1,1,26,0,0.134518," ","integrate(cosh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(b x + a\right)}}{2 \, b} - \frac{e^{\left(-b x - a\right)}}{2 \, b}"," ",0,"1/2*e^(b*x + a)/b - 1/2*e^(-b*x - a)/b","B",0
2,1,32,0,0.134223," ","integrate(cosh(b*x+a)^2,x, algorithm=""giac"")","\frac{1}{2} \, x + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{8 \, b} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{8 \, b}"," ",0,"1/2*x + 1/8*e^(2*b*x + 2*a)/b - 1/8*e^(-2*b*x - 2*a)/b","A",0
3,1,54,0,0.121632," ","integrate(cosh(b*x+a)^3,x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + 3 \, a\right)}}{24 \, b} + \frac{3 \, e^{\left(b x + a\right)}}{8 \, b} - \frac{3 \, e^{\left(-b x - a\right)}}{8 \, b} - \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{24 \, b}"," ",0,"1/24*e^(3*b*x + 3*a)/b + 3/8*e^(b*x + a)/b - 3/8*e^(-b*x - a)/b - 1/24*e^(-3*b*x - 3*a)/b","B",0
4,1,60,0,0.121253," ","integrate(cosh(b*x+a)^4,x, algorithm=""giac"")","\frac{3}{8} \, x + \frac{e^{\left(4 \, b x + 4 \, a\right)}}{64 \, b} + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{8 \, b} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{8 \, b} - \frac{e^{\left(-4 \, b x - 4 \, a\right)}}{64 \, b}"," ",0,"3/8*x + 1/64*e^(4*b*x + 4*a)/b + 1/8*e^(2*b*x + 2*a)/b - 1/8*e^(-2*b*x - 2*a)/b - 1/64*e^(-4*b*x - 4*a)/b","A",0
5,1,82,0,0.141114," ","integrate(cosh(b*x+a)^5,x, algorithm=""giac"")","\frac{e^{\left(5 \, b x + 5 \, a\right)}}{160 \, b} + \frac{5 \, e^{\left(3 \, b x + 3 \, a\right)}}{96 \, b} + \frac{5 \, e^{\left(b x + a\right)}}{16 \, b} - \frac{5 \, e^{\left(-b x - a\right)}}{16 \, b} - \frac{5 \, e^{\left(-3 \, b x - 3 \, a\right)}}{96 \, b} - \frac{e^{\left(-5 \, b x - 5 \, a\right)}}{160 \, b}"," ",0,"1/160*e^(5*b*x + 5*a)/b + 5/96*e^(3*b*x + 3*a)/b + 5/16*e^(b*x + a)/b - 5/16*e^(-b*x - a)/b - 5/96*e^(-3*b*x - 3*a)/b - 1/160*e^(-5*b*x - 5*a)/b","B",0
6,1,88,0,0.135625," ","integrate(cosh(b*x+a)^6,x, algorithm=""giac"")","\frac{5}{16} \, x + \frac{e^{\left(6 \, b x + 6 \, a\right)}}{384 \, b} + \frac{3 \, e^{\left(4 \, b x + 4 \, a\right)}}{128 \, b} + \frac{15 \, e^{\left(2 \, b x + 2 \, a\right)}}{128 \, b} - \frac{15 \, e^{\left(-2 \, b x - 2 \, a\right)}}{128 \, b} - \frac{3 \, e^{\left(-4 \, b x - 4 \, a\right)}}{128 \, b} - \frac{e^{\left(-6 \, b x - 6 \, a\right)}}{384 \, b}"," ",0,"5/16*x + 1/384*e^(6*b*x + 6*a)/b + 3/128*e^(4*b*x + 4*a)/b + 15/128*e^(2*b*x + 2*a)/b - 15/128*e^(-2*b*x - 2*a)/b - 3/128*e^(-4*b*x - 4*a)/b - 1/384*e^(-6*b*x - 6*a)/b","A",0
7,0,0,0,0.000000," ","integrate(cosh(b*x+a)^(7/2),x, algorithm=""giac"")","\int \cosh\left(b x + a\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(7/2), x)","F",0
8,0,0,0,0.000000," ","integrate(cosh(b*x+a)^(5/2),x, algorithm=""giac"")","\int \cosh\left(b x + a\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(5/2), x)","F",0
9,0,0,0,0.000000," ","integrate(cosh(b*x+a)^(3/2),x, algorithm=""giac"")","\int \cosh\left(b x + a\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(3/2), x)","F",0
10,0,0,0,0.000000," ","integrate(cosh(b*x+a)^(1/2),x, algorithm=""giac"")","\int \sqrt{\cosh\left(b x + a\right)}\,{d x}"," ",0,"integrate(sqrt(cosh(b*x + a)), x)","F",0
11,0,0,0,0.000000," ","integrate(1/cosh(b*x+a)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{\cosh\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/sqrt(cosh(b*x + a)), x)","F",0
12,0,0,0,0.000000," ","integrate(1/cosh(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\cosh\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(-3/2), x)","F",0
13,0,0,0,0.000000," ","integrate(1/cosh(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\cosh\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(-5/2), x)","F",0
14,0,0,0,0.000000," ","integrate(1/cosh(b*x+a)^(7/2),x, algorithm=""giac"")","\int \frac{1}{\cosh\left(b x + a\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(cosh(b*x + a)^(-7/2), x)","F",0
15,0,0,0,0.000000," ","integrate((a*cosh(x))^(7/2),x, algorithm=""giac"")","\int \left(a \cosh\left(x\right)\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((a*cosh(x))^(7/2), x)","F",0
16,0,0,0,0.000000," ","integrate((a*cosh(x))^(5/2),x, algorithm=""giac"")","\int \left(a \cosh\left(x\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((a*cosh(x))^(5/2), x)","F",0
17,0,0,0,0.000000," ","integrate((a*cosh(x))^(3/2),x, algorithm=""giac"")","\int \left(a \cosh\left(x\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*cosh(x))^(3/2), x)","F",0
18,0,0,0,0.000000," ","integrate((a*cosh(x))^(1/2),x, algorithm=""giac"")","\int \sqrt{a \cosh\left(x\right)}\,{d x}"," ",0,"integrate(sqrt(a*cosh(x)), x)","F",0
19,0,0,0,0.000000," ","integrate(1/(a*cosh(x))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{a \cosh\left(x\right)}}\,{d x}"," ",0,"integrate(1/sqrt(a*cosh(x)), x)","F",0
20,0,0,0,0.000000," ","integrate(1/(a*cosh(x))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(a \cosh\left(x\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*cosh(x))^(-3/2), x)","F",0
21,0,0,0,0.000000," ","integrate(1/(a*cosh(x))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(a \cosh\left(x\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a*cosh(x))^(-5/2), x)","F",0
22,0,0,0,0.000000," ","integrate(1/(a*cosh(x))^(7/2),x, algorithm=""giac"")","\int \frac{1}{\left(a \cosh\left(x\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((a*cosh(x))^(-7/2), x)","F",0
23,0,0,0,0.000000," ","integrate((b*cosh(d*x+c))^n,x, algorithm=""giac"")","\int \left(b \cosh\left(d x + c\right)\right)^{n}\,{d x}"," ",0,"integrate((b*cosh(d*x + c))^n, x)","F",0
24,1,70,0,0.122307," ","integrate(cosh(x)^4/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{3 \, x}{2 \, a} - \frac{{\left(69 \, e^{\left(3 \, x\right)} + 18 \, e^{\left(2 \, x\right)} - 2 \, e^{x} + 1\right)} e^{\left(-3 \, x\right)}}{24 \, a {\left(e^{x} + 1\right)}} + \frac{a^{2} e^{\left(3 \, x\right)} - 3 \, a^{2} e^{\left(2 \, x\right)} + 21 \, a^{2} e^{x}}{24 \, a^{3}}"," ",0,"-3/2*x/a - 1/24*(69*e^(3*x) + 18*e^(2*x) - 2*e^x + 1)*e^(-3*x)/(a*(e^x + 1)) + 1/24*(a^2*e^(3*x) - 3*a^2*e^(2*x) + 21*a^2*e^x)/a^3","A",0
25,1,51,0,0.116496," ","integrate(cosh(x)^3/(a+a*cosh(x)),x, algorithm=""giac"")","\frac{3 \, x}{2 \, a} + \frac{{\left(20 \, e^{\left(2 \, x\right)} + 3 \, e^{x} - 1\right)} e^{\left(-2 \, x\right)}}{8 \, a {\left(e^{x} + 1\right)}} + \frac{a e^{\left(2 \, x\right)} - 4 \, a e^{x}}{8 \, a^{2}}"," ",0,"3/2*x/a + 1/8*(20*e^(2*x) + 3*e^x - 1)*e^(-2*x)/(a*(e^x + 1)) + 1/8*(a*e^(2*x) - 4*a*e^x)/a^2","A",0
26,1,35,0,0.119986," ","integrate(cosh(x)^2/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{x}{a} - \frac{{\left(5 \, e^{x} + 1\right)} e^{\left(-x\right)}}{2 \, a {\left(e^{x} + 1\right)}} + \frac{e^{x}}{2 \, a}"," ",0,"-x/a - 1/2*(5*e^x + 1)*e^(-x)/(a*(e^x + 1)) + 1/2*e^x/a","A",0
27,1,17,0,0.122163," ","integrate(cosh(x)/(a+a*cosh(x)),x, algorithm=""giac"")","\frac{x}{a} + \frac{2}{a {\left(e^{x} + 1\right)}}"," ",0,"x/a + 2/(a*(e^x + 1))","A",0
28,1,20,0,0.122423," ","integrate(sech(x)/(a+a*cosh(x)),x, algorithm=""giac"")","\frac{2 \, \arctan\left(e^{x}\right)}{a} + \frac{2}{a {\left(e^{x} + 1\right)}}"," ",0,"2*arctan(e^x)/a + 2/(a*(e^x + 1))","A",0
29,1,36,0,0.146777," ","integrate(sech(x)^2/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{2 \, \arctan\left(e^{x}\right)}{a} - \frac{2 \, {\left(e^{\left(2 \, x\right)} + e^{x} + 2\right)}}{a {\left(e^{\left(3 \, x\right)} + e^{\left(2 \, x\right)} + e^{x} + 1\right)}}"," ",0,"-2*arctan(e^x)/a - 2*(e^(2*x) + e^x + 2)/(a*(e^(3*x) + e^(2*x) + e^x + 1))","A",0
30,1,48,0,0.146291," ","integrate(sech(x)^3/(a+a*cosh(x)),x, algorithm=""giac"")","\frac{3 \, \arctan\left(e^{x}\right)}{a} + \frac{e^{\left(3 \, x\right)} + 2 \, e^{\left(2 \, x\right)} - e^{x} + 2}{a {\left(e^{\left(2 \, x\right)} + 1\right)}^{2}} + \frac{2}{a {\left(e^{x} + 1\right)}}"," ",0,"3*arctan(e^x)/a + (e^(3*x) + 2*e^(2*x) - e^x + 2)/(a*(e^(2*x) + 1)^2) + 2/(a*(e^x + 1))","A",0
31,1,57,0,0.139568," ","integrate(sech(x)^4/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{3 \, \arctan\left(e^{x}\right)}{a} - \frac{2}{a {\left(e^{x} + 1\right)}} - \frac{3 \, e^{\left(5 \, x\right)} + 6 \, e^{\left(4 \, x\right)} + 24 \, e^{\left(2 \, x\right)} - 3 \, e^{x} + 10}{3 \, a {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"-3*arctan(e^x)/a - 2/(a*(e^x + 1)) - 1/3*(3*e^(5*x) + 6*e^(4*x) + 24*e^(2*x) - 3*e^x + 10)/(a*(e^(2*x) + 1)^3)","A",0
32,1,15,0,0.140661," ","integrate(1/(1+cosh(d*x+c)),x, algorithm=""giac"")","-\frac{2}{d {\left(e^{\left(d x + c\right)} + 1\right)}}"," ",0,"-2/(d*(e^(d*x + c) + 1))","A",0
33,1,25,0,0.129351," ","integrate(1/(1+cosh(d*x+c))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, e^{\left(d x + c\right)} + 1\right)}}{3 \, d {\left(e^{\left(d x + c\right)} + 1\right)}^{3}}"," ",0,"-2/3*(3*e^(d*x + c) + 1)/(d*(e^(d*x + c) + 1)^3)","A",0
34,1,36,0,0.141927," ","integrate(1/(1+cosh(d*x+c))^3,x, algorithm=""giac"")","-\frac{4 \, {\left(10 \, e^{\left(2 \, d x + 2 \, c\right)} + 5 \, e^{\left(d x + c\right)} + 1\right)}}{15 \, d {\left(e^{\left(d x + c\right)} + 1\right)}^{5}}"," ",0,"-4/15*(10*e^(2*d*x + 2*c) + 5*e^(d*x + c) + 1)/(d*(e^(d*x + c) + 1)^5)","A",0
35,1,47,0,0.137832," ","integrate(1/(1+cosh(d*x+c))^4,x, algorithm=""giac"")","-\frac{4 \, {\left(35 \, e^{\left(3 \, d x + 3 \, c\right)} + 21 \, e^{\left(2 \, d x + 2 \, c\right)} + 7 \, e^{\left(d x + c\right)} + 1\right)}}{35 \, d {\left(e^{\left(d x + c\right)} + 1\right)}^{7}}"," ",0,"-4/35*(35*e^(3*d*x + 3*c) + 21*e^(2*d*x + 2*c) + 7*e^(d*x + c) + 1)/(d*(e^(d*x + c) + 1)^7)","A",0
36,1,15,0,0.135758," ","integrate(1/(1-cosh(d*x+c)),x, algorithm=""giac"")","\frac{2}{d {\left(e^{\left(d x + c\right)} - 1\right)}}"," ",0,"2/(d*(e^(d*x + c) - 1))","A",0
37,1,25,0,0.118672," ","integrate(1/(1-cosh(d*x+c))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, e^{\left(d x + c\right)} - 1\right)}}{3 \, d {\left(e^{\left(d x + c\right)} - 1\right)}^{3}}"," ",0,"-2/3*(3*e^(d*x + c) - 1)/(d*(e^(d*x + c) - 1)^3)","A",0
38,1,36,0,0.125161," ","integrate(1/(1-cosh(d*x+c))^3,x, algorithm=""giac"")","\frac{4 \, {\left(10 \, e^{\left(2 \, d x + 2 \, c\right)} - 5 \, e^{\left(d x + c\right)} + 1\right)}}{15 \, d {\left(e^{\left(d x + c\right)} - 1\right)}^{5}}"," ",0,"4/15*(10*e^(2*d*x + 2*c) - 5*e^(d*x + c) + 1)/(d*(e^(d*x + c) - 1)^5)","A",0
39,1,47,0,0.133104," ","integrate(1/(1-cosh(d*x+c))^4,x, algorithm=""giac"")","-\frac{4 \, {\left(35 \, e^{\left(3 \, d x + 3 \, c\right)} - 21 \, e^{\left(2 \, d x + 2 \, c\right)} + 7 \, e^{\left(d x + c\right)} - 1\right)}}{35 \, d {\left(e^{\left(d x + c\right)} - 1\right)}^{7}}"," ",0,"-4/35*(35*e^(3*d*x + 3*c) - 21*e^(2*d*x + 2*c) + 7*e^(d*x + c) - 1)/(d*(e^(d*x + c) - 1)^7)","A",0
40,1,46,0,0.173393," ","integrate(cosh(x)/(a+a*cosh(x))^(1/2),x, algorithm=""giac"")","-\sqrt{2} {\left(\frac{2 \, {\left(-i \, \arctan\left(-i\right) + 1\right)}}{\sqrt{-a}} + \frac{2 \, \arctan\left(e^{\left(\frac{1}{2} \, x\right)}\right)}{\sqrt{a}} - \frac{e^{\left(\frac{1}{2} \, x\right)}}{\sqrt{a}} + \frac{e^{\left(-\frac{1}{2} \, x\right)}}{\sqrt{a}}\right)}"," ",0,"-sqrt(2)*(2*(-I*arctan(-I) + 1)/sqrt(-a) + 2*arctan(e^(1/2*x))/sqrt(a) - e^(1/2*x)/sqrt(a) + e^(-1/2*x)/sqrt(a))","C",0
41,1,90,0,0.159498," ","integrate(cosh(x)/(a-a*cosh(x))^(1/2),x, algorithm=""giac"")","-\sqrt{2} {\left(\frac{2 \, {\left(i \, \arctan\left(-i\right) - 1\right)} \mathrm{sgn}\left(-e^{x} + 1\right)}{\sqrt{-a}} + \frac{2 \, \arctan\left(\frac{\sqrt{-a e^{x}}}{\sqrt{a}}\right)}{\sqrt{a} \mathrm{sgn}\left(-e^{x} + 1\right)} + \frac{1}{\sqrt{-a e^{x}} \mathrm{sgn}\left(-e^{x} + 1\right)} - \frac{\sqrt{-a e^{x}}}{a \mathrm{sgn}\left(-e^{x} + 1\right)}\right)}"," ",0,"-sqrt(2)*(2*(I*arctan(-I) - 1)*sgn(-e^x + 1)/sqrt(-a) + 2*arctan(sqrt(-a*e^x)/sqrt(a))/(sqrt(a)*sgn(-e^x + 1)) + 1/(sqrt(-a*e^x)*sgn(-e^x + 1)) - sqrt(-a*e^x)/(a*sgn(-e^x + 1)))","C",0
42,1,105,0,0.152763," ","integrate((a+a*cosh(d*x+c))^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left({\left(150 \, a^{\frac{5}{2}} e^{\left(2 \, d x + \frac{5}{2} \, c\right)} + 25 \, a^{\frac{5}{2}} e^{\left(d x + \frac{3}{2} \, c\right)} + 3 \, a^{\frac{5}{2}} e^{\left(\frac{1}{2} \, c\right)}\right)} e^{\left(-\frac{5}{2} \, d x - 3 \, c\right)} - {\left(3 \, a^{\frac{5}{2}} e^{\left(\frac{5}{2} \, d x + \frac{35}{2} \, c\right)} + 25 \, a^{\frac{5}{2}} e^{\left(\frac{3}{2} \, d x + \frac{33}{2} \, c\right)} + 150 \, a^{\frac{5}{2}} e^{\left(\frac{1}{2} \, d x + \frac{31}{2} \, c\right)}\right)} e^{\left(-15 \, c\right)}\right)}}{60 \, d}"," ",0,"-1/60*sqrt(2)*((150*a^(5/2)*e^(2*d*x + 5/2*c) + 25*a^(5/2)*e^(d*x + 3/2*c) + 3*a^(5/2)*e^(1/2*c))*e^(-5/2*d*x - 3*c) - (3*a^(5/2)*e^(5/2*d*x + 35/2*c) + 25*a^(5/2)*e^(3/2*d*x + 33/2*c) + 150*a^(5/2)*e^(1/2*d*x + 31/2*c))*e^(-15*c))/d","A",0
43,1,75,0,0.128055," ","integrate((a+a*cosh(d*x+c))^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left({\left(9 \, a^{\frac{3}{2}} e^{\left(d x + \frac{3}{2} \, c\right)} + a^{\frac{3}{2}} e^{\left(\frac{1}{2} \, c\right)}\right)} e^{\left(-\frac{3}{2} \, d x - 2 \, c\right)} - {\left(a^{\frac{3}{2}} e^{\left(\frac{3}{2} \, d x + \frac{15}{2} \, c\right)} + 9 \, a^{\frac{3}{2}} e^{\left(\frac{1}{2} \, d x + \frac{13}{2} \, c\right)}\right)} e^{\left(-6 \, c\right)}\right)}}{6 \, d}"," ",0,"-1/6*sqrt(2)*((9*a^(3/2)*e^(d*x + 3/2*c) + a^(3/2)*e^(1/2*c))*e^(-3/2*d*x - 2*c) - (a^(3/2)*e^(3/2*d*x + 15/2*c) + 9*a^(3/2)*e^(1/2*d*x + 13/2*c))*e^(-6*c))/d","A",0
44,1,35,0,0.115226," ","integrate((a+a*cosh(d*x+c))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\sqrt{a} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} - \sqrt{a} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)}\right)}}{d}"," ",0,"sqrt(2)*(sqrt(a)*e^(1/2*d*x + 1/2*c) - sqrt(a)*e^(-1/2*d*x - 1/2*c))/d","A",0
45,1,21,0,0.142197," ","integrate(1/(a+a*cosh(d*x+c))^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{2} \arctan\left(e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}\right)}{\sqrt{a} d}"," ",0,"2*sqrt(2)*arctan(e^(1/2*d*x + 1/2*c))/(sqrt(a)*d)","A",0
46,1,67,0,0.199418," ","integrate(1/(a+a*cosh(d*x+c))^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{\arctan\left(e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}\right)}{\sqrt{a}} + \frac{a^{\frac{3}{2}} e^{\left(\frac{3}{2} \, d x + \frac{3}{2} \, c\right)} - a^{\frac{3}{2}} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{{\left(a e^{\left(d x + c\right)} + a\right)}^{2}}\right)}}{2 \, a d}"," ",0,"1/2*sqrt(2)*(arctan(e^(1/2*d*x + 1/2*c))/sqrt(a) + (a^(3/2)*e^(3/2*d*x + 3/2*c) - a^(3/2)*e^(1/2*d*x + 1/2*c))/(a*e^(d*x + c) + a)^2)/(a*d)","A",0
47,1,97,0,0.269977," ","integrate(1/(a+a*cosh(d*x+c))^(5/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\frac{3 \, \arctan\left(e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}\right)}{a^{\frac{5}{2}}} + \frac{3 \, a^{\frac{7}{2}} e^{\left(\frac{7}{2} \, d x + \frac{7}{2} \, c\right)} + 11 \, a^{\frac{7}{2}} e^{\left(\frac{5}{2} \, d x + \frac{5}{2} \, c\right)} - 11 \, a^{\frac{7}{2}} e^{\left(\frac{3}{2} \, d x + \frac{3}{2} \, c\right)} - 3 \, a^{\frac{7}{2}} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{{\left(a e^{\left(d x + c\right)} + a\right)}^{4} a^{2}}\right)}}{16 \, d}"," ",0,"1/16*sqrt(2)*(3*arctan(e^(1/2*d*x + 1/2*c))/a^(5/2) + (3*a^(7/2)*e^(7/2*d*x + 7/2*c) + 11*a^(7/2)*e^(5/2*d*x + 5/2*c) - 11*a^(7/2)*e^(3/2*d*x + 3/2*c) - 3*a^(7/2)*e^(1/2*d*x + 1/2*c))/((a*e^(d*x + c) + a)^4*a^2))/d","A",0
48,1,189,0,0.160820," ","integrate((a-a*cosh(d*x+c))^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(3 \, \sqrt{-a} a^{2} e^{\left(\frac{5}{2} \, d x + \frac{5}{2} \, c\right)} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right) - 25 \, \sqrt{-a} a^{2} e^{\left(\frac{3}{2} \, d x + \frac{3}{2} \, c\right)} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right) + 150 \, \sqrt{-a} a^{2} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right) + 150 \, \sqrt{-a} a^{2} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right) - 25 \, \sqrt{-a} a^{2} e^{\left(-\frac{3}{2} \, d x - \frac{3}{2} \, c\right)} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right) + 3 \, \sqrt{-a} a^{2} e^{\left(-\frac{5}{2} \, d x - \frac{5}{2} \, c\right)} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right)\right)}}{60 \, d}"," ",0,"-1/60*sqrt(2)*(3*sqrt(-a)*a^2*e^(5/2*d*x + 5/2*c)*sgn(-e^(d*x + c) + 1) - 25*sqrt(-a)*a^2*e^(3/2*d*x + 3/2*c)*sgn(-e^(d*x + c) + 1) + 150*sqrt(-a)*a^2*e^(1/2*d*x + 1/2*c)*sgn(-e^(d*x + c) + 1) + 150*sqrt(-a)*a^2*e^(-1/2*d*x - 1/2*c)*sgn(-e^(d*x + c) + 1) - 25*sqrt(-a)*a^2*e^(-3/2*d*x - 3/2*c)*sgn(-e^(d*x + c) + 1) + 3*sqrt(-a)*a^2*e^(-5/2*d*x - 5/2*c)*sgn(-e^(d*x + c) + 1))/d","B",0
49,1,119,0,0.162171," ","integrate((a-a*cosh(d*x+c))^(3/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\sqrt{-a} a e^{\left(\frac{3}{2} \, d x + \frac{3}{2} \, c\right)} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right) - 9 \, \sqrt{-a} a e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right) - 9 \, \sqrt{-a} a e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right) + \sqrt{-a} a e^{\left(-\frac{3}{2} \, d x - \frac{3}{2} \, c\right)} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right)\right)}}{6 \, d}"," ",0,"1/6*sqrt(2)*(sqrt(-a)*a*e^(3/2*d*x + 3/2*c)*sgn(-e^(d*x + c) + 1) - 9*sqrt(-a)*a*e^(1/2*d*x + 1/2*c)*sgn(-e^(d*x + c) + 1) - 9*sqrt(-a)*a*e^(-1/2*d*x - 1/2*c)*sgn(-e^(d*x + c) + 1) + sqrt(-a)*a*e^(-3/2*d*x - 3/2*c)*sgn(-e^(d*x + c) + 1))/d","B",0
50,1,61,0,0.150397," ","integrate((a-a*cosh(d*x+c))^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\sqrt{-a} e^{\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right) + \sqrt{-a} e^{\left(-\frac{1}{2} \, d x - \frac{1}{2} \, c\right)} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right)\right)}}{d}"," ",0,"-sqrt(2)*(sqrt(-a)*e^(1/2*d*x + 1/2*c)*sgn(-e^(d*x + c) + 1) + sqrt(-a)*e^(-1/2*d*x - 1/2*c)*sgn(-e^(d*x + c) + 1))/d","B",0
51,1,40,0,0.139976," ","integrate(1/(a-a*cosh(d*x+c))^(1/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{-a e^{\left(d x + c\right)}}}{\sqrt{a}}\right)}{\sqrt{a} d \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right)}"," ",0,"-2*sqrt(2)*arctan(sqrt(-a*e^(d*x + c))/sqrt(a))/(sqrt(a)*d*sgn(-e^(d*x + c) + 1))","A",0
52,1,107,0,0.245011," ","integrate(1/(a-a*cosh(d*x+c))^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\frac{\arctan\left(\frac{\sqrt{-a e^{\left(d x + c\right)}}}{\sqrt{a}}\right)}{\sqrt{a} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right)} - \frac{\sqrt{-a e^{\left(d x + c\right)}} a e^{\left(d x + c\right)} + \sqrt{-a e^{\left(d x + c\right)}} a}{{\left(a e^{\left(d x + c\right)} - a\right)}^{2} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right)}\right)}}{2 \, a d}"," ",0,"-1/2*sqrt(2)*(arctan(sqrt(-a*e^(d*x + c))/sqrt(a))/(sqrt(a)*sgn(-e^(d*x + c) + 1)) - (sqrt(-a*e^(d*x + c))*a*e^(d*x + c) + sqrt(-a*e^(d*x + c))*a)/((a*e^(d*x + c) - a)^2*sgn(-e^(d*x + c) + 1)))/(a*d)","A",0
53,1,164,0,0.301371," ","integrate(1/(a-a*cosh(d*x+c))^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\frac{3 \, \arctan\left(\frac{\sqrt{-a e^{\left(d x + c\right)}}}{\sqrt{a}}\right)}{a^{\frac{5}{2}} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right)} - \frac{3 \, \sqrt{-a e^{\left(d x + c\right)}} a^{3} e^{\left(3 \, d x + 3 \, c\right)} - 11 \, \sqrt{-a e^{\left(d x + c\right)}} a^{3} e^{\left(2 \, d x + 2 \, c\right)} - 11 \, \sqrt{-a e^{\left(d x + c\right)}} a^{3} e^{\left(d x + c\right)} + 3 \, \sqrt{-a e^{\left(d x + c\right)}} a^{3}}{{\left(a e^{\left(d x + c\right)} - a\right)}^{4} a^{2} \mathrm{sgn}\left(-e^{\left(d x + c\right)} + 1\right)}\right)}}{16 \, d}"," ",0,"-1/16*sqrt(2)*(3*arctan(sqrt(-a*e^(d*x + c))/sqrt(a))/(a^(5/2)*sgn(-e^(d*x + c) + 1)) - (3*sqrt(-a*e^(d*x + c))*a^3*e^(3*d*x + 3*c) - 11*sqrt(-a*e^(d*x + c))*a^3*e^(2*d*x + 2*c) - 11*sqrt(-a*e^(d*x + c))*a^3*e^(d*x + c) + 3*sqrt(-a*e^(d*x + c))*a^3)/((a*e^(d*x + c) - a)^4*a^2*sgn(-e^(d*x + c) + 1)))/d","A",0
54,1,133,0,0.124619," ","integrate(cosh(x)^4/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, a^{4} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} b^{4}} + \frac{b^{2} e^{\left(3 \, x\right)} - 3 \, a b e^{\left(2 \, x\right)} + 12 \, a^{2} e^{x} + 9 \, b^{2} e^{x}}{24 \, b^{3}} - \frac{{\left(2 \, a^{3} + a b^{2}\right)} x}{2 \, b^{4}} + \frac{{\left(3 \, a b^{2} e^{x} - b^{3} - 3 \, {\left(4 \, a^{2} b + 3 \, b^{3}\right)} e^{\left(2 \, x\right)}\right)} e^{\left(-3 \, x\right)}}{24 \, b^{4}}"," ",0,"2*a^4*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b^4) + 1/24*(b^2*e^(3*x) - 3*a*b*e^(2*x) + 12*a^2*e^x + 9*b^2*e^x)/b^3 - 1/2*(2*a^3 + a*b^2)*x/b^4 + 1/24*(3*a*b^2*e^x - b^3 - 3*(4*a^2*b + 3*b^3)*e^(2*x))*e^(-3*x)/b^4","A",0
55,1,92,0,0.119818," ","integrate(cosh(x)^3/(a+b*cosh(x)),x, algorithm=""giac"")","-\frac{2 \, a^{3} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} b^{3}} + \frac{b e^{\left(2 \, x\right)} - 4 \, a e^{x}}{8 \, b^{2}} + \frac{{\left(2 \, a^{2} + b^{2}\right)} x}{2 \, b^{3}} + \frac{{\left(4 \, a b e^{x} - b^{2}\right)} e^{\left(-2 \, x\right)}}{8 \, b^{3}}"," ",0,"-2*a^3*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b^3) + 1/8*(b*e^(2*x) - 4*a*e^x)/b^2 + 1/2*(2*a^2 + b^2)*x/b^3 + 1/8*(4*a*b*e^x - b^2)*e^(-2*x)/b^3","A",0
56,1,62,0,0.150047," ","integrate(cosh(x)^2/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, a^{2} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} b^{2}} - \frac{a x}{b^{2}} - \frac{e^{\left(-x\right)}}{2 \, b} + \frac{e^{x}}{2 \, b}"," ",0,"2*a^2*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b^2) - a*x/b^2 - 1/2*e^(-x)/b + 1/2*e^x/b","A",0
57,1,42,0,0.121872," ","integrate(cosh(x)/(a+b*cosh(x)),x, algorithm=""giac"")","-\frac{2 \, a \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} b} + \frac{x}{b}"," ",0,"-2*a*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b) + x/b","A",0
58,1,45,0,0.146953," ","integrate(sech(x)/(a+b*cosh(x)),x, algorithm=""giac"")","-\frac{2 \, b \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} a} + \frac{2 \, \arctan\left(e^{x}\right)}{a}"," ",0,"-2*b*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*a) + 2*arctan(e^x)/a","A",0
59,1,61,0,0.145190," ","integrate(sech(x)^2/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, b^{2} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} a^{2}} - \frac{2 \, b \arctan\left(e^{x}\right)}{a^{2}} - \frac{2}{a {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"2*b^2*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*a^2) - 2*b*arctan(e^x)/a^2 - 2/(a*(e^(2*x) + 1))","A",0
60,1,89,0,0.146168," ","integrate(sech(x)^3/(a+b*cosh(x)),x, algorithm=""giac"")","-\frac{2 \, b^{3} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} a^{3}} + \frac{{\left(a^{2} + 2 \, b^{2}\right)} \arctan\left(e^{x}\right)}{a^{3}} + \frac{a e^{\left(3 \, x\right)} + 2 \, b e^{\left(2 \, x\right)} - a e^{x} + 2 \, b}{a^{2} {\left(e^{\left(2 \, x\right)} + 1\right)}^{2}}"," ",0,"-2*b^3*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*a^3) + (a^2 + 2*b^2)*arctan(e^x)/a^3 + (a*e^(3*x) + 2*b*e^(2*x) - a*e^x + 2*b)/(a^2*(e^(2*x) + 1)^2)","A",0
61,1,123,0,0.119903," ","integrate(sech(x)^4/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, b^{4} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} a^{4}} - \frac{{\left(a^{2} b + 2 \, b^{3}\right)} \arctan\left(e^{x}\right)}{a^{4}} - \frac{3 \, a b e^{\left(5 \, x\right)} + 6 \, b^{2} e^{\left(4 \, x\right)} + 12 \, a^{2} e^{\left(2 \, x\right)} + 12 \, b^{2} e^{\left(2 \, x\right)} - 3 \, a b e^{x} + 4 \, a^{2} + 6 \, b^{2}}{3 \, a^{3} {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"2*b^4*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*a^4) - (a^2*b + 2*b^3)*arctan(e^x)/a^4 - 1/3*(3*a*b*e^(5*x) + 6*b^2*e^(4*x) + 12*a^2*e^(2*x) + 12*b^2*e^(2*x) - 3*a*b*e^x + 4*a^2 + 6*b^2)/(a^3*(e^(2*x) + 1)^3)","A",0
62,1,263,0,0.155052," ","integrate((a+b*cosh(d*x+c))^5,x, algorithm=""giac"")","\frac{b^{5} e^{\left(5 \, d x + 5 \, c\right)}}{160 \, d} + \frac{5 \, a b^{4} e^{\left(4 \, d x + 4 \, c\right)}}{64 \, d} - \frac{5 \, a b^{4} e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d} - \frac{b^{5} e^{\left(-5 \, d x - 5 \, c\right)}}{160 \, d} + \frac{1}{8} \, {\left(8 \, a^{5} + 40 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x + \frac{5 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} e^{\left(3 \, d x + 3 \, c\right)}}{96 \, d} + \frac{5 \, {\left(2 \, a^{3} b^{2} + a b^{4}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} + \frac{5 \, {\left(8 \, a^{4} b + 12 \, a^{2} b^{3} + b^{5}\right)} e^{\left(d x + c\right)}}{16 \, d} - \frac{5 \, {\left(8 \, a^{4} b + 12 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-d x - c\right)}}{16 \, d} - \frac{5 \, {\left(2 \, a^{3} b^{2} + a b^{4}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d} - \frac{5 \, {\left(8 \, a^{2} b^{3} + b^{5}\right)} e^{\left(-3 \, d x - 3 \, c\right)}}{96 \, d}"," ",0,"1/160*b^5*e^(5*d*x + 5*c)/d + 5/64*a*b^4*e^(4*d*x + 4*c)/d - 5/64*a*b^4*e^(-4*d*x - 4*c)/d - 1/160*b^5*e^(-5*d*x - 5*c)/d + 1/8*(8*a^5 + 40*a^3*b^2 + 15*a*b^4)*x + 5/96*(8*a^2*b^3 + b^5)*e^(3*d*x + 3*c)/d + 5/8*(2*a^3*b^2 + a*b^4)*e^(2*d*x + 2*c)/d + 5/16*(8*a^4*b + 12*a^2*b^3 + b^5)*e^(d*x + c)/d - 5/16*(8*a^4*b + 12*a^2*b^3 + b^5)*e^(-d*x - c)/d - 5/8*(2*a^3*b^2 + a*b^4)*e^(-2*d*x - 2*c)/d - 5/96*(8*a^2*b^3 + b^5)*e^(-3*d*x - 3*c)/d","A",0
63,1,196,0,0.132302," ","integrate((a+b*cosh(d*x+c))^4,x, algorithm=""giac"")","\frac{b^{4} e^{\left(4 \, d x + 4 \, c\right)}}{64 \, d} + \frac{a b^{3} e^{\left(3 \, d x + 3 \, c\right)}}{6 \, d} - \frac{a b^{3} e^{\left(-3 \, d x - 3 \, c\right)}}{6 \, d} - \frac{b^{4} e^{\left(-4 \, d x - 4 \, c\right)}}{64 \, d} + \frac{1}{8} \, {\left(8 \, a^{4} + 24 \, a^{2} b^{2} + 3 \, b^{4}\right)} x + \frac{{\left(6 \, a^{2} b^{2} + b^{4}\right)} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} + \frac{{\left(4 \, a^{3} b + 3 \, a b^{3}\right)} e^{\left(d x + c\right)}}{2 \, d} - \frac{{\left(4 \, a^{3} b + 3 \, a b^{3}\right)} e^{\left(-d x - c\right)}}{2 \, d} - \frac{{\left(6 \, a^{2} b^{2} + b^{4}\right)} e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d}"," ",0,"1/64*b^4*e^(4*d*x + 4*c)/d + 1/6*a*b^3*e^(3*d*x + 3*c)/d - 1/6*a*b^3*e^(-3*d*x - 3*c)/d - 1/64*b^4*e^(-4*d*x - 4*c)/d + 1/8*(8*a^4 + 24*a^2*b^2 + 3*b^4)*x + 1/8*(6*a^2*b^2 + b^4)*e^(2*d*x + 2*c)/d + 1/2*(4*a^3*b + 3*a*b^3)*e^(d*x + c)/d - 1/2*(4*a^3*b + 3*a*b^3)*e^(-d*x - c)/d - 1/8*(6*a^2*b^2 + b^4)*e^(-2*d*x - 2*c)/d","A",0
