1,1,94,0,0.977511," ","integrate(x^3/(a+b*exp(d*x+c)),x, algorithm=""maxima"")","\frac{x^{4}}{4 \, a} - \frac{d^{3} x^{3} \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right) - 6 \, d x {\rm Li}_{3}(-\frac{b e^{\left(d x + c\right)}}{a}) + 6 \, {\rm Li}_{4}(-\frac{b e^{\left(d x + c\right)}}{a})}{a d^{4}}"," ",0,"1/4*x^4/a - (d^3*x^3*log(b*e^(d*x + c)/a + 1) + 3*d^2*x^2*dilog(-b*e^(d*x + c)/a) - 6*d*x*polylog(3, -b*e^(d*x + c)/a) + 6*polylog(4, -b*e^(d*x + c)/a))/(a*d^4)","A",0
2,1,72,0,0.968079," ","integrate(x^2/(a+b*exp(d*x+c)),x, algorithm=""maxima"")","\frac{x^{3}}{3 \, a} - \frac{d^{2} x^{2} \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + 2 \, d x {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right) - 2 \, {\rm Li}_{3}(-\frac{b e^{\left(d x + c\right)}}{a})}{a d^{3}}"," ",0,"1/3*x^3/a - (d^2*x^2*log(b*e^(d*x + c)/a + 1) + 2*d*x*dilog(-b*e^(d*x + c)/a) - 2*polylog(3, -b*e^(d*x + c)/a))/(a*d^3)","A",0
3,1,48,0,0.969470," ","integrate(x/(a+b*exp(d*x+c)),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, a} - \frac{d x \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right)}{a d^{2}}"," ",0,"1/2*x^2/a - (d*x*log(b*e^(d*x + c)/a + 1) + dilog(-b*e^(d*x + c)/a))/(a*d^2)","A",0
4,1,32,0,0.902965," ","integrate(1/(a+b*exp(d*x+c)),x, algorithm=""maxima"")","\frac{d x + c}{a d} - \frac{\log\left(b e^{\left(d x + c\right)} + a\right)}{a d}"," ",0,"(d*x + c)/(a*d) - log(b*e^(d*x + c) + a)/(a*d)","A",0
5,0,0,0,0.000000," ","integrate(1/(a+b*exp(d*x+c))/x,x, algorithm=""maxima"")","\int \frac{1}{{\left(b e^{\left(d x + c\right)} + a\right)} x}\,{d x}"," ",0,"integrate(1/((b*e^(d*x + c) + a)*x), x)","F",0
6,0,0,0,0.000000," ","integrate(1/(a+b*exp(d*x+c))/x^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(b e^{\left(d x + c\right)} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*e^(d*x + c) + a)*x^2), x)","F",0
7,1,34,0,0.884198," ","integrate(1/(a+b*exp(-d*x+c)),x, algorithm=""maxima"")","\frac{d x - c}{a d} + \frac{\log\left(b e^{\left(-d x + c\right)} + a\right)}{a d}"," ",0,"(d*x - c)/(a*d) + log(b*e^(-d*x + c) + a)/(a*d)","A",0
8,1,34,0,0.880584," ","integrate(1/(a+b*exp(-d*x-c)),x, algorithm=""maxima"")","\frac{d x + c}{a d} + \frac{\log\left(b e^{\left(-d x - c\right)} + a\right)}{a d}"," ",0,"(d*x + c)/(a*d) + log(b*e^(-d*x - c) + a)/(a*d)","A",0
9,1,195,0,1.029858," ","integrate(x^3/(a+b*exp(d*x+c))^2,x, algorithm=""maxima"")","\frac{x^{3}}{a b d e^{\left(d x + c\right)} + a^{2} d} + \frac{d^{4} x^{4} - 4 \, d^{3} x^{3}}{4 \, a^{2} d^{4}} - \frac{d^{3} x^{3} \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right) - 6 \, d x {\rm Li}_{3}(-\frac{b e^{\left(d x + c\right)}}{a}) + 6 \, {\rm Li}_{4}(-\frac{b e^{\left(d x + c\right)}}{a})}{a^{2} d^{4}} + \frac{3 \, {\left(d^{2} x^{2} \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + 2 \, d x {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right) - 2 \, {\rm Li}_{3}(-\frac{b e^{\left(d x + c\right)}}{a})\right)}}{a^{2} d^{4}}"," ",0,"x^3/(a*b*d*e^(d*x + c) + a^2*d) + 1/4*(d^4*x^4 - 4*d^3*x^3)/(a^2*d^4) - (d^3*x^3*log(b*e^(d*x + c)/a + 1) + 3*d^2*x^2*dilog(-b*e^(d*x + c)/a) - 6*d*x*polylog(3, -b*e^(d*x + c)/a) + 6*polylog(4, -b*e^(d*x + c)/a))/(a^2*d^4) + 3*(d^2*x^2*log(b*e^(d*x + c)/a + 1) + 2*d*x*dilog(-b*e^(d*x + c)/a) - 2*polylog(3, -b*e^(d*x + c)/a))/(a^2*d^4)","A",0
10,1,149,0,1.022323," ","integrate(x^2/(a+b*exp(d*x+c))^2,x, algorithm=""maxima"")","\frac{x^{2}}{a b d e^{\left(d x + c\right)} + a^{2} d} + \frac{d^{3} x^{3} - 3 \, d^{2} x^{2}}{3 \, a^{2} d^{3}} - \frac{d^{2} x^{2} \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + 2 \, d x {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right) - 2 \, {\rm Li}_{3}(-\frac{b e^{\left(d x + c\right)}}{a})}{a^{2} d^{3}} + \frac{2 \, {\left(d x \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right)\right)}}{a^{2} d^{3}}"," ",0,"x^2/(a*b*d*e^(d*x + c) + a^2*d) + 1/3*(d^3*x^3 - 3*d^2*x^2)/(a^2*d^3) - (d^2*x^2*log(b*e^(d*x + c)/a + 1) + 2*d*x*dilog(-b*e^(d*x + c)/a) - 2*polylog(3, -b*e^(d*x + c)/a))/(a^2*d^3) + 2*(d*x*log(b*e^(d*x + c)/a + 1) + dilog(-b*e^(d*x + c)/a))/(a^2*d^3)","A",0
11,1,95,0,1.007708," ","integrate(x/(a+b*exp(d*x+c))^2,x, algorithm=""maxima"")","\frac{x}{a b d e^{\left(d x + c\right)} + a^{2} d} + \frac{x^{2}}{2 \, a^{2}} - \frac{x}{a^{2} d} - \frac{d x \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right)}{a^{2} d^{2}} + \frac{\log\left(b e^{\left(d x + c\right)} + a\right)}{a^{2} d^{2}}"," ",0,"x/(a*b*d*e^(d*x + c) + a^2*d) + 1/2*x^2/a^2 - x/(a^2*d) - (d*x*log(b*e^(d*x + c)/a + 1) + dilog(-b*e^(d*x + c)/a))/(a^2*d^2) + log(b*e^(d*x + c) + a)/(a^2*d^2)","A",0
12,1,51,0,1.005943," ","integrate(1/(a+b*exp(d*x+c))^2,x, algorithm=""maxima"")","\frac{1}{{\left(a b e^{\left(d x + c\right)} + a^{2}\right)} d} + \frac{d x + c}{a^{2} d} - \frac{\log\left(b e^{\left(d x + c\right)} + a\right)}{a^{2} d}"," ",0,"1/((a*b*e^(d*x + c) + a^2)*d) + (d*x + c)/(a^2*d) - log(b*e^(d*x + c) + a)/(a^2*d)","A",0
13,0,0,0,0.000000," ","integrate(1/(a+b*exp(d*x+c))^2/x,x, algorithm=""maxima"")","\frac{1}{a b d x e^{\left(d x + c\right)} + a^{2} d x} + \int \frac{d x + 1}{a b d x^{2} e^{\left(d x + c\right)} + a^{2} d x^{2}}\,{d x}"," ",0,"1/(a*b*d*x*e^(d*x + c) + a^2*d*x) + integrate((d*x + 1)/(a*b*d*x^2*e^(d*x + c) + a^2*d*x^2), x)","F",0
14,0,0,0,0.000000," ","integrate(1/(a+b*exp(d*x+c))^2/x^2,x, algorithm=""maxima"")","\frac{1}{a b d x^{2} e^{\left(d x + c\right)} + a^{2} d x^{2}} + \int \frac{d x + 2}{a b d x^{3} e^{\left(d x + c\right)} + a^{2} d x^{3}}\,{d x}"," ",0,"1/(a*b*d*x^2*e^(d*x + c) + a^2*d*x^2) + integrate((d*x + 2)/(a*b*d*x^3*e^(d*x + c) + a^2*d*x^3), x)","F",0
15,1,55,0,1.093056," ","integrate(1/(a+b*exp(-d*x+c))^2,x, algorithm=""maxima"")","-\frac{1}{{\left(a b e^{\left(-d x + c\right)} + a^{2}\right)} d} + \frac{d x - c}{a^{2} d} + \frac{\log\left(b e^{\left(-d x + c\right)} + a\right)}{a^{2} d}"," ",0,"-1/((a*b*e^(-d*x + c) + a^2)*d) + (d*x - c)/(a^2*d) + log(b*e^(-d*x + c) + a)/(a^2*d)","A",0
16,1,57,0,0.953463," ","integrate(1/(a+b*exp(-d*x-c))^2,x, algorithm=""maxima"")","-\frac{1}{{\left(a b e^{\left(-d x - c\right)} + a^{2}\right)} d} + \frac{d x + c}{a^{2} d} + \frac{\log\left(b e^{\left(-d x - c\right)} + a\right)}{a^{2} d}"," ",0,"-1/((a*b*e^(-d*x - c) + a^2)*d) + (d*x + c)/(a^2*d) + log(b*e^(-d*x - c) + a)/(a^2*d)","A",0
17,1,303,0,1.083579," ","integrate(x^3/(a+b*exp(d*x+c))^3,x, algorithm=""maxima"")","\frac{3 \, a d x^{3} - 3 \, a x^{2} + {\left(2 \, b d x^{3} e^{c} - 3 \, b x^{2} e^{c}\right)} e^{\left(d x\right)}}{2 \, {\left(a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} e^{\left(d x + c\right)} + a^{4} d^{2}\right)}} + \frac{d^{4} x^{4} - 6 \, d^{3} x^{3} + 6 \, d^{2} x^{2}}{4 \, a^{3} d^{4}} - \frac{d^{3} x^{3} \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + 3 \, d^{2} x^{2} {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right) - 6 \, d x {\rm Li}_{3}(-\frac{b e^{\left(d x + c\right)}}{a}) + 6 \, {\rm Li}_{4}(-\frac{b e^{\left(d x + c\right)}}{a})}{a^{3} d^{4}} + \frac{9 \, {\left(d^{2} x^{2} \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + 2 \, d x {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right) - 2 \, {\rm Li}_{3}(-\frac{b e^{\left(d x + c\right)}}{a})\right)}}{2 \, a^{3} d^{4}} - \frac{3 \, {\left(d x \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right)\right)}}{a^{3} d^{4}}"," ",0,"1/2*(3*a*d*x^3 - 3*a*x^2 + (2*b*d*x^3*e^c - 3*b*x^2*e^c)*e^(d*x))/(a^2*b^2*d^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*e^(d*x + c) + a^4*d^2) + 1/4*(d^4*x^4 - 6*d^3*x^3 + 6*d^2*x^2)/(a^3*d^4) - (d^3*x^3*log(b*e^(d*x + c)/a + 1) + 3*d^2*x^2*dilog(-b*e^(d*x + c)/a) - 6*d*x*polylog(3, -b*e^(d*x + c)/a) + 6*polylog(4, -b*e^(d*x + c)/a))/(a^3*d^4) + 9/2*(d^2*x^2*log(b*e^(d*x + c)/a + 1) + 2*d*x*dilog(-b*e^(d*x + c)/a) - 2*polylog(3, -b*e^(d*x + c)/a))/(a^3*d^4) - 3*(d*x*log(b*e^(d*x + c)/a + 1) + dilog(-b*e^(d*x + c)/a))/(a^3*d^4)","A",0
18,1,234,0,1.063709," ","integrate(x^2/(a+b*exp(d*x+c))^3,x, algorithm=""maxima"")","\frac{3 \, a d x^{2} - 2 \, a x + 2 \, {\left(b d x^{2} e^{c} - b x e^{c}\right)} e^{\left(d x\right)}}{2 \, {\left(a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} e^{\left(d x + c\right)} + a^{4} d^{2}\right)}} + \frac{x}{a^{3} d^{2}} + \frac{2 \, d^{3} x^{3} - 9 \, d^{2} x^{2}}{6 \, a^{3} d^{3}} - \frac{d^{2} x^{2} \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + 2 \, d x {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right) - 2 \, {\rm Li}_{3}(-\frac{b e^{\left(d x + c\right)}}{a})}{a^{3} d^{3}} + \frac{3 \, {\left(d x \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right)\right)}}{a^{3} d^{3}} - \frac{\log\left(b e^{\left(d x + c\right)} + a\right)}{a^{3} d^{3}}"," ",0,"1/2*(3*a*d*x^2 - 2*a*x + 2*(b*d*x^2*e^c - b*x*e^c)*e^(d*x))/(a^2*b^2*d^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*e^(d*x + c) + a^4*d^2) + x/(a^3*d^2) + 1/6*(2*d^3*x^3 - 9*d^2*x^2)/(a^3*d^3) - (d^2*x^2*log(b*e^(d*x + c)/a + 1) + 2*d*x*dilog(-b*e^(d*x + c)/a) - 2*polylog(3, -b*e^(d*x + c)/a))/(a^3*d^3) + 3*(d*x*log(b*e^(d*x + c)/a + 1) + dilog(-b*e^(d*x + c)/a))/(a^3*d^3) - log(b*e^(d*x + c) + a)/(a^3*d^3)","A",0
19,1,149,0,1.054740," ","integrate(x/(a+b*exp(d*x+c))^3,x, algorithm=""maxima"")","\frac{3 \, a d x + {\left(2 \, b d x e^{c} - b e^{c}\right)} e^{\left(d x\right)} - a}{2 \, {\left(a^{2} b^{2} d^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} e^{\left(d x + c\right)} + a^{4} d^{2}\right)}} + \frac{x^{2}}{2 \, a^{3}} - \frac{3 \, x}{2 \, a^{3} d} - \frac{d x \log\left(\frac{b e^{\left(d x + c\right)}}{a} + 1\right) + {\rm Li}_2\left(-\frac{b e^{\left(d x + c\right)}}{a}\right)}{a^{3} d^{2}} + \frac{3 \, \log\left(b e^{\left(d x + c\right)} + a\right)}{2 \, a^{3} d^{2}}"," ",0,"1/2*(3*a*d*x + (2*b*d*x*e^c - b*e^c)*e^(d*x) - a)/(a^2*b^2*d^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*e^(d*x + c) + a^4*d^2) + 1/2*x^2/a^3 - 3/2*x/(a^3*d) - (d*x*log(b*e^(d*x + c)/a + 1) + dilog(-b*e^(d*x + c)/a))/(a^3*d^2) + 3/2*log(b*e^(d*x + c) + a)/(a^3*d^2)","A",0
