1,1,73,0,0.302423," ","integrate(x^3*(e*x+d)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{5} \, b n x^{5} e \log\left(x\right) - \frac{1}{25} \, b n x^{5} e + \frac{1}{5} \, b x^{5} e \log\left(c\right) + \frac{1}{4} \, b d n x^{4} \log\left(x\right) - \frac{1}{16} \, b d n x^{4} + \frac{1}{5} \, a x^{5} e + \frac{1}{4} \, b d x^{4} \log\left(c\right) + \frac{1}{4} \, a d x^{4}"," ",0,"1/5*b*n*x^5*e*log(x) - 1/25*b*n*x^5*e + 1/5*b*x^5*e*log(c) + 1/4*b*d*n*x^4*log(x) - 1/16*b*d*n*x^4 + 1/5*a*x^5*e + 1/4*b*d*x^4*log(c) + 1/4*a*d*x^4","A",0
2,1,73,0,0.360895," ","integrate(x^2*(e*x+d)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{4} \, b n x^{4} e \log\left(x\right) - \frac{1}{16} \, b n x^{4} e + \frac{1}{4} \, b x^{4} e \log\left(c\right) + \frac{1}{3} \, b d n x^{3} \log\left(x\right) - \frac{1}{9} \, b d n x^{3} + \frac{1}{4} \, a x^{4} e + \frac{1}{3} \, b d x^{3} \log\left(c\right) + \frac{1}{3} \, a d x^{3}"," ",0,"1/4*b*n*x^4*e*log(x) - 1/16*b*n*x^4*e + 1/4*b*x^4*e*log(c) + 1/3*b*d*n*x^3*log(x) - 1/9*b*d*n*x^3 + 1/4*a*x^4*e + 1/3*b*d*x^3*log(c) + 1/3*a*d*x^3","A",0
3,1,73,0,0.307220," ","integrate(x*(e*x+d)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{3} \, b n x^{3} e \log\left(x\right) - \frac{1}{9} \, b n x^{3} e + \frac{1}{3} \, b x^{3} e \log\left(c\right) + \frac{1}{2} \, b d n x^{2} \log\left(x\right) - \frac{1}{4} \, b d n x^{2} + \frac{1}{3} \, a x^{3} e + \frac{1}{2} \, b d x^{2} \log\left(c\right) + \frac{1}{2} \, a d x^{2}"," ",0,"1/3*b*n*x^3*e*log(x) - 1/9*b*n*x^3*e + 1/3*b*x^3*e*log(c) + 1/2*b*d*n*x^2*log(x) - 1/4*b*d*n*x^2 + 1/3*a*x^3*e + 1/2*b*d*x^2*log(c) + 1/2*a*d*x^2","A",0
4,1,62,0,0.273057," ","integrate((e*x+d)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{2} \, b n x^{2} e \log\left(x\right) - \frac{1}{4} \, b n x^{2} e + \frac{1}{2} \, b x^{2} e \log\left(c\right) + b d n x \log\left(x\right) - b d n x + \frac{1}{2} \, a x^{2} e + b d x \log\left(c\right) + a d x"," ",0,"1/2*b*n*x^2*e*log(x) - 1/4*b*n*x^2*e + 1/2*b*x^2*e*log(c) + b*d*n*x*log(x) - b*d*n*x + 1/2*a*x^2*e + b*d*x*log(c) + a*d*x","A",0
5,1,49,0,0.233545," ","integrate((e*x+d)*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","b n x e \log\left(x\right) + \frac{1}{2} \, b d n \log\left(x\right)^{2} - b n x e + b x e \log\left(c\right) + b d \log\left(c\right) \log\left(x\right) + a x e + a d \log\left(x\right)"," ",0,"b*n*x*e*log(x) + 1/2*b*d*n*log(x)^2 - b*n*x*e + b*x*e*log(c) + b*d*log(c)*log(x) + a*x*e + a*d*log(x)","A",0
6,1,56,0,0.333521," ","integrate((e*x+d)*(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\frac{b n x e \log\left(x\right)^{2} + 2 \, b x e \log\left(c\right) \log\left(x\right) - 2 \, b d n \log\left(x\right) + 2 \, a x e \log\left(x\right) - 2 \, b d n - 2 \, b d \log\left(c\right) - 2 \, a d}{2 \, x}"," ",0,"1/2*(b*n*x*e*log(x)^2 + 2*b*x*e*log(c)*log(x) - 2*b*d*n*log(x) + 2*a*x*e*log(x) - 2*b*d*n - 2*b*d*log(c) - 2*a*d)/x","A",0
7,1,57,0,0.318657," ","integrate((e*x+d)*(a+b*log(c*x^n))/x^3,x, algorithm=""giac"")","-\frac{4 \, b n x e \log\left(x\right) + 4 \, b n x e + 4 \, b x e \log\left(c\right) + 2 \, b d n \log\left(x\right) + b d n + 4 \, a x e + 2 \, b d \log\left(c\right) + 2 \, a d}{4 \, x^{2}}"," ",0,"-1/4*(4*b*n*x*e*log(x) + 4*b*n*x*e + 4*b*x*e*log(c) + 2*b*d*n*log(x) + b*d*n + 4*a*x*e + 2*b*d*log(c) + 2*a*d)/x^2","A",0
8,1,58,0,0.260286," ","integrate((e*x+d)*(a+b*log(c*x^n))/x^4,x, algorithm=""giac"")","-\frac{18 \, b n x e \log\left(x\right) + 9 \, b n x e + 18 \, b x e \log\left(c\right) + 12 \, b d n \log\left(x\right) + 4 \, b d n + 18 \, a x e + 12 \, b d \log\left(c\right) + 12 \, a d}{36 \, x^{3}}"," ",0,"-1/36*(18*b*n*x*e*log(x) + 9*b*n*x*e + 18*b*x*e*log(c) + 12*b*d*n*log(x) + 4*b*d*n + 18*a*x*e + 12*b*d*log(c) + 12*a*d)/x^3","A",0
9,1,123,0,0.389002," ","integrate(x^3*(e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{6} \, b n x^{6} e^{2} \log\left(x\right) + \frac{2}{5} \, b d n x^{5} e \log\left(x\right) - \frac{1}{36} \, b n x^{6} e^{2} - \frac{2}{25} \, b d n x^{5} e + \frac{1}{6} \, b x^{6} e^{2} \log\left(c\right) + \frac{2}{5} \, b d x^{5} e \log\left(c\right) + \frac{1}{4} \, b d^{2} n x^{4} \log\left(x\right) - \frac{1}{16} \, b d^{2} n x^{4} + \frac{1}{6} \, a x^{6} e^{2} + \frac{2}{5} \, a d x^{5} e + \frac{1}{4} \, b d^{2} x^{4} \log\left(c\right) + \frac{1}{4} \, a d^{2} x^{4}"," ",0,"1/6*b*n*x^6*e^2*log(x) + 2/5*b*d*n*x^5*e*log(x) - 1/36*b*n*x^6*e^2 - 2/25*b*d*n*x^5*e + 1/6*b*x^6*e^2*log(c) + 2/5*b*d*x^5*e*log(c) + 1/4*b*d^2*n*x^4*log(x) - 1/16*b*d^2*n*x^4 + 1/6*a*x^6*e^2 + 2/5*a*d*x^5*e + 1/4*b*d^2*x^4*log(c) + 1/4*a*d^2*x^4","A",0
10,1,123,0,0.262280," ","integrate(x^2*(e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{5} \, b n x^{5} e^{2} \log\left(x\right) + \frac{1}{2} \, b d n x^{4} e \log\left(x\right) - \frac{1}{25} \, b n x^{5} e^{2} - \frac{1}{8} \, b d n x^{4} e + \frac{1}{5} \, b x^{5} e^{2} \log\left(c\right) + \frac{1}{2} \, b d x^{4} e \log\left(c\right) + \frac{1}{3} \, b d^{2} n x^{3} \log\left(x\right) - \frac{1}{9} \, b d^{2} n x^{3} + \frac{1}{5} \, a x^{5} e^{2} + \frac{1}{2} \, a d x^{4} e + \frac{1}{3} \, b d^{2} x^{3} \log\left(c\right) + \frac{1}{3} \, a d^{2} x^{3}"," ",0,"1/5*b*n*x^5*e^2*log(x) + 1/2*b*d*n*x^4*e*log(x) - 1/25*b*n*x^5*e^2 - 1/8*b*d*n*x^4*e + 1/5*b*x^5*e^2*log(c) + 1/2*b*d*x^4*e*log(c) + 1/3*b*d^2*n*x^3*log(x) - 1/9*b*d^2*n*x^3 + 1/5*a*x^5*e^2 + 1/2*a*d*x^4*e + 1/3*b*d^2*x^3*log(c) + 1/3*a*d^2*x^3","A",0
11,1,123,0,0.286215," ","integrate(x*(e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{4} \, b n x^{4} e^{2} \log\left(x\right) + \frac{2}{3} \, b d n x^{3} e \log\left(x\right) - \frac{1}{16} \, b n x^{4} e^{2} - \frac{2}{9} \, b d n x^{3} e + \frac{1}{4} \, b x^{4} e^{2} \log\left(c\right) + \frac{2}{3} \, b d x^{3} e \log\left(c\right) + \frac{1}{2} \, b d^{2} n x^{2} \log\left(x\right) - \frac{1}{4} \, b d^{2} n x^{2} + \frac{1}{4} \, a x^{4} e^{2} + \frac{2}{3} \, a d x^{3} e + \frac{1}{2} \, b d^{2} x^{2} \log\left(c\right) + \frac{1}{2} \, a d^{2} x^{2}"," ",0,"1/4*b*n*x^4*e^2*log(x) + 2/3*b*d*n*x^3*e*log(x) - 1/16*b*n*x^4*e^2 - 2/9*b*d*n*x^3*e + 1/4*b*x^4*e^2*log(c) + 2/3*b*d*x^3*e*log(c) + 1/2*b*d^2*n*x^2*log(x) - 1/4*b*d^2*n*x^2 + 1/4*a*x^4*e^2 + 2/3*a*d*x^3*e + 1/2*b*d^2*x^2*log(c) + 1/2*a*d^2*x^2","A",0
12,1,109,0,0.232796," ","integrate((e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{3} \, b n x^{3} e^{2} \log\left(x\right) + b d n x^{2} e \log\left(x\right) - \frac{1}{9} \, b n x^{3} e^{2} - \frac{1}{2} \, b d n x^{2} e + \frac{1}{3} \, b x^{3} e^{2} \log\left(c\right) + b d x^{2} e \log\left(c\right) + b d^{2} n x \log\left(x\right) - b d^{2} n x + \frac{1}{3} \, a x^{3} e^{2} + a d x^{2} e + b d^{2} x \log\left(c\right) + a d^{2} x"," ",0,"1/3*b*n*x^3*e^2*log(x) + b*d*n*x^2*e*log(x) - 1/9*b*n*x^3*e^2 - 1/2*b*d*n*x^2*e + 1/3*b*x^3*e^2*log(c) + b*d*x^2*e*log(c) + b*d^2*n*x*log(x) - b*d^2*n*x + 1/3*a*x^3*e^2 + a*d*x^2*e + b*d^2*x*log(c) + a*d^2*x","A",0
13,1,100,0,0.278945," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{1}{2} \, b n x^{2} e^{2} \log\left(x\right) + 2 \, b d n x e \log\left(x\right) + \frac{1}{2} \, b d^{2} n \log\left(x\right)^{2} - \frac{1}{4} \, b n x^{2} e^{2} - 2 \, b d n x e + \frac{1}{2} \, b x^{2} e^{2} \log\left(c\right) + 2 \, b d x e \log\left(c\right) + b d^{2} \log\left(c\right) \log\left(x\right) + \frac{1}{2} \, a x^{2} e^{2} + 2 \, a d x e + a d^{2} \log\left(x\right)"," ",0,"1/2*b*n*x^2*e^2*log(x) + 2*b*d*n*x*e*log(x) + 1/2*b*d^2*n*log(x)^2 - 1/4*b*n*x^2*e^2 - 2*b*d*n*x*e + 1/2*b*x^2*e^2*log(c) + 2*b*d*x*e*log(c) + b*d^2*log(c)*log(x) + 1/2*a*x^2*e^2 + 2*a*d*x*e + a*d^2*log(x)","A",0
14,1,101,0,0.298468," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\frac{b d n x e \log\left(x\right)^{2} + b n x^{2} e^{2} \log\left(x\right) + 2 \, b d x e \log\left(c\right) \log\left(x\right) - b n x^{2} e^{2} + b x^{2} e^{2} \log\left(c\right) - b d^{2} n \log\left(x\right) + 2 \, a d x e \log\left(x\right) - b d^{2} n + a x^{2} e^{2} - b d^{2} \log\left(c\right) - a d^{2}}{x}"," ",0,"(b*d*n*x*e*log(x)^2 + b*n*x^2*e^2*log(x) + 2*b*d*x*e*log(c)*log(x) - b*n*x^2*e^2 + b*x^2*e^2*log(c) - b*d^2*n*log(x) + 2*a*d*x*e*log(x) - b*d^2*n + a*x^2*e^2 - b*d^2*log(c) - a*d^2)/x","A",0
15,1,105,0,0.287328," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^3,x, algorithm=""giac"")","\frac{2 \, b n x^{2} e^{2} \log\left(x\right)^{2} - 8 \, b d n x e \log\left(x\right) + 4 \, b x^{2} e^{2} \log\left(c\right) \log\left(x\right) - 8 \, b d n x e - 8 \, b d x e \log\left(c\right) - 2 \, b d^{2} n \log\left(x\right) + 4 \, a x^{2} e^{2} \log\left(x\right) - b d^{2} n - 8 \, a d x e - 2 \, b d^{2} \log\left(c\right) - 2 \, a d^{2}}{4 \, x^{2}}"," ",0,"1/4*(2*b*n*x^2*e^2*log(x)^2 - 8*b*d*n*x*e*log(x) + 4*b*x^2*e^2*log(c)*log(x) - 8*b*d*n*x*e - 8*b*d*x*e*log(c) - 2*b*d^2*n*log(x) + 4*a*x^2*e^2*log(x) - b*d^2*n - 8*a*d*x*e - 2*b*d^2*log(c) - 2*a*d^2)/x^2","A",0
16,1,108,0,0.288114," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^4,x, algorithm=""giac"")","-\frac{18 \, b n x^{2} e^{2} \log\left(x\right) + 18 \, b d n x e \log\left(x\right) + 18 \, b n x^{2} e^{2} + 9 \, b d n x e + 18 \, b x^{2} e^{2} \log\left(c\right) + 18 \, b d x e \log\left(c\right) + 6 \, b d^{2} n \log\left(x\right) + 2 \, b d^{2} n + 18 \, a x^{2} e^{2} + 18 \, a d x e + 6 \, b d^{2} \log\left(c\right) + 6 \, a d^{2}}{18 \, x^{3}}"," ",0,"-1/18*(18*b*n*x^2*e^2*log(x) + 18*b*d*n*x*e*log(x) + 18*b*n*x^2*e^2 + 9*b*d*n*x*e + 18*b*x^2*e^2*log(c) + 18*b*d*x*e*log(c) + 6*b*d^2*n*log(x) + 2*b*d^2*n + 18*a*x^2*e^2 + 18*a*d*x*e + 6*b*d^2*log(c) + 6*a*d^2)/x^3","A",0
17,1,108,0,0.323189," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^5,x, algorithm=""giac"")","-\frac{72 \, b n x^{2} e^{2} \log\left(x\right) + 96 \, b d n x e \log\left(x\right) + 36 \, b n x^{2} e^{2} + 32 \, b d n x e + 72 \, b x^{2} e^{2} \log\left(c\right) + 96 \, b d x e \log\left(c\right) + 36 \, b d^{2} n \log\left(x\right) + 9 \, b d^{2} n + 72 \, a x^{2} e^{2} + 96 \, a d x e + 36 \, b d^{2} \log\left(c\right) + 36 \, a d^{2}}{144 \, x^{4}}"," ",0,"-1/144*(72*b*n*x^2*e^2*log(x) + 96*b*d*n*x*e*log(x) + 36*b*n*x^2*e^2 + 32*b*d*n*x*e + 72*b*x^2*e^2*log(c) + 96*b*d*x*e*log(c) + 36*b*d^2*n*log(x) + 9*b*d^2*n + 72*a*x^2*e^2 + 96*a*d*x*e + 36*b*d^2*log(c) + 36*a*d^2)/x^4","A",0
18,1,108,0,0.282736," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^6,x, algorithm=""giac"")","-\frac{600 \, b n x^{2} e^{2} \log\left(x\right) + 900 \, b d n x e \log\left(x\right) + 200 \, b n x^{2} e^{2} + 225 \, b d n x e + 600 \, b x^{2} e^{2} \log\left(c\right) + 900 \, b d x e \log\left(c\right) + 360 \, b d^{2} n \log\left(x\right) + 72 \, b d^{2} n + 600 \, a x^{2} e^{2} + 900 \, a d x e + 360 \, b d^{2} \log\left(c\right) + 360 \, a d^{2}}{1800 \, x^{5}}"," ",0,"-1/1800*(600*b*n*x^2*e^2*log(x) + 900*b*d*n*x*e*log(x) + 200*b*n*x^2*e^2 + 225*b*d*n*x*e + 600*b*x^2*e^2*log(c) + 900*b*d*x*e*log(c) + 360*b*d^2*n*log(x) + 72*b*d^2*n + 600*a*x^2*e^2 + 900*a*d*x*e + 360*b*d^2*log(c) + 360*a*d^2)/x^5","A",0
19,1,173,0,0.251105," ","integrate(x^3*(e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{7} \, b n x^{7} e^{3} \log\left(x\right) + \frac{1}{2} \, b d n x^{6} e^{2} \log\left(x\right) + \frac{3}{5} \, b d^{2} n x^{5} e \log\left(x\right) - \frac{1}{49} \, b n x^{7} e^{3} - \frac{1}{12} \, b d n x^{6} e^{2} - \frac{3}{25} \, b d^{2} n x^{5} e + \frac{1}{7} \, b x^{7} e^{3} \log\left(c\right) + \frac{1}{2} \, b d x^{6} e^{2} \log\left(c\right) + \frac{3}{5} \, b d^{2} x^{5} e \log\left(c\right) + \frac{1}{4} \, b d^{3} n x^{4} \log\left(x\right) - \frac{1}{16} \, b d^{3} n x^{4} + \frac{1}{7} \, a x^{7} e^{3} + \frac{1}{2} \, a d x^{6} e^{2} + \frac{3}{5} \, a d^{2} x^{5} e + \frac{1}{4} \, b d^{3} x^{4} \log\left(c\right) + \frac{1}{4} \, a d^{3} x^{4}"," ",0,"1/7*b*n*x^7*e^3*log(x) + 1/2*b*d*n*x^6*e^2*log(x) + 3/5*b*d^2*n*x^5*e*log(x) - 1/49*b*n*x^7*e^3 - 1/12*b*d*n*x^6*e^2 - 3/25*b*d^2*n*x^5*e + 1/7*b*x^7*e^3*log(c) + 1/2*b*d*x^6*e^2*log(c) + 3/5*b*d^2*x^5*e*log(c) + 1/4*b*d^3*n*x^4*log(x) - 1/16*b*d^3*n*x^4 + 1/7*a*x^7*e^3 + 1/2*a*d*x^6*e^2 + 3/5*a*d^2*x^5*e + 1/4*b*d^3*x^4*log(c) + 1/4*a*d^3*x^4","A",0
20,1,173,0,0.286927," ","integrate(x^2*(e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{6} \, b n x^{6} e^{3} \log\left(x\right) + \frac{3}{5} \, b d n x^{5} e^{2} \log\left(x\right) + \frac{3}{4} \, b d^{2} n x^{4} e \log\left(x\right) - \frac{1}{36} \, b n x^{6} e^{3} - \frac{3}{25} \, b d n x^{5} e^{2} - \frac{3}{16} \, b d^{2} n x^{4} e + \frac{1}{6} \, b x^{6} e^{3} \log\left(c\right) + \frac{3}{5} \, b d x^{5} e^{2} \log\left(c\right) + \frac{3}{4} \, b d^{2} x^{4} e \log\left(c\right) + \frac{1}{3} \, b d^{3} n x^{3} \log\left(x\right) - \frac{1}{9} \, b d^{3} n x^{3} + \frac{1}{6} \, a x^{6} e^{3} + \frac{3}{5} \, a d x^{5} e^{2} + \frac{3}{4} \, a d^{2} x^{4} e + \frac{1}{3} \, b d^{3} x^{3} \log\left(c\right) + \frac{1}{3} \, a d^{3} x^{3}"," ",0,"1/6*b*n*x^6*e^3*log(x) + 3/5*b*d*n*x^5*e^2*log(x) + 3/4*b*d^2*n*x^4*e*log(x) - 1/36*b*n*x^6*e^3 - 3/25*b*d*n*x^5*e^2 - 3/16*b*d^2*n*x^4*e + 1/6*b*x^6*e^3*log(c) + 3/5*b*d*x^5*e^2*log(c) + 3/4*b*d^2*x^4*e*log(c) + 1/3*b*d^3*n*x^3*log(x) - 1/9*b*d^3*n*x^3 + 1/6*a*x^6*e^3 + 3/5*a*d*x^5*e^2 + 3/4*a*d^2*x^4*e + 1/3*b*d^3*x^3*log(c) + 1/3*a*d^3*x^3","A",0
21,1,170,0,0.394549," ","integrate(x*(e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{5} \, b n x^{5} e^{3} \log\left(x\right) + \frac{3}{4} \, b d n x^{4} e^{2} \log\left(x\right) + b d^{2} n x^{3} e \log\left(x\right) - \frac{1}{25} \, b n x^{5} e^{3} - \frac{3}{16} \, b d n x^{4} e^{2} - \frac{1}{3} \, b d^{2} n x^{3} e + \frac{1}{5} \, b x^{5} e^{3} \log\left(c\right) + \frac{3}{4} \, b d x^{4} e^{2} \log\left(c\right) + b d^{2} x^{3} e \log\left(c\right) + \frac{1}{2} \, b d^{3} n x^{2} \log\left(x\right) - \frac{1}{4} \, b d^{3} n x^{2} + \frac{1}{5} \, a x^{5} e^{3} + \frac{3}{4} \, a d x^{4} e^{2} + a d^{2} x^{3} e + \frac{1}{2} \, b d^{3} x^{2} \log\left(c\right) + \frac{1}{2} \, a d^{3} x^{2}"," ",0,"1/5*b*n*x^5*e^3*log(x) + 3/4*b*d*n*x^4*e^2*log(x) + b*d^2*n*x^3*e*log(x) - 1/25*b*n*x^5*e^3 - 3/16*b*d*n*x^4*e^2 - 1/3*b*d^2*n*x^3*e + 1/5*b*x^5*e^3*log(c) + 3/4*b*d*x^4*e^2*log(c) + b*d^2*x^3*e*log(c) + 1/2*b*d^3*n*x^2*log(x) - 1/4*b*d^3*n*x^2 + 1/5*a*x^5*e^3 + 3/4*a*d*x^4*e^2 + a*d^2*x^3*e + 1/2*b*d^3*x^2*log(c) + 1/2*a*d^3*x^2","A",0
