1,0,0,0,0.000000," ","integrate(x^5*(a+b*csch(d*x^2+c)),x, algorithm=""maxima"")","\frac{1}{6} \, a x^{6} + 2 \, b \int \frac{x^{5}}{e^{\left(d x^{2} + c\right)} - e^{\left(-d x^{2} - c\right)}}\,{d x}"," ",0,"1/6*a*x^6 + 2*b*integrate(x^5/(e^(d*x^2 + c) - e^(-d*x^2 - c)), x)","F",0
2,0,0,0,0.000000," ","integrate(x^4*(a+b*csch(d*x^2+c)),x, algorithm=""maxima"")","\frac{1}{5} \, a x^{5} + 2 \, b \int \frac{x^{4}}{e^{\left(d x^{2} + c\right)} - e^{\left(-d x^{2} - c\right)}}\,{d x}"," ",0,"1/5*a*x^5 + 2*b*integrate(x^4/(e^(d*x^2 + c) - e^(-d*x^2 - c)), x)","F",0
3,0,0,0,0.000000," ","integrate(x^3*(a+b*csch(d*x^2+c)),x, algorithm=""maxima"")","\frac{1}{4} \, a x^{4} + 2 \, b \int \frac{x^{3}}{e^{\left(d x^{2} + c\right)} - e^{\left(-d x^{2} - c\right)}}\,{d x}"," ",0,"1/4*a*x^4 + 2*b*integrate(x^3/(e^(d*x^2 + c) - e^(-d*x^2 - c)), x)","F",0
4,0,0,0,0.000000," ","integrate(x^2*(a+b*csch(d*x^2+c)),x, algorithm=""maxima"")","\frac{1}{3} \, a x^{3} + 2 \, b \int \frac{x^{2}}{e^{\left(d x^{2} + c\right)} - e^{\left(-d x^{2} - c\right)}}\,{d x}"," ",0,"1/3*a*x^3 + 2*b*integrate(x^2/(e^(d*x^2 + c) - e^(-d*x^2 - c)), x)","F",0
5,1,25,0,0.356326," ","integrate(x*(a+b*csch(d*x^2+c)),x, algorithm=""maxima"")","\frac{1}{2} \, a x^{2} + \frac{b \log\left(\tanh\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right)\right)}{2 \, d}"," ",0,"1/2*a*x^2 + 1/2*b*log(tanh(1/2*d*x^2 + 1/2*c))/d","A",0
6,0,0,0,0.000000," ","integrate((a+b*csch(d*x^2+c))/x,x, algorithm=""maxima"")","2 \, b \int \frac{1}{x {\left(e^{\left(d x^{2} + c\right)} - e^{\left(-d x^{2} - c\right)}\right)}}\,{d x} + a \log\left(x\right)"," ",0,"2*b*integrate(1/(x*(e^(d*x^2 + c) - e^(-d*x^2 - c))), x) + a*log(x)","F",0
7,0,0,0,0.000000," ","integrate((a+b*csch(d*x^2+c))/x^2,x, algorithm=""maxima"")","2 \, b \int \frac{1}{x^{2} {\left(e^{\left(d x^{2} + c\right)} - e^{\left(-d x^{2} - c\right)}\right)}}\,{d x} - \frac{a}{x}"," ",0,"2*b*integrate(1/(x^2*(e^(d*x^2 + c) - e^(-d*x^2 - c))), x) - a/x","F",0
8,1,271,0,0.794838," ","integrate(x^5*(a+b*csch(d*x^2+c))^2,x, algorithm=""maxima"")","\frac{1}{6} \, a^{2} x^{6} - \frac{b^{2} x^{4}}{d e^{\left(2 \, d x^{2} + 2 \, c\right)} - d} - \frac{{\left(d^{2} x^{4} \log\left(e^{\left(d x^{2} + c\right)} + 1\right) + 2 \, d x^{2} {\rm Li}_2\left(-e^{\left(d x^{2} + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d x^{2} + c\right)})\right)} a b}{d^{3}} + \frac{{\left(d^{2} x^{4} \log\left(-e^{\left(d x^{2} + c\right)} + 1\right) + 2 \, d x^{2} {\rm Li}_2\left(e^{\left(d x^{2} + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d x^{2} + c\right)})\right)} a b}{d^{3}} + \frac{{\left(d x^{2} \log\left(e^{\left(d x^{2} + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d x^{2} + c\right)}\right)\right)} b^{2}}{d^{3}} + \frac{{\left(d x^{2} \log\left(-e^{\left(d x^{2} + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d x^{2} + c\right)}\right)\right)} b^{2}}{d^{3}} - \frac{2 \, a b d^{3} x^{6} + 3 \, b^{2} d^{2} x^{4}}{6 \, d^{3}} + \frac{2 \, a b d^{3} x^{6} - 3 \, b^{2} d^{2} x^{4}}{6 \, d^{3}}"," ",0,"1/6*a^2*x^6 - b^2*x^4/(d*e^(2*d*x^2 + 2*c) - d) - (d^2*x^4*log(e^(d*x^2 + c) + 1) + 2*d*x^2*dilog(-e^(d*x^2 + c)) - 2*polylog(3, -e^(d*x^2 + c)))*a*b/d^3 + (d^2*x^4*log(-e^(d*x^2 + c) + 1) + 2*d*x^2*dilog(e^(d*x^2 + c)) - 2*polylog(3, e^(d*x^2 + c)))*a*b/d^3 + (d*x^2*log(e^(d*x^2 + c) + 1) + dilog(-e^(d*x^2 + c)))*b^2/d^3 + (d*x^2*log(-e^(d*x^2 + c) + 1) + dilog(e^(d*x^2 + c)))*b^2/d^3 - 1/6*(2*a*b*d^3*x^6 + 3*b^2*d^2*x^4)/d^3 + 1/6*(2*a*b*d^3*x^6 - 3*b^2*d^2*x^4)/d^3","A",0
9,0,0,0,0.000000," ","integrate(x^4*(a+b*csch(d*x^2+c))^2,x, algorithm=""maxima"")","\frac{1}{5} \, a^{2} x^{5} - \frac{b^{2} x^{3}}{d e^{\left(2 \, d x^{2} + 2 \, c\right)} - d} + \int \frac{4 \, a b d x^{4} - 3 \, b^{2} x^{2}}{2 \, {\left(d e^{\left(d x^{2} + c\right)} + d\right)}}\,{d x} + \int \frac{4 \, a b d x^{4} + 3 \, b^{2} x^{2}}{2 \, {\left(d e^{\left(d x^{2} + c\right)} - d\right)}}\,{d x}"," ",0,"1/5*a^2*x^5 - b^2*x^3/(d*e^(2*d*x^2 + 2*c) - d) + integrate(1/2*(4*a*b*d*x^4 - 3*b^2*x^2)/(d*e^(d*x^2 + c) + d), x) + integrate(1/2*(4*a*b*d*x^4 + 3*b^2*x^2)/(d*e^(d*x^2 + c) - d), x)","F",0
10,0,0,0,0.000000," ","integrate(x^3*(a+b*csch(d*x^2+c))^2,x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} x^{4} - \frac{1}{2} \, {\left(\frac{2 \, x^{2} e^{\left(2 \, d x^{2} + 2 \, c\right)}}{d e^{\left(2 \, d x^{2} + 2 \, c\right)} - d} - \frac{\log\left({\left(e^{\left(d x^{2} + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{d^{2}} - \frac{\log\left({\left(e^{\left(d x^{2} + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{d^{2}}\right)} b^{2} + 4 \, a b {\left(\int \frac{x^{3}}{2 \, {\left(e^{\left(d x^{2} + c\right)} + 1\right)}}\,{d x} + \int \frac{x^{3}}{2 \, {\left(e^{\left(d x^{2} + c\right)} - 1\right)}}\,{d x}\right)}"," ",0,"1/4*a^2*x^4 - 1/2*(2*x^2*e^(2*d*x^2 + 2*c)/(d*e^(2*d*x^2 + 2*c) - d) - log((e^(d*x^2 + c) + 1)*e^(-c))/d^2 - log((e^(d*x^2 + c) - 1)*e^(-c))/d^2)*b^2 + 4*a*b*(integrate(1/2*x^3/(e^(d*x^2 + c) + 1), x) + integrate(1/2*x^3/(e^(d*x^2 + c) - 1), x))","F",0
11,0,0,0,0.000000," ","integrate(x^2*(a+b*csch(d*x^2+c))^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} x^{3} - \frac{b^{2} x}{d e^{\left(2 \, d x^{2} + 2 \, c\right)} - d} + \int \frac{4 \, a b d x^{2} - b^{2}}{2 \, {\left(d e^{\left(d x^{2} + c\right)} + d\right)}}\,{d x} + \int \frac{4 \, a b d x^{2} + b^{2}}{2 \, {\left(d e^{\left(d x^{2} + c\right)} - d\right)}}\,{d x}"," ",0,"1/3*a^2*x^3 - b^2*x/(d*e^(2*d*x^2 + 2*c) - d) + integrate(1/2*(4*a*b*d*x^2 - b^2)/(d*e^(d*x^2 + c) + d), x) + integrate(1/2*(4*a*b*d*x^2 + b^2)/(d*e^(d*x^2 + c) - d), x)","F",0
12,1,49,0,0.381410," ","integrate(x*(a+b*csch(d*x^2+c))^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} x^{2} + \frac{a b \log\left(\tanh\left(\frac{1}{2} \, d x^{2} + \frac{1}{2} \, c\right)\right)}{d} + \frac{b^{2}}{d {\left(e^{\left(-2 \, d x^{2} - 2 \, c\right)} - 1\right)}}"," ",0,"1/2*a^2*x^2 + a*b*log(tanh(1/2*d*x^2 + 1/2*c))/d + b^2/(d*(e^(-2*d*x^2 - 2*c) - 1))","A",0
13,0,0,0,0.000000," ","integrate((a+b*csch(d*x^2+c))^2/x,x, algorithm=""maxima"")","a^{2} \log\left(x\right) - \frac{b^{2}}{d x^{2} e^{\left(2 \, d x^{2} + 2 \, c\right)} - d x^{2}} + \int \frac{2 \, a b d x^{2} + b^{2}}{d x^{3} e^{\left(d x^{2} + c\right)} + d x^{3}}\,{d x} + \int \frac{2 \, a b d x^{2} - b^{2}}{d x^{3} e^{\left(d x^{2} + c\right)} - d x^{3}}\,{d x}"," ",0,"a^2*log(x) - b^2/(d*x^2*e^(2*d*x^2 + 2*c) - d*x^2) + integrate((2*a*b*d*x^2 + b^2)/(d*x^3*e^(d*x^2 + c) + d*x^3), x) + integrate((2*a*b*d*x^2 - b^2)/(d*x^3*e^(d*x^2 + c) - d*x^3), x)","F",0
14,0,0,0,0.000000," ","integrate((a+b*csch(d*x^2+c))^2/x^2,x, algorithm=""maxima"")","-\frac{b^{2}}{d x^{3} e^{\left(2 \, d x^{2} + 2 \, c\right)} - d x^{3}} - \frac{a^{2}}{x} + \int \frac{4 \, a b d x^{2} + 3 \, b^{2}}{2 \, {\left(d x^{4} e^{\left(d x^{2} + c\right)} + d x^{4}\right)}}\,{d x} + \int \frac{4 \, a b d x^{2} - 3 \, b^{2}}{2 \, {\left(d x^{4} e^{\left(d x^{2} + c\right)} - d x^{4}\right)}}\,{d x}"," ",0,"-b^2/(d*x^3*e^(2*d*x^2 + 2*c) - d*x^3) - a^2/x + integrate(1/2*(4*a*b*d*x^2 + 3*b^2)/(d*x^4*e^(d*x^2 + c) + d*x^4), x) + integrate(1/2*(4*a*b*d*x^2 - 3*b^2)/(d*x^4*e^(d*x^2 + c) - d*x^4), x)","F",0
15,1,205,0,0.405535," ","integrate(x*csch(b*x^2+a)^7,x, algorithm=""maxima"")","\frac{5 \, \log\left(e^{\left(-b x^{2} - a\right)} + 1\right)}{32 \, b} - \frac{5 \, \log\left(e^{\left(-b x^{2} - a\right)} - 1\right)}{32 \, b} + \frac{15 \, e^{\left(-b x^{2} - a\right)} - 85 \, e^{\left(-3 \, b x^{2} - 3 \, a\right)} + 198 \, e^{\left(-5 \, b x^{2} - 5 \, a\right)} + 198 \, e^{\left(-7 \, b x^{2} - 7 \, a\right)} - 85 \, e^{\left(-9 \, b x^{2} - 9 \, a\right)} + 15 \, e^{\left(-11 \, b x^{2} - 11 \, a\right)}}{48 \, b {\left(6 \, e^{\left(-2 \, b x^{2} - 2 \, a\right)} - 15 \, e^{\left(-4 \, b x^{2} - 4 \, a\right)} + 20 \, e^{\left(-6 \, b x^{2} - 6 \, a\right)} - 15 \, e^{\left(-8 \, b x^{2} - 8 \, a\right)} + 6 \, e^{\left(-10 \, b x^{2} - 10 \, a\right)} - e^{\left(-12 \, b x^{2} - 12 \, a\right)} - 1\right)}}"," ",0,"5/32*log(e^(-b*x^2 - a) + 1)/b - 5/32*log(e^(-b*x^2 - a) - 1)/b + 1/48*(15*e^(-b*x^2 - a) - 85*e^(-3*b*x^2 - 3*a) + 198*e^(-5*b*x^2 - 5*a) + 198*e^(-7*b*x^2 - 7*a) - 85*e^(-9*b*x^2 - 9*a) + 15*e^(-11*b*x^2 - 11*a))/(b*(6*e^(-2*b*x^2 - 2*a) - 15*e^(-4*b*x^2 - 4*a) + 20*e^(-6*b*x^2 - 6*a) - 15*e^(-8*b*x^2 - 8*a) + 6*e^(-10*b*x^2 - 10*a) - e^(-12*b*x^2 - 12*a) - 1))","B",0
16,0,0,0,0.000000," ","integrate(x^5/(a+b*csch(d*x^2+c)),x, algorithm=""maxima"")","\frac{x^{6}}{6 \, a} - 2 \, b \int \frac{x^{5} e^{\left(d x^{2} + c\right)}}{a^{2} e^{\left(2 \, d x^{2} + 2 \, c\right)} + 2 \, a b e^{\left(d x^{2} + c\right)} - a^{2}}\,{d x}"," ",0,"1/6*x^6/a - 2*b*integrate(x^5*e^(d*x^2 + c)/(a^2*e^(2*d*x^2 + 2*c) + 2*a*b*e^(d*x^2 + c) - a^2), x)","F",0
17,0,0,0,0.000000," ","integrate(x^4/(a+b*csch(d*x^2+c)),x, algorithm=""maxima"")","\frac{x^{5}}{5 \, a} - 2 \, b \int \frac{x^{4} e^{\left(d x^{2} + c\right)}}{a^{2} e^{\left(2 \, d x^{2} + 2 \, c\right)} + 2 \, a b e^{\left(d x^{2} + c\right)} - a^{2}}\,{d x}"," ",0,"1/5*x^5/a - 2*b*integrate(x^4*e^(d*x^2 + c)/(a^2*e^(2*d*x^2 + 2*c) + 2*a*b*e^(d*x^2 + c) - a^2), x)","F",0
18,0,0,0,0.000000," ","integrate(x^3/(a+b*csch(d*x^2+c)),x, algorithm=""maxima"")","\frac{x^{4}}{4 \, a} - 2 \, b \int \frac{x^{3} e^{\left(d x^{2} + c\right)}}{a^{2} e^{\left(2 \, d x^{2} + 2 \, c\right)} + 2 \, a b e^{\left(d x^{2} + c\right)} - a^{2}}\,{d x}"," ",0,"1/4*x^4/a - 2*b*integrate(x^3*e^(d*x^2 + c)/(a^2*e^(2*d*x^2 + 2*c) + 2*a*b*e^(d*x^2 + c) - a^2), x)","F",0
19,0,0,0,0.000000," ","integrate(x^2/(a+b*csch(d*x^2+c)),x, algorithm=""maxima"")","\frac{x^{3}}{3 \, a} - 2 \, b \int \frac{x^{2} e^{\left(d x^{2} + c\right)}}{a^{2} e^{\left(2 \, d x^{2} + 2 \, c\right)} + 2 \, a b e^{\left(d x^{2} + c\right)} - a^{2}}\,{d x}"," ",0,"1/3*x^3/a - 2*b*integrate(x^2*e^(d*x^2 + c)/(a^2*e^(2*d*x^2 + 2*c) + 2*a*b*e^(d*x^2 + c) - a^2), x)","F",0
