a) - cos(b x + a) - 7cos(b x + a) +--R + +--R 2 +--R 2cos(b x + a) + 16cos(b x + a) - 8 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 4 +--R - 2cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 +--R - 6cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R + +--R 4 +--R 6cos(c - a)cos(b x + a) + 3cos(c - a)cos(b x + a) +--R * +--R cos(b x + c) +--R + +--R 7 6 5 +--R 8cos(b x + a) + 11cos(b x + a) - 3cos(b x + a) +--R + +--R 4 3 +--R - 11cos(b x + a) - 5cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 5 +--R (4cos(b x + a) - 2)sin(b x + a) +--R + +--R 3 2 +--R (8cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) ) +--R * +--R sec(b x + c) +--R + +--R 4 3 2 +--R - 8cos(b x + a) + 8cos(b x + a) + 9cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 +--R - 7cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 2cos(c - a)cos(b x + a) - 6cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 4 +--R - 12cos(b x + a) + 8cos(b x + a) - 3cos(b x + a) +--R + +--R 3 2 +--R - 16cos(b x + a) + 5cos(b x + a) - 4cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 5 +--R (- 4cos(b x + a) + 2)sin(b x + a) +--R + +--R 3 2 +--R (- 8cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) ) +--R * +--R sec(b x + c) +--R + +--R 3 2 +--R (24cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) ) +--R * +--R cos(b x + c) +--R + +--R 4 3 2 +--R 8cos(b x + a) - 8cos(b x + a) - 9cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 +--R 7cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 2cos(c - a)cos(b x + a) + 6cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 5 4 +--R - 21cos(c - a)cos(b x + a) + 3cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 6cos(c - a)cos(b x + a) - 18cos(c - a)cos(b x + a) +--R * +--R cos(b x + c) +--R + +--R 6 5 4 +--R 12cos(b x + a) - 8cos(b x + a) + 3cos(b x + a) +--R + +--R 3 2 +--R 16cos(b x + a) - 5cos(b x + a) + 4cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 2 +--R (- 4cos(b x + a) + 16cos(b x + a) + 4cos(b x + a) - 2) +--R * +--R 4 +--R sin(b x + a) +--R + +--R 4 3 +--R (- 5cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) ) +--R * +--R sec(b x + c) +--R + +--R 5 4 3 +--R - 4cos(b x + a) + 5cos(b x + a) - 8cos(b x + a) +--R + +--R 2 +--R - 3cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 3 +--R 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 4 +--R - 11cos(b x + a) + 2cos(b x + a) + 14cos(b x + a) +--R + +--R 2 +--R - cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R (4cos(b x + a) - 16cos(b x + a) - 4cos(b x + a) + 2) +--R * +--R 4 +--R sin(b x + a) +--R + +--R 4 3 +--R (5cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) ) +--R * +--R sec(b x + c) +--R + +--R 4 3 +--R (- 15cos(c - a)cos(b x + a) + 24cos(c - a)cos(b x + a) ) +--R * +--R cos(b x + c) +--R + +--R 5 4 3 +--R 4cos(b x + a) - 5cos(b x + a) + 8cos(b x + a) +--R + +--R 2 +--R 3cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R - cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 +--R 3cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R + +--R 3 +--R 6cos(c - a)cos(b x + a) +--R * +--R cos(b x + c) +--R + +--R 6 5 4 2 +--R 11cos(b x + a) - 2cos(b x + a) - 14cos(b x + a) + cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 3 2 +--R (- 16cos(b x + a) - 2cos(b x + a) + 4cos(b x + a)) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 +--R (cos(c - a)cos(b x + a) - 5cos(c - a)cos(b x + a) ) +--R * +--R sec(b x + c) +--R + +--R 5 4 3 +--R - 16cos(b x + a) + 2cos(b x + a) + 6cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 3 +--R (16cos(b x + a) + 2cos(b x + a) - 4cos(b x + a))sin(b x + a) +--R + +--R 5 4 +--R (- cos(c - a)cos(b x + a) + 5cos(c - a)cos(b x + a) ) +--R * +--R sec(b x + c) +--R + +--R 5 4 +--R (3cos(c - a)cos(b x + a) - 15cos(c - a)cos(b x + a) ) +--R * +--R cos(b x + c) +--R + +--R 5 4 3 +--R 16cos(b x + a) - 2cos(b x + a) - 6cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 4 2 2 +--R (3cos(b x + a) - 2cos(b x + a) )sin(b x + a) +--R + +--R 5 6 +--R cos(c - a)cos(b x + a) sec(b x + c) + 3cos(b x + a) +--R + +--R 4 +--R - cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 2 2 +--R (- 3cos(b x + a) + 2cos(b x + a) )sin(b x + a) +--R + +--R 5 +--R - cos(c - a)cos(b x + a) sec(b x + c) +--R + +--R 5 6 4 +--R 3cos(c - a)cos(b x + a) cos(b x + c) - 3cos(b x + a) + cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 5 4 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a)cos(b x + a) + 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a)sin(b x + c) +--R + +--R 5 4 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 8 +--R tan(c - a) +--R + +--R 4 3 +--R 10cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 +--R - 10cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 7 +--R tan(c - a) +--R + +--R 3 2 +--R 16cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 8cos(c - a)cos(b x + a) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R - 12cos(c - a)cos(b x + a) - 10cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 12cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R - 16cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 8cos(c - a)cos(b x + a) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R 12cos(c - a)cos(b x + a) + 10cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 12cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 2 4 +--R 8cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R - 18cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R - 8cos(c - a)cos(b x + a) + 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R - 8cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R 18cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 8cos(c - a)cos(b x + a) - 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 +--R (8cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a)) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R - 2cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R (- 8cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a)) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R 2cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 4 +--R 8cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R - 18cos(c - a)cos(b x + a) - 16cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R - 8cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R 18cos(c - a)cos(b x + a) + 16cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 3 +--R - 16cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R 12cos(c - a)cos(b x + a) + 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 3 +--R 16cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R - 12cos(c - a)cos(b x + a) - 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 4 2 +--R 10cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R (- 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) ) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 2 +--R - 10cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R (2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) )sec(b x + c) +--R * +--R tan(c - a) +--R + +--R 5 2 +--R - 2cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a)sin(b x + c) +--R + +--R 5 +--R 2cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R * +--R 2 +--R tan(b x + c) +--R + +--R 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a)sin(b x + c) +--R + +--R 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 8 +--R tan(c - a) +--R + +--R 4 3 2 +--R - 10cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R 8cos(b x + a) - 2 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 3 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 2 +--R 10cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R - 8cos(b x + a) + 2 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 3 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 3 2 +--R (- 16cos(b x + a) - 8cos(b x + a) + 8cos(b x + a)) +--R * +--R 3 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 10cos(b x + a) - 12cos(b x + a) +--R + +--R 2 +--R - 8cos(b x + a) - 2 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R (16cos(b x + a) + 8cos(b x + a) - 8cos(b x + a))sec(b x + c) +--R * +--R 3 +--R sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 10cos(b x + a) + 12cos(b x + a) +--R + +--R 2 +--R 8cos(b x + a) + 2 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 2 4 +--R - 8cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 +--R (18cos(b x + a) + 8cos(b x + a) + 8cos(b x + a) - 2) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 2 +--R - 2cos(b x + a) - 2cos(b x + a) + 2cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R 8cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 +--R (- 18cos(b x + a) - 8cos(b x + a) - 8cos(b x + a) + 2) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 2 +--R 2cos(b x + a) + 2cos(b x + a) - 2cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 +--R (- 8cos(b x + a) + 8cos(b x + a))sec(b x + c)sin(c - a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R 2cos(b x + a) - 12cos(b x + a) - 12cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R (8cos(b x + a) - 8cos(b x + a))sec(b x + c)sin(c - a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R - 2cos(b x + a) + 12cos(b x + a) + 12cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 4 +--R - 8cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R (18cos(b x + a) + 16cos(b x + a) - 12cos(b x + a) ) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 3 +--R 4cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R 8cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R (- 18cos(b x + a) - 16cos(b x + a) + 12cos(b x + a) ) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 3 +--R - 4cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 3 +--R 16cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R (- 12cos(b x + a) - 10cos(b x + a) + 4cos(b x + a) ) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 3 +--R - 16cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R (12cos(b x + a) + 10cos(b x + a) - 4cos(b x + a) ) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 4 2 +--R - 10cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 +--R (2cos(b x + a) + 2cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 2 +--R 10cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 +--R (- 2cos(b x + a) - 2cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R tan(c - a) +--R + +--R 5 2 +--R 2cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a)sin(b x + c) +--R + +--R 5 +--R - 2cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R tan(b x + c) +--R + +--R 2 3 +--R (4cos(b x + a) + 4cos(b x + a))sin(b x + a) +--R + +--R 5 4 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R cos(c - a)cos(b x + a) + cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 4 3 2 +--R 2cos(b x + a) + 2cos(b x + a) - 2cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 3 +--R (- 4cos(b x + a) - 4cos(b x + a))sin(b x + a) +--R + +--R 5 4 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R - cos(c - a)cos(b x + a) - cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 5 4 +--R 3cos(c - a)cos(b x + a) + 3cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 6cos(c - a)cos(b x + a) - 6cos(c - a)cos(b x + a) +--R + +--R 3cos(c - a)cos(b x + a) + 3cos(c - a) +--R * +--R cos(b x + c) +--R + +--R 4 3 2 +--R - 2cos(b x + a) - 2cos(b x + a) + 2cos(b x + a) + 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 8 +--R tan(c - a) +--R + +--R 3 2 +--R (4cos(b x + a) + 4cos(b x + a) + 12cos(b x + a) + 8) +--R * +--R 4 +--R sin(b x + a) +--R + +--R 4 3 +--R 5cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 6cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 5 4 3 +--R 4cos(b x + a) + cos(b x + a) - 3cos(b x + a) +--R + +--R 2 +--R cos(b x + a) - 7cos(b x + a) - 8 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 4 +--R - 3cos(b x + a) - 5cos(b x + a) + 4cos(b x + a) +--R + +--R 3 2 +--R 8cos(b x + a) - cos(b x + a) - 3cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 4 +--R (- 4cos(b x + a) - 4cos(b x + a) - 12cos(b x + a) - 8)sin(b x + a) +--R + +--R 4 3 +--R - 5cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R 6cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) - cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 4 3 +--R 15cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 18cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R 3cos(c - a) +--R * +--R cos(b x + c) +--R + +--R 5 4 3 2 +--R - 4cos(b x + a) - cos(b x + a) + 3cos(b x + a) - cos(b x + a) +--R + +--R 7cos(b x + a) + 8 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 6cos(c - a)cos(b x + a) + 6cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R * +--R cos(b x + c) +--R + +--R 6 5 4 3 +--R 3cos(b x + a) + 5cos(b x + a) - 4cos(b x + a) - 8cos(b x + a) +--R + +--R 2 +--R cos(b x + a) + 3cos(b x + a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 2 5 +--R (4cos(b x + a) + 8)sin(b x + a) +--R + +--R 3 2 +--R 8cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 4 3 2 +--R - 8cos(b x + a) - 24cos(b x + a) - 11cos(b x + a) +--R + +--R 6cos(b x + a) - 5 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 +--R - 6cos(c - a)cos(b x + a) - 5cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 6cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 6 5 4 +--R - 12cos(b x + a) - 24cos(b x + a) - 5cos(b x + a) +--R + +--R 3 2 +--R 24cos(b x + a) + 22cos(b x + a) + 2cos(b x + a) - 3 +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 5 +--R (- 4cos(b x + a) - 8)sin(b x + a) +--R + +--R 3 2 +--R - 8cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 3 2 +--R 24cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R + +--R - 12cos(c - a)cos(b x + a) +--R * +--R cos(b x + c) +--R + +--R 4 3 2 +--R 8cos(b x + a) + 24cos(b x + a) + 11cos(b x + a) +--R + +--R - 6cos(b x + a) + 5 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 +--R 6cos(c - a)cos(b x + a) + 5cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 6cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R - cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 5 4 +--R - 18cos(c - a)cos(b x + a) - 15cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 18cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R + +--R 3cos(c - a) +--R * +--R cos(b x + c) +--R + +--R 6 5 4 +--R 12cos(b x + a) + 24cos(b x + a) + 5cos(b x + a) +--R + +--R 3 2 +--R - 24cos(b x + a) - 22cos(b x + a) - 2cos(b x + a) + 3 +--R * +--R sin(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 2 3 +--R 4cos(c - a)cos(b x + a) sec(b x + c) - 12cos(b x + a) +--R + +--R 2 +--R - 12cos(b x + a) + 4cos(b x + a) + 10 +--R * +--R 4 +--R sin(b x + a) +--R + +--R 4 3 +--R - 9cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R - 4cos(c - a)cos(b x + a) + cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 5 4 3 +--R - 4cos(b x + a) - cos(b x + a) - 10cos(b x + a) +--R + +--R 2 +--R 2cos(b x + a) + 9cos(b x + a) - 8 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 2 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 7 6 5 +--R 8cos(b x + a) + 11cos(b x + a) - 8cos(b x + a) +--R + +--R 4 3 +--R - 11cos(b x + a) + 3cos(b x + a) - 3cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R - 4cos(c - a)cos(b x + a) sec(b x + c) +--R + +--R 2 3 +--R 12cos(c - a)cos(b x + a) cos(b x + c) + 12cos(b x + a) +--R + +--R 2 +--R 12cos(b x + a) - 4cos(b x + a) - 10 +--R * +--R 4 +--R sin(b x + a) +--R + +--R 4 3 +--R 9cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 4cos(c - a)cos(b x + a) - cos(c - a) +--R * +--R sec(b x + c) +--R + +--R 4 3 +--R - 27cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R - 12cos(c - a)cos(b x + a) + 3cos(c - a) +--R * +--R cos(b x + c) +--R + +--R 5 4 3 2 +--R 4cos(b x + a) + cos(b x + a) + 10cos(b x + a) - 2cos(b x + a) +--R + +--R - 9cos(b x + a) + 8 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 2 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 +--R 3cos(c - a)cos(b x + a) + 3cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R * +--R cos(b x + c) +--R + +--R 7 6 5 4 +--R - 8cos(b x + a) - 11cos(b x + a) + 8cos(b x + a) + 11cos(b x + a) +--R + +--R 3 +--R - 3cos(b x + a) + 3cos(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 5 +--R 10sin(b x + a) +--R + +--R 2 +--R (4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a)) +--R * +--R sec(b x + c) +--R + +--R 3 2 +--R - 8cos(b x + a) - 24cos(b x + a) - 2cos(b x + a) - 5 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 +--R - cos(c - a)cos(b x + a) + 6cos(c - a)cos(b x + a) +--R + +--R 2 +--R 6cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 5 4 3 +--R - 8cos(b x + a) - 4cos(b x + a) + 16cos(b x + a) +--R + +--R 2 +--R 19cos(b x + a) + 4cos(b x + a) - 3 +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 5 +--R - 10sin(b x + a) +--R + +--R 2 +--R (- 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a)) +--R * +--R sec(b x + c) +--R + +--R 2 +--R (12cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a)) +--R * +--R cos(b x + c) +--R + +--R 3 2 +--R 8cos(b x + a) + 24cos(b x + a) + 2cos(b x + a) + 5 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 +--R cos(c - a)cos(b x + a) - 6cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 6cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 4 3 +--R - 3cos(c - a)cos(b x + a) + 18cos(c - a)cos(b x + a) +--R + +--R 2 +--R 18cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R * +--R cos(b x + c) +--R + +--R 5 4 3 +--R 8cos(b x + a) + 4cos(b x + a) - 16cos(b x + a) +--R + +--R 2 +--R - 19cos(b x + a) - 4cos(b x + a) + 3 +--R * +--R sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 3 +--R 4cos(c - a)cos(b x + a) sec(b x + c) - 12cos(b x + a) +--R + +--R 2 +--R - 16cos(b x + a) - 12cos(b x + a) + 2 +--R * +--R 4 +--R sin(b x + a) +--R + +--R 4 3 +--R - 9cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R 6cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 5 4 3 +--R - 4cos(b x + a) - 5cos(b x + a) + cos(b x + a) +--R + +--R 2 +--R 3cos(b x + a) + 16cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 7 6 5 +--R 8cos(b x + a) + 11cos(b x + a) - 5cos(b x + a) +--R + +--R 4 3 2 +--R - 14cos(b x + a) - 5cos(b x + a) + cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R - 4cos(c - a)cos(b x + a) sec(b x + c) +--R + +--R 2 3 +--R 12cos(c - a)cos(b x + a) cos(b x + c) + 12cos(b x + a) +--R + +--R 2 +--R 16cos(b x + a) + 12cos(b x + a) - 2 +--R * +--R 4 +--R sin(b x + a) +--R + +--R 4 3 +--R 9cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 6cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 4 3 +--R - 27cos(c - a)cos(b x + a) - 24cos(c - a)cos(b x + a) +--R + +--R 2 +--R 18cos(c - a)cos(b x + a) +--R * +--R cos(b x + c) +--R + +--R 5 4 3 2 +--R 4cos(b x + a) + 5cos(b x + a) - cos(b x + a) - 3cos(b x + a) +--R + +--R - 16cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 +--R 3cos(c - a)cos(b x + a) + 3cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 6cos(c - a)cos(b x + a) - 6cos(c - a)cos(b x + a) +--R * +--R cos(b x + c) +--R + +--R 7 6 5 4 +--R - 8cos(b x + a) - 11cos(b x + a) + 5cos(b x + a) + 14cos(b x + a) +--R + +--R 3 2 +--R 5cos(b x + a) - cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 5 +--R (- 4cos(b x + a) + 2)sin(b x + a) +--R + +--R 3 4 +--R - 8cos(c - a)cos(b x + a) sec(b x + c) + 8cos(b x + a) +--R + +--R 3 2 +--R 16cos(b x + a) - 7cos(b x + a) - 4cos(b x + a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 +--R 6cos(c - a)cos(b x + a) + 5cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 4 +--R 12cos(b x + a) + 16cos(b x + a) + cos(b x + a) +--R + +--R 3 2 +--R - 6cos(b x + a) - 5cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 5 +--R (4cos(b x + a) - 2)sin(b x + a) +--R + +--R 3 +--R 8cos(c - a)cos(b x + a) sec(b x + c) +--R + +--R 3 4 +--R - 24cos(c - a)cos(b x + a) cos(b x + c) - 8cos(b x + a) +--R + +--R 3 2 +--R - 16cos(b x + a) + 7cos(b x + a) + 4cos(b x + a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 +--R - 6cos(c - a)cos(b x + a) - 5cos(c - a)cos(b x + a) +--R + +--R 3 +--R 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 5 4 +--R 18cos(c - a)cos(b x + a) + 15cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 6cos(c - a)cos(b x + a) +--R * +--R cos(b x + c) +--R + +--R 6 5 4 +--R - 12cos(b x + a) - 16cos(b x + a) - cos(b x + a) +--R + +--R 3 2 +--R 6cos(b x + a) + 5cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 3 4 +--R (4cos(b x + a) - 4cos(b x + a))sin(b x + a) +--R + +--R 4 5 +--R 5cos(c - a)cos(b x + a) sec(b x + c) + 4cos(b x + a) +--R + +--R 4 3 2 +--R - 3cos(b x + a) + 8cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R (- cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) )sec(b x + c) +--R + +--R 6 5 4 +--R - 3cos(b x + a) - 2cos(b x + a) + cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 4 +--R (- 4cos(b x + a) + 4cos(b x + a))sin(b x + a) +--R + +--R 4 +--R - 5cos(c - a)cos(b x + a) sec(b x + c) +--R + +--R 4 5 +--R 15cos(c - a)cos(b x + a) cos(b x + c) - 4cos(b x + a) +--R + +--R 4 3 2 +--R 3cos(b x + a) - 8cos(b x + a) - 2cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R (cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) )sec(b x + c) +--R + +--R 6 5 +--R (- 3cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) )cos(b x + c) +--R + +--R 6 5 4 +--R 3cos(b x + a) + 2cos(b x + a) - cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 3 +--R 2cos(b x + a) sin(b x + a) +--R + +--R 5 4 +--R (- cos(c - a)cos(b x + a) sec(b x + c) - 2cos(b x + a) )sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 3 +--R - 2cos(b x + a) sin(b x + a) +--R + +--R 5 +--R cos(c - a)cos(b x + a) sec(b x + c) +--R + +--R 5 4 +--R - 3cos(c - a)cos(b x + a) cos(b x + c) + 2cos(b x + a) +--R * +--R sin(b x + a) +--R / +--R 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a)sin(b x + c) +--R + +--R 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 4 3 2 +--R 10cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R - 8cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 3 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 2 +--R - 10cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R 