1,1,129,81,0.043000," ","int(ln((e*x+d)*c)^4,x)","x \ln \left(c e x +c d \right)^{4}+\frac{d \ln \left(c e x +c d \right)^{4}}{e}-4 x \ln \left(c e x +c d \right)^{3}-\frac{4 d \ln \left(c e x +c d \right)^{3}}{e}+12 x \ln \left(c e x +c d \right)^{2}+\frac{12 d \ln \left(c e x +c d \right)^{2}}{e}-24 x \ln \left(c e x +c d \right)-\frac{24 d \ln \left(c e x +c d \right)}{e}+24 x +\frac{24 d}{e}"," ",0,"ln(c*e*x+c*d)^4*x+1/e*ln(c*e*x+c*d)^4*d-4*ln(c*e*x+c*d)^3*x-4/e*ln(c*e*x+c*d)^3*d+12*ln(c*e*x+c*d)^2*x+12/e*ln(c*e*x+c*d)^2*d-24*ln(c*e*x+c*d)*x-24/e*ln(c*e*x+c*d)*d+24*x+24*d/e","A"
2,1,98,61,0.042000," ","int(ln((e*x+d)*c)^3,x)","x \ln \left(c e x +c d \right)^{3}+\frac{d \ln \left(c e x +c d \right)^{3}}{e}-3 x \ln \left(c e x +c d \right)^{2}-\frac{3 d \ln \left(c e x +c d \right)^{2}}{e}+6 x \ln \left(c e x +c d \right)+\frac{6 d \ln \left(c e x +c d \right)}{e}-6 x -\frac{6 d}{e}"," ",0,"x*ln(c*e*x+c*d)^3+d/e*ln(c*e*x+c*d)^3-3*x*ln(c*e*x+c*d)^2-3*d/e*ln(c*e*x+c*d)^2+6*x*ln(c*e*x+c*d)+6*d/e*ln(c*e*x+c*d)-6*x-6*d/e","A"
3,1,67,41,0.040000," ","int(ln((e*x+d)*c)^2,x)","x \ln \left(c e x +c d \right)^{2}+\frac{d \ln \left(c e x +c d \right)^{2}}{e}-2 x \ln \left(c e x +c d \right)-\frac{2 d \ln \left(c e x +c d \right)}{e}+2 x +\frac{2 d}{e}"," ",0,"x*ln(c*e*x+c*d)^2+d/e*ln(c*e*x+c*d)^2-2*x*ln(c*e*x+c*d)-2*d/e*ln(c*e*x+c*d)+2*x+2*d/e","A"
4,1,36,21,0.035000," ","int(ln((e*x+d)*c),x)","x \ln \left(c e x +c d \right)+\frac{d \ln \left(c e x +c d \right)}{e}-x -\frac{d}{e}"," ",0,"x*ln(c*e*x+c*d)+d/e*ln(c*e*x+c*d)-x-d/e","A"
5,-1,0,15,180.000000," ","int(1/ln((e*x+d)*c),x)","\text{hanged}"," ",0,"int(1/ln((e*x+d)*c),x)","F"
6,1,54,38,0.050000," ","int(1/ln((e*x+d)*c)^2,x)","-\frac{x}{\ln \left(c e x +c d \right)}-\frac{\Ei \left(1, -\ln \left(c e x +c d \right)\right)}{c e}-\frac{d}{e \ln \left(c e x +c d \right)}"," ",0,"-1/ln(c*e*x+c*d)*x-1/e/ln(c*e*x+c*d)*d-1/c/e*Ei(1,-ln(c*e*x+c*d))","A"
7,1,85,63,0.040000," ","int(1/ln((e*x+d)*c)^3,x)","-\frac{x}{2 \ln \left(c e x +c d \right)}-\frac{\Ei \left(1, -\ln \left(c e x +c d \right)\right)}{2 c e}-\frac{d}{2 e \ln \left(c e x +c d \right)}-\frac{x}{2 \ln \left(c e x +c d \right)^{2}}-\frac{d}{2 e \ln \left(c e x +c d \right)^{2}}"," ",0,"-1/2/ln(c*e*x+c*d)^2*x-1/2/e/ln(c*e*x+c*d)^2*d-1/2*x/ln(c*e*x+c*d)-1/2*d/e/ln(c*e*x+c*d)-1/2/c/e*Ei(1,-ln(c*e*x+c*d))","A"
8,1,116,86,0.043000," ","int(1/ln((e*x+d)*c)^4,x)","-\frac{x}{6 \ln \left(c e x +c d \right)}-\frac{\Ei \left(1, -\ln \left(c e x +c d \right)\right)}{6 c e}-\frac{d}{6 e \ln \left(c e x +c d \right)}-\frac{x}{6 \ln \left(c e x +c d \right)^{2}}-\frac{d}{6 e \ln \left(c e x +c d \right)^{2}}-\frac{x}{3 \ln \left(c e x +c d \right)^{3}}-\frac{d}{3 e \ln \left(c e x +c d \right)^{3}}"," ",0,"-1/3/ln(c*e*x+c*d)^3*x-1/3/e/ln(c*e*x+c*d)^3*d-1/6*x/ln(c*e*x+c*d)^2-1/6*d/e/ln(c*e*x+c*d)^2-1/6*x/ln(c*e*x+c*d)-1/6*d/e/ln(c*e*x+c*d)-1/6/c/e*Ei(1,-ln(c*e*x+c*d))","A"
9,0,0,82,0.108000," ","int(ln((e*x+d)*c)^(5/2),x)","\int \ln \left(\left(e x +d \right) c \right)^{\frac{5}{2}}\, dx"," ",0,"int(ln((e*x+d)*c)^(5/2),x)","F"
10,0,0,62,0.084000," ","int(ln((e*x+d)*c)^(3/2),x)","\int \ln \left(\left(e x +d \right) c \right)^{\frac{3}{2}}\, dx"," ",0,"int(ln((e*x+d)*c)^(3/2),x)","F"
11,0,0,42,0.187000," ","int(ln((e*x+d)*c)^(1/2),x)","\int \sqrt{\ln \left(\left(e x +d \right) c \right)}\, dx"," ",0,"int(ln((e*x+d)*c)^(1/2),x)","F"
12,0,0,21,0.054000," ","int(1/ln((e*x+d)*c)^(1/2),x)","\int \frac{1}{\sqrt{\ln \left(\left(e x +d \right) c \right)}}\, dx"," ",0,"int(1/ln((e*x+d)*c)^(1/2),x)","F"
13,0,0,43,0.048000," ","int(1/ln((e*x+d)*c)^(3/2),x)","\int \frac{1}{\ln \left(\left(e x +d \right) c \right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/ln((e*x+d)*c)^(3/2),x)","F"
14,0,0,63,0.050000," ","int(1/ln((e*x+d)*c)^(5/2),x)","\int \frac{1}{\ln \left(\left(e x +d \right) c \right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/ln((e*x+d)*c)^(5/2),x)","F"
15,0,0,83,0.050000," ","int(1/ln((e*x+d)*c)^(7/2),x)","\int \frac{1}{\ln \left(\left(e x +d \right) c \right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/ln((e*x+d)*c)^(7/2),x)","F"
16,0,0,45,0.056000," ","int(ln((e*x+d)*c)^p,x)","\int \ln \left(\left(e x +d \right) c \right)^{p}\, dx"," ",0,"int(ln((e*x+d)*c)^p,x)","F"
17,1,15871,131,1.631000," ","int((b*ln(c*(e*x+d)^n)+a)^4,x)","\text{output too large to display}"," ",0,"result too large to display","C"
18,1,4872,99,0.698000," ","int((b*ln(c*(e*x+d)^n)+a)^3,x)","\text{output too large to display}"," ",0,"a^3*x+x*b^3*ln((e*x+d)^n)^3-6*b^3*n^3*x+6*a*b^2*n^2*x-3*I/e*ln(c)*Pi*ln(e*x+d)*b^3*d*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-3*I/e*Pi*ln(e*x+d)*a*b^2*d*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+3/4*b*(8*ln(e*x+d)*a*b*d*n-4*b^2*d*n^2*ln(e*x+d)^2+4*b^2*e*x*ln(c)^2-8*ln(e*x+d)*b^2*d*n^2+4*a^2*e*x+4*I*Pi*ln(e*x+d)*b^2*d*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+4*I*ln(c)*Pi*b^2*e*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+4*I*ln(c)*Pi*b^2*e*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-4*I*Pi*b^2*e*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-Pi^2*b^2*e*x*csgn(I*c*(e*x+d)^n)^6+8*ln(c)*ln(e*x+d)*b^2*d*n+8*b^2*e*n^2*x-8*b^2*e*n*x*ln(c)+8*a*b*e*x*ln(c)-4*I*Pi*b^2*e*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+4*I*Pi*a*b*e*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+4*I*Pi*a*b*e*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+4*I*Pi*ln(e*x+d)*b^2*d*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-4*I*ln(c)*Pi*b^2*e*x*csgn(I*c*(e*x+d)^n)^3+4*I*Pi*b^2*e*n*x*csgn(I*c*(e*x+d)^n)^3-4*I*Pi*a*b*e*x*csgn(I*c*(e*x+d)^n)^3-4*I*ln(c)*Pi*b^2*e*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+4*I*Pi*b^2*e*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-4*I*Pi*ln(e*x+d)*b^2*d*n*csgn(I*c*(e*x+d)^n)^3+2*Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3+2*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3-4*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4-Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2-8*a*b*e*n*x+2*Pi^2*b^2*e*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4+2*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5-Pi^2*b^2*e*x*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4-4*I*Pi*a*b*e*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-4*I*Pi*ln(e*x+d)*b^2*d*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n))/e*ln((e*x+d)^n)+ln(c)^3*b^3*x+3/2*b^2*(-I*Pi*b*e*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*e*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*e*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*e*x*csgn(I*c*(e*x+d)^n)^3+2*b*e*x*ln(c)+2*b*d*n*ln(e*x+d)-2*b*e*n*x+2*a*e*x)/e*ln((e*x+d)^n)^2-3*a^2*b*n*x+3*ln(c)*a^2*b*x+3*ln(c)^2*a*b^2*x-3*ln(c)^2*b^3*n*x+6*ln(c)*b^3*n^2*x-3/4*Pi^2*a*b^2*x*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4-3/e*ln(c)*b^3*d*n^2*ln(e*x+d)^2+3/e*ln(c)^2*ln(e*x+d)*b^3*d*n-6/e*ln(c)*ln(e*x+d)*b^3*d*n^2-3/e*a*b^2*d*n^2*ln(e*x+d)^2-6/e*ln(e*x+d)*a*b^2*d*n^2+3/e*ln(e*x+d)*a^2*b*d*n-3*I*Pi*b^3*n^2*x*csgn(I*c*(e*x+d)^n)^3-3/2*I*Pi*a^2*b*x*csgn(I*c*(e*x+d)^n)^3-1/8*I*Pi^3*b^3*x*csgn(I*(e*x+d)^n)^3*csgn(I*c*(e*x+d)^n)^6+3/8*I*Pi^3*b^3*x*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^7-3/8*I*Pi^3*b^3*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^8-3/8*I*Pi^3*b^3*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^8+3/8*I*Pi^3*b^3*x*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^7-1/8*I*Pi^3*b^3*x*csgn(I*c)^3*csgn(I*c*(e*x+d)^n)^6-3/2*I*ln(c)^2*Pi*b^3*x*csgn(I*c*(e*x+d)^n)^3+6/e*ln(c)*ln(e*x+d)*a*b^2*d*n-3/4/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c*(e*x+d)^n)^6+3/2*ln(c)*Pi^2*b^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3-3/4*ln(c)*Pi^2*b^3*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2-3*ln(c)*Pi^2*b^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4+3/2*ln(c)*Pi^2*b^3*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3-3/2*Pi^2*b^3*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3+3/4*Pi^2*b^3*n*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2+3*Pi^2*b^3*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4-3/2*Pi^2*b^3*n*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3+3/2*Pi^2*a*b^2*x*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3-3/4*Pi^2*a*b^2*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2-3*Pi^2*a*b^2*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4+3/2*Pi^2*a*b^2*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3+3/2*I/e*Pi*b^3*d*n^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*ln(e*x+d)^2+3*I/e*ln(c)*Pi*ln(e*x+d)*b^3*d*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+3*I/e*ln(c)*Pi*ln(e*x+d)*b^3*d*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+3*I/e*Pi*b^3*d*n^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*ln(e*x+d)+3*I/e*Pi*ln(e*x+d)*a*b^2*d*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+3*I/e*Pi*ln(e*x+d)*a*b^2*d*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-3/4*ln(c)*Pi^2*b^3*x*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+3/2*ln(c)*Pi^2*b^3*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5+3/2*ln(c)*Pi^2*b^3*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5-3/4*ln(c)*Pi^2*b^3*x*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4+3/4*Pi^2*b^3*n*x*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4-3/2*Pi^2*b^3*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-3/2*Pi^2*b^3*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5+3/4*Pi^2*b^3*n*x*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4-3/4*Pi^2*a*b^2*x*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+3/2*Pi^2*a*b^2*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5+3/2*Pi^2*a*b^2*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5-6*ln(c)*a*b^2*n*x+1/e*b^3*d*n^3*ln(e*x+d)^3+3/e*b^3*d*n^3*ln(e*x+d)^2-3/4*ln(c)*Pi^2*b^3*x*csgn(I*c*(e*x+d)^n)^6+3/4*Pi^2*b^3*n*x*csgn(I*c*(e*x+d)^n)^6-3/4*Pi^2*a*b^2*x*csgn(I*c*(e*x+d)^n)^6+1/8*I*Pi^3*b^3*x*csgn(I*c*(e*x+d)^n)^9+6*b^3*d*n^3/e*ln(e*x+d)-3/4/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2-3/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4+3/2/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3+3*I*ln(c)*Pi*b^3*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-3*I*ln(c)*Pi*a*b^2*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+3*I*Pi*a*b^2*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-3/2*I/e*Pi*b^3*d*n^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*ln(e*x+d)^2-3/2*I/e*Pi*b^3*d*n^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*ln(e*x+d)^2-3*I/e*ln(c)*Pi*ln(e*x+d)*b^3*d*n*csgn(I*c*(e*x+d)^n)^3-3*I/e*Pi*b^3*d*n^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*ln(e*x+d)-3*I/e*Pi*b^3*d*n^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*ln(e*x+d)-3*I/e*Pi*ln(e*x+d)*a*b^2*d*n*csgn(I*c*(e*x+d)^n)^3+3/2/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3-3/4/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+3/2/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5+3/2/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5-3/4/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4+3/2*I/e*Pi*b^3*d*n^2*csgn(I*c*(e*x+d)^n)^3*ln(e*x+d)^2+3*I/e*Pi*b^3*d*n^2*csgn(I*c*(e*x+d)^n)^3*ln(e*x+d)-3/2*I*ln(c)^2*Pi*b^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-3*I*ln(c)*Pi*b^3*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-3*I*ln(c)*Pi*b^3*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-3*I*Pi*b^3*n^2*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+3*I*ln(c)*Pi*a*b^2*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+3*I*ln(c)*Pi*a*b^2*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-3*I*Pi*a*b^2*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-3*I*Pi*a*b^2*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-3/2*I*Pi*a^2*b*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+3/8*I*Pi^3*b^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)^3*csgn(I*c*(e*x+d)^n)^5-3/8*I*Pi^3*b^3*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)^3*csgn(I*c*(e*x+d)^n)^4+1/8*I*Pi^3*b^3*x*csgn(I*c)^3*csgn(I*(e*x+d)^n)^3*csgn(I*c*(e*x+d)^n)^3-9/8*I*Pi^3*b^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^6+9/8*I*Pi^3*b^3*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^5-3/8*I*Pi^3*b^3*x*csgn(I*c)^3*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+9/8*I*Pi^3*b^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^7-9/8*I*Pi^3*b^3*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^6+3/8*I*Pi^3*b^3*x*csgn(I*c)^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5+3/2*I*ln(c)^2*Pi*b^3*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+3/2*I*ln(c)^2*Pi*b^3*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+3*I*ln(c)*Pi*b^3*n*x*csgn(I*c*(e*x+d)^n)^3+3*I*Pi*b^3*n^2*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+3*I*Pi*b^3*n^2*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-3*I*ln(c)*Pi*a*b^2*x*csgn(I*c*(e*x+d)^n)^3+3*I*Pi*a*b^2*n*x*csgn(I*c*(e*x+d)^n)^3+3/2*I*Pi*a^2*b*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+3/2*I*Pi*a^2*b*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2","C"
19,1,130,65,0.066000," ","int((b*ln(c*(e*x+d)^n)+a)^2,x)","-\frac{2 b^{2} d \,n^{2} \ln \left(e x +d \right)}{e}+2 b^{2} n^{2} x -2 b^{2} n x \ln \left(c \,{\mathrm e}^{n \ln \left(e x +d \right)}\right)+b^{2} x \ln \left(c \,{\mathrm e}^{n \ln \left(e x +d \right)}\right)^{2}+\frac{2 a b d n \ln \left(e x +d \right)}{e}-2 a b n x +2 a b x \ln \left(c \left(e x +d \right)^{n}\right)+\frac{b^{2} d \ln \left(c \,{\mathrm e}^{n \ln \left(e x +d \right)}\right)^{2}}{e}+a^{2} x"," ",0,"a^2*x+b^2*x*ln(c*exp(n*ln(e*x+d)))^2+b^2*d/e*ln(c*exp(n*ln(e*x+d)))^2+2*b^2*n^2*x-2*b^2*n*x*ln(c*exp(n*ln(e*x+d)))-2*n^2*b^2*d/e*ln(e*x+d)+2*a*b*x*ln(c*(e*x+d)^n)-2*a*b*n*x+2*a*b/e*n*d*ln(e*x+d)","A"
20,1,36,29,0.043000," ","int(b*ln(c*(e*x+d)^n)+a,x)","\frac{b d n \ln \left(e x +d \right)}{e}-b n x +b x \ln \left(c \left(e x +d \right)^{n}\right)+a x"," ",0,"a*x+b*x*ln(c*(e*x+d)^n)-b*n*x+b/e*n*d*ln(e*x+d)","A"
21,1,311,63,0.656000," ","int(1/(b*ln(c*(e*x+d)^n)+a),x)","-\frac{\left(e x +d \right) c^{-\frac{1}{n}} \left(\left(e x +d \right)^{n}\right)^{-\frac{1}{n}} \Ei \left(1, -\ln \left(e x +d \right)-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 a +2 \left(-n \ln \left(e x +d \right)+\ln \left(\left(e x +d \right)^{n}\right)\right) b}{2 b n}\right) {\mathrm e}^{-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 a}{2 b n}}}{b e n}"," ",0,"-1/e/b/n*(e*x+d)*((e*x+d)^n)^(-1/n)*c^(-1/n)*exp(-1/2*(-I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*b*Pi*csgn(I*c*(e*x+d)^n)^3+2*a)/b/n)*Ei(1,-ln(e*x+d)-1/2*(-I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*b*Pi*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*b*(ln((e*x+d)^n)-n*ln(e*x+d))+2*a)/b/n)","C"
22,1,456,98,0.662000," ","int(1/(b*ln(c*(e*x+d)^n)+a)^2,x)","-\frac{\left(e x +d \right) c^{-\frac{1}{n}} \left(\left(e x +d \right)^{n}\right)^{-\frac{1}{n}} \Ei \left(1, -\ln \left(e x +d \right)-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 a +2 \left(-n \ln \left(e x +d \right)+\ln \left(\left(e x +d \right)^{n}\right)\right) b}{2 b n}\right) {\mathrm e}^{-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 a}{2 b n}}}{b^{2} e \,n^{2}}-\frac{2 \left(e x +d \right)}{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 b \ln \left(\left(e x +d \right)^{n}\right)+2 a \right) b e n}"," ",0,"-2/(2*b*ln(c)+2*b*ln((e*x+d)^n)-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*a)/b/n/e*(e*x+d)-1/b^2/n^2/e*(e*x+d)*((e*x+d)^n)^(-1/n)*c^(-1/n)*exp(-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*a)/b/n)*Ei(1,-ln(e*x+d)-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*a+2*(-n*ln(e*x+d)+ln((e*x+d)^n))*b)/b/n)","C"
23,1,734,135,0.661000," ","int(1/(b*ln(c*(e*x+d)^n)+a)^3,x)","-\frac{\left(e x +d \right) c^{-\frac{1}{n}} \left(\left(e x +d \right)^{n}\right)^{-\frac{1}{n}} \Ei \left(1, -\ln \left(e x +d \right)-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 a +2 \left(-n \ln \left(e x +d \right)+\ln \left(\left(e x +d \right)^{n}\right)\right) b}{2 b n}\right) {\mathrm e}^{-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 a}{2 b n}}}{2 b^{3} e \,n^{3}}-\frac{-i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b e x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b e x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b d \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b d \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b e n x +2 b e x \ln \left(c \right)+2 b e x \ln \left(\left(e x +d \right)^{n}\right)+2 a e x +2 b d n +2 b d \ln \left(c \right)+2 b d \ln \left(\left(e x +d \right)^{n}\right)+2 a d}{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 b \ln \left(\left(e x +d \right)^{n}\right)+2 a \right)^{2} b^{2} e \,n^{2}}"," ",0,"-(2*b*e*n*x+2*b*d*n+I*Pi*b*e*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*d*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*d*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*d*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*e*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*e*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*e*x*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*d*csgn(I*c*(e*x+d)^n)^3+2*b*e*x*ln(c)+2*b*e*x*ln((e*x+d)^n)+2*b*d*ln(c)+2*a*e*x+2*b*d*ln((e*x+d)^n)+2*a*d)/(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*b*ln((e*x+d)^n)+2*a)^2/b^2/n^2/e-1/2/b^3/n^3/e*(e*x+d)*c^(-1/n)*((e*x+d)^n)^(-1/n)*exp(-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*a)/b/n)*Ei(1,-ln(e*x+d)-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*a+2*(-n*ln(e*x+d)+ln((e*x+d)^n))*b)/b/n)","C"
24,0,0,155,0.889000," ","int((b*ln(c*(e*x+d)^n)+a)^(5/2),x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{5}{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(5/2),x)","F"
25,0,0,123,0.365000," ","int((b*ln(c*(e*x+d)^n)+a)^(3/2),x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(3/2),x)","F"
26,0,0,95,0.356000," ","int((b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
27,0,0,68,0.391000," ","int(1/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \frac{1}{\sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}\, dx"," ",0,"int(1/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
28,0,0,102,0.352000," ","int(1/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","\int \frac{1}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","F"
29,0,0,134,0.400000," ","int(1/(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","\int \frac{1}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","F"
30,0,0,166,0.355000," ","int(1/(b*ln(c*(e*x+d)^n)+a)^(7/2),x)","\int \frac{1}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/(b*ln(c*(e*x+d)^n)+a)^(7/2),x)","F"
31,0,0,107,1.143000," ","int((b*ln(c*(e*x+d)^n)+a)^p,x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{p}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^p,x)","F"
32,0,0,85,0.086000," ","int((a+b*ln(c*(e*x+d)^(1/2)))^p,x)","\int \left(b \ln \left(\sqrt{e x +d}\, c \right)+a \right)^{p}\, dx"," ",0,"int((a+b*ln(c*(e*x+d)^(1/2)))^p,x)","F"
33,1,26,20,0.066000," ","int((f*x+e)^(-1+p)/ln(d*(f*x+e)^p),x)","-\frac{\Ei \left(1, -\ln \left(d \left(f x +e \right)^{p}\right)\right)}{d f p}"," ",0,"-1/p/f/d*Ei(1,-ln(d*(f*x+e)^p))","A"
34,0,0,42,1.378000," ","int((f*g*x+e*g)^(-1+p)/ln(d*(f*x+e)^p),x)","\int \frac{\left(f g x +e g \right)^{p -1}}{\ln \left(d \left(f x +e \right)^{p}\right)}\, dx"," ",0,"int((f*g*x+e*g)^(-1+p)/ln(d*(f*x+e)^p),x)","F"
35,1,1105,164,0.350000," ","int((g*x+f)^4*(b*ln(c*(e*x+d)^n)+a),x)","\frac{a \,g^{4} x^{5}}{5}+\frac{b \,g^{4} x^{5} \ln \left(c \right)}{5}+b \,f^{4} x \ln \left(c \right)+\frac{\left(g x +f \right)^{5} b \ln \left(\left(e x +d \right)^{n}\right)}{5 g}+\frac{i \pi  b f \,g^{3} x^{4} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{i \pi  b f \,g^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{i \pi  b \,f^{4} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{i \pi  b \,f^{4} x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}-\frac{i \pi  b \,g^{4} x^{5} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{10}-\frac{i \pi  b \,f^{4} x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2}-i \pi  b \,f^{3} g \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+a \,f^{4} x -\frac{b \,g^{4} n \,x^{5}}{25}+a f \,g^{3} x^{4}+2 a \,f^{2} g^{2} x^{3}+2 a \,f^{3} g \,x^{2}-\frac{b \,f^{5} n \ln \left(e x +d \right)}{5 g}+b f \,g^{3} x^{4} \ln \left(c \right)+2 b \,f^{3} g \,x^{2} \ln \left(c \right)+2 b \,f^{2} g^{2} x^{3} \ln \left(c \right)+\frac{b d \,f^{4} n \ln \left(e x +d \right)}{e}-b \,f^{4} n x +\frac{b \,d^{3} g^{4} n \,x^{2}}{10 e^{3}}-b \,f^{3} g n \,x^{2}+\frac{b d \,g^{4} n \,x^{4}}{20 e}-\frac{b f \,g^{3} n \,x^{4}}{4}-\frac{b \,d^{2} g^{4} n \,x^{3}}{15 e^{2}}-\frac{2 b \,f^{2} g^{2} n \,x^{3}}{3}+\frac{b \,d^{5} g^{4} n \ln \left(e x +d \right)}{5 e^{5}}-\frac{i \pi  b f \,g^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2}-i \pi  b \,f^{2} g^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)-i \pi  b \,f^{3} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+\frac{b \,d^{3} f \,g^{3} n x}{e^{3}}-\frac{2 b \,d^{2} f^{2} g^{2} n x}{e^{2}}+\frac{2 b d \,f^{3} g n x}{e}+\frac{b d f \,g^{3} n \,x^{3}}{3 e}-\frac{b \,d^{2} f \,g^{3} n \,x^{2}}{2 e^{2}}+\frac{b d \,f^{2} g^{2} n \,x^{2}}{e}-\frac{b \,d^{4} f \,g^{3} n \ln \left(e x +d \right)}{e^{4}}+\frac{2 b \,d^{3} f^{2} g^{2} n \ln \left(e x +d \right)}{e^{3}}-\frac{2 b \,d^{2} f^{3} g n \ln \left(e x +d \right)}{e^{2}}-\frac{i \pi  b f \,g^{3} x^{4} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2}-i \pi  b \,f^{2} g^{2} x^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-\frac{b \,d^{4} g^{4} n x}{5 e^{4}}+i \pi  b \,f^{2} g^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+\frac{i \pi  b \,g^{4} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{10}+\frac{i \pi  b \,g^{4} x^{5} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{10}+i \pi  b \,f^{2} g^{2} x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,f^{3} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,f^{3} g \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-\frac{i \pi  b \,f^{4} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2}-\frac{i \pi  b \,g^{4} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{10}"," ",0,"1/5*g^4*a*x^5+1/5*g^4*ln(c)*b*x^5+ln(c)*b*f^4*x+1/5*(g*x+f)^5*b/g*ln((e*x+d)^n)+I*g^2*Pi*b*f^2*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+a*f^4*x-1/25*g^4*b*n*x^5+g^3*a*f*x^4+2*g^2*a*f^2*x^3+2*g*a*f^3*x^2-1/5/g*ln(e*x+d)*b*f^5*n+g^3*ln(c)*b*f*x^4+2*g*ln(c)*b*f^3*x^2+2*g^2*ln(c)*b*f^2*x^3+1/e*ln(e*x+d)*b*d*f^4*n-1/2*I*Pi*b*f^4*x*csgn(I*c*(e*x+d)^n)^3-1/10*I*g^4*Pi*b*x^5*csgn(I*c*(e*x+d)^n)^3-I*g*Pi*b*f^3*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-b*f^4*n*x+1/10/e^3*g^4*b*d^3*n*x^2-g*b*f^3*n*x^2+1/20/e*g^4*b*d*n*x^4-1/4*g^3*b*f*n*x^4-1/15/e^2*g^4*b*d^2*n*x^3-2/3*g^2*b*f^2*n*x^3+1/5/e^5*g^4*ln(e*x+d)*b*d^5*n+1/e^3*g^3*b*d^3*f*n*x-2/e^2*g^2*b*d^2*f^2*n*x+2/e*g*b*d*f^3*n*x+1/3/e*g^3*b*d*f*n*x^3-1/2/e^2*g^3*b*d^2*f*n*x^2+1/e*g^2*b*d*f^2*n*x^2-1/e^4*g^3*ln(e*x+d)*b*d^4*f*n+2/e^3*g^2*ln(e*x+d)*b*d^3*f^2*n-2/e^2*g*ln(e*x+d)*b*d^2*f^3*n-1/2*I*g^3*Pi*b*f*x^4*csgn(I*c*(e*x+d)^n)^3+1/2*I*Pi*b*f^4*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*Pi*b*f^4*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*g*Pi*b*f^3*x^2*csgn(I*c*(e*x+d)^n)^3+1/10*I*g^4*Pi*b*x^5*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*g^2*Pi*b*f^2*x^3*csgn(I*c*(e*x+d)^n)^3+1/10*I*g^4*Pi*b*x^5*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/5/e^4*g^4*b*d^4*n*x-I*g^2*Pi*b*f^2*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I*g^3*Pi*b*f*x^4*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*g^2*Pi*b*f^2*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*g*Pi*b*f^3*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*g*Pi*b*f^3*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I*g^3*Pi*b*f*x^4*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/10*I*g^4*Pi*b*x^5*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*g^3*Pi*b*f*x^4*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I*Pi*b*f^4*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)","C"
36,1,836,137,0.334000," ","int((g*x+f)^3*(b*ln(c*(e*x+d)^n)+a),x)","\frac{a \,g^{3} x^{4}}{4}+\frac{b \,g^{3} x^{4} \ln \left(c \right)}{4}+b \,f^{3} x \ln \left(c \right)+\frac{\left(g x +f \right)^{4} b \ln \left(\left(e x +d \right)^{n}\right)}{4 g}+\frac{i \pi  b \,g^{3} x^{4} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{8}-\frac{i \pi  b f \,g^{2} x^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2}-\frac{3 i \pi  b \,f^{2} g \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4}+\frac{i \pi  b \,f^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{i \pi  b \,f^{3} x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{b d f \,g^{2} n \,x^{2}}{2 e}-\frac{b \,d^{2} f \,g^{2} n x}{e^{2}}-\frac{3 b \,d^{2} f^{2} g n \ln \left(e x +d \right)}{2 e^{2}}+\frac{b \,d^{3} f \,g^{2} n \ln \left(e x +d \right)}{e^{3}}-\frac{i \pi  b \,f^{3} x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2}-\frac{i \pi  b f \,g^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2}-\frac{3 i \pi  b \,f^{2} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4}-\frac{i \pi  b \,g^{3} x^{4} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{8}+\frac{i \pi  b \,g^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{8}+a f \,g^{2} x^{3}+\frac{3 a \,f^{2} g \,x^{2}}{2}+a \,f^{3} x -\frac{b \,g^{3} n \,x^{4}}{16}-\frac{b \,f^{4} n \ln \left(e x +d \right)}{4 g}+b f \,g^{2} x^{3} \ln \left(c \right)+\frac{3 b \,f^{2} g \,x^{2} \ln \left(c \right)}{2}-\frac{i \pi  b \,g^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{8}+\frac{i \pi  b f \,g^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{i \pi  b f \,g^{2} x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{3 i \pi  b \,f^{2} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4}+\frac{3 i \pi  b \,f^{2} g \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4}-\frac{i \pi  b \,f^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2}+\frac{3 b d \,f^{2} g n x}{2 e}+\frac{b \,d^{3} g^{3} n x}{4 e^{3}}-b \,f^{3} n x +\frac{b d \,g^{3} n \,x^{3}}{12 e}-\frac{b f \,g^{2} n \,x^{3}}{3}-\frac{b \,d^{2} g^{3} n \,x^{2}}{8 e^{2}}-\frac{3 b \,f^{2} g n \,x^{2}}{4}+\frac{b d \,f^{3} n \ln \left(e x +d \right)}{e}-\frac{b \,d^{4} g^{3} n \ln \left(e x +d \right)}{4 e^{4}}"," ",0,"1/4*g^3*a*x^4+1/4*g^3*ln(c)*b*x^4+ln(c)*b*f^3*x+1/4*(g*x+f)^4*b/g*ln((e*x+d)^n)+1/2/e*g^2*b*d*f*n*x^2-1/e^2*g^2*b*d^2*f*n*x-3/2/e^2*g*ln(e*x+d)*b*d^2*f^2*n+1/e^3*g^2*ln(e*x+d)*b*d^3*f*n-3/4*I*g*Pi*b*f^2*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+g^2*a*f*x^3+3/2*g*a*f^2*x^2+a*f^3*x-1/16*g^3*b*n*x^4-1/4/g*ln(e*x+d)*b*f^4*n+g^2*ln(c)*b*f*x^3+3/2*g*ln(c)*b*f^2*x^2+3/2/e*g*b*d*f^2*n*x+1/2*I*Pi*b*f^3*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*Pi*b*f^3*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-3/4*I*g*Pi*b*f^2*x^2*csgn(I*c*(e*x+d)^n)^3+1/8*I*g^3*Pi*b*x^4*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I*g^2*Pi*b*f*x^3*csgn(I*c*(e*x+d)^n)^3+1/8*I*g^3*Pi*b*x^4*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/8*I*g^3*Pi*b*x^4*csgn(I*c*(e*x+d)^n)^3-1/2*I*Pi*b*f^3*x*csgn(I*c*(e*x+d)^n)^3+1/4/e^3*g^3*b*d^3*n*x-b*f^3*n*x+1/12/e*g^3*b*d*n*x^3-1/3*g^2*b*f*n*x^3-1/8/e^2*g^3*b*d^2*n*x^2-3/4*g*b*f^2*n*x^2+1/e*ln(e*x+d)*b*d*f^3*n-1/4/e^4*g^3*ln(e*x+d)*b*d^4*n-1/2*I*Pi*b*f^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/8*I*g^3*Pi*b*x^4*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*g^2*Pi*b*f*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*g^2*Pi*b*f*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+3/4*I*g*Pi*b*f^2*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+3/4*I*g*Pi*b*f^2*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*g^2*Pi*b*f*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)","C"
37,1,585,110,0.317000," ","int((g*x+f)^2*(b*ln(c*(e*x+d)^n)+a),x)","b \,f^{2} x \ln \left(c \right)+\frac{a \,g^{2} x^{3}}{3}+\frac{b \,g^{2} x^{3} \ln \left(c \right)}{3}+\frac{\left(g x +f \right)^{3} b \ln \left(\left(e x +d \right)^{n}\right)}{3 g}+\frac{b d f g n x}{e}-\frac{b \,d^{2} f g n \ln \left(e x +d \right)}{e^{2}}+b f g \,x^{2} \ln \left(c \right)-\frac{b \,f^{3} n \ln \left(e x +d \right)}{3 g}-\frac{b \,g^{2} n \,x^{3}}{9}+a f g \,x^{2}+a \,f^{2} x +\frac{i \pi  b \,g^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6}+\frac{i \pi  b \,g^{2} x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6}-\frac{i \pi  b f g \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2}+\frac{i \pi  b \,f^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{i \pi  b \,f^{2} x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{b d \,g^{2} n \,x^{2}}{6 e}-\frac{b f g n \,x^{2}}{2}-\frac{b \,d^{2} g^{2} n x}{3 e^{2}}-b \,f^{2} n x +\frac{b d \,f^{2} n \ln \left(e x +d \right)}{e}+\frac{b \,d^{3} g^{2} n \ln \left(e x +d \right)}{3 e^{3}}-\frac{i \pi  b \,g^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{6}+\frac{i \pi  b f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{i \pi  b f g \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}-\frac{i \pi  b \,f^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2}-\frac{i \pi  b \,g^{2} x^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{6}-\frac{i \pi  b \,f^{2} x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2}-\frac{i \pi  b f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2}"," ",0,"ln(c)*b*f^2*x+1/3*g^2*a*x^3+1/3*g^2*ln(c)*b*x^3+1/3*(g*x+f)^3*b/g*ln((e*x+d)^n)+1/e*g*b*d*f*n*x-1/e^2*g*ln(e*x+d)*b*d^2*f*n+1/2*I*Pi*b*f^2*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*Pi*b*f^2*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/6*I*g^2*Pi*b*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I*g*Pi*b*f*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+g*ln(c)*b*f*x^2-1/3/g*ln(e*x+d)*b*f^3*n-1/9*g^2*b*n*x^3+g*a*f*x^2+a*f^2*x+1/6/e*g^2*b*d*n*x^2-1/2*g*b*f*n*x^2-1/3/e^2*g^2*b*d^2*n*x-b*f^2*n*x+1/e*ln(e*x+d)*b*d*f^2*n+1/3/e^3*g^2*ln(e*x+d)*b*d^3*n+1/6*I*g^2*Pi*b*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*g*Pi*b*f*x^2*csgn(I*c*(e*x+d)^n)^3-1/6*I*g^2*Pi*b*x^3*csgn(I*c*(e*x+d)^n)^3-1/2*I*Pi*b*f^2*x*csgn(I*c*(e*x+d)^n)^3-1/6*I*g^2*Pi*b*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*g*Pi*b*f*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*g*Pi*b*f*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*Pi*b*f^2*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)","C"
38,1,101,83,0.070000," ","int((g*x+f)*(b*ln(c*(e*x+d)^n)+a),x)","-\frac{b g n \,x^{2}}{4}+\frac{b g \,x^{2} \ln \left(c \,{\mathrm e}^{n \ln \left(e x +d \right)}\right)}{2}+\frac{a g \,x^{2}}{2}-\frac{b \,d^{2} g n \ln \left(e x +d \right)}{2 e^{2}}+\frac{b d f n \ln \left(e x +d \right)}{e}+\frac{b d g n x}{2 e}-b f n x +b f x \ln \left(c \left(e x +d \right)^{n}\right)+a f x"," ",0,"a*f*x+1/2*a*x^2*g+b*f*x*ln(c*(e*x+d)^n)-b*f*n*x+b*f/e*n*d*ln(e*x+d)+1/2*b*g*x^2*ln(c*exp(n*ln(e*x+d)))-1/4*n*b*g*x^2-1/2*n*b*d^2*g/e^2*ln(e*x+d)+1/2*d*n*b*g/e*x","A"
39,1,36,29,0.044000," ","int(b*ln(c*(e*x+d)^n)+a,x)","\frac{b d n \ln \left(e x +d \right)}{e}-b n x +b x \ln \left(c \left(e x +d \right)^{n}\right)+a x"," ",0,"b*d/e*n*ln(e*x+d)-b*n*x+b*x*ln(c*(e*x+d)^n)+a*x","A"
40,1,261,63,0.295000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f),x)","-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 g}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g}-\frac{b n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{b n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g}+\frac{b \ln \left(c \right) \ln \left(g x +f \right)}{g}+\frac{b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{a \ln \left(g x +f \right)}{g}"," ",0,"b*ln(g*x+f)/g*ln((e*x+d)^n)-b/g*n*dilog(((g*x+f)*e+d*g-e*f)/(d*g-e*f))-b/g*n*ln(g*x+f)*ln(((g*x+f)*e+d*g-e*f)/(d*g-e*f))-1/2*I*ln(g*x+f)/g*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*ln(g*x+f)/g*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*ln(g*x+f)/g*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*ln(g*x+f)/g*b*Pi*csgn(I*c*(e*x+d)^n)^3+ln(g*x+f)/g*b*ln(c)+a*ln(g*x+f)/g","C"
41,1,354,76,0.335000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)^2,x)","-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) g}-\frac{-i \pi  b d g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b d g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b d g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b d g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+i \pi  b e f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)-i \pi  b e f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b e f \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b e f \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b e g n x \ln \left(e x +d \right)-2 b e g n x \ln \left(-g x -f \right)+2 b e f n \ln \left(e x +d \right)-2 b e f n \ln \left(-g x -f \right)+2 b d g \ln \left(c \right)-2 b e f \ln \left(c \right)+2 a d g -2 a e f}{2 \left(g x +f \right) \left(d g -e f \right) g}"," ",0,"-b/g/(g*x+f)*ln((e*x+d)^n)-1/2*(I*Pi*b*e*f*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*e*f*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*e*f*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*d*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*d*g*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*e*f*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*d*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*d*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-2*ln(-g*x-f)*b*e*g*n*x+2*ln(e*x+d)*b*e*g*n*x-2*ln(-g*x-f)*b*e*f*n+2*ln(e*x+d)*b*e*f*n+2*ln(c)*b*d*g-2*ln(c)*b*e*f+2*a*d*g-2*a*e*f)/(g*x+f)/g/(d*g-e*f)","C"
42,1,633,107,0.403000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)^3,x)","-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g x +f \right)^{2} g}-\frac{2 a \,d^{2} g^{2}+2 b \,d^{2} g^{2} \ln \left(c \right)+2 b \,e^{2} f^{2} \ln \left(c \right)+2 b d e f g n +2 b d e \,g^{2} n x -2 b \,e^{2} f g n x +2 a \,e^{2} f^{2}-2 b \,e^{2} f^{2} n -4 a d e f g -i \pi  b \,d^{2} g^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-i \pi  b \,e^{2} f^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 i \pi  b d e f g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,d^{2} g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,d^{2} g^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,e^{2} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,e^{2} f^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+4 b \,e^{2} f g n x \ln \left(g x +f \right)-4 b \,e^{2} f g n x \ln \left(-e x -d \right)+2 b \,e^{2} f^{2} n \ln \left(g x +f \right)-2 b \,e^{2} f^{2} n \ln \left(-e x -d \right)-i \pi  b \,e^{2} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+2 i \pi  b d e f g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-i \pi  b \,d^{2} g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)-2 i \pi  b d e f g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-2 i \pi  b d e f g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+2 b \,e^{2} g^{2} n \,x^{2} \ln \left(g x +f \right)-2 b \,e^{2} g^{2} n \,x^{2} \ln \left(-e x -d \right)-4 b d e f g \ln \left(c \right)}{4 \left(g x +f \right)^{2} \left(d g -e f \right)^{2} g}"," ",0,"-1/2*b/g/(g*x+f)^2*ln((e*x+d)^n)-1/4*(2*I*Pi*b*d*e*f*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+2*a*d^2*g^2+2*ln(c)*b*d^2*g^2+2*ln(c)*b*e^2*f^2+2*b*d*e*f*n*g+2*b*d*e*g^2*n*x-2*b*e^2*f*g*n*x+2*a*e^2*f^2-2*b*e^2*f^2*n-2*I*Pi*b*d*e*f*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-4*a*d*e*f*g+2*I*Pi*b*d*e*f*g*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*e^2*f^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+4*ln(g*x+f)*b*e^2*f*g*n*x-4*ln(-e*x-d)*b*e^2*f*g*n*x+I*Pi*b*e^2*f^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*d^2*g^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*d^2*g^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*d^2*g^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*e^2*f^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+2*ln(g*x+f)*b*e^2*f^2*n-2*ln(-e*x-d)*b*e^2*f^2*n-2*I*Pi*b*d*e*f*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*d^2*g^2*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*e^2*f^2*csgn(I*c*(e*x+d)^n)^3+2*ln(g*x+f)*b*e^2*g^2*n*x^2-2*ln(-e*x-d)*b*e^2*g^2*n*x^2-4*ln(c)*b*d*e*f*g)/(g*x+f)^2/(d*g-e*f)^2/g","C"
43,1,950,134,0.479000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)^4,x)","-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{3 \left(g x +f \right)^{3} g}+\frac{-2 b \,e^{3} f^{3} n \ln \left(e x +d \right)-2 a \,d^{3} g^{3}+6 a \,d^{2} e f \,g^{2}-6 a d \,e^{2} f^{2} g -2 b \,d^{3} g^{3} \ln \left(c \right)+2 b \,e^{3} f^{3} \ln \left(c \right)-b \,d^{2} e f \,g^{2} n +4 b d \,e^{2} f^{2} g n +2 b d \,e^{2} g^{3} n \,x^{2}-2 b \,e^{3} f \,g^{2} n \,x^{2}-b \,d^{2} e \,g^{3} n x -5 b \,e^{3} f^{2} g n x +2 a \,e^{3} f^{3}-3 b \,e^{3} f^{3} n +i \pi  b \,d^{3} g^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-i \pi  b \,e^{3} f^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-3 i \pi  b \,d^{2} e f \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+3 i \pi  b d \,e^{2} f^{2} g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+2 b \,e^{3} f^{3} n \ln \left(-g x -f \right)+2 b \,e^{3} g^{3} n \,x^{3} \ln \left(-g x -f \right)-2 b \,e^{3} g^{3} n \,x^{3} \ln \left(e x +d \right)+6 b \,d^{2} e f \,g^{2} \ln \left(c \right)-6 b d \,e^{2} f^{2} g \ln \left(c \right)+6 b d \,e^{2} f \,g^{2} n x +3 i \pi  b \,d^{2} e f \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+3 i \pi  b \,d^{2} e f \,g^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-3 i \pi  b d \,e^{2} f^{2} g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-3 i \pi  b d \,e^{2} f^{2} g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,d^{3} g^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)-3 i \pi  b \,d^{2} e f \,g^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+3 i \pi  b d \,e^{2} f^{2} g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-i \pi  b \,e^{3} f^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)-i \pi  b \,d^{3} g^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \,d^{3} g^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,e^{3} f^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,e^{3} f^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+6 b \,e^{3} f \,g^{2} n \,x^{2} \ln \left(-g x -f \right)-6 b \,e^{3} f \,g^{2} n \,x^{2} \ln \left(e x +d \right)+6 b \,e^{3} f^{2} g n x \ln \left(-g x -f \right)-6 b \,e^{3} f^{2} g n x \ln \left(e x +d \right)}{6 \left(g x +f \right)^{3} \left(d^{2} g^{2}-2 d e f g +e^{2} f^{2}\right) \left(d g -e f \right) g}"," ",0,"-1/3*b/g/(g*x+f)^3*ln((e*x+d)^n)+1/6*(-3*I*Pi*b*d^2*e*f*g^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-2*ln(e*x+d)*b*e^3*f^3*n-2*a*d^3*g^3+6*a*d^2*e*f*g^2-6*a*d*e^2*f^2*g-2*ln(c)*b*d^3*g^3+2*ln(c)*b*e^3*f^3-b*d^2*e*f*n*g^2+4*b*d*e^2*f^2*n*g+2*b*d*e^2*g^3*n*x^2-2*b*e^3*f*g^2*n*x^2-b*d^2*e*g^3*n*x-5*b*e^3*f^2*g*n*x+2*a*e^3*f^3-3*b*e^3*f^3*n+2*ln(-g*x-f)*b*e^3*f^3*n+I*Pi*b*d^3*g^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*Pi*b*e^3*f^3*csgn(I*c*(e*x+d)^n)^3+3*I*Pi*b*d*e^2*f^2*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+2*ln(-g*x-f)*b*e^3*g^3*n*x^3-2*ln(e*x+d)*b*e^3*g^3*n*x^3+6*ln(c)*b*d^2*e*f*g^2-6*ln(c)*b*d*e^2*f^2*g+6*b*d*e^2*f*g^2*n*x+3*I*Pi*b*d^2*e*f*g^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*d^3*g^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-3*I*Pi*b*d^2*e*f*g^2*csgn(I*c*(e*x+d)^n)^3+3*I*Pi*b*d*e^2*f^2*g*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*e^3*f^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*d^3*g^3*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*d^3*g^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*e^3*f^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*e^3*f^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-3*I*Pi*b*d*e^2*f^2*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+6*ln(-g*x-f)*b*e^3*f*g^2*n*x^2-6*ln(e*x+d)*b*e^3*f*g^2*n*x^2+6*ln(-g*x-f)*b*e^3*f^2*g*n*x-6*ln(e*x+d)*b*e^3*f^2*g*n*x+3*I*Pi*b*d^2*e*f*g^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-3*I*Pi*b*d*e^2*f^2*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2)/(g*x+f)^3/(d^2*g^2-2*d*e*f*g+e^2*f^2)/(d*g-e*f)/g","C"
44,1,6770,347,0.941000," ","int((g*x+f)^3*(b*ln(c*(e*x+d)^n)+a)^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
45,1,4597,275,0.790000," ","int((g*x+f)^2*(b*ln(c*(e*x+d)^n)+a)^2,x)","\text{output too large to display}"," 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*f^2*x*csgn(I*c*(e*x+d)^n)^3-I*Pi*a*b*f^2*x*csgn(I*c*(e*x+d)^n)^3-I*ln(c)*Pi*b^2*f^2*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*Pi*a*b*f^2*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/3*I*g^2*Pi*a*b*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/9*I*g^2*Pi*b^2*n*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*g*Pi^2*b^2*f*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3-g*Pi^2*b^2*f*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4+I*Pi*a*b*f^2*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*a*b*f^2*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*ln(c)*Pi*b^2*f^2*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*ln(c)*Pi*b^2*f^2*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*g*ln(c)*Pi*b^2*f*x^2*csgn(I*c*(e*x+d)^n)^3+1/3*I*g^2*ln(c)*Pi*b^2*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/9*I*g^2*Pi*b^2*n*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/9*I*g^2*Pi*b^2*n*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I*g*Pi*b^2*f*n*x^2*csgn(I*c*(e*x+d)^n)^3+1/3*I*g^2*Pi*a*b*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/3*I*g^2*Pi*a*b*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*g*Pi*a*b*f*x^2*csgn(I*c*(e*x+d)^n)^3+1/3*I*g^2*ln(c)*Pi*b^2*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b^2*f^2*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b^2*f^2*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I/e^2*g*ln(e*x+d)*Pi*b^2*d^2*f*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I/e*g*Pi*b^2*d*f*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I/e*ln(e*x+d)*Pi*b^2*d*f^2*n*csgn(I*c*(e*x+d)^n)^3+I/e*ln(e*x+d)*Pi*b^2*d*f^2*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I/e*ln(e*x+d)*Pi*b^2*d*f^2*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I/e^2*g*ln(e*x+d)*Pi*b^2*d^2*f*n*csgn(I*c*(e*x+d)^n)^3+1/3*I/e^3*g^2*ln(e*x+d)*Pi*b^2*d^3*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/3*I/e^3*g^2*ln(e*x+d)*Pi*b^2*d^3*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I*g*Pi*b^2*f*n*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*g*Pi*a*b*f*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*g*ln(c)*Pi*b^2*f*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/3*I/e^2*g^2*Pi*b^2*d^2*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/6*I/e*g^2*Pi*b^2*d*n*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I/e*g*Pi*b^2*d*f*n*x*csgn(I*c*(e*x+d)^n)^3-1/3*I/e^2*g^2*Pi*b^2*d^2*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/6*I/e*g^2*Pi*b^2*d*n*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2","C"
46,1,2616,180,0.572000," ","int((g*x+f)*(b*ln(c*(e*x+d)^n)+a)^2,x)","\text{Expression too large to display}"," ",0,"ln(c)^2*b^2*f*x+1/2*ln(c)^2*b^2*g*x^2+a^2*f*x+1/2*a^2*g*x^2-3/2/e*b^2*d*g*n^2*x-2/e*ln(e*x+d)*b^2*d*f*n^2+1/4*Pi^2*b^2*g*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5+1/4*Pi^2*b^2*g*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-1/8*Pi^2*b^2*g*x^2*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4-1/4*Pi^2*b^2*f*x*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4-1/8*Pi^2*b^2*g*x^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+1/2*Pi^2*b^2*f*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5+1/2*Pi^2*b^2*f*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-1/4*Pi^2*b^2*f*x*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4+1/2/e^2*b^2*d^2*g*n^2*ln(e*x+d)^2-1/e*b^2*d*f*n^2*ln(e*x+d)^2+3/2/e^2*ln(e*x+d)*b^2*d^2*g*n^2-I/e*ln(e*x+d)*Pi*b^2*d*f*n*csgn(I*c*(e*x+d)^n)^3-1/2*I*ln(c)*Pi*b^2*g*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/4*I*Pi*b^2*g*n*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*ln(c)*Pi*b^2*f*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I*Pi*a*b*g*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*Pi*a*b*f*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*b*(I*Pi*b*e^2*g*x^2*csgn(I*c*(e*x+d)^n)^3+2*I*Pi*b*e^2*f*x*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*e^2*g*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+2*I*Pi*b*e^2*f*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-2*I*Pi*b*e^2*f*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-2*I*Pi*b*e^2*f*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*e^2*g*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*Pi*b*e^2*g*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-2*ln(c)*b*e^2*g*x^2+b*e^2*g*n*x^2-4*ln(c)*b*e^2*f*x-2*a*e^2*g*x^2+2*b*d^2*g*n*ln(e*x+d)-4*b*d*e*f*n*ln(e*x+d)-2*b*d*e*g*n*x+4*b*e^2*f*n*x-4*a*e^2*f*x)/e^2*ln((e*x+d)^n)+1/2*b^2*x*(g*x+2*f)*ln((e*x+d)^n)^2+1/4*b^2*g*n^2*x^2+I*Pi*b^2*f*n*x*csgn(I*c*(e*x+d)^n)^3-1/2*I*ln(c)*Pi*b^2*g*x^2*csgn(I*c*(e*x+d)^n)^3+1/4*I*Pi*b^2*g*n*x^2*csgn(I*c*(e*x+d)^n)^3+I/e*ln(e*x+d)*Pi*b^2*d*f*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I/e^2*ln(e*x+d)*Pi*b^2*d^2*g*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I/e^2*ln(e*x+d)*Pi*b^2*d^2*g*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I/e*Pi*b^2*d*g*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I/e*Pi*b^2*d*g*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+2*b^2*f*n^2*x+2/e*ln(e*x+d)*a*b*d*f*n-1/e^2*ln(e*x+d)*ln(c)*b^2*d^2*g*n+2/e*ln(e*x+d)*ln(c)*b^2*d*f*n-1/2*Pi^2*b^2*g*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4+1/4*Pi^2*b^2*g*x^2*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3+1/4*Pi^2*b^2*g*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3+1/2*I/e^2*ln(e*x+d)*Pi*b^2*d^2*g*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I/e*ln(e*x+d)*Pi*b^2*d*f*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I/e*Pi*b^2*d*g*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*ln(c)*Pi*b^2*f*x*csgn(I*c*(e*x+d)^n)^3-1/2*I*Pi*a*b*g*x^2*csgn(I*c*(e*x+d)^n)^3-I*Pi*a*b*f*x*csgn(I*c*(e*x+d)^n)^3-1/8*Pi^2*b^2*g*x^2*csgn(I*c*(e*x+d)^n)^6-1/4*Pi^2*b^2*f*x*csgn(I*c*(e*x+d)^n)^6+ln(c)*a*b*g*x^2+2*ln(c)*a*b*f*x-1/2*ln(c)*b^2*g*n*x^2-2*ln(c)*b^2*f*n*x-1/2*a*b*g*n*x^2+I*Pi*a*b*f*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*ln(c)*Pi*b^2*f*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*ln(c)*Pi*b^2*f*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I*Pi*a*b*g*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b^2*f*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*Pi*a*b*g*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b^2*f*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I*ln(c)*Pi*b^2*g*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*ln(c)*Pi*b^2*g*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/4*I*Pi*b^2*g*n*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/4*I*Pi*b^2*g*n*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/e*a*b*d*g*n*x+1/e*ln(c)*b^2*d*g*n*x-1/e^2*ln(e*x+d)*a*b*d^2*g*n-1/8*Pi^2*b^2*g*x^2*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2-Pi^2*b^2*f*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4+1/2*Pi^2*b^2*f*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3+1/2*Pi^2*b^2*f*x*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3-1/4*Pi^2*b^2*f*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2-2*a*b*f*n*x+I*Pi*b^2*f*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I/e*Pi*b^2*d*g*n*x*csgn(I*c*(e*x+d)^n)^3+1/2*I/e^2*ln(e*x+d)*Pi*b^2*d^2*g*n*csgn(I*c*(e*x+d)^n)^3+I*Pi*a*b*f*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I/e*ln(e*x+d)*Pi*b^2*d*f*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2","C"
47,1,130,65,0.071000," ","int((b*ln(c*(e*x+d)^n)+a)^2,x)","-\frac{2 b^{2} d \,n^{2} \ln \left(e x +d \right)}{e}+2 b^{2} n^{2} x -2 b^{2} n x \ln \left(c \,{\mathrm e}^{n \ln \left(e x +d \right)}\right)+b^{2} x \ln \left(c \,{\mathrm e}^{n \ln \left(e x +d \right)}\right)^{2}+\frac{2 a b d n \ln \left(e x +d \right)}{e}-2 a b n x +2 a b x \ln \left(c \left(e x +d \right)^{n}\right)+\frac{b^{2} d \ln \left(c \,{\mathrm e}^{n \ln \left(e x +d \right)}\right)^{2}}{e}+a^{2} x"," ",0,"a^2*x+b^2*x*ln(c*exp(n*ln(e*x+d)))^2+b^2*d/e*ln(c*exp(n*ln(e*x+d)))^2+2*b^2*n^2*x-2*b^2*n*x*ln(c*exp(n*ln(e*x+d)))-2*n^2*b^2*d/e*ln(e*x+d)+2*a*b*x*ln(c*(e*x+d)^n)-2*a*b*n*x+2*a*b/e*n*d*ln(e*x+d)","A"
48,1,2018,111,0.472000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f),x)","\frac{a^{2} \ln \left(g x +f \right)}{g}+\frac{b^{2} \ln \left(c \right)^{2} \ln \left(g x +f \right)}{g}+\frac{b^{2} n^{2} \ln \left(-d g +e f +\left(e x +d \right) g \right) \ln \left(e x +d \right)^{2}}{g}+\frac{b^{2} \ln \left(\left(e x +d \right)^{n}\right)^{2} \ln \left(-d g +e f +\left(e x +d \right) g \right)}{g}+\frac{2 a b \ln \left(c \right) \ln \left(g x +f \right)}{g}-\frac{2 b^{2} n^{2} \polylog \left(3, \frac{\left(e x +d \right) g}{d g -e f}\right)}{g}+\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{i \pi  \,b^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{g}-\frac{i \pi  \,b^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(c \right) \ln \left(g x +f \right)}{g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(c \right) \ln \left(g x +f \right)}{g}+\frac{b^{2} n^{2} \ln \left(-\frac{\left(e x +d \right) g}{d g -e f}+1\right) \ln \left(e x +d \right)^{2}}{g}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4} \ln \left(g x +f \right)}{4 g}+\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{5} \ln \left(g x +f \right)}{2 g}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4} \ln \left(g x +f \right)}{4 g}+\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{5} \ln \left(g x +f \right)}{2 g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{g}+\frac{i \pi  a b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{g}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}+\frac{i \pi  \,b^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{g}-\frac{2 b^{2} n^{2} \ln \left(\frac{-d g +e f +\left(e x +d \right) g}{-d g +e f}\right) \ln \left(e x +d \right)^{2}}{g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(c \right) \ln \left(g x +f \right)}{g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}-\frac{i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{2 a b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{2 b^{2} \ln \left(c \right) \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{4 g}+\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g}+\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4} \ln \left(g x +f \right)}{g}+\frac{i \pi  \,b^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(c \right) \ln \left(g x +f \right)}{g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}-\frac{i \pi  a b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{g}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{6} \ln \left(g x +f \right)}{4 g}-\frac{2 a b n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g}-\frac{2 b^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(c \right)}{g}+\frac{2 b^{2} n \dilog \left(\frac{-d g +e f +\left(e x +d \right) g}{-d g +e f}\right) \ln \left(\left(e x +d \right)^{n}\right)}{g}+\frac{2 b^{2} n^{2} \polylog \left(2, \frac{\left(e x +d \right) g}{d g -e f}\right) \ln \left(e x +d \right)}{g}-\frac{2 b^{2} n^{2} \dilog \left(\frac{-d g +e f +\left(e x +d \right) g}{-d g +e f}\right) \ln \left(e x +d \right)}{g}-\frac{2 b^{2} n \ln \left(c \right) \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{2 a b n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{2 b^{2} n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(-d g +e f +\left(e x +d \right) g \right) \ln \left(e x +d \right)}{g}+\frac{2 b^{2} n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(\frac{-d g +e f +\left(e x +d \right) g}{-d g +e f}\right) \ln \left(e x +d \right)}{g}"," ",0,"-I/g*n*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*ln(g*x+f)/g*ln(c)*Pi*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+a^2*ln(g*x+f)/g+ln(g*x+f)/g*ln(c)^2*b^2-I*ln(g*x+f)/g*ln(c)*Pi*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I/g*n*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+b^2*ln(g*(e*x+d)-d*g+e*f)/g*ln(e*x+d)^2*n^2+b^2*ln(g*(e*x+d)-d*g+e*f)/g*ln((e*x+d)^n)^2+1/2*ln(g*x+f)/g*Pi^2*b^2*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3-I*ln(g*x+f)/g*ln(c)*Pi*b^2*csgn(I*c*(e*x+d)^n)^3+I/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-2*b/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*a-2/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*ln(c)+2*ln(g*x+f)/g*ln(c)*a*b-I/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*ln(g*x+f)/g*Pi*a*b*csgn(I*c*(e*x+d)^n)^3-I/g*n*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-2*b^2*n^2/g*polylog(3,g/(d*g-e*f)*(e*x+d))+I*ln(g*x+f)/g*ln((e*x+d)^n)*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*ln(g*x+f)/g*Pi*a*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*ln(g*x+f)/g*Pi*a*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I/g*n*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c*(e*x+d)^n)^3+I*ln(g*x+f)/g*ln(c)*Pi*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*ln(g*x+f)/g*ln((e*x+d)^n)*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*ln(g*x+f)/g*ln((e*x+d)^n)*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*ln(g*x+f)/g*Pi*a*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/4*ln(g*x+f)/g*Pi^2*b^2*csgn(I*c*(e*x+d)^n)^6+2*b^2*n*dilog((g*(e*x+d)-d*g+e*f)/(-d*g+e*f))/g*ln((e*x+d)^n)+b^2*n^2/g*ln(e*x+d)^2*ln(1-g/(d*g-e*f)*(e*x+d))+2*b^2*n^2/g*ln(e*x+d)*polylog(2,g/(d*g-e*f)*(e*x+d))-2*b^2*n^2*dilog((g*(e*x+d)-d*g+e*f)/(-d*g+e*f))/g*ln(e*x+d)-2*b^2*n^2*ln(e*x+d)^2*ln((g*(e*x+d)-d*g+e*f)/(-d*g+e*f))/g+1/2*ln(g*x+f)/g*Pi^2*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3+2*b*ln(g*x+f)/g*ln((e*x+d)^n)*a+2*ln(g*x+f)/g*ln((e*x+d)^n)*b^2*ln(c)+I/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c*(e*x+d)^n)^3-1/4*ln(g*x+f)/g*Pi^2*b^2*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2-ln(g*x+f)/g*Pi^2*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4-1/4*ln(g*x+f)/g*Pi^2*b^2*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4-I*ln(g*x+f)/g*ln((e*x+d)^n)*b^2*Pi*csgn(I*c*(e*x+d)^n)^3-2/g*n*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*ln(c)-2*b/g*n*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*a-1/4*ln(g*x+f)/g*Pi^2*b^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+1/2*ln(g*x+f)/g*Pi^2*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-2*b^2*ln(g*(e*x+d)-d*g+e*f)/g*ln(e*x+d)*ln((e*x+d)^n)*n+2*b^2*n*ln(e*x+d)*ln((g*(e*x+d)-d*g+e*f)/(-d*g+e*f))/g*ln((e*x+d)^n)+1/2*ln(g*x+f)/g*Pi^2*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5","C"
49,1,1092,132,0.377000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)^2,x)","-\frac{b^{2} \ln \left(\left(e x +d \right)^{n}\right)^{2}}{\left(g x +f \right) g}-\frac{2 a b \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) g}-\frac{2 b^{2} \ln \left(c \right) \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) g}-\frac{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 a \right)^{2}}{4 \left(g x +f \right) g}-\frac{i \pi  \,b^{2} e n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{\left(d g -e f \right) g}+\frac{i \pi  \,b^{2} e n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{\left(d g -e f \right) g}-\frac{i \pi  \,b^{2} e n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{\left(d g -e f \right) g}+\frac{i \pi  \,b^{2} e n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{\left(d g -e f \right) g}+\frac{2 a b e n \ln \left(g x +f \right)}{\left(d g -e f \right) g}+\frac{i \pi  \,b^{2} e n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{\left(d g -e f \right) g}-\frac{i \pi  \,b^{2} e n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{\left(d g -e f \right) g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) g}+\frac{2 b^{2} e n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{\left(d g -e f \right) g}-\frac{2 b^{2} e n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{\left(d g -e f \right) g}+\frac{i \pi  \,b^{2} e n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(e x +d \right)}{\left(d g -e f \right) g}-\frac{2 b^{2} e \,n^{2} \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{\left(d g -e f \right) g}-\frac{2 b^{2} e \,n^{2} \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{\left(d g -e f \right) g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) g}-\frac{i \pi  \,b^{2} e n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{\left(d g -e f \right) g}+\frac{b^{2} e \,n^{2} \ln \left(e x +d \right)^{2}}{\left(d g -e f \right) g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) g}-\frac{2 a b e n \ln \left(e x +d \right)}{\left(d g -e f \right) g}+\frac{2 b^{2} e n \ln \left(c \right) \ln \left(g x +f \right)}{\left(d g -e f \right) g}-\frac{2 b^{2} e n \ln \left(c \right) \ln \left(e x +d \right)}{\left(d g -e f \right) g}"," ",0,"I/g*n*e/(d*g-e*f)*ln(g*x+f)*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-b^2/(g*x+f)/g*ln((e*x+d)^n)^2-2*b/(g*x+f)/g*ln((e*x+d)^n)*a-2/(g*x+f)/g*ln((e*x+d)^n)*b^2*ln(c)-1/4*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*a)^2/(g*x+f)/g-I/g*n*e/(d*g-e*f)*ln(e*x+d)*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I/(g*x+f)/g*ln((e*x+d)^n)*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+2*b/g*n*e/(d*g-e*f)*ln(g*x+f)*a+I/g*n*e/(d*g-e*f)*ln(e*x+d)*b^2*Pi*csgn(I*c*(e*x+d)^n)^3-I/(g*x+f)/g*ln((e*x+d)^n)*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I/(g*x+f)/g*ln((e*x+d)^n)*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I/g*n*e/(d*g-e*f)*ln(e*x+d)*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I/g*n*e/(d*g-e*f)*ln(g*x+f)*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I/g*n*e/(d*g-e*f)*ln(g*x+f)*b^2*Pi*csgn(I*c*(e*x+d)^n)^3+2*b^2/g*n*e*ln((e*x+d)^n)/(d*g-e*f)*ln(g*x+f)-2*b^2/g*n*e*ln((e*x+d)^n)/(d*g-e*f)*ln(e*x+d)+I/(g*x+f)/g*ln((e*x+d)^n)*b^2*Pi*csgn(I*c*(e*x+d)^n)^3+I/g*n*e/(d*g-e*f)*ln(g*x+f)*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I/g*n*e/(d*g-e*f)*ln(e*x+d)*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-2*b^2/g*n^2*e/(d*g-e*f)*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-2*b^2/g*n^2*e/(d*g-e*f)*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+b^2/g*n^2*e/(d*g-e*f)*ln(e*x+d)^2-2*b/g*n*e/(d*g-e*f)*ln(e*x+d)*a+2/g*n*e/(d*g-e*f)*ln(g*x+f)*b^2*ln(c)-2/g*n*e/(d*g-e*f)*ln(e*x+d)*b^2*ln(c)","C"
50,1,1473,199,0.467000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)^3,x)","-\frac{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 a \right)^{2}}{8 \left(g x +f \right)^{2} g}+\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{2 \left(d g -e f \right)^{2} g}-\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 \left(d g -e f \right)^{2} g}+\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{2 \left(d g -e f \right)^{2} g}-\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 \left(d g -e f \right)^{2} g}-\frac{i \pi  \,b^{2} e n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(d g -e f \right) \left(g x +f \right) g}-\frac{i \pi  \,b^{2} e n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(d g -e f \right) \left(g x +f \right) g}-\frac{b^{2} \ln \left(\left(e x +d \right)^{n}\right)^{2}}{2 \left(g x +f \right)^{2} g}+\frac{b^{2} e^{2} n^{2} \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{\left(d g -e f \right)^{2} g}-\frac{b^{2} e^{2} n^{2} \ln \left(e x +d \right)}{\left(d g -e f \right)^{2} g}-\frac{a b \,e^{2} n \ln \left(g x +f \right)}{\left(d g -e f \right)^{2} g}+\frac{a b \,e^{2} n \ln \left(e x +d \right)}{\left(d g -e f \right)^{2} g}-\frac{b^{2} e^{2} n \ln \left(c \right) \ln \left(g x +f \right)}{\left(d g -e f \right)^{2} g}+\frac{b^{2} e^{2} n \ln \left(c \right) \ln \left(e x +d \right)}{\left(d g -e f \right)^{2} g}-\frac{b^{2} e n \ln \left(c \right)}{\left(d g -e f \right) \left(g x +f \right) g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g x +f \right)^{2} g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g x +f \right)^{2} g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g x +f \right)^{2} g}-\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{2 \left(d g -e f \right)^{2} g}+\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 \left(d g -e f \right)^{2} g}+\frac{i \pi  \,b^{2} e n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \left(d g -e f \right) \left(g x +f \right) g}+\frac{i \pi  \,b^{2} e^{2} n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 \left(d g -e f \right)^{2} g}+\frac{i \pi  \,b^{2} e n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \left(d g -e f \right) \left(g x +f \right) g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g x +f \right)^{2} g}-\frac{b^{2} e n \ln \left(\left(e x +d \right)^{n}\right)}{\left(d g -e f \right) \left(g x +f \right) g}-\frac{b^{2} e^{2} n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{\left(d g -e f \right)^{2} g}+\frac{b^{2} e^{2} n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{\left(d g -e f \right)^{2} g}-\frac{a b \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right)^{2} g}-\frac{b^{2} \ln \left(c \right) \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right)^{2} g}+\frac{b^{2} e^{2} n^{2} \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{\left(d g -e f \right)^{2} g}-\frac{i \pi  \,b^{2} e^{2} n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(e x +d \right)}{2 \left(d g -e f \right)^{2} g}-\frac{b^{2} e^{2} n^{2} \ln \left(e x +d \right)^{2}}{2 \left(d g -e f \right)^{2} g}+\frac{b^{2} e^{2} n^{2} \ln \left(g x +f \right)}{\left(d g -e f \right)^{2} g}-\frac{a b e n}{\left(d g -e f \right) \left(g x +f \right) g}"," ",0,"-1/2*I/g*n*e/(d*g-e*f)/(g*x+f)*Pi*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I/g*n*e^2/(d*g-e*f)^2*ln(g*x+f)*Pi*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/8*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*a)^2/(g*x+f)^2/g-1/2*b^2/(g*x+f)^2/g*ln((e*x+d)^n)^2+1/2*I/g*n*e^2/(d*g-e*f)^2*ln(e*x+d)*Pi*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I/(g*x+f)^2/g*ln((e*x+d)^n)*Pi*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I/g*n*e/(d*g-e*f)/(g*x+f)*Pi*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I/g*n*e^2/(d*g-e*f)^2*ln(g*x+f)*Pi*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-b^2/g*n^2*e^2/(d*g-e*f)^2*ln(e*x+d)+b^2/g*n^2*e^2/(d*g-e*f)^2*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-b/g*n*e^2/(d*g-e*f)^2*ln(g*x+f)*a+b/g*n*e^2/(d*g-e*f)^2*ln(e*x+d)*a-1/g*n*e^2/(d*g-e*f)^2*ln(g*x+f)*b^2*ln(c)+1/g*n*e^2/(d*g-e*f)^2*ln(e*x+d)*b^2*ln(c)-1/g*n*e/(d*g-e*f)/(g*x+f)*b^2*ln(c)-1/2*I/g*n*e^2/(d*g-e*f)^2*ln(e*x+d)*Pi*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I/(g*x+f)^2/g*ln((e*x+d)^n)*Pi*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-b^2/g*n*e*ln((e*x+d)^n)/(d*g-e*f)/(g*x+f)-b^2/g*n*e^2*ln((e*x+d)^n)/(d*g-e*f)^2*ln(g*x+f)+b^2/g*n*e^2*ln((e*x+d)^n)/(d*g-e*f)^2*ln(e*x+d)+1/2*I/(g*x+f)^2/g*ln((e*x+d)^n)*Pi*b^2*csgn(I*c*(e*x+d)^n)^3-b/(g*x+f)^2/g*ln((e*x+d)^n)*a-1/(g*x+f)^2/g*ln((e*x+d)^n)*b^2*ln(c)-1/2*I/g*n*e^2/(d*g-e*f)^2*ln(g*x+f)*Pi*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+b^2/g*n^2*e^2/(d*g-e*f)^2*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+1/2*I/g*n*e^2/(d*g-e*f)^2*ln(e*x+d)*Pi*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I/g*n*e/(d*g-e*f)/(g*x+f)*Pi*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I/(g*x+f)^2/g*ln((e*x+d)^n)*Pi*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I/g*n*e/(d*g-e*f)/(g*x+f)*Pi*b^2*csgn(I*c*(e*x+d)^n)^3+1/2*I/g*n*e^2/(d*g-e*f)^2*ln(g*x+f)*Pi*b^2*csgn(I*c*(e*x+d)^n)^3-1/2*I/g*n*e^2/(d*g-e*f)^2*ln(e*x+d)*Pi*b^2*csgn(I*c*(e*x+d)^n)^3-1/2*b^2/g*n^2*e^2/(d*g-e*f)^2*ln(e*x+d)^2+b^2/g*n^2*e^2/(d*g-e*f)^2*ln(g*x+f)-b/g*n*e/(d*g-e*f)/(g*x+f)*a","C"