64,1,131,0,0.141108," ","integrate((a+b*cosh(d*x+c))^3,x, algorithm=""giac"")","\frac{b^{3} e^{\left(3 \, d x + 3 \, c\right)}}{24 \, d} + \frac{3 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} - \frac{3 \, a b^{2} e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d} - \frac{b^{3} e^{\left(-3 \, d x - 3 \, c\right)}}{24 \, d} + \frac{1}{2} \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} x + \frac{3 \, {\left(4 \, a^{2} b + b^{3}\right)} e^{\left(d x + c\right)}}{8 \, d} - \frac{3 \, {\left(4 \, a^{2} b + b^{3}\right)} e^{\left(-d x - c\right)}}{8 \, d}"," ",0,"1/24*b^3*e^(3*d*x + 3*c)/d + 3/8*a*b^2*e^(2*d*x + 2*c)/d - 3/8*a*b^2*e^(-2*d*x - 2*c)/d - 1/24*b^3*e^(-3*d*x - 3*c)/d + 1/2*(2*a^3 + 3*a*b^2)*x + 3/8*(4*a^2*b + b^3)*e^(d*x + c)/d - 3/8*(4*a^2*b + b^3)*e^(-d*x - c)/d","A",0
65,1,75,0,0.137141," ","integrate((a+b*cosh(d*x+c))^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left(2 \, a^{2} + b^{2}\right)} x + \frac{b^{2} e^{\left(2 \, d x + 2 \, c\right)}}{8 \, d} + \frac{a b e^{\left(d x + c\right)}}{d} - \frac{a b e^{\left(-d x - c\right)}}{d} - \frac{b^{2} e^{\left(-2 \, d x - 2 \, c\right)}}{8 \, d}"," ",0,"1/2*(2*a^2 + b^2)*x + 1/8*b^2*e^(2*d*x + 2*c)/d + a*b*e^(d*x + c)/d - a*b*e^(-d*x - c)/d - 1/8*b^2*e^(-2*d*x - 2*c)/d","A",0
66,1,32,0,0.109619," ","integrate(a+b*cosh(d*x+c),x, algorithm=""giac"")","a x + \frac{1}{2} \, b {\left(\frac{e^{\left(d x + c\right)}}{d} - \frac{e^{\left(-d x - c\right)}}{d}\right)}"," ",0,"a*x + 1/2*b*(e^(d*x + c)/d - e^(-d*x - c)/d)","B",0
67,1,39,0,0.135132," ","integrate(1/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{b e^{\left(d x + c\right)} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} d}"," ",0,"2*arctan((b*e^(d*x + c) + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*d)","A",0
68,1,99,0,0.139975," ","integrate(1/(a+b*cosh(d*x+c))^2,x, algorithm=""giac"")","\frac{2 \, {\left(\frac{a \arctan\left(\frac{b e^{\left(d x + c\right)} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)} \sqrt{-a^{2} + b^{2}}} + \frac{a e^{\left(d x + c\right)} + b}{{\left(a^{2} - b^{2}\right)} {\left(b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a e^{\left(d x + c\right)} + b\right)}}\right)}}{d}"," ",0,"2*(a*arctan((b*e^(d*x + c) + a)/sqrt(-a^2 + b^2))/((a^2 - b^2)*sqrt(-a^2 + b^2)) + (a*e^(d*x + c) + b)/((a^2 - b^2)*(b*e^(2*d*x + 2*c) + 2*a*e^(d*x + c) + b)))/d","A",0
69,1,195,0,0.148810," ","integrate(1/(a+b*cosh(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{{\left(2 \, a^{2} + b^{2}\right)} \arctan\left(\frac{b e^{\left(d x + c\right)} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{-a^{2} + b^{2}}} + \frac{2 \, a^{2} b e^{\left(3 \, d x + 3 \, c\right)} + b^{3} e^{\left(3 \, d x + 3 \, c\right)} + 6 \, a^{3} e^{\left(2 \, d x + 2 \, c\right)} + 3 \, a b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 10 \, a^{2} b e^{\left(d x + c\right)} - b^{3} e^{\left(d x + c\right)} + 3 \, a b^{2}}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a e^{\left(d x + c\right)} + b\right)}^{2}}}{d}"," ",0,"((2*a^2 + b^2)*arctan((b*e^(d*x + c) + a)/sqrt(-a^2 + b^2))/((a^4 - 2*a^2*b^2 + b^4)*sqrt(-a^2 + b^2)) + (2*a^2*b*e^(3*d*x + 3*c) + b^3*e^(3*d*x + 3*c) + 6*a^3*e^(2*d*x + 2*c) + 3*a*b^2*e^(2*d*x + 2*c) + 10*a^2*b*e^(d*x + c) - b^3*e^(d*x + c) + 3*a*b^2)/((a^4 - 2*a^2*b^2 + b^4)*(b*e^(2*d*x + 2*c) + 2*a*e^(d*x + c) + b)^2))/d","A",0
70,1,329,0,0.136872," ","integrate(1/(a+b*cosh(d*x+c))^4,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(2 \, a^{3} + 3 \, a b^{2}\right)} \arctan\left(\frac{b e^{\left(d x + c\right)} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sqrt{-a^{2} + b^{2}}} + \frac{6 \, a^{3} b^{2} e^{\left(5 \, d x + 5 \, c\right)} + 9 \, a b^{4} e^{\left(5 \, d x + 5 \, c\right)} + 30 \, a^{4} b e^{\left(4 \, d x + 4 \, c\right)} + 45 \, a^{2} b^{3} e^{\left(4 \, d x + 4 \, c\right)} + 44 \, a^{5} e^{\left(3 \, d x + 3 \, c\right)} + 82 \, a^{3} b^{2} e^{\left(3 \, d x + 3 \, c\right)} + 24 \, a b^{4} e^{\left(3 \, d x + 3 \, c\right)} + 102 \, a^{4} b e^{\left(2 \, d x + 2 \, c\right)} + 36 \, a^{2} b^{3} e^{\left(2 \, d x + 2 \, c\right)} + 12 \, b^{5} e^{\left(2 \, d x + 2 \, c\right)} + 60 \, a^{3} b^{2} e^{\left(d x + c\right)} + 15 \, a b^{4} e^{\left(d x + c\right)} + 11 \, a^{2} b^{3} + 4 \, b^{5}}{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} {\left(b e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a e^{\left(d x + c\right)} + b\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*(2*a^3 + 3*a*b^2)*arctan((b*e^(d*x + c) + a)/sqrt(-a^2 + b^2))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sqrt(-a^2 + b^2)) + (6*a^3*b^2*e^(5*d*x + 5*c) + 9*a*b^4*e^(5*d*x + 5*c) + 30*a^4*b*e^(4*d*x + 4*c) + 45*a^2*b^3*e^(4*d*x + 4*c) + 44*a^5*e^(3*d*x + 3*c) + 82*a^3*b^2*e^(3*d*x + 3*c) + 24*a*b^4*e^(3*d*x + 3*c) + 102*a^4*b*e^(2*d*x + 2*c) + 36*a^2*b^3*e^(2*d*x + 2*c) + 12*b^5*e^(2*d*x + 2*c) + 60*a^3*b^2*e^(d*x + c) + 15*a*b^4*e^(d*x + c) + 11*a^2*b^3 + 4*b^5)/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*(b*e^(2*d*x + 2*c) + 2*a*e^(d*x + c) + b)^3))/d","A",0
71,1,16,0,0.135165," ","integrate(1/(3+5*cosh(d*x+c)),x, algorithm=""giac"")","\frac{\arctan\left(\frac{5}{4} \, e^{\left(d x + c\right)} + \frac{3}{4}\right)}{2 \, d}"," ",0,"1/2*arctan(5/4*e^(d*x + c) + 3/4)/d","A",0
72,1,54,0,0.119756," ","integrate(1/(3+5*cosh(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(3 \, e^{\left(d x + c\right)} + 5\right)}}{5 \, e^{\left(2 \, d x + 2 \, c\right)} + 6 \, e^{\left(d x + c\right)} + 5} + 3 \, \arctan\left(\frac{5}{4} \, e^{\left(d x + c\right)} + \frac{3}{4}\right)}{32 \, d}"," ",0,"-1/32*(4*(3*e^(d*x + c) + 5)/(5*e^(2*d*x + 2*c) + 6*e^(d*x + c) + 5) + 3*arctan(5/4*e^(d*x + c) + 3/4))/d","A",0
73,1,76,0,0.119993," ","integrate(1/(3+5*cosh(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{4 \, {\left(215 \, e^{\left(3 \, d x + 3 \, c\right)} + 387 \, e^{\left(2 \, d x + 2 \, c\right)} + 325 \, e^{\left(d x + c\right)} + 225\right)}}{{\left(5 \, e^{\left(2 \, d x + 2 \, c\right)} + 6 \, e^{\left(d x + c\right)} + 5\right)}^{2}} + 43 \, \arctan\left(\frac{5}{4} \, e^{\left(d x + c\right)} + \frac{3}{4}\right)}{1024 \, d}"," ",0,"1/1024*(4*(215*e^(3*d*x + 3*c) + 387*e^(2*d*x + 2*c) + 325*e^(d*x + c) + 225)/(5*e^(2*d*x + 2*c) + 6*e^(d*x + c) + 5)^2 + 43*arctan(5/4*e^(d*x + c) + 3/4))/d","A",0
74,1,98,0,0.145256," ","integrate(1/(3+5*cosh(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(20925 \, e^{\left(5 \, d x + 5 \, c\right)} + 62775 \, e^{\left(4 \, d x + 4 \, c\right)} + 111042 \, e^{\left(3 \, d x + 3 \, c\right)} + 119310 \, e^{\left(2 \, d x + 2 \, c\right)} + 68625 \, e^{\left(d x + c\right)} + 24875\right)}}{{\left(5 \, e^{\left(2 \, d x + 2 \, c\right)} + 6 \, e^{\left(d x + c\right)} + 5\right)}^{3}} + 837 \, \arctan\left(\frac{5}{4} \, e^{\left(d x + c\right)} + \frac{3}{4}\right)}{49152 \, d}"," ",0,"-1/49152*(4*(20925*e^(5*d*x + 5*c) + 62775*e^(4*d*x + 4*c) + 111042*e^(3*d*x + 3*c) + 119310*e^(2*d*x + 2*c) + 68625*e^(d*x + c) + 24875)/(5*e^(2*d*x + 2*c) + 6*e^(d*x + c) + 5)^3 + 837*arctan(5/4*e^(d*x + c) + 3/4))/d","A",0
75,1,28,0,0.119322," ","integrate(1/(5+3*cosh(d*x+c)),x, algorithm=""giac"")","\frac{\log\left(3 \, e^{\left(d x + c\right)} + 1\right) - \log\left(e^{\left(d x + c\right)} + 3\right)}{4 \, d}"," ",0,"1/4*(log(3*e^(d*x + c) + 1) - log(e^(d*x + c) + 3))/d","A",0
76,1,65,0,0.138856," ","integrate(1/(5+3*cosh(d*x+c))^2,x, algorithm=""giac"")","\frac{\frac{8 \, {\left(5 \, e^{\left(d x + c\right)} + 3\right)}}{3 \, e^{\left(2 \, d x + 2 \, c\right)} + 10 \, e^{\left(d x + c\right)} + 3} + 5 \, \log\left(3 \, e^{\left(d x + c\right)} + 1\right) - 5 \, \log\left(e^{\left(d x + c\right)} + 3\right)}{64 \, d}"," ",0,"1/64*(8*(5*e^(d*x + c) + 3)/(3*e^(2*d*x + 2*c) + 10*e^(d*x + c) + 3) + 5*log(3*e^(d*x + c) + 1) - 5*log(e^(d*x + c) + 3))/d","A",0
77,1,87,0,0.125273," ","integrate(1/(5+3*cosh(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{24 \, {\left(59 \, e^{\left(3 \, d x + 3 \, c\right)} + 295 \, e^{\left(2 \, d x + 2 \, c\right)} + 241 \, e^{\left(d x + c\right)} + 45\right)}}{{\left(3 \, e^{\left(2 \, d x + 2 \, c\right)} + 10 \, e^{\left(d x + c\right)} + 3\right)}^{2}} + 59 \, \log\left(3 \, e^{\left(d x + c\right)} + 1\right) - 59 \, \log\left(e^{\left(d x + c\right)} + 3\right)}{2048 \, d}"," ",0,"1/2048*(24*(59*e^(3*d*x + 3*c) + 295*e^(2*d*x + 2*c) + 241*e^(d*x + c) + 45)/(3*e^(2*d*x + 2*c) + 10*e^(d*x + c) + 3)^2 + 59*log(3*e^(d*x + c) + 1) - 59*log(e^(d*x + c) + 3))/d","A",0
78,1,109,0,0.121729," ","integrate(1/(5+3*cosh(d*x+c))^4,x, algorithm=""giac"")","\frac{\frac{8 \, {\left(10395 \, e^{\left(5 \, d x + 5 \, c\right)} + 86625 \, e^{\left(4 \, d x + 4 \, c\right)} + 239470 \, e^{\left(3 \, d x + 3 \, c\right)} + 218466 \, e^{\left(2 \, d x + 2 \, c\right)} + 73575 \, e^{\left(d x + c\right)} + 8397\right)}}{{\left(3 \, e^{\left(2 \, d x + 2 \, c\right)} + 10 \, e^{\left(d x + c\right)} + 3\right)}^{3}} + 1155 \, \log\left(3 \, e^{\left(d x + c\right)} + 1\right) - 1155 \, \log\left(e^{\left(d x + c\right)} + 3\right)}{98304 \, d}"," ",0,"1/98304*(8*(10395*e^(5*d*x + 5*c) + 86625*e^(4*d*x + 4*c) + 239470*e^(3*d*x + 3*c) + 218466*e^(2*d*x + 2*c) + 73575*e^(d*x + c) + 8397)/(3*e^(2*d*x + 2*c) + 10*e^(d*x + c) + 3)^3 + 1155*log(3*e^(d*x + c) + 1) - 1155*log(e^(d*x + c) + 3))/d","A",0
79,0,0,0,0.000000," ","integrate((a+b*cosh(x))^(5/2),x, algorithm=""giac"")","\int {\left(b \cosh\left(x\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*cosh(x) + a)^(5/2), x)","F",0
80,0,0,0,0.000000," ","integrate((a+b*cosh(x))^(3/2),x, algorithm=""giac"")","\int {\left(b \cosh\left(x\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*cosh(x) + a)^(3/2), x)","F",0
81,0,0,0,0.000000," ","integrate((a+b*cosh(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \cosh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*cosh(d*x + c) + a), x)","F",0
82,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \cosh\left(x\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*cosh(x) + a), x)","F",0
83,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \cosh\left(x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*cosh(x) + a)^(-3/2), x)","F",0
84,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \cosh\left(x\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*cosh(x) + a)^(-5/2), x)","F",0
85,0,0,0,0.000000," ","integrate(1/(a+b*cosh(x))^(7/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \cosh\left(x\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*cosh(x) + a)^(-7/2), x)","F",0
86,0,0,0,0.000000," ","integrate(cosh(x)/(a+b*cosh(x))^(1/2),x, algorithm=""giac"")","\int \frac{\cosh\left(x\right)}{\sqrt{b \cosh\left(x\right) + a}}\,{d x}"," ",0,"integrate(cosh(x)/sqrt(b*cosh(x) + a), x)","F",0
87,1,153,0,0.144975," ","integrate((a+a*cosh(x))^(5/2)*(A+B*cosh(x)),x, algorithm=""giac"")","-\frac{1}{840} \, \sqrt{2} {\left(\frac{{\left(2100 \, A a^{6} e^{\left(3 \, x\right)} + 1575 \, B a^{6} e^{\left(3 \, x\right)} + 350 \, A a^{6} e^{\left(2 \, x\right)} + 385 \, B a^{6} e^{\left(2 \, x\right)} + 42 \, A a^{6} e^{x} + 105 \, B a^{6} e^{x} + 15 \, B a^{6}\right)} e^{\left(-\frac{7}{2} \, x\right)}}{a^{\frac{7}{2}}} - \frac{15 \, B a^{\frac{19}{2}} e^{\left(\frac{7}{2} \, x\right)} + 42 \, A a^{\frac{19}{2}} e^{\left(\frac{5}{2} \, x\right)} + 105 \, B a^{\frac{19}{2}} e^{\left(\frac{5}{2} \, x\right)} + 350 \, A a^{\frac{19}{2}} e^{\left(\frac{3}{2} \, x\right)} + 385 \, B a^{\frac{19}{2}} e^{\left(\frac{3}{2} \, x\right)} + 2100 \, A a^{\frac{19}{2}} e^{\left(\frac{1}{2} \, x\right)} + 1575 \, B a^{\frac{19}{2}} e^{\left(\frac{1}{2} \, x\right)}}{a^{7}}\right)}"," ",0,"-1/840*sqrt(2)*((2100*A*a^6*e^(3*x) + 1575*B*a^6*e^(3*x) + 350*A*a^6*e^(2*x) + 385*B*a^6*e^(2*x) + 42*A*a^6*e^x + 105*B*a^6*e^x + 15*B*a^6)*e^(-7/2*x)/a^(7/2) - (15*B*a^(19/2)*e^(7/2*x) + 42*A*a^(19/2)*e^(5/2*x) + 105*B*a^(19/2)*e^(5/2*x) + 350*A*a^(19/2)*e^(3/2*x) + 385*B*a^(19/2)*e^(3/2*x) + 2100*A*a^(19/2)*e^(1/2*x) + 1575*B*a^(19/2)*e^(1/2*x))/a^7)","A",0
88,1,113,0,0.127673," ","integrate((a+a*cosh(x))^(3/2)*(A+B*cosh(x)),x, algorithm=""giac"")","-\frac{1}{60} \, \sqrt{2} {\left(\frac{{\left(90 \, A a^{4} e^{\left(2 \, x\right)} + 60 \, B a^{4} e^{\left(2 \, x\right)} + 10 \, A a^{4} e^{x} + 15 \, B a^{4} e^{x} + 3 \, B a^{4}\right)} e^{\left(-\frac{5}{2} \, x\right)}}{a^{\frac{5}{2}}} - \frac{3 \, B a^{\frac{13}{2}} e^{\left(\frac{5}{2} \, x\right)} + 10 \, A a^{\frac{13}{2}} e^{\left(\frac{3}{2} \, x\right)} + 15 \, B a^{\frac{13}{2}} e^{\left(\frac{3}{2} \, x\right)} + 90 \, A a^{\frac{13}{2}} e^{\left(\frac{1}{2} \, x\right)} + 60 \, B a^{\frac{13}{2}} e^{\left(\frac{1}{2} \, x\right)}}{a^{5}}\right)}"," ",0,"-1/60*sqrt(2)*((90*A*a^4*e^(2*x) + 60*B*a^4*e^(2*x) + 10*A*a^4*e^x + 15*B*a^4*e^x + 3*B*a^4)*e^(-5/2*x)/a^(5/2) - (3*B*a^(13/2)*e^(5/2*x) + 10*A*a^(13/2)*e^(3/2*x) + 15*B*a^(13/2)*e^(3/2*x) + 90*A*a^(13/2)*e^(1/2*x) + 60*B*a^(13/2)*e^(1/2*x))/a^5)","B",0
89,1,71,0,0.145019," ","integrate((a+a*cosh(x))^(1/2)*(A+B*cosh(x)),x, algorithm=""giac"")","-\frac{1}{6} \, \sqrt{2} {\left(\frac{{\left(6 \, A a^{2} e^{x} + 3 \, B a^{2} e^{x} + B a^{2}\right)} e^{\left(-\frac{3}{2} \, x\right)}}{a^{\frac{3}{2}}} - \frac{B a^{\frac{7}{2}} e^{\left(\frac{3}{2} \, x\right)} + 6 \, A a^{\frac{7}{2}} e^{\left(\frac{1}{2} \, x\right)} + 3 \, B a^{\frac{7}{2}} e^{\left(\frac{1}{2} \, x\right)}}{a^{3}}\right)}"," ",0,"-1/6*sqrt(2)*((6*A*a^2*e^x + 3*B*a^2*e^x + B*a^2)*e^(-3/2*x)/a^(3/2) - (B*a^(7/2)*e^(3/2*x) + 6*A*a^(7/2)*e^(1/2*x) + 3*B*a^(7/2)*e^(1/2*x))/a^3)","B",0
90,1,295,0,0.191161," ","integrate((a-a*cosh(x))^(5/2)*(A+B*cosh(x)),x, algorithm=""giac"")","\frac{1}{840} \, \sqrt{2} {\left(\frac{{\left(2100 \, A a^{6} e^{\left(3 \, x\right)} \mathrm{sgn}\left(-e^{x} + 1\right) - 1575 \, B a^{6} e^{\left(3 \, x\right)} \mathrm{sgn}\left(-e^{x} + 1\right) - 350 \, A a^{6} e^{\left(2 \, x\right)} \mathrm{sgn}\left(-e^{x} + 1\right) + 385 \, B a^{6} e^{\left(2 \, x\right)} \mathrm{sgn}\left(-e^{x} + 1\right) + 42 \, A a^{6} e^{x} \mathrm{sgn}\left(-e^{x} + 1\right) - 105 \, B a^{6} e^{x} \mathrm{sgn}\left(-e^{x} + 1\right) + 15 \, B a^{6} \mathrm{sgn}\left(-e^{x} + 1\right)\right)} e^{\left(-3 \, x\right)}}{\sqrt{-a e^{x}} a^{3}} - \frac{15 \, \sqrt{-a e^{x}} B a^{9} e^{\left(3 \, x\right)} \mathrm{sgn}\left(-e^{x} + 1\right) + 42 \, \sqrt{-a e^{x}} A a^{9} e^{\left(2 \, x\right)} \mathrm{sgn}\left(-e^{x} + 1\right) - 105 \, \sqrt{-a e^{x}} B a^{9} e^{\left(2 \, x\right)} \mathrm{sgn}\left(-e^{x} + 1\right) - 350 \, \sqrt{-a e^{x}} A a^{9} e^{x} \mathrm{sgn}\left(-e^{x} + 1\right) + 385 \, \sqrt{-a e^{x}} B a^{9} e^{x} \mathrm{sgn}\left(-e^{x} + 1\right) + 2100 \, \sqrt{-a e^{x}} A a^{9} \mathrm{sgn}\left(-e^{x} + 1\right) - 1575 \, \sqrt{-a e^{x}} B a^{9} \mathrm{sgn}\left(-e^{x} + 1\right)}{a^{7}}\right)}"," ",0,"1/840*sqrt(2)*((2100*A*a^6*e^(3*x)*sgn(-e^x + 1) - 1575*B*a^6*e^(3*x)*sgn(-e^x + 1) - 350*A*a^6*e^(2*x)*sgn(-e^x + 1) + 385*B*a^6*e^(2*x)*sgn(-e^x + 1) + 42*A*a^6*e^x*sgn(-e^x + 1) - 105*B*a^6*e^x*sgn(-e^x + 1) + 15*B*a^6*sgn(-e^x + 1))*e^(-3*x)/(sqrt(-a*e^x)*a^3) - (15*sqrt(-a*e^x)*B*a^9*e^(3*x)*sgn(-e^x + 1) + 42*sqrt(-a*e^x)*A*a^9*e^(2*x)*sgn(-e^x + 1) - 105*sqrt(-a*e^x)*B*a^9*e^(2*x)*sgn(-e^x + 1) - 350*sqrt(-a*e^x)*A*a^9*e^x*sgn(-e^x + 1) + 385*sqrt(-a*e^x)*B*a^9*e^x*sgn(-e^x + 1) + 2100*sqrt(-a*e^x)*A*a^9*sgn(-e^x + 1) - 1575*sqrt(-a*e^x)*B*a^9*sgn(-e^x + 1))/a^7)","B",0
91,1,212,0,0.152503," ","integrate((a-a*cosh(x))^(3/2)*(A+B*cosh(x)),x, algorithm=""giac"")","\frac{1}{60} \, \sqrt{2} {\left(\frac{{\left(90 \, A a^{4} e^{\left(2 \, x\right)} \mathrm{sgn}\left(-e^{x} + 1\right) - 60 \, B a^{4} e^{\left(2 \, x\right)} \mathrm{sgn}\left(-e^{x} + 1\right) - 10 \, A a^{4} e^{x} \mathrm{sgn}\left(-e^{x} + 1\right) + 15 \, B a^{4} e^{x} \mathrm{sgn}\left(-e^{x} + 1\right) - 3 \, B a^{4} \mathrm{sgn}\left(-e^{x} + 1\right)\right)} e^{\left(-2 \, x\right)}}{\sqrt{-a e^{x}} a^{2}} + \frac{3 \, \sqrt{-a e^{x}} B a^{6} e^{\left(2 \, x\right)} \mathrm{sgn}\left(-e^{x} + 1\right) + 10 \, \sqrt{-a e^{x}} A a^{6} e^{x} \mathrm{sgn}\left(-e^{x} + 1\right) - 15 \, \sqrt{-a e^{x}} B a^{6} e^{x} \mathrm{sgn}\left(-e^{x} + 1\right) - 90 \, \sqrt{-a e^{x}} A a^{6} \mathrm{sgn}\left(-e^{x} + 1\right) + 60 \, \sqrt{-a e^{x}} B a^{6} \mathrm{sgn}\left(-e^{x} + 1\right)}{a^{5}}\right)}"," ",0,"1/60*sqrt(2)*((90*A*a^4*e^(2*x)*sgn(-e^x + 1) - 60*B*a^4*e^(2*x)*sgn(-e^x + 1) - 10*A*a^4*e^x*sgn(-e^x + 1) + 15*B*a^4*e^x*sgn(-e^x + 1) - 3*B*a^4*sgn(-e^x + 1))*e^(-2*x)/(sqrt(-a*e^x)*a^2) + (3*sqrt(-a*e^x)*B*a^6*e^(2*x)*sgn(-e^x + 1) + 10*sqrt(-a*e^x)*A*a^6*e^x*sgn(-e^x + 1) - 15*sqrt(-a*e^x)*B*a^6*e^x*sgn(-e^x + 1) - 90*sqrt(-a*e^x)*A*a^6*sgn(-e^x + 1) + 60*sqrt(-a*e^x)*B*a^6*sgn(-e^x + 1))/a^5)","B",0
92,1,131,0,0.151401," ","integrate((a-a*cosh(x))^(1/2)*(A+B*cosh(x)),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{2} {\left(\frac{{\left(6 \, A a^{2} e^{x} \mathrm{sgn}\left(-e^{x} + 1\right) - 3 \, B a^{2} e^{x} \mathrm{sgn}\left(-e^{x} + 1\right) + B a^{2} \mathrm{sgn}\left(-e^{x} + 1\right)\right)} e^{\left(-x\right)}}{\sqrt{-a e^{x}} a} - \frac{\sqrt{-a e^{x}} B a^{3} e^{x} \mathrm{sgn}\left(-e^{x} + 1\right) + 6 \, \sqrt{-a e^{x}} A a^{3} \mathrm{sgn}\left(-e^{x} + 1\right) - 3 \, \sqrt{-a e^{x}} B a^{3} \mathrm{sgn}\left(-e^{x} + 1\right)}{a^{3}}\right)}"," ",0,"1/6*sqrt(2)*((6*A*a^2*e^x*sgn(-e^x + 1) - 3*B*a^2*e^x*sgn(-e^x + 1) + B*a^2*sgn(-e^x + 1))*e^(-x)/(sqrt(-a*e^x)*a) - (sqrt(-a*e^x)*B*a^3*e^x*sgn(-e^x + 1) + 6*sqrt(-a*e^x)*A*a^3*sgn(-e^x + 1) - 3*sqrt(-a*e^x)*B*a^3*sgn(-e^x + 1))/a^3)","B",0
93,1,17,0,0.117949," ","integrate((A+B*cosh(x))/(1+cosh(x)),x, algorithm=""giac"")","B x - \frac{2 \, {\left(A - B\right)}}{e^{x} + 1}"," ",0,"B*x - 2*(A - B)/(e^x + 1)","A",0
94,1,30,0,0.118451," ","integrate((A+B*cosh(x))/(1+cosh(x))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, B e^{\left(2 \, x\right)} + 3 \, A e^{x} + 3 \, B e^{x} + A + 2 \, B\right)}}{3 \, {\left(e^{x} + 1\right)}^{3}}"," ",0,"-2/3*(3*B*e^(2*x) + 3*A*e^x + 3*B*e^x + A + 2*B)/(e^x + 1)^3","A",0
95,1,46,0,0.115791," ","integrate((A+B*cosh(x))/(1+cosh(x))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, B e^{\left(3 \, x\right)} + 20 \, A e^{\left(2 \, x\right)} + 15 \, B e^{\left(2 \, x\right)} + 10 \, A e^{x} + 15 \, B e^{x} + 2 \, A + 3 \, B\right)}}{15 \, {\left(e^{x} + 1\right)}^{5}}"," ",0,"-2/15*(15*B*e^(3*x) + 20*A*e^(2*x) + 15*B*e^(2*x) + 10*A*e^x + 15*B*e^x + 2*A + 3*B)/(e^x + 1)^5","A",0
96,1,60,0,0.120066," ","integrate((A+B*cosh(x))/(1+cosh(x))^4,x, algorithm=""giac"")","-\frac{4 \, {\left(70 \, B e^{\left(4 \, x\right)} + 105 \, A e^{\left(3 \, x\right)} + 70 \, B e^{\left(3 \, x\right)} + 63 \, A e^{\left(2 \, x\right)} + 84 \, B e^{\left(2 \, x\right)} + 21 \, A e^{x} + 28 \, B e^{x} + 3 \, A + 4 \, B\right)}}{105 \, {\left(e^{x} + 1\right)}^{7}}"," ",0,"-4/105*(70*B*e^(4*x) + 105*A*e^(3*x) + 70*B*e^(3*x) + 63*A*e^(2*x) + 84*B*e^(2*x) + 21*A*e^x + 28*B*e^x + 3*A + 4*B)/(e^x + 1)^7","A",0
97,1,16,0,0.130283," ","integrate((A+B*cosh(x))/(1-cosh(x)),x, algorithm=""giac"")","-B x + \frac{2 \, {\left(A + B\right)}}{e^{x} - 1}"," ",0,"-B*x + 2*(A + B)/(e^x - 1)","A",0
98,1,32,0,0.113955," ","integrate((A+B*cosh(x))/(1-cosh(x))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, B e^{\left(2 \, x\right)} + 3 \, A e^{x} - 3 \, B e^{x} - A + 2 \, B\right)}}{3 \, {\left(e^{x} - 1\right)}^{3}}"," ",0,"-2/3*(3*B*e^(2*x) + 3*A*e^x - 3*B*e^x - A + 2*B)/(e^x - 1)^3","A",0
99,1,46,0,0.113405," ","integrate((A+B*cosh(x))/(1-cosh(x))^3,x, algorithm=""giac"")","\frac{2 \, {\left(15 \, B e^{\left(3 \, x\right)} + 20 \, A e^{\left(2 \, x\right)} - 15 \, B e^{\left(2 \, x\right)} - 10 \, A e^{x} + 15 \, B e^{x} + 2 \, A - 3 \, B\right)}}{15 \, {\left(e^{x} - 1\right)}^{5}}"," ",0,"2/15*(15*B*e^(3*x) + 20*A*e^(2*x) - 15*B*e^(2*x) - 10*A*e^x + 15*B*e^x + 2*A - 3*B)/(e^x - 1)^5","A",0
100,1,60,0,0.116105," ","integrate((A+B*cosh(x))/(1-cosh(x))^4,x, algorithm=""giac"")","-\frac{4 \, {\left(70 \, B e^{\left(4 \, x\right)} + 105 \, A e^{\left(3 \, x\right)} - 70 \, B e^{\left(3 \, x\right)} - 63 \, A e^{\left(2 \, x\right)} + 84 \, B e^{\left(2 \, x\right)} + 21 \, A e^{x} - 28 \, B e^{x} - 3 \, A + 4 \, B\right)}}{105 \, {\left(e^{x} - 1\right)}^{7}}"," ",0,"-4/105*(70*B*e^(4*x) + 105*A*e^(3*x) - 70*B*e^(3*x) - 63*A*e^(2*x) + 84*B*e^(2*x) + 21*A*e^x - 28*B*e^x - 3*A + 4*B)/(e^x - 1)^7","A",0
101,1,61,0,0.153180," ","integrate((A+B*cosh(x))/(a+a*cosh(x))^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{2} {\left(\frac{8 \, {\left(A - B\right)} \arctan\left(e^{\left(\frac{1}{2} \, x\right)}\right)}{\sqrt{a}} + \frac{4 \, B e^{\left(\frac{1}{2} \, x\right)}}{\sqrt{a}} - \frac{4 \, B e^{\left(-\frac{1}{2} \, x\right)}}{\sqrt{a}} + \frac{-8 i \, A \arctan\left(-i\right) + 8 i \, B \arctan\left(-i\right) - 8 \, B}{\sqrt{-a}}\right)}"," ",0,"1/4*sqrt(2)*(8*(A - B)*arctan(e^(1/2*x))/sqrt(a) + 4*B*e^(1/2*x)/sqrt(a) - 4*B*e^(-1/2*x)/sqrt(a) + (-8*I*A*arctan(-I) + 8*I*B*arctan(-I) - 8*B)/sqrt(-a))","C",0
102,1,78,0,0.176422," ","integrate((A+B*cosh(x))/(a+a*cosh(x))^(3/2),x, algorithm=""giac"")","\frac{{\left(\sqrt{2} A + 3 \, \sqrt{2} B\right)} \arctan\left(e^{\left(\frac{1}{2} \, x\right)}\right)}{2 \, a^{\frac{3}{2}}} + \frac{\sqrt{2} {\left(A a^{\frac{3}{2}} e^{\left(\frac{3}{2} \, x\right)} - B a^{\frac{3}{2}} e^{\left(\frac{3}{2} \, x\right)} - A a^{\frac{3}{2}} e^{\left(\frac{1}{2} \, x\right)} + B a^{\frac{3}{2}} e^{\left(\frac{1}{2} \, x\right)}\right)}}{2 \, {\left(a e^{x} + a\right)}^{2} a}"," ",0,"1/2*(sqrt(2)*A + 3*sqrt(2)*B)*arctan(e^(1/2*x))/a^(3/2) + 1/2*sqrt(2)*(A*a^(3/2)*e^(3/2*x) - B*a^(3/2)*e^(3/2*x) - A*a^(3/2)*e^(1/2*x) + B*a^(3/2)*e^(1/2*x))/((a*e^x + a)^2*a)","A",0
103,1,118,0,0.224503," ","integrate((A+B*cosh(x))/(a+a*cosh(x))^(5/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(3 \, A + 5 \, B\right)} \arctan\left(e^{\left(\frac{1}{2} \, x\right)}\right)}{16 \, a^{\frac{5}{2}}} + \frac{\sqrt{2} {\left(3 \, A a^{\frac{7}{2}} e^{\left(\frac{7}{2} \, x\right)} + 5 \, B a^{\frac{7}{2}} e^{\left(\frac{7}{2} \, x\right)} + 11 \, A a^{\frac{7}{2}} e^{\left(\frac{5}{2} \, x\right)} - 3 \, B a^{\frac{7}{2}} e^{\left(\frac{5}{2} \, x\right)} - 11 \, A a^{\frac{7}{2}} e^{\left(\frac{3}{2} \, x\right)} + 3 \, B a^{\frac{7}{2}} e^{\left(\frac{3}{2} \, x\right)} - 3 \, A a^{\frac{7}{2}} e^{\left(\frac{1}{2} \, x\right)} - 5 \, B a^{\frac{7}{2}} e^{\left(\frac{1}{2} \, x\right)}\right)}}{16 \, {\left(a e^{x} + a\right)}^{4} a^{2}}"," ",0,"1/16*sqrt(2)*(3*A + 5*B)*arctan(e^(1/2*x))/a^(5/2) + 1/16*sqrt(2)*(3*A*a^(7/2)*e^(7/2*x) + 5*B*a^(7/2)*e^(7/2*x) + 11*A*a^(7/2)*e^(5/2*x) - 3*B*a^(7/2)*e^(5/2*x) - 11*A*a^(7/2)*e^(3/2*x) + 3*B*a^(7/2)*e^(3/2*x) - 3*A*a^(7/2)*e^(1/2*x) - 5*B*a^(7/2)*e^(1/2*x))/((a*e^x + a)^4*a^2)","A",0
104,1,103,0,0.156981," ","integrate((A+B*cosh(x))/(a-a*cosh(x))^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{2} {\left(\frac{{\left(-8 i \, A \arctan\left(-i\right) - 8 i \, B \arctan\left(-i\right) + 8 \, B\right)} \mathrm{sgn}\left(-e^{x} + 1\right)}{\sqrt{-a}} - \frac{8 \, {\left(A + B\right)} \arctan\left(\frac{\sqrt{-a e^{x}}}{\sqrt{a}}\right)}{\sqrt{a} \mathrm{sgn}\left(-e^{x} + 1\right)} - \frac{4 \, B}{\sqrt{-a e^{x}} \mathrm{sgn}\left(-e^{x} + 1\right)} + \frac{4 \, \sqrt{-a e^{x}} B}{a \mathrm{sgn}\left(-e^{x} + 1\right)}\right)}"," ",0,"1/4*sqrt(2)*((-8*I*A*arctan(-I) - 8*I*B*arctan(-I) + 8*B)*sgn(-e^x + 1)/sqrt(-a) - 8*(A + B)*arctan(sqrt(-a*e^x)/sqrt(a))/(sqrt(a)*sgn(-e^x + 1)) - 4*B/(sqrt(-a*e^x)*sgn(-e^x + 1)) + 4*sqrt(-a*e^x)*B/(a*sgn(-e^x + 1)))","C",0
105,1,111,0,0.188198," ","integrate((A+B*cosh(x))/(a-a*cosh(x))^(3/2),x, algorithm=""giac"")","-\frac{{\left(\sqrt{2} A - 3 \, \sqrt{2} B\right)} \arctan\left(\frac{\sqrt{-a e^{x}}}{\sqrt{a}}\right)}{2 \, a^{\frac{3}{2}} \mathrm{sgn}\left(-e^{x} + 1\right)} + \frac{\sqrt{2} {\left(\sqrt{-a e^{x}} A a e^{x} + \sqrt{-a e^{x}} B a e^{x} + \sqrt{-a e^{x}} A a + \sqrt{-a e^{x}} B a\right)}}{2 \, {\left(a e^{x} - a\right)}^{2} a \mathrm{sgn}\left(-e^{x} + 1\right)}"," ",0,"-1/2*(sqrt(2)*A - 3*sqrt(2)*B)*arctan(sqrt(-a*e^x)/sqrt(a))/(a^(3/2)*sgn(-e^x + 1)) + 1/2*sqrt(2)*(sqrt(-a*e^x)*A*a*e^x + sqrt(-a*e^x)*B*a*e^x + sqrt(-a*e^x)*A*a + sqrt(-a*e^x)*B*a)/((a*e^x - a)^2*a*sgn(-e^x + 1))","B",0
106,1,189,0,0.240021," ","integrate((A+B*cosh(x))/(a-a*cosh(x))^(5/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(3 \, A - 5 \, B\right)} \arctan\left(\frac{\sqrt{-a e^{x}}}{\sqrt{a}}\right)}{16 \, a^{\frac{5}{2}} \mathrm{sgn}\left(-e^{x} + 1\right)} + \frac{\sqrt{2} {\left(3 \, \sqrt{-a e^{x}} A a^{3} e^{\left(3 \, x\right)} - 5 \, \sqrt{-a e^{x}} B a^{3} e^{\left(3 \, x\right)} - 11 \, \sqrt{-a e^{x}} A a^{3} e^{\left(2 \, x\right)} - 3 \, \sqrt{-a e^{x}} B a^{3} e^{\left(2 \, x\right)} - 11 \, \sqrt{-a e^{x}} A a^{3} e^{x} - 3 \, \sqrt{-a e^{x}} B a^{3} e^{x} + 3 \, \sqrt{-a e^{x}} A a^{3} - 5 \, \sqrt{-a e^{x}} B a^{3}\right)}}{16 \, {\left(a e^{x} - a\right)}^{4} a^{2} \mathrm{sgn}\left(-e^{x} + 1\right)}"," ",0,"-1/16*sqrt(2)*(3*A - 5*B)*arctan(sqrt(-a*e^x)/sqrt(a))/(a^(5/2)*sgn(-e^x + 1)) + 1/16*sqrt(2)*(3*sqrt(-a*e^x)*A*a^3*e^(3*x) - 5*sqrt(-a*e^x)*B*a^3*e^(3*x) - 11*sqrt(-a*e^x)*A*a^3*e^(2*x) - 3*sqrt(-a*e^x)*B*a^3*e^(2*x) - 11*sqrt(-a*e^x)*A*a^3*e^x - 3*sqrt(-a*e^x)*B*a^3*e^x + 3*sqrt(-a*e^x)*A*a^3 - 5*sqrt(-a*e^x)*B*a^3)/((a*e^x - a)^4*a^2*sgn(-e^x + 1))","B",0
107,0,0,0,0.000000," ","integrate((a+b*cosh(x))^(5/2)*(A+B*cosh(x)),x, algorithm=""giac"")","\int {\left(B \cosh\left(x\right) + A\right)} {\left(b \cosh\left(x\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*cosh(x) + A)*(b*cosh(x) + a)^(5/2), x)","F",0
108,0,0,0,0.000000," ","integrate((a+b*cosh(x))^(3/2)*(A+B*cosh(x)),x, algorithm=""giac"")","\int {\left(B \cosh\left(x\right) + A\right)} {\left(b \cosh\left(x\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*cosh(x) + A)*(b*cosh(x) + a)^(3/2), x)","F",0
109,0,0,0,0.000000," ","integrate((a+b*cosh(x))^(1/2)*(A+B*cosh(x)),x, algorithm=""giac"")","\int {\left(B \cosh\left(x\right) + A\right)} \sqrt{b \cosh\left(x\right) + a}\,{d x}"," ",0,"integrate((B*cosh(x) + A)*sqrt(b*cosh(x) + a), x)","F",0
110,1,50,0,0.121493," ","integrate((A+B*cosh(x))/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{B x}{b} - \frac{2 \, {\left(B a - A b\right)} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} b}"," ",0,"B*x/b - 2*(B*a - A*b)*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b)","A",0