8cos(b x + a) - 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R 2cos(b x + a) + 2cos(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 3 2 +--R (16cos(b x + a) + 8cos(b x + a) - 8cos(b x + a)) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 14cos(b x + a) - 10cos(b x + a) + 16cos(b x + a) +--R + +--R 2 +--R 8cos(b x + a) - 2cos(b x + a) + 2 +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 3 +--R (- 16cos(b x + a) - 8cos(b x + a) + 8cos(b x + a))sin(b x + a) +--R + +--R 5 4 3 +--R 14cos(b x + a) + 10cos(b x + a) - 16cos(b x + a) +--R + +--R 2 +--R - 8cos(b x + a) + 2cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 4 +--R 8cos(b x + a) sin(b x + a) +--R + +--R 4 3 2 +--R - 28cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R - 8cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 +--R 4cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R - 8cos(b x + a) sin(b x + a) +--R + +--R 4 3 2 +--R 28cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R 8cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 +--R - 4cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) + 2cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 2 3 +--R (- 16cos(b x + a) + 8cos(b x + a) )sin(b x + a) +--R + +--R 5 4 3 +--R 14cos(b x + a) - 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R 12cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 3 +--R (16cos(b x + a) - 8cos(b x + a) )sin(b x + a) +--R + +--R 5 4 3 +--R - 14cos(b x + a) + 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R - 12cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 4 3 2 +--R (10cos(b x + a) - 16cos(b x + a) )sin(b x + a) +--R + +--R 6 5 3 +--R - 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 2 +--R (- 10cos(b x + a) + 16cos(b x + a) )sin(b x + a) +--R + +--R 6 5 3 +--R 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 5 4 2 +--R (- 2cos(b x + a) + 10cos(b x + a) )sin(b x + a)sin(b x + c) +--R + +--R 5 4 +--R (2cos(b x + a) - 10cos(b x + a) )sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 5 2 5 +--R - 2cos(b x + a) sin(b x + c) + 2cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2 +--R * +--R 2 +--R sin(b x + a)sin(b x + c) +--R + +--R 5 4 3 2 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) +--R + +--R 2cos(b x + a) + 2 +--R * +--R sin(b x + a) +--R * +--R 8 +--R tan(c - a) +--R + +--R 4 3 2 +--R - 10cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R 8cos(b x + a) - 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R 2cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 2 +--R 10cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R - 8cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R - 2cos(b x + a) - 2cos(b x + a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 3 2 3 +--R (- 16cos(b x + a) - 8cos(b x + a) + 8cos(b x + a))sin(b x + a) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 10cos(b x + a) - 12cos(b x + a) +--R + +--R 2 +--R - 8cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 3 +--R (16cos(b x + a) + 8cos(b x + a) - 8cos(b x + a))sin(b x + a) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 10cos(b x + a) + 12cos(b x + a) +--R + +--R 2 +--R 8cos(b x + a) + 2 +--R * +--R sin(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 2 4 +--R - 8cos(b x + a) sin(b x + a) +--R + +--R 4 3 +--R (18cos(b x + a) + 8cos(b x + a) + 8cos(b x + a) - 2) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 2 +--R - 2cos(b x + a) - 2cos(b x + a) + 2cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R 8cos(b x + a) sin(b x + a) +--R + +--R 4 3 2 +--R (- 18cos(b x + a) - 8cos(b x + a) - 8cos(b x + a) + 2)sin(b x + a) +--R + +--R 6 5 2 +--R 2cos(b x + a) + 2cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 3 +--R (- 8cos(b x + a) + 8cos(b x + a))sin(b x + a) +--R + +--R 4 3 2 +--R 2cos(b x + a) - 12cos(b x + a) - 12cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 3 +--R (8cos(b x + a) - 8cos(b x + a))sin(b x + a) +--R + +--R 4 3 2 +--R - 2cos(b x + a) + 12cos(b x + a) + 12cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 4 +--R - 8cos(b x + a) sin(b x + a) +--R + +--R 4 3 2 +--R (18cos(b x + a) + 16cos(b x + a) - 12cos(b x + a) ) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) + 4cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R 8cos(b x + a) sin(b x + a) +--R + +--R 4 3 2 2 +--R (- 18cos(b x + a) - 16cos(b x + a) + 12cos(b x + a) )sin(b x + a) +--R + +--R 6 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 3 +--R 16cos(b x + a) sin(b x + a) +--R + +--R 5 4 3 +--R (- 12cos(b x + a) - 10cos(b x + a) + 4cos(b x + a) )sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 3 +--R - 16cos(b x + a) sin(b x + a) +--R + +--R 5 4 3 +--R (12cos(b x + a) + 10cos(b x + a) - 4cos(b x + a) )sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 4 2 6 5 +--R (- 10cos(b x + a) sin(b x + a) + 2cos(b x + a) + 2cos(b x + a) ) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 2 6 5 +--R 10cos(b x + a) sin(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 5 2 5 +--R 2cos(b x + a) sin(b x + a)sin(b x + c) - 2cos(b x + a) sin(b x + a) +--R Type: Expression Integer +--E 437 + +--S 438 of 532 +t0781:= sin(a+b*x)*cot(c+b*x) +--R +--R +--R (408) cot(b x + c)sin(b x + a) +--R Type: Expression Integer +--E 438 + +--S 439 of 532 +r0781:= -(atanh(cos(c+b*x))*sin(a-c)-sin(a+b*x))/b +--R +--R +--R sin(c - a)atanh(cos(b x + c)) + sin(b x + a) +--R (409) -------------------------------------------- +--R b +--R Type: Expression Integer +--E 439 + +--S 440 of 532 +a0781:= integrate(t0781,x) +--R +--R +--R (410) +--R tan(c - a) +--R * +--R log +--R 2 +--R (- tan(c - a) + sin(b x + a)tan(c - a) - cos(b x + a) - 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R sin(b x + a)tan(c - a) + (- cos(b x + a) - 1)tan(c - a) +--R + +--R sin(b x + a)tan(c - a) - cos(b x + a) - 1 +--R / +--R cos(b x + a)tan(c - a) + sin(b x + a) +--R + +--R +---------------+ +--R | 2 +--R sin(b x + a)\|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R b\|tan(c - a) + 1 +--R Type: Union(Expression Integer,...) +--E 440 + +--S 441 of 532 +m0781:= a0781-r0781 +--R +--R +--R (411) +--R tan(c - a) +--R * +--R log +--R 2 +--R (- tan(c - a) + sin(b x + a)tan(c - a) - cos(b x + a) - 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R sin(b x + a)tan(c - a) + (- cos(b x + a) - 1)tan(c - a) +--R + +--R sin(b x + a)tan(c - a) - cos(b x + a) - 1 +--R / +--R cos(b x + a)tan(c - a) + sin(b x + a) +--R + +--R +---------------+ +--R | 2 +--R - sin(c - a)atanh(cos(b x + c))\|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R b\|tan(c - a) + 1 +--R Type: Expression Integer +--E 441 + +--S 442 of 532 +d0781:= D(m0781,x) +--R +--R +--R (412) +--R - cos(b x + a)sin(c - a)sin(b x + c) +--R + +--R 2 2 2 2 +--R (- cos(b x + c) + 1)sin(b x + a) - cos(b x + a) cos(b x + c) +--R + +--R 2 +--R cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R (cos(b x + a) - 1)sin(c - a)sin(b x + a)sin(b x + c) +--R + +--R 2 +--R (cos(b x + c) - 1)sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 +--R sin(c - a)sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) - cos(b x + a))sin(c - a) +--R * +--R sin(b x + c) +--R + +--R 2 2 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 2 2 +--R (- cos(b x + a) - cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R tan(c - a) +--R + +--R (- cos(b x + a) - 1)sin(c - a)sin(b x + a)sin(b x + c) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R cos(b x + a)sin(c - a)sin(b x + a)sin(b x + c) +--R + +--R 2 +--R (cos(b x + c) - 1)sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 +--R sin(c - a)sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) - cos(b x + a))sin(c - a) +--R * +--R sin(b x + c) +--R + +--R 2 2 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 2 2 +--R (- cos(b x + a) - cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R - sin(c - a)sin(b x + a)sin(b x + c) +--R + +--R 2 +--R (cos(b x + c) - 1)sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 +--R sin(c - a)sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) - cos(b x + a))sin(c - a) +--R * +--R sin(b x + c) +--R + +--R 2 2 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 2 2 +--R (- cos(b x + a) - cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R tan(c - a) +--R + +--R (- cos(b x + a) - 1)sin(c - a)sin(b x + a)sin(b x + c) +--R / +--R 2 3 +--R (cos(b x + a)cos(b x + c) - cos(b x + a))tan(c - a) +--R + +--R 2 +--R ((- cos(b x + a) + 1)cos(b x + c) + cos(b x + a) - 1)sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 2 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 2 2 +--R (cos(b x + a) + cos(b x + a))cos(b x + c) - cos(b x + a) +--R + +--R - cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R ((cos(b x + a) + 1)cos(b x + c) - cos(b x + a) - 1)sin(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 2 4 +--R (- cos(b x + a)cos(b x + c) + cos(b x + a))sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 2 2 +--R (cos(b x + a) + cos(b x + a))cos(b x + c) - cos(b x + a) +--R + +--R - cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 2 +--R (cos(b x + c) - 1)sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 2 2 +--R (cos(b x + a) + cos(b x + a))cos(b x + c) - cos(b x + a) +--R + +--R - cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R ((cos(b x + a) + 1)cos(b x + c) - cos(b x + a) - 1)sin(b x + a) +--R Type: Expression Integer +--E 442 + +--S 443 of 532 +t0782:= sin(a+b*x)*cot(c+b*x)^2 +--R +--R +--R 2 +--R (413) cot(b x + c) sin(b x + a) +--R Type: Expression Integer +--E 443 + +--S 444 of 532 +r0782:= -atanh(cos(c+b*x))*cos(a-c)/b+cos(a+b*x)/b-csc(c+b*x)*sin(a-c)/b +--R +--R +--R (414) +--R - cos(c - a)atanh(cos(b x + c)) + csc(b x + c)sin(c - a) + cos(b x + a) +--R ----------------------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 444 + +--S 445 of 532 +a0782:= integrate(t0782,x) +--R +--R +--R (415) +--R (cos(b x + a)tan(c - a) + sin(b x + a)) +--R * +--R log +--R 2 +--R (- tan(c - a) + sin(b x + a)tan(c - a) - cos(b x + a) - 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R - sin(b x + a)tan(c - a) + (cos(b x + a) + 1)tan(c - a) +--R + +--R - sin(b x + a)tan(c - a) + cos(b x + a) + 1 +--R / +--R cos(b x + a)tan(c - a) + sin(b x + a) +--R + +--R 2 +--R (cos(b x + a) + 2cos(b x + a) + 1)tan(c - a) +--R + +--R (cos(b x + a) + 2)sin(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R (b cos(b x + a)tan(c - a) + b sin(b x + a))\|tan(c - a) + 1 +--R Type: Union(Expression Integer,...) +--E 445 + +--S 446 of 532 +m0782:= a0782-r0782 +--R +--R +--R (416) +--R (cos(b x + a)tan(c - a) + sin(b x + a)) +--R * +--R log +--R 2 +--R (- tan(c - a) + sin(b x + a)tan(c - a) - cos(b x + a) - 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R - sin(b x + a)tan(c - a) + (cos(b x + a) + 1)tan(c - a) +--R + +--R - sin(b x + a)tan(c - a) + cos(b x + a) + 1 +--R / +--R cos(b x + a)tan(c - a) + sin(b x + a) +--R + +--R (cos(c - a)cos(b x + a)tan(c - a) + cos(c - a)sin(b x + a)) +--R * +--R atanh(cos(b x + c)) +--R + +--R (- cos(b x + a)csc(b x + c)sin(c - a) + 2cos(b x + a) + 1)tan(c - a) +--R + +--R (- csc(b x + c)sin(c - a) + 2)sin(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R (b cos(b x + a)tan(c - a) + b sin(b x + a))\|tan(c - a) + 1 +--R Type: Expression Integer +--E 446 + +--S 447 of 532 +d0782:= D(m0782,x) +--R +--R +--R (417) +--R 2 +--R cos(c - a)cos(b x + a) sin(b x + c) +--R + +--R 2 +--R (cos(b x + c) - 1)sin(b x + a) +--R + +--R 2 2 2 +--R (cos(b x + a) cos(b x + c) - cos(b x + a) )cot(b x + c) +--R * +--R csc(b x + c)sin(c - a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 +--R (- cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a)) +--R * +--R sin(b x + a)sin(b x + c) +--R + +--R 2 2 +--R ((cos(b x + a) - 1)cos(b x + c) - cos(b x + a) + 1)sin(b x + a) +--R + +--R 2 2 +--R (- cos(b x + a) + 2cos(b x + a))cos(b x + c) +--R + +--R 2 +--R cos(b x + a) - 2cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a)sin(b x + a) +--R + +--R 3 2 3 +--R (cos(b x + a) - cos(b x + a))cos(b x + c) - cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 +--R (- 2cos(c - a)cos(b x + a) + cos(c - a))sin(b x + a) +--R + +--R 3 2 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 3 +--R (cos(b x + c) - 1)sin(b x + a) +--R + +--R 2 +--R ((- 2cos(b x + a) + 1)cos(b x + c) + 2cos(b x + a) - 1) +--R * +--R 2 +--R cot(b x + c)csc(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 2 +--R (cos(b x + a) + cos(b x + a) + 1)cos(b x + c) +--R + +--R 2 +--R - cos(b x + a) - cos(b x + a) - 1 +--R * +--R sin(b x + a) +--R + +--R 3 2 2 3 +--R (cos(b x + a) + cos(b x + a) )cos(b x + c) - cos(b x + a) +--R + +--R 2 +--R - cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 3 +--R - cos(c - a)sin(b x + a) +--R + +--R 2 +--R (2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a)) +--R * +--R sin(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 +--R (- cos(b x + c) + 1)cot(b x + c)csc(b x + c)sin(c - a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 2 2 +--R ((cos(b x + a) - 1)cos(b x + c) - cos(b x + a) + 1)sin(b x + a) +--R + +--R 2 2 +--R (2cos(b x + a) + 2cos(b x + a))cos(b x + c) +--R + +--R 2 +--R - 2cos(b x + a) - 2cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a)sin(b x + a) +--R + +--R 3 2 3 +--R (cos(b x + a) - cos(b x + a))cos(b x + c) - cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R (cos(c - a)cos(b x + a) + cos(c - a))sin(b x + a) sin(b x + c) +--R + +--R 2 3 +--R (cos(b x + c) - 1)sin(b x + a) +--R + +--R 2 +--R ((cos(b x + a) + 1)cos(b x + c) - cos(b x + a) - 1)cot(b x + c) +--R * +--R 2 +--R csc(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 2 2 +--R (cos(b x + a) + cos(b x + a))cos(b x + c) - cos(b x + a) +--R + +--R - cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 2 +--R cos(c - a)cos(b x + a) sin(b x + a)sin(b x + c) +--R + +--R 2 2 +--R (cos(b x + c) - 1)sin(b x + a) +--R + +--R 2 2 2 +--R (cos(b x + a) cos(b x + c) - cos(b x + a) )cot(b x + c) +--R * +--R csc(b x + c)sin(c - a)sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 3 +--R 2cos(c - a)cos(b x + a)sin(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 2 +--R - cos(c - a)cos(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 +--R (2cos(b x + a)cos(b x + c) - 2cos(b x + a))cot(b x + c) +--R * +--R 2 +--R csc(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R ((- cos(b x + a) - 1)cos(b x + c) + cos(b x + a) + 1)sin(b x + a) +--R + +--R 3 2 2 3 +--R (- cos(b x + a) - cos(b x + a) )cos(b x + c) + cos(b x + a) +--R + +--R 2 +--R cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 +--R cos(c - a)sin(b x + a) +--R + +--R 2 +--R (- cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a))sin(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 3 +--R (cos(b x + c) - 1)cot(b x + c)csc(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 2 +--R ((- cos(b x + a) + 2)cos(b x + c) + cos(b x + a) - 2)sin(b x + a) +--R + +--R 2 2 2 +--R (- cos(b x + a) - 2cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a)sin(b x + a) +--R + +--R 3 2 3 +--R (- cos(b x + a) + cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R - cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 +--R (cos(c - a)cos(b x + a) - cos(c - a))sin(b x + a) +--R + +--R 3 2 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 3 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 +--R ((cos(b x + a) - 1)cos(b x + c) - cos(b x + a) + 1)cot(b x + c) +--R * +--R 2 +--R csc(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 2 +--R (- cos(b x + a) - 2cos(b x + a) - 1)cos(b x + c) +--R + +--R 2 +--R cos(b x + a) + 2cos(b x + a) + 1 +--R * +--R sin(b x + a) +--R + +--R 3 2 2 3 +--R (- cos(b x + a) - cos(b x + a) )cos(b x + c) + cos(b x + a) +--R + +--R 2 +--R cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 3 +--R cos(c - a)sin(b x + a) +--R + +--R 2 +--R (- 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a))sin(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 3 +--R (cos(b x + c) - 1)cot(b x + c)csc(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 2 +--R ((- cos(b x + a) + 1)cos(b x + c) + cos(b x + a) - 1)sin(b x + a) +--R + +--R 2 2 2 +--R (- 2cos(b x + a) - 2cos(b x + a))cos(b x + c) + 2cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a)sin(b x + a) +--R + +--R 3 2 3 +--R (- cos(b x + a) + cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R - cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R (- cos(c - a)cos(b x + a) - cos(c - a))sin(b x + a) sin(b x + c) +--R + +--R 2 3 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 +--R ((- cos(b x + a) - 1)cos(b x + c) + cos(b x + a) + 1)cot(b x + c) +--R * +--R 2 +--R csc(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 2 2 +--R (- cos(b x + a) - cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R sin(b x + a) +--R / +--R 2 2 2 4 +--R (cos(b x + a) cos(b x + c) - cos(b x + a) )tan(c - a) +--R + +--R 2 2 2 +--R (- cos(b x + a) + 2cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R 3 +--R sin(b x + a)tan(c - a) +--R + +--R 2 +--R ((- 2cos(b x + a) + 1)cos(b x + c) + 2cos(b x + a) - 1) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 3 2 2 3 +--R (cos(b x + a) + cos(b x + a) )cos(b x + c) - cos(b x + a) +--R + +--R 2 +--R - cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 3 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 2 +--R (2cos(b x + a) + 2cos(b x + a))cos(b x + c) +--R + +--R 2 +--R - 2cos(b x + a) - 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 2 +--R ((cos(b x + a) + 1)cos(b x + c) - cos(b x + a) - 1)sin(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 2 2 2 5 +--R (cos(b x + a) cos(b x + c) - cos(b x + a) )sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R (2cos(b x + a)cos(b x + c) - 2cos(b x + a))sin(b x + a) +--R + +--R 3 2 2 3 +--R (- cos(b x + a) - cos(b x + a) )cos(b x + c) + cos(b x + a) +--R + +--R 2 +--R cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 3 +--R (cos(b x + c) - 1)sin(b x + a) +--R + +--R 2 2 2 +--R (- cos(b x + a) - 2cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 2 +--R ((cos(b x + a) - 1)cos(b x + c) - cos(b x + a) + 1)sin(b x + a) +--R + +--R 3 2 2 3 +--R (- cos(b x + a) - cos(b x + a) )cos(b x + c) + cos(b x + a) +--R + +--R 2 +--R cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 3 +--R (cos(b x + c) - 1)sin(b x + a) +--R + +--R 2 2 2 +--R (- 2cos(b x + a) - 2cos(b x + a))cos(b x + c) + 2cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 2 +--R ((- cos(b x + a) - 1)cos(b x + c) + cos(b x + a) + 1)sin(b x + a) +--R Type: Expression Integer +--E 447 + +--S 448 of 532 +t0783:= sin(a+b*x)*cot(c+b*x)^3 +--R +--R +--R 3 +--R (418) cot(b x + c) sin(b x + a) +--R Type: Expression Integer +--E 448 + +--S 449 of 532 +r0783:= -cos(a-c)*csc(c+b*x)/b+3/2*atanh(cos(c+b*x))*sin(a-c)/b-1/2*cot(c+b*x)*csc(c+b*x)*sin(a-c)/b-sin(a+b*x)/b +--R +--R +--R (419) +--R - 3sin(c - a)atanh(cos(b x + c)) - 2sin(b x + a) +--R + +--R cot(b x + c)csc(b x + c)sin(c - a) - 2cos(c - a)csc(b x + c) +--R / +--R 2b +--R Type: Expression Integer +--E 449 + +--S 450 of 532 +a0783:= integrate(t0783,x) +--R +--R +--R (420) +--R 2 4 3 +--R 3cos(b x + a) tan(c - a) + 6cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R (- 3cos(b x + a) + 3)tan(c - a) +--R * +--R log +--R 2 +--R (- tan(c - a) + sin(b x + a)tan(c - a) - cos(b x + a) - 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R - sin(b x + a)tan(c - a) + (cos(b x + a) + 1)tan(c - a) +--R + +--R - sin(b x + a)tan(c - a) + cos(b x + a) + 1 +--R / +--R cos(b x + a)tan(c - a) + sin(b x + a) +--R + +--R 2 3 +--R (- 2cos(b x + a) - 1)sin(b x + a)tan(c - a) +--R + +--R 3 2 2 +--R (4cos(b x + a) - cos(b x + a) - 5cos(b x + a))tan(c - a) +--R + +--R 2 +--R (2cos(b x + a) - 2cos(b x + a) - 4)sin(b x + a)tan(c - a) +--R + +--R 2 +--R cos(b x + a) - 1 +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R 2 3 2 +--R 2b cos(b x + a) tan(c - a) + 4b cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 +--R (- 2b cos(b x + a) + 2b)tan(c - a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R Type: Union(Expression Integer,...) +--E 450 + +--S 451 of 532 +m0783:= a0783-r0783 +--R +--R +--R (421) +--R 2 4 3 +--R 3cos(b x + a) tan(c - a) + 6cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R (- 3cos(b x + a) + 3)tan(c - a) +--R * +--R log +--R 2 +--R (- tan(c - a) + sin(b x + a)tan(c - a) - cos(b x + a) - 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R - sin(b x + a)tan(c - a) + (cos(b x + a) + 1)tan(c - a) +--R + +--R - sin(b x + a)tan(c - a) + cos(b x + a) + 1 +--R / +--R cos(b x + a)tan(c - a) + sin(b x + a) +--R + +--R 2 3 +--R 3cos(b x + a) sin(c - a)tan(c - a) +--R + +--R 2 +--R 6cos(b x + a)sin(c - a)sin(b x + a)tan(c - a) +--R + +--R 2 +--R (- 3cos(b x + a) + 3)sin(c - a)tan(c - a) +--R * +--R atanh(cos(b x + c)) +--R + +--R 2 +--R - sin(b x + a) - cos(b x + a) cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 2 +--R 2cos(c - a)cos(b x + a) csc(b x + c) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 +--R 4cos(b x + a)sin(b x + a) +--R + +--R - 2cos(b x + a)cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 4cos(c - a)cos(b x + a)csc(b x + c) +--R * +--R sin(b x + a) +--R + +--R 3 2 +--R 4cos(b x + a) - cos(b x + a) - 5cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R (- 2cos(b x + a) - 2)sin(b x + a) +--R + +--R 2 +--R (cos(b x + a) - 1)cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 2 +--R (- 2cos(c - a)cos(b x + a) + 2cos(c - a))csc(b x + c) +--R * +--R tan(c - a) +--R + +--R 2 +--R cos(b x + a) - 1 +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R 2 3 2 +--R 2b cos(b x + a) tan(c - a) + 4b cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 +--R (- 2b cos(b x + a) + 2b)tan(c - a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R Type: Expression Integer +--E 451 + +--S 452 of 532 +--d0783:= D(m0783,x) +--E 452 + +--S 453 of 532 +t0784:= sin(a+b*x)*sec(c+b*x) +--R +--R +--R (422) sec(b x + c)sin(b x + a) +--R Type: Expression Integer +--E 453 + +--S 454 of 532 +r0784:= -cos(a-c)*log(cos(c+b*x))/b+x*sin(a-c) +--R +--R +--R - cos(c - a)log(cos(b