1,1,92,0,0.210531," ","integrate(log(c*(e*x+d))^4,x, algorithm=""giac"")","{\left(x e + d\right)} e^{\left(-1\right)} \log\left({\left(x e + d\right)} c\right)^{4} - 4 \, {\left(x e + d\right)} e^{\left(-1\right)} \log\left({\left(x e + d\right)} c\right)^{3} + 12 \, {\left(x e + d\right)} e^{\left(-1\right)} \log\left({\left(x e + d\right)} c\right)^{2} - 24 \, {\left(x e + d\right)} e^{\left(-1\right)} \log\left({\left(x e + d\right)} c\right) + 24 \, {\left(x e + d\right)} e^{\left(-1\right)}"," ",0,"(x*e + d)*e^(-1)*log((x*e + d)*c)^4 - 4*(x*e + d)*e^(-1)*log((x*e + d)*c)^3 + 12*(x*e + d)*e^(-1)*log((x*e + d)*c)^2 - 24*(x*e + d)*e^(-1)*log((x*e + d)*c) + 24*(x*e + d)*e^(-1)","A",0
2,1,71,0,0.205060," ","integrate(log(c*(e*x+d))^3,x, algorithm=""giac"")","{\left(x e + d\right)} e^{\left(-1\right)} \log\left({\left(x e + d\right)} c\right)^{3} - 3 \, {\left(x e + d\right)} e^{\left(-1\right)} \log\left({\left(x e + d\right)} c\right)^{2} + 6 \, {\left(x e + d\right)} e^{\left(-1\right)} \log\left({\left(x e + d\right)} c\right) - 6 \, {\left(x e + d\right)} e^{\left(-1\right)}"," ",0,"(x*e + d)*e^(-1)*log((x*e + d)*c)^3 - 3*(x*e + d)*e^(-1)*log((x*e + d)*c)^2 + 6*(x*e + d)*e^(-1)*log((x*e + d)*c) - 6*(x*e + d)*e^(-1)","A",0
3,1,50,0,0.199160," ","integrate(log(c*(e*x+d))^2,x, algorithm=""giac"")","{\left(x e + d\right)} e^{\left(-1\right)} \log\left({\left(x e + d\right)} c\right)^{2} - 2 \, {\left(x e + d\right)} e^{\left(-1\right)} \log\left({\left(x e + d\right)} c\right) + 2 \, {\left(x e + d\right)} e^{\left(-1\right)}"," ",0,"(x*e + d)*e^(-1)*log((x*e + d)*c)^2 - 2*(x*e + d)*e^(-1)*log((x*e + d)*c) + 2*(x*e + d)*e^(-1)","A",0
4,1,33,0,0.191523," ","integrate(log(c*(e*x+d)),x, algorithm=""giac"")","\frac{{\left({\left(x e + d\right)} c \log\left({\left(x e + d\right)} c\right) - {\left(x e + d\right)} c\right)} e^{\left(-1\right)}}{c}"," ",0,"((x*e + d)*c*log((x*e + d)*c) - (x*e + d)*c)*e^(-1)/c","A",0
5,1,16,0,0.199923," ","integrate(1/log(c*(e*x+d)),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\log\left({\left(x e + d\right)} c\right)\right) e^{\left(-1\right)}}{c}"," ",0,"Ei(log((x*e + d)*c))*e^(-1)/c","A",0
6,1,38,0,0.179374," ","integrate(1/log(c*(e*x+d))^2,x, algorithm=""giac"")","\frac{{\rm Ei}\left(\log\left({\left(x e + d\right)} c\right)\right) e^{\left(-1\right)}}{c} - \frac{{\left(x e + d\right)} e^{\left(-1\right)}}{\log\left({\left(x e + d\right)} c\right)}"," ",0,"Ei(log((x*e + d)*c))*e^(-1)/c - (x*e + d)*e^(-1)/log((x*e + d)*c)","A",0
7,1,60,0,0.231591," ","integrate(1/log(c*(e*x+d))^3,x, algorithm=""giac"")","\frac{{\rm Ei}\left(\log\left({\left(x e + d\right)} c\right)\right) e^{\left(-1\right)}}{2 \, c} - \frac{{\left(x e + d\right)} e^{\left(-1\right)}}{2 \, \log\left({\left(x e + d\right)} c\right)} - \frac{{\left(x e + d\right)} e^{\left(-1\right)}}{2 \, \log\left({\left(x e + d\right)} c\right)^{2}}"," ",0,"1/2*Ei(log((x*e + d)*c))*e^(-1)/c - 1/2*(x*e + d)*e^(-1)/log((x*e + d)*c) - 1/2*(x*e + d)*e^(-1)/log((x*e + d)*c)^2","A",0
8,1,81,0,0.194340," ","integrate(1/log(c*(e*x+d))^4,x, algorithm=""giac"")","\frac{{\rm Ei}\left(\log\left({\left(x e + d\right)} c\right)\right) e^{\left(-1\right)}}{6 \, c} - \frac{{\left(x e + d\right)} e^{\left(-1\right)}}{6 \, \log\left({\left(x e + d\right)} c\right)} - \frac{{\left(x e + d\right)} e^{\left(-1\right)}}{6 \, \log\left({\left(x e + d\right)} c\right)^{2}} - \frac{{\left(x e + d\right)} e^{\left(-1\right)}}{3 \, \log\left({\left(x e + d\right)} c\right)^{3}}"," ",0,"1/6*Ei(log((x*e + d)*c))*e^(-1)/c - 1/6*(x*e + d)*e^(-1)/log((x*e + d)*c) - 1/6*(x*e + d)*e^(-1)/log((x*e + d)*c)^2 - 1/3*(x*e + d)*e^(-1)/log((x*e + d)*c)^3","A",0
9,0,0,0,0.000000," ","integrate(log(c*(e*x+d))^(5/2),x, algorithm=""giac"")","\int \log\left({\left(e x + d\right)} c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(log((e*x + d)*c)^(5/2), x)","F",0
10,0,0,0,0.000000," ","integrate(log(c*(e*x+d))^(3/2),x, algorithm=""giac"")","\int \log\left({\left(e x + d\right)} c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(log((e*x + d)*c)^(3/2), x)","F",0
11,1,55,0,0.241501," ","integrate(log(c*(e*x+d))^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} i \operatorname{erf}\left(-i \sqrt{\log\left(c x e + c d\right)}\right) e^{\left(-1\right)}}{2 \, c} + \frac{{\left(c x e + c d\right)} e^{\left(-1\right)} \sqrt{\log\left(c x e + c d\right)}}{c}"," ",0,"-1/2*sqrt(pi)*i*erf(-i*sqrt(log(c*x*e + c*d)))*e^(-1)/c + (c*x*e + c*d)*e^(-1)*sqrt(log(c*x*e + c*d))/c","A",0
12,1,26,0,0.238599," ","integrate(1/log(c*(e*x+d))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} i \operatorname{erf}\left(-i \sqrt{\log\left(c x e + c d\right)}\right) e^{\left(-1\right)}}{c}"," ",0,"sqrt(pi)*i*erf(-i*sqrt(log(c*x*e + c*d)))*e^(-1)/c","A",0
13,0,0,0,0.000000," ","integrate(1/log(c*(e*x+d))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\log\left({\left(e x + d\right)} c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(log((e*x + d)*c)^(-3/2), x)","F",0
14,0,0,0,0.000000," ","integrate(1/log(c*(e*x+d))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\log\left({\left(e x + d\right)} c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(log((e*x + d)*c)^(-5/2), x)","F",0
15,0,0,0,0.000000," ","integrate(1/log(c*(e*x+d))^(7/2),x, algorithm=""giac"")","\int \frac{1}{\log\left({\left(e x + d\right)} c\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(log((e*x + d)*c)^(-7/2), x)","F",0
16,0,0,0,0.000000," ","integrate(log(c*(e*x+d))^p,x, algorithm=""giac"")","\int \log\left({\left(e x + d\right)} c\right)^{p}\,{d x}"," ",0,"integrate(log((e*x + d)*c)^p, x)","F",0
17,1,778,0,0.292226," ","integrate((a+b*log(c*(e*x+d)^n))^4,x, algorithm=""giac"")","{\left(x e + d\right)} b^{4} n^{4} e^{\left(-1\right)} \log\left(x e + d\right)^{4} - 4 \, {\left(x e + d\right)} b^{4} n^{4} e^{\left(-1\right)} \log\left(x e + d\right)^{3} + 4 \, {\left(x e + d\right)} b^{4} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{3} \log\left(c\right) + 12 \, {\left(x e + d\right)} b^{4} n^{4} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + 4 \, {\left(x e + d\right)} a b^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{3} - 12 \, {\left(x e + d\right)} b^{4} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + 6 \, {\left(x e + d\right)} b^{4} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right)^{2} - 24 \, {\left(x e + d\right)} b^{4} n^{4} e^{\left(-1\right)} \log\left(x e + d\right) - 12 \, {\left(x e + d\right)} a b^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + 24 \, {\left(x e + d\right)} b^{4} n^{3} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + 12 \, {\left(x e + d\right)} a b^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - 12 \, {\left(x e + d\right)} b^{4} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + 4 \, {\left(x e + d\right)} b^{4} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{3} + 24 \, {\left(x e + d\right)} b^{4} n^{4} e^{\left(-1\right)} + 24 \, {\left(x e + d\right)} a b^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} a^{2} b^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} - 24 \, {\left(x e + d\right)} b^{4} n^{3} e^{\left(-1\right)} \log\left(c\right) - 24 \, {\left(x e + d\right)} a b^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + 12 \, {\left(x e + d\right)} b^{4} n^{2} e^{\left(-1\right)} \log\left(c\right)^{2} + 12 \, {\left(x e + d\right)} a b^{3} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - 4 \, {\left(x e + d\right)} b^{4} n e^{\left(-1\right)} \log\left(c\right)^{3} + {\left(x e + d\right)} b^{4} e^{\left(-1\right)} \log\left(c\right)^{4} - 24 \, {\left(x e + d\right)} a b^{3} n^{3} e^{\left(-1\right)} - 12 \, {\left(x e + d\right)} a^{2} b^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + 24 \, {\left(x e + d\right)} a b^{3} n^{2} e^{\left(-1\right)} \log\left(c\right) + 12 \, {\left(x e + d\right)} a^{2} b^{2} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) - 12 \, {\left(x e + d\right)} a b^{3} n e^{\left(-1\right)} \log\left(c\right)^{2} + 4 \, {\left(x e + d\right)} a b^{3} e^{\left(-1\right)} \log\left(c\right)^{3} + 12 \, {\left(x e + d\right)} a^{2} b^{2} n^{2} e^{\left(-1\right)} + 4 \, {\left(x e + d\right)} a^{3} b n e^{\left(-1\right)} \log\left(x e + d\right) - 12 \, {\left(x e + d\right)} a^{2} b^{2} n e^{\left(-1\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} a^{2} b^{2} e^{\left(-1\right)} \log\left(c\right)^{2} - 4 \, {\left(x e + d\right)} a^{3} b n e^{\left(-1\right)} + 4 \, {\left(x e + d\right)} a^{3} b e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a^{4} e^{\left(-1\right)}"," ",0,"(x*e + d)*b^4*n^4*e^(-1)*log(x*e + d)^4 - 4*(x*e + d)*b^4*n^4*e^(-1)*log(x*e + d)^3 + 4*(x*e + d)*b^4*n^3*e^(-1)*log(x*e + d)^3*log(c) + 12*(x*e + d)*b^4*n^4*e^(-1)*log(x*e + d)^2 + 4*(x*e + d)*a*b^3*n^3*e^(-1)*log(x*e + d)^3 - 12*(x*e + d)*b^4*n^3*e^(-1)*log(x*e + d)^2*log(c) + 6*(x*e + d)*b^4*n^2*e^(-1)*log(x*e + d)^2*log(c)^2 - 24*(x*e + d)*b^4*n^4*e^(-1)*log(x*e + d) - 12*(x*e + d)*a*b^3*n^3*e^(-1)*log(x*e + d)^2 + 24*(x*e + d)*b^4*n^3*e^(-1)*log(x*e + d)*log(c) + 12*(x*e + d)*a*b^3*n^2*e^(-1)*log(x*e + d)^2*log(c) - 12*(x*e + d)*b^4*n^2*e^(-1)*log(x*e + d)*log(c)^2 + 4*(x*e + d)*b^4*n*e^(-1)*log(x*e + d)*log(c)^3 + 24*(x*e + d)*b^4*n^4*e^(-1) + 24*(x*e + d)*a*b^3*n^3*e^(-1)*log(x*e + d) + 6*(x*e + d)*a^2*b^2*n^2*e^(-1)*log(x*e + d)^2 - 24*(x*e + d)*b^4*n^3*e^(-1)*log(c) - 24*(x*e + d)*a*b^3*n^2*e^(-1)*log(x*e + d)*log(c) + 12*(x*e + d)*b^4*n^2*e^(-1)*log(c)^2 + 12*(x*e + d)*a*b^3*n*e^(-1)*log(x*e + d)*log(c)^2 - 4*(x*e + d)*b^4*n*e^(-1)*log(c)^3 + (x*e + d)*b^4*e^(-1)*log(c)^4 - 24*(x*e + d)*a*b^3*n^3*e^(-1) - 12*(x*e + d)*a^2*b^2*n^2*e^(-1)*log(x*e + d) + 24*(x*e + d)*a*b^3*n^2*e^(-1)*log(c) + 12*(x*e + d)*a^2*b^2*n*e^(-1)*log(x*e + d)*log(c) - 12*(x*e + d)*a*b^3*n*e^(-1)*log(c)^2 + 4*(x*e + d)*a*b^3*e^(-1)*log(c)^3 + 12*(x*e + d)*a^2*b^2*n^2*e^(-1) + 4*(x*e + d)*a^3*b*n*e^(-1)*log(x*e + d) - 12*(x*e + d)*a^2*b^2*n*e^(-1)*log(c) + 6*(x*e + d)*a^2*b^2*e^(-1)*log(c)^2 - 4*(x*e + d)*a^3*b*n*e^(-1) + 4*(x*e + d)*a^3*b*e^(-1)*log(c) + (x*e + d)*a^4*e^(-1)","B",0
18,1,409,0,0.191377," ","integrate((a+b*log(c*(e*x+d)^n))^3,x, algorithm=""giac"")","{\left(x e + d\right)} b^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{3} - 3 \, {\left(x e + d\right)} b^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + 3 \, {\left(x e + d\right)} b^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + 6 \, {\left(x e + d\right)} b^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)} a b^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} - 6 \, {\left(x e + d\right)} b^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + 3 \, {\left(x e + d\right)} b^{3} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - 6 \, {\left(x e + d\right)} b^{3} n^{3} e^{\left(-1\right)} - 6 \, {\left(x e + d\right)} a b^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} b^{3} n^{2} e^{\left(-1\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} a b^{2} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) - 3 \, {\left(x e + d\right)} b^{3} n e^{\left(-1\right)} \log\left(c\right)^{2} + {\left(x e + d\right)} b^{3} e^{\left(-1\right)} \log\left(c\right)^{3} + 6 \, {\left(x e + d\right)} a b^{2} n^{2} e^{\left(-1\right)} + 3 \, {\left(x e + d\right)} a^{2} b n e^{\left(-1\right)} \log\left(x e + d\right) - 6 \, {\left(x e + d\right)} a b^{2} n e^{\left(-1\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)} a b^{2} e^{\left(-1\right)} \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)} a^{2} b n e^{\left(-1\right)} + 3 \, {\left(x e + d\right)} a^{2} b e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a^{3} e^{\left(-1\right)}"," ",0,"(x*e + d)*b^3*n^3*e^(-1)*log(x*e + d)^3 - 3*(x*e + d)*b^3*n^3*e^(-1)*log(x*e + d)^2 + 3*(x*e + d)*b^3*n^2*e^(-1)*log(x*e + d)^2*log(c) + 6*(x*e + d)*b^3*n^3*e^(-1)*log(x*e + d) + 3*(x*e + d)*a*b^2*n^2*e^(-1)*log(x*e + d)^2 - 6*(x*e + d)*b^3*n^2*e^(-1)*log(x*e + d)*log(c) + 3*(x*e + d)*b^3*n*e^(-1)*log(x*e + d)*log(c)^2 - 6*(x*e + d)*b^3*n^3*e^(-1) - 6*(x*e + d)*a*b^2*n^2*e^(-1)*log(x*e + d) + 6*(x*e + d)*b^3*n^2*e^(-1)*log(c) + 6*(x*e + d)*a*b^2*n*e^(-1)*log(x*e + d)*log(c) - 3*(x*e + d)*b^3*n*e^(-1)*log(c)^2 + (x*e + d)*b^3*e^(-1)*log(c)^3 + 6*(x*e + d)*a*b^2*n^2*e^(-1) + 3*(x*e + d)*a^2*b*n*e^(-1)*log(x*e + d) - 6*(x*e + d)*a*b^2*n*e^(-1)*log(c) + 3*(x*e + d)*a*b^2*e^(-1)*log(c)^2 - 3*(x*e + d)*a^2*b*n*e^(-1) + 3*(x*e + d)*a^2*b*e^(-1)*log(c) + (x*e + d)*a^3*e^(-1)","B",0
19,1,178,0,0.173110," ","integrate((a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","{\left(x e + d\right)} b^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} - 2 \, {\left(x e + d\right)} b^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)} b^{2} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + 2 \, {\left(x e + d\right)} b^{2} n^{2} e^{\left(-1\right)} + 2 \, {\left(x e + d\right)} a b n e^{\left(-1\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)} b^{2} n e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} b^{2} e^{\left(-1\right)} \log\left(c\right)^{2} - 2 \, {\left(x e + d\right)} a b n e^{\left(-1\right)} + 2 \, {\left(x e + d\right)} a b e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a^{2} e^{\left(-1\right)}"," ",0,"(x*e + d)*b^2*n^2*e^(-1)*log(x*e + d)^2 - 2*(x*e + d)*b^2*n^2*e^(-1)*log(x*e + d) + 2*(x*e + d)*b^2*n*e^(-1)*log(x*e + d)*log(c) + 2*(x*e + d)*b^2*n^2*e^(-1) + 2*(x*e + d)*a*b*n*e^(-1)*log(x*e + d) - 2*(x*e + d)*b^2*n*e^(-1)*log(c) + (x*e + d)*b^2*e^(-1)*log(c)^2 - 2*(x*e + d)*a*b*n*e^(-1) + 2*(x*e + d)*a*b*e^(-1)*log(c) + (x*e + d)*a^2*e^(-1)","B",0
20,1,46,0,0.161872," ","integrate(a+b*log(c*(e*x+d)^n),x, algorithm=""giac"")","{\left({\left(x e + d\right)} n e^{\left(-1\right)} \log\left(x e + d\right) - {\left(x e + d\right)} n e^{\left(-1\right)} + {\left(x e + d\right)} e^{\left(-1\right)} \log\left(c\right)\right)} b + a x"," ",0,"((x*e + d)*n*e^(-1)*log(x*e + d) - (x*e + d)*n*e^(-1) + (x*e + d)*e^(-1)*log(c))*b + a*x","A",0
21,1,49,0,0.170022," ","integrate(1/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} - 1\right)}}{b c^{\left(\frac{1}{n}\right)} n}"," ",0,"Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) - 1)/(b*c^(1/n)*n)","A",0
22,1,307,0,0.198575," ","integrate(1/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\frac{b n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e \log\left(x e + d\right) + b^{3} n^{2} e \log\left(c\right) + a b^{2} n^{2} e\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} b n}{b^{3} n^{3} e \log\left(x e + d\right) + b^{3} n^{2} e \log\left(c\right) + a b^{2} n^{2} e} + \frac{b {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e \log\left(x e + d\right) + b^{3} n^{2} e \log\left(c\right) + a b^{2} n^{2} e\right)} c^{\left(\frac{1}{n}\right)}} + \frac{a {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)}}{{\left(b^{3} n^{3} e \log\left(x e + d\right) + b^{3} n^{2} e \log\left(c\right) + a b^{2} n^{2} e\right)} c^{\left(\frac{1}{n}\right)}}"," ",0,"b*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(x*e + d)/((b^3*n^3*e*log(x*e + d) + b^3*n^2*e*log(c) + a*b^2*n^2*e)*c^(1/n)) - (x*e + d)*b*n/(b^3*n^3*e*log(x*e + d) + b^3*n^2*e*log(c) + a*b^2*n^2*e) + b*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(c)/((b^3*n^3*e*log(x*e + d) + b^3*n^2*e*log(c) + a*b^2*n^2*e)*c^(1/n)) + a*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))/((b^3*n^3*e*log(x*e + d) + b^3*n^2*e*log(c) + a*b^2*n^2*e)*c^(1/n))","B",0
23,1,1322,0,0.265258," ","integrate(1/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""giac"")","\frac{b^{2} n^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(x e + d\right)^{2}}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} b^{2} n^{2} \log\left(x e + d\right)}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)}} + \frac{b^{2} n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(x e + d\right) \log\left(c\right)}{{\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} b^{2} n^{2}}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)}} + \frac{a b n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(x e + d\right)}{{\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} b^{2} n \log\left(c\right)}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)}} + \frac{b^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(c\right)^{2}}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} a b n}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)}} + \frac{a b {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(c\right)}{{\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)} c^{\left(\frac{1}{n}\right)}} + \frac{a^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)}}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)} c^{\left(\frac{1}{n}\right)}}"," ",0,"1/2*b^2*n^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(x*e + d)^2/((b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e)*c^(1/n)) - 1/2*(x*e + d)*b^2*n^2*log(x*e + d)/(b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e) + b^2*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(x*e + d)*log(c)/((b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e)*c^(1/n)) - 1/2*(x*e + d)*b^2*n^2/(b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e) + a*b*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(x*e + d)/((b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e)*c^(1/n)) - 1/2*(x*e + d)*b^2*n*log(c)/(b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e) + 1/2*b^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(c)^2/((b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e)*c^(1/n)) - 1/2*(x*e + d)*a*b*n/(b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e) + a*b*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(c)/((b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e)*c^(1/n)) + 1/2*a^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))/((b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e)*c^(1/n))","B",0
24,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
25,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
26,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
27,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
28,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(-3/2), x)","F",0
29,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(-5/2), x)","F",0
30,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(7/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(-7/2), x)","F",0
31,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^p, x)","F",0
32,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^(1/2)))^p,x, algorithm=""giac"")","\int {\left(b \log\left(\sqrt{e x + d} c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log(sqrt(e*x + d)*c) + a)^p, x)","F",0
33,1,23,0,0.284030," ","integrate((f*x+e)^(-1+p)/log(d*(f*x+e)^p),x, algorithm=""giac"")","\frac{{\rm Ei}\left(p \log\left(f x + e\right) + \log\left(d\right)\right)}{d f p}"," ",0,"Ei(p*log(f*x + e) + log(d))/(d*f*p)","A",0
34,0,0,0,0.000000," ","integrate((f*g*x+e*g)^(-1+p)/log(d*(f*x+e)^p),x, algorithm=""giac"")","\int \frac{{\left(f g x + e g\right)}^{p - 1}}{\log\left({\left(f x + e\right)}^{p} d\right)}\,{d x}"," ",0,"integrate((f*g*x + e*g)^(p - 1)/log((f*x + e)^p*d), x)","F",0
35,1,1224,0,0.292980," ","integrate((g*x+f)^4*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\frac{1}{5} \, {\left(x e + d\right)}^{5} b g^{4} n e^{\left(-5\right)} \log\left(x e + d\right) - {\left(x e + d\right)}^{4} b d g^{4} n e^{\left(-5\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)}^{3} b d^{2} g^{4} n e^{\left(-5\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)}^{2} b d^{3} g^{4} n e^{\left(-5\right)} \log\left(x e + d\right) + {\left(x e + d\right)} b d^{4} g^{4} n e^{\left(-5\right)} \log\left(x e + d\right) - \frac{1}{25} \, {\left(x e + d\right)}^{5} b g^{4} n e^{\left(-5\right)} + \frac{1}{4} \, {\left(x e + d\right)}^{4} b d g^{4} n e^{\left(-5\right)} - \frac{2}{3} \, {\left(x e + d\right)}^{3} b d^{2} g^{4} n e^{\left(-5\right)} + {\left(x e + d\right)}^{2} b d^{3} g^{4} n e^{\left(-5\right)} - {\left(x e + d\right)} b d^{4} g^{4} n e^{\left(-5\right)} + {\left(x e + d\right)}^{4} b f g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) - 4 \, {\left(x e + d\right)}^{3} b d f g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)}^{2} b d^{2} f g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) - 4 \, {\left(x e + d\right)} b d^{3} f g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) + \frac{1}{5} \, {\left(x e + d\right)}^{5} b g^{4} e^{\left(-5\right)} \log\left(c\right) - {\left(x e + d\right)}^{4} b d g^{4} e^{\left(-5\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)}^{3} b d^{2} g^{4} e^{\left(-5\right)} \log\left(c\right) - 2 \, {\left(x e + d\right)}^{2} b d^{3} g^{4} e^{\left(-5\right)} \log\left(c\right) + {\left(x e + d\right)} b d^{4} g^{4} e^{\left(-5\right)} \log\left(c\right) - \frac{1}{4} \, {\left(x e + d\right)}^{4} b f g^{3} n e^{\left(-4\right)} + \frac{4}{3} \, {\left(x e + d\right)}^{3} b d f g^{3} n e^{\left(-4\right)} - 3 \, {\left(x e + d\right)}^{2} b d^{2} f g^{3} n e^{\left(-4\right)} + 4 \, {\left(x e + d\right)} b d^{3} f g^{3} n e^{\left(-4\right)} + \frac{1}{5} \, {\left(x e + d\right)}^{5} a g^{4} e^{\left(-5\right)} - {\left(x e + d\right)}^{4} a d g^{4} e^{\left(-5\right)} + 2 \, {\left(x e + d\right)}^{3} a d^{2} g^{4} e^{\left(-5\right)} - 2 \, {\left(x e + d\right)}^{2} a d^{3} g^{4} e^{\left(-5\right)} + {\left(x e + d\right)} a d^{4} g^{4} e^{\left(-5\right)} + 2 \, {\left(x e + d\right)}^{3} b f^{2} g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) - 6 \, {\left(x e + d\right)}^{2} b d f^{2} g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} b d^{2} f^{2} g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + {\left(x e + d\right)}^{4} b f g^{3} e^{\left(-4\right)} \log\left(c\right) - 4 \, {\left(x e + d\right)}^{3} b d f g^{3} e^{\left(-4\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)}^{2} b d^{2} f g^{3} e^{\left(-4\right)} \log\left(c\right) - 4 \, {\left(x e + d\right)} b d^{3} f g^{3} e^{\left(-4\right)} \log\left(c\right) - \frac{2}{3} \, {\left(x e + d\right)}^{3} b f^{2} g^{2} n e^{\left(-3\right)} + 3 \, {\left(x e + d\right)}^{2} b d f^{2} g^{2} n e^{\left(-3\right)} - 6 \, {\left(x e + d\right)} b d^{2} f^{2} g^{2} n e^{\left(-3\right)} + {\left(x e + d\right)}^{4} a f g^{3} e^{\left(-4\right)} - 4 \, {\left(x e + d\right)}^{3} a d f g^{3} e^{\left(-4\right)} + 6 \, {\left(x e + d\right)}^{2} a d^{2} f g^{3} e^{\left(-4\right)} - 4 \, {\left(x e + d\right)} a d^{3} f g^{3} e^{\left(-4\right)} + 2 \, {\left(x e + d\right)}^{2} b f^{3} g n e^{\left(-2\right)} \log\left(x e + d\right) - 4 \, {\left(x e + d\right)} b d f^{3} g n e^{\left(-2\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)}^{3} b f^{2} g^{2} e^{\left(-3\right)} \log\left(c\right) - 6 \, {\left(x e + d\right)}^{2} b d f^{2} g^{2} e^{\left(-3\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} b d^{2} f^{2} g^{2} e^{\left(-3\right)} \log\left(c\right) - {\left(x e + d\right)}^{2} b f^{3} g n e^{\left(-2\right)} + 4 \, {\left(x e + d\right)} b d f^{3} g n e^{\left(-2\right)} + 2 \, {\left(x e + d\right)}^{3} a f^{2} g^{2} e^{\left(-3\right)} - 6 \, {\left(x e + d\right)}^{2} a d f^{2} g^{2} e^{\left(-3\right)} + 6 \, {\left(x e + d\right)} a d^{2} f^{2} g^{2} e^{\left(-3\right)} + {\left(x e + d\right)} b f^{4} n e^{\left(-1\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)}^{2} b f^{3} g e^{\left(-2\right)} \log\left(c\right) - 4 \, {\left(x e + d\right)} b d f^{3} g e^{\left(-2\right)} \log\left(c\right) - {\left(x e + d\right)} b f^{4} n e^{\left(-1\right)} + 2 \, {\left(x e + d\right)}^{2} a f^{3} g e^{\left(-2\right)} - 4 \, {\left(x e + d\right)} a d f^{3} g e^{\left(-2\right)} + {\left(x e + d\right)} b f^{4} e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a f^{4} e^{\left(-1\right)}"," ",0,"1/5*(x*e + d)^5*b*g^4*n*e^(-5)*log(x*e + d) - (x*e + d)^4*b*d*g^4*n*e^(-5)*log(x*e + d) + 2*(x*e + d)^3*b*d^2*g^4*n*e^(-5)*log(x*e + d) - 2*(x*e + d)^2*b*d^3*g^4*n*e^(-5)*log(x*e + d) + (x*e + d)*b*d^4*g^4*n*e^(-5)*log(x*e + d) - 1/25*(x*e + d)^5*b*g^4*n*e^(-5) + 1/4*(x*e + d)^4*b*d*g^4*n*e^(-5) - 2/3*(x*e + d)^3*b*d^2*g^4*n*e^(-5) + (x*e + d)^2*b*d^3*g^4*n*e^(-5) - (x*e + d)*b*d^4*g^4*n*e^(-5) + (x*e + d)^4*b*f*g^3*n*e^(-4)*log(x*e + d) - 4*(x*e + d)^3*b*d*f*g^3*n*e^(-4)*log(x*e + d) + 6*(x*e + d)^2*b*d^2*f*g^3*n*e^(-4)*log(x*e + d) - 4*(x*e + d)*b*d^3*f*g^3*n*e^(-4)*log(x*e + d) + 1/5*(x*e + d)^5*b*g^4*e^(-5)*log(c) - (x*e + d)^4*b*d*g^4*e^(-5)*log(c) + 2*(x*e + d)^3*b*d^2*g^4*e^(-5)*log(c) - 2*(x*e + d)^2*b*d^3*g^4*e^(-5)*log(c) + (x*e + d)*b*d^4*g^4*e^(-5)*log(c) - 1/4*(x*e + d)^4*b*f*g^3*n*e^(-4) + 4/3*(x*e + d)^3*b*d*f*g^3*n*e^(-4) - 3*(x*e + d)^2*b*d^2*f*g^3*n*e^(-4) + 4*(x*e + d)*b*d^3*f*g^3*n*e^(-4) + 1/5*(x*e + d)^5*a*g^4*e^(-5) - (x*e + d)^4*a*d*g^4*e^(-5) + 2*(x*e + d)^3*a*d^2*g^4*e^(-5) - 2*(x*e + d)^2*a*d^3*g^4*e^(-5) + (x*e + d)*a*d^4*g^4*e^(-5) + 2*(x*e + d)^3*b*f^2*g^2*n*e^(-3)*log(x*e + d) - 6*(x*e + d)^2*b*d*f^2*g^2*n*e^(-3)*log(x*e + d) + 6*(x*e + d)*b*d^2*f^2*g^2*n*e^(-3)*log(x*e + d) + (x*e + d)^4*b*f*g^3*e^(-4)*log(c) - 4*(x*e + d)^3*b*d*f*g^3*e^(-4)*log(c) + 6*(x*e + d)^2*b*d^2*f*g^3*e^(-4)*log(c) - 4*(x*e + d)*b*d^3*f*g^3*e^(-4)*log(c) - 2/3*(x*e + d)^3*b*f^2*g^2*n*e^(-3) + 3*(x*e + d)^2*b*d*f^2*g^2*n*e^(-3) - 6*(x*e + d)*b*d^2*f^2*g^2*n*e^(-3) + (x*e + d)^4*a*f*g^3*e^(-4) - 4*(x*e + d)^3*a*d*f*g^3*e^(-4) + 6*(x*e + d)^2*a*d^2*f*g^3*e^(-4) - 4*(x*e + d)*a*d^3*f*g^3*e^(-4) + 2*(x*e + d)^2*b*f^3*g*n*e^(-2)*log(x*e + d) - 4*(x*e + d)*b*d*f^3*g*n*e^(-2)*log(x*e + d) + 2*(x*e + d)^3*b*f^2*g^2*e^(-3)*log(c) - 6*(x*e + d)^2*b*d*f^2*g^2*e^(-3)*log(c) + 6*(x*e + d)*b*d^2*f^2*g^2*e^(-3)*log(c) - (x*e + d)^2*b*f^3*g*n*e^(-2) + 4*(x*e + d)*b*d*f^3*g*n*e^(-2) + 2*(x*e + d)^3*a*f^2*g^2*e^(-3) - 6*(x*e + d)^2*a*d*f^2*g^2*e^(-3) + 6*(x*e + d)*a*d^2*f^2*g^2*e^(-3) + (x*e + d)*b*f^4*n*e^(-1)*log(x*e + d) + 2*(x*e + d)^2*b*f^3*g*e^(-2)*log(c) - 4*(x*e + d)*b*d*f^3*g*e^(-2)*log(c) - (x*e + d)*b*f^4*n*e^(-1) + 2*(x*e + d)^2*a*f^3*g*e^(-2) - 4*(x*e + d)*a*d*f^3*g*e^(-2) + (x*e + d)*b*f^4*e^(-1)*log(c) + (x*e + d)*a*f^4*e^(-1)","B",0
36,1,780,0,0.219059," ","integrate((g*x+f)^3*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\frac{1}{4} \, {\left(x e + d\right)}^{4} b g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) - {\left(x e + d\right)}^{3} b d g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) + \frac{3}{2} \, {\left(x e + d\right)}^{2} b d^{2} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) - {\left(x e + d\right)} b d^{3} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) - \frac{1}{16} \, {\left(x e + d\right)}^{4} b g^{3} n e^{\left(-4\right)} + \frac{1}{3} \, {\left(x e + d\right)}^{3} b d g^{3} n e^{\left(-4\right)} - \frac{3}{4} \, {\left(x e + d\right)}^{2} b d^{2} g^{3} n e^{\left(-4\right)} + {\left(x e + d\right)} b d^{3} g^{3} n e^{\left(-4\right)} + {\left(x e + d\right)}^{3} b f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) - 3 \, {\left(x e + d\right)}^{2} b d f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)} b d^{2} f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + \frac{1}{4} \, {\left(x e + d\right)}^{4} b g^{3} e^{\left(-4\right)} \log\left(c\right) - {\left(x e + d\right)}^{3} b d g^{3} e^{\left(-4\right)} \log\left(c\right) + \frac{3}{2} \, {\left(x e + d\right)}^{2} b d^{2} g^{3} e^{\left(-4\right)} \log\left(c\right) - {\left(x e + d\right)} b d^{3} g^{3} e^{\left(-4\right)} \log\left(c\right) - \frac{1}{3} \, {\left(x e + d\right)}^{3} b f g^{2} n e^{\left(-3\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b d f g^{2} n e^{\left(-3\right)} - 3 \, {\left(x e + d\right)} b d^{2} f g^{2} n e^{\left(-3\right)} + \frac{1}{4} \, {\left(x e + d\right)}^{4} a g^{3} e^{\left(-4\right)} - {\left(x e + d\right)}^{3} a d g^{3} e^{\left(-4\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} a d^{2} g^{3} e^{\left(-4\right)} - {\left(x e + d\right)} a d^{3} g^{3} e^{\left(-4\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b f^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) - 3 \, {\left(x e + d\right)} b d f^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) + {\left(x e + d\right)}^{3} b f g^{2} e^{\left(-3\right)} \log\left(c\right) - 3 \, {\left(x e + d\right)}^{2} b d f g^{2} e^{\left(-3\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)} b d^{2} f g^{2} e^{\left(-3\right)} \log\left(c\right) - \frac{3}{4} \, {\left(x e + d\right)}^{2} b f^{2} g n e^{\left(-2\right)} + 3 \, {\left(x e + d\right)} b d f^{2} g n e^{\left(-2\right)} + {\left(x e + d\right)}^{3} a f g^{2} e^{\left(-3\right)} - 3 \, {\left(x e + d\right)}^{2} a d f g^{2} e^{\left(-3\right)} + 3 \, {\left(x e + d\right)} a d^{2} f g^{2} e^{\left(-3\right)} + {\left(x e + d\right)} b f^{3} n e^{\left(-1\right)} \log\left(x e + d\right) + \frac{3}{2} \, {\left(x e + d\right)}^{2} b f^{2} g e^{\left(-2\right)} \log\left(c\right) - 3 \, {\left(x e + d\right)} b d f^{2} g e^{\left(-2\right)} \log\left(c\right) - {\left(x e + d\right)} b f^{3} n e^{\left(-1\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} a f^{2} g e^{\left(-2\right)} - 3 \, {\left(x e + d\right)} a d f^{2} g e^{\left(-2\right)} + {\left(x e + d\right)} b f^{3} e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a f^{3} e^{\left(-1\right)}"," ",0,"1/4*(x*e + d)^4*b*g^3*n*e^(-4)*log(x*e + d) - (x*e + d)^3*b*d*g^3*n*e^(-4)*log(x*e + d) + 3/2*(x*e + d)^2*b*d^2*g^3*n*e^(-4)*log(x*e + d) - (x*e + d)*b*d^3*g^3*n*e^(-4)*log(x*e + d) - 1/16*(x*e + d)^4*b*g^3*n*e^(-4) + 1/3*(x*e + d)^3*b*d*g^3*n*e^(-4) - 3/4*(x*e + d)^2*b*d^2*g^3*n*e^(-4) + (x*e + d)*b*d^3*g^3*n*e^(-4) + (x*e + d)^3*b*f*g^2*n*e^(-3)*log(x*e + d) - 3*(x*e + d)^2*b*d*f*g^2*n*e^(-3)*log(x*e + d) + 3*(x*e + d)*b*d^2*f*g^2*n*e^(-3)*log(x*e + d) + 1/4*(x*e + d)^4*b*g^3*e^(-4)*log(c) - (x*e + d)^3*b*d*g^3*e^(-4)*log(c) + 3/2*(x*e + d)^2*b*d^2*g^3*e^(-4)*log(c) - (x*e + d)*b*d^3*g^3*e^(-4)*log(c) - 1/3*(x*e + d)^3*b*f*g^2*n*e^(-3) + 3/2*(x*e + d)^2*b*d*f*g^2*n*e^(-3) - 3*(x*e + d)*b*d^2*f*g^2*n*e^(-3) + 1/4*(x*e + d)^4*a*g^3*e^(-4) - (x*e + d)^3*a*d*g^3*e^(-4) + 3/2*(x*e + d)^2*a*d^2*g^3*e^(-4) - (x*e + d)*a*d^3*g^3*e^(-4) + 3/2*(x*e + d)^2*b*f^2*g*n*e^(-2)*log(x*e + d) - 3*(x*e + d)*b*d*f^2*g*n*e^(-2)*log(x*e + d) + (x*e + d)^3*b*f*g^2*e^(-3)*log(c) - 3*(x*e + d)^2*b*d*f*g^2*e^(-3)*log(c) + 3*(x*e + d)*b*d^2*f*g^2*e^(-3)*log(c) - 3/4*(x*e + d)^2*b*f^2*g*n*e^(-2) + 3*(x*e + d)*b*d*f^2*g*n*e^(-2) + (x*e + d)^3*a*f*g^2*e^(-3) - 3*(x*e + d)^2*a*d*f*g^2*e^(-3) + 3*(x*e + d)*a*d^2*f*g^2*e^(-3) + (x*e + d)*b*f^3*n*e^(-1)*log(x*e + d) + 3/2*(x*e + d)^2*b*f^2*g*e^(-2)*log(c) - 3*(x*e + d)*b*d*f^2*g*e^(-2)*log(c) - (x*e + d)*b*f^3*n*e^(-1) + 3/2*(x*e + d)^2*a*f^2*g*e^(-2) - 3*(x*e + d)*a*d*f^2*g*e^(-2) + (x*e + d)*b*f^3*e^(-1)*log(c) + (x*e + d)*a*f^3*e^(-1)","B",0
37,1,430,0,0.192947," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\frac{1}{3} \, {\left(x e + d\right)}^{3} b g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) - {\left(x e + d\right)}^{2} b d g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + {\left(x e + d\right)} b d^{2} g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) - \frac{1}{9} \, {\left(x e + d\right)}^{3} b g^{2} n e^{\left(-3\right)} + \frac{1}{2} \, {\left(x e + d\right)}^{2} b d g^{2} n e^{\left(-3\right)} - {\left(x e + d\right)} b d^{2} g^{2} n e^{\left(-3\right)} + {\left(x e + d\right)}^{2} b f g n e^{\left(-2\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)} b d f g n e^{\left(-2\right)} \log\left(x e + d\right) + \frac{1}{3} \, {\left(x e + d\right)}^{3} b g^{2} e^{\left(-3\right)} \log\left(c\right) - {\left(x e + d\right)}^{2} b d g^{2} e^{\left(-3\right)} \log\left(c\right) + {\left(x e + d\right)} b d^{2} g^{2} e^{\left(-3\right)} \log\left(c\right) - \frac{1}{2} \, {\left(x e + d\right)}^{2} b f g n e^{\left(-2\right)} + 2 \, {\left(x e + d\right)} b d f g n e^{\left(-2\right)} + \frac{1}{3} \, {\left(x e + d\right)}^{3} a g^{2} e^{\left(-3\right)} - {\left(x e + d\right)}^{2} a d g^{2} e^{\left(-3\right)} + {\left(x e + d\right)} a d^{2} g^{2} e^{\left(-3\right)} + {\left(x e + d\right)} b f^{2} n e^{\left(-1\right)} \log\left(x e + d\right) + {\left(x e + d\right)}^{2} b f g e^{\left(-2\right)} \log\left(c\right) - 2 \, {\left(x e + d\right)} b d f g e^{\left(-2\right)} \log\left(c\right) - {\left(x e + d\right)} b f^{2} n e^{\left(-1\right)} + {\left(x e + d\right)}^{2} a f g e^{\left(-2\right)} - 2 \, {\left(x e + d\right)} a d f g e^{\left(-2\right)} + {\left(x e + d\right)} b f^{2} e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a f^{2} e^{\left(-1\right)}"," ",0,"1/3*(x*e + d)^3*b*g^2*n*e^(-3)*log(x*e + d) - (x*e + d)^2*b*d*g^2*n*e^(-3)*log(x*e + d) + (x*e + d)*b*d^2*g^2*n*e^(-3)*log(x*e + d) - 1/9*(x*e + d)^3*b*g^2*n*e^(-3) + 1/2*(x*e + d)^2*b*d*g^2*n*e^(-3) - (x*e + d)*b*d^2*g^2*n*e^(-3) + (x*e + d)^2*b*f*g*n*e^(-2)*log(x*e + d) - 2*(x*e + d)*b*d*f*g*n*e^(-2)*log(x*e + d) + 1/3*(x*e + d)^3*b*g^2*e^(-3)*log(c) - (x*e + d)^2*b*d*g^2*e^(-3)*log(c) + (x*e + d)*b*d^2*g^2*e^(-3)*log(c) - 1/2*(x*e + d)^2*b*f*g*n*e^(-2) + 2*(x*e + d)*b*d*f*g*n*e^(-2) + 1/3*(x*e + d)^3*a*g^2*e^(-3) - (x*e + d)^2*a*d*g^2*e^(-3) + (x*e + d)*a*d^2*g^2*e^(-3) + (x*e + d)*b*f^2*n*e^(-1)*log(x*e + d) + (x*e + d)^2*b*f*g*e^(-2)*log(c) - 2*(x*e + d)*b*d*f*g*e^(-2)*log(c) - (x*e + d)*b*f^2*n*e^(-1) + (x*e + d)^2*a*f*g*e^(-2) - 2*(x*e + d)*a*d*f*g*e^(-2) + (x*e + d)*b*f^2*e^(-1)*log(c) + (x*e + d)*a*f^2*e^(-1)","B",0
38,1,186,0,0.173324," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\frac{1}{2} \, {\left(x e + d\right)}^{2} b g n e^{\left(-2\right)} \log\left(x e + d\right) - {\left(x e + d\right)} b d g n e^{\left(-2\right)} \log\left(x e + d\right) - \frac{1}{4} \, {\left(x e + d\right)}^{2} b g n e^{\left(-2\right)} + {\left(x e + d\right)} b d g n e^{\left(-2\right)} + {\left(x e + d\right)} b f n e^{\left(-1\right)} \log\left(x e + d\right) + \frac{1}{2} \, {\left(x e + d\right)}^{2} b g e^{\left(-2\right)} \log\left(c\right) - {\left(x e + d\right)} b d g e^{\left(-2\right)} \log\left(c\right) - {\left(x e + d\right)} b f n e^{\left(-1\right)} + \frac{1}{2} \, {\left(x e + d\right)}^{2} a g e^{\left(-2\right)} - {\left(x e + d\right)} a d g e^{\left(-2\right)} + {\left(x e + d\right)} b f e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a f e^{\left(-1\right)}"," ",0,"1/2*(x*e + d)^2*b*g*n*e^(-2)*log(x*e + d) - (x*e + d)*b*d*g*n*e^(-2)*log(x*e + d) - 1/4*(x*e + d)^2*b*g*n*e^(-2) + (x*e + d)*b*d*g*n*e^(-2) + (x*e + d)*b*f*n*e^(-1)*log(x*e + d) + 1/2*(x*e + d)^2*b*g*e^(-2)*log(c) - (x*e + d)*b*d*g*e^(-2)*log(c) - (x*e + d)*b*f*n*e^(-1) + 1/2*(x*e + d)^2*a*g*e^(-2) - (x*e + d)*a*d*g*e^(-2) + (x*e + d)*b*f*e^(-1)*log(c) + (x*e + d)*a*f*e^(-1)","B",0
39,1,46,0,0.158315," ","integrate(a+b*log(c*(e*x+d)^n),x, algorithm=""giac"")","{\left({\left(x e + d\right)} n e^{\left(-1\right)} \log\left(x e + d\right) - {\left(x e + d\right)} n e^{\left(-1\right)} + {\left(x e + d\right)} e^{\left(-1\right)} \log\left(c\right)\right)} b + a x"," ",0,"((x*e + d)*n*e^(-1)*log(x*e + d) - (x*e + d)*n*e^(-1) + (x*e + d)*e^(-1)*log(c))*b + a*x","A",0
40,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/(g*x + f), x)","F",0
41,1,111,0,0.173380," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""giac"")","\frac{b g n x e \log\left(g x + f\right) - b g n x e \log\left(x e + d\right) + b f n e \log\left(g x + f\right) - b d g n \log\left(x e + d\right) - b d g \log\left(c\right) + b f e \log\left(c\right) - a d g + a f e}{d g^{3} x - f g^{2} x e + d f g^{2} - f^{2} g e}"," ",0,"(b*g*n*x*e*log(g*x + f) - b*g*n*x*e*log(x*e + d) + b*f*n*e*log(g*x + f) - b*d*g*n*log(x*e + d) - b*d*g*log(c) + b*f*e*log(c) - a*d*g + a*f*e)/(d*g^3*x - f*g^2*x*e + d*f*g^2 - f^2*g*e)","A",0
42,1,302,0,0.249554," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^3,x, algorithm=""giac"")","-\frac{b g^{2} n x^{2} e^{2} \log\left(g x + f\right) - b g^{2} n x^{2} e^{2} \log\left(x e + d\right) + b d g^{2} n x e + 2 \, b f g n x e^{2} \log\left(g x + f\right) + b d^{2} g^{2} n \log\left(x e + d\right) - 2 \, b f g n x e^{2} \log\left(x e + d\right) - 2 \, b d f g n e \log\left(x e + d\right) - b f g n x e^{2} + b d f g n e + b f^{2} n e^{2} \log\left(g x + f\right) + b d^{2} g^{2} \log\left(c\right) - 2 \, b d f g e \log\left(c\right) + a d^{2} g^{2} - b f^{2} n e^{2} - 2 \, a d f g e + b f^{2} e^{2} \log\left(c\right) + a f^{2} e^{2}}{2 \, {\left(d^{2} g^{5} x^{2} - 2 \, d f g^{4} x^{2} e + 2 \, d^{2} f g^{4} x + f^{2} g^{3} x^{2} e^{2} - 4 \, d f^{2} g^{3} x e + d^{2} f^{2} g^{3} + 2 \, f^{3} g^{2} x e^{2} - 2 \, d f^{3} g^{2} e + f^{4} g e^{2}\right)}}"," ",0,"-1/2*(b*g^2*n*x^2*e^2*log(g*x + f) - b*g^2*n*x^2*e^2*log(x*e + d) + b*d*g^2*n*x*e + 2*b*f*g*n*x*e^2*log(g*x + f) + b*d^2*g^2*n*log(x*e + d) - 2*b*f*g*n*x*e^2*log(x*e + d) - 2*b*d*f*g*n*e*log(x*e + d) - b*f*g*n*x*e^2 + b*d*f*g*n*e + b*f^2*n*e^2*log(g*x + f) + b*d^2*g^2*log(c) - 2*b*d*f*g*e*log(c) + a*d^2*g^2 - b*f^2*n*e^2 - 2*a*d*f*g*e + b*f^2*e^2*log(c) + a*f^2*e^2)/(d^2*g^5*x^2 - 2*d*f*g^4*x^2*e + 2*d^2*f*g^4*x + f^2*g^3*x^2*e^2 - 4*d*f^2*g^3*x*e + d^2*f^2*g^3 + 2*f^3*g^2*x*e^2 - 2*d*f^3*g^2*e + f^4*g*e^2)","B",0
43,1,565,0,0.185978," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^4,x, algorithm=""giac"")","\frac{2 \, b g^{3} n x^{3} e^{3} \log\left(g x + f\right) - 2 \, b g^{3} n x^{3} e^{3} \log\left(x e + d\right) + 2 \, b d g^{3} n x^{2} e^{2} - b d^{2} g^{3} n x e + 6 \, b f g^{2} n x^{2} e^{3} \log\left(g x + f\right) - 2 \, b d^{3} g^{3} n \log\left(x e + d\right) - 6 \, b f g^{2} n x^{2} e^{3} \log\left(x e + d\right) + 6 \, b d^{2} f g^{2} n e \log\left(x e + d\right) - 2 \, b f g^{2} n x^{2} e^{3} + 6 \, b d f g^{2} n x e^{2} - b d^{2} f g^{2} n e + 6 \, b f^{2} g n x e^{3} \log\left(g x + f\right) - 6 \, b f^{2} g n x e^{3} \log\left(x e + d\right) - 6 \, b d f^{2} g n e^{2} \log\left(x e + d\right) - 2 \, b d^{3} g^{3} \log\left(c\right) + 6 \, b d^{2} f g^{2} e \log\left(c\right) - 2 \, a d^{3} g^{3} - 5 \, b f^{2} g n x e^{3} + 4 \, b d f^{2} g n e^{2} + 6 \, a d^{2} f g^{2} e + 2 \, b f^{3} n e^{3} \log\left(g x + f\right) - 6 \, b d f^{2} g e^{2} \log\left(c\right) - 3 \, b f^{3} n e^{3} - 6 \, a d f^{2} g e^{2} + 2 \, b f^{3} e^{3} \log\left(c\right) + 2 \, a f^{3} e^{3}}{6 \, {\left(d^{3} g^{7} x^{3} - 3 \, d^{2} f g^{6} x^{3} e + 3 \, d^{3} f g^{6} x^{2} + 3 \, d f^{2} g^{5} x^{3} e^{2} - 9 \, d^{2} f^{2} g^{5} x^{2} e + 3 \, d^{3} f^{2} g^{5} x - f^{3} g^{4} x^{3} e^{3} + 9 \, d f^{3} g^{4} x^{2} e^{2} - 9 \, d^{2} f^{3} g^{4} x e + d^{3} f^{3} g^{4} - 3 \, f^{4} g^{3} x^{2} e^{3} + 9 \, d f^{4} g^{3} x e^{2} - 3 \, d^{2} f^{4} g^{3} e - 3 \, f^{5} g^{2} x e^{3} + 3 \, d f^{5} g^{2} e^{2} - f^{6} g e^{3}\right)}}"," ",0,"1/6*(2*b*g^3*n*x^3*e^3*log(g*x + f) - 2*b*g^3*n*x^3*e^3*log(x*e + d) + 2*b*d*g^3*n*x^2*e^2 - b*d^2*g^3*n*x*e + 6*b*f*g^2*n*x^2*e^3*log(g*x + f) - 2*b*d^3*g^3*n*log(x*e + d) - 6*b*f*g^2*n*x^2*e^3*log(x*e + d) + 6*b*d^2*f*g^2*n*e*log(x*e + d) - 2*b*f*g^2*n*x^2*e^3 + 6*b*d*f*g^2*n*x*e^2 - b*d^2*f*g^2*n*e + 6*b*f^2*g*n*x*e^3*log(g*x + f) - 6*b*f^2*g*n*x*e^3*log(x*e + d) - 6*b*d*f^2*g*n*e^2*log(x*e + d) - 2*b*d^3*g^3*log(c) + 6*b*d^2*f*g^2*e*log(c) - 2*a*d^3*g^3 - 5*b*f^2*g*n*x*e^3 + 4*b*d*f^2*g*n*e^2 + 6*a*d^2*f*g^2*e + 2*b*f^3*n*e^3*log(g*x + f) - 6*b*d*f^2*g*e^2*log(c) - 3*b*f^3*n*e^3 - 6*a*d*f^2*g*e^2 + 2*b*f^3*e^3*log(c) + 2*a*f^3*e^3)/(d^3*g^7*x^3 - 3*d^2*f*g^6*x^3*e + 3*d^3*f*g^6*x^2 + 3*d*f^2*g^5*x^3*e^2 - 9*d^2*f^2*g^5*x^2*e + 3*d^3*f^2*g^5*x - f^3*g^4*x^3*e^3 + 9*d*f^3*g^4*x^2*e^2 - 9*d^2*f^3*g^4*x*e + d^3*f^3*g^4 - 3*f^4*g^3*x^2*e^3 + 9*d*f^4*g^3*x*e^2 - 3*d^2*f^4*g^3*e - 3*f^5*g^2*x*e^3 + 3*d*f^5*g^2*e^2 - f^6*g*e^3)","B",0
44,1,2385,0,0.356070," ","integrate((g*x+f)^3*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\frac{1}{4} \, {\left(x e + d\right)}^{4} b^{2} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right)^{2} - {\left(x e + d\right)}^{3} b^{2} d g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right)^{2} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{2} d^{2} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right)^{2} - {\left(x e + d\right)} b^{2} d^{3} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right)^{2} - \frac{1}{8} \, {\left(x e + d\right)}^{4} b^{2} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right) + \frac{2}{3} \, {\left(x e + d\right)}^{3} b^{2} d g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right) - \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{2} d^{2} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)} b^{2} d^{3} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right) + {\left(x e + d\right)}^{3} b^{2} f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} - 3 \, {\left(x e + d\right)}^{2} b^{2} d f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} + 3 \, {\left(x e + d\right)} b^{2} d^{2} f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} + \frac{1}{2} \, {\left(x e + d\right)}^{4} b^{2} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right) - 2 \, {\left(x e + d\right)}^{3} b^{2} d g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right) + 3 \, {\left(x e + d\right)}^{2} b^{2} d^{2} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right) - 2 \, {\left(x e + d\right)} b^{2} d^{3} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right) + \frac{1}{32} \, {\left(x e + d\right)}^{4} b^{2} g^{3} n^{2} e^{\left(-4\right)} - \frac{2}{9} \, {\left(x e + d\right)}^{3} b^{2} d g^{3} n^{2} e^{\left(-4\right)} + \frac{3}{4} \, {\left(x e + d\right)}^{2} b^{2} d^{2} g^{3} n^{2} e^{\left(-4\right)} - 2 \, {\left(x e + d\right)} b^{2} d^{3} g^{3} n^{2} e^{\left(-4\right)} - \frac{2}{3} \, {\left(x e + d\right)}^{3} b^{2} f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)}^{2} b^{2} d f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) - 6 \, {\left(x e + d\right)} b^{2} d^{2} f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) + \frac{1}{2} \, {\left(x e + d\right)}^{4} a b g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)}^{3} a b d g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)}^{2} a b d^{2} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)} a b d^{3} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{2} f^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - 3 \, {\left(x e + d\right)} b^{2} d f^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - \frac{1}{8} \, {\left(x e + d\right)}^{4} b^{2} g^{3} n e^{\left(-4\right)} \log\left(c\right) + \frac{2}{3} \, {\left(x e + d\right)}^{3} b^{2} d g^{3} n e^{\left(-4\right)} \log\left(c\right) - \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{2} d^{2} g^{3} n e^{\left(-4\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)} b^{2} d^{3} g^{3} n e^{\left(-4\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)}^{3} b^{2} f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) - 6 \, {\left(x e + d\right)}^{2} b^{2} d f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + 6 \, {\left(x e + d\right)} b^{2} d^{2} f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + \frac{1}{4} \, {\left(x e + d\right)}^{4} b^{2} g^{3} e^{\left(-4\right)} \log\left(c\right)^{2} - {\left(x e + d\right)}^{3} b^{2} d g^{3} e^{\left(-4\right)} \log\left(c\right)^{2} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{2} d^{2} g^{3} e^{\left(-4\right)} \log\left(c\right)^{2} - {\left(x e + d\right)} b^{2} d^{3} g^{3} e^{\left(-4\right)} \log\left(c\right)^{2} + \frac{2}{9} \, {\left(x e + d\right)}^{3} b^{2} f g^{2} n^{2} e^{\left(-3\right)} - \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{2} d f g^{2} n^{2} e^{\left(-3\right)} + 6 \, {\left(x e + d\right)} b^{2} d^{2} f g^{2} n^{2} e^{\left(-3\right)} - \frac{1}{8} \, {\left(x e + d\right)}^{4} a b g^{3} n e^{\left(-4\right)} + \frac{2}{3} \, {\left(x e + d\right)}^{3} a b d g^{3} n e^{\left(-4\right)} - \frac{3}{2} \, {\left(x e + d\right)}^{2} a b d^{2} g^{3} n e^{\left(-4\right)} + 2 \, {\left(x e + d\right)} a b d^{3} g^{3} n e^{\left(-4\right)} - \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{2} f^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} b^{2} d f^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)}^{3} a b f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) - 6 \, {\left(x e + d\right)}^{2} a b d f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} a b d^{2} f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + {\left(x e + d\right)} b^{2} f^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} - \frac{2}{3} \, {\left(x e + d\right)}^{3} b^{2} f g^{2} n e^{\left(-3\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)}^{2} b^{2} d f g^{2} n e^{\left(-3\right)} \log\left(c\right) - 6 \, {\left(x e + d\right)} b^{2} d^{2} f g^{2} n e^{\left(-3\right)} \log\left(c\right) + \frac{1}{2} \, {\left(x e + d\right)}^{4} a b g^{3} e^{\left(-4\right)} \log\left(c\right) - 2 \, {\left(x e + d\right)}^{3} a b d g^{3} e^{\left(-4\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)}^{2} a b d^{2} g^{3} e^{\left(-4\right)} \log\left(c\right) - 2 \, {\left(x e + d\right)} a b d^{3} g^{3} e^{\left(-4\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)}^{2} b^{2} f^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) - 6 \, {\left(x e + d\right)} b^{2} d f^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) + {\left(x e + d\right)}^{3} b^{2} f g^{2} e^{\left(-3\right)} \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)}^{2} b^{2} d f g^{2} e^{\left(-3\right)} \log\left(c\right)^{2} + 3 \, {\left(x e + d\right)} b^{2} d^{2} f g^{2} e^{\left(-3\right)} \log\left(c\right)^{2} + \frac{3}{4} \, {\left(x e + d\right)}^{2} b^{2} f^{2} g n^{2} e^{\left(-2\right)} - 6 \, {\left(x e + d\right)} b^{2} d f^{2} g n^{2} e^{\left(-2\right)} - \frac{2}{3} \, {\left(x e + d\right)}^{3} a b f g^{2} n e^{\left(-3\right)} + 3 \, {\left(x e + d\right)}^{2} a b d f g^{2} n e^{\left(-3\right)} - 6 \, {\left(x e + d\right)} a b d^{2} f g^{2} n e^{\left(-3\right)} + \frac{1}{4} \, {\left(x e + d\right)}^{4} a^{2} g^{3} e^{\left(-4\right)} - {\left(x e + d\right)}^{3} a^{2} d g^{3} e^{\left(-4\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} a^{2} d^{2} g^{3} e^{\left(-4\right)} - {\left(x e + d\right)} a^{2} d^{3} g^{3} e^{\left(-4\right)} - 2 \, {\left(x e + d\right)} b^{2} f^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)}^{2} a b f^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) - 6 \, {\left(x e + d\right)} a b d f^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) - \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{2} f^{2} g n e^{\left(-2\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} b^{2} d f^{2} g n e^{\left(-2\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)}^{3} a b f g^{2} e^{\left(-3\right)} \log\left(c\right) - 6 \, {\left(x e + d\right)}^{2} a b d f g^{2} e^{\left(-3\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} a b d^{2} f g^{2} e^{\left(-3\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)} b^{2} f^{3} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{2} f^{2} g e^{\left(-2\right)} \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)} b^{2} d f^{2} g e^{\left(-2\right)} \log\left(c\right)^{2} + 2 \, {\left(x e + d\right)} b^{2} f^{3} n^{2} e^{\left(-1\right)} - \frac{3}{2} \, {\left(x e + d\right)}^{2} a b f^{2} g n e^{\left(-2\right)} + 6 \, {\left(x e + d\right)} a b d f^{2} g n e^{\left(-2\right)} + {\left(x e + d\right)}^{3} a^{2} f g^{2} e^{\left(-3\right)} - 3 \, {\left(x e + d\right)}^{2} a^{2} d f g^{2} e^{\left(-3\right)} + 3 \, {\left(x e + d\right)} a^{2} d^{2} f g^{2} e^{\left(-3\right)} + 2 \, {\left(x e + d\right)} a b f^{3} n e^{\left(-1\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)} b^{2} f^{3} n e^{\left(-1\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)}^{2} a b f^{2} g e^{\left(-2\right)} \log\left(c\right) - 6 \, {\left(x e + d\right)} a b d f^{2} g e^{\left(-2\right)} \log\left(c\right) + {\left(x e + d\right)} b^{2} f^{3} e^{\left(-1\right)} \log\left(c\right)^{2} - 2 \, {\left(x e + d\right)} a b f^{3} n e^{\left(-1\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} a^{2} f^{2} g e^{\left(-2\right)} - 3 \, {\left(x e + d\right)} a^{2} d f^{2} g e^{\left(-2\right)} + 2 \, {\left(x e + d\right)} a b f^{3} e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a^{2} f^{3} e^{\left(-1\right)}"," ",0,"1/4*(x*e + d)^4*b^2*g^3*n^2*e^(-4)*log(x*e + d)^2 - (x*e + d)^3*b^2*d*g^3*n^2*e^(-4)*log(x*e + d)^2 + 3/2*(x*e + d)^2*b^2*d^2*g^3*n^2*e^(-4)*log(x*e + d)^2 - (x*e + d)*b^2*d^3*g^3*n^2*e^(-4)*log(x*e + d)^2 - 1/8*(x*e + d)^4*b^2*g^3*n^2*e^(-4)*log(x*e + d) + 2/3*(x*e + d)^3*b^2*d*g^3*n^2*e^(-4)*log(x*e + d) - 3/2*(x*e + d)^2*b^2*d^2*g^3*n^2*e^(-4)*log(x*e + d) + 2*(x*e + d)*b^2*d^3*g^3*n^2*e^(-4)*log(x*e + d) + (x*e + d)^3*b^2*f*g^2*n^2*e^(-3)*log(x*e + d)^2 - 3*(x*e + d)^2*b^2*d*f*g^2*n^2*e^(-3)*log(x*e + d)^2 + 3*(x*e + d)*b^2*d^2*f*g^2*n^2*e^(-3)*log(x*e + d)^2 + 1/2*(x*e + d)^4*b^2*g^3*n*e^(-4)*log(x*e + d)*log(c) - 2*(x*e + d)^3*b^2*d*g^3*n*e^(-4)*log(x*e + d)*log(c) + 3*(x*e + d)^2*b^2*d^2*g^3*n*e^(-4)*log(x*e + d)*log(c) - 2*(x*e + d)*b^2*d^3*g^3*n*e^(-4)*log(x*e + d)*log(c) + 1/32*(x*e + d)^4*b^2*g^3*n^2*e^(-4) - 2/9*(x*e + d)^3*b^2*d*g^3*n^2*e^(-4) + 3/4*(x*e + d)^2*b^2*d^2*g^3*n^2*e^(-4) - 2*(x*e + d)*b^2*d^3*g^3*n^2*e^(-4) - 2/3*(x*e + d)^3*b^2*f*g^2*n^2*e^(-3)*log(x*e + d) + 3*(x*e + d)^2*b^2*d*f*g^2*n^2*e^(-3)*log(x*e + d) - 6*(x*e + d)*b^2*d^2*f*g^2*n^2*e^(-3)*log(x*e + d) + 1/2*(x*e + d)^4*a*b*g^3*n*e^(-4)*log(x*e + d) - 2*(x*e + d)^3*a*b*d*g^3*n*e^(-4)*log(x*e + d) + 3*(x*e + d)^2*a*b*d^2*g^3*n*e^(-4)*log(x*e + d) - 2*(x*e + d)*a*b*d^3*g^3*n*e^(-4)*log(x*e + d) + 3/2*(x*e + d)^2*b^2*f^2*g*n^2*e^(-2)*log(x*e + d)^2 - 3*(x*e + d)*b^2*d*f^2*g*n^2*e^(-2)*log(x*e + d)^2 - 1/8*(x*e + d)^4*b^2*g^3*n*e^(-4)*log(c) + 2/3*(x*e + d)^3*b^2*d*g^3*n*e^(-4)*log(c) - 3/2*(x*e + d)^2*b^2*d^2*g^3*n*e^(-4)*log(c) + 2*(x*e + d)*b^2*d^3*g^3*n*e^(-4)*log(c) + 2*(x*e + d)^3*b^2*f*g^2*n*e^(-3)*log(x*e + d)*log(c) - 6*(x*e + d)^2*b^2*d*f*g^2*n*e^(-3)*log(x*e + d)*log(c) + 6*(x*e + d)*b^2*d^2*f*g^2*n*e^(-3)*log(x*e + d)*log(c) + 1/4*(x*e + d)^4*b^2*g^3*e^(-4)*log(c)^2 - (x*e + d)^3*b^2*d*g^3*e^(-4)*log(c)^2 + 3/2*(x*e + d)^2*b^2*d^2*g^3*e^(-4)*log(c)^2 - (x*e + d)*b^2*d^3*g^3*e^(-4)*log(c)^2 + 2/9*(x*e + d)^3*b^2*f*g^2*n^2*e^(-3) - 3/2*(x*e + d)^2*b^2*d*f*g^2*n^2*e^(-3) + 6*(x*e + d)*b^2*d^2*f*g^2*n^2*e^(-3) - 1/8*(x*e + d)^4*a*b*g^3*n*e^(-4) + 2/3*(x*e + d)^3*a*b*d*g^3*n*e^(-4) - 3/2*(x*e + d)^2*a*b*d^2*g^3*n*e^(-4) + 2*(x*e + d)*a*b*d^3*g^3*n*e^(-4) - 3/2*(x*e + d)^2*b^2*f^2*g*n^2*e^(-2)*log(x*e + d) + 6*(x*e + d)*b^2*d*f^2*g*n^2*e^(-2)*log(x*e + d) + 2*(x*e + d)^3*a*b*f*g^2*n*e^(-3)*log(x*e + d) - 6*(x*e + d)^2*a*b*d*f*g^2*n*e^(-3)*log(x*e + d) + 6*(x*e + d)*a*b*d^2*f*g^2*n*e^(-3)*log(x*e + d) + (x*e + d)*b^2*f^3*n^2*e^(-1)*log(x*e + d)^2 - 2/3*(x*e + d)^3*b^2*f*g^2*n*e^(-3)*log(c) + 3*(x*e + d)^2*b^2*d*f*g^2*n*e^(-3)*log(c) - 6*(x*e + d)*b^2*d^2*f*g^2*n*e^(-3)*log(c) + 1/2*(x*e + d)^4*a*b*g^3*e^(-4)*log(c) - 2*(x*e + d)^3*a*b*d*g^3*e^(-4)*log(c) + 3*(x*e + d)^2*a*b*d^2*g^3*e^(-4)*log(c) - 2*(x*e + d)*a*b*d^3*g^3*e^(-4)*log(c) + 3*(x*e + d)^2*b^2*f^2*g*n*e^(-2)*log(x*e + d)*log(c) - 6*(x*e + d)*b^2*d*f^2*g*n*e^(-2)*log(x*e + d)*log(c) + (x*e + d)^3*b^2*f*g^2*e^(-3)*log(c)^2 - 3*(x*e + d)^2*b^2*d*f*g^2*e^(-3)*log(c)^2 + 3*(x*e + d)*b^2*d^2*f*g^2*e^(-3)*log(c)^2 + 3/4*(x*e + d)^2*b^2*f^2*g*n^2*e^(-2) - 6*(x*e + d)*b^2*d*f^2*g*n^2*e^(-2) - 2/3*(x*e + d)^3*a*b*f*g^2*n*e^(-3) + 3*(x*e + d)^2*a*b*d*f*g^2*n*e^(-3) - 6*(x*e + d)*a*b*d^2*f*g^2*n*e^(-3) + 1/4*(x*e + d)^4*a^2*g^3*e^(-4) - (x*e + d)^3*a^2*d*g^3*e^(-4) + 3/2*(x*e + d)^2*a^2*d^2*g^3*e^(-4) - (x*e + d)*a^2*d^3*g^3*e^(-4) - 2*(x*e + d)*b^2*f^3*n^2*e^(-1)*log(x*e + d) + 3*(x*e + d)^2*a*b*f^2*g*n*e^(-2)*log(x*e + d) - 6*(x*e + d)*a*b*d*f^2*g*n*e^(-2)*log(x*e + d) - 3/2*(x*e + d)^2*b^2*f^2*g*n*e^(-2)*log(c) + 6*(x*e + d)*b^2*d*f^2*g*n*e^(-2)*log(c) + 2*(x*e + d)^3*a*b*f*g^2*e^(-3)*log(c) - 6*(x*e + d)^2*a*b*d*f*g^2*e^(-3)*log(c) + 6*(x*e + d)*a*b*d^2*f*g^2*e^(-3)*log(c) + 2*(x*e + d)*b^2*f^3*n*e^(-1)*log(x*e + d)*log(c) + 3/2*(x*e + d)^2*b^2*f^2*g*e^(-2)*log(c)^2 - 3*(x*e + d)*b^2*d*f^2*g*e^(-2)*log(c)^2 + 2*(x*e + d)*b^2*f^3*n^2*e^(-1) - 3/2*(x*e + d)^2*a*b*f^2*g*n*e^(-2) + 6*(x*e + d)*a*b*d*f^2*g*n*e^(-2) + (x*e + d)^3*a^2*f*g^2*e^(-3) - 3*(x*e + d)^2*a^2*d*f*g^2*e^(-3) + 3*(x*e + d)*a^2*d^2*f*g^2*e^(-3) + 2*(x*e + d)*a*b*f^3*n*e^(-1)*log(x*e + d) - 2*(x*e + d)*b^2*f^3*n*e^(-1)*log(c) + 3*(x*e + d)^2*a*b*f^2*g*e^(-2)*log(c) - 6*(x*e + d)*a*b*d*f^2*g*e^(-2)*log(c) + (x*e + d)*b^2*f^3*e^(-1)*log(c)^2 - 2*(x*e + d)*a*b*f^3*n*e^(-1) + 3/2*(x*e + d)^2*a^2*f^2*g*e^(-2) - 3*(x*e + d)*a^2*d*f^2*g*e^(-2) + 2*(x*e + d)*a*b*f^3*e^(-1)*log(c) + (x*e + d)*a^2*f^3*e^(-1)","B",0
45,1,1339,0,0.270125," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\frac{1}{3} \, {\left(x e + d\right)}^{3} b^{2} g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} - {\left(x e + d\right)}^{2} b^{2} d g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} + {\left(x e + d\right)} b^{2} d^{2} g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} - \frac{2}{9} \, {\left(x e + d\right)}^{3} b^{2} g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) + {\left(x e + d\right)}^{2} b^{2} d g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)} b^{2} d^{2} g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) + {\left(x e + d\right)}^{2} b^{2} f g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - 2 \, {\left(x e + d\right)} b^{2} d f g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} + \frac{2}{3} \, {\left(x e + d\right)}^{3} b^{2} g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) - 2 \, {\left(x e + d\right)}^{2} b^{2} d g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + 2 \, {\left(x e + d\right)} b^{2} d^{2} g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + \frac{2}{27} \, {\left(x e + d\right)}^{3} b^{2} g^{2} n^{2} e^{\left(-3\right)} - \frac{1}{2} \, {\left(x e + d\right)}^{2} b^{2} d g^{2} n^{2} e^{\left(-3\right)} + 2 \, {\left(x e + d\right)} b^{2} d^{2} g^{2} n^{2} e^{\left(-3\right)} - {\left(x e + d\right)}^{2} b^{2} f g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + 4 \, {\left(x e + d\right)} b^{2} d f g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + \frac{2}{3} \, {\left(x e + d\right)}^{3} a b g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)}^{2} a b d g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)} a b d^{2} g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + {\left(x e + d\right)} b^{2} f^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} - \frac{2}{9} \, {\left(x e + d\right)}^{3} b^{2} g^{2} n e^{\left(-3\right)} \log\left(c\right) + {\left(x e + d\right)}^{2} b^{2} d g^{2} n e^{\left(-3\right)} \log\left(c\right) - 2 \, {\left(x e + d\right)} b^{2} d^{2} g^{2} n e^{\left(-3\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)}^{2} b^{2} f g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) - 4 \, {\left(x e + d\right)} b^{2} d f g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) + \frac{1}{3} \, {\left(x e + d\right)}^{3} b^{2} g^{2} e^{\left(-3\right)} \log\left(c\right)^{2} - {\left(x e + d\right)}^{2} b^{2} d g^{2} e^{\left(-3\right)} \log\left(c\right)^{2} + {\left(x e + d\right)} b^{2} d^{2} g^{2} e^{\left(-3\right)} \log\left(c\right)^{2} + \frac{1}{2} \, {\left(x e + d\right)}^{2} b^{2} f g n^{2} e^{\left(-2\right)} - 4 \, {\left(x e + d\right)} b^{2} d f g n^{2} e^{\left(-2\right)} - \frac{2}{9} \, {\left(x e + d\right)}^{3} a b g^{2} n e^{\left(-3\right)} + {\left(x e + d\right)}^{2} a b d g^{2} n e^{\left(-3\right)} - 2 \, {\left(x e + d\right)} a b d^{2} g^{2} n e^{\left(-3\right)} - 2 \, {\left(x e + d\right)} b^{2} f^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)}^{2} a b f g n e^{\left(-2\right)} \log\left(x e + d\right) - 4 \, {\left(x e + d\right)} a b d f g n e^{\left(-2\right)} \log\left(x e + d\right) - {\left(x e + d\right)}^{2} b^{2} f g n e^{\left(-2\right)} \log\left(c\right) + 4 \, {\left(x e + d\right)} b^{2} d f g n e^{\left(-2\right)} \log\left(c\right) + \frac{2}{3} \, {\left(x e + d\right)}^{3} a b g^{2} e^{\left(-3\right)} \log\left(c\right) - 2 \, {\left(x e + d\right)}^{2} a b d g^{2} e^{\left(-3\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)} a b d^{2} g^{2} e^{\left(-3\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)} b^{2} f^{2} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + {\left(x e + d\right)}^{2} b^{2} f g e^{\left(-2\right)} \log\left(c\right)^{2} - 2 \, {\left(x e + d\right)} b^{2} d f g e^{\left(-2\right)} \log\left(c\right)^{2} + 2 \, {\left(x e + d\right)} b^{2} f^{2} n^{2} e^{\left(-1\right)} - {\left(x e + d\right)}^{2} a b f g n e^{\left(-2\right)} + 4 \, {\left(x e + d\right)} a b d f g n e^{\left(-2\right)} + \frac{1}{3} \, {\left(x e + d\right)}^{3} a^{2} g^{2} e^{\left(-3\right)} - {\left(x e + d\right)}^{2} a^{2} d g^{2} e^{\left(-3\right)} + {\left(x e + d\right)} a^{2} d^{2} g^{2} e^{\left(-3\right)} + 2 \, {\left(x e + d\right)} a b f^{2} n e^{\left(-1\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)} b^{2} f^{2} n e^{\left(-1\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)}^{2} a b f g e^{\left(-2\right)} \log\left(c\right) - 4 \, {\left(x e + d\right)} a b d f g e^{\left(-2\right)} \log\left(c\right) + {\left(x e + d\right)} b^{2} f^{2} e^{\left(-1\right)} \log\left(c\right)^{2} - 2 \, {\left(x e + d\right)} a b f^{2} n e^{\left(-1\right)} + {\left(x e + d\right)}^{2} a^{2} f g e^{\left(-2\right)} - 2 \, {\left(x e + d\right)} a^{2} d f g e^{\left(-2\right)} + 2 \, {\left(x e + d\right)} a b f^{2} e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a^{2} f^{2} e^{\left(-1\right)}"," ",0,"1/3*(x*e + d)^3*b^2*g^2*n^2*e^(-3)*log(x*e + d)^2 - (x*e + d)^2*b^2*d*g^2*n^2*e^(-3)*log(x*e + d)^2 + (x*e + d)*b^2*d^2*g^2*n^2*e^(-3)*log(x*e + d)^2 - 2/9*(x*e + d)^3*b^2*g^2*n^2*e^(-3)*log(x*e + d) + (x*e + d)^2*b^2*d*g^2*n^2*e^(-3)*log(x*e + d) - 2*(x*e + d)*b^2*d^2*g^2*n^2*e^(-3)*log(x*e + d) + (x*e + d)^2*b^2*f*g*n^2*e^(-2)*log(x*e + d)^2 - 2*(x*e + d)*b^2*d*f*g*n^2*e^(-2)*log(x*e + d)^2 + 2/3*(x*e + d)^3*b^2*g^2*n*e^(-3)*log(x*e + d)*log(c) - 2*(x*e + d)^2*b^2*d*g^2*n*e^(-3)*log(x*e + d)*log(c) + 2*(x*e + d)*b^2*d^2*g^2*n*e^(-3)*log(x*e + d)*log(c) + 2/27*(x*e + d)^3*b^2*g^2*n^2*e^(-3) - 1/2*(x*e + d)^2*b^2*d*g^2*n^2*e^(-3) + 2*(x*e + d)*b^2*d^2*g^2*n^2*e^(-3) - (x*e + d)^2*b^2*f*g*n^2*e^(-2)*log(x*e + d) + 4*(x*e + d)*b^2*d*f*g*n^2*e^(-2)*log(x*e + d) + 2/3*(x*e + d)^3*a*b*g^2*n*e^(-3)*log(x*e + d) - 2*(x*e + d)^2*a*b*d*g^2*n*e^(-3)*log(x*e + d) + 2*(x*e + d)*a*b*d^2*g^2*n*e^(-3)*log(x*e + d) + (x*e + d)*b^2*f^2*n^2*e^(-1)*log(x*e + d)^2 - 2/9*(x*e + d)^3*b^2*g^2*n*e^(-3)*log(c) + (x*e + d)^2*b^2*d*g^2*n*e^(-3)*log(c) - 2*(x*e + d)*b^2*d^2*g^2*n*e^(-3)*log(c) + 2*(x*e + d)^2*b^2*f*g*n*e^(-2)*log(x*e + d)*log(c) - 4*(x*e + d)*b^2*d*f*g*n*e^(-2)*log(x*e + d)*log(c) + 1/3*(x*e + d)^3*b^2*g^2*e^(-3)*log(c)^2 - (x*e + d)^2*b^2*d*g^2*e^(-3)*log(c)^2 + (x*e + d)*b^2*d^2*g^2*e^(-3)*log(c)^2 + 1/2*(x*e + d)^2*b^2*f*g*n^2*e^(-2) - 4*(x*e + d)*b^2*d*f*g*n^2*e^(-2) - 2/9*(x*e + d)^3*a*b*g^2*n*e^(-3) + (x*e + d)^2*a*b*d*g^2*n*e^(-3) - 2*(x*e + d)*a*b*d^2*g^2*n*e^(-3) - 2*(x*e + d)*b^2*f^2*n^2*e^(-1)*log(x*e + d) + 2*(x*e + d)^2*a*b*f*g*n*e^(-2)*log(x*e + d) - 4*(x*e + d)*a*b*d*f*g*n*e^(-2)*log(x*e + d) - (x*e + d)^2*b^2*f*g*n*e^(-2)*log(c) + 4*(x*e + d)*b^2*d*f*g*n*e^(-2)*log(c) + 2/3*(x*e + d)^3*a*b*g^2*e^(-3)*log(c) - 2*(x*e + d)^2*a*b*d*g^2*e^(-3)*log(c) + 2*(x*e + d)*a*b*d^2*g^2*e^(-3)*log(c) + 2*(x*e + d)*b^2*f^2*n*e^(-1)*log(x*e + d)*log(c) + (x*e + d)^2*b^2*f*g*e^(-2)*log(c)^2 - 2*(x*e + d)*b^2*d*f*g*e^(-2)*log(c)^2 + 2*(x*e + d)*b^2*f^2*n^2*e^(-1) - (x*e + d)^2*a*b*f*g*n*e^(-2) + 4*(x*e + d)*a*b*d*f*g*n*e^(-2) + 1/3*(x*e + d)^3*a^2*g^2*e^(-3) - (x*e + d)^2*a^2*d*g^2*e^(-3) + (x*e + d)*a^2*d^2*g^2*e^(-3) + 2*(x*e + d)*a*b*f^2*n*e^(-1)*log(x*e + d) - 2*(x*e + d)*b^2*f^2*n*e^(-1)*log(c) + 2*(x*e + d)^2*a*b*f*g*e^(-2)*log(c) - 4*(x*e + d)*a*b*d*f*g*e^(-2)*log(c) + (x*e + d)*b^2*f^2*e^(-1)*log(c)^2 - 2*(x*e + d)*a*b*f^2*n*e^(-1) + (x*e + d)^2*a^2*f*g*e^(-2) - 2*(x*e + d)*a^2*d*f*g*e^(-2) + 2*(x*e + d)*a*b*f^2*e^(-1)*log(c) + (x*e + d)*a^2*f^2*e^(-1)","B",0
46,1,595,0,0.253730," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left(x e + d\right)}^{2} b^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - {\left(x e + d\right)} b^{2} d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - \frac{1}{2} \, {\left(x e + d\right)}^{2} b^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)} b^{2} d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + {\left(x e + d\right)} b^{2} f n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + {\left(x e + d\right)}^{2} b^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) - 2 \, {\left(x e + d\right)} b^{2} d g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) + \frac{1}{4} \, {\left(x e + d\right)}^{2} b^{2} g n^{2} e^{\left(-2\right)} - 2 \, {\left(x e + d\right)} b^{2} d g n^{2} e^{\left(-2\right)} - 2 \, {\left(x e + d\right)} b^{2} f n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + {\left(x e + d\right)}^{2} a b g n e^{\left(-2\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)} a b d g n e^{\left(-2\right)} \log\left(x e + d\right) - \frac{1}{2} \, {\left(x e + d\right)}^{2} b^{2} g n e^{\left(-2\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)} b^{2} d g n e^{\left(-2\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)} b^{2} f n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + \frac{1}{2} \, {\left(x e + d\right)}^{2} b^{2} g e^{\left(-2\right)} \log\left(c\right)^{2} - {\left(x e + d\right)} b^{2} d g e^{\left(-2\right)} \log\left(c\right)^{2} + 2 \, {\left(x e + d\right)} b^{2} f n^{2} e^{\left(-1\right)} - \frac{1}{2} \, {\left(x e + d\right)}^{2} a b g n e^{\left(-2\right)} + 2 \, {\left(x e + d\right)} a b d g n e^{\left(-2\right)} + 2 \, {\left(x e + d\right)} a b f n e^{\left(-1\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)} b^{2} f n e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)}^{2} a b g e^{\left(-2\right)} \log\left(c\right) - 2 \, {\left(x e + d\right)} a b d g e^{\left(-2\right)} \log\left(c\right) + {\left(x e + d\right)} b^{2} f e^{\left(-1\right)} \log\left(c\right)^{2} - 2 \, {\left(x e + d\right)} a b f n e^{\left(-1\right)} + \frac{1}{2} \, {\left(x e + d\right)}^{2} a^{2} g e^{\left(-2\right)} - {\left(x e + d\right)} a^{2} d g e^{\left(-2\right)} + 2 \, {\left(x e + d\right)} a b f e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a^{2} f e^{\left(-1\right)}"," ",0,"1/2*(x*e + d)^2*b^2*g*n^2*e^(-2)*log(x*e + d)^2 - (x*e + d)*b^2*d*g*n^2*e^(-2)*log(x*e + d)^2 - 1/2*(x*e + d)^2*b^2*g*n^2*e^(-2)*log(x*e + d) + 2*(x*e + d)*b^2*d*g*n^2*e^(-2)*log(x*e + d) + (x*e + d)*b^2*f*n^2*e^(-1)*log(x*e + d)^2 + (x*e + d)^2*b^2*g*n*e^(-2)*log(x*e + d)*log(c) - 2*(x*e + d)*b^2*d*g*n*e^(-2)*log(x*e + d)*log(c) + 1/4*(x*e + d)^2*b^2*g*n^2*e^(-2) - 2*(x*e + d)*b^2*d*g*n^2*e^(-2) - 2*(x*e + d)*b^2*f*n^2*e^(-1)*log(x*e + d) + (x*e + d)^2*a*b*g*n*e^(-2)*log(x*e + d) - 2*(x*e + d)*a*b*d*g*n*e^(-2)*log(x*e + d) - 1/2*(x*e + d)^2*b^2*g*n*e^(-2)*log(c) + 2*(x*e + d)*b^2*d*g*n*e^(-2)*log(c) + 2*(x*e + d)*b^2*f*n*e^(-1)*log(x*e + d)*log(c) + 1/2*(x*e + d)^2*b^2*g*e^(-2)*log(c)^2 - (x*e + d)*b^2*d*g*e^(-2)*log(c)^2 + 2*(x*e + d)*b^2*f*n^2*e^(-1) - 1/2*(x*e + d)^2*a*b*g*n*e^(-2) + 2*(x*e + d)*a*b*d*g*n*e^(-2) + 2*(x*e + d)*a*b*f*n*e^(-1)*log(x*e + d) - 2*(x*e + d)*b^2*f*n*e^(-1)*log(c) + (x*e + d)^2*a*b*g*e^(-2)*log(c) - 2*(x*e + d)*a*b*d*g*e^(-2)*log(c) + (x*e + d)*b^2*f*e^(-1)*log(c)^2 - 2*(x*e + d)*a*b*f*n*e^(-1) + 1/2*(x*e + d)^2*a^2*g*e^(-2) - (x*e + d)*a^2*d*g*e^(-2) + 2*(x*e + d)*a*b*f*e^(-1)*log(c) + (x*e + d)*a^2*f*e^(-1)","B",0