51,1,1815,302,0.545000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)^4,x)","-\frac{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 a \right)^{2}}{12 \left(g x +f \right)^{3} g}+\frac{i \pi  \,b^{2} e^{3} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{3 \left(d g -e f \right)^{3} g}-\frac{i \pi  \,b^{2} e^{3} n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{3 \left(d g -e f \right)^{3} g}+\frac{i \pi  \,b^{2} e^{3} n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{3 \left(d g -e f \right)^{3} g}+\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{3 \left(d g -e f \right)^{2} \left(g x +f \right) g}+\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{3 \left(d g -e f \right)^{2} \left(g x +f \right) g}-\frac{i \pi  \,b^{2} e n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6 \left(d g -e f \right) \left(g x +f \right)^{2} g}-\frac{i \pi  \,b^{2} e n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6 \left(d g -e f \right) \left(g x +f \right)^{2} g}+\frac{i \pi  \,b^{2} e^{3} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{3 \left(d g -e f \right)^{3} g}-\frac{b^{2} \ln \left(\left(e x +d \right)^{n}\right)^{2}}{3 \left(g x +f \right)^{3} g}-\frac{i \pi  \,b^{2} e^{2} n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{3 \left(d g -e f \right)^{2} \left(g x +f \right) g}+\frac{i \pi  \,b^{2} e n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{6 \left(d g -e f \right) \left(g x +f \right)^{2} g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(\left(e x +d \right)^{n}\right)}{3 \left(g x +f \right)^{3} g}-\frac{b^{2} e n \ln \left(\left(e x +d \right)^{n}\right)}{3 \left(d g -e f \right) \left(g x +f \right)^{2} g}+\frac{2 b^{2} e^{3} n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{3 \left(d g -e f \right)^{3} g}+\frac{2 b^{2} e^{2} n \ln \left(\left(e x +d \right)^{n}\right)}{3 \left(d g -e f \right)^{2} \left(g x +f \right) g}-\frac{2 b^{2} e^{3} n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{3 \left(d g -e f \right)^{3} g}-\frac{2 b^{2} e^{3} n^{2} \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{3 \left(d g -e f \right)^{3} g}-\frac{b^{2} e^{2} n^{2}}{3 \left(d g -e f \right)^{2} \left(g x +f \right) g}-\frac{b^{2} e^{3} n^{2} \ln \left(g x +f \right)}{\left(d g -e f \right)^{3} g}+\frac{b^{2} e^{3} n^{2} \ln \left(e x +d \right)}{\left(d g -e f \right)^{3} g}+\frac{b^{2} e^{3} n^{2} \ln \left(e x +d \right)^{2}}{3 \left(d g -e f \right)^{3} g}+\frac{2 a b \,e^{3} n \ln \left(g x +f \right)}{3 \left(d g -e f \right)^{3} g}-\frac{2 a b \,e^{3} n \ln \left(e x +d \right)}{3 \left(d g -e f \right)^{3} g}+\frac{2 b^{2} e^{3} n \ln \left(c \right) \ln \left(g x +f \right)}{3 \left(d g -e f \right)^{3} g}-\frac{2 b^{2} e^{3} n \ln \left(c \right) \ln \left(e x +d \right)}{3 \left(d g -e f \right)^{3} g}-\frac{b^{2} e n \ln \left(c \right)}{3 \left(d g -e f \right) \left(g x +f \right)^{2} g}+\frac{2 b^{2} e^{2} n \ln \left(c \right)}{3 \left(d g -e f \right)^{2} \left(g x +f \right) g}-\frac{i \pi  \,b^{2} e^{3} n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{3 \left(d g -e f \right)^{3} g}-\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{3 \left(d g -e f \right)^{2} \left(g x +f \right) g}+\frac{i \pi  \,b^{2} e n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{6 \left(d g -e f \right) \left(g x +f \right)^{2} g}-\frac{i \pi  \,b^{2} e^{3} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{3 \left(d g -e f \right)^{3} g}+\frac{2 a b \,e^{2} n}{3 \left(d g -e f \right)^{2} \left(g x +f \right) g}-\frac{a b e n}{3 \left(d g -e f \right) \left(g x +f \right)^{2} g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{3 \left(g x +f \right)^{3} g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{3 \left(g x +f \right)^{3} g}-\frac{2 a b \ln \left(\left(e x +d \right)^{n}\right)}{3 \left(g x +f \right)^{3} g}-\frac{2 b^{2} \ln \left(c \right) \ln \left(\left(e x +d \right)^{n}\right)}{3 \left(g x +f \right)^{3} g}+\frac{i \pi  \,b^{2} e^{3} n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(e x +d \right)}{3 \left(d g -e f \right)^{3} g}-\frac{i \pi  \,b^{2} e^{3} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{3 \left(d g -e f \right)^{3} g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(\left(e x +d \right)^{n}\right)}{3 \left(g x +f \right)^{3} g}-\frac{2 b^{2} e^{3} n^{2} \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{3 \left(d g -e f \right)^{3} g}"," ",0,"-1/6*I/g*n*e/(d*g-e*f)/(g*x+f)^2*Pi*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/12*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*a)^2/(g*x+f)^3/g+1/3*I/g*n*e^3/(d*g-e*f)^3*ln(g*x+f)*Pi*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/3*b^2/(g*x+f)^3/g*ln((e*x+d)^n)^2+1/3*I/(g*x+f)^3/g*ln((e*x+d)^n)*Pi*b^2*csgn(I*c*(e*x+d)^n)^3-1/3*b^2/g*n*e*ln((e*x+d)^n)/(d*g-e*f)/(g*x+f)^2+2/3*b^2/g*n*e^3*ln((e*x+d)^n)/(d*g-e*f)^3*ln(g*x+f)+2/3*b^2/g*n*e^2*ln((e*x+d)^n)/(d*g-e*f)^2/(g*x+f)-2/3*b^2/g*n*e^3*ln((e*x+d)^n)/(d*g-e*f)^3*ln(e*x+d)-2/3*b^2/g*n^2*e^3/(d*g-e*f)^3*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-1/3*I/g*n*e^2/(d*g-e*f)^2/(g*x+f)*Pi*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/3*I/g*n*e^3/(d*g-e*f)^3*ln(e*x+d)*Pi*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/3*b^2/g*n^2*e^2/(d*g-e*f)^2/(g*x+f)-b^2/g*n^2*e^3/(d*g-e*f)^3*ln(g*x+f)+b^2/g*n^2*e^3/(d*g-e*f)^3*ln(e*x+d)+1/3*b^2/g*n^2*e^3/(d*g-e*f)^3*ln(e*x+d)^2-2/3*b^2/g*n^2*e^3/(d*g-e*f)^3*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+2/3*b/g*n*e^3/(d*g-e*f)^3*ln(g*x+f)*a-2/3*b/g*n*e^3/(d*g-e*f)^3*ln(e*x+d)*a+2/3/g*n*e^3/(d*g-e*f)^3*ln(g*x+f)*b^2*ln(c)-2/3/g*n*e^3/(d*g-e*f)^3*ln(e*x+d)*b^2*ln(c)-1/3/g*n*e/(d*g-e*f)/(g*x+f)^2*b^2*ln(c)+2/3/g*n*e^2/(d*g-e*f)^2/(g*x+f)*b^2*ln(c)-1/3*I/g*n*e^3/(d*g-e*f)^3*ln(g*x+f)*Pi*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/6*I/g*n*e/(d*g-e*f)/(g*x+f)^2*Pi*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/3*I/g*n*e^2/(d*g-e*f)^2/(g*x+f)*Pi*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/3*I/g*n*e^3/(d*g-e*f)^3*ln(e*x+d)*Pi*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/3*I/g*n*e^3/(d*g-e*f)^3*ln(e*x+d)*Pi*b^2*csgn(I*c*(e*x+d)^n)^3+1/3*I/(g*x+f)^3/g*ln((e*x+d)^n)*Pi*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+2/3*b/g*n*e^2/(d*g-e*f)^2/(g*x+f)*a-1/3*b/g*n*e/(d*g-e*f)/(g*x+f)^2*a-1/3*I/(g*x+f)^3/g*ln((e*x+d)^n)*Pi*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/3*I/(g*x+f)^3/g*ln((e*x+d)^n)*Pi*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-2/3*b/(g*x+f)^3/g*ln((e*x+d)^n)*a-2/3/(g*x+f)^3/g*ln((e*x+d)^n)*b^2*ln(c)-1/3*I/g*n*e^2/(d*g-e*f)^2/(g*x+f)*Pi*b^2*csgn(I*c*(e*x+d)^n)^3+1/6*I/g*n*e/(d*g-e*f)/(g*x+f)^2*Pi*b^2*csgn(I*c*(e*x+d)^n)^3-1/3*I/g*n*e^3/(d*g-e*f)^3*ln(g*x+f)*Pi*b^2*csgn(I*c*(e*x+d)^n)^3-1/3*I/g*n*e^3/(d*g-e*f)^3*ln(e*x+d)*Pi*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/3*I/g*n*e^2/(d*g-e*f)^2/(g*x+f)*Pi*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/6*I/g*n*e/(d*g-e*f)/(g*x+f)^2*Pi*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/3*I/g*n*e^3/(d*g-e*f)^3*ln(g*x+f)*Pi*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2","C"
52,1,30495,578,2.994000," ","int((g*x+f)^3*(b*ln(c*(e*x+d)^n)+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
53,1,20417,418,2.293000," ","int((g*x+f)^2*(b*ln(c*(e*x+d)^n)+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
54,1,11547,257,1.361000," ","int((g*x+f)*(b*ln(c*(e*x+d)^n)+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
55,1,4872,99,0.178000," ","int((b*ln(c*(e*x+d)^n)+a)^3,x)","\text{output too large to display}"," ",0,"x*b^3*ln((e*x+d)^n)^3+3/4*b*(4*I*Pi*ln(e*x+d)*b^2*d*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+4*I*Pi*a*b*e*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+4*I*Pi*a*b*e*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-4*I*Pi*b^2*e*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-4*I*Pi*b^2*e*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+4*I*ln(c)*Pi*b^2*e*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+4*I*ln(c)*Pi*b^2*e*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+4*I*Pi*ln(e*x+d)*b^2*d*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-4*I*ln(c)*Pi*b^2*e*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+8*ln(e*x+d)*a*b*d*n+2*Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3-4*I*Pi*a*b*e*x*csgn(I*c*(e*x+d)^n)^3-4*I*Pi*ln(e*x+d)*b^2*d*n*csgn(I*c*(e*x+d)^n)^3+4*I*Pi*b^2*e*n*x*csgn(I*c*(e*x+d)^n)^3-4*I*ln(c)*Pi*b^2*e*x*csgn(I*c*(e*x+d)^n)^3-4*b^2*d*n^2*ln(e*x+d)^2+4*b^2*e*x*ln(c)^2-Pi^2*b^2*e*x*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+2*Pi^2*b^2*e*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4+2*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5-4*I*Pi*ln(e*x+d)*b^2*d*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+2*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3-Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2+4*I*Pi*b^2*e*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-4*I*Pi*a*b*e*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-4*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4-Pi^2*b^2*e*x*csgn(I*c*(e*x+d)^n)^6-8*ln(e*x+d)*b^2*d*n^2+4*a^2*e*x+8*ln(c)*ln(e*x+d)*b^2*d*n+8*b^2*e*n^2*x-8*b^2*e*n*x*ln(c)+8*a*b*e*x*ln(c)-8*a*b*e*n*x)/e*ln((e*x+d)^n)+3/2*b^2*(-I*Pi*b*e*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*e*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*e*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*e*x*csgn(I*c*(e*x+d)^n)^3+2*b*e*x*ln(c)+2*b*d*n*ln(e*x+d)-2*b*e*n*x+2*a*e*x)/e*ln((e*x+d)^n)^2+a^3*x+ln(c)^3*b^3*x-6*b^3*n^3*x-3*ln(c)^2*b^3*n*x+6*ln(c)*b^3*n^2*x+3*ln(c)^2*a*b^2*x+3*ln(c)*a^2*b*x+6*a*b^2*n^2*x-3*I/e*ln(c)*Pi*ln(e*x+d)*b^3*d*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-3*I/e*Pi*ln(e*x+d)*a*b^2*d*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-3/4*ln(c)*Pi^2*b^3*x*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4+3/2*ln(c)*Pi^2*b^3*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5-3/4*ln(c)*Pi^2*b^3*x*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+3/2*ln(c)*Pi^2*b^3*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5+3/4*Pi^2*b^3*n*x*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4-3/2*Pi^2*b^3*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5+3/4*Pi^2*b^3*n*x*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4-3/2*Pi^2*b^3*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-3/4*Pi^2*a*b^2*x*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4+3/2*Pi^2*a*b^2*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5-3/4*Pi^2*a*b^2*x*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+3/2*Pi^2*a*b^2*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-1/8*I*Pi^3*b^3*x*csgn(I*c)^3*csgn(I*c*(e*x+d)^n)^6+3/8*I*Pi^3*b^3*x*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^7-3/8*I*Pi^3*b^3*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^8-1/8*I*Pi^3*b^3*x*csgn(I*(e*x+d)^n)^3*csgn(I*c*(e*x+d)^n)^6+3/8*I*Pi^3*b^3*x*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^7-3/8*I*Pi^3*b^3*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^8-3/2*I*ln(c)^2*Pi*b^3*x*csgn(I*c*(e*x+d)^n)^3-3/e*ln(c)*b^3*d*n^2*ln(e*x+d)^2+3/e*ln(c)^2*ln(e*x+d)*b^3*d*n-6/e*ln(c)*b^3*d*n^2*ln(e*x+d)-3/e*a*b^2*d*n^2*ln(e*x+d)^2-6/e*ln(e*x+d)*a*b^2*d*n^2+3/e*ln(e*x+d)*a^2*b*d*n-3*a^2*b*n*x-3/4*ln(c)*Pi^2*b^3*x*csgn(I*c*(e*x+d)^n)^6+3/4*Pi^2*b^3*n*x*csgn(I*c*(e*x+d)^n)^6-3/4*Pi^2*a*b^2*x*csgn(I*c*(e*x+d)^n)^6-6*ln(c)*a*b^2*n*x+1/e*b^3*d*n^3*ln(e*x+d)^3+3/e*b^3*d*n^3*ln(e*x+d)^2+6/e*ln(e*x+d)*b^3*d*n^3+1/8*I*Pi^3*b^3*x*csgn(I*c*(e*x+d)^n)^9-3*I*Pi*b^3*n^2*x*csgn(I*c*(e*x+d)^n)^3-3/2*I*Pi*a^2*b*x*csgn(I*c*(e*x+d)^n)^3+6/e*ln(c)*ln(e*x+d)*a*b^2*d*n+1/8*I*Pi^3*b^3*x*csgn(I*c)^3*csgn(I*(e*x+d)^n)^3*csgn(I*c*(e*x+d)^n)^3-3/8*I*Pi^3*b^3*x*csgn(I*c)^3*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+3/8*I*Pi^3*b^3*x*csgn(I*c)^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-3/8*I*Pi^3*b^3*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)^3*csgn(I*c*(e*x+d)^n)^4+9/8*I*Pi^3*b^3*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^5-9/8*I*Pi^3*b^3*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^6+3/8*I*Pi^3*b^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)^3*csgn(I*c*(e*x+d)^n)^5-9/8*I*Pi^3*b^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^6+9/8*I*Pi^3*b^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^7+3/2*I*ln(c)^2*Pi*b^3*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+3/2*I*ln(c)^2*Pi*b^3*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+3*I*ln(c)*Pi*b^3*n*x*csgn(I*c*(e*x+d)^n)^3+3*I*Pi*b^3*n^2*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+3*I*Pi*b^3*n^2*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-3*I*ln(c)*Pi*a*b^2*x*csgn(I*c*(e*x+d)^n)^3+3*I*Pi*a*b^2*n*x*csgn(I*c*(e*x+d)^n)^3+3/2*I*Pi*a^2*b*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+3/2*I*Pi*a^2*b*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+3/2/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3-3/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4-3*I/e*Pi*ln(e*x+d)*a*b^2*d*n*csgn(I*c*(e*x+d)^n)^3+3*I*ln(c)*Pi*b^3*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-3*I*ln(c)*Pi*a*b^2*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+3*I*Pi*a*b^2*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-3/2*I/e*Pi*b^3*d*n^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*ln(e*x+d)^2-3/2*I/e*Pi*b^3*d*n^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*ln(e*x+d)^2+3/2*I/e*Pi*b^3*d*n^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*ln(e*x+d)^2+3*I/e*ln(c)*Pi*ln(e*x+d)*b^3*d*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+3*I/e*ln(c)*Pi*ln(e*x+d)*b^3*d*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+3*I/e*Pi*b^3*d*n^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*ln(e*x+d)+3*I/e*Pi*ln(e*x+d)*a*b^2*d*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+3*I/e*Pi*ln(e*x+d)*a*b^2*d*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-3*I/e*ln(c)*Pi*ln(e*x+d)*b^3*d*n*csgn(I*c*(e*x+d)^n)^3-3*I/e*Pi*b^3*d*n^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*ln(e*x+d)-3*I/e*Pi*b^3*d*n^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*ln(e*x+d)-3/4/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4-3/4*ln(c)*Pi^2*b^3*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2+3/2*ln(c)*Pi^2*b^3*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3-3/4/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c*(e*x+d)^n)^6+3/2*ln(c)*Pi^2*b^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3-3*ln(c)*Pi^2*b^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4+3/4*Pi^2*b^3*n*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2-3/2*Pi^2*b^3*n*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3-3/2*Pi^2*b^3*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3+3*Pi^2*b^3*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4-3/4*Pi^2*a*b^2*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2+3/2*Pi^2*a*b^2*x*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3+3/2*Pi^2*a*b^2*x*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3-3*Pi^2*a*b^2*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4+3/2/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5-3/4/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+3/2/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5+3*I*ln(c)*Pi*a*b^2*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+3*I*ln(c)*Pi*a*b^2*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-3*I*Pi*a*b^2*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-3*I*Pi*a*b^2*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-3/2*I*Pi*a^2*b*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-3/2*I*ln(c)^2*Pi*b^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-3*I*ln(c)*Pi*b^3*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-3*I*ln(c)*Pi*b^3*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-3*I*Pi*b^3*n^2*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+3/2*I/e*Pi*b^3*d*n^2*csgn(I*c*(e*x+d)^n)^3*ln(e*x+d)^2+3*I/e*Pi*b^3*d*n^2*csgn(I*c*(e*x+d)^n)^3*ln(e*x+d)-3/4/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2+3/2/e*Pi^2*ln(e*x+d)*b^3*d*n*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3","C"
56,1,9538,158,0.777000," ","int((b*ln(c*(e*x+d)^n)+a)^3/(g*x+f),x)","\text{output too large to display}"," ",0,"result too large to display","C"
57,1,5626,190,0.864000," ","int((b*ln(c*(e*x+d)^n)+a)^3/(g*x+f)^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
58,0,0,334,2.132000," ","int((b*ln(c*(e*x+d)^n)+a)^3/(g*x+f)^3,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3}}{\left(g x +f \right)^{3}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^3/(g*x+f)^3,x)","F"
59,0,0,557,2.804000," ","int((b*ln(c*(e*x+d)^n)+a)^3/(g*x+f)^4,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3}}{\left(g x +f \right)^{4}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^3/(g*x+f)^4,x)","F"
60,1,37938,332,3.402000," ","int((g*x+f)*(b*ln(c*(e*x+d)^n)+a)^4,x)","\text{output too large to display}"," ",0,"result too large to display","C"
61,1,15871,131,0.418000," ","int((b*ln(c*(e*x+d)^n)+a)^4,x)","\text{output too large to display}"," ",0,"result too large to display","C"
62,1,33189,205,1.090000," ","int((b*ln(c*(e*x+d)^n)+a)^4/(g*x+f),x)","\text{output too large to display}"," ",0,"result too large to display","C"
63,1,21740,248,1.474000," ","int((b*ln(c*(e*x+d)^n)+a)^4/(g*x+f)^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
64,1,30,19,0.036000," ","int(ln(b*x+a),x)","x \ln \left(b x +a \right)+\frac{a \ln \left(b x +a \right)}{b}-x -\frac{a}{b}"," ",0,"ln(b*x+a)*x+1/b*ln(b*x+a)*a-x-a/b","A"
65,1,55,37,0.042000," ","int(ln(b*x+a)^2,x)","x \ln \left(b x +a \right)^{2}+\frac{a \ln \left(b x +a \right)^{2}}{b}-2 x \ln \left(b x +a \right)-\frac{2 a \ln \left(b x +a \right)}{b}+2 x +\frac{2 a}{b}"," ",0,"ln(b*x+a)^2*x+1/b*ln(b*x+a)^2*a-2*x*ln(b*x+a)-2*a/b*ln(b*x+a)+2*x+2*a/b","A"
66,1,80,55,0.042000," ","int(ln(b*x+a)^3,x)","x \ln \left(b x +a \right)^{3}+\frac{a \ln \left(b x +a \right)^{3}}{b}-3 x \ln \left(b x +a \right)^{2}-\frac{3 a \ln \left(b x +a \right)^{2}}{b}+6 x \ln \left(b x +a \right)+\frac{6 a \ln \left(b x +a \right)}{b}-6 x -\frac{6 a}{b}"," ",0,"ln(b*x+a)^3*x+1/b*ln(b*x+a)^3*a-3*x*ln(b*x+a)^2-3*a/b*ln(b*x+a)^2+6*x*ln(b*x+a)+6*a/b*ln(b*x+a)-6*x-6*a/b","A"
67,1,75,25,0.037000," ","int(ln(b*x+c*x+a),x)","\frac{b x \ln \left(a +\left(b +c \right) x \right)}{b +c}+\frac{c x \ln \left(a +\left(b +c \right) x \right)}{b +c}+\frac{a \ln \left(a +\left(b +c \right) x \right)}{b +c}-\frac{b x}{b +c}-\frac{c x}{b +c}-\frac{a}{b +c}"," ",0,"1/(b+c)*ln(a+(b+c)*x)*x*b+1/(b+c)*ln(a+(b+c)*x)*x*c+1/(b+c)*ln(a+(b+c)*x)*a-1/(b+c)*b*x-1/(b+c)*x*c-1/(b+c)*a","B"
68,1,131,49,0.042000," ","int(ln(b*x+c*x+a)^2,x)","\frac{b x \ln \left(a +\left(b +c \right) x \right)^{2}}{b +c}+\frac{c x \ln \left(a +\left(b +c \right) x \right)^{2}}{b +c}+\frac{a \ln \left(a +\left(b +c \right) x \right)^{2}}{b +c}-\frac{2 b x \ln \left(a +\left(b +c \right) x \right)}{b +c}-\frac{2 c x \ln \left(a +\left(b +c \right) x \right)}{b +c}-\frac{2 a \ln \left(a +\left(b +c \right) x \right)}{b +c}+\frac{2 b x}{b +c}+\frac{2 c x}{b +c}+\frac{2 a}{b +c}"," ",0,"1/(b+c)*ln(a+(b+c)*x)^2*x*b+1/(b+c)*ln(a+(b+c)*x)^2*x*c+1/(b+c)*ln(a+(b+c)*x)^2*a-2/(b+c)*b*x*ln(a+(b+c)*x)-2/(b+c)*c*x*ln(a+(b+c)*x)-2/(b+c)*a*ln(a+(b+c)*x)+2/(b+c)*b*x+2/(b+c)*c*x+2/(b+c)*a","B"
69,1,187,73,0.043000," ","int(ln(b*x+c*x+a)^3,x)","\frac{b x \ln \left(a +\left(b +c \right) x \right)^{3}}{b +c}+\frac{c x \ln \left(a +\left(b +c \right) x \right)^{3}}{b +c}+\frac{a \ln \left(a +\left(b +c \right) x \right)^{3}}{b +c}-\frac{3 b x \ln \left(a +\left(b +c \right) x \right)^{2}}{b +c}-\frac{3 c x \ln \left(a +\left(b +c \right) x \right)^{2}}{b +c}-\frac{3 a \ln \left(a +\left(b +c \right) x \right)^{2}}{b +c}+\frac{6 b x \ln \left(a +\left(b +c \right) x \right)}{b +c}+\frac{6 c x \ln \left(a +\left(b +c \right) x \right)}{b +c}+\frac{6 a \ln \left(a +\left(b +c \right) x \right)}{b +c}-\frac{6 b x}{b +c}-\frac{6 c x}{b +c}-\frac{6 a}{b +c}"," ",0,"1/(b+c)*ln(a+(b+c)*x)^3*x*b+1/(b+c)*ln(a+(b+c)*x)^3*x*c+1/(b+c)*ln(a+(b+c)*x)^3*a-3/(b+c)*b*x*ln(a+(b+c)*x)^2-3/(b+c)*c*x*ln(a+(b+c)*x)^2-3/(b+c)*a*ln(a+(b+c)*x)^2+6/(b+c)*b*x*ln(a+(b+c)*x)+6/(b+c)*c*x*ln(a+(b+c)*x)+6/(b+c)*a*ln(a+(b+c)*x)-6/(b+c)*b*x-6/(b+c)*c*x-6/(b+c)*a","B"
70,1,30,24,0.045000," ","int(ln(c*(e*x+d)^n),x)","\frac{d n \ln \left(e x +d \right)}{e}-n x +x \ln \left(c \left(e x +d \right)^{n}\right)"," ",0,"x*ln(c*(e*x+d)^n)-n*x+1/e*n*d*ln(e*x+d)","A"
71,1,35,24,0.043000," ","int(ln(-g*(e*x+d)/(-d*g+e*f))/(g*x+f),x)","-\frac{\dilog \left(\frac{e g x}{d g -e f}+\frac{d g}{d g -e f}\right)}{g}"," ",0,"-1/g*dilog(e*g/(d*g-e*f)*x+d*g/(d*g-e*f))","A"
72,1,19,15,0.045000," ","int((a+b*ln(c*(1/c+e*x)))/x,x)","a \ln \left(c e x \right)-b \dilog \left(c e x +1\right)"," ",0,"a*ln(c*e*x)-b*dilog(c*e*x+1)","A"
73,1,33,14,0.045000," ","int(ln(e*x+3)/x,x)","-\dilog \left(\frac{e x}{3}+1\right)+\left(-\ln \left(\frac{e x}{3}+1\right)+\ln \left(e x +3\right)\right) \ln \left(-\frac{e x}{3}\right)"," ",0,"(ln(e*x+3)-ln(1/3*e*x+1))*ln(-1/3*e*x)-dilog(1/3*e*x+1)","B"
74,1,33,14,0.043000," ","int(ln(e*x+2)/x,x)","-\dilog \left(\frac{e x}{2}+1\right)+\left(-\ln \left(\frac{e x}{2}+1\right)+\ln \left(e x +2\right)\right) \ln \left(-\frac{e x}{2}\right)"," ",0,"(ln(e*x+2)-ln(1/2*e*x+1))*ln(-1/2*e*x)-dilog(1/2*e*x+1)","B"
75,1,9,8,0.042000," ","int(ln(e*x+1)/x,x)","-\dilog \left(e x +1\right)"," ",0,"-dilog(e*x+1)","A"
76,1,9,8,0.036000," ","int(ln(e*x)/x,x)","\frac{\ln \left(e x \right)^{2}}{2}"," ",0,"1/2*ln(e*x)^2","A"
77,1,17,20,0.044000," ","int(ln(e*x-1)/x,x)","\ln \left(e x \right) \ln \left(e x -1\right)+\dilog \left(e x \right)"," ",0,"dilog(e*x)+ln(e*x)*ln(e*x-1)","A"
78,1,19,21,0.043000," ","int(ln(e*x-2)/x,x)","\ln \left(\frac{e x}{2}\right) \ln \left(e x -2\right)+\dilog \left(\frac{e x}{2}\right)"," ",0,"dilog(1/2*e*x)+ln(1/2*e*x)*ln(e*x-2)","A"
79,1,46,19,0.045000," ","int((a+b*ln(e*x+3))/x,x)","-b \ln \left(-\frac{e x}{3}\right) \ln \left(\frac{e x}{3}+1\right)+b \ln \left(-\frac{e x}{3}\right) \ln \left(e x +3\right)+a \ln \left(e x \right)-b \dilog \left(\frac{e x}{3}+1\right)"," ",0,"a*ln(e*x)+ln(e*x+3)*ln(-1/3*e*x)*b-ln(1/3*e*x+1)*ln(-1/3*e*x)*b-dilog(1/3*e*x+1)*b","B"
80,1,46,19,0.045000," ","int((a+b*ln(e*x+2))/x,x)","-b \ln \left(-\frac{e x}{2}\right) \ln \left(\frac{e x}{2}+1\right)+b \ln \left(-\frac{e x}{2}\right) \ln \left(e x +2\right)+a \ln \left(e x \right)-b \dilog \left(\frac{e x}{2}+1\right)"," ",0,"a*ln(e*x)+ln(e*x+2)*ln(-1/2*e*x)*b-ln(1/2*e*x+1)*ln(-1/2*e*x)*b-dilog(1/2*e*x+1)*b","B"
81,1,17,14,0.045000," ","int((a+b*ln(e*x+1))/x,x)","a \ln \left(e x \right)-b \dilog \left(e x +1\right)"," ",0,"a*ln(e*x)-b*dilog(e*x+1)","A"
82,1,17,15,0.036000," ","int((a+b*ln(e*x))/x,x)","\frac{b \ln \left(e x \right)^{2}}{2}+a \ln \left(e x \right)"," ",0,"1/2*b*ln(e*x)^2+a*ln(e*x)","A"
83,1,26,26,0.045000," ","int((a+b*ln(e*x-1))/x,x)","b \ln \left(e x \right) \ln \left(e x -1\right)+a \ln \left(e x \right)+b \dilog \left(e x \right)"," ",0,"a*ln(e*x)+ln(e*x)*ln(e*x-1)*b+dilog(e*x)*b","A"
84,1,28,27,0.045000," ","int((a+b*ln(e*x-2))/x,x)","b \ln \left(\frac{e x}{2}\right) \ln \left(e x -2\right)+a \ln \left(e x \right)+b \dilog \left(\frac{e x}{2}\right)"," ",0,"a*ln(e*x)+ln(e*x-2)*ln(1/2*e*x)*b+dilog(1/2*e*x)*b","A"
85,1,1300,175,0.459000," ","int(x^2*ln(c*(b*x+a)^n)^2,x)","-\frac{5 a \,n^{2} x^{2}}{18 b}+\frac{i \pi  n \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)}{9}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right) \ln \left(c \right)}{3}-\frac{i \pi  a n \,x^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3}}{6 b}-\frac{i \pi  \,a^{3} n \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3} \ln \left(b x +a \right)}{3 b^{3}}-\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{6}}{12}+\frac{\left(-3 i \pi  \,b^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)+3 i \pi  \,b^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}+3 i \pi  \,b^{3} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}-3 i \pi  \,b^{3} x^{3} \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3}-2 b^{3} n \,x^{3}+6 b^{3} x^{3} \ln \left(c \right)+3 a \,b^{2} n \,x^{2}+6 a^{3} n \ln \left(b x +a \right)-6 a^{2} b n x \right) \ln \left(\left(b x +a \right)^{n}\right)}{9 b^{3}}-\frac{11 a^{3} n^{2} \ln \left(b x +a \right)}{9 b^{3}}+\frac{2 n^{2} x^{3}}{27}-\frac{2 n \,x^{3} \ln \left(c \right)}{9}-\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{4}}{12}+\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{5}}{6}-\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{4}}{12}+\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{5}}{6}+\frac{x^{3} \ln \left(\left(b x +a \right)^{n}\right)^{2}}{3}-\frac{i \pi  a n \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)}{6 b}+\frac{x^{3} \ln \left(c \right)^{2}}{3}+\frac{11 a^{2} n^{2} x}{9 b^{2}}-\frac{i \pi  \,a^{3} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right) \ln \left(b x +a \right)}{3 b^{3}}+\frac{i \pi  \,a^{2} n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)}{3 b^{2}}-\frac{i \pi  n \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{9}-\frac{i \pi  n \,x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{9}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(c \right)}{3}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(c \right)}{3}+\frac{i \pi  \,a^{2} n x \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3}}{3 b^{2}}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3} \ln \left(c \right)}{3}-\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{12}+\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3}}{6}+\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3}}{6}-\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{4}}{3}+\frac{i \pi  n \,x^{3} \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3}}{9}+\frac{a n \,x^{2} \ln \left(c \right)}{3 b}+\frac{2 a^{3} n \ln \left(c \right) \ln \left(b x +a \right)}{3 b^{3}}-\frac{2 a^{2} n x \ln \left(c \right)}{3 b^{2}}+\frac{i \pi  a n \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{6 b}+\frac{i \pi  a n \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{6 b}+\frac{i \pi  \,a^{3} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(b x +a \right)}{3 b^{3}}+\frac{i \pi  \,a^{3} n \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(b x +a \right)}{3 b^{3}}-\frac{i \pi  \,a^{2} n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{3 b^{2}}-\frac{i \pi  \,a^{2} n x \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{3 b^{2}}-\frac{a^{3} n^{2} \ln \left(b x +a \right)^{2}}{3 b^{3}}"," ",0,"-5/18/b*a*n^2*x^2-1/12*Pi^2*x^3*csgn(I*(b*x+a)^n)^2*csgn(I*c*(b*x+a)^n)^4+1/6*Pi^2*x^3*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^5+1/6*Pi^2*x^3*csgn(I*c*(b*x+a)^n)^5*csgn(I*c)-1/12*Pi^2*x^3*csgn(I*c*(b*x+a)^n)^4*csgn(I*c)^2-11/9*a^3*n^2/b^3*ln(b*x+a)+2/27*n^2*x^3-1/12*Pi^2*x^3*csgn(I*c*(b*x+a)^n)^6-2/9*n*ln(c)*x^3+1/9*(3*I*Pi*b^3*x^3*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2-3*I*Pi*b^3*x^3*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)-3*I*Pi*b^3*x^3*csgn(I*c*(b*x+a)^n)^3+3*I*Pi*b^3*x^3*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)+6*ln(c)*b^3*x^3-2*b^3*n*x^3+3*a*b^2*n*x^2+6*a^3*n*ln(b*x+a)-6*b*a^2*n*x)/b^3*ln((b*x+a)^n)+1/3*x^3*ln((b*x+a)^n)^2+1/3*ln(c)^2*x^3-1/6*I/b*Pi*a*n*x^2*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)-1/3*I/b^3*Pi*ln(b*x+a)*a^3*n*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)+1/3*I/b^2*Pi*a^2*n*x*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)+11/9*a^2*n^2*x/b^2+1/3*I*ln(c)*Pi*x^3*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2-1/6*I/b*Pi*a*n*x^2*csgn(I*c*(b*x+a)^n)^3-1/3*I/b^3*Pi*ln(b*x+a)*a^3*n*csgn(I*c*(b*x+a)^n)^3+1/3*I/b^2*Pi*a^2*n*x*csgn(I*c*(b*x+a)^n)^3-1/3*I*ln(c)*Pi*x^3*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)+1/9*I*n*Pi*x^3*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)+1/6*I/b*Pi*a*n*x^2*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2+1/6*I/b*Pi*a*n*x^2*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)+1/3*I/b^3*Pi*ln(b*x+a)*a^3*n*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2-1/3*I/b^2*Pi*a^2*n*x*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2+1/3*I/b^3*Pi*ln(b*x+a)*a^3*n*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)-1/3*I/b^2*Pi*a^2*n*x*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)+1/6*Pi^2*x^3*csgn(I*(b*x+a)^n)^2*csgn(I*c*(b*x+a)^n)^3*csgn(I*c)-1/12*Pi^2*x^3*csgn(I*(b*x+a)^n)^2*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)^2-1/3*Pi^2*x^3*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^4*csgn(I*c)+1/6*Pi^2*x^3*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^3*csgn(I*c)^2+1/3/b*ln(c)*a*n*x^2+2/3/b^3*ln(c)*ln(b*x+a)*a^3*n-2/3/b^2*ln(c)*a^2*n*x-1/3*I*ln(c)*Pi*x^3*csgn(I*c*(b*x+a)^n)^3+1/9*I*n*Pi*x^3*csgn(I*c*(b*x+a)^n)^3-1/9*I*n*Pi*x^3*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2+1/3*I*ln(c)*Pi*x^3*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)-1/9*I*n*Pi*x^3*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)-1/3*a^3*n^2*ln(b*x+a)^2/b^3","C"
86,1,1102,163,0.396000," ","int(ln(c*(b*x+a)^n)^2/x^4,x)","-\frac{\left(-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3}+2 \ln \left(c \right)\right)^{2}}{12 x^{3}}-\frac{\ln \left(\left(b x +a \right)^{n}\right)^{2}}{3 x^{3}}-\frac{2 \ln \left(c \right) \ln \left(\left(b x +a \right)^{n}\right)}{3 x^{3}}-\frac{2 b^{3} n^{2} \dilog \left(\frac{b x +a}{a}\right)}{3 a^{3}}+\frac{b^{3} n^{2} \ln \left(b x +a \right)^{2}}{3 a^{3}}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{3 a^{2} x}-\frac{i \pi  b n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{6 a \,x^{2}}-\frac{i \pi  b n \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{6 a \,x^{2}}+\frac{i \pi  \,b^{3} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(x \right)}{3 a^{3}}-\frac{i \pi  \,b^{3} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(b x +a \right)}{3 a^{3}}+\frac{i \pi  \,b^{3} n \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(x \right)}{3 a^{3}}-\frac{i \pi  \,b^{3} n \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(b x +a \right)}{3 a^{3}}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{3 a^{2} x}+\frac{2 b^{2} n \ln \left(\left(b x +a \right)^{n}\right)}{3 a^{2} x}-\frac{2 b^{3} n \ln \left(\left(b x +a \right)^{n}\right) \ln \left(b x +a \right)}{3 a^{3}}-\frac{b n \ln \left(\left(b x +a \right)^{n}\right)}{3 a \,x^{2}}+\frac{2 b^{3} n \ln \left(x \right) \ln \left(\left(b x +a \right)^{n}\right)}{3 a^{3}}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)}{3 a^{2} x}+\frac{i \pi  b n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)}{6 a \,x^{2}}-\frac{b^{2} n^{2}}{3 a^{2} x}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3} \ln \left(\left(b x +a \right)^{n}\right)}{3 x^{3}}+\frac{2 b^{2} n \ln \left(c \right)}{3 a^{2} x}+\frac{2 b^{3} n \ln \left(c \right) \ln \left(x \right)}{3 a^{3}}-\frac{2 b^{3} n \ln \left(c \right) \ln \left(b x +a \right)}{3 a^{3}}-\frac{b n \ln \left(c \right)}{3 a \,x^{2}}-\frac{2 b^{3} n^{2} \ln \left(x \right) \ln \left(\frac{b x +a}{a}\right)}{3 a^{3}}-\frac{i \pi  \,b^{3} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right) \ln \left(x \right)}{3 a^{3}}+\frac{i \pi  \,b^{3} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right) \ln \left(b x +a \right)}{3 a^{3}}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(\left(b x +a \right)^{n}\right)}{3 x^{3}}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(\left(b x +a \right)^{n}\right)}{3 x^{3}}-\frac{i \pi  \,b^{3} n \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3} \ln \left(x \right)}{3 a^{3}}+\frac{i \pi  \,b^{3} n \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3} \ln \left(b x +a \right)}{3 a^{3}}-\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3}}{3 a^{2} x}+\frac{i \pi  b n \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3}}{6 a \,x^{2}}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right) \ln \left(\left(b x +a \right)^{n}\right)}{3 x^{3}}-\frac{b^{3} n^{2} \ln \left(x \right)}{a^{3}}+\frac{b^{3} n^{2} \ln \left(b x +a \right)}{a^{3}}"," ",0,"-1/3/x^3*ln((b*x+a)^n)^2-1/12*(I*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2-I*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)-I*Pi*csgn(I*c*(b*x+a)^n)^3+I*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)+2*ln(c))^2/x^3-2/3/x^3*ln((b*x+a)^n)*ln(c)-1/3*I/x^3*ln((b*x+a)^n)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2+1/3*I*b^2*n/a^2/x*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2-2/3*b^3*n^2/a^3*dilog(1/a*(b*x+a))+1/3*b^3*n^2/a^3*ln(b*x+a)^2-1/3*I/x^3*ln((b*x+a)^n)*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)-1/3*I*b^3*n/a^3*ln(b*x+a)*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)+1/3*I*b^2*n/a^2/x*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)-1/6*I*b*n/a/x^2*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)-1/3*I*b^3*n/a^3*ln(b*x+a)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2-1/6*I*b*n/a/x^2*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2-1/3*I*b^3*n/a^3*ln(x)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)+1/3*I*b^3*n/a^3*ln(b*x+a)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)+1/3*I*b^3*n/a^3*ln(x)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2+1/3*I*b^3*n/a^3*ln(x)*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)+2/3*b^2*n*ln((b*x+a)^n)/a^2/x-2/3*b^3*n*ln((b*x+a)^n)/a^3*ln(b*x+a)+1/3*I/x^3*ln((b*x+a)^n)*Pi*csgn(I*c*(b*x+a)^n)^3-1/3*b*n*ln((b*x+a)^n)/a/x^2+2/3*b^3*n*ln((b*x+a)^n)/a^3*ln(x)+1/6*I*b*n/a/x^2*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)-1/3*I*b^2*n/a^2/x*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)-1/3*b^2*n^2/a^2/x-1/3*I*b^2*n/a^2/x*Pi*csgn(I*c*(b*x+a)^n)^3-1/3*I*b^3*n/a^3*ln(x)*Pi*csgn(I*c*(b*x+a)^n)^3+1/3*I/x^3*ln((b*x+a)^n)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)+2/3*b^2*n/a^2/x*ln(c)+2/3*b^3*n/a^3*ln(x)*ln(c)-2/3*b^3*n/a^3*ln(b*x+a)*ln(c)-1/3*b*n/a/x^2*ln(c)-2/3*b^3*n^2/a^3*ln(x)*ln(1/a*(b*x+a))+1/3*I*b^3*n/a^3*ln(b*x+a)*Pi*csgn(I*c*(b*x+a)^n)^3+1/6*I*b*n/a/x^2*Pi*csgn(I*c*(b*x+a)^n)^3-b^3*n^2*ln(x)/a^3+b^3*n^2*ln(b*x+a)/a^3","C"
87,1,5345,271,0.833000," ","int(x^2*ln(c*(b*x+a)^n)^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
88,0,0,308,0.594000," ","int((g*x+f)^3/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{\left(g x +f \right)^{3}}{b \ln \left(c \left(e x +d \right)^{n}\right)+a}\, dx"," ",0,"int((g*x+f)^3/(b*ln(c*(e*x+d)^n)+a),x)","F"
89,0,0,225,0.566000," ","int((g*x+f)^2/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{\left(g x +f \right)^{2}}{b \ln \left(c \left(e x +d \right)^{n}\right)+a}\, dx"," ",0,"int((g*x+f)^2/(b*ln(c*(e*x+d)^n)+a),x)","F"
90,0,0,142,0.414000," ","int((g*x+f)/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{g x +f}{b \ln \left(c \left(e x +d \right)^{n}\right)+a}\, dx"," ",0,"int((g*x+f)/(b*ln(c*(e*x+d)^n)+a),x)","F"
91,1,311,63,0.060000," ","int(1/(b*ln(c*(e*x+d)^n)+a),x)","-\frac{\left(e x +d \right) c^{-\frac{1}{n}} \left(\left(e x +d \right)^{n}\right)^{-\frac{1}{n}} \Ei \left(1, -\ln \left(e x +d \right)-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 a +2 \left(-n \ln \left(e x +d \right)+\ln \left(\left(e x +d \right)^{n}\right)\right) b}{2 b n}\right) {\mathrm e}^{-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 a}{2 b n}}}{b e n}"," ",0,"-1/e/b/n*(e*x+d)*((e*x+d)^n)^(-1/n)*c^(-1/n)*exp(-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*a)/b/n)*Ei(1,-ln(e*x+d)-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*a+2*(-n*ln(e*x+d)+ln((e*x+d)^n))*b)/b/n)","C"
92,0,0,26,0.731000," ","int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{1}{\left(g x +f \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)}\, dx"," ",0,"int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a),x)","F"
93,0,0,26,0.749000," ","int(1/(g*x+f)^2/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{1}{\left(g x +f \right)^{2} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)}\, dx"," ",0,"int(1/(g*x+f)^2/(b*ln(c*(e*x+d)^n)+a),x)","F"
94,0,0,348,5.063000," ","int((g*x+f)^3/(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \frac{\left(g x +f \right)^{3}}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}\, dx"," ",0,"int((g*x+f)^3/(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
95,0,0,265,4.903000," ","int((g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \frac{\left(g x +f \right)^{2}}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}\, dx"," ",0,"int((g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
96,0,0,180,4.828000," ","int((g*x+f)/(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \frac{g x +f}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}\, dx"," ",0,"int((g*x+f)/(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
97,1,456,98,0.092000," ","int(1/(b*ln(c*(e*x+d)^n)+a)^2,x)","-\frac{\left(e x +d \right) c^{-\frac{1}{n}} \left(\left(e x +d \right)^{n}\right)^{-\frac{1}{n}} \Ei \left(1, -\ln \left(e x +d \right)-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 a +2 \left(-n \ln \left(e x +d \right)+\ln \left(\left(e x +d \right)^{n}\right)\right) b}{2 b n}\right) {\mathrm e}^{-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 a}{2 b n}}}{b^{2} e \,n^{2}}-\frac{2 \left(e x +d \right)}{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 b \ln \left(\left(e x +d \right)^{n}\right)+2 a \right) b e n}"," ",0,"-2/(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*b*ln((e*x+d)^n)+2*a)/b/n/e*(e*x+d)-1/b^2/n^2/e*(e*x+d)*c^(-1/n)*((e*x+d)^n)^(-1/n)*exp(-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*a)/b/n)*Ei(1,-ln(e*x+d)-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*a+2*(-n*ln(e*x+d)+ln((e*x+d)^n))*b)/b/n)","C"
98,0,0,26,1.928000," ","int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \frac{1}{\left(g x +f \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
99,0,0,26,4.409000," ","int(1/(g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \frac{1}{\left(g x +f \right)^{2} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
100,0,0,349,3.932000," ","int((g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^3,x)","\int \frac{\left(g x +f \right)^{2}}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3}}\, dx"," ",0,"int((g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^3,x)","F"
101,0,0,258,4.923000," ","int((g*x+f)/(b*ln(c*(e*x+d)^n)+a)^3,x)","\int \frac{g x +f}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3}}\, dx"," ",0,"int((g*x+f)/(b*ln(c*(e*x+d)^n)+a)^3,x)","F"
102,1,734,135,0.049000," ","int(1/(b*ln(c*(e*x+d)^n)+a)^3,x)","-\frac{\left(e x +d \right) c^{-\frac{1}{n}} \left(\left(e x +d \right)^{n}\right)^{-\frac{1}{n}} \Ei \left(1, -\ln \left(e x +d \right)-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 a +2 \left(-n \ln \left(e x +d \right)+\ln \left(\left(e x +d \right)^{n}\right)\right) b}{2 b n}\right) {\mathrm e}^{-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 a}{2 b n}}}{2 b^{3} e \,n^{3}}-\frac{-i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b e x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b e x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b d \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b d \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b e n x +2 b e x \ln \left(c \right)+2 b e x \ln \left(\left(e x +d \right)^{n}\right)+2 a e x +2 b d n +2 b d \ln \left(c \right)+2 b d \ln \left(\left(e x +d \right)^{n}\right)+2 a d}{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 b \ln \left(\left(e x +d \right)^{n}\right)+2 a \right)^{2} b^{2} e \,n^{2}}"," ",0,"-(-I*Pi*b*e*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*e*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*e*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*e*x*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*d*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*d*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*d*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*d*csgn(I*c*(e*x+d)^n)^3+2*b*e*n*x+2*b*e*x*ln(c)+2*b*e*x*ln((e*x+d)^n)+2*a*e*x+2*b*d*n+2*b*d*ln(c)+2*b*d*ln((e*x+d)^n)+2*a*d)/(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*b*ln((e*x+d)^n)+2*a)^2/b^2/e/n^2-1/2/b^3/n^3/e*(e*x+d)*c^(-1/n)*((e*x+d)^n)^(-1/n)*exp(-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*a)/b/n)*Ei(1,-ln(e*x+d)-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*a+2*(-n*ln(e*x+d)+ln((e*x+d)^n))*b)/b/n)","C"
103,0,0,26,4.222000," ","int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^3,x)","\int \frac{1}{\left(g x +f \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3}}\, dx"," ",0,"int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^3,x)","F"
104,0,0,26,9.462000," ","int(1/(g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^3,x)","\int \frac{1}{\left(g x +f \right)^{2} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3}}\, dx"," ",0,"int(1/(g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^3,x)","F"
105,0,0,354,0.529000," ","int((g*x+f)^2*(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \left(g x +f \right)^{2} \sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}\, dx"," ",0,"int((g*x+f)^2*(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
106,0,0,221,0.388000," ","int((g*x+f)*(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \left(g x +f \right) \sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}\, dx"," ",0,"int((g*x+f)*(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
107,0,0,95,0.038000," ","int((b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
108,0,0,26,0.588000," ","int((b*ln(c*(e*x+d)^n)+a)^(1/2)/(g*x+f),x)","\int \frac{\sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}{g x +f}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(1/2)/(g*x+f),x)","F"
109,0,0,81,0.551000," ","int((b*ln(c*(e*x+d)^n)+a)^(1/2)/(g*x+f)^2,x)","\int \frac{\sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}{\left(g x +f \right)^{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(1/2)/(g*x+f)^2,x)","F"
110,0,0,70,0.549000," ","int((b*ln(c*(e*x+d)^n)+a)^(1/2)/(g*x+f)^3,x)","\int \frac{\sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}{\left(g x +f \right)^{3}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(1/2)/(g*x+f)^3,x)","F"
111,0,0,464,0.528000," ","int((g*x+f)^2*(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","\int \left(g x +f \right)^{2} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}\, dx"," ",0,"int((g*x+f)^2*(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","F"
112,0,0,288,0.385000," ","int((g*x+f)*(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","\int \left(g x +f \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}\, dx"," ",0,"int((g*x+f)*(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","F"
113,0,0,123,0.038000," ","int((b*ln(c*(e*x+d)^n)+a)^(3/2),x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(3/2),x)","F"
114,0,0,26,0.592000," ","int((b*ln(c*(e*x+d)^n)+a)^(3/2)/(g*x+f),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}}{g x +f}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(3/2)/(g*x+f),x)","F"
115,0,0,81,0.586000," ","int((b*ln(c*(e*x+d)^n)+a)^(3/2)/(g*x+f)^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}}{\left(g x +f \right)^{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(3/2)/(g*x+f)^2,x)","F"
116,0,0,70,0.548000," ","int((b*ln(c*(e*x+d)^n)+a)^(3/2)/(g*x+f)^3,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}}{\left(g x +f \right)^{3}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(3/2)/(g*x+f)^3,x)","F"
117,0,0,586,0.550000," ","int((g*x+f)^2*(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","\int \left(g x +f \right)^{2} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{5}{2}}\, dx"," ",0,"int((g*x+f)^2*(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","F"
118,0,0,363,0.388000," ","int((g*x+f)*(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","\int \left(g x +f \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{5}{2}}\, dx"," ",0,"int((g*x+f)*(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","F"
119,0,0,155,0.035000," ","int((b*ln(c*(e*x+d)^n)+a)^(5/2),x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{5}{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(5/2),x)","F"
120,0,0,26,0.565000," ","int((b*ln(c*(e*x+d)^n)+a)^(5/2)/(g*x+f),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{5}{2}}}{g x +f}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(5/2)/(g*x+f),x)","F"
121,0,0,81,0.549000," ","int((b*ln(c*(e*x+d)^n)+a)^(5/2)/(g*x+f)^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{5}{2}}}{\left(g x +f \right)^{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(5/2)/(g*x+f)^2,x)","F"
122,0,0,70,0.624000," ","int((b*ln(c*(e*x+d)^n)+a)^(5/2)/(g*x+f)^3,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{5}{2}}}{\left(g x +f \right)^{3}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(5/2)/(g*x+f)^3,x)","F"
123,0,0,338,0.531000," ","int((g*x+f)^3/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \frac{\left(g x +f \right)^{3}}{\sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}\, dx"," ",0,"int((g*x+f)^3/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
124,0,0,250,0.576000," ","int((g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \frac{\left(g x +f \right)^{2}}{\sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}\, dx"," ",0,"int((g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
125,0,0,158,0.385000," ","int((g*x+f)/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \frac{g x +f}{\sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}\, dx"," ",0,"int((g*x+f)/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
126,0,0,68,0.036000," ","int(1/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \frac{1}{\sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}\, dx"," ",0,"int(1/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
127,0,0,26,0.571000," ","int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \frac{1}{\left(g x +f \right) \sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}\, dx"," ",0,"int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
128,0,0,379,0.523000," ","int((g*x+f)^3/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","\int \frac{\left(g x +f \right)^{3}}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((g*x+f)^3/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","F"
129,0,0,291,0.541000," ","int((g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","\int \frac{\left(g x +f \right)^{2}}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","F"
130,0,0,196,0.383000," ","int((g*x+f)/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","\int \frac{g x +f}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((g*x+f)/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","F"
131,0,0,102,0.036000," ","int(1/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","\int \frac{1}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","F"
132,0,0,26,0.552000," ","int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","\int \frac{1}{\left(g x +f \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","F"
133,0,0,465,0.527000," ","int((g*x+f)^3/(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","\int \frac{\left(g x +f \right)^{3}}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((g*x+f)^3/(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","F"
134,0,0,375,0.529000," ","int((g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","\int \frac{\left(g x +f \right)^{2}}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((g*x+f)^2/(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","F"
135,0,0,273,0.378000," ","int((g*x+f)/(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","\int \frac{g x +f}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((g*x+f)/(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","F"
136,0,0,134,0.035000," ","int(1/(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","\int \frac{1}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","F"
137,0,0,26,0.553000," ","int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","\int \frac{1}{\left(g x +f \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^(5/2),x)","F"
138,0,0,135,0.658000," ","int((g*x+f)^(3/2)*(b*ln(c*(e*x+d)^n)+a),x)","\int \left(g x +f \right)^{\frac{3}{2}} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)\, dx"," ",0,"int((g*x+f)^(3/2)*(b*ln(c*(e*x+d)^n)+a),x)","F"
139,0,0,108,0.608000," ","int((g*x+f)^(1/2)*(b*ln(c*(e*x+d)^n)+a),x)","\int \sqrt{g x +f}\, \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)\, dx"," ",0,"int((g*x+f)^(1/2)*(b*ln(c*(e*x+d)^n)+a),x)","F"
140,1,148,83,0.078000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)^(1/2),x)","\frac{4 b d n \arctan \left(\frac{\sqrt{g x +f}\, e}{\sqrt{\left(d g -e f \right) e}}\right)}{\sqrt{\left(d g -e f \right) e}}-\frac{4 b e f n \arctan \left(\frac{\sqrt{g x +f}\, e}{\sqrt{\left(d g -e f \right) e}}\right)}{\sqrt{\left(d g -e f \right) e}\, g}-\frac{4 \sqrt{g x +f}\, b n}{g}+\frac{2 \sqrt{g x +f}\, b \ln \left(c \left(\frac{d g -e f +\left(g x +f \right) e}{g}\right)^{n}\right)}{g}+\frac{2 \sqrt{g x +f}\, a}{g}"," ",0,"2/g*(g*x+f)^(1/2)*a+2/g*b*(g*x+f)^(1/2)*ln(c*((d*g-e*f+(g*x+f)*e)/g)^n)-4*b*n*(g*x+f)^(1/2)/g+4*b*n/((d*g-e*f)*e)^(1/2)*arctan((g*x+f)^(1/2)*e/((d*g-e*f)*e)^(1/2))*d-4/g*b*e*n/((d*g-e*f)*e)^(1/2)*arctan((g*x+f)^(1/2)*e/((d*g-e*f)*e)^(1/2))*f","A"
141,0,0,69,0.468000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)^(3/2),x)","\int \frac{b \ln \left(c \left(e x +d \right)^{n}\right)+a}{\left(g x +f \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)^(3/2),x)","F"
142,0,0,94,0.490000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)^(5/2),x)","\int \frac{b \ln \left(c \left(e x +d \right)^{n}\right)+a}{\left(g x +f \right)^{\frac{5}{2}}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)^(5/2),x)","F"
143,0,0,121,0.517000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)^(7/2),x)","\int \frac{b \ln \left(c \left(e x +d \right)^{n}\right)+a}{\left(g x +f \right)^{\frac{7}{2}}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)^(7/2),x)","F"
144,0,0,148,0.469000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)^(9/2),x)","\int \frac{b \ln \left(c \left(e x +d \right)^{n}\right)+a}{\left(g x +f \right)^{\frac{9}{2}}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)^(9/2),x)","F"
145,0,0,496,0.596000," ","int((g*x+f)^(3/2)*(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \left(g x +f \right)^{\frac{3}{2}} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}\, dx"," ",0,"int((g*x+f)^(3/2)*(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
146,0,0,424,0.599000," ","int((g*x+f)^(1/2)*(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \sqrt{g x +f}\, \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}\, dx"," ",0,"int((g*x+f)^(1/2)*(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
147,0,0,356,0.505000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)^(1/2),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\sqrt{g x +f}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)^(1/2),x)","F"
148,0,0,264,0.488000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)^(3/2),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\left(g x +f \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)^(3/2),x)","F"
149,0,0,349,0.455000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)^(5/2),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\left(g x +f \right)^{\frac{5}{2}}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)^(5/2),x)","F"
150,0,0,421,0.528000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)^(7/2),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\left(g x +f \right)^{\frac{7}{2}}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)^(7/2),x)","F"
151,0,0,493,0.522000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)^(9/2),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\left(g x +f \right)^{\frac{9}{2}}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)^(9/2),x)","F"
152,0,0,26,0.433000," ","int((g*x+f)^(3/2)/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{\left(g x +f \right)^{\frac{3}{2}}}{b \ln \left(c \left(e x +d \right)^{n}\right)+a}\, dx"," ",0,"int((g*x+f)^(3/2)/(b*ln(c*(e*x+d)^n)+a),x)","F"
153,0,0,26,0.409000," ","int((g*x+f)^(1/2)/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{\sqrt{g x +f}}{b \ln \left(c \left(e x +d \right)^{n}\right)+a}\, dx"," ",0,"int((g*x+f)^(1/2)/(b*ln(c*(e*x+d)^n)+a),x)","F"
154,0,0,26,0.405000," ","int(1/(b*ln(c*(e*x+d)^n)+a)/(g*x+f)^(1/2),x)","\int \frac{1}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right) \sqrt{g x +f}}\, dx"," ",0,"int(1/(b*ln(c*(e*x+d)^n)+a)/(g*x+f)^(1/2),x)","F"
155,0,0,26,0.413000," ","int(1/(g*x+f)^(3/2)/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{1}{\left(g x +f \right)^{\frac{3}{2}} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)}\, dx"," ",0,"int(1/(g*x+f)^(3/2)/(b*ln(c*(e*x+d)^n)+a),x)","F"
156,0,0,70,0.717000," ","int((g*x+f)^(1/2)*(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \sqrt{g x +f}\, \sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}\, dx"," ",0,"int((g*x+f)^(1/2)*(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
157,0,0,70,0.634000," ","int((b*ln(c*(e*x+d)^n)+a)^(1/2)/(g*x+f)^(1/2),x)","\int \frac{\sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}{\sqrt{g x +f}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(1/2)/(g*x+f)^(1/2),x)","F"
158,0,0,69,0.638000," ","int((b*ln(c*(e*x+d)^n)+a)^(1/2)/(g*x+f)^(3/2),x)","\int \frac{\sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}{\left(g x +f \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^(1/2)/(g*x+f)^(3/2),x)","F"
159,0,0,26,0.635000," ","int((g*x+f)^(1/2)/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \frac{\sqrt{g x +f}}{\sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}\, dx"," ",0,"int((g*x+f)^(1/2)/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
160,0,0,26,0.567000," ","int(1/(g*x+f)^(1/2)/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \frac{1}{\sqrt{g x +f}\, \sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}\, dx"," ",0,"int(1/(g*x+f)^(1/2)/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
161,0,0,26,0.556000," ","int(1/(g*x+f)^(3/2)/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \frac{1}{\left(g x +f \right)^{\frac{3}{2}} \sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}\, dx"," ",0,"int(1/(g*x+f)^(3/2)/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
162,0,0,96,1.014000," ","int((g*x+f)^m*(b*ln(c*(e*x+d)^n)+a),x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right) \left(g x +f \right)^{m}\, dx"," ",0,"int((g*x+f)^m*(b*ln(c*(e*x+d)^n)+a),x)","F"
163,0,0,26,1.303000," ","int((g*x+f)^m/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{\left(g x +f \right)^{m}}{b \ln \left(c \left(e x +d \right)^{n}\right)+a}\, dx"," ",0,"int((g*x+f)^m/(b*ln(c*(e*x+d)^n)+a),x)","F"
164,0,0,26,8.965000," ","int((g*x+f)^m/(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \frac{\left(g x +f \right)^{m}}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}\, dx"," ",0,"int((g*x+f)^m/(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
165,0,0,26,0.650000," ","int((g*x+f)^m*(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}} \left(g x +f \right)^{m}\, dx"," ",0,"int((g*x+f)^m*(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","F"
166,0,0,26,0.645000," ","int((g*x+f)^m*(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}\, \left(g x +f \right)^{m}\, dx"," ",0,"int((g*x+f)^m*(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
167,0,0,26,0.642000," ","int((g*x+f)^m/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","\int \frac{\left(g x +f \right)^{m}}{\sqrt{b \ln \left(c \left(e x +d \right)^{n}\right)+a}}\, dx"," ",0,"int((g*x+f)^m/(b*ln(c*(e*x+d)^n)+a)^(1/2),x)","F"
168,0,0,26,0.643000," ","int((g*x+f)^m/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","\int \frac{\left(g x +f \right)^{m}}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((g*x+f)^m/(b*ln(c*(e*x+d)^n)+a)^(3/2),x)","F"
169,0,0,26,0.937000," ","int((g*x+f)^m*(b*ln(c*(e*x+d)^n)+a)^n,x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{n} \left(g x +f \right)^{m}\, dx"," ",0,"int((g*x+f)^m*(b*ln(c*(e*x+d)^n)+a)^n,x)","F"
170,0,0,493,1.331000," ","int((g*x+f)^3*(b*ln(c*(e*x+d)^n)+a)^n,x)","\int \left(g x +f \right)^{3} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{n}\, dx"," ",0,"int((g*x+f)^3*(b*ln(c*(e*x+d)^n)+a)^n,x)","F"
171,0,0,362,2.247000," ","int((g*x+f)^2*(b*ln(c*(e*x+d)^n)+a)^n,x)","\int \left(g x +f \right)^{2} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{n}\, dx"," ",0,"int((g*x+f)^2*(b*ln(c*(e*x+d)^n)+a)^n,x)","F"
172,0,0,234,2.216000," ","int((g*x+f)*(b*ln(c*(e*x+d)^n)+a)^n,x)","\int \left(g x +f \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{n}\, dx"," ",0,"int((g*x+f)*(b*ln(c*(e*x+d)^n)+a)^n,x)","F"
173,0,0,107,1.240000," ","int((b*ln(c*(e*x+d)^n)+a)^n,x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{n}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^n,x)","F"
174,0,0,26,1.415000," ","int((b*ln(c*(e*x+d)^n)+a)^n/(g*x+f),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{n}}{g x +f}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^n/(g*x+f),x)","F"
175,1,1057,303,0.054000," ","int((i*x+h)^4*(a+b*ln(c*(f*x+e)))/(d*f*x+d*e),x)","\frac{b \,i^{4} x^{4} \ln \left(c f x +c e \right)}{4 d f}+\frac{a \,i^{4} x^{4}}{4 d f}-\frac{b e \,i^{4} x^{3} \ln \left(c f x +c e \right)}{3 d \,f^{2}}+\frac{4 b h \,i^{3} x^{3} \ln \left(c f x +c e \right)}{3 d f}-\frac{b \,i^{4} x^{4}}{16 d f}-\frac{a e \,i^{4} x^{3}}{3 d \,f^{2}}+\frac{4 a h \,i^{3} x^{3}}{3 d f}+\frac{b \,e^{2} i^{4} x^{2} \ln \left(c f x +c e \right)}{2 d \,f^{3}}-\frac{2 b e h \,i^{3} x^{2} \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{7 b e \,i^{4} x^{3}}{36 d \,f^{2}}+\frac{3 b \,h^{2} i^{2} x^{2} \ln \left(c f x +c e \right)}{d f}-\frac{4 b h \,i^{3} x^{3}}{9 d f}+\frac{a \,e^{2} i^{4} x^{2}}{2 d \,f^{3}}-\frac{2 a e h \,i^{3} x^{2}}{d \,f^{2}}+\frac{3 a \,h^{2} i^{2} x^{2}}{d f}+\frac{b \,e^{4} i^{4} \ln \left(c f x +c e \right)^{2}}{2 d \,f^{5}}-\frac{2 b \,e^{3} h \,i^{3} \ln \left(c f x +c e \right)^{2}}{d \,f^{4}}-\frac{b \,e^{3} i^{4} x \ln \left(c f x +c e \right)}{d \,f^{4}}+\frac{3 b \,e^{2} h^{2} i^{2} \ln \left(c f x +c e \right)^{2}}{d \,f^{3}}+\frac{4 b \,e^{2} h \,i^{3} x \ln \left(c f x +c e \right)}{d \,f^{3}}-\frac{13 b \,e^{2} i^{4} x^{2}}{24 d \,f^{3}}-\frac{2 b e \,h^{3} i \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}-\frac{6 b e \,h^{2} i^{2} x \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{5 b e h \,i^{3} x^{2}}{3 d \,f^{2}}+\frac{b \,h^{4} \ln \left(c f x +c e \right)^{2}}{2 d f}+\frac{4 b \,h^{3} i x \ln \left(c f x +c e \right)}{d f}-\frac{3 b \,h^{2} i^{2} x^{2}}{2 d f}+\frac{a \,e^{4} i^{4} \ln \left(c f x +c e \right)}{d \,f^{5}}-\frac{4 a \,e^{3} h \,i^{3} \ln \left(c f x +c e \right)}{d \,f^{4}}-\frac{a \,e^{3} i^{4} x}{d \,f^{4}}+\frac{6 a \,e^{2} h^{2} i^{2} \ln \left(c f x +c e \right)}{d \,f^{3}}+\frac{4 a \,e^{2} h \,i^{3} x}{d \,f^{3}}-\frac{4 a e \,h^{3} i \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{6 a e \,h^{2} i^{2} x}{d \,f^{2}}+\frac{a \,h^{4} \ln \left(c f x +c e \right)}{d f}+\frac{4 a \,h^{3} i x}{d f}-\frac{25 b \,e^{4} i^{4} \ln \left(c f x +c e \right)}{12 d \,f^{5}}+\frac{22 b \,e^{3} h \,i^{3} \ln \left(c f x +c e \right)}{3 d \,f^{4}}+\frac{25 b \,e^{3} i^{4} x}{12 d \,f^{4}}-\frac{9 b \,e^{2} h^{2} i^{2} \ln \left(c f x +c e \right)}{d \,f^{3}}-\frac{22 b \,e^{2} h \,i^{3} x}{3 d \,f^{3}}+\frac{4 b e \,h^{3} i \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{9 b e \,h^{2} i^{2} x}{d \,f^{2}}-\frac{4 b \,h^{3} i x}{d f}-\frac{25 a \,e^{4} i^{4}}{12 d \,f^{5}}+\frac{22 a \,e^{3} h \,i^{3}}{3 d \,f^{4}}-\frac{9 a \,e^{2} h^{2} i^{2}}{d \,f^{3}}+\frac{4 a e \,h^{3} i}{d \,f^{2}}+\frac{415 b \,e^{4} i^{4}}{144 d \,f^{5}}-\frac{85 b \,e^{3} h \,i^{3}}{9 d \,f^{4}}+\frac{21 b \,e^{2} h^{2} i^{2}}{2 d \,f^{3}}-\frac{4 b e \,h^{3} i}{d \,f^{2}}"," ",0,"415/144/f^5/d*b*e^4*i^4-25/12/f^5/d*a*e^4*i^4+22/3/f^4/d*b*e^3*h*i^3*ln(c*f*x+c*e)-2/f^4/d*b*e^3*h*i^3*ln(c*f*x+c*e)^2-4/f^4/d*a*e^3*h*i^3*ln(c*f*x+c*e)+3/f/d*b*h^2*i^2*ln(c*f*x+c*e)*x^2+4/f/d*b*h^3*i*ln(c*f*x+c*e)*x+6/f^3/d*a*e^2*h^2*i^2*ln(c*f*x+c*e)+4/3/f/d*b*h*i^3*ln(c*f*x+c*e)*x^3+3/f^3/d*b*e^2*h^2*i^2*ln(c*f*x+c*e)^2+4/f^2/d*b*h^3*i*ln(c*f*x+c*e)*e-2/f^2/d*b*e*h^3*i*ln(c*f*x+c*e)^2-1/f^4/d*b*e^3*i^4*ln(c*f*x+c*e)*x+5/3/f^2/d*b*h*i^3*x^2*e+4/f/d*a*h^3*i*x-1/f^4/d*a*e^3*i^4*x+1/f^5/d*a*e^4*i^4*ln(c*f*x+c*e)-25/12/f^5/d*b*e^4*i^4*ln(c*f*x+c*e)+1/4/f/d*b*i^4*ln(c*f*x+c*e)*x^4+1/2/f^5/d*b*e^4*i^4*ln(c*f*x+c*e)^2+1/2/f^3/d*a*i^4*x^2*e^2-1/3/f^2/d*a*i^4*x^3*e+3/f/d*a*h^2*i^2*x^2-4/9/f/d*b*h*i^3*x^3+4/3/f/d*a*h*i^3*x^3-3/2/f/d*b*h^2*i^2*x^2+7/36/f^2/d*b*e*i^4*x^3-13/24/f^3/d*b*e^2*i^4*x^2+25/12/f^4/d*b*e^3*i^4*x-4/f/d*b*h^3*i*x+1/4/f/d*a*i^4*x^4-6/f^2/d*b*e*h^2*i^2*ln(c*f*x+c*e)*x+4/f^3/d*b*e^2*h*i^3*ln(c*f*x+c*e)*x-2/f^2/d*b*h*i^3*ln(c*f*x+c*e)*x^2*e+22/3/f^4/d*a*e^3*h*i^3+4/f^2/d*a*e*h^3*i-9/f^3/d*a*e^2*h^2*i^2-85/9/f^4/d*b*e^3*h*i^3-4/f^2/d*b*e*h^3*i+21/2/f^3/d*b*e^2*h^2*i^2-22/3/f^3/d*b*e^2*h*i^3*x+4/f^3/d*a*e^2*h*i^3*x-6/f^2/d*a*e*h^2*i^2*x-4/f^2/d*a*e*h^3*i*ln(c*f*x+c*e)-1/16/f/d*b*i^4*x^4+1/f/d*a*h^4*ln(c*f*x+c*e)+1/2/f/d*b*h^4*ln(c*f*x+c*e)^2-2/f^2/d*a*e*h*i^3*x^2+9/f^2/d*b*e*h^2*i^2*x-9/f^3/d*b*e^2*h^2*i^2*ln(c*f*x+c*e)-1/3/f^2/d*b*e*i^4*ln(c*f*x+c*e)*x^3+1/2/f^3/d*b*e^2*i^4*ln(c*f*x+c*e)*x^2","B"
176,1,685,234,0.050000," ","int((i*x+h)^3*(a+b*ln(c*(f*x+e)))/(d*f*x+d*e),x)","\frac{b \,i^{3} x^{3} \ln \left(c f x +c e \right)}{3 d f}+\frac{a \,i^{3} x^{3}}{3 d f}-\frac{b e \,i^{3} x^{2} \ln \left(c f x +c e \right)}{2 d \,f^{2}}+\frac{3 b h \,i^{2} x^{2} \ln \left(c f x +c e \right)}{2 d f}-\frac{b \,i^{3} x^{3}}{9 d f}-\frac{a e \,i^{3} x^{2}}{2 d \,f^{2}}+\frac{3 a h \,i^{2} x^{2}}{2 d f}-\frac{b \,e^{3} i^{3} \ln \left(c f x +c e \right)^{2}}{2 d \,f^{4}}+\frac{3 b \,e^{2} h \,i^{2} \ln \left(c f x +c e \right)^{2}}{2 d \,f^{3}}+\frac{b \,e^{2} i^{3} x \ln \left(c f x +c e \right)}{d \,f^{3}}-\frac{3 b e \,h^{2} i \ln \left(c f x +c e \right)^{2}}{2 d \,f^{2}}-\frac{3 b e h \,i^{2} x \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{5 b e \,i^{3} x^{2}}{12 d \,f^{2}}+\frac{b \,h^{3} \ln \left(c f x +c e \right)^{2}}{2 d f}+\frac{3 b \,h^{2} i x \ln \left(c f x +c e \right)}{d f}-\frac{3 b h \,i^{2} x^{2}}{4 d f}-\frac{a \,e^{3} i^{3} \ln \left(c f x +c e \right)}{d \,f^{4}}+\frac{3 a \,e^{2} h \,i^{2} \ln \left(c f x +c e \right)}{d \,f^{3}}+\frac{a \,e^{2} i^{3} x}{d \,f^{3}}-\frac{3 a e \,h^{2} i \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{3 a e h \,i^{2} x}{d \,f^{2}}+\frac{a \,h^{3} \ln \left(c f x +c e \right)}{d f}+\frac{3 a \,h^{2} i x}{d f}+\frac{11 b \,e^{3} i^{3} \ln \left(c f x +c e \right)}{6 d \,f^{4}}-\frac{9 b \,e^{2} h \,i^{2} \ln \left(c f x +c e \right)}{2 d \,f^{3}}-\frac{11 b \,e^{2} i^{3} x}{6 d \,f^{3}}+\frac{3 b e \,h^{2} i \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{9 b e h \,i^{2} x}{2 d \,f^{2}}-\frac{3 b \,h^{2} i x}{d f}+\frac{11 a \,e^{3} i^{3}}{6 d \,f^{4}}-\frac{9 a \,e^{2} h \,i^{2}}{2 d \,f^{3}}+\frac{3 a e \,h^{2} i}{d \,f^{2}}-\frac{85 b \,e^{3} i^{3}}{36 d \,f^{4}}+\frac{21 b \,e^{2} h \,i^{2}}{4 d \,f^{3}}-\frac{3 b e \,h^{2} i}{d \,f^{2}}"," ",0,"-85/36/f^4/d*b*e^3*i^3+11/6/f^4/d*a*e^3*i^3-3/2/f^2/d*b*e*h^2*i*ln(c*f*x+c*e)^2+3/2/f^3/d*b*e^2*h*i^2*ln(c*f*x+c*e)^2-1/2/f^2/d*b*e*i^3*ln(c*f*x+c*e)*x^2+3/f/d*b*h^2*i*ln(c*f*x+c*e)*x-3/f^2/d*a*e*h^2*i*ln(c*f*x+c*e)+3/f^3/d*a*e^2*h*i^2*ln(c*f*x+c*e)+3/2/f/d*b*h*i^2*ln(c*f*x+c*e)*x^2+1/f^3/d*b*e^2*i^3*ln(c*f*x+c*e)*x+3/f^2/d*b*h^2*i*ln(c*f*x+c*e)*e-9/2/f^3/d*b*e^2*h*i^2*ln(c*f*x+c*e)+1/3/f/d*a*i^3*x^3+1/2/f/d*b*h^3*ln(c*f*x+c*e)^2+1/f/d*a*h^3*ln(c*f*x+c*e)-1/9/f/d*b*i^3*x^3-1/2/f^4/d*b*e^3*i^3*ln(c*f*x+c*e)^2-1/f^4/d*a*e^3*i^3*ln(c*f*x+c*e)+21/4/f^3/d*b*e^2*h*i^2-3/f^2/d*b*e*h^2*i+3/f^2/d*a*e*h^2*i-9/2/f^3/d*a*e^2*h*i^2+9/2/f^2/d*b*e*h*i^2*x-3/f^2/d*a*e*h*i^2*x+1/f^3/d*a*e^2*i^3*x+3/f/d*a*h^2*i*x+11/6/f^4/d*b*e^3*i^3*ln(c*f*x+c*e)-3/f/d*b*h^2*i*x-1/2/f^2/d*a*e*i^3*x^2+3/2/f/d*a*h*i^2*x^2-11/6/f^3/d*b*e^2*i^3*x+5/12/f^2/d*b*e*i^3*x^2-3/4/f/d*b*h*i^2*x^2+1/3/f/d*b*i^3*ln(c*f*x+c*e)*x^3-3/f^2/d*b*e*h*i^2*ln(c*f*x+c*e)*x","B"
177,1,387,151,0.050000," ","int((i*x+h)^2*(a+b*ln(c*(f*x+e)))/(d*f*x+d*e),x)","\frac{b \,i^{2} x^{2} \ln \left(c f x +c e \right)}{2 d f}+\frac{a \,i^{2} x^{2}}{2 d f}+\frac{b \,e^{2} i^{2} \ln \left(c f x +c e \right)^{2}}{2 d \,f^{3}}-\frac{b e h i \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}-\frac{b e \,i^{2} x \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{b \,h^{2} \ln \left(c f x +c e \right)^{2}}{2 d f}+\frac{2 b h i x \ln \left(c f x +c e \right)}{d f}-\frac{b \,i^{2} x^{2}}{4 d f}+\frac{a \,e^{2} i^{2} \ln \left(c f x +c e \right)}{d \,f^{3}}-\frac{2 a e h i \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{a e \,i^{2} x}{d \,f^{2}}+\frac{a \,h^{2} \ln \left(c f x +c e \right)}{d f}+\frac{2 a h i x}{d f}-\frac{3 b \,e^{2} i^{2} \ln \left(c f x +c e \right)}{2 d \,f^{3}}+\frac{2 b e h i \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{3 b e \,i^{2} x}{2 d \,f^{2}}-\frac{2 b h i x}{d f}-\frac{3 a \,e^{2} i^{2}}{2 d \,f^{3}}+\frac{2 a e h i}{d \,f^{2}}+\frac{7 b \,e^{2} i^{2}}{4 d \,f^{3}}-\frac{2 b e h i}{d \,f^{2}}"," ",0,"2/f^2/d*b*h*i*ln(c*f*x+c*e)*e-1/f^2/d*b*e*i^2*ln(c*f*x+c*e)*x-2/f^2/d*a*e*h*i*ln(c*f*x+c*e)-1/f^2/d*b*e*h*i*ln(c*f*x+c*e)^2-2/f^2/d*b*e*h*i+2/f^2/d*a*e*h*i+2/f/d*a*h*i*x-1/f^2/d*a*e*i^2*x+1/f^3/d*a*e^2*i^2*ln(c*f*x+c*e)+1/2/f^3/d*b*e^2*i^2*ln(c*f*x+c*e)^2+1/2/f/d*b*i^2*ln(c*f*x+c*e)*x^2-1/4/f/d*b*i^2*x^2+1/2/f/d*a*i^2*x^2+7/4/f^3/d*b*e^2*i^2-3/2/f^3/d*a*e^2*i^2+1/f/d*a*h^2*ln(c*f*x+c*e)+1/2/f/d*b*h^2*ln(c*f*x+c*e)^2-2/f/d*b*h*i*x+2/f/d*b*h*i*ln(c*f*x+c*e)*x+3/2/f^2/d*b*e*i^2*x-3/2/f^3/d*b*e^2*i^2*ln(c*f*x+c*e)","B"
178,1,163,77,0.047000," ","int((i*x+h)*(a+b*ln(c*(f*x+e)))/(d*f*x+d*e),x)","-\frac{b e i \ln \left(c f x +c e \right)^{2}}{2 d \,f^{2}}+\frac{b h \ln \left(c f x +c e \right)^{2}}{2 d f}+\frac{b i x \ln \left(c f x +c e \right)}{d f}-\frac{a e i \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{a h \ln \left(c f x +c e \right)}{d f}+\frac{a i x}{d f}+\frac{b e i \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{b i x}{d f}+\frac{a e i}{d \,f^{2}}-\frac{b e i}{d \,f^{2}}"," ",0,"-1/f^2/d*a*e*i*ln(c*f*x+c*e)+1/f/d*a*h*ln(c*f*x+c*e)+a*i*x/d/f+1/f^2/d*a*e*i-1/2/f^2/d*b*e*i*ln(c*f*x+c*e)^2+1/2/f/d*b*h*ln(c*f*x+c*e)^2+1/f/d*b*i*ln(c*f*x+c*e)*x+1/f^2/d*b*i*ln(c*f*x+c*e)*e-b*i*x/d/f-1/f^2/d*b*e*i","B"
179,1,39,25,0.046000," ","int((a+b*ln(c*(f*x+e)))/(d*f*x+d*e),x)","\frac{b \ln \left(c f x +c e \right)^{2}}{2 d f}+\frac{a \ln \left(c f x +c e \right)}{d f}"," ",0,"1/f/d*a*ln(c*f*x+c*e)+1/2/f*b/d*ln(c*f*x+c*e)^2","A"
180,1,197,86,0.172000," ","int((a+b*ln(c*(f*x+e)))/(d*f*x+d*e)/(i*x+h),x)","\frac{b \ln \left(\frac{-c e i +c f h +\left(c f x +c e \right) i}{-c e i +c f h}\right) \ln \left(c f x +c e \right)}{\left(e i -f h \right) d}-\frac{b \ln \left(c f x +c e \right)^{2}}{2 \left(e i -f h \right) d}+\frac{a \ln \left(-c e i +c f h +\left(c f x +c e \right) i \right)}{\left(e i -f h \right) d}-\frac{a \ln \left(c f x +c e \right)}{\left(e i -f h \right) d}+\frac{b \dilog \left(\frac{-c e i +c f h +\left(c f x +c e \right) i}{-c e i +c f h}\right)}{\left(e i -f h \right) d}"," ",0,"-1/d*a/(e*i-f*h)*ln(c*f*x+c*e)+1/d*a/(e*i-f*h)*ln(-c*e*i+h*c*f+(c*f*x+c*e)*i)-1/2/d*b*ln(c*f*x+c*e)^2/(e*i-f*h)+1/d*b/(e*i-f*h)*dilog((-c*e*i+h*c*f+(c*f*x+c*e)*i)/(-c*e*i+c*f*h))+1/d*b/(e*i-f*h)*ln(c*f*x+c*e)*ln((-c*e*i+h*c*f+(c*f*x+c*e)*i)/(-c*e*i+c*f*h))","B"
181,1,355,150,0.146000," ","int((a+b*ln(c*(f*x+e)))/(d*f*x+d*e)/(i*x+h)^2,x)","-\frac{b c \,f^{2} i x \ln \left(c f x +c e \right)}{\left(e i -f h \right)^{2} \left(c f i x +c f h \right) d}-\frac{b c e f i \ln \left(c f x +c e \right)}{\left(e i -f h \right)^{2} \left(c f i x +c f h \right) d}-\frac{b f \ln \left(\frac{-c e i +c f h +\left(c f x +c e \right) i}{-c e i +c f h}\right) \ln \left(c f x +c e \right)}{\left(e i -f h \right)^{2} d}+\frac{b f \ln \left(c f x +c e \right)^{2}}{2 \left(e i -f h \right)^{2} d}-\frac{a c f}{\left(e i -f h \right) \left(c f i x +c f h \right) d}-\frac{a f \ln \left(-c e i +c f h +\left(c f x +c e \right) i \right)}{\left(e i -f h \right)^{2} d}+\frac{a f \ln \left(c f x +c e \right)}{\left(e i -f h \right)^{2} d}-\frac{b f \dilog \left(\frac{-c e i +c f h +\left(c f x +c e \right) i}{-c e i +c f h}\right)}{\left(e i -f h \right)^{2} d}+\frac{b f \ln \left(-c e i +c f h +\left(c f x +c e \right) i \right)}{\left(e i -f h \right)^{2} d}"," ",0,"f/d*a/(e*i-f*h)^2*ln(c*f*x+c*e)-c*f/d*a/(e*i-f*h)/(c*f*i*x+c*f*h)-f/d*a/(e*i-f*h)^2*ln(-c*e*i+c*f*h+(c*f*x+c*e)*i)+f/d*b/(e*i-f*h)^2*ln(-c*e*i+c*f*h+(c*f*x+c*e)*i)-c*f^2/d*b/(e*i-f*h)^2*i*ln(c*f*x+c*e)/(c*f*i*x+c*f*h)*x-c*f/d*b/(e*i-f*h)^2*i*ln(c*f*x+c*e)/(c*f*i*x+c*f*h)*e+1/2*f/d*b*ln(c*f*x+c*e)^2/(e*i-f*h)^2-f/d*b/(e*i-f*h)^2*dilog((-c*e*i+c*f*h+(c*f*x+c*e)*i)/(-c*e*i+c*f*h))-f/d*b/(e*i-f*h)^2*ln(c*f*x+c*e)*ln((-c*e*i+c*f*h+(c*f*x+c*e)*i)/(-c*e*i+c*f*h))","B"