20,1,92,0,0.906372," ","integrate(x/(a+b*csch(d*x^2+c)),x, algorithm=""maxima"")","-\frac{b \log\left(\frac{a e^{\left(-d x^{2} - c\right)} - b - \sqrt{a^{2} + b^{2}}}{a e^{\left(-d x^{2} - c\right)} - b + \sqrt{a^{2} + b^{2}}}\right)}{2 \, \sqrt{a^{2} + b^{2}} a d} + \frac{d x^{2} + c}{2 \, a d}"," ",0,"-1/2*b*log((a*e^(-d*x^2 - c) - b - sqrt(a^2 + b^2))/(a*e^(-d*x^2 - c) - b + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a*d) + 1/2*(d*x^2 + c)/(a*d)","A",0
21,0,0,0,0.000000," ","integrate(1/x/(a+b*csch(d*x^2+c)),x, algorithm=""maxima"")","-2 \, b \int \frac{e^{\left(d x^{2} + c\right)}}{a^{2} x e^{\left(2 \, d x^{2} + 2 \, c\right)} + 2 \, a b x e^{\left(d x^{2} + c\right)} - a^{2} x}\,{d x} + \frac{\log\left(x\right)}{a}"," ",0,"-2*b*integrate(e^(d*x^2 + c)/(a^2*x*e^(2*d*x^2 + 2*c) + 2*a*b*x*e^(d*x^2 + c) - a^2*x), x) + log(x)/a","F",0
22,0,0,0,0.000000," ","integrate((a+b*csch(d*x^2+c))/x^2,x, algorithm=""maxima"")","2 \, b \int \frac{1}{x^{2} {\left(e^{\left(d x^{2} + c\right)} - e^{\left(-d x^{2} - c\right)}\right)}}\,{d x} - \frac{a}{x}"," ",0,"2*b*integrate(1/(x^2*(e^(d*x^2 + c) - e^(-d*x^2 - c))), x) - a/x","F",0
23,0,0,0,0.000000," ","integrate(x^5/(a+b*csch(d*x^2+c))^2,x, algorithm=""maxima"")","-\frac{{\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} x^{6} e^{\left(2 \, d x^{2}\right)} - 6 \, a b^{2} x^{4} - {\left(a^{3} d + a b^{2} d\right)} x^{6} + 2 \, {\left(3 \, b^{3} x^{4} e^{c} + {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{6}\right)} e^{\left(d x^{2}\right)}}{6 \, {\left(a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{2}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d x^{2}\right)}\right)}} - \int \frac{2 \, {\left(2 \, a b^{2} x^{2} - {\left(2 \, b^{3} x^{2} e^{c} + {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{4}\right)} e^{\left(d x^{2}\right)}\right)} x}{a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{2}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d x^{2}\right)}}\,{d x}"," ",0,"-1/6*((a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*x^6*e^(2*d*x^2) - 6*a*b^2*x^4 - (a^3*d + a*b^2*d)*x^6 + 2*(3*b^3*x^4*e^c + (a^2*b*d*e^c + b^3*d*e^c)*x^6)*e^(d*x^2))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*x^2) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*x^2)) - integrate(2*(2*a*b^2*x^2 - (2*b^3*x^2*e^c + (2*a^2*b*d*e^c + b^3*d*e^c)*x^4)*e^(d*x^2))*x/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*x^2) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*x^2)), x)","F",0
24,0,0,0,0.000000," ","integrate(x^4/(a+b*csch(d*x^2+c))^2,x, algorithm=""maxima"")","-\frac{{\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} x^{5} e^{\left(2 \, d x^{2}\right)} - 5 \, a b^{2} x^{3} - {\left(a^{3} d + a b^{2} d\right)} x^{5} + {\left(5 \, b^{3} x^{3} e^{c} + 2 \, {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{5}\right)} e^{\left(d x^{2}\right)}}{5 \, {\left(a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{2}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d x^{2}\right)}\right)}} - \int \frac{3 \, a b^{2} x^{2} - {\left(3 \, b^{3} x^{2} e^{c} + 2 \, {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{4}\right)} e^{\left(d x^{2}\right)}}{a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{2}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d x^{2}\right)}}\,{d x}"," ",0,"-1/5*((a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*x^5*e^(2*d*x^2) - 5*a*b^2*x^3 - (a^3*d + a*b^2*d)*x^5 + (5*b^3*x^3*e^c + 2*(a^2*b*d*e^c + b^3*d*e^c)*x^5)*e^(d*x^2))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*x^2) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*x^2)) - integrate((3*a*b^2*x^2 - (3*b^3*x^2*e^c + 2*(2*a^2*b*d*e^c + b^3*d*e^c)*x^4)*e^(d*x^2))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*x^2) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*x^2)), x)","F",0
25,0,0,0,0.000000," ","integrate(x^3/(a+b*csch(d*x^2+c))^2,x, algorithm=""maxima"")","-4 \, a^{2} b d \int \frac{x^{3} e^{\left(d x^{2} + c\right)}}{a^{5} d e^{\left(2 \, d x^{2} + 2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, d x^{2} + 2 \, c\right)} + 2 \, a^{4} b d e^{\left(d x^{2} + c\right)} + 2 \, a^{2} b^{3} d e^{\left(d x^{2} + c\right)} - a^{5} d - a^{3} b^{2} d}\,{d x} - 2 \, b^{3} d \int \frac{x^{3} e^{\left(d x^{2} + c\right)}}{a^{5} d e^{\left(2 \, d x^{2} + 2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, d x^{2} + 2 \, c\right)} + 2 \, a^{4} b d e^{\left(d x^{2} + c\right)} + 2 \, a^{2} b^{3} d e^{\left(d x^{2} + c\right)} - a^{5} d - a^{3} b^{2} d}\,{d x} + \frac{1}{2} \, a b^{2} {\left(\frac{b \log\left(\frac{a e^{\left(d x^{2} + c\right)} + b - \sqrt{a^{2} + b^{2}}}{a e^{\left(d x^{2} + c\right)} + b + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{5} + a^{3} b^{2}\right)} \sqrt{a^{2} + b^{2}} d^{2}} - \frac{2 \, {\left(d x^{2} + c\right)}}{{\left(a^{5} + a^{3} b^{2}\right)} d^{2}} + \frac{\log\left(a e^{\left(2 \, d x^{2} + 2 \, c\right)} + 2 \, b e^{\left(d x^{2} + c\right)} - a\right)}{{\left(a^{5} + a^{3} b^{2}\right)} d^{2}}\right)} - \frac{b^{3} \log\left(\frac{a e^{\left(d x^{2} + c\right)} + b - \sqrt{a^{2} + b^{2}}}{a e^{\left(d x^{2} + c\right)} + b + \sqrt{a^{2} + b^{2}}}\right)}{2 \, {\left(a^{4} + a^{2} b^{2}\right)} \sqrt{a^{2} + b^{2}} d^{2}} - \frac{{\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} x^{4} e^{\left(2 \, d x^{2}\right)} - 4 \, a b^{2} x^{2} - {\left(a^{3} d + a b^{2} d\right)} x^{4} + 2 \, {\left(2 \, b^{3} x^{2} e^{c} + {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{4}\right)} e^{\left(d x^{2}\right)}}{4 \, {\left(a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{2}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d x^{2}\right)}\right)}}"," ",0,"-4*a^2*b*d*integrate(x^3*e^(d*x^2 + c)/(a^5*d*e^(2*d*x^2 + 2*c) + a^3*b^2*d*e^(2*d*x^2 + 2*c) + 2*a^4*b*d*e^(d*x^2 + c) + 2*a^2*b^3*d*e^(d*x^2 + c) - a^5*d - a^3*b^2*d), x) - 2*b^3*d*integrate(x^3*e^(d*x^2 + c)/(a^5*d*e^(2*d*x^2 + 2*c) + a^3*b^2*d*e^(2*d*x^2 + 2*c) + 2*a^4*b*d*e^(d*x^2 + c) + 2*a^2*b^3*d*e^(d*x^2 + c) - a^5*d - a^3*b^2*d), x) + 1/2*a*b^2*(b*log((a*e^(d*x^2 + c) + b - sqrt(a^2 + b^2))/(a*e^(d*x^2 + c) + b + sqrt(a^2 + b^2)))/((a^5 + a^3*b^2)*sqrt(a^2 + b^2)*d^2) - 2*(d*x^2 + c)/((a^5 + a^3*b^2)*d^2) + log(a*e^(2*d*x^2 + 2*c) + 2*b*e^(d*x^2 + c) - a)/((a^5 + a^3*b^2)*d^2)) - 1/2*b^3*log((a*e^(d*x^2 + c) + b - sqrt(a^2 + b^2))/(a*e^(d*x^2 + c) + b + sqrt(a^2 + b^2)))/((a^4 + a^2*b^2)*sqrt(a^2 + b^2)*d^2) - 1/4*((a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*x^4*e^(2*d*x^2) - 4*a*b^2*x^2 - (a^3*d + a*b^2*d)*x^4 + 2*(2*b^3*x^2*e^c + (a^2*b*d*e^c + b^3*d*e^c)*x^4)*e^(d*x^2))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*x^2) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*x^2))","F",0
26,0,0,0,0.000000," ","integrate(x^2/(a+b*csch(d*x^2+c))^2,x, algorithm=""maxima"")","-\frac{{\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} x^{3} e^{\left(2 \, d x^{2}\right)} - 3 \, a b^{2} x - {\left(a^{3} d + a b^{2} d\right)} x^{3} + {\left(3 \, b^{3} x e^{c} + 2 \, {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{3}\right)} e^{\left(d x^{2}\right)}}{3 \, {\left(a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{2}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d x^{2}\right)}\right)}} - \int \frac{a b^{2} - {\left(b^{3} e^{c} + 2 \, {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d x^{2}\right)}}{a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{2}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d x^{2}\right)}}\,{d x}"," ",0,"-1/3*((a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*x^3*e^(2*d*x^2) - 3*a*b^2*x - (a^3*d + a*b^2*d)*x^3 + (3*b^3*x*e^c + 2*(a^2*b*d*e^c + b^3*d*e^c)*x^3)*e^(d*x^2))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*x^2) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*x^2)) - integrate((a*b^2 - (b^3*e^c + 2*(2*a^2*b*d*e^c + b^3*d*e^c)*x^2)*e^(d*x^2))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*x^2) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*x^2)), x)","F",0
27,1,200,0,0.866821," ","integrate(x/(a+b*csch(d*x^2+c))^2,x, algorithm=""maxima"")","-\frac{{\left(2 \, a^{2} b + b^{3}\right)} \log\left(\frac{a e^{\left(-d x^{2} - c\right)} - b - \sqrt{a^{2} + b^{2}}}{a e^{\left(-d x^{2} - c\right)} - b + \sqrt{a^{2} + b^{2}}}\right)}{2 \, {\left(a^{4} + a^{2} b^{2}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{b^{3} e^{\left(-d x^{2} - c\right)} + a b^{2}}{{\left(a^{5} + a^{3} b^{2} + 2 \, {\left(a^{4} b + a^{2} b^{3}\right)} e^{\left(-d x^{2} - c\right)} - {\left(a^{5} + a^{3} b^{2}\right)} e^{\left(-2 \, d x^{2} - 2 \, c\right)}\right)} d} + \frac{d x^{2} + c}{2 \, a^{2} d}"," ",0,"-1/2*(2*a^2*b + b^3)*log((a*e^(-d*x^2 - c) - b - sqrt(a^2 + b^2))/(a*e^(-d*x^2 - c) - b + sqrt(a^2 + b^2)))/((a^4 + a^2*b^2)*sqrt(a^2 + b^2)*d) - (b^3*e^(-d*x^2 - c) + a*b^2)/((a^5 + a^3*b^2 + 2*(a^4*b + a^2*b^3)*e^(-d*x^2 - c) - (a^5 + a^3*b^2)*e^(-2*d*x^2 - 2*c))*d) + 1/2*(d*x^2 + c)/(a^2*d)","A",0
28,0,0,0,0.000000," ","integrate(1/x/(a+b*csch(d*x^2+c))^2,x, algorithm=""maxima"")","\frac{b^{3} e^{\left(d x^{2} + c\right)} - a b^{2}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x^{2} e^{\left(d x^{2}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x^{2}} + \frac{\log\left(x\right)}{a^{2}} - \int \frac{2 \, {\left(a b^{2} - {\left(b^{3} e^{c} - {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d x^{2}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{3} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x^{3} e^{\left(d x^{2}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x^{3}}\,{d x}"," ",0,"(b^3*e^(d*x^2 + c) - a*b^2)/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x^2*e^(2*d*x^2) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x^2*e^(d*x^2) - (a^5*d + a^3*b^2*d)*x^2) + log(x)/a^2 - integrate(2*(a*b^2 - (b^3*e^c - (2*a^2*b*d*e^c + b^3*d*e^c)*x^2)*e^(d*x^2))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x^3*e^(2*d*x^2) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x^3*e^(d*x^2) - (a^5*d + a^3*b^2*d)*x^3), x)","F",0