47,1,178,0,0.176113," ","integrate((a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","{\left(x e + d\right)} b^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} - 2 \, {\left(x e + d\right)} b^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)} b^{2} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + 2 \, {\left(x e + d\right)} b^{2} n^{2} e^{\left(-1\right)} + 2 \, {\left(x e + d\right)} a b n e^{\left(-1\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)} b^{2} n e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} b^{2} e^{\left(-1\right)} \log\left(c\right)^{2} - 2 \, {\left(x e + d\right)} a b n e^{\left(-1\right)} + 2 \, {\left(x e + d\right)} a b e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a^{2} e^{\left(-1\right)}"," ",0,"(x*e + d)*b^2*n^2*e^(-1)*log(x*e + d)^2 - 2*(x*e + d)*b^2*n^2*e^(-1)*log(x*e + d) + 2*(x*e + d)*b^2*n*e^(-1)*log(x*e + d)*log(c) + 2*(x*e + d)*b^2*n^2*e^(-1) + 2*(x*e + d)*a*b*n*e^(-1)*log(x*e + d) - 2*(x*e + d)*b^2*n*e^(-1)*log(c) + (x*e + d)*b^2*e^(-1)*log(c)^2 - 2*(x*e + d)*a*b*n*e^(-1) + 2*(x*e + d)*a*b*e^(-1)*log(c) + (x*e + d)*a^2*e^(-1)","B",0
48,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/(g*x + f), x)","F",0
49,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/(g*x + f)^2, x)","F",0
50,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/(g*x + f)^3, x)","F",0
51,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x + f\right)}^{4}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/(g*x + f)^4, x)","F",0
52,1,5282,0,0.641066," ","integrate((g*x+f)^3*(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(x e + d\right)}^{4} b^{3} g^{3} n^{3} e^{\left(-4\right)} \log\left(x e + d\right)^{3} - {\left(x e + d\right)}^{3} b^{3} d g^{3} n^{3} e^{\left(-4\right)} \log\left(x e + d\right)^{3} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} d^{2} g^{3} n^{3} e^{\left(-4\right)} \log\left(x e + d\right)^{3} - {\left(x e + d\right)} b^{3} d^{3} g^{3} n^{3} e^{\left(-4\right)} \log\left(x e + d\right)^{3} - \frac{3}{16} \, {\left(x e + d\right)}^{4} b^{3} g^{3} n^{3} e^{\left(-4\right)} \log\left(x e + d\right)^{2} + {\left(x e + d\right)}^{3} b^{3} d g^{3} n^{3} e^{\left(-4\right)} \log\left(x e + d\right)^{2} - \frac{9}{4} \, {\left(x e + d\right)}^{2} b^{3} d^{2} g^{3} n^{3} e^{\left(-4\right)} \log\left(x e + d\right)^{2} + 3 \, {\left(x e + d\right)} b^{3} d^{3} g^{3} n^{3} e^{\left(-4\right)} \log\left(x e + d\right)^{2} + {\left(x e + d\right)}^{3} b^{3} f g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right)^{3} - 3 \, {\left(x e + d\right)}^{2} b^{3} d f g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right)^{3} + 3 \, {\left(x e + d\right)} b^{3} d^{2} f g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right)^{3} + \frac{3}{4} \, {\left(x e + d\right)}^{4} b^{3} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - 3 \, {\left(x e + d\right)}^{3} b^{3} d g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + \frac{9}{2} \, {\left(x e + d\right)}^{2} b^{3} d^{2} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - 3 \, {\left(x e + d\right)} b^{3} d^{3} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + \frac{3}{32} \, {\left(x e + d\right)}^{4} b^{3} g^{3} n^{3} e^{\left(-4\right)} \log\left(x e + d\right) - \frac{2}{3} \, {\left(x e + d\right)}^{3} b^{3} d g^{3} n^{3} e^{\left(-4\right)} \log\left(x e + d\right) + \frac{9}{4} \, {\left(x e + d\right)}^{2} b^{3} d^{2} g^{3} n^{3} e^{\left(-4\right)} \log\left(x e + d\right) - 6 \, {\left(x e + d\right)} b^{3} d^{3} g^{3} n^{3} e^{\left(-4\right)} \log\left(x e + d\right) - {\left(x e + d\right)}^{3} b^{3} f g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right)^{2} + \frac{9}{2} \, {\left(x e + d\right)}^{2} b^{3} d f g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right)^{2} - 9 \, {\left(x e + d\right)} b^{3} d^{2} f g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right)^{2} + \frac{3}{4} \, {\left(x e + d\right)}^{4} a b^{2} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right)^{2} - 3 \, {\left(x e + d\right)}^{3} a b^{2} d g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right)^{2} + \frac{9}{2} \, {\left(x e + d\right)}^{2} a b^{2} d^{2} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right)^{2} - 3 \, {\left(x e + d\right)} a b^{2} d^{3} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right)^{2} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} f^{2} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{3} - 3 \, {\left(x e + d\right)} b^{3} d f^{2} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{3} - \frac{3}{8} \, {\left(x e + d\right)}^{4} b^{3} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right) + 2 \, {\left(x e + d\right)}^{3} b^{3} d g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right) - \frac{9}{2} \, {\left(x e + d\right)}^{2} b^{3} d^{2} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right) + 6 \, {\left(x e + d\right)} b^{3} d^{3} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right) + 3 \, {\left(x e + d\right)}^{3} b^{3} f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - 9 \, {\left(x e + d\right)}^{2} b^{3} d f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + 9 \, {\left(x e + d\right)} b^{3} d^{2} f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + \frac{3}{4} \, {\left(x e + d\right)}^{4} b^{3} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)}^{3} b^{3} d g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + \frac{9}{2} \, {\left(x e + d\right)}^{2} b^{3} d^{2} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)} b^{3} d^{3} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - \frac{3}{128} \, {\left(x e + d\right)}^{4} b^{3} g^{3} n^{3} e^{\left(-4\right)} + \frac{2}{9} \, {\left(x e + d\right)}^{3} b^{3} d g^{3} n^{3} e^{\left(-4\right)} - \frac{9}{8} \, {\left(x e + d\right)}^{2} b^{3} d^{2} g^{3} n^{3} e^{\left(-4\right)} + 6 \, {\left(x e + d\right)} b^{3} d^{3} g^{3} n^{3} e^{\left(-4\right)} + \frac{2}{3} \, {\left(x e + d\right)}^{3} b^{3} f g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right) - \frac{9}{2} \, {\left(x e + d\right)}^{2} b^{3} d f g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right) + 18 \, {\left(x e + d\right)} b^{3} d^{2} f g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right) - \frac{3}{8} \, {\left(x e + d\right)}^{4} a b^{2} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)}^{3} a b^{2} d g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right) - \frac{9}{2} \, {\left(x e + d\right)}^{2} a b^{2} d^{2} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} a b^{2} d^{3} g^{3} n^{2} e^{\left(-4\right)} \log\left(x e + d\right) - \frac{9}{4} \, {\left(x e + d\right)}^{2} b^{3} f^{2} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{2} + 9 \, {\left(x e + d\right)} b^{3} d f^{2} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{2} + 3 \, {\left(x e + d\right)}^{3} a b^{2} f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} - 9 \, {\left(x e + d\right)}^{2} a b^{2} d f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} + 9 \, {\left(x e + d\right)} a b^{2} d^{2} f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} + {\left(x e + d\right)} b^{3} f^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{3} + \frac{3}{32} \, {\left(x e + d\right)}^{4} b^{3} g^{3} n^{2} e^{\left(-4\right)} \log\left(c\right) - \frac{2}{3} \, {\left(x e + d\right)}^{3} b^{3} d g^{3} n^{2} e^{\left(-4\right)} \log\left(c\right) + \frac{9}{4} \, {\left(x e + d\right)}^{2} b^{3} d^{2} g^{3} n^{2} e^{\left(-4\right)} \log\left(c\right) - 6 \, {\left(x e + d\right)} b^{3} d^{3} g^{3} n^{2} e^{\left(-4\right)} \log\left(c\right) - 2 \, {\left(x e + d\right)}^{3} b^{3} f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + 9 \, {\left(x e + d\right)}^{2} b^{3} d f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) - 18 \, {\left(x e + d\right)} b^{3} d^{2} f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + \frac{3}{2} \, {\left(x e + d\right)}^{4} a b^{2} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right) - 6 \, {\left(x e + d\right)}^{3} a b^{2} d g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right) + 9 \, {\left(x e + d\right)}^{2} a b^{2} d^{2} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right) - 6 \, {\left(x e + d\right)} a b^{2} d^{3} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) \log\left(c\right) + \frac{9}{2} \, {\left(x e + d\right)}^{2} b^{3} f^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - 9 \, {\left(x e + d\right)} b^{3} d f^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - \frac{3}{16} \, {\left(x e + d\right)}^{4} b^{3} g^{3} n e^{\left(-4\right)} \log\left(c\right)^{2} + {\left(x e + d\right)}^{3} b^{3} d g^{3} n e^{\left(-4\right)} \log\left(c\right)^{2} - \frac{9}{4} \, {\left(x e + d\right)}^{2} b^{3} d^{2} g^{3} n e^{\left(-4\right)} \log\left(c\right)^{2} + 3 \, {\left(x e + d\right)} b^{3} d^{3} g^{3} n e^{\left(-4\right)} \log\left(c\right)^{2} + 3 \, {\left(x e + d\right)}^{3} b^{3} f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - 9 \, {\left(x e + d\right)}^{2} b^{3} d f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + 9 \, {\left(x e + d\right)} b^{3} d^{2} f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + \frac{1}{4} \, {\left(x e + d\right)}^{4} b^{3} g^{3} e^{\left(-4\right)} \log\left(c\right)^{3} - {\left(x e + d\right)}^{3} b^{3} d g^{3} e^{\left(-4\right)} \log\left(c\right)^{3} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} d^{2} g^{3} e^{\left(-4\right)} \log\left(c\right)^{3} - {\left(x e + d\right)} b^{3} d^{3} g^{3} e^{\left(-4\right)} \log\left(c\right)^{3} - \frac{2}{9} \, {\left(x e + d\right)}^{3} b^{3} f g^{2} n^{3} e^{\left(-3\right)} + \frac{9}{4} \, {\left(x e + d\right)}^{2} b^{3} d f g^{2} n^{3} e^{\left(-3\right)} - 18 \, {\left(x e + d\right)} b^{3} d^{2} f g^{2} n^{3} e^{\left(-3\right)} + \frac{3}{32} \, {\left(x e + d\right)}^{4} a b^{2} g^{3} n^{2} e^{\left(-4\right)} - \frac{2}{3} \, {\left(x e + d\right)}^{3} a b^{2} d g^{3} n^{2} e^{\left(-4\right)} + \frac{9}{4} \, {\left(x e + d\right)}^{2} a b^{2} d^{2} g^{3} n^{2} e^{\left(-4\right)} - 6 \, {\left(x e + d\right)} a b^{2} d^{3} g^{3} n^{2} e^{\left(-4\right)} + \frac{9}{4} \, {\left(x e + d\right)}^{2} b^{3} f^{2} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right) - 18 \, {\left(x e + d\right)} b^{3} d f^{2} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)}^{3} a b^{2} f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) + 9 \, {\left(x e + d\right)}^{2} a b^{2} d f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) - 18 \, {\left(x e + d\right)} a b^{2} d^{2} f g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) + \frac{3}{4} \, {\left(x e + d\right)}^{4} a^{2} b g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) - 3 \, {\left(x e + d\right)}^{3} a^{2} b d g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) + \frac{9}{2} \, {\left(x e + d\right)}^{2} a^{2} b d^{2} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) - 3 \, {\left(x e + d\right)} a^{2} b d^{3} g^{3} n e^{\left(-4\right)} \log\left(x e + d\right) - 3 \, {\left(x e + d\right)} b^{3} f^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + \frac{9}{2} \, {\left(x e + d\right)}^{2} a b^{2} f^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - 9 \, {\left(x e + d\right)} a b^{2} d f^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} + \frac{2}{3} \, {\left(x e + d\right)}^{3} b^{3} f g^{2} n^{2} e^{\left(-3\right)} \log\left(c\right) - \frac{9}{2} \, {\left(x e + d\right)}^{2} b^{3} d f g^{2} n^{2} e^{\left(-3\right)} \log\left(c\right) + 18 \, {\left(x e + d\right)} b^{3} d^{2} f g^{2} n^{2} e^{\left(-3\right)} \log\left(c\right) - \frac{3}{8} \, {\left(x e + d\right)}^{4} a b^{2} g^{3} n e^{\left(-4\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)}^{3} a b^{2} d g^{3} n e^{\left(-4\right)} \log\left(c\right) - \frac{9}{2} \, {\left(x e + d\right)}^{2} a b^{2} d^{2} g^{3} n e^{\left(-4\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} a b^{2} d^{3} g^{3} n e^{\left(-4\right)} \log\left(c\right) - \frac{9}{2} \, {\left(x e + d\right)}^{2} b^{3} f^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) + 18 \, {\left(x e + d\right)} b^{3} d f^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) + 6 \, {\left(x e + d\right)}^{3} a b^{2} f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) - 18 \, {\left(x e + d\right)}^{2} a b^{2} d f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + 18 \, {\left(x e + d\right)} a b^{2} d^{2} f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + 3 \, {\left(x e + d\right)} b^{3} f^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - {\left(x e + d\right)}^{3} b^{3} f g^{2} n e^{\left(-3\right)} \log\left(c\right)^{2} + \frac{9}{2} \, {\left(x e + d\right)}^{2} b^{3} d f g^{2} n e^{\left(-3\right)} \log\left(c\right)^{2} - 9 \, {\left(x e + d\right)} b^{3} d^{2} f g^{2} n e^{\left(-3\right)} \log\left(c\right)^{2} + \frac{3}{4} \, {\left(x e + d\right)}^{4} a b^{2} g^{3} e^{\left(-4\right)} \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)}^{3} a b^{2} d g^{3} e^{\left(-4\right)} \log\left(c\right)^{2} + \frac{9}{2} \, {\left(x e + d\right)}^{2} a b^{2} d^{2} g^{3} e^{\left(-4\right)} \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)} a b^{2} d^{3} g^{3} e^{\left(-4\right)} \log\left(c\right)^{2} + \frac{9}{2} \, {\left(x e + d\right)}^{2} b^{3} f^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - 9 \, {\left(x e + d\right)} b^{3} d f^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + {\left(x e + d\right)}^{3} b^{3} f g^{2} e^{\left(-3\right)} \log\left(c\right)^{3} - 3 \, {\left(x e + d\right)}^{2} b^{3} d f g^{2} e^{\left(-3\right)} \log\left(c\right)^{3} + 3 \, {\left(x e + d\right)} b^{3} d^{2} f g^{2} e^{\left(-3\right)} \log\left(c\right)^{3} - \frac{9}{8} \, {\left(x e + d\right)}^{2} b^{3} f^{2} g n^{3} e^{\left(-2\right)} + 18 \, {\left(x e + d\right)} b^{3} d f^{2} g n^{3} e^{\left(-2\right)} + \frac{2}{3} \, {\left(x e + d\right)}^{3} a b^{2} f g^{2} n^{2} e^{\left(-3\right)} - \frac{9}{2} \, {\left(x e + d\right)}^{2} a b^{2} d f g^{2} n^{2} e^{\left(-3\right)} + 18 \, {\left(x e + d\right)} a b^{2} d^{2} f g^{2} n^{2} e^{\left(-3\right)} - \frac{3}{16} \, {\left(x e + d\right)}^{4} a^{2} b g^{3} n e^{\left(-4\right)} + {\left(x e + d\right)}^{3} a^{2} b d g^{3} n e^{\left(-4\right)} - \frac{9}{4} \, {\left(x e + d\right)}^{2} a^{2} b d^{2} g^{3} n e^{\left(-4\right)} + 3 \, {\left(x e + d\right)} a^{2} b d^{3} g^{3} n e^{\left(-4\right)} + 6 \, {\left(x e + d\right)} b^{3} f^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right) - \frac{9}{2} \, {\left(x e + d\right)}^{2} a b^{2} f^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + 18 \, {\left(x e + d\right)} a b^{2} d f^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)}^{3} a^{2} b f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) - 9 \, {\left(x e + d\right)}^{2} a^{2} b d f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + 9 \, {\left(x e + d\right)} a^{2} b d^{2} f g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)} a b^{2} f^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + \frac{9}{4} \, {\left(x e + d\right)}^{2} b^{3} f^{2} g n^{2} e^{\left(-2\right)} \log\left(c\right) - 18 \, {\left(x e + d\right)} b^{3} d f^{2} g n^{2} e^{\left(-2\right)} \log\left(c\right) - 2 \, {\left(x e + d\right)}^{3} a b^{2} f g^{2} n e^{\left(-3\right)} \log\left(c\right) + 9 \, {\left(x e + d\right)}^{2} a b^{2} d f g^{2} n e^{\left(-3\right)} \log\left(c\right) - 18 \, {\left(x e + d\right)} a b^{2} d^{2} f g^{2} n e^{\left(-3\right)} \log\left(c\right) + \frac{3}{4} \, {\left(x e + d\right)}^{4} a^{2} b g^{3} e^{\left(-4\right)} \log\left(c\right) - 3 \, {\left(x e + d\right)}^{3} a^{2} b d g^{3} e^{\left(-4\right)} \log\left(c\right) + \frac{9}{2} \, {\left(x e + d\right)}^{2} a^{2} b d^{2} g^{3} e^{\left(-4\right)} \log\left(c\right) - 3 \, {\left(x e + d\right)} a^{2} b d^{3} g^{3} e^{\left(-4\right)} \log\left(c\right) - 6 \, {\left(x e + d\right)} b^{3} f^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + 9 \, {\left(x e + d\right)}^{2} a b^{2} f^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) - 18 \, {\left(x e + d\right)} a b^{2} d f^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) - \frac{9}{4} \, {\left(x e + d\right)}^{2} b^{3} f^{2} g n e^{\left(-2\right)} \log\left(c\right)^{2} + 9 \, {\left(x e + d\right)} b^{3} d f^{2} g n e^{\left(-2\right)} \log\left(c\right)^{2} + 3 \, {\left(x e + d\right)}^{3} a b^{2} f g^{2} e^{\left(-3\right)} \log\left(c\right)^{2} - 9 \, {\left(x e + d\right)}^{2} a b^{2} d f g^{2} e^{\left(-3\right)} \log\left(c\right)^{2} + 9 \, {\left(x e + d\right)} a b^{2} d^{2} f g^{2} e^{\left(-3\right)} \log\left(c\right)^{2} + 3 \, {\left(x e + d\right)} b^{3} f^{3} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} f^{2} g e^{\left(-2\right)} \log\left(c\right)^{3} - 3 \, {\left(x e + d\right)} b^{3} d f^{2} g e^{\left(-2\right)} \log\left(c\right)^{3} - 6 \, {\left(x e + d\right)} b^{3} f^{3} n^{3} e^{\left(-1\right)} + \frac{9}{4} \, {\left(x e + d\right)}^{2} a b^{2} f^{2} g n^{2} e^{\left(-2\right)} - 18 \, {\left(x e + d\right)} a b^{2} d f^{2} g n^{2} e^{\left(-2\right)} - {\left(x e + d\right)}^{3} a^{2} b f g^{2} n e^{\left(-3\right)} + \frac{9}{2} \, {\left(x e + d\right)}^{2} a^{2} b d f g^{2} n e^{\left(-3\right)} - 9 \, {\left(x e + d\right)} a^{2} b d^{2} f g^{2} n e^{\left(-3\right)} + \frac{1}{4} \, {\left(x e + d\right)}^{4} a^{3} g^{3} e^{\left(-4\right)} - {\left(x e + d\right)}^{3} a^{3} d g^{3} e^{\left(-4\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} a^{3} d^{2} g^{3} e^{\left(-4\right)} - {\left(x e + d\right)} a^{3} d^{3} g^{3} e^{\left(-4\right)} - 6 \, {\left(x e + d\right)} a b^{2} f^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + \frac{9}{2} \, {\left(x e + d\right)}^{2} a^{2} b f^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) - 9 \, {\left(x e + d\right)} a^{2} b d f^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} b^{3} f^{3} n^{2} e^{\left(-1\right)} \log\left(c\right) - \frac{9}{2} \, {\left(x e + d\right)}^{2} a b^{2} f^{2} g n e^{\left(-2\right)} \log\left(c\right) + 18 \, {\left(x e + d\right)} a b^{2} d f^{2} g n e^{\left(-2\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)}^{3} a^{2} b f g^{2} e^{\left(-3\right)} \log\left(c\right) - 9 \, {\left(x e + d\right)}^{2} a^{2} b d f g^{2} e^{\left(-3\right)} \log\left(c\right) + 9 \, {\left(x e + d\right)} a^{2} b d^{2} f g^{2} e^{\left(-3\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} a b^{2} f^{3} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) - 3 \, {\left(x e + d\right)} b^{3} f^{3} n e^{\left(-1\right)} \log\left(c\right)^{2} + \frac{9}{2} \, {\left(x e + d\right)}^{2} a b^{2} f^{2} g e^{\left(-2\right)} \log\left(c\right)^{2} - 9 \, {\left(x e + d\right)} a b^{2} d f^{2} g e^{\left(-2\right)} \log\left(c\right)^{2} + {\left(x e + d\right)} b^{3} f^{3} e^{\left(-1\right)} \log\left(c\right)^{3} + 6 \, {\left(x e + d\right)} a b^{2} f^{3} n^{2} e^{\left(-1\right)} - \frac{9}{4} \, {\left(x e + d\right)}^{2} a^{2} b f^{2} g n e^{\left(-2\right)} + 9 \, {\left(x e + d\right)} a^{2} b d f^{2} g n e^{\left(-2\right)} + {\left(x e + d\right)}^{3} a^{3} f g^{2} e^{\left(-3\right)} - 3 \, {\left(x e + d\right)}^{2} a^{3} d f g^{2} e^{\left(-3\right)} + 3 \, {\left(x e + d\right)} a^{3} d^{2} f g^{2} e^{\left(-3\right)} + 3 \, {\left(x e + d\right)} a^{2} b f^{3} n e^{\left(-1\right)} \log\left(x e + d\right) - 6 \, {\left(x e + d\right)} a b^{2} f^{3} n e^{\left(-1\right)} \log\left(c\right) + \frac{9}{2} \, {\left(x e + d\right)}^{2} a^{2} b f^{2} g e^{\left(-2\right)} \log\left(c\right) - 9 \, {\left(x e + d\right)} a^{2} b d f^{2} g e^{\left(-2\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)} a b^{2} f^{3} e^{\left(-1\right)} \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)} a^{2} b f^{3} n e^{\left(-1\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} a^{3} f^{2} g e^{\left(-2\right)} - 3 \, {\left(x e + d\right)} a^{3} d f^{2} g e^{\left(-2\right)} + 3 \, {\left(x e + d\right)} a^{2} b f^{3} e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a^{3} f^{3} e^{\left(-1\right)}"," ",0,"1/4*(x*e + d)^4*b^3*g^3*n^3*e^(-4)*log(x*e + d)^3 - (x*e + d)^3*b^3*d*g^3*n^3*e^(-4)*log(x*e + d)^3 + 3/2*(x*e + d)^2*b^3*d^2*g^3*n^3*e^(-4)*log(x*e + d)^3 - (x*e + d)*b^3*d^3*g^3*n^3*e^(-4)*log(x*e + d)^3 - 3/16*(x*e + d)^4*b^3*g^3*n^3*e^(-4)*log(x*e + d)^2 + (x*e + d)^3*b^3*d*g^3*n^3*e^(-4)*log(x*e + d)^2 - 9/4*(x*e + d)^2*b^3*d^2*g^3*n^3*e^(-4)*log(x*e + d)^2 + 3*(x*e + d)*b^3*d^3*g^3*n^3*e^(-4)*log(x*e + d)^2 + (x*e + d)^3*b^3*f*g^2*n^3*e^(-3)*log(x*e + d)^3 - 3*(x*e + d)^2*b^3*d*f*g^2*n^3*e^(-3)*log(x*e + d)^3 + 3*(x*e + d)*b^3*d^2*f*g^2*n^3*e^(-3)*log(x*e + d)^3 + 3/4*(x*e + d)^4*b^3*g^3*n^2*e^(-4)*log(x*e + d)^2*log(c) - 3*(x*e + d)^3*b^3*d*g^3*n^2*e^(-4)*log(x*e + d)^2*log(c) + 9/2*(x*e + d)^2*b^3*d^2*g^3*n^2*e^(-4)*log(x*e + d)^2*log(c) - 3*(x*e + d)*b^3*d^3*g^3*n^2*e^(-4)*log(x*e + d)^2*log(c) + 3/32*(x*e + d)^4*b^3*g^3*n^3*e^(-4)*log(x*e + d) - 2/3*(x*e + d)^3*b^3*d*g^3*n^3*e^(-4)*log(x*e + d) + 9/4*(x*e + d)^2*b^3*d^2*g^3*n^3*e^(-4)*log(x*e + d) - 6*(x*e + d)*b^3*d^3*g^3*n^3*e^(-4)*log(x*e + d) - (x*e + d)^3*b^3*f*g^2*n^3*e^(-3)*log(x*e + d)^2 + 9/2*(x*e + d)^2*b^3*d*f*g^2*n^3*e^(-3)*log(x*e + d)^2 - 9*(x*e + d)*b^3*d^2*f*g^2*n^3*e^(-3)*log(x*e + d)^2 + 3/4*(x*e + d)^4*a*b^2*g^3*n^2*e^(-4)*log(x*e + d)^2 - 3*(x*e + d)^3*a*b^2*d*g^3*n^2*e^(-4)*log(x*e + d)^2 + 9/2*(x*e + d)^2*a*b^2*d^2*g^3*n^2*e^(-4)*log(x*e + d)^2 - 3*(x*e + d)*a*b^2*d^3*g^3*n^2*e^(-4)*log(x*e + d)^2 + 3/2*(x*e + d)^2*b^3*f^2*g*n^3*e^(-2)*log(x*e + d)^3 - 3*(x*e + d)*b^3*d*f^2*g*n^3*e^(-2)*log(x*e + d)^3 - 3/8*(x*e + d)^4*b^3*g^3*n^2*e^(-4)*log(x*e + d)*log(c) + 2*(x*e + d)^3*b^3*d*g^3*n^2*e^(-4)*log(x*e + d)*log(c) - 9/2*(x*e + d)^2*b^3*d^2*g^3*n^2*e^(-4)*log(x*e + d)*log(c) + 6*(x*e + d)*b^3*d^3*g^3*n^2*e^(-4)*log(x*e + d)*log(c) + 3*(x*e + d)^3*b^3*f*g^2*n^2*e^(-3)*log(x*e + d)^2*log(c) - 9*(x*e + d)^2*b^3*d*f*g^2*n^2*e^(-3)*log(x*e + d)^2*log(c) + 9*(x*e + d)*b^3*d^2*f*g^2*n^2*e^(-3)*log(x*e + d)^2*log(c) + 3/4*(x*e + d)^4*b^3*g^3*n*e^(-4)*log(x*e + d)*log(c)^2 - 3*(x*e + d)^3*b^3*d*g^3*n*e^(-4)*log(x*e + d)*log(c)^2 + 9/2*(x*e + d)^2*b^3*d^2*g^3*n*e^(-4)*log(x*e + d)*log(c)^2 - 3*(x*e + d)*b^3*d^3*g^3*n*e^(-4)*log(x*e + d)*log(c)^2 - 3/128*(x*e + d)^4*b^3*g^3*n^3*e^(-4) + 2/9*(x*e + d)^3*b^3*d*g^3*n^3*e^(-4) - 9/8*(x*e + d)^2*b^3*d^2*g^3*n^3*e^(-4) + 6*(x*e + d)*b^3*d^3*g^3*n^3*e^(-4) + 2/3*(x*e + d)^3*b^3*f*g^2*n^3*e^(-3)*log(x*e + d) - 9/2*(x*e + d)^2*b^3*d*f*g^2*n^3*e^(-3)*log(x*e + d) + 18*(x*e + d)*b^3*d^2*f*g^2*n^3*e^(-3)*log(x*e + d) - 3/8*(x*e + d)^4*a*b^2*g^3*n^2*e^(-4)*log(x*e + d) + 2*(x*e + d)^3*a*b^2*d*g^3*n^2*e^(-4)*log(x*e + d) - 9/2*(x*e + d)^2*a*b^2*d^2*g^3*n^2*e^(-4)*log(x*e + d) + 6*(x*e + d)*a*b^2*d^3*g^3*n^2*e^(-4)*log(x*e + d) - 9/4*(x*e + d)^2*b^3*f^2*g*n^3*e^(-2)*log(x*e + d)^2 + 9*(x*e + d)*b^3*d*f^2*g*n^3*e^(-2)*log(x*e + d)^2 + 3*(x*e + d)^3*a*b^2*f*g^2*n^2*e^(-3)*log(x*e + d)^2 - 9*(x*e + d)^2*a*b^2*d*f*g^2*n^2*e^(-3)*log(x*e + d)^2 + 9*(x*e + d)*a*b^2*d^2*f*g^2*n^2*e^(-3)*log(x*e + d)^2 + (x*e + d)*b^3*f^3*n^3*e^(-1)*log(x*e + d)^3 + 3/32*(x*e + d)^4*b^3*g^3*n^2*e^(-4)*log(c) - 2/3*(x*e + d)^3*b^3*d*g^3*n^2*e^(-4)*log(c) + 9/4*(x*e + d)^2*b^3*d^2*g^3*n^2*e^(-4)*log(c) - 6*(x*e + d)*b^3*d^3*g^3*n^2*e^(-4)*log(c) - 2*(x*e + d)^3*b^3*f*g^2*n^2*e^(-3)*log(x*e + d)*log(c) + 9*(x*e + d)^2*b^3*d*f*g^2*n^2*e^(-3)*log(x*e + d)*log(c) - 18*(x*e + d)*b^3*d^2*f*g^2*n^2*e^(-3)*log(x*e + d)*log(c) + 3/2*(x*e + d)^4*a*b^2*g^3*n*e^(-4)*log(x*e + d)*log(c) - 6*(x*e + d)^3*a*b^2*d*g^3*n*e^(-4)*log(x*e + d)*log(c) + 9*(x*e + d)^2*a*b^2*d^2*g^3*n*e^(-4)*log(x*e + d)*log(c) - 6*(x*e + d)*a*b^2*d^3*g^3*n*e^(-4)*log(x*e + d)*log(c) + 9/2*(x*e + d)^2*b^3*f^2*g*n^2*e^(-2)*log(x*e + d)^2*log(c) - 9*(x*e + d)*b^3*d*f^2*g*n^2*e^(-2)*log(x*e + d)^2*log(c) - 3/16*(x*e + d)^4*b^3*g^3*n*e^(-4)*log(c)^2 + (x*e + d)^3*b^3*d*g^3*n*e^(-4)*log(c)^2 - 9/4*(x*e + d)^2*b^3*d^2*g^3*n*e^(-4)*log(c)^2 + 3*(x*e + d)*b^3*d^3*g^3*n*e^(-4)*log(c)^2 + 3*(x*e + d)^3*b^3*f*g^2*n*e^(-3)*log(x*e + d)*log(c)^2 - 9*(x*e + d)^2*b^3*d*f*g^2*n*e^(-3)*log(x*e + d)*log(c)^2 + 9*(x*e + d)*b^3*d^2*f*g^2*n*e^(-3)*log(x*e + d)*log(c)^2 + 1/4*(x*e + d)^4*b^3*g^3*e^(-4)*log(c)^3 - (x*e + d)^3*b^3*d*g^3*e^(-4)*log(c)^3 + 3/2*(x*e + d)^2*b^3*d^2*g^3*e^(-4)*log(c)^3 - (x*e + d)*b^3*d^3*g^3*e^(-4)*log(c)^3 - 2/9*(x*e + d)^3*b^3*f*g^2*n^3*e^(-3) + 9/4*(x*e + d)^2*b^3*d*f*g^2*n^3*e^(-3) - 18*(x*e + d)*b^3*d^2*f*g^2*n^3*e^(-3) + 3/32*(x*e + d)^4*a*b^2*g^3*n^2*e^(-4) - 2/3*(x*e + d)^3*a*b^2*d*g^3*n^2*e^(-4) + 9/4*(x*e + d)^2*a*b^2*d^2*g^3*n^2*e^(-4) - 6*(x*e + d)*a*b^2*d^3*g^3*n^2*e^(-4) + 9/4*(x*e + d)^2*b^3*f^2*g*n^3*e^(-2)*log(x*e + d) - 18*(x*e + d)*b^3*d*f^2*g*n^3*e^(-2)*log(x*e + d) - 2*(x*e + d)^3*a*b^2*f*g^2*n^2*e^(-3)*log(x*e + d) + 9*(x*e + d)^2*a*b^2*d*f*g^2*n^2*e^(-3)*log(x*e + d) - 18*(x*e + d)*a*b^2*d^2*f*g^2*n^2*e^(-3)*log(x*e + d) + 3/4*(x*e + d)^4*a^2*b*g^3*n*e^(-4)*log(x*e + d) - 3*(x*e + d)^3*a^2*b*d*g^3*n*e^(-4)*log(x*e + d) + 9/2*(x*e + d)^2*a^2*b*d^2*g^3*n*e^(-4)*log(x*e + d) - 3*(x*e + d)*a^2*b*d^3*g^3*n*e^(-4)*log(x*e + d) - 3*(x*e + d)*b^3*f^3*n^3*e^(-1)*log(x*e + d)^2 + 9/2*(x*e + d)^2*a*b^2*f^2*g*n^2*e^(-2)*log(x*e + d)^2 - 9*(x*e + d)*a*b^2*d*f^2*g*n^2*e^(-2)*log(x*e + d)^2 + 2/3*(x*e + d)^3*b^3*f*g^2*n^2*e^(-3)*log(c) - 9/2*(x*e + d)^2*b^3*d*f*g^2*n^2*e^(-3)*log(c) + 18*(x*e + d)*b^3*d^2*f*g^2*n^2*e^(-3)*log(c) - 3/8*(x*e + d)^4*a*b^2*g^3*n*e^(-4)*log(c) + 2*(x*e + d)^3*a*b^2*d*g^3*n*e^(-4)*log(c) - 9/2*(x*e + d)^2*a*b^2*d^2*g^3*n*e^(-4)*log(c) + 6*(x*e + d)*a*b^2*d^3*g^3*n*e^(-4)*log(c) - 9/2*(x*e + d)^2*b^3*f^2*g*n^2*e^(-2)*log(x*e + d)*log(c) + 18*(x*e + d)*b^3*d*f^2*g*n^2*e^(-2)*log(x*e + d)*log(c) + 6*(x*e + d)^3*a*b^2*f*g^2*n*e^(-3)*log(x*e + d)*log(c) - 18*(x*e + d)^2*a*b^2*d*f*g^2*n*e^(-3)*log(x*e + d)*log(c) + 18*(x*e + d)*a*b^2*d^2*f*g^2*n*e^(-3)*log(x*e + d)*log(c) + 3*(x*e + d)*b^3*f^3*n^2*e^(-1)*log(x*e + d)^2*log(c) - (x*e + d)^3*b^3*f*g^2*n*e^(-3)*log(c)^2 + 9/2*(x*e + d)^2*b^3*d*f*g^2*n*e^(-3)*log(c)^2 - 9*(x*e + d)*b^3*d^2*f*g^2*n*e^(-3)*log(c)^2 + 3/4*(x*e + d)^4*a*b^2*g^3*e^(-4)*log(c)^2 - 3*(x*e + d)^3*a*b^2*d*g^3*e^(-4)*log(c)^2 + 9/2*(x*e + d)^2*a*b^2*d^2*g^3*e^(-4)*log(c)^2 - 3*(x*e + d)*a*b^2*d^3*g^3*e^(-4)*log(c)^2 + 9/2*(x*e + d)^2*b^3*f^2*g*n*e^(-2)*log(x*e + d)*log(c)^2 - 9*(x*e + d)*b^3*d*f^2*g*n*e^(-2)*log(x*e + d)*log(c)^2 + (x*e + d)^3*b^3*f*g^2*e^(-3)*log(c)^3 - 3*(x*e + d)^2*b^3*d*f*g^2*e^(-3)*log(c)^3 + 3*(x*e + d)*b^3*d^2*f*g^2*e^(-3)*log(c)^3 - 9/8*(x*e + d)^2*b^3*f^2*g*n^3*e^(-2) + 18*(x*e + d)*b^3*d*f^2*g*n^3*e^(-2) + 2/3*(x*e + d)^3*a*b^2*f*g^2*n^2*e^(-3) - 9/2*(x*e + d)^2*a*b^2*d*f*g^2*n^2*e^(-3) + 18*(x*e + d)*a*b^2*d^2*f*g^2*n^2*e^(-3) - 3/16*(x*e + d)^4*a^2*b*g^3*n*e^(-4) + (x*e + d)^3*a^2*b*d*g^3*n*e^(-4) - 9/4*(x*e + d)^2*a^2*b*d^2*g^3*n*e^(-4) + 3*(x*e + d)*a^2*b*d^3*g^3*n*e^(-4) + 6*(x*e + d)*b^3*f^3*n^3*e^(-1)*log(x*e + d) - 9/2*(x*e + d)^2*a*b^2*f^2*g*n^2*e^(-2)*log(x*e + d) + 18*(x*e + d)*a*b^2*d*f^2*g*n^2*e^(-2)*log(x*e + d) + 3*(x*e + d)^3*a^2*b*f*g^2*n*e^(-3)*log(x*e + d) - 9*(x*e + d)^2*a^2*b*d*f*g^2*n*e^(-3)*log(x*e + d) + 9*(x*e + d)*a^2*b*d^2*f*g^2*n*e^(-3)*log(x*e + d) + 3*(x*e + d)*a*b^2*f^3*n^2*e^(-1)*log(x*e + d)^2 + 9/4*(x*e + d)^2*b^3*f^2*g*n^2*e^(-2)*log(c) - 18*(x*e + d)*b^3*d*f^2*g*n^2*e^(-2)*log(c) - 2*(x*e + d)^3*a*b^2*f*g^2*n*e^(-3)*log(c) + 9*(x*e + d)^2*a*b^2*d*f*g^2*n*e^(-3)*log(c) - 18*(x*e + d)*a*b^2*d^2*f*g^2*n*e^(-3)*log(c) + 3/4*(x*e + d)^4*a^2*b*g^3*e^(-4)*log(c) - 3*(x*e + d)^3*a^2*b*d*g^3*e^(-4)*log(c) + 9/2*(x*e + d)^2*a^2*b*d^2*g^3*e^(-4)*log(c) - 3*(x*e + d)*a^2*b*d^3*g^3*e^(-4)*log(c) - 6*(x*e + d)*b^3*f^3*n^2*e^(-1)*log(x*e + d)*log(c) + 9*(x*e + d)^2*a*b^2*f^2*g*n*e^(-2)*log(x*e + d)*log(c) - 18*(x*e + d)*a*b^2*d*f^2*g*n*e^(-2)*log(x*e + d)*log(c) - 9/4*(x*e + d)^2*b^3*f^2*g*n*e^(-2)*log(c)^2 + 9*(x*e + d)*b^3*d*f^2*g*n*e^(-2)*log(c)^2 + 3*(x*e + d)^3*a*b^2*f*g^2*e^(-3)*log(c)^2 - 9*(x*e + d)^2*a*b^2*d*f*g^2*e^(-3)*log(c)^2 + 9*(x*e + d)*a*b^2*d^2*f*g^2*e^(-3)*log(c)^2 + 3*(x*e + d)*b^3*f^3*n*e^(-1)*log(x*e + d)*log(c)^2 + 3/2*(x*e + d)^2*b^3*f^2*g*e^(-2)*log(c)^3 - 3*(x*e + d)*b^3*d*f^2*g*e^(-2)*log(c)^3 - 6*(x*e + d)*b^3*f^3*n^3*e^(-1) + 9/4*(x*e + d)^2*a*b^2*f^2*g*n^2*e^(-2) - 18*(x*e + d)*a*b^2*d*f^2*g*n^2*e^(-2) - (x*e + d)^3*a^2*b*f*g^2*n*e^(-3) + 9/2*(x*e + d)^2*a^2*b*d*f*g^2*n*e^(-3) - 9*(x*e + d)*a^2*b*d^2*f*g^2*n*e^(-3) + 1/4*(x*e + d)^4*a^3*g^3*e^(-4) - (x*e + d)^3*a^3*d*g^3*e^(-4) + 3/2*(x*e + d)^2*a^3*d^2*g^3*e^(-4) - (x*e + d)*a^3*d^3*g^3*e^(-4) - 6*(x*e + d)*a*b^2*f^3*n^2*e^(-1)*log(x*e + d) + 9/2*(x*e + d)^2*a^2*b*f^2*g*n*e^(-2)*log(x*e + d) - 9*(x*e + d)*a^2*b*d*f^2*g*n*e^(-2)*log(x*e + d) + 6*(x*e + d)*b^3*f^3*n^2*e^(-1)*log(c) - 9/2*(x*e + d)^2*a*b^2*f^2*g*n*e^(-2)*log(c) + 18*(x*e + d)*a*b^2*d*f^2*g*n*e^(-2)*log(c) + 3*(x*e + d)^3*a^2*b*f*g^2*e^(-3)*log(c) - 9*(x*e + d)^2*a^2*b*d*f*g^2*e^(-3)*log(c) + 9*(x*e + d)*a^2*b*d^2*f*g^2*e^(-3)*log(c) + 6*(x*e + d)*a*b^2*f^3*n*e^(-1)*log(x*e + d)*log(c) - 3*(x*e + d)*b^3*f^3*n*e^(-1)*log(c)^2 + 9/2*(x*e + d)^2*a*b^2*f^2*g*e^(-2)*log(c)^2 - 9*(x*e + d)*a*b^2*d*f^2*g*e^(-2)*log(c)^2 + (x*e + d)*b^3*f^3*e^(-1)*log(c)^3 + 6*(x*e + d)*a*b^2*f^3*n^2*e^(-1) - 9/4*(x*e + d)^2*a^2*b*f^2*g*n*e^(-2) + 9*(x*e + d)*a^2*b*d*f^2*g*n*e^(-2) + (x*e + d)^3*a^3*f*g^2*e^(-3) - 3*(x*e + d)^2*a^3*d*f*g^2*e^(-3) + 3*(x*e + d)*a^3*d^2*f*g^2*e^(-3) + 3*(x*e + d)*a^2*b*f^3*n*e^(-1)*log(x*e + d) - 6*(x*e + d)*a*b^2*f^3*n*e^(-1)*log(c) + 9/2*(x*e + d)^2*a^2*b*f^2*g*e^(-2)*log(c) - 9*(x*e + d)*a^2*b*d*f^2*g*e^(-2)*log(c) + 3*(x*e + d)*a*b^2*f^3*e^(-1)*log(c)^2 - 3*(x*e + d)*a^2*b*f^3*n*e^(-1) + 3/2*(x*e + d)^2*a^3*f^2*g*e^(-2) - 3*(x*e + d)*a^3*d*f^2*g*e^(-2) + 3*(x*e + d)*a^2*b*f^3*e^(-1)*log(c) + (x*e + d)*a^3*f^3*e^(-1)","B",0
53,1,2992,0,0.436556," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""giac"")","\frac{1}{3} \, {\left(x e + d\right)}^{3} b^{3} g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right)^{3} - {\left(x e + d\right)}^{2} b^{3} d g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right)^{3} + {\left(x e + d\right)} b^{3} d^{2} g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right)^{3} - \frac{1}{3} \, {\left(x e + d\right)}^{3} b^{3} g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right)^{2} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} d g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right)^{2} - 3 \, {\left(x e + d\right)} b^{3} d^{2} g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right)^{2} + {\left(x e + d\right)}^{2} b^{3} f g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{3} - 2 \, {\left(x e + d\right)} b^{3} d f g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{3} + {\left(x e + d\right)}^{3} b^{3} g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - 3 \, {\left(x e + d\right)}^{2} b^{3} d g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + 3 \, {\left(x e + d\right)} b^{3} d^{2} g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + \frac{2}{9} \, {\left(x e + d\right)}^{3} b^{3} g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right) - \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} d g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} b^{3} d^{2} g^{2} n^{3} e^{\left(-3\right)} \log\left(x e + d\right) - \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} f g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{2} + 6 \, {\left(x e + d\right)} b^{3} d f g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{2} + {\left(x e + d\right)}^{3} a b^{2} g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} - 3 \, {\left(x e + d\right)}^{2} a b^{2} d g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} + 3 \, {\left(x e + d\right)} a b^{2} d^{2} g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} + {\left(x e + d\right)} b^{3} f^{2} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{3} - \frac{2}{3} \, {\left(x e + d\right)}^{3} b^{3} g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + 3 \, {\left(x e + d\right)}^{2} b^{3} d g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) - 6 \, {\left(x e + d\right)} b^{3} d^{2} g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + 3 \, {\left(x e + d\right)}^{2} b^{3} f g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - 6 \, {\left(x e + d\right)} b^{3} d f g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + {\left(x e + d\right)}^{3} b^{3} g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)}^{2} b^{3} d g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + 3 \, {\left(x e + d\right)} b^{3} d^{2} g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - \frac{2}{27} \, {\left(x e + d\right)}^{3} b^{3} g^{2} n^{3} e^{\left(-3\right)} + \frac{3}{4} \, {\left(x e + d\right)}^{2} b^{3} d g^{2} n^{3} e^{\left(-3\right)} - 6 \, {\left(x e + d\right)} b^{3} d^{2} g^{2} n^{3} e^{\left(-3\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} f g n^{3} e^{\left(-2\right)} \log\left(x e + d\right) - 12 \, {\left(x e + d\right)} b^{3} d f g n^{3} e^{\left(-2\right)} \log\left(x e + d\right) - \frac{2}{3} \, {\left(x e + d\right)}^{3} a b^{2} g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)}^{2} a b^{2} d g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) - 6 \, {\left(x e + d\right)} a b^{2} d^{2} g^{2} n^{2} e^{\left(-3\right)} \log\left(x e + d\right) - 3 \, {\left(x e + d\right)} b^{3} f^{2} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + 3 \, {\left(x e + d\right)}^{2} a b^{2} f g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - 6 \, {\left(x e + d\right)} a b^{2} d f g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} + \frac{2}{9} \, {\left(x e + d\right)}^{3} b^{3} g^{2} n^{2} e^{\left(-3\right)} \log\left(c\right) - \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} d g^{2} n^{2} e^{\left(-3\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} b^{3} d^{2} g^{2} n^{2} e^{\left(-3\right)} \log\left(c\right) - 3 \, {\left(x e + d\right)}^{2} b^{3} f g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) + 12 \, {\left(x e + d\right)} b^{3} d f g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) + 2 \, {\left(x e + d\right)}^{3} a b^{2} g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) - 6 \, {\left(x e + d\right)}^{2} a b^{2} d g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + 6 \, {\left(x e + d\right)} a b^{2} d^{2} g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + 3 \, {\left(x e + d\right)} b^{3} f^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - \frac{1}{3} \, {\left(x e + d\right)}^{3} b^{3} g^{2} n e^{\left(-3\right)} \log\left(c\right)^{2} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} d g^{2} n e^{\left(-3\right)} \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)} b^{3} d^{2} g^{2} n e^{\left(-3\right)} \log\left(c\right)^{2} + 3 \, {\left(x e + d\right)}^{2} b^{3} f g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - 6 \, {\left(x e + d\right)} b^{3} d f g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + \frac{1}{3} \, {\left(x e + d\right)}^{3} b^{3} g^{2} e^{\left(-3\right)} \log\left(c\right)^{3} - {\left(x e + d\right)}^{2} b^{3} d g^{2} e^{\left(-3\right)} \log\left(c\right)^{3} + {\left(x e + d\right)} b^{3} d^{2} g^{2} e^{\left(-3\right)} \log\left(c\right)^{3} - \frac{3}{4} \, {\left(x e + d\right)}^{2} b^{3} f g n^{3} e^{\left(-2\right)} + 12 \, {\left(x e + d\right)} b^{3} d f g n^{3} e^{\left(-2\right)} + \frac{2}{9} \, {\left(x e + d\right)}^{3} a b^{2} g^{2} n^{2} e^{\left(-3\right)} - \frac{3}{2} \, {\left(x e + d\right)}^{2} a b^{2} d g^{2} n^{2} e^{\left(-3\right)} + 6 \, {\left(x e + d\right)} a b^{2} d^{2} g^{2} n^{2} e^{\left(-3\right)} + 6 \, {\left(x e + d\right)} b^{3} f^{2} n^{3} e^{\left(-1\right)} \log\left(x e + d\right) - 3 \, {\left(x e + d\right)}^{2} a b^{2} f g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + 12 \, {\left(x e + d\right)} a b^{2} d f g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + {\left(x e + d\right)}^{3} a^{2} b g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) - 3 \, {\left(x e + d\right)}^{2} a^{2} b d g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)} a^{2} b d^{2} g^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)} a b^{2} f^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} f g n^{2} e^{\left(-2\right)} \log\left(c\right) - 12 \, {\left(x e + d\right)} b^{3} d f g n^{2} e^{\left(-2\right)} \log\left(c\right) - \frac{2}{3} \, {\left(x e + d\right)}^{3} a b^{2} g^{2} n e^{\left(-3\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)}^{2} a b^{2} d g^{2} n e^{\left(-3\right)} \log\left(c\right) - 6 \, {\left(x e + d\right)} a b^{2} d^{2} g^{2} n e^{\left(-3\right)} \log\left(c\right) - 6 \, {\left(x e + d\right)} b^{3} f^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + 6 \, {\left(x e + d\right)}^{2} a b^{2} f g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) - 12 \, {\left(x e + d\right)} a b^{2} d f g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) - \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} f g n e^{\left(-2\right)} \log\left(c\right)^{2} + 6 \, {\left(x e + d\right)} b^{3} d f g n e^{\left(-2\right)} \log\left(c\right)^{2} + {\left(x e + d\right)}^{3} a b^{2} g^{2} e^{\left(-3\right)} \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)}^{2} a b^{2} d g^{2} e^{\left(-3\right)} \log\left(c\right)^{2} + 3 \, {\left(x e + d\right)} a b^{2} d^{2} g^{2} e^{\left(-3\right)} \log\left(c\right)^{2} + 3 \, {\left(x e + d\right)} b^{3} f^{2} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + {\left(x e + d\right)}^{2} b^{3} f g e^{\left(-2\right)} \log\left(c\right)^{3} - 2 \, {\left(x e + d\right)} b^{3} d f g e^{\left(-2\right)} \log\left(c\right)^{3} - 6 \, {\left(x e + d\right)} b^{3} f^{2} n^{3} e^{\left(-1\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} a b^{2} f g n^{2} e^{\left(-2\right)} - 12 \, {\left(x e + d\right)} a b^{2} d f g n^{2} e^{\left(-2\right)} - \frac{1}{3} \, {\left(x e + d\right)}^{3} a^{2} b g^{2} n e^{\left(-3\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} a^{2} b d g^{2} n e^{\left(-3\right)} - 3 \, {\left(x e + d\right)} a^{2} b d^{2} g^{2} n e^{\left(-3\right)} - 6 \, {\left(x e + d\right)} a b^{2} f^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)}^{2} a^{2} b f g n e^{\left(-2\right)} \log\left(x e + d\right) - 6 \, {\left(x e + d\right)} a^{2} b d f g n e^{\left(-2\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} b^{3} f^{2} n^{2} e^{\left(-1\right)} \log\left(c\right) - 3 \, {\left(x e + d\right)}^{2} a b^{2} f g n e^{\left(-2\right)} \log\left(c\right) + 12 \, {\left(x e + d\right)} a b^{2} d f g n e^{\left(-2\right)} \log\left(c\right) + {\left(x e + d\right)}^{3} a^{2} b g^{2} e^{\left(-3\right)} \log\left(c\right) - 3 \, {\left(x e + d\right)}^{2} a^{2} b d g^{2} e^{\left(-3\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)} a^{2} b d^{2} g^{2} e^{\left(-3\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} a b^{2} f^{2} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) - 3 \, {\left(x e + d\right)} b^{3} f^{2} n e^{\left(-1\right)} \log\left(c\right)^{2} + 3 \, {\left(x e + d\right)}^{2} a b^{2} f g e^{\left(-2\right)} \log\left(c\right)^{2} - 6 \, {\left(x e + d\right)} a b^{2} d f g e^{\left(-2\right)} \log\left(c\right)^{2} + {\left(x e + d\right)} b^{3} f^{2} e^{\left(-1\right)} \log\left(c\right)^{3} + 6 \, {\left(x e + d\right)} a b^{2} f^{2} n^{2} e^{\left(-1\right)} - \frac{3}{2} \, {\left(x e + d\right)}^{2} a^{2} b f g n e^{\left(-2\right)} + 6 \, {\left(x e + d\right)} a^{2} b d f g n e^{\left(-2\right)} + \frac{1}{3} \, {\left(x e + d\right)}^{3} a^{3} g^{2} e^{\left(-3\right)} - {\left(x e + d\right)}^{2} a^{3} d g^{2} e^{\left(-3\right)} + {\left(x e + d\right)} a^{3} d^{2} g^{2} e^{\left(-3\right)} + 3 \, {\left(x e + d\right)} a^{2} b f^{2} n e^{\left(-1\right)} \log\left(x e + d\right) - 6 \, {\left(x e + d\right)} a b^{2} f^{2} n e^{\left(-1\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)}^{2} a^{2} b f g e^{\left(-2\right)} \log\left(c\right) - 6 \, {\left(x e + d\right)} a^{2} b d f g e^{\left(-2\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)} a b^{2} f^{2} e^{\left(-1\right)} \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)} a^{2} b f^{2} n e^{\left(-1\right)} + {\left(x e + d\right)}^{2} a^{3} f g e^{\left(-2\right)} - 2 \, {\left(x e + d\right)} a^{3} d f g e^{\left(-2\right)} + 3 \, {\left(x e + d\right)} a^{2} b f^{2} e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a^{3} f^{2} e^{\left(-1\right)}"," ",0,"1/3*(x*e + d)^3*b^3*g^2*n^3*e^(-3)*log(x*e + d)^3 - (x*e + d)^2*b^3*d*g^2*n^3*e^(-3)*log(x*e + d)^3 + (x*e + d)*b^3*d^2*g^2*n^3*e^(-3)*log(x*e + d)^3 - 1/3*(x*e + d)^3*b^3*g^2*n^3*e^(-3)*log(x*e + d)^2 + 3/2*(x*e + d)^2*b^3*d*g^2*n^3*e^(-3)*log(x*e + d)^2 - 3*(x*e + d)*b^3*d^2*g^2*n^3*e^(-3)*log(x*e + d)^2 + (x*e + d)^2*b^3*f*g*n^3*e^(-2)*log(x*e + d)^3 - 2*(x*e + d)*b^3*d*f*g*n^3*e^(-2)*log(x*e + d)^3 + (x*e + d)^3*b^3*g^2*n^2*e^(-3)*log(x*e + d)^2*log(c) - 3*(x*e + d)^2*b^3*d*g^2*n^2*e^(-3)*log(x*e + d)^2*log(c) + 3*(x*e + d)*b^3*d^2*g^2*n^2*e^(-3)*log(x*e + d)^2*log(c) + 2/9*(x*e + d)^3*b^3*g^2*n^3*e^(-3)*log(x*e + d) - 3/2*(x*e + d)^2*b^3*d*g^2*n^3*e^(-3)*log(x*e + d) + 6*(x*e + d)*b^3*d^2*g^2*n^3*e^(-3)*log(x*e + d) - 3/2*(x*e + d)^2*b^3*f*g*n^3*e^(-2)*log(x*e + d)^2 + 6*(x*e + d)*b^3*d*f*g*n^3*e^(-2)*log(x*e + d)^2 + (x*e + d)^3*a*b^2*g^2*n^2*e^(-3)*log(x*e + d)^2 - 3*(x*e + d)^2*a*b^2*d*g^2*n^2*e^(-3)*log(x*e + d)^2 + 3*(x*e + d)*a*b^2*d^2*g^2*n^2*e^(-3)*log(x*e + d)^2 + (x*e + d)*b^3*f^2*n^3*e^(-1)*log(x*e + d)^3 - 2/3*(x*e + d)^3*b^3*g^2*n^2*e^(-3)*log(x*e + d)*log(c) + 3*(x*e + d)^2*b^3*d*g^2*n^2*e^(-3)*log(x*e + d)*log(c) - 6*(x*e + d)*b^3*d^2*g^2*n^2*e^(-3)*log(x*e + d)*log(c) + 3*(x*e + d)^2*b^3*f*g*n^2*e^(-2)*log(x*e + d)^2*log(c) - 6*(x*e + d)*b^3*d*f*g*n^2*e^(-2)*log(x*e + d)^2*log(c) + (x*e + d)^3*b^3*g^2*n*e^(-3)*log(x*e + d)*log(c)^2 - 3*(x*e + d)^2*b^3*d*g^2*n*e^(-3)*log(x*e + d)*log(c)^2 + 3*(x*e + d)*b^3*d^2*g^2*n*e^(-3)*log(x*e + d)*log(c)^2 - 2/27*(x*e + d)^3*b^3*g^2*n^3*e^(-3) + 3/4*(x*e + d)^2*b^3*d*g^2*n^3*e^(-3) - 6*(x*e + d)*b^3*d^2*g^2*n^3*e^(-3) + 3/2*(x*e + d)^2*b^3*f*g*n^3*e^(-2)*log(x*e + d) - 12*(x*e + d)*b^3*d*f*g*n^3*e^(-2)*log(x*e + d) - 2/3*(x*e + d)^3*a*b^2*g^2*n^2*e^(-3)*log(x*e + d) + 3*(x*e + d)^2*a*b^2*d*g^2*n^2*e^(-3)*log(x*e + d) - 6*(x*e + d)*a*b^2*d^2*g^2*n^2*e^(-3)*log(x*e + d) - 3*(x*e + d)*b^3*f^2*n^3*e^(-1)*log(x*e + d)^2 + 3*(x*e + d)^2*a*b^2*f*g*n^2*e^(-2)*log(x*e + d)^2 - 6*(x*e + d)*a*b^2*d*f*g*n^2*e^(-2)*log(x*e + d)^2 + 2/9*(x*e + d)^3*b^3*g^2*n^2*e^(-3)*log(c) - 3/2*(x*e + d)^2*b^3*d*g^2*n^2*e^(-3)*log(c) + 6*(x*e + d)*b^3*d^2*g^2*n^2*e^(-3)*log(c) - 3*(x*e + d)^2*b^3*f*g*n^2*e^(-2)*log(x*e + d)*log(c) + 12*(x*e + d)*b^3*d*f*g*n^2*e^(-2)*log(x*e + d)*log(c) + 2*(x*e + d)^3*a*b^2*g^2*n*e^(-3)*log(x*e + d)*log(c) - 6*(x*e + d)^2*a*b^2*d*g^2*n*e^(-3)*log(x*e + d)*log(c) + 6*(x*e + d)*a*b^2*d^2*g^2*n*e^(-3)*log(x*e + d)*log(c) + 3*(x*e + d)*b^3*f^2*n^2*e^(-1)*log(x*e + d)^2*log(c) - 1/3*(x*e + d)^3*b^3*g^2*n*e^(-3)*log(c)^2 + 3/2*(x*e + d)^2*b^3*d*g^2*n*e^(-3)*log(c)^2 - 3*(x*e + d)*b^3*d^2*g^2*n*e^(-3)*log(c)^2 + 3*(x*e + d)^2*b^3*f*g*n*e^(-2)*log(x*e + d)*log(c)^2 - 6*(x*e + d)*b^3*d*f*g*n*e^(-2)*log(x*e + d)*log(c)^2 + 1/3*(x*e + d)^3*b^3*g^2*e^(-3)*log(c)^3 - (x*e + d)^2*b^3*d*g^2*e^(-3)*log(c)^3 + (x*e + d)*b^3*d^2*g^2*e^(-3)*log(c)^3 - 3/4*(x*e + d)^2*b^3*f*g*n^3*e^(-2) + 12*(x*e + d)*b^3*d*f*g*n^3*e^(-2) + 2/9*(x*e + d)^3*a*b^2*g^2*n^2*e^(-3) - 3/2*(x*e + d)^2*a*b^2*d*g^2*n^2*e^(-3) + 6*(x*e + d)*a*b^2*d^2*g^2*n^2*e^(-3) + 6*(x*e + d)*b^3*f^2*n^3*e^(-1)*log(x*e + d) - 3*(x*e + d)^2*a*b^2*f*g*n^2*e^(-2)*log(x*e + d) + 12*(x*e + d)*a*b^2*d*f*g*n^2*e^(-2)*log(x*e + d) + (x*e + d)^3*a^2*b*g^2*n*e^(-3)*log(x*e + d) - 3*(x*e + d)^2*a^2*b*d*g^2*n*e^(-3)*log(x*e + d) + 3*(x*e + d)*a^2*b*d^2*g^2*n*e^(-3)*log(x*e + d) + 3*(x*e + d)*a*b^2*f^2*n^2*e^(-1)*log(x*e + d)^2 + 3/2*(x*e + d)^2*b^3*f*g*n^2*e^(-2)*log(c) - 12*(x*e + d)*b^3*d*f*g*n^2*e^(-2)*log(c) - 2/3*(x*e + d)^3*a*b^2*g^2*n*e^(-3)*log(c) + 3*(x*e + d)^2*a*b^2*d*g^2*n*e^(-3)*log(c) - 6*(x*e + d)*a*b^2*d^2*g^2*n*e^(-3)*log(c) - 6*(x*e + d)*b^3*f^2*n^2*e^(-1)*log(x*e + d)*log(c) + 6*(x*e + d)^2*a*b^2*f*g*n*e^(-2)*log(x*e + d)*log(c) - 12*(x*e + d)*a*b^2*d*f*g*n*e^(-2)*log(x*e + d)*log(c) - 3/2*(x*e + d)^2*b^3*f*g*n*e^(-2)*log(c)^2 + 6*(x*e + d)*b^3*d*f*g*n*e^(-2)*log(c)^2 + (x*e + d)^3*a*b^2*g^2*e^(-3)*log(c)^2 - 3*(x*e + d)^2*a*b^2*d*g^2*e^(-3)*log(c)^2 + 3*(x*e + d)*a*b^2*d^2*g^2*e^(-3)*log(c)^2 + 3*(x*e + d)*b^3*f^2*n*e^(-1)*log(x*e + d)*log(c)^2 + (x*e + d)^2*b^3*f*g*e^(-2)*log(c)^3 - 2*(x*e + d)*b^3*d*f*g*e^(-2)*log(c)^3 - 6*(x*e + d)*b^3*f^2*n^3*e^(-1) + 3/2*(x*e + d)^2*a*b^2*f*g*n^2*e^(-2) - 12*(x*e + d)*a*b^2*d*f*g*n^2*e^(-2) - 1/3*(x*e + d)^3*a^2*b*g^2*n*e^(-3) + 3/2*(x*e + d)^2*a^2*b*d*g^2*n*e^(-3) - 3*(x*e + d)*a^2*b*d^2*g^2*n*e^(-3) - 6*(x*e + d)*a*b^2*f^2*n^2*e^(-1)*log(x*e + d) + 3*(x*e + d)^2*a^2*b*f*g*n*e^(-2)*log(x*e + d) - 6*(x*e + d)*a^2*b*d*f*g*n*e^(-2)*log(x*e + d) + 6*(x*e + d)*b^3*f^2*n^2*e^(-1)*log(c) - 3*(x*e + d)^2*a*b^2*f*g*n*e^(-2)*log(c) + 12*(x*e + d)*a*b^2*d*f*g*n*e^(-2)*log(c) + (x*e + d)^3*a^2*b*g^2*e^(-3)*log(c) - 3*(x*e + d)^2*a^2*b*d*g^2*e^(-3)*log(c) + 3*(x*e + d)*a^2*b*d^2*g^2*e^(-3)*log(c) + 6*(x*e + d)*a*b^2*f^2*n*e^(-1)*log(x*e + d)*log(c) - 3*(x*e + d)*b^3*f^2*n*e^(-1)*log(c)^2 + 3*(x*e + d)^2*a*b^2*f*g*e^(-2)*log(c)^2 - 6*(x*e + d)*a*b^2*d*f*g*e^(-2)*log(c)^2 + (x*e + d)*b^3*f^2*e^(-1)*log(c)^3 + 6*(x*e + d)*a*b^2*f^2*n^2*e^(-1) - 3/2*(x*e + d)^2*a^2*b*f*g*n*e^(-2) + 6*(x*e + d)*a^2*b*d*f*g*n*e^(-2) + 1/3*(x*e + d)^3*a^3*g^2*e^(-3) - (x*e + d)^2*a^3*d*g^2*e^(-3) + (x*e + d)*a^3*d^2*g^2*e^(-3) + 3*(x*e + d)*a^2*b*f^2*n*e^(-1)*log(x*e + d) - 6*(x*e + d)*a*b^2*f^2*n*e^(-1)*log(c) + 3*(x*e + d)^2*a^2*b*f*g*e^(-2)*log(c) - 6*(x*e + d)*a^2*b*d*f*g*e^(-2)*log(c) + 3*(x*e + d)*a*b^2*f^2*e^(-1)*log(c)^2 - 3*(x*e + d)*a^2*b*f^2*n*e^(-1) + (x*e + d)^2*a^3*f*g*e^(-2) - 2*(x*e + d)*a^3*d*f*g*e^(-2) + 3*(x*e + d)*a^2*b*f^2*e^(-1)*log(c) + (x*e + d)*a^3*f^2*e^(-1)","B",0
54,1,1351,0,0.309128," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""giac"")","\frac{1}{2} \, {\left(x e + d\right)}^{2} b^{3} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{3} - {\left(x e + d\right)} b^{3} d g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{3} - \frac{3}{4} \, {\left(x e + d\right)}^{2} b^{3} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{2} + 3 \, {\left(x e + d\right)} b^{3} d g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{2} + {\left(x e + d\right)} b^{3} f n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{3} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - 3 \, {\left(x e + d\right)} b^{3} d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + \frac{3}{4} \, {\left(x e + d\right)}^{2} b^{3} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right) - 6 \, {\left(x e + d\right)} b^{3} d g n^{3} e^{\left(-2\right)} \log\left(x e + d\right) - 3 \, {\left(x e + d\right)} b^{3} f n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + \frac{3}{2} \, {\left(x e + d\right)}^{2} a b^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - 3 \, {\left(x e + d\right)} a b^{2} d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) + 6 \, {\left(x e + d\right)} b^{3} d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) + 3 \, {\left(x e + d\right)} b^{3} f n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{3} g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)} b^{3} d g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - \frac{3}{8} \, {\left(x e + d\right)}^{2} b^{3} g n^{3} e^{\left(-2\right)} + 6 \, {\left(x e + d\right)} b^{3} d g n^{3} e^{\left(-2\right)} + 6 \, {\left(x e + d\right)} b^{3} f n^{3} e^{\left(-1\right)} \log\left(x e + d\right) - \frac{3}{2} \, {\left(x e + d\right)}^{2} a b^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} a b^{2} d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)} a b^{2} f n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + \frac{3}{4} \, {\left(x e + d\right)}^{2} b^{3} g n^{2} e^{\left(-2\right)} \log\left(c\right) - 6 \, {\left(x e + d\right)} b^{3} d g n^{2} e^{\left(-2\right)} \log\left(c\right) - 6 \, {\left(x e + d\right)} b^{3} f n^{2} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + 3 \, {\left(x e + d\right)}^{2} a b^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) - 6 \, {\left(x e + d\right)} a b^{2} d g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) - \frac{3}{4} \, {\left(x e + d\right)}^{2} b^{3} g n e^{\left(-2\right)} \log\left(c\right)^{2} + 3 \, {\left(x e + d\right)} b^{3} d g n e^{\left(-2\right)} \log\left(c\right)^{2} + 3 \, {\left(x e + d\right)} b^{3} f n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + \frac{1}{2} \, {\left(x e + d\right)}^{2} b^{3} g e^{\left(-2\right)} \log\left(c\right)^{3} - {\left(x e + d\right)} b^{3} d g e^{\left(-2\right)} \log\left(c\right)^{3} - 6 \, {\left(x e + d\right)} b^{3} f n^{3} e^{\left(-1\right)} + \frac{3}{4} \, {\left(x e + d\right)}^{2} a b^{2} g n^{2} e^{\left(-2\right)} - 6 \, {\left(x e + d\right)} a b^{2} d g n^{2} e^{\left(-2\right)} - 6 \, {\left(x e + d\right)} a b^{2} f n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + \frac{3}{2} \, {\left(x e + d\right)}^{2} a^{2} b g n e^{\left(-2\right)} \log\left(x e + d\right) - 3 \, {\left(x e + d\right)} a^{2} b d g n e^{\left(-2\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} b^{3} f n^{2} e^{\left(-1\right)} \log\left(c\right) - \frac{3}{2} \, {\left(x e + d\right)}^{2} a b^{2} g n e^{\left(-2\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} a b^{2} d g n e^{\left(-2\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} a b^{2} f n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) - 3 \, {\left(x e + d\right)} b^{3} f n e^{\left(-1\right)} \log\left(c\right)^{2} + \frac{3}{2} \, {\left(x e + d\right)}^{2} a b^{2} g e^{\left(-2\right)} \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)} a b^{2} d g e^{\left(-2\right)} \log\left(c\right)^{2} + {\left(x e + d\right)} b^{3} f e^{\left(-1\right)} \log\left(c\right)^{3} + 6 \, {\left(x e + d\right)} a b^{2} f n^{2} e^{\left(-1\right)} - \frac{3}{4} \, {\left(x e + d\right)}^{2} a^{2} b g n e^{\left(-2\right)} + 3 \, {\left(x e + d\right)} a^{2} b d g n e^{\left(-2\right)} + 3 \, {\left(x e + d\right)} a^{2} b f n e^{\left(-1\right)} \log\left(x e + d\right) - 6 \, {\left(x e + d\right)} a b^{2} f n e^{\left(-1\right)} \log\left(c\right) + \frac{3}{2} \, {\left(x e + d\right)}^{2} a^{2} b g e^{\left(-2\right)} \log\left(c\right) - 3 \, {\left(x e + d\right)} a^{2} b d g e^{\left(-2\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)} a b^{2} f e^{\left(-1\right)} \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)} a^{2} b f n e^{\left(-1\right)} + \frac{1}{2} \, {\left(x e + d\right)}^{2} a^{3} g e^{\left(-2\right)} - {\left(x e + d\right)} a^{3} d g e^{\left(-2\right)} + 3 \, {\left(x e + d\right)} a^{2} b f e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a^{3} f e^{\left(-1\right)}"," ",0,"1/2*(x*e + d)^2*b^3*g*n^3*e^(-2)*log(x*e + d)^3 - (x*e + d)*b^3*d*g*n^3*e^(-2)*log(x*e + d)^3 - 3/4*(x*e + d)^2*b^3*g*n^3*e^(-2)*log(x*e + d)^2 + 3*(x*e + d)*b^3*d*g*n^3*e^(-2)*log(x*e + d)^2 + (x*e + d)*b^3*f*n^3*e^(-1)*log(x*e + d)^3 + 3/2*(x*e + d)^2*b^3*g*n^2*e^(-2)*log(x*e + d)^2*log(c) - 3*(x*e + d)*b^3*d*g*n^2*e^(-2)*log(x*e + d)^2*log(c) + 3/4*(x*e + d)^2*b^3*g*n^3*e^(-2)*log(x*e + d) - 6*(x*e + d)*b^3*d*g*n^3*e^(-2)*log(x*e + d) - 3*(x*e + d)*b^3*f*n^3*e^(-1)*log(x*e + d)^2 + 3/2*(x*e + d)^2*a*b^2*g*n^2*e^(-2)*log(x*e + d)^2 - 3*(x*e + d)*a*b^2*d*g*n^2*e^(-2)*log(x*e + d)^2 - 3/2*(x*e + d)^2*b^3*g*n^2*e^(-2)*log(x*e + d)*log(c) + 6*(x*e + d)*b^3*d*g*n^2*e^(-2)*log(x*e + d)*log(c) + 3*(x*e + d)*b^3*f*n^2*e^(-1)*log(x*e + d)^2*log(c) + 3/2*(x*e + d)^2*b^3*g*n*e^(-2)*log(x*e + d)*log(c)^2 - 3*(x*e + d)*b^3*d*g*n*e^(-2)*log(x*e + d)*log(c)^2 - 3/8*(x*e + d)^2*b^3*g*n^3*e^(-2) + 6*(x*e + d)*b^3*d*g*n^3*e^(-2) + 6*(x*e + d)*b^3*f*n^3*e^(-1)*log(x*e + d) - 3/2*(x*e + d)^2*a*b^2*g*n^2*e^(-2)*log(x*e + d) + 6*(x*e + d)*a*b^2*d*g*n^2*e^(-2)*log(x*e + d) + 3*(x*e + d)*a*b^2*f*n^2*e^(-1)*log(x*e + d)^2 + 3/4*(x*e + d)^2*b^3*g*n^2*e^(-2)*log(c) - 6*(x*e + d)*b^3*d*g*n^2*e^(-2)*log(c) - 6*(x*e + d)*b^3*f*n^2*e^(-1)*log(x*e + d)*log(c) + 3*(x*e + d)^2*a*b^2*g*n*e^(-2)*log(x*e + d)*log(c) - 6*(x*e + d)*a*b^2*d*g*n*e^(-2)*log(x*e + d)*log(c) - 3/4*(x*e + d)^2*b^3*g*n*e^(-2)*log(c)^2 + 3*(x*e + d)*b^3*d*g*n*e^(-2)*log(c)^2 + 3*(x*e + d)*b^3*f*n*e^(-1)*log(x*e + d)*log(c)^2 + 1/2*(x*e + d)^2*b^3*g*e^(-2)*log(c)^3 - (x*e + d)*b^3*d*g*e^(-2)*log(c)^3 - 6*(x*e + d)*b^3*f*n^3*e^(-1) + 3/4*(x*e + d)^2*a*b^2*g*n^2*e^(-2) - 6*(x*e + d)*a*b^2*d*g*n^2*e^(-2) - 6*(x*e + d)*a*b^2*f*n^2*e^(-1)*log(x*e + d) + 3/2*(x*e + d)^2*a^2*b*g*n*e^(-2)*log(x*e + d) - 3*(x*e + d)*a^2*b*d*g*n*e^(-2)*log(x*e + d) + 6*(x*e + d)*b^3*f*n^2*e^(-1)*log(c) - 3/2*(x*e + d)^2*a*b^2*g*n*e^(-2)*log(c) + 6*(x*e + d)*a*b^2*d*g*n*e^(-2)*log(c) + 6*(x*e + d)*a*b^2*f*n*e^(-1)*log(x*e + d)*log(c) - 3*(x*e + d)*b^3*f*n*e^(-1)*log(c)^2 + 3/2*(x*e + d)^2*a*b^2*g*e^(-2)*log(c)^2 - 3*(x*e + d)*a*b^2*d*g*e^(-2)*log(c)^2 + (x*e + d)*b^3*f*e^(-1)*log(c)^3 + 6*(x*e + d)*a*b^2*f*n^2*e^(-1) - 3/4*(x*e + d)^2*a^2*b*g*n*e^(-2) + 3*(x*e + d)*a^2*b*d*g*n*e^(-2) + 3*(x*e + d)*a^2*b*f*n*e^(-1)*log(x*e + d) - 6*(x*e + d)*a*b^2*f*n*e^(-1)*log(c) + 3/2*(x*e + d)^2*a^2*b*g*e^(-2)*log(c) - 3*(x*e + d)*a^2*b*d*g*e^(-2)*log(c) + 3*(x*e + d)*a*b^2*f*e^(-1)*log(c)^2 - 3*(x*e + d)*a^2*b*f*n*e^(-1) + 1/2*(x*e + d)^2*a^3*g*e^(-2) - (x*e + d)*a^3*d*g*e^(-2) + 3*(x*e + d)*a^2*b*f*e^(-1)*log(c) + (x*e + d)*a^3*f*e^(-1)","B",0
55,1,409,0,0.214473," ","integrate((a+b*log(c*(e*x+d)^n))^3,x, algorithm=""giac"")","{\left(x e + d\right)} b^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{3} - 3 \, {\left(x e + d\right)} b^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + 3 \, {\left(x e + d\right)} b^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + 6 \, {\left(x e + d\right)} b^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)} a b^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} - 6 \, {\left(x e + d\right)} b^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + 3 \, {\left(x e + d\right)} b^{3} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - 6 \, {\left(x e + d\right)} b^{3} n^{3} e^{\left(-1\right)} - 6 \, {\left(x e + d\right)} a b^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} b^{3} n^{2} e^{\left(-1\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} a b^{2} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) - 3 \, {\left(x e + d\right)} b^{3} n e^{\left(-1\right)} \log\left(c\right)^{2} + {\left(x e + d\right)} b^{3} e^{\left(-1\right)} \log\left(c\right)^{3} + 6 \, {\left(x e + d\right)} a b^{2} n^{2} e^{\left(-1\right)} + 3 \, {\left(x e + d\right)} a^{2} b n e^{\left(-1\right)} \log\left(x e + d\right) - 6 \, {\left(x e + d\right)} a b^{2} n e^{\left(-1\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)} a b^{2} e^{\left(-1\right)} \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)} a^{2} b n e^{\left(-1\right)} + 3 \, {\left(x e + d\right)} a^{2} b e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a^{3} e^{\left(-1\right)}"," ",0,"(x*e + d)*b^3*n^3*e^(-1)*log(x*e + d)^3 - 3*(x*e + d)*b^3*n^3*e^(-1)*log(x*e + d)^2 + 3*(x*e + d)*b^3*n^2*e^(-1)*log(x*e + d)^2*log(c) + 6*(x*e + d)*b^3*n^3*e^(-1)*log(x*e + d) + 3*(x*e + d)*a*b^2*n^2*e^(-1)*log(x*e + d)^2 - 6*(x*e + d)*b^3*n^2*e^(-1)*log(x*e + d)*log(c) + 3*(x*e + d)*b^3*n*e^(-1)*log(x*e + d)*log(c)^2 - 6*(x*e + d)*b^3*n^3*e^(-1) - 6*(x*e + d)*a*b^2*n^2*e^(-1)*log(x*e + d) + 6*(x*e + d)*b^3*n^2*e^(-1)*log(c) + 6*(x*e + d)*a*b^2*n*e^(-1)*log(x*e + d)*log(c) - 3*(x*e + d)*b^3*n*e^(-1)*log(c)^2 + (x*e + d)*b^3*e^(-1)*log(c)^3 + 6*(x*e + d)*a*b^2*n^2*e^(-1) + 3*(x*e + d)*a^2*b*n*e^(-1)*log(x*e + d) - 6*(x*e + d)*a*b^2*n*e^(-1)*log(c) + 3*(x*e + d)*a*b^2*e^(-1)*log(c)^2 - 3*(x*e + d)*a^2*b*n*e^(-1) + 3*(x*e + d)*a^2*b*e^(-1)*log(c) + (x*e + d)*a^3*e^(-1)","B",0
56,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3}}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^3/(g*x + f), x)","F",0
57,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^3/(g*x + f)^2, x)","F",0
58,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3}}{{\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^3/(g*x + f)^3, x)","F",0
59,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3}}{{\left(g x + f\right)}^{4}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^3/(g*x + f)^4, x)","F",0