182,1,656,241,0.167000," ","int((a+b*ln(c*(f*x+e)))/(d*f*x+d*e)/(i*x+h)^3,x)","\frac{b \,c^{2} f^{4} i^{2} x^{2} \ln \left(c f x +c e \right)}{2 \left(e i -f h \right)^{3} \left(c f i x +c f h \right)^{2} d}+\frac{b \,c^{2} f^{4} h i x \ln \left(c f x +c e \right)}{\left(e i -f h \right)^{3} \left(c f i x +c f h \right)^{2} d}-\frac{b \,c^{2} e^{2} f^{2} i^{2} \ln \left(c f x +c e \right)}{2 \left(e i -f h \right)^{3} \left(c f i x +c f h \right)^{2} d}+\frac{b \,c^{2} e \,f^{3} h i \ln \left(c f x +c e \right)}{\left(e i -f h \right)^{3} \left(c f i x +c f h \right)^{2} d}+\frac{b c \,f^{3} i x \ln \left(c f x +c e \right)}{\left(e i -f h \right)^{3} \left(c f i x +c f h \right) d}+\frac{b c e \,f^{2} i \ln \left(c f x +c e \right)}{\left(e i -f h \right)^{3} \left(c f i x +c f h \right) d}-\frac{b c e \,f^{2} i}{2 \left(e i -f h \right)^{3} \left(c f i x +c f h \right) d}+\frac{b c \,f^{3} h}{2 \left(e i -f h \right)^{3} \left(c f i x +c f h \right) d}-\frac{a \,c^{2} f^{2}}{2 \left(e i -f h \right) \left(c f i x +c f h \right)^{2} d}+\frac{b \,f^{2} \ln \left(\frac{-c e i +c f h +\left(c f x +c e \right) i}{-c e i +c f h}\right) \ln \left(c f x +c e \right)}{\left(e i -f h \right)^{3} d}-\frac{b \,f^{2} \ln \left(c f x +c e \right)^{2}}{2 \left(e i -f h \right)^{3} d}+\frac{a c \,f^{2}}{\left(e i -f h \right)^{2} \left(c f i x +c f h \right) d}+\frac{a \,f^{2} \ln \left(-c e i +c f h +\left(c f x +c e \right) i \right)}{\left(e i -f h \right)^{3} d}-\frac{a \,f^{2} \ln \left(c f x +c e \right)}{\left(e i -f h \right)^{3} d}+\frac{b \,f^{2} \dilog \left(\frac{-c e i +c f h +\left(c f x +c e \right) i}{-c e i +c f h}\right)}{\left(e i -f h \right)^{3} d}-\frac{3 b \,f^{2} \ln \left(-c e i +c f h +\left(c f x +c e \right) i \right)}{2 \left(e i -f h \right)^{3} d}"," ",0,"-f^2/d*a/(e*i-f*h)^3*ln(c*f*x+c*e)+f^2/d*a/(e*i-f*h)^3*ln(-c*e*i+c*f*h+(c*f*x+c*e)*i)-1/2*c^2*f^2/d*a/(e*i-f*h)/(c*f*i*x+c*f*h)^2+c*f^2/d*a/(e*i-f*h)^2/(c*f*i*x+c*f*h)-1/2*c*f^2/d*b/(e*i-f*h)^3*i/(c*f*i*x+c*f*h)*e+1/2*c*f^3/d*b/(e*i-f*h)^3/(c*f*i*x+c*f*h)*h-3/2*f^2/d*b/(e*i-f*h)^3*ln(-c*e*i+c*f*h+(c*f*x+c*e)*i)-1/2*c^2*f^2/d*b/(e*i-f*h)^3*i^2*ln(c*f*x+c*e)/(c*f*i*x+c*f*h)^2*e^2+c^2*f^4/d*b/(e*i-f*h)^3*i*ln(c*f*x+c*e)/(c*f*i*x+c*f*h)^2*h*x+c^2*f^3/d*b/(e*i-f*h)^3*i*ln(c*f*x+c*e)/(c*f*i*x+c*f*h)^2*h*e+1/2*c^2*f^4/d*b/(e*i-f*h)^3*i^2*ln(c*f*x+c*e)/(c*f*i*x+c*f*h)^2*x^2+c*f^3/d*b/(e*i-f*h)^3*i*ln(c*f*x+c*e)/(c*f*i*x+c*f*h)*x+c*f^2/d*b/(e*i-f*h)^3*i*ln(c*f*x+c*e)/(c*f*i*x+c*f*h)*e-1/2*f^2/d*b*ln(c*f*x+c*e)^2/(e*i-f*h)^3+f^2/d*b/(e*i-f*h)^3*dilog((-c*e*i+c*f*h+(c*f*x+c*e)*i)/(-c*e*i+c*f*h))+f^2/d*b/(e*i-f*h)^3*ln(c*f*x+c*e)*ln((-c*e*i+c*f*h+(c*f*x+c*e)*i)/(-c*e*i+c*f*h))","B"
183,1,2310,557,0.058000," ","int((i*x+h)^4*(a+b*ln(c*(f*x+e)))^2/(d*f*x+d*e),x)","\frac{b^{2} i^{4} x^{4} \ln \left(c f x +c e \right)^{2}}{4 d f}+\frac{a b \,i^{4} x^{4} \ln \left(c f x +c e \right)}{2 d f}-\frac{b^{2} e \,i^{4} x^{3} \ln \left(c f x +c e \right)^{2}}{3 d \,f^{2}}+\frac{4 b^{2} h \,i^{3} x^{3} \ln \left(c f x +c e \right)^{2}}{3 d f}-\frac{b^{2} i^{4} x^{4} \ln \left(c f x +c e \right)}{8 d f}+\frac{a^{2} i^{4} x^{4}}{4 d f}-\frac{2 a b e \,i^{4} x^{3} \ln \left(c f x +c e \right)}{3 d \,f^{2}}+\frac{8 a b h \,i^{3} x^{3} \ln \left(c f x +c e \right)}{3 d f}-\frac{a b \,i^{4} x^{4}}{8 d f}+\frac{b^{2} e^{2} i^{4} x^{2} \ln \left(c f x +c e \right)^{2}}{2 d \,f^{3}}-\frac{2 b^{2} e h \,i^{3} x^{2} \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}+\frac{7 b^{2} e \,i^{4} x^{3} \ln \left(c f x +c e \right)}{18 d \,f^{2}}+\frac{3 b^{2} h^{2} i^{2} x^{2} \ln \left(c f x +c e \right)^{2}}{d f}-\frac{8 b^{2} h \,i^{3} x^{3} \ln \left(c f x +c e \right)}{9 d f}+\frac{b^{2} i^{4} x^{4}}{32 d f}-\frac{a^{2} e \,i^{4} x^{3}}{3 d \,f^{2}}+\frac{4 a^{2} h \,i^{3} x^{3}}{3 d f}+\frac{a b \,e^{2} i^{4} x^{2} \ln \left(c f x +c e \right)}{d \,f^{3}}-\frac{4 a b e h \,i^{3} x^{2} \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{7 a b e \,i^{4} x^{3}}{18 d \,f^{2}}+\frac{6 a b \,h^{2} i^{2} x^{2} \ln \left(c f x +c e \right)}{d f}-\frac{8 a b h \,i^{3} x^{3}}{9 d f}+\frac{b^{2} e^{4} i^{4} \ln \left(c f x +c e \right)^{3}}{3 d \,f^{5}}-\frac{4 b^{2} e^{3} h \,i^{3} \ln \left(c f x +c e \right)^{3}}{3 d \,f^{4}}-\frac{b^{2} e^{3} i^{4} x \ln \left(c f x +c e \right)^{2}}{d \,f^{4}}+\frac{2 b^{2} e^{2} h^{2} i^{2} \ln \left(c f x +c e \right)^{3}}{d \,f^{3}}+\frac{4 b^{2} e^{2} h \,i^{3} x \ln \left(c f x +c e \right)^{2}}{d \,f^{3}}-\frac{13 b^{2} e^{2} i^{4} x^{2} \ln \left(c f x +c e \right)}{12 d \,f^{3}}-\frac{4 b^{2} e \,h^{3} i \ln \left(c f x +c e \right)^{3}}{3 d \,f^{2}}-\frac{6 b^{2} e \,h^{2} i^{2} x \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}+\frac{10 b^{2} e h \,i^{3} x^{2} \ln \left(c f x +c e \right)}{3 d \,f^{2}}-\frac{37 b^{2} e \,i^{4} x^{3}}{216 d \,f^{2}}+\frac{b^{2} h^{4} \ln \left(c f x +c e \right)^{3}}{3 d f}+\frac{4 b^{2} h^{3} i x \ln \left(c f x +c e \right)^{2}}{d f}-\frac{3 b^{2} h^{2} i^{2} x^{2} \ln \left(c f x +c e \right)}{d f}+\frac{8 b^{2} h \,i^{3} x^{3}}{27 d f}+\frac{a^{2} e^{2} i^{4} x^{2}}{2 d \,f^{3}}-\frac{2 a^{2} e h \,i^{3} x^{2}}{d \,f^{2}}+\frac{3 a^{2} h^{2} i^{2} x^{2}}{d f}+\frac{a b \,e^{4} i^{4} \ln \left(c f x +c e \right)^{2}}{d \,f^{5}}-\frac{4 a b \,e^{3} h \,i^{3} \ln \left(c f x +c e \right)^{2}}{d \,f^{4}}-\frac{2 a b \,e^{3} i^{4} x \ln \left(c f x +c e \right)}{d \,f^{4}}+\frac{6 a b \,e^{2} h^{2} i^{2} \ln \left(c f x +c e \right)^{2}}{d \,f^{3}}+\frac{8 a b \,e^{2} h \,i^{3} x \ln \left(c f x +c e \right)}{d \,f^{3}}-\frac{13 a b \,e^{2} i^{4} x^{2}}{12 d \,f^{3}}-\frac{4 a b e \,h^{3} i \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}-\frac{12 a b e \,h^{2} i^{2} x \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{10 a b e h \,i^{3} x^{2}}{3 d \,f^{2}}+\frac{a b \,h^{4} \ln \left(c f x +c e \right)^{2}}{d f}+\frac{8 a b \,h^{3} i x \ln \left(c f x +c e \right)}{d f}-\frac{3 a b \,h^{2} i^{2} x^{2}}{d f}-\frac{25 b^{2} e^{4} i^{4} \ln \left(c f x +c e \right)^{2}}{12 d \,f^{5}}+\frac{22 b^{2} e^{3} h \,i^{3} \ln \left(c f x +c e \right)^{2}}{3 d \,f^{4}}+\frac{25 b^{2} e^{3} i^{4} x \ln \left(c f x +c e \right)}{6 d \,f^{4}}-\frac{9 b^{2} e^{2} h^{2} i^{2} \ln \left(c f x +c e \right)^{2}}{d \,f^{3}}-\frac{44 b^{2} e^{2} h \,i^{3} x \ln \left(c f x +c e \right)}{3 d \,f^{3}}+\frac{115 b^{2} e^{2} i^{4} x^{2}}{144 d \,f^{3}}+\frac{4 b^{2} e \,h^{3} i \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}+\frac{18 b^{2} e \,h^{2} i^{2} x \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{19 b^{2} e h \,i^{3} x^{2}}{9 d \,f^{2}}-\frac{8 b^{2} h^{3} i x \ln \left(c f x +c e \right)}{d f}+\frac{3 b^{2} h^{2} i^{2} x^{2}}{2 d f}+\frac{a^{2} e^{4} i^{4} \ln \left(c f x +c e \right)}{d \,f^{5}}-\frac{4 a^{2} e^{3} h \,i^{3} \ln \left(c f x +c e \right)}{d \,f^{4}}-\frac{a^{2} e^{3} i^{4} x}{d \,f^{4}}+\frac{6 a^{2} e^{2} h^{2} i^{2} \ln \left(c f x +c e \right)}{d \,f^{3}}+\frac{4 a^{2} e^{2} h \,i^{3} x}{d \,f^{3}}-\frac{4 a^{2} e \,h^{3} i \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{6 a^{2} e \,h^{2} i^{2} x}{d \,f^{2}}+\frac{a^{2} h^{4} \ln \left(c f x +c e \right)}{d f}+\frac{4 a^{2} h^{3} i x}{d f}-\frac{25 a b \,e^{4} i^{4} \ln \left(c f x +c e \right)}{6 d \,f^{5}}+\frac{44 a b \,e^{3} h \,i^{3} \ln \left(c f x +c e \right)}{3 d \,f^{4}}+\frac{25 a b \,e^{3} i^{4} x}{6 d \,f^{4}}-\frac{18 a b \,e^{2} h^{2} i^{2} \ln \left(c f x +c e \right)}{d \,f^{3}}-\frac{44 a b \,e^{2} h \,i^{3} x}{3 d \,f^{3}}+\frac{8 a b e \,h^{3} i \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{18 a b e \,h^{2} i^{2} x}{d \,f^{2}}-\frac{8 a b \,h^{3} i x}{d f}+\frac{415 b^{2} e^{4} i^{4} \ln \left(c f x +c e \right)}{72 d \,f^{5}}-\frac{170 b^{2} e^{3} h \,i^{3} \ln \left(c f x +c e \right)}{9 d \,f^{4}}-\frac{415 b^{2} e^{3} i^{4} x}{72 d \,f^{4}}+\frac{21 b^{2} e^{2} h^{2} i^{2} \ln \left(c f x +c e \right)}{d \,f^{3}}+\frac{170 b^{2} e^{2} h \,i^{3} x}{9 d \,f^{3}}-\frac{8 b^{2} e \,h^{3} i \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{21 b^{2} e \,h^{2} i^{2} x}{d \,f^{2}}+\frac{8 b^{2} h^{3} i x}{d f}-\frac{25 a^{2} e^{4} i^{4}}{12 d \,f^{5}}+\frac{22 a^{2} e^{3} h \,i^{3}}{3 d \,f^{4}}-\frac{9 a^{2} e^{2} h^{2} i^{2}}{d \,f^{3}}+\frac{4 a^{2} e \,h^{3} i}{d \,f^{2}}+\frac{415 a b \,e^{4} i^{4}}{72 d \,f^{5}}-\frac{170 a b \,e^{3} h \,i^{3}}{9 d \,f^{4}}+\frac{21 a b \,e^{2} h^{2} i^{2}}{d \,f^{3}}-\frac{8 a b e \,h^{3} i}{d \,f^{2}}-\frac{5845 b^{2} e^{4} i^{4}}{864 d \,f^{5}}+\frac{575 b^{2} e^{3} h \,i^{3}}{27 d \,f^{4}}-\frac{45 b^{2} e^{2} h^{2} i^{2}}{2 d \,f^{3}}+\frac{8 b^{2} e \,h^{3} i}{d \,f^{2}}"," ",0,"-1/f^4/d*a^2*e^3*i^4*x+4/f/d*a^2*h^3*i*x-415/72/f^4/d*b^2*e^3*i^4*x-1/8/f/d*a*b*i^4*x^4+3/f/d*a^2*h^2*i^2*x^2-1/3/f^2/d*a^2*e*i^4*x^3+1/2/f^3/d*a^2*e^2*i^4*x^2+3/2/f/d*b^2*h^2*i^2*x^2+4/3/f/d*a^2*h*i^3*x^3-37/216/f^2/d*b^2*i^4*x^3*e+115/144/f^3/d*b^2*i^4*x^2*e^2+8/27/f/d*b^2*h*i^3*x^3+8/f/d*b^2*h^3*i*x-1/8/f/d*b^2*i^4*ln(c*f*x+c*e)*x^4+1/4/f/d*b^2*i^4*ln(c*f*x+c*e)^2*x^4+1/f/d*a*b*h^4*ln(c*f*x+c*e)^2-25/12/f^5/d*b^2*e^4*i^4*ln(c*f*x+c*e)^2+415/72/f^5/d*b^2*e^4*i^4*ln(c*f*x+c*e)+1/3/f^5/d*b^2*e^4*i^4*ln(c*f*x+c*e)^3+1/f^5/d*a^2*e^4*i^4*ln(c*f*x+c*e)-25/12/f^5/d*a^2*e^4*i^4-5845/864/f^5/d*b^2*e^4*i^4+1/32/f/d*b^2*i^4*x^4+1/4/f/d*a^2*i^4*x^4+1/f/d*a^2*h^4*ln(c*f*x+c*e)+1/3/f/d*b^2*h^4*ln(c*f*x+c*e)^3+18/f^2/d*a*b*h^2*i^2*x*e-44/3/f^3/d*a*b*e^2*h*i^3*x+10/3/f^2/d*a*b*h*i^3*x^2*e+8/f^2/d*a*b*h^3*i*ln(c*f*x+c*e)*e-2/f^4/d*a*b*e^3*i^4*ln(c*f*x+c*e)*x+8/3/f/d*a*b*h*i^3*ln(c*f*x+c*e)*x^3-18/f^3/d*a*b*h^2*i^2*ln(c*f*x+c*e)*e^2-2/3/f^2/d*a*b*i^4*ln(c*f*x+c*e)*x^3*e+1/f^3/d*a*b*i^4*ln(c*f*x+c*e)*x^2*e^2+6/f^3/d*a*b*e^2*h^2*i^2*ln(c*f*x+c*e)^2-6/f^2/d*b^2*e*h^2*i^2*ln(c*f*x+c*e)^2*x+6/f/d*a*b*h^2*i^2*ln(c*f*x+c*e)*x^2+4/f^3/d*b^2*h*i^3*ln(c*f*x+c*e)^2*x*e^2+10/3/f^2/d*b^2*h*i^3*ln(c*f*x+c*e)*x^2*e-2/f^2/d*b^2*h*i^3*ln(c*f*x+c*e)^2*x^2*e+18/f^2/d*b^2*e*h^2*i^2*ln(c*f*x+c*e)*x+8/f/d*a*b*h^3*i*ln(c*f*x+c*e)*x-4/f^4/d*a*b*e^3*h*i^3*ln(c*f*x+c*e)^2-44/3/f^3/d*b^2*h*i^3*ln(c*f*x+c*e)*x*e^2+44/3/f^4/d*a*b*e^3*h*i^3*ln(c*f*x+c*e)-4/f^2/d*a*b*e*h^3*i*ln(c*f*x+c*e)^2-8/f^2/d*a*b*e*h^3*i+21/f^3/d*a*b*e^2*h^2*i^2-170/9/f^4/d*a*b*e^3*h*i^3-12/f^2/d*a*b*h^2*i^2*ln(c*f*x+c*e)*x*e+8/f^3/d*a*b*e^2*h*i^3*ln(c*f*x+c*e)*x+8/f^2/d*b^2*e*h^3*i-8/9/f/d*b^2*h*i^3*ln(c*f*x+c*e)*x^3-13/12/f^3/d*b^2*i^4*ln(c*f*x+c*e)*x^2*e^2-1/3/f^2/d*b^2*i^4*ln(c*f*x+c*e)^2*x^3*e-8/f^2/d*b^2*h^3*i*ln(c*f*x+c*e)*e-9/f^3/d*a^2*e^2*h^2*i^2-45/2/f^3/d*b^2*e^2*h^2*i^2+4/f^2/d*a^2*e*h^3*i+22/3/f^4/d*a^2*e^3*h*i^3-4/3/f^4/d*b^2*e^3*h*i^3*ln(c*f*x+c*e)^3+1/2/f^3/d*b^2*i^4*ln(c*f*x+c*e)^2*x^2*e^2-19/9/f^2/d*b^2*h*i^3*x^2*e+4/f^3/d*a^2*e^2*h*i^3*x-21/f^2/d*b^2*e*h^2*i^2*x+7/18/f^2/d*a*b*i^4*x^3*e-13/12/f^3/d*a*b*i^4*x^2*e^2-3/f/d*a*b*h^2*i^2*x^2+25/6/f^4/d*a*b*e^3*i^4*x-2/f^2/d*a^2*h*i^3*x^2*e-6/f^2/d*a^2*e*h^2*i^2*x-8/9/f/d*a*b*h*i^3*x^3-8/f/d*a*b*h^3*i*x+575/27/f^4/d*b^2*e^3*h*i^3+415/72/f^5/d*a*b*e^4*i^4+7/18/f^2/d*b^2*i^4*ln(c*f*x+c*e)*x^3*e+25/6/f^4/d*b^2*e^3*i^4*ln(c*f*x+c*e)*x-4/f^2/d*a*b*h*i^3*ln(c*f*x+c*e)*x^2*e-1/f^4/d*b^2*e^3*i^4*ln(c*f*x+c*e)^2*x-4/3/f^2/d*b^2*e*h^3*i*ln(c*f*x+c*e)^3+22/3/f^4/d*b^2*h*i^3*ln(c*f*x+c*e)^2*e^3+170/9/f^3/d*b^2*h*i^3*x*e^2+3/f/d*b^2*h^2*i^2*ln(c*f*x+c*e)^2*x^2-3/f/d*b^2*h^2*i^2*ln(c*f*x+c*e)*x^2-9/f^3/d*b^2*e^2*h^2*i^2*ln(c*f*x+c*e)^2+21/f^3/d*b^2*e^2*h^2*i^2*ln(c*f*x+c*e)+2/f^3/d*b^2*e^2*h^2*i^2*ln(c*f*x+c*e)^3+1/2/f/d*a*b*i^4*ln(c*f*x+c*e)*x^4-170/9/f^4/d*b^2*h*i^3*ln(c*f*x+c*e)*e^3+4/3/f/d*b^2*h*i^3*ln(c*f*x+c*e)^2*x^3+6/f^3/d*a^2*e^2*h^2*i^2*ln(c*f*x+c*e)+1/f^5/d*a*b*e^4*i^4*ln(c*f*x+c*e)^2+4/f/d*b^2*h^3*i*ln(c*f*x+c*e)^2*x+4/f^2/d*b^2*h^3*i*ln(c*f*x+c*e)^2*e-8/f/d*b^2*h^3*i*ln(c*f*x+c*e)*x-4/f^4/d*a^2*e^3*h*i^3*ln(c*f*x+c*e)-4/f^2/d*a^2*e*h^3*i*ln(c*f*x+c*e)-25/6/f^5/d*a*b*e^4*i^4*ln(c*f*x+c*e)","B"
184,1,1485,446,0.055000," ","int((i*x+h)^3*(a+b*ln(c*(f*x+e)))^2/(d*f*x+d*e),x)","\frac{b^{2} i^{3} x^{3} \ln \left(c f x +c e \right)^{2}}{3 d f}+\frac{2 a b \,i^{3} x^{3} \ln \left(c f x +c e \right)}{3 d f}-\frac{b^{2} e \,i^{3} x^{2} \ln \left(c f x +c e \right)^{2}}{2 d \,f^{2}}+\frac{3 b^{2} h \,i^{2} x^{2} \ln \left(c f x +c e \right)^{2}}{2 d f}-\frac{2 b^{2} i^{3} x^{3} \ln \left(c f x +c e \right)}{9 d f}+\frac{a^{2} i^{3} x^{3}}{3 d f}-\frac{a b e \,i^{3} x^{2} \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{3 a b h \,i^{2} x^{2} \ln \left(c f x +c e \right)}{d f}-\frac{2 a b \,i^{3} x^{3}}{9 d f}-\frac{b^{2} e^{3} i^{3} \ln \left(c f x +c e \right)^{3}}{3 d \,f^{4}}+\frac{b^{2} e^{2} h \,i^{2} \ln \left(c f x +c e \right)^{3}}{d \,f^{3}}+\frac{b^{2} e^{2} i^{3} x \ln \left(c f x +c e \right)^{2}}{d \,f^{3}}-\frac{b^{2} e \,h^{2} i \ln \left(c f x +c e \right)^{3}}{d \,f^{2}}-\frac{3 b^{2} e h \,i^{2} x \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}+\frac{5 b^{2} e \,i^{3} x^{2} \ln \left(c f x +c e \right)}{6 d \,f^{2}}+\frac{b^{2} h^{3} \ln \left(c f x +c e \right)^{3}}{3 d f}+\frac{3 b^{2} h^{2} i x \ln \left(c f x +c e \right)^{2}}{d f}-\frac{3 b^{2} h \,i^{2} x^{2} \ln \left(c f x +c e \right)}{2 d f}+\frac{2 b^{2} i^{3} x^{3}}{27 d f}-\frac{a^{2} e \,i^{3} x^{2}}{2 d \,f^{2}}+\frac{3 a^{2} h \,i^{2} x^{2}}{2 d f}-\frac{a b \,e^{3} i^{3} \ln \left(c f x +c e \right)^{2}}{d \,f^{4}}+\frac{3 a b \,e^{2} h \,i^{2} \ln \left(c f x +c e \right)^{2}}{d \,f^{3}}+\frac{2 a b \,e^{2} i^{3} x \ln \left(c f x +c e \right)}{d \,f^{3}}-\frac{3 a b e \,h^{2} i \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}-\frac{6 a b e h \,i^{2} x \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{5 a b e \,i^{3} x^{2}}{6 d \,f^{2}}+\frac{a b \,h^{3} \ln \left(c f x +c e \right)^{2}}{d f}+\frac{6 a b \,h^{2} i x \ln \left(c f x +c e \right)}{d f}-\frac{3 a b h \,i^{2} x^{2}}{2 d f}+\frac{11 b^{2} e^{3} i^{3} \ln \left(c f x +c e \right)^{2}}{6 d \,f^{4}}-\frac{9 b^{2} e^{2} h \,i^{2} \ln \left(c f x +c e \right)^{2}}{2 d \,f^{3}}-\frac{11 b^{2} e^{2} i^{3} x \ln \left(c f x +c e \right)}{3 d \,f^{3}}+\frac{3 b^{2} e \,h^{2} i \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}+\frac{9 b^{2} e h \,i^{2} x \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{19 b^{2} e \,i^{3} x^{2}}{36 d \,f^{2}}-\frac{6 b^{2} h^{2} i x \ln \left(c f x +c e \right)}{d f}+\frac{3 b^{2} h \,i^{2} x^{2}}{4 d f}-\frac{a^{2} e^{3} i^{3} \ln \left(c f x +c e \right)}{d \,f^{4}}+\frac{3 a^{2} e^{2} h \,i^{2} \ln \left(c f x +c e \right)}{d \,f^{3}}+\frac{a^{2} e^{2} i^{3} x}{d \,f^{3}}-\frac{3 a^{2} e \,h^{2} i \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{3 a^{2} e h \,i^{2} x}{d \,f^{2}}+\frac{a^{2} h^{3} \ln \left(c f x +c e \right)}{d f}+\frac{3 a^{2} h^{2} i x}{d f}+\frac{11 a b \,e^{3} i^{3} \ln \left(c f x +c e \right)}{3 d \,f^{4}}-\frac{9 a b \,e^{2} h \,i^{2} \ln \left(c f x +c e \right)}{d \,f^{3}}-\frac{11 a b \,e^{2} i^{3} x}{3 d \,f^{3}}+\frac{6 a b e \,h^{2} i \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{9 a b e h \,i^{2} x}{d \,f^{2}}-\frac{6 a b \,h^{2} i x}{d f}-\frac{85 b^{2} e^{3} i^{3} \ln \left(c f x +c e \right)}{18 d \,f^{4}}+\frac{21 b^{2} e^{2} h \,i^{2} \ln \left(c f x +c e \right)}{2 d \,f^{3}}+\frac{85 b^{2} e^{2} i^{3} x}{18 d \,f^{3}}-\frac{6 b^{2} e \,h^{2} i \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{21 b^{2} e h \,i^{2} x}{2 d \,f^{2}}+\frac{6 b^{2} h^{2} i x}{d f}+\frac{11 a^{2} e^{3} i^{3}}{6 d \,f^{4}}-\frac{9 a^{2} e^{2} h \,i^{2}}{2 d \,f^{3}}+\frac{3 a^{2} e \,h^{2} i}{d \,f^{2}}-\frac{85 a b \,e^{3} i^{3}}{18 d \,f^{4}}+\frac{21 a b \,e^{2} h \,i^{2}}{2 d \,f^{3}}-\frac{6 a b e \,h^{2} i}{d \,f^{2}}+\frac{575 b^{2} e^{3} i^{3}}{108 d \,f^{4}}-\frac{45 b^{2} e^{2} h \,i^{2}}{4 d \,f^{3}}+\frac{6 b^{2} e \,h^{2} i}{d \,f^{2}}"," ",0,"1/3/f/d*a^2*i^3*x^3+2/f^3/d*a*b*e^2*i^3*ln(c*f*x+c*e)*x-1/f^2/d*a*b*e*i^3*ln(c*f*x+c*e)*x^2+3/f^3/d*a*b*e^2*h*i^2*ln(c*f*x+c*e)^2-3/f^2/d*a*b*e*h^2*i*ln(c*f*x+c*e)^2+3/f/d*a*b*h*i^2*ln(c*f*x+c*e)*x^2+6/f/d*a*b*h^2*i*ln(c*f*x+c*e)*x+6/f^2/d*a*b*h^2*i*ln(c*f*x+c*e)*e-3/f^2/d*b^2*e*h*i^2*ln(c*f*x+c*e)^2*x+9/f^2/d*b^2*e*h*i^2*ln(c*f*x+c*e)*x-9/f^3/d*a*b*e^2*h*i^2*ln(c*f*x+c*e)+9/f^2/d*a*b*e*h*i^2*x-1/3/f^4/d*b^2*e^3*i^3*ln(c*f*x+c*e)^3+1/f/d*a*b*h^3*ln(c*f*x+c*e)^2+1/3/f/d*b^2*i^3*ln(c*f*x+c*e)^2*x^3+1/f^3/d*a^2*e^2*i^3*x+3/f/d*a^2*h^2*i*x+11/6/f^4/d*b^2*e^3*i^3*ln(c*f*x+c*e)^2+575/108/f^4/d*b^2*e^3*i^3+11/6/f^4/d*a^2*e^3*i^3-6/f^2/d*a*b*e*h^2*i+21/2/f^3/d*a*b*e^2*h*i^2-11/3/f^3/d*a*b*e^2*i^3*x-3/f^2/d*a^2*e*h*i^2*x-1/f^4/d*a*b*e^3*i^3*ln(c*f*x+c*e)^2+2/27/f/d*b^2*i^3*x^3+1/f/d*a^2*h^3*ln(c*f*x+c*e)+1/3/f/d*b^2*h^3*ln(c*f*x+c*e)^3-1/f^4/d*a^2*e^3*i^3*ln(c*f*x+c*e)-6/f/d*b^2*h^2*i*ln(c*f*x+c*e)*x-6/f^2/d*b^2*h^2*i*ln(c*f*x+c*e)*e+2/3/f/d*a*b*i^3*ln(c*f*x+c*e)*x^3-85/18/f^4/d*b^2*e^3*i^3*ln(c*f*x+c*e)-2/9/f/d*b^2*i^3*ln(c*f*x+c*e)*x^3-2/9/f/d*a*b*i^3*x^3+85/18/f^3/d*b^2*e^2*i^3*x+3/4/f/d*b^2*h*i^2*x^2-1/2/f^2/d*a^2*i^3*x^2*e+6/f/d*b^2*h^2*i*x+3/2/f/d*a^2*h*i^2*x^2-19/36/f^2/d*b^2*e*i^3*x^2-9/2/f^3/d*b^2*e^2*h*i^2*ln(c*f*x+c*e)^2-1/2/f^2/d*b^2*e*i^3*ln(c*f*x+c*e)^2*x^2+5/6/f^2/d*b^2*e*i^3*ln(c*f*x+c*e)*x^2-11/3/f^3/d*b^2*e^2*i^3*ln(c*f*x+c*e)*x+11/3/f^4/d*a*b*e^3*i^3*ln(c*f*x+c*e)+3/f/d*b^2*h^2*i*ln(c*f*x+c*e)^2*x+3/f^2/d*b^2*h^2*i*ln(c*f*x+c*e)^2*e-1/f^2/d*b^2*e*h^2*i*ln(c*f*x+c*e)^3+3/2/f/d*b^2*h*i^2*ln(c*f*x+c*e)^2*x^2-3/2/f/d*b^2*h*i^2*ln(c*f*x+c*e)*x^2+3/f^3/d*a^2*e^2*h*i^2*ln(c*f*x+c*e)-3/f^2/d*a^2*e*h^2*i*ln(c*f*x+c*e)+1/f^3/d*b^2*e^2*h*i^2*ln(c*f*x+c*e)^3+21/2/f^3/d*b^2*e^2*h*i^2*ln(c*f*x+c*e)+1/f^3/d*b^2*e^2*i^3*ln(c*f*x+c*e)^2*x-6/f/d*a*b*h^2*i*x-3/2/f/d*a*b*h*i^2*x^2+5/6/f^2/d*a*b*e*i^3*x^2-21/2/f^2/d*b^2*e*h*i^2*x-45/4/f^3/d*b^2*e^2*h*i^2+6/f^2/d*b^2*e*h^2*i-85/18/f^4/d*a*b*e^3*i^3-9/2/f^3/d*a^2*e^2*h*i^2+3/f^2/d*a^2*e*h^2*i-6/f^2/d*a*b*e*h*i^2*ln(c*f*x+c*e)*x","B"
185,1,825,230,0.049000," ","int((i*x+h)^2*(a+b*ln(c*(f*x+e)))^2/(d*f*x+d*e),x)","\frac{b^{2} i^{2} x^{2} \ln \left(c f x +c e \right)^{2}}{2 d f}+\frac{a b \,i^{2} x^{2} \ln \left(c f x +c e \right)}{d f}+\frac{b^{2} e^{2} i^{2} \ln \left(c f x +c e \right)^{3}}{3 d \,f^{3}}-\frac{2 b^{2} e h i \ln \left(c f x +c e \right)^{3}}{3 d \,f^{2}}-\frac{b^{2} e \,i^{2} x \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}+\frac{b^{2} h^{2} \ln \left(c f x +c e \right)^{3}}{3 d f}+\frac{2 b^{2} h i x \ln \left(c f x +c e \right)^{2}}{d f}-\frac{b^{2} i^{2} x^{2} \ln \left(c f x +c e \right)}{2 d f}+\frac{a^{2} i^{2} x^{2}}{2 d f}+\frac{a b \,e^{2} i^{2} \ln \left(c f x +c e \right)^{2}}{d \,f^{3}}-\frac{2 a b e h i \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}-\frac{2 a b e \,i^{2} x \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{a b \,h^{2} \ln \left(c f x +c e \right)^{2}}{d f}+\frac{4 a b h i x \ln \left(c f x +c e \right)}{d f}-\frac{a b \,i^{2} x^{2}}{2 d f}-\frac{3 b^{2} e^{2} i^{2} \ln \left(c f x +c e \right)^{2}}{2 d \,f^{3}}+\frac{2 b^{2} e h i \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}+\frac{3 b^{2} e \,i^{2} x \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{4 b^{2} h i x \ln \left(c f x +c e \right)}{d f}+\frac{b^{2} i^{2} x^{2}}{4 d f}+\frac{a^{2} e^{2} i^{2} \ln \left(c f x +c e \right)}{d \,f^{3}}-\frac{2 a^{2} e h i \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{a^{2} e \,i^{2} x}{d \,f^{2}}+\frac{a^{2} h^{2} \ln \left(c f x +c e \right)}{d f}+\frac{2 a^{2} h i x}{d f}-\frac{3 a b \,e^{2} i^{2} \ln \left(c f x +c e \right)}{d \,f^{3}}+\frac{4 a b e h i \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{3 a b e \,i^{2} x}{d \,f^{2}}-\frac{4 a b h i x}{d f}+\frac{7 b^{2} e^{2} i^{2} \ln \left(c f x +c e \right)}{2 d \,f^{3}}-\frac{4 b^{2} e h i \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{7 b^{2} e \,i^{2} x}{2 d \,f^{2}}+\frac{4 b^{2} h i x}{d f}-\frac{3 a^{2} e^{2} i^{2}}{2 d \,f^{3}}+\frac{2 a^{2} e h i}{d \,f^{2}}+\frac{7 a b \,e^{2} i^{2}}{2 d \,f^{3}}-\frac{4 a b e h i}{d \,f^{2}}-\frac{15 b^{2} e^{2} i^{2}}{4 d \,f^{3}}+\frac{4 b^{2} e h i}{d \,f^{2}}"," ",0,"1/4/f/d*b^2*i^2*x^2-3/2/f^3/d*b^2*e^2*i^2*ln(c*f*x+c*e)^2+1/3/f^3/d*b^2*e^2*i^2*ln(c*f*x+c*e)^3+7/2/f^3/d*b^2*e^2*i^2*ln(c*f*x+c*e)+1/f/d*a*b*h^2*ln(c*f*x+c*e)^2+1/2/f/d*b^2*i^2*ln(c*f*x+c*e)^2*x^2+1/f^3/d*a^2*e^2*i^2*ln(c*f*x+c*e)-15/4/f^3/d*b^2*e^2*i^2-3/2/f^3/d*a^2*e^2*i^2-1/f^2/d*a^2*e*i^2*x+2/f/d*a^2*h*i*x-1/2/f/d*b^2*i^2*ln(c*f*x+c*e)*x^2-2/f^2/d*a*b*e*h*i*ln(c*f*x+c*e)^2-2/f^2/d*a*b*e*i^2*ln(c*f*x+c*e)*x+4/f/d*a*b*h*i*ln(c*f*x+c*e)*x+4/f^2/d*a*b*h*i*ln(c*f*x+c*e)*e-4/f^2/d*a*b*e*h*i+1/2/f/d*a^2*i^2*x^2+1/3/f/d*b^2*h^2*ln(c*f*x+c*e)^3+1/f/d*a^2*h^2*ln(c*f*x+c*e)+4/f/d*b^2*h*i*x-1/2/f/d*a*b*i^2*x^2-7/2/f^2/d*b^2*e*i^2*x+4/f^2/d*b^2*e*h*i+7/2/f^3/d*a*b*e^2*i^2+2/f^2/d*a^2*e*h*i-4/f/d*b^2*h*i*ln(c*f*x+c*e)*x-4/f^2/d*b^2*h*i*ln(c*f*x+c*e)*e+3/f^2/d*a*b*e*i^2*x-4/f/d*a*b*h*i*x+2/f^2/d*b^2*h*i*ln(c*f*x+c*e)^2*e+2/f/d*b^2*h*i*ln(c*f*x+c*e)^2*x+3/f^2/d*b^2*e*i^2*ln(c*f*x+c*e)*x+1/f^3/d*a*b*e^2*i^2*ln(c*f*x+c*e)^2-2/3/f^2/d*b^2*e*h*i*ln(c*f*x+c*e)^3+1/f/d*a*b*i^2*ln(c*f*x+c*e)*x^2-3/f^3/d*a*b*e^2*i^2*ln(c*f*x+c*e)-2/f^2/d*a^2*e*h*i*ln(c*f*x+c*e)-1/f^2/d*b^2*e*i^2*ln(c*f*x+c*e)^2*x","B"
186,1,341,111,0.047000," ","int((i*x+h)*(a+b*ln(c*(f*x+e)))^2/(d*f*x+d*e),x)","-\frac{b^{2} e i \ln \left(c f x +c e \right)^{3}}{3 d \,f^{2}}+\frac{b^{2} h \ln \left(c f x +c e \right)^{3}}{3 d f}+\frac{b^{2} i x \ln \left(c f x +c e \right)^{2}}{d f}-\frac{a b e i \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}+\frac{a b h \ln \left(c f x +c e \right)^{2}}{d f}+\frac{2 a b i x \ln \left(c f x +c e \right)}{d f}+\frac{b^{2} e i \ln \left(c f x +c e \right)^{2}}{d \,f^{2}}-\frac{2 b^{2} i x \ln \left(c f x +c e \right)}{d f}-\frac{a^{2} e i \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{a^{2} h \ln \left(c f x +c e \right)}{d f}+\frac{a^{2} i x}{d f}+\frac{2 a b e i \ln \left(c f x +c e \right)}{d \,f^{2}}-\frac{2 a b i x}{d f}-\frac{2 b^{2} e i \ln \left(c f x +c e \right)}{d \,f^{2}}+\frac{2 b^{2} i x}{d f}+\frac{a^{2} e i}{d \,f^{2}}-\frac{2 a b e i}{d \,f^{2}}+\frac{2 b^{2} e i}{d \,f^{2}}"," ",0,"-1/f^2/d*a^2*e*i*ln(c*f*x+c*e)+1/f/d*a^2*h*ln(c*f*x+c*e)+1/f/d*a^2*i*x+1/f^2/d*a^2*e*i-1/f^2/d*a*b*e*i*ln(c*f*x+c*e)^2+1/f/d*a*b*h*ln(c*f*x+c*e)^2+2/f/d*a*b*i*ln(c*f*x+c*e)*x+2/f^2/d*a*b*i*ln(c*f*x+c*e)*e-2*a*b*i*x/d/f-2/f^2/d*a*b*e*i-1/3/f^2/d*b^2*e*i*ln(c*f*x+c*e)^3+1/3/f/d*b^2*h*ln(c*f*x+c*e)^3+1/f/d*b^2*i*ln(c*f*x+c*e)^2*x+1/f^2/d*b^2*i*ln(c*f*x+c*e)^2*e-2/f/d*b^2*i*ln(c*f*x+c*e)*x-2/f^2/d*b^2*i*ln(c*f*x+c*e)*e+2*b^2*i*x/d/f+2/f^2/d*b^2*e*i","B"
187,1,63,25,0.050000," ","int((a+b*ln(c*(f*x+e)))^2/(d*f*x+d*e),x)","\frac{b^{2} \ln \left(c f x +c e \right)^{3}}{3 d f}+\frac{a b \ln \left(c f x +c e \right)^{2}}{d f}+\frac{a^{2} \ln \left(c f x +c e \right)}{d f}"," ",0,"1/f/d*a^2*ln(c*f*x+c*e)+1/f/d*a*b*ln(c*f*x+c*e)^2+1/3/f/d*b^2*ln(c*f*x+c*e)^3","B"
188,1,383,140,0.078000," ","int((a+b*ln(c*(f*x+e)))^2/(d*f*x+d*e)/(i*x+h),x)","\frac{b^{2} \ln \left(\frac{\left(c f x +c e \right) i}{-c e i +c f h}+1\right) \ln \left(c f x +c e \right)^{2}}{\left(e i -f h \right) d}-\frac{b^{2} \ln \left(c f x +c e \right)^{3}}{3 \left(e i -f h \right) d}+\frac{2 a b \ln \left(\frac{-c e i +c f h +\left(c f x +c e \right) i}{-c e i +c f h}\right) \ln \left(c f x +c e \right)}{\left(e i -f h \right) d}-\frac{a b \ln \left(c f x +c e \right)^{2}}{\left(e i -f h \right) d}+\frac{2 b^{2} \polylog \left(2, -\frac{\left(c f x +c e \right) i}{-c e i +c f h}\right) \ln \left(c f x +c e \right)}{\left(e i -f h \right) d}+\frac{a^{2} \ln \left(-c e i +c f h +\left(c f x +c e \right) i \right)}{\left(e i -f h \right) d}-\frac{a^{2} \ln \left(c f x +c e \right)}{\left(e i -f h \right) d}+\frac{2 a b \dilog \left(\frac{-c e i +c f h +\left(c f x +c e \right) i}{-c e i +c f h}\right)}{\left(e i -f h \right) d}-\frac{2 b^{2} \polylog \left(3, -\frac{\left(c f x +c e \right) i}{-c e i +c f h}\right)}{\left(e i -f h \right) d}"," ",0,"-1/d*a^2/(e*i-f*h)*ln(c*f*x+c*e)+1/d*a^2/(e*i-f*h)*ln(-c*e*i+c*f*h+(c*f*x+c*e)*i)-1/3/d*b^2/(e*i-f*h)*ln(c*f*x+c*e)^3+1/d*b^2/(e*i-f*h)*ln(c*f*x+c*e)^2*ln(1+i/(-c*e*i+c*f*h)*(c*f*x+c*e))+2/d*b^2/(e*i-f*h)*ln(c*f*x+c*e)*polylog(2,-i/(-c*e*i+c*f*h)*(c*f*x+c*e))-2/d*b^2/(e*i-f*h)*polylog(3,-i/(-c*e*i+c*f*h)*(c*f*x+c*e))-1/d*a*b*ln(c*f*x+c*e)^2/(e*i-f*h)+2/d*a*b/(e*i-f*h)*dilog((-c*e*i+c*f*h+(c*f*x+c*e)*i)/(-c*e*i+c*f*h))+2/d*a*b/(e*i-f*h)*ln(c*f*x+c*e)*ln((-c*e*i+c*f*h+(c*f*x+c*e)*i)/(-c*e*i+c*f*h))","B"
189,0,0,271,1.040000," ","int((a+b*ln(c*(f*x+e)))^2/(d*f*x+d*e)/(i*x+h)^2,x)","\int \frac{\left(b \ln \left(\left(f x +e \right) c \right)+a \right)^{2}}{\left(d f x +d e \right) \left(i x +h \right)^{2}}\, dx"," ",0,"int((a+b*ln(c*(f*x+e)))^2/(d*f*x+d*e)/(i*x+h)^2,x)","F"
190,0,0,480,1.136000," ","int((b*ln((f*x+e)*c)+a)^2/(d*f*x+d*e)/(i*x+h)^3,x)","\int \frac{\left(b \ln \left(\left(f x +e \right) c \right)+a \right)^{2}}{\left(d f x +d e \right) \left(i x +h \right)^{3}}\, dx"," ",0,"int((b*ln((f*x+e)*c)+a)^2/(d*f*x+d*e)/(i*x+h)^3,x)","F"
191,0,0,233,0.642000," ","int((i*x+h)^4/(d*f*x+d*e)/(b*ln((f*x+e)*c)+a),x)","\int \frac{\left(i x +h \right)^{4}}{\left(d f x +d e \right) \left(b \ln \left(\left(f x +e \right) c \right)+a \right)}\, dx"," ",0,"int((i*x+h)^4/(d*f*x+d*e)/(b*ln((f*x+e)*c)+a),x)","F"
192,0,0,179,0.628000," ","int((i*x+h)^3/(d*f*x+d*e)/(b*ln((f*x+e)*c)+a),x)","\int \frac{\left(i x +h \right)^{3}}{\left(d f x +d e \right) \left(b \ln \left(\left(f x +e \right) c \right)+a \right)}\, dx"," ",0,"int((i*x+h)^3/(d*f*x+d*e)/(b*ln((f*x+e)*c)+a),x)","F"
193,0,0,125,0.627000," ","int((i*x+h)^2/(d*f*x+d*e)/(b*ln((f*x+e)*c)+a),x)","\int \frac{\left(i x +h \right)^{2}}{\left(d f x +d e \right) \left(b \ln \left(\left(f x +e \right) c \right)+a \right)}\, dx"," ",0,"int((i*x+h)^2/(d*f*x+d*e)/(b*ln((f*x+e)*c)+a),x)","F"
194,0,0,71,0.489000," ","int((i*x+h)/(d*f*x+d*e)/(b*ln((f*x+e)*c)+a),x)","\int \frac{i x +h}{\left(d f x +d e \right) \left(b \ln \left(\left(f x +e \right) c \right)+a \right)}\, dx"," ",0,"int((i*x+h)/(d*f*x+d*e)/(b*ln((f*x+e)*c)+a),x)","F"
195,1,25,23,0.047000," ","int(1/(d*f*x+d*e)/(b*ln((f*x+e)*c)+a),x)","\frac{\ln \left(b \ln \left(c f x +c e \right)+a \right)}{b d f}"," ",0,"1/f/d*ln(a+b*ln(c*f*x+c*e))/b","A"
196,0,0,71,0.682000," ","int(1/(d*f*x+d*e)/(i*x+h)/(b*ln((f*x+e)*c)+a),x)","\int \frac{1}{\left(d f x +d e \right) \left(i x +h \right) \left(b \ln \left(\left(f x +e \right) c \right)+a \right)}\, dx"," ",0,"int(1/(d*f*x+d*e)/(i*x+h)/(b*ln((f*x+e)*c)+a),x)","F"
197,0,0,113,0.672000," ","int(1/(d*f*x+d*e)/(i*x+h)^2/(b*ln((f*x+e)*c)+a),x)","\int \frac{1}{\left(d f x +d e \right) \left(i x +h \right)^{2} \left(b \ln \left(\left(f x +e \right) c \right)+a \right)}\, dx"," ",0,"int(1/(d*f*x+d*e)/(i*x+h)^2/(b*ln((f*x+e)*c)+a),x)","F"
198,0,0,405,0.675000," ","int((g*x+f)^(5/2)*(b*ln(c*(e*x+d)^n)+a)/(e*x+d),x)","\int \frac{\left(g x +f \right)^{\frac{5}{2}} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)}{e x +d}\, dx"," ",0,"int((g*x+f)^(5/2)*(b*ln(c*(e*x+d)^n)+a)/(e*x+d),x)","F"
199,0,0,345,0.633000," ","int((g*x+f)^(3/2)*(b*ln(c*(e*x+d)^n)+a)/(e*x+d),x)","\int \frac{\left(g x +f \right)^{\frac{3}{2}} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)}{e x +d}\, dx"," ",0,"int((g*x+f)^(3/2)*(b*ln(c*(e*x+d)^n)+a)/(e*x+d),x)","F"
200,0,0,289,0.694000," ","int((g*x+f)^(1/2)*(b*ln(c*(e*x+d)^n)+a)/(e*x+d),x)","\int \frac{\sqrt{g x +f}\, \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)}{e x +d}\, dx"," ",0,"int((g*x+f)^(1/2)*(b*ln(c*(e*x+d)^n)+a)/(e*x+d),x)","F"
201,0,0,210,0.635000," ","int((b*ln(c*(e*x+d)^n)+a)/(e*x+d)/(g*x+f)^(1/2),x)","\int \frac{b \ln \left(c \left(e x +d \right)^{n}\right)+a}{\left(e x +d \right) \sqrt{g x +f}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)/(e*x+d)/(g*x+f)^(1/2),x)","F"
202,0,0,282,0.657000," ","int((b*ln(c*(e*x+d)^n)+a)/(e*x+d)/(g*x+f)^(3/2),x)","\int \frac{b \ln \left(c \left(e x +d \right)^{n}\right)+a}{\left(e x +d \right) \left(g x +f \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)/(e*x+d)/(g*x+f)^(3/2),x)","F"
203,0,0,338,0.629000," ","int((b*ln(c*(e*x+d)^n)+a)/(e*x+d)/(g*x+f)^(5/2),x)","\int \frac{b \ln \left(c \left(e x +d \right)^{n}\right)+a}{\left(e x +d \right) \left(g x +f \right)^{\frac{5}{2}}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)/(e*x+d)/(g*x+f)^(5/2),x)","F"
204,-2,0,309,180.000000," ","int((e*x+d)^(3/2)*ln(b*x+a)/(b*x+a),x)","\int \frac{\left(e x +d \right)^{\frac{3}{2}} \ln \left(b x +a \right)}{b x +a}\, dx"," ",0,"int((e*x+d)^(3/2)*ln(b*x+a)/(b*x+a),x)","F"
205,0,0,263,0.546000," ","int((e*x+d)^(1/2)*ln(b*x+a)/(b*x+a),x)","\int \frac{\sqrt{e x +d}\, \ln \left(b x +a \right)}{b x +a}\, dx"," ",0,"int((e*x+d)^(1/2)*ln(b*x+a)/(b*x+a),x)","F"
206,0,0,196,0.514000," ","int(ln(b*x+a)/(b*x+a)/(e*x+d)^(1/2),x)","\int \frac{\ln \left(b x +a \right)}{\left(b x +a \right) \sqrt{e x +d}}\, dx"," ",0,"int(ln(b*x+a)/(b*x+a)/(e*x+d)^(1/2),x)","F"
207,0,0,258,0.501000," ","int(ln(b*x+a)/(b*x+a)/(e*x+d)^(3/2),x)","\int \frac{\ln \left(b x +a \right)}{\left(b x +a \right) \left(e x +d \right)^{\frac{3}{2}}}\, dx"," ",0,"int(ln(b*x+a)/(b*x+a)/(e*x+d)^(3/2),x)","F"
208,0,0,304,0.497000," ","int(ln(b*x+a)/(b*x+a)/(e*x+d)^(5/2),x)","\int \frac{\ln \left(b x +a \right)}{\left(b x +a \right) \left(e x +d \right)^{\frac{5}{2}}}\, dx"," ",0,"int(ln(b*x+a)/(b*x+a)/(e*x+d)^(5/2),x)","F"
209,0,0,34,0.880000," ","int((i*x+h)^q*(b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e),x)","\int \frac{\left(b \ln \left(\left(f x +e \right) c \right)+a \right)^{p} \left(i x +h \right)^{q}}{d f x +d e}\, dx"," ",0,"int((i*x+h)^q*(b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e),x)","F"
210,0,0,315,0.499000," ","int((i*x+h)^3*(b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e),x)","\int \frac{\left(i x +h \right)^{3} \left(b \ln \left(\left(f x +e \right) c \right)+a \right)^{p}}{d f x +d e}\, dx"," ",0,"int((i*x+h)^3*(b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e),x)","F"
211,0,0,217,0.483000," ","int((i*x+h)^2*(b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e),x)","\int \frac{\left(i x +h \right)^{2} \left(b \ln \left(\left(f x +e \right) c \right)+a \right)^{p}}{d f x +d e}\, dx"," ",0,"int((i*x+h)^2*(b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e),x)","F"
212,0,0,119,0.341000," ","int((i*x+h)*(b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e),x)","\int \frac{\left(i x +h \right) \left(b \ln \left(\left(f x +e \right) c \right)+a \right)^{p}}{d f x +d e}\, dx"," ",0,"int((i*x+h)*(b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e),x)","F"
213,1,32,31,0.048000," ","int((b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e),x)","\frac{\left(b \ln \left(\left(f x +e \right) c \right)+a \right)^{p +1}}{\left(p +1\right) b d f}"," ",0,"(b*ln((f*x+e)*c)+a)^(p+1)/b/d/f/(p+1)","A"
214,0,0,34,0.496000," ","int((b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e)/(i*x+h),x)","\int \frac{\left(b \ln \left(\left(f x +e \right) c \right)+a \right)^{p}}{\left(d f x +d e \right) \left(i x +h \right)}\, dx"," ",0,"int((b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e)/(i*x+h),x)","F"
215,0,0,34,0.498000," ","int((b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e)/(i*x+h)^2,x)","\int \frac{\left(b \ln \left(\left(f x +e \right) c \right)+a \right)^{p}}{\left(d f x +d e \right) \left(i x +h \right)^{2}}\, dx"," ",0,"int((b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e)/(i*x+h)^2,x)","F"
216,0,0,34,0.499000," ","int((b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e)/(i*x+h)^3,x)","\int \frac{\left(b \ln \left(\left(f x +e \right) c \right)+a \right)^{p}}{\left(d f x +d e \right) \left(i x +h \right)^{3}}\, dx"," ",0,"int((b*ln((f*x+e)*c)+a)^p/(d*f*x+d*e)/(i*x+h)^3,x)","F"
217,1,2801,384,0.306000," ","int((i*x+h)^3*(b*ln(c*(e*x+d)^n)+a)/(g*x+f),x)","\text{output too large to display}"," ",0,"1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*i^3/g^3*f^2*x-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^4*ln(g*x+f)*f^3*i^3+3*b*n/g^2*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*f*h^2*i-3*b/e*n/g^2*i^2*d*ln(d*g-e*f+(g*x+f)*e)*f*h+3/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*ln(g*x+f)*f*h^2*i+3*b*n/g^2*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*f*h^2*i+b*n/g^4*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*f^3*i^3+3*b*n/g^2*i^2*h*x*f+1/6*b/e*n/g*i^3*d*x^2-1/3*b/e^2*n/g*i^3*d^2*x-3/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*i/g*h^2*x+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^4*ln(g*x+f)*f^3*i^3-3*b*n/g^3*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*f^2*h*i^2+1/3*b/e^3*n/g*i^3*d^3*ln(d*g-e*f+(g*x+f)*e)+1/6*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*i^3/g*x^3+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g*ln(g*x+f)*h^3+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*i^3/g^2*x^2*f-3/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*i^2/g*x^2*h+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g*ln(g*x+f)*h^3-3/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*i/g*h^2*x-1/2*b/e*n/g^2*i^3*d*x*f+3/2*b/e*n/g^2*i^2*d*h*f+1/2*b/e^2*n/g^2*i^3*d^2*ln(d*g-e*f+(g*x+f)*e)*f+b/e*n/g^3*i^3*d*ln(d*g-e*f+(g*x+f)*e)*f^2-3*b*n/g^3*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*f^2*h*i^2+3/2*b/e*n/g*i^2*d*h*x+3*b/e*n/g*i*d*ln(d*g-e*f+(g*x+f)*e)*h^2-3/2*b/e^2*n/g*i^2*d^2*ln(d*g-e*f+(g*x+f)*e)*h-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^4*ln(g*x+f)*f^3*i^3-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*i^3/g^2*x^2*f+1/3*a*i^3/g*x^3+a/g*ln(g*x+f)*h^3+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^4*ln(g*x+f)*f^3*i^3-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*i^3/g^3*f^2*x-2/3*b/e*n/g^3*i^3*d*f^2-1/6*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*i^3/g*x^3-1/3*b/e^2*n/g^2*i^3*d^2*f+1/6*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*i^3/g*x^3-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*i^3/g^2*x^2*f-3*b*ln(c)/g^2*ln(g*x+f)*f*h^2*i+3*b*ln(c)/g^3*ln(g*x+f)*f^2*h*i^2-3*b*ln(c)*i^2/g^2*f*h*x-1/9*b*n/g*i^3*x^3+3/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*i^2/g^2*f*h*x-3/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^3*ln(g*x+f)*f^2*h*i^2+3/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*i/g*h^2*x-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g*ln(g*x+f)*h^3-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g*ln(g*x+f)*h^3-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*i^3/g^3*f^2*x+1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*i^3/g^2*x^2*f-3/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*ln(g*x+f)*f*h^2*i+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*i^3/g^3*f^2*x-3*b*ln((e*x+d)^n)*i^2/g^2*f*h*x+a*i^3/g^3*f^2*x+3*a*i/g*h^2*x-a/g^4*ln(g*x+f)*f^3*i^3+1/3*b*ln(c)*i^3/g*x^3+b*ln(c)/g*ln(g*x+f)*h^3+3/2*a*i^2/g*x^2*h-49/36*b*n/g^4*i^3*f^3-b*n/g*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*h^3-1/2*a*i^3/g^2*x^2*f-b*n/g^3*i^3*x*f^2-3*b*n/g*i*h^2*x+b*n/g^4*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*f^3*i^3-b*n/g*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*h^3-1/2*b*ln((e*x+d)^n)*i^3/g^2*x^2*f-3/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*i^2/g*x^2*h-3/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^3*ln(g*x+f)*f^2*h*i^2+3/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^3*ln(g*x+f)*f^2*h*i^2+1/3*b*ln((e*x+d)^n)*i^3/g*x^3+b*ln((e*x+d)^n)/g*ln(g*x+f)*h^3+3*b*ln((e*x+d)^n)/g^3*ln(g*x+f)*f^2*h*i^2-3/4*b*n/g*i^2*h*x^2+1/4*b*n/g^2*i^3*x^2*f-3/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*i^2/g^2*f*h*x-3*b*n/g^2*i*h^2*f+15/4*b*n/g^3*i^2*h*f^2+3/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^3*ln(g*x+f)*f^2*h*i^2-3*a*i^2/g^2*f*h*x+3*a/g^3*ln(g*x+f)*f^2*h*i^2-3*a/g^2*ln(g*x+f)*f*h^2*i-1/2*b*ln(c)*i^3/g^2*x^2*f+3/2*b*ln(c)*i^2/g*x^2*h+b*ln(c)*i^3/g^3*f^2*x+3*b*ln(c)*i/g*h^2*x-b*ln(c)/g^4*ln(g*x+f)*f^3*i^3+3/2*b*ln((e*x+d)^n)*i^2/g*x^2*h+b*ln((e*x+d)^n)*i^3/g^3*f^2*x+3*b*ln((e*x+d)^n)*i/g*h^2*x-b*ln((e*x+d)^n)/g^4*ln(g*x+f)*f^3*i^3-1/6*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*i^3/g*x^3-3/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*ln(g*x+f)*f*h^2*i+3/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*i/g*h^2*x+3/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*i^2/g*x^2*h+3/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*i^2/g^2*f*h*x-3*b*ln((e*x+d)^n)/g^2*ln(g*x+f)*f*h^2*i+3/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*ln(g*x+f)*f*h^2*i-3/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*i^2/g^2*f*h*x+3/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*i^2/g*x^2*h","C"
218,1,1605,233,0.282000," ","int((i*x+h)^2*(b*ln(c*(e*x+d)^n)+a)/(g*x+f),x)","\frac{2 a h i x}{g}+\frac{a \,f^{2} i^{2} \ln \left(g x +f \right)}{g^{3}}-\frac{a f \,i^{2} x}{g^{2}}+\frac{b \,i^{2} x^{2} \ln \left(c \right)}{2 g}+\frac{b \,h^{2} \ln \left(c \right) \ln \left(g x +f \right)}{g}-\frac{b \,i^{2} n \,x^{2}}{4 g}+\frac{5 b \,f^{2} i^{2} n}{4 g^{3}}-\frac{b \,h^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g}-\frac{b \,f^{2} i^{2} n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g^{3}}+\frac{b d f \,i^{2} n}{2 e \,g^{2}}+\frac{2 b d h i n \ln \left(d g -e f +\left(g x +f \right) e \right)}{e g}-\frac{b d f \,i^{2} n \ln \left(d g -e f +\left(g x +f \right) e \right)}{e \,g^{2}}+\frac{2 b f h i n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g^{2}}-\frac{2 b f h i \ln \left(c \right) \ln \left(g x +f \right)}{g^{2}}+\frac{b d \,i^{2} n x}{2 e g}-\frac{b \,d^{2} i^{2} n \ln \left(d g -e f +\left(g x +f \right) e \right)}{2 e^{2} g}+\frac{a \,i^{2} x^{2}}{2 g}+\frac{a \,h^{2} \ln \left(g x +f \right)}{g}+\frac{i \pi  b f h i \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g^{2}}-\frac{i \pi  b \,f^{2} i^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 g^{3}}-\frac{2 b f h i n}{g^{2}}+\frac{i \pi  b \,i^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g}+\frac{i \pi  b \,i^{2} x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g}-\frac{i \pi  b \,f^{2} i^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g^{3}}+\frac{i \pi  b f \,i^{2} x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 g^{2}}+\frac{i \pi  b \,h^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g}+\frac{b \,h^{2} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{b \,i^{2} x^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 g}-\frac{b \,f^{2} i^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g^{3}}+\frac{i \pi  b \,h^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g}-\frac{i \pi  b h i x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{g}-\frac{b \,h^{2} n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}+\frac{b f \,i^{2} n x}{g^{2}}-\frac{2 b h i n x}{g}-\frac{b f \,i^{2} x \ln \left(c \right)}{g^{2}}+\frac{2 b h i x \ln \left(c \right)}{g}+\frac{b \,f^{2} i^{2} \ln \left(c \right) \ln \left(g x +f \right)}{g^{3}}-\frac{2 a f h i \ln \left(g x +f \right)}{g^{2}}-\frac{2 b f h i \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g^{2}}-\frac{i \pi  b f h i \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{g^{2}}-\frac{i \pi  b f h i \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{g^{2}}+\frac{i \pi  b f \,i^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 g^{2}}-\frac{i \pi  b h i x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{g}-\frac{i \pi  b \,i^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 g}-\frac{i \pi  b \,i^{2} x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 g}-\frac{i \pi  b \,h^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g}-\frac{b f \,i^{2} x \ln \left(\left(e x +d \right)^{n}\right)}{g^{2}}+\frac{2 b h i x \ln \left(\left(e x +d \right)^{n}\right)}{g}+\frac{b \,f^{2} i^{2} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g^{3}}+\frac{2 b f h i n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g^{2}}+\frac{i \pi  b \,f^{2} i^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{3}}+\frac{i \pi  b \,f^{2} i^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{3}}+\frac{i \pi  b f h i \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{g^{2}}-\frac{i \pi  b f \,i^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g^{2}}-\frac{i \pi  b f \,i^{2} x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g^{2}}-\frac{i \pi  b \,h^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 g}+\frac{i \pi  b h i x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{g}+\frac{i \pi  b h i x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{g}"," ",0,"2*a*i/g*h*x+a/g^3*ln(g*x+f)*f^2*i^2-a*i^2/g^2*f*x+1/2*b*ln(c)*i^2/g*x^2+b*ln(c)/g*ln(g*x+f)*h^2-I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*i/g*h*x-1/4*b*n/g*i^2*x^2-b*n/g*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*h^2+5/4*b*n/g^3*f^2*i^2+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g*ln(g*x+f)*h^2+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*i^2/g^2*f*x+2*b*n/g^2*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*f*h*i-b*n/g^3*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*f^2*i^2+1/2*b/e*n/g^2*i^2*d*f+2*b/e*n/g*i*d*ln(d*g-e*f+(g*x+f)*e)*h-b/e*n/g^2*i^2*d*ln(d*g-e*f+(g*x+f)*e)*f+2*b*n/g^2*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*f*h*i+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g*ln(g*x+f)*h^2-I*b*Pi*csgn(I*c*(e*x+d)^n)^3*i/g*h*x-2*b*ln(c)/g^2*ln(g*x+f)*f*h*i+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*i^2/g*x^2-I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*ln(g*x+f)*f*h*i+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*i^2/g^2*f*x+1/2*b/e*n/g*i^2*d*x-1/2*b/e^2*n/g*i^2*d^2*ln(d*g-e*f+(g*x+f)*e)+1/2*a*i^2/g*x^2+a/g*ln(g*x+f)*h^2-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^3*ln(g*x+f)*f^2*i^2+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*i^2/g*x^2+I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*i/g*h*x+I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*ln(g*x+f)*f*h*i-I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*ln(g*x+f)*f*h*i-2*b*n/g^2*f*h*i+I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*ln(g*x+f)*f*h*i+I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*i/g*h*x+b*ln((e*x+d)^n)/g*ln(g*x+f)*h^2+1/2*b*ln((e*x+d)^n)*i^2/g*x^2-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*i^2/g*x^2+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^3*ln(g*x+f)*f^2*i^2-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*i^2/g^2*f*x-b*n/g^3*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*f^2*i^2-b*n/g*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*h^2+b*n/g^2*i^2*x*f-2*b*n/g*i*h*x-b*ln(c)*i^2/g^2*f*x+2*b*ln(c)*i/g*h*x+b*ln(c)/g^3*ln(g*x+f)*f^2*i^2-2*a/g^2*ln(g*x+f)*f*h*i-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^3*ln(g*x+f)*f^2*i^2-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g*ln(g*x+f)*h^2-2*b*ln((e*x+d)^n)/g^2*ln(g*x+f)*f*h*i-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*i^2/g^2*f*x-b*ln((e*x+d)^n)*i^2/g^2*f*x+2*b*ln((e*x+d)^n)*i/g*h*x+b*ln((e*x+d)^n)/g^3*ln(g*x+f)*f^2*i^2+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^3*ln(g*x+f)*f^2*i^2-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g*ln(g*x+f)*h^2-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*i^2/g*x^2","C"
219,1,750,119,0.321000," ","int((i*x+h)*(b*ln(c*(e*x+d)^n)+a)/(g*x+f),x)","\frac{i \pi  b f i \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 g^{2}}-\frac{a f i \ln \left(g x +f \right)}{g^{2}}+\frac{a h \ln \left(g x +f \right)}{g}+\frac{b i x \ln \left(\left(e x +d \right)^{n}\right)}{g}+\frac{i \pi  b f i \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g^{2}}+\frac{i \pi  b h \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g}+\frac{b d i n \ln \left(d g -e f +\left(g x +f \right) e \right)}{e g}+\frac{b f i n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g^{2}}-\frac{b h n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g}+\frac{b h \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}-\frac{b f i \ln \left(c \right) \ln \left(g x +f \right)}{g^{2}}+\frac{i \pi  b i x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g}+\frac{i \pi  b h \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g}+\frac{i \pi  b i x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g}+\frac{b f i n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g^{2}}-\frac{b f i n}{g^{2}}+\frac{b h \ln \left(c \right) \ln \left(g x +f \right)}{g}+\frac{b i x \ln \left(c \right)}{g}-\frac{i \pi  b f i \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{2}}-\frac{i \pi  b f i \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{2}}-\frac{i \pi  b h \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 g}-\frac{i \pi  b i x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 g}+\frac{a i x}{g}-\frac{i \pi  b h \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g}-\frac{i \pi  b i x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 g}-\frac{b f i \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g^{2}}-\frac{b h n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{b i n x}{g}"," ",0,"1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*ln(g*x+f)*f*i-a/g^2*ln(g*x+f)*f*i+a/g*ln(g*x+f)*h+b*ln((e*x+d)^n)*i/g*x+b/e*n/g*i*d*ln(d*g-e*f+(g*x+f)*e)+b*n/g^2*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*f*i+b*ln((e*x+d)^n)/g*ln(g*x+f)*h-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*i/g*x-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*ln(g*x+f)*f*i-b*ln(c)/g^2*ln(g*x+f)*f*i-b*n/g^2*i*f+b*ln(c)/g*ln(g*x+f)*h+b*ln(c)*i/g*x-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g*ln(g*x+f)*h-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*ln(g*x+f)*f*i+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*ln(g*x+f)*f*i-b*n/g*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*h+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*i/g*x+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*i/g*x+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g*ln(g*x+f)*h+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g*ln(g*x+f)*h-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*i/g*x+a*i*x/g-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g*ln(g*x+f)*h-b*ln((e*x+d)^n)/g^2*ln(g*x+f)*f*i+b*n/g^2*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*f*i-b*n/g*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*h-b*i*n*x/g","C"
220,1,261,63,0.109000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f),x)","-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 g}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g}-\frac{b n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{b n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g}+\frac{b \ln \left(c \right) \ln \left(g x +f \right)}{g}+\frac{b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{a \ln \left(g x +f \right)}{g}"," ",0,"b/g*ln((e*x+d)^n)*ln(g*x+f)-b/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-b/g*n*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*ln(g*x+f)-1/2*I*ln(g*x+f)/g*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*ln(g*x+f)/g*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*ln(g*x+f)/g*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*ln(g*x+f)/g*b*Pi*csgn(I*c*(e*x+d)^n)^3+b/g*ln(c)*ln(g*x+f)+a/g*ln(g*x+f)","C"
221,1,647,155,0.309000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)/(i*x+h),x)","\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 f i -2 g h}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(i x +h \right)}{2 \left(f i -g h \right)}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 \left(f i -g h \right)}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(i x +h \right)}{2 f i -2 g h}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 \left(f i -g h \right)}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(i x +h \right)}{2 f i -2 g h}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 f i -2 g h}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(i x +h \right)}{2 \left(f i -g h \right)}+\frac{b n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{f i -g h}-\frac{b n \ln \left(\frac{d i -e h +\left(i x +h \right) e}{d i -e h}\right) \ln \left(i x +h \right)}{f i -g h}+\frac{b n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{f i -g h}-\frac{b n \dilog \left(\frac{d i -e h +\left(i x +h \right) e}{d i -e h}\right)}{f i -g h}-\frac{b \ln \left(c \right) \ln \left(g x +f \right)}{f i -g h}+\frac{b \ln \left(c \right) \ln \left(i x +h \right)}{f i -g h}-\frac{b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{f i -g h}+\frac{b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(i x +h \right)}{f i -g h}-\frac{a \ln \left(g x +f \right)}{f i -g h}+\frac{a \ln \left(i x +h \right)}{f i -g h}"," ",0,"-b*ln((e*x+d)^n)/(f*i-g*h)*ln(g*x+f)+b*ln((e*x+d)^n)/(f*i-g*h)*ln(i*x+h)-b*n/(f*i-g*h)*dilog(((i*x+h)*e+d*i-e*h)/(d*i-e*h))-b*n/(f*i-g*h)*ln(i*x+h)*ln(((i*x+h)*e+d*i-e*h)/(d*i-e*h))+b*n/(f*i-g*h)*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+b*n/(f*i-g*h)*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/(f*i-g*h)*ln(i*x+h)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/(f*i-g*h)*ln(i*x+h)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/(f*i-g*h)*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/(f*i-g*h)*ln(i*x+h)-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/(f*i-g*h)*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/(f*i-g*h)*ln(g*x+f)+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/(f*i-g*h)*ln(i*x+h)-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/(f*i-g*h)*ln(g*x+f)-b*ln(c)/(f*i-g*h)*ln(g*x+f)+b*ln(c)/(f*i-g*h)*ln(i*x+h)-a/(f*i-g*h)*ln(g*x+f)+a/(f*i-g*h)*ln(i*x+h)","C"
222,1,970,252,0.304000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)/(i*x+h)^2,x)","\frac{a g \ln \left(g x +f \right)}{\left(f i -g h \right)^{2}}-\frac{a}{\left(f i -g h \right) \left(i x +h \right)}-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{\left(f i -g h \right) \left(i x +h \right)}-\frac{a g \ln \left(i x +h \right)}{\left(f i -g h \right)^{2}}-\frac{b \ln \left(c \right)}{\left(f i -g h \right) \left(i x +h \right)}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \left(f i -g h \right) \left(i x +h \right)}-\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(i x +h \right)}{2 \left(f i -g h \right)^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 \left(f i -g h \right)^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 \left(f i -g h \right)^{2}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(i x +h \right)}{2 \left(f i -g h \right)^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(f i -g h \right) \left(i x +h \right)}-\frac{b g \ln \left(c \right) \ln \left(i x +h \right)}{\left(f i -g h \right)^{2}}+\frac{b g \ln \left(c \right) \ln \left(g x +f \right)}{\left(f i -g h \right)^{2}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 \left(f i -g h \right)^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(i x +h \right)}{2 \left(f i -g h \right)^{2}}-\frac{b g n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{\left(f i -g h \right)^{2}}+\frac{b g n \dilog \left(\frac{d i -e h +\left(i x +h \right) e}{d i -e h}\right)}{\left(f i -g h \right)^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \left(f i -g h \right) \left(i x +h \right)}-\frac{b g \ln \left(\left(e x +d \right)^{n}\right) \ln \left(i x +h \right)}{\left(f i -g h \right)^{2}}+\frac{b g \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{\left(f i -g h \right)^{2}}-\frac{b g n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{\left(f i -g h \right)^{2}}+\frac{b e n \ln \left(i x +h \right)}{\left(f i -g h \right) \left(d i -e h \right)}-\frac{b e n \ln \left(e x +d \right)}{\left(f i -g h \right) \left(d i -e h \right)}+\frac{b g n \ln \left(\frac{d i -e h +\left(i x +h \right) e}{d i -e h}\right) \ln \left(i x +h \right)}{\left(f i -g h \right)^{2}}-\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 \left(f i -g h \right)^{2}}+\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(i x +h \right)}{2 \left(f i -g h \right)^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(f i -g h \right) \left(i x +h \right)}"," ",0,"a*g/(f*i-g*h)^2*ln(g*x+f)-a/(f*i-g*h)/(i*x+h)-b*ln((e*x+d)^n)/(f*i-g*h)/(i*x+h)-a*g/(f*i-g*h)^2*ln(i*x+h)-b*ln(c)/(f*i-g*h)/(i*x+h)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/(f*i-g*h)/(i*x+h)-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*g/(f*i-g*h)^2*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*g/(f*i-g*h)^2*ln(i*x+h)-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g/(f*i-g*h)^2*ln(i*x+h)+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g/(f*i-g*h)^2*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g/(f*i-g*h)^2*ln(g*x+f)-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g/(f*i-g*h)^2*ln(i*x+h)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g/(f*i-g*h)^2*ln(g*x+f)-b*n*g/(f*i-g*h)^2*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+b*n*g/(f*i-g*h)^2*dilog((d*i-e*h+(i*x+h)*e)/(d*i-e*h))-b*ln(c)*g/(f*i-g*h)^2*ln(i*x+h)+b*ln(c)*g/(f*i-g*h)^2*ln(g*x+f)-b*ln((e*x+d)^n)*g/(f*i-g*h)^2*ln(i*x+h)+b*ln((e*x+d)^n)*g/(f*i-g*h)^2*ln(g*x+f)-b*n*g/(f*i-g*h)^2*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+b*e*n/(f*i-g*h)/(d*i-e*h)*ln(i*x+h)-b*e*n/(f*i-g*h)/(d*i-e*h)*ln(e*x+d)+b*n*g/(f*i-g*h)^2*ln(i*x+h)*ln((d*i-e*h+(i*x+h)*e)/(d*i-e*h))+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g/(f*i-g*h)^2*ln(i*x+h)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/(f*i-g*h)/(i*x+h)-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/(f*i-g*h)/(i*x+h)-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/(f*i-g*h)/(i*x+h)","C"
223,1,1468,394,0.316000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)/(i*x+h)^3,x)","-\frac{a}{2 \left(f i -g h \right) \left(i x +h \right)^{2}}-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(f i -g h \right) \left(i x +h \right)^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(f i -g h \right)^{2} \left(i x +h \right)}+\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(f i -g h \right)^{2} \left(i x +h \right)}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 \left(f i -g h \right) \left(i x +h \right)^{2}}-\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 \left(f i -g h \right)^{3}}+\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(i x +h \right)}{2 \left(f i -g h \right)^{3}}-\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 \left(f i -g h \right)^{3}}+\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(i x +h \right)}{2 \left(f i -g h \right)^{3}}+\frac{b \,g^{2} \ln \left(c \right) \ln \left(i x +h \right)}{\left(f i -g h \right)^{3}}+\frac{b g \ln \left(c \right)}{\left(f i -g h \right)^{2} \left(i x +h \right)}-\frac{b \,g^{2} \ln \left(c \right) \ln \left(g x +f \right)}{\left(f i -g h \right)^{3}}+\frac{b e g h n}{2 \left(f i -g h \right)^{2} \left(d i -e h \right) \left(i x +h \right)}+\frac{b \,e^{2} f i n \ln \left(e x +d \right)}{2 \left(f i -g h \right)^{2} \left(d i -e h \right)^{2}}-\frac{3 b \,e^{2} g h n \ln \left(e x +d \right)}{2 \left(f i -g h \right)^{2} \left(d i -e h \right)^{2}}-\frac{b \,e^{2} f i n \ln \left(i x +h \right)}{2 \left(f i -g h \right)^{2} \left(d i -e h \right)^{2}}+\frac{3 b \,e^{2} g h n \ln \left(i x +h \right)}{2 \left(f i -g h \right)^{2} \left(d i -e h \right)^{2}}-\frac{b e f i n}{2 \left(f i -g h \right)^{2} \left(d i -e h \right) \left(i x +h \right)}+\frac{a g}{\left(f i -g h \right)^{2} \left(i x +h \right)}-\frac{b \ln \left(c \right)}{2 \left(f i -g h \right) \left(i x +h \right)^{2}}-\frac{a \,g^{2} \ln \left(g x +f \right)}{\left(f i -g h \right)^{3}}+\frac{a \,g^{2} \ln \left(i x +h \right)}{\left(f i -g h \right)^{3}}-\frac{b \,g^{2} n \ln \left(\frac{d i -e h +\left(i x +h \right) e}{d i -e h}\right) \ln \left(i x +h \right)}{\left(f i -g h \right)^{3}}-\frac{b d e g i n \ln \left(i x +h \right)}{\left(f i -g h \right)^{2} \left(d i -e h \right)^{2}}+\frac{b d e g i n \ln \left(e x +d \right)}{\left(f i -g h \right)^{2} \left(d i -e h \right)^{2}}+\frac{b \,g^{2} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(i x +h \right)}{\left(f i -g h \right)^{3}}+\frac{b g \ln \left(\left(e x +d \right)^{n}\right)}{\left(f i -g h \right)^{2} \left(i x +h \right)}-\frac{b \,g^{2} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{\left(f i -g h \right)^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(f i -g h \right) \left(i x +h \right)^{2}}+\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 \left(f i -g h \right)^{3}}+\frac{b \,g^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{\left(f i -g h \right)^{3}}-\frac{b \,g^{2} n \dilog \left(\frac{d i -e h +\left(i x +h \right) e}{d i -e h}\right)}{\left(f i -g h \right)^{3}}-\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(i x +h \right)}{2 \left(f i -g h \right)^{3}}-\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \left(f i -g h \right)^{2} \left(i x +h \right)}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(f i -g h \right) \left(i x +h \right)^{2}}+\frac{b \,g^{2} n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{\left(f i -g h \right)^{3}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \left(f i -g h \right)^{2} \left(i x +h \right)}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \left(f i -g h \right) \left(i x +h \right)^{2}}+\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 \left(f i -g h \right)^{3}}-\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(i x +h \right)}{2 \left(f i -g h \right)^{3}}"," ",0,"-1/2*a/(f*i-g*h)/(i*x+h)^2-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g^2/(f*i-g*h)^3*ln(g*x+f)-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g^2/(f*i-g*h)^3*ln(g*x+f)+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g^2/(f*i-g*h)^3*ln(i*x+h)+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g/(f*i-g*h)^2/(i*x+h)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g/(f*i-g*h)^2/(i*x+h)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g^2/(f*i-g*h)^3*ln(i*x+h)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*g^2/(f*i-g*h)^3*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*g^2/(f*i-g*h)^3*ln(i*x+h)-1/2*b*ln((e*x+d)^n)/(f*i-g*h)/(i*x+h)^2+1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/(f*i-g*h)/(i*x+h)^2+b*ln(c)*g^2/(f*i-g*h)^3*ln(i*x+h)+b*ln(c)*g/(f*i-g*h)^2/(i*x+h)-b*ln(c)*g^2/(f*i-g*h)^3*ln(g*x+f)+1/2*b*e*n/(f*i-g*h)^2/(d*i-e*h)/(i*x+h)*g*h+1/2*b*e^2*n/(f*i-g*h)^2/(d*i-e*h)^2*ln(e*x+d)*f*i-3/2*b*e^2*n/(f*i-g*h)^2/(d*i-e*h)^2*ln(e*x+d)*g*h-1/2*b*e^2*n/(f*i-g*h)^2/(d*i-e*h)^2*ln(i*x+h)*f*i+3/2*b*e^2*n/(f*i-g*h)^2/(d*i-e*h)^2*ln(i*x+h)*g*h-1/2*b*e*n/(f*i-g*h)^2/(d*i-e*h)/(i*x+h)*f*i+a*g/(f*i-g*h)^2/(i*x+h)-1/2*b*ln(c)/(f*i-g*h)/(i*x+h)^2-a*g^2/(f*i-g*h)^3*ln(g*x+f)+a*g^2/(f*i-g*h)^3*ln(i*x+h)+b*n*g^2/(f*i-g*h)^3*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-b*n*g^2/(f*i-g*h)^3*dilog((d*i-e*h+(i*x+h)*e)/(d*i-e*h))-b*n*g^2/(f*i-g*h)^3*ln(i*x+h)*ln((d*i-e*h+(i*x+h)*e)/(d*i-e*h))-b*e*n/(f*i-g*h)^2/(d*i-e*h)^2*ln(i*x+h)*d*g*i+b*e*n/(f*i-g*h)^2/(d*i-e*h)^2*ln(e*x+d)*d*g*i-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*g/(f*i-g*h)^2/(i*x+h)-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/(f*i-g*h)/(i*x+h)^2-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/(f*i-g*h)/(i*x+h)^2+b*ln((e*x+d)^n)*g^2/(f*i-g*h)^3*ln(i*x+h)+b*ln((e*x+d)^n)*g/(f*i-g*h)^2/(i*x+h)-b*ln((e*x+d)^n)*g^2/(f*i-g*h)^3*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g/(f*i-g*h)^2/(i*x+h)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g^2/(f*i-g*h)^3*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g^2/(f*i-g*h)^3*ln(i*x+h)+b*n*g^2/(f*i-g*h)^3*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/(f*i-g*h)/(i*x+h)^2","C"
224,0,0,463,1.766000," ","int((i*x+h)^2*(b*ln(c*(e*x+d)^n)+a)^2/(g*x+f),x)","\int \frac{\left(i x +h \right)^{2} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{g x +f}\, dx"," ",0,"int((i*x+h)^2*(b*ln(c*(e*x+d)^n)+a)^2/(g*x+f),x)","F"
225,0,0,215,1.783000," ","int((i*x+h)*(b*ln(c*(e*x+d)^n)+a)^2/(g*x+f),x)","\int \frac{\left(i x +h \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{g x +f}\, dx"," ",0,"int((i*x+h)*(b*ln(c*(e*x+d)^n)+a)^2/(g*x+f),x)","F"
226,1,2018,111,0.088000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f),x)","\frac{a^{2} \ln \left(g x +f \right)}{g}+\frac{b^{2} \ln \left(c \right)^{2} \ln \left(g x +f \right)}{g}+\frac{b^{2} n^{2} \ln \left(-d g +e f +\left(e x +d \right) g \right) \ln \left(e x +d \right)^{2}}{g}+\frac{b^{2} \ln \left(\left(e x +d \right)^{n}\right)^{2} \ln \left(-d g +e f +\left(e x +d \right) g \right)}{g}+\frac{2 a b \ln \left(c \right) \ln \left(g x +f \right)}{g}-\frac{2 b^{2} n^{2} \polylog \left(3, \frac{\left(e x +d \right) g}{d g -e f}\right)}{g}+\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{i \pi  \,b^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{g}-\frac{i \pi  \,b^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(c \right) \ln \left(g x +f \right)}{g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(c \right) \ln \left(g x +f \right)}{g}+\frac{b^{2} n^{2} \ln \left(-\frac{\left(e x +d \right) g}{d g -e f}+1\right) \ln \left(e x +d \right)^{2}}{g}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4} \ln \left(g x +f \right)}{4 g}+\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{5} \ln \left(g x +f \right)}{2 g}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4} \ln \left(g x +f \right)}{4 g}+\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{5} \ln \left(g x +f \right)}{2 g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{g}+\frac{i \pi  a b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{g}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}+\frac{i \pi  \,b^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{g}-\frac{2 b^{2} n^{2} \ln \left(\frac{-d g +e f +\left(e x +d \right) g}{-d g +e f}\right) \ln \left(e x +d \right)^{2}}{g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(c \right) \ln \left(g x +f \right)}{g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}-\frac{i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{2 a b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{2 b^{2} \ln \left(c \right) \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{4 g}+\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g}+\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4} \ln \left(g x +f \right)}{g}+\frac{i \pi  \,b^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(c \right) \ln \left(g x +f \right)}{g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}-\frac{i \pi  a b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{g}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{6} \ln \left(g x +f \right)}{4 g}-\frac{2 a b n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g}-\frac{2 b^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(c \right)}{g}+\frac{2 b^{2} n \dilog \left(\frac{-d g +e f +\left(e x +d \right) g}{-d g +e f}\right) \ln \left(\left(e x +d \right)^{n}\right)}{g}+\frac{2 b^{2} n^{2} \polylog \left(2, \frac{\left(e x +d \right) g}{d g -e f}\right) \ln \left(e x +d \right)}{g}-\frac{2 b^{2} n^{2} \dilog \left(\frac{-d g +e f +\left(e x +d \right) g}{-d g +e f}\right) \ln \left(e x +d \right)}{g}-\frac{2 b^{2} n \ln \left(c \right) \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{2 a b n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{2 b^{2} n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(-d g +e f +\left(e x +d \right) g \right) \ln \left(e x +d \right)}{g}+\frac{2 b^{2} n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(\frac{-d g +e f +\left(e x +d \right) g}{-d g +e f}\right) \ln \left(e x +d \right)}{g}"," ",0,"-I/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*ln(g*x+f)/g*ln((e*x+d)^n)*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*ln(g*x+f)/g*ln(c)*Pi*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*ln(g*x+f)/g*Pi*a*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*ln(g*x+f)/g*ln((e*x+d)^n)*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*ln(g*x+f)/g*Pi*a*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*ln(g*x+f)/g*ln(c)*Pi*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I/g*n*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c*(e*x+d)^n)^3-I/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*ln(g*x+f)/g*ln((e*x+d)^n)*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*ln(g*x+f)/g*Pi*a*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*ln(g*x+f)/g*ln(c)*Pi*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I/g*n*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+a^2/g*ln(g*x+f)+I/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c*(e*x+d)^n)^3-ln(g*x+f)/g*Pi^2*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4-1/4*ln(g*x+f)/g*Pi^2*b^2*csgn(I*c*(e*x+d)^n)^6+b^2/g*ln(c)^2*ln(g*x+f)-1/4*ln(g*x+f)/g*Pi^2*b^2*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4+1/2*ln(g*x+f)/g*Pi^2*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-1/4*ln(g*x+f)/g*Pi^2*b^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+1/2*ln(g*x+f)/g*Pi^2*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5+1/2*ln(g*x+f)/g*Pi^2*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3+1/2*ln(g*x+f)/g*Pi^2*b^2*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3+b^2/g*n^2*ln(-d*g+e*f+(e*x+d)*g)*ln(e*x+d)^2+2*b^2*n*dilog((-d*g+e*f+(e*x+d)*g)/(-d*g+e*f))/g*ln((e*x+d)^n)+b^2/g*ln((e*x+d)^n)^2*ln(-d*g+e*f+(e*x+d)*g)-1/4*ln(g*x+f)/g*Pi^2*b^2*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2-I*ln(g*x+f)/g*Pi*a*b*csgn(I*c*(e*x+d)^n)^3-I*ln(g*x+f)/g*ln(c)*Pi*b^2*csgn(I*c*(e*x+d)^n)^3-2*b/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*a-2/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*ln(c)+2*a*b/g*ln(c)*ln(g*x+f)-I/g*n*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*ln(g*x+f)/g*ln((e*x+d)^n)*b^2*Pi*csgn(I*c*(e*x+d)^n)^3+I/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-2*b^2*n^2/g*polylog(3,1/(d*g-e*f)*(e*x+d)*g)+I/g*n*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+b^2/g*n^2*ln(-1/(d*g-e*f)*(e*x+d)*g+1)*ln(e*x+d)^2+2*b^2*n^2/g*ln(e*x+d)*polylog(2,1/(d*g-e*f)*(e*x+d)*g)-2*b^2*n^2*dilog((-d*g+e*f+(e*x+d)*g)/(-d*g+e*f))/g*ln(e*x+d)-2*b^2/g*n^2*ln((-d*g+e*f+(e*x+d)*g)/(-d*g+e*f))*ln(e*x+d)^2+2*a*b/g*ln((e*x+d)^n)*ln(g*x+f)+2*b^2/g*ln(c)*ln((e*x+d)^n)*ln(g*x+f)-2*b^2/g*n*ln(c)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*ln(g*x+f)-2*a*b/g*n*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*ln(g*x+f)-2*b^2/g*n*ln((e*x+d)^n)*ln(-d*g+e*f+(e*x+d)*g)*ln(e*x+d)+2*b^2/g*n*ln((e*x+d)^n)*ln((-d*g+e*f+(e*x+d)*g)/(-d*g+e*f))*ln(e*x+d)","C"