22,1,159,0,0.316705," ","integrate((e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{4} \, b n x^{4} e^{3} \log\left(x\right) + b d n x^{3} e^{2} \log\left(x\right) + \frac{3}{2} \, b d^{2} n x^{2} e \log\left(x\right) - \frac{1}{16} \, b n x^{4} e^{3} - \frac{1}{3} \, b d n x^{3} e^{2} - \frac{3}{4} \, b d^{2} n x^{2} e + \frac{1}{4} \, b x^{4} e^{3} \log\left(c\right) + b d x^{3} e^{2} \log\left(c\right) + \frac{3}{2} \, b d^{2} x^{2} e \log\left(c\right) + b d^{3} n x \log\left(x\right) - b d^{3} n x + \frac{1}{4} \, a x^{4} e^{3} + a d x^{3} e^{2} + \frac{3}{2} \, a d^{2} x^{2} e + b d^{3} x \log\left(c\right) + a d^{3} x"," ",0,"1/4*b*n*x^4*e^3*log(x) + b*d*n*x^3*e^2*log(x) + 3/2*b*d^2*n*x^2*e*log(x) - 1/16*b*n*x^4*e^3 - 1/3*b*d*n*x^3*e^2 - 3/4*b*d^2*n*x^2*e + 1/4*b*x^4*e^3*log(c) + b*d*x^3*e^2*log(c) + 3/2*b*d^2*x^2*e*log(c) + b*d^3*n*x*log(x) - b*d^3*n*x + 1/4*a*x^4*e^3 + a*d*x^3*e^2 + 3/2*a*d^2*x^2*e + b*d^3*x*log(c) + a*d^3*x","B",0
23,1,150,0,0.295237," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{1}{3} \, b n x^{3} e^{3} \log\left(x\right) + \frac{3}{2} \, b d n x^{2} e^{2} \log\left(x\right) + 3 \, b d^{2} n x e \log\left(x\right) + \frac{1}{2} \, b d^{3} n \log\left(x\right)^{2} - \frac{1}{9} \, b n x^{3} e^{3} - \frac{3}{4} \, b d n x^{2} e^{2} - 3 \, b d^{2} n x e + \frac{1}{3} \, b x^{3} e^{3} \log\left(c\right) + \frac{3}{2} \, b d x^{2} e^{2} \log\left(c\right) + 3 \, b d^{2} x e \log\left(c\right) + b d^{3} \log\left(c\right) \log\left(x\right) + \frac{1}{3} \, a x^{3} e^{3} + \frac{3}{2} \, a d x^{2} e^{2} + 3 \, a d^{2} x e + a d^{3} \log\left(x\right)"," ",0,"1/3*b*n*x^3*e^3*log(x) + 3/2*b*d*n*x^2*e^2*log(x) + 3*b*d^2*n*x*e*log(x) + 1/2*b*d^3*n*log(x)^2 - 1/9*b*n*x^3*e^3 - 3/4*b*d*n*x^2*e^2 - 3*b*d^2*n*x*e + 1/3*b*x^3*e^3*log(c) + 3/2*b*d*x^2*e^2*log(c) + 3*b*d^2*x*e*log(c) + b*d^3*log(c)*log(x) + 1/3*a*x^3*e^3 + 3/2*a*d*x^2*e^2 + 3*a*d^2*x*e + a*d^3*log(x)","A",0
24,1,154,0,0.299396," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\frac{6 \, b d^{2} n x e \log\left(x\right)^{2} + 2 \, b n x^{3} e^{3} \log\left(x\right) + 12 \, b d n x^{2} e^{2} \log\left(x\right) + 12 \, b d^{2} x e \log\left(c\right) \log\left(x\right) - b n x^{3} e^{3} - 12 \, b d n x^{2} e^{2} + 2 \, b x^{3} e^{3} \log\left(c\right) + 12 \, b d x^{2} e^{2} \log\left(c\right) - 4 \, b d^{3} n \log\left(x\right) + 12 \, a d^{2} x e \log\left(x\right) - 4 \, b d^{3} n + 2 \, a x^{3} e^{3} + 12 \, a d x^{2} e^{2} - 4 \, b d^{3} \log\left(c\right) - 4 \, a d^{3}}{4 \, x}"," ",0,"1/4*(6*b*d^2*n*x*e*log(x)^2 + 2*b*n*x^3*e^3*log(x) + 12*b*d*n*x^2*e^2*log(x) + 12*b*d^2*x*e*log(c)*log(x) - b*n*x^3*e^3 - 12*b*d*n*x^2*e^2 + 2*b*x^3*e^3*log(c) + 12*b*d*x^2*e^2*log(c) - 4*b*d^3*n*log(x) + 12*a*d^2*x*e*log(x) - 4*b*d^3*n + 2*a*x^3*e^3 + 12*a*d*x^2*e^2 - 4*b*d^3*log(c) - 4*a*d^3)/x","A",0
25,1,154,0,0.284853," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^3,x, algorithm=""giac"")","\frac{6 \, b d n x^{2} e^{2} \log\left(x\right)^{2} + 4 \, b n x^{3} e^{3} \log\left(x\right) - 12 \, b d^{2} n x e \log\left(x\right) + 12 \, b d x^{2} e^{2} \log\left(c\right) \log\left(x\right) - 4 \, b n x^{3} e^{3} - 12 \, b d^{2} n x e + 4 \, b x^{3} e^{3} \log\left(c\right) - 12 \, b d^{2} x e \log\left(c\right) - 2 \, b d^{3} n \log\left(x\right) + 12 \, a d x^{2} e^{2} \log\left(x\right) - b d^{3} n + 4 \, a x^{3} e^{3} - 12 \, a d^{2} x e - 2 \, b d^{3} \log\left(c\right) - 2 \, a d^{3}}{4 \, x^{2}}"," ",0,"1/4*(6*b*d*n*x^2*e^2*log(x)^2 + 4*b*n*x^3*e^3*log(x) - 12*b*d^2*n*x*e*log(x) + 12*b*d*x^2*e^2*log(c)*log(x) - 4*b*n*x^3*e^3 - 12*b*d^2*n*x*e + 4*b*x^3*e^3*log(c) - 12*b*d^2*x*e*log(c) - 2*b*d^3*n*log(x) + 12*a*d*x^2*e^2*log(x) - b*d^3*n + 4*a*x^3*e^3 - 12*a*d^2*x*e - 2*b*d^3*log(c) - 2*a*d^3)/x^2","A",0
26,1,155,0,0.289011," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^4,x, algorithm=""giac"")","\frac{18 \, b n x^{3} e^{3} \log\left(x\right)^{2} - 108 \, b d n x^{2} e^{2} \log\left(x\right) - 54 \, b d^{2} n x e \log\left(x\right) + 36 \, b x^{3} e^{3} \log\left(c\right) \log\left(x\right) - 108 \, b d n x^{2} e^{2} - 27 \, b d^{2} n x e - 108 \, b d x^{2} e^{2} \log\left(c\right) - 54 \, b d^{2} x e \log\left(c\right) - 12 \, b d^{3} n \log\left(x\right) + 36 \, a x^{3} e^{3} \log\left(x\right) - 4 \, b d^{3} n - 108 \, a d x^{2} e^{2} - 54 \, a d^{2} x e - 12 \, b d^{3} \log\left(c\right) - 12 \, a d^{3}}{36 \, x^{3}}"," ",0,"1/36*(18*b*n*x^3*e^3*log(x)^2 - 108*b*d*n*x^2*e^2*log(x) - 54*b*d^2*n*x*e*log(x) + 36*b*x^3*e^3*log(c)*log(x) - 108*b*d*n*x^2*e^2 - 27*b*d^2*n*x*e - 108*b*d*x^2*e^2*log(c) - 54*b*d^2*x*e*log(c) - 12*b*d^3*n*log(x) + 36*a*x^3*e^3*log(x) - 4*b*d^3*n - 108*a*d*x^2*e^2 - 54*a*d^2*x*e - 12*b*d^3*log(c) - 12*a*d^3)/x^3","A",0
27,1,158,0,0.322089," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^5,x, algorithm=""giac"")","-\frac{48 \, b n x^{3} e^{3} \log\left(x\right) + 72 \, b d n x^{2} e^{2} \log\left(x\right) + 48 \, b d^{2} n x e \log\left(x\right) + 48 \, b n x^{3} e^{3} + 36 \, b d n x^{2} e^{2} + 16 \, b d^{2} n x e + 48 \, b x^{3} e^{3} \log\left(c\right) + 72 \, b d x^{2} e^{2} \log\left(c\right) + 48 \, b d^{2} x e \log\left(c\right) + 12 \, b d^{3} n \log\left(x\right) + 3 \, b d^{3} n + 48 \, a x^{3} e^{3} + 72 \, a d x^{2} e^{2} + 48 \, a d^{2} x e + 12 \, b d^{3} \log\left(c\right) + 12 \, a d^{3}}{48 \, x^{4}}"," ",0,"-1/48*(48*b*n*x^3*e^3*log(x) + 72*b*d*n*x^2*e^2*log(x) + 48*b*d^2*n*x*e*log(x) + 48*b*n*x^3*e^3 + 36*b*d*n*x^2*e^2 + 16*b*d^2*n*x*e + 48*b*x^3*e^3*log(c) + 72*b*d*x^2*e^2*log(c) + 48*b*d^2*x*e*log(c) + 12*b*d^3*n*log(x) + 3*b*d^3*n + 48*a*x^3*e^3 + 72*a*d*x^2*e^2 + 48*a*d^2*x*e + 12*b*d^3*log(c) + 12*a*d^3)/x^4","A",0
28,1,158,0,0.364246," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^6,x, algorithm=""giac"")","-\frac{600 \, b n x^{3} e^{3} \log\left(x\right) + 1200 \, b d n x^{2} e^{2} \log\left(x\right) + 900 \, b d^{2} n x e \log\left(x\right) + 300 \, b n x^{3} e^{3} + 400 \, b d n x^{2} e^{2} + 225 \, b d^{2} n x e + 600 \, b x^{3} e^{3} \log\left(c\right) + 1200 \, b d x^{2} e^{2} \log\left(c\right) + 900 \, b d^{2} x e \log\left(c\right) + 240 \, b d^{3} n \log\left(x\right) + 48 \, b d^{3} n + 600 \, a x^{3} e^{3} + 1200 \, a d x^{2} e^{2} + 900 \, a d^{2} x e + 240 \, b d^{3} \log\left(c\right) + 240 \, a d^{3}}{1200 \, x^{5}}"," ",0,"-1/1200*(600*b*n*x^3*e^3*log(x) + 1200*b*d*n*x^2*e^2*log(x) + 900*b*d^2*n*x*e*log(x) + 300*b*n*x^3*e^3 + 400*b*d*n*x^2*e^2 + 225*b*d^2*n*x*e + 600*b*x^3*e^3*log(c) + 1200*b*d*x^2*e^2*log(c) + 900*b*d^2*x*e*log(c) + 240*b*d^3*n*log(x) + 48*b*d^3*n + 600*a*x^3*e^3 + 1200*a*d*x^2*e^2 + 900*a*d^2*x*e + 240*b*d^3*log(c) + 240*a*d^3)/x^5","A",0
29,1,158,0,0.308976," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^7,x, algorithm=""giac"")","-\frac{1200 \, b n x^{3} e^{3} \log\left(x\right) + 2700 \, b d n x^{2} e^{2} \log\left(x\right) + 2160 \, b d^{2} n x e \log\left(x\right) + 400 \, b n x^{3} e^{3} + 675 \, b d n x^{2} e^{2} + 432 \, b d^{2} n x e + 1200 \, b x^{3} e^{3} \log\left(c\right) + 2700 \, b d x^{2} e^{2} \log\left(c\right) + 2160 \, b d^{2} x e \log\left(c\right) + 600 \, b d^{3} n \log\left(x\right) + 100 \, b d^{3} n + 1200 \, a x^{3} e^{3} + 2700 \, a d x^{2} e^{2} + 2160 \, a d^{2} x e + 600 \, b d^{3} \log\left(c\right) + 600 \, a d^{3}}{3600 \, x^{6}}"," ",0,"-1/3600*(1200*b*n*x^3*e^3*log(x) + 2700*b*d*n*x^2*e^2*log(x) + 2160*b*d^2*n*x*e*log(x) + 400*b*n*x^3*e^3 + 675*b*d*n*x^2*e^2 + 432*b*d^2*n*x*e + 1200*b*x^3*e^3*log(c) + 2700*b*d*x^2*e^2*log(c) + 2160*b*d^2*x*e*log(c) + 600*b*d^3*n*log(x) + 100*b*d^3*n + 1200*a*x^3*e^3 + 2700*a*d*x^2*e^2 + 2160*a*d^2*x*e + 600*b*d^3*log(c) + 600*a*d^3)/x^6","A",0
30,1,158,0,0.459096," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^8,x, algorithm=""giac"")","-\frac{14700 \, b n x^{3} e^{3} \log\left(x\right) + 35280 \, b d n x^{2} e^{2} \log\left(x\right) + 29400 \, b d^{2} n x e \log\left(x\right) + 3675 \, b n x^{3} e^{3} + 7056 \, b d n x^{2} e^{2} + 4900 \, b d^{2} n x e + 14700 \, b x^{3} e^{3} \log\left(c\right) + 35280 \, b d x^{2} e^{2} \log\left(c\right) + 29400 \, b d^{2} x e \log\left(c\right) + 8400 \, b d^{3} n \log\left(x\right) + 1200 \, b d^{3} n + 14700 \, a x^{3} e^{3} + 35280 \, a d x^{2} e^{2} + 29400 \, a d^{2} x e + 8400 \, b d^{3} \log\left(c\right) + 8400 \, a d^{3}}{58800 \, x^{7}}"," ",0,"-1/58800*(14700*b*n*x^3*e^3*log(x) + 35280*b*d*n*x^2*e^2*log(x) + 29400*b*d^2*n*x*e*log(x) + 3675*b*n*x^3*e^3 + 7056*b*d*n*x^2*e^2 + 4900*b*d^2*n*x*e + 14700*b*x^3*e^3*log(c) + 35280*b*d*x^2*e^2*log(c) + 29400*b*d^2*x*e*log(c) + 8400*b*d^3*n*log(x) + 1200*b*d^3*n + 14700*a*x^3*e^3 + 35280*a*d*x^2*e^2 + 29400*a*d^2*x*e + 8400*b*d^3*log(c) + 8400*a*d^3)/x^7","A",0
31,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{e x + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(e*x + d), x)","F",0
32,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{e x + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*x + d), x)","F",0
33,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x}{e x + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x/(e*x + d), x)","F",0
34,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x+d),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{e x + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(e*x + d), x)","F",0
35,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)*x), x)","F",0
36,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)*x^2), x)","F",0
37,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)*x^3), x)","F",0
38,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x+d),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)} x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)*x^4), x)","F",0
39,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(e*x + d)^2, x)","F",0
40,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*x + d)^2, x)","F",0
41,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x/(e*x + d)^2, x)","F",0
42,1,58,0,0.293077," ","integrate((a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""giac"")","-\frac{b n x e \log\left(x e + d\right) - b n x e \log\left(x\right) + b d n \log\left(x e + d\right) + b d \log\left(c\right) + a d}{d x e^{2} + d^{2} e}"," ",0,"-(b*n*x*e*log(x*e + d) - b*n*x*e*log(x) + b*d*n*log(x*e + d) + b*d*log(c) + a*d)/(d*x*e^2 + d^2*e)","A",0
43,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{2} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^2*x), x)","F",0
44,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^2*x^2), x)","F",0
45,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^2*x^3), x)","F",0
46,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(e*x + d)^3, x)","F",0
47,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*x + d)^3, x)","F",0
48,1,122,0,0.389512," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""giac"")","-\frac{b n x^{2} e^{2} \log\left(x e + d\right) + 2 \, b d n x e \log\left(x e + d\right) - b n x^{2} e^{2} \log\left(x\right) + b d n x e + b d^{2} n \log\left(x e + d\right) + 2 \, b d x e \log\left(c\right) + b d^{2} n + 2 \, a d x e + b d^{2} \log\left(c\right) + a d^{2}}{2 \, {\left(d x^{2} e^{4} + 2 \, d^{2} x e^{3} + d^{3} e^{2}\right)}}"," ",0,"-1/2*(b*n*x^2*e^2*log(x*e + d) + 2*b*d*n*x*e*log(x*e + d) - b*n*x^2*e^2*log(x) + b*d*n*x*e + b*d^2*n*log(x*e + d) + 2*b*d*x*e*log(c) + b*d^2*n + 2*a*d*x*e + b*d^2*log(c) + a*d^2)/(d*x^2*e^4 + 2*d^2*x*e^3 + d^3*e^2)","B",0
49,1,120,0,0.304461," ","integrate((a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""giac"")","-\frac{b n x^{2} e^{2} \log\left(x e + d\right) + 2 \, b d n x e \log\left(x e + d\right) - b n x^{2} e^{2} \log\left(x\right) - 2 \, b d n x e \log\left(x\right) - b d n x e + b d^{2} n \log\left(x e + d\right) - b d^{2} n + b d^{2} \log\left(c\right) + a d^{2}}{2 \, {\left(d^{2} x^{2} e^{3} + 2 \, d^{3} x e^{2} + d^{4} e\right)}}"," ",0,"-1/2*(b*n*x^2*e^2*log(x*e + d) + 2*b*d*n*x*e*log(x*e + d) - b*n*x^2*e^2*log(x) - 2*b*d*n*x*e*log(x) - b*d*n*x*e + b*d^2*n*log(x*e + d) - b*d^2*n + b*d^2*log(c) + a*d^2)/(d^2*x^2*e^3 + 2*d^3*x*e^2 + d^4*e)","A",0
50,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{3} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^3*x), x)","F",0
51,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^3*x^2), x)","F",0
52,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{3} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^3*x^3), x)","F",0
53,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{5}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^5/(e*x + d)^4, x)","F",0
54,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{4}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^4/(e*x + d)^4, x)","F",0
55,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(e*x + d)^4, x)","F",0
56,1,193,0,0.296326," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""giac"")","-\frac{2 \, b n x^{3} e^{3} \log\left(x e + d\right) + 6 \, b d n x^{2} e^{2} \log\left(x e + d\right) + 6 \, b d^{2} n x e \log\left(x e + d\right) - 2 \, b n x^{3} e^{3} \log\left(x\right) + 4 \, b d n x^{2} e^{2} + 7 \, b d^{2} n x e + 2 \, b d^{3} n \log\left(x e + d\right) + 6 \, b d x^{2} e^{2} \log\left(c\right) + 6 \, b d^{2} x e \log\left(c\right) + 3 \, b d^{3} n + 6 \, a d x^{2} e^{2} + 6 \, a d^{2} x e + 2 \, b d^{3} \log\left(c\right) + 2 \, a d^{3}}{6 \, {\left(d x^{3} e^{6} + 3 \, d^{2} x^{2} e^{5} + 3 \, d^{3} x e^{4} + d^{4} e^{3}\right)}}"," ",0,"-1/6*(2*b*n*x^3*e^3*log(x*e + d) + 6*b*d*n*x^2*e^2*log(x*e + d) + 6*b*d^2*n*x*e*log(x*e + d) - 2*b*n*x^3*e^3*log(x) + 4*b*d*n*x^2*e^2 + 7*b*d^2*n*x*e + 2*b*d^3*n*log(x*e + d) + 6*b*d*x^2*e^2*log(c) + 6*b*d^2*x*e*log(c) + 3*b*d^3*n + 6*a*d*x^2*e^2 + 6*a*d^2*x*e + 2*b*d^3*log(c) + 2*a*d^3)/(d*x^3*e^6 + 3*d^2*x^2*e^5 + 3*d^3*x*e^4 + d^4*e^3)","B",0
57,1,176,0,0.291613," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""giac"")","-\frac{b n x^{3} e^{3} \log\left(x e + d\right) + 3 \, b d n x^{2} e^{2} \log\left(x e + d\right) + 3 \, b d^{2} n x e \log\left(x e + d\right) - b n x^{3} e^{3} \log\left(x\right) - 3 \, b d n x^{2} e^{2} \log\left(x\right) - b d n x^{2} e^{2} - b d^{2} n x e + b d^{3} n \log\left(x e + d\right) + 3 \, b d^{2} x e \log\left(c\right) + 3 \, a d^{2} x e + b d^{3} \log\left(c\right) + a d^{3}}{6 \, {\left(d^{2} x^{3} e^{5} + 3 \, d^{3} x^{2} e^{4} + 3 \, d^{4} x e^{3} + d^{5} e^{2}\right)}}"," ",0,"-1/6*(b*n*x^3*e^3*log(x*e + d) + 3*b*d*n*x^2*e^2*log(x*e + d) + 3*b*d^2*n*x*e*log(x*e + d) - b*n*x^3*e^3*log(x) - 3*b*d*n*x^2*e^2*log(x) - b*d*n*x^2*e^2 - b*d^2*n*x*e + b*d^3*n*log(x*e + d) + 3*b*d^2*x*e*log(c) + 3*a*d^2*x*e + b*d^3*log(c) + a*d^3)/(d^2*x^3*e^5 + 3*d^3*x^2*e^4 + 3*d^4*x*e^3 + d^5*e^2)","A",0