20,1,84,0,0.913269," ","integrate(1/(a+b*exp(d*x+c))^3,x, algorithm=""maxima"")","\frac{2 \, b e^{\left(d x + c\right)} + 3 \, a}{2 \, {\left(a^{2} b^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b e^{\left(d x + c\right)} + a^{4}\right)} d} + \frac{d x + c}{a^{3} d} - \frac{\log\left(b e^{\left(d x + c\right)} + a\right)}{a^{3} d}"," ",0,"1/2*(2*b*e^(d*x + c) + 3*a)/((a^2*b^2*e^(2*d*x + 2*c) + 2*a^3*b*e^(d*x + c) + a^4)*d) + (d*x + c)/(a^3*d) - log(b*e^(d*x + c) + a)/(a^3*d)","A",0
21,0,0,0,0.000000," ","integrate(1/(a+b*exp(d*x+c))^3/x,x, algorithm=""maxima"")","\frac{3 \, a d x + {\left(2 \, b d x e^{c} + b e^{c}\right)} e^{\left(d x\right)} + a}{2 \, {\left(a^{2} b^{2} d^{2} x^{2} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} x^{2} e^{\left(d x + c\right)} + a^{4} d^{2} x^{2}\right)}} + \int \frac{2 \, d^{2} x^{2} + 3 \, d x + 2}{2 \, {\left(a^{2} b d^{2} x^{3} e^{\left(d x + c\right)} + a^{3} d^{2} x^{3}\right)}}\,{d x}"," ",0,"1/2*(3*a*d*x + (2*b*d*x*e^c + b*e^c)*e^(d*x) + a)/(a^2*b^2*d^2*x^2*e^(2*d*x + 2*c) + 2*a^3*b*d^2*x^2*e^(d*x + c) + a^4*d^2*x^2) + integrate(1/2*(2*d^2*x^2 + 3*d*x + 2)/(a^2*b*d^2*x^3*e^(d*x + c) + a^3*d^2*x^3), x)","F",0
22,0,0,0,0.000000," ","integrate(1/(a+b*exp(d*x+c))^3/x^2,x, algorithm=""maxima"")","\frac{3 \, a d x + 2 \, {\left(b d x e^{c} + b e^{c}\right)} e^{\left(d x\right)} + 2 \, a}{2 \, {\left(a^{2} b^{2} d^{2} x^{3} e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a^{3} b d^{2} x^{3} e^{\left(d x + c\right)} + a^{4} d^{2} x^{3}\right)}} + \int \frac{d^{2} x^{2} + 3 \, d x + 3}{a^{2} b d^{2} x^{4} e^{\left(d x + c\right)} + a^{3} d^{2} x^{4}}\,{d x}"," ",0,"1/2*(3*a*d*x + 2*(b*d*x*e^c + b*e^c)*e^(d*x) + 2*a)/(a^2*b^2*d^2*x^3*e^(2*d*x + 2*c) + 2*a^3*b*d^2*x^3*e^(d*x + c) + a^4*d^2*x^3) + integrate((d^2*x^2 + 3*d*x + 3)/(a^2*b*d^2*x^4*e^(d*x + c) + a^3*d^2*x^4), x)","F",0
23,1,88,0,0.899842," ","integrate(1/(a+b*exp(-d*x+c))^3,x, algorithm=""maxima"")","-\frac{2 \, b e^{\left(-d x + c\right)} + 3 \, a}{2 \, {\left(2 \, a^{3} b e^{\left(-d x + c\right)} + a^{2} b^{2} e^{\left(-2 \, d x + 2 \, c\right)} + a^{4}\right)} d} + \frac{d x - c}{a^{3} d} + \frac{\log\left(b e^{\left(-d x + c\right)} + a\right)}{a^{3} d}"," ",0,"-1/2*(2*b*e^(-d*x + c) + 3*a)/((2*a^3*b*e^(-d*x + c) + a^2*b^2*e^(-2*d*x + 2*c) + a^4)*d) + (d*x - c)/(a^3*d) + log(b*e^(-d*x + c) + a)/(a^3*d)","A",0
24,1,92,0,0.874765," ","integrate(1/(a+b*exp(-d*x-c))^3,x, algorithm=""maxima"")","-\frac{2 \, b e^{\left(-d x - c\right)} + 3 \, a}{2 \, {\left(2 \, a^{3} b e^{\left(-d x - c\right)} + a^{2} b^{2} e^{\left(-2 \, d x - 2 \, c\right)} + a^{4}\right)} d} + \frac{d x + c}{a^{3} d} + \frac{\log\left(b e^{\left(-d x - c\right)} + a\right)}{a^{3} d}"," ",0,"-1/2*(2*b*e^(-d*x - c) + 3*a)/((2*a^3*b*e^(-d*x - c) + a^2*b^2*e^(-2*d*x - 2*c) + a^4)*d) + (d*x + c)/(a^3*d) + log(b*e^(-d*x - c) + a)/(a^3*d)","A",0
25,1,294,0,1.350539," ","integrate((a+b*(F^(g*(f*x+e)))^n)*(d*x+c)^3,x, algorithm=""maxima"")","\frac{1}{4} \, a d^{3} x^{4} + a c d^{2} x^{3} + \frac{3}{2} \, a c^{2} d x^{2} + a c^{3} x + \frac{{\left(F^{f g x + e g}\right)}^{n} b c^{3}}{f g n \log\left(F\right)} + \frac{3 \, {\left({\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} b c^{2} d}{f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{3 \, {\left({\left(F^{e g}\right)}^{n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} - 2 \, {\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) + 2 \, {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} b c d^{2}}{f^{3} g^{3} n^{3} \log\left(F\right)^{3}} + \frac{{\left({\left(F^{e g}\right)}^{n} f^{3} g^{3} n^{3} x^{3} \log\left(F\right)^{3} - 3 \, {\left(F^{e g}\right)}^{n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 6 \, {\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) - 6 \, {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} b d^{3}}{f^{4} g^{4} n^{4} \log\left(F\right)^{4}}"," ",0,"1/4*a*d^3*x^4 + a*c*d^2*x^3 + 3/2*a*c^2*d*x^2 + a*c^3*x + (F^(f*g*x + e*g))^n*b*c^3/(f*g*n*log(F)) + 3*((F^(e*g))^n*f*g*n*x*log(F) - (F^(e*g))^n)*(F^(f*g*x))^n*b*c^2*d/(f^2*g^2*n^2*log(F)^2) + 3*((F^(e*g))^n*f^2*g^2*n^2*x^2*log(F)^2 - 2*(F^(e*g))^n*f*g*n*x*log(F) + 2*(F^(e*g))^n)*(F^(f*g*x))^n*b*c*d^2/(f^3*g^3*n^3*log(F)^3) + ((F^(e*g))^n*f^3*g^3*n^3*x^3*log(F)^3 - 3*(F^(e*g))^n*f^2*g^2*n^2*x^2*log(F)^2 + 6*(F^(e*g))^n*f*g*n*x*log(F) - 6*(F^(e*g))^n)*(F^(f*g*x))^n*b*d^3/(f^4*g^4*n^4*log(F)^4)","A",0
26,1,178,0,1.255604," ","integrate((a+b*(F^(g*(f*x+e)))^n)*(d*x+c)^2,x, algorithm=""maxima"")","\frac{1}{3} \, a d^{2} x^{3} + a c d x^{2} + a c^{2} x + \frac{{\left(F^{f g x + e g}\right)}^{n} b c^{2}}{f g n \log\left(F\right)} + \frac{2 \, {\left({\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} b c d}{f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{{\left({\left(F^{e g}\right)}^{n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} - 2 \, {\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) + 2 \, {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} b d^{2}}{f^{3} g^{3} n^{3} \log\left(F\right)^{3}}"," ",0,"1/3*a*d^2*x^3 + a*c*d*x^2 + a*c^2*x + (F^(f*g*x + e*g))^n*b*c^2/(f*g*n*log(F)) + 2*((F^(e*g))^n*f*g*n*x*log(F) - (F^(e*g))^n)*(F^(f*g*x))^n*b*c*d/(f^2*g^2*n^2*log(F)^2) + ((F^(e*g))^n*f^2*g^2*n^2*x^2*log(F)^2 - 2*(F^(e*g))^n*f*g*n*x*log(F) + 2*(F^(e*g))^n)*(F^(f*g*x))^n*b*d^2/(f^3*g^3*n^3*log(F)^3)","A",0
27,1,88,0,1.077655," ","integrate((a+b*(F^(g*(f*x+e)))^n)*(d*x+c),x, algorithm=""maxima"")","\frac{1}{2} \, a d x^{2} + a c x + \frac{{\left(F^{f g x + e g}\right)}^{n} b c}{f g n \log\left(F\right)} + \frac{{\left({\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} b d}{f^{2} g^{2} n^{2} \log\left(F\right)^{2}}"," ",0,"1/2*a*d*x^2 + a*c*x + (F^(f*g*x + e*g))^n*b*c/(f*g*n*log(F)) + ((F^(e*g))^n*f*g*n*x*log(F) - (F^(e*g))^n)*(F^(f*g*x))^n*b*d/(f^2*g^2*n^2*log(F)^2)","A",0
28,1,31,0,0.927465," ","integrate(a+b*(F^(g*(f*x+e)))^n,x, algorithm=""maxima"")","a x + \frac{{\left(F^{f g x + e g}\right)}^{n} b}{f g n \log\left(F\right)}"," ",0,"a*x + (F^(f*g*x + e*g))^n*b/(f*g*n*log(F))","A",0
29,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)/(d*x+c),x, algorithm=""maxima"")","{\left(F^{e g}\right)}^{n} b \int \frac{{\left(F^{f g x}\right)}^{n}}{d x + c}\,{d x} + \frac{a \log\left(d x + c\right)}{d}"," ",0,"(F^(e*g))^n*b*integrate((F^(f*g*x))^n/(d*x + c), x) + a*log(d*x + c)/d","F",0
30,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)/(d*x+c)^2,x, algorithm=""maxima"")","{\left(F^{e g}\right)}^{n} b \int \frac{{\left(F^{f g x}\right)}^{n}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} - \frac{a}{d^{2} x + c d}"," ",0,"(F^(e*g))^n*b*integrate((F^(f*g*x))^n/(d^2*x^2 + 2*c*d*x + c^2), x) - a/(d^2*x + c*d)","F",0
31,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)/(d*x+c)^3,x, algorithm=""maxima"")","{\left(F^{e g}\right)}^{n} b \int \frac{{\left(F^{f g x}\right)}^{n}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\,{d x} - \frac{a}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d\right)}}"," ",0,"(F^(e*g))^n*b*integrate((F^(f*g*x))^n/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x) - 1/2*a/(d^3*x^2 + 2*c*d^2*x + c^2*d)","F",0
32,1,604,0,1.885075," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2*(d*x+c)^3,x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} d^{3} x^{4} + a^{2} c d^{2} x^{3} + \frac{3}{2} \, a^{2} c^{2} d x^{2} + a^{2} c^{3} x + \frac{2 \, {\left(F^{f g x + e g}\right)}^{n} a b c^{3}}{f g n \log\left(F\right)} + \frac{{\left(F^{f g x + e g}\right)}^{2 \, n} b^{2} c^{3}}{2 \, f g n \log\left(F\right)} + \frac{6 \, {\left({\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} a b c^{2} d}{f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{3 \, {\left(2 \, {\left(F^{e g}\right)}^{2 \, n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{2 \, n}\right)} {\left(F^{f g x}\right)}^{2 \, n} b^{2} c^{2} d}{4 \, f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{6 \, {\left({\left(F^{e g}\right)}^{n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} - 2 \, {\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) + 2 \, {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} a b c d^{2}}{f^{3} g^{3} n^{3} \log\left(F\right)^{3}} + \frac{3 \, {\left(2 \, {\left(F^{e g}\right)}^{2 \, n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} - 2 \, {\left(F^{e g}\right)}^{2 \, n} f g n x \log\left(F\right) + {\left(F^{e g}\right)}^{2 \, n}\right)} {\left(F^{f g x}\right)}^{2 \, n} b^{2} c d^{2}}{4 \, f^{3} g^{3} n^{3} \log\left(F\right)^{3}} + \frac{2 \, {\left({\left(F^{e g}\right)}^{n} f^{3} g^{3} n^{3} x^{3} \log\left(F\right)^{3} - 3 \, {\left(F^{e g}\right)}^{n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 6 \, {\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) - 6 \, {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} a b d^{3}}{f^{4} g^{4} n^{4} \log\left(F\right)^{4}} + \frac{{\left(4 \, {\left(F^{e g}\right)}^{2 \, n} f^{3} g^{3} n^{3} x^{3} \log\left(F\right)^{3} - 6 \, {\left(F^{e g}\right)}^{2 \, n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 6 \, {\left(F^{e g}\right)}^{2 \, n} f g n x \log\left(F\right) - 3 \, {\left(F^{e g}\right)}^{2 \, n}\right)} {\left(F^{f g x}\right)}^{2 \, n} b^{2} d^{3}}{8 \, f^{4} g^{4} n^{4} \log\left(F\right)^{4}}"," ",0,"1/4*a^2*d^3*x^4 + a^2*c*d^2*x^3 + 3/2*a^2*c^2*d*x^2 + a^2*c^3*x + 2*(F^(f*g*x + e*g))^n*a*b*c^3/(f*g*n*log(F)) + 1/2*(F^(f*g*x + e*g))^(2*n)*b^2*c^3/(f*g*n*log(F)) + 6*((F^(e*g))^n*f*g*n*x*log(F) - (F^(e*g))^n)*(F^(f*g*x))^n*a*b*c^2*d/(f^2*g^2*n^2*log(F)^2) + 3/4*(2*(F^(e*g))^(2*n)*f*g*n*x*log(F) - (F^(e*g))^(2*n))*(F^(f*g*x))^(2*n)*b^2*c^2*d/(f^2*g^2*n^2*log(F)^2) + 6*((F^(e*g))^n*f^2*g^2*n^2*x^2*log(F)^2 - 2*(F^(e*g))^n*f*g*n*x*log(F) + 2*(F^(e*g))^n)*(F^(f*g*x))^n*a*b*c*d^2/(f^3*g^3*n^3*log(F)^3) + 3/4*(2*(F^(e*g))^(2*n)*f^2*g^2*n^2*x^2*log(F)^2 - 2*(F^(e*g))^(2*n)*f*g*n*x*log(F) + (F^(e*g))^(2*n))*(F^(f*g*x))^(2*n)*b^2*c*d^2/(f^3*g^3*n^3*log(F)^3) + 2*((F^(e*g))^n*f^3*g^3*n^3*x^3*log(F)^3 - 3*(F^(e*g))^n*f^2*g^2*n^2*x^2*log(F)^2 + 6*(F^(e*g))^n*f*g*n*x*log(F) - 6*(F^(e*g))^n)*(F^(f*g*x))^n*a*b*d^3/(f^4*g^4*n^4*log(F)^4) + 1/8*(4*(F^(e*g))^(2*n)*f^3*g^3*n^3*x^3*log(F)^3 - 6*(F^(e*g))^(2*n)*f^2*g^2*n^2*x^2*log(F)^2 + 6*(F^(e*g))^(2*n)*f*g*n*x*log(F) - 3*(F^(e*g))^(2*n))*(F^(f*g*x))^(2*n)*b^2*d^3/(f^4*g^4*n^4*log(F)^4)","A",0