60,1,2548,0,0.367972," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^4,x, algorithm=""giac"")","\frac{1}{2} \, {\left(x e + d\right)}^{2} b^{4} g n^{4} e^{\left(-2\right)} \log\left(x e + d\right)^{4} - {\left(x e + d\right)} b^{4} d g n^{4} e^{\left(-2\right)} \log\left(x e + d\right)^{4} - {\left(x e + d\right)}^{2} b^{4} g n^{4} e^{\left(-2\right)} \log\left(x e + d\right)^{3} + 4 \, {\left(x e + d\right)} b^{4} d g n^{4} e^{\left(-2\right)} \log\left(x e + d\right)^{3} + {\left(x e + d\right)} b^{4} f n^{4} e^{\left(-1\right)} \log\left(x e + d\right)^{4} + 2 \, {\left(x e + d\right)}^{2} b^{4} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{3} \log\left(c\right) - 4 \, {\left(x e + d\right)} b^{4} d g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{3} \log\left(c\right) + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{4} g n^{4} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - 12 \, {\left(x e + d\right)} b^{4} d g n^{4} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - 4 \, {\left(x e + d\right)} b^{4} f n^{4} e^{\left(-1\right)} \log\left(x e + d\right)^{3} + 2 \, {\left(x e + d\right)}^{2} a b^{3} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{3} - 4 \, {\left(x e + d\right)} a b^{3} d g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{3} - 3 \, {\left(x e + d\right)}^{2} b^{4} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + 12 \, {\left(x e + d\right)} b^{4} d g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + 4 \, {\left(x e + d\right)} b^{4} f n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{3} \log\left(c\right) + 3 \, {\left(x e + d\right)}^{2} b^{4} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} \log\left(c\right)^{2} - 6 \, {\left(x e + d\right)} b^{4} d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} \log\left(c\right)^{2} - \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{4} g n^{4} e^{\left(-2\right)} \log\left(x e + d\right) + 24 \, {\left(x e + d\right)} b^{4} d g n^{4} e^{\left(-2\right)} \log\left(x e + d\right) + 12 \, {\left(x e + d\right)} b^{4} f n^{4} e^{\left(-1\right)} \log\left(x e + d\right)^{2} - 3 \, {\left(x e + d\right)}^{2} a b^{3} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{2} + 12 \, {\left(x e + d\right)} a b^{3} d g n^{3} e^{\left(-2\right)} \log\left(x e + d\right)^{2} + 4 \, {\left(x e + d\right)} a b^{3} f n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{3} + 3 \, {\left(x e + d\right)}^{2} b^{4} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) - 24 \, {\left(x e + d\right)} b^{4} d g n^{3} e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) - 12 \, {\left(x e + d\right)} b^{4} f n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + 6 \, {\left(x e + d\right)}^{2} a b^{3} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - 12 \, {\left(x e + d\right)} a b^{3} d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - 3 \, {\left(x e + d\right)}^{2} b^{4} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + 12 \, {\left(x e + d\right)} b^{4} d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + 6 \, {\left(x e + d\right)} b^{4} f n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right)^{2} + 2 \, {\left(x e + d\right)}^{2} b^{4} g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right)^{3} - 4 \, {\left(x e + d\right)} b^{4} d g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right)^{3} + \frac{3}{4} \, {\left(x e + d\right)}^{2} b^{4} g n^{4} e^{\left(-2\right)} - 24 \, {\left(x e + d\right)} b^{4} d g n^{4} e^{\left(-2\right)} - 24 \, {\left(x e + d\right)} b^{4} f n^{4} e^{\left(-1\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)}^{2} a b^{3} g n^{3} e^{\left(-2\right)} \log\left(x e + d\right) - 24 \, {\left(x e + d\right)} a b^{3} d g n^{3} e^{\left(-2\right)} \log\left(x e + d\right) - 12 \, {\left(x e + d\right)} a b^{3} f n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + 3 \, {\left(x e + d\right)}^{2} a^{2} b^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - 6 \, {\left(x e + d\right)} a^{2} b^{2} d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{4} g n^{3} e^{\left(-2\right)} \log\left(c\right) + 24 \, {\left(x e + d\right)} b^{4} d g n^{3} e^{\left(-2\right)} \log\left(c\right) + 24 \, {\left(x e + d\right)} b^{4} f n^{3} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) - 6 \, {\left(x e + d\right)}^{2} a b^{3} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) + 24 \, {\left(x e + d\right)} a b^{3} d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) + 12 \, {\left(x e + d\right)} a b^{3} f n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + \frac{3}{2} \, {\left(x e + d\right)}^{2} b^{4} g n^{2} e^{\left(-2\right)} \log\left(c\right)^{2} - 12 \, {\left(x e + d\right)} b^{4} d g n^{2} e^{\left(-2\right)} \log\left(c\right)^{2} - 12 \, {\left(x e + d\right)} b^{4} f n^{2} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + 6 \, {\left(x e + d\right)}^{2} a b^{3} g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - 12 \, {\left(x e + d\right)} a b^{3} d g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - {\left(x e + d\right)}^{2} b^{4} g n e^{\left(-2\right)} \log\left(c\right)^{3} + 4 \, {\left(x e + d\right)} b^{4} d g n e^{\left(-2\right)} \log\left(c\right)^{3} + 4 \, {\left(x e + d\right)} b^{4} f n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{3} + \frac{1}{2} \, {\left(x e + d\right)}^{2} b^{4} g e^{\left(-2\right)} \log\left(c\right)^{4} - {\left(x e + d\right)} b^{4} d g e^{\left(-2\right)} \log\left(c\right)^{4} + 24 \, {\left(x e + d\right)} b^{4} f n^{4} e^{\left(-1\right)} - \frac{3}{2} \, {\left(x e + d\right)}^{2} a b^{3} g n^{3} e^{\left(-2\right)} + 24 \, {\left(x e + d\right)} a b^{3} d g n^{3} e^{\left(-2\right)} + 24 \, {\left(x e + d\right)} a b^{3} f n^{3} e^{\left(-1\right)} \log\left(x e + d\right) - 3 \, {\left(x e + d\right)}^{2} a^{2} b^{2} g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + 12 \, {\left(x e + d\right)} a^{2} b^{2} d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} a^{2} b^{2} f n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} - 24 \, {\left(x e + d\right)} b^{4} f n^{3} e^{\left(-1\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)}^{2} a b^{3} g n^{2} e^{\left(-2\right)} \log\left(c\right) - 24 \, {\left(x e + d\right)} a b^{3} d g n^{2} e^{\left(-2\right)} \log\left(c\right) - 24 \, {\left(x e + d\right)} a b^{3} f n^{2} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + 6 \, {\left(x e + d\right)}^{2} a^{2} b^{2} g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) - 12 \, {\left(x e + d\right)} a^{2} b^{2} d g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) + 12 \, {\left(x e + d\right)} b^{4} f n^{2} e^{\left(-1\right)} \log\left(c\right)^{2} - 3 \, {\left(x e + d\right)}^{2} a b^{3} g n e^{\left(-2\right)} \log\left(c\right)^{2} + 12 \, {\left(x e + d\right)} a b^{3} d g n e^{\left(-2\right)} \log\left(c\right)^{2} + 12 \, {\left(x e + d\right)} a b^{3} f n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - 4 \, {\left(x e + d\right)} b^{4} f n e^{\left(-1\right)} \log\left(c\right)^{3} + 2 \, {\left(x e + d\right)}^{2} a b^{3} g e^{\left(-2\right)} \log\left(c\right)^{3} - 4 \, {\left(x e + d\right)} a b^{3} d g e^{\left(-2\right)} \log\left(c\right)^{3} + {\left(x e + d\right)} b^{4} f e^{\left(-1\right)} \log\left(c\right)^{4} - 24 \, {\left(x e + d\right)} a b^{3} f n^{3} e^{\left(-1\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} a^{2} b^{2} g n^{2} e^{\left(-2\right)} - 12 \, {\left(x e + d\right)} a^{2} b^{2} d g n^{2} e^{\left(-2\right)} - 12 \, {\left(x e + d\right)} a^{2} b^{2} f n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)}^{2} a^{3} b g n e^{\left(-2\right)} \log\left(x e + d\right) - 4 \, {\left(x e + d\right)} a^{3} b d g n e^{\left(-2\right)} \log\left(x e + d\right) + 24 \, {\left(x e + d\right)} a b^{3} f n^{2} e^{\left(-1\right)} \log\left(c\right) - 3 \, {\left(x e + d\right)}^{2} a^{2} b^{2} g n e^{\left(-2\right)} \log\left(c\right) + 12 \, {\left(x e + d\right)} a^{2} b^{2} d g n e^{\left(-2\right)} \log\left(c\right) + 12 \, {\left(x e + d\right)} a^{2} b^{2} f n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) - 12 \, {\left(x e + d\right)} a b^{3} f n e^{\left(-1\right)} \log\left(c\right)^{2} + 3 \, {\left(x e + d\right)}^{2} a^{2} b^{2} g e^{\left(-2\right)} \log\left(c\right)^{2} - 6 \, {\left(x e + d\right)} a^{2} b^{2} d g e^{\left(-2\right)} \log\left(c\right)^{2} + 4 \, {\left(x e + d\right)} a b^{3} f e^{\left(-1\right)} \log\left(c\right)^{3} + 12 \, {\left(x e + d\right)} a^{2} b^{2} f n^{2} e^{\left(-1\right)} - {\left(x e + d\right)}^{2} a^{3} b g n e^{\left(-2\right)} + 4 \, {\left(x e + d\right)} a^{3} b d g n e^{\left(-2\right)} + 4 \, {\left(x e + d\right)} a^{3} b f n e^{\left(-1\right)} \log\left(x e + d\right) - 12 \, {\left(x e + d\right)} a^{2} b^{2} f n e^{\left(-1\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)}^{2} a^{3} b g e^{\left(-2\right)} \log\left(c\right) - 4 \, {\left(x e + d\right)} a^{3} b d g e^{\left(-2\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} a^{2} b^{2} f e^{\left(-1\right)} \log\left(c\right)^{2} - 4 \, {\left(x e + d\right)} a^{3} b f n e^{\left(-1\right)} + \frac{1}{2} \, {\left(x e + d\right)}^{2} a^{4} g e^{\left(-2\right)} - {\left(x e + d\right)} a^{4} d g e^{\left(-2\right)} + 4 \, {\left(x e + d\right)} a^{3} b f e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a^{4} f e^{\left(-1\right)}"," ",0,"1/2*(x*e + d)^2*b^4*g*n^4*e^(-2)*log(x*e + d)^4 - (x*e + d)*b^4*d*g*n^4*e^(-2)*log(x*e + d)^4 - (x*e + d)^2*b^4*g*n^4*e^(-2)*log(x*e + d)^3 + 4*(x*e + d)*b^4*d*g*n^4*e^(-2)*log(x*e + d)^3 + (x*e + d)*b^4*f*n^4*e^(-1)*log(x*e + d)^4 + 2*(x*e + d)^2*b^4*g*n^3*e^(-2)*log(x*e + d)^3*log(c) - 4*(x*e + d)*b^4*d*g*n^3*e^(-2)*log(x*e + d)^3*log(c) + 3/2*(x*e + d)^2*b^4*g*n^4*e^(-2)*log(x*e + d)^2 - 12*(x*e + d)*b^4*d*g*n^4*e^(-2)*log(x*e + d)^2 - 4*(x*e + d)*b^4*f*n^4*e^(-1)*log(x*e + d)^3 + 2*(x*e + d)^2*a*b^3*g*n^3*e^(-2)*log(x*e + d)^3 - 4*(x*e + d)*a*b^3*d*g*n^3*e^(-2)*log(x*e + d)^3 - 3*(x*e + d)^2*b^4*g*n^3*e^(-2)*log(x*e + d)^2*log(c) + 12*(x*e + d)*b^4*d*g*n^3*e^(-2)*log(x*e + d)^2*log(c) + 4*(x*e + d)*b^4*f*n^3*e^(-1)*log(x*e + d)^3*log(c) + 3*(x*e + d)^2*b^4*g*n^2*e^(-2)*log(x*e + d)^2*log(c)^2 - 6*(x*e + d)*b^4*d*g*n^2*e^(-2)*log(x*e + d)^2*log(c)^2 - 3/2*(x*e + d)^2*b^4*g*n^4*e^(-2)*log(x*e + d) + 24*(x*e + d)*b^4*d*g*n^4*e^(-2)*log(x*e + d) + 12*(x*e + d)*b^4*f*n^4*e^(-1)*log(x*e + d)^2 - 3*(x*e + d)^2*a*b^3*g*n^3*e^(-2)*log(x*e + d)^2 + 12*(x*e + d)*a*b^3*d*g*n^3*e^(-2)*log(x*e + d)^2 + 4*(x*e + d)*a*b^3*f*n^3*e^(-1)*log(x*e + d)^3 + 3*(x*e + d)^2*b^4*g*n^3*e^(-2)*log(x*e + d)*log(c) - 24*(x*e + d)*b^4*d*g*n^3*e^(-2)*log(x*e + d)*log(c) - 12*(x*e + d)*b^4*f*n^3*e^(-1)*log(x*e + d)^2*log(c) + 6*(x*e + d)^2*a*b^3*g*n^2*e^(-2)*log(x*e + d)^2*log(c) - 12*(x*e + d)*a*b^3*d*g*n^2*e^(-2)*log(x*e + d)^2*log(c) - 3*(x*e + d)^2*b^4*g*n^2*e^(-2)*log(x*e + d)*log(c)^2 + 12*(x*e + d)*b^4*d*g*n^2*e^(-2)*log(x*e + d)*log(c)^2 + 6*(x*e + d)*b^4*f*n^2*e^(-1)*log(x*e + d)^2*log(c)^2 + 2*(x*e + d)^2*b^4*g*n*e^(-2)*log(x*e + d)*log(c)^3 - 4*(x*e + d)*b^4*d*g*n*e^(-2)*log(x*e + d)*log(c)^3 + 3/4*(x*e + d)^2*b^4*g*n^4*e^(-2) - 24*(x*e + d)*b^4*d*g*n^4*e^(-2) - 24*(x*e + d)*b^4*f*n^4*e^(-1)*log(x*e + d) + 3*(x*e + d)^2*a*b^3*g*n^3*e^(-2)*log(x*e + d) - 24*(x*e + d)*a*b^3*d*g*n^3*e^(-2)*log(x*e + d) - 12*(x*e + d)*a*b^3*f*n^3*e^(-1)*log(x*e + d)^2 + 3*(x*e + d)^2*a^2*b^2*g*n^2*e^(-2)*log(x*e + d)^2 - 6*(x*e + d)*a^2*b^2*d*g*n^2*e^(-2)*log(x*e + d)^2 - 3/2*(x*e + d)^2*b^4*g*n^3*e^(-2)*log(c) + 24*(x*e + d)*b^4*d*g*n^3*e^(-2)*log(c) + 24*(x*e + d)*b^4*f*n^3*e^(-1)*log(x*e + d)*log(c) - 6*(x*e + d)^2*a*b^3*g*n^2*e^(-2)*log(x*e + d)*log(c) + 24*(x*e + d)*a*b^3*d*g*n^2*e^(-2)*log(x*e + d)*log(c) + 12*(x*e + d)*a*b^3*f*n^2*e^(-1)*log(x*e + d)^2*log(c) + 3/2*(x*e + d)^2*b^4*g*n^2*e^(-2)*log(c)^2 - 12*(x*e + d)*b^4*d*g*n^2*e^(-2)*log(c)^2 - 12*(x*e + d)*b^4*f*n^2*e^(-1)*log(x*e + d)*log(c)^2 + 6*(x*e + d)^2*a*b^3*g*n*e^(-2)*log(x*e + d)*log(c)^2 - 12*(x*e + d)*a*b^3*d*g*n*e^(-2)*log(x*e + d)*log(c)^2 - (x*e + d)^2*b^4*g*n*e^(-2)*log(c)^3 + 4*(x*e + d)*b^4*d*g*n*e^(-2)*log(c)^3 + 4*(x*e + d)*b^4*f*n*e^(-1)*log(x*e + d)*log(c)^3 + 1/2*(x*e + d)^2*b^4*g*e^(-2)*log(c)^4 - (x*e + d)*b^4*d*g*e^(-2)*log(c)^4 + 24*(x*e + d)*b^4*f*n^4*e^(-1) - 3/2*(x*e + d)^2*a*b^3*g*n^3*e^(-2) + 24*(x*e + d)*a*b^3*d*g*n^3*e^(-2) + 24*(x*e + d)*a*b^3*f*n^3*e^(-1)*log(x*e + d) - 3*(x*e + d)^2*a^2*b^2*g*n^2*e^(-2)*log(x*e + d) + 12*(x*e + d)*a^2*b^2*d*g*n^2*e^(-2)*log(x*e + d) + 6*(x*e + d)*a^2*b^2*f*n^2*e^(-1)*log(x*e + d)^2 - 24*(x*e + d)*b^4*f*n^3*e^(-1)*log(c) + 3*(x*e + d)^2*a*b^3*g*n^2*e^(-2)*log(c) - 24*(x*e + d)*a*b^3*d*g*n^2*e^(-2)*log(c) - 24*(x*e + d)*a*b^3*f*n^2*e^(-1)*log(x*e + d)*log(c) + 6*(x*e + d)^2*a^2*b^2*g*n*e^(-2)*log(x*e + d)*log(c) - 12*(x*e + d)*a^2*b^2*d*g*n*e^(-2)*log(x*e + d)*log(c) + 12*(x*e + d)*b^4*f*n^2*e^(-1)*log(c)^2 - 3*(x*e + d)^2*a*b^3*g*n*e^(-2)*log(c)^2 + 12*(x*e + d)*a*b^3*d*g*n*e^(-2)*log(c)^2 + 12*(x*e + d)*a*b^3*f*n*e^(-1)*log(x*e + d)*log(c)^2 - 4*(x*e + d)*b^4*f*n*e^(-1)*log(c)^3 + 2*(x*e + d)^2*a*b^3*g*e^(-2)*log(c)^3 - 4*(x*e + d)*a*b^3*d*g*e^(-2)*log(c)^3 + (x*e + d)*b^4*f*e^(-1)*log(c)^4 - 24*(x*e + d)*a*b^3*f*n^3*e^(-1) + 3/2*(x*e + d)^2*a^2*b^2*g*n^2*e^(-2) - 12*(x*e + d)*a^2*b^2*d*g*n^2*e^(-2) - 12*(x*e + d)*a^2*b^2*f*n^2*e^(-1)*log(x*e + d) + 2*(x*e + d)^2*a^3*b*g*n*e^(-2)*log(x*e + d) - 4*(x*e + d)*a^3*b*d*g*n*e^(-2)*log(x*e + d) + 24*(x*e + d)*a*b^3*f*n^2*e^(-1)*log(c) - 3*(x*e + d)^2*a^2*b^2*g*n*e^(-2)*log(c) + 12*(x*e + d)*a^2*b^2*d*g*n*e^(-2)*log(c) + 12*(x*e + d)*a^2*b^2*f*n*e^(-1)*log(x*e + d)*log(c) - 12*(x*e + d)*a*b^3*f*n*e^(-1)*log(c)^2 + 3*(x*e + d)^2*a^2*b^2*g*e^(-2)*log(c)^2 - 6*(x*e + d)*a^2*b^2*d*g*e^(-2)*log(c)^2 + 4*(x*e + d)*a*b^3*f*e^(-1)*log(c)^3 + 12*(x*e + d)*a^2*b^2*f*n^2*e^(-1) - (x*e + d)^2*a^3*b*g*n*e^(-2) + 4*(x*e + d)*a^3*b*d*g*n*e^(-2) + 4*(x*e + d)*a^3*b*f*n*e^(-1)*log(x*e + d) - 12*(x*e + d)*a^2*b^2*f*n*e^(-1)*log(c) + 2*(x*e + d)^2*a^3*b*g*e^(-2)*log(c) - 4*(x*e + d)*a^3*b*d*g*e^(-2)*log(c) + 6*(x*e + d)*a^2*b^2*f*e^(-1)*log(c)^2 - 4*(x*e + d)*a^3*b*f*n*e^(-1) + 1/2*(x*e + d)^2*a^4*g*e^(-2) - (x*e + d)*a^4*d*g*e^(-2) + 4*(x*e + d)*a^3*b*f*e^(-1)*log(c) + (x*e + d)*a^4*f*e^(-1)","B",0
61,1,778,0,0.221780," ","integrate((a+b*log(c*(e*x+d)^n))^4,x, algorithm=""giac"")","{\left(x e + d\right)} b^{4} n^{4} e^{\left(-1\right)} \log\left(x e + d\right)^{4} - 4 \, {\left(x e + d\right)} b^{4} n^{4} e^{\left(-1\right)} \log\left(x e + d\right)^{3} + 4 \, {\left(x e + d\right)} b^{4} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{3} \log\left(c\right) + 12 \, {\left(x e + d\right)} b^{4} n^{4} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + 4 \, {\left(x e + d\right)} a b^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{3} - 12 \, {\left(x e + d\right)} b^{4} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right) + 6 \, {\left(x e + d\right)} b^{4} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right)^{2} - 24 \, {\left(x e + d\right)} b^{4} n^{4} e^{\left(-1\right)} \log\left(x e + d\right) - 12 \, {\left(x e + d\right)} a b^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right)^{2} + 24 \, {\left(x e + d\right)} b^{4} n^{3} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + 12 \, {\left(x e + d\right)} a b^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} \log\left(c\right) - 12 \, {\left(x e + d\right)} b^{4} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{2} + 4 \, {\left(x e + d\right)} b^{4} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{3} + 24 \, {\left(x e + d\right)} b^{4} n^{4} e^{\left(-1\right)} + 24 \, {\left(x e + d\right)} a b^{3} n^{3} e^{\left(-1\right)} \log\left(x e + d\right) + 6 \, {\left(x e + d\right)} a^{2} b^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} - 24 \, {\left(x e + d\right)} b^{4} n^{3} e^{\left(-1\right)} \log\left(c\right) - 24 \, {\left(x e + d\right)} a b^{3} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + 12 \, {\left(x e + d\right)} b^{4} n^{2} e^{\left(-1\right)} \log\left(c\right)^{2} + 12 \, {\left(x e + d\right)} a b^{3} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right)^{2} - 4 \, {\left(x e + d\right)} b^{4} n e^{\left(-1\right)} \log\left(c\right)^{3} + {\left(x e + d\right)} b^{4} e^{\left(-1\right)} \log\left(c\right)^{4} - 24 \, {\left(x e + d\right)} a b^{3} n^{3} e^{\left(-1\right)} - 12 \, {\left(x e + d\right)} a^{2} b^{2} n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + 24 \, {\left(x e + d\right)} a b^{3} n^{2} e^{\left(-1\right)} \log\left(c\right) + 12 \, {\left(x e + d\right)} a^{2} b^{2} n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) - 12 \, {\left(x e + d\right)} a b^{3} n e^{\left(-1\right)} \log\left(c\right)^{2} + 4 \, {\left(x e + d\right)} a b^{3} e^{\left(-1\right)} \log\left(c\right)^{3} + 12 \, {\left(x e + d\right)} a^{2} b^{2} n^{2} e^{\left(-1\right)} + 4 \, {\left(x e + d\right)} a^{3} b n e^{\left(-1\right)} \log\left(x e + d\right) - 12 \, {\left(x e + d\right)} a^{2} b^{2} n e^{\left(-1\right)} \log\left(c\right) + 6 \, {\left(x e + d\right)} a^{2} b^{2} e^{\left(-1\right)} \log\left(c\right)^{2} - 4 \, {\left(x e + d\right)} a^{3} b n e^{\left(-1\right)} + 4 \, {\left(x e + d\right)} a^{3} b e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a^{4} e^{\left(-1\right)}"," ",0,"(x*e + d)*b^4*n^4*e^(-1)*log(x*e + d)^4 - 4*(x*e + d)*b^4*n^4*e^(-1)*log(x*e + d)^3 + 4*(x*e + d)*b^4*n^3*e^(-1)*log(x*e + d)^3*log(c) + 12*(x*e + d)*b^4*n^4*e^(-1)*log(x*e + d)^2 + 4*(x*e + d)*a*b^3*n^3*e^(-1)*log(x*e + d)^3 - 12*(x*e + d)*b^4*n^3*e^(-1)*log(x*e + d)^2*log(c) + 6*(x*e + d)*b^4*n^2*e^(-1)*log(x*e + d)^2*log(c)^2 - 24*(x*e + d)*b^4*n^4*e^(-1)*log(x*e + d) - 12*(x*e + d)*a*b^3*n^3*e^(-1)*log(x*e + d)^2 + 24*(x*e + d)*b^4*n^3*e^(-1)*log(x*e + d)*log(c) + 12*(x*e + d)*a*b^3*n^2*e^(-1)*log(x*e + d)^2*log(c) - 12*(x*e + d)*b^4*n^2*e^(-1)*log(x*e + d)*log(c)^2 + 4*(x*e + d)*b^4*n*e^(-1)*log(x*e + d)*log(c)^3 + 24*(x*e + d)*b^4*n^4*e^(-1) + 24*(x*e + d)*a*b^3*n^3*e^(-1)*log(x*e + d) + 6*(x*e + d)*a^2*b^2*n^2*e^(-1)*log(x*e + d)^2 - 24*(x*e + d)*b^4*n^3*e^(-1)*log(c) - 24*(x*e + d)*a*b^3*n^2*e^(-1)*log(x*e + d)*log(c) + 12*(x*e + d)*b^4*n^2*e^(-1)*log(c)^2 + 12*(x*e + d)*a*b^3*n*e^(-1)*log(x*e + d)*log(c)^2 - 4*(x*e + d)*b^4*n*e^(-1)*log(c)^3 + (x*e + d)*b^4*e^(-1)*log(c)^4 - 24*(x*e + d)*a*b^3*n^3*e^(-1) - 12*(x*e + d)*a^2*b^2*n^2*e^(-1)*log(x*e + d) + 24*(x*e + d)*a*b^3*n^2*e^(-1)*log(c) + 12*(x*e + d)*a^2*b^2*n*e^(-1)*log(x*e + d)*log(c) - 12*(x*e + d)*a*b^3*n*e^(-1)*log(c)^2 + 4*(x*e + d)*a*b^3*e^(-1)*log(c)^3 + 12*(x*e + d)*a^2*b^2*n^2*e^(-1) + 4*(x*e + d)*a^3*b*n*e^(-1)*log(x*e + d) - 12*(x*e + d)*a^2*b^2*n*e^(-1)*log(c) + 6*(x*e + d)*a^2*b^2*e^(-1)*log(c)^2 - 4*(x*e + d)*a^3*b*n*e^(-1) + 4*(x*e + d)*a^3*b*e^(-1)*log(c) + (x*e + d)*a^4*e^(-1)","B",0
62,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^4/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{4}}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^4/(g*x + f), x)","F",0
63,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^4/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{4}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^4/(g*x + f)^2, x)","F",0
64,1,23,0,0.158432," ","integrate(log(b*x+a),x, algorithm=""giac"")","-\frac{b x - {\left(b x + a\right)} \log\left(b x + a\right) + a}{b}"," ",0,"-(b*x - (b*x + a)*log(b*x + a) + a)/b","A",0
65,1,44,0,0.163482," ","integrate(log(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)} \log\left(b x + a\right)^{2}}{b} - \frac{2 \, {\left(b x + a\right)} \log\left(b x + a\right)}{b} + \frac{2 \, {\left(b x + a\right)}}{b}"," ",0,"(b*x + a)*log(b*x + a)^2/b - 2*(b*x + a)*log(b*x + a)/b + 2*(b*x + a)/b","A",0
66,1,62,0,0.176497," ","integrate(log(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(b x + a\right)} \log\left(b x + a\right)^{3}}{b} - \frac{3 \, {\left(b x + a\right)} \log\left(b x + a\right)^{2}}{b} + \frac{6 \, {\left(b x + a\right)} \log\left(b x + a\right)}{b} - \frac{6 \, {\left(b x + a\right)}}{b}"," ",0,"(b*x + a)*log(b*x + a)^3/b - 3*(b*x + a)*log(b*x + a)^2/b + 6*(b*x + a)*log(b*x + a)/b - 6*(b*x + a)/b","A",0
67,1,34,0,0.175145," ","integrate(log(b*x+c*x+a),x, algorithm=""giac"")","-\frac{b x + c x - {\left(b x + c x + a\right)} \log\left(b x + c x + a\right) + a}{b + c}"," ",0,"-(b*x + c*x - (b*x + c*x + a)*log(b*x + c*x + a) + a)/(b + c)","A",0
68,1,65,0,0.173862," ","integrate(log(b*x+c*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + c x + a\right)} \log\left(b x + c x + a\right)^{2}}{b + c} - \frac{2 \, {\left(b x + c x + a\right)} \log\left(b x + c x + a\right)}{b + c} + \frac{2 \, {\left(b x + c x + a\right)}}{b + c}"," ",0,"(b*x + c*x + a)*log(b*x + c*x + a)^2/(b + c) - 2*(b*x + c*x + a)*log(b*x + c*x + a)/(b + c) + 2*(b*x + c*x + a)/(b + c)","A",0
69,1,91,0,0.170219," ","integrate(log(b*x+c*x+a)^3,x, algorithm=""giac"")","\frac{{\left(b x + c x + a\right)} \log\left(b x + c x + a\right)^{3}}{b + c} - \frac{3 \, {\left(b x + c x + a\right)} \log\left(b x + c x + a\right)^{2}}{b + c} + \frac{6 \, {\left(b x + c x + a\right)} \log\left(b x + c x + a\right)}{b + c} - \frac{6 \, {\left(b x + c x + a\right)}}{b + c}"," ",0,"(b*x + c*x + a)*log(b*x + c*x + a)^3/(b + c) - 3*(b*x + c*x + a)*log(b*x + c*x + a)^2/(b + c) + 6*(b*x + c*x + a)*log(b*x + c*x + a)/(b + c) - 6*(b*x + c*x + a)/(b + c)","A",0
70,1,40,0,0.162704," ","integrate(log(c*(e*x+d)^n),x, algorithm=""giac"")","{\left(x e + d\right)} n e^{\left(-1\right)} \log\left(x e + d\right) - {\left(x e + d\right)} n e^{\left(-1\right)} + {\left(x e + d\right)} e^{\left(-1\right)} \log\left(c\right)"," ",0,"(x*e + d)*n*e^(-1)*log(x*e + d) - (x*e + d)*n*e^(-1) + (x*e + d)*e^(-1)*log(c)","A",0
71,0,0,0,0.000000," ","integrate(log(-g*(e*x+d)/(-d*g+e*f))/(g*x+f),x, algorithm=""giac"")","\int \frac{\log\left(-\frac{{\left(e x + d\right)} g}{e f - d g}\right)}{g x + f}\,{d x}"," ",0,"integrate(log(-(e*x + d)*g/(e*f - d*g))/(g*x + f), x)","F",0
72,0,0,0,0.000000," ","integrate((a+b*log(c*(1/c+e*x)))/x,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + \frac{1}{c}\right)} c\right) + a}{x}\,{d x}"," ",0,"integrate((b*log((e*x + 1/c)*c) + a)/x, x)","F",0
73,0,0,0,0.000000," ","integrate(log(e*x+3)/x,x, algorithm=""giac"")","\int \frac{\log\left(e x + 3\right)}{x}\,{d x}"," ",0,"integrate(log(e*x + 3)/x, x)","F",0
74,0,0,0,0.000000," ","integrate(log(e*x+2)/x,x, algorithm=""giac"")","\int \frac{\log\left(e x + 2\right)}{x}\,{d x}"," ",0,"integrate(log(e*x + 2)/x, x)","F",0
75,0,0,0,0.000000," ","integrate(log(e*x+1)/x,x, algorithm=""giac"")","\int \frac{\log\left(e x + 1\right)}{x}\,{d x}"," ",0,"integrate(log(e*x + 1)/x, x)","F",0
76,1,9,0,0.190784," ","integrate(log(e*x)/x,x, algorithm=""giac"")","\frac{1}{2} \, \log\left(x\right)^{2} + \log\left(x\right)"," ",0,"1/2*log(x)^2 + log(x)","A",0
77,0,0,0,0.000000," ","integrate(log(e*x-1)/x,x, algorithm=""giac"")","\int \frac{\log\left(e x - 1\right)}{x}\,{d x}"," ",0,"integrate(log(e*x - 1)/x, x)","F",0
78,0,0,0,0.000000," ","integrate(log(e*x-2)/x,x, algorithm=""giac"")","\int \frac{\log\left(e x - 2\right)}{x}\,{d x}"," ",0,"integrate(log(e*x - 2)/x, x)","F",0
79,0,0,0,0.000000," ","integrate((a+b*log(e*x+3))/x,x, algorithm=""giac"")","\int \frac{b \log\left(e x + 3\right) + a}{x}\,{d x}"," ",0,"integrate((b*log(e*x + 3) + a)/x, x)","F",0
80,0,0,0,0.000000," ","integrate((a+b*log(e*x+2))/x,x, algorithm=""giac"")","\int \frac{b \log\left(e x + 2\right) + a}{x}\,{d x}"," ",0,"integrate((b*log(e*x + 2) + a)/x, x)","F",0
81,0,0,0,0.000000," ","integrate((a+b*log(e*x+1))/x,x, algorithm=""giac"")","\int \frac{b \log\left(e x + 1\right) + a}{x}\,{d x}"," ",0,"integrate((b*log(e*x + 1) + a)/x, x)","F",0
82,1,14,0,0.165686," ","integrate((a+b*log(e*x))/x,x, algorithm=""giac"")","\frac{1}{2} \, b \log\left(x\right)^{2} + {\left(a + b\right)} \log\left(x\right)"," ",0,"1/2*b*log(x)^2 + (a + b)*log(x)","A",0
83,0,0,0,0.000000," ","integrate((a+b*log(e*x-1))/x,x, algorithm=""giac"")","\int \frac{b \log\left(e x - 1\right) + a}{x}\,{d x}"," ",0,"integrate((b*log(e*x - 1) + a)/x, x)","F",0
84,0,0,0,0.000000," ","integrate((a+b*log(e*x-2))/x,x, algorithm=""giac"")","\int \frac{b \log\left(e x - 2\right) + a}{x}\,{d x}"," ",0,"integrate((b*log(e*x - 2) + a)/x, x)","F",0
85,1,342,0,0.181407," ","integrate(x^2*log(c*(b*x+a)^n)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{3} n^{2} \log\left(b x + a\right)^{2}}{3 \, b^{3}} - \frac{{\left(b x + a\right)}^{2} a n^{2} \log\left(b x + a\right)^{2}}{b^{3}} + \frac{{\left(b x + a\right)} a^{2} n^{2} \log\left(b x + a\right)^{2}}{b^{3}} - \frac{2 \, {\left(b x + a\right)}^{3} n^{2} \log\left(b x + a\right)}{9 \, b^{3}} + \frac{{\left(b x + a\right)}^{2} a n^{2} \log\left(b x + a\right)}{b^{3}} - \frac{2 \, {\left(b x + a\right)} a^{2} n^{2} \log\left(b x + a\right)}{b^{3}} + \frac{2 \, {\left(b x + a\right)}^{3} n \log\left(b x + a\right) \log\left(c\right)}{3 \, b^{3}} - \frac{2 \, {\left(b x + a\right)}^{2} a n \log\left(b x + a\right) \log\left(c\right)}{b^{3}} + \frac{2 \, {\left(b x + a\right)} a^{2} n \log\left(b x + a\right) \log\left(c\right)}{b^{3}} + \frac{2 \, {\left(b x + a\right)}^{3} n^{2}}{27 \, b^{3}} - \frac{{\left(b x + a\right)}^{2} a n^{2}}{2 \, b^{3}} + \frac{2 \, {\left(b x + a\right)} a^{2} n^{2}}{b^{3}} - \frac{2 \, {\left(b x + a\right)}^{3} n \log\left(c\right)}{9 \, b^{3}} + \frac{{\left(b x + a\right)}^{2} a n \log\left(c\right)}{b^{3}} - \frac{2 \, {\left(b x + a\right)} a^{2} n \log\left(c\right)}{b^{3}} + \frac{{\left(b x + a\right)}^{3} \log\left(c\right)^{2}}{3 \, b^{3}} - \frac{{\left(b x + a\right)}^{2} a \log\left(c\right)^{2}}{b^{3}} + \frac{{\left(b x + a\right)} a^{2} \log\left(c\right)^{2}}{b^{3}}"," ",0,"1/3*(b*x + a)^3*n^2*log(b*x + a)^2/b^3 - (b*x + a)^2*a*n^2*log(b*x + a)^2/b^3 + (b*x + a)*a^2*n^2*log(b*x + a)^2/b^3 - 2/9*(b*x + a)^3*n^2*log(b*x + a)/b^3 + (b*x + a)^2*a*n^2*log(b*x + a)/b^3 - 2*(b*x + a)*a^2*n^2*log(b*x + a)/b^3 + 2/3*(b*x + a)^3*n*log(b*x + a)*log(c)/b^3 - 2*(b*x + a)^2*a*n*log(b*x + a)*log(c)/b^3 + 2*(b*x + a)*a^2*n*log(b*x + a)*log(c)/b^3 + 2/27*(b*x + a)^3*n^2/b^3 - 1/2*(b*x + a)^2*a*n^2/b^3 + 2*(b*x + a)*a^2*n^2/b^3 - 2/9*(b*x + a)^3*n*log(c)/b^3 + (b*x + a)^2*a*n*log(c)/b^3 - 2*(b*x + a)*a^2*n*log(c)/b^3 + 1/3*(b*x + a)^3*log(c)^2/b^3 - (b*x + a)^2*a*log(c)^2/b^3 + (b*x + a)*a^2*log(c)^2/b^3","A",0
86,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)^2/x^4,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)^{2}}{x^{4}}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)^2/x^4, x)","F",0
87,1,626,0,0.199823," ","integrate(x^2*log(c*(b*x+a)^n)^3,x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{3} n^{3} \log\left(b x + a\right)^{3}}{3 \, b^{3}} - \frac{{\left(b x + a\right)}^{2} a n^{3} \log\left(b x + a\right)^{3}}{b^{3}} + \frac{{\left(b x + a\right)} a^{2} n^{3} \log\left(b x + a\right)^{3}}{b^{3}} - \frac{{\left(b x + a\right)}^{3} n^{3} \log\left(b x + a\right)^{2}}{3 \, b^{3}} + \frac{3 \, {\left(b x + a\right)}^{2} a n^{3} \log\left(b x + a\right)^{2}}{2 \, b^{3}} - \frac{3 \, {\left(b x + a\right)} a^{2} n^{3} \log\left(b x + a\right)^{2}}{b^{3}} + \frac{{\left(b x + a\right)}^{3} n^{2} \log\left(b x + a\right)^{2} \log\left(c\right)}{b^{3}} - \frac{3 \, {\left(b x + a\right)}^{2} a n^{2} \log\left(b x + a\right)^{2} \log\left(c\right)}{b^{3}} + \frac{3 \, {\left(b x + a\right)} a^{2} n^{2} \log\left(b x + a\right)^{2} \log\left(c\right)}{b^{3}} + \frac{2 \, {\left(b x + a\right)}^{3} n^{3} \log\left(b x + a\right)}{9 \, b^{3}} - \frac{3 \, {\left(b x + a\right)}^{2} a n^{3} \log\left(b x + a\right)}{2 \, b^{3}} + \frac{6 \, {\left(b x + a\right)} a^{2} n^{3} \log\left(b x + a\right)}{b^{3}} - \frac{2 \, {\left(b x + a\right)}^{3} n^{2} \log\left(b x + a\right) \log\left(c\right)}{3 \, b^{3}} + \frac{3 \, {\left(b x + a\right)}^{2} a n^{2} \log\left(b x + a\right) \log\left(c\right)}{b^{3}} - \frac{6 \, {\left(b x + a\right)} a^{2} n^{2} \log\left(b x + a\right) \log\left(c\right)}{b^{3}} + \frac{{\left(b x + a\right)}^{3} n \log\left(b x + a\right) \log\left(c\right)^{2}}{b^{3}} - \frac{3 \, {\left(b x + a\right)}^{2} a n \log\left(b x + a\right) \log\left(c\right)^{2}}{b^{3}} + \frac{3 \, {\left(b x + a\right)} a^{2} n \log\left(b x + a\right) \log\left(c\right)^{2}}{b^{3}} - \frac{2 \, {\left(b x + a\right)}^{3} n^{3}}{27 \, b^{3}} + \frac{3 \, {\left(b x + a\right)}^{2} a n^{3}}{4 \, b^{3}} - \frac{6 \, {\left(b x + a\right)} a^{2} n^{3}}{b^{3}} + \frac{2 \, {\left(b x + a\right)}^{3} n^{2} \log\left(c\right)}{9 \, b^{3}} - \frac{3 \, {\left(b x + a\right)}^{2} a n^{2} \log\left(c\right)}{2 \, b^{3}} + \frac{6 \, {\left(b x + a\right)} a^{2} n^{2} \log\left(c\right)}{b^{3}} - \frac{{\left(b x + a\right)}^{3} n \log\left(c\right)^{2}}{3 \, b^{3}} + \frac{3 \, {\left(b x + a\right)}^{2} a n \log\left(c\right)^{2}}{2 \, b^{3}} - \frac{3 \, {\left(b x + a\right)} a^{2} n \log\left(c\right)^{2}}{b^{3}} + \frac{{\left(b x + a\right)}^{3} \log\left(c\right)^{3}}{3 \, b^{3}} - \frac{{\left(b x + a\right)}^{2} a \log\left(c\right)^{3}}{b^{3}} + \frac{{\left(b x + a\right)} a^{2} \log\left(c\right)^{3}}{b^{3}}"," ",0,"1/3*(b*x + a)^3*n^3*log(b*x + a)^3/b^3 - (b*x + a)^2*a*n^3*log(b*x + a)^3/b^3 + (b*x + a)*a^2*n^3*log(b*x + a)^3/b^3 - 1/3*(b*x + a)^3*n^3*log(b*x + a)^2/b^3 + 3/2*(b*x + a)^2*a*n^3*log(b*x + a)^2/b^3 - 3*(b*x + a)*a^2*n^3*log(b*x + a)^2/b^3 + (b*x + a)^3*n^2*log(b*x + a)^2*log(c)/b^3 - 3*(b*x + a)^2*a*n^2*log(b*x + a)^2*log(c)/b^3 + 3*(b*x + a)*a^2*n^2*log(b*x + a)^2*log(c)/b^3 + 2/9*(b*x + a)^3*n^3*log(b*x + a)/b^3 - 3/2*(b*x + a)^2*a*n^3*log(b*x + a)/b^3 + 6*(b*x + a)*a^2*n^3*log(b*x + a)/b^3 - 2/3*(b*x + a)^3*n^2*log(b*x + a)*log(c)/b^3 + 3*(b*x + a)^2*a*n^2*log(b*x + a)*log(c)/b^3 - 6*(b*x + a)*a^2*n^2*log(b*x + a)*log(c)/b^3 + (b*x + a)^3*n*log(b*x + a)*log(c)^2/b^3 - 3*(b*x + a)^2*a*n*log(b*x + a)*log(c)^2/b^3 + 3*(b*x + a)*a^2*n*log(b*x + a)*log(c)^2/b^3 - 2/27*(b*x + a)^3*n^3/b^3 + 3/4*(b*x + a)^2*a*n^3/b^3 - 6*(b*x + a)*a^2*n^3/b^3 + 2/9*(b*x + a)^3*n^2*log(c)/b^3 - 3/2*(b*x + a)^2*a*n^2*log(c)/b^3 + 6*(b*x + a)*a^2*n^2*log(c)/b^3 - 1/3*(b*x + a)^3*n*log(c)^2/b^3 + 3/2*(b*x + a)^2*a*n*log(c)^2/b^3 - 3*(b*x + a)*a^2*n*log(c)^2/b^3 + 1/3*(b*x + a)^3*log(c)^3/b^3 - (b*x + a)^2*a*log(c)^3/b^3 + (b*x + a)*a^2*log(c)^3/b^3","B",0
88,1,582,0,0.375297," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","-\frac{d^{3} g^{3} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} - 4\right)}}{b c^{\left(\frac{1}{n}\right)} n} + \frac{3 \, d^{2} f g^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} - 3\right)}}{b c^{\left(\frac{1}{n}\right)} n} + \frac{3 \, d^{2} g^{3} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} - 4\right)}}{b c^{\frac{2}{n}} n} - \frac{3 \, d f^{2} g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} - 2\right)}}{b c^{\left(\frac{1}{n}\right)} n} - \frac{6 \, d f g^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} - 3\right)}}{b c^{\frac{2}{n}} n} - \frac{3 \, d g^{3} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} - 4\right)}}{b c^{\frac{3}{n}} n} + \frac{f^{3} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} - 1\right)}}{b c^{\left(\frac{1}{n}\right)} n} + \frac{3 \, f^{2} g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} - 2\right)}}{b c^{\frac{2}{n}} n} + \frac{3 \, f g^{2} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} - 3\right)}}{b c^{\frac{3}{n}} n} + \frac{g^{3} {\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x e + d\right)\right) e^{\left(-\frac{4 \, a}{b n} - 4\right)}}{b c^{\frac{4}{n}} n}"," ",0,"-d^3*g^3*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) - 4)/(b*c^(1/n)*n) + 3*d^2*f*g^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) - 3)/(b*c^(1/n)*n) + 3*d^2*g^3*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) - 4)/(b*c^(2/n)*n) - 3*d*f^2*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) - 2)/(b*c^(1/n)*n) - 6*d*f*g^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) - 3)/(b*c^(2/n)*n) - 3*d*g^3*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) - 4)/(b*c^(3/n)*n) + f^3*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) - 1)/(b*c^(1/n)*n) + 3*f^2*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) - 2)/(b*c^(2/n)*n) + 3*f*g^2*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) - 3)/(b*c^(3/n)*n) + g^3*Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x*e + d))*e^(-4*a/(b*n) - 4)/(b*c^(4/n)*n)","A",0
89,1,337,0,0.261757," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\frac{d^{2} g^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} - 3\right)}}{b c^{\left(\frac{1}{n}\right)} n} - \frac{2 \, d f g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} - 2\right)}}{b c^{\left(\frac{1}{n}\right)} n} - \frac{2 \, d g^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} - 3\right)}}{b c^{\frac{2}{n}} n} + \frac{f^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} - 1\right)}}{b c^{\left(\frac{1}{n}\right)} n} + \frac{2 \, f g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} - 2\right)}}{b c^{\frac{2}{n}} n} + \frac{g^{2} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} - 3\right)}}{b c^{\frac{3}{n}} n}"," ",0,"d^2*g^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) - 3)/(b*c^(1/n)*n) - 2*d*f*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) - 2)/(b*c^(1/n)*n) - 2*d*g^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) - 3)/(b*c^(2/n)*n) + f^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) - 1)/(b*c^(1/n)*n) + 2*f*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) - 2)/(b*c^(2/n)*n) + g^2*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) - 3)/(b*c^(3/n)*n)","A",0
90,1,159,0,0.205233," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","-\frac{d g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} - 2\right)}}{b c^{\left(\frac{1}{n}\right)} n} + \frac{f {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} - 1\right)}}{b c^{\left(\frac{1}{n}\right)} n} + \frac{g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} - 2\right)}}{b c^{\frac{2}{n}} n}"," ",0,"-d*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) - 2)/(b*c^(1/n)*n) + f*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) - 1)/(b*c^(1/n)*n) + g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) - 2)/(b*c^(2/n)*n)","A",0
91,1,49,0,0.179046," ","integrate(1/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} - 1\right)}}{b c^{\left(\frac{1}{n}\right)} n}"," ",0,"Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) - 1)/(b*c^(1/n)*n)","A",0
92,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(b*log((e*x + d)^n*c) + a)), x)","F",0
93,0,0,0,0.000000," ","integrate(1/(g*x+f)^2/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)^2*(b*log((e*x + d)^n*c) + a)), x)","F",0
94,1,3475,0,0.819791," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","-\frac{{\left(x e + d\right)}^{4} b g^{3} n e^{6}}{b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}} + \frac{3 \, {\left(x e + d\right)}^{3} b d g^{3} n e^{6}}{b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}} - \frac{3 \, {\left(x e + d\right)}^{2} b d^{2} g^{3} n e^{6}}{b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}} + \frac{{\left(x e + d\right)} b d^{3} g^{3} n e^{6}}{b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}} - \frac{b d^{3} g^{3} n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 6\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{3 \, {\left(x e + d\right)}^{3} b f g^{2} n e^{7}}{b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}} + \frac{6 \, {\left(x e + d\right)}^{2} b d f g^{2} n e^{7}}{b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}} - \frac{3 \, {\left(x e + d\right)} b d^{2} f g^{2} n e^{7}}{b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}} + \frac{3 \, b d^{2} f g^{2} n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 7\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{6 \, b d^{2} g^{3} n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 6\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{2}{n}}} - \frac{b d^{3} g^{3} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 6\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{3 \, {\left(x e + d\right)}^{2} b f^{2} g n e^{8}}{b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}} + \frac{3 \, {\left(x e + d\right)} b d f^{2} g n e^{8}}{b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}} - \frac{a d^{3} g^{3} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 6\right)}}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{3 \, b d f^{2} g n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 8\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{12 \, b d f g^{2} n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 7\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{2}{n}}} - \frac{9 \, b d g^{3} n {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 6\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{3}{n}}} + \frac{3 \, b d^{2} f g^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 7\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{6 \, b d^{2} g^{3} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 6\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{2}{n}}} - \frac{{\left(x e + d\right)} b f^{3} n e^{9}}{b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}} + \frac{3 \, a d^{2} f g^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 7\right)}}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{6 \, a d^{2} g^{3} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 6\right)}}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{2}{n}}} + \frac{b f^{3} n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 9\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{6 \, b f^{2} g n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 8\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{2}{n}}} + \frac{9 \, b f g^{2} n {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 7\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{3}{n}}} + \frac{4 \, b g^{3} n {\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x e + d\right)\right) e^{\left(-\frac{4 \, a}{b n} + 6\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{4}{n}}} - \frac{3 \, b d f^{2} g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 8\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{12 \, b d f g^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 7\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{2}{n}}} - \frac{9 \, b d g^{3} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 6\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{3}{n}}} - \frac{3 \, a d f^{2} g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 8\right)}}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{12 \, a d f g^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 7\right)}}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{2}{n}}} - \frac{9 \, a d g^{3} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 6\right)}}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{3}{n}}} + \frac{b f^{3} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 9\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{6 \, b f^{2} g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 8\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{2}{n}}} + \frac{9 \, b f g^{2} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 7\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{3}{n}}} + \frac{4 \, b g^{3} {\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x e + d\right)\right) e^{\left(-\frac{4 \, a}{b n} + 6\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{4}{n}}} + \frac{a f^{3} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 9\right)}}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{6 \, a f^{2} g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 8\right)}}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{2}{n}}} + \frac{9 \, a f g^{2} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 7\right)}}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{3}{n}}} + \frac{4 \, a g^{3} {\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x e + d\right)\right) e^{\left(-\frac{4 \, a}{b n} + 6\right)}}{{\left(b^{3} n^{3} e^{10} \log\left(x e + d\right) + b^{3} n^{2} e^{10} \log\left(c\right) + a b^{2} n^{2} e^{10}\right)} c^{\frac{4}{n}}}"," ",0,"-(x*e + d)^4*b*g^3*n*e^6/(b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10) + 3*(x*e + d)^3*b*d*g^3*n*e^6/(b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10) - 3*(x*e + d)^2*b*d^2*g^3*n*e^6/(b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10) + (x*e + d)*b*d^3*g^3*n*e^6/(b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10) - b*d^3*g^3*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 6)*log(x*e + d)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(1/n)) - 3*(x*e + d)^3*b*f*g^2*n*e^7/(b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10) + 6*(x*e + d)^2*b*d*f*g^2*n*e^7/(b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10) - 3*(x*e + d)*b*d^2*f*g^2*n*e^7/(b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10) + 3*b*d^2*f*g^2*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 7)*log(x*e + d)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(1/n)) + 6*b*d^2*g^3*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 6)*log(x*e + d)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(2/n)) - b*d^3*g^3*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 6)*log(c)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(1/n)) - 3*(x*e + d)^2*b*f^2*g*n*e^8/(b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10) + 3*(x*e + d)*b*d*f^2*g*n*e^8/(b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10) - a*d^3*g^3*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 6)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(1/n)) - 3*b*d*f^2*g*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 8)*log(x*e + d)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(1/n)) - 12*b*d*f*g^2*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 7)*log(x*e + d)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(2/n)) - 9*b*d*g^3*n*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 6)*log(x*e + d)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(3/n)) + 3*b*d^2*f*g^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 7)*log(c)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(1/n)) + 6*b*d^2*g^3*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 6)*log(c)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(2/n)) - (x*e + d)*b*f^3*n*e^9/(b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10) + 3*a*d^2*f*g^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 7)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(1/n)) + 6*a*d^2*g^3*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 6)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(2/n)) + b*f^3*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 9)*log(x*e + d)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(1/n)) + 6*b*f^2*g*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 8)*log(x*e + d)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(2/n)) + 9*b*f*g^2*n*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 7)*log(x*e + d)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(3/n)) + 4*b*g^3*n*Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x*e + d))*e^(-4*a/(b*n) + 6)*log(x*e + d)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(4/n)) - 3*b*d*f^2*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 8)*log(c)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(1/n)) - 12*b*d*f*g^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 7)*log(c)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(2/n)) - 9*b*d*g^3*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 6)*log(c)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(3/n)) - 3*a*d*f^2*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 8)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(1/n)) - 12*a*d*f*g^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 7)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(2/n)) - 9*a*d*g^3*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 6)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(3/n)) + b*f^3*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 9)*log(c)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(1/n)) + 6*b*f^2*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 8)*log(c)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(2/n)) + 9*b*f*g^2*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 7)*log(c)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(3/n)) + 4*b*g^3*Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x*e + d))*e^(-4*a/(b*n) + 6)*log(c)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(4/n)) + a*f^3*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 9)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(1/n)) + 6*a*f^2*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 8)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(2/n)) + 9*a*f*g^2*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 7)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(3/n)) + 4*a*g^3*Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x*e + d))*e^(-4*a/(b*n) + 6)/((b^3*n^3*e^10*log(x*e + d) + b^3*n^2*e^10*log(c) + a*b^2*n^2*e^10)*c^(4/n))","B",0
95,1,2041,0,0.497267," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","-\frac{{\left(x e + d\right)}^{3} b g^{2} n e^{3}}{b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}} + \frac{2 \, {\left(x e + d\right)}^{2} b d g^{2} n e^{3}}{b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}} - \frac{{\left(x e + d\right)} b d^{2} g^{2} n e^{3}}{b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}} + \frac{b d^{2} g^{2} n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 3\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{2 \, {\left(x e + d\right)}^{2} b f g n e^{4}}{b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}} + \frac{2 \, {\left(x e + d\right)} b d f g n e^{4}}{b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}} - \frac{2 \, b d f g n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 4\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{4 \, b d g^{2} n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 3\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\frac{2}{n}}} + \frac{b d^{2} g^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 3\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} b f^{2} n e^{5}}{b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}} + \frac{a d^{2} g^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 3\right)}}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{b f^{2} n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 5\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{4 \, b f g n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 4\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\frac{2}{n}}} + \frac{3 \, b g^{2} n {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 3\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\frac{3}{n}}} - \frac{2 \, b d f g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 4\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{4 \, b d g^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 3\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\frac{2}{n}}} - \frac{2 \, a d f g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 4\right)}}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{4 \, a d g^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 3\right)}}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\frac{2}{n}}} + \frac{b f^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 5\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{4 \, b f g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 4\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\frac{2}{n}}} + \frac{3 \, b g^{2} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 3\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\frac{3}{n}}} + \frac{a f^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 5\right)}}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{4 \, a f g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 4\right)}}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\frac{2}{n}}} + \frac{3 \, a g^{2} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 3\right)}}{{\left(b^{3} n^{3} e^{6} \log\left(x e + d\right) + b^{3} n^{2} e^{6} \log\left(c\right) + a b^{2} n^{2} e^{6}\right)} c^{\frac{3}{n}}}"," ",0,"-(x*e + d)^3*b*g^2*n*e^3/(b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6) + 2*(x*e + d)^2*b*d*g^2*n*e^3/(b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6) - (x*e + d)*b*d^2*g^2*n*e^3/(b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6) + b*d^2*g^2*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 3)*log(x*e + d)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(1/n)) - 2*(x*e + d)^2*b*f*g*n*e^4/(b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6) + 2*(x*e + d)*b*d*f*g*n*e^4/(b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6) - 2*b*d*f*g*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 4)*log(x*e + d)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(1/n)) - 4*b*d*g^2*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 3)*log(x*e + d)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(2/n)) + b*d^2*g^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 3)*log(c)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(1/n)) - (x*e + d)*b*f^2*n*e^5/(b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6) + a*d^2*g^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 3)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(1/n)) + b*f^2*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 5)*log(x*e + d)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(1/n)) + 4*b*f*g*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 4)*log(x*e + d)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(2/n)) + 3*b*g^2*n*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 3)*log(x*e + d)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(3/n)) - 2*b*d*f*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 4)*log(c)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(1/n)) - 4*b*d*g^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 3)*log(c)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(2/n)) - 2*a*d*f*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 4)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(1/n)) - 4*a*d*g^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 3)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(2/n)) + b*f^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 5)*log(c)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(1/n)) + 4*b*f*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 4)*log(c)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(2/n)) + 3*b*g^2*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 3)*log(c)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(3/n)) + a*f^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 5)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(1/n)) + 4*a*f*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 4)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(2/n)) + 3*a*g^2*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 3)/((b^3*n^3*e^6*log(x*e + d) + b^3*n^2*e^6*log(c) + a*b^2*n^2*e^6)*c^(3/n))","B",0
96,1,984,0,0.365075," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","-\frac{{\left(x e + d\right)}^{2} b g n e}{b^{3} n^{3} e^{3} \log\left(x e + d\right) + b^{3} n^{2} e^{3} \log\left(c\right) + a b^{2} n^{2} e^{3}} + \frac{{\left(x e + d\right)} b d g n e}{b^{3} n^{3} e^{3} \log\left(x e + d\right) + b^{3} n^{2} e^{3} \log\left(c\right) + a b^{2} n^{2} e^{3}} - \frac{b d g n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 1\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{3} \log\left(x e + d\right) + b^{3} n^{2} e^{3} \log\left(c\right) + a b^{2} n^{2} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} b f n e^{2}}{b^{3} n^{3} e^{3} \log\left(x e + d\right) + b^{3} n^{2} e^{3} \log\left(c\right) + a b^{2} n^{2} e^{3}} + \frac{b f n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 2\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{3} \log\left(x e + d\right) + b^{3} n^{2} e^{3} \log\left(c\right) + a b^{2} n^{2} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{2 \, b g n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 1\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e^{3} \log\left(x e + d\right) + b^{3} n^{2} e^{3} \log\left(c\right) + a b^{2} n^{2} e^{3}\right)} c^{\frac{2}{n}}} - \frac{b d g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 1\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{3} \log\left(x e + d\right) + b^{3} n^{2} e^{3} \log\left(c\right) + a b^{2} n^{2} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{a d g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 1\right)}}{{\left(b^{3} n^{3} e^{3} \log\left(x e + d\right) + b^{3} n^{2} e^{3} \log\left(c\right) + a b^{2} n^{2} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{b f {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 2\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{3} \log\left(x e + d\right) + b^{3} n^{2} e^{3} \log\left(c\right) + a b^{2} n^{2} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{2 \, b g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 1\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e^{3} \log\left(x e + d\right) + b^{3} n^{2} e^{3} \log\left(c\right) + a b^{2} n^{2} e^{3}\right)} c^{\frac{2}{n}}} + \frac{a f {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 2\right)}}{{\left(b^{3} n^{3} e^{3} \log\left(x e + d\right) + b^{3} n^{2} e^{3} \log\left(c\right) + a b^{2} n^{2} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{2 \, a g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 1\right)}}{{\left(b^{3} n^{3} e^{3} \log\left(x e + d\right) + b^{3} n^{2} e^{3} \log\left(c\right) + a b^{2} n^{2} e^{3}\right)} c^{\frac{2}{n}}}"," ",0,"-(x*e + d)^2*b*g*n*e/(b^3*n^3*e^3*log(x*e + d) + b^3*n^2*e^3*log(c) + a*b^2*n^2*e^3) + (x*e + d)*b*d*g*n*e/(b^3*n^3*e^3*log(x*e + d) + b^3*n^2*e^3*log(c) + a*b^2*n^2*e^3) - b*d*g*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 1)*log(x*e + d)/((b^3*n^3*e^3*log(x*e + d) + b^3*n^2*e^3*log(c) + a*b^2*n^2*e^3)*c^(1/n)) - (x*e + d)*b*f*n*e^2/(b^3*n^3*e^3*log(x*e + d) + b^3*n^2*e^3*log(c) + a*b^2*n^2*e^3) + b*f*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 2)*log(x*e + d)/((b^3*n^3*e^3*log(x*e + d) + b^3*n^2*e^3*log(c) + a*b^2*n^2*e^3)*c^(1/n)) + 2*b*g*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 1)*log(x*e + d)/((b^3*n^3*e^3*log(x*e + d) + b^3*n^2*e^3*log(c) + a*b^2*n^2*e^3)*c^(2/n)) - b*d*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 1)*log(c)/((b^3*n^3*e^3*log(x*e + d) + b^3*n^2*e^3*log(c) + a*b^2*n^2*e^3)*c^(1/n)) - a*d*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 1)/((b^3*n^3*e^3*log(x*e + d) + b^3*n^2*e^3*log(c) + a*b^2*n^2*e^3)*c^(1/n)) + b*f*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 2)*log(c)/((b^3*n^3*e^3*log(x*e + d) + b^3*n^2*e^3*log(c) + a*b^2*n^2*e^3)*c^(1/n)) + 2*b*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 1)*log(c)/((b^3*n^3*e^3*log(x*e + d) + b^3*n^2*e^3*log(c) + a*b^2*n^2*e^3)*c^(2/n)) + a*f*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 2)/((b^3*n^3*e^3*log(x*e + d) + b^3*n^2*e^3*log(c) + a*b^2*n^2*e^3)*c^(1/n)) + 2*a*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 1)/((b^3*n^3*e^3*log(x*e + d) + b^3*n^2*e^3*log(c) + a*b^2*n^2*e^3)*c^(2/n))","B",0
97,1,307,0,0.225492," ","integrate(1/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\frac{b n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(x e + d\right)}{{\left(b^{3} n^{3} e \log\left(x e + d\right) + b^{3} n^{2} e \log\left(c\right) + a b^{2} n^{2} e\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} b n}{b^{3} n^{3} e \log\left(x e + d\right) + b^{3} n^{2} e \log\left(c\right) + a b^{2} n^{2} e} + \frac{b {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(c\right)}{{\left(b^{3} n^{3} e \log\left(x e + d\right) + b^{3} n^{2} e \log\left(c\right) + a b^{2} n^{2} e\right)} c^{\left(\frac{1}{n}\right)}} + \frac{a {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)}}{{\left(b^{3} n^{3} e \log\left(x e + d\right) + b^{3} n^{2} e \log\left(c\right) + a b^{2} n^{2} e\right)} c^{\left(\frac{1}{n}\right)}}"," ",0,"b*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(x*e + d)/((b^3*n^3*e*log(x*e + d) + b^3*n^2*e*log(c) + a*b^2*n^2*e)*c^(1/n)) - (x*e + d)*b*n/(b^3*n^3*e*log(x*e + d) + b^3*n^2*e*log(c) + a*b^2*n^2*e) + b*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(c)/((b^3*n^3*e*log(x*e + d) + b^3*n^2*e*log(c) + a*b^2*n^2*e)*c^(1/n)) + a*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))/((b^3*n^3*e*log(x*e + d) + b^3*n^2*e*log(c) + a*b^2*n^2*e)*c^(1/n))","B",0
98,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(b*log((e*x + d)^n*c) + a)^2), x)","F",0
99,0,0,0,0.000000," ","integrate(1/(g*x+f)^2/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)^2*(b*log((e*x + d)^n*c) + a)^2), x)","F",0
100,1,8396,0,1.090036," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""giac"")","-\frac{3 \, {\left(x e + d\right)}^{3} b^{2} g^{2} n^{2} e^{3} \log\left(x e + d\right)}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)}} + \frac{2 \, {\left(x e + d\right)}^{2} b^{2} d g^{2} n^{2} e^{3} \log\left(x e + d\right)}{b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}} - \frac{{\left(x e + d\right)} b^{2} d^{2} g^{2} n^{2} e^{3} \log\left(x e + d\right)}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)}} + \frac{b^{2} d^{2} g^{2} n^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 3\right)} \log\left(x e + d\right)^{2}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)}^{3} b^{2} g^{2} n^{2} e^{3}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)}} + \frac{{\left(x e + d\right)}^{2} b^{2} d g^{2} n^{2} e^{3}}{b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}} - \frac{{\left(x e + d\right)} b^{2} d^{2} g^{2} n^{2} e^{3}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)}} - \frac{2 \, {\left(x e + d\right)}^{2} b^{2} f g n^{2} e^{4} \log\left(x e + d\right)}{b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}} + \frac{{\left(x e + d\right)} b^{2} d f g n^{2} e^{4} \log\left(x e + d\right)}{b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}} - \frac{b^{2} d f g n^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 4\right)} \log\left(x e + d\right)^{2}}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{4 \, b^{2} d g^{2} n^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 3\right)} \log\left(x e + d\right)^{2}}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{2}{n}}} - \frac{3 \, {\left(x e + d\right)}^{3} b^{2} g^{2} n e^{3} \log\left(c\right)}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)}} + \frac{2 \, {\left(x e + d\right)}^{2} b^{2} d g^{2} n e^{3} \log\left(c\right)}{b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}} - \frac{{\left(x e + d\right)} b^{2} d^{2} g^{2} n e^{3} \log\left(c\right)}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)}} + \frac{b^{2} d^{2} g^{2} n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 3\right)} \log\left(x e + d\right) \log\left(c\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)}^{2} b^{2} f g n^{2} e^{4}}{b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}} + \frac{{\left(x e + d\right)} b^{2} d f g n^{2} e^{4}}{b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}} - \frac{3 \, {\left(x e + d\right)}^{3} a b g^{2} n e^{3}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)}} + \frac{2 \, {\left(x e + d\right)}^{2} a b d g^{2} n e^{3}}{b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}} - \frac{{\left(x e + d\right)} a b d^{2} g^{2} n e^{3}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)}} - \frac{{\left(x e + d\right)} b^{2} f^{2} n^{2} e^{5} \log\left(x e + d\right)}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)}} + \frac{a b d^{2} g^{2} n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 3\right)} \log\left(x e + d\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{b^{2} f^{2} n^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 5\right)} \log\left(x e + d\right)^{2}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{4 \, b^{2} f g n^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 4\right)} \log\left(x e + d\right)^{2}}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{2}{n}}} + \frac{9 \, b^{2} g^{2} n^{2} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 3\right)} \log\left(x e + d\right)^{2}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{3}{n}}} - \frac{2 \, {\left(x e + d\right)}^{2} b^{2} f g n e^{4} \log\left(c\right)}{b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}} + \frac{{\left(x e + d\right)} b^{2} d f g n e^{4} \log\left(c\right)}{b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}} - \frac{2 \, b^{2} d f g n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 4\right)} \log\left(x e + d\right) \log\left(c\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{8 \, b^{2} d g^{2} n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 3\right)} \log\left(x e + d\right) \log\left(c\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{2}{n}}} + \frac{b^{2} d^{2} g^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 3\right)} \log\left(c\right)^{2}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} b^{2} f^{2} n^{2} e^{5}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)}} - \frac{2 \, {\left(x e + d\right)}^{2} a b f g n e^{4}}{b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}} + \frac{{\left(x e + d\right)} a b d f g n e^{4}}{b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}} - \frac{2 \, a b d f g n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 4\right)} \log\left(x e + d\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{8 \, a b d g^{2} n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 3\right)} \log\left(x e + d\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{2}{n}}} - \frac{{\left(x e + d\right)} b^{2} f^{2} n e^{5} \log\left(c\right)}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)}} + \frac{a b d^{2} g^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 3\right)} \log\left(c\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{b^{2} f^{2} n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 5\right)} \log\left(x e + d\right) \log\left(c\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{8 \, b^{2} f g n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 4\right)} \log\left(x e + d\right) \log\left(c\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{2}{n}}} + \frac{9 \, b^{2} g^{2} n {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 3\right)} \log\left(x e + d\right) \log\left(c\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{3}{n}}} - \frac{b^{2} d f g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 4\right)} \log\left(c\right)^{2}}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{4 \, b^{2} d g^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 3\right)} \log\left(c\right)^{2}}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{2}{n}}} - \frac{{\left(x e + d\right)} a b f^{2} n e^{5}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)}} + \frac{a^{2} d^{2} g^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 3\right)}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{a b f^{2} n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 5\right)} \log\left(x e + d\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{8 \, a b f g n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 4\right)} \log\left(x e + d\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{2}{n}}} + \frac{9 \, a b g^{2} n {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 3\right)} \log\left(x e + d\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{3}{n}}} - \frac{2 \, a b d f g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 4\right)} \log\left(c\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{8 \, a b d g^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 3\right)} \log\left(c\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{2}{n}}} + \frac{b^{2} f^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 5\right)} \log\left(c\right)^{2}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{4 \, b^{2} f g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 4\right)} \log\left(c\right)^{2}}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{2}{n}}} + \frac{9 \, b^{2} g^{2} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 3\right)} \log\left(c\right)^{2}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{3}{n}}} - \frac{a^{2} d f g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 4\right)}}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{4 \, a^{2} d g^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 3\right)}}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{2}{n}}} + \frac{a b f^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 5\right)} \log\left(c\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{8 \, a b f g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 4\right)} \log\left(c\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{2}{n}}} + \frac{9 \, a b g^{2} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 3\right)} \log\left(c\right)}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{3}{n}}} + \frac{a^{2} f^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 5\right)}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{4 \, a^{2} f g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 4\right)}}{{\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{2}{n}}} + \frac{9 \, a^{2} g^{2} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x e + d\right)\right) e^{\left(-\frac{3 \, a}{b n} + 3\right)}}{2 \, {\left(b^{5} n^{5} e^{6} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{6} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{6} \log\left(x e + d\right) + b^{5} n^{3} e^{6} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{6} \log\left(c\right) + a^{2} b^{3} n^{3} e^{6}\right)} c^{\frac{3}{n}}}"," ",0,"-3/2*(x*e + d)^3*b^2*g^2*n^2*e^3*log(x*e + d)/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) + 2*(x*e + d)^2*b^2*d*g^2*n^2*e^3*log(x*e + d)/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) - 1/2*(x*e + d)*b^2*d^2*g^2*n^2*e^3*log(x*e + d)/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) + 1/2*b^2*d^2*g^2*n^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 3)*log(x*e + d)^2/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) - 1/2*(x*e + d)^3*b^2*g^2*n^2*e^3/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) + (x*e + d)^2*b^2*d*g^2*n^2*e^3/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) - 1/2*(x*e + d)*b^2*d^2*g^2*n^2*e^3/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) - 2*(x*e + d)^2*b^2*f*g*n^2*e^4*log(x*e + d)/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) + (x*e + d)*b^2*d*f*g*n^2*e^4*log(x*e + d)/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) - b^2*d*f*g*n^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 4)*log(x*e + d)^2/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) - 4*b^2*d*g^2*n^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 3)*log(x*e + d)^2/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(2/n)) - 3/2*(x*e + d)^3*b^2*g^2*n*e^3*log(c)/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) + 2*(x*e + d)^2*b^2*d*g^2*n*e^3*log(c)/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) - 1/2*(x*e + d)*b^2*d^2*g^2*n*e^3*log(c)/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) + b^2*d^2*g^2*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 3)*log(x*e + d)*log(c)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) - (x*e + d)^2*b^2*f*g*n^2*e^4/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) + (x*e + d)*b^2*d*f*g*n^2*e^4/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) - 3/2*(x*e + d)^3*a*b*g^2*n*e^3/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) + 2*(x*e + d)^2*a*b*d*g^2*n*e^3/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) - 1/2*(x*e + d)*a*b*d^2*g^2*n*e^3/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) - 1/2*(x*e + d)*b^2*f^2*n^2*e^5*log(x*e + d)/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) + a*b*d^2*g^2*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 3)*log(x*e + d)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) + 1/2*b^2*f^2*n^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 5)*log(x*e + d)^2/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) + 4*b^2*f*g*n^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 4)*log(x*e + d)^2/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(2/n)) + 9/2*b^2*g^2*n^2*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 3)*log(x*e + d)^2/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(3/n)) - 2*(x*e + d)^2*b^2*f*g*n*e^4*log(c)/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) + (x*e + d)*b^2*d*f*g*n*e^4*log(c)/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) - 2*b^2*d*f*g*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 4)*log(x*e + d)*log(c)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) - 8*b^2*d*g^2*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 3)*log(x*e + d)*log(c)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(2/n)) + 1/2*b^2*d^2*g^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 3)*log(c)^2/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) - 1/2*(x*e + d)*b^2*f^2*n^2*e^5/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) - 2*(x*e + d)^2*a*b*f*g*n*e^4/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) + (x*e + d)*a*b*d*f*g*n*e^4/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) - 2*a*b*d*f*g*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 4)*log(x*e + d)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) - 8*a*b*d*g^2*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 3)*log(x*e + d)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(2/n)) - 1/2*(x*e + d)*b^2*f^2*n*e^5*log(c)/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) + a*b*d^2*g^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 3)*log(c)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) + b^2*f^2*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 5)*log(x*e + d)*log(c)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) + 8*b^2*f*g*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 4)*log(x*e + d)*log(c)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(2/n)) + 9*b^2*g^2*n*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 3)*log(x*e + d)*log(c)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(3/n)) - b^2*d*f*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 4)*log(c)^2/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) - 4*b^2*d*g^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 3)*log(c)^2/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(2/n)) - 1/2*(x*e + d)*a*b*f^2*n*e^5/(b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6) + 1/2*a^2*d^2*g^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 3)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) + a*b*f^2*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 5)*log(x*e + d)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) + 8*a*b*f*g*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 4)*log(x*e + d)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(2/n)) + 9*a*b*g^2*n*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 3)*log(x*e + d)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(3/n)) - 2*a*b*d*f*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 4)*log(c)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) - 8*a*b*d*g^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 3)*log(c)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(2/n)) + 1/2*b^2*f^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 5)*log(c)^2/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) + 4*b^2*f*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 4)*log(c)^2/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(2/n)) + 9/2*b^2*g^2*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 3)*log(c)^2/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(3/n)) - a^2*d*f*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 4)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) - 4*a^2*d*g^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 3)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(2/n)) + a*b*f^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 5)*log(c)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) + 8*a*b*f*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 4)*log(c)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(2/n)) + 9*a*b*g^2*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 3)*log(c)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(3/n)) + 1/2*a^2*f^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 5)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(1/n)) + 4*a^2*f*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 4)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(2/n)) + 9/2*a^2*g^2*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x*e + d))*e^(-3*a/(b*n) + 3)/((b^5*n^5*e^6*log(x*e + d)^2 + 2*b^5*n^4*e^6*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^6*log(x*e + d) + b^5*n^3*e^6*log(c)^2 + 2*a*b^4*n^3*e^6*log(c) + a^2*b^3*n^3*e^6)*c^(3/n))","B",0