58,1,179,0,0.299095," ","integrate((a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""giac"")","-\frac{2 \, b n x^{3} e^{3} \log\left(x e + d\right) + 6 \, b d n x^{2} e^{2} \log\left(x e + d\right) + 6 \, b d^{2} n x e \log\left(x e + d\right) - 2 \, b n x^{3} e^{3} \log\left(x\right) - 6 \, b d n x^{2} e^{2} \log\left(x\right) - 6 \, b d^{2} n x e \log\left(x\right) - 2 \, b d n x^{2} e^{2} - 5 \, b d^{2} n x e + 2 \, b d^{3} n \log\left(x e + d\right) - 3 \, b d^{3} n + 2 \, b d^{3} \log\left(c\right) + 2 \, a d^{3}}{6 \, {\left(d^{3} x^{3} e^{4} + 3 \, d^{4} x^{2} e^{3} + 3 \, d^{5} x e^{2} + d^{6} e\right)}}"," ",0,"-1/6*(2*b*n*x^3*e^3*log(x*e + d) + 6*b*d*n*x^2*e^2*log(x*e + d) + 6*b*d^2*n*x*e*log(x*e + d) - 2*b*n*x^3*e^3*log(x) - 6*b*d*n*x^2*e^2*log(x) - 6*b*d^2*n*x*e*log(x) - 2*b*d*n*x^2*e^2 - 5*b*d^2*n*x*e + 2*b*d^3*n*log(x*e + d) - 3*b*d^3*n + 2*b*d^3*log(c) + 2*a*d^3)/(d^3*x^3*e^4 + 3*d^4*x^2*e^3 + 3*d^5*x*e^2 + d^6*e)","B",0
59,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{4} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^4*x), x)","F",0
60,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{4} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^4*x^2), x)","F",0
61,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{4} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^4*x^3), x)","F",0
62,0,0,0,0.000000," ","integrate(x^8*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{8}}{{\left(e x + d\right)}^{7}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^8/(e*x + d)^7, x)","F",0
63,0,0,0,0.000000," ","integrate(x^7*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{7}}{{\left(e x + d\right)}^{7}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^7/(e*x + d)^7, x)","F",0
64,0,0,0,0.000000," ","integrate(x^6*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{6}}{{\left(e x + d\right)}^{7}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^6/(e*x + d)^7, x)","F",0
65,1,388,0,0.306713," ","integrate(x^5*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""giac"")","-\frac{60 \, b n x^{6} e^{6} \log\left(x e + d\right) + 360 \, b d n x^{5} e^{5} \log\left(x e + d\right) + 900 \, b d^{2} n x^{4} e^{4} \log\left(x e + d\right) + 1200 \, b d^{3} n x^{3} e^{3} \log\left(x e + d\right) + 900 \, b d^{4} n x^{2} e^{2} \log\left(x e + d\right) + 360 \, b d^{5} n x e \log\left(x e + d\right) - 60 \, b n x^{6} e^{6} \log\left(x\right) + 300 \, b d n x^{5} e^{5} + 1200 \, b d^{2} n x^{4} e^{4} + 2000 \, b d^{3} n x^{3} e^{3} + 1725 \, b d^{4} n x^{2} e^{2} + 762 \, b d^{5} n x e + 60 \, b d^{6} n \log\left(x e + d\right) + 360 \, b d x^{5} e^{5} \log\left(c\right) + 900 \, b d^{2} x^{4} e^{4} \log\left(c\right) + 1200 \, b d^{3} x^{3} e^{3} \log\left(c\right) + 900 \, b d^{4} x^{2} e^{2} \log\left(c\right) + 360 \, b d^{5} x e \log\left(c\right) + 137 \, b d^{6} n + 360 \, a d x^{5} e^{5} + 900 \, a d^{2} x^{4} e^{4} + 1200 \, a d^{3} x^{3} e^{3} + 900 \, a d^{4} x^{2} e^{2} + 360 \, a d^{5} x e + 60 \, b d^{6} \log\left(c\right) + 60 \, a d^{6}}{360 \, {\left(d x^{6} e^{12} + 6 \, d^{2} x^{5} e^{11} + 15 \, d^{3} x^{4} e^{10} + 20 \, d^{4} x^{3} e^{9} + 15 \, d^{5} x^{2} e^{8} + 6 \, d^{6} x e^{7} + d^{7} e^{6}\right)}}"," ",0,"-1/360*(60*b*n*x^6*e^6*log(x*e + d) + 360*b*d*n*x^5*e^5*log(x*e + d) + 900*b*d^2*n*x^4*e^4*log(x*e + d) + 1200*b*d^3*n*x^3*e^3*log(x*e + d) + 900*b*d^4*n*x^2*e^2*log(x*e + d) + 360*b*d^5*n*x*e*log(x*e + d) - 60*b*n*x^6*e^6*log(x) + 300*b*d*n*x^5*e^5 + 1200*b*d^2*n*x^4*e^4 + 2000*b*d^3*n*x^3*e^3 + 1725*b*d^4*n*x^2*e^2 + 762*b*d^5*n*x*e + 60*b*d^6*n*log(x*e + d) + 360*b*d*x^5*e^5*log(c) + 900*b*d^2*x^4*e^4*log(c) + 1200*b*d^3*x^3*e^3*log(c) + 900*b*d^4*x^2*e^2*log(c) + 360*b*d^5*x*e*log(c) + 137*b*d^6*n + 360*a*d*x^5*e^5 + 900*a*d^2*x^4*e^4 + 1200*a*d^3*x^3*e^3 + 900*a*d^4*x^2*e^2 + 360*a*d^5*x*e + 60*b*d^6*log(c) + 60*a*d^6)/(d*x^6*e^12 + 6*d^2*x^5*e^11 + 15*d^3*x^4*e^10 + 20*d^4*x^3*e^9 + 15*d^5*x^2*e^8 + 6*d^6*x*e^7 + d^7*e^6)","B",0
66,1,382,0,0.344891," ","integrate(x^4*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""giac"")","-\frac{12 \, b n x^{6} e^{6} \log\left(x e + d\right) + 72 \, b d n x^{5} e^{5} \log\left(x e + d\right) + 180 \, b d^{2} n x^{4} e^{4} \log\left(x e + d\right) + 240 \, b d^{3} n x^{3} e^{3} \log\left(x e + d\right) + 180 \, b d^{4} n x^{2} e^{2} \log\left(x e + d\right) + 72 \, b d^{5} n x e \log\left(x e + d\right) - 12 \, b n x^{6} e^{6} \log\left(x\right) - 72 \, b d n x^{5} e^{5} \log\left(x\right) - 12 \, b d n x^{5} e^{5} + 24 \, b d^{2} n x^{4} e^{4} + 112 \, b d^{3} n x^{3} e^{3} + 129 \, b d^{4} n x^{2} e^{2} + 66 \, b d^{5} n x e + 12 \, b d^{6} n \log\left(x e + d\right) + 180 \, b d^{2} x^{4} e^{4} \log\left(c\right) + 240 \, b d^{3} x^{3} e^{3} \log\left(c\right) + 180 \, b d^{4} x^{2} e^{2} \log\left(c\right) + 72 \, b d^{5} x e \log\left(c\right) + 13 \, b d^{6} n + 180 \, a d^{2} x^{4} e^{4} + 240 \, a d^{3} x^{3} e^{3} + 180 \, a d^{4} x^{2} e^{2} + 72 \, a d^{5} x e + 12 \, b d^{6} \log\left(c\right) + 12 \, a d^{6}}{360 \, {\left(d^{2} x^{6} e^{11} + 6 \, d^{3} x^{5} e^{10} + 15 \, d^{4} x^{4} e^{9} + 20 \, d^{5} x^{3} e^{8} + 15 \, d^{6} x^{2} e^{7} + 6 \, d^{7} x e^{6} + d^{8} e^{5}\right)}}"," ",0,"-1/360*(12*b*n*x^6*e^6*log(x*e + d) + 72*b*d*n*x^5*e^5*log(x*e + d) + 180*b*d^2*n*x^4*e^4*log(x*e + d) + 240*b*d^3*n*x^3*e^3*log(x*e + d) + 180*b*d^4*n*x^2*e^2*log(x*e + d) + 72*b*d^5*n*x*e*log(x*e + d) - 12*b*n*x^6*e^6*log(x) - 72*b*d*n*x^5*e^5*log(x) - 12*b*d*n*x^5*e^5 + 24*b*d^2*n*x^4*e^4 + 112*b*d^3*n*x^3*e^3 + 129*b*d^4*n*x^2*e^2 + 66*b*d^5*n*x*e + 12*b*d^6*n*log(x*e + d) + 180*b*d^2*x^4*e^4*log(c) + 240*b*d^3*x^3*e^3*log(c) + 180*b*d^4*x^2*e^2*log(c) + 72*b*d^5*x*e*log(c) + 13*b*d^6*n + 180*a*d^2*x^4*e^4 + 240*a*d^3*x^3*e^3 + 180*a*d^4*x^2*e^2 + 72*a*d^5*x*e + 12*b*d^6*log(c) + 12*a*d^6)/(d^2*x^6*e^11 + 6*d^3*x^5*e^10 + 15*d^4*x^4*e^9 + 20*d^5*x^3*e^8 + 15*d^6*x^2*e^7 + 6*d^7*x*e^6 + d^8*e^5)","B",0
67,1,372,0,0.360484," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""giac"")","-\frac{6 \, b n x^{6} e^{6} \log\left(x e + d\right) + 36 \, b d n x^{5} e^{5} \log\left(x e + d\right) + 90 \, b d^{2} n x^{4} e^{4} \log\left(x e + d\right) + 120 \, b d^{3} n x^{3} e^{3} \log\left(x e + d\right) + 90 \, b d^{4} n x^{2} e^{2} \log\left(x e + d\right) + 36 \, b d^{5} n x e \log\left(x e + d\right) - 6 \, b n x^{6} e^{6} \log\left(x\right) - 36 \, b d n x^{5} e^{5} \log\left(x\right) - 90 \, b d^{2} n x^{4} e^{4} \log\left(x\right) - 6 \, b d n x^{5} e^{5} - 33 \, b d^{2} n x^{4} e^{4} - 34 \, b d^{3} n x^{3} e^{3} - 3 \, b d^{4} n x^{2} e^{2} + 6 \, b d^{5} n x e + 6 \, b d^{6} n \log\left(x e + d\right) + 120 \, b d^{3} x^{3} e^{3} \log\left(c\right) + 90 \, b d^{4} x^{2} e^{2} \log\left(c\right) + 36 \, b d^{5} x e \log\left(c\right) + 2 \, b d^{6} n + 120 \, a d^{3} x^{3} e^{3} + 90 \, a d^{4} x^{2} e^{2} + 36 \, a d^{5} x e + 6 \, b d^{6} \log\left(c\right) + 6 \, a d^{6}}{360 \, {\left(d^{3} x^{6} e^{10} + 6 \, d^{4} x^{5} e^{9} + 15 \, d^{5} x^{4} e^{8} + 20 \, d^{6} x^{3} e^{7} + 15 \, d^{7} x^{2} e^{6} + 6 \, d^{8} x e^{5} + d^{9} e^{4}\right)}}"," ",0,"-1/360*(6*b*n*x^6*e^6*log(x*e + d) + 36*b*d*n*x^5*e^5*log(x*e + d) + 90*b*d^2*n*x^4*e^4*log(x*e + d) + 120*b*d^3*n*x^3*e^3*log(x*e + d) + 90*b*d^4*n*x^2*e^2*log(x*e + d) + 36*b*d^5*n*x*e*log(x*e + d) - 6*b*n*x^6*e^6*log(x) - 36*b*d*n*x^5*e^5*log(x) - 90*b*d^2*n*x^4*e^4*log(x) - 6*b*d*n*x^5*e^5 - 33*b*d^2*n*x^4*e^4 - 34*b*d^3*n*x^3*e^3 - 3*b*d^4*n*x^2*e^2 + 6*b*d^5*n*x*e + 6*b*d^6*n*log(x*e + d) + 120*b*d^3*x^3*e^3*log(c) + 90*b*d^4*x^2*e^2*log(c) + 36*b*d^5*x*e*log(c) + 2*b*d^6*n + 120*a*d^3*x^3*e^3 + 90*a*d^4*x^2*e^2 + 36*a*d^5*x*e + 6*b*d^6*log(c) + 6*a*d^6)/(d^3*x^6*e^10 + 6*d^4*x^5*e^9 + 15*d^5*x^4*e^8 + 20*d^6*x^3*e^7 + 15*d^7*x^2*e^6 + 6*d^8*x*e^5 + d^9*e^4)","A",0
68,1,362,0,0.338330," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""giac"")","-\frac{6 \, b n x^{6} e^{6} \log\left(x e + d\right) + 36 \, b d n x^{5} e^{5} \log\left(x e + d\right) + 90 \, b d^{2} n x^{4} e^{4} \log\left(x e + d\right) + 120 \, b d^{3} n x^{3} e^{3} \log\left(x e + d\right) + 90 \, b d^{4} n x^{2} e^{2} \log\left(x e + d\right) + 36 \, b d^{5} n x e \log\left(x e + d\right) - 6 \, b n x^{6} e^{6} \log\left(x\right) - 36 \, b d n x^{5} e^{5} \log\left(x\right) - 90 \, b d^{2} n x^{4} e^{4} \log\left(x\right) - 120 \, b d^{3} n x^{3} e^{3} \log\left(x\right) - 6 \, b d n x^{5} e^{5} - 33 \, b d^{2} n x^{4} e^{4} - 74 \, b d^{3} n x^{3} e^{3} - 63 \, b d^{4} n x^{2} e^{2} - 18 \, b d^{5} n x e + 6 \, b d^{6} n \log\left(x e + d\right) + 90 \, b d^{4} x^{2} e^{2} \log\left(c\right) + 36 \, b d^{5} x e \log\left(c\right) - 2 \, b d^{6} n + 90 \, a d^{4} x^{2} e^{2} + 36 \, a d^{5} x e + 6 \, b d^{6} \log\left(c\right) + 6 \, a d^{6}}{360 \, {\left(d^{4} x^{6} e^{9} + 6 \, d^{5} x^{5} e^{8} + 15 \, d^{6} x^{4} e^{7} + 20 \, d^{7} x^{3} e^{6} + 15 \, d^{8} x^{2} e^{5} + 6 \, d^{9} x e^{4} + d^{10} e^{3}\right)}}"," ",0,"-1/360*(6*b*n*x^6*e^6*log(x*e + d) + 36*b*d*n*x^5*e^5*log(x*e + d) + 90*b*d^2*n*x^4*e^4*log(x*e + d) + 120*b*d^3*n*x^3*e^3*log(x*e + d) + 90*b*d^4*n*x^2*e^2*log(x*e + d) + 36*b*d^5*n*x*e*log(x*e + d) - 6*b*n*x^6*e^6*log(x) - 36*b*d*n*x^5*e^5*log(x) - 90*b*d^2*n*x^4*e^4*log(x) - 120*b*d^3*n*x^3*e^3*log(x) - 6*b*d*n*x^5*e^5 - 33*b*d^2*n*x^4*e^4 - 74*b*d^3*n*x^3*e^3 - 63*b*d^4*n*x^2*e^2 - 18*b*d^5*n*x*e + 6*b*d^6*n*log(x*e + d) + 90*b*d^4*x^2*e^2*log(c) + 36*b*d^5*x*e*log(c) - 2*b*d^6*n + 90*a*d^4*x^2*e^2 + 36*a*d^5*x*e + 6*b*d^6*log(c) + 6*a*d^6)/(d^4*x^6*e^9 + 6*d^5*x^5*e^8 + 15*d^6*x^4*e^7 + 20*d^7*x^3*e^6 + 15*d^8*x^2*e^5 + 6*d^9*x*e^4 + d^10*e^3)","B",0
69,1,352,0,0.336971," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""giac"")","-\frac{12 \, b n x^{6} e^{6} \log\left(x e + d\right) + 72 \, b d n x^{5} e^{5} \log\left(x e + d\right) + 180 \, b d^{2} n x^{4} e^{4} \log\left(x e + d\right) + 240 \, b d^{3} n x^{3} e^{3} \log\left(x e + d\right) + 180 \, b d^{4} n x^{2} e^{2} \log\left(x e + d\right) + 72 \, b d^{5} n x e \log\left(x e + d\right) - 12 \, b n x^{6} e^{6} \log\left(x\right) - 72 \, b d n x^{5} e^{5} \log\left(x\right) - 180 \, b d^{2} n x^{4} e^{4} \log\left(x\right) - 240 \, b d^{3} n x^{3} e^{3} \log\left(x\right) - 180 \, b d^{4} n x^{2} e^{2} \log\left(x\right) - 12 \, b d n x^{5} e^{5} - 66 \, b d^{2} n x^{4} e^{4} - 148 \, b d^{3} n x^{3} e^{3} - 171 \, b d^{4} n x^{2} e^{2} - 90 \, b d^{5} n x e + 12 \, b d^{6} n \log\left(x e + d\right) + 72 \, b d^{5} x e \log\left(c\right) - 13 \, b d^{6} n + 72 \, a d^{5} x e + 12 \, b d^{6} \log\left(c\right) + 12 \, a d^{6}}{360 \, {\left(d^{5} x^{6} e^{8} + 6 \, d^{6} x^{5} e^{7} + 15 \, d^{7} x^{4} e^{6} + 20 \, d^{8} x^{3} e^{5} + 15 \, d^{9} x^{2} e^{4} + 6 \, d^{10} x e^{3} + d^{11} e^{2}\right)}}"," ",0,"-1/360*(12*b*n*x^6*e^6*log(x*e + d) + 72*b*d*n*x^5*e^5*log(x*e + d) + 180*b*d^2*n*x^4*e^4*log(x*e + d) + 240*b*d^3*n*x^3*e^3*log(x*e + d) + 180*b*d^4*n*x^2*e^2*log(x*e + d) + 72*b*d^5*n*x*e*log(x*e + d) - 12*b*n*x^6*e^6*log(x) - 72*b*d*n*x^5*e^5*log(x) - 180*b*d^2*n*x^4*e^4*log(x) - 240*b*d^3*n*x^3*e^3*log(x) - 180*b*d^4*n*x^2*e^2*log(x) - 12*b*d*n*x^5*e^5 - 66*b*d^2*n*x^4*e^4 - 148*b*d^3*n*x^3*e^3 - 171*b*d^4*n*x^2*e^2 - 90*b*d^5*n*x*e + 12*b*d^6*n*log(x*e + d) + 72*b*d^5*x*e*log(c) - 13*b*d^6*n + 72*a*d^5*x*e + 12*b*d^6*log(c) + 12*a*d^6)/(d^5*x^6*e^8 + 6*d^6*x^5*e^7 + 15*d^7*x^4*e^6 + 20*d^8*x^3*e^5 + 15*d^9*x^2*e^4 + 6*d^10*x*e^3 + d^11*e^2)","B",0
70,1,344,0,0.305666," ","integrate((a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""giac"")","-\frac{60 \, b n x^{6} e^{6} \log\left(x e + d\right) + 360 \, b d n x^{5} e^{5} \log\left(x e + d\right) + 900 \, b d^{2} n x^{4} e^{4} \log\left(x e + d\right) + 1200 \, b d^{3} n x^{3} e^{3} \log\left(x e + d\right) + 900 \, b d^{4} n x^{2} e^{2} \log\left(x e + d\right) + 360 \, b d^{5} n x e \log\left(x e + d\right) - 60 \, b n x^{6} e^{6} \log\left(x\right) - 360 \, b d n x^{5} e^{5} \log\left(x\right) - 900 \, b d^{2} n x^{4} e^{4} \log\left(x\right) - 1200 \, b d^{3} n x^{3} e^{3} \log\left(x\right) - 900 \, b d^{4} n x^{2} e^{2} \log\left(x\right) - 360 \, b d^{5} n x e \log\left(x\right) - 60 \, b d n x^{5} e^{5} - 330 \, b d^{2} n x^{4} e^{4} - 740 \, b d^{3} n x^{3} e^{3} - 855 \, b d^{4} n x^{2} e^{2} - 522 \, b d^{5} n x e + 60 \, b d^{6} n \log\left(x e + d\right) - 137 \, b d^{6} n + 60 \, b d^{6} \log\left(c\right) + 60 \, a d^{6}}{360 \, {\left(d^{6} x^{6} e^{7} + 6 \, d^{7} x^{5} e^{6} + 15 \, d^{8} x^{4} e^{5} + 20 \, d^{9} x^{3} e^{4} + 15 \, d^{10} x^{2} e^{3} + 6 \, d^{11} x e^{2} + d^{12} e\right)}}"," ",0,"-1/360*(60*b*n*x^6*e^6*log(x*e + d) + 360*b*d*n*x^5*e^5*log(x*e + d) + 900*b*d^2*n*x^4*e^4*log(x*e + d) + 1200*b*d^3*n*x^3*e^3*log(x*e + d) + 900*b*d^4*n*x^2*e^2*log(x*e + d) + 360*b*d^5*n*x*e*log(x*e + d) - 60*b*n*x^6*e^6*log(x) - 360*b*d*n*x^5*e^5*log(x) - 900*b*d^2*n*x^4*e^4*log(x) - 1200*b*d^3*n*x^3*e^3*log(x) - 900*b*d^4*n*x^2*e^2*log(x) - 360*b*d^5*n*x*e*log(x) - 60*b*d*n*x^5*e^5 - 330*b*d^2*n*x^4*e^4 - 740*b*d^3*n*x^3*e^3 - 855*b*d^4*n*x^2*e^2 - 522*b*d^5*n*x*e + 60*b*d^6*n*log(x*e + d) - 137*b*d^6*n + 60*b*d^6*log(c) + 60*a*d^6)/(d^6*x^6*e^7 + 6*d^7*x^5*e^6 + 15*d^8*x^4*e^5 + 20*d^9*x^3*e^4 + 15*d^10*x^2*e^3 + 6*d^11*x*e^2 + d^12*e)","B",0
71,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^7,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{7} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^7*x), x)","F",0
72,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^7,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{7} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^7*x^2), x)","F",0
73,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^7,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{7} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^7*x^3), x)","F",0
