1,1,264,42,0.207000," ","int(x^3*(e*x+d)*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b e \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{10}+\frac{i \pi  b e \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}+\frac{i \pi  b e \,x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}-\frac{i \pi  b e \,x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10}-\frac{i \pi  b d \,x^{4} \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 d \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{i \pi  b d \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b d \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{b e n \,x^{5}}{25}+\frac{b e \,x^{5} \ln \left(c \right)}{5}+\frac{a e \,x^{5}}{5}-\frac{b d n \,x^{4}}{16}+\frac{b d \,x^{4} \ln \left(c \right)}{4}+\frac{a d \,x^{4}}{4}+\frac{\left(4 e x +5 d \right) b \,x^{4} \ln \left(x^{n}\right)}{20}"," ",0,"1/20*b*x^4*(4*e*x+5*d)*ln(x^n)+1/10*I*Pi*b*e*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2-1/10*I*Pi*b*e*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/10*I*Pi*b*e*x^5*csgn(I*c*x^n)^3+1/10*I*Pi*b*e*x^5*csgn(I*c*x^n)^2*csgn(I*c)+1/5*ln(c)*b*e*x^5-1/25*b*e*n*x^5+1/5*a*e*x^5+1/8*I*Pi*b*d*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I*Pi*b*d*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/8*I*Pi*b*d*x^4*csgn(I*c*x^n)^3+1/8*I*Pi*b*d*x^4*csgn(I*c*x^n)^2*csgn(I*c)+1/4*ln(c)*b*d*x^4-1/16*b*d*n*x^4+1/4*a*d*x^4","C"
2,1,264,42,0.212000," ","int(x^2*(e*x+d)*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b e \,x^{4} \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^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{i \pi  b e \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b e \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\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 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  b d \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}-\frac{b e n \,x^{4}}{16}+\frac{b e \,x^{4} \ln \left(c \right)}{4}+\frac{a e \,x^{4}}{4}-\frac{b d n \,x^{3}}{9}+\frac{b d \,x^{3} \ln \left(c \right)}{3}+\frac{a d \,x^{3}}{3}+\frac{\left(3 e x +4 d \right) b \,x^{3} \ln \left(x^{n}\right)}{12}"," ",0,"1/12*b*x^3*(3*e*x+4*d)*ln(x^n)+1/8*I*Pi*b*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I*Pi*b*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/8*I*Pi*b*e*x^4*csgn(I*c*x^n)^3+1/8*I*Pi*b*e*x^4*csgn(I*c*x^n)^2*csgn(I*c)+1/4*ln(c)*b*e*x^4-1/16*b*e*n*x^4+1/4*a*e*x^4+1/6*I*Pi*b*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-1/6*I*Pi*b*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6*I*Pi*b*d*x^3*csgn(I*c*x^n)^3+1/6*I*Pi*b*d*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/3*ln(c)*b*d*x^3-1/9*b*d*n*x^3+1/3*a*d*x^3","C"
3,1,264,42,0.220000," ","int(x*(e*x+d)*(b*ln(c*x^n)+a),x)","-\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{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{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 d \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{b e n \,x^{3}}{9}+\frac{b e \,x^{3} \ln \left(c \right)}{3}+\frac{a e \,x^{3}}{3}-\frac{b d n \,x^{2}}{4}+\frac{b d \,x^{2} \ln \left(c \right)}{2}+\frac{a d \,x^{2}}{2}+\frac{\left(2 e x +3 d \right) b \,x^{2} \ln \left(x^{n}\right)}{6}"," ",0,"1/6*b*x^2*(2*e*x+3*d)*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*ln(c)*b*e*x^3-1/9*b*e*n*x^3+1/3*a*e*x^3+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*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*Pi*b*d*x^2*csgn(I*c*x^n)^3+1/4*I*Pi*b*d*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/2*ln(c)*b*d*x^2-1/4*b*d*n*x^2+1/2*a*d*x^2","C"
4,1,52,44,0.055000," ","int((e*x+d)*(b*ln(c*x^n)+a),x)","-\frac{b e n \,x^{2}}{4}+\frac{b e \,x^{2} \ln \left(c \,{\mathrm e}^{n \ln \left(x \right)}\right)}{2}+\frac{a e \,x^{2}}{2}-b d n x +b d x \ln \left(c \,x^{n}\right)+a d x"," ",0,"a*d*x+1/2*a*e*x^2+x*b*ln(c*x^n)*d-b*d*n*x+1/2*b*e*x^2*ln(c*exp(n*ln(x)))-1/4*b*e*n*x^2","A"
5,1,46,42,0.058000," ","int((e*x+d)*(b*ln(c*x^n)+a)/x,x)","-b e n x +b e x \ln \left(c \,{\mathrm e}^{n \ln \left(x \right)}\right)+a d \ln \left(x \right)+a e x +\frac{b d \ln \left(c \,{\mathrm e}^{n \ln \left(x \right)}\right)^{2}}{2 n}"," ",0,"ln(x)*a*d+a*e*x+b*e*x*ln(c*exp(n*ln(x)))+1/2*b*d/n*ln(c*exp(n*ln(x)))^2-b*e*n*x","A"
6,1,250,46,0.236000," ","int((e*x+d)*(b*ln(c*x^n)+a)/x^2,x)","-\frac{\left(-e x \ln \left(x \right)+d \right) b \ln \left(x^{n}\right)}{x}-\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(x \right)-i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-i \pi  b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+i \pi  b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+b e n x \ln \left(x \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)+i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 b e x \ln \left(c \right) \ln \left(x \right)-2 a e x \ln \left(x \right)+2 b d n +2 b d \ln \left(c \right)+2 a d}{2 x}"," ",0,"-b*(-e*x*ln(x)+d)/x*ln(x^n)-1/2*(-I*ln(x)*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x+I*ln(x)*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x+I*ln(x)*Pi*b*e*csgn(I*c*x^n)^3*x-I*ln(x)*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x+I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*d*csgn(I*c*x^n)^3+I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+b*e*n*ln(x)^2*x-2*ln(x)*ln(c)*b*e*x-2*ln(x)*a*e*x+2*ln(c)*b*d+2*b*d*n+2*a*d)/x","C"
7,1,232,54,0.149000," ","int((e*x+d)*(b*ln(c*x^n)+a)/x^3,x)","-\frac{\left(2 e x +d \right) b \ln \left(x^{n}\right)}{2 x^{2}}-\frac{-2 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 i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-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)+i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 b e n x +4 b e x \ln \left(c \right)+4 a e x +b d n +2 b d \ln \left(c \right)+2 a d}{4 x^{2}}"," ",0,"-1/2*b*(2*e*x+d)/x^2*ln(x^n)-1/4*(2*I*Pi*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*b*e*x*csgn(I*c*x^n)^3+2*I*Pi*b*e*x*csgn(I*c*x^n)^2*csgn(I*c)+4*ln(c)*b*e*x+4*b*e*n*x+4*a*e*x+I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*d*csgn(I*c*x^n)^3+I*Pi*b*d*csgn(I*c)*csgn(I*c*x^n)^2+2*b*d*ln(c)+b*d*n+2*a*d)/x^2","C"
8,1,235,49,0.155000," ","int((e*x+d)*(b*ln(c*x^n)+a)/x^4,x)","-\frac{\left(3 e x +2 d \right) b \ln \left(x^{n}\right)}{6 x^{3}}-\frac{-9 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)+9 i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 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)+6 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+9 b e n x +18 b e x \ln \left(c \right)+18 a e x +4 b d n +12 b d \ln \left(c \right)+12 a d}{36 x^{3}}"," ",0,"-1/6*b*(3*e*x+2*d)/x^3*ln(x^n)-1/36*(9*I*Pi*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-9*I*Pi*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-9*I*Pi*b*e*x*csgn(I*c*x^n)^3+9*I*Pi*b*e*x*csgn(I*c*x^n)^2*csgn(I*c)+18*b*e*x*ln(c)+9*b*e*n*x+18*a*e*x+6*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-6*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-6*I*Pi*b*d*csgn(I*c*x^n)^3+6*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+12*b*d*ln(c)+4*b*d*n+12*a*d)/x^3","C"
9,1,432,66,0.223000," ","int(x^3*(e*x+d)^2*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b \,e^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{12}+\frac{i \pi  b \,e^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}+\frac{i \pi  b \,e^{2} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}-\frac{i \pi  b \,e^{2} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12}-\frac{i \pi  b d e \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{5}+\frac{i \pi  b d e \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{5}+\frac{i \pi  b d e \,x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{5}-\frac{i \pi  b d e \,x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{5}-\frac{i \pi  b \,d^{2} x^{4} \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 \,d^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{i \pi  b \,d^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b \,d^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{b \,e^{2} n \,x^{6}}{36}+\frac{b \,e^{2} x^{6} \ln \left(c \right)}{6}+\frac{a \,e^{2} x^{6}}{6}-\frac{2 b d e n \,x^{5}}{25}+\frac{2 b d e \,x^{5} \ln \left(c \right)}{5}+\frac{2 a d e \,x^{5}}{5}-\frac{b \,d^{2} n \,x^{4}}{16}+\frac{b \,d^{2} x^{4} \ln \left(c \right)}{4}+\frac{a \,d^{2} x^{4}}{4}+\frac{\left(10 e^{2} x^{2}+24 d e x +15 d^{2}\right) b \,x^{4} \ln \left(x^{n}\right)}{60}"," ",0,"1/60*b*x^4*(10*e^2*x^2+24*d*e*x+15*d^2)*ln(x^n)-1/5*I*Pi*b*d*e*x^5*csgn(I*c*x^n)^3-1/12*I*Pi*b*e^2*x^6*csgn(I*c*x^n)^3-1/12*I*Pi*b*e^2*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/8*I*Pi*b*d^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/6*ln(c)*b*e^2*x^6-1/36*b*e^2*n*x^6+1/6*a*e^2*x^6-1/5*I*Pi*b*d*e*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/12*I*Pi*b*e^2*x^6*csgn(I*c*x^n)^2*csgn(I*c)+1/12*I*Pi*b*e^2*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*I*Pi*b*d^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)+2/5*ln(c)*b*d*e*x^5-2/25*b*d*e*n*x^5+2/5*a*d*e*x^5-1/8*I*Pi*b*d^2*x^4*csgn(I*c*x^n)^3+1/8*I*Pi*b*d^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1/5*I*Pi*b*d*e*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2+1/5*I*Pi*b*d*e*x^5*csgn(I*c*x^n)^2*csgn(I*c)+1/4*ln(c)*b*d^2*x^4-1/16*b*d^2*n*x^4+1/4*a*d^2*x^4","C"
10,1,432,66,0.221000," ","int(x^2*(e*x+d)^2*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b \,e^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{10}+\frac{i \pi  b \,e^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}+\frac{i \pi  b \,e^{2} x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}-\frac{i \pi  b \,e^{2} x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10}-\frac{i \pi  b d e \,x^{4} \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 d e \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  b d e \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{i \pi  b d e \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{i \pi  b \,d^{2} 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 \,d^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}+\frac{i \pi  b \,d^{2} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}-\frac{i \pi  b \,d^{2} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}-\frac{b \,e^{2} n \,x^{5}}{25}+\frac{b \,e^{2} x^{5} \ln \left(c \right)}{5}+\frac{a \,e^{2} x^{5}}{5}-\frac{b d e n \,x^{4}}{8}+\frac{b d e \,x^{4} \ln \left(c \right)}{2}+\frac{a d e \,x^{4}}{2}-\frac{b \,d^{2} n \,x^{3}}{9}+\frac{b \,d^{2} x^{3} \ln \left(c \right)}{3}+\frac{a \,d^{2} x^{3}}{3}+\frac{\left(6 e^{2} x^{2}+15 d e x +10 d^{2}\right) b \,x^{3} \ln \left(x^{n}\right)}{30}"," ",0,"1/30*b*x^3*(6*e^2*x^2+15*d*e*x+10*d^2)*ln(x^n)-1/6*I*Pi*b*d^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*Pi*b*d*e*x^4*csgn(I*c*x^n)^3+1/10*I*Pi*b*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I*Pi*b*d^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/5*ln(c)*b*e^2*x^5-1/25*b*e^2*n*x^5+1/5*a*e^2*x^5-1/4*I*Pi*b*d*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*I*Pi*b*d*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1/10*I*Pi*b*e^2*x^5*csgn(I*c*x^n)^2*csgn(I*c)-1/10*I*Pi*b*e^2*x^5*csgn(I*c*x^n)^3+1/2*ln(c)*b*d*e*x^4-1/8*b*d*e*n*x^4+1/2*a*d*e*x^4+1/4*I*Pi*b*d*e*x^4*csgn(I*c*x^n)^2*csgn(I*c)-1/6*I*Pi*b*d^2*x^3*csgn(I*c*x^n)^3+1/6*I*Pi*b*d^2*x^3*csgn(I*c*x^n)^2*csgn(I*c)-1/10*I*Pi*b*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/3*ln(c)*b*d^2*x^3-1/9*b*d^2*n*x^3+1/3*a*d^2*x^3","C"
11,1,432,66,0.229000," ","int(x*(e*x+d)^2*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b \,e^{2} x^{4} \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^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{i \pi  b d e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{3}+\frac{i \pi  b d e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3}+\frac{i \pi  b d e \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3}-\frac{i \pi  b d e \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{3}-\frac{i \pi  b \,d^{2} 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 \,d^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  b \,d^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{i \pi  b \,d^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{b \,e^{2} n \,x^{4}}{16}+\frac{b \,e^{2} x^{4} \ln \left(c \right)}{4}+\frac{a \,e^{2} x^{4}}{4}-\frac{2 b d e n \,x^{3}}{9}+\frac{2 b d e \,x^{3} \ln \left(c \right)}{3}+\frac{2 a d e \,x^{3}}{3}-\frac{b \,d^{2} n \,x^{2}}{4}+\frac{b \,d^{2} x^{2} \ln \left(c \right)}{2}+\frac{a \,d^{2} x^{2}}{2}+\frac{\left(3 e^{2} x^{2}+8 d e x +6 d^{2}\right) b \,x^{2} \ln \left(x^{n}\right)}{12}"," ",0,"1/12*b*x^2*(3*e^2*x^2+8*d*e*x+6*d^2)*ln(x^n)-1/4*I*Pi*b*d^2*x^2*csgn(I*c*x^n)^3-1/8*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*Pi*b*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*I*Pi*b*d*e*x^3*csgn(I*c*x^n)^3+1/4*ln(c)*b*e^2*x^4-1/16*b*e^2*n*x^4+1/4*a*e^2*x^4+1/3*I*Pi*b*d*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I*Pi*b*d^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/8*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+2/3*ln(c)*b*d*e*x^3-2/9*b*d*e*n*x^3+2/3*a*d*e*x^3-1/8*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^3+1/3*I*Pi*b*d*e*x^3*csgn(I*c*x^n)^2*csgn(I*c)-1/3*I*Pi*b*d*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*I*Pi*b*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*ln(c)*b*d^2*x^2-1/4*b*d^2*n*x^2+1/2*a*d^2*x^2","C"
12,1,414,62,0.257000," ","int((e*x+d)^2*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b \,e^{2} 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^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}+\frac{i \pi  b \,e^{2} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}-\frac{i \pi  b \,e^{2} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}-\frac{i \pi  b d e \,x^{2} \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 e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{i \pi  b d e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}-\frac{i \pi  b \,d^{2} 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^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{i \pi  b \,d^{2} x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b \,d^{2} x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}-\frac{b \,e^{2} n \,x^{3}}{9}+\frac{b \,e^{2} x^{3} \ln \left(c \right)}{3}+\frac{a \,e^{2} x^{3}}{3}-\frac{b d e n \,x^{2}}{2}+b d e \,x^{2} \ln \left(c \right)+a d e \,x^{2}-\frac{b \,d^{3} n \ln \left(x \right)}{3 e}-b \,d^{2} n x +b \,d^{2} x \ln \left(c \right)+a \,d^{2} x +\frac{\left(e x +d \right)^{3} b \ln \left(x^{n}\right)}{3 e}"," ",0,"1/3*(e*x+d)^3*b/e*ln(x^n)+1/2*I*e*Pi*b*d*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x-1/6*I*e^2*Pi*b*x^3*csgn(I*c*x^n)^3-1/2*I*e*Pi*b*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/6*I*e^2*Pi*b*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/6*I*e^2*Pi*b*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*e*Pi*b*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/6*I*e^2*Pi*b*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)*x-1/2*I*Pi*b*d^2*csgn(I*c*x^n)^3*x-1/2*I*e*Pi*b*d*x^2*csgn(I*c*x^n)^3-1/2*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x+1/3*ln(c)*b*e^2*x^3-1/9*b*e^2*n*x^3+ln(c)*b*d*e*x^2+1/3*a*e^2*x^3-1/2*b*d*e*n*x^2-1/3*b*d^3*n*ln(x)/e+ln(c)*b*d^2*x+a*d*e*x^2-b*d^2*n*x+a*d^2*x","C"
13,1,410,74,0.323000," ","int((e*x+d)^2*(b*ln(c*x^n)+a)/x,x)","-\frac{i \pi  b \,e^{2} 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^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{i \pi  b \,d^{2} \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^{2} \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^{2} \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^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-i \pi  b d e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b d e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-\frac{b \,d^{2} n \ln \left(x \right)^{2}}{2}-\frac{b \,e^{2} n \,x^{2}}{4}+\frac{b \,e^{2} x^{2} \ln \left(c \right)}{2}+\frac{a \,e^{2} x^{2}}{2}+b \,d^{2} \ln \left(c \right) \ln \left(x \right)-2 b d e n x +2 b d e x \ln \left(c \right)+a \,d^{2} \ln \left(x \right)+2 a d e x +\left(\frac{b \,e^{2} x^{2}}{2}+b \,d^{2} \ln \left(x \right)+2 b d e x \right) \ln \left(x^{n}\right)"," ",0,"(1/2*b*e^2*x^2+2*b*d*e*x+b*d^2*ln(x))*ln(x^n)-1/2*b*d^2*n*ln(x)^2+1/4*I*Pi*b*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*Pi*ln(x)*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*Pi*ln(x)*b*d^2*csgn(I*c*x^n)^3-1/4*I*Pi*b*e^2*x^2*csgn(I*c*x^n)^3-I*Pi*b*d*e*x*csgn(I*c*x^n)^3+1/2*ln(c)*b*e^2*x^2-1/4*b*e^2*n*x^2+2*ln(c)*b*d*e*x+1/2*a*e^2*x^2-2*b*d*e*n*x+2*a*d*e*x-1/2*I*Pi*ln(x)*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*Pi*ln(x)*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+ln(c)*ln(x)*b*d^2+ln(x)*a*d^2","C"
14,1,419,78,0.319000," ","int((e*x+d)^2*(b*ln(c*x^n)+a)/x^2,x)","-\frac{\left(-2 d e x \ln \left(x \right)-e^{2} x^{2}+d^{2}\right) b \ln \left(x^{n}\right)}{x}-\frac{2 i \pi  b d 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(x \right)-2 i \pi  b d e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-2 i \pi  b d e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+2 i \pi  b d e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b d e n x \ln \left(x \right)^{2}-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 b d e x \ln \left(c \right) \ln \left(x \right)+2 b \,e^{2} n \,x^{2}-2 b \,e^{2} x^{2} \ln \left(c \right)-4 a d e x \ln \left(x \right)-2 a \,e^{2} x^{2}+2 b \,d^{2} n +2 b \,d^{2} \ln \left(c \right)+2 a \,d^{2}}{2 x}"," ",0,"-b*(-2*d*e*x*ln(x)-e^2*x^2+d^2)/x*ln(x^n)-1/2*(-I*Pi*b*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d^2*csgn(I*c*x^n)^3-I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*ln(x)*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x+I*Pi*b*e^2*x^2*csgn(I*c*x^n)^3-2*I*ln(x)*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x+2*I*ln(x)*Pi*b*d*e*csgn(I*c*x^n)^3*x+2*I*ln(x)*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*b*d*e*n*ln(x)^2*x-4*ln(x)*ln(c)*b*d*e*x-2*b*e^2*x^2*ln(c)+2*b*e^2*n*x^2-4*ln(x)*a*d*e*x-2*a*e^2*x^2+2*ln(c)*b*d^2+2*b*d^2*n+2*a*d^2)/x","C"
15,1,418,78,0.244000," ","int((e*x+d)^2*(b*ln(c*x^n)+a)/x^3,x)","-\frac{\left(-2 e^{2} x^{2} \ln \left(x \right)+4 d e x +d^{2}\right) b \ln \left(x^{n}\right)}{2 x^{2}}-\frac{2 i \pi  b \,e^{2} 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(x \right)-2 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-2 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+2 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+2 b \,e^{2} n \,x^{2} \ln \left(x \right)^{2}-4 i \pi  b d e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 i \pi  b d e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b d e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b d e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 b \,e^{2} x^{2} \ln \left(c \right) \ln \left(x \right)-4 a \,e^{2} x^{2} \ln \left(x \right)-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+8 b d e n x +8 b d e x \ln \left(c \right)+8 a d e x +b \,d^{2} n +2 b \,d^{2} \ln \left(c \right)+2 a \,d^{2}}{4 x^{2}}"," ",0,"-1/2*b*(-2*e^2*ln(x)*x^2+4*d*e*x+d^2)/x^2*ln(x^n)-1/4*(I*Pi*b*d^2*csgn(I*c)*csgn(I*c*x^n)^2+4*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*ln(x)*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^2+2*I*ln(x)*Pi*b*e^2*csgn(I*c*x^n)^3*x^2-2*I*ln(x)*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*x^2+4*I*Pi*b*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)+2*I*ln(x)*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^2-I*Pi*b*d^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-4*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*Pi*b*d*e*x*csgn(I*c*x^n)^3+I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d^2*csgn(I*c*x^n)^3+2*b*e^2*n*ln(x)^2*x^2-4*ln(x)*ln(c)*b*e^2*x^2-4*ln(x)*a*e^2*x^2+8*b*d*e*x*ln(c)+8*b*d*e*n*x+2*b*d^2*ln(c)+8*a*d*e*x+b*d^2*n+2*a*d^2)/x^2","C"
16,1,401,67,0.169000," ","int((e*x+d)^2*(b*ln(c*x^n)+a)/x^4,x)","-\frac{\left(3 e^{2} x^{2}+3 d e x +d^{2}\right) b \ln \left(x^{n}\right)}{3 x^{3}}-\frac{-9 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+9 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-9 i \pi  b d e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+9 i \pi  b d e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  b d e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  b d e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-3 i \pi  b \,d^{2} \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 \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+18 b \,e^{2} n \,x^{2}+18 b \,e^{2} x^{2} \ln \left(c \right)+18 a \,e^{2} x^{2}+9 b d e n x +18 b d e x \ln \left(c \right)+18 a d e x +2 b \,d^{2} n +6 b \,d^{2} \ln \left(c \right)+6 a \,d^{2}}{18 x^{3}}"," ",0,"-1/3*b*(3*e^2*x^2+3*d*e*x+d^2)/x^3*ln(x^n)-1/18*(-3*I*Pi*b*d^2*csgn(I*c*x^n)^3-9*I*Pi*b*d*e*x*csgn(I*c*x^n)^3-9*I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+9*I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+18*b*e^2*x^2*ln(c)+18*b*e^2*n*x^2+18*a*e^2*x^2+9*I*Pi*b*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-3*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-9*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+9*I*Pi*b*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)+18*b*d*e*x*ln(c)+9*b*d*e*n*x+18*a*d*e*x+9*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+3*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-9*I*Pi*b*e^2*x^2*csgn(I*c*x^n)^3+3*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+6*b*d^2*ln(c)+2*b*d^2*n+6*a*d^2)/x^3","C"
17,1,403,83,0.169000," ","int((e*x+d)^2*(b*ln(c*x^n)+a)/x^5,x)","-\frac{\left(6 e^{2} x^{2}+8 d e x +3 d^{2}\right) b \ln \left(x^{n}\right)}{12 x^{4}}-\frac{-36 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+36 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-36 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-48 i \pi  b d e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+48 i \pi  b d e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+48 i \pi  b d e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-48 i \pi  b d e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-18 i \pi  b \,d^{2} \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 \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+36 b \,e^{2} n \,x^{2}+72 b \,e^{2} x^{2} \ln \left(c \right)+72 a \,e^{2} x^{2}+32 b d e n x +96 b d e x \ln \left(c \right)+96 a d e x +9 b \,d^{2} n +36 b \,d^{2} \ln \left(c \right)+36 a \,d^{2}}{144 x^{4}}"," ",0,"-1/12*b*(6*e^2*x^2+8*d*e*x+3*d^2)/x^4*ln(x^n)-1/144*(-48*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+48*I*Pi*b*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)+48*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+72*b*e^2*x^2*ln(c)+36*b*e^2*n*x^2+72*a*e^2*x^2+18*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)-18*I*Pi*b*d^2*csgn(I*c*x^n)^3-36*I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+36*I*Pi*b*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+96*b*d*e*x*ln(c)+32*b*d*e*n*x+96*a*d*e*x+18*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-48*I*Pi*b*d*e*x*csgn(I*c*x^n)^3-18*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-36*I*Pi*b*e^2*x^2*csgn(I*c*x^n)^3+36*b*d^2*ln(c)+9*b*d^2*n+36*a*d^2)/x^4","C"
18,1,403,83,0.169000," ","int((e*x+d)^2*(b*ln(c*x^n)+a)/x^6,x)","-\frac{\left(10 e^{2} x^{2}+15 d e x +6 d^{2}\right) b \ln \left(x^{n}\right)}{30 x^{5}}-\frac{-300 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+300 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+300 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-300 i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-450 i \pi  b d e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+450 i \pi  b d e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+450 i \pi  b d e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-450 i \pi  b d e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-180 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+180 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+180 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-180 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+200 b \,e^{2} n \,x^{2}+600 b \,e^{2} x^{2} \ln \left(c \right)+600 a \,e^{2} x^{2}+225 b d e n x +900 b d e x \ln \left(c \right)+900 a d e x +72 b \,d^{2} n +360 b \,d^{2} \ln \left(c \right)+360 a \,d^{2}}{1800 x^{5}}"," ",0,"-1/30*b*(10*e^2*x^2+15*d*e*x+6*d^2)/x^5*ln(x^n)-1/1800*(300*I*Pi*b*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-300*I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+450*I*Pi*b*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)-450*I*Pi*b*d*e*x*csgn(I*c*x^n)^3+600*b*e^2*x^2*ln(c)+200*b*e^2*n*x^2+600*a*e^2*x^2-180*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-180*I*Pi*b*d^2*csgn(I*c*x^n)^3+180*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)-450*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+900*b*d*e*x*ln(c)+225*b*d*e*n*x+900*a*d*e*x+300*I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+450*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-300*I*Pi*b*e^2*x^2*csgn(I*c*x^n)^3+180*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+360*b*d^2*ln(c)+72*b*d^2*n+360*a*d^2)/x^5","C"
19,1,600,90,0.225000," ","int(x^3*(e*x+d)^3*(b*ln(c*x^n)+a),x)","\frac{3 a \,d^{2} e \,x^{5}}{5}+\frac{3 b \,d^{2} e \,x^{5} \ln \left(c \right)}{5}+\frac{b d \,e^{2} x^{6} \ln \left(c \right)}{2}+\frac{a \,e^{3} x^{7}}{7}+\frac{a \,d^{3} x^{4}}{4}+\frac{b \,e^{3} x^{7} \ln \left(c \right)}{7}+\frac{b \,d^{3} x^{4} \ln \left(c \right)}{4}+\frac{a d \,e^{2} x^{6}}{2}+\frac{\left(20 e^{3} x^{3}+70 d \,e^{2} x^{2}+84 d^{2} e x +35 d^{3}\right) b \,x^{4} \ln \left(x^{n}\right)}{140}-\frac{i \pi  b d \,e^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4}-\frac{3 i \pi  b \,d^{2} e \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{10}+\frac{i \pi  b d \,e^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  b d \,e^{2} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{3 i \pi  b \,d^{2} e \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}+\frac{3 i \pi  b \,d^{2} e \,x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}-\frac{i \pi  b \,d^{3} x^{4} \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^{3} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{14}+\frac{i \pi  b \,e^{3} x^{7} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{14}-\frac{b \,d^{3} n \,x^{4}}{16}-\frac{b \,e^{3} n \,x^{7}}{49}-\frac{i \pi  b \,e^{3} x^{7} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{14}-\frac{i \pi  b \,d^{3} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{i \pi  b \,e^{3} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{14}-\frac{i \pi  b d \,e^{2} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{3 i \pi  b \,d^{2} e \,x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10}+\frac{i \pi  b \,d^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{i \pi  b \,d^{3} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{3 b \,d^{2} e n \,x^{5}}{25}-\frac{b d \,e^{2} n \,x^{6}}{12}"," ",0,"-1/4*I*Pi*b*d*e^2*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3/5*a*d^2*e*x^5+3/5*ln(c)*b*d^2*e*x^5+1/2*ln(c)*b*d*e^2*x^6+1/7*a*e^3*x^7+1/4*a*d^3*x^4+1/7*ln(c)*b*e^3*x^7+1/4*ln(c)*b*d^3*x^4+1/2*a*d*e^2*x^6+1/140*b*x^4*(20*e^3*x^3+70*d*e^2*x^2+84*d^2*e*x+35*d^3)*ln(x^n)-3/10*I*Pi*b*d^2*e*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/14*I*Pi*b*e^3*x^7*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*I*Pi*b*d*e^2*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*Pi*b*d*e^2*x^6*csgn(I*c*x^n)^2*csgn(I*c)+3/10*I*Pi*b*d^2*e*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2+3/10*I*Pi*b*d^2*e*x^5*csgn(I*c*x^n)^2*csgn(I*c)-1/8*I*Pi*b*d^3*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/14*I*Pi*b*e^3*x^7*csgn(I*c*x^n)^3+1/14*I*Pi*b*e^3*x^7*csgn(I*c*x^n)^2*csgn(I*c)-3/10*I*Pi*b*d^2*e*x^5*csgn(I*c*x^n)^3+1/14*I*Pi*b*e^3*x^7*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I*Pi*b*d*e^2*x^6*csgn(I*c*x^n)^3+1/8*I*Pi*b*d^3*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*I*Pi*b*d^3*x^4*csgn(I*c*x^n)^2*csgn(I*c)-1/16*b*d^3*n*x^4-1/49*b*e^3*n*x^7-1/8*I*Pi*b*d^3*x^4*csgn(I*c*x^n)^3-3/25*b*d^2*e*n*x^5-1/12*b*d*e^2*n*x^6","C"
20,1,600,90,0.230000," ","int(x^2*(e*x+d)^3*(b*ln(c*x^n)+a),x)","\frac{a \,e^{3} x^{6}}{6}+\frac{a \,d^{3} x^{3}}{3}+\frac{3 a d \,e^{2} x^{5}}{5}+\frac{3 a \,d^{2} e \,x^{4}}{4}+\frac{3 b \,d^{2} e \,x^{4} \ln \left(c \right)}{4}+\frac{3 b d \,e^{2} x^{5} \ln \left(c \right)}{5}+\frac{b \,d^{3} x^{3} \ln \left(c \right)}{3}+\frac{b \,e^{3} x^{6} \ln \left(c \right)}{6}-\frac{3 i \pi  b d \,e^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{10}-\frac{3 i \pi  b \,d^{2} e \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{8}+\frac{\left(10 e^{3} x^{3}+36 d \,e^{2} x^{2}+45 d^{2} e x +20 d^{3}\right) b \,x^{3} \ln \left(x^{n}\right)}{60}-\frac{b \,d^{3} n \,x^{3}}{9}-\frac{b \,e^{3} n \,x^{6}}{36}-\frac{i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12}-\frac{i \pi  b \,d^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}+\frac{3 i \pi  b \,d^{2} e \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b \,d^{3} 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{3 i \pi  b \,d^{2} e \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{12}+\frac{3 i \pi  b d \,e^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}+\frac{3 i \pi  b d \,e^{2} x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}+\frac{i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}+\frac{i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}-\frac{3 i \pi  b d \,e^{2} x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10}-\frac{3 i \pi  b \,d^{2} e \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}+\frac{i \pi  b \,d^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}+\frac{i \pi  b \,d^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}-\frac{3 b \,d^{2} e n \,x^{4}}{16}-\frac{3 b d \,e^{2} n \,x^{5}}{25}"," ",0,"-3/8*I*Pi*b*d^2*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3/10*I*Pi*b*d*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3/8*I*Pi*b*d^2*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*a*e^3*x^6+1/3*a*d^3*x^3+3/5*a*d*e^2*x^5+3/4*a*d^2*e*x^4+3/4*ln(c)*b*d^2*e*x^4+3/5*ln(c)*b*d*e^2*x^5+1/3*ln(c)*b*d^3*x^3+1/6*ln(c)*b*e^3*x^6+3/10*I*Pi*b*d*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2+3/8*I*Pi*b*d^2*e*x^4*csgn(I*c*x^n)^2*csgn(I*c)+1/60*b*x^3*(10*e^3*x^3+36*d*e^2*x^2+45*d^2*e*x+20*d^3)*ln(x^n)-1/6*I*Pi*b*d^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/12*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3/10*I*Pi*b*d*e^2*x^5*csgn(I*c*x^n)^2*csgn(I*c)-3/8*I*Pi*b*d^2*e*x^4*csgn(I*c*x^n)^3+1/6*I*Pi*b*d^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I*Pi*b*d^3*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/12*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^2*csgn(I*c)-3/10*I*Pi*b*d*e^2*x^5*csgn(I*c*x^n)^3+1/12*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2-1/9*b*d^3*n*x^3-1/36*b*e^3*n*x^6-1/6*I*Pi*b*d^3*x^3*csgn(I*c*x^n)^3-1/12*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^3-3/16*b*d^2*e*n*x^4-3/25*b*d*e^2*n*x^5","C"
21,1,598,108,0.238000," ","int(x*(e*x+d)^3*(b*ln(c*x^n)+a),x)","\frac{a \,d^{3} x^{2}}{2}+b \,d^{2} e \,x^{3} \ln \left(c \right)+\frac{3 b d \,e^{2} x^{4} \ln \left(c \right)}{4}+\frac{a \,e^{3} x^{5}}{5}+\frac{3 a d \,e^{2} x^{4}}{4}+a \,d^{2} e \,x^{3}-\frac{3 i \pi  b d \,e^{2} x^{4} \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 \,d^{2} e \,x^{3} \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^{3} x^{5} \ln \left(c \right)}{5}+\frac{b \,d^{3} x^{2} \ln \left(c \right)}{2}+\frac{\left(4 e^{3} x^{3}+15 d \,e^{2} x^{2}+20 d^{2} e x +10 d^{3}\right) b \,x^{2} \ln \left(x^{n}\right)}{20}-\frac{b \,d^{3} n \,x^{2}}{4}-\frac{i \pi  b \,e^{3} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{10}+\frac{3 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{b \,e^{3} n \,x^{5}}{25}+\frac{i \pi  b \,d^{2} e \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b \,d^{3} 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{3 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{i \pi  b \,d^{2} e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b \,e^{3} x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10}-\frac{i \pi  b \,d^{3} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}+\frac{i \pi  b \,e^{3} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}+\frac{i \pi  b \,e^{3} x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}-\frac{3 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{i \pi  b \,d^{2} e \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}+\frac{i \pi  b \,d^{3} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  b \,d^{3} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{b \,d^{2} e n \,x^{3}}{3}-\frac{3 b d \,e^{2} n \,x^{4}}{16}"," ",0,"3/8*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*Pi*b*d^2*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3/8*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*a*d^3*x^2+ln(c)*b*d^2*e*x^3+3/4*ln(c)*b*d*e^2*x^4+1/5*a*e^3*x^5+3/4*a*d*e^2*x^4+a*d^2*e*x^3+1/2*I*Pi*b*d^2*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-1/10*I*Pi*b*e^3*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*Pi*b*d^2*e*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/5*ln(c)*b*e^3*x^5+1/2*ln(c)*b*d^3*x^2+1/20*b*x^2*(4*e^3*x^3+15*d*e^2*x^2+20*d^2*e*x+10*d^3)*ln(x^n)+3/8*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I*Pi*b*d^3*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3/8*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^3-1/2*I*Pi*b*d^2*e*x^3*csgn(I*c*x^n)^3+1/10*I*Pi*b*e^3*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2+1/10*I*Pi*b*e^3*x^5*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I*Pi*b*d^3*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*Pi*b*d^3*x^2*csgn(I*c*x^n)^2*csgn(I*c)-1/4*b*d^3*n*x^2-1/10*I*Pi*b*e^3*x^5*csgn(I*c*x^n)^3-1/4*I*Pi*b*d^3*x^2*csgn(I*c*x^n)^3-1/25*b*e^3*n*x^5-1/3*b*d^2*e*n*x^3-3/16*b*d*e^2*n*x^4","C"
22,1,571,75,0.264000," ","int((e*x+d)^3*(b*ln(c*x^n)+a),x)","b d \,e^{2} x^{3} \ln \left(c \right)+\frac{3 b \,d^{2} e \,x^{2} \ln \left(c \right)}{2}-\frac{b \,d^{4} n \ln \left(x \right)}{4 e}+\frac{\left(e x +d \right)^{4} b \ln \left(x^{n}\right)}{4 e}+a d \,e^{2} x^{3}+\frac{3 a \,d^{2} e \,x^{2}}{2}+\frac{b \,e^{3} x^{4} \ln \left(c \right)}{4}+b \,d^{3} x \ln \left(c \right)+\frac{a \,e^{3} x^{4}}{4}+a \,d^{3} x +\frac{i \pi  b \,e^{3} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b d \,e^{2} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}-\frac{3 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}+\frac{i \pi  b \,d^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{i \pi  b \,d^{3} x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{i \pi  b \,e^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{b \,e^{3} n \,x^{4}}{16}-\frac{i \pi  b d \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}-\frac{3 i \pi  b \,d^{2} 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^{3} x^{4} \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 d \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{i \pi  b d \,e^{2} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{3 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{3 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{i \pi  b \,d^{3} 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^{3} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{i \pi  b \,d^{3} x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}-b \,d^{3} n x -\frac{3 b \,d^{2} e n \,x^{2}}{4}-\frac{b d \,e^{2} n \,x^{3}}{3}"," ",0,"ln(c)*b*d*e^2*x^3+3/2*ln(c)*b*d^2*e*x^2-1/4*b*d^4*n*ln(x)/e+1/4*(e*x+d)^4*b/e*ln(x^n)+a*d*e^2*x^3+3/2*a*d^2*e*x^2+1/4*ln(c)*b*e^3*x^4+ln(c)*b*d^3*x+1/4*a*e^3*x^4+a*d^3*x-1/8*I*e^3*Pi*b*x^4*csgn(I*c*x^n)^3-1/2*I*e^2*Pi*b*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*Pi*b*d^3*csgn(I*c*x^n)^3*x+1/8*I*e^3*Pi*b*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*I*e^3*Pi*b*x^4*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*e^2*Pi*b*d*x^3*csgn(I*c*x^n)^3-3/4*I*e*Pi*b*d^2*x^2*csgn(I*c*x^n)^3+1/2*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x+1/2*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)*x-1/16*b*e^3*n*x^4-3/4*I*e*Pi*b*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-1/8*I*e^3*Pi*b*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*e^2*Pi*b*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*e^2*Pi*b*d*x^3*csgn(I*c*x^n)^2*csgn(I*c)+3/4*I*e*Pi*b*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+3/4*I*e*Pi*b*d^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-b*d^3*n*x-3/4*b*d^2*e*n*x^2-1/3*b*d*e^2*n*x^3","C"
23,1,579,112,0.304000," ","int((e*x+d)^3*(b*ln(c*x^n)+a)/x,x)","\frac{3 b d \,e^{2} x^{2} \ln \left(c \right)}{2}+3 b \,d^{2} e x \ln \left(c \right)-\frac{i \pi  b \,d^{3} \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{3 a d \,e^{2} x^{2}}{2}+3 a \,d^{2} e x +\frac{a \,e^{3} x^{3}}{3}+\frac{b \,e^{3} x^{3} \ln \left(c \right)}{3}+\left(\frac{b \,e^{3} x^{3}}{3}+\frac{3 b d \,e^{2} x^{2}}{2}+b \,d^{3} \ln \left(x \right)+3 b \,d^{2} e x \right) \ln \left(x^{n}\right)+b \,d^{3} \ln \left(c \right) \ln \left(x \right)+a \,d^{3} \ln \left(x \right)-\frac{3 i \pi  b \,d^{2} 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{3 i \pi  b d \,e^{2} 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^{3} 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{3 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{3 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{b \,e^{3} n \,x^{3}}{9}+\frac{3 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{3 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}+\frac{i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}+\frac{i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}-\frac{3 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}+\frac{i \pi  b \,d^{3} \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^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2}-\frac{3 i \pi  b \,d^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}-\frac{b \,d^{3} n \ln \left(x \right)^{2}}{2}-3 b \,d^{2} e n x -\frac{3 b d \,e^{2} n \,x^{2}}{4}"," ",0,"3/2*ln(c)*b*d*e^2*x^2+3*ln(c)*b*d^2*e*x+3/2*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*ln(x)*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3/2*a*d*e^2*x^2+3*a*d^2*e*x+3/4*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+3/4*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+3/2*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*e*x-1/6*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/3*a*e^3*x^3+1/3*ln(c)*b*e^3*x^3+(1/3*b*e^3*x^3+3/2*b*d*e^2*x^2+3*b*d^2*e*x+b*d^3*ln(x))*ln(x^n)+ln(x)*ln(c)*b*d^3+ln(x)*a*d^3-3/4*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3/2*I*Pi*b*d^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/9*b*e^3*n*x^3-1/6*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^3-1/2*I*ln(x)*Pi*b*d^3*csgn(I*c*x^n)^3-3/2*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^3+1/6*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-3/4*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^3+1/2*I*ln(x)*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*ln(x)*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+1/6*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^2*csgn(I*c)-1/2*b*d^3*n*ln(x)^2-3*b*d^2*e*n*x-3/4*b*d*e^2*n*x^2","C"
24,1,588,113,0.332000," ","int((e*x+d)^3*(b*ln(c*x^n)+a)/x^2,x)","-\frac{\left(-e^{3} x^{3}-6 d^{2} e x \ln \left(x \right)-6 d \,e^{2} x^{2}+2 d^{3}\right) b \ln \left(x^{n}\right)}{2 x}-\frac{-12 b d \,e^{2} x^{2} \ln \left(c \right)-12 a d \,e^{2} x^{2}-12 a \,d^{2} e x \ln \left(x \right)+4 a \,d^{3}-2 a \,e^{3} x^{3}+4 b \,d^{3} n +4 b \,d^{3} \ln \left(c \right)-2 b \,e^{3} x^{3} \ln \left(c \right)+6 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+6 i \pi  b \,d^{2} 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(x \right)-2 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-6 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+b \,e^{3} n \,x^{3}-2 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-12 b \,d^{2} e x \ln \left(c \right) \ln \left(x \right)+6 b \,d^{2} e n x \ln \left(x \right)^{2}+i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-6 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+6 i \pi  b \,d^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+12 b d \,e^{2} n \,x^{2}}{4 x}"," ",0,"-1/2*b*(-e^3*x^3-6*d^2*e*ln(x)*x-6*d*e^2*x^2+2*d^3)/x*ln(x^n)-1/4*(-12*b*d*e^2*x^2*ln(c)+6*I*ln(x)*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-12*a*d*e^2*x^2-12*ln(x)*a*d^2*e*x+4*a*d^3-6*I*ln(x)*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x-2*a*e^3*x^3+4*b*d^3*n+4*ln(c)*b*d^3-2*b*e^3*x^3*ln(c)+6*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-6*I*ln(x)*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x+I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-6*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-6*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-2*I*Pi*b*d^3*csgn(I*c*x^n)^3+b*e^3*n*x^3+6*I*ln(x)*Pi*b*d^2*e*csgn(I*c*x^n)^3*x-12*ln(x)*ln(c)*b*d^2*e*x+6*b*d^2*e*n*ln(x)^2*x+I*Pi*b*e^3*x^3*csgn(I*c*x^n)^3+2*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+2*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*e^3*x^3*csgn(I*c*x^n)^2*csgn(I*c)-2*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+6*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^3+12*b*d*e^2*n*x^2)/x","C"
25,1,586,112,0.334000," ","int((e*x+d)^3*(b*ln(c*x^n)+a)/x^3,x)","-\frac{\left(-6 d \,e^{2} x^{2} \ln \left(x \right)-2 e^{3} x^{3}+6 d^{2} e x +d^{3}\right) b \ln \left(x^{n}\right)}{2 x^{2}}-\frac{12 b \,d^{2} e x \ln \left(c \right)+12 a \,d^{2} e x +2 a \,d^{3}-4 a \,e^{3} x^{3}+b \,d^{3} n +2 b \,d^{3} \ln \left(c \right)-4 b \,e^{3} x^{3} \ln \left(c \right)-6 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-6 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-12 a d \,e^{2} x^{2} \ln \left(x \right)+6 i \pi  b d \,e^{2} 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(x \right)-i \pi  b \,d^{3} \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^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 b \,e^{3} n \,x^{3}-i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+6 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-12 b d \,e^{2} x^{2} \ln \left(c \right) \ln \left(x \right)+6 b d \,e^{2} n \,x^{2} \ln \left(x \right)^{2}+2 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 i \pi  b \,d^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+12 b \,d^{2} e n x}{4 x^{2}}"," ",0,"-1/2*b*(-6*d*e^2*ln(x)*x^2-2*e^3*x^3+6*d^2*e*x+d^3)/x^2*ln(x^n)-1/4*(12*b*d^2*e*x*ln(c)+12*a*d^2*e*x+2*a*d^3-4*a*e^3*x^3+b*d^3*n+2*b*d^3*ln(c)-4*b*e^3*x^3*ln(c)+6*I*ln(x)*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^2-12*ln(x)*a*d*e^2*x^2-6*I*ln(x)*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^2-6*I*ln(x)*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*x^2-6*I*Pi*b*d^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-6*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^3+4*b*e^3*n*x^3+6*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*e*x+2*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*d^3*csgn(I*c*x^n)^3+6*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)+6*I*ln(x)*Pi*b*d*e^2*csgn(I*c*x^n)^3*x^2-12*ln(x)*ln(c)*b*d*e^2*x^2+6*b*d*e^2*n*ln(x)^2*x^2+2*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^3+I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+12*b*d^2*e*n*x)/x^2","C"
26,1,589,116,0.258000," ","int((e*x+d)^3*(b*ln(c*x^n)+a)/x^4,x)","-\frac{\left(-6 e^{3} x^{3} \ln \left(x \right)+18 d \,e^{2} x^{2}+9 d^{2} e x +2 d^{3}\right) b \ln \left(x^{n}\right)}{6 x^{3}}-\frac{108 b d \,e^{2} x^{2} \ln \left(c \right)+54 b \,d^{2} e x \ln \left(c \right)+108 a d \,e^{2} x^{2}+54 a \,d^{2} e x +12 a \,d^{3}+4 b \,d^{3} n -36 a \,e^{3} x^{3} \ln \left(x \right)+12 b \,d^{3} \ln \left(c \right)-27 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-54 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-6 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+54 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+54 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+18 i \pi  b \,e^{3} 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(x \right)-6 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-36 b \,e^{3} x^{3} \ln \left(c \right) \ln \left(x \right)+18 b \,e^{3} n \,x^{3} \ln \left(x \right)^{2}-18 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-18 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+27 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+27 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-54 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-27 i \pi  b \,d^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+27 b \,d^{2} e n x +108 b d \,e^{2} n \,x^{2}}{36 x^{3}}"," ",0,"-1/6*b*(-6*e^3*ln(x)*x^3+18*d*e^2*x^2+9*d^2*e*x+2*d^3)/x^3*ln(x^n)-1/36*(108*b*d*e^2*x^2*ln(c)+54*b*d^2*e*x*ln(c)+108*a*d*e^2*x^2+54*a*d^2*e*x+12*a*d^3+4*b*d^3*n-36*ln(x)*a*e^3*x^3+12*b*d^3*ln(c)-54*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+18*I*ln(x)*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^3-27*I*Pi*b*d^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-18*I*ln(x)*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*x^3+27*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*e*x+54*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+27*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)-54*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^3-6*I*Pi*b*d^3*csgn(I*c*x^n)^3+54*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-18*I*ln(x)*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^3-36*ln(x)*ln(c)*b*e^3*x^3+18*b*e^3*n*ln(x)^2*x^3+6*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+6*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+27*b*d^2*e*n*x+108*b*d*e^2*n*x^2+18*I*ln(x)*Pi*b*e^3*csgn(I*c*x^n)^3*x^3-27*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^3-6*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))/x^3","C"
27,1,569,80,0.178000," ","int((e*x+d)^3*(b*ln(c*x^n)+a)/x^5,x)","-\frac{\left(4 e^{3} x^{3}+6 d \,e^{2} x^{2}+4 d^{2} e x +d^{3}\right) b \ln \left(x^{n}\right)}{4 x^{4}}-\frac{72 b d \,e^{2} x^{2} \ln \left(c \right)+48 b \,d^{2} e x \ln \left(c \right)+72 a d \,e^{2} x^{2}+48 a \,d^{2} e x +12 a \,d^{3}+48 a \,e^{3} x^{3}+3 b \,d^{3} n +12 b \,d^{3} \ln \left(c \right)+48 b \,e^{3} x^{3} \ln \left(c \right)-24 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-36 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-6 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-24 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+36 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+48 b \,e^{3} n \,x^{3}-6 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+24 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+24 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-24 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+24 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+24 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-36 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-24 i \pi  b \,d^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+16 b \,d^{2} e n x +36 b d \,e^{2} n \,x^{2}}{48 x^{4}}"," ",0,"-1/4*b*(4*e^3*x^3+6*d*e^2*x^2+4*d^2*e*x+d^3)/x^4*ln(x^n)-1/48*(72*b*d*e^2*x^2*ln(c)+48*b*d^2*e*x*ln(c)+72*a*d*e^2*x^2+48*a*d^2*e*x+12*a*d^3+48*a*e^3*x^3+3*b*d^3*n+24*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*e*x-24*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+12*b*d^3*ln(c)+48*b*e^3*x^3*ln(c)+24*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)-36*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-24*I*Pi*b*d^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+48*b*e^3*n*x^3+36*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-6*I*Pi*b*d^3*csgn(I*c*x^n)^3+36*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+24*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^2*csgn(I*c)+24*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-24*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^3+6*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+6*I*Pi*b*d^3*csgn(I*c)*csgn(I*c*x^n)^2-36*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^3-24*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^3+16*b*d^2*e*n*x+36*b*d*e^2*n*x^2-6*I*Pi*b*d^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n))/x^4","C"
28,1,571,126,0.185000," ","int((e*x+d)^3*(b*ln(c*x^n)+a)/x^6,x)","-\frac{\left(10 e^{3} x^{3}+20 d \,e^{2} x^{2}+15 d^{2} e x +4 d^{3}\right) b \ln \left(x^{n}\right)}{20 x^{5}}-\frac{1200 b d \,e^{2} x^{2} \ln \left(c \right)+900 b \,d^{2} e x \ln \left(c \right)+1200 a d \,e^{2} x^{2}+900 a \,d^{2} e x +240 a \,d^{3}+600 a \,e^{3} x^{3}+48 b \,d^{3} n +240 b \,d^{3} \ln \left(c \right)+600 b \,e^{3} x^{3} \ln \left(c \right)-450 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-600 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-120 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-300 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+600 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+600 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+300 b \,e^{3} n \,x^{3}-120 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+450 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+450 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-300 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+300 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+300 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-600 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-450 i \pi  b \,d^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+120 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+120 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+225 b \,d^{2} e n x +400 b d \,e^{2} n \,x^{2}}{1200 x^{5}}"," ",0,"-1/20*b*(10*e^3*x^3+20*d*e^2*x^2+15*d^2*e*x+4*d^3)/x^5*ln(x^n)-1/1200*(1200*b*d*e^2*x^2*ln(c)+900*b*d^2*e*x*ln(c)+600*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+450*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)+1200*a*d*e^2*x^2+900*a*d^2*e*x+240*a*d^3-300*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+600*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+450*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*e*x+600*a*e^3*x^3+48*b*d^3*n+240*b*d^3*ln(c)+600*b*e^3*x^3*ln(c)-120*I*Pi*b*d^3*csgn(I*c*x^n)^3-450*I*Pi*b*d^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-600*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+300*b*e^3*n*x^3+300*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^2*csgn(I*c)+300*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-120*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-300*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^3+120*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+120*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)-600*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^3-450*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^3+225*b*d^2*e*n*x+400*b*d*e^2*n*x^2)/x^5","C"
29,1,571,117,0.184000," ","int((e*x+d)^3*(b*ln(c*x^n)+a)/x^7,x)","-\frac{\left(20 e^{3} x^{3}+45 d \,e^{2} x^{2}+36 d^{2} e x +10 d^{3}\right) b \ln \left(x^{n}\right)}{60 x^{6}}-\frac{2700 b d \,e^{2} x^{2} \ln \left(c \right)+2160 b \,d^{2} e x \ln \left(c \right)+2700 a d \,e^{2} x^{2}+2160 a \,d^{2} e x +600 a \,d^{3}+1200 a \,e^{3} x^{3}+100 b \,d^{3} n +600 b \,d^{3} \ln \left(c \right)+1200 b \,e^{3} x^{3} \ln \left(c \right)-1080 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-1350 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-300 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-600 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+1350 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+1350 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+400 b \,e^{3} n \,x^{3}-300 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+1080 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+1080 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-600 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+600 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+600 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-1350 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-1080 i \pi  b \,d^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+300 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+300 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+432 b \,d^{2} e n x +675 b d \,e^{2} n \,x^{2}}{3600 x^{6}}"," ",0,"-1/60*b*(20*e^3*x^3+45*d*e^2*x^2+36*d^2*e*x+10*d^3)/x^6*ln(x^n)-1/3600*(2700*b*d*e^2*x^2*ln(c)+2160*b*d^2*e*x*ln(c)+1350*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1080*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)+2700*a*d*e^2*x^2+2160*a*d^2*e*x+600*a*d^3-600*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1350*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1080*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*e*x+1200*a*e^3*x^3+100*b*d^3*n+600*b*d^3*ln(c)+1200*b*e^3*x^3*ln(c)-1350*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-300*I*Pi*b*d^3*csgn(I*c*x^n)^3-1080*I*Pi*b*d^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+400*b*e^3*n*x^3+600*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^2*csgn(I*c)+600*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-300*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-600*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^3+300*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+300*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)-1350*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^3-1080*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^3+432*b*d^2*e*n*x+675*b*d*e^2*n*x^2)/x^6","C"
30,1,571,117,0.184000," ","int((e*x+d)^3*(b*ln(c*x^n)+a)/x^8,x)","-\frac{\left(35 e^{3} x^{3}+84 d \,e^{2} x^{2}+70 d^{2} e x +20 d^{3}\right) b \ln \left(x^{n}\right)}{140 x^{7}}-\frac{35280 b d \,e^{2} x^{2} \ln \left(c \right)+29400 b \,d^{2} e x \ln \left(c \right)+35280 a d \,e^{2} x^{2}+29400 a \,d^{2} e x +8400 a \,d^{3}+14700 a \,e^{3} x^{3}+1200 b \,d^{3} n +8400 b \,d^{3} \ln \left(c \right)+14700 b \,e^{3} x^{3} \ln \left(c \right)-14700 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-17640 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4200 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-7350 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+17640 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+17640 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3675 b \,e^{3} n \,x^{3}-4200 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+14700 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+14700 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-7350 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+7350 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+7350 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-17640 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-14700 i \pi  b \,d^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4200 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4200 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4900 b \,d^{2} e n x +7056 b d \,e^{2} n \,x^{2}}{58800 x^{7}}"," ",0,"-1/140*b*(35*e^3*x^3+84*d*e^2*x^2+70*d^2*e*x+20*d^3)/x^7*ln(x^n)-1/58800*(-17640*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-14700*I*Pi*b*d^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+35280*b*d*e^2*x^2*ln(c)+29400*b*d^2*e*x*ln(c)+14700*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*e*x+35280*a*d*e^2*x^2+29400*a*d^2*e*x+8400*a*d^3+17640*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+14700*a*e^3*x^3+1200*b*d^3*n+8400*b*d^3*ln(c)+14700*b*e^3*x^3*ln(c)-4200*I*Pi*b*d^3*csgn(I*c*x^n)^3+3675*b*e^3*n*x^3-7350*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+17640*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+14700*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)+7350*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-7350*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^3+4200*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+4200*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+7350*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^2*csgn(I*c)-4200*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-17640*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^3-14700*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^3+4900*b*d^2*e*n*x+7056*b*d*e^2*n*x^2)/x^7","C"
31,1,693,140,0.230000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x+d),x)","\frac{b \,d^{2} x \ln \left(c \right)}{e^{3}}-\frac{b \,d^{3} \ln \left(c \right) \ln \left(e x +d \right)}{e^{4}}-\frac{b d \,x^{2} \ln \left(c \right)}{2 e^{2}}+\frac{a \,x^{3}}{3 e}+\frac{b \,d^{3} n \dilog \left(-\frac{e x}{d}\right)}{e^{4}}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 e}+\frac{b \,d^{2} x \ln \left(x^{n}\right)}{e^{3}}-\frac{b \,d^{3} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{4}}-\frac{b d \,x^{2} \ln \left(x^{n}\right)}{2 e^{2}}-\frac{i \pi  b \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 e^{3}}-\frac{i \pi  b d \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e^{2}}-\frac{i \pi  b d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e^{2}}-\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)}{6 e}-\frac{49 b \,d^{3} n}{36 e^{4}}-\frac{a d \,x^{2}}{2 e^{2}}-\frac{a \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{b \,x^{3} \ln \left(c \right)}{3 e}+\frac{b \,d^{3} n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{4}}+\frac{i \pi  b \,d^{2} x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{3}}-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{4}}-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{4}}+\frac{i \pi  b \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{3}}+\frac{b \,x^{3} \ln \left(x^{n}\right)}{3 e}+\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 e^{2}}+\frac{i \pi  b \,d^{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 +d \right)}{2 e^{4}}-\frac{b n \,x^{3}}{9 e}+\frac{i \pi  b d \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 e^{2}}+\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 e^{4}}-\frac{i \pi  b \,d^{2} x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 e^{3}}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 e}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 e}-\frac{b \,d^{2} n x}{e^{3}}+\frac{a \,d^{2} x}{e^{3}}+\frac{b d n \,x^{2}}{4 e^{2}}"," ",0,"-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^2*x^2*d-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^3/e^4*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^3/e^4*ln(e*x+d)+b*ln(c)/e^3*x*d^2-b*ln(c)*d^3/e^4*ln(e*x+d)-1/2*b*ln(c)/e^2*x^2*d+b*n*d^3/e^4*dilog(-1/d*e*x)+1/3*a/e*x^3+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e*x^3-1/2*I*b*Pi*csgn(I*c*x^n)^3/e^3*x*d^2+1/4*I*b*Pi*csgn(I*c*x^n)^3/e^2*x^2*d+1/2*I*b*Pi*csgn(I*c*x^n)^3*d^3/e^4*ln(e*x+d)+1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e*x^3+b*ln(x^n)/e^3*x*d^2-b*ln(x^n)*d^3/e^4*ln(e*x+d)-1/2*b*ln(x^n)/e^2*x^2*d+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^3*x*d^2+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^3*x*d^2-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^2*x^2*d-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e*x^3-49/36*b*n*d^3/e^4+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^3/e^4*ln(e*x+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^2*x^2*d-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^3*x*d^2-1/2*a/e^2*x^2*d-a*d^3/e^4*ln(e*x+d)+1/3*b*ln(c)/e*x^3+b*n*d^3/e^4*ln(e*x+d)*ln(-1/d*e*x)+1/3*b*ln(x^n)/e*x^3-1/6*I*b*Pi*csgn(I*c*x^n)^3/e*x^3-1/9*b*n*x^3/e-b*d^2*n*x/e^3+a*d^2*x/e^3+1/4*b*d*n*x^2/e^2","C"
32,1,521,103,0.208000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x+d),x)","-\frac{b d x \ln \left(x^{n}\right)}{e^{2}}+\frac{b \,d^{2} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{3}}-\frac{b \,d^{2} n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{3}}+\frac{b \,d^{2} \ln \left(c \right) \ln \left(e x +d \right)}{e^{3}}-\frac{b d x \ln \left(c \right)}{e^{2}}-\frac{b \,d^{2} n \dilog \left(-\frac{e x}{d}\right)}{e^{3}}-\frac{i \pi  b \,d^{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 +d \right)}{2 e^{3}}+\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 e^{2}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 e}+\frac{a \,x^{2}}{2 e}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{3}}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 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)}{4 e}-\frac{i \pi  b d x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{2}}-\frac{i \pi  b d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{2}}+\frac{b \,x^{2} \ln \left(x^{n}\right)}{2 e}+\frac{5 b \,d^{2} n}{4 e^{3}}+\frac{a \,d^{2} \ln \left(e x +d \right)}{e^{3}}+\frac{b \,x^{2} \ln \left(c \right)}{2 e}-\frac{b n \,x^{2}}{4 e}-\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 e^{3}}+\frac{i \pi  b d x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 e^{2}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e}+\frac{b d n x}{e^{2}}-\frac{a d x}{e^{2}}"," ",0,"-b*ln(x^n)/e^2*x*d+b*ln(x^n)*d^2/e^3*ln(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^2/e^3*ln(e*x+d)-b*n*d^2/e^3*ln(e*x+d)*ln(-1/d*e*x)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e*x^2+1/2*I*b*Pi*csgn(I*c*x^n)^3/e^2*x*d+b*ln(c)*d^2/e^3*ln(e*x+d)-b*n*d^2/e^3*dilog(-1/d*e*x)-b*ln(c)/e^2*x*d-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e*x^2+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^2/e^3*ln(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^2*x*d+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^2/e^3*ln(e*x+d)+1/2*a/e*x^2-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^2*x*d-1/2*I*b*Pi*csgn(I*c*x^n)^3*d^2/e^3*ln(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^2*x*d+1/2*b*ln(x^n)/e*x^2-1/4*I*b*Pi*csgn(I*c*x^n)^3/e*x^2+5/4*b*n*d^2/e^3+a*d^2/e^3*ln(e*x+d)+1/2*b*ln(c)/e*x^2+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e*x^2-1/4*b*n*x^2/e+b*d*n*x/e^2-a*d*x/e^2","C"
33,1,343,69,0.232000," ","int(x*(b*ln(c*x^n)+a)/(e*x+d),x)","\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(e x +d \right)}{2 e^{2}}-\frac{i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{2}}-\frac{i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{2}}+\frac{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 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)}{2 e}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e}+\frac{i \pi  b x \,\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}}{2 e}+\frac{b d n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{2}}+\frac{b d n \dilog \left(-\frac{e x}{d}\right)}{e^{2}}-\frac{b d \ln \left(c \right) \ln \left(e x +d \right)}{e^{2}}-\frac{b d \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{2}}-\frac{b n x}{e}+\frac{b x \ln \left(c \right)}{e}+\frac{b x \ln \left(x^{n}\right)}{e}-\frac{a d \ln \left(e x +d \right)}{e^{2}}+\frac{a x}{e}-\frac{b d n}{e^{2}}"," ",0,"b*ln(x^n)/e*x-b*ln(x^n)*d/e^2*ln(e*x+d)-b*n*x/e-b*n*d/e^2+b*n*d/e^2*ln(e*x+d)*ln(-1/d*e*x)+b*n*d/e^2*dilog(-1/d*e*x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d/e^2*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/e*x+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d/e^2*ln(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e*x+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e*x+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e*x+1/2*I*b*Pi*csgn(I*c*x^n)^3*d/e^2*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d/e^2*ln(e*x+d)+b*ln(c)/e*x-b*ln(c)*d/e^2*ln(e*x+d)+a*x/e-a*d/e^2*ln(e*x+d)","C"
34,1,195,39,0.206000," ","int((b*ln(c*x^n)+a)/(e*x+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(e x +d \right)}{2 e}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \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 +d \right)}{2 e}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 e}-\frac{b n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e}-\frac{b n \dilog \left(-\frac{e x}{d}\right)}{e}+\frac{b \ln \left(c \right) \ln \left(e x +d \right)}{e}+\frac{b \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e}+\frac{a \ln \left(e x +d \right)}{e}"," ",0,"b*ln(e*x+d)/e*ln(x^n)-b/e*n*ln(e*x+d)*ln(-1/d*e*x)-b/e*n*dilog(-1/d*e*x)+1/2*I*ln(e*x+d)/e*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*ln(e*x+d)/e*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*ln(e*x+d)/e*b*Pi*csgn(I*c*x^n)^3+1/2*I*ln(e*x+d)/e*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+ln(e*x+d)/e*b*ln(c)+a*ln(e*x+d)/e","C"
35,1,336,44,0.180000," ","int((b*ln(c*x^n)+a)/x/(e*x+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(x \right)}{2 d}+\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 +d \right)}{2 d}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 d}-\frac{b n \ln \left(x \right)^{2}}{2 d}+\frac{b n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d}+\frac{b n \dilog \left(-\frac{e x}{d}\right)}{d}+\frac{b \ln \left(c \right) \ln \left(x \right)}{d}-\frac{b \ln \left(c \right) \ln \left(e x +d \right)}{d}+\frac{b \ln \left(x \right) \ln \left(x^{n}\right)}{d}-\frac{b \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d}+\frac{a \ln \left(x \right)}{d}-\frac{a \ln \left(e x +d \right)}{d}"," ",0,"b*ln(x^n)/d*ln(x)-b*ln(x^n)/d*ln(e*x+d)-1/2*b*n/d*ln(x)^2+b*n/d*ln(e*x+d)*ln(-1/d*e*x)+b*n/d*dilog(-1/d*e*x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/d*ln(x)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d*ln(x)+1/2*I*b*Pi*csgn(I*c*x^n)^3/d*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d*ln(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d*ln(x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d*ln(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d*ln(x)+b*ln(c)/d*ln(x)-b*ln(c)/d*ln(e*x+d)+a/d*ln(x)-a/d*ln(e*x+d)","C"
36,1,504,76,0.188000," ","int((b*ln(c*x^n)+a)/x^2/(e*x+d),x)","-\frac{b e n \dilog \left(-\frac{e x}{d}\right)}{d^{2}}+\frac{b e \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{2}}-\frac{b e \ln \left(x \right) \ln \left(x^{n}\right)}{d^{2}}+\frac{b e n \ln \left(x \right)^{2}}{2 d^{2}}-\frac{b e \ln \left(c \right) \ln \left(x \right)}{d^{2}}+\frac{b e \ln \left(c \right) \ln \left(e x +d \right)}{d^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d x}-\frac{b e n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{2}}-\frac{a}{d x}-\frac{b \ln \left(x^{n}\right)}{d x}-\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 d^{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 +d \right)}{2 d^{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 d^{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 +d \right)}{2 d^{2}}-\frac{a e \ln \left(x \right)}{d^{2}}+\frac{a e \ln \left(e x +d \right)}{d^{2}}-\frac{b \ln \left(c \right)}{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)}{2 d 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(x \right)}{2 d^{2}}-\frac{b n}{d x}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{2}}-\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 d^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d x}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d 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 +d \right)}{2 d^{2}}"," ",0,"b*ln(x^n)*e/d^2*ln(e*x+d)-b*ln(x^n)*e/d^2*ln(x)-b*n*e/d^2*dilog(-1/d*e*x)+1/2*b*n*e/d^2*ln(x)^2-b*ln(c)*e/d^2*ln(x)+b*ln(c)*e/d^2*ln(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2*ln(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2*ln(x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2*ln(x)+1/2*I*b*Pi*csgn(I*c*x^n)^3/d/x+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2*ln(x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2*ln(e*x+d)-b*n*e/d^2*ln(e*x+d)*ln(-1/d*e*x)-a/d/x-b*ln(x^n)/d/x-a*e/d^2*ln(x)+a*e/d^2*ln(e*x+d)-b*ln(c)/d/x-b*n/d/x-1/2*I*b*Pi*csgn(I*c*x^n)^3*e/d^2*ln(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^3*e/d^2*ln(x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/x-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/x","C"
37,1,689,109,0.193000," ","int((b*ln(c*x^n)+a)/x^3/(e*x+d),x)","\frac{b \,e^{2} n \dilog \left(-\frac{e x}{d}\right)}{d^{3}}+\frac{b e \ln \left(x^{n}\right)}{d^{2} x}-\frac{b \,e^{2} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{3}}+\frac{b \,e^{2} \ln \left(x \right) \ln \left(x^{n}\right)}{d^{3}}+\frac{b e \ln \left(c \right)}{d^{2} x}-\frac{b \,e^{2} \ln \left(c \right) \ln \left(e x +d \right)}{d^{3}}+\frac{b \,e^{2} \ln \left(c \right) \ln \left(x \right)}{d^{3}}-\frac{b \,e^{2} n \ln \left(x \right)^{2}}{2 d^{3}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d \,x^{2}}-\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 +d \right)}{2 d^{3}}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{2} x}+\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{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)}{4 d \,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 +d \right)}{2 d^{3}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{3}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{3}}-\frac{b \ln \left(x^{n}\right)}{2 d \,x^{2}}+\frac{b \,e^{2} n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{3}}+\frac{a \,e^{2} \ln \left(x \right)}{d^{3}}+\frac{a e}{d^{2} x}-\frac{a \,e^{2} \ln \left(e x +d \right)}{d^{3}}-\frac{b \ln \left(c \right)}{2 d \,x^{2}}-\frac{a}{2 d \,x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d \,x^{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)}{2 d^{2} 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(x \right)}{2 d^{3}}+\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 +d \right)}{2 d^{3}}-\frac{b n}{4 d \,x^{2}}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{3}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 d^{3}}-\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{2} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d \,x^{2}}+\frac{b e n}{d^{2} x}"," ",0,"b*ln(x^n)*e/d^2/x-b*ln(x^n)*e^2/d^3*ln(e*x+d)+b*ln(x^n)*e^2/d^3*ln(x)+b*ln(c)*e/d^2/x-b*ln(c)*e^2/d^3*ln(e*x+d)+b*ln(c)*e^2/d^3*ln(x)-1/2*b*n*e^2/d^3*ln(x)^2+b*n*e^2/d^3*dilog(-1/d*e*x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2/x+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3*ln(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3*ln(x)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3*ln(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2/x+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/x^2-1/2*b*ln(x^n)/d/x^2+1/4*I*b*Pi*csgn(I*c*x^n)^3/d/x^2+b*n*e^2/d^3*ln(e*x+d)*ln(-1/d*e*x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3*ln(x)+a*e^2/d^3*ln(x)+a*e/d^2/x-a*e^2/d^3*ln(e*x+d)-1/2*b*ln(c)/d/x^2+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3*ln(x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3*ln(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2/x-1/2*a/d/x^2-1/4*b*n/d/x^2-1/2*I*b*Pi*csgn(I*c*x^n)^3*e/d^2/x+1/2*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3*ln(e*x+d)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/x^2-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/x^2-1/2*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3*ln(x)+b*e*n/d^2/x","C"
38,1,868,145,0.195000," ","int((b*ln(c*x^n)+a)/x^4/(e*x+d),x)","-\frac{b \,e^{3} n \dilog \left(-\frac{e x}{d}\right)}{d^{4}}+\frac{b e \ln \left(x^{n}\right)}{2 d^{2} x^{2}}-\frac{b \,e^{3} \ln \left(x \right) \ln \left(x^{n}\right)}{d^{4}}+\frac{b \,e^{3} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{4}}-\frac{b \,e^{2} \ln \left(x^{n}\right)}{d^{3} x}+\frac{b \,e^{3} n \ln \left(x \right)^{2}}{2 d^{4}}-\frac{b \,e^{2} \ln \left(c \right)}{d^{3} x}+\frac{b e \ln \left(c \right)}{2 d^{2} x^{2}}-\frac{b \,e^{3} \ln \left(c \right) \ln \left(x \right)}{d^{4}}+\frac{b \,e^{3} \ln \left(c \right) \ln \left(e x +d \right)}{d^{4}}-\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{4}}+\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 +d \right)}{2 d^{4}}-\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{4}}+\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 +d \right)}{2 d^{4}}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{3} x}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{3} x}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{2} x^{2}}+\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{2} 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)}{6 d \,x^{3}}-\frac{a \,e^{3} \ln \left(x \right)}{d^{4}}+\frac{a \,e^{3} \ln \left(e x +d \right)}{d^{4}}-\frac{a \,e^{2}}{d^{3} x}+\frac{a e}{2 d^{2} x^{2}}-\frac{b \ln \left(c \right)}{3 d \,x^{3}}-\frac{b \ln \left(x^{n}\right)}{3 d \,x^{3}}-\frac{b \,e^{3} n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{4}}-\frac{a}{3 d \,x^{3}}+\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(x \right)}{2 d^{4}}-\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 +d \right)}{2 d^{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)}{2 d^{3} 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)}{4 d^{2} x^{2}}-\frac{b n}{9 d \,x^{3}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 d \,x^{3}}+\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{4}}-\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 d^{4}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{3} x}-\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d^{2} x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 d \,x^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 d \,x^{3}}+\frac{b e n}{4 d^{2} x^{2}}-\frac{b \,e^{2} n}{d^{3} x}"," ",0,"1/2*b*ln(x^n)*e/d^2/x^2-b*ln(x^n)*e^3/d^4*ln(x)+b*ln(x^n)*e^3/d^4*ln(e*x+d)-b*ln(x^n)*e^2/d^3/x+1/2*b*n*e^3/d^4*ln(x)^2-b*n*e^3/d^4*dilog(-1/d*e*x)-b*ln(c)*e^2/d^3/x+1/2*b*ln(c)*e/d^2/x^2-b*ln(c)*e^3/d^4*ln(x)+b*ln(c)*e^3/d^4*ln(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^3/d^4*ln(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^3/d^4*ln(x)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2/x^2+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/x^3-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^3/d^4*ln(x)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^3/d^4*ln(x)-a*e^3/d^4*ln(x)+a*e^3/d^4*ln(e*x+d)-a*e^2/d^3/x+1/2*a*e/d^2/x^2-1/3*b*ln(c)/d/x^3+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2/x^2+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^3/d^4*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3/x-1/3*b*ln(x^n)/d/x^3-b*n*e^3/d^4*ln(e*x+d)*ln(-1/d*e*x)+1/6*I*b*Pi*csgn(I*c*x^n)^3/d/x^3-1/3*a/d/x^3-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3/x+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2/x^2+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3/x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^3/d^4*ln(e*x+d)-1/9*b*n/d/x^3-1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/x^3-1/4*I*b*Pi*csgn(I*c*x^n)^3*e/d^2/x^2+1/2*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3/x-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/x^3+1/2*I*b*Pi*csgn(I*c*x^n)^3*e^3/d^4*ln(x)-1/2*I*b*Pi*csgn(I*c*x^n)^3*e^3/d^4*ln(e*x+d)+1/4*b*e*n/d^2/x^2-b*e^2*n/d^3/x","C"
39,1,739,148,0.210000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x+d)^2,x)","-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \left(e x +d \right) e^{4}}-\frac{3 i \pi  b \,d^{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 +d \right)}{2 e^{4}}+\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)}{e^{3}}-\frac{3 b \,d^{2} n \dilog \left(-\frac{e x}{d}\right)}{e^{4}}-\frac{b \,d^{2} n \ln \left(e x \right)}{e^{4}}+\frac{b \,d^{2} n \ln \left(e x +d \right)}{e^{4}}-\frac{2 b d x \ln \left(c \right)}{e^{3}}+\frac{b \,d^{3} \ln \left(c \right)}{\left(e x +d \right) e^{4}}+\frac{3 b \,d^{2} \ln \left(c \right) \ln \left(e x +d \right)}{e^{4}}+\frac{b \,d^{3} \ln \left(x^{n}\right)}{\left(e x +d \right) e^{4}}+\frac{3 b \,d^{2} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{4}}-\frac{2 b d x \ln \left(x^{n}\right)}{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)}{4 e^{2}}+\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{4}}+\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{4}}+\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{4}}+\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{4}}-\frac{i \pi  b d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{e^{3}}-\frac{i \pi  b d x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{e^{3}}+\frac{b \,x^{2} \ln \left(x^{n}\right)}{2 e^{2}}-\frac{2 a d x}{e^{3}}+\frac{a \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{3 a \,d^{2} \ln \left(e x +d \right)}{e^{4}}+\frac{b \,x^{2} \ln \left(c \right)}{2 e^{2}}+\frac{9 b \,d^{2} n}{4 e^{4}}+\frac{a \,x^{2}}{2 e^{2}}-\frac{3 b \,d^{2} n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{4}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 e^{2}}-\frac{b n \,x^{2}}{4 e^{2}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e^{2}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e^{2}}-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) e^{4}}-\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 e^{4}}+\frac{i \pi  b d x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{e^{3}}+\frac{2 b d n x}{e^{3}}"," ",0,"-3*b*n/e^4*d^2*dilog(-1/d*e*x)-b*n/e^4*d^2*ln(e*x)+b*n/e^4*d^2*ln(e*x+d)-2*b*ln(c)/e^3*x*d+b*ln(c)*d^3/e^4/(e*x+d)+3*b*ln(c)/e^4*d^2*ln(e*x+d)+b*ln(x^n)*d^3/e^4/(e*x+d)+3*b*ln(x^n)/e^4*d^2*ln(e*x+d)-2*b*ln(x^n)/e^3*x*d+I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^3*x*d-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^3/e^4/(e*x+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^2*x^2+3/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^4*d^2*ln(e*x+d)+1/2*b*ln(x^n)/e^2*x^2+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^3/e^4/(e*x+d)-2*a/e^3*x*d+a*d^3/e^4/(e*x+d)+3*a/e^4*d^2*ln(e*x+d)+1/2*b*ln(c)/e^2*x^2+9/4*b*n/e^4*d^2-1/4*I*b*Pi*csgn(I*c*x^n)^3/e^2*x^2+1/2*a/e^2*x^2+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^3/e^4/(e*x+d)-I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^3*x*d-3*b*n/e^4*d^2*ln(e*x+d)*ln(-1/d*e*x)+3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^4*d^2*ln(e*x+d)-I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^3*x*d-3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^4*d^2*ln(e*x+d)-1/4*b*n*x^2/e^2-3/2*I*b*Pi*csgn(I*c*x^n)^3/e^4*d^2*ln(e*x+d)+I*b*Pi*csgn(I*c*x^n)^3/e^3*x*d+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^2*x^2-1/2*I*b*Pi*csgn(I*c*x^n)^3*d^3/e^4/(e*x+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^2*x^2+2*b*d*n*x/e^3","C"
40,1,558,98,0.203000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x+d)^2,x)","-\frac{b \,d^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) e^{3}}-\frac{2 b d \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{3}}-\frac{2 b d \ln \left(c \right) \ln \left(e x +d \right)}{e^{3}}-\frac{b \,d^{2} \ln \left(c \right)}{\left(e x +d \right) e^{3}}-\frac{b d n \ln \left(e x +d \right)}{e^{3}}+\frac{b d n \ln \left(e x \right)}{e^{3}}+\frac{2 b d n \dilog \left(-\frac{e x}{d}\right)}{e^{3}}-\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 e^{2}}-\frac{i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{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)}{2 e^{2}}-\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{3}}-\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{3}}+\frac{b x \ln \left(x^{n}\right)}{e^{2}}+\frac{2 b d n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{3}}-\frac{b d n}{e^{3}}-\frac{a \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 a d \ln \left(e x +d \right)}{e^{3}}+\frac{b x \ln \left(c \right)}{e^{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(e x +d \right)}{e^{3}}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \left(e x +d \right) e^{3}}-\frac{b n x}{e^{2}}+\frac{a x}{e^{2}}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) e^{3}}+\frac{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{e^{3}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{2}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{2}}"," ",0,"-b*ln(x^n)*d^2/e^3/(e*x+d)-2*b*ln(x^n)/e^3*d*ln(e*x+d)-2*b*ln(c)/e^3*d*ln(e*x+d)-b*ln(c)*d^2/e^3/(e*x+d)-b*n/e^3*d*ln(e*x+d)+b*n/e^3*d*ln(e*x)+2*b*n/e^3*d*dilog(-1/d*e*x)-I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^3*d*ln(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^2/e^3/(e*x+d)+I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^3*d*ln(e*x+d)-I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^3*d*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/e^2*x+b*ln(x^n)/e^2*x+2*b*n/e^3*d*ln(e*x+d)*ln(-1/d*e*x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^2*x-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^2/e^3/(e*x+d)-b*n/e^3*d-a*d^2/e^3/(e*x+d)-2*a/e^3*d*ln(e*x+d)+b*ln(c)/e^2*x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^2/e^3/(e*x+d)-b*n*x/e^2+a*x/e^2+I*b*Pi*csgn(I*c*x^n)^3/e^3*d*ln(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^2*x+1/2*I*b*Pi*csgn(I*c*x^n)^3*d^2/e^3/(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^2*x","C"
41,1,389,65,0.179000," ","int(x*(b*ln(c*x^n)+a)/(e*x+d)^2,x)","-\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)}{2 \left(e x +d \right) e^{2}}+\frac{i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{2}}+\frac{i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{2}}-\frac{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) e^{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 +d \right)}{2 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 +d \right)}{2 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 +d \right)}{2 e^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 e^{2}}-\frac{b n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{2}}+\frac{b d \ln \left(c \right)}{\left(e x +d \right) e^{2}}+\frac{b d \ln \left(x^{n}\right)}{\left(e x +d \right) e^{2}}-\frac{b n \dilog \left(-\frac{e x}{d}\right)}{e^{2}}-\frac{b n \ln \left(e x \right)}{e^{2}}+\frac{b n \ln \left(e x +d \right)}{e^{2}}+\frac{b \ln \left(c \right) \ln \left(e x +d \right)}{e^{2}}+\frac{b \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{2}}+\frac{a d}{\left(e x +d \right) e^{2}}+\frac{a \ln \left(e x +d \right)}{e^{2}}"," ",0,"b*ln(x^n)*d/e^2/(e*x+d)+b*ln(x^n)/e^2*ln(e*x+d)-b*n/e^2*ln(e*x+d)*ln(-1/d*e*x)-b*n/e^2*dilog(-1/d*e*x)-b*n/e^2*ln(e*x)+b*n/e^2*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3*d/e^2/(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d/e^2/(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d/e^2/(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^2*ln(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^2*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/e^2*ln(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^2*ln(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d/e^2/(e*x+d)+b*ln(c)*d/e^2/(e*x+d)+b*ln(c)/e^2*ln(e*x+d)+a*d/e^2/(e*x+d)+a/e^2*ln(e*x+d)","C"
42,1,173,39,0.198000," ","int((b*ln(c*x^n)+a)/(e*x+d)^2,x)","-\frac{b \ln \left(x^{n}\right)}{\left(e x +d \right) e}-\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)+i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 b e n x \ln \left(-x \right)+2 b e n x \ln \left(e x +d \right)-2 b d n \ln \left(-x \right)+2 b d n \ln \left(e x +d \right)+2 b d \ln \left(c \right)+2 a d}{2 \left(e x +d \right) d e}"," ",0,"-b/e/(e*x+d)*ln(x^n)-1/2*(I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*d*csgn(I*c*x^n)^3+I*Pi*b*d*csgn(I*c)*csgn(I*c*x^n)^2+2*ln(e*x+d)*b*e*n*x-2*ln(-x)*b*e*n*x+2*ln(e*x+d)*b*d*n-2*ln(-x)*b*d*n+2*b*d*ln(c)+2*a*d)/(e*x+d)/e/d","C"
43,1,521,80,0.191000," ","int((b*ln(c*x^n)+a)/x/(e*x+d)^2,x)","\frac{b n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) d}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 d^{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 +d \right)}{2 d^{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(x \right)}{2 d^{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)}{2 \left(e x +d \right) d}-\frac{b n \ln \left(x \right)^{2}}{2 d^{2}}-\frac{b n \ln \left(x \right)}{d^{2}}+\frac{b \ln \left(x^{n}\right)}{\left(e x +d \right) d}+\frac{b \ln \left(x \right) \ln \left(x^{n}\right)}{d^{2}}-\frac{b \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{2}}+\frac{b \ln \left(c \right) \ln \left(x \right)}{d^{2}}-\frac{b \ln \left(c \right) \ln \left(e x +d \right)}{d^{2}}+\frac{b n \dilog \left(-\frac{e x}{d}\right)}{d^{2}}+\frac{b \ln \left(c \right)}{\left(e x +d \right) d}+\frac{a \ln \left(x \right)}{d^{2}}-\frac{a \ln \left(e x +d \right)}{d^{2}}+\frac{a}{\left(e x +d \right) d}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{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 +d \right)}{2 d^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d}+\frac{b n \ln \left(e x +d \right)}{d^{2}}"," ",0,"b*n/d^2*ln(e*x+d)*ln(-1/d*e*x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2*ln(e*x+d)-1/2*b*n/d^2*ln(x)^2-b*n/d^2*ln(x)+b*n/d^2*dilog(-1/d*e*x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2*ln(x)+1/2*I*b*Pi*csgn(I*c*x^n)^3/d^2*ln(e*x+d)+b*ln(x^n)/d/(e*x+d)+b*ln(x^n)/d^2*ln(x)-b*ln(x^n)/d^2*ln(e*x+d)+b*ln(c)/d^2*ln(x)-b*ln(c)/d^2*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/d/(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/d^2*ln(x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/(e*x+d)+b*ln(c)/d/(e*x+d)+a/d^2*ln(x)-a/d^2*ln(e*x+d)+a/d/(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2*ln(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2*ln(x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2*ln(x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2*ln(e*x+d)+b*n*ln(e*x+d)/d^2","C"
44,1,703,116,0.197000," ","int((b*ln(c*x^n)+a)/x^2/(e*x+d)^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(x \right)}{d^{3}}-\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 +d \right)}{d^{3}}-\frac{2 b e \ln \left(x \right) \ln \left(x^{n}\right)}{d^{3}}-\frac{b e \ln \left(x^{n}\right)}{\left(e x +d \right) d^{2}}+\frac{2 b e \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{3}}-\frac{2 b e \ln \left(c \right) \ln \left(x \right)}{d^{3}}-\frac{b e \ln \left(c \right)}{\left(e x +d \right) d^{2}}+\frac{2 b e \ln \left(c \right) \ln \left(e x +d \right)}{d^{3}}+\frac{b e n \ln \left(x \right)^{2}}{d^{3}}+\frac{b e n \ln \left(x \right)}{d^{3}}-\frac{2 b e n \dilog \left(-\frac{e x}{d}\right)}{d^{3}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{2}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{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)}{d^{3}}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{d^{3}}-\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)}{d^{3}}+\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 +d \right)}{d^{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)}{2 d^{2} x}-\frac{b \ln \left(x^{n}\right)}{d^{2} x}-\frac{2 b e n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{3}}-\frac{2 a e \ln \left(x \right)}{d^{3}}-\frac{a e}{\left(e x +d \right) d^{2}}+\frac{2 a e \ln \left(e x +d \right)}{d^{3}}-\frac{b \ln \left(c \right)}{d^{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)}{2 \left(e x +d \right) d^{2}}-\frac{a}{d^{2} x}-\frac{b n}{d^{2} x}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{2} x}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) d^{2}}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{d^{3}}-\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{d^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{2} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{2} x}-\frac{b e n \ln \left(e x +d \right)}{d^{3}}"," ",0,"-2*b*ln(x^n)/d^3*e*ln(x)-b*ln(x^n)*e/d^2/(e*x+d)+2*b*ln(x^n)/d^3*e*ln(e*x+d)-2*b*ln(c)/d^3*e*ln(x)-b*ln(c)*e/d^2/(e*x+d)+2*b*ln(c)/d^3*e*ln(e*x+d)+b*n/d^3*e*ln(x)^2-2*b*n/d^3*e*dilog(-1/d*e*x)+b*n/d^3*e*ln(x)+I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*e*ln(x)-I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*e*ln(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2/x+1/2*I*b*Pi*csgn(I*c*x^n)^3/d^2/x-I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*e*ln(x)-b*ln(x^n)/d^2/x-2*b*n/d^3*e*ln(e*x+d)*ln(-1/d*e*x)-I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*e*ln(x)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2/(e*x+d)-2*a/d^3*e*ln(x)-a*e/d^2/(e*x+d)+2*a/d^3*e*ln(e*x+d)-b*ln(c)/d^2/x-a/d^2/x+I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*e*ln(e*x+d)+I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*e*ln(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2/(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2/(e*x+d)-b*n/d^2/x-I*b*Pi*csgn(I*c*x^n)^3/d^3*e*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2/x+I*b*Pi*csgn(I*c*x^n)^3/d^3*e*ln(x)-b*e*n*ln(e*x+d)/d^3-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2/x+1/2*I*b*Pi*csgn(I*c*x^n)^3*e/d^2/(e*x+d)","C"
45,1,910,153,0.205000," ","int((b*ln(c*x^n)+a)/x^3/(e*x+d)^2,x)","\frac{b \,e^{2} \ln \left(c \right)}{\left(e x +d \right) d^{3}}+\frac{3 b \,e^{2} \ln \left(c \right) \ln \left(x \right)}{d^{4}}-\frac{3 b \,e^{2} \ln \left(c \right) \ln \left(e x +d \right)}{d^{4}}+\frac{2 b e \ln \left(c \right)}{d^{3} x}-\frac{b \,e^{2} n \ln \left(x \right)}{d^{4}}-\frac{3 b \,e^{2} n \ln \left(x \right)^{2}}{2 d^{4}}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) d^{3}}-\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{4}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 d^{4}}+\frac{2 b e \ln \left(x^{n}\right)}{d^{3} x}-\frac{3 b \,e^{2} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{4}}+\frac{b \,e^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) d^{3}}+\frac{3 b \,e^{2} \ln \left(x \right) \ln \left(x^{n}\right)}{d^{4}}-\frac{a}{2 d^{2} x^{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)}{d^{3} 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)}{2 \left(e x +d \right) d^{3}}-\frac{3 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(x \right)}{2 d^{4}}+\frac{3 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 +d \right)}{2 d^{4}}+\frac{3 b \,e^{2} n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{4}}-\frac{3 a \,e^{2} \ln \left(e x +d \right)}{d^{4}}+\frac{2 a e}{d^{3} x}+\frac{a \,e^{2}}{\left(e x +d \right) d^{3}}+\frac{3 a \,e^{2} \ln \left(x \right)}{d^{4}}-\frac{b \ln \left(c \right)}{2 d^{2} x^{2}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{3}}-\frac{b \ln \left(x^{n}\right)}{2 d^{2} x^{2}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{3}}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{d^{3} x}+\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{d^{3} 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)}{4 d^{2} x^{2}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{4}}-\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{4}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{4}}-\frac{3 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 +d \right)}{2 d^{4}}+\frac{3 b \,e^{2} n \dilog \left(-\frac{e x}{d}\right)}{d^{4}}-\frac{b n}{4 d^{2} x^{2}}-\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{d^{3} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{2} x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{2} x^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d^{2} x^{2}}+\frac{b \,e^{2} n \ln \left(e x +d \right)}{d^{4}}+\frac{2 b e n}{d^{3} x}"," ",0,"b*ln(c)*e^2/d^3/(e*x+d)+3*b*ln(c)/d^4*e^2*ln(x)-3*b*ln(c)/d^4*e^2*ln(e*x+d)+2*b*ln(c)/d^3*e/x-b*n/d^4*e^2*ln(x)-3/2*b*n/d^4*e^2*ln(x)^2+3*b*n/d^4*e^2*dilog(-1/d*e*x)+2*b*ln(x^n)/d^3*e/x-3*b*ln(x^n)/d^4*e^2*ln(e*x+d)+b*ln(x^n)*e^2/d^3/(e*x+d)+3*b*ln(x^n)/d^4*e^2*ln(x)-3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*e^2*ln(x)-I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*e/x+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3/(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3/(e*x+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2/x^2-3/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*e^2*ln(e*x+d)+I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*e/x+I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*e/x-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2/x^2-3/2*I*b*Pi*csgn(I*c*x^n)^3/d^4*e^2*ln(x)-1/2*a/d^2/x^2+1/4*I*b*Pi*csgn(I*c*x^n)^3/d^2/x^2-3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*e^2*ln(e*x+d)+3/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*e^2*ln(x)+3*b*n/d^4*e^2*ln(e*x+d)*ln(-1/d*e*x)-3*a/d^4*e^2*ln(e*x+d)+2*a/d^3*e/x+a*e^2/d^3/(e*x+d)+3*a/d^4*e^2*ln(x)-1/2*b*ln(c)/d^2/x^2-1/2*b*ln(x^n)/d^2/x^2+3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*e^2*ln(x)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2/x^2-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3/(e*x+d)+3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*e^2*ln(e*x+d)-1/4*b*n/d^2/x^2+3/2*I*b*Pi*csgn(I*c*x^n)^3/d^4*e^2*ln(e*x+d)-I*b*Pi*csgn(I*c*x^n)^3/d^3*e/x-1/2*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3/(e*x+d)+b*e^2*n*ln(e*x+d)/d^4+2*b*e*n/d^3/x","C"
46,1,764,141,0.210000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x+d)^3,x)","\frac{3 b d n \dilog \left(-\frac{e x}{d}\right)}{e^{4}}-\frac{3 b \,d^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) e^{4}}-\frac{3 b d \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{4}}+\frac{b \,d^{3} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{4}}-\frac{3 b \,d^{2} \ln \left(c \right)}{\left(e x +d \right) e^{4}}-\frac{3 b d \ln \left(c \right) \ln \left(e x +d \right)}{e^{4}}+\frac{b \,d^{3} \ln \left(c \right)}{2 \left(e x +d \right)^{2} e^{4}}+\frac{5 b d n \ln \left(e x \right)}{2 e^{4}}-\frac{5 b d n \ln \left(e x +d \right)}{2 e^{4}}-\frac{b \,d^{2} n}{2 \left(e x +d \right) e^{4}}+\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} e^{4}}+\frac{a \,d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{3 a \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{3 a d \ln \left(e x +d \right)}{e^{4}}+\frac{b x \ln \left(c \right)}{e^{3}}-\frac{b d n}{e^{4}}+\frac{b x \ln \left(x^{n}\right)}{e^{3}}+\frac{3 b d n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{4}}+\frac{a x}{e^{3}}-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \left(e x +d \right)^{2} e^{4}}+\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \left(e x +d \right) e^{4}}-\frac{3 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{4}}-\frac{3 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{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)}{2 e^{3}}-\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{4}}+\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} e^{4}}-\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{4}}+\frac{3 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(e x +d \right)}{2 e^{4}}-\frac{b n x}{e^{3}}-\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 e^{3}}-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} e^{4}}+\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) e^{4}}+\frac{3 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 e^{4}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{3}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{3}}"," ",0,"-3*b*ln(x^n)/e^4*d^2/(e*x+d)-3*b*ln(x^n)/e^4*d*ln(e*x+d)+1/2*b*ln(x^n)*d^3/e^4/(e*x+d)^2-3*b*ln(c)/e^4*d^2/(e*x+d)-3*b*ln(c)/e^4*d*ln(e*x+d)+1/2*b*ln(c)*d^3/e^4/(e*x+d)^2+5/2*b*n/e^4*d*ln(e*x)-5/2*b*n/e^4*d*ln(e*x+d)-1/2*b*n/e^4*d^2/(e*x+d)+3*b*n/e^4*d*dilog(-1/d*e*x)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^3/e^4/(e*x+d)^2+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^3/e^4/(e*x+d)^2+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^3/e^4/(e*x+d)^2-3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^4*d^2/(e*x+d)-3/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^4*d*ln(e*x+d)-3/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^4*d^2/(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^3*x+1/2*a*d^3/e^4/(e*x+d)^2-3*a/e^4*d^2/(e*x+d)-3*a/e^4*d*ln(e*x+d)+b*ln(c)/e^3*x-b*n/e^4*d+b*ln(x^n)/e^3*x-1/2*I*b*Pi*csgn(I*c*x^n)^3/e^3*x+3*b*n/e^4*d*ln(e*x+d)*ln(-1/d*e*x)+a/e^3*x-3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^4*d*ln(e*x+d)+3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^4*d*ln(e*x+d)+3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^4*d^2/(e*x+d)-b*n*x/e^3+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^3*x+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^3*x-1/4*I*b*Pi*csgn(I*c*x^n)^3*d^3/e^4/(e*x+d)^2+3/2*I*b*Pi*csgn(I*c*x^n)^3/e^4*d^2/(e*x+d)+3/2*I*b*Pi*csgn(I*c*x^n)^3/e^4*d*ln(e*x+d)","C"
47,1,596,101,0.180000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x+d)^3,x)","-\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)}{\left(e x +d \right) e^{3}}+\frac{2 b d \ln \left(c \right)}{\left(e x +d \right) e^{3}}-\frac{b \,d^{2} \ln \left(c \right)}{2 \left(e x +d \right)^{2} e^{3}}+\frac{b d n}{2 \left(e x +d \right) e^{3}}-\frac{b n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{3}}+\frac{2 b d \ln \left(x^{n}\right)}{\left(e x +d \right) e^{3}}-\frac{b \,d^{2} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{3}}-\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} e^{3}}-\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} e^{3}}+\frac{i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) e^{3}}+\frac{i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) 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 +d \right)}{2 e^{3}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 e^{3}}+\frac{a \ln \left(e x +d \right)}{e^{3}}+\frac{b \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{3}}-\frac{b n \dilog \left(-\frac{e x}{d}\right)}{e^{3}}-\frac{a \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{2 a d}{\left(e x +d \right) e^{3}}+\frac{b \ln \left(c \right) \ln \left(e x +d \right)}{e^{3}}-\frac{3 b n \ln \left(e x \right)}{2 e^{3}}+\frac{3 b n \ln \left(e x +d \right)}{2 e^{3}}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \left(e x +d \right)^{2} e^{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 +d \right)}{2 e^{3}}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} e^{3}}-\frac{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{\left(e x +d \right) e^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{3}}"," ",0,"2*b*ln(c)*d/e^3/(e*x+d)-1/2*b*ln(c)*d^2/e^3/(e*x+d)^2+1/2*b*n*d/e^3/(e*x+d)-b*n/e^3*ln(e*x+d)*ln(-1/d*e*x)+2*b*ln(x^n)*d/e^3/(e*x+d)-1/2*b*ln(x^n)*d^2/e^3/(e*x+d)^2-I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d/e^3/(e*x+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^2/e^3/(e*x+d)^2+I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d/e^3/(e*x+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^2/e^3/(e*x+d)^2-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^2/e^3/(e*x+d)^2+I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d/e^3/(e*x+d)+a/e^3*ln(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^3*ln(e*x+d)+b*ln(x^n)/e^3*ln(e*x+d)-1/2*a*d^2/e^3/(e*x+d)^2+2*a*d/e^3/(e*x+d)+b*ln(c)/e^3*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/e^3*ln(e*x+d)-3/2*b*n/e^3*ln(e*x)+3/2*b*n/e^3*ln(e*x+d)-b*n/e^3*dilog(-1/d*e*x)-I*b*Pi*csgn(I*c*x^n)^3*d/e^3/(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^3*ln(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^3*ln(e*x+d)+1/4*I*b*Pi*csgn(I*c*x^n)^3*d^2/e^3/(e*x+d)^2","C"
48,1,349,56,0.217000," ","int(x*(b*ln(c*x^n)+a)/(e*x+d)^3,x)","-\frac{\left(2 e x +d \right) b \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{2}}-\frac{-2 i \pi  b d e x \,\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 d e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b d e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 b \,e^{2} n \,x^{2} \ln \left(-x \right)+2 b \,e^{2} n \,x^{2} \ln \left(e x +d \right)-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 b d e n x \ln \left(-x \right)+4 b d e n x \ln \left(e x +d \right)-2 b \,d^{2} n \ln \left(-x \right)+2 b \,d^{2} n \ln \left(e x +d \right)+2 b d e n x +4 b d e x \ln \left(c \right)+4 a d e x +2 b \,d^{2} n +2 b \,d^{2} \ln \left(c \right)+2 a \,d^{2}}{4 \left(e x +d \right)^{2} d \,e^{2}}"," ",0,"-1/2*b*(2*e*x+d)/(e*x+d)^2/e^2*ln(x^n)-1/4*(-2*I*Pi*b*d*e*x*csgn(I*c*x^n)^3+I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+2*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*d^2*csgn(I*c*x^n)^3+2*I*Pi*b*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*ln(e*x+d)*b*e^2*n*x^2-2*ln(-x)*b*e^2*n*x^2+4*ln(e*x+d)*b*d*e*n*x-4*ln(-x)*b*d*e*n*x+4*b*d*e*x*ln(c)+2*ln(e*x+d)*b*d^2*n-2*ln(-x)*b*d^2*n+2*b*d*e*n*x+2*b*d^2*ln(c)+4*a*d*e*x+2*b*d^2*n+2*a*d^2)/d/e^2/(e*x+d)^2","C"
49,1,235,71,0.198000," ","int((b*ln(c*x^n)+a)/(e*x+d)^3,x)","-\frac{b \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e}-\frac{-2 b \,e^{2} n \,x^{2} \ln \left(-x \right)+2 b \,e^{2} n \,x^{2} \ln \left(e x +d \right)-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 b d e n x \ln \left(-x \right)+4 b d e n x \ln \left(e x +d \right)-2 b \,d^{2} n \ln \left(-x \right)+2 b \,d^{2} n \ln \left(e x +d \right)-2 b d e n x -2 b \,d^{2} n +2 b \,d^{2} \ln \left(c \right)+2 a \,d^{2}}{4 \left(e x +d \right)^{2} d^{2} e}"," ",0,"-1/2*b/e/(e*x+d)^2*ln(x^n)-1/4*(I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*d^2*csgn(I*c*x^n)^3+I*Pi*b*d^2*csgn(I*c)*csgn(I*c*x^n)^2-2*b*e^2*n*x^2*ln(-x)+2*b*e^2*n*x^2*ln(e*x+d)-4*b*d*e*n*x*ln(-x)+4*b*d*e*n*x*ln(e*x+d)-2*b*d^2*n*ln(-x)+2*b*d^2*n*ln(e*x+d)-2*b*d*e*n*x+2*b*d^2*ln(c)-2*b*d^2*n+2*a*d^2)/e/d^2/(e*x+d)^2","C"
50,1,703,126,0.197000," ","int((b*ln(c*x^n)+a)/x/(e*x+d)^3,x)","\frac{b n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{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)}{4 \left(e x +d \right)^{2} d}-\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 \left(e x +d \right) d^{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(x \right)}{2 d^{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 +d \right)}{2 d^{3}}+\frac{a \ln \left(x \right)}{d^{3}}-\frac{a \ln \left(e x +d \right)}{d^{3}}+\frac{a}{\left(e x +d \right) d^{2}}+\frac{a}{2 \left(e x +d \right)^{2} d}+\frac{b \ln \left(c \right) \ln \left(x \right)}{d^{3}}-\frac{b \ln \left(c \right) \ln \left(e x +d \right)}{d^{3}}+\frac{b \ln \left(c \right)}{\left(e x +d \right) d^{2}}+\frac{b \ln \left(c \right)}{2 \left(e x +d \right)^{2} d}-\frac{b n \ln \left(x \right)^{2}}{2 d^{3}}+\frac{b \ln \left(x \right) \ln \left(x^{n}\right)}{d^{3}}-\frac{b \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{3}}+\frac{b \ln \left(x^{n}\right)}{\left(e x +d \right) d^{2}}+\frac{b \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} d}+\frac{b n \dilog \left(-\frac{e x}{d}\right)}{d^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 d^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{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 +d \right)}{2 d^{3}}-\frac{b n}{2 \left(e x +d \right) d^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} d}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) d^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{3}}-\frac{3 b n \ln \left(x \right)}{2 d^{3}}+\frac{3 b n \ln \left(e x +d \right)}{2 d^{3}}"," ",0,"b*n/d^3*ln(e*x+d)*ln(-1/d*e*x)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/(e*x+d)^2-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*ln(x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2/(e*x+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/(e*x+d)^2-1/2*I*b*Pi*csgn(I*c*x^n)^3/d^3*ln(x)+1/2*I*b*Pi*csgn(I*c*x^n)^3/d^3*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/d^2/(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*ln(e*x+d)+a/d^3*ln(x)-a/d^3*ln(e*x+d)+a/d^2/(e*x+d)+1/2*a/d/(e*x+d)^2+b*ln(c)/d^3*ln(x)-b*ln(c)/d^3*ln(e*x+d)+b*ln(c)/d^2/(e*x+d)+1/2*b*ln(c)/d/(e*x+d)^2-1/2*b*n/d^3*ln(x)^2+b*n/d^3*dilog(-1/d*e*x)+b*ln(x^n)/d^3*ln(x)-b*ln(x^n)/d^3*ln(e*x+d)+b*ln(x^n)/d^2/(e*x+d)+1/2*b*ln(x^n)/d/(e*x+d)^2-1/4*I*b*Pi*csgn(I*c*x^n)^3/d/(e*x+d)^2-1/2*b*n/d^2/(e*x+d)+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/(e*x+d)^2-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*ln(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2/(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*ln(x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*ln(x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*ln(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2/(e*x+d)-3/2*b*n*ln(x)/d^3+3/2*b*n*ln(e*x+d)/d^3","C"
51,1,894,165,0.204000," ","int((b*ln(c*x^n)+a)/x^2/(e*x+d)^3,x)","\frac{3 b e n \ln \left(x \right)^{2}}{2 d^{4}}-\frac{b e \ln \left(c \right)}{2 \left(e x +d \right)^{2} d^{2}}-\frac{2 b e \ln \left(c \right)}{\left(e x +d \right) d^{3}}-\frac{3 b e \ln \left(c \right) \ln \left(x \right)}{d^{4}}+\frac{3 b e \ln \left(c \right) \ln \left(e x +d \right)}{d^{4}}-\frac{3 b e \ln \left(x \right) \ln \left(x^{n}\right)}{d^{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)}{2 d^{3} x}-\frac{b \ln \left(x^{n}\right)}{d^{3} x}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{2}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{2}}-\frac{a}{d^{3} x}-\frac{3 b e n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{4}}-\frac{3 a e \ln \left(x \right)}{d^{4}}+\frac{3 a e \ln \left(e x +d \right)}{d^{4}}-\frac{a e}{2 \left(e x +d \right)^{2} d^{2}}-\frac{2 a e}{\left(e x +d \right) d^{3}}-\frac{b \ln \left(c \right)}{d^{3} x}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) d^{3}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) d^{3}}+\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 \left(e x +d \right)^{2} d^{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)}{\left(e x +d \right) d^{3}}+\frac{3 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 d^{4}}-\frac{3 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 +d \right)}{2 d^{4}}-\frac{b e \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} d^{2}}+\frac{3 b e \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{4}}-\frac{2 b e \ln \left(x^{n}\right)}{\left(e x +d \right) d^{3}}+\frac{3 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{4}}-\frac{3 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 d^{4}}-\frac{3 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{4}}+\frac{3 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{4}}-\frac{3 b e n \dilog \left(-\frac{e x}{d}\right)}{d^{4}}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} d^{2}}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{\left(e x +d \right) d^{3}}+\frac{3 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{4}}-\frac{3 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 d^{4}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{3} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{3} x}-\frac{b n}{d^{3} x}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{3} x}+\frac{5 b e n \ln \left(x \right)}{2 d^{4}}-\frac{5 b e n \ln \left(e x +d \right)}{2 d^{4}}+\frac{b e n}{2 \left(e x +d \right) d^{3}}"," ",0,"3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*e*ln(x)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2/(e*x+d)^2-3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*e*ln(e*x+d)+I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*e/(e*x+d)+3/2*b*n/d^4*e*ln(x)^2-3*b*n/d^4*e*dilog(-1/d*e*x)-1/2*b*ln(c)*e/d^2/(e*x+d)^2-2*b*ln(c)/d^3*e/(e*x+d)-3*b*ln(c)/d^4*e*ln(x)+3*b*ln(c)/d^4*e*ln(e*x+d)-3*b*ln(x^n)/d^4*e*ln(x)+1/2*I*b*Pi*csgn(I*c*x^n)^3/d^3/x-3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*e*ln(x)-I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*e/(e*x+d)+3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*e*ln(e*x+d)-3/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*e*ln(x)+3/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*e*ln(e*x+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2/(e*x+d)^2-I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*e/(e*x+d)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2/(e*x+d)^2+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3/x-b*ln(x^n)/d^3/x-a/d^3/x-3*b*n/d^4*e*ln(e*x+d)*ln(-1/d*e*x)-3*a/d^4*e*ln(x)+3*a/d^4*e*ln(e*x+d)-1/2*a*e/d^2/(e*x+d)^2-2*a/d^3*e/(e*x+d)-b*ln(c)/d^3/x-1/2*b*ln(x^n)*e/d^2/(e*x+d)^2+3*b*ln(x^n)/d^4*e*ln(e*x+d)-2*b*ln(x^n)/d^3*e/(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3/x+3/2*I*b*Pi*csgn(I*c*x^n)^3/d^4*e*ln(x)+I*b*Pi*csgn(I*c*x^n)^3/d^3*e/(e*x+d)-b*n/d^3/x+1/4*I*b*Pi*csgn(I*c*x^n)^3*e/d^2/(e*x+d)^2-3/2*I*b*Pi*csgn(I*c*x^n)^3/d^4*e*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3/x+5/2*b*e*n*ln(x)/d^4-5/2*b*e*n*ln(e*x+d)/d^4+1/2*b*e*n/d^3/(e*x+d)","C"
52,1,1119,208,0.217000," ","int((b*ln(c*x^n)+a)/x^3/(e*x+d)^3,x)","\frac{3 b e \ln \left(c \right)}{d^{4} x}+\frac{3 b \,e^{2} \ln \left(c \right)}{\left(e x +d \right) d^{4}}+\frac{b \,e^{2} \ln \left(c \right)}{2 \left(e x +d \right)^{2} d^{3}}+\frac{6 b \,e^{2} \ln \left(c \right) \ln \left(x \right)}{d^{5}}-\frac{6 b \,e^{2} \ln \left(c \right) \ln \left(e x +d \right)}{d^{5}}-\frac{3 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)}{2 d^{4} x}-\frac{3 b \,e^{2} n \ln \left(x \right)^{2}}{d^{5}}-\frac{b \ln \left(x^{n}\right)}{2 d^{3} x^{2}}+\frac{3 a e}{d^{4} x}+\frac{3 a \,e^{2}}{\left(e x +d \right) d^{4}}+\frac{a \,e^{2}}{2 \left(e x +d \right)^{2} d^{3}}+\frac{6 a \,e^{2} \ln \left(x \right)}{d^{5}}-\frac{b \ln \left(c \right)}{2 d^{3} x^{2}}-\frac{6 a \,e^{2} \ln \left(e x +d \right)}{d^{5}}-\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)}{4 \left(e x +d \right)^{2} d^{3}}-\frac{3 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)}{2 \left(e x +d \right) d^{4}}-\frac{3 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(x \right)}{d^{5}}+\frac{3 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 +d \right)}{d^{5}}+\frac{6 b \,e^{2} n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{5}}-\frac{a}{2 d^{3} x^{2}}+\frac{6 b \,e^{2} \ln \left(x \right) \ln \left(x^{n}\right)}{d^{5}}+\frac{3 b e \ln \left(x^{n}\right)}{d^{4} x}-\frac{6 b \,e^{2} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{5}}+\frac{3 b \,e^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) d^{4}}+\frac{b \,e^{2} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} d^{3}}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} d^{3}}-\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) d^{4}}-\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{d^{5}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{d^{5}}-\frac{3 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{4} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{3} x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{3} x^{2}}-\frac{b n}{4 d^{3} x^{2}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{4}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{4}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{d^{5}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{3}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{3}}+\frac{6 b \,e^{2} n \dilog \left(-\frac{e x}{d}\right)}{d^{5}}+\frac{3 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{4} x}+\frac{3 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{4} 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)}{4 d^{3} x^{2}}-\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{d^{5}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{d^{5}}-\frac{3 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 +d \right)}{d^{5}}-\frac{7 b \,e^{2} n \ln \left(x \right)}{2 d^{5}}+\frac{7 b \,e^{2} n \ln \left(e x +d \right)}{2 d^{5}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d^{3} x^{2}}+\frac{3 b e n}{d^{4} x}-\frac{b \,e^{2} n}{2 \left(e x +d \right) d^{4}}"," ",0,"-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3/(e*x+d)^2+3*b*ln(c)/d^4*e/x+3*b*ln(c)/d^4*e^2/(e*x+d)+1/2*b*ln(c)*e^2/d^3/(e*x+d)^2+6*b*ln(c)/d^5*e^2*ln(x)-6*b*ln(c)/d^5*e^2*ln(e*x+d)-3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^5*e^2*ln(e*x+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3/x^2+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3/(e*x+d)^2-3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^5*e^2*ln(e*x+d)+3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^5*e^2*ln(x)+3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^5*e^2*ln(x)+3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*e/x+1/4*I*b*Pi*csgn(I*c*x^n)^3/d^3/x^2-3*b*n/d^5*e^2*ln(x)^2+6*b*n/d^5*e^2*dilog(-1/d*e*x)-1/2*b*ln(x^n)/d^3/x^2+3*a/d^4*e/x+3*a/d^4*e^2/(e*x+d)+1/2*a*e^2/d^3/(e*x+d)^2+6*a/d^5*e^2*ln(x)-1/2*b*ln(c)/d^3/x^2-6*a/d^5*e^2*ln(e*x+d)+6*b*n/d^5*e^2*ln(e*x+d)*ln(-1/d*e*x)-1/2*a/d^3/x^2+3/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*e/x-3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*e^2/(e*x+d)-3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*e/x+3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^5*e^2*ln(e*x+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3/(e*x+d)^2+3/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*e^2/(e*x+d)+3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*e^2/(e*x+d)+6*b*ln(x^n)/d^5*e^2*ln(x)-3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^5*e^2*ln(x)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3/x^2+3*b*ln(x^n)/d^4*e/x-6*b*ln(x^n)/d^5*e^2*ln(e*x+d)+3*b*ln(x^n)/d^4*e^2/(e*x+d)+1/2*b*ln(x^n)*e^2/d^3/(e*x+d)^2-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3/x^2-3*I*b*Pi*csgn(I*c*x^n)^3/d^5*e^2*ln(x)-1/4*b*n/d^3/x^2-3/2*I*b*Pi*csgn(I*c*x^n)^3/d^4*e/x+3*I*b*Pi*csgn(I*c*x^n)^3/d^5*e^2*ln(e*x+d)-3/2*I*b*Pi*csgn(I*c*x^n)^3/d^4*e^2/(e*x+d)-1/4*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3/(e*x+d)^2-7/2*b*e^2*n*ln(x)/d^5+7/2*b*e^2*n*ln(e*x+d)/d^5+3*b*e*n/d^4/x-1/2*b*e^2*n/d^4/(e*x+d)","C"
53,1,1153,215,0.228000," ","int(x^5*(b*ln(c*x^n)+a)/(e*x+d)^4,x)","-\frac{5 b \,d^{4} \ln \left(c \right)}{2 \left(e x +d \right)^{2} e^{6}}+\frac{10 b \,d^{3} \ln \left(c \right)}{\left(e x +d \right) e^{6}}+\frac{b \,d^{5} \ln \left(c \right)}{3 \left(e x +d \right)^{3} e^{6}}+\frac{10 b \,d^{2} \ln \left(c \right) \ln \left(e x +d \right)}{e^{6}}-\frac{4 b d x \ln \left(c \right)}{e^{5}}-\frac{4 b d x \ln \left(x^{n}\right)}{e^{5}}-\frac{5 b \,d^{4} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{6}}+\frac{10 b \,d^{3} \ln \left(x^{n}\right)}{\left(e x +d \right) e^{6}}+\frac{10 b \,d^{2} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{6}}+\frac{b \,d^{5} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{6}}-\frac{47 b \,d^{2} n \ln \left(e x \right)}{6 e^{6}}+\frac{47 b \,d^{2} n \ln \left(e x +d \right)}{6 e^{6}}+\frac{13 b \,d^{3} n}{6 \left(e x +d \right) e^{6}}-\frac{b \,d^{4} n}{6 \left(e x +d \right)^{2} e^{6}}+\frac{a \,x^{2}}{2 e^{4}}+\frac{b \,x^{2} \ln \left(x^{n}\right)}{2 e^{4}}-\frac{10 b \,d^{2} n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{6}}+\frac{17 b \,d^{2} n}{4 e^{6}}-\frac{4 a d x}{e^{5}}-\frac{5 a \,d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{10 a \,d^{3}}{\left(e x +d \right) e^{6}}+\frac{a \,d^{5}}{3 \left(e x +d \right)^{3} e^{6}}+\frac{10 a \,d^{2} \ln \left(e x +d \right)}{e^{6}}+\frac{b \,x^{2} \ln \left(c \right)}{2 e^{4}}-\frac{5 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{\left(e x +d \right) e^{6}}-\frac{5 i \pi  b \,d^{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 +d \right)}{e^{6}}+\frac{2 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)}{e^{5}}-\frac{i \pi  b \,d^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6 \left(e x +d \right)^{3} e^{6}}+\frac{5 i \pi  b \,d^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \left(e x +d \right)^{2} e^{6}}-\frac{10 b \,d^{2} n \dilog \left(-\frac{e x}{d}\right)}{e^{6}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e^{4}}-\frac{5 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{\left(e x +d \right) e^{6}}-\frac{5 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{2 i \pi  b d x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{e^{5}}-\frac{i \pi  b \,d^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 \left(e x +d \right)^{3} e^{6}}+\frac{5 i \pi  b \,d^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} e^{6}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e^{4}}-\frac{b n \,x^{2}}{4 e^{4}}+\frac{5 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{2 i \pi  b d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{e^{5}}-\frac{2 i \pi  b d x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{e^{5}}+\frac{5 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) e^{6}}+\frac{5 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) e^{6}}+\frac{5 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{e^{6}}-\frac{5 i \pi  b \,d^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} e^{6}}-\frac{5 i \pi  b \,d^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} e^{6}}-\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 e^{4}}+\frac{i \pi  b \,d^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} e^{6}}+\frac{i \pi  b \,d^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} e^{6}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 e^{4}}+\frac{4 b d n x}{e^{5}}"," ",0,"-5/2*b*ln(c)/e^6*d^4/(e*x+d)^2+10*b*ln(c)/e^6*d^3/(e*x+d)+1/3*b*ln(c)*d^5/e^6/(e*x+d)^3+10*b*ln(c)/e^6*d^2*ln(e*x+d)-4*b*ln(c)/e^5*x*d-4*b*ln(x^n)/e^5*x*d-5/2*b*ln(x^n)/e^6*d^4/(e*x+d)^2+10*b*ln(x^n)/e^6*d^3/(e*x+d)+10*b*ln(x^n)/e^6*d^2*ln(e*x+d)+1/3*b*ln(x^n)*d^5/e^6/(e*x+d)^3-47/6*b*n/e^6*d^2*ln(e*x)+47/6*b*n/e^6*d^2*ln(e*x+d)+13/6*b*n/e^6*d^3/(e*x+d)-1/6*b*n/e^6*d^4/(e*x+d)^2-10*b*n/e^6*d^2*dilog(-1/d*e*x)-2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^5*x*d-2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^5*x*d-5/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^6*d^4/(e*x+d)^2+5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^6*d^3/(e*x+d)-5/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^6*d^4/(e*x+d)^2+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^5/e^6/(e*x+d)^3-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^4*x^2-1/4*I*b*Pi*csgn(I*c*x^n)^3/e^4*x^2+1/2*a/e^4*x^2+1/2*b*ln(x^n)/e^4*x^2-10*b*n/e^6*d^2*ln(e*x+d)*ln(-1/d*e*x)+5/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^6*d^4/(e*x+d)^2-5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^6*d^3/(e*x+d)+17/4*b*n/e^6*d^2-4*a/e^5*x*d-5/2*a/e^6*d^4/(e*x+d)^2+10*a/e^6*d^3/(e*x+d)+1/3*a*d^5/e^6/(e*x+d)^3+10*a/e^6*d^2*ln(e*x+d)+1/2*b*ln(c)/e^4*x^2+5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^6*d^2*ln(e*x+d)-5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^6*d^2*ln(e*x+d)-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^5/e^6/(e*x+d)^3+5*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^6*d^2*ln(e*x+d)+5*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^6*d^3/(e*x+d)+1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^5/e^6/(e*x+d)^3+2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^5*x*d+2*I*b*Pi*csgn(I*c*x^n)^3/e^5*x*d+5/4*I*b*Pi*csgn(I*c*x^n)^3/e^6*d^4/(e*x+d)^2-5*I*b*Pi*csgn(I*c*x^n)^3/e^6*d^3/(e*x+d)-5*I*b*Pi*csgn(I*c*x^n)^3/e^6*d^2*ln(e*x+d)-1/6*I*b*Pi*csgn(I*c*x^n)^3*d^5/e^6/(e*x+d)^3-1/4*b*n*x^2/e^4+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^4*x^2+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^4*x^2+4*b*d*n*x/e^5","C"