33,1,368,0,1.612085," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2*(d*x+c)^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} d^{2} x^{3} + a^{2} c d x^{2} + a^{2} c^{2} x + \frac{2 \, {\left(F^{f g x + e g}\right)}^{n} a b c^{2}}{f g n \log\left(F\right)} + \frac{{\left(F^{f g x + e g}\right)}^{2 \, n} b^{2} c^{2}}{2 \, f g n \log\left(F\right)} + \frac{4 \, {\left({\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} a b c d}{f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{{\left(2 \, {\left(F^{e g}\right)}^{2 \, n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{2 \, n}\right)} {\left(F^{f g x}\right)}^{2 \, n} b^{2} c d}{2 \, f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{2 \, {\left({\left(F^{e g}\right)}^{n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} - 2 \, {\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) + 2 \, {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} a b d^{2}}{f^{3} g^{3} n^{3} \log\left(F\right)^{3}} + \frac{{\left(2 \, {\left(F^{e g}\right)}^{2 \, n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} - 2 \, {\left(F^{e g}\right)}^{2 \, n} f g n x \log\left(F\right) + {\left(F^{e g}\right)}^{2 \, n}\right)} {\left(F^{f g x}\right)}^{2 \, n} b^{2} d^{2}}{4 \, f^{3} g^{3} n^{3} \log\left(F\right)^{3}}"," ",0,"1/3*a^2*d^2*x^3 + a^2*c*d*x^2 + a^2*c^2*x + 2*(F^(f*g*x + e*g))^n*a*b*c^2/(f*g*n*log(F)) + 1/2*(F^(f*g*x + e*g))^(2*n)*b^2*c^2/(f*g*n*log(F)) + 4*((F^(e*g))^n*f*g*n*x*log(F) - (F^(e*g))^n)*(F^(f*g*x))^n*a*b*c*d/(f^2*g^2*n^2*log(F)^2) + 1/2*(2*(F^(e*g))^(2*n)*f*g*n*x*log(F) - (F^(e*g))^(2*n))*(F^(f*g*x))^(2*n)*b^2*c*d/(f^2*g^2*n^2*log(F)^2) + 2*((F^(e*g))^n*f^2*g^2*n^2*x^2*log(F)^2 - 2*(F^(e*g))^n*f*g*n*x*log(F) + 2*(F^(e*g))^n)*(F^(f*g*x))^n*a*b*d^2/(f^3*g^3*n^3*log(F)^3) + 1/4*(2*(F^(e*g))^(2*n)*f^2*g^2*n^2*x^2*log(F)^2 - 2*(F^(e*g))^(2*n)*f*g*n*x*log(F) + (F^(e*g))^(2*n))*(F^(f*g*x))^(2*n)*b^2*d^2/(f^3*g^3*n^3*log(F)^3)","A",0
34,1,187,0,1.245144," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2*(d*x+c),x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} d x^{2} + a^{2} c x + \frac{2 \, {\left(F^{f g x + e g}\right)}^{n} a b c}{f g n \log\left(F\right)} + \frac{{\left(F^{f g x + e g}\right)}^{2 \, n} b^{2} c}{2 \, f g n \log\left(F\right)} + \frac{2 \, {\left({\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} a b d}{f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{{\left(2 \, {\left(F^{e g}\right)}^{2 \, n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{2 \, n}\right)} {\left(F^{f g x}\right)}^{2 \, n} b^{2} d}{4 \, f^{2} g^{2} n^{2} \log\left(F\right)^{2}}"," ",0,"1/2*a^2*d*x^2 + a^2*c*x + 2*(F^(f*g*x + e*g))^n*a*b*c/(f*g*n*log(F)) + 1/2*(F^(f*g*x + e*g))^(2*n)*b^2*c/(f*g*n*log(F)) + 2*((F^(e*g))^n*f*g*n*x*log(F) - (F^(e*g))^n)*(F^(f*g*x))^n*a*b*d/(f^2*g^2*n^2*log(F)^2) + 1/4*(2*(F^(e*g))^(2*n)*f*g*n*x*log(F) - (F^(e*g))^(2*n))*(F^(f*g*x))^(2*n)*b^2*d/(f^2*g^2*n^2*log(F)^2)","A",0
35,1,75,0,1.193902," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2,x, algorithm=""maxima"")","a^{2} x + \frac{2 \, {\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a b}{f g n \log\left(F\right)} + \frac{{\left(F^{f g x}\right)}^{2 \, n} {\left(F^{e g}\right)}^{2 \, n} b^{2}}{2 \, f g n \log\left(F\right)}"," ",0,"a^2*x + 2*(F^(f*g*x))^n*(F^(e*g))^n*a*b/(f*g*n*log(F)) + 1/2*(F^(f*g*x))^(2*n)*(F^(e*g))^(2*n)*b^2/(f*g*n*log(F))","A",0
36,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2/(d*x+c),x, algorithm=""maxima"")","{\left(F^{e g}\right)}^{2 \, n} b^{2} \int \frac{{\left(F^{f g x}\right)}^{2 \, n}}{d x + c}\,{d x} + 2 \, {\left(F^{e g}\right)}^{n} a b \int \frac{{\left(F^{f g x}\right)}^{n}}{d x + c}\,{d x} + \frac{a^{2} \log\left(d x + c\right)}{d}"," ",0,"(F^(e*g))^(2*n)*b^2*integrate((F^(f*g*x))^(2*n)/(d*x + c), x) + 2*(F^(e*g))^n*a*b*integrate((F^(f*g*x))^n/(d*x + c), x) + a^2*log(d*x + c)/d","F",0
37,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2/(d*x+c)^2,x, algorithm=""maxima"")","{\left(F^{e g}\right)}^{2 \, n} b^{2} \int \frac{{\left(F^{f g x}\right)}^{2 \, n}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} + 2 \, {\left(F^{e g}\right)}^{n} a b \int \frac{{\left(F^{f g x}\right)}^{n}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} - \frac{a^{2}}{d^{2} x + c d}"," ",0,"(F^(e*g))^(2*n)*b^2*integrate((F^(f*g*x))^(2*n)/(d^2*x^2 + 2*c*d*x + c^2), x) + 2*(F^(e*g))^n*a*b*integrate((F^(f*g*x))^n/(d^2*x^2 + 2*c*d*x + c^2), x) - a^2/(d^2*x + c*d)","F",0
38,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2/(d*x+c)^3,x, algorithm=""maxima"")","{\left(F^{e g}\right)}^{2 \, n} b^{2} \int \frac{{\left(F^{f g x}\right)}^{2 \, n}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\,{d x} + 2 \, {\left(F^{e g}\right)}^{n} a b \int \frac{{\left(F^{f g x}\right)}^{n}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\,{d x} - \frac{a^{2}}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d\right)}}"," ",0,"(F^(e*g))^(2*n)*b^2*integrate((F^(f*g*x))^(2*n)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x) + 2*(F^(e*g))^n*a*b*integrate((F^(f*g*x))^n/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x) - 1/2*a^2/(d^3*x^2 + 2*c*d^2*x + c^2*d)","F",0
39,1,914,0,2.369445," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3*(d*x+c)^3,x, algorithm=""maxima"")","\frac{1}{4} \, a^{3} d^{3} x^{4} + a^{3} c d^{2} x^{3} + \frac{3}{2} \, a^{3} c^{2} d x^{2} + a^{3} c^{3} x + \frac{3 \, {\left(F^{f g x + e g}\right)}^{n} a^{2} b c^{3}}{f g n \log\left(F\right)} + \frac{3 \, {\left(F^{f g x + e g}\right)}^{2 \, n} a b^{2} c^{3}}{2 \, f g n \log\left(F\right)} + \frac{{\left(F^{f g x + e g}\right)}^{3 \, n} b^{3} c^{3}}{3 \, f g n \log\left(F\right)} + \frac{9 \, {\left({\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} a^{2} b c^{2} d}{f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{9 \, {\left(2 \, {\left(F^{e g}\right)}^{2 \, n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{2 \, n}\right)} {\left(F^{f g x}\right)}^{2 \, n} a b^{2} c^{2} d}{4 \, f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{{\left(3 \, {\left(F^{e g}\right)}^{3 \, n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{3 \, n}\right)} {\left(F^{f g x}\right)}^{3 \, n} b^{3} c^{2} d}{3 \, f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{9 \, {\left({\left(F^{e g}\right)}^{n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} - 2 \, {\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) + 2 \, {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} a^{2} b c d^{2}}{f^{3} g^{3} n^{3} \log\left(F\right)^{3}} + \frac{9 \, {\left(2 \, {\left(F^{e g}\right)}^{2 \, n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} - 2 \, {\left(F^{e g}\right)}^{2 \, n} f g n x \log\left(F\right) + {\left(F^{e g}\right)}^{2 \, n}\right)} {\left(F^{f g x}\right)}^{2 \, n} a b^{2} c d^{2}}{4 \, f^{3} g^{3} n^{3} \log\left(F\right)^{3}} + \frac{{\left(9 \, {\left(F^{e g}\right)}^{3 \, n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} - 6 \, {\left(F^{e g}\right)}^{3 \, n} f g n x \log\left(F\right) + 2 \, {\left(F^{e g}\right)}^{3 \, n}\right)} {\left(F^{f g x}\right)}^{3 \, n} b^{3} c d^{2}}{9 \, f^{3} g^{3} n^{3} \log\left(F\right)^{3}} + \frac{3 \, {\left({\left(F^{e g}\right)}^{n} f^{3} g^{3} n^{3} x^{3} \log\left(F\right)^{3} - 3 \, {\left(F^{e g}\right)}^{n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 6 \, {\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) - 6 \, {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} a^{2} b d^{3}}{f^{4} g^{4} n^{4} \log\left(F\right)^{4}} + \frac{3 \, {\left(4 \, {\left(F^{e g}\right)}^{2 \, n} f^{3} g^{3} n^{3} x^{3} \log\left(F\right)^{3} - 6 \, {\left(F^{e g}\right)}^{2 \, n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 6 \, {\left(F^{e g}\right)}^{2 \, n} f g n x \log\left(F\right) - 3 \, {\left(F^{e g}\right)}^{2 \, n}\right)} {\left(F^{f g x}\right)}^{2 \, n} a b^{2} d^{3}}{8 \, f^{4} g^{4} n^{4} \log\left(F\right)^{4}} + \frac{{\left(9 \, {\left(F^{e g}\right)}^{3 \, n} f^{3} g^{3} n^{3} x^{3} \log\left(F\right)^{3} - 9 \, {\left(F^{e g}\right)}^{3 \, n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 6 \, {\left(F^{e g}\right)}^{3 \, n} f g n x \log\left(F\right) - 2 \, {\left(F^{e g}\right)}^{3 \, n}\right)} {\left(F^{f g x}\right)}^{3 \, n} b^{3} d^{3}}{27 \, f^{4} g^{4} n^{4} \log\left(F\right)^{4}}"," ",0,"1/4*a^3*d^3*x^4 + a^3*c*d^2*x^3 + 3/2*a^3*c^2*d*x^2 + a^3*c^3*x + 3*(F^(f*g*x + e*g))^n*a^2*b*c^3/(f*g*n*log(F)) + 3/2*(F^(f*g*x + e*g))^(2*n)*a*b^2*c^3/(f*g*n*log(F)) + 1/3*(F^(f*g*x + e*g))^(3*n)*b^3*c^3/(f*g*n*log(F)) + 9*((F^(e*g))^n*f*g*n*x*log(F) - (F^(e*g))^n)*(F^(f*g*x))^n*a^2*b*c^2*d/(f^2*g^2*n^2*log(F)^2) + 9/4*(2*(F^(e*g))^(2*n)*f*g*n*x*log(F) - (F^(e*g))^(2*n))*(F^(f*g*x))^(2*n)*a*b^2*c^2*d/(f^2*g^2*n^2*log(F)^2) + 1/3*(3*(F^(e*g))^(3*n)*f*g*n*x*log(F) - (F^(e*g))^(3*n))*(F^(f*g*x))^(3*n)*b^3*c^2*d/(f^2*g^2*n^2*log(F)^2) + 9*((F^(e*g))^n*f^2*g^2*n^2*x^2*log(F)^2 - 2*(F^(e*g))^n*f*g*n*x*log(F) + 2*(F^(e*g))^n)*(F^(f*g*x))^n*a^2*b*c*d^2/(f^3*g^3*n^3*log(F)^3) + 9/4*(2*(F^(e*g))^(2*n)*f^2*g^2*n^2*x^2*log(F)^2 - 2*(F^(e*g))^(2*n)*f*g*n*x*log(F) + (F^(e*g))^(2*n))*(F^(f*g*x))^(2*n)*a*b^2*c*d^2/(f^3*g^3*n^3*log(F)^3) + 1/9*(9*(F^(e*g))^(3*n)*f^2*g^2*n^2*x^2*log(F)^2 - 6*(F^(e*g))^(3*n)*f*g*n*x*log(F) + 2*(F^(e*g))^(3*n))*(F^(f*g*x))^(3*n)*b^3*c*d^2/(f^3*g^3*n^3*log(F)^3) + 3*((F^(e*g))^n*f^3*g^3*n^3*x^3*log(F)^3 - 3*(F^(e*g))^n*f^2*g^2*n^2*x^2*log(F)^2 + 6*(F^(e*g))^n*f*g*n*x*log(F) - 6*(F^(e*g))^n)*(F^(f*g*x))^n*a^2*b*d^3/(f^4*g^4*n^4*log(F)^4) + 3/8*(4*(F^(e*g))^(2*n)*f^3*g^3*n^3*x^3*log(F)^3 - 6*(F^(e*g))^(2*n)*f^2*g^2*n^2*x^2*log(F)^2 + 6*(F^(e*g))^(2*n)*f*g*n*x*log(F) - 3*(F^(e*g))^(2*n))*(F^(f*g*x))^(2*n)*a*b^2*d^3/(f^4*g^4*n^4*log(F)^4) + 1/27*(9*(F^(e*g))^(3*n)*f^3*g^3*n^3*x^3*log(F)^3 - 9*(F^(e*g))^(3*n)*f^2*g^2*n^2*x^2*log(F)^2 + 6*(F^(e*g))^(3*n)*f*g*n*x*log(F) - 2*(F^(e*g))^(3*n))*(F^(f*g*x))^(3*n)*b^3*d^3/(f^4*g^4*n^4*log(F)^4)","A",0