74,0,0,0,0.000000," ","integrate(log(c*x)/(-c*x+1),x, algorithm=""giac"")","\int -\frac{\log\left(c x\right)}{c x - 1}\,{d x}"," ",0,"integrate(-log(c*x)/(c*x - 1), x)","F",0
75,0,0,0,0.000000," ","integrate(log(x/c)/(c-x),x, algorithm=""giac"")","\int \frac{\log\left(\frac{x}{c}\right)}{c - x}\,{d x}"," ",0,"integrate(log(x/c)/(c - x), x)","F",0
76,1,251,0,0.388522," ","integrate(x^2*(e*x+d)*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{4} \, b^{2} n^{2} x^{4} e \log\left(x\right)^{2} - \frac{1}{8} \, b^{2} n^{2} x^{4} e \log\left(x\right) + \frac{1}{2} \, b^{2} n x^{4} e \log\left(c\right) \log\left(x\right) + \frac{1}{3} \, b^{2} d n^{2} x^{3} \log\left(x\right)^{2} + \frac{1}{32} \, b^{2} n^{2} x^{4} e - \frac{1}{8} \, b^{2} n x^{4} e \log\left(c\right) + \frac{1}{4} \, b^{2} x^{4} e \log\left(c\right)^{2} - \frac{2}{9} \, b^{2} d n^{2} x^{3} \log\left(x\right) + \frac{1}{2} \, a b n x^{4} e \log\left(x\right) + \frac{2}{3} \, b^{2} d n x^{3} \log\left(c\right) \log\left(x\right) + \frac{2}{27} \, b^{2} d n^{2} x^{3} - \frac{1}{8} \, a b n x^{4} e - \frac{2}{9} \, b^{2} d n x^{3} \log\left(c\right) + \frac{1}{2} \, a b x^{4} e \log\left(c\right) + \frac{1}{3} \, b^{2} d x^{3} \log\left(c\right)^{2} + \frac{2}{3} \, a b d n x^{3} \log\left(x\right) - \frac{2}{9} \, a b d n x^{3} + \frac{1}{4} \, a^{2} x^{4} e + \frac{2}{3} \, a b d x^{3} \log\left(c\right) + \frac{1}{3} \, a^{2} d x^{3}"," ",0,"1/4*b^2*n^2*x^4*e*log(x)^2 - 1/8*b^2*n^2*x^4*e*log(x) + 1/2*b^2*n*x^4*e*log(c)*log(x) + 1/3*b^2*d*n^2*x^3*log(x)^2 + 1/32*b^2*n^2*x^4*e - 1/8*b^2*n*x^4*e*log(c) + 1/4*b^2*x^4*e*log(c)^2 - 2/9*b^2*d*n^2*x^3*log(x) + 1/2*a*b*n*x^4*e*log(x) + 2/3*b^2*d*n*x^3*log(c)*log(x) + 2/27*b^2*d*n^2*x^3 - 1/8*a*b*n*x^4*e - 2/9*b^2*d*n*x^3*log(c) + 1/2*a*b*x^4*e*log(c) + 1/3*b^2*d*x^3*log(c)^2 + 2/3*a*b*d*n*x^3*log(x) - 2/9*a*b*d*n*x^3 + 1/4*a^2*x^4*e + 2/3*a*b*d*x^3*log(c) + 1/3*a^2*d*x^3","B",0
77,1,248,0,0.257742," ","integrate(x*(e*x+d)*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{3} \, b^{2} n^{2} x^{3} e \log\left(x\right)^{2} - \frac{2}{9} \, b^{2} n^{2} x^{3} e \log\left(x\right) + \frac{2}{3} \, b^{2} n x^{3} e \log\left(c\right) \log\left(x\right) + \frac{1}{2} \, b^{2} d n^{2} x^{2} \log\left(x\right)^{2} + \frac{2}{27} \, b^{2} n^{2} x^{3} e - \frac{2}{9} \, b^{2} n x^{3} e \log\left(c\right) + \frac{1}{3} \, b^{2} x^{3} e \log\left(c\right)^{2} - \frac{1}{2} \, b^{2} d n^{2} x^{2} \log\left(x\right) + \frac{2}{3} \, a b n x^{3} e \log\left(x\right) + b^{2} d n x^{2} \log\left(c\right) \log\left(x\right) + \frac{1}{4} \, b^{2} d n^{2} x^{2} - \frac{2}{9} \, a b n x^{3} e - \frac{1}{2} \, b^{2} d n x^{2} \log\left(c\right) + \frac{2}{3} \, a b x^{3} e \log\left(c\right) + \frac{1}{2} \, b^{2} d x^{2} \log\left(c\right)^{2} + a b d n x^{2} \log\left(x\right) - \frac{1}{2} \, a b d n x^{2} + \frac{1}{3} \, a^{2} x^{3} e + a b d x^{2} \log\left(c\right) + \frac{1}{2} \, a^{2} d x^{2}"," ",0,"1/3*b^2*n^2*x^3*e*log(x)^2 - 2/9*b^2*n^2*x^3*e*log(x) + 2/3*b^2*n*x^3*e*log(c)*log(x) + 1/2*b^2*d*n^2*x^2*log(x)^2 + 2/27*b^2*n^2*x^3*e - 2/9*b^2*n*x^3*e*log(c) + 1/3*b^2*x^3*e*log(c)^2 - 1/2*b^2*d*n^2*x^2*log(x) + 2/3*a*b*n*x^3*e*log(x) + b^2*d*n*x^2*log(c)*log(x) + 1/4*b^2*d*n^2*x^2 - 2/9*a*b*n*x^3*e - 1/2*b^2*d*n*x^2*log(c) + 2/3*a*b*x^3*e*log(c) + 1/2*b^2*d*x^2*log(c)^2 + a*b*d*n*x^2*log(x) - 1/2*a*b*d*n*x^2 + 1/3*a^2*x^3*e + a*b*d*x^2*log(c) + 1/2*a^2*d*x^2","B",0
78,1,225,0,0.348403," ","integrate((e*x+d)*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{2} \, b^{2} n^{2} x^{2} e \log\left(x\right)^{2} - \frac{1}{2} \, b^{2} n^{2} x^{2} e \log\left(x\right) + b^{2} n x^{2} e \log\left(c\right) \log\left(x\right) + b^{2} d n^{2} x \log\left(x\right)^{2} + \frac{1}{4} \, b^{2} n^{2} x^{2} e - \frac{1}{2} \, b^{2} n x^{2} e \log\left(c\right) + \frac{1}{2} \, b^{2} x^{2} e \log\left(c\right)^{2} - 2 \, b^{2} d n^{2} x \log\left(x\right) + a b n x^{2} e \log\left(x\right) + 2 \, b^{2} d n x \log\left(c\right) \log\left(x\right) + 2 \, b^{2} d n^{2} x - \frac{1}{2} \, a b n x^{2} e - 2 \, b^{2} d n x \log\left(c\right) + a b x^{2} e \log\left(c\right) + b^{2} d x \log\left(c\right)^{2} + 2 \, a b d n x \log\left(x\right) - 2 \, a b d n x + \frac{1}{2} \, a^{2} x^{2} e + 2 \, a b d x \log\left(c\right) + a^{2} d x"," ",0,"1/2*b^2*n^2*x^2*e*log(x)^2 - 1/2*b^2*n^2*x^2*e*log(x) + b^2*n*x^2*e*log(c)*log(x) + b^2*d*n^2*x*log(x)^2 + 1/4*b^2*n^2*x^2*e - 1/2*b^2*n*x^2*e*log(c) + 1/2*b^2*x^2*e*log(c)^2 - 2*b^2*d*n^2*x*log(x) + a*b*n*x^2*e*log(x) + 2*b^2*d*n*x*log(c)*log(x) + 2*b^2*d*n^2*x - 1/2*a*b*n*x^2*e - 2*b^2*d*n*x*log(c) + a*b*x^2*e*log(c) + b^2*d*x*log(c)^2 + 2*a*b*d*n*x*log(x) - 2*a*b*d*n*x + 1/2*a^2*x^2*e + 2*a*b*d*x*log(c) + a^2*d*x","B",0
79,1,169,0,0.347432," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x,x, algorithm=""giac"")","b^{2} n^{2} x e \log\left(x\right)^{2} + \frac{1}{3} \, b^{2} d n^{2} \log\left(x\right)^{3} - 2 \, b^{2} n^{2} x e \log\left(x\right) + 2 \, b^{2} n x e \log\left(c\right) \log\left(x\right) + b^{2} d n \log\left(c\right) \log\left(x\right)^{2} + 2 \, b^{2} n^{2} x e - 2 \, b^{2} n x e \log\left(c\right) + b^{2} x e \log\left(c\right)^{2} + 2 \, a b n x e \log\left(x\right) + b^{2} d \log\left(c\right)^{2} \log\left(x\right) + a b d n \log\left(x\right)^{2} - 2 \, a b n x e + 2 \, a b x e \log\left(c\right) + 2 \, a b d \log\left(c\right) \log\left(x\right) + a^{2} x e + a^{2} d \log\left(x\right)"," ",0,"b^2*n^2*x*e*log(x)^2 + 1/3*b^2*d*n^2*log(x)^3 - 2*b^2*n^2*x*e*log(x) + 2*b^2*n*x*e*log(c)*log(x) + b^2*d*n*log(c)*log(x)^2 + 2*b^2*n^2*x*e - 2*b^2*n*x*e*log(c) + b^2*x*e*log(c)^2 + 2*a*b*n*x*e*log(x) + b^2*d*log(c)^2*log(x) + a*b*d*n*log(x)^2 - 2*a*b*n*x*e + 2*a*b*x*e*log(c) + 2*a*b*d*log(c)*log(x) + a^2*x*e + a^2*d*log(x)","B",0
80,1,172,0,0.304637," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x^2,x, algorithm=""giac"")","\frac{b^{2} n^{2} x e \log\left(x\right)^{3} + 3 \, b^{2} n x e \log\left(c\right) \log\left(x\right)^{2} + 3 \, b^{2} x e \log\left(c\right)^{2} \log\left(x\right) - 3 \, b^{2} d n^{2} \log\left(x\right)^{2} + 3 \, a b n x e \log\left(x\right)^{2} - 6 \, b^{2} d n^{2} \log\left(x\right) - 6 \, b^{2} d n \log\left(c\right) \log\left(x\right) + 6 \, a b x e \log\left(c\right) \log\left(x\right) - 6 \, b^{2} d n^{2} - 6 \, b^{2} d n \log\left(c\right) - 3 \, b^{2} d \log\left(c\right)^{2} - 6 \, a b d n \log\left(x\right) + 3 \, a^{2} x e \log\left(x\right) - 6 \, a b d n - 6 \, a b d \log\left(c\right) - 3 \, a^{2} d}{3 \, x}"," ",0,"1/3*(b^2*n^2*x*e*log(x)^3 + 3*b^2*n*x*e*log(c)*log(x)^2 + 3*b^2*x*e*log(c)^2*log(x) - 3*b^2*d*n^2*log(x)^2 + 3*a*b*n*x*e*log(x)^2 - 6*b^2*d*n^2*log(x) - 6*b^2*d*n*log(c)*log(x) + 6*a*b*x*e*log(c)*log(x) - 6*b^2*d*n^2 - 6*b^2*d*n*log(c) - 3*b^2*d*log(c)^2 - 6*a*b*d*n*log(x) + 3*a^2*x*e*log(x) - 6*a*b*d*n - 6*a*b*d*log(c) - 3*a^2*d)/x","B",0
81,1,205,0,0.289680," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x^3,x, algorithm=""giac"")","-\frac{4 \, b^{2} n^{2} x e \log\left(x\right)^{2} + 8 \, b^{2} n^{2} x e \log\left(x\right) + 8 \, b^{2} n x e \log\left(c\right) \log\left(x\right) + 2 \, b^{2} d n^{2} \log\left(x\right)^{2} + 8 \, b^{2} n^{2} x e + 8 \, b^{2} n x e \log\left(c\right) + 4 \, b^{2} x e \log\left(c\right)^{2} + 2 \, b^{2} d n^{2} \log\left(x\right) + 8 \, a b n x e \log\left(x\right) + 4 \, b^{2} d n \log\left(c\right) \log\left(x\right) + b^{2} d n^{2} + 8 \, a b n x e + 2 \, b^{2} d n \log\left(c\right) + 8 \, a b x e \log\left(c\right) + 2 \, b^{2} d \log\left(c\right)^{2} + 4 \, a b d n \log\left(x\right) + 2 \, a b d n + 4 \, a^{2} x e + 4 \, a b d \log\left(c\right) + 2 \, a^{2} d}{4 \, x^{2}}"," ",0,"-1/4*(4*b^2*n^2*x*e*log(x)^2 + 8*b^2*n^2*x*e*log(x) + 8*b^2*n*x*e*log(c)*log(x) + 2*b^2*d*n^2*log(x)^2 + 8*b^2*n^2*x*e + 8*b^2*n*x*e*log(c) + 4*b^2*x*e*log(c)^2 + 2*b^2*d*n^2*log(x) + 8*a*b*n*x*e*log(x) + 4*b^2*d*n*log(c)*log(x) + b^2*d*n^2 + 8*a*b*n*x*e + 2*b^2*d*n*log(c) + 8*a*b*x*e*log(c) + 2*b^2*d*log(c)^2 + 4*a*b*d*n*log(x) + 2*a*b*d*n + 4*a^2*x*e + 4*a*b*d*log(c) + 2*a^2*d)/x^2","B",0
82,1,206,0,0.337434," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x^4,x, algorithm=""giac"")","-\frac{54 \, b^{2} n^{2} x e \log\left(x\right)^{2} + 54 \, b^{2} n^{2} x e \log\left(x\right) + 108 \, b^{2} n x e \log\left(c\right) \log\left(x\right) + 36 \, b^{2} d n^{2} \log\left(x\right)^{2} + 27 \, b^{2} n^{2} x e + 54 \, b^{2} n x e \log\left(c\right) + 54 \, b^{2} x e \log\left(c\right)^{2} + 24 \, b^{2} d n^{2} \log\left(x\right) + 108 \, a b n x e \log\left(x\right) + 72 \, b^{2} d n \log\left(c\right) \log\left(x\right) + 8 \, b^{2} d n^{2} + 54 \, a b n x e + 24 \, b^{2} d n \log\left(c\right) + 108 \, a b x e \log\left(c\right) + 36 \, b^{2} d \log\left(c\right)^{2} + 72 \, a b d n \log\left(x\right) + 24 \, a b d n + 54 \, a^{2} x e + 72 \, a b d \log\left(c\right) + 36 \, a^{2} d}{108 \, x^{3}}"," ",0,"-1/108*(54*b^2*n^2*x*e*log(x)^2 + 54*b^2*n^2*x*e*log(x) + 108*b^2*n*x*e*log(c)*log(x) + 36*b^2*d*n^2*log(x)^2 + 27*b^2*n^2*x*e + 54*b^2*n*x*e*log(c) + 54*b^2*x*e*log(c)^2 + 24*b^2*d*n^2*log(x) + 108*a*b*n*x*e*log(x) + 72*b^2*d*n*log(c)*log(x) + 8*b^2*d*n^2 + 54*a*b*n*x*e + 24*b^2*d*n*log(c) + 108*a*b*x*e*log(c) + 36*b^2*d*log(c)^2 + 72*a*b*d*n*log(x) + 24*a*b*d*n + 54*a^2*x*e + 72*a*b*d*log(c) + 36*a^2*d)/x^3","B",0
83,1,206,0,0.305828," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x^5,x, algorithm=""giac"")","-\frac{288 \, b^{2} n^{2} x e \log\left(x\right)^{2} + 192 \, b^{2} n^{2} x e \log\left(x\right) + 576 \, b^{2} n x e \log\left(c\right) \log\left(x\right) + 216 \, b^{2} d n^{2} \log\left(x\right)^{2} + 64 \, b^{2} n^{2} x e + 192 \, b^{2} n x e \log\left(c\right) + 288 \, b^{2} x e \log\left(c\right)^{2} + 108 \, b^{2} d n^{2} \log\left(x\right) + 576 \, a b n x e \log\left(x\right) + 432 \, b^{2} d n \log\left(c\right) \log\left(x\right) + 27 \, b^{2} d n^{2} + 192 \, a b n x e + 108 \, b^{2} d n \log\left(c\right) + 576 \, a b x e \log\left(c\right) + 216 \, b^{2} d \log\left(c\right)^{2} + 432 \, a b d n \log\left(x\right) + 108 \, a b d n + 288 \, a^{2} x e + 432 \, a b d \log\left(c\right) + 216 \, a^{2} d}{864 \, x^{4}}"," ",0,"-1/864*(288*b^2*n^2*x*e*log(x)^2 + 192*b^2*n^2*x*e*log(x) + 576*b^2*n*x*e*log(c)*log(x) + 216*b^2*d*n^2*log(x)^2 + 64*b^2*n^2*x*e + 192*b^2*n*x*e*log(c) + 288*b^2*x*e*log(c)^2 + 108*b^2*d*n^2*log(x) + 576*a*b*n*x*e*log(x) + 432*b^2*d*n*log(c)*log(x) + 27*b^2*d*n^2 + 192*a*b*n*x*e + 108*b^2*d*n*log(c) + 576*a*b*x*e*log(c) + 216*b^2*d*log(c)^2 + 432*a*b*d*n*log(x) + 108*a*b*d*n + 288*a^2*x*e + 432*a*b*d*log(c) + 216*a^2*d)/x^4","B",0
84,1,408,0,0.382938," ","integrate(x^2*(e*x+d)^2*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{5} \, b^{2} n^{2} x^{5} e^{2} \log\left(x\right)^{2} + \frac{1}{2} \, b^{2} d n^{2} x^{4} e \log\left(x\right)^{2} - \frac{2}{25} \, b^{2} n^{2} x^{5} e^{2} \log\left(x\right) - \frac{1}{4} \, b^{2} d n^{2} x^{4} e \log\left(x\right) + \frac{2}{5} \, b^{2} n x^{5} e^{2} \log\left(c\right) \log\left(x\right) + b^{2} d n x^{4} e \log\left(c\right) \log\left(x\right) + \frac{1}{3} \, b^{2} d^{2} n^{2} x^{3} \log\left(x\right)^{2} + \frac{2}{125} \, b^{2} n^{2} x^{5} e^{2} + \frac{1}{16} \, b^{2} d n^{2} x^{4} e - \frac{2}{25} \, b^{2} n x^{5} e^{2} \log\left(c\right) - \frac{1}{4} \, b^{2} d n x^{4} e \log\left(c\right) + \frac{1}{5} \, b^{2} x^{5} e^{2} \log\left(c\right)^{2} + \frac{1}{2} \, b^{2} d x^{4} e \log\left(c\right)^{2} - \frac{2}{9} \, b^{2} d^{2} n^{2} x^{3} \log\left(x\right) + \frac{2}{5} \, a b n x^{5} e^{2} \log\left(x\right) + a b d n x^{4} e \log\left(x\right) + \frac{2}{3} \, b^{2} d^{2} n x^{3} \log\left(c\right) \log\left(x\right) + \frac{2}{27} \, b^{2} d^{2} n^{2} x^{3} - \frac{2}{25} \, a b n x^{5} e^{2} - \frac{1}{4} \, a b d n x^{4} e - \frac{2}{9} \, b^{2} d^{2} n x^{3} \log\left(c\right) + \frac{2}{5} \, a b x^{5} e^{2} \log\left(c\right) + a b d x^{4} e \log\left(c\right) + \frac{1}{3} \, b^{2} d^{2} x^{3} \log\left(c\right)^{2} + \frac{2}{3} \, a b d^{2} n x^{3} \log\left(x\right) - \frac{2}{9} \, a b d^{2} n x^{3} + \frac{1}{5} \, a^{2} x^{5} e^{2} + \frac{1}{2} \, a^{2} d x^{4} e + \frac{2}{3} \, a b d^{2} x^{3} \log\left(c\right) + \frac{1}{3} \, a^{2} d^{2} x^{3}"," ",0,"1/5*b^2*n^2*x^5*e^2*log(x)^2 + 1/2*b^2*d*n^2*x^4*e*log(x)^2 - 2/25*b^2*n^2*x^5*e^2*log(x) - 1/4*b^2*d*n^2*x^4*e*log(x) + 2/5*b^2*n*x^5*e^2*log(c)*log(x) + b^2*d*n*x^4*e*log(c)*log(x) + 1/3*b^2*d^2*n^2*x^3*log(x)^2 + 2/125*b^2*n^2*x^5*e^2 + 1/16*b^2*d*n^2*x^4*e - 2/25*b^2*n*x^5*e^2*log(c) - 1/4*b^2*d*n*x^4*e*log(c) + 1/5*b^2*x^5*e^2*log(c)^2 + 1/2*b^2*d*x^4*e*log(c)^2 - 2/9*b^2*d^2*n^2*x^3*log(x) + 2/5*a*b*n*x^5*e^2*log(x) + a*b*d*n*x^4*e*log(x) + 2/3*b^2*d^2*n*x^3*log(c)*log(x) + 2/27*b^2*d^2*n^2*x^3 - 2/25*a*b*n*x^5*e^2 - 1/4*a*b*d*n*x^4*e - 2/9*b^2*d^2*n*x^3*log(c) + 2/5*a*b*x^5*e^2*log(c) + a*b*d*x^4*e*log(c) + 1/3*b^2*d^2*x^3*log(c)^2 + 2/3*a*b*d^2*n*x^3*log(x) - 2/9*a*b*d^2*n*x^3 + 1/5*a^2*x^5*e^2 + 1/2*a^2*d*x^4*e + 2/3*a*b*d^2*x^3*log(c) + 1/3*a^2*d^2*x^3","B",0
85,1,408,0,0.323564," ","integrate(x*(e*x+d)^2*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{4} \, b^{2} n^{2} x^{4} e^{2} \log\left(x\right)^{2} + \frac{2}{3} \, b^{2} d n^{2} x^{3} e \log\left(x\right)^{2} - \frac{1}{8} \, b^{2} n^{2} x^{4} e^{2} \log\left(x\right) - \frac{4}{9} \, b^{2} d n^{2} x^{3} e \log\left(x\right) + \frac{1}{2} \, b^{2} n x^{4} e^{2} \log\left(c\right) \log\left(x\right) + \frac{4}{3} \, b^{2} d n x^{3} e \log\left(c\right) \log\left(x\right) + \frac{1}{2} \, b^{2} d^{2} n^{2} x^{2} \log\left(x\right)^{2} + \frac{1}{32} \, b^{2} n^{2} x^{4} e^{2} + \frac{4}{27} \, b^{2} d n^{2} x^{3} e - \frac{1}{8} \, b^{2} n x^{4} e^{2} \log\left(c\right) - \frac{4}{9} \, b^{2} d n x^{3} e \log\left(c\right) + \frac{1}{4} \, b^{2} x^{4} e^{2} \log\left(c\right)^{2} + \frac{2}{3} \, b^{2} d x^{3} e \log\left(c\right)^{2} - \frac{1}{2} \, b^{2} d^{2} n^{2} x^{2} \log\left(x\right) + \frac{1}{2} \, a b n x^{4} e^{2} \log\left(x\right) + \frac{4}{3} \, a b d n x^{3} e \log\left(x\right) + b^{2} d^{2} n x^{2} \log\left(c\right) \log\left(x\right) + \frac{1}{4} \, b^{2} d^{2} n^{2} x^{2} - \frac{1}{8} \, a b n x^{4} e^{2} - \frac{4}{9} \, a b d n x^{3} e - \frac{1}{2} \, b^{2} d^{2} n x^{2} \log\left(c\right) + \frac{1}{2} \, a b x^{4} e^{2} \log\left(c\right) + \frac{4}{3} \, a b d x^{3} e \log\left(c\right) + \frac{1}{2} \, b^{2} d^{2} x^{2} \log\left(c\right)^{2} + a b d^{2} n x^{2} \log\left(x\right) - \frac{1}{2} \, a b d^{2} n x^{2} + \frac{1}{4} \, a^{2} x^{4} e^{2} + \frac{2}{3} \, a^{2} d x^{3} e + a b d^{2} x^{2} \log\left(c\right) + \frac{1}{2} \, a^{2} d^{2} x^{2}"," ",0,"1/4*b^2*n^2*x^4*e^2*log(x)^2 + 2/3*b^2*d*n^2*x^3*e*log(x)^2 - 1/8*b^2*n^2*x^4*e^2*log(x) - 4/9*b^2*d*n^2*x^3*e*log(x) + 1/2*b^2*n*x^4*e^2*log(c)*log(x) + 4/3*b^2*d*n*x^3*e*log(c)*log(x) + 1/2*b^2*d^2*n^2*x^2*log(x)^2 + 1/32*b^2*n^2*x^4*e^2 + 4/27*b^2*d*n^2*x^3*e - 1/8*b^2*n*x^4*e^2*log(c) - 4/9*b^2*d*n*x^3*e*log(c) + 1/4*b^2*x^4*e^2*log(c)^2 + 2/3*b^2*d*x^3*e*log(c)^2 - 1/2*b^2*d^2*n^2*x^2*log(x) + 1/2*a*b*n*x^4*e^2*log(x) + 4/3*a*b*d*n*x^3*e*log(x) + b^2*d^2*n*x^2*log(c)*log(x) + 1/4*b^2*d^2*n^2*x^2 - 1/8*a*b*n*x^4*e^2 - 4/9*a*b*d*n*x^3*e - 1/2*b^2*d^2*n*x^2*log(c) + 1/2*a*b*x^4*e^2*log(c) + 4/3*a*b*d*x^3*e*log(c) + 1/2*b^2*d^2*x^2*log(c)^2 + a*b*d^2*n*x^2*log(x) - 1/2*a*b*d^2*n*x^2 + 1/4*a^2*x^4*e^2 + 2/3*a^2*d*x^3*e + a*b*d^2*x^2*log(c) + 1/2*a^2*d^2*x^2","B",0