29,0,0,0,0.000000," ","integrate(1/x^2/(a+b*csch(d*x^2+c))^2,x, algorithm=""maxima"")","-\frac{{\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d x^{2}\right)} + a b^{2} - {\left(a^{3} d + a b^{2} d\right)} x^{2} - {\left(b^{3} e^{c} - 2 \, {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d x^{2}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{3} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x^{3} e^{\left(d x^{2}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x^{3}} - \int \frac{3 \, a b^{2} - {\left(3 \, b^{3} e^{c} - 2 \, {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d x^{2}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{4} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x^{4} e^{\left(d x^{2}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x^{4}}\,{d x}"," ",0,"-((a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*x^2*e^(2*d*x^2) + a*b^2 - (a^3*d + a*b^2*d)*x^2 - (b^3*e^c - 2*(a^2*b*d*e^c + b^3*d*e^c)*x^2)*e^(d*x^2))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x^3*e^(2*d*x^2) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x^3*e^(d*x^2) - (a^5*d + a^3*b^2*d)*x^3) - integrate((3*a*b^2 - (3*b^3*e^c - 2*(2*a^2*b*d*e^c + b^3*d*e^c)*x^2)*e^(d*x^2))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x^4*e^(2*d*x^2) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x^4*e^(d*x^2) - (a^5*d + a^3*b^2*d)*x^4), x)","F",0
30,0,0,0,0.000000," ","integrate(1/x^3/(a+b*csch(d*x^2+c))^2,x, algorithm=""maxima"")","-\frac{{\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d x^{2}\right)} + 2 \, a b^{2} - {\left(a^{3} d + a b^{2} d\right)} x^{2} - 2 \, {\left(b^{3} e^{c} - {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d x^{2}\right)}}{2 \, {\left({\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{4} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x^{4} e^{\left(d x^{2}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x^{4}\right)}} - \int \frac{2 \, {\left(2 \, a b^{2} - {\left(2 \, b^{3} e^{c} - {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d x^{2}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{5} e^{\left(2 \, d x^{2}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x^{5} e^{\left(d x^{2}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x^{5}}\,{d x}"," ",0,"-1/2*((a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*x^2*e^(2*d*x^2) + 2*a*b^2 - (a^3*d + a*b^2*d)*x^2 - 2*(b^3*e^c - (a^2*b*d*e^c + b^3*d*e^c)*x^2)*e^(d*x^2))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x^4*e^(2*d*x^2) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x^4*e^(d*x^2) - (a^5*d + a^3*b^2*d)*x^4) - integrate(2*(2*a*b^2 - (2*b^3*e^c - (2*a^2*b*d*e^c + b^3*d*e^c)*x^2)*e^(d*x^2))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x^5*e^(2*d*x^2) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x^5*e^(d*x^2) - (a^5*d + a^3*b^2*d)*x^5), x)","F",0
31,1,349,0,0.895356," ","integrate(x^3*(a+b*csch(c+d*x^(1/2))),x, algorithm=""maxima"")","\frac{1}{4} \, a x^{4} - \frac{2 \, {\left(\log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{7} + 7 \, {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{6} - 42 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{5} {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)}) + 210 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{4} {\rm Li}_{4}(-e^{\left(d \sqrt{x} + c\right)}) - 840 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{3} {\rm Li}_{5}(-e^{\left(d \sqrt{x} + c\right)}) + 2520 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{2} {\rm Li}_{6}(-e^{\left(d \sqrt{x} + c\right)}) - 5040 \, \log\left(e^{\left(d \sqrt{x}\right)}\right) {\rm Li}_{7}(-e^{\left(d \sqrt{x} + c\right)}) + 5040 \, {\rm Li}_{8}(-e^{\left(d \sqrt{x} + c\right)})\right)} b}{d^{8}} + \frac{2 \, {\left(\log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{7} + 7 \, {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{6} - 42 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{5} {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)}) + 210 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{4} {\rm Li}_{4}(e^{\left(d \sqrt{x} + c\right)}) - 840 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{3} {\rm Li}_{5}(e^{\left(d \sqrt{x} + c\right)}) + 2520 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{2} {\rm Li}_{6}(e^{\left(d \sqrt{x} + c\right)}) - 5040 \, \log\left(e^{\left(d \sqrt{x}\right)}\right) {\rm Li}_{7}(e^{\left(d \sqrt{x} + c\right)}) + 5040 \, {\rm Li}_{8}(e^{\left(d \sqrt{x} + c\right)})\right)} b}{d^{8}}"," ",0,"1/4*a*x^4 - 2*(log(e^(d*sqrt(x) + c) + 1)*log(e^(d*sqrt(x)))^7 + 7*dilog(-e^(d*sqrt(x) + c))*log(e^(d*sqrt(x)))^6 - 42*log(e^(d*sqrt(x)))^5*polylog(3, -e^(d*sqrt(x) + c)) + 210*log(e^(d*sqrt(x)))^4*polylog(4, -e^(d*sqrt(x) + c)) - 840*log(e^(d*sqrt(x)))^3*polylog(5, -e^(d*sqrt(x) + c)) + 2520*log(e^(d*sqrt(x)))^2*polylog(6, -e^(d*sqrt(x) + c)) - 5040*log(e^(d*sqrt(x)))*polylog(7, -e^(d*sqrt(x) + c)) + 5040*polylog(8, -e^(d*sqrt(x) + c)))*b/d^8 + 2*(log(-e^(d*sqrt(x) + c) + 1)*log(e^(d*sqrt(x)))^7 + 7*dilog(e^(d*sqrt(x) + c))*log(e^(d*sqrt(x)))^6 - 42*log(e^(d*sqrt(x)))^5*polylog(3, e^(d*sqrt(x) + c)) + 210*log(e^(d*sqrt(x)))^4*polylog(4, e^(d*sqrt(x) + c)) - 840*log(e^(d*sqrt(x)))^3*polylog(5, e^(d*sqrt(x) + c)) + 2520*log(e^(d*sqrt(x)))^2*polylog(6, e^(d*sqrt(x) + c)) - 5040*log(e^(d*sqrt(x)))*polylog(7, e^(d*sqrt(x) + c)) + 5040*polylog(8, e^(d*sqrt(x) + c)))*b/d^8","A",0
32,1,261,0,0.645926," ","integrate(x^2*(a+b*csch(c+d*x^(1/2))),x, algorithm=""maxima"")","\frac{1}{3} \, a x^{3} - \frac{2 \, {\left(\log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{5} + 5 \, {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{4} - 20 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{3} {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)}) + 60 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{2} {\rm Li}_{4}(-e^{\left(d \sqrt{x} + c\right)}) - 120 \, \log\left(e^{\left(d \sqrt{x}\right)}\right) {\rm Li}_{5}(-e^{\left(d \sqrt{x} + c\right)}) + 120 \, {\rm Li}_{6}(-e^{\left(d \sqrt{x} + c\right)})\right)} b}{d^{6}} + \frac{2 \, {\left(\log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{5} + 5 \, {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{4} - 20 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{3} {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)}) + 60 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{2} {\rm Li}_{4}(e^{\left(d \sqrt{x} + c\right)}) - 120 \, \log\left(e^{\left(d \sqrt{x}\right)}\right) {\rm Li}_{5}(e^{\left(d \sqrt{x} + c\right)}) + 120 \, {\rm Li}_{6}(e^{\left(d \sqrt{x} + c\right)})\right)} b}{d^{6}}"," ",0,"1/3*a*x^3 - 2*(log(e^(d*sqrt(x) + c) + 1)*log(e^(d*sqrt(x)))^5 + 5*dilog(-e^(d*sqrt(x) + c))*log(e^(d*sqrt(x)))^4 - 20*log(e^(d*sqrt(x)))^3*polylog(3, -e^(d*sqrt(x) + c)) + 60*log(e^(d*sqrt(x)))^2*polylog(4, -e^(d*sqrt(x) + c)) - 120*log(e^(d*sqrt(x)))*polylog(5, -e^(d*sqrt(x) + c)) + 120*polylog(6, -e^(d*sqrt(x) + c)))*b/d^6 + 2*(log(-e^(d*sqrt(x) + c) + 1)*log(e^(d*sqrt(x)))^5 + 5*dilog(e^(d*sqrt(x) + c))*log(e^(d*sqrt(x)))^4 - 20*log(e^(d*sqrt(x)))^3*polylog(3, e^(d*sqrt(x) + c)) + 60*log(e^(d*sqrt(x)))^2*polylog(4, e^(d*sqrt(x) + c)) - 120*log(e^(d*sqrt(x)))*polylog(5, e^(d*sqrt(x) + c)) + 120*polylog(6, e^(d*sqrt(x) + c)))*b/d^6","A",0
33,1,173,0,0.580462," ","integrate(x*(a+b*csch(c+d*x^(1/2))),x, algorithm=""maxima"")","\frac{1}{2} \, a x^{2} - \frac{2 \, {\left(\log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{3} + 3 \, {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{2} - 6 \, \log\left(e^{\left(d \sqrt{x}\right)}\right) {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d \sqrt{x} + c\right)})\right)} b}{d^{4}} + \frac{2 \, {\left(\log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{3} + 3 \, {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{2} - 6 \, \log\left(e^{\left(d \sqrt{x}\right)}\right) {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d \sqrt{x} + c\right)})\right)} b}{d^{4}}"," ",0,"1/2*a*x^2 - 2*(log(e^(d*sqrt(x) + c) + 1)*log(e^(d*sqrt(x)))^3 + 3*dilog(-e^(d*sqrt(x) + c))*log(e^(d*sqrt(x)))^2 - 6*log(e^(d*sqrt(x)))*polylog(3, -e^(d*sqrt(x) + c)) + 6*polylog(4, -e^(d*sqrt(x) + c)))*b/d^4 + 2*(log(-e^(d*sqrt(x) + c) + 1)*log(e^(d*sqrt(x)))^3 + 3*dilog(e^(d*sqrt(x) + c))*log(e^(d*sqrt(x)))^2 - 6*log(e^(d*sqrt(x)))*polylog(3, e^(d*sqrt(x) + c)) + 6*polylog(4, e^(d*sqrt(x) + c)))*b/d^4","A",0
34,0,0,0,0.000000," ","integrate((a+b*csch(c+d*x^(1/2)))/x,x, algorithm=""maxima"")","b \int \frac{1}{x e^{\left(d \sqrt{x} + c\right)} + x}\,{d x} + b \int \frac{1}{x e^{\left(d \sqrt{x} + c\right)} - x}\,{d x} + a \log\left(x\right)"," ",0,"b*integrate(1/(x*e^(d*sqrt(x) + c) + x), x) + b*integrate(1/(x*e^(d*sqrt(x) + c) - x), x) + a*log(x)","F",0
35,0,0,0,0.000000," ","integrate((a+b*csch(c+d*x^(1/2)))/x^2,x, algorithm=""maxima"")","b \int \frac{1}{x^{2} e^{\left(d \sqrt{x} + c\right)} + x^{2}}\,{d x} + b \int \frac{1}{x^{2} e^{\left(d \sqrt{x} + c\right)} - x^{2}}\,{d x} - \frac{a}{x}"," ",0,"b*integrate(1/(x^2*e^(d*sqrt(x) + c) + x^2), x) + b*integrate(1/(x^2*e^(d*sqrt(x) + c) - x^2), x) - a/x","F",0