54,1,969,173,0.220000," ","int(x^4*(b*ln(c*x^n)+a)/(e*x+d)^4,x)","-\frac{i \pi  b \,d^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} e^{5}}-\frac{4 b d \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{5}}-\frac{b \,d^{4} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{5}}+\frac{2 b \,d^{3} \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} e^{5}}-\frac{6 b \,d^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) e^{5}}+\frac{i \pi  b \,d^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 \left(e x +d \right)^{3} e^{5}}-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{\left(e x +d \right)^{2} e^{5}}+\frac{13 b d n \ln \left(e x \right)}{3 e^{5}}+\frac{b \,d^{3} n}{6 \left(e x +d \right)^{2} e^{5}}-\frac{13 b d n \ln \left(e x +d \right)}{3 e^{5}}-\frac{5 b \,d^{2} n}{3 \left(e x +d \right) e^{5}}+\frac{2 b \,d^{3} \ln \left(c \right)}{\left(e x +d \right)^{2} e^{5}}-\frac{6 b \,d^{2} \ln \left(c \right)}{\left(e x +d \right) e^{5}}-\frac{b \,d^{4} \ln \left(c \right)}{3 \left(e x +d \right)^{3} e^{5}}-\frac{4 b d \ln \left(c \right) \ln \left(e x +d \right)}{e^{5}}+\frac{4 b d n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{5}}-\frac{b d n}{e^{5}}+\frac{b x \ln \left(x^{n}\right)}{e^{4}}-\frac{4 a d \ln \left(e x +d \right)}{e^{5}}-\frac{a \,d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{2 a \,d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{6 a \,d^{2}}{\left(e x +d \right) e^{5}}+\frac{b x \ln \left(c \right)}{e^{4}}+\frac{a x}{e^{4}}+\frac{i \pi  b \,d^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6 \left(e x +d \right)^{3} e^{5}}-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{\left(e x +d \right)^{2} e^{5}}+\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{\left(e x +d \right) e^{5}}+\frac{4 b d n \dilog \left(-\frac{e x}{d}\right)}{e^{5}}-\frac{2 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{2 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{e^{5}}-\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 e^{4}}-\frac{b n x}{e^{4}}+\frac{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) \ln \left(e x +d \right)}{e^{5}}-\frac{i \pi  b \,d^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} e^{5}}+\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right)^{2} e^{5}}+\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right)^{2} e^{5}}-\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) e^{5}}-\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) e^{5}}+\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{\left(e x +d \right) e^{5}}+\frac{2 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{4}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{4}}-\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 e^{4}}"," ",0,"-I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^5*d^3/(e*x+d)^2-4*b*ln(x^n)/e^5*d*ln(e*x+d)-1/3*b*ln(x^n)*d^4/e^5/(e*x+d)^3+2*b*ln(x^n)/e^5*d^3/(e*x+d)^2-6*b*ln(x^n)/e^5*d^2/(e*x+d)+13/3*b*n/e^5*d*ln(e*x)+1/6*b*n/e^5*d^3/(e*x+d)^2-13/3*b*n/e^5*d*ln(e*x+d)-5/3*b*n/e^5*d^2/(e*x+d)+4*b*n/e^5*d*dilog(-1/d*e*x)+2*b*ln(c)/e^5*d^3/(e*x+d)^2-6*b*ln(c)/e^5*d^2/(e*x+d)-1/3*b*ln(c)*d^4/e^5/(e*x+d)^3-4*b*ln(c)/e^5*d*ln(e*x+d)+I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^5*d^3/(e*x+d)^2+I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^5*d^3/(e*x+d)^2-1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^4/e^5/(e*x+d)^3-2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^5*d*ln(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^4*x-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^4/e^5/(e*x+d)^3-3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^5*d^2/(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/e^4*x-2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^5*d*ln(e*x+d)-3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^5*d^2/(e*x+d)+4*b*n/e^5*d*ln(e*x+d)*ln(-1/d*e*x)-b*n/e^5*d+b*ln(x^n)/e^4*x-4*a/e^5*d*ln(e*x+d)-1/3*a*d^4/e^5/(e*x+d)^3+2*a/e^5*d^3/(e*x+d)^2-6*a/e^5*d^2/(e*x+d)+b*ln(c)/e^4*x+a/e^4*x+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^4*x+2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^5*d*ln(e*x+d)+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^4/e^5/(e*x+d)^3+3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^5*d^2/(e*x+d)-b*n*x/e^4+1/6*I*b*Pi*csgn(I*c*x^n)^3*d^4/e^5/(e*x+d)^3+2*I*b*Pi*csgn(I*c*x^n)^3/e^5*d*ln(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^4*x+3*I*b*Pi*csgn(I*c*x^n)^3/e^5*d^2/(e*x+d)-I*b*Pi*csgn(I*c*x^n)^3/e^5*d^3/(e*x+d)^2","C"
55,1,801,133,0.190000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x+d)^4,x)","-\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} e^{4}}-\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} e^{4}}+\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} e^{4}}+\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} e^{4}}-\frac{3 b \,d^{2} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{4}}+\frac{3 b d \ln \left(x^{n}\right)}{\left(e x +d \right) e^{4}}+\frac{b \,d^{3} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{4}}-\frac{b \,d^{2} n}{6 \left(e x +d \right)^{2} e^{4}}-\frac{b n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{4}}-\frac{3 b \,d^{2} \ln \left(c \right)}{2 \left(e x +d \right)^{2} e^{4}}+\frac{3 b d \ln \left(c \right)}{\left(e x +d \right) e^{4}}+\frac{b \,d^{3} \ln \left(c \right)}{3 \left(e x +d \right)^{3} e^{4}}+\frac{7 b d n}{6 \left(e x +d \right) e^{4}}-\frac{3 a \,d^{2}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{3 a d}{\left(e x +d \right) e^{4}}+\frac{a \,d^{3}}{3 \left(e x +d \right)^{3} e^{4}}+\frac{b \ln \left(c \right) \ln \left(e x +d \right)}{e^{4}}+\frac{a \ln \left(e x +d \right)}{e^{4}}+\frac{b \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{4}}-\frac{b n \dilog \left(-\frac{e x}{d}\right)}{e^{4}}-\frac{11 b n \ln \left(e x \right)}{6 e^{4}}+\frac{11 b n \ln \left(e x +d \right)}{6 e^{4}}+\frac{3 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{4}}+\frac{3 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{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 +d \right)}{2 e^{4}}-\frac{3 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)}{2 \left(e x +d \right) e^{4}}-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6 \left(e x +d \right)^{3} e^{4}}+\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \left(e x +d \right)^{2} e^{4}}-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 \left(e x +d \right)^{3} e^{4}}+\frac{3 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} e^{4}}-\frac{3 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) e^{4}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 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 +d \right)}{2 e^{4}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 e^{4}}"," ",0,"3/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^2/e^4/(e*x+d)^2-3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d/e^4/(e*x+d)-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^3/e^4/(e*x+d)^3-3/2*b*ln(x^n)*d^2/e^4/(e*x+d)^2+3*b*ln(x^n)*d/e^4/(e*x+d)+1/3*b*ln(x^n)*d^3/e^4/(e*x+d)^3-1/6*b*n*d^2/e^4/(e*x+d)^2-b*n/e^4*ln(e*x+d)*ln(-1/d*e*x)-3/2*b*ln(c)*d^2/e^4/(e*x+d)^2+3*b*ln(c)*d/e^4/(e*x+d)+1/3*b*ln(c)*d^3/e^4/(e*x+d)^3+7/6*b*n*d/e^4/(e*x+d)-3/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^2/e^4/(e*x+d)^2-3/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^2/e^4/(e*x+d)^2-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^4*ln(e*x+d)+3/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d/e^4/(e*x+d)+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^3/e^4/(e*x+d)^3+3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d/e^4/(e*x+d)+1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^3/e^4/(e*x+d)^3+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^4*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/e^4*ln(e*x+d)-3/2*a*d^2/e^4/(e*x+d)^2+3*a*d/e^4/(e*x+d)+1/3*a*d^3/e^4/(e*x+d)^3+b*ln(c)/e^4*ln(e*x+d)+a/e^4*ln(e*x+d)+b*ln(x^n)/e^4*ln(e*x+d)-11/6*b*n/e^4*ln(e*x)+11/6*b*n/e^4*ln(e*x+d)-b*n/e^4*dilog(-1/d*e*x)-3/2*I*b*Pi*csgn(I*c*x^n)^3*d/e^4/(e*x+d)+3/4*I*b*Pi*csgn(I*c*x^n)^3*d^2/e^4/(e*x+d)^2+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^4*ln(e*x+d)-1/6*I*b*Pi*csgn(I*c*x^n)^3*d^3/e^4/(e*x+d)^3","C"
56,1,553,71,0.234000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x+d)^4,x)","-\frac{\left(3 e^{2} x^{2}+3 d e x +d^{2}\right) b \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{3}}-\frac{6 b d \,e^{2} x^{2} \ln \left(c \right)+6 b \,d^{2} e x \ln \left(c \right)+6 a d \,e^{2} x^{2}+6 a \,d^{2} e x +2 a \,d^{3}+3 b \,d^{3} n +2 b \,d^{3} n \ln \left(e x +d \right)-2 b \,d^{3} n \ln \left(-x \right)+2 b \,d^{3} \ln \left(c \right)-3 i \pi  b \,d^{2} e x \,\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 d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b \,d^{3} \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 d \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 b \,e^{3} n \,x^{3} \ln \left(e x +d \right)-2 b \,e^{3} n \,x^{3} \ln \left(-x \right)-i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 b d \,e^{2} n \,x^{2} \ln \left(e x +d \right)+6 b \,d^{2} e n x \ln \left(e x +d \right)-6 b d \,e^{2} n \,x^{2} \ln \left(-x \right)-6 b \,d^{2} e n x \ln \left(-x \right)+3 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b d \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-3 i \pi  b \,d^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+7 b \,d^{2} e n x +4 b d \,e^{2} n \,x^{2}}{6 \left(e x +d \right)^{3} d \,e^{3}}"," ",0,"-1/3*b*(3*e^2*x^2+3*d*e*x+d^2)/(e*x+d)^3/e^3*ln(x^n)-1/6*(6*b*d*e^2*x^2*ln(c)+6*b*d^2*e*x*ln(c)+3*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+3*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)+6*a*d*e^2*x^2+6*a*d^2*e*x+2*a*d^3+3*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*e*x+3*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+3*b*d^3*n+2*ln(e*x+d)*b*d^3*n-2*ln(-x)*b*d^3*n+2*b*d^3*ln(c)-3*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*Pi*b*d^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*d^3*csgn(I*c*x^n)^3+2*ln(e*x+d)*b*e^3*n*x^3-2*ln(-x)*b*e^3*n*x^3+6*ln(e*x+d)*b*d*e^2*n*x^2+6*ln(e*x+d)*b*d^2*e*n*x-6*ln(-x)*b*d*e^2*n*x^2-6*ln(-x)*b*d^2*e*n*x+I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^3-3*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^3+7*b*d^2*e*n*x+4*b*d*e^2*n*x^2)/d/e^3/(e*x+d)^3","C"
57,1,403,108,0.242000," ","int(x*(b*ln(c*x^n)+a)/(e*x+d)^4,x)","-\frac{\left(3 e x +d \right) b \ln \left(x^{n}\right)}{6 \left(e x +d \right)^{3} e^{2}}-\frac{-2 b \,e^{3} n \,x^{3} \ln \left(-x \right)+2 b \,e^{3} n \,x^{3} \ln \left(e x +d \right)-3 i \pi  b \,d^{2} e x \,\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 \,d^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,d^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \,d^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 b d \,e^{2} n \,x^{2} \ln \left(-x \right)+6 b d \,e^{2} n \,x^{2} \ln \left(e x +d \right)-i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 b \,d^{2} e n x \ln \left(-x \right)+6 b \,d^{2} e n x \ln \left(e x +d \right)-2 b d \,e^{2} n \,x^{2}-2 b \,d^{3} n \ln \left(-x \right)+2 b \,d^{3} n \ln \left(e x +d \right)-2 b \,d^{2} e n x +6 b \,d^{2} e x \ln \left(c \right)+6 a \,d^{2} e x +2 b \,d^{3} \ln \left(c \right)+2 a \,d^{3}}{12 \left(e x +d \right)^{3} d^{2} e^{2}}"," ",0,"-1/6*b*(3*e*x+d)/(e*x+d)^3/e^2*ln(x^n)-1/12*(-I*Pi*b*d^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-3*I*Pi*b*d^2*e*x*csgn(I*c*x^n)^3-3*I*Pi*b*d^2*e*x*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+3*I*Pi*b*d^2*e*x*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*b*d^3*csgn(I*c)*csgn(I*c*x^n)^2-I*Pi*b*d^3*csgn(I*c*x^n)^3+3*I*Pi*b*d^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2-2*b*e^3*n*x^3*ln(-x)+2*b*e^3*n*x^3*ln(e*x+d)-6*b*d*e^2*n*x^2*ln(-x)+6*b*d*e^2*n*x^2*ln(e*x+d)-6*b*d^2*e*n*x*ln(-x)+6*b*d^2*e*n*x*ln(e*x+d)-2*b*d*e^2*n*x^2+6*b*d^2*e*x*ln(c)-2*b*d^3*n*ln(-x)+2*b*d^3*n*ln(e*x+d)-2*b*d^2*e*n*x+2*b*d^3*ln(c)+6*a*d^2*e*x+2*a*d^3)/d^2/e^2/(e*x+d)^3","C"
58,1,284,88,0.205000," ","int((b*ln(c*x^n)+a)/(e*x+d)^4,x)","-\frac{b \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e}-\frac{-2 b \,e^{3} n \,x^{3} \ln \left(-x \right)+2 b \,e^{3} n \,x^{3} \ln \left(e x +d \right)-6 b d \,e^{2} n \,x^{2} \ln \left(-x \right)+6 b d \,e^{2} n \,x^{2} \ln \left(e x +d \right)-i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 b \,d^{2} e n x \ln \left(-x \right)+6 b \,d^{2} e n x \ln \left(e x +d \right)-2 b d \,e^{2} n \,x^{2}-2 b \,d^{3} n \ln \left(-x \right)+2 b \,d^{3} n \ln \left(e x +d \right)-5 b \,d^{2} e n x -3 b \,d^{3} n +2 b \,d^{3} \ln \left(c \right)+2 a \,d^{3}}{6 \left(e x +d \right)^{3} d^{3} e}"," ",0,"-1/3*b/e/(e*x+d)^3*ln(x^n)-1/6*(I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*d^3*csgn(I*c)*csgn(I*c*x^n)^2-I*Pi*b*d^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*d^3*csgn(I*c*x^n)^3+2*b*e^3*n*x^3*ln(e*x+d)-2*b*e^3*n*x^3*ln(-x)+6*b*d*e^2*n*x^2*ln(e*x+d)-6*b*d*e^2*n*x^2*ln(-x)+6*b*d^2*e*n*x*ln(e*x+d)-6*b*d^2*e*n*x*ln(-x)-2*b*d*e^2*n*x^2+2*b*d^3*n*ln(e*x+d)-2*b*d^3*n*ln(-x)-5*b*d^2*e*n*x+2*b*d^3*ln(c)-3*b*d^3*n+2*a*d^3)/d^3/e/(e*x+d)^3","C"
59,1,884,162,0.203000," ","int((b*ln(c*x^n)+a)/x/(e*x+d)^4,x)","\frac{b n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{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(x \right)}{2 d^{4}}+\frac{b n \dilog \left(-\frac{e x}{d}\right)}{d^{4}}-\frac{b n \ln \left(x \right)^{2}}{2 d^{4}}-\frac{a \ln \left(e x +d \right)}{d^{4}}+\frac{a}{\left(e x +d \right) d^{3}}+\frac{a}{2 \left(e x +d \right)^{2} d^{2}}+\frac{a}{3 \left(e x +d \right)^{3} d}+\frac{a \ln \left(x \right)}{d^{4}}+\frac{b \ln \left(c \right)}{\left(e x +d \right) d^{3}}+\frac{b \ln \left(c \right)}{2 \left(e x +d \right)^{2} d^{2}}+\frac{b \ln \left(c \right)}{3 \left(e x +d \right)^{3} d}+\frac{b \ln \left(c \right) \ln \left(x \right)}{d^{4}}-\frac{b \ln \left(c \right) \ln \left(e x +d \right)}{d^{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 +d \right)}{2 d^{4}}+\frac{b \ln \left(x \right) \ln \left(x^{n}\right)}{d^{4}}-\frac{b \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{4}}+\frac{b \ln \left(x^{n}\right)}{\left(e x +d \right) d^{3}}+\frac{b \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} d^{2}}+\frac{b \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} d}-\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 \left(e x +d \right) d^{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)}{6 \left(e x +d \right)^{3} d}-\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 \left(e x +d \right)^{2} d^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{4}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{4}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{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 +d \right)}{2 d^{4}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} d}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} d}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{2}}-\frac{b n}{6 \left(e x +d \right)^{2} d^{2}}-\frac{5 b n}{6 \left(e x +d \right) d^{3}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 \left(e x +d \right)^{3} d}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} d^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) d^{3}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{4}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 d^{4}}-\frac{11 b n \ln \left(x \right)}{6 d^{4}}+\frac{11 b n \ln \left(e x +d \right)}{6 d^{4}}"," ",0,"b*n/d^4*ln(e*x+d)*ln(-1/d*e*x)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2/(e*x+d)^2-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/(e*x+d)^3-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*ln(x)+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/(e*x+d)^3+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*ln(x)+1/2*I*b*Pi*csgn(I*c*x^n)^3/d^4*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/d^4*ln(x)-1/6*I*b*Pi*csgn(I*c*x^n)^3/d/(e*x+d)^3-1/4*I*b*Pi*csgn(I*c*x^n)^3/d^2/(e*x+d)^2-1/2*b*n/d^4*ln(x)^2+b*n/d^4*dilog(-1/d*e*x)-a/d^4*ln(e*x+d)+a/d^3/(e*x+d)+1/2*a/d^2/(e*x+d)^2+1/3*a/d/(e*x+d)^3+a/d^4*ln(x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*ln(e*x+d)+b*ln(c)/d^3/(e*x+d)+1/2*b*ln(c)/d^2/(e*x+d)^2+1/3*b*ln(c)/d/(e*x+d)^3+b*ln(c)/d^4*ln(x)-b*ln(c)/d^4*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/d^3/(e*x+d)+b*ln(x^n)/d^4*ln(x)-b*ln(x^n)/d^4*ln(e*x+d)+b*ln(x^n)/d^3/(e*x+d)+1/2*b*ln(x^n)/d^2/(e*x+d)^2+1/3*b*ln(x^n)/d/(e*x+d)^3-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3/(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*ln(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*ln(x)+1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/(e*x+d)^3-1/6*b*n/d^2/(e*x+d)^2-5/6*b*n/d^3/(e*x+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2/(e*x+d)^2+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3/(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*ln(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3/(e*x+d)+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2/(e*x+d)^2-11/6*b*n*ln(x)/d^4+11/6*b*n*ln(e*x+d)/d^4","C"
60,1,1083,203,0.207000," ","int((b*ln(c*x^n)+a)/x^2/(e*x+d)^4,x)","\frac{2 b e n \ln \left(x \right)^{2}}{d^{5}}+\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 d^{4} x}-\frac{4 b e n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{5}}-\frac{4 a e \ln \left(x \right)}{d^{5}}+\frac{4 a e \ln \left(e x +d \right)}{d^{5}}-\frac{a e}{3 \left(e x +d \right)^{3} d^{2}}-\frac{3 a e}{\left(e x +d \right) d^{4}}-\frac{a e}{\left(e x +d \right)^{2} d^{3}}-\frac{b \ln \left(c \right)}{d^{4} x}-\frac{b \ln \left(x^{n}\right)}{d^{4} x}+\frac{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(x \right)}{d^{5}}-\frac{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(e x +d \right)}{d^{5}}+\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)}{6 \left(e x +d \right)^{3} d^{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)}{2 \left(e x +d \right)^{2} d^{3}}+\frac{3 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)}{2 \left(e x +d \right) d^{4}}-\frac{a}{d^{4} x}-\frac{b e \ln \left(c \right)}{3 \left(e x +d \right)^{3} d^{2}}-\frac{4 b e \ln \left(c \right) \ln \left(x \right)}{d^{5}}+\frac{4 b e \ln \left(c \right) \ln \left(e x +d \right)}{d^{5}}-\frac{3 b e \ln \left(c \right)}{\left(e x +d \right) d^{4}}-\frac{b e \ln \left(c \right)}{\left(e x +d \right)^{2} d^{3}}-\frac{b e \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} d^{2}}+\frac{4 b e \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{5}}-\frac{3 b e \ln \left(x^{n}\right)}{\left(e x +d \right) d^{4}}-\frac{4 b e \ln \left(x \right) \ln \left(x^{n}\right)}{d^{5}}-\frac{b e \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} d^{3}}+\frac{b e n}{6 \left(e x +d \right)^{2} d^{3}}+\frac{4 b e n}{3 \left(e x +d \right) d^{4}}+\frac{3 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) d^{4}}+\frac{2 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{d^{5}}-\frac{2 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{d^{5}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{4} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{4} x}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 \left(e x +d \right)^{3} d^{2}}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right)^{2} d^{3}}-\frac{b n}{d^{4} x}-\frac{3 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{4}}-\frac{2 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{d^{5}}+\frac{2 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{d^{5}}-\frac{2 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{d^{5}}+\frac{2 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{d^{5}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} d^{2}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} d^{2}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right)^{2} d^{3}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right)^{2} d^{3}}-\frac{3 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{4}}-\frac{4 b e n \dilog \left(-\frac{e x}{d}\right)}{d^{5}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{4} x}+\frac{13 b e n \ln \left(x \right)}{3 d^{5}}-\frac{13 b e n \ln \left(e x +d \right)}{3 d^{5}}"," ",0,"2*b*n/d^5*e*ln(x)^2-4*b*n/d^5*e*dilog(-1/d*e*x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*e/(e*x+d)^2+2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^5*e*ln(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^3/d^4/x-4*b*n/d^5*e*ln(e*x+d)*ln(-1/d*e*x)-4*a/d^5*e*ln(x)+4*a/d^5*e*ln(e*x+d)-1/3*a*e/d^2/(e*x+d)^3-3*a*e/d^4/(e*x+d)-a/d^3*e/(e*x+d)^2-b*ln(c)/d^4/x-b*ln(x^n)/d^4/x-2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^5*e*ln(x)+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2/(e*x+d)^3-2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^5*e*ln(e*x+d)+3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^4/(e*x+d)-a/d^4/x-1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2/(e*x+d)^3+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4/x+2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^5*e*ln(x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*e/(e*x+d)^2-1/3*b*ln(c)*e/d^2/(e*x+d)^3-4*b*ln(c)/d^5*e*ln(x)+4*b*ln(c)/d^5*e*ln(e*x+d)-3*b*ln(c)*e/d^4/(e*x+d)-b*ln(c)/d^3*e/(e*x+d)^2-3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^4/(e*x+d)-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2/(e*x+d)^3-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*e/(e*x+d)^2-2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^5*e*ln(x)-3/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^4/(e*x+d)+2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^5*e*ln(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^3/d^3*e/(e*x+d)^2-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4/x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4/x-1/3*b*ln(x^n)*e/d^2/(e*x+d)^3+4*b*ln(x^n)/d^5*e*ln(e*x+d)-3*b*ln(x^n)*e/d^4/(e*x+d)-4*b*ln(x^n)/d^5*e*ln(x)-b*ln(x^n)/d^3*e/(e*x+d)^2+2*I*b*Pi*csgn(I*c*x^n)^3/d^5*e*ln(x)+1/6*b*e*n/d^3/(e*x+d)^2+4/3*b*e*n/d^4/(e*x+d)-b*n/d^4/x+1/6*I*b*Pi*csgn(I*c*x^n)^3*e/d^2/(e*x+d)^3-2*I*b*Pi*csgn(I*c*x^n)^3/d^5*e*ln(e*x+d)+3/2*I*b*Pi*csgn(I*c*x^n)^3*e/d^4/(e*x+d)+13/3*b*e*n*ln(x)/d^5-13/3*b*e*n*ln(e*x+d)/d^5","C"
61,1,1324,250,0.214000," ","int((b*ln(c*x^n)+a)/x^3/(e*x+d)^4,x)","\frac{2 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{d^{5} x}+\frac{2 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{d^{5} 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)}{4 d^{4} x^{2}}+\frac{5 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{d^{6}}-\frac{5 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{d^{6}}+\frac{5 i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{d^{6}}-\frac{5 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 +d \right)}{d^{6}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{4}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) d^{5}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) d^{5}}+\frac{10 b \,e^{2} n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{6}}-\frac{b \ln \left(x^{n}\right)}{2 d^{4} x^{2}}-\frac{a}{2 d^{4} x^{2}}+\frac{3 a \,e^{2}}{2 \left(e x +d \right)^{2} d^{4}}+\frac{a \,e^{2}}{3 \left(e x +d \right)^{3} d^{3}}+\frac{10 a \,e^{2} \ln \left(x \right)}{d^{6}}-\frac{10 a \,e^{2} \ln \left(e x +d \right)}{d^{6}}-\frac{b \ln \left(c \right)}{2 d^{4} x^{2}}+\frac{4 a e}{d^{5} x}+\frac{6 a \,e^{2}}{\left(e x +d \right) d^{5}}+\frac{b \,e^{2} \ln \left(c \right)}{3 \left(e x +d \right)^{3} d^{3}}+\frac{10 b \,e^{2} \ln \left(c \right) \ln \left(x \right)}{d^{6}}-\frac{10 b \,e^{2} \ln \left(c \right) \ln \left(e x +d \right)}{d^{6}}+\frac{4 b e \ln \left(c \right)}{d^{5} x}+\frac{6 b \,e^{2} \ln \left(c \right)}{\left(e x +d \right) d^{5}}+\frac{3 b \,e^{2} \ln \left(c \right)}{2 \left(e x +d \right)^{2} d^{4}}-\frac{5 b \,e^{2} n \ln \left(x \right)^{2}}{d^{6}}-\frac{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)}{d^{5} x}+\frac{4 b e n}{d^{5} x}-\frac{b \,e^{2} n}{6 \left(e x +d \right)^{2} d^{4}}-\frac{11 b \,e^{2} n}{6 \left(e x +d \right) d^{5}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d^{4} x^{2}}+\frac{4 b e \ln \left(x^{n}\right)}{d^{5} x}-\frac{10 b \,e^{2} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{6}}+\frac{6 b \,e^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) d^{5}}+\frac{3 b \,e^{2} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} d^{4}}+\frac{b \,e^{2} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} d^{3}}+\frac{10 b \,e^{2} \ln \left(x \right) \ln \left(x^{n}\right)}{d^{6}}+\frac{10 b \,e^{2} n \dilog \left(-\frac{e x}{d}\right)}{d^{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 \left(e x +d \right)^{3} d^{3}}-\frac{3 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)}{4 \left(e x +d \right)^{2} d^{4}}-\frac{3 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)}{\left(e x +d \right) d^{5}}-\frac{5 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(x \right)}{d^{6}}+\frac{5 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 +d \right)}{d^{6}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} d^{3}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} d^{3}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{4}}-\frac{b n}{4 d^{4} x^{2}}-\frac{47 b \,e^{2} n \ln \left(x \right)}{6 d^{6}}+\frac{47 b \,e^{2} n \ln \left(e x +d \right)}{6 d^{6}}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 \left(e x +d \right)^{3} d^{3}}-\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} d^{4}}-\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{\left(e x +d \right) d^{5}}-\frac{5 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{d^{6}}+\frac{5 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{d^{6}}-\frac{2 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{d^{5} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{4} x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{4} x^{2}}"," ",0,"1/4*I*b*Pi*csgn(I*c*x^n)^3/d^4/x^2+10*b*n/d^6*e^2*ln(e*x+d)*ln(-1/d*e*x)-1/2*b*ln(x^n)/d^4/x^2-3/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*e^2/(e*x+d)^2+2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^5*e/x-1/2*a/d^4/x^2+3/2*a/d^4*e^2/(e*x+d)^2+1/3*a*e^2/d^3/(e*x+d)^3+10*a/d^6*e^2*ln(x)-10*a/d^6*e^2*ln(e*x+d)-1/2*b*ln(c)/d^4/x^2+4*a/d^5*e/x+6*a*e^2/d^5/(e*x+d)-5*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^6*e^2*ln(e*x+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4/x^2-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3/(e*x+d)^3-5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^6*e^2*ln(x)-2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^5*e/x+5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^6*e^2*ln(e*x+d)-3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^5/(e*x+d)+3/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*e^2/(e*x+d)^2+3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^5/(e*x+d)+3/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*e^2/(e*x+d)^2+5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^6*e^2*ln(x)+1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3/(e*x+d)^3+2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^5*e/x+5*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^6*e^2*ln(x)-5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^6*e^2*ln(e*x+d)+3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^5/(e*x+d)+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3/(e*x+d)^3+1/3*b*ln(c)*e^2/d^3/(e*x+d)^3+10*b*ln(c)/d^6*e^2*ln(x)-10*b*ln(c)/d^6*e^2*ln(e*x+d)+4*b*ln(c)/d^5*e/x+6*b*ln(c)*e^2/d^5/(e*x+d)+3/2*b*ln(c)/d^4*e^2/(e*x+d)^2-5*b*n/d^6*e^2*ln(x)^2+10*b*n/d^6*e^2*dilog(-1/d*e*x)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4/x^2-5*I*b*Pi*csgn(I*c*x^n)^3/d^6*e^2*ln(x)+4*b*e*n/d^5/x-1/6*b*e^2*n/d^4/(e*x+d)^2-11/6*b*e^2*n/d^5/(e*x+d)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4/x^2-3*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^5/(e*x+d)-3/4*I*b*Pi*csgn(I*c*x^n)^3/d^4*e^2/(e*x+d)^2-1/6*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3/(e*x+d)^3+4*b*ln(x^n)/d^5*e/x-10*b*ln(x^n)/d^6*e^2*ln(e*x+d)+6*b*ln(x^n)*e^2/d^5/(e*x+d)+3/2*b*ln(x^n)/d^4*e^2/(e*x+d)^2+1/3*b*ln(x^n)*e^2/d^3/(e*x+d)^3+10*b*ln(x^n)/d^6*e^2*ln(x)-2*I*b*Pi*csgn(I*c*x^n)^3/d^5*e/x+5*I*b*Pi*csgn(I*c*x^n)^3/d^6*e^2*ln(e*x+d)-1/4*b*n/d^4/x^2-47/6*b*e^2*n*ln(x)/d^6+47/6*b*e^2*n*ln(e*x+d)/d^6","C"
62,1,1768,311,0.242000," ","int(x^8*(b*ln(c*x^n)+a)/(e*x+d)^7,x)","\frac{28 b \,d^{2} \ln \left(c \right) \ln \left(e x +d \right)}{e^{9}}-\frac{7 b d x \ln \left(c \right)}{e^{8}}-\frac{35 b \,d^{4} \ln \left(c \right)}{\left(e x +d \right)^{2} e^{9}}-\frac{b \,d^{8} \ln \left(c \right)}{6 \left(e x +d \right)^{6} e^{9}}+\frac{56 b \,d^{3} \ln \left(c \right)}{\left(e x +d \right) e^{9}}-\frac{7 b \,d^{6} \ln \left(c \right)}{\left(e x +d \right)^{4} e^{9}}+\frac{8 b \,d^{7} \ln \left(c \right)}{5 \left(e x +d \right)^{5} e^{9}}+\frac{56 b \,d^{5} \ln \left(c \right)}{3 \left(e x +d \right)^{3} e^{9}}-\frac{131 b \,d^{4} n}{20 \left(e x +d \right)^{2} e^{9}}+\frac{167 b \,d^{5} n}{90 \left(e x +d \right)^{3} e^{9}}-\frac{43 b \,d^{6} n}{120 \left(e x +d \right)^{4} e^{9}}+\frac{b \,d^{7} n}{30 \left(e x +d \right)^{5} e^{9}}-\frac{341 b \,d^{2} n \ln \left(e x \right)}{10 e^{9}}+\frac{341 b \,d^{2} n \ln \left(e x +d \right)}{10 e^{9}}+\frac{219 b \,d^{3} n}{10 \left(e x +d \right) e^{9}}+\frac{56 a \,d^{3}}{\left(e x +d \right) e^{9}}-\frac{7 a \,d^{6}}{\left(e x +d \right)^{4} e^{9}}+\frac{8 a \,d^{7}}{5 \left(e x +d \right)^{5} e^{9}}+\frac{56 a \,d^{5}}{3 \left(e x +d \right)^{3} e^{9}}+\frac{28 a \,d^{2} \ln \left(e x +d \right)}{e^{9}}-\frac{7 a d x}{e^{8}}-\frac{35 a \,d^{4}}{\left(e x +d \right)^{2} e^{9}}-\frac{a \,d^{8}}{6 \left(e x +d \right)^{6} e^{9}}+\frac{b \,x^{2} \ln \left(c \right)}{2 e^{7}}+\frac{b \,x^{2} \ln \left(x^{n}\right)}{2 e^{7}}+\frac{29 b \,d^{2} n}{4 e^{9}}-\frac{28 b \,d^{2} n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{9}}+\frac{a \,x^{2}}{2 e^{7}}+\frac{28 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) e^{9}}+\frac{14 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{e^{9}}+\frac{14 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{e^{9}}-\frac{7 i \pi  b d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{8}}-\frac{7 i \pi  b d x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{8}}+\frac{8 b \,d^{7} \ln \left(x^{n}\right)}{5 \left(e x +d \right)^{5} e^{9}}+\frac{28 b \,d^{2} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{9}}+\frac{56 b \,d^{5} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{9}}-\frac{7 b d x \ln \left(x^{n}\right)}{e^{8}}-\frac{35 b \,d^{4} \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} e^{9}}-\frac{b \,d^{8} \ln \left(x^{n}\right)}{6 \left(e x +d \right)^{6} e^{9}}+\frac{56 b \,d^{3} \ln \left(x^{n}\right)}{\left(e x +d \right) e^{9}}-\frac{7 b \,d^{6} \ln \left(x^{n}\right)}{\left(e x +d \right)^{4} e^{9}}+\frac{7 b d n x}{e^{8}}-\frac{28 b \,d^{2} n \dilog \left(-\frac{e x}{d}\right)}{e^{9}}-\frac{b n \,x^{2}}{4 e^{7}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 e^{7}}-\frac{7 i \pi  b \,d^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right)^{4} e^{9}}+\frac{28 i \pi  b \,d^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3 \left(e x +d \right)^{3} e^{9}}+\frac{28 i \pi  b \,d^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3 \left(e x +d \right)^{3} e^{9}}-\frac{35 i \pi  b \,d^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right)^{2} e^{9}}-\frac{35 i \pi  b \,d^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right)^{2} e^{9}}-\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 e^{7}}+\frac{28 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) e^{9}}-\frac{i \pi  b \,d^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 \left(e x +d \right)^{6} e^{9}}-\frac{i \pi  b \,d^{8} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 \left(e x +d \right)^{6} e^{9}}+\frac{4 i \pi  b \,d^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{5 \left(e x +d \right)^{5} e^{9}}+\frac{4 i \pi  b \,d^{7} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{5 \left(e x +d \right)^{5} e^{9}}-\frac{7 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right)^{4} e^{9}}+\frac{i \pi  b \,d^{8} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12 \left(e x +d \right)^{6} e^{9}}-\frac{4 i \pi  b \,d^{7} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{5 \left(e x +d \right)^{5} e^{9}}+\frac{7 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right)^{4} e^{9}}-\frac{28 i \pi  b \,d^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{3 \left(e x +d \right)^{3} e^{9}}+\frac{35 i \pi  b \,d^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right)^{2} e^{9}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e^{7}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e^{7}}-\frac{28 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{\left(e x +d \right) e^{9}}-\frac{14 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{e^{9}}+\frac{7 i \pi  b d x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 e^{8}}-\frac{28 i \pi  b \,d^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{3 \left(e x +d \right)^{3} e^{9}}+\frac{35 i \pi  b \,d^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \left(e x +d \right)^{2} e^{9}}-\frac{28 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{\left(e x +d \right) e^{9}}-\frac{14 i \pi  b \,d^{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 +d \right)}{e^{9}}+\frac{7 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 e^{8}}+\frac{i \pi  b \,d^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{12 \left(e x +d \right)^{6} e^{9}}-\frac{4 i \pi  b \,d^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{5 \left(e x +d \right)^{5} e^{9}}+\frac{7 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \left(e x +d \right)^{4} e^{9}}"," ",0,"14*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^9*d^2*ln(e*x+d)+28*b*ln(c)/e^9*d^2*ln(e*x+d)-7*b*ln(c)/e^8*x*d-35*b*ln(c)/e^9*d^4/(e*x+d)^2-1/6*b*ln(c)*d^8/e^9/(e*x+d)^6+56*b*ln(c)/e^9*d^3/(e*x+d)-7*b*ln(c)/e^9*d^6/(e*x+d)^4+8/5*b*ln(c)/e^9*d^7/(e*x+d)^5+56/3*b*ln(c)/e^9*d^5/(e*x+d)^3-131/20*b*n/e^9*d^4/(e*x+d)^2+167/90*b*n/e^9*d^5/(e*x+d)^3-43/120*b*n/e^9*d^6/(e*x+d)^4+1/30*b*n/e^9*d^7/(e*x+d)^5-28*b*n/e^9*d^2*dilog(-1/d*e*x)-341/10*b*n/e^9*d^2*ln(e*x)+341/10*b*n/e^9*d^2*ln(e*x+d)+219/10*b*n/e^9*d^3/(e*x+d)-1/4*I*b*Pi*csgn(I*c*x^n)^3/e^7*x^2+28/3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^9*d^5/(e*x+d)^3-1/12*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^8/e^9/(e*x+d)^6+56*a/e^9*d^3/(e*x+d)-7*a/e^9*d^6/(e*x+d)^4+8/5*a/e^9*d^7/(e*x+d)^5+56/3*a/e^9*d^5/(e*x+d)^3+28*a/e^9*d^2*ln(e*x+d)-7*a/e^8*x*d-35*a/e^9*d^4/(e*x+d)^2-1/6*a*d^8/e^9/(e*x+d)^6+1/2*b*ln(c)/e^7*x^2+1/2*b*ln(x^n)/e^7*x^2+29/4*b*n/e^9*d^2-28*b*n/e^9*d^2*ln(e*x+d)*ln(-1/d*e*x)-28*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^9*d^3/(e*x+d)+7/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^9*d^6/(e*x+d)^4+1/2*a/e^7*x^2+28*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^9*d^3/(e*x+d)-7/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^8*x*d+8/5*b*ln(x^n)/e^9*d^7/(e*x+d)^5+28*b*ln(x^n)/e^9*d^2*ln(e*x+d)+56/3*b*ln(x^n)/e^9*d^5/(e*x+d)^3-7*b*ln(x^n)/e^8*x*d-35*b*ln(x^n)/e^9*d^4/(e*x+d)^2-1/6*b*ln(x^n)*d^8/e^9/(e*x+d)^6+56*b*ln(x^n)/e^9*d^3/(e*x+d)-7*b*ln(x^n)/e^9*d^6/(e*x+d)^4-4/5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^9*d^7/(e*x+d)^5-14*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^9*d^2*ln(e*x+d)-28/3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^9*d^5/(e*x+d)^3+28*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^9*d^3/(e*x+d)-28/3*I*b*Pi*csgn(I*c*x^n)^3/e^9*d^5/(e*x+d)^3+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^7*x^2+7*b*d*n*x/e^8+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^7*x^2-14*I*b*Pi*csgn(I*c*x^n)^3/e^9*d^2*ln(e*x+d)-4/5*I*b*Pi*csgn(I*c*x^n)^3/e^9*d^7/(e*x+d)^5-28*I*b*Pi*csgn(I*c*x^n)^3/e^9*d^3/(e*x+d)+7/2*I*b*Pi*csgn(I*c*x^n)^3/e^9*d^6/(e*x+d)^4+35/2*I*b*Pi*csgn(I*c*x^n)^3/e^9*d^4/(e*x+d)^2+1/12*I*b*Pi*csgn(I*c*x^n)^3*d^8/e^9/(e*x+d)^6+1/12*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^8/e^9/(e*x+d)^6+35/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^9*d^4/(e*x+d)^2+7/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^8*x*d-1/12*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^8/e^9/(e*x+d)^6+4/5*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^9*d^7/(e*x+d)^5-7/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^9*d^6/(e*x+d)^4+7/2*I*b*Pi*csgn(I*c*x^n)^3/e^8*x*d-35/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^9*d^4/(e*x+d)^2+14*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^9*d^2*ln(e*x+d)+4/5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^9*d^7/(e*x+d)^5-7/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^9*d^6/(e*x+d)^4-35/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^9*d^4/(e*x+d)^2-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^7*x^2-7/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^8*x*d+28/3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^9*d^5/(e*x+d)^3-1/4*b*n*x^2/e^7","C"
63,1,1584,269,0.237000," ","int(x^7*(b*ln(c*x^n)+a)/(e*x+d)^7,x)","-\frac{35 b \,d^{4} \ln \left(c \right)}{3 \left(e x +d \right)^{3} e^{8}}-\frac{7 b d \ln \left(c \right) \ln \left(e x +d \right)}{e^{8}}+\frac{35 b \,d^{3} \ln \left(c \right)}{2 \left(e x +d \right)^{2} e^{8}}+\frac{b \,d^{7} \ln \left(c \right)}{6 \left(e x +d \right)^{6} e^{8}}+\frac{21 b \,d^{5} \ln \left(c \right)}{4 \left(e x +d \right)^{4} e^{8}}-\frac{7 b \,d^{6} \ln \left(c \right)}{5 \left(e x +d \right)^{5} e^{8}}-\frac{21 b \,d^{2} \ln \left(c \right)}{\left(e x +d \right) e^{8}}+\frac{223 b d n \ln \left(e x \right)}{20 e^{8}}-\frac{223 b d n \ln \left(e x +d \right)}{20 e^{8}}-\frac{197 b \,d^{2} n}{20 \left(e x +d \right) e^{8}}+\frac{153 b \,d^{3} n}{40 \left(e x +d \right)^{2} e^{8}}-\frac{241 b \,d^{4} n}{180 \left(e x +d \right)^{3} e^{8}}+\frac{37 b \,d^{5} n}{120 \left(e x +d \right)^{4} e^{8}}-\frac{b \,d^{6} n}{30 \left(e x +d \right)^{5} e^{8}}+\frac{a \,d^{7}}{6 \left(e x +d \right)^{6} e^{8}}+\frac{21 a \,d^{5}}{4 \left(e x +d \right)^{4} e^{8}}-\frac{7 a \,d^{6}}{5 \left(e x +d \right)^{5} e^{8}}-\frac{21 a \,d^{2}}{\left(e x +d \right) e^{8}}-\frac{35 a \,d^{4}}{3 \left(e x +d \right)^{3} e^{8}}-\frac{7 a d \ln \left(e x +d \right)}{e^{8}}+\frac{35 a \,d^{3}}{2 \left(e x +d \right)^{2} e^{8}}+\frac{b x \ln \left(c \right)}{e^{7}}-\frac{b d n}{e^{8}}+\frac{7 b d n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{8}}+\frac{a x}{e^{7}}+\frac{b x \ln \left(x^{n}\right)}{e^{7}}-\frac{7 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{8}}-\frac{7 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{8}}-\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 e^{7}}+\frac{21 b \,d^{5} \ln \left(x^{n}\right)}{4 \left(e x +d \right)^{4} e^{8}}-\frac{7 b \,d^{6} \ln \left(x^{n}\right)}{5 \left(e x +d \right)^{5} e^{8}}-\frac{21 b \,d^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) e^{8}}-\frac{7 b d \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{8}}-\frac{35 b \,d^{4} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{8}}+\frac{b \,d^{7} \ln \left(x^{n}\right)}{6 \left(e x +d \right)^{6} e^{8}}+\frac{35 b \,d^{3} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{8}}-\frac{i \pi  b \,d^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{12 \left(e x +d \right)^{6} e^{8}}+\frac{7 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{10 \left(e x +d \right)^{5} e^{8}}-\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 e^{7}}+\frac{7 b d n \dilog \left(-\frac{e x}{d}\right)}{e^{8}}-\frac{21 i \pi  b \,d^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{8 \left(e x +d \right)^{4} e^{8}}+\frac{35 i \pi  b \,d^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6 \left(e x +d \right)^{3} e^{8}}-\frac{35 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \left(e x +d \right)^{2} e^{8}}+\frac{21 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \left(e x +d \right) e^{8}}-\frac{b n x}{e^{7}}-\frac{35 i \pi  b \,d^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} e^{8}}+\frac{35 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} e^{8}}+\frac{35 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} e^{8}}-\frac{21 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{8}}-\frac{21 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{8}}-\frac{7 i \pi  b \,d^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10 \left(e x +d \right)^{5} e^{8}}+\frac{21 i \pi  b \,d^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e x +d \right)^{4} e^{8}}+\frac{21 i \pi  b \,d^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e x +d \right)^{4} e^{8}}-\frac{35 i \pi  b \,d^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} e^{8}}+\frac{i \pi  b \,d^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 \left(e x +d \right)^{6} e^{8}}+\frac{i \pi  b \,d^{7} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 \left(e x +d \right)^{6} e^{8}}-\frac{7 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10 \left(e x +d \right)^{5} e^{8}}+\frac{7 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(e x +d \right)}{2 e^{8}}+\frac{7 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 e^{8}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{7}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{7}}-\frac{i \pi  b \,d^{7} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12 \left(e x +d \right)^{6} e^{8}}+\frac{7 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10 \left(e x +d \right)^{5} e^{8}}-\frac{21 i \pi  b \,d^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 \left(e x +d \right)^{4} e^{8}}+\frac{35 i \pi  b \,d^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 \left(e x +d \right)^{3} e^{8}}-\frac{35 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} e^{8}}+\frac{21 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) e^{8}}"," ",0,"-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^7*x-35/3*b*ln(c)/e^8*d^4/(e*x+d)^3-7*b*ln(c)/e^8*d*ln(e*x+d)+35/2*b*ln(c)/e^8*d^3/(e*x+d)^2+1/6*b*ln(c)*d^7/e^8/(e*x+d)^6+21/4*b*ln(c)/e^8*d^5/(e*x+d)^4-7/5*b*ln(c)/e^8*d^6/(e*x+d)^5-21*b*ln(c)/e^8*d^2/(e*x+d)+223/20*b*n/e^8*d*ln(e*x)-223/20*b*n/e^8*d*ln(e*x+d)-197/20*b*n/e^8*d^2/(e*x+d)+153/40*b*n/e^8*d^3/(e*x+d)^2-241/180*b*n/e^8*d^4/(e*x+d)^3+37/120*b*n/e^8*d^5/(e*x+d)^4-1/30*b*n/e^8*d^6/(e*x+d)^5+7*b*n/e^8*d*dilog(-1/d*e*x)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^7*x-21/8*I*b*Pi*csgn(I*c*x^n)^3/e^8*d^5/(e*x+d)^4-1/2*I*b*Pi*csgn(I*c*x^n)^3/e^7*x+35/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^8*d^3/(e*x+d)^2+1/6*a*d^7/e^8/(e*x+d)^6+21/4*a/e^8*d^5/(e*x+d)^4-7/5*a/e^8*d^6/(e*x+d)^5-21*a/e^8*d^2/(e*x+d)-35/3*a/e^8*d^4/(e*x+d)^3-7*a/e^8*d*ln(e*x+d)+35/2*a/e^8*d^3/(e*x+d)^2+b*ln(c)/e^7*x-b*n/e^8*d-21/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^8*d^5/(e*x+d)^4+7/10*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^8*d^6/(e*x+d)^5+35/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^8*d^4/(e*x+d)^3+7*b*n/e^8*d*ln(e*x+d)*ln(-1/d*e*x)-1/12*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^7/e^8/(e*x+d)^6+a/e^7*x+b*ln(x^n)/e^7*x+21/4*b*ln(x^n)/e^8*d^5/(e*x+d)^4-7/5*b*ln(x^n)/e^8*d^6/(e*x+d)^5-21*b*ln(x^n)/e^8*d^2/(e*x+d)-7*b*ln(x^n)/e^8*d*ln(e*x+d)-35/3*b*ln(x^n)/e^8*d^4/(e*x+d)^3+1/6*b*ln(x^n)*d^7/e^8/(e*x+d)^6+35/2*b*ln(x^n)/e^8*d^3/(e*x+d)^2-21/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^8*d^2/(e*x+d)+35/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^8*d^3/(e*x+d)^2+21/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^8*d^5/(e*x+d)^4-7/10*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^8*d^6/(e*x+d)^5+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^7*x+35/6*I*b*Pi*csgn(I*c*x^n)^3/e^8*d^4/(e*x+d)^3+21/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^8*d^2/(e*x+d)-35/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^8*d^3/(e*x+d)^2+7/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^8*d*ln(e*x+d)-35/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^8*d^4/(e*x+d)^3+1/12*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^7/e^8/(e*x+d)^6-7/10*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^8*d^6/(e*x+d)^5-1/12*I*b*Pi*csgn(I*c*x^n)^3*d^7/e^8/(e*x+d)^6+7/10*I*b*Pi*csgn(I*c*x^n)^3/e^8*d^6/(e*x+d)^5-35/4*I*b*Pi*csgn(I*c*x^n)^3/e^8*d^3/(e*x+d)^2+21/2*I*b*Pi*csgn(I*c*x^n)^3/e^8*d^2/(e*x+d)+7/2*I*b*Pi*csgn(I*c*x^n)^3/e^8*d*ln(e*x+d)+1/12*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^7/e^8/(e*x+d)^6-7/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^8*d*ln(e*x+d)-21/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^8*d^2/(e*x+d)-7/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^8*d*ln(e*x+d)-35/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^8*d^4/(e*x+d)^3+21/8*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^8*d^5/(e*x+d)^4-b*n*x/e^7","C"
64,1,1416,229,0.202000," ","int(x^6*(b*ln(c*x^n)+a)/(e*x+d)^7,x)","\frac{6 b \,d^{5} \ln \left(c \right)}{5 \left(e x +d \right)^{5} e^{7}}+\frac{6 b d \ln \left(c \right)}{\left(e x +d \right) e^{7}}-\frac{15 b \,d^{2} \ln \left(c \right)}{2 \left(e x +d \right)^{2} e^{7}}-\frac{b \,d^{6} \ln \left(c \right)}{6 \left(e x +d \right)^{6} e^{7}}-\frac{15 b \,d^{4} \ln \left(c \right)}{4 \left(e x +d \right)^{4} e^{7}}+\frac{20 b \,d^{3} \ln \left(c \right)}{3 \left(e x +d \right)^{3} e^{7}}+\frac{71 b d n}{20 \left(e x +d \right) e^{7}}-\frac{79 b \,d^{2} n}{40 \left(e x +d \right)^{2} e^{7}}+\frac{163 b \,d^{3} n}{180 \left(e x +d \right)^{3} e^{7}}-\frac{31 b \,d^{4} n}{120 \left(e x +d \right)^{4} e^{7}}+\frac{b \,d^{5} n}{30 \left(e x +d \right)^{5} e^{7}}-\frac{b n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e^{7}}+\frac{b \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e^{7}}+\frac{a \ln \left(e x +d \right)}{e^{7}}+\frac{6 a d}{\left(e x +d \right) e^{7}}-\frac{15 a \,d^{4}}{4 \left(e x +d \right)^{4} e^{7}}+\frac{20 a \,d^{3}}{3 \left(e x +d \right)^{3} e^{7}}-\frac{a \,d^{6}}{6 \left(e x +d \right)^{6} e^{7}}+\frac{6 a \,d^{5}}{5 \left(e x +d \right)^{5} e^{7}}-\frac{15 a \,d^{2}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{b \ln \left(c \right) \ln \left(e x +d \right)}{e^{7}}-\frac{49 b n \ln \left(e x \right)}{20 e^{7}}+\frac{49 b n \ln \left(e x +d \right)}{20 e^{7}}-\frac{b n \dilog \left(-\frac{e x}{d}\right)}{e^{7}}+\frac{6 b d \ln \left(x^{n}\right)}{\left(e x +d \right) e^{7}}-\frac{15 b \,d^{4} \ln \left(x^{n}\right)}{4 \left(e x +d \right)^{4} e^{7}}+\frac{20 b \,d^{3} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{7}}-\frac{15 b \,d^{2} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{7}}-\frac{b \,d^{6} \ln \left(x^{n}\right)}{6 \left(e x +d \right)^{6} e^{7}}+\frac{6 b \,d^{5} \ln \left(x^{n}\right)}{5 \left(e x +d \right)^{5} e^{7}}+\frac{i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{12 \left(e x +d \right)^{6} e^{7}}-\frac{3 i \pi  b \,d^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{5 \left(e x +d \right)^{5} e^{7}}+\frac{15 i \pi  b \,d^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{8 \left(e x +d \right)^{4} e^{7}}-\frac{10 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{3 \left(e x +d \right)^{3} e^{7}}+\frac{15 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \left(e x +d \right)^{2} e^{7}}-\frac{3 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)}{\left(e x +d \right) e^{7}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 e^{7}}+\frac{i \pi  b \,d^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12 \left(e x +d \right)^{6} e^{7}}-\frac{3 i \pi  b \,d^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{5 \left(e x +d \right)^{5} e^{7}}+\frac{15 i \pi  b \,d^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 \left(e x +d \right)^{4} e^{7}}-\frac{10 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{3 \left(e x +d \right)^{3} e^{7}}+\frac{10 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3 \left(e x +d \right)^{3} e^{7}}+\frac{10 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3 \left(e x +d \right)^{3} e^{7}}-\frac{15 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} e^{7}}-\frac{15 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} e^{7}}+\frac{3 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) e^{7}}+\frac{3 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) e^{7}}-\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 +d \right)}{2 e^{7}}-\frac{i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 \left(e x +d \right)^{6} e^{7}}-\frac{i \pi  b \,d^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 \left(e x +d \right)^{6} e^{7}}+\frac{3 i \pi  b \,d^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{5 \left(e x +d \right)^{5} e^{7}}+\frac{3 i \pi  b \,d^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{5 \left(e x +d \right)^{5} e^{7}}-\frac{15 i \pi  b \,d^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e x +d \right)^{4} e^{7}}-\frac{15 i \pi  b \,d^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e x +d \right)^{4} e^{7}}+\frac{15 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} e^{7}}-\frac{3 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{\left(e x +d \right) e^{7}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{7}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 e^{7}}"," ",0,"-1/12*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^6/e^7/(e*x+d)^6+6/5*b*ln(c)*d^5/e^7/(e*x+d)^5+6*b*ln(c)*d/e^7/(e*x+d)-15/2*b*ln(c)*d^2/e^7/(e*x+d)^2-1/6*b*ln(c)*d^6/e^7/(e*x+d)^6-15/4*b*ln(c)*d^4/e^7/(e*x+d)^4+20/3*b*ln(c)*d^3/e^7/(e*x+d)^3-3*I*b*Pi*csgn(I*c*x^n)^3*d/e^7/(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^7*ln(e*x+d)+71/20*b*n*d/e^7/(e*x+d)-79/40*b*n*d^2/e^7/(e*x+d)^2+163/180*b*n*d^3/e^7/(e*x+d)^3-31/120*b*n*d^4/e^7/(e*x+d)^4+1/30*b*n*d^5/e^7/(e*x+d)^5-b*n/e^7*ln(e*x+d)*ln(-1/d*e*x)-1/2*I*b*Pi*csgn(I*c*x^n)^3/e^7*ln(e*x+d)+3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d/e^7/(e*x+d)-15/8*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^4/e^7/(e*x+d)^4+b*ln(x^n)/e^7*ln(e*x+d)+a/e^7*ln(e*x+d)+6*a*d/e^7/(e*x+d)-15/4*a*d^4/e^7/(e*x+d)^4+20/3*a*d^3/e^7/(e*x+d)^3-1/6*a*d^6/e^7/(e*x+d)^6+6/5*a*d^5/e^7/(e*x+d)^5-15/2*a*d^2/e^7/(e*x+d)^2+b*ln(c)/e^7*ln(e*x+d)-15/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^2/e^7/(e*x+d)^2+15/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^2/e^7/(e*x+d)^2+15/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^4/e^7/(e*x+d)^4-15/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^2/e^7/(e*x+d)^2-49/20*b*n/e^7*ln(e*x)+49/20*b*n/e^7*ln(e*x+d)-b*n/e^7*dilog(-1/d*e*x)-1/12*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^6/e^7/(e*x+d)^6+6*b*ln(x^n)*d/e^7/(e*x+d)-15/4*b*ln(x^n)*d^4/e^7/(e*x+d)^4+20/3*b*ln(x^n)*d^3/e^7/(e*x+d)^3-15/2*b*ln(x^n)*d^2/e^7/(e*x+d)^2-1/6*b*ln(x^n)*d^6/e^7/(e*x+d)^6+6/5*b*ln(x^n)*d^5/e^7/(e*x+d)^5-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^7*ln(e*x+d)+10/3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^3/e^7/(e*x+d)^3+3/5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^5/e^7/(e*x+d)^5+3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d/e^7/(e*x+d)+3/5*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^5/e^7/(e*x+d)^5+15/4*I*b*Pi*csgn(I*c*x^n)^3*d^2/e^7/(e*x+d)^2+1/12*I*b*Pi*csgn(I*c*x^n)^3*d^6/e^7/(e*x+d)^6-3/5*I*b*Pi*csgn(I*c*x^n)^3*d^5/e^7/(e*x+d)^5-3/5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^5/e^7/(e*x+d)^5-3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d/e^7/(e*x+d)-10/3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^3/e^7/(e*x+d)^3+1/12*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^6/e^7/(e*x+d)^6+10/3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^3/e^7/(e*x+d)^3+15/8*I*b*Pi*csgn(I*c*x^n)^3*d^4/e^7/(e*x+d)^4-15/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^4/e^7/(e*x+d)^4-10/3*I*b*Pi*csgn(I*c*x^n)^3*d^3/e^7/(e*x+d)^3+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^7*ln(e*x+d)","C"
65,1,1165,122,0.285000," ","int(x^5*(b*ln(c*x^n)+a)/(e*x+d)^7,x)","-\frac{\left(6 x^{5} e^{5}+15 d \,x^{4} e^{4}+20 d^{2} x^{3} e^{3}+15 d^{3} x^{2} e^{2}+6 d^{4} x e +d^{5}\right) b \ln \left(x^{n}\right)}{6 \left(e x +d \right)^{6} e^{6}}+\frac{30 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-300 b d \,e^{5} n \,x^{5}-1200 b \,d^{2} e^{4} n \,x^{4}-2000 b \,d^{3} e^{3} n \,x^{3}-1725 b \,d^{4} e^{2} n \,x^{2}-762 b \,d^{5} e n x -60 b \,d^{6} n \ln \left(e x +d \right)+60 b \,d^{6} n \ln \left(-x \right)-360 a d \,e^{5} x^{5}-900 a \,d^{2} e^{4} x^{4}-1200 a \,d^{3} e^{3} x^{3}-900 a \,d^{4} e^{2} x^{2}-360 a \,d^{5} e x -60 a \,d^{6}-60 b \,d^{6} \ln \left(c \right)-137 b \,d^{6} n -180 i \pi  b d \,e^{5} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+180 i \pi  b d \,e^{5} x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+450 i \pi  b \,d^{2} e^{4} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+600 i \pi  b \,d^{3} e^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-60 b \,e^{6} n \,x^{6} \ln \left(e x +d \right)+60 b \,e^{6} n \,x^{6} \ln \left(-x \right)+450 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+180 i \pi  b \,d^{5} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-180 i \pi  b d \,e^{5} x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-450 i \pi  b \,d^{2} e^{4} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-450 i \pi  b \,d^{2} e^{4} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-600 i \pi  b \,d^{3} e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-600 i \pi  b \,d^{3} e^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-450 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-450 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-180 i \pi  b \,d^{5} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-180 i \pi  b \,d^{5} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+180 i \pi  b d \,e^{5} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+450 i \pi  b \,d^{2} e^{4} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+600 i \pi  b \,d^{3} e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-900 b \,d^{4} e^{2} x^{2} \ln \left(c \right)-360 b \,d^{5} e x \ln \left(c \right)-360 b d \,e^{5} x^{5} \ln \left(c \right)-900 b \,d^{2} e^{4} x^{4} \ln \left(c \right)-1200 b \,d^{3} e^{3} x^{3} \ln \left(c \right)+450 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+180 i \pi  b \,d^{5} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+30 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-360 b d \,e^{5} n \,x^{5} \ln \left(e x +d \right)-900 b \,d^{2} e^{4} n \,x^{4} \ln \left(e x +d \right)-1200 b \,d^{3} e^{3} n \,x^{3} \ln \left(e x +d \right)-900 b \,d^{4} e^{2} n \,x^{2} \ln \left(e x +d \right)-360 b \,d^{5} e n x \ln \left(e x +d \right)+360 b d \,e^{5} n \,x^{5} \ln \left(-x \right)+900 b \,d^{2} e^{4} n \,x^{4} \ln \left(-x \right)+1200 b \,d^{3} e^{3} n \,x^{3} \ln \left(-x \right)+900 b \,d^{4} e^{2} n \,x^{2} \ln \left(-x \right)+360 b \,d^{5} e n x \ln \left(-x \right)-30 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-30 i \pi  b \,d^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{360 \left(e x +d \right)^{6} d \,e^{6}}"," ",0,"-1/6*b*(6*e^5*x^5+15*d*e^4*x^4+20*d^2*e^3*x^3+15*d^3*e^2*x^2+6*d^4*e*x+d^5)/(e*x+d)^6/e^6*ln(x^n)+1/360*(-300*b*d*e^5*n*x^5-1200*b*d^2*e^4*n*x^4-2000*b*d^3*e^3*n*x^3-1725*b*d^4*e^2*n*x^2-762*b*d^5*e*n*x-60*ln(e*x+d)*b*d^6*n+60*ln(-x)*b*d^6*n-360*a*d*e^5*x^5-900*a*d^2*e^4*x^4-1200*a*d^3*e^3*x^3-900*a*d^4*e^2*x^2-360*a*d^5*e*x-60*a*d^6-60*ln(c)*b*d^6-137*b*d^6*n+450*I*Pi*b*d^4*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+180*I*Pi*b*d^5*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+600*I*Pi*b*d^3*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-600*I*Pi*b*d^3*e^3*x^3*csgn(I*c*x^n)^2*csgn(I*c)-450*I*Pi*b*d^4*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-450*I*Pi*b*d^4*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-180*I*Pi*b*d^5*e*x*csgn(I*c*x^n)^2*csgn(I*c)-60*ln(e*x+d)*b*e^6*n*x^6+60*ln(-x)*b*e^6*n*x^6-180*I*Pi*b*d^5*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+180*I*Pi*b*d*e^5*x^5*csgn(I*c*x^n)^3+450*I*Pi*b*d^2*e^4*x^4*csgn(I*c*x^n)^3+600*I*Pi*b*d^3*e^3*x^3*csgn(I*c*x^n)^3-180*I*Pi*b*d*e^5*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2-180*I*Pi*b*d*e^5*x^5*csgn(I*c*x^n)^2*csgn(I*c)-450*I*Pi*b*d^2*e^4*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-450*I*Pi*b*d^2*e^4*x^4*csgn(I*c*x^n)^2*csgn(I*c)-600*I*Pi*b*d^3*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+30*I*Pi*b*d^6*csgn(I*c*x^n)^3-900*ln(c)*b*d^4*e^2*x^2-360*ln(c)*b*d^5*e*x-360*ln(c)*b*d*e^5*x^5-900*ln(c)*b*d^2*e^4*x^4-1200*ln(c)*b*d^3*e^3*x^3+180*I*Pi*b*d*e^5*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+450*I*Pi*b*d^2*e^4*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-30*I*Pi*b*d^6*csgn(I*x^n)*csgn(I*c*x^n)^2-30*I*Pi*b*d^6*csgn(I*c*x^n)^2*csgn(I*c)-360*ln(e*x+d)*b*d*e^5*n*x^5-900*ln(e*x+d)*b*d^2*e^4*n*x^4-1200*ln(e*x+d)*b*d^3*e^3*n*x^3-900*ln(e*x+d)*b*d^4*e^2*n*x^2-360*ln(e*x+d)*b*d^5*e*n*x+360*ln(-x)*b*d*e^5*n*x^5+900*ln(-x)*b*d^2*e^4*n*x^4+1200*ln(-x)*b*d^3*e^3*n*x^3+900*ln(-x)*b*d^4*e^2*n*x^2+360*ln(-x)*b*d^5*e*n*x+450*I*Pi*b*d^4*e^2*x^2*csgn(I*c*x^n)^3+180*I*Pi*b*d^5*e*x*csgn(I*c*x^n)^3+30*I*Pi*b*d^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))/d/e^6/(e*x+d)^6","C"
66,1,1022,147,0.270000," ","int(x^4*(b*ln(c*x^n)+a)/(e*x+d)^7,x)","-\frac{\left(15 x^{4} e^{4}+20 d \,x^{3} e^{3}+15 d^{2} x^{2} e^{2}+6 d^{3} x e +d^{4}\right) b \ln \left(x^{n}\right)}{30 \left(e x +d \right)^{6} e^{5}}-\frac{-6 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-12 b d \,e^{5} n \,x^{5}+24 b \,d^{2} e^{4} n \,x^{4}+112 b \,d^{3} e^{3} n \,x^{3}+129 b \,d^{4} e^{2} n \,x^{2}+66 b \,d^{5} e n x +12 b \,d^{6} n \ln \left(e x +d \right)-12 b \,d^{6} n \ln \left(-x \right)+180 a \,d^{2} e^{4} x^{4}+240 a \,d^{3} e^{3} x^{3}+180 a \,d^{4} e^{2} x^{2}+72 a \,d^{5} e x +12 a \,d^{6}+12 b \,d^{6} \ln \left(c \right)+13 b \,d^{6} n -90 i \pi  b \,d^{2} e^{4} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-120 i \pi  b \,d^{3} e^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+12 b \,e^{6} n \,x^{6} \ln \left(e x +d \right)-12 b \,e^{6} n \,x^{6} \ln \left(-x \right)-90 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-36 i \pi  b \,d^{5} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+90 i \pi  b \,d^{2} e^{4} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+90 i \pi  b \,d^{2} e^{4} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+120 i \pi  b \,d^{3} e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+120 i \pi  b \,d^{3} e^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+90 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+90 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  b \,d^{5} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  b \,d^{5} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-90 i \pi  b \,d^{2} e^{4} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-120 i \pi  b \,d^{3} e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+180 b \,d^{4} e^{2} x^{2} \ln \left(c \right)+72 b \,d^{5} e x \ln \left(c \right)+180 b \,d^{2} e^{4} x^{4} \ln \left(c \right)+240 b \,d^{3} e^{3} x^{3} \ln \left(c \right)-90 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-36 i \pi  b \,d^{5} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+72 b d \,e^{5} n \,x^{5} \ln \left(e x +d \right)+180 b \,d^{2} e^{4} n \,x^{4} \ln \left(e x +d \right)+240 b \,d^{3} e^{3} n \,x^{3} \ln \left(e x +d \right)+180 b \,d^{4} e^{2} n \,x^{2} \ln \left(e x +d \right)+72 b \,d^{5} e n x \ln \left(e x +d \right)-72 b d \,e^{5} n \,x^{5} \ln \left(-x \right)-180 b \,d^{2} e^{4} n \,x^{4} \ln \left(-x \right)-240 b \,d^{3} e^{3} n \,x^{3} \ln \left(-x \right)-180 b \,d^{4} e^{2} n \,x^{2} \ln \left(-x \right)-72 b \,d^{5} e n x \ln \left(-x \right)+6 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b \,d^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{360 \left(e x +d \right)^{6} d^{2} e^{5}}"," ",0,"-1/30*b*(15*e^4*x^4+20*d*e^3*x^3+15*d^2*e^2*x^2+6*d^3*e*x+d^4)/(e*x+d)^6/e^5*ln(x^n)-1/360*(-12*b*d*e^5*n*x^5+24*b*d^2*e^4*n*x^4+112*b*d^3*e^3*n*x^3+129*b*d^4*e^2*n*x^2+66*b*d^5*e*n*x+12*b*d^6*n*ln(e*x+d)-12*b*d^6*n*ln(-x)+180*a*d^2*e^4*x^4+240*a*d^3*e^3*x^3+180*a*d^4*e^2*x^2+72*a*d^5*e*x+12*a*d^6+12*b*d^6*ln(c)+13*b*d^6*n+36*I*Pi*b*d^5*e*x*csgn(I*c*x^n)^2*csgn(I*c)+90*I*Pi*b*d^2*e^4*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+90*I*Pi*b*d^4*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+12*b*e^6*n*x^6*ln(e*x+d)-12*b*e^6*n*x^6*ln(-x)+90*I*Pi*b*d^4*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+36*I*Pi*b*d^5*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-90*I*Pi*b*d^2*e^4*x^4*csgn(I*c*x^n)^3+90*I*Pi*b*d^2*e^4*x^4*csgn(I*c*x^n)^2*csgn(I*c)+120*I*Pi*b*d^3*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+120*I*Pi*b*d^3*e^3*x^3*csgn(I*c*x^n)^2*csgn(I*c)-90*I*Pi*b*d^2*e^4*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+180*b*d^4*e^2*x^2*ln(c)+72*b*d^5*e*x*ln(c)+180*b*d^2*e^4*x^4*ln(c)+240*b*d^3*e^3*x^3*ln(c)-6*I*Pi*b*d^6*csgn(I*c*x^n)^3-36*I*Pi*b*d^5*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-120*I*Pi*b*d^3*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-90*I*Pi*b*d^4*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+6*I*Pi*b*d^6*csgn(I*x^n)*csgn(I*c*x^n)^2+6*I*Pi*b*d^6*csgn(I*c*x^n)^2*csgn(I*c)+72*b*d*e^5*n*x^5*ln(e*x+d)+180*b*d^2*e^4*n*x^4*ln(e*x+d)+240*b*d^3*e^3*n*x^3*ln(e*x+d)+180*b*d^4*e^2*n*x^2*ln(e*x+d)+72*b*d^5*e*n*x*ln(e*x+d)-72*b*d*e^5*n*x^5*ln(-x)-180*b*d^2*e^4*n*x^4*ln(-x)-240*b*d^3*e^3*n*x^3*ln(-x)-180*b*d^4*e^2*n*x^2*ln(-x)-72*b*d^5*e*n*x*ln(-x)-120*I*Pi*b*d^3*e^3*x^3*csgn(I*c*x^n)^3-90*I*Pi*b*d^4*e^2*x^2*csgn(I*c*x^n)^3-36*I*Pi*b*d^5*e*x*csgn(I*c*x^n)^3-6*I*Pi*b*d^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))/d^2/e^5/(e*x+d)^6","C"
67,1,867,207,0.288000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x+d)^7,x)","-\frac{\left(20 e^{3} x^{3}+15 d \,e^{2} x^{2}+6 d^{2} e x +d^{3}\right) b \ln \left(x^{n}\right)}{60 \left(e x +d \right)^{6} e^{4}}-\frac{-3 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 b d \,e^{5} n \,x^{5}-33 b \,d^{2} e^{4} n \,x^{4}-34 b \,d^{3} e^{3} n \,x^{3}-3 b \,d^{4} e^{2} n \,x^{2}+6 b \,d^{5} e n x +6 b \,d^{6} n \ln \left(e x +d \right)-6 b \,d^{6} n \ln \left(-x \right)+120 a \,d^{3} e^{3} x^{3}+90 a \,d^{4} e^{2} x^{2}+36 a \,d^{5} e x +6 a \,d^{6}+6 b \,d^{6} \ln \left(c \right)+2 b \,d^{6} n -60 i \pi  b \,d^{3} e^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 b \,e^{6} n \,x^{6} \ln \left(e x +d \right)-6 b \,e^{6} n \,x^{6} \ln \left(-x \right)-45 i \pi  b \,d^{4} e^{2} x^{2} \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 \,d^{5} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+60 i \pi  b \,d^{3} e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+60 i \pi  b \,d^{3} e^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+45 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+45 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b \,d^{5} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b \,d^{5} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-60 i \pi  b \,d^{3} e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+90 b \,d^{4} e^{2} x^{2} \ln \left(c \right)+36 b \,d^{5} e x \ln \left(c \right)+120 b \,d^{3} e^{3} x^{3} \ln \left(c \right)-45 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-18 i \pi  b \,d^{5} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-3 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+36 b d \,e^{5} n \,x^{5} \ln \left(e x +d \right)+90 b \,d^{2} e^{4} n \,x^{4} \ln \left(e x +d \right)+120 b \,d^{3} e^{3} n \,x^{3} \ln \left(e x +d \right)+90 b \,d^{4} e^{2} n \,x^{2} \ln \left(e x +d \right)+36 b \,d^{5} e n x \ln \left(e x +d \right)-36 b d \,e^{5} n \,x^{5} \ln \left(-x \right)-90 b \,d^{2} e^{4} n \,x^{4} \ln \left(-x \right)-120 b \,d^{3} e^{3} n \,x^{3} \ln \left(-x \right)-90 b \,d^{4} e^{2} n \,x^{2} \ln \left(-x \right)-36 b \,d^{5} e n x \ln \left(-x \right)+3 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,d^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{360 \left(e x +d \right)^{6} d^{3} e^{4}}"," ",0,"-1/60*b*(20*e^3*x^3+15*d*e^2*x^2+6*d^2*e*x+d^3)/(e*x+d)^6/e^4*ln(x^n)-1/360*(45*I*Pi*b*d^4*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-6*b*d*e^5*n*x^5-33*b*d^2*e^4*n*x^4-34*b*d^3*e^3*n*x^3-3*b*d^4*e^2*n*x^2+6*b*d^5*e*n*x+6*b*d^6*n*ln(e*x+d)-6*b*d^6*n*ln(-x)+120*a*d^3*e^3*x^3+90*a*d^4*e^2*x^2+36*a*d^5*e*x+60*I*Pi*b*d^3*e^3*x^3*csgn(I*c*x^n)^2*csgn(I*c)+6*a*d^6+6*b*d^6*ln(c)+2*b*d^6*n+45*I*Pi*b*d^4*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+18*I*Pi*b*d^5*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+18*I*Pi*b*d^5*e*x*csgn(I*c*x^n)^2*csgn(I*c)+60*I*Pi*b*d^3*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+6*b*e^6*n*x^6*ln(e*x+d)-6*b*e^6*n*x^6*ln(-x)-45*I*Pi*b*d^4*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-18*I*Pi*b*d^5*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-60*I*Pi*b*d^3*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*Pi*b*d^6*csgn(I*c*x^n)^3+90*b*d^4*e^2*x^2*ln(c)+36*b*d^5*e*x*ln(c)+120*b*d^3*e^3*x^3*ln(c)+3*I*Pi*b*d^6*csgn(I*x^n)*csgn(I*c*x^n)^2+3*I*Pi*b*d^6*csgn(I*c*x^n)^2*csgn(I*c)+36*b*d*e^5*n*x^5*ln(e*x+d)+90*b*d^2*e^4*n*x^4*ln(e*x+d)+120*b*d^3*e^3*n*x^3*ln(e*x+d)+90*b*d^4*e^2*n*x^2*ln(e*x+d)+36*b*d^5*e*n*x*ln(e*x+d)-36*b*d*e^5*n*x^5*ln(-x)-90*b*d^2*e^4*n*x^4*ln(-x)-120*b*d^3*e^3*n*x^3*ln(-x)-90*b*d^4*e^2*n*x^2*ln(-x)-36*b*d^5*e*n*x*ln(-x)-60*I*Pi*b*d^3*e^3*x^3*csgn(I*c*x^n)^3-45*I*Pi*b*d^4*e^2*x^2*csgn(I*c*x^n)^3-18*I*Pi*b*d^5*e*x*csgn(I*c*x^n)^3-3*I*Pi*b*d^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))/e^4/d^3/(e*x+d)^6","C"
68,1,712,182,0.273000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x+d)^7,x)","-\frac{\left(15 e^{2} x^{2}+6 d e x +d^{2}\right) b \ln \left(x^{n}\right)}{60 \left(e x +d \right)^{6} e^{3}}+\frac{3 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 b d \,e^{5} n \,x^{5}+33 b \,d^{2} e^{4} n \,x^{4}+74 b \,d^{3} e^{3} n \,x^{3}+63 b \,d^{4} e^{2} n \,x^{2}+18 b \,d^{5} e n x -6 b \,d^{6} n \ln \left(e x +d \right)+6 b \,d^{6} n \ln \left(-x \right)-90 a \,d^{4} e^{2} x^{2}-36 a \,d^{5} e x -6 a \,d^{6}-6 b \,d^{6} \ln \left(c \right)+2 b \,d^{6} n -6 b \,e^{6} n \,x^{6} \ln \left(e x +d \right)+6 b \,e^{6} n \,x^{6} \ln \left(-x \right)+45 i \pi  b \,d^{4} e^{2} x^{2} \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 \,d^{5} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-45 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-45 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 i \pi  b \,d^{5} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 i \pi  b \,d^{5} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-90 b \,d^{4} e^{2} x^{2} \ln \left(c \right)-36 b \,d^{5} e x \ln \left(c \right)+45 i \pi  b \,d^{4} e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+18 i \pi  b \,d^{5} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-36 b d \,e^{5} n \,x^{5} \ln \left(e x +d \right)-90 b \,d^{2} e^{4} n \,x^{4} \ln \left(e x +d \right)-120 b \,d^{3} e^{3} n \,x^{3} \ln \left(e x +d \right)-90 b \,d^{4} e^{2} n \,x^{2} \ln \left(e x +d \right)-36 b \,d^{5} e n x \ln \left(e x +d \right)+36 b d \,e^{5} n \,x^{5} \ln \left(-x \right)+90 b \,d^{2} e^{4} n \,x^{4} \ln \left(-x \right)+120 b \,d^{3} e^{3} n \,x^{3} \ln \left(-x \right)+90 b \,d^{4} e^{2} n \,x^{2} \ln \left(-x \right)+36 b \,d^{5} e n x \ln \left(-x \right)-3 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \,d^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{360 \left(e x +d \right)^{6} d^{4} e^{3}}"," ",0,"-1/60*b*(15*e^2*x^2+6*d*e*x+d^2)/(e*x+d)^6/e^3*ln(x^n)+1/360*(6*b*d*e^5*n*x^5+33*b*d^2*e^4*n*x^4+74*b*d^3*e^3*n*x^3+63*b*d^4*e^2*n*x^2+18*b*d^5*e*n*x-6*b*d^6*n*ln(e*x+d)+6*b*d^6*n*ln(-x)-90*a*d^4*e^2*x^2-36*a*d^5*e*x-6*a*d^6-6*b*d^6*ln(c)+2*b*d^6*n-45*I*Pi*b*d^4*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+45*I*Pi*b*d^4*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+18*I*Pi*b*d^5*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3*I*Pi*b*d^6*csgn(I*c*x^n)^3-6*b*e^6*n*x^6*ln(e*x+d)+6*b*e^6*n*x^6*ln(-x)-18*I*Pi*b*d^5*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-18*I*Pi*b*d^5*e*x*csgn(I*c*x^n)^2*csgn(I*c)-45*I*Pi*b*d^4*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-90*b*d^4*e^2*x^2*ln(c)-36*b*d^5*e*x*ln(c)+45*I*Pi*b*d^4*e^2*x^2*csgn(I*c*x^n)^3-3*I*Pi*b*d^6*csgn(I*c*x^n)^2*csgn(I*c)-3*I*Pi*b*d^6*csgn(I*x^n)*csgn(I*c*x^n)^2+18*I*Pi*b*d^5*e*x*csgn(I*c*x^n)^3+3*I*Pi*b*d^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-36*b*d*e^5*n*x^5*ln(e*x+d)-90*b*d^2*e^4*n*x^4*ln(e*x+d)-120*b*d^3*e^3*n*x^3*ln(e*x+d)-90*b*d^4*e^2*n*x^2*ln(e*x+d)-36*b*d^5*e*n*x*ln(e*x+d)+36*b*d*e^5*n*x^5*ln(-x)+90*b*d^2*e^4*n*x^4*ln(-x)+120*b*d^3*e^3*n*x^3*ln(-x)+90*b*d^4*e^2*n*x^2*ln(-x)+36*b*d^5*e*n*x*ln(-x))/d^4/e^3/(e*x+d)^6","C"
69,1,557,159,0.250000," ","int(x*(b*ln(c*x^n)+a)/(e*x+d)^7,x)","-\frac{\left(6 e x +d \right) b \ln \left(x^{n}\right)}{30 \left(e x +d \right)^{6} e^{2}}-\frac{-6 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-12 b d \,e^{5} n \,x^{5}-66 b \,d^{2} e^{4} n \,x^{4}-148 b \,d^{3} e^{3} n \,x^{3}-171 b \,d^{4} e^{2} n \,x^{2}-90 b \,d^{5} e n x +12 b \,d^{6} n \ln \left(e x +d \right)-12 b \,d^{6} n \ln \left(-x \right)+72 a \,d^{5} e x +12 a \,d^{6}+12 b \,d^{6} \ln \left(c \right)-13 b \,d^{6} n +12 b \,e^{6} n \,x^{6} \ln \left(e x +d \right)-12 b \,e^{6} n \,x^{6} \ln \left(-x \right)-36 i \pi  b \,d^{5} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+36 i \pi  b \,d^{5} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  b \,d^{5} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+72 b \,d^{5} e x \ln \left(c \right)-36 i \pi  b \,d^{5} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+72 b d \,e^{5} n \,x^{5} \ln \left(e x +d \right)+180 b \,d^{2} e^{4} n \,x^{4} \ln \left(e x +d \right)+240 b \,d^{3} e^{3} n \,x^{3} \ln \left(e x +d \right)+180 b \,d^{4} e^{2} n \,x^{2} \ln \left(e x +d \right)+72 b \,d^{5} e n x \ln \left(e x +d \right)-72 b d \,e^{5} n \,x^{5} \ln \left(-x \right)-180 b \,d^{2} e^{4} n \,x^{4} \ln \left(-x \right)-240 b \,d^{3} e^{3} n \,x^{3} \ln \left(-x \right)-180 b \,d^{4} e^{2} n \,x^{2} \ln \left(-x \right)-72 b \,d^{5} e n x \ln \left(-x \right)+6 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b \,d^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{360 \left(e x +d \right)^{6} d^{5} e^{2}}"," ",0,"-1/30*b*(6*e*x+d)/(e*x+d)^6/e^2*ln(x^n)-1/360*(-12*b*d*e^5*n*x^5-66*b*d^2*e^4*n*x^4-148*b*d^3*e^3*n*x^3-171*b*d^4*e^2*n*x^2-90*b*d^5*e*n*x+12*b*d^6*n*ln(e*x+d)-12*b*d^6*n*ln(-x)+72*a*d^5*e*x+12*a*d^6+12*b*d^6*ln(c)-13*b*d^6*n+36*I*Pi*b*d^5*e*x*csgn(I*c)*csgn(I*c*x^n)^2+12*b*e^6*n*x^6*ln(e*x+d)-12*b*e^6*n*x^6*ln(-x)+36*I*Pi*b*d^5*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+72*b*d^5*e*x*ln(c)-6*I*Pi*b*d^6*csgn(I*c*x^n)^3-36*I*Pi*b*d^5*e*x*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+6*I*Pi*b*d^6*csgn(I*x^n)*csgn(I*c*x^n)^2+6*I*Pi*b*d^6*csgn(I*c)*csgn(I*c*x^n)^2+72*b*d*e^5*n*x^5*ln(e*x+d)+180*b*d^2*e^4*n*x^4*ln(e*x+d)+240*b*d^3*e^3*n*x^3*ln(e*x+d)+180*b*d^4*e^2*n*x^2*ln(e*x+d)+72*b*d^5*e*n*x*ln(e*x+d)-72*b*d*e^5*n*x^5*ln(-x)-180*b*d^2*e^4*n*x^4*ln(-x)-240*b*d^3*e^3*n*x^3*ln(-x)-180*b*d^4*e^2*n*x^2*ln(-x)-72*b*d^5*e*n*x*ln(-x)-36*I*Pi*b*d^5*e*x*csgn(I*c*x^n)^3-6*I*Pi*b*d^6*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n))/e^2/d^5/(e*x+d)^6","C"
70,1,431,139,0.211000," ","int((b*ln(c*x^n)+a)/(e*x+d)^7,x)","-\frac{b \ln \left(x^{n}\right)}{6 \left(e x +d \right)^{6} e}-\frac{-30 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-60 b d \,e^{5} n \,x^{5}-330 b \,d^{2} e^{4} n \,x^{4}-740 b \,d^{3} e^{3} n \,x^{3}-855 b \,d^{4} e^{2} n \,x^{2}-522 b \,d^{5} e n x +60 b \,d^{6} n \ln \left(e x +d \right)-60 b \,d^{6} n \ln \left(-x \right)+60 a \,d^{6}+60 b \,d^{6} \ln \left(c \right)-137 b \,d^{6} n +60 b \,e^{6} n \,x^{6} \ln \left(e x +d \right)-60 b \,e^{6} n \,x^{6} \ln \left(-x \right)-30 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+360 b d \,e^{5} n \,x^{5} \ln \left(e x +d \right)+900 b \,d^{2} e^{4} n \,x^{4} \ln \left(e x +d \right)+1200 b \,d^{3} e^{3} n \,x^{3} \ln \left(e x +d \right)+900 b \,d^{4} e^{2} n \,x^{2} \ln \left(e x +d \right)+360 b \,d^{5} e n x \ln \left(e x +d \right)-360 b d \,e^{5} n \,x^{5} \ln \left(-x \right)-900 b \,d^{2} e^{4} n \,x^{4} \ln \left(-x \right)-1200 b \,d^{3} e^{3} n \,x^{3} \ln \left(-x \right)-900 b \,d^{4} e^{2} n \,x^{2} \ln \left(-x \right)-360 b \,d^{5} e n x \ln \left(-x \right)+30 i \pi  b \,d^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+30 i \pi  b \,d^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{360 \left(e x +d \right)^{6} d^{6} e}"," ",0,"-1/6*b/e/(e*x+d)^6*ln(x^n)-1/360*(-60*b*d*e^5*n*x^5-330*b*d^2*e^4*n*x^4-740*b*d^3*e^3*n*x^3-855*b*d^4*e^2*n*x^2-522*b*d^5*e*n*x+60*b*d^6*n*ln(e*x+d)-60*b*d^6*n*ln(-x)+60*a*d^6+60*b*d^6*ln(c)-137*b*d^6*n-30*I*Pi*b*d^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-30*I*Pi*b*d^6*csgn(I*c*x^n)^3+60*b*e^6*n*x^6*ln(e*x+d)-60*b*e^6*n*x^6*ln(-x)+30*I*Pi*b*d^6*csgn(I*c*x^n)^2*csgn(I*c)+30*I*Pi*b*d^6*csgn(I*x^n)*csgn(I*c*x^n)^2+360*b*d*e^5*n*x^5*ln(e*x+d)+900*b*d^2*e^4*n*x^4*ln(e*x+d)+1200*b*d^3*e^3*n*x^3*ln(e*x+d)+900*b*d^4*e^2*n*x^2*ln(e*x+d)+360*b*d^5*e*n*x*ln(e*x+d)-360*b*d*e^5*n*x^5*ln(-x)-900*b*d^2*e^4*n*x^4*ln(-x)-1200*b*d^3*e^3*n*x^3*ln(-x)-900*b*d^4*e^2*n*x^2*ln(-x)-360*b*d^5*e*n*x*ln(-x))/d^6/e/(e*x+d)^6","C"
71,1,1427,270,0.217000," ","int((b*ln(c*x^n)+a)/x/(e*x+d)^7,x)","\frac{b n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{7}}+\frac{b n \dilog \left(-\frac{e x}{d}\right)}{d^{7}}+\frac{b \ln \left(x \right) \ln \left(x^{n}\right)}{d^{7}}-\frac{b \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{7}}+\frac{b \ln \left(x^{n}\right)}{\left(e x +d \right) d^{6}}+\frac{b \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} d^{5}}+\frac{b \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} d^{4}}+\frac{b \ln \left(x^{n}\right)}{4 \left(e x +d \right)^{4} d^{3}}+\frac{b \ln \left(x^{n}\right)}{5 \left(e x +d \right)^{5} d^{2}}+\frac{b \ln \left(x^{n}\right)}{6 \left(e x +d \right)^{6} d}+\frac{a}{\left(e x +d \right) d^{6}}+\frac{a}{2 \left(e x +d \right)^{2} d^{5}}+\frac{a}{3 \left(e x +d \right)^{3} d^{4}}+\frac{a}{4 \left(e x +d \right)^{4} d^{3}}+\frac{a}{5 \left(e x +d \right)^{5} d^{2}}+\frac{a}{6 \left(e x +d \right)^{6} d}+\frac{a \ln \left(x \right)}{d^{7}}-\frac{a \ln \left(e x +d \right)}{d^{7}}+\frac{b \ln \left(c \right)}{6 \left(e x +d \right)^{6} d}+\frac{b \ln \left(c \right) \ln \left(x \right)}{d^{7}}-\frac{b \ln \left(c \right) \ln \left(e x +d \right)}{d^{7}}+\frac{b \ln \left(c \right)}{\left(e x +d \right) d^{6}}+\frac{b \ln \left(c \right)}{2 \left(e x +d \right)^{2} d^{5}}+\frac{b \ln \left(c \right)}{3 \left(e x +d \right)^{3} d^{4}}+\frac{b \ln \left(c \right)}{4 \left(e x +d \right)^{4} d^{3}}+\frac{b \ln \left(c \right)}{5 \left(e x +d \right)^{5} d^{2}}-\frac{b n \ln \left(x \right)^{2}}{2 d^{7}}-\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)}{10 \left(e x +d \right)^{5} d^{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)}{8 \left(e x +d \right)^{4} d^{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(x \right)}{2 d^{7}}+\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 +d \right)}{2 d^{7}}-\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)}{6 \left(e x +d \right)^{3} d^{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)}{4 \left(e x +d \right)^{2} d^{5}}-\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 \left(e x +d \right) d^{6}}-\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)}{12 \left(e x +d \right)^{6} d}-\frac{b n}{30 \left(e x +d \right)^{5} d^{2}}-\frac{11 b n}{120 \left(e x +d \right)^{4} d^{3}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} d^{5}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) d^{6}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{7}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 d^{7}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12 \left(e x +d \right)^{6} d}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10 \left(e x +d \right)^{5} d^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 \left(e x +d \right)^{4} d^{3}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 \left(e x +d \right)^{3} d^{4}}-\frac{37 b n}{180 \left(e x +d \right)^{3} d^{4}}-\frac{19 b n}{40 \left(e x +d \right)^{2} d^{5}}-\frac{29 b n}{20 \left(e x +d \right) d^{6}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 \left(e x +d \right)^{6} d}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 \left(e x +d \right)^{6} d}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10 \left(e x +d \right)^{5} d^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10 \left(e x +d \right)^{5} d^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e x +d \right)^{4} d^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e x +d \right)^{4} d^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} d^{4}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{3} d^{4}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{5}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{5}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{6}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{6}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{7}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{7}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{7}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{7}}-\frac{49 b n \ln \left(x \right)}{20 d^{7}}+\frac{49 b n \ln \left(e x +d \right)}{20 d^{7}}"," ",0,"1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^5/(e*x+d)^2+1/12*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/(e*x+d)^6+b*n/d^7*ln(e*x+d)*ln(-1/d*e*x)-1/12*I*b*Pi*csgn(I*c*x^n)^3/d/(e*x+d)^6-1/10*I*b*Pi*csgn(I*c*x^n)^3/d^2/(e*x+d)^5-1/2*I*b*Pi*csgn(I*c*x^n)^3/d^7*ln(x)-1/2*I*b*Pi*csgn(I*c*x^n)^3/d^6/(e*x+d)-1/4*I*b*Pi*csgn(I*c*x^n)^3/d^5/(e*x+d)^2-1/8*I*b*Pi*csgn(I*c*x^n)^3/d^3/(e*x+d)^4-1/6*I*b*Pi*csgn(I*c*x^n)^3/d^4/(e*x+d)^3+1/2*I*b*Pi*csgn(I*c*x^n)^3/d^7*ln(e*x+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^5/(e*x+d)^2-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^6/(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^7*ln(x)-1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3/(e*x+d)^4+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^7*ln(e*x+d)-1/12*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/(e*x+d)^6+b*ln(x^n)/d^7*ln(x)-b*ln(x^n)/d^7*ln(e*x+d)+b*ln(x^n)/d^6/(e*x+d)+1/2*b*ln(x^n)/d^5/(e*x+d)^2+1/3*b*ln(x^n)/d^4/(e*x+d)^3+1/4*b*ln(x^n)/d^3/(e*x+d)^4+1/5*b*ln(x^n)/d^2/(e*x+d)^5+1/6*b*ln(x^n)/d/(e*x+d)^6+a/d^6/(e*x+d)+1/2*a/d^5/(e*x+d)^2+1/3*a/d^4/(e*x+d)^3+1/4*a/d^3/(e*x+d)^4+1/5*a/d^2/(e*x+d)^5+1/6*a/d/(e*x+d)^6+a/d^7*ln(x)-a/d^7*ln(e*x+d)-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4/(e*x+d)^3+1/6*b*ln(c)/d/(e*x+d)^6+b*ln(c)/d^7*ln(x)-b*ln(c)/d^7*ln(e*x+d)+b*ln(c)/d^6/(e*x+d)+1/2*b*ln(c)/d^5/(e*x+d)^2+1/3*b*ln(c)/d^4/(e*x+d)^3+1/4*b*ln(c)/d^3/(e*x+d)^4+1/5*b*ln(c)/d^2/(e*x+d)^5-1/2*b*n/d^7*ln(x)^2+b*n/d^7*dilog(-1/d*e*x)-1/10*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2/(e*x+d)^5+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^6/(e*x+d)+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4/(e*x+d)^3+1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3/(e*x+d)^4-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^7*ln(e*x+d)+1/12*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/(e*x+d)^6+1/10*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2/(e*x+d)^5+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^7*ln(x)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^7*ln(e*x+d)+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^5/(e*x+d)^2+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^6/(e*x+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^7*ln(x)+1/10*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2/(e*x+d)^5+1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4/(e*x+d)^3+1/8*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3/(e*x+d)^4-1/30*b*n/d^2/(e*x+d)^5-11/120*b*n/d^3/(e*x+d)^4-37/180*b*n/d^4/(e*x+d)^3-19/40*b*n/d^5/(e*x+d)^2-29/20*b*n/d^6/(e*x+d)-49/20*b*n*ln(x)/d^7+49/20*b*n*ln(e*x+d)/d^7","C"
72,1,1650,317,0.230000," ","int((b*ln(c*x^n)+a)/x^2/(e*x+d)^7,x)","-\frac{5 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{6}}+\frac{b e n}{30 \left(e x +d \right)^{5} d^{3}}+\frac{17 b e n}{120 \left(e x +d \right)^{4} d^{4}}+\frac{79 b e n}{180 \left(e x +d \right)^{3} d^{5}}+\frac{53 b e n}{40 \left(e x +d \right)^{2} d^{6}}+\frac{103 b e n}{20 \left(e x +d \right) d^{7}}-\frac{b \ln \left(x^{n}\right)}{d^{7} x}-\frac{7 a e \ln \left(x \right)}{d^{8}}+\frac{7 a e \ln \left(e x +d \right)}{d^{8}}-\frac{a e}{6 \left(e x +d \right)^{6} d^{2}}-\frac{6 a e}{\left(e x +d \right) d^{7}}-\frac{5 a e}{2 \left(e x +d \right)^{2} d^{6}}-\frac{4 a e}{3 \left(e x +d \right)^{3} d^{5}}-\frac{3 a e}{4 \left(e x +d \right)^{4} d^{4}}-\frac{2 a e}{5 \left(e x +d \right)^{5} d^{3}}-\frac{b \ln \left(c \right)}{d^{7} x}-\frac{a}{d^{7} x}-\frac{7 b e n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{8}}-\frac{3 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e x +d \right)^{4} d^{4}}-\frac{2 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3 \left(e x +d \right)^{3} d^{5}}-\frac{2 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3 \left(e x +d \right)^{3} d^{5}}+\frac{7 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 d^{8}}-\frac{b e \ln \left(x^{n}\right)}{6 \left(e x +d \right)^{6} d^{2}}+\frac{7 b e \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{8}}-\frac{6 b e \ln \left(x^{n}\right)}{\left(e x +d \right) d^{7}}-\frac{5 b e \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} d^{6}}-\frac{4 b e \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} d^{5}}-\frac{3 b e \ln \left(x^{n}\right)}{4 \left(e x +d \right)^{4} d^{4}}-\frac{2 b e \ln \left(x^{n}\right)}{5 \left(e x +d \right)^{5} d^{3}}-\frac{7 b e n \dilog \left(-\frac{e x}{d}\right)}{d^{8}}-\frac{7 b e \ln \left(x \right) \ln \left(x^{n}\right)}{d^{8}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 \left(e x +d \right)^{6} d^{2}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 \left(e x +d \right)^{6} d^{2}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{5 \left(e x +d \right)^{5} d^{3}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{5 \left(e x +d \right)^{5} d^{3}}-\frac{3 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e x +d \right)^{4} d^{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)}{12 \left(e x +d \right)^{6} d^{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)}{5 \left(e x +d \right)^{5} d^{3}}+\frac{3 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)}{8 \left(e x +d \right)^{4} d^{4}}+\frac{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)}{3 \left(e x +d \right)^{3} d^{5}}+\frac{5 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 \left(e x +d \right)^{2} d^{6}}+\frac{3 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)}{\left(e x +d \right) d^{7}}-\frac{2 b e \ln \left(c \right)}{5 \left(e x +d \right)^{5} d^{3}}-\frac{7 b e \ln \left(c \right) \ln \left(x \right)}{d^{8}}+\frac{7 b e \ln \left(c \right) \ln \left(e x +d \right)}{d^{8}}-\frac{b e \ln \left(c \right)}{6 \left(e x +d \right)^{6} d^{2}}-\frac{6 b e \ln \left(c \right)}{\left(e x +d \right) d^{7}}-\frac{5 b e \ln \left(c \right)}{2 \left(e x +d \right)^{2} d^{6}}-\frac{4 b e \ln \left(c \right)}{3 \left(e x +d \right)^{3} d^{5}}-\frac{3 b e \ln \left(c \right)}{4 \left(e x +d \right)^{4} d^{4}}+\frac{7 b e n \ln \left(x \right)^{2}}{2 d^{8}}-\frac{7 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 +d \right)}{2 d^{8}}-\frac{b n}{d^{7} x}-\frac{5 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{6}}-\frac{3 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) d^{7}}+\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 d^{7} x}-\frac{3 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{\left(e x +d \right) d^{7}}-\frac{7 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{8}}+\frac{7 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{8}}-\frac{7 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 d^{8}}+\frac{7 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{8}}+\frac{223 b e n \ln \left(x \right)}{20 d^{8}}-\frac{223 b e n \ln \left(e x +d \right)}{20 d^{8}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{7} x}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12 \left(e x +d \right)^{6} d^{2}}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{5 \left(e x +d \right)^{5} d^{3}}+\frac{3 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 \left(e x +d \right)^{4} d^{4}}+\frac{2 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{3 \left(e x +d \right)^{3} d^{5}}+\frac{5 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} d^{6}}+\frac{3 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{\left(e x +d \right) d^{7}}+\frac{7 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{8}}-\frac{7 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 d^{8}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{7} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{7} x}"," ",0,"2/3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^5/(e*x+d)^3+3/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*e/(e*x+d)^4-1/5*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*e/(e*x+d)^5-2/3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^5/(e*x+d)^3+7/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^8*e*ln(e*x+d)+1/2*I*b*Pi*csgn(I*c*x^n)^3/d^7/x+1/30*b*e*n/d^3/(e*x+d)^5+17/120*b*e*n/d^4/(e*x+d)^4+79/180*b*e*n/d^5/(e*x+d)^3+53/40*b*e*n/d^6/(e*x+d)^2+103/20*b*e*n/d^7/(e*x+d)-b*ln(x^n)/d^7/x-7*a/d^8*e*ln(x)+7*a/d^8*e*ln(e*x+d)-1/6*a*e/d^2/(e*x+d)^6-6*a/d^7*e/(e*x+d)-5/2*a*e/d^6/(e*x+d)^2-4/3*a*e/d^5/(e*x+d)^3-3/4*a/d^4*e/(e*x+d)^4-2/5*a/d^3*e/(e*x+d)^5-b*ln(c)/d^7/x-7/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^8*e*ln(x)-7/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^8*e*ln(x)-a/d^7/x-3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^7*e/(e*x+d)-7*b*n/d^8*e*ln(e*x+d)*ln(-1/d*e*x)-3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^7*e/(e*x+d)+3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^7*e/(e*x+d)+5/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^6/(e*x+d)^2-3/8*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*e/(e*x+d)^4-3/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*e/(e*x+d)^4-7/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^8*e*ln(e*x+d)+1/5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*e/(e*x+d)^5+7/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^8*e*ln(x)-1/12*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2/(e*x+d)^6-5/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^6/(e*x+d)^2-2/3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^5/(e*x+d)^3-1/5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*e/(e*x+d)^5+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^7/x-1/12*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2/(e*x+d)^6-5/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^6/(e*x+d)^2+7/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^8*e*ln(e*x+d)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^7/x+2/3*I*b*Pi*csgn(I*c*x^n)^3*e/d^5/(e*x+d)^3+7/2*I*b*Pi*csgn(I*c*x^n)^3/d^8*e*ln(x)+1/12*I*b*Pi*csgn(I*c*x^n)^3*e/d^2/(e*x+d)^6+1/5*I*b*Pi*csgn(I*c*x^n)^3/d^3*e/(e*x+d)^5+3*I*b*Pi*csgn(I*c*x^n)^3/d^7*e/(e*x+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^7/x+3/8*I*b*Pi*csgn(I*c*x^n)^3/d^4*e/(e*x+d)^4+5/4*I*b*Pi*csgn(I*c*x^n)^3*e/d^6/(e*x+d)^2-7/2*I*b*Pi*csgn(I*c*x^n)^3/d^8*e*ln(e*x+d)+1/12*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2/(e*x+d)^6-1/6*b*ln(x^n)*e/d^2/(e*x+d)^6+7*b*ln(x^n)/d^8*e*ln(e*x+d)-6*b*ln(x^n)/d^7*e/(e*x+d)-5/2*b*ln(x^n)*e/d^6/(e*x+d)^2-4/3*b*ln(x^n)*e/d^5/(e*x+d)^3-3/4*b*ln(x^n)/d^4*e/(e*x+d)^4-2/5*b*ln(x^n)/d^3*e/(e*x+d)^5-7*b*ln(x^n)/d^8*e*ln(x)-2/5*b*ln(c)/d^3*e/(e*x+d)^5-7*b*ln(c)/d^8*e*ln(x)+7*b*ln(c)/d^8*e*ln(e*x+d)-1/6*b*ln(c)*e/d^2/(e*x+d)^6-6*b*ln(c)/d^7*e/(e*x+d)-5/2*b*ln(c)*e/d^6/(e*x+d)^2-4/3*b*ln(c)*e/d^5/(e*x+d)^3-3/4*b*ln(c)/d^4*e/(e*x+d)^4+7/2*b*n/d^8*e*ln(x)^2-7*b*n/d^8*e*dilog(-1/d*e*x)-b*n/d^7/x+223/20*b*e*n*ln(x)/d^8-223/20*b*e*n*ln(e*x+d)/d^8","C"
73,1,1939,376,0.232000," ","int((b*ln(c*x^n)+a)/x^3/(e*x+d)^7,x)","-\frac{b \ln \left(x^{n}\right)}{2 d^{7} x^{2}}+\frac{a \,e^{2}}{6 \left(e x +d \right)^{6} d^{3}}+\frac{28 a \,e^{2} \ln \left(x \right)}{d^{9}}-\frac{28 a \,e^{2} \ln \left(e x +d \right)}{d^{9}}+\frac{7 a e}{d^{8} x}+\frac{21 a \,e^{2}}{\left(e x +d \right) d^{8}}+\frac{15 a \,e^{2}}{2 \left(e x +d \right)^{2} d^{7}}+\frac{10 a \,e^{2}}{3 \left(e x +d \right)^{3} d^{6}}+\frac{3 a \,e^{2}}{2 \left(e x +d \right)^{4} d^{5}}+\frac{3 a \,e^{2}}{5 \left(e x +d \right)^{5} d^{4}}-\frac{b \ln \left(c \right)}{2 d^{7} x^{2}}+\frac{7 b e n}{d^{8} x}-\frac{a}{2 d^{7} x^{2}}+\frac{28 b \,e^{2} n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{9}}-\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)}{12 \left(e x +d \right)^{6} d^{3}}-\frac{3 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)}{10 \left(e x +d \right)^{5} d^{4}}-\frac{3 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)}{4 \left(e x +d \right)^{4} d^{5}}-\frac{5 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)}{3 \left(e x +d \right)^{3} d^{6}}+\frac{341 b \,e^{2} n \ln \left(e x +d \right)}{10 d^{9}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 \left(e x +d \right)^{6} d^{3}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12 \left(e x +d \right)^{6} d^{3}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10 \left(e x +d \right)^{5} d^{4}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10 \left(e x +d \right)^{5} d^{4}}+\frac{21 b \,e^{2} \ln \left(c \right)}{\left(e x +d \right) d^{8}}+\frac{15 b \,e^{2} \ln \left(c \right)}{2 \left(e x +d \right)^{2} d^{7}}+\frac{10 b \,e^{2} \ln \left(c \right)}{3 \left(e x +d \right)^{3} d^{6}}+\frac{3 b \,e^{2} \ln \left(c \right)}{2 \left(e x +d \right)^{4} d^{5}}+\frac{3 b \,e^{2} \ln \left(c \right)}{5 \left(e x +d \right)^{5} d^{4}}+\frac{b \,e^{2} \ln \left(c \right)}{6 \left(e x +d \right)^{6} d^{3}}-\frac{28 b \,e^{2} \ln \left(c \right) \ln \left(e x +d \right)}{d^{9}}+\frac{28 b \,e^{2} \ln \left(c \right) \ln \left(x \right)}{d^{9}}+\frac{7 b e \ln \left(c \right)}{d^{8} x}+\frac{28 b \,e^{2} \ln \left(x \right) \ln \left(x^{n}\right)}{d^{9}}+\frac{7 b e \ln \left(x^{n}\right)}{d^{8} x}-\frac{28 b \,e^{2} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{9}}+\frac{21 b \,e^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) d^{8}}+\frac{15 b \,e^{2} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} d^{7}}+\frac{10 b \,e^{2} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} d^{6}}+\frac{3 b \,e^{2} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{4} d^{5}}+\frac{3 b \,e^{2} \ln \left(x^{n}\right)}{5 \left(e x +d \right)^{5} d^{4}}+\frac{b \,e^{2} \ln \left(x^{n}\right)}{6 \left(e x +d \right)^{6} d^{3}}-\frac{14 b \,e^{2} n \ln \left(x \right)^{2}}{d^{9}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{4} d^{5}}+\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{4} d^{5}}+\frac{5 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3 \left(e x +d \right)^{3} d^{6}}+\frac{5 i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3 \left(e x +d \right)^{3} d^{6}}+\frac{15 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{7}}+\frac{15 i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e x +d \right)^{2} d^{7}}+\frac{21 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{8}}+\frac{21 i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d^{8}}+\frac{14 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{d^{9}}-\frac{14 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{d^{9}}+\frac{14 i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{d^{9}}-\frac{14 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 +d \right)}{d^{9}}+\frac{7 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{8} x}+\frac{7 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{8} 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)}{4 d^{7} x^{2}}-\frac{15 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)}{4 \left(e x +d \right)^{2} d^{7}}-\frac{21 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)}{2 \left(e x +d \right) d^{8}}-\frac{14 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(x \right)}{d^{9}}+\frac{14 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 +d \right)}{d^{9}}-\frac{7 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)}{2 d^{8} x}-\frac{b n}{4 d^{7} x^{2}}+\frac{28 b \,e^{2} n \dilog \left(-\frac{e x}{d}\right)}{d^{9}}-\frac{341 b \,e^{2} n \ln \left(x \right)}{10 d^{9}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d^{7} x^{2}}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12 \left(e x +d \right)^{6} d^{3}}-\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10 \left(e x +d \right)^{5} d^{4}}-\frac{3 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{4} d^{5}}-\frac{5 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{3 \left(e x +d \right)^{3} d^{6}}-\frac{15 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} d^{7}}-\frac{21 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) d^{8}}-\frac{14 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{d^{9}}+\frac{14 i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{d^{9}}-\frac{7 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{8} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{7} x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{7} x^{2}}-\frac{b \,e^{2} n}{30 \left(e x +d \right)^{5} d^{4}}-\frac{23 b \,e^{2} n}{120 \left(e x +d \right)^{4} d^{5}}-\frac{34 b \,e^{2} n}{45 \left(e x +d \right)^{3} d^{6}}-\frac{14 b \,e^{2} n}{5 \left(e x +d \right)^{2} d^{7}}-\frac{131 b \,e^{2} n}{10 \left(e x +d \right) d^{8}}"," ",0,"1/4*I*b*Pi*csgn(I*c*x^n)^3/d^7/x^2-1/2*b*ln(x^n)/d^7/x^2+1/6*a*e^2/d^3/(e*x+d)^6+28*a/d^9*e^2*ln(x)-28*a/d^9*e^2*ln(e*x+d)+7*a/d^8*e/x+21*a/d^8*e^2/(e*x+d)+15/2*a*e^2/d^7/(e*x+d)^2+10/3*a*e^2/d^6/(e*x+d)^3+3/2*a/d^5*e^2/(e*x+d)^4+3/5*a/d^4*e^2/(e*x+d)^5-1/2*b*ln(c)/d^7/x^2+15/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^7/(e*x+d)^2+7*b*e*n/d^8/x-14*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^9*e^2*ln(x)-1/2*a/d^7/x^2-15/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^7/(e*x+d)^2-21/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^8*e^2/(e*x+d)-5/3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^6/(e*x+d)^3-3/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^5*e^2/(e*x+d)^4+14*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^9*e^2*ln(e*x+d)-1/12*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3/(e*x+d)^6+28*b*n/d^9*e^2*ln(e*x+d)*ln(-1/d*e*x)+14*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^9*e^2*ln(x)-14*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^9*e^2*ln(e*x+d)-3/10*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*e^2/(e*x+d)^5+3/10*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*e^2/(e*x+d)^5+7/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^8*e/x+3/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^5*e^2/(e*x+d)^4+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^7/x^2+341/10*b*e^2*n*ln(e*x+d)/d^9-5/3*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^6/(e*x+d)^3-14*I*b*Pi*csgn(I*c*x^n)^3/d^9*e^2*ln(x)+14*I*b*Pi*csgn(I*c*x^n)^3/d^9*e^2*ln(e*x+d)-21/2*I*b*Pi*csgn(I*c*x^n)^3/d^8*e^2/(e*x+d)-15/4*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^7/(e*x+d)^2-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^7/x^2-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^7/x^2-3/4*I*b*Pi*csgn(I*c*x^n)^3/d^5*e^2/(e*x+d)^4-3/10*I*b*Pi*csgn(I*c*x^n)^3/d^4*e^2/(e*x+d)^5-1/12*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3/(e*x+d)^6-7/2*I*b*Pi*csgn(I*c*x^n)^3/d^8*e/x-7/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^8*e/x+7/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^8*e/x+15/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^7/(e*x+d)^2+5/3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^6/(e*x+d)^3+21/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^8*e^2/(e*x+d)+21/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^8*e^2/(e*x+d)+21*b*ln(c)/d^8*e^2/(e*x+d)+15/2*b*ln(c)*e^2/d^7/(e*x+d)^2+10/3*b*ln(c)*e^2/d^6/(e*x+d)^3+3/2*b*ln(c)/d^5*e^2/(e*x+d)^4+3/5*b*ln(c)/d^4*e^2/(e*x+d)^5+1/6*b*ln(c)*e^2/d^3/(e*x+d)^6-28*b*ln(c)/d^9*e^2*ln(e*x+d)+28*b*ln(c)/d^9*e^2*ln(x)+7*b*ln(c)/d^8*e/x+28*b*ln(x^n)/d^9*e^2*ln(x)+7*b*ln(x^n)/d^8*e/x-28*b*ln(x^n)/d^9*e^2*ln(e*x+d)+21*b*ln(x^n)/d^8*e^2/(e*x+d)+15/2*b*ln(x^n)*e^2/d^7/(e*x+d)^2+10/3*b*ln(x^n)*e^2/d^6/(e*x+d)^3+3/2*b*ln(x^n)/d^5*e^2/(e*x+d)^4+3/5*b*ln(x^n)/d^4*e^2/(e*x+d)^5+1/6*b*ln(x^n)*e^2/d^3/(e*x+d)^6-14*b*n/d^9*e^2*ln(x)^2+28*b*n/d^9*e^2*dilog(-1/d*e*x)+1/12*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3/(e*x+d)^6+5/3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^6/(e*x+d)^3+1/12*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3/(e*x+d)^6+3/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^5*e^2/(e*x+d)^4+3/10*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*e^2/(e*x+d)^5-14*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^9*e^2*ln(e*x+d)+14*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^9*e^2*ln(x)-1/4*b*n/d^7/x^2-341/10*b*e^2*n*ln(x)/d^9-1/30*b*e^2*n/d^4/(e*x+d)^5-23/120*b*e^2*n/d^5/(e*x+d)^4-34/45*b*e^2*n/d^6/(e*x+d)^3-14/5*b*e^2*n/d^7/(e*x+d)^2-131/10*b*e^2*n/d^8/(e*x+d)","C"
74,1,9,12,0.036000," ","int(ln(c*x)/(-c*x+1),x)","\frac{\dilog \left(c x \right)}{c}"," ",0,"1/c*dilog(c*x)","A"
75,1,7,10,0.033000," ","int(ln(x/c)/(c-x),x)","\dilog \left(\frac{x}{c}\right)"," ",0,"dilog(x/c)","A"
76,1,1622,97,0.284000," ","int(x^2*(e*x+d)*(b*ln(c*x^n)+a)^2,x)","-\frac{2 a b d n \,x^{3}}{9}-\frac{a b e n \,x^{4}}{8}-\frac{\pi^{2} b^{2} e \,x^{4} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{16}+\frac{\pi^{2} b^{2} e \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{8}-\frac{2 b^{2} d n \,x^{3} \ln \left(c \right)}{9}+\frac{2 a b d \,x^{3} \ln \left(c \right)}{3}-\frac{b^{2} e n \,x^{4} \ln \left(c \right)}{8}+\frac{a b e \,x^{4} \ln \left(c \right)}{2}-\frac{\pi^{2} b^{2} e \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}}{16}-\frac{\pi^{2} b^{2} d \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}}{12}+\frac{\left(-18 i \pi  b e \,x^{4} \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 \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b e \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 i \pi  b e \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-24 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)+24 i \pi  b d \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+24 i \pi  b d \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-24 i \pi  b d \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-9 b e n \,x^{4}+36 b e \,x^{4} \ln \left(c \right)+36 a e \,x^{4}-16 b d n \,x^{3}+48 b d \,x^{3} \ln \left(c \right)+48 a d \,x^{3}\right) b \ln \left(x^{n}\right)}{72}+\frac{b^{2} d \,x^{3} \ln \left(c \right)^{2}}{3}+\frac{b^{2} e \,x^{4} \ln \left(c \right)^{2}}{4}+\frac{a^{2} e \,x^{4}}{4}+\frac{\left(3 e x +4 d \right) b^{2} x^{3} \ln \left(x^{n}\right)^{2}}{12}+\frac{a^{2} d \,x^{3}}{3}+\frac{2 b^{2} d \,n^{2} x^{3}}{27}+\frac{b^{2} e \,n^{2} x^{4}}{32}+\frac{i \pi  \,b^{2} e n \,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^{2} e \,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(c \right)}{4}-\frac{i \pi  a b e \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4}-\frac{\pi^{2} b^{2} e \,x^{4} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{16}-\frac{\pi^{2} b^{2} d \,x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{12}+\frac{\pi^{2} b^{2} d \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{6}-\frac{i \pi  a 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)}{3}-\frac{\pi^{2} b^{2} e \,x^{4} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}+\frac{\pi^{2} b^{2} e \,x^{4} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}+\frac{\pi^{2} b^{2} e \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{\pi^{2} b^{2} e \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{4}-\frac{\pi^{2} b^{2} d \,x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}+\frac{\pi^{2} b^{2} d \,x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}+\frac{\pi^{2} b^{2} d \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}-\frac{\pi^{2} b^{2} d \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{3}+\frac{i \pi  \,b^{2} e n \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16}-\frac{i \pi  \,b^{2} e \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)}{4}-\frac{i \pi  a b e \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}+\frac{i \pi  \,b^{2} d n \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{9}-\frac{i \pi  \,b^{2} d \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)}{3}+\frac{i \pi  \,b^{2} d n \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{9}+\frac{i \pi  a b e \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  a b e \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{i \pi  \,b^{2} d n \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{9}-\frac{i \pi  \,b^{2} d n \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{9}+\frac{i \pi  \,b^{2} e \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)}{4}+\frac{i \pi  \,b^{2} e \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)}{4}-\frac{i \pi  \,b^{2} e n \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}-\frac{i \pi  \,b^{2} e n \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}+\frac{i \pi  \,b^{2} d \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)}{3}-\frac{\pi^{2} b^{2} d \,x^{3} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{12}+\frac{\pi^{2} b^{2} d \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{6}+\frac{\pi^{2} b^{2} e \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{8}+\frac{i \pi  a b d \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3}-\frac{i \pi  \,b^{2} d \,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(c \right)}{3}-\frac{i \pi  a b d \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{3}+\frac{i \pi  \,b^{2} d \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)}{3}+\frac{i \pi  a b d \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3}"," ",0,"-2/9*a*b*d*n*x^3-1/8*a*b*e*n*x^4-2/9*ln(c)*b^2*d*n*x^3+2/3*ln(c)*a*b*d*x^3-1/8*ln(c)*b^2*e*n*x^4+1/2*ln(c)*a*b*e*x^4+1/72*b*(18*I*Pi*b*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-18*I*Pi*b*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-18*I*Pi*b*e*x^4*csgn(I*c*x^n)^3+18*I*Pi*b*e*x^4*csgn(I*c*x^n)^2*csgn(I*c)+36*b*e*x^4*ln(c)-9*b*e*n*x^4+36*a*e*x^4+24*I*Pi*b*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-24*I*Pi*b*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-24*I*Pi*b*d*x^3*csgn(I*c*x^n)^3+24*I*Pi*b*d*x^3*csgn(I*c*x^n)^2*csgn(I*c)+48*b*d*x^3*ln(c)-16*b*d*n*x^3+48*a*d*x^3)*ln(x^n)+1/3*ln(c)^2*b^2*d*x^3+1/4*ln(c)^2*b^2*e*x^4-1/4*I*Pi*a*b*e*x^4*csgn(I*c*x^n)^3-1/3*I*ln(c)*Pi*b^2*d*x^3*csgn(I*c*x^n)^3+1/4*a^2*e*x^4+1/12*b^2*x^3*(3*e*x+4*d)*ln(x^n)^2+1/3*a^2*d*x^3+1/3*I*Pi*a*b*d*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I*ln(c)*Pi*b^2*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1/9*I*Pi*b^2*d*n*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-1/9*I*Pi*b^2*d*n*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/3*I*Pi*a*b*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*Pi^2*b^2*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)^5+1/6*Pi^2*b^2*d*x^3*csgn(I*c*x^n)^5*csgn(I*c)-1/12*Pi^2*b^2*d*x^3*csgn(I*c*x^n)^4*csgn(I*c)^2+1/9*I*Pi*b^2*d*n*x^3*csgn(I*c*x^n)^3-1/3*I*Pi*a*b*d*x^3*csgn(I*c*x^n)^3-1/4*I*ln(c)*Pi*b^2*e*x^4*csgn(I*c*x^n)^3-1/12*Pi^2*b^2*d*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-1/16*Pi^2*b^2*e*x^4*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/8*Pi^2*b^2*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^5+1/8*Pi^2*b^2*e*x^4*csgn(I*c*x^n)^5*csgn(I*c)-1/16*Pi^2*b^2*e*x^4*csgn(I*c*x^n)^4*csgn(I*c)^2-1/12*Pi^2*b^2*d*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/9*I*Pi*b^2*d*n*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*I*Pi*a*b*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/16*Pi^2*b^2*e*x^4*csgn(I*c*x^n)^6-1/12*Pi^2*b^2*d*x^3*csgn(I*c*x^n)^6-1/16*I*Pi*b^2*e*n*x^4*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I*Pi*a*b*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*Pi*a*b*e*x^4*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I*ln(c)*Pi*b^2*e*x^4*csgn(I*c*x^n)^2*csgn(I*c)-1/16*I*Pi*b^2*e*n*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1/3*I*ln(c)*Pi*b^2*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/3*I*ln(c)*Pi*b^2*d*x^3*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I*Pi*a*b*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*I*ln(c)*Pi*b^2*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*ln(c)*Pi*b^2*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/16*I*Pi*b^2*e*n*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2/27*b^2*d*n^2*x^3+1/32*b^2*e*n^2*x^4-1/16*Pi^2*b^2*e*x^4*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-1/4*Pi^2*b^2*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/8*Pi^2*b^2*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-1/3*Pi^2*b^2*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/6*Pi^2*b^2*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+1/6*Pi^2*b^2*d*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+1/8*Pi^2*b^2*e*x^4*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+1/16*I*Pi*b^2*e*n*x^4*csgn(I*c*x^n)^3","C"
77,1,1621,97,0.270000," ","int(x*(e*x+d)*(b*ln(c*x^n)+a)^2,x)","-\frac{2 a b e n \,x^{3}}{9}-\frac{a b d n \,x^{2}}{2}-\frac{\pi^{2} b^{2} e \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}}{12}-\frac{\pi^{2} b^{2} d \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}}{8}+\frac{\left(-6 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 i \pi  b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b e \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 i \pi  b e \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-9 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)+9 i \pi  b d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  b d \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  b d \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 b e n \,x^{3}+12 b e \,x^{3} \ln \left(c \right)+12 a e \,x^{3}-9 b d n \,x^{2}+18 b d \,x^{2} \ln \left(c \right)+18 a d \,x^{2}\right) b \ln \left(x^{n}\right)}{18}+\frac{a^{2} e \,x^{3}}{3}+\frac{a^{2} d \,x^{2}}{2}+\frac{b^{2} e \,x^{3} \ln \left(c \right)^{2}}{3}+\frac{b^{2} d \,x^{2} \ln \left(c \right)^{2}}{2}+\frac{\left(2 e x +3 d \right) b^{2} x^{2} \ln \left(x^{n}\right)^{2}}{6}-\frac{2 b^{2} e n \,x^{3} \ln \left(c \right)}{9}+\frac{2 a b e \,x^{3} \ln \left(c \right)}{3}-\frac{b^{2} d n \,x^{2} \ln \left(c \right)}{2}+a b d \,x^{2} \ln \left(c \right)-\frac{\pi^{2} b^{2} e \,x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}+\frac{\pi^{2} b^{2} e \,x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}+\frac{\pi^{2} b^{2} e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}-\frac{\pi^{2} b^{2} e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{3}-\frac{\pi^{2} b^{2} d \,x^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{\pi^{2} b^{2} d \,x^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}+\frac{\pi^{2} b^{2} d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{\pi^{2} b^{2} 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}}{2}+\frac{i \pi  \,b^{2} e n \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{9}-\frac{i \pi  \,b^{2} e \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)}{3}-\frac{i \pi  a b e \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{3}+\frac{i \pi  \,b^{2} d n \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{i \pi  \,b^{2} d \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)}{2}-\frac{i \pi  a b d \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}+\frac{b^{2} d \,n^{2} x^{2}}{4}+\frac{2 b^{2} e \,n^{2} x^{3}}{27}-\frac{i \pi  \,b^{2} e n \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{9}-\frac{i \pi  \,b^{2} e n \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{9}+\frac{i \pi  \,b^{2} e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)}{3}+\frac{i \pi  \,b^{2} e \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)}{3}+\frac{i \pi  a b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3}+\frac{i \pi  a b e \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3}-\frac{i \pi  \,b^{2} d n \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{i \pi  \,b^{2} d n \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  \,b^{2} d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)}{2}+\frac{i \pi  \,b^{2} d \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)}{2}+\frac{i \pi  a b d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{i \pi  a b d \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  \,b^{2} d \,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(c \right)}{2}-\frac{i \pi  a 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)}{2}+\frac{i \pi  \,b^{2} e n \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{9}-\frac{i \pi  \,b^{2} 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(c \right)}{3}-\frac{i \pi  a 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)}{3}+\frac{i \pi  \,b^{2} d n \,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{\pi^{2} b^{2} e \,x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{12}+\frac{\pi^{2} b^{2} e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{6}-\frac{\pi^{2} b^{2} e \,x^{3} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{12}+\frac{\pi^{2} b^{2} e \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{6}-\frac{\pi^{2} b^{2} d \,x^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{8}+\frac{\pi^{2} b^{2} d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{4}-\frac{\pi^{2} b^{2} d \,x^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{8}+\frac{\pi^{2} b^{2} d \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{4}"," ",0,"-2/9*b*n*a*e*x^3-1/2*b*n*a*d*x^2+1/3*a^2*e*x^3+1/2*a^2*d*x^2+1/18*b*(6*I*Pi*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-6*I*Pi*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-6*I*Pi*b*e*x^3*csgn(I*c*x^n)^3+6*I*Pi*b*e*x^3*csgn(I*c*x^n)^2*csgn(I*c)+12*b*e*x^3*ln(c)-4*b*e*n*x^3+12*a*e*x^3+9*I*Pi*b*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-9*I*Pi*b*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-9*I*Pi*b*d*x^2*csgn(I*c*x^n)^3+9*I*Pi*b*d*x^2*csgn(I*c*x^n)^2*csgn(I*c)+18*b*d*x^2*ln(c)-9*b*d*n*x^2+18*a*d*x^2)*ln(x^n)+1/3*ln(c)^2*b^2*e*x^3+1/2*ln(c)^2*b^2*d*x^2+1/6*b^2*x^2*(2*e*x+3*d)*ln(x^n)^2-1/9*I*Pi*b^2*e*n*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/3*I*Pi*a*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-2/9*ln(c)*b^2*e*n*x^3+2/3*ln(c)*a*b*e*x^3-1/2*ln(c)*b^2*d*n*x^2+ln(c)*a*b*d*x^2+1/3*I*ln(c)*Pi*b^2*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*Pi^2*b^2*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-1/2*Pi^2*b^2*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/4*Pi^2*b^2*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+1/4*Pi^2*b^2*d*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-1/9*I*Pi*b^2*e*n*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-1/3*I*ln(c)*Pi*b^2*e*x^3*csgn(I*c*x^n)^3+1/9*I*Pi*b^2*e*n*x^3*csgn(I*c*x^n)^3-1/3*I*Pi*a*b*e*x^3*csgn(I*c*x^n)^3-1/2*I*ln(c)*Pi*b^2*d*x^2*csgn(I*c*x^n)^3+1/4*Pi^2*b^2*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)^5+1/4*Pi^2*b^2*d*x^2*csgn(I*c*x^n)^5*csgn(I*c)-1/8*Pi^2*b^2*d*x^2*csgn(I*c*x^n)^4*csgn(I*c)^2-1/12*Pi^2*b^2*e*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/6*Pi^2*b^2*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^5+1/6*Pi^2*b^2*e*x^3*csgn(I*c*x^n)^5*csgn(I*c)-1/12*Pi^2*b^2*e*x^3*csgn(I*c*x^n)^4*csgn(I*c)^2-1/8*Pi^2*b^2*d*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4-1/8*Pi^2*b^2*d*x^2*csgn(I*c*x^n)^6-1/12*Pi^2*b^2*e*x^3*csgn(I*c*x^n)^6+1/2*I*ln(c)*Pi*b^2*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*ln(c)*Pi*b^2*d*x^2*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I*Pi*b^2*d*n*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/3*I*Pi*a*b*e*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/3*I*ln(c)*Pi*b^2*e*x^3*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I*Pi*b^2*d*n*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*Pi*a*b*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*Pi*a*b*d*x^2*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*ln(c)*Pi*b^2*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*I*Pi*b^2*d*n*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*I*ln(c)*Pi*b^2*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/9*I*Pi*b^2*e*n*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*I*Pi*a*b*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*Pi*a*b*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*b^2*d*n^2*x^2+2/27*b^2*e*n^2*x^3-1/8*Pi^2*b^2*d*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2+1/4*I*Pi*b^2*d*n*x^2*csgn(I*c*x^n)^3+1/6*Pi^2*b^2*e*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-1/12*Pi^2*b^2*e*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-1/3*Pi^2*b^2*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)-1/2*I*Pi*a*b*d*x^2*csgn(I*c*x^n)^3","C"
78,1,1548,95,0.277000," ","int((e*x+d)*(b*ln(c*x^n)+a)^2,x)","-\frac{a b e n \,x^{2}}{2}+\frac{a^{2} e \,x^{2}}{2}+\frac{b^{2} e \,x^{2} \ln \left(c \right)^{2}}{2}+b^{2} d x \ln \left(c \right)^{2}+\frac{\left(e x +2 d \right) b^{2} x \ln \left(x^{n}\right)^{2}}{2}+a^{2} d x +\frac{\left(-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)+i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 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 i \pi  b d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b d x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-b e n \,x^{2}+2 b e \,x^{2} \ln \left(c \right)+2 a e \,x^{2}-4 b d n x +4 b d x \ln \left(c \right)+4 a d x \right) b \ln \left(x^{n}\right)}{2}+\frac{i \pi  a b e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-i \pi  \,b^{2} d n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  \,b^{2} d n x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  \,b^{2} d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+i \pi  \,b^{2} d x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+i \pi  a b d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  a b d x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-\frac{b^{2} e n \,x^{2} \ln \left(c \right)}{2}+a b e \,x^{2} \ln \left(c \right)+2 a b d x \ln \left(c \right)-2 b^{2} d n x \ln \left(c \right)-\frac{\pi^{2} b^{2} d x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{4}+\frac{\pi^{2} b^{2} d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{2}-\frac{\pi^{2} b^{2} d x \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{4}+\frac{\pi^{2} b^{2} d x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{2}-\frac{\pi^{2} b^{2} e \,x^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{8}+\frac{\pi^{2} b^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{4}-\frac{\pi^{2} b^{2} e \,x^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{8}+\frac{\pi^{2} b^{2} e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{4}-\frac{\pi^{2} b^{2} e \,x^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{\pi^{2} b^{2} e \,x^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}+\frac{\pi^{2} b^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{\pi^{2} b^{2} 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}}{2}-\frac{\pi^{2} b^{2} d x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{\pi^{2} b^{2} d x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}+\frac{\pi^{2} b^{2} d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}-\pi^{2} b^{2} d x \,\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^{2} e n \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{i \pi  \,b^{2} e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)}{2}-\frac{i \pi  \,b^{2} e n \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{i \pi  \,b^{2} e n \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  \,b^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)}{2}+\frac{i \pi  \,b^{2} e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)}{2}+\frac{i \pi  a b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+2 b^{2} d \,n^{2} x +\frac{b^{2} e \,n^{2} x^{2}}{4}-\frac{\pi^{2} b^{2} e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}}{8}-\frac{\pi^{2} b^{2} d x \mathrm{csgn}\left(i c \,x^{n}\right)^{6}}{4}+\frac{i \pi  \,b^{2} e n \,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^{2} 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(c \right)}{2}-\frac{i \pi  a 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)}{2}+i \pi  \,b^{2} d n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  \,b^{2} d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-i \pi  a b d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-\frac{i \pi  a b e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}+i \pi  \,b^{2} d n x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  \,b^{2} d x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-i \pi  a b d x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 a b d n x"," ",0,"-1/2*b*n*a*e*x^2+1/2*a^2*e*x^2+1/2*ln(c)^2*b^2*e*x^2+ln(c)^2*b^2*d*x+1/2*b^2*x*(e*x+2*d)*ln(x^n)^2+a^2*d*x+1/2*b*(I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*e*x^2*csgn(I*c*x^n)^3+I*Pi*b*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*x-2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-2*I*Pi*b*d*csgn(I*c*x^n)^3*x+2*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)*x+2*ln(c)*b*e*x^2-b*e*n*x^2+4*ln(c)*b*d*x+2*a*e*x^2-4*b*d*n*x+4*a*d*x)*ln(x^n)-1/2*b^2*n*ln(c)*e*x^2+ln(c)*a*b*e*x^2+2*ln(c)*a*b*d*x-2*b^2*n*ln(c)*d*x+1/2*I*ln(c)*Pi*b^2*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+I*ln(c)*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^2*x-I*b^2*n*Pi*d*csgn(I*x^n)*csgn(I*c*x^n)^2*x-I*b^2*n*Pi*d*csgn(I*c*x^n)^2*csgn(I*c)*x+I*ln(c)*Pi*b^2*d*csgn(I*c*x^n)^2*csgn(I*c)*x-Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*x+1/2*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*x-1/8*Pi^2*b^2*e*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2+I*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*x+I*Pi*a*b*d*csgn(I*c*x^n)^2*csgn(I*c)*x-I*ln(c)*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-I*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x+I*b^2*n*Pi*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-1/8*Pi^2*b^2*e*x^2*csgn(I*c*x^n)^6-1/4*Pi^2*b^2*d*csgn(I*c*x^n)^6*x-1/4*I*b^2*n*Pi*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I*b^2*n*Pi*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*Pi*a*b*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*ln(c)*Pi*b^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*Pi*a*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*b^2*n*Pi*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*ln(c)*Pi*b^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*Pi*a*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*Pi^2*b^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+1/2*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*x-1/4*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*x+2*b^2*d*n^2*x+1/4*b^2*e*n^2*x^2+1/4*Pi^2*b^2*e*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-1/2*Pi^2*b^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/2*Pi^2*b^2*d*csgn(I*c*x^n)^5*csgn(I*c)*x+1/4*Pi^2*b^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^5+1/4*Pi^2*b^2*e*x^2*csgn(I*c*x^n)^5*csgn(I*c)-1/4*Pi^2*b^2*d*csgn(I*c*x^n)^4*csgn(I*c)^2*x-1/8*Pi^2*b^2*e*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4-1/8*Pi^2*b^2*e*x^2*csgn(I*c*x^n)^4*csgn(I*c)^2-1/4*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^4*x+1/2*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^5*x-2*a*b*d*n*x-1/2*I*ln(c)*Pi*b^2*e*x^2*csgn(I*c*x^n)^3-1/2*I*Pi*a*b*e*x^2*csgn(I*c*x^n)^3+1/4*I*b^2*n*Pi*e*x^2*csgn(I*c*x^n)^3-I*ln(c)*Pi*b^2*d*csgn(I*c*x^n)^3*x-I*Pi*a*b*d*csgn(I*c*x^n)^3*x+I*b^2*n*Pi*d*csgn(I*c*x^n)^3*x","C"