86,1,385,0,0.362691," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{3} \, b^{2} n^{2} x^{3} e^{2} \log\left(x\right)^{2} + b^{2} d n^{2} x^{2} e \log\left(x\right)^{2} - \frac{2}{9} \, b^{2} n^{2} x^{3} e^{2} \log\left(x\right) - b^{2} d n^{2} x^{2} e \log\left(x\right) + \frac{2}{3} \, b^{2} n x^{3} e^{2} \log\left(c\right) \log\left(x\right) + 2 \, b^{2} d n x^{2} e \log\left(c\right) \log\left(x\right) + b^{2} d^{2} n^{2} x \log\left(x\right)^{2} + \frac{2}{27} \, b^{2} n^{2} x^{3} e^{2} + \frac{1}{2} \, b^{2} d n^{2} x^{2} e - \frac{2}{9} \, b^{2} n x^{3} e^{2} \log\left(c\right) - b^{2} d n x^{2} e \log\left(c\right) + \frac{1}{3} \, b^{2} x^{3} e^{2} \log\left(c\right)^{2} + b^{2} d x^{2} e \log\left(c\right)^{2} - 2 \, b^{2} d^{2} n^{2} x \log\left(x\right) + \frac{2}{3} \, a b n x^{3} e^{2} \log\left(x\right) + 2 \, a b d n x^{2} e \log\left(x\right) + 2 \, b^{2} d^{2} n x \log\left(c\right) \log\left(x\right) + 2 \, b^{2} d^{2} n^{2} x - \frac{2}{9} \, a b n x^{3} e^{2} - a b d n x^{2} e - 2 \, b^{2} d^{2} n x \log\left(c\right) + \frac{2}{3} \, a b x^{3} e^{2} \log\left(c\right) + 2 \, a b d x^{2} e \log\left(c\right) + b^{2} d^{2} x \log\left(c\right)^{2} + 2 \, a b d^{2} n x \log\left(x\right) - 2 \, a b d^{2} n x + \frac{1}{3} \, a^{2} x^{3} e^{2} + a^{2} d x^{2} e + 2 \, a b d^{2} x \log\left(c\right) + a^{2} d^{2} x"," ",0,"1/3*b^2*n^2*x^3*e^2*log(x)^2 + b^2*d*n^2*x^2*e*log(x)^2 - 2/9*b^2*n^2*x^3*e^2*log(x) - b^2*d*n^2*x^2*e*log(x) + 2/3*b^2*n*x^3*e^2*log(c)*log(x) + 2*b^2*d*n*x^2*e*log(c)*log(x) + b^2*d^2*n^2*x*log(x)^2 + 2/27*b^2*n^2*x^3*e^2 + 1/2*b^2*d*n^2*x^2*e - 2/9*b^2*n*x^3*e^2*log(c) - b^2*d*n*x^2*e*log(c) + 1/3*b^2*x^3*e^2*log(c)^2 + b^2*d*x^2*e*log(c)^2 - 2*b^2*d^2*n^2*x*log(x) + 2/3*a*b*n*x^3*e^2*log(x) + 2*a*b*d*n*x^2*e*log(x) + 2*b^2*d^2*n*x*log(c)*log(x) + 2*b^2*d^2*n^2*x - 2/9*a*b*n*x^3*e^2 - a*b*d*n*x^2*e - 2*b^2*d^2*n*x*log(c) + 2/3*a*b*x^3*e^2*log(c) + 2*a*b*d*x^2*e*log(c) + b^2*d^2*x*log(c)^2 + 2*a*b*d^2*n*x*log(x) - 2*a*b*d^2*n*x + 1/3*a^2*x^3*e^2 + a^2*d*x^2*e + 2*a*b*d^2*x*log(c) + a^2*d^2*x","B",0
87,1,321,0,0.342629," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x,x, algorithm=""giac"")","\frac{1}{2} \, b^{2} n^{2} x^{2} e^{2} \log\left(x\right)^{2} + 2 \, b^{2} d n^{2} x e \log\left(x\right)^{2} + \frac{1}{3} \, b^{2} d^{2} n^{2} \log\left(x\right)^{3} - \frac{1}{2} \, b^{2} n^{2} x^{2} e^{2} \log\left(x\right) - 4 \, b^{2} d n^{2} x e \log\left(x\right) + b^{2} n x^{2} e^{2} \log\left(c\right) \log\left(x\right) + 4 \, b^{2} d n x e \log\left(c\right) \log\left(x\right) + b^{2} d^{2} n \log\left(c\right) \log\left(x\right)^{2} + \frac{1}{4} \, b^{2} n^{2} x^{2} e^{2} + 4 \, b^{2} d n^{2} x e - \frac{1}{2} \, b^{2} n x^{2} e^{2} \log\left(c\right) - 4 \, b^{2} d n x e \log\left(c\right) + \frac{1}{2} \, b^{2} x^{2} e^{2} \log\left(c\right)^{2} + 2 \, b^{2} d x e \log\left(c\right)^{2} + a b n x^{2} e^{2} \log\left(x\right) + 4 \, a b d n x e \log\left(x\right) + b^{2} d^{2} \log\left(c\right)^{2} \log\left(x\right) + a b d^{2} n \log\left(x\right)^{2} - \frac{1}{2} \, a b n x^{2} e^{2} - 4 \, a b d n x e + a b x^{2} e^{2} \log\left(c\right) + 4 \, a b d x e \log\left(c\right) + 2 \, a b d^{2} \log\left(c\right) \log\left(x\right) + \frac{1}{2} \, a^{2} x^{2} e^{2} + 2 \, a^{2} d x e + a^{2} d^{2} \log\left(x\right)"," ",0,"1/2*b^2*n^2*x^2*e^2*log(x)^2 + 2*b^2*d*n^2*x*e*log(x)^2 + 1/3*b^2*d^2*n^2*log(x)^3 - 1/2*b^2*n^2*x^2*e^2*log(x) - 4*b^2*d*n^2*x*e*log(x) + b^2*n*x^2*e^2*log(c)*log(x) + 4*b^2*d*n*x*e*log(c)*log(x) + b^2*d^2*n*log(c)*log(x)^2 + 1/4*b^2*n^2*x^2*e^2 + 4*b^2*d*n^2*x*e - 1/2*b^2*n*x^2*e^2*log(c) - 4*b^2*d*n*x*e*log(c) + 1/2*b^2*x^2*e^2*log(c)^2 + 2*b^2*d*x*e*log(c)^2 + a*b*n*x^2*e^2*log(x) + 4*a*b*d*n*x*e*log(x) + b^2*d^2*log(c)^2*log(x) + a*b*d^2*n*log(x)^2 - 1/2*a*b*n*x^2*e^2 - 4*a*b*d*n*x*e + a*b*x^2*e^2*log(c) + 4*a*b*d*x*e*log(c) + 2*a*b*d^2*log(c)*log(x) + 1/2*a^2*x^2*e^2 + 2*a^2*d*x*e + a^2*d^2*log(x)","B",0
88,1,329,0,0.404779," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x^2,x, algorithm=""giac"")","\frac{2 \, b^{2} d n^{2} x e \log\left(x\right)^{3} + 3 \, b^{2} n^{2} x^{2} e^{2} \log\left(x\right)^{2} + 6 \, b^{2} d n x e \log\left(c\right) \log\left(x\right)^{2} - 6 \, b^{2} n^{2} x^{2} e^{2} \log\left(x\right) + 6 \, b^{2} n x^{2} e^{2} \log\left(c\right) \log\left(x\right) + 6 \, b^{2} d x e \log\left(c\right)^{2} \log\left(x\right) - 3 \, b^{2} d^{2} n^{2} \log\left(x\right)^{2} + 6 \, a b d n x e \log\left(x\right)^{2} + 6 \, b^{2} n^{2} x^{2} e^{2} - 6 \, b^{2} n x^{2} e^{2} \log\left(c\right) + 3 \, b^{2} x^{2} e^{2} \log\left(c\right)^{2} - 6 \, b^{2} d^{2} n^{2} \log\left(x\right) + 6 \, a b n x^{2} e^{2} \log\left(x\right) - 6 \, b^{2} d^{2} n \log\left(c\right) \log\left(x\right) + 12 \, a b d x e \log\left(c\right) \log\left(x\right) - 6 \, b^{2} d^{2} n^{2} - 6 \, a b n x^{2} e^{2} - 6 \, b^{2} d^{2} n \log\left(c\right) + 6 \, a b x^{2} e^{2} \log\left(c\right) - 3 \, b^{2} d^{2} \log\left(c\right)^{2} - 6 \, a b d^{2} n \log\left(x\right) + 6 \, a^{2} d x e \log\left(x\right) - 6 \, a b d^{2} n + 3 \, a^{2} x^{2} e^{2} - 6 \, a b d^{2} \log\left(c\right) - 3 \, a^{2} d^{2}}{3 \, x}"," ",0,"1/3*(2*b^2*d*n^2*x*e*log(x)^3 + 3*b^2*n^2*x^2*e^2*log(x)^2 + 6*b^2*d*n*x*e*log(c)*log(x)^2 - 6*b^2*n^2*x^2*e^2*log(x) + 6*b^2*n*x^2*e^2*log(c)*log(x) + 6*b^2*d*x*e*log(c)^2*log(x) - 3*b^2*d^2*n^2*log(x)^2 + 6*a*b*d*n*x*e*log(x)^2 + 6*b^2*n^2*x^2*e^2 - 6*b^2*n*x^2*e^2*log(c) + 3*b^2*x^2*e^2*log(c)^2 - 6*b^2*d^2*n^2*log(x) + 6*a*b*n*x^2*e^2*log(x) - 6*b^2*d^2*n*log(c)*log(x) + 12*a*b*d*x*e*log(c)*log(x) - 6*b^2*d^2*n^2 - 6*a*b*n*x^2*e^2 - 6*b^2*d^2*n*log(c) + 6*a*b*x^2*e^2*log(c) - 3*b^2*d^2*log(c)^2 - 6*a*b*d^2*n*log(x) + 6*a^2*d*x*e*log(x) - 6*a*b*d^2*n + 3*a^2*x^2*e^2 - 6*a*b*d^2*log(c) - 3*a^2*d^2)/x","B",0
89,1,325,0,0.443442," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x^3,x, algorithm=""giac"")","\frac{4 \, b^{2} n^{2} x^{2} e^{2} \log\left(x\right)^{3} - 24 \, b^{2} d n^{2} x e \log\left(x\right)^{2} + 12 \, b^{2} n x^{2} e^{2} \log\left(c\right) \log\left(x\right)^{2} - 48 \, b^{2} d n^{2} x e \log\left(x\right) - 48 \, b^{2} d n x e \log\left(c\right) \log\left(x\right) + 12 \, b^{2} x^{2} e^{2} \log\left(c\right)^{2} \log\left(x\right) - 6 \, b^{2} d^{2} n^{2} \log\left(x\right)^{2} + 12 \, a b n x^{2} e^{2} \log\left(x\right)^{2} - 48 \, b^{2} d n^{2} x e - 48 \, b^{2} d n x e \log\left(c\right) - 24 \, b^{2} d x e \log\left(c\right)^{2} - 6 \, b^{2} d^{2} n^{2} \log\left(x\right) - 48 \, a b d n x e \log\left(x\right) - 12 \, b^{2} d^{2} n \log\left(c\right) \log\left(x\right) + 24 \, a b x^{2} e^{2} \log\left(c\right) \log\left(x\right) - 3 \, b^{2} d^{2} n^{2} - 48 \, a b d n x e - 6 \, b^{2} d^{2} n \log\left(c\right) - 48 \, a b d x e \log\left(c\right) - 6 \, b^{2} d^{2} \log\left(c\right)^{2} - 12 \, a b d^{2} n \log\left(x\right) + 12 \, a^{2} x^{2} e^{2} \log\left(x\right) - 6 \, a b d^{2} n - 24 \, a^{2} d x e - 12 \, a b d^{2} \log\left(c\right) - 6 \, a^{2} d^{2}}{12 \, x^{2}}"," ",0,"1/12*(4*b^2*n^2*x^2*e^2*log(x)^3 - 24*b^2*d*n^2*x*e*log(x)^2 + 12*b^2*n*x^2*e^2*log(c)*log(x)^2 - 48*b^2*d*n^2*x*e*log(x) - 48*b^2*d*n*x*e*log(c)*log(x) + 12*b^2*x^2*e^2*log(c)^2*log(x) - 6*b^2*d^2*n^2*log(x)^2 + 12*a*b*n*x^2*e^2*log(x)^2 - 48*b^2*d*n^2*x*e - 48*b^2*d*n*x*e*log(c) - 24*b^2*d*x*e*log(c)^2 - 6*b^2*d^2*n^2*log(x) - 48*a*b*d*n*x*e*log(x) - 12*b^2*d^2*n*log(c)*log(x) + 24*a*b*x^2*e^2*log(c)*log(x) - 3*b^2*d^2*n^2 - 48*a*b*d*n*x*e - 6*b^2*d^2*n*log(c) - 48*a*b*d*x*e*log(c) - 6*b^2*d^2*log(c)^2 - 12*a*b*d^2*n*log(x) + 12*a^2*x^2*e^2*log(x) - 6*a*b*d^2*n - 24*a^2*d*x*e - 12*a*b*d^2*log(c) - 6*a^2*d^2)/x^2","B",0
90,1,366,0,0.442898," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x^4,x, algorithm=""giac"")","-\frac{54 \, b^{2} n^{2} x^{2} e^{2} \log\left(x\right)^{2} + 54 \, b^{2} d n^{2} x e \log\left(x\right)^{2} + 108 \, b^{2} n^{2} x^{2} e^{2} \log\left(x\right) + 54 \, b^{2} d n^{2} x e \log\left(x\right) + 108 \, b^{2} n x^{2} e^{2} \log\left(c\right) \log\left(x\right) + 108 \, b^{2} d n x e \log\left(c\right) \log\left(x\right) + 18 \, b^{2} d^{2} n^{2} \log\left(x\right)^{2} + 108 \, b^{2} n^{2} x^{2} e^{2} + 27 \, b^{2} d n^{2} x e + 108 \, b^{2} n x^{2} e^{2} \log\left(c\right) + 54 \, b^{2} d n x e \log\left(c\right) + 54 \, b^{2} x^{2} e^{2} \log\left(c\right)^{2} + 54 \, b^{2} d x e \log\left(c\right)^{2} + 12 \, b^{2} d^{2} n^{2} \log\left(x\right) + 108 \, a b n x^{2} e^{2} \log\left(x\right) + 108 \, a b d n x e \log\left(x\right) + 36 \, b^{2} d^{2} n \log\left(c\right) \log\left(x\right) + 4 \, b^{2} d^{2} n^{2} + 108 \, a b n x^{2} e^{2} + 54 \, a b d n x e + 12 \, b^{2} d^{2} n \log\left(c\right) + 108 \, a b x^{2} e^{2} \log\left(c\right) + 108 \, a b d x e \log\left(c\right) + 18 \, b^{2} d^{2} \log\left(c\right)^{2} + 36 \, a b d^{2} n \log\left(x\right) + 12 \, a b d^{2} n + 54 \, a^{2} x^{2} e^{2} + 54 \, a^{2} d x e + 36 \, a b d^{2} \log\left(c\right) + 18 \, a^{2} d^{2}}{54 \, x^{3}}"," ",0,"-1/54*(54*b^2*n^2*x^2*e^2*log(x)^2 + 54*b^2*d*n^2*x*e*log(x)^2 + 108*b^2*n^2*x^2*e^2*log(x) + 54*b^2*d*n^2*x*e*log(x) + 108*b^2*n*x^2*e^2*log(c)*log(x) + 108*b^2*d*n*x*e*log(c)*log(x) + 18*b^2*d^2*n^2*log(x)^2 + 108*b^2*n^2*x^2*e^2 + 27*b^2*d*n^2*x*e + 108*b^2*n*x^2*e^2*log(c) + 54*b^2*d*n*x*e*log(c) + 54*b^2*x^2*e^2*log(c)^2 + 54*b^2*d*x*e*log(c)^2 + 12*b^2*d^2*n^2*log(x) + 108*a*b*n*x^2*e^2*log(x) + 108*a*b*d*n*x*e*log(x) + 36*b^2*d^2*n*log(c)*log(x) + 4*b^2*d^2*n^2 + 108*a*b*n*x^2*e^2 + 54*a*b*d*n*x*e + 12*b^2*d^2*n*log(c) + 108*a*b*x^2*e^2*log(c) + 108*a*b*d*x*e*log(c) + 18*b^2*d^2*log(c)^2 + 36*a*b*d^2*n*log(x) + 12*a*b*d^2*n + 54*a^2*x^2*e^2 + 54*a^2*d*x*e + 36*a*b*d^2*log(c) + 18*a^2*d^2)/x^3","B",0
91,1,366,0,0.363336," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x^5,x, algorithm=""giac"")","-\frac{432 \, b^{2} n^{2} x^{2} e^{2} \log\left(x\right)^{2} + 576 \, b^{2} d n^{2} x e \log\left(x\right)^{2} + 432 \, b^{2} n^{2} x^{2} e^{2} \log\left(x\right) + 384 \, b^{2} d n^{2} x e \log\left(x\right) + 864 \, b^{2} n x^{2} e^{2} \log\left(c\right) \log\left(x\right) + 1152 \, b^{2} d n x e \log\left(c\right) \log\left(x\right) + 216 \, b^{2} d^{2} n^{2} \log\left(x\right)^{2} + 216 \, b^{2} n^{2} x^{2} e^{2} + 128 \, b^{2} d n^{2} x e + 432 \, b^{2} n x^{2} e^{2} \log\left(c\right) + 384 \, b^{2} d n x e \log\left(c\right) + 432 \, b^{2} x^{2} e^{2} \log\left(c\right)^{2} + 576 \, b^{2} d x e \log\left(c\right)^{2} + 108 \, b^{2} d^{2} n^{2} \log\left(x\right) + 864 \, a b n x^{2} e^{2} \log\left(x\right) + 1152 \, a b d n x e \log\left(x\right) + 432 \, b^{2} d^{2} n \log\left(c\right) \log\left(x\right) + 27 \, b^{2} d^{2} n^{2} + 432 \, a b n x^{2} e^{2} + 384 \, a b d n x e + 108 \, b^{2} d^{2} n \log\left(c\right) + 864 \, a b x^{2} e^{2} \log\left(c\right) + 1152 \, a b d x e \log\left(c\right) + 216 \, b^{2} d^{2} \log\left(c\right)^{2} + 432 \, a b d^{2} n \log\left(x\right) + 108 \, a b d^{2} n + 432 \, a^{2} x^{2} e^{2} + 576 \, a^{2} d x e + 432 \, a b d^{2} \log\left(c\right) + 216 \, a^{2} d^{2}}{864 \, x^{4}}"," ",0,"-1/864*(432*b^2*n^2*x^2*e^2*log(x)^2 + 576*b^2*d*n^2*x*e*log(x)^2 + 432*b^2*n^2*x^2*e^2*log(x) + 384*b^2*d*n^2*x*e*log(x) + 864*b^2*n*x^2*e^2*log(c)*log(x) + 1152*b^2*d*n*x*e*log(c)*log(x) + 216*b^2*d^2*n^2*log(x)^2 + 216*b^2*n^2*x^2*e^2 + 128*b^2*d*n^2*x*e + 432*b^2*n*x^2*e^2*log(c) + 384*b^2*d*n*x*e*log(c) + 432*b^2*x^2*e^2*log(c)^2 + 576*b^2*d*x*e*log(c)^2 + 108*b^2*d^2*n^2*log(x) + 864*a*b*n*x^2*e^2*log(x) + 1152*a*b*d*n*x*e*log(x) + 432*b^2*d^2*n*log(c)*log(x) + 27*b^2*d^2*n^2 + 432*a*b*n*x^2*e^2 + 384*a*b*d*n*x*e + 108*b^2*d^2*n*log(c) + 864*a*b*x^2*e^2*log(c) + 1152*a*b*d*x*e*log(c) + 216*b^2*d^2*log(c)^2 + 432*a*b*d^2*n*log(x) + 108*a*b*d^2*n + 432*a^2*x^2*e^2 + 576*a^2*d*x*e + 432*a*b*d^2*log(c) + 216*a^2*d^2)/x^4","B",0
92,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))^2/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{3}}{e x + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x^3/(e*x + d), x)","F",0
93,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{2}}{e x + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x^2/(e*x + d), x)","F",0
94,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x}{e x + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x/(e*x + d), x)","F",0
95,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{e x + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/(e*x + d), x)","F",0
96,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x + d)*x), x)","F",0
97,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^2/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x + d)*x^2), x)","F",0
98,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^3/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x + d)*x^3), x)","F",0
99,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^4/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)} x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x + d)*x^4), x)","F",0
100,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))^2/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{3}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x^3/(e*x + d)^2, x)","F",0
