1,1,555,157,0.220000," ","int((b*ln(c*x^n)+a)/(f*x^2+e*x+d),x)","-\frac{i \pi  b \arctan \left(\frac{2 f x +e}{\sqrt{4 d f -e^{2}}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{\sqrt{4 d f -e^{2}}}+\frac{i \pi  b \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 \,x^{n}\right)^{2}}{\sqrt{4 d f -e^{2}}}+\frac{i \pi  b \arctan \left(\frac{2 f x +e}{\sqrt{4 d f -e^{2}}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\sqrt{4 d f -e^{2}}}-\frac{i \pi  b \arctan \left(\frac{2 f x +e}{\sqrt{4 d f -e^{2}}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{\sqrt{4 d f -e^{2}}}-\frac{2 b n \arctan \left(\frac{2 f x +e}{\sqrt{4 d f -e^{2}}}\right) \ln \left(x \right)}{\sqrt{4 d f -e^{2}}}+\frac{b n \ln \left(x \right) \ln \left(\frac{-2 f x -e +\sqrt{-4 d f +e^{2}}}{-e +\sqrt{-4 d f +e^{2}}}\right)}{\sqrt{-4 d f +e^{2}}}-\frac{b n \ln \left(x \right) \ln \left(\frac{2 f x +e +\sqrt{-4 d f +e^{2}}}{e +\sqrt{-4 d f +e^{2}}}\right)}{\sqrt{-4 d f +e^{2}}}+\frac{b n \dilog \left(\frac{-2 f x -e +\sqrt{-4 d f +e^{2}}}{-e +\sqrt{-4 d f +e^{2}}}\right)}{\sqrt{-4 d f +e^{2}}}-\frac{b n \dilog \left(\frac{2 f x +e +\sqrt{-4 d f +e^{2}}}{e +\sqrt{-4 d f +e^{2}}}\right)}{\sqrt{-4 d f +e^{2}}}+\frac{2 b \arctan \left(\frac{2 f x +e}{\sqrt{4 d f -e^{2}}}\right) \ln \left(c \right)}{\sqrt{4 d f -e^{2}}}+\frac{2 b \arctan \left(\frac{2 f x +e}{\sqrt{4 d f -e^{2}}}\right) \ln \left(x^{n}\right)}{\sqrt{4 d f -e^{2}}}+\frac{2 a \arctan \left(\frac{2 f x +e}{\sqrt{4 d f -e^{2}}}\right)}{\sqrt{4 d f -e^{2}}}"," ",0,"-2*b/(4*d*f-e^2)^(1/2)*arctan((2*f*x+e)/(4*d*f-e^2)^(1/2))*n*ln(x)+2*b/(4*d*f-e^2)^(1/2)*arctan((2*f*x+e)/(4*d*f-e^2)^(1/2))*ln(x^n)+b*n/(-4*d*f+e^2)^(1/2)*ln(x)*ln((-2*f*x+(-4*d*f+e^2)^(1/2)-e)/(-e+(-4*d*f+e^2)^(1/2)))-b*n/(-4*d*f+e^2)^(1/2)*ln(x)*ln((2*f*x+(-4*d*f+e^2)^(1/2)+e)/(e+(-4*d*f+e^2)^(1/2)))+b*n/(-4*d*f+e^2)^(1/2)*dilog((-2*f*x+(-4*d*f+e^2)^(1/2)-e)/(-e+(-4*d*f+e^2)^(1/2)))-b*n/(-4*d*f+e^2)^(1/2)*dilog((2*f*x+(-4*d*f+e^2)^(1/2)+e)/(e+(-4*d*f+e^2)^(1/2)))+I/(4*d*f-e^2)^(1/2)*arctan((2*f*x+e)/(4*d*f-e^2)^(1/2))*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I/(4*d*f-e^2)^(1/2)*arctan((2*f*x+e)/(4*d*f-e^2)^(1/2))*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I/(4*d*f-e^2)^(1/2)*arctan((2*f*x+e)/(4*d*f-e^2)^(1/2))*b*Pi*csgn(I*c*x^n)^3+I/(4*d*f-e^2)^(1/2)*arctan((2*f*x+e)/(4*d*f-e^2)^(1/2))*b*Pi*csgn(I*c*x^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))*b*ln(c)+2*a/(4*d*f-e^2)^(1/2)*arctan((2*f*x+e)/(4*d*f-e^2)^(1/2))","C"
2,1,1014,184,0.296000," ","int(x^3*(b*ln(c*x^n)+a)*ln(e*x+1),x)","\frac{a \,x^{3}}{12 e}+\frac{25 a}{48 e^{4}}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{24 e}-\frac{a \,x^{4}}{16}+\left(\frac{b \,x^{4} \ln \left(e x +1\right)}{4}-\frac{\left(3 e^{4} x^{4}-4 e^{3} x^{3}+6 e^{2} x^{2}-12 e x +12 \ln \left(e x +1\right)\right) b}{48 e^{4}}\right) \ln \left(x^{n}\right)-\frac{b \,x^{4} \ln \left(c \right)}{16}+\frac{b n \,x^{4}}{32}-\frac{b n \dilog \left(e x +1\right)}{4 e^{4}}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{24 e}+\frac{25 b \ln \left(c \right)}{48 e^{4}}+\frac{b \,x^{3} \ln \left(c \right)}{12 e}-\frac{b \,x^{2} \ln \left(c \right)}{8 e^{2}}-\frac{35 b n}{72 e^{4}}+\frac{b x \ln \left(c \right)}{4 e^{3}}-\frac{b \ln \left(c \right) \ln \left(e x +1\right)}{4 e^{4}}+\frac{b \,x^{4} \ln \left(c \right) \ln \left(e x +1\right)}{4}+\frac{a \,x^{4} \ln \left(e x +1\right)}{4}-\frac{a \,x^{2}}{8 e^{2}}-\frac{a \ln \left(e x +1\right)}{4 e^{4}}+\frac{a x}{4 e^{3}}-\frac{7 b n \,x^{3}}{144 e}+\frac{3 b n \,x^{2}}{32 e^{2}}-\frac{5 b n x}{16 e^{3}}-\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{8}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16 e^{2}}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{8 e^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{8 e^{4}}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{24 e}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{24 e}-\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{32}-\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{32}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 e^{2}}-\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 e^{3}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{8 e^{4}}+\frac{25 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{96 e^{4}}+\frac{25 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{96 e^{4}}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{8}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{8}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{32}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 e^{2}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 e^{2}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 e^{3}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 e^{3}}-\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{8}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{8 e^{4}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{8 e^{4}}-\frac{25 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{96 e^{4}}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{32}-\frac{25 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{96 e^{4}}+\frac{b n \ln \left(e x +1\right)}{16 e^{4}}-\frac{b n \,x^{4} \ln \left(e x +1\right)}{16}"," ",0,"1/12*a/e*x^3+25/48*a/e^4-1/16*a*x^4+(1/4*b*x^4*ln(e*x+1)-1/48*b*(3*e^4*x^4-4*e^3*x^3+6*e^2*x^2-12*e*x+12*ln(e*x+1))/e^4)*ln(x^n)+25/96*I/e^4*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+25/96*I/e^4*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-1/16*ln(c)*b*x^4+1/32*b*n*x^4+25/48/e^4*b*ln(c)+1/12*b/e*x^3*ln(c)-1/8*b/e^2*x^2*ln(c)-35/72*b*n/e^4+1/4*b/e^3*x*ln(c)-1/4/e^4*ln(e*x+1)*b*ln(c)+1/4*b*ln(c)*ln(e*x+1)*x^4+1/4*a*ln(e*x+1)*x^4-1/8*a/e^2*x^2-1/4*a/e^4*ln(e*x+1)+1/4*a/e^3*x+1/32*I*Pi*b*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/24*I/e*x^3*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(e*x+1)*x^4-1/8*I/e^4*ln(e*x+1)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-7/144*b/e*n*x^3+3/32*b/e^2*n*x^2-5/16*b/e^3*n*x+1/8*I/e^4*ln(e*x+1)*Pi*b*csgn(I*c*x^n)^3-1/8*I*Pi*b*csgn(I*c*x^n)^3*ln(e*x+1)*x^4-1/8*I/e^4*ln(e*x+1)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-25/96*I/e^4*Pi*b*csgn(I*c*x^n)^3+1/32*I*Pi*b*x^4*csgn(I*c*x^n)^3-1/8*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(e*x+1)*x^4+1/8*I/e^4*ln(e*x+1)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/24*I/e*x^3*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/16*I/e^2*x^2*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*b*n/e^4*dilog(e*x+1)-1/8*I/e^3*x*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/24*I/e*x^3*Pi*b*csgn(I*c*x^n)^3+1/16*I/e^2*x^2*Pi*b*csgn(I*c*x^n)^3-1/8*I/e^3*x*Pi*b*csgn(I*c*x^n)^3-1/32*I*Pi*b*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1/32*I*Pi*b*x^4*csgn(I*c*x^n)^2*csgn(I*c)+1/8*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(e*x+1)*x^4-25/96*I/e^4*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/24*I/e*x^3*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+1/8*I/e^3*x*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-1/16*I/e^2*x^2*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/16*b*n*ln(e*x+1)/e^4-1/16*b*n*x^4*ln(e*x+1)-1/16*I/e^2*x^2*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+1/8*I/e^3*x*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2","C"
3,1,870,156,0.294000," ","int(x^2*(b*ln(c*x^n)+a)*ln(e*x+1),x)","-\frac{11 a}{18 e^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{6 e^{3}}-\frac{a \,x^{3}}{9}+\left(\frac{b \,x^{3} \ln \left(e x +1\right)}{3}+\frac{\left(-2 e^{3} x^{3}+3 e^{2} x^{2}-6 e x +6 \ln \left(e x +1\right)\right) b}{18 e^{3}}\right) \ln \left(x^{n}\right)+\frac{b n \dilog \left(e x +1\right)}{3 e^{3}}-\frac{b \,x^{3} \ln \left(c \right)}{9}+\frac{a \,x^{2}}{6 e}+\frac{2 b n \,x^{3}}{27}+\frac{b \,x^{3} \ln \left(c \right) \ln \left(e x +1\right)}{3}+\frac{71 b n}{108 e^{3}}+\frac{b \,x^{2} \ln \left(c \right)}{6 e}+\frac{b \ln \left(c \right) \ln \left(e x +1\right)}{3 e^{3}}+\frac{a \,x^{3} \ln \left(e x +1\right)}{3}-\frac{b x \ln \left(c \right)}{3 e^{2}}-\frac{11 b \ln \left(c \right)}{18 e^{3}}+\frac{a \ln \left(e x +1\right)}{3 e^{3}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{12 e}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{6}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 e}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 e}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{6}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{6}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{18}+\frac{4 b n x}{9 e^{2}}-\frac{5 b n \,x^{2}}{36 e}-\frac{a x}{3 e^{2}}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 e^{2}}-\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 e^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{6 e^{3}}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{18}+\frac{11 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{36 e^{3}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6 e^{2}}-\frac{11 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{36 e^{3}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12 e}+\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 e^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{6 e^{3}}-\frac{11 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{36 e^{3}}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{6}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{18}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{18}-\frac{b n \ln \left(e x +1\right)}{9 e^{3}}-\frac{b n \,x^{3} \ln \left(e x +1\right)}{9}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{6 e^{3}}+\frac{11 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{36 e^{3}}"," ",0,"-11/18*a/e^3-1/9*a*x^3+(1/3*b*x^3*ln(e*x+1)+1/18*b*(-2*e^3*x^3+3*e^2*x^2-6*e*x+6*ln(e*x+1))/e^3)*ln(x^n)-1/9*ln(c)*b*x^3+1/6*a/e*x^2+2/27*b*n*x^3+1/3*b*ln(c)*ln(e*x+1)*x^3+71/108/e^3*b*n+1/6*b/e*x^2*ln(c)+1/3/e^3*ln(e*x+1)*b*ln(c)+1/3/e^3*b*n*dilog(e*x+1)+1/3*x^3*ln(e*x+1)*a-1/3*b/e^2*x*ln(c)-11/18/e^3*b*ln(c)+1/3*a/e^3*ln(e*x+1)+1/18*I*Pi*b*x^3*csgn(I*c*x^n)^3+11/36*I/e^3*Pi*b*csgn(I*c*x^n)^3+4/9*b/e^2*n*x-5/36*b/e*n*x^2-1/3*a/e^2*x-1/6*I/e^2*x*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/6*I/e^2*x*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+1/6*I/e^3*ln(e*x+1)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I/e^3*ln(e*x+1)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+1/6*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(e*x+1)*x^3+1/6*I/e^2*x*Pi*b*csgn(I*c*x^n)^3-1/6*I/e^3*ln(e*x+1)*Pi*b*csgn(I*c*x^n)^3-1/18*I*Pi*b*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-1/18*I*Pi*b*x^3*csgn(I*c*x^n)^2*csgn(I*c)-1/12*I/e*x^2*Pi*b*csgn(I*c*x^n)^3-1/6*I*Pi*b*csgn(I*c*x^n)^3*ln(e*x+1)*x^3+1/6*I/e^2*x*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6*I/e^3*ln(e*x+1)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(e*x+1)*x^3-1/12*I/e*x^2*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-11/36*I/e^3*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-11/36*I/e^3*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+1/6*I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(e*x+1)*x^3+1/18*I*Pi*b*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/12*I/e*x^2*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/12*I/e*x^2*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+11/36*I/e^3*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/9*b*n*ln(e*x+1)/e^3-1/9*b*n*x^3*ln(e*x+1)","C"
4,1,725,128,0.293000," ","int(x*(b*ln(c*x^n)+a)*ln(e*x+1),x)","\frac{3 a}{4 e^{2}}-\frac{a \,x^{2}}{4}+\left(\frac{b \,x^{2} \ln \left(e x +1\right)}{2}-\frac{\left(e^{2} x^{2}-2 e x +2 \ln \left(e x +1\right)\right) b}{4 e^{2}}\right) \ln \left(x^{n}\right)-\frac{b n \dilog \left(e x +1\right)}{2 e^{2}}-\frac{b n}{e^{2}}-\frac{b \,x^{2} \ln \left(c \right)}{4}+\frac{b n \,x^{2}}{4}+\frac{b x \ln \left(c \right)}{2 e}-\frac{b \ln \left(c \right) \ln \left(e x +1\right)}{2 e^{2}}+\frac{3 b \ln \left(c \right)}{4 e^{2}}-\frac{a \ln \left(e x +1\right)}{2 e^{2}}+\frac{a \,x^{2} \ln \left(e x +1\right)}{2}+\frac{b \,x^{2} \ln \left(c \right) \ln \left(e x +1\right)}{2}-\frac{3 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 e^{2}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{4}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 e}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{4 e^{2}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{4}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 e}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{4 e^{2}}+\frac{3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 e^{2}}+\frac{3 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 e^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{4 e^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{4 e^{2}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{4}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{4}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{8}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e}-\frac{3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{8 e^{2}}+\frac{a x}{2 e}-\frac{3 b n x}{4 e}+\frac{b n \ln \left(e x +1\right)}{4 e^{2}}-\frac{b n \,x^{2} \ln \left(e x +1\right)}{4}"," ",0,"3/4*a/e^2-1/4*a*x^2+(1/2*b*x^2*ln(e*x+1)-1/4*b*(e^2*x^2-2*e*x+2*ln(e*x+1))/e^2)*ln(x^n)-1/e^2*b*n-1/4*ln(c)*b*x^2+1/4*b*n*x^2+1/2*b/e*x*ln(c)-1/2/e^2*ln(e*x+1)*b*ln(c)-1/2/e^2*b*n*dilog(e*x+1)+3/4/e^2*b*ln(c)-1/2*a/e^2*ln(e*x+1)+1/2*x^2*ln(e*x+1)*a+1/2*b*ln(c)*ln(e*x+1)*x^2+1/4*I/e*x*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(e*x+1)*x^2+1/4*I/e^2*ln(e*x+1)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I/e*x*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3/8*I/e^2*Pi*b*csgn(I*c*x^n)^3+1/8*I*Pi*b*x^2*csgn(I*c*x^n)^3+1/8*I*Pi*b*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(e*x+1)*x^2+1/4*I/e*x*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I/e^2*ln(e*x+1)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+3/8*I/e^2*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I*Pi*b*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(e*x+1)*x^2+1/4*I/e^2*ln(e*x+1)*Pi*b*csgn(I*c*x^n)^3-1/4*I/e*x*Pi*b*csgn(I*c*x^n)^3-1/4*I*Pi*b*csgn(I*c*x^n)^3*ln(e*x+1)*x^2+3/8*I/e^2*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*I*Pi*b*x^2*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I/e^2*ln(e*x+1)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-3/8*I/e^2*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*a/e*x-3/4*b/e*n*x+1/4*b*n*ln(e*x+1)/e^2-1/4*b*n*x^2*ln(e*x+1)","C"
5,1,557,74,0.252000," ","int((b*ln(c*x^n)+a)*ln(e*x+1),x)","-\frac{b n \ln \left(e x +1\right)}{e}-\frac{a}{e}-a x +\left(b x \ln \left(e x +1\right)+\frac{\left(-e x +\ln \left(e x +1\right)\right) b}{e}\right) \ln \left(x^{n}\right)+\frac{2 b n}{e}-b x \ln \left(c \right)+\frac{b n \dilog \left(e x +1\right)}{e}+2 b n x +\frac{a \ln \left(e x +1\right)}{e}-\frac{b \ln \left(c \right)}{e}+\frac{b \ln \left(c \right) \ln \left(e x +1\right)}{e}+b x \ln \left(c \right) \ln \left(e x +1\right)-b n x \ln \left(e x +1\right)+a x \ln \left(e x +1\right)+\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 e}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{2}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{2 e}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{2 e}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{2 e}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 e}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e}-\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{2}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{2 e}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e}"," ",0,"-1/e*b*n*ln(e*x+1)-a/e-a*x+(b*x*ln(e*x+1)+b*(-e*x+ln(e*x+1))/e)*ln(x^n)+2/e*b*n-1/2*I/e*ln(e*x+1)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-b*x*ln(c)+1/2*I/e*Pi*b*csgn(I*c*x^n)^3+2*b*n*x+a/e*ln(e*x+1)-1/e*b*ln(c)+1/e*b*n*dilog(e*x+1)+1/e*ln(e*x+1)*b*ln(c)+ln(e*x+1)*ln(c)*x*b-n*b*x*ln(e*x+1)+x*ln(e*x+1)*a-1/2*I*ln(e*x+1)*Pi*x*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*Pi*b*csgn(I*c*x^n)^3*x+1/2*I/e*ln(e*x+1)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I/e*ln(e*x+1)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x+1/2*I/e*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*ln(e*x+1)*Pi*x*b*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*ln(e*x+1)*Pi*x*b*csgn(I*c*x^n)^3+1/2*I*ln(e*x+1)*Pi*x*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*x-1/2*I/e*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I/e*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*x-1/2*I/e*ln(e*x+1)*Pi*b*csgn(I*c*x^n)^3","C"
6,0,0,28,0.447000," ","int((b*ln(c*x^n)+a)*ln(e*x+1)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(e x +1\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(e*x+1)/x,x)","F"
7,1,481,105,0.245000," ","int((b*ln(c*x^n)+a)*ln(e*x+1)/x^2,x)","-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x \right)}{2}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{2}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x \right)}{2}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{2}+\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x \right)}{2}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{2}-\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x \right)}{2}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{2}-\frac{b e n \ln \left(x \right)^{2}}{2}-b e n \dilog \left(e x +1\right)+b e n \ln \left(e x \right)-b e n \ln \left(e x +1\right)+b e \ln \left(c \right) \ln \left(e x \right)-b e \ln \left(c \right) \ln \left(e x +1\right)+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{2 x}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{2 x}+a e \ln \left(e x \right)-a e \ln \left(e x +1\right)-\frac{b n \ln \left(e x +1\right)}{x}-\frac{b \ln \left(c \right) \ln \left(e x +1\right)}{x}-\frac{a \ln \left(e x +1\right)}{x}+\left(b e \ln \left(x \right)-b e \ln \left(e x +1\right)-\frac{b \ln \left(e x +1\right)}{x}\right) \ln \left(x^{n}\right)"," ",0,"(-b/x*ln(e*x+1)+b*e*ln(x)-b*e*ln(e*x+1))*ln(x^n)-1/2*b*e*n*ln(x)^2-e*b*n*dilog(e*x+1)+n*b*e*ln(e*x)-b*e*n*ln(e*x+1)-b*n*ln(e*x+1)/x+1/2*I*e*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(e*x)-1/2*I*e*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(e*x)-1/2*I*e*Pi*b*csgn(I*c*x^n)^3*ln(e*x)-1/2*I*e*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(e*x+1)-1/2*I*e*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(e*x+1)+1/2*I*e*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(e*x)+1/2*I*Pi*b*csgn(I*c*x^n)^3*ln(e*x+1)/x-1/2*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(e*x+1)/x-1/2*I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(e*x+1)/x+1/2*I*e*Pi*b*csgn(I*c*x^n)^3*ln(e*x+1)+1/2*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(e*x+1)/x+1/2*I*e*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(e*x+1)+e*b*ln(c)*ln(e*x)-e*b*ln(c)*ln(e*x+1)-b*ln(c)*ln(e*x+1)/x+a*e*ln(e*x)-a*e*ln(e*x+1)-ln(e*x+1)/x*a","C"
8,1,647,143,0.250000," ","int((b*ln(c*x^n)+a)*ln(e*x+1)/x^3,x)","\left(\frac{\left(-e x \ln \left(x \right)+e x \ln \left(e x +1\right)-1\right) b e}{2 x}-\frac{b \ln \left(e x +1\right)}{2 x^{2}}\right) \ln \left(x^{n}\right)+\frac{b \,e^{2} n \dilog \left(e x +1\right)}{2}-\frac{b \ln \left(c \right) \ln \left(e x +1\right)}{2 x^{2}}-\frac{a \ln \left(e x +1\right)}{2 x^{2}}-\frac{a \,e^{2} \ln \left(e x \right)}{2}-\frac{a e}{2 x}+\frac{a \,e^{2} \ln \left(e x +1\right)}{2}-\frac{b \,e^{2} n \ln \left(e x \right)}{4}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 x}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x \right)}{4}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{4}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{4 x^{2}}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x \right)}{4}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{4}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x \right)}{4}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{4}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 x}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{4 x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{4 x^{2}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x \right)}{4}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{4}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 x}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{4 x^{2}}-\frac{b e \ln \left(c \right)}{2 x}+\frac{b \,e^{2} n \ln \left(x \right)^{2}}{4}-\frac{b \,e^{2} \ln \left(c \right) \ln \left(e x \right)}{2}-\frac{3 b e n}{4 x}+\frac{b \,e^{2} n \ln \left(e x +1\right)}{4}-\frac{b n \ln \left(e x +1\right)}{4 x^{2}}+\frac{b \,e^{2} \ln \left(c \right) \ln \left(e x +1\right)}{2}"," ",0,"(-1/2*b/x^2*ln(e*x+1)+1/2*b*e*(e*ln(e*x+1)*x-e*x*ln(x)-1)/x)*ln(x^n)-1/2*b*ln(c)*ln(e*x+1)/x^2+1/2*b*e^2*n*dilog(e*x+1)-1/2*ln(e*x+1)/x^2*a-1/2*a*e^2*ln(e*x)-1/2*a*e/x+1/2*a*e^2*ln(e*x+1)-1/4*n*b*e^2*ln(e*x)-1/4*I*e*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2/x-1/4*I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(e*x+1)/x^2+1/4*I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*e^2*ln(e*x+1)-1/4*I*e*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)/x+1/4*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2*ln(e*x+1)-1/4*I*e^2*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(e*x)-1/4*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(e*x+1)/x^2-1/4*I*e^2*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(e*x)+1/4*I*e*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/x-1/4*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2*ln(e*x+1)+1/4*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(e*x+1)/x^2+1/4*I*e^2*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(e*x)+1/4*I*e*Pi*b*csgn(I*c*x^n)^3/x-1/4*I*Pi*b*csgn(I*c*x^n)^3*e^2*ln(e*x+1)+1/4*I*e^2*Pi*b*csgn(I*c*x^n)^3*ln(e*x)+1/4*I*Pi*b*csgn(I*c*x^n)^3*ln(e*x+1)/x^2-1/2*e*b*ln(c)/x+1/4*b*e^2*n*ln(x)^2-1/2*e^2*b*ln(c)*ln(e*x)-3/4*b*e*n/x+1/4*b*e^2*n*ln(e*x+1)-1/4*b*n*ln(e*x+1)/x^2+1/2*b*ln(c)*e^2*ln(e*x+1)","C"
9,1,796,171,0.254000," ","int((b*ln(c*x^n)+a)*ln(e*x+1)/x^4,x)","\left(-\frac{\left(-2 e^{2} x^{2} \ln \left(x \right)+2 e^{2} x^{2} \ln \left(e x +1\right)-2 e x +1\right) b e}{6 x^{2}}-\frac{b \ln \left(e x +1\right)}{3 x^{3}}\right) \ln \left(x^{n}\right)-\frac{b \,e^{3} n \dilog \left(e x +1\right)}{3}+\frac{b \,e^{3} \ln \left(c \right) \ln \left(e x \right)}{3}-\frac{b \ln \left(c \right) \ln \left(e x +1\right)}{3 x^{3}}+\frac{b \,e^{2} \ln \left(c \right)}{3 x}-\frac{b e \ln \left(c \right)}{6 x^{2}}-\frac{b \,e^{3} \ln \left(c \right) \ln \left(e x +1\right)}{3}+\frac{b \,e^{3} n \ln \left(e x \right)}{9}-\frac{a \ln \left(e x +1\right)}{3 x^{3}}+\frac{a \,e^{3} \ln \left(e x \right)}{3}+\frac{a \,e^{2}}{3 x}-\frac{a e}{6 x^{2}}-\frac{a \,e^{3} \ln \left(e x +1\right)}{3}-\frac{5 b e n}{36 x^{2}}-\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x \right)}{6}+\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{6}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6 x}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{12 x^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(e x +1\right)}{6 x^{3}}-\frac{b \,e^{3} n \ln \left(x \right)^{2}}{6}+\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x \right)}{6}-\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{6}-\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x \right)}{6}+\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{6}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 x}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12 x^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +1\right)}{6 x^{3}}+\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x \right)}{6}-\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{6}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 x}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 x}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 x^{2}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{6 x^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +1\right)}{6 x^{3}}+\frac{4 b \,e^{2} n}{9 x}-\frac{b \,e^{3} n \ln \left(e x +1\right)}{9}-\frac{b n \ln \left(e x +1\right)}{9 x^{3}}"," ",0,"-1/6*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/x+(-1/3*b/x^3*ln(e*x+1)-1/6*b*e*(2*e^2*ln(e*x+1)*x^2-2*e^2*x^2*ln(x)-2*e*x+1)/x^2)*ln(x^n)+1/3*e^3*b*ln(c)*ln(e*x)-1/3*b*ln(c)*ln(e*x+1)/x^3+1/3*b*ln(c)*e^2/x-1/6*e*b*ln(c)/x^2-1/3*b*ln(c)*e^3*ln(e*x+1)+1/9*n*e^3*b*ln(e*x)-1/3*b*e^3*n*dilog(e*x+1)+1/12*I*e*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/x^2-1/3*ln(e*x+1)/x^3*a+1/3*a*e^3*ln(e*x)+1/3*a*e^2/x-1/6*a*e/x^2-1/3*a*e^3*ln(e*x+1)+1/6*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^3*ln(e*x+1)-5/36*b*e*n/x^2+1/6*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(e*x+1)/x^3-1/6*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(e*x+1)/x^3+1/6*I*e^3*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(e*x)-1/6*I*e^3*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(e*x)-1/6*I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*e^3*ln(e*x+1)-1/6*I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(e*x+1)/x^3+1/6*I*e^3*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(e*x)-1/12*I*e*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)/x^2+1/6*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/x-1/6*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*e^3*ln(e*x+1)-1/12*I*e*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2/x^2+1/6*I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*e^2/x+1/12*I*e*Pi*b*csgn(I*c*x^n)^3/x^2-1/6*I*Pi*b*csgn(I*c*x^n)^3*e^2/x+1/6*I*Pi*b*csgn(I*c*x^n)^3*e^3*ln(e*x+1)+1/6*I*Pi*b*csgn(I*c*x^n)^3*ln(e*x+1)/x^3-1/6*I*e^3*Pi*b*csgn(I*c*x^n)^3*ln(e*x)-1/6*b*e^3*n*ln(x)^2+4/9*b*e^2*n/x-1/9*b*e^3*n*ln(e*x+1)-1/9*b*n*ln(e*x+1)/x^3","C"
10,0,0,410,0.571000," ","int(x^3*(b*ln(c*x^n)+a)^2*ln(e*x+1),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{3} \ln \left(e x +1\right)\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)^2*ln(e*x+1),x)","F"
11,0,0,356,0.513000," ","int(x^2*(b*ln(c*x^n)+a)^2*ln(e*x+1),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{2} \ln \left(e x +1\right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)^2*ln(e*x+1),x)","F"
12,0,0,301,0.665000," ","int(x*(b*ln(c*x^n)+a)^2*ln(e*x+1),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x \ln \left(e x +1\right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^2*ln(e*x+1),x)","F"
13,0,0,193,0.570000," ","int((b*ln(c*x^n)+a)^2*ln(e*x+1),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(e x +1\right)\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(e*x+1),x)","F"
14,0,0,55,0.468000," ","int((b*ln(c*x^n)+a)^2*ln(e*x+1)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(e x +1\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(e*x+1)/x,x)","F"
15,0,0,203,0.473000," ","int((b*ln(c*x^n)+a)^2*ln(e*x+1)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(e x +1\right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(e*x+1)/x^2,x)","F"
16,0,0,265,0.530000," ","int((b*ln(c*x^n)+a)^2*ln(e*x+1)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(e x +1\right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(e*x+1)/x^3,x)","F"
17,0,0,646,0.515000," ","int(x^3*(b*ln(c*x^n)+a)^3*ln(e*x+1),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x^{3} \ln \left(e x +1\right)\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)^3*ln(e*x+1),x)","F"
18,0,0,565,0.514000," ","int(x^2*(b*ln(c*x^n)+a)^3*ln(e*x+1),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x^{2} \ln \left(e x +1\right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)^3*ln(e*x+1),x)","F"
19,0,0,486,0.512000," ","int(x*(b*ln(c*x^n)+a)^3*ln(e*x+1),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x \ln \left(e x +1\right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^3*ln(e*x+1),x)","F"
20,0,0,327,0.646000," ","int((b*ln(c*x^n)+a)^3*ln(e*x+1),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(e x +1\right)\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln(e*x+1),x)","F"
21,0,0,81,0.367000," ","int((b*ln(c*x^n)+a)^3*ln(e*x+1)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(e x +1\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln(e*x+1)/x,x)","F"
22,0,0,342,0.467000," ","int((b*ln(c*x^n)+a)^3*ln(e*x+1)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(e x +1\right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln(e*x+1)/x^2,x)","F"
23,0,0,436,0.509000," ","int((b*ln(c*x^n)+a)^3*ln(e*x+1)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(e x +1\right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln(e*x+1)/x^3,x)","F"