227,1,4712,264,0.626000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)/(i*x+h),x)","\text{output too large to display}"," ",0,"-a^2/(f*i-g*h)*ln(g*x+f)+a^2/(f*i-g*h)*ln(i*x+h)-I*n/(f*i-g*h)*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-2*b^2*n^2/(f*i-g*h)*polylog(3,-i*(e*x+d)/(-d*i+e*h))+2*b^2*n^2/(f*i-g*h)*polylog(3,-g*(e*x+d)/(-d*g+e*f))+I*ln((e*x+d)^n)/(f*i-g*h)*ln(g*x+f)*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*n/(f*i-g*h)*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*n/(f*i-g*h)*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*n/(f*i-g*h)*dilog((d*i-e*h+(i*x+h)*e)/(d*i-e*h))*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I/(f*i-g*h)*ln(g*x+f)*ln(c)*Pi*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+b^2/(f*i-g*h)*ln((e*x+d)*i-d*i+e*h)*ln((e*x+d)^n)^2-b^2/(f*i-g*h)*ln(-d*g+e*f+(e*x+d)*g)*ln((e*x+d)^n)^2+I/(f*i-g*h)*ln(g*x+f)*Pi*a*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-2*b^2*n/(f*i-g*h)*dilog((-d*g+e*f+(e*x+d)*g)/(-d*g+e*f))*ln((e*x+d)^n)-1/4/(f*i-g*h)*ln(i*x+h)*Pi^2*b^2*csgn(I*c*(e*x+d)^n)^6-2*ln((e*x+d)^n)/(f*i-g*h)*ln(g*x+f)*b^2*ln(c)+2/(f*i-g*h)*ln(i*x+h)*ln((e*x+d)^n)*b^2*ln(c)-2*b*ln((e*x+d)^n)/(f*i-g*h)*ln(g*x+f)*a+2*b^2*n/(f*i-g*h)*dilog(((e*x+d)*i-d*i+e*h)/(-d*i+e*h))*ln((e*x+d)^n)-I/(f*i-g*h)*ln(i*x+h)*Pi*a*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*n/(f*i-g*h)*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-2*b*n/(f*i-g*h)*ln(i*x+h)*ln((d*i-e*h+(i*x+h)*e)/(d*i-e*h))*a+2*b*n/(f*i-g*h)*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*a-2*n/(f*i-g*h)*ln(i*x+h)*ln((d*i-e*h+(i*x+h)*e)/(d*i-e*h))*b^2*ln(c)+2*n/(f*i-g*h)*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*ln(c)-1/(f*i-g*h)*ln(g*x+f)*ln(c)^2*b^2+1/(f*i-g*h)*ln(i*x+h)*ln(c)^2*b^2+I*n/(f*i-g*h)*ln(i*x+h)*ln((d*i-e*h+(i*x+h)*e)/(d*i-e*h))*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/(f*i-g*h)*ln(i*x+h)*Pi^2*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4+I*ln((e*x+d)^n)/(f*i-g*h)*ln(g*x+f)*b^2*Pi*csgn(I*c*(e*x+d)^n)^3-I/(f*i-g*h)*ln(i*x+h)*ln((e*x+d)^n)*b^2*Pi*csgn(I*c*(e*x+d)^n)^3-I*n/(f*i-g*h)*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c*(e*x+d)^n)^3-1/2/(f*i-g*h)*ln(g*x+f)*Pi^2*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3+1/4/(f*i-g*h)*ln(g*x+f)*Pi^2*b^2*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2+1/2/(f*i-g*h)*ln(i*x+h)*Pi^2*b^2*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3+1/2/(f*i-g*h)*ln(i*x+h)*Pi^2*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3-2*b^2*n/(f*i-g*h)*ln(e*x+d)*ln((-d*g+e*f+(e*x+d)*g)/(-d*g+e*f))*ln((e*x+d)^n)+1/4/(f*i-g*h)*ln(g*x+f)*Pi^2*b^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+I*n/(f*i-g*h)*dilog((d*i-e*h+(i*x+h)*e)/(d*i-e*h))*b^2*Pi*csgn(I*c*(e*x+d)^n)^3+I/(f*i-g*h)*ln(g*x+f)*ln(c)*Pi*b^2*csgn(I*c*(e*x+d)^n)^3+I/(f*i-g*h)*ln(g*x+f)*Pi*a*b*csgn(I*c*(e*x+d)^n)^3-2*b*n/(f*i-g*h)*dilog((d*i-e*h+(i*x+h)*e)/(d*i-e*h))*a+2*b*n/(f*i-g*h)*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*a-I*n/(f*i-g*h)*ln(i*x+h)*ln((d*i-e*h+(i*x+h)*e)/(d*i-e*h))*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/4/(f*i-g*h)*ln(i*x+h)*Pi^2*b^2*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2-1/2/(f*i-g*h)*ln(g*x+f)*Pi^2*b^2*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3-2*b^2*n^2/(f*i-g*h)*ln(e*x+d)^2*ln(((e*x+d)*i-d*i+e*h)/(-d*i+e*h))+2*b^2*n^2/(f*i-g*h)*dilog((-d*g+e*f+(e*x+d)*g)/(-d*g+e*f))*ln(e*x+d)+2*b^2*n^2/(f*i-g*h)*ln(e*x+d)^2*ln((-d*g+e*f+(e*x+d)*g)/(-d*g+e*f))+1/4/(f*i-g*h)*ln(g*x+f)*Pi^2*b^2*csgn(I*c*(e*x+d)^n)^6-I/(f*i-g*h)*ln(i*x+h)*ln(c)*Pi*b^2*csgn(I*c*(e*x+d)^n)^3-I/(f*i-g*h)*ln(i*x+h)*Pi*a*b*csgn(I*c*(e*x+d)^n)^3-2*n/(f*i-g*h)*dilog((d*i-e*h+(i*x+h)*e)/(d*i-e*h))*b^2*ln(c)+2/(f*i-g*h)*ln(i*x+h)*ln(c)*a*b+2*n/(f*i-g*h)*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*ln(c)-2/(f*i-g*h)*ln(g*x+f)*ln(c)*a*b+1/(f*i-g*h)*ln(g*x+f)*Pi^2*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4-I*n/(f*i-g*h)*dilog((d*i-e*h+(i*x+h)*e)/(d*i-e*h))*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I/(f*i-g*h)*ln(g*x+f)*ln(c)*Pi*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I/(f*i-g*h)*ln(g*x+f)*Pi*a*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I/(f*i-g*h)*ln(i*x+h)*ln((e*x+d)^n)*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I/(f*i-g*h)*ln(g*x+f)*ln(c)*Pi*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-b^2/(f*i-g*h)*ln(-d*g+e*f+(e*x+d)*g)*ln(e*x+d)^2*n^2+b^2*n^2/(f*i-g*h)*ln(e*x+d)^2*ln(1+i*(e*x+d)/(-d*i+e*h))+2*b^2*n^2/(f*i-g*h)*ln(e*x+d)*polylog(2,-i*(e*x+d)/(-d*i+e*h))-b^2*n^2/(f*i-g*h)*ln(e*x+d)^2*ln(1+g*(e*x+d)/(-d*g+e*f))-2*b^2*n^2/(f*i-g*h)*ln(e*x+d)*polylog(2,-g*(e*x+d)/(-d*g+e*f))-2*b^2*n^2/(f*i-g*h)*dilog(((e*x+d)*i-d*i+e*h)/(-d*i+e*h))*ln(e*x+d)+2*b/(f*i-g*h)*ln(i*x+h)*ln((e*x+d)^n)*a-I*n/(f*i-g*h)*dilog((d*i-e*h+(i*x+h)*e)/(d*i-e*h))*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I/(f*i-g*h)*ln(g*x+f)*Pi*a*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*n/(f*i-g*h)*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c*(e*x+d)^n)^3-I*ln((e*x+d)^n)/(f*i-g*h)*ln(g*x+f)*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*n/(f*i-g*h)*ln(i*x+h)*ln((d*i-e*h+(i*x+h)*e)/(d*i-e*h))*b^2*Pi*csgn(I*c*(e*x+d)^n)^3+I*n/(f*i-g*h)*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*n/(f*i-g*h)*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I/(f*i-g*h)*ln(i*x+h)*ln((e*x+d)^n)*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I/(f*i-g*h)*ln(i*x+h)*Pi*a*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I/(f*i-g*h)*ln(i*x+h)*ln(c)*Pi*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I/(f*i-g*h)*ln(i*x+h)*Pi*a*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I/(f*i-g*h)*ln(i*x+h)*ln(c)*Pi*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+b^2/(f*i-g*h)*ln((e*x+d)*i-d*i+e*h)*ln(e*x+d)^2*n^2-I*ln((e*x+d)^n)/(f*i-g*h)*ln(g*x+f)*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/4/(f*i-g*h)*ln(i*x+h)*Pi^2*b^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+1/2/(f*i-g*h)*ln(i*x+h)*Pi^2*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5+1/4/(f*i-g*h)*ln(g*x+f)*Pi^2*b^2*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4-2*b^2/(f*i-g*h)*ln((e*x+d)*i-d*i+e*h)*ln(e*x+d)*ln((e*x+d)^n)*n+2*b^2/(f*i-g*h)*ln(-d*g+e*f+(e*x+d)*g)*ln(e*x+d)*ln((e*x+d)^n)*n+2*b^2*n/(f*i-g*h)*ln(e*x+d)*ln(((e*x+d)*i-d*i+e*h)/(-d*i+e*h))*ln((e*x+d)^n)-I*n/(f*i-g*h)*ln(i*x+h)*ln((d*i-e*h+(i*x+h)*e)/(d*i-e*h))*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I/(f*i-g*h)*ln(i*x+h)*ln((e*x+d)^n)*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I/(f*i-g*h)*ln(i*x+h)*ln(c)*Pi*b^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2/(f*i-g*h)*ln(g*x+f)*Pi^2*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5-1/2/(f*i-g*h)*ln(g*x+f)*Pi^2*b^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-1/4/(f*i-g*h)*ln(i*x+h)*Pi^2*b^2*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4+1/2/(f*i-g*h)*ln(i*x+h)*Pi^2*b^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5","C"
228,0,0,427,1.339000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)/(i*x+h)^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\left(g x +f \right) \left(i x +h \right)^{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/(g*x+f)/(i*x+h)^2,x)","F"
229,0,0,652,2.809000," ","int((i*x+h)^2*(b*ln(c*(e*x+d)^n)+a)^3/(g*x+f),x)","\int \frac{\left(i x +h \right)^{2} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3}}{g x +f}\, dx"," ",0,"int((i*x+h)^2*(b*ln(c*(e*x+d)^n)+a)^3/(g*x+f),x)","F"
230,0,0,308,2.213000," ","int((i*x+h)*(b*ln(c*(e*x+d)^n)+a)^3/(g*x+f),x)","\int \frac{\left(i x +h \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3}}{g x +f}\, dx"," ",0,"int((i*x+h)*(b*ln(c*(e*x+d)^n)+a)^3/(g*x+f),x)","F"
231,1,9538,158,0.150000," ","int((b*ln(c*(e*x+d)^n)+a)^3/(g*x+f),x)","\text{output too large to display}"," ",0,"result too large to display","C"
232,1,21696,372,1.115000," ","int((b*ln(c*(e*x+d)^n)+a)^3/(g*x+f)/(i*x+h),x)","\text{output too large to display}"," ",0,"result too large to display","C"
233,0,0,602,1.526000," ","int((b*ln(c*(e*x+d)^n)+a)^3/(g*x+f)/(i*x+h)^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3}}{\left(g x +f \right) \left(i x +h \right)^{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^3/(g*x+f)/(i*x+h)^2,x)","F"
234,0,0,106,0.691000," ","int((i*x+h)/(g*x+f)/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{i x +h}{\left(g x +f \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)}\, dx"," ",0,"int((i*x+h)/(g*x+f)/(b*ln(c*(e*x+d)^n)+a),x)","F"
235,0,0,26,0.038000," ","int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{1}{\left(g x +f \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)}\, dx"," ",0,"int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a),x)","F"
236,0,0,78,1.170000," ","int(1/(g*x+f)/(i*x+h)/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{1}{\left(g x +f \right) \left(i x +h \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)}\, dx"," ",0,"int(1/(g*x+f)/(i*x+h)/(b*ln(c*(e*x+d)^n)+a),x)","F"
237,0,0,120,1.583000," ","int(1/(g*x+f)/(i*x+h)^2/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{1}{\left(g x +f \right) \left(i x +h \right)^{2} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)}\, dx"," ",0,"int(1/(g*x+f)/(i*x+h)^2/(b*ln(c*(e*x+d)^n)+a),x)","F"
238,0,0,142,3.079000," ","int((i*x+h)/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \frac{i x +h}{\left(g x +f \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}\, dx"," ",0,"int((i*x+h)/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
239,0,0,26,0.038000," ","int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \frac{1}{\left(g x +f \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)/(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
240,0,0,78,17.412000," ","int(1/(g*x+f)/(i*x+h)/(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \frac{1}{\left(g x +f \right) \left(i x +h \right) \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)/(i*x+h)/(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
241,0,0,120,26.776000," ","int(1/(g*x+f)/(i*x+h)^2/(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \frac{1}{\left(g x +f \right) \left(i x +h \right)^{2} \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)/(i*x+h)^2/(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
242,1,1000,263,0.279000," ","int(x^3*(b*ln(c*(e*x+d)^n)+a)/(g*x+f),x)","\frac{b \,f^{2} x \ln \left(\left(e x +d \right)^{n}\right)}{g^{3}}-\frac{b \,f^{3} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g^{4}}-\frac{b f \,x^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 g^{2}}+\frac{b \,f^{2} x \ln \left(c \right)}{g^{3}}-\frac{b \,f^{3} \ln \left(c \right) \ln \left(g x +f \right)}{g^{4}}-\frac{b f \,x^{2} \ln \left(c \right)}{2 g^{2}}+\frac{b \,d^{2} f n \ln \left(d g -e f +\left(g x +f \right) e \right)}{2 e^{2} g^{2}}+\frac{b d \,f^{2} n \ln \left(d g -e f +\left(g x +f \right) e \right)}{e \,g^{3}}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{6 g}-\frac{i \pi  b f \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g^{2}}-\frac{i \pi  b f \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g^{2}}-\frac{i \pi  b \,f^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{4}}-\frac{i \pi  b \,f^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{4}}+\frac{i \pi  b \,f^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g^{3}}+\frac{i \pi  b \,f^{2} x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g^{3}}+\frac{b \,x^{3} \ln \left(\left(e x +d \right)^{n}\right)}{3 g}+\frac{b \,d^{3} n \ln \left(d g -e f +\left(g x +f \right) e \right)}{3 e^{3} g}-\frac{49 b \,f^{3} n}{36 g^{4}}-\frac{a f \,x^{2}}{2 g^{2}}-\frac{a \,f^{3} \ln \left(g x +f \right)}{g^{4}}+\frac{b \,x^{3} \ln \left(c \right)}{3 g}+\frac{b \,f^{3} n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g^{4}}-\frac{2 b d \,f^{2} n}{3 e \,g^{3}}-\frac{b \,d^{2} f n}{3 e^{2} g^{2}}+\frac{a \,x^{3}}{3 g}+\frac{b f n \,x^{2}}{4 g^{2}}-\frac{b d f n x}{2 e \,g^{2}}+\frac{b \,f^{3} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g^{4}}-\frac{b \,f^{2} n x}{g^{3}}+\frac{i \pi  b f \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 g^{2}}+\frac{i \pi  b \,f^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 g^{4}}-\frac{i \pi  b \,f^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 g^{3}}-\frac{b n \,x^{3}}{9 g}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{6 g}-\frac{b \,d^{2} n x}{3 e^{2} g}+\frac{b d n \,x^{2}}{6 e g}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6 g}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6 g}+\frac{i \pi  b f \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 g^{2}}+\frac{i \pi  b \,f^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g^{4}}-\frac{i \pi  b \,f^{2} x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 g^{3}}+\frac{a \,f^{2} x}{g^{3}}"," ",0,"b*ln((e*x+d)^n)/g^3*x*f^2-b*ln((e*x+d)^n)*f^3/g^4*ln(g*x+f)-1/2*b*ln((e*x+d)^n)/g^2*f*x^2+1/6*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g*x^3+b*ln(c)/g^3*x*f^2-b*ln(c)*f^3/g^4*ln(g*x+f)-1/2*b*ln(c)/g^2*f*x^2+1/2*b/e^2*n/g^2*d^2*ln(d*g-e*f+(g*x+f)*e)*f+b/e*n/g^3*d*ln(d*g-e*f+(g*x+f)*e)*f^2+b*n/g^4*f^3*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-1/6*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g*x^3+1/6*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g*x^3+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^3*x*f^2-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*f*x^2+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^3*x*f^2-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*f*x^2+1/3*b*ln((e*x+d)^n)/g*x^3+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*f*x^2+1/3*b/e^3*n/g*d^3*ln(d*g-e*f+(g*x+f)*e)-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*f^3/g^4*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*f^3/g^4*ln(g*x+f)-49/36*b*n/g^4*f^3-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^3*x*f^2-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*f^3/g^4*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^3*x*f^2-1/2*a/g^2*f*x^2-a*f^3/g^4*ln(g*x+f)+1/3*b*ln(c)/g*x^3+1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*f*x^2+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*f^3/g^4*ln(g*x+f)-1/6*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g*x^3+b*n/g^4*f^3*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-2/3*b/e*n/g^3*d*f^2-1/3*b/e^2*n/g^2*d^2*f+1/3*a/g*x^3+1/4*b*f*n*x^2/g^2-1/2*b*d*f*n*x/e/g^2-b*f^2*n*x/g^3-1/9*b*n*x^3/g-1/3*b*d^2*n*x/e^2/g+1/6*b*d*n*x^2/e/g+a*f^2*x/g^3","C"
243,1,724,173,0.267000," ","int(x^2*(b*ln(c*(e*x+d)^n)+a)/(g*x+f),x)","-\frac{b f x \ln \left(\left(e x +d \right)^{n}\right)}{g^{2}}+\frac{b \,f^{2} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g^{3}}-\frac{b d f n \ln \left(d g -e f +\left(g x +f \right) e \right)}{e \,g^{2}}-\frac{b \,f^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g^{3}}-\frac{b f x \ln \left(c \right)}{g^{2}}+\frac{b \,f^{2} \ln \left(c \right) \ln \left(g x +f \right)}{g^{3}}-\frac{i \pi  b f x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g^{2}}-\frac{i \pi  b f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g^{2}}+\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{3}}+\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{3}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 g}+\frac{a \,f^{2} \ln \left(g x +f \right)}{g^{3}}+\frac{b \,x^{2} \ln \left(c \right)}{2 g}-\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 g^{3}}+\frac{i \pi  b f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 g^{2}}+\frac{b d f n}{2 e \,g^{2}}-\frac{b \,f^{2} n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g^{3}}+\frac{b \,x^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 g}-\frac{b \,d^{2} n \ln \left(d g -e f +\left(g x +f \right) e \right)}{2 e^{2} g}+\frac{a \,x^{2}}{2 g}+\frac{5 b \,f^{2} n}{4 g^{3}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 g}+\frac{b f n x}{g^{2}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g}-\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g^{3}}+\frac{i \pi  b f x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 g^{2}}-\frac{b n \,x^{2}}{4 g}+\frac{b d n x}{2 e g}-\frac{a f x}{g^{2}}"," ",0,"-b*ln((e*x+d)^n)/g^2*x*f+b*ln((e*x+d)^n)*f^2/g^3*ln(g*x+f)-b/e*n/g^2*d*ln(d*g-e*f+(g*x+f)*e)*f-b*ln(c)/g^2*x*f+b*ln(c)*f^2/g^3*ln(g*x+f)-b*n/g^3*f^2*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*x*f-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g*x^2-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g*x^2+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*f^2/g^3*ln(g*x+f)+a*f^2/g^3*ln(g*x+f)+1/2*b*ln(c)/g*x^2+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g*x^2-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*f^2/g^3*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*x*f+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g*x^2+1/2*b/e*n/g^2*d*f-b*n/g^3*f^2*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*f^2/g^3*ln(g*x+f)+1/2*b*ln((e*x+d)^n)/g*x^2-1/2*b/e^2*n/g*d^2*ln(d*g-e*f+(g*x+f)*e)+1/2*a/g*x^2+5/4*b*n/g^3*f^2-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*x*f+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*x*f-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*f^2/g^3*ln(g*x+f)+b*f*n*x/g^2-1/4*b*n*x^2/g+1/2*b*d*n*x/e/g-a*f*x/g^2","C"
244,1,463,104,0.309000," ","int(x*(b*ln(c*(e*x+d)^n)+a)/(g*x+f),x)","\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 g^{2}}-\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{2}}-\frac{i \pi  b f \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{2}}+\frac{i \pi  b f \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g^{2}}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 g}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g}+\frac{i \pi  b x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g}-\frac{i \pi  b x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 g}+\frac{b f n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g^{2}}+\frac{b d n \ln \left(d g -e f +\left(g x +f \right) e \right)}{e g}+\frac{b f n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g^{2}}-\frac{b f \ln \left(c \right) \ln \left(g x +f \right)}{g^{2}}-\frac{b f \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g^{2}}-\frac{b n x}{g}+\frac{b x \ln \left(c \right)}{g}+\frac{b x \ln \left(\left(e x +d \right)^{n}\right)}{g}-\frac{a f \ln \left(g x +f \right)}{g^{2}}+\frac{a x}{g}-\frac{b f n}{g^{2}}"," ",0,"b*ln((e*x+d)^n)/g*x-b*ln((e*x+d)^n)*f/g^2*ln(g*x+f)-b*n*x/g-b*n/g^2*f+b/e*n/g*d*ln(d*g-e*f+(g*x+f)*e)+b*n/g^2*f*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+b*n/g^2*f*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g*x-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g*x-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*f/g^2*ln(g*x+f)+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g*x-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*f/g^2*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g*x+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*f/g^2*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*f/g^2*ln(g*x+f)+b*ln(c)/g*x-b*ln(c)*f/g^2*ln(g*x+f)+a*x/g-a*f/g^2*ln(g*x+f)","C"
245,1,261,63,0.112000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f),x)","-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 g}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g}-\frac{b n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g}-\frac{b n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g}+\frac{b \ln \left(c \right) \ln \left(g x +f \right)}{g}+\frac{b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g}+\frac{a \ln \left(g x +f \right)}{g}"," ",0,"b/g*ln((e*x+d)^n)*ln(g*x+f)-b/g*n*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-b/g*n*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))*ln(g*x+f)-1/2*I*ln(g*x+f)/g*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*ln(g*x+f)/g*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*ln(g*x+f)/g*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*ln(g*x+f)/g*b*Pi*csgn(I*c*(e*x+d)^n)^3+b/g*ln(c)*ln(g*x+f)+a/g*ln(g*x+f)","C"
246,1,455,107,0.252000," ","int((b*ln(c*(e*x+d)^n)+a)/x/(g*x+f),x)","-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{2 f}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 f}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 f}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 f}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{2 f}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 f}-\frac{b n \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)}{f}+\frac{b n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{f}+\frac{b n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{f}-\frac{b n \dilog \left(\frac{e x +d}{d}\right)}{f}+\frac{b \ln \left(c \right) \ln \left(x \right)}{f}-\frac{b \ln \left(c \right) \ln \left(g x +f \right)}{f}+\frac{b \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)}{f}-\frac{b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{f}+\frac{a \ln \left(x \right)}{f}-\frac{a \ln \left(g x +f \right)}{f}"," ",0,"-b*ln((e*x+d)^n)/f*ln(g*x+f)+b*ln((e*x+d)^n)/f*ln(x)-b*n/f*dilog((e*x+d)/d)-b*n/f*ln(x)*ln((e*x+d)/d)+b*n/f*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+b*n/f*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f*ln(x)-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f*ln(g*x+f)-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f*ln(g*x+f)+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f*ln(x)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f*ln(x)-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f*ln(x)-b*ln(c)/f*ln(g*x+f)+b*ln(c)/f*ln(x)-a/f*ln(g*x+f)+a/f*ln(x)","C"
247,1,669,164,0.255000," ","int((b*ln(c*(e*x+d)^n)+a)/x^2/(g*x+f),x)","-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 f^{2}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 f^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 f x}-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{f x}-\frac{b g n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{f^{2}}+\frac{b g n \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)}{f^{2}}-\frac{a}{f x}+\frac{a g \ln \left(g x +f \right)}{f^{2}}-\frac{a g \ln \left(x \right)}{f^{2}}-\frac{b \ln \left(c \right)}{f x}-\frac{b g n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{f^{2}}+\frac{b g n \dilog \left(\frac{e x +d}{d}\right)}{f^{2}}+\frac{b g \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{f^{2}}-\frac{b g \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)}{f^{2}}-\frac{b g \ln \left(c \right) \ln \left(x \right)}{f^{2}}+\frac{b g \ln \left(c \right) \ln \left(g x +f \right)}{f^{2}}+\frac{b e n \ln \left(x \right)}{d f}-\frac{b e n \ln \left(e x +d \right)}{d f}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{2 f^{2}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 f^{2}}+\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{2 f^{2}}-\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 f^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 f x}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 f x}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 f x}"," ",0,"-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*g*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*g*ln(x)-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*g*ln(x)-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*g*ln(x)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f/x-b*ln((e*x+d)^n)/f/x+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*g*ln(g*x+f)-b*n/f^2*g*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+b*n/f^2*g*ln(x)*ln((e*x+d)/d)-a/f/x+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f/x+a/f^2*g*ln(g*x+f)-a/f^2*g*ln(x)-b*ln(c)/f/x+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*g*ln(g*x+f)+b*ln((e*x+d)^n)/f^2*g*ln(g*x+f)-b*ln((e*x+d)^n)/f^2*g*ln(x)-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f/x-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f/x-b*ln(c)/f^2*g*ln(x)+b*ln(c)/f^2*g*ln(g*x+f)-b*n/f^2*g*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+b*n/f^2*g*dilog((e*x+d)/d)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*g*ln(x)-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*g*ln(g*x+f)+b*e*n*ln(x)/d/f-b*e*n*ln(e*x+d)/d/f","C"
248,1,926,245,0.246000," ","int((b*ln(c*(e*x+d)^n)+a)/x^3/(g*x+f),x)","-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{2 f \,x^{2}}-\frac{b \,g^{2} n \dilog \left(\frac{e x +d}{d}\right)}{f^{3}}+\frac{b \,g^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{f^{3}}-\frac{b \,g^{2} n \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)}{f^{3}}+\frac{b \,g^{2} n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{f^{3}}-\frac{a}{2 f \,x^{2}}-\frac{b \ln \left(c \right)}{2 f \,x^{2}}-\frac{a \,g^{2} \ln \left(g x +f \right)}{f^{3}}+\frac{a \,g^{2} \ln \left(x \right)}{f^{3}}+\frac{a g}{f^{2} x}+\frac{b \,g^{2} \ln \left(c \right) \ln \left(x \right)}{f^{3}}+\frac{b g \ln \left(c \right)}{f^{2} x}-\frac{b \,g^{2} \ln \left(c \right) \ln \left(g x +f \right)}{f^{3}}+\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 f \,x^{2}}-\frac{b e g n \ln \left(x \right)}{d \,f^{2}}+\frac{b e g n \ln \left(e x +d \right)}{d \,f^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 f^{2} x}+\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 f^{2} x}-\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 f^{3}}+\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f^{3}}-\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 f^{3}}-\frac{b \,g^{2} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{f^{3}}+\frac{b \,g^{2} \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)}{f^{3}}+\frac{b g \ln \left(\left(e x +d \right)^{n}\right)}{f^{2} x}-\frac{b \,e^{2} n \ln \left(x \right)}{2 d^{2} f}+\frac{b \,e^{2} n \ln \left(e x +d \right)}{2 d^{2} f}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 f \,x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 f \,x^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 f \,x^{2}}-\frac{b e n}{2 d f x}-\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{2 f^{3}}+\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 f^{3}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 f^{2} x}-\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{2 f^{3}}+\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 f^{3}}-\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 f^{2} x}"," ",0,"-1/2*b*ln((e*x+d)^n)/f/x^2+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f/x^2-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^3*g^2*ln(g*x+f)+1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f/x^2+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^3*g^2*ln(x)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*g/x-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*g/x-b*n/f^3*g^2*ln(x)*ln((e*x+d)/d)+b*n/f^3*g^2*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-1/2*a/f/x^2+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^3*g^2*ln(x)-1/2*b*ln(c)/f/x^2-a/f^3*g^2*ln(g*x+f)+a/f^3*g^2*ln(x)+a/f^2*g/x+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*g/x-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^3*g^2*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^3*g^2*ln(x)+b*ln(c)/f^3*g^2*ln(x)+b*ln(c)/f^2*g/x-b*ln(c)/f^3*g^2*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^3*g^2*ln(g*x+f)-b*e*g*n*ln(x)/d/f^2+b*e*g*n*ln(e*x+d)/d/f^2-b*ln((e*x+d)^n)/f^3*g^2*ln(g*x+f)+b*ln((e*x+d)^n)/f^3*g^2*ln(x)+b*ln((e*x+d)^n)/f^2*g/x-b*n/f^3*g^2*dilog((e*x+d)/d)+b*n/f^3*g^2*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-1/2*b*e^2*n*ln(x)/d^2/f+1/2*b*e^2*n*ln(e*x+d)/d^2/f+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^3*g^2*ln(g*x+f)-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f/x^2-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f/x^2-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^3*g^2*ln(x)-1/2*b*e*n/d/f/x-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*g/x","C"
249,1,1063,257,0.276000," ","int(x^3*(b*ln(c*(e*x+d)^n)+a)/(g*x+f)^2,x)","-\frac{3 b \,d^{2} f n \ln \left(d g -e f +\left(g x +f \right) e \right)}{2 \left(d g -e f \right) e \,g^{2}}+\frac{b d f n}{2 e \,g^{3}}-\frac{3 b \,f^{2} n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g^{4}}+\frac{b \,x^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 g^{2}}-\frac{3 b \,f^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g^{4}}+\frac{9 b \,f^{2} n}{4 g^{4}}+\frac{a \,f^{3}}{\left(g x +f \right) g^{4}}+\frac{3 a \,f^{2} \ln \left(g x +f \right)}{g^{4}}+\frac{b \,x^{2} \ln \left(c \right)}{2 g^{2}}-\frac{b \,d^{3} n \ln \left(d g -e f +\left(g x +f \right) e \right)}{2 \left(d g -e f \right) e^{2} g}+\frac{2 b d \,f^{2} n \ln \left(d g -e f +\left(g x +f \right) e \right)}{\left(d g -e f \right) g^{3}}+\frac{b e \,f^{3} n \ln \left(d g -e f +\left(g x +f \right) e \right)}{\left(d g -e f \right) g^{4}}-\frac{b e \,f^{3} n \ln \left(g x +f \right)}{\left(d g -e f \right) g^{4}}+\frac{a \,x^{2}}{2 g^{2}}+\frac{i \pi  b \,f^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(g x +f \right) g^{4}}+\frac{3 i \pi  b \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{4}}+\frac{3 i \pi  b \,f^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{4}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 g^{2}}+\frac{i \pi  b \,f^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(g x +f \right) g^{4}}+\frac{2 b f n x}{g^{3}}+\frac{b \,f^{3} \ln \left(c \right)}{\left(g x +f \right) g^{4}}+\frac{3 b \,f^{2} \ln \left(c \right) \ln \left(g x +f \right)}{g^{4}}-\frac{2 b f x \ln \left(c \right)}{g^{3}}-\frac{i \pi  b f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{g^{3}}-\frac{i \pi  b f x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{g^{3}}-\frac{2 b f x \ln \left(\left(e x +d \right)^{n}\right)}{g^{3}}+\frac{b \,f^{3} \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) g^{4}}+\frac{3 b \,f^{2} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g^{4}}-\frac{2 a f x}{g^{3}}-\frac{b n \,x^{2}}{4 g^{2}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g^{2}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g^{2}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 g^{2}}+\frac{b d n x}{2 e \,g^{2}}-\frac{i \pi  b \,f^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \left(g x +f \right) g^{4}}-\frac{i \pi  b \,f^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \left(g x +f \right) g^{4}}-\frac{3 i \pi  b \,f^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g^{4}}+\frac{i \pi  b f x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{g^{3}}-\frac{3 i \pi  b \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 g^{4}}+\frac{i \pi  b f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{g^{3}}"," ",0,"3/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^4*f^2*ln(g*x+f)+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*f^3/g^4/(g*x+f)-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*x^2-3/2*b/e*n/g^2/(d*g-e*f)*ln(d*g-e*f+(g*x+f)*e)*d^2*f+1/2*b/e*n/g^3*d*f-3*b*n/g^4*f^2*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*x^2+3/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^4*f^2*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*f^3/g^4/(g*x+f)-I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^3*x*f-I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^3*x*f+1/2*b*ln((e*x+d)^n)/g^2*x^2+9/4*b*n/g^4*f^2+a*f^3/g^4/(g*x+f)+3*a/g^4*f^2*ln(g*x+f)+1/2*b*ln(c)/g^2*x^2-1/2*b/e^2*n/g/(d*g-e*f)*ln(d*g-e*f+(g*x+f)*e)*d^3+2*b*n/g^3/(d*g-e*f)*ln(d*g-e*f+(g*x+f)*e)*d*f^2+b*e*n/g^4/(d*g-e*f)*ln(d*g-e*f+(g*x+f)*e)*f^3-b*e*n/g^4*f^3/(d*g-e*f)*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*f^3/g^4/(g*x+f)+I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^3*x*f+1/2*a/g^2*x^2+2*b*f*n*x/g^3+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*x^2+b*ln(c)*f^3/g^4/(g*x+f)+3*b*ln(c)/g^4*f^2*ln(g*x+f)-2*b*ln(c)/g^3*x*f-3*b*n/g^4*f^2*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-3/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^4*f^2*ln(g*x+f)-3/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^4*f^2*ln(g*x+f)-2*b*ln((e*x+d)^n)/g^3*x*f+b*ln((e*x+d)^n)*f^3/g^4/(g*x+f)+3*b*ln((e*x+d)^n)/g^4*f^2*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*f^3/g^4/(g*x+f)-2*a*f*x/g^3-1/4*b*n*x^2/g^2+1/2*b*d*n*x/e/g^2+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*x^2+I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^3*x*f","C"
250,1,791,186,0.269000," ","int(x^2*(b*ln(c*(e*x+d)^n)+a)/(g*x+f)^2,x)","\frac{b x \ln \left(\left(e x +d \right)^{n}\right)}{g^{2}}-\frac{a \,f^{2}}{\left(g x +f \right) g^{3}}-\frac{2 a f \ln \left(g x +f \right)}{g^{3}}+\frac{b x \ln \left(c \right)}{g^{2}}+\frac{2 b f n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g^{3}}-\frac{b e \,f^{2} n \ln \left(d g -e f +\left(g x +f \right) e \right)}{\left(d g -e f \right) g^{3}}+\frac{b e \,f^{2} n \ln \left(g x +f \right)}{\left(d g -e f \right) g^{3}}+\frac{b \,d^{2} n \ln \left(d g -e f +\left(g x +f \right) e \right)}{\left(d g -e f \right) e g}-\frac{b d f n \ln \left(d g -e f +\left(g x +f \right) e \right)}{\left(d g -e f \right) g^{2}}-\frac{b f n}{g^{3}}+\frac{2 b f n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g^{3}}-\frac{b \,f^{2} \ln \left(c \right)}{\left(g x +f \right) g^{3}}-\frac{2 b f \ln \left(c \right) \ln \left(g x +f \right)}{g^{3}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g^{2}}-\frac{2 b f \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g^{3}}-\frac{b \,f^{2} \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) g^{3}}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 g^{2}}-\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(g x +f \right) g^{3}}-\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(g x +f \right) g^{3}}-\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{g^{3}}-\frac{i \pi  b f \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{g^{3}}-\frac{i \pi  b x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 g^{2}}+\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \left(g x +f \right) g^{3}}+\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g^{3}}+\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \left(g x +f \right) g^{3}}+\frac{i \pi  b f \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{g^{3}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g^{2}}+\frac{a x}{g^{2}}-\frac{b n x}{g^{2}}"," ",0,"-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*f^2/g^3/(g*x+f)-I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^3*f*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*x-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*f^2/g^3/(g*x+f)-I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^3*f*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*x+b*ln((e*x+d)^n)/g^2*x-a*f^2/g^3/(g*x+f)-2*a/g^3*f*ln(g*x+f)+b*ln(c)/g^2*x+2*b*n/g^3*f*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-b*e*n/g^3/(d*g-e*f)*ln(d*g-e*f+(g*x+f)*e)*f^2+b*e*n/g^3*f^2/(d*g-e*f)*ln(g*x+f)+b/e*n/g/(d*g-e*f)*ln(d*g-e*f+(g*x+f)*e)*d^2-b*n/g^2/(d*g-e*f)*ln(d*g-e*f+(g*x+f)*e)*d*f+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*f^2/g^3/(g*x+f)-b*n/g^3*f+2*b*n/g^3*f*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-b*ln(c)*f^2/g^3/(g*x+f)-2*b*ln(c)/g^3*f*ln(g*x+f)+I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^3*f*ln(g*x+f)+I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^3*f*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*x+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*x-2*b*ln((e*x+d)^n)/g^3*f*ln(g*x+f)-b*ln((e*x+d)^n)*f^2/g^3/(g*x+f)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*f^2/g^3/(g*x+f)+a*x/g^2-b*n*x/g^2","C"
251,1,519,138,0.231000," ","int(x*(b*ln(c*(e*x+d)^n)+a)/(g*x+f)^2,x)","\frac{b e f n \ln \left(d g -e f +\left(g x +f \right) e \right)}{\left(d g -e f \right) g^{2}}-\frac{b e f n \ln \left(g x +f \right)}{\left(d g -e f \right) g^{2}}-\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \left(g x +f \right) g^{2}}+\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(g x +f \right) g^{2}}+\frac{i \pi  b f \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(g x +f \right) g^{2}}-\frac{i \pi  b f \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \left(g x +f \right) g^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 g^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 g^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 g^{2}}-\frac{b n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{g^{2}}+\frac{b f \ln \left(c \right)}{\left(g x +f \right) g^{2}}+\frac{b f \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) g^{2}}-\frac{b n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{g^{2}}+\frac{b \ln \left(c \right) \ln \left(g x +f \right)}{g^{2}}+\frac{b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{g^{2}}+\frac{a f}{\left(g x +f \right) g^{2}}+\frac{a \ln \left(g x +f \right)}{g^{2}}"," ",0,"b*ln((e*x+d)^n)*f/g^2/(g*x+f)+b*ln((e*x+d)^n)/g^2*ln(g*x+f)-b*n/g^2*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-b*n/g^2*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+b*e*n/g^2*f/(d*g-e*f)*ln(d*g-e*f+(g*x+f)*e)-b*e*n/g^2*f/(d*g-e*f)*ln(g*x+f)+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*f/g^2/(g*x+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*f/g^2/(g*x+f)-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*f/g^2/(g*x+f)-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*ln(g*x+f)+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*f/g^2/(g*x+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*ln(g*x+f)+b*ln(c)*f/g^2/(g*x+f)+b*ln(c)/g^2*ln(g*x+f)+a*f/g^2/(g*x+f)+a/g^2*ln(g*x+f)","C"
252,1,354,76,0.068000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x+f)^2,x)","-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) g}-\frac{-i \pi  b d g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b d g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b d g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b d g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+i \pi  b e f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)-i \pi  b e f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b e f \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b e f \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b e g n x \ln \left(e x +d \right)-2 b e g n x \ln \left(-g x -f \right)+2 b e f n \ln \left(e x +d \right)-2 b e f n \ln \left(-g x -f \right)+2 b d g \ln \left(c \right)-2 b e f \ln \left(c \right)+2 a d g -2 a e f}{2 \left(g x +f \right) \left(d g -e f \right) g}"," ",0,"-b/g/(g*x+f)*ln((e*x+d)^n)-1/2*(-I*Pi*b*e*f*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*e*f*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*d*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*e*f*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*d*g*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*e*f*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*d*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*d*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-2*b*e*g*n*x*ln(-g*x-f)+2*b*e*g*n*x*ln(e*x+d)-2*b*e*f*n*ln(-g*x-f)+2*b*e*f*n*ln(e*x+d)+2*b*d*g*ln(c)-2*b*e*f*ln(c)+2*a*d*g-2*a*e*f)/(g*x+f)/g/(d*g-e*f)","C"
253,1,694,179,0.260000," ","int((b*ln(c*(e*x+d)^n)+a)/x/(g*x+f)^2,x)","-\frac{b n \dilog \left(\frac{e x +d}{d}\right)}{f^{2}}+\frac{b n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{f^{2}}-\frac{b e n \ln \left(g x +f \right)}{\left(d g -e f \right) f}+\frac{b e n \ln \left(e x +d \right)}{\left(d g -e f \right) f}+\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) f}+\frac{b \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)}{f^{2}}-\frac{b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{f^{2}}-\frac{a \ln \left(g x +f \right)}{f^{2}}+\frac{a}{\left(g x +f \right) f}+\frac{a \ln \left(x \right)}{f^{2}}-\frac{b \ln \left(c \right) \ln \left(g x +f \right)}{f^{2}}+\frac{b \ln \left(c \right)}{\left(g x +f \right) f}+\frac{b \ln \left(c \right) \ln \left(x \right)}{f^{2}}-\frac{b n \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)}{f^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \left(g x +f \right) f}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{2 f^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 f^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(g x +f \right) f}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(g x +f \right) f}+\frac{b n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{f^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 f^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 f^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 f^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \left(g x +f \right) f}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{2 f^{2}}"," ",0,"-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*ln(x)-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f/(g*x+f)-b*e*n/f/(d*g-e*f)*ln(g*x+f)+b*e*n/f/(d*g-e*f)*ln(e*x+d)+b*ln((e*x+d)^n)/f/(g*x+f)+b*ln((e*x+d)^n)/f^2*ln(x)-b*ln((e*x+d)^n)/f^2*ln(g*x+f)-b*n/f^2*dilog((e*x+d)/d)+b*n/f^2*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-a/f^2*ln(g*x+f)+a/f/(g*x+f)+a/f^2*ln(x)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*ln(x)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f/(g*x+f)-b*ln(c)/f^2*ln(g*x+f)+b*ln(c)/f/(g*x+f)+b*ln(c)/f^2*ln(x)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*ln(g*x+f)-b*n/f^2*ln(x)*ln((e*x+d)/d)+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*ln(x)+b*n/f^2*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f/(g*x+f)-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f/(g*x+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*ln(x)-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*ln(g*x+f)","C"
254,1,936,242,0.247000," ","int((b*ln(c*(e*x+d)^n)+a)/x^2/(g*x+f)^2,x)","-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{f^{2} x}+\frac{2 a g \ln \left(g x +f \right)}{f^{3}}-\frac{2 a g \ln \left(x \right)}{f^{3}}-\frac{b \ln \left(c \right)}{f^{2} x}-\frac{a g}{\left(g x +f \right) f^{2}}-\frac{2 b g \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)}{f^{3}}-\frac{a}{f^{2} x}+\frac{b e g n \ln \left(g x +f \right)}{\left(d g -e f \right) f^{2}}-\frac{2 b e g n \ln \left(e x +d \right)}{\left(d g -e f \right) f^{2}}+\frac{b \,e^{2} n \ln \left(e x +d \right)}{\left(d g -e f \right) d f}+\frac{b e n \ln \left(x \right)}{d \,f^{2}}+\frac{2 b g n \dilog \left(\frac{e x +d}{d}\right)}{f^{3}}-\frac{2 b g n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{f^{3}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(g x +f \right) f^{2}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(g x +f \right) f^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 f^{2} x}-\frac{b g \ln \left(c \right)}{\left(g x +f \right) f^{2}}-\frac{2 b g \ln \left(c \right) \ln \left(x \right)}{f^{3}}+\frac{2 b g \ln \left(c \right) \ln \left(g x +f \right)}{f^{3}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{f^{3}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{f^{3}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{f^{3}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{f^{3}}+\frac{2 b g n \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)}{f^{3}}-\frac{2 b g n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{f^{3}}-\frac{b g \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) f^{2}}+\frac{2 b g \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{f^{3}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{f^{3}}+\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \left(g x +f \right) f^{2}}+\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{f^{3}}-\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{f^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 f^{2} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 f^{2} x}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 f^{2} x}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \left(g x +f \right) f^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{f^{3}}"," ",0,"-I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^3*g*ln(x)-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*g/(g*x+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2/x-I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^3*g*ln(x)-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*g/(g*x+f)+I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^3*g*ln(g*x+f)+I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^3*g*ln(g*x+f)-b*ln((e*x+d)^n)/f^2/x+2*a/f^3*g*ln(g*x+f)-2*a/f^3*g*ln(x)-b*ln(c)/f^2/x-a/f^2*g/(g*x+f)-2*b*ln((e*x+d)^n)/f^3*g*ln(x)-I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^3*g*ln(g*x+f)-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2/x-a/f^2/x+b*e*n/f^2*g/(d*g-e*f)*ln(g*x+f)-2*b*e*n/f^2/(d*g-e*f)*ln(e*x+d)*g+b*e^2*n/f/(d*g-e*f)/d*ln(e*x+d)+b*e*n*ln(x)/d/f^2-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2/x+2*b*n/f^3*g*dilog((e*x+d)/d)-2*b*n/f^3*g*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^3*g*ln(g*x+f)-b*ln(c)/f^2*g/(g*x+f)-2*b*ln(c)/f^3*g*ln(x)+2*b*ln(c)/f^3*g*ln(g*x+f)+I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^3*g*ln(x)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2/x+2*b*n/f^3*g*ln(x)*ln((e*x+d)/d)-2*b*n/f^3*g*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-b*ln((e*x+d)^n)/f^2*g/(g*x+f)+2*b*ln((e*x+d)^n)/f^3*g*ln(g*x+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*g/(g*x+f)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*g/(g*x+f)+I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^3*g*ln(x)","C"
255,1,1224,330,0.256000," ","int((b*ln(c*(e*x+d)^n)+a)/x^3/(g*x+f)^2,x)","-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{2 f^{2} x^{2}}+\frac{3 a \,g^{2} \ln \left(x \right)}{f^{4}}+\frac{a \,g^{2}}{\left(g x +f \right) f^{3}}+\frac{2 a g}{f^{3} x}-\frac{b \ln \left(c \right)}{2 f^{2} x^{2}}-\frac{3 a \,g^{2} \ln \left(g x +f \right)}{f^{4}}+\frac{2 b g \ln \left(c \right)}{f^{3} x}-\frac{3 b \,g^{2} \ln \left(c \right) \ln \left(g x +f \right)}{f^{4}}+\frac{3 b \,g^{2} \ln \left(c \right) \ln \left(x \right)}{f^{4}}+\frac{b \,g^{2} \ln \left(c \right)}{\left(g x +f \right) f^{3}}-\frac{a}{2 f^{2} x^{2}}-\frac{3 b \,e^{2} g n \ln \left(e x +d \right)}{2 \left(d g -e f \right) d \,f^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 f^{2} x^{2}}-\frac{b \,e^{2} n \ln \left(x \right)}{2 d^{2} f^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 f^{2} x^{2}}-\frac{3 b \,g^{2} n \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)}{f^{4}}+\frac{3 b \,g^{2} n \ln \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right) \ln \left(g x +f \right)}{f^{4}}-\frac{3 i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 f^{4}}+\frac{3 i \pi  b \,g^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f^{4}}-\frac{3 i \pi  b \,g^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g x +f \right)}{2 f^{4}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{f^{3} x}+\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{f^{3} x}+\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(g x +f \right) f^{3}}+\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(g x +f \right) f^{3}}+\frac{3 i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f^{4}}+\frac{b \,g^{2} \ln \left(\left(e x +d \right)^{n}\right)}{\left(g x +f \right) f^{3}}+\frac{3 b \,g^{2} \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)}{f^{4}}+\frac{2 b g \ln \left(\left(e x +d \right)^{n}\right)}{f^{3} x}-\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{f^{3} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 f^{2} x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 f^{2} x^{2}}-\frac{2 b e g n \ln \left(x \right)}{d \,f^{3}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{f^{3} x}-\frac{3 b \,g^{2} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{f^{4}}+\frac{3 i \pi  b \,g^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g x +f \right)}{2 f^{4}}+\frac{3 i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g x +f \right)}{2 f^{4}}-\frac{3 b \,g^{2} n \dilog \left(\frac{e x +d}{d}\right)}{f^{4}}+\frac{3 b \,g^{2} n \dilog \left(\frac{d g -e f +\left(g x +f \right) e}{d g -e f}\right)}{f^{4}}-\frac{b e n}{2 d \,f^{2} x}-\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \left(g x +f \right) f^{3}}-\frac{3 i \pi  b \,g^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{2 f^{4}}-\frac{i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \left(g x +f \right) f^{3}}-\frac{3 i \pi  b \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{2 f^{4}}-\frac{b e \,g^{2} n \ln \left(g x +f \right)}{\left(d g -e f \right) f^{3}}+\frac{3 b e \,g^{2} n \ln \left(e x +d \right)}{\left(d g -e f \right) f^{3}}-\frac{b \,e^{3} n \ln \left(e x +d \right)}{2 \left(d g -e f \right) d^{2} f}"," ",0,"-1/2*b*ln((e*x+d)^n)/f^2/x^2+3*a/f^4*g^2*ln(x)+a/f^3*g^2/(g*x+f)+2*a/f^3*g/x-1/2*b*ln(c)/f^2/x^2-3*a/f^4*g^2*ln(g*x+f)+2*b*ln(c)/f^3*g/x-3*b*ln(c)/f^4*g^2*ln(g*x+f)+3*b*ln(c)/f^4*g^2*ln(x)+b*ln(c)/f^3*g^2/(g*x+f)-1/2*a/f^2/x^2-3/2*b*e^2*n/f^2/d/(d*g-e*f)*ln(e*x+d)*g-3/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^4*g^2*ln(x)-3/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^4*g^2*ln(g*x+f)+1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2/x^2-1/2*b*e^2*n*ln(x)/d^2/f^2-3/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^4*g^2*ln(x)-I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^3*g/x+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^3*g^2/(g*x+f)+3/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^4*g^2*ln(x)-3*b*n/f^4*g^2*ln(x)*ln((e*x+d)/d)+3*b*n/f^4*g^2*ln(g*x+f)*ln((d*g-e*f+(g*x+f)*e)/(d*g-e*f))+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^3*g^2/(g*x+f)+I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^3*g/x+I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^3*g/x+b*ln((e*x+d)^n)/f^3*g^2/(g*x+f)+3*b*ln((e*x+d)^n)/f^4*g^2*ln(x)+2*b*ln((e*x+d)^n)/f^3*g/x-2*b*e*g*n*ln(x)/d/f^3-I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^3*g/x+3/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^4*g^2*ln(x)-3/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^4*g^2*ln(g*x+f)-3*b*ln((e*x+d)^n)/f^4*g^2*ln(g*x+f)+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2/x^2-3*b*n/f^4*g^2*dilog((e*x+d)/d)+3*b*n/f^4*g^2*dilog((d*g-e*f+(g*x+f)*e)/(d*g-e*f))-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^3*g^2/(g*x+f)+3/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^4*g^2*ln(g*x+f)-1/2*b*e*n/d/f^2/x-b*e*n/f^3*g^2/(d*g-e*f)*ln(g*x+f)+3*b*e*n/f^3/(d*g-e*f)*ln(e*x+d)*g^2-1/2*b*e^3*n/f/d^2/(d*g-e*f)*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^3*g^2/(g*x+f)+3/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^4*g^2*ln(g*x+f)-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2/x^2-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2/x^2","C"
256,1,905,341,0.312000," ","int(x^5*(b*ln(c*(e*x+d)^n)+a)/(g*x^2+f),x)","-\frac{b f \,x^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 g^{2}}-\frac{b f \,x^{2} \ln \left(c \right)}{2 g^{2}}+\frac{b \,f^{2} n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 g^{3}}+\frac{b \,f^{2} n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 g^{3}}-\frac{b \,f^{2} n \ln \left(e x +d \right) \ln \left(g \,x^{2}+f \right)}{2 g^{3}}+\frac{b \,x^{4} \ln \left(\left(e x +d \right)^{n}\right)}{4 g}+\frac{a \,f^{2} \ln \left(g \,x^{2}+f \right)}{2 g^{3}}+\frac{b \,x^{4} \ln \left(c \right)}{4 g}+\frac{b \,f^{2} n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 g^{3}}+\frac{b \,f^{2} n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 g^{3}}-\frac{a f \,x^{2}}{2 g^{2}}+\frac{a \,x^{4}}{4 g}+\frac{b f n \,x^{2}}{4 g^{2}}-\frac{b \,d^{4} n \ln \left(e x +d \right)}{4 e^{4} g}-\frac{b d f n x}{2 e \,g^{2}}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{8 g}-\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{8 g}+\frac{b \,d^{2} f n \ln \left(e x +d \right)}{2 e^{2} g^{2}}+\frac{b \,f^{2} \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 g^{3}}-\frac{i \pi  b f \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g^{2}}-\frac{i \pi  b f \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g^{2}}+\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g^{3}}+\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g^{3}}+\frac{b \,f^{2} \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{2 g^{3}}-\frac{b n \,x^{4}}{16 g}+\frac{i \pi  b f \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 g^{2}}-\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{4 g^{3}}-\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{8 g}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{8 g}+\frac{i \pi  b f \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 g^{2}}-\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 g^{3}}+\frac{b \,d^{3} n x}{4 e^{3} g}-\frac{b \,d^{2} n \,x^{2}}{8 e^{2} g}+\frac{b d n \,x^{3}}{12 e g}"," ",0,"-1/2*b*f/g^2*x^2*ln((e*x+d)^n)-1/2*b*f/g^2*x^2*ln(c)+1/2*b*n*f^2/g^3*ln(e*x+d)*ln((e*(-f*g)^(1/2)-(e*x+d)*g+d*g)/(e*(-f*g)^(1/2)+d*g))+1/2*b*n*f^2/g^3*ln(e*x+d)*ln((e*(-f*g)^(1/2)+(e*x+d)*g-d*g)/(e*(-f*g)^(1/2)-d*g))-1/2*b*n*f^2/g^3*ln(e*x+d)*ln(g*x^2+f)+1/4*b*ln((e*x+d)^n)/g*x^4+1/2*a*f^2/g^3*ln(g*x^2+f)+1/4*b*ln(c)/g*x^4-1/4*I*Pi*b*f/g^2*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/4*I*Pi*b*f/g^2*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/4*I*Pi*b*f/g^2*x^2*csgn(I*c*(e*x+d)^n)^3-1/2*a*f/g^2*x^2+1/4*I*Pi*b*f/g^2*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*f^2/g^3*ln(g*x^2+f)+1/4*a/g*x^4-1/8*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g*x^4+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*f^2/g^3*ln(g*x^2+f)+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*f^2/g^3*ln(g*x^2+f)+1/4*b*f/g^2*n*x^2-1/4*b*d^4*n*ln(e*x+d)/e^4/g-1/2*b*d/e*f/g^2*n*x+1/2*b*d^2*f*n*ln(e*x+d)/e^2/g^2+1/2*b*ln(c)*f^2/g^3*ln(g*x^2+f)+1/8*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g*x^4+1/2*b*n*f^2/g^3*dilog((e*(-f*g)^(1/2)-(e*x+d)*g+d*g)/(e*(-f*g)^(1/2)+d*g))+1/2*b*n*f^2/g^3*dilog((e*(-f*g)^(1/2)+(e*x+d)*g-d*g)/(e*(-f*g)^(1/2)-d*g))+1/2*b*ln((e*x+d)^n)*f^2/g^3*ln(g*x^2+f)-1/8*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g*x^4-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*f^2/g^3*ln(g*x^2+f)-1/16*b*n*x^4/g+1/8*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g*x^4+1/4*b*d^3*n*x/e^3/g-1/8*b*d^2*n*x^2/e^2/g+1/12*b*d*n*x^3/e/g","C"
257,1,631,234,0.263000," ","int(x^3*(b*ln(c*(e*x+d)^n)+a)/(g*x^2+f),x)","-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 g}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 g}+\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{4 g^{2}}-\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g^{2}}-\frac{i \pi  b f \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g^{2}}+\frac{i \pi  b f \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 g^{2}}-\frac{b f n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 g^{2}}-\frac{b f n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 g^{2}}+\frac{b f n \ln \left(e x +d \right) \ln \left(g \,x^{2}+f \right)}{2 g^{2}}-\frac{b n \,x^{2}}{4 g}+\frac{b \,x^{2} \ln \left(c \right)}{2 g}+\frac{b \,x^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 g}+\frac{a \,x^{2}}{2 g}-\frac{b \,d^{2} n \ln \left(e x +d \right)}{2 e^{2} g}+\frac{b d n x}{2 e g}-\frac{b f n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 g^{2}}-\frac{b f n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 g^{2}}-\frac{b f \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 g^{2}}-\frac{b f \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{2 g^{2}}-\frac{a f \ln \left(g \,x^{2}+f \right)}{2 g^{2}}"," ",0,"1/2*b/g*x^2*ln((e*x+d)^n)-1/2*b*ln((e*x+d)^n)*f/g^2*ln(g*x^2+f)-1/4*b/g*n*x^2+1/2*b*d/e/g*n*x-1/2*b*d^2*n*ln(e*x+d)/e^2/g+1/2*b*n*f/g^2*ln(e*x+d)*ln(g*x^2+f)-1/2*b*n*f/g^2*ln(e*x+d)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*b*n*f/g^2*ln(e*x+d)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/2*b*n*f/g^2*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*b*n*f/g^2*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*f/g^2*ln(g*x^2+f)-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*f/g^2*ln(g*x^2+f)+1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*f/g^2*ln(g*x^2+f)+1/4*I*Pi*b/g*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/4*I*Pi*b/g*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/4*I*Pi*b/g*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*f/g^2*ln(g*x^2+f)-1/4*I*Pi*b/g*x^2*csgn(I*c*(e*x+d)^n)^3+1/2*b/g*x^2*ln(c)-1/2*b*ln(c)*f/g^2*ln(g*x^2+f)+1/2*a/g*x^2-1/2*a*f/g^2*ln(g*x^2+f)","C"
258,1,411,167,0.221000," ","int(x*(b*ln(c*(e*x+d)^n)+a)/(g*x^2+f),x)","-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{4 g}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 g}+\frac{b n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 g}+\frac{b n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 g}-\frac{b n \ln \left(e x +d \right) \ln \left(g \,x^{2}+f \right)}{2 g}+\frac{b n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 g}+\frac{b n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 g}+\frac{b \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 g}+\frac{b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{2 g}+\frac{a \ln \left(g \,x^{2}+f \right)}{2 g}"," ",0,"1/2*b/g*ln(g*x^2+f)*ln((e*x+d)^n)-1/2*b/g*n*ln(e*x+d)*ln(g*x^2+f)+1/2*b/g*n*ln(e*x+d)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+1/2*b/g*n*ln(e*x+d)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*b/g*n*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+1/2*b/g*n*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/4*I/g*ln(g*x^2+f)*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/4*I/g*ln(g*x^2+f)*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/4*I/g*ln(g*x^2+f)*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/4*I/g*ln(g*x^2+f)*b*Pi*csgn(I*c*(e*x+d)^n)^3+1/2/g*ln(g*x^2+f)*b*ln(c)+1/2*a/g*ln(g*x^2+f)","C"
259,1,604,209,0.231000," ","int((b*ln(c*(e*x+d)^n)+a)/x/(g*x^2+f),x)","-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{2 f}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{4 f}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 f}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 f}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{2 f}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 f}-\frac{b n \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)}{f}-\frac{b n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 f}-\frac{b n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 f}+\frac{b n \ln \left(e x +d \right) \ln \left(g \,x^{2}+f \right)}{2 f}-\frac{b n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 f}-\frac{b n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 f}-\frac{b n \dilog \left(\frac{e x +d}{d}\right)}{f}+\frac{b \ln \left(c \right) \ln \left(x \right)}{f}-\frac{b \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 f}+\frac{b \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)}{f}-\frac{b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{2 f}+\frac{a \ln \left(x \right)}{f}-\frac{a \ln \left(g \,x^{2}+f \right)}{2 f}"," ",0,"-1/2*b*ln((e*x+d)^n)/f*ln(g*x^2+f)+b/f*ln(x)*ln((e*x+d)^n)-b*n/f*dilog((e*x+d)/d)-b/f*n*ln(x)*ln((e*x+d)/d)+1/2*b*n/f*ln(e*x+d)*ln(g*x^2+f)-1/2*b*n/f*ln(e*x+d)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*b*n/f*ln(e*x+d)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/2*b*n/f*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*b*n/f*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*I*Pi*b/f*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*ln(x)+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f*ln(g*x^2+f)-1/2*I*Pi*b/f*csgn(I*c*(e*x+d)^n)^3*ln(x)-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f*ln(g*x^2+f)-1/2*I*Pi*b/f*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*ln(x)+1/2*I*Pi*b/f*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*ln(x)+1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f*ln(g*x^2+f)-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f*ln(g*x^2+f)-1/2*b*ln(c)/f*ln(g*x^2+f)+b/f*ln(c)*ln(x)-1/2*a/f*ln(g*x^2+f)+a/f*ln(x)","C"
260,1,841,290,0.246000," ","int((b*ln(c*(e*x+d)^n)+a)/x^3/(g*x^2+f),x)","-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f^{2}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f^{2}}+\frac{a g \ln \left(g \,x^{2}+f \right)}{2 f^{2}}-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{2 f \,x^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 f^{2}}-\frac{b g n \ln \left(e x +d \right) \ln \left(g \,x^{2}+f \right)}{2 f^{2}}+\frac{b g n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 f^{2}}+\frac{b g n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 f^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 f^{2}}+\frac{b g n \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)}{f^{2}}-\frac{a}{2 f \,x^{2}}-\frac{a g \ln \left(x \right)}{f^{2}}-\frac{b \ln \left(c \right)}{2 f \,x^{2}}+\frac{b g \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{2 f^{2}}+\frac{b g n \dilog \left(\frac{e x +d}{d}\right)}{f^{2}}-\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 f^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 f \,x^{2}}-\frac{b g \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)}{f^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 f \,x^{2}}-\frac{b g \ln \left(c \right) \ln \left(x \right)}{f^{2}}+\frac{b g n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 f^{2}}+\frac{b g n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 f^{2}}-\frac{b \,e^{2} n \ln \left(x \right)}{2 d^{2} f}+\frac{b \,e^{2} n \ln \left(e x +d \right)}{2 d^{2} f}+\frac{b g \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 f^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{2 f^{2}}+\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{2 f^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 f \,x^{2}}-\frac{b e n}{2 d f x}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{4 f^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 f \,x^{2}}"," ",0,"-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*g*ln(x)-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*g*ln(x)+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*g*ln(g*x^2+f)+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*g*ln(g*x^2+f)+1/2*a/f^2*g*ln(g*x^2+f)-1/2*b/f/x^2*ln((e*x+d)^n)-1/2*b*n/f^2*g*ln(e*x+d)*ln(g*x^2+f)+1/2*b*n/f^2*g*ln(e*x+d)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+1/4*I*Pi*b/f/x^2*csgn(I*c*(e*x+d)^n)^3+1/2*b*n/f^2*g*ln(e*x+d)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/4*I*Pi*b/f/x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+b/f^2*g*n*ln(x)*ln((e*x+d)/d)-1/2*a/f/x^2-a/f^2*g*ln(x)-1/2*b/f/x^2*ln(c)+1/2*b*ln((e*x+d)^n)/f^2*g*ln(g*x^2+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*g*ln(x)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*g*ln(x)-b/f^2*g*ln(x)*ln((e*x+d)^n)-b/f^2*g*ln(c)*ln(x)+b*n/f^2*g*dilog((e*x+d)/d)-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*g*ln(g*x^2+f)-1/2*b/d^2*e^2/f*n*ln(x)+1/2*b/d^2*e^2/f*n*ln(e*x+d)+1/2*b*n/f^2*g*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*b*ln(c)/f^2*g*ln(g*x^2+f)+1/2*b*n/f^2*g*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/4*I*Pi*b/f/x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/4*I*Pi*b/f/x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*b/d*e/f*n/x-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*g*ln(g*x^2+f)","C"
261,1,982,307,0.319000," ","int(x^4*(b*ln(c*(e*x+d)^n)+a)/(g*x^2+f),x)","\frac{b \,x^{3} \ln \left(\left(e x +d \right)^{n}\right)}{3 g}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6 g}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6 g}+\frac{i \pi  b f x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 g^{2}}-\frac{b f x \ln \left(c \right)}{g^{2}}+\frac{b \,x^{3} \ln \left(c \right)}{3 g}+\frac{i \pi  b f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 g^{2}}+\frac{b d f n}{e \,g^{2}}+\frac{a \,x^{3}}{3 g}-\frac{11 b \,d^{3} n}{18 e^{3} g}+\frac{b \,d^{3} \ln \left(\left(e x +d \right)^{n}\right)}{3 e^{3} g}+\frac{b \,f^{2} n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}\, g^{2}}-\frac{b \,f^{2} n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(e x +d \right)}{\sqrt{f g}\, g^{2}}-\frac{b \,f^{2} n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 \sqrt{-f g}\, g^{2}}+\frac{b \,f^{2} n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 \sqrt{-f g}\, g^{2}}-\frac{b f x \ln \left(\left(e x +d \right)^{n}\right)}{g^{2}}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{6 g}-\frac{i \pi  b \,f^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \sqrt{f g}\, g^{2}}-\frac{i \pi  b f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g^{2}}-\frac{i \pi  b f x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g^{2}}-\frac{i \pi  b \,f^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \sqrt{f g}\, g^{2}}-\frac{b \,f^{2} n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}\, g^{2}}+\frac{a \,f^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}\, g^{2}}+\frac{b \,f^{2} \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(\left(e x +d \right)^{n}\right)}{\sqrt{f g}\, g^{2}}+\frac{b f n x}{g^{2}}-\frac{b n \,x^{3}}{9 g}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{6 g}+\frac{b \,f^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}\, g^{2}}-\frac{b d f \ln \left(\left(e x +d \right)^{n}\right)}{e \,g^{2}}-\frac{b \,d^{2} n x}{3 e^{2} g}+\frac{b d n \,x^{2}}{6 e g}+\frac{i \pi  b \,f^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \sqrt{f g}\, g^{2}}+\frac{i \pi  b \,f^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \sqrt{f g}\, g^{2}}-\frac{a f x}{g^{2}}"," ",0,"1/3*b*ln((e*x+d)^n)/g*x^3-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*f^2/g^2/(f*g)^(1/2)*arctan(x*g/(f*g)^(1/2))-b*f/g^2*x*ln(c)+1/3*b/g*x^3*ln(c)+b*d/e*f/g^2*n-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*x*f+1/3*a/g*x^3-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*x*f+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*f^2/g^2/(f*g)^(1/2)*arctan(x*g/(f*g)^(1/2))-11/18*b/e^3*n/g*d^3+1/3*b/e^3/g*d^3*ln((e*x+d)^n)+1/2*b*n*f^2/g^2*ln(e*x+d)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-b*f^2/g^2/(f*g)^(1/2)*arctan(1/2*(2*(e*x+d)*g-2*d*g)/e/(f*g)^(1/2))*n*ln(e*x+d)-b*ln((e*x+d)^n)/g^2*x*f-1/6*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g*x^3-1/2*b*n*f^2/g^2*ln(e*x+d)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+a*f^2/g^2/(f*g)^(1/2)*arctan(x*g/(f*g)^(1/2))+b*f^2/g^2/(f*g)^(1/2)*arctan(1/2*(2*(e*x+d)*g-2*d*g)/e/(f*g)^(1/2))*ln((e*x+d)^n)+b*f/g^2*n*x+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*f^2/g^2/(f*g)^(1/2)*arctan(x*g/(f*g)^(1/2))+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*x*f-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*f^2/g^2/(f*g)^(1/2)*arctan(x*g/(f*g)^(1/2))-1/9*b/g*n*x^3+1/6*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g*x^3-1/6*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g*x^3+b*ln(c)*f^2/g^2/(f*g)^(1/2)*arctan(x*g/(f*g)^(1/2))-1/2*b*n*f^2/g^2/(-f*g)^(1/2)*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*b*n*f^2/g^2/(-f*g)^(1/2)*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-b/e/g^2*f*d*ln((e*x+d)^n)-1/3*b*d^2/e^2/g*n*x+1/6*b*d/e/g*n*x^2+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*x*f-a*f/g^2*x+1/6*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g*x^3","C"