101,1,4114,0,0.620579," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""giac"")","-\frac{{\left(x e + d\right)}^{2} b^{2} g n^{2} e \log\left(x e + d\right)}{b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}} + \frac{{\left(x e + d\right)} b^{2} d g n^{2} e \log\left(x e + d\right)}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)}} - \frac{b^{2} d g n^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 1\right)} \log\left(x e + d\right)^{2}}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)}^{2} b^{2} g n^{2} e}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)}} + \frac{{\left(x e + d\right)} b^{2} d g n^{2} e}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)}} - \frac{{\left(x e + d\right)} b^{2} f n^{2} e^{2} \log\left(x e + d\right)}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)}} + \frac{b^{2} f n^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 2\right)} \log\left(x e + d\right)^{2}}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{2 \, b^{2} g n^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 1\right)} \log\left(x e + d\right)^{2}}{{\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\frac{2}{n}}} - \frac{{\left(x e + d\right)}^{2} b^{2} g n e \log\left(c\right)}{b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}} + \frac{{\left(x e + d\right)} b^{2} d g n e \log\left(c\right)}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)}} - \frac{b^{2} d g n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 1\right)} \log\left(x e + d\right) \log\left(c\right)}{{\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} b^{2} f n^{2} e^{2}}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)}} - \frac{{\left(x e + d\right)}^{2} a b g n e}{b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}} + \frac{{\left(x e + d\right)} a b d g n e}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)}} - \frac{a b d g n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 1\right)} \log\left(x e + d\right)}{{\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} b^{2} f n e^{2} \log\left(c\right)}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)}} + \frac{b^{2} f n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 2\right)} \log\left(x e + d\right) \log\left(c\right)}{{\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{4 \, b^{2} g n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 1\right)} \log\left(x e + d\right) \log\left(c\right)}{{\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\frac{2}{n}}} - \frac{b^{2} d g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 1\right)} \log\left(c\right)^{2}}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} a b f n e^{2}}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)}} + \frac{a b f n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 2\right)} \log\left(x e + d\right)}{{\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{4 \, a b g n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 1\right)} \log\left(x e + d\right)}{{\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\frac{2}{n}}} - \frac{a b d g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 1\right)} \log\left(c\right)}{{\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{b^{2} f {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 2\right)} \log\left(c\right)^{2}}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{2 \, b^{2} g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 1\right)} \log\left(c\right)^{2}}{{\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\frac{2}{n}}} - \frac{a^{2} d g {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 1\right)}}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{a b f {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 2\right)} \log\left(c\right)}{{\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{4 \, a b g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 1\right)} \log\left(c\right)}{{\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\frac{2}{n}}} + \frac{a^{2} f {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n} + 2\right)}}{2 \, {\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{2 \, a^{2} g {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x e + d\right)\right) e^{\left(-\frac{2 \, a}{b n} + 1\right)}}{{\left(b^{5} n^{5} e^{3} \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e^{3} \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e^{3} \log\left(x e + d\right) + b^{5} n^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e^{3} \log\left(c\right) + a^{2} b^{3} n^{3} e^{3}\right)} c^{\frac{2}{n}}}"," ",0,"-(x*e + d)^2*b^2*g*n^2*e*log(x*e + d)/(b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3) + 1/2*(x*e + d)*b^2*d*g*n^2*e*log(x*e + d)/(b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3) - 1/2*b^2*d*g*n^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 1)*log(x*e + d)^2/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(1/n)) - 1/2*(x*e + d)^2*b^2*g*n^2*e/(b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3) + 1/2*(x*e + d)*b^2*d*g*n^2*e/(b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3) - 1/2*(x*e + d)*b^2*f*n^2*e^2*log(x*e + d)/(b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3) + 1/2*b^2*f*n^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 2)*log(x*e + d)^2/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(1/n)) + 2*b^2*g*n^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 1)*log(x*e + d)^2/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(2/n)) - (x*e + d)^2*b^2*g*n*e*log(c)/(b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3) + 1/2*(x*e + d)*b^2*d*g*n*e*log(c)/(b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3) - b^2*d*g*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 1)*log(x*e + d)*log(c)/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(1/n)) - 1/2*(x*e + d)*b^2*f*n^2*e^2/(b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3) - (x*e + d)^2*a*b*g*n*e/(b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3) + 1/2*(x*e + d)*a*b*d*g*n*e/(b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3) - a*b*d*g*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 1)*log(x*e + d)/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(1/n)) - 1/2*(x*e + d)*b^2*f*n*e^2*log(c)/(b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3) + b^2*f*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 2)*log(x*e + d)*log(c)/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(1/n)) + 4*b^2*g*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 1)*log(x*e + d)*log(c)/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(2/n)) - 1/2*b^2*d*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 1)*log(c)^2/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(1/n)) - 1/2*(x*e + d)*a*b*f*n*e^2/(b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3) + a*b*f*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 2)*log(x*e + d)/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(1/n)) + 4*a*b*g*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 1)*log(x*e + d)/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(2/n)) - a*b*d*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 1)*log(c)/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(1/n)) + 1/2*b^2*f*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 2)*log(c)^2/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(1/n)) + 2*b^2*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 1)*log(c)^2/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(2/n)) - 1/2*a^2*d*g*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 1)/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(1/n)) + a*b*f*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 2)*log(c)/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(1/n)) + 4*a*b*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 1)*log(c)/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(2/n)) + 1/2*a^2*f*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n) + 2)/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(1/n)) + 2*a^2*g*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x*e + d))*e^(-2*a/(b*n) + 1)/((b^5*n^5*e^3*log(x*e + d)^2 + 2*b^5*n^4*e^3*log(x*e + d)*log(c) + 2*a*b^4*n^4*e^3*log(x*e + d) + b^5*n^3*e^3*log(c)^2 + 2*a*b^4*n^3*e^3*log(c) + a^2*b^3*n^3*e^3)*c^(2/n))","B",0
102,1,1322,0,0.264785," ","integrate(1/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""giac"")","\frac{b^{2} n^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(x e + d\right)^{2}}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} b^{2} n^{2} \log\left(x e + d\right)}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)}} + \frac{b^{2} n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(x e + d\right) \log\left(c\right)}{{\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} b^{2} n^{2}}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)}} + \frac{a b n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(x e + d\right)}{{\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} b^{2} n \log\left(c\right)}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)}} + \frac{b^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(c\right)^{2}}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)} c^{\left(\frac{1}{n}\right)}} - \frac{{\left(x e + d\right)} a b n}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)}} + \frac{a b {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(c\right)}{{\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)} c^{\left(\frac{1}{n}\right)}} + \frac{a^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x e + d\right)\right) e^{\left(-\frac{a}{b n}\right)}}{2 \, {\left(b^{5} n^{5} e \log\left(x e + d\right)^{2} + 2 \, b^{5} n^{4} e \log\left(x e + d\right) \log\left(c\right) + 2 \, a b^{4} n^{4} e \log\left(x e + d\right) + b^{5} n^{3} e \log\left(c\right)^{2} + 2 \, a b^{4} n^{3} e \log\left(c\right) + a^{2} b^{3} n^{3} e\right)} c^{\left(\frac{1}{n}\right)}}"," ",0,"1/2*b^2*n^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(x*e + d)^2/((b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e)*c^(1/n)) - 1/2*(x*e + d)*b^2*n^2*log(x*e + d)/(b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e) + b^2*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(x*e + d)*log(c)/((b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e)*c^(1/n)) - 1/2*(x*e + d)*b^2*n^2/(b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e) + a*b*n*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(x*e + d)/((b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e)*c^(1/n)) - 1/2*(x*e + d)*b^2*n*log(c)/(b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e) + 1/2*b^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(c)^2/((b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e)*c^(1/n)) - 1/2*(x*e + d)*a*b*n/(b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e) + a*b*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))*log(c)/((b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e)*c^(1/n)) + 1/2*a^2*Ei(log(c)/n + a/(b*n) + log(x*e + d))*e^(-a/(b*n))/((b^5*n^5*e*log(x*e + d)^2 + 2*b^5*n^4*e*log(x*e + d)*log(c) + 2*a*b^4*n^4*e*log(x*e + d) + b^5*n^3*e*log(c)^2 + 2*a*b^4*n^3*e*log(c) + a^2*b^3*n^3*e)*c^(1/n))","B",0
103,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(b*log((e*x + d)^n*c) + a)^3), x)","F",0
104,0,0,0,0.000000," ","integrate(1/(g*x+f)^2/(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate(1/((g*x + f)^2*(b*log((e*x + d)^n*c) + a)^3), x)","F",0
105,0,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int {\left(g x + f\right)}^{2} \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate((g*x + f)^2*sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
106,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int {\left(g x + f\right)} \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate((g*x + f)*sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
107,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
108,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f),x, algorithm=""giac"")","\int \frac{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}{g x + f}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a)/(g*x + f), x)","F",0
109,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a)/(g*x + f)^2, x)","F",0
110,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f)^3,x, algorithm=""giac"")","\int \frac{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}{{\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a)/(g*x + f)^3, x)","F",0
111,0,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""giac"")","\int {\left(g x + f\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((g*x + f)^2*(b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
112,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""giac"")","\int {\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((g*x + f)*(b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
113,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
114,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(3/2)/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(3/2)/(g*x + f), x)","F",0
115,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(3/2)/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(3/2)/(g*x + f)^2, x)","F",0
116,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(3/2)/(g*x+f)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}{{\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(3/2)/(g*x + f)^3, x)","F",0
117,0,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""giac"")","\int {\left(g x + f\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((g*x + f)^2*(b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
118,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""giac"")","\int {\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((g*x + f)*(b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
119,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
120,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(5/2)/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(5/2)/(g*x + f), x)","F",0
121,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(5/2)/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(5/2)/(g*x + f)^2, x)","F",0
122,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(5/2)/(g*x+f)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}{{\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(5/2)/(g*x + f)^3, x)","F",0
123,0,0,0,0.000000," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{3}}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate((g*x + f)^3/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
124,0,0,0,0.000000," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{2}}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate((g*x + f)^2/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
125,0,0,0,0.000000," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \frac{g x + f}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate((g*x + f)/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
126,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
127,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate(1/((g*x + f)*sqrt(b*log((e*x + d)^n*c) + a)), x)","F",0
128,0,0,0,0.000000," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{3}}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)^3/(b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
129,0,0,0,0.000000," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{2}}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)^2/(b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
130,0,0,0,0.000000," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""giac"")","\int \frac{g x + f}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)/(b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
131,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(-3/2), x)","F",0
132,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(b*log((e*x + d)^n*c) + a)^(3/2)), x)","F",0
133,0,0,0,0.000000," ","integrate((g*x+f)^3/(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{3}}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((g*x + f)^3/(b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
134,0,0,0,0.000000," ","integrate((g*x+f)^2/(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{2}}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((g*x + f)^2/(b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
135,0,0,0,0.000000," ","integrate((g*x+f)/(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""giac"")","\int \frac{g x + f}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((g*x + f)/(b*log((e*x + d)^n*c) + a)^(5/2), x)","F",0
136,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(-5/2), x)","F",0
137,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(b*log((e*x + d)^n*c) + a)^(5/2)), x)","F",0
138,0,0,0,0.000000," ","integrate((g*x+f)^(3/2)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int {\left(g x + f\right)}^{\frac{3}{2}} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}\,{d x}"," ",0,"integrate((g*x + f)^(3/2)*(b*log((e*x + d)^n*c) + a), x)","F",0
139,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int \sqrt{g x + f} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(g*x + f)*(b*log((e*x + d)^n*c) + a), x)","F",0
140,1,110,0,0.190536," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(2 \, {\left(\frac{{\left(d g - f e\right)} \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right) e^{\left(-1\right)}}{\sqrt{d g e - f e^{2}}} - \sqrt{g x + f} e^{\left(-1\right)}\right)} e + \sqrt{g x + f} \log\left(x e + d\right)\right)} b n + \sqrt{g x + f} b \log\left(c\right) + \sqrt{g x + f} a\right)}}{g}"," ",0,"2*((2*((d*g - f*e)*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))*e^(-1)/sqrt(d*g*e - f*e^2) - sqrt(g*x + f)*e^(-1))*e + sqrt(g*x + f)*log(x*e + d))*b*n + sqrt(g*x + f)*b*log(c) + sqrt(g*x + f)*a)/g","A",0
141,1,92,0,0.222504," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(3/2),x, algorithm=""giac"")","\frac{4 \, b n \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right) e}{\sqrt{d g e - f e^{2}} g} - \frac{2 \, {\left(b n \log\left(d g + {\left(g x + f\right)} e - f e\right) - b n \log\left(g\right) + b \log\left(c\right) + a\right)}}{\sqrt{g x + f} g}"," ",0,"4*b*n*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))*e/(sqrt(d*g*e - f*e^2)*g) - 2*(b*n*log(d*g + (g*x + f)*e - f*e) - b*n*log(g) + b*log(c) + a)/(sqrt(g*x + f)*g)","A",0
142,1,188,0,0.255200," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(5/2),x, algorithm=""giac"")","-\frac{4 \, b n \arctan\left(\frac{\sqrt{g x + f} e}{\sqrt{d g e - f e^{2}}}\right) e^{2}}{3 \, {\left(d g^{2} - f g e\right)} \sqrt{d g e - f e^{2}}} - \frac{2 \, {\left(b d g n \log\left(d g + {\left(g x + f\right)} e - f e\right) - b f n e \log\left(d g + {\left(g x + f\right)} e - f e\right) - b d g n \log\left(g\right) + b f n e \log\left(g\right) + 2 \, {\left(g x + f\right)} b n e + b d g \log\left(c\right) - b f e \log\left(c\right) + a d g - a f e\right)}}{3 \, {\left({\left(g x + f\right)}^{\frac{3}{2}} d g^{2} - {\left(g x + f\right)}^{\frac{3}{2}} f g e\right)}}"," ",0,"-4/3*b*n*arctan(sqrt(g*x + f)*e/sqrt(d*g*e - f*e^2))*e^2/((d*g^2 - f*g*e)*sqrt(d*g*e - f*e^2)) - 2/3*(b*d*g*n*log(d*g + (g*x + f)*e - f*e) - b*f*n*e*log(d*g + (g*x + f)*e - f*e) - b*d*g*n*log(g) + b*f*n*e*log(g) + 2*(g*x + f)*b*n*e + b*d*g*log(c) - b*f*e*log(c) + a*d*g - a*f*e)/((g*x + f)^(3/2)*d*g^2 - (g*x + f)^(3/2)*f*g*e)","A",0
143,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(7/2),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x + f\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/(g*x + f)^(7/2), x)","F",0
144,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^(9/2),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x + f\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/(g*x + f)^(9/2), x)","F",0
145,0,0,0,0.000000," ","integrate((g*x+f)^(3/2)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\int {\left(g x + f\right)}^{\frac{3}{2}} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((g*x + f)^(3/2)*(b*log((e*x + d)^n*c) + a)^2, x)","F",0
146,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\int \sqrt{g x + f} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate(sqrt(g*x + f)*(b*log((e*x + d)^n*c) + a)^2, x)","F",0
147,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{\sqrt{g x + f}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/sqrt(g*x + f), x)","F",0
148,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/(g*x + f)^(3/2), x)","F",0
149,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/(g*x + f)^(5/2), x)","F",0
150,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x + f\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/(g*x + f)^(7/2), x)","F",0
151,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x + f\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/(g*x + f)^(9/2), x)","F",0
152,0,0,0,0.000000," ","integrate((g*x+f)^(3/2)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{\frac{3}{2}}}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate((g*x + f)^(3/2)/(b*log((e*x + d)^n*c) + a), x)","F",0
153,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int \frac{\sqrt{g x + f}}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/(b*log((e*x + d)^n*c) + a), x)","F",0
154,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(e*x+d)^n))/(g*x+f)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{g x + f} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(g*x + f)*(b*log((e*x + d)^n*c) + a)), x)","F",0
155,0,0,0,0.000000," ","integrate(1/(g*x+f)^(3/2)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)}^{\frac{3}{2}} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)^(3/2)*(b*log((e*x + d)^n*c) + a)), x)","F",0
156,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \sqrt{g x + f} \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(g*x + f)*sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
157,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}{\sqrt{g x + f}}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a)/sqrt(g*x + f), x)","F",0
158,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^(1/2)/(g*x+f)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}{{\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a)/(g*x + f)^(3/2), x)","F",0
159,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{g x + f}}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate(sqrt(g*x + f)/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
160,0,0,0,0.000000," ","integrate(1/(g*x+f)^(1/2)/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{g x + f} \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate(1/(sqrt(g*x + f)*sqrt(b*log((e*x + d)^n*c) + a)), x)","F",0
161,0,0,0,0.000000," ","integrate(1/(g*x+f)^(3/2)/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)}^{\frac{3}{2}} \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate(1/((g*x + f)^(3/2)*sqrt(b*log((e*x + d)^n*c) + a)), x)","F",0
162,0,0,0,0.000000," ","integrate((g*x+f)^m*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} {\left(g x + f\right)}^{m}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*(g*x + f)^m, x)","F",0
163,0,0,0,0.000000," ","integrate((g*x+f)^m/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{m}}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate((g*x + f)^m/(b*log((e*x + d)^n*c) + a), x)","F",0
164,0,0,0,0.000000," ","integrate((g*x+f)^m/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{m}}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((g*x + f)^m/(b*log((e*x + d)^n*c) + a)^2, x)","F",0
165,0,0,0,0.000000," ","integrate((g*x+f)^m*(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}} {\left(g x + f\right)}^{m}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^(3/2)*(g*x + f)^m, x)","F",0
166,0,0,0,0.000000," ","integrate((g*x+f)^m*(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a} {\left(g x + f\right)}^{m}\,{d x}"," ",0,"integrate(sqrt(b*log((e*x + d)^n*c) + a)*(g*x + f)^m, x)","F",0
167,0,0,0,0.000000," ","integrate((g*x+f)^m/(a+b*log(c*(e*x+d)^n))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{m}}{\sqrt{b \log\left({\left(e x + d\right)}^{n} c\right) + a}}\,{d x}"," ",0,"integrate((g*x + f)^m/sqrt(b*log((e*x + d)^n*c) + a), x)","F",0
168,0,0,0,0.000000," ","integrate((g*x+f)^m/(a+b*log(c*(e*x+d)^n))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{m}}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((g*x + f)^m/(b*log((e*x + d)^n*c) + a)^(3/2), x)","F",0
169,-2,0,0,0.000000," ","integrate((g*x+f)^m*(a+b*log(c*(e*x+d)^n))^n,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Simplification assuming d near 0Simplification assuming d near 0Simplification assuming d near 0Simplification assuming d near 0Simplification assuming d near 0Evaluation time: 0.67Unable to divide, perhaps due to rounding error%%%{1,[0,0,7,4,0,5,0,3,5,0,0,0]%%%}+%%%{5,[0,0,6,4,0,4,1,3,5,0,0,0]%%%}+%%%{2,[0,0,6,3,1,5,0,3,5,0,0,0]%%%}+%%%{10,[0,0,5,4,0,3,2,3,5,0,0,0]%%%}+%%%{10,[0,0,5,3,1,4,1,3,5,0,0,0]%%%}+%%%{1,[0,0,5,2,2,5,0,3,5,0,0,0]%%%}+%%%{10,[0,0,4,4,0,2,3,3,5,0,0,0]%%%}+%%%{20,[0,0,4,3,1,3,2,3,5,0,0,0]%%%}+%%%{5,[0,0,4,2,2,4,1,3,5,0,0,0]%%%}+%%%{5,[0,0,3,4,0,1,4,3,5,0,0,0]%%%}+%%%{20,[0,0,3,3,1,2,3,3,5,0,0,0]%%%}+%%%{10,[0,0,3,2,2,3,2,3,5,0,0,0]%%%}+%%%{1,[0,0,2,4,0,0,5,3,5,0,0,0]%%%}+%%%{10,[0,0,2,3,1,1,4,3,5,0,0,0]%%%}+%%%{10,[0,0,2,2,2,2,3,3,5,0,0,0]%%%}+%%%{2,[0,0,1,3,1,0,5,3,5,0,0,0]%%%}+%%%{5,[0,0,1,2,2,1,4,3,5,0,0,0]%%%}+%%%{1,[0,0,0,2,2,0,5,3,5,0,0,0]%%%} / %%%{1,[0,0,8,5,0,5,0,3,5,0,0,0]%%%}+%%%{5,[0,0,7,5,0,4,1,3,5,0,0,0]%%%}+%%%{3,[0,0,7,4,1,5,0,3,5,0,0,0]%%%}+%%%{10,[0,0,6,5,0,3,2,3,5,0,0,0]%%%}+%%%{15,[0,0,6,4,1,4,1,3,5,0,0,0]%%%}+%%%{3,[0,0,6,3,2,5,0,3,5,0,0,0]%%%}+%%%{10,[0,0,5,5,0,2,3,3,5,0,0,0]%%%}+%%%{30,[0,0,5,4,1,3,2,3,5,0,0,0]%%%}+%%%{15,[0,0,5,3,2,4,1,3,5,0,0,0]%%%}+%%%{1,[0,0,5,2,3,5,0,3,5,0,0,0]%%%}+%%%{5,[0,0,4,5,0,1,4,3,5,0,0,0]%%%}+%%%{30,[0,0,4,4,1,2,3,3,5,0,0,0]%%%}+%%%{30,[0,0,4,3,2,3,2,3,5,0,0,0]%%%}+%%%{5,[0,0,4,2,3,4,1,3,5,0,0,0]%%%}+%%%{1,[0,0,3,5,0,0,5,3,5,0,0,0]%%%}+%%%{15,[0,0,3,4,1,1,4,3,5,0,0,0]%%%}+%%%{30,[0,0,3,3,2,2,3,3,5,0,0,0]%%%}+%%%{10,[0,0,3,2,3,3,2,3,5,0,0,0]%%%}+%%%{3,[0,0,2,4,1,0,5,3,5,0,0,0]%%%}+%%%{15,[0,0,2,3,2,1,4,3,5,0,0,0]%%%}+%%%{10,[0,0,2,2,3,2,3,3,5,0,0,0]%%%}+%%%{3,[0,0,1,3,2,0,5,3,5,0,0,0]%%%}+%%%{5,[0,0,1,2,3,1,4,3,5,0,0,0]%%%}+%%%{1,[0,0,0,2,3,0,5,3,5,0,0,0]%%%} Error: Bad Argument Value","F(-2)",0
170,0,0,0,0.000000," ","integrate((g*x+f)^3*(a+b*log(c*(e*x+d)^n))^n,x, algorithm=""giac"")","\int {\left(g x + f\right)}^{3} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((g*x + f)^3*(b*log((e*x + d)^n*c) + a)^n, x)","F",0
171,0,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*log(c*(e*x+d)^n))^n,x, algorithm=""giac"")","\int {\left(g x + f\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((g*x + f)^2*(b*log((e*x + d)^n*c) + a)^n, x)","F",0
172,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*(e*x+d)^n))^n,x, algorithm=""giac"")","\int {\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((g*x + f)*(b*log((e*x + d)^n*c) + a)^n, x)","F",0
173,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^n,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^n, x)","F",0
174,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^n/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{n}}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^n/(g*x + f), x)","F",0
175,1,682,0,0.239554," ","integrate((i*x+h)^4*(a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""giac"")","\frac{576 \, b f^{4} h^{3} i x \log\left(c f x + c e\right) - 192 \, b f^{4} h i x^{3} \log\left(c f x + c e\right) + 72 \, b f^{4} h^{4} \log\left(c f x + c e\right)^{2} - 288 \, b f^{3} h^{3} i e \log\left(c f x + c e\right)^{2} + 576 \, a f^{4} h^{3} i x - 576 \, b f^{4} h^{3} i x - 192 \, a f^{4} h i x^{3} + 64 \, b f^{4} h i x^{3} - 432 \, b f^{4} h^{2} x^{2} \log\left(c f x + c e\right) + 36 \, b f^{4} x^{4} \log\left(c f x + c e\right) + 288 \, b f^{3} h i x^{2} e \log\left(c f x + c e\right) + 144 \, a f^{4} h^{4} \log\left(f x + e\right) - 576 \, a f^{3} h^{3} i e \log\left(f x + e\right) + 576 \, b f^{3} h^{3} i e \log\left(f x + e\right) - 432 \, a f^{4} h^{2} x^{2} + 216 \, b f^{4} h^{2} x^{2} + 36 \, a f^{4} x^{4} - 9 \, b f^{4} x^{4} + 288 \, a f^{3} h i x^{2} e - 240 \, b f^{3} h i x^{2} e + 864 \, b f^{3} h^{2} x e \log\left(c f x + c e\right) - 48 \, b f^{3} x^{3} e \log\left(c f x + c e\right) + 864 \, a f^{3} h^{2} x e - 1296 \, b f^{3} h^{2} x e - 48 \, a f^{3} x^{3} e + 28 \, b f^{3} x^{3} e - 576 \, b f^{2} h i x e^{2} \log\left(c f x + c e\right) - 432 \, b f^{2} h^{2} e^{2} \log\left(c f x + c e\right)^{2} - 576 \, a f^{2} h i x e^{2} + 1056 \, b f^{2} h i x e^{2} + 72 \, b f^{2} x^{2} e^{2} \log\left(c f x + c e\right) + 288 \, b f h i e^{3} \log\left(c f x + c e\right)^{2} - 864 \, a f^{2} h^{2} e^{2} \log\left(f x + e\right) + 1296 \, b f^{2} h^{2} e^{2} \log\left(f x + e\right) + 72 \, a f^{2} x^{2} e^{2} - 78 \, b f^{2} x^{2} e^{2} + 576 \, a f h i e^{3} \log\left(f x + e\right) - 1056 \, b f h i e^{3} \log\left(f x + e\right) - 144 \, b f x e^{3} \log\left(c f x + c e\right) - 144 \, a f x e^{3} + 300 \, b f x e^{3} + 72 \, b e^{4} \log\left(c f x + c e\right)^{2} + 144 \, a e^{4} \log\left(f x + e\right) - 300 \, b e^{4} \log\left(f x + e\right)}{144 \, d f^{5}}"," ",0,"1/144*(576*b*f^4*h^3*i*x*log(c*f*x + c*e) - 192*b*f^4*h*i*x^3*log(c*f*x + c*e) + 72*b*f^4*h^4*log(c*f*x + c*e)^2 - 288*b*f^3*h^3*i*e*log(c*f*x + c*e)^2 + 576*a*f^4*h^3*i*x - 576*b*f^4*h^3*i*x - 192*a*f^4*h*i*x^3 + 64*b*f^4*h*i*x^3 - 432*b*f^4*h^2*x^2*log(c*f*x + c*e) + 36*b*f^4*x^4*log(c*f*x + c*e) + 288*b*f^3*h*i*x^2*e*log(c*f*x + c*e) + 144*a*f^4*h^4*log(f*x + e) - 576*a*f^3*h^3*i*e*log(f*x + e) + 576*b*f^3*h^3*i*e*log(f*x + e) - 432*a*f^4*h^2*x^2 + 216*b*f^4*h^2*x^2 + 36*a*f^4*x^4 - 9*b*f^4*x^4 + 288*a*f^3*h*i*x^2*e - 240*b*f^3*h*i*x^2*e + 864*b*f^3*h^2*x*e*log(c*f*x + c*e) - 48*b*f^3*x^3*e*log(c*f*x + c*e) + 864*a*f^3*h^2*x*e - 1296*b*f^3*h^2*x*e - 48*a*f^3*x^3*e + 28*b*f^3*x^3*e - 576*b*f^2*h*i*x*e^2*log(c*f*x + c*e) - 432*b*f^2*h^2*e^2*log(c*f*x + c*e)^2 - 576*a*f^2*h*i*x*e^2 + 1056*b*f^2*h*i*x*e^2 + 72*b*f^2*x^2*e^2*log(c*f*x + c*e) + 288*b*f*h*i*e^3*log(c*f*x + c*e)^2 - 864*a*f^2*h^2*e^2*log(f*x + e) + 1296*b*f^2*h^2*e^2*log(f*x + e) + 72*a*f^2*x^2*e^2 - 78*b*f^2*x^2*e^2 + 576*a*f*h*i*e^3*log(f*x + e) - 1056*b*f*h*i*e^3*log(f*x + e) - 144*b*f*x*e^3*log(c*f*x + c*e) - 144*a*f*x*e^3 + 300*b*f*x*e^3 + 72*b*e^4*log(c*f*x + c*e)^2 + 144*a*e^4*log(f*x + e) - 300*b*e^4*log(f*x + e))/(d*f^5)","B",0
176,1,442,0,0.185561," ","integrate((i*x+h)^3*(a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""giac"")","\frac{108 \, b f^{3} h^{2} i x \log\left(c f x + c e\right) - 12 \, b f^{3} i x^{3} \log\left(c f x + c e\right) + 18 \, b f^{3} h^{3} \log\left(c f x + c e\right)^{2} - 54 \, b f^{2} h^{2} i e \log\left(c f x + c e\right)^{2} + 108 \, a f^{3} h^{2} i x - 108 \, b f^{3} h^{2} i x - 12 \, a f^{3} i x^{3} + 4 \, b f^{3} i x^{3} - 54 \, b f^{3} h x^{2} \log\left(c f x + c e\right) + 18 \, b f^{2} i x^{2} e \log\left(c f x + c e\right) + 36 \, a f^{3} h^{3} \log\left(f x + e\right) - 108 \, a f^{2} h^{2} i e \log\left(f x + e\right) + 108 \, b f^{2} h^{2} i e \log\left(f x + e\right) - 54 \, a f^{3} h x^{2} + 27 \, b f^{3} h x^{2} + 18 \, a f^{2} i x^{2} e - 15 \, b f^{2} i x^{2} e + 108 \, b f^{2} h x e \log\left(c f x + c e\right) + 108 \, a f^{2} h x e - 162 \, b f^{2} h x e - 36 \, b f i x e^{2} \log\left(c f x + c e\right) - 54 \, b f h e^{2} \log\left(c f x + c e\right)^{2} - 36 \, a f i x e^{2} + 66 \, b f i x e^{2} + 18 \, b i e^{3} \log\left(c f x + c e\right)^{2} - 108 \, a f h e^{2} \log\left(f x + e\right) + 162 \, b f h e^{2} \log\left(f x + e\right) + 36 \, a i e^{3} \log\left(f x + e\right) - 66 \, b i e^{3} \log\left(f x + e\right)}{36 \, d f^{4}}"," ",0,"1/36*(108*b*f^3*h^2*i*x*log(c*f*x + c*e) - 12*b*f^3*i*x^3*log(c*f*x + c*e) + 18*b*f^3*h^3*log(c*f*x + c*e)^2 - 54*b*f^2*h^2*i*e*log(c*f*x + c*e)^2 + 108*a*f^3*h^2*i*x - 108*b*f^3*h^2*i*x - 12*a*f^3*i*x^3 + 4*b*f^3*i*x^3 - 54*b*f^3*h*x^2*log(c*f*x + c*e) + 18*b*f^2*i*x^2*e*log(c*f*x + c*e) + 36*a*f^3*h^3*log(f*x + e) - 108*a*f^2*h^2*i*e*log(f*x + e) + 108*b*f^2*h^2*i*e*log(f*x + e) - 54*a*f^3*h*x^2 + 27*b*f^3*h*x^2 + 18*a*f^2*i*x^2*e - 15*b*f^2*i*x^2*e + 108*b*f^2*h*x*e*log(c*f*x + c*e) + 108*a*f^2*h*x*e - 162*b*f^2*h*x*e - 36*b*f*i*x*e^2*log(c*f*x + c*e) - 54*b*f*h*e^2*log(c*f*x + c*e)^2 - 36*a*f*i*x*e^2 + 66*b*f*i*x*e^2 + 18*b*i*e^3*log(c*f*x + c*e)^2 - 108*a*f*h*e^2*log(f*x + e) + 162*b*f*h*e^2*log(f*x + e) + 36*a*i*e^3*log(f*x + e) - 66*b*i*e^3*log(f*x + e))/(d*f^4)","A",0
177,1,241,0,0.175560," ","integrate((i*x+h)^2*(a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""giac"")","\frac{8 \, b f^{2} h i x \log\left(c f x + c e\right) + 2 \, b f^{2} h^{2} \log\left(c f x + c e\right)^{2} - 4 \, b f h i e \log\left(c f x + c e\right)^{2} + 8 \, a f^{2} h i x - 8 \, b f^{2} h i x - 2 \, b f^{2} x^{2} \log\left(c f x + c e\right) + 4 \, a f^{2} h^{2} \log\left(f x + e\right) - 8 \, a f h i e \log\left(f x + e\right) + 8 \, b f h i e \log\left(f x + e\right) - 2 \, a f^{2} x^{2} + b f^{2} x^{2} + 4 \, b f x e \log\left(c f x + c e\right) + 4 \, a f x e - 6 \, b f x e - 2 \, b e^{2} \log\left(c f x + c e\right)^{2} - 4 \, a e^{2} \log\left(f x + e\right) + 6 \, b e^{2} \log\left(f x + e\right)}{4 \, d f^{3}}"," ",0,"1/4*(8*b*f^2*h*i*x*log(c*f*x + c*e) + 2*b*f^2*h^2*log(c*f*x + c*e)^2 - 4*b*f*h*i*e*log(c*f*x + c*e)^2 + 8*a*f^2*h*i*x - 8*b*f^2*h*i*x - 2*b*f^2*x^2*log(c*f*x + c*e) + 4*a*f^2*h^2*log(f*x + e) - 8*a*f*h*i*e*log(f*x + e) + 8*b*f*h*i*e*log(f*x + e) - 2*a*f^2*x^2 + b*f^2*x^2 + 4*b*f*x*e*log(c*f*x + c*e) + 4*a*f*x*e - 6*b*f*x*e - 2*b*e^2*log(c*f*x + c*e)^2 - 4*a*e^2*log(f*x + e) + 6*b*e^2*log(f*x + e))/(d*f^3)","A",0
178,1,109,0,0.169947," ","integrate((i*x+h)*(a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""giac"")","\frac{2 \, b f i x \log\left(c f x + c e\right) + b f h \log\left(c f x + c e\right)^{2} - b i e \log\left(c f x + c e\right)^{2} + 2 \, a f i x - 2 \, b f i x + 2 \, a f h \log\left(f x + e\right) - 2 \, a i e \log\left(f x + e\right) + 2 \, b i e \log\left(f x + e\right)}{2 \, d f^{2}}"," ",0,"1/2*(2*b*f*i*x*log(c*f*x + c*e) + b*f*h*log(c*f*x + c*e)^2 - b*i*e*log(c*f*x + c*e)^2 + 2*a*f*i*x - 2*b*f*i*x + 2*a*f*h*log(f*x + e) - 2*a*i*e*log(f*x + e) + 2*b*i*e*log(f*x + e))/(d*f^2)","A",0
179,1,33,0,0.202345," ","integrate((a+b*log(c*(f*x+e)))/(d*f*x+d*e),x, algorithm=""giac"")","\frac{b \log\left(c f x + c e\right)^{2} + 2 \, a \log\left(f x + e\right)}{2 \, d f}"," ",0,"1/2*(b*log(c*f*x + c*e)^2 + 2*a*log(f*x + e))/(d*f)","A",0
180,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))/(d*f*x+d*e)/(i*x+h),x, algorithm=""giac"")","\int \frac{b \log\left({\left(f x + e\right)} c\right) + a}{{\left(d f x + d e\right)} {\left(i x + h\right)}}\,{d x}"," ",0,"integrate((b*log((f*x + e)*c) + a)/((d*f*x + d*e)*(i*x + h)), x)","F",0
181,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))/(d*f*x+d*e)/(i*x+h)^2,x, algorithm=""giac"")","\int \frac{b \log\left({\left(f x + e\right)} c\right) + a}{{\left(d f x + d e\right)} {\left(i x + h\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((f*x + e)*c) + a)/((d*f*x + d*e)*(i*x + h)^2), x)","F",0
182,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))/(d*f*x+d*e)/(i*x+h)^3,x, algorithm=""giac"")","\int \frac{b \log\left({\left(f x + e\right)} c\right) + a}{{\left(d f x + d e\right)} {\left(i x + h\right)}^{3}}\,{d x}"," ",0,"integrate((b*log((f*x + e)*c) + a)/((d*f*x + d*e)*(i*x + h)^3), x)","F",0
183,1,1624,0,0.251020," ","integrate((i*x+h)^4*(a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""giac"")","\frac{3456 \, b^{2} f^{4} h^{3} i x \log\left(c f x + c e\right)^{2} - 1152 \, b^{2} f^{4} h i x^{3} \log\left(c f x + c e\right)^{2} + 288 \, b^{2} f^{4} h^{4} \log\left(c f x + c e\right)^{3} - 1152 \, b^{2} f^{3} h^{3} i e \log\left(c f x + c e\right)^{3} + 6912 \, a b f^{4} h^{3} i x \log\left(c f x + c e\right) - 6912 \, b^{2} f^{4} h^{3} i x \log\left(c f x + c e\right) - 2304 \, a b f^{4} h i x^{3} \log\left(c f x + c e\right) + 768 \, b^{2} f^{4} h i x^{3} \log\left(c f x + c e\right) + 864 \, a b f^{4} h^{4} \log\left(c f x + c e\right)^{2} - 2592 \, b^{2} f^{4} h^{2} x^{2} \log\left(c f x + c e\right)^{2} + 216 \, b^{2} f^{4} x^{4} \log\left(c f x + c e\right)^{2} - 3456 \, a b f^{3} h^{3} i e \log\left(c f x + c e\right)^{2} + 3456 \, b^{2} f^{3} h^{3} i e \log\left(c f x + c e\right)^{2} + 1728 \, b^{2} f^{3} h i x^{2} e \log\left(c f x + c e\right)^{2} + 3456 \, a^{2} f^{4} h^{3} i x - 6912 \, a b f^{4} h^{3} i x + 6912 \, b^{2} f^{4} h^{3} i x - 1152 \, a^{2} f^{4} h i x^{3} + 768 \, a b f^{4} h i x^{3} - 256 \, b^{2} f^{4} h i x^{3} - 5184 \, a b f^{4} h^{2} x^{2} \log\left(c f x + c e\right) + 2592 \, b^{2} f^{4} h^{2} x^{2} \log\left(c f x + c e\right) + 432 \, a b f^{4} x^{4} \log\left(c f x + c e\right) - 108 \, b^{2} f^{4} x^{4} \log\left(c f x + c e\right) + 3456 \, a b f^{3} h i x^{2} e \log\left(c f x + c e\right) - 2880 \, b^{2} f^{3} h i x^{2} e \log\left(c f x + c e\right) + 5184 \, b^{2} f^{3} h^{2} x e \log\left(c f x + c e\right)^{2} - 288 \, b^{2} f^{3} x^{3} e \log\left(c f x + c e\right)^{2} + 864 \, a^{2} f^{4} h^{4} \log\left(f x + e\right) - 3456 \, a^{2} f^{3} h^{3} i e \log\left(f x + e\right) + 6912 \, a b f^{3} h^{3} i e \log\left(f x + e\right) - 6912 \, b^{2} f^{3} h^{3} i e \log\left(f x + e\right) - 2592 \, a^{2} f^{4} h^{2} x^{2} + 2592 \, a b f^{4} h^{2} x^{2} - 1296 \, b^{2} f^{4} h^{2} x^{2} + 216 \, a^{2} f^{4} x^{4} - 108 \, a b f^{4} x^{4} + 27 \, b^{2} f^{4} x^{4} + 1728 \, a^{2} f^{3} h i x^{2} e - 2880 \, a b f^{3} h i x^{2} e + 1824 \, b^{2} f^{3} h i x^{2} e + 10368 \, a b f^{3} h^{2} x e \log\left(c f x + c e\right) - 15552 \, b^{2} f^{3} h^{2} x e \log\left(c f x + c e\right) - 576 \, a b f^{3} x^{3} e \log\left(c f x + c e\right) + 336 \, b^{2} f^{3} x^{3} e \log\left(c f x + c e\right) - 3456 \, b^{2} f^{2} h i x e^{2} \log\left(c f x + c e\right)^{2} - 1728 \, b^{2} f^{2} h^{2} e^{2} \log\left(c f x + c e\right)^{3} + 5184 \, a^{2} f^{3} h^{2} x e - 15552 \, a b f^{3} h^{2} x e + 18144 \, b^{2} f^{3} h^{2} x e - 288 \, a^{2} f^{3} x^{3} e + 336 \, a b f^{3} x^{3} e - 148 \, b^{2} f^{3} x^{3} e - 6912 \, a b f^{2} h i x e^{2} \log\left(c f x + c e\right) + 12672 \, b^{2} f^{2} h i x e^{2} \log\left(c f x + c e\right) - 5184 \, a b f^{2} h^{2} e^{2} \log\left(c f x + c e\right)^{2} + 7776 \, b^{2} f^{2} h^{2} e^{2} \log\left(c f x + c e\right)^{2} + 432 \, b^{2} f^{2} x^{2} e^{2} \log\left(c f x + c e\right)^{2} + 1152 \, b^{2} f h i e^{3} \log\left(c f x + c e\right)^{3} - 3456 \, a^{2} f^{2} h i x e^{2} + 12672 \, a b f^{2} h i x e^{2} - 16320 \, b^{2} f^{2} h i x e^{2} + 864 \, a b f^{2} x^{2} e^{2} \log\left(c f x + c e\right) - 936 \, b^{2} f^{2} x^{2} e^{2} \log\left(c f x + c e\right) + 3456 \, a b f h i e^{3} \log\left(c f x + c e\right)^{2} - 6336 \, b^{2} f h i e^{3} \log\left(c f x + c e\right)^{2} - 5184 \, a^{2} f^{2} h^{2} e^{2} \log\left(f x + e\right) + 15552 \, a b f^{2} h^{2} e^{2} \log\left(f x + e\right) - 18144 \, b^{2} f^{2} h^{2} e^{2} \log\left(f x + e\right) + 432 \, a^{2} f^{2} x^{2} e^{2} - 936 \, a b f^{2} x^{2} e^{2} + 690 \, b^{2} f^{2} x^{2} e^{2} - 864 \, b^{2} f x e^{3} \log\left(c f x + c e\right)^{2} + 3456 \, a^{2} f h i e^{3} \log\left(f x + e\right) - 12672 \, a b f h i e^{3} \log\left(f x + e\right) + 16320 \, b^{2} f h i e^{3} \log\left(f x + e\right) - 1728 \, a b f x e^{3} \log\left(c f x + c e\right) + 3600 \, b^{2} f x e^{3} \log\left(c f x + c e\right) + 288 \, b^{2} e^{4} \log\left(c f x + c e\right)^{3} - 864 \, a^{2} f x e^{3} + 3600 \, a b f x e^{3} - 4980 \, b^{2} f x e^{3} + 864 \, a b e^{4} \log\left(c f x + c e\right)^{2} - 1800 \, b^{2} e^{4} \log\left(c f x + c e\right)^{2} + 864 \, a^{2} e^{4} \log\left(f x + e\right) - 3600 \, a b e^{4} \log\left(f x + e\right) + 4980 \, b^{2} e^{4} \log\left(f x + e\right)}{864 \, d f^{5}}"," ",0,"1/864*(3456*b^2*f^4*h^3*i*x*log(c*f*x + c*e)^2 - 1152*b^2*f^4*h*i*x^3*log(c*f*x + c*e)^2 + 288*b^2*f^4*h^4*log(c*f*x + c*e)^3 - 1152*b^2*f^3*h^3*i*e*log(c*f*x + c*e)^3 + 6912*a*b*f^4*h^3*i*x*log(c*f*x + c*e) - 6912*b^2*f^4*h^3*i*x*log(c*f*x + c*e) - 2304*a*b*f^4*h*i*x^3*log(c*f*x + c*e) + 768*b^2*f^4*h*i*x^3*log(c*f*x + c*e) + 864*a*b*f^4*h^4*log(c*f*x + c*e)^2 - 2592*b^2*f^4*h^2*x^2*log(c*f*x + c*e)^2 + 216*b^2*f^4*x^4*log(c*f*x + c*e)^2 - 3456*a*b*f^3*h^3*i*e*log(c*f*x + c*e)^2 + 3456*b^2*f^3*h^3*i*e*log(c*f*x + c*e)^2 + 1728*b^2*f^3*h*i*x^2*e*log(c*f*x + c*e)^2 + 3456*a^2*f^4*h^3*i*x - 6912*a*b*f^4*h^3*i*x + 6912*b^2*f^4*h^3*i*x - 1152*a^2*f^4*h*i*x^3 + 768*a*b*f^4*h*i*x^3 - 256*b^2*f^4*h*i*x^3 - 5184*a*b*f^4*h^2*x^2*log(c*f*x + c*e) + 2592*b^2*f^4*h^2*x^2*log(c*f*x + c*e) + 432*a*b*f^4*x^4*log(c*f*x + c*e) - 108*b^2*f^4*x^4*log(c*f*x + c*e) + 3456*a*b*f^3*h*i*x^2*e*log(c*f*x + c*e) - 2880*b^2*f^3*h*i*x^2*e*log(c*f*x + c*e) + 5184*b^2*f^3*h^2*x*e*log(c*f*x + c*e)^2 - 288*b^2*f^3*x^3*e*log(c*f*x + c*e)^2 + 864*a^2*f^4*h^4*log(f*x + e) - 3456*a^2*f^3*h^3*i*e*log(f*x + e) + 6912*a*b*f^3*h^3*i*e*log(f*x + e) - 6912*b^2*f^3*h^3*i*e*log(f*x + e) - 2592*a^2*f^4*h^2*x^2 + 2592*a*b*f^4*h^2*x^2 - 1296*b^2*f^4*h^2*x^2 + 216*a^2*f^4*x^4 - 108*a*b*f^4*x^4 + 27*b^2*f^4*x^4 + 1728*a^2*f^3*h*i*x^2*e - 2880*a*b*f^3*h*i*x^2*e + 1824*b^2*f^3*h*i*x^2*e + 10368*a*b*f^3*h^2*x*e*log(c*f*x + c*e) - 15552*b^2*f^3*h^2*x*e*log(c*f*x + c*e) - 576*a*b*f^3*x^3*e*log(c*f*x + c*e) + 336*b^2*f^3*x^3*e*log(c*f*x + c*e) - 3456*b^2*f^2*h*i*x*e^2*log(c*f*x + c*e)^2 - 1728*b^2*f^2*h^2*e^2*log(c*f*x + c*e)^3 + 5184*a^2*f^3*h^2*x*e - 15552*a*b*f^3*h^2*x*e + 18144*b^2*f^3*h^2*x*e - 288*a^2*f^3*x^3*e + 336*a*b*f^3*x^3*e - 148*b^2*f^3*x^3*e - 6912*a*b*f^2*h*i*x*e^2*log(c*f*x + c*e) + 12672*b^2*f^2*h*i*x*e^2*log(c*f*x + c*e) - 5184*a*b*f^2*h^2*e^2*log(c*f*x + c*e)^2 + 7776*b^2*f^2*h^2*e^2*log(c*f*x + c*e)^2 + 432*b^2*f^2*x^2*e^2*log(c*f*x + c*e)^2 + 1152*b^2*f*h*i*e^3*log(c*f*x + c*e)^3 - 3456*a^2*f^2*h*i*x*e^2 + 12672*a*b*f^2*h*i*x*e^2 - 16320*b^2*f^2*h*i*x*e^2 + 864*a*b*f^2*x^2*e^2*log(c*f*x + c*e) - 936*b^2*f^2*x^2*e^2*log(c*f*x + c*e) + 3456*a*b*f*h*i*e^3*log(c*f*x + c*e)^2 - 6336*b^2*f*h*i*e^3*log(c*f*x + c*e)^2 - 5184*a^2*f^2*h^2*e^2*log(f*x + e) + 15552*a*b*f^2*h^2*e^2*log(f*x + e) - 18144*b^2*f^2*h^2*e^2*log(f*x + e) + 432*a^2*f^2*x^2*e^2 - 936*a*b*f^2*x^2*e^2 + 690*b^2*f^2*x^2*e^2 - 864*b^2*f*x*e^3*log(c*f*x + c*e)^2 + 3456*a^2*f*h*i*e^3*log(f*x + e) - 12672*a*b*f*h*i*e^3*log(f*x + e) + 16320*b^2*f*h*i*e^3*log(f*x + e) - 1728*a*b*f*x*e^3*log(c*f*x + c*e) + 3600*b^2*f*x*e^3*log(c*f*x + c*e) + 288*b^2*e^4*log(c*f*x + c*e)^3 - 864*a^2*f*x*e^3 + 3600*a*b*f*x*e^3 - 4980*b^2*f*x*e^3 + 864*a*b*e^4*log(c*f*x + c*e)^2 - 1800*b^2*e^4*log(c*f*x + c*e)^2 + 864*a^2*e^4*log(f*x + e) - 3600*a*b*e^4*log(f*x + e) + 4980*b^2*e^4*log(f*x + e))/(d*f^5)","B",0
184,1,1041,0,0.261073," ","integrate((i*x+h)^3*(a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""giac"")","\frac{324 \, b^{2} f^{3} h^{2} i x \log\left(c f x + c e\right)^{2} - 36 \, b^{2} f^{3} i x^{3} \log\left(c f x + c e\right)^{2} + 36 \, b^{2} f^{3} h^{3} \log\left(c f x + c e\right)^{3} - 108 \, b^{2} f^{2} h^{2} i e \log\left(c f x + c e\right)^{3} + 648 \, a b f^{3} h^{2} i x \log\left(c f x + c e\right) - 648 \, b^{2} f^{3} h^{2} i x \log\left(c f x + c e\right) - 72 \, a b f^{3} i x^{3} \log\left(c f x + c e\right) + 24 \, b^{2} f^{3} i x^{3} \log\left(c f x + c e\right) + 108 \, a b f^{3} h^{3} \log\left(c f x + c e\right)^{2} - 162 \, b^{2} f^{3} h x^{2} \log\left(c f x + c e\right)^{2} - 324 \, a b f^{2} h^{2} i e \log\left(c f x + c e\right)^{2} + 324 \, b^{2} f^{2} h^{2} i e \log\left(c f x + c e\right)^{2} + 54 \, b^{2} f^{2} i x^{2} e \log\left(c f x + c e\right)^{2} + 324 \, a^{2} f^{3} h^{2} i x - 648 \, a b f^{3} h^{2} i x + 648 \, b^{2} f^{3} h^{2} i x - 36 \, a^{2} f^{3} i x^{3} + 24 \, a b f^{3} i x^{3} - 8 \, b^{2} f^{3} i x^{3} - 324 \, a b f^{3} h x^{2} \log\left(c f x + c e\right) + 162 \, b^{2} f^{3} h x^{2} \log\left(c f x + c e\right) + 108 \, a b f^{2} i x^{2} e \log\left(c f x + c e\right) - 90 \, b^{2} f^{2} i x^{2} e \log\left(c f x + c e\right) + 324 \, b^{2} f^{2} h x e \log\left(c f x + c e\right)^{2} + 108 \, a^{2} f^{3} h^{3} \log\left(f x + e\right) - 324 \, a^{2} f^{2} h^{2} i e \log\left(f x + e\right) + 648 \, a b f^{2} h^{2} i e \log\left(f x + e\right) - 648 \, b^{2} f^{2} h^{2} i e \log\left(f x + e\right) - 162 \, a^{2} f^{3} h x^{2} + 162 \, a b f^{3} h x^{2} - 81 \, b^{2} f^{3} h x^{2} + 54 \, a^{2} f^{2} i x^{2} e - 90 \, a b f^{2} i x^{2} e + 57 \, b^{2} f^{2} i x^{2} e + 648 \, a b f^{2} h x e \log\left(c f x + c e\right) - 972 \, b^{2} f^{2} h x e \log\left(c f x + c e\right) - 108 \, b^{2} f i x e^{2} \log\left(c f x + c e\right)^{2} - 108 \, b^{2} f h e^{2} \log\left(c f x + c e\right)^{3} + 324 \, a^{2} f^{2} h x e - 972 \, a b f^{2} h x e + 1134 \, b^{2} f^{2} h x e - 216 \, a b f i x e^{2} \log\left(c f x + c e\right) + 396 \, b^{2} f i x e^{2} \log\left(c f x + c e\right) - 324 \, a b f h e^{2} \log\left(c f x + c e\right)^{2} + 486 \, b^{2} f h e^{2} \log\left(c f x + c e\right)^{2} + 36 \, b^{2} i e^{3} \log\left(c f x + c e\right)^{3} - 108 \, a^{2} f i x e^{2} + 396 \, a b f i x e^{2} - 510 \, b^{2} f i x e^{2} + 108 \, a b i e^{3} \log\left(c f x + c e\right)^{2} - 198 \, b^{2} i e^{3} \log\left(c f x + c e\right)^{2} - 324 \, a^{2} f h e^{2} \log\left(f x + e\right) + 972 \, a b f h e^{2} \log\left(f x + e\right) - 1134 \, b^{2} f h e^{2} \log\left(f x + e\right) + 108 \, a^{2} i e^{3} \log\left(f x + e\right) - 396 \, a b i e^{3} \log\left(f x + e\right) + 510 \, b^{2} i e^{3} \log\left(f x + e\right)}{108 \, d f^{4}}"," ",0,"1/108*(324*b^2*f^3*h^2*i*x*log(c*f*x + c*e)^2 - 36*b^2*f^3*i*x^3*log(c*f*x + c*e)^2 + 36*b^2*f^3*h^3*log(c*f*x + c*e)^3 - 108*b^2*f^2*h^2*i*e*log(c*f*x + c*e)^3 + 648*a*b*f^3*h^2*i*x*log(c*f*x + c*e) - 648*b^2*f^3*h^2*i*x*log(c*f*x + c*e) - 72*a*b*f^3*i*x^3*log(c*f*x + c*e) + 24*b^2*f^3*i*x^3*log(c*f*x + c*e) + 108*a*b*f^3*h^3*log(c*f*x + c*e)^2 - 162*b^2*f^3*h*x^2*log(c*f*x + c*e)^2 - 324*a*b*f^2*h^2*i*e*log(c*f*x + c*e)^2 + 324*b^2*f^2*h^2*i*e*log(c*f*x + c*e)^2 + 54*b^2*f^2*i*x^2*e*log(c*f*x + c*e)^2 + 324*a^2*f^3*h^2*i*x - 648*a*b*f^3*h^2*i*x + 648*b^2*f^3*h^2*i*x - 36*a^2*f^3*i*x^3 + 24*a*b*f^3*i*x^3 - 8*b^2*f^3*i*x^3 - 324*a*b*f^3*h*x^2*log(c*f*x + c*e) + 162*b^2*f^3*h*x^2*log(c*f*x + c*e) + 108*a*b*f^2*i*x^2*e*log(c*f*x + c*e) - 90*b^2*f^2*i*x^2*e*log(c*f*x + c*e) + 324*b^2*f^2*h*x*e*log(c*f*x + c*e)^2 + 108*a^2*f^3*h^3*log(f*x + e) - 324*a^2*f^2*h^2*i*e*log(f*x + e) + 648*a*b*f^2*h^2*i*e*log(f*x + e) - 648*b^2*f^2*h^2*i*e*log(f*x + e) - 162*a^2*f^3*h*x^2 + 162*a*b*f^3*h*x^2 - 81*b^2*f^3*h*x^2 + 54*a^2*f^2*i*x^2*e - 90*a*b*f^2*i*x^2*e + 57*b^2*f^2*i*x^2*e + 648*a*b*f^2*h*x*e*log(c*f*x + c*e) - 972*b^2*f^2*h*x*e*log(c*f*x + c*e) - 108*b^2*f*i*x*e^2*log(c*f*x + c*e)^2 - 108*b^2*f*h*e^2*log(c*f*x + c*e)^3 + 324*a^2*f^2*h*x*e - 972*a*b*f^2*h*x*e + 1134*b^2*f^2*h*x*e - 216*a*b*f*i*x*e^2*log(c*f*x + c*e) + 396*b^2*f*i*x*e^2*log(c*f*x + c*e) - 324*a*b*f*h*e^2*log(c*f*x + c*e)^2 + 486*b^2*f*h*e^2*log(c*f*x + c*e)^2 + 36*b^2*i*e^3*log(c*f*x + c*e)^3 - 108*a^2*f*i*x*e^2 + 396*a*b*f*i*x*e^2 - 510*b^2*f*i*x*e^2 + 108*a*b*i*e^3*log(c*f*x + c*e)^2 - 198*b^2*i*e^3*log(c*f*x + c*e)^2 - 324*a^2*f*h*e^2*log(f*x + e) + 972*a*b*f*h*e^2*log(f*x + e) - 1134*b^2*f*h*e^2*log(f*x + e) + 108*a^2*i*e^3*log(f*x + e) - 396*a*b*i*e^3*log(f*x + e) + 510*b^2*i*e^3*log(f*x + e))/(d*f^4)","B",0
185,1,560,0,0.213095," ","integrate((i*x+h)^2*(a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""giac"")","\frac{24 \, b^{2} f^{2} h i x \log\left(c f x + c e\right)^{2} + 4 \, b^{2} f^{2} h^{2} \log\left(c f x + c e\right)^{3} - 8 \, b^{2} f h i e \log\left(c f x + c e\right)^{3} + 48 \, a b f^{2} h i x \log\left(c f x + c e\right) - 48 \, b^{2} f^{2} h i x \log\left(c f x + c e\right) + 12 \, a b f^{2} h^{2} \log\left(c f x + c e\right)^{2} - 6 \, b^{2} f^{2} x^{2} \log\left(c f x + c e\right)^{2} - 24 \, a b f h i e \log\left(c f x + c e\right)^{2} + 24 \, b^{2} f h i e \log\left(c f x + c e\right)^{2} + 24 \, a^{2} f^{2} h i x - 48 \, a b f^{2} h i x + 48 \, b^{2} f^{2} h i x - 12 \, a b f^{2} x^{2} \log\left(c f x + c e\right) + 6 \, b^{2} f^{2} x^{2} \log\left(c f x + c e\right) + 12 \, b^{2} f x e \log\left(c f x + c e\right)^{2} + 12 \, a^{2} f^{2} h^{2} \log\left(f x + e\right) - 24 \, a^{2} f h i e \log\left(f x + e\right) + 48 \, a b f h i e \log\left(f x + e\right) - 48 \, b^{2} f h i e \log\left(f x + e\right) - 6 \, a^{2} f^{2} x^{2} + 6 \, a b f^{2} x^{2} - 3 \, b^{2} f^{2} x^{2} + 24 \, a b f x e \log\left(c f x + c e\right) - 36 \, b^{2} f x e \log\left(c f x + c e\right) - 4 \, b^{2} e^{2} \log\left(c f x + c e\right)^{3} + 12 \, a^{2} f x e - 36 \, a b f x e + 42 \, b^{2} f x e - 12 \, a b e^{2} \log\left(c f x + c e\right)^{2} + 18 \, b^{2} e^{2} \log\left(c f x + c e\right)^{2} - 12 \, a^{2} e^{2} \log\left(f x + e\right) + 36 \, a b e^{2} \log\left(f x + e\right) - 42 \, b^{2} e^{2} \log\left(f x + e\right)}{12 \, d f^{3}}"," ",0,"1/12*(24*b^2*f^2*h*i*x*log(c*f*x + c*e)^2 + 4*b^2*f^2*h^2*log(c*f*x + c*e)^3 - 8*b^2*f*h*i*e*log(c*f*x + c*e)^3 + 48*a*b*f^2*h*i*x*log(c*f*x + c*e) - 48*b^2*f^2*h*i*x*log(c*f*x + c*e) + 12*a*b*f^2*h^2*log(c*f*x + c*e)^2 - 6*b^2*f^2*x^2*log(c*f*x + c*e)^2 - 24*a*b*f*h*i*e*log(c*f*x + c*e)^2 + 24*b^2*f*h*i*e*log(c*f*x + c*e)^2 + 24*a^2*f^2*h*i*x - 48*a*b*f^2*h*i*x + 48*b^2*f^2*h*i*x - 12*a*b*f^2*x^2*log(c*f*x + c*e) + 6*b^2*f^2*x^2*log(c*f*x + c*e) + 12*b^2*f*x*e*log(c*f*x + c*e)^2 + 12*a^2*f^2*h^2*log(f*x + e) - 24*a^2*f*h*i*e*log(f*x + e) + 48*a*b*f*h*i*e*log(f*x + e) - 48*b^2*f*h*i*e*log(f*x + e) - 6*a^2*f^2*x^2 + 6*a*b*f^2*x^2 - 3*b^2*f^2*x^2 + 24*a*b*f*x*e*log(c*f*x + c*e) - 36*b^2*f*x*e*log(c*f*x + c*e) - 4*b^2*e^2*log(c*f*x + c*e)^3 + 12*a^2*f*x*e - 36*a*b*f*x*e + 42*b^2*f*x*e - 12*a*b*e^2*log(c*f*x + c*e)^2 + 18*b^2*e^2*log(c*f*x + c*e)^2 - 12*a^2*e^2*log(f*x + e) + 36*a*b*e^2*log(f*x + e) - 42*b^2*e^2*log(f*x + e))/(d*f^3)","B",0
186,1,240,0,0.222928," ","integrate((i*x+h)*(a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""giac"")","\frac{3 \, b^{2} f i x \log\left(c f x + c e\right)^{2} + b^{2} f h \log\left(c f x + c e\right)^{3} - b^{2} i e \log\left(c f x + c e\right)^{3} + 6 \, a b f i x \log\left(c f x + c e\right) - 6 \, b^{2} f i x \log\left(c f x + c e\right) + 3 \, a b f h \log\left(c f x + c e\right)^{2} - 3 \, a b i e \log\left(c f x + c e\right)^{2} + 3 \, b^{2} i e \log\left(c f x + c e\right)^{2} + 3 \, a^{2} f i x - 6 \, a b f i x + 6 \, b^{2} f i x + 3 \, a^{2} f h \log\left(f x + e\right) - 3 \, a^{2} i e \log\left(f x + e\right) + 6 \, a b i e \log\left(f x + e\right) - 6 \, b^{2} i e \log\left(f x + e\right)}{3 \, d f^{2}}"," ",0,"1/3*(3*b^2*f*i*x*log(c*f*x + c*e)^2 + b^2*f*h*log(c*f*x + c*e)^3 - b^2*i*e*log(c*f*x + c*e)^3 + 6*a*b*f*i*x*log(c*f*x + c*e) - 6*b^2*f*i*x*log(c*f*x + c*e) + 3*a*b*f*h*log(c*f*x + c*e)^2 - 3*a*b*i*e*log(c*f*x + c*e)^2 + 3*b^2*i*e*log(c*f*x + c*e)^2 + 3*a^2*f*i*x - 6*a*b*f*i*x + 6*b^2*f*i*x + 3*a^2*f*h*log(f*x + e) - 3*a^2*i*e*log(f*x + e) + 6*a*b*i*e*log(f*x + e) - 6*b^2*i*e*log(f*x + e))/(d*f^2)","B",0
187,1,53,0,0.221580," ","integrate((a+b*log(c*(f*x+e)))^2/(d*f*x+d*e),x, algorithm=""giac"")","\frac{b^{2} \log\left(c f x + c e\right)^{3} + 3 \, a b \log\left(c f x + c e\right)^{2} + 3 \, a^{2} \log\left(f x + e\right)}{3 \, d f}"," ",0,"1/3*(b^2*log(c*f*x + c*e)^3 + 3*a*b*log(c*f*x + c*e)^2 + 3*a^2*log(f*x + e))/(d*f)","B",0
188,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))^2/(d*f*x+d*e)/(i*x+h),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}^{2}}{{\left(d f x + d e\right)} {\left(i x + h\right)}}\,{d x}"," ",0,"integrate((b*log((f*x + e)*c) + a)^2/((d*f*x + d*e)*(i*x + h)), x)","F",0
189,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))^2/(d*f*x+d*e)/(i*x+h)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}^{2}}{{\left(d f x + d e\right)} {\left(i x + h\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((f*x + e)*c) + a)^2/((d*f*x + d*e)*(i*x + h)^2), x)","F",0
190,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))^2/(d*f*x+d*e)/(i*x+h)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}^{2}}{{\left(d f x + d e\right)} {\left(i x + h\right)}^{3}}\,{d x}"," ",0,"integrate((b*log((f*x + e)*c) + a)^2/((d*f*x + d*e)*(i*x + h)^3), x)","F",0
191,0,0,0,0.000000," ","integrate((i*x+h)^4/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""giac"")","\int \frac{{\left(i x + h\right)}^{4}}{{\left(d f x + d e\right)} {\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}}\,{d x}"," ",0,"integrate((i*x + h)^4/((d*f*x + d*e)*(b*log((f*x + e)*c) + a)), x)","F",0
192,0,0,0,0.000000," ","integrate((i*x+h)^3/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""giac"")","\int \frac{{\left(i x + h\right)}^{3}}{{\left(d f x + d e\right)} {\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}}\,{d x}"," ",0,"integrate((i*x + h)^3/((d*f*x + d*e)*(b*log((f*x + e)*c) + a)), x)","F",0
193,0,0,0,0.000000," ","integrate((i*x+h)^2/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""giac"")","\int \frac{{\left(i x + h\right)}^{2}}{{\left(d f x + d e\right)} {\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}}\,{d x}"," ",0,"integrate((i*x + h)^2/((d*f*x + d*e)*(b*log((f*x + e)*c) + a)), x)","F",0
194,0,0,0,0.000000," ","integrate((i*x+h)/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""giac"")","\int \frac{i x + h}{{\left(d f x + d e\right)} {\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}}\,{d x}"," ",0,"integrate((i*x + h)/((d*f*x + d*e)*(b*log((f*x + e)*c) + a)), x)","F",0
195,1,25,0,0.180409," ","integrate(1/(d*f*x+d*e)/(a+b*log(c*(f*x+e))),x, algorithm=""giac"")","\frac{\log\left(b \log\left(c f x + c e\right) + a\right)}{b d f}"," ",0,"log(b*log(c*f*x + c*e) + a)/(b*d*f)","A",0
196,0,0,0,0.000000," ","integrate(1/(d*f*x+d*e)/(i*x+h)/(a+b*log(c*(f*x+e))),x, algorithm=""giac"")","\int \frac{1}{{\left(d f x + d e\right)} {\left(i x + h\right)} {\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*f*x + d*e)*(i*x + h)*(b*log((f*x + e)*c) + a)), x)","F",0
197,0,0,0,0.000000," ","integrate(1/(d*f*x+d*e)/(i*x+h)^2/(a+b*log(c*(f*x+e))),x, algorithm=""giac"")","\int \frac{1}{{\left(d f x + d e\right)} {\left(i x + h\right)}^{2} {\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*f*x + d*e)*(i*x + h)^2*(b*log((f*x + e)*c) + a)), x)","F",0
198,0,0,0,0.000000," ","integrate((g*x+f)^(5/2)*(a+b*log(c*(e*x+d)^n))/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{\frac{5}{2}} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}{e x + d}\,{d x}"," ",0,"integrate((g*x + f)^(5/2)*(b*log((e*x + d)^n*c) + a)/(e*x + d), x)","F",0
199,0,0,0,0.000000," ","integrate((g*x+f)^(3/2)*(a+b*log(c*(e*x+d)^n))/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{\frac{3}{2}} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}{e x + d}\,{d x}"," ",0,"integrate((g*x + f)^(3/2)*(b*log((e*x + d)^n*c) + a)/(e*x + d), x)","F",0
200,0,0,0,0.000000," ","integrate((g*x+f)^(1/2)*(a+b*log(c*(e*x+d)^n))/(e*x+d),x, algorithm=""giac"")","\int \frac{\sqrt{g x + f} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}{e x + d}\,{d x}"," ",0,"integrate(sqrt(g*x + f)*(b*log((e*x + d)^n*c) + a)/(e*x + d), x)","F",0
201,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(e*x+d)/(g*x+f)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(e x + d\right)} \sqrt{g x + f}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((e*x + d)*sqrt(g*x + f)), x)","F",0
202,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(e*x+d)/(g*x+f)^(3/2),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(e x + d\right)} {\left(g x + f\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((e*x + d)*(g*x + f)^(3/2)), x)","F",0
203,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(e*x+d)/(g*x+f)^(5/2),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(e x + d\right)} {\left(g x + f\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((e*x + d)*(g*x + f)^(5/2)), x)","F",0
204,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*log(b*x+a)/(b*x+a),x, algorithm=""giac"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} \log\left(b x + a\right)}{b x + a}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*log(b*x + a)/(b*x + a), x)","F",0
205,0,0,0,0.000000," ","integrate((e*x+d)^(1/2)*log(b*x+a)/(b*x+a),x, algorithm=""giac"")","\int \frac{\sqrt{e x + d} \log\left(b x + a\right)}{b x + a}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*log(b*x + a)/(b*x + a), x)","F",0
206,0,0,0,0.000000," ","integrate(log(b*x+a)/(b*x+a)/(e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{\log\left(b x + a\right)}{{\left(b x + a\right)} \sqrt{e x + d}}\,{d x}"," ",0,"integrate(log(b*x + a)/((b*x + a)*sqrt(e*x + d)), x)","F",0
207,0,0,0,0.000000," ","integrate(log(b*x+a)/(b*x+a)/(e*x+d)^(3/2),x, algorithm=""giac"")","\int \frac{\log\left(b x + a\right)}{{\left(b x + a\right)} {\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(log(b*x + a)/((b*x + a)*(e*x + d)^(3/2)), x)","F",0
208,0,0,0,0.000000," ","integrate(log(b*x+a)/(b*x+a)/(e*x+d)^(5/2),x, algorithm=""giac"")","\int \frac{\log\left(b x + a\right)}{{\left(b x + a\right)} {\left(e x + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(log(b*x + a)/((b*x + a)*(e*x + d)^(5/2)), x)","F",0
209,-2,0,0,0.000000," ","integrate((i*x+h)^q*(a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Simplification assuming c near 0Simplification assuming f near 0Simplification assuming t_nostep near 0Simplification assuming c near 0Simplification assuming f near 0Simplification assuming t_nostep near 0Simplification assuming c near 0Simplification assuming f near 0Simplification assuming t_nostep near 0Simplification assuming c near 0Simplification assuming f near 0Simplification assuming t_nostep near 0Simplification assuming c near 0Simplification assuming f near 0Simplification assuming x near 0Simplification assuming c near 0Simplification assuming f near 0Simplification assuming x near 0Evaluation time: 0.78Unable to divide, perhaps due to rounding error%%%{-i,[0,0,5,0,2,0,0,3,0,2,0]%%%}+%%%{-5,[0,0,4,0,2,0,1,3,0,2,0]%%%}+%%%{10*i,[0,0,3,0,2,0,2,3,0,2,0]%%%}+%%%{10,[0,0,2,0,2,0,3,3,0,2,0]%%%}+%%%{-5*i,[0,0,1,0,2,0,4,3,0,2,0]%%%}+%%%{-1,[0,0,0,0,2,0,5,3,0,2,0]%%%} / %%%{-i,[0,0,6,0,3,0,0,3,0,2,0]%%%}+%%%{-5,[0,0,5,0,3,0,1,3,0,2,0]%%%}+%%%{-i,[0,0,5,0,2,1,0,3,0,2,0]%%%}+%%%{10*i,[0,0,4,0,3,0,2,3,0,2,0]%%%}+%%%{-5,[0,0,4,0,2,1,1,3,0,2,0]%%%}+%%%{10,[0,0,3,0,3,0,3,3,0,2,0]%%%}+%%%{10*i,[0,0,3,0,2,1,2,3,0,2,0]%%%}+%%%{-5*i,[0,0,2,0,3,0,4,3,0,2,0]%%%}+%%%{10,[0,0,2,0,2,1,3,3,0,2,0]%%%}+%%%{-1,[0,0,1,0,3,0,5,3,0,2,0]%%%}+%%%{-5*i,[0,0,1,0,2,1,4,3,0,2,0]%%%}+%%%{-1,[0,0,0,0,2,1,5,3,0,2,0]%%%} Error: Bad Argument Value","F(-2)",0
210,0,0,0,0.000000," ","integrate((i*x+h)^3*(a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""giac"")","\int \frac{{\left(i x + h\right)}^{3} {\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}^{p}}{d f x + d e}\,{d x}"," ",0,"integrate((i*x + h)^3*(b*log((f*x + e)*c) + a)^p/(d*f*x + d*e), x)","F",0
211,0,0,0,0.000000," ","integrate((i*x+h)^2*(a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""giac"")","\int \frac{{\left(i x + h\right)}^{2} {\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}^{p}}{d f x + d e}\,{d x}"," ",0,"integrate((i*x + h)^2*(b*log((f*x + e)*c) + a)^p/(d*f*x + d*e), x)","F",0
212,0,0,0,0.000000," ","integrate((i*x+h)*(a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""giac"")","\int \frac{{\left(i x + h\right)} {\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}^{p}}{d f x + d e}\,{d x}"," ",0,"integrate((i*x + h)*(b*log((f*x + e)*c) + a)^p/(d*f*x + d*e), x)","F",0
213,1,31,0,0.197522," ","integrate((a+b*log(c*(f*x+e)))^p/(d*f*x+d*e),x, algorithm=""giac"")","\frac{{\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}^{p + 1}}{{\left(b p + b\right)} d f}"," ",0,"(b*log((f*x + e)*c) + a)^(p + 1)/((b*p + b)*d*f)","A",0
214,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))^p/(d*f*x+d*e)/(i*x+h),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}^{p}}{{\left(d f x + d e\right)} {\left(i x + h\right)}}\,{d x}"," ",0,"integrate((b*log((f*x + e)*c) + a)^p/((d*f*x + d*e)*(i*x + h)), x)","F",0
215,-2,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))^p/(d*f*x+d*e)/(i*x+h)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0,1,0,0,0,0]%%%} / %%%{1,[0,0,1,1,0,0]%%%}+%%%{i,[0,0,1,0,1,1]%%%} Error: Bad Argument Value","F(-2)",0
