diff --git a/changelog b/changelog index 204b9c7..5d98be3 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +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 20100617 tpd src/axiom-website/patches.html 20100617.02.tpd.patch 20100617 tpd src/input/Makefile rule-based log integration 20100617 tpd src/input/richlog100-199.input rule-based log integration diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 3d7dbca..a46ac07 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2912,6 +2912,8 @@ src/input/richhyper900-999.input rule-based hyper integration
src/input/richlog000-099.input rule-based log integration
20100617.02.tpd.patch src/input/richlog100-199.input rule-based log integration
+20100617.03.tpd.patch +src/input/richlog200-299.input rule-based log integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index 180cd29..ca523b7 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -388,6 +388,7 @@ REGRES= ackermann.regress \ richhyper1000-1098.regress \ richlog000-099.regress \ richlog100-199.regress \ + richlog200-299.regress \ richrational.regress \ richtrig000-099.regress \ richtrig100-199.regress \ @@ -730,6 +731,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richhyper1000-1098.input \ ${OUT}/richlog000-099.input \ ${OUT}/richlog100-199.input \ + ${OUT}/richlog200-299.input \ ${OUT}/richrational.input \ ${OUT}/richtrig000-099.input \ ${OUT}/richtrig100-199.input \ @@ -1101,6 +1103,7 @@ DOCFILES= \ ${DOC}/richhyper1000-1098.input.dvi \ ${DOC}/richlog000-099.input.dvi \ ${DOC}/richlog100-199.input.dvi \ + ${DOC}/richlog200-299.input.dvi \ ${DOC}/richrational.input.dvi \ ${DOC}/richtrig000-099.input.dvi \ ${DOC}/richtrig100-199.input.dvi \ diff --git a/src/input/richlog200-299.input.pamphlet b/src/input/richlog200-299.input.pamphlet new file mode 100644 index 0000000..47655ea --- /dev/null +++ b/src/input/richlog200-299.input.pamphlet @@ -0,0 +1,6135 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richlog200-299.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richlog200-299.output +)spool richlog200-299.output +)set message auto off +)clear all + +--S 1 of 514 +t0200:= log(c*(a+b*x)^n)^2/x^2 +--R +--R +--R n 2 +--R log(c (b x + a) ) +--R (1) ------------------ +--R 2 +--R x +--R Type: Expression Integer +--E 1 + +--S 2 of 514 +r0200:= 2*b*n*log(-b*x/a)*log(c*(a+b*x)^n)/a-(a+b*x)*log(c*(a+b*x)^n)^2/a/x+_ + 2*b*n^2*polylog(2,1+b*x/a)/a +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 2 + +--S 3 of 514 +a0200:= integrate(t0200,x) +--R +--R +--R x n 2 +--R ++ log(c (%I b + a) ) +--R (2) | ------------------- d%I +--R ++ 2 +--R %I +--R Type: Union(Expression Integer,...) +--E 3 + +--S 4 of 514 +--m0200:= a0200-r0200 +--E 4 + +--S 5 of 514 +--d0200:= D(m0200,x) +--E 5 + +--S 6 of 514 +t0201:= log(c*(a+b*x)^n)^2/x^3 +--R +--R +--R n 2 +--R log(c (b x + a) ) +--R (3) ------------------ +--R 3 +--R x +--R Type: Expression Integer +--E 6 + +--S 7 of 514 +r0201:= b^2*n^2*log(x)/a^2-b^2*n^2*log(a+b*x)/a^2-b*n*log(c*(a+b*x)^n)/a/x-_ + b^2*n*log(-b*x/a)*log(c*(a+b*x)^n)/a^2+1/2*b^2*_ + log(c*(a+b*x)^n)^2/a^2-1/2*log(c*(a+b*x)^n)^2/x^2-_ + b^2*n^2*polylog(2,1+b*x/a)/a^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 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 7 + +--S 8 of 514 +a0201:= integrate(t0201,x) +--R +--R +--R x n 2 +--R ++ log(c (%I b + a) ) +--R (4) | ------------------- d%I +--R ++ 3 +--R %I +--R Type: Union(Expression Integer,...) +--E 8 + +--S 9 of 514 +--m0201:= a0201-r0201 +--E 9 + +--S 10 of 514 +--d0201:= D(m0201,x) +--E 10 + +--S 11 of 514 +t0202:= x*log(c*(a+b*x)^n)^3 +--R +--R +--R n 3 +--R (5) x log(c (b x + a) ) +--R Type: Expression Integer +--E 11 + +--S 12 of 514 +r0202:= 21/4*a*n^3*x/b-3/8*n^3*x^2-3/4*a^2*n^3*log(a+b*x)/b^2+_ + 3/4*n^2*x^2*log(c*(a+b*x)^n)-9/2*a*n^2*(a+b*x)*log(c*(a+b*x)^n)/b^2-_ + 3/4*n*x^2*log(c*(a+b*x)^n)^2+9/4*a*n*(a+2/3*b*x)*_ + log(c*(a+b*x)^n)^2/b^2-1/2*a^2*log(c*(a+b*x)^n)^3/b^2+_ + 1/2*x^2*log(c*(a+b*x)^n)^3 +--R +--R +--R (6) +--R 2 2 2 n 3 +--R (4b x - 4a )log(c (b x + a) ) +--R + +--R 2 2 2 n 2 +--R (- 6b n x + 12a b n x + 18a n)log(c (b x + a) ) +--R + +--R 2 2 2 2 2 2 n 2 3 +--R (6b n x - 36a b n x - 36a n )log(c (b x + a) ) - 6a n log(b x + a) +--R + +--R 2 3 2 3 +--R - 3b n x + 42a b n x +--R / +--R 2 +--R 8b +--R Type: Expression Integer +--E 12 + +--S 13 of 514 +a0202:= integrate(t0202,x) +--R +--R +--R (7) +--R 2 3 2 2 3 3 +--R (4b n x - 4a n )log(b x + a) +--R + +--R 2 2 2 2 2 2 3 2 3 2 3 2 +--R ((12b n x - 12a n )log(c) - 6b n x + 12a b n x + 18a n )log(b x + a) +--R + +--R 2 2 2 2 2 2 2 2 2 2 +--R (12b n x - 12a n)log(c) + (- 12b n x + 24a b n x + 36a n )log(c) +--R + +--R 2 3 2 3 2 3 +--R 6b n x - 36a b n x - 42a n +--R * +--R log(b x + a) +--R + +--R 2 2 3 2 2 2 +--R 4b x log(c) + (- 6b n x + 12a b n x)log(c) +--R + +--R 2 2 2 2 2 3 2 3 +--R (6b n x - 36a b n x)log(c) - 3b n x + 42a b n x +--R / +--R 2 +--R 8b +--R Type: Union(Expression Integer,...) +--E 13 + +--S 14 of 514 +m0202:= a0202-r0202 +--R +--R +--R (8) +--R 2 2 2 n 3 +--R (- 2b x + 2a )log(c (b x + a) ) +--R + +--R 2 2 2 n 2 +--R (3b n x - 6a b n x - 9a n)log(c (b x + a) ) +--R + +--R 2 2 2 2 2 2 n +--R (- 3b n x + 18a b n x + 18a n )log(c (b x + a) ) +--R + +--R 2 3 2 2 3 3 +--R (2b n x - 2a n )log(b x + a) +--R + +--R 2 2 2 2 2 2 3 2 3 2 3 2 +--R ((6b n x - 6a n )log(c) - 3b n x + 6a b n x + 9a n )log(b x + a) +--R + +--R 2 2 2 2 2 2 2 2 2 2 +--R (6b n x - 6a n)log(c) + (- 6b n x + 12a b n x + 18a n )log(c) +--R + +--R 2 3 2 3 2 3 +--R 3b n x - 18a b n x - 18a n +--R * +--R log(b x + a) +--R + +--R 2 2 3 2 2 2 2 2 2 2 +--R 2b x log(c) + (- 3b n x + 6a b n x)log(c) + (3b n x - 18a b n x)log(c) +--R / +--R 2 +--R 4b +--R Type: Expression Integer +--E 14 + +--S 15 of 514 +d0202:= D(m0202,x) +--R +--R +--R (9) +--R 2 2 n n 3 +--R (- 4b x - 4a b x)(b x + a) log(c (b x + a) ) +--R + +--R 2 2 2 n +--R (6b n x - 6a n)(b x + a) +--R + +--R 3 3 2 2 2 3 n - 1 +--R (- 6b n x - 6a b n x + 6a b n x + 6a n)(b x + a) +--R * +--R n 2 +--R log(c (b x + a) ) +--R + +--R 2 2 2 2 2 2 n +--R (- 6b n x + 12a b n x + 18a n )(b x + a) +--R + +--R 3 2 3 2 2 2 2 2 3 2 n - 1 +--R (6b n x - 6a b n x - 30a b n x - 18a n )(b x + a) +--R * +--R n +--R log(c (b x + a) ) +--R + +--R 2 3 2 3 3 +--R (4b n x + 4a b n x)log(b x + a) +--R + +--R 2 2 2 2 2 +--R (12b n x + 12a b n x)log(c)log(b x + a) +--R + +--R 2 2 2 2 2 3 +--R (12b n x + 12a b n x)log(c) log(b x + a) + (4b x + 4a b x)log(c) +--R + +--R 2 3 2 3 2 3 +--R 3b n x - 18a b n x - 18a n +--R * +--R n +--R (b x + a) +--R + +--R 3 3 3 2 3 2 2 3 3 3 n - 1 +--R (- 3b n x + 15a b n x + 36a b n x + 18a n )(b x + a) +--R / +--R 2 n +--R (4b x + 4a b)(b x + a) +--R Type: Expression Integer +--E 15 + +--S 16 of 514 +t0203:= log(c*(a+b*x)^n)^3 +--R +--R +--R n 3 +--R (10) log(c (b x + a) ) +--R Type: Expression Integer +--E 16 + +--S 17 of 514 +r0203:= -6*n^3*x+6*n^2*(a+b*x)*log(c*(a+b*x)^n)/b-3*n*(a+b*x)*log(c*(a+b*x)^n)^2/b+(a+b*x)*log(c*(a+b*x)^n)^3/b +--R +--R +--R (11) +--R n 3 n 2 +--R (b x + a)log(c (b x + a) ) + (- 3b n x - 3a n)log(c (b x + a) ) +--R + +--R 2 2 n 3 +--R (6b n x + 6a n )log(c (b x + a) ) - 6b n x +--R / +--R b +--R Type: Expression Integer +--E 17 + +--S 18 of 514 +a0203:= integrate(t0203,x) +--R +--R +--R (12) +--R 3 3 3 +--R (b n x + a n )log(b x + a) +--R + +--R 2 2 3 3 2 +--R ((3b n x + 3a n )log(c) - 3b n x - 3a n )log(b x + a) +--R + +--R 2 2 2 3 3 +--R ((3b n x + 3a n)log(c) + (- 6b n x - 6a n )log(c) + 6b n x + 6a n ) +--R * +--R log(b x + a) +--R + +--R 3 2 2 3 +--R b x log(c) - 3b n x log(c) + 6b n x log(c) - 6b n x +--R / +--R b +--R Type: Union(Expression Integer,...) +--E 18 + +--S 19 of 514 +m0203:= a0203-r0203 +--R +--R +--R (13) +--R n 3 n 2 +--R (- b x - a)log(c (b x + a) ) + (3b n x + 3a n)log(c (b x + a) ) +--R + +--R 2 2 n 3 3 3 +--R (- 6b n x - 6a n )log(c (b x + a) ) + (b n x + a n )log(b x + a) +--R + +--R 2 2 3 3 2 +--R ((3b n x + 3a n )log(c) - 3b n x - 3a n )log(b x + a) +--R + +--R 2 2 2 3 3 +--R ((3b n x + 3a n)log(c) + (- 6b n x - 6a n )log(c) + 6b n x + 6a n ) +--R * +--R log(b x + a) +--R + +--R 3 2 2 +--R b x log(c) - 3b n x log(c) + 6b n x log(c) +--R / +--R b +--R Type: Expression Integer +--E 19 + +--S 20 of 514 +d0203:= D(m0203,x) +--R +--R +--R (14) +--R n n 3 +--R - (b x + a) log(c (b x + a) ) +--R + +--R n n - 1 n 2 +--R (3n (b x + a) + (- 3b n x - 3a n)(b x + a) )log(c (b x + a) ) +--R + +--R 2 n 2 2 n - 1 n +--R (- 6n (b x + a) + (6b n x + 6a n )(b x + a) )log(c (b x + a) ) +--R + +--R 3 3 2 2 2 +--R n log(b x + a) + 3n log(c)log(b x + a) + 3n log(c) log(b x + a) +--R + +--R 3 3 +--R log(c) + 6n +--R * +--R n +--R (b x + a) +--R + +--R 3 3 n - 1 +--R (- 6b n x - 6a n )(b x + a) +--R / +--R n +--R (b x + a) +--R Type: Expression Integer +--E 20 + +--S 21 of 514 +t0204:= log(c*(a+b*x)^n)^3/x +--R +--R +--R n 3 +--R log(c (b x + a) ) +--R (15) ------------------ +--R x +--R Type: Expression Integer +--E 21 + +--S 22 of 514 +r0204:= log(-b*x/a)*log(c*(a+b*x)^n)^3+3*n*log(c*(a+b*x)^n)^2*_ + polylog(2,1+b*x/a)-6*n^2*log(c*(a+b*x)^n)*_ + polylog(3,1+b*x/a)+6*n^3*polylog(4,(a+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 22 + +--S 23 of 514 +a0204:= integrate(t0204,x) +--R +--R +--R x n 3 +--R ++ log(c (%I b + a) ) +--R (16) | ------------------- d%I +--R ++ %I +--R Type: Union(Expression Integer,...) +--E 23 + +--S 24 of 514 +--m0204:= a0204-r0204 +--E 24 + +--S 25 of 514 +--d0204:= D(m0204,x) +--E 25 + +--S 26 of 514 +t0205:= log(c*(a+b*x)^n)^3/x^2 +--R +--R +--R n 3 +--R log(c (b x + a) ) +--R (17) ------------------ +--R 2 +--R x +--R Type: Expression Integer +--E 26 + +--S 27 of 514 +r0205:= 3*b*n*log(-b*x/a)*log(c*(a+b*x)^n)^2/a-_ + (a+b*x)*log(c*(a+b*x)^n)^3/a/x+6*b*n^2*log(c*(a+b*x)^n)*_ + polylog(2,1+b*x/a)/a-6*b*n^3*polylog(3,(a+b*x)/a)/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 "$" to specify which version of the function you need. +--E 27 + +--S 28 of 514 +a0205:= integrate(t0205,x) +--R +--R +--R x n 3 +--R ++ log(c (%I b + a) ) +--R (18) | ------------------- d%I +--R ++ 2 +--R %I +--R Type: Union(Expression Integer,...) +--E 28 + +--S 29 of 514 +--m0205:= a0205-r0205 +--E 29 + +--S 30 of 514 +--d0205:= D(m0205,x) +--E 30 + +--S 31 of 514 +t0206:= log(c*(a+b*x)^n)^3/x^3 +--R +--R +--R n 3 +--R log(c (b x + a) ) +--R (19) ------------------ +--R 3 +--R x +--R Type: Expression Integer +--E 31 + +--S 32 of 514 +r0206:= 3*b^2*n^2*log(-b*x/a)*log(c*(a+b*x)^n)/a^2-3/2*b*n*(a+b*x)*_ + log(c*(a+b*x)^n)^2/a^2/x-3/2*b^2*n*log(-b*x/a)*_ + log(c*(a+b*x)^n)^2/a^2+1/2*b^2*log(c*(a+b*x)^n)^3/a^2-1/2*_ + log(c*(a+b*x)^n)^3/x^2+3*b^2*n^2*(n-log(c*(a+b*x)^n))*_ + polylog(2,1+b*x/a)/a^2+3*b^2*n^3*polylog(3,(a+b*x)/a)/a^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 32 + +--S 33 of 514 +a0206:= integrate(t0206,x) +--R +--R +--R x n 3 +--R ++ log(c (%I b + a) ) +--R (20) | ------------------- d%I +--R ++ 3 +--R %I +--R Type: Union(Expression Integer,...) +--E 33 + +--S 34 of 514 +--m0206:= a0206-r0206 +--E 34 + +--S 35 of 514 +--d0206:= D(m0206,x) +--E 35 + +--S 36 of 514 +t0207:= x^3/log(c*(a+b*x)^n) +--R +--R +--R 3 +--R x +--R (21) ----------------- +--R n +--R log(c (b x + a) ) +--R Type: Expression Integer +--E 36 + +--S 37 of 514 +r0207:= -a^3*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^4/n+_ + 3*a^2*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^4/n-_ + 3*a*(a+b*x)^3*Ei(3*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(3/n))/b^4/n+_ + (a+b*x)^4*Ei(4*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(4/n))/b^4/n +--R +--R +--R (22) +--R 1 2 +--R - - +--R 4 4 3 3 2 2 2 3 4 n n n n +--R (b x + 4a b x + 6a b x + 4a b x + a )(c (b x + a) ) (c (b x + a) ) +--R * +--R 3 +--R - n +--R n n 4log(c (b x + a) ) +--R (c (b x + a) ) Ei(------------------) +--R n +--R + +--R 1 2 +--R - - +--R 3 3 2 2 2 3 4 n n n n +--R (- 3a b x - 9a b x - 9a b x - 3a )(c (b x + a) ) (c (b x + a) ) +--R * +--R 4 +--R - n +--R n n 3log(c (b x + a) ) +--R (c (b x + a) ) Ei(------------------) +--R n +--R + +--R 1 3 4 +--R - - - +--R 2 2 2 3 4 n n n n n n +--R (3a b x + 6a b x + 3a )(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R * +--R n +--R 2log(c (b x + a) ) +--R Ei(------------------) +--R n +--R + +--R 2 3 4 +--R - - - +--R 3 4 n n n n n n +--R (- a b x - a )(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R * +--R n +--R log(c (b x + a) ) +--R Ei(-----------------) +--R n +--R / +--R 1 2 3 4 +--R - - - - +--R 4 n n n n n n n n +--R b n (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R Type: Expression Integer +--E 37 + +--S 38 of 514 +a0207:= integrate(t0207,x) +--R +--R +--R x 3 +--R ++ %I +--R (23) | ------------------ d%I +--R ++ n +--R log(c (%I b + a) ) +--R Type: Union(Expression Integer,...) +--E 38 + +--S 39 of 514 +--m0207:= a0207-r0207 +--E 39 + +--S 40 of 514 +--d0207:= D(m0207,x) +--E 40 + +--S 41 of 514 +t0208:= x^2/log(c*(a+b*x)^n) +--R +--R +--R 2 +--R x +--R (24) ----------------- +--R n +--R log(c (b x + a) ) +--R Type: Expression Integer +--E 