x + c)) - b x sin(c - a) +--R (423) ---------------------------------------------- +--R b +--R Type: Expression Integer +--E 454 + +--S 455 of 532 +a0784:= integrate(t0784,x) +--R +--R +--R (424) +--R c - a 2 2 +--R (- tan(-----) + 1)log(----------------) +--R 2 cos(b x + c) + 1 +--R + +--R c - a 2 2cos(b x + c) c - a +--R (tan(-----) - 1)log(- ----------------) - 2b x tan(-----) +--R 2 cos(b x + c) + 1 2 +--R / +--R c - a 2 +--R b tan(-----) + b +--R 2 +--R Type: Union(Expression Integer,...) +--E 455 + +--S 456 of 532 +m0784:= a0784-r0784 +--R +--R +--R (425) +--R c - a 2 +--R (cos(c - a)tan(-----) + cos(c - a))log(cos(b x + c)) +--R 2 +--R + +--R c - a 2 2 +--R (- tan(-----) + 1)log(----------------) +--R 2 cos(b x + c) + 1 +--R + +--R c - a 2 2cos(b x + c) c - a 2 +--R (tan(-----) - 1)log(- ----------------) + b x sin(c - a)tan(-----) +--R 2 cos(b x + c) + 1 2 +--R + +--R c - a +--R - 2b x tan(-----) + b x sin(c - a) +--R 2 +--R / +--R c - a 2 +--R b tan(-----) + b +--R 2 +--R Type: Expression Integer +--E 456 + +--S 457 of 532 +d0784:= D(m0784,x) +--R +--R +--R (426) +--R c - a 2 +--R ((- cos(c - a) - 1)sin(b x + c) + cos(b x + c)sin(c - a))tan(-----) +--R 2 +--R + +--R c - a +--R - 2cos(b x + c)tan(-----) + (- cos(c - a) + 1)sin(b x + c) +--R 2 +--R + +--R cos(b x + c)sin(c - a) +--R / +--R c - a 2 +--R cos(b x + c)tan(-----) + cos(b x + c) +--R 2 +--R Type: Expression Integer +--E 457 + +--S 458 of 532 +t0785:= sin(a+b*x)*sec(c+b*x)^2 +--R +--R +--R 2 +--R (427) sec(b x + c) sin(b x + a) +--R Type: Expression Integer +--E 458 + +--S 459 of 532 +r0785:= cos(a-c)*sec(c+b*x)/b+atanh(sin(c+b*x))*sin(a-c)/b +--R +--R +--R - sin(c - a)atanh(sin(b x + c)) + cos(c - a)sec(b x + c) +--R (428) -------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 459 + +--S 460 of 532 +a0785:= integrate(t0785,x) +--R +--R +--R (429) +--R c - a sin(b x + c) + cos(b x + c) + 1 +--R - 2cos(b x + c)tan(-----)log(-------------------------------) +--R 2 cos(b x + c) + 1 +--R + +--R c - a sin(b x + c) - cos(b x + c) - 1 +--R 2cos(b x + c)tan(-----)log(-------------------------------) +--R 2 cos(b x + c) + 1 +--R + +--R c - a 2 +--R (- cos(b x + c) - 1)tan(-----) + cos(b x + c) + 1 +--R 2 +--R / +--R c - a 2 +--R b cos(b x + c)tan(-----) + b cos(b x + c) +--R 2 +--R Type: Union(Expression Integer,...) +--E 460 + +--S 461 of 532 +m0785:= a0785-r0785 +--R +--R +--R (430) +--R c - a sin(b x + c) + cos(b x + c) + 1 +--R - 2cos(b x + c)tan(-----)log(-------------------------------) +--R 2 cos(b x + c) + 1 +--R + +--R c - a sin(b x + c) - cos(b x + c) - 1 +--R 2cos(b x + c)tan(-----)log(-------------------------------) +--R 2 cos(b x + c) + 1 +--R + +--R c - a 2 +--R (cos(b x + c)sin(c - a)tan(-----) + cos(b x + c)sin(c - a)) +--R 2 +--R * +--R atanh(sin(b x + c)) +--R + +--R c - a 2 +--R (- cos(c - a)cos(b x + c)sec(b x + c) - cos(b x + c) - 1)tan(-----) +--R 2 +--R + +--R - cos(c - a)cos(b x + c)sec(b x + c) + cos(b x + c) + 1 +--R / +--R c - a 2 +--R b cos(b x + c)tan(-----) + b cos(b x + c) +--R 2 +--R Type: Expression Integer +--E 461 + +--S 462 of 532 +d0785:= D(m0785,x) +--R +--R +--R (431) +--R 2 4 +--R - cos(c - a)cos(b x + c) sec(b x + c)sin(b x + c) +--R + +--R 4 3 +--R cos(c - a)cos(b x + c) + 2cos(c - a)cos(b x + c) +--R + +--R 2 +--R 2cos(c - a)cos(b x + c) +--R * +--R 2 +--R sec(b x + c)sin(b x + c) +--R + +--R 4 3 +--R - cos(c - a)cos(b x + c) - 2cos(c - a)cos(b x + c) +--R + +--R 2 +--R - cos(c - a)cos(b x + c) +--R * +--R sec(b x + c) +--R * +--R c - a 2 +--R tan(-----) +--R 2 +--R + +--R 2 4 +--R - cos(c - a)cos(b x + c) sec(b x + c)sin(b x + c) +--R + +--R 4 3 +--R cos(c - a)cos(b x + c) + 2cos(c - a)cos(b x + c) +--R + +--R 2 +--R 2cos(c - a)cos(b x + c) +--R * +--R 2 +--R sec(b x + c)sin(b x + c) +--R + +--R 4 3 +--R - cos(c - a)cos(b x + c) - 2cos(c - a)cos(b x + c) +--R + +--R 2 +--R - cos(c - a)cos(b x + c) +--R * +--R sec(b x + c) +--R * +--R tan(b x + c) +--R + +--R 5 2 3 +--R - sin(b x + c) + (cos(b x + c) + 2cos(b x + c) + 2)sin(b x + c) +--R + +--R 3 2 +--R - cos(b x + c) sin(c - a)sin(b x + c) +--R + +--R 2 +--R (- cos(b x + c) - 2cos(b x + c) - 1)sin(b x + c) +--R + +--R 5 4 3 +--R (cos(b x + c) + 2cos(b x + c) + cos(b x + c) )sin(c - a) +--R * +--R c - a 2 +--R tan(-----) +--R 2 +--R + +--R 2 4 +--R 4cos(b x + c) sin(b x + c) +--R + +--R 4 3 2 2 +--R (4cos(b x + c) + 4cos(b x + c) - 4cos(b x + c) )sin(b x + c) +--R + +--R 4 3 +--R - 4cos(b x + c) - 4cos(b x + c) +--R * +--R c - a +--R tan(-----) +--R 2 +--R + +--R 5 2 3 +--R sin(b x + c) + (- cos(b x + c) - 2cos(b x + c) - 2)sin(b x + c) +--R + +--R 3 2 +--R - cos(b x + c) sin(c - a)sin(b x + c) +--R + +--R 2 +--R (cos(b x + c) + 2cos(b x + c) + 1)sin(b x + c) +--R + +--R 5 4 3 +--R (cos(b x + c) + 2cos(b x + c) + cos(b x + c) )sin(c - a) +--R / +--R 2 4 +--R cos(b x + c) sin(b x + c) +--R + +--R 4 3 2 2 +--R (- cos(b x + c) - 2cos(b x + c) - 2cos(b x + c) )sin(b x + c) +--R + +--R 4 3 2 +--R cos(b x + c) + 2cos(b x + c) + cos(b x + c) +--R * +--R c - a 2 +--R tan(-----) +--R 2 +--R + +--R 2 4 +--R cos(b x + c) sin(b x + c) +--R + +--R 4 3 2 2 +--R (- cos(b x + c) - 2cos(b x + c) - 2cos(b x + c) )sin(b x + c) +--R + +--R 4 3 2 +--R cos(b x + c) + 2cos(b x + c) + cos(b x + c) +--R Type: Expression Integer +--E 462 + +--S 463 of 532 +t0786:= sin(a+b*x)*sec(c+b*x)^3 +--R +--R +--R 3 +--R (432) sec(b x + c) sin(b x + a) +--R Type: Expression Integer +--E 463 + +--S 464 of 532 +r0786:= 1/2*cos(a-c)*sec(c+b*x)^2/b+sin(a-c)*tan(c+b*x)/b +--R +--R +--R 2 +--R - 2sin(c - a)tan(b x + c) + cos(c - a)sec(b x + c) +--R (433) --------------------------------------------------- +--R 2b +--R Type: Expression Integer +--E 464 + +--S 465 of 532 +a0786:= integrate(t0786,x) +--R +--R +--R (434) +--R 2 c - a 2 c - a +--R (cos(b x + c) - 1)tan(-----) - 4cos(b x + c)sin(b x + c)tan(-----) +--R 2 2 +--R + +--R 2 +--R - cos(b x + c) + 1 +--R / +--R 2 c - a 2 2 +--R 2b cos(b x + c) tan(-----) + 2b cos(b x + c) +--R 2 +--R Type: Union(Expression Integer,...) +--E 465 + +--S 466 of 532 +m0786:= a0786-r0786 +--R +--R +--R (435) +--R 2 c - a 2 2 +--R (2cos(b x + c) sin(c - a)tan(-----) + 2cos(b x + c) sin(c - a)) +--R 2 +--R * +--R tan(b x + c) +--R + +--R 2 2 2 c - a 2 +--R (- cos(c - a)cos(b x + c) sec(b x + c) + cos(b x + c) - 1)tan(-----) +--R 2 +--R + +--R c - a +--R - 4cos(b x + c)sin(b x + c)tan(-----) +--R 2 +--R + +--R 2 2 2 +--R - cos(c - a)cos(b x + c) sec(b x + c) - cos(b x + c) + 1 +--R / +--R 2 c - a 2 2 +--R 2b cos(b x + c) tan(-----) + 2b cos(b x + c) +--R 2 +--R Type: Expression Integer +--E 466 + +--S 467 of 532 +d0786:= D(m0786,x) +--R +--R +--R (436) +--R 3 c - a 2 3 +--R (cos(b x + c) sin(c - a)tan(-----) + cos(b x + c) sin(c - a)) +--R 2 +--R * +--R 2 +--R tan(b x + c) +--R + +--R 3 2 c - a 2 +--R - cos(c - a)cos(b x + c) sec(b x + c) tan(-----) +--R 2 +--R + +--R 3 2 +--R - cos(c - a)cos(b x + c) sec(b x + c) +--R * +--R tan(b x + c) +--R + +--R 3 c - a 2 +--R (- sin(b x + c) + cos(b x + c) sin(c - a))tan(-----) +--R 2 +--R + +--R 2 3 c - a +--R (- 2cos(b x + c)sin(b x + c) - 2cos(b x + c) )tan(-----) + sin(b x + c) +--R 2 +--R + +--R 3 +--R cos(b x + c) sin(c - a) +--R / +--R 3 c - a 2 3 +--R cos(b x + c) tan(-----) + cos(b x + c) +--R 2 +--R Type: Expression Integer +--E 467 + +--S 468 of 532 +t0787:= sin(a+b*x)*csc(c+b*x) +--R +--R +--R (437) csc(b x + c)sin(b x + a) +--R Type: Expression Integer +--E 468 + +--S 469 of 532 +r0787:= x*cos(a-c)+log(sin(c+b*x))*sin(a-c)/b +--R +--R +--R - sin(c - a)log(sin(b x + c)) + b x cos(c - a) +--R (438) ---------------------------------------------- +--R b +--R Type: Expression Integer +--E 469 + +--S 470 of 532 +a0787:= integrate(t0787,x) +--R +--R +--R (439) +--R c - a sin(b x + c) c - a 2 +--R - 2tan(-----)log(----------------) + 2tan(-----)log(----------------) +--R 2 cos(b x + c) + 1 2 cos(b x + c) + 1 +--R + +--R c - a 2 +--R - b x tan(-----) + b x +--R 2 +--R / +--R c - a 2 +--R b tan(-----) + b +--R 2 +--R Type: Union(Expression Integer,...) +--E 470 + +--S 471 of 532 +m0787:= a0787-r0787 +--R +--R +--R (440) +--R c - a 2 +--R (sin(c - a)tan(-----) + sin(c - a))log(sin(b x + c)) +--R 2 +--R + +--R c - a sin(b x + c) c - a 2 +--R - 2tan(-----)log(----------------) + 2tan(-----)log(----------------) +--R 2 cos(b x + c) + 1 2 cos(b x + c) + 1 +--R + +--R c - a 2 +--R (- b x cos(c - a) - b x)tan(-----) - b x cos(c - a) + b x +--R 2 +--R / +--R c - a 2 +--R b tan(-----) + b +--R 2 +--R Type: Expression Integer +--E 471 + +--S 472 of 532 +d0787:= D(m0787,x) +--R +--R +--R (441) +--R c - a 2 +--R ((- cos(c - a) - 1)sin(b x + c) + cos(b x + c)sin(c - a))tan(-----) +--R 2 +--R + +--R c - a +--R - 2cos(b x + c)tan(-----) + (- cos(c - a) + 1)sin(b x + c) +--R 2 +--R + +--R cos(b x + c)sin(c - a) +--R / +--R c - a 2 +--R sin(b x + c)tan(-----) + sin(b x + c) +--R 2 +--R Type: Expression Integer +--E 472 + +--S 473 of 532 +t0788:= sin(a+b*x)*csc(c+b*x)^2 +--R +--R +--R 2 +--R (442) csc(b x + c) sin(b x + a) +--R Type: Expression Integer +--E 473 + +--S 474 of 532 +r0788:= -atanh(cos(c+b*x))*cos(a-c)/b-csc(c+b*x)*sin(a-c)/b +--R +--R +--R - cos(c - a)atanh(cos(b x + c)) + csc(b x + c)sin(c - a) +--R (443) -------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 474 + +--S 475 of 532 +a0788:= integrate(t0788,x) +--R +--R +--R (444) +--R c - a 2 sin(b x + c) c - a +--R (- sin(b x + c)tan(-----) + sin(b x + c))log(----------------) + 2tan(-----) +--R 2 cos(b x + c) + 1 2 +--R ----------------------------------------------------------------------------- +--R c - a 2 +--R b sin(b x + c)tan(-----) + b sin(b x + c) +--R 2 +--R Type: Union(Expression Integer,...) +--E 475 + +--S 476 of 532 +m0788:= a0788-r0788 +--R +--R +--R (445) +--R c - a 2 sin(b x + c) +--R (- sin(b x + c)tan(-----) + sin(b x + c))log(----------------) +--R 2 cos(b x + c) + 1 +--R + +--R c - a 2 +--R (cos(c - a)sin(b x + c)tan(-----) + cos(c - a)sin(b x + c)) +--R 2 +--R * +--R atanh(cos(b x + c)) +--R + +--R c - a 2 c - a +--R - csc(b x + c)sin(c - a)sin(b x + c)tan(-----) + 2tan(-----) +--R 2 2 +--R + +--R - csc(b x + c)sin(c - a)sin(b x + c) +--R / +--R c - a 2 +--R b sin(b x + c)tan(-----) + b sin(b x + c) +--R 2 +--R Type: Expression Integer +--E 476 + +--S 477 of 532 +d0788:= D(m0788,x) +--R +--R +--R (446) +--R 3 +--R (- cos(b x + c) + cos(c - a) + 1)sin(b x + c) +--R + +--R 2 2 +--R (cos(b x + c) - 1)cot(b x + c)csc(b x + c)sin(c - a)sin(b x + c) +--R + +--R 3 +--R (- cos(b x + c) + cos(b x + c))sin(b x + c) +--R * +--R c - a 2 +--R tan(-----) +--R 2 +--R + +--R 3 c - a +--R (- 2cos(b x + c) + 2cos(b x + c))tan(-----) +--R 2 +--R + +--R 3 +--R (cos(b x + c) + cos(c - a) - 1)sin(b x + c) +--R + +--R 2 2 +--R (cos(b x + c) - 1)cot(b x + c)csc(b x + c)sin(c - a)sin(b x + c) +--R + +--R 3 +--R (cos(b x + c) - cos(b x + c))sin(b x + c) +--R / +--R 2 2 c - a 2 +--R (cos(b x + c) - 1)sin(b x + c) tan(-----) +--R 2 +--R + +--R 2 2 +--R (cos(b x + c) - 1)sin(b x + c) +--R Type: Expression Integer +--E 477 + +--S 478 of 532 +t0789:= sin(a+b*x)*csc(c+b*x)^3 +--R +--R +--R 3 +--R (447) csc(b x + c) sin(b x + a) +--R Type: Expression Integer +--E 478 + +--S 479 of 532 +r0789:= -cos(a-c)*cot(c+b*x)/b-1/2*csc(c+b*x)^2*sin(a-c)/b +--R +--R +--R 2 +--R csc(b x + c) sin(c - a) - 2cos(c - a)cot(b x + c) +--R (448) ------------------------------------------------- +--R 2b +--R Type: Expression Integer +--E 479 + +--S 480 of 532 +a0789:= integrate(t0789,x) +--R +--R +--R (449) +--R c - a 2 2 c - a +--R - 2cos(b x + c)sin(b x + c)tan(-----) + (- cos(b x + c) - 1)tan(-----) +--R 2 2 +--R + +--R 2cos(b x + c)sin(b x + c) +--R / +--R 2 c - a 2 2 +--R (2b cos(b x + c) - 2b)tan(-----) + 2b cos(b x + c) - 2b +--R 2 +--R Type: Union(Expression Integer,...) +--E 480 + +--S 481 of 532 +m0789:= a0789-r0789 +--R +--R +--R (450) +--R - 2cos(b x + c)sin(b x + c) +--R + +--R 2 2 +--R (- cos(b x + c) + 1)csc(b x + c) sin(c - a) +--R + +--R 2 +--R (2cos(c - a)cos(b x + c) - 2cos(c - a))cot(b x + c) +--R * +--R c - a 2 +--R tan(-----) +--R 2 +--R + +--R 2 c - a +--R (- cos(b x + c) - 1)tan(-----) + 2cos(b x + c)sin(b x + c) +--R 2 +--R + +--R 2 2 +--R (- cos(b x + c) + 1)csc(b x + c) sin(c - a) +--R + +--R 2 +--R (2cos(c - a)cos(b x + c) - 2cos(c - a))cot(b x + c) +--R / +--R 2 c - a 2 2 +--R (2b cos(b x + c) - 2b)tan(-----) + 2b cos(b x + c) - 2b +--R 2 +--R Type: Expression Integer +--E 481 + +--S 482 of 532 +d0789:= D(m0789,x) +--R +--R +--R (451) +--R 2 2 +--R (- cos(b x + c) - 1)sin(b x + c) +--R + +--R 4 2 2 +--R (cos(b x + c) - 2cos(b x + c) + 1)cot(b x + c)csc(b x + c) +--R * +--R sin(c - a) +--R + +--R 4 2 +--R (- cos(c - a)cos(b x + c) + 2cos(c - a)cos(b x + c) - cos(c - a)) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 4 2 +--R (- cos(c - a) - 1)cos(b x + c) + (2cos(c - a) + 1)cos(b x + c) +--R + +--R - cos(c - a) +--R * +--R c - a 2 +--R tan(-----) +--R 2 +--R + +--R c - a 2 2 +--R - 2cos(b x + c)sin(b x + c)tan(-----) + (cos(b x + c) + 1)sin(b x + c) +--R 2 +--R + +--R 4 2 2 +--R (cos(b x + c) - 2cos(b x + c) + 1)cot(b x + c)csc(b x + c) sin(c - a) +--R + +--R 4 2 +--R (- cos(c - a)cos(b x + c) + 2cos(c - a)cos(b x + c) - cos(c - a)) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 4 2 +--R (- cos(c - a) + 1)cos(b x + c) + (2cos(c - a) - 1)cos(b x + c) +--R + +--R - cos(c - a) +--R / +--R 4 2 c - a 2 4 +--R (cos(b x + c) - 2cos(b x + c) + 1)tan(-----) + cos(b x + c) +--R 2 +--R + +--R 2 +--R - 2cos(b x + c) + 1 +--R Type: Expression Integer +--E 482 + +--S 483 of 532 +t0790:= cos(a+b*x)*tan(c+b*x) +--R +--R +--R (452) cos(b x + a)tan(b x + c) +--R Type: Expression Integer +--E 483 + +--S 484 of 532 +r0790:= -(cos(a+b*x)+atanh(sin(c+b*x))*sin(a-c))/b +--R +--R +--R sin(c - a)atanh(sin(b x + c)) - cos(b x + a) +--R (453) -------------------------------------------- +--R b +--R Type: Expression Integer +--E 484 + +--S 485 of 532 +a0790:= integrate(t0790,x) +--R +--R +--R (454) +--R tan(c - a) +--R * +--R log +--R 2 +--R ((cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) + 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R (cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) +--R + +--R (cos(b x + a) + 1)tan(c - a) + sin(b x + a) +--R / +--R sin(b x + a)tan(c - a) - cos(b x + a) +--R + +--R +---------------+ +--R | 2 +--R - cos(b x + a)\|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R b\|tan(c - a) + 1 +--R Type: Union(Expression Integer,...) +--E 485 + +--S 486 of 532 +m0790:= a0790-r0790 +--R +--R +--R (455) +--R tan(c - a) +--R * +--R log +--R 2 +--R ((cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) + 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R (cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) +--R + +--R (cos(b x + a) + 1)tan(c - a) + sin(b x + a) +--R / +--R sin(b x + a)tan(c - a) - cos(b x + a) +--R + +--R +---------------+ +--R | 2 +--R - sin(c - a)atanh(sin(b x + c))\|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R b\|tan(c - a) + 1 +--R Type: Expression Integer +--E 486 + +--S 487 of 532 +d0790:= D(m0790,x) +--R +--R +--R (456) +--R 2 2 2 +--R (- sin(b x + a) - cos(b x + a) - cos(b x + a))sin(b x + c) +--R + +--R 2 +--R sin(b x + a) +--R + +--R (cos(b x + a) + 1)cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R cos(b x + a) + cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 2 +--R - sin(b x + a)sin(b x + c) + cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) - cos(b x + a))cos(b x + c)sin(c - a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 2 2 2 +--R (- sin(b x + a) - cos(b x + a) )sin(b x + c) + sin(b x + a) +--R + +--R (- cos(b x + a) + 1)cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R cos(b x + a) +--R * +--R tan(c - a) +--R + +--R - cos(b x + a)cos(b x + c)sin(c - a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 2 2 2 +--R (- sin(b x + a) - cos(b x + a) - cos(b x + a))sin(b x + c) +--R + +--R 2 +--R sin(b x + a) + (cos(b x + a) + 1)cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R cos(b x + a) + cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 2 +--R - sin(b x + a)sin(b x + c) + cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R sin(b x + a) + (- cos(b x + a) - cos(b x + a))cos(b x + c)sin(c - a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 2 2 +--R (- sin(b x + a) - cos(b x + a) - cos(b x + a))sin(b x + c) +--R + +--R 2 2 +--R sin(b x + a) + cos(b x + c)sin(c - a)sin(b x + a) + cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 2 +--R - sin(b x + a)sin(b x + c) + cos(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R sin(b x + a) + (- cos(b x + a) - cos(b x + a))cos(b x + c)sin(c - a) +--R * +--R tan(c - a) +--R + +--R - cos(b x + a)cos(b x + c)sin(c - a)sin(b x + a) +--R / +--R 2 +--R (cos(b x + a) + 1)sin(b x + a)sin(b x + c) +--R + +--R (- cos(b x + a) - 1)sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 2 2 +--R (sin(b x + a) - cos(b x + a) - cos(b x + a))sin(b x + c) +--R + +--R 2 2 +--R - sin(b x + a) + cos(b x + a) + cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 +--R (- cos(b x + a) + 1)sin(b x + a)sin(b x + c) +--R + +--R (cos(b x + a) - 1)sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R - cos(b x + a)sin(b x + c) + cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 2 +--R (cos(b x + a) + 1)sin(b x + a)sin(b x + c) +--R + +--R (- cos(b x + a) - 1)sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 2 2 +--R (sin(b x + a) - cos(b x + a) - cos(b x + a))sin(b x + c) +--R + +--R 2 2 +--R - sin(b x + a) + cos(b x + a) + cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 2 +--R (sin(b x + a)sin(b x + c) - sin(b x + a))tan(c - a) +--R + +--R 2 2 2 +--R (sin(b x + a) - cos(b x + a) - cos(b x + a))sin(b x + c) +--R + +--R 2 2 +--R - sin(b x + a) + cos(b x + a) + cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R - cos(b x + a)sin(b x + a)sin(b x + c) + cos(b x + a)sin(b x + a) +--R Type: Expression Integer +--E 487 + +--S 488 of 532 +t0791:= cos(a+b*x)*tan(c+b*x)^2 +--R +--R +--R 2 +--R (457) cos(b x + a)tan(b x + c) +--R Type: Expression Integer +--E 488 + +--S 489 of 532 +r0791:= atanh(sin(c+b*x))*cos(a-c)/b-sec(c+b*x)*sin(a-c)/b-sin(a+b*x)/b +--R +--R +--R (458) +--R cos(c - a)atanh(sin(b x + c)) - sin(b x + a) + sec(b x + c)sin(c - a) +--R --------------------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 489 + +--S 490 of 532 +a0791:= integrate(t0791,x) +--R +--R +--R (459) +--R (sin(b x + a)tan(c - a) - cos(b x + a)) +--R * +--R log +--R 2 +--R ((cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) + 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R (cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) +--R + +--R (cos(b x + a) + 1)tan(c - a) + sin(b x + a) +--R / +--R sin(b x + a)tan(c - a) - cos(b x + a) +--R + +--R 2 +--R sin(b x + a)tan(c - a) +--R + +--R 2 +--R (cos(b x + a) - cos(b x + a) - 2)tan(c - a) + cos(b x + a)sin(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R (b sin(b x + a)tan(c - a) - b cos(b x + a))\|tan(c - a) + 1 +--R Type: Union(Expression Integer,...) +--E 490 + +--S 491 of 532 +m0791:= a0791-r0791 +--R +--R +--R (460) +--R (sin(b x + a)tan(c - a) - cos(b x + a)) +--R * +--R log +--R 2 +--R ((cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) + 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R (cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) +--R + +--R (cos(b x + a) + 1)tan(c - a) + sin(b x + a) +--R / +--R sin(b x + a)tan(c - a) - cos(b x + a) +--R + +--R (- cos(c - a)sin(b x + a)tan(c - a) + cos(c - a)cos(b x + a)) +--R * +--R atanh(sin(b x + c)) +--R + +--R 2 +--R sin(b x + a)tan(c - a) +--R + +--R 2 +--R sin(b x + a) - sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R cos(b x + a) - cos(b x + a) - 2 +--R * +--R tan(c - a) +--R + +--R cos(b x + a)sec(b x + c)sin(c - a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R (b sin(b x + a)tan(c - a) - b cos(b x + a))\|tan(c - a) + 1 +--R Type: Expression Integer +--E 491 + +--S 492 of 532 +d0791:= D(m0791,x) +--R +--R +--R (461) +--R 2 +--R (- cos(b x + a) - 1)sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R (cos(b x + a) + 1)sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 +--R - sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R (2cos(b x + a) + 2cos(b x + a))sec(b x + c)sin(c - a) +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R (- 2cos(b x + a) - 2cos(b x + a))sec(b x + c)sin(c - a) +--R * +--R sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 +--R (2cos(b x + a) - 1)sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 3 2 +--R (- cos(b x + a) - cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R (- 2cos(b x + a) + 1)sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 3 2 +--R (cos(b x + a) + cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 +--R (- cos(b x + a) + 2cos(b x + a))sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + a)sin(b x + c) +--R + +--R 2 +--R (cos(b x + a) - 2cos(b x + a))sec(b x + c)sin(c - a) +--R * +--R sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 2 +--R - cos(b x + a) sec(b x + c)sin(c - a)sin(b x + c) +--R + +--R 2 +--R cos(b x + a) sec(b x + c)sin(c - a) +--R * +--R tan(b x + c) +--R + +--R 2 2 4 +--R (- cos(b x + a) - cos(b x + a))sin(b x + a) - cos(b x + a) +--R + +--R 3 2 +--R - cos(b x + a) + 2cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R (cos(c - a)cos(b x + a) + cos(c - a))cos(b x + c) +--R + +--R 2 +--R cos(b x + a) + cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 4 3 2 +--R cos(b x + a) + cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 +--R (- 2cos(b x + a) - 2)sin(b x + a) +--R + +--R 3 2 +--R (- 2cos(b x + a) - 2cos(b x + a) + 3cos(b x + a) + 2) +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R (cos(c - a)cos(b x + c) + 2cos(b x + a) + 2)sin(b x + a) +--R + +--R 2 +--R (- 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a)) +--R * +--R cos(b x + c) +--R + +--R 3 2 +--R 2cos(b x + a) + 2cos(b x + a) - 3cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 4 2 2 +--R - sin(b x + a) + (- cos(b x + a) + 1)sin(b x + a) +--R + +--R 2 +--R cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 +--R sin(b x + a) +--R + +--R (- 2cos(c - a)cos(b