40,1,558,0,1.814057," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3*(d*x+c)^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{3} d^{2} x^{3} + a^{3} c d x^{2} + a^{3} c^{2} x + \frac{3 \, {\left(F^{f g x + e g}\right)}^{n} a^{2} b c^{2}}{f g n \log\left(F\right)} + \frac{3 \, {\left(F^{f g x + e g}\right)}^{2 \, n} a b^{2} c^{2}}{2 \, f g n \log\left(F\right)} + \frac{{\left(F^{f g x + e g}\right)}^{3 \, n} b^{3} c^{2}}{3 \, f g n \log\left(F\right)} + \frac{6 \, {\left({\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} a^{2} b c d}{f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{3 \, {\left(2 \, {\left(F^{e g}\right)}^{2 \, n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{2 \, n}\right)} {\left(F^{f g x}\right)}^{2 \, n} a b^{2} c d}{2 \, f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{2 \, {\left(3 \, {\left(F^{e g}\right)}^{3 \, n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{3 \, n}\right)} {\left(F^{f g x}\right)}^{3 \, n} b^{3} c d}{9 \, f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{3 \, {\left({\left(F^{e g}\right)}^{n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} - 2 \, {\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) + 2 \, {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} a^{2} b d^{2}}{f^{3} g^{3} n^{3} \log\left(F\right)^{3}} + \frac{3 \, {\left(2 \, {\left(F^{e g}\right)}^{2 \, n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} - 2 \, {\left(F^{e g}\right)}^{2 \, n} f g n x \log\left(F\right) + {\left(F^{e g}\right)}^{2 \, n}\right)} {\left(F^{f g x}\right)}^{2 \, n} a b^{2} d^{2}}{4 \, f^{3} g^{3} n^{3} \log\left(F\right)^{3}} + \frac{{\left(9 \, {\left(F^{e g}\right)}^{3 \, n} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} - 6 \, {\left(F^{e g}\right)}^{3 \, n} f g n x \log\left(F\right) + 2 \, {\left(F^{e g}\right)}^{3 \, n}\right)} {\left(F^{f g x}\right)}^{3 \, n} b^{3} d^{2}}{27 \, f^{3} g^{3} n^{3} \log\left(F\right)^{3}}"," ",0,"1/3*a^3*d^2*x^3 + a^3*c*d*x^2 + a^3*c^2*x + 3*(F^(f*g*x + e*g))^n*a^2*b*c^2/(f*g*n*log(F)) + 3/2*(F^(f*g*x + e*g))^(2*n)*a*b^2*c^2/(f*g*n*log(F)) + 1/3*(F^(f*g*x + e*g))^(3*n)*b^3*c^2/(f*g*n*log(F)) + 6*((F^(e*g))^n*f*g*n*x*log(F) - (F^(e*g))^n)*(F^(f*g*x))^n*a^2*b*c*d/(f^2*g^2*n^2*log(F)^2) + 3/2*(2*(F^(e*g))^(2*n)*f*g*n*x*log(F) - (F^(e*g))^(2*n))*(F^(f*g*x))^(2*n)*a*b^2*c*d/(f^2*g^2*n^2*log(F)^2) + 2/9*(3*(F^(e*g))^(3*n)*f*g*n*x*log(F) - (F^(e*g))^(3*n))*(F^(f*g*x))^(3*n)*b^3*c*d/(f^2*g^2*n^2*log(F)^2) + 3*((F^(e*g))^n*f^2*g^2*n^2*x^2*log(F)^2 - 2*(F^(e*g))^n*f*g*n*x*log(F) + 2*(F^(e*g))^n)*(F^(f*g*x))^n*a^2*b*d^2/(f^3*g^3*n^3*log(F)^3) + 3/4*(2*(F^(e*g))^(2*n)*f^2*g^2*n^2*x^2*log(F)^2 - 2*(F^(e*g))^(2*n)*f*g*n*x*log(F) + (F^(e*g))^(2*n))*(F^(f*g*x))^(2*n)*a*b^2*d^2/(f^3*g^3*n^3*log(F)^3) + 1/27*(9*(F^(e*g))^(3*n)*f^2*g^2*n^2*x^2*log(F)^2 - 6*(F^(e*g))^(3*n)*f*g*n*x*log(F) + 2*(F^(e*g))^(3*n))*(F^(f*g*x))^(3*n)*b^3*d^2/(f^3*g^3*n^3*log(F)^3)","A",0
41,1,284,0,1.420827," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3*(d*x+c),x, algorithm=""maxima"")","\frac{1}{2} \, a^{3} d x^{2} + a^{3} c x + \frac{3 \, {\left(F^{f g x + e g}\right)}^{n} a^{2} b c}{f g n \log\left(F\right)} + \frac{3 \, {\left(F^{f g x + e g}\right)}^{2 \, n} a b^{2} c}{2 \, f g n \log\left(F\right)} + \frac{{\left(F^{f g x + e g}\right)}^{3 \, n} b^{3} c}{3 \, f g n \log\left(F\right)} + \frac{3 \, {\left({\left(F^{e g}\right)}^{n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{n}\right)} {\left(F^{f g x}\right)}^{n} a^{2} b d}{f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{3 \, {\left(2 \, {\left(F^{e g}\right)}^{2 \, n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{2 \, n}\right)} {\left(F^{f g x}\right)}^{2 \, n} a b^{2} d}{4 \, f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + \frac{{\left(3 \, {\left(F^{e g}\right)}^{3 \, n} f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{3 \, n}\right)} {\left(F^{f g x}\right)}^{3 \, n} b^{3} d}{9 \, f^{2} g^{2} n^{2} \log\left(F\right)^{2}}"," ",0,"1/2*a^3*d*x^2 + a^3*c*x + 3*(F^(f*g*x + e*g))^n*a^2*b*c/(f*g*n*log(F)) + 3/2*(F^(f*g*x + e*g))^(2*n)*a*b^2*c/(f*g*n*log(F)) + 1/3*(F^(f*g*x + e*g))^(3*n)*b^3*c/(f*g*n*log(F)) + 3*((F^(e*g))^n*f*g*n*x*log(F) - (F^(e*g))^n)*(F^(f*g*x))^n*a^2*b*d/(f^2*g^2*n^2*log(F)^2) + 3/4*(2*(F^(e*g))^(2*n)*f*g*n*x*log(F) - (F^(e*g))^(2*n))*(F^(f*g*x))^(2*n)*a*b^2*d/(f^2*g^2*n^2*log(F)^2) + 1/9*(3*(F^(e*g))^(3*n)*f*g*n*x*log(F) - (F^(e*g))^(3*n))*(F^(f*g*x))^(3*n)*b^3*d/(f^2*g^2*n^2*log(F)^2)","A",0
42,1,115,0,1.562350," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3,x, algorithm=""maxima"")","a^{3} x + \frac{3 \, {\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a^{2} b}{f g n \log\left(F\right)} + \frac{3 \, {\left(F^{f g x}\right)}^{2 \, n} {\left(F^{e g}\right)}^{2 \, n} a b^{2}}{2 \, f g n \log\left(F\right)} + \frac{{\left(F^{f g x}\right)}^{3 \, n} {\left(F^{e g}\right)}^{3 \, n} b^{3}}{3 \, f g n \log\left(F\right)}"," ",0,"a^3*x + 3*(F^(f*g*x))^n*(F^(e*g))^n*a^2*b/(f*g*n*log(F)) + 3/2*(F^(f*g*x))^(2*n)*(F^(e*g))^(2*n)*a*b^2/(f*g*n*log(F)) + 1/3*(F^(f*g*x))^(3*n)*(F^(e*g))^(3*n)*b^3/(f*g*n*log(F))","A",0
43,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3/(d*x+c),x, algorithm=""maxima"")","{\left(F^{e g}\right)}^{3 \, n} b^{3} \int \frac{{\left(F^{f g x}\right)}^{3 \, n}}{d x + c}\,{d x} + 3 \, {\left(F^{e g}\right)}^{2 \, n} a b^{2} \int \frac{{\left(F^{f g x}\right)}^{2 \, n}}{d x + c}\,{d x} + 3 \, {\left(F^{e g}\right)}^{n} a^{2} b \int \frac{{\left(F^{f g x}\right)}^{n}}{d x + c}\,{d x} + \frac{a^{3} \log\left(d x + c\right)}{d}"," ",0,"(F^(e*g))^(3*n)*b^3*integrate((F^(f*g*x))^(3*n)/(d*x + c), x) + 3*(F^(e*g))^(2*n)*a*b^2*integrate((F^(f*g*x))^(2*n)/(d*x + c), x) + 3*(F^(e*g))^n*a^2*b*integrate((F^(f*g*x))^n/(d*x + c), x) + a^3*log(d*x + c)/d","F",0
44,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3/(d*x+c)^2,x, algorithm=""maxima"")","{\left(F^{e g}\right)}^{3 \, n} b^{3} \int \frac{{\left(F^{f g x}\right)}^{3 \, n}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} + 3 \, {\left(F^{e g}\right)}^{2 \, n} a b^{2} \int \frac{{\left(F^{f g x}\right)}^{2 \, n}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} + 3 \, {\left(F^{e g}\right)}^{n} a^{2} b \int \frac{{\left(F^{f g x}\right)}^{n}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} - \frac{a^{3}}{d^{2} x + c d}"," ",0,"(F^(e*g))^(3*n)*b^3*integrate((F^(f*g*x))^(3*n)/(d^2*x^2 + 2*c*d*x + c^2), x) + 3*(F^(e*g))^(2*n)*a*b^2*integrate((F^(f*g*x))^(2*n)/(d^2*x^2 + 2*c*d*x + c^2), x) + 3*(F^(e*g))^n*a^2*b*integrate((F^(f*g*x))^n/(d^2*x^2 + 2*c*d*x + c^2), x) - a^3/(d^2*x + c*d)","F",0
45,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3/(d*x+c)^3,x, algorithm=""maxima"")","{\left(F^{e g}\right)}^{3 \, n} b^{3} \int \frac{{\left(F^{f g x}\right)}^{3 \, n}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\,{d x} + 3 \, {\left(F^{e g}\right)}^{2 \, n} a b^{2} \int \frac{{\left(F^{f g x}\right)}^{2 \, n}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\,{d x} + 3 \, {\left(F^{e g}\right)}^{n} a^{2} b \int \frac{{\left(F^{f g x}\right)}^{n}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\,{d x} - \frac{a^{3}}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d\right)}}"," ",0,"(F^(e*g))^(3*n)*b^3*integrate((F^(f*g*x))^(3*n)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x) + 3*(F^(e*g))^(2*n)*a*b^2*integrate((F^(f*g*x))^(2*n)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x) + 3*(F^(e*g))^n*a^2*b*integrate((F^(f*g*x))^n/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x) - 1/2*a^3/(d^3*x^2 + 2*c*d^2*x + c^2*d)","F",0
46,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*(F^(g*(f*x+e)))^n),x, algorithm=""maxima"")","-c^{3} {\left(\frac{\log\left({\left(F^{f g x + e g}\right)}^{n} b + a\right)}{a f g n \log\left(F\right)} - \frac{\log\left({\left(F^{f g x + e g}\right)}^{n}\right)}{a f g n \log\left(F\right)}\right)} + \int \frac{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x}{{\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} b + a}\,{d x}"," ",0,"-c^3*(log((F^(f*g*x + e*g))^n*b + a)/(a*f*g*n*log(F)) - log((F^(f*g*x + e*g))^n)/(a*f*g*n*log(F))) + integrate((d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x)/((F^(f*g*x))^n*(F^(e*g))^n*b + a), x)","F",0
47,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*(F^(g*(f*x+e)))^n),x, algorithm=""maxima"")","-c^{2} {\left(\frac{\log\left({\left(F^{f g x + e g}\right)}^{n} b + a\right)}{a f g n \log\left(F\right)} - \frac{\log\left({\left(F^{f g x + e g}\right)}^{n}\right)}{a f g n \log\left(F\right)}\right)} + \int \frac{d^{2} x^{2} + 2 \, c d x}{{\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} b + a}\,{d x}"," ",0,"-c^2*(log((F^(f*g*x + e*g))^n*b + a)/(a*f*g*n*log(F)) - log((F^(f*g*x + e*g))^n)/(a*f*g*n*log(F))) + integrate((d^2*x^2 + 2*c*d*x)/((F^(f*g*x))^n*(F^(e*g))^n*b + a), x)","F",0
48,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*(F^(g*(f*x+e)))^n),x, algorithm=""maxima"")","-c {\left(\frac{\log\left({\left(F^{f g x + e g}\right)}^{n} b + a\right)}{a f g n \log\left(F\right)} - \frac{\log\left({\left(F^{f g x + e g}\right)}^{n}\right)}{a f g n \log\left(F\right)}\right)} + d \int \frac{x}{{\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} b + a}\,{d x}"," ",0,"-c*(log((F^(f*g*x + e*g))^n*b + a)/(a*f*g*n*log(F)) - log((F^(f*g*x + e*g))^n)/(a*f*g*n*log(F))) + d*integrate(x/((F^(f*g*x))^n*(F^(e*g))^n*b + a), x)","F",0
49,1,66,0,1.144081," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n),x, algorithm=""maxima"")","-\frac{\log\left({\left(F^{f g x + e g}\right)}^{n} b + a\right)}{a f g n \log\left(F\right)} + \frac{\log\left({\left(F^{f g x + e g}\right)}^{n}\right)}{a f g n \log\left(F\right)}"," ",0,"-log((F^(f*g*x + e*g))^n*b + a)/(a*f*g*n*log(F)) + log((F^(f*g*x + e*g))^n)/(a*f*g*n*log(F))","A",0
50,0,0,0,0.000000," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)/(d*x+c),x, algorithm=""maxima"")","\int \frac{1}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/(((F^((f*x + e)*g))^n*b + a)*(d*x + c)), x)","F",0