111,1,107,0,0.118710," ","integrate((A+B*cosh(x))/(a+b*cosh(x))^2,x, algorithm=""giac"")","\frac{2 \, {\left(A a - B b\right)} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)} \sqrt{-a^{2} + b^{2}}} - \frac{2 \, {\left(B a^{2} e^{x} - A a b e^{x} + B a b - A b^{2}\right)}}{{\left(a^{2} b - b^{3}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} + b\right)}}"," ",0,"2*(A*a - B*b)*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/((a^2 - b^2)*sqrt(-a^2 + b^2)) - 2*(B*a^2*e^x - A*a*b*e^x + B*a*b - A*b^2)/((a^2*b - b^3)*(b*e^(2*x) + 2*a*e^x + b))","A",0
112,1,249,0,0.135162," ","integrate((A+B*cosh(x))/(a+b*cosh(x))^3,x, algorithm=""giac"")","\frac{{\left(2 \, A a^{2} - 3 \, B a b + A b^{2}\right)} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{-a^{2} + b^{2}}} + \frac{2 \, A a^{2} b^{2} e^{\left(3 \, x\right)} - 3 \, B a b^{3} e^{\left(3 \, x\right)} + A b^{4} e^{\left(3 \, x\right)} - 2 \, B a^{4} e^{\left(2 \, x\right)} + 6 \, A a^{3} b e^{\left(2 \, x\right)} - 5 \, B a^{2} b^{2} e^{\left(2 \, x\right)} + 3 \, A a b^{3} e^{\left(2 \, x\right)} - 2 \, B b^{4} e^{\left(2 \, x\right)} - 4 \, B a^{3} b e^{x} + 10 \, A a^{2} b^{2} e^{x} - 5 \, B a b^{3} e^{x} - A b^{4} e^{x} - B a^{2} b^{2} + 3 \, A a b^{3} - 2 \, B b^{4}}{{\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} + b\right)}^{2}}"," ",0,"(2*A*a^2 - 3*B*a*b + A*b^2)*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/((a^4 - 2*a^2*b^2 + b^4)*sqrt(-a^2 + b^2)) + (2*A*a^2*b^2*e^(3*x) - 3*B*a*b^3*e^(3*x) + A*b^4*e^(3*x) - 2*B*a^4*e^(2*x) + 6*A*a^3*b*e^(2*x) - 5*B*a^2*b^2*e^(2*x) + 3*A*a*b^3*e^(2*x) - 2*B*b^4*e^(2*x) - 4*B*a^3*b*e^x + 10*A*a^2*b^2*e^x - 5*B*a*b^3*e^x - A*b^4*e^x - B*a^2*b^2 + 3*A*a*b^3 - 2*B*b^4)/((a^4*b - 2*a^2*b^3 + b^5)*(b*e^(2*x) + 2*a*e^x + b)^2)","B",0
113,1,453,0,0.154326," ","integrate((A+B*cosh(x))/(a+b*cosh(x))^4,x, algorithm=""giac"")","\frac{{\left(2 \, A a^{3} - 4 \, B a^{2} b + 3 \, A a b^{2} - B b^{3}\right)} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sqrt{-a^{2} + b^{2}}} + \frac{6 \, A a^{3} b^{3} e^{\left(5 \, x\right)} - 12 \, B a^{2} b^{4} e^{\left(5 \, x\right)} + 9 \, A a b^{5} e^{\left(5 \, x\right)} - 3 \, B b^{6} e^{\left(5 \, x\right)} + 30 \, A a^{4} b^{2} e^{\left(4 \, x\right)} - 60 \, B a^{3} b^{3} e^{\left(4 \, x\right)} + 45 \, A a^{2} b^{4} e^{\left(4 \, x\right)} - 15 \, B a b^{5} e^{\left(4 \, x\right)} - 8 \, B a^{6} e^{\left(3 \, x\right)} + 44 \, A a^{5} b e^{\left(3 \, x\right)} - 64 \, B a^{4} b^{2} e^{\left(3 \, x\right)} + 82 \, A a^{3} b^{3} e^{\left(3 \, x\right)} - 78 \, B a^{2} b^{4} e^{\left(3 \, x\right)} + 24 \, A a b^{5} e^{\left(3 \, x\right)} - 24 \, B a^{5} b e^{\left(2 \, x\right)} + 102 \, A a^{4} b^{2} e^{\left(2 \, x\right)} - 102 \, B a^{3} b^{3} e^{\left(2 \, x\right)} + 36 \, A a^{2} b^{4} e^{\left(2 \, x\right)} - 24 \, B a b^{5} e^{\left(2 \, x\right)} + 12 \, A b^{6} e^{\left(2 \, x\right)} - 12 \, B a^{4} b^{2} e^{x} + 60 \, A a^{3} b^{3} e^{x} - 66 \, B a^{2} b^{4} e^{x} + 15 \, A a b^{5} e^{x} + 3 \, B b^{6} e^{x} - 2 \, B a^{3} b^{3} + 11 \, A a^{2} b^{4} - 13 \, B a b^{5} + 4 \, A b^{6}}{3 \, {\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} {\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} + b\right)}^{3}}"," ",0,"(2*A*a^3 - 4*B*a^2*b + 3*A*a*b^2 - B*b^3)*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sqrt(-a^2 + b^2)) + 1/3*(6*A*a^3*b^3*e^(5*x) - 12*B*a^2*b^4*e^(5*x) + 9*A*a*b^5*e^(5*x) - 3*B*b^6*e^(5*x) + 30*A*a^4*b^2*e^(4*x) - 60*B*a^3*b^3*e^(4*x) + 45*A*a^2*b^4*e^(4*x) - 15*B*a*b^5*e^(4*x) - 8*B*a^6*e^(3*x) + 44*A*a^5*b*e^(3*x) - 64*B*a^4*b^2*e^(3*x) + 82*A*a^3*b^3*e^(3*x) - 78*B*a^2*b^4*e^(3*x) + 24*A*a*b^5*e^(3*x) - 24*B*a^5*b*e^(2*x) + 102*A*a^4*b^2*e^(2*x) - 102*B*a^3*b^3*e^(2*x) + 36*A*a^2*b^4*e^(2*x) - 24*B*a*b^5*e^(2*x) + 12*A*b^6*e^(2*x) - 12*B*a^4*b^2*e^x + 60*A*a^3*b^3*e^x - 66*B*a^2*b^4*e^x + 15*A*a*b^5*e^x + 3*B*b^6*e^x - 2*B*a^3*b^3 + 11*A*a^2*b^4 - 13*B*a*b^5 + 4*A*b^6)/((a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*(b*e^(2*x) + 2*a*e^x + b)^3)","B",0
114,1,57,0,0.139243," ","integrate((b*B/a+B*cosh(x))/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{B x}{b} - \frac{2 \, {\left(B a^{2} - B b^{2}\right)} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} a b}"," ",0,"B*x/b - 2*(B*a^2 - B*b^2)*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*a*b)","A",0
115,1,6,0,0.124048," ","integrate((a*B/b+B*cosh(x))/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{B x}{b}"," ",0,"B*x/b","A",0
116,1,26,0,0.128798," ","integrate((a+b*cosh(x))/(b+a*cosh(x))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(b e^{x} + a\right)}}{{\left(a e^{\left(2 \, x\right)} + 2 \, b e^{x} + a\right)} a}"," ",0,"-2*(b*e^x + a)/((a*e^(2*x) + 2*b*e^x + a)*a)","B",0
117,1,37,0,0.137647," ","integrate((3+cosh(x))/(2-cosh(x)),x, algorithm=""giac"")","-\frac{5}{3} \, \sqrt{3} \log\left(\frac{{\left| -2 \, \sqrt{3} + 2 \, e^{x} - 4 \right|}}{{\left| 2 \, \sqrt{3} + 2 \, e^{x} - 4 \right|}}\right) - x"," ",0,"-5/3*sqrt(3)*log(abs(-2*sqrt(3) + 2*e^x - 4)/abs(2*sqrt(3) + 2*e^x - 4)) - x","A",0
118,0,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+b*cosh(x))^(1/2),x, algorithm=""giac"")","\int \frac{B \cosh\left(x\right) + A}{\sqrt{b \cosh\left(x\right) + a}}\,{d x}"," ",0,"integrate((B*cosh(x) + A)/sqrt(b*cosh(x) + a), x)","F",0
119,0,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+b*cosh(x))^(3/2),x, algorithm=""giac"")","\int \frac{B \cosh\left(x\right) + A}{{\left(b \cosh\left(x\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*cosh(x) + A)/(b*cosh(x) + a)^(3/2), x)","F",0
120,0,0,0,0.000000," ","integrate((A+B*cosh(x))/(a+b*cosh(x))^(5/2),x, algorithm=""giac"")","\int \frac{B \cosh\left(x\right) + A}{{\left(b \cosh\left(x\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*cosh(x) + A)/(b*cosh(x) + a)^(5/2), x)","F",0
121,1,79,0,0.120254," ","integrate((a*cosh(x)^2)^(7/2),x, algorithm=""giac"")","\frac{1}{4480} \, {\left(5 \, a^{3} e^{\left(7 \, x\right)} + 49 \, a^{3} e^{\left(5 \, x\right)} + 245 \, a^{3} e^{\left(3 \, x\right)} + 1225 \, a^{3} e^{x} - {\left(1225 \, a^{3} e^{\left(6 \, x\right)} + 245 \, a^{3} e^{\left(4 \, x\right)} + 49 \, a^{3} e^{\left(2 \, x\right)} + 5 \, a^{3}\right)} e^{\left(-7 \, x\right)}\right)} \sqrt{a}"," ",0,"1/4480*(5*a^3*e^(7*x) + 49*a^3*e^(5*x) + 245*a^3*e^(3*x) + 1225*a^3*e^x - (1225*a^3*e^(6*x) + 245*a^3*e^(4*x) + 49*a^3*e^(2*x) + 5*a^3)*e^(-7*x))*sqrt(a)","A",0
122,1,61,0,0.119248," ","integrate((a*cosh(x)^2)^(5/2),x, algorithm=""giac"")","\frac{1}{480} \, {\left(3 \, a^{2} e^{\left(5 \, x\right)} + 25 \, a^{2} e^{\left(3 \, x\right)} + 150 \, a^{2} e^{x} - {\left(150 \, a^{2} e^{\left(4 \, x\right)} + 25 \, a^{2} e^{\left(2 \, x\right)} + 3 \, a^{2}\right)} e^{\left(-5 \, x\right)}\right)} \sqrt{a}"," ",0,"1/480*(3*a^2*e^(5*x) + 25*a^2*e^(3*x) + 150*a^2*e^x - (150*a^2*e^(4*x) + 25*a^2*e^(2*x) + 3*a^2)*e^(-5*x))*sqrt(a)","A",0
123,1,29,0,0.121204," ","integrate((a*cosh(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{1}{24} \, {\left({\left(9 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-3 \, x\right)} - e^{\left(3 \, x\right)} - 9 \, e^{x}\right)} a^{\frac{3}{2}}"," ",0,"-1/24*((9*e^(2*x) + 1)*e^(-3*x) - e^(3*x) - 9*e^x)*a^(3/2)","A",0
124,1,14,0,0.127113," ","integrate((a*cosh(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{a} {\left(e^{\left(-x\right)} - e^{x}\right)}"," ",0,"-1/2*sqrt(a)*(e^(-x) - e^x)","A",0
125,-2,0,0,0.000000," ","integrate(1/(a*cosh(x)^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
126,1,56,0,0.141195," ","integrate(1/(a*cosh(x)^2)^(3/2),x, algorithm=""giac"")","\frac{\frac{\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)}{\sqrt{a}} - \frac{4 \, {\left(e^{\left(-x\right)} - e^{x}\right)}}{{\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)} \sqrt{a}}}{4 \, a}"," ",0,"1/4*((pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))/sqrt(a) - 4*(e^(-x) - e^x)/(((e^(-x) - e^x)^2 + 4)*sqrt(a)))/a","A",0
127,1,67,0,0.166116," ","integrate(1/(a*cosh(x)^2)^(5/2),x, algorithm=""giac"")","\frac{3 \, {\left(\pi + 2 \, \arctan\left(\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} - 1\right)} e^{\left(-x\right)}\right)\right)}}{16 \, a^{\frac{5}{2}}} - \frac{3 \, {\left(e^{\left(-x\right)} - e^{x}\right)}^{3} + 20 \, e^{\left(-x\right)} - 20 \, e^{x}}{4 \, {\left({\left(e^{\left(-x\right)} - e^{x}\right)}^{2} + 4\right)}^{2} a^{\frac{5}{2}}}"," ",0,"3/16*(pi + 2*arctan(1/2*(e^(2*x) - 1)*e^(-x)))/a^(5/2) - 1/4*(3*(e^(-x) - e^x)^3 + 20*e^(-x) - 20*e^x)/(((e^(-x) - e^x)^2 + 4)^2*a^(5/2))","A",0
128,0,0,0,0.000000," ","integrate((a*cosh(x)^3)^(5/2),x, algorithm=""giac"")","\int \left(a \cosh\left(x\right)^{3}\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((a*cosh(x)^3)^(5/2), x)","F",0
129,0,0,0,0.000000," ","integrate((a*cosh(x)^3)^(3/2),x, algorithm=""giac"")","\int \left(a \cosh\left(x\right)^{3}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*cosh(x)^3)^(3/2), x)","F",0
130,0,0,0,0.000000," ","integrate((a*cosh(x)^3)^(1/2),x, algorithm=""giac"")","\int \sqrt{a \cosh\left(x\right)^{3}}\,{d x}"," ",0,"integrate(sqrt(a*cosh(x)^3), x)","F",0
131,0,0,0,0.000000," ","integrate(1/(a*cosh(x)^3)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{a \cosh\left(x\right)^{3}}}\,{d x}"," ",0,"integrate(1/sqrt(a*cosh(x)^3), x)","F",0
132,0,0,0,0.000000," ","integrate(1/(a*cosh(x)^3)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(a \cosh\left(x\right)^{3}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*cosh(x)^3)^(-3/2), x)","F",0
133,0,0,0,0.000000," ","integrate(1/(a*cosh(x)^3)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(a \cosh\left(x\right)^{3}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a*cosh(x)^3)^(-5/2), x)","F",0
134,1,114,0,0.126129," ","integrate((a*cosh(x)^4)^(5/2),x, algorithm=""giac"")","\frac{1}{20480} \, {\left(5040 \, a^{2} x + 2 \, a^{2} e^{\left(10 \, x\right)} + 25 \, a^{2} e^{\left(8 \, x\right)} + 150 \, a^{2} e^{\left(6 \, x\right)} + 600 \, a^{2} e^{\left(4 \, x\right)} + 2100 \, a^{2} e^{\left(2 \, x\right)} - {\left(5754 \, a^{2} e^{\left(10 \, x\right)} + 2100 \, a^{2} e^{\left(8 \, x\right)} + 600 \, a^{2} e^{\left(6 \, x\right)} + 150 \, a^{2} e^{\left(4 \, x\right)} + 25 \, a^{2} e^{\left(2 \, x\right)} + 2 \, a^{2}\right)} e^{\left(-10 \, x\right)}\right)} \sqrt{a}"," ",0,"1/20480*(5040*a^2*x + 2*a^2*e^(10*x) + 25*a^2*e^(8*x) + 150*a^2*e^(6*x) + 600*a^2*e^(4*x) + 2100*a^2*e^(2*x) - (5754*a^2*e^(10*x) + 2100*a^2*e^(8*x) + 600*a^2*e^(6*x) + 150*a^2*e^(4*x) + 25*a^2*e^(2*x) + 2*a^2)*e^(-10*x))*sqrt(a)","A",0
135,1,52,0,0.143777," ","integrate((a*cosh(x)^4)^(3/2),x, algorithm=""giac"")","-\frac{1}{384} \, {\left({\left(110 \, e^{\left(6 \, x\right)} + 45 \, e^{\left(4 \, x\right)} + 9 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-6 \, x\right)} - 120 \, x - e^{\left(6 \, x\right)} - 9 \, e^{\left(4 \, x\right)} - 45 \, e^{\left(2 \, x\right)}\right)} a^{\frac{3}{2}}"," ",0,"-1/384*((110*e^(6*x) + 45*e^(4*x) + 9*e^(2*x) + 1)*e^(-6*x) - 120*x - e^(6*x) - 9*e^(4*x) - 45*e^(2*x))*a^(3/2)","A",0
136,1,28,0,0.150188," ","integrate((a*cosh(x)^4)^(1/2),x, algorithm=""giac"")","-\frac{1}{8} \, {\left({\left(2 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-2 \, x\right)} - 4 \, x - e^{\left(2 \, x\right)}\right)} \sqrt{a}"," ",0,"-1/8*((2*e^(2*x) + 1)*e^(-2*x) - 4*x - e^(2*x))*sqrt(a)","A",0
137,1,13,0,0.133130," ","integrate(1/(a*cosh(x)^4)^(1/2),x, algorithm=""giac"")","-\frac{2}{\sqrt{a} {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"-2/(sqrt(a)*(e^(2*x) + 1))","A",0
138,1,27,0,0.160556," ","integrate(1/(a*cosh(x)^4)^(3/2),x, algorithm=""giac"")","-\frac{16 \, {\left(10 \, e^{\left(4 \, x\right)} + 5 \, e^{\left(2 \, x\right)} + 1\right)}}{15 \, a^{\frac{3}{2}} {\left(e^{\left(2 \, x\right)} + 1\right)}^{5}}"," ",0,"-16/15*(10*e^(4*x) + 5*e^(2*x) + 1)/(a^(3/2)*(e^(2*x) + 1)^5)","A",0
139,1,39,0,0.208597," ","integrate(1/(a*cosh(x)^4)^(5/2),x, algorithm=""giac"")","-\frac{256 \, {\left(126 \, e^{\left(8 \, x\right)} + 84 \, e^{\left(6 \, x\right)} + 36 \, e^{\left(4 \, x\right)} + 9 \, e^{\left(2 \, x\right)} + 1\right)}}{315 \, a^{\frac{5}{2}} {\left(e^{\left(2 \, x\right)} + 1\right)}^{9}}"," ",0,"-256/315*(126*e^(8*x) + 84*e^(6*x) + 36*e^(4*x) + 9*e^(2*x) + 1)/(a^(5/2)*(e^(2*x) + 1)^9)","A",0
140,1,10,0,0.142176," ","integrate(sinh(x)/(1+cosh(x))^2,x, algorithm=""giac"")","-\frac{2 \, e^{x}}{{\left(e^{x} + 1\right)}^{2}}"," ",0,"-2*e^x/(e^x + 1)^2","A",0
141,1,10,0,0.123760," ","integrate(sinh(x)/(1-cosh(x))^2,x, algorithm=""giac"")","-\frac{2 \, e^{x}}{{\left(e^{x} - 1\right)}^{2}}"," ",0,"-2*e^x/(e^x - 1)^2","A",0
142,1,10,0,0.129588," ","integrate(sinh(x)^2/(1+cosh(x))^2,x, algorithm=""giac"")","x + \frac{4}{e^{x} + 1}"," ",0,"x + 4/(e^x + 1)","A",0
143,1,10,0,0.157873," ","integrate(sinh(x)^2/(1-cosh(x))^2,x, algorithm=""giac"")","x - \frac{4}{e^{x} - 1}"," ",0,"x - 4/(e^x - 1)","A",0
144,1,21,0,0.122487," ","integrate(sinh(x)^3/(1+cosh(x))^2,x, algorithm=""giac"")","2 \, x + \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x} - 4 \, \log\left(e^{x} + 1\right)"," ",0,"2*x + 1/2*e^(-x) + 1/2*e^x - 4*log(e^x + 1)","B",0
145,1,22,0,0.131114," ","integrate(sinh(x)^3/(1-cosh(x))^2,x, algorithm=""giac"")","-2 \, x + \frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x} + 4 \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-2*x + 1/2*e^(-x) + 1/2*e^x + 4*log(abs(e^x - 1))","A",0
146,1,12,0,0.119639," ","integrate(sinh(x)/(1+cosh(x))^3,x, algorithm=""giac"")","-\frac{2 \, e^{\left(2 \, x\right)}}{{\left(e^{x} + 1\right)}^{4}}"," ",0,"-2*e^(2*x)/(e^x + 1)^4","A",0
147,1,12,0,0.132172," ","integrate(sinh(x)/(1-cosh(x))^3,x, algorithm=""giac"")","\frac{2 \, e^{\left(2 \, x\right)}}{{\left(e^{x} - 1\right)}^{4}}"," ",0,"2*e^(2*x)/(e^x - 1)^4","A",0
148,1,16,0,0.128070," ","integrate(sinh(x)^2/(1+cosh(x))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, e^{\left(2 \, x\right)} + 1\right)}}{3 \, {\left(e^{x} + 1\right)}^{3}}"," ",0,"-2/3*(3*e^(2*x) + 1)/(e^x + 1)^3","A",0
149,1,16,0,0.140186," ","integrate(sinh(x)^2/(1-cosh(x))^3,x, algorithm=""giac"")","\frac{2 \, {\left(3 \, e^{\left(2 \, x\right)} + 1\right)}}{3 \, {\left(e^{x} - 1\right)}^{3}}"," ",0,"2/3*(3*e^(2*x) + 1)/(e^x - 1)^3","A",0
150,1,21,0,0.122563," ","integrate(sinh(x)^3/(1+cosh(x))^3,x, algorithm=""giac"")","-x + \frac{4 \, e^{x}}{{\left(e^{x} + 1\right)}^{2}} + 2 \, \log\left(e^{x} + 1\right)"," ",0,"-x + 4*e^x/(e^x + 1)^2 + 2*log(e^x + 1)","A",0
151,1,20,0,0.144254," ","integrate(sinh(x)^3/(1-cosh(x))^3,x, algorithm=""giac"")","x + \frac{4 \, e^{x}}{{\left(e^{x} - 1\right)}^{2}} - 2 \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"x + 4*e^x/(e^x - 1)^2 - 2*log(abs(e^x - 1))","A",0
152,1,90,0,0.121552," ","integrate(sinh(x)^8/(a+a*cosh(x)),x, algorithm=""giac"")","\frac{{\left(105 \, e^{\left(6 \, x\right)} + 315 \, e^{\left(5 \, x\right)} - 63 \, e^{\left(4 \, x\right)} - 63 \, e^{\left(3 \, x\right)} + 21 \, e^{\left(2 \, x\right)} + 7 \, e^{x} - 3\right)} e^{\left(-7 \, x\right)} + 840 \, x + 3 \, e^{\left(7 \, x\right)} - 7 \, e^{\left(6 \, x\right)} - 21 \, e^{\left(5 \, x\right)} + 63 \, e^{\left(4 \, x\right)} + 63 \, e^{\left(3 \, x\right)} - 315 \, e^{\left(2 \, x\right)} - 105 \, e^{x}}{2688 \, a}"," ",0,"1/2688*((105*e^(6*x) + 315*e^(5*x) - 63*e^(4*x) - 63*e^(3*x) + 21*e^(2*x) + 7*e^x - 3)*e^(-7*x) + 840*x + 3*e^(7*x) - 7*e^(6*x) - 21*e^(5*x) + 63*e^(4*x) + 63*e^(3*x) - 315*e^(2*x) - 105*e^x)/a","A",0
153,1,75,0,0.118142," ","integrate(sinh(x)^7/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{{\left(600 \, e^{\left(5 \, x\right)} - 75 \, e^{\left(4 \, x\right)} - 100 \, e^{\left(3 \, x\right)} + 30 \, e^{\left(2 \, x\right)} + 12 \, e^{x} - 5\right)} e^{\left(-6 \, x\right)} - 5 \, e^{\left(6 \, x\right)} + 12 \, e^{\left(5 \, x\right)} + 30 \, e^{\left(4 \, x\right)} - 100 \, e^{\left(3 \, x\right)} - 75 \, e^{\left(2 \, x\right)} + 600 \, e^{x}}{1920 \, a}"," ",0,"-1/1920*((600*e^(5*x) - 75*e^(4*x) - 100*e^(3*x) + 30*e^(2*x) + 12*e^x - 5)*e^(-6*x) - 5*e^(6*x) + 12*e^(5*x) + 30*e^(4*x) - 100*e^(3*x) - 75*e^(2*x) + 600*e^x)/a","A",0
154,1,66,0,0.132725," ","integrate(sinh(x)^6/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{{\left(20 \, e^{\left(4 \, x\right)} + 40 \, e^{\left(3 \, x\right)} - 10 \, e^{\left(2 \, x\right)} - 5 \, e^{x} + 2\right)} e^{\left(-5 \, x\right)} + 120 \, x - 2 \, e^{\left(5 \, x\right)} + 5 \, e^{\left(4 \, x\right)} + 10 \, e^{\left(3 \, x\right)} - 40 \, e^{\left(2 \, x\right)} - 20 \, e^{x}}{320 \, a}"," ",0,"-1/320*((20*e^(4*x) + 40*e^(3*x) - 10*e^(2*x) - 5*e^x + 2)*e^(-5*x) + 120*x - 2*e^(5*x) + 5*e^(4*x) + 10*e^(3*x) - 40*e^(2*x) - 20*e^x)/a","A",0
155,1,51,0,0.125964," ","integrate(sinh(x)^5/(a+a*cosh(x)),x, algorithm=""giac"")","\frac{{\left(72 \, e^{\left(3 \, x\right)} - 12 \, e^{\left(2 \, x\right)} - 8 \, e^{x} + 3\right)} e^{\left(-4 \, x\right)} + 3 \, e^{\left(4 \, x\right)} - 8 \, e^{\left(3 \, x\right)} - 12 \, e^{\left(2 \, x\right)} + 72 \, e^{x}}{192 \, a}"," ",0,"1/192*((72*e^(3*x) - 12*e^(2*x) - 8*e^x + 3)*e^(-4*x) + 3*e^(4*x) - 8*e^(3*x) - 12*e^(2*x) + 72*e^x)/a","A",0
156,1,40,0,0.137922," ","integrate(sinh(x)^4/(a+a*cosh(x)),x, algorithm=""giac"")","\frac{{\left(3 \, e^{\left(2 \, x\right)} + 3 \, e^{x} - 1\right)} e^{\left(-3 \, x\right)} + 12 \, x + e^{\left(3 \, x\right)} - 3 \, e^{\left(2 \, x\right)} - 3 \, e^{x}}{24 \, a}"," ",0,"1/24*((3*e^(2*x) + 3*e^x - 1)*e^(-3*x) + 12*x + e^(3*x) - 3*e^(2*x) - 3*e^x)/a","A",0
157,1,27,0,0.132910," ","integrate(sinh(x)^3/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{{\left(4 \, e^{x} - 1\right)} e^{\left(-2 \, x\right)} - e^{\left(2 \, x\right)} + 4 \, e^{x}}{8 \, a}"," ",0,"-1/8*((4*e^x - 1)*e^(-2*x) - e^(2*x) + 4*e^x)/a","A",0
158,1,17,0,0.116803," ","integrate(sinh(x)^2/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{2 \, x + e^{\left(-x\right)} - e^{x}}{2 \, a}"," ",0,"-1/2*(2*x + e^(-x) - e^x)/a","A",0
159,1,17,0,0.160176," ","integrate(sinh(x)/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{x}{a} + \frac{2 \, \log\left(e^{x} + 1\right)}{a}"," ",0,"-x/a + 2*log(e^x + 1)/a","A",0
160,1,52,0,0.152932," ","integrate(csch(x)/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{\log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{4 \, a} + \frac{\log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{4 \, a} + \frac{e^{\left(-x\right)} + e^{x} + 6}{4 \, a {\left(e^{\left(-x\right)} + e^{x} + 2\right)}}"," ",0,"-1/4*log(e^(-x) + e^x + 2)/a + 1/4*log(e^(-x) + e^x - 2)/a + 1/4*(e^(-x) + e^x + 6)/(a*(e^(-x) + e^x + 2))","B",0
161,1,35,0,0.152631," ","integrate(csch(x)^2/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{1}{2 \, a {\left(e^{x} - 1\right)}} + \frac{3 \, e^{\left(2 \, x\right)} + 12 \, e^{x} + 5}{6 \, a {\left(e^{x} + 1\right)}^{3}}"," ",0,"-1/2/(a*(e^x - 1)) + 1/6*(3*e^(2*x) + 12*e^x + 5)/(a*(e^x + 1)^3)","A",0
162,1,94,0,0.177644," ","integrate(csch(x)^3/(a+a*cosh(x)),x, algorithm=""giac"")","\frac{3 \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{16 \, a} - \frac{3 \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{16 \, a} + \frac{3 \, e^{\left(-x\right)} + 3 \, e^{x} - 10}{16 \, a {\left(e^{\left(-x\right)} + e^{x} - 2\right)}} - \frac{9 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 52 \, e^{\left(-x\right)} + 52 \, e^{x} + 84}{32 \, a {\left(e^{\left(-x\right)} + e^{x} + 2\right)}^{2}}"," ",0,"3/16*log(e^(-x) + e^x + 2)/a - 3/16*log(e^(-x) + e^x - 2)/a + 1/16*(3*e^(-x) + 3*e^x - 10)/(a*(e^(-x) + e^x - 2)) - 1/32*(9*(e^(-x) + e^x)^2 + 52*e^(-x) + 52*e^x + 84)/(a*(e^(-x) + e^x + 2)^2)","B",0
163,1,59,0,0.147252," ","integrate(csch(x)^4/(a+a*cosh(x)),x, algorithm=""giac"")","\frac{9 \, e^{\left(2 \, x\right)} - 24 \, e^{x} + 11}{24 \, a {\left(e^{x} - 1\right)}^{3}} - \frac{45 \, e^{\left(4 \, x\right)} + 240 \, e^{\left(3 \, x\right)} + 490 \, e^{\left(2 \, x\right)} + 320 \, e^{x} + 73}{120 \, a {\left(e^{x} + 1\right)}^{5}}"," ",0,"1/24*(9*e^(2*x) - 24*e^x + 11)/(a*(e^x - 1)^3) - 1/120*(45*e^(4*x) + 240*e^(3*x) + 490*e^(2*x) + 320*e^x + 73)/(a*(e^x + 1)^5)","A",0
164,1,116,0,0.136005," ","integrate(csch(x)^5/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{5 \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{32 \, a} + \frac{5 \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{32 \, a} - \frac{15 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 76 \, e^{\left(-x\right)} - 76 \, e^{x} + 100}{64 \, a {\left(e^{\left(-x\right)} + e^{x} - 2\right)}^{2}} + \frac{55 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} + 402 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 1020 \, e^{\left(-x\right)} + 1020 \, e^{x} + 936}{192 \, a {\left(e^{\left(-x\right)} + e^{x} + 2\right)}^{3}}"," ",0,"-5/32*log(e^(-x) + e^x + 2)/a + 5/32*log(e^(-x) + e^x - 2)/a - 1/64*(15*(e^(-x) + e^x)^2 - 76*e^(-x) - 76*e^x + 100)/(a*(e^(-x) + e^x - 2)^2) + 1/192*(55*(e^(-x) + e^x)^3 + 402*(e^(-x) + e^x)^2 + 1020*e^(-x) + 1020*e^x + 936)/(a*(e^(-x) + e^x + 2)^3)","A",0
165,1,229,0,0.169021," ","integrate(sinh(x)^7/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{5 \, b^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{6} - 12 \, a b^{4} {\left(e^{\left(-x\right)} + e^{x}\right)}^{5} + 30 \, a^{2} b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} - 90 \, b^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} - 80 \, a^{3} b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} + 240 \, a b^{4} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} + 240 \, a^{4} b {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 720 \, a^{2} b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 720 \, b^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 960 \, a^{5} {\left(e^{\left(-x\right)} + e^{x}\right)} + 2880 \, a^{3} b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)} - 2880 \, a b^{4} {\left(e^{\left(-x\right)} + e^{x}\right)}}{1920 \, b^{6}} + \frac{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \log\left({\left| b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, a \right|}\right)}{b^{7}}"," ",0,"1/1920*(5*b^5*(e^(-x) + e^x)^6 - 12*a*b^4*(e^(-x) + e^x)^5 + 30*a^2*b^3*(e^(-x) + e^x)^4 - 90*b^5*(e^(-x) + e^x)^4 - 80*a^3*b^2*(e^(-x) + e^x)^3 + 240*a*b^4*(e^(-x) + e^x)^3 + 240*a^4*b*(e^(-x) + e^x)^2 - 720*a^2*b^3*(e^(-x) + e^x)^2 + 720*b^5*(e^(-x) + e^x)^2 - 960*a^5*(e^(-x) + e^x) + 2880*a^3*b^2*(e^(-x) + e^x) - 2880*a*b^4*(e^(-x) + e^x))/b^6 + (a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*log(abs(b*(e^(-x) + e^x) + 2*a))/b^7","A",0
166,1,266,0,0.164295," ","integrate(sinh(x)^6/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{6 \, b^{4} e^{\left(5 \, x\right)} - 15 \, a b^{3} e^{\left(4 \, x\right)} + 40 \, a^{2} b^{2} e^{\left(3 \, x\right)} - 70 \, b^{4} e^{\left(3 \, x\right)} - 120 \, a^{3} b e^{\left(2 \, x\right)} + 240 \, a b^{3} e^{\left(2 \, x\right)} + 480 \, a^{4} e^{x} - 1080 \, a^{2} b^{2} e^{x} + 660 \, b^{4} e^{x}}{960 \, b^{5}} - \frac{{\left(8 \, a^{5} - 20 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x}{8 \, b^{6}} + \frac{{\left(15 \, a b^{4} e^{x} - 6 \, b^{5} - 60 \, {\left(8 \, a^{4} b - 18 \, a^{2} b^{3} + 11 \, b^{5}\right)} e^{\left(4 \, x\right)} + 120 \, {\left(a^{3} b^{2} - 2 \, a b^{4}\right)} e^{\left(3 \, x\right)} - 10 \, {\left(4 \, a^{2} b^{3} - 7 \, b^{5}\right)} e^{\left(2 \, x\right)}\right)} e^{\left(-5 \, x\right)}}{960 \, b^{6}} + \frac{2 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} b^{6}}"," ",0,"1/960*(6*b^4*e^(5*x) - 15*a*b^3*e^(4*x) + 40*a^2*b^2*e^(3*x) - 70*b^4*e^(3*x) - 120*a^3*b*e^(2*x) + 240*a*b^3*e^(2*x) + 480*a^4*e^x - 1080*a^2*b^2*e^x + 660*b^4*e^x)/b^5 - 1/8*(8*a^5 - 20*a^3*b^2 + 15*a*b^4)*x/b^6 + 1/960*(15*a*b^4*e^x - 6*b^5 - 60*(8*a^4*b - 18*a^2*b^3 + 11*b^5)*e^(4*x) + 120*(a^3*b^2 - 2*a*b^4)*e^(3*x) - 10*(4*a^2*b^3 - 7*b^5)*e^(2*x))*e^(-5*x)/b^6 + 2*(a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b^6)","A",0
167,1,124,0,0.128836," ","integrate(sinh(x)^5/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{3 \, b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} - 8 \, a b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} + 24 \, a^{2} b {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 48 \, b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 96 \, a^{3} {\left(e^{\left(-x\right)} + e^{x}\right)} + 192 \, a b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}}{192 \, b^{4}} + \frac{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \log\left({\left| b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, a \right|}\right)}{b^{5}}"," ",0,"1/192*(3*b^3*(e^(-x) + e^x)^4 - 8*a*b^2*(e^(-x) + e^x)^3 + 24*a^2*b*(e^(-x) + e^x)^2 - 48*b^3*(e^(-x) + e^x)^2 - 96*a^3*(e^(-x) + e^x) + 192*a*b^2*(e^(-x) + e^x))/b^4 + (a^4 - 2*a^2*b^2 + b^4)*log(abs(b*(e^(-x) + e^x) + 2*a))/b^5","A",0
168,1,146,0,0.124858," ","integrate(sinh(x)^4/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{b^{2} e^{\left(3 \, x\right)} - 3 \, a b e^{\left(2 \, x\right)} + 12 \, a^{2} e^{x} - 15 \, b^{2} e^{x}}{24 \, b^{3}} - \frac{{\left(2 \, a^{3} - 3 \, a b^{2}\right)} x}{2 \, b^{4}} + \frac{{\left(3 \, a b^{2} e^{x} - b^{3} - 3 \, {\left(4 \, a^{2} b - 5 \, b^{3}\right)} e^{\left(2 \, x\right)}\right)} e^{\left(-3 \, x\right)}}{24 \, b^{4}} + \frac{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} b^{4}}"," ",0,"1/24*(b^2*e^(3*x) - 3*a*b*e^(2*x) + 12*a^2*e^x - 15*b^2*e^x)/b^3 - 1/2*(2*a^3 - 3*a*b^2)*x/b^4 + 1/24*(3*a*b^2*e^x - b^3 - 3*(4*a^2*b - 5*b^3)*e^(2*x))*e^(-3*x)/b^4 + 2*(a^4 - 2*a^2*b^2 + b^4)*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b^4)","A",0
169,1,56,0,0.127429," ","integrate(sinh(x)^3/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{b {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4 \, a {\left(e^{\left(-x\right)} + e^{x}\right)}}{8 \, b^{2}} + \frac{{\left(a^{2} - b^{2}\right)} \log\left({\left| b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, a \right|}\right)}{b^{3}}"," ",0,"1/8*(b*(e^(-x) + e^x)^2 - 4*a*(e^(-x) + e^x))/b^2 + (a^2 - b^2)*log(abs(b*(e^(-x) + e^x) + 2*a))/b^3","A",0
170,1,68,0,0.133343," ","integrate(sinh(x)^2/(a+b*cosh(x)),x, algorithm=""giac"")","-\frac{a x}{b^{2}} - \frac{e^{\left(-x\right)}}{2 \, b} + \frac{e^{x}}{2 \, b} + \frac{2 \, {\left(a^{2} - b^{2}\right)} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} b^{2}}"," ",0,"-a*x/b^2 - 1/2*e^(-x)/b + 1/2*e^x/b + 2*(a^2 - b^2)*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b^2)","A",0
171,1,19,0,0.142031," ","integrate(sinh(x)/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{\log\left({\left| b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, a \right|}\right)}{b}"," ",0,"log(abs(b*(e^(-x) + e^x) + 2*a))/b","A",0