x + a) + cos(c - a))cos(b x + c) +--R + +--R 2 +--R cos(b x + a) - 1 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 3 2 +--R (cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) )cos(b x + c) +--R + +--R 2 +--R - cos(b x + a) - 2cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 3 +--R - 2sin(b x + a) +--R + +--R 2 +--R (- 2cos(b x + a) + cos(b x + a) + 2)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R 2sin(b x + a) +--R + +--R 2 +--R (cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a)) +--R * +--R cos(b x + c) +--R + +--R 2 +--R 2cos(b x + a) - cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 3 2 +--R (cos(b x + a)sin(b x + a) + cos(b x + a) )sin(b x + c) +--R + +--R 2 2 +--R - cos(b x + a)sin(b x + a) + cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 3 +--R - cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 2 +--R (- cos(b x + a) - 1)sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R (cos(b x + a) + 1)sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 3 +--R - sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R (2cos(b x + a) + 2cos(b x + a))sec(b x + c)sin(c - a) +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R (- 2cos(b x + a) - 2cos(b x + a))sec(b x + c)sin(c - a) +--R * +--R sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 +--R (cos(b x + a) - 1)sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 3 2 +--R (- cos(b x + a) - cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R (- cos(b x + a) + 1)sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 3 2 +--R (cos(b x + a) + cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 +--R - sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R (cos(b x + a) + 2cos(b x + a))sec(b x + c)sin(c - a) +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) - 2cos(b x + a))sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 +--R 2cos(b x + a)sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 3 2 +--R (- cos(b x + a) - cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R - 2cos(b x + a)sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 3 2 +--R (cos(b x + a) + cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R tan(c - a) +--R + +--R 2 2 +--R - cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a)sin(b x + c) +--R + +--R 2 +--R cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R tan(b x + c) +--R + +--R 2 2 4 +--R (- cos(b x + a) - cos(b x + a))sin(b x + a) - cos(b x + a) +--R + +--R 3 2 +--R - cos(b x + a) + 2cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R (cos(c - a)cos(b x + a) + cos(c - a))cos(b x + c) + cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 4 3 2 +--R cos(b x + a) + cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 3 +--R (- 2cos(b x + a) - 2)sin(b x + a) +--R + +--R 3 2 +--R (- 2cos(b x + a) - 2cos(b x + a) + 3cos(b x + a) + 2)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R (cos(c - a)cos(b x + c) + 2cos(b x + a) + 2)sin(b x + a) +--R + +--R 2 +--R (- 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a)) +--R * +--R cos(b x + c) +--R + +--R 3 2 +--R 2cos(b x + a) + 2cos(b x + a) - 3cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 4 2 2 +--R - sin(b x + a) + (- 2cos(b x + a) + 1)sin(b x + a) +--R + +--R 4 2 +--R - cos(b x + a) + 3cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 +--R sin(b x + a) +--R + +--R (- cos(c - a)cos(b x + a) + cos(c - a))cos(b x + c) +--R + +--R 2 +--R 2cos(b x + a) - 1 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 3 2 +--R (cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) )cos(b x + c) +--R + +--R 4 2 +--R cos(b x + a) - 3cos(b x + a) - 2cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 +--R (- 2cos(b x + a) - 2)sin(b x + a) +--R + +--R 3 2 +--R (- 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) + 2)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R (cos(c - a)cos(b x + c) + 2cos(b x + a) + 2)sin(b x + a) +--R + +--R 2 +--R (- cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a))cos(b x + c) +--R + +--R 3 2 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 4 +--R - sin(b x + a) +--R + +--R 2 2 3 +--R (- cos(b x + a) + cos(b x + a) + 1)sin(b x + a) + cos(b x + a) +--R + +--R 2 +--R cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 +--R sin(b x + a) +--R + +--R 2 +--R - 2cos(c - a)cos(b x + a)cos(b x + c) + cos(b x + a) +--R + +--R - cos(b x + a) - 1 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 3 2 +--R (cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) )cos(b x + c) +--R + +--R 3 2 +--R - cos(b x + a) - cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R cos(b x + a)sin(b x + a)sin(b x + c) +--R + +--R 2 +--R (cos(c - a)cos(b x + a) cos(b x + c) - cos(b x + a))sin(b x + a) +--R / +--R 2 2 +--R (cos(b x + a) + 1)sin(b x + a) sin(b x + c) +--R + +--R 2 +--R (- cos(b x + a) - 1)sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 +--R sin(b x + a) +--R + +--R 2 +--R (- 2cos(b x + a) - 2cos(b x + a))sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R - sin(b x + a) + (2cos(b x + a) + 2cos(b x + a))sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 3 +--R (- 2cos(b x + a) + 1)sin(b x + a) + cos(b x + a) +--R + +--R 2 +--R cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 3 2 +--R (2cos(b x + a) - 1)sin(b x + a) - cos(b x + a) - cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 2 +--R (cos(b x + a) - 2cos(b x + a))sin(b x + a)sin(b x + c) +--R + +--R 2 +--R (- cos(b x + a) + 2cos(b x + a))sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 2 2 +--R cos(b x + a) sin(b x + c) - cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 2 2 +--R (cos(b x + a) + 1)sin(b x + a) sin(b x + c) +--R + +--R 2 +--R (- cos(b x + a) - 1)sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 3 2 +--R (sin(b x + a) + (- 2cos(b x + a) - 2cos(b x + a))sin(b x + a)) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R - sin(b x + a) + (2cos(b x + a) + 2cos(b x + a))sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 3 2 +--R ((- cos(b x + a) + 1)sin(b x + a) + cos(b x + a) + cos(b x + a) ) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 3 2 +--R (cos(b x + a) - 1)sin(b x + a) - cos(b x + a) - cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 2 +--R (sin(b x + a) + (- cos(b x + a) - 2cos(b x + a))sin(b x + a)) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R - sin(b x + a) + (cos(b x + a) + 2cos(b x + a))sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 3 2 +--R (- 2cos(b x + a)sin(b x + a) + cos(b x + a) + cos(b x + a) ) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 3 2 +--R 2cos(b x + a)sin(b x + a) - cos(b x + a) - cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 2 2 +--R cos(b x + a) sin(b x + a)sin(b x + c) - cos(b x + a) sin(b x + a) +--R Type: Expression Integer +--E 492 + +--S 493 of 532 +t0792:= cos(a+b*x)*tan(c+b*x)^3 +--R +--R +--R 3 +--R (462) cos(b x + a)tan(b x + c) +--R Type: Expression Integer +--E 493 + +--S 494 of 532 +r0792:= cos(a+b*x)/b+cos(a-c)*sec(c+b*x)/b+3/2*atanh(sin(c+b*x))*sin(a-c)/b-1/2*sec(c+b*x)*sin(a-c)*tan(c+b*x)/b +--R +--R +--R (463) +--R - 3sin(c - a)atanh(sin(b x + c)) + sec(b x + c)sin(c - a)tan(b x + c) +--R + +--R 2cos(c - a)sec(b x + c) + 2cos(b x + a) +--R / +--R 2b +--R Type: Expression Integer +--E 494 + +--S 495 of 532 +a0792:= integrate(t0792,x) +--R +--R +--R (464) +--R 2 3 +--R (3cos(b x + a) - 3)tan(c - a) +--R + +--R 2 2 +--R 6cos(b x + a)sin(b x + a)tan(c - a) - 3cos(b x + a) tan(c - a) +--R * +--R log +--R 2 +--R ((cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) + 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R (- cos(b x + a) - 1)tan(c - a) - sin(b x + a)tan(c - a) +--R + +--R (- cos(b x + a) - 1)tan(c - a) - sin(b x + a) +--R / +--R sin(b x + a)tan(c - a) - cos(b x + a) +--R + +--R 2 4 3 +--R (cos(b x + a) - 1)tan(c - a) + 2cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 3 2 2 +--R (2cos(b x + a) + 3cos(b x + a) - 3cos(b x + a) - 4)tan(c - a) +--R + +--R 2 +--R (4cos(b x + a) + 8cos(b x + a) + 1)sin(b x + a)tan(c - a) +--R + +--R 3 2 +--R - 2cos(b x + a) - 4cos(b x + a) - 2cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R 2 2 +--R (2b cos(b x + a) - 2b)tan(c - a) +--R + +--R 2 +--R 4b cos(b x + a)sin(b x + a)tan(c - a) - 2b cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R Type: Union(Expression Integer,...) +--E 495 + +--S 496 of 532 +m0792:= a0792-r0792 +--R +--R +--R (465) +--R 2 3 +--R (3cos(b x + a) - 3)tan(c - a) +--R + +--R 2 2 +--R 6cos(b x + a)sin(b x + a)tan(c - a) - 3cos(b x + a) tan(c - a) +--R * +--R log +--R 2 +--R ((cos(b x + a) + 1)tan(c - a) + sin(b x + a)tan(c - a) + 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R (- cos(b x + a) - 1)tan(c - a) - sin(b x + a)tan(c - a) +--R + +--R (- cos(b x + a) - 1)tan(c - a) - sin(b x + a) +--R / +--R sin(b x + a)tan(c - a) - cos(b x + a) +--R + +--R 2 2 +--R (3cos(b x + a) - 3)sin(c - a)tan(c - a) +--R + +--R 6cos(b x + a)sin(c - a)sin(b x + a)tan(c - a) +--R + +--R 2 +--R - 3cos(b x + a) sin(c - a) +--R * +--R atanh(sin(b x + c)) +--R + +--R 2 2 +--R (- cos(b x + a) + 1)sec(b x + c)sin(c - a)tan(c - a) +--R + +--R - 2cos(b x + a)sec(b x + c)sin(c - a)sin(b x + a)tan(c - a) +--R + +--R 2 +--R cos(b x + a) sec(b x + c)sin(c - a) +--R * +--R tan(b x + c) +--R + +--R 2 4 3 +--R (cos(b x + a) - 1)tan(c - a) + 2cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 +--R (- 2cos(c - a)cos(b x + a) + 2cos(c - a))sec(b x + c) +--R + +--R 2 +--R 3cos(b x + a) - cos(b x + a) - 4 +--R * +--R 2 +--R tan(c - a) +--R + +--R (- 4cos(c - a)cos(b x + a)sec(b x + c) + 8cos(b x + a) + 1) +--R * +--R sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R 2cos(c - a)cos(b x + a) sec(b x + c) - 4cos(b x + a) - 2cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R 2 2 +--R (2b cos(b x + a) - 2b)tan(c - a) +--R + +--R 2 +--R 4b cos(b x + a)sin(b x + a)tan(c - a) - 2b cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R Type: Expression Integer +--E 496 + +--S 497 of 532 +d0792:= D(m0792,x) +--R +--R +--R (466) +--R 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a)sin(b x + c) +--R + +--R 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 4 3 2 +--R - 10cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R 8cos(b x + a) - 2 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 3 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 2 +--R 10cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R - 8cos(b x + a) + 2 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 3 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 3 2 +--R (- 16cos(b x + a) - 8cos(b x + a) + 8cos(b x + a)) +--R * +--R 3 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R 14cos(b x + a) + 10cos(b x + a) - 16cos(b x + a) +--R + +--R 2 +--R - 8cos(b x + a) + 2cos(b x + a) - 2 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R (16cos(b x + a) + 8cos(b x + a) - 8cos(b x + a)) +--R * +--R 3 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R - 14cos(b x + a) - 10cos(b x + a) + 16cos(b x + a) +--R + +--R 2 +--R 8cos(b x + a) - 2cos(b x + a) + 2 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 4 +--R - 8cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R 28cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R 8cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R - 4cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R 8cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R - 28cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R - 8cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R 4cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 2 +--R (16cos(b x + a) - 8cos(b x + a) )sec(b x + c) +--R * +--R 3 +--R sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R - 14cos(b x + a) + 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R - 12cos(b x + a) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R (- 16cos(b x + a) + 8cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 3 +--R 14cos(b x + a) - 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R 12cos(b x + a) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 4 3 +--R (- 10cos(b x + a) + 16cos(b x + a) )sec(b x + c) +--R * +--R 2 +--R sin(c - a)sin(b x + a) +--R + +--R 6 5 3 +--R (2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) ) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 +--R (10cos(b x + a) - 16cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 3 +--R (- 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) ) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 5 4 +--R (2cos(b x + a) - 10cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + a)sin(b x + c) +--R + +--R 5 4 +--R (- 2cos(b x + a) + 10cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 5 2 +--R 2cos(b x + a) sec(b x + c)sin(c - a)sin(b x + c) +--R + +--R 5 +--R - 2cos(b x + a) sec(b x + c)sin(c - a) +--R * +--R 2 +--R tan(b x + c) +--R + +--R 5 4 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a)sin(b x + c) +--R + +--R 5 4 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a)cos(b x + a) + 2cos(c - a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 4 +--R - 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 +--R 10cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 6 +--R tan(c - a) +--R + +--R 3 +--R - 16cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 8cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R 14cos(c - a)cos(b x + a) + 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 16cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 8cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R 16cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 8cos(c - a)cos(b x + a) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R - 14cos(c - a)cos(b x + a) - 10cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 16cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a)cos(b x + a) + 2cos(c - a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 4 +--R - 8cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R 28cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R - 4cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 4 +--R 4cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R 8cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R - 28cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R 4cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 4 +--R - 4cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 2 +--R (16cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) ) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 5 +--R - 14cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 2cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R (- 16cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) ) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R 14cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 4cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 4 +--R - 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R 16cos(c - a)cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 3 +--R 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 +--R (10cos(c - a)cos(b x + a) - 16cos(c - a)cos(b x + a) ) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R tan(c - a) +--R + +--R 5 4 +--R (2cos(c - a)cos(b x + a) - 10cos(c - a)cos(b x + a) ) +--R * +--R 2 +--R sec(b x + c)sin(b x + a)sin(b x + c) +--R + +--R 5 4 +--R (- 2cos(c - a)cos(b x + a) + 10cos(c - a)cos(b x + a) ) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 5 2 +--R 2cos(c - a)cos(b x + a) sec(b x + c)sin(b x + c) +--R + +--R 5 +--R - 2cos(c - a)cos(b x + a) sec(b x + c) +--R * +--R tan(b x + c) +--R + +--R 4 3 2 +--R 3cos(b x + a) - cos(b x + a) - 7cos(b x + a) +--R + +--R - cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - cos(b x + a) - cos(b x + a) + 2cos(b x + a) +--R + +--R 2 +--R 2cos(b x + a) - cos(b x + a) - 1 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R 3cos(b x + a) + 3cos(b x + a) - 6cos(b x + a) +--R + +--R 3 2 +--R - 6cos(b x + a) + 3cos(b x + a) + 3cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 2 +--R - 3cos(b x + a) + cos(b x + a) + 7cos(b x + a) +--R + +--R cos(b x + a) - 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R cos(b x + a) + cos(b x + a) - 2cos(b x + a) +--R + +--R 2 +--R - 2cos(b x + a) + cos(b x + a) + 1 +--R * +--R sec(b x + c) +--R + +--R 5 4 3 +--R - 3cos(b x + a) - 3cos(b x + a) + 6cos(b x + a) +--R + +--R 2 +--R 6cos(b x + a) - 3cos(b x + a) - 3 +--R * +--R cos(b x + c) +--R * +--R sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R - 3cos(b x + a) - 3cos(b x + a) + 6cos(b x + a) +--R + +--R 3 2 +--R 6cos(b x + a) - 3cos(b x + a) - 3cos(b x + a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 3 2 +--R (12cos(b x + a) + cos(b x + a) - 10cos(b x + a) - 1) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R - 5cos(b x + a) - 4cos(b x + a) + 6cos(b x + a) +--R + +--R 4cos(b x + a) - 1 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 19cos(b x + a) - 8cos(b x + a) +--R + +--R 2 +--R - 18cos(b x + a) + 3 +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R cos(b x + a) + cos(b x + a) - 2cos(b x + a) +--R + +--R 3 2 +--R - 2cos(b x + a) + cos(b x + a) + cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R (- 12cos(b x + a) - cos(b x + a) + 10cos(b x + a) + 1) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R 5cos(b x + a) + 4cos(b x + a) - 6cos(b x + a) +--R + +--R - 4cos(b x + a) + 1 +--R * +--R sec(b x + c) +--R + +--R 4 3 2 +--R - 15cos(b x + a) - 12cos(b x + a) + 18cos(b x + a) +--R + +--R 12cos(b x + a) - 3 +--R * +--R cos(b x + c) +--R * +--R 2 +--R sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 19cos(b x + a) + 8cos(b x + a) +--R + +--R 2 +--R 18cos(b x + a) - 3 +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R - cos(b x + a) - cos(b x + a) + 2cos(b x + a) +--R + +--R 3 2 +--R 2cos(b x + a) - cos(b x + a) - cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 4 +--R 3cos(b x + a) + 3cos(b x + a) - 6cos(b x + a) +--R + +--R 3 2 +--R - 6cos(b x + a) + 3cos(b x + a) + 3cos(b x + a) +--R * +--R cos(b x + c) +--R * +--R sin(c - a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 2 4 +--R (12cos(b x + a) + 4cos(b x + a) + 2)sin(b x + a) +--R + +--R 3 2 +--R (- 8cos(b x + a) - 4cos(b x + a) + 4cos(b x + a)) +--R * +--R 3 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R 9cos(b x + a) + 25cos(b x + a) - 4cos(b x + a) +--R + +--R - 14cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R 7cos(b x + a) + 5cos(b x + a) - 8cos(b x + a) +--R + +--R 2 +--R - 4cos(b x + a) + cos(b x + a) - 1 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R - 3cos(b x + a) - 9cos(b x + a) - 3cos(b x + a) +--R + +--R 3 2 +--R 7cos(b x + a) + 4cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R (- 12cos(b x + a) - 4cos(b x + a) - 2)sin(b x + a) +--R + +--R 3 2 +--R (8cos(b x + a) + 4cos(b x + a) - 4cos(b x + a))sec(b x + c) +--R + +--R 3 2 +--R (- 24cos(b x + a) - 12cos(b x + a) + 12cos(b x + a)) +--R * +--R cos(b x + c) +--R * +--R 3 +--R sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R - 9cos(b x + a) - 25cos(b x + a) + 4cos(b x + a) +--R + +--R 14cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 7cos(b x + a) - 5cos(b x + a) + 8cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) - cos(b x + a) + 1 +--R * +--R sec(b x + c) +--R + +--R 5 4 3 +--R 21cos(b x + a) + 15cos(b x + a) - 24cos(b x + a) +--R + +--R 2 +--R - 12cos(b x + a) + 3cos(b x + a) - 3 +--R * +--R cos(b x + c) +--R * +--R sin(c - a)sin(b x + a) +--R + +--R 6 5 4 3 +--R 3cos(b x + a) + 9cos(b x + a) + 3cos(b x + a) - 7cos(b x + a) +--R + +--R 2 +--R - 4cos(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 5 +--R 2sin(b x + a) +--R + +--R 2 4 +--R - 4cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 3 +--R (5cos(b x + a) - 14cos(b x + a) - 2)sin(b x + a) +--R + +--R 4 3 2 +--R 14cos(b x + a) + 4cos(b x + a) - 6cos(b x + a) +--R + +--R 4cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R - 17cos(b x + a) - 4cos(b x + a) + 9cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R - 2cos(b x + a) - cos(b x + a) + 2cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 5 +--R - 2sin(b x + a) +--R + +--R 2 2 +--R (4cos(b x + a) sec(b x + c) - 12cos(b x + a) cos(b x + c)) +--R * +--R 4 +--R sin(c - a)sin(b x + a) +--R + +--R 2 3 +--R (- 5cos(b x + a) + 14cos(b x + a) + 2)sin(b x + a) +--R + +--R 4 3 2 +--R - 14cos(b x + a) - 4cos(b x + a) + 6cos(b x + a) +--R + +--R - 4cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 4 3 2 +--R 42cos(b x + a) + 12cos(b x + a) - 18cos(b x + a) +--R + +--R 12cos(b x + a) +--R * +--R cos(b x + c) +--R * +--R 2 +--R sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R 17cos(b x + a) + 4cos(b x + a) - 9cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R 2cos(b x + a) + cos(b x + a) - 2cos(b x + a) +--R + +--R - cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 4 +--R - 6cos(b x + a) - 3cos(b x + a) + 6cos(b x + a) +--R + +--R 3cos(b x + a) +--R * +--R cos(b x + c) +--R * +--R sin(c - a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 4 +--R (12cos(b x + a) - 4cos(b x + a) + 2)sin(b x + a) +--R + +--R 3 2 +--R (8cos(b x + a) - 4cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R 9cos(b x + a) - 4cos(b x + a) + 7cos(b x + a) +--R + +--R 2cos(b x + a) - 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 7cos(b x + a) + cos(b x + a) + 2cos(b x + a) +--R + +--R 2 +--R - 6cos(b x + a) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 2 +--R - 3cos(b x + a) + cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R (- 12cos(b x + a) + 4cos(b x + a) - 2)sin(b x + a) +--R + +--R 3 2 +--R (- 8cos(b x + a) + 4cos(b x + a) )sec(b x + c) +--R + +--R 3 2 +--R (24cos(b x + a) - 12cos(b x + a) )cos(b x + c) +--R * +--R 3 +--R sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R - 9cos(b x + a) + 4cos(b x + a) - 7cos(b x + a) +--R + +--R - 2cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R 7cos(b x + a) - cos(b x + a) - 2cos(b x + a) +--R + +--R 2 +--R 6cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 5 4 3 +--R - 21cos(b x + a) + 