79,1,1555,68,0.450000," ","int((e*x+d)*(b*ln(c*x^n)+a)^2/x,x)","\left(-i \pi  \,b^{2} 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)+i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+i \pi  \,b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-i \pi  \,b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)-i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  \,b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-b^{2} d n \ln \left(x \right)^{2}+2 b^{2} d \ln \left(c \right) \ln \left(x \right)-2 b^{2} e n x +2 b^{2} e x \ln \left(c \right)+2 a b d \ln \left(x \right)+2 a b e x \right) \ln \left(x^{n}\right)+\left(b^{2} d \ln \left(x \right)+b^{2} e x \right) \ln \left(x^{n}\right)^{2}+b^{2} d \ln \left(c \right)^{2} \ln \left(x \right)+b^{2} e x \ln \left(c \right)^{2}+\frac{b^{2} d \,n^{2} \ln \left(x \right)^{3}}{3}+a^{2} d \ln \left(x \right)+a^{2} e x +i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  \,b^{2} 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(c \right)-i \pi  a 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)-i \pi  a b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-\frac{\pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4} \ln \left(x \right)}{4}+\frac{\pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5} \ln \left(x \right)}{2}-\frac{\pi^{2} b^{2} d \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4} \ln \left(x \right)}{4}+\frac{\pi^{2} b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5} \ln \left(x \right)}{2}-\frac{\pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{4}+\frac{\pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{2}-\frac{\pi^{2} b^{2} e x \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{4}+\frac{\pi^{2} b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{2}-\frac{\pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{4}+\frac{\pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}+\frac{\pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-\pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4} \ln \left(x \right)-\frac{\pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{\pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}+\frac{\pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}-\pi^{2} b^{2} e x \,\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^{2} d n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)^{2}}{2}-i \pi  \,b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right) \ln \left(x \right)+i \pi  \,b^{2} e n x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  \,b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-i \pi  a b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)-i \pi  a b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-\frac{\pi^{2} b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{6} \ln \left(x \right)}{4}-\frac{\pi^{2} b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{6}}{4}+2 b^{2} e \,n^{2} x -2 b^{2} e n x \ln \left(c \right)+2 a b e x \ln \left(c \right)+2 a b d \ln \left(c \right) \ln \left(x \right)-b^{2} d n \ln \left(c \right) \ln \left(x \right)^{2}-a b d n \ln \left(x \right)^{2}+\frac{i \pi  \,b^{2} d n \,\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}}{2}-i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right) \ln \left(x \right)-\frac{i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)^{2}}{2}-\frac{i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)^{2}}{2}+i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right) \ln \left(x \right)+i \pi  \,b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right) \ln \left(x \right)-i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+i \pi  a b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+i \pi  a b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+i \pi  a b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  a b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 a b e n x"," ",0,"(b^2*e*x+b^2*d*ln(x))*ln(x^n)^2+(-b^2*d*n*ln(x)^2+I*Pi*ln(x)*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*ln(x)*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*ln(x)*b^2*d*csgn(I*c*x^n)^3+I*Pi*ln(x)*b^2*d*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b^2*e*x*csgn(I*c*x^n)^3+I*Pi*b^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)+2*ln(c)*ln(x)*b^2*d+2*ln(c)*b^2*e*x-2*b^2*n*e*x+2*ln(x)*a*b*d+2*a*b*e*x)*ln(x^n)+ln(x)*ln(c)^2*b^2*d+ln(c)^2*b^2*e*x+1/3*b^2*d*n^2*ln(x)^3+ln(x)*a^2*d-1/4*Pi^2*b^2*e*x*csgn(I*c*x^n)^6-1/4*ln(x)*Pi^2*b^2*d*csgn(I*c*x^n)^6+a^2*e*x+I*ln(x)*ln(c)*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^2-I*ln(c)*Pi*b^2*e*x*csgn(I*c*x^n)^3-I*Pi*a*b*e*x*csgn(I*c*x^n)^3+I*Pi*b^2*e*n*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*ln(x)*ln(c)*Pi*b^2*d*csgn(I*c*x^n)^3-I*ln(x)*Pi*a*b*d*csgn(I*c*x^n)^3+1/2*I*ln(x)^2*Pi*b^2*d*n*csgn(I*c*x^n)^3+1/2*Pi^2*b^2*e*x*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-I*ln(x)*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*ln(x)^2*Pi*b^2*d*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*a*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*ln(c)*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*ln(x)*ln(c)*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*b^2*e*n^2*x-2*ln(c)*b^2*e*n*x+2*ln(c)*a*b*e*x+2*ln(x)*ln(c)*a*b*d-ln(x)^2*ln(c)*b^2*d*n-ln(x)^2*a*b*n*d+I*Pi*a*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*ln(x)*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-ln(x)*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/2*ln(x)*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+I*Pi*b^2*e*n*x*csgn(I*c*x^n)^3+I*ln(x)*Pi*a*b*d*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b^2*e*n*x*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*ln(x)^2*Pi*b^2*d*n*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*ln(x)^2*Pi*b^2*d*n*csgn(I*c*x^n)^2*csgn(I*c)+I*ln(c)*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b^2*e*n*x*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*Pi^2*b^2*e*x*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-Pi^2*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/2*Pi^2*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+1/2*ln(x)*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+I*ln(c)*Pi*b^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)-2*a*b*e*n*x+I*ln(x)*ln(c)*Pi*b^2*d*csgn(I*c*x^n)^2*csgn(I*c)+I*ln(x)*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*Pi^2*b^2*e*x*csgn(I*c*x^n)^5*csgn(I*c)-1/4*Pi^2*b^2*e*x*csgn(I*c*x^n)^4*csgn(I*c)^2-1/4*ln(x)*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/2*ln(x)*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^5+1/2*ln(x)*Pi^2*b^2*d*csgn(I*c*x^n)^5*csgn(I*c)-1/4*ln(x)*Pi^2*b^2*d*csgn(I*c*x^n)^4*csgn(I*c)^2-1/4*Pi^2*b^2*e*x*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/2*Pi^2*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^5+I*Pi*a*b*e*x*csgn(I*c*x^n)^2*csgn(I*c)","C"
80,1,1544,70,0.429000," ","int((e*x+d)*(b*ln(c*x^n)+a)^2/x^2,x)","-\frac{\left(-e x \ln \left(x \right)+d \right) b^{2} \ln \left(x^{n}\right)^{2}}{x}-\frac{\left(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(x \right)-i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-i \pi  b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+i \pi  b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+b e n x \ln \left(x \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)+i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 b e x \ln \left(c \right) \ln \left(x \right)-2 a e x \ln \left(x \right)+2 b d n +2 b d \ln \left(c \right)+2 a d \right) b \ln \left(x^{n}\right)}{x}+\frac{3 \pi^{2} b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-24 a b d \ln \left(c \right)-24 b^{2} d n \ln \left(c \right)+12 a^{2} e x \ln \left(x \right)-12 a^{2} d -12 b^{2} d \ln \left(c \right)^{2}-24 b^{2} d \,n^{2}-24 a b d n -12 i \pi  a b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+12 i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 b^{2} e \,n^{2} x \ln \left(x \right)^{3}-6 i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)^{2}-6 i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)^{2}+12 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right) \ln \left(x \right)+12 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right) \ln \left(x \right)+12 i \pi  a b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+12 i \pi  a b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+12 b^{2} e x \ln \left(c \right)^{2} \ln \left(x \right)-3 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-12 i \pi  a b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+12 i \pi  a b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-12 i \pi  a 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(x \right)+6 i \pi  \,b^{2} e n x \,\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}-12 i \pi  \,b^{2} 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(c \right) \ln \left(x \right)+3 \pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-6 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}+3 \pi^{2} b^{2} d \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-6 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-12 i \pi  \,b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right) \ln \left(x \right)-3 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{6} \ln \left(x \right)+3 \pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 \pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+6 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)-12 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4} \ln \left(x \right)-3 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4} \ln \left(x \right)+6 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5} \ln \left(x \right)-3 \pi^{2} b^{2} e x \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4} \ln \left(x \right)+6 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5} \ln \left(x \right)-12 i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-12 i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-12 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)-12 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)-12 i \pi  a b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+12 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+12 i \pi  \,b^{2} d n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+12 i \pi  \,b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)+12 i \pi  a b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 i \pi  \,b^{2} e n x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)^{2}+24 a b e x \ln \left(c \right) \ln \left(x \right)-12 b^{2} e n x \ln \left(c \right) \ln \left(x \right)^{2}-12 a b e n x \ln \left(x \right)^{2}+12 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)}{12 x}"," ",0,"-b^2*(-e*x*ln(x)+d)/x*ln(x^n)^2-b*(I*Pi*b*e*x*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(x)-I*Pi*b*e*x*csgn(I*c)*csgn(I*c*x^n)^2*ln(x)-I*Pi*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(x)+I*Pi*b*e*x*csgn(I*c*x^n)^3*ln(x)+b*e*n*x*ln(x)^2-I*Pi*b*d*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*b*d*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*csgn(I*c*x^n)^3-2*b*e*x*ln(c)*ln(x)-2*a*e*x*ln(x)+2*b*d*n+2*b*d*ln(c)+2*a*d)/x*ln(x^n)+1/12*(3*Pi^2*b^2*d*csgn(I*c*x^n)^6-24*ln(c)*a*b*d-24*ln(c)*b^2*d*n-12*I*ln(x)*Pi*a*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x+6*I*ln(x)^2*Pi*b^2*e*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x+12*ln(x)*a^2*e*x-12*I*Pi*b^2*d*n*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*b^2*d*n*csgn(I*c*x^n)^2*csgn(I*c)-12*I*ln(c)*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*ln(c)*Pi*b^2*d*csgn(I*c*x^n)^2*csgn(I*c)-12*a^2*d-12*ln(c)^2*b^2*d-24*b^2*d*n^2-24*a*b*n*d+12*I*ln(x)*ln(c)*Pi*b^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x-12*I*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*a*b*d*csgn(I*c*x^n)^2*csgn(I*c)+4*b^2*e*n^2*ln(x)^3*x+12*I*Pi*a*b*d*csgn(I*c*x^n)^3+12*I*Pi*b^2*d*n*csgn(I*c*x^n)^3-3*ln(x)*Pi^2*b^2*e*csgn(I*c*x^n)^6*x-6*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+6*ln(x)*Pi^2*b^2*e*csgn(I*c*x^n)^5*csgn(I*c)*x-3*ln(x)*Pi^2*b^2*e*csgn(I*c*x^n)^4*csgn(I*c)^2*x+6*ln(x)*Pi^2*b^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*x+3*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2+12*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)-6*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+12*ln(x)*ln(c)^2*b^2*e*x-12*I*ln(x)*ln(c)*Pi*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x+3*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^4-6*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^5-6*Pi^2*b^2*d*csgn(I*c*x^n)^5*csgn(I*c)+3*Pi^2*b^2*d*csgn(I*c*x^n)^4*csgn(I*c)^2-3*ln(x)*Pi^2*b^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^4*x+6*ln(x)*Pi^2*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)^5*x-12*I*ln(x)*Pi*a*b*e*csgn(I*c*x^n)^3*x+6*I*ln(x)^2*Pi*b^2*e*n*csgn(I*c*x^n)^3*x+12*I*ln(c)*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+12*I*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+12*I*Pi*b^2*d*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-12*I*ln(x)*ln(c)*Pi*b^2*e*csgn(I*c*x^n)^3*x-3*ln(x)*Pi^2*b^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*x-12*ln(x)*Pi^2*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*x+6*ln(x)*Pi^2*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*x-6*I*ln(x)^2*Pi*b^2*e*n*csgn(I*x^n)*csgn(I*c*x^n)^2*x-6*I*ln(x)^2*Pi*b^2*e*n*csgn(I*c*x^n)^2*csgn(I*c)*x+12*I*ln(x)*Pi*a*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x+12*I*ln(x)*Pi*a*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x+12*I*ln(x)*ln(c)*Pi*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x+24*ln(x)*ln(c)*a*b*e*x-12*ln(x)^2*ln(c)*b^2*e*n*x-12*ln(x)^2*a*b*n*e*x+12*I*ln(c)*Pi*b^2*d*csgn(I*c*x^n)^3)/x","C"
81,1,1483,97,0.242000," ","int((e*x+d)*(b*ln(c*x^n)+a)^2/x^3,x)","-\frac{\left(2 e x +d \right) b^{2} \ln \left(x^{n}\right)^{2}}{2 x^{2}}-\frac{\left(-2 i \pi  \,b^{2} e x \,\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^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  \,b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  \,b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  \,b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 b^{2} e n x +4 b^{2} e x \ln \left(c \right)+4 a b e x +b^{2} d n +2 b^{2} d \ln \left(c \right)+2 a b d \right) \ln \left(x^{n}\right)}{2 x^{2}}-\frac{-\pi^{2} b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{6}+8 a b d \ln \left(c \right)+4 b^{2} d n \ln \left(c \right)+8 b^{2} e x \ln \left(c \right)^{2}+4 a^{2} d +4 b^{2} d \ln \left(c \right)^{2}+2 b^{2} d \,n^{2}+4 a b d n +8 a^{2} e x -8 i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-8 i \pi  \,b^{2} 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(c \right)-8 i \pi  a 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 i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-2 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-2 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+4 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-2 \pi^{2} b^{2} e x \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+4 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-2 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-8 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-8 i \pi  \,b^{2} e n x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-8 i \pi  a b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-8 i \pi  \,b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)+16 b^{2} e \,n^{2} x +16 b^{2} e n x \ln \left(c \right)+16 a b e x \ln \left(c \right)+4 i \pi  a b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  a b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+8 i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+8 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+8 i \pi  a b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  a b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-\pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-\pi^{2} b^{2} d \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-\pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 \pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  a b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+16 a b e n x -4 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-2 i \pi  \,b^{2} d n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  \,b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-4 i \pi  a b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)}{8 x^{2}}"," ",0,"-1/2*b^2*(2*e*x+d)/x^2*ln(x^n)^2-1/2*(2*I*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*b^2*e*x*csgn(I*c*x^n)^3+2*I*Pi*b^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)+4*b^2*e*x*ln(c)+4*b^2*e*n*x+4*a*b*e*x+I*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b^2*d*csgn(I*c*x^n)^3+I*Pi*b^2*d*csgn(I*c*x^n)^2*csgn(I*c)+2*ln(c)*b^2*d+b^2*d*n+2*a*b*d)/x^2*ln(x^n)-1/8*(-Pi^2*b^2*d*csgn(I*c*x^n)^6+8*a*b*d*ln(c)+4*b^2*d*n*ln(c)+8*b^2*e*x*ln(c)^2+4*a^2*d+4*b^2*d*ln(c)^2-2*Pi^2*b^2*e*x*csgn(I*c*x^n)^6+2*b^2*d*n^2+4*a*b*d*n+8*a^2*e*x+2*I*Pi*b^2*d*n*csgn(I*c*x^n)^2*csgn(I*c)+4*I*ln(c)*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*ln(c)*Pi*b^2*d*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+8*I*ln(c)*Pi*b^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)-4*I*Pi*a*b*d*csgn(I*c*x^n)^3-2*I*Pi*b^2*d*n*csgn(I*c*x^n)^3-4*I*ln(c)*Pi*b^2*d*csgn(I*c*x^n)^3-4*I*ln(c)*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*b^2*d*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*Pi^2*b^2*d*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-8*I*Pi*a*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-8*I*ln(c)*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-8*I*Pi*b^2*e*n*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+8*I*n*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+8*I*n*Pi*b^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*a*b*d*csgn(I*c*x^n)^2*csgn(I*c)-8*I*Pi*b^2*e*n*x*csgn(I*c*x^n)^3+2*I*Pi*b^2*d*n*csgn(I*x^n)*csgn(I*c*x^n)^2+8*I*Pi*a*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+8*I*Pi*a*b*e*x*csgn(I*c*x^n)^2*csgn(I*c)-Pi^2*b^2*d*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-4*Pi^2*b^2*d*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+2*Pi^2*b^2*d*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+16*b^2*e*n^2*x+16*b^2*e*n*x*ln(c)+16*a*b*e*x*ln(c)+8*I*ln(c)*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^5+2*Pi^2*b^2*d*csgn(I*c)*csgn(I*c*x^n)^5-8*I*Pi*a*b*e*x*csgn(I*c*x^n)^3-8*I*ln(c)*Pi*b^2*e*x*csgn(I*c*x^n)^3-Pi^2*b^2*d*csgn(I*c)^2*csgn(I*c*x^n)^4-2*Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-8*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+4*Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+16*a*b*e*n*x+4*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*c*x^n)^5-2*Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*c*x^n)^4-2*Pi^2*b^2*e*x*csgn(I*x^n)^2*csgn(I*c*x^n)^4+4*Pi^2*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^5)/x^2","C"
82,1,1486,97,0.249000," ","int((e*x+d)*(b*ln(c*x^n)+a)^2/x^4,x)","-\frac{\left(3 e x +2 d \right) b^{2} \ln \left(x^{n}\right)^{2}}{6 x^{3}}-\frac{\left(-9 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+9 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  \,b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+6 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 i \pi  \,b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+9 b^{2} e n x +18 b^{2} e x \ln \left(c \right)+18 a b e x +4 b^{2} d n +12 b^{2} d \ln \left(c \right)+12 a b d \right) \ln \left(x^{n}\right)}{18 x^{3}}-\frac{-18 \pi^{2} b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{6}+144 a b d \ln \left(c \right)+48 b^{2} d n \ln \left(c \right)+108 b^{2} e x \ln \left(c \right)^{2}+72 a^{2} d +72 b^{2} d \ln \left(c \right)^{2}+16 b^{2} d \,n^{2}+48 a b d n +108 a^{2} e x -54 i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-108 i \pi  \,b^{2} 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(c \right)-108 i \pi  a b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-24 i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-27 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-27 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+54 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-27 \pi^{2} b^{2} e x \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+54 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-27 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+54 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+54 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-108 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-54 i \pi  \,b^{2} e n x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-108 i \pi  a b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-108 i \pi  \,b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)+54 b^{2} e \,n^{2} x +108 b^{2} e n x \ln \left(c \right)+216 a b e x \ln \left(c \right)+72 i \pi  a b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-72 i \pi  a b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+54 i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+54 i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+108 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+108 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+108 i \pi  a b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+108 i \pi  a b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 \pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+36 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-18 \pi^{2} b^{2} d \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+36 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-18 \pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 \pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+36 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+24 i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+24 i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+72 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+72 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+72 i \pi  a b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+108 a b e n x -72 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-24 i \pi  \,b^{2} d n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-72 i \pi  \,b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-72 i \pi  a b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-72 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)}{216 x^{3}}"," ",0,"-1/6*b^2*(3*e*x+2*d)/x^3*ln(x^n)^2-1/18*(9*I*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-9*I*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-9*I*Pi*b^2*e*x*csgn(I*c*x^n)^3+9*I*Pi*b^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)+18*b^2*e*x*ln(c)+9*b^2*e*n*x+18*a*b*e*x+6*I*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^2-6*I*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-6*I*Pi*b^2*d*csgn(I*c*x^n)^3+6*I*Pi*b^2*d*csgn(I*c*x^n)^2*csgn(I*c)+12*b^2*d*ln(c)+4*b^2*d*n+12*a*b*d)/x^3*ln(x^n)-1/216*(-18*Pi^2*b^2*d*csgn(I*c*x^n)^6+144*a*b*d*ln(c)+48*b^2*d*n*ln(c)+108*b^2*e*x*ln(c)^2+72*a^2*d+72*b^2*d*ln(c)^2-27*Pi^2*b^2*e*x*csgn(I*c*x^n)^6+16*b^2*d*n^2+48*a*b*d*n+108*a^2*e*x+36*Pi^2*b^2*d*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+54*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-108*I*ln(c)*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-54*I*Pi*b^2*e*n*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-108*I*Pi*a*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-18*Pi^2*b^2*d*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-72*Pi^2*b^2*d*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+36*Pi^2*b^2*d*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+54*b^2*e*n^2*x+108*b^2*e*n*x*ln(c)+216*a*b*e*x*ln(c)+54*I*n*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+54*I*n*Pi*b^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)+108*I*Pi*a*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+108*I*Pi*a*b*e*x*csgn(I*c*x^n)^2*csgn(I*c)+108*I*ln(c)*Pi*b^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)-72*I*ln(c)*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-72*I*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-24*I*Pi*b^2*d*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+108*I*ln(c)*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-18*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^4+36*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^5+36*Pi^2*b^2*d*csgn(I*c)*csgn(I*c*x^n)^5-18*Pi^2*b^2*d*csgn(I*c)^2*csgn(I*c*x^n)^4-108*I*ln(c)*Pi*b^2*e*x*csgn(I*c*x^n)^3+24*I*Pi*b^2*d*n*csgn(I*x^n)*csgn(I*c*x^n)^2+24*I*Pi*b^2*d*n*csgn(I*c*x^n)^2*csgn(I*c)-54*I*Pi*b^2*e*n*x*csgn(I*c*x^n)^3-27*Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-108*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+54*Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+108*a*b*e*n*x+54*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*c*x^n)^5-27*Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*c*x^n)^4-27*Pi^2*b^2*e*x*csgn(I*x^n)^2*csgn(I*c*x^n)^4+54*Pi^2*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^5-72*I*ln(c)*Pi*b^2*d*csgn(I*c*x^n)^3-72*I*Pi*a*b*d*csgn(I*c*x^n)^3-24*I*Pi*b^2*d*n*csgn(I*c*x^n)^3+72*I*ln(c)*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^2+72*I*ln(c)*Pi*b^2*d*csgn(I*c*x^n)^2*csgn(I*c)+72*I*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+72*I*Pi*a*b*d*csgn(I*c*x^n)^2*csgn(I*c)-108*I*Pi*a*b*e*x*csgn(I*c*x^n)^3)/x^3","C"
83,1,1486,97,0.259000," ","int((e*x+d)*(b*ln(c*x^n)+a)^2/x^5,x)","-\frac{\left(4 e x +3 d \right) b^{2} \ln \left(x^{n}\right)^{2}}{12 x^{4}}-\frac{\left(-24 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+24 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+24 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-24 i \pi  \,b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-18 i \pi  \,b^{2} d \,\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^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 i \pi  \,b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+16 b^{2} e n x +48 b^{2} e x \ln \left(c \right)+48 a b e x +9 b^{2} d n +36 b^{2} d \ln \left(c \right)+36 a b d \right) \ln \left(x^{n}\right)}{72 x^{4}}-\frac{-54 \pi^{2} b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{6}+432 a b d \ln \left(c \right)+108 b^{2} d n \ln \left(c \right)+288 b^{2} e x \ln \left(c \right)^{2}+216 a^{2} d +216 b^{2} d \ln \left(c \right)^{2}+27 b^{2} d \,n^{2}+108 a b d n +288 a^{2} e x -96 i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-288 i \pi  \,b^{2} 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(c \right)-288 i \pi  a b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-54 i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-72 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-72 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+144 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-72 \pi^{2} b^{2} e x \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+144 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-72 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+144 \pi^{2} b^{2} e x \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+144 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-288 \pi^{2} b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-96 i \pi  \,b^{2} e n x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-288 i \pi  a b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-288 i \pi  \,b^{2} e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)+64 b^{2} e \,n^{2} x +192 b^{2} e n x \ln \left(c \right)+576 a b e x \ln \left(c \right)+216 i \pi  a b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-216 i \pi  a b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+96 i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+96 i \pi  \,b^{2} e n x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+288 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+288 i \pi  \,b^{2} e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+288 i \pi  a b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+288 i \pi  a b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-54 \pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+108 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-54 \pi^{2} b^{2} d \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+108 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-54 \pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+108 \pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+108 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+54 i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+54 i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+216 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+216 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+216 i \pi  a b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+192 a b e n x -216 \pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-54 i \pi  \,b^{2} d n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-216 i \pi  \,b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-216 i \pi  a b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-216 i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)}{864 x^{4}}"," ",0,"-1/12*b^2*(4*e*x+3*d)/x^4*ln(x^n)^2-1/72*(24*I*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-24*I*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-24*I*Pi*b^2*e*x*csgn(I*c*x^n)^3+24*I*Pi*b^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)+48*b^2*e*x*ln(c)+16*b^2*e*n*x+48*a*b*e*x+18*I*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^2-18*I*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-18*I*Pi*b^2*d*csgn(I*c*x^n)^3+18*I*Pi*b^2*d*csgn(I*c*x^n)^2*csgn(I*c)+36*b^2*d*ln(c)+9*b^2*d*n+36*a*b*d)/x^4*ln(x^n)-1/864*(-54*Pi^2*b^2*d*csgn(I*c*x^n)^6+432*a*b*d*ln(c)+108*b^2*d*n*ln(c)+288*b^2*e*x*ln(c)^2+216*a^2*d+216*b^2*d*ln(c)^2-72*Pi^2*b^2*e*x*csgn(I*c*x^n)^6+27*b^2*d*n^2+108*a*b*d*n+288*a^2*e*x-96*I*Pi*b^2*e*n*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+108*Pi^2*b^2*d*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+54*I*Pi*b^2*d*n*csgn(I*c*x^n)^2*csgn(I*c)+144*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-288*I*Pi*a*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-288*I*ln(c)*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+216*I*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+216*I*Pi*a*b*d*csgn(I*c*x^n)^2*csgn(I*c)-96*I*Pi*b^2*e*n*x*csgn(I*c*x^n)^3-54*Pi^2*b^2*d*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-216*Pi^2*b^2*d*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+108*Pi^2*b^2*d*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+64*b^2*e*n^2*x+192*b^2*e*n*x*ln(c)+576*a*b*e*x*ln(c)+96*I*n*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+96*I*n*Pi*b^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)+288*I*Pi*a*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+288*I*Pi*a*b*e*x*csgn(I*c*x^n)^2*csgn(I*c)+288*I*ln(c)*Pi*b^2*e*x*csgn(I*c*x^n)^2*csgn(I*c)-216*I*ln(c)*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-216*I*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-54*I*Pi*b^2*d*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+288*I*ln(c)*Pi*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-54*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^4+108*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^5+108*Pi^2*b^2*d*csgn(I*c)*csgn(I*c*x^n)^5-54*Pi^2*b^2*d*csgn(I*c)^2*csgn(I*c*x^n)^4-216*I*Pi*a*b*d*csgn(I*c*x^n)^3-54*I*Pi*b^2*d*n*csgn(I*c*x^n)^3-72*Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-288*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+144*Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-288*I*Pi*a*b*e*x*csgn(I*c*x^n)^3-288*I*ln(c)*Pi*b^2*e*x*csgn(I*c*x^n)^3+54*I*Pi*b^2*d*n*csgn(I*x^n)*csgn(I*c*x^n)^2+192*a*b*e*n*x+144*Pi^2*b^2*e*x*csgn(I*c)*csgn(I*c*x^n)^5-72*Pi^2*b^2*e*x*csgn(I*c)^2*csgn(I*c*x^n)^4-72*Pi^2*b^2*e*x*csgn(I*x^n)^2*csgn(I*c*x^n)^4+144*Pi^2*b^2*e*x*csgn(I*x^n)*csgn(I*c*x^n)^5-216*I*ln(c)*Pi*b^2*d*csgn(I*c*x^n)^3+216*I*ln(c)*Pi*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^2+216*I*ln(c)*Pi*b^2*d*csgn(I*c*x^n)^2*csgn(I*c))/x^4","C"
84,1,2597,160,0.316000," ","int(x^2*(e*x+d)^2*(b*ln(c*x^n)+a)^2,x)","\text{Expression too large to display}"," ",0,"1/30*b^2*x^3*(6*e^2*x^2+15*d*e*x+10*d^2)*ln(x^n)^2+1/3*ln(c)^2*b^2*d^2*x^3+1/5*ln(c)^2*b^2*e^2*x^5+1/2*a^2*d*e*x^4+1/3*a^2*d^2*x^3+1/900*b*(450*I*Pi*b*d*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-300*I*Pi*b*d^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-450*I*Pi*b*d*e*x^4*csgn(I*c*x^n)^3-300*I*Pi*b*d^2*x^3*csgn(I*c*x^n)^3+360*b*e^2*x^5*ln(c)-72*b*e^2*n*x^5+360*a*e^2*x^5-180*I*Pi*b*e^2*x^5*csgn(I*c*x^n)^3-450*I*Pi*b*d*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+180*I*Pi*b*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2+300*I*Pi*b*d^2*x^3*csgn(I*c*x^n)^2*csgn(I*c)+900*b*d*e*x^4*ln(c)-225*b*d*e*n*x^4+900*a*d*e*x^4-180*I*Pi*b*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+180*I*Pi*b*e^2*x^5*csgn(I*c*x^n)^2*csgn(I*c)+300*I*Pi*b*d^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+450*I*Pi*b*d*e*x^4*csgn(I*c*x^n)^2*csgn(I*c)+600*b*d^2*x^3*ln(c)-200*b*d^2*n*x^3+600*a*d^2*x^3)*ln(x^n)+1/5*a^2*e^2*x^5-1/3*I*Pi*a*b*d^2*x^3*csgn(I*c*x^n)^3-1/5*I*ln(c)*Pi*b^2*e^2*x^5*csgn(I*c*x^n)^3+1/25*I*Pi*b^2*e^2*n*x^5*csgn(I*c*x^n)^3-1/5*I*Pi*a*b*e^2*x^5*csgn(I*c*x^n)^3+1/4*Pi^2*b^2*d*e*x^4*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-2/9*ln(c)*b^2*d^2*n*x^3+2/3*ln(c)*a*b*d^2*x^3+1/2*ln(c)^2*b^2*d*e*x^4+2/5*ln(c)*a*b*e^2*x^5-2/25*ln(c)*b^2*e^2*n*x^5-2/9*a*b*d^2*n*x^3-2/25*a*b*e^2*n*x^5-1/4*ln(c)*b^2*d*e*n*x^4+ln(c)*a*b*d*e*x^4+1/10*Pi^2*b^2*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)^5+1/10*Pi^2*b^2*e^2*x^5*csgn(I*c*x^n)^5*csgn(I*c)-1/20*Pi^2*b^2*e^2*x^5*csgn(I*c*x^n)^4*csgn(I*c)^2-1/12*Pi^2*b^2*d^2*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/2*I*Pi*a*b*d*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*Pi*a*b*d*e*x^4*csgn(I*c*x^n)^2*csgn(I*c)-1/5*I*ln(c)*Pi*b^2*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2/27*b^2*d^2*n^2*x^3+2/125*b^2*e^2*n^2*x^5-1/2*I*Pi*a*b*d*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/20*Pi^2*b^2*e^2*x^5*csgn(I*c*x^n)^6-1/12*Pi^2*b^2*d^2*x^3*csgn(I*c*x^n)^6-1/2*I*ln(c)*Pi*b^2*d*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I*Pi*b^2*d*e*n*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/25*I*Pi*b^2*e^2*n*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/5*I*Pi*a*b*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/5*I*Pi*a*b*e^2*x^5*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*ln(c)*Pi*b^2*d*e*x^4*csgn(I*c*x^n)^3+1/8*I*Pi*b^2*d*e*n*x^4*csgn(I*c*x^n)^3-1/2*I*Pi*a*b*d*e*x^4*csgn(I*c*x^n)^3-1/8*Pi^2*b^2*d*e*x^4*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-1/2*Pi^2*b^2*d*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/4*Pi^2*b^2*d*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+1/5*I*ln(c)*Pi*b^2*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2+1/5*I*ln(c)*Pi*b^2*e^2*x^5*csgn(I*c*x^n)^2*csgn(I*c)-1/25*I*Pi*b^2*e^2*n*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2-1/25*I*Pi*b^2*e^2*n*x^5*csgn(I*c*x^n)^2*csgn(I*c)+1/5*I*Pi*a*b*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*ln(c)*Pi*b^2*d*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*ln(c)*Pi*b^2*d*e*x^4*csgn(I*c*x^n)^2*csgn(I*c)-1/8*I*Pi*b^2*d*e*n*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I*Pi*b^2*d*e*n*x^4*csgn(I*c*x^n)^2*csgn(I*c)+1/3*I*ln(c)*Pi*b^2*d^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/3*I*ln(c)*Pi*b^2*d^2*x^3*csgn(I*c*x^n)^2*csgn(I*c)-1/9*I*Pi*b^2*d^2*n*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-1/9*I*Pi*b^2*d^2*n*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/3*I*Pi*a*b*d^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/3*I*Pi*a*b*d^2*x^3*csgn(I*c*x^n)^2*csgn(I*c)-1/4*a*b*d*e*n*x^4-1/8*Pi^2*b^2*d*e*x^4*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/4*Pi^2*b^2*d*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^5+1/4*Pi^2*b^2*d*e*x^4*csgn(I*c*x^n)^5*csgn(I*c)-1/8*Pi^2*b^2*d*e*x^4*csgn(I*c*x^n)^4*csgn(I*c)^2+1/9*I*Pi*b^2*d^2*n*x^3*csgn(I*c*x^n)^3-1/3*I*ln(c)*Pi*b^2*d^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/9*I*Pi*b^2*d^2*n*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*I*Pi*a*b*d^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*I*ln(c)*Pi*b^2*d^2*x^3*csgn(I*c*x^n)^3+1/6*Pi^2*b^2*d^2*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-1/12*Pi^2*b^2*d^2*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-1/3*Pi^2*b^2*d^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/6*Pi^2*b^2*d^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+1/10*Pi^2*b^2*e^2*x^5*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-1/20*Pi^2*b^2*e^2*x^5*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-1/5*Pi^2*b^2*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/10*Pi^2*b^2*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-1/8*Pi^2*b^2*d*e*x^4*csgn(I*c*x^n)^6+1/6*Pi^2*b^2*d^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)^5+1/6*Pi^2*b^2*d^2*x^3*csgn(I*c*x^n)^5*csgn(I*c)-1/12*Pi^2*b^2*d^2*x^3*csgn(I*c*x^n)^4*csgn(I*c)^2-1/20*Pi^2*b^2*e^2*x^5*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/16*b^2*d*e*n^2*x^4","C"
85,1,2597,160,0.319000," ","int(x*(e*x+d)^2*(b*ln(c*x^n)+a)^2,x)","\text{Expression too large to display}"," ",0,"-1/8*b*n*a*e^2*x^4-1/2*b*n*a*d^2*x^2+1/3*Pi^2*b^2*d*e*x^3*csgn(I*c*x^n)^5*csgn(I*c)+1/12*b^2*x^2*(3*e^2*x^2+8*d*e*x+6*d^2)*ln(x^n)^2+1/4*ln(c)^2*b^2*e^2*x^4+1/2*ln(c)^2*b^2*d^2*x^2+1/4*a^2*e^2*x^4+1/72*b*(48*I*Pi*b*d*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-36*I*Pi*b*d^2*x^2*csgn(I*c*x^n)^3+18*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-36*I*Pi*b*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+36*b*e^2*x^4*ln(c)-9*b*e^2*n*x^4+36*a*e^2*x^4-48*I*Pi*b*d*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-18*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^3-48*I*Pi*b*d*e*x^3*csgn(I*c*x^n)^3+36*I*Pi*b*d^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+96*b*d*e*x^3*ln(c)-32*b*d*e*n*x^3+96*a*d*e*x^3+36*I*Pi*b*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-18*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+18*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)+48*I*Pi*b*d*e*x^3*csgn(I*c*x^n)^2*csgn(I*c)+72*b*d^2*x^2*ln(c)-36*b*d^2*n*x^2+72*a*d^2*x^2)*ln(x^n)+2/3*a^2*d*e*x^3+1/2*a^2*d^2*x^2-1/4*I*Pi*a*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*ln(c)*Pi*b^2*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*I*Pi*b^2*d^2*n*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/16*I*Pi*b^2*e^2*n*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1/16*I*Pi*b^2*e^2*n*x^4*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I*Pi*a*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-2/9*I*Pi*b^2*d*e*n*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-2/9*I*Pi*b^2*d*e*n*x^3*csgn(I*c*x^n)^2*csgn(I*c)+2/3*I*Pi*a*b*d*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+2/3*I*Pi*a*b*d*e*x^3*csgn(I*c*x^n)^2*csgn(I*c)-4/9*b*n*a*d*e*x^3+1/2*ln(c)*a*b*e^2*x^4-1/2*ln(c)*b^2*d^2*n*x^2+ln(c)*a*b*d^2*x^2+2/3*ln(c)^2*b^2*d*e*x^3-1/2*I*ln(c)*Pi*b^2*d^2*x^2*csgn(I*c*x^n)^3+1/4*I*Pi*b^2*d^2*n*x^2*csgn(I*c*x^n)^3-1/8*ln(c)*b^2*e^2*n*x^4-1/6*Pi^2*b^2*d*e*x^3*csgn(I*c*x^n)^4*csgn(I*c)^2+1/8*Pi^2*b^2*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-1/6*Pi^2*b^2*d*e*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/3*Pi^2*b^2*d*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^5-1/2*I*Pi*a*b*d^2*x^2*csgn(I*c*x^n)^3-1/4*I*ln(c)*Pi*b^2*e^2*x^4*csgn(I*c*x^n)^3+1/16*I*Pi*b^2*e^2*n*x^4*csgn(I*c*x^n)^3-1/4*I*Pi*a*b*e^2*x^4*csgn(I*c*x^n)^3-1/8*Pi^2*b^2*d^2*x^2*csgn(I*c*x^n)^6-1/16*Pi^2*b^2*e^2*x^4*csgn(I*c*x^n)^6-4/9*ln(c)*b^2*d*e*n*x^3+4/3*ln(c)*a*b*d*e*x^3-1/8*Pi^2*b^2*d^2*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/4*Pi^2*b^2*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^5+1/4*Pi^2*b^2*d^2*x^2*csgn(I*c*x^n)^5*csgn(I*c)-1/8*Pi^2*b^2*d^2*x^2*csgn(I*c*x^n)^4*csgn(I*c)^2-1/16*Pi^2*b^2*e^2*x^4*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/8*Pi^2*b^2*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^5+2/9*I*Pi*b^2*d*e*n*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2/3*I*Pi*a*b*d*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*b^2*d^2*n^2*x^2+1/32*b^2*e^2*n^2*x^4-2/3*I*ln(c)*Pi*b^2*d*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/16*I*Pi*b^2*e^2*n*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*Pi^2*b^2*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+1/8*Pi^2*b^2*e^2*x^4*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-1/16*Pi^2*b^2*e^2*x^4*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-1/4*Pi^2*b^2*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/3*Pi^2*b^2*d*e*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+1/2*I*Pi*a*b*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*Pi*a*b*d^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I*ln(c)*Pi*b^2*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*ln(c)*Pi*b^2*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)-1/6*Pi^2*b^2*d*e*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-2/3*Pi^2*b^2*d*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/3*Pi^2*b^2*d*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+1/4*I*Pi*a*b*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)-2/3*I*ln(c)*Pi*b^2*d*e*x^3*csgn(I*c*x^n)^3+2/9*I*Pi*b^2*d*e*n*x^3*csgn(I*c*x^n)^3-2/3*I*Pi*a*b*d*e*x^3*csgn(I*c*x^n)^3+1/2*I*ln(c)*Pi*b^2*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*ln(c)*Pi*b^2*d^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I*Pi*b^2*d^2*n*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I*Pi*b^2*d^2*n*x^2*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I*ln(c)*Pi*b^2*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*Pi^2*b^2*e^2*x^4*csgn(I*c*x^n)^5*csgn(I*c)-1/16*Pi^2*b^2*e^2*x^4*csgn(I*c*x^n)^4*csgn(I*c)^2-1/6*Pi^2*b^2*d*e*x^3*csgn(I*c*x^n)^6-1/2*I*Pi*a*b*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2/3*I*ln(c)*Pi*b^2*d*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+2/3*I*ln(c)*Pi*b^2*d*e*x^3*csgn(I*c*x^n)^2*csgn(I*c)+4/27*b^2*d*e*n^2*x^3+1/4*Pi^2*b^2*d^2*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-1/8*Pi^2*b^2*d^2*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-1/2*Pi^2*b^2*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)","C"
86,1,2565,161,0.418000," ","int((e*x+d)^2*(b*ln(c*x^n)+a)^2,x)","\text{Expression too large to display}"," ",0,"-2*b*n*a*d^2*x+1/3*ln(c)^2*b^2*e^2*x^3+ln(c)^2*b^2*d^2*x-1/9*b*(-9*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-9*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*e*x-3*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^2*csgn(I*c)+9*I*Pi*b*d^2*csgn(I*c*x^n)^3*e*x+9*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^3+3*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*Pi*b*e^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-9*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)*e*x+9*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e*x-9*I*Pi*b*d*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+3*I*Pi*b*e^3*x^3*csgn(I*c*x^n)^3+9*I*Pi*b*d*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-6*b*e^3*x^3*ln(c)+2*b*e^3*n*x^3-18*b*d*e^2*x^2*ln(c)-6*a*e^3*x^3+9*b*d*e^2*n*x^2+6*b*d^3*n*ln(x)-18*b*d^2*e*x*ln(c)-18*a*d*e^2*x^2+18*b*d^2*e*n*x-18*a*d^2*e*x)/e*ln(x^n)+1/3*(e*x+d)^3*b^2/e*ln(x^n)^2-2/9*b*n*a*e^2*x^3+1/3*a^2*e^2*x^3+a^2*d^2*x+a^2*d*e*x^2+1/3*b^2*d^3*n^2*ln(x)^2/e-1/12*e^2*Pi^2*b^2*x^3*csgn(I*c*x^n)^4*csgn(I*c)^2-1/4*e*Pi^2*b^2*d*x^2*csgn(I*c*x^n)^6-1/4*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4*x+1/2*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^5*x+1/2*Pi^2*b^2*d^2*csgn(I*c*x^n)^5*csgn(I*c)*x-1/4*Pi^2*b^2*d^2*csgn(I*c*x^n)^4*csgn(I*c)^2*x+2*ln(c)*a*b*d*e*x^2-ln(c)*b^2*d*e*n*x^2-1/4*e*Pi^2*b^2*d*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-e*Pi^2*b^2*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)-b*n*a*d*e*x^2-2/9*ln(c)*b^2*e^2*n*x^3+ln(c)^2*b^2*d*e*x^2+2/3*ln(c)*a*b*e^2*x^3-2*ln(c)*b^2*d^2*n*x+2*ln(c)*a*b*d^2*x-1/12*e^2*Pi^2*b^2*x^3*csgn(I*c*x^n)^6-1/4*Pi^2*b^2*d^2*csgn(I*c*x^n)^6*x-I*e*ln(c)*Pi*b^2*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*e*Pi*b^2*d*n*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*e*Pi*a*b*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/12*e^2*Pi^2*b^2*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/6*e^2*Pi^2*b^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)^5+1/6*e^2*Pi^2*b^2*x^3*csgn(I*c*x^n)^5*csgn(I*c)+2*b^2*d^2*n^2*x+2/27*b^2*e^2*n^2*x^3+1/2*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*x-1/4*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*x-Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*x+1/2*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*x+I*Pi*b^2*d^2*n*x*csgn(I*c*x^n)^3+1/6*e^2*Pi^2*b^2*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-1/12*e^2*Pi^2*b^2*x^3*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-1/3*e^2*Pi^2*b^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/6*e^2*Pi^2*b^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-1/4*e*Pi^2*b^2*d*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/2*e*Pi^2*b^2*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)^5+1/2*e*Pi^2*b^2*d*x^2*csgn(I*c*x^n)^5*csgn(I*c)-1/4*e*Pi^2*b^2*d*x^2*csgn(I*c*x^n)^4*csgn(I*c)^2-I*ln(c)*Pi*b^2*d^2*csgn(I*c*x^n)^3*x-I*Pi*a*b*d^2*csgn(I*c*x^n)^3*x+1/9*I*e^2*Pi*b^2*n*x^3*csgn(I*c*x^n)^3-1/3*I*e^2*Pi*a*b*x^3*csgn(I*c*x^n)^3-1/3*I*e^2*ln(c)*Pi*b^2*x^3*csgn(I*c*x^n)^3+1/2*e*Pi^2*b^2*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+I*ln(c)*Pi*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x+I*ln(c)*Pi*b^2*d^2*csgn(I*c*x^n)^2*csgn(I*c)*x+I*Pi*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x+I*Pi*a*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)*x+1/2*e*Pi^2*b^2*d*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-I*e*ln(c)*Pi*b^2*d*x^2*csgn(I*c*x^n)^3+1/3*I*e^2*Pi*a*b*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*e*Pi*b^2*d*n*x^2*csgn(I*c*x^n)^3+1/3*I*e^2*Pi*a*b*x^3*csgn(I*c*x^n)^2*csgn(I*c)-I*e*Pi*a*b*d*x^2*csgn(I*c*x^n)^3+1/3*I*e^2*ln(c)*Pi*b^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-1/9*I*e^2*Pi*b^2*n*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-1/9*I*e^2*Pi*b^2*n*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/3*I*e^2*ln(c)*Pi*b^2*x^3*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b^2*d^2*n*x*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b^2*d^2*n*x*csgn(I*c*x^n)^2*csgn(I*c)+1/2*b^2*d*e*n^2*x^2+I*Pi*b^2*d^2*n*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*e*ln(c)*Pi*b^2*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+I*e*ln(c)*Pi*b^2*d*x^2*csgn(I*c*x^n)^2*csgn(I*c)+I*e*Pi*a*b*d*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+I*e*Pi*a*b*d*x^2*csgn(I*c*x^n)^2*csgn(I*c)-I*ln(c)*Pi*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-I*Pi*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-1/3*I*e^2*ln(c)*Pi*b^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/9*I*e^2*Pi*b^2*n*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*e*Pi*b^2*d*n*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/3*I*e^2*Pi*a*b*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*e*Pi*b^2*d*n*x^2*csgn(I*c*x^n)^2*csgn(I*c)","C"
87,1,2543,129,0.512000," ","int((e*x+d)^2*(b*ln(c*x^n)+a)^2/x,x)","\text{Expression too large to display}"," ",0,"ln(x)*ln(c)^2*b^2*d^2+1/2*ln(c)^2*b^2*e^2*x^2+1/3*b^2*d^2*n^2*ln(x)^3+(1/2*b^2*e^2*x^2+2*b^2*d*e*x+b^2*d^2*ln(x))*ln(x^n)^2+(-b^2*d^2*n*ln(x)^2+1/2*I*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*ln(x)*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*ln(x)*b^2*d^2*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*ln(x)*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^3-2*I*Pi*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*b^2*d*e*x*csgn(I*c*x^n)^3+ln(c)*b^2*e^2*x^2-1/2*b^2*e^2*n*x^2+4*ln(c)*b^2*d*e*x+a*b*e^2*x^2-4*b^2*d*e*n*x+4*a*b*d*e*x+2*I*Pi*b^2*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*ln(x)*b^2*d^2*csgn(I*c*x^n)^3+1/2*I*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+2*I*Pi*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+2*ln(c)*ln(x)*b^2*d^2+2*ln(x)*a*b*d^2)*ln(x^n)+ln(x)*a^2*d^2+2*a^2*d*e*x-1/2*I*Pi*a*b*e^2*x^2*csgn(I*c*x^n)^3-I*ln(x)*Pi*ln(c)*b^2*d^2*csgn(I*c*x^n)^3-I*ln(x)*Pi*a*b*d^2*csgn(I*c*x^n)^3+1/2*I*Pi*b^2*d^2*n*csgn(I*c*x^n)^3*ln(x)^2+1/2*a^2*e^2*x^2-1/2*b*n*a*e^2*x^2+2*ln(x)*ln(c)*a*b*d^2+2*ln(c)^2*b^2*d*e*x+ln(c)*a*b*e^2*x^2-1/2*n*ln(c)*b^2*e^2*x^2-a*b*d^2*n*ln(x)^2-ln(c)*b^2*d^2*n*ln(x)^2+1/2*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-2*I*Pi*ln(c)*b^2*d*e*x*csgn(I*c*x^n)^3+1/2*I*Pi*a*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*Pi*b^2*d^2*n*csgn(I*c*x^n)^2*csgn(I*c)*ln(x)^2-I*ln(x)*Pi*ln(c)*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*ln(x)*Pi*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*a*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*ln(c)*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*I*n*Pi*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*Pi^2*b^2*e^2*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+1/2*ln(x)*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^5+1/2*ln(x)*Pi^2*b^2*d^2*csgn(I*c*x^n)^5*csgn(I*c)-1/4*ln(x)*Pi^2*b^2*d^2*csgn(I*c*x^n)^4*csgn(I*c)^2-1/2*Pi^2*b^2*d*e*x*csgn(I*x^n)^2*csgn(I*c*x^n)^4+Pi^2*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^5+I*ln(x)*Pi*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*b^2*e^2*n^2*x^2-1/8*Pi^2*b^2*e^2*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-1/2*Pi^2*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/4*Pi^2*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+Pi^2*b^2*d*e*x*csgn(I*c*x^n)^5*csgn(I*c)-1/2*Pi^2*b^2*d*e*x*csgn(I*c*x^n)^4*csgn(I*c)^2+1/2*ln(x)*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-1/4*ln(x)*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-1/4*ln(x)*Pi^2*b^2*d^2*csgn(I*c*x^n)^6-1/8*Pi^2*b^2*e^2*x^2*csgn(I*c*x^n)^6-4*a*b*d*e*n*x+2*I*Pi*a*b*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*Pi*b^2*d^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(x)^2+2*I*Pi*ln(c)*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+2*I*Pi*ln(c)*b^2*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I*n*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*Pi*a*b*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-2*I*Pi*a*b*d*e*x*csgn(I*c*x^n)^3-1/4*I*n*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+Pi^2*b^2*d*e*x*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-1/2*Pi^2*b^2*d*e*x*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2+4*b^2*d*e*n^2*x-1/2*I*Pi*b^2*d^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(x)^2+I*ln(x)*Pi*a*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+I*ln(x)*Pi*ln(c)*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+I*ln(x)*Pi*ln(c)*b^2*d^2*csgn(I*c*x^n)^2*csgn(I*c)-1/8*Pi^2*b^2*e^2*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/4*Pi^2*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^5+1/4*Pi^2*b^2*e^2*x^2*csgn(I*c*x^n)^5*csgn(I*c)-1/8*Pi^2*b^2*e^2*x^2*csgn(I*c*x^n)^4*csgn(I*c)^2-1/2*Pi^2*b^2*d*e*x*csgn(I*c*x^n)^6-1/4*ln(x)*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4-2*I*n*Pi*b^2*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)-2*I*n*Pi*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*Pi*a*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*I*Pi*a*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+4*ln(c)*a*b*d*e*x-4*n*ln(c)*b^2*d*e*x-2*Pi^2*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+Pi^2*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-1/4*I*n*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+2*I*n*Pi*b^2*d*e*x*csgn(I*c*x^n)^3-ln(x)*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/2*ln(x)*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+1/4*I*n*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^3-1/2*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*c*x^n)^3","C"
88,1,2521,131,0.559000," ","int((e*x+d)^2*(b*ln(c*x^n)+a)^2/x^2,x)","\text{Expression too large to display}"," ",0,"-b^2*(-2*d*e*x*ln(x)-e^2*x^2+d^2)/x*ln(x^n)^2-b*(I*Pi*b*e^2*x^2*csgn(I*c*x^n)^3+2*I*ln(x)*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x+2*I*ln(x)*Pi*b*d*e*csgn(I*c*x^n)^3*x-I*Pi*b*d^2*csgn(I*c*x^n)^3-I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*ln(x)*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x+I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-2*I*ln(x)*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x+2*b*d*e*n*x*ln(x)^2-4*b*d*e*x*ln(c)*ln(x)-2*b*e^2*x^2*ln(c)+2*b*e^2*n*x^2-4*a*d*e*x*ln(x)-2*a*e^2*x^2+2*b*d^2*ln(c)+2*b*d^2*n+2*a*d^2)/x*ln(x^n)+1/12*(12*b^2*e^2*x^2*ln(c)^2-6*ln(x)*Pi^2*b^2*d*e*csgn(I*x^n)^2*csgn(I*c*x^n)^4*x-12*a^2*d^2-12*ln(c)^2*b^2*d^2-24*b^2*d^2*n^2+3*Pi^2*b^2*d^2*csgn(I*c*x^n)^6-24*ln(c)*a*b*d^2-24*ln(c)*b^2*d^2*n+12*a^2*e^2*x^2-24*a*b*n*d^2-24*a*b*e^2*n*x^2+24*I*ln(x)*ln(c)*Pi*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x+24*I*ln(x)*ln(c)*Pi*b^2*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x+24*I*ln(x)*Pi*a*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x+24*ln(x)*a^2*d*e*x+24*a*b*e^2*x^2*ln(c)-24*b^2*e^2*n*x^2*ln(c)-24*I*ln(x)*ln(c)*Pi*b^2*d*e*csgn(I*c*x^n)^3*x-24*I*ln(x)*Pi*a*b*d*e*csgn(I*c*x^n)^3*x+12*I*Pi*b^2*d*e*n*csgn(I*c*x^n)^3*ln(x)^2*x+12*I*n*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-24*I*ln(x)*ln(c)*Pi*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-12*I*Pi*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*a*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+12*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+12*I*Pi*a*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+6*Pi^2*b^2*e^2*x^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+24*I*ln(x)*Pi*a*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x-12*I*Pi*b^2*d*e*n*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(x)^2*x+12*I*ln(c)*Pi*b^2*d^2*csgn(I*c*x^n)^3+12*I*Pi*a*b*d^2*csgn(I*c*x^n)^3+12*I*Pi*b^2*d^2*n*csgn(I*c*x^n)^3-6*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+48*ln(x)*ln(c)*a*b*d*e*x-24*a*b*d*e*n*ln(x)^2*x-24*ln(c)*b^2*d*e*n*ln(x)^2*x-24*I*ln(x)*Pi*a*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x+12*I*Pi*b^2*d*e*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*ln(x)^2*x+24*ln(x)*ln(c)^2*b^2*d*e*x+8*b^2*d*e*n^2*ln(x)^3*x+24*b^2*e^2*n^2*x^2-12*I*Pi*a*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-12*I*Pi*b^2*d*e*n*csgn(I*c*x^n)^2*csgn(I*c)*ln(x)^2*x-3*Pi^2*b^2*e^2*x^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-12*Pi^2*b^2*e^2*x^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+6*Pi^2*b^2*e^2*x^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-12*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+12*ln(x)*Pi^2*b^2*d*e*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*x-6*ln(x)*Pi^2*b^2*d*e*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*x-24*ln(x)*Pi^2*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*x+12*ln(x)*Pi^2*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*x-12*I*ln(c)*Pi*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*ln(c)*Pi*b^2*d^2*csgn(I*c*x^n)^2*csgn(I*c)-12*I*Pi*b^2*d^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2+12*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)-6*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+3*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4-6*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^5-6*Pi^2*b^2*d^2*csgn(I*c*x^n)^5*csgn(I*c)+3*Pi^2*b^2*d^2*csgn(I*c*x^n)^4*csgn(I*c)^2-3*Pi^2*b^2*e^2*x^2*csgn(I*c*x^n)^6-6*ln(x)*Pi^2*b^2*d*e*csgn(I*c*x^n)^6*x+12*I*n*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^3-12*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*c*x^n)^3-12*I*Pi*a*b*e^2*x^2*csgn(I*c*x^n)^3-12*I*Pi*b^2*d^2*n*csgn(I*c*x^n)^2*csgn(I*c)+3*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-3*Pi^2*b^2*e^2*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+6*Pi^2*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^5+6*Pi^2*b^2*e^2*x^2*csgn(I*c)*csgn(I*c*x^n)^5-3*Pi^2*b^2*e^2*x^2*csgn(I*c)^2*csgn(I*c*x^n)^4+12*ln(x)*Pi^2*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)^5*x+12*ln(x)*Pi^2*b^2*d*e*csgn(I*c*x^n)^5*csgn(I*c)*x-6*ln(x)*Pi^2*b^2*d*e*csgn(I*c*x^n)^4*csgn(I*c)^2*x+12*I*ln(c)*Pi*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+12*I*Pi*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+12*I*Pi*b^2*d^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+12*I*Pi*a*b*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-12*I*n*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*n*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+12*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2)/x","C"
89,1,2520,129,0.512000," ","int((e*x+d)^2*(b*ln(c*x^n)+a)^2/x^3,x)","\text{Expression too large to display}"," ",0,"-1/2*b^2*(-2*e^2*x^2*ln(x)+4*d*e*x+d^2)/x^2*ln(x^n)^2-1/2*b*(-2*I*ln(x)*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*x^2-2*I*ln(x)*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^2-4*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*Pi*b*d*e*x*csgn(I*c*x^n)^3+4*I*Pi*b*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+2*I*ln(x)*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^2+2*I*ln(x)*Pi*b*e^2*csgn(I*c*x^n)^3*x^2+I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d^2*csgn(I*c*x^n)^3+I*Pi*b*d^2*csgn(I*c)*csgn(I*c*x^n)^2+4*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+2*b*e^2*n*x^2*ln(x)^2-4*b*e^2*x^2*ln(c)*ln(x)-4*a*e^2*x^2*ln(x)+8*b*d*e*x*ln(c)+8*b*d*e*n*x+2*b*d^2*ln(c)+8*a*d*e*x+b*d^2*n+2*a*d^2)/x^2*ln(x^n)+1/24*(-12*a^2*d^2-12*b^2*d^2*ln(c)^2+24*ln(x)*a^2*e^2*x^2-6*b^2*d^2*n^2-48*a^2*d*e*x+3*Pi^2*b^2*d^2*csgn(I*c*x^n)^6-24*a*b*d^2*ln(c)-12*b^2*d^2*n*ln(c)-12*a*b*d^2*n-6*ln(x)*Pi^2*b^2*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4*x^2+12*ln(x)*Pi^2*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)^5*x^2+12*ln(x)*Pi^2*b^2*e^2*csgn(I*c*x^n)^5*csgn(I*c)*x^2-48*b^2*d*e*x*ln(c)^2-48*I*Pi*a*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-48*I*Pi*a*b*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)+12*I*ln(x)^2*Pi*b^2*e^2*n*csgn(I*c*x^n)^3*x^2+6*I*Pi*b^2*d^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+48*I*Pi*a*b*d*e*x*csgn(I*c*x^n)^3+48*I*Pi*ln(c)*b^2*d*e*x*csgn(I*c*x^n)^3-12*I*Pi*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*a*b*d^2*csgn(I*c)*csgn(I*c*x^n)^2-24*I*ln(x)*ln(c)*Pi*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^2-24*I*ln(x)*Pi*a*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^2+12*I*ln(x)^2*Pi*b^2*e^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^2+48*I*Pi*a*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+12*I*Pi*b^2*d^2*csgn(I*c*x^n)^3*ln(c)+12*I*Pi*a*b*d^2*csgn(I*c*x^n)^3-6*Pi^2*b^2*d^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+12*ln(x)*Pi^2*b^2*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*x^2-6*ln(x)*Pi^2*b^2*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*x^2+48*I*Pi*b^2*d*e*n*x*csgn(I*c*x^n)^3-24*I*ln(x)*ln(c)*Pi*b^2*e^2*csgn(I*c*x^n)^3*x^2-24*I*ln(x)*Pi*a*b*e^2*csgn(I*c*x^n)^3*x^2-6*I*Pi*b^2*d^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-6*I*Pi*b^2*d^2*n*csgn(I*c*x^n)^2*csgn(I*c)-6*ln(x)*Pi^2*b^2*e^2*csgn(I*c*x^n)^4*csgn(I*c)^2*x^2+24*ln(x)*ln(c)^2*b^2*e^2*x^2+8*b^2*e^2*n^2*ln(x)^3*x^2+12*Pi^2*b^2*d*e*x*csgn(I*x^n)^2*csgn(I*c*x^n)^4-24*Pi^2*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^5+24*I*ln(x)*ln(c)*Pi*b^2*e^2*csgn(I*c*x^n)^2*csgn(I*c)*x^2+24*I*ln(x)*Pi*a*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^2+24*I*ln(x)*Pi*a*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*x^2-12*I*ln(x)^2*Pi*b^2*e^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2*x^2+48*ln(x)*ln(c)*a*b*e^2*x^2-24*ln(x)^2*ln(c)*b^2*e^2*n*x^2-24*ln(x)^2*a*b*n*e^2*x^2+48*I*Pi*ln(c)*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+48*I*Pi*b^2*d*e*n*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-12*I*Pi*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)-12*I*Pi*b^2*d^2*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)-24*Pi^2*b^2*d*e*x*csgn(I*c)*csgn(I*c*x^n)^5+12*Pi^2*b^2*d*e*x*csgn(I*c)^2*csgn(I*c*x^n)^4+12*Pi^2*b^2*d^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4-6*Pi^2*b^2*d^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+3*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4-6*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^5-6*Pi^2*b^2*d^2*csgn(I*c)*csgn(I*c*x^n)^5+3*Pi^2*b^2*d^2*csgn(I*c)^2*csgn(I*c*x^n)^4-96*a*b*d*e*n*x-48*I*ln(c)*Pi*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-48*I*ln(c)*Pi*b^2*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)-48*I*Pi*b^2*d*e*n*x*csgn(I*x^n)*csgn(I*c*x^n)^2+24*I*ln(x)*ln(c)*Pi*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^2+3*Pi^2*b^2*d^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-24*ln(x)*Pi^2*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*x^2+12*ln(x)*Pi^2*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*x^2-6*ln(x)*Pi^2*b^2*e^2*csgn(I*c*x^n)^6*x^2-12*I*ln(x)^2*Pi*b^2*e^2*n*csgn(I*c*x^n)^2*csgn(I*c)*x^2-48*I*n*Pi*b^2*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)-24*Pi^2*b^2*d*e*x*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+12*Pi^2*b^2*d*e*x*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-96*b^2*d*e*n^2*x+12*Pi^2*b^2*d*e*x*csgn(I*c*x^n)^6-96*a*b*d*e*x*ln(c)-96*b^2*d*e*n*x*ln(c)+48*Pi^2*b^2*d*e*x*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4-24*Pi^2*b^2*d*e*x*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+12*I*Pi*b^2*d^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)+12*I*Pi*a*b*d^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+6*I*Pi*b^2*d^2*n*csgn(I*c*x^n)^3)/x^2","C"
90,1,2473,160,0.305000," ","int((e*x+d)^2*(b*ln(c*x^n)+a)^2/x^4,x)","\text{Expression too large to display}"," ",0,"-1/3*b^2*(3*e^2*x^2+3*d*e*x+d^2)/x^3*ln(x^n)^2-1/9*(-9*I*Pi*b^2*d*e*x*csgn(I*c*x^n)^3+3*I*Pi*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-9*I*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+9*I*Pi*b^2*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)+18*b^2*e^2*x^2*ln(c)+18*b^2*e^2*n*x^2+18*a*b*e^2*x^2-3*I*Pi*b^2*d^2*csgn(I*c*x^n)^3-9*I*Pi*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*Pi*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+9*I*Pi*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+18*b^2*d*e*x*ln(c)+9*b^2*d*e*n*x+18*a*b*d*e*x+3*I*Pi*b^2*d^2*csgn(I*c*x^n)^2*csgn(I*c)+9*I*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+9*I*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-9*I*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^3+6*ln(c)*b^2*d^2+2*b^2*d^2*n+6*a*b*d^2)/x^3*ln(x^n)-1/108*(108*b^2*e^2*x^2*ln(c)^2+36*a^2*d^2+36*b^2*d^2*ln(c)^2+8*b^2*d^2*n^2+108*a^2*d*e*x-9*Pi^2*b^2*d^2*csgn(I*c*x^n)^6+72*a*b*d^2*ln(c)+24*b^2*d^2*n*ln(c)+108*a^2*e^2*x^2+24*a*b*d^2*n+216*a*b*e^2*n*x^2+108*b^2*d*e*x*ln(c)^2+216*a*b*e^2*x^2*ln(c)+216*b^2*e^2*n*x^2*ln(c)+54*Pi^2*b^2*e^2*x^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-108*I*Pi*a*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-108*I*n*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+18*Pi^2*b^2*d^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+36*I*ln(c)*Pi*b^2*d^2*csgn(I*c*x^n)^2*csgn(I*c)+12*I*Pi*b^2*d^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*Pi*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*Pi*a*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+36*I*ln(c)*Pi*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-54*I*Pi*b^2*d*e*n*x*csgn(I*c*x^n)^3-36*I*ln(c)*Pi*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-27*Pi^2*b^2*d*e*x*csgn(I*x^n)^2*csgn(I*c*x^n)^4+54*Pi^2*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^5+216*b^2*e^2*n^2*x^2-108*I*Pi*a*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-108*I*Pi*ln(c)*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-54*I*Pi*b^2*d*e*n*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+108*I*Pi*a*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+108*I*Pi*a*b*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)-27*Pi^2*b^2*e^2*x^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-108*Pi^2*b^2*e^2*x^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+54*Pi^2*b^2*e^2*x^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+108*I*ln(c)*Pi*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+108*I*ln(c)*Pi*b^2*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)+54*I*Pi*b^2*d*e*n*x*csgn(I*x^n)*csgn(I*c*x^n)^2+54*Pi^2*b^2*d*e*x*csgn(I*c)*csgn(I*c*x^n)^5-27*Pi^2*b^2*d*e*x*csgn(I*c)^2*csgn(I*c*x^n)^4-36*Pi^2*b^2*d^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+18*Pi^2*b^2*d^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-9*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+18*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^5+18*Pi^2*b^2*d^2*csgn(I*c)*csgn(I*c*x^n)^5-9*Pi^2*b^2*d^2*csgn(I*c)^2*csgn(I*c*x^n)^4-36*I*Pi*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-12*I*Pi*b^2*d^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-108*I*Pi*a*b*d*e*x*csgn(I*c*x^n)^3+108*I*n*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-27*Pi^2*b^2*e^2*x^2*csgn(I*c*x^n)^6+108*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+108*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-108*I*Pi*ln(c)*b^2*d*e*x*csgn(I*c*x^n)^3+108*I*Pi*a*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+108*I*Pi*a*b*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+108*I*n*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+108*a*b*d*e*n*x-9*Pi^2*b^2*d^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-108*I*n*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^3-108*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*c*x^n)^3-108*I*Pi*a*b*e^2*x^2*csgn(I*c*x^n)^3+12*I*Pi*b^2*d^2*n*csgn(I*c*x^n)^2*csgn(I*c)+54*Pi^2*b^2*d*e*x*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-27*Pi^2*b^2*d*e*x*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2+54*b^2*d*e*n^2*x-27*Pi^2*b^2*e^2*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+54*Pi^2*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^5+54*Pi^2*b^2*e^2*x^2*csgn(I*c)*csgn(I*c*x^n)^5-27*Pi^2*b^2*e^2*x^2*csgn(I*c)^2*csgn(I*c*x^n)^4-27*Pi^2*b^2*d*e*x*csgn(I*c*x^n)^6+216*a*b*d*e*x*ln(c)+108*b^2*d*e*n*x*ln(c)-108*Pi^2*b^2*d*e*x*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+54*Pi^2*b^2*d*e*x*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-36*I*ln(c)*Pi*b^2*d^2*csgn(I*c*x^n)^3-36*I*Pi*a*b*d^2*csgn(I*c*x^n)^3-12*I*Pi*b^2*d^2*n*csgn(I*c*x^n)^3-108*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+54*I*n*Pi*b^2*d*e*x*csgn(I*c*x^n)^2*csgn(I*c))/x^3","C"
91,1,2475,160,0.327000," ","int((e*x+d)^2*(b*ln(c*x^n)+a)^2/x^5,x)","\text{Expression too large to display}"," ",0,"-1/12*b^2*(6*e^2*x^2+8*d*e*x+3*d^2)/x^4*ln(x^n)^2-1/72*(18*I*Pi*b^2*d^2*csgn(I*c*x^n)^2*csgn(I*c)-18*I*Pi*b^2*d^2*csgn(I*c*x^n)^3-48*I*Pi*b^2*d*e*x*csgn(I*c*x^n)^3+36*I*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+72*b^2*e^2*x^2*ln(c)+36*b^2*e^2*n*x^2+72*a*b*e^2*x^2-36*I*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-18*I*Pi*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+48*I*Pi*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-48*I*Pi*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+96*b^2*d*e*x*ln(c)+32*b^2*d*e*n*x+96*a*b*d*e*x+48*I*Pi*b^2*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)+18*I*Pi*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-36*I*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^3+36*I*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+36*b^2*d^2*ln(c)+9*b^2*d^2*n+36*a*b*d^2)/x^4*ln(x^n)-1/864*(432*b^2*e^2*x^2*ln(c)^2+216*a^2*d^2+216*b^2*d^2*ln(c)^2+27*b^2*d^2*n^2+576*a^2*d*e*x-54*Pi^2*b^2*d^2*csgn(I*c*x^n)^6+432*a*b*d^2*ln(c)+108*b^2*d^2*n*ln(c)+432*a^2*e^2*x^2+108*a*b*d^2*n+432*a*b*e^2*n*x^2-216*I*n*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^3-432*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*c*x^n)^3-432*I*Pi*a*b*e^2*x^2*csgn(I*c*x^n)^3+576*b^2*d*e*x*ln(c)^2+864*a*b*e^2*x^2*ln(c)+432*b^2*e^2*n*x^2*ln(c)-192*I*Pi*b^2*d*e*n*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-576*I*Pi*a*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+54*I*Pi*b^2*d^2*n*csgn(I*c*x^n)^2*csgn(I*c)+216*I*Pi*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+216*I*Pi*a*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+216*Pi^2*b^2*e^2*x^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-576*I*Pi*ln(c)*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+216*I*n*Pi*b^2*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-192*I*Pi*b^2*d*e*n*x*csgn(I*c*x^n)^3+108*Pi^2*b^2*d^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+54*I*Pi*b^2*d^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-144*Pi^2*b^2*d*e*x*csgn(I*x^n)^2*csgn(I*c*x^n)^4+288*Pi^2*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^5+216*b^2*e^2*n^2*x^2-216*I*ln(c)*Pi*b^2*d^2*csgn(I*c*x^n)^3-216*I*Pi*a*b*d^2*csgn(I*c*x^n)^3+576*I*ln(c)*Pi*b^2*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+576*I*ln(c)*Pi*b^2*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)+192*I*Pi*b^2*d*e*n*x*csgn(I*x^n)*csgn(I*c*x^n)^2-54*I*Pi*b^2*d^2*n*csgn(I*c*x^n)^3+216*I*ln(c)*Pi*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-108*Pi^2*b^2*e^2*x^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-432*Pi^2*b^2*e^2*x^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+216*I*ln(c)*Pi*b^2*d^2*csgn(I*c*x^n)^2*csgn(I*c)+216*Pi^2*b^2*e^2*x^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+288*Pi^2*b^2*d*e*x*csgn(I*c)*csgn(I*c*x^n)^5-144*Pi^2*b^2*d*e*x*csgn(I*c)^2*csgn(I*c*x^n)^4-216*Pi^2*b^2*d^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+108*Pi^2*b^2*d^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-54*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+108*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^5+108*Pi^2*b^2*d^2*csgn(I*c)*csgn(I*c*x^n)^5-54*Pi^2*b^2*d^2*csgn(I*c)^2*csgn(I*c*x^n)^4-108*Pi^2*b^2*e^2*x^2*csgn(I*c*x^n)^6+384*a*b*d*e*n*x+432*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-576*I*Pi*ln(c)*b^2*d*e*x*csgn(I*c*x^n)^3+432*I*Pi*a*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+432*I*Pi*a*b*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-54*I*Pi*b^2*d^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-576*I*Pi*a*b*d*e*x*csgn(I*c*x^n)^3+216*I*n*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+432*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-216*I*ln(c)*Pi*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-216*I*Pi*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+576*I*Pi*a*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2+576*I*Pi*a*b*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)-54*Pi^2*b^2*d^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2+288*Pi^2*b^2*d*e*x*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-144*Pi^2*b^2*d*e*x*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2+128*b^2*d*e*n^2*x-108*Pi^2*b^2*e^2*x^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+216*Pi^2*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^5+216*Pi^2*b^2*e^2*x^2*csgn(I*c)*csgn(I*c*x^n)^5-108*Pi^2*b^2*e^2*x^2*csgn(I*c)^2*csgn(I*c*x^n)^4-144*Pi^2*b^2*d*e*x*csgn(I*c*x^n)^6-432*I*Pi*ln(c)*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+192*I*n*Pi*b^2*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)-432*I*Pi*a*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-216*I*n*Pi*b^2*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1152*a*b*d*e*x*ln(c)+384*b^2*d*e*n*x*ln(c)-576*Pi^2*b^2*d*e*x*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+288*Pi^2*b^2*d*e*x*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3)/x^4","C"
92,0,0,259,0.722000," ","int(x^3*(b*ln(c*x^n)+a)^2/(e*x+d),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{3}}{e x +d}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)^2/(e*x+d),x)","F"
93,0,0,194,0.713000," ","int(x^2*(b*ln(c*x^n)+a)^2/(e*x+d),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{2}}{e x +d}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)^2/(e*x+d),x)","F"
94,0,0,130,0.677000," ","int(x*(b*ln(c*x^n)+a)^2/(e*x+d),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x}{e x +d}\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^2/(e*x+d),x)","F"
95,1,1412,72,0.358000," ","int((b*ln(c*x^n)+a)^2/(e*x+d),x)","\frac{i \pi  a b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{e}+\frac{b^{2} n^{2} \ln \left(x \right)^{2} \ln \left(\frac{e x}{d}+1\right)}{e}-\frac{2 b^{2} n^{2} \ln \left(x \right)^{2} \ln \left(\frac{e x +d}{d}\right)}{e}+\frac{b^{2} n^{2} \ln \left(x \right)^{2} \ln \left(e x +d \right)}{e}-\frac{2 b^{2} n \ln \left(x \right) \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e}+\frac{2 b^{2} n \ln \left(x \right) \ln \left(x^{n}\right) \ln \left(\frac{e x +d}{d}\right)}{e}-\frac{i \pi  \,b^{2} n \dilog \left(-\frac{e x}{d}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{e}-\frac{i \pi  \,b^{2} n \dilog \left(-\frac{e x}{d}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{e}+\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5} \ln \left(e x +d \right)}{2 e}-\frac{2 b^{2} n^{2} \polylog \left(3, -\frac{e x}{d}\right)}{e}-\frac{2 b^{2} n \ln \left(c \right) \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e}+\frac{b^{2} \ln \left(c \right)^{2} \ln \left(e x +d \right)}{e}+\frac{b^{2} \ln \left(x^{n}\right)^{2} \ln \left(e x +d \right)}{e}+\frac{a^{2} \ln \left(e x +d \right)}{e}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right) \ln \left(e x +d \right)}{e}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right) \ln \left(e x +d \right)}{e}-\frac{2 a b n \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e}+\frac{i \pi  \,b^{2} n \dilog \left(-\frac{e x}{d}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{e}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right) \ln \left(e x +d \right)}{e}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e}-\frac{i \pi  a 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 +d \right)}{e}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e}+\frac{2 a b \ln \left(c \right) \ln \left(e x +d \right)}{e}+\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{e}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{4 e}+\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 e}+\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 e}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4} \ln \left(e x +d \right)}{e}+\frac{i \pi  \,b^{2} n \dilog \left(-\frac{e x}{d}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{e}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right) \ln \left(e x +d \right)}{e}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e}-\frac{i \pi  a b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{e}-\frac{2 a b n \dilog \left(-\frac{e x}{d}\right)}{e}-\frac{2 b^{2} n \dilog \left(-\frac{e x}{d}\right) \ln \left(c \right)}{e}+\frac{2 b^{2} n \dilog \left(\frac{e x +d}{d}\right) \ln \left(x^{n}\right)}{e}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4} \ln \left(e x +d \right)}{4 e}+\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5} \ln \left(e x +d \right)}{2 e}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4} \ln \left(e x +d \right)}{4 e}+\frac{i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{e}-\frac{\pi^{2} b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6} \ln \left(e x +d \right)}{4 e}+\frac{2 b^{2} n^{2} \polylog \left(2, -\frac{e x}{d}\right) \ln \left(x \right)}{e}-\frac{2 b^{2} n^{2} \dilog \left(\frac{e x +d}{d}\right) \ln \left(x \right)}{e}+\frac{2 b^{2} \ln \left(c \right) \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e}+\frac{2 a b \ln \left(x^{n}\right) \ln \left(e x +d \right)}{e}"," ",0,"b^2*n^2/e*ln(x)^2*ln(1+1/d*e*x)+2*b^2*n^2/e*ln(x)*polylog(2,-1/d*e*x)-2*b^2*n^2*dilog((e*x+d)/d)/e*ln(x)-2*b^2*n^2*ln(x)^2*ln((e*x+d)/d)/e+b^2*ln(e*x+d)/e*n^2*ln(x)^2+I*ln(e*x+d)/e*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)+I*ln(e*x+d)/e*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2-2*b^2*ln(e*x+d)/e*ln(x)*ln(x^n)*n+2*b^2*n*ln(x)*ln((e*x+d)/d)/e*ln(x^n)+1/2*ln(e*x+d)/e*Pi^2*b^2*csgn(I*c*x^n)^5*csgn(I*c)-1/4*ln(e*x+d)/e*Pi^2*b^2*csgn(I*c*x^n)^4*csgn(I*c)^2+1/2*ln(e*x+d)/e*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-I/e*n*ln(e*x+d)*ln(-1/d*e*x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I/e*n*ln(e*x+d)*ln(-1/d*e*x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-I*ln(e*x+d)/e*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/e*n*dilog(-1/d*e*x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*ln(e*x+d)/e*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2/e*n*ln(e*x+d)*ln(-1/d*e*x)*b^2*ln(c)-1/4*ln(e*x+d)/e*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+ln(e*x+d)/e*ln(c)^2*b^2+b^2*ln(e*x+d)/e*ln(x^n)^2+a^2*ln(e*x+d)/e+I/e*n*dilog(-1/d*e*x)*b^2*Pi*csgn(I*c*x^n)^3-2*b/e*n*dilog(-1/d*e*x)*a-2*b/e*n*ln(e*x+d)*ln(-1/d*e*x)*a+I/e*n*ln(e*x+d)*ln(-1/d*e*x)*b^2*Pi*csgn(I*c*x^n)^3-I/e*n*dilog(-1/d*e*x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+I*ln(e*x+d)/e*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-I/e*n*dilog(-1/d*e*x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I*ln(e*x+d)/e*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I*ln(e*x+d)/e*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2+I*ln(e*x+d)/e*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c)+I/e*n*ln(e*x+d)*ln(-1/d*e*x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2/e*n*dilog(-1/d*e*x)*b^2*ln(c)+2*ln(e*x+d)/e*ln(c)*a*b-I*ln(e*x+d)/e*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*b^2*n*dilog((e*x+d)/d)/e*ln(x^n)-1/4*ln(e*x+d)/e*Pi^2*b^2*csgn(I*c*x^n)^6+2*ln(e*x+d)/e*ln(x^n)*b^2*ln(c)+2*b*ln(e*x+d)/e*ln(x^n)*a-I*ln(e*x+d)/e*ln(c)*Pi*b^2*csgn(I*c*x^n)^3-2*b^2*n^2*polylog(3,-1/d*e*x)/e-ln(e*x+d)/e*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/2*ln(e*x+d)/e*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+1/2*ln(e*x+d)/e*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-1/4*ln(e*x+d)/e*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-I*ln(e*x+d)/e*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^3-I*ln(e*x+d)/e*Pi*a*b*csgn(I*c*x^n)^3","C"
96,1,2315,79,0.474000," ","int((b*ln(c*x^n)+a)^2/x/(e*x+d),x)","\text{Expression too large to display}"," ",0,"b^2*ln(x^n)^2/d*ln(x)-b^2/d*ln(e*x+d)*ln(x^n)^2-b^2/d*ln(e*x+d)*n^2*ln(x)^2-b^2*n^2/d*ln(x)^2*ln(1/d*e*x+1)-2*b^2*n^2/d*ln(x)*polylog(2,-1/d*e*x)+2*b^2*n^2/d*dilog((e*x+d)/d)*ln(x)+2*b^2*n^2/d*ln(x)^2*ln((e*x+d)/d)+I*ln(x^n)/d*ln(x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/d*ln(x)*ln(c)^2*b^2-1/d*ln(e*x+d)*ln(c)^2*b^2+1/3*b^2*n^2/d*ln(x)^3+2*b^2*n^2/d*polylog(3,-1/d*e*x)-a^2/d*ln(e*x+d)+a^2/d*ln(x)-I*n/d*ln(e*x+d)*ln(-1/d*e*x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*ln(x^n)/d*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I/d*ln(x)*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*n*ln(x)^2/d*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4/d*ln(x)*Pi^2*b^2*csgn(I*c*x^n)^6+1/4/d*ln(e*x+d)*Pi^2*b^2*csgn(I*c*x^n)^6-b^2/d*ln(x)^2*ln(x^n)*n+2*ln(x^n)/d*ln(x)*b^2*ln(c)-2/d*ln(e*x+d)*ln(x^n)*b^2*ln(c)-I/d*ln(x)*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/d*ln(e*x+d)*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/d*ln(e*x+d)*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*n/d*dilog(-1/d*e*x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*n/d*ln(e*x+d)*ln(-1/d*e*x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-I*ln(x^n)/d*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/d*ln(e*x+d)*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I/d*ln(e*x+d)*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I/d*ln(e*x+d)*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I/d*ln(e*x+d)*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)+2*b*n/d*ln(e*x+d)*ln(-1/d*e*x)*a+2*n/d*ln(e*x+d)*ln(-1/d*e*x)*b^2*ln(c)+2*b*ln(x^n)/d*ln(x)*a+I/d*ln(e*x+d)*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^3-1/4/d*ln(x)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2+1/2/d*ln(x)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+I/d*ln(e*x+d)*ln(c)*Pi*b^2*csgn(I*c*x^n)^3+I/d*ln(e*x+d)*Pi*a*b*csgn(I*c*x^n)^3+1/4/d*ln(e*x+d)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-1/d*ln(x)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/2/d*ln(x)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-1/2/d*ln(e*x+d)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-1/2/d*ln(e*x+d)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-I*ln(x^n)/d*ln(x)*b^2*Pi*csgn(I*c*x^n)^3+1/d*ln(e*x+d)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)-I*n/d*dilog(-1/d*e*x)*b^2*Pi*csgn(I*c*x^n)^3+1/2*I*n*ln(x)^2/d*b^2*Pi*csgn(I*c*x^n)^3-I/d*ln(x)*ln(c)*Pi*b^2*csgn(I*c*x^n)^3-I/d*ln(x)*Pi*a*b*csgn(I*c*x^n)^3+I*n/d*ln(e*x+d)*ln(-1/d*e*x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I*n/d*dilog(-1/d*e*x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I*n/d*dilog(-1/d*e*x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+I/d*ln(x)*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c)-I/d*ln(e*x+d)*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c)-2*b/d*ln(e*x+d)*ln(x^n)*a-I/d*ln(e*x+d)*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-2/d*ln(e*x+d)*ln(c)*a*b-n*ln(x)^2/d*b^2*ln(c)+2*n/d*dilog(-1/d*e*x)*b^2*ln(c)+2/d*ln(x)*ln(c)*a*b-I*n/d*ln(e*x+d)*ln(-1/d*e*x)*b^2*Pi*csgn(I*c*x^n)^3+I/d*ln(x)*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*n*ln(x)^2/d*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+I/d*ln(x)*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2+I/d*ln(x)*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)-2*b^2*n/d*dilog((e*x+d)/d)*ln(x^n)+1/2/d*ln(x)*Pi^2*b^2*csgn(I*c*x^n)^5*csgn(I*c)-1/4/d*ln(x)*Pi^2*b^2*csgn(I*c*x^n)^4*csgn(I*c)^2+1/4/d*ln(e*x+d)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4-1/2/d*ln(e*x+d)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-1/2*I*n*ln(x)^2/d*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I/d*ln(e*x+d)*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-b*n*ln(x)^2/d*a+2*b*n/d*dilog(-1/d*e*x)*a+2*b^2/d*ln(e*x+d)*ln(x)*ln(x^n)*n-2*b^2*n/d*ln(x)*ln((e*x+d)/d)*ln(x^n)-1/2/d*ln(e*x+d)*Pi^2*b^2*csgn(I*c*x^n)^5*csgn(I*c)+1/4/d*ln(e*x+d)*Pi^2*b^2*csgn(I*c*x^n)^4*csgn(I*c)^2-1/4/d*ln(x)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+1/2/d*ln(x)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5","C"
97,0,0,135,0.711000," ","int((b*ln(c*x^n)+a)^2/x^2/(e*x+d),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e x +d \right) x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/x^2/(e*x+d),x)","F"
98,0,0,198,0.749000," ","int((b*ln(c*x^n)+a)^2/x^3/(e*x+d),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e x +d \right) x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/x^3/(e*x+d),x)","F"
99,0,0,261,0.768000," ","int((b*ln(c*x^n)+a)^2/x^4/(e*x+d),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e x +d \right) x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/x^4/(e*x+d),x)","F"
100,0,0,275,0.693000," ","int(x^3*(b*ln(c*x^n)+a)^2/(e*x+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{3}}{\left(e x +d \right)^{2}}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)^2/(e*x+d)^2,x)","F"
101,0,0,203,0.776000," ","int(x^2*(b*ln(c*x^n)+a)^2/(e*x+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{2}}{\left(e x +d \right)^{2}}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)^2/(e*x+d)^2,x)","F"
102,0,0,143,0.730000," ","int(x*(b*ln(c*x^n)+a)^2/(e*x+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x}{\left(e x +d \right)^{2}}\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^2/(e*x+d)^2,x)","F"
103,1,755,77,0.266000," ","int((b*ln(c*x^n)+a)^2/(e*x+d)^2,x)","-\frac{b^{2} n^{2} \ln \left(x \right)^{2}}{d e}-\frac{2 a b \ln \left(x^{n}\right)}{\left(e x +d \right) e}-\frac{2 b^{2} \ln \left(c \right) \ln \left(x^{n}\right)}{\left(e x +d \right) e}+\frac{2 b^{2} n \ln \left(x \right) \ln \left(x^{n}\right)}{d e}-\frac{2 b^{2} n \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d e}-\frac{2 a b n \ln \left(e x +d \right)}{d e}-\frac{2 b^{2} n \ln \left(c \right) \ln \left(e x +d \right)}{d e}+\frac{2 b^{2} n \ln \left(c \right) \ln \left(x \right)}{d e}+\frac{2 a b n \ln \left(x \right)}{d e}-\frac{i \pi  \,b^{2} n \,\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)}{d e}+\frac{i \pi  \,b^{2} n \,\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 +d \right)}{d e}+\frac{2 b^{2} n^{2} \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d e}+\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{d e}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) e}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) e}-\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{d e}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{d e}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{d e}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{d e}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(x^{n}\right)}{\left(e x +d \right) e}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{d e}-\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 \ln \left(c \right)+2 a \right)^{2}}{4 \left(e x +d \right) e}-\frac{b^{2} \ln \left(x^{n}\right)^{2}}{\left(e x +d \right) e}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{n}\right)}{\left(e x +d \right) e}+\frac{2 b^{2} n^{2} \dilog \left(-\frac{e x}{d}\right)}{d e}"," ",0,"2*b^2/e*n^2/d*dilog(-1/d*e*x)-b^2/e*n^2*ln(x)^2/d-2*b/(e*x+d)/e*ln(x^n)*a-2/(e*x+d)/e*ln(x^n)*b^2*ln(c)+2*b^2/e*n*ln(x^n)/d*ln(x)-2*b^2/e*n*ln(x^n)/d*ln(e*x+d)-2*b/e*n/d*ln(e*x+d)*a-2/e*n/d*ln(e*x+d)*b^2*ln(c)+2/e*n/d*ln(x)*b^2*ln(c)+2*b/e*n/d*ln(x)*a+I/e*n/d*ln(e*x+d)*b^2*Pi*csgn(I*c*x^n)^3-I/e*n/d*ln(e*x+d)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+2*b^2/e*n^2/d*ln(e*x+d)*ln(-1/d*e*x)-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)+2*a)^2/(e*x+d)/e-I/(e*x+d)/e*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I/e*n/d*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I/e*n/d*ln(x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+I/(e*x+d)/e*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I/e*n/d*ln(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-b^2/(e*x+d)/e*ln(x^n)^2-I/(e*x+d)/e*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-I/e*n/d*ln(x)*b^2*Pi*csgn(I*c*x^n)^3-I/e*n/d*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/e*n/d*ln(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/(e*x+d)/e*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^3","C"
104,0,0,151,0.763000," ","int((b*ln(c*x^n)+a)^2/x/(e*x+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e x +d \right)^{2} x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/x/(e*x+d)^2,x)","F"
105,0,0,211,0.726000," ","int((b*ln(c*x^n)+a)^2/x^2/(e*x+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e x +d \right)^{2} x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/x^2/(e*x+d)^2,x)","F"
106,0,0,279,0.764000," ","int((b*ln(c*x^n)+a)^2/x^3/(e*x+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e x +d \right)^{2} x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/x^3/(e*x+d)^2,x)","F"
107,0,0,292,0.747000," ","int(x^3*(b*ln(c*x^n)+a)^2/(e*x+d)^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{3}}{\left(e x +d \right)^{3}}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)^2/(e*x+d)^3,x)","F"
108,0,0,228,0.773000," ","int(x^2*(b*ln(c*x^n)+a)^2/(e*x+d)^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{2}}{\left(e x +d \right)^{3}}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)^2/(e*x+d)^3,x)","F"
109,1,1199,110,0.315000," ","int(x*(b*ln(c*x^n)+a)^2/(e*x+d)^3,x)","-\frac{i \pi  \,b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{2}}-\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d \,e^{2}}+\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 d \,e^{2}}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{2}}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) e^{2}}+\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 \ln \left(c \right)+2 a \right)^{2} \left(\frac{d}{2 \left(e x +d \right)^{2} e^{2}}-\frac{1}{\left(e x +d \right) e^{2}}\right)}{4}-\frac{b^{2} \ln \left(x^{n}\right)^{2}}{\left(e x +d \right) e^{2}}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d \,e^{2}}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d \,e^{2}}+\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) e^{2}}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{n}\right)}{\left(e x +d \right) e^{2}}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) e^{2}}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) e^{2}}+\frac{b^{2} n^{2} \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d \,e^{2}}+\frac{a b d \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} e^{2}}+\frac{b^{2} d \ln \left(c \right) \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} e^{2}}+\frac{b^{2} n \ln \left(x \right) \ln \left(x^{n}\right)}{d \,e^{2}}-\frac{b^{2} n \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d \,e^{2}}-\frac{b^{2} n \ln \left(c \right)}{\left(e x +d \right) e^{2}}-\frac{a b n}{\left(e x +d \right) e^{2}}-\frac{b^{2} n^{2} \ln \left(x \right)^{2}}{2 d \,e^{2}}+\frac{b^{2} n^{2} \ln \left(x \right)}{d \,e^{2}}-\frac{b^{2} n^{2} \ln \left(e x +d \right)}{d \,e^{2}}-\frac{2 a b \ln \left(x^{n}\right)}{\left(e x +d \right) e^{2}}-\frac{2 b^{2} \ln \left(c \right) \ln \left(x^{n}\right)}{\left(e x +d \right) e^{2}}-\frac{b^{2} n \ln \left(x^{n}\right)}{\left(e x +d \right) e^{2}}+\frac{b^{2} d \ln \left(x^{n}\right)^{2}}{2 \left(e x +d \right)^{2} e^{2}}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(x^{n}\right)}{\left(e x +d \right) e^{2}}-\frac{i \pi  \,b^{2} 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^{n}\right)}{2 \left(e x +d \right)^{2} e^{2}}-\frac{i \pi  \,b^{2} n \,\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 d \,e^{2}}+\frac{i \pi  \,b^{2} n \,\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 +d \right)}{2 d \,e^{2}}+\frac{a b n \ln \left(x \right)}{d \,e^{2}}-\frac{a b n \ln \left(e x +d \right)}{d \,e^{2}}+\frac{b^{2} n^{2} \dilog \left(-\frac{e x}{d}\right)}{d \,e^{2}}+\frac{b^{2} n \ln \left(c \right) \ln \left(x \right)}{d \,e^{2}}-\frac{b^{2} n \ln \left(c \right) \ln \left(e x +d \right)}{d \,e^{2}}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d \,e^{2}}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \left(e x +d \right) e^{2}}+\frac{i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{2}}+\frac{i \pi  \,b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{2}}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d \,e^{2}}"," ",0,"1/2*I*ln(x^n)*d/e^2/(e*x+d)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I/e^2*n/d*ln(e*x+d)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*ln(x^n)*d/e^2/(e*x+d)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I/e^2*ln(x^n)/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I/e^2*n/d*ln(x)*b^2*Pi*csgn(I*c*x^n)^3+1/2*I/e^2*n/d*ln(e*x+d)*b^2*Pi*csgn(I*c*x^n)^3+1/2*I/e^2*n/d*ln(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+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+2*b*ln(c)+2*a)^2*(1/2*d/e^2/(e*x+d)^2-1/e^2/(e*x+d))-b^2*ln(x^n)^2/e^2/(e*x+d)-1/2*I/e^2*n/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-I/e^2*ln(x^n)/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I/e^2*n/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*ln(x^n)*d/e^2/(e*x+d)^2*b^2*Pi*csgn(I*c*x^n)^3+1/2*I/e^2*n/d*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I/e^2*n/d*ln(x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I/e^2*n/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I/e^2*n/d*ln(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I/e^2*n/d*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/e^2*ln(x^n)/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*ln(x^n)*d/e^2/(e*x+d)^2*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I/e^2*n/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^3+I/e^2*ln(x^n)/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^3+b^2/e^2*n^2/d*ln(e*x+d)*ln(-1/d*e*x)+b*ln(x^n)*d/e^2/(e*x+d)^2*a+ln(x^n)*d/e^2/(e*x+d)^2*b^2*ln(c)+b^2*n/e^2*ln(x^n)/d*ln(x)-b^2*n/e^2*ln(x^n)/d*ln(e*x+d)-1/e^2*n/(e*x+d)*b^2*ln(c)-b/e^2*n/(e*x+d)*a-1/2*b^2/e^2*n^2*ln(x)^2/d+b^2/e^2*n^2/d*ln(x)-b^2/e^2*n^2/d*ln(e*x+d)+b^2/e^2*n^2/d*dilog(-1/d*e*x)-2*b/e^2*ln(x^n)/(e*x+d)*a-2/e^2*ln(x^n)/(e*x+d)*b^2*ln(c)-b^2*n/e^2*ln(x^n)/(e*x+d)+1/2*b^2*ln(x^n)^2*d/e^2/(e*x+d)^2+b/e^2*n/d*ln(x)*a-b/e^2*n/d*ln(e*x+d)*a+1/e^2*n/d*ln(x)*b^2*ln(c)-1/e^2*n/d*ln(e*x+d)*b^2*ln(c)","C"
110,1,990,124,0.276000," ","int((b*ln(c*x^n)+a)^2/(e*x+d)^3,x)","\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \left(e x +d \right) d e}-\frac{i \pi  \,b^{2} n \,\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 d^{2} e}+\frac{i \pi  \,b^{2} n \,\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 +d \right)}{2 d^{2} e}-\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 \ln \left(c \right)+2 a \right)^{2}}{8 \left(e x +d \right)^{2} e}-\frac{b^{2} \ln \left(x^{n}\right)^{2}}{2 \left(e x +d \right)^{2} e}+\frac{b^{2} n^{2} \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{d^{2} e}-\frac{b^{2} n^{2} \ln \left(x \right)^{2}}{2 d^{2} e}+\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{2 d^{2} e}-\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e x +d \right) d e}-\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{2} e}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e}+\frac{a b n \ln \left(x \right)}{d^{2} e}-\frac{a b n \ln \left(e x +d \right)}{d^{2} e}+\frac{a b n}{\left(e x +d \right) d e}-\frac{b^{2} n^{2} \ln \left(x \right)}{d^{2} e}+\frac{b^{2} n^{2} \ln \left(e x +d \right)}{d^{2} e}+\frac{b^{2} n \ln \left(x \right) \ln \left(x^{n}\right)}{d^{2} e}-\frac{b^{2} n \ln \left(x^{n}\right) \ln \left(e x +d \right)}{d^{2} e}+\frac{b^{2} n \ln \left(x^{n}\right)}{\left(e x +d \right) d e}-\frac{a b \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} e}+\frac{b^{2} n^{2} \dilog \left(-\frac{e x}{d}\right)}{d^{2} e}+\frac{b^{2} n \ln \left(c \right) \ln \left(x \right)}{d^{2} e}-\frac{b^{2} n \ln \left(c \right) \ln \left(e x +d \right)}{d^{2} e}+\frac{b^{2} n \ln \left(c \right)}{\left(e x +d \right) d e}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d e}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e x +d \right) d e}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{2} e}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{2} e}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{2} e}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{2 d^{2} e}-\frac{b^{2} \ln \left(c \right) \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} e}"," ",0,"-1/2*I/e*n/d^2*ln(e*x+d)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I/e*n/d^2*ln(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I/e*n/d/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I/(e*x+d)^2/e*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I/e*n/d/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^3+1/2*I/e*n/d^2*ln(e*x+d)*b^2*Pi*csgn(I*c*x^n)^3-1/2*I/e*n/d^2*ln(x)*b^2*Pi*csgn(I*c*x^n)^3+1/2*I/e*n/d^2*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*b^2/(e*x+d)^2/e*ln(x^n)^2-1/2*I/(e*x+d)^2/e*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I/e*n/d^2*ln(x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I/e*n/d^2*ln(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I/e*n/d/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/8*(-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+2*b*ln(c)+2*a)^2/(e*x+d)^2/e+b^2/e*n^2/d^2*ln(e*x+d)*ln(-1/d*e*x)+1/2*I/e*n/d/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I/(e*x+d)^2/e*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*b^2/e*n^2/d^2*ln(x)^2+1/2*I/(e*x+d)^2/e*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^3-1/2*I/e*n/d^2*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+b/e*n/d^2*ln(x)*a-b/e*n/d^2*ln(e*x+d)*a+b/e*n/d/(e*x+d)*a-b^2/e*n^2/d^2*ln(x)+b^2/e*n^2/d^2*dilog(-1/d*e*x)+b^2*n^2*ln(e*x+d)/e/d^2+b^2/e*n*ln(x^n)/d^2*ln(x)-b^2/e*n*ln(x^n)/d^2*ln(e*x+d)+b^2/e*n*ln(x^n)/d/(e*x+d)-b/(e*x+d)^2/e*ln(x^n)*a+1/e*n/d^2*ln(x)*b^2*ln(c)-1/e*n/d^2*ln(e*x+d)*b^2*ln(c)+1/e*n/d/(e*x+d)*b^2*ln(c)-1/(e*x+d)^2/e*ln(x^n)*b^2*ln(c)","C"
111,0,0,251,0.829000," ","int((b*ln(c*x^n)+a)^2/x/(e*x+d)^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e x +d \right)^{3} x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/x/(e*x+d)^3,x)","F"
112,0,0,318,0.770000," ","int((b*ln(c*x^n)+a)^2/x^2/(e*x+d)^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e x +d \right)^{3} x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/x^2/(e*x+d)^3,x)","F"
113,0,0,382,0.886000," ","int(x^4*(b*ln(c*x^n)+a)^2/(e*x+d)^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{4}}{\left(e x +d \right)^{4}}\, dx"," ",0,"int(x^4*(b*ln(c*x^n)+a)^2/(e*x+d)^4,x)","F"
114,0,0,315,0.858000," ","int(x^3*(b*ln(c*x^n)+a)^2/(e*x+d)^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{3}}{\left(e x +d \right)^{4}}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)^2/(e*x+d)^4,x)","F"
115,1,1658,151,0.312000," ","int(x^2*(b*ln(c*x^n)+a)^2/(e*x+d)^4,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 \ln \left(c \right)+2 a \right)^{2} \left(-\frac{d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{d}{\left(e x +d \right)^{2} e^{3}}-\frac{1}{\left(e x +d \right) e^{3}}\right)}{4}-\frac{b^{2} \ln \left(x^{n}\right)^{2}}{\left(e x +d \right) e^{3}}-\frac{2 b^{2} d^{2} \ln \left(c \right) \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{3}}-\frac{b^{2} n^{2}}{3 \left(e x +d \right) e^{3}}-\frac{4 a b n}{3 \left(e x +d \right) e^{3}}+\frac{2 b^{2} n^{2} \dilog \left(-\frac{e x}{d}\right)}{3 d \,e^{3}}-\frac{2 a b n \ln \left(e x +d \right)}{3 d \,e^{3}}+\frac{2 b^{2} n \ln \left(c \right) \ln \left(x \right)}{3 d \,e^{3}}-\frac{2 b^{2} n \ln \left(c \right) \ln \left(e x +d \right)}{3 d \,e^{3}}+\frac{b^{2} d n \ln \left(c \right)}{3 \left(e x +d \right)^{2} e^{3}}+\frac{2 b^{2} d \ln \left(c \right) \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} e^{3}}-\frac{i \pi  \,b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} e^{3}}-\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{3 d \,e^{3}}+\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{3 d \,e^{3}}-\frac{2 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3 \left(e x +d \right) e^{3}}-\frac{2 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3 \left(e x +d \right) e^{3}}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{3 d \,e^{3}}+\frac{2 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{3 \left(e x +d \right) e^{3}}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(x^{n}\right)}{\left(e x +d \right) e^{3}}+\frac{b^{2} n^{2} \ln \left(x \right)}{d \,e^{3}}-\frac{b^{2} n^{2} \ln \left(e x +d \right)}{d \,e^{3}}-\frac{b^{2} n^{2} \ln \left(x \right)^{2}}{3 d \,e^{3}}-\frac{4 b^{2} n \ln \left(c \right)}{3 \left(e x +d \right) e^{3}}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) e^{3}}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{\left(e x +d \right) e^{3}}-\frac{b^{2} d^{2} \ln \left(x^{n}\right)^{2}}{3 \left(e x +d \right)^{3} e^{3}}-\frac{4 b^{2} n \ln \left(x^{n}\right)}{3 \left(e x +d \right) e^{3}}+\frac{b^{2} d \ln \left(x^{n}\right)^{2}}{\left(e x +d \right)^{2} e^{3}}-\frac{2 a b \ln \left(x^{n}\right)}{\left(e x +d \right) e^{3}}-\frac{2 b^{2} \ln \left(c \right) \ln \left(x^{n}\right)}{\left(e x +d \right) e^{3}}+\frac{a b d n}{3 \left(e x +d \right)^{2} e^{3}}+\frac{2 a b n \ln \left(x \right)}{3 d \,e^{3}}-\frac{i \pi  \,b^{2} d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{3}}-\frac{i \pi  \,b^{2} d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{3}}+\frac{i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{2} e^{3}}+\frac{i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{2} e^{3}}+\frac{i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} e^{3}}+\frac{i \pi  \,b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} e^{3}}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{3 d \,e^{3}}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{3 d \,e^{3}}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{3 d \,e^{3}}+\frac{i \pi  \,b^{2} d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{3}}-\frac{i \pi  \,b^{2} d n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 \left(e x +d \right)^{2} e^{3}}+\frac{2 a b d \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} e^{3}}-\frac{2 b^{2} n \ln \left(x^{n}\right) \ln \left(e x +d \right)}{3 d \,e^{3}}-\frac{2 a b \,d^{2} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{3}}+\frac{2 b^{2} n \ln \left(x \right) \ln \left(x^{n}\right)}{3 d \,e^{3}}+\frac{b^{2} d n \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{2} e^{3}}+\frac{i \pi  \,b^{2} d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{3}}-\frac{i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6 \left(e x +d \right)^{2} e^{3}}-\frac{i \pi  \,b^{2} 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^{n}\right)}{\left(e x +d \right)^{2} e^{3}}-\frac{i \pi  \,b^{2} n \,\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)}{3 d \,e^{3}}+\frac{i \pi  \,b^{2} n \,\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 +d \right)}{3 d \,e^{3}}+\frac{2 b^{2} n^{2} \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{3 d \,e^{3}}+\frac{2 i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{3 \left(e x +d \right) e^{3}}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{n}\right)}{\left(e x +d \right) e^{3}}"," ",0,"-1/3*I/e^3*n/d*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/3*I/e^3*n/d*ln(e*x+d)*b^2*Pi*csgn(I*c*x^n)^3-1/6*I/e^3*n*d/(e*x+d)^2*b^2*Pi*csgn(I*c*x^n)^3-1/3*I/e^3*n/d*ln(x)*b^2*Pi*csgn(I*c*x^n)^3+1/3*I*ln(x^n)*d^2/e^3/(e*x+d)^3*b^2*Pi*csgn(I*c*x^n)^3-2/3*I/e^3*n/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-2/3*I/e^3*n/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-I/e^3*ln(x^n)/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I/e^3*ln(x^n)*d/(e*x+d)^2*b^2*Pi*csgn(I*c*x^n)^3-b^2*ln(x^n)^2/e^3/(e*x+d)+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+2*b*ln(c)+2*a)^2*(d/e^3/(e*x+d)^2-1/e^3/(e*x+d)-1/3*d^2/e^3/(e*x+d)^3)-2/3*ln(x^n)*d^2/e^3/(e*x+d)^3*b^2*ln(c)-1/3*b^2/e^3*n^2/(e*x+d)-4/3*b/e^3*n/(e*x+d)*a-I/e^3*ln(x^n)/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/3*I/e^3*n/d*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+2/3*I/e^3*n/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6*I/e^3*n*d/(e*x+d)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/3*I/e^3*n/d*ln(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/e^3*ln(x^n)/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/e^3*ln(x^n)*d/(e*x+d)^2*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/6*I/e^3*n*d/(e*x+d)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I/e^3*n*d/(e*x+d)^2*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/3*I*ln(x^n)*d^2/e^3/(e*x+d)^3*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/3*I*ln(x^n)*d^2/e^3/(e*x+d)^3*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/3*I/e^3*n/d*ln(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/3*I/e^3*n/d*ln(e*x+d)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+I/e^3*ln(x^n)/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^3+2/3*I/e^3*n/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^3+1/3*I/e^3*n/d*ln(x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-2/3*b/e^3*n/d*ln(e*x+d)*a+2/3/e^3*n/d*ln(x)*b^2*ln(c)-2/3/e^3*n/d*ln(e*x+d)*b^2*ln(c)+1/3/e^3*n*d/(e*x+d)^2*b^2*ln(c)+2/e^3*ln(x^n)*d/(e*x+d)^2*b^2*ln(c)+2/3*b^2/e^3*n^2/d*dilog(-1/d*e*x)+b^2/e^3*n^2/d*ln(x)-b^2/e^3*n^2/d*ln(e*x+d)-1/3*b^2/e^3*n^2*ln(x)^2/d+I/e^3*ln(x^n)*d/(e*x+d)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-4/3/e^3*n/(e*x+d)*b^2*ln(c)-1/3*b^2*ln(x^n)^2*d^2/e^3/(e*x+d)^3-4/3*b^2*n/e^3*ln(x^n)/(e*x+d)+b^2*ln(x^n)^2*d/e^3/(e*x+d)^2-2*b/e^3*ln(x^n)/(e*x+d)*a-2/e^3*ln(x^n)/(e*x+d)*b^2*ln(c)+1/3*b/e^3*n*d/(e*x+d)^2*a+2/3*b/e^3*n/d*ln(x)*a+2*b/e^3*ln(x^n)*d/(e*x+d)^2*a-2/3*b^2*n/e^3*ln(x^n)/d*ln(e*x+d)-2/3*b*ln(x^n)*d^2/e^3/(e*x+d)^3*a+2/3*b^2*n/e^3*ln(x^n)/d*ln(x)+1/3*b^2*n/e^3*ln(x^n)*d/(e*x+d)^2+1/3*I*ln(x^n)*d^2/e^3/(e*x+d)^3*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I/e^3*ln(x^n)*d/(e*x+d)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2/3*b^2/e^3*n^2/d*ln(e*x+d)*ln(-1/d*e*x)","C"
116,1,1400,194,0.297000," ","int(x*(b*ln(c*x^n)+a)^2/(e*x+d)^4,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 \ln \left(c \right)+2 a \right)^{2} \left(\frac{d}{3 \left(e x +d \right)^{3} e^{2}}-\frac{1}{2 \left(e x +d \right)^{2} e^{2}}\right)}{4}-\frac{b^{2} \ln \left(x^{n}\right)^{2}}{2 \left(e x +d \right)^{2} e^{2}}+\frac{i \pi  \,b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{2}}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6 \left(e x +d \right)^{2} e^{2}}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{2}}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right) d \,e^{2}}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right) d \,e^{2}}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{6 d^{2} e^{2}}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{6 d^{2} e^{2}}-\frac{a b n}{3 \left(e x +d \right)^{2} e^{2}}-\frac{b^{2} n \ln \left(c \right)}{3 \left(e x +d \right)^{2} e^{2}}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{2} e^{2}}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{2}}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{2}}-\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 \left(e x +d \right) d \,e^{2}}-\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{6 d^{2} e^{2}}+\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{6 d^{2} e^{2}}+\frac{a b n}{3 \left(e x +d \right) d \,e^{2}}+\frac{a b n \ln \left(x \right)}{3 d^{2} e^{2}}-\frac{a b n \ln \left(e x +d \right)}{3 d^{2} e^{2}}+\frac{b^{2} n^{2} \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{3 d^{2} e^{2}}-\frac{b^{2} n^{2} \ln \left(x \right)^{2}}{6 d^{2} e^{2}}+\frac{b^{2} n \ln \left(c \right)}{3 \left(e x +d \right) d \,e^{2}}+\frac{b^{2} n \ln \left(c \right) \ln \left(x \right)}{3 d^{2} e^{2}}-\frac{b^{2} n \ln \left(c \right) \ln \left(e x +d \right)}{3 d^{2} e^{2}}+\frac{i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{2}}-\frac{i \pi  \,b^{2} 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^{n}\right)}{3 \left(e x +d \right)^{3} e^{2}}-\frac{i \pi  \,b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{2}}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{2} e^{2}}+\frac{b^{2} n^{2} \dilog \left(-\frac{e x}{d}\right)}{3 d^{2} e^{2}}+\frac{2 a b d \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{2}}-\frac{b^{2} n \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{2} e^{2}}+\frac{b^{2} d \ln \left(x^{n}\right)^{2}}{3 \left(e x +d \right)^{3} e^{2}}-\frac{a b \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} e^{2}}-\frac{b^{2} \ln \left(c \right) \ln \left(x^{n}\right)}{\left(e x +d \right)^{2} e^{2}}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6 \left(e x +d \right) d \,e^{2}}-\frac{i \pi  \,b^{2} n \,\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)}{6 d^{2} e^{2}}+\frac{i \pi  \,b^{2} n \,\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 +d \right)}{6 d^{2} e^{2}}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{6 d^{2} e^{2}}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{6 d^{2} e^{2}}+\frac{2 b^{2} d \ln \left(c \right) \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e^{2}}+\frac{b^{2} n \ln \left(x \right) \ln \left(x^{n}\right)}{3 d^{2} e^{2}}-\frac{b^{2} n \ln \left(x^{n}\right) \ln \left(e x +d \right)}{3 d^{2} e^{2}}+\frac{b^{2} n \ln \left(x^{n}\right)}{3 \left(e x +d \right) d \,e^{2}}+\frac{b^{2} n^{2}}{3 \left(e x +d \right) d \,e^{2}}+\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 \left(e x +d \right)^{2} e^{2}}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{2}}"," ",0,"1/6*I/e^2*n/d^2*ln(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6*I/e^2*n/d/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^3-1/2*I/e^2*ln(x^n)/(e*x+d)^2*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/3*I*ln(x^n)*d/e^2/(e*x+d)^3*b^2*Pi*csgn(I*c*x^n)^3-1/6*I/e^2*n/(e*x+d)^2*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/2*b^2*ln(x^n)^2/e^2/(e*x+d)^2+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+2*b*ln(c)+2*a)^2*(-1/2/e^2/(e*x+d)^2+1/3*d/e^2/(e*x+d)^3)+1/6*I/e^2*n/d^2*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/3*I*ln(x^n)*d/e^2/(e*x+d)^3*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/6*I/e^2*n/d/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*I*ln(x^n)*d/e^2/(e*x+d)^3*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/6*I/e^2*n/(e*x+d)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6*I/e^2*n/d^2*ln(x)*b^2*Pi*csgn(I*c*x^n)^3-1/3*b/e^2*n/(e*x+d)^2*a-1/3/e^2*n/(e*x+d)^2*b^2*ln(c)-1/2*I/e^2*ln(x^n)/(e*x+d)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I/e^2*n/d^2*ln(e*x+d)*b^2*Pi*csgn(I*c*x^n)^3-1/6*I/e^2*n/(e*x+d)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I/e^2*n/d/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/3*I*ln(x^n)*d/e^2/(e*x+d)^3*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/6*I/e^2*n/d^2*ln(e*x+d)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/6*I/e^2*n/d/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I/e^2*ln(x^n)/(e*x+d)^2*b^2*Pi*csgn(I*c*x^n)^3+1/6*I/e^2*n/(e*x+d)^2*b^2*Pi*csgn(I*c*x^n)^3+1/3*b/e^2*n/d/(e*x+d)*a+1/3*b/e^2*n/d^2*ln(x)*a-1/3*b/e^2*n/d^2*ln(e*x+d)*a+1/3*b^2/e^2*n^2/d^2*ln(e*x+d)*ln(-1/d*e*x)-1/6*b^2/e^2*n^2/d^2*ln(x)^2+1/3*b^2/e^2*n^2/d^2*dilog(-1/d*e*x)+1/3/e^2*n/d/(e*x+d)*b^2*ln(c)+1/3/e^2*n/d^2*ln(x)*b^2*ln(c)-1/3/e^2*n/d^2*ln(e*x+d)*b^2*ln(c)+1/2*I/e^2*ln(x^n)/(e*x+d)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/6*I/e^2*n/d^2*ln(x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/6*I/e^2*n/d^2*ln(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+2/3*b*ln(x^n)*d/e^2/(e*x+d)^3*a-1/6*I/e^2*n/d^2*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*b^2*n/e^2*ln(x^n)/(e*x+d)^2+1/3*b^2*ln(x^n)^2*d/e^2/(e*x+d)^3-b/e^2*ln(x^n)/(e*x+d)^2*a-1/e^2*ln(x^n)/(e*x+d)^2*b^2*ln(c)+2/3*ln(x^n)*d/e^2/(e*x+d)^3*b^2*ln(c)+1/3*b^2*n/e^2*ln(x^n)/d^2*ln(x)-1/3*b^2*n/e^2*ln(x^n)/d^2*ln(e*x+d)+1/3*b^2*n/e^2*ln(x^n)/d/(e*x+d)+1/3*b^2*n^2/d/e^2/(e*x+d)","C"
117,1,1227,189,0.276000," ","int((b*ln(c*x^n)+a)^2/(e*x+d)^4,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 \ln \left(c \right)+2 a \right)^{2}}{12 \left(e x +d \right)^{3} e}+\frac{2 b^{2} n^{2} \dilog \left(-\frac{e x}{d}\right)}{3 d^{3} e}-\frac{b^{2} \ln \left(x^{n}\right)^{2}}{3 \left(e x +d \right)^{3} e}+\frac{a b n}{3 \left(e x +d \right)^{2} d e}+\frac{2 a b n \ln \left(x \right)}{3 d^{3} e}-\frac{2 a b n \ln \left(e x +d \right)}{3 d^{3} e}+\frac{2 a b n}{3 \left(e x +d \right) d^{2} e}-\frac{2 b^{2} n \ln \left(c \right) \ln \left(e x +d \right)}{3 d^{3} e}+\frac{2 b^{2} n \ln \left(c \right) \ln \left(x \right)}{3 d^{3} e}+\frac{2 b^{2} n \ln \left(c \right)}{3 \left(e x +d \right) d^{2} e}+\frac{b^{2} n \ln \left(c \right)}{3 \left(e x +d \right)^{2} d e}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e}+\frac{2 b^{2} n \ln \left(x^{n}\right)}{3 \left(e x +d \right) d^{2} e}+\frac{b^{2} n \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{2} d e}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3 \left(e x +d \right) d^{2} e}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{3 d^{3} e}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{3 d^{3} e}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{3 d^{3} e}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e x +d \right)}{3 d^{3} e}-\frac{2 a b \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e}-\frac{2 b^{2} \ln \left(c \right) \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e}+\frac{2 b^{2} n^{2} \ln \left(-\frac{e x}{d}\right) \ln \left(e x +d \right)}{3 d^{3} e}-\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 \left(e x +d \right)^{2} d e}-\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{3 \left(e x +d \right) d^{2} e}-\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{3 d^{3} e}+\frac{i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e x +d \right)}{3 d^{3} e}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e}-\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e}-\frac{b^{2} n^{2} \ln \left(x \right)^{2}}{3 d^{3} e}+\frac{i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(x^{n}\right)}{3 \left(e x +d \right)^{3} e}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{2} d e}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e x +d \right)^{2} d e}+\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3 \left(e x +d \right) d^{2} e}+\frac{2 b^{2} n \ln \left(x \right) \ln \left(x^{n}\right)}{3 d^{3} e}-\frac{2 b^{2} n \ln \left(x^{n}\right) \ln \left(e x +d \right)}{3 d^{3} e}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6 \left(e x +d \right)^{2} d e}-\frac{i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{3 \left(e x +d \right) d^{2} e}-\frac{i \pi  \,b^{2} n \,\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)}{3 d^{3} e}+\frac{i \pi  \,b^{2} n \,\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 +d \right)}{3 d^{3} e}-\frac{b^{2} n^{2}}{3 \left(e x +d \right) d^{2} e}-\frac{b^{2} n^{2} \ln \left(x \right)}{d^{3} e}+\frac{b^{2} n^{2} \ln \left(e x +d \right)}{d^{3} e}"," ",0,"1/3*I/e*n/d^3*ln(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*I/e*n/d^3*ln(x)*b^2*Pi*csgn(I*c*x^n)^3+1/3*I/e*n/d^3*ln(e*x+d)*b^2*Pi*csgn(I*c*x^n)^3-1/3*I/e*n/d^2/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^3-1/6*I/e*n/d/(e*x+d)^2*b^2*Pi*csgn(I*c*x^n)^3-1/3*b^2/(e*x+d)^3/e*ln(x^n)^2-1/12*(-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+2*b*ln(c)+2*a)^2/(e*x+d)^3/e+1/6*I/e*n/d/(e*x+d)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I/e*n/d/(e*x+d)^2*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/3*I/e*n/d^2/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*I/e*n/d^3*ln(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/3*I/(e*x+d)^3/e*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/3*I/(e*x+d)^3/e*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/3*I/e*n/d^3*ln(e*x+d)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/3*b/e*n/d/(e*x+d)^2*a+2/3*b/e*n/d^3*ln(x)*a-2/3*b/e*n/d^3*ln(e*x+d)*a+2/3*b/e*n/d^2/(e*x+d)*a-2/3/e*n/d^3*ln(e*x+d)*b^2*ln(c)+2/3/e*n/d^3*ln(x)*b^2*ln(c)+2/3/e*n/d^2/(e*x+d)*b^2*ln(c)+1/3/e*n/d/(e*x+d)^2*b^2*ln(c)+1/3*I/e*n/d^3*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/3*I/e*n/d^3*ln(x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+2/3*b^2/e*n*ln(x^n)/d^2/(e*x+d)+1/3*b^2/e*n*ln(x^n)/d/(e*x+d)^2-2/3*b/(e*x+d)^3/e*ln(x^n)*a-2/3/(e*x+d)^3/e*ln(x^n)*b^2*ln(c)+2/3*b^2/e*n^2/d^3*ln(e*x+d)*ln(-1/d*e*x)+1/3*I/e*n/d^2/(e*x+d)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/3*I/e*n/d^2/(e*x+d)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/3*I/(e*x+d)^3/e*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/3*b^2/e*n^2/d^3*ln(x)^2+2/3*b^2/e*n^2/d^3*dilog(-1/d*e*x)+1/3*I/(e*x+d)^3/e*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^3-1/3*I/e*n/d^3*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6*I/e*n/d/(e*x+d)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2/3*b^2/e*n*ln(x^n)/d^3*ln(x)-2/3*b^2/e*n/d^3*ln(x^n)*ln(e*x+d)-1/3*b^2*n^2/d^2/e/(e*x+d)-b^2*n^2*ln(x)/d^3/e+b^2*n^2*ln(e*x+d)/d^3/e","C"
118,0,0,331,0.919000," ","int((b*ln(c*x^n)+a)^2/x/(e*x+d)^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e x +d \right)^{4} x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/x/(e*x+d)^4,x)","F"