172,1,67,0,0.148804," ","integrate(csch(x)/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{b^{2} \log\left({\left| b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, a \right|}\right)}{a^{2} b - b^{3}} - \frac{\log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{2 \, {\left(a - b\right)}} + \frac{\log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{2 \, {\left(a + b\right)}}"," ",0,"b^2*log(abs(b*(e^(-x) + e^x) + 2*a))/(a^2*b - b^3) - 1/2*log(e^(-x) + e^x + 2)/(a - b) + 1/2*log(e^(-x) + e^x - 2)/(a + b)","A",0
173,1,76,0,0.138933," ","integrate(csch(x)^2/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, b^{2} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)} \sqrt{-a^{2} + b^{2}}} + \frac{2 \, {\left(b e^{x} - a\right)}}{{\left(a^{2} - b^{2}\right)} {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"2*b^2*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/((a^2 - b^2)*sqrt(-a^2 + b^2)) + 2*(b*e^x - a)/((a^2 - b^2)*(e^(2*x) - 1))","A",0
174,1,179,0,0.146204," ","integrate(csch(x)^3/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{b^{4} \log\left({\left| b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, a \right|}\right)}{a^{4} b - 2 \, a^{2} b^{3} + b^{5}} + \frac{{\left(a - 2 \, b\right)} \log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} - \frac{{\left(a + 2 \, b\right)} \log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{4 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} + \frac{b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 2 \, a^{3} {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, a b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)} + 4 \, a^{2} b - 8 \, b^{3}}{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4\right)}}"," ",0,"b^4*log(abs(b*(e^(-x) + e^x) + 2*a))/(a^4*b - 2*a^2*b^3 + b^5) + 1/4*(a - 2*b)*log(e^(-x) + e^x + 2)/(a^2 - 2*a*b + b^2) - 1/4*(a + 2*b)*log(e^(-x) + e^x - 2)/(a^2 + 2*a*b + b^2) + 1/2*(b^3*(e^(-x) + e^x)^2 - 2*a^3*(e^(-x) + e^x) + 2*a*b^2*(e^(-x) + e^x) + 4*a^2*b - 8*b^3)/((a^4 - 2*a^2*b^2 + b^4)*((e^(-x) + e^x)^2 - 4))","B",0
175,1,156,0,0.132086," ","integrate(csch(x)^4/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, b^{4} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{-a^{2} + b^{2}}} + \frac{2 \, {\left(3 \, b^{3} e^{\left(5 \, x\right)} - 3 \, a b^{2} e^{\left(4 \, x\right)} + 4 \, a^{2} b e^{\left(3 \, x\right)} - 10 \, b^{3} e^{\left(3 \, x\right)} - 6 \, a^{3} e^{\left(2 \, x\right)} + 12 \, a b^{2} e^{\left(2 \, x\right)} + 3 \, b^{3} e^{x} + 2 \, a^{3} - 5 \, a b^{2}\right)}}{3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"2*b^4*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/((a^4 - 2*a^2*b^2 + b^4)*sqrt(-a^2 + b^2)) + 2/3*(3*b^3*e^(5*x) - 3*a*b^2*e^(4*x) + 4*a^2*b*e^(3*x) - 10*b^3*e^(3*x) - 6*a^3*e^(2*x) + 12*a*b^2*e^(2*x) + 3*b^3*e^x + 2*a^3 - 5*a*b^2)/((a^4 - 2*a^2*b^2 + b^4)*(e^(2*x) - 1)^3)","A",0
176,1,338,0,0.161007," ","integrate(csch(x)^5/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{b^{6} \log\left({\left| b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, a \right|}\right)}{a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}} - \frac{{\left(3 \, a^{2} - 9 \, a b + 8 \, b^{2}\right)} \log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{16 \, {\left(a^{3} - 3 \, a^{2} b + 3 \, a b^{2} - b^{3}\right)}} + \frac{{\left(3 \, a^{2} + 9 \, a b + 8 \, b^{2}\right)} \log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{16 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)}} + \frac{3 \, b^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{4} + 3 \, a^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 10 \, a^{3} b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} + 7 \, a b^{4} {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} + 8 \, a^{2} b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 32 \, b^{5} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 20 \, a^{5} {\left(e^{\left(-x\right)} + e^{x}\right)} + 56 \, a^{3} b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)} - 36 \, a b^{4} {\left(e^{\left(-x\right)} + e^{x}\right)} + 16 \, a^{4} b - 64 \, a^{2} b^{3} + 96 \, b^{5}}{4 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} {\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4\right)}^{2}}"," ",0,"b^6*log(abs(b*(e^(-x) + e^x) + 2*a))/(a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7) - 1/16*(3*a^2 - 9*a*b + 8*b^2)*log(e^(-x) + e^x + 2)/(a^3 - 3*a^2*b + 3*a*b^2 - b^3) + 1/16*(3*a^2 + 9*a*b + 8*b^2)*log(e^(-x) + e^x - 2)/(a^3 + 3*a^2*b + 3*a*b^2 + b^3) + 1/4*(3*b^5*(e^(-x) + e^x)^4 + 3*a^5*(e^(-x) + e^x)^3 - 10*a^3*b^2*(e^(-x) + e^x)^3 + 7*a*b^4*(e^(-x) + e^x)^3 + 8*a^2*b^3*(e^(-x) + e^x)^2 - 32*b^5*(e^(-x) + e^x)^2 - 20*a^5*(e^(-x) + e^x) + 56*a^3*b^2*(e^(-x) + e^x) - 36*a*b^4*(e^(-x) + e^x) + 16*a^4*b - 64*a^2*b^3 + 96*b^5)/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*((e^(-x) + e^x)^2 - 4)^2)","B",0
177,1,303,0,0.187477," ","integrate(csch(x)^6/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, b^{6} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sqrt{-a^{2} + b^{2}}} + \frac{2 \, {\left(15 \, b^{5} e^{\left(9 \, x\right)} - 15 \, a b^{4} e^{\left(8 \, x\right)} + 20 \, a^{2} b^{3} e^{\left(7 \, x\right)} - 80 \, b^{5} e^{\left(7 \, x\right)} - 30 \, a^{3} b^{2} e^{\left(6 \, x\right)} + 90 \, a b^{4} e^{\left(6 \, x\right)} + 48 \, a^{4} b e^{\left(5 \, x\right)} - 136 \, a^{2} b^{3} e^{\left(5 \, x\right)} + 178 \, b^{5} e^{\left(5 \, x\right)} - 80 \, a^{5} e^{\left(4 \, x\right)} + 230 \, a^{3} b^{2} e^{\left(4 \, x\right)} - 240 \, a b^{4} e^{\left(4 \, x\right)} + 20 \, a^{2} b^{3} e^{\left(3 \, x\right)} - 80 \, b^{5} e^{\left(3 \, x\right)} + 40 \, a^{5} e^{\left(2 \, x\right)} - 130 \, a^{3} b^{2} e^{\left(2 \, x\right)} + 150 \, a b^{4} e^{\left(2 \, x\right)} + 15 \, b^{5} e^{x} - 8 \, a^{5} + 26 \, a^{3} b^{2} - 33 \, a b^{4}\right)}}{15 \, {\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} {\left(e^{\left(2 \, x\right)} - 1\right)}^{5}}"," ",0,"2*b^6*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sqrt(-a^2 + b^2)) + 2/15*(15*b^5*e^(9*x) - 15*a*b^4*e^(8*x) + 20*a^2*b^3*e^(7*x) - 80*b^5*e^(7*x) - 30*a^3*b^2*e^(6*x) + 90*a*b^4*e^(6*x) + 48*a^4*b*e^(5*x) - 136*a^2*b^3*e^(5*x) + 178*b^5*e^(5*x) - 80*a^5*e^(4*x) + 230*a^3*b^2*e^(4*x) - 240*a*b^4*e^(4*x) + 20*a^2*b^3*e^(3*x) - 80*b^5*e^(3*x) + 40*a^5*e^(2*x) - 130*a^3*b^2*e^(2*x) + 150*a*b^4*e^(2*x) + 15*b^5*e^x - 8*a^5 + 26*a^3*b^2 - 33*a*b^4)/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*(e^(2*x) - 1)^5)","B",0
178,1,68,0,0.151590," ","integrate(sinh(x)^2/(a+b*cosh(x))^2,x, algorithm=""giac"")","-\frac{2 \, a \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} b^{2}} + \frac{x}{b^{2}} + \frac{2 \, {\left(a e^{x} + b\right)}}{{\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} + b\right)} b^{2}}"," ",0,"-2*a*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b^2) + x/b^2 + 2*(a*e^x + b)/((b*e^(2*x) + 2*a*e^x + b)*b^2)","A",0
179,1,144,0,0.154554," ","integrate(tanh(x)^4/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{{\left(3 \, a^{2} b - 2 \, b^{3}\right)} \arctan\left(e^{x}\right)}{a^{4}} + \frac{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} a^{4}} - \frac{3 \, a b e^{\left(5 \, x\right)} - 12 \, a^{2} e^{\left(4 \, x\right)} + 6 \, b^{2} e^{\left(4 \, x\right)} - 12 \, a^{2} e^{\left(2 \, x\right)} + 12 \, b^{2} e^{\left(2 \, x\right)} - 3 \, a b e^{x} - 8 \, a^{2} + 6 \, b^{2}}{3 \, a^{3} {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"(3*a^2*b - 2*b^3)*arctan(e^x)/a^4 + 2*(a^4 - 2*a^2*b^2 + b^4)*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*a^4) - 1/3*(3*a*b*e^(5*x) - 12*a^2*e^(4*x) + 6*b^2*e^(4*x) - 12*a^2*e^(2*x) + 12*b^2*e^(2*x) - 3*a*b*e^x - 8*a^2 + 6*b^2)/(a^3*(e^(2*x) + 1)^3)","A",0
180,1,115,0,0.128392," ","integrate(tanh(x)^3/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{{\left(a^{2} - b^{2}\right)} \log\left(e^{\left(-x\right)} + e^{x}\right)}{a^{3}} - \frac{{\left(a^{2} b - b^{3}\right)} \log\left({\left| b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, a \right|}\right)}{a^{3} b} - \frac{3 \, a^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 3 \, b^{2} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 4 \, a b {\left(e^{\left(-x\right)} + e^{x}\right)} - 4 \, a^{2}}{2 \, a^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2}}"," ",0,"(a^2 - b^2)*log(e^(-x) + e^x)/a^3 - (a^2*b - b^3)*log(abs(b*(e^(-x) + e^x) + 2*a))/(a^3*b) - 1/2*(3*a^2*(e^(-x) + e^x)^2 - 3*b^2*(e^(-x) + e^x)^2 + 4*a*b*(e^(-x) + e^x) - 4*a^2)/(a^3*(e^(-x) + e^x)^2)","B",0
181,1,67,0,0.129577," ","integrate(tanh(x)^2/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, b \arctan\left(e^{x}\right)}{a^{2}} + \frac{2 \, {\left(a^{2} - b^{2}\right)} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} a^{2}} + \frac{2}{a {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"2*b*arctan(e^x)/a^2 + 2*(a^2 - b^2)*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*a^2) + 2/(a*(e^(2*x) + 1))","A",0
182,1,33,0,0.121549," ","integrate(tanh(x)/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{\log\left(e^{\left(-x\right)} + e^{x}\right)}{a} - \frac{\log\left({\left| b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, a \right|}\right)}{a}"," ",0,"log(e^(-x) + e^x)/a - log(abs(b*(e^(-x) + e^x) + 2*a))/a","A",0
183,1,67,0,0.122755," ","integrate(coth(x)/(a+b*cosh(x)),x, algorithm=""giac"")","-\frac{a b \log\left({\left| b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, a \right|}\right)}{a^{2} b - b^{3}} + \frac{\log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{2 \, {\left(a - b\right)}} + \frac{\log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{2 \, {\left(a + b\right)}}"," ",0,"-a*b*log(abs(b*(e^(-x) + e^x) + 2*a))/(a^2*b - b^3) + 1/2*log(e^(-x) + e^x + 2)/(a - b) + 1/2*log(e^(-x) + e^x - 2)/(a + b)","A",0
184,1,76,0,0.144635," ","integrate(coth(x)^2/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, a^{2} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)} \sqrt{-a^{2} + b^{2}}} + \frac{2 \, {\left(b e^{x} - a\right)}}{{\left(a^{2} - b^{2}\right)} {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"2*a^2*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/((a^2 - b^2)*sqrt(-a^2 + b^2)) + 2*(b*e^x - a)/((a^2 - b^2)*(e^(2*x) - 1))","A",0
185,1,178,0,0.127912," ","integrate(coth(x)^3/(a+b*cosh(x)),x, algorithm=""giac"")","-\frac{a^{3} b \log\left({\left| b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, a \right|}\right)}{a^{4} b - 2 \, a^{2} b^{3} + b^{5}} + \frac{{\left(2 \, a - b\right)} \log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{4 \, {\left(a^{2} - 2 \, a b + b^{2}\right)}} + \frac{{\left(2 \, a + b\right)} \log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{4 \, {\left(a^{2} + 2 \, a b + b^{2}\right)}} - \frac{a^{3} {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 2 \, a^{2} b {\left(e^{\left(-x\right)} + e^{x}\right)} + 2 \, b^{3} {\left(e^{\left(-x\right)} + e^{x}\right)} - 4 \, a b^{2}}{2 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left({\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4\right)}}"," ",0,"-a^3*b*log(abs(b*(e^(-x) + e^x) + 2*a))/(a^4*b - 2*a^2*b^3 + b^5) + 1/4*(2*a - b)*log(e^(-x) + e^x + 2)/(a^2 - 2*a*b + b^2) + 1/4*(2*a + b)*log(e^(-x) + e^x - 2)/(a^2 + 2*a*b + b^2) - 1/2*(a^3*(e^(-x) + e^x)^2 - 2*a^2*b*(e^(-x) + e^x) + 2*b^3*(e^(-x) + e^x) - 4*a*b^2)/((a^4 - 2*a^2*b^2 + b^4)*((e^(-x) + e^x)^2 - 4))","A",0
186,1,172,0,0.146556," ","integrate(coth(x)^4/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, a^{4} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{-a^{2} + b^{2}}} + \frac{2 \, {\left(6 \, a^{2} b e^{\left(5 \, x\right)} - 3 \, b^{3} e^{\left(5 \, x\right)} - 6 \, a^{3} e^{\left(4 \, x\right)} + 3 \, a b^{2} e^{\left(4 \, x\right)} - 8 \, a^{2} b e^{\left(3 \, x\right)} + 2 \, b^{3} e^{\left(3 \, x\right)} + 6 \, a^{3} e^{\left(2 \, x\right)} + 6 \, a^{2} b e^{x} - 3 \, b^{3} e^{x} - 4 \, a^{3} + a b^{2}\right)}}{3 \, {\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} {\left(e^{\left(2 \, x\right)} - 1\right)}^{3}}"," ",0,"2*a^4*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/((a^4 - 2*a^2*b^2 + b^4)*sqrt(-a^2 + b^2)) + 2/3*(6*a^2*b*e^(5*x) - 3*b^3*e^(5*x) - 6*a^3*e^(4*x) + 3*a*b^2*e^(4*x) - 8*a^2*b*e^(3*x) + 2*b^3*e^(3*x) + 6*a^3*e^(2*x) + 6*a^2*b*e^x - 3*b^3*e^x - 4*a^3 + a*b^2)/((a^4 - 2*a^2*b^2 + b^4)*(e^(2*x) - 1)^3)","A",0
187,1,58,0,0.148913," ","integrate(tanh(x)^6/(a+a*cosh(x)),x, algorithm=""giac"")","\frac{3 \, \arctan\left(e^{x}\right)}{4 \, a} - \frac{25 \, e^{\left(9 \, x\right)} - 40 \, e^{\left(8 \, x\right)} + 10 \, e^{\left(7 \, x\right)} - 80 \, e^{\left(4 \, x\right)} - 10 \, e^{\left(3 \, x\right)} - 25 \, e^{x} - 8}{20 \, a {\left(e^{\left(2 \, x\right)} + 1\right)}^{5}}"," ",0,"3/4*arctan(e^x)/a - 1/20*(25*e^(9*x) - 40*e^(8*x) + 10*e^(7*x) - 80*e^(4*x) - 10*e^(3*x) - 25*e^x - 8)/(a*(e^(2*x) + 1)^5)","A",0
188,1,48,0,0.147979," ","integrate(tanh(x)^5/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{3} - 3 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} - 4 \, e^{\left(-x\right)} - 4 \, e^{x} + 6\right)}}{3 \, a {\left(e^{\left(-x\right)} + e^{x}\right)}^{4}}"," ",0,"-2/3*(3*(e^(-x) + e^x)^3 - 3*(e^(-x) + e^x)^2 - 4*e^(-x) - 4*e^x + 6)/(a*(e^(-x) + e^x)^4)","A",0
189,1,39,0,0.131268," ","integrate(tanh(x)^4/(a+a*cosh(x)),x, algorithm=""giac"")","\frac{\arctan\left(e^{x}\right)}{a} - \frac{3 \, e^{\left(5 \, x\right)} - 6 \, e^{\left(4 \, x\right)} - 3 \, e^{x} - 2}{3 \, a {\left(e^{\left(2 \, x\right)} + 1\right)}^{3}}"," ",0,"arctan(e^x)/a - 1/3*(3*e^(5*x) - 6*e^(4*x) - 3*e^x - 2)/(a*(e^(2*x) + 1)^3)","A",0
190,1,22,0,0.129077," ","integrate(tanh(x)^3/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{2 \, {\left(e^{\left(-x\right)} + e^{x} - 1\right)}}{a {\left(e^{\left(-x\right)} + e^{x}\right)}^{2}}"," ",0,"-2*(e^(-x) + e^x - 1)/(a*(e^(-x) + e^x)^2)","A",0
191,1,22,0,0.141196," ","integrate(tanh(x)^2/(a+a*cosh(x)),x, algorithm=""giac"")","\frac{2 \, \arctan\left(e^{x}\right)}{a} + \frac{2}{a {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"2*arctan(e^x)/a + 2/(a*(e^(2*x) + 1))","A",0
192,1,22,0,0.139890," ","integrate(tanh(x)/(a+a*cosh(x)),x, algorithm=""giac"")","\frac{\log\left(e^{\left(2 \, x\right)} + 1\right)}{a} - \frac{2 \, \log\left(e^{x} + 1\right)}{a}"," ",0,"log(e^(2*x) + 1)/a - 2*log(e^x + 1)/a","A",0
193,1,52,0,0.127772," ","integrate(coth(x)/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{\log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{4 \, a} + \frac{\log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{4 \, a} + \frac{e^{\left(-x\right)} + e^{x} - 2}{4 \, a {\left(e^{\left(-x\right)} + e^{x} + 2\right)}}"," ",0,"-1/4*log(e^(-x) + e^x + 2)/a + 1/4*log(e^(-x) + e^x - 2)/a + 1/4*(e^(-x) + e^x - 2)/(a*(e^(-x) + e^x + 2))","A",0
194,1,35,0,0.147783," ","integrate(coth(x)^2/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{1}{2 \, a {\left(e^{x} - 1\right)}} - \frac{9 \, e^{\left(2 \, x\right)} + 12 \, e^{x} + 7}{6 \, a {\left(e^{x} + 1\right)}^{3}}"," ",0,"-1/2/(a*(e^x - 1)) - 1/6*(9*e^(2*x) + 12*e^x + 7)/(a*(e^x + 1)^3)","A",0
195,1,94,0,0.147868," ","integrate(coth(x)^3/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{3 \, \log\left(e^{\left(-x\right)} + e^{x} + 2\right)}{16 \, a} + \frac{3 \, \log\left(e^{\left(-x\right)} + e^{x} - 2\right)}{16 \, a} - \frac{3 \, e^{\left(-x\right)} + 3 \, e^{x} - 2}{16 \, a {\left(e^{\left(-x\right)} + e^{x} - 2\right)}} + \frac{9 \, {\left(e^{\left(-x\right)} + e^{x}\right)}^{2} + 4 \, e^{\left(-x\right)} + 4 \, e^{x} - 12}{32 \, a {\left(e^{\left(-x\right)} + e^{x} + 2\right)}^{2}}"," ",0,"-3/16*log(e^(-x) + e^x + 2)/a + 3/16*log(e^(-x) + e^x - 2)/a - 1/16*(3*e^(-x) + 3*e^x - 2)/(a*(e^(-x) + e^x - 2)) + 1/32*(9*(e^(-x) + e^x)^2 + 4*e^(-x) + 4*e^x - 12)/(a*(e^(-x) + e^x + 2)^2)","B",0
196,1,59,0,0.158818," ","integrate(coth(x)^4/(a+a*cosh(x)),x, algorithm=""giac"")","-\frac{15 \, e^{\left(2 \, x\right)} - 24 \, e^{x} + 13}{24 \, a {\left(e^{x} - 1\right)}^{3}} - \frac{165 \, e^{\left(4 \, x\right)} + 480 \, e^{\left(3 \, x\right)} + 650 \, e^{\left(2 \, x\right)} + 400 \, e^{x} + 113}{120 \, a {\left(e^{x} + 1\right)}^{5}}"," ",0,"-1/24*(15*e^(2*x) - 24*e^x + 13)/(a*(e^x - 1)^3) - 1/120*(165*e^(4*x) + 480*e^(3*x) + 650*e^(2*x) + 400*e^x + 113)/(a*(e^x + 1)^5)","A",0
197,0,0,0,0.000000," ","integrate((a+b*cosh(x))^(1/2)*tanh(x),x, algorithm=""giac"")","\int \sqrt{b \cosh\left(x\right) + a} \tanh\left(x\right)\,{d x}"," ",0,"integrate(sqrt(b*cosh(x) + a)*tanh(x), x)","F",0
198,0,0,0,0.000000," ","integrate(tanh(x)/(a+b*cosh(x))^(1/2),x, algorithm=""giac"")","\int \frac{\tanh\left(x\right)}{\sqrt{b \cosh\left(x\right) + a}}\,{d x}"," ",0,"integrate(tanh(x)/sqrt(b*cosh(x) + a), x)","F",0
199,1,60,0,0.133850," ","integrate((A+B*sinh(x))/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, A \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}}} - \frac{B x}{b} + \frac{B \log\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} + b\right)}{b}"," ",0,"2*A*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/sqrt(-a^2 + b^2) - B*x/b + B*log(b*e^(2*x) + 2*a*e^x + b)/b","A",0
200,1,22,0,0.120577," ","integrate((A+B*sinh(x))/(1+cosh(x)),x, algorithm=""giac"")","-B x + 2 \, B \log\left(e^{x} + 1\right) - \frac{2 \, A}{e^{x} + 1}"," ",0,"-B*x + 2*B*log(e^x + 1) - 2*A/(e^x + 1)","A",0
201,1,22,0,0.123230," ","integrate((A+B*sinh(x))/(1-cosh(x)),x, algorithm=""giac"")","B x - 2 \, B \log\left({\left| e^{x} - 1 \right|}\right) + \frac{2 \, A}{e^{x} - 1}"," ",0,"B*x - 2*B*log(abs(e^x - 1)) + 2*A/(e^x - 1)","A",0
202,1,66,0,0.123772," ","integrate((A+B*tanh(x))/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, A \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}}} - \frac{B \log\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} + b\right)}{a} + \frac{B \log\left(e^{\left(2 \, x\right)} + 1\right)}{a}"," ",0,"2*A*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/sqrt(-a^2 + b^2) - B*log(b*e^(2*x) + 2*a*e^x + b)/a + B*log(e^(2*x) + 1)/a","A",0
203,1,90,0,0.128855," ","integrate((A+B*coth(x))/(a+b*cosh(x)),x, algorithm=""giac"")","-\frac{B a \log\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} + b\right)}{a^{2} - b^{2}} + \frac{2 \, A \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}}} + \frac{B \log\left(e^{x} + 1\right)}{a - b} + \frac{B \log\left({\left| e^{x} - 1 \right|}\right)}{a + b}"," ",0,"-B*a*log(b*e^(2*x) + 2*a*e^x + b)/(a^2 - b^2) + 2*A*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/sqrt(-a^2 + b^2) + B*log(e^x + 1)/(a - b) + B*log(abs(e^x - 1))/(a + b)","A",0
204,1,53,0,0.125882," ","integrate((A+B*sech(x))/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{2 \, B \arctan\left(e^{x}\right)}{a} + \frac{2 \, {\left(A a - B b\right)} \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} a}"," ",0,"2*B*arctan(e^x)/a + 2*(A*a - B*b)*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*a)","A",0
205,1,90,0,0.154317," ","integrate((A+B*csch(x))/(a+b*cosh(x)),x, algorithm=""giac"")","\frac{B b \log\left(b e^{\left(2 \, x\right)} + 2 \, a e^{x} + b\right)}{a^{2} - b^{2}} + \frac{2 \, A \arctan\left(\frac{b e^{x} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}}} - \frac{B \log\left(e^{x} + 1\right)}{a - b} + \frac{B \log\left({\left| e^{x} - 1 \right|}\right)}{a + b}"," ",0,"B*b*log(b*e^(2*x) + 2*a*e^x + b)/(a^2 - b^2) + 2*A*arctan((b*e^x + a)/sqrt(-a^2 + b^2))/sqrt(-a^2 + b^2) - B*log(e^x + 1)/(a - b) + B*log(abs(e^x - 1))/(a + b)","A",0
206,1,97,0,0.158138," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d)),x, algorithm=""giac"")","{\left(\frac{{\left(x e + d\right)} {\left(B - C\right)}}{b} + \frac{C \log\left(b e^{\left(2 \, x e + 2 \, d\right)} + 2 \, a e^{\left(x e + d\right)} + b\right)}{b} - \frac{2 \, {\left(B a - A b\right)} \arctan\left(\frac{b e^{\left(x e + d\right)} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} b}\right)} e^{\left(-1\right)}"," ",0,"((x*e + d)*(B - C)/b + C*log(b*e^(2*x*e + 2*d) + 2*a*e^(x*e + d) + b)/b - 2*(B*a - A*b)*arctan((b*e^(x*e + d) + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b))*e^(-1)","A",0
207,1,161,0,0.184959," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d))^2,x, algorithm=""giac"")","2 \, {\left(\frac{{\left(A a - B b\right)} \arctan\left(\frac{b e^{\left(x e + d\right)} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{2} - b^{2}\right)} \sqrt{-a^{2} + b^{2}}} - \frac{B a^{2} e^{\left(x e + d\right)} + C a^{2} e^{\left(x e + d\right)} - A a b e^{\left(x e + d\right)} - C b^{2} e^{\left(x e + d\right)} + B a b - A b^{2}}{{\left(a^{2} b - b^{3}\right)} {\left(b e^{\left(2 \, x e + 2 \, d\right)} + 2 \, a e^{\left(x e + d\right)} + b\right)}}\right)} e^{\left(-1\right)}"," ",0,"2*((A*a - B*b)*arctan((b*e^(x*e + d) + a)/sqrt(-a^2 + b^2))/((a^2 - b^2)*sqrt(-a^2 + b^2)) - (B*a^2*e^(x*e + d) + C*a^2*e^(x*e + d) - A*a*b*e^(x*e + d) - C*b^2*e^(x*e + d) + B*a*b - A*b^2)/((a^2*b - b^3)*(b*e^(2*x*e + 2*d) + 2*a*e^(x*e + d) + b)))*e^(-1)","A",0
208,1,387,0,0.211652," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d))^3,x, algorithm=""giac"")","{\left(\frac{{\left(2 \, A a^{2} - 3 \, B a b + A b^{2}\right)} \arctan\left(\frac{b e^{\left(x e + d\right)} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{4} - 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{-a^{2} + b^{2}}} + \frac{2 \, A a^{2} b^{2} e^{\left(3 \, x e + 3 \, d\right)} - 3 \, B a b^{3} e^{\left(3 \, x e + 3 \, d\right)} + A b^{4} e^{\left(3 \, x e + 3 \, d\right)} - 2 \, B a^{4} e^{\left(2 \, x e + 2 \, d\right)} - 2 \, C a^{4} e^{\left(2 \, x e + 2 \, d\right)} + 6 \, A a^{3} b e^{\left(2 \, x e + 2 \, d\right)} - 5 \, B a^{2} b^{2} e^{\left(2 \, x e + 2 \, d\right)} + 4 \, C a^{2} b^{2} e^{\left(2 \, x e + 2 \, d\right)} + 3 \, A a b^{3} e^{\left(2 \, x e + 2 \, d\right)} - 2 \, B b^{4} e^{\left(2 \, x e + 2 \, d\right)} - 2 \, C b^{4} e^{\left(2 \, x e + 2 \, d\right)} - 4 \, B a^{3} b e^{\left(x e + d\right)} + 10 \, A a^{2} b^{2} e^{\left(x e + d\right)} - 5 \, B a b^{3} e^{\left(x e + d\right)} - A b^{4} e^{\left(x e + d\right)} - B a^{2} b^{2} + 3 \, A a b^{3} - 2 \, B b^{4}}{{\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} {\left(b e^{\left(2 \, x e + 2 \, d\right)} + 2 \, a e^{\left(x e + d\right)} + b\right)}^{2}}\right)} e^{\left(-1\right)}"," ",0,"((2*A*a^2 - 3*B*a*b + A*b^2)*arctan((b*e^(x*e + d) + a)/sqrt(-a^2 + b^2))/((a^4 - 2*a^2*b^2 + b^4)*sqrt(-a^2 + b^2)) + (2*A*a^2*b^2*e^(3*x*e + 3*d) - 3*B*a*b^3*e^(3*x*e + 3*d) + A*b^4*e^(3*x*e + 3*d) - 2*B*a^4*e^(2*x*e + 2*d) - 2*C*a^4*e^(2*x*e + 2*d) + 6*A*a^3*b*e^(2*x*e + 2*d) - 5*B*a^2*b^2*e^(2*x*e + 2*d) + 4*C*a^2*b^2*e^(2*x*e + 2*d) + 3*A*a*b^3*e^(2*x*e + 2*d) - 2*B*b^4*e^(2*x*e + 2*d) - 2*C*b^4*e^(2*x*e + 2*d) - 4*B*a^3*b*e^(x*e + d) + 10*A*a^2*b^2*e^(x*e + d) - 5*B*a*b^3*e^(x*e + d) - A*b^4*e^(x*e + d) - B*a^2*b^2 + 3*A*a*b^3 - 2*B*b^4)/((a^4*b - 2*a^2*b^3 + b^5)*(b*e^(2*x*e + 2*d) + 2*a*e^(x*e + d) + b)^2))*e^(-1)","B",0
209,1,688,0,0.246194," ","integrate((A+B*cosh(e*x+d)+C*sinh(e*x+d))/(a+b*cosh(e*x+d))^4,x, algorithm=""giac"")","\frac{1}{3} \, {\left(\frac{3 \, {\left(2 \, A a^{3} - 4 \, B a^{2} b + 3 \, A a b^{2} - B b^{3}\right)} \arctan\left(\frac{b e^{\left(x e + d\right)} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{{\left(a^{6} - 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} - b^{6}\right)} \sqrt{-a^{2} + b^{2}}} + \frac{6 \, A a^{3} b^{3} e^{\left(5 \, x e + 5 \, d\right)} - 12 \, B a^{2} b^{4} e^{\left(5 \, x e + 5 \, d\right)} + 9 \, A a b^{5} e^{\left(5 \, x e + 5 \, d\right)} - 3 \, B b^{6} e^{\left(5 \, x e + 5 \, d\right)} + 30 \, A a^{4} b^{2} e^{\left(4 \, x e + 4 \, d\right)} - 60 \, B a^{3} b^{3} e^{\left(4 \, x e + 4 \, d\right)} + 45 \, A a^{2} b^{4} e^{\left(4 \, x e + 4 \, d\right)} - 15 \, B a b^{5} e^{\left(4 \, x e + 4 \, d\right)} - 8 \, B a^{6} e^{\left(3 \, x e + 3 \, d\right)} - 8 \, C a^{6} e^{\left(3 \, x e + 3 \, d\right)} + 44 \, A a^{5} b e^{\left(3 \, x e + 3 \, d\right)} - 64 \, B a^{4} b^{2} e^{\left(3 \, x e + 3 \, d\right)} + 24 \, C a^{4} b^{2} e^{\left(3 \, x e + 3 \, d\right)} + 82 \, A a^{3} b^{3} e^{\left(3 \, x e + 3 \, d\right)} - 78 \, B a^{2} b^{4} e^{\left(3 \, x e + 3 \, d\right)} - 24 \, C a^{2} b^{4} e^{\left(3 \, x e + 3 \, d\right)} + 24 \, A a b^{5} e^{\left(3 \, x e + 3 \, d\right)} + 8 \, C b^{6} e^{\left(3 \, x e + 3 \, d\right)} - 24 \, B a^{5} b e^{\left(2 \, x e + 2 \, d\right)} + 102 \, A a^{4} b^{2} e^{\left(2 \, x e + 2 \, d\right)} - 102 \, B a^{3} b^{3} e^{\left(2 \, x e + 2 \, d\right)} + 36 \, A a^{2} b^{4} e^{\left(2 \, x e + 2 \, d\right)} - 24 \, B a b^{5} e^{\left(2 \, x e + 2 \, d\right)} + 12 \, A b^{6} e^{\left(2 \, x e + 2 \, d\right)} - 12 \, B a^{4} b^{2} e^{\left(x e + d\right)} + 60 \, A a^{3} b^{3} e^{\left(x e + d\right)} - 66 \, B a^{2} b^{4} e^{\left(x e + d\right)} + 15 \, A a b^{5} e^{\left(x e + d\right)} + 3 \, B b^{6} e^{\left(x e + d\right)} - 2 \, B a^{3} b^{3} + 11 \, A a^{2} b^{4} - 13 \, B a b^{5} + 4 \, A b^{6}}{{\left(a^{6} b - 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} - b^{7}\right)} {\left(b e^{\left(2 \, x e + 2 \, d\right)} + 2 \, a e^{\left(x e + d\right)} + b\right)}^{3}}\right)} e^{\left(-1\right)}"," ",0,"1/3*(3*(2*A*a^3 - 4*B*a^2*b + 3*A*a*b^2 - B*b^3)*arctan((b*e^(x*e + d) + a)/sqrt(-a^2 + b^2))/((a^6 - 3*a^4*b^2 + 3*a^2*b^4 - b^6)*sqrt(-a^2 + b^2)) + (6*A*a^3*b^3*e^(5*x*e + 5*d) - 12*B*a^2*b^4*e^(5*x*e + 5*d) + 9*A*a*b^5*e^(5*x*e + 5*d) - 3*B*b^6*e^(5*x*e + 5*d) + 30*A*a^4*b^2*e^(4*x*e + 4*d) - 60*B*a^3*b^3*e^(4*x*e + 4*d) + 45*A*a^2*b^4*e^(4*x*e + 4*d) - 15*B*a*b^5*e^(4*x*e + 4*d) - 8*B*a^6*e^(3*x*e + 3*d) - 8*C*a^6*e^(3*x*e + 3*d) + 44*A*a^5*b*e^(3*x*e + 3*d) - 64*B*a^4*b^2*e^(3*x*e + 3*d) + 24*C*a^4*b^2*e^(3*x*e + 3*d) + 82*A*a^3*b^3*e^(3*x*e + 3*d) - 78*B*a^2*b^4*e^(3*x*e + 3*d) - 24*C*a^2*b^4*e^(3*x*e + 3*d) + 24*A*a*b^5*e^(3*x*e + 3*d) + 8*C*b^6*e^(3*x*e + 3*d) - 24*B*a^5*b*e^(2*x*e + 2*d) + 102*A*a^4*b^2*e^(2*x*e + 2*d) - 102*B*a^3*b^3*e^(2*x*e + 2*d) + 36*A*a^2*b^4*e^(2*x*e + 2*d) - 24*B*a*b^5*e^(2*x*e + 2*d) + 12*A*b^6*e^(2*x*e + 2*d) - 12*B*a^4*b^2*e^(x*e + d) + 60*A*a^3*b^3*e^(x*e + d) - 66*B*a^2*b^4*e^(x*e + d) + 15*A*a*b^5*e^(x*e + d) + 3*B*b^6*e^(x*e + d) - 2*B*a^3*b^3 + 11*A*a^2*b^4 - 13*B*a*b^5 + 4*A*b^6)/((a^6*b - 3*a^4*b^3 + 3*a^2*b^5 - b^7)*(b*e^(2*x*e + 2*d) + 2*a*e^(x*e + d) + b)^3))*e^(-1)","B",0