101,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{2}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x^2/(e*x + d)^2, x)","F",0
102,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x/(e*x + d)^2, x)","F",0
103,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/(e*x + d)^2, x)","F",0
104,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)}^{2} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x + d)^2*x), x)","F",0
105,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^2/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x + d)^2*x^2), x)","F",0
106,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^3/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x + d)^2*x^3), x)","F",0
107,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{3}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x^3/(e*x + d)^3, x)","F",0
108,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{2}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x^2/(e*x + d)^3, x)","F",0
109,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x/(e*x + d)^3, x)","F",0
110,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/(e*x + d)^3, x)","F",0
111,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)}^{3} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x + d)^3*x), x)","F",0
112,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^2/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x + d)^3*x^2), x)","F",0
113,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{4}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x^4/(e*x + d)^4, x)","F",0
114,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{3}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x^3/(e*x + d)^4, x)","F",0
115,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{2}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x^2/(e*x + d)^4, x)","F",0
116,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x/(e*x + d)^4, x)","F",0
117,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/(e*x + d)^4, x)","F",0
118,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)}^{4} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x + d)^4*x), x)","F",0
119,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^2/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)}^{4} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x + d)^4*x^2), x)","F",0
120,0,0,0,0.000000," ","integrate(x*log(x)^2/(e*x+d)^4,x, algorithm=""giac"")","\int \frac{x \log\left(x\right)^{2}}{{\left(e x + d\right)}^{4}}\,{d x}"," ",0,"integrate(x*log(x)^2/(e*x + d)^4, x)","F",0
121,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3/x/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3}}{{\left(e x + d\right)} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3/((e*x + d)*x), x)","F",0
122,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3/x/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3}}{{\left(e x + d\right)}^{2} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3/((e*x + d)^2*x), x)","F",0
123,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3/x/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3}}{{\left(e x + d\right)}^{3} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3/((e*x + d)^3*x), x)","F",0
124,0,0,0,0.000000," ","integrate((e*x+d)*(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\int {\left(e x + d\right)} \sqrt{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate((e*x + d)*sqrt(b*log(c*x^n) + a), x)","F",0
125,0,0,0,0.000000," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\int {\left(e x + d\right)}^{2} \sqrt{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate((e*x + d)^2*sqrt(b*log(c*x^n) + a), x)","F",0
126,0,0,0,0.000000," ","integrate((e*x+d)^3*(a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\int {\left(e x + d\right)}^{3} \sqrt{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate((e*x + d)^3*sqrt(b*log(c*x^n) + a), x)","F",0
127,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^(1/2)/(e*x+d),x, algorithm=""giac"")","\int \frac{\sqrt{b \log\left(c x^{n}\right) + a}}{e x + d}\,{d x}"," ",0,"integrate(sqrt(b*log(c*x^n) + a)/(e*x + d), x)","F",0
128,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^(1/2)/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{\sqrt{b \log\left(c x^{n}\right) + a}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(b*log(c*x^n) + a)/(e*x + d)^2, x)","F",0
129,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^(1/2)/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{\sqrt{b \log\left(c x^{n}\right) + a}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(b*log(c*x^n) + a)/(e*x + d)^3, x)","F",0
130,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))*(e*x+d)^(1/2),x, algorithm=""giac"")","\int \sqrt{e x + d} {\left(b \log\left(c x^{n}\right) + a\right)} x^{3}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(b*log(c*x^n) + a)*x^3, x)","F",0
131,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))*(e*x+d)^(1/2),x, algorithm=""giac"")","\int \sqrt{e x + d} {\left(b \log\left(c x^{n}\right) + a\right)} x^{2}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(b*log(c*x^n) + a)*x^2, x)","F",0
132,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))*(e*x+d)^(1/2),x, algorithm=""giac"")","\int \sqrt{e x + d} {\left(b \log\left(c x^{n}\right) + a\right)} x\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(b*log(c*x^n) + a)*x, x)","F",0
133,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x+d)^(1/2),x, algorithm=""giac"")","\int \sqrt{e x + d} {\left(b \log\left(c x^{n}\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(b*log(c*x^n) + a), x)","F",0
134,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x+d)^(1/2)/x,x, algorithm=""giac"")","\int \frac{\sqrt{e x + d} {\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(b*log(c*x^n) + a)/x, x)","F",0
135,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x+d)^(1/2)/x^2,x, algorithm=""giac"")","\int \frac{\sqrt{e x + d} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(b*log(c*x^n) + a)/x^2, x)","F",0
136,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x+d)^(1/2)/x^3,x, algorithm=""giac"")","\int \frac{\sqrt{e x + d} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(e*x + d)*(b*log(c*x^n) + a)/x^3, x)","F",0
137,0,0,0,0.000000," ","integrate(x^3*(e*x+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\int {\left(e x + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)} x^{3}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(b*log(c*x^n) + a)*x^3, x)","F",0
138,0,0,0,0.000000," ","integrate(x^2*(e*x+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\int {\left(e x + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)} x^{2}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(b*log(c*x^n) + a)*x^2, x)","F",0
139,0,0,0,0.000000," ","integrate(x*(e*x+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\int {\left(e x + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)} x\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(b*log(c*x^n) + a)*x, x)","F",0
140,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\int {\left(e x + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(b*log(c*x^n) + a), x)","F",0
141,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(b*log(c*x^n) + a)/x, x)","F",0
142,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{2}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(b*log(c*x^n) + a)/x^2, x)","F",0
143,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(a+b*log(c*x^n))/x^3,x, algorithm=""giac"")","\int \frac{{\left(e x + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{3}}\,{d x}"," ",0,"integrate((e*x + d)^(3/2)*(b*log(c*x^n) + a)/x^3, x)","F",0
144,1,275,0,0.834731," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{64 \, b d^{4} n \arctan\left(\frac{\sqrt{x e + d}}{\sqrt{-d}}\right) e^{\left(-4\right)}}{35 \, \sqrt{-d}} + \frac{2}{3675} \, {\left(525 \, {\left(x e + d\right)}^{\frac{7}{2}} b n \log\left(x e\right) - 2205 \, {\left(x e + d\right)}^{\frac{5}{2}} b d n \log\left(x e\right) + 3675 \, {\left(x e + d\right)}^{\frac{3}{2}} b d^{2} n \log\left(x e\right) - 3675 \, \sqrt{x e + d} b d^{3} n \log\left(x e\right) - 675 \, {\left(x e + d\right)}^{\frac{7}{2}} b n + 2877 \, {\left(x e + d\right)}^{\frac{5}{2}} b d n - 5005 \, {\left(x e + d\right)}^{\frac{3}{2}} b d^{2} n + 7035 \, \sqrt{x e + d} b d^{3} n + 525 \, {\left(x e + d\right)}^{\frac{7}{2}} b \log\left(c\right) - 2205 \, {\left(x e + d\right)}^{\frac{5}{2}} b d \log\left(c\right) + 3675 \, {\left(x e + d\right)}^{\frac{3}{2}} b d^{2} \log\left(c\right) - 3675 \, \sqrt{x e + d} b d^{3} \log\left(c\right) + 525 \, {\left(x e + d\right)}^{\frac{7}{2}} a - 2205 \, {\left(x e + d\right)}^{\frac{5}{2}} a d + 3675 \, {\left(x e + d\right)}^{\frac{3}{2}} a d^{2} - 3675 \, \sqrt{x e + d} a d^{3}\right)} e^{\left(-4\right)}"," ",0,"64/35*b*d^4*n*arctan(sqrt(x*e + d)/sqrt(-d))*e^(-4)/sqrt(-d) + 2/3675*(525*(x*e + d)^(7/2)*b*n*log(x*e) - 2205*(x*e + d)^(5/2)*b*d*n*log(x*e) + 3675*(x*e + d)^(3/2)*b*d^2*n*log(x*e) - 3675*sqrt(x*e + d)*b*d^3*n*log(x*e) - 675*(x*e + d)^(7/2)*b*n + 2877*(x*e + d)^(5/2)*b*d*n - 5005*(x*e + d)^(3/2)*b*d^2*n + 7035*sqrt(x*e + d)*b*d^3*n + 525*(x*e + d)^(7/2)*b*log(c) - 2205*(x*e + d)^(5/2)*b*d*log(c) + 3675*(x*e + d)^(3/2)*b*d^2*log(c) - 3675*sqrt(x*e + d)*b*d^3*log(c) + 525*(x*e + d)^(7/2)*a - 2205*(x*e + d)^(5/2)*a*d + 3675*(x*e + d)^(3/2)*a*d^2 - 3675*sqrt(x*e + d)*a*d^3)*e^(-4)","A",0
145,1,210,0,0.935177," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^(1/2),x, algorithm=""giac"")","-\frac{32 \, b d^{3} n \arctan\left(\frac{\sqrt{x e + d}}{\sqrt{-d}}\right) e^{\left(-3\right)}}{15 \, \sqrt{-d}} + \frac{2}{225} \, {\left(45 \, {\left(x e + d\right)}^{\frac{5}{2}} b n \log\left(x e\right) - 150 \, {\left(x e + d\right)}^{\frac{3}{2}} b d n \log\left(x e\right) + 225 \, \sqrt{x e + d} b d^{2} n \log\left(x e\right) - 63 \, {\left(x e + d\right)}^{\frac{5}{2}} b n + 220 \, {\left(x e + d\right)}^{\frac{3}{2}} b d n - 465 \, \sqrt{x e + d} b d^{2} n + 45 \, {\left(x e + d\right)}^{\frac{5}{2}} b \log\left(c\right) - 150 \, {\left(x e + d\right)}^{\frac{3}{2}} b d \log\left(c\right) + 225 \, \sqrt{x e + d} b d^{2} \log\left(c\right) + 45 \, {\left(x e + d\right)}^{\frac{5}{2}} a - 150 \, {\left(x e + d\right)}^{\frac{3}{2}} a d + 225 \, \sqrt{x e + d} a d^{2}\right)} e^{\left(-3\right)}"," ",0,"-32/15*b*d^3*n*arctan(sqrt(x*e + d)/sqrt(-d))*e^(-3)/sqrt(-d) + 2/225*(45*(x*e + d)^(5/2)*b*n*log(x*e) - 150*(x*e + d)^(3/2)*b*d*n*log(x*e) + 225*sqrt(x*e + d)*b*d^2*n*log(x*e) - 63*(x*e + d)^(5/2)*b*n + 220*(x*e + d)^(3/2)*b*d*n - 465*sqrt(x*e + d)*b*d^2*n + 45*(x*e + d)^(5/2)*b*log(c) - 150*(x*e + d)^(3/2)*b*d*log(c) + 225*sqrt(x*e + d)*b*d^2*log(c) + 45*(x*e + d)^(5/2)*a - 150*(x*e + d)^(3/2)*a*d + 225*sqrt(x*e + d)*a*d^2)*e^(-3)","A",0
146,1,145,0,0.755352," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^(1/2),x, algorithm=""giac"")","\frac{8 \, b d^{2} n \arctan\left(\frac{\sqrt{x e + d}}{\sqrt{-d}}\right) e^{\left(-2\right)}}{3 \, \sqrt{-d}} + \frac{2}{9} \, {\left(3 \, {\left(x e + d\right)}^{\frac{3}{2}} b n \log\left(x e\right) - 9 \, \sqrt{x e + d} b d n \log\left(x e\right) - 5 \, {\left(x e + d\right)}^{\frac{3}{2}} b n + 21 \, \sqrt{x e + d} b d n + 3 \, {\left(x e + d\right)}^{\frac{3}{2}} b \log\left(c\right) - 9 \, \sqrt{x e + d} b d \log\left(c\right) + 3 \, {\left(x e + d\right)}^{\frac{3}{2}} a - 9 \, \sqrt{x e + d} a d\right)} e^{\left(-2\right)}"," ",0,"8/3*b*d^2*n*arctan(sqrt(x*e + d)/sqrt(-d))*e^(-2)/sqrt(-d) + 2/9*(3*(x*e + d)^(3/2)*b*n*log(x*e) - 9*sqrt(x*e + d)*b*d*n*log(x*e) - 5*(x*e + d)^(3/2)*b*n + 21*sqrt(x*e + d)*b*d*n + 3*(x*e + d)^(3/2)*b*log(c) - 9*sqrt(x*e + d)*b*d*log(c) + 3*(x*e + d)^(3/2)*a - 9*sqrt(x*e + d)*a*d)*e^(-2)","A",0
147,1,78,0,0.339288," ","integrate((a+b*log(c*x^n))/(e*x+d)^(1/2),x, algorithm=""giac"")","-2 \, {\left({\left(\frac{2 \, d \arctan\left(\frac{\sqrt{x e + d}}{\sqrt{-d}}\right)}{\sqrt{-d}} - \sqrt{x e + d} \log\left(x\right) + 2 \, \sqrt{x e + d}\right)} b n - \sqrt{x e + d} b \log\left(c\right) - \sqrt{x e + d} a\right)} e^{\left(-1\right)}"," ",0,"-2*((2*d*arctan(sqrt(x*e + d)/sqrt(-d))/sqrt(-d) - sqrt(x*e + d)*log(x) + 2*sqrt(x*e + d))*b*n - sqrt(x*e + d)*b*log(c) - sqrt(x*e + d)*a)*e^(-1)","A",0
148,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x + d} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x + d)*x), x)","F",0
149,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x + d} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x + d)*x^2), x)","F",0
150,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x + d} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x + d)*x^3), x)","F",0
151,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(e*x + d)^(3/2), x)","F",0
152,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{{\left(e x + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*x + d)^(3/2), x)","F",0
153,1,105,0,0.344322," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^(3/2),x, algorithm=""giac"")","-\frac{8 \, b d n \arctan\left(\frac{\sqrt{x e + d}}{\sqrt{-d}}\right) e^{\left(-2\right)}}{\sqrt{-d}} + \frac{2 \, {\left({\left(x e + d\right)} b n \log\left(x e\right) + b d n \log\left(x e\right) - 3 \, {\left(x e + d\right)} b n - b d n + {\left(x e + d\right)} b \log\left(c\right) + b d \log\left(c\right) + {\left(x e + d\right)} a + a d\right)} e^{\left(-2\right)}}{\sqrt{x e + d}}"," ",0,"-8*b*d*n*arctan(sqrt(x*e + d)/sqrt(-d))*e^(-2)/sqrt(-d) + 2*((x*e + d)*b*n*log(x*e) + b*d*n*log(x*e) - 3*(x*e + d)*b*n - b*d*n + (x*e + d)*b*log(c) + b*d*log(c) + (x*e + d)*a + a*d)*e^(-2)/sqrt(x*e + d)","A",0
154,1,57,0,0.337771," ","integrate((a+b*log(c*x^n))/(e*x+d)^(3/2),x, algorithm=""giac"")","\frac{4 \, b n \arctan\left(\frac{\sqrt{x e + d}}{\sqrt{-d}}\right) e^{\left(-1\right)}}{\sqrt{-d}} - \frac{2 \, {\left(b n \log\left(x e\right) - b n + b \log\left(c\right) + a\right)} e^{\left(-1\right)}}{\sqrt{x e + d}}"," ",0,"4*b*n*arctan(sqrt(x*e + d)/sqrt(-d))*e^(-1)/sqrt(-d) - 2*(b*n*log(x*e) - b*n + b*log(c) + a)*e^(-1)/sqrt(x*e + d)","A",0
155,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^(3/2)*x), x)","F",0
156,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x + d\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x + d)^(3/2)*x^2), x)","F",0