262,1,710,224,0.305000," ","int(x^2*(b*ln(c*(e*x+d)^n)+a)/(g*x^2+f),x)","\frac{i \pi  b f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \sqrt{f g}\, g}-\frac{i \pi  b f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \sqrt{f g}\, g}-\frac{i \pi  b f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \sqrt{f g}\, g}+\frac{i \pi  b f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \sqrt{f g}\, g}+\frac{b f n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(e x +d \right)}{\sqrt{f g}\, g}-\frac{b f n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}\, g}+\frac{b f n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}\, g}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 g}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g}+\frac{i \pi  b x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g}-\frac{i \pi  b x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 g}-\frac{b f n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 \sqrt{-f g}\, g}+\frac{b f n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 \sqrt{-f g}\, g}-\frac{b f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}\, g}-\frac{b f \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(\left(e x +d \right)^{n}\right)}{\sqrt{f g}\, g}-\frac{a f \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}\, g}-\frac{b n x}{g}+\frac{b x \ln \left(c \right)}{g}+\frac{b x \ln \left(\left(e x +d \right)^{n}\right)}{g}+\frac{a x}{g}-\frac{b d n}{e g}+\frac{b d \ln \left(\left(e x +d \right)^{n}\right)}{e g}"," ",0,"b/g*x*ln((e*x+d)^n)+b/e/g*d*ln((e*x+d)^n)+b*f/g/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*n*ln(e*x+d)-b*f/g/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*ln((e*x+d)^n)-b/g*n*x-b/e*n/g*d-1/2*b*n*f/g*ln(e*x+d)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+1/2*b*n*f/g*ln(e*x+d)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/2*b*n*f/g/(-f*g)^(1/2)*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+1/2*b*n*f/g/(-f*g)^(1/2)*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*f/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*Pi*b/g*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I*Pi*b/g*x*csgn(I*c*(e*x+d)^n)^3-1/2*I*Pi*b/g*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*f/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*f/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*f/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*Pi*b/g*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+b/g*x*ln(c)-b*ln(c)*f/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+a/g*x-a*f/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)","C"
263,1,474,187,0.348000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x^2+f),x)","-\frac{i \pi  b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \sqrt{f g}}+\frac{i \pi  b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \sqrt{f g}}+\frac{i \pi  b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \sqrt{f g}}-\frac{i \pi  b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \sqrt{f g}}-\frac{b n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(e x +d \right)}{\sqrt{f g}}+\frac{b n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}}-\frac{b n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}}+\frac{b n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 \sqrt{-f g}}-\frac{b n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 \sqrt{-f g}}+\frac{b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}}+\frac{b \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(\left(e x +d \right)^{n}\right)}{\sqrt{f g}}+\frac{a \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}}"," ",0,"-b/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*n*ln(e*x+d)+b/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*ln((e*x+d)^n)+1/2*b*n*ln(e*x+d)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*b*n*ln(e*x+d)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*b*n/(-f*g)^(1/2)*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*b*n/(-f*g)^(1/2)*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*b*Pi*csgn(I*c*(e*x+d)^n)^3+1/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*b*ln(c)+a/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)","C"
264,1,722,240,0.464000," ","int((b*ln(c*(e*x+d)^n)+a)/x^2/(g*x^2+f),x)","\frac{i \pi  b g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \sqrt{f g}\, f}-\frac{i \pi  b g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \sqrt{f g}\, f}-\frac{i \pi  b g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \sqrt{f g}\, f}+\frac{i \pi  b g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \sqrt{f g}\, f}+\frac{b g n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(e x +d \right)}{\sqrt{f g}\, f}-\frac{b g n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}\, f}+\frac{b g n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}\, f}-\frac{b g n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 \sqrt{-f g}\, f}+\frac{b g n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 \sqrt{-f g}\, f}-\frac{b g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}\, f}-\frac{b g \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(\left(e x +d \right)^{n}\right)}{\sqrt{f g}\, f}-\frac{a g \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}\, f}+\frac{b e n \ln \left(e x \right)}{d f}-\frac{b e n \ln \left(e x +d \right)}{d f}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 f x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 f x}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 f x}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 f x}-\frac{b \ln \left(c \right)}{f x}-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{f x}-\frac{a}{f x}"," ",0,"-b/f/x*ln((e*x+d)^n)+b/f*g/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*n*ln(e*x+d)-b/f*g/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*ln((e*x+d)^n)+b*e*n/f/d*ln(e*x)-b/d*e/f*n*ln(e*x+d)-1/2*b*n/f*g*ln(e*x+d)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+1/2*b*n/f*g*ln(e*x+d)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/2*b*n/f*g/(-f*g)^(1/2)*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+1/2*b*n/f*g/(-f*g)^(1/2)*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f/x-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f/x-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f/x+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f/x-b/f/x*ln(c)-b*ln(c)/f*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-a/f/x-a/f*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)","C"
265,1,983,329,0.487000," ","int((b*ln(c*(e*x+d)^n)+a)/x^4/(g*x^2+f),x)","-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{3 f \,x^{3}}-\frac{b \ln \left(c \right)}{3 f \,x^{3}}-\frac{a}{3 f \,x^{3}}+\frac{a g}{f^{2} x}+\frac{b g \ln \left(c \right)}{f^{2} x}-\frac{b \,e^{3} n \ln \left(e x +d \right)}{3 d^{3} f}+\frac{a \,g^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}\, f^{2}}+\frac{b e g n \ln \left(e x +d \right)}{d \,f^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{6 f \,x^{3}}+\frac{b g \ln \left(\left(e x +d \right)^{n}\right)}{f^{2} x}-\frac{i \pi  b \,g^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \sqrt{f g}\, f^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 f^{2} x}+\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 f^{2} x}-\frac{b \,g^{2} n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 \sqrt{-f g}\, f^{2}}-\frac{i \pi  b \,g^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \sqrt{f g}\, f^{2}}+\frac{i \pi  b \,g^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \sqrt{f g}\, f^{2}}+\frac{i \pi  b \,g^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \sqrt{f g}\, f^{2}}+\frac{b \,g^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}\, f^{2}}+\frac{b \,g^{2} \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(\left(e x +d \right)^{n}\right)}{\sqrt{f g}\, f^{2}}+\frac{b \,e^{3} n \ln \left(e x \right)}{3 d^{3} f}-\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 f^{2} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6 f \,x^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6 f \,x^{3}}+\frac{b \,g^{2} n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 \sqrt{-f g}\, f^{2}}-\frac{b \,g^{2} n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(e x +d \right)}{\sqrt{f g}\, f^{2}}-\frac{b e g n \ln \left(e x \right)}{d \,f^{2}}+\frac{b \,g^{2} n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}\, f^{2}}-\frac{b \,g^{2} n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}\, f^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{6 f \,x^{3}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 f^{2} x}-\frac{b e n}{6 d f \,x^{2}}+\frac{b \,e^{2} n}{3 d^{2} f x}"," ",0,"-1/3*b/f/x^3*ln((e*x+d)^n)-1/3*b*ln(c)/f/x^3-1/3*a/f/x^3+1/2*I*Pi*b/f^2*g/x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I*Pi*b/f^2*g/x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+a/f^2*g/x+1/2*I*Pi*b/f^2*g/x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+b/f^2*g/x*ln(c)+1/6*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f/x^3-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*g^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/3*b*e^3*n*ln(e*x+d)/d^3/f-1/6*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f/x^3+a/f^2*g^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+b/d*e/f^2*g*n*ln(e*x+d)+b/f^2*g/x*ln((e*x+d)^n)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*g^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+b*ln(c)/f^2*g^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+b*g^2/f^2/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*ln((e*x+d)^n)-1/2*b*n*g^2/f^2/(-f*g)^(1/2)*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/3*b*e^3*n/f/d^3*ln(e*x)+1/2*b*n*g^2/f^2/(-f*g)^(1/2)*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+1/6*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f/x^3-1/6*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f/x^3+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*g^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*g^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*I*Pi*b/f^2*g/x*csgn(I*c*(e*x+d)^n)^3-b*g^2/f^2/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*n*ln(e*x+d)-b*e*n/f^2*g/d*ln(e*x)+1/2*b*n*g^2/f^2*ln(e*x+d)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*b*n*g^2/f^2*ln(e*x+d)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/6*b*e*n/d/f/x^2+1/3*b*e^2*n/d^2/f/x","C"
266,1,1008,365,0.276000," ","int(x^5*(b*ln(c*(e*x+d)^n)+a)/(g*x^2+f)^2,x)","\frac{b d e \,f^{2} n \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{2 \left(d^{2} g +f \,e^{2}\right) \sqrt{f g}\, g^{2}}+\frac{b \,x^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 g^{2}}-\frac{a \,f^{2}}{2 \left(g \,x^{2}+f \right) g^{3}}-\frac{a f \ln \left(g \,x^{2}+f \right)}{g^{3}}+\frac{b \,x^{2} \ln \left(c \right)}{2 g^{2}}+\frac{a \,x^{2}}{2 g^{2}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 g^{2}}-\frac{b \,d^{4} n \ln \left(e x +d \right)}{2 \left(d^{2} g +f \,e^{2}\right) e^{2} g}-\frac{b \,d^{2} f n \ln \left(e x +d \right)}{2 \left(d^{2} g +f \,e^{2}\right) g^{2}}-\frac{b f \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{g^{3}}-\frac{b \,f^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g \,x^{2}+f \right) g^{3}}-\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) g^{3}}-\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) g^{3}}+\frac{b \,e^{2} f^{2} n \ln \left(e x +d \right)}{2 \left(d^{2} g +f \,e^{2}\right) g^{3}}-\frac{b \,e^{2} f^{2} n \ln \left(g \,x^{2}+f \right)}{4 \left(d^{2} g +f \,e^{2}\right) g^{3}}-\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{2 g^{3}}-\frac{i \pi  b f \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{2 g^{3}}+\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 \left(g \,x^{2}+f \right) g^{3}}-\frac{b f n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{g^{3}}-\frac{b f n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{g^{3}}-\frac{b f \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{g^{3}}-\frac{b \,f^{2} \ln \left(c \right)}{2 \left(g \,x^{2}+f \right) g^{3}}+\frac{b f n \ln \left(e x +d \right) \ln \left(g \,x^{2}+f \right)}{g^{3}}-\frac{b f n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{g^{3}}-\frac{b f n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{g^{3}}-\frac{b n \,x^{2}}{4 g^{2}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g^{2}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 g^{2}}+\frac{b d n x}{2 e \,g^{2}}+\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{2 g^{3}}+\frac{i \pi  b \,f^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \left(g \,x^{2}+f \right) g^{3}}+\frac{i \pi  b f \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g \,x^{2}+f \right)}{2 g^{3}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 g^{2}}"," ",0,"1/2*b*e*n/g^2*f^2/(d^2*g+e^2*f)*d/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*f/g^3*ln(g*x^2+f)-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*f^2/g^3/(g*x^2+f)+1/2*b*ln((e*x+d)^n)/g^2*x^2-1/2*a*f^2/g^3/(g*x^2+f)-a*f/g^3*ln(g*x^2+f)+1/2*b/g^2*x^2*ln(c)+1/2*a/g^2*x^2-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*x^2-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*f^2/g^3/(g*x^2+f)-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*f/g^3*ln(g*x^2+f)+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*x^2+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*x^2-1/2*b/e^2*n/g/(d^2*g+e^2*f)*ln(e*x+d)*d^4-1/2*b*n/g^2/(d^2*g+e^2*f)*ln(e*x+d)*d^2*f-b*ln((e*x+d)^n)*f/g^3*ln(g*x^2+f)-1/2*b*ln((e*x+d)^n)*f^2/g^3/(g*x^2+f)-b*n*f/g^3*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-b*n*f/g^3*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*b*e^2*f^2*n*ln(e*x+d)/g^3/(d^2*g+e^2*f)-1/4*b*e^2*f^2*n*ln(g*x^2+f)/g^3/(d^2*g+e^2*f)-b*ln(c)*f/g^3*ln(g*x^2+f)-1/2*b*ln(c)*f^2/g^3/(g*x^2+f)+1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*f^2/g^3/(g*x^2+f)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*f/g^3*ln(g*x^2+f)+b*n*f/g^3*ln(e*x+d)*ln(g*x^2+f)-b*n*f/g^3*ln(e*x+d)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-b*n*f/g^3*ln(e*x+d)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/4*b/g^2*n*x^2-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*x^2+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*f^2/g^3/(g*x^2+f)+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*f/g^3*ln(g*x^2+f)+1/2*b*d/e/g^2*n*x","C"
267,1,726,292,0.240000," ","int(x^3*(b*ln(c*(e*x+d)^n)+a)/(g*x^2+f)^2,x)","-\frac{b d e f n \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{2 \left(d^{2} g +f \,e^{2}\right) \sqrt{f g}\, g}-\frac{b \,e^{2} f n \ln \left(e x +d \right)}{2 \left(d^{2} g +f \,e^{2}\right) g^{2}}+\frac{b \,e^{2} f n \ln \left(g \,x^{2}+f \right)}{4 \left(d^{2} g +f \,e^{2}\right) g^{2}}-\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 \left(g \,x^{2}+f \right) g^{2}}+\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) g^{2}}+\frac{i \pi  b f \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) g^{2}}-\frac{i \pi  b f \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \left(g \,x^{2}+f \right) g^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{4 g^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 g^{2}}+\frac{b n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 g^{2}}+\frac{b n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 g^{2}}-\frac{b n \ln \left(e x +d \right) \ln \left(g \,x^{2}+f \right)}{2 g^{2}}+\frac{b f \ln \left(c \right)}{2 \left(g \,x^{2}+f \right) g^{2}}+\frac{b f \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g \,x^{2}+f \right) g^{2}}+\frac{b n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 g^{2}}+\frac{b n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 g^{2}}+\frac{b \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 g^{2}}+\frac{b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{2 g^{2}}+\frac{a f}{2 \left(g \,x^{2}+f \right) g^{2}}+\frac{a \ln \left(g \,x^{2}+f \right)}{2 g^{2}}"," ",0,"1/2*b*ln((e*x+d)^n)*f/g^2/(g*x^2+f)+1/2*b*ln((e*x+d)^n)/g^2*ln(g*x^2+f)-1/2*b*n/g^2*ln(e*x+d)*ln(g*x^2+f)+1/2*b*n/g^2*ln(e*x+d)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+1/2*b*n/g^2*ln(e*x+d)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*b*n/g^2*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+1/2*b*n/g^2*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/4*b*e^2*f*n*ln(g*x^2+f)/g^2/(d^2*g+e^2*f)-1/2*b*e*n*f/g/(d^2*g+e^2*f)*d/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*b*e^2*f*n*ln(e*x+d)/g^2/(d^2*g+e^2*f)+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*ln(g*x^2+f)+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*ln(g*x^2+f)-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*f/g^2/(g*x^2+f)-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*f/g^2/(g*x^2+f)-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*ln(g*x^2+f)+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*f/g^2/(g*x^2+f)-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*ln(g*x^2+f)+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*f/g^2/(g*x^2+f)+1/2*b*ln(c)*f/g^2/(g*x^2+f)+1/2*b*ln(c)/g^2*ln(g*x^2+f)+1/2*a*f/g^2/(g*x^2+f)+1/2*a/g^2*ln(g*x^2+f)","C"
268,1,765,126,0.563000," ","int(x*(b*ln(c*(e*x+d)^n)+a)/(g*x^2+f)^2,x)","-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g \,x^{2}+f \right) g}+\frac{2 b \,e^{2} g n \,x^{2} \ln \left(e x +d \right)+d^{2} g^{3} x^{2} \RootOf \left(2 \textit{\_Z} b \,e^{2} f g n +b^{2} e^{2} n^{2}+\left(d^{2} f \,g^{3}+e^{2} f^{2} g^{2}\right) \textit{\_Z}^{2}\right) \ln \left(4 \RootOf \left(2 \textit{\_Z} b \,e^{2} f g n +b^{2} e^{2} n^{2}+\left(d^{2} f \,g^{3}+e^{2} f^{2} g^{2}\right) \textit{\_Z}^{2}\right) d e f g +b d e n +\left(3 b \,e^{2} n +\left(-d^{2} g^{2}+3 e^{2} f g \right) \RootOf \left(2 \textit{\_Z} b \,e^{2} f g n +b^{2} e^{2} n^{2}+\left(d^{2} f \,g^{3}+e^{2} f^{2} g^{2}\right) \textit{\_Z}^{2}\right)\right) x \right)+e^{2} f \,g^{2} x^{2} \RootOf \left(2 \textit{\_Z} b \,e^{2} f g n +b^{2} e^{2} n^{2}+\left(d^{2} f \,g^{3}+e^{2} f^{2} g^{2}\right) \textit{\_Z}^{2}\right) \ln \left(4 \RootOf \left(2 \textit{\_Z} b \,e^{2} f g n +b^{2} e^{2} n^{2}+\left(d^{2} f \,g^{3}+e^{2} f^{2} g^{2}\right) \textit{\_Z}^{2}\right) d e f g +b d e n +\left(3 b \,e^{2} n +\left(-d^{2} g^{2}+3 e^{2} f g \right) \RootOf \left(2 \textit{\_Z} b \,e^{2} f g n +b^{2} e^{2} n^{2}+\left(d^{2} f \,g^{3}+e^{2} f^{2} g^{2}\right) \textit{\_Z}^{2}\right)\right) x \right)+i \pi  b \,e^{2} f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)-i \pi  b \,e^{2} f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \,d^{2} g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,d^{2} g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+i \pi  b \,d^{2} g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,e^{2} f \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-i \pi  b \,d^{2} g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \,e^{2} f \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+2 b \,e^{2} f n \ln \left(e x +d \right)+d^{2} f \,g^{2} \RootOf \left(2 \textit{\_Z} b \,e^{2} f g n +b^{2} e^{2} n^{2}+\left(d^{2} f \,g^{3}+e^{2} f^{2} g^{2}\right) \textit{\_Z}^{2}\right) \ln \left(4 \RootOf \left(2 \textit{\_Z} b \,e^{2} f g n +b^{2} e^{2} n^{2}+\left(d^{2} f \,g^{3}+e^{2} f^{2} g^{2}\right) \textit{\_Z}^{2}\right) d e f g +b d e n +\left(3 b \,e^{2} n +\left(-d^{2} g^{2}+3 e^{2} f g \right) \RootOf \left(2 \textit{\_Z} b \,e^{2} f g n +b^{2} e^{2} n^{2}+\left(d^{2} f \,g^{3}+e^{2} f^{2} g^{2}\right) \textit{\_Z}^{2}\right)\right) x \right)+e^{2} f^{2} g \RootOf \left(2 \textit{\_Z} b \,e^{2} f g n +b^{2} e^{2} n^{2}+\left(d^{2} f \,g^{3}+e^{2} f^{2} g^{2}\right) \textit{\_Z}^{2}\right) \ln \left(4 \RootOf \left(2 \textit{\_Z} b \,e^{2} f g n +b^{2} e^{2} n^{2}+\left(d^{2} f \,g^{3}+e^{2} f^{2} g^{2}\right) \textit{\_Z}^{2}\right) d e f g +b d e n +\left(3 b \,e^{2} n +\left(-d^{2} g^{2}+3 e^{2} f g \right) \RootOf \left(2 \textit{\_Z} b \,e^{2} f g n +b^{2} e^{2} n^{2}+\left(d^{2} f \,g^{3}+e^{2} f^{2} g^{2}\right) \textit{\_Z}^{2}\right)\right) x \right)-2 b \,d^{2} g \ln \left(c \right)-2 b \,e^{2} f \ln \left(c \right)-2 a \,d^{2} g -2 a \,e^{2} f}{4 \left(g \,x^{2}+f \right) \left(d^{2} g +f \,e^{2}\right) g}"," ",0,"-1/2*b/g/(g*x^2+f)*ln((e*x+d)^n)+1/4*(I*Pi*b*e^2*f*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*Pi*b*e^2*f*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*d^2*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*d^2*g*csgn(I*c*(e*x+d)^n)^3+I*Pi*b*d^2*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*e^2*f*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*d^2*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*e^2*f*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+2*ln(e*x+d)*b*e^2*g*n*x^2+sum(_R*ln(((-d^2*g^2+3*e^2*f*g)*_R+3*b*e^2*n)*x+4*d*e*f*g*_R+b*d*e*n),_R=RootOf((d^2*f*g^3+e^2*f^2*g^2)*_Z^2+2*b*e^2*f*g*n*_Z+b^2*e^2*n^2))*d^2*g^3*x^2+sum(_R*ln(((-d^2*g^2+3*e^2*f*g)*_R+3*b*e^2*n)*x+4*d*e*f*g*_R+b*d*e*n),_R=RootOf((d^2*f*g^3+e^2*f^2*g^2)*_Z^2+2*b*e^2*f*g*n*_Z+b^2*e^2*n^2))*e^2*f*g^2*x^2+2*ln(e*x+d)*b*e^2*f*n+sum(_R*ln(((-d^2*g^2+3*e^2*f*g)*_R+3*b*e^2*n)*x+4*d*e*f*g*_R+b*d*e*n),_R=RootOf((d^2*f*g^3+e^2*f^2*g^2)*_Z^2+2*b*e^2*f*g*n*_Z+b^2*e^2*n^2))*d^2*f*g^2+sum(_R*ln(((-d^2*g^2+3*e^2*f*g)*_R+3*b*e^2*n)*x+4*d*e*f*g*_R+b*d*e*n),_R=RootOf((d^2*f*g^3+e^2*f^2*g^2)*_Z^2+2*b*e^2*f*g*n*_Z+b^2*e^2*n^2))*e^2*f^2*g-2*ln(c)*b*d^2*g-2*ln(c)*b*e^2*f-2*a*d^2*g-2*a*e^2*f)/(g*x^2+f)/g/(d^2*g+e^2*f)","C"
269,1,910,331,0.250000," ","int((b*ln(c*(e*x+d)^n)+a)/x/(g*x^2+f)^2,x)","-\frac{b n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 f^{2}}-\frac{b n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 f^{2}}-\frac{b n \dilog \left(\frac{e x +d}{d}\right)}{f^{2}}-\frac{b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{2 f^{2}}+\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g \,x^{2}+f \right) f}+\frac{b \ln \left(c \right)}{2 \left(g \,x^{2}+f \right) f}-\frac{b \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 f^{2}}+\frac{a}{2 \left(g \,x^{2}+f \right) f}-\frac{a \ln \left(g \,x^{2}+f \right)}{2 f^{2}}+\frac{b \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)}{f^{2}}+\frac{a \ln \left(x \right)}{f^{2}}-\frac{b d e g n \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{2 \left(d^{2} g +f \,e^{2}\right) \sqrt{f g}\, f}+\frac{b \ln \left(c \right) \ln \left(x \right)}{f^{2}}-\frac{b n \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)}{f^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \left(g \,x^{2}+f \right) f}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{2 f^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 f^{2}}-\frac{b \,e^{2} n \ln \left(e x +d \right)}{2 \left(d^{2} g +f \,e^{2}\right) f}+\frac{b \,e^{2} n \ln \left(g \,x^{2}+f \right)}{4 \left(d^{2} g +f \,e^{2}\right) f}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{2 f^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{4 f^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 f^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 f^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 \left(g \,x^{2}+f \right) f}+\frac{b n \ln \left(e x +d \right) \ln \left(g \,x^{2}+f \right)}{2 f^{2}}-\frac{b n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 f^{2}}-\frac{b n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 f^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) f}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) f}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 f^{2}}"," ",0,"-1/2*b*ln((e*x+d)^n)/f^2*ln(g*x^2+f)+1/2*b*ln((e*x+d)^n)/f/(g*x^2+f)+1/2*b*ln(c)/f/(g*x^2+f)-1/2*b*ln(c)/f^2*ln(g*x^2+f)-1/2*b*n/f^2*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*b*n/f^2*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f/(g*x^2+f)+1/2*a/f/(g*x^2+f)-1/2*a/f^2*ln(g*x^2+f)+b/f^2*ln(x)*ln((e*x+d)^n)-b*n/f^2*dilog((e*x+d)/d)+a/f^2*ln(x)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*ln(x)-1/2*b*e*n/f*g/(d^2*g+e^2*f)*d/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+b/f^2*ln(c)*ln(x)+1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*ln(g*x^2+f)-b/f^2*n*ln(x)*ln((e*x+d)/d)-1/2*b*e^2*n*ln(e*x+d)/f/(d^2*g+e^2*f)+1/4*b*e^2*n*ln(g*x^2+f)/f/(d^2*g+e^2*f)+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*ln(g*x^2+f)+1/2*b*n/f^2*ln(e*x+d)*ln(g*x^2+f)-1/2*b*n/f^2*ln(e*x+d)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*b*n/f^2*ln(e*x+d)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*ln(x)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*ln(x)+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f/(g*x^2+f)-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f/(g*x^2+f)-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*ln(g*x^2+f)+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*ln(x)-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*ln(g*x^2+f)+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f/(g*x^2+f)","C"
270,1,1165,411,0.260000," ","int((b*ln(c*(e*x+d)^n)+a)/x^3/(g*x^2+f)^2,x)","-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{2 f^{2} x^{2}}+\frac{a g \ln \left(g \,x^{2}+f \right)}{f^{3}}-\frac{a g}{2 \left(g \,x^{2}+f \right) f^{2}}-\frac{b \ln \left(c \right)}{2 f^{2} x^{2}}-\frac{2 a g \ln \left(x \right)}{f^{3}}-\frac{2 b g \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)}{f^{3}}-\frac{a}{2 f^{2} x^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 f^{2} x^{2}}+\frac{b d e \,g^{2} n \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{2 \left(d^{2} g +f \,e^{2}\right) \sqrt{f g}\, f^{2}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) f^{2}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{f^{3}}-\frac{b \,e^{2} n \ln \left(x \right)}{2 d^{2} f^{2}}+\frac{b \,e^{4} n \ln \left(e x +d \right)}{2 \left(d^{2} g +f \,e^{2}\right) d^{2} f}+\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \left(g \,x^{2}+f \right) f^{2}}+\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{f^{3}}-\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g \,x^{2}+f \right)}{2 f^{3}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{f^{3}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) f^{2}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{2 f^{3}}-\frac{2 b g \ln \left(c \right) \ln \left(x \right)}{f^{3}}+\frac{b \,e^{2} g n \ln \left(e x +d \right)}{\left(d^{2} g +f \,e^{2}\right) f^{2}}-\frac{b \,e^{2} g n \ln \left(g \,x^{2}+f \right)}{4 \left(d^{2} g +f \,e^{2}\right) f^{2}}+\frac{2 b g n \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)}{f^{3}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{2 f^{3}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{f^{3}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{2 f^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 f^{2} x^{2}}-\frac{b g n \ln \left(e x +d \right) \ln \left(g \,x^{2}+f \right)}{f^{3}}+\frac{b g n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{f^{3}}+\frac{b g n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{f^{3}}+\frac{b g \ln \left(\left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{f^{3}}-\frac{b g \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g \,x^{2}+f \right) f^{2}}-\frac{b g \ln \left(c \right)}{2 \left(g \,x^{2}+f \right) f^{2}}+\frac{b g \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{f^{3}}+\frac{2 b g n \dilog \left(\frac{e x +d}{d}\right)}{f^{3}}+\frac{b g n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{f^{3}}+\frac{b g n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{f^{3}}-\frac{b e n}{2 d \,f^{2} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 f^{2} x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 f^{2} x^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 \left(g \,x^{2}+f \right) f^{2}}"," ",0,"-1/2*b*ln((e*x+d)^n)/f^2/x^2+a/f^3*g*ln(g*x^2+f)-1/2*a/f^2*g/(g*x^2+f)-1/2*b/f^2/x^2*ln(c)-2*a/f^3*g*ln(x)-2*b/f^3*g*ln(x)*ln((e*x+d)^n)-1/2*a/f^2/x^2-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*g/(g*x^2+f)+1/4*I*Pi*b/f^2/x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^3*g*ln(g*x^2+f)+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^3*g*ln(g*x^2+f)+1/2*b*e*n/f^2*g^2/(d^2*g+e^2*f)*d/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*b/d^2*e^2/f^2*n*ln(x)-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*g/(g*x^2+f)+1/2*b*e^4*n/f/(d^2*g+e^2*f)/d^2*ln(e*x+d)+2*b*n/f^3*g*dilog((e*x+d)/d)+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*g/(g*x^2+f)-I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^3*g*ln(x)-I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^3*g*ln(x)-2*b/f^3*g*ln(c)*ln(x)+I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^3*g*ln(x)+b*e^2*g*n*ln(e*x+d)/f^2/(d^2*g+e^2*f)-1/4*b*e^2*g*n*ln(g*x^2+f)/f^2/(d^2*g+e^2*f)+2*b/f^3*g*n*ln(x)*ln((e*x+d)/d)-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^3*g*ln(g*x^2+f)-b*n/f^3*g*ln(e*x+d)*ln(g*x^2+f)+b*n/f^3*g*ln(e*x+d)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+b*n/f^3*g*ln(e*x+d)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^3*g*ln(x)-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2/x^2+b*ln((e*x+d)^n)/f^3*g*ln(g*x^2+f)-1/2*b*ln((e*x+d)^n)/f^2*g/(g*x^2+f)+b*n/f^3*g*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+b*n/f^3*g*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/2*b*ln(c)/f^2*g/(g*x^2+f)+b*ln(c)/f^3*g*ln(g*x^2+f)+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2/x^2-1/2*b/d*e/f^2*n/x-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2/x^2+1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*g/(g*x^2+f)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^3*g*ln(g*x^2+f)","C"
271,1,2021,426,0.413000," ","int(x^4*(b*ln(c*(e*x+d)^n)+a)/(g*x^2+f)^2,x)","\frac{b x \ln \left(c \right)}{g^{2}}+\frac{b x \ln \left(\left(e x +d \right)^{n}\right)}{g^{2}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g^{2}}-\frac{b f n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{\sqrt{-f g}\, g^{2}}+\frac{3 b f n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{f g}\, g^{2}}+\frac{b f n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{\sqrt{-f g}\, g^{2}}+\frac{b \,e^{2} f x \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(e^{2} g \,x^{2}+e^{2} f \right) g^{2}}-\frac{i \pi  b f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 \left(g \,x^{2}+f \right) g^{2}}+\frac{b f x \ln \left(c \right)}{2 \left(g \,x^{2}+f \right) g^{2}}-\frac{3 b f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{2 \sqrt{f g}\, g^{2}}-\frac{b \,e^{2} f n x \ln \left(e x +d \right)}{2 \left(e^{2} g \,x^{2}+e^{2} f \right) g^{2}}-\frac{b \,e^{2} f^{2} n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right)}{2 \left(d^{2} g +e^{2} f \right) \sqrt{f g}\, g^{2}}+\frac{3 i \pi  b f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \sqrt{f g}\, g^{2}}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 g^{2}}+\frac{b \,d^{2} e^{2} f n \,x^{2} \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}-\frac{b \,d^{2} e^{2} f n \,x^{2} \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}+\frac{b \,e^{4} f^{2} n \,x^{2} \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, g}+\frac{b \,d^{2} e^{2} f^{2} n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, g}-\frac{b \,e^{4} f^{2} n \,x^{2} \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, g}-\frac{b \,d^{2} e^{2} f^{2} n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, g}-\frac{i \pi  b f x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \left(g \,x^{2}+f \right) g^{2}}+\frac{3 b f n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{4 \sqrt{-f g}\, g^{2}}-\frac{3 b f n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{4 \sqrt{-f g}\, g^{2}}-\frac{b d e f n \ln \left(d^{2} g +e^{2} f -2 \left(e x +d \right) d g +\left(e x +d \right)^{2} g \right)}{4 \left(d^{2} g +e^{2} f \right) g^{2}}+\frac{3 i \pi  b f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 \sqrt{f g}\, g^{2}}-\frac{3 b f \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(\left(e x +d \right)^{n}\right)}{2 \sqrt{f g}\, g^{2}}-\frac{b d n}{e \,g^{2}}+\frac{a f x}{2 \left(g \,x^{2}+f \right) g^{2}}-\frac{3 a f \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{2 \sqrt{f g}\, g^{2}}+\frac{b d \ln \left(\left(e x +d \right)^{n}\right)}{e \,g^{2}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 g^{2}}+\frac{b d \,e^{3} f^{2} n \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) g^{2}}+\frac{b \,e^{4} f^{3} n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, g^{2}}-\frac{b \,e^{4} f^{3} n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, g^{2}}+\frac{b d \,e^{3} f n \,x^{2} \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) g}+\frac{b \,d^{2} e^{2} f n x \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) g}+\frac{b \,e^{4} f^{2} n x \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) g^{2}}+\frac{i \pi  b f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) g^{2}}+\frac{i \pi  b f x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) g^{2}}+\frac{a x}{g^{2}}-\frac{b n x}{g^{2}}-\frac{i \pi  b x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 g^{2}}-\frac{3 i \pi  b f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \sqrt{f g}\, g^{2}}-\frac{3 i \pi  b f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \sqrt{f g}\, g^{2}}"," ",0,"3/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*f/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*f*x/(g*x^2+f)+b/g^2*x*ln(c)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*x+b*ln((e*x+d)^n)/g^2*x-b*n/g^2*f*ln(e*x+d)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+3/2*b/g^2*f/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*n*ln(e*x+d)+b*n/g^2*f*ln(e*x+d)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*b*e^2/g^2*f/(e^2*g*x^2+e^2*f)*x*ln((e*x+d)^n)-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*f*x/(g*x^2+f)+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*f*x/(g*x^2+f)+1/2*b*ln(c)/g^2*f*x/(g*x^2+f)-3/2*b*ln(c)/g^2*f/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*b*e^2/g^2*f/(e^2*g*x^2+e^2*f)*x*n*ln(e*x+d)-1/2*b*e^2*n/g^2*f^2/(d^2*g+e^2*f)/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)+1/4*b*e^2*n*f*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*d^2*x^2-1/4*b*e^2*n*f*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*d^2*x^2+1/4*b*e^4*n/g*f^2*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*x^2+1/4*b*e^2*n/g*f^2*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*d^2-1/4*b*e^4*n/g*f^2*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*x^2-1/4*b*e^2*n/g*f^2*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*d^2-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g^2*x-1/4*b*e*n/g^2*f/(d^2*g+e^2*f)*d*ln(g*(e*x+d)^2-2*d*g*(e*x+d)+d^2*g+f*e^2)-3/2*b/g^2*f/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*ln((e*x+d)^n)-b/e*n/g^2*d+1/2*a/g^2*f*x/(g*x^2+f)-3/2*a/g^2*f/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+b/e/g^2*d*ln((e*x+d)^n)+3/4*b*n/g^2*f/(-f*g)^(1/2)*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-3/4*b*n/g^2*f/(-f*g)^(1/2)*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+1/2*b*e^3*n/g^2*f^2*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*d+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*f*x/(g*x^2+f)+1/4*b*e^4*n/g^2*f^3*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/4*b*e^4*n/g^2*f^3*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*b*e^3*n/g*f*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*d*x^2+1/2*b*e^2*n/g*f*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*d^2*x-3/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*f/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*b*e^4*n/g^2*f^2*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*x-3/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*f/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+a/g^2*x-b/g^2*n*x+3/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g^2*f/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g^2*x+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g^2*x","C"
272,1,1781,386,0.448000," ","int(x^2*(b*ln(c*(e*x+d)^n)+a)/(g*x^2+f)^2,x)","-\frac{a x}{2 \left(g \,x^{2}+f \right) g}+\frac{a \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{2 \sqrt{f g}\, g}+\frac{i \pi  b x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \left(g \,x^{2}+f \right) g}-\frac{i \pi  b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \sqrt{f g}\, g}-\frac{b \,e^{4} f n x \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) g}-\frac{b \,d^{2} e^{2} n x \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right)}+\frac{b \,d^{2} e^{2} g n \,x^{2} \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}+\frac{b \,e^{2} f n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right)}{2 \left(d^{2} g +e^{2} f \right) \sqrt{f g}\, g}-\frac{b d \,e^{3} n \,x^{2} \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right)}+\frac{b \,e^{2} n x \ln \left(e x +d \right)}{2 \left(e^{2} g \,x^{2}+e^{2} f \right) g}+\frac{b d e n \ln \left(d^{2} g +e^{2} f -2 \left(e x +d \right) d g +\left(e x +d \right)^{2} g \right)}{4 \left(d^{2} g +e^{2} f \right) g}-\frac{b \,d^{2} e^{2} g n \,x^{2} \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}+\frac{i \pi  b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \sqrt{f g}\, g}+\frac{i \pi  b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \sqrt{f g}\, g}-\frac{i \pi  b x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) g}-\frac{b \,e^{4} f^{2} n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, g}-\frac{b \,e^{4} f n \,x^{2} \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}+\frac{b \,d^{2} e^{2} f n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}-\frac{b \,d^{2} e^{2} f n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}+\frac{b \,e^{4} f n \,x^{2} \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}+\frac{b \,e^{4} f^{2} n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, g}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 \left(g \,x^{2}+f \right) g}-\frac{b x \ln \left(c \right)}{2 \left(g \,x^{2}+f \right) g}+\frac{b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{2 \sqrt{f g}\, g}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) g}-\frac{b n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{4 \sqrt{-f g}\, g}+\frac{b n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{4 \sqrt{-f g}\, g}+\frac{b n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}\, g}+\frac{b \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(\left(e x +d \right)^{n}\right)}{2 \sqrt{f g}\, g}-\frac{b n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{f g}\, g}-\frac{b n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}\, g}-\frac{b \,e^{2} x \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(e^{2} g \,x^{2}+e^{2} f \right) g}-\frac{i \pi  b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 \sqrt{f g}\, g}-\frac{b d \,e^{3} f n \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) g}"," ",0,"-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g*x/(g*x^2+f)-1/2*a/g*x/(g*x^2+f)+1/2*a/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*b*e^4*n*f/g*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*x-1/2*b*e^2*n*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*d^2*x+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/g*x/(g*x^2+f)+1/4*b*e^2*n*g*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*d^2*x^2+1/2*b*e^2*n*f/g/(d^2*g+e^2*f)/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)-1/2*b*e^3*n*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*d*x^2-1/4*b*n/g/(-f*g)^(1/2)*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*b*e^2/(e^2*g*x^2+e^2*f)/g*x*n*ln(e*x+d)+1/4*b*e*n/g/(d^2*g+e^2*f)*d*ln(d^2*g+e^2*f-2*(e*x+d)*d*g+(e*x+d)^2*g)+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/4*b*e^2*n*g*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*d^2*x^2-1/4*b*e^4*n*f^2/g*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/4*b*e^4*n*f*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*x^2+1/4*b*e^2*n*f*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*d^2-1/4*b*e^2*n*f*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*d^2+1/4*b*e^4*n*f*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*x^2+1/4*b*e^4*n*f^2/g*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/4*b*n/g/(-f*g)^(1/2)*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*b*ln(c)/g*x/(g*x^2+f)+1/2*b*ln(c)/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*b*n/g*ln(e*x+d)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+1/2*b/g/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*ln((e*x+d)^n)-1/2*b/g/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*n*ln(e*x+d)-1/2*b*n/g*ln(e*x+d)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*b*e^2/(e^2*g*x^2+e^2*f)/g*x*ln((e*x+d)^n)+1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g*x/(g*x^2+f)-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/g*x/(g*x^2+f)-1/2*b*e^3*n*f/g*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*d","C"
273,1,1666,398,0.433000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x^2+f)^2,x)","\frac{b x \ln \left(c \right)}{2 \left(g \,x^{2}+f \right) f}+\frac{b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{2 \sqrt{f g}\, f}+\frac{a x}{2 \left(g \,x^{2}+f \right) f}+\frac{a \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{2 \sqrt{f g}\, f}+\frac{b \,d^{2} e^{2} g^{2} n \,x^{2} \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, f}-\frac{b \,d^{2} e^{2} g^{2} n \,x^{2} \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, f}+\frac{b \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(\left(e x +d \right)^{n}\right)}{2 \sqrt{f g}\, f}-\frac{i \pi  b x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \left(g \,x^{2}+f \right) f}-\frac{i \pi  b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \sqrt{f g}\, f}+\frac{b n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{4 \sqrt{-f g}\, f}-\frac{b n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{4 \sqrt{-f g}\, f}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) f}-\frac{b \,e^{4} g n \,x^{2} \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}+\frac{b \,e^{4} g n \,x^{2} \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}+\frac{b \,d^{2} e^{2} g n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}-\frac{b \,d^{2} e^{2} g n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) f}+\frac{i \pi  b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \sqrt{f g}\, f}+\frac{i \pi  b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \sqrt{f g}\, f}+\frac{b \,e^{4} n x \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right)}-\frac{b d e n \ln \left(d^{2} g +e^{2} f -2 \left(e x +d \right) d g +\left(e x +d \right)^{2} g \right)}{4 \left(d^{2} g +e^{2} f \right) f}+\frac{b d \,e^{3} n \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right)}-\frac{b \,e^{2} n x \ln \left(e x +d \right)}{2 \left(e^{2} g \,x^{2}+e^{2} f \right) f}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 \left(g \,x^{2}+f \right) f}-\frac{b \,e^{2} n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right)}{2 \left(d^{2} g +e^{2} f \right) \sqrt{f g}}-\frac{b n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{f g}\, f}+\frac{b \,e^{2} x \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(e^{2} g \,x^{2}+e^{2} f \right) f}-\frac{i \pi  b \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 \sqrt{f g}\, f}+\frac{b d \,e^{3} g n \,x^{2} \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) f}+\frac{b \,d^{2} e^{2} g n x \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) f}+\frac{b \,e^{4} f n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}-\frac{b \,e^{4} f n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}"," ",0,"1/2*b*ln(c)*x/f/(g*x^2+f)+1/2*b*ln(c)/f/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x/f/(g*x^2+f)+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*a*x/f/(g*x^2+f)+1/2*a/f/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/4*b*e^2*n*ln(e*x+d)/f/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*d^2*g^2*x^2-1/4*b*e^2*n*ln(e*x+d)/f/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*d^2*g^2*x^2+1/2*b/f/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*ln((e*x+d)^n)+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x/f/(g*x^2+f)+1/4*b*n/f/(-f*g)^(1/2)*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/4*b*e^4*n*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*g*x^2+1/4*b*e^4*n*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*g*x^2+1/4*b*e^2*n*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*g*d^2-1/4*b*e^2*n*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*g*d^2-1/4*b*n/f/(-f*g)^(1/2)*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*b*e^4*n*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*x-1/4*b*e*n/f/(d^2*g+e^2*f)*d*ln(d^2*g+e^2*f-2*(e*x+d)*d*g+(e*x+d)^2*g)+1/2*b*e^3*n*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*d-1/2*b*e^2/f/(e^2*g*x^2+e^2*f)*x*n*ln(e*x+d)-1/2*b*e^2*n/(d^2*g+e^2*f)/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)-1/2*b/f/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*n*ln(e*x+d)-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*b*e^2/f/(e^2*g*x^2+e^2*f)*x*ln((e*x+d)^n)-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x/f/(g*x^2+f)-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*b*e^3*n*ln(e*x+d)/f/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*d*g*x^2+1/2*b*e^2*n*ln(e*x+d)/f/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*d^2*g*x-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*x/f/(g*x^2+f)+1/4*b*e^4*n*ln(e*x+d)*f/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/4*b*e^4*n*ln(e*x+d)*f/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))","C"
274,1,2032,454,0.536000," ","int((b*ln(c*(e*x+d)^n)+a)/x^2/(g*x^2+f)^2,x)","-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{f^{2} x}-\frac{b \ln \left(c \right)}{f^{2} x}+\frac{b \,d^{2} e^{2} g^{3} n \,x^{2} \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, f^{2}}-\frac{b \,d^{2} e^{2} g^{3} n \,x^{2} \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, f^{2}}+\frac{b g n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}\, f^{2}}-\frac{b g n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}\, f^{2}}+\frac{3 b g n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{f g}\, f^{2}}+\frac{b \,e^{2} g n x \ln \left(e x +d \right)}{2 \left(e^{2} g \,x^{2}+e^{2} f \right) f^{2}}+\frac{b d e g n \ln \left(d^{2} g +e^{2} f -2 \left(e x +d \right) d g +\left(e x +d \right)^{2} g \right)}{4 \left(d^{2} g +e^{2} f \right) f^{2}}+\frac{b \,e^{2} g n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right)}{2 \left(d^{2} g +e^{2} f \right) \sqrt{f g}\, f}-\frac{a}{f^{2} x}-\frac{b e n \ln \left(e x +d \right)}{d \,f^{2}}-\frac{3 b g n \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{4 \sqrt{-f g}\, f^{2}}+\frac{3 b g n \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{4 \sqrt{-f g}\, f^{2}}+\frac{i \pi  b g x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \left(g \,x^{2}+f \right) f^{2}}+\frac{3 i \pi  b g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \sqrt{f g}\, f^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 f^{2} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 f^{2} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 f^{2} x}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 f^{2} x}-\frac{3 b g \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(\left(e x +d \right)^{n}\right)}{2 \sqrt{f g}\, f^{2}}-\frac{i \pi  b g x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) f^{2}}-\frac{b g x \ln \left(c \right)}{2 \left(g \,x^{2}+f \right) f^{2}}-\frac{3 b g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{2 \sqrt{f g}\, f^{2}}-\frac{a g x}{2 \left(g \,x^{2}+f \right) f^{2}}-\frac{3 a g \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{2 \sqrt{f g}\, f^{2}}+\frac{b e n \ln \left(e x \right)}{d \,f^{2}}-\frac{b \,e^{4} g n x \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) f}+\frac{b \,e^{4} g n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}-\frac{b \,e^{4} g n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}}-\frac{b d \,e^{3} g n \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) f}+\frac{b \,e^{4} g^{2} n \,x^{2} \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, f}-\frac{b \,e^{4} g^{2} n \,x^{2} \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, f}+\frac{b \,d^{2} e^{2} g^{2} n \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, f}-\frac{b \,d^{2} e^{2} g^{2} n \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{4 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) \sqrt{-f g}\, f}+\frac{i \pi  b g x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 \left(g \,x^{2}+f \right) f^{2}}-\frac{b \,d^{2} e^{2} g^{2} n x \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) f^{2}}-\frac{b d \,e^{3} g^{2} n \,x^{2} \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \left(e^{2} g \,x^{2}+e^{2} f \right) f^{2}}-\frac{b \,e^{2} g x \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(e^{2} g \,x^{2}+e^{2} f \right) f^{2}}-\frac{i \pi  b g x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \left(g \,x^{2}+f \right) f^{2}}+\frac{3 i \pi  b g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4 \sqrt{f g}\, f^{2}}-\frac{3 i \pi  b g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \sqrt{f g}\, f^{2}}-\frac{3 i \pi  b g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4 \sqrt{f g}\, f^{2}}"," ",0,"1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*g*x/(g*x^2+f)-b/f^2/x*ln((e*x+d)^n)-b/f^2/x*ln(c)+1/4*b*e^2*n/f^2*g^3*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*d^2*x^2-1/4*b*e^2*n/f^2*g^3*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*d^2*x^2+1/2*b*n/f^2*g*ln(e*x+d)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/2*b*n/f^2*g*ln(e*x+d)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+3/2*b/f^2*g/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*n*ln(e*x+d)+1/2*b/f^2*g/(e^2*g*x^2+e^2*f)*x*e^2*n*ln(e*x+d)+1/4*b*e*n/f^2*g/(d^2*g+e^2*f)*d*ln(d^2*g+e^2*f-2*(e*x+d)*d*g+(e*x+d)^2*g)+1/2*b*e^2*n/f*g/(d^2*g+e^2*f)/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)-a/f^2/x-b*e*n*ln(e*x+d)/d/f^2-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2/x-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2/x+3/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+3/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/f^2/x+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2*g*x/(g*x^2+f)-3/2*b/f^2*g/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*ln((e*x+d)^n)-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*g*x/(g*x^2+f)-1/2*b*ln(c)/f^2*g*x/(g*x^2+f)-3/2*b*ln(c)/f^2*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*a/f^2*g*x/(g*x^2+f)-3/2*a/f^2*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-3/4*b*n/f^2*g/(-f*g)^(1/2)*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))+3/4*b*n/f^2*g/(-f*g)^(1/2)*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+b*e*n/f^2/d*ln(e*x)-1/2*b*e^4*n/f*g*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*x+1/4*b*e^4*n*g*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/4*b*e^4*n*g*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*b*e^3*n/f*g*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*d+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/f^2/x+1/4*b*e^4*n/f*g^2*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*x^2-1/4*b*e^4*n/f*g^2*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*x^2+1/4*b*e^2*n/f*g^2*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*d^2-1/4*b*e^2*n/f*g^2*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*d^2-3/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/f^2*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*b*n/f^2*g^2*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*d^2*x*e^2-1/2*b*n/f^2*g^2*ln(e*x+d)/(d^2*g+e^2*f)/(e^2*g*x^2+e^2*f)*d*x^2*e^3-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*g*x/(g*x^2+f)-3/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/f^2*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*b/f^2*g/(e^2*g*x^2+e^2*f)*x*e^2*ln((e*x+d)^n)","C"
275,0,0,304,0.452000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x^2+2)^(1/2),x)","\int \frac{b \ln \left(c \left(e x +d \right)^{n}\right)+a}{\sqrt{g \,x^{2}+2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)/(g*x^2+2)^(1/2),x)","F"
276,0,0,440,0.445000," ","int((b*ln(c*(e*x+d)^n)+a)/(g*x^2+f)^(1/2),x)","\int \frac{b \ln \left(c \left(e x +d \right)^{n}\right)+a}{\sqrt{g \,x^{2}+f}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)/(g*x^2+f)^(1/2),x)","F"
277,0,0,281,0.710000," ","int((b*ln(c*(e*x+d)^n)+a)/(-g*x+2)^(1/2)/(g*x+2)^(1/2),x)","\int \frac{b \ln \left(c \left(e x +d \right)^{n}\right)+a}{\sqrt{-g x +2}\, \sqrt{g x +2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)/(-g*x+2)^(1/2)/(g*x+2)^(1/2),x)","F"
278,0,0,501,0.652000," ","int((b*ln(c*(e*x+d)^n)+a)/(-g*x+f)^(1/2)/(g*x+f)^(1/2),x)","\int \frac{b \ln \left(c \left(e x +d \right)^{n}\right)+a}{\sqrt{-g x +f}\, \sqrt{g x +f}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)/(-g*x+f)^(1/2)/(g*x+f)^(1/2),x)","F"
279,1,20,22,0.050000," ","int(ln(2*e/(f*x+e))/(-f^2*x^2+e^2),x)","\frac{\dilog \left(\frac{2 e}{f x +e}\right)}{2 e f}"," ",0,"1/2/f/e*dilog(2*e/(f*x+e))","A"
280,1,84,40,0.051000," ","int(ln(1/(f*x+e)*e)/(-f^2*x^2+e^2),x)","-\frac{\ln \left(\frac{e}{f x +e}\right) \ln \left(-\frac{2 e}{f x +e}+1\right)}{2 e f}+\frac{\ln \left(\frac{2 e}{f x +e}\right) \ln \left(-\frac{2 e}{f x +e}+1\right)}{2 e f}+\frac{\dilog \left(\frac{2 e}{f x +e}\right)}{2 e f}"," ",0,"-1/2/f/e*ln(1-2/(f*x+e)*e)*ln(1/(f*x+e)*e)+1/2/f/e*ln(1-2/(f*x+e)*e)*ln(2/(f*x+e)*e)+1/2/f/e*dilog(2/(f*x+e)*e)","B"
281,1,44,39,0.050000," ","int((a+b*ln(2/(f*x+e)*e))/(-f^2*x^2+e^2),x)","-\frac{a \ln \left(\frac{2 e}{f x +e}-1\right)}{2 e f}+\frac{b \dilog \left(\frac{2 e}{f x +e}\right)}{2 e f}"," ",0,"-1/2/e/f*a*ln(2/(f*x+e)*e-1)+1/2/e/f*b*dilog(2/(f*x+e)*e)","A"
282,1,109,45,0.049000," ","int((a+b*ln(1/(f*x+e)*e))/(-f^2*x^2+e^2),x)","-\frac{b \ln \left(\frac{e}{f x +e}\right) \ln \left(-\frac{2 e}{f x +e}+1\right)}{2 e f}+\frac{b \ln \left(\frac{2 e}{f x +e}\right) \ln \left(-\frac{2 e}{f x +e}+1\right)}{2 e f}-\frac{a \ln \left(\frac{2 e}{f x +e}-1\right)}{2 e f}+\frac{b \dilog \left(\frac{2 e}{f x +e}\right)}{2 e f}"," ",0,"-1/2*a/e/f*ln(2/(f*x+e)*e-1)+1/2/e/f*b*ln(-2/(f*x+e)*e+1)*ln(2/(f*x+e)*e)-1/2/e/f*b*ln(-2/(f*x+e)*e+1)*ln(1/(f*x+e)*e)+1/2/e/f*b*dilog(2/(f*x+e)*e)","B"
283,1,153,293,0.258000," ","int(x^5*ln(d*x+c)/(b*x^3+a),x)","\frac{x^{3} \ln \left(d x +c \right)}{3 b}-\frac{x^{3}}{9 b}+\frac{c \,x^{2}}{6 b d}-\frac{a \left(\ln \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right)\right)}{3 b^{2}}+\frac{c^{3} \ln \left(d x +c \right)}{3 b \,d^{3}}-\frac{c^{2} x}{3 b \,d^{2}}-\frac{11 c^{3}}{18 b \,d^{3}}"," ",0,"1/3*x^3*ln(d*x+c)/b+1/3*c^3*ln(d*x+c)/b/d^3-1/9*x^3/b+1/6*c*x^2/b/d-1/3*c^2*x/b/d^2-11/18/d^3/b*c^3-1/3/b^2*sum(ln(d*x+c)*ln((-d*x+_R1-c)/_R1)+dilog((-d*x+_R1-c)/_R1),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))*a","C"
284,1,77,224,0.274000," ","int(x^2*ln(d*x+c)/(b*x^3+a),x)","\frac{\ln \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right)}{3 b}"," ",0,"1/3/b*sum(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
285,1,108,256,0.278000," ","int(ln(d*x+c)/x/(b*x^3+a),x)","\frac{\ln \left(-\frac{d x}{c}\right) \ln \left(d x +c \right)}{a}+\frac{\dilog \left(-\frac{d x}{c}\right)}{a}-\frac{\ln \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right)}{3 a}"," ",0,"-1/3*sum(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))/a+ln(-d*x/c)*ln(d*x+c)/a+1/a*dilog(-d*x/c)","C"
286,1,185,336,0.292000," ","int(ln(d*x+c)/x^4/(b*x^3+a),x)","-\frac{b \ln \left(-\frac{d x}{c}\right) \ln \left(d x +c \right)}{a^{2}}+\frac{d^{3} \ln \left(d x \right)}{3 a \,c^{3}}-\frac{d^{3} \ln \left(d x +c \right)}{3 a \,c^{3}}-\frac{b \dilog \left(-\frac{d x}{c}\right)}{a^{2}}+\frac{b \left(\ln \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right)\right)}{3 a^{2}}+\frac{d^{2}}{3 a \,c^{2} x}-\frac{d}{6 a c \,x^{2}}-\frac{\ln \left(d x +c \right)}{3 a \,x^{3}}"," ",0,"1/3*b*sum(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))/a^2-b*ln(-1/c*d*x)*ln(d*x+c)/a^2-1/a^2*b*dilog(-1/c*d*x)-1/6*d/a/c/x^2+1/3*d^3/a/c^3*ln(d*x)+1/3*d^2/a/c^2/x-1/3*d^3*ln(d*x+c)/a/c^3-1/3*ln(d*x+c)/a/x^3","C"
287,1,148,306,0.257000," ","int(x^4*ln(d*x+c)/(b*x^3+a),x)","\frac{x^{2} \ln \left(d x +c \right)}{2 b}-\frac{a d \left(\ln \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right)\right)}{3 b^{2} \left(\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c \right)}-\frac{x^{2}}{4 b}-\frac{c^{2} \ln \left(d x +c \right)}{2 b \,d^{2}}+\frac{c x}{2 b d}+\frac{3 c^{2}}{4 b \,d^{2}}"," ",0,"1/2*x^2*ln(d*x+c)/b-1/2*c^2*ln(d*x+c)/b/d^2-1/4*x^2/b+1/2*c*x/b/d+3/4/b*c^2/d^2-1/3*d/b^2*sum(1/(_R1-c)*(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1)),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))*a","C"
288,1,136,281,0.256000," ","int(x^3*ln(d*x+c)/(b*x^3+a),x)","-\frac{a \,d^{2} \left(\ln \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right)\right)}{3 b^{2} \left(\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)^{2}-2 \RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right) c +c^{2}\right)}+\frac{x \ln \left(d x +c \right)}{b}+\frac{c \ln \left(d x +c \right)}{b d}-\frac{x}{b}-\frac{c}{b d}"," ",0,"1/b*ln(d*x+c)*x+1/d/b*ln(d*x+c)*c-x/b-1/d/b*c-1/3*d^2/b^2*sum(1/(_R1^2-2*_R1*c+c^2)*(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1)),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))*a","C"
289,1,86,257,0.257000," ","int(x*ln(d*x+c)/(b*x^3+a),x)","\frac{d \left(\ln \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right)\right)}{3 b \left(\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c \right)}"," ",0,"1/3*d/b*sum(1/(_R1-c)*(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1)),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
290,1,94,257,0.255000," ","int(ln(d*x+c)/(b*x^3+a),x)","\frac{d^{2} \left(\ln \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right)\right)}{3 b \left(\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)^{2}-2 \RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right) c +c^{2}\right)}"," ",0,"1/3*d^2/b*sum(1/(_R1^2-2*_R1*c+c^2)*(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1)),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))","C"
291,1,128,296,0.283000," ","int(ln(d*x+c)/x^2/(b*x^3+a),x)","-\frac{d \left(\ln \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right)\right)}{3 a \left(\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c \right)}+\frac{d \ln \left(d x \right)}{a c}-\frac{d \ln \left(d x +c \right)}{a c}-\frac{\ln \left(d x +c \right)}{a x}"," ",0,"-1/3*d*sum(1/(_R1-c)*(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1)),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))/a+d/a/c*ln(d*x)-d*ln(d*x+c)/a/c-ln(d*x+c)/a/x","C"
292,1,153,313,0.290000," ","int(ln(d*x+c)/x^3/(b*x^3+a),x)","-\frac{d^{2} \left(\ln \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)-c}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)}\right)\right)}{3 a \left(\RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right)^{2}-2 \RootOf \left(b \,\textit{\_Z}^{3}-3 b c \,\textit{\_Z}^{2}+3 b \,c^{2} \textit{\_Z} +a \,d^{3}-b \,c^{3}\right) c +c^{2}\right)}-\frac{d^{2} \ln \left(d x \right)}{2 a \,c^{2}}+\frac{d^{2} \ln \left(d x +c \right)}{2 a \,c^{2}}-\frac{d}{2 a c x}-\frac{\ln \left(d x +c \right)}{2 a \,x^{2}}"," ",0,"-1/2*d^2/a/c^2*ln(d*x)-1/2*d/a/c/x+1/2*d^2*ln(d*x+c)/a/c^2-1/2*ln(d*x+c)/a/x^2-1/3*d^2*sum(1/(_R1^2-2*_R1*c+c^2)*(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1)),_R1=RootOf(_Z^3*b-3*_Z^2*b*c+3*_Z*b*c^2+a*d^3-b*c^3))/a","C"
293,1,175,402,0.260000," ","int(x^7*ln(d*x+c)/(b*x^4+a),x)","\frac{x^{4} \ln \left(d x +c \right)}{4 b}-\frac{x^{4}}{16 b}+\frac{c \,x^{3}}{12 b d}-\frac{c^{2} x^{2}}{8 b \,d^{2}}-\frac{a \left(\ln \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right)\right)}{4 b^{2}}-\frac{c^{4} \ln \left(d x +c \right)}{4 b \,d^{4}}+\frac{c^{3} x}{4 b \,d^{3}}+\frac{25 c^{4}}{48 b \,d^{4}}"," ",0,"1/4*x^4*ln(d*x+c)/b-1/4*c^4*ln(d*x+c)/b/d^4-1/16*x^4/b+1/12*c*x^3/b/d-1/8*c^2*x^2/b/d^2+1/4*c^3*x/b/d^3+25/48/d^4/b*c^4-1/4/b^2*sum(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1),_R1=RootOf(_Z^4*b-4*_Z^3*b*c+6*_Z^2*b*c^2-4*_Z*b*c^3+a*d^4+b*c^4))*a","C"
294,1,85,317,0.255000," ","int(x^3*ln(d*x+c)/(b*x^4+a),x)","\frac{\ln \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right)}{4 b}"," ",0,"1/4/b*sum(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1),_R1=RootOf(_Z^4*b-4*_Z^3*b*c+6*_Z^2*b*c^2-4*_Z*b*c^3+a*d^4+b*c^4))","C"
295,1,116,349,0.260000," ","int(ln(d*x+c)/x/(b*x^4+a),x)","\frac{\ln \left(-\frac{d x}{c}\right) \ln \left(d x +c \right)}{a}+\frac{\dilog \left(-\frac{d x}{c}\right)}{a}-\frac{\ln \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right)}{4 a}"," ",0,"-1/4*sum(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1),_R1=RootOf(_Z^4*b-4*_Z^3*b*c+6*_Z^2*b*c^2-4*_Z*b*c^3+a*d^4+b*c^4))/a+1/a*ln(-1/c*d*x)*ln(d*x+c)+1/a*dilog(-1/c*d*x)","C"
296,1,164,406,0.258000," ","int(x^5*ln(d*x+c)/(b*x^4+a),x)","-\frac{a \,d^{2} \left(\ln \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right)\right)}{4 b^{2} \left(\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)^{2}-2 \RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right) c +c^{2}\right)}+\frac{x^{2} \ln \left(d x +c \right)}{2 b}-\frac{x^{2}}{4 b}-\frac{c^{2} \ln \left(d x +c \right)}{2 b \,d^{2}}+\frac{c x}{2 b d}+\frac{3 c^{2}}{4 b \,d^{2}}"," ",0,"1/2/b*x^2*ln(d*x+c)-1/2/b*c^2/d^2*ln(d*x+c)-1/4/b*x^2+1/2/b*c/d*x+3/4/b*c^2/d^2-1/4*d^2/b^2*sum(1/(_R1^2-2*_R1*c+c^2)*(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1)),_R1=RootOf(_Z^4*b-4*_Z^3*b*c+6*_Z^2*b*c^2-4*_Z*b*c^3+a*d^4+b*c^4))*a","C"
297,1,102,357,0.258000," ","int(x*ln(d*x+c)/(b*x^4+a),x)","\frac{d^{2} \left(\ln \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right)\right)}{4 b \left(\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)^{2}-2 \RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right) c +c^{2}\right)}"," ",0,"1/4*d^2/b*sum(1/(_R1^2-2*_R1*c+c^2)*(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1)),_R1=RootOf(_Z^4*b-4*_Z^3*b*c+6*_Z^2*b*c^2-4*_Z*b*c^3+a*d^4+b*c^4))","C"
298,1,161,413,0.291000," ","int(ln(d*x+c)/x^3/(b*x^4+a),x)","-\frac{d^{2} \left(\ln \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right)\right)}{4 a \left(\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)^{2}-2 \RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right) c +c^{2}\right)}-\frac{d^{2} \ln \left(d x \right)}{2 a \,c^{2}}+\frac{d^{2} \ln \left(d x +c \right)}{2 a \,c^{2}}-\frac{d}{2 a c x}-\frac{\ln \left(d x +c \right)}{2 a \,x^{2}}"," ",0,"-1/2/a/c^2*d^2*ln(d*x)-1/2/a/c*d/x+1/2/a/c^2*d^2*ln(d*x+c)-1/2/a/x^2*ln(d*x+c)-1/4*d^2*sum(1/(_R1^2-2*_R1*c+c^2)*(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1)),_R1=RootOf(_Z^4*b-4*_Z^3*b*c+6*_Z^2*b*c^2-4*_Z*b*c^3+a*d^4+b*c^4))/a","C"
299,1,154,397,0.256000," ","int(x^4*ln(d*x+c)/(b*x^4+a),x)","-\frac{a \,d^{3} \left(\ln \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right)\right)}{4 b^{2} \left(\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)^{3}-3 \RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)^{2} c +3 \RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right) c^{2}-c^{3}\right)}+\frac{x \ln \left(d x +c \right)}{b}+\frac{c \ln \left(d x +c \right)}{b d}-\frac{x}{b}-\frac{c}{b d}"," ",0,"1/b*x*ln(d*x+c)+1/b*c/d*ln(d*x+c)-1/b*x-1/b*c/d-1/4*d^3/b^2*sum(1/(_R1^3-3*_R1^2*c+3*_R1*c^2-c^3)*(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1)),_R1=RootOf(_Z^4*b-4*_Z^3*b*c+6*_Z^2*b*c^2-4*_Z*b*c^3+a*d^4+b*c^4))*a","C"
300,1,94,373,0.259000," ","int(x^2*ln(d*x+c)/(b*x^4+a),x)","\frac{d \left(\ln \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right)\right)}{4 b \left(\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c \right)}"," ",0,"1/4*d/b*sum(1/(_R1-c)*(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1)),_R1=RootOf(_Z^4*b-4*_Z^3*b*c+6*_Z^2*b*c^2-4*_Z*b*c^3+a*d^4+b*c^4))","C"
301,1,112,373,0.251000," ","int(ln(d*x+c)/(b*x^4+a),x)","\frac{d^{3} \left(\ln \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right)\right)}{4 b \left(\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)^{3}-3 \RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)^{2} c +3 \RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right) c^{2}-c^{3}\right)}"," ",0,"1/4*d^3/b*sum(1/(_R1^3-3*_R1^2*c+3*_R1*c^2-c^3)*(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1)),_R1=RootOf(_Z^4*b-4*_Z^3*b*c+6*_Z^2*b*c^2-4*_Z*b*c^3+a*d^4+b*c^4))","C"
302,1,136,412,0.285000," ","int(ln(d*x+c)/x^2/(b*x^4+a),x)","-\frac{d \left(\ln \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right) \ln \left(d x +c \right)+\dilog \left(\frac{-d x +\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c}{\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)}\right)\right)}{4 a \left(\RootOf \left(\textit{\_Z}^{4} b -4 b c \,\textit{\_Z}^{3}+6 b \,c^{2} \textit{\_Z}^{2}-4 b \,c^{3} \textit{\_Z} +a \,d^{4}+b \,c^{4}\right)-c \right)}+\frac{d \ln \left(d x \right)}{a c}-\frac{d \ln \left(d x +c \right)}{a c}-\frac{\ln \left(d x +c \right)}{a x}"," ",0,"-1/4*d*sum(1/(_R1-c)*(ln((-d*x+_R1-c)/_R1)*ln(d*x+c)+dilog((-d*x+_R1-c)/_R1)),_R1=RootOf(_Z^4*b-4*_Z^3*b*c+6*_Z^2*b*c^2-4*_Z*b*c^3+a*d^4+b*c^4))/a+1/a/c*d*ln(d*x)-1/a/c*d*ln(d*x+c)-1/a/x*ln(d*x+c)","C"
303,1,101,83,0.076000," ","int((f+g/x)*x*(b*ln(c*(e*x+d)^n)+a),x)","-\frac{b f n \,x^{2}}{4}+\frac{b f \,x^{2} \ln \left(c \,{\mathrm e}^{n \ln \left(e x +d \right)}\right)}{2}+\frac{a f \,x^{2}}{2}-\frac{b \,d^{2} f n \ln \left(e x +d \right)}{2 e^{2}}+\frac{b d f n x}{2 e}+\frac{b d g n \ln \left(e x +d \right)}{e}-b g n x +b g x \ln \left(c \left(e x +d \right)^{n}\right)+a g x"," ",0,"a*g*x+1/2*a*x^2*f+b*g*x*ln(c*(e*x+d)^n)-b*g*n*x+b*g/e*n*d*ln(e*x+d)+1/2*b*f*x^2*ln(c*exp(n*ln(e*x+d)))-1/4*n*b*f*x^2-1/2*n*b*d^2*f/e^2*ln(e*x+d)+1/2*b*d*f*n*x/e","A"