210,0,0,0,0.000000," ","integrate(x/(a+b*cosh(x)^2),x, algorithm=""giac"")","\int \frac{x}{b \cosh\left(x\right)^{2} + a}\,{d x}"," ",0,"integrate(x/(b*cosh(x)^2 + a), x)","F",0
211,0,0,0,0.000000," ","integrate(x^2/(a+b*cosh(x)^2),x, algorithm=""giac"")","\int \frac{x^{2}}{b \cosh\left(x\right)^{2} + a}\,{d x}"," ",0,"integrate(x^2/(b*cosh(x)^2 + a), x)","F",0
212,0,0,0,0.000000," ","integrate(x^3/(a+b*cosh(x)^2),x, algorithm=""giac"")","\int \frac{x^{3}}{b \cosh\left(x\right)^{2} + a}\,{d x}"," ",0,"integrate(x^3/(b*cosh(x)^2 + a), x)","F",0
213,0,0,0,0.000000," ","integrate(cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^3/(-a^2*x^2+1),x, algorithm=""giac"")","\int -\frac{\cosh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)^{3}}{a^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))^3/(a^2*x^2 - 1), x)","F",0
214,0,0,0,0.000000," ","integrate(cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2/(-a^2*x^2+1),x, algorithm=""giac"")","\int -\frac{\cosh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)^{2}}{a^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))^2/(a^2*x^2 - 1), x)","F",0
215,0,0,0,0.000000," ","integrate(cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""giac"")","\int -\frac{\cosh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)}{a^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))/(a^2*x^2 - 1), x)","F",0
216,0,0,0,0.000000," ","integrate(1/(-a^2*x^2+1)/cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2)),x, algorithm=""giac"")","\int -\frac{1}{{\left(a^{2} x^{2} - 1\right)} \cosh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)}\,{d x}"," ",0,"integrate(-1/((a^2*x^2 - 1)*cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))), x)","F",0
217,0,0,0,0.000000," ","integrate(1/(-a^2*x^2+1)/cosh((-a*x+1)^(1/2)/(a*x+1)^(1/2))^2,x, algorithm=""giac"")","\int -\frac{1}{{\left(a^{2} x^{2} - 1\right)} \cosh\left(\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}\right)^{2}}\,{d x}"," ",0,"integrate(-1/((a^2*x^2 - 1)*cosh(sqrt(-a*x + 1)/sqrt(a*x + 1))^2), x)","F",0
218,0,0,0,0.000000," ","integrate(x*sinh(x)/(a+b*cosh(x))^2,x, algorithm=""giac"")","\int \frac{x \sinh\left(x\right)}{{\left(b \cosh\left(x\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(x*sinh(x)/(b*cosh(x) + a)^2, x)","F",0
219,0,0,0,0.000000," ","integrate(x*sinh(x)/(a+b*cosh(x))^3,x, algorithm=""giac"")","\int \frac{x \sinh\left(x\right)}{{\left(b \cosh\left(x\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate(x*sinh(x)/(b*cosh(x) + a)^3, x)","F",0
220,1,42,0,0.142260," ","integrate((2+cosh(b*x+a)^2)*sinh(b*x+a)/x,x, algorithm=""giac"")","\frac{1}{8} \, {\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)} - \frac{9}{8} \, {\rm Ei}\left(-b x\right) e^{\left(-a\right)} - \frac{1}{8} \, {\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)} + \frac{9}{8} \, {\rm Ei}\left(b x\right) e^{a}"," ",0,"1/8*Ei(3*b*x)*e^(3*a) - 9/8*Ei(-b*x)*e^(-a) - 1/8*Ei(-3*b*x)*e^(-3*a) + 9/8*Ei(b*x)*e^a","A",0
221,0,0,0,0.000000," ","integrate(x^m*sinh(d*x+c)/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{x^{m} \sinh\left(d x + c\right)}{b \cosh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(x^m*sinh(d*x + c)/(b*cosh(d*x + c) + a), x)","F",0
222,0,0,0,0.000000," ","integrate(x^3*sinh(d*x+c)/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{x^{3} \sinh\left(d x + c\right)}{b \cosh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(x^3*sinh(d*x + c)/(b*cosh(d*x + c) + a), x)","F",0
223,0,0,0,0.000000," ","integrate(x^2*sinh(d*x+c)/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{x^{2} \sinh\left(d x + c\right)}{b \cosh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(x^2*sinh(d*x + c)/(b*cosh(d*x + c) + a), x)","F",0
224,0,0,0,0.000000," ","integrate(x*sinh(d*x+c)/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{x \sinh\left(d x + c\right)}{b \cosh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(x*sinh(d*x + c)/(b*cosh(d*x + c) + a), x)","F",0
225,1,31,0,0.144028," ","integrate(sinh(d*x+c)/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\frac{\log\left({\left| b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 2 \, a \right|}\right)}{b d}"," ",0,"log(abs(b*(e^(d*x + c) + e^(-d*x - c)) + 2*a))/(b*d)","A",0
226,0,0,0,0.000000," ","integrate(sinh(d*x+c)/x/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{\sinh\left(d x + c\right)}{{\left(b \cosh\left(d x + c\right) + a\right)} x}\,{d x}"," ",0,"integrate(sinh(d*x + c)/((b*cosh(d*x + c) + a)*x), x)","F",0
227,0,0,0,0.000000," ","integrate(x^m*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{x^{m} \sinh\left(d x + c\right)^{2}}{b \cosh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(x^m*sinh(d*x + c)^2/(b*cosh(d*x + c) + a), x)","F",0
228,0,0,0,0.000000," ","integrate(x^3*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{x^{3} \sinh\left(d x + c\right)^{2}}{b \cosh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(x^3*sinh(d*x + c)^2/(b*cosh(d*x + c) + a), x)","F",0
229,0,0,0,0.000000," ","integrate(x^2*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{x^{2} \sinh\left(d x + c\right)^{2}}{b \cosh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(x^2*sinh(d*x + c)^2/(b*cosh(d*x + c) + a), x)","F",0
230,0,0,0,0.000000," ","integrate(x*sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{x \sinh\left(d x + c\right)^{2}}{b \cosh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(x*sinh(d*x + c)^2/(b*cosh(d*x + c) + a), x)","F",0
231,1,89,0,0.140300," ","integrate(sinh(d*x+c)^2/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(d x + c\right)} a}{b^{2}} - \frac{e^{\left(d x + c\right)}}{b} + \frac{e^{\left(-d x - c\right)}}{b} - \frac{4 \, {\left(a^{2} - b^{2}\right)} \arctan\left(\frac{b e^{\left(d x + c\right)} + a}{\sqrt{-a^{2} + b^{2}}}\right)}{\sqrt{-a^{2} + b^{2}} b^{2}}}{2 \, d}"," ",0,"-1/2*(2*(d*x + c)*a/b^2 - e^(d*x + c)/b + e^(-d*x - c)/b - 4*(a^2 - b^2)*arctan((b*e^(d*x + c) + a)/sqrt(-a^2 + b^2))/(sqrt(-a^2 + b^2)*b^2))/d","A",0
232,0,0,0,0.000000," ","integrate(sinh(d*x+c)^2/x/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{\sinh\left(d x + c\right)^{2}}{{\left(b \cosh\left(d x + c\right) + a\right)} x}\,{d x}"," ",0,"integrate(sinh(d*x + c)^2/((b*cosh(d*x + c) + a)*x), x)","F",0
233,0,0,0,0.000000," ","integrate(x^m*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{x^{m} \sinh\left(d x + c\right)^{3}}{b \cosh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(x^m*sinh(d*x + c)^3/(b*cosh(d*x + c) + a), x)","F",0
234,0,0,0,0.000000," ","integrate(x^3*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{x^{3} \sinh\left(d x + c\right)^{3}}{b \cosh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(x^3*sinh(d*x + c)^3/(b*cosh(d*x + c) + a), x)","F",0
235,-2,0,0,0.000000," ","integrate(x^2*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError >> type","F(-2)",0
236,0,0,0,0.000000," ","integrate(x*sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{x \sinh\left(d x + c\right)^{3}}{b \cosh\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(x*sinh(d*x + c)^3/(b*cosh(d*x + c) + a), x)","F",0
237,1,88,0,0.150086," ","integrate(sinh(d*x+c)^3/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\frac{\frac{b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}^{2} - 4 \, a {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)}}{b^{2}} + \frac{8 \, {\left(a^{2} - b^{2}\right)} \log\left({\left| b {\left(e^{\left(d x + c\right)} + e^{\left(-d x - c\right)}\right)} + 2 \, a \right|}\right)}{b^{3}}}{8 \, d}"," ",0,"1/8*((b*(e^(d*x + c) + e^(-d*x - c))^2 - 4*a*(e^(d*x + c) + e^(-d*x - c)))/b^2 + 8*(a^2 - b^2)*log(abs(b*(e^(d*x + c) + e^(-d*x - c)) + 2*a))/b^3)/d","A",0
238,0,0,0,0.000000," ","integrate(sinh(d*x+c)^3/x/(a+b*cosh(d*x+c)),x, algorithm=""giac"")","\int \frac{\sinh\left(d x + c\right)^{3}}{{\left(b \cosh\left(d x + c\right) + a\right)} x}\,{d x}"," ",0,"integrate(sinh(d*x + c)^3/((b*cosh(d*x + c) + a)*x), x)","F",0
239,1,47,0,0.124064," ","integrate(cosh(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{c^{b} x x^{b n} e^{a}}{2 \, {\left(b n + 1\right)}} - \frac{x e^{\left(-a\right)}}{2 \, {\left(b n - 1\right)} c^{b} x^{b n}}"," ",0,"1/2*c^b*x*x^(b*n)*e^a/(b*n + 1) - 1/2*x*e^(-a)/((b*n - 1)*c^b*x^(b*n))","A",0
240,1,169,0,0.174454," ","integrate(cosh(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{b c^{2 \, b} n x x^{2 \, b n} e^{\left(2 \, a\right)}}{2 \, {\left(4 \, b^{2} n^{2} - 1\right)}} + \frac{2 \, b^{2} n^{2} x}{4 \, b^{2} n^{2} - 1} - \frac{c^{2 \, b} x x^{2 \, b n} e^{\left(2 \, a\right)}}{4 \, {\left(4 \, b^{2} n^{2} - 1\right)}} - \frac{b n x e^{\left(-2 \, a\right)}}{2 \, {\left(4 \, b^{2} n^{2} - 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{x}{2 \, {\left(4 \, b^{2} n^{2} - 1\right)}} - \frac{x e^{\left(-2 \, a\right)}}{4 \, {\left(4 \, b^{2} n^{2} - 1\right)} c^{2 \, b} x^{2 \, b n}}"," ",0,"1/2*b*c^(2*b)*n*x*x^(2*b*n)*e^(2*a)/(4*b^2*n^2 - 1) + 2*b^2*n^2*x/(4*b^2*n^2 - 1) - 1/4*c^(2*b)*x*x^(2*b*n)*e^(2*a)/(4*b^2*n^2 - 1) - 1/2*b*n*x*e^(-2*a)/((4*b^2*n^2 - 1)*c^(2*b)*x^(2*b*n)) - 1/2*x/(4*b^2*n^2 - 1) - 1/4*x*e^(-2*a)/((4*b^2*n^2 - 1)*c^(2*b)*x^(2*b*n))","A",0
241,1,665,0,0.218218," ","integrate(cosh(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\frac{3 \, b^{3} c^{3 \, b} n^{3} x x^{3 \, b n} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} + \frac{27 \, b^{3} c^{b} n^{3} x x^{b n} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} - \frac{b^{2} c^{3 \, b} n^{2} x x^{3 \, b n} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} - \frac{27 \, b^{2} c^{b} n^{2} x x^{b n} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} - \frac{3 \, b c^{3 \, b} n x x^{3 \, b n} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} - \frac{27 \, b^{3} n^{3} x e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{b} x^{b n}} - \frac{3 \, b^{3} n^{3} x e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{3 \, b} x^{3 \, b n}} - \frac{3 \, b c^{b} n x x^{b n} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} + \frac{c^{3 \, b} x x^{3 \, b n} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} - \frac{27 \, b^{2} n^{2} x e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{b} x^{b n}} - \frac{b^{2} n^{2} x e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{3 \, c^{b} x x^{b n} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)}} + \frac{3 \, b n x e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{b} x^{b n}} + \frac{3 \, b n x e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{3 \, x e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{b} x^{b n}} + \frac{x e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} n^{2} + 1\right)} c^{3 \, b} x^{3 \, b n}}"," ",0,"3/8*b^3*c^(3*b)*n^3*x*x^(3*b*n)*e^(3*a)/(9*b^4*n^4 - 10*b^2*n^2 + 1) + 27/8*b^3*c^b*n^3*x*x^(b*n)*e^a/(9*b^4*n^4 - 10*b^2*n^2 + 1) - 1/8*b^2*c^(3*b)*n^2*x*x^(3*b*n)*e^(3*a)/(9*b^4*n^4 - 10*b^2*n^2 + 1) - 27/8*b^2*c^b*n^2*x*x^(b*n)*e^a/(9*b^4*n^4 - 10*b^2*n^2 + 1) - 3/8*b*c^(3*b)*n*x*x^(3*b*n)*e^(3*a)/(9*b^4*n^4 - 10*b^2*n^2 + 1) - 27/8*b^3*n^3*x*e^(-a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^b*x^(b*n)) - 3/8*b^3*n^3*x*e^(-3*a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^(3*b)*x^(3*b*n)) - 3/8*b*c^b*n*x*x^(b*n)*e^a/(9*b^4*n^4 - 10*b^2*n^2 + 1) + 1/8*c^(3*b)*x*x^(3*b*n)*e^(3*a)/(9*b^4*n^4 - 10*b^2*n^2 + 1) - 27/8*b^2*n^2*x*e^(-a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^b*x^(b*n)) - 1/8*b^2*n^2*x*e^(-3*a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^(3*b)*x^(3*b*n)) + 3/8*c^b*x*x^(b*n)*e^a/(9*b^4*n^4 - 10*b^2*n^2 + 1) + 3/8*b*n*x*e^(-a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^b*x^(b*n)) + 3/8*b*n*x*e^(-3*a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^(3*b)*x^(3*b*n)) + 3/8*x*e^(-a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^b*x^(b*n)) + 1/8*x*e^(-3*a)/((9*b^4*n^4 - 10*b^2*n^2 + 1)*c^(3*b)*x^(3*b*n))","B",0
242,1,777,0,0.237561," ","integrate(cosh(a+b*log(c*x^n))^4,x, algorithm=""giac"")","\frac{b^{3} c^{4 \, b} n^{3} x x^{4 \, b n} e^{\left(4 \, a\right)}}{64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1} + \frac{8 \, b^{3} c^{2 \, b} n^{3} x x^{2 \, b n} e^{\left(2 \, a\right)}}{64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1} + \frac{24 \, b^{4} n^{4} x}{64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1} - \frac{b^{2} c^{4 \, b} n^{2} x x^{4 \, b n} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} - \frac{4 \, b^{2} c^{2 \, b} n^{2} x x^{2 \, b n} e^{\left(2 \, a\right)}}{64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1} - \frac{b c^{4 \, b} n x x^{4 \, b n} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} - \frac{b c^{2 \, b} n x x^{2 \, b n} e^{\left(2 \, a\right)}}{2 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} - \frac{8 \, b^{3} n^{3} x e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{b^{3} n^{3} x e^{\left(-4 \, a\right)}}{{\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{4 \, b} x^{4 \, b n}} - \frac{15 \, b^{2} n^{2} x}{2 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} + \frac{c^{4 \, b} x x^{4 \, b n} e^{\left(4 \, a\right)}}{16 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} + \frac{c^{2 \, b} x x^{2 \, b n} e^{\left(2 \, a\right)}}{4 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} - \frac{4 \, b^{2} n^{2} x e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{b^{2} n^{2} x e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{b n x e^{\left(-2 \, a\right)}}{2 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{b n x e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, x}{8 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)}} + \frac{x e^{\left(-2 \, a\right)}}{4 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{x e^{\left(-4 \, a\right)}}{16 \, {\left(64 \, b^{4} n^{4} - 20 \, b^{2} n^{2} + 1\right)} c^{4 \, b} x^{4 \, b n}}"," ",0,"b^3*c^(4*b)*n^3*x*x^(4*b*n)*e^(4*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) + 8*b^3*c^(2*b)*n^3*x*x^(2*b*n)*e^(2*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) + 24*b^4*n^4*x/(64*b^4*n^4 - 20*b^2*n^2 + 1) - 1/4*b^2*c^(4*b)*n^2*x*x^(4*b*n)*e^(4*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) - 4*b^2*c^(2*b)*n^2*x*x^(2*b*n)*e^(2*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) - 1/4*b*c^(4*b)*n*x*x^(4*b*n)*e^(4*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) - 1/2*b*c^(2*b)*n*x*x^(2*b*n)*e^(2*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) - 8*b^3*n^3*x*e^(-2*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(2*b)*x^(2*b*n)) - b^3*n^3*x*e^(-4*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(4*b)*x^(4*b*n)) - 15/2*b^2*n^2*x/(64*b^4*n^4 - 20*b^2*n^2 + 1) + 1/16*c^(4*b)*x*x^(4*b*n)*e^(4*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) + 1/4*c^(2*b)*x*x^(2*b*n)*e^(2*a)/(64*b^4*n^4 - 20*b^2*n^2 + 1) - 4*b^2*n^2*x*e^(-2*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(2*b)*x^(2*b*n)) - 1/4*b^2*n^2*x*e^(-4*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(4*b)*x^(4*b*n)) + 1/2*b*n*x*e^(-2*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(2*b)*x^(2*b*n)) + 1/4*b*n*x*e^(-4*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(4*b)*x^(4*b*n)) + 3/8*x/(64*b^4*n^4 - 20*b^2*n^2 + 1) + 1/4*x*e^(-2*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(2*b)*x^(2*b*n)) + 1/16*x*e^(-4*a)/((64*b^4*n^4 - 20*b^2*n^2 + 1)*c^(4*b)*x^(4*b*n))","B",0
243,1,235,0,0.162789," ","integrate(x^m*cosh(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b c^{b} n x x^{b n} x^{m} e^{a}}{2 \, {\left(b^{2} n^{2} - m^{2} - 2 \, m - 1\right)}} - \frac{c^{b} m x x^{b n} x^{m} e^{a}}{2 \, {\left(b^{2} n^{2} - m^{2} - 2 \, m - 1\right)}} - \frac{c^{b} x x^{b n} x^{m} e^{a}}{2 \, {\left(b^{2} n^{2} - m^{2} - 2 \, m - 1\right)}} - \frac{b n x x^{m} e^{\left(-a\right)}}{2 \, {\left(b^{2} n^{2} - m^{2} - 2 \, m - 1\right)} c^{b} x^{b n}} - \frac{m x x^{m} e^{\left(-a\right)}}{2 \, {\left(b^{2} n^{2} - m^{2} - 2 \, m - 1\right)} c^{b} x^{b n}} - \frac{x x^{m} e^{\left(-a\right)}}{2 \, {\left(b^{2} n^{2} - m^{2} - 2 \, m - 1\right)} c^{b} x^{b n}}"," ",0,"1/2*b*c^b*n*x*x^(b*n)*x^m*e^a/(b^2*n^2 - m^2 - 2*m - 1) - 1/2*c^b*m*x*x^(b*n)*x^m*e^a/(b^2*n^2 - m^2 - 2*m - 1) - 1/2*c^b*x*x^(b*n)*x^m*e^a/(b^2*n^2 - m^2 - 2*m - 1) - 1/2*b*n*x*x^m*e^(-a)/((b^2*n^2 - m^2 - 2*m - 1)*c^b*x^(b*n)) - 1/2*m*x*x^m*e^(-a)/((b^2*n^2 - m^2 - 2*m - 1)*c^b*x^(b*n)) - 1/2*x*x^m*e^(-a)/((b^2*n^2 - m^2 - 2*m - 1)*c^b*x^(b*n))","B",0
244,1,759,0,0.218191," ","integrate(x^m*cosh(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{b c^{2 \, b} m n x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} - \frac{c^{2 \, b} m^{2} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{4 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} + \frac{b c^{2 \, b} n x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} + \frac{2 \, b^{2} n^{2} x x^{m}}{4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1} - \frac{c^{2 \, b} m x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} - \frac{c^{2 \, b} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{4 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} - \frac{m^{2} x x^{m}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} - \frac{b m n x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{m x x^{m}}{4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1} - \frac{m^{2} x x^{m} e^{\left(-2 \, a\right)}}{4 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{b n x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{x x^{m}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)}} - \frac{m x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{x x^{m} e^{\left(-2 \, a\right)}}{4 \, {\left(4 \, b^{2} m n^{2} + 4 \, b^{2} n^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1\right)} c^{2 \, b} x^{2 \, b n}}"," ",0,"1/2*b*c^(2*b)*m*n*x*x^(2*b*n)*x^m*e^(2*a)/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 1/4*c^(2*b)*m^2*x*x^(2*b*n)*x^m*e^(2*a)/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) + 1/2*b*c^(2*b)*n*x*x^(2*b*n)*x^m*e^(2*a)/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) + 2*b^2*n^2*x*x^m/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 1/2*c^(2*b)*m*x*x^(2*b*n)*x^m*e^(2*a)/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 1/4*c^(2*b)*x*x^(2*b*n)*x^m*e^(2*a)/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 1/2*m^2*x*x^m/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 1/2*b*m*n*x*x^m*e^(-2*a)/((4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1)*c^(2*b)*x^(2*b*n)) - m*x*x^m/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 1/4*m^2*x*x^m*e^(-2*a)/((4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1)*c^(2*b)*x^(2*b*n)) - 1/2*b*n*x*x^m*e^(-2*a)/((4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1)*c^(2*b)*x^(2*b*n)) - 1/2*x*x^m/(4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1) - 1/2*m*x*x^m*e^(-2*a)/((4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1)*c^(2*b)*x^(2*b*n)) - 1/4*x*x^m*e^(-2*a)/((4*b^2*m*n^2 + 4*b^2*n^2 - m^3 - 3*m^2 - 3*m - 1)*c^(2*b)*x^(2*b*n))","B",0
245,1,3225,0,0.285014," ","integrate(x^m*cosh(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\frac{3 \, b^{3} c^{3 \, b} n^{3} x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{27 \, b^{3} c^{b} n^{3} x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{b^{2} c^{3 \, b} m n^{2} x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{27 \, b^{2} c^{b} m n^{2} x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{3 \, b c^{3 \, b} m^{2} n x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{b^{2} c^{3 \, b} n^{2} x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{3 \, b c^{b} m^{2} n x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{27 \, b^{2} c^{b} n^{2} x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{c^{3 \, b} m^{3} x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{3 \, b c^{3 \, b} m n x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{4 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{3 \, c^{b} m^{3} x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{3 \, b c^{b} m n x x^{b n} x^{m} e^{a}}{4 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{3 \, c^{3 \, b} m^{2} x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{3 \, b c^{3 \, b} n x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{27 \, b^{3} n^{3} x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} - \frac{3 \, b^{3} n^{3} x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{9 \, c^{b} m^{2} x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{3 \, b c^{b} n x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{3 \, c^{3 \, b} m x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} - \frac{27 \, b^{2} m n^{2} x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} - \frac{b^{2} m n^{2} x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{9 \, c^{b} m x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{c^{3 \, b} x x^{3 \, b n} x^{m} e^{\left(3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{3 \, b m^{2} n x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} - \frac{27 \, b^{2} n^{2} x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} + \frac{3 \, b m^{2} n x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} - \frac{b^{2} n^{2} x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{3 \, c^{b} x x^{b n} x^{m} e^{a}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)}} + \frac{3 \, m^{3} x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} + \frac{3 \, b m n x x^{m} e^{\left(-a\right)}}{4 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} + \frac{m^{3} x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{3 \, b m n x x^{m} e^{\left(-3 \, a\right)}}{4 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{9 \, m^{2} x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} + \frac{3 \, b n x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} + \frac{3 \, m^{2} x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{3 \, b n x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{9 \, m x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} + \frac{3 \, m x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}} + \frac{3 \, x x^{m} e^{\left(-a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{b} x^{b n}} + \frac{x x^{m} e^{\left(-3 \, a\right)}}{8 \, {\left(9 \, b^{4} n^{4} - 10 \, b^{2} m^{2} n^{2} - 20 \, b^{2} m n^{2} + m^{4} - 10 \, b^{2} n^{2} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} c^{3 \, b} x^{3 \, b n}}"," ",0,"3/8*b^3*c^(3*b)*n^3*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 27/8*b^3*c^b*n^3*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 1/8*b^2*c^(3*b)*m*n^2*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 27/8*b^2*c^b*m*n^2*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 3/8*b*c^(3*b)*m^2*n*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 1/8*b^2*c^(3*b)*n^2*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 3/8*b*c^b*m^2*n*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 27/8*b^2*c^b*n^2*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 1/8*c^(3*b)*m^3*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 3/4*b*c^(3*b)*m*n*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 3/8*c^b*m^3*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 3/4*b*c^b*m*n*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 3/8*c^(3*b)*m^2*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 3/8*b*c^(3*b)*n*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 27/8*b^3*n^3*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) - 3/8*b^3*n^3*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) + 9/8*c^b*m^2*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 3/8*b*c^b*n*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 3/8*c^(3*b)*m*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) - 27/8*b^2*m*n^2*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) - 1/8*b^2*m*n^2*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) + 9/8*c^b*m*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 1/8*c^(3*b)*x*x^(3*b*n)*x^m*e^(3*a)/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 3/8*b*m^2*n*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) - 27/8*b^2*n^2*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) + 3/8*b*m^2*n*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) - 1/8*b^2*n^2*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) + 3/8*c^b*x*x^(b*n)*x^m*e^a/(9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1) + 3/8*m^3*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) + 3/4*b*m*n*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) + 1/8*m^3*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) + 3/4*b*m*n*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) + 9/8*m^2*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) + 3/8*b*n*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) + 3/8*m^2*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) + 3/8*b*n*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) + 9/8*m*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) + 3/8*m*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n)) + 3/8*x*x^m*e^(-a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^b*x^(b*n)) + 1/8*x*x^m*e^(-3*a)/((9*b^4*n^4 - 10*b^2*m^2*n^2 - 20*b^2*m*n^2 + m^4 - 10*b^2*n^2 + 4*m^3 + 6*m^2 + 4*m + 1)*c^(3*b)*x^(3*b*n))","B",0