119,0,0,402,0.861000," ","int((b*ln(c*x^n)+a)^2/x^2/(e*x+d)^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e x +d \right)^{4} x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/x^2/(e*x+d)^4,x)","F"
120,0,0,97,0.230000," ","int(x*ln(x)^2/(e*x+d)^4,x)","\int \frac{x \ln \left(x \right)^{2}}{\left(e x +d \right)^{4}}\, dx"," ",0,"int(x*ln(x)^2/(e*x+d)^4,x)","F"
121,1,9909,113,0.870000," ","int((b*ln(c*x^n)+a)^3/x/(e*x+d),x)","\text{output too large to display}"," ",0,"result too large to display","C"
122,0,0,217,1.053000," ","int((b*ln(c*x^n)+a)^3/x/(e*x+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3}}{\left(e x +d \right)^{2} x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3/x/(e*x+d)^2,x)","F"
123,0,0,351,1.291000," ","int((b*ln(c*x^n)+a)^3/x/(e*x+d)^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3}}{\left(e x +d \right)^{3} x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3/x/(e*x+d)^3,x)","F"
124,0,0,155,0.295000," ","int((e*x+d)*(b*ln(c*x^n)+a)^(1/2),x)","\int \left(e x +d \right) \sqrt{b \ln \left(c \,x^{n}\right)+a}\, dx"," ",0,"int((e*x+d)*(b*ln(c*x^n)+a)^(1/2),x)","F"
125,0,0,248,0.408000," ","int((e*x+d)^2*(b*ln(c*x^n)+a)^(1/2),x)","\int \left(e x +d \right)^{2} \sqrt{b \ln \left(c \,x^{n}\right)+a}\, dx"," ",0,"int((e*x+d)^2*(b*ln(c*x^n)+a)^(1/2),x)","F"
126,0,0,337,0.397000," ","int((e*x+d)^3*(b*ln(c*x^n)+a)^(1/2),x)","\int \left(e x +d \right)^{3} \sqrt{b \ln \left(c \,x^{n}\right)+a}\, dx"," ",0,"int((e*x+d)^3*(b*ln(c*x^n)+a)^(1/2),x)","F"
127,0,0,22,0.447000," ","int((b*ln(c*x^n)+a)^(1/2)/(e*x+d),x)","\int \frac{\sqrt{b \ln \left(c \,x^{n}\right)+a}}{e x +d}\, dx"," ",0,"int((b*ln(c*x^n)+a)^(1/2)/(e*x+d),x)","F"
128,0,0,54,0.414000," ","int((b*ln(c*x^n)+a)^(1/2)/(e*x+d)^2,x)","\int \frac{\sqrt{b \ln \left(c \,x^{n}\right)+a}}{\left(e x +d \right)^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^(1/2)/(e*x+d)^2,x)","F"
129,0,0,57,0.426000," ","int((b*ln(c*x^n)+a)^(1/2)/(e*x+d)^3,x)","\int \frac{\sqrt{b \ln \left(c \,x^{n}\right)+a}}{\left(e x +d \right)^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^(1/2)/(e*x+d)^3,x)","F"
130,0,0,198,0.490000," ","int(x^3*(b*ln(c*x^n)+a)*(e*x+d)^(1/2),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e x +d}\, x^{3}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)*(e*x+d)^(1/2),x)","F"
131,0,0,156,0.474000," ","int(x^2*(b*ln(c*x^n)+a)*(e*x+d)^(1/2),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e x +d}\, x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)*(e*x+d)^(1/2),x)","F"
132,0,0,114,0.462000," ","int(x*(b*ln(c*x^n)+a)*(e*x+d)^(1/2),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e x +d}\, x\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)*(e*x+d)^(1/2),x)","F"
133,0,0,74,0.461000," ","int((b*ln(c*x^n)+a)*(e*x+d)^(1/2),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e x +d}\, dx"," ",0,"int((b*ln(c*x^n)+a)*(e*x+d)^(1/2),x)","F"
134,0,0,169,0.385000," ","int((b*ln(c*x^n)+a)*(e*x+d)^(1/2)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e x +d}}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)*(e*x+d)^(1/2)/x,x)","F"
135,0,0,179,0.400000," ","int((b*ln(c*x^n)+a)*(e*x+d)^(1/2)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e x +d}}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*(e*x+d)^(1/2)/x^2,x)","F"
136,0,0,234,0.391000," ","int((b*ln(c*x^n)+a)*(e*x+d)^(1/2)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e x +d}}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*(e*x+d)^(1/2)/x^3,x)","F"
137,0,0,215,0.470000," ","int(x^3*(e*x+d)^(3/2)*(b*ln(c*x^n)+a),x)","\int \left(e x +d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right) x^{3}\, dx"," ",0,"int(x^3*(e*x+d)^(3/2)*(b*ln(c*x^n)+a),x)","F"
138,0,0,173,0.452000," ","int(x^2*(e*x+d)^(3/2)*(b*ln(c*x^n)+a),x)","\int \left(e x +d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right) x^{2}\, dx"," ",0,"int(x^2*(e*x+d)^(3/2)*(b*ln(c*x^n)+a),x)","F"
139,0,0,131,0.450000," ","int(x*(e*x+d)^(3/2)*(b*ln(c*x^n)+a),x)","\int \left(e x +d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right) x\, dx"," ",0,"int(x*(e*x+d)^(3/2)*(b*ln(c*x^n)+a),x)","F"
140,0,0,91,0.430000," ","int((e*x+d)^(3/2)*(b*ln(c*x^n)+a),x)","\int \left(e x +d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)\, dx"," ",0,"int((e*x+d)^(3/2)*(b*ln(c*x^n)+a),x)","F"
141,0,0,201,0.364000," ","int((e*x+d)^(3/2)*(b*ln(c*x^n)+a)/x,x)","\int \frac{\left(e x +d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}{x}\, dx"," ",0,"int((e*x+d)^(3/2)*(b*ln(c*x^n)+a)/x,x)","F"
142,0,0,213,0.354000," ","int((e*x+d)^(3/2)*(b*ln(c*x^n)+a)/x^2,x)","\int \frac{\left(e x +d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}{x^{2}}\, dx"," ",0,"int((e*x+d)^(3/2)*(b*ln(c*x^n)+a)/x^2,x)","F"
143,0,0,229,0.379000," ","int((e*x+d)^(3/2)*(b*ln(c*x^n)+a)/x^3,x)","\int \frac{\left(e x +d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}{x^{3}}\, dx"," ",0,"int((e*x+d)^(3/2)*(b*ln(c*x^n)+a)/x^3,x)","F"
144,0,0,181,0.429000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x+d)^(1/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{3}}{\sqrt{e x +d}}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)/(e*x+d)^(1/2),x)","F"
145,0,0,139,0.433000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x+d)^(1/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{2}}{\sqrt{e x +d}}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)/(e*x+d)^(1/2),x)","F"
146,0,0,97,0.423000," ","int(x*(b*ln(c*x^n)+a)/(e*x+d)^(1/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x}{\sqrt{e x +d}}\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)/(e*x+d)^(1/2),x)","F"
147,1,70,59,0.041000," ","int((b*ln(c*x^n)+a)/(e*x+d)^(1/2),x)","\frac{4 b \sqrt{d}\, n \arctanh \left(\frac{\sqrt{e x +d}}{\sqrt{d}}\right)}{e}-\frac{4 \sqrt{e x +d}\, b n}{e}+\frac{2 \sqrt{e x +d}\, b \ln \left(c \,x^{n}\right)}{e}+\frac{2 \sqrt{e x +d}\, a}{e}"," ",0,"4*b*n*arctanh((e*x+d)^(1/2)/d^(1/2))*d^(1/2)/e+2/e*ln(c*x^n)*(e*x+d)^(1/2)*b-4*b*n*(e*x+d)^(1/2)/e+2/e*a*(e*x+d)^(1/2)","A"
148,0,0,120,0.388000," ","int((b*ln(c*x^n)+a)/x/(e*x+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{e x +d}\, x}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x/(e*x+d)^(1/2),x)","F"
149,0,0,184,0.365000," ","int((b*ln(c*x^n)+a)/x^2/(e*x+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{e x +d}\, x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^2/(e*x+d)^(1/2),x)","F"
150,0,0,240,0.366000," ","int((b*ln(c*x^n)+a)/x^3/(e*x+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{e x +d}\, x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^3/(e*x+d)^(1/2),x)","F"
151,0,0,164,0.370000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x+d)^(3/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{3}}{\left(e x +d \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)/(e*x+d)^(3/2),x)","F"
152,0,0,122,0.364000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x+d)^(3/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{2}}{\left(e x +d \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)/(e*x+d)^(3/2),x)","F"
153,0,0,82,0.371000," ","int(x*(b*ln(c*x^n)+a)/(e*x+d)^(3/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x}{\left(e x +d \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)/(e*x+d)^(3/2),x)","F"
154,0,0,45,0.339000," ","int((b*ln(c*x^n)+a)/(e*x+d)^(3/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e x +d \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/(e*x+d)^(3/2),x)","F"
155,0,0,161,0.370000," ","int((b*ln(c*x^n)+a)/x/(e*x+d)^(3/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e x +d \right)^{\frac{3}{2}} x}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x/(e*x+d)^(3/2),x)","F"
156,0,0,211,0.371000," ","int((b*ln(c*x^n)+a)/x^2/(e*x+d)^(3/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e x +d \right)^{\frac{3}{2}} x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^2/(e*x+d)^(3/2),x)","F"
157,0,0,25,0.507000," ","int(x^2/(e*x+d)/(b*ln(c*x^n)+a),x)","\int \frac{x^{2}}{\left(e x +d \right) \left(b \ln \left(c \,x^{n}\right)+a \right)}\, dx"," ",0,"int(x^2/(e*x+d)/(b*ln(c*x^n)+a),x)","F"
158,0,0,23,0.509000," ","int(x/(e*x+d)/(b*ln(c*x^n)+a),x)","\int \frac{x}{\left(e x +d \right) \left(b \ln \left(c \,x^{n}\right)+a \right)}\, dx"," ",0,"int(x/(e*x+d)/(b*ln(c*x^n)+a),x)","F"
159,0,0,22,0.502000," ","int(1/(e*x+d)/(b*ln(c*x^n)+a),x)","\int \frac{1}{\left(e x +d \right) \left(b \ln \left(c \,x^{n}\right)+a \right)}\, dx"," ",0,"int(1/(e*x+d)/(b*ln(c*x^n)+a),x)","F"
160,0,0,25,0.508000," ","int(1/x/(e*x+d)/(b*ln(c*x^n)+a),x)","\int \frac{1}{\left(e x +d \right) \left(b \ln \left(c \,x^{n}\right)+a \right) x}\, dx"," ",0,"int(1/x/(e*x+d)/(b*ln(c*x^n)+a),x)","F"
161,0,0,25,0.536000," ","int(1/x^2/(e*x+d)/(b*ln(c*x^n)+a),x)","\int \frac{1}{\left(e x +d \right) \left(b \ln \left(c \,x^{n}\right)+a \right) x^{2}}\, dx"," ",0,"int(1/x^2/(e*x+d)/(b*ln(c*x^n)+a),x)","F"
162,1,5021,211,0.689000," ","int((f*x)^m*(e*x+d)^3*(b*ln(c*x^n)+a),x)","\text{output too large to display}"," ",0,"result too large to display","C"
163,1,2702,153,0.382000," ","int((f*x)^m*(e*x+d)^2*(b*ln(c*x^n)+a),x)","\text{Expression too large to display}"," ",0,"b*x*(e^2*m^2*x^2+2*d*e*m^2*x+3*e^2*m*x^2+d^2*m^2+8*d*e*m*x+2*e^2*x^2+5*d^2*m+6*d*e*x+6*d^2)/(m+1)/(m+2)/(m+3)*exp(1/2*m*(-I*Pi*csgn(I*f*x)^3+I*Pi*csgn(I*f*x)^2*csgn(I*f)+I*Pi*csgn(I*f*x)^2*csgn(I*x)-I*Pi*csgn(I*f*x)*csgn(I*f)*csgn(I*x)+2*ln(f)+2*ln(x)))*ln(x^n)+1/2*x*(I*Pi*b*e^2*m^5*x^2*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*e^2*m^5*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+51*I*Pi*b*e^2*m^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+51*I*Pi*b*e^2*m^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-2*I*Pi*b*d*e*m^5*x*csgn(I*c*x^n)^3-74*b*d^2*m^2*n-120*b*d^2*m*n+72*b*d*e*x*ln(c)+12*I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+12*I*Pi*b*e^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+96*I*Pi*b*d^2*m*csgn(I*x^n)*csgn(I*c*x^n)^2+96*I*Pi*b*d^2*m*csgn(I*c*x^n)^2*csgn(I*c)+2*a*e^2*m^5*x^2-2*b*d^2*m^4*n+72*a*d^2-20*b*d^2*m^3*n+94*a*d^2*m^3+194*a*d^2*m^2+192*a*d^2*m+18*a*e^2*m^4*x^2+24*a*e^2*x^2-72*b*d^2*n+22*a*d^2*m^4+2*a*d^2*m^5+2*ln(c)*b*d^2*m^5+22*ln(c)*b*d^2*m^4+94*ln(c)*b*d^2*m^3+194*ln(c)*b*d^2*m^2+192*ln(c)*b*d^2*m+24*b*e^2*x^2*ln(c)+72*a*d*e*x+72*b*d^2*ln(c)+40*I*Pi*b*e^2*m*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+40*I*Pi*b*e^2*m*x^2*csgn(I*c*x^n)^2*csgn(I*c)-97*I*Pi*b*d^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-36*I*Pi*b*d*e*x*csgn(I*c*x^n)^3-31*I*Pi*b*e^2*m^3*x^2*csgn(I*c*x^n)^3-51*I*Pi*b*e^2*m^2*x^2*csgn(I*c*x^n)^3-I*Pi*b*e^2*m^5*x^2*csgn(I*c*x^n)^3-4*b*d*e*m^4*n*x-12*b*e^2*m^3*n*x^2+40*a*d*e*m^4*x+4*a*d*e*m^5*x-76*I*Pi*b*d*e*m^3*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-136*I*Pi*b*d*e*m^2*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-114*I*Pi*b*d*e*m*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-8*b*e^2*n*x^2-26*b*e^2*m^2*n*x^2-88*b*d*e*m^2*n*x-24*b*e^2*m*n*x^2-96*b*d*e*m*n*x+I*Pi*b*d^2*m^5*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*d^2*m^5*csgn(I*c*x^n)^2*csgn(I*c)-36*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+47*I*Pi*b*d^2*m^3*csgn(I*x^n)*csgn(I*c*x^n)^2+62*ln(c)*b*e^2*m^3*x^2+102*ln(c)*b*e^2*m^2*x^2+80*ln(c)*b*e^2*m*x^2+18*ln(c)*b*e^2*m^4*x^2+2*ln(c)*b*e^2*m^5*x^2+62*a*e^2*m^3*x^2+102*a*e^2*m^2*x^2+80*a*e^2*m*x^2+152*a*d*e*m^3*x+272*a*d*e*m^2*x+228*a*d*e*m*x-2*b*e^2*m^4*n*x^2-2*I*Pi*b*d*e*m^5*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-20*I*Pi*b*d*e*m^4*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+47*I*Pi*b*d^2*m^3*csgn(I*c*x^n)^2*csgn(I*c)-40*I*Pi*b*e^2*m*x^2*csgn(I*c*x^n)^3+97*I*Pi*b*d^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)^2+97*I*Pi*b*d^2*m^2*csgn(I*c*x^n)^2*csgn(I*c)-32*b*d*e*m^3*n*x+36*I*Pi*b*d*e*x*csgn(I*c*x^n)^2*csgn(I*c)-47*I*Pi*b*d^2*m^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-136*I*Pi*b*d*e*m^2*x*csgn(I*c*x^n)^3-47*I*Pi*b*d^2*m^3*csgn(I*c*x^n)^3-97*I*Pi*b*d^2*m^2*csgn(I*c*x^n)^3-36*I*Pi*b*d^2*csgn(I*c*x^n)^3-36*b*d*e*n*x+20*I*Pi*b*d*e*m^4*x*csgn(I*c*x^n)^2*csgn(I*c)-9*I*Pi*b*e^2*m^4*x^2*csgn(I*c*x^n)^3+11*I*Pi*b*d^2*m^4*csgn(I*x^n)*csgn(I*c*x^n)^2+11*I*Pi*b*d^2*m^4*csgn(I*c*x^n)^2*csgn(I*c)-9*I*Pi*b*e^2*m^4*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+20*I*Pi*b*d*e*m^4*x*csgn(I*x^n)*csgn(I*c*x^n)^2+152*ln(c)*b*d*e*m^3*x+272*ln(c)*b*d*e*m^2*x+228*ln(c)*b*d*e*m*x+4*ln(c)*b*d*e*m^5*x+40*ln(c)*b*d*e*m^4*x+36*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d^2*m^5*csgn(I*c*x^n)^3-31*I*Pi*b*e^2*m^3*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+76*I*Pi*b*d*e*m^3*x*csgn(I*x^n)*csgn(I*c*x^n)^2+76*I*Pi*b*d*e*m^3*x*csgn(I*c*x^n)^2*csgn(I*c)-51*I*Pi*b*e^2*m^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+136*I*Pi*b*d*e*m^2*x*csgn(I*x^n)*csgn(I*c*x^n)^2+136*I*Pi*b*d*e*m^2*x*csgn(I*c*x^n)^2*csgn(I*c)+9*I*Pi*b*e^2*m^4*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+9*I*Pi*b*e^2*m^4*x^2*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d^2*m^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-20*I*Pi*b*d*e*m^4*x*csgn(I*c*x^n)^3-11*I*Pi*b*d^2*m^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-12*I*Pi*b*e^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-96*I*Pi*b*d^2*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+36*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-36*I*Pi*b*d*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*e^2*m^5*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*I*Pi*b*d*e*m^5*x*csgn(I*x^n)*csgn(I*c*x^n)^2+2*I*Pi*b*d*e*m^5*x*csgn(I*c*x^n)^2*csgn(I*c)-40*I*Pi*b*e^2*m*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+114*I*Pi*b*d*e*m*x*csgn(I*x^n)*csgn(I*c*x^n)^2+114*I*Pi*b*d*e*m*x*csgn(I*c*x^n)^2*csgn(I*c)-114*I*Pi*b*d*e*m*x*csgn(I*c*x^n)^3+31*I*Pi*b*e^2*m^3*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+31*I*Pi*b*e^2*m^3*x^2*csgn(I*c*x^n)^2*csgn(I*c)-76*I*Pi*b*d*e*m^3*x*csgn(I*c*x^n)^3-11*I*Pi*b*d^2*m^4*csgn(I*c*x^n)^3-12*I*Pi*b*e^2*x^2*csgn(I*c*x^n)^3-96*I*Pi*b*d^2*m*csgn(I*c*x^n)^3)/(m+3)^2/(m+1)^2/(m+2)^2*exp(1/2*m*(-I*Pi*csgn(I*f*x)^3+I*Pi*csgn(I*f*x)^2*csgn(I*f)+I*Pi*csgn(I*f*x)^2*csgn(I*x)-I*Pi*csgn(I*f*x)*csgn(I*f)*csgn(I*x)+2*ln(f)+2*ln(x)))","C"
164,1,1122,95,0.240000," ","int((f*x)^m*(e*x+d)*(b*ln(c*x^n)+a),x)","\frac{\left(m x e +m d +e x +2 d \right) b x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right) m}{2}} \ln \left(x^{n}\right)}{\left(m +1\right) \left(m +2\right)}-\frac{\left(8 b d n -16 a d m -10 a e m x -2 b d \,m^{3} \ln \left(c \right)-10 b d \,m^{2} \ln \left(c \right)-16 b d m \ln \left(c \right)-10 a d \,m^{2}-8 a d -2 a e \,m^{3} x +2 b d \,m^{2} n -4 b e x \ln \left(c \right)-2 a d \,m^{3}-8 b d \ln \left(c \right)+2 b e \,m^{2} n x +4 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+8 b d m n +i \pi  b d \,m^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+5 i \pi  b d \,m^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+8 i \pi  b d m \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-8 a e \,m^{2} x -8 b e \,m^{2} x \ln \left(c \right)-10 b e m x \ln \left(c \right)-2 b e \,m^{3} x \ln \left(c \right)-8 i \pi  b d m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 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)-i \pi  b e \,m^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e \,m^{3} x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \,m^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 i \pi  b e \,m^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b e \,m^{2} x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+5 i \pi  b d \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-5 i \pi  b e m x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-5 i \pi  b e m x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  b d m \,\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 x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b e \,m^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 i \pi  b e \,m^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+5 i \pi  b e m x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e \,m^{3} x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  b d \,m^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \,m^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b e \,m^{2} x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-5 i \pi  b d \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-5 i \pi  b d \,m^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+5 i \pi  b e m x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-8 i \pi  b d m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 b e m n x +2 i \pi  b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 a e x +2 b e n x \right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right) m}{2}}}{2 \left(m +2\right)^{2} \left(m +1\right)^{2}}"," ",0,"b*x*(e*m*x+d*m+e*x+2*d)/(m+1)/(m+2)*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)*ln(x^n)-1/2*x*(8*b*d*n-16*a*d*m-10*a*e*m*x-2*ln(c)*b*d*m^3-10*ln(c)*b*d*m^2-16*ln(c)*b*d*m-10*a*d*m^2+I*Pi*b*e*m^3*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-8*a*d-2*a*e*m^3*x+2*b*d*m^2*n-4*b*e*x*ln(c)-2*a*d*m^3-8*b*d*ln(c)+2*b*e*m^2*n*x+8*b*d*m*n+4*I*Pi*b*e*m^2*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+5*I*Pi*b*d*m^2*csgn(I*c*x^n)^3+I*Pi*b*d*m^3*csgn(I*c*x^n)^3+4*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*d*m^3*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*m^3*csgn(I*c*x^n)^2*csgn(I*c)+5*I*Pi*b*e*m*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*b*e*m^3*x*csgn(I*c*x^n)^3-8*a*e*m^2*x+4*I*Pi*b*d*csgn(I*c*x^n)^3-8*ln(c)*b*e*m^2*x-10*ln(c)*b*e*m*x-2*ln(c)*b*e*m^3*x+4*I*Pi*b*e*m^2*x*csgn(I*c*x^n)^3-5*I*Pi*b*d*m^2*csgn(I*x^n)*csgn(I*c*x^n)^2-5*I*Pi*b*d*m^2*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*e*m^3*x*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b*e*m^2*x*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b*e*m^2*x*csgn(I*c*x^n)^2*csgn(I*c)+5*I*Pi*b*d*m^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-5*I*Pi*b*e*m*x*csgn(I*x^n)*csgn(I*c*x^n)^2-5*I*Pi*b*e*m*x*csgn(I*c*x^n)^2*csgn(I*c)+8*I*Pi*b*d*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*I*Pi*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*e*m^3*x*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d*m^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-8*I*Pi*b*d*m*csgn(I*c*x^n)^2*csgn(I*c)-2*I*Pi*b*e*x*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*e*x*csgn(I*c*x^n)^2*csgn(I*c)+4*b*e*m*n*x-4*a*e*x+2*b*e*n*x-4*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+8*I*Pi*b*d*m*csgn(I*c*x^n)^3+2*I*Pi*b*e*x*csgn(I*c*x^n)^3-4*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+5*I*Pi*b*e*m*x*csgn(I*c*x^n)^3-8*I*Pi*b*d*m*csgn(I*x^n)*csgn(I*c*x^n)^2)/(m+2)^2/(m+1)^2*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)","C"
165,1,371,46,0.156000," ","int((f*x)^m*(b*ln(c*x^n)+a),x)","\frac{b x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right) m}{2}} \ln \left(x^{n}\right)}{m +1}-\frac{\left(i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b m \mathrm{csgn}\left(i c \,x^{n}\right)^{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)-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 m \ln \left(c \right)-2 a m +2 b n -2 b \ln \left(c \right)-2 a \right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right) m}{2}}}{2 \left(m +1\right)^{2}}"," ",0,"b/(m+1)*x*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)*ln(x^n)-1/2*(I*Pi*b*m*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*m*csgn(I*c)*csgn(I*c*x^n)^2-I*Pi*b*m*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*m*csgn(I*c*x^n)^3+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)^3-2*b*m*ln(c)-2*a*m+2*b*n-2*b*ln(c)-2*a)/(m+1)^2*x*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)","C"
166,0,0,25,0.623000," ","int((f*x)^m*(b*ln(c*x^n)+a)/(e*x+d),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \left(f x \right)^{m}}{e x +d}\, dx"," ",0,"int((f*x)^m*(b*ln(c*x^n)+a)/(e*x+d),x)","F"
167,0,0,25,0.655000," ","int((f*x)^m*(b*ln(c*x^n)+a)/(e*x+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \left(f x \right)^{m}}{\left(e x +d \right)^{2}}\, dx"," ",0,"int((f*x)^m*(b*ln(c*x^n)+a)/(e*x+d)^2,x)","F"
168,0,0,17,0.651000," ","int(x*(b*x+a)^m*ln(c*x^n),x)","\int x \left(b x +a \right)^{m} \ln \left(c \,x^{n}\right)\, dx"," ",0,"int(x*(b*x+a)^m*ln(c*x^n),x)","F"
169,0,0,70,0.541000," ","int((b*x+a)^m*ln(c*x^n),x)","\int \left(b x +a \right)^{m} \ln \left(c \,x^{n}\right)\, dx"," ",0,"int((b*x+a)^m*ln(c*x^n),x)","F"
170,0,0,19,0.558000," ","int((b*x+a)^m*ln(c*x^n)/x,x)","\int \frac{\left(b x +a \right)^{m} \ln \left(c \,x^{n}\right)}{x}\, dx"," ",0,"int((b*x+a)^m*ln(c*x^n)/x,x)","F"
171,1,266,42,0.214000," ","int(x^5*(e*x^2+d)*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b e \,x^{8} \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 e \,x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}+\frac{i \pi  b e \,x^{8} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}-\frac{i \pi  b e \,x^{8} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16}-\frac{i \pi  b d \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{12}+\frac{i \pi  b d \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}+\frac{i \pi  b d \,x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}-\frac{i \pi  b d \,x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12}-\frac{b e n \,x^{8}}{64}+\frac{b e \,x^{8} \ln \left(c \right)}{8}+\frac{a e \,x^{8}}{8}-\frac{b d n \,x^{6}}{36}+\frac{b d \,x^{6} \ln \left(c \right)}{6}+\frac{a d \,x^{6}}{6}+\frac{\left(3 e \,x^{2}+4 d \right) b \,x^{6} \ln \left(x^{n}\right)}{24}"," ",0,"1/24*b*x^6*(3*e*x^2+4*d)*ln(x^n)+1/16*I*Pi*b*e*x^8*csgn(I*x^n)*csgn(I*c*x^n)^2-1/16*I*Pi*b*e*x^8*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/16*I*Pi*b*e*x^8*csgn(I*c*x^n)^3+1/16*I*Pi*b*e*x^8*csgn(I*c*x^n)^2*csgn(I*c)+1/8*ln(c)*b*e*x^8-1/64*b*e*n*x^8+1/8*a*e*x^8+1/12*I*Pi*b*d*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2-1/12*I*Pi*b*d*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/12*I*Pi*b*d*x^6*csgn(I*c*x^n)^3+1/12*I*Pi*b*d*x^6*csgn(I*c*x^n)^2*csgn(I*c)+1/6*ln(c)*b*d*x^6-1/36*b*d*n*x^6+1/6*a*d*x^6","C"
172,1,266,42,0.207000," ","int(x^3*(e*x^2+d)*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b e \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{12}+\frac{i \pi  b e \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}+\frac{i \pi  b e \,x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}-\frac{i \pi  b e \,x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12}-\frac{i \pi  b d \,x^{4} \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 d \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{i \pi  b d \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b d \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{b e n \,x^{6}}{36}+\frac{b e \,x^{6} \ln \left(c \right)}{6}+\frac{a e \,x^{6}}{6}-\frac{b d n \,x^{4}}{16}+\frac{b d \,x^{4} \ln \left(c \right)}{4}+\frac{a d \,x^{4}}{4}+\frac{\left(2 e \,x^{2}+3 d \right) b \,x^{4} \ln \left(x^{n}\right)}{12}"," ",0,"1/12*b*x^4*(2*e*x^2+3*d)*ln(x^n)+1/12*I*Pi*b*e*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2-1/12*I*Pi*b*e*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/12*I*Pi*b*e*x^6*csgn(I*c*x^n)^3+1/12*I*Pi*b*e*x^6*csgn(I*c*x^n)^2*csgn(I*c)+1/6*ln(c)*b*e*x^6-1/36*b*e*n*x^6+1/6*a*e*x^6+1/8*I*Pi*b*d*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I*Pi*b*d*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/8*I*Pi*b*d*x^4*csgn(I*c*x^n)^3+1/8*I*Pi*b*d*x^4*csgn(I*c*x^n)^2*csgn(I*c)+1/4*b*d*x^4*ln(c)-1/16*b*d*n*x^4+1/4*a*d*x^4","C"
173,1,265,41,0.225000," ","int(x*(e*x^2+d)*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b e \,x^{4} \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^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{i \pi  b e \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b e \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\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{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 d \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{b e n \,x^{4}}{16}+\frac{b e \,x^{4} \ln \left(c \right)}{4}+\frac{a e \,x^{4}}{4}-\frac{b d n \,x^{2}}{4}+\frac{b d \,x^{2} \ln \left(c \right)}{2}+\frac{a d \,x^{2}}{2}+\frac{\left(e \,x^{2}+2 d \right) b \,x^{2} \ln \left(x^{n}\right)}{4}"," ",0,"1/4*b*x^2*(e*x^2+2*d)*ln(x^n)+1/8*I*Pi*b*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I*Pi*b*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/8*I*Pi*b*e*x^4*csgn(I*c*x^n)^3+1/8*I*Pi*b*e*x^4*csgn(I*c*x^n)^2*csgn(I*c)+1/4*b*e*x^4*ln(c)-1/16*b*e*n*x^4+1/4*a*e*x^4+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*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*Pi*b*d*x^2*csgn(I*c*x^n)^3+1/4*I*Pi*b*d*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/2*b*d*x^2*ln(c)-1/4*b*d*n*x^2+1/2*a*d*x^2","C"
174,1,257,46,0.272000," ","int((e*x^2+d)*(b*ln(c*x^n)+a)/x,x)","-\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{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 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{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-\frac{b d n \ln \left(x \right)^{2}}{2}-\frac{b e n \,x^{2}}{4}+\frac{b e \,x^{2} \ln \left(c \right)}{2}+\frac{a e \,x^{2}}{2}+b d \ln \left(c \right) \ln \left(x \right)+a d \ln \left(x \right)+\left(\frac{b e \,x^{2}}{2}+b d \ln \left(x \right)\right) \ln \left(x^{n}\right)"," ",0,"(1/2*e*b*x^2+b*d*ln(x))*ln(x^n)-1/2*b*d*n*ln(x)^2+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+1/2*I*ln(x)*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*ln(x)*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*ln(x)*Pi*b*d*csgn(I*c*x^n)^3+1/2*I*ln(x)*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+ln(x)*ln(c)*b*d+ln(x)*a*d","C"
175,1,266,46,0.232000," ","int((e*x^2+d)*(b*ln(c*x^n)+a)/x^3,x)","-\frac{\left(-2 e \,x^{2} \ln \left(x \right)+d \right) b \ln \left(x^{n}\right)}{2 x^{2}}-\frac{2 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(x \right)-2 i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-2 i \pi  b e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+2 i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+2 b e n \,x^{2} \ln \left(x \right)^{2}-4 b e \,x^{2} \ln \left(c \right) \ln \left(x \right)-4 a e \,x^{2} \ln \left(x \right)-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)+i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+b d n +2 b d \ln \left(c \right)+2 a d}{4 x^{2}}"," ",0,"-1/2*b*(-2*e*ln(x)*x^2+d)/x^2*ln(x^n)-1/4*(-2*I*ln(x)*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^2+2*I*ln(x)*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^2+2*I*ln(x)*Pi*b*e*csgn(I*c*x^n)^3*x^2-2*I*ln(x)*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^2+I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*d*csgn(I*c*x^n)^3+I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+2*b*e*n*ln(x)^2*x^2-4*ln(x)*ln(c)*b*e*x^2-4*ln(x)*a*e*x^2+2*b*d*ln(c)+b*d*n+2*a*d)/x^2","C"
176,1,248,49,0.155000," ","int((e*x^2+d)*(b*ln(c*x^n)+a)/x^5,x)","-\frac{\left(2 e \,x^{2}+d \right) b \ln \left(x^{n}\right)}{4 x^{4}}-\frac{-4 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 i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-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)+2 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+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}+4 b e n \,x^{2}+8 b e \,x^{2} \ln \left(c \right)+8 a e \,x^{2}+b d n +4 b d \ln \left(c \right)+4 a d}{16 x^{4}}"," ",0,"-1/4*b*(2*e*x^2+d)/x^4*ln(x^n)-1/16*(4*I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*Pi*b*e*x^2*csgn(I*c*x^n)^3+4*I*Pi*b*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+8*b*e*x^2*ln(c)+4*b*e*n*x^2+8*a*e*x^2+2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*b*d*csgn(I*c*x^n)^3+2*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+4*b*d*ln(c)+b*d*n+4*a*d)/x^4","C"
177,1,266,42,0.201000," ","int(x^4*(e*x^2+d)*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b e \,x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{14}+\frac{i \pi  b e \,x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{14}+\frac{i \pi  b e \,x^{7} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{14}-\frac{i \pi  b e \,x^{7} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{14}-\frac{i \pi  b d \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{10}+\frac{i \pi  b d \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}+\frac{i \pi  b d \,x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}-\frac{i \pi  b d \,x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10}-\frac{b e n \,x^{7}}{49}+\frac{b e \,x^{7} \ln \left(c \right)}{7}+\frac{a e \,x^{7}}{7}-\frac{b d n \,x^{5}}{25}+\frac{b d \,x^{5} \ln \left(c \right)}{5}+\frac{a d \,x^{5}}{5}+\frac{\left(5 e \,x^{2}+7 d \right) b \,x^{5} \ln \left(x^{n}\right)}{35}"," ",0,"1/35*b*x^5*(5*e*x^2+7*d)*ln(x^n)+1/14*I*Pi*b*e*x^7*csgn(I*x^n)*csgn(I*c*x^n)^2-1/14*I*Pi*b*e*x^7*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/14*I*Pi*b*e*x^7*csgn(I*c*x^n)^3+1/14*I*Pi*b*e*x^7*csgn(I*c*x^n)^2*csgn(I*c)+1/7*ln(c)*b*e*x^7-1/49*b*e*n*x^7+1/7*a*e*x^7+1/10*I*Pi*b*d*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2-1/10*I*Pi*b*d*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/10*I*Pi*b*d*x^5*csgn(I*c*x^n)^3+1/10*I*Pi*b*d*x^5*csgn(I*c*x^n)^2*csgn(I*c)+1/5*ln(c)*b*d*x^5-1/25*b*d*n*x^5+1/5*a*d*x^5","C"
178,1,266,42,0.209000," ","int(x^2*(e*x^2+d)*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b e \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{10}+\frac{i \pi  b e \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}+\frac{i \pi  b e \,x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}-\frac{i \pi  b e \,x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10}-\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 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  b d \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}-\frac{b e n \,x^{5}}{25}+\frac{b e \,x^{5} \ln \left(c \right)}{5}+\frac{a e \,x^{5}}{5}-\frac{b d n \,x^{3}}{9}+\frac{b d \,x^{3} \ln \left(c \right)}{3}+\frac{a d \,x^{3}}{3}+\frac{\left(3 e \,x^{2}+5 d \right) b \,x^{3} \ln \left(x^{n}\right)}{15}"," ",0,"1/15*b*x^3*(3*e*x^2+5*d)*ln(x^n)+1/10*I*Pi*b*e*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2-1/10*I*Pi*b*e*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/10*I*Pi*b*e*x^5*csgn(I*c*x^n)^3+1/10*I*Pi*b*e*x^5*csgn(I*c*x^n)^2*csgn(I*c)+1/5*b*e*x^5*ln(c)-1/25*b*e*n*x^5+1/5*a*e*x^5+1/6*I*Pi*b*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-1/6*I*Pi*b*d*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/6*I*Pi*b*d*x^3*csgn(I*c*x^n)^3+1/6*I*Pi*b*d*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/3*b*d*x^3*ln(c)-1/9*b*d*n*x^3+1/3*a*d*x^3","C"
179,1,247,44,0.208000," ","int((e*x^2+d)*(b*ln(c*x^n)+a),x)","-\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{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}+\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{i \pi  b d x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}-\frac{b e n \,x^{3}}{9}+\frac{b e \,x^{3} \ln \left(c \right)}{3}+\frac{a e \,x^{3}}{3}-b d n x +b d x \ln \left(c \right)+a d x +\frac{\left(e \,x^{2}+3 d \right) b x \ln \left(x^{n}\right)}{3}"," ",0,"1/3*b*x*(e*x^2+3*d)*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)+1/2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*x-1/2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-1/2*I*Pi*b*d*csgn(I*c*x^n)^3*x+1/2*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)*x+1/3*b*e*x^3*ln(c)-1/9*b*e*n*x^3+1/3*a*e*x^3+b*d*x*ln(c)-b*d*n*x+a*d*x","C"
180,1,249,44,0.217000," ","int((e*x^2+d)*(b*ln(c*x^n)+a)/x^2,x)","-\frac{\left(-e \,x^{2}+d \right) b \ln \left(x^{n}\right)}{x}-\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)-i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-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)+i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b e n \,x^{2}-2 b e \,x^{2} \ln \left(c \right)-2 a e \,x^{2}+2 b d n +2 b d \ln \left(c \right)+2 a d}{2 x}"," ",0,"-b*(-e*x^2+d)/x*ln(x^n)-1/2*(-I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*b*e*x^2*csgn(I*c*x^n)^3-I*Pi*b*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*d*csgn(I*c*x^n)^3+I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)-2*b*e*x^2*ln(c)+2*b*e*n*x^2-2*a*e*x^2+2*b*d*ln(c)+2*b*d*n+2*a*d)/x","C"
181,1,249,49,0.151000," ","int((e*x^2+d)*(b*ln(c*x^n)+a)/x^4,x)","-\frac{\left(3 e \,x^{2}+d \right) b \ln \left(x^{n}\right)}{3 x^{3}}-\frac{-9 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)+9 i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  b e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-3 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)+3 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+18 b e n \,x^{2}+18 b e \,x^{2} \ln \left(c \right)+18 a e \,x^{2}+2 b d n +6 b d \ln \left(c \right)+6 a d}{18 x^{3}}"," ",0,"-1/3*b*(3*e*x^2+d)/x^3*ln(x^n)-1/18*(9*I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-9*I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-9*I*Pi*b*e*x^2*csgn(I*c*x^n)^3+9*I*Pi*b*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+18*b*e*x^2*ln(c)+18*b*e*n*x^2+18*a*e*x^2+3*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*Pi*b*d*csgn(I*c*x^n)^3+3*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+6*b*d*ln(c)+2*b*d*n+6*a*d)/x^3","C"
182,1,251,49,0.155000," ","int((e*x^2+d)*(b*ln(c*x^n)+a)/x^6,x)","-\frac{\left(5 e \,x^{2}+3 d \right) b \ln \left(x^{n}\right)}{15 x^{5}}-\frac{-75 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)+75 i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+75 i \pi  b e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-75 i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-45 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)+45 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+45 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-45 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+50 b e n \,x^{2}+150 b e \,x^{2} \ln \left(c \right)+150 a e \,x^{2}+18 b d n +90 b d \ln \left(c \right)+90 a d}{450 x^{5}}"," ",0,"-1/15*b*(5*e*x^2+3*d)/x^5*ln(x^n)-1/450*(75*I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-75*I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-75*I*Pi*b*e*x^2*csgn(I*c*x^n)^3+75*I*Pi*b*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+150*b*e*x^2*ln(c)+50*b*e*n*x^2+150*a*e*x^2+45*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-45*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-45*I*Pi*b*d*csgn(I*c*x^n)^3+45*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+90*b*d*ln(c)+18*b*d*n+90*a*d)/x^5","C"
183,1,434,66,0.211000," ","int(x^5*(e*x^2+d)^2*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b \,e^{2} x^{10} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{20}+\frac{i \pi  b \,e^{2} x^{10} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{20}+\frac{i \pi  b \,e^{2} x^{10} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{20}-\frac{i \pi  b \,e^{2} x^{10} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{20}-\frac{i \pi  b d e \,x^{8} \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 d e \,x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{i \pi  b d e \,x^{8} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b d e \,x^{8} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{b \,e^{2} n \,x^{10}}{100}+\frac{b \,e^{2} x^{10} \ln \left(c \right)}{10}+\frac{a \,e^{2} x^{10}}{10}-\frac{i \pi  b \,d^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{12}+\frac{i \pi  b \,d^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}+\frac{i \pi  b \,d^{2} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}-\frac{i \pi  b \,d^{2} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12}-\frac{b d e n \,x^{8}}{32}+\frac{b d e \,x^{8} \ln \left(c \right)}{4}+\frac{a d e \,x^{8}}{4}-\frac{b \,d^{2} n \,x^{6}}{36}+\frac{b \,d^{2} x^{6} \ln \left(c \right)}{6}+\frac{a \,d^{2} x^{6}}{6}+\frac{\left(6 e^{2} x^{4}+15 d e \,x^{2}+10 d^{2}\right) b \,x^{6} \ln \left(x^{n}\right)}{60}"," ",0,"1/60*b*x^6*(6*e^2*x^4+15*d*e*x^2+10*d^2)*ln(x^n)-1/20*I*Pi*b*e^2*x^10*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I*Pi*b*d*e*x^8*csgn(I*c*x^n)^2*csgn(I*c)+1/12*I*Pi*b*d^2*x^6*csgn(I*c*x^n)^2*csgn(I*c)-1/12*I*Pi*b*d^2*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/10*ln(c)*b*e^2*x^10-1/100*b*e^2*n*x^10+1/10*a*e^2*x^10+1/12*I*Pi*b*d^2*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2-1/8*I*Pi*b*d*e*x^8*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/20*I*Pi*b*e^2*x^10*csgn(I*c*x^n)^3-1/8*I*Pi*b*d*e*x^8*csgn(I*c*x^n)^3+1/4*ln(c)*b*d*e*x^8-1/32*b*d*e*n*x^8+1/4*a*d*e*x^8-1/12*I*Pi*b*d^2*x^6*csgn(I*c*x^n)^3+1/20*I*Pi*b*e^2*x^10*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*I*Pi*b*d*e*x^8*csgn(I*x^n)*csgn(I*c*x^n)^2+1/20*I*Pi*b*e^2*x^10*csgn(I*c*x^n)^2*csgn(I*c)+1/6*ln(c)*b*d^2*x^6-1/36*b*d^2*n*x^6+1/6*a*d^2*x^6","C"
184,1,434,66,0.213000," ","int(x^3*(e*x^2+d)^2*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b \,e^{2} x^{8} \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 \,e^{2} x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}+\frac{i \pi  b \,e^{2} x^{8} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}-\frac{i \pi  b \,e^{2} x^{8} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16}-\frac{i \pi  b d e \,x^{6} \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 d e \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}+\frac{i \pi  b d e \,x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}-\frac{i \pi  b d e \,x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}-\frac{b \,e^{2} n \,x^{8}}{64}+\frac{b \,e^{2} x^{8} \ln \left(c \right)}{8}+\frac{a \,e^{2} x^{8}}{8}-\frac{i \pi  b \,d^{2} x^{4} \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 \,d^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{i \pi  b \,d^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b \,d^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{b d e n \,x^{6}}{18}+\frac{b d e \,x^{6} \ln \left(c \right)}{3}+\frac{a d e \,x^{6}}{3}-\frac{b \,d^{2} n \,x^{4}}{16}+\frac{b \,d^{2} x^{4} \ln \left(c \right)}{4}+\frac{a \,d^{2} x^{4}}{4}+\frac{\left(3 e^{2} x^{4}+8 d e \,x^{2}+6 d^{2}\right) b \,x^{4} \ln \left(x^{n}\right)}{24}"," ",0,"1/24*b*x^4*(3*e^2*x^4+8*d*e*x^2+6*d^2)*ln(x^n)+1/6*I*Pi*b*d*e*x^6*csgn(I*c*x^n)^2*csgn(I*c)-1/6*I*Pi*b*d*e*x^6*csgn(I*c*x^n)^3+1/16*I*Pi*b*e^2*x^8*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*I*Pi*b*d^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)+1/8*ln(c)*b*e^2*x^8-1/64*b*e^2*n*x^8+1/8*a*e^2*x^8-1/8*I*Pi*b*d^2*x^4*csgn(I*c*x^n)^3-1/16*I*Pi*b*e^2*x^8*csgn(I*c*x^n)^3-1/6*I*Pi*b*d*e*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/6*I*Pi*b*d*e*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2+1/3*ln(c)*b*d*e*x^6-1/18*b*d*e*n*x^6+1/3*a*d*e*x^6-1/16*I*Pi*b*e^2*x^8*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/8*I*Pi*b*d^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I*Pi*b*d^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1/16*I*Pi*b*e^2*x^8*csgn(I*c*x^n)^2*csgn(I*c)+1/4*b*d^2*x^4*ln(c)-1/16*b*d^2*n*x^4+1/4*a*d^2*x^4","C"
185,1,433,66,0.223000," ","int(x*(e*x^2+d)^2*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b \,e^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{12}+\frac{i \pi  b \,e^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}+\frac{i \pi  b \,e^{2} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}-\frac{i \pi  b \,e^{2} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12}-\frac{i \pi  b d e \,x^{4} \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 d e \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  b d e \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{i \pi  b d e \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{b \,e^{2} n \,x^{6}}{36}+\frac{b \,e^{2} x^{6} \ln \left(c \right)}{6}+\frac{a \,e^{2} x^{6}}{6}-\frac{i \pi  b \,d^{2} 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 \,d^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  b \,d^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{i \pi  b \,d^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{b d e n \,x^{4}}{8}+\frac{b d e \,x^{4} \ln \left(c \right)}{2}+\frac{a d e \,x^{4}}{2}-\frac{b \,d^{2} n \,x^{2}}{4}+\frac{b \,d^{2} x^{2} \ln \left(c \right)}{2}+\frac{a \,d^{2} x^{2}}{2}+\frac{\left(e^{2} x^{4}+3 d e \,x^{2}+3 d^{2}\right) b \,x^{2} \ln \left(x^{n}\right)}{6}"," ",0,"1/6*b*x^2*(e^2*x^4+3*d*e*x^2+3*d^2)*ln(x^n)-1/12*I*Pi*b*e^2*x^6*csgn(I*c*x^n)^3-1/4*I*Pi*b*d*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*Pi*b*d*e*x^4*csgn(I*c*x^n)^3+1/4*I*Pi*b*d^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/6*b*e^2*x^6*ln(c)-1/36*b*e^2*n*x^6+1/6*a*e^2*x^6+1/12*I*Pi*b*e^2*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2+1/12*I*Pi*b*e^2*x^6*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I*Pi*b*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*Pi*b*d*e*x^4*csgn(I*c*x^n)^2*csgn(I*c)+1/2*b*d*e*x^4*ln(c)-1/8*b*d*e*n*x^4+1/2*a*d*e*x^4-1/4*I*Pi*b*d^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*Pi*b*d^2*x^2*csgn(I*c*x^n)^3+1/4*I*Pi*b*d*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1/12*I*Pi*b*e^2*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*b*d^2*x^2*ln(c)-1/4*b*d^2*n*x^2+1/2*a*d^2*x^2","C"
186,1,423,81,0.297000," ","int((e*x^2+d)^2*(b*ln(c*x^n)+a)/x,x)","-\frac{i \pi  b \,e^{2} x^{4} \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^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{i \pi  b d e \,x^{2} \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 e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{i \pi  b d e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}-\frac{b \,e^{2} n \,x^{4}}{16}+\frac{b \,e^{2} x^{4} \ln \left(c \right)}{4}+\frac{a \,e^{2} x^{4}}{4}-\frac{i \pi  b \,d^{2} \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^{2} \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^{2} \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^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-\frac{b \,d^{2} n \ln \left(x \right)^{2}}{2}-\frac{b d e n \,x^{2}}{2}+b d e \,x^{2} \ln \left(c \right)+a d e \,x^{2}+b \,d^{2} \ln \left(c \right) \ln \left(x \right)+a \,d^{2} \ln \left(x \right)+\left(\frac{b \,e^{2} x^{4}}{4}+b d e \,x^{2}+b \,d^{2} \ln \left(x \right)\right) \ln \left(x^{n}\right)"," ",0,"(1/4*b*e^2*x^4+b*d*e*x^2+b*d^2*ln(x))*ln(x^n)-1/2*b*d^2*n*ln(x)^2-1/8*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^3+1/2*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*Pi*ln(x)*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*Pi*ln(x)*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*Pi*ln(x)*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*b*e^2*x^4*ln(c)-1/16*b*e^2*n*x^4+1/4*a*e^2*x^4+ln(c)*b*d*e*x^2-1/2*b*d*e*n*x^2+a*d*e*x^2-1/8*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^3-1/2*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*Pi*ln(x)*b*d^2*csgn(I*c*x^n)^3+b*d^2*ln(c)*ln(x)+a*d^2*ln(x)","C"
187,1,433,83,0.319000," ","int((e*x^2+d)^2*(b*ln(c*x^n)+a)/x^3,x)","-\frac{\left(-e^{2} x^{4}-4 d e \,x^{2} \ln \left(x \right)+d^{2}\right) b \ln \left(x^{n}\right)}{2 x^{2}}-\frac{i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 i \pi  b d 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(x \right)-4 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-4 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+4 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+4 b d e n \,x^{2} \ln \left(x \right)^{2}+b \,e^{2} n \,x^{4}-2 b \,e^{2} x^{4} \ln \left(c \right)-2 a \,e^{2} x^{4}-8 b d e \,x^{2} \ln \left(c \right) \ln \left(x \right)-8 a d e \,x^{2} \ln \left(x \right)-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+b \,d^{2} n +2 b \,d^{2} \ln \left(c \right)+2 a \,d^{2}}{4 x^{2}}"," ",0,"-1/2*b*(-e^2*x^4-4*d*e*ln(x)*x^2+d^2)/x^2*ln(x^n)-1/4*(-I*Pi*b*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)-4*I*ln(x)*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^2+I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*ln(x)*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^2-I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4*I*ln(x)*Pi*b*d*e*csgn(I*c*x^n)^3*x^2+I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*e^2*x^4*csgn(I*c*x^n)^3-2*b*e^2*x^4*ln(c)-I*Pi*b*d^2*csgn(I*c*x^n)^3-I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*ln(x)*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^2+4*b*d*e*n*ln(x)^2*x^2+b*e^2*n*x^4-8*ln(x)*ln(c)*b*d*e*x^2-2*a*e^2*x^4-8*ln(x)*a*d*e*x^2+2*b*d^2*ln(c)+b*d^2*n+2*a*d^2)/x^2","C"
188,1,434,82,0.247000," ","int((e*x^2+d)^2*(b*ln(c*x^n)+a)/x^5,x)","-\frac{\left(-4 e^{2} x^{4} \ln \left(x \right)+4 d e \,x^{2}+d^{2}\right) b \ln \left(x^{n}\right)}{4 x^{4}}-\frac{8 i \pi  b \,e^{2} 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(x \right)-8 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-8 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+8 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+8 b \,e^{2} n \,x^{4} \ln \left(x \right)^{2}-16 b \,e^{2} x^{4} \ln \left(c \right) \ln \left(x \right)-16 a \,e^{2} x^{4} \ln \left(x \right)-8 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+8 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-8 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 i \pi  b \,d^{2} \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 \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+8 b d e n \,x^{2}+16 b d e \,x^{2} \ln \left(c \right)+16 a d e \,x^{2}+b \,d^{2} n +4 b \,d^{2} \ln \left(c \right)+4 a \,d^{2}}{16 x^{4}}"," ",0,"-1/4*b*(-4*e^2*ln(x)*x^4+4*d*e*x^2+d^2)/x^4*ln(x^n)-1/16*(8*I*ln(x)*Pi*b*e^2*csgn(I*c*x^n)^3*x^4-8*I*ln(x)*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*x^4+2*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)-2*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-8*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+8*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+2*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+8*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+8*b*e^2*n*ln(x)^2*x^4-16*ln(x)*ln(c)*b*e^2*x^4+8*I*ln(x)*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^4-2*I*Pi*b*d^2*csgn(I*c*x^n)^3-8*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^3-8*I*ln(x)*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^4-16*ln(x)*a*e^2*x^4+16*b*d*e*x^2*ln(c)+8*b*d*e*n*x^2+16*a*d*e*x^2+4*b*d^2*ln(c)+b*d^2*n+4*a*d^2)/x^4","C"
189,1,434,66,0.217000," ","int(x^4*(e*x^2+d)^2*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b \,e^{2} x^{9} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{18}+\frac{i \pi  b \,e^{2} x^{9} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{18}+\frac{i \pi  b \,e^{2} x^{9} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{18}-\frac{i \pi  b \,e^{2} x^{9} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{18}-\frac{i \pi  b d e \,x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{7}+\frac{i \pi  b d e \,x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{7}+\frac{i \pi  b d e \,x^{7} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{7}-\frac{i \pi  b d e \,x^{7} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{7}-\frac{b \,e^{2} n \,x^{9}}{81}+\frac{b \,e^{2} x^{9} \ln \left(c \right)}{9}+\frac{a \,e^{2} x^{9}}{9}-\frac{i \pi  b \,d^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{10}+\frac{i \pi  b \,d^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}+\frac{i \pi  b \,d^{2} x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}-\frac{i \pi  b \,d^{2} x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10}-\frac{2 b d e n \,x^{7}}{49}+\frac{2 b d e \,x^{7} \ln \left(c \right)}{7}+\frac{2 a d e \,x^{7}}{7}-\frac{b \,d^{2} n \,x^{5}}{25}+\frac{b \,d^{2} x^{5} \ln \left(c \right)}{5}+\frac{a \,d^{2} x^{5}}{5}+\frac{\left(35 e^{2} x^{4}+90 d e \,x^{2}+63 d^{2}\right) b \,x^{5} \ln \left(x^{n}\right)}{315}"," ",0,"1/315*b*x^5*(35*e^2*x^4+90*d*e*x^2+63*d^2)*ln(x^n)+1/18*I*Pi*b*e^2*x^9*csgn(I*x^n)*csgn(I*c*x^n)^2+1/10*I*Pi*b*d^2*x^5*csgn(I*c*x^n)^2*csgn(I*c)+1/7*I*Pi*b*d*e*x^7*csgn(I*x^n)*csgn(I*c*x^n)^2+1/10*I*Pi*b*d^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2+1/9*ln(c)*b*e^2*x^9-1/81*b*e^2*n*x^9+1/9*a*e^2*x^9-1/18*I*Pi*b*e^2*x^9*csgn(I*c*x^n)^3-1/7*I*Pi*b*d*e*x^7*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/10*I*Pi*b*d^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/10*I*Pi*b*d^2*x^5*csgn(I*c*x^n)^3+2/7*ln(c)*b*d*e*x^7-2/49*b*d*e*n*x^7+2/7*a*d*e*x^7+1/18*I*Pi*b*e^2*x^9*csgn(I*c*x^n)^2*csgn(I*c)-1/7*I*Pi*b*d*e*x^7*csgn(I*c*x^n)^3+1/7*I*Pi*b*d*e*x^7*csgn(I*c*x^n)^2*csgn(I*c)-1/18*I*Pi*b*e^2*x^9*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/5*ln(c)*b*d^2*x^5-1/25*b*d^2*n*x^5+1/5*a*d^2*x^5","C"
190,1,434,66,0.217000," ","int(x^2*(e*x^2+d)^2*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b \,e^{2} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{14}+\frac{i \pi  b \,e^{2} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{14}+\frac{i \pi  b \,e^{2} x^{7} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{14}-\frac{i \pi  b \,e^{2} x^{7} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{14}-\frac{i \pi  b d e \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{5}+\frac{i \pi  b d e \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{5}+\frac{i \pi  b d e \,x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{5}-\frac{i \pi  b d e \,x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{5}-\frac{b \,e^{2} n \,x^{7}}{49}+\frac{b \,e^{2} x^{7} \ln \left(c \right)}{7}+\frac{a \,e^{2} x^{7}}{7}-\frac{i \pi  b \,d^{2} 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 \,d^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}+\frac{i \pi  b \,d^{2} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}-\frac{i \pi  b \,d^{2} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}-\frac{2 b d e n \,x^{5}}{25}+\frac{2 b d e \,x^{5} \ln \left(c \right)}{5}+\frac{2 a d e \,x^{5}}{5}-\frac{b \,d^{2} n \,x^{3}}{9}+\frac{b \,d^{2} x^{3} \ln \left(c \right)}{3}+\frac{a \,d^{2} x^{3}}{3}+\frac{\left(15 e^{2} x^{4}+42 d e \,x^{2}+35 d^{2}\right) b \,x^{3} \ln \left(x^{n}\right)}{105}"," ",0,"1/105*b*x^3*(15*e^2*x^4+42*d*e*x^2+35*d^2)*ln(x^n)+1/6*I*Pi*b*d^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2-1/6*I*Pi*b*d^2*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/14*I*Pi*b*e^2*x^7*csgn(I*x^n)*csgn(I*c*x^n)^2-1/6*I*Pi*b*d^2*x^3*csgn(I*c*x^n)^3+1/7*ln(c)*b*e^2*x^7-1/49*b*e^2*n*x^7+1/7*a*e^2*x^7-1/14*I*Pi*b*e^2*x^7*csgn(I*c*x^n)^3+1/5*I*Pi*b*d*e*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2-1/5*I*Pi*b*d*e*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/5*I*Pi*b*d*e*x^5*csgn(I*c*x^n)^2*csgn(I*c)+2/5*b*d*e*x^5*ln(c)-2/25*b*d*e*n*x^5+2/5*a*d*e*x^5-1/5*I*Pi*b*d*e*x^5*csgn(I*c*x^n)^3-1/14*I*Pi*b*e^2*x^7*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/14*I*Pi*b*e^2*x^7*csgn(I*c*x^n)^2*csgn(I*c)+1/6*I*Pi*b*d^2*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/3*b*d^2*x^3*ln(c)-1/9*b*d^2*n*x^3+1/3*a*d^2*x^3","C"
191,1,416,78,0.219000," ","int((e*x^2+d)^2*(b*ln(c*x^n)+a),x)","-\frac{i \pi  b \,e^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{10}+\frac{i \pi  b \,e^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}+\frac{i \pi  b \,e^{2} x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}-\frac{i \pi  b \,e^{2} x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10}-\frac{i \pi  b d e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{3}+\frac{i \pi  b d e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3}+\frac{i \pi  b d e \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{3}-\frac{i \pi  b d e \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{3}-\frac{b \,e^{2} n \,x^{5}}{25}+\frac{b \,e^{2} x^{5} \ln \left(c \right)}{5}+\frac{a \,e^{2} x^{5}}{5}-\frac{i \pi  b \,d^{2} 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^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{i \pi  b \,d^{2} x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b \,d^{2} x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}-\frac{2 b d e n \,x^{3}}{9}+\frac{2 b d e \,x^{3} \ln \left(c \right)}{3}+\frac{2 a d e \,x^{3}}{3}-b \,d^{2} n x +b \,d^{2} x \ln \left(c \right)+a \,d^{2} x +\frac{\left(3 e^{2} x^{4}+10 d e \,x^{2}+15 d^{2}\right) b x \ln \left(x^{n}\right)}{15}"," ",0,"1/15*b*x*(3*e^2*x^4+10*d*e*x^2+15*d^2)*ln(x^n)-1/3*I*Pi*b*d*e*x^3*csgn(I*c*x^n)^3+1/3*I*Pi*b*d*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/3*I*Pi*b*d*e*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/10*I*Pi*b*e^2*x^5*csgn(I*c*x^n)^2*csgn(I*c)+1/10*I*Pi*b*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*Pi*b*d^2*csgn(I*c*x^n)^3*x-1/3*I*Pi*b*d*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/10*I*Pi*b*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x-1/2*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x+1/2*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)*x-1/10*I*Pi*b*e^2*x^5*csgn(I*c*x^n)^3+1/5*b*e^2*x^5*ln(c)-1/25*b*e^2*n*x^5+1/5*a*e^2*x^5+2/3*b*d*e*x^3*ln(c)-2/9*b*d*e*n*x^3+2/3*a*d*e*x^3+ln(c)*b*d^2*x-b*d^2*n*x+a*d^2*x","C"
192,1,419,79,0.208000," ","int((e*x^2+d)^2*(b*ln(c*x^n)+a)/x^2,x)","-\frac{\left(-e^{2} x^{4}-6 d e \,x^{2}+3 d^{2}\right) b \ln \left(x^{n}\right)}{3 x}-\frac{3 i \pi  b \,e^{2} x^{4} \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 \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+18 i \pi  b d e \,x^{2} \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 d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b \,e^{2} n \,x^{4}-6 b \,e^{2} x^{4} \ln \left(c \right)-6 a \,e^{2} x^{4}-9 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+9 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+36 b d e n \,x^{2}-36 b d e \,x^{2} \ln \left(c \right)-36 a d e \,x^{2}+18 b \,d^{2} n +18 b \,d^{2} \ln \left(c \right)+18 a \,d^{2}}{18 x}"," ",0,"-1/3*b*(-e^2*x^4-6*d*e*x^2+3*d^2)/x*ln(x^n)-1/18*(18*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^3-18*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+18*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^3-3*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)+9*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-9*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+9*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)-18*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-9*I*Pi*b*d^2*csgn(I*c*x^n)^3-6*b*e^2*x^4*ln(c)+2*b*e^2*n*x^4-6*a*e^2*x^4-36*b*d*e*x^2*ln(c)+36*b*d*e*n*x^2-36*a*d*e*x^2+18*b*d^2*ln(c)+18*b*d^2*n+18*a*d^2)/x","C"
193,1,417,78,0.233000," ","int((e*x^2+d)^2*(b*ln(c*x^n)+a)/x^4,x)","-\frac{\left(-3 e^{2} x^{4}+6 d e \,x^{2}+d^{2}\right) b \ln \left(x^{n}\right)}{3 x^{3}}-\frac{9 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-9 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-18 i \pi  b d e \,x^{2} \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 d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+18 b \,e^{2} n \,x^{4}-18 b \,e^{2} x^{4} \ln \left(c \right)-18 a \,e^{2} x^{4}-3 i \pi  b \,d^{2} \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 \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+36 b d e n \,x^{2}+36 b d e \,x^{2} \ln \left(c \right)+36 a d e \,x^{2}+2 b \,d^{2} n +6 b \,d^{2} \ln \left(c \right)+6 a \,d^{2}}{18 x^{3}}"," ",0,"-1/3*b*(-3*e^2*x^4+6*d*e*x^2+d^2)/x^3*ln(x^n)-1/18*(18*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+9*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^3+9*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*Pi*b*d^2*csgn(I*c*x^n)^3-9*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+18*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)-3*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-18*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-18*b*e^2*x^4*ln(c)-9*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)+3*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)-18*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^3+3*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+18*b*e^2*n*x^4-18*a*e^2*x^4+36*b*d*e*x^2*ln(c)+36*b*d*e*n*x^2+36*a*d*e*x^2+6*b*d^2*ln(c)+2*b*d^2*n+6*a*d^2)/x^3","C"
194,1,419,83,0.167000," ","int((e*x^2+d)^2*(b*ln(c*x^n)+a)/x^6,x)","-\frac{\left(15 e^{2} x^{4}+10 d e \,x^{2}+3 d^{2}\right) b \ln \left(x^{n}\right)}{15 x^{5}}-\frac{-225 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+225 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+225 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-225 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-150 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+150 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+150 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-150 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+450 b \,e^{2} n \,x^{4}+450 b \,e^{2} x^{4} \ln \left(c \right)+450 a \,e^{2} x^{4}-45 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+45 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+45 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-45 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+100 b d e n \,x^{2}+300 b d e \,x^{2} \ln \left(c \right)+300 a d e \,x^{2}+18 b \,d^{2} n +90 b \,d^{2} \ln \left(c \right)+90 a \,d^{2}}{450 x^{5}}"," ",0,"-1/15*b*(15*e^2*x^4+10*d*e*x^2+3*d^2)/x^5*ln(x^n)-1/450*(-150*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^3+150*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+45*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-45*I*Pi*b*d^2*csgn(I*c*x^n)^3+450*b*e^2*x^4*ln(c)+450*b*e^2*n*x^4+450*a*e^2*x^4-225*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-45*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+225*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)-150*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+300*b*d*e*x^2*ln(c)+100*b*d*e*n*x^2+300*a*d*e*x^2-225*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^3+150*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+225*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+45*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+90*b*d^2*ln(c)+18*b*d^2*n+90*a*d^2)/x^5","C"
195,1,419,83,0.172000," ","int((e*x^2+d)^2*(b*ln(c*x^n)+a)/x^8,x)","-\frac{\left(35 e^{2} x^{4}+42 d e \,x^{2}+15 d^{2}\right) b \ln \left(x^{n}\right)}{105 x^{7}}-\frac{-3675 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+3675 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3675 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3675 i \pi  b \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4410 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4410 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4410 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4410 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2450 b \,e^{2} n \,x^{4}+7350 b \,e^{2} x^{4} \ln \left(c \right)+7350 a \,e^{2} x^{4}-1575 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+1575 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+1575 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-1575 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+1764 b d e n \,x^{2}+8820 b d e \,x^{2} \ln \left(c \right)+8820 a d e \,x^{2}+450 b \,d^{2} n +3150 b \,d^{2} \ln \left(c \right)+3150 a \,d^{2}}{22050 x^{7}}"," ",0,"-1/105*b*(35*e^2*x^4+42*d*e*x^2+15*d^2)/x^7*ln(x^n)-1/22050*(1575*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-3675*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^3+3675*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+4410*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+7350*b*e^2*x^4*ln(c)+2450*b*e^2*n*x^4+7350*a*e^2*x^4-3675*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1575*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4410*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1575*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+8820*b*d*e*x^2*ln(c)+1764*b*d*e*n*x^2+8820*a*d*e*x^2-4410*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3675*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)-1575*I*Pi*b*d^2*csgn(I*c*x^n)^3-4410*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^3+3150*b*d^2*ln(c)+450*b*d^2*n+3150*a*d^2)/x^7","C"
196,1,602,90,0.217000," ","int(x^5*(e*x^2+d)^3*(b*ln(c*x^n)+a),x)","\frac{3 b \,d^{2} e \,x^{8} \ln \left(c \right)}{8}+\frac{3 b d \,e^{2} x^{10} \ln \left(c \right)}{10}+\frac{a \,e^{3} x^{12}}{12}+\frac{3 a \,d^{2} e \,x^{8}}{8}+\frac{b \,d^{3} x^{6} \ln \left(c \right)}{6}+\frac{b \,e^{3} x^{12} \ln \left(c \right)}{12}+\frac{3 a d \,e^{2} x^{10}}{10}+\frac{\left(10 e^{3} x^{6}+36 d \,e^{2} x^{4}+45 d^{2} e \,x^{2}+20 d^{3}\right) b \,x^{6} \ln \left(x^{n}\right)}{120}+\frac{a \,d^{3} x^{6}}{6}+\frac{i \pi  b \,e^{3} x^{12} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{24}+\frac{i \pi  b \,e^{3} x^{12} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{24}-\frac{3 i \pi  b d \,e^{2} x^{10} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{20}+\frac{3 i \pi  b d \,e^{2} x^{10} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{20}+\frac{3 i \pi  b d \,e^{2} x^{10} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{20}+\frac{3 i \pi  b \,d^{2} e \,x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}+\frac{3 i \pi  b \,d^{2} e \,x^{8} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}-\frac{i \pi  b \,d^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{12}-\frac{i \pi  b \,e^{3} x^{12} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{24}-\frac{b \,d^{3} n \,x^{6}}{36}-\frac{b \,e^{3} n \,x^{12}}{144}-\frac{3 i \pi  b \,d^{2} e \,x^{8} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16}+\frac{i \pi  b \,d^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}+\frac{i \pi  b \,d^{3} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}-\frac{i \pi  b \,e^{3} x^{12} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{24}-\frac{i \pi  b \,d^{3} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12}-\frac{3 i \pi  b d \,e^{2} x^{10} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{20}-\frac{3 b \,d^{2} e n \,x^{8}}{64}-\frac{3 b d \,e^{2} n \,x^{10}}{100}-\frac{3 i \pi  b \,d^{2} e \,x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16}"," ",0,"3/8*ln(c)*b*d^2*e*x^8+3/10*ln(c)*b*d*e^2*x^10+1/12*a*e^3*x^12-3/16*I*Pi*b*d^2*e*x^8*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3/20*I*Pi*b*d*e^2*x^10*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3/8*a*d^2*e*x^8+1/6*ln(c)*b*d^3*x^6+1/12*ln(c)*b*e^3*x^12+3/10*a*d*e^2*x^10+1/120*b*x^6*(10*e^3*x^6+36*d*e^2*x^4+45*d^2*e*x^2+20*d^3)*ln(x^n)+1/6*a*d^3*x^6+3/16*I*Pi*b*d^2*e*x^8*csgn(I*c*x^n)^2*csgn(I*c)-1/24*I*Pi*b*e^3*x^12*csgn(I*c*x^n)^3-1/12*I*Pi*b*d^3*x^6*csgn(I*c*x^n)^3-1/36*b*d^3*n*x^6-1/144*b*e^3*n*x^12-1/12*I*Pi*b*d^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3/20*I*Pi*b*d*e^2*x^10*csgn(I*x^n)*csgn(I*c*x^n)^2+3/20*I*Pi*b*d*e^2*x^10*csgn(I*c*x^n)^2*csgn(I*c)+3/16*I*Pi*b*d^2*e*x^8*csgn(I*x^n)*csgn(I*c*x^n)^2-1/24*I*Pi*b*e^3*x^12*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3/20*I*Pi*b*d*e^2*x^10*csgn(I*c*x^n)^3+1/24*I*Pi*b*e^3*x^12*csgn(I*x^n)*csgn(I*c*x^n)^2-3/64*b*d^2*e*n*x^8-3/100*b*d*e^2*n*x^10+1/12*I*Pi*b*d^3*x^6*csgn(I*c*x^n)^2*csgn(I*c)-3/16*I*Pi*b*d^2*e*x^8*csgn(I*c*x^n)^3+1/24*I*Pi*b*e^3*x^12*csgn(I*c*x^n)^2*csgn(I*c)+1/12*I*Pi*b*d^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2","C"
197,1,602,116,0.217000," ","int(x^3*(e*x^2+d)^3*(b*ln(c*x^n)+a),x)","\frac{b \,d^{2} e \,x^{6} \ln \left(c \right)}{2}+\frac{3 b d \,e^{2} x^{8} \ln \left(c \right)}{8}+\frac{3 i \pi  b d \,e^{2} x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}-\frac{b \,e^{3} n \,x^{10}}{100}+\frac{a \,d^{3} x^{4}}{4}+\frac{\left(4 e^{3} x^{6}+15 d \,e^{2} x^{4}+20 d^{2} e \,x^{2}+10 d^{3}\right) b \,x^{4} \ln \left(x^{n}\right)}{40}+\frac{b \,d^{3} x^{4} \ln \left(c \right)}{4}+\frac{a \,e^{3} x^{10}}{10}+\frac{b \,e^{3} x^{10} \ln \left(c \right)}{10}+\frac{3 a d \,e^{2} x^{8}}{8}+\frac{a \,d^{2} e \,x^{6}}{2}-\frac{i \pi  b \,e^{3} x^{10} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{20}+\frac{3 i \pi  b d \,e^{2} x^{8} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}+\frac{i \pi  b \,d^{2} e \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{b \,d^{3} n \,x^{4}}{16}+\frac{i \pi  b \,d^{2} e \,x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{i \pi  b \,d^{3} x^{4} \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^{3} x^{10} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{20}+\frac{i \pi  b \,e^{3} x^{10} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{20}-\frac{3 i \pi  b d \,e^{2} x^{8} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16}-\frac{i \pi  b \,d^{2} e \,x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}+\frac{i \pi  b \,d^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{i \pi  b \,d^{3} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b \,e^{3} x^{10} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{20}-\frac{i \pi  b \,d^{3} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{i \pi  b \,d^{2} e \,x^{6} \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^{2} e n \,x^{6}}{12}-\frac{3 b d \,e^{2} n \,x^{8}}{64}-\frac{3 i \pi  b d \,e^{2} x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16}"," ",0,"1/2*ln(c)*b*d^2*e*x^6+3/8*ln(c)*b*d*e^2*x^8-1/100*b*e^3*n*x^10+1/4*a*d^3*x^4+1/40*b*x^4*(4*e^3*x^6+15*d*e^2*x^4+20*d^2*e*x^2+10*d^3)*ln(x^n)+1/4*b*d^3*x^4*ln(c)-1/4*I*Pi*b*d^2*e*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/10*a*e^3*x^10+1/10*ln(c)*b*e^3*x^10+3/8*a*d*e^2*x^8+1/2*a*d^2*e*x^6-1/16*b*d^3*n*x^4-1/20*I*Pi*b*e^3*x^10*csgn(I*c*x^n)^3-1/8*I*Pi*b*d^3*x^4*csgn(I*c*x^n)^3-3/16*I*Pi*b*d*e^2*x^8*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/20*I*Pi*b*e^3*x^10*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3/16*I*Pi*b*d*e^2*x^8*csgn(I*c*x^n)^2*csgn(I*c)+3/16*I*Pi*b*d*e^2*x^8*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*Pi*b*d^2*e*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*Pi*b*d^2*e*x^6*csgn(I*c*x^n)^2*csgn(I*c)-1/8*I*Pi*b*d^3*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/8*I*Pi*b*d^3*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1/8*I*Pi*b*d^3*x^4*csgn(I*c*x^n)^2*csgn(I*c)-3/16*I*Pi*b*d*e^2*x^8*csgn(I*c*x^n)^3-1/12*b*d^2*e*n*x^6-3/64*b*d*e^2*n*x^8+1/20*I*Pi*b*e^3*x^10*csgn(I*c*x^n)^2*csgn(I*c)-1/4*I*Pi*b*d^2*e*x^6*csgn(I*c*x^n)^3+1/20*I*Pi*b*e^3*x^10*csgn(I*x^n)*csgn(I*c*x^n)^2","C"
198,1,601,79,0.243000," ","int(x*(e*x^2+d)^3*(b*ln(c*x^n)+a),x)","\frac{a \,d^{3} x^{2}}{2}+\frac{3 a \,d^{2} e \,x^{4}}{4}+\frac{b d \,e^{2} x^{6} \ln \left(c \right)}{2}+\frac{3 b \,d^{2} e \,x^{4} \ln \left(c \right)}{4}+\frac{b \,e^{3} x^{8} \ln \left(c \right)}{8}+\frac{b \,d^{3} x^{2} \ln \left(c \right)}{2}+\frac{\left(e^{3} x^{6}+4 d \,e^{2} x^{4}+6 d^{2} e \,x^{2}+4 d^{3}\right) b \,x^{2} \ln \left(x^{n}\right)}{8}+\frac{a d \,e^{2} x^{6}}{2}+\frac{a \,e^{3} x^{8}}{8}-\frac{i \pi  b \,e^{3} x^{8} \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 d \,e^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  b \,e^{3} x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}+\frac{i \pi  b \,e^{3} x^{8} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16}-\frac{i \pi  b d \,e^{2} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{3 i \pi  b \,d^{2} e \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}+\frac{i \pi  b \,d^{3} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{i \pi  b \,d^{3} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}-\frac{b \,d^{3} n \,x^{2}}{4}+\frac{i \pi  b d \,e^{2} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{3 i \pi  b \,d^{2} e \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{3 i \pi  b \,d^{2} e \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}-\frac{i \pi  b \,d^{3} 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 \,e^{3} n \,x^{8}}{64}-\frac{i \pi  b d \,e^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4}-\frac{3 i \pi  b \,d^{2} e \,x^{4} \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^{3} x^{8} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16}-\frac{i \pi  b \,d^{3} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}-\frac{b d \,e^{2} n \,x^{6}}{12}-\frac{3 b \,d^{2} e n \,x^{4}}{16}"," ",0,"1/2*a*d^3*x^2+3/4*a*d^2*e*x^4+1/2*b*d*e^2*x^6*ln(c)+3/4*b*d^2*e*x^4*ln(c)+1/8*ln(c)*b*e^3*x^8+1/2*b*d^3*x^2*ln(c)+1/8*b*x^2*(e^3*x^6+4*d*e^2*x^4+6*d^2*e*x^2+4*d^3)*ln(x^n)+1/2*a*d*e^2*x^6+1/8*a*e^3*x^8-3/8*I*Pi*b*d^2*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I*Pi*b*d*e^2*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*b*d^3*n*x^2+3/8*I*Pi*b*d^2*e*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I*Pi*b*d^3*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/4*I*Pi*b*d*e^2*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*Pi*b*d*e^2*x^6*csgn(I*c*x^n)^2*csgn(I*c)+3/8*I*Pi*b*d^2*e*x^4*csgn(I*c*x^n)^2*csgn(I*c)-1/16*I*Pi*b*e^3*x^8*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/64*b*e^3*n*x^8-1/4*I*Pi*b*d^3*x^2*csgn(I*c*x^n)^3-1/16*I*Pi*b*e^3*x^8*csgn(I*c*x^n)^3-3/8*I*Pi*b*d^2*e*x^4*csgn(I*c*x^n)^3+1/4*I*Pi*b*d^3*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I*Pi*b*d*e^2*x^6*csgn(I*c*x^n)^3+1/16*I*Pi*b*e^3*x^8*csgn(I*c*x^n)^2*csgn(I*c)+1/16*I*Pi*b*e^3*x^8*csgn(I*x^n)*csgn(I*c*x^n)^2+1/4*I*Pi*b*d^3*x^2*csgn(I*c*x^n)^2*csgn(I*c)-1/12*b*d*e^2*n*x^6-3/16*b*d^2*e*n*x^4","C"
199,1,595,116,0.301000," ","int((e*x^2+d)^3*(b*ln(c*x^n)+a)/x,x)","\frac{a \,e^{3} x^{6}}{6}+\frac{3 b d \,e^{2} x^{4} \ln \left(c \right)}{4}+\frac{3 a d \,e^{2} x^{4}}{4}+\left(\frac{b \,e^{3} x^{6}}{6}+\frac{3 b d \,e^{2} x^{4}}{4}+\frac{3 b \,d^{2} e \,x^{2}}{2}+b \,d^{3} \ln \left(x \right)\right) \ln \left(x^{n}\right)+\frac{b \,e^{3} x^{6} \ln \left(c \right)}{6}+\frac{3 a \,d^{2} e \,x^{2}}{2}+b \,d^{3} \ln \left(c \right) \ln \left(x \right)+a \,d^{3} \ln \left(x \right)+\frac{3 b \,d^{2} e \,x^{2} \ln \left(c \right)}{2}-\frac{b \,e^{3} n \,x^{6}}{36}+\frac{i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}+\frac{i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{12}-\frac{i \pi  b \,d^{3} \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{3 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{3 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8}+\frac{3 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4}+\frac{3 i \pi  b \,d^{2} 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^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{12}-\frac{b \,d^{3} n \ln \left(x \right)^{2}}{2}-\frac{i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{12}-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-\frac{3 i \pi  b \,d^{2} 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{3 b d \,e^{2} n \,x^{4}}{16}-\frac{3 b \,d^{2} e n \,x^{2}}{4}-\frac{3 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8}-\frac{3 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4}+\frac{i \pi  b \,d^{3} \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^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2}-\frac{3 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{8}"," ",0,"-1/2*I*ln(x)*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3/4*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+1/6*a*e^3*x^6+3/4*b*d*e^2*x^4*ln(c)+3/4*a*d*e^2*x^4+(1/6*b*e^3*x^6+3/4*b*d*e^2*x^4+3/2*b*d^2*e*x^2+b*d^3*ln(x))*ln(x^n)+1/6*b*e^3*x^6*ln(c)+3/2*a*d^2*e*x^2+b*d^3*ln(c)*ln(x)+a*d^3*ln(x)-3/8*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^3-3/4*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^3-1/12*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3/8*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+3/2*ln(c)*b*d^2*e*x^2-1/36*b*e^3*n*x^6+3/4*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-3/4*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3/8*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)-3/8*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*ln(x)*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*ln(x)*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+1/12*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2+1/12*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^2*csgn(I*c)-1/12*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^3-1/2*I*ln(x)*Pi*b*d^3*csgn(I*c*x^n)^3-1/2*b*d^3*n*ln(x)^2-3/16*b*d*e^2*n*x^4-3/4*b*d^2*e*n*x^2","C"
200,1,604,117,0.326000," ","int((e*x^2+d)^3*(b*ln(c*x^n)+a)/x^3,x)","-\frac{\left(-e^{3} x^{6}-6 d \,e^{2} x^{4}-12 d^{2} e \,x^{2} \ln \left(x \right)+2 d^{3}\right) b \ln \left(x^{n}\right)}{4 x^{2}}-\frac{-4 a \,e^{3} x^{6}-24 b d \,e^{2} x^{4} \ln \left(c \right)-24 a d \,e^{2} x^{4}+8 a \,d^{3}-4 b \,e^{3} x^{6} \ln \left(c \right)+4 b \,d^{3} n +8 b \,d^{3} \ln \left(c \right)+24 i \pi  b \,d^{2} 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(x \right)-4 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+b \,e^{3} n \,x^{6}-48 a \,d^{2} e \,x^{2} \ln \left(x \right)-2 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+24 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)-12 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-12 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-24 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-24 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+4 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-48 b \,d^{2} e \,x^{2} \ln \left(c \right) \ln \left(x \right)+24 b \,d^{2} e n \,x^{2} \ln \left(x \right)^{2}+2 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+12 b d \,e^{2} n \,x^{4}+12 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+12 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16 x^{2}}"," ",0,"-1/4*b*(-e^3*x^6-6*d*e^2*x^4-12*d^2*e*ln(x)*x^2+2*d^3)/x^2*ln(x^n)-1/16*(24*I*ln(x)*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^2-4*a*e^3*x^6-24*b*d*e^2*x^4*ln(c)-24*a*d*e^2*x^4+8*a*d^3-4*b*e^3*x^6*ln(c)+4*b*d^3*n+8*b*d^3*ln(c)+12*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+b*e^3*n*x^6-48*ln(x)*a*d^2*e*x^2-4*I*Pi*b*d^3*csgn(I*c*x^n)^3-2*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^2*csgn(I*c)+12*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^3-4*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2-24*I*ln(x)*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^2-12*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)+2*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+24*I*ln(x)*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^2+2*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^3+4*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2-48*ln(x)*ln(c)*b*d^2*e*x^2+24*b*d^2*e*n*ln(x)^2*x^2-24*I*ln(x)*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^2+12*b*d*e^2*n*x^4)/x^2","C"
201,1,602,117,0.332000," ","int((e*x^2+d)^3*(b*ln(c*x^n)+a)/x^5,x)","-\frac{\left(-2 e^{3} x^{6}-12 d \,e^{2} x^{4} \ln \left(x \right)+6 d^{2} e \,x^{2}+d^{3}\right) b \ln \left(x^{n}\right)}{4 x^{4}}-\frac{-8 a \,e^{3} x^{6}+4 a \,d^{3}-8 b \,e^{3} x^{6} \ln \left(c \right)+b \,d^{3} n +4 b \,d^{3} \ln \left(c \right)+24 a \,d^{2} e \,x^{2}+24 i \pi  b d \,e^{2} 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(x \right)-2 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+24 b \,d^{2} e \,x^{2} \ln \left(c \right)+4 b \,e^{3} n \,x^{6}-48 a d \,e^{2} x^{4} \ln \left(x \right)-4 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+12 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+12 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-24 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-12 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+24 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+2 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-48 b d \,e^{2} x^{4} \ln \left(c \right) \ln \left(x \right)+24 b d \,e^{2} n \,x^{4} \ln \left(x \right)^{2}-24 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+12 b \,d^{2} e n \,x^{2}-12 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 x^{4}}"," ",0,"-1/4*b*(-2*e^3*x^6-12*d*e^2*ln(x)*x^4+6*d^2*e*x^2+d^3)/x^4*ln(x^n)-1/16*(24*I*ln(x)*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^4-8*a*e^3*x^6+4*a*d^3-8*b*e^3*x^6*ln(c)+b*d^3*n+4*b*d^3*ln(c)+24*a*d^2*e*x^2+24*b*d^2*e*x^2*ln(c)-2*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4*b*e^3*n*x^6-24*I*ln(x)*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^4-24*I*ln(x)*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*x^4-48*ln(x)*a*d*e^2*x^4-12*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^3+2*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*d^3*csgn(I*c*x^n)^3+12*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+12*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+24*I*ln(x)*Pi*b*d*e^2*csgn(I*c*x^n)^3*x^4-48*ln(x)*ln(c)*b*d*e^2*x^4+24*b*d*e^2*n*ln(x)^2*x^4-4*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^2*csgn(I*c)+12*b*d^2*e*n*x^2-12*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^3)/x^4","C"
202,1,602,90,0.216000," ","int(x^4*(e*x^2+d)^3*(b*ln(c*x^n)+a),x)","\frac{a d \,e^{2} x^{9}}{3}+\frac{3 a \,d^{2} e \,x^{7}}{7}+\frac{3 b \,d^{2} e \,x^{7} \ln \left(c \right)}{7}+\frac{b d \,e^{2} x^{9} \ln \left(c \right)}{3}+\frac{a \,e^{3} x^{11}}{11}+\frac{a \,d^{3} x^{5}}{5}+\frac{b \,d^{3} x^{5} \ln \left(c \right)}{5}+\frac{b \,e^{3} x^{11} \ln \left(c \right)}{11}+\frac{\left(105 e^{3} x^{6}+385 d \,e^{2} x^{4}+495 d^{2} e \,x^{2}+231 d^{3}\right) b \,x^{5} \ln \left(x^{n}\right)}{1155}-\frac{i \pi  b d \,e^{2} x^{9} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6}-\frac{3 i \pi  b \,d^{2} e \,x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{14}+\frac{i \pi  b d \,e^{2} x^{9} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}+\frac{3 i \pi  b \,d^{2} e \,x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{14}+\frac{3 i \pi  b \,d^{2} e \,x^{7} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{14}-\frac{i \pi  b \,d^{3} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{10}-\frac{i \pi  b \,e^{3} x^{11} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{22}+\frac{i \pi  b d \,e^{2} x^{9} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}-\frac{b \,d^{3} n \,x^{5}}{25}-\frac{b \,e^{3} n \,x^{11}}{121}+\frac{i \pi  b \,e^{3} x^{11} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{22}+\frac{i \pi  b \,e^{3} x^{11} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{22}-\frac{i \pi  b d \,e^{2} x^{9} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}-\frac{3 i \pi  b \,d^{2} e \,x^{7} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{14}+\frac{i \pi  b \,d^{3} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}+\frac{i \pi  b \,d^{3} x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}-\frac{i \pi  b \,e^{3} x^{11} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{22}-\frac{i \pi  b \,d^{3} x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10}-\frac{3 b \,d^{2} e n \,x^{7}}{49}-\frac{b d \,e^{2} n \,x^{9}}{27}"," ",0,"1/6*I*Pi*b*d*e^2*x^9*csgn(I*x^n)*csgn(I*c*x^n)^2+1/3*a*d*e^2*x^9+3/7*a*d^2*e*x^7+3/7*ln(c)*b*d^2*e*x^7+1/3*ln(c)*b*d*e^2*x^9+1/11*a*e^3*x^11+1/5*a*d^3*x^5+1/5*ln(c)*b*d^3*x^5+1/11*ln(c)*b*e^3*x^11-1/6*I*Pi*b*d*e^2*x^9*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/1155*b*x^5*(105*e^3*x^6+385*d*e^2*x^4+495*d^2*e*x^2+231*d^3)*ln(x^n)-1/22*I*Pi*b*e^3*x^11*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3/14*I*Pi*b*d^2*e*x^7*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/22*I*Pi*b*e^3*x^11*csgn(I*c*x^n)^3-1/10*I*Pi*b*d^3*x^5*csgn(I*c*x^n)^3-1/10*I*Pi*b*d^3*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/25*b*d^3*n*x^5-1/121*b*e^3*n*x^11+3/14*I*Pi*b*d^2*e*x^7*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I*Pi*b*d*e^2*x^9*csgn(I*c*x^n)^2*csgn(I*c)+3/14*I*Pi*b*d^2*e*x^7*csgn(I*c*x^n)^2*csgn(I*c)-1/6*I*Pi*b*d*e^2*x^9*csgn(I*c*x^n)^3+1/22*I*Pi*b*e^3*x^11*csgn(I*x^n)*csgn(I*c*x^n)^2+1/22*I*Pi*b*e^3*x^11*csgn(I*c*x^n)^2*csgn(I*c)-3/49*b*d^2*e*n*x^7-1/27*b*d*e^2*n*x^9+1/10*I*Pi*b*d^3*x^5*csgn(I*c*x^n)^2*csgn(I*c)-3/14*I*Pi*b*d^2*e*x^7*csgn(I*c*x^n)^3+1/10*I*Pi*b*d^3*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2","C"
203,1,602,90,0.217000," ","int(x^2*(e*x^2+d)^3*(b*ln(c*x^n)+a),x)","\frac{a \,d^{3} x^{3}}{3}+\frac{3 a \,d^{2} e \,x^{5}}{5}+\frac{3 a d \,e^{2} x^{7}}{7}+\frac{3 b \,d^{2} e \,x^{5} \ln \left(c \right)}{5}+\frac{3 b d \,e^{2} x^{7} \ln \left(c \right)}{7}+\frac{a \,e^{3} x^{9}}{9}+\frac{b \,d^{3} x^{3} \ln \left(c \right)}{3}+\frac{b \,e^{3} x^{9} \ln \left(c \right)}{9}+\frac{\left(35 e^{3} x^{6}+135 d \,e^{2} x^{4}+189 d^{2} e \,x^{2}+105 d^{3}\right) b \,x^{3} \ln \left(x^{n}\right)}{315}+\frac{3 i \pi  b d \,e^{2} x^{7} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{14}+\frac{3 i \pi  b \,d^{2} e \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}-\frac{b \,d^{3} n \,x^{3}}{9}+\frac{3 i \pi  b \,d^{2} e \,x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}-\frac{i \pi  b \,d^{3} 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^{3} x^{9} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{18}+\frac{3 i \pi  b d \,e^{2} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{14}-\frac{3 i \pi  b d \,e^{2} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{14}-\frac{3 i \pi  b \,d^{2} e \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{10}-\frac{b \,e^{3} n \,x^{9}}{81}-\frac{3 i \pi  b d \,e^{2} x^{7} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{14}-\frac{3 i \pi  b \,d^{2} e \,x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10}+\frac{i \pi  b \,d^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}+\frac{i \pi  b \,d^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6}+\frac{i \pi  b \,e^{3} x^{9} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{18}+\frac{i \pi  b \,e^{3} x^{9} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{18}-\frac{i \pi  b \,e^{3} x^{9} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{18}-\frac{i \pi  b \,d^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6}-\frac{3 b d \,e^{2} n \,x^{7}}{49}-\frac{3 b \,d^{2} e n \,x^{5}}{25}"," ",0,"1/3*a*d^3*x^3+3/5*a*d^2*e*x^5+3/7*a*d*e^2*x^7+3/5*b*d^2*e*x^5*ln(c)+3/7*ln(c)*b*d*e^2*x^7+1/9*a*e^3*x^9+1/3*b*d^3*x^3*ln(c)+1/9*ln(c)*b*e^3*x^9+1/315*b*x^3*(35*e^3*x^6+135*d*e^2*x^4+189*d^2*e*x^2+105*d^3)*ln(x^n)+3/14*I*Pi*b*d*e^2*x^7*csgn(I*x^n)*csgn(I*c*x^n)^2-1/9*b*d^3*n*x^3-3/10*I*Pi*b*d^2*e*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3/14*I*Pi*b*d*e^2*x^7*csgn(I*c*x^n)^2*csgn(I*c)-1/6*I*Pi*b*d^3*x^3*csgn(I*c*x^n)^3-1/18*I*Pi*b*e^3*x^9*csgn(I*c*x^n)^3-3/14*I*Pi*b*d*e^2*x^7*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/81*b*e^3*n*x^9-1/6*I*Pi*b*d^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3/10*I*Pi*b*d^2*e*x^5*csgn(I*c*x^n)^2*csgn(I*c)-1/18*I*Pi*b*e^3*x^9*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3/10*I*Pi*b*d^2*e*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2-3/10*I*Pi*b*d^2*e*x^5*csgn(I*c*x^n)^3+1/6*I*Pi*b*d^3*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/6*I*Pi*b*d^3*x^3*csgn(I*c*x^n)^2*csgn(I*c)+1/18*I*Pi*b*e^3*x^9*csgn(I*c*x^n)^2*csgn(I*c)-3/49*b*d*e^2*n*x^7-3/14*I*Pi*b*d*e^2*x^7*csgn(I*c*x^n)^3+1/18*I*Pi*b*e^3*x^9*csgn(I*x^n)*csgn(I*c*x^n)^2-3/25*b*d^2*e*n*x^5","C"
204,1,582,111,0.217000," ","int((e*x^2+d)^3*(b*ln(c*x^n)+a),x)","b \,d^{2} e \,x^{3} \ln \left(c \right)+\frac{3 a d \,e^{2} x^{5}}{5}+a \,d^{2} e \,x^{3}+\frac{3 b d \,e^{2} x^{5} \ln \left(c \right)}{5}+a \,d^{3} x +\frac{a \,e^{3} x^{7}}{7}+\frac{b \,e^{3} x^{7} \ln \left(c \right)}{7}+b \,d^{3} x \ln \left(c \right)+\frac{\left(5 e^{3} x^{6}+21 d \,e^{2} x^{4}+35 d^{2} e \,x^{2}+35 d^{3}\right) b x \ln \left(x^{n}\right)}{35}-\frac{b \,e^{3} n \,x^{7}}{49}-\frac{i \pi  b \,e^{3} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{14}+\frac{3 i \pi  b d \,e^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}+\frac{3 i \pi  b d \,e^{2} x^{5} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{10}+\frac{i \pi  b \,d^{2} e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{i \pi  b \,d^{2} e \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b \,d^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2}-\frac{3 i \pi  b d \,e^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{10}-\frac{i \pi  b \,d^{2} e \,x^{3} \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^{3} x^{7} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{14}-\frac{i \pi  b \,d^{3} x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}+\frac{i \pi  b \,e^{3} x^{7} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{14}-\frac{3 i \pi  b d \,e^{2} x^{5} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{10}-\frac{i \pi  b \,d^{2} e \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}+\frac{i \pi  b \,d^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{i \pi  b \,d^{3} x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}+\frac{i \pi  b \,e^{3} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{14}-b \,d^{3} n x -\frac{3 b d \,e^{2} n \,x^{5}}{25}-\frac{b \,d^{2} e n \,x^{3}}{3}"," ",0,"1/2*I*Pi*b*d^2*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)^2+b*d^2*e*x^3*ln(c)+3/5*a*d*e^2*x^5+a*d^2*e*x^3+3/5*b*d*e^2*x^5*ln(c)+3/10*I*Pi*b*d*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)^2+3/10*I*Pi*b*d*e^2*x^5*csgn(I*c*x^n)^2*csgn(I*c)+a*d^3*x+1/7*a*e^3*x^7+1/7*b*e^3*x^7*ln(c)+ln(c)*b*d^3*x+1/35*b*x*(5*e^3*x^6+21*d*e^2*x^4+35*d^2*e*x^2+35*d^3)*ln(x^n)+1/2*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x-1/2*I*Pi*b*d^2*e*x^3*csgn(I*c*x^n)^3-3/10*I*Pi*b*d*e^2*x^5*csgn(I*c*x^n)^3-1/49*b*e^3*n*x^7+1/2*I*Pi*b*d^2*e*x^3*csgn(I*c*x^n)^2*csgn(I*c)-1/14*I*Pi*b*e^3*x^7*csgn(I*c*x^n)^3-1/2*I*Pi*b*d^3*csgn(I*c*x^n)^3*x-3/10*I*Pi*b*d*e^2*x^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*Pi*b*d^2*e*x^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x-1/14*I*Pi*b*e^3*x^7*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)*x+1/14*I*Pi*b*e^3*x^7*csgn(I*x^n)*csgn(I*c*x^n)^2+1/14*I*Pi*b*e^3*x^7*csgn(I*c*x^n)^2*csgn(I*c)-b*d^3*n*x-3/25*b*d*e^2*n*x^5-1/3*b*d^2*e*n*x^3","C"
205,1,587,112,0.244000," ","int((e*x^2+d)^3*(b*ln(c*x^n)+a)/x^2,x)","-\frac{\left(-e^{3} x^{6}-5 d \,e^{2} x^{4}-15 d^{2} e \,x^{2}+5 d^{3}\right) b \ln \left(x^{n}\right)}{5 x}-\frac{-30 a \,e^{3} x^{6}-150 b d \,e^{2} x^{4} \ln \left(c \right)-150 a d \,e^{2} x^{4}+150 a \,d^{3}-30 b \,e^{3} x^{6} \ln \left(c \right)+150 b \,d^{3} n +150 b \,d^{3} \ln \left(c \right)-450 a \,d^{2} e \,x^{2}-75 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-450 b \,d^{2} e \,x^{2} \ln \left(c \right)+225 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+6 b \,e^{3} n \,x^{6}+15 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-15 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-75 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-75 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-75 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-225 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-225 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+75 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+75 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-15 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+15 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+50 b d \,e^{2} n \,x^{4}+450 b \,d^{2} e n \,x^{2}+75 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+225 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+75 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{150 x}"," ",0,"-1/5*b*(-e^3*x^6-5*d*e^2*x^4-15*d^2*e*x^2+5*d^3)/x*ln(x^n)-1/150*(-75*I*Pi*b*d^3*csgn(I*c*x^n)^3-30*a*e^3*x^6-150*b*d*e^2*x^4*ln(c)-150*a*d*e^2*x^4+150*a*d^3-30*b*e^3*x^6*ln(c)+150*b*d^3*n+150*b*d^3*ln(c)-450*a*d^2*e*x^2+225*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+75*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-450*b*d^2*e*x^2*ln(c)+6*b*e^3*n*x^6+75*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+15*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^3+75*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2-225*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-75*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-15*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2-15*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^2*csgn(I*c)-75*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)+15*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-225*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+75*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^3+225*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^3-75*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+50*b*d*e^2*n*x^4+450*b*d^2*e*n*x^2)/x","C"
206,1,585,113,0.247000," ","int((e*x^2+d)^3*(b*ln(c*x^n)+a)/x^4,x)","-\frac{\left(-e^{3} x^{6}-9 d \,e^{2} x^{4}+9 d^{2} e \,x^{2}+d^{3}\right) b \ln \left(x^{n}\right)}{3 x^{3}}-\frac{-6 a \,e^{3} x^{6}-54 b d \,e^{2} x^{4} \ln \left(c \right)-54 a d \,e^{2} x^{4}+6 a \,d^{3}-6 b \,e^{3} x^{6} \ln \left(c \right)+2 b \,d^{3} n +6 b \,d^{3} \ln \left(c \right)+54 a \,d^{2} e \,x^{2}-3 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+54 b \,d^{2} e \,x^{2} \ln \left(c \right)-27 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+2 b \,e^{3} n \,x^{6}+3 i \pi  b \,e^{3} x^{6} \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 \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-27 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-27 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+27 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+27 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+54 b d \,e^{2} n \,x^{4}+54 b \,d^{2} e n \,x^{2}+27 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-27 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+27 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{18 x^{3}}"," ",0,"-1/3*b*(-e^3*x^6-9*d*e^2*x^4+9*d^2*e*x^2+d^3)/x^3*ln(x^n)-1/18*(-6*a*e^3*x^6-54*b*d*e^2*x^4*ln(c)-54*a*d*e^2*x^4+6*a*d^3-6*b*e^3*x^6*ln(c)+2*b*d^3*n+6*b*d^3*ln(c)+54*a*d^2*e*x^2+54*b*d^2*e*x^2*ln(c)-3*I*Pi*b*d^3*csgn(I*c*x^n)^3+2*b*e^3*n*x^6+27*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+3*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+27*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-27*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-27*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)-27*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+27*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+3*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^3+3*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+3*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)-27*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^3-3*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+27*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^3-3*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^2*csgn(I*c)-3*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2+54*b*d*e^2*n*x^4+54*b*d^2*e*n*x^2)/x^3","C"
207,1,585,112,0.257000," ","int((e*x^2+d)^3*(b*ln(c*x^n)+a)/x^6,x)","-\frac{\left(-5 e^{3} x^{6}+15 d \,e^{2} x^{4}+5 d^{2} e \,x^{2}+d^{3}\right) b \ln \left(x^{n}\right)}{5 x^{5}}-\frac{-150 a \,e^{3} x^{6}+450 b d \,e^{2} x^{4} \ln \left(c \right)+450 a d \,e^{2} x^{4}+30 a \,d^{3}-150 b \,e^{3} x^{6} \ln \left(c \right)+6 b \,d^{3} n +30 b \,d^{3} \ln \left(c \right)+150 a \,d^{2} e \,x^{2}-15 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+150 b \,d^{2} e \,x^{2} \ln \left(c \right)-75 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+150 b \,e^{3} n \,x^{6}+75 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-75 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-15 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+225 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+225 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+75 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+75 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+15 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+15 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-75 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+75 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+450 b d \,e^{2} n \,x^{4}+50 b \,d^{2} e n \,x^{2}-225 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-75 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-225 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{150 x^{5}}"," ",0,"-1/5*b*(-5*e^3*x^6+15*d*e^2*x^4+5*d^2*e*x^2+d^3)/x^5*ln(x^n)-1/150*(75*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)-150*a*e^3*x^6+450*b*d*e^2*x^4*ln(c)+450*a*d*e^2*x^4+30*a*d^3-150*b*e^3*x^6*ln(c)+6*b*d^3*n+30*b*d^3*ln(c)+150*a*d^2*e*x^2-75*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+150*b*d^2*e*x^2*ln(c)+150*b*e^3*n*x^6+75*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+225*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)-225*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-75*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2-15*I*Pi*b*d^3*csgn(I*c*x^n)^3+225*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+75*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-75*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^3-15*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+15*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+15*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+75*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^3-75*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^2*csgn(I*c)-225*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^3+450*b*d*e^2*n*x^4+50*b*d^2*e*n*x^2)/x^5","C"
208,1,587,117,0.178000," ","int((e*x^2+d)^3*(b*ln(c*x^n)+a)/x^8,x)","-\frac{\left(35 e^{3} x^{6}+35 d \,e^{2} x^{4}+21 d^{2} e \,x^{2}+5 d^{3}\right) b \ln \left(x^{n}\right)}{35 x^{7}}-\frac{7350 a \,e^{3} x^{6}+7350 b d \,e^{2} x^{4} \ln \left(c \right)+7350 a d \,e^{2} x^{4}+1050 a \,d^{3}+7350 b \,e^{3} x^{6} \ln \left(c \right)+150 b \,d^{3} n +1050 b \,d^{3} \ln \left(c \right)+4410 a \,d^{2} e \,x^{2}-525 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4410 b \,d^{2} e \,x^{2} \ln \left(c \right)-2205 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+7350 b \,e^{3} n \,x^{6}-3675 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+3675 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-525 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3675 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3675 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2205 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2205 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+525 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+525 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3675 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3675 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2450 b d \,e^{2} n \,x^{4}+882 b \,d^{2} e n \,x^{2}-3675 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2205 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-3675 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{7350 x^{7}}"," ",0,"-1/35*b*(35*e^3*x^6+35*d*e^2*x^4+21*d^2*e*x^2+5*d^3)/x^7*ln(x^n)-1/7350*(7350*a*e^3*x^6+7350*b*d*e^2*x^4*ln(c)+7350*a*d*e^2*x^4+1050*a*d^3-3675*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2205*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+7350*b*e^3*x^6*ln(c)+150*b*d^3*n+1050*b*d^3*ln(c)+4410*a*d^2*e*x^2+4410*b*d^2*e*x^2*ln(c)+7350*b*e^3*n*x^6-525*I*Pi*b*d^3*csgn(I*c*x^n)^3+2205*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+2205*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)-3675*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3675*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)+3675*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-3675*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^3+525*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+525*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)-2205*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^3-525*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3675*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2+2450*b*d*e^2*n*x^4+882*b*d^2*e*n*x^2+3675*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^2*csgn(I*c)-3675*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^3)/x^7","C"
209,1,587,117,0.185000," ","int((e*x^2+d)^3*(b*ln(c*x^n)+a)/x^10,x)","-\frac{\left(105 e^{3} x^{6}+189 d \,e^{2} x^{4}+135 d^{2} e \,x^{2}+35 d^{3}\right) b \ln \left(x^{n}\right)}{315 x^{9}}-\frac{66150 a \,e^{3} x^{6}+119070 b d \,e^{2} x^{4} \ln \left(c \right)+119070 a d \,e^{2} x^{4}+22050 a \,d^{3}+66150 b \,e^{3} x^{6} \ln \left(c \right)+2450 b \,d^{3} n +22050 b \,d^{3} \ln \left(c \right)+85050 a \,d^{2} e \,x^{2}-11025 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+85050 b \,d^{2} e \,x^{2} \ln \left(c \right)-42525 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+22050 b \,e^{3} n \,x^{6}-33075 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+33075 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-11025 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+59535 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+59535 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+42525 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+42525 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+11025 i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+11025 i \pi  b \,d^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+33075 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-33075 i \pi  b \,e^{3} x^{6} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+23814 b d \,e^{2} n \,x^{4}+12150 b \,d^{2} e n \,x^{2}-59535 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-42525 i \pi  b \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-59535 i \pi  b d \,e^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{198450 x^{9}}"," ",0,"-1/315*b*(105*e^3*x^6+189*d*e^2*x^4+135*d^2*e*x^2+35*d^3)/x^9*ln(x^n)-1/198450*(66150*a*e^3*x^6+119070*b*d*e^2*x^4*ln(c)+119070*a*d*e^2*x^4+22050*a*d^3+66150*b*e^3*x^6*ln(c)+2450*b*d^3*n+22050*b*d^3*ln(c)+85050*a*d^2*e*x^2-59535*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-42525*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+59535*I*Pi*b*d*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+42525*I*Pi*b*d^2*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+85050*b*d^2*e*x^2*ln(c)+22050*b*e^3*n*x^6-11025*I*Pi*b*d^3*csgn(I*c*x^n)^3+42525*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)-33075*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+59535*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)+11025*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+11025*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)-33075*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^3+33075*I*Pi*b*e^3*x^6*csgn(I*c*x^n)^2*csgn(I*c)-59535*I*Pi*b*d*e^2*x^4*csgn(I*c*x^n)^3+23814*b*d*e^2*n*x^4+12150*b*d^2*e*n*x^2-42525*I*Pi*b*d^2*e*x^2*csgn(I*c*x^n)^3-11025*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+33075*I*Pi*b*e^3*x^6*csgn(I*x^n)*csgn(I*c*x^n)^2)/x^9","C"
210,1,641,109,0.220000," ","int(x^5*(b*ln(c*x^n)+a)/(e*x^2+d),x)","-\frac{b d \,x^{2} \ln \left(c \right)}{2 e^{2}}+\frac{b \,d^{2} n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{3}}+\frac{b \,d^{2} n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{3}}+\frac{b \,d^{2} \ln \left(x^{n}\right) \ln \left(e \,x^{2}+d \right)}{2 e^{3}}+\frac{b \,d^{2} \ln \left(c \right) \ln \left(e \,x^{2}+d \right)}{2 e^{3}}-\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 e}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{4 e^{3}}-\frac{b d \,x^{2} \ln \left(x^{n}\right)}{2 e^{2}}-\frac{i \pi  b d \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e^{2}}-\frac{i \pi  b d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e^{2}}+\frac{a \,d^{2} \ln \left(e \,x^{2}+d \right)}{2 e^{3}}+\frac{b \,x^{4} \ln \left(c \right)}{4 e}-\frac{a d \,x^{2}}{2 e^{2}}+\frac{b \,d^{2} n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{3}}+\frac{b \,d^{2} n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{3}}-\frac{b \,d^{2} n \ln \left(x \right) \ln \left(e \,x^{2}+d \right)}{2 e^{3}}+\frac{a \,x^{4}}{4 e}-\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)}{8 e}+\frac{b \,x^{4} \ln \left(x^{n}\right)}{4 e}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{4 e^{3}}+\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 e^{2}}-\frac{i \pi  b \,d^{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^{2}+d \right)}{4 e^{3}}-\frac{b n \,x^{4}}{16 e}+\frac{i \pi  b d \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 e^{2}}-\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{2}+d \right)}{4 e^{3}}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 e}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 e}+\frac{b d n \,x^{2}}{4 e^{2}}"," ",0,"-1/2*b*d/e^2*x^2*ln(c)-1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e*x^4+1/2*b*ln(x^n)*d^2/e^3*ln(e*x^2+d)+1/2*b*ln(c)*d^2/e^3*ln(e*x^2+d)+1/2*b*n*d^2/e^3*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n*d^2/e^3*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/8*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e*x^4-1/4*I*b*Pi*csgn(I*c*x^n)^3*d^2/e^3*ln(e*x^2+d)+1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e*x^4-1/2*b*d/e^2*x^2*ln(x^n)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^2*x^2*d-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^2*x^2*d+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^2/e^3*ln(e*x^2+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^2/e^3*ln(e*x^2+d)+1/2*a*d^2/e^3*ln(e*x^2+d)+1/4*b*ln(c)/e*x^4+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^2*x^2*d-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^2/e^3*ln(e*x^2+d)-1/2*a*d/e^2*x^2-1/8*I*b*Pi*csgn(I*c*x^n)^3/e*x^4+1/2*b*n*d^2/e^3*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n*d^2/e^3*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n*d^2/e^3*ln(x)*ln(e*x^2+d)+1/4*a/e*x^4+1/4*I*b*Pi*csgn(I*c*x^n)^3/e^2*x^2*d+1/4*b*ln(x^n)/e*x^4-1/16*b*n*x^4/e+1/4*b*d/e^2*n*x^2","C"
211,1,460,75,0.212000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x^2+d),x)","-\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 e}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 e}+\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(e \,x^{2}+d \right)}{4 e^{2}}-\frac{i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{4 e^{2}}-\frac{i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{4 e^{2}}+\frac{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{2}+d \right)}{4 e^{2}}-\frac{b d n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{2}}-\frac{b d n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{2}}+\frac{b d n \ln \left(x \right) \ln \left(e \,x^{2}+d \right)}{2 e^{2}}-\frac{b n \,x^{2}}{4 e}+\frac{b \,x^{2} \ln \left(c \right)}{2 e}+\frac{b \,x^{2} \ln \left(x^{n}\right)}{2 e}+\frac{a \,x^{2}}{2 e}-\frac{b d n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{2}}-\frac{b d n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{2}}-\frac{b d \ln \left(c \right) \ln \left(e \,x^{2}+d \right)}{2 e^{2}}-\frac{b d \ln \left(x^{n}\right) \ln \left(e \,x^{2}+d \right)}{2 e^{2}}-\frac{a d \ln \left(e \,x^{2}+d \right)}{2 e^{2}}"," ",0,"1/2*b*ln(x^n)/e*x^2-1/2*b*ln(x^n)*d/e^2*ln(e*x^2+d)-1/4*b/e*n*x^2+1/2*b*n*d/e^2*ln(x)*ln(e*x^2+d)-1/2*b*n*d/e^2*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n*d/e^2*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n*d/e^2*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n*d/e^2*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e*x^2+1/4*I*b*Pi*csgn(I*c*x^n)^3*d/e^2*ln(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d/e^2*ln(e*x^2+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d/e^2*ln(e*x^2+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d/e^2*ln(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^3/e*x^2-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e*x^2+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e*x^2+1/2*b/e*x^2*ln(c)-1/2*b*ln(c)*d/e^2*ln(e*x^2+d)+1/2*a/e*x^2-1/2*a*d/e^2*ln(e*x^2+d)","C"
212,1,299,45,0.178000," ","int(x*(b*ln(c*x^n)+a)/(e*x^2+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(e \,x^{2}+d \right)}{4 e}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{4 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^{2}+d \right)}{4 e}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{2}+d \right)}{4 e}+\frac{b n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e}+\frac{b n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e}-\frac{b n \ln \left(x \right) \ln \left(e \,x^{2}+d \right)}{2 e}+\frac{b n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e}+\frac{b n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e}+\frac{b \ln \left(c \right) \ln \left(e \,x^{2}+d \right)}{2 e}+\frac{b \ln \left(x^{n}\right) \ln \left(e \,x^{2}+d \right)}{2 e}+\frac{a \ln \left(e \,x^{2}+d \right)}{2 e}"," ",0,"1/2*b/e*ln(e*x^2+d)*ln(x^n)-1/2*b/e*n*ln(x)*ln(e*x^2+d)+1/2*b/e*n*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b/e*n*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b/e*n*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b/e*n*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*I/e*ln(e*x^2+d)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/4*I/e*ln(e*x^2+d)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4*I/e*ln(e*x^2+d)*b*Pi*csgn(I*c*x^n)^3+1/4*I/e*ln(e*x^2+d)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2/e*ln(e*x^2+d)*b*ln(c)+1/2*a/e*ln(e*x^2+d)","C"
213,1,439,45,0.192000," ","int((b*ln(c*x^n)+a)/x/(e*x^2+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(x \right)}{2 d}+\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^{2}+d \right)}{4 d}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{4 d}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{4 d}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{2}+d \right)}{4 d}-\frac{b n \ln \left(x \right)^{2}}{2 d}-\frac{b n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d}-\frac{b n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d}+\frac{b n \ln \left(x \right) \ln \left(e \,x^{2}+d \right)}{2 d}-\frac{b n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d}-\frac{b n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d}+\frac{b \ln \left(c \right) \ln \left(x \right)}{d}-\frac{b \ln \left(c \right) \ln \left(e \,x^{2}+d \right)}{2 d}+\frac{b \ln \left(x \right) \ln \left(x^{n}\right)}{d}-\frac{b \ln \left(x^{n}\right) \ln \left(e \,x^{2}+d \right)}{2 d}+\frac{a \ln \left(x \right)}{d}-\frac{a \ln \left(e \,x^{2}+d \right)}{2 d}"," ",0,"-1/2*b*ln(x^n)/d*ln(e*x^2+d)+b*ln(x^n)/d*ln(x)+1/2*b*n/d*ln(x)*ln(e*x^2+d)-1/2*b*n/d*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n/d*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n/d*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n/d*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b/d*n*ln(x)^2-1/2*I*b*Pi*csgn(I*c*x^n)^3/d*ln(x)+1/4*I*b*Pi*csgn(I*c*x^n)^3/d*ln(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d*ln(e*x^2+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d*ln(x)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d*ln(e*x^2+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d*ln(x)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d*ln(e*x^2+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d*ln(x)-1/2*b*ln(c)/d*ln(e*x^2+d)+b/d*ln(c)*ln(x)-1/2*a/d*ln(e*x^2+d)+a/d*ln(x)","C"
214,1,611,78,0.194000," ","int((b*ln(c*x^n)+a)/x^3/(e*x^2+d),x)","\frac{b e n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{2}}+\frac{b e n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{2}}+\frac{b e \ln \left(x^{n}\right) \ln \left(e \,x^{2}+d \right)}{2 d^{2}}-\frac{b e \ln \left(x \right) \ln \left(x^{n}\right)}{d^{2}}+\frac{b e \ln \left(c \right) \ln \left(e \,x^{2}+d \right)}{2 d^{2}}+\frac{b e n \ln \left(x \right)^{2}}{2 d^{2}}-\frac{b e \ln \left(c \right) \ln \left(x \right)}{d^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d \,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)}{4 d \,x^{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^{2}+d \right)}{4 d^{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 d^{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 d^{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^{2}+d \right)}{4 d^{2}}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{2}}-\frac{b \ln \left(x^{n}\right)}{2 d \,x^{2}}-\frac{b e n \ln \left(x \right) \ln \left(e \,x^{2}+d \right)}{2 d^{2}}+\frac{b e n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{2}}-\frac{b \ln \left(c \right)}{2 d \,x^{2}}+\frac{a e \ln \left(e \,x^{2}+d \right)}{2 d^{2}}-\frac{a}{2 d \,x^{2}}+\frac{b e n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{2}}-\frac{a e \ln \left(x \right)}{d^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d \,x^{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(x \right)}{2 d^{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^{2}+d \right)}{4 d^{2}}-\frac{b n}{4 d \,x^{2}}-\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{2}+d \right)}{4 d^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d \,x^{2}}"," ",0,"1/2*b*ln(x^n)*e/d^2*ln(e*x^2+d)-b*ln(x^n)*e/d^2*ln(x)+1/2*b*ln(c)*e/d^2*ln(e*x^2+d)+1/2*b*n*e/d^2*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n*e/d^2*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b/d^2*e*n*ln(x)^2-b/d^2*e*ln(c)*ln(x)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2*ln(x)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2*ln(e*x^2+d)+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2*ln(e*x^2+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2*ln(x)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/x^2+1/4*I*b*Pi*csgn(I*c*x^n)^3/d/x^2-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2*ln(e*x^2+d)-1/2*b/d/x^2*ln(x^n)-1/2*b*n*e/d^2*ln(x)*ln(e*x^2+d)+1/2*b*n*e/d^2*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2*ln(x)-1/2*b/d/x^2*ln(c)+1/2*a*e/d^2*ln(e*x^2+d)-1/2*a/d/x^2+1/2*b*n*e/d^2*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-a/d^2*e*ln(x)+1/2*I*b*Pi*csgn(I*c*x^n)^3*e/d^2*ln(x)-1/4*b/d*n/x^2-1/4*I*b*Pi*csgn(I*c*x^n)^3*e/d^2*ln(e*x^2+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/x^2-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/x^2","C"
215,1,805,112,0.206000," ","int((b*ln(c*x^n)+a)/x^5/(e*x^2+d),x)","-\frac{b \,e^{2} \ln \left(c \right) \ln \left(e \,x^{2}+d \right)}{2 d^{3}}+\frac{b \,e^{2} \ln \left(x \right) \ln \left(x^{n}\right)}{d^{3}}+\frac{b \,e^{2} \ln \left(c \right) \ln \left(x \right)}{d^{3}}-\frac{b \,e^{2} n \ln \left(x \right)^{2}}{2 d^{3}}+\frac{b e \ln \left(c \right)}{2 d^{2} x^{2}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{3}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{3}}-\frac{b \,e^{2} \ln \left(x^{n}\right) \ln \left(e \,x^{2}+d \right)}{2 d^{3}}+\frac{b e \ln \left(x^{n}\right)}{2 d^{2} x^{2}}-\frac{b \ln \left(x^{n}\right)}{4 d \,x^{4}}-\frac{b \ln \left(c \right)}{4 d \,x^{4}}-\frac{a \,e^{2} \ln \left(e \,x^{2}+d \right)}{2 d^{3}}+\frac{a e}{2 d^{2} x^{2}}+\frac{b \,e^{2} n \ln \left(x \right) \ln \left(e \,x^{2}+d \right)}{2 d^{3}}-\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 d^{2} x^{2}}+\frac{a \,e^{2} \ln \left(x \right)}{d^{3}}-\frac{b \,e^{2} n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{3}}-\frac{b \,e^{2} n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{3}}-\frac{a}{4 d \,x^{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^{2}+d \right)}{4 d^{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)}{8 d \,x^{4}}+\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{2} x^{2}}-\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^{2}+d \right)}{4 d^{3}}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{2} 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^{2}+d \right)}{4 d^{3}}-\frac{b \,e^{2} n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{3}}-\frac{b \,e^{2} n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{3}}-\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(x \right)}{2 d^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 d \,x^{4}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 d \,x^{4}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{2}+d \right)}{4 d^{3}}-\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d^{2} x^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 d \,x^{4}}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{3}}-\frac{b n}{16 d \,x^{4}}+\frac{b e n}{4 d^{2} x^{2}}"," ",0,"-1/2*b*ln(c)*e^2/d^3*ln(e*x^2+d)-1/2*b*n*e^2/d^3*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n*e^2/d^3*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+b/d^3*e^2*ln(x)*ln(x^n)+b/d^3*e^2*ln(c)*ln(x)-1/2*b/d^3*e^2*n*ln(x)^2+1/2*b/d^2*e/x^2*ln(c)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3*ln(e*x^2+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2/x^2+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3*ln(x)-1/2*b*ln(x^n)*e^2/d^3*ln(e*x^2+d)+1/2*b*ln(x^n)*e/d^2/x^2-1/4*b*ln(x^n)/d/x^4-1/4*b*ln(c)/d/x^4+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3*ln(x)-1/2*a*e^2/d^3*ln(e*x^2+d)+1/8*I*b*Pi*csgn(I*c*x^n)^3/d/x^4-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3*ln(e*x^2+d)+1/2*a/d^2*e/x^2+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2/x^2+1/2*b*n*e^2/d^3*ln(x)*ln(e*x^2+d)+a/d^3*e^2*ln(x)-1/2*b*n*e^2/d^3*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n*e^2/d^3*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/4*a/d/x^4+1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/x^4+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2/x^2-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3*ln(x)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3*ln(e*x^2+d)-1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/x^4+1/4*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3*ln(e*x^2+d)-1/8*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/x^4-1/16*b*n/d/x^4-1/2*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3*ln(x)-1/4*I*b*Pi*csgn(I*c*x^n)^3*e/d^2/x^2+1/4*b/d^2*e*n/x^2","C"
216,1,693,131,0.241000," ","int(x^4*(b*ln(c*x^n)+a)/(e*x^2+d),x)","-\frac{b d x \ln \left(x^{n}\right)}{e^{2}}+\frac{a \,x^{3}}{3 e}+\frac{a \,d^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e}\, e^{2}}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 e}+\frac{b \,d^{2} n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, e^{2}}-\frac{b \,d^{2} n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, e^{2}}-\frac{b \,d^{2} n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, e^{2}}-\frac{b d x \ln \left(c \right)}{e^{2}}+\frac{b \,d^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{\sqrt{d e}\, e^{2}}-\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)}{6 e}+\frac{b \,d^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{\sqrt{d e}\, e^{2}}+\frac{b \,x^{3} \ln \left(c \right)}{3 e}-\frac{b \,d^{2} n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{\sqrt{d e}\, e^{2}}+\frac{b \,d^{2} n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, e^{2}}+\frac{b \,x^{3} \ln \left(x^{n}\right)}{3 e}-\frac{i \pi  b \,d^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \sqrt{d e}\, e^{2}}-\frac{i \pi  b d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{2}}-\frac{i \pi  b d x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{2}}-\frac{i \pi  b \,d^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \sqrt{d e}\, e^{2}}+\frac{i \pi  b \,d^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \sqrt{d e}\, e^{2}}+\frac{i \pi  b \,d^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \sqrt{d e}\, e^{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 e^{2}}-\frac{b n \,x^{3}}{9 e}+\frac{i \pi  b d x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 e^{2}}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 e}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 e}+\frac{b d n x}{e^{2}}-\frac{a d x}{e^{2}}"," ",0,"-b*ln(x^n)/e^2*x*d+1/3*a/e*x^3+a*d^2/e^2/(d*e)^(1/2)*arctan(x*e/(d*e)^(1/2))-1/2*b*n*d^2/e^2/(-d*e)^(1/2)*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-b*d/e^2*x*ln(c)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^2/e^2/(d*e)^(1/2)*arctan(x*e/(d*e)^(1/2))+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^2*x*d-1/6*I*b*Pi*csgn(I*c*x^n)^3/e*x^3+b*d^2/e^2/(d*e)^(1/2)*arctan(x*e/(d*e)^(1/2))*ln(x^n)+1/2*b*n*d^2/e^2/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n*d^2/e^2/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^2/e^2/(d*e)^(1/2)*arctan(x*e/(d*e)^(1/2))+b*ln(c)*d^2/e^2/(d*e)^(1/2)*arctan(x*e/(d*e)^(1/2))-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^2*x*d+1/3*b/e*x^3*ln(c)-b*d^2/e^2/(d*e)^(1/2)*arctan(x*e/(d*e)^(1/2))*n*ln(x)+1/2*b*n*d^2/e^2/(-d*e)^(1/2)*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e*x^3+1/3*b/e*x^3*ln(x^n)-1/2*I*b*Pi*csgn(I*c*x^n)^3*d^2/e^2/(d*e)^(1/2)*arctan(x*e/(d*e)^(1/2))-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^2*x*d+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^2/e^2/(d*e)^(1/2)*arctan(x*e/(d*e)^(1/2))-1/9*b/e*n*x^3+1/2*I*b*Pi*csgn(I*c*x^n)^3/e^2*x*d+1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e*x^3+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e*x^3+b*d/e^2*n*x-a*d/e^2*x","C"
217,1,512,100,0.237000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x^2+d),x)","\frac{i \pi  b d \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \sqrt{d e}\, e}-\frac{i \pi  b d \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \sqrt{d e}\, e}-\frac{i \pi  b d \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \sqrt{d e}\, e}+\frac{i \pi  b d \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \sqrt{d e}\, e}+\frac{b d n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{\sqrt{d e}\, e}-\frac{b d n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, e}+\frac{b d n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, 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)}{2 e}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e}+\frac{i \pi  b x \,\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}}{2 e}-\frac{b d n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, e}+\frac{b d n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, e}-\frac{b d \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{\sqrt{d e}\, e}-\frac{b d \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{\sqrt{d e}\, e}-\frac{a d \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e}\, e}-\frac{b n x}{e}+\frac{b x \ln \left(c \right)}{e}+\frac{b x \ln \left(x^{n}\right)}{e}+\frac{a x}{e}"," ",0,"b*ln(x^n)/e*x+b*d/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)-b*d/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)-b/e*n*x-1/2*b*n*d/e/(-d*e)^(1/2)*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n*d/e/(-d*e)^(1/2)*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n*d/e/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n*d/e/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*I*b*Pi*csgn(I*c*x^n)^3/e*x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e*x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e*x+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e*x+1/2*I*b*Pi*csgn(I*c*x^n)^3*d/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+b/e*x*ln(c)-b*ln(c)*d/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+a/e*x-a*d/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)","C"