36,1,648,0,0.558670," ","integrate(x^3*(a+b*csch(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} x^{4} - \frac{4 \, b^{2} x^{\frac{7}{2}}}{d e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} - d} - \frac{4 \, {\left(d^{7} x^{\frac{7}{2}} \log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) + 7 \, d^{6} x^{3} {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) - 42 \, d^{5} x^{\frac{5}{2}} {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)}) + 210 \, d^{4} x^{2} {\rm Li}_{4}(-e^{\left(d \sqrt{x} + c\right)}) - 840 \, d^{3} x^{\frac{3}{2}} {\rm Li}_{5}(-e^{\left(d \sqrt{x} + c\right)}) + 2520 \, d^{2} x {\rm Li}_{6}(-e^{\left(d \sqrt{x} + c\right)}) - 5040 \, d \sqrt{x} {\rm Li}_{7}(-e^{\left(d \sqrt{x} + c\right)}) + 5040 \, {\rm Li}_{8}(-e^{\left(d \sqrt{x} + c\right)})\right)} a b}{d^{8}} + \frac{4 \, {\left(d^{7} x^{\frac{7}{2}} \log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) + 7 \, d^{6} x^{3} {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) - 42 \, d^{5} x^{\frac{5}{2}} {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)}) + 210 \, d^{4} x^{2} {\rm Li}_{4}(e^{\left(d \sqrt{x} + c\right)}) - 840 \, d^{3} x^{\frac{3}{2}} {\rm Li}_{5}(e^{\left(d \sqrt{x} + c\right)}) + 2520 \, d^{2} x {\rm Li}_{6}(e^{\left(d \sqrt{x} + c\right)}) - 5040 \, d \sqrt{x} {\rm Li}_{7}(e^{\left(d \sqrt{x} + c\right)}) + 5040 \, {\rm Li}_{8}(e^{\left(d \sqrt{x} + c\right)})\right)} a b}{d^{8}} + \frac{14 \, {\left(d^{6} x^{3} \log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) + 6 \, d^{5} x^{\frac{5}{2}} {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) - 30 \, d^{4} x^{2} {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)}) + 120 \, d^{3} x^{\frac{3}{2}} {\rm Li}_{4}(-e^{\left(d \sqrt{x} + c\right)}) - 360 \, d^{2} x {\rm Li}_{5}(-e^{\left(d \sqrt{x} + c\right)}) + 720 \, d \sqrt{x} {\rm Li}_{6}(-e^{\left(d \sqrt{x} + c\right)}) - 720 \, {\rm Li}_{7}(-e^{\left(d \sqrt{x} + c\right)})\right)} b^{2}}{d^{8}} + \frac{14 \, {\left(d^{6} x^{3} \log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) + 6 \, d^{5} x^{\frac{5}{2}} {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) - 30 \, d^{4} x^{2} {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)}) + 120 \, d^{3} x^{\frac{3}{2}} {\rm Li}_{4}(e^{\left(d \sqrt{x} + c\right)}) - 360 \, d^{2} x {\rm Li}_{5}(e^{\left(d \sqrt{x} + c\right)}) + 720 \, d \sqrt{x} {\rm Li}_{6}(e^{\left(d \sqrt{x} + c\right)}) - 720 \, {\rm Li}_{7}(e^{\left(d \sqrt{x} + c\right)})\right)} b^{2}}{d^{8}} - \frac{a b d^{8} x^{4} + 4 \, b^{2} d^{7} x^{\frac{7}{2}}}{2 \, d^{8}} + \frac{a b d^{8} x^{4} - 4 \, b^{2} d^{7} x^{\frac{7}{2}}}{2 \, d^{8}}"," ",0,"1/4*a^2*x^4 - 4*b^2*x^(7/2)/(d*e^(2*d*sqrt(x) + 2*c) - d) - 4*(d^7*x^(7/2)*log(e^(d*sqrt(x) + c) + 1) + 7*d^6*x^3*dilog(-e^(d*sqrt(x) + c)) - 42*d^5*x^(5/2)*polylog(3, -e^(d*sqrt(x) + c)) + 210*d^4*x^2*polylog(4, -e^(d*sqrt(x) + c)) - 840*d^3*x^(3/2)*polylog(5, -e^(d*sqrt(x) + c)) + 2520*d^2*x*polylog(6, -e^(d*sqrt(x) + c)) - 5040*d*sqrt(x)*polylog(7, -e^(d*sqrt(x) + c)) + 5040*polylog(8, -e^(d*sqrt(x) + c)))*a*b/d^8 + 4*(d^7*x^(7/2)*log(-e^(d*sqrt(x) + c) + 1) + 7*d^6*x^3*dilog(e^(d*sqrt(x) + c)) - 42*d^5*x^(5/2)*polylog(3, e^(d*sqrt(x) + c)) + 210*d^4*x^2*polylog(4, e^(d*sqrt(x) + c)) - 840*d^3*x^(3/2)*polylog(5, e^(d*sqrt(x) + c)) + 2520*d^2*x*polylog(6, e^(d*sqrt(x) + c)) - 5040*d*sqrt(x)*polylog(7, e^(d*sqrt(x) + c)) + 5040*polylog(8, e^(d*sqrt(x) + c)))*a*b/d^8 + 14*(d^6*x^3*log(e^(d*sqrt(x) + c) + 1) + 6*d^5*x^(5/2)*dilog(-e^(d*sqrt(x) + c)) - 30*d^4*x^2*polylog(3, -e^(d*sqrt(x) + c)) + 120*d^3*x^(3/2)*polylog(4, -e^(d*sqrt(x) + c)) - 360*d^2*x*polylog(5, -e^(d*sqrt(x) + c)) + 720*d*sqrt(x)*polylog(6, -e^(d*sqrt(x) + c)) - 720*polylog(7, -e^(d*sqrt(x) + c)))*b^2/d^8 + 14*(d^6*x^3*log(-e^(d*sqrt(x) + c) + 1) + 6*d^5*x^(5/2)*dilog(e^(d*sqrt(x) + c)) - 30*d^4*x^2*polylog(3, e^(d*sqrt(x) + c)) + 120*d^3*x^(3/2)*polylog(4, e^(d*sqrt(x) + c)) - 360*d^2*x*polylog(5, e^(d*sqrt(x) + c)) + 720*d*sqrt(x)*polylog(6, e^(d*sqrt(x) + c)) - 720*polylog(7, e^(d*sqrt(x) + c)))*b^2/d^8 - 1/2*(a*b*d^8*x^4 + 4*b^2*d^7*x^(7/2))/d^8 + 1/2*(a*b*d^8*x^4 - 4*b^2*d^7*x^(7/2))/d^8","A",0
37,1,496,0,0.783921," ","integrate(x^2*(a+b*csch(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} x^{3} - \frac{4 \, b^{2} x^{\frac{5}{2}}}{d e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} - d} - \frac{4 \, {\left(d^{5} x^{\frac{5}{2}} \log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) + 5 \, d^{4} x^{2} {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) - 20 \, d^{3} x^{\frac{3}{2}} {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)}) + 60 \, d^{2} x {\rm Li}_{4}(-e^{\left(d \sqrt{x} + c\right)}) - 120 \, d \sqrt{x} {\rm Li}_{5}(-e^{\left(d \sqrt{x} + c\right)}) + 120 \, {\rm Li}_{6}(-e^{\left(d \sqrt{x} + c\right)})\right)} a b}{d^{6}} + \frac{4 \, {\left(d^{5} x^{\frac{5}{2}} \log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) + 5 \, d^{4} x^{2} {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) - 20 \, d^{3} x^{\frac{3}{2}} {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)}) + 60 \, d^{2} x {\rm Li}_{4}(e^{\left(d \sqrt{x} + c\right)}) - 120 \, d \sqrt{x} {\rm Li}_{5}(e^{\left(d \sqrt{x} + c\right)}) + 120 \, {\rm Li}_{6}(e^{\left(d \sqrt{x} + c\right)})\right)} a b}{d^{6}} + \frac{10 \, {\left(d^{4} x^{2} \log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) + 4 \, d^{3} x^{\frac{3}{2}} {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) - 12 \, d^{2} x {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)}) + 24 \, d \sqrt{x} {\rm Li}_{4}(-e^{\left(d \sqrt{x} + c\right)}) - 24 \, {\rm Li}_{5}(-e^{\left(d \sqrt{x} + c\right)})\right)} b^{2}}{d^{6}} + \frac{10 \, {\left(d^{4} x^{2} \log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) + 4 \, d^{3} x^{\frac{3}{2}} {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) - 12 \, d^{2} x {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)}) + 24 \, d \sqrt{x} {\rm Li}_{4}(e^{\left(d \sqrt{x} + c\right)}) - 24 \, {\rm Li}_{5}(e^{\left(d \sqrt{x} + c\right)})\right)} b^{2}}{d^{6}} - \frac{2 \, {\left(a b d^{6} x^{3} + 3 \, b^{2} d^{5} x^{\frac{5}{2}}\right)}}{3 \, d^{6}} + \frac{2 \, {\left(a b d^{6} x^{3} - 3 \, b^{2} d^{5} x^{\frac{5}{2}}\right)}}{3 \, d^{6}}"," ",0,"1/3*a^2*x^3 - 4*b^2*x^(5/2)/(d*e^(2*d*sqrt(x) + 2*c) - d) - 4*(d^5*x^(5/2)*log(e^(d*sqrt(x) + c) + 1) + 5*d^4*x^2*dilog(-e^(d*sqrt(x) + c)) - 20*d^3*x^(3/2)*polylog(3, -e^(d*sqrt(x) + c)) + 60*d^2*x*polylog(4, -e^(d*sqrt(x) + c)) - 120*d*sqrt(x)*polylog(5, -e^(d*sqrt(x) + c)) + 120*polylog(6, -e^(d*sqrt(x) + c)))*a*b/d^6 + 4*(d^5*x^(5/2)*log(-e^(d*sqrt(x) + c) + 1) + 5*d^4*x^2*dilog(e^(d*sqrt(x) + c)) - 20*d^3*x^(3/2)*polylog(3, e^(d*sqrt(x) + c)) + 60*d^2*x*polylog(4, e^(d*sqrt(x) + c)) - 120*d*sqrt(x)*polylog(5, e^(d*sqrt(x) + c)) + 120*polylog(6, e^(d*sqrt(x) + c)))*a*b/d^6 + 10*(d^4*x^2*log(e^(d*sqrt(x) + c) + 1) + 4*d^3*x^(3/2)*dilog(-e^(d*sqrt(x) + c)) - 12*d^2*x*polylog(3, -e^(d*sqrt(x) + c)) + 24*d*sqrt(x)*polylog(4, -e^(d*sqrt(x) + c)) - 24*polylog(5, -e^(d*sqrt(x) + c)))*b^2/d^6 + 10*(d^4*x^2*log(-e^(d*sqrt(x) + c) + 1) + 4*d^3*x^(3/2)*dilog(e^(d*sqrt(x) + c)) - 12*d^2*x*polylog(3, e^(d*sqrt(x) + c)) + 24*d*sqrt(x)*polylog(4, e^(d*sqrt(x) + c)) - 24*polylog(5, e^(d*sqrt(x) + c)))*b^2/d^6 - 2/3*(a*b*d^6*x^3 + 3*b^2*d^5*x^(5/2))/d^6 + 2/3*(a*b*d^6*x^3 - 3*b^2*d^5*x^(5/2))/d^6","A",0
38,1,343,0,0.795789," ","integrate(x*(a+b*csch(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} x^{2} - \frac{4 \, b^{2} x^{\frac{3}{2}}}{d e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} - d} - \frac{4 \, {\left(d^{3} x^{\frac{3}{2}} \log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) + 3 \, d^{2} x {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) - 6 \, d \sqrt{x} {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d \sqrt{x} + c\right)})\right)} a b}{d^{4}} + \frac{4 \, {\left(d^{3} x^{\frac{3}{2}} \log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) + 3 \, d^{2} x {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) - 6 \, d \sqrt{x} {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d \sqrt{x} + c\right)})\right)} a b}{d^{4}} + \frac{6 \, {\left(d^{2} x \log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) + 2 \, d \sqrt{x} {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)})\right)} b^{2}}{d^{4}} + \frac{6 \, {\left(d^{2} x \log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) + 2 \, d \sqrt{x} {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)})\right)} b^{2}}{d^{4}} - \frac{a b d^{4} x^{2} + 2 \, b^{2} d^{3} x^{\frac{3}{2}}}{d^{4}} + \frac{a b d^{4} x^{2} - 2 \, b^{2} d^{3} x^{\frac{3}{2}}}{d^{4}}"," ",0,"1/2*a^2*x^2 - 4*b^2*x^(3/2)/(d*e^(2*d*sqrt(x) + 2*c) - d) - 4*(d^3*x^(3/2)*log(e^(d*sqrt(x) + c) + 1) + 3*d^2*x*dilog(-e^(d*sqrt(x) + c)) - 6*d*sqrt(x)*polylog(3, -e^(d*sqrt(x) + c)) + 6*polylog(4, -e^(d*sqrt(x) + c)))*a*b/d^4 + 4*(d^3*x^(3/2)*log(-e^(d*sqrt(x) + c) + 1) + 3*d^2*x*dilog(e^(d*sqrt(x) + c)) - 6*d*sqrt(x)*polylog(3, e^(d*sqrt(x) + c)) + 6*polylog(4, e^(d*sqrt(x) + c)))*a*b/d^4 + 6*(d^2*x*log(e^(d*sqrt(x) + c) + 1) + 2*d*sqrt(x)*dilog(-e^(d*sqrt(x) + c)) - 2*polylog(3, -e^(d*sqrt(x) + c)))*b^2/d^4 + 6*(d^2*x*log(-e^(d*sqrt(x) + c) + 1) + 2*d*sqrt(x)*dilog(e^(d*sqrt(x) + c)) - 2*polylog(3, e^(d*sqrt(x) + c)))*b^2/d^4 - (a*b*d^4*x^2 + 2*b^2*d^3*x^(3/2))/d^4 + (a*b*d^4*x^2 - 2*b^2*d^3*x^(3/2))/d^4","A",0
39,0,0,0,0.000000," ","integrate((a+b*csch(c+d*x^(1/2)))^2/x,x, algorithm=""maxima"")","a^{2} \log\left(x\right) - \frac{4 \, b^{2} \sqrt{x}}{d x e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} - d x} + \int \frac{2 \, a b d x + b^{2} \sqrt{x}}{d x^{2} e^{\left(d \sqrt{x} + c\right)} + d x^{2}}\,{d x} - \int -\frac{2 \, a b d x - b^{2} \sqrt{x}}{d x^{2} e^{\left(d \sqrt{x} + c\right)} - d x^{2}}\,{d x}"," ",0,"a^2*log(x) - 4*b^2*sqrt(x)/(d*x*e^(2*d*sqrt(x) + 2*c) - d*x) + integrate((2*a*b*d*x + b^2*sqrt(x))/(d*x^2*e^(d*sqrt(x) + c) + d*x^2), x) - integrate(-(2*a*b*d*x - b^2*sqrt(x))/(d*x^2*e^(d*sqrt(x) + c) - d*x^2), x)","F",0
40,0,0,0,0.000000," ","integrate((a+b*csch(c+d*x^(1/2)))^2/x^2,x, algorithm=""maxima"")","-\frac{a^{2} d x e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} - a^{2} d x + 4 \, b^{2} \sqrt{x}}{d x^{2} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} - d x^{2}} + \int \frac{2 \, a b d x + 3 \, b^{2} \sqrt{x}}{d x^{3} e^{\left(d \sqrt{x} + c\right)} + d x^{3}}\,{d x} - \int -\frac{2 \, a b d x - 3 \, b^{2} \sqrt{x}}{d x^{3} e^{\left(d \sqrt{x} + c\right)} - d x^{3}}\,{d x}"," ",0,"-(a^2*d*x*e^(2*d*sqrt(x) + 2*c) - a^2*d*x + 4*b^2*sqrt(x))/(d*x^2*e^(2*d*sqrt(x) + 2*c) - d*x^2) + integrate((2*a*b*d*x + 3*b^2*sqrt(x))/(d*x^3*e^(d*sqrt(x) + c) + d*x^3), x) - integrate(-(2*a*b*d*x - 3*b^2*sqrt(x))/(d*x^3*e^(d*sqrt(x) + c) - d*x^3), x)","F",0