216,0,0,0,0.000000," ","integrate((a+b*log(c*(f*x+e)))^p/(d*f*x+d*e)/(i*x+h)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(f x + e\right)} c\right) + a\right)}^{p}}{{\left(d f x + d e\right)} {\left(i x + h\right)}^{3}}\,{d x}"," ",0,"integrate((b*log((f*x + e)*c) + a)^p/((d*f*x + d*e)*(i*x + h)^3), x)","F",0
217,0,0,0,0.000000," ","integrate((i*x+h)^3*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(i x + h\right)}^{3} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}{g x + f}\,{d x}"," ",0,"integrate((i*x + h)^3*(b*log((e*x + d)^n*c) + a)/(g*x + f), x)","F",0
218,0,0,0,0.000000," ","integrate((i*x+h)^2*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(i x + h\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}{g x + f}\,{d x}"," ",0,"integrate((i*x + h)^2*(b*log((e*x + d)^n*c) + a)/(g*x + f), x)","F",0
219,0,0,0,0.000000," ","integrate((i*x+h)*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(i x + h\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}{g x + f}\,{d x}"," ",0,"integrate((i*x + h)*(b*log((e*x + d)^n*c) + a)/(g*x + f), x)","F",0
220,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/(g*x + f), x)","F",0
221,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)/(i*x+h),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x + f\right)} {\left(i x + h\right)}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x + f)*(i*x + h)), x)","F",0
222,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)/(i*x+h)^2,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x + f\right)} {\left(i x + h\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x + f)*(i*x + h)^2), x)","F",0
223,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)/(i*x+h)^3,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x + f\right)} {\left(i x + h\right)}^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x + f)*(i*x + h)^3), x)","F",0
224,0,0,0,0.000000," ","integrate((i*x+h)^2*(a+b*log(c*(e*x+d)^n))^2/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(i x + h\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{g x + f}\,{d x}"," ",0,"integrate((i*x + h)^2*(b*log((e*x + d)^n*c) + a)^2/(g*x + f), x)","F",0
225,0,0,0,0.000000," ","integrate((i*x+h)*(a+b*log(c*(e*x+d)^n))^2/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(i x + h\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{g x + f}\,{d x}"," ",0,"integrate((i*x + h)*(b*log((e*x + d)^n*c) + a)^2/(g*x + f), x)","F",0
226,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/(g*x + f), x)","F",0
227,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)/(i*x+h),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x + f\right)} {\left(i x + h\right)}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/((g*x + f)*(i*x + h)), x)","F",0
228,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x+f)/(i*x+h)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x + f\right)} {\left(i x + h\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/((g*x + f)*(i*x + h)^2), x)","F",0
229,0,0,0,0.000000," ","integrate((i*x+h)^2*(a+b*log(c*(e*x+d)^n))^3/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(i x + h\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3}}{g x + f}\,{d x}"," ",0,"integrate((i*x + h)^2*(b*log((e*x + d)^n*c) + a)^3/(g*x + f), x)","F",0
230,0,0,0,0.000000," ","integrate((i*x+h)*(a+b*log(c*(e*x+d)^n))^3/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(i x + h\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3}}{g x + f}\,{d x}"," ",0,"integrate((i*x + h)*(b*log((e*x + d)^n*c) + a)^3/(g*x + f), x)","F",0
231,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3}}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^3/(g*x + f), x)","F",0
232,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)/(i*x+h),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3}}{{\left(g x + f\right)} {\left(i x + h\right)}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^3/((g*x + f)*(i*x + h)), x)","F",0
233,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3/(g*x+f)/(i*x+h)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3}}{{\left(g x + f\right)} {\left(i x + h\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^3/((g*x + f)*(i*x + h)^2), x)","F",0
234,0,0,0,0.000000," ","integrate((i*x+h)/(g*x+f)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int \frac{i x + h}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate((i*x + h)/((g*x + f)*(b*log((e*x + d)^n*c) + a)), x)","F",0
235,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(b*log((e*x + d)^n*c) + a)), x)","F",0
236,0,0,0,0.000000," ","integrate(1/(g*x+f)/(i*x+h)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(i x + h\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(i*x + h)*(b*log((e*x + d)^n*c) + a)), x)","F",0
237,0,0,0,0.000000," ","integrate(1/(g*x+f)/(i*x+h)^2/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(i x + h\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(i*x + h)^2*(b*log((e*x + d)^n*c) + a)), x)","F",0
238,0,0,0,0.000000," ","integrate((i*x+h)/(g*x+f)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\int \frac{i x + h}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((i*x + h)/((g*x + f)*(b*log((e*x + d)^n*c) + a)^2), x)","F",0
239,0,0,0,0.000000," ","integrate(1/(g*x+f)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(b*log((e*x + d)^n*c) + a)^2), x)","F",0
240,0,0,0,0.000000," ","integrate(1/(g*x+f)/(i*x+h)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(i x + h\right)} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(i*x + h)*(b*log((e*x + d)^n*c) + a)^2), x)","F",0
241,0,0,0,0.000000," ","integrate(1/(g*x+f)/(i*x+h)^2/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(i x + h\right)}^{2} {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(i*x + h)^2*(b*log((e*x + d)^n*c) + a)^2), x)","F",0
242,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{3}}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^3/(g*x + f), x)","F",0
243,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{2}}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^2/(g*x + f), x)","F",0
244,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x/(g*x + f), x)","F",0
245,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/(g*x + f), x)","F",0
246,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x/(g*x+f),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x + f\right)} x}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x + f)*x), x)","F",0
247,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^2/(g*x+f),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x + f\right)} x^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x + f)*x^2), x)","F",0
248,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^3/(g*x+f),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x + f\right)} x^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x + f)*x^3), x)","F",0
249,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{3}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^3/(g*x + f)^2, x)","F",0
250,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{2}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^2/(g*x + f)^2, x)","F",0
251,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x/(g*x + f)^2, x)","F",0
252,1,111,0,0.170341," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x+f)^2,x, algorithm=""giac"")","\frac{b g n x e \log\left(g x + f\right) - b g n x e \log\left(x e + d\right) + b f n e \log\left(g x + f\right) - b d g n \log\left(x e + d\right) - b d g \log\left(c\right) + b f e \log\left(c\right) - a d g + a f e}{d g^{3} x - f g^{2} x e + d f g^{2} - f^{2} g e}"," ",0,"(b*g*n*x*e*log(g*x + f) - b*g*n*x*e*log(x*e + d) + b*f*n*e*log(g*x + f) - b*d*g*n*log(x*e + d) - b*d*g*log(c) + b*f*e*log(c) - a*d*g + a*f*e)/(d*g^3*x - f*g^2*x*e + d*f*g^2 - f^2*g*e)","A",0
253,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x + f\right)}^{2} x}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x + f)^2*x), x)","F",0
254,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^2/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x + f\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x + f)^2*x^2), x)","F",0
255,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^3/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x + f\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x + f)^2*x^3), x)","F",0
256,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{5}}{g x^{2} + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^5/(g*x^2 + f), x)","F",0
257,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{3}}{g x^{2} + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^3/(g*x^2 + f), x)","F",0
258,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x}{g x^{2} + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x/(g*x^2 + f), x)","F",0
259,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x/(g*x^2+f),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x^{2} + f\right)} x}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x^2 + f)*x), x)","F",0
260,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^3/(g*x^2+f),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x^{2} + f\right)} x^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x^2 + f)*x^3), x)","F",0
261,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{4}}{g x^{2} + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^4/(g*x^2 + f), x)","F",0
262,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{2}}{g x^{2} + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^2/(g*x^2 + f), x)","F",0
263,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x^2+f),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{g x^{2} + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/(g*x^2 + f), x)","F",0
264,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^2/(g*x^2+f),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x^{2} + f\right)} x^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x^2 + f)*x^2), x)","F",0
265,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^4/(g*x^2+f),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x^{2} + f\right)} x^{4}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x^2 + f)*x^4), x)","F",0
266,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{5}}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^5/(g*x^2 + f)^2, x)","F",0
267,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{3}}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^3/(g*x^2 + f)^2, x)","F",0
268,1,218,0,0.231764," ","integrate(x*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""giac"")","\frac{b d n \arctan\left(\frac{g x}{\sqrt{f g}}\right) e}{2 \, {\left(d^{2} g + f e^{2}\right)} \sqrt{f g}} - \frac{b n e^{2} \log\left(g x^{2} + f\right)}{4 \, {\left(d^{2} g^{2} + f g e^{2}\right)}} + \frac{b g n x^{2} e^{2} \log\left(x e + d\right) - b d^{2} g n \log\left(x e + d\right) - 2 \, b d^{2} g \log\left(c\right) - 2 \, a d^{2} g - 2 \, b f e^{2} \log\left(c\right) - 2 \, a f e^{2}}{2 \, {\left(d^{2} g^{3} x^{2} + f g^{2} x^{2} e^{2} + d^{2} f g^{2} + f^{2} g e^{2}\right)}} - \frac{b d^{2} g \log\left(c\right) + a d^{2} g + b f e^{2} \log\left(c\right) + a f e^{2}}{2 \, {\left(d^{2} g + f e^{2}\right)} {\left(g x^{2} + f\right)} g}"," ",0,"1/2*b*d*n*arctan(g*x/sqrt(f*g))*e/((d^2*g + f*e^2)*sqrt(f*g)) - 1/4*b*n*e^2*log(g*x^2 + f)/(d^2*g^2 + f*g*e^2) + 1/2*(b*g*n*x^2*e^2*log(x*e + d) - b*d^2*g*n*log(x*e + d) - 2*b*d^2*g*log(c) - 2*a*d^2*g - 2*b*f*e^2*log(c) - 2*a*f*e^2)/(d^2*g^3*x^2 + f*g^2*x^2*e^2 + d^2*f*g^2 + f^2*g*e^2) - 1/2*(b*d^2*g*log(c) + a*d^2*g + b*f*e^2*log(c) + a*f*e^2)/((d^2*g + f*e^2)*(g*x^2 + f)*g)","A",0
269,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x^{2} + f\right)}^{2} x}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x^2 + f)^2*x), x)","F",0
270,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^3/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x^{2} + f\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x^2 + f)^2*x^3), x)","F",0
271,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{4}}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^4/(g*x^2 + f)^2, x)","F",0
272,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{2}}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^2/(g*x^2 + f)^2, x)","F",0
273,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/(g*x^2 + f)^2, x)","F",0
274,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/x^2/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(g x^{2} + f\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((g*x^2 + f)^2*x^2), x)","F",0
275,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x^2+2)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{\sqrt{g x^{2} + 2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/sqrt(g*x^2 + 2), x)","F",0
276,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(g*x^2+f)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{\sqrt{g x^{2} + f}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/sqrt(g*x^2 + f), x)","F",0
277,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(-g*x+2)^(1/2)/(g*x+2)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{\sqrt{g x + 2} \sqrt{-g x + 2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/(sqrt(g*x + 2)*sqrt(-g*x + 2)), x)","F",0
278,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(-g*x+f)^(1/2)/(g*x+f)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{\sqrt{g x + f} \sqrt{-g x + f}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/(sqrt(g*x + f)*sqrt(-g*x + f)), x)","F",0
279,0,0,0,0.000000," ","integrate(log(2*e/(f*x+e))/(-f^2*x^2+e^2),x, algorithm=""giac"")","\int -\frac{\log\left(\frac{2 \, e}{f x + e}\right)}{f^{2} x^{2} - e^{2}}\,{d x}"," ",0,"integrate(-log(2*e/(f*x + e))/(f^2*x^2 - e^2), x)","F",0
280,0,0,0,0.000000," ","integrate(log(e/(f*x+e))/(-f^2*x^2+e^2),x, algorithm=""giac"")","\int -\frac{\log\left(\frac{e}{f x + e}\right)}{f^{2} x^{2} - e^{2}}\,{d x}"," ",0,"integrate(-log(e/(f*x + e))/(f^2*x^2 - e^2), x)","F",0
281,0,0,0,0.000000," ","integrate((a+b*log(2*e/(f*x+e)))/(-f^2*x^2+e^2),x, algorithm=""giac"")","\int -\frac{b \log\left(\frac{2 \, e}{f x + e}\right) + a}{f^{2} x^{2} - e^{2}}\,{d x}"," ",0,"integrate(-(b*log(2*e/(f*x + e)) + a)/(f^2*x^2 - e^2), x)","F",0
282,0,0,0,0.000000," ","integrate((a+b*log(e/(f*x+e)))/(-f^2*x^2+e^2),x, algorithm=""giac"")","\int -\frac{b \log\left(\frac{e}{f x + e}\right) + a}{f^{2} x^{2} - e^{2}}\,{d x}"," ",0,"integrate(-(b*log(e/(f*x + e)) + a)/(f^2*x^2 - e^2), x)","F",0
283,0,0,0,0.000000," ","integrate(x^5*log(d*x+c)/(b*x^3+a),x, algorithm=""giac"")","\int \frac{x^{5} \log\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x^5*log(d*x + c)/(b*x^3 + a), x)","F",0
284,0,0,0,0.000000," ","integrate(x^2*log(d*x+c)/(b*x^3+a),x, algorithm=""giac"")","\int \frac{x^{2} \log\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x^2*log(d*x + c)/(b*x^3 + a), x)","F",0
285,0,0,0,0.000000," ","integrate(log(d*x+c)/x/(b*x^3+a),x, algorithm=""giac"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{3} + a\right)} x}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^3 + a)*x), x)","F",0
286,0,0,0,0.000000," ","integrate(log(d*x+c)/x^4/(b*x^3+a),x, algorithm=""giac"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{3} + a\right)} x^{4}}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^3 + a)*x^4), x)","F",0
287,0,0,0,0.000000," ","integrate(x^4*log(d*x+c)/(b*x^3+a),x, algorithm=""giac"")","\int \frac{x^{4} \log\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x^4*log(d*x + c)/(b*x^3 + a), x)","F",0
288,0,0,0,0.000000," ","integrate(x^3*log(d*x+c)/(b*x^3+a),x, algorithm=""giac"")","\int \frac{x^{3} \log\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x^3*log(d*x + c)/(b*x^3 + a), x)","F",0
289,0,0,0,0.000000," ","integrate(x*log(d*x+c)/(b*x^3+a),x, algorithm=""giac"")","\int \frac{x \log\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(x*log(d*x + c)/(b*x^3 + a), x)","F",0
290,0,0,0,0.000000," ","integrate(log(d*x+c)/(b*x^3+a),x, algorithm=""giac"")","\int \frac{\log\left(d x + c\right)}{b x^{3} + a}\,{d x}"," ",0,"integrate(log(d*x + c)/(b*x^3 + a), x)","F",0
291,0,0,0,0.000000," ","integrate(log(d*x+c)/x^2/(b*x^3+a),x, algorithm=""giac"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{3} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^3 + a)*x^2), x)","F",0
292,0,0,0,0.000000," ","integrate(log(d*x+c)/x^3/(b*x^3+a),x, algorithm=""giac"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{3} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^3 + a)*x^3), x)","F",0
293,0,0,0,0.000000," ","integrate(x^7*log(d*x+c)/(b*x^4+a),x, algorithm=""giac"")","\int \frac{x^{7} \log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(x^7*log(d*x + c)/(b*x^4 + a), x)","F",0
294,0,0,0,0.000000," ","integrate(x^3*log(d*x+c)/(b*x^4+a),x, algorithm=""giac"")","\int \frac{x^{3} \log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(x^3*log(d*x + c)/(b*x^4 + a), x)","F",0
295,0,0,0,0.000000," ","integrate(log(d*x+c)/x/(b*x^4+a),x, algorithm=""giac"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{4} + a\right)} x}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^4 + a)*x), x)","F",0
296,0,0,0,0.000000," ","integrate(x^5*log(d*x+c)/(b*x^4+a),x, algorithm=""giac"")","\int \frac{x^{5} \log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(x^5*log(d*x + c)/(b*x^4 + a), x)","F",0
297,0,0,0,0.000000," ","integrate(x*log(d*x+c)/(b*x^4+a),x, algorithm=""giac"")","\int \frac{x \log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(x*log(d*x + c)/(b*x^4 + a), x)","F",0
298,0,0,0,0.000000," ","integrate(log(d*x+c)/x^3/(b*x^4+a),x, algorithm=""giac"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{4} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^4 + a)*x^3), x)","F",0
299,0,0,0,0.000000," ","integrate(x^4*log(d*x+c)/(b*x^4+a),x, algorithm=""giac"")","\int \frac{x^{4} \log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(x^4*log(d*x + c)/(b*x^4 + a), x)","F",0
300,0,0,0,0.000000," ","integrate(x^2*log(d*x+c)/(b*x^4+a),x, algorithm=""giac"")","\int \frac{x^{2} \log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(x^2*log(d*x + c)/(b*x^4 + a), x)","F",0
301,0,0,0,0.000000," ","integrate(log(d*x+c)/(b*x^4+a),x, algorithm=""giac"")","\int \frac{\log\left(d x + c\right)}{b x^{4} + a}\,{d x}"," ",0,"integrate(log(d*x + c)/(b*x^4 + a), x)","F",0
302,0,0,0,0.000000," ","integrate(log(d*x+c)/x^2/(b*x^4+a),x, algorithm=""giac"")","\int \frac{\log\left(d x + c\right)}{{\left(b x^{4} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(log(d*x + c)/((b*x^4 + a)*x^2), x)","F",0
303,1,186,0,0.182090," ","integrate((f+g/x)*x*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\frac{1}{2} \, {\left(x e + d\right)}^{2} b f n e^{\left(-2\right)} \log\left(x e + d\right) - {\left(x e + d\right)} b d f n e^{\left(-2\right)} \log\left(x e + d\right) - \frac{1}{4} \, {\left(x e + d\right)}^{2} b f n e^{\left(-2\right)} + {\left(x e + d\right)} b d f n e^{\left(-2\right)} + {\left(x e + d\right)} b g n e^{\left(-1\right)} \log\left(x e + d\right) + \frac{1}{2} \, {\left(x e + d\right)}^{2} b f e^{\left(-2\right)} \log\left(c\right) - {\left(x e + d\right)} b d f e^{\left(-2\right)} \log\left(c\right) - {\left(x e + d\right)} b g n e^{\left(-1\right)} + \frac{1}{2} \, {\left(x e + d\right)}^{2} a f e^{\left(-2\right)} - {\left(x e + d\right)} a d f e^{\left(-2\right)} + {\left(x e + d\right)} b g e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a g e^{\left(-1\right)}"," ",0,"1/2*(x*e + d)^2*b*f*n*e^(-2)*log(x*e + d) - (x*e + d)*b*d*f*n*e^(-2)*log(x*e + d) - 1/4*(x*e + d)^2*b*f*n*e^(-2) + (x*e + d)*b*d*f*n*e^(-2) + (x*e + d)*b*g*n*e^(-1)*log(x*e + d) + 1/2*(x*e + d)^2*b*f*e^(-2)*log(c) - (x*e + d)*b*d*f*e^(-2)*log(c) - (x*e + d)*b*g*n*e^(-1) + 1/2*(x*e + d)^2*a*f*e^(-2) - (x*e + d)*a*d*f*e^(-2) + (x*e + d)*b*g*e^(-1)*log(c) + (x*e + d)*a*g*e^(-1)","B",0
304,1,430,0,0.200922," ","integrate((f+g/x)^2*x^2*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\frac{1}{3} \, {\left(x e + d\right)}^{3} b f^{2} n e^{\left(-3\right)} \log\left(x e + d\right) - {\left(x e + d\right)}^{2} b d f^{2} n e^{\left(-3\right)} \log\left(x e + d\right) + {\left(x e + d\right)} b d^{2} f^{2} n e^{\left(-3\right)} \log\left(x e + d\right) - \frac{1}{9} \, {\left(x e + d\right)}^{3} b f^{2} n e^{\left(-3\right)} + \frac{1}{2} \, {\left(x e + d\right)}^{2} b d f^{2} n e^{\left(-3\right)} - {\left(x e + d\right)} b d^{2} f^{2} n e^{\left(-3\right)} + {\left(x e + d\right)}^{2} b f g n e^{\left(-2\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)} b d f g n e^{\left(-2\right)} \log\left(x e + d\right) + \frac{1}{3} \, {\left(x e + d\right)}^{3} b f^{2} e^{\left(-3\right)} \log\left(c\right) - {\left(x e + d\right)}^{2} b d f^{2} e^{\left(-3\right)} \log\left(c\right) + {\left(x e + d\right)} b d^{2} f^{2} e^{\left(-3\right)} \log\left(c\right) - \frac{1}{2} \, {\left(x e + d\right)}^{2} b f g n e^{\left(-2\right)} + 2 \, {\left(x e + d\right)} b d f g n e^{\left(-2\right)} + \frac{1}{3} \, {\left(x e + d\right)}^{3} a f^{2} e^{\left(-3\right)} - {\left(x e + d\right)}^{2} a d f^{2} e^{\left(-3\right)} + {\left(x e + d\right)} a d^{2} f^{2} e^{\left(-3\right)} + {\left(x e + d\right)} b g^{2} n e^{\left(-1\right)} \log\left(x e + d\right) + {\left(x e + d\right)}^{2} b f g e^{\left(-2\right)} \log\left(c\right) - 2 \, {\left(x e + d\right)} b d f g e^{\left(-2\right)} \log\left(c\right) - {\left(x e + d\right)} b g^{2} n e^{\left(-1\right)} + {\left(x e + d\right)}^{2} a f g e^{\left(-2\right)} - 2 \, {\left(x e + d\right)} a d f g e^{\left(-2\right)} + {\left(x e + d\right)} b g^{2} e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a g^{2} e^{\left(-1\right)}"," ",0,"1/3*(x*e + d)^3*b*f^2*n*e^(-3)*log(x*e + d) - (x*e + d)^2*b*d*f^2*n*e^(-3)*log(x*e + d) + (x*e + d)*b*d^2*f^2*n*e^(-3)*log(x*e + d) - 1/9*(x*e + d)^3*b*f^2*n*e^(-3) + 1/2*(x*e + d)^2*b*d*f^2*n*e^(-3) - (x*e + d)*b*d^2*f^2*n*e^(-3) + (x*e + d)^2*b*f*g*n*e^(-2)*log(x*e + d) - 2*(x*e + d)*b*d*f*g*n*e^(-2)*log(x*e + d) + 1/3*(x*e + d)^3*b*f^2*e^(-3)*log(c) - (x*e + d)^2*b*d*f^2*e^(-3)*log(c) + (x*e + d)*b*d^2*f^2*e^(-3)*log(c) - 1/2*(x*e + d)^2*b*f*g*n*e^(-2) + 2*(x*e + d)*b*d*f*g*n*e^(-2) + 1/3*(x*e + d)^3*a*f^2*e^(-3) - (x*e + d)^2*a*d*f^2*e^(-3) + (x*e + d)*a*d^2*f^2*e^(-3) + (x*e + d)*b*g^2*n*e^(-1)*log(x*e + d) + (x*e + d)^2*b*f*g*e^(-2)*log(c) - 2*(x*e + d)*b*d*f*g*e^(-2)*log(c) - (x*e + d)*b*g^2*n*e^(-1) + (x*e + d)^2*a*f*g*e^(-2) - 2*(x*e + d)*a*d*f*g*e^(-2) + (x*e + d)*b*g^2*e^(-1)*log(c) + (x*e + d)*a*g^2*e^(-1)","B",0
305,1,780,0,0.282155," ","integrate((f+g/x)^3*x^3*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\frac{1}{4} \, {\left(x e + d\right)}^{4} b f^{3} n e^{\left(-4\right)} \log\left(x e + d\right) - {\left(x e + d\right)}^{3} b d f^{3} n e^{\left(-4\right)} \log\left(x e + d\right) + \frac{3}{2} \, {\left(x e + d\right)}^{2} b d^{2} f^{3} n e^{\left(-4\right)} \log\left(x e + d\right) - {\left(x e + d\right)} b d^{3} f^{3} n e^{\left(-4\right)} \log\left(x e + d\right) - \frac{1}{16} \, {\left(x e + d\right)}^{4} b f^{3} n e^{\left(-4\right)} + \frac{1}{3} \, {\left(x e + d\right)}^{3} b d f^{3} n e^{\left(-4\right)} - \frac{3}{4} \, {\left(x e + d\right)}^{2} b d^{2} f^{3} n e^{\left(-4\right)} + {\left(x e + d\right)} b d^{3} f^{3} n e^{\left(-4\right)} + {\left(x e + d\right)}^{3} b f^{2} g n e^{\left(-3\right)} \log\left(x e + d\right) - 3 \, {\left(x e + d\right)}^{2} b d f^{2} g n e^{\left(-3\right)} \log\left(x e + d\right) + 3 \, {\left(x e + d\right)} b d^{2} f^{2} g n e^{\left(-3\right)} \log\left(x e + d\right) + \frac{1}{4} \, {\left(x e + d\right)}^{4} b f^{3} e^{\left(-4\right)} \log\left(c\right) - {\left(x e + d\right)}^{3} b d f^{3} e^{\left(-4\right)} \log\left(c\right) + \frac{3}{2} \, {\left(x e + d\right)}^{2} b d^{2} f^{3} e^{\left(-4\right)} \log\left(c\right) - {\left(x e + d\right)} b d^{3} f^{3} e^{\left(-4\right)} \log\left(c\right) - \frac{1}{3} \, {\left(x e + d\right)}^{3} b f^{2} g n e^{\left(-3\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b d f^{2} g n e^{\left(-3\right)} - 3 \, {\left(x e + d\right)} b d^{2} f^{2} g n e^{\left(-3\right)} + \frac{1}{4} \, {\left(x e + d\right)}^{4} a f^{3} e^{\left(-4\right)} - {\left(x e + d\right)}^{3} a d f^{3} e^{\left(-4\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} a d^{2} f^{3} e^{\left(-4\right)} - {\left(x e + d\right)} a d^{3} f^{3} e^{\left(-4\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} b f g^{2} n e^{\left(-2\right)} \log\left(x e + d\right) - 3 \, {\left(x e + d\right)} b d f g^{2} n e^{\left(-2\right)} \log\left(x e + d\right) + {\left(x e + d\right)}^{3} b f^{2} g e^{\left(-3\right)} \log\left(c\right) - 3 \, {\left(x e + d\right)}^{2} b d f^{2} g e^{\left(-3\right)} \log\left(c\right) + 3 \, {\left(x e + d\right)} b d^{2} f^{2} g e^{\left(-3\right)} \log\left(c\right) - \frac{3}{4} \, {\left(x e + d\right)}^{2} b f g^{2} n e^{\left(-2\right)} + 3 \, {\left(x e + d\right)} b d f g^{2} n e^{\left(-2\right)} + {\left(x e + d\right)}^{3} a f^{2} g e^{\left(-3\right)} - 3 \, {\left(x e + d\right)}^{2} a d f^{2} g e^{\left(-3\right)} + 3 \, {\left(x e + d\right)} a d^{2} f^{2} g e^{\left(-3\right)} + {\left(x e + d\right)} b g^{3} n e^{\left(-1\right)} \log\left(x e + d\right) + \frac{3}{2} \, {\left(x e + d\right)}^{2} b f g^{2} e^{\left(-2\right)} \log\left(c\right) - 3 \, {\left(x e + d\right)} b d f g^{2} e^{\left(-2\right)} \log\left(c\right) - {\left(x e + d\right)} b g^{3} n e^{\left(-1\right)} + \frac{3}{2} \, {\left(x e + d\right)}^{2} a f g^{2} e^{\left(-2\right)} - 3 \, {\left(x e + d\right)} a d f g^{2} e^{\left(-2\right)} + {\left(x e + d\right)} b g^{3} e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a g^{3} e^{\left(-1\right)}"," ",0,"1/4*(x*e + d)^4*b*f^3*n*e^(-4)*log(x*e + d) - (x*e + d)^3*b*d*f^3*n*e^(-4)*log(x*e + d) + 3/2*(x*e + d)^2*b*d^2*f^3*n*e^(-4)*log(x*e + d) - (x*e + d)*b*d^3*f^3*n*e^(-4)*log(x*e + d) - 1/16*(x*e + d)^4*b*f^3*n*e^(-4) + 1/3*(x*e + d)^3*b*d*f^3*n*e^(-4) - 3/4*(x*e + d)^2*b*d^2*f^3*n*e^(-4) + (x*e + d)*b*d^3*f^3*n*e^(-4) + (x*e + d)^3*b*f^2*g*n*e^(-3)*log(x*e + d) - 3*(x*e + d)^2*b*d*f^2*g*n*e^(-3)*log(x*e + d) + 3*(x*e + d)*b*d^2*f^2*g*n*e^(-3)*log(x*e + d) + 1/4*(x*e + d)^4*b*f^3*e^(-4)*log(c) - (x*e + d)^3*b*d*f^3*e^(-4)*log(c) + 3/2*(x*e + d)^2*b*d^2*f^3*e^(-4)*log(c) - (x*e + d)*b*d^3*f^3*e^(-4)*log(c) - 1/3*(x*e + d)^3*b*f^2*g*n*e^(-3) + 3/2*(x*e + d)^2*b*d*f^2*g*n*e^(-3) - 3*(x*e + d)*b*d^2*f^2*g*n*e^(-3) + 1/4*(x*e + d)^4*a*f^3*e^(-4) - (x*e + d)^3*a*d*f^3*e^(-4) + 3/2*(x*e + d)^2*a*d^2*f^3*e^(-4) - (x*e + d)*a*d^3*f^3*e^(-4) + 3/2*(x*e + d)^2*b*f*g^2*n*e^(-2)*log(x*e + d) - 3*(x*e + d)*b*d*f*g^2*n*e^(-2)*log(x*e + d) + (x*e + d)^3*b*f^2*g*e^(-3)*log(c) - 3*(x*e + d)^2*b*d*f^2*g*e^(-3)*log(c) + 3*(x*e + d)*b*d^2*f^2*g*e^(-3)*log(c) - 3/4*(x*e + d)^2*b*f*g^2*n*e^(-2) + 3*(x*e + d)*b*d*f*g^2*n*e^(-2) + (x*e + d)^3*a*f^2*g*e^(-3) - 3*(x*e + d)^2*a*d*f^2*g*e^(-3) + 3*(x*e + d)*a*d^2*f^2*g*e^(-3) + (x*e + d)*b*g^3*n*e^(-1)*log(x*e + d) + 3/2*(x*e + d)^2*b*f*g^2*e^(-2)*log(c) - 3*(x*e + d)*b*d*f*g^2*e^(-2)*log(c) - (x*e + d)*b*g^3*n*e^(-1) + 3/2*(x*e + d)^2*a*f*g^2*e^(-2) - 3*(x*e + d)*a*d*f*g^2*e^(-2) + (x*e + d)*b*g^3*e^(-1)*log(c) + (x*e + d)*a*g^3*e^(-1)","B",0
306,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))/(f+g/x)/x,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x + d\right)}^{n} c\right) + a}{{\left(f + \frac{g}{x}\right)} x}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)/((f + g/x)*x), x)","F",0
307,1,111,0,0.183719," ","integrate((a+b*log(c*(e*x+d)^n))/(f+g/x)^2/x^2,x, algorithm=""giac"")","\frac{b f n x e \log\left(f x + g\right) - b f n x e \log\left(x e + d\right) + b g n e \log\left(f x + g\right) - b d f n \log\left(x e + d\right) - b d f \log\left(c\right) + b g e \log\left(c\right) - a d f + a g e}{d f^{3} x - f^{2} g x e + d f^{2} g - f g^{2} e}"," ",0,"(b*f*n*x*e*log(f*x + g) - b*f*n*x*e*log(x*e + d) + b*g*n*e*log(f*x + g) - b*d*f*n*log(x*e + d) - b*d*f*log(c) + b*g*e*log(c) - a*d*f + a*g*e)/(d*f^3*x - f^2*g*x*e + d*f^2*g - f*g^2*e)","A",0
308,1,302,0,0.188318," ","integrate((a+b*log(c*(e*x+d)^n))/(f+g/x)^3/x^3,x, algorithm=""giac"")","-\frac{b f^{2} n x^{2} e^{2} \log\left(f x + g\right) - b f^{2} n x^{2} e^{2} \log\left(x e + d\right) + b d f^{2} n x e + 2 \, b f g n x e^{2} \log\left(f x + g\right) + b d^{2} f^{2} n \log\left(x e + d\right) - 2 \, b f g n x e^{2} \log\left(x e + d\right) - 2 \, b d f g n e \log\left(x e + d\right) - b f g n x e^{2} + b d f g n e + b g^{2} n e^{2} \log\left(f x + g\right) + b d^{2} f^{2} \log\left(c\right) - 2 \, b d f g e \log\left(c\right) + a d^{2} f^{2} - b g^{2} n e^{2} - 2 \, a d f g e + b g^{2} e^{2} \log\left(c\right) + a g^{2} e^{2}}{2 \, {\left(d^{2} f^{5} x^{2} - 2 \, d f^{4} g x^{2} e + 2 \, d^{2} f^{4} g x + f^{3} g^{2} x^{2} e^{2} - 4 \, d f^{3} g^{2} x e + d^{2} f^{3} g^{2} + 2 \, f^{2} g^{3} x e^{2} - 2 \, d f^{2} g^{3} e + f g^{4} e^{2}\right)}}"," ",0,"-1/2*(b*f^2*n*x^2*e^2*log(f*x + g) - b*f^2*n*x^2*e^2*log(x*e + d) + b*d*f^2*n*x*e + 2*b*f*g*n*x*e^2*log(f*x + g) + b*d^2*f^2*n*log(x*e + d) - 2*b*f*g*n*x*e^2*log(x*e + d) - 2*b*d*f*g*n*e*log(x*e + d) - b*f*g*n*x*e^2 + b*d*f*g*n*e + b*g^2*n*e^2*log(f*x + g) + b*d^2*f^2*log(c) - 2*b*d*f*g*e*log(c) + a*d^2*f^2 - b*g^2*n*e^2 - 2*a*d*f*g*e + b*g^2*e^2*log(c) + a*g^2*e^2)/(d^2*f^5*x^2 - 2*d*f^4*g*x^2*e + 2*d^2*f^4*g*x + f^3*g^2*x^2*e^2 - 4*d*f^3*g^2*x*e + d^2*f^3*g^2 + 2*f^2*g^3*x*e^2 - 2*d*f^2*g^3*e + f*g^4*e^2)","B",0
309,0,0,0,0.000000," ","integrate(log(b*x+a)/(c+d/x^2),x, algorithm=""giac"")","\int \frac{\log\left(b x + a\right)}{c + \frac{d}{x^{2}}}\,{d x}"," ",0,"integrate(log(b*x + a)/(c + d/x^2), x)","F",0
310,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} x^{5}}{g x^{2} + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*x^5/(g*x^2 + f), x)","F",0
311,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} x^{3}}{g x^{2} + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*x^3/(g*x^2 + f), x)","F",0
312,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} x}{g x^{2} + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*x/(g*x^2 + f), x)","F",0
313,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x^{2} + f\right)} x}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/((g*x^2 + f)*x), x)","F",0
314,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^3/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x^{2} + f\right)} x^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/((g*x^2 + f)*x^3), x)","F",0
315,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} x^{4}}{g x^{2} + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*x^4/(g*x^2 + f), x)","F",0
316,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} x^{2}}{g x^{2} + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*x^2/(g*x^2 + f), x)","F",0
317,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{g x^{2} + f}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/(g*x^2 + f), x)","F",0
318,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^2/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x^{2} + f\right)} x^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/((g*x^2 + f)*x^2), x)","F",0
319,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^4/(g*x^2+f),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x^{2} + f\right)} x^{4}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/((g*x^2 + f)*x^4), x)","F",0
320,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} x^{5}}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*x^5/(g*x^2 + f)^2, x)","F",0
321,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} x^{3}}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*x^3/(g*x^2 + f)^2, x)","F",0
322,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} x}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*x/(g*x^2 + f)^2, x)","F",0
323,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x^{2} + f\right)}^{2} x}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/((g*x^2 + f)^2*x), x)","F",0
324,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^3/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x^{2} + f\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/((g*x^2 + f)^2*x^3), x)","F",0
325,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} x^{4}}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*x^4/(g*x^2 + f)^2, x)","F",0
326,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} x^{2}}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*x^2/(g*x^2 + f)^2, x)","F",0
327,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/(g*x^2 + f)^2, x)","F",0
328,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2/x^2/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}{{\left(g x^{2} + f\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2/((g*x^2 + f)^2*x^2), x)","F",0
329,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)^3/(e*x^2+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)^{3}}{e x^{2} + d}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)^3/(e*x^2 + d), x)","F",0
330,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)^2/(e*x^2+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)^{2}}{e x^{2} + d}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)^2/(e*x^2 + d), x)","F",0
331,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)/(e*x^2+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)}{e x^{2} + d}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)/(e*x^2 + d), x)","F",0
332,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/log(c*(b*x+a)^n),x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{2} + d\right)} \log\left({\left(b x + a\right)}^{n} c\right)}\,{d x}"," ",0,"integrate(1/((e*x^2 + d)*log((b*x + a)^n*c)), x)","F",0
333,0,0,0,0.000000," ","integrate(log(c-a*(1-c)/b/(x^m))/x/(a+b*x^m),x, algorithm=""giac"")","\int \frac{\log\left(c + \frac{a {\left(c - 1\right)}}{b x^{m}}\right)}{{\left(b x^{m} + a\right)} x}\,{d x}"," ",0,"integrate(log(c + a*(c - 1)/(b*x^m))/((b*x^m + a)*x), x)","F",0
334,0,0,0,0.000000," ","integrate(log((-a+a*c+b*c*x^m)/b/(x^m))/x/(a+b*x^m),x, algorithm=""giac"")","\int \frac{\log\left(\frac{b c x^{m} + a c - a}{b x^{m}}\right)}{{\left(b x^{m} + a\right)} x}\,{d x}"," ",0,"integrate(log((b*c*x^m + a*c - a)/(b*x^m))/((b*x^m + a)*x), x)","F",0
335,0,0,0,0.000000," ","integrate(log(c*(a+(a*c*d-d)/c/e/(x^m)))/x/(d+e*x^m),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{a c d - d}{c e x^{m}}\right)} c\right)}{{\left(e x^{m} + d\right)} x}\,{d x}"," ",0,"integrate(log((a + (a*c*d - d)/(c*e*x^m))*c)/((e*x^m + d)*x), x)","F",0
336,0,0,0,0.000000," ","integrate(log((-d+a*c*d+a*c*e*x^m)/e/(x^m))/x/(d+e*x^m),x, algorithm=""giac"")","\int \frac{\log\left(\frac{a c e x^{m} + a c d - d}{e x^{m}}\right)}{{\left(e x^{m} + d\right)} x}\,{d x}"," ",0,"integrate(log((a*c*e*x^m + a*c*d - d)/(e*x^m))/((e*x^m + d)*x), x)","F",0
337,0,0,0,0.000000," ","integrate(log(2*a/(b*x+a))/(-b^2*x^2+a^2),x, algorithm=""giac"")","\int -\frac{\log\left(\frac{2 \, a}{b x + a}\right)}{b^{2} x^{2} - a^{2}}\,{d x}"," ",0,"integrate(-log(2*a/(b*x + a))/(b^2*x^2 - a^2), x)","F",0
338,0,0,0,0.000000," ","integrate(log(2*a/(b*x+a))/(-b*x+a)/(b*x+a),x, algorithm=""giac"")","\int -\frac{\log\left(\frac{2 \, a}{b x + a}\right)}{{\left(b x + a\right)} {\left(b x - a\right)}}\,{d x}"," ",0,"integrate(-log(2*a/(b*x + a))/((b*x + a)*(b*x - a)), x)","F",0
339,-1,0,0,0.000000," ","integrate(log((a*(1-c)+b*(1+c)*x)/(b*x+a))/(-b^2*x^2+a^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
340,-1,0,0,0.000000," ","integrate(log((a*(1-c)+b*(1+c)*x)/(b*x+a))/(-b*x+a)/(b*x+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
341,-1,0,0,0.000000," ","integrate(log(1-c*(-b*x+a)/(b*x+a))/(-b^2*x^2+a^2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
342,-1,0,0,0.000000," ","integrate(log(1-c*(-b*x+a)/(b*x+a))/(-b*x+a)/(b*x+a),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
343,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)^3/(e*x^2+d*x),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)^{3}}{e x^{2} + d x}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)^3/(e*x^2 + d*x), x)","F",0
344,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)^2/(e*x^2+d*x),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)^{2}}{e x^{2} + d x}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)^2/(e*x^2 + d*x), x)","F",0
345,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)/(e*x^2+d*x),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)}{e x^{2} + d x}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)/(e*x^2 + d*x), x)","F",0
346,0,0,0,0.000000," ","integrate(1/(e*x^2+d*x)/log(c*(b*x+a)^n),x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{2} + d x\right)} \log\left({\left(b x + a\right)}^{n} c\right)}\,{d x}"," ",0,"integrate(1/((e*x^2 + d*x)*log((b*x + a)^n*c)), x)","F",0
347,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)^3/(f*x^2+e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)^{3}}{f x^{2} + e x + d}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)^3/(f*x^2 + e*x + d), x)","F",0
348,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)^2/(f*x^2+e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)^{2}}{f x^{2} + e x + d}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)^2/(f*x^2 + e*x + d), x)","F",0
349,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^n)/(f*x^2+e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{n} c\right)}{f x^{2} + e x + d}\,{d x}"," ",0,"integrate(log((b*x + a)^n*c)/(f*x^2 + e*x + d), x)","F",0
350,0,0,0,0.000000," ","integrate(1/(f*x^2+e*x+d)/log(c*(b*x+a)^n),x, algorithm=""giac"")","\int \frac{1}{{\left(f x^{2} + e x + d\right)} \log\left({\left(b x + a\right)}^{n} c\right)}\,{d x}"," ",0,"integrate(1/((f*x^2 + e*x + d)*log((b*x + a)^n*c)), x)","F",0
351,0,0,0,0.000000," ","integrate(x^3*log(x)/(c*x^2+b*x+a),x, algorithm=""giac"")","\int \frac{x^{3} \log\left(x\right)}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(x^3*log(x)/(c*x^2 + b*x + a), x)","F",0
352,0,0,0,0.000000," ","integrate(x^2*log(x)/(c*x^2+b*x+a),x, algorithm=""giac"")","\int \frac{x^{2} \log\left(x\right)}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(x^2*log(x)/(c*x^2 + b*x + a), x)","F",0
353,0,0,0,0.000000," ","integrate(x*log(x)/(c*x^2+b*x+a),x, algorithm=""giac"")","\int \frac{x \log\left(x\right)}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(x*log(x)/(c*x^2 + b*x + a), x)","F",0
354,0,0,0,0.000000," ","integrate(log(x)/(c*x^2+b*x+a),x, algorithm=""giac"")","\int \frac{\log\left(x\right)}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(log(x)/(c*x^2 + b*x + a), x)","F",0
355,0,0,0,0.000000," ","integrate(log(x)/x/(c*x^2+b*x+a),x, algorithm=""giac"")","\int \frac{\log\left(x\right)}{{\left(c x^{2} + b x + a\right)} x}\,{d x}"," ",0,"integrate(log(x)/((c*x^2 + b*x + a)*x), x)","F",0
356,0,0,0,0.000000," ","integrate(log(x)/x^2/(c*x^2+b*x+a),x, algorithm=""giac"")","\int \frac{\log\left(x\right)}{{\left(c x^{2} + b x + a\right)} x^{2}}\,{d x}"," ",0,"integrate(log(x)/((c*x^2 + b*x + a)*x^2), x)","F",0
357,0,0,0,0.000000," ","integrate(log(x)/x^3/(c*x^2+b*x+a),x, algorithm=""giac"")","\int \frac{\log\left(x\right)}{{\left(c x^{2} + b x + a\right)} x^{3}}\,{d x}"," ",0,"integrate(log(x)/((c*x^2 + b*x + a)*x^3), x)","F",0
358,0,0,0,0.000000," ","integrate(x^3*log(f*x^m)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{3} \log\left(f x^{m}\right)\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^3*log(f*x^m), x)","F",0
359,0,0,0,0.000000," ","integrate(x^2*log(f*x^m)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x^{2} \log\left(f x^{m}\right)\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x^2*log(f*x^m), x)","F",0
360,0,0,0,0.000000," ","integrate(x*log(f*x^m)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} x \log\left(f x^{m}\right)\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*x*log(f*x^m), x)","F",0
361,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} \log\left(f x^{m}\right)\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*log(f*x^m), x)","F",0
362,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} \log\left(f x^{m}\right)}{x}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*log(f*x^m)/x, x)","F",0
363,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} \log\left(f x^{m}\right)}{x^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*log(f*x^m)/x^2, x)","F",0
364,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} \log\left(f x^{m}\right)}{x^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*log(f*x^m)/x^3, x)","F",0
365,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} \log\left(f x^{m}\right)}{x^{4}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*log(f*x^m)/x^4, x)","F",0
366,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))/x^5,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} \log\left(f x^{m}\right)}{x^{5}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*log(f*x^m)/x^5, x)","F",0
367,0,0,0,0.000000," ","integrate(x^2*log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} x^{2} \log\left(f x^{m}\right)\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*x^2*log(f*x^m), x)","F",0
368,0,0,0,0.000000," ","integrate(x*log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} x \log\left(f x^{m}\right)\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*x*log(f*x^m), x)","F",0
369,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} \log\left(f x^{m}\right)\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*log(f*x^m), x)","F",0
370,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} \log\left(f x^{m}\right)}{x}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*log(f*x^m)/x, x)","F",0
371,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} \log\left(f x^{m}\right)}{x^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*log(f*x^m)/x^2, x)","F",0
372,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^2/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} \log\left(f x^{m}\right)}{x^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*log(f*x^m)/x^3, x)","F",0
373,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^3,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3} \log\left(f x^{m}\right)\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^3*log(f*x^m), x)","F",0
374,0,0,0,0.000000," ","integrate(log(x)*log(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\log\left(b x + a\right)^{2} \log\left(x\right)}{x}\,{d x}"," ",0,"integrate(log(b*x + a)^2*log(x)/x, x)","F",0
375,0,0,0,0.000000," ","integrate(log(f*x^m)/(a+b*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\int \frac{\log\left(f x^{m}\right)}{b \log\left({\left(e x + d\right)}^{n} c\right) + a}\,{d x}"," ",0,"integrate(log(f*x^m)/(b*log((e*x + d)^n*c) + a), x)","F",0
376,0,0,0,0.000000," ","integrate(log(f*x^m)/(a+b*log(c*(e*x+d)^n))^2,x, algorithm=""giac"")","\int \frac{\log\left(f x^{m}\right)}{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(log(f*x^m)/(b*log((e*x + d)^n*c) + a)^2, x)","F",0
377,0,0,0,0.000000," ","integrate(log(f*x^m)*(a+b*log(c*(e*x+d)^n))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{p} \log\left(f x^{m}\right)\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^p*log(f*x^m), x)","F",0
378,0,0,0,0.000000," ","integrate(log(b*x+a)*log(d*x+c)/x,x, algorithm=""giac"")","\int \frac{\log\left(b x + a\right) \log\left(d x + c\right)}{x}\,{d x}"," ",0,"integrate(log(b*x + a)*log(d*x + c)/x, x)","F",0
379,1,756,0,0.210910," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\frac{1}{3} \, {\left(x e + d\right)}^{3} b g n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} - {\left(x e + d\right)}^{2} b d g n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} + {\left(x e + d\right)} b d^{2} g n^{2} e^{\left(-3\right)} \log\left(x e + d\right)^{2} - \frac{2}{9} \, {\left(x e + d\right)}^{3} b g n^{2} e^{\left(-3\right)} \log\left(x e + d\right) + {\left(x e + d\right)}^{2} b d g n^{2} e^{\left(-3\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)} b d^{2} g n^{2} e^{\left(-3\right)} \log\left(x e + d\right) + \frac{2}{3} \, {\left(x e + d\right)}^{3} b g n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) - 2 \, {\left(x e + d\right)}^{2} b d g n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + 2 \, {\left(x e + d\right)} b d^{2} g n e^{\left(-3\right)} \log\left(x e + d\right) \log\left(c\right) + \frac{2}{27} \, {\left(x e + d\right)}^{3} b g n^{2} e^{\left(-3\right)} - \frac{1}{2} \, {\left(x e + d\right)}^{2} b d g n^{2} e^{\left(-3\right)} + 2 \, {\left(x e + d\right)} b d^{2} g n^{2} e^{\left(-3\right)} + \frac{1}{3} \, {\left(x e + d\right)}^{3} b f n e^{\left(-3\right)} \log\left(x e + d\right) - {\left(x e + d\right)}^{2} b d f n e^{\left(-3\right)} \log\left(x e + d\right) + {\left(x e + d\right)} b d^{2} f n e^{\left(-3\right)} \log\left(x e + d\right) + \frac{1}{3} \, {\left(x e + d\right)}^{3} a g n e^{\left(-3\right)} \log\left(x e + d\right) - {\left(x e + d\right)}^{2} a d g n e^{\left(-3\right)} \log\left(x e + d\right) + {\left(x e + d\right)} a d^{2} g n e^{\left(-3\right)} \log\left(x e + d\right) - \frac{2}{9} \, {\left(x e + d\right)}^{3} b g n e^{\left(-3\right)} \log\left(c\right) + {\left(x e + d\right)}^{2} b d g n e^{\left(-3\right)} \log\left(c\right) - 2 \, {\left(x e + d\right)} b d^{2} g n e^{\left(-3\right)} \log\left(c\right) + \frac{1}{3} \, {\left(x e + d\right)}^{3} b g e^{\left(-3\right)} \log\left(c\right)^{2} - {\left(x e + d\right)}^{2} b d g e^{\left(-3\right)} \log\left(c\right)^{2} + {\left(x e + d\right)} b d^{2} g e^{\left(-3\right)} \log\left(c\right)^{2} - \frac{1}{9} \, {\left(x e + d\right)}^{3} b f n e^{\left(-3\right)} + \frac{1}{2} \, {\left(x e + d\right)}^{2} b d f n e^{\left(-3\right)} - {\left(x e + d\right)} b d^{2} f n e^{\left(-3\right)} - \frac{1}{9} \, {\left(x e + d\right)}^{3} a g n e^{\left(-3\right)} + \frac{1}{2} \, {\left(x e + d\right)}^{2} a d g n e^{\left(-3\right)} - {\left(x e + d\right)} a d^{2} g n e^{\left(-3\right)} + \frac{1}{3} \, {\left(x e + d\right)}^{3} b f e^{\left(-3\right)} \log\left(c\right) - {\left(x e + d\right)}^{2} b d f e^{\left(-3\right)} \log\left(c\right) + {\left(x e + d\right)} b d^{2} f e^{\left(-3\right)} \log\left(c\right) + \frac{1}{3} \, {\left(x e + d\right)}^{3} a g e^{\left(-3\right)} \log\left(c\right) - {\left(x e + d\right)}^{2} a d g e^{\left(-3\right)} \log\left(c\right) + {\left(x e + d\right)} a d^{2} g e^{\left(-3\right)} \log\left(c\right) + \frac{1}{3} \, {\left(x e + d\right)}^{3} a f e^{\left(-3\right)} - {\left(x e + d\right)}^{2} a d f e^{\left(-3\right)} + {\left(x e + d\right)} a d^{2} f e^{\left(-3\right)}"," ",0,"1/3*(x*e + d)^3*b*g*n^2*e^(-3)*log(x*e + d)^2 - (x*e + d)^2*b*d*g*n^2*e^(-3)*log(x*e + d)^2 + (x*e + d)*b*d^2*g*n^2*e^(-3)*log(x*e + d)^2 - 2/9*(x*e + d)^3*b*g*n^2*e^(-3)*log(x*e + d) + (x*e + d)^2*b*d*g*n^2*e^(-3)*log(x*e + d) - 2*(x*e + d)*b*d^2*g*n^2*e^(-3)*log(x*e + d) + 2/3*(x*e + d)^3*b*g*n*e^(-3)*log(x*e + d)*log(c) - 2*(x*e + d)^2*b*d*g*n*e^(-3)*log(x*e + d)*log(c) + 2*(x*e + d)*b*d^2*g*n*e^(-3)*log(x*e + d)*log(c) + 2/27*(x*e + d)^3*b*g*n^2*e^(-3) - 1/2*(x*e + d)^2*b*d*g*n^2*e^(-3) + 2*(x*e + d)*b*d^2*g*n^2*e^(-3) + 1/3*(x*e + d)^3*b*f*n*e^(-3)*log(x*e + d) - (x*e + d)^2*b*d*f*n*e^(-3)*log(x*e + d) + (x*e + d)*b*d^2*f*n*e^(-3)*log(x*e + d) + 1/3*(x*e + d)^3*a*g*n*e^(-3)*log(x*e + d) - (x*e + d)^2*a*d*g*n*e^(-3)*log(x*e + d) + (x*e + d)*a*d^2*g*n*e^(-3)*log(x*e + d) - 2/9*(x*e + d)^3*b*g*n*e^(-3)*log(c) + (x*e + d)^2*b*d*g*n*e^(-3)*log(c) - 2*(x*e + d)*b*d^2*g*n*e^(-3)*log(c) + 1/3*(x*e + d)^3*b*g*e^(-3)*log(c)^2 - (x*e + d)^2*b*d*g*e^(-3)*log(c)^2 + (x*e + d)*b*d^2*g*e^(-3)*log(c)^2 - 1/9*(x*e + d)^3*b*f*n*e^(-3) + 1/2*(x*e + d)^2*b*d*f*n*e^(-3) - (x*e + d)*b*d^2*f*n*e^(-3) - 1/9*(x*e + d)^3*a*g*n*e^(-3) + 1/2*(x*e + d)^2*a*d*g*n*e^(-3) - (x*e + d)*a*d^2*g*n*e^(-3) + 1/3*(x*e + d)^3*b*f*e^(-3)*log(c) - (x*e + d)^2*b*d*f*e^(-3)*log(c) + (x*e + d)*b*d^2*f*e^(-3)*log(c) + 1/3*(x*e + d)^3*a*g*e^(-3)*log(c) - (x*e + d)^2*a*d*g*e^(-3)*log(c) + (x*e + d)*a*d^2*g*e^(-3)*log(c) + 1/3*(x*e + d)^3*a*f*e^(-3) - (x*e + d)^2*a*d*f*e^(-3) + (x*e + d)*a*d^2*f*e^(-3)","B",0
380,1,477,0,0.203745," ","integrate(x*(a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n)),x, algorithm=""giac"")","\frac{1}{2} \, {\left(x e + d\right)}^{2} b g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - {\left(x e + d\right)} b d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right)^{2} - \frac{1}{2} \, {\left(x e + d\right)}^{2} b g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)} b d g n^{2} e^{\left(-2\right)} \log\left(x e + d\right) + {\left(x e + d\right)}^{2} b g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) - 2 \, {\left(x e + d\right)} b d g n e^{\left(-2\right)} \log\left(x e + d\right) \log\left(c\right) + \frac{1}{4} \, {\left(x e + d\right)}^{2} b g n^{2} e^{\left(-2\right)} - 2 \, {\left(x e + d\right)} b d g n^{2} e^{\left(-2\right)} + \frac{1}{2} \, {\left(x e + d\right)}^{2} b f n e^{\left(-2\right)} \log\left(x e + d\right) - {\left(x e + d\right)} b d f n e^{\left(-2\right)} \log\left(x e + d\right) + \frac{1}{2} \, {\left(x e + d\right)}^{2} a g n e^{\left(-2\right)} \log\left(x e + d\right) - {\left(x e + d\right)} a d g n e^{\left(-2\right)} \log\left(x e + d\right) - \frac{1}{2} \, {\left(x e + d\right)}^{2} b g n e^{\left(-2\right)} \log\left(c\right) + 2 \, {\left(x e + d\right)} b d g n e^{\left(-2\right)} \log\left(c\right) + \frac{1}{2} \, {\left(x e + d\right)}^{2} b g e^{\left(-2\right)} \log\left(c\right)^{2} - {\left(x e + d\right)} b d g e^{\left(-2\right)} \log\left(c\right)^{2} - \frac{1}{4} \, {\left(x e + d\right)}^{2} b f n e^{\left(-2\right)} + {\left(x e + d\right)} b d f n e^{\left(-2\right)} - \frac{1}{4} \, {\left(x e + d\right)}^{2} a g n e^{\left(-2\right)} + {\left(x e + d\right)} a d g n e^{\left(-2\right)} + \frac{1}{2} \, {\left(x e + d\right)}^{2} b f e^{\left(-2\right)} \log\left(c\right) - {\left(x e + d\right)} b d f e^{\left(-2\right)} \log\left(c\right) + \frac{1}{2} \, {\left(x e + d\right)}^{2} a g e^{\left(-2\right)} \log\left(c\right) - {\left(x e + d\right)} a d g e^{\left(-2\right)} \log\left(c\right) + \frac{1}{2} \, {\left(x e + d\right)}^{2} a f e^{\left(-2\right)} - {\left(x e + d\right)} a d f e^{\left(-2\right)}"," ",0,"1/2*(x*e + d)^2*b*g*n^2*e^(-2)*log(x*e + d)^2 - (x*e + d)*b*d*g*n^2*e^(-2)*log(x*e + d)^2 - 1/2*(x*e + d)^2*b*g*n^2*e^(-2)*log(x*e + d) + 2*(x*e + d)*b*d*g*n^2*e^(-2)*log(x*e + d) + (x*e + d)^2*b*g*n*e^(-2)*log(x*e + d)*log(c) - 2*(x*e + d)*b*d*g*n*e^(-2)*log(x*e + d)*log(c) + 1/4*(x*e + d)^2*b*g*n^2*e^(-2) - 2*(x*e + d)*b*d*g*n^2*e^(-2) + 1/2*(x*e + d)^2*b*f*n*e^(-2)*log(x*e + d) - (x*e + d)*b*d*f*n*e^(-2)*log(x*e + d) + 1/2*(x*e + d)^2*a*g*n*e^(-2)*log(x*e + d) - (x*e + d)*a*d*g*n*e^(-2)*log(x*e + d) - 1/2*(x*e + d)^2*b*g*n*e^(-2)*log(c) + 2*(x*e + d)*b*d*g*n*e^(-2)*log(c) + 1/2*(x*e + d)^2*b*g*e^(-2)*log(c)^2 - (x*e + d)*b*d*g*e^(-2)*log(c)^2 - 1/4*(x*e + d)^2*b*f*n*e^(-2) + (x*e + d)*b*d*f*n*e^(-2) - 1/4*(x*e + d)^2*a*g*n*e^(-2) + (x*e + d)*a*d*g*n*e^(-2) + 1/2*(x*e + d)^2*b*f*e^(-2)*log(c) - (x*e + d)*b*d*f*e^(-2)*log(c) + 1/2*(x*e + d)^2*a*g*e^(-2)*log(c) - (x*e + d)*a*d*g*e^(-2)*log(c) + 1/2*(x*e + d)^2*a*f*e^(-2) - (x*e + d)*a*d*f*e^(-2)","B",0
381,1,214,0,0.188476," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n)),x, algorithm=""giac"")","{\left(x e + d\right)} b g n^{2} e^{\left(-1\right)} \log\left(x e + d\right)^{2} - 2 \, {\left(x e + d\right)} b g n^{2} e^{\left(-1\right)} \log\left(x e + d\right) + 2 \, {\left(x e + d\right)} b g n e^{\left(-1\right)} \log\left(x e + d\right) \log\left(c\right) + 2 \, {\left(x e + d\right)} b g n^{2} e^{\left(-1\right)} + {\left(x e + d\right)} b f n e^{\left(-1\right)} \log\left(x e + d\right) + {\left(x e + d\right)} a g n e^{\left(-1\right)} \log\left(x e + d\right) - 2 \, {\left(x e + d\right)} b g n e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} b g e^{\left(-1\right)} \log\left(c\right)^{2} - {\left(x e + d\right)} b f n e^{\left(-1\right)} - {\left(x e + d\right)} a g n e^{\left(-1\right)} + {\left(x e + d\right)} b f e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a g e^{\left(-1\right)} \log\left(c\right) + {\left(x e + d\right)} a f e^{\left(-1\right)}"," ",0,"(x*e + d)*b*g*n^2*e^(-1)*log(x*e + d)^2 - 2*(x*e + d)*b*g*n^2*e^(-1)*log(x*e + d) + 2*(x*e + d)*b*g*n*e^(-1)*log(x*e + d)*log(c) + 2*(x*e + d)*b*g*n^2*e^(-1) + (x*e + d)*b*f*n*e^(-1)*log(x*e + d) + (x*e + d)*a*g*n*e^(-1)*log(x*e + d) - 2*(x*e + d)*b*g*n*e^(-1)*log(c) + (x*e + d)*b*g*e^(-1)*log(c)^2 - (x*e + d)*b*f*n*e^(-1) - (x*e + d)*a*g*n*e^(-1) + (x*e + d)*b*f*e^(-1)*log(c) + (x*e + d)*a*g*e^(-1)*log(c) + (x*e + d)*a*f*e^(-1)","A",0
382,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n))/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} {\left(g \log\left({\left(e x + d\right)}^{n} c\right) + f\right)}}{x}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*(g*log((e*x + d)^n*c) + f)/x, x)","F",0
383,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n))/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} {\left(g \log\left({\left(e x + d\right)}^{n} c\right) + f\right)}}{x^{2}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*(g*log((e*x + d)^n*c) + f)/x^2, x)","F",0
384,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n))/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} {\left(g \log\left({\left(e x + d\right)}^{n} c\right) + f\right)}}{x^{3}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*(g*log((e*x + d)^n*c) + f)/x^3, x)","F",0
385,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(c*(e*x+d)^n))/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} {\left(g \log\left({\left(e x + d\right)}^{n} c\right) + f\right)}}{x^{4}}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*(g*log((e*x + d)^n*c) + f)/x^4, x)","F",0
386,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} {\left(g \log\left({\left(j x + i\right)}^{m} h\right) + f\right)} x^{3}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*(g*log((j*x + i)^m*h) + f)*x^3, x)","F",0
387,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} {\left(g \log\left({\left(j x + i\right)}^{m} h\right) + f\right)} x^{2}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*(g*log((j*x + i)^m*h) + f)*x^2, x)","F",0
388,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} {\left(g \log\left({\left(j x + i\right)}^{m} h\right) + f\right)} x\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*(g*log((j*x + i)^m*h) + f)*x, x)","F",0
389,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} {\left(g \log\left({\left(j x + i\right)}^{m} h\right) + f\right)}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*(g*log((j*x + i)^m*h) + f), x)","F",0
390,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m))/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} {\left(g \log\left({\left(j x + i\right)}^{m} h\right) + f\right)}}{x}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*(g*log((j*x + i)^m*h) + f)/x, x)","F",0
391,-1,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m))/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
392,-1,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*(f+g*log(h*(j*x+i)^m))/x^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
393,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))^2*(f+g*log(h*(j*x+i)^m)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} {\left(g \log\left({\left(j x + i\right)}^{m} h\right) + f\right)} x\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*(g*log((j*x + i)^m*h) + f)*x, x)","F",0
394,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2*(f+g*log(h*(j*x+i)^m)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} {\left(g \log\left({\left(j x + i\right)}^{m} h\right) + f\right)}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*(g*log((j*x + i)^m*h) + f), x)","F",0
395,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2*(f+g*log(h*(j*x+i)^m))/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} {\left(g \log\left({\left(j x + i\right)}^{m} h\right) + f\right)}}{x}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^2*(g*log((j*x + i)^m*h) + f)/x, x)","F",0
396,-1,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^2*(f+g*log(h*(j*x+i)^m))/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
397,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(e*x+d)^n))^3*(f+g*log(h*(j*x+i)^m)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3} {\left(g \log\left({\left(j x + i\right)}^{m} h\right) + f\right)} x\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^3*(g*log((j*x + i)^m*h) + f)*x, x)","F",0
398,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3*(f+g*log(h*(j*x+i)^m)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3} {\left(g \log\left({\left(j x + i\right)}^{m} h\right) + f\right)}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^3*(g*log((j*x + i)^m*h) + f), x)","F",0
399,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3*(f+g*log(h*(j*x+i)^m))/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{3} {\left(g \log\left({\left(j x + i\right)}^{m} h\right) + f\right)}}{x}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)^3*(g*log((j*x + i)^m*h) + f)/x, x)","F",0
400,-1,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))^3*(f+g*log(h*(j*x+i)^m))/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
401,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x+d)^n))*log(e*(g*x+f)/(-d*g+e*f))/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)} \log\left(\frac{{\left(g x + f\right)} e}{e f - d g}\right)}{e x + d}\,{d x}"," ",0,"integrate((b*log((e*x + d)^n*c) + a)*log((g*x + f)*e/(e*f - d*g))/(e*x + d), x)","F",0
402,1,72,0,0.190815," ","integrate(log(c*(e*x+d))*(a+b*log(c*(e*x+d)))/(e*x+d)^2,x, algorithm=""giac"")","-\frac{{\left(b c^{2} \log\left({\left(x e + d\right)} c\right)^{2} + a c^{2} \log\left({\left(x e + d\right)} c\right) + 2 \, b c^{2} \log\left({\left(x e + d\right)} c\right) + a c^{2} + 2 \, b c^{2}\right)} e^{\left(-1\right)}}{{\left(x e + d\right)} c^{2}}"," ",0,"-(b*c^2*log((x*e + d)*c)^2 + a*c^2*log((x*e + d)*c) + 2*b*c^2*log((x*e + d)*c) + a*c^2 + 2*b*c^2)*e^(-1)/((x*e + d)*c^2)","A",0
403,1,104,0,0.205715," ","integrate((a+b*log(c*(e*x+d)))*(f+g*log(c*(e*x+d)))/(e*x+d)^2,x, algorithm=""giac"")","-\frac{{\left(b c^{2} g \log\left({\left(x e + d\right)} c\right)^{2} + b c^{2} f \log\left({\left(x e + d\right)} c\right) + a c^{2} g \log\left({\left(x e + d\right)} c\right) + 2 \, b c^{2} g \log\left({\left(x e + d\right)} c\right) + a c^{2} f + b c^{2} f + a c^{2} g + 2 \, b c^{2} g\right)} e^{\left(-1\right)}}{{\left(x e + d\right)} c^{2}}"," ",0,"-(b*c^2*g*log((x*e + d)*c)^2 + b*c^2*f*log((x*e + d)*c) + a*c^2*g*log((x*e + d)*c) + 2*b*c^2*g*log((x*e + d)*c) + a*c^2*f + b*c^2*f + a*c^2*g + 2*b*c^2*g)*e^(-1)/((x*e + d)*c^2)","A",0
404,1,1802,0,0.345749," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^4,x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b^{4} m^{4} n^{4} \log\left(f x + e\right)^{4}}{f} - \frac{4 \, {\left(f x + e\right)} b^{4} m^{4} n^{4} \log\left(f x + e\right)^{3}}{f} + \frac{4 \, {\left(f x + e\right)} b^{4} m^{3} n^{4} \log\left(f x + e\right)^{3} \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} b^{4} m^{4} n^{4} \log\left(f x + e\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} b^{4} m^{3} n^{3} \log\left(f x + e\right)^{3} \log\left(c\right)}{f} - \frac{12 \, {\left(f x + e\right)} b^{4} m^{3} n^{4} \log\left(f x + e\right)^{2} \log\left(d\right)}{f} + \frac{6 \, {\left(f x + e\right)} b^{4} m^{2} n^{4} \log\left(f x + e\right)^{2} \log\left(d\right)^{2}}{f} - \frac{24 \, {\left(f x + e\right)} b^{4} m^{4} n^{4} \log\left(f x + e\right)}{f} + \frac{4 \, {\left(f x + e\right)} a b^{3} m^{3} n^{3} \log\left(f x + e\right)^{3}}{f} - \frac{12 \, {\left(f x + e\right)} b^{4} m^{3} n^{3} \log\left(f x + e\right)^{2} \log\left(c\right)}{f} + \frac{24 \, {\left(f x + e\right)} b^{4} m^{3} n^{4} \log\left(f x + e\right) \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} b^{4} m^{2} n^{3} \log\left(f x + e\right)^{2} \log\left(c\right) \log\left(d\right)}{f} - \frac{12 \, {\left(f x + e\right)} b^{4} m^{2} n^{4} \log\left(f x + e\right) \log\left(d\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} b^{4} m n^{4} \log\left(f x + e\right) \log\left(d\right)^{3}}{f} + \frac{24 \, {\left(f x + e\right)} b^{4} m^{4} n^{4}}{f} - \frac{12 \, {\left(f x + e\right)} a b^{3} m^{3} n^{3} \log\left(f x + e\right)^{2}}{f} + \frac{24 \, {\left(f x + e\right)} b^{4} m^{3} n^{3} \log\left(f x + e\right) \log\left(c\right)}{f} + \frac{6 \, {\left(f x + e\right)} b^{4} m^{2} n^{2} \log\left(f x + e\right)^{2} \log\left(c\right)^{2}}{f} - \frac{24 \, {\left(f x + e\right)} b^{4} m^{3} n^{4} \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} a b^{3} m^{2} n^{3} \log\left(f x + e\right)^{2} \log\left(d\right)}{f} - \frac{24 \, {\left(f x + e\right)} b^{4} m^{2} n^{3} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} b^{4} m^{2} n^{4} \log\left(d\right)^{2}}{f} + \frac{12 \, {\left(f x + e\right)} b^{4} m n^{3} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)^{2}}{f} - \frac{4 \, {\left(f x + e\right)} b^{4} m n^{4} \log\left(d\right)^{3}}{f} + \frac{{\left(f x + e\right)} b^{4} n^{4} \log\left(d\right)^{4}}{f} + \frac{24 \, {\left(f x + e\right)} a b^{3} m^{3} n^{3} \log\left(f x + e\right)}{f} - \frac{24 \, {\left(f x + e\right)} b^{4} m^{3} n^{3} \log\left(c\right)}{f} + \frac{12 \, {\left(f x + e\right)} a b^{3} m^{2} n^{2} \log\left(f x + e\right)^{2} \log\left(c\right)}{f} - \frac{12 \, {\left(f x + e\right)} b^{4} m^{2} n^{2} \log\left(f x + e\right) \log\left(c\right)^{2}}{f} - \frac{24 \, {\left(f x + e\right)} a b^{3} m^{2} n^{3} \log\left(f x + e\right) \log\left(d\right)}{f} + \frac{24 \, {\left(f x + e\right)} b^{4} m^{2} n^{3} \log\left(c\right) \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} b^{4} m n^{2} \log\left(f x + e\right) \log\left(c\right)^{2} \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} a b^{3} m n^{3} \log\left(f x + e\right) \log\left(d\right)^{2}}{f} - \frac{12 \, {\left(f x + e\right)} b^{4} m n^{3} \log\left(c\right) \log\left(d\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} b^{4} n^{3} \log\left(c\right) \log\left(d\right)^{3}}{f} - \frac{24 \, {\left(f x + e\right)} a b^{3} m^{3} n^{3}}{f} + \frac{6 \, {\left(f x + e\right)} a^{2} b^{2} m^{2} n^{2} \log\left(f x + e\right)^{2}}{f} - \frac{24 \, {\left(f x + e\right)} a b^{3} m^{2} n^{2} \log\left(f x + e\right) \log\left(c\right)}{f} + \frac{12 \, {\left(f x + e\right)} b^{4} m^{2} n^{2} \log\left(c\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} b^{4} m n \log\left(f x + e\right) \log\left(c\right)^{3}}{f} + \frac{24 \, {\left(f x + e\right)} a b^{3} m^{2} n^{3} \log\left(d\right)}{f} + \frac{24 \, {\left(f x + e\right)} a b^{3} m n^{2} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f} - \frac{12 \, {\left(f x + e\right)} b^{4} m n^{2} \log\left(c\right)^{2} \log\left(d\right)}{f} - \frac{12 \, {\left(f x + e\right)} a b^{3} m n^{3} \log\left(d\right)^{2}}{f} + \frac{6 \, {\left(f x + e\right)} b^{4} n^{2} \log\left(c\right)^{2} \log\left(d\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} a b^{3} n^{3} \log\left(d\right)^{3}}{f} - \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} m^{2} n^{2} \log\left(f x + e\right)}{f} + \frac{24 \, {\left(f x + e\right)} a b^{3} m^{2} n^{2} \log\left(c\right)}{f} + \frac{12 \, {\left(f x + e\right)} a b^{3} m n \log\left(f x + e\right) \log\left(c\right)^{2}}{f} - \frac{4 \, {\left(f x + e\right)} b^{4} m n \log\left(c\right)^{3}}{f} + \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} m n^{2} \log\left(f x + e\right) \log\left(d\right)}{f} - \frac{24 \, {\left(f x + e\right)} a b^{3} m n^{2} \log\left(c\right) \log\left(d\right)}{f} + \frac{4 \, {\left(f x + e\right)} b^{4} n \log\left(c\right)^{3} \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} a b^{3} n^{2} \log\left(c\right) \log\left(d\right)^{2}}{f} + \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} m^{2} n^{2}}{f} + \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} m n \log\left(f x + e\right) \log\left(c\right)}{f} - \frac{12 \, {\left(f x + e\right)} a b^{3} m n \log\left(c\right)^{2}}{f} + \frac{{\left(f x + e\right)} b^{4} \log\left(c\right)^{4}}{f} - \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} m n^{2} \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} a b^{3} n \log\left(c\right)^{2} \log\left(d\right)}{f} + \frac{6 \, {\left(f x + e\right)} a^{2} b^{2} n^{2} \log\left(d\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} a^{3} b m n \log\left(f x + e\right)}{f} - \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} m n \log\left(c\right)}{f} + \frac{4 \, {\left(f x + e\right)} a b^{3} \log\left(c\right)^{3}}{f} + \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} n \log\left(c\right) \log\left(d\right)}{f} - \frac{4 \, {\left(f x + e\right)} a^{3} b m n}{f} + \frac{6 \, {\left(f x + e\right)} a^{2} b^{2} \log\left(c\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} a^{3} b n \log\left(d\right)}{f} + \frac{4 \, {\left(f x + e\right)} a^{3} b \log\left(c\right)}{f} + \frac{{\left(f x + e\right)} a^{4}}{f}"," ",0,"(f*x + e)*b^4*m^4*n^4*log(f*x + e)^4/f - 4*(f*x + e)*b^4*m^4*n^4*log(f*x + e)^3/f + 4*(f*x + e)*b^4*m^3*n^4*log(f*x + e)^3*log(d)/f + 12*(f*x + e)*b^4*m^4*n^4*log(f*x + e)^2/f + 4*(f*x + e)*b^4*m^3*n^3*log(f*x + e)^3*log(c)/f - 12*(f*x + e)*b^4*m^3*n^4*log(f*x + e)^2*log(d)/f + 6*(f*x + e)*b^4*m^2*n^4*log(f*x + e)^2*log(d)^2/f - 24*(f*x + e)*b^4*m^4*n^4*log(f*x + e)/f + 4*(f*x + e)*a*b^3*m^3*n^3*log(f*x + e)^3/f - 12*(f*x + e)*b^4*m^3*n^3*log(f*x + e)^2*log(c)/f + 24*(f*x + e)*b^4*m^3*n^4*log(f*x + e)*log(d)/f + 12*(f*x + e)*b^4*m^2*n^3*log(f*x + e)^2*log(c)*log(d)/f - 12*(f*x + e)*b^4*m^2*n^4*log(f*x + e)*log(d)^2/f + 4*(f*x + e)*b^4*m*n^4*log(f*x + e)*log(d)^3/f + 24*(f*x + e)*b^4*m^4*n^4/f - 12*(f*x + e)*a*b^3*m^3*n^3*log(f*x + e)^2/f + 24*(f*x + e)*b^4*m^3*n^3*log(f*x + e)*log(c)/f + 6*(f*x + e)*b^4*m^2*n^2*log(f*x + e)^2*log(c)^2/f - 24*(f*x + e)*b^4*m^3*n^4*log(d)/f + 12*(f*x + e)*a*b^3*m^2*n^3*log(f*x + e)^2*log(d)/f - 24*(f*x + e)*b^4*m^2*n^3*log(f*x + e)*log(c)*log(d)/f + 12*(f*x + e)*b^4*m^2*n^4*log(d)^2/f + 12*(f*x + e)*b^4*m*n^3*log(f*x + e)*log(c)*log(d)^2/f - 4*(f*x + e)*b^4*m*n^4*log(d)^3/f + (f*x + e)*b^4*n^4*log(d)^4/f + 24*(f*x + e)*a*b^3*m^3*n^3*log(f*x + e)/f - 24*(f*x + e)*b^4*m^3*n^3*log(c)/f + 12*(f*x + e)*a*b^3*m^2*n^2*log(f*x + e)^2*log(c)/f - 12*(f*x + e)*b^4*m^2*n^2*log(f*x + e)*log(c)^2/f - 24*(f*x + e)*a*b^3*m^2*n^3*log(f*x + e)*log(d)/f + 24*(f*x + e)*b^4*m^2*n^3*log(c)*log(d)/f + 12*(f*x + e)*b^4*m*n^2*log(f*x + e)*log(c)^2*log(d)/f + 12*(f*x + e)*a*b^3*m*n^3*log(f*x + e)*log(d)^2/f - 12*(f*x + e)*b^4*m*n^3*log(c)*log(d)^2/f + 4*(f*x + e)*b^4*n^3*log(c)*log(d)^3/f - 24*(f*x + e)*a*b^3*m^3*n^3/f + 6*(f*x + e)*a^2*b^2*m^2*n^2*log(f*x + e)^2/f - 24*(f*x + e)*a*b^3*m^2*n^2*log(f*x + e)*log(c)/f + 12*(f*x + e)*b^4*m^2*n^2*log(c)^2/f + 4*(f*x + e)*b^4*m*n*log(f*x + e)*log(c)^3/f + 24*(f*x + e)*a*b^3*m^2*n^3*log(d)/f + 24*(f*x + e)*a*b^3*m*n^2*log(f*x + e)*log(c)*log(d)/f - 12*(f*x + e)*b^4*m*n^2*log(c)^2*log(d)/f - 12*(f*x + e)*a*b^3*m*n^3*log(d)^2/f + 6*(f*x + e)*b^4*n^2*log(c)^2*log(d)^2/f + 4*(f*x + e)*a*b^3*n^3*log(d)^3/f - 12*(f*x + e)*a^2*b^2*m^2*n^2*log(f*x + e)/f + 24*(f*x + e)*a*b^3*m^2*n^2*log(c)/f + 12*(f*x + e)*a*b^3*m*n*log(f*x + e)*log(c)^2/f - 4*(f*x + e)*b^4*m*n*log(c)^3/f + 12*(f*x + e)*a^2*b^2*m*n^2*log(f*x + e)*log(d)/f - 24*(f*x + e)*a*b^3*m*n^2*log(c)*log(d)/f + 4*(f*x + e)*b^4*n*log(c)^3*log(d)/f + 12*(f*x + e)*a*b^3*n^2*log(c)*log(d)^2/f + 12*(f*x + e)*a^2*b^2*m^2*n^2/f + 12*(f*x + e)*a^2*b^2*m*n*log(f*x + e)*log(c)/f - 12*(f*x + e)*a*b^3*m*n*log(c)^2/f + (f*x + e)*b^4*log(c)^4/f - 12*(f*x + e)*a^2*b^2*m*n^2*log(d)/f + 12*(f*x + e)*a*b^3*n*log(c)^2*log(d)/f + 6*(f*x + e)*a^2*b^2*n^2*log(d)^2/f + 4*(f*x + e)*a^3*b*m*n*log(f*x + e)/f - 12*(f*x + e)*a^2*b^2*m*n*log(c)/f + 4*(f*x + e)*a*b^3*log(c)^3/f + 12*(f*x + e)*a^2*b^2*n*log(c)*log(d)/f - 4*(f*x + e)*a^3*b*m*n/f + 6*(f*x + e)*a^2*b^2*log(c)^2/f + 4*(f*x + e)*a^3*b*n*log(d)/f + 4*(f*x + e)*a^3*b*log(c)/f + (f*x + e)*a^4/f","B",0
