diff --git a/changelog b/changelog index 5d98be3..1f1c25a 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20100618 tpd src/axiom-website/patches.html 20100618.01.tpd.patch +20100618 tpd src/input/Makefile rule-based log integration +20100618 tpd src/input/richlog300-391.input rule-based log integration 20100617 tpd src/axiom-website/patches.html 20100617.03.tpd.patch 20100617 tpd src/input/Makefile rule-based log integration 20100617 tpd src/input/richlog200-299.input rule-based log integration diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index a46ac07..0a94193 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2914,6 +2914,8 @@ src/input/richlog000-099.input rule-based log integration
src/input/richlog100-199.input rule-based log integration
20100617.03.tpd.patch src/input/richlog200-299.input rule-based log integration
+20100618.01.tpd.patch +src/input/richlog300-391.input rule-based log integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index ca523b7..0230dc3 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -389,6 +389,7 @@ REGRES= ackermann.regress \ richlog000-099.regress \ richlog100-199.regress \ richlog200-299.regress \ + richlog300-391.regress \ richrational.regress \ richtrig000-099.regress \ richtrig100-199.regress \ @@ -732,6 +733,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richlog000-099.input \ ${OUT}/richlog100-199.input \ ${OUT}/richlog200-299.input \ + ${OUT}/richlog300-391.input \ ${OUT}/richrational.input \ ${OUT}/richtrig000-099.input \ ${OUT}/richtrig100-199.input \ @@ -1104,6 +1106,7 @@ DOCFILES= \ ${DOC}/richlog000-099.input.dvi \ ${DOC}/richlog100-199.input.dvi \ ${DOC}/richlog200-299.input.dvi \ + ${DOC}/richlog300-391.input.dvi \ ${DOC}/richrational.input.dvi \ ${DOC}/richtrig000-099.input.dvi \ ${DOC}/richtrig100-199.input.dvi \ diff --git a/src/input/richlog300-391.input.pamphlet b/src/input/richlog300-391.input.pamphlet new file mode 100644 index 0000000..477d994 --- /dev/null +++ b/src/input/richlog300-391.input.pamphlet @@ -0,0 +1,4751 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richlog300-391.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richlog300-391.output +)spool richlog300-391.output +)set message auto off +)clear all + +--S 1 of 460 +t0300:= 1/x/cos(a+b*log(c*x^n))^(5/2) +--R +--R +--R 1 +--R (1) ---------------------------------------------- +--R +--------------------+ +--R n 2 | n +--R x cos(b log(c x ) + a) \|cos(b log(c x ) + a) +--R Type: Expression Integer +--E 1 + +--S 2 of 460 +r0300:= 2/3*EllipticF(1/2*a+1/2*b*log(c*x^n),2)/b/n+_ + 2/3*sin(a+b*log(c*x^n))/b/n/cos(a+b*log(c*x^n))^(3/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 2 + +--S 3 of 460 +a0300:= integrate(t0300,x) +--R +--R +--R x +--R ++ 1 +--R (2) | ------------------------------------------------- d%R +--R ++ +---------------------+ +--R n 2 | n +--R %R cos(b log(c %R ) + a) \|cos(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 3 + +--S 4 of 460 +--m0300:= a0300-r0300 +--E 4 + +--S 5 of 460 +--d0300:= D(m0300,x) +--E 5 + +--S 6 of 460 +t0301:= sec(a+b*log(c*x^n))^(1/2)/x +--R +--R +--R +--------------------+ +--R | n +--R \|sec(b log(c x ) + a) +--R (3) ----------------------- +--R x +--R Type: Expression Integer +--E 6 + +--S 7 of 460 +r0301:= 2*cos(a+b*log(c*x^n))^(1/2)*EllipticF(1/2*a+1/2*b*log(c*x^n),2)*_ + sec(a+b*log(c*x^n))^(1/2)/b/n +--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 PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 7 + +--S 8 of 460 +a0301:= integrate(t0301,x) +--R +--R +--R +---------------------+ +--R x | n +--R ++ \|sec(b log(c %R ) + a) +--R (4) | ------------------------ d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 8 + +--S 9 of 460 +--m0301:= a0301-r0301 +--E 9 + +--S 10 of 460 +--d0301:= D(m0301,x) +--E 10 + +--S 11 of 460 +t0302:= sec(a+b*log(c*x^n))^(3/2)/x +--R +--R +--R +--------------------+ +--R n | n +--R sec(b log(c x ) + a)\|sec(b log(c x ) + a) +--R (5) ------------------------------------------- +--R x +--R Type: Expression Integer +--E 11 + +--S 12 of 460 +r0302:= -2*cos(a+b*log(c*x^n))^(1/2)*EllipticE(1/2*a+1/2*b*log(c*x^n),2)*_ + sec(a+b*log(c*x^n))^(1/2)/b/n+2*sec(a+b*log(c*x^n))^(1/2)*_ + sin(a+b*log(c*x^n))/b/n +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 12 + +--S 13 of 460 +a0302:= integrate(t0302,x) +--R +--R +--R +---------------------+ +--R x n | n +--R ++ sec(b log(c %R ) + a)\|sec(b log(c %R ) + a) +--R (6) | --------------------------------------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 13 + +--S 14 of 460 +--m0302:= a0302-r0302 +--E 14 + +--S 15 of 460 +--d0302:= D(m0302,x) +--E 15 + +--S 16 of 460 +t0303:= sec(a+b*log(c*x^n))^(5/2)/x +--R +--R +--R +--------------------+ +--R n 2 | n +--R sec(b log(c x ) + a) \|sec(b log(c x ) + a) +--R (7) -------------------------------------------- +--R x +--R Type: Expression Integer +--E 16 + +--S 17 of 460 +r0303:= 2/3*cos(a+b*log(c*x^n))^(1/2)*EllipticF(1/2*a+1/2*b*log(c*x^n),2)*_ + sec(a+b*log(c*x^n))^(1/2)/b/n+2/3*sec(a+b*log(c*x^n))^(3/2)*_ + sin(a+b*log(c*x^n))/b/n +--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 PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 17 + +--S 18 of 460 +a0303:= integrate(t0303,x) +--R +--R +--R +---------------------+ +--R x n 2 | n +--R ++ sec(b log(c %R ) + a) \|sec(b log(c %R ) + a) +--R (8) | ---------------------------------------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 18 + +--S 19 of 460 +--m0303:= a0303-r0303 +--E 19 + +--S 20 of 460 +--d0303:= D(m0303,x) +--E 20 + +--S 21 of 460 +t0304:= 1/x/sec(a+b*log(c*x^n))^(1/2) +--R +--R +--R 1 +--R (9) ------------------------ +--R +--------------------+ +--R | n +--R x\|sec(b log(c x ) + a) +--R Type: Expression Integer +--E 21 + +--S 22 of 460 +r0304:= 2*cos(a+b*log(c*x^n))^(1/2)*EllipticE(1/2*a+1/2*b*log(c*x^n),2)*_ + sec(a+b*log(c*x^n))^(1/2)/b/n +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 22 + +--S 23 of 460 +a0304:= integrate(t0304,x) +--R +--R +--R x +--R ++ 1 +--R (10) | -------------------------- d%R +--R ++ +---------------------+ +--R | n +--R %R\|sec(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 23 + +--S 24 of 460 +--m0304:= a0304-r0304 +--E 24 + +--S 25 of 460 +--d0304:= D(m0304,x) +--E 25 + +--S 26 of 460 +t0305:= 1/x/sec(a+b*log(c*x^n))^(3/2) +--R +--R +--R 1 +--R (11) --------------------------------------------- +--R +--------------------+ +--R n | n +--R x sec(b log(c x ) + a)\|sec(b log(c x ) + a) +--R Type: Expression Integer +--E 26 + +--S 27 of 460 +r0305:= 2/3*cos(a+b*log(c*x^n))^(1/2)*EllipticF(1/2*a+_ + 1/2*b*log(c*x^n),2)*sec(a+b*log(c*x^n))^(1/2)/b/n+_ + 2/3*sin(a+b*log(c*x^n))/b/n/sec(a+b*log(c*x^n))^(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 PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 27 + +--S 28 of 460 +a0305:= integrate(t0305,x) +--R +--R +--R x +--R ++ 1 +--R (12) | ------------------------------------------------ d%R +--R ++ +---------------------+ +--R n | n +--R %R sec(b log(c %R ) + a)\|sec(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 28 + +--S 29 of 460 +--m0305:= a0305-r0305 +--E 29 + +--S 30 of 460 +--d0305:= D(m0305,x) +--E 30 + +--S 31 of 460 +t0306:= 1/x/sec(a+b*log(c*x^n))^(5/2) +--R +--R +--R 1 +--R (13) ---------------------------------------------- +--R +--------------------+ +--R n 2 | n +--R x sec(b log(c x ) + a) \|sec(b log(c x ) + a) +--R Type: Expression Integer +--E 31 + +--S 32 of 460 +r0306:= 6/5*cos(a+b*log(c*x^n))^(1/2)*EllipticE(1/2*a+_ + 1/2*b*log(c*x^n),2)*sec(a+b*log(c*x^n))^(1/2)/b/n+_ + 2/5*sin(a+b*log(c*x^n))/b/n/sec(a+b*log(c*x^n))^(3/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 32 + +--S 33 of 460 +a0306:= integrate(t0306,x) +--R +--R +--R x +--R ++ 1 +--R (14) | ------------------------------------------------- d%R +--R ++ +---------------------+ +--R n 2 | n +--R %R sec(b log(c %R ) + a) \|sec(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 33 + +--S 34 of 460 +--m0306:= a0306-r0306 +--E 34 + +--S 35 of 460 +--d0306:= D(m0306,x) +--E 35 + +--S 36 of 460 +t0307:= csc(a+b*log(c*x^n))^(1/2)/x +--R +--R +--R +--------------------+ +--R | n +--R \|csc(b log(c x ) + a) +--R (15) ----------------------- +--R x +--R Type: Expression Integer +--E 36 + +--S 37 of 460 +r0307:= 2*csc(a+b*log(c*x^n))^(1/2)*EllipticF(1/2*a-1/4*%pi+_ + 1/2*b*log(c*x^n),2)*sin(a+b*log(c*x^n))^(1/2)/b/n +--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 PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 37 + +--S 38 of 460 +a0307:= integrate(t0307,x) +--R +--R +--R +---------------------+ +--R x | n +--R ++ \|csc(b log(c %R ) + a) +--R (16) | ------------------------ d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 38 + +--S 39 of 460 +--m0307:= a0307-r0307 +--E 39 + +--S 40 of 460 +--d0307:= D(m0307,x) +--E 40 + +--S 41 of 460 +t0308:= csc(a+b*log(c*x^n))^(3/2)/x +--R +--R +--R +--------------------+ +--R n | n +--R csc(b log(c x ) + a)\|csc(b log(c x ) + a) +--R (17) ------------------------------------------- +--R x +--R Type: Expression Integer +--E 41 + +--S 42 of 460 +r0308:= -2*cos(a+b*log(c*x^n))*csc(a+b*log(c*x^n))^(1/2)/b/n-_ + 2*csc(a+b*log(c*x^n))^(1/2)*EllipticE(1/2*a-1/4*%pi+_ + 1/2*b*log(c*x^n),2)*sin(a+b*log(c*x^n))^(1/2)/b/n +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 42 + +--S 43 of 460 +a0308:= integrate(t0308,x) +--R +--R +--R +---------------------+ +--R x n | n +--R ++ csc(b log(c %R ) + a)\|csc(b log(c %R ) + a) +--R (18) | --------------------------------------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 43 + +--S 44 of 460 +--m0308:= a0308-r0308 +--E 44 + +--S 45 of 460 +--d0308:= D(m0308,x) +--E 45 + +--S 46 of 460 +t0309:= csc(a+b*log(c*x^n))^(5/2)/x +--R +--R +--R +--------------------+ +--R n 2 | n +--R csc(b log(c x ) + a) \|csc(b log(c x ) + a) +--R (19) -------------------------------------------- +--R x +--R Type: Expression Integer +--E 46 + +--S 47 of 460 +r0309:= -2/3*cos(a+b*log(c*x^n))*csc(a+b*log(c*x^n))^(3/2)/b/n+_ + 2/3*csc(a+b*log(c*x^n))^(1/2)*EllipticF(1/2*a-1/4*%pi+_ + 1/2*b*log(c*x^n),2)*sin(a+b*log(c*x^n))^(1/2)/b/n +--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 PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 47 + +--S 48 of 460 +a0309:= integrate(t0309,x) +--R +--R +--R +---------------------+ +--R x n 2 | n +--R ++ csc(b log(c %R ) + a) \|csc(b log(c %R ) + a) +--R (20) | ---------------------------------------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 48 + +--S 49 of 460 +--m0309:= a0309-r0309 +--E 49 + +--S 50 of 460 +--d0309:= D(m0309,x) +--E 50 + +--S 51 of 460 +t0310:= 1/x/csc(a+b*log(c*x^n))^(1/2) +--R +--R +--R 1 +--R (21) ------------------------ +--R +--------------------+ +--R | n +--R x\|csc(b log(c x ) + a) +--R Type: Expression Integer +--E 51 + +--S 52 of 460 +r0310:= 2*csc(a+b*log(c*x^n))^(1/2)*EllipticE(1/2*a-1/4*%pi+_ + 1/2*b*log(c*x^n),2)*sin(a+b*log(c*x^n))^(1/2)/b/n +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 52 + +--S 53 of 460 +a0310:= integrate(t0310,x) +--R +--R +--R x +--R ++ 1 +--R (22) | -------------------------- d%R +--R ++ +---------------------+ +--R | n +--R %R\|csc(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 53 + +--S 54 of 460 +--m0310:= a0310-r0310 +--E 54 + +--S 55 of 460 +--d0310:= D(m0310,x) +--E 55 + +--S 56 of 460 +t0311:= 1/x/csc(a+b*log(c*x^n))^(3/2) +--R +--R +--R 1 +--R (23) --------------------------------------------- +--R +--------------------+ +--R n | n +--R x csc(b log(c x ) + a)\|csc(b log(c x ) + a) +--R Type: Expression Integer +--E 56 + +--S 57 of 460 +r0311:= -2/3*cos(a+b*log(c*x^n))/b/n/csc(a+b*log(c*x^n))^(1/2)+_ + 2/3*csc(a+b*log(c*x^n))^(1/2)*EllipticF(1/2*a-1/4*%pi+_ + 1/2*b*log(c*x^n),2)*sin(a+b*log(c*x^n))^(1/2)/b/n +--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 PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 57 + +--S 58 of 460 +a0311:= integrate(t0311,x) +--R +--R +--R x +--R ++ 1 +--R (24) | ------------------------------------------------ d%R +--R ++ +---------------------+ +--R n | n +--R %R csc(b log(c %R ) + a)\|csc(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 58 + +--S 59 of 460 +--m0311:= a0311-r0311 +--E 59 + +--S 60 of 460 +--d0311:= D(m0311,x) +--E 60 + +--S 61 of 460 +t0312:= 1/x/csc(a+b*log(c*x^n))^(5/2) +--R +--R +--R 1 +--R (25) ---------------------------------------------- +--R +--------------------+ +--R n 2 | n +--R x csc(b log(c x ) + a) \|csc(b log(c x ) + a) +--R Type: Expression Integer +--E 61 + +--S 62 of 460 +r0312:= -2/5*cos(a+b*log(c*x^n))/b/n/csc(a+b*log(c*x^n))^(3/2)+_ + 6/5*csc(a+b*log(c*x^n))^(1/2)*EllipticE(1/2*a-1/4*%pi+_ + 1/2*b*log(c*x^n),2)*sin(a+b*log(c*x^n))^(1/2)/b/n +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 62 + +--S 63 of 460 +a0312:= integrate(t0312,x) +--R +--R +--R x +--R ++ 1 +--R (26) | ------------------------------------------------- d%R +--R ++ +---------------------+ +--R n 2 | n +--R %R csc(b log(c %R ) + a) \|csc(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 63 + +--S 64 of 460 +--m0312:= a0312-r0312 +--E 64 + +--S 65 of 460 +--d0312:= D(m0312,x) +--E 65 + +--S 66 of 460 +t0313:= sin(log(a+b*x)) +--R +--R +--R (27) sin(log(b x + a)) +--R Type: Expression Integer +--E 66 + +--S 67 of 460 +r0313:= -1/2*(a+b*x)*(cos(log(a+b*x))-sin(log(a+b*x)))/b +--R +--R +--R (b x + a)sin(log(b x + a)) + (- b x - a)cos(log(b x + a)) +--R (28) --------------------------------------------------------- +--R 2b +--R Type: Expression Integer +--E 67 + +--S 68 of 460 +a0313:= integrate(t0313,x) +--R +--R +--R (b x + a)sin(log(b x + a)) + (- b x - a)cos(log(b x + a)) +--R (29) --------------------------------------------------------- +--R 2b +--R Type: Union(Expression Integer,...) +--E 68 + +--S 69 of 460 +m0313:= a0313-r0313 +--R +--R +--R (30) 0 +--R Type: Expression Integer +--E 69 + +--S 70 of 460 +d0313:= D(m0313,x) +--R +--R +--R (31) 0 +--R Type: Expression Integer +--E 70 + +--S 71 of 460 +t0314:= tanh(a+b*log(c*x^n))^2/x +--R +--R +--R n 2 +--R tanh(b log(c x ) + a) +--R (32) ---------------------- +--R x +--R Type: Expression Integer +--E 71 + +--S 72 of 460 +r0314:= 1/b/n*(b*log(c*x^n)-tanh(a+b*log(c*x^n))) +--R +--R +--R n n +--R - tanh(b log(c x ) + a) + b log(c x ) +--R (33) ------------------------------------- +--R b n +--R Type: Expression Integer +--E 72 + +--S 73 of 460 +a0314:= integrate(t0314,x) +--R +--R +--R (34) +--R - sinh(b n log(x) + b log(c) + a) +--R + +--R (b n log(x) + 1)cosh(b n log(x) + b log(c) + a) +--R / +--R b n cosh(b n log(x) + b log(c) + a) +--R Type: Union(Expression Integer,...) +--E 73 + +--S 74 of 460 +m0314:= a0314-r0314 +--R +--R +--R (35) +--R n +--R cosh(b n log(x) + b log(c) + a)tanh(b log(c x ) + a) +--R + +--R - sinh(b n log(x) + b log(c) + a) +--R + +--R n +--R - b cosh(b n log(x) + b log(c) + a)log(c x ) +--R + +--R (b n log(x) + 1)cosh(b n log(x) + b log(c) + a) +--R / +--R b n cosh(b n log(x) + b log(c) + a) +--R Type: Expression Integer +--E 74 + +--S 75 of 460 +d0314:= D(m0314,x) +--R +--R +--R (36) +--R n - 1 2 n 2 +--R - x x cosh(b n log(x) + b log(c) + a) tanh(b log(c x ) + a) +--R + +--R n 2 +--R x sinh(b n log(x) + b log(c) + a) +--R / +--R n 2 +--R x x cosh(b n log(x) + b log(c) + a) +--R Type: Expression Integer +--E 75 + +--S 76 of 460 +t0315:= coth(a+b*log(c*x^n))^2/x +--R +--R +--R n 2 +--R coth(b log(c x ) + a) +--R (37) ---------------------- +--R x +--R Type: Expression Integer +--E 76 + +--S 77 of 460 +r0315:= -1/b/n*(coth(a+b*log(c*x^n))-b*log(c*x^n)) +--R +--R +--R n n +--R - coth(b log(c x ) + a) + b log(c x ) +--R (38) ------------------------------------- +--R b n +--R Type: Expression Integer +--E 77 + +--S 78 of 460 +a0315:= integrate(t0315,x) +--R +--R +--R (39) +--R (b n log(x) + 1)sinh(b n log(x) + b log(c) + a) +--R + +--R - cosh(b n log(x) + b log(c) + a) +--R / +--R b n sinh(b n log(x) + b log(c) + a) +--R Type: Union(Expression Integer,...) +--E 78 + +--S 79 of 460 +m0315:= a0315-r0315 +--R +--R +--R (40) +--R n +--R sinh(b n log(x) + b log(c) + a)coth(b log(c x ) + a) +--R + +--R n +--R (- b log(c x ) + b n log(x) + 1)sinh(b n log(x) + b log(c) + a) +--R + +--R - cosh(b n log(x) + b log(c) + a) +--R / +--R b n sinh(b n log(x) + b log(c) + a) +--R Type: Expression Integer +--E 79 + +--S 80 of 460 +d0315:= D(m0315,x) +--R +--R +--R (41) +--R n - 1 2 n 2 +--R - x x sinh(b n log(x) + b log(c) + a) coth(b log(c x ) + a) +--R + +--R n 2 +--R x cosh(b n log(x) + b log(c) + a) +--R / +--R n 2 +--R x x sinh(b n log(x) + b log(c) + a) +--R Type: Expression Integer +--E 80 + +--S 81 of 460 +t0316:= sinh(a+b*log(c*x^n))^(1/2)/x +--R +--R +--R +---------------------+ +--R | n +--R \|sinh(b log(c x ) + a) +--R (42) ------------------------ +--R x +--R Type: Expression Integer +--E 81 + +--S 82 of 460 +r0316:= -2*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ + sinh(a+b*log(c*x^n))^(1/2)/b/n/(%i*sinh(a+b*log(c*x^n)))^(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 Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 82 + +--S 83 of 460 +a0316:= integrate(t0316,x) +--R +--R +--R +----------------------+ +--R x | n +--R ++ \|sinh(b log(c %R ) + a) +--R (43) | ------------------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 83 + +--S 84 of 460 +--m0316:= a0316-r0316 +--E 84 + +--S 85 of 460 +--d0316:= D(m0316,x) +--E 85 + +--S 86 of 460 +t0317:= sinh(a+b*log(c*x^n))^(3/2)/x +--R +--R +--R +---------------------+ +--R n | n +--R sinh(b log(c x ) + a)\|sinh(b log(c x ) + a) +--R (44) --------------------------------------------- +--R x +--R Type: Expression Integer +--E 86 + +--S 87 of 460 +r0317:= 2/3*%i*EllipticF(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ + (%i*sinh(a+b*log(c*x^n)))^(1/2)/b/n/sinh(a+b*log(c*x^n))^(1/2)+_ + 2/3*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))^(1/2)/b/n +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 87 + +--S 88 of 460 +a0317:= integrate(t0317,x) +--R +--R +--R +----------------------+ +--R x n | n +--R ++ sinh(b log(c %R ) + a)\|sinh(b log(c %R ) + a) +--R (45) | ----------------------------------------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 88 + +--S 89 of 460 +--m0317:= a0317-r0317 +--E 89 + +--S 90 of 460 +--d0317:= D(m0317,x) +--E 90 + +--S 91 of 460 +t0318:= sinh(a+b*log(c*x^n))^(5/2)/x +--R +--R +--R +---------------------+ +--R n 2 | n +--R sinh(b log(c x ) + a) \|sinh(b log(c x ) + a) +--R (46) ---------------------------------------------- +--R x +--R Type: Expression Integer +--E 91 + +--S 92 of 460 +r0318:= 6/5*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ + sinh(a+b*log(c*x^n))^(1/2)/b/n/(%i*sinh(a+b*log(c*x^n)))^(1/2)+_ + 2/5*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))^(3/2)/b/n +--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 Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 92 + +--S 93 of 460 +a0318:= integrate(t0318,x) +--R +--R +--R +----------------------+ +--R x n 2 | n +--R ++ sinh(b log(c %R ) + a) \|sinh(b log(c %R ) + a) +--R (47) | ------------------------------------------------ d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 93 + +--S 94 of 460 +--m0318:= a0318-r0318 +--E 94 + +--S 95 of 460 +--d0318:= D(m0318,x) +--E 95 + +--S 96 of 460 +t0319:= 1/x/sinh(a+b*log(c*x^n))^(1/2) +--R +--R +--R 1 +--R (48) ------------------------- +--R +---------------------+ +--R | n +--R x\|sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 96 + +--S 97 of 460 +r0319:= -2*%i*EllipticF(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ + (%i*sinh(a+b*log(c*x^n)))^(1/2)/b/n/sinh(a+b*log(c*x^n))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 97 + +--S 98 of 460 +a0319:= integrate(t0319,x) +--R +--R +--R x +--R ++ 1 +--R (49) | --------------------------- d%R +--R ++ +----------------------+ +--R | n +--R %R\|sinh(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 98 + +--S 99 of 460 +--m0319:= a0319-r0319 +--E 99 + +--S 100 of 460 +--d0319:= D(m0319,x) +--E 100 + +--S 101 of 460 +t0320:= 1/x/sinh(a+b*log(c*x^n))^(3/2) +--R +--R +--R 1 +--R (50) ----------------------------------------------- +--R +---------------------+ +--R n | n +--R x sinh(b log(c x ) + a)\|sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 