218,1,332,73,0.269000," ","int((b*ln(c*x^n)+a)/(e*x^2+d),x)","-\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \sqrt{d e}}+\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \sqrt{d e}}+\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \sqrt{d e}}-\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \sqrt{d e}}-\frac{b n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{\sqrt{d e}}+\frac{b n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}}-\frac{b n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}}+\frac{b n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}}-\frac{b n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}}+\frac{b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{\sqrt{d e}}+\frac{b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{\sqrt{d e}}+\frac{a \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e}}"," ",0,"-b/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)+b/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)+1/2*b*n/(-d*e)^(1/2)*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n/(-d*e)^(1/2)*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*I/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*b*Pi*csgn(I*c*x^n)^3+1/2*I/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*b*ln(c)+a/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)","C"
219,1,531,104,0.292000," ","int((b*ln(c*x^n)+a)/x^2/(e*x^2+d),x)","\frac{i \pi  b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \sqrt{d e}\, d}-\frac{i \pi  b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \sqrt{d e}\, d}-\frac{i \pi  b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \sqrt{d e}\, d}+\frac{i \pi  b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \sqrt{d e}\, d}+\frac{b e n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{\sqrt{d e}\, d}-\frac{b e n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d}+\frac{b e n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d}-\frac{b e n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d}+\frac{b e n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d}-\frac{b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{\sqrt{d e}\, d}-\frac{b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{\sqrt{d e}\, d}-\frac{a e \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e}\, d}+\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 d x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d x}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d x}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d x}-\frac{b n}{d x}-\frac{b \ln \left(c \right)}{d x}-\frac{b \ln \left(x^{n}\right)}{d x}-\frac{a}{d x}"," ",0,"-b*ln(x^n)/d/x+b*e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)-b*e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)-b/d*n/x-1/2*b*n*e/d/(-d*e)^(1/2)*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n*e/d/(-d*e)^(1/2)*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n*e/d/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n*e/d/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*I*b*Pi*csgn(I*c*x^n)^3/d/x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/x+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/x+1/2*I*b*Pi*csgn(I*c*x^n)^3*e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-b/d/x*ln(c)-b*ln(c)*e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-a/d/x-a*e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)","C"
220,1,706,132,0.301000," ","int((b*ln(c*x^n)+a)/x^4/(e*x^2+d),x)","\frac{a \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e}\, d^{2}}+\frac{b e \ln \left(x^{n}\right)}{d^{2} x}+\frac{b e \ln \left(c \right)}{d^{2} x}+\frac{b \,e^{2} n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d^{2}}-\frac{b \,e^{2} n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d^{2}}+\frac{b \,e^{2} n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d^{2}}-\frac{b \,e^{2} n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d^{2}}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{2} x}+\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{2} x}-\frac{b \ln \left(x^{n}\right)}{3 d \,x^{3}}+\frac{i \pi  b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \sqrt{d e}\, d^{2}}+\frac{b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{\sqrt{d e}\, d^{2}}-\frac{b \ln \left(c \right)}{3 d \,x^{3}}+\frac{i \pi  b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \sqrt{d e}\, d^{2}}-\frac{b \,e^{2} n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{\sqrt{d e}\, d^{2}}+\frac{a e}{d^{2} x}-\frac{a}{3 d \,x^{3}}+\frac{b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{\sqrt{d e}\, d^{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)}{6 d \,x^{3}}-\frac{i \pi  b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \sqrt{d e}\, d^{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)}{2 d^{2} x}-\frac{i \pi  b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \sqrt{d e}\, d^{2}}-\frac{b n}{9 d \,x^{3}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 d \,x^{3}}-\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{2} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 d \,x^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 d \,x^{3}}+\frac{b e n}{d^{2} x}"," ",0,"1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+a*e^2/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+b/d^2*e/x*ln(x^n)+b/d^2*e/x*ln(c)+1/2*b*n*e^2/d^2/(-d*e)^(1/2)*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n*e^2/d^2/(-d*e)^(1/2)*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/2*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/x^3-1/3*b*ln(x^n)/d/x^3+1/6*I*b*Pi*csgn(I*c*x^n)^3/d/x^3+b*e^2/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2/x-1/3*b/d/x^3*ln(c)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2/x-b*e^2/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)+1/2*b*n*e^2/d^2/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n*e^2/d^2/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+a/d^2*e/x-1/3*a/d/x^3+b*ln(c)*e^2/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2/x-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/x^3-1/9*b/d*n/x^3-1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/x^3-1/2*I*b*Pi*csgn(I*c*x^n)^3*e/d^2/x+b/d^2*e*n/x","C"
221,1,687,119,0.224000," ","int(x^5*(b*ln(c*x^n)+a)/(e*x^2+d)^2,x)","\frac{b d n \ln \left(x \right)}{2 e^{3}}-\frac{b \,d^{2} \ln \left(c \right)}{2 \left(e \,x^{2}+d \right) e^{3}}-\frac{b d \ln \left(c \right) \ln \left(e \,x^{2}+d \right)}{e^{3}}+\frac{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{2}+d \right)}{2 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)}{4 e^{2}}-\frac{i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{2 e^{3}}-\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) e^{3}}-\frac{b d \ln \left(x^{n}\right) \ln \left(e \,x^{2}+d \right)}{e^{3}}-\frac{b \,d^{2} \ln \left(x^{n}\right)}{2 \left(e \,x^{2}+d \right) e^{3}}-\frac{b d n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{e^{3}}-\frac{b d n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{e^{3}}+\frac{b d n \ln \left(x \right) \ln \left(e \,x^{2}+d \right)}{e^{3}}+\frac{b \,x^{2} \ln \left(x^{n}\right)}{2 e^{2}}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \left(e \,x^{2}+d \right) e^{3}}-\frac{a \,d^{2}}{2 \left(e \,x^{2}+d \right) e^{3}}-\frac{a d \ln \left(e \,x^{2}+d \right)}{e^{3}}+\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(e \,x^{2}+d \right)}{2 e^{3}}+\frac{b \,x^{2} \ln \left(c \right)}{2 e^{2}}+\frac{a \,x^{2}}{2 e^{2}}-\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) e^{3}}-\frac{i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{2 e^{3}}-\frac{b d n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{e^{3}}-\frac{b d n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{e^{3}}-\frac{b n \,x^{2}}{4 e^{2}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e^{2}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e^{2}}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e \,x^{2}+d \right) e^{3}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 e^{2}}-\frac{b d n \ln \left(e \,x^{2}+d \right)}{4 e^{3}}"," ",0,"1/2*b*n/e^3*d*ln(x)-b*n*d/e^3*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-b*n*d/e^3*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*ln(c)*d^2/e^3/(e*x^2+d)-b*ln(c)/e^3*d*ln(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^3/e^2*x^2-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^2/e^3/(e*x^2+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^3*d*ln(e*x^2+d)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^3*d*ln(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^2/e^3/(e*x^2+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^2*x^2-b*ln(x^n)*d/e^3*ln(e*x^2+d)-1/2*b*ln(x^n)*d^2/e^3/(e*x^2+d)-b*n*d/e^3*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-b*n*d/e^3*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+b*n*d/e^3*ln(x)*ln(e*x^2+d)+1/2*b*ln(x^n)/e^2*x^2-1/2*a*d^2/e^3/(e*x^2+d)-a*d/e^3*ln(e*x^2+d)+1/2*b/e^2*x^2*ln(c)+1/2*a/e^2*x^2+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^2/e^3/(e*x^2+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^3*d*ln(e*x^2+d)-1/4*b/e^2*n*x^2+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^2*x^2+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^2*x^2+1/4*I*b*Pi*csgn(I*c*x^n)^3*d^2/e^3/(e*x^2+d)+1/2*I*b*Pi*csgn(I*c*x^n)^3/e^3*d*ln(e*x^2+d)-1/4*b*d*n*ln(e*x^2+d)/e^3","C"
222,1,511,87,0.192000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x^2+d)^2,x)","-\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)}{4 \left(e \,x^{2}+d \right) e^{2}}+\frac{i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) e^{2}}+\frac{i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) e^{2}}-\frac{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e \,x^{2}+d \right) e^{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^{2}+d \right)}{4 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^{2}+d \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^{2}+d \right)}{4 e^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{2}+d \right)}{4 e^{2}}+\frac{b n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{2}}+\frac{b n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{2}}-\frac{b n \ln \left(x \right) \ln \left(e \,x^{2}+d \right)}{2 e^{2}}+\frac{b d \ln \left(c \right)}{2 \left(e \,x^{2}+d \right) e^{2}}+\frac{b d \ln \left(x^{n}\right)}{2 \left(e \,x^{2}+d \right) e^{2}}+\frac{b n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{2}}+\frac{b n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{2}}-\frac{b n \ln \left(x \right)}{2 e^{2}}+\frac{b n \ln \left(e \,x^{2}+d \right)}{4 e^{2}}+\frac{b \ln \left(c \right) \ln \left(e \,x^{2}+d \right)}{2 e^{2}}+\frac{b \ln \left(x^{n}\right) \ln \left(e \,x^{2}+d \right)}{2 e^{2}}+\frac{a d}{2 \left(e \,x^{2}+d \right) e^{2}}+\frac{a \ln \left(e \,x^{2}+d \right)}{2 e^{2}}"," ",0,"1/2*b*ln(x^n)*d/e^2/(e*x^2+d)+1/2*b*ln(x^n)/e^2*ln(e*x^2+d)-1/2*b*n/e^2*ln(x)*ln(e*x^2+d)+1/2*b*n/e^2*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n/e^2*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n/e^2*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n/e^2*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*b*n*ln(e*x^2+d)/e^2-1/2*b*n/e^2*ln(x)+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d/e^2/(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^3*d/e^2/(e*x^2+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d/e^2/(e*x^2+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d/e^2/(e*x^2+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^2*ln(e*x^2+d)+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^2*ln(e*x^2+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^2*ln(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^3/e^2*ln(e*x^2+d)+1/2*b*ln(c)*d/e^2/(e*x^2+d)+1/2*b*ln(c)/e^2*ln(e*x^2+d)+1/2*a*d/e^2/(e*x^2+d)+1/2*a/e^2*ln(e*x^2+d)","C"
223,1,179,46,0.197000," ","int(x*(b*ln(c*x^n)+a)/(e*x^2+d)^2,x)","-\frac{b \ln \left(x^{n}\right)}{2 \left(e \,x^{2}+d \right) e}-\frac{-2 b e n \,x^{2} \ln \left(x \right)+b e n \,x^{2} \ln \left(e \,x^{2}+d \right)-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)+i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 b d n \ln \left(x \right)+b d n \ln \left(e \,x^{2}+d \right)+2 b d \ln \left(c \right)+2 a d}{4 \left(e \,x^{2}+d \right) d e}"," ",0,"-1/2*b/e/(e*x^2+d)*ln(x^n)-1/4*(I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*d*csgn(I*c*x^n)^3+I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)-2*ln(x)*b*e*n*x^2+ln(e*x^2+d)*b*e*n*x^2-2*ln(x)*b*d*n+ln(e*x^2+d)*b*d*n+2*b*d*ln(c)+2*a*d)/(e*x^2+d)/e/d","C"
224,1,644,76,0.199000," ","int((b*ln(c*x^n)+a)/x/(e*x^2+d)^2,x)","\frac{b n \ln \left(x \right) \ln \left(e \,x^{2}+d \right)}{2 d^{2}}-\frac{b n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{2}}-\frac{b n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{2}}+\frac{b \ln \left(x \right) \ln \left(x^{n}\right)}{d^{2}}-\frac{b n \ln \left(x \right)^{2}}{2 d^{2}}-\frac{b n \ln \left(x \right)}{2 d^{2}}+\frac{b \ln \left(c \right)}{2 \left(e \,x^{2}+d \right) d}-\frac{b \ln \left(c \right) \ln \left(e \,x^{2}+d \right)}{2 d^{2}}+\frac{a}{2 \left(e \,x^{2}+d \right) d}-\frac{a \ln \left(e \,x^{2}+d \right)}{2 d^{2}}-\frac{b n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{2}}-\frac{b n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{2}}+\frac{b \ln \left(x^{n}\right)}{2 \left(e \,x^{2}+d \right) d}-\frac{b \ln \left(x^{n}\right) \ln \left(e \,x^{2}+d \right)}{2 d^{2}}+\frac{b \ln \left(c \right) \ln \left(x \right)}{d^{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^{2}+d \right)}{4 d^{2}}+\frac{b n \ln \left(e \,x^{2}+d \right)}{4 d^{2}}+\frac{a \ln \left(x \right)}{d^{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(x \right)}{2 d^{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)}{4 \left(e \,x^{2}+d \right) d}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{4 d^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) d}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) d}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{4 d^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e \,x^{2}+d \right) d}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{2}+d \right)}{4 d^{2}}"," ",0,"1/2*b*n/d^2*ln(x)*ln(e*x^2+d)-1/2*b*n/d^2*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n/d^2*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2*ln(x)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/(e*x^2+d)+b*ln(x^n)/d^2*ln(x)-1/2*b/d^2*n*ln(x)^2-1/2*b/d^2*n*ln(x)+1/2*b*ln(c)/d/(e*x^2+d)-1/2*b*ln(c)/d^2*ln(e*x^2+d)+1/2*a/d/(e*x^2+d)-1/2*a/d^2*ln(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^3/d/(e*x^2+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/d^2*ln(x)+1/4*I*b*Pi*csgn(I*c*x^n)^3/d^2*ln(e*x^2+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2*ln(e*x^2+d)+1/2*b*ln(x^n)/d/(e*x^2+d)-1/2*b*ln(x^n)/d^2*ln(e*x^2+d)+b/d^2*ln(c)*ln(x)+1/4*b*n/d^2*ln(e*x^2+d)-1/2*b*n/d^2*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n/d^2*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+a/d^2*ln(x)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2*ln(e*x^2+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/(e*x^2+d)+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2*ln(e*x^2+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2*ln(x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2*ln(x)","C"
225,1,817,115,0.202000," ","int((b*ln(c*x^n)+a)/x^3/(e*x^2+d)^2,x)","-\frac{2 b e \ln \left(c \right) \ln \left(x \right)}{d^{3}}+\frac{b e n \ln \left(x \right)^{2}}{d^{3}}+\frac{b e n \ln \left(x \right)}{2 d^{3}}-\frac{b \ln \left(x^{n}\right)}{2 d^{2} x^{2}}-\frac{a}{2 d^{2} x^{2}}-\frac{b e n \ln \left(x \right) \ln \left(e \,x^{2}+d \right)}{d^{3}}-\frac{a e}{2 \left(e \,x^{2}+d \right) d^{2}}+\frac{a e \ln \left(e \,x^{2}+d \right)}{d^{3}}-\frac{2 a e \ln \left(x \right)}{d^{3}}-\frac{b \ln \left(c \right)}{2 d^{2} x^{2}}+\frac{b e n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{d^{3}}+\frac{b e n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{d^{3}}+\frac{b e \ln \left(c \right) \ln \left(e \,x^{2}+d \right)}{d^{3}}-\frac{b e \ln \left(c \right)}{2 \left(e \,x^{2}+d \right) d^{2}}-\frac{b e n \ln \left(e \,x^{2}+d \right)}{4 d^{3}}+\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 \left(e \,x^{2}+d \right) d^{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(x \right)}{d^{3}}-\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^{2}+d \right)}{2 d^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{2} x^{2}}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e \,x^{2}+d \right) d^{2}}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{d^{3}}-\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{2}+d \right)}{2 d^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{2} x^{2}}-\frac{b n}{4 d^{2} x^{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^{2}+d \right)}{2 d^{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)}{4 d^{2} x^{2}}+\frac{b e n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{d^{3}}+\frac{b e n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{d^{3}}+\frac{b e \ln \left(x^{n}\right) \ln \left(e \,x^{2}+d \right)}{d^{3}}-\frac{b e \ln \left(x^{n}\right)}{2 \left(e \,x^{2}+d \right) d^{2}}-\frac{2 b e \ln \left(x \right) \ln \left(x^{n}\right)}{d^{3}}-\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)}{d^{3}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) d^{2}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) d^{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)}{d^{3}}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{2 d^{3}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d^{2} x^{2}}"," ",0,"-2*b/d^3*e*ln(c)*ln(x)+b/d^3*e*n*ln(x)^2+1/2*b/d^3*e*n*ln(x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*e*ln(e*x^2+d)-I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*e*ln(x)-I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*e*ln(x)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2/x^2+1/4*I*b*Pi*csgn(I*c*x^n)^3/d^2/x^2-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2/(e*x^2+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*e*ln(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2/(e*x^2+d)-1/2*b*ln(x^n)/d^2/x^2+I*b*Pi*csgn(I*c*x^n)^3/d^3*e*ln(x)-1/2*a/d^2/x^2-b*n/d^3*e*ln(x)*ln(e*x^2+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2/(e*x^2+d)-1/2*a*e/d^2/(e*x^2+d)+a*e/d^3*ln(e*x^2+d)-2*a/d^3*e*ln(x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*e*ln(e*x^2+d)-1/2*b/d^2/x^2*ln(c)+b*n/d^3*e*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+b*n/d^3*e*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*e*ln(x)+1/4*I*b*Pi*csgn(I*c*x^n)^3*e/d^2/(e*x^2+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/d^3*e*ln(e*x^2+d)+b*ln(c)/d^3*e*ln(e*x^2+d)-1/2*b*ln(c)*e/d^2/(e*x^2+d)+b*n/d^3*e*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+b*n/d^3*e*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/4*b*n/d^3*e*ln(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2/x^2-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2/x^2-1/4*b/d^2*n/x^2+b*ln(x^n)*e/d^3*ln(e*x^2+d)-1/2*b*ln(x^n)*e/d^2/(e*x^2+d)-2*b*ln(x^n)/d^3*e*ln(x)","C"
226,1,913,145,0.301000," ","int(x^4*(b*ln(c*x^n)+a)/(e*x^2+d)^2,x)","\frac{b d x \ln \left(c \right)}{2 \left(e \,x^{2}+d \right) e^{2}}-\frac{3 b d \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{2 \sqrt{d e}\, e^{2}}-\frac{b d n \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{2 \sqrt{d e}\, e^{2}}+\frac{b d x \ln \left(x^{n}\right)}{2 \left(e \,x^{2}+d \right) e^{2}}-\frac{3 b d \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{2 \sqrt{d e}\, e^{2}}+\frac{b \,d^{2} n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, e^{2}}-\frac{b \,d^{2} n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, e^{2}}+\frac{b x \ln \left(x^{n}\right)}{e^{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)}{4 \left(e \,x^{2}+d \right) e^{2}}+\frac{3 i \pi  b d \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \sqrt{d e}\, e^{2}}-\frac{b d n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, e}+\frac{b d n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, e}+\frac{b x \ln \left(c \right)}{e^{2}}-\frac{3 b d n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \sqrt{-d e}\, e^{2}}+\frac{3 b d n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \sqrt{-d e}\, e^{2}}-\frac{3 i \pi  b d \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \sqrt{d e}\, e^{2}}-\frac{3 i \pi  b d \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \sqrt{d e}\, e^{2}}-\frac{b d n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{\sqrt{-d e}\, e^{2}}+\frac{b d n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{\sqrt{-d e}\, e^{2}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{2}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{2}}-\frac{b n x}{e^{2}}+\frac{a x}{e^{2}}+\frac{i \pi  b d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) e^{2}}+\frac{i \pi  b d x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) e^{2}}+\frac{a d x}{2 \left(e \,x^{2}+d \right) e^{2}}-\frac{3 a d \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{2 \sqrt{d e}\, e^{2}}-\frac{i \pi  b d x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e \,x^{2}+d \right) e^{2}}+\frac{3 i \pi  b d \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \sqrt{d e}\, 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)}{2 e^{2}}+\frac{3 b d n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{2 \sqrt{d e}\, e^{2}}-\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 e^{2}}"," ",0,"1/2*b*ln(c)/e^2*d*x/(e*x^2+d)-3/2*b*ln(c)/e^2*d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-3/4*b*n/e^2*d/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/4*b*n/e^2*d/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n/e^2*d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/2*b/e^2*d*x/(e*x^2+d)*ln(x^n)-3/2*b/e^2*d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)-1/2*I*b*Pi*csgn(I*c*x^n)^3/e^2*x+1/4*b*n*d^2/e^2*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/4*b*n*d^2/e^2*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-3/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^2*d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+b*ln(x^n)/e^2*x-3/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^2*d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/4*I*b*Pi*csgn(I*c*x^n)^3/e^2*d*x/(e*x^2+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^2*d*x/(e*x^2+d)-1/4*b*n*d/e*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2+1/4*b*n*d/e*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2+b/e^2*x*ln(c)+3/4*I*b*Pi*csgn(I*c*x^n)^3/e^2*d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+3/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^2*d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^2*d*x/(e*x^2+d)+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^2*d*x/(e*x^2+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^2*x-b*n/e^2*d/(-d*e)^(1/2)*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+b*n/e^2*d/(-d*e)^(1/2)*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-b/e^2*n*x+a/e^2*x+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^2*x+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^2*x+1/2*a/e^2*d*x/(e*x^2+d)-3/2*a/e^2*d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+3/2*b/e^2*d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)","C"
227,1,752,118,0.336000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x^2+d)^2,x)","-\frac{b n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}}+\frac{b n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}}-\frac{b d n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, e}+\frac{b d n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, 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)}{4 \left(e \,x^{2}+d \right) e}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) e}-\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) e}+\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e \,x^{2}+d \right) e}-\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \sqrt{d e}\, e}+\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \sqrt{d e}\, e}+\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \sqrt{d e}\, e}-\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \sqrt{d e}\, e}-\frac{b n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{2 \sqrt{d e}\, e}+\frac{b n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, e}-\frac{b n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, e}+\frac{b n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \sqrt{-d e}\, e}-\frac{b n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \sqrt{-d e}\, e}+\frac{b n \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{2 \sqrt{d e}\, e}-\frac{b x \ln \left(c \right)}{2 \left(e \,x^{2}+d \right) e}-\frac{b x \ln \left(x^{n}\right)}{2 \left(e \,x^{2}+d \right) e}+\frac{b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{2 \sqrt{d e}\, e}+\frac{b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{2 \sqrt{d e}\, e}-\frac{a x}{2 \left(e \,x^{2}+d \right) e}+\frac{a \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{2 \sqrt{d e}\, e}"," ",0,"-1/2*b/e*x/(e*x^2+d)*ln(x^n)-1/2*b/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)+1/2*b/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)+1/2*b*n/e/(-d*e)^(1/2)*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n/e/(-d*e)^(1/2)*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*b*n/e/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/4*b*n/e/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/4*b*n*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2+1/4*b*n*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2-1/4*b*n*d/e*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*b*n*d/e*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e*x/(e*x^2+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/4*I*b*Pi*csgn(I*c*x^n)^3/e*x/(e*x^2+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e*x/(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^3/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e*x/(e*x^2+d)-1/2*b*ln(c)/e*x/(e*x^2+d)+1/2*b*ln(c)/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/2*a/e*x/(e*x^2+d)+1/2*a/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)","C"
228,1,685,118,0.337000," ","int((b*ln(c*x^n)+a)/(e*x^2+d)^2,x)","\frac{b e n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d}-\frac{b e n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d}-\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 \left(e \,x^{2}+d \right) d}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) d}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) d}-\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e \,x^{2}+d \right) d}-\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \sqrt{d e}\, d}+\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \sqrt{d e}\, d}+\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \sqrt{d e}\, d}-\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \sqrt{d e}\, d}+\frac{b n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}}-\frac{b n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}}-\frac{b n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{2 \sqrt{d e}\, d}+\frac{b n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \sqrt{-d e}\, d}-\frac{b n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \sqrt{-d e}\, d}-\frac{b n \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{2 \sqrt{d e}\, d}+\frac{b x \ln \left(c \right)}{2 \left(e \,x^{2}+d \right) d}+\frac{b x \ln \left(x^{n}\right)}{2 \left(e \,x^{2}+d \right) d}+\frac{b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{2 \sqrt{d e}\, d}+\frac{b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{2 \sqrt{d e}\, d}+\frac{a x}{2 \left(e \,x^{2}+d \right) d}+\frac{a \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{2 \sqrt{d e}\, d}"," ",0,"1/2*b*x/d/(e*x^2+d)*ln(x^n)-1/2*b/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)+1/2*b/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)-1/2*b*n/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/4*b*n*ln(x)/d/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2*e-1/4*b*n*ln(x)/d/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2*e+1/4*b*n*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/4*b*n*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*b*n/d/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/4*b*n/d/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*x/d/(e*x^2+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/4*I*b*Pi*csgn(I*c*x^n)^3*x/d/(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^3/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*x/d/(e*x^2+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x/d/(e*x^2+d)+1/2*b*ln(c)*x/d/(e*x^2+d)+1/2*b*ln(c)/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/2*a*x/d/(e*x^2+d)+1/2*a/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)","C"
229,1,933,142,0.369000," ","int((b*ln(c*x^n)+a)/x^2/(e*x^2+d)^2,x)","\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)}{4 \left(e \,x^{2}+d \right) d^{2}}-\frac{b e n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d}+\frac{b e n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d}-\frac{3 b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{2 \sqrt{d e}\, d^{2}}-\frac{b e x \ln \left(x^{n}\right)}{2 \left(e \,x^{2}+d \right) d^{2}}+\frac{b e n \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{2 \sqrt{d e}\, d^{2}}-\frac{b e x \ln \left(c \right)}{2 \left(e \,x^{2}+d \right) d^{2}}-\frac{3 b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{2 \sqrt{d e}\, d^{2}}-\frac{b \ln \left(x^{n}\right)}{d^{2} x}-\frac{b \ln \left(c \right)}{d^{2} x}+\frac{3 i \pi  b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \sqrt{d e}\, d^{2}}-\frac{a}{d^{2} x}-\frac{b \,e^{2} n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{2}}+\frac{b \,e^{2} n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{2}}-\frac{a e x}{2 \left(e \,x^{2}+d \right) d^{2}}-\frac{3 a e \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{2 \sqrt{d e}\, d^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{2} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{2} x}-\frac{b n}{d^{2} x}+\frac{i \pi  b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e \,x^{2}+d \right) d^{2}}+\frac{3 i \pi  b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \sqrt{d e}\, d^{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)}{2 d^{2} x}-\frac{3 b e n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \sqrt{-d e}\, d^{2}}+\frac{3 b e n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \sqrt{-d e}\, d^{2}}-\frac{i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) d^{2}}-\frac{i \pi  b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) d^{2}}-\frac{3 i \pi  b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \sqrt{d e}\, d^{2}}-\frac{3 i \pi  b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \sqrt{d e}\, d^{2}}+\frac{3 b e n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{2 \sqrt{d e}\, d^{2}}-\frac{b e n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d^{2}}+\frac{b e n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{2} x}"," ",0,"-1/4*b*n*e/d*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*b*n*e/d*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*I*b*Pi*csgn(I*c*x^n)^3/d^2/x-3/2*b*e/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)-1/2*b*e/d^2*x/(e*x^2+d)*ln(x^n)-3/4*b*n*e/d^2/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/4*b*n*e/d^2/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n*e/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/2*b*ln(c)*e/d^2*x/(e*x^2+d)-3/2*b*ln(c)*e/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2*x/(e*x^2+d)-b*ln(x^n)/d^2/x-b/d^2/x*ln(c)-a/d^2/x-3/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2*x/(e*x^2+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2*x/(e*x^2+d)+3/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-3/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2/x-1/4*b*n*e^2/d^2*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2+1/4*b*n*e^2/d^2*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2+3/4*I*b*Pi*csgn(I*c*x^n)^3*e/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/2*a*e/d^2*x/(e*x^2+d)-3/2*a*e/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-b/d^2*n/x+1/4*I*b*Pi*csgn(I*c*x^n)^3*e/d^2*x/(e*x^2+d)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2/x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2/x+3/2*b*e/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)-1/2*b*n*e/d^2/(-d*e)^(1/2)*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n*e/d^2/(-d*e)^(1/2)*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))","C"
230,1,1133,179,0.342000," ","int((b*ln(c*x^n)+a)/x^4/(e*x^2+d)^2,x)","\frac{2 b e \ln \left(c \right)}{d^{3} x}+\frac{5 b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{2 \sqrt{d e}\, d^{3}}+\frac{b \,e^{2} x \ln \left(c \right)}{2 \left(e \,x^{2}+d \right) d^{3}}-\frac{b \,e^{2} n \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{2 \sqrt{d e}\, d^{3}}-\frac{b \,e^{3} n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{3}}+\frac{b \,e^{3} n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{3}}-\frac{5 i \pi  b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \sqrt{d e}\, d^{3}}+\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{d^{3} x}+\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{d^{3} 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)}{6 d^{2} x^{3}}+\frac{b \,e^{2} n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{2}}-\frac{b \,e^{2} n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{2}}-\frac{b \ln \left(c \right)}{3 d^{2} x^{3}}-\frac{b \ln \left(x^{n}\right)}{3 d^{2} x^{3}}-\frac{i \pi  b \,e^{2} x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e \,x^{2}+d \right) d^{3}}-\frac{a}{3 d^{2} x^{3}}+\frac{2 a e}{d^{3} x}+\frac{b \,e^{2} x \ln \left(x^{n}\right)}{2 \left(e \,x^{2}+d \right) d^{3}}+\frac{5 b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{2 \sqrt{d e}\, d^{3}}+\frac{i \pi  b \,e^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) d^{3}}+\frac{i \pi  b \,e^{2} x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) d^{3}}+\frac{5 i \pi  b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \sqrt{d e}\, d^{3}}+\frac{5 i \pi  b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \sqrt{d e}\, d^{3}}-\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{d^{3} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 d^{2} x^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 d^{2} x^{3}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 d^{2} x^{3}}+\frac{5 b \,e^{2} n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \sqrt{-d e}\, d^{3}}-\frac{5 b \,e^{2} n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \sqrt{-d e}\, d^{3}}+\frac{2 b e \ln \left(x^{n}\right)}{d^{3} x}+\frac{a \,e^{2} x}{2 \left(e \,x^{2}+d \right) d^{3}}+\frac{5 a \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{2 \sqrt{d e}\, d^{3}}-\frac{5 b \,e^{2} n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{2 \sqrt{d e}\, d^{3}}+\frac{b \,e^{2} n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{\sqrt{-d e}\, d^{3}}-\frac{b \,e^{2} n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{\sqrt{-d e}\, d^{3}}-\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)}{d^{3} x}-\frac{i \pi  b \,e^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \left(e \,x^{2}+d \right) d^{3}}-\frac{5 i \pi  b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \sqrt{d e}\, d^{3}}-\frac{b n}{9 d^{2} x^{3}}+\frac{2 b e n}{d^{3} x}"," ",0,"-5/4*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+2*b/d^3*e/x*ln(c)+5/2*b*ln(c)*e^2/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/2*b*ln(c)*e^2/d^3*x/(e*x^2+d)+5/4*b*n*e^2/d^3/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-5/4*b*n*e^2/d^3/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n*e^2/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/4*b*n*e^3/d^3*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3*x/(e*x^2+d)+1/4*b*n*e^3/d^3*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2+1/4*b*n*e^2/d^2*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/4*b*n*e^2/d^2*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/3*b*ln(c)/d^2/x^3-1/3*b/d^2/x^3*ln(x^n)+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2/x^3-1/3*a/d^2/x^3+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3*x/(e*x^2+d)+5/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*e/x+2*a/d^3*e/x+1/2*b*e^2/d^3*x/(e*x^2+d)*ln(x^n)+I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*e/x+I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*e/x-I*b*Pi*csgn(I*c*x^n)^3/d^3*e/x-5/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3*x/(e*x^2+d)+5/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+5/2*b*e^2/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)+1/6*I*b*Pi*csgn(I*c*x^n)^3/d^2/x^3-1/4*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3*x/(e*x^2+d)-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2/x^3+2*b*ln(x^n)/d^3*e/x+1/2*a*e^2/d^3*x/(e*x^2+d)+5/2*a*e^2/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-5/2*b*e^2/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)+b*n*e^2/d^3/(-d*e)^(1/2)*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-b*n*e^2/d^3/(-d*e)^(1/2)*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2/x^3-1/9*b*n/d^2/x^3+2*b/d^3*e*n/x","C"
231,1,727,140,0.207000," ","int(x^5*(b*ln(c*x^n)+a)/(e*x^2+d)^3,x)","\frac{b n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{3}}+\frac{b n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{3}}-\frac{a \,d^{2}}{4 \left(e \,x^{2}+d \right)^{2} e^{3}}+\frac{a d}{\left(e \,x^{2}+d \right) e^{3}}+\frac{b \ln \left(c \right) \ln \left(e \,x^{2}+d \right)}{2 e^{3}}+\frac{a \ln \left(e \,x^{2}+d \right)}{2 e^{3}}+\frac{b \ln \left(x^{n}\right) \ln \left(e \,x^{2}+d \right)}{2 e^{3}}+\frac{i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e \,x^{2}+d \right) e^{3}}+\frac{i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e \,x^{2}+d \right) 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^{2}+d \right)}{4 e^{3}}-\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e \,x^{2}+d \right)^{2} e^{3}}-\frac{b n \ln \left(x \right) \ln \left(e \,x^{2}+d \right)}{2 e^{3}}+\frac{b n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{3}}+\frac{b n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 e^{3}}-\frac{3 b n \ln \left(x \right)}{4 e^{3}}+\frac{3 b n \ln \left(e \,x^{2}+d \right)}{8 e^{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^{2}+d \right)}{4 e^{3}}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 \left(e \,x^{2}+d \right)^{2} e^{3}}-\frac{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e \,x^{2}+d \right) e^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{4 e^{3}}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{8 \left(e \,x^{2}+d \right)^{2} e^{3}}+\frac{b d \ln \left(x^{n}\right)}{\left(e \,x^{2}+d \right) e^{3}}-\frac{b \,d^{2} \ln \left(x^{n}\right)}{4 \left(e \,x^{2}+d \right)^{2} e^{3}}-\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)}{2 \left(e \,x^{2}+d \right) e^{3}}-\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e \,x^{2}+d \right)^{2} e^{3}}-\frac{b \,d^{2} \ln \left(c \right)}{4 \left(e \,x^{2}+d \right)^{2} e^{3}}+\frac{b d \ln \left(c \right)}{\left(e \,x^{2}+d \right) e^{3}}+\frac{b d n}{8 \left(e \,x^{2}+d \right) e^{3}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{2}+d \right)}{4 e^{3}}"," ",0,"1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d/e^3/(e*x^2+d)-1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^2/e^3/(e*x^2+d)^2-1/4*I*b*Pi*csgn(I*c*x^n)^3/e^3*ln(e*x^2+d)+1/2*b*n/e^3*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n/e^3*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/4*a*d^2/e^3/(e*x^2+d)^2+a*d/e^3/(e*x^2+d)+1/2*b*ln(c)/e^3*ln(e*x^2+d)+1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^2/e^3/(e*x^2+d)^2+1/2*a/e^3*ln(e*x^2+d)+1/2*b*ln(x^n)/e^3*ln(e*x^2+d)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d/e^3/(e*x^2+d)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^3*ln(e*x^2+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d/e^3/(e*x^2+d)-1/8*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^2/e^3/(e*x^2+d)^2-1/2*b*n/e^3*ln(x)*ln(e*x^2+d)+1/2*b*n/e^3*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n/e^3*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-3/4*b*n*ln(x)/e^3+3/8*b*n*ln(e*x^2+d)/e^3+b*ln(x^n)*d/e^3/(e*x^2+d)-1/4*b*ln(x^n)*d^2/e^3/(e*x^2+d)^2+1/8*I*b*Pi*csgn(I*c*x^n)^3*d^2/e^3/(e*x^2+d)^2-1/2*I*b*Pi*csgn(I*c*x^n)^3*d/e^3/(e*x^2+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^3*ln(e*x^2+d)-1/4*b*ln(c)*d^2/e^3/(e*x^2+d)^2+b*ln(c)*d/e^3/(e*x^2+d)+1/8*b*d*n/e^3/(e*x^2+d)+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^3*ln(e*x^2+d)","C"
232,1,369,62,0.244000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x^2+d)^3,x)","-\frac{\left(2 e \,x^{2}+d \right) b \ln \left(x^{n}\right)}{4 \left(e \,x^{2}+d \right)^{2} e^{2}}-\frac{-2 b \,e^{2} n \,x^{4} \ln \left(x \right)+b \,e^{2} n \,x^{4} \ln \left(e \,x^{2}+d \right)-2 i \pi  b d e \,x^{2} \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 d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 b d e n \,x^{2} \ln \left(x \right)+2 b d e n \,x^{2} \ln \left(e \,x^{2}+d \right)-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+b d e n \,x^{2}+4 b d e \,x^{2} \ln \left(c \right)+4 a d e \,x^{2}-2 b \,d^{2} n \ln \left(x \right)+b \,d^{2} n \ln \left(e \,x^{2}+d \right)+b \,d^{2} n +2 b \,d^{2} \ln \left(c \right)+2 a \,d^{2}}{8 \left(e \,x^{2}+d \right)^{2} d \,e^{2}}"," ",0,"-1/4*b*(2*e*x^2+d)/(e*x^2+d)^2/e^2*ln(x^n)-1/8*(-2*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^3-2*ln(x)*b*e^2*n*x^4+ln(e*x^2+d)*b*e^2*n*x^4+2*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d^2*csgn(I*c*x^n)^3-4*ln(x)*b*d*e*n*x^2+2*ln(e*x^2+d)*b*d*e*n*x^2+4*b*d*e*x^2*ln(c)+b*d*e*n*x^2-2*ln(x)*b*d^2*n+ln(e*x^2+d)*b*d^2*n+4*a*d*e*x^2+2*b*d^2*ln(c)+b*d^2*n+2*a*d^2)/e^2/d/(e*x^2+d)^2","C"
233,1,243,77,0.207000," ","int(x*(b*ln(c*x^n)+a)/(e*x^2+d)^3,x)","-\frac{b \ln \left(x^{n}\right)}{4 \left(e \,x^{2}+d \right)^{2} e}-\frac{-2 b \,e^{2} n \,x^{4} \ln \left(x \right)+b \,e^{2} n \,x^{4} \ln \left(e \,x^{2}+d \right)-4 b d e n \,x^{2} \ln \left(x \right)+2 b d e n \,x^{2} \ln \left(e \,x^{2}+d \right)-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-b d e n \,x^{2}-2 b \,d^{2} n \ln \left(x \right)+b \,d^{2} n \ln \left(e \,x^{2}+d \right)-b \,d^{2} n +2 b \,d^{2} \ln \left(c \right)+2 a \,d^{2}}{8 \left(e \,x^{2}+d \right)^{2} d^{2} e}"," ",0,"-1/4*b/e/(e*x^2+d)^2*ln(x^n)-1/8*(-2*b*e^2*n*x^4*ln(x)+b*e^2*n*x^4*ln(e*x^2+d)+I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*d^2*csgn(I*c*x^n)^3+I*Pi*b*d^2*csgn(I*c)*csgn(I*c*x^n)^2-4*b*d*e*n*x^2*ln(x)+2*b*d*e*n*x^2*ln(e*x^2+d)-b*d*e*n*x^2-2*b*d^2*n*ln(x)+b*d^2*n*ln(e*x^2+d)+2*b*d^2*ln(c)-b*d^2*n+2*a*d^2)/e/d^2/(e*x^2+d)^2","C"
234,1,841,107,0.213000," ","int((b*ln(c*x^n)+a)/x/(e*x^2+d)^3,x)","-\frac{b n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{3}}-\frac{b n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{3}}+\frac{b \ln \left(x \right) \ln \left(x^{n}\right)}{d^{3}}+\frac{b \ln \left(x^{n}\right)}{4 \left(e \,x^{2}+d \right)^{2} d}+\frac{b \ln \left(x^{n}\right)}{2 \left(e \,x^{2}+d \right) d^{2}}-\frac{b \ln \left(x^{n}\right) \ln \left(e \,x^{2}+d \right)}{2 d^{3}}+\frac{a}{4 \left(e \,x^{2}+d \right)^{2} d}+\frac{a}{2 \left(e \,x^{2}+d \right) d^{2}}-\frac{a \ln \left(e \,x^{2}+d \right)}{2 d^{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(x \right)}{2 d^{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^{2}+d \right)}{4 d^{3}}+\frac{b \ln \left(c \right)}{2 \left(e \,x^{2}+d \right) d^{2}}-\frac{b \ln \left(c \right) \ln \left(e \,x^{2}+d \right)}{2 d^{3}}+\frac{b \ln \left(c \right)}{4 \left(e \,x^{2}+d \right)^{2} d}+\frac{a \ln \left(x \right)}{d^{3}}+\frac{b \ln \left(c \right) \ln \left(x \right)}{d^{3}}-\frac{b n \ln \left(x \right)^{2}}{2 d^{3}}-\frac{b n}{8 \left(e \,x^{2}+d \right) d^{2}}+\frac{3 b n \ln \left(e \,x^{2}+d \right)}{8 d^{3}}+\frac{b n \ln \left(x \right) \ln \left(e \,x^{2}+d \right)}{2 d^{3}}-\frac{b n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{3}}-\frac{b n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e \,x^{2}+d \right)^{2} d}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) d^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{2}+d \right) d^{2}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{4 d^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{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^{2}+d \right)}{4 d^{3}}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e \,x^{2}+d \right)^{2} d}-\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 \left(e \,x^{2}+d \right) d^{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)}{8 \left(e \,x^{2}+d \right)^{2} d}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 \left(e \,x^{2}+d \right)^{2} d}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e \,x^{2}+d \right) d^{2}}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{3}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{2}+d \right)}{4 d^{3}}-\frac{3 b n \ln \left(x \right)}{4 d^{3}}"," ",0,"-1/4*I*b*Pi*csgn(I*c*x^n)^3/d^2/(e*x^2+d)+1/4*I*b*Pi*csgn(I*c*x^n)^3/d^3*ln(e*x^2+d)-1/2*I*b*Pi*csgn(I*c*x^n)^3/d^3*ln(x)+b*ln(x^n)/d^3*ln(x)+1/4*b*ln(x^n)/d/(e*x^2+d)^2+1/2*b*ln(x^n)/d^2/(e*x^2+d)-1/2*b*ln(x^n)/d^3*ln(e*x^2+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2/(e*x^2+d)+1/4*a/d/(e*x^2+d)^2+1/2*a/d^2/(e*x^2+d)-1/2*a/d^3*ln(e*x^2+d)-1/8*I*b*Pi*csgn(I*c*x^n)^3/d/(e*x^2+d)^2+1/2*b*ln(c)/d^2/(e*x^2+d)-1/2*b*ln(c)/d^3*ln(e*x^2+d)+1/4*b*ln(c)/d/(e*x^2+d)^2+a/d^3*ln(x)+b/d^3*ln(c)*ln(x)-1/2*b/d^3*n*ln(x)^2-1/2*b*n/d^3*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n/d^3*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/8*b*n/d^2/(e*x^2+d)+3/8*b*n/d^3*ln(e*x^2+d)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*ln(x)-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2/(e*x^2+d)+1/8*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/(e*x^2+d)^2+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*ln(e*x^2+d)+1/2*b*n/d^3*ln(x)*ln(e*x^2+d)-1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/(e*x^2+d)^2+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2/(e*x^2+d)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*ln(e*x^2+d)+1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/(e*x^2+d)^2-1/2*b*n/d^3*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n/d^3*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*ln(e*x^2+d)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*ln(x)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*ln(x)-3/4*b/d^3*n*ln(x)","C"
235,1,1030,150,0.218000," ","int((b*ln(c*x^n)+a)/x^3/(e*x^2+d)^3,x)","\frac{3 b e n \ln \left(x \right)^{2}}{2 d^{4}}-\frac{3 b e \ln \left(c \right) \ln \left(x \right)}{d^{4}}-\frac{b \ln \left(x^{n}\right)}{2 d^{3} x^{2}}+\frac{3 a e \ln \left(e \,x^{2}+d \right)}{2 d^{4}}-\frac{a e}{4 \left(e \,x^{2}+d \right)^{2} d^{2}}-\frac{a e}{\left(e \,x^{2}+d \right) d^{3}}-\frac{b \ln \left(c \right)}{2 d^{3} x^{2}}+\frac{3 b e n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{4}}+\frac{3 b e n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{4}}-\frac{3 b e n \ln \left(x \right) \ln \left(e \,x^{2}+d \right)}{2 d^{4}}-\frac{3 a e \ln \left(x \right)}{d^{4}}-\frac{a}{2 d^{3} x^{2}}-\frac{b n}{4 d^{3} x^{2}}+\frac{b e n}{8 \left(e \,x^{2}+d \right) d^{3}}-\frac{5 b e n \ln \left(e \,x^{2}+d \right)}{8 d^{4}}-\frac{b e \ln \left(x^{n}\right)}{\left(e \,x^{2}+d \right) d^{3}}-\frac{3 b e \ln \left(x \right) \ln \left(x^{n}\right)}{d^{4}}+\frac{3 b e n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{4}}+\frac{3 b e n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 d^{4}}+\frac{3 b e \ln \left(x^{n}\right) \ln \left(e \,x^{2}+d \right)}{2 d^{4}}-\frac{b e \ln \left(x^{n}\right)}{4 \left(e \,x^{2}+d \right)^{2} d^{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)}{8 \left(e \,x^{2}+d \right)^{2} d^{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)}{2 \left(e \,x^{2}+d \right) d^{3}}+\frac{3 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 d^{4}}-\frac{3 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^{2}+d \right)}{4 d^{4}}-\frac{b e \ln \left(c \right)}{4 \left(e \,x^{2}+d \right)^{2} d^{2}}-\frac{b e \ln \left(c \right)}{\left(e \,x^{2}+d \right) d^{3}}+\frac{3 b e \ln \left(c \right) \ln \left(e \,x^{2}+d \right)}{2 d^{4}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d^{3} x^{2}}+\frac{5 b e n \ln \left(x \right)}{4 d^{4}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e \,x^{2}+d \right) d^{3}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e \,x^{2}+d \right) d^{3}}-\frac{3 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 d^{4}}+\frac{3 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{4 d^{4}}-\frac{3 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 d^{4}}+\frac{3 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{2}+d \right)}{4 d^{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)}{4 d^{3} x^{2}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e \,x^{2}+d \right)^{2} d^{2}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e \,x^{2}+d \right)^{2} d^{2}}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 \left(e \,x^{2}+d \right)^{2} d^{2}}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e \,x^{2}+d \right) d^{3}}+\frac{3 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 d^{4}}-\frac{3 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{2}+d \right)}{4 d^{4}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{3} x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{3} x^{2}}"," ",0,"-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^3/(e*x^2+d)+3/2*b/d^4*e*n*ln(x)^2-3*b/d^4*e*ln(c)*ln(x)+1/4*I*b*Pi*csgn(I*c*x^n)^3/d^3/x^2-3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*e*ln(x)-1/2*b*ln(x^n)/d^3/x^2+3/2*a*e/d^4*ln(e*x^2+d)-1/4*a*e/d^2/(e*x^2+d)^2-a*e/d^3/(e*x^2+d)+1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2/(e*x^2+d)^2-1/2*b/d^3/x^2*ln(c)+3/2*b*n/d^4*e*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/2*b*n/d^4*e*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*e*ln(x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^3/(e*x^2+d)-3/2*b*n/d^4*e*ln(x)*ln(e*x^2+d)-3*a/d^4*e*ln(x)-3/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*e*ln(x)-1/2*a/d^3/x^2-3/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*e*ln(e*x^2+d)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3/x^2-3/4*I*b*Pi*csgn(I*c*x^n)^3/d^4*e*ln(e*x^2+d)+3/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*e*ln(e*x^2+d)+3/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*e*ln(e*x^2+d)+1/8*I*b*Pi*csgn(I*c*x^n)^3*e/d^2/(e*x^2+d)^2-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3/x^2+3/2*I*b*Pi*csgn(I*c*x^n)^3/d^4*e*ln(x)-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3/x^2-1/4*b/d^3*n/x^2-1/8*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2/(e*x^2+d)^2+3/2*b*n/d^4*e*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/2*b*n/d^4*e*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/8*b*n*e/d^3/(e*x^2+d)-5/8*b*n/d^4*e*ln(e*x^2+d)-b*ln(x^n)*e/d^3/(e*x^2+d)-3*b*ln(x^n)/d^4*e*ln(x)+3/2*b*ln(x^n)*e/d^4*ln(e*x^2+d)-1/4*b*ln(x^n)*e/d^2/(e*x^2+d)^2-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^3/(e*x^2+d)-1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2/(e*x^2+d)^2-1/4*b*ln(c)*e/d^2/(e*x^2+d)^2-b*ln(c)*e/d^3/(e*x^2+d)+3/2*b*ln(c)/d^4*e*ln(e*x^2+d)+1/2*I*b*Pi*csgn(I*c*x^n)^3*e/d^3/(e*x^2+d)+5/4*b/d^4*e*n*ln(x)","C"
236,1,1311,161,0.359000," ","int(x^4*(b*ln(c*x^n)+a)/(e*x^2+d)^3,x)","-\frac{3 b d x \ln \left(c \right)}{8 \left(e \,x^{2}+d \right)^{2} e^{2}}-\frac{3 b n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{8 \sqrt{d e}\, e^{2}}+\frac{b n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, e^{2}}-\frac{b n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, e^{2}}-\frac{b n x \ln \left(x \right)}{\left(e \,x^{2}+d \right) e^{2}}+\frac{b n \,x^{3} \ln \left(x \right)}{\left(e \,x^{2}+d \right)^{2} e}-\frac{5 a \,x^{3}}{8 \left(e \,x^{2}+d \right)^{2} e}+\frac{3 a \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{8 \sqrt{d e}\, e^{2}}+\frac{3 b n \,x^{4} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}}-\frac{3 b n \,x^{4} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}}+\frac{b d n x \ln \left(x \right)}{\left(e \,x^{2}+d \right)^{2} e^{2}}+\frac{3 b d n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{8 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, e}-\frac{3 b d n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{8 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, e}+\frac{3 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)}{16 \left(e \,x^{2}+d \right)^{2} e^{2}}-\frac{3 b d x \ln \left(x^{n}\right)}{8 \left(e \,x^{2}+d \right)^{2} e^{2}}+\frac{5 i \pi  b \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \left(e \,x^{2}+d \right)^{2} e}-\frac{3 i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \sqrt{d e}\, e^{2}}+\frac{b d n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \left(e \,x^{2}+d \right) \sqrt{-d e}\, e^{2}}+\frac{3 b \,d^{2} n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, e^{2}}-\frac{3 b \,d^{2} n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, e^{2}}-\frac{b n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \left(e \,x^{2}+d \right) \sqrt{-d e}\, e}+\frac{b n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \left(e \,x^{2}+d \right) \sqrt{-d e}\, e}-\frac{b d n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \left(e \,x^{2}+d \right) \sqrt{-d e}\, e^{2}}+\frac{3 b n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \sqrt{-d e}\, e^{2}}-\frac{3 b n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \sqrt{-d e}\, e^{2}}-\frac{5 b \,x^{3} \ln \left(x^{n}\right)}{8 \left(e \,x^{2}+d \right)^{2} e}+\frac{3 b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{8 \sqrt{d e}\, e^{2}}-\frac{3 a d x}{8 \left(e \,x^{2}+d \right)^{2} e^{2}}+\frac{3 b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{8 \sqrt{d e}\, e^{2}}-\frac{5 b \,x^{3} \ln \left(c \right)}{8 \left(e \,x^{2}+d \right)^{2} e}+\frac{b n \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{2 \sqrt{d e}\, e^{2}}-\frac{5 i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} e}-\frac{5 i \pi  b \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} e}+\frac{3 i \pi  b d x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \left(e \,x^{2}+d \right)^{2} e^{2}}+\frac{3 i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \sqrt{d e}\, e^{2}}+\frac{3 i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \sqrt{d e}\, e^{2}}+\frac{5 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)}{16 \left(e \,x^{2}+d \right)^{2} e}-\frac{3 i \pi  b d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} e^{2}}-\frac{3 i \pi  b d x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} e^{2}}-\frac{3 i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16 \sqrt{d e}\, e^{2}}-\frac{b n x}{8 \left(e \,x^{2}+d \right) e^{2}}"," ",0,"3/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/(e*x^2+d)^2*d/e^2*x-3/8*b*ln(c)/(e*x^2+d)^2*d/e^2*x-3/8*b/e^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)+1/2*b*n/e^2/(-d*e)^(1/2)*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n/e^2/(-d*e)^(1/2)*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-b*n/e^2*ln(x)*x/(e*x^2+d)+b*n/e*ln(x)/(e*x^2+d)^2*x^3-5/8*a/(e*x^2+d)^2/e*x^3+3/8*a/e^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+3/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-5/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/(e*x^2+d)^2/e*x^3+3/16*b*n*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^4-3/16*b*n*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^4+b*n*d/e^2*ln(x)/(e*x^2+d)^2*x+3/8*b*n*d/e*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2-3/8*b*n*d/e*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2-3/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+5/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/(e*x^2+d)^2/e*x^3-3/8*b/(e*x^2+d)^2*d/e^2*x*ln(x^n)-5/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/(e*x^2+d)^2/e*x^3-3/16*I*b*Pi*csgn(I*c*x^n)^3/e^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-3/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/(e*x^2+d)^2*d/e^2*x+5/16*I*b*Pi*csgn(I*c*x^n)^3/(e*x^2+d)^2/e*x^3-3/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/(e*x^2+d)^2*d/e^2*x+1/2*b*n*d/e^2*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/16*b*n*d^2/e^2*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-3/16*b*n*d^2/e^2*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*b*n/e*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2+1/2*b*n/e*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2-1/2*b*n*d/e^2*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-5/8*b/(e*x^2+d)^2/e*x^3*ln(x^n)+3/8*b/e^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)-3/8*a/(e*x^2+d)^2*d/e^2*x+3/8*b*ln(c)/e^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-5/8*b*ln(c)/(e*x^2+d)^2/e*x^3+1/2*b*n/e^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+3/16*b*n/e^2/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-3/16*b*n/e^2/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/16*I*b*Pi*csgn(I*c*x^n)^3/(e*x^2+d)^2*d/e^2*x-1/8*b*n*x/e^2/(e*x^2+d)","C"
237,1,1247,147,0.358000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x^2+d)^3,x)","-\frac{b n \,x^{3} \ln \left(x \right)}{2 \left(e \,x^{2}+d \right)^{2} d}-\frac{b n x \ln \left(x \right)}{2 \left(e \,x^{2}+d \right)^{2} e}+\frac{a \,x^{3}}{8 \left(e \,x^{2}+d \right)^{2} d}-\frac{a x}{8 \left(e \,x^{2}+d \right)^{2} e}-\frac{3 b d n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, e}+\frac{3 b d n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, e}+\frac{b n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d}-\frac{b n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d}-\frac{3 b e n \,x^{4} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d}+\frac{3 b e n \,x^{4} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d}-\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16 \sqrt{d e}\, d e}+\frac{b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{8 \sqrt{d e}\, d e}+\frac{b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{8 \sqrt{d e}\, d e}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \left(e \,x^{2}+d \right)^{2} d}+\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \left(e \,x^{2}+d \right)^{2} e}+\frac{b n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \sqrt{-d e}\, d e}-\frac{b n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \sqrt{-d e}\, d e}+\frac{a \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{8 \sqrt{d e}\, d e}-\frac{b x \ln \left(c \right)}{8 \left(e \,x^{2}+d \right)^{2} e}+\frac{b \,x^{3} \ln \left(c \right)}{8 \left(e \,x^{2}+d \right)^{2} d}-\frac{b x \ln \left(x^{n}\right)}{8 \left(e \,x^{2}+d \right)^{2} e}+\frac{b \,x^{3} \ln \left(x^{n}\right)}{8 \left(e \,x^{2}+d \right)^{2} d}-\frac{b n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{8 \sqrt{d e}\, d e}-\frac{3 b n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{8 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}}+\frac{3 b n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{8 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}}+\frac{b n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, e}-\frac{b n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, e}+\frac{b n x \ln \left(x \right)}{2 \left(e \,x^{2}+d \right) d e}-\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} e}-\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} e}-\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \sqrt{d e}\, d e}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} d}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} d}-\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)}{16 \left(e \,x^{2}+d \right)^{2} d}+\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)}{16 \left(e \,x^{2}+d \right)^{2} e}+\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \sqrt{d e}\, d e}+\frac{i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \sqrt{d e}\, d e}+\frac{b n x}{8 \left(e \,x^{2}+d \right) d e}"," ",0,"1/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/(e*x^2+d)^2/d*x^3-1/2*b*n/d*ln(x)/(e*x^2+d)^2*x^3-1/2*b*n/e*ln(x)/(e*x^2+d)^2*x+1/16*b*n/d/e/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/16*b*n/d/e/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/8*a/(e*x^2+d)^2/d*x^3-1/8*a/(e*x^2+d)^2/e*x-3/16*b*n*d/e*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/16*b*n*d/e*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*b*n*ln(x)/d/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2-1/4*b*n*ln(x)/d/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2+1/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/(e*x^2+d)^2/d*x^3-3/16*b*n/d*e*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^4+3/16*b*n/d*e*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^4+1/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/(e*x^2+d)^2/d*x^3+1/8*b*ln(c)/e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/16*I*b*Pi*csgn(I*c*x^n)^3/e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/8*b/e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)-1/16*I*b*Pi*csgn(I*c*x^n)^3/(e*x^2+d)^2/d*x^3+1/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/(e*x^2+d)^2/e*x+1/16*I*b*Pi*csgn(I*c*x^n)^3/(e*x^2+d)^2/e*x+1/8*a/e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/8*b*ln(c)/(e*x^2+d)^2/e*x+1/8*b*ln(c)/(e*x^2+d)^2/d*x^3-1/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/(e*x^2+d)^2/e*x-1/8*b/(e*x^2+d)^2/e*x*ln(x^n)+1/8*b/(e*x^2+d)^2/d*x^3*ln(x^n)-1/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/(e*x^2+d)^2/e*x-1/8*b/e/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)-3/8*b*n*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2+3/8*b*n*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2+1/4*b*n/e*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/4*b*n/e*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n/e*ln(x)*x/d/(e*x^2+d)+1/8*b*n*x/d/e/(e*x^2+d)","C"
238,1,1047,160,0.336000," ","int((b*ln(c*x^n)+a)/(e*x^2+d)^3,x)","-\frac{3 b \,e^{2} n \,x^{4} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d^{2}}+\frac{3 b e n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{8 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d}-\frac{3 b e n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{8 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d}-\frac{3 b n x \ln \left(x \right)}{8 \left(e \,x^{2}+d \right) d^{2}}+\frac{3 b n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}}-\frac{3 b n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}}+\frac{3 b \,e^{2} n \,x^{4} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d^{2}}+\frac{3 b e n \,x^{3} \ln \left(x \right)}{8 \left(e \,x^{2}+d \right)^{2} d^{2}}-\frac{3 b n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{8 \sqrt{d e}\, d^{2}}+\frac{a x}{4 \left(e \,x^{2}+d \right)^{2} d}+\frac{3 a x}{8 \left(e \,x^{2}+d \right) d^{2}}+\frac{3 a \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{8 \sqrt{d e}\, d^{2}}+\frac{3 b n x \ln \left(x \right)}{8 \left(e \,x^{2}+d \right)^{2} d}+\frac{3 i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \sqrt{d e}\, d^{2}}+\frac{3 i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \sqrt{d e}\, d^{2}}+\frac{3 b x \ln \left(c \right)}{8 \left(e \,x^{2}+d \right) d^{2}}+\frac{3 b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{8 \sqrt{d e}\, d^{2}}+\frac{b x \ln \left(c \right)}{4 \left(e \,x^{2}+d \right)^{2} d}-\frac{b n \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{2 \sqrt{d e}\, d^{2}}-\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 \left(e \,x^{2}+d \right)^{2} d}-\frac{3 i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \left(e \,x^{2}+d \right) d^{2}}-\frac{3 i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \sqrt{d e}\, d^{2}}+\frac{3 b n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \sqrt{-d e}\, d^{2}}-\frac{3 b n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \sqrt{-d e}\, d^{2}}+\frac{3 i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right) d^{2}}+\frac{3 i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right) d^{2}}+\frac{3 b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{8 \sqrt{d e}\, d^{2}}+\frac{3 b x \ln \left(x^{n}\right)}{8 \left(e \,x^{2}+d \right) d^{2}}+\frac{b x \ln \left(x^{n}\right)}{4 \left(e \,x^{2}+d \right)^{2} d}-\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 \left(e \,x^{2}+d \right)^{2} d}-\frac{3 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)}{16 \left(e \,x^{2}+d \right) d^{2}}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e \,x^{2}+d \right)^{2} d}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 \left(e \,x^{2}+d \right)^{2} d}-\frac{3 i \pi  b \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16 \sqrt{d e}\, d^{2}}-\frac{b n x}{8 \left(e \,x^{2}+d \right) d^{2}}"," ",0,"3/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-3/16*b*n*ln(x)/d^2/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^4*e^2+3/8*b*n*ln(x)/d/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2*e-3/8*b*n*ln(x)/d/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2*e-3/8*b/d^2*x/(e*x^2+d)*n*ln(x)+3/16*b*n*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-3/16*b*n*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/16*b*n*ln(x)/d^2/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^4*e^2+3/8*b*n*ln(x)/d^2/(e*x^2+d)^2*x^3*e-3/8*b/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)+1/4*a*x/d/(e*x^2+d)^2+3/8*a/d^2*x/(e*x^2+d)+3/8*a/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+3/8*b*n*ln(x)/d/(e*x^2+d)^2*x-3/16*I*b*Pi*csgn(I*c*x^n)^3/d^2*x/(e*x^2+d)+3/8*b*ln(c)/d^2*x/(e*x^2+d)+3/8*b*ln(c)/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/4*b*ln(c)*x/d/(e*x^2+d)^2-1/2*b*n/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+3/16*b*n/d^2/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-3/16*b*n/d^2/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2*x/(e*x^2+d)-3/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2*x/(e*x^2+d)-3/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x/d/(e*x^2+d)^2+1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*x/d/(e*x^2+d)^2+3/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/8*I*b*Pi*csgn(I*c*x^n)^3*x/d/(e*x^2+d)^2+1/8*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*x/d/(e*x^2+d)^2+3/8*b/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)+3/8*b/d^2*x/(e*x^2+d)*ln(x^n)+1/4*b*x/d/(e*x^2+d)^2*ln(x^n)+3/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2*x/(e*x^2+d)-3/16*I*b*Pi*csgn(I*c*x^n)^3/d^2/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/8*b*n*x/d^2/(e*x^2+d)","C"
239,1,1518,177,0.391000," ","int((b*ln(c*x^n)+a)/x^2/(e*x^2+d)^3,x)","-\frac{b \ln \left(x^{n}\right)}{d^{3} x}+\frac{b e n x}{8 \left(e \,x^{2}+d \right) d^{3}}+\frac{3 b \,e^{2} n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{8 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d^{2}}-\frac{a}{d^{3} x}-\frac{b \ln \left(c \right)}{d^{3} x}+\frac{15 i \pi  b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16 \sqrt{d e}\, d^{3}}+\frac{b e n \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e}\, d^{3}}-\frac{3 b \,e^{2} n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{8 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d^{2}}-\frac{3 b \,e^{3} n \,x^{4} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d^{3}}+\frac{3 b \,e^{3} n \,x^{4} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d^{3}}+\frac{b \,e^{2} n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{3}}-\frac{b \,e^{2} n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{3}}-\frac{7 b \,e^{2} x^{3} \ln \left(c \right)}{8 \left(e \,x^{2}+d \right)^{2} d^{3}}-\frac{9 b e x \ln \left(c \right)}{8 \left(e \,x^{2}+d \right)^{2} d^{2}}-\frac{15 b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{8 \sqrt{d e}\, d^{3}}-\frac{3 b e n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d}+\frac{b e n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{2}}+\frac{3 b e n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d}-\frac{9 b e x \ln \left(x^{n}\right)}{8 \left(e \,x^{2}+d \right)^{2} d^{2}}-\frac{b n}{d^{3} x}-\frac{b e n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{4 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{2}}-\frac{7 a \,e^{2} x^{3}}{8 \left(e \,x^{2}+d \right)^{2} d^{3}}-\frac{9 a e x}{8 \left(e \,x^{2}+d \right)^{2} d^{2}}-\frac{15 a e \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{8 \sqrt{d e}\, d^{3}}-\frac{15 b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{8 \sqrt{d e}\, d^{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)}{2 d^{3} x}+\frac{7 i \pi  b \,e^{2} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \left(e \,x^{2}+d \right)^{2} d^{3}}+\frac{9 i \pi  b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \left(e \,x^{2}+d \right)^{2} d^{2}}+\frac{15 i \pi  b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \sqrt{d e}\, d^{3}}-\frac{7 b \,e^{2} x^{3} \ln \left(x^{n}\right)}{8 \left(e \,x^{2}+d \right)^{2} d^{3}}+\frac{7 i \pi  b \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16 \left(e \,x^{2}+d \right)^{2} d^{3}}-\frac{b e n x \ln \left(x \right)}{2 \left(e \,x^{2}+d \right) d^{3}}-\frac{15 i \pi  b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \sqrt{d e}\, d^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{3} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{3} x}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{3} x}+\frac{b e n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d^{3}}+\frac{b \,e^{2} n \,x^{3} \ln \left(x \right)}{2 \left(e \,x^{2}+d \right)^{2} d^{3}}+\frac{b e n x \ln \left(x \right)}{2 \left(e \,x^{2}+d \right)^{2} d^{2}}-\frac{b e n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d^{3}}+\frac{15 b e n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{8 \sqrt{d e}\, d^{3}}-\frac{15 b e n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \sqrt{-d e}\, d^{3}}+\frac{15 b e n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \sqrt{-d e}\, d^{3}}+\frac{9 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)}{16 \left(e \,x^{2}+d \right)^{2} d^{2}}-\frac{7 i \pi  b \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} d^{3}}-\frac{7 i \pi  b \,e^{2} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} d^{3}}-\frac{9 i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} d^{2}}-\frac{9 i \pi  b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} d^{2}}-\frac{15 i \pi  b e \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \sqrt{d e}\, d^{3}}"," ",0,"7/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3/(e*x^2+d)^2*x^3-b*ln(x^n)/d^3/x-15/16*b*n*e/d^3/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+15/16*b*n*e/d^3/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/8*b*n*e/d^3*x/(e*x^2+d)+3/8*b*n*e^2/d^2*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2-a/d^3/x+15/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-b/d^3/x*ln(c)+b*n*e/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+15/16*I*b*Pi*csgn(I*c*x^n)^3*e/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-3/8*b*n*e^2/d^2*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2-3/16*b*n*e^3/d^3*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^4+3/16*b*n*e^3/d^3*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^4+1/4*b*n*e^2/d^3*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2-1/4*b*n*e^2/d^3*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2-9/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2/(e*x^2+d)^2*x-15/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+9/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2/(e*x^2+d)^2*x-7/8*b*ln(c)*e^2/d^3/(e*x^2+d)^2*x^3-9/8*b*ln(c)*e/d^2/(e*x^2+d)^2*x-15/8*b*ln(c)*e/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-3/16*b*n*e/d*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*b*n*e/d^2*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/16*b*n*e/d*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-9/8*b*e/d^2/(e*x^2+d)^2*x*ln(x^n)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3/x-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3/x-b/d^3*n/x-1/4*b*n*e/d^2*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-7/8*a*e^2/d^3/(e*x^2+d)^2*x^3-9/8*a*e/d^2/(e*x^2+d)^2*x-15/8*a*e/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+7/16*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3/(e*x^2+d)^2*x^3-15/8*b*e/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)+1/2*I*b*Pi*csgn(I*c*x^n)^3/d^3/x+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3/x-7/8*b*e^2/d^3/(e*x^2+d)^2*x^3*ln(x^n)-7/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3/(e*x^2+d)^2*x^3-9/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2/(e*x^2+d)^2*x+9/16*I*b*Pi*csgn(I*c*x^n)^3*e/d^2/(e*x^2+d)^2*x-7/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3/(e*x^2+d)^2*x^3-15/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/2*b*n*e/d^3*ln(x)*x/(e*x^2+d)+1/2*b*n*e/d^3/(-d*e)^(1/2)*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*b*n*e^2/d^3*ln(x)/(e*x^2+d)^2*x^3+1/2*b*n*e/d^2*ln(x)/(e*x^2+d)^2*x-1/2*b*n*e/d^3/(-d*e)^(1/2)*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+15/8*b*e/d^3/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)","C"
240,1,1729,214,0.403000," ","int((b*ln(c*x^n)+a)/x^4/(e*x^2+d)^3,x)","-\frac{b \,e^{2} n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{3}}+\frac{3 b \,e^{2} n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d^{2}}-\frac{3 b \,e^{2} n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d^{2}}-\frac{3 b \,e^{3} n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{8 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d^{3}}+\frac{3 b \,e^{4} n \,x^{4} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d^{4}}-\frac{3 b \,e^{4} n \,x^{4} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d^{4}}+\frac{b \,e^{3} n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{4}}-\frac{b \,e^{3} n \,x^{2} \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{4}}+\frac{3 b e \ln \left(c \right)}{d^{4} x}-\frac{b \ln \left(x^{n}\right)}{3 d^{3} x^{3}}-\frac{b \ln \left(c \right)}{3 d^{3} x^{3}}-\frac{a}{3 d^{3} x^{3}}+\frac{b \,e^{2} n x \ln \left(x \right)}{\left(e \,x^{2}+d \right) d^{4}}+\frac{3 a e}{d^{4} x}+\frac{b \,e^{2} n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \left(e \,x^{2}+d \right) \sqrt{-d e}\, d^{3}}-\frac{b \,e^{3} n \,x^{3} \ln \left(x \right)}{\left(e \,x^{2}+d \right)^{2} d^{4}}-\frac{b \,e^{2} n x \ln \left(x \right)}{\left(e \,x^{2}+d \right)^{2} d^{3}}-\frac{35 b \,e^{2} n \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x \right)}{8 \sqrt{d e}\, d^{4}}+\frac{3 b \,e^{2} n \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d^{4}}-\frac{3 b \,e^{2} n \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{2 \sqrt{-d e}\, d^{4}}+\frac{3 b \,e^{3} n \,x^{2} \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{8 \left(e \,x^{2}+d \right)^{2} \sqrt{-d e}\, d^{3}}+\frac{35 b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(c \right)}{8 \sqrt{d e}\, d^{4}}+\frac{11 b \,e^{3} x^{3} \ln \left(c \right)}{8 \left(e \,x^{2}+d \right)^{2} d^{4}}-\frac{11 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16 \left(e \,x^{2}+d \right)^{2} d^{4}}-\frac{13 i \pi  b \,e^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16 \left(e \,x^{2}+d \right)^{2} d^{3}}+\frac{13 b \,e^{2} x \ln \left(x^{n}\right)}{8 \left(e \,x^{2}+d \right)^{2} d^{3}}+\frac{11 b \,e^{3} x^{3} \ln \left(x^{n}\right)}{8 \left(e \,x^{2}+d \right)^{2} d^{4}}+\frac{35 b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \ln \left(x^{n}\right)}{8 \sqrt{d e}\, d^{4}}+\frac{35 b \,e^{2} n \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \sqrt{-d e}\, d^{4}}-\frac{35 b \,e^{2} n \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{16 \sqrt{-d e}\, d^{4}}-\frac{b \,e^{2} n x}{8 \left(e \,x^{2}+d \right) d^{4}}+\frac{13 b \,e^{2} x \ln \left(c \right)}{8 \left(e \,x^{2}+d \right)^{2} d^{3}}+\frac{3 i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{4} x}+\frac{3 i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{4} 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)}{6 d^{3} x^{3}}-\frac{3 b \,e^{2} n \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{2 \sqrt{d e}\, d^{4}}-\frac{35 i \pi  b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16 \sqrt{d e}\, d^{4}}-\frac{11 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \left(e \,x^{2}+d \right)^{2} d^{4}}-\frac{13 i \pi  b \,e^{2} x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \left(e \,x^{2}+d \right)^{2} d^{3}}-\frac{35 i \pi  b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{16 \sqrt{d e}\, d^{4}}+\frac{35 i \pi  b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \sqrt{d e}\, d^{4}}+\frac{11 a \,e^{3} x^{3}}{8 \left(e \,x^{2}+d \right)^{2} d^{4}}+\frac{13 a \,e^{2} x}{8 \left(e \,x^{2}+d \right)^{2} d^{3}}+\frac{35 a \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{8 \sqrt{d e}\, d^{4}}-\frac{b n}{9 d^{3} x^{3}}+\frac{3 b e \ln \left(x^{n}\right)}{d^{4} x}-\frac{3 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)}{2 d^{4} x}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 d^{3} x^{3}}+\frac{13 i \pi  b \,e^{2} x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} d^{3}}-\frac{3 i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{4} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 d^{3} x^{3}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 d^{3} x^{3}}+\frac{35 i \pi  b \,e^{2} \arctan \left(\frac{e x}{\sqrt{d e}}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \sqrt{d e}\, d^{4}}+\frac{11 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} d^{4}}+\frac{11 i \pi  b \,e^{3} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} d^{4}}+\frac{13 i \pi  b \,e^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(e \,x^{2}+d \right)^{2} d^{3}}+\frac{3 b e n}{d^{4} x}"," ",0,"-1/2*b*n*e^2/d^3*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/16*b*n*e^2/d^2*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-3/16*b*n*e^2/d^2*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-3/8*b*n*e^3/d^3*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2+3/16*b*n*e^4/d^4*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^4-3/16*b*n*e^4/d^4*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^4+1/2*b*n*e^3/d^4*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2-1/2*b*n*e^3/d^4*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2-13/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3/(e*x^2+d)^2*x+3/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*e/x+3*b/d^4*e/x*ln(c)-1/3*b/d^3/x^3*ln(x^n)-1/3*b*ln(c)/d^3/x^3+3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*e/x-1/3*a/d^3/x^3+b*n*e^2/d^4*ln(x)*x/(e*x^2+d)+3*a/d^4*e/x-35/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^4/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-11/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^3/d^4/(e*x^2+d)^2*x^3+1/2*b*n*e^2/d^3*ln(x)/(e*x^2+d)/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-b*n*e^3/d^4*ln(x)/(e*x^2+d)^2*x^3-b*n*e^2/d^3*ln(x)/(e*x^2+d)^2*x-35/8*b*e^2/d^4/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*n*ln(x)+3/2*b*n*e^2/d^4/(-d*e)^(1/2)*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-3/2*b*n*e^2/d^4/(-d*e)^(1/2)*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+3/8*b*n*e^3/d^3*ln(x)/(e*x^2+d)^2/(-d*e)^(1/2)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))*x^2+13/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3/(e*x^2+d)^2*x+35/8*b*ln(c)*e^2/d^4/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+11/8*b*ln(c)*e^3/d^4/(e*x^2+d)^2*x^3-3/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*e/x-3/2*I*b*Pi*csgn(I*c*x^n)^3/d^4*e/x-1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3/x^3-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3/x^3+13/8*b*e^2/d^3/(e*x^2+d)^2*x*ln(x^n)+11/8*b*e^3/d^4/(e*x^2+d)^2*x^3*ln(x^n)+35/8*b*e^2/d^4/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)*ln(x^n)-1/8*b*n*e^2/d^4*x/(e*x^2+d)+13/8*b*ln(c)*e^2/d^3/(e*x^2+d)^2*x-13/16*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3/(e*x^2+d)^2*x+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3/x^3-3/2*b*n*e^2/d^4/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+35/16*b*n*e^2/d^4/(-d*e)^(1/2)*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-35/16*b*n*e^2/d^4/(-d*e)^(1/2)*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+11/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^3/d^4/(e*x^2+d)^2*x^3+13/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3/(e*x^2+d)^2*x-35/16*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^4/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+35/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^4/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+11/16*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^3/d^4/(e*x^2+d)^2*x^3+11/8*a*e^3/d^4/(e*x^2+d)^2*x^3+13/8*a*e^2/d^3/(e*x^2+d)^2*x+35/8*a*e^2/d^4/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/6*I*b*Pi*csgn(I*c*x^n)^3/d^3/x^3-1/9*b*n/d^3/x^3+35/16*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^4/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+3*b*ln(x^n)/d^4*e/x-11/16*I*b*Pi*csgn(I*c*x^n)^3*e^3/d^4/(e*x^2+d)^2*x^3+3*b/d^4*e*n/x","C"
241,1,12,15,0.033000," ","int(x*ln(c*x^2)/(-c*x^2+1),x)","\frac{\dilog \left(c \,x^{2}\right)}{2 c}"," ",0,"1/2/c*dilog(c*x^2)","A"
242,1,52,14,0.140000," ","int(x*ln(x^2/c)/(-x^2+c),x)","\ln \left(\frac{x}{\RootOf \left(\textit{\_Z}^{2}-c \right)}\right) \ln \left(-\RootOf \left(\textit{\_Z}^{2}-c \right)+x \right)-\frac{\ln \left(\frac{x^{2}}{c}\right) \ln \left(-\RootOf \left(\textit{\_Z}^{2}-c \right)+x \right)}{2}+\dilog \left(\frac{x}{\RootOf \left(\textit{\_Z}^{2}-c \right)}\right)"," ",0,"-1/2*sum(ln(x-_alpha)*ln(x^2/c)-2*dilog(x/_alpha)-2*ln(x-_alpha)*ln(x/_alpha),_alpha=RootOf(_Z^2-c))","C"
243,1,20,18,0.036000," ","int(ln(x)/(-x^2+1),x)","\frac{\ln \left(x \right) \ln \left(x +1\right)}{2}+\frac{\dilog \left(x \right)}{2}+\frac{\dilog \left(x +1\right)}{2}"," ",0,"1/2*dilog(x)+1/2*dilog(x+1)+1/2*ln(x)*ln(x+1)","A"
244,1,46,24,0.038000," ","int(ln(x)/(x^2+1),x)","\frac{i \ln \left(x \right) \ln \left(-i x +1\right)}{2}-\frac{i \ln \left(x \right) \ln \left(i x +1\right)}{2}+\frac{i \dilog \left(-i x +1\right)}{2}-\frac{i \dilog \left(i x +1\right)}{2}"," ",0,"-1/2*I*ln(x)*ln(1+I*x)+1/2*I*ln(x)*ln(1-I*x)-1/2*I*dilog(1+I*x)+1/2*I*dilog(1-I*x)","A"
245,1,103,46,0.065000," ","int((b*ln(c*x)+a)/(-e*x^2+1),x)","\frac{b \ln \left(c x \right) \ln \left(\frac{c \sqrt{e}\, x +c}{c}\right)}{2 \sqrt{e}}-\frac{b \ln \left(c x \right) \ln \left(-\frac{c \sqrt{e}\, x -c}{c}\right)}{2 \sqrt{e}}+\frac{a \arctanh \left(\sqrt{e}\, x \right)}{\sqrt{e}}+\frac{b \dilog \left(\frac{c \sqrt{e}\, x +c}{c}\right)}{2 \sqrt{e}}-\frac{b \dilog \left(-\frac{c \sqrt{e}\, x -c}{c}\right)}{2 \sqrt{e}}"," ",0,"a/e^(1/2)*arctanh(x*e^(1/2))-1/2*b/e^(1/2)*ln(c*x)*ln(-(x*c*e^(1/2)-c)/c)+1/2*b/e^(1/2)*ln(c*x)*ln((x*c*e^(1/2)+c)/c)-1/2*b/e^(1/2)*dilog(-(x*c*e^(1/2)-c)/c)+1/2*b/e^(1/2)*dilog((x*c*e^(1/2)+c)/c)","B"
246,1,200,50,0.204000," ","int((b*ln(c*x^n)+a)/(-e*x^2+1),x)","-\frac{b n \arctanh \left(\sqrt{e}\, x \right) \ln \left(x \right)}{\sqrt{e}}-\frac{b n \ln \left(x \right) \ln \left(-\sqrt{e}\, x +1\right)}{2 \sqrt{e}}+\frac{b n \ln \left(x \right) \ln \left(\sqrt{e}\, x +1\right)}{2 \sqrt{e}}-\frac{b n \dilog \left(-\sqrt{e}\, x +1\right)}{2 \sqrt{e}}+\frac{b n \dilog \left(\sqrt{e}\, x +1\right)}{2 \sqrt{e}}+\frac{b \arctanh \left(\sqrt{e}\, x \right) \ln \left(x^{n}\right)}{\sqrt{e}}-\frac{\left(\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}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2}-\frac{i \pi  b \,\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}}{2}-b \ln \left(c \right)-a \right) \arctanh \left(\sqrt{e}\, x \right)}{\sqrt{e}}"," ",0,"-(-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I*b*Pi*csgn(I*c*x^n)^3-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)-b*ln(c)-a)/e^(1/2)*arctanh(e^(1/2)*x)-b/e^(1/2)*arctanh(e^(1/2)*x)*n*ln(x)+b/e^(1/2)*arctanh(e^(1/2)*x)*ln(x^n)-1/2*b*n/e^(1/2)*ln(x)*ln(1-e^(1/2)*x)+1/2*b*n/e^(1/2)*ln(x)*ln(e^(1/2)*x+1)-1/2*b*n/e^(1/2)*dilog(1-e^(1/2)*x)+1/2*b*n/e^(1/2)*dilog(e^(1/2)*x+1)","C"
247,0,0,393,27.054000," ","int((b*ln(c*x^n)+a)^2/(e*x^2+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e \,x^{2}+d \right)^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/(e*x^2+d)^2,x)","F"
248,0,0,555,31.293000," ","int((b*ln(c*x^n)+a)^3/(e*x^2+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3}}{\left(e \,x^{2}+d \right)^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3/(e*x^2+d)^2,x)","F"
249,0,0,24,0.584000," ","int(1/(e*x^2+d)^2/(b*ln(c*x^n)+a),x)","\int \frac{1}{\left(e \,x^{2}+d \right)^{2} \left(b \ln \left(c \,x^{n}\right)+a \right)}\, dx"," ",0,"int(1/(e*x^2+d)^2/(b*ln(c*x^n)+a),x)","F"
250,0,0,24,3.522000," ","int(1/(e*x^2+d)^2/(b*ln(c*x^n)+a)^2,x)","\int \frac{1}{\left(e \,x^{2}+d \right)^{2} \left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(e*x^2+d)^2/(b*ln(c*x^n)+a)^2,x)","F"
251,0,0,172,0.417000," ","int(x^5*(b*ln(c*x^n)+a)*(e*x^2+d)^(1/2),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e \,x^{2}+d}\, x^{5}\, dx"," ",0,"int(x^5*(b*ln(c*x^n)+a)*(e*x^2+d)^(1/2),x)","F"
252,0,0,126,0.409000," ","int(x^3*(b*ln(c*x^n)+a)*(e*x^2+d)^(1/2),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e \,x^{2}+d}\, x^{3}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)*(e*x^2+d)^(1/2),x)","F"
253,0,0,82,0.395000," ","int(x*(b*ln(c*x^n)+a)*(e*x^2+d)^(1/2),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e \,x^{2}+d}\, x\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)*(e*x^2+d)^(1/2),x)","F"
254,0,0,174,0.372000," ","int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2)/x,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e \,x^{2}+d}}{x}\, dx"," ",0,"int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2)/x,x)","F"
255,0,0,196,0.375000," ","int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2)/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e \,x^{2}+d}}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2)/x^3,x)","F"
256,0,0,391,0.373000," ","int(x^4*(b*ln(c*x^n)+a)*(e*x^2+d)^(1/2),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e \,x^{2}+d}\, x^{4}\, dx"," ",0,"int(x^4*(b*ln(c*x^n)+a)*(e*x^2+d)^(1/2),x)","F"
257,0,0,339,0.366000," ","int(x^2*(b*ln(c*x^n)+a)*(e*x^2+d)^(1/2),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e \,x^{2}+d}\, x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)*(e*x^2+d)^(1/2),x)","F"
258,0,0,274,0.376000," ","int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e \,x^{2}+d}\, dx"," ",0,"int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2),x)","F"
259,0,0,293,0.376000," ","int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2)/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e \,x^{2}+d}}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2)/x^2,x)","F"
260,0,0,92,0.416000," ","int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2)/x^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e \,x^{2}+d}}{x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2)/x^4,x)","F"
261,0,0,142,0.452000," ","int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2)/x^6,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e \,x^{2}+d}}{x^{6}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2)/x^6,x)","F"
262,0,0,194,0.463000," ","int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2)/x^8,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \sqrt{e \,x^{2}+d}}{x^{8}}\, dx"," ",0,"int((b*ln(c*x^n)+a)*(e*x^2+d)^(1/2)/x^8,x)","F"
263,0,0,191,0.390000," ","int(x^5*(e*x^2+d)^(3/2)*(b*ln(c*x^n)+a),x)","\int \left(e \,x^{2}+d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right) x^{5}\, dx"," ",0,"int(x^5*(e*x^2+d)^(3/2)*(b*ln(c*x^n)+a),x)","F"
264,0,0,145,0.382000," ","int(x^3*(e*x^2+d)^(3/2)*(b*ln(c*x^n)+a),x)","\int \left(e \,x^{2}+d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right) x^{3}\, dx"," ",0,"int(x^3*(e*x^2+d)^(3/2)*(b*ln(c*x^n)+a),x)","F"
265,0,0,101,0.374000," ","int(x*(e*x^2+d)^(3/2)*(b*ln(c*x^n)+a),x)","\int \left(e \,x^{2}+d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right) x\, dx"," ",0,"int(x*(e*x^2+d)^(3/2)*(b*ln(c*x^n)+a),x)","F"
266,0,0,202,0.336000," ","int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x,x)","\int \frac{\left(e \,x^{2}+d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}{x}\, dx"," ",0,"int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x,x)","F"
267,0,0,233,0.342000," ","int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x^3,x)","\int \frac{\left(e \,x^{2}+d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}{x^{3}}\, dx"," ",0,"int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x^3,x)","F"
268,0,0,386,0.329000," ","int(x^2*(e*x^2+d)^(3/2)*(b*ln(c*x^n)+a),x)","\int \left(e \,x^{2}+d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right) x^{2}\, dx"," ",0,"int(x^2*(e*x^2+d)^(3/2)*(b*ln(c*x^n)+a),x)","F"
269,0,0,314,0.337000," ","int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a),x)","\int \left(e \,x^{2}+d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)\, dx"," ",0,"int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a),x)","F"
270,0,0,334,0.347000," ","int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x^2,x)","\int \frac{\left(e \,x^{2}+d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}{x^{2}}\, dx"," ",0,"int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x^2,x)","F"
271,0,0,336,0.338000," ","int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x^4,x)","\int \frac{\left(e \,x^{2}+d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}{x^{4}}\, dx"," ",0,"int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x^4,x)","F"
272,0,0,114,0.418000," ","int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x^6,x)","\int \frac{\left(e \,x^{2}+d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}{x^{6}}\, dx"," ",0,"int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x^6,x)","F"
273,0,0,164,0.463000," ","int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x^8,x)","\int \frac{\left(e \,x^{2}+d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}{x^{8}}\, dx"," ",0,"int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x^8,x)","F"
274,0,0,216,0.510000," ","int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x^10,x)","\int \frac{\left(e \,x^{2}+d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}{x^{10}}\, dx"," ",0,"int((e*x^2+d)^(3/2)*(b*ln(c*x^n)+a)/x^10,x)","F"
275,1,75,42,0.272000," ","int(x*ln(x)*(x^2+4)^(1/2),x)","\left(\frac{2 \sqrt{\frac{x^{2}}{4}+1}\, \ln \left(x \right)}{3}-\frac{2 \sqrt{\frac{x^{2}}{4}+1}}{9}\right) x^{2}+\left(-\frac{8}{3}+\frac{8 \sqrt{\frac{x^{2}}{4}+1}}{3}\right) \ln \left(x \right)+\frac{8 \ln \left(\frac{1}{2}+\frac{\sqrt{\frac{x^{2}}{4}+1}}{2}\right)}{3}+\frac{32}{9}-\frac{32 \sqrt{\frac{x^{2}}{4}+1}}{9}"," ",0,"(-2/9*(1+1/4*x^2)^(1/2)+2/3*ln(x)*(1+1/4*x^2)^(1/2))*x^2+32/9-32/9*(1+1/4*x^2)^(1/2)+ln(x)*(-8/3+8/3*(1+1/4*x^2)^(1/2))+8/3*ln(1/2+1/2*(1+1/4*x^2)^(1/2))","A"
276,0,0,152,0.378000," ","int(x^5*(b*ln(c*x^n)+a)/(e*x^2+d)^(1/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{5}}{\sqrt{e \,x^{2}+d}}\, dx"," ",0,"int(x^5*(b*ln(c*x^n)+a)/(e*x^2+d)^(1/2),x)","F"
277,0,0,107,0.359000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x^2+d)^(1/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{3}}{\sqrt{e \,x^{2}+d}}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)/(e*x^2+d)^(1/2),x)","F"
278,0,0,63,0.349000," ","int(x*(b*ln(c*x^n)+a)/(e*x^2+d)^(1/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x}{\sqrt{e \,x^{2}+d}}\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)/(e*x^2+d)^(1/2),x)","F"
279,0,0,130,0.341000," ","int((b*ln(c*x^n)+a)/x/(e*x^2+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{e \,x^{2}+d}\, x}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x/(e*x^2+d)^(1/2),x)","F"
280,0,0,202,0.346000," ","int((b*ln(c*x^n)+a)/x^3/(e*x^2+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{e \,x^{2}+d}\, x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^3/(e*x^2+d)^(1/2),x)","F"
281,0,0,297,0.336000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x^2+d)^(1/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{2}}{\sqrt{e \,x^{2}+d}}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)/(e*x^2+d)^(1/2),x)","F"
282,0,0,214,0.329000," ","int((b*ln(c*x^n)+a)/(e*x^2+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{e \,x^{2}+d}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/(e*x^2+d)^(1/2),x)","F"
283,0,0,71,0.366000," ","int((b*ln(c*x^n)+a)/x^2/(e*x^2+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{e \,x^{2}+d}\, x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^2/(e*x^2+d)^(1/2),x)","F"
284,0,0,120,0.389000," ","int((b*ln(c*x^n)+a)/x^4/(e*x^2+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{e \,x^{2}+d}\, x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^4/(e*x^2+d)^(1/2),x)","F"
285,0,0,172,0.398000," ","int((b*ln(c*x^n)+a)/x^6/(e*x^2+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{e \,x^{2}+d}\, x^{6}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^6/(e*x^2+d)^(1/2),x)","F"
286,0,0,179,0.332000," ","int(x^7*(b*ln(c*x^n)+a)/(e*x^2+d)^(3/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{7}}{\left(e \,x^{2}+d \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^7*(b*ln(c*x^n)+a)/(e*x^2+d)^(3/2),x)","F"
287,0,0,134,0.348000," ","int(x^5*(b*ln(c*x^n)+a)/(e*x^2+d)^(3/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{5}}{\left(e \,x^{2}+d \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^5*(b*ln(c*x^n)+a)/(e*x^2+d)^(3/2),x)","F"
288,0,0,88,0.337000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x^2+d)^(3/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{3}}{\left(e \,x^{2}+d \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)/(e*x^2+d)^(3/2),x)","F"
289,0,0,51,0.360000," ","int(x*(b*ln(c*x^n)+a)/(e*x^2+d)^(3/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x}{\left(e \,x^{2}+d \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)/(e*x^2+d)^(3/2),x)","F"
290,0,0,165,0.339000," ","int((b*ln(c*x^n)+a)/x/(e*x^2+d)^(3/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{2}+d \right)^{\frac{3}{2}} x}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x/(e*x^2+d)^(3/2),x)","F"
291,0,0,230,0.338000," ","int((b*ln(c*x^n)+a)/x^3/(e*x^2+d)^(3/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{2}+d \right)^{\frac{3}{2}} x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^3/(e*x^2+d)^(3/2),x)","F"
292,0,0,278,0.320000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x^2+d)^(3/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{2}}{\left(e \,x^{2}+d \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)/(e*x^2+d)^(3/2),x)","F"
293,0,0,50,0.330000," ","int((b*ln(c*x^n)+a)/(e*x^2+d)^(3/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{2}+d \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/(e*x^2+d)^(3/2),x)","F"
294,0,0,100,0.342000," ","int((b*ln(c*x^n)+a)/x^2/(e*x^2+d)^(3/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{2}+d \right)^{\frac{3}{2}} x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^2/(e*x^2+d)^(3/2),x)","F"
295,0,0,151,0.334000," ","int((b*ln(c*x^n)+a)/x^4/(e*x^2+d)^(3/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{2}+d \right)^{\frac{3}{2}} x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^4/(e*x^2+d)^(3/2),x)","F"
296,0,0,203,0.337000," ","int((b*ln(c*x^n)+a)/x^6/(e*x^2+d)^(3/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{2}+d \right)^{\frac{3}{2}} x^{6}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^6/(e*x^2+d)^(3/2),x)","F"
297,0,0,180,0.347000," ","int(x^7*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{7}}{\left(e \,x^{2}+d \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^7*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","F"
298,0,0,133,0.326000," ","int(x^5*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{5}}{\left(e \,x^{2}+d \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^5*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","F"
299,0,0,92,0.329000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{3}}{\left(e \,x^{2}+d \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","F"
300,0,0,71,0.361000," ","int(x*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x}{\left(e \,x^{2}+d \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","F"
301,0,0,197,0.349000," ","int((b*ln(c*x^n)+a)/x/(e*x^2+d)^(5/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{2}+d \right)^{\frac{5}{2}} x}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x/(e*x^2+d)^(5/2),x)","F"
302,0,0,272,0.335000," ","int((b*ln(c*x^n)+a)/x^3/(e*x^2+d)^(5/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{2}+d \right)^{\frac{5}{2}} x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^3/(e*x^2+d)^(5/2),x)","F"
303,0,0,450,0.333000," ","int(x^6*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{6}}{\left(e \,x^{2}+d \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^6*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","F"
304,0,0,323,0.345000," ","int(x^4*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{4}}{\left(e \,x^{2}+d \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^4*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","F"
305,0,0,73,0.331000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{2}}{\left(e \,x^{2}+d \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","F"
306,0,0,93,0.344000," ","int((b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{2}+d \right)^{\frac{5}{2}}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/(e*x^2+d)^(5/2),x)","F"
307,0,0,144,0.341000," ","int((b*ln(c*x^n)+a)/x^2/(e*x^2+d)^(5/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{2}+d \right)^{\frac{5}{2}} x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^2/(e*x^2+d)^(5/2),x)","F"
308,0,0,199,0.332000," ","int((b*ln(c*x^n)+a)/x^4/(e*x^2+d)^(5/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{2}+d \right)^{\frac{5}{2}} x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^4/(e*x^2+d)^(5/2),x)","F"
309,0,0,219,0.545000," ","int(x^3*(b*ln(c*x^n)+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{3}}{\sqrt{-e x +d}\, \sqrt{e x +d}}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","F"
310,0,0,132,0.502000," ","int(x*(b*ln(c*x^n)+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x}{\sqrt{-e x +d}\, \sqrt{e x +d}}\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","F"
311,0,0,262,0.475000," ","int((b*ln(c*x^n)+a)/x/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{-e x +d}\, \sqrt{e x +d}\, x}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","F"
312,0,0,424,0.500000," ","int((b*ln(c*x^n)+a)/x^3/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{-e x +d}\, \sqrt{e x +d}\, x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^3/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","F"
313,0,0,378,0.504000," ","int(x^2*(b*ln(c*x^n)+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{2}}{\sqrt{-e x +d}\, \sqrt{e x +d}}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","F"
314,0,0,244,0.483000," ","int((b*ln(c*x^n)+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{-e x +d}\, \sqrt{e x +d}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","F"
315,0,0,128,0.500000," ","int((b*ln(c*x^n)+a)/x^2/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{-e x +d}\, \sqrt{e x +d}\, x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^2/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","F"
316,0,0,220,0.552000," ","int((b*ln(c*x^n)+a)/x^4/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{-e x +d}\, \sqrt{e x +d}\, x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^4/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x)","F"
317,1,119,28,0.269000," ","int(x*ln(x)/(x^2-1)^(1/2),x)","\frac{\sqrt{-\mathrm{signum}\left(x^{2}-1\right)}\, \left(2-2 \sqrt{-x^{2}+1}\right) \ln \left(x \right)}{2 \sqrt{\mathrm{signum}\left(x^{2}-1\right)}}-\frac{\sqrt{-\mathrm{signum}\left(x^{2}-1\right)}\, \left(2-2 \sqrt{-x^{2}+1}\right)}{4 \sqrt{\mathrm{signum}\left(x^{2}-1\right)}}+\frac{\sqrt{-\mathrm{signum}\left(x^{2}-1\right)}\, \left(-32 \ln \left(\frac{1}{2}+\frac{\sqrt{-x^{2}+1}}{2}\right)-16+16 \sqrt{-x^{2}+1}\right)}{32 \sqrt{\mathrm{signum}\left(x^{2}-1\right)}}"," ",0,"-1/4/signum(x^2-1)^(1/2)*(-signum(x^2-1))^(1/2)*(2-2*(-x^2+1)^(1/2))+1/2/signum(x^2-1)^(1/2)*(-signum(x^2-1))^(1/2)*ln(x)*(2-2*(-x^2+1)^(1/2))+1/32/signum(x^2-1)^(1/2)*(-signum(x^2-1))^(1/2)*(-16+16*(-x^2+1)^(1/2)-32*ln(1/2+1/2*(-x^2+1)^(1/2)))","C"
318,1,5139,211,0.622000," ","int((f*x)^m*(e*x^2+d)^3*(b*ln(c*x^n)+a),x)","\text{output too large to display}"," ",0,"result too large to display","C"
319,1,2790,153,0.395000," ","int((f*x)^m*(e*x^2+d)^2*(b*ln(c*x^n)+a),x)","\text{Expression too large to display}"," ",0,"b*x*(e^2*m^2*x^4+4*e^2*m*x^4+2*d*e*m^2*x^2+3*e^2*x^4+12*d*e*m*x^2+d^2*m^2+10*d*e*x^2+8*d^2*m+15*d^2)/(m+1)/(m+3)/(m+5)*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)*ln(x^n)+1/2*x*(2*a*e^2*m^5*x^4-188*b*d^2*m^2*n-480*b*d^2*m*n+90*a*e^2*x^4+300*b*d*e*x^2*ln(c)-2*b*d^2*m^4*n+450*a*d^2+26*a*e^2*m^4*x^4-32*b*d^2*m^3*n+220*a*d^2*m^3+668*a*d^2*m^2+930*a*d^2*m-450*b*d^2*n+34*a*d^2*m^4+2*a*d^2*m^5+2*b*d^2*m^5*ln(c)+34*b*d^2*m^4*ln(c)+220*b*d^2*m^3*ln(c)+668*b*d^2*m^2*ln(c)+930*b*d^2*m*ln(c)+90*b*e^2*x^4*ln(c)+300*a*d*e*x^2+450*b*d^2*ln(c)+334*I*Pi*b*d^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)^2+334*I*Pi*b*d^2*m^2*csgn(I*c*x^n)^2*csgn(I*c)+465*I*Pi*b*d^2*m*csgn(I*x^n)*csgn(I*c*x^n)^2-48*b*d*e*m^3*n*x^2+328*ln(c)*b*d*e*m^3*x^2+792*ln(c)*b*d*e*m^2*x^2+820*ln(c)*b*d*e*m*x^2+60*ln(c)*b*d*e*m^4*x^2+4*ln(c)*b*d*e*m^5*x^2-44*b*e^2*m^2*n*x^4-48*b*e^2*m*n*x^4-184*b*d*e*m^2*n*x^2-I*Pi*b*d^2*m^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*b*e^2*m^5*x^4*csgn(I*c*x^n)^2*csgn(I*c)+13*I*Pi*b*e^2*m^4*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+13*I*Pi*b*e^2*m^4*x^4*csgn(I*c*x^n)^2*csgn(I*c)-2*I*Pi*b*d*e*m^5*x^2*csgn(I*c*x^n)^3-30*I*Pi*b*d*e*m^4*x^2*csgn(I*c*x^n)^3-18*b*e^2*n*x^4-2*I*Pi*b*d*e*m^5*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-30*I*Pi*b*d*e*m^4*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*b*d*e*m^4*n*x^2+2*I*Pi*b*d*e*m^5*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+2*I*Pi*b*d*e*m^5*x^2*csgn(I*c*x^n)^2*csgn(I*c)+30*I*Pi*b*d*e*m^4*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-62*I*Pi*b*e^2*m^3*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+45*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)+110*I*Pi*b*d^2*m^3*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*d^2*m^5*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*d^2*m^5*csgn(I*c*x^n)^2*csgn(I*c)+328*a*d*e*m^3*x^2+792*a*d*e*m^2*x^2+820*a*d*e*m*x^2+124*a*e^2*m^3*x^4+268*a*e^2*m^2*x^4+258*a*e^2*m*x^4+129*I*Pi*b*e^2*m*x^4*csgn(I*c*x^n)^2*csgn(I*c)-396*I*Pi*b*d*e*m^2*x^2*csgn(I*c*x^n)^3-110*I*Pi*b*d^2*m^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-410*I*Pi*b*d*e*m*x^2*csgn(I*c*x^n)^3-129*I*Pi*b*e^2*m*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+396*I*Pi*b*d*e*m^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+396*I*Pi*b*d*e*m^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-240*b*d*e*m*n*x^2-16*b*e^2*m^3*n*x^4+60*a*d*e*m^4*x^2+30*I*Pi*b*d*e*m^4*x^2*csgn(I*c*x^n)^2*csgn(I*c)+410*I*Pi*b*d*e*m*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+410*I*Pi*b*d*e*m*x^2*csgn(I*c*x^n)^2*csgn(I*c)-164*I*Pi*b*d*e*m^3*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-396*I*Pi*b*d*e*m^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-410*I*Pi*b*d*e*m*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+150*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+150*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*e^2*m^5*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+164*I*Pi*b*d*e*m^3*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+164*I*Pi*b*d*e*m^3*x^2*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*e^2*m^5*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-13*I*Pi*b*e^2*m^4*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+124*ln(c)*b*e^2*m^3*x^4+268*ln(c)*b*e^2*m^2*x^4+258*ln(c)*b*e^2*m*x^4+26*ln(c)*b*e^2*m^4*x^4+2*ln(c)*b*e^2*m^5*x^4-2*b*e^2*m^4*n*x^4+4*a*d*e*m^5*x^2-225*I*Pi*b*d^2*csgn(I*c*x^n)^3-334*I*Pi*b*d^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-465*I*Pi*b*d^2*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+134*I*Pi*b*e^2*m^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+134*I*Pi*b*e^2*m^2*x^4*csgn(I*c*x^n)^2*csgn(I*c)-17*I*Pi*b*d^2*m^4*csgn(I*c*x^n)^3+225*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-150*I*Pi*b*d*e*x^2*csgn(I*c*x^n)^3-I*Pi*b*d^2*m^5*csgn(I*c*x^n)^3-134*I*Pi*b*e^2*m^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-150*I*Pi*b*d*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-17*I*Pi*b*d^2*m^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-45*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-164*I*Pi*b*d*e*m^3*x^2*csgn(I*c*x^n)^3+129*I*Pi*b*e^2*m*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-100*b*d*e*n*x^2-I*Pi*b*e^2*m^5*x^4*csgn(I*c*x^n)^3-13*I*Pi*b*e^2*m^4*x^4*csgn(I*c*x^n)^3+17*I*Pi*b*d^2*m^4*csgn(I*x^n)*csgn(I*c*x^n)^2+17*I*Pi*b*d^2*m^4*csgn(I*c*x^n)^2*csgn(I*c)+110*I*Pi*b*d^2*m^3*csgn(I*c*x^n)^2*csgn(I*c)-62*I*Pi*b*e^2*m^3*x^4*csgn(I*c*x^n)^3+465*I*Pi*b*d^2*m*csgn(I*c*x^n)^2*csgn(I*c)-225*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-129*I*Pi*b*e^2*m*x^4*csgn(I*c*x^n)^3+45*I*Pi*b*e^2*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2-134*I*Pi*b*e^2*m^2*x^4*csgn(I*c*x^n)^3+225*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)-334*I*Pi*b*d^2*m^2*csgn(I*c*x^n)^3-465*I*Pi*b*d^2*m*csgn(I*c*x^n)^3-45*I*Pi*b*e^2*x^4*csgn(I*c*x^n)^3-110*I*Pi*b*d^2*m^3*csgn(I*c*x^n)^3+62*I*Pi*b*e^2*m^3*x^4*csgn(I*x^n)*csgn(I*c*x^n)^2+62*I*Pi*b*e^2*m^3*x^4*csgn(I*c*x^n)^2*csgn(I*c))/(m+5)^2/(m+1)^2/(m+3)^2*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)","C"
320,1,1180,95,0.253000," ","int((f*x)^m*(e*x^2+d)*(b*ln(c*x^n)+a),x)","\frac{\left(m \,x^{2} e +e \,x^{2}+m d +3 d \right) b x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right) m}{2}} \ln \left(x^{n}\right)}{\left(m +1\right) \left(m +3\right)}-\frac{\left(18 b d n -30 a d m -6 a e \,x^{2}-14 a e m \,x^{2}-2 b d \,m^{3} \ln \left(c \right)-14 b d \,m^{2} \ln \left(c \right)-30 b d m \ln \left(c \right)-14 a d \,m^{2}-2 a e \,m^{3} x^{2}-6 b e \,x^{2} \ln \left(c \right)-18 a d +2 b d \,m^{2} n -2 a d \,m^{3}-18 b d \ln \left(c \right)+9 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)+i \pi  b e \,m^{3} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+5 i \pi  b e \,m^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  b d \,m^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \,m^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+7 i \pi  b e m \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-7 i \pi  b d \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-7 i \pi  b d \,m^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b e \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-10 a e \,m^{2} x^{2}+9 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b e n \,x^{2}+12 b d m n +2 b e \,m^{2} n \,x^{2}-10 b e \,m^{2} x^{2} \ln \left(c \right)-14 b e m \,x^{2} \ln \left(c \right)-2 b e \,m^{3} x^{2} \ln \left(c \right)-15 i \pi  b d m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-15 i \pi  b d m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+15 i \pi  b d m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-7 i \pi  b e m \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+7 i \pi  b d \,m^{2} \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 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 b e m n \,x^{2}-i \pi  b e \,m^{3} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e \,m^{3} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-5 i \pi  b e \,m^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-5 i \pi  b e \,m^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \,m^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-7 i \pi  b e m \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e \,m^{3} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+5 i \pi  b e \,m^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+7 i \pi  b e m \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b d \,m^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+7 i \pi  b d \,m^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3 i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+15 i \pi  b d m \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-9 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}\right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right) m}{2}}}{2 \left(m +3\right)^{2} \left(m +1\right)^{2}}"," ",0,"b*x*(e*m*x^2+e*x^2+d*m+3*d)/(m+1)/(m+3)*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)*ln(x^n)-1/2*x*(18*b*d*n-30*a*d*m-6*a*e*x^2-14*a*e*m*x^2-2*b*d*m^3*ln(c)-14*b*d*m^2*ln(c)-30*b*d*m*ln(c)-14*a*d*m^2-2*a*e*m^3*x^2-6*b*e*x^2*ln(c)-18*a*d+2*b*d*m^2*n-2*a*d*m^3-18*b*d*ln(c)+3*I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+15*I*Pi*b*d*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-7*I*Pi*b*e*m*x^2*csgn(I*c*x^n)^2*csgn(I*c)-5*I*Pi*b*e*m^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-10*a*e*m^2*x^2+15*I*Pi*b*d*m*csgn(I*c*x^n)^3-9*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-9*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+7*I*Pi*b*d*m^2*csgn(I*c*x^n)^3+3*I*Pi*b*e*x^2*csgn(I*c*x^n)^3+I*Pi*b*d*m^3*csgn(I*c*x^n)^3+2*b*e*n*x^2+12*b*d*m*n+2*b*e*m^2*n*x^2+9*I*Pi*b*d*csgn(I*c*x^n)^3-7*I*Pi*b*d*m^2*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*e*m^3*x^2*csgn(I*c*x^n)^3-3*I*Pi*b*e*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2+5*I*Pi*b*e*m^2*x^2*csgn(I*c*x^n)^3+7*I*Pi*b*e*m*x^2*csgn(I*c*x^n)^3+7*I*Pi*b*e*m*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+5*I*Pi*b*e*m^2*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*b*e*m^3*x^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-10*ln(c)*b*e*m^2*x^2-14*ln(c)*b*e*m*x^2-2*ln(c)*b*e*m^3*x^2-I*Pi*b*d*m^3*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*m^3*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d*m^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+7*I*Pi*b*d*m^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-5*I*Pi*b*e*m^2*x^2*csgn(I*c*x^n)^2*csgn(I*c)-7*I*Pi*b*e*m*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*e*m^3*x^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*e*m^3*x^2*csgn(I*c*x^n)^2*csgn(I*c)+4*b*e*m*n*x^2-15*I*Pi*b*d*m*csgn(I*c*x^n)^2*csgn(I*c)+9*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-7*I*Pi*b*d*m^2*csgn(I*c*x^n)^2*csgn(I*c)-3*I*Pi*b*e*x^2*csgn(I*c*x^n)^2*csgn(I*c)-15*I*Pi*b*d*m*csgn(I*x^n)*csgn(I*c*x^n)^2)/(m+3)^2/(m+1)^2*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)","C"
321,1,371,46,0.072000," ","int((f*x)^m*(b*ln(c*x^n)+a),x)","\frac{b x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right) m}{2}} \ln \left(x^{n}\right)}{m +1}-\frac{\left(i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b m \mathrm{csgn}\left(i c \,x^{n}\right)^{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)-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 m \ln \left(c \right)-2 a m +2 b n -2 b \ln \left(c \right)-2 a \right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right) m}{2}}}{2 \left(m +1\right)^{2}}"," ",0,"b/(m+1)*x*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)*ln(x^n)-1/2*(I*Pi*b*m*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*m*csgn(I*c)*csgn(I*c*x^n)^2-I*Pi*b*m*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*m*csgn(I*c*x^n)^3+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)^3-2*b*m*ln(c)-2*a*m+2*b*n-2*b*ln(c)-2*a)/(m+1)^2*x*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)","C"
322,0,0,27,0.701000," ","int((f*x)^m*(b*ln(c*x^n)+a)/(e*x^2+d),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \left(f x \right)^{m}}{e \,x^{2}+d}\, dx"," ",0,"int((f*x)^m*(b*ln(c*x^n)+a)/(e*x^2+d),x)","F"
323,0,0,27,0.821000," ","int((f*x)^m*(b*ln(c*x^n)+a)/(e*x^2+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \left(f x \right)^{m}}{\left(e \,x^{2}+d \right)^{2}}\, dx"," ",0,"int((f*x)^m*(b*ln(c*x^n)+a)/(e*x^2+d)^2,x)","F"
324,0,0,958,31.117000," ","int((b*ln(c*x^n)+a)^3/(e*x^3+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3}}{\left(e \,x^{3}+d \right)^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^3/(e*x^3+d)^2,x)","F"
325,0,0,682,41.436000," ","int((b*ln(c*x^n)+a)^2/(e*x^3+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e \,x^{3}+d \right)^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/(e*x^3+d)^2,x)","F"
326,1,1388,404,0.371000," ","int((b*ln(c*x^n)+a)/(e*x^3+d)^2,x)","-\frac{2 \sqrt{3}\, b n \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right) \ln \left(x \right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{b x \ln \left(x^{n}\right)}{3 \left(e \,x^{3}+d \right) d}-\frac{a \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{b x \ln \left(c \right)}{3 \left(e \,x^{3}+d \right) d}+\frac{2 \sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right) \ln \left(c \right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{b n \ln \left(x \right) \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}-\frac{\sqrt{3}\, b n \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}-\frac{2 b n \ln \left(x \right) \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{2 a \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e \,x^{3}+d \right) d}-\frac{i \pi  \sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 \left(e \,x^{3}+d \right) d}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{2 b n \left(\ln \left(x \right) \ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{3}+d \right)-x}{\RootOf \left(e \,\textit{\_Z}^{3}+d \right)}\right)+\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{3}+d \right)-x}{\RootOf \left(e \,\textit{\_Z}^{3}+d \right)}\right)\right)}{9 d e \RootOf \left(e \,\textit{\_Z}^{3}+d \right)^{2}}+\frac{2 \sqrt{3}\, a \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{2 b \ln \left(c \right) \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}-\frac{b \ln \left(c \right) \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{a x}{3 \left(e \,x^{3}+d \right) d}+\frac{2 \sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right) \ln \left(x^{n}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}-\frac{b n \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{b n \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{2 b \ln \left(x^{n}\right) \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}-\frac{b \ln \left(x^{n}\right) \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d 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(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{i \pi  \sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{i \pi  \sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d 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(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}-\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 \left(e \,x^{3}+d \right) d}-\frac{i \pi  \sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d 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)}{6 \left(e \,x^{3}+d \right) d}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}"," ",0,"-2/9*b/d/e/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))*n*ln(x)-1/9*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/e/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))+1/3*b*x/d/(e*x^3+d)*ln(x^n)-1/9*a/d/e/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))+1/3*b*ln(c)*x/d/(e*x^3+d)+2/9*b*ln(c)/d/e/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))+1/9*b/d/e/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))*n*ln(x)-1/9*b*n/d/e/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))-2/9*b/d/e/(d/e)^(2/3)*ln(x+(d/e)^(1/3))*n*ln(x)+2/9*a/d/e/(d/e)^(2/3)*ln(x+(d/e)^(1/3))+2/9*b*n/e/d*sum(1/_R1^2*(ln(x)*ln((_R1-x)/_R1)+dilog((_R1-x)/_R1)),_R1=RootOf(_Z^3*e+d))-1/9*I*b*Pi*csgn(I*c*x^n)^3/d/e/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))+1/18*I*b*Pi*csgn(I*c*x^n)^3/d/e/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))-1/9*I*b*Pi*csgn(I*c*x^n)^3/d/e/(d/e)^(2/3)*ln(x+(d/e)^(1/3))+1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*x/d/(e*x^3+d)+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*x/d/(e*x^3+d)+2/9*a/d/e/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))+2/9*b*ln(c)/d/e/(d/e)^(2/3)*ln(x+(d/e)^(1/3))-1/9*b*ln(c)/d/e/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))-1/18*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/e/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))-1/18*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/e/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))+1/3*a*x/d/(e*x^3+d)+1/9*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/e/(d/e)^(2/3)*ln(x+(d/e)^(1/3))-1/6*I*b*Pi*csgn(I*c*x^n)^3*x/d/(e*x^3+d)+2/9*b/d/e/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))*ln(x^n)-1/9*b*n/d/e/(d/e)^(2/3)*ln(x+(d/e)^(1/3))+1/18*b*n/d/e/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))+2/9*b/d/e/(d/e)^(2/3)*ln(x+(d/e)^(1/3))*ln(x^n)-1/9*b/d/e/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))*ln(x^n)+1/18*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/e/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))+1/9*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/e/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x/d/(e*x^3+d)+1/9*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/e/(d/e)^(2/3)*ln(x+(d/e)^(1/3))+1/9*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/e/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))-1/9*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/e/(d/e)^(2/3)*ln(x+(d/e)^(1/3))","C"