157,0,0,0,0.000000," ","integrate(x^2/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(e x + d\right)} {\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(x^2/((e*x + d)*(b*log(c*x^n) + a)), x)","F",0
158,0,0,0,0.000000," ","integrate(x/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{x}{{\left(e x + d\right)} {\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(x/((e*x + d)*(b*log(c*x^n) + a)), x)","F",0
159,0,0,0,0.000000," ","integrate(1/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(e x + d\right)} {\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((e*x + d)*(b*log(c*x^n) + a)), x)","F",0
160,0,0,0,0.000000," ","integrate(1/x/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(e x + d\right)} {\left(b \log\left(c x^{n}\right) + a\right)} x}\,{d x}"," ",0,"integrate(1/((e*x + d)*(b*log(c*x^n) + a)*x), x)","F",0
161,0,0,0,0.000000," ","integrate(1/x^2/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(e x + d\right)} {\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((e*x + d)*(b*log(c*x^n) + a)*x^2), x)","F",0
162,1,531,0,0.499447," ","integrate((f*x)^m*(e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b f^{3} f^{m} x^{4} x^{m} e^{3} \log\left(c\right)}{f^{3} m + 4 \, f^{3}} + \frac{a f^{3} f^{m} x^{4} x^{m} e^{3}}{f^{3} m + 4 \, f^{3}} + \frac{3 \, b d f^{2} f^{m} x^{3} x^{m} e^{2} \log\left(c\right)}{f^{2} m + 3 \, f^{2}} + \frac{b f^{m} m n x^{4} x^{m} e^{3} \log\left(x\right)}{m^{2} + 8 \, m + 16} + \frac{3 \, b d f^{m} m n x^{3} x^{m} e^{2} \log\left(x\right)}{m^{2} + 6 \, m + 9} + \frac{3 \, b d^{2} f^{m} m n x^{2} x^{m} e \log\left(x\right)}{m^{2} + 4 \, m + 4} + \frac{3 \, a d f^{2} f^{m} x^{3} x^{m} e^{2}}{f^{2} m + 3 \, f^{2}} + \frac{b d^{3} f^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{4 \, b f^{m} n x^{4} x^{m} e^{3} \log\left(x\right)}{m^{2} + 8 \, m + 16} + \frac{9 \, b d f^{m} n x^{3} x^{m} e^{2} \log\left(x\right)}{m^{2} + 6 \, m + 9} + \frac{6 \, b d^{2} f^{m} n x^{2} x^{m} e \log\left(x\right)}{m^{2} + 4 \, m + 4} - \frac{b f^{m} n x^{4} x^{m} e^{3}}{m^{2} + 8 \, m + 16} - \frac{3 \, b d f^{m} n x^{3} x^{m} e^{2}}{m^{2} + 6 \, m + 9} - \frac{3 \, b d^{2} f^{m} n x^{2} x^{m} e}{m^{2} + 4 \, m + 4} + \frac{3 \, b d^{2} f^{m} x^{2} x^{m} e \log\left(c\right)}{m + 2} + \frac{b d^{3} f^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{b d^{3} f^{m} n x x^{m}}{m^{2} + 2 \, m + 1} + \frac{3 \, a d^{2} f^{m} x^{2} x^{m} e}{m + 2} + \frac{\left(f x\right)^{m} b d^{3} x \log\left(c\right)}{m + 1} + \frac{\left(f x\right)^{m} a d^{3} x}{m + 1}"," ",0,"b*f^3*f^m*x^4*x^m*e^3*log(c)/(f^3*m + 4*f^3) + a*f^3*f^m*x^4*x^m*e^3/(f^3*m + 4*f^3) + 3*b*d*f^2*f^m*x^3*x^m*e^2*log(c)/(f^2*m + 3*f^2) + b*f^m*m*n*x^4*x^m*e^3*log(x)/(m^2 + 8*m + 16) + 3*b*d*f^m*m*n*x^3*x^m*e^2*log(x)/(m^2 + 6*m + 9) + 3*b*d^2*f^m*m*n*x^2*x^m*e*log(x)/(m^2 + 4*m + 4) + 3*a*d*f^2*f^m*x^3*x^m*e^2/(f^2*m + 3*f^2) + b*d^3*f^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + 4*b*f^m*n*x^4*x^m*e^3*log(x)/(m^2 + 8*m + 16) + 9*b*d*f^m*n*x^3*x^m*e^2*log(x)/(m^2 + 6*m + 9) + 6*b*d^2*f^m*n*x^2*x^m*e*log(x)/(m^2 + 4*m + 4) - b*f^m*n*x^4*x^m*e^3/(m^2 + 8*m + 16) - 3*b*d*f^m*n*x^3*x^m*e^2/(m^2 + 6*m + 9) - 3*b*d^2*f^m*n*x^2*x^m*e/(m^2 + 4*m + 4) + 3*b*d^2*f^m*x^2*x^m*e*log(c)/(m + 2) + b*d^3*f^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - b*d^3*f^m*n*x*x^m/(m^2 + 2*m + 1) + 3*a*d^2*f^m*x^2*x^m*e/(m + 2) + (f*x)^m*b*d^3*x*log(c)/(m + 1) + (f*x)^m*a*d^3*x/(m + 1)","B",0
163,1,374,0,0.546918," ","integrate((f*x)^m*(e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b f^{2} f^{m} x^{3} x^{m} e^{2} \log\left(c\right)}{f^{2} m + 3 \, f^{2}} + \frac{b f^{m} m n x^{3} x^{m} e^{2} \log\left(x\right)}{m^{2} + 6 \, m + 9} + \frac{2 \, b d f^{m} m n x^{2} x^{m} e \log\left(x\right)}{m^{2} + 4 \, m + 4} + \frac{a f^{2} f^{m} x^{3} x^{m} e^{2}}{f^{2} m + 3 \, f^{2}} + \frac{b d^{2} f^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{3 \, b f^{m} n x^{3} x^{m} e^{2} \log\left(x\right)}{m^{2} + 6 \, m + 9} + \frac{4 \, b d f^{m} n x^{2} x^{m} e \log\left(x\right)}{m^{2} + 4 \, m + 4} - \frac{b f^{m} n x^{3} x^{m} e^{2}}{m^{2} + 6 \, m + 9} - \frac{2 \, b d f^{m} n x^{2} x^{m} e}{m^{2} + 4 \, m + 4} + \frac{2 \, b d f^{m} x^{2} x^{m} e \log\left(c\right)}{m + 2} + \frac{b d^{2} f^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{b d^{2} f^{m} n x x^{m}}{m^{2} + 2 \, m + 1} + \frac{2 \, a d f^{m} x^{2} x^{m} e}{m + 2} + \frac{\left(f x\right)^{m} b d^{2} x \log\left(c\right)}{m + 1} + \frac{\left(f x\right)^{m} a d^{2} x}{m + 1}"," ",0,"b*f^2*f^m*x^3*x^m*e^2*log(c)/(f^2*m + 3*f^2) + b*f^m*m*n*x^3*x^m*e^2*log(x)/(m^2 + 6*m + 9) + 2*b*d*f^m*m*n*x^2*x^m*e*log(x)/(m^2 + 4*m + 4) + a*f^2*f^m*x^3*x^m*e^2/(f^2*m + 3*f^2) + b*d^2*f^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + 3*b*f^m*n*x^3*x^m*e^2*log(x)/(m^2 + 6*m + 9) + 4*b*d*f^m*n*x^2*x^m*e*log(x)/(m^2 + 4*m + 4) - b*f^m*n*x^3*x^m*e^2/(m^2 + 6*m + 9) - 2*b*d*f^m*n*x^2*x^m*e/(m^2 + 4*m + 4) + 2*b*d*f^m*x^2*x^m*e*log(c)/(m + 2) + b*d^2*f^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - b*d^2*f^m*n*x*x^m/(m^2 + 2*m + 1) + 2*a*d*f^m*x^2*x^m*e/(m + 2) + (f*x)^m*b*d^2*x*log(c)/(m + 1) + (f*x)^m*a*d^2*x/(m + 1)","B",0
164,1,217,0,0.367162," ","integrate((f*x)^m*(e*x+d)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b f^{m} m n x^{2} x^{m} e \log\left(x\right)}{m^{2} + 4 \, m + 4} + \frac{b d f^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{2 \, b f^{m} n x^{2} x^{m} e \log\left(x\right)}{m^{2} + 4 \, m + 4} - \frac{b f^{m} n x^{2} x^{m} e}{m^{2} + 4 \, m + 4} + \frac{b f^{m} x^{2} x^{m} e \log\left(c\right)}{m + 2} + \frac{b d f^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{b d f^{m} n x x^{m}}{m^{2} + 2 \, m + 1} + \frac{a f^{m} x^{2} x^{m} e}{m + 2} + \frac{\left(f x\right)^{m} b d x \log\left(c\right)}{m + 1} + \frac{\left(f x\right)^{m} a d x}{m + 1}"," ",0,"b*f^m*m*n*x^2*x^m*e*log(x)/(m^2 + 4*m + 4) + b*d*f^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + 2*b*f^m*n*x^2*x^m*e*log(x)/(m^2 + 4*m + 4) - b*f^m*n*x^2*x^m*e/(m^2 + 4*m + 4) + b*f^m*x^2*x^m*e*log(c)/(m + 2) + b*d*f^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - b*d*f^m*n*x*x^m/(m^2 + 2*m + 1) + a*f^m*x^2*x^m*e/(m + 2) + (f*x)^m*b*d*x*log(c)/(m + 1) + (f*x)^m*a*d*x/(m + 1)","B",0
165,1,95,0,0.360278," ","integrate((f*x)^m*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b f^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{b f^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{b f^{m} n x x^{m}}{m^{2} + 2 \, m + 1} + \frac{\left(f x\right)^{m} b x \log\left(c\right)}{m + 1} + \frac{\left(f x\right)^{m} a x}{m + 1}"," ",0,"b*f^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + b*f^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - b*f^m*n*x*x^m/(m^2 + 2*m + 1) + (f*x)^m*b*x*log(c)/(m + 1) + (f*x)^m*a*x/(m + 1)","B",0
166,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))/(e*x+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \left(f x\right)^{m}}{e x + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(f*x)^m/(e*x + d), x)","F",0
167,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \left(f x\right)^{m}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(f*x)^m/(e*x + d)^2, x)","F",0
168,0,0,0,0.000000," ","integrate(x*(b*x+a)^m*log(c*x^n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} x \log\left(c x^{n}\right)\,{d x}"," ",0,"integrate((b*x + a)^m*x*log(c*x^n), x)","F",0
169,0,0,0,0.000000," ","integrate((b*x+a)^m*log(c*x^n),x, algorithm=""giac"")","\int {\left(b x + a\right)}^{m} \log\left(c x^{n}\right)\,{d x}"," ",0,"integrate((b*x + a)^m*log(c*x^n), x)","F",0
170,-2,0,0,0.000000," ","integrate((b*x+a)^m*log(c*x^n)/x,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Simplification assuming a near 0Simplification assuming a near 0Unable to divide, perhaps due to rounding error%%%{1,[0,1,0]%%%} / %%%{1,[0,0,1]%%%} Error: Bad Argument Value","F(-2)",0
171,1,73,0,0.357339," ","integrate(x^5*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{8} \, b n x^{8} e \log\left(x\right) - \frac{1}{64} \, b n x^{8} e + \frac{1}{8} \, b x^{8} e \log\left(c\right) + \frac{1}{8} \, a x^{8} e + \frac{1}{6} \, b d n x^{6} \log\left(x\right) - \frac{1}{36} \, b d n x^{6} + \frac{1}{6} \, b d x^{6} \log\left(c\right) + \frac{1}{6} \, a d x^{6}"," ",0,"1/8*b*n*x^8*e*log(x) - 1/64*b*n*x^8*e + 1/8*b*x^8*e*log(c) + 1/8*a*x^8*e + 1/6*b*d*n*x^6*log(x) - 1/36*b*d*n*x^6 + 1/6*b*d*x^6*log(c) + 1/6*a*d*x^6","A",0
172,1,73,0,0.267403," ","integrate(x^3*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{6} \, b n x^{6} e \log\left(x\right) - \frac{1}{36} \, b n x^{6} e + \frac{1}{6} \, b x^{6} e \log\left(c\right) + \frac{1}{6} \, a x^{6} e + \frac{1}{4} \, b d n x^{4} \log\left(x\right) - \frac{1}{16} \, b d n x^{4} + \frac{1}{4} \, b d x^{4} \log\left(c\right) + \frac{1}{4} \, a d x^{4}"," ",0,"1/6*b*n*x^6*e*log(x) - 1/36*b*n*x^6*e + 1/6*b*x^6*e*log(c) + 1/6*a*x^6*e + 1/4*b*d*n*x^4*log(x) - 1/16*b*d*n*x^4 + 1/4*b*d*x^4*log(c) + 1/4*a*d*x^4","A",0
173,1,73,0,0.360204," ","integrate(x*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{4} \, b n x^{4} e \log\left(x\right) - \frac{1}{16} \, b n x^{4} e + \frac{1}{4} \, b x^{4} e \log\left(c\right) + \frac{1}{4} \, a x^{4} e + \frac{1}{2} \, b d n x^{2} \log\left(x\right) - \frac{1}{4} \, b d n x^{2} + \frac{1}{2} \, b d x^{2} \log\left(c\right) + \frac{1}{2} \, a d x^{2}"," ",0,"1/4*b*n*x^4*e*log(x) - 1/16*b*n*x^4*e + 1/4*b*x^4*e*log(c) + 1/4*a*x^4*e + 1/2*b*d*n*x^2*log(x) - 1/4*b*d*n*x^2 + 1/2*b*d*x^2*log(c) + 1/2*a*d*x^2","A",0
174,1,60,0,0.319850," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{1}{2} \, b n x^{2} e \log\left(x\right) - \frac{1}{4} \, b n x^{2} e + \frac{1}{2} \, b x^{2} e \log\left(c\right) + \frac{1}{2} \, b d n \log\left(x\right)^{2} + \frac{1}{2} \, a x^{2} e + b d \log\left(c\right) \log\left(x\right) + a d \log\left(x\right)"," ",0,"1/2*b*n*x^2*e*log(x) - 1/4*b*n*x^2*e + 1/2*b*x^2*e*log(c) + 1/2*b*d*n*log(x)^2 + 1/2*a*x^2*e + b*d*log(c)*log(x) + a*d*log(x)","A",0
175,1,63,0,0.314929," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^3,x, algorithm=""giac"")","\frac{2 \, b n x^{2} e \log\left(x\right)^{2} + 4 \, b x^{2} e \log\left(c\right) \log\left(x\right) + 4 \, a x^{2} e \log\left(x\right) - 2 \, b d n \log\left(x\right) - b d n - 2 \, b d \log\left(c\right) - 2 \, a d}{4 \, x^{2}}"," ",0,"1/4*(2*b*n*x^2*e*log(x)^2 + 4*b*x^2*e*log(c)*log(x) + 4*a*x^2*e*log(x) - 2*b*d*n*log(x) - b*d*n - 2*b*d*log(c) - 2*a*d)/x^2","A",0
176,1,65,0,0.277828," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^5,x, algorithm=""giac"")","-\frac{8 \, b n x^{2} e \log\left(x\right) + 4 \, b n x^{2} e + 8 \, b x^{2} e \log\left(c\right) + 8 \, a x^{2} e + 4 \, b d n \log\left(x\right) + b d n + 4 \, b d \log\left(c\right) + 4 \, a d}{16 \, x^{4}}"," ",0,"-1/16*(8*b*n*x^2*e*log(x) + 4*b*n*x^2*e + 8*b*x^2*e*log(c) + 8*a*x^2*e + 4*b*d*n*log(x) + b*d*n + 4*b*d*log(c) + 4*a*d)/x^4","A",0
177,1,73,0,0.378122," ","integrate(x^4*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{7} \, b n x^{7} e \log\left(x\right) - \frac{1}{49} \, b n x^{7} e + \frac{1}{7} \, b x^{7} e \log\left(c\right) + \frac{1}{7} \, a x^{7} e + \frac{1}{5} \, b d n x^{5} \log\left(x\right) - \frac{1}{25} \, b d n x^{5} + \frac{1}{5} \, b d x^{5} \log\left(c\right) + \frac{1}{5} \, a d x^{5}"," ",0,"1/7*b*n*x^7*e*log(x) - 1/49*b*n*x^7*e + 1/7*b*x^7*e*log(c) + 1/7*a*x^7*e + 1/5*b*d*n*x^5*log(x) - 1/25*b*d*n*x^5 + 1/5*b*d*x^5*log(c) + 1/5*a*d*x^5","A",0
178,1,73,0,0.364709," ","integrate(x^2*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{5} \, b n x^{5} e \log\left(x\right) - \frac{1}{25} \, b n x^{5} e + \frac{1}{5} \, b x^{5} e \log\left(c\right) + \frac{1}{5} \, a x^{5} e + \frac{1}{3} \, b d n x^{3} \log\left(x\right) - \frac{1}{9} \, b d n x^{3} + \frac{1}{3} \, b d x^{3} \log\left(c\right) + \frac{1}{3} \, a d x^{3}"," ",0,"1/5*b*n*x^5*e*log(x) - 1/25*b*n*x^5*e + 1/5*b*x^5*e*log(c) + 1/5*a*x^5*e + 1/3*b*d*n*x^3*log(x) - 1/9*b*d*n*x^3 + 1/3*b*d*x^3*log(c) + 1/3*a*d*x^3","A",0
179,1,62,0,0.243386," ","integrate((e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{3} \, b n x^{3} e \log\left(x\right) - \frac{1}{9} \, b n x^{3} e + \frac{1}{3} \, b x^{3} e \log\left(c\right) + \frac{1}{3} \, a x^{3} e + b d n x \log\left(x\right) - b d n x + b d x \log\left(c\right) + a d x"," ",0,"1/3*b*n*x^3*e*log(x) - 1/9*b*n*x^3*e + 1/3*b*x^3*e*log(c) + 1/3*a*x^3*e + b*d*n*x*log(x) - b*d*n*x + b*d*x*log(c) + a*d*x","A",0
180,1,62,0,0.354711," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\frac{b n x^{2} e \log\left(x\right) - b n x^{2} e + b x^{2} e \log\left(c\right) + a x^{2} e - b d n \log\left(x\right) - b d n - b d \log\left(c\right) - a d}{x}"," ",0,"(b*n*x^2*e*log(x) - b*n*x^2*e + b*x^2*e*log(c) + a*x^2*e - b*d*n*log(x) - b*d*n - b*d*log(c) - a*d)/x","A",0
181,1,65,0,0.269796," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^4,x, algorithm=""giac"")","-\frac{9 \, b n x^{2} e \log\left(x\right) + 9 \, b n x^{2} e + 9 \, b x^{2} e \log\left(c\right) + 9 \, a x^{2} e + 3 \, b d n \log\left(x\right) + b d n + 3 \, b d \log\left(c\right) + 3 \, a d}{9 \, x^{3}}"," ",0,"-1/9*(9*b*n*x^2*e*log(x) + 9*b*n*x^2*e + 9*b*x^2*e*log(c) + 9*a*x^2*e + 3*b*d*n*log(x) + b*d*n + 3*b*d*log(c) + 3*a*d)/x^3","A",0
182,1,66,0,0.279980," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^6,x, algorithm=""giac"")","-\frac{75 \, b n x^{2} e \log\left(x\right) + 25 \, b n x^{2} e + 75 \, b x^{2} e \log\left(c\right) + 75 \, a x^{2} e + 45 \, b d n \log\left(x\right) + 9 \, b d n + 45 \, b d \log\left(c\right) + 45 \, a d}{225 \, x^{5}}"," ",0,"-1/225*(75*b*n*x^2*e*log(x) + 25*b*n*x^2*e + 75*b*x^2*e*log(c) + 75*a*x^2*e + 45*b*d*n*log(x) + 9*b*d*n + 45*b*d*log(c) + 45*a*d)/x^5","A",0
183,1,123,0,0.241925," ","integrate(x^5*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{10} \, b n x^{10} e^{2} \log\left(x\right) - \frac{1}{100} \, b n x^{10} e^{2} + \frac{1}{10} \, b x^{10} e^{2} \log\left(c\right) + \frac{1}{4} \, b d n x^{8} e \log\left(x\right) + \frac{1}{10} \, a x^{10} e^{2} - \frac{1}{32} \, b d n x^{8} e + \frac{1}{4} \, b d x^{8} e \log\left(c\right) + \frac{1}{4} \, a d x^{8} e + \frac{1}{6} \, b d^{2} n x^{6} \log\left(x\right) - \frac{1}{36} \, b d^{2} n x^{6} + \frac{1}{6} \, b d^{2} x^{6} \log\left(c\right) + \frac{1}{6} \, a d^{2} x^{6}"," ",0,"1/10*b*n*x^10*e^2*log(x) - 1/100*b*n*x^10*e^2 + 1/10*b*x^10*e^2*log(c) + 1/4*b*d*n*x^8*e*log(x) + 1/10*a*x^10*e^2 - 1/32*b*d*n*x^8*e + 1/4*b*d*x^8*e*log(c) + 1/4*a*d*x^8*e + 1/6*b*d^2*n*x^6*log(x) - 1/36*b*d^2*n*x^6 + 1/6*b*d^2*x^6*log(c) + 1/6*a*d^2*x^6","A",0