24,1,827,162,0.310000," ","int(x^3*(b*ln(c*x^n)+a)*ln(d*(1/d+f*x^2)),x)","\left(\frac{b \,x^{4} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{4}-\frac{\left(d^{2} f^{2} x^{4}-2 d f \,x^{2}+2 \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)\right) b}{8 d^{2} f^{2}}\right) \ln \left(x^{n}\right)-\frac{a \,x^{4}}{8}+\frac{b \,x^{4} \ln \left(c \right) \ln \left(d f \,x^{2}+1\right)}{4}+\frac{a \,x^{2}}{4 d f}-\frac{a \ln \left(d f \,x^{2}+1\right)}{4 d^{2} f^{2}}-\frac{b \,x^{4} \ln \left(c \right)}{8}+\frac{a \,x^{4} \ln \left(d f \,x^{2}+1\right)}{4}+\frac{b n \,x^{4}}{16}+\frac{b n \ln \left(d f \,x^{2}+1\right)}{16 d^{2} f^{2}}+\frac{b n \ln \left(x \right) \ln \left(d f \,x^{2}+1\right)}{4 d^{2} f^{2}}-\frac{b \ln \left(c \right) \ln \left(d f \,x^{2}+1\right)}{4 d^{2} f^{2}}+\frac{b \,x^{2} \ln \left(c \right)}{4 d f}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16}-\frac{b n \dilog \left(-\sqrt{-d f}\, x +1\right)}{4 d^{2} f^{2}}-\frac{b n \dilog \left(\sqrt{-d f}\, x +1\right)}{4 d^{2} f^{2}}-\frac{b n \ln \left(x \right) \ln \left(\sqrt{-d f}\, x +1\right)}{4 d^{2} f^{2}}-\frac{b n \ln \left(x \right) \ln \left(-\sqrt{-d f}\, x +1\right)}{4 d^{2} f^{2}}-\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(d f \,x^{2}+1\right)}{8}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 d f}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 d f}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d f \,x^{2}+1\right)}{8 d^{2} f^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d f \,x^{2}+1\right)}{8 d^{2} f^{2}}-\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}-\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}-\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d f \,x^{2}+1\right)}{8}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d f \,x^{2}+1\right)}{8}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 d f}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d f \,x^{2}+1\right)}{8 d^{2} f^{2}}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d f \,x^{2}+1\right)}{8}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{8 d f}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(d f \,x^{2}+1\right)}{8 d^{2} f^{2}}-\frac{b n \,x^{4} \ln \left(d f \,x^{2}+1\right)}{16}-\frac{3 b n \,x^{2}}{16 d f}"," ",0,"(1/4*b*x^4*ln(d*(1/d+f*x^2))-1/8*b*(d^2*f^2*x^4-2*d*f*x^2+2*ln(d*(1/d+f*x^2)))/d^2/f^2)*ln(x^n)-1/8*a*x^4+1/4*b*ln(c)*x^4*ln(d*f*x^2+1)+1/4*a/d/f*x^2-1/4*a/d^2/f^2*ln(d*f*x^2+1)-1/8*b*x^4*ln(c)+1/4*a*x^4*ln(d*f*x^2+1)+1/16*b*n*x^4+1/16*b*n*ln(d*f*x^2+1)/d^2/f^2-1/8*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^4*ln(d*f*x^2+1)+1/4*n*b/d^2/f^2*ln(x)*ln(d*f*x^2+1)-1/4/d^2/f^2*b*n*dilog(1-x*(-d*f)^(1/2))-1/4/d^2/f^2*b*n*dilog(1+x*(-d*f)^(1/2))-1/4/d^2/f^2*ln(d*f*x^2+1)*b*ln(c)+1/4/d/f*x^2*b*ln(c)-1/8*I/d^2/f^2*ln(d*f*x^2+1)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+1/8*I/d/f*x^2*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*I/d^2/f^2*ln(d*f*x^2+1)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*I/d/f*x^2*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/16*I*Pi*b*x^4*csgn(I*c*x^n)^3-1/4/d^2/f^2*b*n*ln(x)*ln(1+x*(-d*f)^(1/2))-1/4/d^2/f^2*b*n*ln(x)*ln(1-x*(-d*f)^(1/2))-1/8*I*Pi*b*csgn(I*c*x^n)^3*x^4*ln(d*f*x^2+1)-1/16*I*Pi*b*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1/16*I*Pi*b*x^4*csgn(I*c*x^n)^2*csgn(I*c)-1/8*I/d/f*x^2*Pi*b*csgn(I*c*x^n)^3+1/16*I*Pi*b*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*x^4*ln(d*f*x^2+1)+1/8*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*x^4*ln(d*f*x^2+1)-1/8*I/d/f*x^2*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I/d^2/f^2*ln(d*f*x^2+1)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I/d^2/f^2*ln(d*f*x^2+1)*Pi*b*csgn(I*c*x^n)^3-1/16*b*n*x^4*ln(d*f*x^2+1)-3/16*b*n*x^2/d/f","C"
25,1,820,104,0.268000," ","int(x*(b*ln(c*x^n)+a)*ln((f*x^2+1/d)*d),x)","-\frac{b n \ln \left(d f \,x^{2}+1\right)}{4 d f}-\frac{a}{2 d f}-\frac{a \,x^{2}}{2}-\frac{b n \,x^{2} \ln \left(d f \,x^{2}+1\right)}{4}-\frac{b \ln \left(c \right)}{2 d f}+\frac{b \,x^{2} \ln \left(c \right) \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{2}+\left(\frac{b \,x^{2} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{2}+\frac{\left(-d f \,x^{2}+\ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)\right) b}{2 d f}\right) \ln \left(x^{n}\right)+\frac{a \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{2 d f}-\frac{b \,x^{2} \ln \left(c \right)}{2}+\frac{b n \,x^{2}}{2}+\frac{a \,x^{2} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{2}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{4}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{4 d f}+\frac{b n \dilog \left(\sqrt{-d f}\, x +1\right)}{2 d f}+\frac{b n \dilog \left(-\sqrt{-d f}\, x +1\right)}{2 d f}+\frac{b n \ln \left(x \right) \ln \left(\sqrt{-d f}\, x +1\right)}{2 d f}+\frac{b n \ln \left(x \right) \ln \left(-\sqrt{-d f}\, x +1\right)}{2 d f}+\frac{b \ln \left(c \right) \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{2 d f}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{4 d f}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 d f}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{b n \ln \left(x \right) \ln \left(d f \,x^{2}+1\right)}{2 d f}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{4}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d f}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d f}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{4}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{4}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{4 d f}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d f}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{4 d f}"," ",0,"-1/4*b*n/d/f*ln(d*f*x^2+1)-1/2*a/d/f-1/2*a*x^2-1/4*n*b*x^2*ln(d*f*x^2+1)-1/2/d/f*b*ln(c)+1/2*ln((f*x^2+1/d)*d)*ln(c)*x^2*b+(1/2*b*x^2*ln((f*x^2+1/d)*d)+1/2*b*(-d*f*x^2+ln((f*x^2+1/d)*d))/d/f)*ln(x^n)+1/2/d/f*ln((f*x^2+1/d)*d)*a-1/2*b*x^2*ln(c)+1/2*b*n*x^2+1/2*ln((f*x^2+1/d)*d)*x^2*a+1/4*I*Pi*b*x^2*csgn(I*c*x^n)^3+1/4*I/d/f*ln((f*x^2+1/d)*d)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+1/2/f*b*n/d*ln(x)*ln((-d*f)^(1/2)*x+1)+1/2/f*b*n/d*ln(x)*ln(-(-d*f)^(1/2)*x+1)+1/2/d/f*ln((f*x^2+1/d)*d)*ln(c)*b+1/2/f*b*n/d*dilog((-d*f)^(1/2)*x+1)+1/2/f*b*n/d*dilog(-(-d*f)^(1/2)*x+1)+1/4*I*ln((f*x^2+1/d)*d)*Pi*x^2*b*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I/d/f*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*I/d/f*ln((f*x^2+1/d)*d)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I*ln((f*x^2+1/d)*d)*Pi*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I/d/f*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I*Pi*b*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I/d/f*Pi*b*csgn(I*c*x^n)^3-1/4*I*Pi*b*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*n*b/d/f*ln(x)*ln(d*f*x^2+1)-1/4*I*ln((f*x^2+1/d)*d)*Pi*x^2*b*csgn(I*c*x^n)^3-1/4*I/d/f*ln((f*x^2+1/d)*d)*Pi*b*csgn(I*c*x^n)^3+1/4*I*Pi*b*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I/d/f*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I*ln((f*x^2+1/d)*d)*Pi*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I/d/f*ln((f*x^2+1/d)*d)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)","C"
26,0,0,35,0.408000," ","int((b*ln(c*x^n)+a)*ln((f*x^2+1/d)*d)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln((f*x^2+1/d)*d)/x,x)","F"
27,1,619,127,0.203000," ","int((b*ln(c*x^n)+a)*ln((f*x^2+1/d)*d)/x^3,x)","-\frac{b \ln \left(c \right) \ln \left(d f \,x^{2}+1\right)}{2 x^{2}}+a d f \ln \left(x \right)-\frac{a d f \ln \left(d f \,x^{2}+1\right)}{2}+\left(b d f \ln \left(x \right)-\frac{b d f \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{2}-\frac{b \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{2 x^{2}}\right) \ln \left(x^{n}\right)-\frac{a \ln \left(d f \,x^{2}+1\right)}{2 x^{2}}+\frac{b d f n \ln \left(x \right)}{2}-\frac{b d f n \ln \left(x \right)^{2}}{2}-\frac{b d f n \ln \left(d f \,x^{2}+1\right)}{4}-\frac{i \pi  b d f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(x \right)}{2}+\frac{i \pi  b d f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(d f \,x^{2}+1\right)}{4}-\frac{b d f n \dilog \left(-\sqrt{-d f}\, x +1\right)}{2}-\frac{b d f n \dilog \left(\sqrt{-d f}\, x +1\right)}{2}+b d f \ln \left(c \right) \ln \left(x \right)-\frac{b d f \ln \left(c \right) \ln \left(d f \,x^{2}+1\right)}{2}-\frac{i \pi  b d f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d f \,x^{2}+1\right)}{4}+\frac{i \pi  b d f \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2}-\frac{i \pi  b d f \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d f \,x^{2}+1\right)}{4}+\frac{i \pi  b d f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(d f \,x^{2}+1\right)}{4 x^{2}}-\frac{b d f n \ln \left(x \right) \ln \left(-\sqrt{-d f}\, x +1\right)}{2}-\frac{b d f n \ln \left(x \right) \ln \left(\sqrt{-d f}\, x +1\right)}{2}-\frac{i \pi  b d f \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}+\frac{i \pi  b d f \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d f \,x^{2}+1\right)}{4}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d f \,x^{2}+1\right)}{4 x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d f \,x^{2}+1\right)}{4 x^{2}}+\frac{b d f n \ln \left(x \right) \ln \left(d f \,x^{2}+1\right)}{2}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d f \,x^{2}+1\right)}{4 x^{2}}-\frac{b n \ln \left(d f \,x^{2}+1\right)}{4 x^{2}}"," ",0,"1/4*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/x^2*ln(d*f*x^2+1)-1/4*I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)/x^2*ln(d*f*x^2+1)-1/2*b*ln(c)/x^2*ln(d*f*x^2+1)+a*d*f*ln(x)-1/2*a*d*f*ln(d*f*x^2+1)+(-1/2*b/x^2*ln((f*x^2+1/d)*d)+b*f*d*ln(x)-1/2*b*f*d*ln((f*x^2+1/d)*d))*ln(x^n)+1/2*I*f*d*ln(x)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*f*d*ln(x)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*f*d*b*n*dilog(-(-d*f)^(1/2)*x+1)-1/2*a/x^2*ln(d*f*x^2+1)+1/2*b*d*f*n*ln(x)-1/2*b*d*f*n*ln(x)^2-1/4*b*d*f*n*ln(d*f*x^2+1)+1/4*I*f*d*ln(d*f*x^2+1)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*f*d*ln(x)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*f*d*ln(d*f*x^2+1)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*f*d*ln(x)*Pi*b*csgn(I*c*x^n)^3-1/4*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2/x^2*ln(d*f*x^2+1)+1/4*I*f*d*ln(d*f*x^2+1)*Pi*b*csgn(I*c*x^n)^3-1/4*I*f*d*ln(d*f*x^2+1)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-1/2*f*d*b*n*dilog((-d*f)^(1/2)*x+1)+f*d*ln(x)*ln(c)*b-1/2*f*d*ln(d*f*x^2+1)*ln(c)*b-1/2*f*d*b*n*ln(x)*ln(-(-d*f)^(1/2)*x+1)+1/4*I*Pi*b*csgn(I*c*x^n)^3/x^2*ln(d*f*x^2+1)-1/2*f*d*b*n*ln(x)*ln((-d*f)^(1/2)*x+1)+1/2*n*b*ln(d*f*x^2+1)*ln(x)*d*f-1/4*b*n*ln(d*f*x^2+1)/x^2","C"
28,0,0,185,0.543000," ","int(x^2*(b*ln(c*x^n)+a)*ln((f*x^2+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) x^{2} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)*ln((f*x^2+1/d)*d),x)","F"
29,0,0,146,0.430000," ","int((b*ln(c*x^n)+a)*ln((f*x^2+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln((f*x^2+1/d)*d),x)","F"
30,0,0,133,0.485000," ","int((b*ln(c*x^n)+a)*ln((f*x^2+1/d)*d)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln((f*x^2+1/d)*d)/x^2,x)","F"
31,0,0,159,0.392000," ","int((b*ln(c*x^n)+a)*ln((f*x^2+1/d)*d)/x^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln((f*x^2+1/d)*d)/x^4,x)","F"
32,0,0,337,0.496000," ","int(x^3*(b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{3} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d),x)","F"
33,0,0,225,0.576000," ","int(x*(b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d),x)","F"
34,0,0,64,0.500000," ","int((b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d)/x,x)","F"
35,0,0,237,0.370000," ","int((b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d)/x^3,x)","F"
36,0,0,488,0.452000," ","int(x^2*(b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{2} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d),x)","F"
37,0,0,435,0.529000," ","int((b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d),x)","F"
38,0,0,375,0.408000," ","int((b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d)/x^2,x)","F"
39,0,0,427,0.421000," ","int((b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d)/x^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln((f*x^2+1/d)*d)/x^4,x)","F"
40,0,0,547,0.535000," ","int(x^3*(b*ln(c*x^n)+a)^3*ln((f*x^2+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x^{3} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)^3*ln((f*x^2+1/d)*d),x)","F"
41,0,0,383,0.459000," ","int(x*(b*ln(c*x^n)+a)^3*ln((f*x^2+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^3*ln((f*x^2+1/d)*d),x)","F"
42,0,0,93,0.404000," ","int((b*ln(c*x^n)+a)^3*ln((f*x^2+1/d)*d)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln((f*x^2+1/d)*d)/x,x)","F"
43,0,0,395,0.427000," ","int((b*ln(c*x^n)+a)^3*ln((f*x^2+1/d)*d)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln((f*x^2+1/d)*d)/x^3,x)","F"
44,0,0,790,0.650000," ","int((b*ln(c*x^n)+a)^3*ln((f*x^2+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln((f*x^2+1/d)*d),x)","F"
45,0,0,701,0.487000," ","int((b*ln(c*x^n)+a)^3*ln((f*x^2+1/d)*d)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(\left(f \,x^{2}+\frac{1}{d}\right) d \right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln((f*x^2+1/d)*d)/x^2,x)","F"
46,0,0,294,0.077000," ","int(x^2*(b*ln(c*x^n)+a)*ln(d*(1/d+f*x^(1/2))),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) x^{2} \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)*ln(d*(1/d+f*x^(1/2))),x)","F"
47,0,0,226,0.059000," ","int(x*(b*ln(c*x^n)+a)*ln((f*x^(1/2)+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) x \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)*ln((f*x^(1/2)+1/d)*d),x)","F"
48,0,0,156,0.059000," ","int((b*ln(c*x^n)+a)*ln((f*x^(1/2)+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln((f*x^(1/2)+1/d)*d),x)","F"
49,0,0,35,0.061000," ","int((b*ln(c*x^n)+a)*ln((f*x^(1/2)+1/d)*d)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln((f*x^(1/2)+1/d)*d)/x,x)","F"
50,0,0,176,0.116000," ","int((b*ln(c*x^n)+a)*ln((f*x^(1/2)+1/d)*d)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln((f*x^(1/2)+1/d)*d)/x^2,x)","F"
51,0,0,245,0.116000," ","int((b*ln(c*x^n)+a)*ln((f*x^(1/2)+1/d)*d)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln((f*x^(1/2)+1/d)*d)/x^3,x)","F"
52,0,0,314,0.118000," ","int((b*ln(c*x^n)+a)*ln((f*x^(1/2)+1/d)*d)/x^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)}{x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln((f*x^(1/2)+1/d)*d)/x^4,x)","F"
53,0,0,614,0.064000," ","int(x^2*(b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{2} \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+1/d)*d),x)","F"
54,0,0,487,0.066000," ","int(x*(b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+1/d)*d),x)","F"
55,0,0,348,0.066000," ","int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+1/d)*d),x)","F"
56,0,0,64,0.064000," ","int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+1/d)*d)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+1/d)*d)/x,x)","F"
57,0,0,361,0.118000," ","int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+1/d)*d)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+1/d)*d)/x^2,x)","F"
58,0,0,487,0.118000," ","int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+1/d)*d)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+1/d)*d)/x^3,x)","F"
59,0,0,760,0.096000," ","int(x*(b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+1/d)*d),x)","F"
60,0,0,566,0.118000," ","int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+1/d)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+1/d)*d),x)","F"
61,0,0,93,0.069000," ","int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+1/d)*d)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+1/d)*d)/x,x)","F"
62,0,0,568,0.120000," ","int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+1/d)*d)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+1/d)*d)/x^2,x)","F"
63,0,0,753,0.173000," ","int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+1/d)*d)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(\left(f \sqrt{x}+\frac{1}{d}\right) d \right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+1/d)*d)/x^3,x)","F"
64,1,38574,137,1.891000," ","int((b*ln(c*x^n)+a)^4*ln(d*(1/d+f*x^m))/x,x)","\text{output too large to display}"," ",0,"result too large to display","C"
65,1,11734,105,1.270000," ","int((b*ln(c*x^n)+a)^3*ln(d*(1/d+f*x^m))/x,x)","\text{output too large to display}"," ",0,"result too large to display","C"
66,1,2578,73,1.077000," ","int((b*ln(c*x^n)+a)^2*ln(d*(1/d+f*x^m))/x,x)","\text{Expression too large to display}"," ",0,"-I/m*dilog(d*f*x^m+1)*n*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*b^2*n^2*ln(x)^3*ln(d*f*x^m+1)+1/3*b^2/n*ln(d*(1/d+f*x^m))*ln(x^n)^3+1/3*b^2*n^2*ln(1/d+f*x^m)*ln(x)^3-1/3*b^2/n*ln(1/d+f*x^m)*ln(x^n)^3-b^2/m*dilog(d*f*x^m+1)*ln(x^n)^2-b^2*ln(x)*ln(d*f*x^m+1)*ln(x^n)^2-1/m*dilog(d*f*x^m+1)*ln(c)^2*b^2+b^2*ln(1/d+f*x^m)*ln(x)*ln(x^n)^2-1/m*dilog(d*f*x^m+1)*a^2+I*n/m*ln(x)*polylog(2,-d*f*x^m)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*ln(x)*ln(d*f*x^m+1)*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I*ln(x)*ln(d*f*x^m+1)*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-I/m*dilog(d*f*x^m+1)*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I/m*dilog(d*f*x^m+1)*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-I/m*dilog(d*f*x^m+1)*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I*ln(x)*ln(x^n)*ln(d*(1/d+f*x^m))*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*n/m^2*polylog(3,-d*f*x^m)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I*n/m^2*polylog(3,-d*f*x^m)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*n*ln(x)^2*ln(d*f*x^m+1)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*n*ln(d*(1/d+f*x^m))*ln(x)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I/m*dilog(d*f*x^m+1)*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2+I/m*dilog(d*f*x^m+1)*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I/m*dilog(d*f*x^m+1)*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c)-I/m*dilog(d*f*x^m+1)*n*ln(x)*b^2*Pi*csgn(I*c*x^n)^3-I/m*dilog(d*f*x^m+1)*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*n*ln(d*(1/d+f*x^m))*ln(x)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*n*ln(x)^2*ln(d*f*x^m+1)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-2*n/m*ln(x)*polylog(2,-d*f*x^m)*b^2*ln(c)+2/m*dilog(d*f*x^m+1)*n*ln(x)*b^2*ln(c)-2*b^2*n/m*ln(x)*polylog(2,-d*f*x^m)*ln(x^n)-I*n/m*ln(x)*polylog(2,-d*f*x^m)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-2*b/m*dilog(d*f*x^m+1)*ln(x^n)*a-2*b*ln(x)*ln(d*f*x^m+1)*ln(x^n)*a-n*ln(d*(1/d+f*x^m))*ln(x)^2*b^2*ln(c)-2/m*dilog(d*f*x^m+1)*ln(c)*a*b+2*ln(x)*ln(x^n)*ln(d*(1/d+f*x^m))*b^2*ln(c)+n*ln(x)^2*ln(d*f*x^m+1)*b^2*ln(c)+2*n/m^2*polylog(3,-d*f*x^m)*b^2*ln(c)+1/4/m*dilog(d*f*x^m+1)*Pi^2*b^2*csgn(I*c*x^n)^6+I*ln(x)*ln(x^n)*ln(d*(1/d+f*x^m))*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I*ln(x)*ln(x^n)*ln(d*(1/d+f*x^m))*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*n*ln(x)^2*ln(d*f*x^m+1)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+I*n/m*ln(x)*polylog(2,-d*f*x^m)*b^2*Pi*csgn(I*c*x^n)^3+2*b^2/m*dilog(d*f*x^m+1)*ln(x)*ln(x^n)*n-2*b*n/m*ln(x)*polylog(2,-d*f*x^m)*a+2*b/m*dilog(d*f*x^m+1)*n*ln(x)*a-I*n/m*ln(x)*polylog(2,-d*f*x^m)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-I*n/m^2*polylog(3,-d*f*x^m)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2/m*dilog(d*f*x^m+1)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5+b^2*ln(x)^2*ln(d*f*x^m+1)*ln(x^n)*n+b^2*n^2/m*ln(x)^2*polylog(2,-d*f*x^m)-b^2*n*ln(1/d+f*x^m)*ln(x)^2*ln(x^n)-b^2/m*dilog(d*f*x^m+1)*ln(x)^2*n^2-1/2*I*n*ln(d*(1/d+f*x^m))*ln(x)^2*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/2/m*dilog(d*f*x^m+1)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+1/4/m*dilog(d*f*x^m+1)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2+I/m*dilog(d*f*x^m+1)*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^3-b*n*ln(d*(1/d+f*x^m))*ln(x)^2*a+2*b*ln(x)*ln(x^n)*ln(d*(1/d+f*x^m))*a+b*n*ln(x)^2*ln(d*f*x^m+1)*a+2*b*n/m^2*polylog(3,-d*f*x^m)*a-2/m*dilog(d*f*x^m+1)*ln(x^n)*b^2*ln(c)-2*ln(x)*ln(d*f*x^m+1)*ln(x^n)*b^2*ln(c)+2*b^2*n/m^2*polylog(3,-d*f*x^m)*ln(x^n)+I*ln(x)*ln(d*f*x^m+1)*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^3-1/2/m*dilog(d*f*x^m+1)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+I/m*dilog(d*f*x^m+1)*ln(c)*Pi*b^2*csgn(I*c*x^n)^3+I/m*dilog(d*f*x^m+1)*Pi*a*b*csgn(I*c*x^n)^3+1/m*dilog(d*f*x^m+1)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)-I*n/m^2*polylog(3,-d*f*x^m)*b^2*Pi*csgn(I*c*x^n)^3+1/2*I*n*ln(d*(1/d+f*x^m))*ln(x)^2*b^2*Pi*csgn(I*c*x^n)^3-I*ln(x)*ln(x^n)*ln(d*(1/d+f*x^m))*b^2*Pi*csgn(I*c*x^n)^3-1/2*I*n*ln(x)^2*ln(d*f*x^m+1)*b^2*Pi*csgn(I*c*x^n)^3+1/4/m*dilog(d*f*x^m+1)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4-1/2/m*dilog(d*f*x^m+1)*Pi^2*b^2*csgn(I*c*x^n)^5*csgn(I*c)+1/4/m*dilog(d*f*x^m+1)*Pi^2*b^2*csgn(I*c*x^n)^4*csgn(I*c)^2-2*b^2*n^2*polylog(4,-d*f*x^m)/m^3+I/m*dilog(d*f*x^m+1)*n*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I*ln(x)*ln(d*f*x^m+1)*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/m*dilog(d*f*x^m+1)*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/m*dilog(d*f*x^m+1)*n*ln(x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+I/m*dilog(d*f*x^m+1)*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)","C"
67,1,308,40,0.941000," ","int((b*ln(c*x^n)+a)*ln((f*x^m+1/d)*d)/x,x)","-\frac{b n \ln \left(x \right)^{2} \ln \left(\left(f \,x^{m}+\frac{1}{d}\right) d \right)}{2}+\frac{b n \ln \left(x \right)^{2} \ln \left(d f \,x^{m}+1\right)}{2}+\frac{i \pi  b \dilog \left(d f \,x^{m}+1\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 m}-\frac{i \pi  b \dilog \left(d f \,x^{m}+1\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 m}-\frac{i \pi  b \dilog \left(d f \,x^{m}+1\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 m}+\frac{i \pi  b \dilog \left(d f \,x^{m}+1\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 m}+b \ln \left(x \right) \ln \left(x^{n}\right) \ln \left(\left(f \,x^{m}+\frac{1}{d}\right) d \right)-b \ln \left(x \right) \ln \left(x^{n}\right) \ln \left(d f \,x^{m}+1\right)+\frac{b n \dilog \left(d f \,x^{m}+1\right) \ln \left(x \right)}{m}-\frac{b n \polylog \left(2, -d f \,x^{m}\right) \ln \left(x \right)}{m}-\frac{b \dilog \left(d f \,x^{m}+1\right) \ln \left(c \right)}{m}-\frac{b \dilog \left(d f \,x^{m}+1\right) \ln \left(x^{n}\right)}{m}-\frac{a \dilog \left(d f \,x^{m}+1\right)}{m}+\frac{b n \polylog \left(3, -d f \,x^{m}\right)}{m^{2}}"," ",0,"-1/2*b*ln((f*x^m+1/d)*d)*n*ln(x)^2+b*ln(x)*ln((f*x^m+1/d)*d)*ln(x^n)+1/2*b*n*ln(x)^2*ln(d*f*x^m+1)-b*n/m*ln(x)*polylog(2,-d*f*x^m)+b*n*polylog(3,-d*f*x^m)/m^2+b/m*dilog(d*f*x^m+1)*n*ln(x)-b/m*dilog(d*f*x^m+1)*ln(x^n)-b*ln(x)*ln(d*f*x^m+1)*ln(x^n)-1/2*I/m*dilog(d*f*x^m+1)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I/m*dilog(d*f*x^m+1)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I/m*dilog(d*f*x^m+1)*b*Pi*csgn(I*c*x^n)^3-1/2*I/m*dilog(d*f*x^m+1)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/m*dilog(d*f*x^m+1)*b*ln(c)-1/m*dilog(d*f*x^m+1)*a","C"
68,0,0,30,1.795000," ","int(ln((f*x^m+1/d)*d)/x/(b*ln(c*x^n)+a),x)","\int \frac{\ln \left(\left(f \,x^{m}+\frac{1}{d}\right) d \right)}{\left(b \ln \left(c \,x^{n}\right)+a \right) x}\, dx"," ",0,"int(ln((f*x^m+1/d)*d)/x/(b*ln(c*x^n)+a),x)","F"
69,0,0,30,4.700000," ","int(ln((f*x^m+1/d)*d)/x/(b*ln(c*x^n)+a)^2,x)","\int \frac{\ln \left(\left(f \,x^{m}+\frac{1}{d}\right) d \right)}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x}\, dx"," ",0,"int(ln((f*x^m+1/d)*d)/x/(b*ln(c*x^n)+a)^2,x)","F"
70,1,2403,255,0.872000," ","int(x^3*(b*ln(c*x^n)+a)*ln(d*(f*x+e)^m),x)","\text{Expression too large to display}"," ",0,"-1/8*I/f^3*Pi*b*e^3*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-5/16*b*e^3*m*n*x/f^3+3/32*b*e^2*m*n*x^2/f^2-7/144*b*e*m*n*x^3/f-1/24*I/f*Pi*x^3*b*e*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/16*x^4*a*m+1/4*x^4*ln(d)*a-1/16*m*b*ln(x^n)*x^4+1/4*ln(d)*b*x^4*ln(x^n)+1/32*I*x^4*Pi*b*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+(1/4*b*x^4*ln(x^n)+1/16*x^4*(2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*b*Pi*csgn(I*c*x^n)^3+2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+4*b*ln(c)-b*n+4*a))*ln((f*x+e)^m)+1/16*I/f^2*Pi*x^2*b*e^2*m*csgn(I*c*x^n)^3-1/8*I/f^3*Pi*b*e^3*m*csgn(I*c*x^n)^3*x-1/8*I*x^4*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/16*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*x^4*b*csgn(I*c*x^n)^2*csgn(I*c)+1/16*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/16*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*x^4*b*csgn(I*c*x^n)^3-1/16*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*x^4*ln(c)*ln(d)*b-1/16*x^4*ln(c)*b*m-1/16*ln(d)*b*n*x^4+1/8*I/f^3*Pi*b*e^3*m*csgn(I*c*x^n)^2*csgn(I*c)*x-1/8*I/f^4*e^4*m*ln(f*x+e)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I/f^4*e^4*m*ln(f*x+e)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-1/16*I/f^2*Pi*x^2*b*e^2*m*csgn(I*c*x^n)^2*csgn(I*c)+1/8*I/f^3*Pi*b*e^3*m*csgn(I*x^n)*csgn(I*c*x^n)^2*x+1/16*b*e^4*m*n*ln(f*x+e)/f^4-1/8*I*x^4*ln(c)*Pi*b*csgn(I*d*(f*x+e)^m)^3-1/8*I*x^4*Pi*ln(d)*b*csgn(I*c*x^n)^3+1/8*I*x^4*Pi*a*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2+1/16*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*x^4*b*csgn(I*c*x^n)^3+1/16*Pi^2*csgn(I*d*(f*x+e)^m)^3*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I*Pi*csgn(I*d*(f*x+e)^m)^3*b*x^4*ln(x^n)-1/32*I*Pi*b*n*x^4*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2+1/8*I*Pi*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*b*x^4*ln(x^n)+1/8*I*Pi*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*b*x^4*ln(x^n)-1/32*I*x^4*Pi*b*m*csgn(I*x^n)*csgn(I*c*x^n)^2-1/16*Pi^2*csgn(I*d*(f*x+e)^m)^3*x^4*b*csgn(I*c*x^n)^3-1/8*I*x^4*Pi*a*csgn(I*d*(f*x+e)^m)^3+1/12*m/f*b*ln(x^n)*e*x^3+1/8*I*x^4*Pi*a*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2-1/32*I*x^4*Pi*b*m*csgn(I*c*x^n)^2*csgn(I*c)+1/8*I*x^4*ln(c)*Pi*b*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2+1/8*I*x^4*ln(c)*Pi*b*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2+1/8*I*x^4*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I*x^4*ln(c)*Pi*b*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/8*I*Pi*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*b*x^4*ln(x^n)+1/8*I/f^4*e^4*m*ln(f*x+e)*Pi*b*csgn(I*c*x^n)^3-1/24*I/f*Pi*x^3*b*e*m*csgn(I*c*x^n)^3-205/576*b*e^4*m*n/f^4+1/4/f^3*a*e^3*m*x+1/12/f*x^3*a*e*m-1/8/f^2*x^2*a*e^2*m-1/4/f^4*e^4*m*ln(f*x+e)*a+1/32*I*Pi*b*n*x^4*csgn(I*d*(f*x+e)^m)^3+1/4*b*e^4*m*n*ln(-f*x/e)*ln(f*x+e)/f^4+1/16*Pi^2*csgn(I*d*(f*x+e)^m)^3*x^4*b*csgn(I*c*x^n)^2*csgn(I*c)+1/16*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*x^4*b*csgn(I*c*x^n)^3-1/16*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*x^4*b*csgn(I*c*x^n)^2*csgn(I*c)-1/16*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/16*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*x^4*b*csgn(I*c*x^n)^2*csgn(I*c)-1/16*Pi^2*csgn(I*d*(f*x+e)^m)^3*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I*x^4*Pi*ln(d)*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*I*x^4*Pi*a*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/32*I*Pi*b*n*x^4*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2+1/32*b*m*n*x^4+1/16*I/f^2*Pi*x^2*b*e^2*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I/f^4*e^4*m*ln(f*x+e)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/16*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/32*I*Pi*b*n*x^4*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)+1/4*n*b/f^4*e^4*m*dilog(-f*x/e)-1/8*m/f^2*b*ln(x^n)*x^2*e^2+1/4*m/f^3*b*ln(x^n)*x*e^3-1/4*m/f^4*b*ln(x^n)*e^4*ln(f*x+e)-1/4/f^4*e^4*m*ln(f*x+e)*b*ln(c)+1/4/f^3*ln(c)*b*e^3*m*x+1/12/f*ln(c)*x^3*b*e*m-1/8/f^2*ln(c)*x^2*b*e^2*m+1/16*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/16*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/24*I/f*Pi*x^3*b*e*m*csgn(I*x^n)*csgn(I*c*x^n)^2+1/24*I/f*Pi*x^3*b*e*m*csgn(I*c*x^n)^2*csgn(I*c)-1/16*I/f^2*Pi*x^2*b*e^2*m*csgn(I*x^n)*csgn(I*c*x^n)^2+1/32*I*x^4*Pi*b*m*csgn(I*c*x^n)^3","C"