51,0,0,0,0.000000," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{1}{{\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)} {\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(1/(((F^((f*x + e)*g))^n*b + a)*(d*x + c)^2), x)","F",0
52,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*(F^(g*(f*x+e)))^n)^2,x, algorithm=""maxima"")","c^{3} {\left(\frac{1}{{\left({\left(F^{f g x + e g}\right)}^{n} a b n + a^{2} n\right)} f g \log\left(F\right)} + \frac{\log\left(F^{f g x + e g}\right)}{a^{2} f g \log\left(F\right)} - \frac{\log\left(\frac{{\left(F^{f g x + e g}\right)}^{n} b + a}{b}\right)}{a^{2} f g n \log\left(F\right)}\right)} + \frac{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x}{{\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a b f g n \log\left(F\right) + a^{2} f g n \log\left(F\right)} + \int \frac{d^{3} f g n x^{3} \log\left(F\right) - 3 \, c^{2} d + 3 \, {\left(c d^{2} f g n \log\left(F\right) - d^{3}\right)} x^{2} + 3 \, {\left(c^{2} d f g n \log\left(F\right) - 2 \, c d^{2}\right)} x}{{\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a b f g n \log\left(F\right) + a^{2} f g n \log\left(F\right)}\,{d x}"," ",0,"c^3*(1/(((F^(f*g*x + e*g))^n*a*b*n + a^2*n)*f*g*log(F)) + log(F^(f*g*x + e*g))/(a^2*f*g*log(F)) - log(((F^(f*g*x + e*g))^n*b + a)/b)/(a^2*f*g*n*log(F))) + (d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x)/((F^(f*g*x))^n*(F^(e*g))^n*a*b*f*g*n*log(F) + a^2*f*g*n*log(F)) + integrate((d^3*f*g*n*x^3*log(F) - 3*c^2*d + 3*(c*d^2*f*g*n*log(F) - d^3)*x^2 + 3*(c^2*d*f*g*n*log(F) - 2*c*d^2)*x)/((F^(f*g*x))^n*(F^(e*g))^n*a*b*f*g*n*log(F) + a^2*f*g*n*log(F)), x)","F",0
53,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*(F^(g*(f*x+e)))^n)^2,x, algorithm=""maxima"")","c^{2} {\left(\frac{1}{{\left({\left(F^{f g x + e g}\right)}^{n} a b n + a^{2} n\right)} f g \log\left(F\right)} + \frac{\log\left(F^{f g x + e g}\right)}{a^{2} f g \log\left(F\right)} - \frac{\log\left(\frac{{\left(F^{f g x + e g}\right)}^{n} b + a}{b}\right)}{a^{2} f g n \log\left(F\right)}\right)} + \frac{d^{2} x^{2} + 2 \, c d x}{{\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a b f g n \log\left(F\right) + a^{2} f g n \log\left(F\right)} + \int \frac{d^{2} f g n x^{2} \log\left(F\right) - 2 \, c d + 2 \, {\left(c d f g n \log\left(F\right) - d^{2}\right)} x}{{\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a b f g n \log\left(F\right) + a^{2} f g n \log\left(F\right)}\,{d x}"," ",0,"c^2*(1/(((F^(f*g*x + e*g))^n*a*b*n + a^2*n)*f*g*log(F)) + log(F^(f*g*x + e*g))/(a^2*f*g*log(F)) - log(((F^(f*g*x + e*g))^n*b + a)/b)/(a^2*f*g*n*log(F))) + (d^2*x^2 + 2*c*d*x)/((F^(f*g*x))^n*(F^(e*g))^n*a*b*f*g*n*log(F) + a^2*f*g*n*log(F)) + integrate((d^2*f*g*n*x^2*log(F) - 2*c*d + 2*(c*d*f*g*n*log(F) - d^2)*x)/((F^(f*g*x))^n*(F^(e*g))^n*a*b*f*g*n*log(F) + a^2*f*g*n*log(F)), x)","F",0
54,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*(F^(g*(f*x+e)))^n)^2,x, algorithm=""maxima"")","d {\left(\frac{x}{{\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a b f g n \log\left(F\right) + a^{2} f g n \log\left(F\right)} + \int \frac{f g n x \log\left(F\right) - 1}{{\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a b f g n \log\left(F\right) + a^{2} f g n \log\left(F\right)}\,{d x}\right)} + c {\left(\frac{1}{{\left({\left(F^{f g x + e g}\right)}^{n} a b n + a^{2} n\right)} f g \log\left(F\right)} + \frac{\log\left(F^{f g x + e g}\right)}{a^{2} f g \log\left(F\right)} - \frac{\log\left(\frac{{\left(F^{f g x + e g}\right)}^{n} b + a}{b}\right)}{a^{2} f g n \log\left(F\right)}\right)}"," ",0,"d*(x/((F^(f*g*x))^n*(F^(e*g))^n*a*b*f*g*n*log(F) + a^2*f*g*n*log(F)) + integrate((f*g*n*x*log(F) - 1)/((F^(f*g*x))^n*(F^(e*g))^n*a*b*f*g*n*log(F) + a^2*f*g*n*log(F)), x)) + c*(1/(((F^(f*g*x + e*g))^n*a*b*n + a^2*n)*f*g*log(F)) + log(F^(f*g*x + e*g))/(a^2*f*g*log(F)) - log(((F^(f*g*x + e*g))^n*b + a)/b)/(a^2*f*g*n*log(F)))","F",0
55,1,100,0,1.190012," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)^2,x, algorithm=""maxima"")","\frac{1}{{\left({\left(F^{f g x + e g}\right)}^{n} a b n + a^{2} n\right)} f g \log\left(F\right)} + \frac{\log\left(F^{f g x + e g}\right)}{a^{2} f g \log\left(F\right)} - \frac{\log\left(\frac{{\left(F^{f g x + e g}\right)}^{n} b + a}{b}\right)}{a^{2} f g n \log\left(F\right)}"," ",0,"1/(((F^(f*g*x + e*g))^n*a*b*n + a^2*n)*f*g*log(F)) + log(F^(f*g*x + e*g))/(a^2*f*g*log(F)) - log(((F^(f*g*x + e*g))^n*b + a)/b)/(a^2*f*g*n*log(F))","A",0
56,0,0,0,0.000000," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)^2/(d*x+c),x, algorithm=""maxima"")","\frac{1}{a^{2} d f g n x \log\left(F\right) + a^{2} c f g n \log\left(F\right) + {\left({\left(F^{e g}\right)}^{n} a b d f g n x \log\left(F\right) + {\left(F^{e g}\right)}^{n} a b c f g n \log\left(F\right)\right)} {\left(F^{f g x}\right)}^{n}} + \int \frac{d f g n x \log\left(F\right) + c f g n \log\left(F\right) + d}{a^{2} d^{2} f g n x^{2} \log\left(F\right) + 2 \, a^{2} c d f g n x \log\left(F\right) + a^{2} c^{2} f g n \log\left(F\right) + {\left({\left(F^{e g}\right)}^{n} a b d^{2} f g n x^{2} \log\left(F\right) + 2 \, {\left(F^{e g}\right)}^{n} a b c d f g n x \log\left(F\right) + {\left(F^{e g}\right)}^{n} a b c^{2} f g n \log\left(F\right)\right)} {\left(F^{f g x}\right)}^{n}}\,{d x}"," ",0,"1/(a^2*d*f*g*n*x*log(F) + a^2*c*f*g*n*log(F) + ((F^(e*g))^n*a*b*d*f*g*n*x*log(F) + (F^(e*g))^n*a*b*c*f*g*n*log(F))*(F^(f*g*x))^n) + integrate((d*f*g*n*x*log(F) + c*f*g*n*log(F) + d)/(a^2*d^2*f*g*n*x^2*log(F) + 2*a^2*c*d*f*g*n*x*log(F) + a^2*c^2*f*g*n*log(F) + ((F^(e*g))^n*a*b*d^2*f*g*n*x^2*log(F) + 2*(F^(e*g))^n*a*b*c*d*f*g*n*x*log(F) + (F^(e*g))^n*a*b*c^2*f*g*n*log(F))*(F^(f*g*x))^n), x)","F",0
57,0,0,0,0.000000," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)^2/(d*x+c)^2,x, algorithm=""maxima"")","\frac{1}{a^{2} d^{2} f g n x^{2} \log\left(F\right) + 2 \, a^{2} c d f g n x \log\left(F\right) + a^{2} c^{2} f g n \log\left(F\right) + {\left({\left(F^{e g}\right)}^{n} a b d^{2} f g n x^{2} \log\left(F\right) + 2 \, {\left(F^{e g}\right)}^{n} a b c d f g n x \log\left(F\right) + {\left(F^{e g}\right)}^{n} a b c^{2} f g n \log\left(F\right)\right)} {\left(F^{f g x}\right)}^{n}} + \int \frac{d f g n x \log\left(F\right) + c f g n \log\left(F\right) + 2 \, d}{a^{2} d^{3} f g n x^{3} \log\left(F\right) + 3 \, a^{2} c d^{2} f g n x^{2} \log\left(F\right) + 3 \, a^{2} c^{2} d f g n x \log\left(F\right) + a^{2} c^{3} f g n \log\left(F\right) + {\left({\left(F^{e g}\right)}^{n} a b d^{3} f g n x^{3} \log\left(F\right) + 3 \, {\left(F^{e g}\right)}^{n} a b c d^{2} f g n x^{2} \log\left(F\right) + 3 \, {\left(F^{e g}\right)}^{n} a b c^{2} d f g n x \log\left(F\right) + {\left(F^{e g}\right)}^{n} a b c^{3} f g n \log\left(F\right)\right)} {\left(F^{f g x}\right)}^{n}}\,{d x}"," ",0,"1/(a^2*d^2*f*g*n*x^2*log(F) + 2*a^2*c*d*f*g*n*x*log(F) + a^2*c^2*f*g*n*log(F) + ((F^(e*g))^n*a*b*d^2*f*g*n*x^2*log(F) + 2*(F^(e*g))^n*a*b*c*d*f*g*n*x*log(F) + (F^(e*g))^n*a*b*c^2*f*g*n*log(F))*(F^(f*g*x))^n) + integrate((d*f*g*n*x*log(F) + c*f*g*n*log(F) + 2*d)/(a^2*d^3*f*g*n*x^3*log(F) + 3*a^2*c*d^2*f*g*n*x^2*log(F) + 3*a^2*c^2*d*f*g*n*x*log(F) + a^2*c^3*f*g*n*log(F) + ((F^(e*g))^n*a*b*d^3*f*g*n*x^3*log(F) + 3*(F^(e*g))^n*a*b*c*d^2*f*g*n*x^2*log(F) + 3*(F^(e*g))^n*a*b*c^2*d*f*g*n*x*log(F) + (F^(e*g))^n*a*b*c^3*f*g*n*log(F))*(F^(f*g*x))^n), x)","F",0
58,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*(F^(g*(f*x+e)))^n)^3,x, algorithm=""maxima"")","\frac{1}{2} \, c^{3} {\left(\frac{2 \, {\left(F^{f g x + e g}\right)}^{n} b + 3 \, a}{{\left(2 \, {\left(F^{f g x + e g}\right)}^{n} a^{3} b n + {\left(F^{f g x + e g}\right)}^{2 \, n} a^{2} b^{2} n + a^{4} n\right)} f g \log\left(F\right)} + \frac{2 \, \log\left(F^{f g x + e g}\right)}{a^{3} f g \log\left(F\right)} - \frac{2 \, \log\left(\frac{{\left(F^{f g x + e g}\right)}^{n} b + a}{b}\right)}{a^{3} f g n \log\left(F\right)}\right)} + \frac{3 \, a d^{3} f g n x^{3} \log\left(F\right) - 3 \, a c^{2} d + 3 \, {\left(3 \, a c d^{2} f g n \log\left(F\right) - a d^{3}\right)} x^{2} + {\left(2 \, {\left(F^{e g}\right)}^{n} b d^{3} f g n x^{3} \log\left(F\right) - 3 \, {\left(F^{e g}\right)}^{n} b c^{2} d + 3 \, {\left(2 \, {\left(F^{e g}\right)}^{n} b c d^{2} f g n \log\left(F\right) - {\left(F^{e g}\right)}^{n} b d^{3}\right)} x^{2} + 6 \, {\left({\left(F^{e g}\right)}^{n} b c^{2} d f g n \log\left(F\right) - {\left(F^{e g}\right)}^{n} b c d^{2}\right)} x\right)} {\left(F^{f g x}\right)}^{n} + 3 \, {\left(3 \, a c^{2} d f g n \log\left(F\right) - 2 \, a c d^{2}\right)} x}{2 \, {\left(2 \, {\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a^{3} b f^{2} g^{2} n^{2} \log\left(F\right)^{2} + {\left(F^{f g x}\right)}^{2 \, n} {\left(F^{e g}\right)}^{2 \, n} a^{2} b^{2} f^{2} g^{2} n^{2} \log\left(F\right)^{2} + a^{4} f^{2} g^{2} n^{2} \log\left(F\right)^{2}\right)}} + \int \frac{2 \, d^{3} f^{2} g^{2} n^{2} x^{3} \log\left(F\right)^{2} - 9 \, c^{2} d f g n \log\left(F\right) + 6 \, c d^{2} + 3 \, {\left(2 \, c d^{2} f^{2} g^{2} n^{2} \log\left(F\right)^{2} - 3 \, d^{3} f g n \log\left(F\right)\right)} x^{2} + 6 \, {\left(c^{2} d f^{2} g^{2} n^{2} \log\left(F\right)^{2} - 3 \, c d^{2} f g n \log\left(F\right) + d^{3}\right)} x}{2 \, {\left({\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a^{2} b f^{2} g^{2} n^{2} \log\left(F\right)^{2} + a^{3} f^{2} g^{2} n^{2} \log\left(F\right)^{2}\right)}}\,{d x}"," ",0,"1/2*c^3*((2*(F^(f*g*x + e*g))^n*b + 3*a)/((2*(F^(f*g*x + e*g))^n*a^3*b*n + (F^(f*g*x + e*g))^(2*n)*a^2*b^2*n + a^4*n)*f*g*log(F)) + 2*log(F^(f*g*x + e*g))/(a^3*f*g*log(F)) - 2*log(((F^(f*g*x + e*g))^n*b + a)/b)/(a^3*f*g*n*log(F))) + 1/2*(3*a*d^3*f*g*n*x^3*log(F) - 3*a*c^2*d + 3*(3*a*c*d^2*f*g*n*log(F) - a*d^3)*x^2 + (2*(F^(e*g))^n*b*d^3*f*g*n*x^3*log(F) - 3*(F^(e*g))^n*b*c^2*d + 3*(2*(F^(e*g))^n*b*c*d^2*f*g*n*log(F) - (F^(e*g))^n*b*d^3)*x^2 + 6*((F^(e*g))^n*b*c^2*d*f*g*n*log(F) - (F^(e*g))^n*b*c*d^2)*x)*(F^(f*g*x))^n + 3*(3*a*c^2*d*f*g*n*log(F) - 2*a*c*d^2)*x)/(2*(F^(f*g*x))^n*(F^(e*g))^n*a^3*b*f^2*g^2*n^2*log(F)^2 + (F^(f*g*x))^(2*n)*(F^(e*g))^(2*n)*a^2*b^2*f^2*g^2*n^2*log(F)^2 + a^4*f^2*g^2*n^2*log(F)^2) + integrate(1/2*(2*d^3*f^2*g^2*n^2*x^3*log(F)^2 - 9*c^2*d*f*g*n*log(F) + 6*c*d^2 + 3*(2*c*d^2*f^2*g^2*n^2*log(F)^2 - 3*d^3*f*g*n*log(F))*x^2 + 6*(c^2*d*f^2*g^2*n^2*log(F)^2 - 3*c*d^2*f*g*n*log(F) + d^3)*x)/((F^(f*g*x))^n*(F^(e*g))^n*a^2*b*f^2*g^2*n^2*log(F)^2 + a^3*f^2*g^2*n^2*log(F)^2), x)","F",0