3cos(b x + a) + 6cos(b x + a) +--R + +--R 2 +--R - 18cos(b x + a) +--R * +--R cos(b x + c) +--R * +--R sin(c - a)sin(b x + a) +--R + +--R 6 2 +--R 3cos(b x + a) - cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 2 +--R (- 12cos(b x + a) + 4cos(b x + a) - 4cos(b x + a)) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 +--R (- 5cos(b x + a) + 8cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 2cos(b x + a) + 2cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sin(b x + a) +--R + +--R 6 5 3 +--R (cos(b x + a) - cos(b x + a) + 2cos(b x + a) ) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 3 +--R (12cos(b x + a) - 4cos(b x + a) + 4cos(b x + a))sin(b x + a) +--R + +--R 4 3 +--R (5cos(b x + a) - 8cos(b x + a) )sec(b x + c) +--R + +--R 4 3 +--R (- 15cos(b x + a) + 24cos(b x + a) )cos(b x + c) +--R * +--R 2 +--R sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 2cos(b x + a) - 2cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sin(b x + a) +--R + +--R 6 5 3 +--R (- cos(b x + a) + cos(b x + a) - 2cos(b x + a) ) +--R * +--R sec(b x + c) +--R + +--R 6 5 3 +--R (3cos(b x + a) - 3cos(b x + a) + 6cos(b x + a) )cos(b x + c) +--R * +--R sin(c - a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 4 3 2 +--R (3cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) ) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 +--R (cos(b x + a) - 5cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R sin(b x + a) +--R + +--R 6 4 +--R 3cos(b x + a) - 3cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 2 2 +--R (- 3cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) )sin(b x + a) +--R + +--R 5 4 +--R (- cos(b x + a) + 5cos(b x + a) )sec(b x + c) +--R + +--R 5 4 +--R (3cos(b x + a) - 15cos(b x + a) )cos(b x + c) +--R * +--R sin(c - a)sin(b x + a) +--R + +--R 6 4 +--R - 3cos(b x + a) + 3cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 3 +--R - 2cos(b x + a) sin(b x + a) +--R + +--R 5 +--R cos(b x + a) sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 +--R 2cos(b x + a) sin(b x + a) +--R + +--R 5 5 +--R (- cos(b x + a) sec(b x + c) + 3cos(b x + a) cos(b x + c))sin(c - a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a)sin(b x + c) +--R + +--R 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 8 +--R tan(c - a) +--R + +--R 4 3 2 +--R 10cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R - 8cos(b x + a) + 2 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 3 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 2 +--R - 10cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R 8cos(b x + a) - 2 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 3 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 3 2 +--R (16cos(b x + a) + 8cos(b x + a) - 8cos(b x + a)) +--R * +--R 3 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 10cos(b x + a) + 12cos(b x + a) +--R + +--R 2 +--R 8cos(b x + a) + 2 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R (- 16cos(b x + a) - 8cos(b x + a) + 8cos(b x + a)) +--R * +--R 3 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 10cos(b x + a) - 12cos(b x + a) +--R + +--R 2 +--R - 8cos(b x + a) - 2 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 2 4 +--R 8cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 +--R (- 18cos(b x + a) - 8cos(b x + a) - 8cos(b x + a) + 2) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 2 +--R 2cos(b x + a) + 2cos(b x + a) - 2cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R - 8cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 +--R (18cos(b x + a) + 8cos(b x + a) + 8cos(b x + a) - 2) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 2 +--R - 2cos(b x + a) - 2cos(b x + a) + 2cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 +--R (8cos(b x + a) - 8cos(b x + a))sec(b x + c)sin(c - a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R - 2cos(b x + a) + 12cos(b x + a) + 12cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R (- 8cos(b x + a) + 8cos(b x + a))sec(b x + c)sin(c - a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R 2cos(b x + a) - 12cos(b x + a) - 12cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 4 +--R 8cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R (- 18cos(b x + a) - 16cos(b x + a) + 12cos(b x + a) ) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 3 +--R - 4cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R - 8cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R (18cos(b x + a) + 16cos(b x + a) - 12cos(b x + a) ) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 3 +--R 4cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 3 +--R - 16cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R (12cos(b x + a) + 10cos(b x + a) - 4cos(b x + a) ) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 3 +--R 16cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R (- 12cos(b x + a) - 10cos(b x + a) + 4cos(b x + a) ) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 4 2 +--R 10cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 +--R (- 2cos(b x + a) - 2cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 2 +--R - 10cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 +--R (2cos(b x + a) + 2cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R tan(c - a) +--R + +--R 5 2 +--R - 2cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a)sin(b x + c) +--R + +--R 5 +--R 2cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R tan(b x + c) +--R + +--R 5 4 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a)cos(b x + a) + 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a)sin(b x + c) +--R + +--R 5 4 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 8 +--R tan(c - a) +--R + +--R 4 3 +--R 10cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 +--R - 10cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 7 +--R tan(c - a) +--R + +--R 3 2 +--R 16cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 8cos(c - a)cos(b x + a) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R - 12cos(c - a)cos(b x + a) - 10cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 12cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R - 16cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 8cos(c - a)cos(b x + a) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R 12cos(c - a)cos(b x + a) + 10cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 12cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 2 4 +--R 8cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R - 18cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R - 8cos(c - a)cos(b x + a) + 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R - 8cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R 18cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 8cos(c - a)cos(b x + a) - 2cos(c - a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 +--R (8cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a)) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R - 2cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 +--R (- 8cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a)) +--R * +--R 3 +--R sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R 2cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 4 +--R 8cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R - 18cos(c - a)cos(b x + a) - 16cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R - 8cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 4 3 +--R 18cos(c - a)cos(b x + a) + 16cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) +--R * +--R 2 +--R sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 3 +--R - 16cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R 12cos(c - a)cos(b x + a) + 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 3 +--R 16cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 5 4 +--R - 12cos(c - a)cos(b x + a) - 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R 4cos(c - a)cos(b x + a) +--R * +--R sec(b x + c)sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 4 2 +--R 10cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R (- 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) ) +--R * +--R sec(b x + c) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 2 +--R - 10cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R + +--R 6 5 +--R (2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) )sec(b x + c) +--R * +--R tan(c - a) +--R + +--R 5 2 +--R - 2cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a)sin(b x + c) +--R + +--R 5 +--R 2cos(c - a)cos(b x + a) sec(b x + c)sin(b x + a) +--R * +--R tan(b x + c) +--R + +--R 4 3 2 +--R - 3cos(b x + a) + cos(b x + a) + 7cos(b x + a) +--R + +--R cos(b x + a) - 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R cos(b x + a) + cos(b x + a) - 2cos(b x + a) +--R + +--R 2 +--R - 2cos(b x + a) + cos(b x + a) + 1 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 +--R - 3cos(b x + a) - 3cos(b x + a) + 6cos(b x + a) +--R + +--R 3 2 +--R 6cos(b x + a) - 3cos(b x + a) - 3cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 2 +--R 3cos(b x + a) - cos(b x + a) - 7cos(b x + a) - cos(b x + a) +--R + +--R 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - cos(b x + a) - cos(b x + a) + 2cos(b x + a) +--R + +--R 2 +--R 2cos(b x + a) - cos(b x + a) - 1 +--R * +--R sec(b x + c) +--R + +--R 5 4 3 +--R 3cos(b x + a) + 3cos(b x + a) - 6cos(b x + a) +--R + +--R 2 +--R - 6cos(b x + a) + 3cos(b x + a) + 3 +--R * +--R cos(b x + c) +--R * +--R sin(c - a)sin(b x + a) +--R + +--R 6 5 4 3 +--R 3cos(b x + a) + 3cos(b x + a) - 6cos(b x + a) - 6cos(b x + a) +--R + +--R 2 +--R 3cos(b x + a) + 3cos(b x + a) +--R * +--R 8 +--R tan(c - a) +--R + +--R 3 2 +--R (- 12cos(b x + a) - cos(b x + a) + 10cos(b x + a) + 1) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R 5cos(b x + a) + 4cos(b x + a) - 6cos(b x + a) +--R + +--R - 4cos(b x + a) + 1 +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 19cos(b x + a) + 8cos(b x + a) +--R + +--R 2 +--R 18cos(b x + a) - 3 +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R - cos(b x + a) - cos(b x + a) + 2cos(b x + a) +--R + +--R 3 2 +--R 2cos(b x + a) - cos(b x + a) - cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 3 +--R (12cos(b x + a) + cos(b x + a) - 10cos(b x + a) - 1)sin(b x + a) +--R + +--R 4 3 2 +--R - 5cos(b x + a) - 4cos(b x + a) + 6cos(b x + a) +--R + +--R 4cos(b x + a) - 1 +--R * +--R sec(b x + c) +--R + +--R 4 3 2 +--R 15cos(b x + a) + 12cos(b x + a) - 18cos(b x + a) +--R + +--R - 12cos(b x + a) + 3 +--R * +--R cos(b x + c) +--R * +--R 2 +--R sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 19cos(b x + a) - 8cos(b x + a) +--R + +--R 2 +--R - 18cos(b x + a) + 3 +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R cos(b x + a) + cos(b x + a) - 2cos(b x + a) +--R + +--R 3 2 +--R - 2cos(b x + a) + cos(b x + a) + cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 4 +--R - 3cos(b x + a) - 3cos(b x + a) + 6cos(b x + a) +--R + +--R 3 2 +--R 6cos(b x + a) - 3cos(b x + a) - 3cos(b x + a) +--R * +--R cos(b x + c) +--R * +--R sin(c - a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 2 4 +--R (- 12cos(b x + a) - 4cos(b x + a) - 2)sin(b x + a) +--R + +--R 3 2 +--R (8cos(b x + a) + 4cos(b x + a) - 4cos(b x + a))sec(b x + c) +--R * +--R 3 +--R sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R - 9cos(b x + a) - 24cos(b x + a) + 4cos(b x + a) +--R + +--R 15cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 6cos(b x + a) - 5cos(b x + a) + 6cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) + 1 +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 4 3 +--R 3cos(b x + a) + 6cos(b x + a) + 3cos(b x + a) - cos(b x + a) +--R + +--R 2 +--R - 4cos(b x + a) - 3cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R (12cos(b x + a) + 4cos(b x + a) + 2)sin(b x + a) +--R + +--R 3 2 +--R (- 8cos(b x + a) - 4cos(b x + a) + 4cos(b x + a))sec(b x + c) +--R + +--R 3 2 +--R (24cos(b x + a) + 12cos(b x + a) - 12cos(b x + a))cos(b x + c) +--R * +--R 3 +--R sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R 9cos(b x + a) + 24cos(b x + a) - 4cos(b x + a) +--R + +--R - 15cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R 6cos(b x + a) + 5cos(b x + a) - 6cos(b x + a) +--R + +--R 2 +--R - 4cos(b x + a) - 1 +--R * +--R sec(b x + c) +--R + +--R 5 4 3 +--R - 18cos(b x + a) - 15cos(b x + a) + 18cos(b x + a) +--R + +--R 2 +--R 12cos(b x + a) + 3 +--R * +--R cos(b x + c) +--R * +--R sin(c - a)sin(b x + a) +--R + +--R 6 5 4 3 +--R - 3cos(b x + a) - 6cos(b x + a) - 3cos(b x + a) + cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) + 3cos(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 5 +--R - 2sin(b x + a) +--R + +--R 2 4 +--R 4cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 2 3 +--R (- 6cos(b x + a) + 14cos(b x + a) + 3)sin(b x + a) +--R + +--R 4 3 +--R (- 9cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) + 1) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R - 2cos(b x + a) + 4cos(b x + a) + 9cos(b x + a) +--R + +--R - 2cos(b x + a) - 3 +--R * +--R sin(b x + a) +--R + +--R 6 5 2 +--R (cos(b x + a) + cos(b x + a) - cos(b x + a) - cos(b x + a)) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 5 +--R 2sin(b x + a) +--R + +--R 2 2 +--R (- 4cos(b x + a) sec(b x + c) + 12cos(b x + a) cos(b x + c)) +--R * +--R 4 +--R sin(c - a)sin(b x + a) +--R + +--R 2 3 +--R (6cos(b x + a) - 14cos(b x + a) - 3)sin(b x + a) +--R + +--R 4 3 +--R (9cos(b x + a) + 4cos(b x + a) + 4cos(b x + a) - 1)sec(b x + c) +--R + +--R 4 3 +--R (- 27cos(b x + a) - 12cos(b x + a) - 12cos(b x + a) + 3) +--R * +--R cos(b x + c) +--R * +--R 2 +--R sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R 2cos(b x + a) - 4cos(b x + a) - 9cos(b x + a) + 2cos(b x + a) +--R + +--R 3 +--R * +--R sin(b x + a) +--R + +--R 6 5 2 +--R - cos(b x + a) - cos(b x + a) + cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 2 +--R 3cos(b x + a) + 3cos(b x + a) - 3cos(b x + a) +--R + +--R - 3cos(b x + a) +--R * +--R cos(b x + c) +--R * +--R sin(c - a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 4 +--R (- 12cos(b x + a) - 2)sin(b x + a) +--R + +--R 2 +--R (4cos(b x + a) - 4cos(b x + a))sec(b x + c)sin(c - a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R - 9cos(b x + a) - 21cos(b x + a) - 7cos(b x + a) +--R + +--R 12cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 4 3 2 +--R - cos(b x + a) + 6cos(b x + a) + 6cos(b x + a) +--R + +--R - cos(b x + a) +--R * +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 6 5 3 2 +--R 3cos(b x + a) + 9cos(b x + a) - 7cos(b x + a) - cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R (12cos(b x + a) + 2)sin(b x + a) +--R + +--R 2 +--R (- 4cos(b x + a) + 4cos(b x + a))sec(b x + c) +--R + +--R 2 +--R (12cos(b x + a) - 12cos(b x + a))cos(b x + c) +--R * +--R 3 +--R sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R 9cos(b x + a) + 21cos(b x + a) + 7cos(b x + a) +--R + +--R - 12cos(b x + a) - 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 4 3 2 +--R cos(b x + a) - 6cos(b x + a) - 6cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 4 3 2 +--R - 3cos(b x + a) + 18cos(b x + a) + 18cos(b x + a) +--R + +--R - 3cos(b x + a) +--R * +--R cos(b x + c) +--R * +--R sin(c - a)sin(b x + a) +--R + +--R 6 5 3 2 +--R - 3cos(b x + a) - 9cos(b x + a) + 7cos(b x + a) + cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 5 +--R - 2sin(b x + a) +--R + +--R 2 4 +--R 4cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 3 2 +--R (12cos(b x + a) - 9cos(b x + a) + 4cos(b x + a) + 2) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R (- 9cos(b x + a) - 8cos(b x + a) + 6cos(b x + a) ) +--R * +--R 2 +--R sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 19cos(b x + a) - 2cos(b x + a) +--R + +--R 2 +--R - 9cos(b x + a) - 2cos(b x + a) +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R cos(b x + a) + cos(b x + a) - 2cos(b x + a) +--R + +--R 3 +--R - 2cos(b x + a) +--R * +--R sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 5 +--R 2sin(b x + a) +--R + +--R 2 2 +--R (- 4cos(b x + a) sec(b x + c) + 12cos(b x + a) cos(b x + c)) +--R * +--R 4 +--R sin(c - a)sin(b x + a) +--R + +--R 3 2 3 +--R (- 12cos(b x + a) + 9cos(b x + a) - 4cos(b x + a) - 2)sin(b x + a) +--R + +--R 4 3 2 +--R (9cos(b x + a) + 8cos(b x + a) - 6cos(b x + a) )sec(b x + c) +--R + +--R 4 3 2 +--R (- 27cos(b x + a) - 24cos(b x + a) + 18cos(b x + a) )cos(b x + c) +--R * +--R 2 +--R sin(c - a)sin(b x + a) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 19cos(b x + a) + 2cos(b x + a) +--R + +--R 2 +--R 9cos(b x + a) + 2cos(b x + a) +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R - cos(b x + a) - cos(b x + a) + 2cos(b x + a) +--R + +--R 3 +--R 2cos(b x + a) +--R * +--R sec(b x + c) +--R + +--R 6 5 4 +--R 3cos(b x + a) + 3cos(b x + a) - 6cos(b x + a) +--R + +--R 3 +--R - 6cos(b x + a) +--R * +--R cos(b x + c) +--R * +--R sin(c - a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 4 +--R 4cos(b x + a)sin(b x + a) +--R + +--R 3 3 +--R - 8cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R - 3cos(b x + a) + 6cos(b x + a) - 4cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R (6cos(b x + a) + 5cos(b x + a) - 2cos(b x + a) )sec(b x + c) +--R * +--R sin(c - a)sin(b x + a) +--R + +--R 6 4 +--R - 3cos(b x + a) + 3cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 +--R - 4cos(b x + a)sin(b x + a) +--R + +--R 3 3 +--R (8cos(b x + a) sec(b x + c) - 24cos(b x + a) cos(b x + c)) +--R * +--R 3 +--R sin(c - a)sin(b x + a) +--R + +--R 4 3 2 +--R (3cos(b x + a) - 6cos(b x + a) + 4cos(b x + a) + 2cos(b x + a)) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R (- 6cos(b x + a) - 5cos(b x + a) + 2cos(b x + a) )sec(b x + c) +--R + +--R 5 4 3 +--R (18cos(b x + a) + 15cos(b x + a) - 6cos(b x + a) )cos(b x + c) +--R * +--R sin(c - a)sin(b x + a) +--R + +--R 6 4 +--R 3cos(b x + a) - 3cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 3 +--R - 4cos(b x + a) sin(b x + a) +--R + +--R 4 2 +--R 5cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R + +--R 4 3 +--R (2cos(b x + a) + 2cos(b x + a) )sin(b x + a) +--R + +--R 6 5 +--R (- cos(b x + a) - cos(b x + a) )sec(b x + c)sin(c - a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 3 +--R 4cos(b x + a) sin(b x + a) +--R + +--R 4 4 +--R (- 5cos(b x + a) sec(b x + c) + 15cos(b x + a) cos(b x + c)) +--R * +--R 2 +--R sin(c - a)sin(b x + a) +--R + +--R 4 3 +--R (- 2cos(b x + a) - 2cos(b x + a) )sin(b x + a) +--R + +--R 6 5 +--R (cos(b x + a) + cos(b x + a) )sec(b x + c) +--R + +--R 6 5 +--R (- 3cos(b x + a) - 3cos(b x + a) )cos(b x + c) +--R * +--R sin(c - a) +--R * +--R tan(c - a) +--R + +--R 3 2 +--R 2cos(b x + a) sin(b x + a) +--R + +--R 5 +--R - cos(b x + a) sec(b x + c)sin(c - a)sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 +--R - 2cos(b x + a) sin(b x + a) +--R + +--R 5 5 +--R (cos(b x + a) sec(b x + c) - 3cos(b x + a) cos(b x + c))sin(c - a) +--R * +--R sin(b x + a) +--R / +--R 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a)sin(b x + c) +--R + +--R 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 4 3 2 +--R 10cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R - 8cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 3 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 2 +--R - 10cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R 8cos(b x + a) - 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R 2cos(b x + a) + 2cos(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 3 2 +--R (16cos(b x + a) + 8cos(b x + a) - 8cos(b x + a)) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 14cos(b x + a) - 10cos(b x + a) + 16cos(b x + a) +--R + +--R 2 +--R 8cos(b x + a) - 2cos(b x + a) + 2 +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 3 +--R (- 16cos(b x + a) - 8cos(b x + a) + 8cos(b x + a))sin(b x + a) +--R + +--R 5 4 3 +--R 14cos(b x + a) + 10cos(b x + a) - 16cos(b x + a) +--R + +--R 2 +--R - 8cos(b x + a) + 2cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 4 +--R 8cos(b x + a) sin(b x + a) +--R + +--R 4 3 2 +--R - 28cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R - 8cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 +--R 4cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R - 8cos(b x + a) sin(b x + a) +--R + +--R 4 3 2 +--R 28cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R 8cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 +--R - 4cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) + 2cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 2 3 +--R (- 16cos(b x + a) + 8cos(b x + a) )sin(b x + a) +--R + +--R 5 4 3 +--R 14cos(b x + a) - 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R 12cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 3 +--R (16cos(b x + a) - 8cos(b x + a) )sin(b x + a) +--R + +--R 5 4 3 +--R - 14cos(b x + a) + 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R - 12cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 4 3 2 +--R (10cos(b x + a) - 16cos(b x + a) )sin(b x + a) +--R + +--R 6 5 3 +--R - 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 2 +--R (- 10cos(b x + a) + 16cos(b x + a) )sin(b x + a) +--R + +--R 6 5 3 +--R 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 5 4 2 +--R (- 2cos(b x + a) + 10cos(b x + a) )sin(b x + a)sin(b x + c) +--R + +--R 5 4 +--R (2cos(b x + a) - 10cos(b x + a) )sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 5 2 5 +--R - 2cos(b x + a) sin(b x + c) + 2cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2 +--R * +--R 2 +--R sin(b x + a)sin(b x + c) +--R + +--R 5 4 3 2 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) +--R + +--R 2cos(b x + a) + 2 +--R * +--R sin(b x + a) +--R * +--R 8 +--R tan(c - a) +--R + +--R 4 3 2 +--R - 10cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R 8cos(b x + a) - 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R 2cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 3 2 +--R 10cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R - 8cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R - 2cos(b x + a) - 2cos(b x + a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 3 2 3 +--R (- 16cos(b x + a) - 8cos(b x + a) + 8cos(b x + a))sin(b x + a) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 