71,1,2222,219,0.747000," ","int(x^2*(b*ln(c*x^n)+a)*ln(d*(f*x+e)^m),x)","\text{Expression too large to display}"," ",0,"-1/3*n*b/f^3*e^3*m*dilog(-1/e*f*x)-1/9*ln(d)*b*n*x^3+1/3*x^3*ln(c)*ln(d)*b-1/9*x^3*ln(c)*b*m+1/3*x^3*ln(d)*a-1/9*m*b*ln(x^n)*x^3+1/3*ln(d)*b*x^3*ln(x^n)-1/6*I/f^3*e^3*m*ln(f*x+e)*Pi*b*csgn(I*c*x^n)^3-1/12*I/f*Pi*x^2*b*e*m*csgn(I*c*x^n)^3+1/18*I*x^3*Pi*b*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6*I*x^3*ln(c)*Pi*b*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/6*I*x^3*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/9*x^3*a*m+(1/3*b*x^3*ln(x^n)+1/18*x^3*(3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*b*Pi*csgn(I*c*x^n)^3+3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+6*b*ln(c)-2*b*n+6*a))*ln((f*x+e)^m)-1/12*Pi^2*csgn(I*d*(f*x+e)^m)^3*x^3*b*csgn(I*c*x^n)^3-1/6*I*x^3*Pi*a*csgn(I*d*(f*x+e)^m)^3-1/3/f^2*ln(c)*b*e^2*m*x+1/6/f*ln(c)*x^2*b*e*m+1/3/f^3*e^3*m*ln(f*x+e)*b*ln(c)+1/12*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*x^3*b*csgn(I*c*x^n)^2*csgn(I*c)+1/6/f*x^2*a*e*m+4/9*b*e^2*m*n*x/f^2-5/36*b*e*m*n*x^2/f-1/6*I/f^2*Pi*b*e^2*m*csgn(I*c*x^n)^2*csgn(I*c)*x+1/6*I/f^3*e^3*m*ln(f*x+e)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I/f^3*e^3*m*ln(f*x+e)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+1/12*I/f*Pi*x^2*b*e*m*csgn(I*x^n)*csgn(I*c*x^n)^2-1/3/f^2*a*e^2*m*x+1/3/f^3*e^3*m*ln(f*x+e)*a-1/9*b*e^3*m*n*ln(f*x+e)/f^3-1/6*I*Pi*csgn(I*d*(f*x+e)^m)^3*b*x^3*ln(x^n)+1/12*Pi^2*csgn(I*d*(f*x+e)^m)^3*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/12*Pi^2*csgn(I*d*(f*x+e)^m)^3*x^3*b*csgn(I*c*x^n)^2*csgn(I*c)+1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*x^3*b*csgn(I*c*x^n)^3+1/12*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*x^3*b*csgn(I*c*x^n)^3+1/18*I*x^3*Pi*b*m*csgn(I*c*x^n)^3+1/18*I*Pi*b*n*x^3*csgn(I*d*(f*x+e)^m)^3-1/6*I*x^3*ln(c)*Pi*b*csgn(I*d*(f*x+e)^m)^3-1/12*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6*I/f^2*Pi*b*e^2*m*csgn(I*x^n)*csgn(I*c*x^n)^2*x+1/6*I*Pi*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*b*x^3*ln(x^n)+1/6*I*Pi*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*b*x^3*ln(x^n)-1/18*I*x^3*Pi*b*m*csgn(I*x^n)*csgn(I*c*x^n)^2-1/18*I*Pi*b*n*x^3*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/6*I*x^3*Pi*ln(d)*b*csgn(I*c*x^n)^3+1/12*I/f*Pi*x^2*b*e*m*csgn(I*c*x^n)^2*csgn(I*c)+49/108*b*e^3*n*m/f^3+1/6*I*x^3*Pi*a*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/3*b*e^3*m*n*ln(-1/e*f*x)*ln(f*x+e)/f^3+2/27*b*m*n*x^3-1/18*I*Pi*b*n*x^3*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2-1/18*I*x^3*Pi*b*m*csgn(I*c*x^n)^2*csgn(I*c)+1/6*I*x^3*ln(c)*Pi*b*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/12*Pi^2*csgn(I*d*(f*x+e)^m)^3*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/6*I*x^3*Pi*ln(d)*b*csgn(I*c*x^n)^2*csgn(I*c)-1/6*I*x^3*Pi*a*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)+1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/12*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/12*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/6*I*Pi*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*b*x^3*ln(x^n)+1/6*I/f^2*Pi*b*e^2*m*csgn(I*c*x^n)^3*x-1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*x^3*b*csgn(I*c*x^n)^2*csgn(I*c)-1/12*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/18*I*Pi*b*n*x^3*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/12*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*x^3*b*csgn(I*c*x^n)^3-1/12*I/f*Pi*x^2*b*e*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/6*I/f^2*Pi*b*e^2*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-1/6*I/f^3*e^3*m*ln(f*x+e)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/12*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*x^3*b*csgn(I*c*x^n)^2*csgn(I*c)+1/6*I*x^3*ln(c)*Pi*b*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2+1/6*I*x^3*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*m/f*b*ln(x^n)*e*x^2-1/3*m/f^2*b*ln(x^n)*x*e^2+1/3*m/f^3*b*ln(x^n)*e^3*ln(f*x+e)+1/6*I*x^3*Pi*a*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2","C"
72,1,2041,183,0.726000," ","int(x*(b*ln(c*x^n)+a)*ln(d*(f*x+e)^m),x)","\text{Expression too large to display}"," ",0,"1/2*n*b/f^2*e^2*m*dilog(-1/e*f*x)+1/4*I/f^2*e^2*m*ln(f*x+e)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*x^2*b*csgn(I*c*x^n)^3-1/4*x^2*a*m+1/8*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*x^2*b*csgn(I*c*x^n)^3+1/8*Pi^2*csgn(I*d*(f*x+e)^m)^3*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*Pi^2*csgn(I*d*(f*x+e)^m)^3*x^2*b*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I*Pi*csgn(I*d*(f*x+e)^m)^3*b*x^2*ln(x^n)+1/2*x^2*ln(d)*a-1/4*m*b*ln(x^n)*x^2+1/2*ln(d)*b*x^2*ln(x^n)-1/4*ln(d)*b*n*x^2+1/2*x^2*ln(c)*ln(d)*b-1/4*x^2*ln(c)*b*m+(1/2*b*x^2*ln(x^n)+1/4*x^2*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)-b*n+2*a))*ln((f*x+e)^m)-3/4*b*e*m*n*x/f+1/4*I*Pi*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*b*x^2*ln(x^n)+1/4*I*Pi*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*b*x^2*ln(x^n)+1/4*I*x^2*ln(c)*Pi*b*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2+1/4*I*x^2*ln(c)*Pi*b*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2-1/8*I*Pi*b*n*x^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/8*I*Pi*b*n*x^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2-1/4*I*x^2*Pi*a*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)+1/4*b*e^2*m*n*ln(f*x+e)/f^2-1/8*Pi^2*csgn(I*d*(f*x+e)^m)^3*x^2*b*csgn(I*c*x^n)^3-1/4*I*x^2*Pi*a*csgn(I*d*(f*x+e)^m)^3-1/8*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*x^2*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*Pi^2*csgn(I*d*(f*x+e)^m)^3*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/8*I*x^2*Pi*b*m*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I*x^2*Pi*b*m*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I*x^2*Pi*a*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2+1/8*I*Pi*b*n*x^2*csgn(I*d*(f*x+e)^m)^3+1/4*I/f*Pi*b*e*m*csgn(I*x^n)*csgn(I*c*x^n)^2*x+1/4*I/f*Pi*b*e*m*csgn(I*c*x^n)^2*csgn(I*c)*x-1/2*m*a*e^2/f^2*ln(f*x+e)+1/2*e*a*m/f*x-5/8*b*e^2*n*m/f^2+1/2*b*e^2*m*n*ln(-1/e*f*x)*ln(f*x+e)/f^2-1/4*I*x^2*ln(c)*Pi*b*csgn(I*d*(f*x+e)^m)^3-1/4*I*x^2*Pi*ln(d)*b*csgn(I*c*x^n)^3+1/8*I*x^2*Pi*b*m*csgn(I*c*x^n)^3+1/4*I*x^2*Pi*a*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/4*I/f^2*e^2*m*ln(f*x+e)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I/f^2*e^2*m*ln(f*x+e)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*b*m*n*x^2+1/8*I*x^2*Pi*b*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*x^2*ln(c)*Pi*b*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/4*I*x^2*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I*Pi*b*n*x^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/2/f^2*e^2*m*ln(f*x+e)*b*ln(c)+1/2/f*ln(c)*b*e*m*x+1/4*I/f^2*e^2*m*ln(f*x+e)*Pi*b*csgn(I*c*x^n)^3+1/8*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*x^2*b*csgn(I*c*x^n)^2*csgn(I*c)+1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*Pi*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*b*x^2*ln(x^n)-1/4*I/f*Pi*b*e*m*csgn(I*c*x^n)^3*x-1/4*I/f*Pi*b*e*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-1/8*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*x^2*b*csgn(I*c*x^n)^3-1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*x^2*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2/f*m*b*ln(x^n)*x*e-1/2/f^2*m*b*ln(x^n)*e^2*ln(f*x+e)+1/4*I*x^2*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*x^2*Pi*ln(d)*b*csgn(I*c*x^n)^2*csgn(I*c)","C"
73,1,1762,117,0.641000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x+e)^m),x)","-b m x \ln \left(c \right)+b x \ln \left(c \right) \ln \left(d \right)-b n x \ln \left(d \right)+2 b m n x -a m x +a x \ln \left(d \right)+\left(b x \ln \left(x^{n}\right)+\frac{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 b n +2 b \ln \left(c \right)+2 a \right) x}{2}\right) \ln \left(\left(f x +e \right)^{m}\right)-b m x \ln \left(x^{n}\right)+b x \ln \left(d \right) \ln \left(x^{n}\right)+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3}}{4}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4}+\frac{i \pi  b m x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}+\frac{i \pi  b n x \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3}}{2}-\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d \right)}{2}-\frac{i \pi  b x \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3} \ln \left(c \right)}{2}-\frac{i \pi  b x \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3} \ln \left(x^{n}\right)}{2}+\frac{i \pi  a x \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{2}+\frac{i \pi  a x \,\mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{2}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)}{4}+\frac{i \pi  b e m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f x +e \right)}{2 f}+\frac{b e m \ln \left(x^{n}\right) \ln \left(f x +e \right)}{f}+\frac{b e m n}{f}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3}}{4}-\frac{\pi^{2} b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3}}{4}-\frac{i \pi  a x \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3}}{2}+\frac{i \pi  b e m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f x +e \right)}{2 f}-\frac{b e m n \ln \left(-\frac{f x}{e}\right) \ln \left(f x +e \right)}{f}+\frac{a e m \ln \left(f x +e \right)}{f}-\frac{i \pi  b e m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(f x +e \right)}{2 f}-\frac{b e m n \ln \left(f x +e \right)}{f}+\frac{i \pi  b n x \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)}{2}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(d \right)}{2}-\frac{i \pi  b x \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right) \ln \left(c \right)}{2}-\frac{i \pi  b x \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right) \ln \left(x^{n}\right)}{2}-\frac{b e m n \dilog \left(-\frac{f x}{e}\right)}{f}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)}{4}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4}+\frac{\pi^{2} b x \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)}{4}-\frac{i \pi  b e m \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(f x +e \right)}{2 f}+\frac{i \pi  b m x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}+\frac{b e m \ln \left(c \right) \ln \left(f x +e \right)}{f}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3}}{4}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)}{4}-\frac{\pi^{2} b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4}-\frac{i \pi  b m x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b m x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b n x \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{2}-\frac{i \pi  b n x \,\mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d \right)}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2} \ln \left(c \right)}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2} \ln \left(x^{n}\right)}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d \right)}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2} \ln \left(c \right)}{2}+\frac{i \pi  b x \,\mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2} \ln \left(x^{n}\right)}{2}-\frac{i \pi  a x \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)}{2}"," ",0,"-m*ln(c)*b*x+ln(c)*ln(d)*b*x-ln(d)*b*n*x+2*b*m*n*x-a*m*x+ln(d)*a*x+(b*x*ln(x^n)+1/2*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)-2*b*n+2*a)*x)*ln((f*x+e)^m)+1/2*I*ln(c)*Pi*b*x*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2+1/2*I*Pi*ln(d)*b*x*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*Pi*ln(x^n)*x*b*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/2*I/f*m*e*ln(f*x+e)*Pi*b*csgn(I*c*x^n)^3-1/2*I*Pi*ln(x^n)*x*b*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)+1/4*Pi^2*x*b*csgn(I*d)*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*d*(f*x+e)^m)^2*csgn(I*c)+1/4*Pi^2*x*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*csgn(I*c)+1/4*Pi^2*x*b*csgn(I*d)*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)+1/4*Pi^2*x*b*csgn(I*d)*csgn(I*c*x^n)^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*csgn(I*c)-m*b*ln(x^n)*x+ln(d)*ln(x^n)*x*b+1/2*I*Pi*b*n*x*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/2*I*Pi*ln(d)*b*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*m*Pi*b*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*ln(c)*Pi*b*x*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/2*I*Pi*a*x*csgn(I*d*(f*x+e)^m)^3-1/4*Pi^2*x*b*csgn(I*c*x^n)^3*csgn(I*d*(f*x+e)^m)^3-n*b*e*m/f*dilog(-1/e*f*x)-1/4*Pi^2*x*b*csgn(I*d)*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*csgn(I*c)+1/2*I/f*m*e*ln(f*x+e)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I/f*m*e*ln(f*x+e)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+1/4*Pi^2*x*b*csgn(I*d)*csgn(I*c*x^n)^3*csgn(I*d*(f*x+e)^m)^2+1/4*Pi^2*x*b*csgn(I*c*x^n)^3*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2+1/f*m*b*ln(x^n)*e*ln(f*x+e)+b*e*n*m/f-1/2*I*m*Pi*b*x*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*Pi*a*x*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/2*I*Pi*ln(x^n)*x*b*csgn(I*d*(f*x+e)^m)^3+1/2*I*Pi*b*n*x*csgn(I*d*(f*x+e)^m)^3+1/4*Pi^2*x*b*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*d*(f*x+e)^m)^3+1/4*Pi^2*x*b*csgn(I*c*x^n)^2*csgn(I*d*(f*x+e)^m)^3*csgn(I*c)+1/2*I*ln(c)*Pi*b*x*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/2*I*Pi*b*n*x*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/2*I*Pi*b*n*x*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2-1/2*I*m*Pi*b*x*csgn(I*x^n)*csgn(I*c*x^n)^2-n*b*e*m/f*ln(f*x+e)*ln(-1/e*f*x)+a/f*m*e*ln(f*x+e)-b*e*n*m/f*ln(f*x+e)-1/4*Pi^2*x*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*d*(f*x+e)^m)^3*csgn(I*c)-1/4*Pi^2*x*b*csgn(I*d)*csgn(I*c*x^n)^3*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/4*Pi^2*x*b*csgn(I*d)*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*d*(f*x+e)^m)^2+1/2*I*Pi*ln(x^n)*x*b*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2+1/2*I*Pi*ln(d)*b*x*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*m*Pi*b*x*csgn(I*c*x^n)^3+1/f*m*e*ln(f*x+e)*b*ln(c)-1/4*Pi^2*x*b*csgn(I*d)*csgn(I*c*x^n)^2*csgn(I*d*(f*x+e)^m)^2*csgn(I*c)-1/4*Pi^2*x*b*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2-1/4*Pi^2*x*b*csgn(I*c*x^n)^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*csgn(I*c)-1/2*I/f*m*e*ln(f*x+e)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*Pi*a*x*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2+1/2*I*Pi*a*x*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2-1/2*I*ln(c)*Pi*b*x*csgn(I*d*(f*x+e)^m)^3-1/2*I*Pi*ln(d)*b*x*csgn(I*c*x^n)^3","C"
74,1,1795,96,0.473000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x+e)^m)/x,x)","\text{Expression too large to display}"," ",0,"(b*ln(x)*ln(x^n)-1/2*b*n*ln(x)^2+1/2*I*Pi*ln(x)*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*Pi*ln(x)*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*Pi*ln(x)*b*csgn(I*c*x^n)^3+1/2*I*Pi*ln(x)*b*csgn(I*c*x^n)^2*csgn(I*c)+ln(c)*ln(x)*b+ln(x)*a)*ln((f*x+e)^m)-m*ln(x)*ln((f*x+e)/e)*a-m*dilog((f*x+e)/e)*b*ln(c)+ln(d)*b*ln(c)*ln(x)-m*dilog((f*x+e)/e)*a+ln(d)*a*ln(x)-m*dilog((f*x+e)/e)*b*ln(x^n)+1/2*ln(d)*b/n*ln(x^n)^2+b*m*n*polylog(3,-1/e*f*x)-1/4*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(x)-1/4*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(x)-1/4*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(x)+1/4*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*b*csgn(I*c*x^n)^3*ln(x)+1/2*I*Pi*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*a*ln(x)+1/2*I*Pi*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*a*ln(x)-1/2*I*Pi*csgn(I*d*(f*x+e)^m)^3*b*ln(c)*ln(x)-1/4*I*Pi*csgn(I*d*(f*x+e)^m)^3*b/n*ln(x^n)^2-1/4*Pi^2*csgn(I*d*(f*x+e)^m)^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(x)-1/2*I*m*ln(x)*ln((f*x+e)/e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*m*ln(x)*ln((f*x+e)/e)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*Pi*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*a*ln(x)+1/2*I*Pi*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*b*ln(c)*ln(x)+1/4*I*Pi*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*b/n*ln(x^n)^2+1/4*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*b*csgn(I*c*x^n)^3*ln(x)+1/4*Pi^2*csgn(I*d*(f*x+e)^m)^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(x)+1/4*Pi^2*csgn(I*d*(f*x+e)^m)^3*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(x)+1/4*I*Pi*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*b/n*ln(x^n)^2+1/2*I*ln(d)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(x)+1/2*I*ln(d)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*ln(x)-m*ln(x)*ln((f*x+e)/e)*b*ln(x^n)-1/2*I*Pi*csgn(I*d*(f*x+e)^m)^3*a*ln(x)-1/4*Pi^2*csgn(I*d*(f*x+e)^m)^3*b*csgn(I*c*x^n)^3*ln(x)-1/2*m*b*n*ln(x)^2*ln(1+1/e*f*x)+1/2*I*m*ln(x)*ln((f*x+e)/e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+m*ln(x)^2*ln((f*x+e)/e)*b*n-m*b*n*ln(x)*polylog(2,-1/e*f*x)+m*dilog((f*x+e)/e)*b*n*ln(x)-m*ln(x)*ln((f*x+e)/e)*b*ln(c)-1/2*I*Pi*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*b*ln(c)*ln(x)-1/2*I*ln(d)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(x)+1/2*I*m*ln(x)*ln((f*x+e)/e)*b*Pi*csgn(I*c*x^n)^3-1/2*I*m*dilog((f*x+e)/e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*m*dilog((f*x+e)/e)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*Pi*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*b*ln(c)*ln(x)+1/4*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*b*csgn(I*c*x^n)^2*csgn(I*c)*ln(x)+1/4*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(x)-1/4*I*Pi*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*b/n*ln(x^n)^2+1/4*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(x)+1/2*I*m*dilog((f*x+e)/e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(x)-1/4*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*b*csgn(I*c*x^n)^3*ln(x)-1/4*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(x)-1/2*I*ln(d)*b*Pi*csgn(I*c*x^n)^3*ln(x)+1/2*I*m*dilog((f*x+e)/e)*b*Pi*csgn(I*c*x^n)^3-1/4*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(x)","C"
75,1,1892,162,0.631000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x+e)^m)/x^2,x)","-\frac{a \ln \left(d \right)}{x}-\frac{b \ln \left(c \right) \ln \left(d \right)}{x}-\frac{b n \ln \left(d \right)}{x}+\left(-\frac{b \ln \left(x^{n}\right)}{x}-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b n +2 b \ln \left(c \right)+2 a}{2 x}\right) \ln \left(\left(f x +e \right)^{m}\right)-\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3}}{4 x}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4 x}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3}}{4 x}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4 x}+\frac{i \pi  b n \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3}}{2 x}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d \right)}{2 x}+\frac{i \pi  b \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3} \ln \left(c \right)}{2 x}+\frac{i \pi  b \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3} \ln \left(x^{n}\right)}{2 x}-\frac{i \pi  a \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{2 x}-\frac{i \pi  a \,\mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{2 x}+\frac{b f m n \dilog \left(-\frac{f x}{e}\right)}{e}+\frac{i \pi  b f m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 e}-\frac{i \pi  b f m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f x +e \right)}{2 e}+\frac{i \pi  b f m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 e}-\frac{i \pi  b f m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f x +e \right)}{2 e}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)}{4 x}-\frac{b \ln \left(d \right) \ln \left(x^{n}\right)}{x}+\frac{\pi^{2} b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3}}{4 x}+\frac{i \pi  a \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3}}{2 x}-\frac{a f m \ln \left(f x +e \right)}{e}+\frac{i \pi  a \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)}{2 x}+\frac{b f m n \ln \left(x \right)}{e}-\frac{b f m n \ln \left(x \right)^{2}}{2 e}-\frac{b f m n \ln \left(f x +e \right)}{e}+\frac{a f m \ln \left(x \right)}{e}-\frac{b f m \ln \left(x^{n}\right) \ln \left(f x +e \right)}{e}+\frac{b f m \ln \left(x \right) \ln \left(x^{n}\right)}{e}+\frac{b f m n \ln \left(-\frac{f x}{e}\right) \ln \left(f x +e \right)}{e}-\frac{b f m \ln \left(c \right) \ln \left(f x +e \right)}{e}+\frac{b f m \ln \left(c \right) \ln \left(x \right)}{e}-\frac{i \pi  b f m \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 e}+\frac{i \pi  b f m \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(f x +e \right)}{2 e}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4 x}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)}{4 x}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4 x}-\frac{\pi^{2} b \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)}{4 x}+\frac{i \pi  b n \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)}{2 x}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(d \right)}{2 x}+\frac{i \pi  b \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right) \ln \left(c \right)}{2 x}+\frac{i \pi  b \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right) \ln \left(x^{n}\right)}{2 x}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4 x}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{3}}{4 x}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4 x}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4 x}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)}{4 x}+\frac{\pi^{2} b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{4 x}-\frac{i \pi  b n \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{2 x}-\frac{i \pi  b n \,\mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2}}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d \right)}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2} \ln \left(c \right)}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2} \ln \left(x^{n}\right)}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d \right)}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2} \ln \left(c \right)}{2 x}-\frac{i \pi  b \,\mathrm{csgn}\left(i \left(f x +e \right)^{m}\right) \mathrm{csgn}\left(i d \left(f x +e \right)^{m}\right)^{2} \ln \left(x^{n}\right)}{2 x}-\frac{i \pi  b f m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(x \right)}{2 e}+\frac{i \pi  b f m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(f x +e \right)}{2 e}"," ",0,"-1/x*ln(d)*a+1/2*I/e*f*m*ln(f*x+e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I/e*f*m*ln(x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/x*ln(c)*ln(d)*b-1/x*ln(d)*b*n+1/2*I/e*f*m*ln(x)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/4*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)/x*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I/e*f*m*ln(f*x+e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)/x*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)/x*b*csgn(I*c*x^n)^2*csgn(I*c)-ln(d)*b/x*ln(x^n)+(-b/x*ln(x^n)-1/2*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)+2*b*n+2*a)/x)*ln((f*x+e)^m)+1/4*Pi^2*csgn(I*d*(f*x+e)^m)^3/x*b*csgn(I*c*x^n)^3+1/2*I/x*Pi*a*csgn(I*d*(f*x+e)^m)^3+1/2*I/x*Pi*a*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/e*f*m*ln(f*x+e)*a+b*f*m*n*ln(x)/e-1/2*b*f*m*n*ln(x)^2/e-b*f*m*n*ln(f*x+e)/e+1/e*f*m*ln(x)*a-1/4*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2/x*b*csgn(I*c*x^n)^3-1/4*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2/x*b*csgn(I*c*x^n)^3-1/4*Pi^2*csgn(I*d*(f*x+e)^m)^3/x*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*Pi^2*csgn(I*d*(f*x+e)^m)^3/x*b*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I/x*Pi*ln(d)*b*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I/x*Pi*b*n*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/2*I/x*Pi*b*n*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2-m*f*b*ln(x^n)/e*ln(f*x+e)+m*f*b*ln(x^n)*ln(x)/e+b*f*m*n*ln(-1/e*f*x)*ln(f*x+e)/e-1/e*f*m*ln(f*x+e)*b*ln(c)+1/e*f*m*ln(x)*b*ln(c)-1/2*I/e*f*m*ln(x)*b*Pi*csgn(I*c*x^n)^3+1/2*I/e*f*m*ln(f*x+e)*b*Pi*csgn(I*c*x^n)^3+1/2*I*Pi*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*b/x*ln(x^n)-1/2*I/x*ln(c)*Pi*b*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/2*I/x*ln(c)*Pi*b*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2+1/4*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2/x*b*csgn(I*c*x^n)^2*csgn(I*c)+1/4*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2/x*b*csgn(I*x^n)*csgn(I*c*x^n)^2+n*b*f*m/e*dilog(-1/e*f*x)+1/2*I/x*ln(c)*Pi*b*csgn(I*d*(f*x+e)^m)^3+1/2*I/x*Pi*ln(d)*b*csgn(I*c*x^n)^3+1/2*I/x*Pi*b*n*csgn(I*d*(f*x+e)^m)^3-1/2*I/x*Pi*a*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/2*I/x*Pi*a*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2+1/2*I*Pi*csgn(I*d*(f*x+e)^m)^3*b/x*ln(x^n)+1/2*I/x*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I/x*Pi*b*n*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)+1/4*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2/x*b*csgn(I*c*x^n)^2*csgn(I*c)+1/4*Pi^2*csgn(I*d*(f*x+e)^m)^3/x*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)/x*b*csgn(I*c*x^n)^3+1/4*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2/x*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I/x*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I/e*f*m*ln(f*x+e)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I/e*f*m*ln(x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*Pi*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*b/x*ln(x^n)-1/2*I*Pi*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*b/x*ln(x^n)-1/4*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2/x*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2/x*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I/x*ln(c)*Pi*b*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)","C"
76,1,2100,212,0.691000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x+e)^m)/x^3,x)","\text{Expression too large to display}"," ",0,"-1/2*m*f*b*ln(x^n)/e/x+1/2*m*f^2*b*ln(x^n)/e^2*ln(f*x+e)-1/2*m*f^2*b*ln(x^n)/e^2*ln(x)+1/4*I/e^2*f^2*m*ln(f*x+e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I/e^2*f^2*m*ln(f*x+e)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I/e*f*m/x*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/2/x^2*ln(c)*ln(d)*b-1/4/x^2*ln(d)*b*n+(-1/2*b/x^2*ln(x^n)-1/4*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)+b*n+2*a)/x^2)*ln((f*x+e)^m)+1/2/e^2*f^2*m*ln(f*x+e)*a-1/2/e^2*f^2*m*ln(x)*a-1/8*Pi^2*csgn(I*d*(f*x+e)^m)^3/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*Pi^2*csgn(I*d*(f*x+e)^m)^3/x^2*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2/x^2*b*csgn(I*c*x^n)^3+1/4*I*Pi*csgn(I*d*(f*x+e)^m)^3*b/x^2*ln(x^n)+1/4*I/x^2*ln(c)*Pi*b*csgn(I*d*(f*x+e)^m)^3+1/4*I/x^2*Pi*ln(d)*b*csgn(I*c*x^n)^3-1/2/x^2*ln(d)*a-1/8*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*ln(d)*b/x^2*ln(x^n)-1/8*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2/x^2*b*csgn(I*c*x^n)^3-3/4*b*f*m*n/e/x+1/8*I/x^2*Pi*b*n*csgn(I*d*(f*x+e)^m)^3-1/4*I/x^2*Pi*a*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/4*I/x^2*Pi*a*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2+1/8*Pi^2*csgn(I*d*(f*x+e)^m)^3/x^2*b*csgn(I*c*x^n)^3+1/4*I/x^2*Pi*a*csgn(I*d*(f*x+e)^m)^3-1/8*I/x^2*Pi*b*n*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/8*I/x^2*Pi*b*n*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2+1/4*I/x^2*Pi*a*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/4*I/e^2*f^2*m*ln(f*x+e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*b*f^2*m*n*ln(x)/e^2+1/4*b*f^2*m*n*ln(x)^2/e^2-1/4*I/e^2*f^2*m*ln(x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I/e^2*f^2*m*ln(x)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I/e*f*m/x*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*b*f^2*m*n*ln(-1/e*f*x)*ln(f*x+e)/e^2+1/4*I/x^2*ln(c)*Pi*b*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)+1/4*I/x^2*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I/x^2*Pi*b*n*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)+1/4*I/e*f*m/x*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2/e*f*m/x*a-1/2*n*f^2*b*m/e^2*dilog(-1/e*f*x)-1/4*I/x^2*ln(c)*Pi*b*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/2/e*f*m/x*b*ln(c)+1/2/e^2*f^2*m*ln(f*x+e)*b*ln(c)-1/2/e^2*f^2*m*ln(x)*b*ln(c)+1/4*I/e^2*f^2*m*ln(x)*b*Pi*csgn(I*c*x^n)^3+1/4*I/e*f*m/x*b*Pi*csgn(I*c*x^n)^3+1/4*I/e^2*f^2*m*ln(x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I/e^2*f^2*m*ln(f*x+e)*b*Pi*csgn(I*c*x^n)^3+1/4*I*Pi*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*b/x^2*ln(x^n)-1/8*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)/x^2*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2/x^2*b*csgn(I*c*x^n)^2*csgn(I*c)+1/8*Pi^2*csgn(I*d*(f*x+e)^m)^3/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)/x^2*b*csgn(I*c*x^n)^3+1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2/x^2*b*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I*Pi*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*b/x^2*ln(x^n)-1/4*I*Pi*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*b/x^2*ln(x^n)-1/4*I/x^2*ln(c)*Pi*b*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2-1/4*I/x^2*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I/x^2*Pi*ln(d)*b*csgn(I*c*x^n)^2*csgn(I*c)+1/4*b*f^2*m*n*ln(f*x+e)/e^2","C"