59,0,0,0,0.000000," ","integrate((d*x+c)^2/(a+b*(F^(g*(f*x+e)))^n)^3,x, algorithm=""maxima"")","\frac{1}{2} \, c^{2} {\left(\frac{2 \, {\left(F^{f g x + e g}\right)}^{n} b + 3 \, a}{{\left(2 \, {\left(F^{f g x + e g}\right)}^{n} a^{3} b n + {\left(F^{f g x + e g}\right)}^{2 \, n} a^{2} b^{2} n + a^{4} n\right)} f g \log\left(F\right)} + \frac{2 \, \log\left(F^{f g x + e g}\right)}{a^{3} f g \log\left(F\right)} - \frac{2 \, \log\left(\frac{{\left(F^{f g x + e g}\right)}^{n} b + a}{b}\right)}{a^{3} f g n \log\left(F\right)}\right)} + \frac{3 \, a d^{2} f g n x^{2} \log\left(F\right) - 2 \, a c d + 2 \, {\left({\left(F^{e g}\right)}^{n} b d^{2} f g n x^{2} \log\left(F\right) - {\left(F^{e g}\right)}^{n} b c d + {\left(2 \, {\left(F^{e g}\right)}^{n} b c d f g n \log\left(F\right) - {\left(F^{e g}\right)}^{n} b d^{2}\right)} x\right)} {\left(F^{f g x}\right)}^{n} + 2 \, {\left(3 \, a c d f g n \log\left(F\right) - a d^{2}\right)} x}{2 \, {\left(2 \, {\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a^{3} b f^{2} g^{2} n^{2} \log\left(F\right)^{2} + {\left(F^{f g x}\right)}^{2 \, n} {\left(F^{e g}\right)}^{2 \, n} a^{2} b^{2} f^{2} g^{2} n^{2} \log\left(F\right)^{2} + a^{4} f^{2} g^{2} n^{2} \log\left(F\right)^{2}\right)}} + \int \frac{d^{2} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} - 3 \, c d f g n \log\left(F\right) + d^{2} + {\left(2 \, c d f^{2} g^{2} n^{2} \log\left(F\right)^{2} - 3 \, d^{2} f g n \log\left(F\right)\right)} x}{{\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a^{2} b f^{2} g^{2} n^{2} \log\left(F\right)^{2} + a^{3} f^{2} g^{2} n^{2} \log\left(F\right)^{2}}\,{d x}"," ",0,"1/2*c^2*((2*(F^(f*g*x + e*g))^n*b + 3*a)/((2*(F^(f*g*x + e*g))^n*a^3*b*n + (F^(f*g*x + e*g))^(2*n)*a^2*b^2*n + a^4*n)*f*g*log(F)) + 2*log(F^(f*g*x + e*g))/(a^3*f*g*log(F)) - 2*log(((F^(f*g*x + e*g))^n*b + a)/b)/(a^3*f*g*n*log(F))) + 1/2*(3*a*d^2*f*g*n*x^2*log(F) - 2*a*c*d + 2*((F^(e*g))^n*b*d^2*f*g*n*x^2*log(F) - (F^(e*g))^n*b*c*d + (2*(F^(e*g))^n*b*c*d*f*g*n*log(F) - (F^(e*g))^n*b*d^2)*x)*(F^(f*g*x))^n + 2*(3*a*c*d*f*g*n*log(F) - a*d^2)*x)/(2*(F^(f*g*x))^n*(F^(e*g))^n*a^3*b*f^2*g^2*n^2*log(F)^2 + (F^(f*g*x))^(2*n)*(F^(e*g))^(2*n)*a^2*b^2*f^2*g^2*n^2*log(F)^2 + a^4*f^2*g^2*n^2*log(F)^2) + integrate((d^2*f^2*g^2*n^2*x^2*log(F)^2 - 3*c*d*f*g*n*log(F) + d^2 + (2*c*d*f^2*g^2*n^2*log(F)^2 - 3*d^2*f*g*n*log(F))*x)/((F^(f*g*x))^n*(F^(e*g))^n*a^2*b*f^2*g^2*n^2*log(F)^2 + a^3*f^2*g^2*n^2*log(F)^2), x)","F",0
60,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*(F^(g*(f*x+e)))^n)^3,x, algorithm=""maxima"")","\frac{1}{2} \, d {\left(\frac{3 \, a f g n x \log\left(F\right) + {\left(2 \, {\left(F^{e g}\right)}^{n} b f g n x \log\left(F\right) - {\left(F^{e g}\right)}^{n} b\right)} {\left(F^{f g x}\right)}^{n} - a}{2 \, {\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a^{3} b f^{2} g^{2} n^{2} \log\left(F\right)^{2} + {\left(F^{f g x}\right)}^{2 \, n} {\left(F^{e g}\right)}^{2 \, n} a^{2} b^{2} f^{2} g^{2} n^{2} \log\left(F\right)^{2} + a^{4} f^{2} g^{2} n^{2} \log\left(F\right)^{2}} + 2 \, \int \frac{2 \, f g n x \log\left(F\right) - 3}{2 \, {\left({\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a^{2} b f g n \log\left(F\right) + a^{3} f g n \log\left(F\right)\right)}}\,{d x}\right)} + \frac{1}{2} \, c {\left(\frac{2 \, {\left(F^{f g x + e g}\right)}^{n} b + 3 \, a}{{\left(2 \, {\left(F^{f g x + e g}\right)}^{n} a^{3} b n + {\left(F^{f g x + e g}\right)}^{2 \, n} a^{2} b^{2} n + a^{4} n\right)} f g \log\left(F\right)} + \frac{2 \, \log\left(F^{f g x + e g}\right)}{a^{3} f g \log\left(F\right)} - \frac{2 \, \log\left(\frac{{\left(F^{f g x + e g}\right)}^{n} b + a}{b}\right)}{a^{3} f g n \log\left(F\right)}\right)}"," ",0,"1/2*d*((3*a*f*g*n*x*log(F) + (2*(F^(e*g))^n*b*f*g*n*x*log(F) - (F^(e*g))^n*b)*(F^(f*g*x))^n - a)/(2*(F^(f*g*x))^n*(F^(e*g))^n*a^3*b*f^2*g^2*n^2*log(F)^2 + (F^(f*g*x))^(2*n)*(F^(e*g))^(2*n)*a^2*b^2*f^2*g^2*n^2*log(F)^2 + a^4*f^2*g^2*n^2*log(F)^2) + 2*integrate(1/2*(2*f*g*n*x*log(F) - 3)/((F^(f*g*x))^n*(F^(e*g))^n*a^2*b*f*g*n*log(F) + a^3*f*g*n*log(F)), x)) + 1/2*c*((2*(F^(f*g*x + e*g))^n*b + 3*a)/((2*(F^(f*g*x + e*g))^n*a^3*b*n + (F^(f*g*x + e*g))^(2*n)*a^2*b^2*n + a^4*n)*f*g*log(F)) + 2*log(F^(f*g*x + e*g))/(a^3*f*g*log(F)) - 2*log(((F^(f*g*x + e*g))^n*b + a)/b)/(a^3*f*g*n*log(F)))","F",0
61,1,145,0,1.216429," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(F^{f g x + e g}\right)}^{n} b + 3 \, a}{2 \, {\left(2 \, {\left(F^{f g x + e g}\right)}^{n} a^{3} b n + {\left(F^{f g x + e g}\right)}^{2 \, n} a^{2} b^{2} n + a^{4} n\right)} f g \log\left(F\right)} + \frac{\log\left(F^{f g x + e g}\right)}{a^{3} f g \log\left(F\right)} - \frac{\log\left(\frac{{\left(F^{f g x + e g}\right)}^{n} b + a}{b}\right)}{a^{3} f g n \log\left(F\right)}"," ",0,"1/2*(2*(F^(f*g*x + e*g))^n*b + 3*a)/((2*(F^(f*g*x + e*g))^n*a^3*b*n + (F^(f*g*x + e*g))^(2*n)*a^2*b^2*n + a^4*n)*f*g*log(F)) + log(F^(f*g*x + e*g))/(a^3*f*g*log(F)) - log(((F^(f*g*x + e*g))^n*b + a)/b)/(a^3*f*g*n*log(F))","A",0
62,0,0,0,0.000000," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)^3/(d*x+c),x, algorithm=""maxima"")","\frac{3 \, a d f g n x \log\left(F\right) + 3 \, a c f g n \log\left(F\right) + {\left(2 \, {\left(F^{e g}\right)}^{n} b d f g n x \log\left(F\right) + 2 \, {\left(F^{e g}\right)}^{n} b c f g n \log\left(F\right) + {\left(F^{e g}\right)}^{n} b d\right)} {\left(F^{f g x}\right)}^{n} + a d}{2 \, {\left(a^{4} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 2 \, a^{4} c d f^{2} g^{2} n^{2} x \log\left(F\right)^{2} + a^{4} c^{2} f^{2} g^{2} n^{2} \log\left(F\right)^{2} + {\left({\left(F^{e g}\right)}^{2 \, n} a^{2} b^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 2 \, {\left(F^{e g}\right)}^{2 \, n} a^{2} b^{2} c d f^{2} g^{2} n^{2} x \log\left(F\right)^{2} + {\left(F^{e g}\right)}^{2 \, n} a^{2} b^{2} c^{2} f^{2} g^{2} n^{2} \log\left(F\right)^{2}\right)} {\left(F^{f g x}\right)}^{2 \, n} + 2 \, {\left({\left(F^{e g}\right)}^{n} a^{3} b d^{2} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 2 \, {\left(F^{e g}\right)}^{n} a^{3} b c d f^{2} g^{2} n^{2} x \log\left(F\right)^{2} + {\left(F^{e g}\right)}^{n} a^{3} b c^{2} f^{2} g^{2} n^{2} \log\left(F\right)^{2}\right)} {\left(F^{f g x}\right)}^{n}\right)}} + \int \frac{2 \, d^{2} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 2 \, c^{2} f^{2} g^{2} n^{2} \log\left(F\right)^{2} + 3 \, c d f g n \log\left(F\right) + 2 \, d^{2} + {\left(4 \, c d f^{2} g^{2} n^{2} \log\left(F\right)^{2} + 3 \, d^{2} f g n \log\left(F\right)\right)} x}{2 \, {\left(a^{3} d^{3} f^{2} g^{2} n^{2} x^{3} \log\left(F\right)^{2} + 3 \, a^{3} c d^{2} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 3 \, a^{3} c^{2} d f^{2} g^{2} n^{2} x \log\left(F\right)^{2} + a^{3} c^{3} f^{2} g^{2} n^{2} \log\left(F\right)^{2} + {\left({\left(F^{e g}\right)}^{n} a^{2} b d^{3} f^{2} g^{2} n^{2} x^{3} \log\left(F\right)^{2} + 3 \, {\left(F^{e g}\right)}^{n} a^{2} b c d^{2} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 3 \, {\left(F^{e g}\right)}^{n} a^{2} b c^{2} d f^{2} g^{2} n^{2} x \log\left(F\right)^{2} + {\left(F^{e g}\right)}^{n} a^{2} b c^{3} f^{2} g^{2} n^{2} \log\left(F\right)^{2}\right)} {\left(F^{f g x}\right)}^{n}\right)}}\,{d x}"," ",0,"1/2*(3*a*d*f*g*n*x*log(F) + 3*a*c*f*g*n*log(F) + (2*(F^(e*g))^n*b*d*f*g*n*x*log(F) + 2*(F^(e*g))^n*b*c*f*g*n*log(F) + (F^(e*g))^n*b*d)*(F^(f*g*x))^n + a*d)/(a^4*d^2*f^2*g^2*n^2*x^2*log(F)^2 + 2*a^4*c*d*f^2*g^2*n^2*x*log(F)^2 + a^4*c^2*f^2*g^2*n^2*log(F)^2 + ((F^(e*g))^(2*n)*a^2*b^2*d^2*f^2*g^2*n^2*x^2*log(F)^2 + 2*(F^(e*g))^(2*n)*a^2*b^2*c*d*f^2*g^2*n^2*x*log(F)^2 + (F^(e*g))^(2*n)*a^2*b^2*c^2*f^2*g^2*n^2*log(F)^2)*(F^(f*g*x))^(2*n) + 2*((F^(e*g))^n*a^3*b*d^2*f^2*g^2*n^2*x^2*log(F)^2 + 2*(F^(e*g))^n*a^3*b*c*d*f^2*g^2*n^2*x*log(F)^2 + (F^(e*g))^n*a^3*b*c^2*f^2*g^2*n^2*log(F)^2)*(F^(f*g*x))^n) + integrate(1/2*(2*d^2*f^2*g^2*n^2*x^2*log(F)^2 + 2*c^2*f^2*g^2*n^2*log(F)^2 + 3*c*d*f*g*n*log(F) + 2*d^2 + (4*c*d*f^2*g^2*n^2*log(F)^2 + 3*d^2*f*g*n*log(F))*x)/(a^3*d^3*f^2*g^2*n^2*x^3*log(F)^2 + 3*a^3*c*d^2*f^2*g^2*n^2*x^2*log(F)^2 + 3*a^3*c^2*d*f^2*g^2*n^2*x*log(F)^2 + a^3*c^3*f^2*g^2*n^2*log(F)^2 + ((F^(e*g))^n*a^2*b*d^3*f^2*g^2*n^2*x^3*log(F)^2 + 3*(F^(e*g))^n*a^2*b*c*d^2*f^2*g^2*n^2*x^2*log(F)^2 + 3*(F^(e*g))^n*a^2*b*c^2*d*f^2*g^2*n^2*x*log(F)^2 + (F^(e*g))^n*a^2*b*c^3*f^2*g^2*n^2*log(F)^2)*(F^(f*g*x))^n), x)","F",0