246,1,6880,0,0.413385," ","integrate(x^m*cosh(a+b*log(c*x^n))^4,x, algorithm=""giac"")","\frac{b^{3} c^{4 \, b} m n^{3} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} + \frac{8 \, b^{3} c^{2 \, b} m n^{3} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} - \frac{b^{2} c^{4 \, b} m^{2} n^{2} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{b^{3} c^{4 \, b} n^{3} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} - \frac{4 \, b^{2} c^{2 \, b} m^{2} n^{2} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} + \frac{8 \, b^{3} c^{2 \, b} n^{3} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} + \frac{24 \, b^{4} n^{4} x x^{m}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} - \frac{b c^{4 \, b} m^{3} n x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{b^{2} c^{4 \, b} m n^{2} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{b c^{2 \, b} m^{3} n x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{8 \, b^{2} c^{2 \, b} m n^{2} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} + \frac{c^{4 \, b} m^{4} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{16 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{3 \, b c^{4 \, b} m^{2} n x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{b^{2} c^{4 \, b} n^{2} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{c^{2 \, b} m^{4} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{3 \, b c^{2 \, b} m^{2} n x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{4 \, b^{2} c^{2 \, b} n^{2} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} - \frac{15 \, b^{2} m^{2} n^{2} x x^{m}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{c^{4 \, b} m^{3} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{3 \, b c^{4 \, b} m n x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{c^{2 \, b} m^{3} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} - \frac{3 \, b c^{2 \, b} m n x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{8 \, b^{3} m n^{3} x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{b^{3} m n^{3} x x^{m} e^{\left(-4 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} - \frac{15 \, b^{2} m n^{2} x x^{m}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} + \frac{3 \, c^{4 \, b} m^{2} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{8 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{b c^{4 \, b} n x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{3 \, c^{2 \, b} m^{2} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{b c^{2 \, b} n x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{4 \, b^{2} m^{2} n^{2} x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{8 \, b^{3} n^{3} x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{b^{2} m^{2} n^{2} x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} - \frac{b^{3} n^{3} x x^{m} e^{\left(-4 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, m^{4} x x^{m}}{8 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} - \frac{15 \, b^{2} n^{2} x x^{m}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{c^{4 \, b} m x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{c^{2 \, b} m x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1} + \frac{b m^{3} n x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{8 \, b^{2} m n^{2} x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{b m^{3} n x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} - \frac{b^{2} m n^{2} x x^{m} e^{\left(-4 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, m^{3} x x^{m}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{c^{4 \, b} x x^{4 \, b n} x^{m} e^{\left(4 \, a\right)}}{16 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{c^{2 \, b} x x^{2 \, b n} x^{m} e^{\left(2 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{m^{4} x x^{m} e^{\left(-2 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{3 \, b m^{2} n x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} - \frac{4 \, b^{2} n^{2} x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{m^{4} x x^{m} e^{\left(-4 \, a\right)}}{16 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, b m^{2} n x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} - \frac{b^{2} n^{2} x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{9 \, m^{2} x x^{m}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{m^{3} x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{3 \, b m n x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{m^{3} x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, b m n x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, m x x^{m}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{3 \, m^{2} x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{b n x x^{m} e^{\left(-2 \, a\right)}}{2 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{3 \, m^{2} x x^{m} e^{\left(-4 \, a\right)}}{8 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{b n x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{3 \, x x^{m}}{8 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)}} + \frac{m x x^{m} e^{\left(-2 \, a\right)}}{{\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{m x x^{m} e^{\left(-4 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}} + \frac{x x^{m} e^{\left(-2 \, a\right)}}{4 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{2 \, b} x^{2 \, b n}} + \frac{x x^{m} e^{\left(-4 \, a\right)}}{16 \, {\left(64 \, b^{4} m n^{4} + 64 \, b^{4} n^{4} - 20 \, b^{2} m^{3} n^{2} - 60 \, b^{2} m^{2} n^{2} + m^{5} - 60 \, b^{2} m n^{2} + 5 \, m^{4} - 20 \, b^{2} n^{2} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} c^{4 \, b} x^{4 \, b n}}"," ",0,"b^3*c^(4*b)*m*n^3*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 8*b^3*c^(2*b)*m*n^3*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/4*b^2*c^(4*b)*m^2*n^2*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + b^3*c^(4*b)*n^3*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 4*b^2*c^(2*b)*m^2*n^2*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 8*b^3*c^(2*b)*n^3*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 24*b^4*n^4*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/4*b*c^(4*b)*m^3*n*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/2*b^2*c^(4*b)*m*n^2*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/2*b*c^(2*b)*m^3*n*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 8*b^2*c^(2*b)*m*n^2*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/16*c^(4*b)*m^4*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 3/4*b*c^(4*b)*m^2*n*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/4*b^2*c^(4*b)*n^2*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/4*c^(2*b)*m^4*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 3/2*b*c^(2*b)*m^2*n*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 4*b^2*c^(2*b)*n^2*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 15/2*b^2*m^2*n^2*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/4*c^(4*b)*m^3*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 3/4*b*c^(4*b)*m*n*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + c^(2*b)*m^3*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 3/2*b*c^(2*b)*m*n*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 8*b^3*m*n^3*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) - b^3*m*n^3*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) - 15*b^2*m*n^2*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 3/8*c^(4*b)*m^2*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/4*b*c^(4*b)*n*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 3/2*c^(2*b)*m^2*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 1/2*b*c^(2*b)*n*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 4*b^2*m^2*n^2*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) - 8*b^3*n^3*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) - 1/4*b^2*m^2*n^2*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) - b^3*n^3*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 3/8*m^4*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) - 15/2*b^2*n^2*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/4*c^(4*b)*m*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + c^(2*b)*m*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/2*b*m^3*n*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) - 8*b^2*m*n^2*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 1/4*b*m^3*n*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) - 1/2*b^2*m*n^2*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 3/2*m^3*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/16*c^(4*b)*x*x^(4*b*n)*x^m*e^(4*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/4*c^(2*b)*x*x^(2*b*n)*x^m*e^(2*a)/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 1/4*m^4*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 3/2*b*m^2*n*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) - 4*b^2*n^2*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 1/16*m^4*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 3/4*b*m^2*n*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) - 1/4*b^2*n^2*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 9/4*m^2*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + m^3*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 3/2*b*m*n*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 1/4*m^3*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 3/4*b*m*n*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 3/2*m*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + 3/2*m^2*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 1/2*b*n*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 3/8*m^2*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 1/4*b*n*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 3/8*x*x^m/(64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1) + m*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 1/4*m*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n)) + 1/4*x*x^m*e^(-2*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(2*b)*x^(2*b*n)) + 1/16*x*x^m*e^(-4*a)/((64*b^4*m*n^4 + 64*b^4*n^4 - 20*b^2*m^3*n^2 - 60*b^2*m^2*n^2 + m^5 - 60*b^2*m*n^2 + 5*m^4 - 20*b^2*n^2 + 10*m^3 + 10*m^2 + 5*m + 1)*c^(4*b)*x^(4*b*n))","B",0
247,1,42,0,0.121597," ","integrate(cosh(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{{\left(c^{2 \, b} x^{b n} e^{\left(2 \, a\right)} - \frac{1}{x^{b n}}\right)} e^{\left(-a\right)}}{2 \, b c^{b} n}"," ",0,"1/2*(c^(2*b)*x^(b*n)*e^(2*a) - 1/x^(b*n))*e^(-a)/(b*c^b*n)","B",0
248,1,80,0,0.130425," ","integrate(cosh(a+b*log(c*x^n))^2/x,x, algorithm=""giac"")","\frac{{\left(4 \, b c^{2 \, b} n e^{\left(2 \, a\right)} \log\left(x\right) + c^{4 \, b} x^{2 \, b n} e^{\left(4 \, a\right)} - \frac{2 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1}{x^{2 \, b n}}\right)} e^{\left(-2 \, a\right)}}{8 \, b c^{2 \, b} n}"," ",0,"1/8*(4*b*c^(2*b)*n*e^(2*a)*log(x) + c^(4*b)*x^(2*b*n)*e^(4*a) - (2*c^(2*b)*x^(2*b*n)*e^(2*a) + 1)/x^(2*b*n))*e^(-2*a)/(b*c^(2*b)*n)","B",0
249,1,81,0,0.156225," ","integrate(cosh(a+b*log(c*x^n))^3/x,x, algorithm=""giac"")","\frac{{\left(c^{6 \, b} x^{3 \, b n} e^{\left(6 \, a\right)} + 9 \, c^{4 \, b} x^{b n} e^{\left(4 \, a\right)} - \frac{9 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1}{x^{3 \, b n}}\right)} e^{\left(-3 \, a\right)}}{24 \, b c^{3 \, b} n}"," ",0,"1/24*(c^(6*b)*x^(3*b*n)*e^(6*a) + 9*c^(4*b)*x^(b*n)*e^(4*a) - (9*c^(2*b)*x^(2*b*n)*e^(2*a) + 1)/x^(3*b*n))*e^(-3*a)/(b*c^(3*b)*n)","B",0
250,1,114,0,0.147654," ","integrate(cosh(a+b*log(c*x^n))^4/x,x, algorithm=""giac"")","\frac{{\left(24 \, b c^{4 \, b} n e^{\left(4 \, a\right)} \log\left(x\right) + c^{8 \, b} x^{4 \, b n} e^{\left(8 \, a\right)} + 8 \, c^{6 \, b} x^{2 \, b n} e^{\left(6 \, a\right)} - \frac{18 \, c^{4 \, b} x^{4 \, b n} e^{\left(4 \, a\right)} + 8 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 1}{x^{4 \, b n}}\right)} e^{\left(-4 \, a\right)}}{64 \, b c^{4 \, b} n}"," ",0,"1/64*(24*b*c^(4*b)*n*e^(4*a)*log(x) + c^(8*b)*x^(4*b*n)*e^(8*a) + 8*c^(6*b)*x^(2*b*n)*e^(6*a) - (18*c^(4*b)*x^(4*b*n)*e^(4*a) + 8*c^(2*b)*x^(2*b*n)*e^(2*a) + 1)/x^(4*b*n))*e^(-4*a)/(b*c^(4*b)*n)","A",0
251,1,116,0,0.169608," ","integrate(cosh(a+b*log(c*x^n))^5/x,x, algorithm=""giac"")","\frac{{\left(3 \, c^{10 \, b} x^{5 \, b n} e^{\left(10 \, a\right)} + 25 \, c^{8 \, b} x^{3 \, b n} e^{\left(8 \, a\right)} + 150 \, c^{6 \, b} x^{b n} e^{\left(6 \, a\right)} - \frac{150 \, c^{4 \, b} x^{4 \, b n} e^{\left(4 \, a\right)} + 25 \, c^{2 \, b} x^{2 \, b n} e^{\left(2 \, a\right)} + 3}{x^{5 \, b n}}\right)} e^{\left(-5 \, a\right)}}{480 \, b c^{5 \, b} n}"," ",0,"1/480*(3*c^(10*b)*x^(5*b*n)*e^(10*a) + 25*c^(8*b)*x^(3*b*n)*e^(8*a) + 150*c^(6*b)*x^(b*n)*e^(6*a) - (150*c^(4*b)*x^(4*b*n)*e^(4*a) + 25*c^(2*b)*x^(2*b*n)*e^(2*a) + 3)/x^(5*b*n))*e^(-5*a)/(b*c^(5*b)*n)","A",0
252,0,0,0,0.000000," ","integrate(cosh(a+b*log(c*x^n))^(5/2)/x,x, algorithm=""giac"")","\int \frac{\cosh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}{x}\,{d x}"," ",0,"integrate(cosh(b*log(c*x^n) + a)^(5/2)/x, x)","F",0
253,0,0,0,0.000000," ","integrate(cosh(a+b*log(c*x^n))^(3/2)/x,x, algorithm=""giac"")","\int \frac{\cosh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate(cosh(b*log(c*x^n) + a)^(3/2)/x, x)","F",0
254,0,0,0,0.000000," ","integrate(cosh(a+b*log(c*x^n))^(1/2)/x,x, algorithm=""giac"")","\int \frac{\sqrt{\cosh\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(cosh(b*log(c*x^n) + a))/x, x)","F",0
255,0,0,0,0.000000," ","integrate(1/x/cosh(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\int \frac{1}{x \sqrt{\cosh\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(x*sqrt(cosh(b*log(c*x^n) + a))), x)","F",0
256,0,0,0,0.000000," ","integrate(1/x/cosh(a+b*log(c*x^n))^(3/2),x, algorithm=""giac"")","\int \frac{1}{x \cosh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x*cosh(b*log(c*x^n) + a)^(3/2)), x)","F",0
257,0,0,0,0.000000," ","integrate(1/x/cosh(a+b*log(c*x^n))^(5/2),x, algorithm=""giac"")","\int \frac{1}{x \cosh\left(b \log\left(c x^{n}\right) + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x*cosh(b*log(c*x^n) + a)^(5/2)), x)","F",0
258,-1,0,0,0.000000," ","integrate(cosh(a+2*log(c*x^n)/n)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
259,-1,0,0,0.000000," ","integrate(cosh(a+2*log(c*x^n)/n)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
260,-1,0,0,0.000000," ","integrate(1/cosh(a+2*log(c*x^n)/n)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
261,-1,0,0,0.000000," ","integrate(1/cosh(a+2*log(c*x^n)/n)^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
262,1,764,0,5.287505," ","integrate(cosh((b*x+a)/(d*x+c)),x, algorithm=""giac"")","\frac{{\left(b^{3} c^{2} {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}} - 2 \, a b^{2} c d {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}} - \frac{{\left(b x + a\right)} b^{2} c^{2} d {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}}}{d x + c} + a^{2} b d^{2} {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}} + \frac{2 \, {\left(b x + a\right)} a b c d^{2} {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}}}{d x + c} - \frac{{\left(b x + a\right)} a^{2} d^{3} {\rm Ei}\left(-\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\frac{b}{d}}}{d x + c} + b^{2} c^{2} d e^{\left(\frac{b x + a}{d x + c}\right)} - 2 \, a b c d^{2} e^{\left(\frac{b x + a}{d x + c}\right)} + a^{2} d^{3} e^{\left(\frac{b x + a}{d x + c}\right)}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}}{2 \, {\left(b d^{2} - \frac{{\left(b x + a\right)} d^{3}}{d x + c}\right)}} - \frac{{\left(b^{3} c^{2} {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)} - 2 \, a b^{2} c d {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)} - \frac{{\left(b x + a\right)} b^{2} c^{2} d {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)}}{d x + c} + a^{2} b d^{2} {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)} + \frac{2 \, {\left(b x + a\right)} a b c d^{2} {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)}}{d x + c} - \frac{{\left(b x + a\right)} a^{2} d^{3} {\rm Ei}\left(\frac{b - \frac{{\left(b x + a\right)} d}{d x + c}}{d}\right) e^{\left(-\frac{b}{d}\right)}}{d x + c} - b^{2} c^{2} d e^{\left(-\frac{b x + a}{d x + c}\right)} + 2 \, a b c d^{2} e^{\left(-\frac{b x + a}{d x + c}\right)} - a^{2} d^{3} e^{\left(-\frac{b x + a}{d x + c}\right)}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}}{2 \, {\left(b d^{2} - \frac{{\left(b x + a\right)} d^{3}}{d x + c}\right)}}"," ",0,"1/2*(b^3*c^2*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d) - 2*a*b^2*c*d*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d) - (b*x + a)*b^2*c^2*d*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d)/(d*x + c) + a^2*b*d^2*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d) + 2*(b*x + a)*a*b*c*d^2*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d)/(d*x + c) - (b*x + a)*a^2*d^3*Ei(-(b - (b*x + a)*d/(d*x + c))/d)*e^(b/d)/(d*x + c) + b^2*c^2*d*e^((b*x + a)/(d*x + c)) - 2*a*b*c*d^2*e^((b*x + a)/(d*x + c)) + a^2*d^3*e^((b*x + a)/(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)/(b*d^2 - (b*x + a)*d^3/(d*x + c)) - 1/2*(b^3*c^2*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d) - 2*a*b^2*c*d*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d) - (b*x + a)*b^2*c^2*d*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d)/(d*x + c) + a^2*b*d^2*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d) + 2*(b*x + a)*a*b*c*d^2*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d)/(d*x + c) - (b*x + a)*a^2*d^3*Ei((b - (b*x + a)*d/(d*x + c))/d)*e^(-b/d)/(d*x + c) - b^2*c^2*d*e^(-(b*x + a)/(d*x + c)) + 2*a*b*c*d^2*e^(-(b*x + a)/(d*x + c)) - a^2*d^3*e^(-(b*x + a)/(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)/(b*d^2 - (b*x + a)*d^3/(d*x + c))","B",0
263,1,749,0,15.289409," ","integrate(cosh((b*x+a)/(d*x+c))^2,x, algorithm=""giac"")","\frac{{\left(2 \, b^{3} c^{2} {\rm Ei}\left(-\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, b}{d}\right)} - 4 \, a b^{2} c d {\rm Ei}\left(-\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, b}{d}\right)} - \frac{2 \, {\left(b x + a\right)} b^{2} c^{2} d {\rm Ei}\left(-\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, b}{d}\right)}}{d x + c} + 2 \, a^{2} b d^{2} {\rm Ei}\left(-\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, b}{d}\right)} + \frac{4 \, {\left(b x + a\right)} a b c d^{2} {\rm Ei}\left(-\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, b}{d}\right)}}{d x + c} - \frac{2 \, {\left(b x + a\right)} a^{2} d^{3} {\rm Ei}\left(-\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(\frac{2 \, b}{d}\right)}}{d x + c} - 2 \, b^{3} c^{2} {\rm Ei}\left(\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, b}{d}\right)} + 4 \, a b^{2} c d {\rm Ei}\left(\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, b}{d}\right)} + \frac{2 \, {\left(b x + a\right)} b^{2} c^{2} d {\rm Ei}\left(\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, b}{d}\right)}}{d x + c} - 2 \, a^{2} b d^{2} {\rm Ei}\left(\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, b}{d}\right)} - \frac{4 \, {\left(b x + a\right)} a b c d^{2} {\rm Ei}\left(\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, b}{d}\right)}}{d x + c} + \frac{2 \, {\left(b x + a\right)} a^{2} d^{3} {\rm Ei}\left(\frac{2 \, {\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}}{d}\right) e^{\left(-\frac{2 \, b}{d}\right)}}{d x + c} + b^{2} c^{2} d e^{\left(\frac{2 \, {\left(b x + a\right)}}{d x + c}\right)} - 2 \, a b c d^{2} e^{\left(\frac{2 \, {\left(b x + a\right)}}{d x + c}\right)} + a^{2} d^{3} e^{\left(\frac{2 \, {\left(b x + a\right)}}{d x + c}\right)} + b^{2} c^{2} d e^{\left(-\frac{2 \, {\left(b x + a\right)}}{d x + c}\right)} - 2 \, a b c d^{2} e^{\left(-\frac{2 \, {\left(b x + a\right)}}{d x + c}\right)} + a^{2} d^{3} e^{\left(-\frac{2 \, {\left(b x + a\right)}}{d x + c}\right)} + 2 \, b^{2} c^{2} d - 4 \, a b c d^{2} + 2 \, a^{2} d^{3}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}}{4 \, {\left(b d^{2} - \frac{{\left(b x + a\right)} d^{3}}{d x + c}\right)}}"," ",0,"1/4*(2*b^3*c^2*Ei(-2*(b - (b*x + a)*d/(d*x + c))/d)*e^(2*b/d) - 4*a*b^2*c*d*Ei(-2*(b - (b*x + a)*d/(d*x + c))/d)*e^(2*b/d) - 2*(b*x + a)*b^2*c^2*d*Ei(-2*(b - (b*x + a)*d/(d*x + c))/d)*e^(2*b/d)/(d*x + c) + 2*a^2*b*d^2*Ei(-2*(b - (b*x + a)*d/(d*x + c))/d)*e^(2*b/d) + 4*(b*x + a)*a*b*c*d^2*Ei(-2*(b - (b*x + a)*d/(d*x + c))/d)*e^(2*b/d)/(d*x + c) - 2*(b*x + a)*a^2*d^3*Ei(-2*(b - (b*x + a)*d/(d*x + c))/d)*e^(2*b/d)/(d*x + c) - 2*b^3*c^2*Ei(2*(b - (b*x + a)*d/(d*x + c))/d)*e^(-2*b/d) + 4*a*b^2*c*d*Ei(2*(b - (b*x + a)*d/(d*x + c))/d)*e^(-2*b/d) + 2*(b*x + a)*b^2*c^2*d*Ei(2*(b - (b*x + a)*d/(d*x + c))/d)*e^(-2*b/d)/(d*x + c) - 2*a^2*b*d^2*Ei(2*(b - (b*x + a)*d/(d*x + c))/d)*e^(-2*b/d) - 4*(b*x + a)*a*b*c*d^2*Ei(2*(b - (b*x + a)*d/(d*x + c))/d)*e^(-2*b/d)/(d*x + c) + 2*(b*x + a)*a^2*d^3*Ei(2*(b - (b*x + a)*d/(d*x + c))/d)*e^(-2*b/d)/(d*x + c) + b^2*c^2*d*e^(2*(b*x + a)/(d*x + c)) - 2*a*b*c*d^2*e^(2*(b*x + a)/(d*x + c)) + a^2*d^3*e^(2*(b*x + a)/(d*x + c)) + b^2*c^2*d*e^(-2*(b*x + a)/(d*x + c)) - 2*a*b*c*d^2*e^(-2*(b*x + a)/(d*x + c)) + a^2*d^3*e^(-2*(b*x + a)/(d*x + c)) + 2*b^2*c^2*d - 4*a*b*c*d^2 + 2*a^2*d^3)*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)/(b*d^2 - (b*x + a)*d^3/(d*x + c))","B",0
264,1,60,0,0.122402," ","integrate(exp(b*x+a)*cosh(b*x+a)^4,x, algorithm=""giac"")","-\frac{5 \, {\left(12 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-3 \, b x - 3 \, a\right)} - 3 \, e^{\left(5 \, b x + 5 \, a\right)} - 20 \, e^{\left(3 \, b x + 3 \, a\right)} - 90 \, e^{\left(b x + a\right)}}{240 \, b}"," ",0,"-1/240*(5*(12*e^(2*b*x + 2*a) + 1)*e^(-3*b*x - 3*a) - 3*e^(5*b*x + 5*a) - 20*e^(3*b*x + 3*a) - 90*e^(b*x + a))/b","A",0
265,1,57,0,0.140021," ","integrate(exp(b*x+a)*cosh(b*x+a)^3,x, algorithm=""giac"")","\frac{12 \, b x - 2 \, {\left(3 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)} e^{\left(-2 \, b x - 2 \, a\right)} + 12 \, a + e^{\left(4 \, b x + 4 \, a\right)} + 6 \, e^{\left(2 \, b x + 2 \, a\right)}}{32 \, b}"," ",0,"1/32*(12*b*x - 2*(3*e^(2*b*x + 2*a) + 1)*e^(-2*b*x - 2*a) + 12*a + e^(4*b*x + 4*a) + 6*e^(2*b*x + 2*a))/b","A",0
266,1,34,0,0.137279," ","integrate(exp(b*x+a)*cosh(b*x+a)^2,x, algorithm=""giac"")","\frac{e^{\left(3 \, b x + 3 \, a\right)} + 6 \, e^{\left(b x + a\right)} - 3 \, e^{\left(-b x - a\right)}}{12 \, b}"," ",0,"1/12*(e^(3*b*x + 3*a) + 6*e^(b*x + a) - 3*e^(-b*x - a))/b","A",0
267,1,22,0,0.114801," ","integrate(exp(b*x+a)*cosh(b*x+a),x, algorithm=""giac"")","\frac{2 \, b x + 2 \, a + e^{\left(2 \, b x + 2 \, a\right)}}{4 \, b}"," ",0,"1/4*(2*b*x + 2*a + e^(2*b*x + 2*a))/b","A",0
268,1,16,0,0.114567," ","integrate(exp(b*x+a)*sech(b*x+a),x, algorithm=""giac"")","\frac{\log\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}{b}"," ",0,"log(e^(2*b*x + 2*a) + 1)/b","A",0
269,1,35,0,0.139539," ","integrate(exp(b*x+a)*sech(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{e^{\left(b x + a\right)}}{e^{\left(2 \, b x + 2 \, a\right)} + 1} - \arctan\left(e^{\left(b x + a\right)}\right)\right)}}{b}"," ",0,"-2*(e^(b*x + a)/(e^(2*b*x + 2*a) + 1) - arctan(e^(b*x + a)))/b","A",0
270,1,31,0,0.118110," ","integrate(exp(b*x+a)*sech(b*x+a)^3,x, algorithm=""giac"")","-\frac{2 \, {\left(2 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}{b {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{2}}"," ",0,"-2*(2*e^(2*b*x + 2*a) + 1)/(b*(e^(2*b*x + 2*a) + 1)^2)","A",0
271,1,60,0,0.116640," ","integrate(exp(b*x+a)*sech(b*x+a)^4,x, algorithm=""giac"")","\frac{\frac{3 \, e^{\left(5 \, b x + 5 \, a\right)} - 8 \, e^{\left(3 \, b x + 3 \, a\right)} - 3 \, e^{\left(b x + a\right)}}{{\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{3}} + 3 \, \arctan\left(e^{\left(b x + a\right)}\right)}{3 \, b}"," ",0,"1/3*((3*e^(5*b*x + 5*a) - 8*e^(3*b*x + 3*a) - 3*e^(b*x + a))/(e^(2*b*x + 2*a) + 1)^3 + 3*arctan(e^(b*x + a)))/b","A",0
272,1,42,0,0.124746," ","integrate(exp(b*x+a)*sech(b*x+a)^5,x, algorithm=""giac"")","-\frac{4 \, {\left(6 \, e^{\left(4 \, b x + 4 \, a\right)} + 4 \, e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}}{3 \, b {\left(e^{\left(2 \, b x + 2 \, a\right)} + 1\right)}^{4}}"," ",0,"-4/3*(6*e^(4*b*x + 4*a) + 4*e^(2*b*x + 2*a) + 1)/(b*(e^(2*b*x + 2*a) + 1)^4)","A",0
273,1,17,0,0.138494," ","integrate(exp(x)*cosh(2*x)^2,x, algorithm=""giac"")","\frac{1}{20} \, e^{\left(5 \, x\right)} - \frac{1}{12} \, e^{\left(-3 \, x\right)} + \frac{1}{2} \, e^{x}"," ",0,"1/20*e^(5*x) - 1/12*e^(-3*x) + 1/2*e^x","A",0
274,1,13,0,0.116544," ","integrate(exp(x)*cosh(2*x),x, algorithm=""giac"")","\frac{1}{6} \, e^{\left(3 \, x\right)} - \frac{1}{2} \, e^{\left(-x\right)}"," ",0,"1/6*e^(3*x) - 1/2*e^(-x)","A",0
275,1,76,0,0.115210," ","integrate(exp(x)*sech(2*x),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) + \frac{1}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) - \frac{1}{4} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{4} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right)"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) + 1/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) - 1/4*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) + 1/4*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1)","A",0
276,1,88,0,0.123069," ","integrate(exp(x)*sech(2*x)^2,x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, e^{x}\right)}\right) + \frac{1}{4} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, e^{x}\right)}\right) + \frac{1}{8} \, \sqrt{2} \log\left(\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{8} \, \sqrt{2} \log\left(-\sqrt{2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{e^{x}}{e^{\left(4 \, x\right)} + 1}"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*e^x)) + 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*e^x)) + 1/8*sqrt(2)*log(sqrt(2)*e^x + e^(2*x) + 1) - 1/8*sqrt(2)*log(-sqrt(2)*e^x + e^(2*x) + 1) - e^x/(e^(4*x) + 1)","A",0
277,1,17,0,0.132966," ","integrate(exp(x)*cosh(3*x)^2,x, algorithm=""giac"")","\frac{1}{28} \, e^{\left(7 \, x\right)} - \frac{1}{20} \, e^{\left(-5 \, x\right)} + \frac{1}{2} \, e^{x}"," ",0,"1/28*e^(7*x) - 1/20*e^(-5*x) + 1/2*e^x","A",0
278,1,13,0,0.112630," ","integrate(exp(x)*cosh(3*x),x, algorithm=""giac"")","\frac{1}{8} \, e^{\left(4 \, x\right)} - \frac{1}{4} \, e^{\left(-2 \, x\right)}"," ",0,"1/8*e^(4*x) - 1/4*e^(-2*x)","A",0
279,1,44,0,0.112710," ","integrate(exp(x)*sech(3*x),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{\left(2 \, x\right)} - 1\right)}\right) + \frac{1}{6} \, \log\left(e^{\left(4 \, x\right)} - e^{\left(2 \, x\right)} + 1\right) - \frac{1}{3} \, \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^(2*x) - 1)) + 1/6*log(e^(4*x) - e^(2*x) + 1) - 1/3*log(e^(2*x) + 1)","A",0
280,1,79,0,0.123669," ","integrate(exp(x)*sech(3*x)^2,x, algorithm=""giac"")","\frac{1}{18} \, \sqrt{3} \log\left(\sqrt{3} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{18} \, \sqrt{3} \log\left(-\sqrt{3} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{2 \, e^{x}}{3 \, {\left(e^{\left(6 \, x\right)} + 1\right)}} + \frac{1}{9} \, \arctan\left(\sqrt{3} + 2 \, e^{x}\right) + \frac{1}{9} \, \arctan\left(-\sqrt{3} + 2 \, e^{x}\right) + \frac{2}{9} \, \arctan\left(e^{x}\right)"," ",0,"1/18*sqrt(3)*log(sqrt(3)*e^x + e^(2*x) + 1) - 1/18*sqrt(3)*log(-sqrt(3)*e^x + e^(2*x) + 1) - 2/3*e^x/(e^(6*x) + 1) + 1/9*arctan(sqrt(3) + 2*e^x) + 1/9*arctan(-sqrt(3) + 2*e^x) + 2/9*arctan(e^x)","A",0
281,1,17,0,0.130193," ","integrate(exp(x)*cosh(4*x)^2,x, algorithm=""giac"")","\frac{1}{36} \, e^{\left(9 \, x\right)} - \frac{1}{28} \, e^{\left(-7 \, x\right)} + \frac{1}{2} \, e^{x}"," ",0,"1/36*e^(9*x) - 1/28*e^(-7*x) + 1/2*e^x","A",0