405,1,822,0,0.281341," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^3,x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b^{3} m^{3} n^{3} \log\left(f x + e\right)^{3}}{f} - \frac{3 \, {\left(f x + e\right)} b^{3} m^{3} n^{3} \log\left(f x + e\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)} b^{3} m^{2} n^{3} \log\left(f x + e\right)^{2} \log\left(d\right)}{f} + \frac{6 \, {\left(f x + e\right)} b^{3} m^{3} n^{3} \log\left(f x + e\right)}{f} + \frac{3 \, {\left(f x + e\right)} b^{3} m^{2} n^{2} \log\left(f x + e\right)^{2} \log\left(c\right)}{f} - \frac{6 \, {\left(f x + e\right)} b^{3} m^{2} n^{3} \log\left(f x + e\right) \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)} b^{3} m n^{3} \log\left(f x + e\right) \log\left(d\right)^{2}}{f} - \frac{6 \, {\left(f x + e\right)} b^{3} m^{3} n^{3}}{f} + \frac{3 \, {\left(f x + e\right)} a b^{2} m^{2} n^{2} \log\left(f x + e\right)^{2}}{f} - \frac{6 \, {\left(f x + e\right)} b^{3} m^{2} n^{2} \log\left(f x + e\right) \log\left(c\right)}{f} + \frac{6 \, {\left(f x + e\right)} b^{3} m^{2} n^{3} \log\left(d\right)}{f} + \frac{6 \, {\left(f x + e\right)} b^{3} m n^{2} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f} - \frac{3 \, {\left(f x + e\right)} b^{3} m n^{3} \log\left(d\right)^{2}}{f} + \frac{{\left(f x + e\right)} b^{3} n^{3} \log\left(d\right)^{3}}{f} - \frac{6 \, {\left(f x + e\right)} a b^{2} m^{2} n^{2} \log\left(f x + e\right)}{f} + \frac{6 \, {\left(f x + e\right)} b^{3} m^{2} n^{2} \log\left(c\right)}{f} + \frac{3 \, {\left(f x + e\right)} b^{3} m n \log\left(f x + e\right) \log\left(c\right)^{2}}{f} + \frac{6 \, {\left(f x + e\right)} a b^{2} m n^{2} \log\left(f x + e\right) \log\left(d\right)}{f} - \frac{6 \, {\left(f x + e\right)} b^{3} m n^{2} \log\left(c\right) \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)} b^{3} n^{2} \log\left(c\right) \log\left(d\right)^{2}}{f} + \frac{6 \, {\left(f x + e\right)} a b^{2} m^{2} n^{2}}{f} + \frac{6 \, {\left(f x + e\right)} a b^{2} m n \log\left(f x + e\right) \log\left(c\right)}{f} - \frac{3 \, {\left(f x + e\right)} b^{3} m n \log\left(c\right)^{2}}{f} - \frac{6 \, {\left(f x + e\right)} a b^{2} m n^{2} \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)} b^{3} n \log\left(c\right)^{2} \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)} a b^{2} n^{2} \log\left(d\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)} a^{2} b m n \log\left(f x + e\right)}{f} - \frac{6 \, {\left(f x + e\right)} a b^{2} m n \log\left(c\right)}{f} + \frac{{\left(f x + e\right)} b^{3} \log\left(c\right)^{3}}{f} + \frac{6 \, {\left(f x + e\right)} a b^{2} n \log\left(c\right) \log\left(d\right)}{f} - \frac{3 \, {\left(f x + e\right)} a^{2} b m n}{f} + \frac{3 \, {\left(f x + e\right)} a b^{2} \log\left(c\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)} a^{2} b n \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)} a^{2} b \log\left(c\right)}{f} + \frac{{\left(f x + e\right)} a^{3}}{f}"," ",0,"(f*x + e)*b^3*m^3*n^3*log(f*x + e)^3/f - 3*(f*x + e)*b^3*m^3*n^3*log(f*x + e)^2/f + 3*(f*x + e)*b^3*m^2*n^3*log(f*x + e)^2*log(d)/f + 6*(f*x + e)*b^3*m^3*n^3*log(f*x + e)/f + 3*(f*x + e)*b^3*m^2*n^2*log(f*x + e)^2*log(c)/f - 6*(f*x + e)*b^3*m^2*n^3*log(f*x + e)*log(d)/f + 3*(f*x + e)*b^3*m*n^3*log(f*x + e)*log(d)^2/f - 6*(f*x + e)*b^3*m^3*n^3/f + 3*(f*x + e)*a*b^2*m^2*n^2*log(f*x + e)^2/f - 6*(f*x + e)*b^3*m^2*n^2*log(f*x + e)*log(c)/f + 6*(f*x + e)*b^3*m^2*n^3*log(d)/f + 6*(f*x + e)*b^3*m*n^2*log(f*x + e)*log(c)*log(d)/f - 3*(f*x + e)*b^3*m*n^3*log(d)^2/f + (f*x + e)*b^3*n^3*log(d)^3/f - 6*(f*x + e)*a*b^2*m^2*n^2*log(f*x + e)/f + 6*(f*x + e)*b^3*m^2*n^2*log(c)/f + 3*(f*x + e)*b^3*m*n*log(f*x + e)*log(c)^2/f + 6*(f*x + e)*a*b^2*m*n^2*log(f*x + e)*log(d)/f - 6*(f*x + e)*b^3*m*n^2*log(c)*log(d)/f + 3*(f*x + e)*b^3*n^2*log(c)*log(d)^2/f + 6*(f*x + e)*a*b^2*m^2*n^2/f + 6*(f*x + e)*a*b^2*m*n*log(f*x + e)*log(c)/f - 3*(f*x + e)*b^3*m*n*log(c)^2/f - 6*(f*x + e)*a*b^2*m*n^2*log(d)/f + 3*(f*x + e)*b^3*n*log(c)^2*log(d)/f + 3*(f*x + e)*a*b^2*n^2*log(d)^2/f + 3*(f*x + e)*a^2*b*m*n*log(f*x + e)/f - 6*(f*x + e)*a*b^2*m*n*log(c)/f + (f*x + e)*b^3*log(c)^3/f + 6*(f*x + e)*a*b^2*n*log(c)*log(d)/f - 3*(f*x + e)*a^2*b*m*n/f + 3*(f*x + e)*a*b^2*log(c)^2/f + 3*(f*x + e)*a^2*b*n*log(d)/f + 3*(f*x + e)*a^2*b*log(c)/f + (f*x + e)*a^3/f","B",0
406,1,303,0,0.332513," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^2,x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b^{2} m^{2} n^{2} \log\left(f x + e\right)^{2}}{f} - \frac{2 \, {\left(f x + e\right)} b^{2} m^{2} n^{2} \log\left(f x + e\right)}{f} + \frac{2 \, {\left(f x + e\right)} b^{2} m n^{2} \log\left(f x + e\right) \log\left(d\right)}{f} + \frac{2 \, {\left(f x + e\right)} b^{2} m^{2} n^{2}}{f} + \frac{2 \, {\left(f x + e\right)} b^{2} m n \log\left(f x + e\right) \log\left(c\right)}{f} - \frac{2 \, {\left(f x + e\right)} b^{2} m n^{2} \log\left(d\right)}{f} + \frac{{\left(f x + e\right)} b^{2} n^{2} \log\left(d\right)^{2}}{f} + \frac{2 \, {\left(f x + e\right)} a b m n \log\left(f x + e\right)}{f} - \frac{2 \, {\left(f x + e\right)} b^{2} m n \log\left(c\right)}{f} + \frac{2 \, {\left(f x + e\right)} b^{2} n \log\left(c\right) \log\left(d\right)}{f} - \frac{2 \, {\left(f x + e\right)} a b m n}{f} + \frac{{\left(f x + e\right)} b^{2} \log\left(c\right)^{2}}{f} + \frac{2 \, {\left(f x + e\right)} a b n \log\left(d\right)}{f} + \frac{2 \, {\left(f x + e\right)} a b \log\left(c\right)}{f} + \frac{{\left(f x + e\right)} a^{2}}{f}"," ",0,"(f*x + e)*b^2*m^2*n^2*log(f*x + e)^2/f - 2*(f*x + e)*b^2*m^2*n^2*log(f*x + e)/f + 2*(f*x + e)*b^2*m*n^2*log(f*x + e)*log(d)/f + 2*(f*x + e)*b^2*m^2*n^2/f + 2*(f*x + e)*b^2*m*n*log(f*x + e)*log(c)/f - 2*(f*x + e)*b^2*m*n^2*log(d)/f + (f*x + e)*b^2*n^2*log(d)^2/f + 2*(f*x + e)*a*b*m*n*log(f*x + e)/f - 2*(f*x + e)*b^2*m*n*log(c)/f + 2*(f*x + e)*b^2*n*log(c)*log(d)/f - 2*(f*x + e)*a*b*m*n/f + (f*x + e)*b^2*log(c)^2/f + 2*(f*x + e)*a*b*n*log(d)/f + 2*(f*x + e)*a*b*log(c)/f + (f*x + e)*a^2/f","B",0
407,1,64,0,0.175345," ","integrate(a+b*log(c*(d*(f*x+e)^m)^n),x, algorithm=""giac"")","{\left(\frac{{\left(f x + e\right)} m n \log\left(f x + e\right)}{f} - \frac{{\left(f x + e\right)} m n}{f} + \frac{{\left(f x + e\right)} n \log\left(d\right)}{f} + \frac{{\left(f x + e\right)} \log\left(c\right)}{f}\right)} b + a x"," ",0,"((f*x + e)*m*n*log(f*x + e)/f - (f*x + e)*m*n/f + (f*x + e)*n*log(d)/f + (f*x + e)*log(c)/f)*b + a*x","A",0
408,1,79,0,0.170910," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n)),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)}}{b c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)} f m n}"," ",0,"Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))/(b*c^(1/(m*n))*d^(1/m)*f*m*n)","A",0
409,1,593,0,0.245688," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^2,x, algorithm=""giac"")","-\frac{{\left(f x + e\right)} b m n}{b^{3} f m^{3} n^{3} \log\left(f x + e\right) + b^{3} f m^{2} n^{3} \log\left(d\right) + b^{3} f m^{2} n^{2} \log\left(c\right) + a b^{2} f m^{2} n^{2}} + \frac{b m n {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)} \log\left(f x + e\right)}{{\left(b^{3} f m^{3} n^{3} \log\left(f x + e\right) + b^{3} f m^{2} n^{3} \log\left(d\right) + b^{3} f m^{2} n^{2} \log\left(c\right) + a b^{2} f m^{2} n^{2}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}} + \frac{b n {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)} \log\left(d\right)}{{\left(b^{3} f m^{3} n^{3} \log\left(f x + e\right) + b^{3} f m^{2} n^{3} \log\left(d\right) + b^{3} f m^{2} n^{2} \log\left(c\right) + a b^{2} f m^{2} n^{2}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}} + \frac{b {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)} \log\left(c\right)}{{\left(b^{3} f m^{3} n^{3} \log\left(f x + e\right) + b^{3} f m^{2} n^{3} \log\left(d\right) + b^{3} f m^{2} n^{2} \log\left(c\right) + a b^{2} f m^{2} n^{2}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}} + \frac{a {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)}}{{\left(b^{3} f m^{3} n^{3} \log\left(f x + e\right) + b^{3} f m^{2} n^{3} \log\left(d\right) + b^{3} f m^{2} n^{2} \log\left(c\right) + a b^{2} f m^{2} n^{2}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}}"," ",0,"-(f*x + e)*b*m*n/(b^3*f*m^3*n^3*log(f*x + e) + b^3*f*m^2*n^3*log(d) + b^3*f*m^2*n^2*log(c) + a*b^2*f*m^2*n^2) + b*m*n*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))*log(f*x + e)/((b^3*f*m^3*n^3*log(f*x + e) + b^3*f*m^2*n^3*log(d) + b^3*f*m^2*n^2*log(c) + a*b^2*f*m^2*n^2)*c^(1/(m*n))*d^(1/m)) + b*n*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))*log(d)/((b^3*f*m^3*n^3*log(f*x + e) + b^3*f*m^2*n^3*log(d) + b^3*f*m^2*n^2*log(c) + a*b^2*f*m^2*n^2)*c^(1/(m*n))*d^(1/m)) + b*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))*log(c)/((b^3*f*m^3*n^3*log(f*x + e) + b^3*f*m^2*n^3*log(d) + b^3*f*m^2*n^2*log(c) + a*b^2*f*m^2*n^2)*c^(1/(m*n))*d^(1/m)) + a*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))/((b^3*f*m^3*n^3*log(f*x + e) + b^3*f*m^2*n^3*log(d) + b^3*f*m^2*n^2*log(c) + a*b^2*f*m^2*n^2)*c^(1/(m*n))*d^(1/m))","B",0
410,1,3481,0,0.449125," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^3,x, algorithm=""giac"")","-\frac{{\left(f x + e\right)} b^{2} m^{2} n^{2} \log\left(f x + e\right)}{2 \, {\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)}} + \frac{b^{2} m^{2} n^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)} \log\left(f x + e\right)^{2}}{2 \, {\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}} - \frac{{\left(f x + e\right)} b^{2} m^{2} n^{2}}{2 \, {\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)}} - \frac{{\left(f x + e\right)} b^{2} m n^{2} \log\left(d\right)}{2 \, {\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)}} + \frac{b^{2} m n^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)} \log\left(f x + e\right) \log\left(d\right)}{{\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}} - \frac{{\left(f x + e\right)} b^{2} m n \log\left(c\right)}{2 \, {\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)}} + \frac{b^{2} m n {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)} \log\left(f x + e\right) \log\left(c\right)}{{\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}} + \frac{b^{2} n^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)} \log\left(d\right)^{2}}{2 \, {\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}} - \frac{{\left(f x + e\right)} a b m n}{2 \, {\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)}} + \frac{a b m n {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)} \log\left(f x + e\right)}{{\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}} + \frac{b^{2} n {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)} \log\left(c\right) \log\left(d\right)}{{\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}} + \frac{b^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)} \log\left(c\right)^{2}}{2 \, {\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}} + \frac{a b n {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)} \log\left(d\right)}{{\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}} + \frac{a b {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)} \log\left(c\right)}{{\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}} + \frac{a^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{m} + \frac{\log\left(c\right)}{m n} + \frac{a}{b m n} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b m n}\right)}}{2 \, {\left(b^{5} f m^{5} n^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f m^{4} n^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f m^{4} n^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f m^{3} n^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f m^{4} n^{4} \log\left(f x + e\right) + 2 \, b^{5} f m^{3} n^{4} \log\left(c\right) \log\left(d\right) + b^{5} f m^{3} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f m^{3} n^{4} \log\left(d\right) + 2 \, a b^{4} f m^{3} n^{3} \log\left(c\right) + a^{2} b^{3} f m^{3} n^{3}\right)} c^{\frac{1}{m n}} d^{\left(\frac{1}{m}\right)}}"," ",0,"-1/2*(f*x + e)*b^2*m^2*n^2*log(f*x + e)/(b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3) + 1/2*b^2*m^2*n^2*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))*log(f*x + e)^2/((b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3)*c^(1/(m*n))*d^(1/m)) - 1/2*(f*x + e)*b^2*m^2*n^2/(b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3) - 1/2*(f*x + e)*b^2*m*n^2*log(d)/(b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3) + b^2*m*n^2*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))*log(f*x + e)*log(d)/((b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3)*c^(1/(m*n))*d^(1/m)) - 1/2*(f*x + e)*b^2*m*n*log(c)/(b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3) + b^2*m*n*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))*log(f*x + e)*log(c)/((b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3)*c^(1/(m*n))*d^(1/m)) + 1/2*b^2*n^2*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))*log(d)^2/((b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3)*c^(1/(m*n))*d^(1/m)) - 1/2*(f*x + e)*a*b*m*n/(b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3) + a*b*m*n*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))*log(f*x + e)/((b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3)*c^(1/(m*n))*d^(1/m)) + b^2*n*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))*log(c)*log(d)/((b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3)*c^(1/(m*n))*d^(1/m)) + 1/2*b^2*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))*log(c)^2/((b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3)*c^(1/(m*n))*d^(1/m)) + a*b*n*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))*log(d)/((b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3)*c^(1/(m*n))*d^(1/m)) + a*b*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))*log(c)/((b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3)*c^(1/(m*n))*d^(1/m)) + 1/2*a^2*Ei(log(d)/m + log(c)/(m*n) + a/(b*m*n) + log(f*x + e))*e^(-a/(b*m*n))/((b^5*f*m^5*n^5*log(f*x + e)^2 + 2*b^5*f*m^4*n^5*log(f*x + e)*log(d) + 2*b^5*f*m^4*n^4*log(f*x + e)*log(c) + b^5*f*m^3*n^5*log(d)^2 + 2*a*b^4*f*m^4*n^4*log(f*x + e) + 2*b^5*f*m^3*n^4*log(c)*log(d) + b^5*f*m^3*n^3*log(c)^2 + 2*a*b^4*f*m^3*n^4*log(d) + 2*a*b^4*f*m^3*n^3*log(c) + a^2*b^3*f*m^3*n^3)*c^(1/(m*n))*d^(1/m))","B",0
411,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^(5/2),x, algorithm=""giac"")","\int {\left(b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^m*d)^n*c) + a)^(5/2), x)","F",0
412,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^(3/2),x, algorithm=""giac"")","\int {\left(b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^m*d)^n*c) + a)^(3/2), x)","F",0
413,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^m*d)^n*c) + a), x)","F",0
414,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*log(((f*x + e)^m*d)^n*c) + a), x)","F",0
415,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^m*d)^n*c) + a)^(-3/2), x)","F",0
416,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^m*d)^n*c) + a)^(-5/2), x)","F",0
417,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^m)^n))^(7/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^m*d)^n*c) + a)^(-7/2), x)","F",0
418,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^m)^n))^p,x, algorithm=""giac"")","\int {\left(b \log\left(\left({\left(f x + e\right)}^{m} d\right)^{n} c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^m*d)^n*c) + a)^p, x)","F",0
419,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^(1/2))^(1/2)))^p,x, algorithm=""giac"")","\int {\left(b \log\left(\sqrt{\sqrt{f x + e} d} c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log(sqrt(sqrt(f*x + e)*d)*c) + a)^p, x)","F",0
420,1,1047,0,0.239636," ","integrate((h*x+g)^3*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b g^{3} p q \log\left(f x + e\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b g^{2} h p q \log\left(f x + e\right)}{2 \, f^{2}} + \frac{{\left(f x + e\right)}^{3} b g h^{2} p q \log\left(f x + e\right)}{f^{3}} + \frac{{\left(f x + e\right)}^{4} b h^{3} p q \log\left(f x + e\right)}{4 \, f^{4}} - \frac{3 \, {\left(f x + e\right)} b g^{2} h p q e \log\left(f x + e\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b g h^{2} p q e \log\left(f x + e\right)}{f^{3}} - \frac{{\left(f x + e\right)}^{3} b h^{3} p q e \log\left(f x + e\right)}{f^{4}} - \frac{{\left(f x + e\right)} b g^{3} p q}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b g^{2} h p q}{4 \, f^{2}} - \frac{{\left(f x + e\right)}^{3} b g h^{2} p q}{3 \, f^{3}} - \frac{{\left(f x + e\right)}^{4} b h^{3} p q}{16 \, f^{4}} + \frac{3 \, {\left(f x + e\right)} b g^{2} h p q e}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} b g h^{2} p q e}{2 \, f^{3}} + \frac{{\left(f x + e\right)}^{3} b h^{3} p q e}{3 \, f^{4}} + \frac{3 \, {\left(f x + e\right)} b g h^{2} p q e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} b h^{3} p q e^{2} \log\left(f x + e\right)}{2 \, f^{4}} + \frac{{\left(f x + e\right)} b g^{3} q \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b g^{2} h q \log\left(d\right)}{2 \, f^{2}} + \frac{{\left(f x + e\right)}^{3} b g h^{2} q \log\left(d\right)}{f^{3}} + \frac{{\left(f x + e\right)}^{4} b h^{3} q \log\left(d\right)}{4 \, f^{4}} - \frac{3 \, {\left(f x + e\right)} b g^{2} h q e \log\left(d\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b g h^{2} q e \log\left(d\right)}{f^{3}} - \frac{{\left(f x + e\right)}^{3} b h^{3} q e \log\left(d\right)}{f^{4}} - \frac{3 \, {\left(f x + e\right)} b g h^{2} p q e^{2}}{f^{3}} - \frac{3 \, {\left(f x + e\right)}^{2} b h^{3} p q e^{2}}{4 \, f^{4}} - \frac{{\left(f x + e\right)} b h^{3} p q e^{3} \log\left(f x + e\right)}{f^{4}} + \frac{{\left(f x + e\right)} b g^{3} \log\left(c\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b g^{2} h \log\left(c\right)}{2 \, f^{2}} + \frac{{\left(f x + e\right)}^{3} b g h^{2} \log\left(c\right)}{f^{3}} + \frac{{\left(f x + e\right)}^{4} b h^{3} \log\left(c\right)}{4 \, f^{4}} - \frac{3 \, {\left(f x + e\right)} b g^{2} h e \log\left(c\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b g h^{2} e \log\left(c\right)}{f^{3}} - \frac{{\left(f x + e\right)}^{3} b h^{3} e \log\left(c\right)}{f^{4}} + \frac{3 \, {\left(f x + e\right)} b g h^{2} q e^{2} \log\left(d\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} b h^{3} q e^{2} \log\left(d\right)}{2 \, f^{4}} + \frac{{\left(f x + e\right)} a g^{3}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a g^{2} h}{2 \, f^{2}} + \frac{{\left(f x + e\right)}^{3} a g h^{2}}{f^{3}} + \frac{{\left(f x + e\right)}^{4} a h^{3}}{4 \, f^{4}} + \frac{{\left(f x + e\right)} b h^{3} p q e^{3}}{f^{4}} - \frac{3 \, {\left(f x + e\right)} a g^{2} h e}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} a g h^{2} e}{f^{3}} - \frac{{\left(f x + e\right)}^{3} a h^{3} e}{f^{4}} + \frac{3 \, {\left(f x + e\right)} b g h^{2} e^{2} \log\left(c\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} b h^{3} e^{2} \log\left(c\right)}{2 \, f^{4}} - \frac{{\left(f x + e\right)} b h^{3} q e^{3} \log\left(d\right)}{f^{4}} + \frac{3 \, {\left(f x + e\right)} a g h^{2} e^{2}}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} a h^{3} e^{2}}{2 \, f^{4}} - \frac{{\left(f x + e\right)} b h^{3} e^{3} \log\left(c\right)}{f^{4}} - \frac{{\left(f x + e\right)} a h^{3} e^{3}}{f^{4}}"," ",0,"(f*x + e)*b*g^3*p*q*log(f*x + e)/f + 3/2*(f*x + e)^2*b*g^2*h*p*q*log(f*x + e)/f^2 + (f*x + e)^3*b*g*h^2*p*q*log(f*x + e)/f^3 + 1/4*(f*x + e)^4*b*h^3*p*q*log(f*x + e)/f^4 - 3*(f*x + e)*b*g^2*h*p*q*e*log(f*x + e)/f^2 - 3*(f*x + e)^2*b*g*h^2*p*q*e*log(f*x + e)/f^3 - (f*x + e)^3*b*h^3*p*q*e*log(f*x + e)/f^4 - (f*x + e)*b*g^3*p*q/f - 3/4*(f*x + e)^2*b*g^2*h*p*q/f^2 - 1/3*(f*x + e)^3*b*g*h^2*p*q/f^3 - 1/16*(f*x + e)^4*b*h^3*p*q/f^4 + 3*(f*x + e)*b*g^2*h*p*q*e/f^2 + 3/2*(f*x + e)^2*b*g*h^2*p*q*e/f^3 + 1/3*(f*x + e)^3*b*h^3*p*q*e/f^4 + 3*(f*x + e)*b*g*h^2*p*q*e^2*log(f*x + e)/f^3 + 3/2*(f*x + e)^2*b*h^3*p*q*e^2*log(f*x + e)/f^4 + (f*x + e)*b*g^3*q*log(d)/f + 3/2*(f*x + e)^2*b*g^2*h*q*log(d)/f^2 + (f*x + e)^3*b*g*h^2*q*log(d)/f^3 + 1/4*(f*x + e)^4*b*h^3*q*log(d)/f^4 - 3*(f*x + e)*b*g^2*h*q*e*log(d)/f^2 - 3*(f*x + e)^2*b*g*h^2*q*e*log(d)/f^3 - (f*x + e)^3*b*h^3*q*e*log(d)/f^4 - 3*(f*x + e)*b*g*h^2*p*q*e^2/f^3 - 3/4*(f*x + e)^2*b*h^3*p*q*e^2/f^4 - (f*x + e)*b*h^3*p*q*e^3*log(f*x + e)/f^4 + (f*x + e)*b*g^3*log(c)/f + 3/2*(f*x + e)^2*b*g^2*h*log(c)/f^2 + (f*x + e)^3*b*g*h^2*log(c)/f^3 + 1/4*(f*x + e)^4*b*h^3*log(c)/f^4 - 3*(f*x + e)*b*g^2*h*e*log(c)/f^2 - 3*(f*x + e)^2*b*g*h^2*e*log(c)/f^3 - (f*x + e)^3*b*h^3*e*log(c)/f^4 + 3*(f*x + e)*b*g*h^2*q*e^2*log(d)/f^3 + 3/2*(f*x + e)^2*b*h^3*q*e^2*log(d)/f^4 + (f*x + e)*a*g^3/f + 3/2*(f*x + e)^2*a*g^2*h/f^2 + (f*x + e)^3*a*g*h^2/f^3 + 1/4*(f*x + e)^4*a*h^3/f^4 + (f*x + e)*b*h^3*p*q*e^3/f^4 - 3*(f*x + e)*a*g^2*h*e/f^2 - 3*(f*x + e)^2*a*g*h^2*e/f^3 - (f*x + e)^3*a*h^3*e/f^4 + 3*(f*x + e)*b*g*h^2*e^2*log(c)/f^3 + 3/2*(f*x + e)^2*b*h^3*e^2*log(c)/f^4 - (f*x + e)*b*h^3*q*e^3*log(d)/f^4 + 3*(f*x + e)*a*g*h^2*e^2/f^3 + 3/2*(f*x + e)^2*a*h^3*e^2/f^4 - (f*x + e)*b*h^3*e^3*log(c)/f^4 - (f*x + e)*a*h^3*e^3/f^4","B",0
421,1,585,0,0.202821," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b g^{2} p q \log\left(f x + e\right)}{f} + \frac{{\left(f x + e\right)}^{2} b g h p q \log\left(f x + e\right)}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b h^{2} p q \log\left(f x + e\right)}{3 \, f^{3}} - \frac{2 \, {\left(f x + e\right)} b g h p q e \log\left(f x + e\right)}{f^{2}} - \frac{{\left(f x + e\right)}^{2} b h^{2} p q e \log\left(f x + e\right)}{f^{3}} - \frac{{\left(f x + e\right)} b g^{2} p q}{f} - \frac{{\left(f x + e\right)}^{2} b g h p q}{2 \, f^{2}} - \frac{{\left(f x + e\right)}^{3} b h^{2} p q}{9 \, f^{3}} + \frac{2 \, {\left(f x + e\right)} b g h p q e}{f^{2}} + \frac{{\left(f x + e\right)}^{2} b h^{2} p q e}{2 \, f^{3}} + \frac{{\left(f x + e\right)} b h^{2} p q e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{{\left(f x + e\right)} b g^{2} q \log\left(d\right)}{f} + \frac{{\left(f x + e\right)}^{2} b g h q \log\left(d\right)}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b h^{2} q \log\left(d\right)}{3 \, f^{3}} - \frac{2 \, {\left(f x + e\right)} b g h q e \log\left(d\right)}{f^{2}} - \frac{{\left(f x + e\right)}^{2} b h^{2} q e \log\left(d\right)}{f^{3}} - \frac{{\left(f x + e\right)} b h^{2} p q e^{2}}{f^{3}} + \frac{{\left(f x + e\right)} b g^{2} \log\left(c\right)}{f} + \frac{{\left(f x + e\right)}^{2} b g h \log\left(c\right)}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b h^{2} \log\left(c\right)}{3 \, f^{3}} - \frac{2 \, {\left(f x + e\right)} b g h e \log\left(c\right)}{f^{2}} - \frac{{\left(f x + e\right)}^{2} b h^{2} e \log\left(c\right)}{f^{3}} + \frac{{\left(f x + e\right)} b h^{2} q e^{2} \log\left(d\right)}{f^{3}} + \frac{{\left(f x + e\right)} a g^{2}}{f} + \frac{{\left(f x + e\right)}^{2} a g h}{f^{2}} + \frac{{\left(f x + e\right)}^{3} a h^{2}}{3 \, f^{3}} - \frac{2 \, {\left(f x + e\right)} a g h e}{f^{2}} - \frac{{\left(f x + e\right)}^{2} a h^{2} e}{f^{3}} + \frac{{\left(f x + e\right)} b h^{2} e^{2} \log\left(c\right)}{f^{3}} + \frac{{\left(f x + e\right)} a h^{2} e^{2}}{f^{3}}"," ",0,"(f*x + e)*b*g^2*p*q*log(f*x + e)/f + (f*x + e)^2*b*g*h*p*q*log(f*x + e)/f^2 + 1/3*(f*x + e)^3*b*h^2*p*q*log(f*x + e)/f^3 - 2*(f*x + e)*b*g*h*p*q*e*log(f*x + e)/f^2 - (f*x + e)^2*b*h^2*p*q*e*log(f*x + e)/f^3 - (f*x + e)*b*g^2*p*q/f - 1/2*(f*x + e)^2*b*g*h*p*q/f^2 - 1/9*(f*x + e)^3*b*h^2*p*q/f^3 + 2*(f*x + e)*b*g*h*p*q*e/f^2 + 1/2*(f*x + e)^2*b*h^2*p*q*e/f^3 + (f*x + e)*b*h^2*p*q*e^2*log(f*x + e)/f^3 + (f*x + e)*b*g^2*q*log(d)/f + (f*x + e)^2*b*g*h*q*log(d)/f^2 + 1/3*(f*x + e)^3*b*h^2*q*log(d)/f^3 - 2*(f*x + e)*b*g*h*q*e*log(d)/f^2 - (f*x + e)^2*b*h^2*q*e*log(d)/f^3 - (f*x + e)*b*h^2*p*q*e^2/f^3 + (f*x + e)*b*g^2*log(c)/f + (f*x + e)^2*b*g*h*log(c)/f^2 + 1/3*(f*x + e)^3*b*h^2*log(c)/f^3 - 2*(f*x + e)*b*g*h*e*log(c)/f^2 - (f*x + e)^2*b*h^2*e*log(c)/f^3 + (f*x + e)*b*h^2*q*e^2*log(d)/f^3 + (f*x + e)*a*g^2/f + (f*x + e)^2*a*g*h/f^2 + 1/3*(f*x + e)^3*a*h^2/f^3 - 2*(f*x + e)*a*g*h*e/f^2 - (f*x + e)^2*a*h^2*e/f^3 + (f*x + e)*b*h^2*e^2*log(c)/f^3 + (f*x + e)*a*h^2*e^2/f^3","B",0
422,1,259,0,0.199426," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b g p q \log\left(f x + e\right)}{f} + \frac{{\left(f x + e\right)}^{2} b h p q \log\left(f x + e\right)}{2 \, f^{2}} - \frac{{\left(f x + e\right)} b h p q e \log\left(f x + e\right)}{f^{2}} - \frac{{\left(f x + e\right)} b g p q}{f} - \frac{{\left(f x + e\right)}^{2} b h p q}{4 \, f^{2}} + \frac{{\left(f x + e\right)} b h p q e}{f^{2}} + \frac{{\left(f x + e\right)} b g q \log\left(d\right)}{f} + \frac{{\left(f x + e\right)}^{2} b h q \log\left(d\right)}{2 \, f^{2}} - \frac{{\left(f x + e\right)} b h q e \log\left(d\right)}{f^{2}} + \frac{{\left(f x + e\right)} b g \log\left(c\right)}{f} + \frac{{\left(f x + e\right)}^{2} b h \log\left(c\right)}{2 \, f^{2}} - \frac{{\left(f x + e\right)} b h e \log\left(c\right)}{f^{2}} + \frac{{\left(f x + e\right)} a g}{f} + \frac{{\left(f x + e\right)}^{2} a h}{2 \, f^{2}} - \frac{{\left(f x + e\right)} a h e}{f^{2}}"," ",0,"(f*x + e)*b*g*p*q*log(f*x + e)/f + 1/2*(f*x + e)^2*b*h*p*q*log(f*x + e)/f^2 - (f*x + e)*b*h*p*q*e*log(f*x + e)/f^2 - (f*x + e)*b*g*p*q/f - 1/4*(f*x + e)^2*b*h*p*q/f^2 + (f*x + e)*b*h*p*q*e/f^2 + (f*x + e)*b*g*q*log(d)/f + 1/2*(f*x + e)^2*b*h*q*log(d)/f^2 - (f*x + e)*b*h*q*e*log(d)/f^2 + (f*x + e)*b*g*log(c)/f + 1/2*(f*x + e)^2*b*h*log(c)/f^2 - (f*x + e)*b*h*e*log(c)/f^2 + (f*x + e)*a*g/f + 1/2*(f*x + e)^2*a*h/f^2 - (f*x + e)*a*h*e/f^2","B",0
423,1,64,0,0.160043," ","integrate(a+b*log(c*(d*(f*x+e)^p)^q),x, algorithm=""giac"")","{\left(\frac{{\left(f x + e\right)} p q \log\left(f x + e\right)}{f} - \frac{{\left(f x + e\right)} p q}{f} + \frac{{\left(f x + e\right)} q \log\left(d\right)}{f} + \frac{{\left(f x + e\right)} \log\left(c\right)}{f}\right)} b + a x"," ",0,"((f*x + e)*p*q*log(f*x + e)/f - (f*x + e)*p*q/f + (f*x + e)*q*log(d)/f + (f*x + e)*log(c)/f)*b + a*x","A",0
424,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""giac"")","\int \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{h x + g}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g), x)","F",0
425,1,129,0,0.172028," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^2,x, algorithm=""giac"")","\frac{b f h p q x \log\left(f x + e\right) - b f h p q x \log\left(h x + g\right) + b h p q e \log\left(f x + e\right) - b f g p q \log\left(h x + g\right) - b f g q \log\left(d\right) + b h q e \log\left(d\right) - b f g \log\left(c\right) + b h e \log\left(c\right) - a f g + a h e}{f g h^{2} x - h^{3} x e + f g^{2} h - g h^{2} e}"," ",0,"(b*f*h*p*q*x*log(f*x + e) - b*f*h*p*q*x*log(h*x + g) + b*h*p*q*e*log(f*x + e) - b*f*g*p*q*log(h*x + g) - b*f*g*q*log(d) + b*h*q*e*log(d) - b*f*g*log(c) + b*h*e*log(c) - a*f*g + a*h*e)/(f*g*h^2*x - h^3*x*e + f*g^2*h - g*h^2*e)","A",0
426,1,359,0,0.181427," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^3,x, algorithm=""giac"")","\frac{b f^{2} h^{2} p q x^{2} \log\left(f x + e\right) - b f^{2} h^{2} p q x^{2} \log\left(h x + g\right) + 2 \, b f^{2} g h p q x \log\left(f x + e\right) - 2 \, b f^{2} g h p q x \log\left(h x + g\right) + b f^{2} g h p q x - b f h^{2} p q x e + 2 \, b f g h p q e \log\left(f x + e\right) - b f^{2} g^{2} p q \log\left(h x + g\right) + b f^{2} g^{2} p q - b f g h p q e - b h^{2} p q e^{2} \log\left(f x + e\right) - b f^{2} g^{2} q \log\left(d\right) + 2 \, b f g h q e \log\left(d\right) - b f^{2} g^{2} \log\left(c\right) + 2 \, b f g h e \log\left(c\right) - b h^{2} q e^{2} \log\left(d\right) - a f^{2} g^{2} + 2 \, a f g h e - b h^{2} e^{2} \log\left(c\right) - a h^{2} e^{2}}{2 \, {\left(f^{2} g^{2} h^{3} x^{2} - 2 \, f g h^{4} x^{2} e + 2 \, f^{2} g^{3} h^{2} x + h^{5} x^{2} e^{2} - 4 \, f g^{2} h^{3} x e + f^{2} g^{4} h + 2 \, g h^{4} x e^{2} - 2 \, f g^{3} h^{2} e + g^{2} h^{3} e^{2}\right)}}"," ",0,"1/2*(b*f^2*h^2*p*q*x^2*log(f*x + e) - b*f^2*h^2*p*q*x^2*log(h*x + g) + 2*b*f^2*g*h*p*q*x*log(f*x + e) - 2*b*f^2*g*h*p*q*x*log(h*x + g) + b*f^2*g*h*p*q*x - b*f*h^2*p*q*x*e + 2*b*f*g*h*p*q*e*log(f*x + e) - b*f^2*g^2*p*q*log(h*x + g) + b*f^2*g^2*p*q - b*f*g*h*p*q*e - b*h^2*p*q*e^2*log(f*x + e) - b*f^2*g^2*q*log(d) + 2*b*f*g*h*q*e*log(d) - b*f^2*g^2*log(c) + 2*b*f*g*h*e*log(c) - b*h^2*q*e^2*log(d) - a*f^2*g^2 + 2*a*f*g*h*e - b*h^2*e^2*log(c) - a*h^2*e^2)/(f^2*g^2*h^3*x^2 - 2*f*g*h^4*x^2*e + 2*f^2*g^3*h^2*x + h^5*x^2*e^2 - 4*f*g^2*h^3*x*e + f^2*g^4*h + 2*g*h^4*x*e^2 - 2*f*g^3*h^2*e + g^2*h^3*e^2)","B",0
427,1,643,0,0.204185," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^4,x, algorithm=""giac"")","\frac{2 \, b f^{3} h^{3} p q x^{3} \log\left(f x + e\right) - 2 \, b f^{3} h^{3} p q x^{3} \log\left(h x + g\right) + 6 \, b f^{3} g h^{2} p q x^{2} \log\left(f x + e\right) - 6 \, b f^{3} g h^{2} p q x^{2} \log\left(h x + g\right) + 2 \, b f^{3} g h^{2} p q x^{2} - 2 \, b f^{2} h^{3} p q x^{2} e + 6 \, b f^{3} g^{2} h p q x \log\left(f x + e\right) - 6 \, b f^{3} g^{2} h p q x \log\left(h x + g\right) + 5 \, b f^{3} g^{2} h p q x - 6 \, b f^{2} g h^{2} p q x e + 6 \, b f^{2} g^{2} h p q e \log\left(f x + e\right) - 2 \, b f^{3} g^{3} p q \log\left(h x + g\right) + 3 \, b f^{3} g^{3} p q + b f h^{3} p q x e^{2} - 4 \, b f^{2} g^{2} h p q e - 6 \, b f g h^{2} p q e^{2} \log\left(f x + e\right) - 2 \, b f^{3} g^{3} q \log\left(d\right) + 6 \, b f^{2} g^{2} h q e \log\left(d\right) + b f g h^{2} p q e^{2} + 2 \, b h^{3} p q e^{3} \log\left(f x + e\right) - 2 \, b f^{3} g^{3} \log\left(c\right) + 6 \, b f^{2} g^{2} h e \log\left(c\right) - 6 \, b f g h^{2} q e^{2} \log\left(d\right) - 2 \, a f^{3} g^{3} + 6 \, a f^{2} g^{2} h e - 6 \, b f g h^{2} e^{2} \log\left(c\right) + 2 \, b h^{3} q e^{3} \log\left(d\right) - 6 \, a f g h^{2} e^{2} + 2 \, b h^{3} e^{3} \log\left(c\right) + 2 \, a h^{3} e^{3}}{6 \, {\left(f^{3} g^{3} h^{4} x^{3} - 3 \, f^{2} g^{2} h^{5} x^{3} e + 3 \, f^{3} g^{4} h^{3} x^{2} + 3 \, f g h^{6} x^{3} e^{2} - 9 \, f^{2} g^{3} h^{4} x^{2} e + 3 \, f^{3} g^{5} h^{2} x - h^{7} x^{3} e^{3} + 9 \, f g^{2} h^{5} x^{2} e^{2} - 9 \, f^{2} g^{4} h^{3} x e + f^{3} g^{6} h - 3 \, g h^{6} x^{2} e^{3} + 9 \, f g^{3} h^{4} x e^{2} - 3 \, f^{2} g^{5} h^{2} e - 3 \, g^{2} h^{5} x e^{3} + 3 \, f g^{4} h^{3} e^{2} - g^{3} h^{4} e^{3}\right)}}"," ",0,"1/6*(2*b*f^3*h^3*p*q*x^3*log(f*x + e) - 2*b*f^3*h^3*p*q*x^3*log(h*x + g) + 6*b*f^3*g*h^2*p*q*x^2*log(f*x + e) - 6*b*f^3*g*h^2*p*q*x^2*log(h*x + g) + 2*b*f^3*g*h^2*p*q*x^2 - 2*b*f^2*h^3*p*q*x^2*e + 6*b*f^3*g^2*h*p*q*x*log(f*x + e) - 6*b*f^3*g^2*h*p*q*x*log(h*x + g) + 5*b*f^3*g^2*h*p*q*x - 6*b*f^2*g*h^2*p*q*x*e + 6*b*f^2*g^2*h*p*q*e*log(f*x + e) - 2*b*f^3*g^3*p*q*log(h*x + g) + 3*b*f^3*g^3*p*q + b*f*h^3*p*q*x*e^2 - 4*b*f^2*g^2*h*p*q*e - 6*b*f*g*h^2*p*q*e^2*log(f*x + e) - 2*b*f^3*g^3*q*log(d) + 6*b*f^2*g^2*h*q*e*log(d) + b*f*g*h^2*p*q*e^2 + 2*b*h^3*p*q*e^3*log(f*x + e) - 2*b*f^3*g^3*log(c) + 6*b*f^2*g^2*h*e*log(c) - 6*b*f*g*h^2*q*e^2*log(d) - 2*a*f^3*g^3 + 6*a*f^2*g^2*h*e - 6*b*f*g*h^2*e^2*log(c) + 2*b*h^3*q*e^3*log(d) - 6*a*f*g*h^2*e^2 + 2*b*h^3*e^3*log(c) + 2*a*h^3*e^3)/(f^3*g^3*h^4*x^3 - 3*f^2*g^2*h^5*x^3*e + 3*f^3*g^4*h^3*x^2 + 3*f*g*h^6*x^3*e^2 - 9*f^2*g^3*h^4*x^2*e + 3*f^3*g^5*h^2*x - h^7*x^3*e^3 + 9*f*g^2*h^5*x^2*e^2 - 9*f^2*g^4*h^3*x*e + f^3*g^6*h - 3*g*h^6*x^2*e^3 + 9*f*g^3*h^4*x*e^2 - 3*f^2*g^5*h^2*e - 3*g^2*h^5*x*e^3 + 3*f*g^4*h^3*e^2 - g^3*h^4*e^3)","B",0
428,1,3938,0,0.487186," ","integrate((h*x+g)^3*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b^{2} g^{3} p^{2} q^{2} \log\left(f x + e\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g^{2} h p^{2} q^{2} \log\left(f x + e\right)^{2}}{2 \, f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{2} g h^{2} p^{2} q^{2} \log\left(f x + e\right)^{2}}{f^{3}} + \frac{{\left(f x + e\right)}^{4} b^{2} h^{3} p^{2} q^{2} \log\left(f x + e\right)^{2}}{4 \, f^{4}} - \frac{3 \, {\left(f x + e\right)} b^{2} g^{2} h p^{2} q^{2} e \log\left(f x + e\right)^{2}}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g h^{2} p^{2} q^{2} e \log\left(f x + e\right)^{2}}{f^{3}} - \frac{{\left(f x + e\right)}^{3} b^{2} h^{3} p^{2} q^{2} e \log\left(f x + e\right)^{2}}{f^{4}} - \frac{2 \, {\left(f x + e\right)} b^{2} g^{3} p^{2} q^{2} \log\left(f x + e\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g^{2} h p^{2} q^{2} \log\left(f x + e\right)}{2 \, f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{2} g h^{2} p^{2} q^{2} \log\left(f x + e\right)}{3 \, f^{3}} - \frac{{\left(f x + e\right)}^{4} b^{2} h^{3} p^{2} q^{2} \log\left(f x + e\right)}{8 \, f^{4}} + \frac{6 \, {\left(f x + e\right)} b^{2} g^{2} h p^{2} q^{2} e \log\left(f x + e\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g h^{2} p^{2} q^{2} e \log\left(f x + e\right)}{f^{3}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{3} p^{2} q^{2} e \log\left(f x + e\right)}{3 \, f^{4}} + \frac{3 \, {\left(f x + e\right)} b^{2} g h^{2} p^{2} q^{2} e^{2} \log\left(f x + e\right)^{2}}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} h^{3} p^{2} q^{2} e^{2} \log\left(f x + e\right)^{2}}{2 \, f^{4}} + \frac{2 \, {\left(f x + e\right)} b^{2} g^{3} p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g^{2} h p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{2} g h^{2} p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f^{3}} + \frac{{\left(f x + e\right)}^{4} b^{2} h^{3} p q^{2} \log\left(f x + e\right) \log\left(d\right)}{2 \, f^{4}} - \frac{6 \, {\left(f x + e\right)} b^{2} g^{2} h p q^{2} e \log\left(f x + e\right) \log\left(d\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)}^{2} b^{2} g h^{2} p q^{2} e \log\left(f x + e\right) \log\left(d\right)}{f^{3}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{3} p q^{2} e \log\left(f x + e\right) \log\left(d\right)}{f^{4}} + \frac{2 \, {\left(f x + e\right)} b^{2} g^{3} p^{2} q^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g^{2} h p^{2} q^{2}}{4 \, f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{2} g h^{2} p^{2} q^{2}}{9 \, f^{3}} + \frac{{\left(f x + e\right)}^{4} b^{2} h^{3} p^{2} q^{2}}{32 \, f^{4}} - \frac{6 \, {\left(f x + e\right)} b^{2} g^{2} h p^{2} q^{2} e}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g h^{2} p^{2} q^{2} e}{2 \, f^{3}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{3} p^{2} q^{2} e}{9 \, f^{4}} - \frac{6 \, {\left(f x + e\right)} b^{2} g h^{2} p^{2} q^{2} e^{2} \log\left(f x + e\right)}{f^{3}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{2} h^{3} p^{2} q^{2} e^{2} \log\left(f x + e\right)}{2 \, f^{4}} - \frac{{\left(f x + e\right)} b^{2} h^{3} p^{2} q^{2} e^{3} \log\left(f x + e\right)^{2}}{f^{4}} + \frac{2 \, {\left(f x + e\right)} b^{2} g^{3} p q \log\left(f x + e\right) \log\left(c\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g^{2} h p q \log\left(f x + e\right) \log\left(c\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{2} g h^{2} p q \log\left(f x + e\right) \log\left(c\right)}{f^{3}} + \frac{{\left(f x + e\right)}^{4} b^{2} h^{3} p q \log\left(f x + e\right) \log\left(c\right)}{2 \, f^{4}} - \frac{6 \, {\left(f x + e\right)} b^{2} g^{2} h p q e \log\left(f x + e\right) \log\left(c\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)}^{2} b^{2} g h^{2} p q e \log\left(f x + e\right) \log\left(c\right)}{f^{3}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{3} p q e \log\left(f x + e\right) \log\left(c\right)}{f^{4}} - \frac{2 \, {\left(f x + e\right)} b^{2} g^{3} p q^{2} \log\left(d\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g^{2} h p q^{2} \log\left(d\right)}{2 \, f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{2} g h^{2} p q^{2} \log\left(d\right)}{3 \, f^{3}} - \frac{{\left(f x + e\right)}^{4} b^{2} h^{3} p q^{2} \log\left(d\right)}{8 \, f^{4}} + \frac{6 \, {\left(f x + e\right)} b^{2} g^{2} h p q^{2} e \log\left(d\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g h^{2} p q^{2} e \log\left(d\right)}{f^{3}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{3} p q^{2} e \log\left(d\right)}{3 \, f^{4}} + \frac{6 \, {\left(f x + e\right)} b^{2} g h^{2} p q^{2} e^{2} \log\left(f x + e\right) \log\left(d\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} h^{3} p q^{2} e^{2} \log\left(f x + e\right) \log\left(d\right)}{f^{4}} + \frac{{\left(f x + e\right)} b^{2} g^{3} q^{2} \log\left(d\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g^{2} h q^{2} \log\left(d\right)^{2}}{2 \, f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{2} g h^{2} q^{2} \log\left(d\right)^{2}}{f^{3}} + \frac{{\left(f x + e\right)}^{4} b^{2} h^{3} q^{2} \log\left(d\right)^{2}}{4 \, f^{4}} - \frac{3 \, {\left(f x + e\right)} b^{2} g^{2} h q^{2} e \log\left(d\right)^{2}}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g h^{2} q^{2} e \log\left(d\right)^{2}}{f^{3}} - \frac{{\left(f x + e\right)}^{3} b^{2} h^{3} q^{2} e \log\left(d\right)^{2}}{f^{4}} + \frac{6 \, {\left(f x + e\right)} b^{2} g h^{2} p^{2} q^{2} e^{2}}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} h^{3} p^{2} q^{2} e^{2}}{4 \, f^{4}} + \frac{2 \, {\left(f x + e\right)} a b g^{3} p q \log\left(f x + e\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b g^{2} h p q \log\left(f x + e\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} a b g h^{2} p q \log\left(f x + e\right)}{f^{3}} + \frac{{\left(f x + e\right)}^{4} a b h^{3} p q \log\left(f x + e\right)}{2 \, f^{4}} + \frac{2 \, {\left(f x + e\right)} b^{2} h^{3} p^{2} q^{2} e^{3} \log\left(f x + e\right)}{f^{4}} - \frac{6 \, {\left(f x + e\right)} a b g^{2} h p q e \log\left(f x + e\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)}^{2} a b g h^{2} p q e \log\left(f x + e\right)}{f^{3}} - \frac{2 \, {\left(f x + e\right)}^{3} a b h^{3} p q e \log\left(f x + e\right)}{f^{4}} - \frac{2 \, {\left(f x + e\right)} b^{2} g^{3} p q \log\left(c\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g^{2} h p q \log\left(c\right)}{2 \, f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{2} g h^{2} p q \log\left(c\right)}{3 \, f^{3}} - \frac{{\left(f x + e\right)}^{4} b^{2} h^{3} p q \log\left(c\right)}{8 \, f^{4}} + \frac{6 \, {\left(f x + e\right)} b^{2} g^{2} h p q e \log\left(c\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g h^{2} p q e \log\left(c\right)}{f^{3}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{3} p q e \log\left(c\right)}{3 \, f^{4}} + \frac{6 \, {\left(f x + e\right)} b^{2} g h^{2} p q e^{2} \log\left(f x + e\right) \log\left(c\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} h^{3} p q e^{2} \log\left(f x + e\right) \log\left(c\right)}{f^{4}} - \frac{6 \, {\left(f x + e\right)} b^{2} g h^{2} p q^{2} e^{2} \log\left(d\right)}{f^{3}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{2} h^{3} p q^{2} e^{2} \log\left(d\right)}{2 \, f^{4}} - \frac{2 \, {\left(f x + e\right)} b^{2} h^{3} p q^{2} e^{3} \log\left(f x + e\right) \log\left(d\right)}{f^{4}} + \frac{2 \, {\left(f x + e\right)} b^{2} g^{3} q \log\left(c\right) \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g^{2} h q \log\left(c\right) \log\left(d\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{2} g h^{2} q \log\left(c\right) \log\left(d\right)}{f^{3}} + \frac{{\left(f x + e\right)}^{4} b^{2} h^{3} q \log\left(c\right) \log\left(d\right)}{2 \, f^{4}} - \frac{6 \, {\left(f x + e\right)} b^{2} g^{2} h q e \log\left(c\right) \log\left(d\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)}^{2} b^{2} g h^{2} q e \log\left(c\right) \log\left(d\right)}{f^{3}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{3} q e \log\left(c\right) \log\left(d\right)}{f^{4}} + \frac{3 \, {\left(f x + e\right)} b^{2} g h^{2} q^{2} e^{2} \log\left(d\right)^{2}}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} h^{3} q^{2} e^{2} \log\left(d\right)^{2}}{2 \, f^{4}} - \frac{2 \, {\left(f x + e\right)} a b g^{3} p q}{f} - \frac{3 \, {\left(f x + e\right)}^{2} a b g^{2} h p q}{2 \, f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} a b g h^{2} p q}{3 \, f^{3}} - \frac{{\left(f x + e\right)}^{4} a b h^{3} p q}{8 \, f^{4}} - \frac{2 \, {\left(f x + e\right)} b^{2} h^{3} p^{2} q^{2} e^{3}}{f^{4}} + \frac{6 \, {\left(f x + e\right)} a b g^{2} h p q e}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} a b g h^{2} p q e}{f^{3}} + \frac{2 \, {\left(f x + e\right)}^{3} a b h^{3} p q e}{3 \, f^{4}} + \frac{6 \, {\left(f x + e\right)} a b g h^{2} p q e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} a b h^{3} p q e^{2} \log\left(f x + e\right)}{f^{4}} - \frac{6 \, {\left(f x + e\right)} b^{2} g h^{2} p q e^{2} \log\left(c\right)}{f^{3}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{2} h^{3} p q e^{2} \log\left(c\right)}{2 \, f^{4}} - \frac{2 \, {\left(f x + e\right)} b^{2} h^{3} p q e^{3} \log\left(f x + e\right) \log\left(c\right)}{f^{4}} + \frac{{\left(f x + e\right)} b^{2} g^{3} \log\left(c\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g^{2} h \log\left(c\right)^{2}}{2 \, f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{2} g h^{2} \log\left(c\right)^{2}}{f^{3}} + \frac{{\left(f x + e\right)}^{4} b^{2} h^{3} \log\left(c\right)^{2}}{4 \, f^{4}} - \frac{3 \, {\left(f x + e\right)} b^{2} g^{2} h e \log\left(c\right)^{2}}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{2} g h^{2} e \log\left(c\right)^{2}}{f^{3}} - \frac{{\left(f x + e\right)}^{3} b^{2} h^{3} e \log\left(c\right)^{2}}{f^{4}} + \frac{2 \, {\left(f x + e\right)} a b g^{3} q \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b g^{2} h q \log\left(d\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} a b g h^{2} q \log\left(d\right)}{f^{3}} + \frac{{\left(f x + e\right)}^{4} a b h^{3} q \log\left(d\right)}{2 \, f^{4}} + \frac{2 \, {\left(f x + e\right)} b^{2} h^{3} p q^{2} e^{3} \log\left(d\right)}{f^{4}} - \frac{6 \, {\left(f x + e\right)} a b g^{2} h q e \log\left(d\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)}^{2} a b g h^{2} q e \log\left(d\right)}{f^{3}} - \frac{2 \, {\left(f x + e\right)}^{3} a b h^{3} q e \log\left(d\right)}{f^{4}} + \frac{6 \, {\left(f x + e\right)} b^{2} g h^{2} q e^{2} \log\left(c\right) \log\left(d\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} h^{3} q e^{2} \log\left(c\right) \log\left(d\right)}{f^{4}} - \frac{{\left(f x + e\right)} b^{2} h^{3} q^{2} e^{3} \log\left(d\right)^{2}}{f^{4}} - \frac{6 \, {\left(f x + e\right)} a b g h^{2} p q e^{2}}{f^{3}} - \frac{3 \, {\left(f x + e\right)}^{2} a b h^{3} p q e^{2}}{2 \, f^{4}} - \frac{2 \, {\left(f x + e\right)} a b h^{3} p q e^{3} \log\left(f x + e\right)}{f^{4}} + \frac{2 \, {\left(f x + e\right)} a b g^{3} \log\left(c\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b g^{2} h \log\left(c\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} a b g h^{2} \log\left(c\right)}{f^{3}} + \frac{{\left(f x + e\right)}^{4} a b h^{3} \log\left(c\right)}{2 \, f^{4}} + \frac{2 \, {\left(f x + e\right)} b^{2} h^{3} p q e^{3} \log\left(c\right)}{f^{4}} - \frac{6 \, {\left(f x + e\right)} a b g^{2} h e \log\left(c\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)}^{2} a b g h^{2} e \log\left(c\right)}{f^{3}} - \frac{2 \, {\left(f x + e\right)}^{3} a b h^{3} e \log\left(c\right)}{f^{4}} + \frac{3 \, {\left(f x + e\right)} b^{2} g h^{2} e^{2} \log\left(c\right)^{2}}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{2} h^{3} e^{2} \log\left(c\right)^{2}}{2 \, f^{4}} + \frac{6 \, {\left(f x + e\right)} a b g h^{2} q e^{2} \log\left(d\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} a b h^{3} q e^{2} \log\left(d\right)}{f^{4}} - \frac{2 \, {\left(f x + e\right)} b^{2} h^{3} q e^{3} \log\left(c\right) \log\left(d\right)}{f^{4}} + \frac{{\left(f x + e\right)} a^{2} g^{3}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a^{2} g^{2} h}{2 \, f^{2}} + \frac{{\left(f x + e\right)}^{3} a^{2} g h^{2}}{f^{3}} + \frac{{\left(f x + e\right)}^{4} a^{2} h^{3}}{4 \, f^{4}} + \frac{2 \, {\left(f x + e\right)} a b h^{3} p q e^{3}}{f^{4}} - \frac{3 \, {\left(f x + e\right)} a^{2} g^{2} h e}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} a^{2} g h^{2} e}{f^{3}} - \frac{{\left(f x + e\right)}^{3} a^{2} h^{3} e}{f^{4}} + \frac{6 \, {\left(f x + e\right)} a b g h^{2} e^{2} \log\left(c\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} a b h^{3} e^{2} \log\left(c\right)}{f^{4}} - \frac{{\left(f x + e\right)} b^{2} h^{3} e^{3} \log\left(c\right)^{2}}{f^{4}} - \frac{2 \, {\left(f x + e\right)} a b h^{3} q e^{3} \log\left(d\right)}{f^{4}} + \frac{3 \, {\left(f x + e\right)} a^{2} g h^{2} e^{2}}{f^{3}} + \frac{3 \, {\left(f x + e\right)}^{2} a^{2} h^{3} e^{2}}{2 \, f^{4}} - \frac{2 \, {\left(f x + e\right)} a b h^{3} e^{3} \log\left(c\right)}{f^{4}} - \frac{{\left(f x + e\right)} a^{2} h^{3} e^{3}}{f^{4}}"," ",0,"(f*x + e)*b^2*g^3*p^2*q^2*log(f*x + e)^2/f + 3/2*(f*x + e)^2*b^2*g^2*h*p^2*q^2*log(f*x + e)^2/f^2 + (f*x + e)^3*b^2*g*h^2*p^2*q^2*log(f*x + e)^2/f^3 + 1/4*(f*x + e)^4*b^2*h^3*p^2*q^2*log(f*x + e)^2/f^4 - 3*(f*x + e)*b^2*g^2*h*p^2*q^2*e*log(f*x + e)^2/f^2 - 3*(f*x + e)^2*b^2*g*h^2*p^2*q^2*e*log(f*x + e)^2/f^3 - (f*x + e)^3*b^2*h^3*p^2*q^2*e*log(f*x + e)^2/f^4 - 2*(f*x + e)*b^2*g^3*p^2*q^2*log(f*x + e)/f - 3/2*(f*x + e)^2*b^2*g^2*h*p^2*q^2*log(f*x + e)/f^2 - 2/3*(f*x + e)^3*b^2*g*h^2*p^2*q^2*log(f*x + e)/f^3 - 1/8*(f*x + e)^4*b^2*h^3*p^2*q^2*log(f*x + e)/f^4 + 6*(f*x + e)*b^2*g^2*h*p^2*q^2*e*log(f*x + e)/f^2 + 3*(f*x + e)^2*b^2*g*h^2*p^2*q^2*e*log(f*x + e)/f^3 + 2/3*(f*x + e)^3*b^2*h^3*p^2*q^2*e*log(f*x + e)/f^4 + 3*(f*x + e)*b^2*g*h^2*p^2*q^2*e^2*log(f*x + e)^2/f^3 + 3/2*(f*x + e)^2*b^2*h^3*p^2*q^2*e^2*log(f*x + e)^2/f^4 + 2*(f*x + e)*b^2*g^3*p*q^2*log(f*x + e)*log(d)/f + 3*(f*x + e)^2*b^2*g^2*h*p*q^2*log(f*x + e)*log(d)/f^2 + 2*(f*x + e)^3*b^2*g*h^2*p*q^2*log(f*x + e)*log(d)/f^3 + 1/2*(f*x + e)^4*b^2*h^3*p*q^2*log(f*x + e)*log(d)/f^4 - 6*(f*x + e)*b^2*g^2*h*p*q^2*e*log(f*x + e)*log(d)/f^2 - 6*(f*x + e)^2*b^2*g*h^2*p*q^2*e*log(f*x + e)*log(d)/f^3 - 2*(f*x + e)^3*b^2*h^3*p*q^2*e*log(f*x + e)*log(d)/f^4 + 2*(f*x + e)*b^2*g^3*p^2*q^2/f + 3/4*(f*x + e)^2*b^2*g^2*h*p^2*q^2/f^2 + 2/9*(f*x + e)^3*b^2*g*h^2*p^2*q^2/f^3 + 1/32*(f*x + e)^4*b^2*h^3*p^2*q^2/f^4 - 6*(f*x + e)*b^2*g^2*h*p^2*q^2*e/f^2 - 3/2*(f*x + e)^2*b^2*g*h^2*p^2*q^2*e/f^3 - 2/9*(f*x + e)^3*b^2*h^3*p^2*q^2*e/f^4 - 6*(f*x + e)*b^2*g*h^2*p^2*q^2*e^2*log(f*x + e)/f^3 - 3/2*(f*x + e)^2*b^2*h^3*p^2*q^2*e^2*log(f*x + e)/f^4 - (f*x + e)*b^2*h^3*p^2*q^2*e^3*log(f*x + e)^2/f^4 + 2*(f*x + e)*b^2*g^3*p*q*log(f*x + e)*log(c)/f + 3*(f*x + e)^2*b^2*g^2*h*p*q*log(f*x + e)*log(c)/f^2 + 2*(f*x + e)^3*b^2*g*h^2*p*q*log(f*x + e)*log(c)/f^3 + 1/2*(f*x + e)^4*b^2*h^3*p*q*log(f*x + e)*log(c)/f^4 - 6*(f*x + e)*b^2*g^2*h*p*q*e*log(f*x + e)*log(c)/f^2 - 6*(f*x + e)^2*b^2*g*h^2*p*q*e*log(f*x + e)*log(c)/f^3 - 2*(f*x + e)^3*b^2*h^3*p*q*e*log(f*x + e)*log(c)/f^4 - 2*(f*x + e)*b^2*g^3*p*q^2*log(d)/f - 3/2*(f*x + e)^2*b^2*g^2*h*p*q^2*log(d)/f^2 - 2/3*(f*x + e)^3*b^2*g*h^2*p*q^2*log(d)/f^3 - 1/8*(f*x + e)^4*b^2*h^3*p*q^2*log(d)/f^4 + 6*(f*x + e)*b^2*g^2*h*p*q^2*e*log(d)/f^2 + 3*(f*x + e)^2*b^2*g*h^2*p*q^2*e*log(d)/f^3 + 2/3*(f*x + e)^3*b^2*h^3*p*q^2*e*log(d)/f^4 + 6*(f*x + e)*b^2*g*h^2*p*q^2*e^2*log(f*x + e)*log(d)/f^3 + 3*(f*x + e)^2*b^2*h^3*p*q^2*e^2*log(f*x + e)*log(d)/f^4 + (f*x + e)*b^2*g^3*q^2*log(d)^2/f + 3/2*(f*x + e)^2*b^2*g^2*h*q^2*log(d)^2/f^2 + (f*x + e)^3*b^2*g*h^2*q^2*log(d)^2/f^3 + 1/4*(f*x + e)^4*b^2*h^3*q^2*log(d)^2/f^4 - 3*(f*x + e)*b^2*g^2*h*q^2*e*log(d)^2/f^2 - 3*(f*x + e)^2*b^2*g*h^2*q^2*e*log(d)^2/f^3 - (f*x + e)^3*b^2*h^3*q^2*e*log(d)^2/f^4 + 6*(f*x + e)*b^2*g*h^2*p^2*q^2*e^2/f^3 + 3/4*(f*x + e)^2*b^2*h^3*p^2*q^2*e^2/f^4 + 2*(f*x + e)*a*b*g^3*p*q*log(f*x + e)/f + 3*(f*x + e)^2*a*b*g^2*h*p*q*log(f*x + e)/f^2 + 2*(f*x + e)^3*a*b*g*h^2*p*q*log(f*x + e)/f^3 + 1/2*(f*x + e)^4*a*b*h^3*p*q*log(f*x + e)/f^4 + 2*(f*x + e)*b^2*h^3*p^2*q^2*e^3*log(f*x + e)/f^4 - 6*(f*x + e)*a*b*g^2*h*p*q*e*log(f*x + e)/f^2 - 6*(f*x + e)^2*a*b*g*h^2*p*q*e*log(f*x + e)/f^3 - 2*(f*x + e)^3*a*b*h^3*p*q*e*log(f*x + e)/f^4 - 2*(f*x + e)*b^2*g^3*p*q*log(c)/f - 3/2*(f*x + e)^2*b^2*g^2*h*p*q*log(c)/f^2 - 2/3*(f*x + e)^3*b^2*g*h^2*p*q*log(c)/f^3 - 1/8*(f*x + e)^4*b^2*h^3*p*q*log(c)/f^4 + 6*(f*x + e)*b^2*g^2*h*p*q*e*log(c)/f^2 + 3*(f*x + e)^2*b^2*g*h^2*p*q*e*log(c)/f^3 + 2/3*(f*x + e)^3*b^2*h^3*p*q*e*log(c)/f^4 + 6*(f*x + e)*b^2*g*h^2*p*q*e^2*log(f*x + e)*log(c)/f^3 + 3*(f*x + e)^2*b^2*h^3*p*q*e^2*log(f*x + e)*log(c)/f^4 - 6*(f*x + e)*b^2*g*h^2*p*q^2*e^2*log(d)/f^3 - 3/2*(f*x + e)^2*b^2*h^3*p*q^2*e^2*log(d)/f^4 - 2*(f*x + e)*b^2*h^3*p*q^2*e^3*log(f*x + e)*log(d)/f^4 + 2*(f*x + e)*b^2*g^3*q*log(c)*log(d)/f + 3*(f*x + e)^2*b^2*g^2*h*q*log(c)*log(d)/f^2 + 2*(f*x + e)^3*b^2*g*h^2*q*log(c)*log(d)/f^3 + 1/2*(f*x + e)^4*b^2*h^3*q*log(c)*log(d)/f^4 - 6*(f*x + e)*b^2*g^2*h*q*e*log(c)*log(d)/f^2 - 6*(f*x + e)^2*b^2*g*h^2*q*e*log(c)*log(d)/f^3 - 2*(f*x + e)^3*b^2*h^3*q*e*log(c)*log(d)/f^4 + 3*(f*x + e)*b^2*g*h^2*q^2*e^2*log(d)^2/f^3 + 3/2*(f*x + e)^2*b^2*h^3*q^2*e^2*log(d)^2/f^4 - 2*(f*x + e)*a*b*g^3*p*q/f - 3/2*(f*x + e)^2*a*b*g^2*h*p*q/f^2 - 2/3*(f*x + e)^3*a*b*g*h^2*p*q/f^3 - 1/8*(f*x + e)^4*a*b*h^3*p*q/f^4 - 2*(f*x + e)*b^2*h^3*p^2*q^2*e^3/f^4 + 6*(f*x + e)*a*b*g^2*h*p*q*e/f^2 + 3*(f*x + e)^2*a*b*g*h^2*p*q*e/f^3 + 2/3*(f*x + e)^3*a*b*h^3*p*q*e/f^4 + 6*(f*x + e)*a*b*g*h^2*p*q*e^2*log(f*x + e)/f^3 + 3*(f*x + e)^2*a*b*h^3*p*q*e^2*log(f*x + e)/f^4 - 6*(f*x + e)*b^2*g*h^2*p*q*e^2*log(c)/f^3 - 3/2*(f*x + e)^2*b^2*h^3*p*q*e^2*log(c)/f^4 - 2*(f*x + e)*b^2*h^3*p*q*e^3*log(f*x + e)*log(c)/f^4 + (f*x + e)*b^2*g^3*log(c)^2/f + 3/2*(f*x + e)^2*b^2*g^2*h*log(c)^2/f^2 + (f*x + e)^3*b^2*g*h^2*log(c)^2/f^3 + 1/4*(f*x + e)^4*b^2*h^3*log(c)^2/f^4 - 3*(f*x + e)*b^2*g^2*h*e*log(c)^2/f^2 - 3*(f*x + e)^2*b^2*g*h^2*e*log(c)^2/f^3 - (f*x + e)^3*b^2*h^3*e*log(c)^2/f^4 + 2*(f*x + e)*a*b*g^3*q*log(d)/f + 3*(f*x + e)^2*a*b*g^2*h*q*log(d)/f^2 + 2*(f*x + e)^3*a*b*g*h^2*q*log(d)/f^3 + 1/2*(f*x + e)^4*a*b*h^3*q*log(d)/f^4 + 2*(f*x + e)*b^2*h^3*p*q^2*e^3*log(d)/f^4 - 6*(f*x + e)*a*b*g^2*h*q*e*log(d)/f^2 - 6*(f*x + e)^2*a*b*g*h^2*q*e*log(d)/f^3 - 2*(f*x + e)^3*a*b*h^3*q*e*log(d)/f^4 + 6*(f*x + e)*b^2*g*h^2*q*e^2*log(c)*log(d)/f^3 + 3*(f*x + e)^2*b^2*h^3*q*e^2*log(c)*log(d)/f^4 - (f*x + e)*b^2*h^3*q^2*e^3*log(d)^2/f^4 - 6*(f*x + e)*a*b*g*h^2*p*q*e^2/f^3 - 3/2*(f*x + e)^2*a*b*h^3*p*q*e^2/f^4 - 2*(f*x + e)*a*b*h^3*p*q*e^3*log(f*x + e)/f^4 + 2*(f*x + e)*a*b*g^3*log(c)/f + 3*(f*x + e)^2*a*b*g^2*h*log(c)/f^2 + 2*(f*x + e)^3*a*b*g*h^2*log(c)/f^3 + 1/2*(f*x + e)^4*a*b*h^3*log(c)/f^4 + 2*(f*x + e)*b^2*h^3*p*q*e^3*log(c)/f^4 - 6*(f*x + e)*a*b*g^2*h*e*log(c)/f^2 - 6*(f*x + e)^2*a*b*g*h^2*e*log(c)/f^3 - 2*(f*x + e)^3*a*b*h^3*e*log(c)/f^4 + 3*(f*x + e)*b^2*g*h^2*e^2*log(c)^2/f^3 + 3/2*(f*x + e)^2*b^2*h^3*e^2*log(c)^2/f^4 + 6*(f*x + e)*a*b*g*h^2*q*e^2*log(d)/f^3 + 3*(f*x + e)^2*a*b*h^3*q*e^2*log(d)/f^4 - 2*(f*x + e)*b^2*h^3*q*e^3*log(c)*log(d)/f^4 + (f*x + e)*a^2*g^3/f + 3/2*(f*x + e)^2*a^2*g^2*h/f^2 + (f*x + e)^3*a^2*g*h^2/f^3 + 1/4*(f*x + e)^4*a^2*h^3/f^4 + 2*(f*x + e)*a*b*h^3*p*q*e^3/f^4 - 3*(f*x + e)*a^2*g^2*h*e/f^2 - 3*(f*x + e)^2*a^2*g*h^2*e/f^3 - (f*x + e)^3*a^2*h^3*e/f^4 + 6*(f*x + e)*a*b*g*h^2*e^2*log(c)/f^3 + 3*(f*x + e)^2*a*b*h^3*e^2*log(c)/f^4 - (f*x + e)*b^2*h^3*e^3*log(c)^2/f^4 - 2*(f*x + e)*a*b*h^3*q*e^3*log(d)/f^4 + 3*(f*x + e)*a^2*g*h^2*e^2/f^3 + 3/2*(f*x + e)^2*a^2*h^3*e^2/f^4 - 2*(f*x + e)*a*b*h^3*e^3*log(c)/f^4 - (f*x + e)*a^2*h^3*e^3/f^4","B",0
429,1,2241,0,0.390017," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b^{2} g^{2} p^{2} q^{2} \log\left(f x + e\right)^{2}}{f} + \frac{{\left(f x + e\right)}^{2} b^{2} g h p^{2} q^{2} \log\left(f x + e\right)^{2}}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{2} h^{2} p^{2} q^{2} \log\left(f x + e\right)^{2}}{3 \, f^{3}} - \frac{2 \, {\left(f x + e\right)} b^{2} g h p^{2} q^{2} e \log\left(f x + e\right)^{2}}{f^{2}} - \frac{{\left(f x + e\right)}^{2} b^{2} h^{2} p^{2} q^{2} e \log\left(f x + e\right)^{2}}{f^{3}} - \frac{2 \, {\left(f x + e\right)} b^{2} g^{2} p^{2} q^{2} \log\left(f x + e\right)}{f} - \frac{{\left(f x + e\right)}^{2} b^{2} g h p^{2} q^{2} \log\left(f x + e\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{2} p^{2} q^{2} \log\left(f x + e\right)}{9 \, f^{3}} + \frac{4 \, {\left(f x + e\right)} b^{2} g h p^{2} q^{2} e \log\left(f x + e\right)}{f^{2}} + \frac{{\left(f x + e\right)}^{2} b^{2} h^{2} p^{2} q^{2} e \log\left(f x + e\right)}{f^{3}} + \frac{{\left(f x + e\right)} b^{2} h^{2} p^{2} q^{2} e^{2} \log\left(f x + e\right)^{2}}{f^{3}} + \frac{2 \, {\left(f x + e\right)} b^{2} g^{2} p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f} + \frac{2 \, {\left(f x + e\right)}^{2} b^{2} g h p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{2} p q^{2} \log\left(f x + e\right) \log\left(d\right)}{3 \, f^{3}} - \frac{4 \, {\left(f x + e\right)} b^{2} g h p q^{2} e \log\left(f x + e\right) \log\left(d\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{2} b^{2} h^{2} p q^{2} e \log\left(f x + e\right) \log\left(d\right)}{f^{3}} + \frac{2 \, {\left(f x + e\right)} b^{2} g^{2} p^{2} q^{2}}{f} + \frac{{\left(f x + e\right)}^{2} b^{2} g h p^{2} q^{2}}{2 \, f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{2} p^{2} q^{2}}{27 \, f^{3}} - \frac{4 \, {\left(f x + e\right)} b^{2} g h p^{2} q^{2} e}{f^{2}} - \frac{{\left(f x + e\right)}^{2} b^{2} h^{2} p^{2} q^{2} e}{2 \, f^{3}} - \frac{2 \, {\left(f x + e\right)} b^{2} h^{2} p^{2} q^{2} e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{2 \, {\left(f x + e\right)} b^{2} g^{2} p q \log\left(f x + e\right) \log\left(c\right)}{f} + \frac{2 \, {\left(f x + e\right)}^{2} b^{2} g h p q \log\left(f x + e\right) \log\left(c\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{2} p q \log\left(f x + e\right) \log\left(c\right)}{3 \, f^{3}} - \frac{4 \, {\left(f x + e\right)} b^{2} g h p q e \log\left(f x + e\right) \log\left(c\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{2} b^{2} h^{2} p q e \log\left(f x + e\right) \log\left(c\right)}{f^{3}} - \frac{2 \, {\left(f x + e\right)} b^{2} g^{2} p q^{2} \log\left(d\right)}{f} - \frac{{\left(f x + e\right)}^{2} b^{2} g h p q^{2} \log\left(d\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{2} p q^{2} \log\left(d\right)}{9 \, f^{3}} + \frac{4 \, {\left(f x + e\right)} b^{2} g h p q^{2} e \log\left(d\right)}{f^{2}} + \frac{{\left(f x + e\right)}^{2} b^{2} h^{2} p q^{2} e \log\left(d\right)}{f^{3}} + \frac{2 \, {\left(f x + e\right)} b^{2} h^{2} p q^{2} e^{2} \log\left(f x + e\right) \log\left(d\right)}{f^{3}} + \frac{{\left(f x + e\right)} b^{2} g^{2} q^{2} \log\left(d\right)^{2}}{f} + \frac{{\left(f x + e\right)}^{2} b^{2} g h q^{2} \log\left(d\right)^{2}}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{2} h^{2} q^{2} \log\left(d\right)^{2}}{3 \, f^{3}} - \frac{2 \, {\left(f x + e\right)} b^{2} g h q^{2} e \log\left(d\right)^{2}}{f^{2}} - \frac{{\left(f x + e\right)}^{2} b^{2} h^{2} q^{2} e \log\left(d\right)^{2}}{f^{3}} + \frac{2 \, {\left(f x + e\right)} b^{2} h^{2} p^{2} q^{2} e^{2}}{f^{3}} + \frac{2 \, {\left(f x + e\right)} a b g^{2} p q \log\left(f x + e\right)}{f} + \frac{2 \, {\left(f x + e\right)}^{2} a b g h p q \log\left(f x + e\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} a b h^{2} p q \log\left(f x + e\right)}{3 \, f^{3}} - \frac{4 \, {\left(f x + e\right)} a b g h p q e \log\left(f x + e\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{2} a b h^{2} p q e \log\left(f x + e\right)}{f^{3}} - \frac{2 \, {\left(f x + e\right)} b^{2} g^{2} p q \log\left(c\right)}{f} - \frac{{\left(f x + e\right)}^{2} b^{2} g h p q \log\left(c\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{2} p q \log\left(c\right)}{9 \, f^{3}} + \frac{4 \, {\left(f x + e\right)} b^{2} g h p q e \log\left(c\right)}{f^{2}} + \frac{{\left(f x + e\right)}^{2} b^{2} h^{2} p q e \log\left(c\right)}{f^{3}} + \frac{2 \, {\left(f x + e\right)} b^{2} h^{2} p q e^{2} \log\left(f x + e\right) \log\left(c\right)}{f^{3}} - \frac{2 \, {\left(f x + e\right)} b^{2} h^{2} p q^{2} e^{2} \log\left(d\right)}{f^{3}} + \frac{2 \, {\left(f x + e\right)} b^{2} g^{2} q \log\left(c\right) \log\left(d\right)}{f} + \frac{2 \, {\left(f x + e\right)}^{2} b^{2} g h q \log\left(c\right) \log\left(d\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{2} h^{2} q \log\left(c\right) \log\left(d\right)}{3 \, f^{3}} - \frac{4 \, {\left(f x + e\right)} b^{2} g h q e \log\left(c\right) \log\left(d\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{2} b^{2} h^{2} q e \log\left(c\right) \log\left(d\right)}{f^{3}} + \frac{{\left(f x + e\right)} b^{2} h^{2} q^{2} e^{2} \log\left(d\right)^{2}}{f^{3}} - \frac{2 \, {\left(f x + e\right)} a b g^{2} p q}{f} - \frac{{\left(f x + e\right)}^{2} a b g h p q}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} a b h^{2} p q}{9 \, f^{3}} + \frac{4 \, {\left(f x + e\right)} a b g h p q e}{f^{2}} + \frac{{\left(f x + e\right)}^{2} a b h^{2} p q e}{f^{3}} + \frac{2 \, {\left(f x + e\right)} a b h^{2} p q e^{2} \log\left(f x + e\right)}{f^{3}} - \frac{2 \, {\left(f x + e\right)} b^{2} h^{2} p q e^{2} \log\left(c\right)}{f^{3}} + \frac{{\left(f x + e\right)} b^{2} g^{2} \log\left(c\right)^{2}}{f} + \frac{{\left(f x + e\right)}^{2} b^{2} g h \log\left(c\right)^{2}}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{2} h^{2} \log\left(c\right)^{2}}{3 \, f^{3}} - \frac{2 \, {\left(f x + e\right)} b^{2} g h e \log\left(c\right)^{2}}{f^{2}} - \frac{{\left(f x + e\right)}^{2} b^{2} h^{2} e \log\left(c\right)^{2}}{f^{3}} + \frac{2 \, {\left(f x + e\right)} a b g^{2} q \log\left(d\right)}{f} + \frac{2 \, {\left(f x + e\right)}^{2} a b g h q \log\left(d\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} a b h^{2} q \log\left(d\right)}{3 \, f^{3}} - \frac{4 \, {\left(f x + e\right)} a b g h q e \log\left(d\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{2} a b h^{2} q e \log\left(d\right)}{f^{3}} + \frac{2 \, {\left(f x + e\right)} b^{2} h^{2} q e^{2} \log\left(c\right) \log\left(d\right)}{f^{3}} - \frac{2 \, {\left(f x + e\right)} a b h^{2} p q e^{2}}{f^{3}} + \frac{2 \, {\left(f x + e\right)} a b g^{2} \log\left(c\right)}{f} + \frac{2 \, {\left(f x + e\right)}^{2} a b g h \log\left(c\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} a b h^{2} \log\left(c\right)}{3 \, f^{3}} - \frac{4 \, {\left(f x + e\right)} a b g h e \log\left(c\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{2} a b h^{2} e \log\left(c\right)}{f^{3}} + \frac{{\left(f x + e\right)} b^{2} h^{2} e^{2} \log\left(c\right)^{2}}{f^{3}} + \frac{2 \, {\left(f x + e\right)} a b h^{2} q e^{2} \log\left(d\right)}{f^{3}} + \frac{{\left(f x + e\right)} a^{2} g^{2}}{f} + \frac{{\left(f x + e\right)}^{2} a^{2} g h}{f^{2}} + \frac{{\left(f x + e\right)}^{3} a^{2} h^{2}}{3 \, f^{3}} - \frac{2 \, {\left(f x + e\right)} a^{2} g h e}{f^{2}} - \frac{{\left(f x + e\right)}^{2} a^{2} h^{2} e}{f^{3}} + \frac{2 \, {\left(f x + e\right)} a b h^{2} e^{2} \log\left(c\right)}{f^{3}} + \frac{{\left(f x + e\right)} a^{2} h^{2} e^{2}}{f^{3}}"," ",0,"(f*x + e)*b^2*g^2*p^2*q^2*log(f*x + e)^2/f + (f*x + e)^2*b^2*g*h*p^2*q^2*log(f*x + e)^2/f^2 + 1/3*(f*x + e)^3*b^2*h^2*p^2*q^2*log(f*x + e)^2/f^3 - 2*(f*x + e)*b^2*g*h*p^2*q^2*e*log(f*x + e)^2/f^2 - (f*x + e)^2*b^2*h^2*p^2*q^2*e*log(f*x + e)^2/f^3 - 2*(f*x + e)*b^2*g^2*p^2*q^2*log(f*x + e)/f - (f*x + e)^2*b^2*g*h*p^2*q^2*log(f*x + e)/f^2 - 2/9*(f*x + e)^3*b^2*h^2*p^2*q^2*log(f*x + e)/f^3 + 4*(f*x + e)*b^2*g*h*p^2*q^2*e*log(f*x + e)/f^2 + (f*x + e)^2*b^2*h^2*p^2*q^2*e*log(f*x + e)/f^3 + (f*x + e)*b^2*h^2*p^2*q^2*e^2*log(f*x + e)^2/f^3 + 2*(f*x + e)*b^2*g^2*p*q^2*log(f*x + e)*log(d)/f + 2*(f*x + e)^2*b^2*g*h*p*q^2*log(f*x + e)*log(d)/f^2 + 2/3*(f*x + e)^3*b^2*h^2*p*q^2*log(f*x + e)*log(d)/f^3 - 4*(f*x + e)*b^2*g*h*p*q^2*e*log(f*x + e)*log(d)/f^2 - 2*(f*x + e)^2*b^2*h^2*p*q^2*e*log(f*x + e)*log(d)/f^3 + 2*(f*x + e)*b^2*g^2*p^2*q^2/f + 1/2*(f*x + e)^2*b^2*g*h*p^2*q^2/f^2 + 2/27*(f*x + e)^3*b^2*h^2*p^2*q^2/f^3 - 4*(f*x + e)*b^2*g*h*p^2*q^2*e/f^2 - 1/2*(f*x + e)^2*b^2*h^2*p^2*q^2*e/f^3 - 2*(f*x + e)*b^2*h^2*p^2*q^2*e^2*log(f*x + e)/f^3 + 2*(f*x + e)*b^2*g^2*p*q*log(f*x + e)*log(c)/f + 2*(f*x + e)^2*b^2*g*h*p*q*log(f*x + e)*log(c)/f^2 + 2/3*(f*x + e)^3*b^2*h^2*p*q*log(f*x + e)*log(c)/f^3 - 4*(f*x + e)*b^2*g*h*p*q*e*log(f*x + e)*log(c)/f^2 - 2*(f*x + e)^2*b^2*h^2*p*q*e*log(f*x + e)*log(c)/f^3 - 2*(f*x + e)*b^2*g^2*p*q^2*log(d)/f - (f*x + e)^2*b^2*g*h*p*q^2*log(d)/f^2 - 2/9*(f*x + e)^3*b^2*h^2*p*q^2*log(d)/f^3 + 4*(f*x + e)*b^2*g*h*p*q^2*e*log(d)/f^2 + (f*x + e)^2*b^2*h^2*p*q^2*e*log(d)/f^3 + 2*(f*x + e)*b^2*h^2*p*q^2*e^2*log(f*x + e)*log(d)/f^3 + (f*x + e)*b^2*g^2*q^2*log(d)^2/f + (f*x + e)^2*b^2*g*h*q^2*log(d)^2/f^2 + 1/3*(f*x + e)^3*b^2*h^2*q^2*log(d)^2/f^3 - 2*(f*x + e)*b^2*g*h*q^2*e*log(d)^2/f^2 - (f*x + e)^2*b^2*h^2*q^2*e*log(d)^2/f^3 + 2*(f*x + e)*b^2*h^2*p^2*q^2*e^2/f^3 + 2*(f*x + e)*a*b*g^2*p*q*log(f*x + e)/f + 2*(f*x + e)^2*a*b*g*h*p*q*log(f*x + e)/f^2 + 2/3*(f*x + e)^3*a*b*h^2*p*q*log(f*x + e)/f^3 - 4*(f*x + e)*a*b*g*h*p*q*e*log(f*x + e)/f^2 - 2*(f*x + e)^2*a*b*h^2*p*q*e*log(f*x + e)/f^3 - 2*(f*x + e)*b^2*g^2*p*q*log(c)/f - (f*x + e)^2*b^2*g*h*p*q*log(c)/f^2 - 2/9*(f*x + e)^3*b^2*h^2*p*q*log(c)/f^3 + 4*(f*x + e)*b^2*g*h*p*q*e*log(c)/f^2 + (f*x + e)^2*b^2*h^2*p*q*e*log(c)/f^3 + 2*(f*x + e)*b^2*h^2*p*q*e^2*log(f*x + e)*log(c)/f^3 - 2*(f*x + e)*b^2*h^2*p*q^2*e^2*log(d)/f^3 + 2*(f*x + e)*b^2*g^2*q*log(c)*log(d)/f + 2*(f*x + e)^2*b^2*g*h*q*log(c)*log(d)/f^2 + 2/3*(f*x + e)^3*b^2*h^2*q*log(c)*log(d)/f^3 - 4*(f*x + e)*b^2*g*h*q*e*log(c)*log(d)/f^2 - 2*(f*x + e)^2*b^2*h^2*q*e*log(c)*log(d)/f^3 + (f*x + e)*b^2*h^2*q^2*e^2*log(d)^2/f^3 - 2*(f*x + e)*a*b*g^2*p*q/f - (f*x + e)^2*a*b*g*h*p*q/f^2 - 2/9*(f*x + e)^3*a*b*h^2*p*q/f^3 + 4*(f*x + e)*a*b*g*h*p*q*e/f^2 + (f*x + e)^2*a*b*h^2*p*q*e/f^3 + 2*(f*x + e)*a*b*h^2*p*q*e^2*log(f*x + e)/f^3 - 2*(f*x + e)*b^2*h^2*p*q*e^2*log(c)/f^3 + (f*x + e)*b^2*g^2*log(c)^2/f + (f*x + e)^2*b^2*g*h*log(c)^2/f^2 + 1/3*(f*x + e)^3*b^2*h^2*log(c)^2/f^3 - 2*(f*x + e)*b^2*g*h*e*log(c)^2/f^2 - (f*x + e)^2*b^2*h^2*e*log(c)^2/f^3 + 2*(f*x + e)*a*b*g^2*q*log(d)/f + 2*(f*x + e)^2*a*b*g*h*q*log(d)/f^2 + 2/3*(f*x + e)^3*a*b*h^2*q*log(d)/f^3 - 4*(f*x + e)*a*b*g*h*q*e*log(d)/f^2 - 2*(f*x + e)^2*a*b*h^2*q*e*log(d)/f^3 + 2*(f*x + e)*b^2*h^2*q*e^2*log(c)*log(d)/f^3 - 2*(f*x + e)*a*b*h^2*p*q*e^2/f^3 + 2*(f*x + e)*a*b*g^2*log(c)/f + 2*(f*x + e)^2*a*b*g*h*log(c)/f^2 + 2/3*(f*x + e)^3*a*b*h^2*log(c)/f^3 - 4*(f*x + e)*a*b*g*h*e*log(c)/f^2 - 2*(f*x + e)^2*a*b*h^2*e*log(c)/f^3 + (f*x + e)*b^2*h^2*e^2*log(c)^2/f^3 + 2*(f*x + e)*a*b*h^2*q*e^2*log(d)/f^3 + (f*x + e)*a^2*g^2/f + (f*x + e)^2*a^2*g*h/f^2 + 1/3*(f*x + e)^3*a^2*h^2/f^3 - 2*(f*x + e)*a^2*g*h*e/f^2 - (f*x + e)^2*a^2*h^2*e/f^3 + 2*(f*x + e)*a*b*h^2*e^2*log(c)/f^3 + (f*x + e)*a^2*h^2*e^2/f^3","B",0