327,0,0,24,0.676000," ","int(1/(e*x^3+d)^2/(b*ln(c*x^n)+a),x)","\int \frac{1}{\left(e \,x^{3}+d \right)^{2} \left(b \ln \left(c \,x^{n}\right)+a \right)}\, dx"," ",0,"int(1/(e*x^3+d)^2/(b*ln(c*x^n)+a),x)","F"
328,0,0,24,2.488000," ","int(1/(e*x^3+d)^2/(b*ln(c*x^n)+a)^2,x)","\int \frac{1}{\left(e \,x^{3}+d \right)^{2} \left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(e*x^3+d)^2/(b*ln(c*x^n)+a)^2,x)","F"
329,1,867,173,0.229000," ","int(x^3*(b*ln(c*x^n)+a)/(d+e/x),x)","\frac{b \,e^{2} x^{2} \ln \left(c \right)}{2 d^{3}}-\frac{b \,e^{3} x \ln \left(c \right)}{d^{4}}+\frac{b \,e^{4} \ln \left(c \right) \ln \left(d x +e \right)}{d^{5}}-\frac{b e \,x^{3} \ln \left(c \right)}{3 d^{2}}-\frac{b \,e^{4} n \dilog \left(-\frac{d x}{e}\right)}{d^{5}}+\frac{b \,e^{4} \ln \left(x^{n}\right) \ln \left(d x +e \right)}{d^{5}}-\frac{b e \,x^{3} \ln \left(x^{n}\right)}{3 d^{2}}+\frac{b \,e^{2} x^{2} \ln \left(x^{n}\right)}{2 d^{3}}-\frac{b \,e^{3} x \ln \left(x^{n}\right)}{d^{4}}+\frac{a \,x^{4}}{4 d}+\frac{b \,x^{4} \ln \left(x^{n}\right)}{4 d}+\frac{205 b \,e^{4} n}{144 d^{5}}-\frac{a e \,x^{3}}{3 d^{2}}+\frac{a \,e^{2} x^{2}}{2 d^{3}}+\frac{a \,e^{4} \ln \left(d x +e \right)}{d^{5}}+\frac{b \,x^{4} \ln \left(c \right)}{4 d}-\frac{b \,e^{4} n \ln \left(-\frac{d x}{e}\right) \ln \left(d x +e \right)}{d^{5}}-\frac{i \pi  b \,e^{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 x +e \right)}{2 d^{5}}-\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 d^{2}}-\frac{i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 d^{3}}+\frac{i \pi  b \,e^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 d^{4}}-\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 d^{2}}+\frac{i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{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)}{8 d}+\frac{i \pi  b \,e^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 d^{5}}-\frac{i \pi  b \,e^{3} x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{4}}+\frac{i \pi  b \,e^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 d^{5}}+\frac{i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{3}}-\frac{i \pi  b \,e^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{4}}+\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 d^{2}}-\frac{a \,e^{3} x}{d^{4}}-\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{8 d}+\frac{b \,e^{3} n x}{d^{4}}-\frac{b n \,x^{4}}{16 d}+\frac{i \pi  b e \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 d^{2}}-\frac{i \pi  b \,e^{2} x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d^{3}}+\frac{i \pi  b \,e^{3} x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{4}}-\frac{i \pi  b \,e^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d x +e \right)}{2 d^{5}}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 d}+\frac{i \pi  b \,x^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{8 d}-\frac{b \,e^{2} n \,x^{2}}{4 d^{3}}+\frac{b e n \,x^{3}}{9 d^{2}}"," ",0,"1/2*b*ln(c)/d^3*x^2*e^2-b*ln(c)/d^4*x*e^3+b*ln(c)*e^4/d^5*ln(d*x+e)-1/3*b*ln(c)/d^2*e*x^3-b*n*e^4/d^5*dilog(-d*x/e)+b*ln(x^n)*e^4/d^5*ln(d*x+e)-1/3*b*ln(x^n)/d^2*e*x^3+1/2*b*ln(x^n)/d^3*x^2*e^2-b*ln(x^n)/d^4*x*e^3+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^4/d^5*ln(d*x+e)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^4*x*e^3-1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d*x^4+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*x^2*e^2+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^4/d^5*ln(d*x+e)+1/4*a/d*x^4-1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2*e*x^3-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^4*x*e^3+1/4*b*ln(x^n)/d*x^4+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*x^2*e^2-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2*e*x^3-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^4*x*e^3-1/2*I*b*Pi*csgn(I*c*x^n)^3*e^4/d^5*ln(d*x+e)+1/2*I*b*Pi*csgn(I*c*x^n)^3/d^4*x*e^3+1/8*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d*x^4+205/144*b*n*e^4/d^5-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*x^2*e^2-1/3*a/d^2*e*x^3+1/2*a/d^3*x^2*e^2+a*e^4/d^5*ln(d*x+e)+1/4*b*ln(c)/d*x^4+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2*e*x^3-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^4/d^5*ln(d*x+e)-b*n*e^4/d^5*ln(d*x+e)*ln(-d*x/e)+1/8*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d*x^4-1/8*I*b*Pi*csgn(I*c*x^n)^3/d*x^4+1/6*I*b*Pi*csgn(I*c*x^n)^3/d^2*e*x^3-1/4*I*b*Pi*csgn(I*c*x^n)^3/d^3*x^2*e^2-a*e^3*x/d^4+b*e^3*n*x/d^4-1/16*b*n*x^4/d-1/4*b*e^2*n*x^2/d^3+1/9*b*e*n*x^3/d^2","C"
330,1,693,140,0.220000," ","int(x^2*(b*ln(c*x^n)+a)/(d+e/x),x)","-\frac{b \,e^{3} \ln \left(c \right) \ln \left(d x +e \right)}{d^{4}}-\frac{b e \,x^{2} \ln \left(c \right)}{2 d^{2}}+\frac{b \,e^{2} x \ln \left(c \right)}{d^{3}}+\frac{b \,e^{3} n \dilog \left(-\frac{d x}{e}\right)}{d^{4}}-\frac{b \,e^{3} \ln \left(x^{n}\right) \ln \left(d x +e \right)}{d^{4}}+\frac{b \,e^{2} x \ln \left(x^{n}\right)}{d^{3}}-\frac{b e \,x^{2} \ln \left(x^{n}\right)}{2 d^{2}}+\frac{b \,e^{3} n \ln \left(-\frac{d x}{e}\right) \ln \left(d x +e \right)}{d^{4}}+\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(d x +e \right)}{2 d^{4}}+\frac{a \,x^{3}}{3 d}-\frac{49 b \,e^{3} n}{36 d^{4}}-\frac{a e \,x^{2}}{2 d^{2}}-\frac{a \,e^{3} \ln \left(d x +e \right)}{d^{4}}+\frac{b \,x^{3} \ln \left(c \right)}{3 d}+\frac{i \pi  b \,e^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{3}}+\frac{i \pi  b \,e^{2} x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{3}}+\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 d^{2}}-\frac{i \pi  b \,e^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 d^{3}}+\frac{b \,x^{3} \ln \left(x^{n}\right)}{3 d}-\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 d^{4}}-\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 d^{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 d^{2}}-\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)}{6 d}-\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d^{2}}+\frac{a \,e^{2} x}{d^{3}}-\frac{b \,e^{2} n x}{d^{3}}-\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 d}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 d}+\frac{i \pi  b \,x^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 d}-\frac{b n \,x^{3}}{9 d}+\frac{i \pi  b e \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d^{2}}-\frac{i \pi  b \,e^{2} x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{3}}+\frac{i \pi  b \,e^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d x +e \right)}{2 d^{4}}+\frac{b e n \,x^{2}}{4 d^{2}}"," ",0,"-b*ln(c)*e^3/d^4*ln(d*x+e)-1/2*b*ln(c)*e/d^2*x^2+b*ln(c)/d^3*x*e^2+b*n*e^3/d^4*dilog(-d/e*x)-b*ln(x^n)*e^3/d^4*ln(d*x+e)+b*ln(x^n)/d^3*x*e^2-1/2*b*ln(x^n)*e/d^2*x^2-1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d*x^3+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^3/d^4*ln(d*x+e)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*x*e^2-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2*x^2+b*n*e^3/d^4*ln(d*x+e)*ln(-d/e*x)+1/3*a/d*x^3+1/6*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d*x^3-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2*x^2-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^3/d^4*ln(d*x+e)-49/36*b*n*e^3/d^4-1/2*a*e/d^2*x^2-a*e^3/d^4*ln(d*x+e)+1/3*b*ln(c)/d*x^3-1/2*I*b*Pi*csgn(I*c*x^n)^3/d^3*x*e^2+1/6*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d*x^3+1/4*I*b*Pi*csgn(I*c*x^n)^3*e/d^2*x^2+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*x*e^2+1/3*b*ln(x^n)/d*x^3-1/6*I*b*Pi*csgn(I*c*x^n)^3/d*x^3+1/2*I*b*Pi*csgn(I*c*x^n)^3*e^3/d^4*ln(d*x+e)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^3/d^4*ln(d*x+e)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*x*e^2+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2*x^2+a*e^2*x/d^3-b*e^2*n*x/d^3-1/9*b*n*x^3/d+1/4*b*e*n*x^2/d^2","C"
331,1,521,103,0.205000," ","int(x*(b*ln(c*x^n)+a)/(d+e/x),x)","-\frac{b \,e^{2} n \dilog \left(-\frac{d x}{e}\right)}{d^{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)}{4 d}-\frac{i \pi  b e x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{2}}-\frac{b \,e^{2} n \ln \left(-\frac{d x}{e}\right) \ln \left(d x +e \right)}{d^{3}}-\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 d}-\frac{b e x \ln \left(c \right)}{d^{2}}+\frac{b \,e^{2} \ln \left(c \right) \ln \left(d x +e \right)}{d^{3}}+\frac{b \,e^{2} \ln \left(x^{n}\right) \ln \left(d x +e \right)}{d^{3}}-\frac{b e x \ln \left(x^{n}\right)}{d^{2}}+\frac{a \,x^{2}}{2 d}+\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 d^{2}}-\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(d x +e \right)}{2 d^{3}}+\frac{b \,x^{2} \ln \left(x^{n}\right)}{2 d}+\frac{a \,e^{2} \ln \left(d x +e \right)}{d^{3}}+\frac{b \,x^{2} \ln \left(c \right)}{2 d}+\frac{5 b \,e^{2} n}{4 d^{3}}-\frac{i \pi  b e x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d^{2}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 d^{3}}+\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 d^{3}}-\frac{a e x}{d^{2}}+\frac{b e n x}{d^{2}}+\frac{i \pi  b e x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d^{2}}-\frac{i \pi  b \,e^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d x +e \right)}{2 d^{3}}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d}+\frac{i \pi  b \,x^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 d}-\frac{b n \,x^{2}}{4 d}"," ",0,"-b*n*e^2/d^3*ln(d*x+e)*ln(-d/e*x)-b*n*e^2/d^3*dilog(-d/e*x)-b*ln(c)/d^2*x*e+b*ln(c)*e^2/d^3*ln(d*x+e)+b*ln(x^n)*e^2/d^3*ln(d*x+e)-b*ln(x^n)/d^2*x*e+1/2*a/d*x^2+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d*x^2+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e^2/d^3*ln(d*x+e)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2*x*e+1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d*x^2-1/4*I*b*Pi*csgn(I*c*x^n)^3/d*x^2+1/2*I*b*Pi*csgn(I*c*x^n)^3/d^2*x*e-1/2*I*b*Pi*csgn(I*c*x^n)^3*e^2/d^3*ln(d*x+e)+1/2*b*ln(x^n)/d*x^2-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2*x*e+a*e^2/d^3*ln(d*x+e)+1/2*b*ln(c)/d*x^2+5/4*b*n*e^2/d^3-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d*x^2+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e^2/d^3*ln(d*x+e)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e^2/d^3*ln(d*x+e)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2*x*e-a*e*x/d^2+b*e*n*x/d^2-1/4*b*n*x^2/d","C"
332,1,343,69,0.240000," ","int((b*ln(c*x^n)+a)/(d+e/x),x)","-\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 d}+\frac{i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d}+\frac{i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 d}-\frac{i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 d}+\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(d x +e \right)}{2 d^{2}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 d^{2}}-\frac{i \pi  b e \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 d^{2}}+\frac{i \pi  b e \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d x +e \right)}{2 d^{2}}+\frac{b e n \ln \left(-\frac{d x}{e}\right) \ln \left(d x +e \right)}{d^{2}}-\frac{b n x}{d}+\frac{b x \ln \left(c \right)}{d}+\frac{b x \ln \left(x^{n}\right)}{d}+\frac{b e n \dilog \left(-\frac{d x}{e}\right)}{d^{2}}-\frac{b e \ln \left(c \right) \ln \left(d x +e \right)}{d^{2}}-\frac{b e \ln \left(x^{n}\right) \ln \left(d x +e \right)}{d^{2}}+\frac{a x}{d}-\frac{a e \ln \left(d x +e \right)}{d^{2}}-\frac{b e n}{d^{2}}"," ",0,"b*ln(x^n)/d*x-b*ln(x^n)*e/d^2*ln(d*x+e)-b*n*x/d-b*n*e/d^2+b*n*e/d^2*ln(d*x+e)*ln(-d/e*x)+b*n*e/d^2*dilog(-d/e*x)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*e/d^2*ln(d*x+e)-1/2*I*b*Pi*csgn(I*c*x^n)^3/d*x+1/2*I*b*Pi*csgn(I*c*x^n)^3*e/d^2*ln(d*x+e)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*e/d^2*ln(d*x+e)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d*x+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d*x+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d*x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*e/d^2*ln(d*x+e)+b*ln(c)/d*x-b*ln(c)*e/d^2*ln(d*x+e)+a*x/d-a*e/d^2*ln(d*x+e)","C"
333,1,195,39,0.192000," ","int((b*ln(c*x^n)+a)/(d+e/x)/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(d x +e \right)}{2 d}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 d}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 d}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d x +e \right)}{2 d}-\frac{b n \ln \left(-\frac{d x}{e}\right) \ln \left(d x +e \right)}{d}-\frac{b n \dilog \left(-\frac{d x}{e}\right)}{d}+\frac{b \ln \left(c \right) \ln \left(d x +e \right)}{d}+\frac{b \ln \left(x^{n}\right) \ln \left(d x +e \right)}{d}+\frac{a \ln \left(d x +e \right)}{d}"," ",0,"b*ln(d*x+e)/d*ln(x^n)-b/d*n*ln(d*x+e)*ln(-d/e*x)-b/d*n*dilog(-d/e*x)+1/2*I*ln(d*x+e)/d*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*ln(d*x+e)/d*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*ln(d*x+e)/d*b*Pi*csgn(I*c*x^n)^3+1/2*I*ln(d*x+e)/d*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+ln(d*x+e)/d*b*ln(c)+a*ln(d*x+e)/d","C"
334,1,336,44,0.179000," ","int((b*ln(c*x^n)+a)/(d+e/x)/x^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(x \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) \ln \left(d x +e \right)}{2 e}+\frac{i \pi  b \,\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 \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \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(x \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(d x +e \right)}{2 e}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 e}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d x +e \right)}{2 e}-\frac{b n \ln \left(x \right)^{2}}{2 e}+\frac{b n \ln \left(-\frac{d x}{e}\right) \ln \left(d x +e \right)}{e}+\frac{b n \dilog \left(-\frac{d x}{e}\right)}{e}+\frac{b \ln \left(c \right) \ln \left(x \right)}{e}-\frac{b \ln \left(c \right) \ln \left(d x +e \right)}{e}+\frac{b \ln \left(x \right) \ln \left(x^{n}\right)}{e}-\frac{b \ln \left(x^{n}\right) \ln \left(d x +e \right)}{e}+\frac{a \ln \left(x \right)}{e}-\frac{a \ln \left(d x +e \right)}{e}"," ",0,"-b*ln(x^n)/e*ln(d*x+e)+b*ln(x^n)/e*ln(x)-1/2*b*n/e*ln(x)^2+b*n/e*ln(d*x+e)*ln(-d/e*x)+b*n/e*dilog(-d/e*x)+1/2*I*b*Pi*csgn(I*c*x^n)^3/e*ln(d*x+e)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e*ln(x)-1/2*I*b*Pi*csgn(I*c*x^n)^3/e*ln(x)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e*ln(x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e*ln(d*x+e)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e*ln(d*x+e)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e*ln(d*x+e)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e*ln(x)-b*ln(c)/e*ln(d*x+e)+b*ln(c)/e*ln(x)-a/e*ln(d*x+e)+a/e*ln(x)","C"
335,1,504,95,0.200000," ","int((b*ln(c*x^n)+a)/(d+e/x)/x^3,x)","-\frac{b d n \dilog \left(-\frac{d x}{e}\right)}{e^{2}}-\frac{b d \ln \left(x \right) \ln \left(x^{n}\right)}{e^{2}}+\frac{b d \ln \left(x^{n}\right) \ln \left(d x +e \right)}{e^{2}}-\frac{b d \ln \left(c \right) \ln \left(x \right)}{e^{2}}+\frac{b d \ln \left(c \right) \ln \left(d x +e \right)}{e^{2}}+\frac{b d n \ln \left(x \right)^{2}}{2 e^{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 e^{2}}+\frac{i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 e^{2}}+\frac{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 e^{2}}-\frac{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d x +e \right)}{2 e^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e x}-\frac{b \ln \left(x^{n}\right)}{e x}-\frac{b d n \ln \left(-\frac{d x}{e}\right) \ln \left(d x +e \right)}{e^{2}}-\frac{a}{e x}-\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(d x +e \right)}{2 e^{2}}+\frac{a d \ln \left(d x +e \right)}{e^{2}}-\frac{a d \ln \left(x \right)}{e^{2}}-\frac{b \ln \left(c \right)}{e x}-\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 e^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 e x}+\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 e^{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)}{2 e x}+\frac{i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 e^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e x}-\frac{b n}{e x}"," ",0,"-b*ln(x^n)*d/e^2*ln(x)+b*ln(x^n)*d/e^2*ln(d*x+e)-b*ln(c)*d/e^2*ln(x)+b*ln(c)*d/e^2*ln(d*x+e)-b*n*d/e^2*dilog(-d/e*x)+1/2*b*n*d/e^2*ln(x)^2+1/2*I*b*Pi*csgn(I*c*x^n)^3*d/e^2*ln(x)-1/2*I*b*Pi*csgn(I*c*x^n)^3*d/e^2*ln(d*x+e)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d/e^2*ln(x)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d/e^2*ln(d*x+e)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d/e^2*ln(d*x+e)-b*ln(x^n)/e/x-b*n*d/e^2*ln(d*x+e)*ln(-d/e*x)+1/2*I*b*Pi*csgn(I*c*x^n)^3/e/x-a/e/x+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e/x+a*d/e^2*ln(d*x+e)-a*d/e^2*ln(x)-b*ln(c)/e/x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d/e^2*ln(x)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e/x+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d/e^2*ln(x)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e/x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d/e^2*ln(d*x+e)-b*n/e/x","C"
336,1,689,132,0.197000," ","int((b*ln(c*x^n)+a)/(d+e/x)/x^4,x)","\frac{b \,d^{2} \ln \left(c \right) \ln \left(x \right)}{e^{3}}+\frac{b d \ln \left(c \right)}{e^{2} x}-\frac{b \,d^{2} \ln \left(c \right) \ln \left(d x +e \right)}{e^{3}}-\frac{b \,d^{2} n \ln \left(x \right)^{2}}{2 e^{3}}-\frac{a \,d^{2} \ln \left(d x +e \right)}{e^{3}}+\frac{a \,d^{2} \ln \left(x \right)}{e^{3}}+\frac{a d}{e^{2} x}+\frac{b \,d^{2} n \ln \left(-\frac{d x}{e}\right) \ln \left(d x +e \right)}{e^{3}}-\frac{a}{2 e \,x^{2}}-\frac{b \ln \left(c \right)}{2 e \,x^{2}}-\frac{b \ln \left(x^{n}\right)}{2 e \,x^{2}}-\frac{b \,d^{2} \ln \left(x^{n}\right) \ln \left(d x +e \right)}{e^{3}}+\frac{b \,d^{2} \ln \left(x \right) \ln \left(x^{n}\right)}{e^{3}}+\frac{b d \ln \left(x^{n}\right)}{e^{2} x}-\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2 e^{3}}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(d x +e \right)}{2 e^{3}}-\frac{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 e^{2} x}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e \,x^{2}}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 e \,x^{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)}{2 e^{2} x}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 e \,x^{2}}-\frac{i \pi  b \,d^{2} \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^{3}}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(d x +e \right)}{2 e^{3}}+\frac{i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{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)}{4 e \,x^{2}}-\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 e^{3}}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 e^{3}}-\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(d x +e \right)}{2 e^{3}}+\frac{i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 e^{2} x}+\frac{i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2 e^{3}}+\frac{b \,d^{2} n \dilog \left(-\frac{d x}{e}\right)}{e^{3}}-\frac{b n}{4 e \,x^{2}}+\frac{b d n}{e^{2} x}"," ",0,"b*ln(c)*d^2/e^3*ln(x)+b*ln(c)*d/e^2/x-b*ln(c)*d^2/e^3*ln(d*x+e)-1/2*b*n*d^2/e^3*ln(x)^2+b*n*d^2/e^3*dilog(-d/e*x)+1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/e/x^2+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^2/e^3*ln(x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^2/e^3*ln(x)-1/2*I*b*Pi*csgn(I*c*x^n)^3*d^2/e^3*ln(x)+1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d/e^2/x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d^2/e^3*ln(d*x+e)-1/2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)*d^2/e^3*ln(d*x+e)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*d/e^2/x-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^2/e^3*ln(x)+1/4*I*b*Pi*csgn(I*c*x^n)^3/e/x^2-a*d^2/e^3*ln(d*x+e)+a*d^2/e^3*ln(x)+a*d/e^2/x+b*n*d^2/e^3*ln(d*x+e)*ln(-d/e*x)+1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d^2/e^3*ln(d*x+e)-1/2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*d/e^2/x-1/2*a/e/x^2-1/2*b*ln(c)/e/x^2-1/2*b*ln(x^n)/e/x^2+1/2*I*b*Pi*csgn(I*c*x^n)^3*d^2/e^3*ln(d*x+e)-b*ln(x^n)*d^2/e^3*ln(d*x+e)+b*ln(x^n)*d^2/e^3*ln(x)+b*ln(x^n)*d/e^2/x-1/4*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/e/x^2-1/2*I*b*Pi*csgn(I*c*x^n)^3*d/e^2/x-1/4*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/e/x^2-1/4*b*n/e/x^2+b*d*n/e^2/x","C"
337,1,209,158,0.069000," ","int(x^3*(b*ln(c*x)+a)/(d+e/x),x)","\frac{b \,x^{4} \ln \left(c x \right)}{4 d}+\frac{a \,x^{4}}{4 d}-\frac{b \,x^{4}}{16 d}-\frac{b e \,x^{3} \ln \left(c x \right)}{3 d^{2}}-\frac{a e \,x^{3}}{3 d^{2}}+\frac{b e \,x^{3}}{9 d^{2}}+\frac{b \,e^{2} x^{2} \ln \left(c x \right)}{2 d^{3}}+\frac{a \,e^{2} x^{2}}{2 d^{3}}-\frac{b \,e^{2} x^{2}}{4 d^{3}}-\frac{b \,e^{3} x \ln \left(c x \right)}{d^{4}}+\frac{b \,e^{4} \ln \left(c x \right) \ln \left(\frac{c d x +c e}{c e}\right)}{d^{5}}-\frac{a \,e^{3} x}{d^{4}}+\frac{a \,e^{4} \ln \left(c d x +c e \right)}{d^{5}}+\frac{b \,e^{3} x}{d^{4}}+\frac{b \,e^{4} \dilog \left(\frac{c d x +c e}{c e}\right)}{d^{5}}"," ",0,"1/4*a/d*x^4-1/3*a/d^2*e*x^3+1/2*a/d^3*e^2*x^2-a/d^4*e^3*x+a*e^4/d^5*ln(c*d*x+c*e)+1/4*b/d*x^4*ln(c*x)-1/16*b*x^4/d-1/3*b/d^2*e*x^3*ln(c*x)+1/9*b*e*x^3/d^2+1/2*b/d^3*e^2*x^2*ln(c*x)-1/4*b*e^2*x^2/d^3-b*e^3*x*ln(c*x)/d^4+b*e^3*x/d^4+b*e^4/d^5*dilog((c*d*x+c*e)/c/e)+b*e^4/d^5*ln(c*x)*ln((c*d*x+c*e)/c/e)","A"
338,1,171,128,0.046000," ","int(x^2*(b*ln(c*x)+a)/(d+e/x),x)","\frac{b \,x^{3} \ln \left(c x \right)}{3 d}+\frac{a \,x^{3}}{3 d}-\frac{b \,x^{3}}{9 d}-\frac{b e \,x^{2} \ln \left(c x \right)}{2 d^{2}}-\frac{a e \,x^{2}}{2 d^{2}}+\frac{b e \,x^{2}}{4 d^{2}}+\frac{b \,e^{2} x \ln \left(c x \right)}{d^{3}}-\frac{b \,e^{3} \ln \left(c x \right) \ln \left(\frac{c d x +c e}{c e}\right)}{d^{4}}+\frac{a \,e^{2} x}{d^{3}}-\frac{a \,e^{3} \ln \left(c d x +c e \right)}{d^{4}}-\frac{b \,e^{2} x}{d^{3}}-\frac{b \,e^{3} \dilog \left(\frac{c d x +c e}{c e}\right)}{d^{4}}"," ",0,"1/3*a/d*x^3-1/2*a/d^2*e*x^2+a/d^3*e^2*x-a*e^3/d^4*ln(c*d*x+c*e)+1/3*b/d*x^3*ln(c*x)-1/9*b*x^3/d-1/2*b/d^2*e*x^2*ln(c*x)+1/4*b*e*x^2/d^2+b*e^2*x*ln(c*x)/d^3-b*e^2*x/d^3-b*e^3/d^4*dilog((c*d*x+c*e)/c/e)-b*e^3/d^4*ln(c*x)*ln((c*d*x+c*e)/c/e)","A"
339,1,129,94,0.041000," ","int(x*(b*ln(c*x)+a)/(d+e/x),x)","\frac{b \,x^{2} \ln \left(c x \right)}{2 d}+\frac{a \,x^{2}}{2 d}-\frac{b \,x^{2}}{4 d}-\frac{b e x \ln \left(c x \right)}{d^{2}}+\frac{b \,e^{2} \ln \left(c x \right) \ln \left(\frac{c d x +c e}{c e}\right)}{d^{3}}-\frac{a e x}{d^{2}}+\frac{a \,e^{2} \ln \left(c d x +c e \right)}{d^{3}}+\frac{b e x}{d^{2}}+\frac{b \,e^{2} \dilog \left(\frac{c d x +c e}{c e}\right)}{d^{3}}"," ",0,"1/2*a/d*x^2-a/d^2*e*x+a*e^2/d^3*ln(c*d*x+c*e)+1/2*b/d*x^2*ln(c*x)-1/4*b*x^2/d-b*e*x*ln(c*x)/d^2+b*e*x/d^2+b*e^2/d^3*dilog((c*d*x+c*e)/c/e)+b*e^2/d^3*ln(c*x)*ln((c*d*x+c*e)/c/e)","A"
340,1,91,63,0.043000," ","int((b*ln(c*x)+a)/(d+e/x),x)","\frac{b x \ln \left(c x \right)}{d}-\frac{b e \ln \left(c x \right) \ln \left(\frac{c d x +c e}{c e}\right)}{d^{2}}+\frac{a x}{d}-\frac{a e \ln \left(c d x +c e \right)}{d^{2}}-\frac{b x}{d}-\frac{b e \dilog \left(\frac{c d x +c e}{c e}\right)}{d^{2}}"," ",0,"a/d*x-a*e/d^2*ln(c*d*x+c*e)+b*x*ln(c*x)/d-b*x/d-b*e/d^2*dilog((c*d*x+c*e)/c/e)-b*e/d^2*ln(c*x)*ln((c*d*x+c*e)/c/e)","A"
341,1,62,36,0.040000," ","int((b*ln(c*x)+a)/(d+e/x)/x,x)","\frac{b \ln \left(c x \right) \ln \left(\frac{c d x +c e}{c e}\right)}{d}+\frac{a \ln \left(c d x +c e \right)}{d}+\frac{b \dilog \left(\frac{c d x +c e}{c e}\right)}{d}"," ",0,"a*ln(c*d*x+c*e)/d+b*dilog((c*d*x+c*e)/c/e)/d+b*ln(c*x)*ln((c*d*x+c*e)/c/e)/d","A"
342,1,86,41,0.049000," ","int((b*ln(c*x)+a)/(d+e/x)/x^2,x)","\frac{b \ln \left(c x \right)^{2}}{2 e}-\frac{b \ln \left(c x \right) \ln \left(\frac{c d x +c e}{c e}\right)}{e}+\frac{a \ln \left(c x \right)}{e}-\frac{a \ln \left(c d x +c e \right)}{e}-\frac{b \dilog \left(\frac{c d x +c e}{c e}\right)}{e}"," ",0,"a/e*ln(c*x)-a/e*ln(c*d*x+c*e)+1/2*b*ln(c*x)^2/e-b/e*dilog((c*d*x+c*e)/c/e)-b/e*ln(c*x)*ln((c*d*x+c*e)/c/e)","B"
343,1,120,84,0.051000," ","int((b*ln(c*x)+a)/(d+e/x)/x^3,x)","-\frac{b d \ln \left(c x \right)^{2}}{2 e^{2}}+\frac{b d \ln \left(c x \right) \ln \left(\frac{c d x +c e}{c e}\right)}{e^{2}}-\frac{a d \ln \left(c x \right)}{e^{2}}+\frac{a d \ln \left(c d x +c e \right)}{e^{2}}+\frac{b d \dilog \left(\frac{c d x +c e}{c e}\right)}{e^{2}}-\frac{b \ln \left(c x \right)}{e x}-\frac{a}{e x}-\frac{b}{e x}"," ",0,"-a/e/x-a/e^2*d*ln(c*x)+a/e^2*d*ln(c*d*x+c*e)-b/e/x*ln(c*x)-b/e/x-1/2*b*ln(c*x)^2/e^2*d+b/e^2*d*dilog((c*d*x+c*e)/c/e)+b/e^2*d*ln(c*x)*ln((c*d*x+c*e)/c/e)","A"
344,1,163,118,0.053000," ","int((b*ln(c*x)+a)/(d+e/x)/x^4,x)","\frac{b \,d^{2} \ln \left(c x \right)^{2}}{2 e^{3}}-\frac{b \,d^{2} \ln \left(c x \right) \ln \left(\frac{c d x +c e}{c e}\right)}{e^{3}}+\frac{a \,d^{2} \ln \left(c x \right)}{e^{3}}-\frac{a \,d^{2} \ln \left(c d x +c e \right)}{e^{3}}-\frac{b \,d^{2} \dilog \left(\frac{c d x +c e}{c e}\right)}{e^{3}}+\frac{b d \ln \left(c x \right)}{e^{2} x}+\frac{a d}{e^{2} x}+\frac{b d}{e^{2} x}-\frac{b \ln \left(c x \right)}{2 e \,x^{2}}-\frac{a}{2 e \,x^{2}}-\frac{b}{4 e \,x^{2}}"," ",0,"-1/2*a/e/x^2+a/e^3*d^2*ln(c*x)+a*d/e^2/x-a/e^3*d^2*ln(c*d*x+c*e)+b/e^2*d/x*ln(c*x)+b*d/e^2/x-1/2*b/e/x^2*ln(c*x)-1/4*b/e/x^2+1/2*b*ln(c*x)^2/e^3*d^2-b/e^3*d^2*dilog((c*d*x+c*e)/c/e)-b/e^3*d^2*ln(c*x)*ln((c*d*x+c*e)/c/e)","A"
345,1,14,17,0.040000," ","int(x^(n-1)*ln(e*x^n)/(1-e*x^n),x)","\frac{\dilog \left(e \,x^{n}\right)}{e n}"," ",0,"1/e/n*dilog(e*x^n)","A"
346,1,13,16,0.042000," ","int(x^(n-1)*ln(x^n/d)/(d-x^n),x)","\frac{\dilog \left(\frac{x^{n}}{d}\right)}{n}"," ",0,"1/n*dilog(x^n/d)","A"
347,1,19,20,0.039000," ","int(x^(n-1)*ln(-e*x^n/d)/(d+e*x^n),x)","-\frac{\dilog \left(-\frac{e \,x^{n}}{d}\right)}{e n}"," ",0,"-1/n/e*dilog(-e*x^n/d)","A"
348,1,11,14,0.039000," ","int(ln(a/x)/(a*x-x^2),x)","\frac{\dilog \left(\frac{a}{x}\right)}{a}"," ",0,"1/a*dilog(a/x)","A"
349,1,12,15,0.043000," ","int(ln(a/x^2)/(-x^3+a*x),x)","\frac{\dilog \left(\frac{a}{x^{2}}\right)}{2 a}"," ",0,"1/2/a*dilog(a/x^2)","A"
350,0,0,26,0.931000," ","int(ln(a*x^(-n+1))/(a*x-x^n),x)","\int \frac{\ln \left(a \,x^{-n +1}\right)}{a x -x^{n}}\, dx"," ",0,"int(ln(a*x^(-n+1))/(a*x-x^n),x)","F"
351,1,806,161,0.317000," ","int((f*x)^(m-1)*(d+e*x^m)^3*(b*ln(c*x^n)+a),x)","\frac{\left(6 d^{2} e \,x^{m}+4 d \,e^{2} x^{2 m}+e^{3} x^{3 m}+4 d^{3}\right) b x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}} \ln \left(x^{n}\right)}{4 m}+\frac{\left(-48 b \,d^{3} n -3 b \,e^{3} n \,x^{3 m}+12 a \,e^{3} m \,x^{3 m}+48 a \,d^{3} m +72 b \,d^{2} e m \,x^{m} \ln \left(c \right)+48 b \,d^{3} m \ln \left(c \right)-6 i \pi  b \,e^{3} m \,x^{3 m} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+24 i \pi  b \,d^{3} m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+24 i \pi  b \,d^{3} m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  b \,d^{2} e m \,x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  b \,d^{2} e m \,x^{m} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+24 i \pi  b d \,e^{2} m \,x^{2 m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+24 i \pi  b d \,e^{2} m \,x^{2 m} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 i \pi  b \,e^{3} m \,x^{3 m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+48 a d \,e^{2} m \,x^{2 m}-16 b d \,e^{2} n \,x^{2 m}+12 b \,e^{3} m \,x^{3 m} \ln \left(c \right)+72 a \,d^{2} e m \,x^{m}-36 b \,d^{2} e n \,x^{m}-24 i \pi  b \,d^{3} m \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+48 b d \,e^{2} m \,x^{2 m} \ln \left(c \right)-36 i \pi  b \,d^{2} e m \,x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-24 i \pi  b d \,e^{2} m \,x^{2 m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-36 i \pi  b \,d^{2} e m \,x^{m} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-24 i \pi  b d \,e^{2} m \,x^{2 m} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 i \pi  b \,e^{3} m \,x^{3 m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b \,e^{3} m \,x^{3 m} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-24 i \pi  b \,d^{3} m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)\right) x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}}}{48 m^{2}}"," ",0,"1/4*b*(e^3*(x^m)^3+4*d*e^2*(x^m)^2+6*d^2*e*x^m+4*d^3)*x/m*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))*ln(x^n)+1/48*(-48*b*d^3*n+48*a*d^3*m-3*b*e^3*n*(x^m)^3+12*a*e^3*(x^m)^3*m-24*I*Pi*b*d^3*m*csgn(I*c*x^n)^3+6*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^3*m+6*I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^3*m-24*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^m)^2*m+72*ln(c)*b*d^2*e*x^m*m+48*ln(c)*b*d*e^2*(x^m)^2*m-36*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^m*m-24*I*Pi*b*d^3*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+48*ln(c)*b*d^3*m-6*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^3*m+24*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2*m+24*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)*m+36*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^m*m+36*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^m*m+48*a*d*e^2*(x^m)^2*m-24*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^2*m-36*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^m*m+72*a*d^2*e*x^m*m-16*b*d*e^2*n*(x^m)^2-36*b*d^2*e*n*x^m+12*ln(c)*b*e^3*(x^m)^3*m+24*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^2*m+24*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^2*m-6*I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^m)^3*m)*x/m^2*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))","C"
352,1,616,134,0.254000," ","int((f*x)^(m-1)*(d+e*x^m)^2*(b*ln(c*x^n)+a),x)","\frac{\left(3 d e \,x^{m}+e^{2} x^{2 m}+3 d^{2}\right) b x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}} \ln \left(x^{n}\right)}{3 m}+\frac{\left(-9 i \pi  b d e m \,x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+9 i \pi  b d e m \,x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  b d e m \,x^{m} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  b d e m \,x^{m} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-3 i \pi  b \,e^{2} m \,x^{2 m} \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 \,e^{2} m \,x^{2 m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,e^{2} m \,x^{2 m} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \,e^{2} m \,x^{2 m} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-9 i \pi  b \,d^{2} m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+9 i \pi  b \,d^{2} m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  b \,d^{2} m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  b \,d^{2} m \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+18 b d e m \,x^{m} \ln \left(c \right)+6 b \,e^{2} m \,x^{2 m} \ln \left(c \right)+18 a d e m \,x^{m}+6 a \,e^{2} m \,x^{2 m}+18 b \,d^{2} m \ln \left(c \right)-9 b d e n \,x^{m}-2 b \,e^{2} n \,x^{2 m}+18 a \,d^{2} m -18 b \,d^{2} n \right) x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}}}{18 m^{2}}"," ",0,"1/3*b*(e^2*(x^m)^2+3*d*e*x^m+3*d^2)*x/m*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))*ln(x^n)+1/18*(9*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^m*m+9*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*m+9*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)*m-9*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^m*m+9*I*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^m*m-3*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^2*m+3*I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^2*m-9*I*Pi*b*d*e*csgn(I*c*x^n)^3*x^m*m+3*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^2*m-9*I*Pi*b*d^2*csgn(I*c*x^n)^3*m-9*I*Pi*b*d^2*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^m)^2*m+6*ln(c)*b*e^2*(x^m)^2*m+18*ln(c)*b*d*e*x^m*m+6*a*e^2*(x^m)^2*m-2*b*e^2*n*(x^m)^2+18*b*d^2*m*ln(c)+18*a*d*e*x^m*m-9*b*d*e*n*x^m+18*a*d^2*m-18*b*d^2*n)*x/m^2*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))","C"
353,1,426,86,0.226000," ","int((f*x)^(m-1)*(d+e*x^m)*(b*ln(c*x^n)+a),x)","\frac{\left(e \,x^{m}+2 d \right) b x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}} \ln \left(x^{n}\right)}{2 m}+\frac{\left(-i \pi  b e m \,x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b e m \,x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e m \,x^{m} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e m \,x^{m} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 i \pi  b d m \,\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 d m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b d m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d m \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b e m \,x^{m} \ln \left(c \right)+2 a e m \,x^{m}+4 b d m \ln \left(c \right)-b e n \,x^{m}+4 a d m -4 b d n \right) x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}}}{4 m^{2}}"," ",0,"1/2*b*(e*x^m+2*d)*x/m*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))*ln(x^n)+1/4*(I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^m*m-I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^m*m-I*Pi*b*e*csgn(I*c*x^n)^3*x^m*m+I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^m*m+2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*m-2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*m-2*I*Pi*b*d*csgn(I*c*x^n)^3*m+2*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)*m+2*ln(c)*b*e*x^m*m+4*b*d*m*ln(c)+2*x^m*a*e*m-x^m*b*e*n+4*a*d*m-4*b*d*n)*x/m^2*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))","C"
354,1,281,38,0.158000," ","int((f*x)^(m-1)*(b*ln(c*x^n)+a),x)","\frac{b x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}} \ln \left(x^{n}\right)}{m}+\frac{\left(-i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b m \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b m \ln \left(c \right)+2 a m -2 b n \right) x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}}}{2 m^{2}}"," ",0,"b/m*x*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))*ln(x^n)+1/2*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*m-I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*m-I*Pi*b*csgn(I*c*x^n)^3*m+I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*m+2*b*m*ln(c)+2*a*m-2*b*n)/m^2*x*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))","C"
355,0,0,77,1.058000," ","int((f*x)^(m-1)*(b*ln(c*x^n)+a)/(d+e*x^m),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \left(f x \right)^{m -1}}{e \,x^{m}+d}\, dx"," ",0,"int((f*x)^(m-1)*(b*ln(c*x^n)+a)/(d+e*x^m),x)","F"
356,0,0,69,1.266000," ","int((f*x)^(m-1)*(b*ln(c*x^n)+a)/(e*x^m+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \left(f x \right)^{m -1}}{\left(e \,x^{m}+d \right)^{2}}\, dx"," ",0,"int((f*x)^(m-1)*(b*ln(c*x^n)+a)/(e*x^m+d)^2,x)","F"
357,0,0,142,1.245000," ","int((f*x)^(m-1)*(b*ln(c*x^n)+a)/(e*x^m+d)^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \left(f x \right)^{m -1}}{\left(e \,x^{m}+d \right)^{3}}\, dx"," ",0,"int((f*x)^(m-1)*(b*ln(c*x^n)+a)/(e*x^m+d)^3,x)","F"
358,0,0,178,1.089000," ","int((f*x)^(m-1)*(b*ln(c*x^n)+a)/(e*x^m+d)^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \left(f x \right)^{m -1}}{\left(e \,x^{m}+d \right)^{4}}\, dx"," ",0,"int((f*x)^(m-1)*(b*ln(c*x^n)+a)/(e*x^m+d)^4,x)","F"
359,1,4156,354,0.714000," ","int((f*x)^(m-1)*(e*x^m+d)^3*(b*ln(c*x^n)+a)^2,x)","\text{output too large to display}"," ",0,"1/4*b^2*(e^3*(x^m)^3+4*d*e^2*(x^m)^2+6*d^2*e*x^m+4*d^3)*x/m*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))*ln(x^n)^2+1/24*b*(-48*b*d^3*n+48*a*d^3*m-3*b*e^3*n*(x^m)^3+12*a*e^3*(x^m)^3*m-24*I*Pi*b*d^3*m*csgn(I*c*x^n)^3+6*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^3*m+6*I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^3*m-24*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^m)^2*m+72*b*d^2*e*m*x^m*ln(c)+48*ln(c)*b*d*e^2*(x^m)^2*m-36*I*Pi*b*d^2*e*m*x^m*csgn(I*c*x^n)^3-24*I*Pi*b*d^3*m*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+48*b*d^3*m*ln(c)-6*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^3*m+24*I*Pi*b*d^3*m*csgn(I*x^n)*csgn(I*c*x^n)^2+24*I*Pi*b*d^3*m*csgn(I*c)*csgn(I*c*x^n)^2+36*I*Pi*b*d^2*e*m*x^m*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*Pi*b*d^2*e*m*x^m*csgn(I*c)*csgn(I*c*x^n)^2+48*a*d*e^2*(x^m)^2*m-24*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^2*m-36*I*Pi*b*d^2*e*m*x^m*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+72*a*d^2*e*m*x^m-16*b*d*e^2*n*(x^m)^2-36*b*d^2*e*n*x^m+12*ln(c)*b*e^3*(x^m)^3*m+24*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^2*m+24*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^2*m-6*I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^m)^3*m)*x/m^2*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))*ln(x^n)+1/288*(576*b^2*d^3*n^2-18*Pi^2*b^2*e^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*(x^m)^3*m^2-108*Pi^2*b^2*d^2*e*csgn(I*c*x^n)^6*x^m*m^2+144*Pi^2*b^2*d^3*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*m^2-72*Pi^2*b^2*d^3*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*m^2-288*Pi^2*b^2*d^3*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*m^2+288*a^2*d^3*m^2+18*I*Pi*b^2*e^3*m*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^3+432*I*Pi*ln(c)*b^2*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^m*m^2+432*I*Pi*ln(c)*b^2*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^m*m^2+288*I*Pi*a*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^2*m^2-288*I*Pi*a*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*m^2+144*Pi^2*b^2*d^3*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*m^2+36*Pi^2*b^2*e^3*csgn(I*x^n)*csgn(I*c*x^n)^5*(x^m)^3*m^2+36*Pi^2*b^2*e^3*csgn(I*c*x^n)^5*csgn(I*c)*(x^m)^3*m^2-18*Pi^2*b^2*e^3*csgn(I*c*x^n)^4*csgn(I*c)^2*(x^m)^3*m^2-72*Pi^2*b^2*d*e^2*csgn(I*c*x^n)^6*(x^m)^2*m^2+432*a^2*d^2*e*x^m*m^2+72*ln(c)^2*b^2*e^3*(x^m)^3*m^2+64*b^2*d*e^2*n^2*(x^m)^2+216*b^2*d^2*e*n^2*x^m+288*a^2*d*e^2*(x^m)^2*m^2-72*I*Pi*a*b*e^3*csgn(I*c*x^n)^3*(x^m)^3*m^2+18*I*Pi*b^2*e^3*m*n*csgn(I*c*x^n)^3*(x^m)^3+144*Pi^2*b^2*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^5*(x^m)^2*m^2+144*Pi^2*b^2*d*e^2*csgn(I*c*x^n)^5*csgn(I*c)*(x^m)^2*m^2-72*Pi^2*b^2*d*e^2*csgn(I*c*x^n)^4*csgn(I*c)^2*(x^m)^2*m^2+9*b^2*e^3*n^2*(x^m)^3+72*a^2*e^3*(x^m)^3*m^2+288*ln(c)^2*b^2*d^3*m^2+288*I*Pi*ln(c)*b^2*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2*m^2+288*I*Pi*ln(c)*b^2*d^3*csgn(I*c*x^n)^2*csgn(I*c)*m^2-108*Pi^2*b^2*d^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^4*x^m*m^2+216*Pi^2*b^2*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^5*x^m*m^2+216*Pi^2*b^2*d^2*e*csgn(I*c*x^n)^5*csgn(I*c)*x^m*m^2-108*Pi^2*b^2*d^2*e*csgn(I*c*x^n)^4*csgn(I*c)^2*x^m*m^2+144*Pi^2*b^2*d*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*(x^m)^2*m^2-72*Pi^2*b^2*d*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*(x^m)^2*m^2-288*Pi^2*b^2*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*(x^m)^2*m^2+144*Pi^2*b^2*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*(x^m)^2*m^2+216*Pi^2*b^2*d^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*x^m*m^2+216*Pi^2*b^2*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*x^m*m^2+72*I*Pi*ln(c)*b^2*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^3*m^2+576*ln(c)*a*b*d^3*m^2-576*ln(c)*b^2*d^3*m*n+432*ln(c)^2*b^2*d^2*e*x^m*m^2-36*a*b*e^3*m*n*(x^m)^3+96*I*Pi*b^2*d*e^2*m*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^2-432*I*Pi*a*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^m*m^2+216*I*Pi*b^2*d^2*e*m*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^m-288*I*Pi*ln(c)*b^2*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^2*m^2-432*I*Pi*ln(c)*b^2*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^m*m^2-288*I*Pi*a*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^2*m^2-72*I*Pi*ln(c)*b^2*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^3*m^2+288*I*Pi*ln(c)*b^2*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^2*m^2+288*I*Pi*ln(c)*b^2*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^2*m^2-576*a*b*d^3*m*n+144*Pi^2*b^2*d^3*csgn(I*x^n)*csgn(I*c*x^n)^5*m^2+144*Pi^2*b^2*d^3*csgn(I*c*x^n)^5*csgn(I*c)*m^2-72*Pi^2*b^2*d^3*csgn(I*c*x^n)^4*csgn(I*c)^2*m^2-18*Pi^2*b^2*e^3*csgn(I*c*x^n)^6*(x^m)^3*m^2-36*ln(c)*b^2*e^3*m*n*(x^m)^3+288*ln(c)^2*b^2*d*e^2*(x^m)^2*m^2+144*ln(c)*a*b*e^3*(x^m)^3*m^2+864*ln(c)*a*b*d^2*e*x^m*m^2-192*ln(c)*b^2*d*e^2*m*n*(x^m)^2-432*ln(c)*b^2*d^2*e*m*n*x^m+576*ln(c)*a*b*d*e^2*(x^m)^2*m^2-192*a*b*d*e^2*m*n*(x^m)^2-432*a*b*d^2*e*m*n*x^m+72*I*Pi*ln(c)*b^2*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^3*m^2-288*I*Pi*ln(c)*b^2*d*e^2*csgn(I*c*x^n)^3*(x^m)^2*m^2+72*I*Pi*a*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^3*m^2+72*I*Pi*a*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^3*m^2+96*I*Pi*b^2*d*e^2*m*n*csgn(I*c*x^n)^3*(x^m)^2-432*I*Pi*a*b*d^2*e*csgn(I*c*x^n)^3*x^m*m^2+216*I*Pi*b^2*d^2*e*m*n*csgn(I*c*x^n)^3*x^m-18*I*Pi*b^2*e^3*m*n*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^3-18*I*Pi*b^2*e^3*m*n*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^3-432*I*Pi*ln(c)*b^2*d^2*e*csgn(I*c*x^n)^3*x^m*m^2-288*I*Pi*a*b*d*e^2*csgn(I*c*x^n)^3*(x^m)^2*m^2+288*I*Pi*a*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2*m^2+288*I*Pi*a*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)*m^2-288*I*Pi*b^2*d^3*m*n*csgn(I*x^n)*csgn(I*c*x^n)^2-288*I*Pi*b^2*d^3*m*n*csgn(I*c*x^n)^2*csgn(I*c)+288*I*Pi*a*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^2*m^2-96*I*Pi*b^2*d*e^2*m*n*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^2-96*I*Pi*b^2*d*e^2*m*n*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^2+432*I*Pi*a*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^m*m^2+432*I*Pi*a*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^m*m^2-216*I*Pi*b^2*d^2*e*m*n*csgn(I*x^n)*csgn(I*c*x^n)^2*x^m-216*I*Pi*b^2*d^2*e*m*n*csgn(I*c*x^n)^2*csgn(I*c)*x^m-72*Pi^2*b^2*d^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*m^2-72*I*Pi*a*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^3*m^2+36*Pi^2*b^2*e^3*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*(x^m)^3*m^2-18*Pi^2*b^2*e^3*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*(x^m)^3*m^2-72*Pi^2*b^2*e^3*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*(x^m)^3*m^2+36*Pi^2*b^2*e^3*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*(x^m)^3*m^2-72*Pi^2*b^2*d*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4*(x^m)^2*m^2-72*I*Pi*ln(c)*b^2*e^3*csgn(I*c*x^n)^3*(x^m)^3*m^2-288*I*Pi*ln(c)*b^2*d^3*csgn(I*c*x^n)^3*m^2-288*I*Pi*a*b*d^3*csgn(I*c*x^n)^3*m^2+288*I*Pi*b^2*d^3*m*n*csgn(I*c*x^n)^3-72*Pi^2*b^2*d^3*csgn(I*c*x^n)^6*m^2-108*Pi^2*b^2*d^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*x^m*m^2-432*Pi^2*b^2*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*x^m*m^2+288*I*Pi*b^2*d^3*m*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-288*I*Pi*ln(c)*b^2*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*m^2)*x/m^3*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))","C"
360,1,3038,286,0.510000," ","int((f*x)^(m-1)*(e*x^m+d)^2*(b*ln(c*x^n)+a)^2,x)","\text{output too large to display}"," ",0,"1/3*b^2*(e^2*(x^m)^2+3*d*e*x^m+3*d^2)*x/m*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))*ln(x^n)^2+1/9*b*(9*I*Pi*b*d*e*m*x^m*csgn(I*x^n)*csgn(I*c*x^n)^2+9*I*Pi*b*d^2*m*csgn(I*x^n)*csgn(I*c*x^n)^2+9*I*Pi*b*d^2*m*csgn(I*c)*csgn(I*c*x^n)^2-9*I*Pi*b*d*e*m*x^m*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+9*I*Pi*b*d*e*m*x^m*csgn(I*c)*csgn(I*c*x^n)^2-3*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^2*m+3*I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^2*m-9*I*Pi*b*d*e*m*x^m*csgn(I*c*x^n)^3+3*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^2*m-9*I*Pi*b*d^2*m*csgn(I*c*x^n)^3-9*I*Pi*b*d^2*m*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-3*I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^m)^2*m+6*ln(c)*b*e^2*(x^m)^2*m+18*b*d*e*m*x^m*ln(c)+6*a*e^2*(x^m)^2*m-2*b*e^2*n*(x^m)^2+18*b*d^2*m*ln(c)+18*a*d*e*m*x^m-9*b*d*e*n*x^m+18*a*d^2*m-18*b*d^2*n)*x/m^2*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))*ln(x^n)+1/108*(8*b^2*e^2*n^2*(x^m)^2+36*a^2*e^2*(x^m)^2*m^2+108*a^2*d^2*m^2+216*b^2*d^2*n^2+54*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*m^2-108*I*Pi*ln(c)*b^2*d^2*csgn(I*c*x^n)^3*m^2+54*I*Pi*b^2*d*e*m*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^m-108*I*Pi*ln(c)*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^m*m^2-108*I*Pi*a*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^m*m^2+216*ln(c)*a*b*d^2*m^2-216*ln(c)*b^2*d^2*m*n+36*ln(c)^2*b^2*e^2*(x^m)^2*m^2+108*a^2*d*e*x^m*m^2+54*b^2*d*e*n^2*x^m+108*ln(c)^2*b^2*d^2*m^2+12*I*Pi*b^2*e^2*m*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^2+108*I*Pi*a*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^m*m^2+108*I*Pi*a*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^m*m^2+54*Pi^2*b^2*d^2*csgn(I*c*x^n)^5*csgn(I*c)*m^2-27*Pi^2*b^2*d^2*csgn(I*c*x^n)^4*csgn(I*c)^2*m^2-9*Pi^2*b^2*e^2*csgn(I*c*x^n)^6*(x^m)^2*m^2+54*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*m^2-9*Pi^2*b^2*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4*(x^m)^2*m^2+216*ln(c)*a*b*d*e*x^m*m^2-108*ln(c)*b^2*d*e*m*n*x^m-108*a*b*d*e*m*n*x^m-27*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*m^2-108*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*m^2-27*Pi^2*b^2*d^2*csgn(I*c*x^n)^6*m^2-24*a*b*e^2*m*n*(x^m)^2-24*ln(c)*b^2*e^2*m*n*(x^m)^2+108*ln(c)^2*b^2*d*e*x^m*m^2+72*ln(c)*a*b*e^2*(x^m)^2*m^2-27*Pi^2*b^2*d^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4*m^2+54*Pi^2*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^5*m^2-54*I*Pi*b^2*d*e*m*n*csgn(I*x^n)*csgn(I*c*x^n)^2*x^m-54*I*Pi*b^2*d*e*m*n*csgn(I*c*x^n)^2*csgn(I*c)*x^m-36*I*Pi*ln(c)*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^2*m^2+108*I*Pi*ln(c)*b^2*d^2*csgn(I*c*x^n)^2*csgn(I*c)*m^2+108*I*Pi*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*m^2-216*a*b*d^2*m*n-108*I*Pi*ln(c)*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*m^2-108*I*Pi*a*b*d*e*csgn(I*c*x^n)^3*x^m*m^2+54*I*Pi*b^2*d*e*m*n*csgn(I*c*x^n)^3*x^m+108*I*Pi*ln(c)*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^m*m^2+108*I*Pi*ln(c)*b^2*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^m*m^2-36*I*Pi*a*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^m)^2*m^2+54*Pi^2*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)^5*x^m*m^2-108*I*Pi*a*b*d^2*csgn(I*c*x^n)^3*m^2+108*I*Pi*b^2*d^2*m*n*csgn(I*c*x^n)^3+18*Pi^2*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)^5*(x^m)^2*m^2+18*Pi^2*b^2*e^2*csgn(I*c*x^n)^5*csgn(I*c)*(x^m)^2*m^2-9*Pi^2*b^2*e^2*csgn(I*c*x^n)^4*csgn(I*c)^2*(x^m)^2*m^2-27*Pi^2*b^2*d*e*csgn(I*c*x^n)^6*x^m*m^2+54*Pi^2*b^2*d*e*csgn(I*c*x^n)^5*csgn(I*c)*x^m*m^2-27*Pi^2*b^2*d*e*csgn(I*c*x^n)^4*csgn(I*c)^2*x^m*m^2+18*Pi^2*b^2*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*(x^m)^2*m^2-9*Pi^2*b^2*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*(x^m)^2*m^2-36*Pi^2*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*(x^m)^2*m^2+108*I*Pi*ln(c)*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*m^2+36*I*Pi*a*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^2*m^2+36*I*Pi*a*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^2*m^2-12*I*Pi*b^2*e^2*m*n*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^2-12*I*Pi*b^2*e^2*m*n*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^2+12*I*Pi*b^2*e^2*m*n*csgn(I*c*x^n)^3*(x^m)^2+18*Pi^2*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*(x^m)^2*m^2-27*Pi^2*b^2*d*e*csgn(I*x^n)^2*csgn(I*c*x^n)^4*x^m*m^2+108*I*Pi*b^2*d^2*m*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+36*I*Pi*ln(c)*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^m)^2*m^2+36*I*Pi*ln(c)*b^2*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^m)^2*m^2-108*I*Pi*ln(c)*b^2*d*e*csgn(I*c*x^n)^3*x^m*m^2+54*Pi^2*b^2*d*e*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*x^m*m^2-27*Pi^2*b^2*d*e*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*x^m*m^2-108*Pi^2*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*x^m*m^2+54*Pi^2*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*x^m*m^2-108*I*Pi*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*m^2+108*I*Pi*a*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)*m^2-108*I*Pi*b^2*d^2*m*n*csgn(I*x^n)*csgn(I*c*x^n)^2-108*I*Pi*b^2*d^2*m*n*csgn(I*c*x^n)^2*csgn(I*c)-36*I*Pi*ln(c)*b^2*e^2*csgn(I*c*x^n)^3*(x^m)^2*m^2-36*I*Pi*a*b*e^2*csgn(I*c*x^n)^3*(x^m)^2*m^2)*x/m^3*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))","C"
361,1,1920,218,0.381000," ","int((f*x)^(m-1)*(e*x^m+d)*(b*ln(c*x^n)+a)^2,x)","\frac{\left(e \,x^{m}+2 d \right) b^{2} x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}} \ln \left(x^{n}\right)^{2}}{2 m}+\frac{\left(-i \pi  b e m \,x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b e m \,x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e m \,x^{m} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e m \,x^{m} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 i \pi  b d m \,\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 d m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b d m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d m \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b e m \,x^{m} \ln \left(c \right)+2 a e m \,x^{m}+4 b d m \ln \left(c \right)-b e n \,x^{m}+4 a d m -4 b d n \right) b x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}} \ln \left(x^{n}\right)}{2 m^{2}}+\frac{\left(8 a^{2} d \,m^{2}+4 a^{2} e \,m^{2} x^{m}+2 b^{2} e \,n^{2} x^{m}+16 b^{2} d \,n^{2}+8 b^{2} d \,m^{2} \ln \left(c \right)^{2}+4 i \pi  \,b^{2} e \,m^{2} x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  \,b^{2} e \,m^{2} x^{m} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)-4 i \pi  a b e \,m^{2} x^{m} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+8 i \pi  \,b^{2} d \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+8 i \pi  \,b^{2} d \,m^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+2 i \pi  \,b^{2} e m n \,x^{m} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+8 i \pi  a b d \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  a b d \,m^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-8 i \pi  \,b^{2} d m n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-8 i \pi  \,b^{2} d m n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  a b e \,m^{2} x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  a b e \,m^{2} x^{m} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-8 i \pi  \,b^{2} d \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-16 a b d m n -\pi^{2} b^{2} e \,m^{2} x^{m} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 \pi^{2} b^{2} e \,m^{2} x^{m} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 \pi^{2} b^{2} e \,m^{2} x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 \pi^{2} b^{2} e \,m^{2} x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-4 i \pi  \,b^{2} e \,m^{2} x^{m} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)+4 b^{2} e \,m^{2} x^{m} \ln \left(c \right)^{2}-16 b^{2} d m n \ln \left(c \right)+16 a b d \,m^{2} \ln \left(c \right)-\pi^{2} b^{2} e \,m^{2} x^{m} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-2 \pi^{2} b^{2} d \,m^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+4 \pi^{2} b^{2} d \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-2 \pi^{2} b^{2} d \,m^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+4 \pi^{2} b^{2} d \,m^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-2 \pi^{2} b^{2} d \,m^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-2 i \pi  \,b^{2} e m n \,x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  \,b^{2} e m n \,x^{m} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-8 i \pi  a b d \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+8 i \pi  \,b^{2} d m n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-\pi^{2} b^{2} e \,m^{2} x^{m} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} e \,m^{2} x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-\pi^{2} b^{2} e \,m^{2} x^{m} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} e \,m^{2} x^{m} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-2 \pi^{2} b^{2} d \,m^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 \pi^{2} b^{2} d \,m^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 \pi^{2} b^{2} d \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-8 \pi^{2} b^{2} d \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-8 i \pi  \,b^{2} d \,m^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-8 i \pi  a b d \,m^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+8 i \pi  \,b^{2} d m n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 i \pi  \,b^{2} e m n \,x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 i \pi  \,b^{2} e \,m^{2} x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-4 i \pi  a b e \,m^{2} x^{m} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+8 a b e \,m^{2} x^{m} \ln \left(c \right)-4 b^{2} e m n \,x^{m} \ln \left(c \right)-4 a b e m n \,x^{m}\right) x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}}}{8 m^{3}}"," ",0,"1/2*b^2*(e*x^m+2*d)*x/m*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))*ln(x^n)^2+1/2*b*(-I*Pi*b*e*m*x^m*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*b*e*m*x^m*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*b*e*m*x^m*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*e*m*x^m*csgn(I*c*x^n)^3-2*I*Pi*b*d*m*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+2*I*Pi*b*d*m*csgn(I*c)*csgn(I*c*x^n)^2+2*I*Pi*b*d*m*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*d*m*csgn(I*c*x^n)^3+2*b*e*m*x^m*ln(c)+2*a*e*m*x^m+4*b*d*m*ln(c)-b*e*n*x^m+4*a*d*m-4*b*d*n)*x/m^2*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))*ln(x^n)+1/8*(8*a^2*d*m^2+4*a^2*e*x^m*m^2+2*b^2*e*n^2*x^m+16*b^2*d*n^2+8*ln(c)^2*b^2*d*m^2+8*I*Pi*b^2*d*m*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4*I*Pi*ln(c)*b^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^m*m^2-8*I*Pi*b^2*d*m*n*csgn(I*c*x^n)^2*csgn(I*c)+2*Pi^2*b^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*x^m*m^2-Pi^2*b^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*x^m*m^2-4*Pi^2*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*x^m*m^2+2*Pi^2*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*x^m*m^2-16*a*b*d*m*n-4*I*Pi*ln(c)*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^m*m^2-8*I*Pi*ln(c)*b^2*d*csgn(I*c*x^n)^3*m^2-8*I*Pi*a*b*d*csgn(I*c*x^n)^3*m^2+8*I*Pi*b^2*d*m*n*csgn(I*c*x^n)^3+4*I*Pi*a*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^m*m^2+4*I*Pi*a*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^m*m^2+8*I*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*m^2+8*I*Pi*a*b*d*csgn(I*c*x^n)^2*csgn(I*c)*m^2-8*I*Pi*b^2*d*m*n*csgn(I*x^n)*csgn(I*c*x^n)^2-2*Pi^2*b^2*d*csgn(I*c*x^n)^6*m^2+4*ln(c)^2*b^2*e*x^m*m^2-16*ln(c)*b^2*d*m*n+16*ln(c)*a*b*d*m^2-Pi^2*b^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^4*x^m*m^2+2*Pi^2*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)^5*x^m*m^2-8*I*Pi*ln(c)*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*m^2-8*I*Pi*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*m^2-2*I*Pi*b^2*e*m*n*csgn(I*x^n)*csgn(I*c*x^n)^2*x^m-2*I*Pi*b^2*e*m*n*csgn(I*c*x^n)^2*csgn(I*c)*x^m+4*I*Pi*ln(c)*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^m*m^2-4*I*Pi*a*b*e*csgn(I*c*x^n)^3*x^m*m^2+2*I*Pi*b^2*e*m*n*csgn(I*c*x^n)^3*x^m+8*I*Pi*ln(c)*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^2*m^2+8*I*Pi*ln(c)*b^2*d*csgn(I*c*x^n)^2*csgn(I*c)*m^2-4*I*Pi*a*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^m*m^2+2*I*Pi*b^2*e*m*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^m-4*I*Pi*ln(c)*b^2*e*csgn(I*c*x^n)^3*x^m*m^2+2*Pi^2*b^2*e*csgn(I*c*x^n)^5*csgn(I*c)*x^m*m^2-Pi^2*b^2*e*csgn(I*c*x^n)^4*csgn(I*c)^2*x^m*m^2+8*ln(c)*a*b*e*x^m*m^2-4*ln(c)*b^2*e*m*n*x^m-4*a*b*e*m*n*x^m-2*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^4*m^2+4*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^5*m^2+4*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*m^2-2*Pi^2*b^2*d*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*m^2-8*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*m^2+4*Pi^2*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*m^2+4*Pi^2*b^2*d*csgn(I*c*x^n)^5*csgn(I*c)*m^2-2*Pi^2*b^2*d*csgn(I*c*x^n)^4*csgn(I*c)^2*m^2-Pi^2*b^2*e*csgn(I*c*x^n)^6*x^m*m^2)*x/m^3*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))","C"
362,1,1008,69,0.230000," ","int((f*x)^(m-1)*(b*ln(c*x^n)+a)^2,x)","\frac{b^{2} x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}} \ln \left(x^{n}\right)^{2}}{m}+\frac{\left(-i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b m \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b m \ln \left(c \right)+2 a m -2 b n \right) b x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}} \ln \left(x^{n}\right)}{m^{2}}+\frac{\left(4 b^{2} m^{2} \ln \left(c \right)^{2}-\pi^{2} b^{2} m^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}+8 b^{2} n^{2}-8 a b m n +4 a^{2} m^{2}-\pi^{2} b^{2} m^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 \pi^{2} b^{2} m^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 \pi^{2} b^{2} m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 \pi^{2} b^{2} m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-4 i \pi  \,b^{2} m^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-4 i \pi  a b \,m^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 i \pi  \,b^{2} m n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-\pi^{2} b^{2} m^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-\pi^{2} b^{2} m^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} m^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-4 i \pi  \,b^{2} m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-4 i \pi  a b \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 i \pi  \,b^{2} m n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+8 a b \,m^{2} \ln \left(c \right)-8 b^{2} m n \ln \left(c \right)+4 i \pi  \,b^{2} m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  \,b^{2} m^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  a b \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  a b \,m^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  \,b^{2} m n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  \,b^{2} m n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}\right) x \,{\mathrm e}^{\frac{\left(m -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right)}{2}}}{4 m^{3}}"," ",0,"b^2/m*x*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))*ln(x^n)^2+b*(-I*Pi*b*m*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*b*m*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*b*m*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*m*csgn(I*c*x^n)^3+2*b*m*ln(c)+2*a*m-2*b*n)/m^2*x*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))*ln(x^n)+1/4*(4*b^2*m^2*ln(c)^2-Pi^2*b^2*m^2*csgn(I*c*x^n)^6+8*b^2*n^2-8*a*b*m*n+4*a^2*m^2-Pi^2*b^2*m^2*csgn(I*c*x^n)^4*csgn(I*c)^2-4*I*Pi*ln(c)*b^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*Pi*a*b*m^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4*I*Pi*b^2*m*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4*I*Pi*a*b*m^2*csgn(I*c*x^n)^2*csgn(I*c)-4*I*Pi*b^2*m*n*csgn(I*x^n)*csgn(I*c*x^n)^2+8*a*b*m^2*ln(c)-8*b^2*m*n*ln(c)-4*I*Pi*b^2*m*n*csgn(I*c*x^n)^2*csgn(I*c)-Pi^2*b^2*m^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*b^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)^5+2*Pi^2*b^2*m^2*csgn(I*c*x^n)^5*csgn(I*c)+2*Pi^2*b^2*m^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-Pi^2*b^2*m^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-4*Pi^2*b^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+2*Pi^2*b^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-4*I*Pi*ln(c)*b^2*m^2*csgn(I*c*x^n)^3-4*I*Pi*a*b*m^2*csgn(I*c*x^n)^3+4*I*Pi*b^2*m*n*csgn(I*c*x^n)^3+4*I*Pi*ln(c)*b^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*Pi*ln(c)*b^2*m^2*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*a*b*m^2*csgn(I*x^n)*csgn(I*c*x^n)^2)/m^3*x*exp(1/2*(m-1)*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x)))","C"
363,0,0,129,1.108000," ","int((f*x)^(m-1)*(b*ln(c*x^n)+a)^2/(e*x^m+d),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \left(f x \right)^{m -1}}{e \,x^{m}+d}\, dx"," ",0,"int((f*x)^(m-1)*(b*ln(c*x^n)+a)^2/(e*x^m+d),x)","F"
364,0,0,138,0.965000," ","int((f*x)^(m-1)*(b*ln(c*x^n)+a)^2/(e*x^m+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \left(f x \right)^{m -1}}{\left(e \,x^{m}+d \right)^{2}}\, dx"," ",0,"int((f*x)^(m-1)*(b*ln(c*x^n)+a)^2/(e*x^m+d)^2,x)","F"
365,0,0,212,0.953000," ","int((f*x)^(m-1)*(b*ln(c*x^n)+a)^2/(e*x^m+d)^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \left(f x \right)^{m -1}}{\left(e \,x^{m}+d \right)^{3}}\, dx"," ",0,"int((f*x)^(m-1)*(b*ln(c*x^n)+a)^2/(e*x^m+d)^3,x)","F"
366,0,0,332,0.980000," ","int((f*x)^(m-1)*(b*ln(c*x^n)+a)^2/(e*x^m+d)^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} \left(f x \right)^{m -1}}{\left(e \,x^{m}+d \right)^{4}}\, dx"," ",0,"int((f*x)^(m-1)*(b*ln(c*x^n)+a)^2/(e*x^m+d)^4,x)","F"
367,1,613,55,0.272000," ","int(x^5*(d+e*x^r)*(b*ln(c*x^n)+a),x)","\frac{\left(d r +6 e \,x^{r}+6 d \right) b \,x^{6} \ln \left(x^{n}\right)}{36+6 r}-\frac{\left(36 b d n -216 a e \,x^{r}-36 a e r \,x^{r}+36 b e n \,x^{r}-6 b d \,r^{2} \ln \left(c \right)-72 b d r \ln \left(c \right)-216 b e \,x^{r} \ln \left(c \right)-72 a d r -216 a d +b d n \,r^{2}-3 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b d \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 a d \,r^{2}+12 b d n r -216 b d \ln \left(c \right)+108 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)+3 i \pi  b d \,r^{2} \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 r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+108 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-36 b e r \,x^{r} \ln \left(c \right)+18 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-108 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+108 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+36 i \pi  b d r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+108 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-36 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-36 i \pi  b d r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-108 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-108 i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-108 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}\right) x^{6}}{36 \left(r +6\right)^{2}}"," ",0,"1/6*x^6*b*(d*r+6*e*x^r+6*d)/(6+r)*ln(x^n)-1/36*x^6*(36*b*d*n-216*x^r*a*e-36*x^r*a*e*r+36*x^r*b*e*n-6*ln(c)*b*d*r^2-72*ln(c)*b*d*r-216*ln(c)*b*e*x^r-72*a*d*r-216*a*d+b*d*n*r^2-6*a*d*r^2+12*b*d*n*r-216*b*d*ln(c)-3*I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+18*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r*r-18*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r*r-3*I*Pi*b*d*r^2*csgn(I*c*x^n)^2*csgn(I*c)+108*I*Pi*b*d*csgn(I*c*x^n)^3-36*ln(c)*b*e*x^r*r+36*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*r+3*I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+108*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-18*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r*r+36*I*Pi*b*d*csgn(I*c*x^n)^3*r+3*I*Pi*b*d*r^2*csgn(I*c*x^n)^3+108*I*Pi*b*e*csgn(I*c*x^n)^3*x^r-108*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)-108*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-36*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*r-36*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)*r-108*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-108*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+18*I*Pi*b*e*csgn(I*c*x^n)^3*x^r*r+108*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))/(6+r)^2","C"
368,1,613,55,0.267000," ","int(x^3*(d+e*x^r)*(b*ln(c*x^n)+a),x)","\frac{\left(d r +4 e \,x^{r}+4 d \right) b \,x^{4} \ln \left(x^{n}\right)}{16+4 r}-\frac{\left(16 b d n -64 a e \,x^{r}-16 a e r \,x^{r}+16 b e n \,x^{r}-4 b d \,r^{2} \ln \left(c \right)-32 b d r \ln \left(c \right)-64 b e \,x^{r} \ln \left(c \right)-32 a d r -64 a d +b d n \,r^{2}-2 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 a d \,r^{2}+8 b d n r -64 b d \ln \left(c \right)+32 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)+2 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-8 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-8 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+16 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+32 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-16 b e r \,x^{r} \ln \left(c \right)+8 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-32 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+32 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+16 i \pi  b d r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+32 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-16 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-16 i \pi  b d r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-32 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-32 i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-32 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}\right) x^{4}}{16 \left(r +4\right)^{2}}"," ",0,"1/4*b*x^4*(d*r+4*e*x^r+4*d)/(4+r)*ln(x^n)-1/16*x^4*(16*b*d*n-64*a*e*x^r-16*a*e*r*x^r+16*b*e*n*x^r-4*b*d*r^2*ln(c)-32*b*d*r*ln(c)-64*b*e*x^r*ln(c)-32*a*d*r-64*a*d+b*d*n*r^2-4*a*d*r^2+8*b*d*n*r-64*b*d*ln(c)-2*I*Pi*b*d*r^2*csgn(I*c*x^n)^2*csgn(I*c)-32*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+2*I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+32*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-8*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r*r-8*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r*r+32*I*Pi*b*d*csgn(I*c*x^n)^3+8*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r*r+16*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*r-32*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+8*I*Pi*b*e*csgn(I*c*x^n)^3*x^r*r-16*b*e*r*x^r*ln(c)+2*I*Pi*b*d*r^2*csgn(I*c*x^n)^3+32*I*Pi*b*e*csgn(I*c*x^n)^3*x^r-32*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)-32*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+16*I*Pi*b*d*csgn(I*c*x^n)^3*r-16*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*r-16*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)*r-2*I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+32*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))/(4+r)^2","C"
369,1,613,55,0.264000," ","int(x*(d+e*x^r)*(b*ln(c*x^n)+a),x)","\frac{\left(d r +2 e \,x^{r}+2 d \right) b \,x^{2} \ln \left(x^{n}\right)}{4+2 r}-\frac{\left(4 b d n -8 a e \,x^{r}-4 a e r \,x^{r}+4 b e n \,x^{r}-2 b d \,r^{2} \ln \left(c \right)-8 b d r \ln \left(c \right)-8 b e \,x^{r} \ln \left(c \right)-8 a d r -8 a d +b d n \,r^{2}-i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 a d \,r^{2}+4 b d n r -8 b d \ln \left(c \right)+4 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)+i \pi  b d \,r^{2} \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 r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 b e r \,x^{r} \ln \left(c \right)+2 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 i \pi  b d r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b d r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}\right) x^{2}}{4 \left(r +2\right)^{2}}"," ",0,"1/2*b*x^2*(d*r+2*e*x^r+2*d)/(2+r)*ln(x^n)-1/4*x^2*(4*b*d*n-8*a*e*x^r-4*a*e*r*x^r+4*b*e*n*x^r-2*b*d*r^2*ln(c)-8*b*d*r*ln(c)-8*b*e*x^r*ln(c)-8*a*d*r-8*a*d+b*d*n*r^2-2*a*d*r^2+4*b*d*n*r-8*b*d*ln(c)+4*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*r+4*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-2*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r*r-2*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r*r+I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r*r+4*I*Pi*b*d*csgn(I*c*x^n)^3+4*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*r-4*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)*r-4*b*e*r*x^r*ln(c)-4*I*csgn(I*c*x^n)^2*csgn(I*x^n)*d*b*Pi-4*I*csgn(I*c)*csgn(I*c*x^n)^2*d*b*Pi+4*I*Pi*b*d*csgn(I*c*x^n)^3*r+4*I*Pi*b*e*csgn(I*c*x^n)^3*x^r+I*Pi*b*d*r^2*csgn(I*c*x^n)^3-4*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+2*I*Pi*b*e*csgn(I*c*x^n)^3*x^r*r-I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*r^2*csgn(I*c*x^n)^2*csgn(I*c)-4*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r)/(2+r)^2","C"
370,1,278,51,0.263000," ","int((d+e*x^r)*(b*ln(c*x^n)+a)/x,x)","-\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 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{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-\frac{b d n \ln \left(x \right)^{2}}{2}-\frac{i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 r}+\frac{i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 r}+\frac{i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 r}-\frac{i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 r}+b d \ln \left(c \right) \ln \left(x \right)+a d \ln \left(x \right)+\frac{b e \,x^{r} \ln \left(c \right)}{r}+\frac{a e \,x^{r}}{r}-\frac{b e n \,x^{r}}{r^{2}}+\frac{\left(d r \ln \left(x \right)+e \,x^{r}\right) b \ln \left(x^{n}\right)}{r}"," ",0,"b*(d*r*ln(x)+e*x^r)/r*ln(x^n)+1/2*I*Pi*ln(x)*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*csgn(I*c)*csgn(I*c*x^n)*csgn(I*x^n)*d*b*ln(x)*Pi-1/2*I*csgn(I*c*x^n)^3*d*b*ln(x)*Pi+1/2*I*Pi*ln(x)*b*d*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I/r*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-1/2*I/r*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-1/2*I/r*Pi*b*e*csgn(I*c*x^n)^3*x^r+1/2*I/r*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r-1/2*b*d*n*ln(x)^2+b*d*ln(c)*ln(x)+1/r*b*e*x^r*ln(c)+a*d*ln(x)+1/r*x^r*a*e-b*e*n*x^r/r^2","C"
371,1,613,67,0.232000," ","int((d+e*x^r)*(b*ln(c*x^n)+a)/x^3,x)","-\frac{\left(d r -2 e \,x^{r}-2 d \right) b \ln \left(x^{n}\right)}{2 \left(r -2\right) x^{2}}-\frac{4 b d n +8 a e \,x^{r}-4 a e r \,x^{r}+4 b e n \,x^{r}+2 b d \,r^{2} \ln \left(c \right)-8 b d r \ln \left(c \right)+8 b e \,x^{r} \ln \left(c \right)-8 a d r +8 a d +b d n \,r^{2}+i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 a d \,r^{2}-4 b d n r +8 b d \ln \left(c \right)-4 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)-i \pi  b d \,r^{2} \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 r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 b e r \,x^{r} \ln \left(c \right)+2 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 i \pi  b d r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b d r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(r -2\right)^{2} x^{2}}"," ",0,"-1/2*b*(d*r-2*e*x^r-2*d)/(-2+r)/x^2*ln(x^n)-1/4*(4*b*d*n+8*a*e*x^r-4*a*e*r*x^r+4*b*e*n*x^r+2*b*d*r^2*ln(c)-8*b*d*r*ln(c)+8*b*e*x^r*ln(c)-8*a*d*r+8*a*d+b*d*n*r^2+2*a*d*r^2-4*b*d*n*r+8*b*d*ln(c)-4*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-4*I*Pi*b*e*csgn(I*c*x^n)^3*x^r+4*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4*I*Pi*b*d*r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-2*I*Pi*b*e*r*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*e*r*x^r*csgn(I*c)*csgn(I*c*x^n)^2+2*I*Pi*b*e*r*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-4*I*Pi*b*d*csgn(I*c*x^n)^3-4*I*Pi*b*d*r*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b*d*r*csgn(I*c)*csgn(I*c*x^n)^2-4*b*e*r*x^r*ln(c)+I*Pi*b*d*r^2*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*r^2*csgn(I*c*x^n)^3-4*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*Pi*b*d*r*csgn(I*c*x^n)^3+4*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+2*I*Pi*b*e*r*x^r*csgn(I*c*x^n)^3+4*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r)/(-2+r)^2/x^2","C"
372,1,613,67,0.235000," ","int((d+e*x^r)*(b*ln(c*x^n)+a)/x^5,x)","-\frac{\left(d r -4 e \,x^{r}-4 d \right) b \ln \left(x^{n}\right)}{4 \left(r -4\right) x^{4}}-\frac{16 b d n +64 a e \,x^{r}-16 a e r \,x^{r}+16 b e n \,x^{r}+4 b d \,r^{2} \ln \left(c \right)-32 b d r \ln \left(c \right)+64 b e \,x^{r} \ln \left(c \right)-32 a d r +64 a d +b d n \,r^{2}+2 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b d \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 a d \,r^{2}-8 b d n r +64 b d \ln \left(c \right)-32 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)-2 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-8 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-8 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+16 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-32 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-16 b e r \,x^{r} \ln \left(c \right)+8 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+32 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-32 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+16 i \pi  b d r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-32 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-16 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-16 i \pi  b d r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+32 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+32 i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+32 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{16 \left(r -4\right)^{2} x^{4}}"," ",0,"-1/4*b*(d*r-4*e*x^r-4*d)/(-4+r)/x^4*ln(x^n)-1/16*(16*b*d*n+64*a*e*x^r-16*a*e*r*x^r+16*b*e*n*x^r+4*b*d*r^2*ln(c)-32*b*d*r*ln(c)+64*b*e*x^r*ln(c)-32*a*d*r+64*a*d+b*d*n*r^2+8*I*Pi*b*e*csgn(I*c*x^n)^3*x^r*r+4*a*d*r^2-8*b*d*n*r+64*b*d*ln(c)+8*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r*r-32*I*Pi*b*d*csgn(I*c*x^n)^3+32*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*d*r^2*csgn(I*c*x^n)^3-32*I*Pi*b*e*csgn(I*c*x^n)^3*x^r-16*b*e*r*x^r*ln(c)-8*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r*r+16*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*r-8*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r*r-2*I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-32*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+32*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+16*I*Pi*b*d*csgn(I*c*x^n)^3*r-32*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*I*Pi*b*d*r^2*csgn(I*c*x^n)^2*csgn(I*c)-16*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*r-16*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)*r+32*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+32*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+2*I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2)/(-4+r)^2/x^4","C"
373,1,614,55,0.269000," ","int(x^4*(d+e*x^r)*(b*ln(c*x^n)+a),x)","\frac{\left(d r +5 e \,x^{r}+5 d \right) b \,x^{5} \ln \left(x^{n}\right)}{5 r +25}-\frac{\left(50 b d n -250 a e \,x^{r}-50 a e r \,x^{r}+50 b e n \,x^{r}-10 b d \,r^{2} \ln \left(c \right)-100 b d r \ln \left(c \right)-250 b e \,x^{r} \ln \left(c \right)-100 a d r -250 a d +2 b d n \,r^{2}-5 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-5 i \pi  b d \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+25 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-10 a d \,r^{2}+20 b d n r -250 b d \ln \left(c \right)+125 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)+5 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-25 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-25 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+50 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+125 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-50 b e r \,x^{r} \ln \left(c \right)+25 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-125 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+125 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+5 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+50 i \pi  b d r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+125 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-50 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-50 i \pi  b d r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-125 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-125 i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-125 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}\right) x^{5}}{50 \left(r +5\right)^{2}}"," ",0,"1/5*x^5*b*(d*r+5*e*x^r+5*d)/(5+r)*ln(x^n)-1/50*x^5*(50*b*d*n-250*a*e*x^r+125*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-50*a*e*r*x^r+50*b*e*n*x^r-10*b*d*r^2*ln(c)-100*b*d*r*ln(c)-250*b*e*x^r*ln(c)-100*a*d*r-250*a*d+2*b*d*n*r^2-10*a*d*r^2+20*b*d*n*r-250*b*d*ln(c)+25*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r*r+125*I*Pi*b*e*csgn(I*c*x^n)^3*x^r-125*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)-25*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r*r-25*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r*r+50*I*Pi*b*d*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-125*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r-125*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-125*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+50*I*Pi*b*d*csgn(I*c*x^n)^3*r+5*I*Pi*b*d*r^2*csgn(I*c*x^n)^3-50*b*e*r*x^r*ln(c)+5*I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+125*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-5*I*Pi*b*d*r^2*csgn(I*c*x^n)^2*csgn(I*c)+125*I*Pi*b*d*csgn(I*c*x^n)^3-50*I*Pi*b*d*r*csgn(I*c*x^n)^2*csgn(I*c)-50*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*r-5*I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+25*I*Pi*b*e*csgn(I*c*x^n)^3*x^r*r)/(5+r)^2","C"
374,1,614,55,0.269000," ","int(x^2*(d+e*x^r)*(b*ln(c*x^n)+a),x)","\frac{\left(d r +3 e \,x^{r}+3 d \right) b \,x^{3} \ln \left(x^{n}\right)}{3 r +9}-\frac{\left(18 b d n -54 a e \,x^{r}-18 a e r \,x^{r}+18 b e n \,x^{r}-6 b d \,r^{2} \ln \left(c \right)-36 b d r \ln \left(c \right)-54 b e \,x^{r} \ln \left(c \right)-36 a d r -54 a d +2 b d n \,r^{2}-3 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b d \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 a d \,r^{2}+12 b d n r -54 b d \ln \left(c \right)+27 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)+3 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-9 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+27 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-18 b e r \,x^{r} \ln \left(c \right)+9 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-27 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+27 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+18 i \pi  b d r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+27 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-18 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 i \pi  b d r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-27 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-27 i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-27 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}\right) x^{3}}{18 \left(r +3\right)^{2}}"," ",0,"1/3*b*x^3*(d*r+3*e*x^r+3*d)/(3+r)*ln(x^n)-1/18*x^3*(18*b*d*n-54*a*e*x^r-18*a*e*r*x^r+18*b*e*n*x^r-6*b*d*r^2*ln(c)-36*b*d*r*ln(c)-54*b*e*x^r*ln(c)-36*a*d*r-54*a*d+2*b*d*n*r^2-6*a*d*r^2+12*b*d*n*r-54*b*d*ln(c)-18*I*Pi*b*d*r*csgn(I*c*x^n)^2*csgn(I*c)+27*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-27*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r-3*I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-27*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)-3*I*Pi*b*d*r^2*csgn(I*c)*csgn(I*c*x^n)^2-18*b*e*r*x^r*ln(c)-9*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r*r-9*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r*r+27*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+3*I*Pi*b*d*r^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+18*I*Pi*b*d*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+27*I*Pi*b*d*csgn(I*c*x^n)^3+9*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r*r-27*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-18*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*r+9*I*Pi*b*e*csgn(I*c*x^n)^3*x^r*r+3*I*Pi*b*d*r^2*csgn(I*c*x^n)^3-27*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+18*I*Pi*b*d*csgn(I*c*x^n)^3*r+27*I*Pi*b*e*csgn(I*c*x^n)^3*x^r)/(3+r)^2","C"
375,1,606,57,0.269000," ","int((d+e*x^r)*(b*ln(c*x^n)+a),x)","\frac{\left(d r +e \,x^{r}+d \right) b x \ln \left(x^{n}\right)}{r +1}-\frac{\left(2 b d n -2 a e \,x^{r}-2 a e r \,x^{r}+2 b e n \,x^{r}-2 b d \,r^{2} \ln \left(c \right)-4 b d r \ln \left(c \right)-2 b e \,x^{r} \ln \left(c \right)-4 a d r -2 a d +2 b d n \,r^{2}-i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 a d \,r^{2}+4 b d n r -2 b d \ln \left(c \right)+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)+i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b e \,x^{r} \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^{r} \ln \left(c \right)+i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 i \pi  b d r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}\right) x}{2 \left(r +1\right)^{2}}"," ",0,"b*x*(d*r+e*x^r+d)/(1+r)*ln(x^n)-1/2*x*(2*b*d*n-2*a*e*x^r+I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*a*e*r*x^r+2*b*e*n*x^r-2*b*d*r^2*ln(c)-4*b*d*r*ln(c)-2*b*e*x^r*ln(c)-4*a*d*r-2*a*d+2*b*d*n*r^2+I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r*r-2*a*d*r^2+4*b*d*n*r-2*b*d*ln(c)-I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r*r-I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*r^2*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d*csgn(I*c*x^n)^3+I*x^r*csgn(I*c)*csgn(I*c*x^n)*csgn(I*x^n)*e*b*Pi-I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r*r+I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*b*e*r*x^r*ln(c)+2*I*Pi*b*d*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*b*d*r*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+2*I*Pi*b*d*csgn(I*c*x^n)^3*r-I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+I*x^r*csgn(I*c*x^n)^3*e*b*Pi+I*Pi*b*d*r^2*csgn(I*c*x^n)^3-2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*r-I*x^r*csgn(I*c*x^n)^2*csgn(I*x^n)*e*b*Pi-I*x^r*csgn(I*c)*csgn(I*c*x^n)^2*e*b*Pi+I*Pi*b*e*csgn(I*c*x^n)^3*x^r*r)/(1+r)^2","C"
376,1,614,67,0.222000," ","int((d+e*x^r)*(b*ln(c*x^n)+a)/x^2,x)","-\frac{\left(d r -e \,x^{r}-d \right) b \ln \left(x^{n}\right)}{\left(r -1\right) x}-\frac{2 b d n +2 a e \,x^{r}-2 a e r \,x^{r}+2 b e n \,x^{r}+2 b d \,r^{2} \ln \left(c \right)-4 b d r \ln \left(c \right)+2 b e \,x^{r} \ln \left(c \right)-4 a d r +2 a d +2 b d n \,r^{2}+i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 a d \,r^{2}-4 b d n r +2 b d \ln \left(c \right)-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)-i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b e \,x^{r} \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^{r} \ln \left(c \right)+i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 i \pi  b d r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(r -1\right)^{2} x}"," ",0,"-b*(d*r-e*x^r-d)/(-1+r)/x*ln(x^n)-1/2*(2*b*d*n+2*a*e*x^r-2*a*e*r*x^r+2*b*e*n*x^r+2*b*d*r^2*ln(c)-4*b*d*r*ln(c)+2*b*e*x^r*ln(c)-4*a*d*r+2*a*d+2*b*d*n*r^2+I*Pi*b*e*r*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+2*a*d*r^2-4*b*d*n*r+2*b*d*ln(c)-I*Pi*b*e*r*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-I*Pi*b*e*csgn(I*c*x^n)^3*x^r-I*Pi*b*d*r^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d*csgn(I*c*x^n)^3-I*Pi*b*e*r*x^r*csgn(I*c)*csgn(I*c*x^n)^2-2*b*e*r*x^r*ln(c)+2*I*Pi*b*d*r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*b*d*r^2*csgn(I*c)*csgn(I*c*x^n)^2-2*I*Pi*b*d*r*csgn(I*c)*csgn(I*c*x^n)^2-I*Pi*b*d*r^2*csgn(I*c*x^n)^3+I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+2*I*Pi*b*d*r*csgn(I*c*x^n)^3-2*I*Pi*b*d*r*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*b*e*r*x^r*csgn(I*c*x^n)^3)/(-1+r)^2/x","C"
377,1,614,67,0.227000," ","int((d+e*x^r)*(b*ln(c*x^n)+a)/x^4,x)","-\frac{\left(d r -3 e \,x^{r}-3 d \right) b \ln \left(x^{n}\right)}{3 \left(r -3\right) x^{3}}-\frac{18 b d n +54 a e \,x^{r}-18 a e r \,x^{r}+18 b e n \,x^{r}+6 b d \,r^{2} \ln \left(c \right)-36 b d r \ln \left(c \right)+54 b e \,x^{r} \ln \left(c \right)-36 a d r +54 a d +2 b d n \,r^{2}+3 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b d \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 a d \,r^{2}-12 b d n r +54 b d \ln \left(c \right)-27 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)-3 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-9 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-27 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-18 b e r \,x^{r} \ln \left(c \right)+9 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+27 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-27 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-3 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+18 i \pi  b d r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-27 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-18 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 i \pi  b d r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+27 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+27 i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+27 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{18 \left(r -3\right)^{2} x^{3}}"," ",0,"-1/3*b*(d*r-3*e*x^r-3*d)/(-3+r)/x^3*ln(x^n)-1/18*(18*b*d*n+54*a*e*x^r-18*a*e*r*x^r+18*b*e*n*x^r+6*b*d*r^2*ln(c)-36*b*d*r*ln(c)+54*b*e*x^r*ln(c)-27*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-36*a*d*r+54*a*d+2*b*d*n*r^2+6*a*d*r^2-12*b*d*n*r+54*b*d*ln(c)-18*I*Pi*b*d*r*csgn(I*c)*csgn(I*c*x^n)^2-18*b*e*r*x^r*ln(c)-9*I*Pi*b*e*r*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-9*I*Pi*b*e*r*x^r*csgn(I*c)*csgn(I*c*x^n)^2+18*I*Pi*b*d*r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-27*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-3*I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-27*I*Pi*b*d*csgn(I*c*x^n)^3+9*I*Pi*b*e*r*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-18*I*Pi*b*d*r*csgn(I*x^n)*csgn(I*c*x^n)^2+9*I*Pi*b*e*r*x^r*csgn(I*c*x^n)^3+18*I*Pi*b*d*r*csgn(I*c*x^n)^3+27*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*Pi*b*d*r^2*csgn(I*c*x^n)^3+3*I*Pi*b*d*r^2*csgn(I*c*x^n)^2*csgn(I*c)+27*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+27*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+3*I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-27*I*Pi*b*e*csgn(I*c*x^n)^3*x^r+27*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c))/(-3+r)^2/x^3","C"
378,1,614,67,0.235000," ","int((d+e*x^r)*(b*ln(c*x^n)+a)/x^6,x)","-\frac{\left(d r -5 e \,x^{r}-5 d \right) b \ln \left(x^{n}\right)}{5 \left(r -5\right) x^{5}}-\frac{50 b d n +250 a e \,x^{r}-50 a e r \,x^{r}+50 b e n \,x^{r}+10 b d \,r^{2} \ln \left(c \right)-100 b d r \ln \left(c \right)+250 b e \,x^{r} \ln \left(c \right)-100 a d r +250 a d +2 b d n \,r^{2}+5 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+5 i \pi  b d \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+25 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+10 a d \,r^{2}-20 b d n r +250 b d \ln \left(c \right)-125 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)-5 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-25 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-25 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+50 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-125 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-50 b e r \,x^{r} \ln \left(c \right)+25 i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+125 i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-125 i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-5 i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+50 i \pi  b d r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-125 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-50 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-50 i \pi  b d r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+125 i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+125 i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+125 i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{50 \left(r -5\right)^{2} x^{5}}"," ",0,"-1/5*b*(d*r-5*e*x^r-5*d)/(-5+r)/x^5*ln(x^n)-1/50*(50*b*d*n+250*a*e*x^r-50*a*e*r*x^r+50*b*e*n*x^r+10*b*d*r^2*ln(c)-100*b*d*r*ln(c)+250*b*e*x^r*ln(c)-125*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-100*a*d*r+250*a*d+2*b*d*n*r^2+10*a*d*r^2-20*b*d*n*r+250*b*d*ln(c)+25*I*Pi*b*e*r*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-125*I*Pi*b*d*csgn(I*c*x^n)^3-25*I*Pi*b*e*r*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-25*I*Pi*b*e*r*x^r*csgn(I*c)*csgn(I*c*x^n)^2+50*I*Pi*b*d*r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+50*I*Pi*b*d*r*csgn(I*c*x^n)^3-50*b*e*r*x^r*ln(c)-50*I*Pi*b*d*r*csgn(I*c)*csgn(I*c*x^n)^2-50*I*Pi*b*d*r*csgn(I*x^n)*csgn(I*c*x^n)^2-5*I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-125*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+25*I*Pi*b*e*r*x^r*csgn(I*c*x^n)^3+125*I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+125*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-5*I*Pi*b*d*r^2*csgn(I*c*x^n)^3-125*I*Pi*b*e*csgn(I*c*x^n)^3*x^r+125*I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+5*I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+5*I*Pi*b*d*r^2*csgn(I*c*x^n)^2*csgn(I*c)+125*I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r)/(-5+r)^2/x^5","C"
379,1,1924,97,0.352000," ","int(x^5*(d+e*x^r)^2*(b*ln(c*x^n)+a),x)","\frac{\left(d^{2} r^{2}+12 d e r \,x^{r}+3 e^{2} r \,x^{2 r}+9 d^{2} r +36 d e \,x^{r}+18 e^{2} x^{2 r}+18 d^{2}\right) b \,x^{6} \ln \left(x^{n}\right)}{6 \left(r +3\right) \left(r +6\right)}-\frac{\left(-351 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+648 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-972 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-972 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+1944 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-972 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-972 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3888 a d e \,x^{r}-6 b \,d^{2} r^{4} \ln \left(c \right)-108 b \,d^{2} r^{3} \ln \left(c \right)-702 b \,d^{2} r^{2} \ln \left(c \right)-1944 b \,d^{2} r \ln \left(c \right)-1944 a \,d^{2}+b \,d^{2} n \,r^{4}+18 b \,d^{2} n \,r^{3}-1944 a \,e^{2} x^{2 r}+324 b \,d^{2} n -36 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-36 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-432 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-432 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+135 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-1620 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-1620 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+972 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-1944 b \,d^{2} \ln \left(c \right)-6 a \,d^{2} r^{4}+117 b \,d^{2} n \,r^{2}+324 b \,d^{2} n r -702 a \,d^{2} r^{2}-1944 a \,d^{2} r -108 a \,d^{2} r^{3}+432 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-1944 b \,e^{2} x^{2 r} \ln \left(c \right)-18 a \,e^{2} r^{3} x^{2 r}-270 a \,e^{2} r^{2} x^{2 r}-1296 a \,e^{2} r \,x^{2 r}+324 b \,e^{2} n \,x^{2 r}+972 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+648 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+1944 i \pi  b d e \,x^{r} \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 \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+36 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-9 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+54 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+432 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-135 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-135 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+351 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+36 i \pi  b d e \,r^{3} x^{r} \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 \,d^{2} r^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+54 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+351 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+972 i \pi  b \,d^{2} r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+972 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+9 b \,e^{2} n \,r^{2} x^{2 r}+108 b \,e^{2} n r \,x^{2 r}-270 b \,e^{2} r^{2} x^{2 r} \ln \left(c \right)-1296 b \,e^{2} r \,x^{2 r} \ln \left(c \right)-72 a d e \,r^{3} x^{r}-864 a d e \,r^{2} x^{r}-3240 a d e r \,x^{r}+648 b d e n \,x^{r}-3888 b d e \,x^{r} \ln \left(c \right)+432 b d e n r \,x^{r}+72 b d e n \,r^{2} x^{r}-864 b d e \,r^{2} x^{r} \ln \left(c \right)-3240 b d e r \,x^{r} \ln \left(c \right)-72 b d e \,r^{3} x^{r} \ln \left(c \right)-18 b \,e^{2} r^{3} x^{2 r} \ln \left(c \right)+1620 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-648 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-648 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+972 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-1944 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-1944 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+972 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-972 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-972 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-54 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-54 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+135 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-351 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+1620 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)\right) x^{6}}{36 \left(r +3\right)^{2} \left(r +6\right)^{2}}"," ",0,"1/6*x^6*b*(3*e^2*(x^r)^2*r+d^2*r^2+12*d*e*x^r*r+18*(x^r)^2*e^2+9*d^2*r+36*x^r*d*e+18*d^2)/(r+3)/(r+6)*ln(x^n)-1/36*x^6*(36*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-1944*ln(c)*b*e^2*(x^r)^2-18*a*e^2*r^3*(x^r)^2-3888*a*d*e*x^r-270*a*e^2*r^2*(x^r)^2-1296*a*e^2*r*(x^r)^2+324*b*e^2*n*(x^r)^2-6*ln(c)*b*d^2*r^4-108*ln(c)*b*d^2*r^3-702*ln(c)*b*d^2*r^2-1944*ln(c)*b*d^2*r-1944*a*d^2+b*d^2*n*r^4+18*b*d^2*n*r^3+324*b*d^2*n-1944*a*e^2*(x^r)^2-1944*b*d^2*ln(c)-6*a*d^2*r^4+117*b*d^2*n*r^2+324*b*d^2*n*r-702*a*d^2*r^2-1944*a*d^2*r-108*a*d^2*r^3+3*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^3+54*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^3+972*I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2+972*I*Pi*b*d^2*csgn(I*c*x^n)^3+648*I*Pi*b*e^2*r*csgn(I*c*x^n)^3*(x^r)^2-972*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+9*b*e^2*n*r^2*(x^r)^2-72*a*d*e*r^3*x^r-864*a*d*e*r^2*x^r-3240*a*d*e*r*x^r+108*b*e^2*n*r*(x^r)^2+648*b*d*e*n*x^r-270*ln(c)*b*e^2*r^2*(x^r)^2-1296*ln(c)*b*e^2*r*(x^r)^2-3888*ln(c)*b*d*e*x^r-18*ln(c)*b*e^2*r^3*(x^r)^2-351*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)-3*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)-972*I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+9*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-972*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2-972*I*Pi*b*d^2*r*csgn(I*c*x^n)^2*csgn(I*c)+432*b*d*e*n*r*x^r+72*b*d*e*n*r^2*x^r-864*ln(c)*b*d*e*r^2*x^r-3240*ln(c)*b*d*e*r*x^r-72*ln(c)*b*d*e*r^3*x^r-972*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+1620*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-54*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-54*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)+1944*I*Pi*b*d*e*csgn(I*c*x^n)^3*x^r+135*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2+972*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-351*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+351*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-9*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-1944*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-1944*I*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+3*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1620*I*Pi*b*d*e*r*csgn(I*c*x^n)^3*x^r+972*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-648*I*Pi*b*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+54*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-135*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+432*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^3*x^r+36*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^3*x^r-648*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-135*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-9*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+972*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+9*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-36*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-36*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+1944*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-1620*I*Pi*b*d*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+135*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+648*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-1620*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-432*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-432*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r+351*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^3+972*I*Pi*b*d^2*r*csgn(I*c*x^n)^3-972*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+432*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r)/(r+3)^2/(r+6)^2","C"
380,1,1924,97,0.345000," ","int(x^3*(d+e*x^r)^2*(b*ln(c*x^n)+a),x)","\frac{\left(d^{2} r^{2}+8 d e r \,x^{r}+2 e^{2} r \,x^{2 r}+6 d^{2} r +16 d e \,x^{r}+8 e^{2} x^{2 r}+8 d^{2}\right) b \,x^{4} \ln \left(x^{n}\right)}{4 \left(r +2\right) \left(r +4\right)}-\frac{\left(-104 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+128 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-192 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-192 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+256 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-128 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-128 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-512 a d e \,x^{r}-4 b \,d^{2} r^{4} \ln \left(c \right)-48 b \,d^{2} r^{3} \ln \left(c \right)-208 b \,d^{2} r^{2} \ln \left(c \right)-384 b \,d^{2} r \ln \left(c \right)-256 a \,d^{2}+b \,d^{2} n \,r^{4}+12 b \,d^{2} n \,r^{3}-256 a \,e^{2} x^{2 r}+64 b \,d^{2} n -16 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-16 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-128 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-128 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+40 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-320 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-320 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+128 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-256 b \,d^{2} \ln \left(c \right)-4 a \,d^{2} r^{4}+52 b \,d^{2} n \,r^{2}+96 b \,d^{2} n r -208 a \,d^{2} r^{2}-384 a \,d^{2} r -48 a \,d^{2} r^{3}+128 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-256 b \,e^{2} x^{2 r} \ln \left(c \right)-8 a \,e^{2} r^{3} x^{2 r}-80 a \,e^{2} r^{2} x^{2 r}-256 a \,e^{2} r \,x^{2 r}+64 b \,e^{2} n \,x^{2 r}+128 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+128 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+256 i \pi  b d e \,x^{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 \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+16 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+24 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+128 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-40 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-40 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+104 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+16 i \pi  b d e \,r^{3} x^{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 \,d^{2} r^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+24 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+104 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+192 i \pi  b \,d^{2} r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+128 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 b \,e^{2} n \,r^{2} x^{2 r}+32 b \,e^{2} n r \,x^{2 r}-80 b \,e^{2} r^{2} x^{2 r} \ln \left(c \right)-256 b \,e^{2} r \,x^{2 r} \ln \left(c \right)-32 a d e \,r^{3} x^{r}-256 a d e \,r^{2} x^{r}-640 a d e r \,x^{r}+128 b d e n \,x^{r}-512 b d e \,x^{r} \ln \left(c \right)+128 b d e n r \,x^{r}+32 b d e n \,r^{2} x^{r}-256 b d e \,r^{2} x^{r} \ln \left(c \right)-640 b d e r \,x^{r} \ln \left(c \right)-32 b d e \,r^{3} x^{r} \ln \left(c \right)-8 b \,e^{2} r^{3} x^{2 r} \ln \left(c \right)+320 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-128 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-128 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+192 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-256 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-256 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+128 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-128 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-128 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-24 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-24 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+40 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-104 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+320 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)\right) x^{4}}{16 \left(r +2\right)^{2} \left(r +4\right)^{2}}"," ",0,"1/4*b*x^4*(2*e^2*(x^r)^2*r+d^2*r^2+8*d*e*r*x^r+8*(x^r)^2*e^2+6*d^2*r+16*d*e*x^r+8*d^2)/(r+2)/(r+4)*ln(x^n)-1/16*x^4*(128*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+128*I*Pi*b*d^2*csgn(I*c*x^n)^3-256*ln(c)*b*e^2*(x^r)^2-8*a*e^2*r^3*(x^r)^2-512*a*d*e*x^r-80*a*e^2*r^2*(x^r)^2-256*a*e^2*r*(x^r)^2+64*b*e^2*n*(x^r)^2-4*b*d^2*r^4*ln(c)-48*b*d^2*r^3*ln(c)-208*b*d^2*r^2*ln(c)-384*b*d^2*r*ln(c)-256*a*d^2+b*d^2*n*r^4+12*b*d^2*n*r^3+64*b*d^2*n-256*a*e^2*(x^r)^2-256*b*d^2*ln(c)-4*a*d^2*r^4+52*b*d^2*n*r^2+96*b*d^2*n*r-208*a*d^2*r^2-384*a*d^2*r-48*a*d^2*r^3+104*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^3+320*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+192*I*Pi*b*d^2*r*csgn(I*c*x^n)^3-128*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-128*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+2*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^3+16*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+4*b*e^2*n*r^2*(x^r)^2-32*a*d*e*r^3*x^r-256*a*d*e*r^2*x^r-640*a*d*e*r*x^r+32*b*e^2*n*r*(x^r)^2+128*b*d*e*n*x^r-80*ln(c)*b*e^2*r^2*(x^r)^2-256*ln(c)*b*e^2*r*(x^r)^2-512*b*d*e*x^r*ln(c)-8*ln(c)*b*e^2*r^3*(x^r)^2-192*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2-104*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)-2*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)-128*I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+128*b*d*e*n*r*x^r+32*b*d*e*n*r^2*x^r-256*b*d*e*r^2*x^r*ln(c)-640*b*d*e*r*x^r*ln(c)-32*b*d*e*r^3*x^r*ln(c)-192*I*Pi*b*d^2*r*csgn(I*c*x^n)^2*csgn(I*c)+128*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-104*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-4*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-128*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-40*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-4*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+192*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+104*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+16*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^3*x^r+320*I*Pi*b*d*e*r*csgn(I*c*x^n)^3*x^r+128*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-128*I*Pi*b*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-256*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-256*I*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+2*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+24*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-40*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+128*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^3*x^r-24*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-24*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)+256*I*Pi*b*d*e*csgn(I*c*x^n)^3*x^r+40*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2+24*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^3+128*I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2+128*I*Pi*b*e^2*r*csgn(I*c*x^n)^3*(x^r)^2-128*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+40*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-128*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-16*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-16*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+4*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+256*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-128*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r+128*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-320*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-320*I*Pi*b*d*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r)/(r+2)^2/(r+4)^2","C"
381,1,1922,96,0.351000," ","int(x*(d+e*x^r)^2*(b*ln(c*x^n)+a),x)","\frac{\left(d^{2} r^{2}+4 d e r \,x^{r}+e^{2} r \,x^{2 r}+3 d^{2} r +4 d e \,x^{r}+2 e^{2} x^{2 r}+2 d^{2}\right) b \,x^{2} \ln \left(x^{n}\right)}{2 \left(r +1\right) \left(r +2\right)}-\frac{\left(-13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-12 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-12 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-16 a d e \,x^{r}-2 b \,d^{2} r^{4} \ln \left(c \right)-12 b \,d^{2} r^{3} \ln \left(c \right)-26 b \,d^{2} r^{2} \ln \left(c \right)-24 b \,d^{2} r \ln \left(c \right)-8 a \,d^{2}+b \,d^{2} n \,r^{4}+6 b \,d^{2} n \,r^{3}-8 a \,e^{2} x^{2 r}+4 b \,d^{2} n -4 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-20 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-20 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-8 b \,d^{2} \ln \left(c \right)-2 a \,d^{2} r^{4}+13 b \,d^{2} n \,r^{2}+12 b \,d^{2} n r -26 a \,d^{2} r^{2}-24 a \,d^{2} r -12 a \,d^{2} r^{3}+16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-8 b \,e^{2} x^{2 r} \ln \left(c \right)-2 a \,e^{2} r^{3} x^{2 r}-10 a \,e^{2} r^{2} x^{2 r}-16 a \,e^{2} r \,x^{2 r}+4 b \,e^{2} n \,x^{2 r}+4 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+8 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+8 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+12 i \pi  b \,d^{2} r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+b \,e^{2} n \,r^{2} x^{2 r}+4 b \,e^{2} n r \,x^{2 r}-10 b \,e^{2} r^{2} x^{2 r} \ln \left(c \right)-16 b \,e^{2} r \,x^{2 r} \ln \left(c \right)-8 a d e \,r^{3} x^{r}-32 a d e \,r^{2} x^{r}-40 a d e r \,x^{r}+8 b d e n \,x^{r}-16 b d e \,x^{r} \ln \left(c \right)+16 b d e n r \,x^{r}+8 b d e n \,r^{2} x^{r}-32 b d e \,r^{2} x^{r} \ln \left(c \right)-40 b d e r \,x^{r} \ln \left(c \right)-8 b d e \,r^{3} x^{r} \ln \left(c \right)-2 b \,e^{2} r^{3} x^{2 r} \ln \left(c \right)+20 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-8 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-8 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+12 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-8 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-8 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+20 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)\right) x^{2}}{4 \left(r +1\right)^{2} \left(r +2\right)^{2}}"," ",0,"1/2*b*x^2*(e^2*(x^r)^2*r+d^2*r^2+4*d*e*r*x^r+2*(x^r)^2*e^2+3*d^2*r+4*d*e*x^r+2*d^2)/(r+1)/(r+2)*ln(x^n)-1/4*x^2*(4*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-8*ln(c)*b*e^2*(x^r)^2-2*a*e^2*r^3*(x^r)^2-16*a*d*e*x^r-10*a*e^2*r^2*(x^r)^2-16*a*e^2*r*(x^r)^2+4*b*e^2*n*(x^r)^2-2*b*d^2*r^4*ln(c)-12*b*d^2*r^3*ln(c)-26*b*d^2*r^2*ln(c)-24*b*d^2*r*ln(c)-8*a*d^2+b*d^2*n*r^4+6*b*d^2*n*r^3+4*b*d^2*n-8*a*e^2*(x^r)^2-16*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-8*b*d^2*ln(c)-2*a*d^2*r^4+13*b*d^2*n*r^2+12*b*d^2*n*r-26*a*d^2*r^2-24*a*d^2*r-12*a*d^2*r^3+13*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^3+12*I*Pi*b*d^2*r*csgn(I*c*x^n)^3-4*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+6*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^3+4*I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2+16*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+20*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+b*e^2*n*r^2*(x^r)^2-8*a*d*e*r^3*x^r-32*a*d*e*r^2*x^r-40*a*d*e*r*x^r+4*b*e^2*n*r*(x^r)^2+8*b*d*e*n*x^r-10*ln(c)*b*e^2*r^2*(x^r)^2-16*ln(c)*b*e^2*r*(x^r)^2-16*b*d*e*x^r*ln(c)-2*ln(c)*b*e^2*r^3*(x^r)^2+I*Pi*b*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-6*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)+16*b*d*e*n*r*x^r+8*b*d*e*n*r^2*x^r-32*b*d*e*r^2*x^r*ln(c)-40*b*d*e*r*x^r*ln(c)-8*b*d*e*r^3*x^r*ln(c)+4*I*Pi*b*d^2*csgn(I*c*x^n)^3+I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-8*I*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+6*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-5*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+16*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^3*x^r-8*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-5*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+12*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+13*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+4*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^3*x^r+20*I*Pi*b*d*e*r*csgn(I*c*x^n)^3*x^r+4*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-8*I*Pi*b*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-8*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-13*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)-6*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-12*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*b*d^2*r*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+8*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+I*Pi*b*d^2*r^4*csgn(I*c*x^n)^3+8*I*Pi*b*d*e*csgn(I*c*x^n)^3*x^r+5*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2+8*I*Pi*b*e^2*r*csgn(I*c*x^n)^3*(x^r)^2-4*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+8*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-20*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-20*I*Pi*b*d*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+5*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-16*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-4*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-4*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+4*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-13*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2)/(r+1)^2/(r+2)^2","C"
382,1,487,98,0.263000," ","int((d+e*x^r)^2*(b*ln(c*x^n)+a)/x,x)","-\frac{i \pi  b \,d^{2} \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^{2} \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^{2} \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^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-\frac{b \,d^{2} n \ln \left(x \right)^{2}}{2}-\frac{i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{r}+\frac{i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{r}+\frac{i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{r}-\frac{i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{r}-\frac{i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 r}+\frac{i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 r}+\frac{i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 r}-\frac{i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 r}+b \,d^{2} \ln \left(c \right) \ln \left(x \right)+a \,d^{2} \ln \left(x \right)+\frac{2 b d e \,x^{r} \ln \left(c \right)}{r}+\frac{b \,e^{2} x^{2 r} \ln \left(c \right)}{2 r}+\frac{2 a d e \,x^{r}}{r}+\frac{a \,e^{2} x^{2 r}}{2 r}-\frac{2 b d e n \,x^{r}}{r^{2}}-\frac{b \,e^{2} n \,x^{2 r}}{4 r^{2}}+\frac{\left(2 d^{2} r \ln \left(x \right)+4 d e \,x^{r}+e^{2} x^{2 r}\right) b \ln \left(x^{n}\right)}{2 r}"," ",0,"1/2*b*(2*d^2*ln(x)*r+(x^r)^2*e^2+4*d*e*x^r)/r*ln(x^n)-1/4*I/r*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+1/4*I/r*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-1/4*I/r*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2+1/2*I*Pi*ln(x)*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)-I/r*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-I/r*Pi*b*d*e*csgn(I*c*x^n)^3*x^r-1/2*I*Pi*ln(x)*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/r*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+1/2*I*Pi*ln(x)*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*Pi*ln(x)*b*d^2*csgn(I*c*x^n)^3+I/r*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+1/4*I/r*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-1/2*b*d^2*n*ln(x)^2+1/2/r*ln(c)*b*e^2*(x^r)^2+b*d^2*ln(c)*ln(x)+1/2/r*a*e^2*(x^r)^2-1/4/r^2*b*e^2*n*(x^r)^2+2/r*b*d*e*x^r*ln(c)+a*d^2*ln(x)+2/r*a*d*e*x^r-2*b*d*e*n*x^r/r^2","C"
383,1,1923,127,0.330000," ","int((d+e*x^r)^2*(b*ln(c*x^n)+a)/x^3,x)","-\frac{\left(d^{2} r^{2}-4 d e r \,x^{r}-e^{2} r \,x^{2 r}-3 d^{2} r +4 d e \,x^{r}+2 e^{2} x^{2 r}+2 d^{2}\right) b \ln \left(x^{n}\right)}{2 \left(r -1\right) \left(r -2\right) x^{2}}-\frac{13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-12 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-12 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-8 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+16 a d e \,x^{r}+2 b \,d^{2} r^{4} \ln \left(c \right)-12 b \,d^{2} r^{3} \ln \left(c \right)+26 b \,d^{2} r^{2} \ln \left(c \right)-24 b \,d^{2} r \ln \left(c \right)+8 a \,d^{2}+b \,d^{2} n \,r^{4}-6 b \,d^{2} n \,r^{3}+8 a \,e^{2} x^{2 r}+4 b \,d^{2} n -4 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-20 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-20 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+8 b \,d^{2} \ln \left(c \right)+2 a \,d^{2} r^{4}+13 b \,d^{2} n \,r^{2}-12 b \,d^{2} n r +26 a \,d^{2} r^{2}-24 a \,d^{2} r -12 a \,d^{2} r^{3}-16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+8 b \,e^{2} x^{2 r} \ln \left(c \right)-2 a \,e^{2} r^{3} x^{2 r}+10 a \,e^{2} r^{2} x^{2 r}-16 a \,e^{2} r \,x^{2 r}+4 b \,e^{2} n \,x^{2 r}-4 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+8 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-8 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+12 i \pi  b \,d^{2} r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+b \,e^{2} n \,r^{2} x^{2 r}-4 b \,e^{2} n r \,x^{2 r}+10 b \,e^{2} r^{2} x^{2 r} \ln \left(c \right)-16 b \,e^{2} r \,x^{2 r} \ln \left(c \right)-8 a d e \,r^{3} x^{r}+32 a d e \,r^{2} x^{r}-40 a d e r \,x^{r}+8 b d e n \,x^{r}+16 b d e \,x^{r} \ln \left(c \right)-16 b d e n r \,x^{r}+8 b d e n \,r^{2} x^{r}+32 b d e \,r^{2} x^{r} \ln \left(c \right)-40 b d e r \,x^{r} \ln \left(c \right)-8 b d e \,r^{3} x^{r} \ln \left(c \right)-2 b \,e^{2} r^{3} x^{2 r} \ln \left(c \right)+20 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-8 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-8 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+12 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+8 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+20 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 \left(r -1\right)^{2} \left(r -2\right)^{2} x^{2}}"," ",0,"-1/2*b*(-e^2*(x^r)^2*r+d^2*r^2-4*d*e*r*x^r+2*(x^r)^2*e^2-3*d^2*r+4*d*e*x^r+2*d^2)/x^2/(r-1)/(r-2)*ln(x^n)-1/4*(4*I*Pi*b*d*e*r^3*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+8*ln(c)*b*e^2*(x^r)^2-2*a*e^2*r^3*(x^r)^2+16*a*d*e*x^r+10*a*e^2*r^2*(x^r)^2-16*a*e^2*r*(x^r)^2+4*b*e^2*n*(x^r)^2+2*b*d^2*r^4*ln(c)-12*b*d^2*r^3*ln(c)+26*b*d^2*r^2*ln(c)-24*b*d^2*r*ln(c)+8*a*d^2+b*d^2*n*r^4-6*b*d^2*n*r^3+4*b*d^2*n+8*a*e^2*(x^r)^2+8*b*d^2*ln(c)+2*a*d^2*r^4+13*b*d^2*n*r^2-12*b*d^2*n*r+26*a*d^2*r^2-24*a*d^2*r-12*a*d^2*r^3+12*I*Pi*b*d^2*r*csgn(I*c*x^n)^3+5*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-5*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+16*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-5*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-8*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+16*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+6*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^3-16*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+20*I*Pi*b*d*e*r*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+b*e^2*n*r^2*(x^r)^2-8*a*d*e*r^3*x^r+32*a*d*e*r^2*x^r-40*a*d*e*r*x^r-4*b*e^2*n*r*(x^r)^2+8*b*d*e*n*x^r+10*ln(c)*b*e^2*r^2*(x^r)^2-16*ln(c)*b*e^2*r*(x^r)^2+16*b*d*e*x^r*ln(c)-2*ln(c)*b*e^2*r^3*(x^r)^2+I*Pi*b*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-6*I*Pi*b*d^2*r^3*csgn(I*c)*csgn(I*c*x^n)^2-16*b*d*e*n*r*x^r+8*b*d*e*n*r^2*x^r+32*b*d*e*r^2*x^r*ln(c)-40*b*d*e*r*x^r*ln(c)-8*b*d*e*r^3*x^r*ln(c)+13*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+13*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)-8*I*Pi*b*d*e*csgn(I*c*x^n)^3*x^r+4*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+8*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+8*I*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+5*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-16*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^3*x^r-13*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+6*I*Pi*b*d^2*r^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-8*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-4*I*Pi*b*d^2*csgn(I*c*x^n)^3-I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+12*I*Pi*b*d^2*r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+4*I*Pi*b*d*e*r^3*x^r*csgn(I*c*x^n)^3+20*I*Pi*b*d*e*r*x^r*csgn(I*c*x^n)^3-8*I*Pi*b*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-6*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*b*d^2*r*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*d^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-4*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-13*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^3+4*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+8*I*Pi*b*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+8*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-20*I*Pi*b*d*e*r*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-20*I*Pi*b*d*e*r*x^r*csgn(I*c)*csgn(I*c*x^n)^2+4*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d^2*r^4*csgn(I*c*x^n)^3-4*I*Pi*b*d*e*r^3*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b*d*e*r^3*x^r*csgn(I*c)*csgn(I*c*x^n)^2-4*I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2)/(r-1)^2/x^2/(r-2)^2","C"