282,1,13,0,0.136298," ","integrate(exp(x)*cosh(4*x),x, algorithm=""giac"")","\frac{1}{10} \, e^{\left(5 \, x\right)} - \frac{1}{6} \, e^{\left(-3 \, x\right)}"," ",0,"1/10*e^(5*x) - 1/6*e^(-3*x)","A",0
283,1,249,0,0.207712," ","integrate(exp(x)*sech(4*x),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{\sqrt{2} + 2} \arctan\left(\frac{\sqrt{\sqrt{2} + 2} + 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{4} \, \sqrt{\sqrt{2} + 2} \arctan\left(-\frac{\sqrt{\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) - \frac{1}{4} \, \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{\sqrt{-\sqrt{2} + 2} + 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) - \frac{1}{4} \, \sqrt{-\sqrt{2} + 2} \arctan\left(-\frac{\sqrt{-\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) - \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \log\left(\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{8} \, \sqrt{-\sqrt{2} + 2} \log\left(-\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{8} \, \sqrt{\sqrt{2} + 2} \log\left(\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{8} \, \sqrt{\sqrt{2} + 2} \log\left(-\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right)"," ",0,"1/4*sqrt(sqrt(2) + 2)*arctan((sqrt(sqrt(2) + 2) + 2*e^x)/sqrt(-sqrt(2) + 2)) + 1/4*sqrt(sqrt(2) + 2)*arctan(-(sqrt(sqrt(2) + 2) - 2*e^x)/sqrt(-sqrt(2) + 2)) - 1/4*sqrt(-sqrt(2) + 2)*arctan((sqrt(-sqrt(2) + 2) + 2*e^x)/sqrt(sqrt(2) + 2)) - 1/4*sqrt(-sqrt(2) + 2)*arctan(-(sqrt(-sqrt(2) + 2) - 2*e^x)/sqrt(sqrt(2) + 2)) - 1/8*sqrt(-sqrt(2) + 2)*log(sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/8*sqrt(-sqrt(2) + 2)*log(-sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/8*sqrt(sqrt(2) + 2)*log(sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) - 1/8*sqrt(sqrt(2) + 2)*log(-sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1)","A",0
284,1,261,0,0.144789," ","integrate(exp(x)*sech(4*x)^2,x, algorithm=""giac"")","\frac{1}{16} \, \sqrt{-\sqrt{2} + 2} \arctan\left(\frac{\sqrt{\sqrt{2} + 2} + 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{16} \, \sqrt{-\sqrt{2} + 2} \arctan\left(-\frac{\sqrt{\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{-\sqrt{2} + 2}}\right) + \frac{1}{16} \, \sqrt{\sqrt{2} + 2} \arctan\left(\frac{\sqrt{-\sqrt{2} + 2} + 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) + \frac{1}{16} \, \sqrt{\sqrt{2} + 2} \arctan\left(-\frac{\sqrt{-\sqrt{2} + 2} - 2 \, e^{x}}{\sqrt{\sqrt{2} + 2}}\right) + \frac{1}{32} \, \sqrt{\sqrt{2} + 2} \log\left(\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{32} \, \sqrt{\sqrt{2} + 2} \log\left(-\sqrt{\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) + \frac{1}{32} \, \sqrt{-\sqrt{2} + 2} \log\left(\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{1}{32} \, \sqrt{-\sqrt{2} + 2} \log\left(-\sqrt{-\sqrt{2} + 2} e^{x} + e^{\left(2 \, x\right)} + 1\right) - \frac{e^{x}}{2 \, {\left(e^{\left(8 \, x\right)} + 1\right)}}"," ",0,"1/16*sqrt(-sqrt(2) + 2)*arctan((sqrt(sqrt(2) + 2) + 2*e^x)/sqrt(-sqrt(2) + 2)) + 1/16*sqrt(-sqrt(2) + 2)*arctan(-(sqrt(sqrt(2) + 2) - 2*e^x)/sqrt(-sqrt(2) + 2)) + 1/16*sqrt(sqrt(2) + 2)*arctan((sqrt(-sqrt(2) + 2) + 2*e^x)/sqrt(sqrt(2) + 2)) + 1/16*sqrt(sqrt(2) + 2)*arctan(-(sqrt(-sqrt(2) + 2) - 2*e^x)/sqrt(sqrt(2) + 2)) + 1/32*sqrt(sqrt(2) + 2)*log(sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) - 1/32*sqrt(sqrt(2) + 2)*log(-sqrt(sqrt(2) + 2)*e^x + e^(2*x) + 1) + 1/32*sqrt(-sqrt(2) + 2)*log(sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) - 1/32*sqrt(-sqrt(2) + 2)*log(-sqrt(-sqrt(2) + 2)*e^x + e^(2*x) + 1) - 1/2*e^x/(e^(8*x) + 1)","A",0
285,1,1239,0,0.271996," ","integrate(F^(c*(b*x+a))*cosh(e*x+d)^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + 3 \, e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + 3 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + 3 \, e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + 3 \, e\right)} x + 3 \, d\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 48 \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 48 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + 3 \, e\right)} x + 3 \, d\right)} + \frac{3}{4} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} - \frac{1}{2} i \, {\left(-\frac{6 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 16 \, e} + \frac{6 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) + 16 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} + \frac{3}{4} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)} - \frac{1}{2} i \, {\left(-\frac{6 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 16 \, e} + \frac{6 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 16 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)} + \frac{1}{4} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - 3 \, e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - 3 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - 3 \, e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - 3 \, e\right)} x - 3 \, d\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{8 i \, \pi b c \mathrm{sgn}\left(F\right) - 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 48 \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-8 i \, \pi b c \mathrm{sgn}\left(F\right) + 8 i \, \pi b c + 16 \, b c \log\left({\left| F \right|}\right) - 48 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - 3 \, e\right)} x - 3 \, d\right)}"," ",0,"1/4*(2*(b*c*log(abs(F)) + 3*e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + 3*e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + 3*e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + 3*e)*x + 3*d) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) + 48*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) + 48*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + 3*e)*x + 3*d) + 3/4*(2*(b*c*log(abs(F)) + e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) - 1/2*I*(-6*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) + 16*e) + 6*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) + 16*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) + 3/4*(2*(b*c*log(abs(F)) - e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d) - 1/2*I*(-6*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) - 16*e) + 6*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) - 16*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d) + 1/4*(2*(b*c*log(abs(F)) - 3*e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - 3*e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - 3*e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - 3*e)*x - 3*d) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(8*I*pi*b*c*sgn(F) - 8*I*pi*b*c + 16*b*c*log(abs(F)) - 48*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-8*I*pi*b*c*sgn(F) + 8*I*pi*b*c + 16*b*c*log(abs(F)) - 48*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - 3*e)*x - 3*d)","C",0
286,1,903,0,0.236729," ","integrate(F^(c*(b*x+a))*cosh(e*x+d)^2,x, algorithm=""giac"")","{\left(\frac{2 \, b c \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right) \log\left({\left| F \right|}\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{4 \, b^{2} c^{2} \log\left({\left| F \right|}\right)^{2} + {\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2}}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{2 i \, \pi b c \mathrm{sgn}\left(F\right) - 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-2 i \, \pi b c \mathrm{sgn}\left(F\right) + 2 i \, \pi b c + 4 \, b c \log\left({\left| F \right|}\right)}\right)} e^{\left(b c x \log\left({\left| F \right|}\right) + a c \log\left({\left| F \right|}\right)\right)} + \frac{1}{2} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)} x + 2 \, d\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) + 16 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + 2 \, e\right)} x + 2 \, d\right)} + \frac{1}{2} \, {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)} x - 2 \, d\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{4 i \, \pi b c \mathrm{sgn}\left(F\right) - 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-4 i \, \pi b c \mathrm{sgn}\left(F\right) + 4 i \, \pi b c + 8 \, b c \log\left({\left| F \right|}\right) - 16 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - 2 \, e\right)} x - 2 \, d\right)}"," ",0,"(2*b*c*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)*log(abs(F))/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/(4*b^2*c^2*log(abs(F))^2 + (pi*b*c*sgn(F) - pi*b*c)^2))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(2*I*pi*b*c*sgn(F) - 2*I*pi*b*c + 4*b*c*log(abs(F))) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-2*I*pi*b*c*sgn(F) + 2*I*pi*b*c + 4*b*c*log(abs(F))))*e^(b*c*x*log(abs(F)) + a*c*log(abs(F))) + 1/2*(2*(b*c*log(abs(F)) + 2*e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + 2*e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + 2*e)*x + 2*d) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) + 16*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + 2*e)*x + 2*d) + 1/2*(2*(b*c*log(abs(F)) - 2*e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - 2*e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - 2*e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - 2*e)*x - 2*d) - 1/2*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(4*I*pi*b*c*sgn(F) - 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-4*I*pi*b*c*sgn(F) + 4*I*pi*b*c + 8*b*c*log(abs(F)) - 16*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - 2*e)*x - 2*d)","C",0
287,1,611,0,0.206077," ","integrate(F^(c*(b*x+a))*cosh(e*x+d),x, algorithm=""giac"")","{\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) + e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} - \frac{1}{4} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) + 2 \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) + 2 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) + e\right)} x + d\right)} + {\left(\frac{2 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)} \cos\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}} - \frac{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)} \sin\left(-\frac{1}{2} \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c x - \frac{1}{2} \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a c\right)}{{\left(\pi b c \mathrm{sgn}\left(F\right) - \pi b c\right)}^{2} + 4 \, {\left(b c \log\left({\left| F \right|}\right) - e\right)}^{2}}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)} - \frac{1}{4} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi b c x + \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) - \frac{1}{2} i \, \pi a c\right)}}{i \, \pi b c \mathrm{sgn}\left(F\right) - i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) - 2 \, e} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b c x \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi b c x - \frac{1}{2} i \, \pi a c \mathrm{sgn}\left(F\right) + \frac{1}{2} i \, \pi a c\right)}}{-i \, \pi b c \mathrm{sgn}\left(F\right) + i \, \pi b c + 2 \, b c \log\left({\left| F \right|}\right) - 2 \, e}\right)} e^{\left(a c \log\left({\left| F \right|}\right) + {\left(b c \log\left({\left| F \right|}\right) - e\right)} x - d\right)}"," ",0,"(2*(b*c*log(abs(F)) + e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) + e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) - 1/4*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F)) + 2*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F)) + 2*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) + e)*x + d) + (2*(b*c*log(abs(F)) - e)*cos(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2) - (pi*b*c*sgn(F) - pi*b*c)*sin(-1/2*pi*b*c*x*sgn(F) + 1/2*pi*b*c*x - 1/2*pi*a*c*sgn(F) + 1/2*pi*a*c)/((pi*b*c*sgn(F) - pi*b*c)^2 + 4*(b*c*log(abs(F)) - e)^2))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d) - 1/4*I*(-2*I*e^(1/2*I*pi*b*c*x*sgn(F) - 1/2*I*pi*b*c*x + 1/2*I*pi*a*c*sgn(F) - 1/2*I*pi*a*c)/(I*pi*b*c*sgn(F) - I*pi*b*c + 2*b*c*log(abs(F)) - 2*e) + 2*I*e^(-1/2*I*pi*b*c*x*sgn(F) + 1/2*I*pi*b*c*x - 1/2*I*pi*a*c*sgn(F) + 1/2*I*pi*a*c)/(-I*pi*b*c*sgn(F) + I*pi*b*c + 2*b*c*log(abs(F)) - 2*e))*e^(a*c*log(abs(F)) + (b*c*log(abs(F)) - e)*x - d)","C",0
288,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sech(e*x+d),x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \operatorname{sech}\left(e x + d\right)\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sech(e*x + d), x)","F",0
289,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sech(e*x+d)^2,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \operatorname{sech}\left(e x + d\right)^{2}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sech(e*x + d)^2, x)","F",0
290,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sech(e*x+d)^3,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \operatorname{sech}\left(e x + d\right)^{3}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sech(e*x + d)^3, x)","F",0
291,0,0,0,0.000000," ","integrate(F^(c*(b*x+a))*sech(e*x+d)^4,x, algorithm=""giac"")","\int F^{{\left(b x + a\right)} c} \operatorname{sech}\left(e x + d\right)^{4}\,{d x}"," ",0,"integrate(F^((b*x + a)*c)*sech(e*x + d)^4, x)","F",0
292,1,101,0,0.133011," ","integrate(exp(c*(b*x+a))*(cosh(b*c*x+a*c)^2)^(5/2),x, algorithm=""giac"")","\frac{120 \, b c x - 3 \, {\left(30 \, e^{\left(4 \, b c x + 4 \, a c\right)} + 10 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)} e^{\left(-4 \, b c x - 4 \, a c\right)} + {\left(2 \, e^{\left(6 \, b c x + 18 \, a c\right)} + 15 \, e^{\left(4 \, b c x + 16 \, a c\right)} + 60 \, e^{\left(2 \, b c x + 14 \, a c\right)}\right)} e^{\left(-12 \, a c\right)}}{384 \, b c}"," ",0,"1/384*(120*b*c*x - 3*(30*e^(4*b*c*x + 4*a*c) + 10*e^(2*b*c*x + 2*a*c) + 1)*e^(-4*b*c*x - 4*a*c) + (2*e^(6*b*c*x + 18*a*c) + 15*e^(4*b*c*x + 16*a*c) + 60*e^(2*b*c*x + 14*a*c))*e^(-12*a*c))/(b*c)","A",0
293,1,73,0,0.144255," ","integrate(exp(c*(b*x+a))*(cosh(b*c*x+a*c)^2)^(3/2),x, algorithm=""giac"")","\frac{12 \, b c x - 2 \, {\left(3 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)} e^{\left(-2 \, b c x - 2 \, a c\right)} + {\left(e^{\left(4 \, b c x + 8 \, a c\right)} + 6 \, e^{\left(2 \, b c x + 6 \, a c\right)}\right)} e^{\left(-4 \, a c\right)}}{32 \, b c}"," ",0,"1/32*(12*b*c*x - 2*(3*e^(2*b*c*x + 2*a*c) + 1)*e^(-2*b*c*x - 2*a*c) + (e^(4*b*c*x + 8*a*c) + 6*e^(2*b*c*x + 6*a*c))*e^(-4*a*c))/(b*c)","A",0
294,1,23,0,0.112417," ","integrate(exp(c*(b*x+a))*(cosh(b*c*x+a*c)^2)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, x + \frac{e^{\left(2 \, b c x + 2 \, a c\right)}}{4 \, b c}"," ",0,"1/2*x + 1/4*e^(2*b*c*x + 2*a*c)/(b*c)","A",0
295,1,20,0,0.121971," ","integrate(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(1/2),x, algorithm=""giac"")","\frac{\log\left(e^{\left(2 \, b c x\right)} + e^{\left(-2 \, a c\right)}\right)}{b c}"," ",0,"log(e^(2*b*c*x) + e^(-2*a*c))/(b*c)","A",0
296,1,38,0,0.118725," ","integrate(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(2 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}{b c {\left(e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}^{2}}"," ",0,"-2*(2*e^(2*b*c*x + 2*a*c) + 1)/(b*c*(e^(2*b*c*x + 2*a*c) + 1)^2)","A",0
297,1,51,0,0.137115," ","integrate(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(5/2),x, algorithm=""giac"")","-\frac{4 \, {\left(6 \, e^{\left(4 \, b c x + 4 \, a c\right)} + 4 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}{3 \, b c {\left(e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}^{4}}"," ",0,"-4/3*(6*e^(4*b*c*x + 4*a*c) + 4*e^(2*b*c*x + 2*a*c) + 1)/(b*c*(e^(2*b*c*x + 2*a*c) + 1)^4)","A",0
298,1,64,0,0.119305," ","integrate(exp(c*(b*x+a))/(cosh(b*c*x+a*c)^2)^(7/2),x, algorithm=""giac"")","-\frac{16 \, {\left(20 \, e^{\left(6 \, b c x + 6 \, a c\right)} + 15 \, e^{\left(4 \, b c x + 4 \, a c\right)} + 6 \, e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}}{15 \, b c {\left(e^{\left(2 \, b c x + 2 \, a c\right)} + 1\right)}^{6}}"," ",0,"-16/15*(20*e^(6*b*c*x + 6*a*c) + 15*e^(4*b*c*x + 4*a*c) + 6*e^(2*b*c*x + 2*a*c) + 1)/(b*c*(e^(2*b*c*x + 2*a*c) + 1)^6)","A",0
299,1,32,0,0.134236," ","integrate(exp(x)*cosh(b*x+a),x, algorithm=""giac"")","\frac{e^{\left(b x + a + x\right)}}{2 \, {\left(b + 1\right)}} - \frac{e^{\left(-b x - a + x\right)}}{2 \, {\left(b - 1\right)}}"," ",0,"1/2*e^(b*x + a + x)/(b + 1) - 1/2*e^(-b*x - a + x)/(b - 1)","A",0
300,1,73,0,0.140529," ","integrate(exp(x)*cosh(c*x^2+a),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x + \frac{1}{c}\right)}\right) e^{\left(\frac{4 \, a c - 1}{4 \, c}\right)}}{4 \, \sqrt{-c}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x - \frac{1}{c}\right)}\right) e^{\left(-\frac{4 \, a c - 1}{4 \, c}\right)}}{4 \, \sqrt{c}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c)*(2*x + 1/c))*e^(1/4*(4*a*c - 1)/c)/sqrt(-c) - 1/4*sqrt(pi)*erf(-1/2*sqrt(c)*(2*x - 1/c))*e^(-1/4*(4*a*c - 1)/c)/sqrt(c)","A",0
301,1,91,0,0.142191," ","integrate(exp(x)*cosh(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c} {\left(2 \, x + \frac{b + 1}{c}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c + 2 \, b + 1}{4 \, c}\right)}}{4 \, \sqrt{-c}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x + \frac{b - 1}{c}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c - 2 \, b + 1}{4 \, c}\right)}}{4 \, \sqrt{c}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c)*(2*x + (b + 1)/c))*e^(-1/4*(b^2 - 4*a*c + 2*b + 1)/c)/sqrt(-c) - 1/4*sqrt(pi)*erf(-1/2*sqrt(c)*(2*x + (b - 1)/c))*e^(1/4*(b^2 - 4*a*c - 2*b + 1)/c)/sqrt(c)","A",0
302,1,45,0,0.124803," ","integrate(exp(x^2)*cosh(b*x+a),x, algorithm=""giac"")","\frac{1}{4} i \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} i \, b - i \, x\right) e^{\left(-\frac{1}{4} \, b^{2} + a\right)} + \frac{1}{4} i \, \sqrt{\pi} \operatorname{erf}\left(\frac{1}{2} i \, b - i \, x\right) e^{\left(-\frac{1}{4} \, b^{2} - a\right)}"," ",0,"1/4*I*sqrt(pi)*erf(-1/2*I*b - I*x)*e^(-1/4*b^2 + a) + 1/4*I*sqrt(pi)*erf(1/2*I*b - I*x)*e^(-1/4*b^2 - a)","C",0
303,1,49,0,0.138531," ","integrate(exp(x^2)*cosh(c*x^2+a),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{c - 1} x\right) e^{\left(-a\right)}}{4 \, \sqrt{c - 1}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c - 1} x\right) e^{a}}{4 \, \sqrt{-c - 1}}"," ",0,"-1/4*sqrt(pi)*erf(-sqrt(c - 1)*x)*e^(-a)/sqrt(c - 1) - 1/4*sqrt(pi)*erf(-sqrt(-c - 1)*x)*e^a/sqrt(-c - 1)","A",0
304,1,101,0,0.126292," ","integrate(exp(x^2)*cosh(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c - 1} {\left(2 \, x + \frac{b}{c + 1}\right)}\right) e^{\left(-\frac{b^{2} - 4 \, a c - 4 \, a}{4 \, {\left(c + 1\right)}}\right)}}{4 \, \sqrt{-c - 1}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c - 1} {\left(2 \, x + \frac{b}{c - 1}\right)}\right) e^{\left(\frac{b^{2} - 4 \, a c + 4 \, a}{4 \, {\left(c - 1\right)}}\right)}}{4 \, \sqrt{c - 1}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c - 1)*(2*x + b/(c + 1)))*e^(-1/4*(b^2 - 4*a*c - 4*a)/(c + 1))/sqrt(-c - 1) - 1/4*sqrt(pi)*erf(-1/2*sqrt(c - 1)*(2*x + b/(c - 1)))*e^(1/4*(b^2 - 4*a*c + 4*a)/(c - 1))/sqrt(c - 1)","A",0
305,1,106,0,0.148083," ","integrate(f^(b*x+a)*cosh(f*x^2+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{f} {\left(2 \, x - \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right)}}{4 \, \sqrt{f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-f} {\left(2 \, x + \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right)}}{4 \, \sqrt{-f}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(f)*(2*x - b*log(f)/f))*e^(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 4*d*f)/f)/sqrt(f) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-f)*(2*x + b*log(f)/f))*e^(-1/4*(b^2*log(f)^2 - 4*a*f*log(f) - 4*d*f)/f)/sqrt(-f)","A",0
306,1,355,0,0.184740," ","integrate(f^(b*x+a)*cosh(f*x^2+d)^2,x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} \sqrt{f} {\left(4 \, x - \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 8 \, a f \log\left(f\right) - 16 \, d f}{8 \, f}\right)}}{16 \, \sqrt{f}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} \sqrt{-f} {\left(4 \, x + \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 8 \, a f \log\left(f\right) - 16 \, d f}{8 \, f}\right)}}{16 \, \sqrt{-f}} + {\left(\frac{2 \, b \cos\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right) \log\left({\left| f \right|}\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}} - \frac{{\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)} \sin\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi b x + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi a\right)}}{2 i \, \pi b \mathrm{sgn}\left(f\right) - 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi b x - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a\right)}}{-2 i \, \pi b \mathrm{sgn}\left(f\right) + 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)}"," ",0,"-1/16*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*sqrt(f)*(4*x - b*log(f)/f))*e^(1/8*(b^2*log(f)^2 + 8*a*f*log(f) - 16*d*f)/f)/sqrt(f) - 1/16*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*sqrt(-f)*(4*x + b*log(f)/f))*e^(-1/8*(b^2*log(f)^2 - 8*a*f*log(f) - 16*d*f)/f)/sqrt(-f) + (2*b*cos(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)*log(abs(f))/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2) - (pi*b*sgn(f) - pi*b)*sin(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2))*e^(b*x*log(abs(f)) + a*log(abs(f))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*x*sgn(f) - 1/2*I*pi*b*x + 1/2*I*pi*a*sgn(f) - 1/2*I*pi*a)/(2*I*pi*b*sgn(f) - 2*I*pi*b + 4*b*log(abs(f))) + 2*I*e^(-1/2*I*pi*b*x*sgn(f) + 1/2*I*pi*b*x - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a)/(-2*I*pi*b*sgn(f) + 2*I*pi*b + 4*b*log(abs(f))))*e^(b*x*log(abs(f)) + a*log(abs(f)))","C",0
307,1,223,0,0.165548," ","integrate(f^(b*x+a)*cosh(f*x^2+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{6} \, \sqrt{3} \sqrt{f} {\left(6 \, x - \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 12 \, a f \log\left(f\right) - 36 \, d f}{12 \, f}\right)}}{48 \, \sqrt{f}} - \frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{6} \, \sqrt{3} \sqrt{-f} {\left(6 \, x + \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 12 \, a f \log\left(f\right) - 36 \, d f}{12 \, f}\right)}}{48 \, \sqrt{-f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{f} {\left(2 \, x - \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right)}}{16 \, \sqrt{f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-f} {\left(2 \, x + \frac{b \log\left(f\right)}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, f}\right)}}{16 \, \sqrt{-f}}"," ",0,"-1/48*sqrt(3)*sqrt(pi)*erf(-1/6*sqrt(3)*sqrt(f)*(6*x - b*log(f)/f))*e^(1/12*(b^2*log(f)^2 + 12*a*f*log(f) - 36*d*f)/f)/sqrt(f) - 1/48*sqrt(3)*sqrt(pi)*erf(-1/6*sqrt(3)*sqrt(-f)*(6*x + b*log(f)/f))*e^(-1/12*(b^2*log(f)^2 - 12*a*f*log(f) - 36*d*f)/f)/sqrt(-f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(f)*(2*x - b*log(f)/f))*e^(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 4*d*f)/f)/sqrt(f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-f)*(2*x + b*log(f)/f))*e^(-1/4*(b^2*log(f)^2 - 4*a*f*log(f) - 4*d*f)/f)/sqrt(-f)","A",0
308,1,134,0,0.151844," ","integrate(f^(b*x+a)*cosh(f*x^2+e*x+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{f} {\left(2 \, x - \frac{b \log\left(f\right) - e}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, f}\right)}}{4 \, \sqrt{f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-f} {\left(2 \, x + \frac{b \log\left(f\right) + e}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) + 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, f}\right)}}{4 \, \sqrt{-f}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(f)*(2*x - (b*log(f) - e)/f))*e^(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 2*b*e*log(f) - 4*d*f + e^2)/f)/sqrt(f) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-f)*(2*x + (b*log(f) + e)/f))*e^(-1/4*(b^2*log(f)^2 - 4*a*f*log(f) + 2*b*e*log(f) - 4*d*f + e^2)/f)/sqrt(-f)","A",0
309,1,389,0,0.201035," ","integrate(f^(b*x+a)*cosh(f*x^2+e*x+d)^2,x, algorithm=""giac"")","-\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} \sqrt{f} {\left(4 \, x - \frac{b \log\left(f\right) - 2 \, e}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 8 \, a f \log\left(f\right) - 4 \, b e \log\left(f\right) - 16 \, d f + 4 \, e^{2}}{8 \, f}\right)}}{16 \, \sqrt{f}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{4} \, \sqrt{2} \sqrt{-f} {\left(4 \, x + \frac{b \log\left(f\right) + 2 \, e}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 8 \, a f \log\left(f\right) + 4 \, b e \log\left(f\right) - 16 \, d f + 4 \, e^{2}}{8 \, f}\right)}}{16 \, \sqrt{-f}} + {\left(\frac{2 \, b \cos\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right) \log\left({\left| f \right|}\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}} - \frac{{\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)} \sin\left(-\frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right)}{4 \, b^{2} \log\left({\left| f \right|}\right)^{2} + {\left(\pi b \mathrm{sgn}\left(f\right) - \pi b\right)}^{2}}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{1}{2} i \, {\left(-\frac{2 i \, e^{\left(\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi b x + \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) - \frac{1}{2} i \, \pi a\right)}}{2 i \, \pi b \mathrm{sgn}\left(f\right) - 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)} + \frac{2 i \, e^{\left(-\frac{1}{2} i \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi b x - \frac{1}{2} i \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} i \, \pi a\right)}}{-2 i \, \pi b \mathrm{sgn}\left(f\right) + 2 i \, \pi b + 4 \, b \log\left({\left| f \right|}\right)}\right)} e^{\left(b x \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)}"," ",0,"-1/16*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*sqrt(f)*(4*x - (b*log(f) - 2*e)/f))*e^(1/8*(b^2*log(f)^2 + 8*a*f*log(f) - 4*b*e*log(f) - 16*d*f + 4*e^2)/f)/sqrt(f) - 1/16*sqrt(2)*sqrt(pi)*erf(-1/4*sqrt(2)*sqrt(-f)*(4*x + (b*log(f) + 2*e)/f))*e^(-1/8*(b^2*log(f)^2 - 8*a*f*log(f) + 4*b*e*log(f) - 16*d*f + 4*e^2)/f)/sqrt(-f) + (2*b*cos(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)*log(abs(f))/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2) - (pi*b*sgn(f) - pi*b)*sin(-1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a)/(4*b^2*log(abs(f))^2 + (pi*b*sgn(f) - pi*b)^2))*e^(b*x*log(abs(f)) + a*log(abs(f))) - 1/2*I*(-2*I*e^(1/2*I*pi*b*x*sgn(f) - 1/2*I*pi*b*x + 1/2*I*pi*a*sgn(f) - 1/2*I*pi*a)/(2*I*pi*b*sgn(f) - 2*I*pi*b + 4*b*log(abs(f))) + 2*I*e^(-1/2*I*pi*b*x*sgn(f) + 1/2*I*pi*b*x - 1/2*I*pi*a*sgn(f) + 1/2*I*pi*a)/(-2*I*pi*b*sgn(f) + 2*I*pi*b + 4*b*log(abs(f))))*e^(b*x*log(abs(f)) + a*log(abs(f)))","C",0