77,1,2282,248,0.798000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x+e)^m)/x^4,x)","\text{Expression too large to display}"," ",0,"-1/6*I/e^3*f^3*m*ln(x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6/e*f*m/x^2*a+1/3/e^3*f^3*m*ln(x)*a-1/3*ln(d)*b/x^3*ln(x^n)-1/3/x^3*ln(d)*a+1/12*Pi^2*csgn(I*d*(f*x+e)^m)^3/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/12*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/12*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)/x^3*b*csgn(I*c*x^n)^2*csgn(I*c)-1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/12*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/18*I/x^3*Pi*b*n*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/18*I/x^3*Pi*b*n*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2+1/6*I/x^3*Pi*a*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/6*I/x^3*ln(c)*Pi*b*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2+(-1/3*b/x^3*ln(x^n)-1/18*(3*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-3*I*Pi*b*csgn(I*c*x^n)^3+3*I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+6*b*ln(c)+2*b*n+6*a)/x^3)*ln((f*x+e)^m)-1/6*m*f*b*ln(x^n)/e/x^2+1/3*m*f^2*b*ln(x^n)/e^2/x-1/3*m*f^3*b*ln(x^n)/e^3*ln(f*x+e)+1/3*m*f^3*b*ln(x^n)/e^3*ln(x)-5/36*b*f*m*n/e/x^2+4/9*b*f^2*m*n/e^2/x-1/3/x^3*ln(c)*ln(d)*b-1/9/x^3*ln(d)*b*n-1/6*I/e^3*f^3*m*ln(f*x+e)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/12*I/e*f*m/x^2*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I/e^2*f^2*m/x*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/6/e*f*m/x^2*b*ln(c)+1/3/e^2*f^2*m/x*b*ln(c)-1/3/e^3*f^3*m*ln(f*x+e)*b*ln(c)+1/3/e^3*f^3*m*ln(x)*b*ln(c)+1/6*I/e^3*f^3*m*ln(x)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/3/e^2*f^2*m/x*a+1/6*I/x^3*Pi*a*csgn(I*d*(f*x+e)^m)^3+1/12*Pi^2*csgn(I*d*(f*x+e)^m)^3/x^3*b*csgn(I*c*x^n)^3-1/3/e^3*f^3*m*ln(f*x+e)*a+1/6*I*Pi*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)*b/x^3*ln(x^n)-1/6*I/e^2*f^2*m/x*b*Pi*csgn(I*c*x^n)^3+1/6*I/e^3*f^3*m*ln(f*x+e)*b*Pi*csgn(I*c*x^n)^3+1/6*I/x^3*ln(c)*Pi*b*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)-1/12*Pi^2*csgn(I*d*(f*x+e)^m)^3/x^3*b*csgn(I*c*x^n)^2*csgn(I*c)-1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2/x^3*b*csgn(I*c*x^n)^3-1/12*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2/x^3*b*csgn(I*c*x^n)^3-1/12*Pi^2*csgn(I*d*(f*x+e)^m)^3/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I*Pi*csgn(I*d*(f*x+e)^m)^3*b/x^3*ln(x^n)+1/12*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/12*I/e*f*m/x^2*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/3*b*f^3*m*n*ln(-1/e*f*x)*ln(f*x+e)/e^3+1/6*I/x^3*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/18*I/x^3*Pi*b*n*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)+1/12*I/e*f*m/x^2*b*Pi*csgn(I*c*x^n)^3-1/6*I/e^3*f^3*m*ln(x)*b*Pi*csgn(I*c*x^n)^3-1/6*I*Pi*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2*b/x^3*ln(x^n)-1/6*I*Pi*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2*b/x^3*ln(x^n)-1/6*I/x^3*Pi*ln(d)*b*csgn(I*c*x^n)^2*csgn(I*c)+1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2/x^3*b*csgn(I*c*x^n)^2*csgn(I*c)+1/12*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/12*Pi^2*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2/x^3*b*csgn(I*c*x^n)^2*csgn(I*c)+1/6*I/e^3*f^3*m*ln(x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/18*I/x^3*Pi*b*n*csgn(I*d*(f*x+e)^m)^3-1/6*I/x^3*Pi*a*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2-1/6*I/x^3*Pi*a*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2+1/6*I/x^3*ln(c)*Pi*b*csgn(I*d*(f*x+e)^m)^3+1/6*I/x^3*Pi*ln(d)*b*csgn(I*c*x^n)^3+1/6*I/e^3*f^3*m*ln(f*x+e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/12*I/e*f*m/x^2*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6*I/e^2*f^2*m/x*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/3*n*b*f^3*m/e^3*dilog(-1/e*f*x)-1/6*I/e^3*f^3*m*ln(f*x+e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I/e^2*f^2*m/x*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/9*b*f^3*m*n*ln(x)/e^3-1/6*b*f^3*m*n*ln(x)^2/e^3-1/9*b*f^3*m*n*ln(f*x+e)/e^3-1/6*I/x^3*ln(c)*Pi*b*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)^2-1/6*I/x^3*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/12*Pi^2*csgn(I*d)*csgn(I*(f*x+e)^m)*csgn(I*d*(f*x+e)^m)/x^3*b*csgn(I*c*x^n)^3+1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x+e)^m)^2/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2","C"
78,0,0,414,4.812000," ","int(x^2*(b*ln(c*x^n)+a)^2*ln(d*(f*x+e)^m),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{2} \ln \left(d \left(f x +e \right)^{m}\right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)^2*ln(d*(f*x+e)^m),x)","F"
79,0,0,345,6.902000," ","int(x*(b*ln(c*x^n)+a)^2*ln(d*(f*x+e)^m),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x \ln \left(d \left(f x +e \right)^{m}\right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^2*ln(d*(f*x+e)^m),x)","F"
80,0,0,288,5.154000," ","int((b*ln(c*x^n)+a)^2*ln(d*(f*x+e)^m),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(d \left(f x +e \right)^{m}\right)\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(d*(f*x+e)^m),x)","F"
81,1,21792,127,1.306000," ","int((b*ln(c*x^n)+a)^2*ln(d*(f*x+e)^m)/x,x)","\text{output too large to display}"," ",0,"result too large to display","C"
82,1,10991,248,1.271000," ","int((b*ln(c*x^n)+a)^2*ln(d*(f*x+e)^m)/x^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
83,0,0,322,5.039000," ","int((b*ln(c*x^n)+a)^2*ln(d*(f*x+e)^m)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(d \left(f x +e \right)^{m}\right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(d*(f*x+e)^m)/x^3,x)","F"
84,0,0,388,5.428000," ","int((b*ln(c*x^n)+a)^2*ln(d*(f*x+e)^m)/x^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(d \left(f x +e \right)^{m}\right)}{x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(d*(f*x+e)^m)/x^4,x)","F"
85,0,0,561,87.770000," ","int(x*(b*ln(c*x^n)+a)^3*ln(d*(f*x+e)^m),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x \ln \left(d \left(f x +e \right)^{m}\right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^3*ln(d*(f*x+e)^m),x)","F"
86,0,0,473,11.850000," ","int((b*ln(c*x^n)+a)^3*ln(d*(f*x+e)^m),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(d \left(f x +e \right)^{m}\right)\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln(d*(f*x+e)^m),x)","F"
87,1,60520,157,2.956000," ","int((b*ln(c*x^n)+a)^3*ln(d*(f*x+e)^m)/x,x)","\text{output too large to display}"," ",0,"result too large to display","C"
88,1,42181,411,2.660000," ","int((b*ln(c*x^n)+a)^3*ln(d*(f*x+e)^m)/x^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
89,0,0,521,11.453000," ","int((b*ln(c*x^n)+a)^3*ln(d*(f*x+e)^m)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(d \left(f x +e \right)^{m}\right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln(d*(f*x+e)^m)/x^3,x)","F"
90,1,2259,201,0.908000," ","int(x^3*(b*ln(c*x^n)+a)*ln(d*(f*x^2+e)^m),x)","\text{Expression too large to display}"," ",0,"1/16*I*Pi*b*m*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/16*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*x^4*b*csgn(I*c*x^n)^2*csgn(I*c)-1/16*Pi^2*csgn(I*d*(f*x^2+e)^m)^3*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/16*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*x^4*b*csgn(I*c*x^n)^3-1/16*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*a*m*x^4+1/4*a*x^4*ln(d)-1/32*I*Pi*b*n*x^4*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2-1/32*I*Pi*b*n*x^4*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2+1/8*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*b*x^4*ln(x^n)-1/8*b*m*x^4*ln(x^n)+1/4*b*x^4*ln(d)*ln(x^n)+1/4*b*e/f*m*x^2*ln(c)-1/8*I/f^2*e^2*m*ln(f*x^2+e)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I*Pi*b*x^4*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(d)+1/4*a*e/f*m*x^2+1/8*I/f^2*e^2*m*ln(f*x^2+e)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3/16*b*e/f*m*n*x^2+(1/4*b*x^4*ln(x^n)+1/16*(-2*I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+2*I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*csgn(I*c*x^n)^3-b*n+4*b*ln(c)+4*a)*x^4)*ln((f*x^2+e)^m)-1/8*I*ln(c)*Pi*b*x^4*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)-1/8*I/f*Pi*b*e*m*csgn(I*c*x^n)^3*x^2-1/8*I/f^2*e^2*m*ln(f*x^2+e)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-1/16*Pi^2*csgn(I*d*(f*x^2+e)^m)^3*x^4*b*csgn(I*c*x^n)^3-1/8*I*Pi*a*x^4*csgn(I*d*(f*x^2+e)^m)^3+1/4*b*x^4*ln(c)*ln(d)-1/8*b*m*x^4*ln(c)-1/16*b*n*x^4*ln(d)-1/8*I/f*Pi*b*e*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^2-1/8*I*Pi*b*x^4*csgn(I*c*x^n)^3*ln(d)+1/32*I*Pi*b*n*x^4*csgn(I*d*(f*x^2+e)^m)^3+1/8*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*b*x^4*ln(x^n)+1/8*I*ln(c)*Pi*b*x^4*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2+1/8*I*ln(c)*Pi*b*x^4*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2+1/16*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*x^4*b*csgn(I*c*x^n)^3+1/16*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*x^4*b*csgn(I*c*x^n)^3+1/16*Pi^2*csgn(I*d*(f*x^2+e)^m)^3*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/16*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/16*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/16*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*b*x^4*ln(x^n)+1/32*I*Pi*b*n*x^4*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)+1/8*I*Pi*b*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(d)-1/4/f^2*e^2*m*ln(f*x^2+e)*a-1/4/f^2*e^2*m*ln(f*x^2+e)*b*ln(c)+1/16*Pi^2*csgn(I*d*(f*x^2+e)^m)^3*x^4*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*b*x^4*ln(x^n)+1/8*I*Pi*b*x^4*csgn(I*c)*csgn(I*c*x^n)^2*ln(d)+1/16*b*m*n*x^4+1/8*I/f^2*e^2*m*ln(f*x^2+e)*Pi*b*csgn(I*c*x^n)^3+1/8*I/f*Pi*b*e*m*csgn(I*x^n)*csgn(I*c*x^n)^2*x^2+1/8*I/f*Pi*b*e*m*csgn(I*c*x^n)^2*csgn(I*c)*x^2-1/16*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*b*e^2/f^2*m*n*ln(x)*ln((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-1/4*b*e^2/f^2*m*n*ln(x)*ln((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/4*b*e^2/f^2*m*n*ln(x)*ln(f*x^2+e)+1/16*I*Pi*b*m*x^4*csgn(I*c*x^n)^3+1/8*I*Pi*a*x^4*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2+1/8*I*Pi*a*x^4*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2-1/16*I*Pi*b*m*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1/16*I*Pi*b*m*x^4*csgn(I*c*x^n)^2*csgn(I*c)-1/8*I*Pi*a*x^4*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)-1/16*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*x^4*b*csgn(I*c*x^n)^2*csgn(I*c)+1/4*b*e/f*m*x^2*ln(x^n)-1/16*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*x^4*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/16*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*x^4*b*csgn(I*c*x^n)^2*csgn(I*c)-1/4*b*e^2/f^2*m*n*dilog((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-1/4*b*e^2/f^2*m*n*dilog((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/16*b*e^2*m*n*ln(f*x^2+e)/f^2-1/8*I*ln(c)*Pi*b*x^4*csgn(I*d*(f*x^2+e)^m)^3-1/4*m/f^2*b*ln(x^n)*e^2*ln(f*x^2+e)","C"
91,1,2068,136,0.723000," ","int(x*(b*ln(c*x^n)+a)*ln(d*(f*x^2+e)^m),x)","\text{Expression too large to display}"," ",0,"-1/4*I*e*m/f*ln(f*x^2+e)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*a*m*x^2+(1/2*b*x^2*ln(x^n)+1/4*x^2*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)-b*n+2*a))*ln((f*x^2+e)^m)+1/2*b*e*n*m/f*dilog((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/2*b*e*n*m/f*dilog((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-1/4*I*Pi*a*x^2*csgn(I*d*(f*x^2+e)^m)^3+1/2*a*x^2*ln(d)+1/2*m/f*b*ln(x^n)*e*ln(f*x^2+e)-1/8*I*Pi*b*n*x^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2+1/4*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*b*x^2*ln(x^n)+1/4*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*b*x^2*ln(x^n)-1/4*I*x^2*Pi*ln(d)*b*csgn(I*c*x^n)^3-1/4*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*b*x^2*ln(x^n)+1/4*I*Pi*b*m*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I*Pi*b*n*x^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)-1/2*b*m*x^2*ln(x^n)+1/2*b*x^2*ln(d)*ln(x^n)-1/4*b*n*x^2*ln(d)+1/2*b*x^2*ln(c)*ln(d)-1/2*b*m*x^2*ln(c)-1/8*Pi^2*csgn(I*d*(f*x^2+e)^m)^3*x^2*b*csgn(I*c*x^n)^3+1/4*I*x^2*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*x^2*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*x^2*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*Pi^2*csgn(I*d*(f*x^2+e)^m)^3*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/8*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*x^2*b*csgn(I*c*x^n)^3-1/4*I*Pi*a*x^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)+1/4*I*ln(c)*Pi*b*x^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2-1/8*I*Pi*b*n*x^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2-1/4*I*Pi*b*m*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I*Pi*b*m*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I*ln(c)*Pi*b*x^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2-1/8*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*I*e*m/f*ln(f*x^2+e)*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*e*m/f*ln(f*x^2+e)*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*I*Pi*b*n*x^2*csgn(I*d*(f*x^2+e)^m)^3+1/4*I*Pi*a*x^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2-1/4*I*ln(c)*Pi*b*x^2*csgn(I*d*(f*x^2+e)^m)^3+1/2*e*m/f*ln(f*x^2+e)*a-1/4*b*e/f*m*n*ln(f*x^2+e)+1/2*e*m/f*ln(f*x^2+e)*b*ln(c)+1/4*I*Pi*b*m*x^2*csgn(I*c*x^n)^3+1/4*I*Pi*a*x^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2-1/4*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*b*x^2*ln(x^n)+1/8*Pi^2*csgn(I*d*(f*x^2+e)^m)^3*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*b*m*n*x^2+1/4*I*x^2*Pi*ln(d)*b*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I*x^2*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*x^2*b*csgn(I*c*x^n)^3+1/8*Pi^2*csgn(I*d*(f*x^2+e)^m)^3*x^2*b*csgn(I*c*x^n)^2*csgn(I*c)+1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*x^2*b*csgn(I*c*x^n)^3-1/2*b*e/f*m*n*ln(x)*ln(f*x^2+e)+1/2*b*e*n*m/f*ln(x)*ln((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/2*b*e*n*m/f*ln(x)*ln((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/8*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*x^2*b*csgn(I*c*x^n)^2*csgn(I*c)+1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*e*m/f*ln(f*x^2+e)*Pi*b*csgn(I*c*x^n)^3-1/4*I*ln(c)*Pi*b*x^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)","C"
92,0,0,105,3.566000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^2+e)^m)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^2+e)^m)/x,x)","F"
93,1,2101,179,0.677000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^2+e)^m)/x^3,x)","\text{Expression too large to display}"," ",0,"-1/2*I/e*f*m*ln(x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I/x^2*Pi*b*n*csgn(I*d*(f*x^2+e)^m)^3-1/2*b/x^2*ln(c)*ln(d)-1/4*b*n/x^2*ln(d)+1/4*I*Pi*b/x^2*csgn(I*c*x^n)^3*ln(d)-1/2*a/x^2*ln(d)-1/2*f*m/e*ln(f*x^2+e)*a-1/4*I*f*m/e*ln(f*x^2+e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I*f*m/e*ln(f*x^2+e)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*b/x^2*ln(x^n)-1/4*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*b/x^2*ln(x^n)-1/2*b/e*f*m*n*dilog((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+(-1/2*b/x^2*ln(x^n)-1/4*(-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c*x^n)^3+b*n+2*b*ln(c)+2*a)/x^2)*ln((f*x^2+e)^m)-1/2*b/x^2*ln(d)*ln(x^n)-1/2*I/e*f*m*ln(x)*b*Pi*csgn(I*c*x^n)^3+1/8*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^2*b*csgn(I*c*x^n)^3-1/4*I/x^2*Pi*a*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2-1/4*I/x^2*Pi*a*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2+1/4*I/x^2*ln(c)*Pi*b*csgn(I*d*(f*x^2+e)^m)^3-1/8*I/x^2*Pi*b*n*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2-1/8*I/x^2*Pi*b*n*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2-1/2*b/e*f*m*n*ln(x)*ln((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-1/2*b/e*f*m*n*ln(x)*ln((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/2*b/e*f*m*n*ln(x)*ln(f*x^2+e)+1/2*I/e*f*m*ln(x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I/e*f*m*ln(x)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^2*b*csgn(I*c*x^n)^3-1/8*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^2*b*csgn(I*c*x^n)^3+m*f*b*ln(x^n)*ln(x)/e-1/2*m*f*b*ln(x^n)/e*ln(f*x^2+e)-1/4*I/x^2*ln(c)*Pi*b*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2-1/4*I/x^2*ln(c)*Pi*b*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2+1/4*I/x^2*Pi*a*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)+1/2*b/e*f*m*n*ln(x)-1/2*b/e*f*m*n*ln(x)^2-1/2*b/e*f*m*n*dilog((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/8*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*b/x^2*ln(x^n)+1/8*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+a/e*f*m*ln(x)+1/8*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^2*b*csgn(I*c*x^n)^2*csgn(I*c)+1/8*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+b/e*f*m*ln(c)*ln(x)+1/4*I*Pi*b/x^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(d)-1/2*f*m/e*ln(f*x^2+e)*b*ln(c)-1/8*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^2*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/8*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*Pi*b/x^2*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(d)-1/4*I*Pi*b/x^2*csgn(I*c)*csgn(I*c*x^n)^2*ln(d)+1/4*I*f*m/e*ln(f*x^2+e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/8*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^2*b*csgn(I*c*x^n)^2*csgn(I*c)-1/4*b*f*m*n*ln(f*x^2+e)/e+1/4*I/x^2*ln(c)*Pi*b*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)+1/8*I/x^2*Pi*b*n*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)+1/4*I*f*m/e*ln(f*x^2+e)*b*Pi*csgn(I*c*x^n)^3+1/4*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*b/x^2*ln(x^n)+1/4*I/x^2*Pi*a*csgn(I*d*(f*x^2+e)^m)^3+1/8*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^2*b*csgn(I*c*x^n)^3+1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^2*b*csgn(I*c*x^n)^2*csgn(I*c)","C"
94,1,2313,226,0.733000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^2+e)^m)/x^5,x)","\text{Expression too large to display}"," ",0,"1/8*I/e*f*m/x^2*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*b/e^2*f^2*m*ln(x)*ln(x^n)-1/16*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^4*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/16*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^4*b*csgn(I*c*x^n)^2*csgn(I*c)-1/16*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^4*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I/x^4*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*ln(d)*b/x^4*ln(x^n)-1/2*a/e^2*f^2*m*ln(x)-1/4*a/e*f*m/x^2-1/4/x^4*ln(d)*a-1/4/x^4*ln(c)*ln(d)*b-1/16/x^4*ln(d)*b*n+1/32*I/x^4*Pi*b*n*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)-1/4*b/e*f*m/x^2*ln(x^n)+1/16*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^4*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/16*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^4*b*csgn(I*c*x^n)^2*csgn(I*c)+1/16*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^4*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3/16*b/e*f*m*n/x^2+(-1/4*b/x^4*ln(x^n)-1/16*(2*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-2*I*Pi*b*csgn(I*c*x^n)^3+2*I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+4*b*ln(c)+b*n+4*a)/x^4)*ln((f*x^2+e)^m)+1/4*b/e^2*f^2*m*n*dilog((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/4*b/e^2*f^2*m*n*dilog((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/8*I/e^2*f^2*m*ln(f*x^2+e)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/16*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^4*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*b/e*f*m/x^2*ln(c)-1/8*I/x^4*Pi*ln(d)*b*csgn(I*c*x^n)^2*csgn(I*c)-1/8*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*b/x^4*ln(x^n)-1/8*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*b/x^4*ln(x^n)-1/32*I/x^4*Pi*b*n*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2-1/8*b/e^2*f^2*m*n*ln(x)+1/4*b/e^2*f^2*m*n*ln(x)^2-1/4*I*Pi*b/e^2*f^2*m*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(x)+1/4*m*f^2*b*ln(x^n)/e^2*ln(f*x^2+e)+1/16*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^4*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/16*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^4*b*csgn(I*c*x^n)^2*csgn(I*c)+1/4/e^2*f^2*m*ln(f*x^2+e)*a+1/8*I/x^4*Pi*a*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)-1/8*I/x^4*ln(c)*Pi*b*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2-1/8*I/x^4*ln(c)*Pi*b*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2+1/16*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^4*b*csgn(I*c*x^n)^3+1/8*I/x^4*Pi*a*csgn(I*d*(f*x^2+e)^m)^3-1/4*I*Pi*b/e^2*f^2*m*csgn(I*c)*csgn(I*c*x^n)^2*ln(x)-1/16*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^4*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*b/e^2*f^2*m*n*ln(x)*ln((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/4*b/e^2*f^2*m*n*ln(x)*ln((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-1/4*b/e^2*f^2*m*n*ln(x)*ln(f*x^2+e)-1/2*b/e^2*f^2*m*ln(c)*ln(x)+1/4*I*Pi*b/e^2*f^2*m*csgn(I*c*x^n)^3*ln(x)-1/8*I/e^2*f^2*m*ln(f*x^2+e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*I*Pi*b/e^2*f^2*m*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(x)-1/32*I/x^4*Pi*b*n*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2+1/16*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^4*b*csgn(I*c*x^n)^3+1/8*I/e*f*m/x^2*b*Pi*csgn(I*c*x^n)^3-1/8*I/e^2*f^2*m*ln(f*x^2+e)*b*Pi*csgn(I*c*x^n)^3+1/4/e^2*f^2*m*ln(f*x^2+e)*b*ln(c)-1/16*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^4*b*csgn(I*c*x^n)^3-1/16*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^4*b*csgn(I*c*x^n)^2*csgn(I*c)+1/8*I/x^4*ln(c)*Pi*b*csgn(I*d*(f*x^2+e)^m)^3+1/8*I/x^4*Pi*ln(d)*b*csgn(I*c*x^n)^3-1/8*I/e*f*m/x^2*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I/e*f*m/x^2*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/8*I/e^2*f^2*m*ln(f*x^2+e)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/32*I/x^4*Pi*b*n*csgn(I*d*(f*x^2+e)^m)^3-1/8*I/x^4*Pi*a*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2-1/8*I/x^4*Pi*a*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2+1/8*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*b/x^4*ln(x^n)-1/16*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^4*b*csgn(I*c*x^n)^3-1/16*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^4*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I/x^4*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*b/x^4*ln(x^n)+1/8*I/x^4*ln(c)*Pi*b*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)+1/16*b*f^2*m*n*ln(f*x^2+e)/e^2","C"
95,1,2321,195,0.566000," ","int(x^2*(b*ln(c*x^n)+a)*ln(d*(f*x^2+e)^m),x)","\text{Expression too large to display}"," ",0,"-1/3*I*m/f*x*e*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/9*b*n*x^3*ln(d)+1/3*b*x^3*ln(c)*ln(d)-2/9*b*m*x^3*ln(c)+(1/3*b*x^3*ln(x^n)+1/18*(-3*I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+3*I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+3*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*Pi*b*csgn(I*c*x^n)^3-2*b*n+6*b*ln(c)+6*a)*x^3)*ln((f*x^2+e)^m)-1/12*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*x^3*b*csgn(I*c*x^n)^2*csgn(I*c)-1/12*Pi^2*csgn(I*d*(f*x^2+e)^m)^3*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/6*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*b*x^3*ln(x^n)+1/3*a*x^3*ln(d)-2/9*b*m*x^3*ln(x^n)+1/3*b*x^3*ln(d)*ln(x^n)-1/6*I*Pi*b*x^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(d)-2/9*a*m*x^3-1/6*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*b*x^3*ln(x^n)+1/6*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*a*x^3-1/6*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*x^3*b*ln(c)-1/6*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*b*x^3*ln(x^n)+1/3*I*m/f*e^2/(e*f)^(1/2)*arctan(x*f/(e*f)^(1/2))*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/9*I*m*x^3*Pi*b*csgn(I*c*x^n)^3+1/6*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*a*x^3-2/3*m/f*e^2/(e*f)^(1/2)*arctan(x*f/(e*f)^(1/2))*b*ln(c)+2/9*m/f*e^2/(e*f)^(1/2)*arctan(x*f/(e*f)^(1/2))*b*n-1/3*m/f*b*n*e^2/(-e*f)^(1/2)*dilog((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/3*m/f*b*n*e^2/(-e*f)^(1/2)*dilog((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/18*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*b*x^3*n+1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*x^3*b*csgn(I*c*x^n)^3+1/12*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*x^3*b*csgn(I*c*x^n)^3-8/9*b*e/f*m*n*x-1/18*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*b*x^3*n-1/6*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*a*x^3+1/6*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*x^3*b*ln(c)+1/6*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*b*x^3*ln(x^n)-1/18*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*b*x^3*n-1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*x^3*b*csgn(I*c*x^n)^2*csgn(I*c)-1/12*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/3*I*m/f*e^2/(e*f)^(1/2)*arctan(x*f/(e*f)^(1/2))*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)-1/3*I*m/f*e^2/(e*f)^(1/2)*arctan(x*f/(e*f)^(1/2))*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-2/3*m/f*e^2/(e*f)^(1/2)*arctan(x*f/(e*f)^(1/2))*a-1/6*I*Pi*b*x^3*csgn(I*c*x^n)^3*ln(d)-1/6*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*a*x^3-1/12*Pi^2*csgn(I*d*(f*x^2+e)^m)^3*x^3*b*csgn(I*c*x^n)^3+1/6*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*x^3*b*ln(c)+1/12*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/12*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*x^3*b*csgn(I*c*x^n)^2*csgn(I*c)+1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/12*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2/3*a*e/f*m*x+1/9*I*m*x^3*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*I*m/f*x*e*Pi*b*csgn(I*c*x^n)^3+1/18*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*b*x^3*n+2/3*m/f*b*e^2/(e*f)^(1/2)*arctan(x*f/(e*f)^(1/2))*n*ln(x)-1/3*m/f*b*n*e^2/(-e*f)^(1/2)*ln(x)*ln((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/3*m/f*b*n*e^2/(-e*f)^(1/2)*ln(x)*ln((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-1/6*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*x^3*b*ln(c)-2/3*m/f*b*e^2/(e*f)^(1/2)*arctan(x*f/(e*f)^(1/2))*ln(x^n)+1/3*I*m/f*x*e*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+1/3*I*m/f*e^2/(e*f)^(1/2)*arctan(x*f/(e*f)^(1/2))*Pi*b*csgn(I*c*x^n)^3+1/3*I*m/f*x*e*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/12*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/12*Pi^2*csgn(I*d*(f*x^2+e)^m)^3*x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/12*Pi^2*csgn(I*d*(f*x^2+e)^m)^3*x^3*b*csgn(I*c*x^n)^2*csgn(I*c)+4/27*b*m*n*x^3-1/9*I*m*x^3*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/9*I*m*x^3*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)+2/3*b*e/f*m*x*ln(c)+1/6*I*Pi*b*x^3*csgn(I*c)*csgn(I*c*x^n)^2*ln(d)-1/12*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*x^3*b*csgn(I*c*x^n)^3+1/6*I*Pi*b*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(d)+2/3*b*e/f*m*x*ln(x^n)","C"
96,1,2001,158,0.501000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^2+e)^m),x)","\text{Expression too large to display}"," ",0,"-2*m*b*ln(x^n)*x+ln(d)*ln(x^n)*x*b-I*m*e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+(b*x*ln(x^n)+1/2*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)-2*b*n+2*a)*x)*ln((f*x^2+e)^m)-2*b*m*x*ln(c)+b*x*ln(c)*ln(d)-b*n*x*ln(d)-1/4*Pi^2*x*b*csgn(I*d)*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*d*(f*x^2+e)^m)^2-1/4*Pi^2*x*b*csgn(I*d)*csgn(I*c*x^n)^2*csgn(I*d*(f*x^2+e)^m)^2*csgn(I*c)-1/4*Pi^2*x*b*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2+m*b*n*e/(-e*f)^(1/2)*ln(x)*ln((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-m*b*n*e/(-e*f)^(1/2)*ln(x)*ln((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+4*b*m*n*x-2*a*m*x+a*x*ln(d)+2*m*e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*ln(c)+1/4*Pi^2*x*b*csgn(I*d)*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*d*(f*x^2+e)^m)^2*csgn(I*c)+1/4*Pi^2*x*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*csgn(I*c)+I*m*x*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*ln(c)*Pi*x*b*csgn(I*d*(f*x^2+e)^m)^3+1/2*I*Pi*x*b*n*csgn(I*d*(f*x^2+e)^m)^3-I*m*x*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I*m*x*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/4*Pi^2*x*b*csgn(I*d)*csgn(I*c*x^n)^3*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)+2*a*m*e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)-2*m*b*e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*n*ln(x)-1/4*Pi^2*x*b*csgn(I*c*x^n)^3*csgn(I*d*(f*x^2+e)^m)^3-1/2*I*Pi*x*a*csgn(I*d*(f*x^2+e)^m)^3-1/2*I*ln(x^n)*Pi*x*b*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)-1/2*I*ln(c)*Pi*x*b*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)+1/2*I*Pi*x*b*n*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)-I*m*e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*c*x^n)^3+1/4*Pi^2*x*b*csgn(I*d)*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)+1/4*Pi^2*x*b*csgn(I*d)*csgn(I*c*x^n)^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*csgn(I*c)-1/2*I*Pi*ln(d)*b*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*Pi^2*x*b*csgn(I*d)*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*csgn(I*c)+I*m*e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+I*m*e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*Pi*ln(d)*b*x*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*ln(c)*Pi*x*b*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2+1/2*I*ln(x^n)*Pi*x*b*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2-1/2*I*Pi*ln(d)*b*x*csgn(I*c*x^n)^3+1/4*Pi^2*x*b*csgn(I*c*x^n)^3*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2+1/4*Pi^2*x*b*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*d*(f*x^2+e)^m)^3+I*m*x*b*Pi*csgn(I*c*x^n)^3+1/2*I*Pi*x*a*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2-1/4*Pi^2*x*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*d*(f*x^2+e)^m)^3*csgn(I*c)-1/4*Pi^2*x*b*csgn(I*c*x^n)^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*csgn(I*c)-1/2*I*Pi*x*b*n*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2-1/2*I*Pi*x*b*n*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2-1/2*I*Pi*x*a*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)+1/2*I*ln(x^n)*Pi*x*b*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2-2*m*e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*n+m*b*n*e/(-e*f)^(1/2)*dilog((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-m*b*n*e/(-e*f)^(1/2)*dilog((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+2*m*b*e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*ln(x^n)+1/2*I*ln(c)*Pi*x*b*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2+1/2*I*Pi*x*a*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2+1/4*Pi^2*x*b*csgn(I*c*x^n)^2*csgn(I*d*(f*x^2+e)^m)^3*csgn(I*c)+1/4*Pi^2*x*b*csgn(I*d)*csgn(I*c*x^n)^3*csgn(I*d*(f*x^2+e)^m)^2-1/2*I*ln(x^n)*Pi*x*b*csgn(I*d*(f*x^2+e)^m)^3+1/2*I*Pi*ln(d)*b*x*csgn(I*c*x^n)^2*csgn(I*c)","C"