101 + +--S 102 of 460 +r0320:= -2*cosh(a+b*log(c*x^n))/b/n/sinh(a+b*log(c*x^n))^(1/2)-_ + 2*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ + sinh(a+b*log(c*x^n))^(1/2)/b/n/(%i*sinh(a+b*log(c*x^n)))^(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 Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 102 + +--S 103 of 460 +a0320:= integrate(t0320,x) +--R +--R +--R x +--R ++ 1 +--R (51) | -------------------------------------------------- d%R +--R ++ +----------------------+ +--R n | n +--R %R sinh(b log(c %R ) + a)\|sinh(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 103 + +--S 104 of 460 +--m0320:= a0320-r0320 +--E 104 + +--S 105 of 460 +--d0320:= D(m0320,x) +--E 105 + +--S 106 of 460 +t0321:= 1/x/sinh(a+b*log(c*x^n))^(5/2) +--R +--R +--R 1 +--R (52) ------------------------------------------------ +--R +---------------------+ +--R n 2 | n +--R x sinh(b log(c x ) + a) \|sinh(b log(c x ) + a) +--R Type: Expression Integer +--E 106 + +--S 107 of 460 +r0321:= -2/3*cosh(a+b*log(c*x^n))/b/n/sinh(a+b*log(c*x^n))^(3/2)+_ + 2/3*%i*EllipticF(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ + (%i*sinh(a+b*log(c*x^n)))^(1/2)/b/n/sinh(a+b*log(c*x^n))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 107 + +--S 108 of 460 +a0321:= integrate(t0321,x) +--R +--R +--R x +--R ++ 1 +--R (53) | --------------------------------------------------- d%R +--R ++ +----------------------+ +--R n 2 | n +--R %R sinh(b log(c %R ) + a) \|sinh(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 108 + +--S 109 of 460 +--m0321:= a0321-r0321 +--E 109 + +--S 110 of 460 +--d0321:= D(m0321,x) +--E 110 + +--S 111 of 460 +t0322:= cosh(a+b*log(c*x^n))^(1/2)/x +--R +--R +--R +---------------------+ +--R | n +--R \|cosh(b log(c x ) + a) +--R (54) ------------------------ +--R x +--R Type: Expression Integer +--E 111 + +--S 112 of 460 +r0322:= -2*%i*EllipticE(1/2*%i*(a+b*log(c*x^n)),2)/b/n +--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 Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 112 + +--S 113 of 460 +a0322:= integrate(t0322,x) +--R +--R +--R +----------------------+ +--R x | n +--R ++ \|cosh(b log(c %R ) + a) +--R (55) | ------------------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 113 + +--S 114 of 460 +--m0322:= a0322-r0322 +--E 114 + +--S 115 of 460 +--d0322:= D(m0322,x) +--E 115 + +--S 116 of 460 +t0323:= cosh(a+b*log(c*x^n))^(3/2)/x +--R +--R +--R +---------------------+ +--R n | n +--R cosh(b log(c x ) + a)\|cosh(b log(c x ) + a) +--R (56) --------------------------------------------- +--R x +--R Type: Expression Integer +--E 116 + +--S 117 of 460 +r0323:= -2/3/b/n*(%i*EllipticF(1/2*%i*(a+b*log(c*x^n)),2)-cosh(a+b*log(c*x^n))^(1/2)*sinh(a+b*log(c*x^n))) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 117 + +--S 118 of 460 +a0323:= integrate(t0323,x) +--R +--R +--R +----------------------+ +--R x n | n +--R ++ cosh(b log(c %R ) + a)\|cosh(b log(c %R ) + a) +--R (57) | ----------------------------------------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 118 + +--S 119 of 460 +--m0323:= a0323-r0323 +--E 119 + +--S 120 of 460 +--d0323:= D(m0323,x) +--E 120 + +--S 121 of 460 +t0324:= cosh(a+b*log(c*x^n))^(5/2)/x +--R +--R +--R +---------------------+ +--R n 2 | n +--R cosh(b log(c x ) + a) \|cosh(b log(c x ) + a) +--R (58) ---------------------------------------------- +--R x +--R Type: Expression Integer +--E 121 + +--S 122 of 460 +r0324:= 2/5/b/n*(-3*%i*EllipticE(1/2*%i*(a+b*log(c*x^n)),2)+_ + cosh(a+b*log(c*x^n))^(3/2)*sinh(a+b*log(c*x^n))) +--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 Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 122 + +--S 123 of 460 +a0324:= integrate(t0324,x) +--R +--R +--R +----------------------+ +--R x n 2 | n +--R ++ cosh(b log(c %R ) + a) \|cosh(b log(c %R ) + a) +--R (59) | ------------------------------------------------ d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 123 + +--S 124 of 460 +--m0324:= a0324-r0324 +--E 124 + +--S 125 of 460 +--d0324:= D(m0324,x) +--E 125 + +--S 126 of 460 +t0325:= 1/x/cosh(a+b*log(c*x^n))^(1/2) +--R +--R +--R 1 +--R (60) ------------------------- +--R +---------------------+ +--R | n +--R x\|cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 126 + +--S 127 of 460 +r0325:= -2*%i*EllipticF(1/2*%i*(a+b*log(c*x^n)),2)/b/n +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 127 + +--S 128 of 460 +a0325:= integrate(t0325,x) +--R +--R +--R x +--R ++ 1 +--R (61) | --------------------------- d%R +--R ++ +----------------------+ +--R | n +--R %R\|cosh(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 128 + +--S 129 of 460 +--m0325:= a0325-r0325 +--E 129 + +--S 130 of 460 +--d0325:= D(m0325,x) +--E 130 + +--S 131 of 460 +t0326:= 1/x/cosh(a+b*log(c*x^n))^(3/2) +--R +--R +--R 1 +--R (62) ----------------------------------------------- +--R +---------------------+ +--R n | n +--R x cosh(b log(c x ) + a)\|cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 131 + +--S 132 of 460 +r0326:= 2*%i*EllipticE(1/2*%i*(a+b*log(c*x^n)),2)/b/n+_ + 2*sinh(a+b*log(c*x^n))/b/n/cosh(a+b*log(c*x^n))^(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 Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 132 + +--S 133 of 460 +a0326:= integrate(t0326,x) +--R +--R +--R x +--R ++ 1 +--R (63) | -------------------------------------------------- d%R +--R ++ +----------------------+ +--R n | n +--R %R cosh(b log(c %R ) + a)\|cosh(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 133 + +--S 134 of 460 +--m0326:= a0326-r0326 +--E 134 + +--S 135 of 460 +--d0326:= D(m0326,x) +--E 135 + +--S 136 of 460 +t0327:= 1/x/cosh(a+b*log(c*x^n))^(5/2) +--R +--R +--R 1 +--R (64) ------------------------------------------------ +--R +---------------------+ +--R n 2 | n +--R x cosh(b log(c x ) + a) \|cosh(b log(c x ) + a) +--R Type: Expression Integer +--E 136 + +--S 137 of 460 +r0327:= -2/3*%i*EllipticF(1/2*%i*(a+b*log(c*x^n)),2)/b/n+_ + 2/3*sinh(a+b*log(c*x^n))/b/n/cosh(a+b*log(c*x^n))^(3/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 137 + +--S 138 of 460 +a0327:= integrate(t0327,x) +--R +--R +--R x +--R ++ 1 +--R (65) | --------------------------------------------------- d%R +--R ++ +----------------------+ +--R n 2 | n +--R %R cosh(b log(c %R ) + a) \|cosh(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 138 + +--S 139 of 460 +--m0327:= a0327-r0327 +--E 139 + +--S 140 of 460 +--d0327:= D(m0327,x) +--E 140 + +--S 141 of 460 +t0328:= sech(a+b*log(c*x^n))^(1/2)/x +--R +--R +--R +---------------------+ +--R | n +--R \|sech(b log(c x ) + a) +--R (66) ------------------------ +--R x +--R Type: Expression Integer +--E 141 + +--S 142 of 460 +r0328:= -2*%i*cosh(a+b*log(c*x^n))^(1/2)*_ + EllipticF(1/2*%i*(a+b*log(c*x^n)),2)*sech(a+b*log(c*x^n))^(1/2)/b/n +--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 Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 142 + +--S 143 of 460 +a0328:= integrate(t0328,x) +--R +--R +--R +----------------------+ +--R x | n +--R ++ \|sech(b log(c %R ) + a) +--R (67) | ------------------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 143 + +--S 144 of 460 +--m0328:= a0328-r0328 +--E 144 + +--S 145 of 460 +--d0328:= D(m0328,x) +--E 145 + +--S 146 of 460 +t0329:= sech(a+b*log(c*x^n))^(3/2)/x +--R +--R +--R +---------------------+ +--R n | n +--R sech(b log(c x ) + a)\|sech(b log(c x ) + a) +--R (68) --------------------------------------------- +--R x +--R Type: Expression Integer +--E 146 + +--S 147 of 460 +r0329:= 2*%i*cosh(a+b*log(c*x^n))^(1/2)*_ + EllipticE(1/2*%i*(a+b*log(c*x^n)),2)*sech(a+b*log(c*x^n))^(1/2)/b/n+_ + 2*sech(a+b*log(c*x^n))^(1/2)*sinh(a+b*log(c*x^n))/b/n +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 147 + +--S 148 of 460 +a0329:= integrate(t0329,x) +--R +--R +--R +----------------------+ +--R x n | n +--R ++ sech(b log(c %R ) + a)\|sech(b log(c %R ) + a) +--R (69) | ----------------------------------------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 148 + +--S 149 of 460 +--m0329:= a0329-r0329 +--E 149 + +--S 150 of 460 +--d0329:= D(m0329,x) +--E 150 + +--S 151 of 460 +t0330:= sech(a+b*log(c*x^n))^(5/2)/x +--R +--R +--R +---------------------+ +--R n 2 | n +--R sech(b log(c x ) + a) \|sech(b log(c x ) + a) +--R (70) ---------------------------------------------- +--R x +--R Type: Expression Integer +--E 151 + +--S 152 of 460 +r0330:= -2/3*%i*cosh(a+b*log(c*x^n))^(1/2)*_ + EllipticF(1/2*%i*(a+b*log(c*x^n)),2)*sech(a+b*log(c*x^n))^(1/2)/b/n+_ + 2/3*sech(a+b*log(c*x^n))^(3/2)*sinh(a+b*log(c*x^n))/b/n +--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 Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 152 + +--S 153 of 460 +a0330:= integrate(t0330,x) +--R +--R +--R +----------------------+ +--R x n 2 | n +--R ++ sech(b log(c %R ) + a) \|sech(b log(c %R ) + a) +--R (71) | ------------------------------------------------ d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 153 + +--S 154 of 460 +--m0330:= a0330-r0330 +--E 154 + +--S 155 of 460 +--d0330:= D(m0330,x) +--E 155 + +--S 156 of 460 +t0331:= 1/x/sech(a+b*log(c*x^n))^(1/2) +--R +--R +--R 1 +--R (72) ------------------------- +--R +---------------------+ +--R | n +--R x\|sech(b log(c x ) + a) +--R Type: Expression Integer +--E 156 + +--S 157 of 460 +r0331:= -2*%i*cosh(a+b*log(c*x^n))^(1/2)*_ + EllipticE(1/2*%i*(a+b*log(c*x^n)),2)*sech(a+b*log(c*x^n))^(1/2)/b/n +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 157 + +--S 158 of 460 +a0331:= integrate(t0331,x) +--R +--R +--R x +--R ++ 1 +--R (73) | --------------------------- d%R +--R ++ +----------------------+ +--R | n +--R %R\|sech(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 158 + +--S 159 of 460 +--m0331:= a0331-r0331 +--E 159 + +--S 160 of 460 +--d0331:= D(m0331,x) +--E 160 + +--S 161 of 460 +t0332:= 1/x/sech(a+b*log(c*x^n))^(3/2) +--R +--R +--R 1 +--R (74) ----------------------------------------------- +--R +---------------------+ +--R n | n +--R x sech(b log(c x ) + a)\|sech(b log(c x ) + a) +--R Type: Expression Integer +--E 161 + +--S 162 of 460 +r0332:= -2/3*%i*cosh(a+b*log(c*x^n))^(1/2)*_ + EllipticF(1/2*%i*(a+b*log(c*x^n)),2)*sech(a+b*log(c*x^n))^(1/2)/b/n+_ + 2/3*sinh(a+b*log(c*x^n))/b/n/sech(a+b*log(c*x^n))^(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 Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 162 + +--S 163 of 460 +a0332:= integrate(t0332,x) +--R +--R +--R x +--R ++ 1 +--R (75) | -------------------------------------------------- d%R +--R ++ +----------------------+ +--R n | n +--R %R sech(b log(c %R ) + a)\|sech(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 163 + +--S 164 of 460 +--m0332:= a0332-r0332 +--E 164 + +--S 165 of 460 +--d0332:= D(m0332,x) +--E 165 + +--S 166 of 460 +t0333:= 1/x/sech(a+b*log(c*x^n))^(5/2) +--R +--R +--R 1 +--R (76) ------------------------------------------------ +--R +---------------------+ +--R n 2 | n +--R x sech(b log(c x ) + a) \|sech(b log(c x ) + a) +--R Type: Expression Integer +--E 166 + +--S 167 of 460 +r0333:= -6/5*%i*cosh(a+b*log(c*x^n))^(1/2)*_ + EllipticE(1/2*%i*(a+b*log(c*x^n)),2)*sech(a+b*log(c*x^n))^(1/2)/b/n+_ + 2/5*sinh(a+b*log(c*x^n))/b/n/sech(a+b*log(c*x^n))^(3/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 167 + +--S 168 of 460 +a0333:= integrate(t0333,x) +--R +--R +--R x +--R ++ 1 +--R (77) | --------------------------------------------------- d%R +--R ++ +----------------------+ +--R n 2 | n +--R %R sech(b log(c %R ) + a) \|sech(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 168 + +--S 169 of 460 +--m0333:= a0333-r0333 +--E 169 + +--S 170 of 460 +--d0333:= D(m0333,x) +--E 170 + +--S 171 of 460 +t0334:= csch(a+b*log(c*x^n))^(1/2)/x +--R +--R +--R +---------------------+ +--R | n +--R \|csch(b log(c x ) + a) +--R (78) ------------------------ +--R x +--R Type: Expression Integer +--E 171 + +--S 172 of 460 +r0334:= -2*%i*csch(a+b*log(c*x^n))^(1/2)*_ + EllipticF(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ + (%i*sinh(a+b*log(c*x^n)))^(1/2)/b/n +--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 Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 172 + +--S 173 of 460 +a0334:= integrate(t0334,x) +--R +--R +--R +----------------------+ +--R x | n +--R ++ \|csch(b log(c %R ) + a) +--R (79) | ------------------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 173 + +--S 174 of 460 +--m0334:= a0334-r0334 +--E 174 + +--S 175 of 460 +--d0334:= D(m0334,x) +--E 175 + +--S 176 of 460 +t0335:= csch(a+b*log(c*x^n))^(3/2)/x +--R +--R +--R +---------------------+ +--R n | n +--R csch(b log(c x ) + a)\|csch(b log(c x ) + a) +--R (80) --------------------------------------------- +--R x +--R Type: Expression Integer +--E 176 + +--S 177 of 460 +r0335:= -2*cosh(a+b*log(c*x^n))*csch(a+b*log(c*x^n))^(1/2)/b/n-_ + 2*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)/b/n/_ + csch(a+b*log(c*x^n))^(1/2)/(%i*sinh(a+b*log(c*x^n)))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 177 + +--S 178 of 460 +a0335:= integrate(t0335,x) +--R +--R +--R +----------------------+ +--R x n | n +--R ++ csch(b log(c %R ) + a)\|csch(b log(c %R ) + a) +--R (81) | ----------------------------------------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 178 + +--S 179 of 460 +--m0335:= a0335-r0335 +--E 179 + +--S 180 of 460 +--d0335:= D(m0335,x) +--E 180 + +--S 181 of 460 +t0336:= csch(a+b*log(c*x^n))^(5/2)/x +--R +--R +--R +---------------------+ +--R n 2 | n +--R csch(b log(c x ) + a) \|csch(b log(c x ) + a) +--R (82) ---------------------------------------------- +--R x +--R Type: Expression Integer +--E 181 + +--S 182 of 460 +r0336:= -2/3*cosh(a+b*log(c*x^n))*csch(a+b*log(c*x^n))^(3/2)/b/n+_ + 2/3*%i*csch(a+b*log(c*x^n))^(1/2)*EllipticF(-1/4*%pi+_ + 1/2*%i*(a+b*log(c*x^n)),2)*(%i*sinh(a+b*log(c*x^n)))^(1/2)/b/n +--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 Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 182 + +--S 183 of 460 +a0336:= integrate(t0336,x) +--R +--R +--R +----------------------+ +--R x n 2 | n +--R ++ csch(b log(c %R ) + a) \|csch(b log(c %R ) + a) +--R (83) | ------------------------------------------------ d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 183 + +--S 184 of 460 +--m0336:= a0336-r0336 +--E 184 + +--S 185 of 460 +--d0336:= D(m0336,x) +--E 185 + +--S 186 of 460 +t0337:= 1/x/csch(a+b*log(c*x^n))^(1/2) +--R +--R +--R 1 +--R (84) ------------------------- +--R +---------------------+ +--R | n +--R x\|csch(b log(c x ) + a) +--R Type: Expression Integer +--E 186 + +--S 187 of 460 +r0337:= -2*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)/b/n/_ + csch(a+b*log(c*x^n))^(1/2)/(%i*sinh(a+b*log(c*x^n)))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 187 + +--S 188 of 460 +a0337:= integrate(t0337,x) +--R +--R +--R x +--R ++ 1 +--R (85) | --------------------------- d%R +--R ++ +----------------------+ +--R | n +--R %R\|csch(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 188 + +--S 189 of 460 +--m0337:= a0337-r0337 +--E 189 + +--S 190 of 460 +--d0337:= D(m0337,x) +--E 190 + +--S 191 of 460 +t0338:= 1/x/csch(a+b*log(c*x^n))^(3/2) +--R +--R +--R 1 +--R (86) ----------------------------------------------- +--R +---------------------+ +--R n | n +--R x csch(b log(c x ) + a)\|csch(b log(c x ) + a) +--R Type: Expression Integer +--E 191 + +--S 192 of 460 +r0338:= 2/3*cosh(a+b*log(c*x^n))/b/n/csch(a+b*log(c*x^n))^(1/2)+_ + 2/3*%i*csch(a+b*log(c*x^n))^(1/2)*EllipticF(-1/4*%pi+_ + 1/2*%i*(a+b*log(c*x^n)),2)*(%i*sinh(a+b*log(c*x^n)))^(1/2)/b/n +--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 Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 192 + +--S 193 of 460 +a0338:= integrate(t0338,x) +--R +--R +--R x +--R ++ 1 +--R (87) | -------------------------------------------------- d%R +--R ++ +----------------------+ +--R n | n +--R %R csch(b log(c %R ) + a)\|csch(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 193 + +--S 194 of 460 +--m0338:= a0338-r0338 +--E 194 + +--S 195 of 460 +--d0338:= D(m0338,x) +--E 195 + +--S 196 of 460 +t0339:= 1/x/csch(a+b*log(c*x^n))^(5/2) +--R +--R +--R 1 +--R (88) ------------------------------------------------ +--R +---------------------+ +--R n 2 | n +--R x csch(b log(c x ) + a) \|csch(b log(c x ) + a) +--R Type: Expression Integer +--E 196 + +--S 197 of 460 +r0339:= 2/5*cosh(a+b*log(c*x^n))/b/n/csch(a+b*log(c*x^n))^(3/2)+_ + 6/5*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)/b/n/_ + csch(a+b*log(c*x^n))^(1/2)/(%i*sinh(a+b*log(c*x^n)))^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Complex Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 197 + +--S 198 of 460 +a0339:= integrate(t0339,x) +--R +--R +--R x +--R ++ 1 +--R (89) | --------------------------------------------------- d%R +--R ++ +----------------------+ +--R n 2 | n +--R %R csch(b log(c %R ) + a) \|csch(b log(c %R ) + a) +--R Type: Union(Expression Integer,...) +--E 198 + +--S 199 of 460 +--m0339:= a0339-r0339 +--E 199 + +--S 200 of 460 +--d0339:= D(m0339,x) +--E 200 + +--S 201 of 460 +t0340:= 1/2*log(a+b*x) +--R +--R +--R log(b x + a) +--R (90) ------------ +--R 2 +--R Type: Expression Integer +--E 201 + +--S 202 of 460 +r0340:= -1/2*x+1/2*(a+b*x)*log(a+b*x)/b +--R +--R +--R (b x + a)log(b x + a) - b x +--R (91) --------------------------- +--R 2b +--R Type: Expression Integer +--E 202 + +--S 203 of 460 +a0340:= integrate(t0340,x) +--R +--R +--R (b x + a)log(b x + a) - b x +--R (92) --------------------------- +--R 2b +--R Type: Union(Expression Integer,...) +--E 203 + +--S 204 of 460 +m0340:= a0340-r0340 +--R +--R +--R (93) 0 +--R Type: Expression Integer +--E 204 + +--S 205 of 460 +d0340:= D(m0340,x) +--R +--R +--R (94) 0 +--R Type: Expression Integer +--E 205 + +--S 206 of 460 +t0341:= log(x^(1/2)+(1+x)^(1/2)) +--R +--R +--R +-----+ +-+ +--R (95) log(\|x + 1 + \|x ) +--R Type: Expression Integer +--E 206 + +--S 207 of 460 +r0341:= -1/2*(x/(1+x))^(1/2)*(1+x)+1/2*atanh((x/(1+x))^(1/2))+_ + x*log(x^(1/2)+(1+x)^(1/2)) +--R +--R +--R +-----+ +-----+ +--R +-----+ +-+ | x | x +--R 2x log(\|x + 1 + \|x ) + atanh( |----- ) + (- x - 1) |----- +--R \|x + 1 \|x + 1 +--R (96) ------------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 207 + +--S 208 of 460 +a0341:= integrate(t0341,x) +--R +--R +--R >> Error detected within library code: +--R failed - cannot handle that integrand +--R +--R Continuing to read the file... +--R +--E 208 + +--S 209 of 460 +--m0341:= a0341-r0341 +--E 209 + +--S 210 of 460 +--d0341:= D(m0341,x) +--E 210 + +--S 211 of 460 +t0342:= log(abs(a^2-x^2)) +--R +--R +--R 2 2 +--R (97) log(abs(x - a )) +--R Type: Expression Integer +--E 211 + +--S 212 of 460 +r0342:= -2*x+2*a*atanh(x/a)+1/2*x*log((a^2-x^2)^2) +--R +--R +--R 4 2 2 4 x +--R x log(x - 2a x + a ) + 4a atanh(-) - 4x +--R a +--R (98) ----------------------------------------- +--R 2 +--R Type: Expression Integer +--E 212 + +--S 213 of 460 +a0342:= integrate(t0342,x) +--R +--R +--R 2 2 +--R (99) x log(abs(x - a )) + a log(x + a) - a log(x - a) - 2x +--R Type: Union(Expression Integer,...) +--E 213 + +--S 214 of 460 +m0342:= a0342-r0342 +--R +--R +--R (100) +--R 2 2 4 2 2 4 +--R 2x log(abs(x - a )) - x log(x - 2a x + a ) + 2a log(x + a) +--R + +--R x +--R - 2a log(x - a) - 4a atanh(-) +--R a +--R / +--R 2 +--R Type: Expression Integer +--E 214 + +--S 215 of 460 +d0342:= D(m0342,x) +--R +--R +--R 2 2 4 2 2 4 +--R 2log(abs(x - a )) - log(x - 2a x + a ) +--R (101) ----------------------------------------- +--R 2 +--R Type: Expression Integer +--E 215 + +--S 216 of 460 +t0343:= log((-11+5*x)/(5+76*x)) +--R +--R +--R 5x - 11 +--R (102) log(-------) +--R 76x + 5 +--R Type: Expression Integer +--E 216 + +--S 217 of 460 +r0343:= -11/5*log(11-5*x)+x*log((-11+5*x)/(5+76*x))-5/76*log(5+76*x) +--R +--R +--R 5x - 11 +--R - 25log(76x + 5) + 380x log(-------) - 836log(- 5x + 11) +--R 76x + 5 +--R (103) -------------------------------------------------------- +--R 380 +--R Type: Expression Integer +--E 217 + +--S 218 of 460 +a0343:= integrate(t0343,x) +--R +--R +--R 5x - 11 +--R - 25log(76x + 5) - 836log(5x - 11) + 380x log(-------) +--R 76x + 5 +--R (104) ------------------------------------------------------ +--R 380 +--R Type: Union(Expression