304,1,585,110,0.344000," ","int((f+g/x)^2*x^2*(b*ln(c*(e*x+d)^n)+a),x)","\frac{a \,f^{2} x^{3}}{3}+b \,g^{2} x \ln \left(c \right)+\frac{b \,f^{2} x^{3} \ln \left(c \right)}{3}+\frac{\left(f x +g \right)^{3} b \ln \left(\left(e x +d \right)^{n}\right)}{3 f}+\frac{b d \,g^{2} n \ln \left(e x +d \right)}{e}+\frac{b \,d^{3} f^{2} n \ln \left(e x +d \right)}{3 e^{3}}+\frac{b d \,f^{2} n \,x^{2}}{6 e}-\frac{b f g n \,x^{2}}{2}-\frac{b \,d^{2} f^{2} n x}{3 e^{2}}-b \,g^{2} n x +a f g \,x^{2}+a \,g^{2} x +b f g \,x^{2} \ln \left(c \right)-\frac{b \,g^{3} n \ln \left(e x +d \right)}{3 f}-\frac{b \,f^{2} n \,x^{3}}{9}+\frac{b d f g n x}{e}-\frac{b \,d^{2} f g n \ln \left(e x +d \right)}{e^{2}}+\frac{i \pi  b \,f^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6}+\frac{i \pi  b \,f^{2} x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6}-\frac{i \pi  b f g \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2}+\frac{i \pi  b \,g^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{i \pi  b \,g^{2} x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}-\frac{i \pi  b f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2}-\frac{i \pi  b \,f^{2} x^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{6}-\frac{i \pi  b \,g^{2} x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2}-\frac{i \pi  b \,f^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{6}+\frac{i \pi  b f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{i \pi  b f g \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}-\frac{i \pi  b \,g^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2}"," ",0,"1/3*f^2*a*x^3+ln(c)*b*g^2*x+1/3*f^2*ln(c)*b*x^3+1/3*(f*x+g)^3*b/f*ln((e*x+d)^n)-1/6*I*f^2*Pi*b*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I*Pi*b*g^2*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*f*Pi*b*g*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*f*Pi*b*g*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/e*ln(e*x+d)*b*d*g^2*n+1/3/e^3*f^2*ln(e*x+d)*b*d^3*n-1/2*I*Pi*b*g^2*x*csgn(I*c*(e*x+d)^n)^3-1/6*I*f^2*Pi*b*x^3*csgn(I*c*(e*x+d)^n)^3+1/2*I*Pi*b*g^2*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*Pi*b*g^2*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/6*I*f^2*Pi*b*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/6*I*f^2*Pi*b*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*f*Pi*b*g*x^2*csgn(I*c*(e*x+d)^n)^3-1/2*I*f*Pi*b*g*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/6/e*f^2*b*d*n*x^2-1/2*f*b*g*n*x^2-1/3/e^2*f^2*b*d^2*n*x-b*g^2*n*x+f*a*g*x^2+a*g^2*x+f*ln(c)*b*g*x^2-1/3/f*ln(e*x+d)*b*g^3*n-1/9*f^2*b*n*x^3+1/e*f*b*d*g*n*x-1/e^2*f*ln(e*x+d)*b*d^2*g*n","C"
305,1,836,137,0.361000," ","int((f+g/x)^3*x^3*(b*ln(c*(e*x+d)^n)+a),x)","\frac{a \,f^{3} x^{4}}{4}+\frac{b \,f^{3} x^{4} \ln \left(c \right)}{4}+b \,g^{3} x \ln \left(c \right)+\frac{\left(f x +g \right)^{4} b \ln \left(\left(e x +d \right)^{n}\right)}{4 f}+\frac{i \pi  b \,f^{2} g \,x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{3 b d f \,g^{2} n x}{2 e}+\frac{b d \,f^{2} g n \,x^{2}}{2 e}-\frac{b \,d^{2} f^{2} g n x}{e^{2}}-\frac{3 b \,d^{2} f \,g^{2} n \ln \left(e x +d \right)}{2 e^{2}}+\frac{3 a f \,g^{2} x^{2}}{2}-\frac{b \,f^{3} n \,x^{4}}{16}+a \,f^{2} g \,x^{3}+a \,g^{3} x -\frac{b \,g^{4} n \ln \left(e x +d \right)}{4 f}+b \,f^{2} g \,x^{3} \ln \left(c \right)+\frac{3 b f \,g^{2} x^{2} \ln \left(c \right)}{2}+\frac{3 i \pi  b f \,g^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4}+\frac{3 i \pi  b f \,g^{2} x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4}-\frac{i \pi  b \,g^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2}-\frac{i \pi  b \,f^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{8}+\frac{b \,d^{3} f^{2} g n \ln \left(e x +d \right)}{e^{3}}+\frac{i \pi  b \,f^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{8}+\frac{i \pi  b \,f^{3} x^{4} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{8}-\frac{i \pi  b \,f^{2} g \,x^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2}-\frac{3 i \pi  b f \,g^{2} x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4}+\frac{i \pi  b \,g^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{i \pi  b \,g^{3} x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}-\frac{i \pi  b \,f^{3} x^{4} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{8}-\frac{i \pi  b \,g^{3} x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2}+\frac{i \pi  b \,f^{2} g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}-\frac{3 i \pi  b f \,g^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4}-\frac{3 b f \,g^{2} n \,x^{2}}{4}+\frac{b d \,f^{3} n \,x^{3}}{12 e}-\frac{b \,f^{2} g n \,x^{3}}{3}-\frac{b \,d^{2} f^{3} n \,x^{2}}{8 e^{2}}+\frac{b \,d^{3} f^{3} n x}{4 e^{3}}-b \,g^{3} n x +\frac{b d \,g^{3} n \ln \left(e x +d \right)}{e}-\frac{b \,d^{4} f^{3} n \ln \left(e x +d \right)}{4 e^{4}}-\frac{i \pi  b \,f^{2} g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2}"," ",0,"1/4*f^3*a*x^4+1/4*f^3*ln(c)*b*x^4+ln(c)*b*g^3*x+1/4*(f*x+g)^4*b/f*ln((e*x+d)^n)+3/4*I*f*Pi*b*g^2*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+3/2/e*f*b*d*g^2*n*x+1/2/e*f^2*b*d*g*n*x^2-1/e^2*f^2*b*d^2*g*n*x-3/2/e^2*f*ln(e*x+d)*b*d^2*g^2*n+3/2*f*a*g^2*x^2-1/16*f^3*b*n*x^4+f^2*a*g*x^3+a*g^3*x-1/4/f*ln(e*x+d)*b*g^4*n+f^2*ln(c)*b*g*x^3+3/2*f*ln(c)*b*g^2*x^2+1/e^3*f^2*ln(e*x+d)*b*d^3*g*n+3/4*I*f*Pi*b*g^2*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/8*I*f^3*Pi*b*x^4*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*f^2*Pi*b*g*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I*f^2*Pi*b*g*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-3/4*I*f*Pi*b*g^2*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I*Pi*b*g^3*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-3/4*f*b*g^2*n*x^2+1/12/e*f^3*b*d*n*x^3-1/3*f^2*b*g*n*x^3-1/8/e^2*f^3*b*d^2*n*x^2+1/4/e^3*f^3*b*d^3*n*x-b*g^3*n*x+1/e*ln(e*x+d)*b*d*g^3*n-1/4/e^4*f^3*ln(e*x+d)*b*d^4*n-1/2*I*Pi*b*g^3*x*csgn(I*c*(e*x+d)^n)^3-1/8*I*f^3*Pi*b*x^4*csgn(I*c*(e*x+d)^n)^3+1/8*I*f^3*Pi*b*x^4*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*f^2*Pi*b*g*x^3*csgn(I*c*(e*x+d)^n)^3-3/4*I*f*Pi*b*g^2*x^2*csgn(I*c*(e*x+d)^n)^3+1/8*I*f^3*Pi*b*x^4*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*Pi*b*g^3*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*Pi*b*g^3*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I*f^2*Pi*b*g*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2","C"
306,1,261,63,0.281000," ","int((b*ln(c*(e*x+d)^n)+a)/(f+g/x)/x,x)","-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(f x +g \right)}{2 f}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(f x +g \right)}{2 f}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(f x +g \right)}{2 f}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(f x +g \right)}{2 f}-\frac{b n \ln \left(\frac{d f -e g +\left(f x +g \right) e}{d f -e g}\right) \ln \left(f x +g \right)}{f}-\frac{b n \dilog \left(\frac{d f -e g +\left(f x +g \right) e}{d f -e g}\right)}{f}+\frac{b \ln \left(c \right) \ln \left(f x +g \right)}{f}+\frac{b \ln \left(\left(e x +d \right)^{n}\right) \ln \left(f x +g \right)}{f}+\frac{a \ln \left(f x +g \right)}{f}"," ",0,"b*ln(f*x+g)/f*ln((e*x+d)^n)-b/f*n*dilog(((f*x+g)*e+d*f-e*g)/(d*f-e*g))-b/f*n*ln(f*x+g)*ln(((f*x+g)*e+d*f-e*g)/(d*f-e*g))-1/2*I*ln(f*x+g)/f*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*ln(f*x+g)/f*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*ln(f*x+g)/f*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*ln(f*x+g)/f*b*Pi*csgn(I*c*(e*x+d)^n)^3+ln(f*x+g)/f*b*ln(c)+a*ln(f*x+g)/f","C"
307,1,354,76,0.357000," ","int((b*ln(c*(e*x+d)^n)+a)/(f+g/x)^2/x^2,x)","-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{\left(f x +g \right) f}-\frac{-i \pi  b d f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b d f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b d f \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b d f \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b e f n x \ln \left(e x +d \right)-2 b e f n x \ln \left(-f x -g \right)+i \pi  b e g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)-i \pi  b e g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b e g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b e g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b e g n \ln \left(e x +d \right)-2 b e g n \ln \left(-f x -g \right)+2 b d f \ln \left(c \right)-2 b e g \ln \left(c \right)+2 a d f -2 a e g}{2 \left(f x +g \right) \left(d f -e g \right) f}"," ",0,"-b/f/(f*x+g)*ln((e*x+d)^n)-1/2*(I*Pi*b*e*g*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*d*f*csgn(I*c*(e*x+d)^n)^3-I*Pi*b*e*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*d*f*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*d*f*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*e*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*d*f*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*e*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-2*ln(-f*x-g)*b*e*f*n*x+2*ln(e*x+d)*b*e*f*n*x-2*ln(-f*x-g)*b*e*g*n+2*ln(e*x+d)*b*e*g*n+2*ln(c)*b*d*f-2*ln(c)*b*e*g+2*a*d*f-2*a*e*g)/(f*x+g)/f/(d*f-e*g)","C"
308,1,633,107,0.419000," ","int((b*ln(c*(e*x+d)^n)+a)/(f+g/x)^3/x^3,x)","-\frac{b \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(f x +g \right)^{2} f}-\frac{2 a \,d^{2} f^{2}+2 b d e f g n -2 b \,e^{2} f g n x -2 b \,e^{2} g^{2} n +2 a \,e^{2} g^{2}+2 b \,d^{2} f^{2} \ln \left(c \right)+2 b \,e^{2} g^{2} \ln \left(c \right)-4 a d e f g +2 b \,e^{2} g^{2} n \ln \left(f x +g \right)-2 b \,e^{2} g^{2} n \ln \left(-e x -d \right)-4 b \,e^{2} f g n x \ln \left(-e x -d \right)+i \pi  b \,d^{2} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,d^{2} f^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,e^{2} g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,e^{2} g^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+2 b \,e^{2} f^{2} n \,x^{2} \ln \left(f x +g \right)-2 b \,e^{2} f^{2} n \,x^{2} \ln \left(-e x -d \right)+2 b d e \,f^{2} n x +4 b \,e^{2} f g n x \ln \left(f x +g \right)-i \pi  b \,d^{2} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+2 i \pi  b d e f g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-i \pi  b \,e^{2} g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)-4 b d e f g \ln \left(c \right)+2 i \pi  b d e f g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)-2 i \pi  b d e f g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-2 i \pi  b d e f g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \,d^{2} f^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-i \pi  b \,e^{2} g^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4 \left(f x +g \right)^{2} \left(d f -e g \right)^{2} f}"," ",0,"-1/2*b/f/(f*x+g)^2*ln((e*x+d)^n)-1/4*(2*I*Pi*b*d*e*f*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*Pi*b*d^2*f^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+2*a*f^2*d^2+2*b*d*e*f*g*n-2*b*e^2*f*g*n*x-2*b*e^2*g^2*n+2*a*e^2*g^2+2*ln(c)*b*d^2*f^2+2*ln(c)*b*e^2*g^2-4*a*d*e*f*g+2*ln(f*x+g)*b*e^2*g^2*n-2*ln(-e*x-d)*b*e^2*g^2*n-I*Pi*b*e^2*g^2*csgn(I*c*(e*x+d)^n)^3+I*Pi*b*d^2*f^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+2*I*Pi*b*d*e*f*g*csgn(I*c*(e*x+d)^n)^3-4*b*e^2*f*g*n*x*ln(-e*x-d)-2*I*Pi*b*d*e*f*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+2*ln(f*x+g)*b*e^2*f^2*n*x^2-2*ln(-e*x-d)*b*e^2*f^2*n*x^2-I*Pi*b*d^2*f^2*csgn(I*c*(e*x+d)^n)^3+2*b*d*e*f^2*n*x+4*ln(f*x+g)*b*e^2*f*g*n*x-I*Pi*b*e^2*g^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-4*b*d*e*f*g*ln(c)+I*Pi*b*e^2*g^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*e^2*g^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-2*I*Pi*b*d*e*f*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*d^2*f^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2)/(f*x+g)^2/(d*f-e*g)^2/f","C"
309,1,248,195,0.059000," ","int(ln(b*x+a)/(c+d/x^2),x)","-\frac{d \ln \left(\frac{a c +\sqrt{-c d}\, b -\left(b x +a \right) c}{a c +\sqrt{-c d}\, b}\right) \ln \left(b x +a \right)}{2 \sqrt{-c d}\, c}+\frac{d \ln \left(\frac{-a c +\sqrt{-c d}\, b +\left(b x +a \right) c}{-a c +\sqrt{-c d}\, b}\right) \ln \left(b x +a \right)}{2 \sqrt{-c d}\, c}-\frac{d \dilog \left(\frac{a c +\sqrt{-c d}\, b -\left(b x +a \right) c}{a c +\sqrt{-c d}\, b}\right)}{2 \sqrt{-c d}\, c}+\frac{d \dilog \left(\frac{-a c +\sqrt{-c d}\, b +\left(b x +a \right) c}{-a c +\sqrt{-c d}\, b}\right)}{2 \sqrt{-c d}\, c}+\frac{x \ln \left(b x +a \right)}{c}+\frac{a \ln \left(b x +a \right)}{b c}-\frac{x}{c}-\frac{a}{b c}"," ",0,"1/c*ln(b*x+a)*x+1/b/c*ln(b*x+a)*a-1/c*x-1/b*a/c-1/2*d/c*ln(b*x+a)/(-c*d)^(1/2)*ln((b*(-c*d)^(1/2)-(b*x+a)*c+a*c)/(b*(-c*d)^(1/2)+a*c))+1/2*d/c*ln(b*x+a)/(-c*d)^(1/2)*ln((b*(-c*d)^(1/2)+(b*x+a)*c-a*c)/(b*(-c*d)^(1/2)-a*c))-1/2*d/c/(-c*d)^(1/2)*dilog((b*(-c*d)^(1/2)-(b*x+a)*c+a*c)/(b*(-c*d)^(1/2)+a*c))+1/2*d/c/(-c*d)^(1/2)*dilog((b*(-c*d)^(1/2)+(b*x+a)*c-a*c)/(b*(-c*d)^(1/2)-a*c))","A"
310,0,0,763,1.305000," ","int(x^5*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} x^{5}}{g \,x^{2}+f}\, dx"," ",0,"int(x^5*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f),x)","F"
311,0,0,449,1.566000," ","int(x^3*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} x^{3}}{g \,x^{2}+f}\, dx"," ",0,"int(x^3*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f),x)","F"
312,0,0,273,0.975000," ","int(x*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} x}{g \,x^{2}+f}\, dx"," ",0,"int(x*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f),x)","F"
313,0,0,353,1.110000," ","int((b*ln(c*(e*x+d)^n)+a)^2/x/(g*x^2+f),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\left(g \,x^{2}+f \right) x}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/x/(g*x^2+f),x)","F"
314,0,0,505,1.254000," ","int((b*ln(c*(e*x+d)^n)+a)^2/x^3/(g*x^2+f),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\left(g \,x^{2}+f \right) x^{3}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/x^3/(g*x^2+f),x)","F"
315,0,0,621,29.078000," ","int(x^4*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} x^{4}}{g \,x^{2}+f}\, dx"," ",0,"int(x^4*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f),x)","F"
316,0,0,379,71.651000," ","int(x^2*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} x^{2}}{g \,x^{2}+f}\, dx"," ",0,"int(x^2*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f),x)","F"
317,0,0,303,11.072000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{g \,x^{2}+f}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f),x)","F"
318,0,0,393,62.416000," ","int((b*ln(c*(e*x+d)^n)+a)^2/x^2/(g*x^2+f),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\left(g \,x^{2}+f \right) x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/x^2/(g*x^2+f),x)","F"
319,0,0,612,34.975000," ","int((b*ln(c*(e*x+d)^n)+a)^2/x^4/(g*x^2+f),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\left(g \,x^{2}+f \right) x^{4}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/x^4/(g*x^2+f),x)","F"
320,0,0,828,1.614000," ","int(x^5*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f)^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} x^{5}}{\left(g \,x^{2}+f \right)^{2}}\, dx"," ",0,"int(x^5*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f)^2,x)","F"
321,0,0,637,1.503000," ","int(x^3*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f)^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} x^{3}}{\left(g \,x^{2}+f \right)^{2}}\, dx"," ",0,"int(x^3*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f)^2,x)","F"
322,1,2134,372,0.666000," ","int(x*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f)^2,x)","-\frac{b^{2} d e \,n^{2} \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(e x +d \right)}{\left(d^{2} g +e^{2} f \right) \sqrt{f g}}-\frac{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 a \right)^{2}}{8 \left(g \,x^{2}+f \right) g}-\frac{b^{2} \ln \left(\left(e x +d \right)^{n}\right)^{2}}{2 \left(g \,x^{2}+f \right) g}-\frac{i \pi  \,b^{2} d e n \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 \left(d^{2} g +e^{2} f \right) \sqrt{f g}}-\frac{i \pi  \,b^{2} d e n \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 \left(d^{2} g +e^{2} f \right) \sqrt{f g}}+\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) g}-\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 \left(d^{2} g +e^{2} f \right) g}+\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) g}-\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 \left(d^{2} g +e^{2} f \right) g}+\frac{b^{2} d e n \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right) \ln \left(\left(e x +d \right)^{n}\right)}{\left(d^{2} g +e^{2} f \right) \sqrt{f g}}+\frac{i \pi  \,b^{2} d e n \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(d^{2} g +e^{2} f \right) \sqrt{f g}}+\frac{i \pi  \,b^{2} d e n \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 \left(d^{2} g +e^{2} f \right) \sqrt{f g}}-\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) g}+\frac{i \pi  \,b^{2} e^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(g \,x^{2}+f \right)}{4 \left(d^{2} g +e^{2} f \right) g}-\frac{b^{2} e^{2} n \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 \left(d^{2} g +e^{2} f \right) g}+\frac{b^{2} e^{2} n \ln \left(c \right) \ln \left(e x +d \right)}{\left(d^{2} g +e^{2} f \right) g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g \,x^{2}+f \right) g}-\frac{b^{2} e^{2} n^{2} \ln \left(e x +d \right)^{2}}{2 \left(d^{2} g +e^{2} f \right) g}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g \,x^{2}+f \right) g}-\frac{i \pi  \,b^{2} e^{2} n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) g}+\frac{i \pi  \,b^{2} e^{2} n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 \left(d^{2} g +e^{2} f \right) g}+\frac{b^{2} d e \,n^{2} \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \sqrt{-f g}}-\frac{b^{2} d e \,n^{2} \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) \sqrt{-f g}}+\frac{a b d e n \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\left(d^{2} g +e^{2} f \right) \sqrt{f g}}+\frac{b^{2} d e n \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\left(d^{2} g +e^{2} f \right) \sqrt{f g}}-\frac{b^{2} e^{2} n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(d^{2} g +e^{2} f -2 \left(e x +d \right) d g +\left(e x +d \right)^{2} g \right)}{2 \left(d^{2} g +e^{2} f \right) g}+\frac{b^{2} e^{2} n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{\left(d^{2} g +e^{2} f \right) g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g \,x^{2}+f \right) g}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 \left(g \,x^{2}+f \right) g}-\frac{a b \ln \left(\left(e x +d \right)^{n}\right)}{\left(g \,x^{2}+f \right) g}-\frac{b^{2} \ln \left(c \right) \ln \left(\left(e x +d \right)^{n}\right)}{\left(g \,x^{2}+f \right) g}-\frac{a b \,e^{2} n \ln \left(g \,x^{2}+f \right)}{2 \left(d^{2} g +e^{2} f \right) g}+\frac{a b \,e^{2} n \ln \left(e x +d \right)}{\left(d^{2} g +e^{2} f \right) g}+\frac{b^{2} d e \,n^{2} \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 \left(d^{2} g +e^{2} f \right) \sqrt{-f g}}-\frac{b^{2} d e \,n^{2} \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 \left(d^{2} g +e^{2} f \right) \sqrt{-f g}}-\frac{b^{2} e^{2} n^{2} \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 \left(d^{2} g +e^{2} f \right) g}-\frac{b^{2} e^{2} n^{2} \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 \left(d^{2} g +e^{2} f \right) g}+\frac{b^{2} e^{2} n^{2} \ln \left(d^{2} g +e^{2} f -2 \left(e x +d \right) d g +\left(e x +d \right)^{2} g \right) \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) g}-\frac{b^{2} e^{2} n^{2} \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) g}-\frac{b^{2} e^{2} n^{2} \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \left(d^{2} g +e^{2} f \right) g}"," ",0,"-b^2*n^2*e/(d^2*g+e^2*f)*d/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*ln(e*x+d)-1/8*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*a)^2/g/(g*x^2+f)+1/2*I*n*e/(d^2*g+e^2*f)*d/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*b^2/g/(g*x^2+f)*ln((e*x+d)^n)^2-1/2*I*n*e/(d^2*g+e^2*f)*d/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I*n*e/(d^2*g+e^2*f)*d/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*b^2*Pi*csgn(I*c*(e*x+d)^n)^3-1/2*I/g*n*e^2/(d^2*g+e^2*f)*ln(e*x+d)*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/4*I/g*n*e^2/(d^2*g+e^2*f)*ln(g*x^2+f)*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*n*e/(d^2*g+e^2*f)*d/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+b^2*n*e/(d^2*g+e^2*f)*d/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)*ln((e*x+d)^n)-1/2*I/g/(g*x^2+f)*ln((e*x+d)^n)*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I/g/(g*x^2+f)*ln((e*x+d)^n)*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I/g*n*e^2/(d^2*g+e^2*f)*ln(e*x+d)*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/4*I/g*n*e^2/(d^2*g+e^2*f)*ln(g*x^2+f)*b^2*Pi*csgn(I*c*(e*x+d)^n)^3-1/2/g*n*e^2/(d^2*g+e^2*f)*ln(g*x^2+f)*b^2*ln(c)+1/g*n*e^2/(d^2*g+e^2*f)*ln(e*x+d)*b^2*ln(c)+1/2*I/g/(g*x^2+f)*ln((e*x+d)^n)*b^2*Pi*csgn(I*c*(e*x+d)^n)^3-1/2*b^2/g*n^2*e^2*ln(e*x+d)^2/(d^2*g+e^2*f)-1/2*b^2/g*n^2*e^2/(d^2*g+e^2*f)*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*b^2/g*n^2*e^2/(d^2*g+e^2*f)*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/4*I/g*n*e^2/(d^2*g+e^2*f)*ln(g*x^2+f)*b^2*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I/g*n*e^2/(d^2*g+e^2*f)*ln(e*x+d)*b^2*Pi*csgn(I*c*(e*x+d)^n)^3+1/2*I/g*n*e^2/(d^2*g+e^2*f)*ln(e*x+d)*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I/g/(g*x^2+f)*ln((e*x+d)^n)*b^2*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*b^2*n^2*e/(d^2*g+e^2*f)*ln(e*x+d)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*d-1/2*b^2*n^2*e/(d^2*g+e^2*f)*ln(e*x+d)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*d+b*n*e/(d^2*g+e^2*f)*d/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*a+n*e/(d^2*g+e^2*f)*d/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*b^2*ln(c)-1/4*I/g*n*e^2/(d^2*g+e^2*f)*ln(g*x^2+f)*b^2*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*b^2/g*n*e^2/(d^2*g+e^2*f)*ln(d^2*g+e^2*f-2*(e*x+d)*d*g+(e*x+d)^2*g)*ln((e*x+d)^n)+b^2/g*n*e^2/(d^2*g+e^2*f)*ln(e*x+d)*ln((e*x+d)^n)-b/g/(g*x^2+f)*ln((e*x+d)^n)*a-1/g/(g*x^2+f)*ln((e*x+d)^n)*b^2*ln(c)-1/2*b/g*n*e^2/(d^2*g+e^2*f)*ln(g*x^2+f)*a+b/g*n*e^2/(d^2*g+e^2*f)*ln(e*x+d)*a+1/2*b^2/g*n^2*e^2/(d^2*g+e^2*f)*ln(d^2*g+e^2*f-2*(e*x+d)*d*g+(e*x+d)^2*g)*ln(e*x+d)-1/2*b^2/g*n^2*e^2/(d^2*g+e^2*f)*ln(e*x+d)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*b^2/g*n^2*e^2/(d^2*g+e^2*f)*ln(e*x+d)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*b^2*n^2*e/(d^2*g+e^2*f)/(-f*g)^(1/2)*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))*d-1/2*b^2*n^2*e/(d^2*g+e^2*f)/(-f*g)^(1/2)*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))*d","C"
323,0,0,712,1.171000," ","int((b*ln(c*(e*x+d)^n)+a)^2/x/(g*x^2+f)^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\left(g \,x^{2}+f \right)^{2} x}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/x/(g*x^2+f)^2,x)","F"
324,0,0,870,1.364000," ","int((b*ln(c*(e*x+d)^n)+a)^2/x^3/(g*x^2+f)^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\left(g \,x^{2}+f \right)^{2} x^{3}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/x^3/(g*x^2+f)^2,x)","F"
325,0,0,741,12.124000," ","int(x^4*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f)^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} x^{4}}{\left(g \,x^{2}+f \right)^{2}}\, dx"," ",0,"int(x^4*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f)^2,x)","F"
326,0,0,659,63.857000," ","int(x^2*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f)^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} x^{2}}{\left(g \,x^{2}+f \right)^{2}}\, dx"," ",0,"int(x^2*(b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f)^2,x)","F"
327,0,0,665,46.013000," ","int((b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f)^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\left(g \,x^{2}+f \right)^{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/(g*x^2+f)^2,x)","F"
328,0,0,763,17.496000," ","int((b*ln(c*(e*x+d)^n)+a)^2/x^2/(g*x^2+f)^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}{\left(g \,x^{2}+f \right)^{2} x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2/x^2/(g*x^2+f)^2,x)","F"
329,0,0,385,13.429000," ","int(ln(c*(b*x+a)^n)^3/(e*x^2+d),x)","\int \frac{\ln \left(c \left(b x +a \right)^{n}\right)^{3}}{e \,x^{2}+d}\, dx"," ",0,"int(ln(c*(b*x+a)^n)^3/(e*x^2+d),x)","F"
330,0,0,279,13.190000," ","int(ln(c*(b*x+a)^n)^2/(e*x^2+d),x)","\int \frac{\ln \left(c \left(b x +a \right)^{n}\right)^{2}}{e \,x^{2}+d}\, dx"," ",0,"int(ln(c*(b*x+a)^n)^2/(e*x^2+d),x)","F"
331,1,419,177,0.266000," ","int(ln(c*(b*x+a)^n)/(e*x^2+d),x)","-\frac{i \pi  \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)}{2 \sqrt{d e}}+\frac{i \pi  \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{2 \sqrt{d e}}+\frac{i \pi  \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{2 \sqrt{d e}}-\frac{i \pi  \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3}}{2 \sqrt{d e}}+\frac{n \ln \left(\frac{a e +\sqrt{-d e}\, b -\left(b x +a \right) e}{a e +\sqrt{-d e}\, b}\right) \ln \left(b x +a \right)}{2 \sqrt{-d e}}-\frac{n \ln \left(\frac{-a e +\sqrt{-d e}\, b +\left(b x +a \right) e}{-a e +\sqrt{-d e}\, b}\right) \ln \left(b x +a \right)}{2 \sqrt{-d e}}+\frac{n \dilog \left(\frac{a e +\sqrt{-d e}\, b -\left(b x +a \right) e}{a e +\sqrt{-d e}\, b}\right)}{2 \sqrt{-d e}}-\frac{n \dilog \left(\frac{-a e +\sqrt{-d e}\, b +\left(b x +a \right) e}{-a e +\sqrt{-d e}\, b}\right)}{2 \sqrt{-d e}}+\frac{\arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{\sqrt{d e}}+\frac{\left(-n \ln \left(b x +a \right)+\ln \left(\left(b x +a \right)^{n}\right)\right) \arctan \left(\frac{-2 a e +2 \left(b x +a \right) e}{2 \sqrt{d e}\, b}\right)}{\sqrt{d e}}"," ",0,"(ln((b*x+a)^n)-n*ln(b*x+a))/(d*e)^(1/2)*arctan(1/2*(2*(b*x+a)*e-2*a*e)/b/(d*e)^(1/2))+1/2*n*ln(b*x+a)/(-d*e)^(1/2)*ln((b*(-d*e)^(1/2)-(b*x+a)*e+a*e)/(b*(-d*e)^(1/2)+a*e))-1/2*n*ln(b*x+a)/(-d*e)^(1/2)*ln((b*(-d*e)^(1/2)+(b*x+a)*e-a*e)/(b*(-d*e)^(1/2)-a*e))+1/2*n/(-d*e)^(1/2)*dilog((b*(-d*e)^(1/2)-(b*x+a)*e+a*e)/(b*(-d*e)^(1/2)+a*e))-1/2*n/(-d*e)^(1/2)*dilog((b*(-d*e)^(1/2)+(b*x+a)*e-a*e)/(b*(-d*e)^(1/2)-a*e))+1/2*I/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2-1/2*I/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)-1/2*I/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*Pi*csgn(I*c*(b*x+a)^n)^3+1/2*I/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)+1/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(c)","C"
332,0,0,72,0.712000," ","int(1/(e*x^2+d)/ln(c*(b*x+a)^n),x)","\int \frac{1}{\left(e \,x^{2}+d \right) \ln \left(c \left(b x +a \right)^{n}\right)}\, dx"," ",0,"int(1/(e*x^2+d)/ln(c*(b*x+a)^n),x)","F"
333,1,24,27,0.052000," ","int(ln(c-a*(1-c)/b/(x^m))/x/(a+b*x^m),x)","\frac{\dilog \left(\frac{\left(c -1\right) a \,x^{-m}}{b}+c \right)}{a m}"," ",0,"1/m*dilog(c+a*(-1+c)/(x^m)/b)/a","A"
334,1,24,27,0.052000," ","int(ln((-a+a*c+b*c*x^m)/b/(x^m))/x/(a+b*x^m),x)","\frac{\dilog \left(\frac{\left(c -1\right) a \,x^{-m}}{b}+c \right)}{a m}"," ",0,"1/m*dilog(c+a*(c-1)/(x^m)/b)/a","A"
335,1,28,28,0.053000," ","int(ln(c*(a+(a*c*d-d)/c/e/(x^m)))/x/(e*x^m+d),x)","\frac{\dilog \left(a c +\frac{\left(a c -1\right) d \,x^{-m}}{e}\right)}{d m}"," ",0,"1/m*dilog(a*c+d*(a*c-1)/e/(x^m))/d","A"
336,1,28,28,0.054000," ","int(ln((-d+a*c*d+a*c*e*x^m)/e/(x^m))/x/(e*x^m+d),x)","\frac{\dilog \left(a c +\frac{\left(a c -1\right) d \,x^{-m}}{e}\right)}{d m}"," ",0,"1/m*dilog(a*c+d*(a*c-1)/e/(x^m))/d","A"
337,1,20,22,0.049000," ","int(ln(2/(b*x+a)*a)/(-b^2*x^2+a^2),x)","\frac{\dilog \left(\frac{2 a}{b x +a}\right)}{2 a b}"," ",0,"1/2/b*dilog(2/(b*x+a)*a)/a","A"
338,1,20,22,0.051000," ","int(ln(2/(b*x+a)*a)/(-b*x+a)/(b*x+a),x)","\frac{\dilog \left(\frac{2 a}{b x +a}\right)}{2 a b}"," ",0,"1/2/b*dilog(2/(b*x+a)*a)/a","A"
339,1,24,36,0.056000," ","int(ln((a*(1-c)+b*(1+c)*x)/(b*x+a))/(-b^2*x^2+a^2),x)","\frac{\dilog \left(-\frac{2 a c}{b x +a}+c +1\right)}{2 a b}"," ",0,"1/2/b*dilog(1+c-2*a*c/(b*x+a))/a","A"
340,1,24,25,0.050000," ","int(ln((a*(1-c)+b*(1+c)*x)/(b*x+a))/(-b*x+a)/(b*x+a),x)","\frac{\dilog \left(-\frac{2 a c}{b x +a}+c +1\right)}{2 a b}"," ",0,"1/2/b*dilog(-2/(b*x+a)*a*c+c+1)/a","A"
341,1,24,25,0.052000," ","int(ln(1-c*(-b*x+a)/(b*x+a))/(-b^2*x^2+a^2),x)","\frac{\dilog \left(-\frac{2 a c}{b x +a}+c +1\right)}{2 a b}"," ",0,"1/2/b*dilog(-2/(b*x+a)*a*c+c+1)/a","A"
342,1,24,25,0.050000," ","int(ln(1-c*(-b*x+a)/(b*x+a))/(-b*x+a)/(b*x+a),x)","\frac{\dilog \left(-\frac{2 a c}{b x +a}+c +1\right)}{2 a b}"," ",0,"1/2/b*dilog(-2/(b*x+a)*a*c+c+1)/a","A"
343,1,12205,238,1.076000," ","int(ln(c*(b*x+a)^n)^3/(e*x^2+d*x),x)","\text{output too large to display}"," ",0,"result too large to display","C"
344,1,2679,168,0.519000," ","int(ln(c*(b*x+a)^n)^2/(e*x^2+d*x),x)","\text{Expression too large to display}"," ",0,"I*n/d*ln(x)*ln((b*x+a)/a)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)-I*n/d*ln(e*x+d)*ln((b*(e*x+d)+a*e-b*d)/(a*e-b*d))*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)-1/d*ln(e*x+d)*ln(c)^2-2*n^2/d*polylog(3,(b*x+a)/a)+2*n^2*polylog(3,-e*(b*x+a)/(-a*e+b*d))/d-I*ln((b*x+a)^n)/d*ln(x)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)+I*n/d*ln(e*x+d)*ln((b*(e*x+d)+a*e-b*d)/(a*e-b*d))*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)+I/d*ln(e*x+d)*ln((b*x+a)^n)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)+I*n/d*dilog((b*x+a)/a)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)+I*n/d*ln(e*x+d)*ln((b*(e*x+d)+a*e-b*d)/(a*e-b*d))*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2+1/d*ln(x)*ln(c)^2-I*n/d*dilog((b*(e*x+d)+a*e-b*d)/(a*e-b*d))*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)-(-n*ln(b*x+a)+ln((b*x+a)^n))^2/d*ln((b*x+a)*e-a*e+b*d)+(-n*ln(b*x+a)+ln((b*x+a)^n))^2/d*ln(b*x)-2*n/d*dilog((b*x+a)/a)*ln(c)+2*n/d*dilog((b*(e*x+d)+a*e-b*d)/(a*e-b*d))*ln(c)-n^2/d*ln(b*x+a)^2*ln(1+e*(b*x+a)/(-a*e+b*d))-2*n^2/d*ln(b*x+a)*polylog(2,-e*(b*x+a)/(-a*e+b*d))+n^2/d*ln(b*x+a)^2*ln(1-(b*x+a)/a)+2*n^2/d*ln(b*x+a)*polylog(2,(b*x+a)/a)-I*n/d*ln(x)*ln((b*x+a)/a)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2-I/d*ln(x)*ln(c)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)-I*n/d*ln(x)*ln((b*x+a)/a)*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)+I/d*ln(e*x+d)*ln(c)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)+I*n/d*dilog((b*(e*x+d)+a*e-b*d)/(a*e-b*d))*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2+I*ln((b*x+a)^n)/d*ln(x)*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)+2*ln((b*x+a)^n)/d*ln(x)*ln(c)-1/4/d*ln(x)*Pi^2*csgn(I*c*(b*x+a)^n)^6+1/4/d*ln(e*x+d)*Pi^2*csgn(I*c*(b*x+a)^n)^6-2*n*(-n*ln(b*x+a)+ln((b*x+a)^n))/d*dilog(((b*x+a)*e-a*e+b*d)/(-a*e+b*d))+2*n*(-n*ln(b*x+a)+ln((b*x+a)^n))/d*dilog(-1/a*b*x)-2/d*ln(e*x+d)*ln((b*x+a)^n)*ln(c)+I/d*ln(x)*ln(c)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2+I*n/d*ln(x)*ln((b*x+a)/a)*Pi*csgn(I*c*(b*x+a)^n)^3+I*n/d*dilog((b*(e*x+d)+a*e-b*d)/(a*e-b*d))*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)+I/d*ln(x)*ln(c)*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)+I*ln((b*x+a)^n)/d*ln(x)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2-I/d*ln(e*x+d)*ln(c)*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)-2*n*(-n*ln(b*x+a)+ln((b*x+a)^n))/d*ln(b*x+a)*ln(((b*x+a)*e-a*e+b*d)/(-a*e+b*d))+2*n*(-n*ln(b*x+a)+ln((b*x+a)^n))/d*ln(b*x+a)*ln(-1/a*b*x)-1/4/d*ln(x)*Pi^2*csgn(I*c*(b*x+a)^n)^4*csgn(I*c)^2+1/4/d*ln(e*x+d)*Pi^2*csgn(I*(b*x+a)^n)^2*csgn(I*c*(b*x+a)^n)^4-1/2/d*ln(e*x+d)*Pi^2*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^5-1/2/d*ln(e*x+d)*Pi^2*csgn(I*c*(b*x+a)^n)^5*csgn(I*c)+1/4/d*ln(e*x+d)*Pi^2*csgn(I*(b*x+a)^n)^2*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)^2-1/2/d*ln(e*x+d)*Pi^2*csgn(I*(b*x+a)^n)^2*csgn(I*c*(b*x+a)^n)^3*csgn(I*c)+1/d*ln(e*x+d)*Pi^2*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^4*csgn(I*c)+I*n/d*dilog((b*x+a)/a)*Pi*csgn(I*c*(b*x+a)^n)^3+I/d*ln(e*x+d)*ln(c)*Pi*csgn(I*c*(b*x+a)^n)^3-I*n/d*dilog((b*(e*x+d)+a*e-b*d)/(a*e-b*d))*Pi*csgn(I*c*(b*x+a)^n)^3+1/2/d*ln(x)*Pi^2*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^3*csgn(I*c)^2-1/2/d*ln(e*x+d)*Pi^2*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^3*csgn(I*c)^2+I/d*ln(e*x+d)*ln((b*x+a)^n)*Pi*csgn(I*c*(b*x+a)^n)^3-1/d*ln(x)*Pi^2*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^4*csgn(I*c)+1/2/d*ln(x)*Pi^2*csgn(I*(b*x+a)^n)^2*csgn(I*c*(b*x+a)^n)^3*csgn(I*c)-2*n/d*ln(x)*ln((b*x+a)/a)*ln(c)+2*n/d*ln(e*x+d)*ln((b*(e*x+d)+a*e-b*d)/(a*e-b*d))*ln(c)-1/4/d*ln(x)*Pi^2*csgn(I*(b*x+a)^n)^2*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)^2+1/2/d*ln(x)*Pi^2*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^5+1/2/d*ln(x)*Pi^2*csgn(I*c*(b*x+a)^n)^5*csgn(I*c)+1/4/d*ln(e*x+d)*Pi^2*csgn(I*c*(b*x+a)^n)^4*csgn(I*c)^2-1/4/d*ln(x)*Pi^2*csgn(I*(b*x+a)^n)^2*csgn(I*c*(b*x+a)^n)^4-I*n/d*ln(e*x+d)*ln((b*(e*x+d)+a*e-b*d)/(a*e-b*d))*Pi*csgn(I*c*(b*x+a)^n)^3-I*ln((b*x+a)^n)/d*ln(x)*Pi*csgn(I*c*(b*x+a)^n)^3-I/d*ln(x)*ln(c)*Pi*csgn(I*c*(b*x+a)^n)^3-I/d*ln(e*x+d)*ln((b*x+a)^n)*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)-I/d*ln(e*x+d)*ln((b*x+a)^n)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2-I*n/d*dilog((b*x+a)/a)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2-I*n/d*dilog((b*x+a)/a)*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)-I/d*ln(e*x+d)*ln(c)*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2","C"
345,1,420,97,0.227000," ","int(ln(c*(b*x+a)^n)/(e*x^2+d*x),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right) \ln \left(x \right)}{2 d}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right) \ln \left(e x +d \right)}{2 d}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(e x +d \right)}{2 d}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2} \ln \left(e x +d \right)}{2 d}-\frac{i \pi  \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3} \ln \left(x \right)}{2 d}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3} \ln \left(e x +d \right)}{2 d}-\frac{n \ln \left(x \right) \ln \left(\frac{b x +a}{a}\right)}{d}+\frac{n \ln \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right) \ln \left(e x +d \right)}{d}-\frac{n \dilog \left(\frac{b x +a}{a}\right)}{d}+\frac{n \dilog \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right)}{d}+\frac{\ln \left(c \right) \ln \left(x \right)}{d}-\frac{\ln \left(c \right) \ln \left(e x +d \right)}{d}+\frac{\ln \left(x \right) \ln \left(\left(b x +a \right)^{n}\right)}{d}-\frac{\ln \left(\left(b x +a \right)^{n}\right) \ln \left(e x +d \right)}{d}"," ",0,"ln((b*x+a)^n)/d*ln(x)-1/d*ln(e*x+d)*ln((b*x+a)^n)-n/d*dilog((b*x+a)/a)-n/d*ln(x)*ln((b*x+a)/a)+n/d*dilog((a*e-b*d+(e*x+d)*b)/(a*e-b*d))+n/d*ln(e*x+d)*ln((a*e-b*d+(e*x+d)*b)/(a*e-b*d))-1/2*I*Pi*csgn(I*c*(b*x+a)^n)^3/d*ln(x)-1/2*I*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2/d*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)/d*ln(x)+1/2*I*Pi*csgn(I*c*(b*x+a)^n)^3/d*ln(e*x+d)-1/2*I*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)/d*ln(e*x+d)+1/2*I*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)/d*ln(e*x+d)+1/2*I*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2/d*ln(x)+1/2*I*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)/d*ln(x)+ln(c)/d*ln(x)-ln(c)/d*ln(e*x+d)","C"
346,0,0,51,0.708000," ","int(1/(e*x^2+d*x)/ln(c*(b*x+a)^n),x)","\int \frac{1}{\left(e \,x^{2}+d x \right) \ln \left(c \left(b x +a \right)^{n}\right)}\, dx"," ",0,"int(1/(e*x^2+d*x)/ln(c*(b*x+a)^n),x)","F"
347,0,0,464,27.237000," ","int(ln(c*(b*x+a)^n)^3/(f*x^2+e*x+d),x)","\int \frac{\ln \left(c \left(b x +a \right)^{n}\right)^{3}}{f \,x^{2}+e x +d}\, dx"," ",0,"int(ln(c*(b*x+a)^n)^3/(f*x^2+e*x+d),x)","F"
348,0,0,344,20.052000," ","int(ln(c*(b*x+a)^n)^2/(f*x^2+e*x+d),x)","\int \frac{\ln \left(c \left(b x +a \right)^{n}\right)^{2}}{f \,x^{2}+e x +d}\, dx"," ",0,"int(ln(c*(b*x+a)^n)^2/(f*x^2+e*x+d),x)","F"
349,1,689,223,0.263000," ","int(ln(c*(b*x+a)^n)/(f*x^2+e*x+d),x)","\frac{b n \ln \left(\frac{2 a f -b e -2 \left(b x +a \right) f +\sqrt{-4 b^{2} d f +b^{2} e^{2}}}{2 a f -b e +\sqrt{-4 b^{2} d f +b^{2} e^{2}}}\right) \ln \left(b x +a \right)}{\sqrt{-4 b^{2} d f +b^{2} e^{2}}}-\frac{b n \ln \left(\frac{-2 a f +b e +2 \left(b x +a \right) f +\sqrt{-4 b^{2} d f +b^{2} e^{2}}}{-2 a f +b e +\sqrt{-4 b^{2} d f +b^{2} e^{2}}}\right) \ln \left(b x +a \right)}{\sqrt{-4 b^{2} d f +b^{2} e^{2}}}-\frac{i \pi  \arctan \left(\frac{2 f x +e}{\sqrt{4 d f -e^{2}}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)}{\sqrt{4 d f -e^{2}}}+\frac{i \pi  \arctan \left(\frac{2 f x +e}{\sqrt{4 d f -e^{2}}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{\sqrt{4 d f -e^{2}}}+\frac{i \pi  \arctan \left(\frac{2 f x +e}{\sqrt{4 d f -e^{2}}}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{2}}{\sqrt{4 d f -e^{2}}}-\frac{i \pi  \arctan \left(\frac{2 f x +e}{\sqrt{4 d f -e^{2}}}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{n}\right)^{3}}{\sqrt{4 d f -e^{2}}}+\frac{b n \dilog \left(\frac{2 a f -b e -2 \left(b x +a \right) f +\sqrt{-4 b^{2} d f +b^{2} e^{2}}}{2 a f -b e +\sqrt{-4 b^{2} d f +b^{2} e^{2}}}\right)}{\sqrt{-4 b^{2} d f +b^{2} e^{2}}}-\frac{b n \dilog \left(\frac{-2 a f +b e +2 \left(b x +a \right) f +\sqrt{-4 b^{2} d f +b^{2} e^{2}}}{-2 a f +b e +\sqrt{-4 b^{2} d f +b^{2} e^{2}}}\right)}{\sqrt{-4 b^{2} d f +b^{2} e^{2}}}+\frac{2 \left(-n \ln \left(b x +a \right)+\ln \left(\left(b x +a \right)^{n}\right)\right) b \arctan \left(\frac{-2 a f +b e +2 \left(b x +a \right) f}{\sqrt{4 b^{2} d f -b^{2} e^{2}}}\right)}{\sqrt{4 b^{2} d f -b^{2} e^{2}}}+\frac{2 \arctan \left(\frac{2 f x +e}{\sqrt{4 d f -e^{2}}}\right) \ln \left(c \right)}{\sqrt{4 d f -e^{2}}}"," ",0,"2*b*(-n*ln(b*x+a)+ln((b*x+a)^n))/(4*b^2*d*f-b^2*e^2)^(1/2)*arctan((2*(b*x+a)*f-2*a*f+b*e)/(4*b^2*d*f-b^2*e^2)^(1/2))+b*n/(-4*b^2*d*f+b^2*e^2)^(1/2)*ln(b*x+a)*ln((-2*(b*x+a)*f+2*a*f-b*e+(-4*b^2*d*f+b^2*e^2)^(1/2))/(2*a*f-b*e+(-4*b^2*d*f+b^2*e^2)^(1/2)))-b*n/(-4*b^2*d*f+b^2*e^2)^(1/2)*ln(b*x+a)*ln((2*(b*x+a)*f-2*a*f+b*e+(-4*b^2*d*f+b^2*e^2)^(1/2))/(-2*a*f+b*e+(-4*b^2*d*f+b^2*e^2)^(1/2)))+b*n/(-4*b^2*d*f+b^2*e^2)^(1/2)*dilog((-2*(b*x+a)*f+2*a*f-b*e+(-4*b^2*d*f+b^2*e^2)^(1/2))/(2*a*f-b*e+(-4*b^2*d*f+b^2*e^2)^(1/2)))-b*n/(-4*b^2*d*f+b^2*e^2)^(1/2)*dilog((2*(b*x+a)*f-2*a*f+b*e+(-4*b^2*d*f+b^2*e^2)^(1/2))/(-2*a*f+b*e+(-4*b^2*d*f+b^2*e^2)^(1/2)))+I/(4*d*f-e^2)^(1/2)*arctan((2*f*x+e)/(4*d*f-e^2)^(1/2))*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)^2-I/(4*d*f-e^2)^(1/2)*arctan((2*f*x+e)/(4*d*f-e^2)^(1/2))*Pi*csgn(I*(b*x+a)^n)*csgn(I*c*(b*x+a)^n)*csgn(I*c)-I/(4*d*f-e^2)^(1/2)*arctan((2*f*x+e)/(4*d*f-e^2)^(1/2))*Pi*csgn(I*c*(b*x+a)^n)^3+I/(4*d*f-e^2)^(1/2)*arctan((2*f*x+e)/(4*d*f-e^2)^(1/2))*Pi*csgn(I*c*(b*x+a)^n)^2*csgn(I*c)+2/(4*d*f-e^2)^(1/2)*arctan((2*f*x+e)/(4*d*f-e^2)^(1/2))*ln(c)","C"
350,0,0,95,1.457000," ","int(1/(f*x^2+e*x+d)/ln(c*(b*x+a)^n),x)","\int \frac{1}{\left(f \,x^{2}+e x +d \right) \ln \left(c \left(b x +a \right)^{n}\right)}\, dx"," ",0,"int(1/(f*x^2+e*x+d)/ln(c*(b*x+a)^n),x)","F"
351,1,791,258,0.054000," ","int(x^3*ln(x)/(c*x^2+b*x+a),x)","-\frac{3 a b \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c^{2}}+\frac{3 a b \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c^{2}}+\frac{b^{3} \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c^{3}}-\frac{b^{3} \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c^{3}}+\frac{x^{2} \ln \left(x \right)}{2 c}-\frac{3 a b \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c^{2}}+\frac{3 a b \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c^{2}}-\frac{a \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 c^{2}}-\frac{a \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 c^{2}}+\frac{b^{3} \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c^{3}}-\frac{b^{3} \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c^{3}}+\frac{b^{2} \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 c^{3}}+\frac{b^{2} \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 c^{3}}-\frac{b x \ln \left(x \right)}{c^{2}}-\frac{x^{2}}{4 c}-\frac{a \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 c^{2}}-\frac{a \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 c^{2}}+\frac{b^{2} \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 c^{3}}+\frac{b^{2} \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 c^{3}}+\frac{b x}{c^{2}}"," ",0,"1/2*x^2*ln(x)/c-1/4/c*x^2-b*x*ln(x)/c^2+b*x/c^2-1/2/c^2*ln(x)*ln((-2*c*x+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*a+1/2/c^3*ln(x)*ln((-2*c*x+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*b^2+3/2/c^2*ln(x)/(-4*a*c+b^2)^(1/2)*ln((-2*c*x+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*a*b-1/2/c^3*ln(x)/(-4*a*c+b^2)^(1/2)*ln((-2*c*x+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*b^3-1/2/c^2*ln(x)*ln((b+2*c*x+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*a+1/2/c^3*ln(x)*ln((b+2*c*x+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b^2-3/2/c^2*ln(x)/(-4*a*c+b^2)^(1/2)*ln((b+2*c*x+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*a*b+1/2/c^3*ln(x)/(-4*a*c+b^2)^(1/2)*ln((b+2*c*x+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b^3-1/2/c^2*dilog((-2*c*x+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*a+1/2/c^3*dilog((-2*c*x+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*b^2+3/2/c^2/(-4*a*c+b^2)^(1/2)*dilog((-2*c*x+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*a*b-1/2/c^3/(-4*a*c+b^2)^(1/2)*dilog((-2*c*x+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*b^3-1/2/c^2*dilog((b+2*c*x+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*a+1/2/c^3*dilog((b+2*c*x+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b^2-3/2/c^2/(-4*a*c+b^2)^(1/2)*dilog((b+2*c*x+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*a*b+1/2/c^3/(-4*a*c+b^2)^(1/2)*dilog((b+2*c*x+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b^3","B"
352,1,593,212,0.054000," ","int(x^2*ln(x)/(c*x^2+b*x+a),x)","\frac{a \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{\sqrt{-4 a c +b^{2}}\, c}-\frac{a \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{\sqrt{-4 a c +b^{2}}\, c}-\frac{b^{2} \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c^{2}}+\frac{b^{2} \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c^{2}}+\frac{a \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{\sqrt{-4 a c +b^{2}}\, c}-\frac{a \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{\sqrt{-4 a c +b^{2}}\, c}-\frac{b^{2} \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c^{2}}+\frac{b^{2} \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c^{2}}-\frac{b \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 c^{2}}-\frac{b \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 c^{2}}+\frac{x \ln \left(x \right)}{c}-\frac{b \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 c^{2}}-\frac{b \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 c^{2}}-\frac{x}{c}"," ",0,"x*ln(x)/c-1/c*x-1/2/c^2*ln(x)*ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b-1/c*ln(x)/(-4*a*c+b^2)^(1/2)*ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*a+1/2/c^2*ln(x)/(-4*a*c+b^2)^(1/2)*ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b^2-1/2/c^2*ln(x)*ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b+1/c*ln(x)/(-4*a*c+b^2)^(1/2)*ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*a-1/2/c^2*ln(x)/(-4*a*c+b^2)^(1/2)*ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b^2-1/2/c^2*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b-1/c/(-4*a*c+b^2)^(1/2)*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*a+1/2/c^2/(-4*a*c+b^2)^(1/2)*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b^2-1/2/c^2*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b+1/c/(-4*a*c+b^2)^(1/2)*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*a-1/2/c^2/(-4*a*c+b^2)^(1/2)*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b^2","B"
353,1,361,169,0.053000," ","int(x*ln(x)/(c*x^2+b*x+a),x)","\frac{b \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c}-\frac{b \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, c}+\frac{\dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 c}+\frac{\dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 c}+\frac{\left(b \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)-b \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)+\sqrt{-4 a c +b^{2}}\, \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)+\sqrt{-4 a c +b^{2}}\, \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)\right) \ln \left(x \right)}{2 \sqrt{-4 a c +b^{2}}\, c}"," ",0,"1/2*ln(x)*(ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*(-4*a*c+b^2)^(1/2)-ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b+ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*(-4*a*c+b^2)^(1/2)+ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b)/c/(-4*a*c+b^2)^(1/2)+1/2/c*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))-1/2/c/(-4*a*c+b^2)^(1/2)*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b+1/2/c*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))+1/2/c/(-4*a*c+b^2)^(1/2)*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b","B"
354,1,178,137,0.053000," ","int(ln(x)/(c*x^2+b*x+a),x)","-\frac{\dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{\sqrt{-4 a c +b^{2}}}+\frac{\dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{\sqrt{-4 a c +b^{2}}}-\frac{\left(\ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)-\ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)\right) \ln \left(x \right)}{\sqrt{-4 a c +b^{2}}}"," ",0,"-ln(x)*(ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))-ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2))))/(-4*a*c+b^2)^(1/2)+1/(-4*a*c+b^2)^(1/2)*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))-1/(-4*a*c+b^2)^(1/2)*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))","A"
355,1,375,178,0.059000," ","int(ln(x)/x/(c*x^2+b*x+a),x)","\frac{b \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a}-\frac{b \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a}+\frac{b \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a}-\frac{b \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a}+\frac{\ln \left(x \right)^{2}}{2 a}-\frac{\ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 a}-\frac{\ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 a}-\frac{\dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 a}-\frac{\dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 a}"," ",0,"-1/2/a*ln(x)*ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))-1/2/a*ln(x)/(-4*a*c+b^2)^(1/2)*ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b-1/2/a*ln(x)*ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))+1/2/a*ln(x)/(-4*a*c+b^2)^(1/2)*ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b-1/2/a*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))-1/2/a/(-4*a*c+b^2)^(1/2)*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b-1/2/a*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))+1/2/a/(-4*a*c+b^2)^(1/2)*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b+1/2*ln(x)^2/a","B"
356,1,608,227,0.055000," ","int(ln(x)/x^2/(c*x^2+b*x+a),x)","\frac{c \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{\sqrt{-4 a c +b^{2}}\, a}-\frac{c \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{\sqrt{-4 a c +b^{2}}\, a}-\frac{b^{2} \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a^{2}}+\frac{b^{2} \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a^{2}}+\frac{c \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{\sqrt{-4 a c +b^{2}}\, a}-\frac{c \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{\sqrt{-4 a c +b^{2}}\, a}-\frac{b^{2} \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a^{2}}+\frac{b^{2} \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a^{2}}-\frac{b \ln \left(x \right)^{2}}{2 a^{2}}+\frac{b \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 a^{2}}+\frac{b \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 a^{2}}+\frac{b \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 a^{2}}+\frac{b \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 a^{2}}-\frac{\ln \left(x \right)}{a x}-\frac{1}{a x}"," ",0,"-ln(x)/a/x-1/a/x+1/2/a^2*ln(x)*ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b-1/a*ln(x)/(-4*a*c+b^2)^(1/2)*ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*c+1/2/a^2*ln(x)/(-4*a*c+b^2)^(1/2)*ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b^2+1/2/a^2*ln(x)*ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b+1/a*ln(x)/(-4*a*c+b^2)^(1/2)*ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*c-1/2/a^2*ln(x)/(-4*a*c+b^2)^(1/2)*ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b^2+1/2/a^2*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b-1/a/(-4*a*c+b^2)^(1/2)*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*c+1/2/a^2/(-4*a*c+b^2)^(1/2)*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b^2+1/2/a^2*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b+1/a/(-4*a*c+b^2)^(1/2)*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*c-1/2/a^2/(-4*a*c+b^2)^(1/2)*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b^2-1/2*b*ln(x)^2/a^2","B"
357,1,816,278,0.056000," ","int(ln(x)/x^3/(c*x^2+b*x+a),x)","-\frac{3 b c \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a^{2}}+\frac{3 b c \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a^{2}}+\frac{b^{3} \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a^{3}}-\frac{b^{3} \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a^{3}}-\frac{3 b c \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a^{2}}+\frac{3 b c \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a^{2}}-\frac{c \ln \left(x \right)^{2}}{2 a^{2}}+\frac{c \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 a^{2}}+\frac{c \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 a^{2}}+\frac{b^{3} \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a^{3}}-\frac{b^{3} \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a^{3}}+\frac{b^{2} \ln \left(x \right)^{2}}{2 a^{3}}-\frac{b^{2} \ln \left(x \right) \ln \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 a^{3}}-\frac{b^{2} \ln \left(x \right) \ln \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 a^{3}}+\frac{c \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 a^{2}}+\frac{c \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 a^{2}}-\frac{b^{2} \dilog \left(\frac{2 c x +b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 a^{3}}-\frac{b^{2} \dilog \left(\frac{-2 c x -b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 a^{3}}+\frac{b \ln \left(x \right)}{a^{2} x}-\frac{\ln \left(x \right)}{2 a \,x^{2}}+\frac{b}{a^{2} x}-\frac{1}{4 a \,x^{2}}"," ",0,"b*ln(x)/a^2/x+b/a^2/x+1/2/a^2*ln(x)*ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*c-1/2/a^3*ln(x)*ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b^2+3/2/a^2*ln(x)/(-4*a*c+b^2)^(1/2)*ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b*c-1/2/a^3*ln(x)/(-4*a*c+b^2)^(1/2)*ln((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b^3+1/2/a^2*ln(x)*ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*c-1/2/a^3*ln(x)*ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b^2-3/2/a^2*ln(x)/(-4*a*c+b^2)^(1/2)*ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b*c+1/2/a^3*ln(x)/(-4*a*c+b^2)^(1/2)*ln((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b^3+1/2/a^2*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*c-1/2/a^3*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b^2+3/2/a^2/(-4*a*c+b^2)^(1/2)*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b*c-1/2/a^3/(-4*a*c+b^2)^(1/2)*dilog((-2*c*x-b+(-4*a*c+b^2)^(1/2))/(-b+(-4*a*c+b^2)^(1/2)))*b^3+1/2/a^2*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*c-1/2/a^3*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b^2-3/2/a^2/(-4*a*c+b^2)^(1/2)*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b*c+1/2/a^3/(-4*a*c+b^2)^(1/2)*dilog((2*c*x+b+(-4*a*c+b^2)^(1/2))/(b+(-4*a*c+b^2)^(1/2)))*b^3-1/2*ln(x)/a/x^2-1/4/a/x^2-1/2*ln(x)^2/a^2*c+1/2*ln(x)^2/a^3*b^2","B"
358,1,2330,208,0.925000," ","int(x^3*ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a),x)","\text{Expression too large to display}"," ",0,"-1/16*a*m*x^4-1/16*n*b*ln(x^m)*x^4+1/4*b*ln(c)*x^4*ln(x^m)+1/4*x^4*ln(f)*a-1/16*I/e^2*Pi*x^2*b*d^2*n*csgn(I*x^m)*csgn(I*f*x^m)^2+1/24*I/e*Pi*x^3*b*d*n*csgn(I*f)*csgn(I*f*x^m)^2-1/8*I/e^4*b*d^4*n*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*f*x^m)^2-1/8/e^2*ln(f)*x^2*b*d^2*n+1/4/e^3*ln(f)*b*d^3*n*x-1/4/e^4*b*d^4*n*ln(e*x+d)*ln(f)+1/12/e*ln(f)*x^3*b*d*n+1/4*a*x^4*ln(x^m)+1/8*I*x^4*ln(f)*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/8*I*x^4*ln(f)*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/8*I*x^4*Pi*ln(c)*b*csgn(I*f)*csgn(I*f*x^m)^2+1/24*I/e*Pi*x^3*b*d*n*csgn(I*x^m)*csgn(I*f*x^m)^2-1/16*I/e^2*Pi*x^2*b*d^2*n*csgn(I*f)*csgn(I*f*x^m)^2+1/8*I/e^3*Pi*b*d^3*n*csgn(I*f)*csgn(I*f*x^m)^2*x+1/8*I/e^3*Pi*b*d^3*n*csgn(I*x^m)*csgn(I*f*x^m)^2*x-1/16*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^4*csgn(I*f*x^m)^3-1/16*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^4*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/8*I*x^4*Pi*a*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/16*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^4*csgn(I*x^m)*csgn(I*f*x^m)^2-1/16*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^4*csgn(I*f)*csgn(I*f*x^m)^2-1/16*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^4*csgn(I*x^m)*csgn(I*f*x^m)^2+1/4*x^4*ln(f)*ln(c)*b-1/16*x^4*ln(f)*b*n-1/16*b*m*x^4*ln(c)-1/8/e^2*n*b*ln(x^m)*x^2*d^2+1/4/e^3*n*b*ln(x^m)*x*d^3-1/4/e^4*n*b*ln(x^m)*d^4*ln(e*x+d)-1/8*I*x^4*Pi*ln(c)*b*csgn(I*f*x^m)^3-1/16*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^4*csgn(I*f*x^m)^3-1/16*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^4*csgn(I*f)*csgn(I*f*x^m)^2+1/4*m/e^4*b*d^4*n*dilog(-1/d*e*x)+(1/4*b*x^4*ln(x^m)+1/16*b*x^4*(-2*I*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+2*I*Pi*csgn(I*f)*csgn(I*f*x^m)^2+2*I*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-2*I*Pi*csgn(I*f*x^m)^3+4*ln(f)-m))*ln((e*x+d)^n)+1/4*m/e^4*b*d^4*n*ln(e*x+d)*ln(-1/d*e*x)-1/8*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^4*ln(x^m)-205/576*b*d^4*m*n/e^4+1/8*I/e^4*b*d^4*n*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/8*I/e^3*Pi*b*d^3*n*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*x+1/32*b*m*n*x^4+1/16*b*d^4*m*n*ln(e*x+d)/e^4-1/24*I/e*Pi*x^3*b*d*n*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/16*I/e^2*Pi*x^2*b*d^2*n*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/12/e*n*b*ln(x^m)*x^3*d-1/8*I/e^4*b*d^4*n*ln(e*x+d)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-1/16*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^4*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/16*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^4*csgn(I*f)*csgn(I*f*x^m)^2+1/16*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^4*csgn(I*x^m)*csgn(I*f*x^m)^2+1/16*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^4*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/8*I*x^4*Pi*a*csgn(I*f)*csgn(I*f*x^m)^2+1/8*I*x^4*Pi*a*csgn(I*x^m)*csgn(I*f*x^m)^2+1/32*I*m*Pi*b*x^4*csgn(I*c*(e*x+d)^n)^3+1/16*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^4*csgn(I*f*x^m)^3+1/16*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^4*csgn(I*f*x^m)^3+1/16*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^4*csgn(I*f)*csgn(I*f*x^m)^2+1/16*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^4*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/8*I/e^3*Pi*b*d^3*n*csgn(I*f*x^m)^3*x+1/8*I/e^4*b*d^4*n*ln(e*x+d)*Pi*csgn(I*f*x^m)^3-1/24*I/e*Pi*x^3*b*d*n*csgn(I*f*x^m)^3+1/16*I/e^2*Pi*x^2*b*d^2*n*csgn(I*f*x^m)^3+1/32*I*x^4*Pi*b*n*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/8*I*x^4*ln(f)*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/8*I*x^4*Pi*ln(c)*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/32*I*m*Pi*b*x^4*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/8*I*x^4*ln(f)*Pi*b*csgn(I*c*(e*x+d)^n)^3-1/32*I*x^4*Pi*b*n*csgn(I*x^m)*csgn(I*f*x^m)^2+1/8*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^4*ln(x^m)+1/8*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^4*ln(x^m)+1/8*I*x^4*Pi*ln(c)*b*csgn(I*x^m)*csgn(I*f*x^m)^2-1/32*I*m*Pi*b*x^4*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/32*I*m*Pi*b*x^4*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/32*I*x^4*Pi*b*n*csgn(I*f)*csgn(I*f*x^m)^2+1/16*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^4*csgn(I*x^m)*csgn(I*f*x^m)^2-1/8*I*x^4*Pi*a*csgn(I*f*x^m)^3-1/8*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*x^4*ln(x^m)+1/32*I*x^4*Pi*b*n*csgn(I*f*x^m)^3-5/16*b*d^3*m*n*x/e^3+3/32*b*d^2*m*n*x^2/e^2-7/144*b*d*m*n*x^3/e","C"
359,1,2162,175,0.858000," ","int(x^2*ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a),x)","\text{Expression too large to display}"," ",0,"-1/9*b*m*x^3*ln(c)+1/12*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^3*csgn(I*f)*csgn(I*f*x^m)^2+1/12*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^3*csgn(I*x^m)*csgn(I*f*x^m)^2-1/9*n*b*ln(x^m)*x^3+1/3*b*ln(c)*x^3*ln(x^m)-1/9*a*m*x^3+1/6*I*x^3*Pi*ln(c)*b*csgn(I*f)*csgn(I*f*x^m)^2+1/3*a*x^3*ln(x^m)+1/3*x^3*ln(f)*a+1/6*I*x^3*Pi*ln(c)*b*csgn(I*x^m)*csgn(I*f*x^m)^2+1/6*I*x^3*Pi*ln(f)*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/6*I*x^3*Pi*ln(f)*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/6*I*x^3*Pi*a*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/12*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^3*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/12*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^3*csgn(I*f*x^m)^3+1/6*I/e^3*b*d^3*n*ln(e*x+d)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-1/6*I/e^2*Pi*b*d^2*n*csgn(I*f)*csgn(I*f*x^m)^2*x-1/6*I/e^2*Pi*b*d^2*n*csgn(I*x^m)*csgn(I*f*x^m)^2*x+1/3*x^3*ln(c)*ln(f)*b-1/9*x^3*ln(f)*b*n+(1/3*b*x^3*ln(x^m)+1/18*b*x^3*(-3*I*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+3*I*Pi*csgn(I*f)*csgn(I*f*x^m)^2+3*I*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-3*I*Pi*csgn(I*f*x^m)^3+6*ln(f)-2*m))*ln((e*x+d)^n)-1/6*I*x^3*Pi*ln(f)*b*csgn(I*c*(e*x+d)^n)^3+1/12*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^3*csgn(I*f*x^m)^3-1/12*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^3*csgn(I*f)*csgn(I*f*x^m)^2-1/12*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^3*csgn(I*x^m)*csgn(I*f*x^m)^2-1/9*b*d^3*m*n*ln(e*x+d)/e^3-1/3/e^2*ln(f)*b*d^2*n*x+1/6/e*ln(f)*x^2*b*d*n+1/3/e^3*b*d^3*n*ln(e*x+d)*ln(f)+1/12*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^3*csgn(I*f*x^m)^3+1/12*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^3*csgn(I*f)*csgn(I*f*x^m)^2+1/12*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^3*csgn(I*x^m)*csgn(I*f*x^m)^2+1/6*I*x^3*Pi*a*csgn(I*f)*csgn(I*f*x^m)^2+1/6*I*x^3*Pi*a*csgn(I*x^m)*csgn(I*f*x^m)^2-1/6*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*x^3*ln(x^m)-1/12*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^3*csgn(I*f)*csgn(I*f*x^m)^2-1/12*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^3*csgn(I*x^m)*csgn(I*f*x^m)^2+1/12*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^3*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/12*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^3*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/6*I/e^3*b*d^3*n*ln(e*x+d)*Pi*csgn(I*f*x^m)^3-1/12*I/e*Pi*x^2*b*d*n*csgn(I*f*x^m)^3+1/6*I/e^2*Pi*b*d^2*n*csgn(I*f*x^m)^3*x+49/108*b*d^3*m*n/e^3-1/3*m/e^3*b*d^3*n*dilog(-1/d*e*x)-1/6*I*x^3*Pi*a*csgn(I*f*x^m)^3-1/12*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^3*csgn(I*f*x^m)^3-1/3*m/e^3*b*d^3*n*ln(e*x+d)*ln(-1/d*e*x)+1/18*I*m*Pi*b*x^3*csgn(I*c*(e*x+d)^n)^3+1/18*I*x^3*Pi*b*n*csgn(I*f*x^m)^3-1/6*I*x^3*Pi*ln(c)*b*csgn(I*f*x^m)^3+2/27*b*m*n*x^3-1/18*I*x^3*Pi*b*n*csgn(I*x^m)*csgn(I*f*x^m)^2+1/6*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^3*ln(x^m)+1/6*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^3*ln(x^m)-1/6*I*x^3*Pi*ln(f)*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/6*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^3*ln(x^m)+1/18*I*m*Pi*b*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/18*I*x^3*Pi*b*n*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/6*I*x^3*Pi*ln(c)*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/18*I*m*Pi*b*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/18*I*m*Pi*b*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/18*I*x^3*Pi*b*n*csgn(I*f)*csgn(I*f*x^m)^2-1/12*I/e*Pi*x^2*b*d*n*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/6*I/e^3*b*d^3*n*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/12*I/e*Pi*x^2*b*d*n*csgn(I*f)*csgn(I*f*x^m)^2+1/6*I/e^2*Pi*b*d^2*n*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*x+1/12*I/e*Pi*x^2*b*d*n*csgn(I*x^m)*csgn(I*f*x^m)^2-1/12*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^3*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/6*I/e^3*b*d^3*n*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*f*x^m)^2+1/6/e*n*b*ln(x^m)*x^2*d-1/3/e^2*n*b*ln(x^m)*x*d^2+1/3/e^3*n*b*ln(x^m)*d^3*ln(e*x+d)+4/9*b*d^2*m*n*x/e^2-5/36*b*d*m*n*x^2/e","C"
360,1,1994,142,0.845000," ","int(x*ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a),x)","\text{Expression too large to display}"," ",0,"1/4*I/e^2*b*d^2*n*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/2*a*x^2*ln(x^m)-1/4*x^2*ln(f)*b*n+1/2*x^2*ln(f)*a-1/4*a*m*x^2+1/2*x^2*ln(f)*ln(c)*b+1/4*I*x^2*Pi*a*csgn(I*f)*csgn(I*f*x^m)^2+1/4*I*x^2*Pi*a*csgn(I*x^m)*csgn(I*f*x^m)^2-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*x^2*ln(x^m)-1/4*b*m*x^2*ln(c)+(1/2*b*x^2*ln(x^m)+1/4*b*x^2*(-I*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+I*Pi*csgn(I*f)*csgn(I*f*x^m)^2+I*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-I*Pi*csgn(I*f*x^m)^3+2*ln(f)-m))*ln((e*x+d)^n)-1/4*n*b*ln(x^m)*x^2+1/2*b*ln(c)*x^2*ln(x^m)-1/4*I/e^2*b*d^2*n*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*f*x^m)^2+1/8*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^2*csgn(I*x^m)*csgn(I*f*x^m)^2-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^2*ln(x^m)+1/8*I*x^2*Pi*b*n*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/4*b*d^2*m*n*ln(e*x+d)/e^2+1/2/e*n*b*ln(x^m)*x*d-1/2/e^2*n*b*ln(x^m)*d^2*ln(e*x+d)+1/8*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^2*csgn(I*f*x^m)^3+1/8*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^2*csgn(I*f*x^m)^3-1/8*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^2*csgn(I*x^m)*csgn(I*f*x^m)^2-1/8*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^2*csgn(I*f*x^m)^3+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^2*ln(x^m)+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^2*ln(x^m)+1/8*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^2*csgn(I*f)*csgn(I*f*x^m)^2+1/8*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^2*csgn(I*x^m)*csgn(I*f*x^m)^2+1/8*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^2*csgn(I*f)*csgn(I*f*x^m)^2+1/8*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^2*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/8*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^2*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/4*I/e*Pi*b*d*n*csgn(I*f*x^m)^3*x+1/4*I/e^2*b*d^2*n*ln(e*x+d)*Pi*csgn(I*f*x^m)^3+1/8*I*m*Pi*b*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/8*I*m*Pi*b*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/8*I*m*Pi*b*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/8*I*x^2*Pi*b*n*csgn(I*f)*csgn(I*f*x^m)^2-1/8*I*x^2*Pi*b*n*csgn(I*x^m)*csgn(I*f*x^m)^2+1/2*m/e^2*b*d^2*n*dilog(-1/d*e*x)+1/2*m/e^2*b*d^2*n*ln(e*x+d)*ln(-1/d*e*x)-1/8*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^2*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/4*I/e^2*b*d^2*n*ln(e*x+d)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+1/4*I/e*Pi*b*d*n*csgn(I*f)*csgn(I*f*x^m)^2*x-5/8*b*d^2*m*n/e^2-3/4*b*d*m*n*x/e+1/2/e*ln(f)*b*d*n*x-1/2/e^2*b*d^2*n*ln(e*x+d)*ln(f)-1/4*I*x^2*Pi*a*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/4*I*x^2*ln(f)*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/4*b*m*n*x^2+1/8*I*m*Pi*b*x^2*csgn(I*c*(e*x+d)^n)^3-1/4*I*x^2*ln(f)*Pi*b*csgn(I*c*(e*x+d)^n)^3-1/4*I*x^2*Pi*ln(c)*b*csgn(I*f*x^m)^3+1/8*I*x^2*Pi*b*n*csgn(I*f*x^m)^3+1/4*I*x^2*ln(f)*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/4*I*x^2*Pi*ln(c)*b*csgn(I*f)*csgn(I*f*x^m)^2-1/8*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^2*csgn(I*f)*csgn(I*f*x^m)^2-1/8*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^2*csgn(I*x^m)*csgn(I*f*x^m)^2-1/8*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^2*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/4*I*x^2*ln(f)*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/4*I*x^2*Pi*ln(c)*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/4*I*x^2*Pi*ln(c)*b*csgn(I*x^m)*csgn(I*f*x^m)^2-1/8*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^2*csgn(I*f)*csgn(I*f*x^m)^2-1/4*I/e*Pi*b*d*n*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*x+1/4*I/e*Pi*b*d*n*csgn(I*x^m)*csgn(I*f*x^m)^2*x-1/8*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^2*csgn(I*f*x^m)^3-1/4*I*x^2*Pi*a*csgn(I*f*x^m)^3","C"