41 + +--S 42 of 514 +r0208:= a^2*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^3/n-_ + 2*a*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^3/n+_ + (a+b*x)^3*Ei(3*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(3/n))/b^3/n +--R +--R +--R (25) +--R 1 2 +--R - - +--R 3 3 2 2 2 3 n n n n +--R (b x + 3a b x + 3a b x + a )(c (b x + a) ) (c (b x + a) ) +--R * +--R n +--R 3log(c (b x + a) ) +--R Ei(------------------) +--R n +--R + +--R 1 3 +--R - - +--R 2 2 2 3 n n n n +--R (- 2a b x - 4a b x - 2a )(c (b x + a) ) (c (b x + a) ) +--R * +--R n +--R 2log(c (b x + a) ) +--R Ei(------------------) +--R n +--R + +--R 2 3 +--R - - n +--R 2 3 n n n n log(c (b x + a) ) +--R (a b x + a )(c (b x + a) ) (c (b x + a) ) Ei(-----------------) +--R n +--R / +--R 1 2 3 +--R - - - +--R 3 n n n n n n +--R b n (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R Type: Expression Integer +--E 42 + +--S 43 of 514 +a0208:= integrate(t0208,x) +--R +--R +--R x 2 +--R ++ %I +--R (26) | ------------------ d%I +--R ++ n +--R log(c (%I b + a) ) +--R Type: Union(Expression Integer,...) +--E 43 + +--S 44 of 514 +--m0208:= a0208-r0208 +--E 44 + +--S 45 of 514 +--d0208:= D(m0208,x) +--E 45 + +--S 46 of 514 +t0209:= x/log(c*(a+b*x)^n) +--R +--R +--R x +--R (27) ----------------- +--R n +--R log(c (b x + a) ) +--R Type: Expression Integer +--E 46 + +--S 47 of 514 +r0209:= -a*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^2/n+_ + (a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^2/n +--R +--R +--R (28) +--R 1 +--R - n +--R 2 2 2 n n 2log(c (b x + a) ) +--R (b x + 2a b x + a )(c (b x + a) ) Ei(------------------) +--R n +--R + +--R 2 +--R - n +--R 2 n n log(c (b x + a) ) +--R (- a b x - a )(c (b x + a) ) Ei(-----------------) +--R n +--R / +--R 1 2 +--R - - +--R 2 n n n n +--R b n (c (b x + a) ) (c (b x + a) ) +--R Type: Expression Integer +--E 47 + +--S 48 of 514 +a0209:= integrate(t0209,x) +--R +--R +--R x +--R ++ %I +--R (29) | ------------------ d%I +--R ++ n +--R log(c (%I b + a) ) +--R Type: Union(Expression Integer,...) +--E 48 + +--S 49 of 514 +--m0209:= a0209-r0209 +--E 49 + +--S 50 of 514 +--d0209:= D(m0209,x) +--E 50 + +--S 51 of 514 +t0210:= 1/log(c*(a+b*x)^n) +--R +--R +--R 1 +--R (30) ----------------- +--R n +--R log(c (b x + a) ) +--R Type: Expression Integer +--E 51 + +--S 52 of 514 +r0210:= (a+b*x)*Ei(log(c*(a+b*x)^n)/n)/b/n/((c*(a+b*x)^n)^(1/n)) +--R +--R +--R n +--R log(c (b x + a) ) +--R (b x + a)Ei(-----------------) +--R n +--R (31) ------------------------------ +--R 1 +--R - +--R n n +--R b n (c (b x + a) ) +--R Type: Expression Integer +--E 52 + +--S 53 of 514 +a0210:= integrate(t0210,x) +--R +--R +--R x +--R ++ 1 +--R (32) | ------------------ d%I +--R ++ n +--R log(c (%I b + a) ) +--R Type: Union(Expression Integer,...) +--E 53 + +--S 54 of 514 +--m0210:= a0210-r0210 +--E 54 + +--S 55 of 514 +--d0210:= D(m0210,x) +--E 55 + +--S 56 of 514 +t0211:= x^3/log(c*(a+b*x)^n)^2 +--R +--R +--R 3 +--R x +--R (33) ------------------ +--R n 2 +--R log(c (b x + a) ) +--R Type: Expression Integer +--E 56 + +--S 57 of 514 +r0211:= -a^3*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^4/n^2+_ + 6*a^2*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/_ + b^4/n^2-9*a*(a+b*x)^3*Ei(3*log(c*(a+b*x)^n)/n)/_ + ((c*(a+b*x)^n)^(3/n))/b^4/n^2+4*(a+b*x)^4*Ei(4*log(c*(a+b*x)^n)/n)/_ + ((c*(a+b*x)^n)^(4/n))/b^4/n^2+a^3*(a+b*x)/b^4/n/log(c*(a+b*x)^n)-_ + 3*a^2*(a+b*x)^2/b^4/n/log(c*(a+b*x)^n)+3*a*(a+b*x)^3/b^4/n/_ + log(c*(a+b*x)^n)-(a+b*x)^4/b^4/n/log(c*(a+b*x)^n) +--R +--R +--R (34) +--R 4 4 3 3 2 2 2 3 4 n +--R (4b x + 16a b x + 24a b x + 16a b x + 4a )log(c (b x + a) ) +--R * +--R 1 2 3 +--R - - - n +--R n n n n n n 4log(c (b x + a) ) +--R (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) Ei(------------------) +--R n +--R + +--R 1 +--R - +--R 3 3 2 2 2 3 4 n n n +--R (- 9a b x - 27a b x - 27a b x - 9a )log(c (b x + a) )(c (b x + a) ) +--R * +--R 2 4 +--R - - n +--R n n n n 3log(c (b x + a) ) +--R (c (b x + a) ) (c (b x + a) ) Ei(------------------) +--R n +--R + +--R 1 +--R - +--R 2 2 2 3 4 n n n +--R (6a b x + 12a b x + 6a )log(c (b x + a) )(c (b x + a) ) +--R * +--R 3 4 +--R - - n +--R n n n n 2log(c (b x + a) ) +--R (c (b x + a) ) (c (b x + a) ) Ei(------------------) +--R n +--R + +--R 2 3 +--R - - +--R 3 4 n n n n n +--R (- a b x - a )log(c (b x + a) )(c (b x + a) ) (c (b x + a) ) +--R * +--R 4 +--R - n +--R n n log(c (b x + a) ) +--R (c (b x + a) ) Ei(-----------------) +--R n +--R + +--R 1 2 3 +--R - - - +--R 4 4 3 3 n n n n n n +--R (- b n x - a b n x )(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R * +--R 4 +--R - +--R n n +--R (c (b x + a) ) +--R / +--R 1 2 3 +--R - - - +--R 4 2 n n n n n n n +--R b n log(c (b x + a) )(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R * +--R 4 +--R - +--R n n +--R (c (b x + a) ) +--R Type: Expression Integer +--E 57 + +--S 58 of 514 +a0211:= integrate(t0211,x) +--R +--R +--R x 3 +--R ++ %I +--R (35) | ------------------- d%I +--R ++ n 2 +--R log(c (%I b + a) ) +--R Type: Union(Expression Integer,...) +--E 58 + +--S 59 of 514 +--m0211:= a0211-r0211 +--E 59 + +--S 60 of 514 +--d0211:= D(m0211,x) +--E 60 + +--S 61 of 514 +t0212:= x^2/log(c*(a+b*x)^n)^2 +--R +--R +--R 2 +--R x +--R (36) ------------------ +--R n 2 +--R log(c (b x + a) ) +--R Type: Expression Integer +--E 61 + +--S 62 of 514 +r0212:= a^2*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^3/n^2-_ + 4*a*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^3/n^2+_ + 3*(a+b*x)^3*Ei(3*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(3/n))/b^3/n^2-_ + a^2*(a+b*x)/b^3/n/log(c*(a+b*x)^n)+2*a*(a+b*x)^2/b^3/n/_ + log(c*(a+b*x)^n)-(a+b*x)^3/b^3/n/log(c*(a+b*x)^n) +--R +--R +--R (37) +--R 1 +--R - +--R 3 3 2 2 2 3 n n n +--R (3b x + 9a b x + 9a b x + 3a )log(c (b x + a) )(c (b x + a) ) +--R * +--R 2 +--R - n +--R n n 3log(c (b x + a) ) +--R (c (b x + a) ) Ei(------------------) +--R n +--R + +--R 1 +--R - +--R 2 2 2 3 n n n +--R (- 4a b x - 8a b x - 4a )log(c (b x + a) )(c (b x + a) ) +--R * +--R 3 +--R - n +--R n n 2log(c (b x + a) ) +--R (c (b x + a) ) Ei(------------------) +--R n +--R + +--R 2 3 +--R - - +--R 2 3 n n n n n +--R (a b x + a )log(c (b x + a) )(c (b x + a) ) (c (b x + a) ) +--R * +--R n +--R log(c (b x + a) ) +--R Ei(-----------------) +--R n +--R + +--R 1 2 3 +--R - - - +--R 3 3 2 2 n n n n n n +--R (- b n x - a b n x )(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R / +--R 1 2 3 +--R - - - +--R 3 2 n n n n n n n +--R b n log(c (b x + a) )(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R Type: Expression Integer +--E 62 + +--S 63 of 514 +a0212:= integrate(t0212,x) +--R +--R +--R x 2 +--R ++ %I +--R (38) | ------------------- d%I +--R ++ n 2 +--R log(c (%I b + a) ) +--R Type: Union(Expression Integer,...) +--E 63 + +--S 64 of 514 +--m0212:= a0212-r0212 +--E 64 + +--S 65 of 514 +--d0212:= D(m0212,x) +--E 65 + +--S 66 of 514 +t0213:= x/log(c*(a+b*x)^n)^2 +--R +--R +--R x +--R (39) ------------------ +--R n 2 +--R log(c (b x + a) ) +--R Type: Expression Integer +--E 66 + +--S 67 of 514 +r0213:= -a*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^2/n^2+_ + 2*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^2/n^2+_ + a*(a+b*x)/b^2/n/log(c*(a+b*x)^n)-(a+b*x)^2/b^2/n/log(c*(a+b*x)^n) +--R +--R +--R (40) +--R 1 +--R - +--R 2 2 2 n n n +--R (2b x + 4a b x + 2a )log(c (b x + a) )(c (b x + a) ) +--R * +--R n +--R 2log(c (b x + a) ) +--R Ei(------------------) +--R n +--R + +--R 2 +--R - n +--R 2 n n n log(c (b x + a) ) +--R (- a b x - a )log(c (b x + a) )(c (b x + a) ) Ei(-----------------) +--R n +--R + +--R 1 2 +--R - - +--R 2 2 n n n n +--R (- b n x - a b n x)(c (b x + a) ) (c (b x + a) ) +--R / +--R 1 2 +--R - - +--R 2 2 n n n n n +--R b n log(c (b x + a) )(c (b x + a) ) (c (b x + a) ) +--R Type: Expression Integer +--E 67 + +--S 68 of 514 +a0213:= integrate(t0213,x) +--R +--R +--R x +--R ++ %I +--R (41) | ------------------- d%I +--R ++ n 2 +--R log(c (%I b + a) ) +--R Type: Union(Expression Integer,...) +--E 68 + +--S 69 of 514 +--m0213:= a0213-r0213 +--E 69 + +--S 70 of 514 +--d0213:= D(m0213,x) +--E 70 + +--S 71 of 514 +t0214:= 1/log(c*(a+b*x)^n)^2 +--R +--R +--R 1 +--R (42) ------------------ +--R n 2 +--R log(c (b x + a) ) +--R Type: Expression Integer +--E 71 + +--S 72 of 514 +r0214:= (a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b/n^2-_ + (a+b*x)/b/n/log(c*(a+b*x)^n) +--R +--R +--R (43) +--R n +--R n log(c (b x + a) ) +--R (b x + a)log(c (b x + a) )Ei(-----------------) +--R n +--R + +--R 1 +--R - +--R n n +--R (- b n x - a n)(c (b x + a) ) +--R / +--R 1 +--R - +--R 2 n n n +--R b n log(c (b x + a) )(c (b x + a) ) +--R Type: Expression Integer +--E 72 + +--S 73 of 514 +a0214:= integrate(t0214,x) +--R +--R +--R x +--R ++ 1 +--R (44) | ------------------- d%I +--R ++ n 2 +--R log(c (%I b + a) ) +--R Type: Union(Expression Integer,...) +--E 73 + +--S 74 of 514 +--m0214:= a0214-r0214 +--E 74 + +--S 75 of 514 +--d0214:= D(m0214,x) +--E 75 + +--S 76 of 514 +t0215:= x^3/log(c*(a+b*x)^n)^3 +--R +--R +--R 3 +--R x +--R (45) ------------------ +--R n 3 +--R log(c (b x + a) ) +--R Type: Expression Integer +--E 76 + +--S 77 of 514 +r0215:= -1/2*a^3*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/_ + b^4/n^3+6*a^2*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/_ + ((c*(a+b*x)^n)^(2/n))/b^4/n^3-27/2*a*(a+b*x)^3*_ + Ei(3*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(3/n))/b^4/n^3+8*(a+b*x)^4*_ + Ei(4*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(4/n))/b^4/n^3-_ + 1/2*x^3*(a+b*x)/b/n/log(c*(a+b*x)^n)^2-_ + 1/2*x^2*(a+b*x)*(3*a+4*b*x)/b^2/n^2/log(c*(a+b*x)^n) +--R +--R +--R (46) +--R 4 4 3 3 2 2 2 3 4 n 2 +--R (16b x + 64a b x + 96a b x + 64a b x + 16a )log(c (b x + a) ) +--R * +--R 1 2 3 +--R - - - n +--R n n n n n n 4log(c (b x + a) ) +--R (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) Ei(------------------) +--R n +--R + +--R 3 3 2 2 2 3 4 n 2 +--R (- 27a b x - 81a b x - 81a b x - 27a )log(c (b x + a) ) +--R * +--R 1 2 4 +--R - - - n +--R n n n n n n 3log(c (b x + a) ) +--R (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) Ei(------------------) +--R n +--R + +--R 1 +--R - +--R 2 2 2 3 4 n 2 n n +--R (12a b x + 24a b x + 12a )log(c (b x + a) ) (c (b x + a) ) +--R * +--R 3 4 +--R - - n +--R n n n n 2log(c (b x + a) ) +--R (c (b x + a) ) (c (b x + a) ) Ei(------------------) +--R n +--R + +--R 2 3 +--R - - +--R 3 4 n 2 n n n n +--R (- a b x - a )log(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R * +--R 4 +--R - n +--R n n log(c (b x + a) ) +--R (c (b x + a) ) Ei(-----------------) +--R n +--R + +--R 4 4 3 3 2 2 2 n 4 2 4 +--R (- 4b n x - 7a b n x - 3a b n x )log(c (b x + a) ) - b n x +--R + +--R 3 2 3 +--R - a b n x +--R * +--R 1 2 3 4 +--R - - - - +--R n n n n n n n n +--R (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R / +--R 1 2 3 +--R - - - +--R 4 3 n 2 n n n n n n +--R 2b n log(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R * +--R 4 +--R - +--R n n +--R (c (b x + a) ) +--R Type: Expression Integer +--E 77 + +--S 78 of 514 +a0215:= integrate(t0215,x) +--R +--R +--R x 3 +--R ++ %I +--R (47) | ------------------- d%I +--R ++ n 3 +--R log(c (%I b + a) ) +--R Type: Union(Expression Integer,...) +--E 78 + +--S 79 of 514 +--m0215:= a0215-r0215 +--E 79 + +--S 80 of 514 +--d0215:= D(m0215,x) +--E 80 + +--S 81 of 514 +t0216:= x^2/log(c*(a+b*x)^n)^3 +--R +--R +--R 2 +--R x +--R (48) ------------------ +--R n 3 +--R log(c (b x + a) ) +--R Type: Expression Integer +--E 81 + +--S 82 of 514 +r0216:= 1/2*a^2*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^3/n^3-_ + 4*a*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^3/n^3+_ + 9/2*(a+b*x)^3*Ei(3*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(3/n))/b^3/n^3-_ + 1/2*x^2*(a+b*x)/b/n/log(c*(a+b*x)^n)^2-1/2*x*(a+b*x)*_ + (2*a+3*b*x)/b^2/n^2/log(c*(a+b*x)^n) +--R +--R +--R (49) +--R 1 +--R - +--R 3 3 2 2 2 3 n 2 n n +--R (9b x + 27a b x + 27a b x + 9a )log(c (b x + a) ) (c (b x + a) ) +--R * +--R 2 +--R - n +--R n n 3log(c (b x + a) ) +--R (c (b x + a) ) Ei(------------------) +--R n +--R + +--R 1 +--R - +--R 2 2 2 3 n 2 n n +--R (- 8a b x - 16a b x - 8a )log(c (b x + a) ) (c (b x + a) ) +--R * +--R 3 +--R - n +--R n n 2log(c (b x + a) ) +--R (c (b x + a) ) Ei(------------------) +--R n +--R + +--R 2 3 +--R - - +--R 2 3 n 2 n n n n +--R (a b x + a )log(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R * +--R n +--R log(c (b x + a) ) +--R Ei(-----------------) +--R n +--R + +--R 3 3 2 2 2 n 3 2 3 +--R (- 3b n x - 5a b n x - 2a b n x)log(c (b x + a) ) - b n x +--R + +--R 2 2 2 +--R - a b n x +--R * +--R 1 2 3 +--R - - - +--R n n n n n n +--R (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R / +--R 1 2 3 +--R - - - +--R 3 3 n 2 n n n n n n +--R 2b n log(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R Type: Expression Integer +--E 82 + +--S 83 of 514 +a0216:= integrate(t0216,x) +--R +--R +--R x 2 +--R ++ %I +--R (50) | ------------------- d%I +--R ++ n 3 +--R log(c (%I b + a) ) +--R Type: Union(Expression Integer,...) +--E 83 + +--S 84 of 514 +--m0216:= a0216-r0216 +--E 84 + +--S 85 of 514 +--d0216:= D(m0216,x) +--E 85 + +--S 86 of 514 +t0217:= x/log(c*(a+b*x)^n)^3 +--R +--R +--R x +--R (51) ------------------ +--R n 3 +--R log(c (b x + a) ) +--R Type: Expression Integer +--E 86 + +--S 87 of 514 +r0217:= -1/2*a*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^2/n^3+_ + 2*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^2/n^3-_ + 1/2*x*(a+b*x)/b/n/log(c*(a+b*x)^n)^2-1/2*(a+b*x)*(a+2*b*x)/_ + b^2/n^2/log(c*(a+b*x)^n) +--R +--R +--R (52) +--R 1 +--R - +--R 2 2 2 n 2 n n +--R (4b x + 8a b x + 4a )log(c (b x + a) ) (c (b x + a) ) +--R * +--R n +--R 2log(c (b x + a) ) +--R Ei(------------------) +--R n +--R + +--R 2 +--R - n +--R 2 n 2 n n log(c (b x + a) ) +--R (- a b x - a )log(c (b x + a) ) (c (b x + a) ) Ei(-----------------) +--R n +--R + +--R 2 2 2 n 2 2 2 2 +--R ((- 2b n x - 3a b n x - a n)log(c (b x + a) ) - b n x - a b n x) +--R * +--R 1 2 +--R - - +--R n n n n +--R (c (b x + a) ) (c (b x + a) ) +--R / +--R 1 2 +--R - - +--R 2 3 n 2 n n n n +--R 2b n log(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) +--R Type: Expression Integer +--E 87 + +--S 88 of 514 +a0217:= integrate(t0217,x) +--R +--R +--R x +--R ++ %I +--R (53) | ------------------- d%I +--R ++ n 3 +--R log(c (%I b + a) ) +--R Type: Union(Expression Integer,...) +--E 88 + +--S 89 of 514 +--m0217:= a0217-r0217 +--E 89 + +--S 90 of 514 +--d0217:= D(m0217,x) +--E 90 + +--S 91 of 514 +t0218:= 1/log(c*(a+b*x)^n)^3 +--R +--R +--R 1 +--R (54) ------------------ +--R n 3 +--R log(c (b x + a) ) +--R Type: Expression Integer +--E 91 + +--S 92 of 514 +r0218:= 1/2*(a+b*x)*(Ei(log(c*(a+b*x)^n)/n)*(c*(a+b*x)^n)^(-1/n)*_ + log(c*(a+b*x)^n)^2-n^2-n*log(c*(a+b*x)^n))/n^3/b/log(c*(a+b*x)^n)^2 +--R +--R +--R (55) +--R 1 +--R - - n +--R n 2 n n log(c (b x + a) ) +--R (b x + a)log(c (b x + a) ) (c (b x + a) ) Ei(-----------------) +--R n +--R + +--R n 2 2 +--R (- b n x - a n)log(c (b x + a) ) - b n x - a n +--R / +--R 3 n 2 +--R 2b n log(c (b x + a) ) +--R Type: Expression Integer +--E 92 + +--S 93 of 514 +a0218:= integrate(t0218,x) +--R +--R +--R x +--R ++ 1 +--R (56) | ------------------- d%I +--R ++ n 3 +--R log(c (%I b + a) ) +--R Type: Union(Expression Integer,...) +--E 93 + +--S 94 of 514 +--m0218:= a0218-r0218 +--E 94 + +--S 95 of 514 +--d0218:= D(m0218,x) +--E 95 + +--S 96 of 514 +t0219:= log(c+d*x)/(a+b*x)^3 +--R +--R +--R log(d x + c) +--R (57) ---------------------------- +--R 3 3 2 2 2 3 +--R b x + 3a b x + 3a b x + a +--R Type: Expression Integer +--E 96 + +--S 97 of 514 +r0219:= -1/2*d/b/(b*c-a*d)/(a+b*x)-1/2*d^2*log(a+b*x)/b/(b*c-a*d)^2+_ + 1/2*d^2*log(c+d*x)/b/(b*c-a*d)^2-1/2*log(c+d*x)/b/(a+b*x)^2 +--R +--R +--R (58) +--R 2 2 2 2 2 2 +--R (b d x + 2a b d x + 2a b c d - b c )log(d x + c) +--R + +--R 2 2 2 2 2 2 2 2 2 2 +--R (- b d x - 2a b d x - a d )log(b x + a) + (a b d - b c d)x + a d +--R + +--R - a b c d +--R / +--R 2 3 2 4 5 2 2 3 2 2 2 3 4 2 +--R (2a b d - 4a b c d + 2b c )x + (4a b d - 8a b c d + 4a b c )x +--R + +--R 4 2 3 2 2 3 2 +--R 2a b d - 4a b c d + 2a b c +--R Type: Expression Integer +--E 97 + +--S 98 of 514 +a0219:= integrate(t0219,x) +--R +--R +--R (59) +--R 2 2 2 2 2 2 +--R (b d x + 2a b d x + 2a b c d - b c )log(d x + c) +--R + +--R 2 2 2 2 2 2 2 2 2 2 +--R (- b d x - 2a b d x - a d )log(b x + a) + (a b d - b c d)x + a d +--R + +--R - a b c d +--R / +--R 2 3 2 4 5 2 2 3 2 2 2 3 4 2 +--R (2a b d - 4a b c d + 2b c )x + (4a b d - 8a b c d + 4a b c )x +--R + +--R 4 2 3 2 2 3 2 +--R 2a b d - 4a b c d + 2a b c +--R Type: Union(Expression Integer,...) +--E 98 + +--S 99 of 514 +m0219:= a0219-r0219 +--R +--R +--R (60) 0 +--R Type: Expression Integer +--E 99 + +--S 100 of 514 +d0219:= D(m0219,x) +--R +--R +--R (61) 0 +--R Type: Expression Integer +--E 100 + +--S 101 of 514 +t0220:= log(c+d*x)^2/(a+b*x)^2 +--R +--R +--R 2 +--R log(d x + c) +--R (62) ------------------ +--R 2 2 2 +--R b x + 2a b x + a +--R Type: Expression Integer +--E 101 + +--S 102 of 514 +r0220:= 2*d*log(-d*(a+b*x)/(b*c-a*d))*log(c+d*x)/b/(b*c-a*d)-_ + d*log(c+d*x)^2/b/(b*c-a*d)-log(c+d*x)^2/b/(a+b*x)+_ + 2*d*polylog(2,b*(c+d*x)/(b*c-a*d))/b/(b*c-a*d) +--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 "$" to specify which version of the function you need. +--E 102 + +--S 103 of 514 +a0220:= integrate(t0220,x) +--R +--R +--R x 2 +--R ++ log(%I d + c) +--R (63) | -------------------- d%I +--R ++ 2 2 2 +--R %I b + 2%I a b + a +--R Type: Union(Expression Integer,...) +--E 103 + +--S 104 of 514 +--m0220:= a0220-r0220 +--E 104 + +--S 105 of 514 +--d0220:= D(m0220,x) +--E 105 + +--S 106 of 514 +t0221:= log(c+d*x)^2/(a+b*x)^3 +--R +--R +--R 2 +--R log(d x + c) +--R (64) ---------------------------- +--R 3 3 2 2 2 3 +--R b x + 3a b x + 3a b x + a +--R Type: Expression Integer +--E 106 + +--S 107 of 514 +r0221:= d^2*log(a+b*x)/b/(b*c-a*d)^2-d^2*log(c+d*x)/b/(b*c-a*d)^2-_ + d*log(c+d*x)/b/(b*c-a*d)/(a+b*x)-d^2*log(-d*(a+b*x)/(b*c-a*d))*_ + log(c+d*x)/b/(b*c-a*d)^2+1/2*d^2*log(c+d*x)^2/b/(b*c-a*d)^2-_ + 1/2*log(c+d*x)^2/b/(a+b*x)^2-d^2*polylog(2,b*(c+d*x)/_ + (b*c-a*d))/b/(b*c-a*d)^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 107 + +--S 108 of 514 +a0221:= integrate(t0221,x) +--R +--R +--R x 2 +--R ++ log(%I d + c) +--R (65) | ------------------------------- d%I +--R ++ 3 3 2 2 2 3 +--R %I b + 3%I a b + 3%I a b + a +--R Type: Union(Expression Integer,...) +--E 108 + +--S 109 of 514 +--m0221:= a0221-r0221 +--E 109 + +--S 110 of 514 +--d0221:= D(m0221,x) +--E 110 + +--S 111 of 514 +t0222:= log(c+d*x)^3/(a+b*x)^2 +--R +--R +--R 3 +--R log(d x + c) +--R (66) ------------------ +--R 2 2 2 +--R b x + 2a b x + a +--R Type: Expression Integer +--E 111 + +--S 112 of 514 +r0222:= 3*d*log(-d*(a+b*x)/(b*c-a*d))*log(c+d*x)^2/b/(b*c-a*d)-_ + d*log(c+d*x)^3/b/(b*c-a*d)-log(c+d*x)^3/b/(a+b*x)+_ + 6*d*log(c+d*x)*polylog(2,b*(c+d*x)/(b*c-a*d))/b/(b*c-a*d)-_ + 6*d*polylog(3,b*(c+d*x)/(b*c-a*d))/b/(b*c-a*d) +--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 "$" to specify which version of the function you need. +--E 112 + +--S 113 of 514 +a0222:= integrate(t0222,x) +--R +--R +--R x 3 +--R ++ log(%I d + c) +--R (67) | -------------------- d%I +--R ++ 2 2 2 +--R %I b + 2%I a b + a +--R Type: Union(Expression Integer,...) +--E 113 + +--S 114 of 514 +--m0222:= a0222-r0222 +--E 114 + +--S 115 of 514 +--d0222:= D(m0222,x) +--E 115 + +--S 116 of 514 +t0223:= log(c+d*x)^3/(a+b*x)^3 +--R +--R +--R 3 +--R log(d x + c) +--R (68) ---------------------------- +--R 3 3 2 2 2 3 +--R b x + 3a b x + 3a b x + a +--R Type: Expression Integer +--E 116 + +--S 117 of 514 +r0223:= 3*d^2*log(-d*(a+b*x)/(b*c-a*d))*log(c+d*x)/b/(b*c-a*d)^2-_ + 3/2*d^2*log(c+d*x)^2/b/(b*c-a*d)^2-3/2*d*log(c+d*x)^2/b/_ + (b*c-a*d)/(a+b*x)-3/2*d^2*log(-d*(a+b*x)/(b*c-a*d))*log(c+d*x)^2/_ + b/(b*c-a*d)^2+1/2*d^2*log(c+d*x)^3/b/(b*c-a*d)^2-1/2*log(c+d*x)^3/_ + b/(a+b*x)^2+3*d^2*(1-log(c+d*x))*polylog(2,b*(c+d*x)/(b*c-a*d))/_ + b/(b*c-a*d)^2+3*d^2*polylog(3,b*(c+d*x)/(b*c-a*d))/b/(b*c-a*d)^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 117 + +--S 118 of 514 +a0223:= integrate(t0223,x) +--R +--R +--R x 3 +--R ++ log(%I d + c) +--R (69) | ------------------------------- d%I +--R ++ 3 3 2 2 2 3 +--R %I b + 3%I a b + 3%I a b + a +--R Type: Union(Expression Integer,...) +--E 118 + +--S 119 of 514 +--m0223:= a0223-r0223 +--E 119 + +--S 120 of 514 +--d0223:= D(m0223,x) +--E 120 + +--S 121 of 514 +t0224:= log(c*(a+b*x)^n)/(d+e*x^2) +--R +--R +--R n +--R log(c (b x + a) ) +--R (70) ----------------- +--R 2 +--R e x + d +--R Type: Expression Integer +--E 121 + +--S 122 of 514 +r0224:= -1/2*(log(c*(a+b*x)^n)*log(-b*(-e)^(1/2)*(-d^(1/2)+(-e)^(1/2)*x)/_ + (b*d^(1/2)*(-e)^(1/2)-a*e))-log(c*(a+b*x)^n)*log(b*(-e)^(1/2)*_ + (d^(1/2)+(-e)^(1/2)*x)/(b*d^(1/2)*(-e)^(1/2)+a*e))+_ + n*polylog(2,-e*(a+b*x)/(b*d^(1/2)*(-e)^(1/2)-a*e))-_ + n*polylog(2,e*(a+b*x)/(b*d^(1/2)*(-e)^(1/2)+a*e)))/d^(1/2)/(-e)^(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 "$" to specify which version of the function you need. +--E 122 + +--S 123 of 514 +a0224:= integrate(t0224,x) +--R +--R +--R x n +--R ++ log(c (%I b + a) ) +--R (71) | ------------------ d%I +--R ++ 2 +--R %I e + d +--R Type: Union(Expression Integer,...) +--E 123 + +--S 124 of 514 +--m0224:= a0224-r0224 +--E 124 + +--S 125 of 514 +--d0224:= D(m0224,x) +--E 125 + +--S 126 of 514 +t0225:= log(c*(a+b*x)^n)^2/(d+e*x^2) +--R +--R +--R n 2 +--R log(c (b x + a) ) +--R (72) ------------------ +--R 2 +--R e x + d +--R Type: Expression Integer +--E 126 + +--S 127 of 514 +r0225:= -1/2*(log(c*(a+b*x)^n)^2*log(-b*(-e)^(1/2)*(-d^(1/2)+(-e)^(1/2)*x)/_ + (b*d^(1/2)*(-e)^(1/2)-a*e))-log(c*(a+b*x)^n)^2*log(b*(-e)^(1/2)*_ + (d^(1/2)+(-e)^(1/2)*x)/(b*d^(1/2)*(-e)^(1/2)+a*e))+_ + 2*n*log(c*(a+b*x)^n)*polylog(2,-e*(a+b*x)/(b*d^(1/2)*_ + (-e)^(1/2)-a*e))-2*n*log(c*(a+b*x)^n)*polylog(2,e*(a+b*x)/_ + (b*d^(1/2)*(-e)^(1/2)+a*e))-2*n^2*polylog(3,-e*(a+b*x)/_ + (b*d^(1/2)*(-e)^(1/2)-a*e))+2*n^2*polylog(3,e*(a+b*x)/_ + (b*d^(1/2)*(-e)^(1/2)+a*e)))/d^(1/2)/(-e)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 127 + +--S 128 of 514 +a0225:= integrate(t0225,x) +--R +--R +--R x n 2 +--R ++ log(c (%I b + a) ) +--R (73) | ------------------- d%I +--R ++ 2 +--R %I e + d +--R Type: Union(Expression Integer,...) +--E 128 + +--S 129 of 514 +--m0225:= a0225-r0225 +--E 129 + +--S 130 of 514 +--d0225:= D(m0225,x) +--E 130 + +--S 131 of 514 +t0226:= log(c*(a+b*x)^n)^3/(d+e*x^2) +--R +--R +--R n 3 +--R log(c (b x + a) ) +--R (74) ------------------ +--R 2 +--R e x + d +--R Type: Expression Integer +--E 131 + +--S 132 of 514 +r0226:= -1/2*(log(c*(a+b*x)^n)^3*log(-b*(-e)^(1/2)*_ + (-d^(1/2)+(-e)^(1/2)*x)/(b*d^(1/2)*(-e)^(1/2)-a*e))-_ + log(c*(a+b*x)^n)^3*log(b*(-e)^(1/2)*(d^(1/2)+(-e)^(1/2)*x)/_ + (b*d^(1/2)*(-e)^(1/2)+a*e))+3*n*log(c*(a+b*x)^n)^2*_ + polylog(2,-e*(a+b*x)/(b*d^(1/2)*(-e)^(1/2)-a*e))-_ + 3*n*log(c*(a+b*x)^n)^2*polylog(2,e*(a+b*x)/(b*d^(1/2)*(-e)^(1/2)+_ + a*e))-6*n^2*log(c*(a+b*x)^n)*polylog(3,-e*(a+b*x)/(b*d^(1/2)*_ + (-e)^(1/2)-a*e))+6*n^2*log(c*(a+b*x)^n)*polylog(3,e*(a+b*x)/_ + (b*d^(1/2)*(-e)^(1/2)+a*e))+6*n^3*polylog(4,-e*(a+b*x)/_ + (b*d^(1/2)*(-e)^(1/2)-a*e))-6*n^3*polylog(4,e*(a+b*x)/_ + (b*d^(1/2)*(-e)^(1/2)+a*e)))/d^(1/2)/(-e)^(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 "$" to specify which version of the function you need. +--E 132 + +--S 133 of 514 +a0226:= integrate(t0226,x) +--R +--R +--R x n 3 +--R ++ log(c (%I b + a) ) +--R (75) | ------------------- d%I +--R ++ 2 +--R %I e + d +--R Type: Union(Expression Integer,...) +--E 133 + +--S 134 of 514 +--m0226:= a0226-r0226 +--E 134 + +--S 135 of 514 +--d0226:= D(m0226,x) +--E 135 + +--S 136 of 514 +t0227:= log(c*(a+b*x)^n)/(d*x+e*x^2) +--R +--R +--R n +--R log(c (b x + a) ) +--R (76) ----------------- +--R 2 +--R e x + d x +--R Type: Expression Integer +--E 136 + +--S 137 of 514 +r0227:= -1/d*(-log(-b*x/a)*log(c*(a+b*x)^n)+log(c*(a+b*x)^n)*log(-b*(d+e*x)/(a*e-b*d))+n*polylog(2,e*(a+b*x)/(a*e-b*d))-n*polylog(2,(a+b*x)/a)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 137 + +--S 138 of 514 +a0227:= integrate(t0227,x) +--R +--R +--R x n +--R ++ log(c (%I b + a) ) +--R (77) | ------------------ d%I +--R ++ 2 +--R %I e + %I d +--R Type: Union(Expression Integer,...) +--E 138 + +--S 139 of 514 +--m0227:= a0227-r0227 +--E 139 + +--S 140 of 514 +--d0227:= D(m0227,x) +--E 140 + +--S 141 of 514 +t0228:= log(c*(a+b*x)^n)^2/(d*x+e*x^2) +--R +--R +--R n 2 +--R log(c (b x + a) ) +--R (78) ------------------ +--R 2 +--R e x + d x +--R Type: Expression Integer +--E 141 + +--S 142 of 514 +r0228:= -1/d*(-log(-b*x/a)*log(c*(a+b*x)^n)^2+log(c*(a+b*x)^n)^2*_ + log(-b*(d+e*x)/(a*e-b*d))+2*n*log(c*(a+b*x)^n)*_ + polylog(2,e*(a+b*x)/(a*e-b*d))-2*n*log(c*(a+b*x)^n)*_ + polylog(2,(a+b*x)/a)+2*n^2*polylog(3,(a+b*x)/a)-2*_ + n^2*polylog(3,e*(a+b*x)/(a*e-b*d))) +--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 "$" to specify which version of the function you need. +--E 142 + +--S 143 of 514 +a0228:= integrate(t0228,x) +--R +--R +--R x n 2 +--R ++ log(c (%I b + a) ) +--R (79) | ------------------- d%I +--R ++ 2 +--R %I e + %I d +--R Type: Union(Expression Integer,...) +--E 143 + +--S 144 of 514 +--m0228:= a0228-r0228 +--E 144 + +--S 145 of 514 +--d0228:= D(m0228,x) +--E 145 + +--S 146 of 514 +t0229:= log(c*(a+b*x)^n)^3/(d*x+e*x^2) +--R +--R +--R n 3 +--R log(c (b x + a) ) +--R (80) ------------------ +--R 2 +--R e x + d x +--R Type: Expression Integer +--E 146 + +--S 147 of 514 +r0229:= -1/d*(-log(-b*x/a)*log(c*(a+b*x)^n)^3+log(c*(a+b*x)^n)^3*_ + log(-b*(d+e*x)/(a*e-b*d))+3*n*log(c*(a+b*x)^n)^2*_ + polylog(2,e*(a+b*x)/(a*e-b*d))-3*n*log(c*(a+b*x)^n)^2*_ + polylog(2,(a+b*x)/a)-6*n^2*log(c*(a+b*x)^n)*_ + polylog(3,e*(a+b*x)/(a*e-b*d))+6*n^2*log(c*(a+b*x)^n)*_ + polylog(3,(a+b*x)/a)-6*n^3*polylog(4,(a+b*x)/a)+6*n^3*_ + polylog(4,e*(a+b*x)/(a*e-b*d))) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 147 + +--S 148 of 514 +a0229:= integrate(t0229,x) +--R +--R +--R x n 3 +--R ++ log(c (%I b + a) ) +--R (81) | ------------------- d%I +--R ++ 2 +--R %I e + %I d +--R Type: Union(Expression Integer,...) +--E 148 + +--S 149 of 514 +--m0229:= a0229-r0229 +--E 149 + +--S 150 of 514 +--d0229:= D(m0229,x) +--E 150 + +--S 151 of 514 +t0230:= log(a+b*x)/(c+d*x+e*x^2) +--R +--R +--R log(b x + a) +--R (82) -------------- +--R 2 +--R e x + d x + c +--R Type: Expression Integer +--E 151 + +--S 152 of 514 +r0230:= (log(a+b*x)*log(b*(-d+(d^2-4*c*e)^(1/2)-2*e*x)/_ + (b*(d^2-4*c*e)^(1/2)-b*d+2*a*e))-log(a+b*x)*_ + log(b*(d+(d^2-4*c*e)^(1/2)+2*e*x)/(b*(d^2-4*c*e)^(1/2)+_ + b*d-2*a*e))+polylog(2,2*e*(a+b*x)/(b*(d^2-4*c*e)^(1/2)-_ + b*d+2*a*e))-polylog(2,-2*e*(a+b*x)/(b*(d^2-4*c*e)^(1/2)+_ + b*d-2*a*e)))/(d^2-4*c*e)^(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 "$" to specify which version of the function you need. +--E 152 + +--S 153 of 514 +a0230:= integrate(t0230,x) +--R +--R +--R x +--R ++ log(%I b + a) +--R (83) | --------------- d%I +--R ++ 2 +--R %I e + %I d + c +--R Type: Union(Expression Integer,...) +--E 153 + +--S 154 of 514 +--m0230:= a0230-r0230 +--E 154 + +--S 155 of 514 +--d0230:= D(m0230,x) +--E 155 + +--S 156 of 514 +t0231:= log(c*(a+b*x)^n)/(d+e*x+f*x^2) +--R +--R +--R n +--R log(c (b x + a) ) +--R (84) ----------------- +--R 2 +--R f x + e x + d +--R Type: Expression Integer +--E 156 + +--S 157 of 514 +r0231:= (log(c*(a+b*x)^n)*log(b*(-e+(e^2-4*d*f)^(1/2)-2*f*x)/_ + (-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))-log(c*(a+b*x)^n)*_ + log(b*(e+(e^2-4*d*f)^(1/2)+2*f*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2)))+_ + n*polylog(2,2*f*(a+b*x)/(-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))-_ + n*polylog(2,-2*f*(a+b*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2))))/_ + (e^2-4*d*f)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 157 + +--S 158 of 514 +a0231:= integrate(t0231,x) +--R +--R +--R x n +--R ++ log(c (%I b + a) ) +--R (85) | ------------------ d%I +--R ++ 2 +--R %I f + %I e + d +--R Type: Union(Expression Integer,...) +--E 158 + +--S 159 of 514 +--m0231:= a0231-r0231 +--E 159 + +--S 160 of 514 +--d0231:= D(m0231,x) +--E 160 + +--S 161 of 514 +t0232:= log(c*(a+b*x)^n)^2/(d+e*x+f*x^2) +--R +--R +--R n 2 +--R log(c (b x + a) ) +--R (86) ------------------ +--R 2 +--R f x + e x + d +--R Type: Expression Integer +--E 161 + +--S 162 of 514 +r0232:= (log(c*(a+b*x)^n)^2*log(b*(-e+(e^2-4*d*f)^(1/2)-2*f*x)/_ + (-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))-log(c*(a+b*x)^n)^2*_ + log(b*(e+(e^2-4*d*f)^(1/2)+2*f*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2)))+_ + 2*n*log(c*(a+b*x)^n)*polylog(2,2*f*(a+b*x)/(-b*e+2*a*f+_ + b*(e^2-4*d*f)^(1/2)))-2*n*log(c*(a+b*x)^n)*polylog(2,-2*f*(a+b*x)/_ + (b*e-2*a*f+b*(e^2-4*d*f)^(1/2)))-2*n^2*polylog(3,2*f*(a+b*x)/_ + (-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))+2*n^2*_ + polylog(3,-2*f*(a+b*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2))))/_ + (e^2-4*d*f)^(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 "$" to specify which version of the function you need. +--E 162 + +--S 163 of 514 +a0232:= integrate(t0232,x) +--R +--R +--R x n 2 +--R ++ log(c (%I b + a) ) +--R (87) | ------------------- d%I +--R ++ 2 +--R %I f + %I e + d +--R Type: Union(Expression Integer,...) +--E 163 + +--S 164 of 514 +--m0232:= a0232-r0232 +--E 164 + +--S 165 of 514 +--d0232:= D(m0232,x) +--E 165 + +--S 166 of 514 +t0233:= log(c*(a+b*x)^n)^3/(d+e*x+f*x^2) +--R +--R +--R n 3 +--R log(c (b x + a) ) +--R (88) ------------------ +--R 2 +--R f x + e x + d +--R Type: Expression Integer +--E 166 + +--S 167 of 514 +r0233:= (log(c*(a+b*x)^n)^3*log(b*(-e+(e^2-4*d*f)^(1/2)-2*f*x)/_ + (-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))-log(c*(a+b*x)^n)^3*_ + log(b*(e+(e^2-4*d*f)^(1/2)+2*f*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2)))+_ + 3*n*log(c*(a+b*x)^n)^2*polylog(2,2*f*(a+b*x)/_ + (-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))-3*n*log(c*(a+b*x)^n)^2*_ + polylog(2,-2*f*(a+b*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2)))-_ + 6*n^2*log(c*(a+b*x)^n)*polylog(3,2*f*(a+b*x)/_ + (-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))+6*n^2*log(c*(a+b*x)^n)*_ + polylog(3,-2*f*(a+b*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2)))+_ + 6*n^3*polylog(4,2*f*(a+b*x)/(-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))-_ + 6*n^3*polylog(4,-2*f*(a+b*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2))))/_ + (e^2-4*d*f)^(1/2) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 167 + +--S 168 of 514 +a0233:= integrate(t0233,x) +--R +--R +--R x n 3 +--R ++ log(c (%I b + a) ) +--R (89) | ------------------- d%I +--R ++ 2 +--R %I f + %I e + d +--R Type: Union(Expression Integer,...) +--E 168 + +--S 169 of 514 +--m0233:= a0233-r0233 +--E 169 + +--S 170 of 514 +--d0233:= D(m0233,x) +--E 170 + +--S 171 of 514 +t0234:= log(d*(b*x+c*x^2)^n)^2 +--R +--R +--R 2 n 2 +--R (90) log(d (c x + b x) ) +--R Type: Expression Integer +--E 171 + +--S 172 of 514 +r0234:= -1/c*(-8*n^2*x*c+4*b*n^2*log(b+c*x)+2*b*n^2*log(-c*x/b)*_ + log(b+c*x)+b*n^2*log(b+c*x)^2+4*n*x*log(d*(x*(b+c*x))^n)*c-_ + x*log(d*(x*(b+c*x))^n)^2*c-2*b*n*log(b+c*x)*log(d*(x*(b+c*x))^n)+_ + 2*b*n^2*polylog(2,(b+c*x)/b)) +--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 "$" to specify which version of the function you need. +--E 172 + +--S 173 of 514 +a0234:= integrate(t0234,x) +--R +--R +--R x +--R ++ 2 n 2 +--R (91) | log(d (%I c + %I b) ) d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 173 + +--S 174 of 514 +--m0234:= a0234-r0234 +--E 174 + +--S 175 of 514 +--d0234:= D(m0234,x) +--E 175 + +--S 176 of 514 +t0235:= log(d*(b*x+c*x^2)^n)/x +--R +--R +--R 2 n +--R log(d (c x + b x) ) +--R (92) -------------------- +--R x +--R Type: Expression Integer +--E 176 + +--S 177 of 514 +r0235:= -1/2*n*log(x)^2-n*log(x)*log((b+c*x)/b)+log(x)*_ + log(d*(x*(b+c*x))^n)-n*polylog(2,-c*x/b) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Fraction Polynomial Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 177 + +--S 178 of 514 +a0235:= integrate(t0235,x) +--R +--R +--R x 2 n +--R ++ log(d (%I c + %I b) ) +--R (93) | --------------------- d%I +--R ++ %I +--R Type: Union(Expression Integer,...) +--E 178 + +--S 179 of 514 +--m0235:= a0235-r0235 +--E 179 + +--S 180 of 514 +--d0235:= D(m0235,x) +--E 180 + +--S 181 of 514 +t0236:= log(d*(a+b*x+c*x^2)^n) +--R +--R +--R 2 n +--R (94) log(d (c x + b x + a) ) +--R Type: Expression Integer +--E 181 + +--S 182 of 514 +r0236:= -2*n*x+(b^2-4*a*c)^(1/2)*n*atanh((b+2*c*x)/(b^2-4*a*c)^(1/2))/c+_ + 1/2*b*n*log(a+b*x+c*x^2)/c+x*log(d*(a+b*x+c*x^2)^n) +--R +--R +--R (95) +--R +-----------+ +--R 2 n | 2 2c x + b +--R 2c x log(d (c x + b x + a) ) + 2n\|- 4a c + b atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R + +--R 2 +--R b n log(c x + b x + a) - 4c n x +--R / +--R 2c +--R Type: Expression Integer +--E 182 + +--S 183 of 514 +a0236:= integrate(t0236,x) +--R +--R +--R (96) +--R [ +--R +-----------+ +--R | 2 +--R n\|- 4a c + b +--R * +--R +-----------+ +--R | 2 2 2 2 +--R (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R log(-----------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R 2 +--R (2c n x + b n)log(c x + b x + a) + 2c x log(d) - 4c n x +--R / +--R 2c +--R , +--R +--R +---------+ +--R +---------+ | 2 +--R | 2 \|4a c - b 2 +--R - 2n\|4a c - b atan(------------) + (2c n x + b n)log(c x + b x + a) +--R 2c x + b +--R + +--R 2c x log(d) - 4c n x +--R / +--R 2c +--R ] +--R Type: Union(List Expression Integer,...) +--E 183 + +--S 184 of 514 +m0236a:= a0236.1-r0236 +--R +--R +--R (97) +--R +-----------+ +--R +-----------+ | 2 2 2 2 +--R | 2 (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R n\|- 4a c + b log(-----------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R +-----------+ +--R 2 n | 2 2c x + b +--R - 2c x log(d (c x + b x + a) ) - 2n\|- 4a c + b atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R + +--R 2 +--R 2c n x log(c x + b x + a) + 2c x log(d) +--R / +--R 2c +--R Type: Expression Integer +--E 184 + +--S 185 of 514 +d0236a:= D(m0236a,x) +--R +--R +--R (98) +--R 2 2 n 2 n +--R (- c x - b x - a)(c x + b x + a) log(d (c x + b x + a) ) +--R + +--R 2 2 2 +--R (c n x + b n x + a n)log(c x + b x + a) + (c x + b x + a)log(d) +--R + +--R 2 +--R 2c n x + b n x +--R * +--R 2 n +--R (c x + b x + a) +--R + +--R 2 4 3 2 2 2 n - 1 +--R (- 2c n x - 3b c n x + (- 2a c - b )n x - a b n x)(c x + b x + a) +--R / +--R 2 2 n +--R (c x + b x + a)(c x + b x + a) +--R Type: Expression Integer +--E 185 + +--S 186 of 514 +m0236b:= a0236.2-r0236 +--R +--R +--R (99) +--R +-----------+ +--R 2 n | 2 2c x + b +--R - c x log(d (c x + b x + a) ) - n\|- 4a c + b atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R + +--R +---------+ +--R +---------+ | 2 +--R | 2 \|4a c - b 2 +--R - n\|4a c - b atan(------------) + c n x log(c x + b x + a) + c x log(d) +--R 2c x + b +--R / +--R c +--R Type: Expression Integer +--E 186 + +--S 187 of 514 +d0236b:= D(m0236b,x) +--R +--R +--R (100) +--R 2 2 n 2 n +--R (- c x - b x - a)(c x + b x + a) log(d (c x + b x + a) ) +--R + +--R 2 2 2 +--R (c n x + b n x + a n)log(c x + b x + a) + (c x + b x + a)log(d) +--R + +--R 2 +--R 2c n x + b n x +--R * +--R 2 n +--R (c x + b x + a) +--R + +--R 2 4 3 2 2 2 n - 1 +--R (- 2c n x - 3b c n x + (- 2a c - b )n x - a b n x)(c x + b x + a) +--R / +--R 2 2 n +--R (c x + b x + a)(c x + b x + a) +--R Type: Expression Integer +--E 187 + +--S 188 of 514 +t0237:= log(d*(a+b*x+c*x^2)^n)/x +--R +--R +--R 2 n +--R log(d (c x + b x + a) ) +--R (101) ------------------------ +--R x +--R Type: Expression Integer +--E 188 + +--S 189 of 514 +r0237:= -n*log(x)*log((-b+(b^2-4*a*c)^(1/2)-2*c*x)/(-b+(b^2-4*a*c)^(1/2)))-_ + n*log(x)*log((b+(b^2-4*a*c)^(1/2)+2*c*x)/(b+(b^2-4*a*c)^(1/2)))+_ + log(x)*log(d*(a+b*x+c*x^2)^n)-_ + n*polylog(2,2*c*x/(-b+(b^2-4*a*c)^(1/2)))-_ + n*polylog(2,-2*c*x/(b+(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 189 + +--S 190 of 514 +a0237:= integrate(t0237,x) +--R +--R +--R x 2 n +--R ++ log(d (%I c + %I b + a) ) +--R (102) | ------------------------- d%I +--R ++ %I +--R Type: Union(Expression Integer,...) +--E 190 + +--S 191 of 514 +--m0237:= a0237-r0237 +--E 191 + +--S 192 of 514 +--d0237:= D(m0237,x) +--E 192 + +--S 193 of 514 +t0238:= log(a+b*x+c*x^2) +--R +--R +--R 2 +--R (103) log(c x + b x + a) +--R Type: Expression Integer +--E 193 + +--S 194 of 514 +r0238:= -2*x+(b^2-4*a*c)^(1/2)*atanh((b+2*c*x)/(b^2-4*a*c)^(1/2))/c+_ + 1/2*b*log(a+b*x+c*x^2)/c+x*log(a+b*x+c*x^2) +--R +--R +--R (104) +--R +-----------+ +--R | 2 2c x + b 2 +--R 2\|- 4a c + b atanh(--------------) + (2c x + b)log(c x + b x + a) - 4c x +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R --------------------------------------------------------------------------- +--R 2c +--R Type: Expression Integer +--E 194 + +--S 195 of 514 +a0238:= integrate(t0238,x) +--R +--R +--R (105) +--R [ +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R * +--R +-----------+ +--R | 2 2 2 2 +--R (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R log(-----------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R 2 +--R (2c x + b)log(c x + b x + a) - 4c x +--R / +--R 2c +--R , +--R +---------+ +--R +---------+ | 2 +--R | 2 \|4a c - b 2 +--R - 2\|4a c - b atan(------------) + (2c x + b)log(c x + b x + a) - 4c x +--R 2c x + b +--R ------------------------------------------------------------------------] +--R 2c +--R Type: Union(List Expression Integer,...) +--E 195 + +--S 196 of 514 +m0238a:= a0238.1-r0238 +--R +--R +--R (106) +--R +-----------+ +--R +-----------+ | 2 2 2 2 +--R | 2 (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R \|- 4a c + b log(-----------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R +-----------+ +--R | 2 2c x + b +--R - 2\|- 4a c + b atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R / +--R 2c +--R Type: Expression Integer +--E 196 + +--S 197 of 514 +d0238a:= D(m0238a,x) +--R +--R +--R (107) 0 +--R Type: Expression Integer +--E 197 + +--S 198 of 514 +m0238b:= a0238.2-r0238 +--R +--R +--R (108) +--R +---------+ +--R +-----------+ +---------+ | 2 +--R | 2 2c x + b | 2 \|4a c - b +--R - \|- 4a c + b atanh(--------------) - \|4a c - b atan(------------) +--R +-----------+ 2c x + b +--R | 2 +--R \|- 4a c + b +--R ---------------------------------------------------------------------- +--R c +--R Type: Expression Integer +--E 198 + +--S 199 of 514 +d0238b:= D(m0238b,x) +--R +--R +--R (109) 0 +--R Type: Expression Integer +--E 199 + +--S 200 of 514 +t0239:= x*log(a+b*x+c*x^2) +--R +--R +--R 2 +--R (110) x log(c x + b x + a) +--R Type: Expression Integer +--E 200 + +--S 201 of 514 +r0239:= 1/2*b*x/c-1/2*x^2-1/2*b*(b^2-4*a*c)^(1/2)*_ + atanh((b+2*c*x)/(b^2-4*a*c)^(1/2))/c^2-1/4*(b^2-2*a*c)*_ + log(a+b*x+c*x^2)/c^2+1/2*x^2*log(a+b*x+c*x^2) +--R +--R +--R (111) +--R +-----------+ +--R | 2 2c x + b +--R - 2b\|- 4a c + b atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R + +--R 2 2 2 2 2 2 +--R (2c x + 2a c - b )log(c x + b x + a) - 2c x + 2b c x +--R / +--R 2 +--R 4c +--R Type: Expression Integer +--E 201 + +--S 202 of 514 +a0239:= integrate(t0239,x) +--R +--R +--R (112) +--R [ +--R +-----------+ +--R | 2 +--R b\|- 4a c + b +--R * +--R +-----------+ +--R | 2 2 2 2 +--R (- 2c x - b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R log(-------------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R 2 2 2 2 2 2 +--R (2c x + 2a c - b )log(c x + b x + a) - 2c x + 2b c x +--R / +--R 2 +--R 4c +--R , +--R +--R +---------+ +--R +---------+ | 2 +--R | 2 \|4a c - b +--R 2b\|4a c - b atan(------------) +--R 2c x + b +--R + +--R 2 2 2 2 2 2 +--R (2c x + 2a c - b )log(c x + b x + a) - 2c x + 2b c x +--R / +--R 2 +--R 4c +--R ] +--R Type: Union(List Expression Integer,...) +--E 202 + +--S 203 of 514 +m0239a:= a0239.1-r0239 +--R +--R +--R (113) +--R +-----------+ +--R | 2 +--R b\|- 4a c + b +--R * +--R +-----------+ +--R | 2 2 2 2 +--R (- 2c x - b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R log(-------------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R +-----------+ +--R | 2 2c x + b +--R 2b\|- 4a c + b atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R / +--R 2 +--R 4c +--R Type: Expression Integer +--E 203 + +--S 204 of 514 +d0239a:= D(m0239a,x) +--R +--R +--R (114) 0 +--R Type: Expression Integer +--E 204 + +--S 205 of 514 +m0239b:= a0239.2-r0239 +--R +--R +--R (115) +--R +---------+ +--R +-----------+ +---------+ | 2 +--R | 2 2c x + b | 2 \|4a c - b +--R b\|- 4a c + b atanh(--------------) + b\|4a c - b atan(------------) +--R +-----------+ 2c x + b +--R | 2 +--R \|- 4a c + b +--R ---------------------------------------------------------------------- +--R 2 +--R 2c +--R Type: Expression Integer +--E 205 + +--S 206 of 514 +d0239b:= D(m0239b,x) +--R +--R +--R (116) 0 +--R Type: Expression Integer +--E 206 + +--S 207 of 514 +t0240:= x^2*log(a+b*x+c*x^2) +--R +--R +--R 2 2 +--R (117) x log(c x + b x + a) +--R Type: Expression Integer +--E 207 + +--S 208 of 514 +r0240:= -1/3*(b^2-2*a*c)*x/c^2+1/6*b*x^2/c-2/9*x^3+_ + 1/3*(b^4-a*c*(5*b^2-4*a*c))*atanh((b+2*c*x)/(b^2-4*a*c)^(1/2))/_ + c^3/(b^2-4*a*c)^(1/2)+1/6*b*(b^2-3*a*c)*log(a+b*x+c*x^2)/c^3+_ + 1/3*x^3*log(a+b*x+c*x^2) +--R +--R +--R (118) +--R 2 2 2 4 2c x + b +--R (24a c - 30a b c + 6b )atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R + +--R 3 3 3 2 3 3 2 2 +--R (6c x - 9a b c + 3b )log(c x + b x + a) - 4c x + 3b c x +--R + +--R 2 2 +--R (12a c - 6b c)x +--R * +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R / +--R +-----------+ +--R 3 | 2 +--R 18c \|- 4a c + b +--R Type: Expression Integer +--E 208 + +--S 209 of 514 +a0240:= integrate(t0240,x) +--R +--R +--R (119) +--R [ +--R +-----------+ +--R 2 | 2 +--R (3a c - 3b )\|- 4a c + b +--R * +--R +-----------+ +--R | 2 2 2 2 +--R (- 2c x - b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R log(-------------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R 3 3 3 2 3 3 2 2 +--R (6c x - 9a b c + 3b )log(c x + b x + a) - 4c x + 3b c x +--R + +--R 2 2 +--R (12a c - 6b c)x +--R / +--R 3 +--R 18c +--R , +--R +--R +---------+ +--R +---------+ | 2 +--R 2 | 2 \|4a c - b +--R (6a c - 6b )\|4a c - b atan(------------) +--R 2c x + b +--R + +--R 3 3 3 2 3 3 2 2 +--R (6c x - 9a b c + 3b )log(c x + b x + a) - 4c x + 3b c x +--R + +--R 2 2 +--R (12a c - 6b c)x +--R / +--R 3 +--R 18c +--R ] +--R Type: Union(List Expression Integer,...) +--E 209 + +--S 210 of 514 +m0240a:= a0240.1-r0240 +--R +--R +--R (120) +--R 2 2 2 4 +--R (- 4a c + 5a b c - b ) +--R * +--R +-----------+ +--R | 2 2 2 2 +--R (- 2c x - b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R log(-------------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R 2 2 2 4 2c x + b +--R (- 8a c + 10a b c - 2b )atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R / +--R +-----------+ +--R 3 | 2 +--R 6c \|- 4a c + b +--R Type: Expression Integer +--E 210 + +--S 211 of 514 +d0240a:= D(m0240a,x) +--R +--R +--R (121) 0 +--R Type: Expression Integer +--E 211 + +--S 212 of 514 +m0240b:= a0240.2-r0240 +--R +--R +--R (122) +--R 2 2 2 4 2c x + b +--R (- 4a c + 5a b c - b )atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R + +--R +---------+ +--R +-----------+ +---------+ | 2 +--R 2 | 2 | 2 \|4a c - b +--R (a c - b )\|- 4a c + b \|4a c - b atan(------------) +--R 2c x + b +--R / +--R +-----------+ +--R 3 | 2 +--R 3c \|- 4a c + b +--R Type: Expression Integer +--E 212 + +--S 213 of 514 +d0240b:= D(m0240b,x) +--R +--R +--R (123) 0 +--R Type: Expression Integer +--E 213 + +--S 214 of 514 +t0241:= x^3*log(a+b*x+c*x^2) +--R +--R +--R 3 2 +--R (124) x log(c x + b x + a) +--R Type: Expression Integer +--E 214 + +--S 215 of 514 +r0241:= 1/4*b*(b^2-3*a*c)*x/c^3-1/8*(b^2-2*a*c)*x^2/c^2+1/12*b*x^3/c-_ + 1/8*x^4-1/4*b*(b^4-2*a*c*(3*b^2-4*a*c))*atanh((b+2*c*x)/_ + (b^2-4*a*c)^(1/2))/c^4/(b^2-4*a*c)^(1/2)-_ + 1/8*(b^4-4*b^2*a*c+2*a^2*c^2)*log(a+b*x+c*x^2)/c^4+_ + 1/4*x^4*log(a+b*x+c*x^2) +--R +--R +--R (125) +--R 2 2 3 5 2c x + b +--R (- 48a b c + 36a b c - 6b )atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R + +--R 4 4 2 2 2 4 2 4 4 3 3 +--R (6c x - 6a c + 12a b c - 3b )log(c x + b x + a) - 3c x + 2b c x +--R + +--R 3 2 2 2 2 3 +--R (6a c - 3b c )x + (- 18a b c + 6b c)x +--R * +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R / +--R +-----------+ +--R 4 | 2 +--R 24c \|- 4a c + b +--R Type: Expression Integer +--E 215 + +--S 216 of 514 +a0241:= integrate(t0241,x) +--R +--R +--R (126) +--R [ +--R +-----------+ +--R 3 | 2 +--R (6a b c - 3b )\|- 4a c + b +--R * +--R +-----------+ +--R | 2 2 2 2 +--R (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R log(-----------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R 4 4 2 2 2 4 2 4 4 3 3 +--R (6c x - 6a c + 12a b c - 3b )log(c x + b x + a) - 3c x + 2b c x +--R + +--R 3 2 2 2 2 3 +--R (6a c - 3b c )x + (- 18a b c + 6b c)x +--R / +--R 4 +--R 24c +--R , +--R +--R +---------+ +--R +---------+ | 2 +--R 3 | 2 \|4a c - b +--R (- 12a b c + 6b )\|4a c - b atan(------------) +--R 2c x + b +--R + +--R 4 4 2 2 2 4 2 4 4 3 3 +--R (6c x - 6a c + 12a b c - 3b )log(c x + b x + a) - 3c x + 2b c x +--R + +--R 3 2 2 2 2 3 +--R (6a c - 3b c )x + (- 18a b c + 6b c)x +--R / +--R 4 +--R 24c +--R ] +--R Type: Union(List Expression Integer,...) +--E 216 + +--S 217 of 514 +m0241a:= a0241.1-r0241 +--R +--R +--R (127) +--R 2 2 3 5 +--R (- 8a b c + 6a b c - b ) +--R * +--R +-----------+ +--R | 2 2 2 2 +--R (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R log(-----------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R 2 2 3 5 2c x + b +--R (16a b c - 12a b c + 2b )atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R / +--R +-----------+ +--R 4 | 2 +--R 8c \|- 4a c + b +--R Type: Expression Integer +--E 217 + +--S 218 of 514 +d0241a:= D(m0241a,x) +--R +--R +--R (128) 0 +--R Type: Expression Integer +--E 218 + +--S 219 of 514 +m0241b:= a0241.2-r0241 +--R +--R +--R (129) +--R 2 2 3 5 2c x + b +--R (8a b c - 6a b c + b )atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R + +--R +---------+ +--R +-----------+ +---------+ | 2 +--R 3 | 2 | 2 \|4a c - b +--R (- 2a b c + b )\|- 4a c + b \|4a c - b atan(------------) +--R 2c x + b +--R / +--R +-----------+ +--R 4 | 2 +--R 4c \|- 4a c + b +--R Type: Expression Integer +--E 219 + +--S 220 of 514 +d0241b:= D(m0241b,x) +--R +--R +--R (130) 0 +--R Type: Expression Integer +--E 220 + +--S 221 of 514 +t0242:= log(a+b*x+c*x^2)/x +--R +--R +--R 2 +--R log(c x + b x + a) +--R (131) ------------------- +--R x +--R Type: Expression Integer +--E 221 + +--S 222 of 514 +r0242:= -log(x)*(log(1+2*c*x/(b-(b^2-4*a*c)^(1/2)))+_ + log(1+2*c*x/(b+(b^2-4*a*c)^(1/2)))-log(a+b*x+c*x^2))-_ + polylog(2,-2*c*x/(b-(b^2-4*a*c)^(1/2)))-_ + polylog(2,-2*c*x/(b+(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 222 + +--S 223 of 514 +a0242:= integrate(t0242,x) +--R +--R +--R x 2 +--R ++ log(%I c + %I b + a) +--R (132) | -------------------- d%I +--R ++ %I +--R Type: Union(Expression Integer,...) +--E 223 + +--S 224 of 514 +--m0242:= a0242-r0242 +--E 224 + +--S 225 of 514 +--d0242:= D(m0242,x) +--E 225 + +--S 226 of 514 +t0243:= log(a+b*x+c*x^2)/x^2 +--R +--R +--R 2 +--R log(c x + b x + a) +--R (133) ------------------- +--R 2 +--R x +--R Type: Expression Integer +--E 226 + +--S 227 of 514 +r0243:= (b^2-4*a*c)^(1/2)*atanh((b+2*c*x)/(b^2-4*a*c)^(1/2))/a+_ + b*log(x)/a-1/2*b*log(a+b*x+c*x^2)/a-log(a+b*x+c*x^2)/x +--R +--R +--R (134) +--R +-----------+ +--R | 2 2c x + b 2 +--R 2x\|- 4a c + b atanh(--------------) + (- b x - 2a)log(c x + b x + a) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R + +--R 2b x log(x) +--R / +--R 2a x +--R Type: Expression Integer +--E 227 + +--S 228 of 514 +a0243:= integrate(t0243,x) +--R +--R +--R (135) +--R [ +--R +-----------+ +--R | 2 +--R x\|- 4a c + b +--R * +--R +-----------+ +--R | 2 2 2 2 +--R (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R log(-----------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R 2 +--R (- b x - 2a)log(c x + b x + a) + 2b x log(x) +--R / +--R 2a x +--R , +--R +--R +---------+ +--R +---------+ | 2 +--R | 2 \|4a c - b 2 +--R - 2x\|4a c - b atan(------------) + (- b x - 2a)log(c x + b x + a) +--R 2c x + b +--R + +--R 2b x log(x) +--R / +--R 2a x +--R ] +--R Type: Union(List Expression Integer,...) +--E 228 + +--S 229 of 514 +m0243a:= a0243.1-r0243 +--R +--R +--R (136) +--R +-----------+ +--R +-----------+ | 2 2 2 2 +--R | 2 (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R \|- 4a c + b log(-----------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R +-----------+ +--R | 2 2c x + b +--R - 2\|- 4a c + b atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R / +--R 2a +--R Type: Expression Integer +--E 229 + +--S 230 of 514 +d0243a:= D(m0243a,x) +--R +--R +--R (137) 0 +--R Type: Expression Integer +--E 230 + +--S 231 of 514 +m0243b:= a0243.2-r0243 +--R +--R +--R (138) +--R +---------+ +--R +-----------+ +---------+ | 2 +--R | 2 2c x + b | 2 \|4a c - b +--R - \|- 4a c + b atanh(--------------) - \|4a c - b atan(------------) +--R +-----------+ 2c x + b +--R | 2 +--R \|- 4a c + b +--R ---------------------------------------------------------------------- +--R a +--R Type: Expression Integer +--E 231 + +--S 232 of 514 +d0243b:= D(m0243b,x) +--R +--R +--R (139) 0 +--R Type: Expression Integer +--E 232 + +--S 233 of 514 +t0244:= log(a+b*x+c*x^2)/x^3 +--R +--R +--R 2 +--R log(c x + b x + a) +--R (140) ------------------- +--R 3 +--R x +--R Type: Expression Integer +--E 233 + +--S 234 of 514 +r0244:= -1/2*b/a/x-1/2*b*(b^2-4*a*c)^(1/2)*atanh((b+2*c*x)/_ + (b^2-4*a*c)^(1/2))/a^2-1/2*(b^2-2*a*c)*log(x)/a^2+_ + 1/4*(b^2-2*a*c)*log(a+b*x+c*x^2)/a^2-1/2*log(a+b*x+c*x^2)/x^2 +--R +--R +--R (141) +--R +-----------+ +--R 2 | 2 2c x + b +--R - 2b x \|- 4a c + b atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R + +--R 2 2 2 2 2 2 +--R ((- 2a c + b )x - 2a )log(c x + b x + a) + (4a c - 2b )x log(x) - 2a b x +--R / +--R 2 2 +--R 4a x +--R Type: Expression Integer +--E 234 + +--S 235 of 514 +a0244:= integrate(t0244,x) +--R +--R +--R (142) +--R [ +--R +-----------+ +--R 2 | 2 +--R b x \|- 4a c + b +--R * +--R +-----------+ +--R | 2 2 2 2 +--R (- 2c x - b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R log(-------------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R 2 2 2 2 2 2 +--R ((- 2a c + b )x - 2a )log(c x + b x + a) + (4a c - 2b )x log(x) +--R + +--R - 2a b x +--R / +--R 2 2 +--R 4a x +--R , +--R +--R +---------+ +--R +---------+ | 2 +--R 2 | 2 \|4a c - b +--R 2b x \|4a c - b atan(------------) +--R 2c x + b +--R + +--R 2 2 2 2 2 2 +--R ((- 2a c + b )x - 2a )log(c x + b x + a) + (4a c - 2b )x log(x) +--R + +--R - 2a b x +--R / +--R 2 2 +--R 4a x +--R ] +--R Type: Union(List Expression Integer,...) +--E 235 + +--S 236 of 514 +m0244a:= a0244.1-r0244 +--R +--R +--R (143) +--R +-----------+ +--R | 2 +--R b\|- 4a c + b +--R * +--R +-----------+ +--R | 2 2 2 2 +--R (- 2c x - b)\|- 4a c + b + 2c x + 2b c x - 2a c + b +--R log(-------------------------------------------------------) +--R 2 +--R c x + b x + a +--R + +--R +-----------+ +--R | 2 2c x + b +--R 2b\|- 4a c + b atanh(--------------) +--R +-----------+ +--R | 2 +--R \|- 4a c + b +--R / +--R 2 +--R 4a +--R Type: Expression Integer +--E 236 + +--S 237 of 514 +d0244a:= D(m0244a,x) +--R +--R +--R (144) 0 +--R Type: Expression Integer +--E 237 + +--S 238 of 514 +m0244b:= a0244.2-r0244 +--R +--R +--R (145) +--R +---------+ +--R +-----------+ +---------+ | 2 +--R | 2 2c x + b | 2 \|4a c - b +--R b\|- 4a c + b atanh(--------------) + b\|4a c - b atan(------------) +--R +-----------+ 2c x + b +--R | 2 +--R \|- 4a c + b +--R ---------------------------------------------------------------------- +--R 2 +--R 2a +--R Type: Expression Integer +--E 238 + +--S 239 of 514 +d0244b:= D(m0244b,x) +--R +--R +--R (146) 0 +--R Type: Expression Integer +--E 239 + +--S 240 of 514 +t0245:= x*log(1+c*f^(a+b*x)) +--R +--R +--R b x + a +--R (147) x log(c f + 1) +--R Type: Expression Integer +--E 240 + +--S 241 of 514 +r0245:= -1/b^2/log(f)^2*(x*polylog(2,-c*f^(a+b*x))*b*log(f)-_ + polylog(3,-c*f^(a+b*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 Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 241 + +--S 242 of 514 +a0245:= integrate(t0245,x) +--R +--R +--R x +--R ++ %I b + a +--R (148) | %I log(c f + 1)d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 242 + +--S 243 of 514 +--m0245:= a0245-r0245 +--E 243 + +--S 244 of 514 +--d0245:= D(m0245,x) +--E 244 + +--S 245 of 514 +t0246:= x^2*log(1+c*f^(a+b*x)) +--R +--R +--R 2 b x + a +--R (149) x log(c f + 1) +--R Type: Expression Integer +--E 245 + +--S 246 of 514 +r0246:= -1/b^3/log(f)^3*(x^2*polylog(2,-c*f^(a+b*x))*b^2*log(f)^2-_ + 2*x*polylog(3,-c*f^(a+b*x))*b*log(f)+2*polylog(4,-c*f^(a+b*x))) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 246 + +--S 247 of 514 +a0246:= integrate(t0246,x) +--R +--R +--R x +--R ++ 2 %I b + a +--R (150) | %I log(c f + 1)d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 247 + +--S 248 of 514 +--m0246:= a0246-r0246 +--E 248 + +--S 249 of 514 +--d0246:= D(m0246,x) +--E 249 + +--S 250 of 514 +t0247:= x*log(c+d*f^(a+b*x)) +--R +--R +--R b x + a +--R (151) x log(d f + c) +--R Type: Expression Integer +--E 250 + +--S 251 of 514 +r0247:= 1/2*x^2*log(c+d*f^(a+b*x))-1/2*x^2*log(1+d*f^(a+b*x)/c)-_ + x*polylog(2,-d*f^(a+b*x)/c)/b/log(f)+_ + polylog(3,-d*f^(a+b*x)/c)/b^2/log(f)^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 "$" to specify which version of the function you need. +--E 251 + +--S 252 of 514 +a0247:= integrate(t0247,x) +--R +--R +--R x +--R ++ %I b + a +--R (152) | %I log(d f + c)d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 252 + +--S 253 of 514 +--m0247:= a0247-r0247 +--E 253 + +--S 254 of 514 +--d0247:= D(m0247,x) +--E 254 + +--S 255 of 514 +t0248:= x^2*log(c+d*f^(a+b*x)) +--R +--R +--R 2 b x + a +--R (153) x log(d f + c) +--R Type: Expression Integer +--E 255 + +--S 256 of 514 +r0248:= 1/3*x^3*log(c+d*f^(a+b*x))-1/3*x^3*log(1+d*f^(a+b*x)/c)-_ + x^2*polylog(2,-d*f^(a+b*x)/c)/b/log(f)+_ + 2*x*polylog(3,-d*f^(a+b*x)/c)/b^2/log(f)^2-_ + 2*polylog(4,-d*f^(a+b*x)/c)/b^3/log(f)^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 256 + +--S 257 of 514 +a0248:= integrate(t0248,x) +--R +--R +--R x +--R ++ 2 %I b + a +--R (154) | %I log(d f + c)d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 257 + +--S 258 of 514 +--m0248:= a0248-r0248 +--E 258 + +--S 259 of 514 +--d0248:= D(m0248,x) +--E 259 + +--S 260 of 514 +t0249:= exp(x)*log(a+b*exp(x)) +--R +--R +--R x x +--R (155) %e log(b %e + a) +--R Type: Expression Integer +--E 260 + +--S 261 of 514 +r0249:= -exp(x)+(a+b*exp(x))*log(a+b*exp(x))/b +--R +--R +--R x x x +--R (b %e + a)log(b %e + a) - b %e +--R (156) --------------------------------- +--R b +--R Type: Expression Integer +--E 261 + +--S 262 of 514 +a0249:= integrate(t0249,x) +--R +--R +--R x x x +--R (b %e + a)log(b %e + a) - b %e +--R (157) --------------------------------- +--R b +--R Type: Union(Expression Integer,...) +--E 262 + +--S 263 of 514 +m0249:= a0249-r0249 +--R +--R +--R (158) 0 +--R Type: Expression Integer +--E 263 + +--S 264 of 514 +d0249:= D(m0249,x) +--R +--R +--R (159) 0 +--R Type: Expression Integer +--E 264 + +--S 265 of 514 +t0250:= 1/x/log(exp(x)) +--R +--R +--R 1 +--R (160) -- +--R 2 +--R x +--R Type: Expression Integer +--E 265 + +--S 266 of 514 +r0250:= (-log(x)+log(log(exp(x))))/(x-log(exp(x))) +--R +--R +--R >> Error detected within library code: +--R catdef: division by zero +--R +--R Continuing to read the file... +--R +--E 266 + +--S 267 of 514 +a0250:= integrate(t0250,x) +--R +--R +--R 1 +--R (161) - - +--R x +--R Type: Union(Expression Integer,...) +--E 267 + +--S 268 of 514 +--m0250:= a0250-r0250 +--E 268 + +--S 269 of 514 +--d0250:= D(m0250,x) +--E 269 + +--S 270 of 514 +t0251:= log(sin(x)^2) +--R +--R +--R 2 +--R (162) log(sin(x) ) +--R Type: Expression Integer +--E 270 + +--S 271 of 514 +r0251:= %i*x^2-2*x*log(1-exp(2*%i*x))+x*log(sin(x)^2)+%i*polylog(2,exp(2*%i*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 "$" to specify which version of the function you need. +--E 271 + +--S 272 of 514 +a0251:= integrate(t0251,x) +--R +--R +--R x +--R ++ 2 +--R (163) | log(sin(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 272 + +--S 273 of 514 +--m0251:= a0251-r0251 +--E 273 + +--S 274 of 514 +--d0251:= D(m0251,x) +--E 274 + +--S 275 of 514 +t0252:= log(sin(x)^n) +--R +--R +--R n +--R (164) log(sin(x) ) +--R Type: Expression Integer +--E 275 + +--S 276 of 514 +r0252:= 1/2*%i*n*x^2-n*x*log(1-exp(2*%i*x))+x*log(sin(x)^n)+_ + 1/2*%i*n*polylog(2,exp(2*%i*x)) +--R +--R There are 12 exposed and 3 unexposed library operations named - +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op - +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named - +--R with argument type(s) +--R Polynomial Complex Fraction Integer +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 276 + +--S 277 of 514 +a0252:= integrate(t0252,x) +--R +--R +--R x +--R ++ n +--R (165) | log(sin(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 277 + +--S 278 of 514 +--m0252:= a0252-r0252 +--E 278 + +--S 279 of 514 +--d0252:= D(m0252,x) +--E 279 + +--S 280 of 514 +t0253:= log(cos(x)^2) +--R +--R +--R 2 +--R (166) log(cos(x) ) +--R Type: Expression Integer +--E 280 + +--S 281 of 514 +r0253:= %i*x^2-2*x*log(1+exp(2*%i*x))+x*log(cos(x)^2)+_ + %i*polylog(2,-exp(2*%i*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 "$" to specify which version of the function you need. +--E 281 + +--S 282 of 514 +a0253:= integrate(t0253,x) +--R +--R +--R x +--R ++ 2 +--R (167) | log(cos(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 282 + +--S 283 of 514 +--m0253:= a0253-r0253 +--E 283 + +--S 284 of 514 +--d0253:= D(m0253,x) +--E 284 + +--S 285 of 514 +t0254:= log(cos(x)^n) +--R +--R +--R n +--R (168) log(cos(x) ) +--R Type: Expression Integer +--E 285 + +--S 286 of 514 +r0254:= 1/2*%i*n*x^2-n*x*log(1+exp(2*%i*x))+x*log(cos(x)^n)+_ + 1/2*%i*n*polylog(2,-exp(2*%i*x)) +--R +--R There are 12 exposed and 3 unexposed library operations named - +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op - +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named - +--R with argument type(s) +--R Polynomial Complex Fraction Integer +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 286 + +--S 287 of 514 +a0254:= integrate(t0254,x) +--R +--R +--R x +--R ++ n +--R (169) | log(cos(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 287 + +--S 288 of 514 +--m0254:= a0254-r0254 +--E 288 + +--S 289 of 514 +--d0254:= D(m0254,x) +--E 289 + +--S 290 of 514 +t0255:= log(tan(x)^2) +--R +--R +--R 2 +--R (170) log(tan(x) ) +--R Type: Expression Integer +--E 290 + +--S 291 of 514 +r0255:= 1/2*%i*log(1-%i*tan(x))*log(tan(x)^2)-1/2*%i*log(1+%i*tan(x))*_ + log(tan(x)^2)-%i*polylog(2,-%i*tan(x))+%i*polylog(2,%i*tan(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 "$" to specify which version of the function you need. +--E 291 + +--S 292 of 514 +a0255:= integrate(t0255,x) +--R +--R +--R x +--R ++ 2 +--R (171) | log(tan(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 292 + +--S 293 of 514 +--m0255:= a0255-r0255 +--E 293 + +--S 294 of 514 +--d0255:= D(m0255,x) +--E 294 + +--S 295 of 514 +t0256:= log(tan(x)^n) +--R +--R +--R n +--R (172) log(tan(x) ) +--R Type: Expression Integer +--E 295 + +--S 296 of 514 +r0256:= 1/2*%i*log(1-%i*tan(x))*log(tan(x)^n)-1/2*%i*log(1+%i*tan(x))*_ + log(tan(x)^n)-1/2*%i*n*polylog(2,-%i*tan(x))+_ + 1/2*%i*n*polylog(2,%i*tan(x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 296 + +--S 297 of 514 +a0256:= integrate(t0256,x) +--R +--R +--R x +--R ++ n +--R (173) | log(tan(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 297 + +--S 298 of 514 +--m0256:= a0256-r0256 +--E 298 + +--S 299 of 514 +--d0256:= D(m0256,x) +--E 299 + +--S 300 of 514 +t0257:= log(cot(x)^2) +--R +--R +--R 2 +--R (174) log(cot(x) ) +--R Type: Expression Integer +--E 300 + +--S 301 of 514 +r0257:= -1/2*%i*log(1-%i*cot(x))*log(cot(x)^2)+1/2*%i*log(1+%i*cot(x))*_ + log(cot(x)^2)+%i*polylog(2,-%i*cot(x))-%i*polylog(2,%i*cot(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 "$" to specify which version of the function you need. +--E 301 + +--S 302 of 514 +a0257:= integrate(t0257,x) +--R +--R +--R x +--R ++ 2 +--R (175) | log(cot(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 302 + +--S 303 of 514 +--m0257:= a0257-r0257 +--E 303 + +--S 304 of 514 +--d0257:= D(m0257,x) +--E 304 + +--S 305 of 514 +t0258:= log(cot(x)^n) +--R +--R +--R n +--R (176) log(cot(x) ) +--R Type: Expression Integer +--E 305 + +--S 306 of 514 +r0258:= -1/2*%i*log(1-%i*cot(x))*log(cot(x)^n)+1/2*%i*log(1+%i*cot(x))*_ + log(cot(x)^n)+1/2*%i*n*polylog(2,-%i*cot(x))-_ + 1/2*%i*n*polylog(2,%i*cot(x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 306 + +--S 307 of 514 +a0258:= integrate(t0258,x) +--R +--R +--R x +--R ++ n +--R (177) | log(cot(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 307 + +--S 308 of 514 +--m0258:= a0258-r0258 +--E 308 + +--S 309 of 514 +--d0258:= D(m0258,x) +--E 309 + +--S 310 of 514 +t0259:= log(sec(x)) +--R +--R +--R (178) log(sec(x)) +--R Type: Expression Integer +--E 310 + +--S 311 of 514 +r0259:= -1/2*%i*x^2+x*log(1+exp(2*%i*x))+x*log(1/cos(x))-_ + 1/2*%i*polylog(2,-exp(2*%i*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 "$" to specify which version of the function you need. +--E 311 + +--S 312 of 514 +a0259:= integrate(t0259,x) +--R +--R +--R x +--R ++ +--R (179) | log(sec(%I))d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 312 + +--S 313 of 514 +--m0259:= a0259-r0259 +--E 313 + +--S 314 of 514 +--d0259:= D(m0259,x) +--E 314 + +--S 315 of 514 +t0260:= log(sec(x)^2) +--R +--R +--R 2 +--R (180) log(sec(x) ) +--R Type: Expression Integer +--E 315 + +--S 316 of 514 +r0260:= -%i*x^2+2*x*log(1+exp(2*%i*x))+x*log(1/cos(x)^2)-_ + %i*polylog(2,-exp(2*%i*x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 316 + +--S 317 of 514 +a0260:= integrate(t0260,x) +--R +--R +--R x +--R ++ 2 +--R (181) | log(sec(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 317 + +--S 318 of 514 +--m0260:= a0260-r0260 +--E 318 + +--S 319 of 514 +--d0260:= D(m0260,x) +--E 319 + +--S 320 of 514 +t0261:= log(sec(x)^n) +--R +--R +--R n +--R (182) log(sec(x) ) +--R Type: Expression Integer +--E 320 + +--S 321 of 514 +r0261:= -1/2*%i*n*x^2+n*x*log(1+exp(2*%i*x))+x*log((1/cos(x))^n)-_ + 1/2*%i*n*polylog(2,-exp(2*%i*x)) +--R +--R There are 15 exposed and 5 unexposed library operations named + +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op + +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named + +--R with argument type(s) +--R Polynomial Complex Fraction Integer +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 321 + +--S 322 of 514 +a0261:= integrate(t0261,x) +--R +--R +--R x +--R ++ n +--R (183) | log(sec(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 322 + +--S 323 of 514 +--m0261:= a0261-r0261 +--E 323 + +--S 324 of 514 +--d0261:= D(m0261,x) +--E 324 + +--S 325 of 514 +t0262:= log(csc(x)) +--R +--R +--R (184) log(csc(x)) +--R Type: Expression Integer +--E 325 + +--S 326 of 514 +r0262:= -1/2*%i*x^2+x*log(1-exp(2*%i*x))+x*log(1/sin(x))-_ + 1/2*%i*polylog(2,exp(2*%i*x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 326 + +--S 327 of 514 +a0262:= integrate(t0262,x) +--R +--R +--R x +--R ++ +--R (185) | log(csc(%I))d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 327 + +--S 328 of 514 +--m0262:= a0262-r0262 +--E 328 + +--S 329 of 514 +--d0262:= D(m0262,x) +--E 329 + +--S 330 of 514 +t0263:= log(csc(x)^2) +--R +--R +--R 2 +--R (186) log(csc(x) ) +--R Type: Expression Integer +--E 330 + +--S 331 of 514 +r0263:= -%i*x^2+2*x*log(1-exp(2*%i*x))+x*log(1/sin(x)^2)-_ + %i*polylog(2,exp(2*%i*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 "$" to specify which version of the function you need. +--E 331 + +--S 332 of 514 +a0263:= integrate(t0263,x) +--R +--R +--R x +--R ++ 2 +--R (187) | log(csc(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 332 + +--S 333 of 514 +--m0263:= a0263-r0263 +--E 333 + +--S 334 of 514 +--d0263:= D(m0263,x) +--E 334 + +--S 335 of 514 +t0264:= log(csc(x)^n) +--R +--R +--R n +--R (188) log(csc(x) ) +--R Type: Expression Integer +--E 335 + +--S 336 of 514 +r0264:= -1/2*%i*n*x^2+n*x*log(1-exp(2*%i*x))+x*log((1/sin(x))^n)-_ + 1/2*%i*n*polylog(2,exp(2*%i*x)) +--R +--R There are 15 exposed and 5 unexposed library operations named + +--R having 2 argument(s) but none was determined to be applicable. +--R Use HyperDoc Browse, or issue +--R )display op + +--R to learn more about the available operations. Perhaps +--R package-calling the operation or using coercions on the arguments +--R will allow you to apply the operation. +--R +--R Cannot find a definition or applicable library operation named + +--R with argument type(s) +--R Polynomial Complex Fraction Integer +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 