97,1,1972,143,0.552000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^2+e)^m)/x^2,x)","\text{Expression too large to display}"," ",0,"-a/x*ln(d)-I*m*f/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-ln(d)*b/x*ln(x^n)+(-b/x*ln(x^n)-1/2*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)+2*b*n+2*a)/x)*ln((f*x^2+e)^m)-1/2*I/x*Pi*ln(d)*b*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*a/x-b/x*ln(c)*ln(d)-b*n/x*ln(d)+1/2*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*b/x*ln(x^n)-1/4*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x*b*csgn(I*c*x^n)^3-1/4*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x*b*csgn(I*c*x^n)^3+1/4*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x*b*csgn(I*c*x^n)^2*csgn(I*c)-2*m*f*b/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*n*ln(x)+m*f*b*n/(-e*f)^(1/2)*ln(x)*ln((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-m*f*b*n/(-e*f)^(1/2)*ln(x)*ln((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-1/2*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x*b*ln(c)-1/2*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*b/x*ln(x^n)+2*m*f/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*a+1/4*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*b*n/x-1/4*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x*b*csgn(I*x^n)*csgn(I*c*x^n)^2+2*m*f*b/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*ln(x^n)+2*m*f/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*n+m*f*b*n/(-e*f)^(1/2)*dilog((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-m*f*b*n/(-e*f)^(1/2)*dilog((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+2*m*f/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*ln(c)-I*m*f/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*c*x^n)^3+1/2*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x*b*ln(c)-1/4*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x*b*csgn(I*c*x^n)^2*csgn(I*c)-1/4*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*b/x*ln(x^n)+1/2*I/x*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*m*f/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I*m*f/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*a/x+1/4*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x*b*csgn(I*c*x^n)^3+1/4*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*b/x*ln(x^n)-1/2*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*b*n/x-1/4*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x*b*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*b*n/x+1/2*I/x*Pi*ln(d)*b*csgn(I*c*x^n)^3-1/2*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*b*n/x-1/2*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x*b*ln(c)-1/2*I/x*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x*b*csgn(I*c*x^n)^3+1/4*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x*b*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*a/x-1/2*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*a/x+1/2*I*Pi*csgn(I*d*(f*x^2+e)^m)^3/x*b*ln(c)","C"
98,1,2204,175,0.593000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^2+e)^m)/x^4,x)","\text{Expression too large to display}"," ",0,"-1/3*I*m*f^2/e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+(-1/3*b/x^3*ln(x^n)-1/18*(3*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-3*I*Pi*b*csgn(I*c*x^n)^3+3*I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+6*b*ln(c)+2*b*n+6*a)/x^3)*ln((f*x^2+e)^m)+1/3*I*m*f/e/x*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2/3*b/e*f*m/x*ln(x^n)-1/3*ln(d)*b/x^3*ln(x^n)-1/3*a/x^3*ln(d)+1/3*I*m*f^2/e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/18*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*b*n/x^3-8/9*b/e*f*m*n/x-1/3*b/x^3*ln(c)*ln(d)-1/9*b*n/x^3*ln(d)-1/6*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^3*b*ln(c)+1/6*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*a/x^3-1/6*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^3*b*ln(c)+1/12*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6*I/x^3*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/18*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*b*n/x^3+1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*b/x^3*ln(x^n)+1/18*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*b*n/x^3-1/6*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*a/x^3-1/12*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^3*b*csgn(I*c*x^n)^3-1/3*I*m*f^2/e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-2/9*m*f^2/e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*n-1/3*m*f^2*b*n/e/(-e*f)^(1/2)*dilog((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/3*m*f^2*b*n/e/(-e*f)^(1/2)*dilog((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-2/3*m*f^2/e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*ln(c)+1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^3*b*csgn(I*c*x^n)^2*csgn(I*c)+1/12*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2+1/12*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^3*b*csgn(I*c*x^n)^2*csgn(I*c)+1/6*I/x^3*Pi*ln(d)*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*I*m*f/e/x*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/6*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*b/x^3*ln(x^n)+2/3*m*f^2*b/e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*n*ln(x)-1/3*m*f^2*b*n/e/(-e*f)^(1/2)*ln(x)*ln((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/3*m*f^2*b*n/e/(-e*f)^(1/2)*ln(x)*ln((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))+1/6*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*a/x^3-1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/12*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/3*I*m*f/e/x*b*Pi*csgn(I*c*x^n)^3+1/6*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^3*b*ln(c)+1/12*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^3*b*csgn(I*c*x^n)^3+1/18*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*b*n/x^3+1/6*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*b/x^3*ln(x^n)-1/12*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/12*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^3*b*csgn(I*c*x^n)^2*csgn(I*c)+1/12*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^3*b*csgn(I*c*x^n)^3-1/6*I/x^3*Pi*ln(d)*b*csgn(I*c*x^n)^2*csgn(I*c)-2/3*m*f^2*b/e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*ln(x^n)-2/3*a/e*f*m/x-2/3*b/e*f*m/x*ln(c)-1/6*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*a/x^3+1/6*I*Pi*csgn(I*d*(f*x^2+e)^m)^3/x^3*b*ln(c)-1/6*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*b/x^3*ln(x^n)-1/3*I*m*f/e/x*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/3*I*m*f^2/e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*c*x^n)^3+1/6*I/x^3*Pi*ln(d)*b*csgn(I*c*x^n)^3+1/12*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2/3*m*f^2/e/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*a-1/12*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^3*b*csgn(I*c*x^n)^3-1/12*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^3*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/12*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^3*b*csgn(I*c*x^n)^2*csgn(I*c)","C"
99,1,2385,211,0.594000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^2+e)^m)/x^6,x)","\text{Expression too large to display}"," ",0,"-1/5*ln(d)/x^5*a-1/5*ln(d)/x^5*b*ln(c)-1/25*ln(d)*b*n/x^5+(-1/5*b/x^5*ln(x^n)-1/50*(5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-5*I*b*Pi*csgn(I*c*x^n)^3+5*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+10*b*ln(c)+2*b*n+10*a)/x^5)*ln((f*x^2+e)^m)-1/5*ln(d)*b/x^5*ln(x^n)-1/5*I*m*f^3/e^2/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/15*I*m*f/e/x^3*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/5*I*m*f^2/e^2/x*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/15*I*m*f/e/x^3*b*Pi*csgn(I*c*x^n)^3-1/5*I*m*f^2/e^2/x*b*Pi*csgn(I*c*x^n)^3+1/50*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*b*n/x^5+1/20*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^5*b*csgn(I*x^n)*csgn(I*c*x^n)^2+12/25*b/e^2*f^2*m*n/x+1/20*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^5*b*csgn(I*c*x^n)^2*csgn(I*c)+1/20*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^5*b*csgn(I*c*x^n)^3-1/10*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^5*b*ln(c)-1/10*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*b/x^5*ln(x^n)+2/5*m*f^3/e^2/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*a+1/5*I*m*f^3/e^2/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/15*I*m*f/e/x^3*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/20*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^5*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2/5*b/e^2*f^2*m/x*ln(c)+1/10*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^5*b*ln(c)+1/10*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)*b/x^5*ln(x^n)+1/10*I*Pi*csgn(I*d*(f*x^2+e)^m)^3/x^5*b*ln(c)+1/10*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*b/x^5*ln(x^n)+1/50*I*Pi*csgn(I*d*(f*x^2+e)^m)^3*b*n/x^5-1/20*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^5*b*csgn(I*x^n)*csgn(I*c*x^n)^2+2/5*m*f^3*b/e^2/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*ln(x^n)+1/5*I*m*f^3/e^2/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/5*I*m*f^2/e^2/x*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/5*I*m*f^2/e^2/x*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/5*I*m*f^3/e^2/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*Pi*csgn(I*c*x^n)^3+2/5*a/e^2*f^2*m/x-1/20*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^5*b*csgn(I*c*x^n)^2*csgn(I*c)-1/20*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^5*b*csgn(I*c*x^n)^3-1/20*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^5*b*csgn(I*c*x^n)^3+1/10*I*ln(d)/x^5*b*Pi*csgn(I*c*x^n)^3+1/10*I*Pi*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^5*a-1/10*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^5*b*ln(c)-1/20*Pi^2*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^5*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/20*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^5*b*csgn(I*x^n)*csgn(I*c*x^n)^2-1/20*Pi^2*csgn(I*d)*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)/x^5*b*csgn(I*c*x^n)^2*csgn(I*c)+1/10*I*ln(d)/x^5*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/50*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2*b*n/x^5+1/20*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^5*b*csgn(I*c*x^n)^3-2/15*m*f/e/x^3*a+1/5*m*f^3*b*n/e^2/(-e*f)^(1/2)*ln(x)*ln((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-1/5*m*f^3*b*n/e^2/(-e*f)^(1/2)*ln(x)*ln((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-2/5*m*f^3*b/e^2/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*n*ln(x)+1/10*I*Pi*csgn(I*d*(f*x^2+e)^m)^3/x^5*a-1/20*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^5*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2/5*m*f^3/e^2/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*ln(c)-1/10*I*ln(d)/x^5*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/10*I*ln(d)/x^5*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/20*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^5*b*csgn(I*x^n)*csgn(I*c*x^n)^2-2/15*m*f*b/e/x^3*ln(x^n)+1/20*Pi^2*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^5*b*csgn(I*c*x^n)^2*csgn(I*c)+1/20*Pi^2*csgn(I*d*(f*x^2+e)^m)^3/x^5*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2/5*m*f^2*b*ln(x^n)/e^2/x-1/10*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2/x^5*a-1/10*I*Pi*csgn(I*(f*x^2+e)^m)*csgn(I*d*(f*x^2+e)^m)^2/x^5*a-2/15*m*f/e/x^3*b*ln(c)-1/10*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*b/x^5*ln(x^n)-1/50*I*Pi*csgn(I*d)*csgn(I*d*(f*x^2+e)^m)^2*b*n/x^5-1/15*I*m*f/e/x^3*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+2/25*m*f^3/e^2/(e*f)^(1/2)*arctan(1/(e*f)^(1/2)*f*x)*b*n+1/5*m*f^3*b*n/e^2/(-e*f)^(1/2)*dilog((-f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-1/5*m*f^3*b*n/e^2/(-e*f)^(1/2)*dilog((f*x+(-e*f)^(1/2))/(-e*f)^(1/2))-16/225*b*f*m*n/e/x^3","C"
100,0,0,288,5.869000," ","int(x*(b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m),x)","F"
101,0,0,137,5.164000," ","int((b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m)/x,x)","F"
102,0,0,256,5.346000," ","int((b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m)/x^3,x)","F"
103,0,0,330,5.537000," ","int((b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m)/x^5,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)}{x^{5}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m)/x^5,x)","F"
104,0,0,506,111.553000," ","int(x^2*(b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{2} \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m),x)","F"
105,0,0,462,130.676000," ","int((b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m),x)","F"
106,0,0,394,69.215000," ","int((b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m)/x^2,x)","F"
107,0,0,455,113.911000," ","int((b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m)/x^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)}{x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(d*(f*x^2+e)^m)/x^4,x)","F"
108,0,0,478,10.374000," ","int(x*(b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m),x)","F"
109,0,0,169,7.036000," ","int((b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m)/x,x)","F"
110,0,0,421,11.546000," ","int((b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m)/x^3,x)","F"
111,0,0,894,185.479000," ","int(x^2*(b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x^{2} \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m),x)","F"
112,0,0,829,123.980000," ","int((b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m),x)","F"
113,0,0,731,112.495000," ","int((b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m)/x^2,x)","F"
114,0,0,819,146.864000," ","int((b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m)/x^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(d \left(f \,x^{2}+e \right)^{m}\right)}{x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln(d*(f*x^2+e)^m)/x^4,x)","F"
115,0,0,341,0.187000," ","int(x^2*(b*ln(c*x^n)+a)*ln(d*(e+f*x^(1/2))^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) x^{2} \ln \left(d \left(f \sqrt{x}+e \right)^{k}\right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)*ln(d*(e+f*x^(1/2))^k),x)","F"
116,0,0,267,0.086000," ","int(x*(b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) x \ln \left(d \left(f \sqrt{x}+e \right)^{k}\right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k),x)","F"
117,0,0,189,0.100000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \sqrt{x}+e \right)^{k}\right)\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k),x)","F"
118,0,0,105,0.069000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \sqrt{x}+e \right)^{k}\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x,x)","F"
119,0,0,224,0.069000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \sqrt{x}+e \right)^{k}\right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x^2,x)","F"
120,0,0,298,0.066000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \sqrt{x}+e \right)^{k}\right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x^3,x)","F"
121,0,0,370,0.066000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \sqrt{x}+e \right)^{k}\right)}{x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x^4,x)","F"
122,0,0,650,0.096000," ","int(x^2*(b*ln(c*x^n)+a)^2*ln(d*(f*x^(1/2)+e)),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{2} \ln \left(\left(f \sqrt{x}+e \right) d \right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)^2*ln(d*(f*x^(1/2)+e)),x)","F"
123,0,0,524,0.068000," ","int(x*(b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+e)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x \ln \left(\left(f \sqrt{x}+e \right) d \right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+e)*d),x)","F"
124,0,0,375,0.071000," ","int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+e)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(\left(f \sqrt{x}+e \right) d \right)\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+e)*d),x)","F"
125,0,0,131,0.092000," ","int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+e)*d)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(\left(f \sqrt{x}+e \right) d \right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+e)*d)/x,x)","F"
126,0,0,409,0.153000," ","int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+e)*d)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(\left(f \sqrt{x}+e \right) d \right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+e)*d)/x^2,x)","F"
127,0,0,536,0.161000," ","int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+e)*d)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(\left(f \sqrt{x}+e \right) d \right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln((f*x^(1/2)+e)*d)/x^3,x)","F"
128,0,0,803,0.168000," ","int(x*(b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+e)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x \ln \left(\left(f \sqrt{x}+e \right) d \right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+e)*d),x)","F"
129,0,0,597,0.087000," ","int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+e)*d),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(\left(f \sqrt{x}+e \right) d \right)\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+e)*d),x)","F"
130,0,0,162,0.131000," ","int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+e)*d)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(\left(f \sqrt{x}+e \right) d \right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+e)*d)/x,x)","F"
131,0,0,627,0.337000," ","int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+e)*d)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(\left(f \sqrt{x}+e \right) d \right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+e)*d)/x^2,x)","F"
132,0,0,812,0.326000," ","int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+e)*d)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(\left(f \sqrt{x}+e \right) d \right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln((f*x^(1/2)+e)*d)/x^3,x)","F"
133,0,0,305,0.086000," ","int(x^(3/2)*(b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) x^{\frac{3}{2}} \ln \left(d \left(f \sqrt{x}+e \right)^{k}\right)\, dx"," ",0,"int(x^(3/2)*(b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k),x)","F"
134,0,0,233,0.070000," ","int(x^(1/2)*(b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{x}\, \ln \left(d \left(f \sqrt{x}+e \right)^{k}\right)\, dx"," ",0,"int(x^(1/2)*(b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k),x)","F"
135,0,0,179,0.072000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x^(3/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \sqrt{x}+e \right)^{k}\right)}{x^{\frac{3}{2}}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x^(3/2),x)","F"
136,0,0,262,0.069000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x^(5/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \sqrt{x}+e \right)^{k}\right)}{x^{\frac{5}{2}}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x^(5/2),x)","F"
137,0,0,334,0.071000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x^(7/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \sqrt{x}+e \right)^{k}\right)}{x^{\frac{7}{2}}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^(1/2)+e)^k)/x^(7/2),x)","F"
138,0,0,30,0.392000," ","int((g*x)^q*(b*ln(c*x^n)+a)*ln(d*(e+f*x^m)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \left(g x \right)^{q} \ln \left(d \left(f \,x^{m}+e \right)^{k}\right)\, dx"," ",0,"int((g*x)^q*(b*ln(c*x^n)+a)*ln(d*(e+f*x^m)^k),x)","F"
139,0,0,181,0.300000," ","int((b*ln(c*x^n)+a)^3*ln(d*(f*x^m+e)^r)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \ln \left(d \left(f \,x^{m}+e \right)^{r}\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*ln(d*(f*x^m+e)^r)/x,x)","F"
140,0,0,146,0.129000," ","int((b*ln(c*x^n)+a)^2*ln(d*(f*x^m+e)^r)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \ln \left(d \left(f \,x^{m}+e \right)^{r}\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*ln(d*(f*x^m+e)^r)/x,x)","F"
141,0,0,110,0.130000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^r)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \,x^{m}+e \right)^{r}\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^r)/x,x)","F"
142,0,0,30,0.118000," ","int(ln(d*(f*x^m+e)^r)/x/(b*ln(c*x^n)+a),x)","\int \frac{\ln \left(d \left(f \,x^{m}+e \right)^{r}\right)}{\left(b \ln \left(c \,x^{n}\right)+a \right) x}\, dx"," ",0,"int(ln(d*(f*x^m+e)^r)/x/(b*ln(c*x^n)+a),x)","F"
143,0,0,30,0.120000," ","int(ln(d*(f*x^m+e)^r)/x/(b*ln(c*x^n)+a)^2,x)","\int \frac{\ln \left(d \left(f \,x^{m}+e \right)^{r}\right)}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x}\, dx"," ",0,"int(ln(d*(f*x^m+e)^r)/x/(b*ln(c*x^n)+a)^2,x)","F"
144,0,0,28,0.146000," ","int(x^2*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) x^{2} \ln \left(d \left(f \,x^{m}+e \right)^{k}\right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","F"
145,0,0,26,0.130000," ","int(x*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) x \ln \left(d \left(f \,x^{m}+e \right)^{k}\right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","F"
146,0,0,25,0.130000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \,x^{m}+e \right)^{k}\right)\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","F"
147,0,0,110,0.128000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \,x^{m}+e \right)^{k}\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k)/x,x)","F"
148,0,0,28,0.129000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \,x^{m}+e \right)^{k}\right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k)/x^2,x)","F"
149,0,0,28,0.134000," ","int((b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \ln \left(d \left(f \,x^{m}+e \right)^{k}\right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k)/x^3,x)","F"
150,0,0,421,0.299000," ","int((g*x)^(-1+3*m)*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \left(g x \right)^{3 m -1} \ln \left(d \left(f \,x^{m}+e \right)^{k}\right)\, dx"," ",0,"int((g*x)^(-1+3*m)*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","F"
151,0,0,351,0.303000," ","int((g*x)^(-1+2*m)*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \left(g x \right)^{2 m -1} \ln \left(d \left(f \,x^{m}+e \right)^{k}\right)\, dx"," ",0,"int((g*x)^(-1+2*m)*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","F"
152,0,0,255,0.281000," ","int((g*x)^(m-1)*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \left(g x \right)^{m -1} \ln \left(d \left(f \,x^{m}+e \right)^{k}\right)\, dx"," ",0,"int((g*x)^(m-1)*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","F"
153,0,0,302,0.275000," ","int((g*x)^(-m-1)*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \left(g x \right)^{-m -1} \ln \left(d \left(f \,x^{m}+e \right)^{k}\right)\, dx"," ",0,"int((g*x)^(-m-1)*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","F"
154,0,0,414,0.299000," ","int((g*x)^(-1-2*m)*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \left(g x \right)^{-2 m -1} \ln \left(d \left(f \,x^{m}+e \right)^{k}\right)\, dx"," ",0,"int((g*x)^(-1-2*m)*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","F"
155,0,0,484,0.298000," ","int((g*x)^(-1-3*m)*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \left(g x \right)^{-3 m -1} \ln \left(d \left(f \,x^{m}+e \right)^{k}\right)\, dx"," ",0,"int((g*x)^(-1-3*m)*(b*ln(c*x^n)+a)*ln(d*(f*x^m+e)^k),x)","F"
156,1,1640,76,0.533000," ","int(x^2*(b*ln(c*x^n)+a)*(d+e*ln(f*x^r)),x)","\frac{a e \,x^{3} \ln \left(f \right)}{3}-\frac{a e r \,x^{3}}{9}+\frac{a d \,x^{3}}{3}+\frac{b d \,x^{3} \ln \left(x^{n}\right)}{3}-\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(f \right)}{6}-\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(c \right)}{6}-\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(x^{n}\right)}{6}+\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)}{12}+\frac{i \pi  b e n \,x^{3} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)}{18}+\frac{i \pi  b e r \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{18}+\left(-\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6}+\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}+\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}-\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}-\frac{b e n \,x^{3}}{9}+\frac{b e \,x^{3} \ln \left(c \right)}{3}+\frac{b e \,x^{3} \ln \left(x^{n}\right)}{3}+\frac{a e \,x^{3}}{3}\right) \ln \left(x^{r}\right)+\frac{b d \,x^{3} \ln \left(c \right)}{3}+\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{12}+\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)}{12}+\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{12}+\frac{2 b e n r \,x^{3}}{27}-\frac{b d n \,x^{3}}{9}+\frac{i \pi  a e \,x^{3} \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{6}+\frac{i \pi  b d \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}+\frac{i \pi  b d \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}-\frac{i \pi  a e \,x^{3} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)}{6}-\frac{i \pi  b d \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6}+\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right)}{6}+\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right)}{6}+\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x^{n}\right)}{6}+\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right)}{6}+\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right)}{6}+\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x^{n}\right)}{6}-\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{12}-\frac{i \pi  b e n \,x^{3} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{18}-\frac{i \pi  b e n \,x^{3} \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{18}-\frac{i \pi  b e r \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{18}-\frac{i \pi  b e r \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{18}-\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{12}-\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{12}-\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{12}-\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{12}-\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)}{12}-\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)}{12}+\frac{b e \,x^{3} \ln \left(f \right) \ln \left(x^{n}\right)}{3}-\frac{b e r \,x^{3} \ln \left(x^{n}\right)}{9}+\frac{b e \,x^{3} \ln \left(c \right) \ln \left(f \right)}{3}-\frac{b e r \,x^{3} \ln \left(c \right)}{9}-\frac{b e n \,x^{3} \ln \left(f \right)}{9}+\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{12}+\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{12}+\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{12}+\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{12}+\frac{i \pi  b e n \,x^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{18}+\frac{i \pi  b e r \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{18}-\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(f \right)}{6}-\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(c \right)}{6}-\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(x^{n}\right)}{6}+\frac{i \pi  a e \,x^{3} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{6}-\frac{\pi^{2} b e \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{12}-\frac{i \pi  a e \,x^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{6}-\frac{i \pi  b d \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}"," ",0,"(1/3*b*e*x^3*ln(x^n)+1/6*I*Pi*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-1/6*I*Pi*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6*I*Pi*b*e*x^3*csgn(I*c*x^n)^3+1/6*I*Pi*b*e*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/3*b*e*x^3*ln(c)-1/9*b*e*n*x^3+1/3*a*e*x^3)*ln(x^r)+1/3*ln(f)*a*e*x^3-1/9*a*e*r*x^3+1/3*a*d*x^3+1/3*b*d*x^3*ln(x^n)+1/3*b*d*x^3*ln(c)-1/18*I*Pi*b*e*n*x^3*csgn(I*f)*csgn(I*f*x^r)^2+1/6*I*Pi*b*e*x^3*csgn(I*x^r)*csgn(I*f*x^r)^2*ln(x^n)+1/6*I*Pi*b*d*x^3*csgn(I*c*x^n)^2*csgn(I*c)-1/6*I*ln(c)*Pi*b*e*x^3*csgn(I*f*x^r)^3-1/6*I*Pi*ln(f)*b*e*x^3*csgn(I*c*x^n)^3+1/6*I*Pi*a*e*x^3*csgn(I*x^r)*csgn(I*f*x^r)^2+2/27*b*e*n*r*x^3-1/9*b*d*n*x^3-1/6*I*Pi*b*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/12*Pi^2*b*e*x^3*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*csgn(I*c)+1/6*I*ln(c)*Pi*b*e*x^3*csgn(I*x^r)*csgn(I*f*x^r)^2-1/18*I*Pi*b*e*r*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-1/12*Pi^2*b*e*x^3*csgn(I*c*x^n)^3*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-1/12*Pi^2*b*e*x^3*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*f*x^r)^2*csgn(I*c)-1/12*Pi^2*b*e*x^3*csgn(I*c*x^n)^2*csgn(I*x^r)*csgn(I*f*x^r)^2*csgn(I*c)-1/18*I*Pi*b*e*r*x^3*csgn(I*c*x^n)^2*csgn(I*c)-1/18*I*Pi*b*e*n*x^3*csgn(I*x^r)*csgn(I*f*x^r)^2-1/6*I*Pi*a*e*x^3*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)+1/6*I*Pi*ln(f)*b*e*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/6*I*ln(c)*Pi*b*e*x^3*csgn(I*f)*csgn(I*f*x^r)^2-1/12*Pi^2*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*f*x^r)^2-1/12*Pi^2*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*x^r)*csgn(I*f*x^r)^2-1/12*Pi^2*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f*x^r)^3*csgn(I*c)+1/6*I*Pi*ln(f)*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I*Pi*b*e*x^3*csgn(I*f)*csgn(I*f*x^r)^2*ln(x^n)-1/6*I*Pi*b*d*x^3*csgn(I*c*x^n)^3+1/18*I*Pi*b*e*r*x^3*csgn(I*c*x^n)^3+1/6*I*Pi*a*e*x^3*csgn(I*f)*csgn(I*f*x^r)^2-1/12*Pi^2*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*csgn(I*c)+1/12*Pi^2*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*x^r)*csgn(I*f*x^r)^2*csgn(I*c)+1/12*Pi^2*b*e*x^3*csgn(I*c*x^n)^3*csgn(I*f)*csgn(I*f*x^r)^2+1/12*Pi^2*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-1/6*I*Pi*b*e*x^3*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*ln(x^n)-1/6*I*ln(c)*Pi*b*e*x^3*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-1/12*Pi^2*b*e*x^3*csgn(I*c*x^n)^3*csgn(I*f*x^r)^3-1/6*I*Pi*a*e*x^3*csgn(I*f*x^r)^3+1/12*Pi^2*b*e*x^3*csgn(I*c*x^n)^3*csgn(I*x^r)*csgn(I*f*x^r)^2+1/12*Pi^2*b*e*x^3*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3*csgn(I*c)+1/3*ln(f)*b*e*x^3*ln(x^n)-1/9*b*e*r*x^3*ln(x^n)+1/3*ln(c)*ln(f)*b*e*x^3-1/9*ln(c)*b*e*r*x^3-1/9*ln(f)*b*e*n*x^3+1/18*I*Pi*b*e*n*x^3*csgn(I*f*x^r)^3-1/6*I*Pi*b*e*x^3*csgn(I*f*x^r)^3*ln(x^n)+1/18*I*Pi*b*e*n*x^3*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)+1/18*I*Pi*b*e*r*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/12*Pi^2*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f)*csgn(I*f*x^r)^2*csgn(I*c)+1/6*I*Pi*b*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/12*Pi^2*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3-1/6*I*Pi*ln(f)*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)","C"