361,1,1724,99,0.752000," ","int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a),x)","a x \ln \left(f \right)-b m x \ln \left(c \right)-\frac{\pi^{2} b x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{4}-\frac{i \pi  a x \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{2}+a x \ln \left(x^{m}\right)+2 b m n x -a m x -b n x \ln \left(f \right)+b x \ln \left(c \right) \ln \left(f \right)-b n x \ln \left(x^{m}\right)+b x \ln \left(c \right) \ln \left(x^{m}\right)-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(f \right)}{2}+\frac{i \pi  b d n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2} \ln \left(e x +d \right)}{2 e}+\frac{i \pi  b d n \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2} \ln \left(e x +d \right)}{2 e}+\frac{b d m n}{e}-\frac{i \pi  b d n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right) \ln \left(e x +d \right)}{2 e}+\left(b x \ln \left(x^{m}\right)+\frac{\left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-i \pi  \mathrm{csgn}\left(i f \,x^{m}\right)^{3}-2 m +2 \ln \left(f \right)\right) b x}{2}\right) \ln \left(\left(e x +d \right)^{n}\right)-\frac{i \pi  b m x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}-\frac{i \pi  b n x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{2}-\frac{i \pi  b n x \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(f \right)}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x^{m}\right)}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2} \ln \left(c \right)}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2} \ln \left(c \right)}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(f \right)}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x^{m}\right)}{2}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x^{m}\right)}{2}-\frac{b d m n \ln \left(e x +d \right)}{e}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)}{4}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)}{4}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{4}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{4}+\frac{i \pi  b m x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2}+\frac{i \pi  b n x \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{2}-\frac{i \pi  b x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(f \right)}{2}-\frac{i \pi  b x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x^{m}\right)}{2}-\frac{i \pi  b x \mathrm{csgn}\left(i f \,x^{m}\right)^{3} \ln \left(c \right)}{2}+\frac{i \pi  a x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{2}+\frac{i \pi  a x \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{2}+\frac{b d n \ln \left(f \right) \ln \left(e x +d \right)}{e}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i f \,x^{m}\right)}{4}+\frac{b d n \ln \left(x^{m}\right) \ln \left(e x +d \right)}{e}-\frac{i \pi  a x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)}{2}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{4}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{m}\right)}{4}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4}-\frac{i \pi  b m x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2}+\frac{i \pi  b n x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)}{2}-\frac{i \pi  b x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right) \ln \left(c \right)}{2}-\frac{b d m n \dilog \left(-\frac{e x}{d}\right)}{e}-\frac{i \pi  b d n \mathrm{csgn}\left(i f \,x^{m}\right)^{3} \ln \left(e x +d \right)}{2 e}+\frac{i \pi  b m x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2}-\frac{b d m n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e}"," ",0,"-1/2*I*b*d*n/e*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+a*x*ln(f)-b*m*x*ln(c)+ln(x^m)*x*a+(b*x*ln(x^m)+1/2*b*(-I*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+I*Pi*csgn(I*f)*csgn(I*f*x^m)^2+I*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-I*Pi*csgn(I*f*x^m)^3+2*ln(f)-2*m)*x)*ln((e*x+d)^n)+2*b*m*n*x-a*m*x-1/4*Pi^2*x*b*csgn(I*f)*csgn(I*f*x^m)^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-n*ln(f)*b*x+ln(f)*ln(c)*b*x-n*b*ln(x^m)*x+ln(c)*ln(x^m)*x*b+b*d*m*n/e+1/4*Pi^2*x*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/4*Pi^2*x*b*csgn(I*f)*csgn(I*f*x^m)^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/4*Pi^2*x*b*csgn(I*x^m)*csgn(I*f*x^m)^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/4*Pi^2*x*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*csgn(I*c*(e*x+d)^n)^3-1/2*I*Pi*a*x*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/2*I*ln(f)*Pi*b*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*Pi*a*x*csgn(I*f*x^m)^3-1/4*Pi^2*x*b*csgn(I*x^m)*csgn(I*f*x^m)^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/4*Pi^2*x*b*csgn(I*f)*csgn(I*f*x^m)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/4*Pi^2*x*b*csgn(I*x^m)*csgn(I*f*x^m)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*Pi*ln(x^m)*x*b*csgn(I*c*(e*x+d)^n)^3-1/2*I*ln(f)*Pi*b*x*csgn(I*c*(e*x+d)^n)^3-1/2*I*Pi*ln(c)*b*x*csgn(I*f*x^m)^3+1/2*I*b*d*n/e*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*f*x^m)^2+1/2*I*b*d*n/e*ln(e*x+d)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+1/2*I*n*Pi*b*x*csgn(I*f*x^m)^3+1/4*Pi^2*x*b*csgn(I*f)*csgn(I*f*x^m)^2*csgn(I*c*(e*x+d)^n)^3+1/4*Pi^2*x*b*csgn(I*x^m)*csgn(I*f*x^m)^2*csgn(I*c*(e*x+d)^n)^3+1/4*Pi^2*x*b*csgn(I*f*x^m)^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-b*d*m*n*ln(e*x+d)/e-1/4*Pi^2*x*b*csgn(I*f*x^m)^3*csgn(I*c*(e*x+d)^n)^3-1/4*Pi^2*x*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*Pi*ln(c)*b*x*csgn(I*f)*csgn(I*f*x^m)^2+b*d*n/e*ln(e*x+d)*ln(f)+1/2*I*Pi*ln(c)*b*x*csgn(I*x^m)*csgn(I*f*x^m)^2+1/2*I*Pi*ln(x^m)*x*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*Pi*ln(x^m)*x*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/4*Pi^2*x*b*csgn(I*f*x^m)^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/4*Pi^2*x*b*csgn(I*f*x^m)^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I*m*Pi*b*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I*Pi*ln(x^m)*x*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/e*n*b*ln(x^m)*d*ln(e*x+d)+1/2*I*ln(f)*Pi*b*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I*n*Pi*b*x*csgn(I*f)*csgn(I*f*x^m)^2-1/2*I*n*Pi*b*x*csgn(I*x^m)*csgn(I*f*x^m)^2-1/2*I*m*Pi*b*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I*m*Pi*b*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*b*d*n/e*ln(e*x+d)*Pi*csgn(I*f*x^m)^3+1/2*I*Pi*a*x*csgn(I*f)*csgn(I*f*x^m)^2+1/2*I*Pi*a*x*csgn(I*x^m)*csgn(I*f*x^m)^2+1/2*I*m*Pi*b*x*csgn(I*c*(e*x+d)^n)^3+1/4*Pi^2*x*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I*Pi*ln(c)*b*x*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/2*I*n*Pi*b*x*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/2*I*ln(f)*Pi*b*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-m*b*d*n/e*ln(e*x+d)*ln(-1/d*e*x)-m*b*d*n/e*dilog(-1/d*e*x)","C"
362,1,1749,84,0.575000," ","int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)/x,x)","\text{Expression too large to display}"," ",0,"1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*ln(f)*ln(x)+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/m*ln(x^m)^2+1/2*a/m*ln(x^m)^2+a*ln(f)*ln(x)-n*b*dilog((e*x+d)/d)*ln(x^m)+1/2*b*ln(c)/m*ln(x^m)^2-1/4*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*csgn(I*f)*csgn(I*f*x^m)^2*ln(x)-1/4*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*csgn(I*x^m)*csgn(I*f*x^m)^2*ln(x)+b*ln(c)*ln(f)*ln(x)-n*b*dilog((e*x+d)/d)*ln(f)+1/2*I*n*b*ln(x)*ln((e*x+d)/d)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+(b*ln(x)*ln(x^m)-1/2*b*m*ln(x)^2-1/2*I*ln(x)*Pi*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/2*I*ln(x)*Pi*b*csgn(I*f)*csgn(I*f*x^m)^2+1/2*I*ln(x)*Pi*b*csgn(I*x^m)*csgn(I*f*x^m)^2-1/2*I*ln(x)*Pi*b*csgn(I*f*x^m)^3+ln(x)*ln(f)*b)*ln((e*x+d)^n)+1/2*I*b*ln(c)*Pi*csgn(I*f)*csgn(I*f*x^m)^2*ln(x)-1/4*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*csgn(I*x^m)*csgn(I*f*x^m)^2*ln(x)-1/4*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*ln(x)-1/4*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*csgn(I*f*x^m)^3*ln(x)+1/4*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*csgn(I*x^m)*csgn(I*f*x^m)^2*ln(x)-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*ln(f)*ln(x)-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/m*ln(x^m)^2-1/2*I*b*ln(c)*Pi*csgn(I*f*x^m)^3*ln(x)-n*b*ln(x)*ln((e*x+d)/d)*ln(x^m)-1/4*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*csgn(I*f*x^m)^3*ln(x)-1/2*I*a*Pi*csgn(I*f*x^m)^3*ln(x)+b*m*n*polylog(3,-1/d*e*x)-1/4*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*ln(x)+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*ln(f)*ln(x)+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/m*ln(x^m)^2+1/4*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*csgn(I*f)*csgn(I*f*x^m)^2*ln(x)+1/4*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*csgn(I*x^m)*csgn(I*f*x^m)^2*ln(x)+1/4*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*ln(x)-1/2*n*b*m*ln(x)^2*ln(1/d*e*x+1)+1/2*I*a*Pi*csgn(I*f)*csgn(I*f*x^m)^2*ln(x)+1/2*I*a*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2*ln(x)+1/2*I*n*b*dilog((e*x+d)/d)*Pi*csgn(I*f*x^m)^3+n*b*ln(x)^2*ln((e*x+d)/d)*m-n*b*m*ln(x)*polylog(2,-1/d*e*x)+n*b*dilog((e*x+d)/d)*ln(x)*m-n*b*ln(x)*ln((e*x+d)/d)*ln(f)+1/2*I*b*ln(c)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2*ln(x)-1/2*I*a*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*ln(x)+1/4*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*ln(x)-1/2*I*n*b*ln(x)*ln((e*x+d)/d)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+1/2*I*n*b*dilog((e*x+d)/d)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/2*I*n*b*ln(x)*ln((e*x+d)/d)*Pi*csgn(I*f)*csgn(I*f*x^m)^2-1/2*I*b*ln(c)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*ln(x)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*ln(f)*ln(x)-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/m*ln(x^m)^2+1/2*I*n*b*ln(x)*ln((e*x+d)/d)*Pi*csgn(I*f*x^m)^3-1/2*I*n*b*dilog((e*x+d)/d)*Pi*csgn(I*f)*csgn(I*f*x^m)^2-1/4*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*csgn(I*f)*csgn(I*f*x^m)^2*ln(x)-1/2*I*n*b*dilog((e*x+d)/d)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+1/4*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*csgn(I*f*x^m)^3*ln(x)+1/4*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*csgn(I*f*x^m)^3*ln(x)+1/4*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*csgn(I*f)*csgn(I*f*x^m)^2*ln(x)","C"
363,1,1859,102,0.714000," ","int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)/x^2,x)","\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(f \right)}{2 x}-\frac{a m}{x}-\frac{a \ln \left(f \right)}{x}-\frac{a \ln \left(x^{m}\right)}{x}-\frac{b \ln \left(c \right) \ln \left(x^{m}\right)}{x}-\frac{b \ln \left(c \right) \ln \left(f \right)}{x}-\frac{b m \ln \left(c \right)}{x}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 x}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 x}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{4 x}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{m}\right)}{4 x}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 x}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 x}-\frac{i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 x}-\frac{i \pi  b m \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(f \right)}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x^{m}\right)}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2} \ln \left(c \right)}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2} \ln \left(c \right)}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(f \right)}{2 x}+\left(-\frac{b \ln \left(x^{m}\right)}{x}-\frac{-i \pi  b \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)+i \pi  b \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-i \pi  b \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 b m +2 b \ln \left(f \right)}{2 x}\right) \ln \left(\left(e x +d \right)^{n}\right)-\frac{i \pi  b e n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right) \ln \left(x \right)}{2 d}+\frac{i \pi  b e n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right) \ln \left(e x +d \right)}{2 d}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i f \,x^{m}\right)}{4 x}+\frac{b e m n \ln \left(x \right)}{d}-\frac{b e m n \ln \left(e x +d \right)}{d}-\frac{b e n \ln \left(f \right) \ln \left(e x +d \right)}{d}+\frac{b e n \ln \left(f \right) \ln \left(x \right)}{d}+\frac{\pi^{2} b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{4 x}+\frac{i \pi  a \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x^{m}\right)}{2 x}+\frac{i \pi  a \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)}{2 x}-\frac{i \pi  b e n \mathrm{csgn}\left(i f \,x^{m}\right)^{3} \ln \left(x \right)}{2 d}+\frac{i \pi  b e n \mathrm{csgn}\left(i f \,x^{m}\right)^{3} \ln \left(e x +d \right)}{2 d}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)}{4 x}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 x}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 x}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)}{4 x}+\frac{i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x^{m}\right)}{2 x}+\frac{i \pi  b \mathrm{csgn}\left(i f \,x^{m}\right)^{3} \ln \left(c \right)}{2 x}-\frac{i \pi  a \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{2 x}-\frac{i \pi  a \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{2 x}+\frac{i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 x}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(f \right)}{2 x}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x^{m}\right)}{2 x}+\frac{i \pi  b \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right) \ln \left(c \right)}{2 x}+\frac{b e m n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d}+\frac{i \pi  b e n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  b e n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2} \ln \left(e x +d \right)}{2 d}+\frac{i \pi  b e n \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  b e n \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2} \ln \left(e x +d \right)}{2 d}+\frac{b e m n \dilog \left(-\frac{e x}{d}\right)}{d}+\frac{b e n \ln \left(x \right) \ln \left(x^{m}\right)}{d}-\frac{b e n \ln \left(x^{m}\right) \ln \left(e x +d \right)}{d}-\frac{b e m n \ln \left(x \right)^{2}}{2 d}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{4 x}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 x}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{m}\right)^{2}}{4 x}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{m}\right)^{3}}{4 x}+\frac{i \pi  b m \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 x}"," ",0,"1/2*I/x*Pi*a*csgn(I*f*x^m)^3+1/2*I/x*ln(f)*Pi*b*csgn(I*c*(e*x+d)^n)^3+1/2*I/x*Pi*ln(c)*b*csgn(I*f*x^m)^3+1/2*I/x*Pi*b*m*csgn(I*c*(e*x+d)^n)^3-1/2*I/x*Pi*a*csgn(I*f)*csgn(I*f*x^m)^2-1/2*I/x*Pi*a*csgn(I*x^m)*csgn(I*f*x^m)^2+1/4*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/2*I*e*b*n/d*ln(x)*Pi*csgn(I*f)*csgn(I*f*x^m)^2+1/2*I*e*b*n/d*ln(x)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-1/x*a*m-1/x*ln(f)*a-a/x*ln(x^m)-b*ln(c)/x*ln(x^m)+1/2*I/x*Pi*a*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/2*I*e*b*n/d*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/x*ln(f)*ln(c)*b-1/x*ln(c)*b*m-1/2*I*e*b*n/d*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*f*x^m)^2-1/2*I*e*b*n/d*ln(e*x+d)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+1/4*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x*csgn(I*f*x^m)^3+1/4*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x*csgn(I*f)*csgn(I*f*x^m)^2+(-b/x*ln(x^m)-1/2*(-I*Pi*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+I*Pi*b*csgn(I*f)*csgn(I*f*x^m)^2+I*Pi*b*csgn(I*x^m)*csgn(I*f*x^m)^2-I*Pi*b*csgn(I*f*x^m)^3+2*b*ln(f)+2*b*m)/x)*ln((e*x+d)^n)+1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x*ln(x^m)-1/4*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x*csgn(I*x^m)*csgn(I*f*x^m)^2-1/4*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/4*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/4*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x*csgn(I*f)*csgn(I*f*x^m)^2+b*e*m*n*ln(x)/d-b*e*m*n*ln(e*x+d)/d-1/2*I/x*ln(f)*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I/x*ln(f)*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I/x*Pi*ln(c)*b*csgn(I*f)*csgn(I*f*x^m)^2-e*b*n/d*ln(e*x+d)*ln(f)+e*b*n/d*ln(x)*ln(f)-1/2*I/x*Pi*b*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x*ln(x^m)-1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x*ln(x^m)+1/4*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x*csgn(I*x^m)*csgn(I*f*x^m)^2+1/4*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x*csgn(I*f)*csgn(I*f*x^m)^2+1/2*I/x*Pi*b*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I*e*b*n/d*ln(x)*Pi*csgn(I*f*x^m)^3+1/2*I*e*b*n/d*ln(e*x+d)*Pi*csgn(I*f*x^m)^3-1/4*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x*csgn(I*f*x^m)^3-1/4*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x*csgn(I*f*x^m)^3-1/4*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x*csgn(I*f)*csgn(I*f*x^m)^2-1/4*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x*csgn(I*x^m)*csgn(I*f*x^m)^2+1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/x*ln(x^m)+1/4*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x*csgn(I*f*x^m)^3-1/2*I*e*b*n/d*ln(x)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/2*I/x*Pi*ln(c)*b*csgn(I*x^m)*csgn(I*f*x^m)^2-1/2*I/x*Pi*b*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/4*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x*csgn(I*x^m)*csgn(I*f*x^m)^2+1/4*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/2*I/x*Pi*ln(c)*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+m*b*e*n/d*ln(e*x+d)*ln(-1/d*e*x)+m*b*e*n/d*dilog(-1/d*e*x)+1/2*I/x*ln(f)*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+e*n*b*ln(x^m)/d*ln(x)-e*n*b*ln(x^m)/d*ln(e*x+d)-1/2/d*b*e*m*n*ln(x)^2","C"
364,1,2051,142,0.767000," ","int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)/x^3,x)","\text{Expression too large to display}"," ",0,"-1/4/x^2*a*m+1/8*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^2*csgn(I*x^m)*csgn(I*f*x^m)^2-1/4*I/d^2*b*e^2*n*ln(e*x+d)*Pi*csgn(I*f*x^m)^3-1/4*I/d^2*b*e^2*n*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/2/x^2*ln(f)*a-1/2*m*b*e^2*n/d^2*ln(e*x+d)*ln(-1/d*e*x)+1/4/d^2*b*e^2*m*n*ln(x)^2-1/2*a/x^2*ln(x^m)+(-1/2*b/x^2*ln(x^m)-1/4*(-I*Pi*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+I*Pi*b*csgn(I*f)*csgn(I*f*x^m)^2+I*Pi*b*csgn(I*x^m)*csgn(I*f*x^m)^2-I*Pi*b*csgn(I*f*x^m)^3+2*b*ln(f)+b*m)/x^2)*ln((e*x+d)^n)-1/2/x^2*ln(f)*ln(c)*b-1/4/x^2*ln(c)*b*m+1/8*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x^2*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/8*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^2*csgn(I*f*x^m)^3-1/2/d*e*b*n/x*ln(f)+1/2/d^2*b*e^2*n*ln(e*x+d)*ln(f)-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^2*ln(x^m)-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^2*ln(x^m)-1/4*I/x^2*ln(f)*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/4*I/x^2*ln(f)*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/4*I/d^2*b*e^2*n*ln(x)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/4*b*e^2*m*n*ln(x)/d^2+1/4*b*e^2*m*n*ln(e*x+d)/d^2-1/2*m*b*e^2*n/d^2*dilog(-1/d*e*x)+1/4*I/d*e*b*n/x*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/4*I/x^2*ln(f)*Pi*b*csgn(I*c*(e*x+d)^n)^3+1/8*I/x^2*Pi*b*m*csgn(I*c*(e*x+d)^n)^3+1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/x^2*ln(x^m)-1/4*I/x^2*Pi*a*csgn(I*f)*csgn(I*f*x^m)^2-1/4*I/x^2*Pi*a*csgn(I*x^m)*csgn(I*f*x^m)^2+1/4*I/x^2*Pi*ln(c)*b*csgn(I*f*x^m)^3-1/8*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^2*csgn(I*f*x^m)^3-1/8*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^2*csgn(I*f*x^m)^3-1/8*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x^2*csgn(I*f)*csgn(I*f*x^m)^2-1/8*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x^2*csgn(I*x^m)*csgn(I*f*x^m)^2-1/4*I/x^2*Pi*ln(c)*b*csgn(I*f)*csgn(I*f*x^m)^2-1/2/d^2*b*e^2*n*ln(x)*ln(f)-1/2*e^2*n*b*ln(x^m)/d^2*ln(x)+1/2*e^2*n*b*ln(x^m)/d^2*ln(e*x+d)-1/2*e*n*b*ln(x^m)/d/x+1/8*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^2*csgn(I*f)*csgn(I*f*x^m)^2+1/8*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^2*csgn(I*x^m)*csgn(I*f*x^m)^2+1/8*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^2*csgn(I*f)*csgn(I*f*x^m)^2-3/4*b*e*m*n/d/x+1/4*I/d*e*b*n/x*Pi*csgn(I*f*x^m)^3+1/4*I/x^2*ln(f)*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/8*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x^2*csgn(I*f*x^m)^3+1/4*I/x^2*Pi*a*csgn(I*f*x^m)^3-1/4*I/d^2*b*e^2*n*ln(x)*Pi*csgn(I*f)*csgn(I*f*x^m)^2+1/8*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^2*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/4*I/d*e*b*n/x*Pi*csgn(I*f)*csgn(I*f*x^m)^2-1/4*I/d*e*b*n/x*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+1/4*I/d^2*b*e^2*n*ln(e*x+d)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-1/4*I/d^2*b*e^2*n*ln(x)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+1/4*I/d^2*b*e^2*n*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*f*x^m)^2-1/8*I/x^2*Pi*b*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/4*I/x^2*Pi*a*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/8*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^2*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^2*ln(x^m)-1/8*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^2*csgn(I*f)*csgn(I*f*x^m)^2+1/4*I/x^2*Pi*ln(c)*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/8*I/x^2*Pi*b*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/4*I/d^2*b*e^2*n*ln(x)*Pi*csgn(I*f*x^m)^3-1/8*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^2*csgn(I*x^m)*csgn(I*f*x^m)^2-1/8*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^2*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/4*I/x^2*Pi*ln(c)*b*csgn(I*x^m)*csgn(I*f*x^m)^2-1/8*I/x^2*Pi*b*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*b*ln(c)/x^2*ln(x^m)","C"
365,1,2220,175,0.895000," ","int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)/x^4,x)","\text{Expression too large to display}"," ",0,"1/12*I/d*e*b*n/x^2*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/9/x^3*a*m-1/6*I/d^3*b*e^3*n*ln(x)*Pi*csgn(I*f*x^m)^3+1/12*I/d*e*b*n/x^2*Pi*csgn(I*f*x^m)^3+1/6*I/d^3*b*e^3*n*ln(e*x+d)*Pi*csgn(I*f*x^m)^3+1/6*I/x^3*ln(f)*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/12*I/d*e*b*n/x^2*Pi*csgn(I*f)*csgn(I*f*x^m)^2-1/3*a/x^3*ln(x^m)+1/3*m*b*e^3*n/d^3*ln(e*x+d)*ln(-1/d*e*x)-1/6/d^3*b*e^3*m*n*ln(x)^2-1/3/x^3*ln(f)*a-1/6*I/d^3*b*e^3*n*ln(e*x+d)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+1/6*I/d^3*b*e^3*n*ln(x)*Pi*csgn(I*f)*csgn(I*f*x^m)^2+1/6*I/d^3*b*e^3*n*ln(x)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-1/3*b*ln(c)/x^3*ln(x^m)+1/3/d^2*b*e^2*n/x*ln(f)-1/6/d*e*b*n/x^2*ln(f)-1/3/d^3*b*e^3*n*ln(e*x+d)*ln(f)+1/3/d^3*b*e^3*n*ln(x)*ln(f)+1/6*I/x^3*ln(f)*Pi*b*csgn(I*c*(e*x+d)^n)^3+1/6*I/x^3*Pi*ln(c)*b*csgn(I*f*x^m)^3+1/12*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^3*csgn(I*x^m)*csgn(I*f*x^m)^2+1/12*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x^3*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/18*I/x^3*Pi*b*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/9*b*e^3*m*n*ln(x)/d^3-1/9*b*e^3*m*n*ln(e*x+d)/d^3-1/12*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^3*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/12*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^3*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/12*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^3*csgn(I*f)*csgn(I*f*x^m)^2-1/12*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^3*csgn(I*x^m)*csgn(I*f*x^m)^2-1/6*I/d^2*b*e^2*n/x*Pi*csgn(I*f*x^m)^3+1/12*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^3*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/12*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x^3*csgn(I*f*x^m)^3+1/3*m*b*e^3*n/d^3*dilog(-1/d*e*x)+(-1/3*b/x^3*ln(x^m)-1/18*(-3*I*Pi*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+3*I*Pi*b*csgn(I*f)*csgn(I*f*x^m)^2+3*I*Pi*b*csgn(I*x^m)*csgn(I*f*x^m)^2-3*I*Pi*b*csgn(I*f*x^m)^3+6*b*ln(f)+2*b*m)/x^3)*ln((e*x+d)^n)-1/6*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^3*ln(x^m)-1/6*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^3*ln(x^m)-1/6*I/x^3*Pi*ln(c)*b*csgn(I*x^m)*csgn(I*f*x^m)^2-5/36*b*e*m*n/d/x^2+4/9*b*e^2*m*n/d^2/x+1/6*I/d^3*b*e^3*n*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/6*I/d^3*b*e^3*n*ln(x)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/6*I/d^2*b*e^2*n/x*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/6*I/d^2*b*e^2*n/x*Pi*csgn(I*f)*csgn(I*f*x^m)^2+1/6*I/d^2*b*e^2*n/x*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-1/12*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^3*csgn(I*f*x^m)^3-1/12*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x^3*csgn(I*f)*csgn(I*f*x^m)^2-1/12*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x^3*csgn(I*x^m)*csgn(I*f*x^m)^2-1/6*I/d^3*b*e^3*n*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*f*x^m)^2+1/6*I/x^3*Pi*ln(c)*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/18*I/x^3*Pi*b*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/18*I/x^3*Pi*b*m*csgn(I*c*(e*x+d)^n)^3-1/6*I/x^3*Pi*a*csgn(I*f)*csgn(I*f*x^m)^2-1/6*I/x^3*Pi*a*csgn(I*x^m)*csgn(I*f*x^m)^2+1/6*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/x^3*ln(x^m)-1/12*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^3*csgn(I*f*x^m)^3+1/6*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^3*ln(x^m)-1/18*I/x^3*Pi*b*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/6*I/x^3*Pi*a*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/6*I/x^3*ln(f)*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/12*I/d*e*b*n/x^2*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-1/6*I/x^3*ln(f)*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/6*I/x^3*Pi*ln(c)*b*csgn(I*f)*csgn(I*f*x^m)^2+1/12*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^3*csgn(I*f)*csgn(I*f*x^m)^2+1/12*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^3*csgn(I*x^m)*csgn(I*f*x^m)^2+1/12*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^3*csgn(I*f)*csgn(I*f*x^m)^2-1/6*e*n*b*ln(x^m)/d/x^2+1/3*e^3*n*b*ln(x^m)/d^3*ln(x)+1/3*e^2*n*b*ln(x^m)/d^2/x-1/3*e^3*n*b*ln(x^m)/d^3*ln(e*x+d)+1/6*I/x^3*Pi*a*csgn(I*f*x^m)^3+1/12*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^3*csgn(I*f*x^m)^3-1/9/x^3*ln(c)*b*m-1/3/x^3*ln(f)*ln(c)*b","C"
366,1,2387,208,0.943000," ","int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)/x^5,x)","\text{Expression too large to display}"," ",0,"1/8*I/d^3*b*e^3*n/x*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/16*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^4*csgn(I*x^m)*csgn(I*f*x^m)^2+1/16*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x^4*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/16*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^4*csgn(I*f)*csgn(I*f*x^m)^2+1/16*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^4*csgn(I*x^m)*csgn(I*f*x^m)^2-1/4/x^4*ln(f)*a-1/4*a/x^4*ln(x^m)-1/16/x^4*a*m-1/8*I/x^4*Pi*ln(c)*b*csgn(I*x^m)*csgn(I*f*x^m)^2-1/32*I/x^4*Pi*b*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/8*I/x^4*ln(f)*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/8*I/x^4*Pi*ln(c)*b*csgn(I*f)*csgn(I*f*x^m)^2-1/4*e^3*n*b*ln(x^m)/d^3/x+1/8*e^2*n*b*ln(x^m)/d^2/x^2-1/4*e^4*n*b*ln(x^m)/d^4*ln(x)+1/4*e^4*n*b*ln(x^m)/d^4*ln(e*x+d)-1/4/x^4*ln(f)*ln(c)*b-1/16/x^4*ln(c)*b*m-1/12*e*n*b*ln(x^m)/d/x^3-1/16*b*e^4*m*n*ln(x)/d^4+1/16*b*e^4*m*n*ln(e*x+d)/d^4+1/8*I/d^4*e^4*b*n*ln(x)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/16*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^4*csgn(I*f*x^m)^3-1/16*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^4*csgn(I*f*x^m)^3-1/16*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x^4*csgn(I*f)*csgn(I*f*x^m)^2-1/16*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x^4*csgn(I*x^m)*csgn(I*f*x^m)^2+1/8*I/x^4*ln(f)*Pi*b*csgn(I*c*(e*x+d)^n)^3+1/16*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^4*csgn(I*f)*csgn(I*f*x^m)^2+(-1/4*b/x^4*ln(x^m)-1/16*(-2*I*Pi*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+2*I*Pi*b*csgn(I*f)*csgn(I*f*x^m)^2+2*I*Pi*b*csgn(I*x^m)*csgn(I*f*x^m)^2-2*I*Pi*b*csgn(I*f*x^m)^3+4*b*ln(f)+b*m)/x^4)*ln((e*x+d)^n)+1/8/d^4*n*e^4*b*m*ln(x)^2-1/24*I/d*e*b*n/x^3*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-1/8*I/d^4*e^4*b*n*ln(x)*Pi*csgn(I*f)*csgn(I*f*x^m)^2-1/8*I/d^4*e^4*b*n*ln(x)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-1/4*m*e^4*b*n/d^4*ln(e*x+d)*ln(-1/d*e*x)-1/8*I/d^3*b*e^3*n/x*Pi*csgn(I*f)*csgn(I*f*x^m)^2+1/8*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^4*ln(x^m)+1/16*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^4*csgn(I*f*x^m)^3-1/8*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^4*ln(x^m)-1/8*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^4*ln(x^m)-7/144*b*e*m*n/d/x^3+3/32*b*e^2*m*n/d^2/x^2-5/16*b*e^3*m*n/d^3/x-1/4*m*e^4*b*n/d^4*dilog(-1/d*e*x)-1/16*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^4*csgn(I*x^m)*csgn(I*f*x^m)^2-1/8*I/d^4*e^4*b*n*ln(e*x+d)*Pi*csgn(I*f*x^m)^3-1/16*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^4*csgn(I*f)*csgn(I*f*x^m)^2-1/8*I/d^3*b*e^3*n/x*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-1/24*I/d*e*b*n/x^3*Pi*csgn(I*f)*csgn(I*f*x^m)^2+1/8*I/d^4*e^4*b*n*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*f*x^m)^2+1/8*I/d^4*e^4*b*n*ln(e*x+d)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+1/8/d^2*b*e^2*n/x^2*ln(f)-1/12/d*e*b*n/x^3*ln(f)-1/4/d^3*b*e^3*n/x*ln(f)+1/4/d^4*e^4*b*n*ln(e*x+d)*ln(f)-1/4/d^4*e^4*b*n*ln(x)*ln(f)+1/16*I/d^2*b*e^2*n/x^2*Pi*csgn(I*f)*csgn(I*f*x^m)^2+1/16*I/d^2*b*e^2*n/x^2*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+1/8*I/x^4*Pi*a*csgn(I*f*x^m)^3+1/16*b*Pi^2*csgn(I*c*(e*x+d)^n)^3/x^4*csgn(I*f*x^m)^3+1/8*I/x^4*ln(f)*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/8*I/x^4*Pi*ln(c)*b*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/32*I/x^4*Pi*b*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/8*I/d^4*e^4*b*n*ln(e*x+d)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/16*I/d^2*b*e^2*n/x^2*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/24*I/d*e*b*n/x^3*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/8*I/d^3*b*e^3*n/x*Pi*csgn(I*f*x^m)^3-1/16*I/d^2*b*e^2*n/x^2*Pi*csgn(I*f*x^m)^3+1/24*I/d*e*b*n/x^3*Pi*csgn(I*f*x^m)^3+1/8*I/d^4*e^4*b*n*ln(x)*Pi*csgn(I*f*x^m)^3-1/32*I/x^4*Pi*b*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/8*I/x^4*Pi*a*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/8*I/x^4*ln(f)*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/16*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2/x^4*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/4*b*ln(c)/x^4*ln(x^m)+1/8*I/x^4*Pi*ln(c)*b*csgn(I*f*x^m)^3+1/32*I/x^4*Pi*b*m*csgn(I*c*(e*x+d)^n)^3-1/8*I/x^4*Pi*a*csgn(I*f)*csgn(I*f*x^m)^2-1/8*I/x^4*Pi*a*csgn(I*x^m)*csgn(I*f*x^m)^2+1/8*I*b*Pi*csgn(I*c*(e*x+d)^n)^3/x^4*ln(x^m)-1/16*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2/x^4*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/16*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)/x^4*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)","C"
367,0,0,651,1.878000," ","int(x^2*ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} x^{2} \ln \left(f \,x^{m}\right)\, dx"," ",0,"int(x^2*ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
368,0,0,574,4.076000," ","int(x*ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} x \ln \left(f \,x^{m}\right)\, dx"," ",0,"int(x*ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
369,0,0,309,2.645000," ","int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} \ln \left(f \,x^{m}\right)\, dx"," ",0,"int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
370,0,0,818,2.639000," ","int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^2/x,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} \ln \left(f \,x^{m}\right)}{x}\, dx"," ",0,"int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^2/x,x)","F"
371,0,0,607,1.730000," ","int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^2/x^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} \ln \left(f \,x^{m}\right)}{x^{2}}\, dx"," ",0,"int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^2/x^2,x)","F"
372,0,0,907,1.882000," ","int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^2/x^3,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} \ln \left(f \,x^{m}\right)}{x^{3}}\, dx"," ",0,"int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^2/x^3,x)","F"
373,0,0,522,4.191000," ","int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^3,x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3} \ln \left(f \,x^{m}\right)\, dx"," ",0,"int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^3,x)","F"
374,0,0,518,0.087000," ","int(ln(x)/x*ln(b*x+a)^2,x)","\int \frac{\ln \left(x \right) \ln \left(b x +a \right)^{2}}{x}\, dx"," ",0,"int(ln(x)/x*ln(b*x+a)^2,x)","F"
375,0,0,25,7.405000," ","int(ln(f*x^m)/(b*ln(c*(e*x+d)^n)+a),x)","\int \frac{\ln \left(f \,x^{m}\right)}{b \ln \left(c \left(e x +d \right)^{n}\right)+a}\, dx"," ",0,"int(ln(f*x^m)/(b*ln(c*(e*x+d)^n)+a),x)","F"
376,0,0,25,13.299000," ","int(ln(f*x^m)/(b*ln(c*(e*x+d)^n)+a)^2,x)","\int \frac{\ln \left(f \,x^{m}\right)}{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(ln(f*x^m)/(b*ln(c*(e*x+d)^n)+a)^2,x)","F"
377,0,0,25,1.398000," ","int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^p,x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{p} \ln \left(f \,x^{m}\right)\, dx"," ",0,"int(ln(f*x^m)*(b*ln(c*(e*x+d)^n)+a)^p,x)","F"
378,0,0,360,0.062000," ","int(ln(b*x+a)*ln(d*x+c)/x,x)","\int \frac{\ln \left(b x +a \right) \ln \left(d x +c \right)}{x}\, dx"," ",0,"int(ln(b*x+a)*ln(d*x+c)/x,x)","F"
379,1,1785,244,0.526000," ","int(x^2*(b*ln(c*(e*x+d)^n)+a)*(f+g*ln(c*(e*x+d)^n)),x)","-\frac{i \pi  b f \,x^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{6}-\frac{\pi^{2} b g \,x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4}}{12}+\frac{\pi^{2} b g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{5}}{6}-\frac{\pi^{2} b g \,x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4}}{12}+\frac{\pi^{2} b g \,x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{5}}{6}-\frac{i \pi  a g \,x^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{6}+\frac{\left(-3 i \pi  b \,e^{3} g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+3 i \pi  b \,e^{3} g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+3 i \pi  b \,e^{3} g \,x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-3 i \pi  b \,e^{3} g \,x^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-2 b \,e^{3} g n \,x^{3}+6 b \,e^{3} g \,x^{3} \ln \left(c \right)+3 a \,e^{3} g \,x^{3}+3 b d \,e^{2} g n \,x^{2}+3 b \,e^{3} f \,x^{3}+6 b \,d^{3} g n \ln \left(e x +d \right)-6 b \,d^{2} e g n x \right) \ln \left(\left(e x +d \right)^{n}\right)}{9 e^{3}}+\frac{a f \,x^{3}}{3}+\frac{b g \,x^{3} \ln \left(\left(e x +d \right)^{n}\right)^{2}}{3}+\frac{11 b \,d^{2} g \,n^{2} x}{9 e^{2}}-\frac{b \,d^{2} f n x}{3 e^{2}}+\frac{b g \,x^{3} \ln \left(c \right)^{2}}{3}+\frac{a g \,x^{3} \ln \left(c \right)}{3}+\frac{b f \,x^{3} \ln \left(c \right)}{3}-\frac{b \,d^{3} g \,n^{2} \ln \left(e x +d \right)^{2}}{3 e^{3}}+\frac{i \pi  b \,d^{2} g n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{3 e^{2}}-\frac{5 b d g \,n^{2} x^{2}}{18 e}+\frac{a d g n \,x^{2}}{6 e}+\frac{b d f n \,x^{2}}{6 e}+\frac{a \,d^{3} g n \ln \left(e x +d \right)}{3 e^{3}}+\frac{b \,d^{3} f n \ln \left(e x +d \right)}{3 e^{3}}-\frac{2 b \,d^{2} g n x \ln \left(c \right)}{3 e^{2}}+\frac{2 b \,d^{3} g n \ln \left(c \right) \ln \left(e x +d \right)}{3 e^{3}}+\frac{b d g n \,x^{2} \ln \left(c \right)}{3 e}+\frac{i \pi  b g n \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{9}-\frac{i \pi  b g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(c \right)}{3}-\frac{i \pi  b d g n \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{6 e}-\frac{i \pi  b \,d^{3} g n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(e x +d \right)}{3 e^{3}}+\frac{i \pi  b \,d^{2} g n x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{3 e^{2}}-\frac{i \pi  b d g n \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{6 e}-\frac{i \pi  b \,d^{3} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{3 e^{3}}-\frac{i \pi  a g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{6}-\frac{i \pi  b f \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{6}-\frac{2 b g n \,x^{3} \ln \left(c \right)}{9}-\frac{\pi^{2} b g \,x^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{6}}{12}-\frac{b f n \,x^{3}}{9}+\frac{2 b g \,n^{2} x^{3}}{27}-\frac{a g n \,x^{3}}{9}-\frac{a \,d^{2} g n x}{3 e^{2}}-\frac{\pi^{2} b g \,x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{12}-\frac{i \pi  b g n \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{9}-\frac{i \pi  b g n \,x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{9}+\frac{i \pi  b g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(c \right)}{3}+\frac{i \pi  b g \,x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(c \right)}{3}+\frac{i \pi  b d g n \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6 e}+\frac{i \pi  b d g n \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6 e}+\frac{i \pi  b \,d^{3} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{3 e^{3}}+\frac{i \pi  b \,d^{3} g n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{3 e^{3}}-\frac{i \pi  b \,d^{2} g n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{3 e^{2}}-\frac{i \pi  b \,d^{2} g n x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{3 e^{2}}+\frac{\pi^{2} b g \,x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{6}+\frac{\pi^{2} b g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{6}-\frac{\pi^{2} b g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4}}{3}+\frac{i \pi  b g n \,x^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{9}-\frac{i \pi  b g \,x^{3} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(c \right)}{3}+\frac{i \pi  a g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6}+\frac{i \pi  a g \,x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6}+\frac{i \pi  b f \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6}+\frac{i \pi  b f \,x^{3} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6}-\frac{11 b \,d^{3} g \,n^{2} \ln \left(e x +d \right)}{9 e^{3}}"," ",0,"1/9*(-3*I*Pi*b*e^3*g*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+3*I*Pi*b*e^3*g*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+3*I*Pi*b*e^3*g*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-3*I*Pi*b*e^3*g*x^3*csgn(I*c*(e*x+d)^n)^3+6*ln(c)*b*e^3*g*x^3-2*b*e^3*g*n*x^3+3*a*e^3*g*x^3+3*b*d*e^2*g*n*x^2+3*b*e^3*f*x^3+6*b*d^3*g*n*ln(e*x+d)-6*b*d^2*e*g*n*x)/e^3*ln((e*x+d)^n)+1/3*a*f*x^3+1/3*g*b*x^3*ln((e*x+d)^n)^2+11/9*b*d^2*g*n^2*x/e^2-1/3*b*d^2*f*n*x/e^2+1/3*ln(c)^2*b*g*x^3+1/3*ln(c)*a*g*x^3+1/3*ln(c)*b*f*x^3+1/3*I*ln(c)*Pi*b*g*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/9*I*n*Pi*b*g*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/9*I*n*Pi*b*g*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/6*I*Pi*a*g*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/3*I*ln(c)*Pi*b*g*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/6*I*Pi*b*f*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/3*b*d^3*g*n^2*ln(e*x+d)^2/e^3+1/3*I/e^2*Pi*b*d^2*g*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/6*I/e*Pi*b*d*g*n*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/3*I/e^3*Pi*ln(e*x+d)*b*d^3*g*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-5/18/e*b*d*g*n^2*x^2+1/6/e*a*d*g*n*x^2+1/6/e*b*d*f*n*x^2+1/3/e^3*ln(e*x+d)*a*d^3*g*n+1/3/e^3*ln(e*x+d)*b*d^3*f*n-1/12*Pi^2*b*g*x^3*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4+1/6*Pi^2*b*g*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5-1/12*Pi^2*b*g*x^3*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4+1/6*Pi^2*b*g*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-1/6*I*Pi*a*g*x^3*csgn(I*c*(e*x+d)^n)^3-1/3*Pi^2*b*g*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4-1/12*Pi^2*b*g*x^3*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2+1/6*Pi^2*b*g*x^3*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3+1/6*Pi^2*b*g*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3-2/3/e^2*ln(c)*b*d^2*g*n*x+2/3/e^3*ln(c)*ln(e*x+d)*b*d^3*g*n+1/3/e*ln(c)*b*d*g*n*x^2+1/6*I*Pi*b*f*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/6*I*Pi*a*g*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/6*I*Pi*b*f*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/3*I*ln(c)*Pi*b*g*x^3*csgn(I*c*(e*x+d)^n)^3+1/6*I*Pi*a*g*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/9*I*n*Pi*b*g*x^3*csgn(I*c*(e*x+d)^n)^3-2/9*n*ln(c)*b*g*x^3-1/12*Pi^2*b*g*x^3*csgn(I*c*(e*x+d)^n)^6-1/9*n*b*f*x^3+2/27*b*g*n^2*x^3-1/9*n*a*g*x^3+1/3*I/e^3*Pi*ln(e*x+d)*b*d^3*g*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/3*I/e^3*Pi*ln(e*x+d)*b*d^3*g*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/6*I/e*Pi*b*d*g*n*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/3/e^2*a*d^2*g*n*x+1/9*I*n*Pi*b*g*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/3*I/e^3*Pi*ln(e*x+d)*b*d^3*g*n*csgn(I*c*(e*x+d)^n)^3-1/6*I/e*Pi*b*d*g*n*x^2*csgn(I*c*(e*x+d)^n)^3+1/3*I/e^2*Pi*b*d^2*g*n*x*csgn(I*c*(e*x+d)^n)^3-1/3*I*ln(c)*Pi*b*g*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/6*I/e*Pi*b*d*g*n*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/3*I/e^2*Pi*b*d^2*g*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/3*I/e^2*Pi*b*d^2*g*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/6*I*Pi*b*f*x^3*csgn(I*c*(e*x+d)^n)^3-11/9*b*d^3*g*n^2/e^3*ln(e*x+d)","C"
380,1,1558,186,0.531000," ","int(x*(b*ln(c*(e*x+d)^n)+a)*(f+g*ln(c*(e*x+d)^n)),x)","\frac{b g \,x^{2} \ln \left(c \right)^{2}}{2}+\frac{a g \,x^{2} \ln \left(c \right)}{2}+\frac{b f \,x^{2} \ln \left(c \right)}{2}+\frac{a f \,x^{2}}{2}+\frac{\left(-i \pi  b \,e^{2} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,e^{2} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,e^{2} g \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \,e^{2} g \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-b \,e^{2} g n \,x^{2}+2 b \,e^{2} g \,x^{2} \ln \left(c \right)+a \,e^{2} g \,x^{2}-2 b \,d^{2} g n \ln \left(e x +d \right)+2 b d e g n x +b \,e^{2} f \,x^{2}\right) \ln \left(\left(e x +d \right)^{n}\right)}{2 e^{2}}+\frac{b g \,x^{2} \ln \left(\left(e x +d \right)^{n}\right)^{2}}{2}-\frac{\pi^{2} b g \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{6}}{8}-\frac{3 b d g \,n^{2} x}{2 e}+\frac{b d f n x}{2 e}+\frac{b g \,n^{2} x^{2}}{4}-\frac{a g n \,x^{2}}{4}-\frac{b f n \,x^{2}}{4}-\frac{i \pi  b g n \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4}+\frac{i \pi  b g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(c \right)}{2}+\frac{i \pi  b g \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(c \right)}{2}-\frac{i \pi  a g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4}-\frac{i \pi  b f \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4}+\frac{i \pi  b \,d^{2} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{2 e^{2}}+\frac{b \,d^{2} g \,n^{2} \ln \left(e x +d \right)^{2}}{2 e^{2}}-\frac{\pi^{2} b g \,x^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{8}+\frac{\pi^{2} b g \,x^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4}+\frac{\pi^{2} b g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4}-\frac{\pi^{2} b g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4}}{2}+\frac{i \pi  b g n \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4}-\frac{i \pi  b g \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(c \right)}{2}+\frac{i \pi  a g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4}+\frac{i \pi  a g \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4}+\frac{i \pi  b f \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4}+\frac{i \pi  b f \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4}-\frac{i \pi  b \,d^{2} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{2}}-\frac{i \pi  b \,d^{2} g n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{2}}+\frac{i \pi  b d g n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 e}+\frac{i \pi  b d g n x \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 e}+\frac{i \pi  b g n \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{4}-\frac{i \pi  b g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(c \right)}{2}-\frac{i \pi  b d g n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 e}-\frac{b \,d^{2} g n \ln \left(c \right) \ln \left(e x +d \right)}{e^{2}}+\frac{b d g n x \ln \left(c \right)}{e}-\frac{b g n \,x^{2} \ln \left(c \right)}{2}-\frac{\pi^{2} b g \,x^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4}}{8}+\frac{\pi^{2} b g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{5}}{4}-\frac{\pi^{2} b g \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4}}{8}+\frac{\pi^{2} b g \,x^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{5}}{4}-\frac{i \pi  b g n \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{4}-\frac{i \pi  a g \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4}-\frac{i \pi  b f \,x^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{4}+\frac{a d g n x}{2 e}-\frac{b \,d^{2} f n \ln \left(e x +d \right)}{2 e^{2}}-\frac{a \,d^{2} g n \ln \left(e x +d \right)}{2 e^{2}}+\frac{3 b \,d^{2} g \,n^{2} \ln \left(e x +d \right)}{2 e^{2}}+\frac{i \pi  b \,d^{2} g n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(e x +d \right)}{2 e^{2}}-\frac{i \pi  b d g n x \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 e}"," ",0,"1/2*(-I*Pi*b*e^2*g*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*e^2*g*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*e^2*g*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*e^2*g*x^2*csgn(I*c*(e*x+d)^n)^3+2*b*e^2*g*x^2*ln(c)-b*e^2*g*n*x^2+a*e^2*g*x^2-2*b*d^2*g*n*ln(e*x+d)+2*b*d*e*g*n*x+b*e^2*f*x^2)/e^2*ln((e*x+d)^n)+1/2*ln(c)^2*b*g*x^2+1/2*ln(c)*a*g*x^2+1/2*ln(c)*b*f*x^2+1/2*a*f*x^2+1/2*g*b*x^2*ln((e*x+d)^n)^2-3/2*b*d*g*n^2*x/e+1/2*b*d/e*f*n*x+1/4*x^2*b*g*n^2-1/4*x^2*n*a*g-1/4*x^2*n*b*f+1/2*I/e^2*ln(e*x+d)*Pi*b*d^2*g*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I/e*Pi*b*d*g*n*x*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*ln(c)*Pi*b*g*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/4*I*n*Pi*b*g*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*ln(c)*Pi*b*g*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/4*I*n*Pi*b*g*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/4*I*Pi*a*g*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/4*I*Pi*b*f*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*b*d^2*g*n^2*ln(e*x+d)^2/e^2-1/2*I/e^2*ln(e*x+d)*Pi*b*d^2*g*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I/e^2*ln(e*x+d)*Pi*b*d^2*g*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I/e*Pi*b*d*g*n*x*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I/e*Pi*b*d*g*n*x*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*ln(c)*Pi*b*g*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/4*I*n*Pi*b*g*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I/e^2*ln(e*x+d)*Pi*b*d^2*g*n*csgn(I*c*(e*x+d)^n)^3-1/2*I/e*Pi*b*d*g*n*x*csgn(I*c*(e*x+d)^n)^3-1/e^2*ln(e*x+d)*ln(c)*b*d^2*g*n+1/e*ln(c)*b*d*g*n*x-1/2*Pi^2*b*g*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4+1/4*Pi^2*b*g*x^2*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3-1/2*n*ln(c)*b*g*x^2-1/8*Pi^2*b*g*x^2*csgn(I*c*(e*x+d)^n)^6+1/4*Pi^2*b*g*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3-1/8*Pi^2*b*g*x^2*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2+1/4*I*n*Pi*b*g*x^2*csgn(I*c*(e*x+d)^n)^3+1/4*I*Pi*a*g*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/4*I*Pi*b*f*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/4*I*Pi*a*g*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/4*I*Pi*b*f*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/2*I*ln(c)*Pi*b*g*x^2*csgn(I*c*(e*x+d)^n)^3+1/2/e*a*d*g*n*x+1/4*Pi^2*b*g*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5+1/4*Pi^2*b*g*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-1/8*Pi^2*b*g*x^2*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4-1/8*Pi^2*b*g*x^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4-1/2/e^2*ln(e*x+d)*b*d^2*f*n-1/2/e^2*ln(e*x+d)*a*d^2*g*n-1/4*I*Pi*a*g*x^2*csgn(I*c*(e*x+d)^n)^3-1/4*I*Pi*b*f*x^2*csgn(I*c*(e*x+d)^n)^3+3/2*b*d^2*g*n^2/e^2*ln(e*x+d)","C"
381,1,156,108,0.075000," ","int((b*ln(c*(e*x+d)^n)+a)*(f+g*ln(c*(e*x+d)^n)),x)","-\frac{2 b d g \,n^{2} \ln \left(e x +d \right)}{e}+2 b g \,n^{2} x -2 b g n x \ln \left(c \,{\mathrm e}^{n \ln \left(e x +d \right)}\right)+b g x \ln \left(c \,{\mathrm e}^{n \ln \left(e x +d \right)}\right)^{2}+\frac{a d g n \ln \left(e x +d \right)}{e}-a g n x +a g x \ln \left(c \left(e x +d \right)^{n}\right)+\frac{b d f n \ln \left(e x +d \right)}{e}+\frac{b d g \ln \left(c \,{\mathrm e}^{n \ln \left(e x +d \right)}\right)^{2}}{e}-b f n x +b f x \ln \left(c \left(e x +d \right)^{n}\right)+a f x"," ",0,"x*a*f+x*a*g*ln(c*(e*x+d)^n)-a*g*n*x+a*g/e*n*d*ln(e*x+d)+x*b*ln(c*(e*x+d)^n)*f-b*f*n*x+b*f/e*n*d*ln(e*x+d)+b*g*x*ln(c*exp(n*ln(e*x+d)))^2+b*d*g/e*ln(c*exp(n*ln(e*x+d)))^2+2*b*g*n^2*x-2*n^2*b*d*g/e*ln(e*x+d)-2*b*g*n*x*ln(c*exp(n*ln(e*x+d)))","A"
382,1,1534,154,0.435000," ","int((b*ln(c*(e*x+d)^n)+a)*(f+g*ln(c*(e*x+d)^n))/x,x)","-2 b g \,n^{2} \polylog \left(3, \frac{e x +d}{d}\right)-a g n \dilog \left(\frac{e x +d}{d}\right)-b f n \dilog \left(\frac{e x +d}{d}\right)-a g n \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)-b f n \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)+b g \ln \left(\left(e x +d \right)^{n}\right)^{2} \ln \left(e x \right)+a g \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)+b f \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)+b f \ln \left(c \right) \ln \left(x \right)+b g \ln \left(c \right)^{2} \ln \left(x \right)+a g \ln \left(c \right) \ln \left(x \right)+i \pi  b g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)+a f \ln \left(x \right)+2 b g n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)-\frac{\pi^{2} b g \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4} \ln \left(x \right)}{4}+\frac{\pi^{2} b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{5} \ln \left(x \right)}{2}-\frac{\pi^{2} b g \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4} \ln \left(x \right)}{4}+\frac{\pi^{2} b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{5} \ln \left(x \right)}{2}-\frac{i \pi  a g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{2}+i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)+2 b g \,n^{2} \polylog \left(2, \frac{e x +d}{d}\right) \ln \left(e x +d \right)+b g \,n^{2} \ln \left(-\frac{e x +d}{d}+1\right) \ln \left(e x +d \right)^{2}+2 b g n \dilog \left(-\frac{e x}{d}\right) \ln \left(\left(e x +d \right)^{n}\right)-2 b g \,n^{2} \dilog \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)-2 b g n \dilog \left(\frac{e x +d}{d}\right) \ln \left(c \right)-i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)+\frac{i \pi  a g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  b f \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  a g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2}-2 b g \,n^{2} \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)^{2}+b g \,n^{2} \ln \left(e x \right) \ln \left(e x +d \right)^{2}+2 b g \ln \left(c \right) \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)-i \pi  b g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)-i \pi  b g n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)+i \pi  b g n \dilog \left(\frac{e x +d}{d}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)-i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(c \right) \ln \left(x \right)-i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)-2 b g n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(e x \right) \ln \left(e x +d \right)-\frac{\pi^{2} b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{6} \ln \left(x \right)}{4}-i \pi  b g n \dilog \left(\frac{e x +d}{d}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(c \right) \ln \left(x \right)+\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2}-2 b g n \ln \left(c \right) \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)+i \pi  b g n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)-i \pi  b g n \dilog \left(\frac{e x +d}{d}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-\frac{i \pi  a g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{2}-\frac{i \pi  b f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{2}-\frac{i \pi  b f \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{2}+i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(c \right) \ln \left(x \right)+i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)-\frac{\pi^{2} b g \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{4}+\frac{\pi^{2} b g \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{2}+\frac{\pi^{2} b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right)^{2} \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{2}-\pi^{2} b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{4} \ln \left(x \right)+i \pi  b g n \dilog \left(\frac{e x +d}{d}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}-i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(c \right) \ln \left(x \right)"," ",0,"I*Pi*ln(x)*ln((e*x+d)/d)*b*g*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-ln(x)*ln((e*x+d)/d)*a*g*n-ln(x)*ln((e*x+d)/d)*b*f*n+ln((e*x+d)^n)^2*ln(e*x)*b*g+ln(x)*ln((e*x+d)^n)*a*g+ln(x)*ln((e*x+d)^n)*b*f+ln(c)*ln(x)*b*f+ln(c)^2*ln(x)*b*g+ln(c)*ln(x)*a*g-2*polylog(3,(e*x+d)/d)*b*g*n^2+a*f*ln(x)+2*ln((e*x+d)^n)*dilog(-1/d*e*x)*b*g*n+I*Pi*dilog((e*x+d)/d)*b*g*n*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*ln(c)*Pi*ln(x)*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*Pi*ln(x)*ln((e*x+d)/d)*b*g*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-dilog((e*x+d)/d)*a*g*n-dilog((e*x+d)/d)*b*f*n+I*Pi*ln(x)*ln((e*x+d)^n)*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+2*ln((e*x+d)^n)*ln(-1/d*e*x)*ln(e*x+d)*b*g*n+1/2*Pi^2*ln(x)*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^5-1/4*Pi^2*ln(x)*b*g*csgn(I*c)^2*csgn(I*c*(e*x+d)^n)^4+1/2*I*Pi*ln(x)*b*f*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*Pi^2*ln(x)*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^5-1/4*Pi^2*ln(x)*b*g*csgn(I*c*(e*x+d)^n)^6+I*Pi*ln(x)*ln((e*x+d)/d)*b*g*n*csgn(I*c*(e*x+d)^n)^3+I*ln(c)*Pi*ln(x)*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*Pi*dilog((e*x+d)/d)*b*g*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*Pi^2*ln(x)*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^3+I*Pi*ln(x)*ln((e*x+d)^n)*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I*Pi*ln(x)*a*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+ln(1-(e*x+d)/d)*ln(e*x+d)^2*b*g*n^2-1/2*I*Pi*ln(x)*b*f*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I*Pi*ln(x)*a*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*ln(c)*Pi*ln(x)*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*dilog((e*x+d)/d)*b*g*n*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-2*dilog(-1/d*e*x)*ln(e*x+d)*b*g*n^2-2*ln(c)*dilog((e*x+d)/d)*b*g*n-2*ln(-1/d*e*x)*ln(e*x+d)^2*b*g*n^2+ln(e*x)*ln(e*x+d)^2*b*g*n^2+2*polylog(2,(e*x+d)/d)*ln(e*x+d)*b*g*n^2+2*ln(c)*ln(x)*ln((e*x+d)^n)*b*g-2*ln((e*x+d)^n)*ln(e*x)*ln(e*x+d)*b*g*n-1/4*Pi^2*ln(x)*b*g*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^4-1/2*I*Pi*ln(x)*b*f*csgn(I*c*(e*x+d)^n)^3+1/2*I*Pi*ln(x)*b*f*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I*Pi*ln(x)*a*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-Pi^2*ln(x)*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^4-2*ln(c)*ln(x)*ln((e*x+d)/d)*b*g*n-1/2*I*Pi*ln(x)*a*g*csgn(I*c*(e*x+d)^n)^3+I*Pi*dilog((e*x+d)/d)*b*g*n*csgn(I*c*(e*x+d)^n)^3+1/2*Pi^2*ln(x)*b*g*csgn(I*c)^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^3-I*Pi*ln(x)*ln((e*x+d)/d)*b*g*n*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*Pi*ln(x)*ln((e*x+d)^n)*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*Pi*ln(x)*ln((e*x+d)^n)*b*g*csgn(I*c*(e*x+d)^n)^3-1/4*Pi^2*ln(x)*b*g*csgn(I*c)^2*csgn(I*(e*x+d)^n)^2*csgn(I*c*(e*x+d)^n)^2-I*ln(c)*Pi*ln(x)*b*g*csgn(I*c*(e*x+d)^n)^3","C"
383,1,931,96,0.336000," ","int((b*ln(c*(e*x+d)^n)+a)*(f+g*ln(c*(e*x+d)^n))/x^2,x)","-\frac{b g \ln \left(\left(e x +d \right)^{n}\right)^{2}}{x}-\frac{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 a \right) \left(-i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 g \ln \left(c \right)+2 f \right)}{4 x}-\frac{a g \ln \left(\left(e x +d \right)^{n}\right)}{x}-\frac{b f \ln \left(\left(e x +d \right)^{n}\right)}{x}-\frac{i \pi  b e g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{d}+\frac{i \pi  b e g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{d}+\frac{2 b e g n \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)}{d}-\frac{2 b e g n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{d}+\frac{i \pi  b e g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{d}-\frac{i \pi  b e g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{d}+\frac{i \pi  b e g n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{d}-\frac{2 b e g \,n^{2} \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)}{d}+\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(\left(e x +d \right)^{n}\right)}{x}-\frac{2 b g \ln \left(c \right) \ln \left(\left(e x +d \right)^{n}\right)}{x}-\frac{i \pi  b e g n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{d}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{x}-\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{x}-\frac{i \pi  b e g n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{d}+\frac{i \pi  b e g n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(e x +d \right)}{d}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(\left(e x +d \right)^{n}\right)}{x}+\frac{a e g n \ln \left(x \right)}{d}+\frac{b e f n \ln \left(x \right)}{d}-\frac{a e g n \ln \left(e x +d \right)}{d}-\frac{b e f n \ln \left(e x +d \right)}{d}+\frac{b e g \,n^{2} \ln \left(e x +d \right)^{2}}{d}-\frac{2 b e g \,n^{2} \dilog \left(\frac{e x +d}{d}\right)}{d}+\frac{2 b e g n \ln \left(c \right) \ln \left(x \right)}{d}-\frac{2 b e g n \ln \left(c \right) \ln \left(e x +d \right)}{d}"," ",0,"-I*ln((e*x+d)^n)/x*Pi*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*e*n/d*ln(e*x+d)*Pi*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-b*g/x*ln((e*x+d)^n)^2-ln((e*x+d)^n)/x*a*g-ln((e*x+d)^n)/x*b*f-I*ln((e*x+d)^n)/x*Pi*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/4*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*a)*(-I*g*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*g*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*g*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*g*Pi*csgn(I*c*(e*x+d)^n)^3+2*g*ln(c)+2*f)/x-I*e*n/d*ln(x)*Pi*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+2*b*g*e*n*ln((e*x+d)^n)/d*ln(x)-2*b*g*e*n*ln((e*x+d)^n)/d*ln(e*x+d)+I*e*n/d*ln(x)*Pi*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-I*e*n/d*ln(e*x+d)*Pi*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-2*b*g*e*n^2/d*ln(x)*ln((e*x+d)/d)+I*ln((e*x+d)^n)/x*Pi*b*g*csgn(I*c*(e*x+d)^n)^3+I*e*n/d*ln(x)*Pi*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-2*ln((e*x+d)^n)/x*ln(c)*b*g+I*e*n/d*ln(e*x+d)*Pi*b*g*csgn(I*c*(e*x+d)^n)^3+I*ln((e*x+d)^n)/x*Pi*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-I*e*n/d*ln(e*x+d)*Pi*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*e*n/d*ln(x)*Pi*b*g*csgn(I*c*(e*x+d)^n)^3+e*n/d*ln(x)*a*g+e*n/d*ln(x)*b*f-e*n/d*ln(e*x+d)*a*g-e*n/d*ln(e*x+d)*b*f-2*b*g*e*n^2/d*dilog((e*x+d)/d)+b*g*e*n^2/d*ln(e*x+d)^2+2*e*n/d*ln(x)*ln(c)*b*g-2*e*n/d*ln(e*x+d)*ln(c)*b*g","C"
384,1,1201,150,0.353000," ","int((b*ln(c*(e*x+d)^n)+a)*(f+g*ln(c*(e*x+d)^n))/x^3,x)","-\frac{a g \ln \left(\left(e x +d \right)^{n}\right)}{2 x^{2}}-\frac{b g \ln \left(\left(e x +d \right)^{n}\right)^{2}}{2 x^{2}}-\frac{b f \ln \left(\left(e x +d \right)^{n}\right)}{2 x^{2}}-\frac{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 a \right) \left(-i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 g \ln \left(c \right)+2 f \right)}{8 x^{2}}-\frac{i \pi  b \,e^{2} g n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 d^{2}}+\frac{b \,e^{2} g \,n^{2} \ln \left(x \right)}{d^{2}}+\frac{i \pi  b \,e^{2} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{2 d^{2}}-\frac{i \pi  b \,e^{2} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{2 d^{2}}+\frac{i \pi  b e g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{2 d x}+\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(\left(e x +d \right)^{n}\right)}{2 x^{2}}+\frac{b \,e^{2} g \,n^{2} \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)}{d^{2}}-\frac{b e g n \ln \left(c \right)}{d x}-\frac{b \,e^{2} g n \ln \left(c \right) \ln \left(x \right)}{d^{2}}+\frac{b \,e^{2} g n \ln \left(c \right) \ln \left(e x +d \right)}{d^{2}}-\frac{i \pi  b e g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 d x}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 x^{2}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{2 x^{2}}-\frac{b \,e^{2} g n \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)}{d^{2}}-\frac{b e g n \ln \left(\left(e x +d \right)^{n}\right)}{d x}-\frac{i \pi  b e g n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{2 d x}+\frac{i \pi  b \,e^{2} g n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{2}}-\frac{i \pi  b \,e^{2} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{2 d^{2}}+\frac{i \pi  b \,e^{2} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{2}}+\frac{b \,e^{2} g n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{d^{2}}-\frac{b g \ln \left(c \right) \ln \left(\left(e x +d \right)^{n}\right)}{x^{2}}+\frac{i \pi  b e g n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{2 d x}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(\left(e x +d \right)^{n}\right)}{2 x^{2}}+\frac{i \pi  b \,e^{2} g n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{2 d^{2}}-\frac{i \pi  b \,e^{2} g n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(e x +d \right)}{2 d^{2}}+\frac{a \,e^{2} g n \ln \left(e x +d \right)}{2 d^{2}}+\frac{b \,e^{2} f n \ln \left(e x +d \right)}{2 d^{2}}-\frac{a \,e^{2} g n \ln \left(x \right)}{2 d^{2}}-\frac{b \,e^{2} f n \ln \left(x \right)}{2 d^{2}}-\frac{a e g n}{2 d x}-\frac{b e f n}{2 d x}+\frac{b \,e^{2} g \,n^{2} \dilog \left(\frac{e x +d}{d}\right)}{d^{2}}-\frac{b \,e^{2} g \,n^{2} \ln \left(e x +d \right)^{2}}{2 d^{2}}-\frac{b \,e^{2} g \,n^{2} \ln \left(e x +d \right)}{d^{2}}"," ",0,"-1/2*I*e*n/d/x*Pi*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*ln((e*x+d)^n)/x^2*a*g-1/2*b*g/x^2*ln((e*x+d)^n)^2-1/2*ln((e*x+d)^n)/x^2*b*f-1/8*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*a)*(-I*Pi*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*g*csgn(I*c*(e*x+d)^n)^3+2*g*ln(c)+2*f)/x^2-1/2*I*e^2*n/d^2*ln(e*x+d)*Pi*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*e^2*n/d^2*ln(x)*Pi*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/2*I*e*n/d/x*Pi*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I*e^2*n/d^2*ln(x)*Pi*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I*e*n/d/x*Pi*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+b*e^2*g*n^2*ln(x)/d^2+b*g*e^2*n^2/d^2*ln(x)*ln((e*x+d)/d)-e*n/d/x*ln(c)*b*g-e^2*n/d^2*ln(x)*ln(c)*b*g+e^2*n/d^2*ln(e*x+d)*ln(c)*b*g+b*g*e^2*n^2/d^2*dilog((e*x+d)/d)-1/2*I*ln((e*x+d)^n)/x^2*Pi*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-b*g*e^2*n*ln((e*x+d)^n)/d^2*ln(x)+1/2*I*ln((e*x+d)^n)/x^2*Pi*b*g*csgn(I*c*(e*x+d)^n)^3-b*g*e*n*ln((e*x+d)^n)/d/x-1/2*I*ln((e*x+d)^n)/x^2*Pi*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/2*I*e^2*n/d^2*ln(x)*Pi*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/2*I*e^2*n/d^2*ln(e*x+d)*Pi*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*I*e^2*n/d^2*ln(e*x+d)*Pi*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+b*g*e^2*n*ln((e*x+d)^n)/d^2*ln(e*x+d)-ln((e*x+d)^n)/x^2*ln(c)*b*g+1/2*I*e^2*n/d^2*ln(x)*Pi*b*g*csgn(I*c*(e*x+d)^n)^3+1/2*I*ln((e*x+d)^n)/x^2*Pi*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/2*I*e^2*n/d^2*ln(e*x+d)*Pi*b*g*csgn(I*c*(e*x+d)^n)^3+1/2*I*e*n/d/x*Pi*b*g*csgn(I*c*(e*x+d)^n)^3+1/2*e^2*n/d^2*ln(e*x+d)*a*g+1/2*e^2*n/d^2*ln(e*x+d)*b*f-1/2*e^2*n/d^2*ln(x)*a*g-1/2*e^2*n/d^2*ln(x)*b*f-1/2*e*n/d/x*a*g-1/2*e*n/d/x*b*f-1/2*b*g*e^2*n^2/d^2*ln(e*x+d)^2-b*g*e^2*n^2/d^2*ln(e*x+d)","C"
385,1,1437,220,0.433000," ","int((b*ln(c*(e*x+d)^n)+a)*(f+g*ln(c*(e*x+d)^n))/x^4,x)","-\frac{b g \ln \left(\left(e x +d \right)^{n}\right)^{2}}{3 x^{3}}-\frac{a g \ln \left(\left(e x +d \right)^{n}\right)}{3 x^{3}}-\frac{b f \ln \left(\left(e x +d \right)^{n}\right)}{3 x^{3}}-\frac{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 b \ln \left(c \right)+2 a \right) \left(-i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)+i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}+i \pi  g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}-i \pi  g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}+2 g \ln \left(c \right)+2 f \right)}{12 x^{3}}+\frac{b \,e^{3} g \,n^{2} \ln \left(e x +d \right)}{d^{3}}-\frac{b \,e^{2} g \,n^{2}}{3 d^{2} x}-\frac{b e g n \ln \left(\left(e x +d \right)^{n}\right)}{3 d \,x^{2}}+\frac{2 b \,e^{3} g n \ln \left(x \right) \ln \left(\left(e x +d \right)^{n}\right)}{3 d^{3}}+\frac{2 b \,e^{2} g n \ln \left(\left(e x +d \right)^{n}\right)}{3 d^{2} x}-\frac{i \pi  b \,e^{3} g n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(x \right)}{3 d^{3}}+\frac{i \pi  b \,e^{3} g n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(e x +d \right)}{3 d^{3}}-\frac{i \pi  b \,e^{2} g n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{3 d^{2} x}+\frac{i \pi  b e g n \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3}}{6 d \,x^{2}}+\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(\left(e x +d \right)^{n}\right)}{3 x^{3}}-\frac{b \,e^{3} g \,n^{2} \ln \left(x \right)}{d^{3}}-\frac{2 b \,e^{3} g n \ln \left(\left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{3 d^{3}}-\frac{i \pi  b \,e^{3} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(x \right)}{3 d^{3}}+\frac{i \pi  b \,e^{3} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right) \ln \left(e x +d \right)}{3 d^{3}}-\frac{i \pi  b \,e^{2} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{3 d^{2} x}+\frac{i \pi  b e g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)}{6 d \,x^{2}}-\frac{2 b \,e^{3} g \,n^{2} \dilog \left(\frac{e x +d}{d}\right)}{3 d^{3}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{3 x^{3}}-\frac{i \pi  b g \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(\left(e x +d \right)^{n}\right)}{3 x^{3}}+\frac{i \pi  b g \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{3} \ln \left(\left(e x +d \right)^{n}\right)}{3 x^{3}}-\frac{i \pi  b e g n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6 d \,x^{2}}-\frac{2 b g \ln \left(c \right) \ln \left(\left(e x +d \right)^{n}\right)}{3 x^{3}}-\frac{2 b \,e^{3} g \,n^{2} \ln \left(x \right) \ln \left(\frac{e x +d}{d}\right)}{3 d^{3}}+\frac{2 b \,e^{3} g n \ln \left(c \right) \ln \left(x \right)}{3 d^{3}}-\frac{2 b \,e^{3} g n \ln \left(c \right) \ln \left(e x +d \right)}{3 d^{3}}-\frac{b e g n \ln \left(c \right)}{3 d \,x^{2}}+\frac{2 b \,e^{2} g n \ln \left(c \right)}{3 d^{2} x}+\frac{b \,e^{3} g \,n^{2} \ln \left(e x +d \right)^{2}}{3 d^{3}}-\frac{a e g n}{6 d \,x^{2}}+\frac{i \pi  b \,e^{3} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{3 d^{3}}-\frac{i \pi  b \,e^{3} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{3 d^{3}}+\frac{i \pi  b \,e^{3} g n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(x \right)}{3 d^{3}}-\frac{i \pi  b \,e^{3} g n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2} \ln \left(e x +d \right)}{3 d^{3}}+\frac{i \pi  b \,e^{2} g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{3 d^{2} x}+\frac{i \pi  b \,e^{2} g n \,\mathrm{csgn}\left(i \left(e x +d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{3 d^{2} x}-\frac{i \pi  b e g n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{n}\right)^{2}}{6 d \,x^{2}}-\frac{b e f n}{6 d \,x^{2}}+\frac{a \,e^{2} g n}{3 d^{2} x}+\frac{b \,e^{2} f n}{3 d^{2} x}+\frac{a \,e^{3} g n \ln \left(x \right)}{3 d^{3}}+\frac{b \,e^{3} f n \ln \left(x \right)}{3 d^{3}}-\frac{a \,e^{3} g n \ln \left(e x +d \right)}{3 d^{3}}-\frac{b \,e^{3} f n \ln \left(e x +d \right)}{3 d^{3}}"," ",0,"-1/12*(-I*Pi*b*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*b*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*b*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*b*csgn(I*c*(e*x+d)^n)^3+2*b*ln(c)+2*a)*(-I*Pi*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+I*Pi*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+I*Pi*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-I*Pi*g*csgn(I*c*(e*x+d)^n)^3+2*g*ln(c)+2*f)/x^3-1/6*I*e*n/d/x^2*Pi*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/3*b*g/x^3*ln((e*x+d)^n)^2-1/3*ln((e*x+d)^n)/x^3*a*g-1/3*ln((e*x+d)^n)/x^3*b*f+b*e^3*g*n^2*ln(e*x+d)/d^3-1/3*b*e^2*g*n^2/d^2/x-1/3*b*g*e*n*ln((e*x+d)^n)/d/x^2+2/3*b*g*e^3*n*ln((e*x+d)^n)/d^3*ln(x)+2/3*b*g*e^2*n*ln((e*x+d)^n)/d^2/x+1/3*I*e^2*n/d^2/x*Pi*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/3*I*e^2*n/d^2/x*Pi*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/3*I*e^3*n/d^3*ln(x)*Pi*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/6*I*e*n/d/x^2*Pi*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-b*e^3*g*n^2*ln(x)/d^3-1/3*I*ln((e*x+d)^n)/x^3*Pi*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/3*I*ln((e*x+d)^n)/x^3*Pi*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/3*I*e^3*n/d^3*ln(e*x+d)*Pi*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/3*I*e^2*n/d^2/x*Pi*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-2/3*b*g*e^3*n*ln((e*x+d)^n)/d^3*ln(e*x+d)+1/3*I*ln((e*x+d)^n)/x^3*Pi*b*g*csgn(I*c*(e*x+d)^n)^3+1/3*I*ln((e*x+d)^n)/x^3*Pi*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/3*I*e^3*n/d^3*ln(x)*Pi*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/6*I*e*n/d/x^2*Pi*b*g*csgn(I*c*(e*x+d)^n)^3-1/3*I*e^2*n/d^2/x*Pi*b*g*csgn(I*c*(e*x+d)^n)^3-2/3*ln((e*x+d)^n)/x^3*ln(c)*b*g-1/6*I*e*n/d/x^2*Pi*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/3*I*e^3*n/d^3*ln(e*x+d)*Pi*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-2/3*b*g*e^3*n^2/d^3*ln(x)*ln((e*x+d)/d)+2/3*e^3*n/d^3*ln(x)*ln(c)*b*g-2/3*e^3*n/d^3*ln(e*x+d)*ln(c)*b*g-1/3*e*n/d/x^2*ln(c)*b*g+2/3*e^2*n/d^2/x*ln(c)*b*g-1/3*I*e^3*n/d^3*ln(e*x+d)*Pi*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/3*I*e^3*n/d^3*ln(x)*Pi*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-2/3*b*g*e^3*n^2/d^3*dilog((e*x+d)/d)+1/3*b*g*e^3*n^2/d^3*ln(e*x+d)^2-1/6*e*n/d/x^2*a*g-1/6*e*n/d/x^2*b*f+1/3*e^2*n/d^2/x*a*g+1/3*e^2*n/d^2/x*b*f+1/3*e^3*n/d^3*ln(x)*a*g+1/3*e^3*n/d^3*ln(x)*b*f-1/3*e^3*n/d^3*ln(e*x+d)*a*g-1/3*e^3*n/d^3*ln(e*x+d)*b*f-1/3*I*e^3*n/d^3*ln(x)*Pi*b*g*csgn(I*c*(e*x+d)^n)^3+1/3*I*e^3*n/d^3*ln(e*x+d)*Pi*b*g*csgn(I*c*(e*x+d)^n)^3","C"