336 + +--S 337 of 514 +a0264:= integrate(t0264,x) +--R +--R +--R x +--R ++ n +--R (189) | log(csc(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 337 + +--S 338 of 514 +--m0264:= a0264-r0264 +--E 338 + +--S 339 of 514 +--d0264:= D(m0264,x) +--E 339 + +--S 340 of 514 +t0265:= cos(x)*log(1/2-1/2*cos(2*x)) +--R +--R +--R - cos(2x) + 1 +--R (190) cos(x)log(-------------) +--R 2 +--R Type: Expression Integer +--E 340 + +--S 341 of 514 +r0265:= sin(x)*(-2+log(sin(x)^2)) +--R +--R +--R 2 +--R (191) sin(x)log(sin(x) ) - 2sin(x) +--R Type: Expression Integer +--E 341 + +--S 342 of 514 +a0265:= integrate(t0265,x) +--R +--R +--R 2 +--R (192) sin(x)log(- cos(x) + 1) - 2sin(x) +--R Type: Union(Expression Integer,...) +--E 342 + +--S 343 of 514 +m0265:= a0265-r0265 +--R +--R +--R 2 2 +--R (193) - sin(x)log(sin(x) ) + sin(x)log(- cos(x) + 1) +--R Type: Expression Integer +--E 343 + +--S 344 of 514 +d0265:= D(m0265,x) +--R +--R +--R (194) +--R 3 2 3 2 +--R (- cos(x) + cos(x))log(sin(x) ) + (cos(x) - cos(x))log(- cos(x) + 1) +--R + +--R 2 3 +--R - 2cos(x)sin(x) - 2cos(x) + 2cos(x) +--R / +--R 2 +--R cos(x) - 1 +--R Type: Expression Integer +--E 344 + +--S 345 of 514 +t0266:= cot(x)/log(exp(1)*sin(x)) +--R +--R +--R cot(x) +--R (195) -------------- +--R log(%e sin(x)) +--R Type: Expression Integer +--E 345 + +--S 346 of 514 +r0266:= log(1+log(sin(x))) +--R +--R +--R (196) log(log(sin(x)) + 1) +--R Type: Expression Integer +--E 346 + +--S 347 of 514 +a0266:= integrate(t0266,x) +--R +--R +--R (197) log(log(%e sin(x))) +--R Type: Union(Expression Integer,...) +--E 347 + +--S 348 of 514 +m0266:= a0266-r0266 +--R +--R +--R (198) log(log(%e sin(x))) - log(log(sin(x)) + 1) +--R Type: Expression Integer +--E 348 + +--S 349 of 514 +d0266:= D(m0266,x) +--R +--R +--R - cos(x)log(%e sin(x)) + cos(x)log(sin(x)) + cos(x) +--R (199) --------------------------------------------------- +--R (sin(x)log(sin(x)) + sin(x))log(%e sin(x)) +--R Type: Expression Integer +--E 349 + +--S 350 of 514 +t0267:= cot(x)/log(exp(1)^sin(x)) +--R +--R +--R cot(x) +--R (200) ------ +--R sin(x) +--R Type: Expression Integer +--E 350 + +--S 351 of 514 +r0267:= (-log(log(exp(sin(x))))+log(sin(x)))/(log(exp(sin(x)))-sin(x)) +--R +--R +--R >> Error detected within library code: +--R catdef: division by zero +--R +--R Continuing to read the file... +--R +--E 351 + +--S 352 of 514 +a0267:= integrate(t0267,x) +--R +--R +--R 1 +--R (201) - ------ +--R sin(x) +--R Type: Union(Expression Integer,...) +--E 352 + +--S 353 of 514 +--m0267:= a0267-r0267 +--E 353 + +--S 354 of 514 +--d0267:= D(m0267,x) +--E 354 + +--S 355 of 514 +t0268:= log(cos(x))*sec(x)^2 +--R +--R +--R 2 +--R (202) sec(x) log(cos(x)) +--R Type: Expression Integer +--E 355 + +--S 356 of 514 +r0268:= -x+tan(x)+log(cos(x))*tan(x) +--R +--R +--R (203) tan(x)log(cos(x)) + tan(x) - x +--R Type: Expression Integer +--E 356 + +--S 357 of 514 +a0268:= integrate(t0268,x) +--R +--R +--R sin(x)log(cos(x)) + sin(x) - x cos(x) +--R (204) ------------------------------------- +--R cos(x) +--R Type: Union(Expression Integer,...) +--E 357 + +--S 358 of 514 +m0268:= a0268-r0268 +--R +--R +--R (- cos(x)tan(x) + sin(x))log(cos(x)) - cos(x)tan(x) + sin(x) +--R (205) ------------------------------------------------------------ +--R cos(x) +--R Type: Expression Integer +--E 358 + +--S 359 of 514 +d0268:= D(m0268,x) +--R +--R +--R (206) +--R 2 2 2 2 2 +--R (- cos(x) tan(x) + sin(x) )log(cos(x)) - cos(x) tan(x) + cos(x)sin(x)tan(x) +--R ----------------------------------------------------------------------------- +--R 2 +--R cos(x) +--R Type: Expression Integer +--E 359 + +--S 360 of 514 +t0269:= cot(x)*log(sin(x)) +--R +--R +--R (207) cot(x)log(sin(x)) +--R Type: Expression Integer +--E 360 + +--S 361 of 514 +r0269:= 1/2*log(sin(x))^2 +--R +--R +--R 2 +--R log(sin(x)) +--R (208) ------------ +--R 2 +--R Type: Expression Integer +--E 361 + +--S 362 of 514 +a0269:= integrate(t0269,x) +--R +--R +--R 2 +--R log(sin(x)) +--R (209) ------------ +--R 2 +--R Type: Union(Expression Integer,...) +--E 362 + +--S 363 of 514 +m0269:= a0269-r0269 +--R +--R +--R (210) 0 +--R Type: Expression Integer +--E 363 + +--S 364 of 514 +d0269:= D(m0269,x) +--R +--R +--R (211) 0 +--R Type: Expression Integer +--E 364 + +--S 365 of 514 +t0270:= tan(x)/log(cos(x)) +--R +--R +--R tan(x) +--R (212) ----------- +--R log(cos(x)) +--R Type: Expression Integer +--E 365 + +--S 366 of 514 +r0270:= -log(log(cos(x))) +--R +--R +--R (213) - log(log(cos(x))) +--R Type: Expression Integer +--E 366 + +--S 367 of 514 +a0270:= integrate(t0270,x) +--R +--R +--R (214) - log(log(cos(x))) +--R Type: Union(Expression Integer,...) +--E 367 + +--S 368 of 514 +m0270:= a0270-r0270 +--R +--R +--R (215) 0 +--R Type: Expression Integer +--E 368 + +--S 369 of 514 +d0270:= D(m0270,x) +--R +--R +--R (216) 0 +--R Type: Expression Integer +--E 369 + +--S 370 of 514 +t0271:= csc(x)*log(tan(x))*sec(x) +--R +--R +--R (217) csc(x)sec(x)log(tan(x)) +--R Type: Expression Integer +--E 370 + +--S 371 of 514 +r0271:= 1/2*log(tan(x))^2 +--R +--R +--R 2 +--R log(tan(x)) +--R (218) ------------ +--R 2 +--R Type: Expression Integer +--E 371 + +--S 372 of 514 +a0271:= integrate(t0271,x) +--R +--R +--R sin(x) 2 +--R log(------) +--R cos(x) +--R (219) ------------ +--R 2 +--R Type: Union(Expression Integer,...) +--E 372 + +--S 373 of 514 +m0271:= a0271-r0271 +--R +--R +--R 2 sin(x) 2 +--R - log(tan(x)) + log(------) +--R cos(x) +--R (220) ----------------------------- +--R 2 +--R Type: Expression Integer +--E 373 + +--S 374 of 514 +d0271:= D(m0271,x) +--R +--R +--R (221) +--R 2 +--R (- cos(x)sin(x)tan(x) - cos(x)sin(x))log(tan(x)) +--R + +--R 2 2 sin(x) +--R (sin(x) + cos(x) )tan(x)log(------) +--R cos(x) +--R / +--R cos(x)sin(x)tan(x) +--R Type: Expression Integer +--E 374 + +--S 375 of 514 +t0272:= csc(2*x)*log(tan(x)) +--R +--R +--R (222) csc(2x)log(tan(x)) +--R Type: Expression Integer +--E 375 + +--S 376 of 514 +r0272:= 1/4*log(tan(x))^2 +--R +--R +--R 2 +--R log(tan(x)) +--R (223) ------------ +--R 4 +--R Type: Expression Integer +--E 376 + +--S 377 of 514 +a0272:= integrate(t0272,x) +--R +--R +--R sin(x) 2 +--R log(------) +--R cos(x) +--R (224) ------------ +--R 4 +--R Type: Union(Expression Integer,...) +--E 377 + +--S 378 of 514 +m0272:= a0272-r0272 +--R +--R +--R 2 sin(x) 2 +--R - log(tan(x)) + log(------) +--R cos(x) +--R (225) ----------------------------- +--R 4 +--R Type: Expression Integer +--E 378 + +--S 379 of 514 +d0272:= D(m0272,x) +--R +--R +--R (226) +--R 2 +--R (- cos(x)sin(x)tan(x) - cos(x)sin(x))log(tan(x)) +--R + +--R 2 2 sin(x) +--R (sin(x) + cos(x) )tan(x)log(------) +--R cos(x) +--R / +--R 2cos(x)sin(x)tan(x) +--R Type: Expression Integer +--E 379 + +--S 380 of 514 +t0273:= log(sinh(x)) +--R +--R +--R (227) log(sinh(x)) +--R Type: Expression Integer +--E 380 + +--S 381 of 514 +r0273:= 1/2*x^2-x*log(1-exp(2*x))+x*log(sinh(x))-1/2*polylog(2,exp(2*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 Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 381 + +--S 382 of 514 +a0273:= integrate(t0273,x) +--R +--R +--R x +--R ++ +--R (228) | log(sinh(%I))d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 382 + +--S 383 of 514 +--m0273:= a0273-r0273 +--E 383 + +--S 384 of 514 +--d0273:= D(m0273,x) +--E 384 + +--S 385 of 514 +t0274:= log(sinh(x)^2) +--R +--R +--R 2 +--R (229) log(sinh(x) ) +--R Type: Expression Integer +--E 385 + +--S 386 of 514 +r0274:= x^2-2*x*log(1-exp(2*x))+x*log(sinh(x)^2)-polylog(2,exp(2*x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 386 + +--S 387 of 514 +a0274:= integrate(t0274,x) +--R +--R +--R x +--R ++ 2 +--R (230) | log(sinh(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 387 + +--S 388 of 514 +--m0274:= a0274-r0274 +--E 388 + +--S 389 of 514 +--d0274:= D(m0274,x) +--E 389 + +--S 390 of 514 +t0275:= log(sinh(x)^n) +--R +--R +--R n +--R (231) log(sinh(x) ) +--R Type: Expression Integer +--E 390 + +--S 391 of 514 +r0275:= 1/2*n*x^2-n*x*log(1-exp(2*x))+x*log(sinh(x)^n)-_ + 1/2*n*polylog(2,exp(2*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 Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 391 + +--S 392 of 514 +a0275:= integrate(t0275,x) +--R +--R +--R x +--R ++ n +--R (232) | log(sinh(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 392 + +--S 393 of 514 +--m0275:= a0275-r0275 +--E 393 + +--S 394 of 514 +--d0275:= D(m0275,x) +--E 394 + +--S 395 of 514 +t0276:= log(cosh(x)) +--R +--R +--R (233) log(cosh(x)) +--R Type: Expression Integer +--E 395 + +--S 396 of 514 +r0276:= 1/2*x^2-x*log(1+exp(2*x))+x*log(cosh(x))-1/2*polylog(2,-exp(2*x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 396 + +--S 397 of 514 +a0276:= integrate(t0276,x) +--R +--R +--R x +--R ++ +--R (234) | log(cosh(%I))d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 397 + +--S 398 of 514 +--m0276:= a0276-r0276 +--E 398 + +--S 399 of 514 +--d0276:= D(m0276,x) +--E 399 + +--S 400 of 514 +t0277:= log(cosh(x)^2) +--R +--R +--R 2 +--R (235) log(cosh(x) ) +--R Type: Expression Integer +--E 400 + +--S 401 of 514 +r0277:= x^2-2*x*log(1+exp(2*x))+x*log(cosh(x)^2)-polylog(2,-exp(2*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 Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 401 + +--S 402 of 514 +a0277:= integrate(t0277,x) +--R +--R +--R x +--R ++ 2 +--R (236) | log(cosh(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 402 + +--S 403 of 514 +--m0277:= a0277-r0277 +--E 403 + +--S 404 of 514 +--d0277:= D(m0277,x) +--E 404 + +--S 405 of 514 +t0278:= log(cosh(x)^n) +--R +--R +--R n +--R (237) log(cosh(x) ) +--R Type: Expression Integer +--E 405 + +--S 406 of 514 +r0278:= 1/2*n*x^2-n*x*log(1+exp(2*x))+x*log(cosh(x)^n)-_ + 1/2*n*polylog(2,-exp(2*x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 406 + +--S 407 of 514 +a0278:= integrate(t0278,x) +--R +--R +--R x +--R ++ n +--R (238) | log(cosh(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 407 + +--S 408 of 514 +--m0278:= a0278-r0278 +--E 408 + +--S 409 of 514 +--d0278:= D(m0278,x) +--E 409 + +--S 410 of 514 +t0279:= log(tanh(x)^n) +--R +--R +--R n +--R (239) log(tanh(x) ) +--R Type: Expression Integer +--E 410 + +--S 411 of 514 +r0279:= -1/2*log(1-tanh(x))*log(tanh(x)^n)+1/2*log(tanh(x)^n)*_ + log(1+tanh(x))+1/2*n*polylog(2,-tanh(x))-1/2*n*polylog(2,tanh(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 Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 411 + +--S 412 of 514 +a0279:= integrate(t0279,x) +--R +--R +--R x +--R ++ n +--R (240) | log(tanh(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 412 + +--S 413 of 514 +--m0279:= a0279-r0279 +--E 413 + +--S 414 of 514 +--d0279:= D(m0279,x) +--E 414 + +--S 415 of 514 +t0280:= log(coth(x)^n) +--R +--R +--R n +--R (241) log(coth(x) ) +--R Type: Expression Integer +--E 415 + +--S 416 of 514 +r0280:= -1/2*log(1-coth(x))*log(coth(x)^n)+1/2*log(coth(x)^n)*_ + log(1+coth(x))+1/2*n*polylog(2,-coth(x))-1/2*n*polylog(2,coth(x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 416 + +--S 417 of 514 +a0280:= integrate(t0280,x) +--R +--R +--R x +--R ++ n +--R (242) | log(coth(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 417 + +--S 418 of 514 +--m0280:= a0280-r0280 +--E 418 + +--S 419 of 514 +--d0280:= D(m0280,x) +--E 419 + +--S 420 of 514 +t0281:= log(sech(x)) +--R +--R +--R (243) log(sech(x)) +--R Type: Expression Integer +--E 420 + +--S 421 of 514 +r0281:= -1/2*x^2+x*log(1+exp(2*x))+x*log(1/cosh(x))+1/2*polylog(2,-exp(2*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 Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 421 + +--S 422 of 514 +a0281:= integrate(t0281,x) +--R +--R +--R x +--R ++ +--R (244) | log(sech(%I))d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 422 + +--S 423 of 514 +--m0281:= a0281-r0281 +--E 423 + +--S 424 of 514 +--d0281:= D(m0281,x) +--E 424 + +--S 425 of 514 +t0282:= log(sech(x)^2) +--R +--R +--R 2 +--R (245) log(sech(x) ) +--R Type: Expression Integer +--E 425 + +--S 426 of 514 +r0282:= -x^2+2*x*log(1+exp(2*x))+x*log(1/cosh(x)^2)+polylog(2,-exp(2*x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 426 + +--S 427 of 514 +a0282:= integrate(t0282,x) +--R +--R +--R x +--R ++ 2 +--R (246) | log(sech(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 427 + +--S 428 of 514 +--m0282:= a0282-r0282 +--E 428 + +--S 429 of 514 +--d0282:= D(m0282,x) +--E 429 + +--S 430 of 514 +t0283:= log(sech(x)^n) +--R +--R +--R n +--R (247) log(sech(x) ) +--R Type: Expression Integer +--E 430 + +--S 431 of 514 +r0283:= -1/2*n*x^2+n*x*log(1+exp(2*x))+x*log((1/cosh(x))^n)+_ + 1/2*n*polylog(2,-exp(2*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 Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 431 + +--S 432 of 514 +a0283:= integrate(t0283,x) +--R +--R +--R x +--R ++ n +--R (248) | log(sech(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 432 + +--S 433 of 514 +--m0283:= a0283-r0283 +--E 433 + +--S 434 of 514 +--d0283:= D(m0283,x) +--E 434 + +--S 435 of 514 +t0284:= log(csch(x)) +--R +--R +--R (249) log(csch(x)) +--R Type: Expression Integer +--E 435 + +--S 436 of 514 +r0284:= -1/2*x^2+x*log(1-exp(2*x))+x*log(1/sinh(x))+1/2*polylog(2,exp(2*x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 436 + +--S 437 of 514 +a0284:= integrate(t0284,x) +--R +--R +--R x +--R ++ +--R (250) | log(csch(%I))d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 437 + +--S 438 of 514 +--m0284:= a0284-r0284 +--E 438 + +--S 439 of 514 +--d0284:= D(m0284,x) +--E 439 + +--S 440 of 514 +t0285:= log(csch(x)^2) +--R +--R +--R 2 +--R (251) log(csch(x) ) +--R Type: Expression Integer +--E 440 + +--S 441 of 514 +r0285:= -x^2+2*x*log(1-exp(2*x))+x*log(1/sinh(x)^2)+polylog(2,exp(2*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 Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 441 + +--S 442 of 514 +a0285:= integrate(t0285,x) +--R +--R +--R x +--R ++ 2 +--R (252) | log(csch(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 442 + +--S 443 of 514 +--m0285:= a0285-r0285 +--E 443 + +--S 444 of 514 +--d0285:= D(m0285,x) +--E 444 + +--S 445 of 514 +t0286:= log(csch(x)^n) +--R +--R +--R n +--R (253) log(csch(x) ) +--R Type: Expression Integer +--E 445 + +--S 446 of 514 +r0286:= -1/2*n*x^2+n*x*log(1-exp(2*x))+x*log((1/sinh(x))^n)+_ + 1/2*n*polylog(2,exp(2*x)) +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 446 + +--S 447 of 514 +a0286:= integrate(t0286,x) +--R +--R +--R x +--R ++ n +--R (254) | log(csch(%I) )d%I +--R ++ +--R Type: Union(Expression Integer,...) +--E 447 + +--S 448 of 514 +--m0286:= a0286-r0286 +--E 448 + +--S 449 of 514 +--d0286:= D(m0286,x) +--E 449 + +--S 450 of 514 +t0287:= sec(a+b*log(c*x^n))/x +--R +--R +--R n +--R sec(b log(c x ) + a) +--R (255) -------------------- +--R x +--R Type: Expression Integer +--E 450 + +--S 451 of 514 +r0287:= atanh(sin(a+b*log(c*x^n)))/b/n +--R +--R +--R n +--R atanh(sin(b log(c x ) + a)) +--R (256) --------------------------- +--R b n +--R Type: Expression Integer +--E 451 + +--S 452 of 514 +a0287:= integrate(t0287,x) +--R +--R +--R (257) +--R log(sin(b n log(x) + b log(c) + a) + 1) +--R + +--R - log(sin(b n log(x) + b log(c) + a) - 1) +--R / +--R 2b n +--R Type: Union(Expression Integer,...) +--E 452 + +--S 453 of 514 +m0287:= a0287-r0287 +--R +--R +--R (258) +--R n +--R - 2atanh(sin(b log(c x ) + a)) + log(sin(b n log(x) + b log(c) + a) + 1) +--R + +--R - log(sin(b n log(x) + b log(c) + a) - 1) +--R / +--R 2b n +--R Type: Expression Integer +--E 453 + +--S 454 of 514 +d0287:= D(m0287,x) +--R +--R +--R (259) +--R n n 2 +--R - x cos(b n log(x) + b log(c) + a)sin(b log(c x ) + a) +--R + +--R n - 1 2 n - 1 n +--R (x x sin(b n log(x) + b log(c) + a) - x x )cos(b log(c x ) + a) +--R + +--R n +--R x cos(b n log(x) + b log(c) + a) +--R / +--R n 2 n n 2 +--R (x x sin(b n log(x) + b log(c) + a) - x x )sin(b log(c x ) + a) +--R + +--R n 2 n +--R - x x sin(b n log(x) + b log(c) + a) + x x +--R Type: Expression Integer +--E 454 + +--S 455 of 514 +t0288:= csc(a+b*log(c*x^n))/x +--R +--R +--R n +--R csc(b log(c x ) + a) +--R (260) -------------------- +--R x +--R Type: Expression Integer +--E 455 + +--S 456 of 514 +r0288:= -atanh(cos(a+b*log(c*x^n)))/b/n +--R +--R +--R n +--R atanh(cos(b log(c x ) + a)) +--R (261) - --------------------------- +--R b n +--R Type: Expression Integer +--E 456 + +--S 457 of 514 +a0288:= integrate(t0288,x) +--R +--R +--R (262) +--R - log(cos(b n log(x) + b log(c) + a) + 1) +--R + +--R log(cos(b n log(x) + b log(c) + a) - 1) +--R / +--R 2b n +--R Type: Union(Expression Integer,...) +--E 457 + +--S 458 of 514 +m0288:= a0288-r0288 +--R +--R +--R (263) +--R n +--R 2atanh(cos(b log(c x ) + a)) - log(cos(b n log(x) + b log(c) + a) + 1) +--R + +--R log(cos(b n log(x) + b log(c) + a) - 1) +--R / +--R 2b n +--R Type: Expression Integer +--E 458 + +--S 459 of 514 +d0288:= D(m0288,x) +--R +--R +--R (264) +--R n - 1 2 n - 1 n +--R (x x cos(b n log(x) + b log(c) + a) - x x )sin(b log(c x ) + a) +--R + +--R n n 2 +--R - x sin(b n log(x) + b log(c) + a)cos(b log(c x ) + a) +--R + +--R n +--R x sin(b n log(x) + b log(c) + a) +--R / +--R n 2 n n 2 +--R (x x cos(b n log(x) + b log(c) + a) - x x )cos(b log(c x ) + a) +--R + +--R n 2 n +--R - x x cos(b n log(x) + b log(c) + a) + x x +--R Type: Expression Integer +--E 459 + +--S 460 of 514 +t0289:= sin(a+b*log(c*x^n))^(1/2)/x +--R +--R +--R +--------------------+ +--R | n +--R \|sin(b log(c x ) + a) +--R (265) ----------------------- +--R x +--R Type: Expression Integer +--E 460 + +--S 461 of 514 +r0289:= 2*EllipticE(1/2*a-1/4*%pi+1/2*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 Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 461 + +--S 462 of 514 +a0289:= integrate(t0289,x) +--R +--R +--R +---------------------+ +--R x | n +--R ++ \|sin(b log(c %I ) + a) +--R (266) | ------------------------ d%I +--R ++ %I +--R Type: Union(Expression Integer,...) +--E 462 + +--S 463 of 514 +--m0289:= a0289-r0289 +--E 463 + +--S 464 of 514 +--d0289:= D(m0289,x) +--E 464 + +--S 465 of 514 +t0290:= sin(a+b*log(c*x^n))^(3/2)/x +--R +--R +--R +--------------------+ +--R n | n +--R sin(b log(c x ) + a)\|sin(b log(c x ) + a) +--R (267) ------------------------------------------- +--R x +--R Type: Expression Integer +--E 465 + +--S 466 of 514 +r0290:= 2/3/b/n*(EllipticF(1/2*a-1/4*%pi+1/2*b*log(c*x^n),2)-_ + cos(a+b*log(c*x^n))*sin(a+b*log(c*x^n))^(1/2)) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 466 + +--S 467 of 514 +a0290:= integrate(t0290,x) +--R +--R +--R +---------------------+ +--R x n | n +--R ++ sin(b log(c %I ) + a)\|sin(b log(c %I ) + a) +--R (268) | --------------------------------------------- d%I +--R ++ %I +--R Type: Union(Expression Integer,...) +--E 467 + +--S 468 of 514 +--m0290:= a0290-r0290 +--E 468 + +--S 469 of 514 +--d0290:= D(m0290,x) +--E 469 + +--S 470 of 514 +t0291:= sin(a+b*log(c*x^n))^(5/2)/x +--R +--R +--R +--------------------+ +--R n 2 | n +--R sin(b log(c x ) + a) \|sin(b log(c x ) + a) +--R (269) -------------------------------------------- +--R x +--R Type: Expression Integer +--E 470 + +--S 471 of 514 +r0291:= -2/5/b/n*(-3*EllipticE(1/2*a-1/4*%pi+1/2*b*log(c*x^n),2)+_ + cos(a+b*log(c*x^n))*sin(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 "$" to specify which version of the function you need. +--E 471 + +--S 472 of 514 +a0291:= integrate(t0291,x) +--R +--R +--R +---------------------+ +--R x n 2 | n +--R ++ sin(b log(c %I ) + a) \|sin(b log(c %I ) + a) +--R (270) | ---------------------------------------------- d%I +--R ++ %I +--R Type: Union(Expression Integer,...) +--E 472 + +--S 473 of 514 +--m0291:= a0291-r0291 +--E 473 + +--S 474 of 514 +--d0291:= D(m0291,x) +--E 474 + +--S 475 of 514 +t0292:= 1/x/sin(a+b*log(c*x^n))^(1/2) +--R +--R +--R 1 +--R (271) ------------------------ +--R +--------------------+ +--R | n +--R x\|sin(b log(c x ) + a) +--R Type: Expression Integer +--E 475 + +--S 476 of 514 +r0292:= 2*EllipticF(1/2*a-1/4*%pi+1/2*b*log(c*x^n),2)/b/n +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 476 + +--S 477 of 514 +a0292:= integrate(t0292,x) +--R +--R +--R x +--R ++ 1 +--R (272) | -------------------------- d%I +--R ++ +---------------------+ +--R | n +--R %I\|sin(b log(c %I ) + a) +--R Type: Union(Expression Integer,...) +--E 477 + +--S 478 of 514 +--m0292:= a0292-r0292 +--E 478 + +--S 479 of 514 +--d0292:= D(m0292,x) +--E 479 + +--S 480 of 514 +t0293:= 1/x/sin(a+b*log(c*x^n))^(3/2) +--R +--R +--R 1 +--R (273) --------------------------------------------- +--R +--------------------+ +--R n | n +--R x sin(b log(c x ) + a)\|sin(b log(c x ) + a) +--R Type: Expression Integer +--E 480 + +--S 481 of 514 +r0293:= -2*EllipticE(1/2*a-1/4*%pi+1/2*b*log(c*x^n),2)/b/n-_ + 2*cos(a+b*log(c*x^n))/b/n/sin(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 Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 481 + +--S 482 of 514 +a0293:= integrate(t0293,x) +--R +--R +--R x +--R ++ 1 +--R (274) | ------------------------------------------------ d%I +--R ++ +---------------------+ +--R n | n +--R %I sin(b log(c %I ) + a)\|sin(b log(c %I ) + a) +--R Type: Union(Expression Integer,...) +--E 482 + +--S 483 of 514 +--m0293:= a0293-r0293 +--E 483 + +--S 484 of 514 +--d0293:= D(m0293,x) +--E 484 + +--S 485 of 514 +t0294:= 1/x/sin(a+b*log(c*x^n))^(5/2) +--R +--R +--R 1 +--R (275) ---------------------------------------------- +--R +--------------------+ +--R n 2 | n +--R x sin(b log(c x ) + a) \|sin(b log(c x ) + a) +--R Type: Expression Integer +--E 485 + +--S 486 of 514 +r0294:= 2/3*EllipticF(1/2*a-1/4*%pi+1/2*b*log(c*x^n),2)/b/n-_ + 2/3*cos(a+b*log(c*x^n))/b/n/sin(a+b*log(c*x^n))^(3/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 486 + +--S 487 of 514 +a0294:= integrate(t0294,x) +--R +--R +--R x +--R ++ 1 +--R (276) | ------------------------------------------------- d%I +--R ++ +---------------------+ +--R n 2 | n +--R %I sin(b log(c %I ) + a) \|sin(b log(c %I ) + a) +--R Type: Union(Expression Integer,...) +--E 487 + +--S 488 of 514 +--m0294:= a0294-r0294 +--E 488 + +--S 489 of 514 +--d0294:= D(m0294,x) +--E 489 + +--S 490 of 514 +t0295:= cos(a+b*log(c*x^n))^(1/2)/x +--R +--R +--R +--------------------+ +--R | n +--R \|cos(b log(c x ) + a) +--R (277) ----------------------- +--R x +--R Type: Expression Integer +--E 490 + +--S 491 of 514 +r0295:= 2*EllipticE(1/2*a+1/2*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 Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 491 + +--S 492 of 514 +a0295:= integrate(t0295,x) +--R +--R +--R +---------------------+ +--R x | n +--R ++ \|cos(b log(c %I ) + a) +--R (278) | ------------------------ d%I +--R ++ %I +--R Type: Union(Expression Integer,...) +--E 492 + +--S 493 of 514 +--m0295:= a0295-r0295 +--E 493 + +--S 494 of 514 +--d0295:= D(m0295,x) +--E 494 + +--S 495 of 514 +t0296:= cos(a+b*log(c*x^n))^(3/2)/x +--R +--R +--R +--------------------+ +--R n | n +--R cos(b log(c x ) + a)\|cos(b log(c x ) + a) +--R (279) ------------------------------------------- +--R x +--R Type: Expression Integer +--E 495 + +--S 496 of 514 +r0296:= 2/3/b/n*(EllipticF(1/2*a+1/2*b*log(c*x^n),2)+_ + cos(a+b*log(c*x^n))^(1/2)*sin(a+b*log(c*x^n))) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 496 + +--S 497 of 514 +a0296:= integrate(t0296,x) +--R +--R +--R +---------------------+ +--R x n | n +--R ++ cos(b log(c %I ) + a)\|cos(b log(c %I ) + a) +--R (280) | --------------------------------------------- d%I +--R ++ %I +--R Type: Union(Expression Integer,...) +--E 497 + +--S 498 of 514 +--m0296:= a0296-r0296 +--E 498 + +--S 499 of 514 +--d0296:= D(m0296,x) +--E 499 + +--S 500 of 514 +t0297:= cos(a+b*log(c*x^n))^(5/2)/x +--R +--R +--R +--------------------+ +--R n 2 | n +--R cos(b log(c x ) + a) \|cos(b log(c x ) + a) +--R (281) -------------------------------------------- +--R x +--R Type: Expression Integer +--E 500 + +--S 501 of 514 +r0297:= 2/5/b/n*(3*EllipticE(1/2*a+1/2*b*log(c*x^n),2)+_ + cos(a+b*log(c*x^n))^(3/2)*sin(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 Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 501 + +--S 502 of 514 +a0297:= integrate(t0297,x) +--R +--R +--R +---------------------+ +--R x n 2 | n +--R ++ cos(b log(c %I ) + a) \|cos(b log(c %I ) + a) +--R (282) | ---------------------------------------------- d%I +--R ++ %I +--R Type: Union(Expression Integer,...) +--E 502 + +--S 503 of 514 +--m0297:= a0297-r0297 +--E 503 + +--S 504 of 514 +--d0297:= D(m0297,x) +--E 504 + +--S 505 of 514 +t0298:= 1/x/cos(a+b*log(c*x^n))^(1/2) +--R +--R +--R 1 +--R (283) ------------------------ +--R +--------------------+ +--R | n +--R x\|cos(b log(c x ) + a) +--R Type: Expression Integer +--E 505 + +--S 506 of 514 +r0298:= 2*EllipticF(1/2*a+1/2*b*log(c*x^n),2)/b/n +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 506 + +--S 507 of 514 +a0298:= integrate(t0298,x) +--R +--R +--R x +--R ++ 1 +--R (284) | -------------------------- d%I +--R ++ +---------------------+ +--R | n +--R %I\|cos(b log(c %I ) + a) +--R Type: Union(Expression Integer,...) +--E 507 + +--S 508 of 514 +--m0298:= a0298-r0298 +--E 508 + +--S 509 of 514 +--d0298:= D(m0298,x) +--E 509 + +--S 510 of 514 +t0299:= 1/x/cos(a+b*log(c*x^n))^(3/2) +--R +--R +--R 1 +--R (285) --------------------------------------------- +--R +--------------------+ +--R n | n +--R x cos(b log(c x ) + a)\|cos(b log(c x ) + a) +--R Type: Expression Integer +--E 510 + +--S 511 of 514 +r0299:= -2*EllipticE(1/2*a+1/2*b*log(c*x^n),2)/b/n+_ + 2*sin(a+b*log(c*x^n))/b/n/cos(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 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 511 + +--S 512 of 514 +a0299:= integrate(t0299,x) +--R +--R +--R x +--R ++ 1 +--R (286) | ------------------------------------------------ d%I +--R ++ +---------------------+ +--R n | n +--R %I cos(b log(c %I ) + a)\|cos(b log(c %I ) + a) +--R Type: Union(Expression Integer,...) +--E 512 + +--S 513 of 514 +--m0299:= a0299-r0299 +--E 513 + +--S 514 of 514 +--d0299:= D(m0299,x) +--E 514 + +)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}