157,1,1640,76,0.486000," ","int(x*(b*ln(c*x^n)+a)*(d+e*ln(f*x^r)),x)","\frac{a d \,x^{2}}{2}+\frac{a e \,x^{2} \ln \left(f \right)}{2}+\frac{b d \,x^{2} \ln \left(x^{n}\right)}{2}+\frac{b d \,x^{2} \ln \left(c \right)}{2}-\frac{a e r \,x^{2}}{4}-\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)}{8}+\left(-\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4}+\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{b e n \,x^{2}}{4}+\frac{b e \,x^{2} \ln \left(c \right)}{2}+\frac{b e \,x^{2} \ln \left(x^{n}\right)}{2}+\frac{a e \,x^{2}}{2}\right) \ln \left(x^{r}\right)+\frac{b e n r \,x^{2}}{4}-\frac{i \pi  b d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4}-\frac{b d n \,x^{2}}{4}-\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(c \right)}{4}-\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(x^{n}\right)}{4}-\frac{i \pi  a e \,x^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)}{4}+\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{8}+\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)}{8}+\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{8}+\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)}{8}+\frac{i \pi  b e n \,x^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)}{8}-\frac{i \pi  b e r \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b e r \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{8}-\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)}{8}-\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{8}-\frac{b e n \,x^{2} \ln \left(f \right)}{4}+\frac{b e \,x^{2} \ln \left(c \right) \ln \left(f \right)}{2}-\frac{b e r \,x^{2} \ln \left(c \right)}{4}+\frac{b e \,x^{2} \ln \left(f \right) \ln \left(x^{n}\right)}{2}-\frac{b e r \,x^{2} \ln \left(x^{n}\right)}{4}-\frac{i \pi  b e n \,x^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{8}-\frac{i \pi  b e n \,x^{2} \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{8}+\frac{i \pi  b e r \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{8}-\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(f \right)}{4}+\frac{i \pi  b d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  b d \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right)}{4}-\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{8}-\frac{i \pi  a e \,x^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{4}-\frac{i \pi  b d \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}+\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{8}+\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{8}+\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{8}+\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{8}+\frac{i \pi  b e n \,x^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{8}+\frac{i \pi  b e r \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(f \right)}{4}-\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(c \right)}{4}-\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(x^{n}\right)}{4}+\frac{i \pi  a e \,x^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{4}+\frac{i \pi  a e \,x^{2} \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{4}+\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right)}{4}+\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x^{n}\right)}{4}-\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{8}-\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{8}-\frac{\pi^{2} b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{8}+\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x^{n}\right)}{4}+\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right)}{4}+\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right)}{4}"," ",0,"1/2*a*d*x^2+(1/2*b*e*x^2*ln(x^n)+1/4*I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*Pi*b*e*x^2*csgn(I*c*x^n)^3+1/4*I*Pi*b*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/2*b*e*x^2*ln(c)-1/4*b*e*n*x^2+1/2*a*e*x^2)*ln(x^r)+1/2*ln(f)*a*e*x^2+1/2*b*d*x^2*ln(x^n)+1/2*b*d*x^2*ln(c)-1/4*r*a*e*x^2-1/4*I*Pi*b*e*x^2*csgn(I*f*x^r)^3*ln(x^n)+1/4*b*e*n*r*x^2-1/4*I*Pi*b*d*x^2*csgn(I*c*x^n)^3-1/4*b*d*n*x^2+1/4*I*Pi*b*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*Pi*b*d*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/8*Pi^2*b*e*x^2*csgn(I*c*x^n)^3*csgn(I*x^r)*csgn(I*f*x^r)^2+1/8*Pi^2*b*e*x^2*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3*csgn(I*c)-1/4*I*ln(c)*Pi*b*e*x^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-1/8*I*Pi*b*e*n*x^2*csgn(I*x^r)*csgn(I*f*x^r)^2-1/8*I*Pi*b*e*r*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I*Pi*b*e*r*x^2*csgn(I*c*x^n)^2*csgn(I*c)-1/8*Pi^2*b*e*x^2*csgn(I*c*x^n)^3*csgn(I*f*x^r)^3-1/4*I*Pi*a*e*x^2*csgn(I*f*x^r)^3-1/8*I*Pi*b*e*n*x^2*csgn(I*f)*csgn(I*f*x^r)^2-1/4*I*ln(c)*Pi*b*e*x^2*csgn(I*f*x^r)^3-1/4*I*Pi*ln(f)*b*e*x^2*csgn(I*c*x^n)^3+1/8*I*Pi*b*e*n*x^2*csgn(I*f*x^r)^3-1/4*ln(f)*b*e*n*x^2+1/2*ln(c)*ln(f)*b*e*x^2-1/4*ln(c)*b*e*r*x^2+1/4*I*ln(c)*Pi*b*e*x^2*csgn(I*x^r)*csgn(I*f*x^r)^2+1/4*I*Pi*ln(f)*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*Pi*ln(f)*b*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/2*ln(f)*b*e*x^2*ln(x^n)-1/4*b*e*r*x^2*ln(x^n)-1/4*I*Pi*b*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*I*ln(c)*Pi*b*e*x^2*csgn(I*f)*csgn(I*f*x^r)^2-1/4*I*Pi*a*e*x^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-1/8*Pi^2*b*e*x^2*csgn(I*c*x^n)^2*csgn(I*x^r)*csgn(I*f*x^r)^2*csgn(I*c)+1/4*I*Pi*b*e*x^2*csgn(I*f)*csgn(I*f*x^r)^2*ln(x^n)+1/4*I*Pi*b*e*x^2*csgn(I*x^r)*csgn(I*f*x^r)^2*ln(x^n)-1/8*Pi^2*b*e*x^2*csgn(I*c*x^n)^3*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-1/8*Pi^2*b*e*x^2*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*f*x^r)^2*csgn(I*c)-1/8*Pi^2*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*f*x^r)^2-1/8*Pi^2*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*x^r)*csgn(I*f*x^r)^2-1/8*Pi^2*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f*x^r)^3*csgn(I*c)+1/8*Pi^2*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*x^r)*csgn(I*f*x^r)^2*csgn(I*c)+1/8*Pi^2*b*e*x^2*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*csgn(I*c)-1/4*I*Pi*b*e*x^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*ln(x^n)+1/8*Pi^2*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3+1/8*Pi^2*b*e*x^2*csgn(I*c*x^n)^3*csgn(I*f)*csgn(I*f*x^r)^2-1/4*I*Pi*ln(f)*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I*Pi*b*e*n*x^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)+1/8*Pi^2*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)+1/8*Pi^2*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f)*csgn(I*f*x^r)^2*csgn(I*c)+1/8*I*Pi*b*e*r*x^2*csgn(I*c*x^n)^3+1/4*I*Pi*a*e*x^2*csgn(I*f)*csgn(I*f*x^r)^2+1/4*I*Pi*a*e*x^2*csgn(I*x^r)*csgn(I*f*x^r)^2-1/8*Pi^2*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*csgn(I*c)+1/8*I*Pi*b*e*r*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)","C"
158,1,1503,77,0.447000," ","int((b*ln(c*x^n)+a)*(d+e*ln(f*x^r)),x)","a d x +b d x \ln \left(x^{n}\right)+a e x \ln \left(f \right)+\left(-\frac{i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}+\frac{i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{i \pi  b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}-b e n x +b e x \ln \left(c \right)+b e x \ln \left(x^{n}\right)+a e x \right) \ln \left(x^{r}\right)-a e r x +b d x \ln \left(c \right)+\frac{i \pi  b e r x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}-\frac{i \pi  b d x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}-\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{4}-\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{4}-\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{4}-\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{4}-\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)}{4}-\frac{i \pi  a e x \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{2}-\frac{i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(f \right)}{2}+b e x \ln \left(c \right) \ln \left(f \right)-b e r x \ln \left(c \right)-b e n x \ln \left(f \right)+\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{4}+\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)}{4}+\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{4}+2 b e n r x +\frac{i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right)}{2}+\frac{i \pi  b e x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right)}{2}+\frac{i \pi  b e x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x^{n}\right)}{2}+\frac{i \pi  b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right)}{2}+\frac{i \pi  b e x \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right)}{2}+\frac{i \pi  b e x \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x^{n}\right)}{2}-\frac{i \pi  a e x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)}{2}-\frac{i \pi  b d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}-b e r x \ln \left(x^{n}\right)+b e x \ln \left(f \right) \ln \left(x^{n}\right)-\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{4}-\frac{i \pi  b e n x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{2}-\frac{i \pi  b e n x \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{2}-\frac{i \pi  b e r x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b e r x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(f \right)}{2}-\frac{i \pi  b e x \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(c \right)}{2}-\frac{i \pi  b e x \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(x^{n}\right)}{2}+\frac{i \pi  a e x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{2}+\frac{i \pi  a e x \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{2}+\frac{i \pi  b d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{i \pi  b d x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{4}+\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{4}+\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{4}+\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{4}+\frac{i \pi  b e n x \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{2}+\frac{i \pi  b e r x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}-b d n x -\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)}{4}-\frac{i \pi  b e x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(c \right)}{2}-\frac{i \pi  b e x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(x^{n}\right)}{2}+\frac{\pi^{2} b e x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)}{4}+\frac{i \pi  b e n x \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)}{2}-\frac{\pi^{2} b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{4}"," ",0,"(x*b*e*ln(x^n)+1/2*I*Pi*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*Pi*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*Pi*b*e*x*csgn(I*c*x^n)^3+1/2*I*Pi*b*e*x*csgn(I*c*x^n)^2*csgn(I*c)+b*e*x*ln(c)-b*e*n*x+a*e*x)*ln(x^r)+a*d*x+b*d*x*ln(x^n)+ln(f)*a*e*x-r*a*e*x+1/2*I*Pi*b*e*n*x*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)+b*d*x*ln(c)-1/2*I*ln(c)*Pi*b*e*x*csgn(I*f*x^r)^3-1/2*I*Pi*b*e*x*csgn(I*f*x^r)^3*ln(x^n)+1/2*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)*x-1/2*I*Pi*a*e*x*csgn(I*f*x^r)^3-1/4*Pi^2*b*e*x*csgn(I*c*x^n)^3*csgn(I*f*x^r)^3-1/2*I*Pi*b*d*csgn(I*c*x^n)^3*x+1/2*I*Pi*b*e*r*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*Pi*b*e*x*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*ln(x^n)+1/4*Pi^2*b*e*x*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3*csgn(I*c)+1/2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*x-1/2*I*Pi*ln(f)*b*e*x*csgn(I*c*x^n)^3+1/2*I*Pi*b*e*n*x*csgn(I*f*x^r)^3+1/2*I*Pi*b*e*r*x*csgn(I*c*x^n)^3-1/4*Pi^2*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*csgn(I*c)+ln(c)*ln(f)*b*e*x-ln(c)*b*e*r*x-ln(f)*b*e*n*x-1/2*I*Pi*ln(f)*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*b*e*n*r*x+1/4*Pi^2*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f)*csgn(I*f*x^r)^2*csgn(I*c)+1/4*Pi^2*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3+1/4*Pi^2*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*x^r)*csgn(I*f*x^r)^2*csgn(I*c)+1/4*Pi^2*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)+1/2*I*Pi*a*e*x*csgn(I*f)*csgn(I*f*x^r)^2+1/2*I*Pi*a*e*x*csgn(I*x^r)*csgn(I*f*x^r)^2-1/2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-b*e*r*x*ln(x^n)+ln(f)*b*e*x*ln(x^n)-1/2*I*Pi*b*e*n*x*csgn(I*x^r)*csgn(I*f*x^r)^2-1/2*I*Pi*b*e*r*x*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*Pi*b*e*r*x*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*ln(c)*Pi*b*e*x*csgn(I*x^r)*csgn(I*f*x^r)^2-1/2*I*Pi*b*e*n*x*csgn(I*f)*csgn(I*f*x^r)^2+1/2*I*ln(c)*Pi*b*e*x*csgn(I*f)*csgn(I*f*x^r)^2-1/4*Pi^2*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*f*x^r)^2-1/4*Pi^2*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*x^r)*csgn(I*f*x^r)^2-1/4*Pi^2*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f*x^r)^3*csgn(I*c)-1/4*Pi^2*b*e*x*csgn(I*c*x^n)^3*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-1/4*Pi^2*b*e*x*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*f*x^r)^2*csgn(I*c)-1/4*Pi^2*b*e*x*csgn(I*c*x^n)^2*csgn(I*x^r)*csgn(I*f*x^r)^2*csgn(I*c)-1/2*I*Pi*a*e*x*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)+1/2*I*Pi*b*e*x*csgn(I*f)*csgn(I*f*x^r)^2*ln(x^n)+1/2*I*Pi*b*e*x*csgn(I*x^r)*csgn(I*f*x^r)^2*ln(x^n)+1/2*I*Pi*ln(f)*b*e*x*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*Pi*ln(f)*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*Pi^2*b*e*x*csgn(I*c*x^n)^3*csgn(I*f)*csgn(I*f*x^r)^2+1/4*Pi^2*b*e*x*csgn(I*c*x^n)^3*csgn(I*x^r)*csgn(I*f*x^r)^2+1/4*Pi^2*b*e*x*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*csgn(I*c)-b*d*n*x-1/2*I*ln(c)*Pi*b*e*x*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)","C"
159,1,1597,53,0.619000," ","int((b*ln(c*x^n)+a)*(d+e*ln(f*x^r))/x,x)","a e \ln \left(f \right) \ln \left(x \right)-\frac{a e r \ln \left(x \right)^{2}}{2}+a d \ln \left(x \right)+b d \ln \left(c \right) \ln \left(x \right)-\frac{b d n \ln \left(x \right)^{2}}{2}-\frac{\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right)}{4}+b d \ln \left(x \right) \ln \left(x^{n}\right)+b e \ln \left(f \right) \ln \left(x \right) \ln \left(x^{n}\right)-\frac{b e r \ln \left(x \right)^{2} \ln \left(x^{n}\right)}{2}+\left(-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(x \right)}{2}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2}-\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-\frac{b e n \ln \left(x \right)^{2}}{2}+b e \ln \left(c \right) \ln \left(x \right)+b e \ln \left(x \right) \ln \left(x^{n}\right)+a e \ln \left(x \right)\right) \ln \left(x^{r}\right)-\frac{\pi^{2} b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(x \right)}{4}-\frac{i \pi  a e \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(x \right)}{2}-\frac{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-\frac{\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(x \right)}{4}+b e \ln \left(c \right) \ln \left(f \right) \ln \left(x \right)+\frac{b e n r \ln \left(x \right)^{3}}{3}-\frac{b e r \ln \left(c \right) \ln \left(x \right)^{2}}{2}-\frac{b e n \ln \left(f \right) \ln \left(x \right)^{2}}{2}-\frac{\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(x \right)}{4}-\frac{\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right)}{4}-\frac{\pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right)}{4}-\frac{\pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(x \right)}{4}-\frac{\pi^{2} b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right)}{4}-\frac{i \pi  b e n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right)^{2}}{4}-\frac{i \pi  b e n \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right)^{2}}{4}-\frac{i \pi  b e r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)^{2}}{4}-\frac{i \pi  b e r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)^{2}}{4}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right) \ln \left(x \right)}{2}+\frac{i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right) \ln \left(x \right)}{2}+\frac{i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right) \ln \left(x^{n}\right)}{2}+\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right) \ln \left(x \right)}{2}+\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right) \ln \left(x \right)}{2}+\frac{\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right)}{4}+\frac{\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(x \right)}{4}+\frac{\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right)}{4}+\frac{\pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(x \right)}{4}+\frac{i \pi  b e n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(x \right)^{2}}{4}+\frac{i \pi  b e r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(x \right)^{2}}{4}-\frac{i \pi  b e \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(x \right) \ln \left(x^{n}\right)}{2}+\frac{i \pi  a e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  a e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2}+\frac{\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(x \right)}{4}+\frac{\pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right)}{4}+\frac{\pi^{2} b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(x \right)}{4}+\frac{\pi^{2} b e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right)}{4}+\frac{i \pi  b e n \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(x \right)^{2}}{4}+\frac{i \pi  b e r \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)^{2}}{4}-\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(f \right) \ln \left(x \right)}{2}-\frac{i \pi  b e \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(c \right) \ln \left(x \right)}{2}+\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x \right) \ln \left(x^{n}\right)}{2}-\frac{i \pi  a e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(x \right)}{2}-\frac{i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(x \right)}{2}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(f \right) \ln \left(x \right)}{2}-\frac{i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(c \right) \ln \left(x \right)}{2}-\frac{i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(x \right) \ln \left(x^{n}\right)}{2}"," ",0,"-1/4*Pi^2*ln(x)*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*csgn(I*c)+(b*e*ln(x)*ln(x^n)-1/2*b*e*n*ln(x)^2+1/2*I*Pi*ln(x)*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*Pi*ln(x)*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*Pi*ln(x)*b*e*csgn(I*c*x^n)^3+1/2*I*Pi*ln(x)*b*e*csgn(I*c*x^n)^2*csgn(I*c)+ln(c)*ln(x)*b*e+ln(x)*a*e)*ln(x^r)+ln(f)*ln(x)*a*e-1/2*ln(x)^2*a*e*r+a*d*ln(x)+b*d*ln(c)*ln(x)-1/2*b*d*n*ln(x)^2+1/2*I*ln(x)*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+ln(x^n)*b*d*ln(x)+ln(x^n)*ln(f)*b*e*ln(x)-1/2*ln(x^n)*r*b*e*ln(x)^2+ln(c)*ln(f)*ln(x)*b*e+1/3*b*e*n*r*ln(x)^3-1/2*ln(x)^2*ln(c)*b*e*r-1/2*ln(x)^2*ln(f)*b*e*n-1/2*I*ln(x)*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*ln(c)*Pi*ln(x)*b*e*csgn(I*f*x^r)^3-1/2*I*Pi*ln(f)*ln(x)*b*e*csgn(I*c*x^n)^3+1/2*I*Pi*ln(x)*a*e*csgn(I*f)*csgn(I*f*x^r)^2+1/2*I*Pi*ln(x)*a*e*csgn(I*x^r)*csgn(I*f*x^r)^2-1/2*I*ln(c)*Pi*ln(x)*b*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)+1/4*I*ln(x)^2*Pi*b*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*Pi^2*ln(x)*b*e*csgn(I*c*x^n)^3*csgn(I*f)*csgn(I*f*x^r)^2+1/4*Pi^2*ln(x)*b*e*csgn(I*c*x^n)^3*csgn(I*x^r)*csgn(I*f*x^r)^2+1/4*Pi^2*ln(x)*b*e*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3*csgn(I*c)-1/2*I*Pi*ln(x)*a*e*csgn(I*f*x^r)^3-1/4*Pi^2*ln(x)*b*e*csgn(I*c*x^n)^3*csgn(I*f*x^r)^3-1/4*Pi^2*ln(x)*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*f*x^r)^2-1/4*Pi^2*ln(x)*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*x^r)*csgn(I*f*x^r)^2-1/4*Pi^2*ln(x)*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f*x^r)^3*csgn(I*c)+1/4*Pi^2*ln(x)*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3-1/2*I*ln(x^n)*Pi*b*e*csgn(I*f*x^r)^3*ln(x)+1/4*I*ln(x)^2*Pi*b*e*n*csgn(I*f*x^r)^3-1/2*I*Pi*ln(f)*ln(x)*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*Pi^2*ln(x)*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)+1/4*Pi^2*ln(x)*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f)*csgn(I*f*x^r)^2*csgn(I*c)+1/4*Pi^2*ln(x)*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*x^r)*csgn(I*f*x^r)^2*csgn(I*c)+1/2*I*ln(x)*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*ln(x)*Pi*b*d*csgn(I*c*x^n)^3+1/2*I*ln(c)*Pi*ln(x)*b*e*csgn(I*x^r)*csgn(I*f*x^r)^2+1/2*I*Pi*ln(f)*ln(x)*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*Pi*ln(f)*ln(x)*b*e*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*Pi*ln(x)*a*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)+1/4*Pi^2*ln(x)*b*e*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*csgn(I*c)+1/2*I*ln(x^n)*Pi*b*e*csgn(I*f)*csgn(I*f*x^r)^2*ln(x)+1/2*I*ln(x^n)*Pi*b*e*csgn(I*x^r)*csgn(I*f*x^r)^2*ln(x)-1/4*I*ln(x)^2*Pi*b*e*n*csgn(I*f)*csgn(I*f*x^r)^2+1/4*I*ln(x)^2*Pi*b*e*r*csgn(I*c*x^n)^3+1/4*I*ln(x)^2*Pi*b*e*n*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-1/2*I*ln(x^n)*Pi*b*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*ln(x)-1/4*Pi^2*ln(x)*b*e*csgn(I*c*x^n)^3*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-1/4*Pi^2*ln(x)*b*e*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*f*x^r)^2*csgn(I*c)-1/4*Pi^2*ln(x)*b*e*csgn(I*c*x^n)^2*csgn(I*x^r)*csgn(I*f*x^r)^2*csgn(I*c)-1/4*I*ln(x)^2*Pi*b*e*r*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*ln(c)*Pi*ln(x)*b*e*csgn(I*f)*csgn(I*f*x^r)^2-1/4*I*ln(x)^2*Pi*b*e*n*csgn(I*x^r)*csgn(I*f*x^r)^2-1/4*I*ln(x)^2*Pi*b*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2","C"
160,1,1443,72,0.347000," ","int((b*ln(c*x^n)+a)*(d+e*ln(f*x^r))/x^2,x)","-\frac{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b n +2 b \ln \left(c \right)+2 b \ln \left(x^{n}\right)+2 a \right) e \ln \left(x^{r}\right)}{2 x}-\frac{4 b d n +4 a e r +\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}+\pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+\pi^{2} b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}+\pi^{2} b e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}-2 i \pi  b e n \mathrm{csgn}\left(i f \,x^{r}\right)^{3}-2 i \pi  b e r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(f \right)-2 i \pi  b e \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(c \right)-2 i \pi  b e \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(x^{n}\right)+2 i \pi  a e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+2 i \pi  a e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+4 b e r \ln \left(x^{n}\right)+4 b e \ln \left(f \right) \ln \left(x^{n}\right)+4 b e n \ln \left(f \right)+4 b e r \ln \left(c \right)+4 b e \ln \left(c \right) \ln \left(f \right)+4 b d \ln \left(x^{n}\right)+4 a e \ln \left(f \right)+4 a d +8 b e n r +4 b d \ln \left(c \right)-2 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-\pi^{2} b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}-2 i \pi  a e \mathrm{csgn}\left(i f \,x^{r}\right)^{3}+2 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 i \pi  b e r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b e r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right)+2 i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right)+2 i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x^{n}\right)+2 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right)+2 i \pi  b e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right)+2 i \pi  b e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x^{n}\right)-2 i \pi  a e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)-\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)-2 i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(x^{n}\right)+\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)+\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+\pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)-2 i \pi  b e n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)-2 i \pi  b e r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-2 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(f \right)-2 i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(c \right)+2 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}-\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{3}-\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}-\pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}-\pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)-\pi^{2} b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+2 i \pi  b e n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+2 i \pi  b e n \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{4 x}"," ",0,"-1/2*e*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)+2*b*n+2*b*ln(x^n)+2*a)/x*ln(x^r)-1/4*(4*b*d*n+4*a*e*r+4*b*e*r*ln(x^n)+4*ln(f)*b*e*ln(x^n)+4*n*ln(f)*b*e+4*ln(c)*b*e*r+4*ln(c)*ln(f)*b*e+4*b*d*ln(x^n)+2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+4*ln(f)*a*e+4*a*d+8*b*e*n*r+4*b*d*ln(c)-Pi^2*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*csgn(I*c)-Pi^2*b*e*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*f*x^r)^2*csgn(I*c)-Pi^2*b*e*csgn(I*c*x^n)^2*csgn(I*x^r)*csgn(I*f*x^r)^2*csgn(I*c)+2*I*Pi*a*e*csgn(I*f)*csgn(I*f*x^r)^2+2*I*Pi*a*e*csgn(I*x^r)*csgn(I*f*x^r)^2-2*I*Pi*b*e*r*csgn(I*c*x^n)^3-2*I*n*Pi*b*e*csgn(I*f*x^r)^3-2*I*Pi*b*e*csgn(I*f*x^r)^3*ln(x^n)+2*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+Pi^2*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3-2*I*ln(c)*Pi*b*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-2*I*Pi*ln(f)*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*b*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+Pi^2*b*e*csgn(I*c*x^n)^3*csgn(I*f)*csgn(I*f*x^r)^2+Pi^2*b*e*csgn(I*c*x^n)^3*csgn(I*x^r)*csgn(I*f*x^r)^2+Pi^2*b*e*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3*csgn(I*c)-2*I*ln(c)*Pi*b*e*csgn(I*f*x^r)^3-2*I*Pi*ln(f)*b*e*csgn(I*c*x^n)^3+2*I*ln(c)*Pi*b*e*csgn(I*f)*csgn(I*f*x^r)^2-Pi^2*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*f*x^r)^2-2*I*Pi*b*d*csgn(I*c*x^n)^3-2*I*n*Pi*b*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-2*I*Pi*b*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*ln(x^n)+Pi^2*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)+Pi^2*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f)*csgn(I*f*x^r)^2*csgn(I*c)+2*I*n*Pi*b*e*csgn(I*x^r)*csgn(I*f*x^r)^2+2*I*Pi*b*e*csgn(I*f)*csgn(I*f*x^r)^2*ln(x^n)+2*I*Pi*b*e*csgn(I*x^r)*csgn(I*f*x^r)^2*ln(x^n)-Pi^2*b*e*csgn(I*c*x^n)^3*csgn(I*f*x^r)^3-2*I*Pi*a*e*csgn(I*f*x^r)^3+Pi^2*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*x^r)*csgn(I*f*x^r)^2*csgn(I*c)+Pi^2*b*e*csgn(I*c*x^n)^2*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*csgn(I*c)-Pi^2*b*e*csgn(I*c*x^n)^3*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)+2*I*Pi*b*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2+2*I*Pi*b*e*r*csgn(I*c*x^n)^2*csgn(I*c)+2*I*n*Pi*b*e*csgn(I*f)*csgn(I*f*x^r)^2+2*I*ln(c)*Pi*b*e*csgn(I*x^r)*csgn(I*f*x^r)^2+2*I*Pi*ln(f)*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2+2*I*Pi*ln(f)*b*e*csgn(I*c*x^n)^2*csgn(I*c)-2*I*Pi*a*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-Pi^2*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*x^r)*csgn(I*f*x^r)^2-Pi^2*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f*x^r)^3*csgn(I*c))/x","C"