384,1,1924,127,0.318000," ","int((d+e*x^r)^2*(b*ln(c*x^n)+a)/x^5,x)","-\frac{\left(d^{2} r^{2}-8 d e r \,x^{r}-2 e^{2} r \,x^{2 r}-6 d^{2} r +16 d e \,x^{r}+8 e^{2} x^{2 r}+8 d^{2}\right) b \ln \left(x^{n}\right)}{4 \left(r -2\right) \left(r -4\right) x^{4}}-\frac{104 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+128 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-192 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-192 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-256 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+128 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+128 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+512 a d e \,x^{r}+4 b \,d^{2} r^{4} \ln \left(c \right)-48 b \,d^{2} r^{3} \ln \left(c \right)+208 b \,d^{2} r^{2} \ln \left(c \right)-384 b \,d^{2} r \ln \left(c \right)+256 a \,d^{2}+b \,d^{2} n \,r^{4}-12 b \,d^{2} n \,r^{3}+256 a \,e^{2} x^{2 r}+64 b \,d^{2} n -16 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-16 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+128 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+128 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-40 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-320 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-320 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-128 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+256 b \,d^{2} \ln \left(c \right)+4 a \,d^{2} r^{4}+52 b \,d^{2} n \,r^{2}-96 b \,d^{2} n r +208 a \,d^{2} r^{2}-384 a \,d^{2} r -48 a \,d^{2} r^{3}-128 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+256 b \,e^{2} x^{2 r} \ln \left(c \right)-8 a \,e^{2} r^{3} x^{2 r}+80 a \,e^{2} r^{2} x^{2 r}-256 a \,e^{2} r \,x^{2 r}+64 b \,e^{2} n \,x^{2 r}-128 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+128 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-256 i \pi  b d e \,x^{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 \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+16 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+24 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-128 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+40 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+40 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-104 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+16 i \pi  b d e \,r^{3} x^{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 \,d^{2} r^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+24 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-104 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+192 i \pi  b \,d^{2} r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-128 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 b \,e^{2} n \,r^{2} x^{2 r}-32 b \,e^{2} n r \,x^{2 r}+80 b \,e^{2} r^{2} x^{2 r} \ln \left(c \right)-256 b \,e^{2} r \,x^{2 r} \ln \left(c \right)-32 a d e \,r^{3} x^{r}+256 a d e \,r^{2} x^{r}-640 a d e r \,x^{r}+128 b d e n \,x^{r}+512 b d e \,x^{r} \ln \left(c \right)-128 b d e n r \,x^{r}+32 b d e n \,r^{2} x^{r}+256 b d e \,r^{2} x^{r} \ln \left(c \right)-640 b d e r \,x^{r} \ln \left(c \right)-32 b d e \,r^{3} x^{r} \ln \left(c \right)-8 b \,e^{2} r^{3} x^{2 r} \ln \left(c \right)+320 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-128 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-128 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+192 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+256 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+256 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-128 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+128 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+128 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-24 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-24 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-40 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+104 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+320 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{16 \left(r -2\right)^{2} \left(r -4\right)^{2} x^{4}}"," ",0,"-1/4*b*(-2*e^2*(x^r)^2*r+d^2*r^2-8*d*e*r*x^r+8*(x^r)^2*e^2-6*d^2*r+16*d*e*x^r+8*d^2)/x^4/(r-2)/(r-4)*ln(x^n)-1/16*(256*ln(c)*b*e^2*(x^r)^2-8*a*e^2*r^3*(x^r)^2+512*a*d*e*x^r+80*a*e^2*r^2*(x^r)^2-256*a*e^2*r*(x^r)^2+64*b*e^2*n*(x^r)^2+4*b*d^2*r^4*ln(c)-48*b*d^2*r^3*ln(c)+208*b*d^2*r^2*ln(c)-384*b*d^2*r*ln(c)+256*a*d^2+b*d^2*n*r^4-12*b*d^2*n*r^3+64*b*d^2*n+256*a*e^2*(x^r)^2+128*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+2*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)-256*I*Pi*b*d*e*csgn(I*c*x^n)^3*x^r-40*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2+128*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+256*b*d^2*ln(c)+4*a*d^2*r^4+52*b*d^2*n*r^2-96*b*d^2*n*r+208*a*d^2*r^2-384*a*d^2*r-48*a*d^2*r^3-40*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+128*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-256*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+40*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+320*I*Pi*b*d*e*r*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+192*I*Pi*b*d^2*r*csgn(I*c*x^n)^3-104*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^3+128*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+128*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+16*I*Pi*b*d*e*r^3*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+4*b*e^2*n*r^2*(x^r)^2-32*a*d*e*r^3*x^r+256*a*d*e*r^2*x^r-640*a*d*e*r*x^r-32*b*e^2*n*r*(x^r)^2+128*b*d*e*n*x^r+80*ln(c)*b*e^2*r^2*(x^r)^2-256*ln(c)*b*e^2*r*(x^r)^2+512*b*d*e*x^r*ln(c)-8*ln(c)*b*e^2*r^3*(x^r)^2-192*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2-128*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-128*b*d*e*n*r*x^r+32*b*d*e*n*r^2*x^r+256*b*d*e*r^2*x^r*ln(c)-640*b*d*e*r*x^r*ln(c)-32*b*d*e*r^3*x^r*ln(c)+104*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)+2*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2-192*I*Pi*b*d^2*r*csgn(I*c)*csgn(I*c*x^n)^2+128*I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+40*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-128*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^3*x^r-104*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-128*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+256*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+256*I*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+4*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-4*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-128*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-4*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+192*I*Pi*b*d^2*r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-128*I*Pi*b*d^2*csgn(I*c*x^n)^3+16*I*Pi*b*d*e*r^3*x^r*csgn(I*c*x^n)^3+320*I*Pi*b*d*e*r*x^r*csgn(I*c*x^n)^3-128*I*Pi*b*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+24*I*Pi*b*d^2*r^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-2*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^3-128*I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2-24*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-24*I*Pi*b*d^2*r^3*csgn(I*c)*csgn(I*c*x^n)^2-128*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+104*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+24*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^3+128*I*Pi*b*e^2*r*csgn(I*c*x^n)^3*(x^r)^2-16*I*Pi*b*d*e*r^3*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-16*I*Pi*b*d*e*r^3*x^r*csgn(I*c)*csgn(I*c*x^n)^2+4*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+128*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-320*I*Pi*b*d*e*r*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-320*I*Pi*b*d*e*r*x^r*csgn(I*c)*csgn(I*c*x^n)^2)/(r-2)^2/x^4/(r-4)^2","C"
385,1,1930,101,0.368000," ","int(x^4*(d+e*x^r)^2*(b*ln(c*x^n)+a),x)","\frac{\left(2 d^{2} r^{2}+20 d e r \,x^{r}+5 e^{2} r \,x^{2 r}+15 d^{2} r +50 d e \,x^{r}+25 e^{2} x^{2 r}+25 d^{2}\right) b \,x^{5} \ln \left(x^{n}\right)}{5 \left(2 r +5\right) \left(r +5\right)}-\frac{\left(-1625 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2500 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-3750 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3750 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6250 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-3125 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3125 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-12500 a d e \,x^{r}-40 b \,d^{2} r^{4} \ln \left(c \right)-600 b \,d^{2} r^{3} \ln \left(c \right)-3250 b \,d^{2} r^{2} \ln \left(c \right)-7500 b \,d^{2} r \ln \left(c \right)-6250 a \,d^{2}+8 b \,d^{2} n \,r^{4}+120 b \,d^{2} n \,r^{3}-6250 a \,e^{2} x^{2 r}+1250 b \,d^{2} n -200 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-200 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+50 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-2000 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2000 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+625 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-6250 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6250 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3125 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-6250 b \,d^{2} \ln \left(c \right)-40 a \,d^{2} r^{4}+650 b \,d^{2} n \,r^{2}+1500 b \,d^{2} n r -3250 a \,d^{2} r^{2}-7500 a \,d^{2} r -600 a \,d^{2} r^{3}+2000 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-6250 b \,e^{2} x^{2 r} \ln \left(c \right)-100 a \,e^{2} r^{3} x^{2 r}-1250 a \,e^{2} r^{2} x^{2 r}-5000 a \,e^{2} r \,x^{2 r}+1250 b \,e^{2} n \,x^{2 r}+3125 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2500 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+6250 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+20 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+200 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-50 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-50 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+300 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+2000 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-625 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-625 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+1625 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+200 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+20 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+300 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+1625 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3750 i \pi  b \,d^{2} r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3125 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+50 b \,e^{2} n \,r^{2} x^{2 r}+500 b \,e^{2} n r \,x^{2 r}-1250 b \,e^{2} r^{2} x^{2 r} \ln \left(c \right)-5000 b \,e^{2} r \,x^{2 r} \ln \left(c \right)-400 a d e \,r^{3} x^{r}-4000 a d e \,r^{2} x^{r}-12500 a d e r \,x^{r}+2500 b d e n \,x^{r}-12500 b d e \,x^{r} \ln \left(c \right)+2000 b d e n r \,x^{r}+400 b d e n \,r^{2} x^{r}-4000 b d e \,r^{2} x^{r} \ln \left(c \right)-12500 b d e r \,x^{r} \ln \left(c \right)-400 b d e \,r^{3} x^{r} \ln \left(c \right)-100 b \,e^{2} r^{3} x^{2 r} \ln \left(c \right)+6250 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2500 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2500 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3750 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-6250 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6250 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3125 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-3125 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3125 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-20 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-20 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+50 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-300 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-300 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+625 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-1625 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6250 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)\right) x^{5}}{50 \left(2 r +5\right)^{2} \left(r +5\right)^{2}}"," ",0,"1/5*x^5*b*(5*e^2*(x^r)^2*r+2*d^2*r^2+20*d*e*r*x^r+25*(x^r)^2*e^2+15*d^2*r+50*d*e*x^r+25*d^2)/(5+2*r)/(r+5)*ln(x^n)-1/50*x^5*(6250*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-6250*ln(c)*b*e^2*(x^r)^2-100*a*e^2*r^3*(x^r)^2-12500*a*d*e*x^r-1250*a*e^2*r^2*(x^r)^2-5000*a*e^2*r*(x^r)^2+1250*b*e^2*n*(x^r)^2-40*b*d^2*r^4*ln(c)-600*b*d^2*r^3*ln(c)-3250*b*d^2*r^2*ln(c)-7500*b*d^2*r*ln(c)-6250*a*d^2+8*b*d^2*n*r^4+120*b*d^2*n*r^3+1250*b*d^2*n-6250*a*e^2*(x^r)^2-6250*b*d^2*ln(c)-40*a*d^2*r^4+650*b*d^2*n*r^2+1500*b*d^2*n*r-3250*a*d^2*r^2-7500*a*d^2*r-600*a*d^2*r^3-200*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+50*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-3125*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+20*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^3+3125*I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2+3750*I*Pi*b*d^2*r*csgn(I*c*x^n)^3+50*b*e^2*n*r^2*(x^r)^2-400*a*d*e*r^3*x^r+20*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-50*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+6250*I*Pi*b*d*e*r*csgn(I*c*x^n)^3*x^r-4000*a*d*e*r^2*x^r-12500*a*d*e*r*x^r+500*b*e^2*n*r*(x^r)^2+2500*b*d*e*n*x^r-1250*ln(c)*b*e^2*r^2*(x^r)^2-5000*ln(c)*b*e^2*r*(x^r)^2-12500*b*d*e*x^r*ln(c)+3125*I*Pi*b*d^2*csgn(I*c*x^n)^3-100*ln(c)*b*e^2*r^3*(x^r)^2+2000*b*d*e*n*r*x^r+400*b*d*e*n*r^2*x^r-4000*b*d*e*r^2*x^r*ln(c)-12500*b*d*e*r*x^r*ln(c)-400*b*d*e*r^3*x^r*ln(c)+200*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+2000*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-3125*I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+3125*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-50*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+200*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^3*x^r+6250*I*Pi*b*d*e*csgn(I*c*x^n)^3*x^r+625*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2+2500*I*Pi*b*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+3750*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1625*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-625*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-6250*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-2500*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-6250*I*Pi*b*d*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r-2000*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-3125*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-300*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2+50*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-625*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+2000*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^3*x^r-6250*I*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+300*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3125*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-2500*I*Pi*b*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-6250*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-200*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-20*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2-20*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)-300*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)+625*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-2000*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r+6250*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+2500*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+300*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^3-1625*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-3750*I*Pi*b*d^2*r*csgn(I*c*x^n)^2*csgn(I*c)-3750*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2+1625*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^3-3125*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1625*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^2*csgn(I*c))/(5+2*r)^2/(r+5)^2","C"
386,1,1930,101,0.356000," ","int(x^2*(d+e*x^r)^2*(b*ln(c*x^n)+a),x)","\frac{\left(2 d^{2} r^{2}+12 d e r \,x^{r}+3 e^{2} r \,x^{2 r}+9 d^{2} r +18 d e \,x^{r}+9 e^{2} x^{2 r}+9 d^{2}\right) b \,x^{3} \ln \left(x^{n}\right)}{3 \left(2 r +3\right) \left(r +3\right)}-\frac{\left(-351 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+324 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-486 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-486 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+486 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-243 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-243 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-972 a d e \,x^{r}-24 b \,d^{2} r^{4} \ln \left(c \right)-216 b \,d^{2} r^{3} \ln \left(c \right)-702 b \,d^{2} r^{2} \ln \left(c \right)-972 b \,d^{2} r \ln \left(c \right)-486 a \,d^{2}+8 b \,d^{2} n \,r^{4}+72 b \,d^{2} n \,r^{3}-486 a \,e^{2} x^{2 r}+162 b \,d^{2} n -72 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-72 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-432 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-432 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+135 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-810 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-810 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+243 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-486 b \,d^{2} \ln \left(c \right)-24 a \,d^{2} r^{4}+234 b \,d^{2} n \,r^{2}+324 b \,d^{2} n r -702 a \,d^{2} r^{2}-972 a \,d^{2} r -216 a \,d^{2} r^{3}+432 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-486 b \,e^{2} x^{2 r} \ln \left(c \right)-36 a \,e^{2} r^{3} x^{2 r}-270 a \,e^{2} r^{2} x^{2 r}-648 a \,e^{2} r \,x^{2 r}+162 b \,e^{2} n \,x^{2 r}+243 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+324 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+486 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+12 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+72 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-18 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+108 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+432 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-135 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-135 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+351 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+72 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+12 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+108 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+351 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+486 i \pi  b \,d^{2} r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+243 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+18 b \,e^{2} n \,r^{2} x^{2 r}+108 b \,e^{2} n r \,x^{2 r}-270 b \,e^{2} r^{2} x^{2 r} \ln \left(c \right)-648 b \,e^{2} r \,x^{2 r} \ln \left(c \right)-144 a d e \,r^{3} x^{r}-864 a d e \,r^{2} x^{r}-1620 a d e r \,x^{r}+324 b d e n \,x^{r}-972 b d e \,x^{r} \ln \left(c \right)+432 b d e n r \,x^{r}+144 b d e n \,r^{2} x^{r}-864 b d e \,r^{2} x^{r} \ln \left(c \right)-1620 b d e r \,x^{r} \ln \left(c \right)-144 b d e \,r^{3} x^{r} \ln \left(c \right)-36 b \,e^{2} r^{3} x^{2 r} \ln \left(c \right)+810 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-324 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-324 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+486 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-486 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-486 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+243 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-243 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-243 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-12 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-12 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-108 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-108 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+135 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-351 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+810 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)\right) x^{3}}{18 \left(2 r +3\right)^{2} \left(r +3\right)^{2}}"," ",0,"1/3*b*x^3*(3*e^2*(x^r)^2*r+2*d^2*r^2+12*d*e*r*x^r+9*(x^r)^2*e^2+9*d^2*r+18*d*e*x^r+9*d^2)/(3+2*r)/(r+3)*ln(x^n)-1/18*x^3*(72*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-486*ln(c)*b*e^2*(x^r)^2-36*a*e^2*r^3*(x^r)^2-972*a*d*e*x^r-270*a*e^2*r^2*(x^r)^2-648*a*e^2*r*(x^r)^2+162*b*e^2*n*(x^r)^2-24*b*d^2*r^4*ln(c)-216*b*d^2*r^3*ln(c)-702*b*d^2*r^2*ln(c)-972*b*d^2*r*ln(c)-486*a*d^2+8*b*d^2*n*r^4+72*b*d^2*n*r^3+162*b*d^2*n-486*a*e^2*(x^r)^2+486*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+324*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-486*b*d^2*ln(c)-24*a*d^2*r^4+234*b*d^2*n*r^2+324*b*d^2*n*r-702*a*d^2*r^2-972*a*d^2*r-216*a*d^2*r^3-324*I*Pi*b*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-486*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-486*I*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+108*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-810*I*Pi*b*d*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r-243*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+12*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^3+243*I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2+243*I*Pi*b*d^2*csgn(I*c*x^n)^3+18*b*e^2*n*r^2*(x^r)^2-144*a*d*e*r^3*x^r-864*a*d*e*r^2*x^r-1620*a*d*e*r*x^r+108*b*e^2*n*r*(x^r)^2+324*b*d*e*n*x^r-270*ln(c)*b*e^2*r^2*(x^r)^2-648*ln(c)*b*e^2*r*(x^r)^2-972*b*d*e*x^r*ln(c)-36*ln(c)*b*e^2*r^3*(x^r)^2-351*I*Pi*b*d^2*r^2*csgn(I*c)*csgn(I*c*x^n)^2-12*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)+324*I*Pi*b*e^2*r*csgn(I*c*x^n)^3*(x^r)^2-243*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-108*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2+18*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2+432*b*d*e*n*r*x^r+144*b*d*e*n*r^2*x^r-864*b*d*e*r^2*x^r*ln(c)-1620*b*d*e*r*x^r*ln(c)-144*b*d*e*r^3*x^r*ln(c)-324*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+486*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+810*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-108*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)+486*I*Pi*b*d*e*csgn(I*c*x^n)^3*x^r+135*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-351*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+351*I*Pi*b*d^2*r^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-18*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+810*I*Pi*b*d*e*r*csgn(I*c*x^n)^3*x^r+243*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-135*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+432*I*Pi*b*d*e*r^2*x^r*csgn(I*c*x^n)^3-135*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-810*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-72*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-243*I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+243*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-486*I*Pi*b*d^2*r*csgn(I*c*x^n)^2*csgn(I*c)+72*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^3*x^r+12*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-18*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+135*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-72*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+18*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-486*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2-432*I*Pi*b*d*e*r^2*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-432*I*Pi*b*d*e*r^2*x^r*csgn(I*c)*csgn(I*c*x^n)^2-243*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+486*I*Pi*b*d^2*r*csgn(I*c*x^n)^3+108*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^3+351*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^3+432*I*Pi*b*d*e*r^2*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n))/(3+2*r)^2/(r+3)^2","C"
387,1,1921,113,0.342000," ","int((d+e*x^r)^2*(b*ln(c*x^n)+a),x)","\frac{\left(2 d^{2} r^{2}+4 d e r \,x^{r}+e^{2} r \,x^{2 r}+3 d^{2} r +2 d e \,x^{r}+e^{2} x^{2 r}+d^{2}\right) b x \ln \left(x^{n}\right)}{\left(2 r +1\right) \left(r +1\right)}-\frac{\left(-13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 a d e \,x^{r}-8 b \,d^{2} r^{4} \ln \left(c \right)-24 b \,d^{2} r^{3} \ln \left(c \right)-26 b \,d^{2} r^{2} \ln \left(c \right)-12 b \,d^{2} r \ln \left(c \right)-2 a \,d^{2}+8 b \,d^{2} n \,r^{4}+24 b \,d^{2} n \,r^{3}-2 a \,e^{2} x^{2 r}+2 b \,d^{2} n -8 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-8 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-10 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-10 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-2 b \,d^{2} \ln \left(c \right)-8 a \,d^{2} r^{4}+26 b \,d^{2} n \,r^{2}+12 b \,d^{2} n r -26 a \,d^{2} r^{2}-12 a \,d^{2} r -24 a \,d^{2} r^{3}+16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-2 b \,e^{2} x^{2 r} \ln \left(c \right)-4 a \,e^{2} r^{3} x^{2 r}-10 a \,e^{2} r^{2} x^{2 r}-8 a \,e^{2} r \,x^{2 r}+2 b \,e^{2} n \,x^{2 r}+i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 i \pi  b \,e^{2} r \,x^{2 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 d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+8 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+12 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+8 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+12 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 i \pi  b \,d^{2} r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b \,e^{2} n \,r^{2} x^{2 r}+4 b \,e^{2} n r \,x^{2 r}-10 b \,e^{2} r^{2} x^{2 r} \ln \left(c \right)-8 b \,e^{2} r \,x^{2 r} \ln \left(c \right)-16 a d e \,r^{3} x^{r}-32 a d e \,r^{2} x^{r}-20 a d e r \,x^{r}+4 b d e n \,x^{r}-4 b d e \,x^{r} \ln \left(c \right)+16 b d e n r \,x^{r}+16 b d e n \,r^{2} x^{r}-32 b d e \,r^{2} x^{r} \ln \left(c \right)-20 b d e r \,x^{r} \ln \left(c \right)-16 b d e \,r^{3} x^{r} \ln \left(c \right)-4 b \,e^{2} r^{3} x^{2 r} \ln \left(c \right)+10 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b \,d^{2} 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 d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-12 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-12 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+10 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)\right) x}{2 \left(2 r +1\right)^{2} \left(r +1\right)^{2}}"," ",0,"b*x*(e^2*(x^r)^2*r+2*d^2*r^2+4*d*e*r*x^r+(x^r)^2*e^2+3*d^2*r+2*d*e*x^r+d^2)/(1+2*r)/(r+1)*ln(x^n)-1/2*x*(8*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-2*ln(c)*b*e^2*(x^r)^2-4*a*e^2*r^3*(x^r)^2-4*a*d*e*x^r-10*a*e^2*r^2*(x^r)^2-8*a*e^2*r*(x^r)^2+2*b*e^2*n*(x^r)^2-8*b*d^2*r^4*ln(c)-24*b*d^2*r^3*ln(c)-26*b*d^2*r^2*ln(c)-12*b*d^2*r*ln(c)-2*a*d^2+8*b*d^2*n*r^4+24*b*d^2*n*r^3+2*b*d^2*n-2*a*e^2*(x^r)^2-16*I*Pi*b*d*e*r^2*x^r*csgn(I*c)*csgn(I*c*x^n)^2-2*b*d^2*ln(c)-8*a*d^2*r^4+26*b*d^2*n*r^2+12*b*d^2*n*r-26*a*d^2*r^2-12*a*d^2*r-24*a*d^2*r^3-I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^3+13*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^3-6*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2+16*I*Pi*b*d*e*r^2*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+2*b*e^2*n*r^2*(x^r)^2-16*a*d*e*r^3*x^r-32*a*d*e*r^2*x^r-20*a*d*e*r*x^r+4*b*e^2*n*r*(x^r)^2+4*b*d*e*n*x^r-10*ln(c)*b*e^2*r^2*(x^r)^2-8*ln(c)*b*e^2*r*(x^r)^2-4*b*d*e*x^r*ln(c)-4*ln(c)*b*e^2*r^3*(x^r)^2-4*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+16*b*d*e*n*r*x^r+16*b*d*e*n*r^2*x^r-32*b*d*e*r^2*x^r*ln(c)-20*b*d*e*r*x^r*ln(c)-16*b*d*e*r^3*x^r*ln(c)+10*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+I*Pi*b*d^2*csgn(I*c*x^n)^3-8*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-8*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+2*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+6*I*Pi*b*d^2*r*csgn(I*c*x^n)^3+12*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^3+I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2-12*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)+2*I*Pi*b*d*e*csgn(I*c*x^n)^3*x^r+4*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+8*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^3*x^r+2*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-5*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+16*I*Pi*b*d*e*r^2*x^r*csgn(I*c*x^n)^3-5*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-4*I*Pi*b*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-2*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-2*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+10*I*Pi*b*d*e*r*csgn(I*c*x^n)^3*x^r-4*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+6*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-2*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-2*I*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+12*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+13*I*Pi*b*d^2*r^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-13*I*Pi*b*d^2*r^2*csgn(I*c)*csgn(I*c*x^n)^2+5*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2+4*I*Pi*b*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+5*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-16*I*Pi*b*d*e*r^2*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-13*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+2*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-6*I*Pi*b*d^2*r*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+4*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-10*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-10*I*Pi*b*d*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r)/(1+2*r)^2/(r+1)^2","C"
388,1,1927,123,0.334000," ","int((d+e*x^r)^2*(b*ln(c*x^n)+a)/x^2,x)","-\frac{\left(2 d^{2} r^{2}-4 d e r \,x^{r}-e^{2} r \,x^{2 r}-3 d^{2} r +2 d e \,x^{r}+e^{2} x^{2 r}+d^{2}\right) b \ln \left(x^{n}\right)}{\left(2 r -1\right) \left(r -1\right) x}-\frac{13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-6 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 a d e \,x^{r}+8 b \,d^{2} r^{4} \ln \left(c \right)-24 b \,d^{2} r^{3} \ln \left(c \right)+26 b \,d^{2} r^{2} \ln \left(c \right)-12 b \,d^{2} r \ln \left(c \right)+2 a \,d^{2}+8 b \,d^{2} n \,r^{4}-24 b \,d^{2} n \,r^{3}+2 a \,e^{2} x^{2 r}+2 b \,d^{2} n -8 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-8 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-10 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-10 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+2 b \,d^{2} \ln \left(c \right)+8 a \,d^{2} r^{4}+26 b \,d^{2} n \,r^{2}-12 b \,d^{2} n r +26 a \,d^{2} r^{2}-12 a \,d^{2} r -24 a \,d^{2} r^{3}-16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+2 b \,e^{2} x^{2 r} \ln \left(c \right)-4 a \,e^{2} r^{3} x^{2 r}+10 a \,e^{2} r^{2} x^{2 r}-8 a \,e^{2} r \,x^{2 r}+2 b \,e^{2} n \,x^{2 r}-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 i \pi  b \,e^{2} r \,x^{2 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 d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+8 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+12 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-16 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+8 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+12 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+6 i \pi  b \,d^{2} r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b \,e^{2} n \,r^{2} x^{2 r}-4 b \,e^{2} n r \,x^{2 r}+10 b \,e^{2} r^{2} x^{2 r} \ln \left(c \right)-8 b \,e^{2} r \,x^{2 r} \ln \left(c \right)-16 a d e \,r^{3} x^{r}+32 a d e \,r^{2} x^{r}-20 a d e r \,x^{r}+4 b d e n \,x^{r}+4 b d e \,x^{r} \ln \left(c \right)-16 b d e n r \,x^{r}+16 b d e n \,r^{2} x^{r}+32 b d e \,r^{2} x^{r} \ln \left(c \right)-20 b d e r \,x^{r} \ln \left(c \right)-16 b d e \,r^{3} x^{r} \ln \left(c \right)-4 b \,e^{2} r^{3} x^{2 r} \ln \left(c \right)+10 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6 i \pi  b \,d^{2} 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 d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-12 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-12 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-5 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+13 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+10 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \left(2 r -1\right)^{2} \left(r -1\right)^{2} x}"," ",0,"-b*(-e^2*(x^r)^2*r+2*d^2*r^2-4*d*e*r*x^r+(x^r)^2*e^2-3*d^2*r+2*d*e*x^r+d^2)/x/(-1+2*r)/(r-1)*ln(x^n)-1/2*(8*I*Pi*b*d*e*r^3*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+2*ln(c)*b*e^2*(x^r)^2-4*a*e^2*r^3*(x^r)^2+4*a*d*e*x^r+10*a*e^2*r^2*(x^r)^2-8*a*e^2*r*(x^r)^2+2*b*e^2*n*(x^r)^2+8*b*d^2*r^4*ln(c)-24*b*d^2*r^3*ln(c)+26*b*d^2*r^2*ln(c)-12*b*d^2*r*ln(c)+2*a*d^2+8*b*d^2*n*r^4-24*b*d^2*n*r^3+2*b*d^2*n+2*a*e^2*(x^r)^2+I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+4*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2+2*b*d^2*ln(c)+8*a*d^2*r^4+26*b*d^2*n*r^2-12*b*d^2*n*r+26*a*d^2*r^2-12*a*d^2*r-24*a*d^2*r^3+5*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-2*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-5*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+16*I*Pi*b*d*e*r^2*x^r*csgn(I*c)*csgn(I*c*x^n)^2-5*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2+16*I*Pi*b*d*e*r^2*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-16*I*Pi*b*d*e*r^2*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-6*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2+2*b*e^2*n*r^2*(x^r)^2-16*a*d*e*r^3*x^r+32*a*d*e*r^2*x^r-20*a*d*e*r*x^r-4*b*e^2*n*r*(x^r)^2+4*b*d*e*n*x^r+10*ln(c)*b*e^2*r^2*(x^r)^2-8*ln(c)*b*e^2*r*(x^r)^2+4*b*d*e*x^r*ln(c)-4*ln(c)*b*e^2*r^3*(x^r)^2-16*b*d*e*n*r*x^r+16*b*d*e*n*r^2*x^r+32*b*d*e*r^2*x^r*ln(c)-20*b*d*e*r*x^r*ln(c)-16*b*d*e*r^3*x^r*ln(c)+13*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+13*I*Pi*b*d^2*r^2*csgn(I*c)*csgn(I*c*x^n)^2+10*I*Pi*b*d*e*r*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2+I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)-8*I*Pi*b*d*e*r^3*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-8*I*Pi*b*d*e*r^3*x^r*csgn(I*c)*csgn(I*c*x^n)^2+2*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+6*I*Pi*b*d^2*r*csgn(I*c*x^n)^3+12*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^3+4*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)-2*I*Pi*b*d*e*csgn(I*c*x^n)^3*x^r+5*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-16*I*Pi*b*d*e*r^2*x^r*csgn(I*c*x^n)^3-13*I*Pi*b*d^2*r^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-12*I*Pi*b*d^2*r^3*csgn(I*c)*csgn(I*c*x^n)^2+8*I*Pi*b*d*e*r^3*x^r*csgn(I*c*x^n)^3-4*I*Pi*b*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-2*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+10*I*Pi*b*d*e*r*x^r*csgn(I*c*x^n)^3-4*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+6*I*Pi*b*d^2*r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-2*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+12*I*Pi*b*d^2*r^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*d^2*csgn(I*c*x^n)^3-13*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^3+4*I*Pi*b*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+2*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+2*I*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r-4*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-12*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2+2*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-6*I*Pi*b*d^2*r*csgn(I*c)*csgn(I*c*x^n)^2+4*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-10*I*Pi*b*d*e*r*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-10*I*Pi*b*d*e*r*x^r*csgn(I*c)*csgn(I*c*x^n)^2-4*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^3)/(-1+2*r)^2/x/(r-1)^2","C"
389,1,1930,123,0.349000," ","int((d+e*x^r)^2*(b*ln(c*x^n)+a)/x^4,x)","-\frac{\left(2 d^{2} r^{2}-12 d e r \,x^{r}-3 e^{2} r \,x^{2 r}-9 d^{2} r +18 d e \,x^{r}+9 e^{2} x^{2 r}+9 d^{2}\right) b \ln \left(x^{n}\right)}{3 \left(2 r -3\right) \left(r -3\right) x^{3}}-\frac{351 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+324 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-486 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-486 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-486 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+243 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+243 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+972 a d e \,x^{r}+24 b \,d^{2} r^{4} \ln \left(c \right)-216 b \,d^{2} r^{3} \ln \left(c \right)+702 b \,d^{2} r^{2} \ln \left(c \right)-972 b \,d^{2} r \ln \left(c \right)+486 a \,d^{2}+8 b \,d^{2} n \,r^{4}-72 b \,d^{2} n \,r^{3}+486 a \,e^{2} x^{2 r}+162 b \,d^{2} n -72 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-72 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+432 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+432 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-135 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-810 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-810 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-243 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+486 b \,d^{2} \ln \left(c \right)+24 a \,d^{2} r^{4}+234 b \,d^{2} n \,r^{2}-324 b \,d^{2} n r +702 a \,d^{2} r^{2}-972 a \,d^{2} r -216 a \,d^{2} r^{3}-432 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+486 b \,e^{2} x^{2 r} \ln \left(c \right)-36 a \,e^{2} r^{3} x^{2 r}+270 a \,e^{2} r^{2} x^{2 r}-648 a \,e^{2} r \,x^{2 r}+162 b \,e^{2} n \,x^{2 r}-243 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+324 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-486 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-12 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+72 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-18 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-18 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+108 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-432 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+135 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+135 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-351 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+72 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-12 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+108 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-351 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+486 i \pi  b \,d^{2} r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-243 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+18 b \,e^{2} n \,r^{2} x^{2 r}-108 b \,e^{2} n r \,x^{2 r}+270 b \,e^{2} r^{2} x^{2 r} \ln \left(c \right)-648 b \,e^{2} r \,x^{2 r} \ln \left(c \right)-144 a d e \,r^{3} x^{r}+864 a d e \,r^{2} x^{r}-1620 a d e r \,x^{r}+324 b d e n \,x^{r}+972 b d e \,x^{r} \ln \left(c \right)-432 b d e n r \,x^{r}+144 b d e n \,r^{2} x^{r}+864 b d e \,r^{2} x^{r} \ln \left(c \right)-1620 b d e r \,x^{r} \ln \left(c \right)-144 b d e \,r^{3} x^{r} \ln \left(c \right)-36 b \,e^{2} r^{3} x^{2 r} \ln \left(c \right)+810 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-324 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-324 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+486 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+486 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+486 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-243 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+243 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+243 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+12 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+12 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-108 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-108 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-135 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+351 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+810 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{18 \left(2 r -3\right)^{2} \left(r -3\right)^{2} x^{3}}"," ",0,"-1/3*b*(-3*e^2*(x^r)^2*r+2*d^2*r^2-12*d*e*r*x^r+9*(x^r)^2*e^2-9*d^2*r+18*d*e*x^r+9*d^2)/x^3/(-3+2*r)/(r-3)*ln(x^n)-1/18*(72*I*Pi*b*d*e*r^3*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+351*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)+486*ln(c)*b*e^2*(x^r)^2-36*a*e^2*r^3*(x^r)^2+972*a*d*e*x^r+270*a*e^2*r^2*(x^r)^2-648*a*e^2*r*(x^r)^2+162*b*e^2*n*(x^r)^2+24*b*d^2*r^4*ln(c)-216*b*d^2*r^3*ln(c)+702*b*d^2*r^2*ln(c)-972*b*d^2*r*ln(c)+486*a*d^2+8*b*d^2*n*r^4-72*b*d^2*n*r^3+162*b*d^2*n+486*a*e^2*(x^r)^2+324*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+486*b*d^2*ln(c)+24*a*d^2*r^4+234*b*d^2*n*r^2-324*b*d^2*n*r+702*a*d^2*r^2-972*a*d^2*r-216*a*d^2*r^3-243*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-135*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+243*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)-12*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^3-135*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-324*I*Pi*b*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+108*I*Pi*b*d^2*r^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-810*I*Pi*b*d*e*r*x^r*csgn(I*c)*csgn(I*c*x^n)^2-432*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+18*b*e^2*n*r^2*(x^r)^2-144*a*d*e*r^3*x^r+864*a*d*e*r^2*x^r-1620*a*d*e*r*x^r-108*b*e^2*n*r*(x^r)^2+324*b*d*e*n*x^r+270*ln(c)*b*e^2*r^2*(x^r)^2-648*ln(c)*b*e^2*r*(x^r)^2+972*b*d*e*x^r*ln(c)-36*ln(c)*b*e^2*r^3*(x^r)^2+324*I*Pi*b*e^2*r*csgn(I*c*x^n)^3*(x^r)^2-108*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2+18*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-432*b*d*e*n*r*x^r+144*b*d*e*n*r^2*x^r+864*b*d*e*r^2*x^r*ln(c)-1620*b*d*e*r*x^r*ln(c)-144*b*d*e*r^3*x^r*ln(c)+432*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-486*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+432*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-324*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+486*I*Pi*b*d^2*r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+243*I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+810*I*Pi*b*d*e*r*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-108*I*Pi*b*d^2*r^3*csgn(I*c)*csgn(I*c*x^n)^2+243*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-18*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+810*I*Pi*b*d*e*r*x^r*csgn(I*c*x^n)^3-243*I*Pi*b*d^2*csgn(I*c*x^n)^3-810*I*Pi*b*d*e*r*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-72*I*Pi*b*d*e*r^3*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-486*I*Pi*b*d^2*r*csgn(I*c)*csgn(I*c*x^n)^2+72*I*Pi*b*d*e*r^3*x^r*csgn(I*c*x^n)^3-18*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-72*I*Pi*b*d*e*r^3*x^r*csgn(I*c)*csgn(I*c*x^n)^2+18*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-486*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2-243*I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2-351*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^3+243*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+351*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+135*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+486*I*Pi*b*d^2*r*csgn(I*c*x^n)^3+108*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^3-12*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-243*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+486*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+486*I*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+135*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-432*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^3*x^r-351*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+12*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2+12*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)-486*I*Pi*b*d*e*csgn(I*c*x^n)^3*x^r)/(-3+2*r)^2/x^3/(r-3)^2","C"
390,1,1930,123,0.320000," ","int((d+e*x^r)^2*(b*ln(c*x^n)+a)/x^6,x)","-\frac{\left(2 d^{2} r^{2}-20 d e r \,x^{r}-5 e^{2} r \,x^{2 r}-15 d^{2} r +50 d e \,x^{r}+25 e^{2} x^{2 r}+25 d^{2}\right) b \ln \left(x^{n}\right)}{5 \left(2 r -5\right) \left(r -5\right) x^{5}}-\frac{1625 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2500 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-3750 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3750 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6250 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3125 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3125 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+12500 a d e \,x^{r}+40 b \,d^{2} r^{4} \ln \left(c \right)-600 b \,d^{2} r^{3} \ln \left(c \right)+3250 b \,d^{2} r^{2} \ln \left(c \right)-7500 b \,d^{2} r \ln \left(c \right)+6250 a \,d^{2}+8 b \,d^{2} n \,r^{4}-120 b \,d^{2} n \,r^{3}+6250 a \,e^{2} x^{2 r}+1250 b \,d^{2} n -200 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-200 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+50 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+2000 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2000 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-625 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-6250 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6250 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3125 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+6250 b \,d^{2} \ln \left(c \right)+40 a \,d^{2} r^{4}+650 b \,d^{2} n \,r^{2}-1500 b \,d^{2} n r +3250 a \,d^{2} r^{2}-7500 a \,d^{2} r -600 a \,d^{2} r^{3}-2000 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+6250 b \,e^{2} x^{2 r} \ln \left(c \right)-100 a \,e^{2} r^{3} x^{2 r}+1250 a \,e^{2} r^{2} x^{2 r}-5000 a \,e^{2} r \,x^{2 r}+1250 b \,e^{2} n \,x^{2 r}-3125 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2500 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-6250 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-20 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+200 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-50 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-50 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+300 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-2000 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+625 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+625 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-1625 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+200 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-20 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+300 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-1625 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3750 i \pi  b \,d^{2} r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-3125 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+50 b \,e^{2} n \,r^{2} x^{2 r}-500 b \,e^{2} n r \,x^{2 r}+1250 b \,e^{2} r^{2} x^{2 r} \ln \left(c \right)-5000 b \,e^{2} r \,x^{2 r} \ln \left(c \right)-400 a d e \,r^{3} x^{r}+4000 a d e \,r^{2} x^{r}-12500 a d e r \,x^{r}+2500 b d e n \,x^{r}+12500 b d e \,x^{r} \ln \left(c \right)-2000 b d e n r \,x^{r}+400 b d e n \,r^{2} x^{r}+4000 b d e \,r^{2} x^{r} \ln \left(c \right)-12500 b d e r \,x^{r} \ln \left(c \right)-400 b d e \,r^{3} x^{r} \ln \left(c \right)-100 b \,e^{2} r^{3} x^{2 r} \ln \left(c \right)+6250 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2500 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2500 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3750 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+6250 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6250 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3125 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+3125 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3125 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+20 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+20 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+50 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-300 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-300 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-625 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+1625 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+6250 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{50 \left(2 r -5\right)^{2} \left(r -5\right)^{2} x^{5}}"," ",0,"-1/5*b*(-5*e^2*(x^r)^2*r+2*d^2*r^2-20*d*e*r*x^r+25*(x^r)^2*e^2-15*d^2*r+50*d*e*x^r+25*d^2)/x^5/(-5+2*r)/(r-5)*ln(x^n)-1/50*(6250*I*Pi*b*d*e*r*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+6250*ln(c)*b*e^2*(x^r)^2-100*a*e^2*r^3*(x^r)^2+12500*a*d*e*x^r+1250*a*e^2*r^2*(x^r)^2-5000*a*e^2*r*(x^r)^2+1250*b*e^2*n*(x^r)^2+40*b*d^2*r^4*ln(c)-600*b*d^2*r^3*ln(c)+3250*b*d^2*r^2*ln(c)-7500*b*d^2*r*ln(c)+6250*a*d^2+8*b*d^2*n*r^4-120*b*d^2*n*r^3+1250*b*d^2*n+6250*a*e^2*(x^r)^2+6250*b*d^2*ln(c)+40*a*d^2*r^4+650*b*d^2*n*r^2-1500*b*d^2*n*r+3250*a*d^2*r^2-7500*a*d^2*r-600*a*d^2*r^3-625*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-3125*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-200*I*Pi*b*d*e*r^3*x^r*csgn(I*c)*csgn(I*c*x^n)^2+50*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+3750*I*Pi*b*d^2*r*csgn(I*c*x^n)^3+50*b*e^2*n*r^2*(x^r)^2-400*a*d*e*r^3*x^r+625*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-20*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3125*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-50*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+6250*I*Pi*b*d*e*r*x^r*csgn(I*c*x^n)^3+4000*a*d*e*r^2*x^r-12500*a*d*e*r*x^r-500*b*e^2*n*r*(x^r)^2+2500*b*d*e*n*x^r+1250*ln(c)*b*e^2*r^2*(x^r)^2-5000*ln(c)*b*e^2*r*(x^r)^2+12500*b*d*e*x^r*ln(c)-100*ln(c)*b*e^2*r^3*(x^r)^2-2000*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-2000*b*d*e*n*r*x^r+400*b*d*e*n*r^2*x^r+4000*b*d*e*r^2*x^r*ln(c)-12500*b*d*e*r*x^r*ln(c)-400*b*d*e*r^3*x^r*ln(c)+2000*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-6250*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+2000*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-3125*I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2+200*I*Pi*b*d*e*r^3*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+1625*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-50*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+200*I*Pi*b*d*e*r^3*x^r*csgn(I*c*x^n)^3+2500*I*Pi*b*e^2*r*csgn(I*c*x^n)^3*(x^r)^2-3125*I*Pi*b*d^2*csgn(I*c*x^n)^3-6250*I*Pi*b*d*e*csgn(I*c*x^n)^3*x^r-625*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2+3750*I*Pi*b*d^2*r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-6250*I*Pi*b*d*e*r*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-2500*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-6250*I*Pi*b*d*e*r*x^r*csgn(I*c)*csgn(I*c*x^n)^2-300*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2+50*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2+300*I*Pi*b*d^2*r^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-2500*I*Pi*b*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-200*I*Pi*b*d*e*r^3*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2-1625*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^3+3125*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+3125*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+3125*I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-300*I*Pi*b*d^2*r^3*csgn(I*c)*csgn(I*c*x^n)^2+6250*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+2500*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+300*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^3+1625*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)+20*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2+20*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)+3125*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-20*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^3-3750*I*Pi*b*d^2*r*csgn(I*c)*csgn(I*c*x^n)^2-3750*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2+625*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-2000*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^3*x^r-1625*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+6250*I*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r)/(-5+2*r)^2/x^5/(r-5)^2","C"
391,1,1930,123,0.339000," ","int((d+e*x^r)^2*(b*ln(c*x^n)+a)/x^8,x)","-\frac{\left(2 d^{2} r^{2}-28 d e r \,x^{r}-7 e^{2} r \,x^{2 r}-21 d^{2} r +98 d e \,x^{r}+49 e^{2} x^{2 r}+49 d^{2}\right) b \ln \left(x^{n}\right)}{7 \left(2 r -7\right) \left(r -7\right) x^{7}}-\frac{4459 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+9604 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-14406 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-14406 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-33614 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+16807 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+16807 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+67228 a d e \,x^{r}+56 b \,d^{2} r^{4} \ln \left(c \right)-1176 b \,d^{2} r^{3} \ln \left(c \right)+8918 b \,d^{2} r^{2} \ln \left(c \right)-28812 b \,d^{2} r \ln \left(c \right)+33614 a \,d^{2}+8 b \,d^{2} n \,r^{4}-168 b \,d^{2} n \,r^{3}+33614 a \,e^{2} x^{2 r}+4802 b \,d^{2} n -392 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-392 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+98 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+5488 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+5488 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-1715 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-24010 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-24010 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-16807 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+33614 b \,d^{2} \ln \left(c \right)+56 a \,d^{2} r^{4}+1274 b \,d^{2} n \,r^{2}-4116 b \,d^{2} n r +8918 a \,d^{2} r^{2}-28812 a \,d^{2} r -1176 a \,d^{2} r^{3}-5488 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+33614 b \,e^{2} x^{2 r} \ln \left(c \right)-196 a \,e^{2} r^{3} x^{2 r}+3430 a \,e^{2} r^{2} x^{2 r}-19208 a \,e^{2} r \,x^{2 r}+4802 b \,e^{2} n \,x^{2 r}-16807 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+9604 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-33614 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-28 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+392 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-98 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-98 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+588 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-5488 i \pi  b d e \,r^{2} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+1715 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+1715 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4459 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+392 i \pi  b d e \,r^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-28 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+588 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4459 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+14406 i \pi  b \,d^{2} r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-16807 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+98 b \,e^{2} n \,r^{2} x^{2 r}-1372 b \,e^{2} n r \,x^{2 r}+3430 b \,e^{2} r^{2} x^{2 r} \ln \left(c \right)-19208 b \,e^{2} r \,x^{2 r} \ln \left(c \right)-784 a d e \,r^{3} x^{r}+10976 a d e \,r^{2} x^{r}-48020 a d e r \,x^{r}+9604 b d e n \,x^{r}+67228 b d e \,x^{r} \ln \left(c \right)-5488 b d e n r \,x^{r}+784 b d e n \,r^{2} x^{r}+10976 b d e \,r^{2} x^{r} \ln \left(c \right)-48020 b d e r \,x^{r} \ln \left(c \right)-784 b d e \,r^{3} x^{r} \ln \left(c \right)-196 b \,e^{2} r^{3} x^{2 r} \ln \left(c \right)+24010 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-9604 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-9604 i \pi  b \,e^{2} r \,x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+14406 i \pi  b \,d^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+33614 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+33614 i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-16807 i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+16807 i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+16807 i \pi  b \,d^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+28 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+28 i \pi  b \,d^{2} r^{4} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+98 i \pi  b \,e^{2} r^{3} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-588 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-588 i \pi  b \,d^{2} r^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-1715 i \pi  b \,e^{2} r^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4459 i \pi  b \,d^{2} r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+24010 i \pi  b d e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{98 \left(2 r -7\right)^{2} \left(r -7\right)^{2} x^{7}}"," ",0,"-1/7*b*(-7*e^2*(x^r)^2*r+2*d^2*r^2-28*d*e*r*x^r+49*(x^r)^2*e^2-21*d^2*r+98*d*e*x^r+49*d^2)/x^7/(-7+2*r)/(-7+r)*ln(x^n)-1/98*(33614*ln(c)*b*e^2*(x^r)^2-196*a*e^2*r^3*(x^r)^2+67228*a*d*e*x^r+3430*a*e^2*r^2*(x^r)^2-19208*a*e^2*r*(x^r)^2+4802*b*e^2*n*(x^r)^2+56*b*d^2*r^4*ln(c)-1176*b*d^2*r^3*ln(c)+8918*b*d^2*r^2*ln(c)-28812*b*d^2*r*ln(c)+33614*a*d^2+8*b*d^2*n*r^4-168*b*d^2*n*r^3+4802*b*d^2*n+33614*a*e^2*(x^r)^2+33614*b*d^2*ln(c)+56*a*d^2*r^4+1274*b*d^2*n*r^2-4116*b*d^2*n*r+8918*a*d^2*r^2-28812*a*d^2*r-1176*a*d^2*r^3+392*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^3*x^r-28*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1715*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2+9604*I*Pi*b*e^2*r*csgn(I*c*x^n)^3*(x^r)^2-5488*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+24010*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-9604*I*Pi*b*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+33614*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+33614*I*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+28*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)+392*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+98*b*e^2*n*r^2*(x^r)^2-784*a*d*e*r^3*x^r+10976*a*d*e*r^2*x^r-48020*a*d*e*r*x^r-1372*b*e^2*n*r*(x^r)^2+9604*b*d*e*n*x^r+3430*ln(c)*b*e^2*r^2*(x^r)^2-19208*ln(c)*b*e^2*r*(x^r)^2+67228*b*d*e*x^r*ln(c)-196*ln(c)*b*e^2*r^3*(x^r)^2-5488*b*d*e*n*r*x^r+784*b*d*e*n*r^2*x^r+10976*b*d*e*r^2*x^r*ln(c)-48020*b*d*e*r*x^r*ln(c)-784*b*d*e*r^3*x^r*ln(c)-392*I*Pi*b*d*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-392*I*Pi*b*d*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+98*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-1715*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+5488*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r+14406*I*Pi*b*d^2*r*csgn(I*c*x^n)^3-588*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)-588*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2+98*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2+16807*I*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+4459*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)-24010*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-24010*I*Pi*b*d*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+5488*I*Pi*b*d*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-16807*I*Pi*b*d^2*csgn(I*c*x^n)^3-16807*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4459*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-14406*I*Pi*b*d^2*r*csgn(I*c*x^n)^2*csgn(I*c)-14406*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2-28*I*Pi*b*d^2*r^4*csgn(I*c*x^n)^3+28*I*Pi*b*d^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2-33614*I*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+9604*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-4459*I*Pi*b*d^2*r^2*csgn(I*c*x^n)^3+16807*I*Pi*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+16807*I*Pi*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+588*I*Pi*b*d^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1715*I*Pi*b*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-5488*I*Pi*b*d*e*r^2*csgn(I*c*x^n)^3*x^r-9604*I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+16807*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+14406*I*Pi*b*d^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4459*I*Pi*b*d^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1715*I*Pi*b*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-98*I*Pi*b*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-33614*I*Pi*b*d*e*csgn(I*c*x^n)^3*x^r-16807*I*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2-98*I*Pi*b*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+24010*I*Pi*b*d*e*r*csgn(I*c*x^n)^3*x^r-16807*I*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+588*I*Pi*b*d^2*r^3*csgn(I*c*x^n)^3)/(-7+2*r)^2/x^7/(-7+r)^2","C"
392,1,4021,139,0.493000," ","int(x^5*(d+e*x^r)^3*(b*ln(c*x^n)+a),x)","\text{output too large to display}"," ",0,"1/6*x^6*b*(2*e^3*r^2*(x^r)^3+9*d*e^2*r^2*(x^r)^2+18*e^3*r*(x^r)^3+d^3*r^3+18*d^2*e*r^2*x^r+72*d*e^2*r*(x^r)^2+36*e^3*(x^r)^3+11*d^3*r^2+90*d^2*e*r*x^r+108*d*e^2*(x^r)^2+36*d^3*r+108*d^2*e*x^r+36*d^3)/(r+2)/(r+3)/(r+6)*ln(x^n)-1/36*x^6*(-132*a*d^3*r^5-1158*a*d^3*r^4-5832*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+b*d^3*n*r^6+22*b*d^3*n*r^5+193*b*d^3*n*r^4-7776*a*e^3*(x^r)^3-7776*a*d^3-6*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-6*ln(c)*b*d^3*r^6-132*ln(c)*b*d^3*r^5-1158*ln(c)*b*d^3*r^4-5184*ln(c)*b*d^3*r^3-12528*ln(c)*b*d^3*r^2-15552*ln(c)*b*d^3*r-6*a*d^3*r^6+1296*b*d^3*n-12*a*e^3*r^5*(x^r)^3-240*a*e^3*r^4*(x^r)^3-7776*ln(c)*b*e^3*(x^r)^3+1296*b*e^3*n*(x^r)^3-1836*a*e^3*r^3*(x^r)^3-6696*a*e^3*r^2*(x^r)^3-11664*a*e^3*r*(x^r)^3-23328*a*d*e^2*(x^r)^2-23328*a*d^2*e*x^r-7776*b*d^3*ln(c)+864*b*d^3*n*r^3+2088*b*d^3*n*r^2+2592*b*d^3*n*r+864*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-5184*a*d^3*r^3-12528*a*d^3*r^2-15552*a*d^3*r+2592*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^3-38880*ln(c)*b*d*e^2*r*(x^r)^2-10476*ln(c)*b*d^2*e*r^3*x^r-30456*ln(c)*b*d^2*e*r^2*x^r-42768*ln(c)*b*d^2*e*r*x^r-7344*ln(c)*b*d*e^2*r^3*(x^r)^2-24624*ln(c)*b*d*e^2*r^2*(x^r)^2+6480*b*d^2*e*n*r*x^r+2376*b*d*e^2*n*r^2*(x^r)^2+3996*b*d^2*e*n*r^2*x^r+5238*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^3*x^r-12312*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+918*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-3672*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-3672*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+3348*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-5238*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-5238*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+12312*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+11664*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2-3888*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+5832*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3+3348*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^3*(x^r)^3-3348*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+864*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^3*x^r+21384*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r-11664*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-11664*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-7776*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2-7776*I*Pi*b*d^3*r*csgn(I*c*x^n)^2*csgn(I*c)+3888*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3888*b*d^2*e*n*x^r-7344*a*d*e^2*r^3*(x^r)^2-24624*a*d*e^2*r^2*(x^r)^2-38880*a*d*e^2*r*(x^r)^2-10476*a*d^2*e*r^3*x^r-30456*a*d^2*e*r^2*x^r+5832*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-15228*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+120*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-54*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+6*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^3*(x^r)^3+120*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^3*(x^r)^3-5832*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+15228*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+19440*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+12312*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-66*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)-579*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2-579*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)-3*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)^2+72*b*e^3*n*r^3*(x^r)^3-54*a*d*e^2*r^5*(x^r)^2-1026*a*d*e^2*r^4*(x^r)^2-108*a*d^2*e*r^5*x^r-1728*a*d^2*e*r^4*x^r+468*b*e^3*n*r^2*(x^r)^3+1296*b*e^3*n*r*(x^r)^3+3888*b*d*e^2*n*(x^r)^2+3888*I*Pi*b*d^3*csgn(I*c*x^n)^3+4*b*e^3*n*r^4*(x^r)^3-42768*a*d^2*e*r*x^r-23328*ln(c)*b*d^2*e*x^r-23328*ln(c)*b*d*e^2*(x^r)^2-12*ln(c)*b*e^3*r^5*(x^r)^3-240*ln(c)*b*e^3*r^4*(x^r)^3-1836*ln(c)*b*e^3*r^3*(x^r)^3-6696*ln(c)*b*e^3*r^2*(x^r)^3-11664*ln(c)*b*e^3*r*(x^r)^3+66*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+579*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+7776*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+15228*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^3*x^r-3*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^2*csgn(I*c)-66*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2-3888*I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+6*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-19440*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-21384*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-19440*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-27*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-918*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+27*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^3*(x^r)^2-918*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-27*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-12312*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+6264*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^3+7776*I*Pi*b*d^3*r*csgn(I*c*x^n)^3-3888*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2-3888*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+3*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^3+5184*b*d*e^2*n*r*(x^r)^2-54*ln(c)*b*d*e^2*r^5*(x^r)^2-1026*ln(c)*b*d*e^2*r^4*(x^r)^2-108*ln(c)*b*d^2*e*r^5*x^r-1728*ln(c)*b*d^2*e*r^4*x^r+27*b*d*e^2*n*r^4*(x^r)^2+432*b*d*e^2*n*r^3*(x^r)^2+108*b*d^2*e*n*r^4*x^r+1080*b*d^2*e*n*r^3*x^r-864*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-864*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^2*csgn(I*c)*x^r+918*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^3*(x^r)^3+11664*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r-54*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^2*csgn(I*c)*x^r-513*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-513*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+3888*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-3348*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+3672*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-120*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-120*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+54*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^3*x^r+6264*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+513*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^3*(x^r)^2-15228*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-21384*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+11664*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+11664*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+27*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+54*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+513*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+66*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^3+579*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^3+3888*I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3+3672*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2+21384*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-6*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+19440*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+5238*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+2592*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-11664*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-11664*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+3*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-6264*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-6264*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)-2592*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-2592*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^2*csgn(I*c))/(r+2)^2/(r+3)^2/(r+6)^2","C"
393,1,4027,143,0.488000," ","int(x^3*(d+e*x^r)^3*(b*ln(c*x^n)+a),x)","\text{output too large to display}"," ",0,"1/4*b*x^4*(4*e^3*r^2*(x^r)^3+18*d*e^2*r^2*(x^r)^2+24*e^3*r*(x^r)^3+3*d^3*r^3+36*d^2*e*r^2*x^r+96*d*e^2*r*(x^r)^2+32*e^3*(x^r)^3+22*d^3*r^2+120*d^2*e*r*x^r+96*d*e^2*(x^r)^2+48*d^3*r+96*d^2*e*x^r+32*d^3)/(4+3*r)/(r+2)/(r+4)*ln(x^n)-1/16*x^4*(-6144*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-6144*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+18*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-528*a*d^3*r^5-3088*a*d^3*r^4+216*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+9*b*d^3*n*r^6+132*b*d^3*n*r^5+772*b*d^3*n*r^4-4096*a*e^3*(x^r)^3-4096*a*d^3+18048*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^3*x^r+15360*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+2048*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+6528*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-6528*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-6528*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+3968*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-36*ln(c)*b*d^3*r^6-528*ln(c)*b*d^3*r^5-3088*ln(c)*b*d^3*r^4-9216*ln(c)*b*d^3*r^3-14848*ln(c)*b*d^3*r^2-12288*ln(c)*b*d^3*r-36*a*d^3*r^6+1024*b*d^3*n-48*a*e^3*r^5*(x^r)^3-640*a*e^3*r^4*(x^r)^3-4096*ln(c)*b*e^3*(x^r)^3+1024*b*e^3*n*(x^r)^3-3264*a*e^3*r^3*(x^r)^3-7936*a*e^3*r^2*(x^r)^3-9216*a*e^3*r*(x^r)^3-12288*a*d*e^2*(x^r)^2-12288*a*d^2*e*x^r-4096*b*d^3*ln(c)+2304*b*d^3*n*r^3+3712*b*d^3*n*r^2+3072*b*d^3*n*r-9216*a*d^3*r^3-14848*a*d^3*r^2-12288*a*d^3*r-30720*ln(c)*b*d*e^2*r*(x^r)^2-18624*ln(c)*b*d^2*e*r^3*x^r-36096*ln(c)*b*d^2*e*r^2*x^r-33792*ln(c)*b*d^2*e*r*x^r-13056*ln(c)*b*d*e^2*r^3*(x^r)^2-29184*ln(c)*b*d*e^2*r^2*(x^r)^2+7680*b*d^2*e*n*r*x^r+4224*b*d*e^2*n*r^2*(x^r)^2+7104*b*d^2*e*n*r^2*x^r-18048*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+320*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-216*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+2048*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-264*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)-1544*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2-1544*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)+4608*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+9312*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+14592*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+18048*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-24*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+7424*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+264*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1544*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1632*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^3*(x^r)^3+6144*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r+24*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^3*(x^r)^3+320*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^3*(x^r)^3+3072*b*d^2*e*n*x^r-13056*a*d*e^2*r^3*(x^r)^2-29184*a*d*e^2*r^2*(x^r)^2-30720*a*d*e^2*r*(x^r)^2-18624*a*d^2*e*r^3*x^r-36096*a*d^2*e*r^2*x^r+2304*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^3*x^r+16896*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r-6144*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-6144*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+15360*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+16896*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+108*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-216*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^2*csgn(I*c)*x^r-1368*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-1368*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-2304*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-264*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2-2048*I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+6144*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2+4608*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^3+7424*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^3+6144*I*Pi*b*d^3*r*csgn(I*c*x^n)^3-2048*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2-2048*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)-7424*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-7424*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)-4608*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-18048*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-15360*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-108*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-108*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+18*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^3+264*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^3+1544*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^3+2048*I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3+2048*I*Pi*b*d^3*csgn(I*c*x^n)^3+192*b*e^3*n*r^3*(x^r)^3-216*a*d*e^2*r^5*(x^r)^2-2736*a*d*e^2*r^4*(x^r)^2-432*a*d^2*e*r^5*x^r-4608*a*d^2*e*r^4*x^r+832*b*e^3*n*r^2*(x^r)^3+1536*b*e^3*n*r*(x^r)^3+3072*b*d*e^2*n*(x^r)^2-9312*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-9312*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+16*b*e^3*n*r^4*(x^r)^3-33792*a*d^2*e*r*x^r-12288*ln(c)*b*d^2*e*x^r-12288*ln(c)*b*d*e^2*(x^r)^2-48*ln(c)*b*e^3*r^5*(x^r)^3-640*ln(c)*b*e^3*r^4*(x^r)^3-3264*ln(c)*b*e^3*r^3*(x^r)^3-7936*ln(c)*b*e^3*r^2*(x^r)^3-9216*ln(c)*b*e^3*r*(x^r)^3+4608*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3968*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-4608*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)-6144*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2-6144*I*Pi*b*d^3*r*csgn(I*c*x^n)^2*csgn(I*c)-16896*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+6144*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+6144*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-320*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+216*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^3*x^r+1368*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^3*(x^r)^2-14592*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-14592*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+1632*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-18*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^2*csgn(I*c)+6144*b*d*e^2*n*r*(x^r)^2-216*ln(c)*b*d*e^2*r^5*(x^r)^2-2736*ln(c)*b*d*e^2*r^4*(x^r)^2-432*ln(c)*b*d^2*e*r^5*x^r-4608*ln(c)*b*d^2*e*r^4*x^r+108*b*d*e^2*n*r^4*(x^r)^2+1152*b*d*e^2*n*r^3*(x^r)^2+432*b*d^2*e*n*r^4*x^r+2880*b*d^2*e*n*r^3*x^r+108*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^3*(x^r)^2-320*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+9312*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^3*x^r+14592*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-4608*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-4608*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-18*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)^2-2304*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^2*csgn(I*c)*x^r+24*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-15360*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-16896*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-3968*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-1632*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-1632*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-24*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+1368*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+2304*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+6528*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+6144*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2048*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+4608*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3+3968*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^3*(x^r)^3)/(4+3*r)^2/(r+2)^2/(r+4)^2","C"
394,1,4027,143,0.488000," ","int(x*(d+e*x^r)^3*(b*ln(c*x^n)+a),x)","\text{output too large to display}"," ",0,"1/2*b*x^2*(2*e^3*r^2*(x^r)^3+9*d*e^2*r^2*(x^r)^2+6*e^3*r*(x^r)^3+3*d^3*r^3+18*d^2*e*r^2*x^r+24*d*e^2*r*(x^r)^2+4*e^3*(x^r)^3+11*d^3*r^2+30*d^2*e*r*x^r+12*d*e^2*(x^r)^2+12*d^3*r+12*d^2*e*x^r+4*d^3)/(2+3*r)/(r+1)/(r+2)*ln(x^n)-1/4*x^2*(-132*a*d^3*r^5-386*a*d^3*r^4+171*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+9*b*d^3*n*r^6+66*b*d^3*n*r^5+193*b*d^3*n*r^4-32*a*e^3*(x^r)^3-32*a*d^3-102*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-102*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-40*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-6*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-40*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-18*ln(c)*b*d^3*r^6-132*ln(c)*b*d^3*r^5-386*ln(c)*b*d^3*r^4-576*ln(c)*b*d^3*r^3-464*ln(c)*b*d^3*r^2-192*ln(c)*b*d^3*r-18*a*d^3*r^6+16*b*d^3*n-12*a*e^3*r^5*(x^r)^3-80*a*e^3*r^4*(x^r)^3-32*ln(c)*b*e^3*(x^r)^3+16*b*e^3*n*(x^r)^3-204*a*e^3*r^3*(x^r)^3-248*a*e^3*r^2*(x^r)^3-144*a*e^3*r*(x^r)^3-96*a*d*e^2*(x^r)^2-96*a*d^2*e*x^r-32*b*d^3*ln(c)+288*b*d^3*n*r^3+232*b*d^3*n*r^2+96*b*d^3*n*r-576*a*d^3*r^3-464*a*d^3*r^2-192*a*d^3*r-480*ln(c)*b*d*e^2*r*(x^r)^2-1164*ln(c)*b*d^2*e*r^3*x^r-1128*ln(c)*b*d^2*e*r^2*x^r-528*ln(c)*b*d^2*e*r*x^r-816*ln(c)*b*d*e^2*r^3*(x^r)^2-912*ln(c)*b*d*e^2*r^2*(x^r)^2+240*b*d^2*e*n*r*x^r+264*b*d*e^2*n*r^2*(x^r)^2+444*b*d^2*e*n*r^2*x^r+48*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-564*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-240*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+564*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+240*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-193*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2-193*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)-9*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)^2+288*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-240*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-264*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-264*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+48*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+48*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r+40*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^3*(x^r)^3-232*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+48*b*d^2*e*n*x^r-816*a*d*e^2*r^3*(x^r)^2-912*a*d*e^2*r^2*(x^r)^2-480*a*d*e^2*r*(x^r)^2-1164*a*d^2*e*r^3*x^r-1128*a*d^2*e*r^2*x^r-54*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+232*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+288*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-124*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-456*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-456*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+102*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+6*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^3*(x^r)^3-16*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+582*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^3*x^r+456*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-72*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-232*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)-66*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)-288*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-288*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)+264*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+16*I*Pi*b*d^3*csgn(I*c*x^n)^3+9*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+193*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+24*b*e^3*n*r^3*(x^r)^3-54*a*d*e^2*r^5*(x^r)^2-342*a*d*e^2*r^4*(x^r)^2-108*a*d^2*e*r^5*x^r-576*a*d^2*e*r^4*x^r+52*b*e^3*n*r^2*(x^r)^3+48*b*e^3*n*r*(x^r)^3+48*b*d*e^2*n*(x^r)^2-288*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-288*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^2*csgn(I*c)*x^r+4*b*e^3*n*r^4*(x^r)^3-528*a*d^2*e*r*x^r-96*ln(c)*b*d^2*e*x^r-96*ln(c)*b*d*e^2*(x^r)^2-12*ln(c)*b*e^3*r^5*(x^r)^3-80*ln(c)*b*e^3*r^4*(x^r)^3-204*ln(c)*b*e^3*r^3*(x^r)^3-248*ln(c)*b*e^3*r^2*(x^r)^3-144*ln(c)*b*e^3*r*(x^r)^3-48*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-48*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-48*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+66*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-72*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+564*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^3*x^r+240*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2-96*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2-96*I*Pi*b*d^3*r*csgn(I*c*x^n)^2*csgn(I*c)-66*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2+16*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+6*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-27*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+27*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^3*(x^r)^2-582*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-582*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+72*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-564*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-16*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+9*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^3+193*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^3+16*I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3-171*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-27*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+96*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+192*b*d*e^2*n*r*(x^r)^2-54*ln(c)*b*d*e^2*r^5*(x^r)^2-342*ln(c)*b*d*e^2*r^4*(x^r)^2-108*ln(c)*b*d^2*e*r^5*x^r-576*ln(c)*b*d^2*e*r^4*x^r+27*b*d*e^2*n*r^4*(x^r)^2+144*b*d*e^2*n*r^3*(x^r)^2+108*b*d^2*e*n*r^4*x^r+360*b*d^2*e*n*r^3*x^r+288*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^3*x^r+264*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r+288*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^3+232*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^3+96*I*Pi*b*d^3*r*csgn(I*c*x^n)^3-16*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+16*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+408*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-124*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-9*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^2*csgn(I*c)-16*I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+48*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2-54*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^2*csgn(I*c)*x^r-408*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-408*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+124*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+171*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^3*(x^r)^2+54*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^3*x^r+40*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-171*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+456*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-48*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+27*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+54*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+66*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^3+408*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+582*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-6*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+72*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3+124*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^3*(x^r)^3+102*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^3*(x^r)^3)/(2+3*r)^2/(r+1)^2/(r+2)^2","C"
395,1,693,142,0.285000," ","int((d+e*x^r)^3*(b*ln(c*x^n)+a)/x,x)","\frac{a \,e^{3} x^{3 r}}{3 r}+\frac{\left(6 d^{3} r \ln \left(x \right)+18 d^{2} e \,x^{r}+9 d \,e^{2} x^{2 r}+2 e^{3} x^{3 r}\right) b \ln \left(x^{n}\right)}{6 r}+b \,d^{3} \ln \left(c \right) \ln \left(x \right)+a \,d^{3} \ln \left(x \right)-\frac{i \pi  b \,d^{3} \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{3 i \pi  b \,d^{2} e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 r}-\frac{3 i \pi  b d \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 r}+\frac{i \pi  b \,e^{3} x^{3 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 r}+\frac{i \pi  b \,e^{3} x^{3 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 r}+\frac{3 b d \,e^{2} x^{2 r} \ln \left(c \right)}{2 r}+\frac{3 b \,d^{2} e \,x^{r} \ln \left(c \right)}{r}-\frac{3 i \pi  b \,d^{2} e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 r}-\frac{3 i \pi  b d \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 r}+\frac{3 a \,d^{2} e \,x^{r}}{r}+\frac{b \,e^{3} x^{3 r} \ln \left(c \right)}{3 r}+\frac{3 a d \,e^{2} x^{2 r}}{2 r}-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-\frac{3 b \,d^{2} e n \,x^{r}}{r^{2}}-\frac{3 b d \,e^{2} n \,x^{2 r}}{4 r^{2}}-\frac{b \,d^{3} n \ln \left(x \right)^{2}}{2}-\frac{b \,e^{3} n \,x^{3 r}}{9 r^{2}}+\frac{3 i \pi  b \,d^{2} e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 r}+\frac{3 i \pi  b \,d^{2} e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 r}+\frac{3 i \pi  b d \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 r}+\frac{3 i \pi  b d \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 r}-\frac{i \pi  b \,e^{3} x^{3 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6 r}+\frac{i \pi  b \,d^{3} \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^{3} \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^{3} x^{3 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 r}"," ",0,"1/3/r*a*e^3*(x^r)^3+1/6*b*(2*e^3*(x^r)^3+6*d^3*ln(x)*r+9*d*e^2*(x^r)^2+18*d^2*e*x^r)/r*ln(x^n)-1/6*I/r*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3+1/2*I*Pi*ln(x)*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*Pi*ln(x)*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+b*d^3*ln(c)*ln(x)+a*d^3*ln(x)+3/2/r*ln(c)*b*d*e^2*(x^r)^2-3/4/r^2*b*d*e^2*n*(x^r)^2+3/r*ln(c)*b*d^2*e*x^r-1/2*I*Pi*ln(x)*b*d^3*csgn(I*c*x^n)^3+1/3/r*ln(c)*b*e^3*(x^r)^3-1/9/r^2*b*e^3*n*(x^r)^3+3/2/r*a*d*e^2*(x^r)^2+3/r*a*d^2*e*x^r-3/4*I/r*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-3/2*I/r*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+3/4*I/r*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+3/4*I/r*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+3/2*I/r*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+3/2*I/r*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r-1/6*I/r*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-3*b*d^2*e*n*x^r/r^2-1/2*I*Pi*ln(x)*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/6*I/r*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+1/6*I/r*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-3/4*I/r*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2-3/2*I/r*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r-1/2*b*d^3*n*ln(x)^2","C"
396,1,4027,183,0.490000," ","int((d+e*x^r)^3*(b*ln(c*x^n)+a)/x^3,x)","\text{output too large to display}"," ",0,"-1/2*b*(-2*e^3*r^2*(x^r)^3-9*d*e^2*r^2*(x^r)^2+6*e^3*r*(x^r)^3+3*d^3*r^3-18*d^2*e*r^2*x^r+24*d*e^2*r*(x^r)^2-4*e^3*(x^r)^3-11*d^3*r^2+30*d^2*e*r*x^r-12*d*e^2*(x^r)^2+12*d^3*r-12*d^2*e*x^r-4*d^3)/x^2/(-2+3*r)/(r-1)/(r-2)*ln(x^n)-1/4*(-132*a*d^3*r^5+386*a*d^3*r^4+9*b*d^3*n*r^6-66*b*d^3*n*r^5+193*b*d^3*n*r^4+32*a*e^3*(x^r)^3+32*a*d^3-102*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-102*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-6*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+18*ln(c)*b*d^3*r^6-132*ln(c)*b*d^3*r^5+386*ln(c)*b*d^3*r^4-576*ln(c)*b*d^3*r^3+464*ln(c)*b*d^3*r^2-192*ln(c)*b*d^3*r+18*a*d^3*r^6+16*b*d^3*n-12*a*e^3*r^5*(x^r)^3+80*a*e^3*r^4*(x^r)^3+32*ln(c)*b*e^3*(x^r)^3+16*b*e^3*n*(x^r)^3-204*a*e^3*r^3*(x^r)^3+248*a*e^3*r^2*(x^r)^3-144*a*e^3*r*(x^r)^3+96*a*d*e^2*(x^r)^2+96*a*d^2*e*x^r+32*b*d^3*ln(c)-288*b*d^3*n*r^3+232*b*d^3*n*r^2-96*b*d^3*n*r-16*I*Pi*b*d^3*csgn(I*c*x^n)^3-564*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-576*a*d^3*r^3+464*a*d^3*r^2-192*a*d^3*r-480*ln(c)*b*d*e^2*r*(x^r)^2-1164*ln(c)*b*d^2*e*r^3*x^r+1128*ln(c)*b*d^2*e*r^2*x^r-528*ln(c)*b*d^2*e*r*x^r-816*ln(c)*b*d*e^2*r^3*(x^r)^2+912*ln(c)*b*d*e^2*r^2*(x^r)^2-240*b*d^2*e*n*r*x^r+264*b*d*e^2*n*r^2*(x^r)^2+444*b*d^2*e*n*r^2*x^r-240*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+240*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-240*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-264*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-264*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+48*b*d^2*e*n*x^r-816*a*d*e^2*r^3*(x^r)^2+912*a*d*e^2*r^2*(x^r)^2-480*a*d*e^2*r*(x^r)^2-1164*a*d^2*e*r^3*x^r+1128*a*d^2*e*r^2*x^r-54*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+288*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-456*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-564*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^3*x^r+40*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-288*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^3*x^r+48*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+102*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+6*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^3*(x^r)^3+582*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^3*x^r-72*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-171*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-456*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+48*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+48*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+48*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+124*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-66*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)-288*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-288*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)+264*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-288*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+456*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+456*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-40*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+171*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-48*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+288*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^2*csgn(I*c)*x^r-124*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+124*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-24*b*e^3*n*r^3*(x^r)^3-54*a*d*e^2*r^5*(x^r)^2+342*a*d*e^2*r^4*(x^r)^2-108*a*d^2*e*r^5*x^r+576*a*d^2*e*r^4*x^r+52*b*e^3*n*r^2*(x^r)^3-48*b*e^3*n*r*(x^r)^3+48*b*d*e^2*n*(x^r)^2+4*b*e^3*n*r^4*(x^r)^3-528*a*d^2*e*r*x^r+96*ln(c)*b*d^2*e*x^r+96*ln(c)*b*d*e^2*(x^r)^2-12*ln(c)*b*e^3*r^5*(x^r)^3+80*ln(c)*b*e^3*r^4*(x^r)^3-204*ln(c)*b*e^3*r^3*(x^r)^3+248*ln(c)*b*e^3*r^2*(x^r)^3-144*ln(c)*b*e^3*r*(x^r)^3+66*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-72*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+240*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2-96*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2-96*I*Pi*b*d^3*r*csgn(I*c*x^n)^2*csgn(I*c)-66*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2-48*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2+16*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-124*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^3*(x^r)^3-48*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r+6*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+9*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^2*csgn(I*c)-27*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-232*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^3-16*I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3+16*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+16*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)-9*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^3-193*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^3+27*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^3*(x^r)^2-9*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-193*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-171*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^3*(x^r)^2-16*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-582*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-582*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+72*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-40*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^3*(x^r)^3+193*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2+193*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)+16*I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+40*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-232*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+232*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-16*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+9*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)^2+232*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)-27*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+96*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-192*b*d*e^2*n*r*(x^r)^2-54*ln(c)*b*d*e^2*r^5*(x^r)^2+342*ln(c)*b*d*e^2*r^4*(x^r)^2-108*ln(c)*b*d^2*e*r^5*x^r+576*ln(c)*b*d^2*e*r^4*x^r+27*b*d*e^2*n*r^4*(x^r)^2-144*b*d*e^2*n*r^3*(x^r)^2+108*b*d^2*e*n*r^4*x^r-360*b*d^2*e*n*r^3*x^r+264*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r+288*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^3+96*I*Pi*b*d^3*r*csgn(I*c*x^n)^3+408*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-54*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^2*csgn(I*c)*x^r-408*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-408*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+171*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+288*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-48*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+564*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r+54*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^3*x^r+27*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+54*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+66*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^3+408*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+582*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-6*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+72*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3+102*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^3*(x^r)^3+564*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r)/(-2+3*r)^2/x^2/(r-1)^2/(r-2)^2","C"
397,1,4027,183,0.492000," ","int((d+e*x^r)^3*(b*ln(c*x^n)+a)/x^5,x)","\text{output too large to display}"," ",0,"-1/4*b*(-4*e^3*r^2*(x^r)^3-18*d*e^2*r^2*(x^r)^2+24*e^3*r*(x^r)^3+3*d^3*r^3-36*d^2*e*r^2*x^r+96*d*e^2*r*(x^r)^2-32*e^3*(x^r)^3-22*d^3*r^2+120*d^2*e*r*x^r-96*d*e^2*(x^r)^2+48*d^3*r-96*d^2*e*x^r-32*d^3)/x^4/(-4+3*r)/(r-2)/(r-4)*ln(x^n)-1/16*(-14592*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-528*a*d^3*r^5+3088*a*d^3*r^4+216*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-18048*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+1368*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+1368*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+2304*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-6144*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+9*b*d^3*n*r^6-132*b*d^3*n*r^5+772*b*d^3*n*r^4+4096*a*e^3*(x^r)^3+4096*a*d^3+15360*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+6528*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-6528*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-6528*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+36*ln(c)*b*d^3*r^6-528*ln(c)*b*d^3*r^5+3088*ln(c)*b*d^3*r^4-9216*ln(c)*b*d^3*r^3+14848*ln(c)*b*d^3*r^2-12288*ln(c)*b*d^3*r+36*a*d^3*r^6+1024*b*d^3*n-48*a*e^3*r^5*(x^r)^3+640*a*e^3*r^4*(x^r)^3+4096*ln(c)*b*e^3*(x^r)^3+1024*b*e^3*n*(x^r)^3-3264*a*e^3*r^3*(x^r)^3+7936*a*e^3*r^2*(x^r)^3-9216*a*e^3*r*(x^r)^3+12288*a*d*e^2*(x^r)^2+12288*a*d^2*e*x^r-6144*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r-320*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^3*(x^r)^3+1544*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2+1544*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)+4096*b*d^3*ln(c)-2304*b*d^3*n*r^3+3712*b*d^3*n*r^2-3072*b*d^3*n*r-9216*a*d^3*r^3+14848*a*d^3*r^2-12288*a*d^3*r-18*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-30720*ln(c)*b*d*e^2*r*(x^r)^2-18624*ln(c)*b*d^2*e*r^3*x^r+36096*ln(c)*b*d^2*e*r^2*x^r-33792*ln(c)*b*d^2*e*r*x^r-13056*ln(c)*b*d*e^2*r^3*(x^r)^2+29184*ln(c)*b*d*e^2*r^2*(x^r)^2-7680*b*d^2*e*n*r*x^r+4224*b*d*e^2*n*r^2*(x^r)^2+7104*b*d^2*e*n*r^2*x^r-1368*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^3*(x^r)^2-2048*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+6144*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+6144*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+6144*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+2048*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)-18*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^3-216*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+18*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)^2+7424*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)+18*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^2*csgn(I*c)-264*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)+4608*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+9312*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-24*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+264*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1632*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^3*(x^r)^3+24*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^3*(x^r)^3+3072*b*d^2*e*n*x^r-13056*a*d*e^2*r^3*(x^r)^2+29184*a*d*e^2*r^2*(x^r)^2-30720*a*d*e^2*r*(x^r)^2-18624*a*d^2*e*r^3*x^r+36096*a*d^2*e*r^2*x^r-2048*I*Pi*b*d^3*csgn(I*c*x^n)^3+16896*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r+15360*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+16896*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+108*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-216*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^2*csgn(I*c)*x^r-264*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2+4608*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^3+6144*I*Pi*b*d^3*r*csgn(I*c*x^n)^3-1368*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-14592*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+2304*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^2*csgn(I*c)*x^r-4608*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-2304*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-15360*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-108*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-108*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+264*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^3-192*b*e^3*n*r^3*(x^r)^3-216*a*d*e^2*r^5*(x^r)^2+2736*a*d*e^2*r^4*(x^r)^2-432*a*d^2*e*r^5*x^r+4608*a*d^2*e*r^4*x^r+832*b*e^3*n*r^2*(x^r)^3-1536*b*e^3*n*r*(x^r)^3+3072*b*d*e^2*n*(x^r)^2-9312*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-9312*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+16*b*e^3*n*r^4*(x^r)^3-33792*a*d^2*e*r*x^r+12288*ln(c)*b*d^2*e*x^r+12288*ln(c)*b*d*e^2*(x^r)^2-48*ln(c)*b*e^3*r^5*(x^r)^3+640*ln(c)*b*e^3*r^4*(x^r)^3-3264*ln(c)*b*e^3*r^3*(x^r)^3+7936*ln(c)*b*e^3*r^2*(x^r)^3-9216*ln(c)*b*e^3*r*(x^r)^3+4608*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4608*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)-6144*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2-6144*I*Pi*b*d^3*r*csgn(I*c*x^n)^2*csgn(I*c)-16896*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+216*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^3*x^r-3968*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+14592*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+14592*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+1632*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-18048*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^3*x^r+320*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-2304*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^3*x^r+6144*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-6144*b*d*e^2*n*r*(x^r)^2-216*ln(c)*b*d*e^2*r^5*(x^r)^2+2736*ln(c)*b*d*e^2*r^4*(x^r)^2-432*ln(c)*b*d^2*e*r^5*x^r+4608*ln(c)*b*d^2*e*r^4*x^r+108*b*d*e^2*n*r^4*(x^r)^2-1152*b*d*e^2*n*r^3*(x^r)^2+432*b*d^2*e*n*r^4*x^r-2880*b*d^2*e*n*r^3*x^r-1544*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+18048*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-6144*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+108*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^3*(x^r)^2+2048*I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+7424*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-2048*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+9312*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^3*x^r-4608*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-4608*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+24*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-15360*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-16896*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+18048*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-320*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-1632*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-1632*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-24*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+3968*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+320*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-7424*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3968*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+6528*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-6144*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2+2048*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-3968*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^3*(x^r)^3-1544*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^3-7424*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^3-2048*I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3+2048*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+6144*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4608*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3)/(-4+3*r)^2/x^4/(r-2)^2/(r-4)^2","C"
398,1,4031,147,0.506000," ","int(x^4*(d+e*x^r)^3*(b*ln(c*x^n)+a),x)","\text{output too large to display}"," ",0,"1/5*x^5*b*(10*e^3*r^2*(x^r)^3+45*d*e^2*r^2*(x^r)^2+75*e^3*r*(x^r)^3+6*d^3*r^3+90*d^2*e*r^2*x^r+300*d*e^2*r*(x^r)^2+125*e^3*(x^r)^3+55*d^3*r^2+375*d^2*e*r*x^r+375*d*e^2*(x^r)^2+150*d^3*r+375*d^2*e*x^r+125*d^3)/(5+3*r)/(2*r+5)/(r+5)*ln(x^n)-1/50*x^5*(-6600*a*d^3*r^5-48250*a*d^3*r^4+36000*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+3300*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-181875*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+140625*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-440625*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+72*b*d^3*n*r^6+1320*b*d^3*n*r^5+9650*b*d^3*n*r^4-156250*a*e^3*(x^r)^3-156250*a*d^3-360*ln(c)*b*d^3*r^6-6600*ln(c)*b*d^3*r^5-48250*ln(c)*b*d^3*r^4-180000*ln(c)*b*d^3*r^3-362500*ln(c)*b*d^3*r^2-375000*ln(c)*b*d^3*r+24125*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+21375*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^3*(x^r)^2+78125*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-234375*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-360*a*d^3*r^6+31250*b*d^3*n-600*a*e^3*r^5*(x^r)^3-10000*a*e^3*r^4*(x^r)^3-156250*ln(c)*b*e^3*(x^r)^3+31250*b*e^3*n*(x^r)^3-63750*a*e^3*r^3*(x^r)^3-193750*a*e^3*r^2*(x^r)^3-281250*a*e^3*r*(x^r)^3-468750*a*d*e^2*(x^r)^2-468750*a*d^2*e*x^r-187500*I*Pi*b*d^3*r*csgn(I*c*x^n)^2*csgn(I*c)-156250*b*d^3*ln(c)+36000*b*d^3*n*r^3+72500*b*d^3*n*r^2+75000*b*d^3*n*r+2700*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+21375*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+1350*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-180000*a*d^3*r^3-362500*a*d^3*r^2-375000*a*d^3*r-937500*ln(c)*b*d*e^2*r*(x^r)^2-363750*ln(c)*b*d^2*e*r^3*x^r-881250*ln(c)*b*d^2*e*r^2*x^r-1031250*ln(c)*b*d^2*e*r*x^r-255000*ln(c)*b*d*e^2*r^3*(x^r)^2-712500*ln(c)*b*d*e^2*r^2*(x^r)^2+187500*b*d^2*e*n*r*x^r+82500*b*d*e^2*n*r^2*(x^r)^2+138750*b*d^2*e*n*r^2*x^r+187500*I*Pi*b*d^3*r*csgn(I*c*x^n)^3+78125*I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3-78125*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2-78125*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+180*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^3+3300*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^3+24125*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^3+90000*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^3-180*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)^2-90000*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)-181250*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)-440625*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-468750*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-1350*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+234375*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+78125*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+440625*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+93750*b*d^2*e*n*x^r-255000*a*d*e^2*r^3*(x^r)^2-712500*a*d*e^2*r^2*(x^r)^2-937500*a*d*e^2*r*(x^r)^2-363750*a*d^2*e*r^3*x^r-881250*a*d^2*e*r^2*x^r-36000*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^2*csgn(I*c)*x^r+96875*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-181875*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r-21375*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-36000*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+300*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-468750*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+468750*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+356250*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-515625*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-515625*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+234375*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-1350*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+356250*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-140625*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-140625*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+440625*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^3*x^r+78125*I*Pi*b*d^3*csgn(I*c*x^n)^3+3000*b*e^3*n*r^3*(x^r)^3-2700*a*d*e^2*r^5*(x^r)^2-42750*a*d*e^2*r^4*(x^r)^2-5400*a*d^2*e*r^5*x^r-72000*a*d^2*e*r^4*x^r+16250*b*e^3*n*r^2*(x^r)^3+37500*b*e^3*n*r*(x^r)^3+93750*b*d*e^2*n*(x^r)^2+200*b*e^3*n*r^4*(x^r)^3-1031250*a*d^2*e*r*x^r-468750*ln(c)*b*d^2*e*x^r-468750*ln(c)*b*d*e^2*(x^r)^2-600*ln(c)*b*e^3*r^5*(x^r)^3-10000*ln(c)*b*e^3*r^4*(x^r)^3-63750*ln(c)*b*e^3*r^3*(x^r)^3-193750*ln(c)*b*e^3*r^2*(x^r)^3-281250*ln(c)*b*e^3*r*(x^r)^3-78125*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+140625*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3-180*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^2*csgn(I*c)-3300*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2+234375*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2+181875*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^3*x^r-356250*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-356250*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-5000*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+181250*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+90000*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-96875*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+181250*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^3+96875*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^3*(x^r)^3+31875*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^3*(x^r)^3+234375*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r+300*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^3*(x^r)^3+5000*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^3*(x^r)^3-3300*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)+150000*b*d*e^2*n*r*(x^r)^2-2700*ln(c)*b*d*e^2*r^5*(x^r)^2-42750*ln(c)*b*d*e^2*r^4*(x^r)^2-5400*ln(c)*b*d^2*e*r^5*x^r-72000*ln(c)*b*d^2*e*r^4*x^r+1350*b*d*e^2*n*r^4*(x^r)^2+18000*b*d*e^2*n*r^3*(x^r)^2+5400*b*d^2*e*n*r^4*x^r+45000*b*d^2*e*n*r^3*x^r+5000*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-2700*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-2700*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^2*csgn(I*c)*x^r-21375*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+1350*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^3*(x^r)^2-5000*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+2700*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^3*x^r+36000*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^3*x^r-24125*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2-24125*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)-78125*I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+181875*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+127500*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+515625*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+31875*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-127500*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-127500*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-234375*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-234375*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r-96875*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-31875*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-31875*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-181250*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-90000*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-187500*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2+468750*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+127500*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-300*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-300*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+515625*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r-234375*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+187500*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+180*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))/(5+3*r)^2/(2*r+5)^2/(r+5)^2","C"
399,1,4027,142,0.502000," ","int(x^2*(d+e*x^r)^3*(b*ln(c*x^n)+a),x)","\text{output too large to display}"," ",0,"1/3*b*x^3*(2*e^3*r^2*(x^r)^3+9*d*e^2*r^2*(x^r)^2+9*e^3*r*(x^r)^3+2*d^3*r^3+18*d^2*e*r^2*x^r+36*d*e^2*r*(x^r)^2+9*e^3*(x^r)^3+11*d^3*r^2+45*d^2*e*r*x^r+27*d*e^2*(x^r)^2+18*d^3*r+27*d^2*e*x^r+9*d^3)/(r+1)/(2*r+3)/(r+3)*ln(x^n)-1/18*x^3*(-264*a*d^3*r^5-1158*a*d^3*r^4+3807*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+8*b*d^3*n*r^6+88*b*d^3*n*r^5+386*b*d^3*n*r^4-486*a*e^3*(x^r)^3-486*a*d^3-24*ln(c)*b*d^3*r^6-264*ln(c)*b*d^3*r^5-1158*ln(c)*b*d^3*r^4-2592*ln(c)*b*d^3*r^3-3132*ln(c)*b*d^3*r^2-1944*ln(c)*b*d^3*r-24*a*d^3*r^6+162*b*d^3*n-24*a*e^3*r^5*(x^r)^3-240*a*e^3*r^4*(x^r)^3-486*ln(c)*b*e^3*(x^r)^3+162*b*e^3*n*(x^r)^3-918*a*e^3*r^3*(x^r)^3-1674*a*e^3*r^2*(x^r)^3-1458*a*e^3*r*(x^r)^3-1458*a*d*e^2*(x^r)^2-1458*a*d^2*e*x^r-486*b*d^3*ln(c)+864*b*d^3*n*r^3+1044*b*d^3*n*r^2+648*b*d^3*n*r-132*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2+729*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2-243*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+729*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3+3078*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+864*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-2592*a*d^3*r^3-3132*a*d^3*r^2-1944*a*d^3*r+243*I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3-243*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2-243*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+12*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^3+132*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^3+1296*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^3-4860*ln(c)*b*d*e^2*r*(x^r)^2-5238*ln(c)*b*d^2*e*r^3*x^r-7614*ln(c)*b*d^2*e*r^2*x^r-5346*ln(c)*b*d^2*e*r*x^r-3672*ln(c)*b*d*e^2*r^3*(x^r)^2-6156*ln(c)*b*d*e^2*r^2*(x^r)^2+1620*b*d^2*e*n*r*x^r+1188*b*d*e^2*n*r^2*(x^r)^2+1998*b*d^2*e*n*r^2*x^r+120*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^3*(x^r)^3-579*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2-579*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)+729*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-3807*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-2430*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+1566*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^3+972*I*Pi*b*d^3*r*csgn(I*c*x^n)^3+2430*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+2673*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+2619*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+243*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-12*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)^2-1296*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)-1566*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)+486*b*d^2*e*n*x^r-3672*a*d*e^2*r^3*(x^r)^2-6156*a*d*e^2*r^2*(x^r)^2-4860*a*d*e^2*r*(x^r)^2-5238*a*d^2*e*r^3*x^r-7614*a*d^2*e*r^2*x^r+837*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+579*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^3+54*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+108*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-54*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+729*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-729*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-729*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-729*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r-837*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+972*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+12*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+132*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+243*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-3078*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-3078*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+459*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-1836*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+729*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r+12*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^3*(x^r)^3-132*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)-243*I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+1836*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-2619*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+729*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-3807*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-2673*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-2673*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r-2619*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r-1836*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-459*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-459*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+1566*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1296*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+72*b*e^3*n*r^3*(x^r)^3-108*a*d*e^2*r^5*(x^r)^2-1026*a*d*e^2*r^4*(x^r)^2-216*a*d^2*e*r^5*x^r-1728*a*d^2*e*r^4*x^r+234*b*e^3*n*r^2*(x^r)^3+324*b*e^3*n*r*(x^r)^3+486*b*d*e^2*n*(x^r)^2+243*I*Pi*b*d^3*csgn(I*c*x^n)^3+8*b*e^3*n*r^4*(x^r)^3-5346*a*d^2*e*r*x^r-1458*ln(c)*b*d^2*e*x^r-1458*ln(c)*b*d*e^2*(x^r)^2-24*ln(c)*b*e^3*r^5*(x^r)^3-240*ln(c)*b*e^3*r^4*(x^r)^3-918*ln(c)*b*e^3*r^3*(x^r)^3-1674*ln(c)*b*e^3*r^2*(x^r)^3-1458*ln(c)*b*e^3*r*(x^r)^3+54*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^3*(x^r)^2+108*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^3*x^r+2673*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r-729*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-108*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-108*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^2*csgn(I*c)*x^r+12*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-729*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-12*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^2*csgn(I*c)+864*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^3*x^r+579*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-120*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-120*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+513*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^3*(x^r)^2+120*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-513*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-513*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-1566*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1296*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-972*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2-972*I*Pi*b*d^3*r*csgn(I*c*x^n)^2*csgn(I*c)+837*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^3*(x^r)^3+459*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^3*(x^r)^3+1296*b*d*e^2*n*r*(x^r)^2-108*ln(c)*b*d*e^2*r^5*(x^r)^2-1026*ln(c)*b*d*e^2*r^4*(x^r)^2-216*ln(c)*b*d^2*e*r^5*x^r-1728*ln(c)*b*d^2*e*r^4*x^r+54*b*d*e^2*n*r^4*(x^r)^2+432*b*d*e^2*n*r^3*(x^r)^2+216*b*d^2*e*n*r^4*x^r+1080*b*d^2*e*n*r^3*x^r-729*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+3807*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^3*x^r+2430*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+1836*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-864*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-864*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^2*csgn(I*c)*x^r-2430*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-54*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-837*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+2619*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^3*x^r+3078*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-12*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-12*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+513*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2)/(r+1)^2/(2*r+3)^2/(r+3)^2","C"