41,0,0,0,0.000000," ","integrate(x^3/(a+b*csch(c+d*x^(1/2))),x, algorithm=""maxima"")","\frac{x^{4}}{4 \, a} - 2 \, b \int \frac{x^{3} e^{\left(d \sqrt{x} + c\right)}}{a^{2} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 2 \, a b e^{\left(d \sqrt{x} + c\right)} - a^{2}}\,{d x}"," ",0,"1/4*x^4/a - 2*b*integrate(x^3*e^(d*sqrt(x) + c)/(a^2*e^(2*d*sqrt(x) + 2*c) + 2*a*b*e^(d*sqrt(x) + c) - a^2), x)","F",0
42,0,0,0,0.000000," ","integrate(x^2/(a+b*csch(c+d*x^(1/2))),x, algorithm=""maxima"")","\frac{x^{3}}{3 \, a} - 2 \, b \int \frac{x^{2} e^{\left(d \sqrt{x} + c\right)}}{a^{2} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 2 \, a b e^{\left(d \sqrt{x} + c\right)} - a^{2}}\,{d x}"," ",0,"1/3*x^3/a - 2*b*integrate(x^2*e^(d*sqrt(x) + c)/(a^2*e^(2*d*sqrt(x) + 2*c) + 2*a*b*e^(d*sqrt(x) + c) - a^2), x)","F",0
43,0,0,0,0.000000," ","integrate(x/(a+b*csch(c+d*x^(1/2))),x, algorithm=""maxima"")","-2 \, b \int \frac{x e^{\left(d \sqrt{x} + c\right)}}{a^{2} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 2 \, a b e^{\left(d \sqrt{x} + c\right)} - a^{2}}\,{d x} + \frac{x^{2}}{2 \, a}"," ",0,"-2*b*integrate(x*e^(d*sqrt(x) + c)/(a^2*e^(2*d*sqrt(x) + 2*c) + 2*a*b*e^(d*sqrt(x) + c) - a^2), x) + 1/2*x^2/a","F",0
44,0,0,0,0.000000," ","integrate(1/x/(a+b*csch(c+d*x^(1/2))),x, algorithm=""maxima"")","-2 \, b \int \frac{e^{\left(d \sqrt{x} + c\right)}}{a^{2} x e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 2 \, a b x e^{\left(d \sqrt{x} + c\right)} - a^{2} x}\,{d x} + \frac{\log\left(x\right)}{a}"," ",0,"-2*b*integrate(e^(d*sqrt(x) + c)/(a^2*x*e^(2*d*sqrt(x) + 2*c) + 2*a*b*x*e^(d*sqrt(x) + c) - a^2*x), x) + log(x)/a","F",0
45,0,0,0,0.000000," ","integrate((a+b*csch(c+d*x^(1/2)))/x^2,x, algorithm=""maxima"")","b \int \frac{1}{x^{2} e^{\left(d \sqrt{x} + c\right)} + x^{2}}\,{d x} + b \int \frac{1}{x^{2} e^{\left(d \sqrt{x} + c\right)} - x^{2}}\,{d x} - \frac{a}{x}"," ",0,"b*integrate(1/(x^2*e^(d*sqrt(x) + c) + x^2), x) + b*integrate(1/(x^2*e^(d*sqrt(x) + c) - x^2), x) - a/x","F",0
46,0,0,0,0.000000," ","integrate(x^3/(a+b*csch(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{16 \, a b^{2} x^{\frac{7}{2}} - {\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} x^{4} e^{\left(2 \, d \sqrt{x}\right)} + {\left(a^{3} d + a b^{2} d\right)} x^{4} - 2 \, {\left(8 \, b^{3} x^{\frac{7}{2}} e^{c} + {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{4}\right)} e^{\left(d \sqrt{x}\right)}}{4 \, {\left(a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d \sqrt{x}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d \sqrt{x}\right)}\right)}} - \int \frac{2 \, {\left(7 \, a b^{2} x^{\frac{5}{2}} - {\left(7 \, b^{3} x^{\frac{5}{2}} e^{c} + {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{3}\right)} e^{\left(d \sqrt{x}\right)}\right)}}{a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d \sqrt{x}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d \sqrt{x}\right)}}\,{d x}"," ",0,"1/4*(16*a*b^2*x^(7/2) - (a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*x^4*e^(2*d*sqrt(x)) + (a^3*d + a*b^2*d)*x^4 - 2*(8*b^3*x^(7/2)*e^c + (a^2*b*d*e^c + b^3*d*e^c)*x^4)*e^(d*sqrt(x)))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*sqrt(x)) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*sqrt(x))) - integrate(2*(7*a*b^2*x^(5/2) - (7*b^3*x^(5/2)*e^c + (2*a^2*b*d*e^c + b^3*d*e^c)*x^3)*e^(d*sqrt(x)))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*sqrt(x)) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*sqrt(x))), x)","F",0
47,0,0,0,0.000000," ","integrate(x^2/(a+b*csch(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{12 \, a b^{2} x^{\frac{5}{2}} - {\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} x^{3} e^{\left(2 \, d \sqrt{x}\right)} + {\left(a^{3} d + a b^{2} d\right)} x^{3} - 2 \, {\left(6 \, b^{3} x^{\frac{5}{2}} e^{c} + {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{3}\right)} e^{\left(d \sqrt{x}\right)}}{3 \, {\left(a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d \sqrt{x}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d \sqrt{x}\right)}\right)}} - \int \frac{2 \, {\left(5 \, a b^{2} x^{\frac{3}{2}} - {\left(5 \, b^{3} x^{\frac{3}{2}} e^{c} + {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d \sqrt{x}\right)}\right)}}{a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d \sqrt{x}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d \sqrt{x}\right)}}\,{d x}"," ",0,"1/3*(12*a*b^2*x^(5/2) - (a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*x^3*e^(2*d*sqrt(x)) + (a^3*d + a*b^2*d)*x^3 - 2*(6*b^3*x^(5/2)*e^c + (a^2*b*d*e^c + b^3*d*e^c)*x^3)*e^(d*sqrt(x)))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*sqrt(x)) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*sqrt(x))) - integrate(2*(5*a*b^2*x^(3/2) - (5*b^3*x^(3/2)*e^c + (2*a^2*b*d*e^c + b^3*d*e^c)*x^2)*e^(d*sqrt(x)))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*sqrt(x)) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*sqrt(x))), x)","F",0
48,0,0,0,0.000000," ","integrate(x/(a+b*csch(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{8 \, a b^{2} x^{\frac{3}{2}} - {\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d \sqrt{x}\right)} + {\left(a^{3} d + a b^{2} d\right)} x^{2} - 2 \, {\left(4 \, b^{3} x^{\frac{3}{2}} e^{c} + {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{2}\right)} e^{\left(d \sqrt{x}\right)}}{2 \, {\left(a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d \sqrt{x}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d \sqrt{x}\right)}\right)}} - \int \frac{2 \, {\left(3 \, a b^{2} \sqrt{x} - {\left(3 \, b^{3} \sqrt{x} e^{c} + {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x\right)} e^{\left(d \sqrt{x}\right)}\right)}}{a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d \sqrt{x}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d \sqrt{x}\right)}}\,{d x}"," ",0,"1/2*(8*a*b^2*x^(3/2) - (a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*x^2*e^(2*d*sqrt(x)) + (a^3*d + a*b^2*d)*x^2 - 2*(4*b^3*x^(3/2)*e^c + (a^2*b*d*e^c + b^3*d*e^c)*x^2)*e^(d*sqrt(x)))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*sqrt(x)) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*sqrt(x))) - integrate(2*(3*a*b^2*sqrt(x) - (3*b^3*sqrt(x)*e^c + (2*a^2*b*d*e^c + b^3*d*e^c)*x)*e^(d*sqrt(x)))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*sqrt(x)) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*sqrt(x))), x)","F",0
49,0,0,0,0.000000," ","integrate(1/x/(a+b*csch(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{4 \, {\left(b^{3} \sqrt{x} e^{\left(d \sqrt{x} + c\right)} - a b^{2} \sqrt{x}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x e^{\left(d \sqrt{x}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x} + \frac{\log\left(x\right)}{a^{2}} + \int -\frac{2 \, {\left(a b^{2} \sqrt{x} - {\left(b^{3} \sqrt{x} e^{c} - {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x\right)} e^{\left(d \sqrt{x}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x^{2} e^{\left(d \sqrt{x}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x^{2}}\,{d x}"," ",0,"4*(b^3*sqrt(x)*e^(d*sqrt(x) + c) - a*b^2*sqrt(x))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x*e^(d*sqrt(x)) - (a^5*d + a^3*b^2*d)*x) + log(x)/a^2 + integrate(-2*(a*b^2*sqrt(x) - (b^3*sqrt(x)*e^c - (2*a^2*b*d*e^c + b^3*d*e^c)*x)*e^(d*sqrt(x)))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x^2*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x^2*e^(d*sqrt(x)) - (a^5*d + a^3*b^2*d)*x^2), x)","F",0
50,0,0,0,0.000000," ","integrate(1/x^2/(a+b*csch(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","-\frac{4 \, a b^{2} \sqrt{x} + {\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d \sqrt{x}\right)} - {\left(a^{3} d + a b^{2} d\right)} x - 2 \, {\left(2 \, b^{3} \sqrt{x} e^{c} - {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} x\right)} e^{\left(d \sqrt{x}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x^{2} e^{\left(d \sqrt{x}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x^{2}} + \int -\frac{2 \, {\left(3 \, a b^{2} \sqrt{x} - {\left(3 \, b^{3} \sqrt{x} e^{c} - {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x\right)} e^{\left(d \sqrt{x}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{3} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x^{3} e^{\left(d \sqrt{x}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x^{3}}\,{d x}"," ",0,"-(4*a*b^2*sqrt(x) + (a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*x*e^(2*d*sqrt(x)) - (a^3*d + a*b^2*d)*x - 2*(2*b^3*sqrt(x)*e^c - (a^2*b*d*e^c + b^3*d*e^c)*x)*e^(d*sqrt(x)))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x^2*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x^2*e^(d*sqrt(x)) - (a^5*d + a^3*b^2*d)*x^2) + integrate(-2*(3*a*b^2*sqrt(x) - (3*b^3*sqrt(x)*e^c - (2*a^2*b*d*e^c + b^3*d*e^c)*x)*e^(d*sqrt(x)))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x^3*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x^3*e^(d*sqrt(x)) - (a^5*d + a^3*b^2*d)*x^3), x)","F",0
51,1,217,0,1.558909," ","integrate(x^(3/2)*(a+b*csch(c+d*x^(1/2))),x, algorithm=""maxima"")","\frac{2}{5} \, a x^{\frac{5}{2}} - \frac{2 \, {\left(\log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{4} + 4 \, {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{3} - 12 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{2} {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)}) + 24 \, \log\left(e^{\left(d \sqrt{x}\right)}\right) {\rm Li}_{4}(-e^{\left(d \sqrt{x} + c\right)}) - 24 \, {\rm Li}_{5}(-e^{\left(d \sqrt{x} + c\right)})\right)} b}{d^{5}} + \frac{2 \, {\left(\log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{4} + 4 \, {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{3} - 12 \, \log\left(e^{\left(d \sqrt{x}\right)}\right)^{2} {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)}) + 24 \, \log\left(e^{\left(d \sqrt{x}\right)}\right) {\rm Li}_{4}(e^{\left(d \sqrt{x} + c\right)}) - 24 \, {\rm Li}_{5}(e^{\left(d \sqrt{x} + c\right)})\right)} b}{d^{5}}"," ",0,"2/5*a*x^(5/2) - 2*(log(e^(d*sqrt(x) + c) + 1)*log(e^(d*sqrt(x)))^4 + 4*dilog(-e^(d*sqrt(x) + c))*log(e^(d*sqrt(x)))^3 - 12*log(e^(d*sqrt(x)))^2*polylog(3, -e^(d*sqrt(x) + c)) + 24*log(e^(d*sqrt(x)))*polylog(4, -e^(d*sqrt(x) + c)) - 24*polylog(5, -e^(d*sqrt(x) + c)))*b/d^5 + 2*(log(-e^(d*sqrt(x) + c) + 1)*log(e^(d*sqrt(x)))^4 + 4*dilog(e^(d*sqrt(x) + c))*log(e^(d*sqrt(x)))^3 - 12*log(e^(d*sqrt(x)))^2*polylog(3, e^(d*sqrt(x) + c)) + 24*log(e^(d*sqrt(x)))*polylog(4, e^(d*sqrt(x) + c)) - 24*polylog(5, e^(d*sqrt(x) + c)))*b/d^5","A",0