10cos(b x + a) - 12cos(b x + a) +--R + +--R 2 +--R - 8cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 2 3 +--R (16cos(b x + a) + 8cos(b x + a) - 8cos(b x + a))sin(b x + a) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 10cos(b x + a) + 12cos(b x + a) +--R + +--R 2 +--R 8cos(b x + a) + 2 +--R * +--R sin(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 2 4 +--R - 8cos(b x + a) sin(b x + a) +--R + +--R 4 3 +--R (18cos(b x + a) + 8cos(b x + a) + 8cos(b x + a) - 2) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 2 +--R - 2cos(b x + a) - 2cos(b x + a) + 2cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R 8cos(b x + a) sin(b x + a) +--R + +--R 4 3 2 +--R (- 18cos(b x + a) - 8cos(b x + a) - 8cos(b x + a) + 2)sin(b x + a) +--R + +--R 6 5 2 +--R 2cos(b x + a) + 2cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 3 +--R (- 8cos(b x + a) + 8cos(b x + a))sin(b x + a) +--R + +--R 4 3 2 +--R 2cos(b x + a) - 12cos(b x + a) - 12cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 3 +--R (8cos(b x + a) - 8cos(b x + a))sin(b x + a) +--R + +--R 4 3 2 +--R - 2cos(b x + a) + 12cos(b x + a) + 12cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 4 +--R - 8cos(b x + a) sin(b x + a) +--R + +--R 4 3 2 +--R (18cos(b x + a) + 16cos(b x + a) - 12cos(b x + a) ) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) + 4cos(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 2 4 +--R 8cos(b x + a) sin(b x + a) +--R + +--R 4 3 2 2 +--R (- 18cos(b x + a) - 16cos(b x + a) + 12cos(b x + a) )sin(b x + a) +--R + +--R 6 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 3 +--R 16cos(b x + a) sin(b x + a) +--R + +--R 5 4 3 +--R (- 12cos(b x + a) - 10cos(b x + a) + 4cos(b x + a) )sin(b x + a) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 3 3 +--R - 16cos(b x + a) sin(b x + a) +--R + +--R 5 4 3 +--R (12cos(b x + a) + 10cos(b x + a) - 4cos(b x + a) )sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 4 2 6 5 +--R (- 10cos(b x + a) sin(b x + a) + 2cos(b x + a) + 2cos(b x + a) ) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 4 2 6 5 +--R 10cos(b x + a) sin(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 5 2 5 +--R 2cos(b x + a) sin(b x + a)sin(b x + c) - 2cos(b x + a) sin(b x + a) +--R Type: Expression Integer +--E 497 + +--S 498 of 532 +t0793:= cos(a+b*x)*cot(c+b*x) +--R +--R +--R (467) cos(b x + a)cot(b x + c) +--R Type: Expression Integer +--E 498 + +--S 499 of 532 +r0793:= -(atanh(cos(c+b*x))*cos(a-c)-cos(a+b*x))/b +--R +--R +--R - cos(c - a)atanh(cos(b x + c)) + cos(b x + a) +--R (468) ---------------------------------------------- +--R b +--R Type: Expression Integer +--E 499 + +--S 500 of 532 +a0793:= integrate(t0793,x) +--R +--R +--R (469) +--R log +--R 2 +--R (- tan(c - a) + sin(b x + a)tan(c - a) - cos(b x + a) - 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R - sin(b x + a)tan(c - a) + (cos(b x + a) + 1)tan(c - a) +--R + +--R - sin(b x + a)tan(c - a) + cos(b x + a) + 1 +--R / +--R cos(b x + a)tan(c - a) + sin(b x + a) +--R + +--R +---------------+ +--R | 2 +--R cos(b x + a)\|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R b\|tan(c - a) + 1 +--R Type: Union(Expression Integer,...) +--E 500 + +--S 501 of 532 +m0793:= a0793-r0793 +--R +--R +--R (470) +--R log +--R 2 +--R (- tan(c - a) + sin(b x + a)tan(c - a) - cos(b x + a) - 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R - sin(b x + a)tan(c - a) + (cos(b x + a) + 1)tan(c - a) +--R + +--R - sin(b x + a)tan(c - a) + cos(b x + a) + 1 +--R / +--R cos(b x + a)tan(c - a) + sin(b x + a) +--R + +--R +---------------+ +--R | 2 +--R cos(c - a)atanh(cos(b x + c))\|tan(c - a) + 1 +--R / +--R +---------------+ +--R | 2 +--R b\|tan(c - a) + 1 +--R Type: Expression Integer +--E 501 + +--S 502 of 532 +d0793:= D(m0793,x) +--R +--R +--R (471) +--R 3 +--R cos(c - a)cos(b x + a)sin(b x + c)tan(c - a) +--R + +--R (- cos(c - a)cos(b x + a) + cos(c - a))sin(b x + a)sin(b x + c) +--R + +--R 2 2 2 2 +--R (cos(b x + c) - 1)sin(b x + a) + cos(b x + a) cos(b x + c) +--R + +--R 2 +--R - cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 2 +--R - cos(c - a)sin(b x + a) + cos(c - a)cos(b x + a) +--R + +--R cos(c - a)cos(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 +--R (- cos(b x + c) + 1)sin(b x + a) +--R * +--R tan(c - a) +--R + +--R (cos(c - a)cos(b x + a) + cos(c - a))sin(b x + a)sin(b x + c) +--R + +--R 2 2 +--R (cos(b x + c) - 1)sin(b x + a) +--R + +--R 2 2 2 +--R (cos(b x + a) + cos(b x + a))cos(b x + c) - cos(b x + a) +--R + +--R - cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 4 +--R cos(c - a)cos(b x + a)sin(b x + a)sin(b x + c)tan(c - a) +--R + +--R 2 2 +--R cos(c - a)sin(b x + a) - cos(c - a)cos(b x + a) +--R + +--R - cos(c - a)cos(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 +--R (cos(b x + c) - 1)sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R - cos(c - a)sin(b x + a)sin(b x + c) +--R + +--R 2 2 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 2 2 +--R (- cos(b x + a) - cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 2 +--R cos(c - a)sin(b x + a) - cos(c - a)cos(b x + a) +--R + +--R - cos(c - a)cos(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 +--R (cos(b x + c) - 1)sin(b x + a) +--R * +--R tan(c - a) +--R + +--R (- cos(c - a)cos(b x + a) - cos(c - a))sin(b x + a)sin(b x + c) +--R + +--R 2 2 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 2 2 +--R (- cos(b x + a) - cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R cos(b x + a) +--R / +--R 2 3 +--R (cos(b x + a)cos(b x + c) - cos(b x + a))tan(c - a) +--R + +--R 2 +--R ((- cos(b x + a) + 1)cos(b x + c) + cos(b x + a) - 1)sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 2 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 2 2 +--R (cos(b x + a) + cos(b x + a))cos(b x + c) - cos(b x + a) +--R + +--R - cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R ((cos(b x + a) + 1)cos(b x + c) - cos(b x + a) - 1)sin(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 2 4 +--R (cos(b x + a)cos(b x + c) - cos(b x + a))sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R (cos(b x + c) - 1)sin(b x + a) +--R + +--R 2 2 2 +--R (- cos(b x + a) - cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 2 +--R (- cos(b x + c) + 1)sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R (cos(b x + c) - 1)sin(b x + a) +--R + +--R 2 2 2 +--R (- cos(b x + a) - cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R ((- cos(b x + a) - 1)cos(b x + c) + cos(b x + a) + 1)sin(b x + a) +--R Type: Expression Integer +--E 502 + +--S 503 of 532 +t0794:= cos(a+b*x)*cot(c+b*x)^2 +--R +--R +--R 2 +--R (472) cos(b x + a)cot(b x + c) +--R Type: Expression Integer +--E 503 + +--S 504 of 532 +r0794:= -cos(a-c)*csc(c+b*x)/b+atanh(cos(c+b*x))*sin(a-c)/b-sin(a+b*x)/b +--R +--R +--R (473) +--R - sin(c - a)atanh(cos(b x + c)) - sin(b x + a) - cos(c - a)csc(b x + c) +--R ----------------------------------------------------------------------- +--R b +--R Type: Expression Integer +--E 504 + +--S 505 of 532 +a0794:= integrate(t0794,x) +--R +--R +--R (474) +--R 3 2 +--R (cos(b x + a)tan(c - a) + sin(b x + a)tan(c - a) ) +--R * +--R log +--R 2 +--R (- tan(c - a) + sin(b x + a)tan(c - a) - cos(b x + a) - 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R - sin(b x + a)tan(c - a) + (cos(b x + a) + 1)tan(c - a) +--R + +--R - sin(b x + a)tan(c - a) + cos(b x + a) + 1 +--R / +--R cos(b x + a)tan(c - a) + sin(b x + a) +--R + +--R 2 +--R - cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 +--R (cos(b x + a) - cos(b x + a) - 2)tan(c - a) - sin(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R +---------------+ +--R 2 | 2 +--R (b cos(b x + a)tan(c - a) + b sin(b x + a)tan(c - a))\|tan(c - a) + 1 +--R Type: Union(Expression Integer,...) +--E 505 + +--S 506 of 532 +m0794:= a0794-r0794 +--R +--R +--R (475) +--R 3 2 +--R (cos(b x + a)tan(c - a) + sin(b x + a)tan(c - a) ) +--R * +--R log +--R 2 +--R (- tan(c - a) + sin(b x + a)tan(c - a) - cos(b x + a) - 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R - sin(b x + a)tan(c - a) + (cos(b x + a) + 1)tan(c - a) +--R + +--R - sin(b x + a)tan(c - a) + cos(b x + a) + 1 +--R / +--R cos(b x + a)tan(c - a) + sin(b x + a) +--R + +--R 2 +--R cos(b x + a)sin(c - a)tan(c - a) +--R + +--R sin(c - a)sin(b x + a)tan(c - a) +--R * +--R atanh(cos(b x + c)) +--R + +--R 2 +--R cos(c - a)cos(b x + a)csc(b x + c)tan(c - a) +--R + +--R 2 +--R sin(b x + a) + cos(c - a)csc(b x + c)sin(b x + a) +--R + +--R 2 +--R cos(b x + a) - cos(b x + a) - 2 +--R * +--R tan(c - a) +--R + +--R - sin(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R +---------------+ +--R 2 | 2 +--R (b cos(b x + a)tan(c - a) + b sin(b x + a)tan(c - a))\|tan(c - a) + 1 +--R Type: Expression Integer +--E 506 + +--S 507 of 532 +d0794:= D(m0794,x) +--R +--R +--R (476) +--R 2 +--R cos(b x + a) sin(c - a)sin(b x + c) +--R + +--R 2 2 +--R (cos(b x + a)cos(b x + c) - cos(b x + a))sin(b x + a) +--R + +--R 2 2 +--R - cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 2 +--R cos(c - a)cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 3 2 3 +--R cos(b x + a) cos(b x + c) - cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 +--R (- cos(b x + a) + 2cos(b x + a))sin(c - a)sin(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 3 +--R (2cos(b x + c) - 2)sin(b x + a) +--R + +--R 2 +--R (cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a)) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 2 +--R - cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 2 2 +--R (2cos(b x + a) - cos(b x + a) - 2)cos(b x + c) +--R + +--R 2 +--R - 2cos(b x + a) + cos(b x + a) + 2 +--R * +--R sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 +--R (- 2cos(b x + a) + 1)sin(c - a)sin(b x + a) +--R + +--R 3 2 +--R (cos(b x + a) + cos(b x + a) )sin(c - a) +--R * +--R sin(b x + c) +--R + +--R 2 4 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 +--R (2cos(c - a)cos(b x + a) - cos(c - a))cos(b x + c) +--R + +--R - 2cos(c - a)cos(b x + a) + cos(c - a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 2 2 2 +--R (- cos(b x + a) + 1)cos(b x + c) + cos(b x + a) - 1 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 3 2 +--R (- cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) ) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 2 2 2 +--R (cos(b x + a) + 2cos(b x + a))cos(b x + c) - cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 3 +--R - sin(c - a)sin(b x + a) +--R + +--R 2 +--R (2cos(b x + a) + 2cos(b x + a))sin(c - a)sin(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 +--R (cos(c - a)cos(b x + c) - cos(c - a))cot(b x + c) +--R * +--R csc(b x + c) +--R + +--R 2 +--R (2cos(b x + a) + 2)cos(b x + c) - 2cos(b x + a) - 2 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 2 +--R (- 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a)) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 3 2 +--R (2cos(b x + a) + 2cos(b x + a) - 3cos(b x + a) - 2) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R - 2cos(b x + a) - 2cos(b x + a) + 3cos(b x + a) + 2 +--R * +--R sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R (cos(b x + a) + 1)sin(c - a)sin(b x + a) sin(b x + c) +--R + +--R 2 +--R (- cos(c - a)cos(b x + a) - cos(c - a))cos(b x + c) +--R + +--R cos(c - a)cos(b x + a) + cos(c - a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 2 2 2 +--R (- cos(b x + a) - cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 4 3 2 +--R (- cos(b x + a) - cos(b x + a) + 2cos(b x + a) + 2cos(b x + a)) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R cos(b x + a) + cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 2 +--R cos(b x + a) sin(c - a)sin(b x + a)sin(b x + c) +--R + +--R 2 2 +--R - cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 2 +--R cos(c - a)cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 2 +--R cos(b x + a)cos(b x + c) - cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 +--R 2cos(b x + a)sin(c - a)sin(b x + a) +--R + +--R 3 2 +--R (- cos(b x + a) - cos(b x + a) )sin(c - a) +--R * +--R sin(b x + c) +--R + +--R 2 4 +--R (cos(b x + c) - 1)sin(b x + a) +--R + +--R 2 +--R - 2cos(c - a)cos(b x + a)cos(b x + c) +--R + +--R 2cos(c - a)cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 2 2 2 +--R (cos(b x + a) - cos(b x + a) - 1)cos(b x + c) - cos(b x + a) +--R + +--R cos(b x + a) + 1 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 3 2 2 +--R (cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) )cos(b x + c) +--R + +--R 3 2 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 3 2 2 3 +--R (- cos(b x + a) - cos(b x + a) )cos(b x + c) + cos(b x + a) +--R + +--R 2 +--R cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 3 +--R sin(c - a)sin(b x + a) +--R + +--R 2 +--R (- cos(b x + a) - 2cos(b x + a))sin(c - a)sin(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 +--R (- cos(c - a)cos(b x + c) + cos(c - a))cot(b x + c)csc(b x + c) +--R + +--R 2 +--R (- 2cos(b x + a) - 2)cos(b x + c) + 2cos(b x + a) + 2 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 2 +--R (cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a)) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 2 +--R - cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 3 2 +--R (- 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) + 2) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 +--R (cos(b x + a) - 1)sin(c - a)sin(b x + a) +--R + +--R 3 2 +--R (- cos(b x + a) - cos(b x + a) )sin(c - a) +--R * +--R sin(b x + c) +--R + +--R 2 4 +--R (cos(b x + c) - 1)sin(b x + a) +--R + +--R 2 +--R (- cos(c - a)cos(b x + a) + cos(c - a))cos(b x + c) +--R + +--R cos(c - a)cos(b x + a) - cos(c - a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 2 2 2 +--R (2cos(b x + a) - 1)cos(b x + c) - 2cos(b x + a) + 1 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 3 2 2 +--R (cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) )cos(b x + c) +--R + +--R 3 2 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 4 2 2 +--R (cos(b x + a) - 3cos(b x + a) - 2cos(b x + a))cos(b x + c) +--R + +--R 4 2 +--R - cos(b x + a) + 3cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 3 +--R sin(c - a)sin(b x + a) +--R + +--R 2 +--R (- 2cos(b x + a) - 2cos(b x + a))sin(c - a)sin(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 +--R (- cos(c - a)cos(b x + c) + cos(c - a))cot(b x + c)csc(b x + c) +--R + +--R 2 +--R (- 2cos(b x + a) - 2)cos(b x + c) + 2cos(b x + a) + 2 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 2 +--R (2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a)) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 3 2 +--R (- 2cos(b x + a) - 2cos(b x + a) + 3cos(b x + a) + 2) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R 2cos(b x + a) + 2cos(b x + a) - 3cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 +--R (- cos(b x + a) - 1)sin(c - a)sin(b x + a) sin(b x + c) +--R + +--R 2 +--R (cos(c - a)cos(b x + a) + cos(c - a))cos(b x + c) +--R + +--R - cos(c - a)cos(b x + a) - cos(c - a) +--R * +--R cot(b x + c)csc(b x + c) +--R + +--R 2 2 2 +--R (cos(b x + a) + cos(b x + a))cos(b x + c) - cos(b x + a) +--R + +--R - cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 4 3 2 +--R (cos(b x + a) + cos(b x + a) - 2cos(b x + a) - 2cos(b x + a)) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R - cos(b x + a) - cos(b x + a) + 2cos(b x + a) + 2cos(b x + a) +--R / +--R 2 2 2 4 +--R (cos(b x + a) cos(b x + c) - cos(b x + a) )tan(c - a) +--R + +--R 2 2 2 +--R (- cos(b x + a) + 2cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R 3 +--R sin(b x + a)tan(c - a) +--R + +--R 2 +--R ((- 2cos(b x + a) + 1)cos(b x + c) + 2cos(b x + a) - 1) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 3 2 2 3 +--R (cos(b x + a) + cos(b x + a) )cos(b x + c) - cos(b x + a) +--R + +--R 2 +--R - cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 3 +--R (- cos(b x + c) + 1)sin(b x + a) +--R + +--R 2 2 +--R (2cos(b x + a) + 2cos(b x + a))cos(b x + c) +--R + +--R 2 +--R - 2cos(b x + a) - 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 2 +--R ((cos(b x + a) + 1)cos(b x + c) - cos(b x + a) - 1)sin(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 2 2 2 5 +--R (cos(b x + a) cos(b x + c) - cos(b x + a) )sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R (2cos(b x + a)cos(b x + c) - 2cos(b x + a))sin(b x + a) +--R + +--R 3 2 2 3 +--R (- cos(b x + a) - cos(b x + a) )cos(b x + c) + cos(b x + a) +--R + +--R 2 +--R cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 3 +--R (cos(b x + c) - 1)sin(b x + a) +--R + +--R 2 2 2 +--R (- cos(b x + a) - 2cos(b x + a))cos(b x + c) + cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 2 2 +--R ((cos(b x + a) - 1)cos(b x + c) - cos(b x + a) + 1)sin(b x + a) +--R + +--R 3 2 2 3 +--R (- cos(b x + a) - cos(b x + a) )cos(b x + c) + cos(b x + a) +--R + +--R 2 +--R cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 3 +--R (cos(b x + c) - 1)sin(b x + a) +--R + +--R 2 2 2 +--R (- 2cos(b x + a) - 2cos(b x + a))cos(b x + c) + 2cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R tan(c - a) +--R + +--R 2 2 +--R ((- cos(b x + a) - 1)cos(b x + c) + cos(b x + a) + 1)sin(b x + a) +--R Type: Expression Integer +--E 507 + +--S 508 of 532 +t0795:= cos(a+b*x)*cot(c+b*x)^3 +--R +--R +--R 3 +--R (477) cos(b x + a)cot(b x + c) +--R Type: Expression Integer +--E 508 + +--S 509 of 532 +r0795:= 3/2*atanh(cos(c+b*x))*cos(a-c)/b-cos(a+b*x)/b-1/2*cos(a-c)*cot(c+b*x)*csc(c+b*x)/b+csc(c+b*x)*sin(a-c)/b +--R +--R +--R (478) +--R 3cos(c - a)atanh(cos(b x + c)) - 2csc(b x + c)sin(c - a) +--R + +--R - cos(c - a)cot(b x + c)csc(b x + c) - 2cos(b x + a) +--R / +--R 2b +--R Type: Expression Integer +--E 509 + +--S 510 of 532 +a0795:= integrate(t0795,x) +--R +--R +--R (479) +--R 2 4 3 +--R 3cos(b x + a) tan(c - a) + 6cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R (- 3cos(b x + a) + 3)tan(c - a) +--R * +--R log +--R 2 +--R (- tan(c - a) + sin(b x + a)tan(c - a) - cos(b x + a) - 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R sin(b x + a)tan(c - a) + (- cos(b x + a) - 1)tan(c - a) +--R + +--R sin(b x + a)tan(c - a) - cos(b x + a) - 1 +--R / +--R cos(b x + a)tan(c - a) + sin(b x + a) +--R + +--R 3 2 4 +--R (- 2cos(b x + a) - 4cos(b x + a) - 2cos(b x + a))tan(c - a) +--R + +--R 2 3 +--R (- 4cos(b x + a) - 8cos(b x + a) - 1)sin(b x + a)tan(c - a) +--R + +--R 3 2 2 +--R (2cos(b x + a) + 3cos(b x + a) - 3cos(b x + a) - 4)tan(c - a) +--R + +--R 2 +--R - 2cos(b x + a)sin(b x + a)tan(c - a) + cos(b x + a) - 1 +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R 2 4 3 +--R 2b cos(b x + a) tan(c - a) + 4b cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R (- 2b cos(b x + a) + 2b)tan(c - a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R Type: Union(Expression Integer,...) +--E 510 + +--S 511 of 532 +m0795:= a0795-r0795 +--R +--R +--R (480) +--R 2 4 3 +--R 3cos(b x + a) tan(c - a) + 6cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R (- 3cos(b x + a) + 3)tan(c - a) +--R * +--R log +--R 2 +--R (- tan(c - a) + sin(b x + a)tan(c - a) - cos(b x + a) - 1) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 3 2 +--R sin(b x + a)tan(c - a) + (- cos(b x + a) - 1)tan(c - a) +--R + +--R sin(b x + a)tan(c - a) - cos(b x + a) - 1 +--R / +--R cos(b x + a)tan(c - a) + sin(b x + a) +--R + +--R 2 4 +--R - 3cos(c - a)cos(b x + a) tan(c - a) +--R + +--R 3 +--R - 6cos(c - a)cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R (3cos(c - a)cos(b x + a) - 3cos(c - a))tan(c - a) +--R * +--R atanh(cos(b x + c)) +--R + +--R 2 +--R 2cos(b x + a) csc(b x + c)sin(c - a) +--R + +--R 2 2 +--R cos(c - a)cos(b x + a) cot(b x + c)csc(b x + c) - 4cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 4cos(b x + a)csc(b x + c)sin(c - a) +--R + +--R 2cos(c - a)cos(b x + a)cot(b x + c)csc(b x + c) - 8cos(b x + a) - 1 +--R * +--R 3 +--R sin(b x + a)tan(c - a) +--R + +--R 2 +--R (- 2cos(b x + a) + 2)csc(b x + c)sin(c - a) +--R + +--R 2 +--R (- cos(c - a)cos(b x + a) + cos(c - a))cot(b x + c)csc(b x + c) +--R + +--R 2 +--R 3cos(b x + a) - cos(b x + a) - 4 +--R * +--R 2 +--R tan(c - a) +--R + +--R 2 +--R - 2cos(b x + a)sin(b x + a)tan(c - a) + cos(b x + a) - 1 +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R / +--R 2 4 3 +--R 2b cos(b x + a) tan(c - a) + 4b cos(b x + a)sin(b x + a)tan(c - a) +--R + +--R 2 2 +--R (- 2b cos(b x + a) + 2b)tan(c - a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R Type: Expression Integer +--E 511 + +--S 512 of 532 +d0795:= D(m0795,x) +--R +--R +--R (481) +--R 5 +--R - 3cos(c - a)cos(b x + a) sin(b x + c) +--R + +--R 3 2 3 +--R (- 2cos(b x + a) cos(b x + c) + 2cos(b x + a) )sin(b x + a) +--R + +--R 5 2 5 +--R (- 2cos(b x + a) cos(b x + c) + 2cos(b x + a) )cot(b x + c) +--R * +--R csc(b x + c)sin(c - a) +--R + +--R 5 2 +--R - 2cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 5 +--R 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 5 2 +--R - cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 5 +--R cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 7 +--R tan(c - a) +--R + +--R 5 4 +--R (3cos(c - a)cos(b x + a) - 15cos(c - a)cos(b x + a) ) +--R * +--R sin(b x + a)sin(b x + c) +--R + +--R 4 3 2 +--R (- 3cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) ) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 3cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 2 +--R (2cos(b x + a) - 10cos(b x + a) )cos(b x + c) +--R + +--R 5 4 +--R - 2cos(b x + a) + 10cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 5 +--R 2cos(c - a)cos(b x + a) +--R + +--R 4 +--R - 10cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 +--R - 2cos(c - a)cos(b x + a) + 10cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 5 4 +--R (cos(c - a)cos(b x + a) - 5cos(c - a)cos(b x + a) ) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 +--R - cos(c - a)cos(b x + a) + 5cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R sin(b x + a) +--R + +--R 6 4 2 6 +--R (- 3cos(b x + a) + 3cos(b x + a) )cos(b x + c) + 3cos(b x + a) +--R + +--R 4 +--R - 3cos(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 4 3 +--R (15cos(c - a)cos(b x + a) - 24cos(c - a)cos(b x + a) ) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R - 3cos(c - a)cos(b x + a) + 3cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 6cos(c - a)cos(b x + a) +--R * +--R sin(b x + c) +--R + +--R 3 2 +--R (- 12cos(b x + a) + 4cos(b x + a) - 4cos(b x + a)) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R 12cos(b x + a) - 4cos(b x + a) + 4cos(b x + a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R (10cos(b x + a) - 16cos(b x + a) )cos(b x + c) +--R + +--R 4 3 +--R - 10cos(b x + a) + 16cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 4 +--R 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 16cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R - 10cos(c - a)cos(b x + a) + 16cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 4 3 +--R (5cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) ) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R - 5cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 2cos(b x + a) + 2cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 2cos(b x + a) - 2cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sin(b x + a) +--R + +--R 6 5 3 +--R (- 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) ) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 3 +--R 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 4cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 3 +--R 4cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 6 5 +--R - cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 3 +--R 2cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 5 +--R tan(c - a) +--R + +--R 3 2 +--R (24cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) ) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 +--R - 21cos(c - a)cos(b x + a) + 3cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 6cos(c - a)cos(b x + a) - 18cos(c - a)cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 2 +--R (- 12cos(b x + a) + 4cos(b x + a) - 2)cos(b x + c) +--R + +--R 2 +--R 12cos(b x + a) - 4cos(b x + a) + 2 +--R * +--R 4 +--R sin(b x + a) +--R + +--R 3 2 2 +--R (16cos(b x + a) - 8cos(b x + a) )cos(b x + c) +--R + +--R 3 2 +--R - 16cos(b x + a) + 8cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 3 +--R 16cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R - 16cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 3 2 +--R (8cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) ) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R - 8cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R - 9cos(b x + a) + 4cos(b x + a) - 7cos(b x + a) +--R + +--R - 2cos(b x + a) + 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 9cos(b x + a) - 4cos(b x + a) + 7cos(b x + a) +--R + +--R 2cos(b x + a) - 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 14cos(b x + a) + 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R - 12cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 +--R 14cos(b x + a) - 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R 12cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 5 +--R - 14cos(c - a)cos(b x + a) +--R + +--R 4 +--R 2cos(c - a)cos(b x + a) +--R + +--R 3 +--R 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 +--R 14cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 4cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 5 4 +--R - 7cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 2cos(c - a)cos(b x + a) - 6cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 +--R 7cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 2cos(c - a)cos(b x + a) + 6cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R sin(b x + a) +--R + +--R 6 2 2 6 +--R (3cos(b x + a) - cos(b x + a) )cos(b x + c) - 3cos(b x + a) +--R + +--R 2 +--R cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 4 +--R 12cos(c - a)cos(b x + a) sin(b x + a) +--R + +--R 4 3 +--R - 42cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R 2 +--R 18cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R 6cos(c - a)cos(b x + a) + 3cos(c - a)cos(b x + a) +--R + +--R 4 +--R - 6cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 5 +--R (2cos(b x + c) - 2)sin(b x + a) +--R + +--R 2 2 2 +--R (8cos(b x + a) cos(b x + c) - 8cos(b x + a) )cot(b x + c) +--R * +--R csc(b x + c)sin(c - a) +--R + +--R 2 2 +--R 8cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 2 +--R - 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 2 2 +--R 4cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 2 +--R - 4cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 4 +--R sin(b x + a) +--R + +--R 2 2 +--R (5cos(b x + a) - 14cos(b x + a) - 2)cos(b x + c) +--R + +--R 2 +--R - 5cos(b x + a) + 14cos(b x + a) + 2 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R - 28cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R - 8cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 28cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R 8cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 4 +--R - 28cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R 28cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 4 +--R - 14cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 4cos(c - a)cos(b x + a) + 6cos(c - a)cos(b x + a) +--R + +--R - 4cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R 14cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 6cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 4 3 2 +--R - 17cos(b x + a) - 4cos(b x + a) + 9cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 17cos(b x + a) + 4cos(b x + a) - 9cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R 4cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 4 +--R - 4cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 6 5 +--R 4cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 4 +--R - 4cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R - 4cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 4 +--R 4cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 4 +--R - 2cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 4 +--R 2cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 2 +--R - 24cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R 12cos(c - a)cos(b x + a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 +--R 21cos(c - a)cos(b x + a) + 15cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 24cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R 3cos(c - a)cos(b x + a) - 3cos(c - a) +--R * +--R sin(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 2 +--R (- 12cos(b x + a) - 4cos(b x + a) - 2)cos(b x + c) +--R + +--R 2 +--R 12cos(b x + a) + 4cos(b x + a) + 2 +--R * +--R 4 +--R sin(b x + a) +--R + +--R 3 2 +--R (- 16cos(b x + a) - 8cos(b x + a) + 8cos(b x + a)) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R 16cos(b x + a) + 8cos(b x + a) - 8cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 3 +--R - 16cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 8cos(c - a)cos(b x + a) +--R + +--R 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R 16cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 3 2 +--R - 8cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 4cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R 8cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - 4cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R - 9cos(b x + a) - 25cos(b x + a) + 4cos(b x + a) +--R + +--R 14cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 9cos(b x + a) + 25cos(b x + a) - 4cos(b x + a) +--R + +--R - 14cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R 14cos(b x + a) + 10cos(b x + a) - 16cos(b x + a) +--R + +--R 2 +--R - 8cos(b x + a) + 2cos(b x + a) - 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 +--R - 14cos(b x + a) - 10cos(b x + a) + 16cos(b x + a) +--R + +--R 2 +--R 8cos(b x + a) - 2cos(b x + a) + 2 +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 5 +--R 14cos(c - a)cos(b x + a) +--R + +--R 4 +--R 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 16cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 8cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a)cos(b x + a) - 2cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 +--R - 14cos(c - a)cos(b x + a) +--R + +--R 4 +--R - 10cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 16cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a)cos(b x + a) + 2cos(c - a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 5 4 +--R 7cos(c - a)cos(b x + a) + 5cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 8cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R cos(c - a)cos(b x + a) - cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 +--R - 7cos(c - a)cos(b x + a) - 5cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 8cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - cos(c - a)cos(b x + a) + cos(c - a) +--R * +--R csc(b x + c) +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R 3cos(b x + a) + 9cos(b x + a) + 3cos(b x + a) +--R + +--R 3 2 +--R - 7cos(b x + a) - 4cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 4 +--R - 3cos(b x + a) - 9cos(b x + a) - 3cos(b x + a) +--R + +--R 3 2 +--R 7cos(b x + a) + 4cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 4 3 +--R 15cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 18cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R 3cos(c - a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 6cos(c - a)cos(b x + a) + 6cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R * +--R sin(b x + c) +--R + +--R 3 2 +--R (12cos(b x + a) + cos(b x + a) - 10cos(b x + a) - 1) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R - 12cos(b x + a) - cos(b x + a) + 10cos(b x + a) + 1 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R 10cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R - 8cos(b x + a) + 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R - 10cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R 8cos(b x + a) - 2 +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 4 +--R 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) +--R + +--R - 8cos(c - a)cos(b x + a) + 2cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 +--R - 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 4 3 +--R 5cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 6cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R - 5cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R 6cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - cos(c - a) +--R * +--R csc(b x + c) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 19cos(b x + a) - 8cos(b x + a) +--R + +--R 2 +--R - 18cos(b x + a) + 3 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 19cos(b x + a) + 8cos(b x + a) +--R + +--R 2 +--R 18cos(b x + a) - 3 +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 3 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 4 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 3 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 6 5 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R tan(c - a) +--R + +--R 5 4 +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 6cos(c - a)cos(b x + a) + 6cos(c - a)cos(b x + a) +--R + +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a) +--R * +--R sin(b x + a)sin(b x + c) +--R + +--R 4 3 2 +--R - 3cos(b x + a) + cos(b x + a) + 7cos(b x + a) +--R + +--R cos(b x + a) - 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 3cos(b x + a) - cos(b x + a) - 7cos(b x + a) - cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2 +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 5 4 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a)cos(b x + a) + 2cos(c - a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 5 4 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R - cos(c - a)cos(b x + a) - cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R cos(c - a)cos(b x + a) + cos(c - a) +--R * +--R csc(b x + c) +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R - 3cos(b x + a) - 3cos(b x + a) + 6cos(b x + a) +--R + +--R 3 2 +--R 6cos(b x + a) - 3cos(b x + a) - 3cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 4 3 +--R 3cos(b x + a) + 3cos(b x + a) - 6cos(b x + a) - 6cos(b x + a) +--R + +--R 2 +--R 3cos(b x + a) + 3cos(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 5 +--R 3cos(c - a)cos(b x + a) sin(b x + a)sin(b x + c) +--R + +--R 3 2 3 2 +--R (2cos(b x + a) cos(b x + c) - 2cos(b x + a) )sin(b x + a) +--R + +--R 5 2 5 +--R (2cos(b x + a) cos(b x + c) - 2cos(b x + a) )cot(b x + c) +--R * +--R csc(b x + c)sin(c - a) +--R + +--R 5 2 +--R 2cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 5 +--R - 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 5 2 5 +--R cos(c - a)cos(b x + a) cos(b x + c) - cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R sin(b x + a) +--R * +--R 8 +--R tan(c - a) +--R + +--R 4 2 6 +--R 15cos(c - a)cos(b x + a) sin(b x + a) - 3cos(c - a)cos(b x + a) +--R + +--R 5 +--R - 3cos(c - a)cos(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 2 2 3 +--R (4cos(b x + a) cos(b x + c) - 4cos(b x + a) )sin(b x + a) +--R + +--R 4 2 4 +--R (10cos(b x + a) cos(b x + c) - 10cos(b x + a) )cot(b x + c) +--R * +--R csc(b x + c)sin(c - a) +--R + +--R 4 2 +--R 10cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 4 +--R - 10cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 4 2 +--R 5cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 4 +--R - 5cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 4 3 2 4 +--R (- 2cos(b x + a) - 2cos(b x + a) )cos(b x + c) + 2cos(b x + a) +--R + +--R 3 +--R 2cos(b x + a) +--R * +--R sin(b x + a) +--R + +--R 6 5 2 6 +--R (- 2cos(b x + a) - 2cos(b x + a) )cos(b x + c) + 2cos(b x + a) +--R + +--R 5 +--R 2cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 6 5 +--R (- 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) ) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 6 5 +--R (- cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) ) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 7 +--R tan(c - a) +--R + +--R 3 3 +--R 24cos(c - a)cos(b x + a) sin(b x + a) +--R + +--R 5 4 +--R - 18cos(c - a)cos(b x + a) - 15cos(c - a)cos(b x + a) +--R + +--R 3 +--R 6cos(c - a)cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 4 +--R (4cos(b x + a)cos(b x + c) - 4cos(b x + a))sin(b x + a) +--R + +--R 3 2 3 +--R (16cos(b x + a) cos(b x + c) - 16cos(b x + a) )cot(b x + c) +--R * +--R csc(b x + c)sin(c - a) +--R + +--R 3 2 +--R 16cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 3 +--R - 16cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 3 2 +--R 8cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 3 +--R - 8cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R - 3cos(b x + a) + 6cos(b x + a) - 4cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 3cos(b x + a) - 6cos(b x + a) + 4cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R (- 12cos(b x + a) - 10cos(b x + a) + 4cos(b x + a) ) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 10cos(b x + a) - 4cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 5 +--R - 12cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 10cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 +--R 12cos(c - a)cos(b x + a) + 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 4cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 5 4 +--R - 6cos(c - a)cos(b x + a) - 5cos(c - a)cos(b x + a) +--R + +--R 3 +--R 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 +--R 6cos(c - a)cos(b x + a) + 5cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 2cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R sin(b x + a) +--R + +--R 6 4 2 6 +--R (- 3cos(b x + a) + 3cos(b x + a) )cos(b x + c) + 3cos(b x + a) +--R + +--R 4 +--R - 3cos(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 2 4 +--R 12cos(c - a)cos(b x + a) sin(b x + a) +--R + +--R 4 3 +--R - 27cos(c - a)cos(b x + a) - 24cos(c - a)cos(b x + a) +--R + +--R 2 +--R 18cos(c - a)cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R 3cos(c - a)cos(b x + a) + 3cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 6cos(c - a)cos(b x + a) - 6cos(c - a)cos(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 5 +--R (2cos(b x + c) - 2)sin(b x + a) +--R + +--R 2 2 2 +--R (8cos(b x + a) cos(b x + c) - 8cos(b x + a) )cot(b x + c) +--R * +--R csc(b x + c)sin(c - a) +--R + +--R 2 2 +--R 8cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 2 +--R - 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 2 2 +--R 4cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 2 +--R - 4cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 4 +--R sin(b x + a) +--R + +--R 3 2 +--R (- 12cos(b x + a) + 9cos(b x + a) - 4cos(b x + a) - 2) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R 12cos(b x + a) - 9cos(b x + a) + 4cos(b x + a) + 2 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R (- 18cos(b x + a) - 16cos(b x + a) + 12cos(b x + a) ) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 18cos(b x + a) + 16cos(b x + a) - 12cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 4 +--R - 18cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 16cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R 18cos(c - a)cos(b x + a) + 16cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 4 3 +--R - 9cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R 6cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R 9cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 6cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 19cos(b x + a) + 2cos(b x + a) +--R + +--R 2 +--R 9cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 19cos(b x + a) - 2cos(b x + a) +--R + +--R 2 +--R - 9cos(b x + a) - 2cos(b x + a) +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 3 +--R - 4cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) + 4cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 6 5 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 +--R (- 12cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a)) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 +--R 3cos(c - a)cos(b x + a) - 18cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 18cos(c - a)cos(b x + a) + 3cos(c - a)cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 2 2 +--R ((- 12cos(b x + a) - 2)cos(b x + c) + 12cos(b x + a) + 2) +--R * +--R 4 +--R sin(b x + a) +--R + +--R 2 2 +--R (- 8cos(b x + a) + 8cos(b x + a))cos(b x + c) +--R + +--R 2 +--R 8cos(b x + a) - 8cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 2 +--R (- 8cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a)) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 2 +--R 8cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 2 +--R (- 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a)) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 2 +--R 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R - 9cos(b x + a) - 21cos(b x + a) - 7cos(b x + a) +--R + +--R 12cos(b x + a) + 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 9cos(b x + a) + 21cos(b x + a) + 7cos(b x + a) +--R + +--R - 12cos(b x + a) - 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 4 3 2 +--R 2cos(b x + a) - 12cos(b x + a) - 12cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R - 2cos(b x + a) + 12cos(b x + a) + 12cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 4 3 +--R 2cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R - 2cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 4 3 +--R cos(c - a)cos(b x + a) - 6cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 6cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R - cos(c - a)cos(b x + a) + 6cos(c - a)cos(b x + a) +--R + +--R 2 +--R 6cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R sin(b x + a) +--R + +--R 6 5 3 2 +--R (3cos(b x + a) + 9cos(b x + a) - 7cos(b x + a) - cos(b x + a) ) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 3 2 +--R - 3cos(b x + a) - 9cos(b x + a) + 7cos(b x + a) + cos(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 4 +--R 12cos(c - a)cos(b x + a) sin(b x + a) +--R + +--R 4 3 +--R - 27cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R - 12cos(c - a)cos(b x + a) + 3cos(c - a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R 3cos(c - a)cos(b x + a) + 3cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 5 +--R (2cos(b x + c) - 2)sin(b x + a) +--R + +--R 2 2 2 +--R (8cos(b x + a) cos(b x + c) - 8cos(b x + a) )cot(b x + c) +--R * +--R csc(b x + c)sin(c - a) +--R + +--R 2 2 +--R 8cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 2 +--R - 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 2 2 +--R 4cos(c - a)cos(b x + a) cos(b x + c) +--R + +--R 2 +--R - 4cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 4 +--R sin(b x + a) +--R + +--R 2 2 +--R (6cos(b x + a) - 14cos(b x + a) - 3)cos(b x + c) +--R + +--R 2 +--R - 6cos(b x + a) + 14cos(b x + a) + 3 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 +--R (- 18cos(b x + a) - 8cos(b x + a) - 8cos(b x + a) + 2) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R 18cos(b x + a) + 8cos(b x + a) + 8cos(b x + a) - 2 +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 4 +--R - 18cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 8cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R 18cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 8cos(c - a)cos(b x + a) - 2cos(c - a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 4 3 +--R - 9cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R - 4cos(c - a)cos(b x + a) + cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R 9cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 4cos(c - a)cos(b x + a) - cos(c - a) +--R * +--R csc(b x + c) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 4 3 2 +--R 2cos(b x + a) - 4cos(b x + a) - 9cos(b x + a) +--R + +--R 2cos(b x + a) + 3 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R - 2cos(b x + a) + 4cos(b x + a) + 9cos(b x + a) +--R + +--R - 2cos(b x + a) - 3 +--R * +--R sin(b x + a) +--R + +--R 6 5 2 +--R 2cos(b x + a) + 2cos(b x + a) - 2cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 2 +--R - 2cos(b x + a) - 2cos(b x + a) + 2cos(b x + a) + 2cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 6 5 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 