Integer,...) +--E 218 + +--S 219 of 460 +m0343:= a0343-r0343 +--R +--R +--R - 11log(5x - 11) + 11log(- 5x + 11) +--R (105) ----------------------------------- +--R 5 +--R Type: Expression Integer +--E 219 + +--S 220 of 460 +d0343:= D(m0343,x) +--R +--R +--R (106) 0 +--R Type: Expression Integer +--E 220 + +--S 221 of 460 +t0344:= log((1+x)/(-1+x))/x^2 +--R +--R +--R x + 1 +--R log(-----) +--R x - 1 +--R (107) ---------- +--R 2 +--R x +--R Type: Expression Integer +--E 221 + +--S 222 of 460 +r0344:= 2*log(x)-log(-(1+x)/(1-x))/x-log(1-x^2) +--R +--R +--R x + 1 2 +--R 2x log(x) - log(-----) - x log(- x + 1) +--R x - 1 +--R (108) ---------------------------------------- +--R x +--R Type: Expression Integer +--E 222 + +--S 223 of 460 +a0344:= integrate(t0344,x) +--R +--R +--R 2 x + 1 +--R - x log(x - 1) + 2x log(x) - log(-----) +--R x - 1 +--R (109) ---------------------------------------- +--R x +--R Type: Union(Expression Integer,...) +--E 223 + +--S 224 of 460 +m0344:= a0344-r0344 +--R +--R +--R 2 2 +--R (110) - log(x - 1) + log(- x + 1) +--R Type: Expression Integer +--E 224 + +--S 225 of 460 +d0344:= D(m0344,x) +--R +--R +--R (111) 0 +--R Type: Expression Integer +--E 225 + +--S 226 of 460 +t0345:= x*log((1+x)/x^2) +--R +--R +--R x + 1 +--R (112) x log(-----) +--R 2 +--R x +--R Type: Expression Integer +--E 226 + +--S 227 of 460 +r0345:= 1/2*x+1/4*x^2-1/2*log(1+x)+1/2*x^2*log((1+x)/x^2) +--R +--R +--R 2 x + 1 2 +--R - 2log(x + 1) + 2x log(-----) + x + 2x +--R 2 +--R x +--R (113) --------------------------------------- +--R 4 +--R Type: Expression Integer +--E 227 + +--S 228 of 460 +a0345:= integrate(t0345,x) +--R +--R +--R 2 x + 1 2 +--R - 2log(x + 1) + 2x log(-----) + x + 2x +--R 2 +--R x +--R (114) --------------------------------------- +--R 4 +--R Type: Union(Expression Integer,...) +--E 228 + +--S 229 of 460 +m0345:= a0345-r0345 +--R +--R +--R (115) 0 +--R Type: Expression Integer +--E 229 + +--S 230 of 460 +d0345:= D(m0345,x) +--R +--R +--R (116) 0 +--R Type: Expression Integer +--E 230 + +--S 231 of 460 +t0346:= (a+b*x)^n*log(a+b*x) +--R +--R +--R n +--R (117) log(b x + a)(b x + a) +--R Type: Expression Integer +--E 231 + +--S 232 of 460 +r0346:= 1/b/(1+n)^2*(a+b*x)^(1+n)*(-1+log(a+b*x)+n*log(a+b*x)) +--R +--R +--R n + 1 +--R ((n + 1)log(b x + a) - 1)(b x + a) +--R (118) --------------------------------------- +--R 2 +--R b n + 2b n + b +--R Type: Expression Integer +--E 232 + +--S 233 of 460 +a0346:= integrate(t0346,x) +--R +--R +--R n log(b x + a) +--R (((b n + b)x + a n + a)log(b x + a) - b x - a)%e +--R (119) -------------------------------------------------------------- +--R 2 +--R b n + 2b n + b +--R Type: Union(Expression Integer,...) +--E 233 + +--S 234 of 460 +m0346:= a0346-r0346 +--R +--R +--R (120) +--R n log(b x + a) +--R (((b n + b)x + a n + a)log(b x + a) - b x - a)%e +--R + +--R n + 1 +--R ((- n - 1)log(b x + a) + 1)(b x + a) +--R / +--R 2 +--R b n + 2b n + b +--R Type: Expression Integer +--E 234 + +--S 235 of 460 +d0346:= D(m0346,x) +--R +--R +--R (121) +--R n log(b x + a) n + 1 +--R ((b n + b)x + a n + a)log(b x + a)%e - (b x + a) +--R + +--R n +--R (((- b n - b)x - a n - a)log(b x + a) + b x + a)(b x + a) +--R / +--R (b n + b)x + a n + a +--R Type: Expression Integer +--E 235 + +--S 236 of 460 +t0347:= log((a+b*x)/(c+d*x))/x +--R +--R +--R b x + a +--R log(-------) +--R d x + c +--R (122) ------------ +--R x +--R Type: Expression Integer +--E 236 + +--S 237 of 460 +r0347:= -log((b*c-a*d)/b/(c+d*x))*log((a+b*x)/(c+d*x))+_ + log(-(b*c-a*d)*x/a/(c+d*x))*log((a+b*x)/(c+d*x))-_ + polylog(2,d*(x+a/b)/(c+d*x))+polylog(2,c*(1+b*x/a)/(c+d*x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 237 + +--S 238 of 460 +a0347:= integrate(t0347,x) +--R +--R +--R %R b + a +--R x log(--------) +--R ++ %R d + c +--R (123) | ------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 238 + +--S 239 of 460 +--m0347:= a0347-r0347 +--E 239 + +--S 240 of 460 +--d0347:= D(m0347,x) +--E 240 + +--S 241 of 460 +t0348:= log((a+b*x)/(c+d*x))^2/x +--R +--R +--R b x + a 2 +--R log(-------) +--R d x + c +--R (124) ------------- +--R x +--R Type: Expression Integer +--E 241 + +--S 242 of 460 +r0348:= -log((b*c-a*d)/b/(c+d*x))*log((a+b*x)/(c+d*x))^2+_ + log(-(b*c-a*d)*x/a/(c+d*x))*log((a+b*x)/(c+d*x))^2-_ + 2*log((a+b*x)/(c+d*x))*polylog(2,d*(x+a/b)/(c+d*x))+_ + 2*log((a+b*x)/(c+d*x))*polylog(2,c*(1+b*x/a)/(c+d*x))-_ + 2*polylog(3,c*(a+b*x)/a/(c+d*x))+2*polylog(3,d*(a+b*x)/b/(c+d*x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 242 + +--S 243 of 460 +a0348:= integrate(t0348,x) +--R +--R +--R %R b + a 2 +--R x log(--------) +--R ++ %R d + c +--R (125) | -------------- d%R +--R ++ %R +--R Type: Union(Expression Integer,...) +--E 243 + +--S 244 of 460 +--m0348:= a0348-r0348 +--E 244 + +--S 245 of 460 +--d0348:= D(m0348,x) +--E 245 + +--S 246 of 460 +t0349:= log(a*log(b*x^n)^p) +--R +--R +--R n p +--R (126) log(a log(b x ) ) +--R Type: Expression Integer +--E 246 + +--S 247 of 460 +r0349:= -p*x*Ei(1/n*log(b*x^n))/((b*x^n)^(1/n))+x*log(a*log(b*x^n)^p) +--R +--R +--R 1 +--R - n +--R n n n p log(b x ) +--R x (b x ) log(a log(b x ) ) - p x Ei(---------) +--R n +--R (127) ---------------------------------------------- +--R 1 +--R - +--R n n +--R (b x ) +--R Type: Expression Integer +--E 247 + +--S 248 of 460 +a0349:= integrate(t0349,x) +--R +--R +--R x +--R ++ n p +--R (128) | log(a log(b %R ) )d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 248 + +--S 249 of 460 +--m0349:= a0349-r0349 +--E 249 + +--S 250 of 460 +--d0349:= D(m0349,x) +--E 250 + +--S 251 of 460 +t0350:= x^m*log(a*log(b*x)^p) +--R +--R +--R m p +--R (129) x log(a log(b x) ) +--R Type: Expression Integer +--E 251 + +--S 252 of 460 +r0350:= -1/b/(1+m)*(p*x^m*(b*x)^(-m)*Ei((1+m)*log(b*x))-_ + x^(1+m)*log(a*log(b*x)^p)*b) +--R +--R +--R m + 1 p m - m +--R b x log(a log(b x) ) - p x (b x) Ei((m + 1)log(b x)) +--R (130) ---------------------------------------------------------- +--R b m + b +--R Type: Expression Integer +--E 252 + +--S 253 of 460 +a0350:= integrate(t0350,x) +--R +--R +--R x +--R ++ m p +--R (131) | %R log(a log(%R b) )d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 253 + +--S 254 of 460 +--m0350:= a0350-r0350 +--E 254 + +--S 255 of 460 +--d0350:= D(m0350,x) +--E 255 + +--S 256 of 460 +t0351:= x^m*log(a*log(b*x^n)^p) +--R +--R +--R m n p +--R (132) x log(a log(b x ) ) +--R Type: Expression Integer +--E 256 + +--S 257 of 460 +r0351:= 1/(1+m)*x^(1+m)*(-p*Ei((1+m)/n*log(b*x^n))*(b*x^n)^(-(1+m)/n)+_ + log(a*log(b*x^n)^p)) +--R +--R +--R - m - 1 +--R ------- n +--R m + 1 n p m + 1 n n (m + 1)log(b x ) +--R x log(a log(b x ) ) - p x (b x ) Ei(----------------) +--R n +--R (133) ------------------------------------------------------------------- +--R m + 1 +--R Type: Expression Integer +--E 257 + +--S 258 of 460 +a0351:= integrate(t0351,x) +--R +--R +--R x +--R ++ m n p +--R (134) | %R log(a log(b %R ) )d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 258 + +--S 259 of 460 +--m0351:= a0351-r0351 +--E 259 + +--S 260 of 460 +--d0351:= D(m0351,x) +--E 260 + +--S 261 of 460 +t0352:= log(x)/(a+b*log(x))^(1/2) +--R +--R +--R log(x) +--R (135) --------------- +--R +------------+ +--R \|b log(x) + a +--R Type: Expression Integer +--E 261 + +--S 262 of 460 +r0352:= -1/2*(2*a+b)*%pi^(1/2)*erfi((a+b*log(x))^(1/2)/b^(1/2))/_ + (exp(1)^(a/b))/b^(3/2)+x*(a+b*log(x))^(1/2)/b +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression 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 262 + +--S 263 of 460 +a0352:= integrate(t0352,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 263 + +--S 264 of 460 +--m0352:= a0352-r0352 +--E 264 + +--S 265 of 460 +--d0352:= D(m0352,x) +--E 265 + +--S 266 of 460 +t0353:= log(x)/(a-b*log(x))^(1/2) +--R +--R +--R log(x) +--R (136) ----------------- +--R +--------------+ +--R \|- b log(x) + a +--R Type: Expression Integer +--E 266 + +--S 267 of 460 +r0353:= -1/2*(2*a-b)*exp(1)^(a/b)*%pi^(1/2)*erf((a-b*log(x))^(1/2)/_ + b^(1/2))/b^(3/2)-x*(a-b*log(x))^(1/2)/b +--R +--R +--R a +--R - +--------------+ +--R b +---+ \|- b log(x) + a +-+ +--------------+ +--R (b - 2a)%e \|%pi erf(-----------------) - 2x\|b \|- b log(x) + a +--R +-+ +--R \|b +--R (137) ----------------------------------------------------------------- +--R +-+ +--R 2b\|b +--R Type: Expression Integer +--E 267 + +--S 268 of 460 +a0353:= integrate(t0353,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 268 + +--S 269 of 460 +--m0353:= a0353-r0353 +--E 269 + +--S 270 of 460 +--d0353:= D(m0353,x) +--E 270 + +--S 271 of 460 +t0354:= (A+B*log(x))/(a+b*log(x))^(1/2) +--R +--R +--R B log(x) + A +--R (138) --------------- +--R +------------+ +--R \|b log(x) + a +--R Type: Expression Integer +--E 271 + +--S 272 of 460 +r0354:= 1/2*(2*A*b-(2*a+b)*B)*%pi^(1/2)*erfi((a+b*log(x))^(1/2)/b^(1/2))/_ + (exp(1)^(a/b))/b^(3/2)+B*x*(a+b*log(x))^(1/2)/b +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression 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 272 + +--S 273 of 460 +a0354:= integrate(t0354,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 273 + +--S 274 of 460 +--m0354:= a0354-r0354 +--E 274 + +--S 275 of 460 +--d0354:= D(m0354,x) +--E 275 + +--S 276 of 460 +t0355:= (A+B*log(x))/(a-b*log(x))^(1/2) +--R +--R +--R B log(x) + A +--R (139) ----------------- +--R +--------------+ +--R \|- b log(x) + a +--R Type: Expression Integer +--E 276 + +--S 277 of 460 +r0355:= -1/2*(2*A*b+(2*a-b)*B)*exp(1)^(a/b)*%pi^(1/2)*_ + erf((a-b*log(x))^(1/2)/b^(1/2))/b^(3/2)-B*x*(a-b*log(x))^(1/2)/b +--R +--R +--R (140) +--R a +--R - +--------------+ +--R b +---+ \|- b log(x) + a +-+ +--------------+ +--R ((B - 2A)b - 2B a)%e \|%pi erf(-----------------) - 2B x\|b \|- b log(x) + a +--R +-+ +--R \|b +--R ----------------------------------------------------------------------------- +--R +-+ +--R 2b\|b +--R Type: Expression Integer +--E 277 + +--S 278 of 460 +a0355:= integrate(t0355,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 278 + +--S 279 of 460 +--m0355:= a0355-r0355 +--E 279 + +--S 280 of 460 +--d0355:= D(m0355,x) +--E 280 + +--S 281 of 460 +t0356:= log(x)*sin(a+b*x) +--R +--R +--R (141) log(x)sin(b x + a) +--R Type: Expression Integer +--E 281 + +--S 282 of 460 +r0356:= (cos(a)*Ci(b*x)-log(x)*cos(a+b*x)-sin(a)*Si(b*x))/b +--R +--R +--R - Si(b x)sin(a) - cos(b x + a)log(x) + Ci(b x)cos(a) +--R (142) ---------------------------------------------------- +--R b +--R Type: Expression Integer +--E 282 + +--S 283 of 460 +a0356:= integrate(t0356,x) +--R +--R +--R x +--R ++ +--R (143) | log(%R)sin(%R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 283 + +--S 284 of 460 +--m0356:= a0356-r0356 +--E 284 + +--S 285 of 460 +--d0356:= D(m0356,x) +--E 285 + +--S 286 of 460 +t0357:= log(x)*sin(a+b*x)^2 +--R +--R +--R 2 +--R (144) log(x)sin(b x + a) +--R Type: Expression Integer +--E 286 + +--S 287 of 460 +r0357:= -1/4*(2*b*x-Ci(2*b*x)*sin(2*a)-2*log(x)*b*x+2*log(x)*cos(a+b*x)*_ + sin(a+b*x)-cos(2*a)*Si(2*b*x))/b +--R +--R +--R (145) +--R - 2cos(b x + a)log(x)sin(b x + a) + Ci(2b x)sin(2a) + 2b x log(x) +--R + +--R Si(2b x)cos(2a) - 2b x +--R / +--R 4b +--R Type: Expression Integer +--E 287 + +--S 288 of 460 +a0357:= integrate(t0357,x) +--R +--R +--R x +--R ++ 2 +--R (146) | log(%R)sin(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 288 + +--S 289 of 460 +--m0357:= a0357-r0357 +--E 289 + +--S 290 of 460 +--d0357:= D(m0357,x) +--E 290 + +--S 291 of 460 +t0358:= log(x)*sin(a+b*x)^3 +--R +--R +--R 3 +--R (147) log(x)sin(b x + a) +--R Type: Expression Integer +--E 291 + +--S 292 of 460 +r0358:= 1/12*(9*cos(a)*Ci(b*x)-cos(3*a)*Ci(3*b*x)-12*log(x)*cos(a+b*x)+_ + 4*log(x)*cos(a+b*x)^3-9*sin(a)*Si(b*x)+sin(3*a)*Si(3*b*x))/b +--R +--R +--R (148) +--R Si(3b x)sin(3a) - 9Si(b x)sin(a) +--R + +--R 3 +--R (4cos(b x + a) - 12cos(b x + a))log(x) - Ci(3b x)cos(3a) + 9Ci(b x)cos(a) +--R / +--R 12b +--R Type: Expression Integer +--E 292 + +--S 293 of 460 +a0358:= integrate(t0358,x) +--R +--R +--R x +--R ++ 3 +--R (149) | log(%R)sin(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 293 + +--S 294 of 460 +--m0358:= a0358-r0358 +--E 294 + +--S 295 of 460 +--d0358:= D(m0358,x) +--E 295 + +--S 296 of 460 +t0359:= log(x)*cos(a+b*x) +--R +--R +--R (150) cos(b x + a)log(x) +--R Type: Expression Integer +--E 296 + +--S 297 of 460 +r0359:= -(Ci(b*x)*sin(a)-log(x)*sin(a+b*x)+cos(a)*Si(b*x))/b +--R +--R +--R log(x)sin(b x + a) - Ci(b x)sin(a) - Si(b x)cos(a) +--R (151) -------------------------------------------------- +--R b +--R Type: Expression Integer +--E 297 + +--S 298 of 460 +a0359:= integrate(t0359,x) +--R +--R +--R x +--R ++ +--R (152) | cos(%R b + a)log(%R)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 298 + +--S 299 of 460 +--m0359:= a0359-r0359 +--E 299 + +--S 300 of 460 +--d0359:= D(m0359,x) +--E 300 + +--S 301 of 460 +t0360:= log(x)*cos(a+b*x)^2 +--R +--R +--R 2 +--R (153) cos(b x + a) log(x) +--R Type: Expression Integer +--E 301 + +--S 302 of 460 +r0360:= 1/4*(-2*b*x-Ci(2*b*x)*sin(2*a)+2*log(x)*b*x+2*log(x)*cos(a+b*x)*_ + sin(a+b*x)-cos(2*a)*Si(2*b*x))/b +--R +--R +--R (154) +--R 2cos(b x + a)log(x)sin(b x + a) - Ci(2b x)sin(2a) + 2b x log(x) +--R + +--R - Si(2b x)cos(2a) - 2b x +--R / +--R 4b +--R Type: Expression Integer +--E 302 + +--S 303 of 460 +a0360:= integrate(t0360,x) +--R +--R +--R x +--R ++ 2 +--R (155) | cos(%R b + a) log(%R)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 303 + +--S 304 of 460 +--m0360:= a0360-r0360 +--E 304 + +--S 305 of 460 +--d0360:= D(m0360,x) +--E 305 + +--S 306 of 460 +t0361:= log(x)*cos(a+b*x)^3 +--R +--R +--R 3 +--R (156) cos(b x + a) log(x) +--R Type: Expression Integer +--E 306 + +--S 307 of 460 +r0361:= -1/12*(9*Ci(b*x)*sin(a)+Ci(3*b*x)*sin(3*a)-8*log(x)*sin(a+b*x)-_ + 4*log(x)*sin(a+b*x)*cos(a+b*x)^2+9*cos(a)*Si(b*x)+cos(3*a)*Si(3*b*x))/b +--R +--R +--R (157) +--R 2 +--R (4cos(b x + a) + 8)log(x)sin(b x + a) - Ci(3b x)sin(3a) - 9Ci(b x)sin(a) +--R + +--R - Si(3b x)cos(3a) - 9Si(b x)cos(a) +--R / +--R 12b +--R Type: Expression Integer +--E 307 + +--S 308 of 460 +a0361:= integrate(t0361,x) +--R +--R +--R x +--R ++ 3 +--R (158) | cos(%R b + a) log(%R)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 308 + +--S 309 of 460 +--m0361:= a0361-r0361 +--E 309 + +--S 310 of 460 +--d0361:= D(m0361,x) +--E 310 + +--S 311 of 460 +t0362:= log(x)*sinh(a+b*x) +--R +--R +--R (159) log(x)sinh(b x + a) +--R Type: Expression Integer +--E 311 + +--S 312 of 460 +r0362:= (-cosh(a)*Chi(b*x)+log(x)*cosh(a+b*x)-sinh(a)*Shi(b*x))/b +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 312 + +--S 313 of 460 +a0362:= integrate(t0362,x) +--R +--R +--R x +--R ++ +--R (160) | log(%R)sinh(%R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 313 + +--S 314 of 460 +--m0362:= a0362-r0362 +--E 314 + +--S 315 of 460 +--d0362:= D(m0362,x) +--E 315 + +--S 316 of 460 +t0363:= log(x)*sinh(a+b*x)^3 +--R +--R +--R 3 +--R (161) log(x)sinh(b x + a) +--R Type: Expression Integer +--E 316 + +--S 317 of 460 +r0363:= 1/12*(9*cosh(a)*Chi(b*x)-cosh(3*a)*Chi(3*b*x)-12*log(x)*cosh(a+b*x)+_ + 4*log(x)*cosh(a+b*x)^3+9*sinh(a)*Shi(b*x)-sinh(3*a)*Shi(3*b*x))/b +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 317 + +--S 318 of 460 +a0363:= integrate(t0363,x) +--R +--R +--R x +--R ++ 3 +--R (162) | log(%R)sinh(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 318 + +--S 319 of 460 +--m0363:= a0363-r0363 +--E 319 + +--S 320 of 460 +--d0363:= D(m0363,x) +--E 320 + +--S 321 of 460 +t0364:= log(x)*cosh(a+b*x) +--R +--R +--R (163) cosh(b x + a)log(x) +--R Type: Expression Integer +--E 321 + +--S 322 of 460 +r0364:= (-Chi(b*x)*sinh(a)+log(x)*sinh(a+b*x)-cosh(a)*Shi(b*x))/b +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 322 + +--S 323 of 460 +a0364:= integrate(t0364,x) +--R +--R +--R x +--R ++ +--R (164) | cosh(%R b + a)log(%R)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 323 + +--S 324 of 460 +--m0364:= a0364-r0364 +--E 324 + +--S 325 of 460 +--d0364:= D(m0364,x) +--E 325 + +--S 326 of 460 +t0365:= log(x)*cosh(a+b*x)^3 +--R +--R +--R 3 +--R (165) cosh(b x + a) log(x) +--R Type: Expression Integer +--E 326 + +--S 327 of 460 +r0365:= 1/12/b*(-9*Chi(b*x)*sinh(a)-Chi(3*b*x)*sinh(3*a)+8*log(x)*_ + sinh(a+b*x)+4*log(x)*sinh(a+b*x)*cosh(a+b*x)^2-_ + 9*cosh(a)*Shi(b*x)-cosh(3*a)*Shi(3*b*x)) +--R +--R There are no library operations named Chi +--R Use HyperDoc Browse or issue +--R )what op Chi +--R to learn if there is any operation containing " Chi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named Chi +--R with argument type(s) +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 327 + +--S 328 of 460 +a0365:= integrate(t0365,x) +--R +--R +--R x +--R ++ 3 +--R (166) | cosh(%R b + a) log(%R)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 328 + +--S 329 of 460 +--m0365:= a0365-r0365 +--E 329 + +--S 330 of 460 +--d0365:= D(m0365,x) +--E 330 + +--S 331 of 460 +t0366:= x*(4+x^2)^(1/2)*log(x) +--R +--R +--R +------+ +--R | 2 +--R (167) x log(x)\|x + 4 +--R Type: Expression Integer +--E 331 + +--S 332 of 460 +r0366:= -4/3*(4+x^2)^(1/2)-1/9*(4+x^2)^(3/2)+8/3*atanh(1/2*(4+x^2)^(1/2))+_ + 1/3*(4+x^2)^(3/2)*log(x) +--R +--R +--R +------+ +--R | 2 +------+ +--R \|x + 4 2 2 | 2 +--R 24atanh(---------) + ((3x + 12)log(x) - x - 16)\|x + 4 +--R 2 +--R (168) ---------------------------------------------------------- +--R 9 +--R Type: Expression Integer +--E 332 + +--S 333 of 460 +a0366:= integrate(t0366,x) +--R +--R +--R (169) +--R +------+ +------+ +--R 2 | 2 3 | 2 +--R ((24x + 24)\|x + 4 - 24x - 72x)log(\|x + 4 - x + 2) +--R + +--R +------+ +------+ +--R 2 | 2 3 | 2 +--R ((- 24x - 24)\|x + 4 + 24x + 72x)log(\|x + 4 - x - 2) +--R + +--R +------+ +--R 5 3 5 3 | 2 +--R ((- 3x - 21x - 36x)log(x) + x + 19x + 48x)\|x + 4 +--R + +--R 6 4 2 6 4 2 +--R (3x + 27x + 72x + 48)log(x) - x - 21x - 84x - 64 +--R / +--R +------+ +--R 2 | 2 3 +--R (9x + 9)\|x + 4 - 9x - 27x +--R Type: Union(Expression Integer,...) +--E 333 + +--S 334 of 460 +m0366:= a0366-r0366 +--R +--R +--R (170) +--R +------+ +--R +------+ +------+ | 2 +--R | 2 | 2 \|x + 4 +--R 8log(\|x + 4 - x + 2) - 8log(\|x + 4 - x - 2) - 8atanh(---------) +--R 2 +--R --------------------------------------------------------------------- +--R 3 +--R Type: Expression Integer +--E 334 + +--S 335 of 460 +d0366:= D(m0366,x) +--R +--R +--R (171) 0 +--R Type: Expression Integer +--E 335 + +--S 336 of 460 +t0367:= x*log(x)/(-1+x^2)^(1/2) +--R +--R +--R x log(x) +--R (172) --------- +--R +------+ +--R | 2 +--R \|x - 1 +--R Type: Expression Integer +--E 336 + +--S 337 of 460 +r0367:= -(-1+x^2)^(1/2)+atan((-1+x^2)^(1/2))+(-1+x^2)^(1/2)*log(x) +--R +--R +--R +------+ +------+ +--R | 2 | 2 +--R (173) atan(\|x - 1 ) + (log(x) - 1)\|x - 1 +--R Type: Expression Integer +--E 337 + +--S 338 of 460 +a0367:= integrate(t0367,x) +--R +--R +--R (174) +--R +------+ +------+ +------+ +--R | 2 | 2 | 2 +--R (2\|x - 1 - 2x)atan(\|x - 1 - x) + (- x log(x) + x)\|x - 1 +--R + +--R 2 2 +--R (x - 1)log(x) - x + 1 +--R / +--R +------+ +--R | 2 +--R \|x - 1 - x +--R Type: Union(Expression Integer,...) +--E 338 + +--S 339 of 460 +m0367:= a0367-r0367 +--R +--R +--R +------+ +------+ +--R | 2 | 2 +--R (175) - atan(\|x - 1 ) + 2atan(\|x - 1 - x) +--R Type: Expression Integer +--E 339 + +--S 340 of 460 +d0367:= D(m0367,x) +--R +--R +--R (176) 0 +--R Type: Expression Integer +--E 340 + +--S 341 of 460 +t0368:= log(cos(x))*tan(x) +--R +--R +--R (177) tan(x)log(cos(x)) +--R Type: Expression Integer +--E 341 + +--S 342 of 460 +r0368:= -1/2*log(cos(x))^2 +--R +--R +--R 2 +--R log(cos(x)) +--R (178) - ------------ +--R 2 +--R Type: Expression Integer +--E 342 + +--S 343 of 460 +a0368:= integrate(t0368,x) +--R +--R +--R 2 +--R log(cos(x)) +--R (179) - ------------ +--R 2 +--R Type: Union(Expression Integer,...) +--E 343 + +--S 344 of 460 +m0368:= a0368-r0368 +--R +--R +--R (180) 0 +--R Type: Expression Integer +--E 344 + +--S 345 of 460 +d0368:= D(m0368,x) +--R +--R +--R (181) 0 +--R Type: Expression Integer +--E 345 + +--S 346 of 460 +t0369:= cos(x)*log(cos(x)) +--R +--R +--R (182) cos(x)log(cos(x)) +--R Type: Expression Integer +--E 346 + +--S 347 of 460 +r0369:= atanh(sin(x))-sin(x)+log(cos(x))*sin(x) +--R +--R +--R (183) sin(x)log(cos(x)) + atanh(sin(x)) - sin(x) +--R