52,1,129,0,1.635816," ","integrate((a+b*csch(c+d*x^(1/2)))*x^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, a x^{\frac{3}{2}} - \frac{2 \, {\left(\log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{2} + 2 \, {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) \log\left(e^{\left(d \sqrt{x}\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)})\right)} b}{d^{3}} + \frac{2 \, {\left(\log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) \log\left(e^{\left(d \sqrt{x}\right)}\right)^{2} + 2 \, {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) \log\left(e^{\left(d \sqrt{x}\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)})\right)} b}{d^{3}}"," ",0,"2/3*a*x^(3/2) - 2*(log(e^(d*sqrt(x) + c) + 1)*log(e^(d*sqrt(x)))^2 + 2*dilog(-e^(d*sqrt(x) + c))*log(e^(d*sqrt(x))) - 2*polylog(3, -e^(d*sqrt(x) + c)))*b/d^3 + 2*(log(-e^(d*sqrt(x) + c) + 1)*log(e^(d*sqrt(x)))^2 + 2*dilog(e^(d*sqrt(x) + c))*log(e^(d*sqrt(x))) - 2*polylog(3, e^(d*sqrt(x) + c)))*b/d^3","A",0
53,1,25,0,0.414766," ","integrate((a+b*csch(c+d*x^(1/2)))/x^(1/2),x, algorithm=""maxima"")","2 \, a \sqrt{x} + \frac{2 \, b \log\left(\tanh\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right)\right)}{d}"," ",0,"2*a*sqrt(x) + 2*b*log(tanh(1/2*d*sqrt(x) + 1/2*c))/d","A",0
54,0,0,0,0.000000," ","integrate((a+b*csch(c+d*x^(1/2)))/x^(3/2),x, algorithm=""maxima"")","b \int \frac{1}{x^{\frac{3}{2}} e^{\left(d \sqrt{x} + c\right)} + x^{\frac{3}{2}}}\,{d x} + b \int \frac{1}{x^{\frac{3}{2}} e^{\left(d \sqrt{x} + c\right)} - x^{\frac{3}{2}}}\,{d x} - \frac{2 \, a}{\sqrt{x}}"," ",0,"b*integrate(1/(x^(3/2)*e^(d*sqrt(x) + c) + x^(3/2)), x) + b*integrate(1/(x^(3/2)*e^(d*sqrt(x) + c) - x^(3/2)), x) - 2*a/sqrt(x)","F",0
55,0,0,0,0.000000," ","integrate((a+b*csch(c+d*x^(1/2)))/x^(5/2),x, algorithm=""maxima"")","b \int \frac{1}{x^{\frac{5}{2}} e^{\left(d \sqrt{x} + c\right)} + x^{\frac{5}{2}}}\,{d x} + b \int \frac{1}{x^{\frac{5}{2}} e^{\left(d \sqrt{x} + c\right)} - x^{\frac{5}{2}}}\,{d x} - \frac{2 \, a}{3 \, x^{\frac{3}{2}}}"," ",0,"b*integrate(1/(x^(5/2)*e^(d*sqrt(x) + c) + x^(5/2)), x) + b*integrate(1/(x^(5/2)*e^(d*sqrt(x) + c) - x^(5/2)), x) - 2/3*a/x^(3/2)","F",0
56,1,422,0,2.481359," ","integrate(x^(3/2)*(a+b*csch(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{2}{5} \, a^{2} x^{\frac{5}{2}} - \frac{4 \, b^{2} x^{2}}{d e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} - d} - \frac{4 \, {\left(d^{4} x^{2} \log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) + 4 \, d^{3} x^{\frac{3}{2}} {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) - 12 \, d^{2} x {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)}) + 24 \, d \sqrt{x} {\rm Li}_{4}(-e^{\left(d \sqrt{x} + c\right)}) - 24 \, {\rm Li}_{5}(-e^{\left(d \sqrt{x} + c\right)})\right)} a b}{d^{5}} + \frac{4 \, {\left(d^{4} x^{2} \log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) + 4 \, d^{3} x^{\frac{3}{2}} {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) - 12 \, d^{2} x {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)}) + 24 \, d \sqrt{x} {\rm Li}_{4}(e^{\left(d \sqrt{x} + c\right)}) - 24 \, {\rm Li}_{5}(e^{\left(d \sqrt{x} + c\right)})\right)} a b}{d^{5}} + \frac{8 \, {\left(d^{3} x^{\frac{3}{2}} \log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) + 3 \, d^{2} x {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) - 6 \, d \sqrt{x} {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)}) + 6 \, {\rm Li}_{4}(-e^{\left(d \sqrt{x} + c\right)})\right)} b^{2}}{d^{5}} + \frac{8 \, {\left(d^{3} x^{\frac{3}{2}} \log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) + 3 \, d^{2} x {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) - 6 \, d \sqrt{x} {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)}) + 6 \, {\rm Li}_{4}(e^{\left(d \sqrt{x} + c\right)})\right)} b^{2}}{d^{5}} - \frac{2 \, {\left(2 \, a b d^{5} x^{\frac{5}{2}} + 5 \, b^{2} d^{4} x^{2}\right)}}{5 \, d^{5}} + \frac{2 \, {\left(2 \, a b d^{5} x^{\frac{5}{2}} - 5 \, b^{2} d^{4} x^{2}\right)}}{5 \, d^{5}}"," ",0,"2/5*a^2*x^(5/2) - 4*b^2*x^2/(d*e^(2*d*sqrt(x) + 2*c) - d) - 4*(d^4*x^2*log(e^(d*sqrt(x) + c) + 1) + 4*d^3*x^(3/2)*dilog(-e^(d*sqrt(x) + c)) - 12*d^2*x*polylog(3, -e^(d*sqrt(x) + c)) + 24*d*sqrt(x)*polylog(4, -e^(d*sqrt(x) + c)) - 24*polylog(5, -e^(d*sqrt(x) + c)))*a*b/d^5 + 4*(d^4*x^2*log(-e^(d*sqrt(x) + c) + 1) + 4*d^3*x^(3/2)*dilog(e^(d*sqrt(x) + c)) - 12*d^2*x*polylog(3, e^(d*sqrt(x) + c)) + 24*d*sqrt(x)*polylog(4, e^(d*sqrt(x) + c)) - 24*polylog(5, e^(d*sqrt(x) + c)))*a*b/d^5 + 8*(d^3*x^(3/2)*log(e^(d*sqrt(x) + c) + 1) + 3*d^2*x*dilog(-e^(d*sqrt(x) + c)) - 6*d*sqrt(x)*polylog(3, -e^(d*sqrt(x) + c)) + 6*polylog(4, -e^(d*sqrt(x) + c)))*b^2/d^5 + 8*(d^3*x^(3/2)*log(-e^(d*sqrt(x) + c) + 1) + 3*d^2*x*dilog(e^(d*sqrt(x) + c)) - 6*d*sqrt(x)*polylog(3, e^(d*sqrt(x) + c)) + 6*polylog(4, e^(d*sqrt(x) + c)))*b^2/d^5 - 2/5*(2*a*b*d^5*x^(5/2) + 5*b^2*d^4*x^2)/d^5 + 2/5*(2*a*b*d^5*x^(5/2) - 5*b^2*d^4*x^2)/d^5","A",0
57,1,264,0,1.147255," ","integrate((a+b*csch(c+d*x^(1/2)))^2*x^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, a^{2} x^{\frac{3}{2}} - \frac{4 \, b^{2} x}{d e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} - d} - \frac{4 \, {\left(d^{2} x \log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) + 2 \, d \sqrt{x} {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(d \sqrt{x} + c\right)})\right)} a b}{d^{3}} + \frac{4 \, {\left(d^{2} x \log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) + 2 \, d \sqrt{x} {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right) - 2 \, {\rm Li}_{3}(e^{\left(d \sqrt{x} + c\right)})\right)} a b}{d^{3}} + \frac{4 \, {\left(d \sqrt{x} \log\left(e^{\left(d \sqrt{x} + c\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(d \sqrt{x} + c\right)}\right)\right)} b^{2}}{d^{3}} + \frac{4 \, {\left(d \sqrt{x} \log\left(-e^{\left(d \sqrt{x} + c\right)} + 1\right) + {\rm Li}_2\left(e^{\left(d \sqrt{x} + c\right)}\right)\right)} b^{2}}{d^{3}} - \frac{2 \, {\left(2 \, a b d^{3} x^{\frac{3}{2}} + 3 \, b^{2} d^{2} x\right)}}{3 \, d^{3}} + \frac{2 \, {\left(2 \, a b d^{3} x^{\frac{3}{2}} - 3 \, b^{2} d^{2} x\right)}}{3 \, d^{3}}"," ",0,"2/3*a^2*x^(3/2) - 4*b^2*x/(d*e^(2*d*sqrt(x) + 2*c) - d) - 4*(d^2*x*log(e^(d*sqrt(x) + c) + 1) + 2*d*sqrt(x)*dilog(-e^(d*sqrt(x) + c)) - 2*polylog(3, -e^(d*sqrt(x) + c)))*a*b/d^3 + 4*(d^2*x*log(-e^(d*sqrt(x) + c) + 1) + 2*d*sqrt(x)*dilog(e^(d*sqrt(x) + c)) - 2*polylog(3, e^(d*sqrt(x) + c)))*a*b/d^3 + 4*(d*sqrt(x)*log(e^(d*sqrt(x) + c) + 1) + dilog(-e^(d*sqrt(x) + c)))*b^2/d^3 + 4*(d*sqrt(x)*log(-e^(d*sqrt(x) + c) + 1) + dilog(e^(d*sqrt(x) + c)))*b^2/d^3 - 2/3*(2*a*b*d^3*x^(3/2) + 3*b^2*d^2*x)/d^3 + 2/3*(2*a*b*d^3*x^(3/2) - 3*b^2*d^2*x)/d^3","A",0
58,1,51,0,0.458373," ","integrate((a+b*csch(c+d*x^(1/2)))^2/x^(1/2),x, algorithm=""maxima"")","2 \, a^{2} \sqrt{x} + \frac{4 \, a b \log\left(\tanh\left(\frac{1}{2} \, d \sqrt{x} + \frac{1}{2} \, c\right)\right)}{d} + \frac{4 \, b^{2}}{d {\left(e^{\left(-2 \, d \sqrt{x} - 2 \, c\right)} - 1\right)}}"," ",0,"2*a^2*sqrt(x) + 4*a*b*log(tanh(1/2*d*sqrt(x) + 1/2*c))/d + 4*b^2/(d*(e^(-2*d*sqrt(x) - 2*c) - 1))","A",0
59,0,0,0,0.000000," ","integrate((a+b*csch(c+d*x^(1/2)))^2/x^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(a^{2} d \sqrt{x} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} - a^{2} d \sqrt{x} + 2 \, b^{2}\right)}}{d x e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} - d x} + \int \frac{2 \, {\left(a b d x + b^{2} \sqrt{x}\right)}}{d x^{\frac{5}{2}} e^{\left(d \sqrt{x} + c\right)} + d x^{\frac{5}{2}}}\,{d x} - \int -\frac{2 \, {\left(a b d x - b^{2} \sqrt{x}\right)}}{d x^{\frac{5}{2}} e^{\left(d \sqrt{x} + c\right)} - d x^{\frac{5}{2}}}\,{d x}"," ",0,"-2*(a^2*d*sqrt(x)*e^(2*d*sqrt(x) + 2*c) - a^2*d*sqrt(x) + 2*b^2)/(d*x*e^(2*d*sqrt(x) + 2*c) - d*x) + integrate(2*(a*b*d*x + b^2*sqrt(x))/(d*x^(5/2)*e^(d*sqrt(x) + c) + d*x^(5/2)), x) - integrate(-2*(a*b*d*x - b^2*sqrt(x))/(d*x^(5/2)*e^(d*sqrt(x) + c) - d*x^(5/2)), x)","F",0
60,-1,0,0,0.000000," ","integrate((a+b*csch(c+d*x^(1/2)))^2/x^(5/2),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
61,0,0,0,0.000000," ","integrate(x^(3/2)/(a+b*csch(c+d*x^(1/2))),x, algorithm=""maxima"")","-2 \, b \int \frac{x^{\frac{3}{2}} e^{\left(d \sqrt{x} + c\right)}}{a^{2} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 2 \, a b e^{\left(d \sqrt{x} + c\right)} - a^{2}}\,{d x} + \frac{2 \, x^{\frac{5}{2}}}{5 \, a}"," ",0,"-2*b*integrate(x^(3/2)*e^(d*sqrt(x) + c)/(a^2*e^(2*d*sqrt(x) + 2*c) + 2*a*b*e^(d*sqrt(x) + c) - a^2), x) + 2/5*x^(5/2)/a","F",0
62,0,0,0,0.000000," ","integrate(x^(1/2)/(a+b*csch(c+d*x^(1/2))),x, algorithm=""maxima"")","-2 \, b \int \frac{\sqrt{x} e^{\left(d \sqrt{x} + c\right)}}{a^{2} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 2 \, a b e^{\left(d \sqrt{x} + c\right)} - a^{2}}\,{d x} + \frac{2 \, x^{\frac{3}{2}}}{3 \, a}"," ",0,"-2*b*integrate(sqrt(x)*e^(d*sqrt(x) + c)/(a^2*e^(2*d*sqrt(x) + 2*c) + 2*a*b*e^(d*sqrt(x) + c) - a^2), x) + 2/3*x^(3/2)/a","F",0