430,1,1014,0,0.241247," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b^{2} g p^{2} q^{2} \log\left(f x + e\right)^{2}}{f} + \frac{{\left(f x + e\right)}^{2} b^{2} h p^{2} q^{2} \log\left(f x + e\right)^{2}}{2 \, f^{2}} - \frac{{\left(f x + e\right)} b^{2} h p^{2} q^{2} e \log\left(f x + e\right)^{2}}{f^{2}} - \frac{2 \, {\left(f x + e\right)} b^{2} g p^{2} q^{2} \log\left(f x + e\right)}{f} - \frac{{\left(f x + e\right)}^{2} b^{2} h p^{2} q^{2} \log\left(f x + e\right)}{2 \, f^{2}} + \frac{2 \, {\left(f x + e\right)} b^{2} h p^{2} q^{2} e \log\left(f x + e\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)} b^{2} g p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f} + \frac{{\left(f x + e\right)}^{2} b^{2} h p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)} b^{2} h p q^{2} e \log\left(f x + e\right) \log\left(d\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)} b^{2} g p^{2} q^{2}}{f} + \frac{{\left(f x + e\right)}^{2} b^{2} h p^{2} q^{2}}{4 \, f^{2}} - \frac{2 \, {\left(f x + e\right)} b^{2} h p^{2} q^{2} e}{f^{2}} + \frac{2 \, {\left(f x + e\right)} b^{2} g p q \log\left(f x + e\right) \log\left(c\right)}{f} + \frac{{\left(f x + e\right)}^{2} b^{2} h p q \log\left(f x + e\right) \log\left(c\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)} b^{2} h p q e \log\left(f x + e\right) \log\left(c\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)} b^{2} g p q^{2} \log\left(d\right)}{f} - \frac{{\left(f x + e\right)}^{2} b^{2} h p q^{2} \log\left(d\right)}{2 \, f^{2}} + \frac{2 \, {\left(f x + e\right)} b^{2} h p q^{2} e \log\left(d\right)}{f^{2}} + \frac{{\left(f x + e\right)} b^{2} g q^{2} \log\left(d\right)^{2}}{f} + \frac{{\left(f x + e\right)}^{2} b^{2} h q^{2} \log\left(d\right)^{2}}{2 \, f^{2}} - \frac{{\left(f x + e\right)} b^{2} h q^{2} e \log\left(d\right)^{2}}{f^{2}} + \frac{2 \, {\left(f x + e\right)} a b g p q \log\left(f x + e\right)}{f} + \frac{{\left(f x + e\right)}^{2} a b h p q \log\left(f x + e\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)} a b h p q e \log\left(f x + e\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)} b^{2} g p q \log\left(c\right)}{f} - \frac{{\left(f x + e\right)}^{2} b^{2} h p q \log\left(c\right)}{2 \, f^{2}} + \frac{2 \, {\left(f x + e\right)} b^{2} h p q e \log\left(c\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)} b^{2} g q \log\left(c\right) \log\left(d\right)}{f} + \frac{{\left(f x + e\right)}^{2} b^{2} h q \log\left(c\right) \log\left(d\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)} b^{2} h q e \log\left(c\right) \log\left(d\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)} a b g p q}{f} - \frac{{\left(f x + e\right)}^{2} a b h p q}{2 \, f^{2}} + \frac{2 \, {\left(f x + e\right)} a b h p q e}{f^{2}} + \frac{{\left(f x + e\right)} b^{2} g \log\left(c\right)^{2}}{f} + \frac{{\left(f x + e\right)}^{2} b^{2} h \log\left(c\right)^{2}}{2 \, f^{2}} - \frac{{\left(f x + e\right)} b^{2} h e \log\left(c\right)^{2}}{f^{2}} + \frac{2 \, {\left(f x + e\right)} a b g q \log\left(d\right)}{f} + \frac{{\left(f x + e\right)}^{2} a b h q \log\left(d\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)} a b h q e \log\left(d\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)} a b g \log\left(c\right)}{f} + \frac{{\left(f x + e\right)}^{2} a b h \log\left(c\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)} a b h e \log\left(c\right)}{f^{2}} + \frac{{\left(f x + e\right)} a^{2} g}{f} + \frac{{\left(f x + e\right)}^{2} a^{2} h}{2 \, f^{2}} - \frac{{\left(f x + e\right)} a^{2} h e}{f^{2}}"," ",0,"(f*x + e)*b^2*g*p^2*q^2*log(f*x + e)^2/f + 1/2*(f*x + e)^2*b^2*h*p^2*q^2*log(f*x + e)^2/f^2 - (f*x + e)*b^2*h*p^2*q^2*e*log(f*x + e)^2/f^2 - 2*(f*x + e)*b^2*g*p^2*q^2*log(f*x + e)/f - 1/2*(f*x + e)^2*b^2*h*p^2*q^2*log(f*x + e)/f^2 + 2*(f*x + e)*b^2*h*p^2*q^2*e*log(f*x + e)/f^2 + 2*(f*x + e)*b^2*g*p*q^2*log(f*x + e)*log(d)/f + (f*x + e)^2*b^2*h*p*q^2*log(f*x + e)*log(d)/f^2 - 2*(f*x + e)*b^2*h*p*q^2*e*log(f*x + e)*log(d)/f^2 + 2*(f*x + e)*b^2*g*p^2*q^2/f + 1/4*(f*x + e)^2*b^2*h*p^2*q^2/f^2 - 2*(f*x + e)*b^2*h*p^2*q^2*e/f^2 + 2*(f*x + e)*b^2*g*p*q*log(f*x + e)*log(c)/f + (f*x + e)^2*b^2*h*p*q*log(f*x + e)*log(c)/f^2 - 2*(f*x + e)*b^2*h*p*q*e*log(f*x + e)*log(c)/f^2 - 2*(f*x + e)*b^2*g*p*q^2*log(d)/f - 1/2*(f*x + e)^2*b^2*h*p*q^2*log(d)/f^2 + 2*(f*x + e)*b^2*h*p*q^2*e*log(d)/f^2 + (f*x + e)*b^2*g*q^2*log(d)^2/f + 1/2*(f*x + e)^2*b^2*h*q^2*log(d)^2/f^2 - (f*x + e)*b^2*h*q^2*e*log(d)^2/f^2 + 2*(f*x + e)*a*b*g*p*q*log(f*x + e)/f + (f*x + e)^2*a*b*h*p*q*log(f*x + e)/f^2 - 2*(f*x + e)*a*b*h*p*q*e*log(f*x + e)/f^2 - 2*(f*x + e)*b^2*g*p*q*log(c)/f - 1/2*(f*x + e)^2*b^2*h*p*q*log(c)/f^2 + 2*(f*x + e)*b^2*h*p*q*e*log(c)/f^2 + 2*(f*x + e)*b^2*g*q*log(c)*log(d)/f + (f*x + e)^2*b^2*h*q*log(c)*log(d)/f^2 - 2*(f*x + e)*b^2*h*q*e*log(c)*log(d)/f^2 - 2*(f*x + e)*a*b*g*p*q/f - 1/2*(f*x + e)^2*a*b*h*p*q/f^2 + 2*(f*x + e)*a*b*h*p*q*e/f^2 + (f*x + e)*b^2*g*log(c)^2/f + 1/2*(f*x + e)^2*b^2*h*log(c)^2/f^2 - (f*x + e)*b^2*h*e*log(c)^2/f^2 + 2*(f*x + e)*a*b*g*q*log(d)/f + (f*x + e)^2*a*b*h*q*log(d)/f^2 - 2*(f*x + e)*a*b*h*q*e*log(d)/f^2 + 2*(f*x + e)*a*b*g*log(c)/f + (f*x + e)^2*a*b*h*log(c)/f^2 - 2*(f*x + e)*a*b*h*e*log(c)/f^2 + (f*x + e)*a^2*g/f + 1/2*(f*x + e)^2*a^2*h/f^2 - (f*x + e)*a^2*h*e/f^2","B",0
431,1,303,0,0.183651," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b^{2} p^{2} q^{2} \log\left(f x + e\right)^{2}}{f} - \frac{2 \, {\left(f x + e\right)} b^{2} p^{2} q^{2} \log\left(f x + e\right)}{f} + \frac{2 \, {\left(f x + e\right)} b^{2} p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f} + \frac{2 \, {\left(f x + e\right)} b^{2} p^{2} q^{2}}{f} + \frac{2 \, {\left(f x + e\right)} b^{2} p q \log\left(f x + e\right) \log\left(c\right)}{f} - \frac{2 \, {\left(f x + e\right)} b^{2} p q^{2} \log\left(d\right)}{f} + \frac{{\left(f x + e\right)} b^{2} q^{2} \log\left(d\right)^{2}}{f} + \frac{2 \, {\left(f x + e\right)} a b p q \log\left(f x + e\right)}{f} - \frac{2 \, {\left(f x + e\right)} b^{2} p q \log\left(c\right)}{f} + \frac{2 \, {\left(f x + e\right)} b^{2} q \log\left(c\right) \log\left(d\right)}{f} - \frac{2 \, {\left(f x + e\right)} a b p q}{f} + \frac{{\left(f x + e\right)} b^{2} \log\left(c\right)^{2}}{f} + \frac{2 \, {\left(f x + e\right)} a b q \log\left(d\right)}{f} + \frac{2 \, {\left(f x + e\right)} a b \log\left(c\right)}{f} + \frac{{\left(f x + e\right)} a^{2}}{f}"," ",0,"(f*x + e)*b^2*p^2*q^2*log(f*x + e)^2/f - 2*(f*x + e)*b^2*p^2*q^2*log(f*x + e)/f + 2*(f*x + e)*b^2*p*q^2*log(f*x + e)*log(d)/f + 2*(f*x + e)*b^2*p^2*q^2/f + 2*(f*x + e)*b^2*p*q*log(f*x + e)*log(c)/f - 2*(f*x + e)*b^2*p*q^2*log(d)/f + (f*x + e)*b^2*q^2*log(d)^2/f + 2*(f*x + e)*a*b*p*q*log(f*x + e)/f - 2*(f*x + e)*b^2*p*q*log(c)/f + 2*(f*x + e)*b^2*q*log(c)*log(d)/f - 2*(f*x + e)*a*b*p*q/f + (f*x + e)*b^2*log(c)^2/f + 2*(f*x + e)*a*b*q*log(d)/f + 2*(f*x + e)*a*b*log(c)/f + (f*x + e)*a^2/f","B",0
432,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}{h x + g}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^2/(h*x + g), x)","F",0
433,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}{{\left(h x + g\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^2/(h*x + g)^2, x)","F",0
434,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}{{\left(h x + g\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^2/(h*x + g)^3, x)","F",0
435,1,5907,0,0.646407," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b^{3} g^{2} p^{3} q^{3} \log\left(f x + e\right)^{3}}{f} + \frac{{\left(f x + e\right)}^{2} b^{3} g h p^{3} q^{3} \log\left(f x + e\right)^{3}}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{3} h^{2} p^{3} q^{3} \log\left(f x + e\right)^{3}}{3 \, f^{3}} - \frac{2 \, {\left(f x + e\right)} b^{3} g h p^{3} q^{3} e \log\left(f x + e\right)^{3}}{f^{2}} - \frac{{\left(f x + e\right)}^{2} b^{3} h^{2} p^{3} q^{3} e \log\left(f x + e\right)^{3}}{f^{3}} - \frac{3 \, {\left(f x + e\right)} b^{3} g^{2} p^{3} q^{3} \log\left(f x + e\right)^{2}}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p^{3} q^{3} \log\left(f x + e\right)^{2}}{2 \, f^{2}} - \frac{{\left(f x + e\right)}^{3} b^{3} h^{2} p^{3} q^{3} \log\left(f x + e\right)^{2}}{3 \, f^{3}} + \frac{6 \, {\left(f x + e\right)} b^{3} g h p^{3} q^{3} e \log\left(f x + e\right)^{2}}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p^{3} q^{3} e \log\left(f x + e\right)^{2}}{2 \, f^{3}} + \frac{{\left(f x + e\right)} b^{3} h^{2} p^{3} q^{3} e^{2} \log\left(f x + e\right)^{3}}{f^{3}} + \frac{3 \, {\left(f x + e\right)} b^{3} g^{2} p^{2} q^{3} \log\left(f x + e\right)^{2} \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p^{2} q^{3} \log\left(f x + e\right)^{2} \log\left(d\right)}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{3} h^{2} p^{2} q^{3} \log\left(f x + e\right)^{2} \log\left(d\right)}{f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} g h p^{2} q^{3} e \log\left(f x + e\right)^{2} \log\left(d\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p^{2} q^{3} e \log\left(f x + e\right)^{2} \log\left(d\right)}{f^{3}} + \frac{6 \, {\left(f x + e\right)} b^{3} g^{2} p^{3} q^{3} \log\left(f x + e\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p^{3} q^{3} \log\left(f x + e\right)}{2 \, f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{3} h^{2} p^{3} q^{3} \log\left(f x + e\right)}{9 \, f^{3}} - \frac{12 \, {\left(f x + e\right)} b^{3} g h p^{3} q^{3} e \log\left(f x + e\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p^{3} q^{3} e \log\left(f x + e\right)}{2 \, f^{3}} - \frac{3 \, {\left(f x + e\right)} b^{3} h^{2} p^{3} q^{3} e^{2} \log\left(f x + e\right)^{2}}{f^{3}} + \frac{3 \, {\left(f x + e\right)} b^{3} g^{2} p^{2} q^{2} \log\left(f x + e\right)^{2} \log\left(c\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p^{2} q^{2} \log\left(f x + e\right)^{2} \log\left(c\right)}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{3} h^{2} p^{2} q^{2} \log\left(f x + e\right)^{2} \log\left(c\right)}{f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} g h p^{2} q^{2} e \log\left(f x + e\right)^{2} \log\left(c\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p^{2} q^{2} e \log\left(f x + e\right)^{2} \log\left(c\right)}{f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} g^{2} p^{2} q^{3} \log\left(f x + e\right) \log\left(d\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p^{2} q^{3} \log\left(f x + e\right) \log\left(d\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{3} h^{2} p^{2} q^{3} \log\left(f x + e\right) \log\left(d\right)}{3 \, f^{3}} + \frac{12 \, {\left(f x + e\right)} b^{3} g h p^{2} q^{3} e \log\left(f x + e\right) \log\left(d\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p^{2} q^{3} e \log\left(f x + e\right) \log\left(d\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)} b^{3} h^{2} p^{2} q^{3} e^{2} \log\left(f x + e\right)^{2} \log\left(d\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)} b^{3} g^{2} p q^{3} \log\left(f x + e\right) \log\left(d\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p q^{3} \log\left(f x + e\right) \log\left(d\right)^{2}}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{3} h^{2} p q^{3} \log\left(f x + e\right) \log\left(d\right)^{2}}{f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} g h p q^{3} e \log\left(f x + e\right) \log\left(d\right)^{2}}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p q^{3} e \log\left(f x + e\right) \log\left(d\right)^{2}}{f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} g^{2} p^{3} q^{3}}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p^{3} q^{3}}{4 \, f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{3} h^{2} p^{3} q^{3}}{27 \, f^{3}} + \frac{12 \, {\left(f x + e\right)} b^{3} g h p^{3} q^{3} e}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p^{3} q^{3} e}{4 \, f^{3}} + \frac{6 \, {\left(f x + e\right)} b^{3} h^{2} p^{3} q^{3} e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)} a b^{2} g^{2} p^{2} q^{2} \log\left(f x + e\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} g h p^{2} q^{2} \log\left(f x + e\right)^{2}}{f^{2}} + \frac{{\left(f x + e\right)}^{3} a b^{2} h^{2} p^{2} q^{2} \log\left(f x + e\right)^{2}}{f^{3}} - \frac{6 \, {\left(f x + e\right)} a b^{2} g h p^{2} q^{2} e \log\left(f x + e\right)^{2}}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h^{2} p^{2} q^{2} e \log\left(f x + e\right)^{2}}{f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} g^{2} p^{2} q^{2} \log\left(f x + e\right) \log\left(c\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p^{2} q^{2} \log\left(f x + e\right) \log\left(c\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{3} h^{2} p^{2} q^{2} \log\left(f x + e\right) \log\left(c\right)}{3 \, f^{3}} + \frac{12 \, {\left(f x + e\right)} b^{3} g h p^{2} q^{2} e \log\left(f x + e\right) \log\left(c\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p^{2} q^{2} e \log\left(f x + e\right) \log\left(c\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)} b^{3} h^{2} p^{2} q^{2} e^{2} \log\left(f x + e\right)^{2} \log\left(c\right)}{f^{3}} + \frac{6 \, {\left(f x + e\right)} b^{3} g^{2} p^{2} q^{3} \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p^{2} q^{3} \log\left(d\right)}{2 \, f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{3} h^{2} p^{2} q^{3} \log\left(d\right)}{9 \, f^{3}} - \frac{12 \, {\left(f x + e\right)} b^{3} g h p^{2} q^{3} e \log\left(d\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p^{2} q^{3} e \log\left(d\right)}{2 \, f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} h^{2} p^{2} q^{3} e^{2} \log\left(f x + e\right) \log\left(d\right)}{f^{3}} + \frac{6 \, {\left(f x + e\right)} b^{3} g^{2} p q^{2} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f} + \frac{6 \, {\left(f x + e\right)}^{2} b^{3} g h p q^{2} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{3} h^{2} p q^{2} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f^{3}} - \frac{12 \, {\left(f x + e\right)} b^{3} g h p q^{2} e \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p q^{2} e \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f^{3}} - \frac{3 \, {\left(f x + e\right)} b^{3} g^{2} p q^{3} \log\left(d\right)^{2}}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p q^{3} \log\left(d\right)^{2}}{2 \, f^{2}} - \frac{{\left(f x + e\right)}^{3} b^{3} h^{2} p q^{3} \log\left(d\right)^{2}}{3 \, f^{3}} + \frac{6 \, {\left(f x + e\right)} b^{3} g h p q^{3} e \log\left(d\right)^{2}}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p q^{3} e \log\left(d\right)^{2}}{2 \, f^{3}} + \frac{3 \, {\left(f x + e\right)} b^{3} h^{2} p q^{3} e^{2} \log\left(f x + e\right) \log\left(d\right)^{2}}{f^{3}} + \frac{{\left(f x + e\right)} b^{3} g^{2} q^{3} \log\left(d\right)^{3}}{f} + \frac{{\left(f x + e\right)}^{2} b^{3} g h q^{3} \log\left(d\right)^{3}}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{3} h^{2} q^{3} \log\left(d\right)^{3}}{3 \, f^{3}} - \frac{2 \, {\left(f x + e\right)} b^{3} g h q^{3} e \log\left(d\right)^{3}}{f^{2}} - \frac{{\left(f x + e\right)}^{2} b^{3} h^{2} q^{3} e \log\left(d\right)^{3}}{f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} h^{2} p^{3} q^{3} e^{2}}{f^{3}} - \frac{6 \, {\left(f x + e\right)} a b^{2} g^{2} p^{2} q^{2} \log\left(f x + e\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} g h p^{2} q^{2} \log\left(f x + e\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} a b^{2} h^{2} p^{2} q^{2} \log\left(f x + e\right)}{3 \, f^{3}} + \frac{12 \, {\left(f x + e\right)} a b^{2} g h p^{2} q^{2} e \log\left(f x + e\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h^{2} p^{2} q^{2} e \log\left(f x + e\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)} a b^{2} h^{2} p^{2} q^{2} e^{2} \log\left(f x + e\right)^{2}}{f^{3}} + \frac{6 \, {\left(f x + e\right)} b^{3} g^{2} p^{2} q^{2} \log\left(c\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p^{2} q^{2} \log\left(c\right)}{2 \, f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} b^{3} h^{2} p^{2} q^{2} \log\left(c\right)}{9 \, f^{3}} - \frac{12 \, {\left(f x + e\right)} b^{3} g h p^{2} q^{2} e \log\left(c\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p^{2} q^{2} e \log\left(c\right)}{2 \, f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} h^{2} p^{2} q^{2} e^{2} \log\left(f x + e\right) \log\left(c\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)} b^{3} g^{2} p q \log\left(f x + e\right) \log\left(c\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p q \log\left(f x + e\right) \log\left(c\right)^{2}}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{3} h^{2} p q \log\left(f x + e\right) \log\left(c\right)^{2}}{f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} g h p q e \log\left(f x + e\right) \log\left(c\right)^{2}}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p q e \log\left(f x + e\right) \log\left(c\right)^{2}}{f^{3}} + \frac{6 \, {\left(f x + e\right)} b^{3} h^{2} p^{2} q^{3} e^{2} \log\left(d\right)}{f^{3}} + \frac{6 \, {\left(f x + e\right)} a b^{2} g^{2} p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f} + \frac{6 \, {\left(f x + e\right)}^{2} a b^{2} g h p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} a b^{2} h^{2} p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f^{3}} - \frac{12 \, {\left(f x + e\right)} a b^{2} g h p q^{2} e \log\left(f x + e\right) \log\left(d\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)}^{2} a b^{2} h^{2} p q^{2} e \log\left(f x + e\right) \log\left(d\right)}{f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} g^{2} p q^{2} \log\left(c\right) \log\left(d\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p q^{2} \log\left(c\right) \log\left(d\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} b^{3} h^{2} p q^{2} \log\left(c\right) \log\left(d\right)}{3 \, f^{3}} + \frac{12 \, {\left(f x + e\right)} b^{3} g h p q^{2} e \log\left(c\right) \log\left(d\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p q^{2} e \log\left(c\right) \log\left(d\right)}{f^{3}} + \frac{6 \, {\left(f x + e\right)} b^{3} h^{2} p q^{2} e^{2} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f^{3}} - \frac{3 \, {\left(f x + e\right)} b^{3} h^{2} p q^{3} e^{2} \log\left(d\right)^{2}}{f^{3}} + \frac{3 \, {\left(f x + e\right)} b^{3} g^{2} q^{2} \log\left(c\right) \log\left(d\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h q^{2} \log\left(c\right) \log\left(d\right)^{2}}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{3} h^{2} q^{2} \log\left(c\right) \log\left(d\right)^{2}}{f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} g h q^{2} e \log\left(c\right) \log\left(d\right)^{2}}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} q^{2} e \log\left(c\right) \log\left(d\right)^{2}}{f^{3}} + \frac{{\left(f x + e\right)} b^{3} h^{2} q^{3} e^{2} \log\left(d\right)^{3}}{f^{3}} + \frac{6 \, {\left(f x + e\right)} a b^{2} g^{2} p^{2} q^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} g h p^{2} q^{2}}{2 \, f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} a b^{2} h^{2} p^{2} q^{2}}{9 \, f^{3}} - \frac{12 \, {\left(f x + e\right)} a b^{2} g h p^{2} q^{2} e}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h^{2} p^{2} q^{2} e}{2 \, f^{3}} - \frac{6 \, {\left(f x + e\right)} a b^{2} h^{2} p^{2} q^{2} e^{2} \log\left(f x + e\right)}{f^{3}} + \frac{6 \, {\left(f x + e\right)} b^{3} h^{2} p^{2} q^{2} e^{2} \log\left(c\right)}{f^{3}} + \frac{6 \, {\left(f x + e\right)} a b^{2} g^{2} p q \log\left(f x + e\right) \log\left(c\right)}{f} + \frac{6 \, {\left(f x + e\right)}^{2} a b^{2} g h p q \log\left(f x + e\right) \log\left(c\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} a b^{2} h^{2} p q \log\left(f x + e\right) \log\left(c\right)}{f^{3}} - \frac{12 \, {\left(f x + e\right)} a b^{2} g h p q e \log\left(f x + e\right) \log\left(c\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)}^{2} a b^{2} h^{2} p q e \log\left(f x + e\right) \log\left(c\right)}{f^{3}} - \frac{3 \, {\left(f x + e\right)} b^{3} g^{2} p q \log\left(c\right)^{2}}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h p q \log\left(c\right)^{2}}{2 \, f^{2}} - \frac{{\left(f x + e\right)}^{3} b^{3} h^{2} p q \log\left(c\right)^{2}}{3 \, f^{3}} + \frac{6 \, {\left(f x + e\right)} b^{3} g h p q e \log\left(c\right)^{2}}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} p q e \log\left(c\right)^{2}}{2 \, f^{3}} + \frac{3 \, {\left(f x + e\right)} b^{3} h^{2} p q e^{2} \log\left(f x + e\right) \log\left(c\right)^{2}}{f^{3}} - \frac{6 \, {\left(f x + e\right)} a b^{2} g^{2} p q^{2} \log\left(d\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} g h p q^{2} \log\left(d\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} a b^{2} h^{2} p q^{2} \log\left(d\right)}{3 \, f^{3}} + \frac{12 \, {\left(f x + e\right)} a b^{2} g h p q^{2} e \log\left(d\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h^{2} p q^{2} e \log\left(d\right)}{f^{3}} + \frac{6 \, {\left(f x + e\right)} a b^{2} h^{2} p q^{2} e^{2} \log\left(f x + e\right) \log\left(d\right)}{f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} h^{2} p q^{2} e^{2} \log\left(c\right) \log\left(d\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)} b^{3} g^{2} q \log\left(c\right)^{2} \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} g h q \log\left(c\right)^{2} \log\left(d\right)}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{3} h^{2} q \log\left(c\right)^{2} \log\left(d\right)}{f^{3}} - \frac{6 \, {\left(f x + e\right)} b^{3} g h q e \log\left(c\right)^{2} \log\left(d\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h^{2} q e \log\left(c\right)^{2} \log\left(d\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)} a b^{2} g^{2} q^{2} \log\left(d\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} g h q^{2} \log\left(d\right)^{2}}{f^{2}} + \frac{{\left(f x + e\right)}^{3} a b^{2} h^{2} q^{2} \log\left(d\right)^{2}}{f^{3}} - \frac{6 \, {\left(f x + e\right)} a b^{2} g h q^{2} e \log\left(d\right)^{2}}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h^{2} q^{2} e \log\left(d\right)^{2}}{f^{3}} + \frac{3 \, {\left(f x + e\right)} b^{3} h^{2} q^{2} e^{2} \log\left(c\right) \log\left(d\right)^{2}}{f^{3}} + \frac{6 \, {\left(f x + e\right)} a b^{2} h^{2} p^{2} q^{2} e^{2}}{f^{3}} + \frac{3 \, {\left(f x + e\right)} a^{2} b g^{2} p q \log\left(f x + e\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a^{2} b g h p q \log\left(f x + e\right)}{f^{2}} + \frac{{\left(f x + e\right)}^{3} a^{2} b h^{2} p q \log\left(f x + e\right)}{f^{3}} - \frac{6 \, {\left(f x + e\right)} a^{2} b g h p q e \log\left(f x + e\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} a^{2} b h^{2} p q e \log\left(f x + e\right)}{f^{3}} - \frac{6 \, {\left(f x + e\right)} a b^{2} g^{2} p q \log\left(c\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} g h p q \log\left(c\right)}{f^{2}} - \frac{2 \, {\left(f x + e\right)}^{3} a b^{2} h^{2} p q \log\left(c\right)}{3 \, f^{3}} + \frac{12 \, {\left(f x + e\right)} a b^{2} g h p q e \log\left(c\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h^{2} p q e \log\left(c\right)}{f^{3}} + \frac{6 \, {\left(f x + e\right)} a b^{2} h^{2} p q e^{2} \log\left(f x + e\right) \log\left(c\right)}{f^{3}} - \frac{3 \, {\left(f x + e\right)} b^{3} h^{2} p q e^{2} \log\left(c\right)^{2}}{f^{3}} + \frac{{\left(f x + e\right)} b^{3} g^{2} \log\left(c\right)^{3}}{f} + \frac{{\left(f x + e\right)}^{2} b^{3} g h \log\left(c\right)^{3}}{f^{2}} + \frac{{\left(f x + e\right)}^{3} b^{3} h^{2} \log\left(c\right)^{3}}{3 \, f^{3}} - \frac{2 \, {\left(f x + e\right)} b^{3} g h e \log\left(c\right)^{3}}{f^{2}} - \frac{{\left(f x + e\right)}^{2} b^{3} h^{2} e \log\left(c\right)^{3}}{f^{3}} - \frac{6 \, {\left(f x + e\right)} a b^{2} h^{2} p q^{2} e^{2} \log\left(d\right)}{f^{3}} + \frac{6 \, {\left(f x + e\right)} a b^{2} g^{2} q \log\left(c\right) \log\left(d\right)}{f} + \frac{6 \, {\left(f x + e\right)}^{2} a b^{2} g h q \log\left(c\right) \log\left(d\right)}{f^{2}} + \frac{2 \, {\left(f x + e\right)}^{3} a b^{2} h^{2} q \log\left(c\right) \log\left(d\right)}{f^{3}} - \frac{12 \, {\left(f x + e\right)} a b^{2} g h q e \log\left(c\right) \log\left(d\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)}^{2} a b^{2} h^{2} q e \log\left(c\right) \log\left(d\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)} b^{3} h^{2} q e^{2} \log\left(c\right)^{2} \log\left(d\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)} a b^{2} h^{2} q^{2} e^{2} \log\left(d\right)^{2}}{f^{3}} - \frac{3 \, {\left(f x + e\right)} a^{2} b g^{2} p q}{f} - \frac{3 \, {\left(f x + e\right)}^{2} a^{2} b g h p q}{2 \, f^{2}} - \frac{{\left(f x + e\right)}^{3} a^{2} b h^{2} p q}{3 \, f^{3}} + \frac{6 \, {\left(f x + e\right)} a^{2} b g h p q e}{f^{2}} + \frac{3 \, {\left(f x + e\right)}^{2} a^{2} b h^{2} p q e}{2 \, f^{3}} + \frac{3 \, {\left(f x + e\right)} a^{2} b h^{2} p q e^{2} \log\left(f x + e\right)}{f^{3}} - \frac{6 \, {\left(f x + e\right)} a b^{2} h^{2} p q e^{2} \log\left(c\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)} a b^{2} g^{2} \log\left(c\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} g h \log\left(c\right)^{2}}{f^{2}} + \frac{{\left(f x + e\right)}^{3} a b^{2} h^{2} \log\left(c\right)^{2}}{f^{3}} - \frac{6 \, {\left(f x + e\right)} a b^{2} g h e \log\left(c\right)^{2}}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h^{2} e \log\left(c\right)^{2}}{f^{3}} + \frac{{\left(f x + e\right)} b^{3} h^{2} e^{2} \log\left(c\right)^{3}}{f^{3}} + \frac{3 \, {\left(f x + e\right)} a^{2} b g^{2} q \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a^{2} b g h q \log\left(d\right)}{f^{2}} + \frac{{\left(f x + e\right)}^{3} a^{2} b h^{2} q \log\left(d\right)}{f^{3}} - \frac{6 \, {\left(f x + e\right)} a^{2} b g h q e \log\left(d\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} a^{2} b h^{2} q e \log\left(d\right)}{f^{3}} + \frac{6 \, {\left(f x + e\right)} a b^{2} h^{2} q e^{2} \log\left(c\right) \log\left(d\right)}{f^{3}} - \frac{3 \, {\left(f x + e\right)} a^{2} b h^{2} p q e^{2}}{f^{3}} + \frac{3 \, {\left(f x + e\right)} a^{2} b g^{2} \log\left(c\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a^{2} b g h \log\left(c\right)}{f^{2}} + \frac{{\left(f x + e\right)}^{3} a^{2} b h^{2} \log\left(c\right)}{f^{3}} - \frac{6 \, {\left(f x + e\right)} a^{2} b g h e \log\left(c\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)}^{2} a^{2} b h^{2} e \log\left(c\right)}{f^{3}} + \frac{3 \, {\left(f x + e\right)} a b^{2} h^{2} e^{2} \log\left(c\right)^{2}}{f^{3}} + \frac{3 \, {\left(f x + e\right)} a^{2} b h^{2} q e^{2} \log\left(d\right)}{f^{3}} + \frac{{\left(f x + e\right)} a^{3} g^{2}}{f} + \frac{{\left(f x + e\right)}^{2} a^{3} g h}{f^{2}} + \frac{{\left(f x + e\right)}^{3} a^{3} h^{2}}{3 \, f^{3}} - \frac{2 \, {\left(f x + e\right)} a^{3} g h e}{f^{2}} - \frac{{\left(f x + e\right)}^{2} a^{3} h^{2} e}{f^{3}} + \frac{3 \, {\left(f x + e\right)} a^{2} b h^{2} e^{2} \log\left(c\right)}{f^{3}} + \frac{{\left(f x + e\right)} a^{3} h^{2} e^{2}}{f^{3}}"," ",0,"(f*x + e)*b^3*g^2*p^3*q^3*log(f*x + e)^3/f + (f*x + e)^2*b^3*g*h*p^3*q^3*log(f*x + e)^3/f^2 + 1/3*(f*x + e)^3*b^3*h^2*p^3*q^3*log(f*x + e)^3/f^3 - 2*(f*x + e)*b^3*g*h*p^3*q^3*e*log(f*x + e)^3/f^2 - (f*x + e)^2*b^3*h^2*p^3*q^3*e*log(f*x + e)^3/f^3 - 3*(f*x + e)*b^3*g^2*p^3*q^3*log(f*x + e)^2/f - 3/2*(f*x + e)^2*b^3*g*h*p^3*q^3*log(f*x + e)^2/f^2 - 1/3*(f*x + e)^3*b^3*h^2*p^3*q^3*log(f*x + e)^2/f^3 + 6*(f*x + e)*b^3*g*h*p^3*q^3*e*log(f*x + e)^2/f^2 + 3/2*(f*x + e)^2*b^3*h^2*p^3*q^3*e*log(f*x + e)^2/f^3 + (f*x + e)*b^3*h^2*p^3*q^3*e^2*log(f*x + e)^3/f^3 + 3*(f*x + e)*b^3*g^2*p^2*q^3*log(f*x + e)^2*log(d)/f + 3*(f*x + e)^2*b^3*g*h*p^2*q^3*log(f*x + e)^2*log(d)/f^2 + (f*x + e)^3*b^3*h^2*p^2*q^3*log(f*x + e)^2*log(d)/f^3 - 6*(f*x + e)*b^3*g*h*p^2*q^3*e*log(f*x + e)^2*log(d)/f^2 - 3*(f*x + e)^2*b^3*h^2*p^2*q^3*e*log(f*x + e)^2*log(d)/f^3 + 6*(f*x + e)*b^3*g^2*p^3*q^3*log(f*x + e)/f + 3/2*(f*x + e)^2*b^3*g*h*p^3*q^3*log(f*x + e)/f^2 + 2/9*(f*x + e)^3*b^3*h^2*p^3*q^3*log(f*x + e)/f^3 - 12*(f*x + e)*b^3*g*h*p^3*q^3*e*log(f*x + e)/f^2 - 3/2*(f*x + e)^2*b^3*h^2*p^3*q^3*e*log(f*x + e)/f^3 - 3*(f*x + e)*b^3*h^2*p^3*q^3*e^2*log(f*x + e)^2/f^3 + 3*(f*x + e)*b^3*g^2*p^2*q^2*log(f*x + e)^2*log(c)/f + 3*(f*x + e)^2*b^3*g*h*p^2*q^2*log(f*x + e)^2*log(c)/f^2 + (f*x + e)^3*b^3*h^2*p^2*q^2*log(f*x + e)^2*log(c)/f^3 - 6*(f*x + e)*b^3*g*h*p^2*q^2*e*log(f*x + e)^2*log(c)/f^2 - 3*(f*x + e)^2*b^3*h^2*p^2*q^2*e*log(f*x + e)^2*log(c)/f^3 - 6*(f*x + e)*b^3*g^2*p^2*q^3*log(f*x + e)*log(d)/f - 3*(f*x + e)^2*b^3*g*h*p^2*q^3*log(f*x + e)*log(d)/f^2 - 2/3*(f*x + e)^3*b^3*h^2*p^2*q^3*log(f*x + e)*log(d)/f^3 + 12*(f*x + e)*b^3*g*h*p^2*q^3*e*log(f*x + e)*log(d)/f^2 + 3*(f*x + e)^2*b^3*h^2*p^2*q^3*e*log(f*x + e)*log(d)/f^3 + 3*(f*x + e)*b^3*h^2*p^2*q^3*e^2*log(f*x + e)^2*log(d)/f^3 + 3*(f*x + e)*b^3*g^2*p*q^3*log(f*x + e)*log(d)^2/f + 3*(f*x + e)^2*b^3*g*h*p*q^3*log(f*x + e)*log(d)^2/f^2 + (f*x + e)^3*b^3*h^2*p*q^3*log(f*x + e)*log(d)^2/f^3 - 6*(f*x + e)*b^3*g*h*p*q^3*e*log(f*x + e)*log(d)^2/f^2 - 3*(f*x + e)^2*b^3*h^2*p*q^3*e*log(f*x + e)*log(d)^2/f^3 - 6*(f*x + e)*b^3*g^2*p^3*q^3/f - 3/4*(f*x + e)^2*b^3*g*h*p^3*q^3/f^2 - 2/27*(f*x + e)^3*b^3*h^2*p^3*q^3/f^3 + 12*(f*x + e)*b^3*g*h*p^3*q^3*e/f^2 + 3/4*(f*x + e)^2*b^3*h^2*p^3*q^3*e/f^3 + 6*(f*x + e)*b^3*h^2*p^3*q^3*e^2*log(f*x + e)/f^3 + 3*(f*x + e)*a*b^2*g^2*p^2*q^2*log(f*x + e)^2/f + 3*(f*x + e)^2*a*b^2*g*h*p^2*q^2*log(f*x + e)^2/f^2 + (f*x + e)^3*a*b^2*h^2*p^2*q^2*log(f*x + e)^2/f^3 - 6*(f*x + e)*a*b^2*g*h*p^2*q^2*e*log(f*x + e)^2/f^2 - 3*(f*x + e)^2*a*b^2*h^2*p^2*q^2*e*log(f*x + e)^2/f^3 - 6*(f*x + e)*b^3*g^2*p^2*q^2*log(f*x + e)*log(c)/f - 3*(f*x + e)^2*b^3*g*h*p^2*q^2*log(f*x + e)*log(c)/f^2 - 2/3*(f*x + e)^3*b^3*h^2*p^2*q^2*log(f*x + e)*log(c)/f^3 + 12*(f*x + e)*b^3*g*h*p^2*q^2*e*log(f*x + e)*log(c)/f^2 + 3*(f*x + e)^2*b^3*h^2*p^2*q^2*e*log(f*x + e)*log(c)/f^3 + 3*(f*x + e)*b^3*h^2*p^2*q^2*e^2*log(f*x + e)^2*log(c)/f^3 + 6*(f*x + e)*b^3*g^2*p^2*q^3*log(d)/f + 3/2*(f*x + e)^2*b^3*g*h*p^2*q^3*log(d)/f^2 + 2/9*(f*x + e)^3*b^3*h^2*p^2*q^3*log(d)/f^3 - 12*(f*x + e)*b^3*g*h*p^2*q^3*e*log(d)/f^2 - 3/2*(f*x + e)^2*b^3*h^2*p^2*q^3*e*log(d)/f^3 - 6*(f*x + e)*b^3*h^2*p^2*q^3*e^2*log(f*x + e)*log(d)/f^3 + 6*(f*x + e)*b^3*g^2*p*q^2*log(f*x + e)*log(c)*log(d)/f + 6*(f*x + e)^2*b^3*g*h*p*q^2*log(f*x + e)*log(c)*log(d)/f^2 + 2*(f*x + e)^3*b^3*h^2*p*q^2*log(f*x + e)*log(c)*log(d)/f^3 - 12*(f*x + e)*b^3*g*h*p*q^2*e*log(f*x + e)*log(c)*log(d)/f^2 - 6*(f*x + e)^2*b^3*h^2*p*q^2*e*log(f*x + e)*log(c)*log(d)/f^3 - 3*(f*x + e)*b^3*g^2*p*q^3*log(d)^2/f - 3/2*(f*x + e)^2*b^3*g*h*p*q^3*log(d)^2/f^2 - 1/3*(f*x + e)^3*b^3*h^2*p*q^3*log(d)^2/f^3 + 6*(f*x + e)*b^3*g*h*p*q^3*e*log(d)^2/f^2 + 3/2*(f*x + e)^2*b^3*h^2*p*q^3*e*log(d)^2/f^3 + 3*(f*x + e)*b^3*h^2*p*q^3*e^2*log(f*x + e)*log(d)^2/f^3 + (f*x + e)*b^3*g^2*q^3*log(d)^3/f + (f*x + e)^2*b^3*g*h*q^3*log(d)^3/f^2 + 1/3*(f*x + e)^3*b^3*h^2*q^3*log(d)^3/f^3 - 2*(f*x + e)*b^3*g*h*q^3*e*log(d)^3/f^2 - (f*x + e)^2*b^3*h^2*q^3*e*log(d)^3/f^3 - 6*(f*x + e)*b^3*h^2*p^3*q^3*e^2/f^3 - 6*(f*x + e)*a*b^2*g^2*p^2*q^2*log(f*x + e)/f - 3*(f*x + e)^2*a*b^2*g*h*p^2*q^2*log(f*x + e)/f^2 - 2/3*(f*x + e)^3*a*b^2*h^2*p^2*q^2*log(f*x + e)/f^3 + 12*(f*x + e)*a*b^2*g*h*p^2*q^2*e*log(f*x + e)/f^2 + 3*(f*x + e)^2*a*b^2*h^2*p^2*q^2*e*log(f*x + e)/f^3 + 3*(f*x + e)*a*b^2*h^2*p^2*q^2*e^2*log(f*x + e)^2/f^3 + 6*(f*x + e)*b^3*g^2*p^2*q^2*log(c)/f + 3/2*(f*x + e)^2*b^3*g*h*p^2*q^2*log(c)/f^2 + 2/9*(f*x + e)^3*b^3*h^2*p^2*q^2*log(c)/f^3 - 12*(f*x + e)*b^3*g*h*p^2*q^2*e*log(c)/f^2 - 3/2*(f*x + e)^2*b^3*h^2*p^2*q^2*e*log(c)/f^3 - 6*(f*x + e)*b^3*h^2*p^2*q^2*e^2*log(f*x + e)*log(c)/f^3 + 3*(f*x + e)*b^3*g^2*p*q*log(f*x + e)*log(c)^2/f + 3*(f*x + e)^2*b^3*g*h*p*q*log(f*x + e)*log(c)^2/f^2 + (f*x + e)^3*b^3*h^2*p*q*log(f*x + e)*log(c)^2/f^3 - 6*(f*x + e)*b^3*g*h*p*q*e*log(f*x + e)*log(c)^2/f^2 - 3*(f*x + e)^2*b^3*h^2*p*q*e*log(f*x + e)*log(c)^2/f^3 + 6*(f*x + e)*b^3*h^2*p^2*q^3*e^2*log(d)/f^3 + 6*(f*x + e)*a*b^2*g^2*p*q^2*log(f*x + e)*log(d)/f + 6*(f*x + e)^2*a*b^2*g*h*p*q^2*log(f*x + e)*log(d)/f^2 + 2*(f*x + e)^3*a*b^2*h^2*p*q^2*log(f*x + e)*log(d)/f^3 - 12*(f*x + e)*a*b^2*g*h*p*q^2*e*log(f*x + e)*log(d)/f^2 - 6*(f*x + e)^2*a*b^2*h^2*p*q^2*e*log(f*x + e)*log(d)/f^3 - 6*(f*x + e)*b^3*g^2*p*q^2*log(c)*log(d)/f - 3*(f*x + e)^2*b^3*g*h*p*q^2*log(c)*log(d)/f^2 - 2/3*(f*x + e)^3*b^3*h^2*p*q^2*log(c)*log(d)/f^3 + 12*(f*x + e)*b^3*g*h*p*q^2*e*log(c)*log(d)/f^2 + 3*(f*x + e)^2*b^3*h^2*p*q^2*e*log(c)*log(d)/f^3 + 6*(f*x + e)*b^3*h^2*p*q^2*e^2*log(f*x + e)*log(c)*log(d)/f^3 - 3*(f*x + e)*b^3*h^2*p*q^3*e^2*log(d)^2/f^3 + 3*(f*x + e)*b^3*g^2*q^2*log(c)*log(d)^2/f + 3*(f*x + e)^2*b^3*g*h*q^2*log(c)*log(d)^2/f^2 + (f*x + e)^3*b^3*h^2*q^2*log(c)*log(d)^2/f^3 - 6*(f*x + e)*b^3*g*h*q^2*e*log(c)*log(d)^2/f^2 - 3*(f*x + e)^2*b^3*h^2*q^2*e*log(c)*log(d)^2/f^3 + (f*x + e)*b^3*h^2*q^3*e^2*log(d)^3/f^3 + 6*(f*x + e)*a*b^2*g^2*p^2*q^2/f + 3/2*(f*x + e)^2*a*b^2*g*h*p^2*q^2/f^2 + 2/9*(f*x + e)^3*a*b^2*h^2*p^2*q^2/f^3 - 12*(f*x + e)*a*b^2*g*h*p^2*q^2*e/f^2 - 3/2*(f*x + e)^2*a*b^2*h^2*p^2*q^2*e/f^3 - 6*(f*x + e)*a*b^2*h^2*p^2*q^2*e^2*log(f*x + e)/f^3 + 6*(f*x + e)*b^3*h^2*p^2*q^2*e^2*log(c)/f^3 + 6*(f*x + e)*a*b^2*g^2*p*q*log(f*x + e)*log(c)/f + 6*(f*x + e)^2*a*b^2*g*h*p*q*log(f*x + e)*log(c)/f^2 + 2*(f*x + e)^3*a*b^2*h^2*p*q*log(f*x + e)*log(c)/f^3 - 12*(f*x + e)*a*b^2*g*h*p*q*e*log(f*x + e)*log(c)/f^2 - 6*(f*x + e)^2*a*b^2*h^2*p*q*e*log(f*x + e)*log(c)/f^3 - 3*(f*x + e)*b^3*g^2*p*q*log(c)^2/f - 3/2*(f*x + e)^2*b^3*g*h*p*q*log(c)^2/f^2 - 1/3*(f*x + e)^3*b^3*h^2*p*q*log(c)^2/f^3 + 6*(f*x + e)*b^3*g*h*p*q*e*log(c)^2/f^2 + 3/2*(f*x + e)^2*b^3*h^2*p*q*e*log(c)^2/f^3 + 3*(f*x + e)*b^3*h^2*p*q*e^2*log(f*x + e)*log(c)^2/f^3 - 6*(f*x + e)*a*b^2*g^2*p*q^2*log(d)/f - 3*(f*x + e)^2*a*b^2*g*h*p*q^2*log(d)/f^2 - 2/3*(f*x + e)^3*a*b^2*h^2*p*q^2*log(d)/f^3 + 12*(f*x + e)*a*b^2*g*h*p*q^2*e*log(d)/f^2 + 3*(f*x + e)^2*a*b^2*h^2*p*q^2*e*log(d)/f^3 + 6*(f*x + e)*a*b^2*h^2*p*q^2*e^2*log(f*x + e)*log(d)/f^3 - 6*(f*x + e)*b^3*h^2*p*q^2*e^2*log(c)*log(d)/f^3 + 3*(f*x + e)*b^3*g^2*q*log(c)^2*log(d)/f + 3*(f*x + e)^2*b^3*g*h*q*log(c)^2*log(d)/f^2 + (f*x + e)^3*b^3*h^2*q*log(c)^2*log(d)/f^3 - 6*(f*x + e)*b^3*g*h*q*e*log(c)^2*log(d)/f^2 - 3*(f*x + e)^2*b^3*h^2*q*e*log(c)^2*log(d)/f^3 + 3*(f*x + e)*a*b^2*g^2*q^2*log(d)^2/f + 3*(f*x + e)^2*a*b^2*g*h*q^2*log(d)^2/f^2 + (f*x + e)^3*a*b^2*h^2*q^2*log(d)^2/f^3 - 6*(f*x + e)*a*b^2*g*h*q^2*e*log(d)^2/f^2 - 3*(f*x + e)^2*a*b^2*h^2*q^2*e*log(d)^2/f^3 + 3*(f*x + e)*b^3*h^2*q^2*e^2*log(c)*log(d)^2/f^3 + 6*(f*x + e)*a*b^2*h^2*p^2*q^2*e^2/f^3 + 3*(f*x + e)*a^2*b*g^2*p*q*log(f*x + e)/f + 3*(f*x + e)^2*a^2*b*g*h*p*q*log(f*x + e)/f^2 + (f*x + e)^3*a^2*b*h^2*p*q*log(f*x + e)/f^3 - 6*(f*x + e)*a^2*b*g*h*p*q*e*log(f*x + e)/f^2 - 3*(f*x + e)^2*a^2*b*h^2*p*q*e*log(f*x + e)/f^3 - 6*(f*x + e)*a*b^2*g^2*p*q*log(c)/f - 3*(f*x + e)^2*a*b^2*g*h*p*q*log(c)/f^2 - 2/3*(f*x + e)^3*a*b^2*h^2*p*q*log(c)/f^3 + 12*(f*x + e)*a*b^2*g*h*p*q*e*log(c)/f^2 + 3*(f*x + e)^2*a*b^2*h^2*p*q*e*log(c)/f^3 + 6*(f*x + e)*a*b^2*h^2*p*q*e^2*log(f*x + e)*log(c)/f^3 - 3*(f*x + e)*b^3*h^2*p*q*e^2*log(c)^2/f^3 + (f*x + e)*b^3*g^2*log(c)^3/f + (f*x + e)^2*b^3*g*h*log(c)^3/f^2 + 1/3*(f*x + e)^3*b^3*h^2*log(c)^3/f^3 - 2*(f*x + e)*b^3*g*h*e*log(c)^3/f^2 - (f*x + e)^2*b^3*h^2*e*log(c)^3/f^3 - 6*(f*x + e)*a*b^2*h^2*p*q^2*e^2*log(d)/f^3 + 6*(f*x + e)*a*b^2*g^2*q*log(c)*log(d)/f + 6*(f*x + e)^2*a*b^2*g*h*q*log(c)*log(d)/f^2 + 2*(f*x + e)^3*a*b^2*h^2*q*log(c)*log(d)/f^3 - 12*(f*x + e)*a*b^2*g*h*q*e*log(c)*log(d)/f^2 - 6*(f*x + e)^2*a*b^2*h^2*q*e*log(c)*log(d)/f^3 + 3*(f*x + e)*b^3*h^2*q*e^2*log(c)^2*log(d)/f^3 + 3*(f*x + e)*a*b^2*h^2*q^2*e^2*log(d)^2/f^3 - 3*(f*x + e)*a^2*b*g^2*p*q/f - 3/2*(f*x + e)^2*a^2*b*g*h*p*q/f^2 - 1/3*(f*x + e)^3*a^2*b*h^2*p*q/f^3 + 6*(f*x + e)*a^2*b*g*h*p*q*e/f^2 + 3/2*(f*x + e)^2*a^2*b*h^2*p*q*e/f^3 + 3*(f*x + e)*a^2*b*h^2*p*q*e^2*log(f*x + e)/f^3 - 6*(f*x + e)*a*b^2*h^2*p*q*e^2*log(c)/f^3 + 3*(f*x + e)*a*b^2*g^2*log(c)^2/f + 3*(f*x + e)^2*a*b^2*g*h*log(c)^2/f^2 + (f*x + e)^3*a*b^2*h^2*log(c)^2/f^3 - 6*(f*x + e)*a*b^2*g*h*e*log(c)^2/f^2 - 3*(f*x + e)^2*a*b^2*h^2*e*log(c)^2/f^3 + (f*x + e)*b^3*h^2*e^2*log(c)^3/f^3 + 3*(f*x + e)*a^2*b*g^2*q*log(d)/f + 3*(f*x + e)^2*a^2*b*g*h*q*log(d)/f^2 + (f*x + e)^3*a^2*b*h^2*q*log(d)/f^3 - 6*(f*x + e)*a^2*b*g*h*q*e*log(d)/f^2 - 3*(f*x + e)^2*a^2*b*h^2*q*e*log(d)/f^3 + 6*(f*x + e)*a*b^2*h^2*q*e^2*log(c)*log(d)/f^3 - 3*(f*x + e)*a^2*b*h^2*p*q*e^2/f^3 + 3*(f*x + e)*a^2*b*g^2*log(c)/f + 3*(f*x + e)^2*a^2*b*g*h*log(c)/f^2 + (f*x + e)^3*a^2*b*h^2*log(c)/f^3 - 6*(f*x + e)*a^2*b*g*h*e*log(c)/f^2 - 3*(f*x + e)^2*a^2*b*h^2*e*log(c)/f^3 + 3*(f*x + e)*a*b^2*h^2*e^2*log(c)^2/f^3 + 3*(f*x + e)*a^2*b*h^2*q*e^2*log(d)/f^3 + (f*x + e)*a^3*g^2/f + (f*x + e)^2*a^3*g*h/f^2 + 1/3*(f*x + e)^3*a^3*h^2/f^3 - 2*(f*x + e)*a^3*g*h*e/f^2 - (f*x + e)^2*a^3*h^2*e/f^3 + 3*(f*x + e)*a^2*b*h^2*e^2*log(c)/f^3 + (f*x + e)*a^3*h^2*e^2/f^3","B",0
436,1,2717,0,0.384743," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b^{3} g p^{3} q^{3} \log\left(f x + e\right)^{3}}{f} + \frac{{\left(f x + e\right)}^{2} b^{3} h p^{3} q^{3} \log\left(f x + e\right)^{3}}{2 \, f^{2}} - \frac{{\left(f x + e\right)} b^{3} h p^{3} q^{3} e \log\left(f x + e\right)^{3}}{f^{2}} - \frac{3 \, {\left(f x + e\right)} b^{3} g p^{3} q^{3} \log\left(f x + e\right)^{2}}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p^{3} q^{3} \log\left(f x + e\right)^{2}}{4 \, f^{2}} + \frac{3 \, {\left(f x + e\right)} b^{3} h p^{3} q^{3} e \log\left(f x + e\right)^{2}}{f^{2}} + \frac{3 \, {\left(f x + e\right)} b^{3} g p^{2} q^{3} \log\left(f x + e\right)^{2} \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p^{2} q^{3} \log\left(f x + e\right)^{2} \log\left(d\right)}{2 \, f^{2}} - \frac{3 \, {\left(f x + e\right)} b^{3} h p^{2} q^{3} e \log\left(f x + e\right)^{2} \log\left(d\right)}{f^{2}} + \frac{6 \, {\left(f x + e\right)} b^{3} g p^{3} q^{3} \log\left(f x + e\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p^{3} q^{3} \log\left(f x + e\right)}{4 \, f^{2}} - \frac{6 \, {\left(f x + e\right)} b^{3} h p^{3} q^{3} e \log\left(f x + e\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)} b^{3} g p^{2} q^{2} \log\left(f x + e\right)^{2} \log\left(c\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p^{2} q^{2} \log\left(f x + e\right)^{2} \log\left(c\right)}{2 \, f^{2}} - \frac{3 \, {\left(f x + e\right)} b^{3} h p^{2} q^{2} e \log\left(f x + e\right)^{2} \log\left(c\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)} b^{3} g p^{2} q^{3} \log\left(f x + e\right) \log\left(d\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p^{2} q^{3} \log\left(f x + e\right) \log\left(d\right)}{2 \, f^{2}} + \frac{6 \, {\left(f x + e\right)} b^{3} h p^{2} q^{3} e \log\left(f x + e\right) \log\left(d\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)} b^{3} g p q^{3} \log\left(f x + e\right) \log\left(d\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p q^{3} \log\left(f x + e\right) \log\left(d\right)^{2}}{2 \, f^{2}} - \frac{3 \, {\left(f x + e\right)} b^{3} h p q^{3} e \log\left(f x + e\right) \log\left(d\right)^{2}}{f^{2}} - \frac{6 \, {\left(f x + e\right)} b^{3} g p^{3} q^{3}}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p^{3} q^{3}}{8 \, f^{2}} + \frac{6 \, {\left(f x + e\right)} b^{3} h p^{3} q^{3} e}{f^{2}} + \frac{3 \, {\left(f x + e\right)} a b^{2} g p^{2} q^{2} \log\left(f x + e\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h p^{2} q^{2} \log\left(f x + e\right)^{2}}{2 \, f^{2}} - \frac{3 \, {\left(f x + e\right)} a b^{2} h p^{2} q^{2} e \log\left(f x + e\right)^{2}}{f^{2}} - \frac{6 \, {\left(f x + e\right)} b^{3} g p^{2} q^{2} \log\left(f x + e\right) \log\left(c\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p^{2} q^{2} \log\left(f x + e\right) \log\left(c\right)}{2 \, f^{2}} + \frac{6 \, {\left(f x + e\right)} b^{3} h p^{2} q^{2} e \log\left(f x + e\right) \log\left(c\right)}{f^{2}} + \frac{6 \, {\left(f x + e\right)} b^{3} g p^{2} q^{3} \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p^{2} q^{3} \log\left(d\right)}{4 \, f^{2}} - \frac{6 \, {\left(f x + e\right)} b^{3} h p^{2} q^{3} e \log\left(d\right)}{f^{2}} + \frac{6 \, {\left(f x + e\right)} b^{3} g p q^{2} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p q^{2} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)} b^{3} h p q^{2} e \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)} b^{3} g p q^{3} \log\left(d\right)^{2}}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p q^{3} \log\left(d\right)^{2}}{4 \, f^{2}} + \frac{3 \, {\left(f x + e\right)} b^{3} h p q^{3} e \log\left(d\right)^{2}}{f^{2}} + \frac{{\left(f x + e\right)} b^{3} g q^{3} \log\left(d\right)^{3}}{f} + \frac{{\left(f x + e\right)}^{2} b^{3} h q^{3} \log\left(d\right)^{3}}{2 \, f^{2}} - \frac{{\left(f x + e\right)} b^{3} h q^{3} e \log\left(d\right)^{3}}{f^{2}} - \frac{6 \, {\left(f x + e\right)} a b^{2} g p^{2} q^{2} \log\left(f x + e\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h p^{2} q^{2} \log\left(f x + e\right)}{2 \, f^{2}} + \frac{6 \, {\left(f x + e\right)} a b^{2} h p^{2} q^{2} e \log\left(f x + e\right)}{f^{2}} + \frac{6 \, {\left(f x + e\right)} b^{3} g p^{2} q^{2} \log\left(c\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p^{2} q^{2} \log\left(c\right)}{4 \, f^{2}} - \frac{6 \, {\left(f x + e\right)} b^{3} h p^{2} q^{2} e \log\left(c\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)} b^{3} g p q \log\left(f x + e\right) \log\left(c\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p q \log\left(f x + e\right) \log\left(c\right)^{2}}{2 \, f^{2}} - \frac{3 \, {\left(f x + e\right)} b^{3} h p q e \log\left(f x + e\right) \log\left(c\right)^{2}}{f^{2}} + \frac{6 \, {\left(f x + e\right)} a b^{2} g p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)} a b^{2} h p q^{2} e \log\left(f x + e\right) \log\left(d\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)} b^{3} g p q^{2} \log\left(c\right) \log\left(d\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p q^{2} \log\left(c\right) \log\left(d\right)}{2 \, f^{2}} + \frac{6 \, {\left(f x + e\right)} b^{3} h p q^{2} e \log\left(c\right) \log\left(d\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)} b^{3} g q^{2} \log\left(c\right) \log\left(d\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h q^{2} \log\left(c\right) \log\left(d\right)^{2}}{2 \, f^{2}} - \frac{3 \, {\left(f x + e\right)} b^{3} h q^{2} e \log\left(c\right) \log\left(d\right)^{2}}{f^{2}} + \frac{6 \, {\left(f x + e\right)} a b^{2} g p^{2} q^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h p^{2} q^{2}}{4 \, f^{2}} - \frac{6 \, {\left(f x + e\right)} a b^{2} h p^{2} q^{2} e}{f^{2}} + \frac{6 \, {\left(f x + e\right)} a b^{2} g p q \log\left(f x + e\right) \log\left(c\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h p q \log\left(f x + e\right) \log\left(c\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)} a b^{2} h p q e \log\left(f x + e\right) \log\left(c\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)} b^{3} g p q \log\left(c\right)^{2}}{f} - \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h p q \log\left(c\right)^{2}}{4 \, f^{2}} + \frac{3 \, {\left(f x + e\right)} b^{3} h p q e \log\left(c\right)^{2}}{f^{2}} - \frac{6 \, {\left(f x + e\right)} a b^{2} g p q^{2} \log\left(d\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h p q^{2} \log\left(d\right)}{2 \, f^{2}} + \frac{6 \, {\left(f x + e\right)} a b^{2} h p q^{2} e \log\left(d\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)} b^{3} g q \log\left(c\right)^{2} \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} b^{3} h q \log\left(c\right)^{2} \log\left(d\right)}{2 \, f^{2}} - \frac{3 \, {\left(f x + e\right)} b^{3} h q e \log\left(c\right)^{2} \log\left(d\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)} a b^{2} g q^{2} \log\left(d\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h q^{2} \log\left(d\right)^{2}}{2 \, f^{2}} - \frac{3 \, {\left(f x + e\right)} a b^{2} h q^{2} e \log\left(d\right)^{2}}{f^{2}} + \frac{3 \, {\left(f x + e\right)} a^{2} b g p q \log\left(f x + e\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a^{2} b h p q \log\left(f x + e\right)}{2 \, f^{2}} - \frac{3 \, {\left(f x + e\right)} a^{2} b h p q e \log\left(f x + e\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)} a b^{2} g p q \log\left(c\right)}{f} - \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h p q \log\left(c\right)}{2 \, f^{2}} + \frac{6 \, {\left(f x + e\right)} a b^{2} h p q e \log\left(c\right)}{f^{2}} + \frac{{\left(f x + e\right)} b^{3} g \log\left(c\right)^{3}}{f} + \frac{{\left(f x + e\right)}^{2} b^{3} h \log\left(c\right)^{3}}{2 \, f^{2}} - \frac{{\left(f x + e\right)} b^{3} h e \log\left(c\right)^{3}}{f^{2}} + \frac{6 \, {\left(f x + e\right)} a b^{2} g q \log\left(c\right) \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h q \log\left(c\right) \log\left(d\right)}{f^{2}} - \frac{6 \, {\left(f x + e\right)} a b^{2} h q e \log\left(c\right) \log\left(d\right)}{f^{2}} - \frac{3 \, {\left(f x + e\right)} a^{2} b g p q}{f} - \frac{3 \, {\left(f x + e\right)}^{2} a^{2} b h p q}{4 \, f^{2}} + \frac{3 \, {\left(f x + e\right)} a^{2} b h p q e}{f^{2}} + \frac{3 \, {\left(f x + e\right)} a b^{2} g \log\left(c\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a b^{2} h \log\left(c\right)^{2}}{2 \, f^{2}} - \frac{3 \, {\left(f x + e\right)} a b^{2} h e \log\left(c\right)^{2}}{f^{2}} + \frac{3 \, {\left(f x + e\right)} a^{2} b g q \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a^{2} b h q \log\left(d\right)}{2 \, f^{2}} - \frac{3 \, {\left(f x + e\right)} a^{2} b h q e \log\left(d\right)}{f^{2}} + \frac{3 \, {\left(f x + e\right)} a^{2} b g \log\left(c\right)}{f} + \frac{3 \, {\left(f x + e\right)}^{2} a^{2} b h \log\left(c\right)}{2 \, f^{2}} - \frac{3 \, {\left(f x + e\right)} a^{2} b h e \log\left(c\right)}{f^{2}} + \frac{{\left(f x + e\right)} a^{3} g}{f} + \frac{{\left(f x + e\right)}^{2} a^{3} h}{2 \, f^{2}} - \frac{{\left(f x + e\right)} a^{3} h e}{f^{2}}"," ",0,"(f*x + e)*b^3*g*p^3*q^3*log(f*x + e)^3/f + 1/2*(f*x + e)^2*b^3*h*p^3*q^3*log(f*x + e)^3/f^2 - (f*x + e)*b^3*h*p^3*q^3*e*log(f*x + e)^3/f^2 - 3*(f*x + e)*b^3*g*p^3*q^3*log(f*x + e)^2/f - 3/4*(f*x + e)^2*b^3*h*p^3*q^3*log(f*x + e)^2/f^2 + 3*(f*x + e)*b^3*h*p^3*q^3*e*log(f*x + e)^2/f^2 + 3*(f*x + e)*b^3*g*p^2*q^3*log(f*x + e)^2*log(d)/f + 3/2*(f*x + e)^2*b^3*h*p^2*q^3*log(f*x + e)^2*log(d)/f^2 - 3*(f*x + e)*b^3*h*p^2*q^3*e*log(f*x + e)^2*log(d)/f^2 + 6*(f*x + e)*b^3*g*p^3*q^3*log(f*x + e)/f + 3/4*(f*x + e)^2*b^3*h*p^3*q^3*log(f*x + e)/f^2 - 6*(f*x + e)*b^3*h*p^3*q^3*e*log(f*x + e)/f^2 + 3*(f*x + e)*b^3*g*p^2*q^2*log(f*x + e)^2*log(c)/f + 3/2*(f*x + e)^2*b^3*h*p^2*q^2*log(f*x + e)^2*log(c)/f^2 - 3*(f*x + e)*b^3*h*p^2*q^2*e*log(f*x + e)^2*log(c)/f^2 - 6*(f*x + e)*b^3*g*p^2*q^3*log(f*x + e)*log(d)/f - 3/2*(f*x + e)^2*b^3*h*p^2*q^3*log(f*x + e)*log(d)/f^2 + 6*(f*x + e)*b^3*h*p^2*q^3*e*log(f*x + e)*log(d)/f^2 + 3*(f*x + e)*b^3*g*p*q^3*log(f*x + e)*log(d)^2/f + 3/2*(f*x + e)^2*b^3*h*p*q^3*log(f*x + e)*log(d)^2/f^2 - 3*(f*x + e)*b^3*h*p*q^3*e*log(f*x + e)*log(d)^2/f^2 - 6*(f*x + e)*b^3*g*p^3*q^3/f - 3/8*(f*x + e)^2*b^3*h*p^3*q^3/f^2 + 6*(f*x + e)*b^3*h*p^3*q^3*e/f^2 + 3*(f*x + e)*a*b^2*g*p^2*q^2*log(f*x + e)^2/f + 3/2*(f*x + e)^2*a*b^2*h*p^2*q^2*log(f*x + e)^2/f^2 - 3*(f*x + e)*a*b^2*h*p^2*q^2*e*log(f*x + e)^2/f^2 - 6*(f*x + e)*b^3*g*p^2*q^2*log(f*x + e)*log(c)/f - 3/2*(f*x + e)^2*b^3*h*p^2*q^2*log(f*x + e)*log(c)/f^2 + 6*(f*x + e)*b^3*h*p^2*q^2*e*log(f*x + e)*log(c)/f^2 + 6*(f*x + e)*b^3*g*p^2*q^3*log(d)/f + 3/4*(f*x + e)^2*b^3*h*p^2*q^3*log(d)/f^2 - 6*(f*x + e)*b^3*h*p^2*q^3*e*log(d)/f^2 + 6*(f*x + e)*b^3*g*p*q^2*log(f*x + e)*log(c)*log(d)/f + 3*(f*x + e)^2*b^3*h*p*q^2*log(f*x + e)*log(c)*log(d)/f^2 - 6*(f*x + e)*b^3*h*p*q^2*e*log(f*x + e)*log(c)*log(d)/f^2 - 3*(f*x + e)*b^3*g*p*q^3*log(d)^2/f - 3/4*(f*x + e)^2*b^3*h*p*q^3*log(d)^2/f^2 + 3*(f*x + e)*b^3*h*p*q^3*e*log(d)^2/f^2 + (f*x + e)*b^3*g*q^3*log(d)^3/f + 1/2*(f*x + e)^2*b^3*h*q^3*log(d)^3/f^2 - (f*x + e)*b^3*h*q^3*e*log(d)^3/f^2 - 6*(f*x + e)*a*b^2*g*p^2*q^2*log(f*x + e)/f - 3/2*(f*x + e)^2*a*b^2*h*p^2*q^2*log(f*x + e)/f^2 + 6*(f*x + e)*a*b^2*h*p^2*q^2*e*log(f*x + e)/f^2 + 6*(f*x + e)*b^3*g*p^2*q^2*log(c)/f + 3/4*(f*x + e)^2*b^3*h*p^2*q^2*log(c)/f^2 - 6*(f*x + e)*b^3*h*p^2*q^2*e*log(c)/f^2 + 3*(f*x + e)*b^3*g*p*q*log(f*x + e)*log(c)^2/f + 3/2*(f*x + e)^2*b^3*h*p*q*log(f*x + e)*log(c)^2/f^2 - 3*(f*x + e)*b^3*h*p*q*e*log(f*x + e)*log(c)^2/f^2 + 6*(f*x + e)*a*b^2*g*p*q^2*log(f*x + e)*log(d)/f + 3*(f*x + e)^2*a*b^2*h*p*q^2*log(f*x + e)*log(d)/f^2 - 6*(f*x + e)*a*b^2*h*p*q^2*e*log(f*x + e)*log(d)/f^2 - 6*(f*x + e)*b^3*g*p*q^2*log(c)*log(d)/f - 3/2*(f*x + e)^2*b^3*h*p*q^2*log(c)*log(d)/f^2 + 6*(f*x + e)*b^3*h*p*q^2*e*log(c)*log(d)/f^2 + 3*(f*x + e)*b^3*g*q^2*log(c)*log(d)^2/f + 3/2*(f*x + e)^2*b^3*h*q^2*log(c)*log(d)^2/f^2 - 3*(f*x + e)*b^3*h*q^2*e*log(c)*log(d)^2/f^2 + 6*(f*x + e)*a*b^2*g*p^2*q^2/f + 3/4*(f*x + e)^2*a*b^2*h*p^2*q^2/f^2 - 6*(f*x + e)*a*b^2*h*p^2*q^2*e/f^2 + 6*(f*x + e)*a*b^2*g*p*q*log(f*x + e)*log(c)/f + 3*(f*x + e)^2*a*b^2*h*p*q*log(f*x + e)*log(c)/f^2 - 6*(f*x + e)*a*b^2*h*p*q*e*log(f*x + e)*log(c)/f^2 - 3*(f*x + e)*b^3*g*p*q*log(c)^2/f - 3/4*(f*x + e)^2*b^3*h*p*q*log(c)^2/f^2 + 3*(f*x + e)*b^3*h*p*q*e*log(c)^2/f^2 - 6*(f*x + e)*a*b^2*g*p*q^2*log(d)/f - 3/2*(f*x + e)^2*a*b^2*h*p*q^2*log(d)/f^2 + 6*(f*x + e)*a*b^2*h*p*q^2*e*log(d)/f^2 + 3*(f*x + e)*b^3*g*q*log(c)^2*log(d)/f + 3/2*(f*x + e)^2*b^3*h*q*log(c)^2*log(d)/f^2 - 3*(f*x + e)*b^3*h*q*e*log(c)^2*log(d)/f^2 + 3*(f*x + e)*a*b^2*g*q^2*log(d)^2/f + 3/2*(f*x + e)^2*a*b^2*h*q^2*log(d)^2/f^2 - 3*(f*x + e)*a*b^2*h*q^2*e*log(d)^2/f^2 + 3*(f*x + e)*a^2*b*g*p*q*log(f*x + e)/f + 3/2*(f*x + e)^2*a^2*b*h*p*q*log(f*x + e)/f^2 - 3*(f*x + e)*a^2*b*h*p*q*e*log(f*x + e)/f^2 - 6*(f*x + e)*a*b^2*g*p*q*log(c)/f - 3/2*(f*x + e)^2*a*b^2*h*p*q*log(c)/f^2 + 6*(f*x + e)*a*b^2*h*p*q*e*log(c)/f^2 + (f*x + e)*b^3*g*log(c)^3/f + 1/2*(f*x + e)^2*b^3*h*log(c)^3/f^2 - (f*x + e)*b^3*h*e*log(c)^3/f^2 + 6*(f*x + e)*a*b^2*g*q*log(c)*log(d)/f + 3*(f*x + e)^2*a*b^2*h*q*log(c)*log(d)/f^2 - 6*(f*x + e)*a*b^2*h*q*e*log(c)*log(d)/f^2 - 3*(f*x + e)*a^2*b*g*p*q/f - 3/4*(f*x + e)^2*a^2*b*h*p*q/f^2 + 3*(f*x + e)*a^2*b*h*p*q*e/f^2 + 3*(f*x + e)*a*b^2*g*log(c)^2/f + 3/2*(f*x + e)^2*a*b^2*h*log(c)^2/f^2 - 3*(f*x + e)*a*b^2*h*e*log(c)^2/f^2 + 3*(f*x + e)*a^2*b*g*q*log(d)/f + 3/2*(f*x + e)^2*a^2*b*h*q*log(d)/f^2 - 3*(f*x + e)*a^2*b*h*q*e*log(d)/f^2 + 3*(f*x + e)*a^2*b*g*log(c)/f + 3/2*(f*x + e)^2*a^2*b*h*log(c)/f^2 - 3*(f*x + e)*a^2*b*h*e*log(c)/f^2 + (f*x + e)*a^3*g/f + 1/2*(f*x + e)^2*a^3*h/f^2 - (f*x + e)*a^3*h*e/f^2","B",0
437,1,822,0,0.217484," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b^{3} p^{3} q^{3} \log\left(f x + e\right)^{3}}{f} - \frac{3 \, {\left(f x + e\right)} b^{3} p^{3} q^{3} \log\left(f x + e\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)} b^{3} p^{2} q^{3} \log\left(f x + e\right)^{2} \log\left(d\right)}{f} + \frac{6 \, {\left(f x + e\right)} b^{3} p^{3} q^{3} \log\left(f x + e\right)}{f} + \frac{3 \, {\left(f x + e\right)} b^{3} p^{2} q^{2} \log\left(f x + e\right)^{2} \log\left(c\right)}{f} - \frac{6 \, {\left(f x + e\right)} b^{3} p^{2} q^{3} \log\left(f x + e\right) \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)} b^{3} p q^{3} \log\left(f x + e\right) \log\left(d\right)^{2}}{f} - \frac{6 \, {\left(f x + e\right)} b^{3} p^{3} q^{3}}{f} + \frac{3 \, {\left(f x + e\right)} a b^{2} p^{2} q^{2} \log\left(f x + e\right)^{2}}{f} - \frac{6 \, {\left(f x + e\right)} b^{3} p^{2} q^{2} \log\left(f x + e\right) \log\left(c\right)}{f} + \frac{6 \, {\left(f x + e\right)} b^{3} p^{2} q^{3} \log\left(d\right)}{f} + \frac{6 \, {\left(f x + e\right)} b^{3} p q^{2} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f} - \frac{3 \, {\left(f x + e\right)} b^{3} p q^{3} \log\left(d\right)^{2}}{f} + \frac{{\left(f x + e\right)} b^{3} q^{3} \log\left(d\right)^{3}}{f} - \frac{6 \, {\left(f x + e\right)} a b^{2} p^{2} q^{2} \log\left(f x + e\right)}{f} + \frac{6 \, {\left(f x + e\right)} b^{3} p^{2} q^{2} \log\left(c\right)}{f} + \frac{3 \, {\left(f x + e\right)} b^{3} p q \log\left(f x + e\right) \log\left(c\right)^{2}}{f} + \frac{6 \, {\left(f x + e\right)} a b^{2} p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f} - \frac{6 \, {\left(f x + e\right)} b^{3} p q^{2} \log\left(c\right) \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)} b^{3} q^{2} \log\left(c\right) \log\left(d\right)^{2}}{f} + \frac{6 \, {\left(f x + e\right)} a b^{2} p^{2} q^{2}}{f} + \frac{6 \, {\left(f x + e\right)} a b^{2} p q \log\left(f x + e\right) \log\left(c\right)}{f} - \frac{3 \, {\left(f x + e\right)} b^{3} p q \log\left(c\right)^{2}}{f} - \frac{6 \, {\left(f x + e\right)} a b^{2} p q^{2} \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)} b^{3} q \log\left(c\right)^{2} \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)} a b^{2} q^{2} \log\left(d\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)} a^{2} b p q \log\left(f x + e\right)}{f} - \frac{6 \, {\left(f x + e\right)} a b^{2} p q \log\left(c\right)}{f} + \frac{{\left(f x + e\right)} b^{3} \log\left(c\right)^{3}}{f} + \frac{6 \, {\left(f x + e\right)} a b^{2} q \log\left(c\right) \log\left(d\right)}{f} - \frac{3 \, {\left(f x + e\right)} a^{2} b p q}{f} + \frac{3 \, {\left(f x + e\right)} a b^{2} \log\left(c\right)^{2}}{f} + \frac{3 \, {\left(f x + e\right)} a^{2} b q \log\left(d\right)}{f} + \frac{3 \, {\left(f x + e\right)} a^{2} b \log\left(c\right)}{f} + \frac{{\left(f x + e\right)} a^{3}}{f}"," ",0,"(f*x + e)*b^3*p^3*q^3*log(f*x + e)^3/f - 3*(f*x + e)*b^3*p^3*q^3*log(f*x + e)^2/f + 3*(f*x + e)*b^3*p^2*q^3*log(f*x + e)^2*log(d)/f + 6*(f*x + e)*b^3*p^3*q^3*log(f*x + e)/f + 3*(f*x + e)*b^3*p^2*q^2*log(f*x + e)^2*log(c)/f - 6*(f*x + e)*b^3*p^2*q^3*log(f*x + e)*log(d)/f + 3*(f*x + e)*b^3*p*q^3*log(f*x + e)*log(d)^2/f - 6*(f*x + e)*b^3*p^3*q^3/f + 3*(f*x + e)*a*b^2*p^2*q^2*log(f*x + e)^2/f - 6*(f*x + e)*b^3*p^2*q^2*log(f*x + e)*log(c)/f + 6*(f*x + e)*b^3*p^2*q^3*log(d)/f + 6*(f*x + e)*b^3*p*q^2*log(f*x + e)*log(c)*log(d)/f - 3*(f*x + e)*b^3*p*q^3*log(d)^2/f + (f*x + e)*b^3*q^3*log(d)^3/f - 6*(f*x + e)*a*b^2*p^2*q^2*log(f*x + e)/f + 6*(f*x + e)*b^3*p^2*q^2*log(c)/f + 3*(f*x + e)*b^3*p*q*log(f*x + e)*log(c)^2/f + 6*(f*x + e)*a*b^2*p*q^2*log(f*x + e)*log(d)/f - 6*(f*x + e)*b^3*p*q^2*log(c)*log(d)/f + 3*(f*x + e)*b^3*q^2*log(c)*log(d)^2/f + 6*(f*x + e)*a*b^2*p^2*q^2/f + 6*(f*x + e)*a*b^2*p*q*log(f*x + e)*log(c)/f - 3*(f*x + e)*b^3*p*q*log(c)^2/f - 6*(f*x + e)*a*b^2*p*q^2*log(d)/f + 3*(f*x + e)*b^3*q*log(c)^2*log(d)/f + 3*(f*x + e)*a*b^2*q^2*log(d)^2/f + 3*(f*x + e)*a^2*b*p*q*log(f*x + e)/f - 6*(f*x + e)*a*b^2*p*q*log(c)/f + (f*x + e)*b^3*log(c)^3/f + 6*(f*x + e)*a*b^2*q*log(c)*log(d)/f - 3*(f*x + e)*a^2*b*p*q/f + 3*(f*x + e)*a*b^2*log(c)^2/f + 3*(f*x + e)*a^2*b*q*log(d)/f + 3*(f*x + e)*a^2*b*log(c)/f + (f*x + e)*a^3/f","B",0
438,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{3}}{h x + g}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^3/(h*x + g), x)","F",0
439,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{3}}{{\left(h x + g\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^3/(h*x + g)^2, x)","F",0
440,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{3}}{{\left(h x + g\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^3/(h*x + g)^3, x)","F",0
441,1,1802,0,0.304497," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^4,x, algorithm=""giac"")","\frac{{\left(f x + e\right)} b^{4} p^{4} q^{4} \log\left(f x + e\right)^{4}}{f} - \frac{4 \, {\left(f x + e\right)} b^{4} p^{4} q^{4} \log\left(f x + e\right)^{3}}{f} + \frac{4 \, {\left(f x + e\right)} b^{4} p^{3} q^{4} \log\left(f x + e\right)^{3} \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} b^{4} p^{4} q^{4} \log\left(f x + e\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} b^{4} p^{3} q^{3} \log\left(f x + e\right)^{3} \log\left(c\right)}{f} - \frac{12 \, {\left(f x + e\right)} b^{4} p^{3} q^{4} \log\left(f x + e\right)^{2} \log\left(d\right)}{f} + \frac{6 \, {\left(f x + e\right)} b^{4} p^{2} q^{4} \log\left(f x + e\right)^{2} \log\left(d\right)^{2}}{f} - \frac{24 \, {\left(f x + e\right)} b^{4} p^{4} q^{4} \log\left(f x + e\right)}{f} + \frac{4 \, {\left(f x + e\right)} a b^{3} p^{3} q^{3} \log\left(f x + e\right)^{3}}{f} - \frac{12 \, {\left(f x + e\right)} b^{4} p^{3} q^{3} \log\left(f x + e\right)^{2} \log\left(c\right)}{f} + \frac{24 \, {\left(f x + e\right)} b^{4} p^{3} q^{4} \log\left(f x + e\right) \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} b^{4} p^{2} q^{3} \log\left(f x + e\right)^{2} \log\left(c\right) \log\left(d\right)}{f} - \frac{12 \, {\left(f x + e\right)} b^{4} p^{2} q^{4} \log\left(f x + e\right) \log\left(d\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} b^{4} p q^{4} \log\left(f x + e\right) \log\left(d\right)^{3}}{f} + \frac{24 \, {\left(f x + e\right)} b^{4} p^{4} q^{4}}{f} - \frac{12 \, {\left(f x + e\right)} a b^{3} p^{3} q^{3} \log\left(f x + e\right)^{2}}{f} + \frac{24 \, {\left(f x + e\right)} b^{4} p^{3} q^{3} \log\left(f x + e\right) \log\left(c\right)}{f} + \frac{6 \, {\left(f x + e\right)} b^{4} p^{2} q^{2} \log\left(f x + e\right)^{2} \log\left(c\right)^{2}}{f} - \frac{24 \, {\left(f x + e\right)} b^{4} p^{3} q^{4} \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} a b^{3} p^{2} q^{3} \log\left(f x + e\right)^{2} \log\left(d\right)}{f} - \frac{24 \, {\left(f x + e\right)} b^{4} p^{2} q^{3} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} b^{4} p^{2} q^{4} \log\left(d\right)^{2}}{f} + \frac{12 \, {\left(f x + e\right)} b^{4} p q^{3} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)^{2}}{f} - \frac{4 \, {\left(f x + e\right)} b^{4} p q^{4} \log\left(d\right)^{3}}{f} + \frac{{\left(f x + e\right)} b^{4} q^{4} \log\left(d\right)^{4}}{f} + \frac{24 \, {\left(f x + e\right)} a b^{3} p^{3} q^{3} \log\left(f x + e\right)}{f} - \frac{24 \, {\left(f x + e\right)} b^{4} p^{3} q^{3} \log\left(c\right)}{f} + \frac{12 \, {\left(f x + e\right)} a b^{3} p^{2} q^{2} \log\left(f x + e\right)^{2} \log\left(c\right)}{f} - \frac{12 \, {\left(f x + e\right)} b^{4} p^{2} q^{2} \log\left(f x + e\right) \log\left(c\right)^{2}}{f} - \frac{24 \, {\left(f x + e\right)} a b^{3} p^{2} q^{3} \log\left(f x + e\right) \log\left(d\right)}{f} + \frac{24 \, {\left(f x + e\right)} b^{4} p^{2} q^{3} \log\left(c\right) \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} b^{4} p q^{2} \log\left(f x + e\right) \log\left(c\right)^{2} \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} a b^{3} p q^{3} \log\left(f x + e\right) \log\left(d\right)^{2}}{f} - \frac{12 \, {\left(f x + e\right)} b^{4} p q^{3} \log\left(c\right) \log\left(d\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} b^{4} q^{3} \log\left(c\right) \log\left(d\right)^{3}}{f} - \frac{24 \, {\left(f x + e\right)} a b^{3} p^{3} q^{3}}{f} + \frac{6 \, {\left(f x + e\right)} a^{2} b^{2} p^{2} q^{2} \log\left(f x + e\right)^{2}}{f} - \frac{24 \, {\left(f x + e\right)} a b^{3} p^{2} q^{2} \log\left(f x + e\right) \log\left(c\right)}{f} + \frac{12 \, {\left(f x + e\right)} b^{4} p^{2} q^{2} \log\left(c\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} b^{4} p q \log\left(f x + e\right) \log\left(c\right)^{3}}{f} + \frac{24 \, {\left(f x + e\right)} a b^{3} p^{2} q^{3} \log\left(d\right)}{f} + \frac{24 \, {\left(f x + e\right)} a b^{3} p q^{2} \log\left(f x + e\right) \log\left(c\right) \log\left(d\right)}{f} - \frac{12 \, {\left(f x + e\right)} b^{4} p q^{2} \log\left(c\right)^{2} \log\left(d\right)}{f} - \frac{12 \, {\left(f x + e\right)} a b^{3} p q^{3} \log\left(d\right)^{2}}{f} + \frac{6 \, {\left(f x + e\right)} b^{4} q^{2} \log\left(c\right)^{2} \log\left(d\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} a b^{3} q^{3} \log\left(d\right)^{3}}{f} - \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} p^{2} q^{2} \log\left(f x + e\right)}{f} + \frac{24 \, {\left(f x + e\right)} a b^{3} p^{2} q^{2} \log\left(c\right)}{f} + \frac{12 \, {\left(f x + e\right)} a b^{3} p q \log\left(f x + e\right) \log\left(c\right)^{2}}{f} - \frac{4 \, {\left(f x + e\right)} b^{4} p q \log\left(c\right)^{3}}{f} + \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} p q^{2} \log\left(f x + e\right) \log\left(d\right)}{f} - \frac{24 \, {\left(f x + e\right)} a b^{3} p q^{2} \log\left(c\right) \log\left(d\right)}{f} + \frac{4 \, {\left(f x + e\right)} b^{4} q \log\left(c\right)^{3} \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} a b^{3} q^{2} \log\left(c\right) \log\left(d\right)^{2}}{f} + \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} p^{2} q^{2}}{f} + \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} p q \log\left(f x + e\right) \log\left(c\right)}{f} - \frac{12 \, {\left(f x + e\right)} a b^{3} p q \log\left(c\right)^{2}}{f} + \frac{{\left(f x + e\right)} b^{4} \log\left(c\right)^{4}}{f} - \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} p q^{2} \log\left(d\right)}{f} + \frac{12 \, {\left(f x + e\right)} a b^{3} q \log\left(c\right)^{2} \log\left(d\right)}{f} + \frac{6 \, {\left(f x + e\right)} a^{2} b^{2} q^{2} \log\left(d\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} a^{3} b p q \log\left(f x + e\right)}{f} - \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} p q \log\left(c\right)}{f} + \frac{4 \, {\left(f x + e\right)} a b^{3} \log\left(c\right)^{3}}{f} + \frac{12 \, {\left(f x + e\right)} a^{2} b^{2} q \log\left(c\right) \log\left(d\right)}{f} - \frac{4 \, {\left(f x + e\right)} a^{3} b p q}{f} + \frac{6 \, {\left(f x + e\right)} a^{2} b^{2} \log\left(c\right)^{2}}{f} + \frac{4 \, {\left(f x + e\right)} a^{3} b q \log\left(d\right)}{f} + \frac{4 \, {\left(f x + e\right)} a^{3} b \log\left(c\right)}{f} + \frac{{\left(f x + e\right)} a^{4}}{f}"," ",0,"(f*x + e)*b^4*p^4*q^4*log(f*x + e)^4/f - 4*(f*x + e)*b^4*p^4*q^4*log(f*x + e)^3/f + 4*(f*x + e)*b^4*p^3*q^4*log(f*x + e)^3*log(d)/f + 12*(f*x + e)*b^4*p^4*q^4*log(f*x + e)^2/f + 4*(f*x + e)*b^4*p^3*q^3*log(f*x + e)^3*log(c)/f - 12*(f*x + e)*b^4*p^3*q^4*log(f*x + e)^2*log(d)/f + 6*(f*x + e)*b^4*p^2*q^4*log(f*x + e)^2*log(d)^2/f - 24*(f*x + e)*b^4*p^4*q^4*log(f*x + e)/f + 4*(f*x + e)*a*b^3*p^3*q^3*log(f*x + e)^3/f - 12*(f*x + e)*b^4*p^3*q^3*log(f*x + e)^2*log(c)/f + 24*(f*x + e)*b^4*p^3*q^4*log(f*x + e)*log(d)/f + 12*(f*x + e)*b^4*p^2*q^3*log(f*x + e)^2*log(c)*log(d)/f - 12*(f*x + e)*b^4*p^2*q^4*log(f*x + e)*log(d)^2/f + 4*(f*x + e)*b^4*p*q^4*log(f*x + e)*log(d)^3/f + 24*(f*x + e)*b^4*p^4*q^4/f - 12*(f*x + e)*a*b^3*p^3*q^3*log(f*x + e)^2/f + 24*(f*x + e)*b^4*p^3*q^3*log(f*x + e)*log(c)/f + 6*(f*x + e)*b^4*p^2*q^2*log(f*x + e)^2*log(c)^2/f - 24*(f*x + e)*b^4*p^3*q^4*log(d)/f + 12*(f*x + e)*a*b^3*p^2*q^3*log(f*x + e)^2*log(d)/f - 24*(f*x + e)*b^4*p^2*q^3*log(f*x + e)*log(c)*log(d)/f + 12*(f*x + e)*b^4*p^2*q^4*log(d)^2/f + 12*(f*x + e)*b^4*p*q^3*log(f*x + e)*log(c)*log(d)^2/f - 4*(f*x + e)*b^4*p*q^4*log(d)^3/f + (f*x + e)*b^4*q^4*log(d)^4/f + 24*(f*x + e)*a*b^3*p^3*q^3*log(f*x + e)/f - 24*(f*x + e)*b^4*p^3*q^3*log(c)/f + 12*(f*x + e)*a*b^3*p^2*q^2*log(f*x + e)^2*log(c)/f - 12*(f*x + e)*b^4*p^2*q^2*log(f*x + e)*log(c)^2/f - 24*(f*x + e)*a*b^3*p^2*q^3*log(f*x + e)*log(d)/f + 24*(f*x + e)*b^4*p^2*q^3*log(c)*log(d)/f + 12*(f*x + e)*b^4*p*q^2*log(f*x + e)*log(c)^2*log(d)/f + 12*(f*x + e)*a*b^3*p*q^3*log(f*x + e)*log(d)^2/f - 12*(f*x + e)*b^4*p*q^3*log(c)*log(d)^2/f + 4*(f*x + e)*b^4*q^3*log(c)*log(d)^3/f - 24*(f*x + e)*a*b^3*p^3*q^3/f + 6*(f*x + e)*a^2*b^2*p^2*q^2*log(f*x + e)^2/f - 24*(f*x + e)*a*b^3*p^2*q^2*log(f*x + e)*log(c)/f + 12*(f*x + e)*b^4*p^2*q^2*log(c)^2/f + 4*(f*x + e)*b^4*p*q*log(f*x + e)*log(c)^3/f + 24*(f*x + e)*a*b^3*p^2*q^3*log(d)/f + 24*(f*x + e)*a*b^3*p*q^2*log(f*x + e)*log(c)*log(d)/f - 12*(f*x + e)*b^4*p*q^2*log(c)^2*log(d)/f - 12*(f*x + e)*a*b^3*p*q^3*log(d)^2/f + 6*(f*x + e)*b^4*q^2*log(c)^2*log(d)^2/f + 4*(f*x + e)*a*b^3*q^3*log(d)^3/f - 12*(f*x + e)*a^2*b^2*p^2*q^2*log(f*x + e)/f + 24*(f*x + e)*a*b^3*p^2*q^2*log(c)/f + 12*(f*x + e)*a*b^3*p*q*log(f*x + e)*log(c)^2/f - 4*(f*x + e)*b^4*p*q*log(c)^3/f + 12*(f*x + e)*a^2*b^2*p*q^2*log(f*x + e)*log(d)/f - 24*(f*x + e)*a*b^3*p*q^2*log(c)*log(d)/f + 4*(f*x + e)*b^4*q*log(c)^3*log(d)/f + 12*(f*x + e)*a*b^3*q^2*log(c)*log(d)^2/f + 12*(f*x + e)*a^2*b^2*p^2*q^2/f + 12*(f*x + e)*a^2*b^2*p*q*log(f*x + e)*log(c)/f - 12*(f*x + e)*a*b^3*p*q*log(c)^2/f + (f*x + e)*b^4*log(c)^4/f - 12*(f*x + e)*a^2*b^2*p*q^2*log(d)/f + 12*(f*x + e)*a*b^3*q*log(c)^2*log(d)/f + 6*(f*x + e)*a^2*b^2*q^2*log(d)^2/f + 4*(f*x + e)*a^3*b*p*q*log(f*x + e)/f - 12*(f*x + e)*a^2*b^2*p*q*log(c)/f + 4*(f*x + e)*a*b^3*log(c)^3/f + 12*(f*x + e)*a^2*b^2*q*log(c)*log(d)/f - 4*(f*x + e)*a^3*b*p*q/f + 6*(f*x + e)*a^2*b^2*log(c)^2/f + 4*(f*x + e)*a^3*b*q*log(d)/f + 4*(f*x + e)*a^3*b*log(c)/f + (f*x + e)*a^4/f","B",0