2 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 2 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 2 +--R - 24cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R 12cos(c - a)cos(b x + a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 +--R 18cos(c - a)cos(b x + a) + 15cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 18cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R - 3cos(c - a) +--R * +--R sin(b x + a) +--R * +--R sin(b x + c) +--R + +--R 2 2 +--R (- 12cos(b x + a) - 4cos(b x + a) - 2)cos(b x + c) +--R + +--R 2 +--R 12cos(b x + a) + 4cos(b x + a) + 2 +--R * +--R 4 +--R sin(b x + a) +--R + +--R 3 2 +--R (- 16cos(b x + a) - 8cos(b x + a) + 8cos(b x + a)) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R 16cos(b x + a) + 8cos(b x + a) - 8cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 3 +--R - 16cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 8cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R 16cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 8cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 3 2 +--R - 8cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 4cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R 8cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - 4cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R - 9cos(b x + a) - 24cos(b x + a) + 4cos(b x + a) +--R + +--R 15cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 9cos(b x + a) + 24cos(b x + a) - 4cos(b x + a) - 15cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 10cos(b x + a) - 12cos(b x + a) +--R + +--R 2 +--R - 8cos(b x + a) - 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 10cos(b x + a) + 12cos(b x + a) +--R + +--R 2 +--R 8cos(b x + a) + 2 +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 5 4 +--R 12cos(c - a)cos(b x + a) + 10cos(c - a)cos(b x + a) +--R + +--R 3 +--R - 12cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 8cos(c - a)cos(b x + a) - 2cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 +--R - 12cos(c - a)cos(b x + a) - 10cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 12cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 5 4 +--R 6cos(c - a)cos(b x + a) + 5cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 6cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R - cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 +--R - 6cos(c - a)cos(b x + a) - 5cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 6cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R cos(c - a) +--R * +--R csc(b x + c) +--R * +--R sin(b x + a) +--R + +--R 6 5 4 3 +--R 3cos(b x + a) + 6cos(b x + a) + 3cos(b x + a) - cos(b x + a) +--R + +--R 2 +--R - 4cos(b x + a) - 3cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 4 3 +--R - 3cos(b x + a) - 6cos(b x + a) - 3cos(b x + a) + cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) + 3cos(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 4 3 +--R 15cos(c - a)cos(b x + a) + 12cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 18cos(c - a)cos(b x + a) - 12cos(c - a)cos(b x + a) +--R + +--R 3cos(c - a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 6cos(c - a)cos(b x + a) + 6cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R * +--R sin(b x + c) +--R + +--R 3 2 +--R (12cos(b x + a) + cos(b x + a) - 10cos(b x + a) - 1) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R - 12cos(b x + a) - cos(b x + a) + 10cos(b x + a) + 1 +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R 10cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R - 8cos(b x + a) + 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R - 10cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R 8cos(b x + a) - 2 +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 4 3 +--R 10cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 12cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R - 10cos(c - a)cos(b x + a) - 8cos(c - a)cos(b x + a) +--R + +--R 2 +--R 12cos(c - a)cos(b x + a) + 8cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 4 3 +--R 5cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 6cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R - 5cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R 6cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) - cos(c - a) +--R * +--R csc(b x + c) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 19cos(b x + a) - 8cos(b x + a) +--R + +--R 2 +--R - 18cos(b x + a) + 3 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 19cos(b x + a) + 8cos(b x + a) +--R + +--R 2 +--R 18cos(b x + a) - 3 +--R * +--R sin(b x + a) +--R + +--R 6 5 4 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 3 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R 2cos(b x + a) + 2cos(b x + a) +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 6 5 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 6 5 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 4 3 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 2 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R * +--R csc(b x + c) +--R * +--R tan(c - a) +--R + +--R 5 4 +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 6cos(c - a)cos(b x + a) + 6cos(c - a)cos(b x + a) +--R + +--R - 3cos(c - a)cos(b x + a) - 3cos(c - a) +--R * +--R sin(b x + a)sin(b x + c) +--R + +--R 4 3 2 +--R - 3cos(b x + a) + cos(b x + a) + 7cos(b x + a) + cos(b x + a) +--R + +--R - 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 3cos(b x + a) - cos(b x + a) - 7cos(b x + a) - cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 2 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) +--R + +--R 2cos(b x + a) + 2 +--R * +--R cot(b x + c)csc(b x + c)sin(c - a) +--R + +--R 5 4 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 4cos(c - a)cos(b x + a) + 4cos(c - a)cos(b x + a) +--R + +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 4cos(c - a)cos(b x + a) - 4cos(c - a)cos(b x + a) +--R + +--R 2cos(c - a)cos(b x + a) + 2cos(c - a) +--R * +--R 2 +--R cot(b x + c) +--R + +--R 5 4 +--R - cos(c - a)cos(b x + a) - cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R 2cos(c - a)cos(b x + a) + 2cos(c - a)cos(b x + a) +--R + +--R - cos(c - a)cos(b x + a) - cos(c - a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 +--R cos(c - a)cos(b x + a) + cos(c - a)cos(b x + a) +--R + +--R 3 2 +--R - 2cos(c - a)cos(b x + a) - 2cos(c - a)cos(b x + a) +--R + +--R cos(c - a)cos(b x + a) + cos(c - a) +--R * +--R csc(b x + c) +--R * +--R sin(b x + a) +--R + +--R 6 5 4 3 +--R - 3cos(b x + a) - 3cos(b x + a) + 6cos(b x + a) + 6cos(b x + a) +--R + +--R 2 +--R - 3cos(b x + a) - 3cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 4 3 +--R 3cos(b x + a) + 3cos(b x + a) - 6cos(b x + a) - 6cos(b x + a) +--R + +--R 2 +--R 3cos(b x + a) + 3cos(b x + a) +--R / +--R 5 2 5 7 +--R (2cos(b x + a) cos(b x + c) - 2cos(b x + a) )tan(c - a) +--R + +--R 5 4 2 +--R (- 2cos(b x + a) + 10cos(b x + a) )cos(b x + c) +--R + +--R 5 4 +--R 2cos(b x + a) - 10cos(b x + a) +--R * +--R 6 +--R sin(b x + a)tan(c - a) +--R + +--R 4 3 2 +--R (- 10cos(b x + a) + 16cos(b x + a) )cos(b x + c) +--R + +--R 4 3 +--R 10cos(b x + a) - 16cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 3 2 +--R (2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) )cos(b x + c) +--R + +--R 6 5 3 +--R - 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 3 2 2 +--R (- 16cos(b x + a) + 8cos(b x + a) )cos(b x + c) +--R + +--R 3 2 +--R 16cos(b x + a) - 8cos(b x + a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 3 +--R 14cos(b x + a) - 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R 12cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 +--R - 14cos(b x + a) + 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R - 12cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 2 2 4 +--R (- 8cos(b x + a) cos(b x + c) + 8cos(b x + a) )sin(b x + a) +--R + +--R 4 3 2 +--R 28cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R 8cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R - 28cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R - 8cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 +--R - 4cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 4 +--R 4cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 2cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 2 +--R (16cos(b x + a) + 8cos(b x + a) - 8cos(b x + a)) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 3 2 +--R - 16cos(b x + a) - 8cos(b x + a) + 8cos(b x + a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 14cos(b x + a) - 10cos(b x + a) + 16cos(b x + a) +--R + +--R 2 +--R 8cos(b x + a) - 2cos(b x + a) + 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 +--R 14cos(b x + a) + 10cos(b x + a) - 16cos(b x + a) +--R + +--R 2 +--R - 8cos(b x + a) + 2cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 4 3 2 +--R - 10cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R 8cos(b x + a) - 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 10cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R - 8cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 3 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 4 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 3 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R - 4cos(b x + a) + 2cos(b x + a) + 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R 4cos(b x + a) - 2cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R +---------------+ +--R | 2 +--R \|tan(c - a) + 1 +--R + +--R 5 2 5 8 +--R (- 2cos(b x + a) cos(b x + c) + 2cos(b x + a) )sin(b x + a)tan(c - a) +--R + +--R 4 2 4 2 +--R (- 10cos(b x + a) cos(b x + c) + 10cos(b x + a) )sin(b x + a) +--R + +--R 6 5 2 6 +--R (2cos(b x + a) + 2cos(b x + a) )cos(b x + c) - 2cos(b x + a) +--R + +--R 5 +--R - 2cos(b x + a) +--R * +--R 7 +--R tan(c - a) +--R + +--R 3 2 3 3 +--R (- 16cos(b x + a) cos(b x + c) + 16cos(b x + a) )sin(b x + a) +--R + +--R 5 4 3 2 +--R (12cos(b x + a) + 10cos(b x + a) - 4cos(b x + a) )cos(b x + c) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 10cos(b x + a) + 4cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 6 +--R tan(c - a) +--R + +--R 2 2 2 4 +--R (- 8cos(b x + a) cos(b x + c) + 8cos(b x + a) )sin(b x + a) +--R + +--R 4 3 2 +--R (18cos(b x + a) + 16cos(b x + a) - 12cos(b x + a) ) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R - 18cos(b x + a) - 16cos(b x + a) + 12cos(b x + a) +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) +--R + +--R 3 +--R 4cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) +--R * +--R 5 +--R tan(c - a) +--R + +--R 2 2 2 +--R (8cos(b x + a) - 8cos(b x + a))cos(b x + c) - 8cos(b x + a) +--R + +--R 8cos(b x + a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 4 3 2 +--R - 2cos(b x + a) + 12cos(b x + a) + 12cos(b x + a) +--R + +--R - 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 2cos(b x + a) - 12cos(b x + a) - 12cos(b x + a) + 2cos(b x + a) +--R * +--R sin(b x + a) +--R * +--R 4 +--R tan(c - a) +--R + +--R 2 2 2 4 +--R (- 8cos(b x + a) cos(b x + c) + 8cos(b x + a) )sin(b x + a) +--R + +--R 4 3 +--R (18cos(b x + a) + 8cos(b x + a) + 8cos(b x + a) - 2) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 +--R - 18cos(b x + a) - 8cos(b x + a) - 8cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 2 +--R - 2cos(b x + a) - 2cos(b x + a) + 2cos(b x + a) +--R + +--R 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 2 +--R 2cos(b x + a) + 2cos(b x + a) - 2cos(b x + a) - 2cos(b x + a) +--R * +--R 3 +--R tan(c - a) +--R + +--R 3 2 2 +--R (16cos(b x + a) + 8cos(b x + a) - 8cos(b x + a))cos(b x + c) +--R + +--R 3 2 +--R - 16cos(b x + a) - 8cos(b x + a) + 8cos(b x + a) +--R * +--R 3 +--R sin(b x + a) +--R + +--R 5 4 3 +--R - 12cos(b x + a) - 10cos(b x + a) + 12cos(b x + a) +--R + +--R 2 +--R 8cos(b x + a) + 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 +--R 12cos(b x + a) + 10cos(b x + a) - 12cos(b x + a) +--R + +--R 2 +--R - 8cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R * +--R 2 +--R tan(c - a) +--R + +--R 4 3 2 +--R - 10cos(b x + a) - 8cos(b x + a) + 12cos(b x + a) +--R + +--R 8cos(b x + a) - 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 4 3 2 +--R 10cos(b x + a) + 8cos(b x + a) - 12cos(b x + a) +--R + +--R - 8cos(b x + a) + 2 +--R * +--R 2 +--R sin(b x + a) +--R + +--R 6 5 4 3 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) +--R + +--R 2 +--R 2cos(b x + a) + 2cos(b x + a) +--R * +--R 2 +--R cos(b x + c) +--R + +--R 6 5 4 3 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) + 4cos(b x + a) +--R + +--R 2 +--R - 2cos(b x + a) - 2cos(b x + a) +--R * +--R tan(c - a) +--R + +--R 5 4 3 2 +--R 2cos(b x + a) + 2cos(b x + a) - 4cos(b x + a) - 4cos(b x + a) +--R + +--R 2cos(b x + a) + 2 +--R * +--R 2 +--R cos(b x + c) +--R + +--R 5 4 3 2 +--R - 2cos(b x + a) - 2cos(b x + a) + 4cos(b x + a) + 4cos(b x + a) +--R + +--R - 2cos(b x + a) - 2 +--R * +--R sin(b x + a) +--R Type: Expression Integer +--E 512 + +--S 513 of 532 +t0796:= cos(a+b*x)*sec(c+b*x) +--R +--R +--R (482) cos(b x + a)sec(b x + c) +--R Type: Expression Integer +--E 513 + +--S 514 of 532 +r0796:= x*cos(a-c)+log(cos(c+b*x))*sin(a-c)/b +--R +--R +--R - sin(c - a)log(cos(b x + c)) + b x cos(c - a) +--R (483) ---------------------------------------------- +--R b +--R Type: Expression Integer +--E 514 + +--S 515 of 532 +a0796:= integrate(t0796,x) +--R +--R +--R (484) +--R c - a 2 c - a 2cos(b x + c) +--R 2tan(-----)log(----------------) - 2tan(-----)log(- ----------------) +--R 2 cos(b x + c) + 1 2 cos(b x + c) + 1 +--R + +--R c - a 2 +--R - b x tan(-----) + b x +--R 2 +--R / +--R c - a 2 +--R b tan(-----) + b +--R 2 +--R Type: Union(Expression Integer,...) +--E 515 + +--S 516 of 532 +m0796:= a0796-r0796 +--R +--R +--R (485) +--R c - a 2 +--R (sin(c - a)tan(-----) + sin(c - a))log(cos(b x + c)) +--R 2 +--R + +--R c - a 2 c - a 2cos(b x + c) +--R 2tan(-----)log(----------------) - 2tan(-----)log(- ----------------) +--R 2 cos(b x + c) + 1 2 cos(b x + c) + 1 +--R + +--R c - a 2 +--R (- b x cos(c - a) - b x)tan(-----) - b x cos(c - a) + b x +--R 2 +--R / +--R c - a 2 +--R b tan(-----) + b +--R 2 +--R Type: Expression Integer +--E 516 + +--S 517 of 532 +d0796:= D(m0796,x) +--R +--R +--R (486) +--R c - a 2 +--R (- sin(c - a)sin(b x + c) + (- cos(c - a) - 1)cos(b x + c))tan(-----) +--R 2 +--R + +--R c - a +--R 2sin(b x + c)tan(-----) - sin(c - a)sin(b x + c) +--R 2 +--R + +--R (- cos(c - a) + 1)cos(b x + c) +--R / +--R c - a 2 +--R cos(b x + c)tan(-----) + cos(b x + c) +--R 2 +--R Type: Expression Integer +--E 517 + +--S 518 of 532 +t0797:= cos(a+b*x)*sec(c+b*x)^2 +--R +--R +--R 2 +--R (487) cos(b x + a)sec(b x + c) +--R Type: Expression Integer +--E 518 + +--S 519 of 532 +r0797:= atanh(sin(c+b*x))*cos(a-c)/b-sec(c+b*x)*sin(a-c)/b +--R +--R +--R cos(c - a)atanh(sin(b x + c)) + sec(b x + c)sin(c - a) +--R (488) ------------------------------------------------------ +--R b +--R Type: Expression Integer +--E 519 + +--S 520 of 532 +a0797:= integrate(t0797,x) +--R +--R +--R (489) +--R c - a 2 +--R (- cos(b x + c)tan(-----) + cos(b x + c)) +--R 2 +--R * +--R sin(b x + c) + cos(b x + c) + 1 +--R log(-------------------------------) +--R cos(b x + c) + 1 +--R + +--R c - a 2 +--R (cos(b x + c)tan(-----) - cos(b x + c)) +--R 2 +--R * +--R sin(b x + c) - cos(b x + c) - 1 +--R log(-------------------------------) +--R cos(b x + c) + 1 +--R + +--R c - a +--R (2cos(b x + c) + 2)tan(-----) +--R 2 +--R / +--R c - a 2 +--R b cos(b x + c)tan(-----) + b cos(b x + c) +--R 2 +--R Type: Union(Expression Integer,...) +--E 520 + +--S 521 of 532 +m0797:= a0797-r0797 +--R +--R +--R (490) +--R c - a 2 +--R (- cos(b x + c)tan(-----) + cos(b x + c)) +--R 2 +--R * +--R sin(b x + c) + cos(b x + c) + 1 +--R log(-------------------------------) +--R cos(b x + c) + 1 +--R + +--R c - a 2 +--R (cos(b x + c)tan(-----) - cos(b x + c)) +--R 2 +--R * +--R sin(b x + c) - cos(b x + c) - 1 +--R log(-------------------------------) +--R cos(b x + c) + 1 +--R + +--R c - a 2 +--R (- cos(c - a)cos(b x + c)tan(-----) - cos(c - a)cos(b x + c)) +--R 2 +--R * +--R atanh(sin(b x + c)) +--R + +--R c - a 2 +--R - cos(b x + c)sec(b x + c)sin(c - a)tan(-----) +--R 2 +--R + +--R c - a +--R (2cos(b x + c) + 2)tan(-----) - cos(b x + c)sec(b x + c)sin(c - a) +--R 2 +--R / +--R c - a 2 +--R b cos(b x + c)tan(-----) + b cos(b x + c) +--R 2 +--R Type: Expression Integer +--E 521 + +--S 522 of 532 +d0797:= D(m0797,x) +--R +--R +--R (491) +--R 2 4 +--R - cos(b x + c) sec(b x + c)sin(c - a)sin(b x + c) +--R + +--R 4 3 2 +--R (cos(b x + c) + 2cos(b x + c) + 2cos(b x + c) )sec(b x + c) +--R * +--R 2 +--R sin(c - a)sin(b x + c) +--R + +--R 4 3 2 +--R (- cos(b x + c) - 2cos(b x + c) - cos(b x + c) )sec(b x + c) +--R * +--R sin(c - a) +--R * +--R c - a 2 +--R tan(-----) +--R 2 +--R + +--R 2 4 +--R - cos(b x + c) sec(b x + c)sin(c - a)sin(b x + c) +--R + +--R 4 3 2 +--R (cos(b x + c) + 2cos(b x + c) + 2cos(b x + c) )sec(b x + c) +--R * +--R 2 +--R sin(c - a)sin(b x + c) +--R + +--R 4 3 2 +--R (- cos(b x + c) - 2cos(b x + c) - cos(b x + c) )sec(b x + c) +--R * +--R sin(c - a) +--R * +--R tan(b x + c) +--R + +--R 2 4 +--R 2cos(b x + c) sin(b x + c) +--R + +--R 4 3 2 +--R (2cos(b x + c) + (cos(c - a) + 2)cos(b x + c) - 2cos(b x + c) ) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 5 4 +--R - cos(c - a)cos(b x + c) + (- 2cos(c - a) - 2)cos(b x + c) +--R + +--R 3 +--R (- cos(c - a) - 2)cos(b x + c) +--R * +--R c - a 2 +--R tan(-----) +--R 2 +--R + +--R 5 2 3 +--R 2sin(b x + c) + (- 2cos(b x + c) - 4cos(b x + c) - 4)sin(b x + c) +--R + +--R 2 +--R (2cos(b x + c) + 4cos(b x + c) + 2)sin(b x + c) +--R * +--R c - a +--R tan(-----) +--R 2 +--R + +--R 2 4 +--R - 2cos(b x + c) sin(b x + c) +--R + +--R 4 3 2 +--R (- 2cos(b x + c) + (cos(c - a) - 2)cos(b x + c) + 2cos(b x + c) ) +--R * +--R 2 +--R sin(b x + c) +--R + +--R 5 4 +--R - cos(c - a)cos(b x + c) + (- 2cos(c - a) + 2)cos(b x + c) +--R + +--R 3 +--R (- cos(c - a) + 2)cos(b x + c) +--R / +--R 2 4 +--R cos(b x + c) sin(b x + c) +--R + +--R 4 3 2 2 +--R (- cos(b x + c) - 2cos(b x + c) - 2cos(b x + c) )sin(b x + c) +--R + +--R 4 3 2 +--R cos(b x + c) + 2cos(b x + c) + cos(b x + c) +--R * +--R c - a 2 +--R tan(-----) +--R 2 +--R + +--R 2 4 +--R cos(b x + c) sin(b x + c) +--R + +--R 4 3 2 2 +--R (- cos(b x + c) - 2cos(b x + c) - 2cos(b x + c) )sin(b x + c) +--R + +--R 4 3 2 +--R cos(b x + c) + 2cos(b x + c) + cos(b x + c) +--R Type: Expression Integer +--E 522 + +--S 523 of 532 +t0798:= cos(a+b*x)*sec(c+b*x)^3 +--R +--R +--R 3 +--R (492) cos(b x + a)sec(b x + c) +--R Type: Expression Integer +--E 523 + +--S 524 of 532 +r0798:= -1/2*sec(c+b*x)^2*sin(a-c)/b+cos(a-c)*tan(c+b*x)/b +--R +--R +--R 2 +--R 2cos(c - a)tan(b x + c) + sec(b x + c) sin(c - a) +--R (493) ------------------------------------------------- +--R 2b +--R Type: Expression Integer +--E 524 + +--S 525 of 532 +a0798:= integrate(t0798,x) +--R +--R +--R (494) +--R c - a 2 2 c - a +--R - cos(b x + c)sin(b x + c)tan(-----) + (- cos(b x + c) + 1)tan(-----) +--R 2 2 +--R + +--R cos(b x + c)sin(b x + c) +--R / +--R 2 c - a 2 2 +--R b cos(b x + c) tan(-----) + b cos(b x + c) +--R 2 +--R Type: Union(Expression Integer,...) +--E 525 + +--S 526 of 532 +m0798:= a0798-r0798 +--R +--R +--R (495) +--R 2 c - a 2 2 +--R (- 2cos(c - a)cos(b x + c) tan(-----) - 2cos(c - a)cos(b x + c) ) +--R 2 +--R * +--R tan(b x + c) +--R + +--R 2 2 +--R (- 2cos(b x + c)sin(b x + c) - cos(b x + c) sec(b x + c) sin(c - a)) +--R * +--R c - a 2 +--R tan(-----) +--R 2 +--R + +--R 2 c - a +--R (- 2cos(b x + c) + 2)tan(-----) + 2cos(b x + c)sin(b x + c) +--R 2 +--R + +--R 2 2 +--R - cos(b x + c) sec(b x + c) sin(c - a) +--R / +--R 2 c - a 2 2 +--R 2b cos(b x + c) tan(-----) + 2b cos(b x + c) +--R 2 +--R Type: Expression Integer +--E 526 + +--S 527 of 532 +d0798:= D(m0798,x) +--R +--R +--R (496) +--R 3 c - a 2 3 +--R (- cos(c - a)cos(b x + c) tan(-----) - cos(c - a)cos(b x + c) ) +--R 2 +--R * +--R 2 +--R tan(b x + c) +--R + +--R 3 2 c - a 2 +--R - cos(b x + c) sec(b x + c) sin(c - a)tan(-----) +--R 2 +--R + +--R 3 2 +--R - cos(b x + c) sec(b x + c) sin(c - a) +--R * +--R tan(b x + c) +--R + +--R 2 3 +--R (- cos(b x + c)sin(b x + c) + (- cos(c - a) - 1)cos(b x + c) ) +--R * +--R c - a 2 +--R tan(-----) +--R 2 +--R + +--R c - a 2 +--R 2sin(b x + c)tan(-----) + cos(b x + c)sin(b x + c) +--R 2 +--R + +--R 3 +--R (- cos(c - a) + 1)cos(b x + c) +--R / +--R 3 c - a 2 3 +--R cos(b x + c) tan(-----) + cos(b x + c) +--R 2 +--R Type: Expression Integer +--E 527 + +--S 528 of 532 +t0799:= cos(a+b*x)*csc(c+b*x) +--R +--R +--R (497) cos(b x + a)csc(b x + c) +--R Type: Expression Integer +--E 528 + +--S 529 of 532 +r0799:= cos(a-c)*log(sin(c+b*x))/b-x*sin(a-c) +--R +--R +--R cos(c - a)log(sin(b x + c)) + b x sin(c - a) +--R (498) -------------------------------------------- +--R b +--R Type: Expression Integer +--E 529 + +--S 530 of 532 +a0799:= integrate(t0799,x) +--R +--R +--R (499) +--R c - a 2 sin(b x + c) +--R (- tan(-----) + 1)log(----------------) +--R 2 cos(b x + c) + 1 +--R + +--R c - a 2 2 c - a +--R (tan(-----) - 1)log(----------------) + 2b x tan(-----) +--R 2 cos(b x + c) + 1 2 +--R / +--R c - a 2 +--R b tan(-----) + b +--R 2 +--R Type: Union(Expression Integer,...) +--E 530 + +--S 531 of 532 +m0799:= a0799-r0799 +--R +--R +--R (500) +--R c - a 2 +--R (- cos(c - a)tan(-----) - cos(c - a))log(sin(b x + c)) +--R 2 +--R + +--R c - a 2 sin(b x + c) +--R (- tan(-----) + 1)log(----------------) +--R 2 cos(b x + c) + 1 +--R + +--R c - a 2 2 c - a 2 +--R (tan(-----) - 1)log(----------------) - b x sin(c - a)tan(-----) +--R 2 cos(b x + c) + 1 2 +--R + +--R c - a +--R 2b x tan(-----) - b x sin(c - a) +--R 2 +--R / +--R c - a 2 +--R b tan(-----) + b +--R 2 +--R Type: Expression Integer +--E 531 + +--S 532 of 532 +d0799:= D(m0799,x) +--R +--R +--R (501) +--R c - a 2 +--R (- sin(c - a)sin(b x + c) + (- cos(c - a) - 1)cos(b x + c))tan(-----) +--R 2 +--R + +--R c - a +--R 2sin(b x + c)tan(-----) - sin(c - a)sin(b x + c) +--R 2 +--R + +--R (- cos(c - a) + 1)cos(b x + c) +--R / +--R c - a 2 +--R sin(b x + c)tan(-----) + sin(b x + c) +--R 2 +--R Type: Expression Integer +--E 532 + +)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}