310,1,285,0,0.164397," ","integrate(f^(b*x+a)*cosh(f*x^2+e*x+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{6} \, \sqrt{3} \sqrt{f} {\left(6 \, x - \frac{b \log\left(f\right) - 3 \, e}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 12 \, a f \log\left(f\right) - 6 \, b e \log\left(f\right) - 36 \, d f + 9 \, e^{2}}{12 \, f}\right)}}{48 \, \sqrt{f}} - \frac{\sqrt{3} \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{6} \, \sqrt{3} \sqrt{-f} {\left(6 \, x + \frac{b \log\left(f\right) + 3 \, e}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 12 \, a f \log\left(f\right) + 6 \, b e \log\left(f\right) - 36 \, d f + 9 \, e^{2}}{12 \, f}\right)}}{48 \, \sqrt{-f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{f} {\left(2 \, x - \frac{b \log\left(f\right) - e}{f}\right)}\right) e^{\left(\frac{b^{2} \log\left(f\right)^{2} + 4 \, a f \log\left(f\right) - 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, f}\right)}}{16 \, \sqrt{f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-f} {\left(2 \, x + \frac{b \log\left(f\right) + e}{f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a f \log\left(f\right) + 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, f}\right)}}{16 \, \sqrt{-f}}"," ",0,"-1/48*sqrt(3)*sqrt(pi)*erf(-1/6*sqrt(3)*sqrt(f)*(6*x - (b*log(f) - 3*e)/f))*e^(1/12*(b^2*log(f)^2 + 12*a*f*log(f) - 6*b*e*log(f) - 36*d*f + 9*e^2)/f)/sqrt(f) - 1/48*sqrt(3)*sqrt(pi)*erf(-1/6*sqrt(3)*sqrt(-f)*(6*x + (b*log(f) + 3*e)/f))*e^(-1/12*(b^2*log(f)^2 - 12*a*f*log(f) + 6*b*e*log(f) - 36*d*f + 9*e^2)/f)/sqrt(-f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(f)*(2*x - (b*log(f) - e)/f))*e^(1/4*(b^2*log(f)^2 + 4*a*f*log(f) - 2*b*e*log(f) - 4*d*f + e^2)/f)/sqrt(f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-f)*(2*x + (b*log(f) + e)/f))*e^(-1/4*(b^2*log(f)^2 - 4*a*f*log(f) + 2*b*e*log(f) - 4*d*f + e^2)/f)/sqrt(-f)","A",0
311,1,132,0,0.149055," ","integrate(f^(c*x^2+a)*cosh(e*x+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)}}{4 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x - \frac{e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)}}{4 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + e/(c*log(f))))*e^(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) - e^2)/(c*log(f)))/sqrt(-c*log(f)) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x - e/(c*log(f))))*e^(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - e^2)/(c*log(f)))/sqrt(-c*log(f))","A",0
312,1,150,0,0.156395," ","integrate(f^(c*x^2+a)*cosh(e*x+d)^2,x, algorithm=""giac"")","-\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} x\right)}{4 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} {\left(x + \frac{e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{a c \log\left(f\right)^{2} + 2 \, c d \log\left(f\right) - e^{2}}{c \log\left(f\right)}\right)}}{8 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} {\left(x - \frac{e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{a c \log\left(f\right)^{2} - 2 \, c d \log\left(f\right) - e^{2}}{c \log\left(f\right)}\right)}}{8 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/4*sqrt(pi)*f^a*erf(-sqrt(-c*log(f))*x)/sqrt(-c*log(f)) - 1/8*sqrt(pi)*erf(-sqrt(-c*log(f))*(x + e/(c*log(f))))*e^((a*c*log(f)^2 + 2*c*d*log(f) - e^2)/(c*log(f)))/sqrt(-c*log(f)) - 1/8*sqrt(pi)*erf(-sqrt(-c*log(f))*(x - e/(c*log(f))))*e^((a*c*log(f)^2 - 2*c*d*log(f) - e^2)/(c*log(f)))/sqrt(-c*log(f))","A",0
313,1,264,0,0.167662," ","integrate(f^(c*x^2+a)*cosh(e*x+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{3 \, e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) - 9 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x - \frac{e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x - \frac{3 \, e}{c \log\left(f\right)}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) - 9 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + 3*e/(c*log(f))))*e^(1/4*(4*a*c*log(f)^2 + 12*c*d*log(f) - 9*e^2)/(c*log(f)))/sqrt(-c*log(f)) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + e/(c*log(f))))*e^(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) - e^2)/(c*log(f)))/sqrt(-c*log(f)) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x - e/(c*log(f))))*e^(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - e^2)/(c*log(f)))/sqrt(-c*log(f)) - 1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x - 3*e/(c*log(f))))*e^(1/4*(4*a*c*log(f)^2 - 12*c*d*log(f) - 9*e^2)/(c*log(f)))/sqrt(-c*log(f))","A",0
314,1,75,0,0.130418," ","integrate(f^(c*x^2+a)*cosh(f*x^2+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) - f} x\right) e^{\left(a \log\left(f\right) + d\right)}}{4 \, \sqrt{-c \log\left(f\right) - f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) + f} x\right) e^{\left(a \log\left(f\right) - d\right)}}{4 \, \sqrt{-c \log\left(f\right) + f}}"," ",0,"-1/4*sqrt(pi)*erf(-sqrt(-c*log(f) - f)*x)*e^(a*log(f) + d)/sqrt(-c*log(f) - f) - 1/4*sqrt(pi)*erf(-sqrt(-c*log(f) + f)*x)*e^(a*log(f) - d)/sqrt(-c*log(f) + f)","A",0
315,1,107,0,0.140680," ","integrate(f^(c*x^2+a)*cosh(f*x^2+d)^2,x, algorithm=""giac"")","-\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} x\right)}{4 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) - 2 \, f} x\right) e^{\left(a \log\left(f\right) + 2 \, d\right)}}{8 \, \sqrt{-c \log\left(f\right) - 2 \, f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) + 2 \, f} x\right) e^{\left(a \log\left(f\right) - 2 \, d\right)}}{8 \, \sqrt{-c \log\left(f\right) + 2 \, f}}"," ",0,"-1/4*sqrt(pi)*f^a*erf(-sqrt(-c*log(f))*x)/sqrt(-c*log(f)) - 1/8*sqrt(pi)*erf(-sqrt(-c*log(f) - 2*f)*x)*e^(a*log(f) + 2*d)/sqrt(-c*log(f) - 2*f) - 1/8*sqrt(pi)*erf(-sqrt(-c*log(f) + 2*f)*x)*e^(a*log(f) - 2*d)/sqrt(-c*log(f) + 2*f)","A",0
316,1,155,0,0.157099," ","integrate(f^(c*x^2+a)*cosh(f*x^2+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) - 3 \, f} x\right) e^{\left(a \log\left(f\right) + 3 \, d\right)}}{16 \, \sqrt{-c \log\left(f\right) - 3 \, f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) - f} x\right) e^{\left(a \log\left(f\right) + d\right)}}{16 \, \sqrt{-c \log\left(f\right) - f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) + f} x\right) e^{\left(a \log\left(f\right) - d\right)}}{16 \, \sqrt{-c \log\left(f\right) + f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) + 3 \, f} x\right) e^{\left(a \log\left(f\right) - 3 \, d\right)}}{16 \, \sqrt{-c \log\left(f\right) + 3 \, f}}"," ",0,"-1/16*sqrt(pi)*erf(-sqrt(-c*log(f) - 3*f)*x)*e^(a*log(f) + 3*d)/sqrt(-c*log(f) - 3*f) - 3/16*sqrt(pi)*erf(-sqrt(-c*log(f) - f)*x)*e^(a*log(f) + d)/sqrt(-c*log(f) - f) - 3/16*sqrt(pi)*erf(-sqrt(-c*log(f) + f)*x)*e^(a*log(f) - d)/sqrt(-c*log(f) + f) - 1/16*sqrt(pi)*erf(-sqrt(-c*log(f) + 3*f)*x)*e^(a*log(f) - 3*d)/sqrt(-c*log(f) + 3*f)","A",0
317,1,172,0,0.145646," ","integrate(f^(c*x^2+a)*cosh(f*x^2+e*x+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - f} {\left(2 \, x + \frac{e}{c \log\left(f\right) + f}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) + 4 \, a f \log\left(f\right) + 4 \, d f - e^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{4 \, \sqrt{-c \log\left(f\right) - f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + f} {\left(2 \, x - \frac{e}{c \log\left(f\right) - f}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - 4 \, a f \log\left(f\right) + 4 \, d f - e^{2}}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)}}{4 \, \sqrt{-c \log\left(f\right) + f}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - f)*(2*x + e/(c*log(f) + f)))*e^(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) + 4*a*f*log(f) + 4*d*f - e^2)/(c*log(f) + f))/sqrt(-c*log(f) - f) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + f)*(2*x - e/(c*log(f) - f)))*e^(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - 4*a*f*log(f) + 4*d*f - e^2)/(c*log(f) - f))/sqrt(-c*log(f) + f)","A",0
318,1,198,0,0.158971," ","integrate(f^(c*x^2+a)*cosh(f*x^2+e*x+d)^2,x, algorithm=""giac"")","-\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} x\right)}{4 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) - 2 \, f} {\left(x + \frac{e}{c \log\left(f\right) + 2 \, f}\right)}\right) e^{\left(\frac{a c \log\left(f\right)^{2} + 2 \, c d \log\left(f\right) + 2 \, a f \log\left(f\right) + 4 \, d f - e^{2}}{c \log\left(f\right) + 2 \, f}\right)}}{8 \, \sqrt{-c \log\left(f\right) - 2 \, f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right) + 2 \, f} {\left(x - \frac{e}{c \log\left(f\right) - 2 \, f}\right)}\right) e^{\left(\frac{a c \log\left(f\right)^{2} - 2 \, c d \log\left(f\right) - 2 \, a f \log\left(f\right) + 4 \, d f - e^{2}}{c \log\left(f\right) - 2 \, f}\right)}}{8 \, \sqrt{-c \log\left(f\right) + 2 \, f}}"," ",0,"-1/4*sqrt(pi)*f^a*erf(-sqrt(-c*log(f))*x)/sqrt(-c*log(f)) - 1/8*sqrt(pi)*erf(-sqrt(-c*log(f) - 2*f)*(x + e/(c*log(f) + 2*f)))*e^((a*c*log(f)^2 + 2*c*d*log(f) + 2*a*f*log(f) + 4*d*f - e^2)/(c*log(f) + 2*f))/sqrt(-c*log(f) - 2*f) - 1/8*sqrt(pi)*erf(-sqrt(-c*log(f) + 2*f)*(x - e/(c*log(f) - 2*f)))*e^((a*c*log(f)^2 - 2*c*d*log(f) - 2*a*f*log(f) + 4*d*f - e^2)/(c*log(f) - 2*f))/sqrt(-c*log(f) + 2*f)","A",0
319,1,352,0,0.192789," ","integrate(f^(c*x^2+a)*cosh(f*x^2+e*x+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - 3 \, f} {\left(2 \, x + \frac{3 \, e}{c \log\left(f\right) + 3 \, f}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) + 12 \, a f \log\left(f\right) + 36 \, d f - 9 \, e^{2}}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) - 3 \, f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - f} {\left(2 \, x + \frac{e}{c \log\left(f\right) + f}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) + 4 \, a f \log\left(f\right) + 4 \, d f - e^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) - f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + f} {\left(2 \, x - \frac{e}{c \log\left(f\right) - f}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - 4 \, a f \log\left(f\right) + 4 \, d f - e^{2}}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) + f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + 3 \, f} {\left(2 \, x - \frac{3 \, e}{c \log\left(f\right) - 3 \, f}\right)}\right) e^{\left(\frac{4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) - 12 \, a f \log\left(f\right) + 36 \, d f - 9 \, e^{2}}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) + 3 \, f}}"," ",0,"-1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - 3*f)*(2*x + 3*e/(c*log(f) + 3*f)))*e^(1/4*(4*a*c*log(f)^2 + 12*c*d*log(f) + 12*a*f*log(f) + 36*d*f - 9*e^2)/(c*log(f) + 3*f))/sqrt(-c*log(f) - 3*f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - f)*(2*x + e/(c*log(f) + f)))*e^(1/4*(4*a*c*log(f)^2 + 4*c*d*log(f) + 4*a*f*log(f) + 4*d*f - e^2)/(c*log(f) + f))/sqrt(-c*log(f) - f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + f)*(2*x - e/(c*log(f) - f)))*e^(1/4*(4*a*c*log(f)^2 - 4*c*d*log(f) - 4*a*f*log(f) + 4*d*f - e^2)/(c*log(f) - f))/sqrt(-c*log(f) + f) - 1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + 3*f)*(2*x - 3*e/(c*log(f) - 3*f)))*e^(1/4*(4*a*c*log(f)^2 - 12*c*d*log(f) - 12*a*f*log(f) + 36*d*f - 9*e^2)/(c*log(f) - 3*f))/sqrt(-c*log(f) + 3*f)","A",0
320,1,169,0,0.154448," ","integrate(f^(c*x^2+b*x+a)*cosh(e*x+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) - e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - 2 \, b e \log\left(f\right) + e^{2}}{4 \, c \log\left(f\right)}\right)}}{4 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) + e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) + 2 \, b e \log\left(f\right) + e^{2}}{4 \, c \log\left(f\right)}\right)}}{4 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) - e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 4*c*d*log(f) - 2*b*e*log(f) + e^2)/(c*log(f)))/sqrt(-c*log(f)) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) + e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 4*c*d*log(f) + 2*b*e*log(f) + e^2)/(c*log(f)))/sqrt(-c*log(f))","A",0
321,1,225,0,0.147339," ","integrate(f^(c*x^2+b*x+a)*cosh(e*x+d)^2,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{4 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) - 2 \, e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 8 \, c d \log\left(f\right) - 4 \, b e \log\left(f\right) + 4 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{8 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) + 2 \, e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 8 \, c d \log\left(f\right) + 4 \, b e \log\left(f\right) + 4 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{8 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/sqrt(-c*log(f)) - 1/8*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) - 2*e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 8*c*d*log(f) - 4*b*e*log(f) + 4*e^2)/(c*log(f)))/sqrt(-c*log(f)) - 1/8*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) + 2*e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 8*c*d*log(f) + 4*b*e*log(f) + 4*e^2)/(c*log(f)))/sqrt(-c*log(f))","A",0
322,1,343,0,0.163028," ","integrate(f^(c*x^2+b*x+a)*cosh(e*x+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) - 3 \, e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) - 6 \, b e \log\left(f\right) + 9 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) - e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) - 2 \, b e \log\left(f\right) + e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) + e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) + 2 \, b e \log\left(f\right) + e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b \log\left(f\right) + 3 \, e}{c \log\left(f\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) + 6 \, b e \log\left(f\right) + 9 \, e^{2}}{4 \, c \log\left(f\right)}\right)}}{16 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) - 3*e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 12*c*d*log(f) - 6*b*e*log(f) + 9*e^2)/(c*log(f)))/sqrt(-c*log(f)) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) - e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 4*c*d*log(f) - 2*b*e*log(f) + e^2)/(c*log(f)))/sqrt(-c*log(f)) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) + e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 4*c*d*log(f) + 2*b*e*log(f) + e^2)/(c*log(f)))/sqrt(-c*log(f)) - 1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + (b*log(f) + 3*e)/(c*log(f))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 12*c*d*log(f) + 6*b*e*log(f) + 9*e^2)/(c*log(f)))/sqrt(-c*log(f))","A",0
323,1,181,0,0.158165," ","integrate(f^(c*x^2+b*x+a)*cosh(f*x^2+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) + f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{4 \, \sqrt{-c \log\left(f\right) - f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) - f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)}}{4 \, \sqrt{-c \log\left(f\right) + f}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - f)*(2*x + b*log(f)/(c*log(f) + f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 4*c*d*log(f) - 4*a*f*log(f) - 4*d*f)/(c*log(f) + f))/sqrt(-c*log(f) - f) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + f)*(2*x + b*log(f)/(c*log(f) - f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 4*c*d*log(f) + 4*a*f*log(f) - 4*d*f)/(c*log(f) - f))/sqrt(-c*log(f) + f)","A",0
324,1,239,0,0.155777," ","integrate(f^(c*x^2+b*x+a)*cosh(f*x^2+d)^2,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - 2 \, f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) + 2 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 8 \, c d \log\left(f\right) - 8 \, a f \log\left(f\right) - 16 \, d f}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right)}}{8 \, \sqrt{-c \log\left(f\right) - 2 \, f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + 2 \, f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) - 2 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 8 \, c d \log\left(f\right) + 8 \, a f \log\left(f\right) - 16 \, d f}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right)}}{8 \, \sqrt{-c \log\left(f\right) + 2 \, f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{4 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/8*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - 2*f)*(2*x + b*log(f)/(c*log(f) + 2*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 8*c*d*log(f) - 8*a*f*log(f) - 16*d*f)/(c*log(f) + 2*f))/sqrt(-c*log(f) - 2*f) - 1/8*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + 2*f)*(2*x + b*log(f)/(c*log(f) - 2*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 8*c*d*log(f) + 8*a*f*log(f) - 16*d*f)/(c*log(f) - 2*f))/sqrt(-c*log(f) + 2*f) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/sqrt(-c*log(f))","A",0
325,1,369,0,0.184864," ","integrate(f^(c*x^2+b*x+a)*cosh(f*x^2+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - 3 \, f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) + 3 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) - 12 \, a f \log\left(f\right) - 36 \, d f}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) - 3 \, f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) + f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) - f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) - f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) + 4 \, a f \log\left(f\right) - 4 \, d f}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) + f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + 3 \, f} {\left(2 \, x + \frac{b \log\left(f\right)}{c \log\left(f\right) - 3 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) + 12 \, a f \log\left(f\right) - 36 \, d f}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) + 3 \, f}}"," ",0,"-1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - 3*f)*(2*x + b*log(f)/(c*log(f) + 3*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 12*c*d*log(f) - 12*a*f*log(f) - 36*d*f)/(c*log(f) + 3*f))/sqrt(-c*log(f) - 3*f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - f)*(2*x + b*log(f)/(c*log(f) + f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 4*c*d*log(f) - 4*a*f*log(f) - 4*d*f)/(c*log(f) + f))/sqrt(-c*log(f) - f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + f)*(2*x + b*log(f)/(c*log(f) - f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 4*c*d*log(f) + 4*a*f*log(f) - 4*d*f)/(c*log(f) - f))/sqrt(-c*log(f) + f) - 1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + 3*f)*(2*x + b*log(f)/(c*log(f) - 3*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 12*c*d*log(f) + 12*a*f*log(f) - 36*d*f)/(c*log(f) - 3*f))/sqrt(-c*log(f) + 3*f)","A",0
326,1,209,0,0.168247," ","integrate(f^(c*x^2+b*x+a)*cosh(f*x^2+e*x+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - f} {\left(2 \, x + \frac{b \log\left(f\right) + e}{c \log\left(f\right) + f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - 4 \, a f \log\left(f\right) + 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{4 \, \sqrt{-c \log\left(f\right) - f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + f} {\left(2 \, x + \frac{b \log\left(f\right) - e}{c \log\left(f\right) - f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) + 4 \, a f \log\left(f\right) - 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)}}{4 \, \sqrt{-c \log\left(f\right) + f}}"," ",0,"-1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - f)*(2*x + (b*log(f) + e)/(c*log(f) + f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 4*c*d*log(f) - 4*a*f*log(f) + 2*b*e*log(f) - 4*d*f + e^2)/(c*log(f) + f))/sqrt(-c*log(f) - f) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + f)*(2*x + (b*log(f) - e)/(c*log(f) - f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 4*c*d*log(f) + 4*a*f*log(f) - 2*b*e*log(f) - 4*d*f + e^2)/(c*log(f) - f))/sqrt(-c*log(f) + f)","A",0
327,1,273,0,0.185236," ","integrate(f^(c*x^2+b*x+a)*cosh(f*x^2+e*x+d)^2,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - 2 \, f} {\left(2 \, x + \frac{b \log\left(f\right) + 2 \, e}{c \log\left(f\right) + 2 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 8 \, c d \log\left(f\right) - 8 \, a f \log\left(f\right) + 4 \, b e \log\left(f\right) - 16 \, d f + 4 \, e^{2}}{4 \, {\left(c \log\left(f\right) + 2 \, f\right)}}\right)}}{8 \, \sqrt{-c \log\left(f\right) - 2 \, f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + 2 \, f} {\left(2 \, x + \frac{b \log\left(f\right) - 2 \, e}{c \log\left(f\right) - 2 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 8 \, c d \log\left(f\right) + 8 \, a f \log\left(f\right) - 4 \, b e \log\left(f\right) - 16 \, d f + 4 \, e^{2}}{4 \, {\left(c \log\left(f\right) - 2 \, f\right)}}\right)}}{8 \, \sqrt{-c \log\left(f\right) + 2 \, f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{4 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/8*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - 2*f)*(2*x + (b*log(f) + 2*e)/(c*log(f) + 2*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 8*c*d*log(f) - 8*a*f*log(f) + 4*b*e*log(f) - 16*d*f + 4*e^2)/(c*log(f) + 2*f))/sqrt(-c*log(f) - 2*f) - 1/8*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + 2*f)*(2*x + (b*log(f) - 2*e)/(c*log(f) - 2*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 8*c*d*log(f) + 8*a*f*log(f) - 4*b*e*log(f) - 16*d*f + 4*e^2)/(c*log(f) - 2*f))/sqrt(-c*log(f) + 2*f) - 1/4*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/sqrt(-c*log(f))","A",0
328,1,431,0,0.210616," ","integrate(f^(c*x^2+b*x+a)*cosh(f*x^2+e*x+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - 3 \, f} {\left(2 \, x + \frac{b \log\left(f\right) + 3 \, e}{c \log\left(f\right) + 3 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 12 \, c d \log\left(f\right) - 12 \, a f \log\left(f\right) + 6 \, b e \log\left(f\right) - 36 \, d f + 9 \, e^{2}}{4 \, {\left(c \log\left(f\right) + 3 \, f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) - 3 \, f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - f} {\left(2 \, x + \frac{b \log\left(f\right) + e}{c \log\left(f\right) + f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) - 4 \, a f \log\left(f\right) + 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, {\left(c \log\left(f\right) + f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) - f}} - \frac{3 \, \sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + f} {\left(2 \, x + \frac{b \log\left(f\right) - e}{c \log\left(f\right) - f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 4 \, c d \log\left(f\right) + 4 \, a f \log\left(f\right) - 2 \, b e \log\left(f\right) - 4 \, d f + e^{2}}{4 \, {\left(c \log\left(f\right) - f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) + f}} - \frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) + 3 \, f} {\left(2 \, x + \frac{b \log\left(f\right) - 3 \, e}{c \log\left(f\right) - 3 \, f}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} + 12 \, c d \log\left(f\right) + 12 \, a f \log\left(f\right) - 6 \, b e \log\left(f\right) - 36 \, d f + 9 \, e^{2}}{4 \, {\left(c \log\left(f\right) - 3 \, f\right)}}\right)}}{16 \, \sqrt{-c \log\left(f\right) + 3 \, f}}"," ",0,"-1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - 3*f)*(2*x + (b*log(f) + 3*e)/(c*log(f) + 3*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 12*c*d*log(f) - 12*a*f*log(f) + 6*b*e*log(f) - 36*d*f + 9*e^2)/(c*log(f) + 3*f))/sqrt(-c*log(f) - 3*f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) - f)*(2*x + (b*log(f) + e)/(c*log(f) + f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 4*c*d*log(f) - 4*a*f*log(f) + 2*b*e*log(f) - 4*d*f + e^2)/(c*log(f) + f))/sqrt(-c*log(f) - f) - 3/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + f)*(2*x + (b*log(f) - e)/(c*log(f) - f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 4*c*d*log(f) + 4*a*f*log(f) - 2*b*e*log(f) - 4*d*f + e^2)/(c*log(f) - f))/sqrt(-c*log(f) + f) - 1/16*sqrt(pi)*erf(-1/2*sqrt(-c*log(f) + 3*f)*(2*x + (b*log(f) - 3*e)/(c*log(f) - 3*f)))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 + 12*c*d*log(f) + 12*a*f*log(f) - 6*b*e*log(f) - 36*d*f + 9*e^2)/(c*log(f) - 3*f))/sqrt(-c*log(f) + 3*f)","A",0
329,0,0,0,0.000000," ","integrate(x/cosh(x)^(3/2)+x*cosh(x)^(1/2),x, algorithm=""giac"")","\int x \sqrt{\cosh\left(x\right)} + \frac{x}{\cosh\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x*sqrt(cosh(x)) + x/cosh(x)^(3/2), x)","F",0
330,0,0,0,0.000000," ","integrate(x/cosh(x)^(5/2)-1/3*x/cosh(x)^(1/2),x, algorithm=""giac"")","\int -\frac{x}{3 \, \sqrt{\cosh\left(x\right)}} + \frac{x}{\cosh\left(x\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(-1/3*x/sqrt(cosh(x)) + x/cosh(x)^(5/2), x)","F",0
331,0,0,0,0.000000," ","integrate(x/cosh(x)^(7/2)+3/5*x*cosh(x)^(1/2),x, algorithm=""giac"")","\int \frac{3}{5} \, x \sqrt{\cosh\left(x\right)} + \frac{x}{\cosh\left(x\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(3/5*x*sqrt(cosh(x)) + x/cosh(x)^(7/2), x)","F",0
332,0,0,0,0.000000," ","integrate(x^2/cosh(x)^(3/2)+x^2*cosh(x)^(1/2),x, algorithm=""giac"")","\int x^{2} \sqrt{\cosh\left(x\right)} + \frac{x^{2}}{\cosh\left(x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2*sqrt(cosh(x)) + x^2/cosh(x)^(3/2), x)","F",0
333,1,36,0,0.131240," ","integrate((x+cosh(x))^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} - {\left(x + 1\right)} e^{\left(-x\right)} + {\left(x - 1\right)} e^{x} + \frac{1}{2} \, x + \frac{1}{8} \, e^{\left(2 \, x\right)} - \frac{1}{8} \, e^{\left(-2 \, x\right)}"," ",0,"1/3*x^3 - (x + 1)*e^(-x) + (x - 1)*e^x + 1/2*x + 1/8*e^(2*x) - 1/8*e^(-2*x)","A",0
334,1,75,0,0.117218," ","integrate((x+cosh(x))^3,x, algorithm=""giac"")","\frac{1}{4} \, x^{4} + \frac{3}{4} \, x^{2} + \frac{3}{16} \, {\left(2 \, x - 1\right)} e^{\left(2 \, x\right)} - \frac{3}{8} \, {\left(4 \, x^{2} + 8 \, x + 9\right)} e^{\left(-x\right)} - \frac{3}{16} \, {\left(2 \, x + 1\right)} e^{\left(-2 \, x\right)} + \frac{3}{8} \, {\left(4 \, x^{2} - 8 \, x + 9\right)} e^{x} + \frac{1}{24} \, e^{\left(3 \, x\right)} - \frac{1}{24} \, e^{\left(-3 \, x\right)}"," ",0,"1/4*x^4 + 3/4*x^2 + 3/16*(2*x - 1)*e^(2*x) - 3/8*(4*x^2 + 8*x + 9)*e^(-x) - 3/16*(2*x + 1)*e^(-2*x) + 3/8*(4*x^2 - 8*x + 9)*e^x + 1/24*e^(3*x) - 1/24*e^(-3*x)","A",0
335,0,0,0,0.000000," ","integrate(cosh(b*x+a)/(d*x^2+c),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)}{d x^{2} + c}\,{d x}"," ",0,"integrate(cosh(b*x + a)/(d*x^2 + c), x)","F",0
336,0,0,0,0.000000," ","integrate(cosh(b*x+a)/(e*x^2+d*x+c),x, algorithm=""giac"")","\int \frac{\cosh\left(b x + a\right)}{e x^{2} + d x + c}\,{d x}"," ",0,"integrate(cosh(b*x + a)/(e*x^2 + d*x + c), x)","F",0