Type: Expression Integer +--E 347 + +--S 348 of 460 +a0369:= integrate(t0369,x) +--R +--R +--R log(sin(x) + 1) - log(sin(x) - 1) + 2sin(x)log(cos(x)) - 2sin(x) +--R (184) ---------------------------------------------------------------- +--R 2 +--R Type: Union(Expression Integer,...) +--E 348 + +--S 349 of 460 +m0369:= a0369-r0369 +--R +--R +--R log(sin(x) + 1) - log(sin(x) - 1) - 2atanh(sin(x)) +--R (185) -------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 349 + +--S 350 of 460 +d0369:= D(m0369,x) +--R +--R +--R (186) 0 +--R Type: Expression Integer +--E 350 + +--S 351 of 460 +t0370:= log(sin(x))*sin(x)^2 +--R +--R +--R 2 +--R (187) sin(x) log(sin(x)) +--R Type: Expression Integer +--E 351 + +--S 352 of 460 +r0370:= 1/4*x+1/4*%i*x^2-1/2*x*log(1-exp(1)^(2*%i*x))+_ + 1/4*%i*polylog(2,exp(1)^(2*%i*x))+1/4*cos(x)*sin(x)+_ + 1/2*log(sin(x))*(x-cos(x)*sin(x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 352 + +--S 353 of 460 +a0370:= integrate(t0370,x) +--R +--R +--R x +--R ++ 2 +--R (188) | sin(%R) log(sin(%R))d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 353 + +--S 354 of 460 +--m0370:= a0370-r0370 +--E 354 + +--S 355 of 460 +--d0370:= D(m0370,x) +--E 355 + +--S 356 of 460 +t0371:= log(sin(x))*sin(x)^3 +--R +--R +--R 3 +--R (189) sin(x) log(sin(x)) +--R Type: Expression Integer +--E 356 + +--S 357 of 460 +r0371:= -2/3*atanh(cos(x))+2/3*cos(x)-1/9*cos(x)^3-_ + 1/3*cos(x)*(3-cos(x)^2)*log(sin(x)) +--R +--R +--R 3 3 +--R (3cos(x) - 9cos(x))log(sin(x)) - 6atanh(cos(x)) - cos(x) + 6cos(x) +--R (190) -------------------------------------------------------------------- +--R 9 +--R Type: Expression Integer +--E 357 + +--S 358 of 460 +a0371:= integrate(t0371,x) +--R +--R +--R (191) +--R 3 +--R (3cos(x) - 9cos(x))log(sin(x)) - 3log(cos(x) + 1) + 3log(cos(x) - 1) +--R + +--R 3 +--R - cos(x) + 6cos(x) +--R / +--R 9 +--R Type: Union(Expression Integer,...) +--E 358 + +--S 359 of 460 +--m0371:= a0371-r0371 +--E 359 + +--S 360 of 460 +--d0371:= D(m0371,x) +--E 360 + +--S 361 of 460 +t0372:= log(sin(x^(1/2))) +--R +--R +--R +-+ +--R (192) log(sin(\|x )) +--R Type: Expression Integer +--E 361 + +--S 362 of 460 +r0372:= 1/3*%i*x^(3/2)-x*log(1-exp(2*%i*x^(1/2)))+x*log(sin(x^(1/2)))+_ + %i*x^(1/2)*polylog(2,exp(2*%i*x^(1/2)))-_ + 1/2*polylog(3,exp(2*%i*x^(1/2))) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 362 + +--S 363 of 460 +a0372:= integrate(t0372,x) +--R +--R +--R x +--R ++ +--+ +--R (193) | log(sin(\|%R ))d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 363 + +--S 364 of 460 +--m0372:= a0372-r0372 +--E 364 + +--S 365 of 460 +--d0372:= D(m0372,x) +--E 365 + +--S 366 of 460 +t0373:= log(sin(x))*csc(x)^2 +--R +--R +--R 2 +--R (194) csc(x) log(sin(x)) +--R Type: Expression Integer +--E 366 + +--S 367 of 460 +r0373:= -x-cot(x)-cot(x)*log(sin(x)) +--R +--R +--R (195) - cot(x)log(sin(x)) - cot(x) - x +--R Type: Expression Integer +--E 367 + +--S 368 of 460 +a0373:= integrate(t0373,x) +--R +--R +--R 2 +--R cos(x)sin(x)log(sin(x)) + cos(x)sin(x) - x cos(x) + x +--R (196) ------------------------------------------------------ +--R 2 +--R cos(x) - 1 +--R Type: Union(Expression Integer,...) +--E 368 + +--S 369 of 460 +m0373:= a0373-r0373 +--R +--R +--R (197) +--R 2 +--R (cos(x)sin(x) + (cos(x) - 1)cot(x))log(sin(x)) + cos(x)sin(x) +--R + +--R 2 +--R (cos(x) - 1)cot(x) +--R / +--R 2 +--R cos(x) - 1 +--R Type: Expression Integer +--E 369 + +--S 370 of 460 +d0373:= D(m0373,x) +--R +--R +--R (198) +--R 2 3 +--R (cos(x) + 1)sin(x) +--R + +--R 4 2 2 2 +--R ((- cos(x) + 2cos(x) - 1)cot(x) + cos(x) - 1)sin(x) +--R * +--R log(sin(x)) +--R + +--R 2 3 +--R (cos(x) + 1)sin(x) +--R + +--R 4 2 2 4 +--R ((- cos(x) + 2cos(x) - 1)cot(x) + cos(x) - 1)sin(x) +--R + +--R 5 3 +--R (cos(x) - 2cos(x) + cos(x))cot(x) +--R / +--R 4 2 +--R (cos(x) - 2cos(x) + 1)sin(x) +--R Type: Expression Integer +--E 370 + +--S 371 of 460 +t0374:= x*log(x)/(a+b*x+c*x^2) +--R +--R +--R x log(x) +--R (199) -------------- +--R 2 +--R c x + b x + a +--R Type: Expression Integer +--E 371 + +--S 372 of 460 +r0374:= 1/2*(1-b/(b^2-4*a*c)^(1/2))*log(x)*_ + log((b-(b^2-4*a*c)^(1/2)+2*c*x)/(b-(b^2-4*a*c)^(1/2)))/c+_ + 1/2*(1+b/(b^2-4*a*c)^(1/2))*log(x)*log((b+(b^2-_ + 4*a*c)^(1/2)+2*c*x)/(b+(b^2-4*a*c)^(1/2)))/c+_ + 1/2*(1-b/(b^2-4*a*c)^(1/2))*_ + polylog(2,1-(b-(b^2-4*a*c)^(1/2)+2*c*x)/(b-(b^2-4*a*c)^(1/2)))/c+_ + 1/2*(1+b/(b^2-4*a*c)^(1/2))*_ + polylog(2,1-(b+(b^2-4*a*c)^(1/2)+2*c*x)/(b+(b^2-4*a*c)^(1/2)))/c +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 372 + +--S 373 of 460 +a0374:= integrate(t0374,x) +--R +--R +--R x +--R ++ %R log(%R) +--R (200) | --------------- d%R +--R ++ 2 +--R %R c + %R b + a +--R Type: Union(Expression Integer,...) +--E 373 + +--S 374 of 460 +--m0374:= a0374-r0374 +--E 374 + +--S 375 of 460 +--d0374:= D(m0374,x) +--E 375 + +--S 376 of 460 +t0375:= x^2*log(x)/(a+b*x+c*x^2) +--R +--R +--R 2 +--R x log(x) +--R (201) -------------- +--R 2 +--R c x + b x + a +--R Type: Expression Integer +--E 376 + +--S 377 of 460 +r0375:= -x/c+x*log(x)/c+1/4*(b-(b^2-4*a*c)^(1/2))^2*log(x)*_ + log((b-(b^2-4*a*c)^(1/2)+2*c*x)/(b-(b^2-4*a*c)^(1/2)))/c^2/_ + (b^2-4*a*c)^(1/2)-1/4*(b+(b^2-4*a*c)^(1/2))^2*log(x)*_ + log((b+(b^2-4*a*c)^(1/2)+2*c*x)/(b+(b^2-4*a*c)^(1/2)))/c^2/_ + (b^2-4*a*c)^(1/2)+1/4*(b-(b^2-4*a*c)^(1/2))^2*_ + polylog(2,1-(b-(b^2-4*a*c)^(1/2)+2*c*x)/(b-(b^2-4*a*c)^(1/2)))/_ + c^2/(b^2-4*a*c)^(1/2)-1/4*(b+(b^2-4*a*c)^(1/2))^2*_ + polylog(2,1-(b+(b^2-4*a*c)^(1/2)+2*c*x)/(b+(b^2-4*a*c)^(1/2)))/_ + c^2/(b^2-4*a*c)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 377 + +--S 378 of 460 +a0375:= integrate(t0375,x) +--R +--R +--R x 2 +--R ++ %R log(%R) +--R (202) | --------------- d%R +--R ++ 2 +--R %R c + %R b + a +--R Type: Union(Expression Integer,...) +--E 378 + +--S 379 of 460 +--m0375:= a0375-r0375 +--E 379 + +--S 380 of 460 +--d0375:= D(m0375,x) +--E 380 + +--S 381 of 460 +t0376:= log(x)/x^2/(a+b*x+c*x^2) +--R +--R +--R log(x) +--R (203) ------------------ +--R 4 3 2 +--R c x + b x + a x +--R Type: Expression Integer +--E 381 + +--S 382 of 460 +r0376:= -2*c/(b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))/x+_ + 2*c/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))/x-2*c*log(x)/_ + (b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))/x+_ + 2*c*log(x)/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))/x-_ + 2*c^2*log(x)^2/(b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))^2+_ + 2*c^2*log(x)^2/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))^2+_ + 4*c^2*log(x)*log((b-(b^2-4*a*c)^(1/2)+2*c*x)/_ + (b-(b^2-4*a*c)^(1/2)))/(b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))^2-_ + 4*c^2*log(x)*log((b+(b^2-4*a*c)^(1/2)+2*c*x)/_ + (b+(b^2-4*a*c)^(1/2)))/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))^2+_ + 4*c^2*polylog(2,1-(b-(b^2-4*a*c)^(1/2)+2*c*x)/_ + (b-(b^2-4*a*c)^(1/2)))/(b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))^2-_ + 4*c^2*polylog(2,1-(b+(b^2-4*a*c)^(1/2)+2*c*x)/_ + (b+(b^2-4*a*c)^(1/2)))/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression 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 382 + +--S 383 of 460 +a0376:= integrate(t0376,x) +--R +--R +--R x +--R ++ log(%R) +--R (204) | ------------------ d%R +--R ++ 4 3 2 +--R %R c + %R b + %R a +--R Type: Union(Expression Integer,...) +--E 383 + +--S 384 of 460 +--m0376:= a0376-r0376 +--E 384 + +--S 385 of 460 +--d0376:= D(m0376,x) +--E 385 + +--S 386 of 460 +t0377:= (2-log(x))*(3+log(x))^2/x +--R +--R +--R 3 2 +--R - log(x) - 4log(x) + 3log(x) + 18 +--R (205) ----------------------------------- +--R x +--R Type: Expression Integer +--E 386 + +--S 387 of 460 +r0377:= -1/12*(3+log(x))^3*(-11+3*log(x)) +--R +--R +--R 4 3 2 +--R - 3log(x) - 16log(x) + 18log(x) + 216log(x) + 297 +--R (206) ---------------------------------------------------- +--R 12 +--R Type: Expression Integer +--E 387 + +--S 388 of 460 +a0377:= integrate(t0377,x) +--R +--R +--R 4 3 2 +--R - 3log(x) - 16log(x) + 18log(x) + 216log(x) +--R (207) ---------------------------------------------- +--R 12 +--R Type: Union(Expression Integer,...) +--E 388 + +--S 389 of 460 +m0377:= a0377-r0377 +--R +--R +--R 99 +--R (208) - -- +--R 4 +--R Type: Expression Integer +--E 389 + +--S 390 of 460 +d0377:= D(m0377,x) +--R +--R +--R (209) 0 +--R Type: Expression Integer +--E 390 + +--S 391 of 460 +t0378:= (1+log(x))^(1/2)/x/log(x) +--R +--R +--R +----------+ +--R \|log(x) + 1 +--R (210) ------------- +--R x log(x) +--R Type: Expression Integer +--E 391 + +--S 392 of 460 +r0378:= -2*atanh((1+log(x))^(1/2))+2*(1+log(x))^(1/2) +--R +--R +--R +----------+ +----------+ +--R (211) - 2atanh(\|log(x) + 1 ) + 2\|log(x) + 1 +--R Type: Expression Integer +--E 392 + +--S 393 of 460 +a0378:= integrate(t0378,x) +--R +--R +--R +----------+ +----------+ +----------+ +--R (212) - log(\|log(x) + 1 + 1) + log(\|log(x) + 1 - 1) + 2\|log(x) + 1 +--R Type: Union(Expression Integer,...) +--E 393 + +--S 394 of 460 +m0378:= a0378-r0378 +--R +--R +--R (213) +--R +----------+ +----------+ +----------+ +--R - log(\|log(x) + 1 + 1) + log(\|log(x) + 1 - 1) + 2atanh(\|log(x) + 1 ) +--R Type: Expression Integer +--E 394 + +--S 395 of 460 +d0378:= D(m0378,x) +--R +--R +--R (214) 0 +--R Type: Expression Integer +--E 395 + +--S 396 of 460 +t0379:= (log(a*x^n)^2)^p/x +--R +--R +--R n 2p +--R log(a x ) +--R (215) ----------- +--R x +--R Type: Expression Integer +--E 396 + +--S 397 of 460 +r0379:= log(a*x^n)*(log(a*x^n)^2)^p/n/(1+2*p) +--R +--R +--R n n 2p +--R log(a x )log(a x ) +--R (216) -------------------- +--R 2n p + n +--R Type: Expression Integer +--E 397 + +--S 398 of 460 +a0379:= integrate(t0379,x) +--R +--R +--R 2p log(n log(x) + log(a)) +--R (n log(x) + log(a))%e +--R (217) ---------------------------------------------- +--R 2n p + n +--R Type: Union(Expression Integer,...) +--E 398 + +--S 399 of 460 +m0379:= a0379-r0379 +--R +--R +--R (218) +--R n n 2p 2p log(n log(x) + log(a)) +--R - log(a x )log(a x ) + (n log(x) + log(a))%e +--R ----------------------------------------------------------------------- +--R 2n p + n +--R Type: Expression Integer +--E 