63,0,0,0,0.000000," ","integrate(1/(a+b*(F^(g*(f*x+e)))^n)^3/(d*x+c)^2,x, algorithm=""maxima"")","\frac{3 \, a d f g n x \log\left(F\right) + 3 \, a c f g n \log\left(F\right) + 2 \, {\left({\left(F^{e g}\right)}^{n} b d f g n x \log\left(F\right) + {\left(F^{e g}\right)}^{n} b c f g n \log\left(F\right) + {\left(F^{e g}\right)}^{n} b d\right)} {\left(F^{f g x}\right)}^{n} + 2 \, a d}{2 \, {\left(a^{4} d^{3} f^{2} g^{2} n^{2} x^{3} \log\left(F\right)^{2} + 3 \, a^{4} c d^{2} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 3 \, a^{4} c^{2} d f^{2} g^{2} n^{2} x \log\left(F\right)^{2} + a^{4} c^{3} f^{2} g^{2} n^{2} \log\left(F\right)^{2} + {\left({\left(F^{e g}\right)}^{2 \, n} a^{2} b^{2} d^{3} f^{2} g^{2} n^{2} x^{3} \log\left(F\right)^{2} + 3 \, {\left(F^{e g}\right)}^{2 \, n} a^{2} b^{2} c d^{2} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 3 \, {\left(F^{e g}\right)}^{2 \, n} a^{2} b^{2} c^{2} d f^{2} g^{2} n^{2} x \log\left(F\right)^{2} + {\left(F^{e g}\right)}^{2 \, n} a^{2} b^{2} c^{3} f^{2} g^{2} n^{2} \log\left(F\right)^{2}\right)} {\left(F^{f g x}\right)}^{2 \, n} + 2 \, {\left({\left(F^{e g}\right)}^{n} a^{3} b d^{3} f^{2} g^{2} n^{2} x^{3} \log\left(F\right)^{2} + 3 \, {\left(F^{e g}\right)}^{n} a^{3} b c d^{2} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 3 \, {\left(F^{e g}\right)}^{n} a^{3} b c^{2} d f^{2} g^{2} n^{2} x \log\left(F\right)^{2} + {\left(F^{e g}\right)}^{n} a^{3} b c^{3} f^{2} g^{2} n^{2} \log\left(F\right)^{2}\right)} {\left(F^{f g x}\right)}^{n}\right)}} + \int \frac{d^{2} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + c^{2} f^{2} g^{2} n^{2} \log\left(F\right)^{2} + 3 \, c d f g n \log\left(F\right) + 3 \, d^{2} + {\left(2 \, c d f^{2} g^{2} n^{2} \log\left(F\right)^{2} + 3 \, d^{2} f g n \log\left(F\right)\right)} x}{a^{3} d^{4} f^{2} g^{2} n^{2} x^{4} \log\left(F\right)^{2} + 4 \, a^{3} c d^{3} f^{2} g^{2} n^{2} x^{3} \log\left(F\right)^{2} + 6 \, a^{3} c^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 4 \, a^{3} c^{3} d f^{2} g^{2} n^{2} x \log\left(F\right)^{2} + a^{3} c^{4} f^{2} g^{2} n^{2} \log\left(F\right)^{2} + {\left({\left(F^{e g}\right)}^{n} a^{2} b d^{4} f^{2} g^{2} n^{2} x^{4} \log\left(F\right)^{2} + 4 \, {\left(F^{e g}\right)}^{n} a^{2} b c d^{3} f^{2} g^{2} n^{2} x^{3} \log\left(F\right)^{2} + 6 \, {\left(F^{e g}\right)}^{n} a^{2} b c^{2} d^{2} f^{2} g^{2} n^{2} x^{2} \log\left(F\right)^{2} + 4 \, {\left(F^{e g}\right)}^{n} a^{2} b c^{3} d f^{2} g^{2} n^{2} x \log\left(F\right)^{2} + {\left(F^{e g}\right)}^{n} a^{2} b c^{4} f^{2} g^{2} n^{2} \log\left(F\right)^{2}\right)} {\left(F^{f g x}\right)}^{n}}\,{d x}"," ",0,"1/2*(3*a*d*f*g*n*x*log(F) + 3*a*c*f*g*n*log(F) + 2*((F^(e*g))^n*b*d*f*g*n*x*log(F) + (F^(e*g))^n*b*c*f*g*n*log(F) + (F^(e*g))^n*b*d)*(F^(f*g*x))^n + 2*a*d)/(a^4*d^3*f^2*g^2*n^2*x^3*log(F)^2 + 3*a^4*c*d^2*f^2*g^2*n^2*x^2*log(F)^2 + 3*a^4*c^2*d*f^2*g^2*n^2*x*log(F)^2 + a^4*c^3*f^2*g^2*n^2*log(F)^2 + ((F^(e*g))^(2*n)*a^2*b^2*d^3*f^2*g^2*n^2*x^3*log(F)^2 + 3*(F^(e*g))^(2*n)*a^2*b^2*c*d^2*f^2*g^2*n^2*x^2*log(F)^2 + 3*(F^(e*g))^(2*n)*a^2*b^2*c^2*d*f^2*g^2*n^2*x*log(F)^2 + (F^(e*g))^(2*n)*a^2*b^2*c^3*f^2*g^2*n^2*log(F)^2)*(F^(f*g*x))^(2*n) + 2*((F^(e*g))^n*a^3*b*d^3*f^2*g^2*n^2*x^3*log(F)^2 + 3*(F^(e*g))^n*a^3*b*c*d^2*f^2*g^2*n^2*x^2*log(F)^2 + 3*(F^(e*g))^n*a^3*b*c^2*d*f^2*g^2*n^2*x*log(F)^2 + (F^(e*g))^n*a^3*b*c^3*f^2*g^2*n^2*log(F)^2)*(F^(f*g*x))^n) + integrate((d^2*f^2*g^2*n^2*x^2*log(F)^2 + c^2*f^2*g^2*n^2*log(F)^2 + 3*c*d*f*g*n*log(F) + 3*d^2 + (2*c*d*f^2*g^2*n^2*log(F)^2 + 3*d^2*f*g*n*log(F))*x)/(a^3*d^4*f^2*g^2*n^2*x^4*log(F)^2 + 4*a^3*c*d^3*f^2*g^2*n^2*x^3*log(F)^2 + 6*a^3*c^2*d^2*f^2*g^2*n^2*x^2*log(F)^2 + 4*a^3*c^3*d*f^2*g^2*n^2*x*log(F)^2 + a^3*c^4*f^2*g^2*n^2*log(F)^2 + ((F^(e*g))^n*a^2*b*d^4*f^2*g^2*n^2*x^4*log(F)^2 + 4*(F^(e*g))^n*a^2*b*c*d^3*f^2*g^2*n^2*x^3*log(F)^2 + 6*(F^(e*g))^n*a^2*b*c^2*d^2*f^2*g^2*n^2*x^2*log(F)^2 + 4*(F^(e*g))^n*a^2*b*c^3*d*f^2*g^2*n^2*x*log(F)^2 + (F^(e*g))^n*a^2*b*c^4*f^2*g^2*n^2*log(F)^2)*(F^(f*g*x))^n), x)","F",0
64,1,82,0,1.173373," ","integrate((a+b*exp(x))*(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(d x + c\right)}^{\frac{3}{2}} a - 3 \, {\left(\frac{\sqrt{\pi} d \operatorname{erf}\left(\sqrt{d x + c} \sqrt{-\frac{1}{d}}\right) e^{\left(-\frac{c}{d}\right)}}{\sqrt{-\frac{1}{d}}} - 2 \, \sqrt{d x + c} d e^{\left(\frac{d x + c}{d} - \frac{c}{d}\right)}\right)} b}{6 \, d}"," ",0,"1/6*(4*(d*x + c)^(3/2)*a - 3*(sqrt(pi)*d*erf(sqrt(d*x + c)*sqrt(-1/d))*e^(-c/d)/sqrt(-1/d) - 2*sqrt(d*x + c)*d*e^((d*x + c)/d - c/d))*b)/d","A",0
65,1,160,0,2.485409," ","integrate((a+b*exp(x))^2*(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{16 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} - 24 \, {\left(\frac{\sqrt{\pi} d \operatorname{erf}\left(\sqrt{d x + c} \sqrt{-\frac{1}{d}}\right) e^{\left(-\frac{c}{d}\right)}}{\sqrt{-\frac{1}{d}}} - 2 \, \sqrt{d x + c} d e^{\left(\frac{d x + c}{d} - \frac{c}{d}\right)}\right)} a b - 3 \, {\left(\frac{\sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(\sqrt{2} \sqrt{d x + c} \sqrt{-\frac{1}{d}}\right) e^{\left(-\frac{2 \, c}{d}\right)}}{\sqrt{-\frac{1}{d}}} - 4 \, \sqrt{d x + c} d e^{\left(\frac{2 \, {\left(d x + c\right)}}{d} - \frac{2 \, c}{d}\right)}\right)} b^{2}}{24 \, d}"," ",0,"1/24*(16*(d*x + c)^(3/2)*a^2 - 24*(sqrt(pi)*d*erf(sqrt(d*x + c)*sqrt(-1/d))*e^(-c/d)/sqrt(-1/d) - 2*sqrt(d*x + c)*d*e^((d*x + c)/d - c/d))*a*b - 3*(sqrt(2)*sqrt(pi)*d*erf(sqrt(2)*sqrt(d*x + c)*sqrt(-1/d))*e^(-2*c/d)/sqrt(-1/d) - 4*sqrt(d*x + c)*d*e^(2*(d*x + c)/d - 2*c/d))*b^2)/d","A",0
66,1,238,0,2.415447," ","integrate((a+b*exp(x))^3*(d*x+c)^(1/2),x, algorithm=""maxima"")","\frac{48 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{3} - 108 \, {\left(\frac{\sqrt{\pi} d \operatorname{erf}\left(\sqrt{d x + c} \sqrt{-\frac{1}{d}}\right) e^{\left(-\frac{c}{d}\right)}}{\sqrt{-\frac{1}{d}}} - 2 \, \sqrt{d x + c} d e^{\left(\frac{d x + c}{d} - \frac{c}{d}\right)}\right)} a^{2} b - 27 \, {\left(\frac{\sqrt{2} \sqrt{\pi} d \operatorname{erf}\left(\sqrt{2} \sqrt{d x + c} \sqrt{-\frac{1}{d}}\right) e^{\left(-\frac{2 \, c}{d}\right)}}{\sqrt{-\frac{1}{d}}} - 4 \, \sqrt{d x + c} d e^{\left(\frac{2 \, {\left(d x + c\right)}}{d} - \frac{2 \, c}{d}\right)}\right)} a b^{2} - 4 \, {\left(\frac{\sqrt{3} \sqrt{\pi} d \operatorname{erf}\left(\sqrt{3} \sqrt{d x + c} \sqrt{-\frac{1}{d}}\right) e^{\left(-\frac{3 \, c}{d}\right)}}{\sqrt{-\frac{1}{d}}} - 6 \, \sqrt{d x + c} d e^{\left(\frac{3 \, {\left(d x + c\right)}}{d} - \frac{3 \, c}{d}\right)}\right)} b^{3}}{72 \, d}"," ",0,"1/72*(48*(d*x + c)^(3/2)*a^3 - 108*(sqrt(pi)*d*erf(sqrt(d*x + c)*sqrt(-1/d))*e^(-c/d)/sqrt(-1/d) - 2*sqrt(d*x + c)*d*e^((d*x + c)/d - c/d))*a^2*b - 27*(sqrt(2)*sqrt(pi)*d*erf(sqrt(2)*sqrt(d*x + c)*sqrt(-1/d))*e^(-2*c/d)/sqrt(-1/d) - 4*sqrt(d*x + c)*d*e^(2*(d*x + c)/d - 2*c/d))*a*b^2 - 4*(sqrt(3)*sqrt(pi)*d*erf(sqrt(3)*sqrt(d*x + c)*sqrt(-1/d))*e^(-3*c/d)/sqrt(-1/d) - 6*sqrt(d*x + c)*d*e^(3*(d*x + c)/d - 3*c/d))*b^3)/d","A",0
67,0,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(a+b*exp(x)),x, algorithm=""maxima"")","\int \frac{\sqrt{d x + c}}{b e^{x} + a}\,{d x}"," ",0,"integrate(sqrt(d*x + c)/(b*e^x + a), x)","F",0
68,0,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(a+b*exp(x))^2,x, algorithm=""maxima"")","\int \frac{\sqrt{d x + c}}{{\left(b e^{x} + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x + c)/(b*e^x + a)^2, x)","F",0
69,0,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(a+b*exp(x))^3,x, algorithm=""maxima"")","\int \frac{\sqrt{d x + c}}{{\left(b e^{x} + a\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(d*x + c)/(b*e^x + a)^3, x)","F",0
70,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^3*(d*x+c)^m,x, algorithm=""maxima"")","{\left(F^{e g}\right)}^{3 \, n} b^{3} \int e^{\left(m \log\left(d x + c\right) + 3 \, n \log\left(F^{f g x}\right)\right)}\,{d x} + 3 \, {\left(F^{e g}\right)}^{2 \, n} a b^{2} \int e^{\left(m \log\left(d x + c\right) + 2 \, n \log\left(F^{f g x}\right)\right)}\,{d x} + 3 \, {\left(F^{e g}\right)}^{n} a^{2} b \int e^{\left(m \log\left(d x + c\right) + n \log\left(F^{f g x}\right)\right)}\,{d x} + \frac{{\left(d x + c\right)}^{m + 1} a^{3}}{d {\left(m + 1\right)}}"," ",0,"(F^(e*g))^(3*n)*b^3*integrate(e^(m*log(d*x + c) + 3*n*log(F^(f*g*x))), x) + 3*(F^(e*g))^(2*n)*a*b^2*integrate(e^(m*log(d*x + c) + 2*n*log(F^(f*g*x))), x) + 3*(F^(e*g))^n*a^2*b*integrate(e^(m*log(d*x + c) + n*log(F^(f*g*x))), x) + (d*x + c)^(m + 1)*a^3/(d*(m + 1))","F",0
71,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^2*(d*x+c)^m,x, algorithm=""maxima"")","{\left(F^{e g}\right)}^{2 \, n} b^{2} \int e^{\left(m \log\left(d x + c\right) + 2 \, n \log\left(F^{f g x}\right)\right)}\,{d x} + 2 \, {\left(F^{e g}\right)}^{n} a b \int e^{\left(m \log\left(d x + c\right) + n \log\left(F^{f g x}\right)\right)}\,{d x} + \frac{{\left(d x + c\right)}^{m + 1} a^{2}}{d {\left(m + 1\right)}}"," ",0,"(F^(e*g))^(2*n)*b^2*integrate(e^(m*log(d*x + c) + 2*n*log(F^(f*g*x))), x) + 2*(F^(e*g))^n*a*b*integrate(e^(m*log(d*x + c) + n*log(F^(f*g*x))), x) + (d*x + c)^(m + 1)*a^2/(d*(m + 1))","F",0
72,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)*(d*x+c)^m,x, algorithm=""maxima"")","{\left(F^{e g}\right)}^{n} b \int e^{\left(m \log\left(d x + c\right) + n \log\left(F^{f g x}\right)\right)}\,{d x} + \frac{{\left(d x + c\right)}^{m + 1} a}{d {\left(m + 1\right)}}"," ",0,"(F^(e*g))^n*b*integrate(e^(m*log(d*x + c) + n*log(F^(f*g*x))), x) + (d*x + c)^(m + 1)*a/(d*(m + 1))","F",0
73,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+b*(F^(g*(f*x+e)))^n),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{m}}{{\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)^m/((F^((f*x + e)*g))^n*b + a), x)","F",0
74,0,0,0,0.000000," ","integrate((d*x+c)^m/(a+b*(F^(g*(f*x+e)))^n)^2,x, algorithm=""maxima"")","\frac{{\left(d x + c\right)}^{m}}{{\left(F^{f g x}\right)}^{n} {\left(F^{e g}\right)}^{n} a b f g n \log\left(F\right) + a^{2} f g n \log\left(F\right)} + \int \frac{{\left(d f g n x \log\left(F\right) + c f g n \log\left(F\right) - d m\right)} {\left(d x + c\right)}^{m}}{a^{2} d f g n x \log\left(F\right) + a^{2} c f g n \log\left(F\right) + {\left({\left(F^{e g}\right)}^{n} a b d f g n x \log\left(F\right) + {\left(F^{e g}\right)}^{n} a b c f g n \log\left(F\right)\right)} {\left(F^{f g x}\right)}^{n}}\,{d x}"," ",0,"(d*x + c)^m/((F^(f*g*x))^n*(F^(e*g))^n*a*b*f*g*n*log(F) + a^2*f*g*n*log(F)) + integrate((d*f*g*n*x*log(F) + c*f*g*n*log(F) - d*m)*(d*x + c)^m/(a^2*d*f*g*n*x*log(F) + a^2*c*f*g*n*log(F) + ((F^(e*g))^n*a*b*d*f*g*n*x*log(F) + (F^(e*g))^n*a*b*c*f*g*n*log(F))*(F^(f*g*x))^n), x)","F",0
75,0,0,0,0.000000," ","integrate((a+b*(F^(g*(f*x+e)))^n)^p*(d*x+c)^m,x, algorithm=""maxima"")","\int {\left({\left(F^{{\left(f x + e\right)} g}\right)}^{n} b + a\right)}^{p} {\left(d x + c\right)}^{m}\,{d x}"," ",0,"integrate(((F^((f*x + e)*g))^n*b + a)^p*(d*x + c)^m, x)","F",0
76,1,133,0,0.481701," ","integrate(F^(d*x+c)*x^3/(a+b*F^(d*x+c)),x, algorithm=""maxima"")","\frac{x^{4}}{4 \, b} - \frac{\log\left(F^{d x}\right)^{4}}{4 \, b d^{4} \log\left(F\right)^{4}} + \frac{\log\left(\frac{F^{d x} F^{c} b}{a} + 1\right) \log\left(F^{d x}\right)^{3} + 3 \, {\rm Li}_2\left(-\frac{F^{d x} F^{c} b}{a}\right) \log\left(F^{d x}\right)^{2} - 6 \, \log\left(F^{d x}\right) {\rm Li}_{3}(-\frac{F^{d x} F^{c} b}{a}) + 6 \, {\rm Li}_{4}(-\frac{F^{d x} F^{c} b}{a})}{b d^{4} \log\left(F\right)^{4}}"," ",0,"1/4*x^4/b - 1/4*log(F^(d*x))^4/(b*d^4*log(F)^4) + (log(F^(d*x)*F^c*b/a + 1)*log(F^(d*x))^3 + 3*dilog(-F^(d*x)*F^c*b/a)*log(F^(d*x))^2 - 6*log(F^(d*x))*polylog(3, -F^(d*x)*F^c*b/a) + 6*polylog(4, -F^(d*x)*F^c*b/a))/(b*d^4*log(F)^4)","A",0