400,1,4023,169,0.486000," ","int((d+e*x^r)^3*(b*ln(c*x^n)+a),x)","\text{output too large to display}"," ",0,"b*x*(2*e^3*r^2*(x^r)^3+9*d*e^2*r^2*(x^r)^2+3*e^3*r*(x^r)^3+6*d^3*r^3+18*d^2*e*r^2*x^r+12*d*e^2*r*(x^r)^2+e^3*(x^r)^3+11*d^3*r^2+15*d^2*e*r*x^r+3*d*e^2*(x^r)^2+6*d^3*r+3*d^2*e*x^r+d^3)/(1+3*r)/(2*r+1)/(r+1)*ln(x^n)-1/2*x*(-264*a*d^3*r^5-386*a*d^3*r^4+171*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+72*b*d^3*n*r^6+264*b*d^3*n*r^5+386*b*d^3*n*r^4-2*a*e^3*(x^r)^3-2*a*d^3+9*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-141*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-30*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-72*ln(c)*b*d^3*r^6-264*ln(c)*b*d^3*r^5-386*ln(c)*b*d^3*r^4-288*ln(c)*b*d^3*r^3-116*ln(c)*b*d^3*r^2-24*ln(c)*b*d^3*r-72*a*d^3*r^6+2*b*d^3*n-24*a*e^3*r^5*(x^r)^3-80*a*e^3*r^4*(x^r)^3-2*ln(c)*b*e^3*(x^r)^3+2*b*e^3*n*(x^r)^3-102*a*e^3*r^3*(x^r)^3-62*a*e^3*r^2*(x^r)^3-18*a*e^3*r*(x^r)^3-6*a*d*e^2*(x^r)^2-6*a*d^2*e*x^r+114*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-2*b*d^3*ln(c)+288*b*d^3*n*r^3+116*b*d^3*n*r^2+24*b*d^3*n*r-132*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-58*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-288*a*d^3*r^3-116*a*d^3*r^2-24*a*d^3*r+132*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^3-60*ln(c)*b*d*e^2*r*(x^r)^2-582*ln(c)*b*d^2*e*r^3*x^r-282*ln(c)*b*d^2*e*r^2*x^r-66*ln(c)*b*d^2*e*r*x^r-408*ln(c)*b*d*e^2*r^3*(x^r)^2-228*ln(c)*b*d*e^2*r^2*(x^r)^2+60*b*d^2*e*n*r*x^r+132*b*d*e^2*n*r^2*(x^r)^2+222*b*d^2*e*n*r^2*x^r-291*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r-171*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-171*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-51*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-51*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+58*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+144*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-36*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^2*csgn(I*c)+3*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2-I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-30*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+3*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+31*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+6*b*d^2*e*n*x^r-408*a*d*e^2*r^3*(x^r)^2-228*a*d*e^2*r^2*(x^r)^2-60*a*d*e^2*r*(x^r)^2-582*a*d^2*e*r^3*x^r-282*a*d^2*e*r^2*x^r+288*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+171*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^3*(x^r)^2+I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+40*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^3*(x^r)^3-193*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2+54*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+108*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-54*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+132*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-12*I*Pi*b*d^3*r*csgn(I*c*x^n)^2*csgn(I*c)+12*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^3*(x^r)^3-36*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)^2-132*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)-144*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)-204*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-204*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-291*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+288*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^3*x^r+193*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+193*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^3+I*Pi*b*d^3*csgn(I*c*x^n)^3+24*b*e^3*n*r^3*(x^r)^3-108*a*d*e^2*r^5*(x^r)^2-342*a*d*e^2*r^4*(x^r)^2-216*a*d^2*e*r^5*x^r-576*a*d^2*e*r^4*x^r+26*b*e^3*n*r^2*(x^r)^3+12*b*e^3*n*r*(x^r)^3+6*b*d*e^2*n*(x^r)^2-33*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-33*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+3*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-141*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r+8*b*e^3*n*r^4*(x^r)^3-66*a*d^2*e*r*x^r-6*ln(c)*b*d^2*e*x^r-6*ln(c)*b*d*e^2*(x^r)^2-24*ln(c)*b*e^3*r^5*(x^r)^3-80*ln(c)*b*e^3*r^4*(x^r)^3-102*ln(c)*b*e^3*r^3*(x^r)^3-62*ln(c)*b*e^3*r^2*(x^r)^3-18*ln(c)*b*e^3*r*(x^r)^3-9*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+141*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^3*x^r+30*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+204*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-58*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)+54*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^3*(x^r)^2+108*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^3*x^r-288*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-114*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-114*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+51*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-108*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-108*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^2*csgn(I*c)*x^r+12*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+12*I*Pi*b*d^3*r*csgn(I*c*x^n)^3-I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+144*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^3+I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3+58*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^3+141*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+30*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-144*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2-40*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-40*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-288*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^2*csgn(I*c)*x^r+40*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+48*b*d*e^2*n*r*(x^r)^2-108*ln(c)*b*d*e^2*r^5*(x^r)^2-342*ln(c)*b*d*e^2*r^4*(x^r)^2-216*ln(c)*b*d^2*e*r^5*x^r-576*ln(c)*b*d^2*e*r^4*x^r+54*b*d*e^2*n*r^4*(x^r)^2+144*b*d*e^2*n*r^3*(x^r)^2+216*b*d^2*e*n*r^4*x^r+360*b*d^2*e*n*r^3*x^r-31*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+291*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^3*x^r+114*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-9*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+9*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3+31*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^3*(x^r)^3+51*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^3*(x^r)^3+3*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r+33*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+291*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+204*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-54*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+33*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r-3*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+12*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+36*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-3*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-3*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r-31*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-12*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-12*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-193*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)+36*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^3)/(1+3*r)^2/(2*r+1)^2/(r+1)^2","C"
401,1,4031,179,0.506000," ","int((d+e*x^r)^3*(b*ln(c*x^n)+a)/x^2,x)","\text{output too large to display}"," ",0,"-b*(-2*e^3*r^2*(x^r)^3-9*d*e^2*r^2*(x^r)^2+3*e^3*r*(x^r)^3+6*d^3*r^3-18*d^2*e*r^2*x^r+12*d*e^2*r*(x^r)^2-e^3*(x^r)^3-11*d^3*r^2+15*d^2*e*r*x^r-3*d*e^2*(x^r)^2+6*d^3*r-3*d^2*e*x^r-d^3)/x/(-1+3*r)/(2*r-1)/(r-1)*ln(x^n)-1/2*(-264*a*d^3*r^5+386*a*d^3*r^4-141*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+72*b*d^3*n*r^6-264*b*d^3*n*r^5+386*b*d^3*n*r^4+2*a*e^3*(x^r)^3+2*a*d^3+9*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-30*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+72*ln(c)*b*d^3*r^6-264*ln(c)*b*d^3*r^5+386*ln(c)*b*d^3*r^4-288*ln(c)*b*d^3*r^3+116*ln(c)*b*d^3*r^2-24*ln(c)*b*d^3*r+72*a*d^3*r^6+2*b*d^3*n-24*a*e^3*r^5*(x^r)^3+80*a*e^3*r^4*(x^r)^3+2*ln(c)*b*e^3*(x^r)^3+2*b*e^3*n*(x^r)^3-102*a*e^3*r^3*(x^r)^3+62*a*e^3*r^2*(x^r)^3-18*a*e^3*r*(x^r)^3+6*a*d*e^2*(x^r)^2+6*a*d^2*e*x^r+2*b*d^3*ln(c)-288*b*d^3*n*r^3+116*b*d^3*n*r^2-24*b*d^3*n*r-132*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2-288*a*d^3*r^3+116*a*d^3*r^2-24*a*d^3*r+132*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^3-60*ln(c)*b*d*e^2*r*(x^r)^2-582*ln(c)*b*d^2*e*r^3*x^r+282*ln(c)*b*d^2*e*r^2*x^r-66*ln(c)*b*d^2*e*r*x^r-408*ln(c)*b*d*e^2*r^3*(x^r)^2+228*ln(c)*b*d*e^2*r^2*(x^r)^2-60*b*d^2*e*n*r*x^r+132*b*d*e^2*n*r^2*(x^r)^2+222*b*d^2*e*n*r^2*x^r+141*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-291*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r-51*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-51*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+144*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+58*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)^2+58*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)-30*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+6*b*d^2*e*n*x^r-408*a*d*e^2*r^3*(x^r)^2+228*a*d*e^2*r^2*(x^r)^2-60*a*d*e^2*r*(x^r)^2-582*a*d^2*e*r^3*x^r+282*a*d^2*e*r^2*x^r+40*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-288*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^3*x^r+54*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-171*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+108*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-54*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+3*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+132*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*d^3*csgn(I*c*x^n)^3-12*I*Pi*b*d^3*r*csgn(I*c*x^n)^2*csgn(I*c)+12*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^3*(x^r)^3-132*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)-144*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)+114*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-3*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-288*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-40*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+171*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+141*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-3*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+288*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^2*csgn(I*c)*x^r-204*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-204*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-291*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)-24*b*e^3*n*r^3*(x^r)^3-108*a*d*e^2*r^5*(x^r)^2+342*a*d*e^2*r^4*(x^r)^2-216*a*d^2*e*r^5*x^r+576*a*d^2*e*r^4*x^r+26*b*e^3*n*r^2*(x^r)^3-12*b*e^3*n*r*(x^r)^3+6*b*d*e^2*n*(x^r)^2-33*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-33*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+8*b*e^3*n*r^4*(x^r)^3-66*a*d^2*e*r*x^r+6*ln(c)*b*d^2*e*x^r+6*ln(c)*b*d*e^2*(x^r)^2-24*ln(c)*b*e^3*r^5*(x^r)^3+80*ln(c)*b*e^3*r^4*(x^r)^3-102*ln(c)*b*e^3*r^3*(x^r)^3+62*ln(c)*b*e^3*r^2*(x^r)^3-18*ln(c)*b*e^3*r*(x^r)^3-9*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+30*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+204*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2+54*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^3*(x^r)^2+108*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^3*x^r-193*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^3+51*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-108*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-108*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^2*csgn(I*c)*x^r+12*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-193*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-171*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^3*(x^r)^2+12*I*Pi*b*d^3*r*csgn(I*c*x^n)^3+144*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^3+30*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-40*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^3*(x^r)^3+193*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2+193*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)+40*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-144*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2-48*b*d*e^2*n*r*(x^r)^2-108*ln(c)*b*d*e^2*r^5*(x^r)^2+342*ln(c)*b*d*e^2*r^4*(x^r)^2-216*ln(c)*b*d^2*e*r^5*x^r+576*ln(c)*b*d^2*e*r^4*x^r+54*b*d*e^2*n*r^4*(x^r)^2-144*b*d*e^2*n*r^3*(x^r)^2+216*b*d^2*e*n*r^4*x^r-360*b*d^2*e*n*r^3*x^r+291*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^3*x^r-9*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+36*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^2*csgn(I*c)-31*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+114*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+9*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3+51*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^3*(x^r)^3+171*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+288*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-114*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+33*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+291*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+204*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-3*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2-31*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^3*(x^r)^3-3*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r-54*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+33*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r+12*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+3*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+31*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-58*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^3-I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3-36*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^3-12*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-12*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+31*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-114*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-141*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^3*x^r+3*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-36*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-58*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))/(-1+3*r)^2/x/(2*r-1)^2/(r-1)^2","C"
402,1,4027,183,0.489000," ","int((d+e*x^r)^3*(b*ln(c*x^n)+a)/x^4,x)","\text{output too large to display}"," ",0,"-1/3*b*(-2*e^3*r^2*(x^r)^3-9*d*e^2*r^2*(x^r)^2+9*e^3*r*(x^r)^3+2*d^3*r^3-18*d^2*e*r^2*x^r+36*d*e^2*r*(x^r)^2-9*e^3*(x^r)^3-11*d^3*r^2+45*d^2*e*r*x^r-27*d*e^2*(x^r)^2+18*d^3*r-27*d^2*e*x^r-9*d^3)/x^3/(r-1)/(2*r-3)/(r-3)*ln(x^n)-1/18*(3078*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+3078*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+3807*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-120*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+513*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+513*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+864*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-729*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-264*a*d^3*r^5+1158*a*d^3*r^4+8*b*d^3*n*r^6-88*b*d^3*n*r^5+386*b*d^3*n*r^4+486*a*e^3*(x^r)^3+486*a*d^3+24*ln(c)*b*d^3*r^6-264*ln(c)*b*d^3*r^5+1158*ln(c)*b*d^3*r^4-2592*ln(c)*b*d^3*r^3+3132*ln(c)*b*d^3*r^2-1944*ln(c)*b*d^3*r+24*a*d^3*r^6+162*b*d^3*n-24*a*e^3*r^5*(x^r)^3+240*a*e^3*r^4*(x^r)^3+486*ln(c)*b*e^3*(x^r)^3+162*b*e^3*n*(x^r)^3-918*a*e^3*r^3*(x^r)^3+1674*a*e^3*r^2*(x^r)^3-1458*a*e^3*r*(x^r)^3+1458*a*d*e^2*(x^r)^2+1458*a*d^2*e*x^r+486*b*d^3*ln(c)-864*b*d^3*n*r^3+1044*b*d^3*n*r^2-648*b*d^3*n*r-132*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2+729*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3-2592*a*d^3*r^3+3132*a*d^3*r^2-1944*a*d^3*r+132*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^3+1296*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^3-4860*ln(c)*b*d*e^2*r*(x^r)^2-5238*ln(c)*b*d^2*e*r^3*x^r+7614*ln(c)*b*d^2*e*r^2*x^r-5346*ln(c)*b*d^2*e*r*x^r-3672*ln(c)*b*d*e^2*r^3*(x^r)^2+6156*ln(c)*b*d*e^2*r^2*(x^r)^2-1620*b*d^2*e*n*r*x^r+1188*b*d*e^2*n*r^2*(x^r)^2+1998*b*d^2*e*n*r^2*x^r+1566*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)+12*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^2*csgn(I*c)-729*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2-1566*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^3-243*I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3+3807*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-2430*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+972*I*Pi*b*d^3*r*csgn(I*c*x^n)^3+579*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2+579*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)+243*I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+1566*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+2430*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+2673*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+2619*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-1296*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)-243*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+12*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)^2+243*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+243*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)-12*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^3-579*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^3+486*b*d^2*e*n*x^r-3672*a*d*e^2*r^3*(x^r)^2+6156*a*d*e^2*r^2*(x^r)^2-4860*a*d*e^2*r*(x^r)^2-5238*a*d^2*e*r^3*x^r+7614*a*d^2*e*r^2*x^r-243*I*Pi*b*d^3*csgn(I*c*x^n)^3+54*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+108*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-729*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-54*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+864*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^2*csgn(I*c)*x^r-837*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-579*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-513*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^3*(x^r)^2+972*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+132*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+459*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-1836*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+12*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^3*(x^r)^3-132*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)+1836*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-2619*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+729*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-2673*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-2673*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+837*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+120*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-2619*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r-1836*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-459*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-459*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+1296*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-72*b*e^3*n*r^3*(x^r)^3-108*a*d*e^2*r^5*(x^r)^2+1026*a*d*e^2*r^4*(x^r)^2-216*a*d^2*e*r^5*x^r+1728*a*d^2*e*r^4*x^r+234*b*e^3*n*r^2*(x^r)^3-324*b*e^3*n*r*(x^r)^3+486*b*d*e^2*n*(x^r)^2-864*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-513*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-3078*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+8*b*e^3*n*r^4*(x^r)^3-5346*a*d^2*e*r*x^r+1458*ln(c)*b*d^2*e*x^r+1458*ln(c)*b*d*e^2*(x^r)^2-24*ln(c)*b*e^3*r^5*(x^r)^3+240*ln(c)*b*e^3*r^4*(x^r)^3-918*ln(c)*b*e^3*r^3*(x^r)^3+1674*ln(c)*b*e^3*r^2*(x^r)^3-1458*ln(c)*b*e^3*r*(x^r)^3+54*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^3*(x^r)^2+108*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^3*x^r+2673*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r-108*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-108*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^2*csgn(I*c)*x^r+12*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-729*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-1566*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+837*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-1296*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-972*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2-972*I*Pi*b*d^3*r*csgn(I*c*x^n)^2*csgn(I*c)-3078*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-3807*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^3*x^r+120*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-864*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^3*x^r+459*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^3*(x^r)^3-1296*b*d*e^2*n*r*(x^r)^2-108*ln(c)*b*d*e^2*r^5*(x^r)^2+1026*ln(c)*b*d*e^2*r^4*(x^r)^2-216*ln(c)*b*d^2*e*r^5*x^r+1728*ln(c)*b*d^2*e*r^4*x^r+54*b*d*e^2*n*r^4*(x^r)^2-432*b*d*e^2*n*r^3*(x^r)^2+216*b*d^2*e*n*r^4*x^r-1080*b*d^2*e*n*r^3*x^r-729*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+2430*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+1836*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-2430*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-54*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-243*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+729*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+729*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+729*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+2619*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^3*x^r-12*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-12*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-3807*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+729*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-12*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+243*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-837*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^3*(x^r)^3-729*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r-120*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^3*(x^r)^3)/(r-1)^2/x^3/(2*r-3)^2/(r-3)^2","C"
403,1,4031,179,0.521000," ","int((d+e*x^r)^3*(b*ln(c*x^n)+a)/x^6,x)","\text{output too large to display}"," ",0,"-1/5*b*(-10*e^3*r^2*(x^r)^3-45*d*e^2*r^2*(x^r)^2+75*e^3*r*(x^r)^3+6*d^3*r^3-90*d^2*e*r^2*x^r+300*d*e^2*r*(x^r)^2-125*e^3*(x^r)^3-55*d^3*r^2+375*d^2*e*r*x^r-375*d*e^2*(x^r)^2+150*d^3*r-375*d^2*e*x^r-125*d^3)/x^5/(-5+3*r)/(2*r-5)/(r-5)*ln(x^n)-1/50*(440625*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-234375*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+36000*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^2*csgn(I*c)*x^r-96875*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+356250*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+356250*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-6600*a*d^3*r^5+48250*a*d^3*r^4+3300*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-181875*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+140625*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+72*b*d^3*n*r^6-1320*b*d^3*n*r^5+9650*b*d^3*n*r^4+156250*a*e^3*(x^r)^3+156250*a*d^3+360*ln(c)*b*d^3*r^6-6600*ln(c)*b*d^3*r^5+48250*ln(c)*b*d^3*r^4-180000*ln(c)*b*d^3*r^3+362500*ln(c)*b*d^3*r^2-375000*ln(c)*b*d^3*r+360*a*d^3*r^6+31250*b*d^3*n+180*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)^2+181250*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)-600*a*e^3*r^5*(x^r)^3+10000*a*e^3*r^4*(x^r)^3+156250*ln(c)*b*e^3*(x^r)^3+31250*b*e^3*n*(x^r)^3-63750*a*e^3*r^3*(x^r)^3+193750*a*e^3*r^2*(x^r)^3-281250*a*e^3*r*(x^r)^3+468750*a*d*e^2*(x^r)^2+468750*a*d^2*e*x^r-187500*I*Pi*b*d^3*r*csgn(I*c*x^n)^2*csgn(I*c)+156250*b*d^3*ln(c)-36000*b*d^3*n*r^3+72500*b*d^3*n*r^2-75000*b*d^3*n*r+2700*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-21375*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+1350*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-180000*a*d^3*r^3+362500*a*d^3*r^2-375000*a*d^3*r-937500*ln(c)*b*d*e^2*r*(x^r)^2-363750*ln(c)*b*d^2*e*r^3*x^r+881250*ln(c)*b*d^2*e*r^2*x^r-1031250*ln(c)*b*d^2*e*r*x^r-255000*ln(c)*b*d*e^2*r^3*(x^r)^2+712500*ln(c)*b*d*e^2*r^2*(x^r)^2-187500*b*d^2*e*n*r*x^r+82500*b*d*e^2*n*r^2*(x^r)^2+138750*b*d^2*e*n*r^2*x^r+187500*I*Pi*b*d^3*r*csgn(I*c*x^n)^3+3300*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^3+90000*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^3-90000*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)-468750*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-1350*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-180*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^3-78125*I*Pi*b*d^3*csgn(I*c*x^n)^3+440625*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+93750*b*d^2*e*n*x^r-255000*a*d*e^2*r^3*(x^r)^2+712500*a*d*e^2*r^2*(x^r)^2-937500*a*d*e^2*r*(x^r)^2-363750*a*d^2*e*r^3*x^r+881250*a*d^2*e*r^2*x^r+5000*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-24125*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-21375*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^3*(x^r)^2-78125*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+234375*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+36000*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-234375*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+78125*I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+181250*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-78125*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-5000*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+21375*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-181875*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+21375*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-234375*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r+300*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-468750*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+468750*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-515625*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-515625*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r-1350*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-5000*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^3*(x^r)^3+24125*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2+24125*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)-140625*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-140625*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+234375*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+234375*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+96875*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-3000*b*e^3*n*r^3*(x^r)^3-2700*a*d*e^2*r^5*(x^r)^2+42750*a*d*e^2*r^4*(x^r)^2-5400*a*d^2*e*r^5*x^r+72000*a*d^2*e*r^4*x^r+16250*b*e^3*n*r^2*(x^r)^3-37500*b*e^3*n*r*(x^r)^3+93750*b*d*e^2*n*(x^r)^2+200*b*e^3*n*r^4*(x^r)^3-1031250*a*d^2*e*r*x^r+468750*ln(c)*b*d^2*e*x^r+468750*ln(c)*b*d*e^2*(x^r)^2-600*ln(c)*b*e^3*r^5*(x^r)^3+10000*ln(c)*b*e^3*r^4*(x^r)^3-63750*ln(c)*b*e^3*r^3*(x^r)^3+193750*ln(c)*b*e^3*r^2*(x^r)^3-281250*ln(c)*b*e^3*r*(x^r)^3-36000*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^3*x^r+234375*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-180*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-440625*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^3*x^r+140625*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3-3300*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2+181875*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^3*x^r+90000*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+31875*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^3*(x^r)^3+300*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^3*(x^r)^3-3300*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)-150000*b*d*e^2*n*r*(x^r)^2-2700*ln(c)*b*d*e^2*r^5*(x^r)^2+42750*ln(c)*b*d*e^2*r^4*(x^r)^2-5400*ln(c)*b*d^2*e*r^5*x^r+72000*ln(c)*b*d^2*e*r^4*x^r+1350*b*d*e^2*n*r^4*(x^r)^2-18000*b*d*e^2*n*r^3*(x^r)^2+5400*b*d^2*e*n*r^4*x^r-45000*b*d^2*e*n*r^3*x^r-2700*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-2700*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^2*csgn(I*c)*x^r+1350*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^3*(x^r)^2+2700*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^3*x^r-24125*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^3-181250*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^3-78125*I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3+78125*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+78125*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+181875*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-356250*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+127500*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-440625*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+515625*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+31875*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-127500*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-127500*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-31875*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-31875*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+180*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^2*csgn(I*c)-234375*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2+78125*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-96875*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^3*(x^r)^3-90000*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-187500*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2-36000*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+468750*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+127500*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-300*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-300*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+5000*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-181250*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+96875*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-356250*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2+515625*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r+187500*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))/(-5+3*r)^2/x^5/(2*r-5)^2/(r-5)^2","C"
404,1,4031,179,0.513000," ","int((d+e*x^r)^3*(b*ln(c*x^n)+a)/x^8,x)","\text{output too large to display}"," ",0,"-1/7*b*(-14*e^3*r^2*(x^r)^3-63*d*e^2*r^2*(x^r)^2+147*e^3*r*(x^r)^3+6*d^3*r^3-126*d^2*e*r^2*x^r+588*d*e^2*r*(x^r)^2-343*e^3*(x^r)^3-77*d^3*r^2+735*d^2*e*r*x^r-1029*d*e^2*(x^r)^2+294*d^3*r-1029*d^2*e*x^r-343*d^3)/x^7/(-7+3*r)/(2*r-7)/(r-7)*ln(x^n)-1/98*(98784*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^2*csgn(I*c)*x^r-521017*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-698691*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+1915998*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+1915998*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+122451*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-12936*a*d^3*r^5+132398*a*d^3*r^4+72*b*d^3*n*r^6-1848*b*d^3*n*r^5+18914*b*d^3*n*r^4+1647086*a*e^3*(x^r)^3+1647086*a*d^3+504*ln(c)*b*d^3*r^6-12936*ln(c)*b*d^3*r^5+132398*ln(c)*b*d^3*r^4-691488*ln(c)*b*d^3*r^3+1949612*ln(c)*b*d^3*r^2-2823576*ln(c)*b*d^3*r+504*a*d^3*r^6+235298*b*d^3*n-1176*a*e^3*r^5*(x^r)^3+27440*a*e^3*r^4*(x^r)^3+1647086*ln(c)*b*e^3*(x^r)^3+235298*b*e^3*n*(x^r)^3-244902*a*e^3*r^3*(x^r)^3+1042034*a*e^3*r^2*(x^r)^3-2117682*a*e^3*r*(x^r)^3+4941258*a*d*e^2*(x^r)^2+4941258*a*d^2*e*x^r+1647086*b*d^3*ln(c)-98784*b*d^3*n*r^3+278516*b*d^3*n*r^2-403368*b*d^3*n*r-691488*a*d^3*r^3+1949612*a*d^3*r^2-2823576*a*d^3*r-5292*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-5292*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^2*csgn(I*c)*x^r+58653*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+252*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)^2-345744*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)+974806*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)-7058940*ln(c)*b*d*e^2*r*(x^r)^2-1397382*ln(c)*b*d^2*e*r^3*x^r+4739574*ln(c)*b*d^2*e*r^2*x^r-7764834*ln(c)*b*d^2*e*r*x^r-979608*ln(c)*b*d*e^2*r^3*(x^r)^2+3831996*ln(c)*b*d*e^2*r^2*(x^r)^2-1008420*b*d^2*e*n*r*x^r+316932*b*d*e^2*n*r^2*(x^r)^2+533022*b*d^2*e*n*r^2*x^r-2369787*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+58653*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+98784*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-1058841*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-1058841*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-2369787*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^3*x^r+3529470*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2-489804*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-489804*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-2646*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-823543*I*Pi*b*d^3*csgn(I*c*x^n)^3+823543*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+1058841*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3-521017*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^3*(x^r)^3+122451*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^3*(x^r)^3+705894*b*d^2*e*n*x^r-979608*a*d*e^2*r^3*(x^r)^2+3831996*a*d*e^2*r^2*(x^r)^2-7058940*a*d*e^2*r*(x^r)^2-1397382*a*d^2*e*r^3*x^r+4739574*a*d^2*e*r^2*x^r+345744*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+521017*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+698691*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^3*x^r-1915998*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-3529470*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-2646*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-2470629*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-2470629*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r+588*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^3*(x^r)^3-13720*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^3*(x^r)^3-6468*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)-345744*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-1411788*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2-1411788*I*Pi*b*d^3*r*csgn(I*c*x^n)^2*csgn(I*c)-823543*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-698691*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+1058841*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+2369787*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-13720*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+588*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-3529470*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-3882417*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-3882417*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r-2470629*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+2369787*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-252*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+6468*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-252*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^3+6468*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^3-66199*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^3+345744*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^3+66199*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2+66199*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)+823543*I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+974806*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1411788*I*Pi*b*d^3*r*csgn(I*c*x^n)^3-823543*I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3+823543*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+823543*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)-8232*b*e^3*n*r^3*(x^r)^3-5292*a*d*e^2*r^5*(x^r)^2+117306*a*d*e^2*r^4*(x^r)^2-10584*a*d^2*e*r^5*x^r+197568*a*d^2*e*r^4*x^r+62426*b*e^3*n*r^2*(x^r)^3-201684*b*e^3*n*r*(x^r)^3+705894*b*d*e^2*n*(x^r)^2+5292*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+392*b*e^3*n*r^4*(x^r)^3-7764834*a*d^2*e*r*x^r+4941258*ln(c)*b*d^2*e*x^r+4941258*ln(c)*b*d*e^2*(x^r)^2-1176*ln(c)*b*e^3*r^5*(x^r)^3+27440*ln(c)*b*e^3*r^4*(x^r)^3-244902*ln(c)*b*e^3*r^3*(x^r)^3+1042034*ln(c)*b*e^3*r^2*(x^r)^3-2117682*ln(c)*b*e^3*r*(x^r)^3-122451*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+13720*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-974806*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-58653*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-66199*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-974806*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^3-58653*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^3*(x^r)^2-823543*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+2470629*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+489804*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-588*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-588*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-806736*b*d*e^2*n*r*(x^r)^2-5292*ln(c)*b*d*e^2*r^5*(x^r)^2+117306*ln(c)*b*d*e^2*r^4*(x^r)^2-10584*ln(c)*b*d^2*e*r^5*x^r+197568*ln(c)*b*d^2*e*r^4*x^r+2646*b*d*e^2*n*r^4*(x^r)^2-49392*b*d*e^2*n*r^3*(x^r)^2+10584*b*d^2*e*n*r^4*x^r-123480*b*d^2*e*n*r^3*x^r+252*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^2*csgn(I*c)-6468*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2-2470629*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2+3529470*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-1915998*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+3882417*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-98784*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+2470629*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+2470629*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+521017*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-122451*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+698691*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+489804*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+2646*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-98784*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^3*x^r+3882417*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r+2470629*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+1411788*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2646*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^3*(x^r)^2+13720*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+5292*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^3*x^r)/(-7+3*r)^2/x^7/(2*r-7)^2/(r-7)^2","C"
405,1,4027,183,0.523000," ","int((d+e*x^r)^3*(b*ln(c*x^n)+a)/x^10,x)","\text{output too large to display}"," ",0,"-1/9*b*(-6*e^3*r^2*(x^r)^3-27*d*e^2*r^2*(x^r)^2+81*e^3*r*(x^r)^3+2*d^3*r^3-54*d^2*e*r^2*x^r+324*d*e^2*r*(x^r)^2-243*e^3*(x^r)^3-33*d^3*r^2+405*d^2*e*r*x^r-729*d*e^2*(x^r)^2+162*d^3*r-729*d^2*e*x^r-243*d^3)/x^9/(r-3)/(-9+2*r)/(-9+r)*ln(x^n)-1/162*(-2376*a*d^3*r^5+31266*a*d^3*r^4+8*b*d^3*n*r^6-264*b*d^3*n*r^5+3474*b*d^3*n*r^4+1062882*a*e^3*(x^r)^3+1062882*a*d^3+72*ln(c)*b*d^3*r^6-2376*ln(c)*b*d^3*r^5+31266*ln(c)*b*d^3*r^4-209952*ln(c)*b*d^3*r^3+761076*ln(c)*b*d^3*r^2-1417176*ln(c)*b*d^3*r+72*a*d^3*r^6+118098*b*d^3*n-216*a*e^3*r^5*(x^r)^3+6480*a*e^3*r^4*(x^r)^3+1062882*ln(c)*b*e^3*(x^r)^3+118098*b*e^3*n*(x^r)^3-74358*a*e^3*r^3*(x^r)^3+406782*a*e^3*r^2*(x^r)^3-1062882*a*e^3*r*(x^r)^3+3188646*a*d*e^2*(x^r)^2+3188646*a*d^2*e*x^r+1062882*b*d^3*ln(c)-23328*b*d^3*n*r^3+84564*b*d^3*n*r^2-157464*b*d^3*n*r-209952*a*d^3*r^3+761076*a*d^3*r^2-1417176*a*d^3*r+23328*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-486*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+747954*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+1771470*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2+148716*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^3*(x^r)^2-108*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-1771470*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-486*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-1594323*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+23328*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^2*csgn(I*c)*x^r-3542940*ln(c)*b*d*e^2*r*(x^r)^2-424278*ln(c)*b*d^2*e*r^3*x^r+1850202*ln(c)*b*d^2*e*r^2*x^r-3897234*ln(c)*b*d^2*e*r*x^r-297432*ln(c)*b*d*e^2*r^3*(x^r)^2+1495908*ln(c)*b*d*e^2*r^2*(x^r)^2-393660*b*d^2*e*n*r*x^r+96228*b*d*e^2*n*r^2*(x^r)^2+161838*b*d^2*e*n*r^2*x^r+747954*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+37179*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-148716*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-148716*I*Pi*b*d*e^2*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-36*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^3+212139*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^3*x^r-747954*I*Pi*b*d*e^2*r^2*csgn(I*c*x^n)^3*(x^r)^2-531441*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-531441*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-925101*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^3*x^r-37179*I*Pi*b*e^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-37179*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+3240*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-380538*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+36*I*Pi*b*d^3*r^6*csgn(I*c*x^n)^2*csgn(I*c)-1948617*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-1948617*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+108*I*Pi*b*e^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+925101*I*Pi*b*d^2*e*r^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r+531441*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+531441*I*Pi*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+1188*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^3-15633*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^3-203391*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^3*(x^r)^3+37179*I*Pi*b*e^3*r^3*csgn(I*c*x^n)^3*(x^r)^3-1594323*I*Pi*b*d^2*e*csgn(I*c*x^n)^3*x^r+108*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^3*(x^r)^3+354294*b*d^2*e*n*x^r-297432*a*d*e^2*r^3*(x^r)^2+1495908*a*d*e^2*r^2*(x^r)^2-3542940*a*d*e^2*r*(x^r)^2-424278*a*d^2*e*r^3*x^r+1850202*a*d^2*e*r^2*x^r-3240*I*Pi*b*e^3*r^4*csgn(I*c*x^n)^3*(x^r)^3-1188*I*Pi*b*d^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)+15633*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2-380538*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^3+708588*I*Pi*b*d^3*r*csgn(I*c*x^n)^3-531441*I*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3-203391*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-212139*I*Pi*b*d^2*e*r^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+972*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^3*x^r-23328*I*Pi*b*d^2*e*r^4*csgn(I*c*x^n)^3*x^r+1948617*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r+1594323*I*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+708588*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-104976*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2-708588*I*Pi*b*d^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2-708588*I*Pi*b*d^3*r*csgn(I*c*x^n)^2*csgn(I*c)-531441*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-531441*I*Pi*b*d^3*csgn(I*c*x^n)^3-1944*b*e^3*n*r^3*(x^r)^3-972*a*d*e^2*r^5*(x^r)^2+27702*a*d*e^2*r^4*(x^r)^2-1944*a*d^2*e*r^5*x^r+46656*a*d^2*e*r^4*x^r+18954*b*e^3*n*r^2*(x^r)^3-78732*b*e^3*n*r*(x^r)^3+354294*b*d*e^2*n*(x^r)^2+72*b*e^3*n*r^4*(x^r)^3-3897234*a*d^2*e*r*x^r+3188646*ln(c)*b*d^2*e*x^r+3188646*ln(c)*b*d*e^2*(x^r)^2-216*ln(c)*b*e^3*r^5*(x^r)^3+6480*ln(c)*b*e^3*r^4*(x^r)^3-74358*ln(c)*b*e^3*r^3*(x^r)^3+406782*ln(c)*b*e^3*r^2*(x^r)^3-1062882*ln(c)*b*e^3*r*(x^r)^3-925101*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+1771470*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+1948617*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+1188*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-15633*I*Pi*b*d^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-13851*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^3*(x^r)^2-531441*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-314928*b*d*e^2*n*r*(x^r)^2-972*ln(c)*b*d*e^2*r^5*(x^r)^2+27702*ln(c)*b*d*e^2*r^4*(x^r)^2-1944*ln(c)*b*d^2*e*r^5*x^r+46656*ln(c)*b*d^2*e*r^4*x^r+486*b*d*e^2*n*r^4*(x^r)^2-11664*b*d*e^2*n*r^3*(x^r)^2+1944*b*d^2*e*n*r^4*x^r-29160*b*d^2*e*n*r^3*x^r+531441*I*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+531441*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3-212139*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+531441*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+925101*I*Pi*b*d^2*e*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-3240*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+104976*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^3+486*I*Pi*b*d*e^2*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+972*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-13851*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-747954*I*Pi*b*d*e^2*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-36*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-108*I*Pi*b*e^3*r^5*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+486*I*Pi*b*d*e^2*r^5*csgn(I*c*x^n)^3*(x^r)^2+3240*I*Pi*b*e^3*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+104976*I*Pi*b*d^3*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+203391*I*Pi*b*e^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+36*I*Pi*b*d^3*r^6*csgn(I*x^n)*csgn(I*c*x^n)^2-23328*I*Pi*b*d^2*e*r^4*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+212139*I*Pi*b*d^2*e*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+148716*I*Pi*b*d*e^2*r^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-104976*I*Pi*b*d^3*r^3*csgn(I*c*x^n)^2*csgn(I*c)+380538*I*Pi*b*d^3*r^2*csgn(I*c*x^n)^2*csgn(I*c)-1188*I*Pi*b*d^3*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2-1594323*I*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2-972*I*Pi*b*d^2*e*r^5*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-972*I*Pi*b*d^2*e*r^5*csgn(I*c*x^n)^2*csgn(I*c)*x^r+13851*I*Pi*b*d*e^2*r^4*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+13851*I*Pi*b*d*e^2*r^4*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-1771470*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+15633*I*Pi*b*d^3*r^4*csgn(I*c*x^n)^2*csgn(I*c)+531441*I*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+380538*I*Pi*b*d^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1594323*I*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+1594323*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+1594323*I*Pi*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+203391*I*Pi*b*e^3*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-1594323*I*Pi*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r)/(r-3)^2/x^9/(-9+2*r)^2/(-9+r)^2","C"
406,0,0,25,0.785000," ","int(x^3*(b*ln(c*x^n)+a)/(d+e*x^r),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{3}}{e \,x^{r}+d}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)/(d+e*x^r),x)","F"
407,0,0,23,0.694000," ","int(x*(b*ln(c*x^n)+a)/(e*x^r+d),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x}{e \,x^{r}+d}\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)/(e*x^r+d),x)","F"
408,1,451,54,0.246000," ","int((b*ln(c*x^n)+a)/x/(e*x^r+d),x)","\frac{b n \ln \left(x \right)^{2}}{2 d}-\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(x^{r}\right)}{2 d r}+\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^{r}+d \right)}{2 d r}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{r}\right)}{2 d r}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{r}+d \right)}{2 d r}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{r}\right)}{2 d r}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{r}+d \right)}{2 d r}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{r}\right)}{2 d r}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{r}+d \right)}{2 d r}-\frac{b n \ln \left(x \right) \ln \left(x^{r}\right)}{d r}-\frac{b n \ln \left(x \right) \ln \left(\frac{e \,x^{r}}{d}+1\right)}{d r}+\frac{b n \ln \left(x \right) \ln \left(e \,x^{r}+d \right)}{d r}+\frac{b \ln \left(c \right) \ln \left(x^{r}\right)}{d r}-\frac{b \ln \left(c \right) \ln \left(e \,x^{r}+d \right)}{d r}+\frac{b \ln \left(x^{n}\right) \ln \left(x^{r}\right)}{d r}-\frac{b \ln \left(x^{n}\right) \ln \left(e \,x^{r}+d \right)}{d r}+\frac{a \ln \left(x^{r}\right)}{d r}-\frac{a \ln \left(e \,x^{r}+d \right)}{d r}-\frac{b n \polylog \left(2, -\frac{e \,x^{r}}{d}\right)}{d \,r^{2}}"," ",0,"-b/r/d*ln(x^r)*n*ln(x)+b/r/d*ln(x^r)*ln(x^n)+b/r/d*ln(e*x^r+d)*n*ln(x)-b/r/d*ln(e*x^r+d)*ln(x^n)+1/2*b/d*n*ln(x)^2-b/r*n/d*ln(x)*ln(1+e*x^r/d)-b/r^2*n/d*polylog(2,-e*x^r/d)+1/2*I/r*b*Pi*csgn(I*c*x^n)^3/d*ln(e*x^r+d)-1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d*ln(x^r)-1/2*I/r*b*Pi*csgn(I*c*x^n)^3/d*ln(x^r)+1/2*I/r*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d*ln(x^r)+1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d*ln(e*x^r+d)+1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d*ln(x^r)-1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d*ln(e*x^r+d)-1/2*I/r*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d*ln(e*x^r+d)+1/r*b*ln(c)/d*ln(x^r)-1/r*b*ln(c)/d*ln(e*x^r+d)+1/r*a/d*ln(x^r)-1/r*a/d*ln(e*x^r+d)","C"
409,0,0,25,0.763000," ","int((b*ln(c*x^n)+a)/x^3/(e*x^r+d),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{r}+d \right) x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^3/(e*x^r+d),x)","F"
410,0,0,25,0.717000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x^r+d),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{2}}{e \,x^{r}+d}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)/(e*x^r+d),x)","F"
411,0,0,22,0.639000," ","int((b*ln(c*x^n)+a)/(e*x^r+d),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{e \,x^{r}+d}\, dx"," ",0,"int((b*ln(c*x^n)+a)/(e*x^r+d),x)","F"
412,0,0,25,0.725000," ","int((b*ln(c*x^n)+a)/x^2/(e*x^r+d),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{r}+d \right) x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^2/(e*x^r+d),x)","F"
413,0,0,25,0.668000," ","int(x^3*(b*ln(c*x^n)+a)/(e*x^r+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{3}}{\left(e \,x^{r}+d \right)^{2}}\, dx"," ",0,"int(x^3*(b*ln(c*x^n)+a)/(e*x^r+d)^2,x)","F"
414,0,0,23,0.743000," ","int(x*(b*ln(c*x^n)+a)/(e*x^r+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x}{\left(e \,x^{r}+d \right)^{2}}\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)/(e*x^r+d)^2,x)","F"
415,1,715,102,0.298000," ","int((b*ln(c*x^n)+a)/x/(e*x^r+d)^2,x)","\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e \,x^{r}+d \right) d r}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e \,x^{r}+d \right) d r}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{r}\right)}{2 d^{2} r}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{r}+d \right)}{2 d^{2} r}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{r}\right)}{2 d^{2} r}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{r}+d \right)}{2 d^{2} r}-\frac{b n \dilog \left(\frac{e \,x^{r}+d}{d}\right)}{d^{2} r^{2}}+\frac{b n \ln \left(x \right)^{2}}{2 d^{2}}-\frac{b n \ln \left(x \right)}{\left(e \,x^{r}+d \right) d r}-\frac{b n \ln \left(x \right) \ln \left(\frac{e \,x^{r}+d}{d}\right)}{d^{2} r}+\frac{a \ln \left(x^{r}\right)}{d^{2} r}-\frac{a \ln \left(e \,x^{r}+d \right)}{d^{2} r}+\frac{a}{\left(e \,x^{r}+d \right) d r}-\frac{b n \ln \left(x \right) \ln \left(x^{r}\right)}{d^{2} r}+\frac{b n \ln \left(x \right) \ln \left(e \,x^{r}+d \right)}{d^{2} r}-\frac{b e n \,x^{r} \ln \left(x \right)}{\left(e \,x^{r}+d \right) d^{2} r}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e \,x^{r}+d \right) d r}+\frac{b \ln \left(c \right) \ln \left(x^{r}\right)}{d^{2} r}-\frac{b \ln \left(c \right) \ln \left(e \,x^{r}+d \right)}{d^{2} r}+\frac{b \ln \left(c \right)}{\left(e \,x^{r}+d \right) d r}+\frac{b \ln \left(x^{n}\right) \ln \left(x^{r}\right)}{d^{2} r}-\frac{b \ln \left(x^{n}\right) \ln \left(e \,x^{r}+d \right)}{d^{2} r}+\frac{b \ln \left(x^{n}\right)}{\left(e \,x^{r}+d \right) d r}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{r}\right)}{2 d^{2} r}-\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 \left(e \,x^{r}+d \right) d r}+\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^{r}+d \right)}{2 d^{2} r}+\frac{b n \ln \left(e \,x^{r}+d \right)}{d^{2} r^{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(x^{r}\right)}{2 d^{2} r}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{r}+d \right)}{2 d^{2} r}"," ",0,"-1/2*I/r*b*Pi*csgn(I*c*x^n)^3/d/(e*x^r+d)-1/2*I/r*b*Pi*csgn(I*c*x^n)^3/d^2*ln(x^r)+1/2*I/r*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2*ln(x^r)+1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2*ln(x^r)+1/2*b/d^2*n*ln(x)^2+1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/(e*x^r+d)-b/r/d/(e*x^r+d)*n*ln(x)-b/r*n/d^2*ln(x)*ln((e*x^r+d)/d)-1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2*ln(e*x^r+d)+1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2*ln(e*x^r+d)+1/r*a/d^2*ln(x^r)-1/r*a/d^2*ln(e*x^r+d)+1/r*a/d/(e*x^r+d)-1/2*I/r*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2*ln(e*x^r+d)-1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/(e*x^r+d)-1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2*ln(x^r)-b/r/d^2*ln(x^r)*n*ln(x)+b/r/d^2*ln(e*x^r+d)*n*ln(x)+1/2*I/r*b*Pi*csgn(I*c*x^n)^3/d^2*ln(e*x^r+d)-b/r*n*e/d^2*ln(x)*x^r/(e*x^r+d)+1/2*I/r*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/(e*x^r+d)-b/r^2*n/d^2*dilog((e*x^r+d)/d)+1/r*b*ln(c)/d^2*ln(x^r)-1/r*b*ln(c)/d^2*ln(e*x^r+d)+1/r*b*ln(c)/d/(e*x^r+d)+b/r/d^2*ln(x^r)*ln(x^n)-b/r/d^2*ln(e*x^r+d)*ln(x^n)+b/r/d/(e*x^r+d)*ln(x^n)+b*n*ln(e*x^r+d)/d^2/r^2","C"
416,0,0,25,0.666000," ","int((b*ln(c*x^n)+a)/x^3/(e*x^r+d)^2,x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{r}+d \right)^{2} x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^3/(e*x^r+d)^2,x)","F"
417,0,0,25,0.815000," ","int(x^2*(b*ln(c*x^n)+a)/(e*x^r+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{2}}{\left(e \,x^{r}+d \right)^{2}}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)/(e*x^r+d)^2,x)","F"
418,0,0,22,0.688000," ","int((b*ln(c*x^n)+a)/(e*x^r+d)^2,x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{r}+d \right)^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/(e*x^r+d)^2,x)","F"
419,0,0,25,0.792000," ","int((b*ln(c*x^n)+a)/x^2/(e*x^r+d)^2,x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{r}+d \right)^{2} x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x^2/(e*x^r+d)^2,x)","F"
420,1,33,37,0.039000," ","int((b*ln(c*x^n)+a)/x/(c-1/(x^n)),x)","\frac{a \ln \left(c \,x^{n}-1\right)}{c n}-\frac{b \dilog \left(c \,x^{n}\right)}{c n}"," ",0,"1/n*a/c*ln(c*x^n-1)-1/n*b/c*dilog(c*x^n)","A"
421,1,693,142,0.096000," ","int((e*x^r+d)^3*(b*ln(c*x^n)+a)/x,x)","\frac{a \,e^{3} x^{3 r}}{3 r}+\frac{\left(6 d^{3} r \ln \left(x \right)+18 d^{2} e \,x^{r}+9 d \,e^{2} x^{2 r}+2 e^{3} x^{3 r}\right) b \ln \left(x^{n}\right)}{6 r}+\frac{b \,e^{3} x^{3 r} \ln \left(c \right)}{3 r}+b \,d^{3} \ln \left(c \right) \ln \left(x \right)+a \,d^{3} \ln \left(x \right)+\frac{3 b d \,e^{2} x^{2 r} \ln \left(c \right)}{2 r}-\frac{i \pi  b \,d^{3} \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{3 i \pi  b \,d^{2} e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 r}-\frac{3 i \pi  b d \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 r}+\frac{i \pi  b \,e^{3} x^{3 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 r}+\frac{i \pi  b \,e^{3} x^{3 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{6 r}+\frac{3 b \,d^{2} e \,x^{r} \ln \left(c \right)}{r}-\frac{3 i \pi  b \,d^{2} e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 r}-\frac{3 i \pi  b d \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 r}+\frac{3 a \,d^{2} e \,x^{r}}{r}+\frac{3 a d \,e^{2} x^{2 r}}{2 r}-\frac{i \pi  b \,e^{3} x^{3 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{6 r}+\frac{3 i \pi  b \,d^{2} e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 r}-\frac{i \pi  b \,d^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-\frac{3 b \,d^{2} e n \,x^{r}}{r^{2}}-\frac{3 b d \,e^{2} n \,x^{2 r}}{4 r^{2}}-\frac{b \,d^{3} n \ln \left(x \right)^{2}}{2}-\frac{b \,e^{3} n \,x^{3 r}}{9 r^{2}}+\frac{3 i \pi  b \,d^{2} e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 r}+\frac{3 i \pi  b d \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 r}+\frac{3 i \pi  b d \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 r}-\frac{i \pi  b \,e^{3} x^{3 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{6 r}+\frac{i \pi  b \,d^{3} \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^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{2}"," ",0,"1/3/r*a*e^3*(x^r)^3+1/6*b*(2*e^3*(x^r)^3+6*d^3*r*ln(x)+9*d*e^2*(x^r)^2+18*d^2*e*x^r)/r*ln(x^n)-1/6*I/r*Pi*b*e^3*csgn(I*c*x^n)^3*(x^r)^3+1/2*I*Pi*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(x)+1/2*I*Pi*b*d^3*csgn(I*c)*csgn(I*c*x^n)^2*ln(x)+b*d^3*ln(c)*ln(x)+a*d^3*ln(x)+3/2/r*ln(c)*b*d*e^2*(x^r)^2-3/4/r^2*b*d*e^2*n*(x^r)^2+3*b*d^2*e/r*x^r*ln(c)-1/2*I*Pi*b*d^3*csgn(I*c*x^n)^3*ln(x)+1/3/r*ln(c)*b*e^3*(x^r)^3-1/9/r^2*b*e^3*n*(x^r)^3+3/2/r*a*d*e^2*(x^r)^2+3*a*d^2*e/r*x^r-3/4*I/r*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-3/2*I*Pi*b*d^2*e/r*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+3/4*I/r*Pi*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+3/4*I/r*Pi*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+3/2*I*Pi*b*d^2*e/r*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2+3/2*I*Pi*b*d^2*e/r*x^r*csgn(I*c)*csgn(I*c*x^n)^2-1/6*I/r*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-3*b*d^2*e*n/r^2*x^r-1/2*I*Pi*b*d^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(x)+1/6*I/r*Pi*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+1/6*I/r*Pi*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-3/4*I/r*Pi*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2-3/2*I*Pi*b*d^2*e/r*x^r*csgn(I*c*x^n)^3-1/2*b*d^3*n*ln(x)^2","C"
422,1,487,98,0.075000," ","int((e*x^r+d)^2*(b*ln(c*x^n)+a)/x,x)","-\frac{i \pi  b \,d^{2} \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^{2} \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^{2} \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^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-\frac{b \,d^{2} n \ln \left(x \right)^{2}}{2}-\frac{i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{r}+\frac{i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{r}+\frac{i \pi  b d e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{r}-\frac{i \pi  b d e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{r}-\frac{i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 r}+\frac{i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 r}+\frac{i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 r}-\frac{i \pi  b \,e^{2} x^{2 r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 r}+b \,d^{2} \ln \left(c \right) \ln \left(x \right)+a \,d^{2} \ln \left(x \right)+\frac{2 b d e \,x^{r} \ln \left(c \right)}{r}+\frac{b \,e^{2} x^{2 r} \ln \left(c \right)}{2 r}+\frac{2 a d e \,x^{r}}{r}+\frac{a \,e^{2} x^{2 r}}{2 r}-\frac{2 b d e n \,x^{r}}{r^{2}}-\frac{b \,e^{2} n \,x^{2 r}}{4 r^{2}}+\frac{\left(2 d^{2} r \ln \left(x \right)+4 d e \,x^{r}+e^{2} x^{2 r}\right) b \ln \left(x^{n}\right)}{2 r}"," ",0,"1/2*b*(2*d^2*r*ln(x)+(x^r)^2*e^2+4*d*e*x^r)/r*ln(x^n)-1/2*I*Pi*ln(x)*b*d^2*csgn(I*c*x^n)^3-1/4*I/r*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-I/r*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+1/2*I*Pi*ln(x)*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+I/r*Pi*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-I/r*Pi*b*d*e*csgn(I*c*x^n)^3*x^r+1/4*I/r*Pi*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-1/4*I/r*Pi*b*e^2*csgn(I*c*x^n)^3*(x^r)^2+1/2*I*Pi*ln(x)*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+1/4*I/r*Pi*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-1/2*I*Pi*ln(x)*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/r*Pi*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r-1/2*b*d^2*n*ln(x)^2+1/2/r*ln(c)*b*e^2*(x^r)^2+b*d^2*ln(c)*ln(x)+1/2/r*a*e^2*(x^r)^2-1/4/r^2*b*e^2*n*(x^r)^2+2/r*b*d*e*x^r*ln(c)+a*d^2*ln(x)+2/r*a*d*e*x^r-2*b*d*e*n/r^2*x^r","C"
423,1,278,51,0.069000," ","int((e*x^r+d)*(b*ln(c*x^n)+a)/x,x)","-\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 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{i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-\frac{b d n \ln \left(x \right)^{2}}{2}-\frac{i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 r}+\frac{i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 r}+\frac{i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 r}-\frac{i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 r}+b d \ln \left(c \right) \ln \left(x \right)+a d \ln \left(x \right)+\frac{b e \,x^{r} \ln \left(c \right)}{r}+\frac{a e \,x^{r}}{r}-\frac{b e n \,x^{r}}{r^{2}}+\frac{\left(d r \ln \left(x \right)+e \,x^{r}\right) b \ln \left(x^{n}\right)}{r}"," ",0,"b*(d*r*ln(x)+e*x^r)/r*ln(x^n)+1/2*I*Pi*ln(x)*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*csgn(I*c)*csgn(I*c*x^n)*csgn(I*x^n)*d*b*ln(x)*Pi-1/2*I*csgn(I*c*x^n)^3*d*b*ln(x)*Pi+1/2*I*Pi*ln(x)*b*d*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I/r*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-1/2*I/r*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-1/2*I/r*Pi*b*e*csgn(I*c*x^n)^3*x^r+1/2*I/r*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r-1/2*b*d*n*ln(x)^2+b*d*ln(c)*ln(x)+1/r*b*e*x^r*ln(c)+a*d*ln(x)+1/r*x^r*a*e-b*e*n/r^2*x^r","C"
424,1,451,54,0.060000," ","int((b*ln(c*x^n)+a)/x/(e*x^r+d),x)","\frac{b n \ln \left(x \right)^{2}}{2 d}-\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(x^{r}\right)}{2 d r}+\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^{r}+d \right)}{2 d r}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{r}\right)}{2 d r}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{r}+d \right)}{2 d r}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{r}\right)}{2 d r}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{r}+d \right)}{2 d r}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{r}\right)}{2 d r}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{r}+d \right)}{2 d r}-\frac{b n \ln \left(x \right) \ln \left(x^{r}\right)}{d r}-\frac{b n \ln \left(x \right) \ln \left(\frac{e \,x^{r}}{d}+1\right)}{d r}+\frac{b n \ln \left(x \right) \ln \left(e \,x^{r}+d \right)}{d r}+\frac{b \ln \left(c \right) \ln \left(x^{r}\right)}{d r}-\frac{b \ln \left(c \right) \ln \left(e \,x^{r}+d \right)}{d r}+\frac{b \ln \left(x^{n}\right) \ln \left(x^{r}\right)}{d r}-\frac{b \ln \left(x^{n}\right) \ln \left(e \,x^{r}+d \right)}{d r}+\frac{a \ln \left(x^{r}\right)}{d r}-\frac{a \ln \left(e \,x^{r}+d \right)}{d r}-\frac{b n \polylog \left(2, -\frac{e \,x^{r}}{d}\right)}{d \,r^{2}}"," ",0,"-b/d*n/r*ln(x)*ln(x^r)+b/d/r*ln(x^n)*ln(x^r)+b/d*n/r*ln(x)*ln(e*x^r+d)-b/d/r*ln(x^n)*ln(e*x^r+d)+1/2*b/d*n*ln(x)^2-b/d*n/r*ln(x)*ln(1/d*e*x^r+1)-b/r^2*n/d*polylog(2,-1/d*e*x^r)+1/2*I*Pi*b/d/r*csgn(I*c*x^n)^3*ln(e*x^r+d)-1/2*I*Pi*b/d/r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(x^r)-1/2*I*Pi*b/d/r*csgn(I*c*x^n)^3*ln(x^r)+1/2*I*Pi*b/d/r*csgn(I*c)*csgn(I*c*x^n)^2*ln(x^r)+1/2*I*Pi*b/d/r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(e*x^r+d)+1/2*I*Pi*b/d/r*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(x^r)-1/2*I*Pi*b/d/r*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(e*x^r+d)-1/2*I*Pi*b/d/r*csgn(I*c)*csgn(I*c*x^n)^2*ln(e*x^r+d)+b/d/r*ln(c)*ln(x^r)-b/d/r*ln(c)*ln(e*x^r+d)+a/d/r*ln(x^r)-a/d/r*ln(e*x^r+d)","C"
425,1,715,102,0.065000," ","int((b*ln(c*x^n)+a)/x/(e*x^r+d)^2,x)","\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e \,x^{r}+d \right) d r}-\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(x^{r}\right)}{2 d^{2} r}+\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^{r}+d \right)}{2 d^{2} r}-\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 \left(e \,x^{r}+d \right) d r}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e \,x^{r}+d \right) d r}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{r}\right)}{2 d^{2} r}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{r}+d \right)}{2 d^{2} r}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{r}\right)}{2 d^{2} r}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{r}+d \right)}{2 d^{2} r}-\frac{b n \dilog \left(\frac{e \,x^{r}+d}{d}\right)}{d^{2} r^{2}}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{r}+d \right)}{2 d^{2} r}+\frac{b n \ln \left(x \right)^{2}}{2 d^{2}}-\frac{b n \ln \left(x \right)}{\left(e \,x^{r}+d \right) d r}-\frac{b n \ln \left(x \right) \ln \left(\frac{e \,x^{r}+d}{d}\right)}{d^{2} r}+\frac{a \ln \left(x^{r}\right)}{d^{2} r}-\frac{a \ln \left(e \,x^{r}+d \right)}{d^{2} r}+\frac{a}{\left(e \,x^{r}+d \right) d r}-\frac{b n \ln \left(x \right) \ln \left(x^{r}\right)}{d^{2} r}+\frac{b n \ln \left(x \right) \ln \left(e \,x^{r}+d \right)}{d^{2} r}-\frac{b e n \,x^{r} \ln \left(x \right)}{\left(e \,x^{r}+d \right) d^{2} r}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e \,x^{r}+d \right) d r}+\frac{b \ln \left(c \right) \ln \left(x^{r}\right)}{d^{2} r}-\frac{b \ln \left(c \right) \ln \left(e \,x^{r}+d \right)}{d^{2} r}+\frac{b \ln \left(c \right)}{\left(e \,x^{r}+d \right) d r}+\frac{b \ln \left(x^{n}\right) \ln \left(x^{r}\right)}{d^{2} r}-\frac{b \ln \left(x^{n}\right) \ln \left(e \,x^{r}+d \right)}{d^{2} r}+\frac{b \ln \left(x^{n}\right)}{\left(e \,x^{r}+d \right) d r}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{r}\right)}{2 d^{2} r}+\frac{b n \ln \left(e \,x^{r}+d \right)}{d^{2} r^{2}}"," ",0,"-1/2*I*Pi/(e*x^r+d)*b/d/r*csgn(I*c*x^n)^3-1/2*I*Pi*b/d^2/r*csgn(I*c*x^n)^3*ln(x^r)+1/2*I*Pi*b/d^2/r*csgn(I*c)*csgn(I*c*x^n)^2*ln(x^r)+1/2*I*Pi*b/d^2/r*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(x^r)+1/2*b/d^2*n*ln(x)^2+1/2*I*Pi/(e*x^r+d)*b/d/r*csgn(I*x^n)*csgn(I*c*x^n)^2-1/(e*x^r+d)*b/d*n/r*ln(x)-b/d^2*n/r*ln(x)*ln((e*x^r+d)/d)-1/2*I*Pi*b/d^2/r*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(e*x^r+d)+1/2*I*Pi*b/d^2/r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(e*x^r+d)+a/d^2/r*ln(x^r)-a/d^2/r*ln(e*x^r+d)+1/(e*x^r+d)*a/d/r-1/2*I*Pi*b/d^2/r*csgn(I*c)*csgn(I*c*x^n)^2*ln(e*x^r+d)-1/2*I*Pi/(e*x^r+d)*b/d/r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-1/2*I*Pi*b/d^2/r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(x^r)-b/d^2*n/r*ln(x)*ln(x^r)+b/d^2*n/r*ln(x)*ln(e*x^r+d)+1/2*I*Pi*b/d^2/r*csgn(I*c*x^n)^3*ln(e*x^r+d)-1/(e*x^r+d)*b/d^2*e*n/r*x^r*ln(x)+1/2*I*Pi/(e*x^r+d)*b/d/r*csgn(I*c)*csgn(I*c*x^n)^2-b/r^2*n/d^2*dilog((e*x^r+d)/d)+b/d^2/r*ln(c)*ln(x^r)-b/d^2/r*ln(c)*ln(e*x^r+d)+1/(e*x^r+d)*b/d/r*ln(c)+b/d^2/r*ln(x^n)*ln(x^r)-b/d^2/r*ln(x^n)*ln(e*x^r+d)+1/(e*x^r+d)*b/d/r*ln(x^n)+b/d^2*n/r^2*ln(e*x^r+d)","C"
426,1,1012,161,0.305000," ","int((b*ln(c*x^n)+a)/x/(e*x^r+d)^3,x)","\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e \,x^{r}+d \right) d^{2} r}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{2 \left(e \,x^{r}+d \right) d^{2} r}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{r}\right)}{2 d^{3} r}-\frac{b n \ln \left(x \right) \ln \left(\frac{e \,x^{r}+d}{d}\right)}{d^{3} r}-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{r}+d \right)}{2 d^{3} r}-\frac{b e n \,x^{r} \ln \left(x \right)}{\left(e \,x^{r}+d \right) d^{3} r}-\frac{b e n \,x^{r} \ln \left(x \right)}{\left(e \,x^{r}+d \right)^{2} d^{2} r}-\frac{b n \ln \left(x \right)}{\left(e \,x^{r}+d \right) d^{2} r}-\frac{b n \ln \left(x \right)}{2 \left(e \,x^{r}+d \right)^{2} d r}-\frac{b n \ln \left(x \right) \ln \left(x^{r}\right)}{d^{3} r}+\frac{b n \ln \left(x \right) \ln \left(e \,x^{r}+d \right)}{d^{3} r}+\frac{a}{\left(e \,x^{r}+d \right) d^{2} r}+\frac{a}{2 \left(e \,x^{r}+d \right)^{2} d r}+\frac{a \ln \left(x^{r}\right)}{d^{3} r}-\frac{a \ln \left(e \,x^{r}+d \right)}{d^{3} r}+\frac{b n \ln \left(x \right)^{2}}{2 d^{3}}-\frac{b \,e^{2} n \,x^{2 r} \ln \left(x \right)}{2 \left(e \,x^{r}+d \right)^{2} d^{3} r}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{r}+d \right)^{2} d r}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 \left(e \,x^{r}+d \right)^{2} d r}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x^{r}\right)}{2 d^{3} r}+\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(e \,x^{r}+d \right)}{2 d^{3} r}+\frac{b \ln \left(x^{n}\right) \ln \left(x^{r}\right)}{d^{3} r}+\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x^{r}\right)}{2 d^{3} r}-\frac{i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(e \,x^{r}+d \right)}{2 d^{3} r}-\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 \left(e \,x^{r}+d \right)^{2} d r}-\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 \left(e \,x^{r}+d \right) d^{2} r}-\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(x^{r}\right)}{2 d^{3} r}+\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^{r}+d \right)}{2 d^{3} r}+\frac{b \ln \left(x^{n}\right)}{2 \left(e \,x^{r}+d \right)^{2} d r}-\frac{b \ln \left(x^{n}\right) \ln \left(e \,x^{r}+d \right)}{d^{3} r}+\frac{b \ln \left(x^{n}\right)}{\left(e \,x^{r}+d \right) d^{2} r}-\frac{b \ln \left(c \right) \ln \left(e \,x^{r}+d \right)}{d^{3} r}+\frac{b \ln \left(c \right)}{\left(e \,x^{r}+d \right) d^{2} r}+\frac{b \ln \left(c \right)}{2 \left(e \,x^{r}+d \right)^{2} d r}+\frac{b \ln \left(c \right) \ln \left(x^{r}\right)}{d^{3} r}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e \,x^{r}+d \right)^{2} d r}-\frac{i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 \left(e \,x^{r}+d \right) d^{2} r}-\frac{b n \dilog \left(\frac{e \,x^{r}+d}{d}\right)}{d^{3} r^{2}}-\frac{b n}{2 \left(e \,x^{r}+d \right) d^{2} r^{2}}+\frac{3 b n \ln \left(e \,x^{r}+d \right)}{2 d^{3} r^{2}}"," ",0,"1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*ln(e*x^r+d)-1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^3*ln(x^r)-b/r*n/d^3*ln(x)*ln((e*x^r+d)/d)+1/2*I/r*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^2/(e*x^r+d)-1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*ln(e*x^r+d)-b/r*n*e/d^3*ln(x)*x^r/(e*x^r+d)-b/r*n*e/d^2*ln(x)*x^r/(e*x^r+d)^2-b/r/d^2/(e*x^r+d)*n*ln(x)-1/2*b/r/d/(e*x^r+d)^2*n*ln(x)-b/r/d^3*ln(x^r)*n*ln(x)+b/r/d^3*ln(e*x^r+d)*n*ln(x)+1/r*a/d^2/(e*x^r+d)+1/2/r*a/d/(e*x^r+d)^2+1/4*I/r*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d/(e*x^r+d)^2-1/2*b/r*n*e^2/d^3*ln(x)*(x^r)^2/(e*x^r+d)^2+1/r*a/d^3*ln(x^r)-1/r*a/d^3*ln(e*x^r+d)+1/4*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d/(e*x^r+d)^2+1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^3*ln(x^r)-1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d^2/(e*x^r+d)-1/2*I/r*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*ln(e*x^r+d)+1/2*I/r*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)/d^3*ln(x^r)+1/2*b/d^3*n*ln(x)^2+1/2*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2/d^2/(e*x^r+d)-1/4*I/r*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)/d/(e*x^r+d)^2+b/r/d^3*ln(x^r)*ln(x^n)-b/r^2*n/d^3*dilog((e*x^r+d)/d)+1/2*b/r/d/(e*x^r+d)^2*ln(x^n)-b/r/d^3*ln(e*x^r+d)*ln(x^n)+b/r/d^2/(e*x^r+d)*ln(x^n)-1/r*b*ln(c)/d^3*ln(e*x^r+d)+1/r*b*ln(c)/d^2/(e*x^r+d)+1/2/r*b*ln(c)/d/(e*x^r+d)^2+1/r*b*ln(c)/d^3*ln(x^r)-1/2*I/r*b*Pi*csgn(I*c*x^n)^3/d^2/(e*x^r+d)-1/2*I/r*b*Pi*csgn(I*c*x^n)^3/d^3*ln(x^r)-1/4*I/r*b*Pi*csgn(I*c*x^n)^3/d/(e*x^r+d)^2+1/2*I/r*b*Pi*csgn(I*c*x^n)^3/d^3*ln(e*x^r+d)-1/2*b*n/d^2/r^2/(e*x^r+d)+3/2*b*n*ln(e*x^r+d)/d^3/r^2","C"
427,1,3984,231,0.617000," ","int((e*x^r+d)^3*(b*ln(c*x^n)+a)^2/x,x)","\text{output too large to display}"," ",0,"ln(x)*a^2*d^3-3/2*I/r*ln(c)*Pi*b^2*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-3/2*I/r*Pi*a*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+3/4*I/r^2*Pi*b^2*d*e^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-3*I/r*ln(c)*Pi*b^2*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-3*I/r*Pi*a*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+3*I/r^2*Pi*b^2*d^2*e*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+1/3/r*a^2*e^3*(x^r)^3+1/3*b^2*d^3*n^2*ln(x)^3+ln(c)^2*ln(x)*b^2*d^3+2*ln(c)*ln(x)*a*b*d^3-ln(x)^2*ln(c)*b^2*d^3*n-ln(x)^2*a*b*d^3*n+1/3/r*ln(c)^2*b^2*e^3*(x^r)^3+2/27/r^3*b^2*e^3*n^2*(x^r)^3+3/2/r*a^2*d*e^2*(x^r)^2+3/r*a^2*d^2*e*x^r-1/4*csgn(I*c*x^n)^4*csgn(I*x^n)^2*d^3*b^2*ln(x)*Pi^2+1/2*csgn(I*c*x^n)^5*csgn(I*x^n)*d^3*b^2*ln(x)*Pi^2+1/2*csgn(I*c)*csgn(I*c*x^n)^5*d^3*b^2*ln(x)*Pi^2-1/4*csgn(I*c)^2*csgn(I*c*x^n)^4*d^3*b^2*ln(x)*Pi^2-I*ln(c)*Pi*ln(x)*b^2*d^3*csgn(I*c*x^n)^3-I*Pi*ln(x)*a*b*d^3*csgn(I*c*x^n)^3-1/18*b*(54*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-36*ln(x)*a*d^3*r^2-36*ln(c)*ln(x)*b*d^3*r^2+4*b*e^3*n*(x^r)^3-12*a*e^3*r*(x^r)^3+6*I*Pi*b*e^3*r*csgn(I*c*x^n)^3*(x^r)^3+18*I*Pi*ln(x)*b*d^3*csgn(I*c*x^n)^3*r^2-6*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-6*I*Pi*b*e^3*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-54*ln(c)*b*d*e^2*r*(x^r)^2-108*ln(c)*b*d^2*e*r*x^r+108*b*d^2*e*n*x^r-54*a*d*e^2*r*(x^r)^2+6*I*Pi*b*e^3*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-27*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+18*b*d^3*n*ln(x)^2*r^2+27*b*d*e^2*n*(x^r)^2-108*a*d^2*e*r*x^r-12*ln(c)*b*e^3*r*(x^r)^3+27*I*Pi*b*d*e^2*r*csgn(I*c*x^n)^3*(x^r)^2-18*I*Pi*ln(x)*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2*r^2-18*I*Pi*ln(x)*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)*r^2+54*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^3*x^r+27*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-54*I*Pi*b*d^2*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-54*I*Pi*b*d^2*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r-27*I*Pi*b*d*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+18*I*Pi*ln(x)*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*r^2)/r^2*ln(x^n)+1/6*b^2*(2*e^3*(x^r)^3+6*d^3*r*ln(x)+9*d*e^2*(x^r)^2+18*d^2*e*x^r)/r*ln(x^n)^2-1/4*csgn(I*c*x^n)^6*d^3*b^2*ln(x)*Pi^2+3/4/r*Pi^2*b^2*d*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*(x^r)^2-3/8/r*Pi^2*b^2*d*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*(x^r)^2-3/2/r*Pi^2*b^2*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*(x^r)^2+3/4/r*Pi^2*b^2*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*(x^r)^2+3/2/r*Pi^2*b^2*d^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*x^r-3/4/r*Pi^2*b^2*d^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*x^r-3/r*Pi^2*b^2*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*x^r+3/2/r*Pi^2*b^2*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*x^r-2/9/r^2*a*b*e^3*n*(x^r)^3+3/r*ln(c)^2*b^2*d^2*e*x^r+3/4/r^3*b^2*d*e^2*n^2*(x^r)^2-1/12/r*Pi^2*b^2*e^3*csgn(I*c*x^n)^6*(x^r)^3+2/3/r*ln(c)*a*b*e^3*(x^r)^3-2/9/r^2*ln(c)*b^2*e^3*n*(x^r)^3+3/2/r*ln(c)^2*b^2*d*e^2*(x^r)^2+1/3*I/r*ln(c)*Pi*b^2*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+1/3*I/r*ln(c)*Pi*b^2*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3+1/3*I/r*Pi*a*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3-1/9*I/r^2*Pi*b^2*e^3*n*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^3+1/3*I/r*Pi*a*b*e^3*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-1/9*I/r^2*Pi*b^2*e^3*n*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^3-3/2*I/r*ln(c)*Pi*b^2*d*e^2*csgn(I*c*x^n)^3*(x^r)^2-3/2*I/r*Pi*a*b*d*e^2*csgn(I*c*x^n)^3*(x^r)^2+3/4*I/r^2*Pi*b^2*d*e^2*n*csgn(I*c*x^n)^3*(x^r)^2-3*I/r*ln(c)*Pi*b^2*d^2*e*csgn(I*c*x^n)^3*x^r-3*I/r*Pi*a*b*d^2*e*csgn(I*c*x^n)^3*x^r+3*I/r^2*Pi*b^2*d^2*e*n*csgn(I*c*x^n)^3*x^r+1/2*I*ln(x)^2*Pi*b^2*d^3*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*ln(c)*Pi*ln(x)*b^2*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*ln(x)*a*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*ln(x)*a*b*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*ln(x)*a*b*d^3*csgn(I*c*x^n)^2*csgn(I*c)+1/6/r*Pi^2*b^2*e^3*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*(x^r)^3-1/12/r*Pi^2*b^2*e^3*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*(x^r)^3-1/3/r*Pi^2*b^2*e^3*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*(x^r)^3+1/6/r*Pi^2*b^2*e^3*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*(x^r)^3-3/8/r*Pi^2*b^2*d*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4*(x^r)^2+3/4/r*Pi^2*b^2*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^5*(x^r)^2+3/4/r*Pi^2*b^2*d*e^2*csgn(I*c*x^n)^5*csgn(I*c)*(x^r)^2-3/8/r*Pi^2*b^2*d*e^2*csgn(I*c*x^n)^4*csgn(I*c)^2*(x^r)^2-3/4/r*Pi^2*b^2*d^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^4*x^r+3/2/r*Pi^2*b^2*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^5*x^r+3/2/r*Pi^2*b^2*d^2*e*csgn(I*c*x^n)^5*csgn(I*c)*x^r-3/4/r*Pi^2*b^2*d^2*e*csgn(I*c*x^n)^4*csgn(I*c)^2*x^r-1/2*I*ln(x)^2*Pi*b^2*d^3*n*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*ln(x)^2*Pi*b^2*d^3*n*csgn(I*c*x^n)^2*csgn(I*c)-1/3*I/r*ln(c)*Pi*b^2*e^3*csgn(I*c*x^n)^3*(x^r)^3-1/3*I/r*Pi*a*b*e^3*csgn(I*c*x^n)^3*(x^r)^3+1/9*I/r^2*Pi*b^2*e^3*n*csgn(I*c*x^n)^3*(x^r)^3+I*ln(c)*Pi*ln(x)*b^2*d^3*csgn(I*x^n)*csgn(I*c*x^n)^2+I*ln(c)*Pi*ln(x)*b^2*d^3*csgn(I*c*x^n)^2*csgn(I*c)+1/6/r*Pi^2*b^2*e^3*csgn(I*c*x^n)^5*csgn(I*c)*(x^r)^3-1/12/r*Pi^2*b^2*e^3*csgn(I*c*x^n)^4*csgn(I*c)^2*(x^r)^3-3/8/r*Pi^2*b^2*d*e^2*csgn(I*c*x^n)^6*(x^r)^2-3/4/r*Pi^2*b^2*d^2*e*csgn(I*c*x^n)^6*x^r+3/r*ln(c)*a*b*d*e^2*(x^r)^2-3/2/r^2*ln(c)*b^2*d*e^2*n*(x^r)^2-3/2/r^2*a*b*d*e^2*n*(x^r)^2+6/r*ln(c)*a*b*d^2*e*x^r-6/r^2*ln(c)*b^2*d^2*e*n*x^r-6/r^2*a*b*d^2*e*n*x^r-1/12/r*Pi^2*b^2*e^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*(x^r)^3+1/6/r*Pi^2*b^2*e^3*csgn(I*x^n)*csgn(I*c*x^n)^5*(x^r)^3+1/2*I*ln(x)^2*Pi*b^2*d^3*n*csgn(I*c*x^n)^3+3/2*I/r*Pi*a*b*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-3/4*I/r^2*Pi*b^2*d*e^2*n*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+3*I/r*ln(c)*Pi*b^2*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+3*I/r*ln(c)*Pi*b^2*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+3*I/r*Pi*a*b*d^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-3*I/r^2*Pi*b^2*d^2*e*n*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+3*I/r*Pi*a*b*d^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+6*b^2*d^2*e*n^2*x^r/r^3-3*I/r^2*Pi*b^2*d^2*e*n*csgn(I*c*x^n)^2*csgn(I*c)*x^r-1/3*I/r*ln(c)*Pi*b^2*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3-1/3*I/r*Pi*a*b*e^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+1/9*I/r^2*Pi*b^2*e^3*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^3+3/2*I/r*ln(c)*Pi*b^2*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+3/2*I/r*ln(c)*Pi*b^2*d*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+3/2*I/r*Pi*a*b*d*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-3/4*I/r^2*Pi*b^2*d*e^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+1/2*csgn(I*c)*csgn(I*c*x^n)^3*csgn(I*x^n)^2*d^3*b^2*ln(x)*Pi^2-1/4*csgn(I*c)^2*csgn(I*c*x^n)^2*csgn(I*x^n)^2*d^3*b^2*ln(x)*Pi^2-csgn(I*c)*csgn(I*c*x^n)^4*csgn(I*x^n)*d^3*b^2*ln(x)*Pi^2+1/2*csgn(I*c)^2*csgn(I*c*x^n)^3*csgn(I*x^n)*d^3*b^2*ln(x)*Pi^2","C"
428,1,2844,153,0.530000," ","int((e*x^r+d)^2*(b*ln(c*x^n)+a)^2/x,x)","\text{output too large to display}"," ",0,"b^2*d^2*ln(c)^2*ln(x)+1/3*b^2*d^2*n^2*ln(x)^3+a^2*d^2*ln(x)+1/2/r*a^2*e^2*(x^r)^2-1/2*I*ln(x)^2*Pi*b^2*d^2*n*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*ln(x)^2*Pi*b^2*d^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I/r*ln(c)*Pi*b^2*e^2*csgn(I*c*x^n)^3*(x^r)^2-1/2*I/r*Pi*a*b*e^2*csgn(I*c*x^n)^3*(x^r)^2+1/4*I/r^2*Pi*b^2*e^2*n*csgn(I*c*x^n)^3*(x^r)^2-1/2*b*(-4*I*Pi*b*d*e*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+4*I*Pi*b*d*e*r*csgn(I*c*x^n)^3*x^r-I*Pi*b*e^2*r*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+2*I*Pi*ln(x)*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*r^2+I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+I*Pi*b*e^2*r*csgn(I*c*x^n)^3*(x^r)^2-2*I*Pi*ln(x)*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2*r^2+4*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-I*Pi*b*e^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-4*I*Pi*b*d*e*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-2*I*Pi*ln(x)*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)*r^2+2*I*Pi*ln(x)*b*d^2*csgn(I*c*x^n)^3*r^2+2*b*d^2*n*ln(x)^2*r^2-4*ln(c)*ln(x)*b*d^2*r^2-2*ln(c)*b*e^2*r*(x^r)^2-8*b*d*e*r*x^r*ln(c)-4*ln(x)*a*d^2*r^2-2*a*e^2*r*(x^r)^2+b*e^2*n*(x^r)^2-8*a*d*e*r*x^r+8*b*d*e*n*x^r)/r^2*ln(x^n)+1/2*b^2*(2*d^2*r*ln(x)+(x^r)^2*e^2+4*d*e*x^r)/r*ln(x^n)^2+2*a*b*d^2*ln(c)*ln(x)-a*b*d^2*n*ln(x)^2-b^2*d^2*n*ln(c)*ln(x)^2+I*ln(c)*Pi*ln(x)*b^2*d^2*csgn(I*c*x^n)^2*csgn(I*c)+I*ln(c)*Pi*ln(x)*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*ln(x)*a*b*d^2*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*ln(x)*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2/r*Pi^2*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*(x^r)^2+1/4/r*Pi^2*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*(x^r)^2+1/4/r*Pi^2*b^2*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*(x^r)^2-1/8/r*Pi^2*b^2*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*(x^r)^2+1/r*Pi^2*b^2*d*e*csgn(I*c*x^n)^5*csgn(I*c)*x^r+1/r*Pi^2*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)^5*x^r-1/2/r*Pi^2*b^2*d*e*csgn(I*c*x^n)^4*csgn(I*c)^2*x^r-1/2/r*Pi^2*b^2*d*e*csgn(I*x^n)^2*csgn(I*c*x^n)^4*x^r-2*I/r*ln(c)*Pi*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-2*I/r*Pi*a*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+2*I/r^2*Pi*b^2*d*e*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-1/2/r^2*a*b*e^2*n*(x^r)^2-1/8/r*Pi^2*b^2*e^2*csgn(I*c*x^n)^6*(x^r)^2+1/r*ln(c)*a*b*e^2*(x^r)^2-1/2/r^2*ln(c)*b^2*e^2*n*(x^r)^2+2/r*ln(c)^2*b^2*d*e*x^r-1/4*csgn(I*c*x^n)^4*csgn(I*x^n)^2*d^2*b^2*ln(x)*Pi^2+1/2*csgn(I*c*x^n)^5*csgn(I*x^n)*d^2*b^2*ln(x)*Pi^2+1/2*csgn(I*c)*csgn(I*c*x^n)^5*d^2*b^2*ln(x)*Pi^2-1/4*csgn(I*c)^2*csgn(I*c*x^n)^4*d^2*b^2*ln(x)*Pi^2-1/4*csgn(I*c)^2*csgn(I*c*x^n)^2*csgn(I*x^n)^2*d^2*b^2*ln(x)*Pi^2-csgn(I*c)*csgn(I*c*x^n)^4*csgn(I*x^n)*d^2*b^2*ln(x)*Pi^2+1/2*csgn(I*c)^2*csgn(I*c*x^n)^3*csgn(I*x^n)*d^2*b^2*ln(x)*Pi^2+4*b^2*d*e*n^2*x^r/r^3-1/4*csgn(I*c*x^n)^6*d^2*b^2*ln(x)*Pi^2+1/2/r*ln(c)^2*b^2*e^2*(x^r)^2+1/4/r^3*b^2*e^2*n^2*(x^r)^2+2/r*a^2*d*e*x^r+1/2*csgn(I*c)*csgn(I*c*x^n)^3*csgn(I*x^n)^2*d^2*b^2*ln(x)*Pi^2-1/2*I/r*ln(c)*Pi*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2-1/2*I/r*Pi*a*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+1/4*I/r^2*Pi*b^2*e^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*(x^r)^2+2*I/r*ln(c)*Pi*b^2*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+2*I/r*ln(c)*Pi*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+2*I/r*Pi*a*b*d*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r-2*I/r^2*Pi*b^2*d*e*n*csgn(I*c*x^n)^2*csgn(I*c)*x^r+2*I/r*Pi*a*b*d*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-2*I/r^2*Pi*b^2*d*e*n*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+1/4/r*Pi^2*b^2*e^2*csgn(I*c*x^n)^5*csgn(I*c)*(x^r)^2+1/4/r*Pi^2*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)^5*(x^r)^2-1/8/r*Pi^2*b^2*e^2*csgn(I*c*x^n)^4*csgn(I*c)^2*(x^r)^2-1/8/r*Pi^2*b^2*e^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4*(x^r)^2-1/2/r*Pi^2*b^2*d*e*csgn(I*c*x^n)^6*x^r+4/r*ln(c)*a*b*d*e*x^r-4/r^2*ln(c)*b^2*d*e*n*x^r-4/r^2*a*b*d*e*n*x^r-I*Pi*ln(x)*a*b*d^2*csgn(I*c*x^n)^3+1/2*I*ln(x)^2*Pi*b^2*d^2*n*csgn(I*c*x^n)^3-I*ln(c)*Pi*ln(x)*b^2*d^2*csgn(I*c*x^n)^3-I*ln(c)*Pi*ln(x)*b^2*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*ln(x)*a*b*d^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2/r*Pi^2*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*x^r+1/r*Pi^2*b^2*d*e*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*x^r+1/r*Pi^2*b^2*d*e*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*x^r-1/2/r*Pi^2*b^2*d*e*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*x^r+1/2*I/r*ln(c)*Pi*b^2*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+1/2*I/r*ln(c)*Pi*b^2*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2+1/2*I/r*Pi*a*b*e^2*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2-1/4*I/r^2*Pi*b^2*e^2*n*csgn(I*c*x^n)^2*csgn(I*c)*(x^r)^2+1/2*I/r*Pi*a*b*e^2*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-1/4*I/r^2*Pi*b^2*e^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2*(x^r)^2-2*I/r*ln(c)*Pi*b^2*d*e*csgn(I*c*x^n)^3*x^r-2*I/r*Pi*a*b*d*e*csgn(I*c*x^n)^3*x^r+2*I/r^2*Pi*b^2*d*e*n*csgn(I*c*x^n)^3*x^r+1/2*I*ln(x)^2*Pi*b^2*d^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)","C"
429,1,1712,78,0.469000," ","int((e*x^r+d)*(b*ln(c*x^n)+a)^2/x,x)","b^{2} d \ln \left(c \right)^{2} \ln \left(x \right)+\frac{b^{2} d \,n^{2} \ln \left(x \right)^{3}}{3}-\frac{\left(i \pi  b d \,r^{2} \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)-i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-i \pi  b d \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)+b d n \,r^{2} \ln \left(x \right)^{2}+i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 b d \,r^{2} \ln \left(c \right) \ln \left(x \right)-2 a d \,r^{2} \ln \left(x \right)-2 b e r \,x^{r} \ln \left(c \right)-2 a e r \,x^{r}+2 b e n \,x^{r}\right) b \ln \left(x^{n}\right)}{r^{2}}+a^{2} d \ln \left(x \right)+\frac{\left(d r \ln \left(x \right)+e \,x^{r}\right) b^{2} \ln \left(x^{n}\right)^{2}}{r}+\frac{a^{2} e \,x^{r}}{r}-i \pi  a 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)+\frac{i \pi  \,b^{2} e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)}{r}+\frac{i \pi  \,b^{2} e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)}{r}+\frac{i \pi  a b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{r}+\frac{i \pi  a b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{r}-\frac{i \pi  \,b^{2} e n \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{r^{2}}-\frac{i \pi  \,b^{2} e n \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{r^{2}}+\frac{i \pi  \,b^{2} d n \,\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}}{2}-i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right) \ln \left(x \right)-\frac{i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)^{2}}{2}-\frac{i \pi  \,b^{2} d n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)^{2}}{2}-\frac{\pi^{2} b^{2} e \,x^{r} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}}{4 r}+\frac{\pi^{2} b^{2} e \,x^{r} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 r}+\frac{\pi^{2} b^{2} e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2 r}-\frac{\pi^{2} b^{2} e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{r}+i \pi  \,b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right) \ln \left(x \right)+i \pi  \,b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right) \ln \left(x \right)+i \pi  a b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)+i \pi  a b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)-\frac{i \pi  \,b^{2} e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)}{r}-\frac{i \pi  a b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{r}+\frac{i \pi  \,b^{2} e n \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{r^{2}}-\frac{\pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4} \ln \left(x \right)}{4}+\frac{\pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5} \ln \left(x \right)}{2}-\frac{\pi^{2} b^{2} d \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4} \ln \left(x \right)}{4}+\frac{\pi^{2} b^{2} d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5} \ln \left(x \right)}{2}-\frac{\pi^{2} b^{2} e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}}{4 r}-\frac{\pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(x \right)}{4}+\frac{\pi^{2} b^{2} d \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}+\frac{\pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)}{2}-\pi^{2} b^{2} d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4} \ln \left(x \right)+\frac{i \pi  \,b^{2} d n \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)^{2}}{2}-\frac{\pi^{2} b^{2} e \,x^{r} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{4 r}+\frac{\pi^{2} b^{2} e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{2 r}-\frac{\pi^{2} b^{2} e \,x^{r} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}}{4 r}+\frac{\pi^{2} b^{2} e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}}{2 r}-i \pi  \,b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right) \ln \left(x \right)-i \pi  a b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(x \right)-\frac{i \pi  \,b^{2} e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)}{r}-\frac{i \pi  a b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{r}+\frac{i \pi  \,b^{2} e n \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{r^{2}}+2 a b d \ln \left(c \right) \ln \left(x \right)-b^{2} d n \ln \left(c \right) \ln \left(x \right)^{2}-a b d n \ln \left(x \right)^{2}+\frac{b^{2} e \,x^{r} \ln \left(c \right)^{2}}{r}-\frac{\pi^{2} b^{2} d \mathrm{csgn}\left(i c \,x^{n}\right)^{6} \ln \left(x \right)}{4}+\frac{2 a b e \,x^{r} \ln \left(c \right)}{r}-\frac{2 b^{2} e n \,x^{r} \ln \left(c \right)}{r^{2}}-\frac{2 a b e n \,x^{r}}{r^{2}}+\frac{2 b^{2} e \,n^{2} x^{r}}{r^{3}}"," ",0,"b^2*d*ln(c)^2*ln(x)+1/3*b^2*d*n^2*ln(x)^3+a^2*d*ln(x)+b^2*(d*r*ln(x)+e*x^r)/r*ln(x^n)^2+1/r*a^2*e*x^r-b*(-I*Pi*ln(x)*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*r^2+I*Pi*ln(x)*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*r^2+I*Pi*ln(x)*b*d*csgn(I*c*x^n)^3*r^2-I*Pi*ln(x)*b*d*csgn(I*c*x^n)^2*csgn(I*c)*r^2-I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r*r+I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r*r+I*Pi*b*e*csgn(I*c*x^n)^3*x^r*r-I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r*r+b*d*n*ln(x)^2*r^2-2*ln(c)*ln(x)*b*d*r^2-2*b*e*r*x^r*ln(c)-2*ln(x)*a*d*r^2-2*a*e*r*x^r+2*b*e*n*x^r)/r^2*ln(x^n)+1/2*csgn(I*c)*csgn(I*c*x^n)^3*csgn(I*x^n)^2*d*b^2*ln(x)*Pi^2-1/4*csgn(I*c*x^n)^4*csgn(I*x^n)^2*d*b^2*ln(x)*Pi^2+1/2*csgn(I*c*x^n)^5*csgn(I*x^n)*d*b^2*ln(x)*Pi^2+1/2*csgn(I*c)*csgn(I*c*x^n)^5*d*b^2*ln(x)*Pi^2-1/4*csgn(I*c)^2*csgn(I*c*x^n)^4*d*b^2*ln(x)*Pi^2+I/r*ln(c)*Pi*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+I/r*ln(c)*Pi*b^2*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r+I/r*Pi*a*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r+I/r*Pi*a*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r-I/r^2*Pi*b^2*e*n*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-I/r^2*Pi*b^2*e*n*csgn(I*c*x^n)^2*csgn(I*c)*x^r+1/2*I*ln(x)^2*Pi*b^2*d*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*ln(c)*Pi*ln(x)*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*ln(x)*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/r^2*Pi*b^2*e*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-I/r*ln(c)*Pi*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-I/r*Pi*a*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+2*a*b*d*ln(c)*ln(x)-b^2*d*n*ln(c)*ln(x)^2-a*b*d*n*ln(x)^2+1/2/r*Pi^2*b^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)*x^r-1/4/r*Pi^2*b^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2*x^r+I*ln(c)*Pi*ln(x)*b^2*d*csgn(I*x^n)*csgn(I*c*x^n)^2+I*ln(c)*Pi*ln(x)*b^2*d*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*ln(x)*a*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*ln(x)*a*b*d*csgn(I*c*x^n)^2*csgn(I*c)-1/r*Pi^2*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)*x^r+1/2/r*Pi^2*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2*x^r+I/r^2*Pi*b^2*e*n*csgn(I*c*x^n)^3*x^r-1/2*I*ln(x)^2*Pi*b^2*d*n*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*ln(x)^2*Pi*b^2*d*n*csgn(I*c*x^n)^2*csgn(I*c)-I/r*ln(c)*Pi*b^2*e*csgn(I*c*x^n)^3*x^r-I/r*Pi*a*b*e*csgn(I*c*x^n)^3*x^r+1/r*ln(c)^2*b^2*e*x^r-1/4*csgn(I*c*x^n)^6*d*b^2*ln(x)*Pi^2+2/r*ln(c)*a*b*e*x^r-2/r^2*ln(c)*b^2*e*n*x^r-2/r^2*a*b*e*n*x^r-1/4/r*Pi^2*b^2*e*csgn(I*c*x^n)^6*x^r-1/4*csgn(I*c)^2*csgn(I*c*x^n)^2*csgn(I*x^n)^2*d*b^2*ln(x)*Pi^2-csgn(I*c)*csgn(I*c*x^n)^4*csgn(I*x^n)*d*b^2*ln(x)*Pi^2+1/2*csgn(I*c)^2*csgn(I*c*x^n)^3*csgn(I*x^n)*d*b^2*ln(x)*Pi^2+2*b^2*e*n^2*x^r/r^3-1/4/r*Pi^2*b^2*e*csgn(I*x^n)^2*csgn(I*c*x^n)^4*x^r+1/2/r*Pi^2*b^2*e*csgn(I*x^n)*csgn(I*c*x^n)^5*x^r+1/2/r*Pi^2*b^2*e*csgn(I*c*x^n)^5*csgn(I*c)*x^r-1/4/r*Pi^2*b^2*e*csgn(I*c*x^n)^4*csgn(I*c)^2*x^r+1/2*I*ln(x)^2*Pi*b^2*d*n*csgn(I*c*x^n)^3-I*ln(c)*Pi*ln(x)*b^2*d*csgn(I*c*x^n)^3-I*Pi*ln(x)*a*b*d*csgn(I*c*x^n)^3","C"
430,1,3012,94,0.338000," ","int((b*ln(c*x^n)+a)^2/x/(e*x^r+d),x)","\text{output too large to display}"," ",0,"-I/r/d*ln(x^r)*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^3-1/2/r/d*ln(e*x^r+d)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-2/3*b^2/d*n^2*ln(x)^3-1/4/r/d*ln(x^r)*Pi^2*b^2*csgn(I*c*x^n)^6+1/4/r/d*ln(e*x^r+d)*Pi^2*b^2*csgn(I*c*x^n)^6+2*b/r/d*ln(x^r)*ln(x^n)*a+I/r*n/d*ln(x)*ln(1/d*e*x^r+1)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I/r/d*ln(e*x^r+d)*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-I/r/d*ln(e*x^r+d)*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2-2*b/r/d*ln(e*x^r+d)*ln(x^n)*a+I/r^2*n/d*polylog(2,-1/d*e*x^r)*b^2*Pi*csgn(I*c*x^n)^3+b^2/d*n*ln(x)^2*ln(x^n)+1/r/d*ln(x^r)*a^2-1/r/d*ln(e*x^r+d)*a^2+I/r/d*ln(e*x^r+d)*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^3+1/2*I*n/d*ln(x)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I/r/d*ln(e*x^r+d)*ln(c)*Pi*b^2*csgn(I*c*x^n)^3-1/4/r/d*ln(x^r)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2+2/r/d*ln(x^r)*ln(x^n)*b^2*ln(c)+2/r/d*ln(x^r)*ln(c)*a*b-2/r/d*ln(e*x^r+d)*ln(c)*a*b-2*b/r^2*n/d*polylog(2,-1/d*e*x^r)*a-2/r/d*ln(e*x^r+d)*ln(x^n)*b^2*ln(c)-2/r^2*n/d*polylog(2,-1/d*e*x^r)*b^2*ln(c)-I/r/d*ln(e*x^r+d)*n*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/r/d*ln(x^r)*n*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/4/r/d*ln(x^r)*Pi^2*b^2*csgn(I*c*x^n)^4*csgn(I*c)^2+1/2/r/d*ln(x^r)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-1/r/d*ln(x^r)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+1/2/r/d*ln(x^r)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+1/4/r/d*ln(e*x^r+d)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-I/r/d*ln(e*x^r+d)*n*ln(x)*b^2*Pi*csgn(I*c*x^n)^3-I/r^2*n/d*polylog(2,-1/d*e*x^r)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I/r^2*n/d*polylog(2,-1/d*e*x^r)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+I/r/d*ln(e*x^r+d)*Pi*a*b*csgn(I*c*x^n)^3-2/r*n/d*ln(x)*ln(1/d*e*x^r+1)*b^2*ln(c)-2/r/d*ln(x^r)*n*ln(x)*b^2*ln(c)+2/r/d*ln(e*x^r+d)*n*ln(x)*b^2*ln(c)-1/2/r/d*ln(e*x^r+d)*Pi^2*b^2*csgn(I*c*x^n)^5*csgn(I*c)+I/r/d*ln(x^r)*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2+b^2/r/d*ln(x^r)*ln(x)^2*n^2-b^2/r/d*ln(e*x^r+d)*ln(x)^2*n^2+b^2/r*n^2/d*ln(x)^2*ln(1/d*e*x^r+1)-2*b^2/r^2*n/d*polylog(2,-1/d*e*x^r)*ln(x^n)-I/r/d*ln(x^r)*Pi*a*b*csgn(I*c*x^n)^3-1/2/r/d*ln(e*x^r+d)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5+I/r/d*ln(e*x^r+d)*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/r/d*ln(e*x^r+d)*n*ln(x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/r/d*ln(e*x^r+d)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)-I/r/d*ln(x^r)*ln(c)*Pi*b^2*csgn(I*c*x^n)^3-1/2/r/d*ln(e*x^r+d)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-I/r/d*ln(e*x^r+d)*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*n/d*ln(x)^2*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I/r/d*ln(x^r)*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I*n/d*ln(x)^2*b^2*Pi*csgn(I*c*x^n)^3+b^2/d*n*ln(c)*ln(x)^2+1/4/r/d*ln(e*x^r+d)*Pi^2*b^2*csgn(I*c*x^n)^4*csgn(I*c)^2-1/4/r/d*ln(x^r)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*b/r/d*ln(e*x^r+d)*n*ln(x)*a-2*b/r*n/d*ln(x)*ln(1/d*e*x^r+1)*a+1/4/r/d*ln(e*x^r+d)*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+I/r^2*n/d*polylog(2,-1/d*e*x^r)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/r/d*ln(e*x^r+d)*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I/r/d*ln(e*x^r+d)*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*b/r/d*ln(x^r)*n*ln(x)*a+1/2/r/d*ln(x^r)*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5+1/2/r/d*ln(x^r)*Pi^2*b^2*csgn(I*c*x^n)^5*csgn(I*c)-I/r/d*ln(e*x^r+d)*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c)-I/r/d*ln(e*x^r+d)*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*n/d*ln(x)^2*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-I/r/d*ln(x^r)*n*ln(x)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+a*b/d*n*ln(x)^2-2*b^2/r/d*ln(x^r)*ln(x)*ln(x^n)*n+2*b^2/r/d*ln(e*x^r+d)*ln(x)*ln(x^n)*n-2*b^2/r*n/d*ln(x)*ln(1/d*e*x^r+1)*ln(x^n)-I/r/d*ln(e*x^r+d)*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/r/d*ln(e*x^r+d)*ln(c)^2*b^2+1/r/d*ln(x^r)*ln(c)^2*b^2-b^2/r/d*ln(e*x^r+d)*ln(x^n)^2+2*b^2/r^3*n^2/d*polylog(3,-1/d*e*x^r)+b^2/r/d*ln(x^r)*ln(x^n)^2+I/r/d*ln(x^r)*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c)+I/r/d*ln(x^r)*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+I/r/d*ln(x^r)*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)-I/r*n/d*ln(x)*ln(1/d*e*x^r+1)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I/r*n/d*ln(x)*ln(1/d*e*x^r+1)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-I/r/d*ln(x^r)*n*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I/r/d*ln(e*x^r+d)*n*ln(x)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I/r/d*ln(x^r)*n*ln(x)*b^2*Pi*csgn(I*c*x^n)^3+I/r/d*ln(x^r)*ln(x^n)*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+I/r*n/d*ln(x)*ln(1/d*e*x^r+1)*b^2*Pi*csgn(I*c*x^n)^3+I/r/d*ln(x^r)*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I/r/d*ln(x^r)*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I/r/d*ln(x^r)*ln(x^n)*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)","C"
431,0,0,182,0.985000," ","int((b*ln(c*x^n)+a)^2/x/(e*x^r+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e \,x^{r}+d \right)^{2} x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/x/(e*x^r+d)^2,x)","F"
432,0,0,265,0.852000," ","int((b*ln(c*x^n)+a)^2/x/(e*x^r+d)^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}{\left(e \,x^{r}+d \right)^{3} x}\, dx"," ",0,"int((b*ln(c*x^n)+a)^2/x/(e*x^r+d)^3,x)","F"
433,0,0,267,0.594000," ","int((e*x^r+d)^(5/2)*(b*ln(c*x^n)+a)/x,x)","\int \frac{\left(e \,x^{r}+d \right)^{\frac{5}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}{x}\, dx"," ",0,"int((e*x^r+d)^(5/2)*(b*ln(c*x^n)+a)/x,x)","F"
434,0,0,230,0.536000," ","int((e*x^r+d)^(3/2)*(b*ln(c*x^n)+a)/x,x)","\int \frac{\left(e \,x^{r}+d \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}{x}\, dx"," ",0,"int((e*x^r+d)^(3/2)*(b*ln(c*x^n)+a)/x,x)","F"
435,0,0,198,0.579000," ","int((e*x^r+d)^(1/2)*(b*ln(c*x^n)+a)/x,x)","\int \frac{\sqrt{e \,x^{r}+d}\, \left(b \ln \left(c \,x^{n}\right)+a \right)}{x}\, dx"," ",0,"int((e*x^r+d)^(1/2)*(b*ln(c*x^n)+a)/x,x)","F"
436,0,0,142,0.680000," ","int((b*ln(c*x^n)+a)/x/(e*x^r+d)^(1/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\sqrt{e \,x^{r}+d}\, x}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x/(e*x^r+d)^(1/2),x)","F"
437,0,0,185,0.403000," ","int((b*ln(c*x^n)+a)/x/(e*x^r+d)^(3/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{r}+d \right)^{\frac{3}{2}} x}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x/(e*x^r+d)^(3/2),x)","F"
438,0,0,221,0.416000," ","int((b*ln(c*x^n)+a)/x/(e*x^r+d)^(5/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{r}+d \right)^{\frac{5}{2}} x}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x/(e*x^r+d)^(5/2),x)","F"
439,0,0,258,0.421000," ","int((b*ln(c*x^n)+a)/x/(e*x^r+d)^(7/2),x)","\int \frac{b \ln \left(c \,x^{n}\right)+a}{\left(e \,x^{r}+d \right)^{\frac{7}{2}} x}\, dx"," ",0,"int((b*ln(c*x^n)+a)/x/(e*x^r+d)^(7/2),x)","F"
440,1,22706,233,2.055000," ","int((f*x)^m*(e*x^r+d)^3*(b*ln(c*x^n)+a),x)","\text{output too large to display}"," ",0,"result too large to display","C"
441,1,8737,165,0.966000," ","int((f*x)^m*(e*x^r+d)^2*(b*ln(c*x^n)+a),x)","\text{output too large to display}"," ",0,"result too large to display","C"
442,1,2152,97,0.468000," ","int((f*x)^m*(e*x^r+d)*(b*ln(c*x^n)+a),x)","\frac{\left(e m \,x^{r}+d m +d r +e \,x^{r}+d \right) b x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right) m}{2}} \ln \left(x^{n}\right)}{\left(m +1\right) \left(m +r +1\right)}-\frac{\left(2 b d n -2 a e \,x^{r}-6 a d m -6 a e \,m^{2} x^{r}-2 a e \,m^{3} x^{r}-2 a e r \,x^{r}+2 b e n \,x^{r}-6 a e m \,x^{r}-2 b d \,m^{3} \ln \left(c \right)-6 b d \,m^{2} \ln \left(c \right)-6 b d m \ln \left(c \right)-2 a e \,m^{2} r \,x^{r}+2 b e \,m^{2} n \,x^{r}-4 a e m r \,x^{r}+4 b e m n \,x^{r}-2 b e \,m^{3} x^{r} \ln \left(c \right)-6 a d \,m^{2}-4 a d \,m^{2} r -2 a d m \,r^{2}-2 b d \,r^{2} \ln \left(c \right)-4 b d r \ln \left(c \right)-2 b e \,x^{r} \ln \left(c \right)-4 a d r -2 a d +2 b d n \,r^{2}+2 b d \,m^{2} n -i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 a d \,m^{3}-2 a d \,r^{2}+4 b d n r -2 b d \ln \left(c \right)+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)+4 b d m n -8 a d m r +i \pi  b e \,m^{2} r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b e \,x^{r} \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^{r} \ln \left(c \right)+i \pi  b e r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b d \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b d \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b d \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 i \pi  b d r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 i \pi  b e m r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+4 b d m n r -2 i \pi  b d r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b e \,m^{2} x^{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 m r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b e m r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b d m r \,\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 e m \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b e \,m^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b e \,m^{2} r \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e \,m^{2} r \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b d \,m^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b d m \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 i \pi  b d m r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  b d m r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b e m \,x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b e m \,x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b d m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 b e m r \,x^{r} \ln \left(c \right)-2 b e \,m^{2} r \,x^{r} \ln \left(c \right)+i \pi  b d \,m^{3} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3 i \pi  b d \,m^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3 i \pi  b d m \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b e m r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3 i \pi  b d \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b e \,m^{3} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b e \,m^{3} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b e \,m^{2} r \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b d \,m^{3} \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 d \,m^{2} r \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b d \,m^{2} r \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d m \,r^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d m \,r^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b e \,m^{2} x^{r} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b e \,m^{2} x^{r} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-6 b e \,m^{2} x^{r} \ln \left(c \right)-6 b e m \,x^{r} \ln \left(c \right)+i \pi  b e \,m^{3} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-i \pi  b d \,m^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b d \,m^{3} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b d \,m^{2} r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b d m \,r^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3 i \pi  b e \,m^{2} x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-3 i \pi  b d \,m^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b d \,m^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  b d m r \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+3 i \pi  b e m \,x^{r} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-3 i \pi  b d m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b d m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 b d \,m^{2} r \ln \left(c \right)-2 b d m \,r^{2} \ln \left(c \right)-8 b d m r \ln \left(c \right)\right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right) m}{2}}}{2 \left(m +1\right)^{2} \left(m +r +1\right)^{2}}"," ",0,"b*x*(m*e*x^r+m*d+d*r+e*x^r+d)/(m+1)/(1+m+r)*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)*ln(x^n)-1/2*x*(2*b*d*n-2*a*e*x^r-6*a*d*m+2*I*Pi*b*e*m*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-6*a*e*m^2*x^r-2*a*e*m^3*x^r-2*a*e*r*x^r+2*b*e*n*x^r-6*x^r*a*e*m-2*b*d*m^3*ln(c)-6*b*d*m^2*ln(c)-6*b*d*m*ln(c)-2*a*e*m^2*r*x^r+2*b*e*m^2*n*x^r-4*a*e*m*r*x^r+4*b*e*m*n*x^r-2*ln(c)*b*e*m^3*x^r-6*a*d*m^2-4*a*d*m^2*r-2*a*d*m*r^2-2*b*d*r^2*ln(c)-4*b*d*r*ln(c)-2*b*e*x^r*ln(c)-4*a*d*r-2*a*d+2*b*d*n*r^2+2*b*d*m^2*n+I*Pi*b*e*r*x^r*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-3*I*Pi*b*d*m*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*Pi*b*d*m*csgn(I*c*x^n)^2*csgn(I*c)+2*I*Pi*b*d*m^2*r*csgn(I*c*x^n)^3-2*a*d*m^3-2*a*d*r^2+4*b*d*n*r-2*b*d*ln(c)-3*I*Pi*b*e*m*csgn(I*c*x^n)^2*csgn(I*c)*x^r+I*Pi*b*d*m^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*d*m^3*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*m^3*csgn(I*c*x^n)^2*csgn(I*c)+4*b*d*m*n-8*a*d*m*r-I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*r^2*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*e*m^3*csgn(I*c*x^n)^3*x^r-3*I*Pi*b*d*m^2*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*Pi*b*d*m^2*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*b*d*m*r*csgn(I*c*x^n)^3+I*Pi*b*e*m^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+4*I*Pi*b*d*m*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*I*Pi*b*d*m^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+3*I*Pi*b*e*m^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+3*I*Pi*b*e*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-I*Pi*b*e*m^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-I*Pi*b*e*m^2*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+I*Pi*b*d*m*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*I*Pi*b*d*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*b*e*r*x^r*ln(c)+I*Pi*b*e*r*x^r*csgn(I*c*x^n)^3+2*I*Pi*b*d*csgn(I*c*x^n)^3*r-I*Pi*b*d*csgn(I*c*x^n)^2*csgn(I*c)+3*I*Pi*b*d*m^2*csgn(I*c*x^n)^3+3*I*Pi*b*d*m*csgn(I*c*x^n)^3+I*Pi*b*e*m^2*r*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r-2*I*Pi*b*e*m*r*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-2*I*Pi*b*e*m*r*csgn(I*c*x^n)^2*csgn(I*c)*x^r+4*b*d*m*n*r+I*Pi*b*d*csgn(I*c*x^n)^3+2*I*Pi*b*e*m*r*csgn(I*c*x^n)^3*x^r-3*I*Pi*b*e*m^2*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-2*I*Pi*b*d*m^2*r*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*d*m*r^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d*m*r^2*csgn(I*c*x^n)^2*csgn(I*c)-3*I*Pi*b*e*m*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-4*I*Pi*b*d*m*r*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b*d*m*r*csgn(I*c*x^n)^2*csgn(I*c)-I*Pi*b*e*r*x^r*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*d*m*r^2*csgn(I*c*x^n)^3+3*I*Pi*b*e*m*csgn(I*c*x^n)^3*x^r+3*I*Pi*b*e*m^2*csgn(I*c*x^n)^3*x^r-4*ln(c)*b*e*m*r*x^r-2*ln(c)*b*e*m^2*r*x^r+I*Pi*b*d*m^3*csgn(I*c*x^n)^3+I*Pi*b*d*r^2*csgn(I*c*x^n)^3+I*Pi*b*e*csgn(I*c*x^n)^3*x^r-I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*e*r*x^r*csgn(I*c)*csgn(I*c*x^n)^2-2*I*Pi*b*d*r*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*e*csgn(I*c*x^n)^2*csgn(I*c)*x^r-I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-2*I*Pi*b*d*csgn(I*x^n)*csgn(I*c*x^n)^2*r-3*I*Pi*b*e*m^2*csgn(I*c*x^n)^2*csgn(I*c)*x^r-I*Pi*b*e*m^3*csgn(I*x^n)*csgn(I*c*x^n)^2*x^r-I*Pi*b*e*m^3*csgn(I*c*x^n)^2*csgn(I*c)*x^r+3*I*Pi*b*d*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*b*e*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*x^r+I*Pi*b*d*r^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+I*Pi*b*e*m^2*r*csgn(I*c*x^n)^3*x^r+3*I*Pi*b*d*m^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*b*d*m^2*r*csgn(I*x^n)*csgn(I*c*x^n)^2-6*ln(c)*b*e*m^2*x^r-6*ln(c)*b*e*m*x^r-4*ln(c)*b*d*m^2*r-2*ln(c)*b*d*m*r^2-8*ln(c)*b*d*m*r)/(m+1)^2/(1+m+r)^2*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)","C"
443,1,371,46,0.070000," ","int((f*x)^m*(b*ln(c*x^n)+a),x)","\frac{b x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right) m}{2}} \ln \left(x^{n}\right)}{m +1}-\frac{\left(i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b m \mathrm{csgn}\left(i c \,x^{n}\right)^{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)-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 m \ln \left(c \right)-2 a m +2 b n -2 b \ln \left(c \right)-2 a \right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)+i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i f x \right)^{2}-i \pi  \mathrm{csgn}\left(i f x \right)^{3}+2 \ln \left(f \right)+2 \ln \left(x \right)\right) m}{2}}}{2 \left(m +1\right)^{2}}"," ",0,"b/(m+1)*x*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)*ln(x^n)-1/2*(I*Pi*b*m*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*m*csgn(I*c)*csgn(I*c*x^n)^2-I*Pi*b*m*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*m*csgn(I*c*x^n)^3+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)^3-2*b*m*ln(c)-2*a*m+2*b*n-2*b*ln(c)-2*a)/(m+1)^2*x*exp(1/2*(-I*Pi*csgn(I*f)*csgn(I*x)*csgn(I*f*x)+I*Pi*csgn(I*f)*csgn(I*f*x)^2+I*Pi*csgn(I*x)*csgn(I*f*x)^2-I*Pi*csgn(I*f*x)^3+2*ln(f)+2*ln(x))*m)","C"
444,0,0,27,1.096000," ","int((f*x)^m*(b*ln(c*x^n)+a)/(e*x^r+d),x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \left(f x \right)^{m}}{e \,x^{r}+d}\, dx"," ",0,"int((f*x)^m*(b*ln(c*x^n)+a)/(e*x^r+d),x)","F"
445,0,0,27,1.258000," ","int((f*x)^m*(b*ln(c*x^n)+a)/(e*x^r+d)^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right) \left(f x \right)^{m}}{\left(e \,x^{r}+d \right)^{2}}\, dx"," ",0,"int((f*x)^m*(b*ln(c*x^n)+a)/(e*x^r+d)^2,x)","F"
446,0,0,104,0.664000," ","int((d+e/(x^(1/(1+q))))^q*(b*ln(c*x^n)+a),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \left(e \,x^{-\frac{1}{q +1}}+d \right)^{q}\, dx"," ",0,"int((d+e/(x^(1/(1+q))))^q*(b*ln(c*x^n)+a),x)","F"
447,0,0,123,0.742000," ","int((f*x)^(-1-(q+1)*r)*(e*x^r+d)^q*(b*ln(c*x^n)+a),x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right) \left(f x \right)^{-\left(q +1\right) r -1} \left(e \,x^{r}+d \right)^{q}\, dx"," ",0,"int((f*x)^(-1-(q+1)*r)*(e*x^r+d)^q*(b*ln(c*x^n)+a),x)","F"
448,0,0,484,1.561000," ","int((f*x)^m*(e*x^r+d)^3*(b*ln(c*x^n)+a)^p,x)","\int \left(e \,x^{r}+d \right)^{3} \left(f x \right)^{m} \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int((f*x)^m*(e*x^r+d)^3*(b*ln(c*x^n)+a)^p,x)","F"
449,0,0,353,1.321000," ","int((f*x)^m*(e*x^r+d)^2*(b*ln(c*x^n)+a)^p,x)","\int \left(e \,x^{r}+d \right)^{2} \left(f x \right)^{m} \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int((f*x)^m*(e*x^r+d)^2*(b*ln(c*x^n)+a)^p,x)","F"
450,0,0,222,1.623000," ","int((f*x)^m*(e*x^r+d)*(b*ln(c*x^n)+a)^p,x)","\int \left(e \,x^{r}+d \right) \left(f x \right)^{m} \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int((f*x)^m*(e*x^r+d)*(b*ln(c*x^n)+a)^p,x)","F"
451,0,0,107,1.684000," ","int((f*x)^m*(b*ln(c*x^n)+a)^p,x)","\int \left(f x \right)^{m} \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int((f*x)^m*(b*ln(c*x^n)+a)^p,x)","F"
452,0,0,29,0.881000," ","int((f*x)^m*(b*ln(c*x^n)+a)^p/(e*x^r+d),x)","\int \frac{\left(f x \right)^{m} \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}}{e \,x^{r}+d}\, dx"," ",0,"int((f*x)^m*(b*ln(c*x^n)+a)^p/(e*x^r+d),x)","F"
453,0,0,29,0.885000," ","int((f*x)^m*(b*ln(c*x^n)+a)^p/(e*x^r+d)^2,x)","\int \frac{\left(f x \right)^{m} \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}}{\left(e \,x^{r}+d \right)^{2}}\, dx"," ",0,"int((f*x)^m*(b*ln(c*x^n)+a)^p/(e*x^r+d)^2,x)","F"
454,1,624,107,0.319000," ","int((g*x+f)*(b*ln(c*x^n)+a)/(e*x+d)^3,x)","-\frac{\left(2 g x e +d g +e f \right) b \ln \left(x^{n}\right)}{2 \left(e x +d \right)^{2} e^{2}}+\frac{2 i \pi  b \,d^{2} e g x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-2 b \,d^{3} g \ln \left(c \right)-2 b \,d^{3} g n -2 a \,d^{2} e f -2 a \,d^{3} g +2 b d \,e^{2} g n \,x^{2} \ln \left(-x \right)+4 b \,d^{2} e g n x \ln \left(-x \right)+4 b d \,e^{2} f n x \ln \left(-x \right)-2 b d \,e^{2} g n \,x^{2} \ln \left(e x +d \right)-4 b \,d^{2} e g n x \ln \left(e x +d \right)-4 b d \,e^{2} f n x \ln \left(e x +d \right)-2 b \,d^{2} e g n x +2 b d \,e^{2} f n x +2 b \,d^{3} g n \ln \left(-x \right)-2 b \,d^{3} g n \ln \left(e x +d \right)-2 b \,d^{2} e f \ln \left(c \right)-4 a \,d^{2} e g x +2 b \,d^{2} e f n +2 b \,e^{3} f n \,x^{2} \ln \left(-x \right)+2 b \,d^{2} e f n \ln \left(-x \right)-2 b \,e^{3} f n \,x^{2} \ln \left(e x +d \right)-2 b \,d^{2} e f n \ln \left(e x +d \right)-4 b \,d^{2} e g x \ln \left(c \right)+i \pi  b \,d^{3} g \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 i \pi  b \,d^{2} e g x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b \,d^{2} e g x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{2} e f \,\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 \,d^{2} e g x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b \,d^{3} g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b \,d^{2} e f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{2} e f \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{3} g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,d^{3} g \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,d^{2} e f \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{4 \left(e x +d \right)^{2} d^{2} e^{2}}"," ",0,"-1/2*b*(2*e*g*x+d*g+e*f)/(e*x+d)^2/e^2*ln(x^n)+1/4*(-2*ln(c)*b*d^3*g-2*b*d^3*g*n-2*a*d^2*e*f-2*a*d^3*g+I*Pi*b*d^3*g*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*d^2*e*f*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*d^2*e*f*csgn(I*c*x^n)^2*csgn(I*c)+2*I*Pi*b*d^2*e*g*x*csgn(I*c*x^n)^3+2*I*Pi*b*d^2*e*g*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*ln(-x)*b*d*e^2*g*n*x^2+4*ln(-x)*b*d^2*e*g*n*x+4*ln(-x)*b*d*e^2*f*n*x-2*ln(e*x+d)*b*d*e^2*g*n*x^2-4*ln(e*x+d)*b*d^2*e*g*n*x-4*ln(e*x+d)*b*d*e^2*f*n*x-I*Pi*b*d^3*g*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*d^2*e*g*x*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b*d^2*e*g*x*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d^2*e*f*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*b*d^2*e*g*n*x+2*b*d*e^2*f*n*x+2*ln(-x)*b*d^3*g*n-2*ln(e*x+d)*b*d^3*g*n-2*ln(c)*b*d^2*e*f-4*a*d^2*e*g*x+2*b*d^2*e*f*n+2*ln(-x)*b*e^3*f*n*x^2+2*ln(-x)*b*d^2*e*f*n-2*ln(e*x+d)*b*e^3*f*n*x^2-2*ln(e*x+d)*b*d^2*e*f*n-4*ln(c)*b*d^2*e*g*x-I*Pi*b*d^3*g*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi*b*d^3*g*csgn(I*c*x^n)^3+I*Pi*b*d^2*e*f*csgn(I*c*x^n)^3)/d^2/e^2/(e*x+d)^2","C"
455,1,2163,198,0.389000," ","int((g*x+f)*(b*ln(c*x^n)+a)^2/(e*x+d)^3,x)","\text{Expression too large to display}"," ",0,"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+2*b*ln(c)+2*a)^2*(-1/2*(-d*g+e*f)/e^2/(e*x+d)^2-g/e^2/(e*x+d))-I/e^2*ln(x^n)/(e*x+d)*g*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*ln(x^n)/e/(e*x+d)^2*f*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I*ln(x^n)/e/(e*x+d)^2*f*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I/e^2*n/d*ln(e*x+d)*g*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+I/e^2*ln(x^n)/(e*x+d)*g*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+b*ln(x^n)/e^2/(e*x+d)^2*d*g*a+b/e*n/d/(e*x+d)*f*a+b/e^2*n/d*ln(x)*g*a+b/e*n/d^2*ln(x)*f*a-b/e^2*n/d*ln(e*x+d)*g*a-1/2*I*ln(x^n)/e^2/(e*x+d)^2*d*g*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I/e^2*n/d*ln(x)*g*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I/e^2*n/d*ln(x)*g*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I/e*n/d/(e*x+d)*f*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I/e*n/d/(e*x+d)*f*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*ln(x^n)/e^2/(e*x+d)^2*d*g*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*ln(x^n)/e/(e*x+d)^2*f*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I/e^2*n/(e*x+d)*g*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+b^2*n/e^2*ln(x^n)/d*ln(x)*g+b^2*n/e*ln(x^n)/d^2*ln(x)*f+b^2*n/e*ln(x^n)/d/(e*x+d)*f-1/2*I/e*n/d^2*ln(x)*f*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+1/2*I/e^2*n/d*ln(e*x+d)*g*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-b/e*n/d^2*ln(e*x+d)*f*a+I/e^2*ln(x^n)/(e*x+d)*g*b^2*Pi*csgn(I*c*x^n)^3-I/e^2*ln(x^n)/(e*x+d)*g*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I/e*n/d^2*ln(e*x+d)*f*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I*ln(x^n)/e^2/(e*x+d)^2*d*g*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I/e*n/d^2*ln(e*x+d)*f*b^2*Pi*csgn(I*c*x^n)^3-1/2*I/e^2*n/(e*x+d)*g*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-1/2*I/e*n/d^2*ln(e*x+d)*f*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I*ln(x^n)/e/(e*x+d)^2*f*b^2*Pi*csgn(I*c*x^n)^3+1/2*I/e^2*n/(e*x+d)*g*b^2*Pi*csgn(I*c*x^n)^3-1/2*b^2*ln(x^n)^2/e/(e*x+d)^2*f-1/2*I/e^2*n/d*ln(e*x+d)*g*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+1/2*I/e*n/d^2*ln(e*x+d)*f*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I/e^2*n/(e*x+d)*g*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I*ln(x^n)/e^2/(e*x+d)^2*d*g*b^2*Pi*csgn(I*c*x^n)^3+1/2*I/e*n/d^2*ln(x)*f*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+1/2*I/e*n/d^2*ln(x)*f*b^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)-1/2*I/e*n/d^2*ln(x)*f*b^2*Pi*csgn(I*c*x^n)^3+1/2*I/e^2*n/d*ln(e*x+d)*g*b^2*Pi*csgn(I*c*x^n)^3-b^2*ln(x^n)^2*g/e^2/(e*x+d)-1/2*I/e*n/d/(e*x+d)*f*b^2*Pi*csgn(I*c*x^n)^3-1/2*I/e^2*n/d*ln(x)*g*b^2*Pi*csgn(I*c*x^n)^3-b^2*n/e^2*ln(x^n)/d*ln(e*x+d)*g-b^2*n/e*ln(x^n)/d^2*ln(e*x+d)*f-1/e^2*n/(e*x+d)*g*b^2*ln(c)-b/e^2*n/(e*x+d)*g*a-1/2*b^2/e^2*n^2/d*ln(x)^2*g-1/2*b^2/e*n^2/d^2*ln(x)^2*f+b^2/e^2*n^2/d*ln(x)*g-b^2/e*n^2/d^2*ln(x)*f-b^2/e^2*n^2/d*ln(e*x+d)*g+b^2/e*n^2/d^2*ln(e*x+d)*f+b^2/e^2*n^2/d*dilog(-1/d*e*x)*g+b^2/e*n^2/d^2*dilog(-1/d*e*x)*f-2/e^2*ln(x^n)/(e*x+d)*g*b^2*ln(c)-2*b/e^2*ln(x^n)/(e*x+d)*g*a-b*ln(x^n)/e/(e*x+d)^2*f*a+1/2*b^2*ln(x^n)^2/e^2/(e*x+d)^2*d*g-b^2*n/e^2*ln(x^n)/(e*x+d)*g-ln(x^n)/e/(e*x+d)^2*f*b^2*ln(c)+b^2/e^2*n^2/d*ln(e*x+d)*ln(-1/d*e*x)*g+b^2/e*n^2/d^2*ln(e*x+d)*ln(-1/d*e*x)*f-1/2*I/e*n/d/(e*x+d)*f*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-1/2*I/e^2*n/d*ln(x)*g*b^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+ln(x^n)/e^2/(e*x+d)^2*d*g*b^2*ln(c)+1/e^2*n/d*ln(x)*g*b^2*ln(c)+1/e*n/d^2*ln(x)*f*b^2*ln(c)-1/e^2*n/d*ln(e*x+d)*g*b^2*ln(c)-1/e*n/d^2*ln(e*x+d)*f*b^2*ln(c)+1/e*n/d/(e*x+d)*f*b^2*ln(c)","C"
456,0,0,287,1.747000," ","int((g*x+f)*(b*ln(c*x^n)+a)^3/(e*x+d)^3,x)","\int \frac{\left(g x +f \right) \left(b \ln \left(c \,x^{n}\right)+a \right)^{3}}{\left(e x +d \right)^{3}}\, dx"," ",0,"int((g*x+f)*(b*ln(c*x^n)+a)^3/(e*x+d)^3,x)","F"