161,1,1442,75,0.335000," ","int((b*ln(c*x^n)+a)*(d+e*ln(f*x^r))/x^3,x)","-\frac{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+b n +2 b \ln \left(c \right)+2 b \ln \left(x^{n}\right)+2 a \right) e \ln \left(x^{r}\right)}{4 x^{2}}-\frac{2 b d n +2 a e r +\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}+\pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+\pi^{2} b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}+\pi^{2} b e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}-i \pi  b e n \mathrm{csgn}\left(i f \,x^{r}\right)^{3}-i \pi  b e r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(f \right)-2 i \pi  b e \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(c \right)-2 i \pi  b e \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(x^{n}\right)+2 i \pi  a e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+2 i \pi  a e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+2 b e r \ln \left(x^{n}\right)+4 b e \ln \left(f \right) \ln \left(x^{n}\right)+2 b e n \ln \left(f \right)+2 b e r \ln \left(c \right)+4 b e \ln \left(c \right) \ln \left(f \right)+4 b d \ln \left(x^{n}\right)+4 a e \ln \left(f \right)+4 a d +2 b e n r +4 b d \ln \left(c \right)-2 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-\pi^{2} b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}-2 i \pi  a e \mathrm{csgn}\left(i f \,x^{r}\right)^{3}+2 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b e r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right)+2 i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right)+2 i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x^{n}\right)+2 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right)+2 i \pi  b e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right)+2 i \pi  b e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x^{n}\right)-2 i \pi  a e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)-\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)-2 i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(x^{n}\right)+\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)+\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+\pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)-i \pi  b e n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)-i \pi  b e r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-2 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(f \right)-2 i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(c \right)+2 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}-\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{3}-\pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}-\pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}-\pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)-\pi^{2} b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+i \pi  b e n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+i \pi  b e n \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{8 x^{2}}"," ",0,"-1/4*e*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)+b*n+2*b*ln(x^n)+2*a)/x^2*ln(x^r)-1/8*(2*b*d*n+2*a*e*r+2*b*e*r*ln(x^n)+4*b*e*ln(f)*ln(x^n)+2*b*e*n*ln(f)+2*b*e*r*ln(c)+4*b*e*ln(c)*ln(f)+4*b*d*ln(x^n)+2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+4*a*e*ln(f)+4*a*d+2*b*e*n*r+4*b*d*ln(c)-Pi^2*b*e*csgn(I*c)*csgn(I*f)*csgn(I*x^n)*csgn(I*x^r)*csgn(I*c*x^n)*csgn(I*f*x^r)-Pi^2*b*e*csgn(I*c)*csgn(I*f)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^2-Pi^2*b*e*csgn(I*c)*csgn(I*x^r)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^2+2*I*Pi*a*e*csgn(I*f)*csgn(I*f*x^r)^2+2*I*Pi*a*e*csgn(I*x^r)*csgn(I*f*x^r)^2-2*I*Pi*b*e*csgn(I*f*x^r)^3*ln(x^n)+I*Pi*b*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*e*r*csgn(I*c*x^n)^2*csgn(I*c)+I*n*Pi*b*e*csgn(I*f)*csgn(I*f*x^r)^2+I*n*Pi*b*e*csgn(I*x^r)*csgn(I*f*x^r)^2-I*Pi*b*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*I*Pi*b*d*csgn(I*c)*csgn(I*c*x^n)^2+Pi^2*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3-2*I*Pi*b*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*ln(c)-2*I*Pi*b*e*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(f)-2*I*Pi*b*d*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+Pi^2*b*e*csgn(I*f)*csgn(I*c*x^n)^3*csgn(I*f*x^r)^2+Pi^2*b*e*csgn(I*x^r)*csgn(I*c*x^n)^3*csgn(I*f*x^r)^2+Pi^2*b*e*csgn(I*c)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3-2*I*Pi*b*e*csgn(I*f*x^r)^3*ln(c)-2*I*Pi*b*e*csgn(I*c*x^n)^3*ln(f)-I*Pi*b*e*r*csgn(I*c*x^n)^3+2*I*Pi*b*e*csgn(I*f)*csgn(I*f*x^r)^2*ln(c)-Pi^2*b*e*csgn(I*f)*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^2-2*I*Pi*b*d*csgn(I*c*x^n)^3-2*I*Pi*b*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*ln(x^n)+Pi^2*b*e*csgn(I*f)*csgn(I*x^n)*csgn(I*x^r)*csgn(I*c*x^n)^2*csgn(I*f*x^r)+Pi^2*b*e*csgn(I*c)*csgn(I*f)*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f*x^r)^2+2*I*Pi*b*e*csgn(I*f)*csgn(I*f*x^r)^2*ln(x^n)+2*I*Pi*b*e*csgn(I*x^r)*csgn(I*f*x^r)^2*ln(x^n)-Pi^2*b*e*csgn(I*c*x^n)^3*csgn(I*f*x^r)^3-2*I*Pi*a*e*csgn(I*f*x^r)^3+Pi^2*b*e*csgn(I*c)*csgn(I*x^n)*csgn(I*x^r)*csgn(I*c*x^n)*csgn(I*f*x^r)^2+Pi^2*b*e*csgn(I*c)*csgn(I*f)*csgn(I*x^r)*csgn(I*c*x^n)^2*csgn(I*f*x^r)-I*n*Pi*b*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-Pi^2*b*e*csgn(I*f)*csgn(I*x^r)*csgn(I*c*x^n)^3*csgn(I*f*x^r)-I*n*Pi*b*e*csgn(I*f*x^r)^3+2*I*Pi*b*e*csgn(I*x^r)*csgn(I*f*x^r)^2*ln(c)+2*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(f)+2*I*Pi*b*e*csgn(I*c)*csgn(I*c*x^n)^2*ln(f)-2*I*Pi*a*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-Pi^2*b*e*csgn(I*x^n)*csgn(I*x^r)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^2-Pi^2*b*e*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f*x^r)^3)/x^2","C"
162,1,1451,75,0.352000," ","int((b*ln(c*x^n)+a)*(d+e*ln(f*x^r))/x^4,x)","-\frac{\left(-3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b n +6 b \ln \left(c \right)+6 b \ln \left(x^{n}\right)+6 a \right) e \ln \left(x^{r}\right)}{18 x^{3}}-\frac{12 b d n +12 a e r +9 \pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}+9 \pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+9 \pi^{2} b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}+9 \pi^{2} b e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}-6 i \pi  b e n \mathrm{csgn}\left(i f \,x^{r}\right)^{3}-6 i \pi  b e r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-18 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(f \right)-18 i \pi  b e \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(c \right)-18 i \pi  b e \mathrm{csgn}\left(i f \,x^{r}\right)^{3} \ln \left(x^{n}\right)+18 i \pi  a e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+18 i \pi  a e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+12 b e r \ln \left(x^{n}\right)+36 b e \ln \left(f \right) \ln \left(x^{n}\right)+12 b e n \ln \left(f \right)+12 b e r \ln \left(c \right)+36 b e \ln \left(c \right) \ln \left(f \right)+36 b d \ln \left(x^{n}\right)+36 a e \ln \left(f \right)+36 a d +8 b e n r +36 b d \ln \left(c \right)-18 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-9 \pi^{2} b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}-18 i \pi  a e \mathrm{csgn}\left(i f \,x^{r}\right)^{3}+18 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 i \pi  b e r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b e r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right)+18 i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right)+18 i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x^{n}\right)+18 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(f \right)+18 i \pi  b e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(c \right)+18 i \pi  b e \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2} \ln \left(x^{n}\right)-18 i \pi  a e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)-9 \pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)-18 i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(x^{n}\right)+9 \pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+9 \pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)+9 \pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+9 \pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)-6 i \pi  b e n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)-6 i \pi  b e r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-18 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(f \right)-18 i \pi  b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right) \ln \left(c \right)+18 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 \pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}-9 \pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{3}-9 \pi^{2} b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}-9 \pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}-9 \pi^{2} b e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \mathrm{csgn}\left(i f \,x^{r}\right)-9 \pi^{2} b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+6 i \pi  b e n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}+6 i \pi  b e n \,\mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{108 x^{3}}"," ",0,"-1/18*e*(3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*b*Pi*csgn(I*c*x^n)^3+3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+6*b*ln(c)+2*b*n+6*b*ln(x^n)+6*a)/x^3*ln(x^r)-1/108*(12*b*d*n+12*a*e*r+12*b*e*r*ln(x^n)+36*b*e*ln(f)*ln(x^n)+12*b*e*n*ln(f)+12*b*e*r*ln(c)+36*b*e*ln(c)*ln(f)+36*b*d*ln(x^n)+36*a*e*ln(f)+36*a*d+8*b*e*n*r+6*I*Pi*b*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2+6*I*Pi*b*e*r*csgn(I*c*x^n)^2*csgn(I*c)+6*I*n*Pi*b*e*csgn(I*f)*csgn(I*f*x^r)^2+36*b*d*ln(c)-9*Pi^2*b*e*csgn(I*c)*csgn(I*f)*csgn(I*x^n)*csgn(I*x^r)*csgn(I*c*x^n)*csgn(I*f*x^r)-9*Pi^2*b*e*csgn(I*c)*csgn(I*f)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^2-9*Pi^2*b*e*csgn(I*c)*csgn(I*x^r)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^2+18*I*Pi*b*e*csgn(I*x^r)*csgn(I*f*x^r)^2*ln(x^n)+18*I*ln(c)*Pi*b*e*csgn(I*f)*csgn(I*f*x^r)^2+18*I*Pi*ln(f)*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2+18*I*Pi*ln(f)*b*e*csgn(I*c*x^n)^2*csgn(I*c)-18*I*Pi*a*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-18*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+9*Pi^2*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3+9*Pi^2*b*e*csgn(I*f)*csgn(I*c*x^n)^3*csgn(I*f*x^r)^2+9*Pi^2*b*e*csgn(I*x^r)*csgn(I*c*x^n)^3*csgn(I*f*x^r)^2+9*Pi^2*b*e*csgn(I*c)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^3-9*Pi^2*b*e*csgn(I*f)*csgn(I*x^n)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^2+9*Pi^2*b*e*csgn(I*f)*csgn(I*x^n)*csgn(I*x^r)*csgn(I*c*x^n)^2*csgn(I*f*x^r)+9*Pi^2*b*e*csgn(I*c)*csgn(I*f)*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f*x^r)^2-9*Pi^2*b*e*csgn(I*c*x^n)^3*csgn(I*f*x^r)^3+9*Pi^2*b*e*csgn(I*c)*csgn(I*x^n)*csgn(I*x^r)*csgn(I*c*x^n)*csgn(I*f*x^r)^2+9*Pi^2*b*e*csgn(I*c)*csgn(I*f)*csgn(I*x^r)*csgn(I*c*x^n)^2*csgn(I*f*x^r)-18*I*ln(c)*Pi*b*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-18*I*Pi*ln(f)*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-6*I*Pi*b*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-6*I*n*Pi*b*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)-18*I*Pi*b*e*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)*ln(x^n)-18*I*Pi*a*e*csgn(I*f*x^r)^3-18*I*Pi*b*d*csgn(I*c*x^n)^3+18*I*ln(c)*Pi*b*e*csgn(I*x^r)*csgn(I*f*x^r)^2+6*I*n*Pi*b*e*csgn(I*x^r)*csgn(I*f*x^r)^2+18*I*Pi*b*e*csgn(I*f)*csgn(I*f*x^r)^2*ln(x^n)-9*Pi^2*b*e*csgn(I*f)*csgn(I*x^r)*csgn(I*c*x^n)^3*csgn(I*f*x^r)+18*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-6*I*Pi*b*e*r*csgn(I*c*x^n)^3+18*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)-6*I*n*Pi*b*e*csgn(I*f*x^r)^3-18*I*Pi*b*e*csgn(I*f*x^r)^3*ln(x^n)-9*Pi^2*b*e*csgn(I*x^n)*csgn(I*x^r)*csgn(I*c*x^n)^2*csgn(I*f*x^r)^2-9*Pi^2*b*e*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*f*x^r)^3-18*I*ln(c)*Pi*b*e*csgn(I*f*x^r)^3-18*I*Pi*ln(f)*b*e*csgn(I*c*x^n)^3+18*I*Pi*a*e*csgn(I*f)*csgn(I*f*x^r)^2+18*I*Pi*a*e*csgn(I*x^r)*csgn(I*f*x^r)^2)/x^3","C"
163,1,9271,189,0.865000," ","int(x^2*(b*ln(c*x^n)+a)^2*(d+e*ln(f*x^r)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
164,1,9262,188,0.865000," ","int(x*(b*ln(c*x^n)+a)^2*(d+e*ln(f*x^r)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
165,1,8701,147,0.832000," ","int((b*ln(c*x^n)+a)^2*(d+e*ln(f*x^r)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
166,1,9164,53,1.554000," ","int((b*ln(c*x^n)+a)^2*(d+e*ln(f*x^r))/x,x)","\text{output too large to display}"," ",0,"result too large to display","C"
167,1,8407,181,0.849000," ","int((b*ln(c*x^n)+a)^2*(d+e*ln(f*x^r))/x^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
168,1,8407,186,0.842000," ","int((b*ln(c*x^n)+a)^2*(d+e*ln(f*x^r))/x^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
169,1,8407,187,0.895000," ","int((b*ln(c*x^n)+a)^2*(d+e*ln(f*x^r))/x^4,x)","\text{output too large to display}"," ",0,"result too large to display","C"
170,0,0,145,1.419000," ","int(x^2*(b*ln(c*x^n)+a)/(d+e*ln(f*x^m)),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{2}}{e \ln \left(f \,x^{m}\right)+d}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)/(d+e*ln(f*x^m)),x)","F"
171,0,0,145,7.428000," ","int(x*(b*ln(c*x^n)+a)/(e*ln(f*x^m)+d),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x}{e \ln \left(f \,x^{m}\right)+d}\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)/(e*ln(f*x^m)+d),x)","F"
172,1,2329,130,1.335000," ","int((b*ln(c*x^n)+a)/(e*ln(f*x^m)+d),x)","\text{Expression too large to display}"," ",0,"-1/2*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)+2*a)/e/m*x*(x^m)^(-1/m)*f^(-1/m)*exp(-1/2*(-I*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*e+I*Pi*csgn(I*f)*csgn(I*f*x^m)^2*e+I*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2*e-I*Pi*csgn(I*f*x^m)^3*e+2*d)/e/m)*Ei(1,-ln(x)+1/2*I*(e*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-e*Pi*csgn(I*f)*csgn(I*f*x^m)^2-e*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+e*Pi*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*e*(ln(x^m)-m*ln(x))+2*I*d)/e/m)-b/e/m*x*(x^m)^(-1/m)*f^(-1/m)*exp(-1/2*(-I*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*e+I*Pi*csgn(I*f)*csgn(I*f*x^m)^2*e+I*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2*e-I*Pi*csgn(I*f*x^m)^3*e+2*d)/e/m)*Ei(1,-ln(x)+1/2*I*(e*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-e*Pi*csgn(I*f)*csgn(I*f*x^m)^2-e*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+e*Pi*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*e*(ln(x^m)-m*ln(x))+2*I*d)/e/m)*ln(x^n)+b*n*x/e/m-1/2*I*b*n/e/m^2*x*(x^m)^(-1/m)*f^(-1/m)*exp(-1/2*(-I*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*e+I*Pi*csgn(I*f)*csgn(I*f*x^m)^2*e+I*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2*e-I*Pi*csgn(I*f*x^m)^3*e+2*d)/e/m)*Ei(1,-ln(x)+1/2*I*(e*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-e*Pi*csgn(I*f)*csgn(I*f*x^m)^2-e*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+e*Pi*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*e*(ln(x^m)-m*ln(x))+2*I*d)/e/m)*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)+1/2*I*b*n/e/m^2*x*(x^m)^(-1/m)*f^(-1/m)*exp(-1/2*(-I*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*e+I*Pi*csgn(I*f)*csgn(I*f*x^m)^2*e+I*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2*e-I*Pi*csgn(I*f*x^m)^3*e+2*d)/e/m)*Ei(1,-ln(x)+1/2*I*(e*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-e*Pi*csgn(I*f)*csgn(I*f*x^m)^2-e*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+e*Pi*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*e*(ln(x^m)-m*ln(x))+2*I*d)/e/m)*Pi*csgn(I*f)*csgn(I*f*x^m)^2+1/2*I*b*n/e/m^2*x*(x^m)^(-1/m)*f^(-1/m)*exp(-1/2*(-I*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*e+I*Pi*csgn(I*f)*csgn(I*f*x^m)^2*e+I*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2*e-I*Pi*csgn(I*f*x^m)^3*e+2*d)/e/m)*Ei(1,-ln(x)+1/2*I*(e*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-e*Pi*csgn(I*f)*csgn(I*f*x^m)^2-e*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+e*Pi*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*e*(ln(x^m)-m*ln(x))+2*I*d)/e/m)*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2-1/2*I*b*n/e/m^2*x*(x^m)^(-1/m)*f^(-1/m)*exp(-1/2*(-I*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*e+I*Pi*csgn(I*f)*csgn(I*f*x^m)^2*e+I*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2*e-I*Pi*csgn(I*f*x^m)^3*e+2*d)/e/m)*Ei(1,-ln(x)+1/2*I*(e*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-e*Pi*csgn(I*f)*csgn(I*f*x^m)^2-e*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+e*Pi*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*e*(ln(x^m)-m*ln(x))+2*I*d)/e/m)*Pi*csgn(I*f*x^m)^3+b*n/e/m^2*x*(x^m)^(-1/m)*f^(-1/m)*exp(-1/2*(-I*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*e+I*Pi*csgn(I*f)*csgn(I*f*x^m)^2*e+I*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2*e-I*Pi*csgn(I*f*x^m)^3*e+2*d)/e/m)*Ei(1,-ln(x)+1/2*I*(e*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-e*Pi*csgn(I*f)*csgn(I*f*x^m)^2-e*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+e*Pi*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*e*(ln(x^m)-m*ln(x))+2*I*d)/e/m)*ln(f)+b*n/e/m^2*x*(x^m)^(-1/m)*f^(-1/m)*exp(-1/2*(-I*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*e+I*Pi*csgn(I*f)*csgn(I*f*x^m)^2*e+I*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2*e-I*Pi*csgn(I*f*x^m)^3*e+2*d)/e/m)*Ei(1,-ln(x)+1/2*I*(e*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-e*Pi*csgn(I*f)*csgn(I*f*x^m)^2-e*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+e*Pi*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*e*(ln(x^m)-m*ln(x))+2*I*d)/e/m)*ln(x^m)+b*n/e^2/m^2*x*(x^m)^(-1/m)*f^(-1/m)*exp(-1/2*(-I*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)*e+I*Pi*csgn(I*f)*csgn(I*f*x^m)^2*e+I*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2*e-I*Pi*csgn(I*f*x^m)^3*e+2*d)/e/m)*Ei(1,-ln(x)+1/2*I*(e*Pi*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-e*Pi*csgn(I*f)*csgn(I*f*x^m)^2-e*Pi*csgn(I*x^m)*csgn(I*f*x^m)^2+e*Pi*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*e*(ln(x^m)-m*ln(x))+2*I*d)/e/m)*d","C"
173,1,1744,71,0.437000," ","int((b*ln(c*x^n)+a)/x/(e*ln(f*x^m)+d),x)","-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e \ln \left(f \right)+2 i e \ln \left(x^{m}\right)+2 i d \right)}{2 e m}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e \ln \left(f \right)+2 i e \ln \left(x^{m}\right)+2 i d \right)}{2 e m}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e \ln \left(f \right)+2 i e \ln \left(x^{m}\right)+2 i d \right)}{2 e m}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e \ln \left(f \right)+2 i e \ln \left(x^{m}\right)+2 i d \right)}{2 e m}+\frac{i \pi  b n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right) \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e m \ln \left(x \right)+2 i e \ln \left(f \right)+2 i d +2 i \left(-m \ln \left(x \right)+\ln \left(x^{m}\right)\right) e \right)}{2 e \,m^{2}}-\frac{i \pi  b n \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2} \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e m \ln \left(x \right)+2 i e \ln \left(f \right)+2 i d +2 i \left(-m \ln \left(x \right)+\ln \left(x^{m}\right)\right) e \right)}{2 e \,m^{2}}-\frac{i \pi  b n \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2} \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e m \ln \left(x \right)+2 i e \ln \left(f \right)+2 i d +2 i \left(-m \ln \left(x \right)+\ln \left(x^{m}\right)\right) e \right)}{2 e \,m^{2}}+\frac{i \pi  b n \mathrm{csgn}\left(i f \,x^{m}\right)^{3} \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e m \ln \left(x \right)+2 i e \ln \left(f \right)+2 i d +2 i \left(-m \ln \left(x \right)+\ln \left(x^{m}\right)\right) e \right)}{2 e \,m^{2}}+\frac{b n \ln \left(x \right)}{e m}+\frac{b \ln \left(c \right) \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e \ln \left(f \right)+2 i e \ln \left(x^{m}\right)+2 i d \right)}{e m}+\frac{b \ln \left(x^{n}\right) \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e m \ln \left(x \right)+2 i e \ln \left(f \right)+2 i d +2 i \left(-m \ln \left(x \right)+\ln \left(x^{m}\right)\right) e \right)}{e m}-\frac{b n \ln \left(f \right) \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e m \ln \left(x \right)+2 i e \ln \left(f \right)+2 i d +2 i \left(-m \ln \left(x \right)+\ln \left(x^{m}\right)\right) e \right)}{e \,m^{2}}-\frac{b n \ln \left(x^{m}\right) \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e m \ln \left(x \right)+2 i e \ln \left(f \right)+2 i d +2 i \left(-m \ln \left(x \right)+\ln \left(x^{m}\right)\right) e \right)}{e \,m^{2}}+\frac{a \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e \ln \left(f \right)+2 i e \ln \left(x^{m}\right)+2 i d \right)}{e m}-\frac{b d n \ln \left(\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)-\pi  e \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}-\pi  e \,\mathrm{csgn}\left(i x^{m}\right) \mathrm{csgn}\left(i f \,x^{m}\right)^{2}+\pi  e \mathrm{csgn}\left(i f \,x^{m}\right)^{3}+2 i e m \ln \left(x \right)+2 i e \ln \left(f \right)+2 i d +2 i \left(-m \ln \left(x \right)+\ln \left(x^{m}\right)\right) e \right)}{e^{2} m^{2}}"," ",0,"1/2*I/m*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*ln(x^m)*e+2*I*d)/e*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I/m*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*ln(x^m)*e+2*I*d)/e*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I/m*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*ln(x^m)*e+2*I*d)/e*b*Pi*csgn(I*c*x^n)^3+1/2*I/m*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*ln(x^m)*e+2*I*d)/e*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/m*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*ln(x^m)*e+2*I*d)/e*b*ln(c)+1/m*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*e*ln(f)+2*I*ln(x^m)*e+2*I*d)/e*a+b*n*ln(x)/e/m+1/2*I*b/e/m^2*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*ln(x)*e*m+2*I*e*ln(f)+2*I*(-m*ln(x)+ln(x^m))*e+2*I*d)*Pi*n*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-1/2*I*b/e/m^2*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*ln(x)*e*m+2*I*e*ln(f)+2*I*(-m*ln(x)+ln(x^m))*e+2*I*d)*Pi*n*csgn(I*f)*csgn(I*f*x^m)^2-1/2*I*b/e/m^2*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*ln(x)*e*m+2*I*e*ln(f)+2*I*(-m*ln(x)+ln(x^m))*e+2*I*d)*Pi*n*csgn(I*x^m)*csgn(I*f*x^m)^2+1/2*I*b/e/m^2*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*ln(x)*e*m+2*I*e*ln(f)+2*I*(-m*ln(x)+ln(x^m))*e+2*I*d)*Pi*n*csgn(I*f*x^m)^3-b/e/m^2*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*ln(x)*e*m+2*I*e*ln(f)+2*I*(-m*ln(x)+ln(x^m))*e+2*I*d)*ln(f)*n+b/e/m*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*ln(x)*e*m+2*I*e*ln(f)+2*I*(-m*ln(x)+ln(x^m))*e+2*I*d)*ln(x^n)-b/e/m^2*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*ln(x)*e*m+2*I*e*ln(f)+2*I*(-m*ln(x)+ln(x^m))*e+2*I*d)*n*ln(x^m)-b/e^2/m^2*ln(Pi*e*csgn(I*f)*csgn(I*x^m)*csgn(I*f*x^m)-Pi*e*csgn(I*f)*csgn(I*f*x^m)^2-Pi*e*csgn(I*x^m)*csgn(I*f*x^m)^2+Pi*e*csgn(I*f*x^m)^3+2*I*ln(x)*e*m+2*I*e*ln(f)+2*I*(-m*ln(x)+ln(x^m))*e+2*I*d)*d*n","C"
174,0,0,135,1.269000," ","int((b*ln(c*x^n)+a)/x^2/(e*ln(f*x^m)+d),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \ln \left(f \,x^{m}\right)+d \right) x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^2/(e*ln(f*x^m)+d),x)","F"
175,0,0,137,1.562000," ","int((b*ln(c*x^n)+a)/x^3/(e*ln(f*x^m)+d),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \ln \left(f \,x^{m}\right)+d \right) x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^3/(e*ln(f*x^m)+d),x)","F"
176,1,370,89,0.647000," ","int((b*ln(c*x^n)+a)/(d+e*ln(c*x^n))^2,x)","-\frac{\left(b e n +a e -b d \right) x \,c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} \Ei \left(1, -\ln \left(x \right)-\frac{-i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 e \ln \left(c \right)+2 d +2 \left(-n \ln \left(x \right)+\ln \left(x^{n}\right)\right) e}{2 e n}\right) {\mathrm e}^{-\frac{-i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 d}{2 e n}}}{e^{3} n^{2}}-\frac{2 \left(a e -b d \right) x}{\left(-i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 e \ln \left(c \right)+2 e \ln \left(x^{n}\right)+2 d \right) e^{2} n}"," ",0,"-2/e^2/n*x*(a*e-b*d)/(2*d+2*e*ln(c)+2*e*ln(x^n)+I*e*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I*e*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*e*Pi*csgn(I*c*x^n)^3+I*e*Pi*csgn(I*c*x^n)^2*csgn(I*c))-(b*e*n+a*e-b*d)/e^3/n^2*x*(x^n)^(-1/n)*c^(-1/n)*exp(-1/2*(I*e*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I*e*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*e*Pi*csgn(I*c*x^n)^3+I*e*Pi*csgn(I*c*x^n)^2*csgn(I*c)+2*d)/e/n)*Ei(1,-ln(x)-1/2*(I*e*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I*e*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*e*Pi*csgn(I*c*x^n)^3+I*e*Pi*csgn(I*c*x^n)^2*csgn(I*c)+2*e*ln(c)+2*e*(-n*ln(x)+ln(x^n))+2*d)/e/n)","C"
177,1,131,29,0.186000," ","int((b*ln(c*x^n)+a)/x/ln(x),x)","-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(\ln \left(x \right)\right)}{2}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(\ln \left(x \right)\right)}{2}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(\ln \left(x \right)\right)}{2}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(\ln \left(x \right)\right)}{2}-b n \ln \left(x \right) \ln \left(\ln \left(x \right)\right)+b n \ln \left(x \right)+b \ln \left(c \right) \ln \left(\ln \left(x \right)\right)+b \ln \left(x^{n}\right) \ln \left(\ln \left(x \right)\right)+a \ln \left(\ln \left(x \right)\right)"," ",0,"-b*n*ln(x)*ln(ln(x))+b*n*ln(x)+ln(ln(x))*ln(x^n)*b+1/2*I*ln(ln(x))*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*ln(ln(x))*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*ln(ln(x))*b*Pi*csgn(I*c*x^n)^3+1/2*I*ln(ln(x))*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+ln(ln(x))*b*ln(c)+ln(ln(x))*a","C"
178,0,0,350,2.060000," ","int((g*x)^m*(b*ln(c*x^n)+a)^p*(d+e*ln(f*x^r)),x)","\int \left(e \ln \left(f \,x^{r}\right)+d \right) \left(g x \right)^{m} \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int((g*x)^m*(b*ln(c*x^n)+a)^p*(d+e*ln(f*x^r)),x)","F"
179,0,0,313,1.441000," ","int(x^2*(b*ln(c*x^n)+a)^p*(e*ln(f*x^r)+d),x)","\int \left(e \ln \left(f \,x^{r}\right)+d \right) x^{2} \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)^p*(e*ln(f*x^r)+d),x)","F"
180,0,0,313,1.632000," ","int(x*(b*ln(c*x^n)+a)^p*(e*ln(f*x^r)+d),x)","\int \left(e \ln \left(f \,x^{r}\right)+d \right) x \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^p*(e*ln(f*x^r)+d),x)","F"
181,0,0,279,1.419000," ","int((b*ln(c*x^n)+a)^p*(e*ln(f*x^r)+d),x)","\int \left(e \ln \left(f \,x^{r}\right)+d \right) \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int((b*ln(c*x^n)+a)^p*(e*ln(f*x^r)+d),x)","F"