442,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^4/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{4}}{h x + g}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^4/(h*x + g), x)","F",0
443,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^4/(h*x+g)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{4}}{{\left(h x + g\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^4/(h*x + g)^2, x)","F",0
444,1,58,0,0.179483," ","integrate(log(c*(d*(f*x+e)^p)^q),x, algorithm=""giac"")","\frac{{\left(f x + e\right)} p q \log\left(f x + e\right)}{f} - \frac{{\left(f x + e\right)} p q}{f} + \frac{{\left(f x + e\right)} q \log\left(d\right)}{f} + \frac{{\left(f x + e\right)} \log\left(c\right)}{f}"," ",0,"(f*x + e)*p*q*log(f*x + e)/f - (f*x + e)*p*q/f + (f*x + e)*q*log(d)/f + (f*x + e)*log(c)/f","A",0
445,1,524,0,0.309195," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\frac{g^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)}}{b c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)} f p q} - \frac{2 \, g h {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)}}{b c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)} f^{2} p q} + \frac{2 \, g h {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)}}{b c^{\frac{2}{p q}} d^{\frac{2}{p}} f^{2} p q} + \frac{h^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 2\right)}}{b c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)} f^{3} p q} - \frac{2 \, h^{2} {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q} + 1\right)}}{b c^{\frac{2}{p q}} d^{\frac{2}{p}} f^{3} p q} + \frac{h^{2} {\rm Ei}\left(\frac{3 \, \log\left(d\right)}{p} + \frac{3 \, \log\left(c\right)}{p q} + \frac{3 \, a}{b p q} + 3 \, \log\left(f x + e\right)\right) e^{\left(-\frac{3 \, a}{b p q}\right)}}{b c^{\frac{3}{p q}} d^{\frac{3}{p}} f^{3} p q}"," ",0,"g^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))/(b*c^(1/(p*q))*d^(1/p)*f*p*q) - 2*g*h*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)/(b*c^(1/(p*q))*d^(1/p)*f^2*p*q) + 2*g*h*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))/(b*c^(2/(p*q))*d^(2/p)*f^2*p*q) + h^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 2)/(b*c^(1/(p*q))*d^(1/p)*f^3*p*q) - 2*h^2*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q) + 1)/(b*c^(2/(p*q))*d^(2/p)*f^3*p*q) + h^2*Ei(3*log(d)/p + 3*log(c)/(p*q) + 3*a/(b*p*q) + 3*log(f*x + e))*e^(-3*a/(b*p*q))/(b*c^(3/(p*q))*d^(3/p)*f^3*p*q)","A",0
446,1,252,0,0.223748," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\frac{g {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)}}{b c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)} f p q} - \frac{h {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)}}{b c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)} f^{2} p q} + \frac{h {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)}}{b c^{\frac{2}{p q}} d^{\frac{2}{p}} f^{2} p q}"," ",0,"g*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))/(b*c^(1/(p*q))*d^(1/p)*f*p*q) - h*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)/(b*c^(1/(p*q))*d^(1/p)*f^2*p*q) + h*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))/(b*c^(2/(p*q))*d^(2/p)*f^2*p*q)","A",0
447,1,79,0,0.171545," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)}}{b c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)} f p q}"," ",0,"Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))/(b*c^(1/(p*q))*d^(1/p)*f*p*q)","A",0
448,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
449,0,0,0,0.000000," ","integrate(1/(h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)}^{2} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((h*x + g)^2*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
450,1,4046,0,0.836126," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","-\frac{{\left(f x + e\right)} b f^{2} g^{2} p q}{b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}} - \frac{2 \, {\left(f x + e\right)}^{2} b f g h p q}{b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}} - \frac{{\left(f x + e\right)}^{3} b h^{2} p q}{b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}} + \frac{2 \, {\left(f x + e\right)} b f g h p q e}{b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}} + \frac{2 \, {\left(f x + e\right)}^{2} b h^{2} p q e}{b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}} + \frac{b f^{2} g^{2} p q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(f x + e\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{{\left(f x + e\right)} b h^{2} p q e^{2}}{b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}} - \frac{2 \, b f g h p q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(f x + e\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{4 \, b f g h p q {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(f x + e\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{b f^{2} g^{2} q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(d\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{b h^{2} p q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 2\right)} \log\left(f x + e\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{4 \, b h^{2} p q {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q} + 1\right)} \log\left(f x + e\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{3 \, b h^{2} p q {\rm Ei}\left(\frac{3 \, \log\left(d\right)}{p} + \frac{3 \, \log\left(c\right)}{p q} + \frac{3 \, a}{b p q} + 3 \, \log\left(f x + e\right)\right) e^{\left(-\frac{3 \, a}{b p q}\right)} \log\left(f x + e\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{3}{p q}} d^{\frac{3}{p}}} + \frac{b f^{2} g^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(c\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{2 \, b f g h q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(d\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{4 \, b f g h q {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(d\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{a f^{2} g^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)}}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{2 \, b f g h {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(c\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{4 \, b f g h {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(c\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{b h^{2} q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 2\right)} \log\left(d\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{4 \, b h^{2} q {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q} + 1\right)} \log\left(d\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{3 \, b h^{2} q {\rm Ei}\left(\frac{3 \, \log\left(d\right)}{p} + \frac{3 \, \log\left(c\right)}{p q} + \frac{3 \, a}{b p q} + 3 \, \log\left(f x + e\right)\right) e^{\left(-\frac{3 \, a}{b p q}\right)} \log\left(d\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{3}{p q}} d^{\frac{3}{p}}} - \frac{2 \, a f g h {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)}}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{4 \, a f g h {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)}}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{b h^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 2\right)} \log\left(c\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{4 \, b h^{2} {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q} + 1\right)} \log\left(c\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{3 \, b h^{2} {\rm Ei}\left(\frac{3 \, \log\left(d\right)}{p} + \frac{3 \, \log\left(c\right)}{p q} + \frac{3 \, a}{b p q} + 3 \, \log\left(f x + e\right)\right) e^{\left(-\frac{3 \, a}{b p q}\right)} \log\left(c\right)}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{3}{p q}} d^{\frac{3}{p}}} + \frac{a h^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 2\right)}}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{4 \, a h^{2} {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q} + 1\right)}}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{3 \, a h^{2} {\rm Ei}\left(\frac{3 \, \log\left(d\right)}{p} + \frac{3 \, \log\left(c\right)}{p q} + \frac{3 \, a}{b p q} + 3 \, \log\left(f x + e\right)\right) e^{\left(-\frac{3 \, a}{b p q}\right)}}{{\left(b^{3} f^{3} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{3} p^{2} q^{3} \log\left(d\right) + b^{3} f^{3} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{3} p^{2} q^{2}\right)} c^{\frac{3}{p q}} d^{\frac{3}{p}}}"," ",0,"-(f*x + e)*b*f^2*g^2*p*q/(b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2) - 2*(f*x + e)^2*b*f*g*h*p*q/(b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2) - (f*x + e)^3*b*h^2*p*q/(b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2) + 2*(f*x + e)*b*f*g*h*p*q*e/(b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2) + 2*(f*x + e)^2*b*h^2*p*q*e/(b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2) + b*f^2*g^2*p*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(f*x + e)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(1/(p*q))*d^(1/p)) - (f*x + e)*b*h^2*p*q*e^2/(b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2) - 2*b*f*g*h*p*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(f*x + e)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(1/(p*q))*d^(1/p)) + 4*b*f*g*h*p*q*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(f*x + e)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(2/(p*q))*d^(2/p)) + b*f^2*g^2*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(d)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(1/(p*q))*d^(1/p)) + b*h^2*p*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 2)*log(f*x + e)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(1/(p*q))*d^(1/p)) - 4*b*h^2*p*q*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q) + 1)*log(f*x + e)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(2/(p*q))*d^(2/p)) + 3*b*h^2*p*q*Ei(3*log(d)/p + 3*log(c)/(p*q) + 3*a/(b*p*q) + 3*log(f*x + e))*e^(-3*a/(b*p*q))*log(f*x + e)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(3/(p*q))*d^(3/p)) + b*f^2*g^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(c)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(1/(p*q))*d^(1/p)) - 2*b*f*g*h*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(d)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(1/(p*q))*d^(1/p)) + 4*b*f*g*h*q*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(d)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(2/(p*q))*d^(2/p)) + a*f^2*g^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(1/(p*q))*d^(1/p)) - 2*b*f*g*h*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(c)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(1/(p*q))*d^(1/p)) + 4*b*f*g*h*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(c)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(2/(p*q))*d^(2/p)) + b*h^2*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 2)*log(d)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(1/(p*q))*d^(1/p)) - 4*b*h^2*q*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q) + 1)*log(d)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(2/(p*q))*d^(2/p)) + 3*b*h^2*q*Ei(3*log(d)/p + 3*log(c)/(p*q) + 3*a/(b*p*q) + 3*log(f*x + e))*e^(-3*a/(b*p*q))*log(d)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(3/(p*q))*d^(3/p)) - 2*a*f*g*h*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(1/(p*q))*d^(1/p)) + 4*a*f*g*h*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(2/(p*q))*d^(2/p)) + b*h^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 2)*log(c)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(1/(p*q))*d^(1/p)) - 4*b*h^2*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q) + 1)*log(c)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(2/(p*q))*d^(2/p)) + 3*b*h^2*Ei(3*log(d)/p + 3*log(c)/(p*q) + 3*a/(b*p*q) + 3*log(f*x + e))*e^(-3*a/(b*p*q))*log(c)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(3/(p*q))*d^(3/p)) + a*h^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 2)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(1/(p*q))*d^(1/p)) - 4*a*h^2*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q) + 1)/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(2/(p*q))*d^(2/p)) + 3*a*h^2*Ei(3*log(d)/p + 3*log(c)/(p*q) + 3*a/(b*p*q) + 3*log(f*x + e))*e^(-3*a/(b*p*q))/((b^3*f^3*p^3*q^3*log(f*x + e) + b^3*f^3*p^2*q^3*log(d) + b^3*f^3*p^2*q^2*log(c) + a*b^2*f^3*p^2*q^2)*c^(3/(p*q))*d^(3/p))","B",0
451,1,1968,0,0.484566," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","-\frac{{\left(f x + e\right)} b f g p q}{b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}} - \frac{{\left(f x + e\right)}^{2} b h p q}{b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}} + \frac{{\left(f x + e\right)} b h p q e}{b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}} + \frac{b f g p q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(f x + e\right)}{{\left(b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{b h p q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(f x + e\right)}{{\left(b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{2 \, b h p q {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(f x + e\right)}{{\left(b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{b f g q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(d\right)}{{\left(b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{b f g {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(c\right)}{{\left(b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{b h q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(d\right)}{{\left(b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{2 \, b h q {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(d\right)}{{\left(b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{a f g {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)}}{{\left(b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{b h {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(c\right)}{{\left(b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{2 \, b h {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(c\right)}{{\left(b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} - \frac{a h {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)}}{{\left(b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{2 \, a h {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)}}{{\left(b^{3} f^{2} p^{3} q^{3} \log\left(f x + e\right) + b^{3} f^{2} p^{2} q^{3} \log\left(d\right) + b^{3} f^{2} p^{2} q^{2} \log\left(c\right) + a b^{2} f^{2} p^{2} q^{2}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}}"," ",0,"-(f*x + e)*b*f*g*p*q/(b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2) - (f*x + e)^2*b*h*p*q/(b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2) + (f*x + e)*b*h*p*q*e/(b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2) + b*f*g*p*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(f*x + e)/((b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2)*c^(1/(p*q))*d^(1/p)) - b*h*p*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(f*x + e)/((b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2)*c^(1/(p*q))*d^(1/p)) + 2*b*h*p*q*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(f*x + e)/((b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2)*c^(2/(p*q))*d^(2/p)) + b*f*g*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(d)/((b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2)*c^(1/(p*q))*d^(1/p)) + b*f*g*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(c)/((b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2)*c^(1/(p*q))*d^(1/p)) - b*h*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(d)/((b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2)*c^(1/(p*q))*d^(1/p)) + 2*b*h*q*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(d)/((b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2)*c^(2/(p*q))*d^(2/p)) + a*f*g*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))/((b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2)*c^(1/(p*q))*d^(1/p)) - b*h*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(c)/((b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2)*c^(1/(p*q))*d^(1/p)) + 2*b*h*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(c)/((b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2)*c^(2/(p*q))*d^(2/p)) - a*h*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)/((b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2)*c^(1/(p*q))*d^(1/p)) + 2*a*h*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))/((b^3*f^2*p^3*q^3*log(f*x + e) + b^3*f^2*p^2*q^3*log(d) + b^3*f^2*p^2*q^2*log(c) + a*b^2*f^2*p^2*q^2)*c^(2/(p*q))*d^(2/p))","B",0
452,1,593,0,0.243724," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","-\frac{{\left(f x + e\right)} b p q}{b^{3} f p^{3} q^{3} \log\left(f x + e\right) + b^{3} f p^{2} q^{3} \log\left(d\right) + b^{3} f p^{2} q^{2} \log\left(c\right) + a b^{2} f p^{2} q^{2}} + \frac{b p q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(f x + e\right)}{{\left(b^{3} f p^{3} q^{3} \log\left(f x + e\right) + b^{3} f p^{2} q^{3} \log\left(d\right) + b^{3} f p^{2} q^{2} \log\left(c\right) + a b^{2} f p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{b q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(d\right)}{{\left(b^{3} f p^{3} q^{3} \log\left(f x + e\right) + b^{3} f p^{2} q^{3} \log\left(d\right) + b^{3} f p^{2} q^{2} \log\left(c\right) + a b^{2} f p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{b {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(c\right)}{{\left(b^{3} f p^{3} q^{3} \log\left(f x + e\right) + b^{3} f p^{2} q^{3} \log\left(d\right) + b^{3} f p^{2} q^{2} \log\left(c\right) + a b^{2} f p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{a {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)}}{{\left(b^{3} f p^{3} q^{3} \log\left(f x + e\right) + b^{3} f p^{2} q^{3} \log\left(d\right) + b^{3} f p^{2} q^{2} \log\left(c\right) + a b^{2} f p^{2} q^{2}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}}"," ",0,"-(f*x + e)*b*p*q/(b^3*f*p^3*q^3*log(f*x + e) + b^3*f*p^2*q^3*log(d) + b^3*f*p^2*q^2*log(c) + a*b^2*f*p^2*q^2) + b*p*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(f*x + e)/((b^3*f*p^3*q^3*log(f*x + e) + b^3*f*p^2*q^3*log(d) + b^3*f*p^2*q^2*log(c) + a*b^2*f*p^2*q^2)*c^(1/(p*q))*d^(1/p)) + b*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(d)/((b^3*f*p^3*q^3*log(f*x + e) + b^3*f*p^2*q^3*log(d) + b^3*f*p^2*q^2*log(c) + a*b^2*f*p^2*q^2)*c^(1/(p*q))*d^(1/p)) + b*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(c)/((b^3*f*p^3*q^3*log(f*x + e) + b^3*f*p^2*q^3*log(d) + b^3*f*p^2*q^2*log(c) + a*b^2*f*p^2*q^2)*c^(1/(p*q))*d^(1/p)) + a*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))/((b^3*f*p^3*q^3*log(f*x + e) + b^3*f*p^2*q^3*log(d) + b^3*f*p^2*q^2*log(c) + a*b^2*f*p^2*q^2)*c^(1/(p*q))*d^(1/p))","B",0
453,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)^2), x)","F",0
454,0,0,0,0.000000," ","integrate(1/(h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)}^{2} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((h*x + g)^2*(b*log(((f*x + e)^p*d)^q*c) + a)^2), x)","F",0
455,-1,0,0,0.000000," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
456,1,11533,0,1.307604," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""giac"")","-\frac{{\left(f x + e\right)} b^{2} f g p^{2} q^{2} \log\left(f x + e\right)}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)}} - \frac{{\left(f x + e\right)}^{2} b^{2} h p^{2} q^{2} \log\left(f x + e\right)}{b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}} + \frac{{\left(f x + e\right)} b^{2} h p^{2} q^{2} e \log\left(f x + e\right)}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)}} + \frac{b^{2} f g p^{2} q^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(f x + e\right)^{2}}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{{\left(f x + e\right)} b^{2} f g p^{2} q^{2}}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)}} - \frac{{\left(f x + e\right)}^{2} b^{2} h p^{2} q^{2}}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)}} + \frac{{\left(f x + e\right)} b^{2} h p^{2} q^{2} e}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)}} - \frac{b^{2} h p^{2} q^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(f x + e\right)^{2}}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{2 \, b^{2} h p^{2} q^{2} {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(f x + e\right)^{2}}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} - \frac{{\left(f x + e\right)} b^{2} f g p q^{2} \log\left(d\right)}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)}} - \frac{{\left(f x + e\right)}^{2} b^{2} h p q^{2} \log\left(d\right)}{b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}} + \frac{{\left(f x + e\right)} b^{2} h p q^{2} e \log\left(d\right)}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)}} + \frac{b^{2} f g p q^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(f x + e\right) \log\left(d\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{{\left(f x + e\right)} b^{2} f g p q \log\left(c\right)}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)}} - \frac{{\left(f x + e\right)}^{2} b^{2} h p q \log\left(c\right)}{b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}} + \frac{{\left(f x + e\right)} b^{2} h p q e \log\left(c\right)}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)}} + \frac{b^{2} f g p q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(f x + e\right) \log\left(c\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{b^{2} h p q^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(f x + e\right) \log\left(d\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{4 \, b^{2} h p q^{2} {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(f x + e\right) \log\left(d\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{b^{2} f g q^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(d\right)^{2}}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{{\left(f x + e\right)} a b f g p q}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)}} - \frac{{\left(f x + e\right)}^{2} a b h p q}{b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}} + \frac{{\left(f x + e\right)} a b h p q e}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)}} + \frac{a b f g p q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(f x + e\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{b^{2} h p q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(f x + e\right) \log\left(c\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{4 \, b^{2} h p q {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(f x + e\right) \log\left(c\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{b^{2} f g q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(c\right) \log\left(d\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{b^{2} h q^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(d\right)^{2}}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{2 \, b^{2} h q^{2} {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(d\right)^{2}}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} - \frac{a b h p q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(f x + e\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{4 \, a b h p q {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(f x + e\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{b^{2} f g {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(c\right)^{2}}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{a b f g q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(d\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{b^{2} h q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(c\right) \log\left(d\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{4 \, b^{2} h q {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(c\right) \log\left(d\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{a b f g {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(c\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{b^{2} h {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(c\right)^{2}}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{2 \, b^{2} h {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(c\right)^{2}}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} - \frac{a b h q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(d\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{4 \, a b h q {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(d\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} + \frac{a^{2} f g {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)}}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{a b h {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)} \log\left(c\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{4 \, a b h {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)} \log\left(c\right)}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}} - \frac{a^{2} h {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q} + 1\right)}}{2 \, {\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{2 \, a^{2} h {\rm Ei}\left(\frac{2 \, \log\left(d\right)}{p} + \frac{2 \, \log\left(c\right)}{p q} + \frac{2 \, a}{b p q} + 2 \, \log\left(f x + e\right)\right) e^{\left(-\frac{2 \, a}{b p q}\right)}}{{\left(b^{5} f^{2} p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f^{2} p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f^{2} p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f^{2} p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f^{2} p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f^{2} p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f^{2} p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f^{2} p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f^{2} p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f^{2} p^{3} q^{3}\right)} c^{\frac{2}{p q}} d^{\frac{2}{p}}}"," ",0,"-1/2*(f*x + e)*b^2*f*g*p^2*q^2*log(f*x + e)/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) - (f*x + e)^2*b^2*h*p^2*q^2*log(f*x + e)/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) + 1/2*(f*x + e)*b^2*h*p^2*q^2*e*log(f*x + e)/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) + 1/2*b^2*f*g*p^2*q^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(f*x + e)^2/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) - 1/2*(f*x + e)*b^2*f*g*p^2*q^2/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) - 1/2*(f*x + e)^2*b^2*h*p^2*q^2/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) + 1/2*(f*x + e)*b^2*h*p^2*q^2*e/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) - 1/2*b^2*h*p^2*q^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(f*x + e)^2/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + 2*b^2*h*p^2*q^2*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(f*x + e)^2/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(2/(p*q))*d^(2/p)) - 1/2*(f*x + e)*b^2*f*g*p*q^2*log(d)/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) - (f*x + e)^2*b^2*h*p*q^2*log(d)/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) + 1/2*(f*x + e)*b^2*h*p*q^2*e*log(d)/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) + b^2*f*g*p*q^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(f*x + e)*log(d)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) - 1/2*(f*x + e)*b^2*f*g*p*q*log(c)/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) - (f*x + e)^2*b^2*h*p*q*log(c)/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) + 1/2*(f*x + e)*b^2*h*p*q*e*log(c)/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) + b^2*f*g*p*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(f*x + e)*log(c)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) - b^2*h*p*q^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(f*x + e)*log(d)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + 4*b^2*h*p*q^2*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(f*x + e)*log(d)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(2/(p*q))*d^(2/p)) + 1/2*b^2*f*g*q^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(d)^2/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) - 1/2*(f*x + e)*a*b*f*g*p*q/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) - (f*x + e)^2*a*b*h*p*q/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) + 1/2*(f*x + e)*a*b*h*p*q*e/(b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3) + a*b*f*g*p*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(f*x + e)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) - b^2*h*p*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(f*x + e)*log(c)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + 4*b^2*h*p*q*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(f*x + e)*log(c)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(2/(p*q))*d^(2/p)) + b^2*f*g*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(c)*log(d)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) - 1/2*b^2*h*q^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(d)^2/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + 2*b^2*h*q^2*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(d)^2/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(2/(p*q))*d^(2/p)) - a*b*h*p*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(f*x + e)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + 4*a*b*h*p*q*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(f*x + e)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(2/(p*q))*d^(2/p)) + 1/2*b^2*f*g*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(c)^2/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + a*b*f*g*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(d)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) - b^2*h*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(c)*log(d)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + 4*b^2*h*q*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(c)*log(d)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(2/(p*q))*d^(2/p)) + a*b*f*g*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(c)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) - 1/2*b^2*h*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(c)^2/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + 2*b^2*h*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(c)^2/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(2/(p*q))*d^(2/p)) - a*b*h*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(d)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + 4*a*b*h*q*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(d)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(2/(p*q))*d^(2/p)) + 1/2*a^2*f*g*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) - a*b*h*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)*log(c)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + 4*a*b*h*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))*log(c)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(2/(p*q))*d^(2/p)) - 1/2*a^2*h*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q) + 1)/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + 2*a^2*h*Ei(2*log(d)/p + 2*log(c)/(p*q) + 2*a/(b*p*q) + 2*log(f*x + e))*e^(-2*a/(b*p*q))/((b^5*f^2*p^5*q^5*log(f*x + e)^2 + 2*b^5*f^2*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f^2*p^4*q^4*log(f*x + e)*log(c) + b^5*f^2*p^3*q^5*log(d)^2 + 2*a*b^4*f^2*p^4*q^4*log(f*x + e) + 2*b^5*f^2*p^3*q^4*log(c)*log(d) + b^5*f^2*p^3*q^3*log(c)^2 + 2*a*b^4*f^2*p^3*q^4*log(d) + 2*a*b^4*f^2*p^3*q^3*log(c) + a^2*b^3*f^2*p^3*q^3)*c^(2/(p*q))*d^(2/p))","B",0
457,1,3481,0,0.433154," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""giac"")","-\frac{{\left(f x + e\right)} b^{2} p^{2} q^{2} \log\left(f x + e\right)}{2 \, {\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)}} + \frac{b^{2} p^{2} q^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(f x + e\right)^{2}}{2 \, {\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{{\left(f x + e\right)} b^{2} p^{2} q^{2}}{2 \, {\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)}} - \frac{{\left(f x + e\right)} b^{2} p q^{2} \log\left(d\right)}{2 \, {\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)}} + \frac{b^{2} p q^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(f x + e\right) \log\left(d\right)}{{\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{{\left(f x + e\right)} b^{2} p q \log\left(c\right)}{2 \, {\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)}} + \frac{b^{2} p q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(f x + e\right) \log\left(c\right)}{{\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{b^{2} q^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(d\right)^{2}}{2 \, {\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} - \frac{{\left(f x + e\right)} a b p q}{2 \, {\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)}} + \frac{a b p q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(f x + e\right)}{{\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{b^{2} q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(c\right) \log\left(d\right)}{{\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{b^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(c\right)^{2}}{2 \, {\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{a b q {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(d\right)}{{\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{a b {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)} \log\left(c\right)}{{\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}} + \frac{a^{2} {\rm Ei}\left(\frac{\log\left(d\right)}{p} + \frac{\log\left(c\right)}{p q} + \frac{a}{b p q} + \log\left(f x + e\right)\right) e^{\left(-\frac{a}{b p q}\right)}}{2 \, {\left(b^{5} f p^{5} q^{5} \log\left(f x + e\right)^{2} + 2 \, b^{5} f p^{4} q^{5} \log\left(f x + e\right) \log\left(d\right) + 2 \, b^{5} f p^{4} q^{4} \log\left(f x + e\right) \log\left(c\right) + b^{5} f p^{3} q^{5} \log\left(d\right)^{2} + 2 \, a b^{4} f p^{4} q^{4} \log\left(f x + e\right) + 2 \, b^{5} f p^{3} q^{4} \log\left(c\right) \log\left(d\right) + b^{5} f p^{3} q^{3} \log\left(c\right)^{2} + 2 \, a b^{4} f p^{3} q^{4} \log\left(d\right) + 2 \, a b^{4} f p^{3} q^{3} \log\left(c\right) + a^{2} b^{3} f p^{3} q^{3}\right)} c^{\frac{1}{p q}} d^{\left(\frac{1}{p}\right)}}"," ",0,"-1/2*(f*x + e)*b^2*p^2*q^2*log(f*x + e)/(b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3) + 1/2*b^2*p^2*q^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(f*x + e)^2/((b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3)*c^(1/(p*q))*d^(1/p)) - 1/2*(f*x + e)*b^2*p^2*q^2/(b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3) - 1/2*(f*x + e)*b^2*p*q^2*log(d)/(b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3) + b^2*p*q^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(f*x + e)*log(d)/((b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3)*c^(1/(p*q))*d^(1/p)) - 1/2*(f*x + e)*b^2*p*q*log(c)/(b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3) + b^2*p*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(f*x + e)*log(c)/((b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + 1/2*b^2*q^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(d)^2/((b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3)*c^(1/(p*q))*d^(1/p)) - 1/2*(f*x + e)*a*b*p*q/(b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3) + a*b*p*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(f*x + e)/((b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + b^2*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(c)*log(d)/((b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + 1/2*b^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(c)^2/((b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + a*b*q*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(d)/((b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + a*b*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))*log(c)/((b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3)*c^(1/(p*q))*d^(1/p)) + 1/2*a^2*Ei(log(d)/p + log(c)/(p*q) + a/(b*p*q) + log(f*x + e))*e^(-a/(b*p*q))/((b^5*f*p^5*q^5*log(f*x + e)^2 + 2*b^5*f*p^4*q^5*log(f*x + e)*log(d) + 2*b^5*f*p^4*q^4*log(f*x + e)*log(c) + b^5*f*p^3*q^5*log(d)^2 + 2*a*b^4*f*p^4*q^4*log(f*x + e) + 2*b^5*f*p^3*q^4*log(c)*log(d) + b^5*f*p^3*q^3*log(c)^2 + 2*a*b^4*f*p^3*q^4*log(d) + 2*a*b^4*f*p^3*q^3*log(c) + a^2*b^3*f*p^3*q^3)*c^(1/(p*q))*d^(1/p))","B",0
458,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)^3), x)","F",0
459,0,0,0,0.000000," ","integrate(1/(h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)}^{2} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate(1/((h*x + g)^2*(b*log(((f*x + e)^p*d)^q*c) + a)^3), x)","F",0
460,0,0,0,0.000000," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""giac"")","\int {\left(h x + g\right)}^{2} \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate((h*x + g)^2*sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
461,0,0,0,0.000000," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""giac"")","\int {\left(h x + g\right)} \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate((h*x + g)*sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
462,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
463,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2)/(h*x+g),x, algorithm=""giac"")","\int \frac{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}{h x + g}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g), x)","F",0
464,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2)/(h*x+g)^2,x, algorithm=""giac"")","\int \frac{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}{{\left(h x + g\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g)^2, x)","F",0
465,0,0,0,0.000000," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""giac"")","\int {\left(h x + g\right)}^{2} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((h*x + g)^2*(b*log(((f*x + e)^p*d)^q*c) + a)^(3/2), x)","F",0
466,0,0,0,0.000000," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""giac"")","\int {\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)^(3/2), x)","F",0
467,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""giac"")","\int {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^(3/2), x)","F",0
468,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(3/2)/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}{h x + g}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^(3/2)/(h*x + g), x)","F",0
469,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(3/2)/(h*x+g)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}{{\left(h x + g\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^(3/2)/(h*x + g)^2, x)","F",0
470,0,0,0,0.000000," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(h x + g\right)}^{2}}{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate((h*x + g)^2/sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
471,0,0,0,0.000000," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""giac"")","\int \frac{h x + g}{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate((h*x + g)/sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
472,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
473,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)} \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate(1/((h*x + g)*sqrt(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
474,0,0,0,0.000000," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(h x + g\right)}^{2}}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((h*x + g)^2/(b*log(((f*x + e)^p*d)^q*c) + a)^(3/2), x)","F",0
475,0,0,0,0.000000," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""giac"")","\int \frac{h x + g}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((h*x + g)/(b*log(((f*x + e)^p*d)^q*c) + a)^(3/2), x)","F",0
476,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^(-3/2), x)","F",0
477,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)^(3/2)), x)","F",0
478,0,0,0,0.000000," ","integrate((h*x+g)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(h x + g\right)}^{2}}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((h*x + g)^2/(b*log(((f*x + e)^p*d)^q*c) + a)^(5/2), x)","F",0
479,0,0,0,0.000000," ","integrate((h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(5/2),x, algorithm=""giac"")","\int \frac{h x + g}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((h*x + g)/(b*log(((f*x + e)^p*d)^q*c) + a)^(5/2), x)","F",0
480,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^(-5/2), x)","F",0
481,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)^(5/2)), x)","F",0
482,0,0,0,0.000000," ","integrate((h*x+g)^(3/2)*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\int {\left(h x + g\right)}^{\frac{3}{2}} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}\,{d x}"," ",0,"integrate((h*x + g)^(3/2)*(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
483,0,0,0,0.000000," ","integrate((h*x+g)^(1/2)*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\int \sqrt{h x + g} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
484,1,128,0,0.185374," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left({\left(2 \, f {\left(\frac{{\left(f g - h e\right)} \arctan\left(\frac{\sqrt{h x + g} f}{\sqrt{-f^{2} g + f h e}}\right)}{\sqrt{-f^{2} g + f h e} f} + \frac{\sqrt{h x + g}}{f}\right)} - \sqrt{h x + g} \log\left(f x + e\right)\right)} b p q - \sqrt{h x + g} b q \log\left(d\right) - \sqrt{h x + g} b \log\left(c\right) - \sqrt{h x + g} a\right)}}{h}"," ",0,"-2*((2*f*((f*g - h*e)*arctan(sqrt(h*x + g)*f/sqrt(-f^2*g + f*h*e))/(sqrt(-f^2*g + f*h*e)*f) + sqrt(h*x + g)/f) - sqrt(h*x + g)*log(f*x + e))*b*p*q - sqrt(h*x + g)*b*q*log(d) - sqrt(h*x + g)*b*log(c) - sqrt(h*x + g)*a)/h","A",0
485,1,99,0,0.222145," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(3/2),x, algorithm=""giac"")","\frac{4 \, b f p q \arctan\left(\frac{\sqrt{h x + g} f}{\sqrt{-f^{2} g + f h e}}\right)}{\sqrt{-f^{2} g + f h e} h} - \frac{2 \, {\left(b p q \log\left({\left(h x + g\right)} f - f g + h e\right) - b p q \log\left(h\right) + b q \log\left(d\right) + b \log\left(c\right) + a\right)}}{\sqrt{h x + g} h}"," ",0,"4*b*f*p*q*arctan(sqrt(h*x + g)*f/sqrt(-f^2*g + f*h*e))/(sqrt(-f^2*g + f*h*e)*h) - 2*(b*p*q*log((h*x + g)*f - f*g + h*e) - b*p*q*log(h) + b*q*log(d) + b*log(c) + a)/(sqrt(h*x + g)*h)","A",0
486,1,209,0,0.277328," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(5/2),x, algorithm=""giac"")","\frac{4 \, b f^{2} p q \arctan\left(\frac{\sqrt{h x + g} f}{\sqrt{-f^{2} g + f h e}}\right)}{3 \, \sqrt{-f^{2} g + f h e} {\left(f g h - h^{2} e\right)}} - \frac{2 \, {\left(b f g p q \log\left({\left(h x + g\right)} f - f g + h e\right) - b h p q e \log\left({\left(h x + g\right)} f - f g + h e\right) - b f g p q \log\left(h\right) + b h p q e \log\left(h\right) - 2 \, {\left(h x + g\right)} b f p q + b f g q \log\left(d\right) - b h q e \log\left(d\right) + b f g \log\left(c\right) - b h e \log\left(c\right) + a f g - a h e\right)}}{3 \, {\left({\left(h x + g\right)}^{\frac{3}{2}} f g h - {\left(h x + g\right)}^{\frac{3}{2}} h^{2} e\right)}}"," ",0,"4/3*b*f^2*p*q*arctan(sqrt(h*x + g)*f/sqrt(-f^2*g + f*h*e))/(sqrt(-f^2*g + f*h*e)*(f*g*h - h^2*e)) - 2/3*(b*f*g*p*q*log((h*x + g)*f - f*g + h*e) - b*h*p*q*e*log((h*x + g)*f - f*g + h*e) - b*f*g*p*q*log(h) + b*h*p*q*e*log(h) - 2*(h*x + g)*b*f*p*q + b*f*g*q*log(d) - b*h*q*e*log(d) + b*f*g*log(c) - b*h*e*log(c) + a*f*g - a*h*e)/((h*x + g)^(3/2)*f*g*h - (h*x + g)^(3/2)*h^2*e)","B",0
487,1,378,0,0.356733," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(7/2),x, algorithm=""giac"")","\frac{4 \, b f^{3} h p q \arctan\left(\frac{\sqrt{h x + g} f}{\sqrt{-f^{2} g + f h e}}\right)}{5 \, {\left(f^{2} g^{2} h^{2} - 2 \, f g h^{3} e + h^{4} e^{2}\right)} \sqrt{-f^{2} g + f h e}} - \frac{2 \, {\left(3 \, b f^{2} g^{2} p q \log\left({\left(h x + g\right)} f - f g + h e\right) - 6 \, b f g h p q e \log\left({\left(h x + g\right)} f - f g + h e\right) - 3 \, b f^{2} g^{2} p q \log\left(h\right) + 6 \, b f g h p q e \log\left(h\right) - 6 \, {\left(h x + g\right)}^{2} b f^{2} p q - 2 \, {\left(h x + g\right)} b f^{2} g p q + 2 \, {\left(h x + g\right)} b f h p q e + 3 \, b h^{2} p q e^{2} \log\left({\left(h x + g\right)} f - f g + h e\right) + 3 \, b f^{2} g^{2} q \log\left(d\right) - 6 \, b f g h q e \log\left(d\right) - 3 \, b h^{2} p q e^{2} \log\left(h\right) + 3 \, b f^{2} g^{2} \log\left(c\right) - 6 \, b f g h e \log\left(c\right) + 3 \, b h^{2} q e^{2} \log\left(d\right) + 3 \, a f^{2} g^{2} - 6 \, a f g h e + 3 \, b h^{2} e^{2} \log\left(c\right) + 3 \, a h^{2} e^{2}\right)}}{15 \, {\left({\left(h x + g\right)}^{\frac{5}{2}} f^{2} g^{2} h - 2 \, {\left(h x + g\right)}^{\frac{5}{2}} f g h^{2} e + {\left(h x + g\right)}^{\frac{5}{2}} h^{3} e^{2}\right)}}"," ",0,"4/5*b*f^3*h*p*q*arctan(sqrt(h*x + g)*f/sqrt(-f^2*g + f*h*e))/((f^2*g^2*h^2 - 2*f*g*h^3*e + h^4*e^2)*sqrt(-f^2*g + f*h*e)) - 2/15*(3*b*f^2*g^2*p*q*log((h*x + g)*f - f*g + h*e) - 6*b*f*g*h*p*q*e*log((h*x + g)*f - f*g + h*e) - 3*b*f^2*g^2*p*q*log(h) + 6*b*f*g*h*p*q*e*log(h) - 6*(h*x + g)^2*b*f^2*p*q - 2*(h*x + g)*b*f^2*g*p*q + 2*(h*x + g)*b*f*h*p*q*e + 3*b*h^2*p*q*e^2*log((h*x + g)*f - f*g + h*e) + 3*b*f^2*g^2*q*log(d) - 6*b*f*g*h*q*e*log(d) - 3*b*h^2*p*q*e^2*log(h) + 3*b*f^2*g^2*log(c) - 6*b*f*g*h*e*log(c) + 3*b*h^2*q*e^2*log(d) + 3*a*f^2*g^2 - 6*a*f*g*h*e + 3*b*h^2*e^2*log(c) + 3*a*h^2*e^2)/((h*x + g)^(5/2)*f^2*g^2*h - 2*(h*x + g)^(5/2)*f*g*h^2*e + (h*x + g)^(5/2)*h^3*e^2)","B",0
488,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(9/2),x, algorithm=""giac"")","\int \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{{\left(h x + g\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g)^(9/2), x)","F",0
489,0,0,0,0.000000," ","integrate((h*x+g)^(3/2)*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","\int {\left(h x + g\right)}^{\frac{3}{2}} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((h*x + g)^(3/2)*(b*log(((f*x + e)^p*d)^q*c) + a)^2, x)","F",0
490,0,0,0,0.000000," ","integrate((h*x+g)^(1/2)*(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","\int \sqrt{h x + g} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate(sqrt(h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)^2, x)","F",0
491,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}{\sqrt{h x + g}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^2/sqrt(h*x + g), x)","F",0
492,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}{{\left(h x + g\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^2/(h*x + g)^(3/2), x)","F",0
493,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}{{\left(h x + g\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^2/(h*x + g)^(5/2), x)","F",0
494,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}{{\left(h x + g\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^2/(h*x + g)^(7/2), x)","F",0
495,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}{{\left(h x + g\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^2/(h*x + g)^(9/2), x)","F",0
496,0,0,0,0.000000," ","integrate((h*x+g)^(3/2)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\int \frac{{\left(h x + g\right)}^{\frac{3}{2}}}{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate((h*x + g)^(3/2)/(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
497,0,0,0,0.000000," ","integrate((h*x+g)^(1/2)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\int \frac{\sqrt{h x + g}}{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(h*x + g)/(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
498,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{h x + g} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
499,0,0,0,0.000000," ","integrate(1/(h*x+g)^(3/2)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)}^{\frac{3}{2}} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((h*x + g)^(3/2)*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
500,0,0,0,0.000000," ","integrate((h*x+g)^(1/2)*(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""giac"")","\int \sqrt{h x + g} \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate(sqrt(h*x + g)*sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
501,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2)/(h*x+g)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}{\sqrt{h x + g}}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^p*d)^q*c) + a)/sqrt(h*x + g), x)","F",0
502,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^(1/2)/(h*x+g)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}{{\left(h x + g\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g)^(3/2), x)","F",0
503,0,0,0,0.000000," ","integrate((h*x+g)^(1/2)/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{h x + g}}{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate(sqrt(h*x + g)/sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
504,0,0,0,0.000000," ","integrate(1/(h*x+g)^(1/2)/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{h x + g} \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate(1/(sqrt(h*x + g)*sqrt(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
505,0,0,0,0.000000," ","integrate(1/(h*x+g)^(3/2)/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)}^{\frac{3}{2}} \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate(1/((h*x + g)^(3/2)*sqrt(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
506,0,0,0,0.000000," ","integrate((h*x+g)^m*(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\int {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)} {\left(h x + g\right)}^{m}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)*(h*x + g)^m, x)","F",0
507,0,0,0,0.000000," ","integrate((h*x+g)^m/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\int \frac{{\left(h x + g\right)}^{m}}{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}\,{d x}"," ",0,"integrate((h*x + g)^m/(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
508,0,0,0,0.000000," ","integrate((h*x+g)^m/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","\int \frac{{\left(h x + g\right)}^{m}}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((h*x + g)^m/(b*log(((f*x + e)^p*d)^q*c) + a)^2, x)","F",0
509,0,0,0,0.000000," ","integrate((h*x+g)^m*(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""giac"")","\int {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}} {\left(h x + g\right)}^{m}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^(3/2)*(h*x + g)^m, x)","F",0
510,0,0,0,0.000000," ","integrate((h*x+g)^m*(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a} {\left(h x + g\right)}^{m}\,{d x}"," ",0,"integrate(sqrt(b*log(((f*x + e)^p*d)^q*c) + a)*(h*x + g)^m, x)","F",0
511,0,0,0,0.000000," ","integrate((h*x+g)^m/(a+b*log(c*(d*(f*x+e)^p)^q))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(h x + g\right)}^{m}}{\sqrt{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}}\,{d x}"," ",0,"integrate((h*x + g)^m/sqrt(b*log(((f*x + e)^p*d)^q*c) + a), x)","F",0
512,0,0,0,0.000000," ","integrate((h*x+g)^m/(a+b*log(c*(d*(f*x+e)^p)^q))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(h x + g\right)}^{m}}{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((h*x + g)^m/(b*log(((f*x + e)^p*d)^q*c) + a)^(3/2), x)","F",0
513,0,0,0,0.000000," ","integrate((h*x+g)^m*(a+b*log(c*(d*(f*x+e)^p)^q))^n,x, algorithm=""giac"")","\int {\left(h x + g\right)}^{m} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((h*x + g)^m*(b*log(((f*x + e)^p*d)^q*c) + a)^n, x)","F",0
514,0,0,0,0.000000," ","integrate((h*x+g)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^n,x, algorithm=""giac"")","\int {\left(h x + g\right)}^{2} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((h*x + g)^2*(b*log(((f*x + e)^p*d)^q*c) + a)^n, x)","F",0
515,0,0,0,0.000000," ","integrate((h*x+g)*(a+b*log(c*(d*(f*x+e)^p)^q))^n,x, algorithm=""giac"")","\int {\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)^n, x)","F",0
516,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^n,x, algorithm=""giac"")","\int {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^n, x)","F",0
517,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^n/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{n}}{h x + g}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^n/(h*x + g), x)","F",0
518,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x^2+g),x, algorithm=""giac"")","\int \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{h x^{2} + g}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)/(h*x^2 + g), x)","F",0
519,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x^2+2)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{\sqrt{h x^{2} + 2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)/sqrt(h*x^2 + 2), x)","F",0
520,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x^2+g)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{\sqrt{h x^{2} + g}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)/sqrt(h*x^2 + g), x)","F",0
521,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(-h*x+2)^(1/2)/(h*x+2)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{\sqrt{h x + 2} \sqrt{-h x + 2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)/(sqrt(h*x + 2)*sqrt(-h*x + 2)), x)","F",0
522,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(-h*x+g)^(1/2)/(h*x+g)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{\sqrt{h x + g} \sqrt{-h x + g}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)/(sqrt(h*x + g)*sqrt(-h*x + g)), x)","F",0
523,0,0,0,0.000000," ","integrate((j*x+i)^3*(a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(j x + i\right)}^{3} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}{h x + g}\,{d x}"," ",0,"integrate((j*x + i)^3*(b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g), x)","F",0
524,0,0,0,0.000000," ","integrate((j*x+i)^2*(a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(j x + i\right)}^{2} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}{h x + g}\,{d x}"," ",0,"integrate((j*x + i)^2*(b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g), x)","F",0
525,0,0,0,0.000000," ","integrate((j*x+i)*(a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(j x + i\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}{h x + g}\,{d x}"," ",0,"integrate((j*x + i)*(b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g), x)","F",0
526,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g),x, algorithm=""giac"")","\int \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{h x + g}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)/(h*x + g), x)","F",0
527,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)/(j*x+i),x, algorithm=""giac"")","\int \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{{\left(h x + g\right)} {\left(j x + i\right)}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)/((h*x + g)*(j*x + i)), x)","F",0
528,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)/(j*x+i)^2,x, algorithm=""giac"")","\int \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{{\left(h x + g\right)} {\left(j x + i\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)/((h*x + g)*(j*x + i)^2), x)","F",0
529,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))/(h*x+g)/(j*x+i)^3,x, algorithm=""giac"")","\int \frac{b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a}{{\left(h x + g\right)} {\left(j x + i\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)/((h*x + g)*(j*x + i)^3), x)","F",0
530,0,0,0,0.000000," ","integrate((j*x+i)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(j x + i\right)}^{2} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}{h x + g}\,{d x}"," ",0,"integrate((j*x + i)^2*(b*log(((f*x + e)^p*d)^q*c) + a)^2/(h*x + g), x)","F",0
531,0,0,0,0.000000," ","integrate((j*x+i)*(a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(j x + i\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}{h x + g}\,{d x}"," ",0,"integrate((j*x + i)*(b*log(((f*x + e)^p*d)^q*c) + a)^2/(h*x + g), x)","F",0
532,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}{h x + g}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^2/(h*x + g), x)","F",0
533,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)/(j*x+i),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}{{\left(h x + g\right)} {\left(j x + i\right)}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^2/((h*x + g)*(j*x + i)), x)","F",0
534,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^2/(h*x+g)/(j*x+i)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}{{\left(h x + g\right)} {\left(j x + i\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^2/((h*x + g)*(j*x + i)^2), x)","F",0
535,0,0,0,0.000000," ","integrate((j*x+i)^2*(a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(j x + i\right)}^{2} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{3}}{h x + g}\,{d x}"," ",0,"integrate((j*x + i)^2*(b*log(((f*x + e)^p*d)^q*c) + a)^3/(h*x + g), x)","F",0
536,0,0,0,0.000000," ","integrate((j*x+i)*(a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(j x + i\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{3}}{h x + g}\,{d x}"," ",0,"integrate((j*x + i)*(b*log(((f*x + e)^p*d)^q*c) + a)^3/(h*x + g), x)","F",0
537,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{3}}{h x + g}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^3/(h*x + g), x)","F",0
538,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g)/(j*x+i),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{3}}{{\left(h x + g\right)} {\left(j x + i\right)}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^3/((h*x + g)*(j*x + i)), x)","F",0
539,0,0,0,0.000000," ","integrate((a+b*log(c*(d*(f*x+e)^p)^q))^3/(h*x+g)/(j*x+i)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{3}}{{\left(h x + g\right)} {\left(j x + i\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(((f*x + e)^p*d)^q*c) + a)^3/((h*x + g)*(j*x + i)^2), x)","F",0
540,0,0,0,0.000000," ","integrate((j*x+i)/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\int \frac{j x + i}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate((j*x + i)/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
541,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
542,0,0,0,0.000000," ","integrate(1/(h*x+g)/(j*x+i)/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)} {\left(j x + i\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(j*x + i)*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
543,0,0,0,0.000000," ","integrate(1/(h*x+g)/(j*x+i)^2/(a+b*log(c*(d*(f*x+e)^p)^q)),x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)} {\left(j x + i\right)}^{2} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(j*x + i)^2*(b*log(((f*x + e)^p*d)^q*c) + a)), x)","F",0
544,0,0,0,0.000000," ","integrate((j*x+i)/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","\int \frac{j x + i}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((j*x + i)/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)^2), x)","F",0
545,0,0,0,0.000000," ","integrate(1/(h*x+g)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(b*log(((f*x + e)^p*d)^q*c) + a)^2), x)","F",0
546,0,0,0,0.000000," ","integrate(1/(h*x+g)/(j*x+i)/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)} {\left(j x + i\right)} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(j*x + i)*(b*log(((f*x + e)^p*d)^q*c) + a)^2), x)","F",0
547,0,0,0,0.000000," ","integrate(1/(h*x+g)/(j*x+i)^2/(a+b*log(c*(d*(f*x+e)^p)^q))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(h x + g\right)} {\left(j x + i\right)}^{2} {\left(b \log\left(\left({\left(f x + e\right)}^{p} d\right)^{q} c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((h*x + g)*(j*x + i)^2*(b*log(((f*x + e)^p*d)^q*c) + a)^2), x)","F",0