63,1,92,0,0.532968," ","integrate(1/(a+b*csch(c+d*x^(1/2)))/x^(1/2),x, algorithm=""maxima"")","-\frac{2 \, b \log\left(\frac{a e^{\left(-d \sqrt{x} - c\right)} - b - \sqrt{a^{2} + b^{2}}}{a e^{\left(-d \sqrt{x} - c\right)} - b + \sqrt{a^{2} + b^{2}}}\right)}{\sqrt{a^{2} + b^{2}} a d} + \frac{2 \, {\left(d \sqrt{x} + c\right)}}{a d}"," ",0,"-2*b*log((a*e^(-d*sqrt(x) - c) - b - sqrt(a^2 + b^2))/(a*e^(-d*sqrt(x) - c) - b + sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*a*d) + 2*(d*sqrt(x) + c)/(a*d)","A",0
64,0,0,0,0.000000," ","integrate(1/x^(3/2)/(a+b*csch(c+d*x^(1/2))),x, algorithm=""maxima"")","-2 \, b \int \frac{e^{\left(d \sqrt{x} + c\right)}}{a^{2} x^{\frac{3}{2}} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 2 \, a b x^{\frac{3}{2}} e^{\left(d \sqrt{x} + c\right)} - a^{2} x^{\frac{3}{2}}}\,{d x} - \frac{2}{a \sqrt{x}}"," ",0,"-2*b*integrate(e^(d*sqrt(x) + c)/(a^2*x^(3/2)*e^(2*d*sqrt(x) + 2*c) + 2*a*b*x^(3/2)*e^(d*sqrt(x) + c) - a^2*x^(3/2)), x) - 2/(a*sqrt(x))","F",0
65,0,0,0,0.000000," ","integrate(1/x^(5/2)/(a+b*csch(c+d*x^(1/2))),x, algorithm=""maxima"")","-2 \, b \int \frac{e^{\left(d \sqrt{x} + c\right)}}{a^{2} x^{\frac{5}{2}} e^{\left(2 \, d \sqrt{x} + 2 \, c\right)} + 2 \, a b x^{\frac{5}{2}} e^{\left(d \sqrt{x} + c\right)} - a^{2} x^{\frac{5}{2}}}\,{d x} - \frac{2}{3 \, a x^{\frac{3}{2}}}"," ",0,"-2*b*integrate(e^(d*sqrt(x) + c)/(a^2*x^(5/2)*e^(2*d*sqrt(x) + 2*c) + 2*a*b*x^(5/2)*e^(d*sqrt(x) + c) - a^2*x^(5/2)), x) - 2/3/(a*x^(3/2))","F",0
66,0,0,0,0.000000," ","integrate(x^(3/2)/(a+b*csch(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{2 \, {\left(10 \, a b^{2} x^{2} - {\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} x^{\frac{5}{2}} e^{\left(2 \, d \sqrt{x}\right)} + {\left(a^{3} d + a b^{2} d\right)} x^{\frac{5}{2}} - 2 \, {\left(5 \, b^{3} x^{2} e^{c} + {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{\frac{5}{2}}\right)} e^{\left(d \sqrt{x}\right)}\right)}}{5 \, {\left(a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d \sqrt{x}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d \sqrt{x}\right)}\right)}} - \int -\frac{2 \, {\left(4 \, a b^{2} x^{2} - {\left(4 \, b^{3} x^{2} e^{c} + {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{\frac{5}{2}}\right)} e^{\left(d \sqrt{x}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x e^{\left(d \sqrt{x}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x}\,{d x}"," ",0,"2/5*(10*a*b^2*x^2 - (a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*x^(5/2)*e^(2*d*sqrt(x)) + (a^3*d + a*b^2*d)*x^(5/2) - 2*(5*b^3*x^2*e^c + (a^2*b*d*e^c + b^3*d*e^c)*x^(5/2))*e^(d*sqrt(x)))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*sqrt(x)) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*sqrt(x))) - integrate(-2*(4*a*b^2*x^2 - (4*b^3*x^2*e^c + (2*a^2*b*d*e^c + b^3*d*e^c)*x^(5/2))*e^(d*sqrt(x)))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x*e^(d*sqrt(x)) - (a^5*d + a^3*b^2*d)*x), x)","F",0
67,0,0,0,0.000000," ","integrate(x^(1/2)/(a+b*csch(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","\frac{2 \, {\left(6 \, a b^{2} x - {\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} x^{\frac{3}{2}} e^{\left(2 \, d \sqrt{x}\right)} + {\left(a^{3} d + a b^{2} d\right)} x^{\frac{3}{2}} - 2 \, {\left(3 \, b^{3} x e^{c} + {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{\frac{3}{2}}\right)} e^{\left(d \sqrt{x}\right)}\right)}}{3 \, {\left(a^{5} d + a^{3} b^{2} d - {\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d \sqrt{x}\right)} - 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} e^{\left(d \sqrt{x}\right)}\right)}} - \int -\frac{2 \, {\left(2 \, a b^{2} x - {\left(2 \, b^{3} x e^{c} + {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x^{\frac{3}{2}}\right)} e^{\left(d \sqrt{x}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x e^{\left(d \sqrt{x}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x}\,{d x}"," ",0,"2/3*(6*a*b^2*x - (a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*x^(3/2)*e^(2*d*sqrt(x)) + (a^3*d + a*b^2*d)*x^(3/2) - 2*(3*b^3*x*e^c + (a^2*b*d*e^c + b^3*d*e^c)*x^(3/2))*e^(d*sqrt(x)))/(a^5*d + a^3*b^2*d - (a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*e^(2*d*sqrt(x)) - 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*e^(d*sqrt(x))) - integrate(-2*(2*a*b^2*x - (2*b^3*x*e^c + (2*a^2*b*d*e^c + b^3*d*e^c)*x^(3/2))*e^(d*sqrt(x)))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x*e^(d*sqrt(x)) - (a^5*d + a^3*b^2*d)*x), x)","F",0
68,1,200,0,0.565872," ","integrate(1/(a+b*csch(c+d*x^(1/2)))^2/x^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(2 \, a^{2} b + b^{3}\right)} \log\left(\frac{a e^{\left(-d \sqrt{x} - c\right)} - b - \sqrt{a^{2} + b^{2}}}{a e^{\left(-d \sqrt{x} - c\right)} - b + \sqrt{a^{2} + b^{2}}}\right)}{{\left(a^{4} + a^{2} b^{2}\right)} \sqrt{a^{2} + b^{2}} d} - \frac{4 \, {\left(b^{3} e^{\left(-d \sqrt{x} - c\right)} + a b^{2}\right)}}{{\left(a^{5} + a^{3} b^{2} + 2 \, {\left(a^{4} b + a^{2} b^{3}\right)} e^{\left(-d \sqrt{x} - c\right)} - {\left(a^{5} + a^{3} b^{2}\right)} e^{\left(-2 \, d \sqrt{x} - 2 \, c\right)}\right)} d} + \frac{2 \, {\left(d \sqrt{x} + c\right)}}{a^{2} d}"," ",0,"-2*(2*a^2*b + b^3)*log((a*e^(-d*sqrt(x) - c) - b - sqrt(a^2 + b^2))/(a*e^(-d*sqrt(x) - c) - b + sqrt(a^2 + b^2)))/((a^4 + a^2*b^2)*sqrt(a^2 + b^2)*d) - 4*(b^3*e^(-d*sqrt(x) - c) + a*b^2)/((a^5 + a^3*b^2 + 2*(a^4*b + a^2*b^3)*e^(-d*sqrt(x) - c) - (a^5 + a^3*b^2)*e^(-2*d*sqrt(x) - 2*c))*d) + 2*(d*sqrt(x) + c)/(a^2*d)","A",0
69,0,0,0,0.000000," ","integrate(1/x^(3/2)/(a+b*csch(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(2 \, a b^{2} + {\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} \sqrt{x} e^{\left(2 \, d \sqrt{x}\right)} - 2 \, {\left(b^{3} e^{c} - {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} \sqrt{x}\right)} e^{\left(d \sqrt{x}\right)} - {\left(a^{3} d + a b^{2} d\right)} \sqrt{x}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x e^{\left(d \sqrt{x}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x} + \int -\frac{2 \, {\left(2 \, a b^{2} \sqrt{x} - {\left(2 \, b^{3} \sqrt{x} e^{c} - {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x\right)} e^{\left(d \sqrt{x}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{\frac{5}{2}} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x^{\frac{5}{2}} e^{\left(d \sqrt{x}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x^{\frac{5}{2}}}\,{d x}"," ",0,"-2*(2*a*b^2 + (a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*sqrt(x)*e^(2*d*sqrt(x)) - 2*(b^3*e^c - (a^2*b*d*e^c + b^3*d*e^c)*sqrt(x))*e^(d*sqrt(x)) - (a^3*d + a*b^2*d)*sqrt(x))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x*e^(d*sqrt(x)) - (a^5*d + a^3*b^2*d)*x) + integrate(-2*(2*a*b^2*sqrt(x) - (2*b^3*sqrt(x)*e^c - (2*a^2*b*d*e^c + b^3*d*e^c)*x)*e^(d*sqrt(x)))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x^(5/2)*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x^(5/2)*e^(d*sqrt(x)) - (a^5*d + a^3*b^2*d)*x^(5/2)), x)","F",0
70,0,0,0,0.000000," ","integrate(1/x^(5/2)/(a+b*csch(c+d*x^(1/2)))^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(6 \, a b^{2} + {\left(a^{3} d e^{\left(2 \, c\right)} + a b^{2} d e^{\left(2 \, c\right)}\right)} \sqrt{x} e^{\left(2 \, d \sqrt{x}\right)} - 2 \, {\left(3 \, b^{3} e^{c} - {\left(a^{2} b d e^{c} + b^{3} d e^{c}\right)} \sqrt{x}\right)} e^{\left(d \sqrt{x}\right)} - {\left(a^{3} d + a b^{2} d\right)} \sqrt{x}\right)}}{3 \, {\left({\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{2} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x^{2} e^{\left(d \sqrt{x}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x^{2}\right)}} + \int -\frac{2 \, {\left(4 \, a b^{2} \sqrt{x} - {\left(4 \, b^{3} \sqrt{x} e^{c} - {\left(2 \, a^{2} b d e^{c} + b^{3} d e^{c}\right)} x\right)} e^{\left(d \sqrt{x}\right)}\right)}}{{\left(a^{5} d e^{\left(2 \, c\right)} + a^{3} b^{2} d e^{\left(2 \, c\right)}\right)} x^{\frac{7}{2}} e^{\left(2 \, d \sqrt{x}\right)} + 2 \, {\left(a^{4} b d e^{c} + a^{2} b^{3} d e^{c}\right)} x^{\frac{7}{2}} e^{\left(d \sqrt{x}\right)} - {\left(a^{5} d + a^{3} b^{2} d\right)} x^{\frac{7}{2}}}\,{d x}"," ",0,"-2/3*(6*a*b^2 + (a^3*d*e^(2*c) + a*b^2*d*e^(2*c))*sqrt(x)*e^(2*d*sqrt(x)) - 2*(3*b^3*e^c - (a^2*b*d*e^c + b^3*d*e^c)*sqrt(x))*e^(d*sqrt(x)) - (a^3*d + a*b^2*d)*sqrt(x))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x^2*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x^2*e^(d*sqrt(x)) - (a^5*d + a^3*b^2*d)*x^2) + integrate(-2*(4*a*b^2*sqrt(x) - (4*b^3*sqrt(x)*e^c - (2*a^2*b*d*e^c + b^3*d*e^c)*x)*e^(d*sqrt(x)))/((a^5*d*e^(2*c) + a^3*b^2*d*e^(2*c))*x^(7/2)*e^(2*d*sqrt(x)) + 2*(a^4*b*d*e^c + a^2*b^3*d*e^c)*x^(7/2)*e^(d*sqrt(x)) - (a^5*d + a^3*b^2*d)*x^(7/2)), x)","F",0
71,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*csch(c+d*x^n))^p,x, algorithm=""maxima"")","\int \left(e x\right)^{m} {\left(b \operatorname{csch}\left(d x^{n} + c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x)^m*(b*csch(d*x^n + c) + a)^p, x)","F",0
72,1,75,0,0.491060," ","integrate((e*x)^(-1+n)*(a+b*csch(c+d*x^n)),x, algorithm=""maxima"")","-b {\left(\frac{e^{n - 1} \log\left({\left(e^{\left(d x^{n} + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{d n} - \frac{e^{n - 1} \log\left({\left(e^{\left(d x^{n} + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{d n}\right)} + \frac{\left(e x\right)^{n} a}{e n}"," ",0,"-b*(e^(n - 1)*log((e^(d*x^n + c) + 1)*e^(-c))/(d*n) - e^(n - 1)*log((e^(d*x^n + c) - 1)*e^(-c))/(d*n)) + (e*x)^n*a/(e*n)","A",0
73,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(a+b*csch(c+d*x^n)),x, algorithm=""maxima"")","2 \, b \int \frac{\left(e x\right)^{2 \, n - 1}}{e^{\left(d x^{n} + c\right)} - e^{\left(-d x^{n} - c\right)}}\,{d x} + \frac{\left(e x\right)^{2 \, n} a}{2 \, e n}"," ",0,"2*b*integrate((e*x)^(2*n - 1)/(e^(d*x^n + c) - e^(-d*x^n - c)), x) + 1/2*(e*x)^(2*n)*a/(e*n)","F",0
74,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)*(a+b*csch(c+d*x^n)),x, algorithm=""maxima"")","2 \, b \int \frac{\left(e x\right)^{3 \, n - 1}}{e^{\left(d x^{n} + c\right)} - e^{\left(-d x^{n} - c\right)}}\,{d x} + \frac{\left(e x\right)^{3 \, n} a}{3 \, e n}"," ",0,"2*b*integrate((e*x)^(3*n - 1)/(e^(d*x^n + c) - e^(-d*x^n - c)), x) + 1/3*(e*x)^(3*n)*a/(e*n)","F",0