182,1,854,71,1.188000," ","int((b*ln(c*x^n)+a)^p*(e*ln(f*x^r)+d)/x,x)","-\frac{i \pi  e \left(b n \ln \left(x \right)+a +\left(-n \ln \left(x \right)-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(\mathrm{csgn}\left(i x^{n}\right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}+\ln \left(c \right)+\ln \left(x^{n}\right)\right) b \right)^{p +1} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)}{2 \left(p +1\right) b n}+\frac{i \pi  e \left(b n \ln \left(x \right)+a +\left(-n \ln \left(x \right)-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(\mathrm{csgn}\left(i x^{n}\right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}+\ln \left(c \right)+\ln \left(x^{n}\right)\right) b \right)^{p +1} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{2 \left(p +1\right) b n}+\frac{i \pi  e \left(b n \ln \left(x \right)+a +\left(-n \ln \left(x \right)-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(\mathrm{csgn}\left(i x^{n}\right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}+\ln \left(c \right)+\ln \left(x^{n}\right)\right) b \right)^{p +1} \mathrm{csgn}\left(i x^{r}\right) \mathrm{csgn}\left(i f \,x^{r}\right)^{2}}{2 \left(p +1\right) b n}-\frac{i \pi  e \left(b n \ln \left(x \right)+a +\left(-n \ln \left(x \right)-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(\mathrm{csgn}\left(i x^{n}\right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}+\ln \left(c \right)+\ln \left(x^{n}\right)\right) b \right)^{p +1} \mathrm{csgn}\left(i f \,x^{r}\right)^{3}}{2 \left(p +1\right) b n}+\frac{e r \left(b n \ln \left(x \right)+a +\left(-n \ln \left(x \right)-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(\mathrm{csgn}\left(i x^{n}\right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}+\ln \left(c \right)+\ln \left(x^{n}\right)\right) b \right)^{p +1} \ln \left(x \right)}{\left(p +1\right) b n}+\frac{e \left(b n \ln \left(x \right)+a +\left(-n \ln \left(x \right)-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(\mathrm{csgn}\left(i x^{n}\right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}+\ln \left(c \right)+\ln \left(x^{n}\right)\right) b \right)^{p +1} \ln \left(f \right)}{\left(p +1\right) b n}+\frac{d \left(b n \ln \left(x \right)+a +\left(-n \ln \left(x \right)-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(\mathrm{csgn}\left(i x^{n}\right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}+\ln \left(c \right)+\ln \left(x^{n}\right)\right) b \right)^{p +1}}{\left(p +1\right) b n}+\frac{\left(-r \ln \left(x \right)+\ln \left(x^{r}\right)\right) e \left(b n \ln \left(x \right)+a +\left(-n \ln \left(x \right)-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(\mathrm{csgn}\left(i x^{n}\right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}+\ln \left(c \right)+\ln \left(x^{n}\right)\right) b \right)^{p +1}}{\left(p +1\right) b n}-\frac{e r \left(b n \ln \left(x \right)+a +\left(-n \ln \left(x \right)-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(\mathrm{csgn}\left(i x^{n}\right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}+\ln \left(c \right)+\ln \left(x^{n}\right)\right) b \right)^{p +2}}{\left(p +1\right) \left(p +2\right) b^{2} n^{2}}"," ",0,"-1/2*I*(b*n*ln(x)+b*(ln(c)+ln(x^n)-n*ln(x)-1/2*I*Pi*csgn(I*c*x^n)*(-csgn(I*c*x^n)+csgn(I*c))*(-csgn(I*c*x^n)+csgn(I*x^n)))+a)^(p+1)/b/n/(p+1)*e*Pi*csgn(I*f)*csgn(I*x^r)*csgn(I*f*x^r)+1/2*I*(b*n*ln(x)+b*(ln(c)+ln(x^n)-n*ln(x)-1/2*I*Pi*csgn(I*c*x^n)*(-csgn(I*c*x^n)+csgn(I*c))*(-csgn(I*c*x^n)+csgn(I*x^n)))+a)^(p+1)/b/n/(p+1)*e*Pi*csgn(I*f)*csgn(I*f*x^r)^2+1/2*I*(b*n*ln(x)+b*(ln(c)+ln(x^n)-n*ln(x)-1/2*I*Pi*csgn(I*c*x^n)*(-csgn(I*c*x^n)+csgn(I*c))*(-csgn(I*c*x^n)+csgn(I*x^n)))+a)^(p+1)/b/n/(p+1)*e*Pi*csgn(I*x^r)*csgn(I*f*x^r)^2-1/2*I*(b*n*ln(x)+b*(ln(c)+ln(x^n)-n*ln(x)-1/2*I*Pi*csgn(I*c*x^n)*(-csgn(I*c*x^n)+csgn(I*c))*(-csgn(I*c*x^n)+csgn(I*x^n)))+a)^(p+1)/b/n/(p+1)*e*Pi*csgn(I*f*x^r)^3+(b*n*ln(x)+b*(ln(c)+ln(x^n)-n*ln(x)-1/2*I*Pi*csgn(I*c*x^n)*(-csgn(I*c*x^n)+csgn(I*c))*(-csgn(I*c*x^n)+csgn(I*x^n)))+a)^(p+1)/b/n/(p+1)*e*r*ln(x)+(b*n*ln(x)+b*(ln(c)+ln(x^n)-n*ln(x)-1/2*I*Pi*csgn(I*c*x^n)*(-csgn(I*c*x^n)+csgn(I*c))*(-csgn(I*c*x^n)+csgn(I*x^n)))+a)^(p+1)/b/n/(p+1)*e*ln(f)+(b*n*ln(x)+b*(ln(c)+ln(x^n)-n*ln(x)-1/2*I*Pi*csgn(I*c*x^n)*(-csgn(I*c*x^n)+csgn(I*c))*(-csgn(I*c*x^n)+csgn(I*x^n)))+a)^(p+1)/b/n/(p+1)*e*(ln(x^r)-r*ln(x))+(b*n*ln(x)+b*(ln(c)+ln(x^n)-n*ln(x)-1/2*I*Pi*csgn(I*c*x^n)*(-csgn(I*c*x^n)+csgn(I*c))*(-csgn(I*c*x^n)+csgn(I*x^n)))+a)^(p+1)/b/n/(p+1)*d-1/b^2/n^2/(p+1)*e*r*(b*n*ln(x)+b*(ln(c)+ln(x^n)-n*ln(x)-1/2*I*Pi*csgn(I*c*x^n)*(-csgn(I*c*x^n)+csgn(I*c))*(-csgn(I*c*x^n)+csgn(I*x^n)))+a)^(p+2)/(p+2)","C"
183,0,0,257,1.500000," ","int((b*ln(c*x^n)+a)^p*(e*ln(f*x^r)+d)/x^2,x)","\int \frac{\left(e \ln \left(f \,x^{r}\right)+d \right) \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^p*(e*ln(f*x^r)+d)/x^2,x)","F"
184,0,0,292,0.939000," ","int((b*ln(c*x^n)+a)^p*(e*ln(f*x^r)+d)/x^3,x)","\int \frac{\left(e \ln \left(f \,x^{r}\right)+d \right) \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^p*(e*ln(f*x^r)+d)/x^3,x)","F"
185,0,0,292,0.923000," ","int((b*ln(c*x^n)+a)^p*(e*ln(f*x^r)+d)/x^4,x)","\int \frac{\left(e \ln \left(f \,x^{r}\right)+d \right) \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}}{x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^p*(e*ln(f*x^r)+d)/x^4,x)","F"
186,1,6894,216,8.327000," ","int((e*x^2+d)*arcsin(a*x)*ln(c*x^n),x)","\text{output too large to display}"," ",0,"result too large to display","C"
187,1,5618,215,11.062000," ","int((e*x^2+d)*arccos(a*x)*ln(c*x^n),x)","\text{output too large to display}"," ",0,"result too large to display","C"
188,-1,0,166,180.000000," ","int((e*x^2+d)*arctan(a*x)*ln(c*x^n),x)","\int \left(e \,x^{2}+d \right) \arctan \left(a x \right) \ln \left(c \,x^{n}\right)\, dx"," ",0,"int((e*x^2+d)*arctan(a*x)*ln(c*x^n),x)","F"
189,-1,0,166,180.000000," ","int((e*x^2+d)*arccot(a*x)*ln(c*x^n),x)","\int \left(e \,x^{2}+d \right) \mathrm{arccot}\left(a x \right) \ln \left(c \,x^{n}\right)\, dx"," ",0,"int((e*x^2+d)*arccot(a*x)*ln(c*x^n),x)","F"
190,-2,0,214,180.000000," ","int((e*x^2+d)*arcsinh(a*x)*ln(c*x^n),x)","\int \left(e \,x^{2}+d \right) \arcsinh \left(a x \right) \ln \left(c \,x^{n}\right)\, dx"," ",0,"int((e*x^2+d)*arcsinh(a*x)*ln(c*x^n),x)","F"
191,-2,0,262,180.000000," ","int((e*x^2+d)*arccosh(a*x)*ln(c*x^n),x)","\int \left(e \,x^{2}+d \right) \mathrm{arccosh}\left(a x \right) \ln \left(c \,x^{n}\right)\, dx"," ",0,"int((e*x^2+d)*arccosh(a*x)*ln(c*x^n),x)","F"
192,-1,0,164,180.000000," ","int((e*x^2+d)*arctanh(a*x)*ln(c*x^n),x)","\int \left(e \,x^{2}+d \right) \arctanh \left(a x \right) \ln \left(c \,x^{n}\right)\, dx"," ",0,"int((e*x^2+d)*arctanh(a*x)*ln(c*x^n),x)","F"
193,-1,0,164,180.000000," ","int((e*x^2+d)*arccoth(a*x)*ln(c*x^n),x)","\int \left(e \,x^{2}+d \right) \mathrm{arccoth}\left(a x \right) \ln \left(c \,x^{n}\right)\, dx"," ",0,"int((e*x^2+d)*arccoth(a*x)*ln(c*x^n),x)","F"
194,0,0,456,10.291000," ","int((e*x^2+d)*arcsin(a*x)^2*ln(c*x^n),x)","\int \left(e \,x^{2}+d \right) \arcsin \left(a x \right)^{2} \ln \left(c \,x^{n}\right)\, dx"," ",0,"int((e*x^2+d)*arcsin(a*x)^2*ln(c*x^n),x)","F"
195,0,0,464,11.590000," ","int((e*x^2+d)*arccos(a*x)^2*ln(c*x^n),x)","\int \left(e \,x^{2}+d \right) \arccos \left(a x \right)^{2} \ln \left(c \,x^{n}\right)\, dx"," ",0,"int((e*x^2+d)*arccos(a*x)^2*ln(c*x^n),x)","F"
196,-2,0,438,180.000000," ","int((e*x^2+d)*arcsinh(a*x)^2*ln(c*x^n),x)","\int \left(e \,x^{2}+d \right) \arcsinh \left(a x \right)^{2} \ln \left(c \,x^{n}\right)\, dx"," ",0,"int((e*x^2+d)*arcsinh(a*x)^2*ln(c*x^n),x)","F"
197,-2,0,479,180.000000," ","int((e*x^2+d)*arccosh(a*x)^2*ln(c*x^n),x)","\int \left(e \,x^{2}+d \right) \mathrm{arccosh}\left(a x \right)^{2} \ln \left(c \,x^{n}\right)\, dx"," ",0,"int((e*x^2+d)*arccosh(a*x)^2*ln(c*x^n),x)","F"
198,0,0,25,0.069000," ","int((b*ln(c*x^n)+a)^p*polylog(k,e*x^q)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{p} \polylog \left(k , e \,x^{q}\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^p*polylog(k,e*x^q)/x,x)","F"
199,0,0,104,0.081000," ","int((b*ln(c*x^n)+a)^3*polylog(k,e*x^q)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} \polylog \left(k , e \,x^{q}\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3*polylog(k,e*x^q)/x,x)","F"
200,0,0,72,0.060000," ","int((b*ln(c*x^n)+a)^2*polylog(k,e*x^q)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \polylog \left(k , e \,x^{q}\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2*polylog(k,e*x^q)/x,x)","F"
201,0,0,40,0.060000," ","int((b*ln(c*x^n)+a)*polylog(k,e*x^q)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \polylog \left(k , e \,x^{q}\right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)*polylog(k,e*x^q)/x,x)","F"
202,0,0,25,0.056000," ","int(polylog(k,e*x^q)/x/(b*ln(c*x^n)+a),x)","\int \frac{\polylog \left(k , e \,x^{q}\right)}{\left(b \ln \left(c \,x^{n}\right)+a \right) x}\, dx"," ",0,"int(polylog(k,e*x^q)/x/(b*ln(c*x^n)+a),x)","F"
203,0,0,63,0.059000," ","int(polylog(k,e*x^q)/x/(b*ln(c*x^n)+a)^2,x)","\int \frac{\polylog \left(k , e \,x^{q}\right)}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x}\, dx"," ",0,"int(polylog(k,e*x^q)/x/(b*ln(c*x^n)+a)^2,x)","F"
204,0,0,96,0.060000," ","int(polylog(k,e*x^q)/x/(b*ln(c*x^n)+a)^3,x)","\int \frac{\polylog \left(k , e \,x^{q}\right)}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x}\, dx"," ",0,"int(polylog(k,e*x^q)/x/(b*ln(c*x^n)+a)^3,x)","F"
205,0,0,20,0.036000," ","int(ln(x)*polylog(n,a*x)/x,x)","\int \frac{\polylog \left(n , a x \right) \ln \left(x \right)}{x}\, dx"," ",0,"int(ln(x)*polylog(n,a*x)/x,x)","F"
206,0,0,33,0.047000," ","int(ln(x)^2*polylog(n,a*x)/x,x)","\int \frac{\polylog \left(n , a x \right) \ln \left(x \right)^{2}}{x}\, dx"," ",0,"int(ln(x)^2*polylog(n,a*x)/x,x)","F"
207,0,0,26,0.107000," ","int(q*polylog(-1+k,e*x^q)/b/n/x/(b*ln(c*x^n)+a)-polylog(k,e*x^q)/x/(b*ln(c*x^n)+a)^2,x)","\int -\frac{\polylog \left(k , e \,x^{q}\right)}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x}+\frac{q \polylog \left(k -1, e \,x^{q}\right)}{\left(b \ln \left(c \,x^{n}\right)+a \right) b n x}\, dx"," ",0,"int(q*polylog(-1+k,e*x^q)/b/n/x/(b*ln(c*x^n)+a)-polylog(k,e*x^q)/x/(b*ln(c*x^n)+a)^2,x)","F"
208,0,0,191,0.278000," ","int(x^2*(b*ln(c*x^n)+a)*polylog(2,e*x),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) x^{2} \polylog \left(2, e x \right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)*polylog(2,e*x),x)","F"
209,0,0,163,0.250000," ","int(x*(b*ln(c*x^n)+a)*polylog(2,e*x),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) x \polylog \left(2, e x \right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)*polylog(2,e*x),x)","F"
210,0,0,106,0.221000," ","int((b*ln(c*x^n)+a)*polylog(2,e*x),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \polylog \left(2, e x \right)\, dx"," ",0,"int((b*ln(c*x^n)+a)*polylog(2,e*x),x)","F"
211,0,0,26,0.237000," ","int((b*ln(c*x^n)+a)*polylog(2,e*x)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \polylog \left(2, e x \right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)*polylog(2,e*x)/x,x)","F"
212,0,0,140,0.294000," ","int((b*ln(c*x^n)+a)*polylog(2,e*x)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \polylog \left(2, e x \right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*polylog(2,e*x)/x^2,x)","F"
213,0,0,178,0.369000," ","int((b*ln(c*x^n)+a)*polylog(2,e*x)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \polylog \left(2, e x \right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*polylog(2,e*x)/x^3,x)","F"
214,0,0,223,0.431000," ","int(x^2*(b*ln(c*x^n)+a)*polylog(3,e*x),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) x^{2} \polylog \left(3, e x \right)\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)*polylog(3,e*x),x)","F"
215,0,0,195,0.424000," ","int(x*(b*ln(c*x^n)+a)*polylog(3,e*x),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) x \polylog \left(3, e x \right)\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)*polylog(3,e*x),x)","F"
216,0,0,131,0.347000," ","int((b*ln(c*x^n)+a)*polylog(3,e*x),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \polylog \left(3, e x \right)\, dx"," ",0,"int((b*ln(c*x^n)+a)*polylog(3,e*x),x)","F"
217,0,0,26,0.391000," ","int((b*ln(c*x^n)+a)*polylog(3,e*x)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \polylog \left(3, e x \right)}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)*polylog(3,e*x)/x,x)","F"
218,0,0,172,0.347000," ","int((b*ln(c*x^n)+a)*polylog(3,e*x)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \polylog \left(3, e x \right)}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*polylog(3,e*x)/x^2,x)","F"
219,0,0,210,0.456000," ","int((b*ln(c*x^n)+a)*polylog(3,e*x)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \polylog \left(3, e x \right)}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*polylog(3,e*x)/x^3,x)","F"
220,1,844,29,0.866000," ","int(-(d*x)^m*(b*ln(c*x^n)+a)*ln(1-e*x^q),x)","-\frac{\left(-\frac{\left(-m -q -1\right) e q \,x^{m +q +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +q +1\right) \left(m +1\right)}+\frac{q \,x^{m +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \,x^{q}+1\right)}{m +1}\right) b \,x^{-m} \left(d x \right)^{m} \left(-e \right)^{-\frac{m}{q}-\frac{1}{q}} \ln \left(c \right)}{q}-\frac{\left(-\frac{\left(-m -q -1\right) e q \,x^{m +q +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +q +1\right) \left(m +1\right)}+\frac{q \,x^{m +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \,x^{q}+1\right)}{m +1}\right) a \,x^{-m} \left(d x \right)^{m} \left(-e \right)^{-\frac{m}{q}-\frac{1}{q}}}{q}+\left(-\frac{\left(-\frac{\left(-m -q -1\right) e q \,x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(x \right) \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +q +1\right) \left(m +1\right)}+\frac{\left(-m -q -1\right) e q \,x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +q +1\right)^{2} \left(m +1\right)}+\frac{e q \,x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +q +1\right) \left(m +1\right)}+\frac{\left(-m -q -1\right) e q \,x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +q +1\right) \left(m +1\right)^{2}}-\frac{\left(-m -q -1\right) e \,x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \right) \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +q +1\right) \left(m +1\right)}+\frac{q \,x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(x \right) \ln \left(-e \,x^{q}+1\right)}{m +1}+\frac{\left(-m -q -1\right) e \,x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 2, \frac{m +q +1}{q}\right)}{\left(m +q +1\right) \left(m +1\right)}-\frac{q \,x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \,x^{q}+1\right)}{\left(m +1\right)^{2}}+\frac{x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \right) \ln \left(-e \,x^{q}+1\right)}{m +1}\right) b n \,x^{-m} \left(d x \right)^{m} \left(-e \right)^{-\frac{m}{q}-\frac{1}{q}}}{q}+\frac{\left(-\frac{\left(-m -q -1\right) e q \,x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +q +1\right) \left(m +1\right)}+\frac{q \,x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \,x^{q}+1\right)}{m +1}\right) b n \,x^{-m} \left(d x \right)^{m} \left(-e \right)^{-\frac{m}{q}-\frac{1}{q}} \ln \left(-e \right)}{q^{2}}\right) x"," ",0,"-(d*x)^m*x^(-m)*(-e)^(-1/q*m-1/q)*b*ln(c)/q*(q*x^(m+1)*(-e)^(1/q*m+1/q)/(m+1)*ln(1-e*x^q)-q/(1+m+q)*x^(1+m+q)*e*(-e)^(1/q*m+1/q)*(-q-m-1)/(m+1)*LerchPhi(e*x^q,1,(1+m+q)/q))+((-e)^(-1/q*m-1/q)*ln(-e)/q^2*(d*x)^m*x^(-m)*b*n*(q*x^m*(-e)^(1/q*m+1/q)/(m+1)*ln(1-e*x^q)-q/(1+m+q)*x^(q+m)*e*(-e)^(1/q*m+1/q)*(-q-m-1)/(m+1)*LerchPhi(e*x^q,1,(1+m+q)/q))-(-e)^(-1/q*m-1/q)*(d*x)^m*x^(-m)*b*n/q*(q*x^m*(-e)^(1/q*m+1/q)*ln(x)/(m+1)*ln(1-e*x^q)+x^m*(-e)^(1/q*m+1/q)*ln(-e)/(m+1)*ln(1-e*x^q)-q*x^m*(-e)^(1/q*m+1/q)/(m+1)^2*ln(1-e*x^q)+q/(1+m+q)^2*x^(q+m)*e*(-e)^(1/q*m+1/q)*(-q-m-1)/(m+1)*LerchPhi(e*x^q,1,(1+m+q)/q)-q/(1+m+q)*x^(q+m)*e*(-e)^(1/q*m+1/q)*ln(x)*(-q-m-1)/(m+1)*LerchPhi(e*x^q,1,(1+m+q)/q)-1/(1+m+q)*x^(q+m)*e*(-e)^(1/q*m+1/q)*ln(-e)*(-q-m-1)/(m+1)*LerchPhi(e*x^q,1,(1+m+q)/q)+q/(1+m+q)*x^(q+m)*e*(-e)^(1/q*m+1/q)/(m+1)*LerchPhi(e*x^q,1,(1+m+q)/q)+q/(1+m+q)*x^(q+m)*e*(-e)^(1/q*m+1/q)*(-q-m-1)/(m+1)^2*LerchPhi(e*x^q,1,(1+m+q)/q)+1/(1+m+q)*x^(q+m)*e*(-e)^(1/q*m+1/q)*(-q-m-1)/(m+1)*LerchPhi(e*x^q,2,(1+m+q)/q)))*x-(d*x)^m*x^(-m)*(-e)^(-1/q*m-1/q)*a/q*(q*x^(m+1)*(-e)^(1/q*m+1/q)/(m+1)*ln(1-e*x^q)-q/(1+m+q)*x^(1+m+q)*e*(-e)^(1/q*m+1/q)*(-q-m-1)/(m+1)*LerchPhi(e*x^q,1,(1+m+q)/q))","B"
221,1,867,179,0.352000," ","int((d*x)^m*(b*ln(c*x^n)+a)*polylog(2,e*x^q),x)","-\frac{\left(-\frac{e \,q^{2} x^{m +q +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{2}}-\frac{q^{2} x^{m +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \,x^{q}+1\right)}{\left(m +1\right)^{2}}-\frac{q \,x^{m +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(2, e \,x^{q}\right)}{m +1}\right) b \,x^{-m} \left(d x \right)^{m} \left(-e \right)^{-\frac{m}{q}-\frac{1}{q}} \ln \left(c \right)}{q}-\frac{\left(-\frac{e \,q^{2} x^{m +q +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{2}}-\frac{q^{2} x^{m +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \,x^{q}+1\right)}{\left(m +1\right)^{2}}-\frac{q \,x^{m +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(2, e \,x^{q}\right)}{m +1}\right) a \,x^{-m} \left(d x \right)^{m} \left(-e \right)^{-\frac{m}{q}-\frac{1}{q}}}{q}+\left(-\frac{\left(-\frac{e \,q^{2} x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(x \right) \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{2}}+\frac{2 e \,q^{2} x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{3}}-\frac{e q \,x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \right) \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{2}}-\frac{q^{2} x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(x \right) \ln \left(-e \,x^{q}+1\right)}{\left(m +1\right)^{2}}+\frac{e q \,x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 2, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{2}}+\frac{2 q^{2} x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \,x^{q}+1\right)}{\left(m +1\right)^{3}}-\frac{q \,x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(2, e \,x^{q}\right) \ln \left(x \right)}{m +1}-\frac{q \,x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \right) \ln \left(-e \,x^{q}+1\right)}{\left(m +1\right)^{2}}+\frac{q \,x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(2, e \,x^{q}\right)}{\left(m +1\right)^{2}}-\frac{x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(2, e \,x^{q}\right) \ln \left(-e \right)}{m +1}\right) b n \,x^{-m} \left(d x \right)^{m} \left(-e \right)^{-\frac{m}{q}-\frac{1}{q}}}{q}+\frac{\left(-\frac{e \,q^{2} x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{2}}-\frac{q^{2} x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \,x^{q}+1\right)}{\left(m +1\right)^{2}}-\frac{q \,x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(2, e \,x^{q}\right)}{m +1}\right) b n \,x^{-m} \left(d x \right)^{m} \left(-e \right)^{-\frac{m}{q}-\frac{1}{q}} \ln \left(-e \right)}{q^{2}}\right) x"," ",0,"-(d*x)^m*x^(-m)*(-e)^(-m/q-1/q)*b*ln(c)/q*(-q^2*x^(m+1)*(-e)^(m/q+1/q)/(m+1)^2*ln(-e*x^q+1)-q*x^(m+1)*(-e)^(m/q+1/q)/(m+1)*polylog(2,e*x^q)-q^2*x^(m+q+1)*e*(-e)^(m/q+1/q)/(m+1)^2*LerchPhi(e*x^q,1,(m+q+1)/q))+((-e)^(-m/q-1/q)*ln(-e)/q^2*(d*x)^m*x^(-m)*b*n*(-q^2*x^m*(-e)^(m/q+1/q)/(m+1)^2*ln(-e*x^q+1)-q*x^m*(-e)^(m/q+1/q)/(m+1)*polylog(2,e*x^q)-q^2*x^(m+q)*e*(-e)^(m/q+1/q)/(m+1)^2*LerchPhi(e*x^q,1,(m+q+1)/q))-(-e)^(-m/q-1/q)*(d*x)^m*x^(-m)*b*n/q*(-q^2*x^m*(-e)^(m/q+1/q)*ln(x)/(m+1)^2*ln(-e*x^q+1)-q*x^m*(-e)^(m/q+1/q)*ln(-e)/(m+1)^2*ln(-e*x^q+1)+2*q^2*x^m*(-e)^(m/q+1/q)/(m+1)^3*ln(-e*x^q+1)-q*x^m*(-e)^(m/q+1/q)*ln(x)/(m+1)*polylog(2,e*x^q)-x^m*(-e)^(m/q+1/q)*ln(-e)/(m+1)*polylog(2,e*x^q)+q*x^m*(-e)^(m/q+1/q)/(m+1)^2*polylog(2,e*x^q)-q^2*x^(m+q)*e*(-e)^(m/q+1/q)*ln(x)/(m+1)^2*LerchPhi(e*x^q,1,(m+q+1)/q)-q*x^(m+q)*e*(-e)^(m/q+1/q)*ln(-e)/(m+1)^2*LerchPhi(e*x^q,1,(m+q+1)/q)+2*q^2*x^(m+q)*e*(-e)^(m/q+1/q)/(m+1)^3*LerchPhi(e*x^q,1,(m+q+1)/q)+q*x^(m+q)*e*(-e)^(m/q+1/q)/(m+1)^2*LerchPhi(e*x^q,2,(m+q+1)/q)))*x-(d*x)^m*x^(-m)*(-e)^(-m/q-1/q)*a/q*(-q^2*x^(m+1)*(-e)^(m/q+1/q)/(m+1)^2*ln(-e*x^q+1)-q*x^(m+1)*(-e)^(m/q+1/q)/(m+1)*polylog(2,e*x^q)-q^2*x^(m+q+1)*e*(-e)^(m/q+1/q)/(m+1)^2*LerchPhi(e*x^q,1,(m+q+1)/q))","B"
222,1,1065,246,2.282000," ","int((d*x)^m*(b*ln(c*x^n)+a)*polylog(3,e*x^q),x)","-\frac{\left(\frac{e \,q^{3} x^{m +q +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{3}}+\frac{q^{3} x^{m +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \,x^{q}+1\right)}{\left(m +1\right)^{3}}+\frac{q^{2} x^{m +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(2, e \,x^{q}\right)}{\left(m +1\right)^{2}}-\frac{q \,x^{m +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(3, e \,x^{q}\right)}{m +1}\right) b \,x^{-m} \left(d x \right)^{m} \left(-e \right)^{-\frac{m}{q}-\frac{1}{q}} \ln \left(c \right)}{q}-\frac{\left(\frac{e \,q^{3} x^{m +q +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{3}}+\frac{q^{3} x^{m +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \,x^{q}+1\right)}{\left(m +1\right)^{3}}+\frac{q^{2} x^{m +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(2, e \,x^{q}\right)}{\left(m +1\right)^{2}}-\frac{q \,x^{m +1} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(3, e \,x^{q}\right)}{m +1}\right) a \,x^{-m} \left(d x \right)^{m} \left(-e \right)^{-\frac{m}{q}-\frac{1}{q}}}{q}+\left(-\frac{\left(\frac{e \,q^{3} x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(x \right) \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{3}}-\frac{3 e \,q^{3} x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{4}}+\frac{e \,q^{2} x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \right) \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{3}}+\frac{q^{3} x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(x \right) \ln \left(-e \,x^{q}+1\right)}{\left(m +1\right)^{3}}-\frac{e \,q^{2} x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 2, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{3}}-\frac{3 q^{3} x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \,x^{q}+1\right)}{\left(m +1\right)^{4}}+\frac{q^{2} x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(2, e \,x^{q}\right) \ln \left(x \right)}{\left(m +1\right)^{2}}+\frac{q^{2} x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \right) \ln \left(-e \,x^{q}+1\right)}{\left(m +1\right)^{3}}-\frac{2 q^{2} x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(2, e \,x^{q}\right)}{\left(m +1\right)^{3}}+\frac{q \,x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(2, e \,x^{q}\right) \ln \left(-e \right)}{\left(m +1\right)^{2}}-\frac{q \,x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(3, e \,x^{q}\right) \ln \left(x \right)}{m +1}+\frac{q \,x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(3, e \,x^{q}\right)}{\left(m +1\right)^{2}}-\frac{x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(3, e \,x^{q}\right) \ln \left(-e \right)}{m +1}\right) b n \,x^{-m} \left(d x \right)^{m} \left(-e \right)^{-\frac{m}{q}-\frac{1}{q}}}{q}+\frac{\left(\frac{e \,q^{3} x^{m +q} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \Phi \left(e \,x^{q}, 1, \frac{m +q +1}{q}\right)}{\left(m +1\right)^{3}}+\frac{q^{3} x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \ln \left(-e \,x^{q}+1\right)}{\left(m +1\right)^{3}}+\frac{q^{2} x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(2, e \,x^{q}\right)}{\left(m +1\right)^{2}}-\frac{q \,x^{m} \left(-e \right)^{\frac{m}{q}+\frac{1}{q}} \polylog \left(3, e \,x^{q}\right)}{m +1}\right) b n \,x^{-m} \left(d x \right)^{m} \left(-e \right)^{-\frac{m}{q}-\frac{1}{q}} \ln \left(-e \right)}{q^{2}}\right) x"," ",0,"-(d*x)^m*x^(-m)*(-e)^(-m/q-1/q)*b*ln(c)/q*(q^3*x^(m+1)*(-e)^(m/q+1/q)/(m+1)^3*ln(-e*x^q+1)+q^2*x^(m+1)*(-e)^(m/q+1/q)/(m+1)^2*polylog(2,e*x^q)-q*x^(m+1)*(-e)^(m/q+1/q)/(m+1)*polylog(3,e*x^q)+q^3*x^(m+q+1)*e*(-e)^(m/q+1/q)/(m+1)^3*LerchPhi(e*x^q,1,(m+q+1)/q))+((-e)^(-m/q-1/q)/q^2*ln(-e)*(d*x)^m*x^(-m)*b*n*(q^3*x^m*(-e)^(m/q+1/q)/(m+1)^3*ln(-e*x^q+1)+q^2*x^m*(-e)^(m/q+1/q)/(m+1)^2*polylog(2,e*x^q)-q*x^m*(-e)^(m/q+1/q)/(m+1)*polylog(3,e*x^q)+q^3*x^(m+q)*e*(-e)^(m/q+1/q)/(m+1)^3*LerchPhi(e*x^q,1,(m+q+1)/q))-(-e)^(-m/q-1/q)*(d*x)^m*x^(-m)*b*n/q*(q^3*x^m*(-e)^(m/q+1/q)*ln(x)/(m+1)^3*ln(-e*x^q+1)+q^2*x^m*(-e)^(m/q+1/q)*ln(-e)/(m+1)^3*ln(-e*x^q+1)-3*q^3*x^m*(-e)^(m/q+1/q)/(m+1)^4*ln(-e*x^q+1)+q^2*x^m*(-e)^(m/q+1/q)*ln(x)/(m+1)^2*polylog(2,e*x^q)+q*x^m*(-e)^(m/q+1/q)*ln(-e)/(m+1)^2*polylog(2,e*x^q)-2*q^2*x^m*(-e)^(m/q+1/q)/(m+1)^3*polylog(2,e*x^q)-q*x^m*(-e)^(m/q+1/q)*ln(x)/(m+1)*polylog(3,e*x^q)-x^m*(-e)^(m/q+1/q)*ln(-e)/(m+1)*polylog(3,e*x^q)+q*x^m*(-e)^(m/q+1/q)/(m+1)^2*polylog(3,e*x^q)+q^3*x^(m+q)*e*(-e)^(m/q+1/q)*ln(x)/(m+1)^3*LerchPhi(e*x^q,1,(m+q+1)/q)+q^2*x^(m+q)*e*(-e)^(m/q+1/q)*ln(-e)/(m+1)^3*LerchPhi(e*x^q,1,(m+q+1)/q)-3*q^3*x^(m+q)*e*(-e)^(m/q+1/q)/(m+1)^4*LerchPhi(e*x^q,1,(m+q+1)/q)-q^2*x^(m+q)*e*(-e)^(m/q+1/q)/(m+1)^3*LerchPhi(e*x^q,2,(m+q+1)/q)))*x-(d*x)^m*x^(-m)*(-e)^(-m/q-1/q)*a/q*(q^3*x^(m+1)*(-e)^(m/q+1/q)/(m+1)^3*ln(-e*x^q+1)+q^2*x^(m+1)*(-e)^(m/q+1/q)/(m+1)^2*polylog(2,e*x^q)-q*x^(m+1)*(-e)^(m/q+1/q)/(m+1)*polylog(3,e*x^q)+q^3*x^(m+q+1)*e*(-e)^(m/q+1/q)/(m+1)^3*LerchPhi(e*x^q,1,(m+q+1)/q))","B"
223,0,0,23,0.563000," ","int(x^2*ln(c*(b*x^n)^p),x)","\int x^{2} \ln \left(c \left(b \,x^{n}\right)^{p}\right)\, dx"," ",0,"int(x^2*ln(c*(b*x^n)^p),x)","F"
224,0,0,23,0.061000," ","int(x*ln(c*(b*x^n)^p),x)","\int x \ln \left(c \left(b \,x^{n}\right)^{p}\right)\, dx"," ",0,"int(x*ln(c*(b*x^n)^p),x)","F"
225,1,19,18,0.040000," ","int(ln(c*(b*x^n)^p),x)","-n p x +x \ln \left(c \left(b \,x^{n}\right)^{p}\right)"," ",0,"-n*p*x+x*ln(c*(b*x^n)^p)","A"
226,1,21,20,0.037000," ","int(ln(c*(b*x^n)^p)/x,x)","\frac{\ln \left(c \left(b \,x^{n}\right)^{p}\right)^{2}}{2 n p}"," ",0,"1/2*ln(c*(b*x^n)^p)^2/p/n","A"
227,0,0,23,0.079000," ","int(ln(c*(b*x^n)^p)/x^2,x)","\int \frac{\ln \left(c \left(b \,x^{n}\right)^{p}\right)}{x^{2}}\, dx"," ",0,"int(ln(c*(b*x^n)^p)/x^2,x)","F"
228,0,0,23,0.065000," ","int(ln(c*(b*x^n)^p)/x^3,x)","\int \frac{\ln \left(c \left(b \,x^{n}\right)^{p}\right)}{x^{3}}\, dx"," ",0,"int(ln(c*(b*x^n)^p)/x^3,x)","F"
229,0,0,23,0.063000," ","int(ln(c*(b*x^n)^p)/x^4,x)","\int \frac{\ln \left(c \left(b \,x^{n}\right)^{p}\right)}{x^{4}}\, dx"," ",0,"int(ln(c*(b*x^n)^p)/x^4,x)","F"
230,0,0,46,0.060000," ","int(x^2*ln(c*(b*x^n)^p)^2,x)","\int x^{2} \ln \left(c \left(b \,x^{n}\right)^{p}\right)^{2}\, dx"," ",0,"int(x^2*ln(c*(b*x^n)^p)^2,x)","F"
231,0,0,46,0.062000," ","int(x*ln(c*(b*x^n)^p)^2,x)","\int x \ln \left(c \left(b \,x^{n}\right)^{p}\right)^{2}\, dx"," ",0,"int(x*ln(c*(b*x^n)^p)^2,x)","F"
232,0,0,39,0.065000," ","int(ln(c*(b*x^n)^p)^2,x)","\int \ln \left(c \left(b \,x^{n}\right)^{p}\right)^{2}\, dx"," ",0,"int(ln(c*(b*x^n)^p)^2,x)","F"
233,1,21,20,0.035000," ","int(ln(c*(b*x^n)^p)^2/x,x)","\frac{\ln \left(c \left(b \,x^{n}\right)^{p}\right)^{3}}{3 n p}"," ",0,"1/3*ln(c*(b*x^n)^p)^3/p/n","A"
234,0,0,46,0.080000," ","int(ln(c*(b*x^n)^p)^2/x^2,x)","\int \frac{\ln \left(c \left(b \,x^{n}\right)^{p}\right)^{2}}{x^{2}}\, dx"," ",0,"int(ln(c*(b*x^n)^p)^2/x^2,x)","F"
235,0,0,46,0.062000," ","int(ln(c*(b*x^n)^p)^2/x^3,x)","\int \frac{\ln \left(c \left(b \,x^{n}\right)^{p}\right)^{2}}{x^{3}}\, dx"," ",0,"int(ln(c*(b*x^n)^p)^2/x^3,x)","F"
236,0,0,46,0.064000," ","int(ln(c*(b*x^n)^p)^2/x^4,x)","\int \frac{\ln \left(c \left(b \,x^{n}\right)^{p}\right)^{2}}{x^{4}}\, dx"," ",0,"int(ln(c*(b*x^n)^p)^2/x^4,x)","F"
237,0,0,135,0.659000," ","int((e*x)^q*(a+b*ln(c*(d*x^m)^n))^3,x)","\int \left(b \ln \left(c \left(d \,x^{m}\right)^{n}\right)+a \right)^{3} \left(e x \right)^{q}\, dx"," ",0,"int((e*x)^q*(a+b*ln(c*(d*x^m)^n))^3,x)","F"
238,0,0,93,0.128000," ","int((e*x)^q*(b*ln(c*(d*x^m)^n)+a)^2,x)","\int \left(b \ln \left(c \left(d \,x^{m}\right)^{n}\right)+a \right)^{2} \left(e x \right)^{q}\, dx"," ",0,"int((e*x)^q*(b*ln(c*(d*x^m)^n)+a)^2,x)","F"
239,0,0,51,0.131000," ","int((e*x)^q*(b*ln(c*(d*x^m)^n)+a),x)","\int \left(b \ln \left(c \left(d \,x^{m}\right)^{n}\right)+a \right) \left(e x \right)^{q}\, dx"," ",0,"int((e*x)^q*(b*ln(c*(d*x^m)^n)+a),x)","F"
240,0,0,87,0.092000," ","int((e*x)^q/(b*ln(c*(d*x^m)^n)+a),x)","\int \frac{\left(e x \right)^{q}}{b \ln \left(c \left(d \,x^{m}\right)^{n}\right)+a}\, dx"," ",0,"int((e*x)^q/(b*ln(c*(d*x^m)^n)+a),x)","F"
241,0,0,128,0.092000," ","int((e*x)^q/(b*ln(c*(d*x^m)^n)+a)^2,x)","\int \frac{\left(e x \right)^{q}}{\left(b \ln \left(c \left(d \,x^{m}\right)^{n}\right)+a \right)^{2}}\, dx"," ",0,"int((e*x)^q/(b*ln(c*(d*x^m)^n)+a)^2,x)","F"
242,0,0,135,0.284000," ","int((e*x)^q*(b*ln(c*(d*x^m)^n)+a)^p,x)","\int \left(e x \right)^{q} \left(b \ln \left(c \left(d \,x^{m}\right)^{n}\right)+a \right)^{p}\, dx"," ",0,"int((e*x)^q*(b*ln(c*(d*x^m)^n)+a)^p,x)","F"
243,0,0,122,0.089000," ","int(x^2*(b*ln(c*(d*x^m)^n)+a)^p,x)","\int x^{2} \left(b \ln \left(c \left(d \,x^{m}\right)^{n}\right)+a \right)^{p}\, dx"," ",0,"int(x^2*(b*ln(c*(d*x^m)^n)+a)^p,x)","F"
244,0,0,122,0.089000," ","int(x*(b*ln(c*(d*x^m)^n)+a)^p,x)","\int x \left(b \ln \left(c \left(d \,x^{m}\right)^{n}\right)+a \right)^{p}\, dx"," ",0,"int(x*(b*ln(c*(d*x^m)^n)+a)^p,x)","F"
245,0,0,113,0.091000," ","int((b*ln(c*(d*x^m)^n)+a)^p,x)","\int \left(b \ln \left(c \left(d \,x^{m}\right)^{n}\right)+a \right)^{p}\, dx"," ",0,"int((b*ln(c*(d*x^m)^n)+a)^p,x)","F"
246,1,34,33,0.038000," ","int((b*ln(c*(d*x^m)^n)+a)^p/x,x)","\frac{\left(b \ln \left(c \left(d \,x^{m}\right)^{n}\right)+a \right)^{p +1}}{\left(p +1\right) b m n}"," ",0,"(b*ln(c*(d*x^m)^n)+a)^(p+1)/b/m/n/(p+1)","A"
247,0,0,106,0.102000," ","int((b*ln(c*(d*x^m)^n)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(c \left(d \,x^{m}\right)^{n}\right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln(c*(d*x^m)^n)+a)^p/x^2,x)","F"
248,0,0,116,0.089000," ","int((b*ln(c*(d*x^m)^n)+a)^p/x^3,x)","\int \frac{\left(b \ln \left(c \left(d \,x^{m}\right)^{n}\right)+a \right)^{p}}{x^{3}}\, dx"," ",0,"int((b*ln(c*(d*x^m)^n)+a)^p/x^3,x)","F"
249,0,0,79,0.300000," ","int((b*ln(c*(d*x^m)^n)+a)/(f*x^2+e),x)","\int \frac{b \ln \left(c \left(d \,x^{m}\right)^{n}\right)+a}{f \,x^{2}+e}\, dx"," ",0,"int((b*ln(c*(d*x^m)^n)+a)/(f*x^2+e),x)","F"