386,1,4217,680,2.210000," ","int(x^3*(b*ln(c*(e*x+d)^n)+a)*(f+g*ln(h*(j*x+i)^m)),x)","\text{output too large to display}"," ",0,"1/4/j^4*b*g*i^4*m*n*ln(j*x+i)*ln(((j*x+i)*e+d*j-e*i)/(d*j-e*i))+1/8*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g*m/j^4*i^4*ln(j*x+i)+1/16*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^4*g*csgn(I*h*(j*x+i)^m)^3+1/16*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^4*g*csgn(I*h*(j*x+i)^m)^3+1/16*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^4*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/16*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^4*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/32*I*Pi*x^4*b*g*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/8*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g*x^4*ln((j*x+i)^m)+1/8*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g*x^4*ln((j*x+i)^m)+1/8*I*Pi*x^4*b*f*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/8*I*ln(c)*Pi*x^4*b*g*csgn(I*h*(j*x+i)^m)^3-1/8*I/j^3*Pi*x*b*g*i^3*m*csgn(I*c*(e*x+d)^n)^3+1/4*a*g*i^3*m*x/j^3+1/4*b*d^3*f*n*x/e^3+1/16/j^4*g*i^4*m*ln((e*x+d)*j-d*j+e*i)*b*n+1/4/e^4*b*d^4*g*m*n*dilog(((e*x+d)*j-d*j+e*i)/(-d*j+e*i))+1/32*I*Pi*x^4*b*g*n*csgn(I*h*(j*x+i)^m)^3+1/8*I*Pi*x^4*a*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/8*I*Pi*x^4*b*f*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/8*I/j^3*Pi*x*b*g*i^3*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/8*I/e^4*ln(e*x+d)*Pi*b*d^4*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/8*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g*m/j^4*i^4*ln(j*x+i)-1/8*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g*m/j^4*i^4*ln(j*x+i)-1/8*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*g*x^4*ln((j*x+i)^m)-1/16*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^4*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-5/16*b*d^3*g*m*n*x/e^3-5/16*b*g*i^3*m*n*x/j^3+3/32*b*d^2*g*m*n*x^2/e^2+3/32*b*g*i^2*m*n*x^2/j^2-7/144*b*d*g*m*n*x^3/e+1/4*x^4*a*f-1/16*x^4*a*g*m-1/16*x^4*b*f*n+(1/4*g*b*x^4*ln((j*x+i)^m)-1/48*b*(6*I*Pi*g*j^4*x^4*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-6*I*Pi*g*j^4*x^4*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-6*I*Pi*g*j^4*x^4*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+6*I*Pi*g*j^4*x^4*csgn(I*h*(j*x+i)^m)^3-12*ln(h)*g*j^4*x^4+3*g*j^4*m*x^4-12*f*j^4*x^4-4*g*i*j^3*m*x^3+6*g*i^2*j^2*m*x^2+12*g*i^4*m*ln(j*x+i)-12*g*i^3*j*m*x)/j^4)*ln((e*x+d)^n)-1/16/e/j^3*b*d*g*i^3*m*n-3/16/e^3/j*g*i*m*b*d^3*n-11/96/e^2/j^2*g*i^2*m*b*d^2*n-1/16*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^4*g*csgn(I*h*(j*x+i)^m)^3-1/8*I*Pi*x^4*b*f*csgn(I*c*(e*x+d)^n)^3-1/8*I*Pi*x^4*a*g*csgn(I*h*(j*x+i)^m)^3+1/8*I/e^3*Pi*x*b*d^3*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+1/24*I/j*Pi*x^3*b*g*i*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/8*I/j^3*Pi*x*b*g*i^3*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/4*a*g*x^4*ln((j*x+i)^m)-1/16*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^4*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/8*I*ln(c)*Pi*x^4*b*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+1/4/e^4*b*d^4*g*m*n*ln(e*x+d)*ln(((e*x+d)*j-d*j+e*i)/(-d*j+e*i))-1/16*n*b*g*ln((j*x+i)^m)*x^4+1/8*I*Pi*x^4*a*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+1/4/e/j^3*ln(e*x+d)*b*d*g*i^3*m*n+1/12/e/j^3*g*i^3*m*ln((e*x+d)*j-d*j+e*i)*b*d*n+1/4/e^3/j*g*i*m*ln((e*x+d)*j-d*j+e*i)*b*d^3*n+1/8/e^2/j^2*g*i^2*m*ln((e*x+d)*j-d*j+e*i)*b*d^2*n-1/24*I/e*Pi*x^3*b*d*g*n*csgn(I*h*(j*x+i)^m)^3+1/16*I/e^2*Pi*x^2*b*d^2*g*n*csgn(I*h*(j*x+i)^m)^3-1/8*I/e^3*Pi*x*b*d^3*g*n*csgn(I*h*(j*x+i)^m)^3+1/32*I*Pi*x^4*b*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-5/24*b*d*g*i^2*m*n*x/e/j^2-5/24*b*d^2*g*i*m*n*x/e^2/j+1/12*b*d*g*i*m*n*x^2/e/j+1/4*ln(c)*x^4*b*f+1/4*ln(h)*x^4*a*g-1/16*ln(c)*x^4*b*g*m-1/16*ln(h)*x^4*b*g*n+1/4*ln(c)*ln(h)*x^4*b*g+1/4/j^4*b*g*i^4*m*n*dilog(((j*x+i)*e+d*j-e*i)/(d*j-e*i))-1/16*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^4*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/8*I/e^3*Pi*x*b*d^3*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/24*I/e*Pi*x^3*b*d*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/16*I/e^2*Pi*x^2*b*d^2*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-205/576/e^4*b*d^4*g*m*n-1/4*a*g*m/j^4*i^4*ln(j*x+i)+1/32*I*Pi*x^4*b*g*m*csgn(I*c*(e*x+d)^n)^3+1/32*b*g*m*n*x^4-1/8*I*ln(c)*Pi*x^4*b*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/8*I/e^4*ln(e*x+d)*Pi*b*d^4*g*n*csgn(I*h*(j*x+i)^m)^3+1/16*I/j^2*Pi*x^2*b*g*i^2*m*csgn(I*c*(e*x+d)^n)^3-1/8*I*Pi*ln(h)*x^4*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/8*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*g*m/j^4*i^4*ln(j*x+i)+1/16*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^4*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/16*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^4*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+1/16*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^4*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/16*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^4*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-1/4/e^4*ln(e*x+d)*ln(h)*b*d^4*g*n+1/12/e*ln(h)*x^3*b*d*g*n-1/8/e^2*ln(h)*x^2*b*d^2*g*n-1/4*b*ln(c)*g*m/j^4*i^4*ln(j*x+i)-1/8*I/j^3*Pi*x*b*g*i^3*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/8*I/e^4*ln(e*x+d)*Pi*b*d^4*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-1/16*I/j^2*Pi*x^2*b*g*i^2*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/24*I/j*Pi*x^3*b*g*i*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/24*I/e*Pi*x^3*b*d*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/16*I/e^2*Pi*x^2*b*d^2*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-1/8*I/e^3*Pi*x*b*d^3*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/12/e*x^3*b*d*f*n-1/8/e^2*x^2*b*d^2*f*n+1/12/j*x^3*a*g*i*m-1/8/j^2*x^2*a*g*i^2*m-1/4/e^4*ln(e*x+d)*b*d^4*f*n+1/4*b*ln(c)*g*x^4*ln((j*x+i)^m)-1/16*I/j^2*Pi*x^2*b*g*i^2*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/24*I/e*Pi*x^3*b*d*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-1/16*I/e^2*Pi*x^2*b*d^2*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/12/e*n*b*g*ln((j*x+i)^m)*x^3*d-1/8/e^2*n*b*g*ln((j*x+i)^m)*x^2*d^2+1/4/e^3*n*b*g*ln((j*x+i)^m)*x*d^3-1/4/e^4*n*b*g*ln((j*x+i)^m)*d^4*ln(e*x+d)+1/16*b*d^4*g*m*n*ln(e*x+d)/e^4+1/8*b*d^2*g*i^2*m*n*ln(e*x+d)/e^2/j^2+1/12*b*d^3*g*i*m*n*ln(e*x+d)/e^3/j-1/16*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^4*g*csgn(I*h*(j*x+i)^m)^3-1/16*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^4*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-1/16*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^4*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/16*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^4*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/4/e^3*ln(h)*x*b*d^3*g*n+1/12/j*ln(c)*x^3*b*g*i*m-1/8/j^2*ln(c)*x^2*b*g*i^2*m+1/4/j^3*ln(c)*x*b*g*i^3*m-1/32*I*Pi*x^4*b*g*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/8*I*ln(c)*Pi*x^4*b*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-1/32*I*Pi*x^4*b*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-1/8*I*Pi*x^4*b*f*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-7/144*b*g*i*m*n*x^3/j+1/8*I/e^4*ln(e*x+d)*Pi*b*d^4*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/16*I/j^2*Pi*x^2*b*g*i^2*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/24*I/j*Pi*x^3*b*g*i*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/8*I*Pi*ln(h)*x^4*b*g*csgn(I*c*(e*x+d)^n)^3+1/32*I*Pi*x^4*b*g*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/24*I/j*Pi*x^3*b*g*i*m*csgn(I*c*(e*x+d)^n)^3-1/8*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g*x^4*ln((j*x+i)^m)-1/32*I*Pi*x^4*b*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/8*I*Pi*x^4*a*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/8*I*Pi*ln(h)*x^4*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/8*I*Pi*ln(h)*x^4*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2","C"
387,1,3680,512,1.756000," ","int(x^2*(b*ln(c*(e*x+d)^n)+a)*(f+g*ln(h*(j*x+i)^m)),x)","\text{output too large to display}"," ",0,"1/3*b*ln(c)*g/j^3*m*i^3*ln(j*x+i)+1/6/e*ln(h)*x^2*b*d*g*n-1/3/e^2*ln(h)*x*b*d^2*g*n+1/6/j*ln(c)*x^2*b*g*i*m-1/3/j^2*ln(c)*x*b*g*i^2*m-1/12*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^3*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/12*I/j*Pi*x^2*b*g*i*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/6*I/j^2*Pi*x*b*g*i^2*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/6*I/j^2*Pi*x*b*g*i^2*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/18*I*Pi*x^3*b*g*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/18*I*Pi*x^3*b*g*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/3*a*f*x^3-1/3*a*g*i^2*m*x/j^2-1/3*b*d^2/e^2*f*n*x+1/3*b*f*x^3*ln(c)+49/108/e^3*b*d^3*g*m*n-1/6*I*Pi*b*f*x^3*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/3/e^3*ln(e*x+d)*ln(h)*b*d^3*g*n-1/9*x^3*a*g*m+1/3*ln(h)*x^3*a*g-1/12*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^3*g*csgn(I*h*(j*x+i)^m)^3-1/6*I*Pi*x^3*a*g*csgn(I*h*(j*x+i)^m)^3-1/12*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^3*g*csgn(I*h*(j*x+i)^m)^3+1/12*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^3*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-1/6*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*g/j^3*m*i^3*ln(j*x+i)-1/6*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g*x^3*ln((j*x+i)^m)-1/6*I*Pi*ln(h)*x^3*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/6*b*d/e*f*n*x^2+1/3*b*d^3/e^3*f*n*ln(e*x+d)+2/9/e^2/j*b*d^2*g*i*m*n+1/9/e/j^2*b*d*g*i^2*m*n+1/6*I*Pi*b*f*x^3*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/6*I*Pi*b*f*x^3*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/6*I*Pi*ln(c)*x^3*b*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/12*I/j*Pi*x^2*b*g*i*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/6*I/j^2*Pi*x*b*g*i^2*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/18*I*Pi*x^3*b*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+1/6*I*Pi*ln(c)*x^3*b*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-1/18*I*Pi*x^3*b*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/6*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g*x^3*ln((j*x+i)^m)+1/6*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g*x^3*ln((j*x+i)^m)-1/12*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^3*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/3*a*g*x^3*ln((j*x+i)^m)-1/9/j^3*g*i^3*m*ln((e*x+d)*j-d*j+e*i)*b*n-1/3/e^3*b*d^3*g*m*n*dilog(((e*x+d)*j-d*j+e*i)/(-d*j+e*i))+1/6/j*x^2*a*g*i*m-1/3/j^3*b*g*i^3*m*n*ln(j*x+i)*ln(((j*x+i)*e+d*j-e*i)/(d*j-e*i))+1/12*I/e*Pi*x^2*b*d*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-1/6*I/e^2*Pi*x*b*d^2*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/12*I/e*Pi*x^2*b*d*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/3/e^2/j*g*i*m*ln((e*x+d)*j-d*j+e*i)*b*d^2*n-1/12*I/j*Pi*x^2*b*g*i*m*csgn(I*c*(e*x+d)^n)^3-1/12*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^3*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/12*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^3*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-1/12*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^3*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/12*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^3*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-1/6*I*Pi*ln(c)*x^3*b*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-1/12*I/e*Pi*x^2*b*d*g*n*csgn(I*h*(j*x+i)^m)^3+1/6*I/j^2*Pi*x*b*g*i^2*m*csgn(I*c*(e*x+d)^n)^3+1/18*I*Pi*x^3*b*g*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/3/e^3*b*d^3*g*m*n*ln(e*x+d)*ln(((e*x+d)*j-d*j+e*i)/(-d*j+e*i))+1/6*I*Pi*x^3*a*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-1/9*b*f*n*x^3+1/6*I*Pi*ln(h)*x^3*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/6*I*Pi*ln(h)*x^3*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/6*I*Pi*x^3*a*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/3*b*d*g*i*m*n*x/e/j+(1/3*g*b*x^3*ln((j*x+i)^m)+1/18*b*(-3*I*Pi*g*j^3*x^3*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+3*I*Pi*g*j^3*x^3*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+3*I*Pi*g*j^3*x^3*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-3*I*Pi*g*j^3*x^3*csgn(I*h*(j*x+i)^m)^3+6*ln(h)*g*j^3*x^3-2*g*j^3*m*x^3+6*f*j^3*x^3+3*g*i*j^2*m*x^2+6*g*i^3*m*ln(j*x+i)-6*g*i^2*j*m*x)/j^3)*ln((e*x+d)^n)-1/9*n*b*g*ln((j*x+i)^m)*x^3+1/3*b*ln(c)*g*x^3*ln((j*x+i)^m)-1/3/e/j^2*ln(e*x+d)*b*d*g*i^2*m*n-1/6/e/j^2*g*i^2*m*ln((e*x+d)*j-d*j+e*i)*b*d*n-1/6*I*Pi*ln(c)*x^3*b*g*csgn(I*h*(j*x+i)^m)^3+1/18*I*Pi*x^3*b*g*m*csgn(I*c*(e*x+d)^n)^3+1/18*I*Pi*x^3*b*g*n*csgn(I*h*(j*x+i)^m)^3+2/27*b*g*m*n*x^3+1/12*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^3*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/12*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^3*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/6*I*Pi*ln(h)*x^3*b*g*csgn(I*c*(e*x+d)^n)^3+1/3*ln(h)*ln(c)*x^3*b*g-1/9*ln(h)*x^3*b*g*n-1/9*ln(c)*x^3*b*g*m-1/6*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g/j^3*m*i^3*ln(j*x+i)+1/6*I*Pi*x^3*a*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/6*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*g*x^3*ln((j*x+i)^m)+1/3*a*g/j^3*m*i^3*ln(j*x+i)-1/9*b*d^3*g*m*n*ln(e*x+d)/e^3+1/12*I/j*Pi*x^2*b*g*i*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/6*I/e^3*ln(e*x+d)*Pi*b*d^3*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/6*I/e^3*ln(e*x+d)*Pi*b*d^3*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/6*I*Pi*b*f*x^3*csgn(I*c*(e*x+d)^n)^3-1/6*b*d^2*g*i*m*n*ln(e*x+d)/e^2/j-1/6*I/e^3*ln(e*x+d)*Pi*b*d^3*g*n*csgn(I*h*(j*x+i)^m)^3-1/3/j^3*b*g*i^3*m*n*dilog(((j*x+i)*e+d*j-e*i)/(d*j-e*i))+4/9*b*d^2*g*m*n*x/e^2+4/9*b*g*i^2*m*n*x/j^2-5/36*b*d*g*m*n*x^2/e-5/36*b*g*i*m*n*x^2/j+1/6*I/e^2*Pi*x*b*d^2*g*n*csgn(I*h*(j*x+i)^m)^3+1/18*I*Pi*x^3*b*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/12*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^3*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/12*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^3*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+1/12*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^3*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-1/12*I/e*Pi*x^2*b*d*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/6*I/e^2*Pi*x*b*d^2*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-1/6*I/e^3*ln(e*x+d)*Pi*b*d^3*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/6/e*n*b*g*ln((j*x+i)^m)*x^2*d-1/3/e^2*n*b*g*ln((j*x+i)^m)*x*d^2+1/3/e^3*n*b*g*ln((j*x+i)^m)*d^3*ln(e*x+d)+1/12*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^3*g*csgn(I*h*(j*x+i)^m)^3+1/12*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^3*g*csgn(I*h*(j*x+i)^m)^3-1/6*I/e^2*Pi*x*b*d^2*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+1/6*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g/j^3*m*i^3*ln(j*x+i)+1/6*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g/j^3*m*i^3*ln(j*x+i)","C"
388,1,3163,365,1.610000," ","int(x*(b*ln(c*(e*x+d)^n)+a)*(f+g*ln(h*(j*x+i)^m)),x)","\text{output too large to display}"," ",0,"1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*g/j^2*m*i^2*ln(j*x+i)-1/4*I*ln(c)*Pi*x^2*b*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-1/4*I/e*Pi*x*b*d*g*n*csgn(I*h*(j*x+i)^m)^3-1/4*I/j*Pi*x*b*g*i*m*csgn(I*c*(e*x+d)^n)^3-1/4*I*Pi*ln(h)*x^2*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/8*I*Pi*x^2*b*g*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/8*I*Pi*x^2*b*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/4*I/e^2*Pi*ln(e*x+d)*b*d^2*g*n*csgn(I*h*(j*x+i)^m)^3+1/2*b*f*x^2*ln(c)+1/2*a*f*x^2+1/2*a*g*x^2*ln((j*x+i)^m)+1/2*a*g*i*m*x/j+1/2*b*d/e*f*n*x-1/4*b*f*n*x^2-1/4*I/e*Pi*x*b*d*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/8*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^2*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/8*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^2*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+1/8*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^2*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/8*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^2*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g*x^2*ln((j*x+i)^m)-1/4*n*b*g*ln((j*x+i)^m)*x^2-1/8*I*Pi*x^2*b*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-1/4*I*Pi*x^2*a*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+1/4*I*Pi*ln(h)*x^2*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2-1/8*I*Pi*x^2*b*g*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/2*b*ln(c)*g*x^2*ln((j*x+i)^m)-1/4*I*Pi*b*f*x^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)-1/4*a*g*m*x^2+1/2/e^2*b*d^2*g*m*n*ln(e*x+d)*ln(((e*x+d)*j-d*j+e*i)/(-d*j+e*i))+1/2/j^2*b*g*i^2*m*n*dilog(((j*x+i)*e+d*j-e*i)/(d*j-e*i))+1/4*I/j*Pi*x*b*g*i*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/4*I/e*Pi*x*b*d*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+1/8*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^2*g*csgn(I*h*(j*x+i)^m)^3+1/8*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^2*g*csgn(I*h*(j*x+i)^m)^3+1/8*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^2*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-1/2*b*ln(c)*g/j^2*m*i^2*ln(j*x+i)+1/2/j^2*b*g*i^2*m*n*ln(j*x+i)*ln(((j*x+i)*e+d*j-e*i)/(d*j-e*i))-1/8*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^2*g*csgn(I*h*(j*x+i)^m)^3+1/8*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^2*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/4*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*g*x^2*ln((j*x+i)^m)+1/2*ln(h)*x^2*a*g-1/8*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^2*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/8*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^2*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-1/8*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x^2*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/8*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*x^2*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-1/4*I*Pi*x^2*a*g*csgn(I*h*(j*x+i)^m)^3-1/4*ln(h)*x^2*b*g*n+1/4*I*Pi*x^2*a*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-1/2*m*a*g*i^2/j^2*ln(j*x+i)-1/8*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^2*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g/j^2*m*i^2*ln(j*x+i)-1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g/j^2*m*i^2*ln(j*x+i)+1/4*I/j*Pi*x*b*g*i*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/8*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x^2*g*csgn(I*h*(j*x+i)^m)^3-1/8*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x^2*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/2/e^2*b*d^2*g*m*n*dilog(((e*x+d)*j-d*j+e*i)/(-d*j+e*i))+1/4/j^2*g*i^2*m*ln((e*x+d)*j-d*j+e*i)*b*n+1/2/e/j*ln(e*x+d)*b*d*g*i*m*n+1/2/e/j*g*i*m*ln((e*x+d)*j-d*j+e*i)*b*d*n-1/4*I/e^2*Pi*ln(e*x+d)*b*d^2*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-1/4*I/e^2*Pi*ln(e*x+d)*b*d^2*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+1/4*I/e*Pi*x*b*d*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/2*ln(c)*ln(h)*x^2*b*g-1/4*ln(c)*x^2*b*g*m-1/8*I*Pi*x^2*b*g*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/4*I*ln(c)*Pi*x^2*b*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/4*I*ln(c)*Pi*x^2*b*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+1/4*I*Pi*ln(h)*x^2*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2-1/4*I*Pi*ln(h)*x^2*b*g*csgn(I*c*(e*x+d)^n)^3+1/8*I*Pi*x^2*b*g*m*csgn(I*c*(e*x+d)^n)^3+1/8*I*Pi*x^2*b*g*n*csgn(I*h*(j*x+i)^m)^3+1/4*I*Pi*b*f*x^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2+1/4*I*Pi*b*f*x^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2+1/4*I*Pi*x^2*a*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/4*b*g*m*n*x^2-1/2*b*d^2/e^2*f*n*ln(e*x+d)-1/4*I*Pi*b*f*x^2*csgn(I*c*(e*x+d)^n)^3-1/2/e^2*n*b*g*ln((j*x+i)^m)*d^2*ln(e*x+d)+1/2/e*n*b*g*ln((j*x+i)^m)*x*d-1/4*I*ln(c)*Pi*x^2*b*g*csgn(I*h*(j*x+i)^m)^3-1/2/e^2*ln(h)*ln(e*x+d)*b*d^2*g*n+1/2/j*ln(c)*x*b*g*i*m+1/2/e*ln(h)*x*b*d*g*n-1/8*I*Pi*x^2*b*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+1/4*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g*x^2*ln((j*x+i)^m)+1/4*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g*x^2*ln((j*x+i)^m)+(1/2*g*b*x^2*ln((j*x+i)^m)-1/4*b*(I*Pi*g*j^2*x^2*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-I*Pi*g*j^2*x^2*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2-I*Pi*g*j^2*x^2*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+I*Pi*g*j^2*x^2*csgn(I*h*(j*x+i)^m)^3-2*ln(h)*g*j^2*x^2+g*j^2*m*x^2+2*g*i^2*m*ln(j*x+i)-2*f*j^2*x^2-2*g*i*j*m*x)/j^2)*ln((e*x+d)^n)-5/8/e^2*b*d^2*g*m*n+1/4*b*d^2*g*m*n*ln(e*x+d)/e^2-1/4/e/j*g*i*m*b*d*n+1/4*I/e^2*Pi*ln(e*x+d)*b*d^2*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-1/4*I/j*Pi*x*b*g*i*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)+1/4*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g/j^2*m*i^2*ln(j*x+i)-3/4*b*d*g*m*n*x/e-3/4*b*g*i*m*n*x/j","C"
389,1,2544,232,1.205000," ","int((b*ln(c*(e*x+d)^n)+a)*(f+g*ln(h*(j*x+i)^m)),x)","\text{Expression too large to display}"," ",0,"-1/j*b*g*i*m*n*ln(j*x+i)*ln(((j*x+i)*e+d*j-e*i)/(d*j-e*i))+x*a*f+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g*x*ln((j*x+i)^m)-1/2*I*Pi*b*g*m*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x-1/2*I*Pi*b*g*m*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x-1/4*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2*x-1/4*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2*x-1/4*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2*x-1/4*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2*x-1/4*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)*x-1/2*I*Pi*b*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2*x-1/2*I*Pi*b*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2*x+1/2*I*ln(c)*Pi*b*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2*x-1/2*I/e*ln(e*x+d)*Pi*b*d*g*n*csgn(I*h*(j*x+i)^m)^3+1/4*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2*x+1/4*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2*x+1/4*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)*x-1/2*I*Pi*ln(h)*b*g*csgn(I*c*(e*x+d)^n)^3*x+1/2*I*Pi*a*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2*x+1/2*I*Pi*a*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2*x+ln(c)*b*f*x+ln(h)*a*g*x-g*i*m/j*ln((e*x+d)*j-d*j+e*i)*b*n-1/e*b*d*g*m*n*dilog(((e*x+d)*j-d*j+e*i)/(-d*j+e*i))-1/e*ln(e*x+d)*b*d*g*m*n-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*g*x*ln((j*x+i)^m)-1/4*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g*csgn(I*h*(j*x+i)^m)^3*x+1/2*I*ln(c)*Pi*b*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2*x+a*g*x*ln((j*x+i)^m)+1/2*I*Pi*ln(h)*b*g*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x-1/2*I*b*Pi*csgn(I*c*(e*x+d)^n)^3*g*m/j*i*ln(j*x+i)-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g*x*ln((j*x+i)^m)-1/j*b*g*i*m*n*dilog(((j*x+i)*e+d*j-e*i)/(d*j-e*i))-1/e*b*d*g*m*n*ln(e*x+d)*ln(((e*x+d)*j-d*j+e*i)/(-d*j+e*i))+1/2*I*Pi*b*g*m*csgn(I*c*(e*x+d)^n)^3*x+1/2*I*Pi*b*g*n*csgn(I*h*(j*x+i)^m)^3*x+1/2*I*Pi*ln(h)*b*g*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x-1/2*I*Pi*a*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)*x-1/2*I*b*Pi*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g*m/j*i*ln(j*x+i)-1/2*I/e*ln(e*x+d)*Pi*b*d*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)-1/2*I*Pi*b*f*csgn(I*c*(e*x+d)^n)^3*x+(b*x*g*ln((j*x+i)^m)+1/2*b*(-I*Pi*g*j*x*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)+I*Pi*g*j*x*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+I*Pi*g*j*x*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2-I*Pi*g*j*x*csgn(I*h*(j*x+i)^m)^3+2*g*i*m*ln(j*x+i)+2*ln(h)*g*j*x-2*x*g*m*j+2*f*j*x)/j)*ln((e*x+d)^n)+1/4*b*Pi^2*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g*csgn(I*h*(j*x+i)^m)^3*x+1/4*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g*csgn(I*h*(j*x+i)^m)^3*x-1/2*I*ln(c)*Pi*b*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)*x-1/2*I*Pi*ln(h)*b*g*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x+1/2*I*Pi*b*g*m*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x+1/2*I*Pi*b*g*n*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)*x+1/2*I*Pi*b*f*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*x+a*g*m/j*i*ln(j*x+i)+1/e*b*d*g*m*n+b*f/e*n*d*ln(e*x+d)+1/2*I/e*ln(e*x+d)*Pi*b*d*g*n*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2+1/2*I/e*ln(e*x+d)*Pi*b*d*g*n*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g*m/j*i*ln(j*x+i)-n*b*g*ln((j*x+i)^m)*x+b*ln(c)*g*x*ln((j*x+i)^m)+2*b*g*m*n*x-ln(c)*b*g*m*x-ln(h)*b*g*n*x+ln(c)*ln(h)*b*g*x-1/2*I*Pi*b*f*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*x+1/2*I*b*Pi*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*g*x*ln((j*x+i)^m)+1/4*b*Pi^2*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)*x-1/2*I*ln(c)*Pi*b*g*csgn(I*h*(j*x+i)^m)^3*x+b*ln(c)*g*m/j*i*ln(j*x+i)+1/e*ln(e*x+d)*ln(h)*b*d*g*n+1/e*n*b*g*ln((j*x+i)^m)*d*ln(e*x+d)-a*g*m*x-b*f*n*x+1/4*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*g*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)^2*x+1/2*I*Pi*b*f*csgn(I*c)*csgn(I*c*(e*x+d)^n)^2*x+1/4*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*g*csgn(I*h)*csgn(I*h*(j*x+i)^m)^2*x-1/2*I*Pi*a*g*csgn(I*h*(j*x+i)^m)^3*x-1/4*b*Pi^2*csgn(I*c*(e*x+d)^n)^3*g*csgn(I*h*(j*x+i)^m)^3*x+1/2*I*b*Pi*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)^2*g*m/j*i*ln(j*x+i)-1/4*b*Pi^2*csgn(I*c)*csgn(I*(e*x+d)^n)*csgn(I*c*(e*x+d)^n)*g*csgn(I*h)*csgn(I*(j*x+i)^m)*csgn(I*h*(j*x+i)^m)*x","C"
390,0,0,633,1.527000," ","int((b*ln(c*(e*x+d)^n)+a)*(f+g*ln(h*(j*x+i)^m))/x,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right) \left(g \ln \left(h \left(j x +i \right)^{m}\right)+f \right)}{x}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)*(f+g*ln(h*(j*x+i)^m))/x,x)","F"
391,0,0,270,2.605000," ","int((b*ln(c*(e*x+d)^n)+a)*(g*ln(h*(j*x+i)^m)+f)/x^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right) \left(g \ln \left(h \left(j x +i \right)^{m}\right)+f \right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)*(g*ln(h*(j*x+i)^m)+f)/x^2,x)","F"
392,0,0,395,1.586000," ","int((b*ln(c*(e*x+d)^n)+a)*(g*ln(h*(j*x+i)^m)+f)/x^3,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right) \left(g \ln \left(h \left(j x +i \right)^{m}\right)+f \right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)*(g*ln(h*(j*x+i)^m)+f)/x^3,x)","F"
393,0,0,1156,8.620000," ","int(x*(b*ln(c*(e*x+d)^n)+a)^2*(g*ln(h*(j*x+i)^m)+f),x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} \left(g \ln \left(h \left(j x +i \right)^{m}\right)+f \right) x\, dx"," ",0,"int(x*(b*ln(c*(e*x+d)^n)+a)^2*(g*ln(h*(j*x+i)^m)+f),x)","F"
394,0,0,649,4.711000," ","int((b*ln(c*(e*x+d)^n)+a)^2*(g*ln(h*(j*x+i)^m)+f),x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} \left(g \ln \left(h \left(j x +i \right)^{m}\right)+f \right)\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2*(g*ln(h*(j*x+i)^m)+f),x)","F"
395,0,0,36,1.963000," ","int((b*ln(c*(e*x+d)^n)+a)^2*(g*ln(h*(j*x+i)^m)+f)/x,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} \left(g \ln \left(h \left(j x +i \right)^{m}\right)+f \right)}{x}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2*(g*ln(h*(j*x+i)^m)+f)/x,x)","F"
396,0,0,36,1.875000," ","int((b*ln(c*(e*x+d)^n)+a)^2*(g*ln(h*(j*x+i)^m)+f)/x^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} \left(g \ln \left(h \left(j x +i \right)^{m}\right)+f \right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^2*(g*ln(h*(j*x+i)^m)+f)/x^2,x)","F"
397,0,0,1958,4.017000," ","int(x*(b*ln(c*(e*x+d)^n)+a)^3*(g*ln(h*(j*x+i)^m)+f),x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3} \left(g \ln \left(h \left(j x +i \right)^{m}\right)+f \right) x\, dx"," ",0,"int(x*(b*ln(c*(e*x+d)^n)+a)^3*(g*ln(h*(j*x+i)^m)+f),x)","F"
398,0,0,1147,9.763000," ","int((b*ln(c*(e*x+d)^n)+a)^3*(g*ln(h*(j*x+i)^m)+f),x)","\int \left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3} \left(g \ln \left(h \left(j x +i \right)^{m}\right)+f \right)\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^3*(g*ln(h*(j*x+i)^m)+f),x)","F"
399,0,0,36,2.280000," ","int((b*ln(c*(e*x+d)^n)+a)^3*(g*ln(h*(j*x+i)^m)+f)/x,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3} \left(g \ln \left(h \left(j x +i \right)^{m}\right)+f \right)}{x}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^3*(g*ln(h*(j*x+i)^m)+f)/x,x)","F"
400,0,0,36,2.592000," ","int((b*ln(c*(e*x+d)^n)+a)^3*(g*ln(h*(j*x+i)^m)+f)/x^2,x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{3} \left(g \ln \left(h \left(j x +i \right)^{m}\right)+f \right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)^3*(g*ln(h*(j*x+i)^m)+f)/x^2,x)","F"
401,0,0,66,2.417000," ","int((b*ln(c*(e*x+d)^n)+a)*ln(e*(g*x+f)/(-d*g+e*f))/(e*x+d),x)","\int \frac{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right) \ln \left(\frac{\left(g x +f \right) e}{-d g +e f}\right)}{e x +d}\, dx"," ",0,"int((b*ln(c*(e*x+d)^n)+a)*ln(e*(g*x+f)/(-d*g+e*f))/(e*x+d),x)","F"
402,1,116,96,0.047000," ","int(ln((e*x+d)*c)*(a+b*ln((e*x+d)*c))/(e*x+d)^2,x)","-\frac{b c \ln \left(c e x +c d \right)^{2}}{\left(c e x +c d \right) e}-\frac{a c \ln \left(c e x +c d \right)}{\left(c e x +c d \right) e}-\frac{2 b c \ln \left(c e x +c d \right)}{\left(c e x +c d \right) e}-\frac{a c}{\left(c e x +c d \right) e}-\frac{2 b c}{\left(c e x +c d \right) e}"," ",0,"-c/e*a*ln(c*e*x+c*d)/(c*e*x+c*d)-c/e*a/(c*e*x+c*d)-c/e*b/(c*e*x+c*d)*ln(c*e*x+c*d)^2-2*c/e*b*ln(c*e*x+c*d)/(c*e*x+c*d)-2*c/e*b/(c*e*x+c*d)","A"
403,1,184,102,0.057000," ","int((a+b*ln((e*x+d)*c))*(f+g*ln((e*x+d)*c))/(e*x+d)^2,x)","-\frac{b c g \ln \left(c e x +c d \right)^{2}}{\left(c e x +c d \right) e}-\frac{a c g \ln \left(c e x +c d \right)}{\left(c e x +c d \right) e}-\frac{b c f \ln \left(c e x +c d \right)}{\left(c e x +c d \right) e}-\frac{2 b c g \ln \left(c e x +c d \right)}{\left(c e x +c d \right) e}-\frac{a c f}{\left(c e x +c d \right) e}-\frac{a c g}{\left(c e x +c d \right) e}-\frac{b c f}{\left(c e x +c d \right) e}-\frac{2 b c g}{\left(c e x +c d \right) e}"," ",0,"-c/e*a*f/(c*e*x+c*d)-c/e*a*g*ln(c*e*x+c*d)/(c*e*x+c*d)-c/e*a*g/(c*e*x+c*d)-c/e*b*f*ln(c*e*x+c*d)/(c*e*x+c*d)-c/e*b*f/(c*e*x+c*d)-c/e*b*g/(c*e*x+c*d)*ln(c*e*x+c*d)^2-2*c/e*b*g*ln(c*e*x+c*d)/(c*e*x+c*d)-2*c/e*b*g/(c*e*x+c*d)","A"
404,0,0,160,0.763000," ","int((a+b*ln(c*(d*(f*x+e)^m)^n))^4,x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a \right)^{4}\, dx"," ",0,"int((a+b*ln(c*(d*(f*x+e)^m)^n))^4,x)","F"
405,0,0,121,0.095000," ","int((b*ln(c*(d*(f*x+e)^m)^n)+a)^3,x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a \right)^{3}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^m)^n)+a)^3,x)","F"
406,0,0,78,0.088000," ","int((b*ln(c*(d*(f*x+e)^m)^n)+a)^2,x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a \right)^{2}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^m)^n)+a)^2,x)","F"
407,1,42,34,0.049000," ","int(b*ln(c*(d*(f*x+e)^m)^n)+a,x)","\frac{b e m n \ln \left(f x +e \right)}{f}-b m n x +b x \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a x"," ",0,"a*x+b*x*ln(c*(d*(f*x+e)^m)^n)-b*m*n*x+b*e/f*m*n*ln(f*x+e)","A"
408,0,0,84,0.068000," ","int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a),x)","\int \frac{1}{b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a),x)","F"
409,0,0,126,0.067000," ","int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a)^2,x)","\int \frac{1}{\left(b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a)^2,x)","F"
410,0,0,170,0.066000," ","int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a)^3,x)","\int \frac{1}{\left(b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a \right)^{3}}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a)^3,x)","F"
411,0,0,192,0.093000," ","int((b*ln(c*(d*(f*x+e)^m)^n)+a)^(5/2),x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a \right)^{\frac{5}{2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^m)^n)+a)^(5/2),x)","F"
412,0,0,153,0.068000," ","int((b*ln(c*(d*(f*x+e)^m)^n)+a)^(3/2),x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a \right)^{\frac{3}{2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^m)^n)+a)^(3/2),x)","F"
413,0,0,120,0.066000," ","int((b*ln(c*(d*(f*x+e)^m)^n)+a)^(1/2),x)","\int \sqrt{b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^m)^n)+a)^(1/2),x)","F"
414,0,0,89,0.070000," ","int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a)^(1/2),x)","\int \frac{1}{\sqrt{b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a}}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a)^(1/2),x)","F"
415,0,0,130,0.066000," ","int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a)^(3/2),x)","\int \frac{1}{\left(b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a)^(3/2),x)","F"
416,0,0,169,0.070000," ","int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a)^(5/2),x)","\int \frac{1}{\left(b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a)^(5/2),x)","F"
417,0,0,208,0.069000," ","int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a)^(7/2),x)","\int \frac{1}{\left(b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a \right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^m)^n)+a)^(7/2),x)","F"
418,0,0,136,0.118000," ","int((b*ln(c*(d*(f*x+e)^m)^n)+a)^p,x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{m}\right)^{n}\right)+a \right)^{p}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^m)^n)+a)^p,x)","F"
419,0,0,100,0.148000," ","int((a+b*ln(c*(d*(f*x+e)^(1/2))^(1/2)))^p,x)","\int \left(b \ln \left(\sqrt{\sqrt{f x +e}\, d}\, c \right)+a \right)^{p}\, dx"," ",0,"int((a+b*ln(c*(d*(f*x+e)^(1/2))^(1/2)))^p,x)","F"
420,0,0,146,0.791000," ","int((h*x+g)^3*(a+b*ln(c*(d*(f*x+e)^p)^q)),x)","\int \left(h x +g \right)^{3} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)\, dx"," ",0,"int((h*x+g)^3*(a+b*ln(c*(d*(f*x+e)^p)^q)),x)","F"
421,0,0,118,0.329000," ","int((h*x+g)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \left(h x +g \right)^{2} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)\, dx"," ",0,"int((h*x+g)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
422,0,0,90,0.096000," ","int((h*x+g)*(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)\, dx"," ",0,"int((h*x+g)*(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
423,1,42,34,0.050000," ","int(b*ln(c*(d*(f*x+e)^p)^q)+a,x)","\frac{b e p q \ln \left(f x +e \right)}{f}-b p q x +b x \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a x"," ",0,"a*x+b*x*ln(c*(d*(f*x+e)^p)^q)-b*p*q*x+b*q*p/f*e*ln(f*x+e)","A"
424,0,0,68,0.378000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g),x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{h x +g}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g),x)","F"
425,0,0,82,0.366000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^2,x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\left(h x +g \right)^{2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^2,x)","F"
426,0,0,114,0.365000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^3,x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\left(h x +g \right)^{3}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^3,x)","F"
427,0,0,142,0.378000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^4,x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\left(h x +g \right)^{4}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^4,x)","F"
428,0,0,391,0.361000," ","int((h*x+g)^3*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \left(h x +g \right)^{3} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}\, dx"," ",0,"int((h*x+g)^3*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
429,0,0,311,0.336000," ","int((h*x+g)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \left(h x +g \right)^{2} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}\, dx"," ",0,"int((h*x+g)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
430,0,0,205,0.102000," ","int((h*x+g)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}\, dx"," ",0,"int((h*x+g)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
431,0,0,78,0.094000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
432,0,0,123,0.367000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}{h x +g}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g),x)","F"
433,0,0,144,0.359000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^2,x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}{\left(h x +g \right)^{2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^2,x)","F"
434,0,0,219,0.350000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^3,x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}{\left(h x +g \right)^{3}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^3,x)","F"
435,0,0,478,0.343000," ","int((h*x+g)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","\int \left(h x +g \right)^{2} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}\, dx"," ",0,"int((h*x+g)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","F"
436,0,0,298,0.100000," ","int((h*x+g)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","\int \left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}\, dx"," ",0,"int((h*x+g)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","F"
437,0,0,121,0.092000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","F"
438,0,0,177,0.371000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}}{h x +g}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g),x)","F"
439,0,0,209,0.354000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g)^2,x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}}{\left(h x +g \right)^{2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g)^2,x)","F"
440,0,0,368,0.351000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g)^3,x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}}{\left(h x +g \right)^{3}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g)^3,x)","F"
441,0,0,160,0.100000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^4,x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{4}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^4,x)","F"
442,0,0,231,0.370000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^4/(h*x+g),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{4}}{h x +g}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^4/(h*x+g),x)","F"
443,0,0,274,0.351000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^4/(h*x+g)^2,x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{4}}{\left(h x +g \right)^{2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^4/(h*x+g)^2,x)","F"
444,1,36,29,0.052000," ","int(ln(c*(d*(f*x+e)^p)^q),x)","\frac{e p q \ln \left(f x +e \right)}{f}-p q x +x \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)"," ",0,"x*ln(c*(d*(f*x+e)^p)^q)-p*q*x+q*p/f*e*ln(f*x+e)","A"
445,0,0,286,0.328000," ","int((h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \frac{\left(h x +g \right)^{2}}{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}\, dx"," ",0,"int((h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
446,0,0,183,0.082000," ","int((h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \frac{h x +g}{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}\, dx"," ",0,"int((h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
447,0,0,84,0.082000," ","int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \frac{1}{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
448,0,0,30,0.378000," ","int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \frac{1}{\left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)}\, dx"," ",0,"int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
449,0,0,30,0.349000," ","int(1/(h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \frac{1}{\left(h x +g \right)^{2} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)}\, dx"," ",0,"int(1/(h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
450,0,0,333,0.333000," ","int((h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \frac{\left(h x +g \right)^{2}}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}\, dx"," ",0,"int((h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
451,0,0,228,0.082000," ","int((h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \frac{h x +g}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}\, dx"," ",0,"int((h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
452,0,0,126,0.082000," ","int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \frac{1}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
453,0,0,30,0.369000," ","int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \frac{1}{\left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
454,0,0,30,0.347000," ","int(1/(h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \frac{1}{\left(h x +g \right)^{2} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
455,0,0,431,0.329000," ","int((h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","\int \frac{\left(h x +g \right)^{2}}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}}\, dx"," ",0,"int((h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","F"
456,0,0,320,0.083000," ","int((h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","\int \frac{h x +g}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}}\, dx"," ",0,"int((h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","F"
457,0,0,170,0.082000," ","int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","\int \frac{1}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","F"
458,0,0,30,0.353000," ","int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","\int \frac{1}{\left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}}\, dx"," ",0,"int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","F"
459,0,0,30,0.352000," ","int(1/(h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","\int \frac{1}{\left(h x +g \right)^{2} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}}\, dx"," ",0,"int(1/(h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^3,x)","F"
460,0,0,427,0.337000," ","int((h*x+g)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","\int \left(h x +g \right)^{2} \sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}\, dx"," ",0,"int((h*x+g)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","F"
461,0,0,270,0.092000," ","int((h*x+g)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","\int \left(h x +g \right) \sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}\, dx"," ",0,"int((h*x+g)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","F"
462,0,0,120,0.086000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","\int \sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","F"
463,0,0,30,0.373000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2)/(h*x+g),x)","\int \frac{\sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}}{h x +g}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2)/(h*x+g),x)","F"
464,0,0,30,0.352000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2)/(h*x+g)^2,x)","\int \frac{\sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}}{\left(h x +g \right)^{2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2)/(h*x+g)^2,x)","F"
465,0,0,552,0.324000," ","int((h*x+g)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","\int \left(h x +g \right)^{2} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{3}{2}}\, dx"," ",0,"int((h*x+g)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","F"
466,0,0,347,0.092000," ","int((h*x+g)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","\int \left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{3}{2}}\, dx"," ",0,"int((h*x+g)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","F"
467,0,0,153,0.082000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{3}{2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","F"
468,0,0,30,0.378000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2)/(h*x+g),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{3}{2}}}{h x +g}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2)/(h*x+g),x)","F"
469,0,0,30,0.352000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2)/(h*x+g)^2,x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{3}{2}}}{\left(h x +g \right)^{2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2)/(h*x+g)^2,x)","F"
470,0,0,311,0.326000," ","int((h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","\int \frac{\left(h x +g \right)^{2}}{\sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}}\, dx"," ",0,"int((h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","F"
471,0,0,199,0.085000," ","int((h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","\int \frac{h x +g}{\sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}}\, dx"," ",0,"int((h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","F"
472,0,0,89,0.085000," ","int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","\int \frac{1}{\sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","F"
473,0,0,30,0.368000," ","int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","\int \frac{1}{\left(h x +g \right) \sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}}\, dx"," ",0,"int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","F"
474,0,0,359,0.333000," ","int((h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","\int \frac{\left(h x +g \right)^{2}}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","F"
475,0,0,244,0.083000," ","int((h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","\int \frac{h x +g}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","F"
476,0,0,130,0.081000," ","int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","\int \frac{1}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","F"
477,0,0,30,0.380000," ","int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","\int \frac{1}{\left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","F"
478,0,0,457,0.325000," ","int((h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(5/2),x)","\int \frac{\left(h x +g \right)^{2}}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((h*x+g)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(5/2),x)","F"
479,0,0,335,0.085000," ","int((h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(5/2),x)","\int \frac{h x +g}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int((h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(5/2),x)","F"
480,0,0,169,0.082000," ","int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(5/2),x)","\int \frac{1}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(5/2),x)","F"
481,0,0,30,0.373000," ","int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(5/2),x)","\int \frac{1}{\left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(5/2),x)","F"
482,0,0,143,0.502000," ","int((h*x+g)^(3/2)*(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \left(h x +g \right)^{\frac{3}{2}} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)\, dx"," ",0,"int((h*x+g)^(3/2)*(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
483,0,0,115,0.354000," ","int((h*x+g)^(1/2)*(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \sqrt{h x +g}\, \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)\, dx"," ",0,"int((h*x+g)^(1/2)*(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
484,1,155,89,0.085000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^(1/2),x)","\frac{4 b e p q \arctan \left(\frac{\sqrt{h x +g}\, f}{\sqrt{\left(e h -f g \right) f}}\right)}{\sqrt{\left(e h -f g \right) f}}-\frac{4 b f g p q \arctan \left(\frac{\sqrt{h x +g}\, f}{\sqrt{\left(e h -f g \right) f}}\right)}{\sqrt{\left(e h -f g \right) f}\, h}-\frac{4 \sqrt{h x +g}\, b p q}{h}+\frac{2 \sqrt{h x +g}\, b \ln \left(c \left(d \left(\frac{e h -f g +\left(h x +g \right) f}{h}\right)^{p}\right)^{q}\right)}{h}+\frac{2 \sqrt{h x +g}\, a}{h}"," ",0,"2/h*(h*x+g)^(1/2)*a+2/h*b*(h*x+g)^(1/2)*ln(c*(d*((f*(h*x+g)+e*h-f*g)/h)^p)^q)-4*b*p*q*(h*x+g)^(1/2)/h+4*b*q*p/((e*h-f*g)*f)^(1/2)*arctan((h*x+g)^(1/2)*f/((e*h-f*g)*f)^(1/2))*e-4/h*b*q*p*f/((e*h-f*g)*f)^(1/2)*arctan((h*x+g)^(1/2)*f/((e*h-f*g)*f)^(1/2))*g","A"
485,0,0,74,0.349000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^(3/2),x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\left(h x +g \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^(3/2),x)","F"
486,0,0,100,0.380000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^(5/2),x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\left(h x +g \right)^{\frac{5}{2}}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^(5/2),x)","F"
487,0,0,128,0.371000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^(7/2),x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\left(h x +g \right)^{\frac{7}{2}}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^(7/2),x)","F"
488,0,0,156,0.351000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^(9/2),x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\left(h x +g \right)^{\frac{9}{2}}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^(9/2),x)","F"
489,0,0,541,0.360000," ","int((h*x+g)^(3/2)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \left(h x +g \right)^{\frac{3}{2}} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}\, dx"," ",0,"int((h*x+g)^(3/2)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
490,0,0,461,0.349000," ","int((h*x+g)^(1/2)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \sqrt{h x +g}\, \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}\, dx"," ",0,"int((h*x+g)^(1/2)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
491,0,0,385,0.354000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^(1/2),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}{\sqrt{h x +g}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^(1/2),x)","F"
492,0,0,282,0.352000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^(3/2),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}{\left(h x +g \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^(3/2),x)","F"
493,0,0,375,0.350000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^(5/2),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}{\left(h x +g \right)^{\frac{5}{2}}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^(5/2),x)","F"
494,0,0,455,0.351000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^(7/2),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}{\left(h x +g \right)^{\frac{7}{2}}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^(7/2),x)","F"
495,0,0,535,0.380000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^(9/2),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}{\left(h x +g \right)^{\frac{9}{2}}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)^(9/2),x)","F"
496,0,0,30,0.349000," ","int((h*x+g)^(3/2)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \frac{\left(h x +g \right)^{\frac{3}{2}}}{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}\, dx"," ",0,"int((h*x+g)^(3/2)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
497,0,0,30,0.360000," ","int((h*x+g)^(1/2)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \frac{\sqrt{h x +g}}{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}\, dx"," ",0,"int((h*x+g)^(1/2)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
498,0,0,30,0.363000," ","int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^(1/2),x)","\int \frac{1}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right) \sqrt{h x +g}}\, dx"," ",0,"int(1/(b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)^(1/2),x)","F"
499,0,0,30,0.360000," ","int(1/(h*x+g)^(3/2)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \frac{1}{\left(h x +g \right)^{\frac{3}{2}} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)}\, dx"," ",0,"int(1/(h*x+g)^(3/2)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
500,0,0,30,0.358000," ","int((h*x+g)^(1/2)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","\int \sqrt{h x +g}\, \sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}\, dx"," ",0,"int((h*x+g)^(1/2)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","F"
501,0,0,30,0.353000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2)/(h*x+g)^(1/2),x)","\int \frac{\sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}}{\sqrt{h x +g}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2)/(h*x+g)^(1/2),x)","F"
502,0,0,30,0.360000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2)/(h*x+g)^(3/2),x)","\int \frac{\sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}}{\left(h x +g \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2)/(h*x+g)^(3/2),x)","F"
503,0,0,30,0.365000," ","int((h*x+g)^(1/2)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","\int \frac{\sqrt{h x +g}}{\sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}}\, dx"," ",0,"int((h*x+g)^(1/2)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","F"
504,0,0,30,0.361000," ","int(1/(h*x+g)^(1/2)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","\int \frac{1}{\sqrt{h x +g}\, \sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}}\, dx"," ",0,"int(1/(h*x+g)^(1/2)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","F"
505,0,0,30,0.362000," ","int(1/(h*x+g)^(3/2)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","\int \frac{1}{\left(h x +g \right)^{\frac{3}{2}} \sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}}\, dx"," ",0,"int(1/(h*x+g)^(3/2)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","F"
506,0,0,101,0.403000," ","int((h*x+g)^m*(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right) \left(h x +g \right)^{m}\, dx"," ",0,"int((h*x+g)^m*(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
507,0,0,30,0.360000," ","int((h*x+g)^m/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \frac{\left(h x +g \right)^{m}}{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}\, dx"," ",0,"int((h*x+g)^m/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
508,0,0,30,0.364000," ","int((h*x+g)^m/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \frac{\left(h x +g \right)^{m}}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}\, dx"," ",0,"int((h*x+g)^m/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
509,0,0,30,0.363000," ","int((h*x+g)^m*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{3}{2}} \left(h x +g \right)^{m}\, dx"," ",0,"int((h*x+g)^m*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","F"
510,0,0,30,0.359000," ","int((h*x+g)^m*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","\int \sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}\, \left(h x +g \right)^{m}\, dx"," ",0,"int((h*x+g)^m*(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","F"
511,0,0,30,0.359000," ","int((h*x+g)^m/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","\int \frac{\left(h x +g \right)^{m}}{\sqrt{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}}\, dx"," ",0,"int((h*x+g)^m/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(1/2),x)","F"
512,0,0,30,0.351000," ","int((h*x+g)^m/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","\int \frac{\left(h x +g \right)^{m}}{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int((h*x+g)^m/(b*ln(c*(d*(f*x+e)^p)^q)+a)^(3/2),x)","F"
513,0,0,30,0.493000," ","int((h*x+g)^m*(b*ln(c*(d*(f*x+e)^p)^q)+a)^n,x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{n} \left(h x +g \right)^{m}\, dx"," ",0,"int((h*x+g)^m*(b*ln(c*(d*(f*x+e)^p)^q)+a)^n,x)","F"
514,0,0,447,0.328000," ","int((h*x+g)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^n,x)","\int \left(h x +g \right)^{2} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{n}\, dx"," ",0,"int((h*x+g)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^n,x)","F"
515,0,0,291,0.142000," ","int((h*x+g)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^n,x)","\int \left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{n}\, dx"," ",0,"int((h*x+g)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^n,x)","F"
516,0,0,136,0.112000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^n,x)","\int \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{n}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^n,x)","F"
517,0,0,30,0.349000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^n/(h*x+g),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{n}}{h x +g}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^n/(h*x+g),x)","F"
518,0,0,197,0.351000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x^2+g),x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{h \,x^{2}+g}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x^2+g),x)","F"
519,0,0,313,0.387000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x^2+2)^(1/2),x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\sqrt{h \,x^{2}+2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x^2+2)^(1/2),x)","F"
520,0,0,449,0.363000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x^2+g)^(1/2),x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\sqrt{h \,x^{2}+g}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x^2+g)^(1/2),x)","F"
521,0,0,290,0.536000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(-h*x+2)^(1/2)/(h*x+2)^(1/2),x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\sqrt{-h x +2}\, \sqrt{h x +2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(-h*x+2)^(1/2)/(h*x+2)^(1/2),x)","F"
522,0,0,510,0.538000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(-h*x+g)^(1/2)/(h*x+g)^(1/2),x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\sqrt{-h x +g}\, \sqrt{h x +g}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(-h*x+g)^(1/2)/(h*x+g)^(1/2),x)","F"
523,0,0,409,0.513000," ","int((j*x+i)^3*(b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g),x)","\int \frac{\left(j x +i \right)^{3} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)}{h x +g}\, dx"," ",0,"int((j*x+i)^3*(b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g),x)","F"
524,0,0,250,0.523000," ","int((j*x+i)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g),x)","\int \frac{\left(j x +i \right)^{2} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)}{h x +g}\, dx"," ",0,"int((j*x+i)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g),x)","F"
525,0,0,129,0.357000," ","int((j*x+i)*(b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g),x)","\int \frac{\left(j x +i \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)}{h x +g}\, dx"," ",0,"int((j*x+i)*(b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g),x)","F"
526,0,0,68,0.039000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g),x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{h x +g}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g),x)","F"
527,0,0,165,0.573000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)/(j*x+i),x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\left(h x +g \right) \left(j x +i \right)}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)/(j*x+i),x)","F"
528,0,0,268,0.532000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)/(j*x+i)^2,x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\left(h x +g \right) \left(j x +i \right)^{2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)/(j*x+i)^2,x)","F"
529,0,0,417,0.525000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)/(j*x+i)^3,x)","\int \frac{b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a}{\left(h x +g \right) \left(j x +i \right)^{3}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)/(h*x+g)/(j*x+i)^3,x)","F"
530,0,0,513,0.521000," ","int((j*x+i)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g),x)","\int \frac{\left(j x +i \right)^{2} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}{h x +g}\, dx"," ",0,"int((j*x+i)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g),x)","F"
531,0,0,240,0.367000," ","int((j*x+i)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g),x)","\int \frac{\left(j x +i \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}{h x +g}\, dx"," ",0,"int((j*x+i)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g),x)","F"
532,0,0,123,0.039000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}{h x +g}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g),x)","F"
533,0,0,288,0.548000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)/(j*x+i),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}{\left(h x +g \right) \left(j x +i \right)}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)/(j*x+i),x)","F"
534,0,0,463,0.528000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)/(j*x+i)^2,x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}{\left(h x +g \right) \left(j x +i \right)^{2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^2/(h*x+g)/(j*x+i)^2,x)","F"
535,0,0,734,0.505000," ","int((j*x+i)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g),x)","\int \frac{\left(j x +i \right)^{2} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}}{h x +g}\, dx"," ",0,"int((j*x+i)^2*(b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g),x)","F"
536,0,0,349,0.365000," ","int((j*x+i)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g),x)","\int \frac{\left(j x +i \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}}{h x +g}\, dx"," ",0,"int((j*x+i)*(b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g),x)","F"
537,0,0,177,0.040000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}}{h x +g}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g),x)","F"
538,0,0,410,0.545000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g)/(j*x+i),x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}}{\left(h x +g \right) \left(j x +i \right)}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g)/(j*x+i),x)","F"
539,0,0,659,0.541000," ","int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g)/(j*x+i)^2,x)","\int \frac{\left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{3}}{\left(h x +g \right) \left(j x +i \right)^{2}}\, dx"," ",0,"int((b*ln(c*(d*(f*x+e)^p)^q)+a)^3/(h*x+g)/(j*x+i)^2,x)","F"
540,0,0,35,0.356000," ","int((j*x+i)/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \frac{j x +i}{\left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)}\, dx"," ",0,"int((j*x+i)/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
541,0,0,30,0.042000," ","int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \frac{1}{\left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)}\, dx"," ",0,"int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
542,0,0,37,0.540000," ","int(1/(h*x+g)/(j*x+i)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \frac{1}{\left(h x +g \right) \left(j x +i \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)}\, dx"," ",0,"int(1/(h*x+g)/(j*x+i)/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
543,0,0,37,0.552000," ","int(1/(h*x+g)/(j*x+i)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","\int \frac{1}{\left(h x +g \right) \left(j x +i \right)^{2} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)}\, dx"," ",0,"int(1/(h*x+g)/(j*x+i)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a),x)","F"
544,0,0,35,0.368000," ","int((j*x+i)/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \frac{j x +i}{\left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}\, dx"," ",0,"int((j*x+i)/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
545,0,0,30,0.043000," ","int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \frac{1}{\left(h x +g \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(h*x+g)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
546,0,0,37,0.530000," ","int(1/(h*x+g)/(j*x+i)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \frac{1}{\left(h x +g \right) \left(j x +i \right) \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(h*x+g)/(j*x+i)/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"
547,0,0,37,0.549000," ","int(1/(h*x+g)/(j*x+i)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","\int \frac{1}{\left(h x +g \right) \left(j x +i \right)^{2} \left(b \ln \left(c \left(d \left(f x +e \right)^{p}\right)^{q}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(h*x+g)/(j*x+i)^2/(b*ln(c*(d*(f*x+e)^p)^q)+a)^2,x)","F"