75,1,109,0,0.370554," ","integrate((e*x)^(-1+n)*(a+b*csch(c+d*x^n))^2,x, algorithm=""maxima"")","-2 \, a b {\left(\frac{e^{n - 1} \log\left({\left(e^{\left(d x^{n} + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{d n} - \frac{e^{n - 1} \log\left({\left(e^{\left(d x^{n} + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{d n}\right)} - \frac{2 \, b^{2} e^{n}}{d e n e^{\left(2 \, d x^{n} + 2 \, c\right)} - d e n} + \frac{\left(e x\right)^{n} a^{2}}{e n}"," ",0,"-2*a*b*(e^(n - 1)*log((e^(d*x^n + c) + 1)*e^(-c))/(d*n) - e^(n - 1)*log((e^(d*x^n + c) - 1)*e^(-c))/(d*n)) - 2*b^2*e^n/(d*e*n*e^(2*d*x^n + 2*c) - d*e*n) + (e*x)^n*a^2/(e*n)","A",0
76,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)*(a+b*csch(c+d*x^n))^2,x, algorithm=""maxima"")","4 \, {\left(e^{2 \, n} \int \frac{x^{2 \, n}}{2 \, {\left(e x e^{\left(d x^{n} + c\right)} + e x\right)}}\,{d x} + e^{2 \, n} \int \frac{x^{2 \, n}}{2 \, {\left(e x e^{\left(d x^{n} + c\right)} - e x\right)}}\,{d x}\right)} a b - b^{2} {\left(\frac{2 \, e^{2 \, n} e^{\left(2 \, d x^{n} + n \log\left(x\right) + 2 \, c\right)}}{d e n e^{\left(2 \, d x^{n} + 2 \, c\right)} - d e n} - \frac{e^{2 \, n - 1} \log\left({\left(e^{\left(d x^{n} + c\right)} + 1\right)} e^{\left(-c\right)}\right)}{d^{2} n} - \frac{e^{2 \, n - 1} \log\left({\left(e^{\left(d x^{n} + c\right)} - 1\right)} e^{\left(-c\right)}\right)}{d^{2} n}\right)} + \frac{\left(e x\right)^{2 \, n} a^{2}}{2 \, e n}"," ",0,"4*(e^(2*n)*integrate(1/2*x^(2*n)/(e*x*e^(d*x^n + c) + e*x), x) + e^(2*n)*integrate(1/2*x^(2*n)/(e*x*e^(d*x^n + c) - e*x), x))*a*b - b^2*(2*e^(2*n)*e^(2*d*x^n + n*log(x) + 2*c)/(d*e*n*e^(2*d*x^n + 2*c) - d*e*n) - e^(2*n - 1)*log((e^(d*x^n + c) + 1)*e^(-c))/(d^2*n) - e^(2*n - 1)*log((e^(d*x^n + c) - 1)*e^(-c))/(d^2*n)) + 1/2*(e*x)^(2*n)*a^2/(e*n)","F",0
77,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)*(a+b*csch(c+d*x^n))^2,x, algorithm=""maxima"")","-\frac{2 \, b^{2} e^{3 \, n} x^{2 \, n}}{d e n e^{\left(2 \, d x^{n} + 2 \, c\right)} - d e n} + \frac{\left(e x\right)^{3 \, n} a^{2}}{3 \, e n} + \int \frac{2 \, {\left(a b d e^{3 \, n} x^{3 \, n} - b^{2} e^{3 \, n} x^{2 \, n}\right)}}{d e x e^{\left(d x^{n} + c\right)} + d e x}\,{d x} + \int \frac{2 \, {\left(a b d e^{3 \, n} x^{3 \, n} + b^{2} e^{3 \, n} x^{2 \, n}\right)}}{d e x e^{\left(d x^{n} + c\right)} - d e x}\,{d x}"," ",0,"-2*b^2*e^(3*n)*x^(2*n)/(d*e*n*e^(2*d*x^n + 2*c) - d*e*n) + 1/3*(e*x)^(3*n)*a^2/(e*n) + integrate(2*(a*b*d*e^(3*n)*x^(3*n) - b^2*e^(3*n)*x^(2*n))/(d*e*x*e^(d*x^n + c) + d*e*x), x) + integrate(2*(a*b*d*e^(3*n)*x^(3*n) + b^2*e^(3*n)*x^(2*n))/(d*e*x*e^(d*x^n + c) - d*e*x), x)","F",0
78,0,0,0,0.000000," ","integrate((e*x)^(-1+n)/(a+b*csch(c+d*x^n)),x, algorithm=""maxima"")","-2 \, b e^{n} \int \frac{e^{\left(d x^{n} + n \log\left(x\right) + c\right)}}{a^{2} e x e^{\left(2 \, d x^{n} + 2 \, c\right)} + 2 \, a b e x e^{\left(d x^{n} + c\right)} - a^{2} e x}\,{d x} + \frac{e^{n - 1} x^{n}}{a n}"," ",0,"-2*b*e^n*integrate(e^(d*x^n + n*log(x) + c)/(a^2*e*x*e^(2*d*x^n + 2*c) + 2*a*b*e*x*e^(d*x^n + c) - a^2*e*x), x) + e^(n - 1)*x^n/(a*n)","F",0
79,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)/(a+b*csch(c+d*x^n)),x, algorithm=""maxima"")","-2 \, b e^{2 \, n} \int \frac{e^{\left(d x^{n} + 2 \, n \log\left(x\right) + c\right)}}{a^{2} e x e^{\left(2 \, d x^{n} + 2 \, c\right)} + 2 \, a b e x e^{\left(d x^{n} + c\right)} - a^{2} e x}\,{d x} + \frac{e^{2 \, n - 1} x^{2 \, n}}{2 \, a n}"," ",0,"-2*b*e^(2*n)*integrate(e^(d*x^n + 2*n*log(x) + c)/(a^2*e*x*e^(2*d*x^n + 2*c) + 2*a*b*e*x*e^(d*x^n + c) - a^2*e*x), x) + 1/2*e^(2*n - 1)*x^(2*n)/(a*n)","F",0
80,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)/(a+b*csch(c+d*x^n)),x, algorithm=""maxima"")","-2 \, b e^{3 \, n} \int \frac{e^{\left(d x^{n} + 3 \, n \log\left(x\right) + c\right)}}{a^{2} e x e^{\left(2 \, d x^{n} + 2 \, c\right)} + 2 \, a b e x e^{\left(d x^{n} + c\right)} - a^{2} e x}\,{d x} + \frac{e^{3 \, n - 1} x^{3 \, n}}{3 \, a n}"," ",0,"-2*b*e^(3*n)*integrate(e^(d*x^n + 3*n*log(x) + c)/(a^2*e*x*e^(2*d*x^n + 2*c) + 2*a*b*e*x*e^(d*x^n + c) - a^2*e*x), x) + 1/3*e^(3*n - 1)*x^(3*n)/(a*n)","F",0
81,0,0,0,0.000000," ","integrate((e*x)^(-1+n)/(a+b*csch(c+d*x^n))^2,x, algorithm=""maxima"")","-2 \, {\left(2 \, a^{2} b e^{n} e^{c} + b^{3} e^{n} e^{c}\right)} \int \frac{e^{\left(d x^{n} + n \log\left(x\right)\right)}}{{\left(a^{5} e e^{\left(2 \, c\right)} + a^{3} b^{2} e e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d x^{n}\right)} + 2 \, {\left(a^{4} b e e^{c} + a^{2} b^{3} e e^{c}\right)} x e^{\left(d x^{n}\right)} - {\left(a^{5} e + a^{3} b^{2} e\right)} x}\,{d x} + \frac{2 \, a b^{2} e^{n} + {\left(a^{3} d e^{n} + a b^{2} d e^{n}\right)} x^{n} - {\left(a^{3} d e^{n} e^{\left(2 \, c\right)} + a b^{2} d e^{n} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{n} + n \log\left(x\right)\right)} - 2 \, {\left(b^{3} e^{n} e^{c} + {\left(a^{2} b d e^{n} e^{c} + b^{3} d e^{n} e^{c}\right)} x^{n}\right)} e^{\left(d x^{n}\right)}}{a^{5} d e n + a^{3} b^{2} d e n - {\left(a^{5} d e n e^{\left(2 \, c\right)} + a^{3} b^{2} d e n e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{n}\right)} - 2 \, {\left(a^{4} b d e n e^{c} + a^{2} b^{3} d e n e^{c}\right)} e^{\left(d x^{n}\right)}}"," ",0,"-2*(2*a^2*b*e^n*e^c + b^3*e^n*e^c)*integrate(e^(d*x^n + n*log(x))/((a^5*e*e^(2*c) + a^3*b^2*e*e^(2*c))*x*e^(2*d*x^n) + 2*(a^4*b*e*e^c + a^2*b^3*e*e^c)*x*e^(d*x^n) - (a^5*e + a^3*b^2*e)*x), x) + (2*a*b^2*e^n + (a^3*d*e^n + a*b^2*d*e^n)*x^n - (a^3*d*e^n*e^(2*c) + a*b^2*d*e^n*e^(2*c))*e^(2*d*x^n + n*log(x)) - 2*(b^3*e^n*e^c + (a^2*b*d*e^n*e^c + b^3*d*e^n*e^c)*x^n)*e^(d*x^n))/(a^5*d*e*n + a^3*b^2*d*e*n - (a^5*d*e*n*e^(2*c) + a^3*b^2*d*e*n*e^(2*c))*e^(2*d*x^n) - 2*(a^4*b*d*e*n*e^c + a^2*b^3*d*e*n*e^c)*e^(d*x^n))","F",0
82,0,0,0,0.000000," ","integrate((e*x)^(-1+2*n)/(a+b*csch(c+d*x^n))^2,x, algorithm=""maxima"")","\frac{4 \, a b^{2} e^{2 \, n} x^{n} + {\left(a^{3} d e^{2 \, n} + a b^{2} d e^{2 \, n}\right)} x^{2 \, n} - {\left(a^{3} d e^{2 \, n} e^{\left(2 \, c\right)} + a b^{2} d e^{2 \, n} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{n} + 2 \, n \log\left(x\right)\right)} - 2 \, {\left(2 \, b^{3} e^{2 \, n} e^{\left(n \log\left(x\right) + c\right)} + {\left(a^{2} b d e^{2 \, n} e^{c} + b^{3} d e^{2 \, n} e^{c}\right)} x^{2 \, n}\right)} e^{\left(d x^{n}\right)}}{2 \, {\left(a^{5} d e n + a^{3} b^{2} d e n - {\left(a^{5} d e n e^{\left(2 \, c\right)} + a^{3} b^{2} d e n e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{n}\right)} - 2 \, {\left(a^{4} b d e n e^{c} + a^{2} b^{3} d e n e^{c}\right)} e^{\left(d x^{n}\right)}\right)}} - \int -\frac{2 \, {\left(a b^{2} e^{2 \, n} x^{n} - {\left(b^{3} e^{2 \, n} e^{\left(n \log\left(x\right) + c\right)} + {\left(2 \, a^{2} b d e^{2 \, n} e^{c} + b^{3} d e^{2 \, n} e^{c}\right)} x^{2 \, n}\right)} e^{\left(d x^{n}\right)}\right)}}{{\left(a^{5} d e e^{\left(2 \, c\right)} + a^{3} b^{2} d e e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d x^{n}\right)} + 2 \, {\left(a^{4} b d e e^{c} + a^{2} b^{3} d e e^{c}\right)} x e^{\left(d x^{n}\right)} - {\left(a^{5} d e + a^{3} b^{2} d e\right)} x}\,{d x}"," ",0,"1/2*(4*a*b^2*e^(2*n)*x^n + (a^3*d*e^(2*n) + a*b^2*d*e^(2*n))*x^(2*n) - (a^3*d*e^(2*n)*e^(2*c) + a*b^2*d*e^(2*n)*e^(2*c))*e^(2*d*x^n + 2*n*log(x)) - 2*(2*b^3*e^(2*n)*e^(n*log(x) + c) + (a^2*b*d*e^(2*n)*e^c + b^3*d*e^(2*n)*e^c)*x^(2*n))*e^(d*x^n))/(a^5*d*e*n + a^3*b^2*d*e*n - (a^5*d*e*n*e^(2*c) + a^3*b^2*d*e*n*e^(2*c))*e^(2*d*x^n) - 2*(a^4*b*d*e*n*e^c + a^2*b^3*d*e*n*e^c)*e^(d*x^n)) - integrate(-2*(a*b^2*e^(2*n)*x^n - (b^3*e^(2*n)*e^(n*log(x) + c) + (2*a^2*b*d*e^(2*n)*e^c + b^3*d*e^(2*n)*e^c)*x^(2*n))*e^(d*x^n))/((a^5*d*e*e^(2*c) + a^3*b^2*d*e*e^(2*c))*x*e^(2*d*x^n) + 2*(a^4*b*d*e*e^c + a^2*b^3*d*e*e^c)*x*e^(d*x^n) - (a^5*d*e + a^3*b^2*d*e)*x), x)","F",0
83,0,0,0,0.000000," ","integrate((e*x)^(-1+3*n)/(a+b*csch(c+d*x^n))^2,x, algorithm=""maxima"")","\frac{6 \, a b^{2} e^{3 \, n} x^{2 \, n} + {\left(a^{3} d e^{3 \, n} + a b^{2} d e^{3 \, n}\right)} x^{3 \, n} - {\left(a^{3} d e^{3 \, n} e^{\left(2 \, c\right)} + a b^{2} d e^{3 \, n} e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{n} + 3 \, n \log\left(x\right)\right)} - 2 \, {\left(3 \, b^{3} e^{3 \, n} e^{\left(2 \, n \log\left(x\right) + c\right)} + {\left(a^{2} b d e^{3 \, n} e^{c} + b^{3} d e^{3 \, n} e^{c}\right)} x^{3 \, n}\right)} e^{\left(d x^{n}\right)}}{3 \, {\left(a^{5} d e n + a^{3} b^{2} d e n - {\left(a^{5} d e n e^{\left(2 \, c\right)} + a^{3} b^{2} d e n e^{\left(2 \, c\right)}\right)} e^{\left(2 \, d x^{n}\right)} - 2 \, {\left(a^{4} b d e n e^{c} + a^{2} b^{3} d e n e^{c}\right)} e^{\left(d x^{n}\right)}\right)}} - \int -\frac{2 \, {\left(2 \, a b^{2} e^{3 \, n} x^{2 \, n} - {\left(2 \, b^{3} e^{3 \, n} e^{\left(2 \, n \log\left(x\right) + c\right)} + {\left(2 \, a^{2} b d e^{3 \, n} e^{c} + b^{3} d e^{3 \, n} e^{c}\right)} x^{3 \, n}\right)} e^{\left(d x^{n}\right)}\right)}}{{\left(a^{5} d e e^{\left(2 \, c\right)} + a^{3} b^{2} d e e^{\left(2 \, c\right)}\right)} x e^{\left(2 \, d x^{n}\right)} + 2 \, {\left(a^{4} b d e e^{c} + a^{2} b^{3} d e e^{c}\right)} x e^{\left(d x^{n}\right)} - {\left(a^{5} d e + a^{3} b^{2} d e\right)} x}\,{d x}"," ",0,"1/3*(6*a*b^2*e^(3*n)*x^(2*n) + (a^3*d*e^(3*n) + a*b^2*d*e^(3*n))*x^(3*n) - (a^3*d*e^(3*n)*e^(2*c) + a*b^2*d*e^(3*n)*e^(2*c))*e^(2*d*x^n + 3*n*log(x)) - 2*(3*b^3*e^(3*n)*e^(2*n*log(x) + c) + (a^2*b*d*e^(3*n)*e^c + b^3*d*e^(3*n)*e^c)*x^(3*n))*e^(d*x^n))/(a^5*d*e*n + a^3*b^2*d*e*n - (a^5*d*e*n*e^(2*c) + a^3*b^2*d*e*n*e^(2*c))*e^(2*d*x^n) - 2*(a^4*b*d*e*n*e^c + a^2*b^3*d*e*n*e^c)*e^(d*x^n)) - integrate(-2*(2*a*b^2*e^(3*n)*x^(2*n) - (2*b^3*e^(3*n)*e^(2*n*log(x) + c) + (2*a^2*b*d*e^(3*n)*e^c + b^3*d*e^(3*n)*e^c)*x^(3*n))*e^(d*x^n))/((a^5*d*e*e^(2*c) + a^3*b^2*d*e*e^(2*c))*x*e^(2*d*x^n) + 2*(a^4*b*d*e*e^c + a^2*b^3*d*e*e^c)*x*e^(d*x^n) - (a^5*d*e + a^3*b^2*d*e)*x), x)","F",0