77,1,107,0,0.485373," ","integrate(F^(d*x+c)*x^2/(a+b*F^(d*x+c)),x, algorithm=""maxima"")","\frac{x^{3}}{3 \, b} - \frac{\log\left(F^{d x}\right)^{3}}{3 \, b d^{3} \log\left(F\right)^{3}} + \frac{\log\left(\frac{F^{d x} F^{c} b}{a} + 1\right) \log\left(F^{d x}\right)^{2} + 2 \, {\rm Li}_2\left(-\frac{F^{d x} F^{c} b}{a}\right) \log\left(F^{d x}\right) - 2 \, {\rm Li}_{3}(-\frac{F^{d x} F^{c} b}{a})}{b d^{3} \log\left(F\right)^{3}}"," ",0,"1/3*x^3/b - 1/3*log(F^(d*x))^3/(b*d^3*log(F)^3) + (log(F^(d*x)*F^c*b/a + 1)*log(F^(d*x))^2 + 2*dilog(-F^(d*x)*F^c*b/a)*log(F^(d*x)) - 2*polylog(3, -F^(d*x)*F^c*b/a))/(b*d^3*log(F)^3)","A",0
78,1,79,0,0.481411," ","integrate(F^(d*x+c)*x/(a+b*F^(d*x+c)),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, b} - \frac{\log\left(F^{d x}\right)^{2}}{2 \, b d^{2} \log\left(F\right)^{2}} + \frac{\log\left(\frac{F^{d x} F^{c} b}{a} + 1\right) \log\left(F^{d x}\right) + {\rm Li}_2\left(-\frac{F^{d x} F^{c} b}{a}\right)}{b d^{2} \log\left(F\right)^{2}}"," ",0,"1/2*x^2/b - 1/2*log(F^(d*x))^2/(b*d^2*log(F)^2) + (log(F^(d*x)*F^c*b/a + 1)*log(F^(d*x)) + dilog(-F^(d*x)*F^c*b/a))/(b*d^2*log(F)^2)","A",0
79,1,23,0,0.428554," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c)),x, algorithm=""maxima"")","\frac{\log\left(F^{d x + c} b + a\right)}{b d \log\left(F\right)}"," ",0,"log(F^(d*x + c)*b + a)/(b*d*log(F))","A",0
80,0,0,0,0.000000," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))/x,x, algorithm=""maxima"")","-a \int \frac{1}{F^{d x} F^{c} b^{2} x + a b x}\,{d x} + \frac{\log\left(x\right)}{b}"," ",0,"-a*integrate(1/(F^(d*x)*F^c*b^2*x + a*b*x), x) + log(x)/b","F",0
81,0,0,0,0.000000," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))/x^2,x, algorithm=""maxima"")","-a \int \frac{1}{F^{d x} F^{c} b^{2} x^{2} + a b x^{2}}\,{d x} - \frac{1}{b x}"," ",0,"-a*integrate(1/(F^(d*x)*F^c*b^2*x^2 + a*b*x^2), x) - 1/(b*x)","F",0
82,1,134,0,0.523540," ","integrate(F^(d*x+c)*x^3/(a+b*F^(d*x+c))^2,x, algorithm=""maxima"")","-\frac{x^{3}}{F^{d x} F^{c} b^{2} d \log\left(F\right) + a b d \log\left(F\right)} + \frac{\log\left(F^{d x}\right)^{3}}{a b d^{4} \log\left(F\right)^{4}} - \frac{3 \, {\left(\log\left(\frac{F^{d x} F^{c} b}{a} + 1\right) \log\left(F^{d x}\right)^{2} + 2 \, {\rm Li}_2\left(-\frac{F^{d x} F^{c} b}{a}\right) \log\left(F^{d x}\right) - 2 \, {\rm Li}_{3}(-\frac{F^{d x} F^{c} b}{a})\right)}}{a b d^{4} \log\left(F\right)^{4}}"," ",0,"-x^3/(F^(d*x)*F^c*b^2*d*log(F) + a*b*d*log(F)) + log(F^(d*x))^3/(a*b*d^4*log(F)^4) - 3*(log(F^(d*x)*F^c*b/a + 1)*log(F^(d*x))^2 + 2*dilog(-F^(d*x)*F^c*b/a)*log(F^(d*x)) - 2*polylog(3, -F^(d*x)*F^c*b/a))/(a*b*d^4*log(F)^4)","A",0
83,1,106,0,0.498095," ","integrate(F^(d*x+c)*x^2/(a+b*F^(d*x+c))^2,x, algorithm=""maxima"")","-\frac{x^{2}}{F^{d x} F^{c} b^{2} d \log\left(F\right) + a b d \log\left(F\right)} + \frac{\log\left(F^{d x}\right)^{2}}{a b d^{3} \log\left(F\right)^{3}} - \frac{2 \, {\left(\log\left(\frac{F^{d x} F^{c} b}{a} + 1\right) \log\left(F^{d x}\right) + {\rm Li}_2\left(-\frac{F^{d x} F^{c} b}{a}\right)\right)}}{a b d^{3} \log\left(F\right)^{3}}"," ",0,"-x^2/(F^(d*x)*F^c*b^2*d*log(F) + a*b*d*log(F)) + log(F^(d*x))^2/(a*b*d^3*log(F)^3) - 2*(log(F^(d*x)*F^c*b/a + 1)*log(F^(d*x)) + dilog(-F^(d*x)*F^c*b/a))/(a*b*d^3*log(F)^3)","A",0
84,1,72,0,0.469970," ","integrate(F^(d*x+c)*x/(a+b*F^(d*x+c))^2,x, algorithm=""maxima"")","\frac{F^{d x} F^{c} x}{F^{d x} F^{c} a b d \log\left(F\right) + a^{2} d \log\left(F\right)} - \frac{\log\left(\frac{F^{d x} F^{c} b + a}{F^{c} b}\right)}{a b d^{2} \log\left(F\right)^{2}}"," ",0,"F^(d*x)*F^c*x/(F^(d*x)*F^c*a*b*d*log(F) + a^2*d*log(F)) - log((F^(d*x)*F^c*b + a)/(F^c*b))/(a*b*d^2*log(F)^2)","A",0
85,1,25,0,0.429185," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))^2,x, algorithm=""maxima"")","-\frac{1}{{\left(F^{d x + c} b + a\right)} b d \log\left(F\right)}"," ",0,"-1/((F^(d*x + c)*b + a)*b*d*log(F))","A",0
86,0,0,0,0.000000," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))^2/x,x, algorithm=""maxima"")","-\frac{1}{F^{d x} F^{c} b^{2} d x \log\left(F\right) + a b d x \log\left(F\right)} - \int \frac{1}{F^{d x} F^{c} b^{2} d x^{2} \log\left(F\right) + a b d x^{2} \log\left(F\right)}\,{d x}"," ",0,"-1/(F^(d*x)*F^c*b^2*d*x*log(F) + a*b*d*x*log(F)) - integrate(1/(F^(d*x)*F^c*b^2*d*x^2*log(F) + a*b*d*x^2*log(F)), x)","F",0
87,0,0,0,0.000000," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))^2/x^2,x, algorithm=""maxima"")","-\frac{1}{F^{d x} F^{c} b^{2} d x^{2} \log\left(F\right) + a b d x^{2} \log\left(F\right)} - 2 \, \int \frac{1}{F^{d x} F^{c} b^{2} d x^{3} \log\left(F\right) + a b d x^{3} \log\left(F\right)}\,{d x}"," ",0,"-1/(F^(d*x)*F^c*b^2*d*x^2*log(F) + a*b*d*x^2*log(F)) - 2*integrate(1/(F^(d*x)*F^c*b^2*d*x^3*log(F) + a*b*d*x^3*log(F)), x)","F",0
88,1,263,0,0.525284," ","integrate(F^(d*x+c)*x^3/(a+b*F^(d*x+c))^3,x, algorithm=""maxima"")","-\frac{a d x^{3} \log\left(F\right) - 3 \, F^{d x} F^{c} b x^{2} - 3 \, a x^{2}}{2 \, {\left(2 \, F^{d x} F^{c} a^{2} b^{2} d^{2} \log\left(F\right)^{2} + F^{2 \, d x} F^{2 \, c} a b^{3} d^{2} \log\left(F\right)^{2} + a^{3} b d^{2} \log\left(F\right)^{2}\right)}} - \frac{3 \, {\left(\log\left(\frac{F^{d x} F^{c} b}{a} + 1\right) \log\left(F^{d x}\right)^{2} + 2 \, {\rm Li}_2\left(-\frac{F^{d x} F^{c} b}{a}\right) \log\left(F^{d x}\right) - 2 \, {\rm Li}_{3}(-\frac{F^{d x} F^{c} b}{a})\right)}}{2 \, a^{2} b d^{4} \log\left(F\right)^{4}} + \frac{\log\left(F^{d x}\right)^{3} - 3 \, \log\left(F^{d x}\right)^{2}}{2 \, a^{2} b d^{4} \log\left(F\right)^{4}} + \frac{3 \, {\left(\log\left(\frac{F^{d x} F^{c} b}{a} + 1\right) \log\left(F^{d x}\right) + {\rm Li}_2\left(-\frac{F^{d x} F^{c} b}{a}\right)\right)}}{a^{2} b d^{4} \log\left(F\right)^{4}}"," ",0,"-1/2*(a*d*x^3*log(F) - 3*F^(d*x)*F^c*b*x^2 - 3*a*x^2)/(2*F^(d*x)*F^c*a^2*b^2*d^2*log(F)^2 + F^(2*d*x)*F^(2*c)*a*b^3*d^2*log(F)^2 + a^3*b*d^2*log(F)^2) - 3/2*(log(F^(d*x)*F^c*b/a + 1)*log(F^(d*x))^2 + 2*dilog(-F^(d*x)*F^c*b/a)*log(F^(d*x)) - 2*polylog(3, -F^(d*x)*F^c*b/a))/(a^2*b*d^4*log(F)^4) + 1/2*(log(F^(d*x))^3 - 3*log(F^(d*x))^2)/(a^2*b*d^4*log(F)^4) + 3*(log(F^(d*x)*F^c*b/a + 1)*log(F^(d*x)) + dilog(-F^(d*x)*F^c*b/a))/(a^2*b*d^4*log(F)^4)","A",0
89,1,214,0,0.509678," ","integrate(F^(d*x+c)*x^2/(a+b*F^(d*x+c))^3,x, algorithm=""maxima"")","-\frac{a d x^{2} \log\left(F\right) - 2 \, F^{d x} F^{c} b x - 2 \, a x}{2 \, {\left(2 \, F^{d x} F^{c} a^{2} b^{2} d^{2} \log\left(F\right)^{2} + F^{2 \, d x} F^{2 \, c} a b^{3} d^{2} \log\left(F\right)^{2} + a^{3} b d^{2} \log\left(F\right)^{2}\right)}} + \frac{\log\left(F^{d x}\right)^{2}}{2 \, a^{2} b d^{3} \log\left(F\right)^{3}} - \frac{\log\left(\frac{F^{d x} F^{c} b}{a} + 1\right) \log\left(F^{d x}\right) + {\rm Li}_2\left(-\frac{F^{d x} F^{c} b}{a}\right)}{a^{2} b d^{3} \log\left(F\right)^{3}} + \frac{\log\left(F^{d x} F^{c} b + a\right)}{a^{2} b d^{3} \log\left(F\right)^{3}} - \frac{\log\left(F^{d x}\right)}{a^{2} b d^{3} \log\left(F\right)^{3}}"," ",0,"-1/2*(a*d*x^2*log(F) - 2*F^(d*x)*F^c*b*x - 2*a*x)/(2*F^(d*x)*F^c*a^2*b^2*d^2*log(F)^2 + F^(2*d*x)*F^(2*c)*a*b^3*d^2*log(F)^2 + a^3*b*d^2*log(F)^2) + 1/2*log(F^(d*x))^2/(a^2*b*d^3*log(F)^3) - (log(F^(d*x)*F^c*b/a + 1)*log(F^(d*x)) + dilog(-F^(d*x)*F^c*b/a))/(a^2*b*d^3*log(F)^3) + log(F^(d*x)*F^c*b + a)/(a^2*b*d^3*log(F)^3) - log(F^(d*x))/(a^2*b*d^3*log(F)^3)","A",0
90,1,150,0,0.481542," ","integrate(F^(d*x+c)*x/(a+b*F^(d*x+c))^3,x, algorithm=""maxima"")","\frac{F^{2 \, d x} F^{2 \, c} b^{2} d x \log\left(F\right) + {\left(2 \, F^{c} a b d x \log\left(F\right) + F^{c} a b\right)} F^{d x} + a^{2}}{2 \, {\left(2 \, F^{d x} F^{c} a^{3} b^{2} d^{2} \log\left(F\right)^{2} + F^{2 \, d x} F^{2 \, c} a^{2} b^{3} d^{2} \log\left(F\right)^{2} + a^{4} b d^{2} \log\left(F\right)^{2}\right)}} - \frac{\log\left(\frac{F^{d x} F^{c} b + a}{F^{c} b}\right)}{2 \, a^{2} b d^{2} \log\left(F\right)^{2}}"," ",0,"1/2*(F^(2*d*x)*F^(2*c)*b^2*d*x*log(F) + (2*F^c*a*b*d*x*log(F) + F^c*a*b)*F^(d*x) + a^2)/(2*F^(d*x)*F^c*a^3*b^2*d^2*log(F)^2 + F^(2*d*x)*F^(2*c)*a^2*b^3*d^2*log(F)^2 + a^4*b*d^2*log(F)^2) - 1/2*log((F^(d*x)*F^c*b + a)/(F^c*b))/(a^2*b*d^2*log(F)^2)","A",0
91,1,25,0,0.429101," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(F^{d x + c} b + a\right)}^{2} b d \log\left(F\right)}"," ",0,"-1/2/((F^(d*x + c)*b + a)^2*b*d*log(F))","A",0
92,0,0,0,0.000000," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))^3/x,x, algorithm=""maxima"")","-\frac{a d x \log\left(F\right) + F^{d x} F^{c} b + a}{2 \, {\left(2 \, F^{d x} F^{c} a^{2} b^{2} d^{2} x^{2} \log\left(F\right)^{2} + F^{2 \, d x} F^{2 \, c} a b^{3} d^{2} x^{2} \log\left(F\right)^{2} + a^{3} b d^{2} x^{2} \log\left(F\right)^{2}\right)}} - \int \frac{d x \log\left(F\right) + 2}{2 \, {\left(F^{d x} F^{c} a b^{2} d^{2} x^{3} \log\left(F\right)^{2} + a^{2} b d^{2} x^{3} \log\left(F\right)^{2}\right)}}\,{d x}"," ",0,"-1/2*(a*d*x*log(F) + F^(d*x)*F^c*b + a)/(2*F^(d*x)*F^c*a^2*b^2*d^2*x^2*log(F)^2 + F^(2*d*x)*F^(2*c)*a*b^3*d^2*x^2*log(F)^2 + a^3*b*d^2*x^2*log(F)^2) - integrate(1/2*(d*x*log(F) + 2)/(F^(d*x)*F^c*a*b^2*d^2*x^3*log(F)^2 + a^2*b*d^2*x^3*log(F)^2), x)","F",0
93,0,0,0,0.000000," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c))^3/x^2,x, algorithm=""maxima"")","-\frac{a d x \log\left(F\right) + 2 \, F^{d x} F^{c} b + 2 \, a}{2 \, {\left(2 \, F^{d x} F^{c} a^{2} b^{2} d^{2} x^{3} \log\left(F\right)^{2} + F^{2 \, d x} F^{2 \, c} a b^{3} d^{2} x^{3} \log\left(F\right)^{2} + a^{3} b d^{2} x^{3} \log\left(F\right)^{2}\right)}} - \int \frac{d x \log\left(F\right) + 3}{F^{d x} F^{c} a b^{2} d^{2} x^{4} \log\left(F\right)^{2} + a^{2} b d^{2} x^{4} \log\left(F\right)^{2}}\,{d x}"," ",0,"-1/2*(a*d*x*log(F) + 2*F^(d*x)*F^c*b + 2*a)/(2*F^(d*x)*F^c*a^2*b^2*d^2*x^3*log(F)^2 + F^(2*d*x)*F^(2*c)*a*b^3*d^2*x^3*log(F)^2 + a^3*b*d^2*x^3*log(F)^2) - integrate((d*x*log(F) + 3)/(F^(d*x)*F^c*a*b^2*d^2*x^4*log(F)^2 + a^2*b*d^2*x^4*log(F)^2), x)","F",0