399 + +--S 400 of 460 +d0379:= D(m0379,x) +--R +--R +--R (219) +--R n - 1 n 2p n - 1 n n 2p - 1 +--R - x x log(a x ) - 2p x x log(a x )log(a x ) +--R + +--R n 2p log(n log(x) + log(a)) +--R (2p + 1)x %e +--R / +--R n +--R (2p + 1)x x +--R Type: Expression Integer +--E 400 + +--S 401 of 460 +t0380:= (log(a*x^n)^m)^p/x +--R +--R +--R n m p +--R log(a x ) +--R (220) ------------ +--R x +--R Type: Expression Integer +--E 401 + +--S 402 of 460 +r0380:= log(a*x^n)*(log(a*x^n)^m)^p/n/(1+m*p) +--R +--R +--R n n m p +--R log(a x )log(a x ) +--R (221) --------------------- +--R m n p + n +--R Type: Expression Integer +--E 402 + +--S 403 of 460 +a0380:= integrate(t0380,x) +--R +--R +--R m p log(n log(x) + log(a)) +--R (n log(x) + log(a))%e +--R (222) ----------------------------------------------- +--R m n p + n +--R Type: Union(Expression Integer,...) +--E 403 + +--S 404 of 460 +m0380:= a0380-r0380 +--R +--R +--R (223) +--R n n m p m p log(n log(x) + log(a)) +--R - log(a x )log(a x ) + (n log(x) + log(a))%e +--R ------------------------------------------------------------------------- +--R m n p + n +--R Type: Expression Integer +--E 404 + +--S 405 of 460 +d0380:= D(m0380,x) +--R +--R +--R (224) +--R n - 1 n m p n - 1 n n m p - 1 +--R - x x log(a x ) - m p x x log(a x )log(a x ) +--R + +--R n m p log(n log(x) + log(a)) +--R (m p + 1)x %e +--R / +--R n +--R (m p + 1)x x +--R Type: Expression Integer +--E 405 + +--S 406 of 460 +t0381:= (log(a*x^n)^2)^(1/2)/x +--R +--R +--R +----------+ +--R | n 2 +--R \|log(a x ) +--R (225) ------------- +--R x +--R Type: Expression Integer +--E 406 + +--S 407 of 460 +r0381:= 1/2*log(a*x^n)^2*csgn(log(a*x^n))/n +--R +--R There are no library operations named csgn +--R Use HyperDoc Browse or issue +--R )what op csgn +--R to learn if there is any operation containing " csgn " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named csgn +--R with argument type(s) +--R Expression 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 407 + +--S 408 of 460 +a0381:= integrate(t0381,x) +--R +--R +--R 2 +--R n log(x) + 2log(a)log(x) +--R (226) ------------------------- +--R 2 +--R Type: Union(Expression Integer,...) +--E 408 + +--S 409 of 460 +m0381:= a0381-r0381 +--R +--R +--R 2 +--R n log(x) + 2log(a)log(x) - 2r0381 +--R (227) ---------------------------------- +--R 2 +--R Type: Expression Integer +--E 409 + +--S 410 of 460 +d0381:= D(m0381,x) +--R +--R +--R n log(x) + log(a) +--R (228) ----------------- +--R x +--R Type: Expression Integer +--E 410 + +--S 411 of 460 +t0382:= (b*log(a*x^n)^m)^p/x +--R +--R +--R n m p +--R (b log(a x ) ) +--R (229) --------------- +--R x +--R Type: Expression Integer +--E 411 + +--S 412 of 460 +r0382:= log(a*x^n)*(b*log(a*x^n)^m)^p/n/(1+m*p) +--R +--R +--R n n m p +--R log(a x )(b log(a x ) ) +--R (230) ------------------------ +--R m n p + n +--R Type: Expression Integer +--E 412 + +--S 413 of 460 +a0382:= integrate(t0382,x) +--R +--R +--R m p log(n log(x) + log(a)) + p log(b) +--R (n log(x) + log(a))%e +--R (231) ---------------------------------------------------------- +--R m n p + n +--R Type: Union(Expression Integer,...) +--E 413 + +--S 414 of 460 +m0382:= a0382-r0382 +--R +--R +--R (232) +--R n n m p +--R - log(a x )(b log(a x ) ) +--R + +--R m p log(n log(x) + log(a)) + p log(b) +--R (n log(x) + log(a))%e +--R / +--R m n p + n +--R Type: Expression Integer +--E 414 + +--S 415 of 460 +d0382:= D(m0382,x) +--R +--R +--R (233) +--R n - 1 n m p +--R - x x (b log(a x ) ) +--R + +--R n - 1 n n m - 1 n m p - 1 +--R - b m p x x log(a x )log(a x ) (b log(a x ) ) +--R + +--R n m p log(n log(x) + log(a)) + p log(b) +--R (m p + 1)x %e +--R / +--R n +--R (m p + 1)x x +--R Type: Expression Integer +--E 415 + +--S 416 of 460 +t0383:= 1/(-log(a*x^2))^(1/2) +--R +--R +--R 1 +--R (234) -------------- +--R +-----------+ +--R | 2 +--R \|- log(a x ) +--R Type: Expression Integer +--E 416 + +--S 417 of 460 +r0383:= -1/2*2^(1/2)*%pi^(1/2)*x*erf(1/2*(-log(a*x^2))^(1/2)*2^(1/2))/_ + (a*x^2)^(1/2) +--R +--R +--R +-----------+ +--R +-+ | 2 +--R +-+ +---+ \|2 \|- log(a x ) +--R x\|2 \|%pi erf(------------------) +--R 2 +--R (235) - ---------------------------------- +--R +----+ +--R | 2 +--R 2\|a x +--R Type: Expression Integer +--E 417 + +--S 418 of 460 +a0383:= integrate(t0383,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 418 + +--S 419 of 460 +--m0383:= a0383-r0383 +--E 419 + +--S 420 of 460 +--d0383:= D(m0383,x) +--E 420 + +--S 421 of 460 +t0384:= 1/(-log(a/x^2))^(1/2) +--R +--R +--R 1 +--R (236) ------------ +--R +---------+ +--R | a +--R |- log(--) +--R | 2 +--R \| x +--R Type: Expression Integer +--E 421 + +--S 422 of 460 +r0384:= 1/2*2^(1/2)*%pi^(1/2)*(a/x^2)^(1/2)*x*_ + erfi(1/2*(-log(a/x^2))^(1/2)*2^(1/2)) +--R +--R There are no library operations named erfi +--R Use HyperDoc Browse or issue +--R )what op erfi +--R to learn if there is any operation containing " erfi " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named erfi +--R with argument type(s) +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 422 + +--S 423 of 460 +a0384:= integrate(t0384,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 423 + +--S 424 of 460 +--m0384:= a0384-r0384 +--E 424 + +--S 425 of 460 +--d0384:= D(m0384,x) +--E 425 + +--S 426 of 460 +t0385:= 1/(-log(a*x^n))^(1/2) +--R +--R +--R 1 +--R (237) -------------- +--R +-----------+ +--R | n +--R \|- log(a x ) +--R Type: Expression Integer +--E 426 + +--S 427 of 460 +r0385:= -%pi^(1/2)*x*erf((-log(a*x^n))^(1/2)/n^(1/2))/n^(1/2)/((a*x^n)^(1/n)) +--R +--R +--R +-----------+ +--R | n +--R +---+ \|- log(a x ) +--R x\|%pi erf(--------------) +--R +-+ +--R \|n +--R (238) - -------------------------- +--R 1 +--R - +--R +-+ n n +--R \|n (a x ) +--R Type: Expression Integer +--E 427 + +--S 428 of 460 +a0385:= integrate(t0385,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 428 + +--S 429 of 460 +--m0385:= a0385-r0385 +--E 429 + +--S 430 of 460 +--d0385:= D(m0385,x) +--E 430 + +--S 431 of 460 +t0386:= log(x^n)/(a+b*x) +--R +--R +--R n +--R log(x ) +--R (239) ------- +--R b x + a +--R Type: Expression Integer +--E 431 + +--S 432 of 460 +r0386:= 1/b*(log(x^n)*log((a+b*x)/a)+n*polylog(2,-b*x/a)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 432 + +--S 433 of 460 +a0386:= integrate(t0386,x) +--R +--R +--R x n +--R ++ log(%R ) +--R (240) | -------- d%R +--R ++ %R b + a +--R Type: Union(Expression Integer,...) +--E 433 + +--S 434 of 460 +--m0386:= a0386-r0386 +--E 434 + +--S 435 of 460 +--d0386:= D(m0386,x) +--E 435 + +--S 436 of 460 +t0387:= sin(x*log(x))+log(x)*sin(x*log(x)) +--R +--R +--R (241) (log(x) + 1)sin(x log(x)) +--R Type: Expression Integer +--E 436 + +--S 437 of 460 +r0387:= -cos(x*log(x)) +--R +--R +--R (242) - cos(x log(x)) +--R Type: Expression Integer +--E 437 + +--S 438 of 460 +a0387:= integrate(t0387,x) +--R +--R +--R (243) - cos(x log(x)) +--R Type: Union(Expression Integer,...) +--E 438 + +--S 439 of 460 +m0387:= a0387-r0387 +--R +--R +--R (244) 0 +--R Type: Expression Integer +--E 439 + +--S 440 of 460 +d0387:= D(m0387,x) +--R +--R +--R (245) 0 +--R Type: Expression Integer +--E 440 + +--S 441 of 460 +t0388:= log((1-x^2)/(1+x^2))/(1+x)^2 +--R +--R +--R 2 +--R - x + 1 +--R log(--------) +--R 2 +--R x + 1 +--R (246) ------------- +--R 2 +--R x + 2x + 1 +--R Type: Expression Integer +--E 441 + +--S 442 of 460 +r0388:= -1/(1+x)-atan(x)+1/2*log(1-x)+1/2*log(1+x)-_ + log((1-x^2)/(1+x^2))/(1+x)-1/2*log(1+x^2) +--R +--R +--R (247) +--R 2 +--R 2 - x + 1 +--R (- x - 1)log(x + 1) + (x + 1)log(x + 1) - 2log(--------) +--R 2 +--R x + 1 +--R + +--R (x + 1)log(- x + 1) + (- 2x - 2)atan(x) - 2 +--R / +--R 2x + 2 +--R Type: Expression Integer +--E 442 + +--S 443 of 460 +a0388:= integrate(t0388,x) +--R +--R +--R (248) +--R 2 +--R 2 2 - x + 1 +--R (- x - 1)log(x + 1) + (x + 1)log(x - 1) - 2log(--------) +--R 2 +--R x + 1 +--R + +--R (- 2x - 2)atan(x) - 2 +--R / +--R 2x + 2 +--R Type: Union(Expression Integer,...) +--E 443 + +--S 444 of 460 +m0388:= a0388-r0388 +--R +--R +--R 2 +--R log(x - 1) - log(x + 1) - log(- x + 1) +--R (249) --------------------------------------- +--R 2 +--R Type: Expression Integer +--E 444 + +--S 445 of 460 +d0388:= D(m0388,x) +--R +--R +--R (250) 0 +--R Type: Expression Integer +--E 445 + +--S 446 of 460 +t0389:= log((-1+x)/(1+x)) +--R +--R +--R x - 1 +--R (251) log(-----) +--R x + 1 +--R Type: Expression Integer +--E 446 + +--S 447 of 460 +r0389:= x*log((-1+x)/(1+x))-log(-(-1+x)*(1+x)) +--R +--R +--R x - 1 2 +--R (252) x log(-----) - log(- x + 1) +--R x + 1 +--R Type: Expression Integer +--E 447 + +--S 448 of 460 +a0389:= integrate(t0389,x) +--R +--R +--R 2 x - 1 +--R (253) - log(x - 1) + x log(-----) +--R x + 1 +--R Type: Union(Expression Integer,...) +--E 448 + +--S 449 of 460 +m0389:= a0389-r0389 +--R +--R +--R 2 2 +--R (254) - log(x - 1) + log(- x + 1) +--R Type: Expression Integer +--E 449 + +--S 450 of 460 +d0389:= D(m0389,x) +--R +--R +--R (255) 0 +--R Type: Expression Integer +--E 450 + +--S 451 of 460 +t0390:= log(x)/(-1+x) +--R +--R +--R log(x) +--R (256) ------ +--R x - 1 +--R Type: Expression Integer +--E 451 + +--S 452 of 460 +r0390:= -polylog(2,1-x) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 452 + +--S 453 of 460 +a0390:= integrate(t0390,x) +--R +--R +--R (257) - dilog(x) +--R Type: Union(Expression Integer,...) +--E 453 + +--S 454 of 460 +--m0390:= a0390-r0390 +--E 454 + +--S 455 of 460 +--d0390:= D(m0390,x) +--E 455 + +--S 456 of 460 +t0391:= x*log(1-a-b*x)/(a+b*x) +--R +--R +--R x log(- b x - a + 1) +--R (258) -------------------- +--R b x + a +--R Type: Expression Integer +--E 456 + +--S 457 of 460 +r0391:= -x/b-(1-a-b*x)*log(1-a-b*x)/b^2+a*polylog(2,a+b*x)/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 457 + +--S 458 of 460 +a0391:= integrate(t0391,x) +--R +--R +--R x +--R ++ %R log(- %R b - a + 1) +--R (259) | ---------------------- d%R +--R ++ %R b + a +--R Type: Union(Expression Integer,...) +--E 458 + +--S 459 of 460 +--m0391:= a0391-r0391 +--E 459 + +--S 460 of 460 +--d0391:= D(m0391,x) +--E 460 + +)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}