184,1,123,0,0.331232," ","integrate(x^3*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{8} \, b n x^{8} e^{2} \log\left(x\right) - \frac{1}{64} \, b n x^{8} e^{2} + \frac{1}{8} \, b x^{8} e^{2} \log\left(c\right) + \frac{1}{3} \, b d n x^{6} e \log\left(x\right) + \frac{1}{8} \, a x^{8} e^{2} - \frac{1}{18} \, b d n x^{6} e + \frac{1}{3} \, b d x^{6} e \log\left(c\right) + \frac{1}{3} \, a d x^{6} e + \frac{1}{4} \, b d^{2} n x^{4} \log\left(x\right) - \frac{1}{16} \, b d^{2} n x^{4} + \frac{1}{4} \, b d^{2} x^{4} \log\left(c\right) + \frac{1}{4} \, a d^{2} x^{4}"," ",0,"1/8*b*n*x^8*e^2*log(x) - 1/64*b*n*x^8*e^2 + 1/8*b*x^8*e^2*log(c) + 1/3*b*d*n*x^6*e*log(x) + 1/8*a*x^8*e^2 - 1/18*b*d*n*x^6*e + 1/3*b*d*x^6*e*log(c) + 1/3*a*d*x^6*e + 1/4*b*d^2*n*x^4*log(x) - 1/16*b*d^2*n*x^4 + 1/4*b*d^2*x^4*log(c) + 1/4*a*d^2*x^4","A",0
185,1,123,0,0.331299," ","integrate(x*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{6} \, b n x^{6} e^{2} \log\left(x\right) - \frac{1}{36} \, b n x^{6} e^{2} + \frac{1}{6} \, b x^{6} e^{2} \log\left(c\right) + \frac{1}{2} \, b d n x^{4} e \log\left(x\right) + \frac{1}{6} \, a x^{6} e^{2} - \frac{1}{8} \, b d n x^{4} e + \frac{1}{2} \, b d x^{4} e \log\left(c\right) + \frac{1}{2} \, a d x^{4} e + \frac{1}{2} \, b d^{2} n x^{2} \log\left(x\right) - \frac{1}{4} \, b d^{2} n x^{2} + \frac{1}{2} \, b d^{2} x^{2} \log\left(c\right) + \frac{1}{2} \, a d^{2} x^{2}"," ",0,"1/6*b*n*x^6*e^2*log(x) - 1/36*b*n*x^6*e^2 + 1/6*b*x^6*e^2*log(c) + 1/2*b*d*n*x^4*e*log(x) + 1/6*a*x^6*e^2 - 1/8*b*d*n*x^4*e + 1/2*b*d*x^4*e*log(c) + 1/2*a*d*x^4*e + 1/2*b*d^2*n*x^2*log(x) - 1/4*b*d^2*n*x^2 + 1/2*b*d^2*x^2*log(c) + 1/2*a*d^2*x^2","A",0
186,1,105,0,0.300915," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{1}{4} \, b n x^{4} e^{2} \log\left(x\right) - \frac{1}{16} \, b n x^{4} e^{2} + \frac{1}{4} \, b x^{4} e^{2} \log\left(c\right) + b d n x^{2} e \log\left(x\right) + \frac{1}{4} \, a x^{4} e^{2} - \frac{1}{2} \, b d n x^{2} e + b d x^{2} e \log\left(c\right) + \frac{1}{2} \, b d^{2} n \log\left(x\right)^{2} + a d x^{2} e + b d^{2} \log\left(c\right) \log\left(x\right) + a d^{2} \log\left(x\right)"," ",0,"1/4*b*n*x^4*e^2*log(x) - 1/16*b*n*x^4*e^2 + 1/4*b*x^4*e^2*log(c) + b*d*n*x^2*e*log(x) + 1/4*a*x^4*e^2 - 1/2*b*d*n*x^2*e + b*d*x^2*e*log(c) + 1/2*b*d^2*n*log(x)^2 + a*d*x^2*e + b*d^2*log(c)*log(x) + a*d^2*log(x)","A",0
187,1,112,0,0.260675," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^3,x, algorithm=""giac"")","\frac{2 \, b n x^{4} e^{2} \log\left(x\right) + 4 \, b d n x^{2} e \log\left(x\right)^{2} - b n x^{4} e^{2} + 2 \, b x^{4} e^{2} \log\left(c\right) + 8 \, b d x^{2} e \log\left(c\right) \log\left(x\right) + 2 \, a x^{4} e^{2} + 8 \, a d x^{2} e \log\left(x\right) - 2 \, b d^{2} n \log\left(x\right) - b d^{2} n - 2 \, b d^{2} \log\left(c\right) - 2 \, a d^{2}}{4 \, x^{2}}"," ",0,"1/4*(2*b*n*x^4*e^2*log(x) + 4*b*d*n*x^2*e*log(x)^2 - b*n*x^4*e^2 + 2*b*x^4*e^2*log(c) + 8*b*d*x^2*e*log(c)*log(x) + 2*a*x^4*e^2 + 8*a*d*x^2*e*log(x) - 2*b*d^2*n*log(x) - b*d^2*n - 2*b*d^2*log(c) - 2*a*d^2)/x^2","A",0
188,1,113,0,0.312296," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^5,x, algorithm=""giac"")","\frac{8 \, b n x^{4} e^{2} \log\left(x\right)^{2} + 16 \, b x^{4} e^{2} \log\left(c\right) \log\left(x\right) + 16 \, a x^{4} e^{2} \log\left(x\right) - 16 \, b d n x^{2} e \log\left(x\right) - 8 \, b d n x^{2} e - 16 \, b d x^{2} e \log\left(c\right) - 16 \, a d x^{2} e - 4 \, b d^{2} n \log\left(x\right) - b d^{2} n - 4 \, b d^{2} \log\left(c\right) - 4 \, a d^{2}}{16 \, x^{4}}"," ",0,"1/16*(8*b*n*x^4*e^2*log(x)^2 + 16*b*x^4*e^2*log(c)*log(x) + 16*a*x^4*e^2*log(x) - 16*b*d*n*x^2*e*log(x) - 8*b*d*n*x^2*e - 16*b*d*x^2*e*log(c) - 16*a*d*x^2*e - 4*b*d^2*n*log(x) - b*d^2*n - 4*b*d^2*log(c) - 4*a*d^2)/x^4","A",0
189,1,123,0,0.386183," ","integrate(x^4*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{9} \, b n x^{9} e^{2} \log\left(x\right) - \frac{1}{81} \, b n x^{9} e^{2} + \frac{1}{9} \, b x^{9} e^{2} \log\left(c\right) + \frac{2}{7} \, b d n x^{7} e \log\left(x\right) + \frac{1}{9} \, a x^{9} e^{2} - \frac{2}{49} \, b d n x^{7} e + \frac{2}{7} \, b d x^{7} e \log\left(c\right) + \frac{2}{7} \, a d x^{7} e + \frac{1}{5} \, b d^{2} n x^{5} \log\left(x\right) - \frac{1}{25} \, b d^{2} n x^{5} + \frac{1}{5} \, b d^{2} x^{5} \log\left(c\right) + \frac{1}{5} \, a d^{2} x^{5}"," ",0,"1/9*b*n*x^9*e^2*log(x) - 1/81*b*n*x^9*e^2 + 1/9*b*x^9*e^2*log(c) + 2/7*b*d*n*x^7*e*log(x) + 1/9*a*x^9*e^2 - 2/49*b*d*n*x^7*e + 2/7*b*d*x^7*e*log(c) + 2/7*a*d*x^7*e + 1/5*b*d^2*n*x^5*log(x) - 1/25*b*d^2*n*x^5 + 1/5*b*d^2*x^5*log(c) + 1/5*a*d^2*x^5","A",0
190,1,123,0,0.277022," ","integrate(x^2*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{7} \, b n x^{7} e^{2} \log\left(x\right) - \frac{1}{49} \, b n x^{7} e^{2} + \frac{1}{7} \, b x^{7} e^{2} \log\left(c\right) + \frac{2}{5} \, b d n x^{5} e \log\left(x\right) + \frac{1}{7} \, a x^{7} e^{2} - \frac{2}{25} \, b d n x^{5} e + \frac{2}{5} \, b d x^{5} e \log\left(c\right) + \frac{2}{5} \, a d x^{5} e + \frac{1}{3} \, b d^{2} n x^{3} \log\left(x\right) - \frac{1}{9} \, b d^{2} n x^{3} + \frac{1}{3} \, b d^{2} x^{3} \log\left(c\right) + \frac{1}{3} \, a d^{2} x^{3}"," ",0,"1/7*b*n*x^7*e^2*log(x) - 1/49*b*n*x^7*e^2 + 1/7*b*x^7*e^2*log(c) + 2/5*b*d*n*x^5*e*log(x) + 1/7*a*x^7*e^2 - 2/25*b*d*n*x^5*e + 2/5*b*d*x^5*e*log(c) + 2/5*a*d*x^5*e + 1/3*b*d^2*n*x^3*log(x) - 1/9*b*d^2*n*x^3 + 1/3*b*d^2*x^3*log(c) + 1/3*a*d^2*x^3","A",0
191,1,112,0,0.406545," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{5} \, b n x^{5} e^{2} \log\left(x\right) - \frac{1}{25} \, b n x^{5} e^{2} + \frac{1}{5} \, b x^{5} e^{2} \log\left(c\right) + \frac{2}{3} \, b d n x^{3} e \log\left(x\right) + \frac{1}{5} \, a x^{5} e^{2} - \frac{2}{9} \, b d n x^{3} e + \frac{2}{3} \, b d x^{3} e \log\left(c\right) + \frac{2}{3} \, a d x^{3} e + b d^{2} n x \log\left(x\right) - b d^{2} n x + b d^{2} x \log\left(c\right) + a d^{2} x"," ",0,"1/5*b*n*x^5*e^2*log(x) - 1/25*b*n*x^5*e^2 + 1/5*b*x^5*e^2*log(c) + 2/3*b*d*n*x^3*e*log(x) + 1/5*a*x^5*e^2 - 2/9*b*d*n*x^3*e + 2/3*b*d*x^3*e*log(c) + 2/3*a*d*x^3*e + b*d^2*n*x*log(x) - b*d^2*n*x + b*d^2*x*log(c) + a*d^2*x","A",0
192,1,116,0,0.305540," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\frac{3 \, b n x^{4} e^{2} \log\left(x\right) - b n x^{4} e^{2} + 3 \, b x^{4} e^{2} \log\left(c\right) + 18 \, b d n x^{2} e \log\left(x\right) + 3 \, a x^{4} e^{2} - 18 \, b d n x^{2} e + 18 \, b d x^{2} e \log\left(c\right) + 18 \, a d x^{2} e - 9 \, b d^{2} n \log\left(x\right) - 9 \, b d^{2} n - 9 \, b d^{2} \log\left(c\right) - 9 \, a d^{2}}{9 \, x}"," ",0,"1/9*(3*b*n*x^4*e^2*log(x) - b*n*x^4*e^2 + 3*b*x^4*e^2*log(c) + 18*b*d*n*x^2*e*log(x) + 3*a*x^4*e^2 - 18*b*d*n*x^2*e + 18*b*d*x^2*e*log(c) + 18*a*d*x^2*e - 9*b*d^2*n*log(x) - 9*b*d^2*n - 9*b*d^2*log(c) - 9*a*d^2)/x","A",0
193,1,116,0,0.280717," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^4,x, algorithm=""giac"")","\frac{9 \, b n x^{4} e^{2} \log\left(x\right) - 9 \, b n x^{4} e^{2} + 9 \, b x^{4} e^{2} \log\left(c\right) - 18 \, b d n x^{2} e \log\left(x\right) + 9 \, a x^{4} e^{2} - 18 \, b d n x^{2} e - 18 \, b d x^{2} e \log\left(c\right) - 18 \, a d x^{2} e - 3 \, b d^{2} n \log\left(x\right) - b d^{2} n - 3 \, b d^{2} \log\left(c\right) - 3 \, a d^{2}}{9 \, x^{3}}"," ",0,"1/9*(9*b*n*x^4*e^2*log(x) - 9*b*n*x^4*e^2 + 9*b*x^4*e^2*log(c) - 18*b*d*n*x^2*e*log(x) + 9*a*x^4*e^2 - 18*b*d*n*x^2*e - 18*b*d*x^2*e*log(c) - 18*a*d*x^2*e - 3*b*d^2*n*log(x) - b*d^2*n - 3*b*d^2*log(c) - 3*a*d^2)/x^3","A",0
194,1,116,0,0.262519," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^6,x, algorithm=""giac"")","-\frac{225 \, b n x^{4} e^{2} \log\left(x\right) + 225 \, b n x^{4} e^{2} + 225 \, b x^{4} e^{2} \log\left(c\right) + 150 \, b d n x^{2} e \log\left(x\right) + 225 \, a x^{4} e^{2} + 50 \, b d n x^{2} e + 150 \, b d x^{2} e \log\left(c\right) + 150 \, a d x^{2} e + 45 \, b d^{2} n \log\left(x\right) + 9 \, b d^{2} n + 45 \, b d^{2} \log\left(c\right) + 45 \, a d^{2}}{225 \, x^{5}}"," ",0,"-1/225*(225*b*n*x^4*e^2*log(x) + 225*b*n*x^4*e^2 + 225*b*x^4*e^2*log(c) + 150*b*d*n*x^2*e*log(x) + 225*a*x^4*e^2 + 50*b*d*n*x^2*e + 150*b*d*x^2*e*log(c) + 150*a*d*x^2*e + 45*b*d^2*n*log(x) + 9*b*d^2*n + 45*b*d^2*log(c) + 45*a*d^2)/x^5","A",0
195,1,116,0,0.286048," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^8,x, algorithm=""giac"")","-\frac{3675 \, b n x^{4} e^{2} \log\left(x\right) + 1225 \, b n x^{4} e^{2} + 3675 \, b x^{4} e^{2} \log\left(c\right) + 4410 \, b d n x^{2} e \log\left(x\right) + 3675 \, a x^{4} e^{2} + 882 \, b d n x^{2} e + 4410 \, b d x^{2} e \log\left(c\right) + 4410 \, a d x^{2} e + 1575 \, b d^{2} n \log\left(x\right) + 225 \, b d^{2} n + 1575 \, b d^{2} \log\left(c\right) + 1575 \, a d^{2}}{11025 \, x^{7}}"," ",0,"-1/11025*(3675*b*n*x^4*e^2*log(x) + 1225*b*n*x^4*e^2 + 3675*b*x^4*e^2*log(c) + 4410*b*d*n*x^2*e*log(x) + 3675*a*x^4*e^2 + 882*b*d*n*x^2*e + 4410*b*d*x^2*e*log(c) + 4410*a*d*x^2*e + 1575*b*d^2*n*log(x) + 225*b*d^2*n + 1575*b*d^2*log(c) + 1575*a*d^2)/x^7","A",0
196,1,173,0,0.296108," ","integrate(x^5*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{12} \, b n x^{12} e^{3} \log\left(x\right) - \frac{1}{144} \, b n x^{12} e^{3} + \frac{1}{12} \, b x^{12} e^{3} \log\left(c\right) + \frac{3}{10} \, b d n x^{10} e^{2} \log\left(x\right) + \frac{1}{12} \, a x^{12} e^{3} - \frac{3}{100} \, b d n x^{10} e^{2} + \frac{3}{10} \, b d x^{10} e^{2} \log\left(c\right) + \frac{3}{8} \, b d^{2} n x^{8} e \log\left(x\right) + \frac{3}{10} \, a d x^{10} e^{2} - \frac{3}{64} \, b d^{2} n x^{8} e + \frac{3}{8} \, b d^{2} x^{8} e \log\left(c\right) + \frac{3}{8} \, a d^{2} x^{8} e + \frac{1}{6} \, b d^{3} n x^{6} \log\left(x\right) - \frac{1}{36} \, b d^{3} n x^{6} + \frac{1}{6} \, b d^{3} x^{6} \log\left(c\right) + \frac{1}{6} \, a d^{3} x^{6}"," ",0,"1/12*b*n*x^12*e^3*log(x) - 1/144*b*n*x^12*e^3 + 1/12*b*x^12*e^3*log(c) + 3/10*b*d*n*x^10*e^2*log(x) + 1/12*a*x^12*e^3 - 3/100*b*d*n*x^10*e^2 + 3/10*b*d*x^10*e^2*log(c) + 3/8*b*d^2*n*x^8*e*log(x) + 3/10*a*d*x^10*e^2 - 3/64*b*d^2*n*x^8*e + 3/8*b*d^2*x^8*e*log(c) + 3/8*a*d^2*x^8*e + 1/6*b*d^3*n*x^6*log(x) - 1/36*b*d^3*n*x^6 + 1/6*b*d^3*x^6*log(c) + 1/6*a*d^3*x^6","A",0
197,1,173,0,0.324922," ","integrate(x^3*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{10} \, b n x^{10} e^{3} \log\left(x\right) - \frac{1}{100} \, b n x^{10} e^{3} + \frac{1}{10} \, b x^{10} e^{3} \log\left(c\right) + \frac{3}{8} \, b d n x^{8} e^{2} \log\left(x\right) + \frac{1}{10} \, a x^{10} e^{3} - \frac{3}{64} \, b d n x^{8} e^{2} + \frac{3}{8} \, b d x^{8} e^{2} \log\left(c\right) + \frac{1}{2} \, b d^{2} n x^{6} e \log\left(x\right) + \frac{3}{8} \, a d x^{8} e^{2} - \frac{1}{12} \, b d^{2} n x^{6} e + \frac{1}{2} \, b d^{2} x^{6} e \log\left(c\right) + \frac{1}{2} \, a d^{2} x^{6} e + \frac{1}{4} \, b d^{3} n x^{4} \log\left(x\right) - \frac{1}{16} \, b d^{3} n x^{4} + \frac{1}{4} \, b d^{3} x^{4} \log\left(c\right) + \frac{1}{4} \, a d^{3} x^{4}"," ",0,"1/10*b*n*x^10*e^3*log(x) - 1/100*b*n*x^10*e^3 + 1/10*b*x^10*e^3*log(c) + 3/8*b*d*n*x^8*e^2*log(x) + 1/10*a*x^10*e^3 - 3/64*b*d*n*x^8*e^2 + 3/8*b*d*x^8*e^2*log(c) + 1/2*b*d^2*n*x^6*e*log(x) + 3/8*a*d*x^8*e^2 - 1/12*b*d^2*n*x^6*e + 1/2*b*d^2*x^6*e*log(c) + 1/2*a*d^2*x^6*e + 1/4*b*d^3*n*x^4*log(x) - 1/16*b*d^3*n*x^4 + 1/4*b*d^3*x^4*log(c) + 1/4*a*d^3*x^4","A",0
198,1,173,0,0.282565," ","integrate(x*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{8} \, b n x^{8} e^{3} \log\left(x\right) - \frac{1}{64} \, b n x^{8} e^{3} + \frac{1}{8} \, b x^{8} e^{3} \log\left(c\right) + \frac{1}{2} \, b d n x^{6} e^{2} \log\left(x\right) + \frac{1}{8} \, a x^{8} e^{3} - \frac{1}{12} \, b d n x^{6} e^{2} + \frac{1}{2} \, b d x^{6} e^{2} \log\left(c\right) + \frac{3}{4} \, b d^{2} n x^{4} e \log\left(x\right) + \frac{1}{2} \, a d x^{6} e^{2} - \frac{3}{16} \, b d^{2} n x^{4} e + \frac{3}{4} \, b d^{2} x^{4} e \log\left(c\right) + \frac{3}{4} \, a d^{2} x^{4} e + \frac{1}{2} \, b d^{3} n x^{2} \log\left(x\right) - \frac{1}{4} \, b d^{3} n x^{2} + \frac{1}{2} \, b d^{3} x^{2} \log\left(c\right) + \frac{1}{2} \, a d^{3} x^{2}"," ",0,"1/8*b*n*x^8*e^3*log(x) - 1/64*b*n*x^8*e^3 + 1/8*b*x^8*e^3*log(c) + 1/2*b*d*n*x^6*e^2*log(x) + 1/8*a*x^8*e^3 - 1/12*b*d*n*x^6*e^2 + 1/2*b*d*x^6*e^2*log(c) + 3/4*b*d^2*n*x^4*e*log(x) + 1/2*a*d*x^6*e^2 - 3/16*b*d^2*n*x^4*e + 3/4*b*d^2*x^4*e*log(c) + 3/4*a*d^2*x^4*e + 1/2*b*d^3*n*x^2*log(x) - 1/4*b*d^3*n*x^2 + 1/2*b*d^3*x^2*log(c) + 1/2*a*d^3*x^2","B",0
199,1,158,0,0.273868," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{1}{6} \, b n x^{6} e^{3} \log\left(x\right) - \frac{1}{36} \, b n x^{6} e^{3} + \frac{1}{6} \, b x^{6} e^{3} \log\left(c\right) + \frac{3}{4} \, b d n x^{4} e^{2} \log\left(x\right) + \frac{1}{6} \, a x^{6} e^{3} - \frac{3}{16} \, b d n x^{4} e^{2} + \frac{3}{4} \, b d x^{4} e^{2} \log\left(c\right) + \frac{3}{2} \, b d^{2} n x^{2} e \log\left(x\right) + \frac{3}{4} \, a d x^{4} e^{2} - \frac{3}{4} \, b d^{2} n x^{2} e + \frac{3}{2} \, b d^{2} x^{2} e \log\left(c\right) + \frac{1}{2} \, b d^{3} n \log\left(x\right)^{2} + \frac{3}{2} \, a d^{2} x^{2} e + b d^{3} \log\left(c\right) \log\left(x\right) + a d^{3} \log\left(x\right)"," ",0,"1/6*b*n*x^6*e^3*log(x) - 1/36*b*n*x^6*e^3 + 1/6*b*x^6*e^3*log(c) + 3/4*b*d*n*x^4*e^2*log(x) + 1/6*a*x^6*e^3 - 3/16*b*d*n*x^4*e^2 + 3/4*b*d*x^4*e^2*log(c) + 3/2*b*d^2*n*x^2*e*log(x) + 3/4*a*d*x^4*e^2 - 3/4*b*d^2*n*x^2*e + 3/2*b*d^2*x^2*e*log(c) + 1/2*b*d^3*n*log(x)^2 + 3/2*a*d^2*x^2*e + b*d^3*log(c)*log(x) + a*d^3*log(x)","A",0
200,1,160,0,0.417571," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^3,x, algorithm=""giac"")","\frac{4 \, b n x^{6} e^{3} \log\left(x\right) - b n x^{6} e^{3} + 4 \, b x^{6} e^{3} \log\left(c\right) + 24 \, b d n x^{4} e^{2} \log\left(x\right) + 24 \, b d^{2} n x^{2} e \log\left(x\right)^{2} + 4 \, a x^{6} e^{3} - 12 \, b d n x^{4} e^{2} + 24 \, b d x^{4} e^{2} \log\left(c\right) + 48 \, b d^{2} x^{2} e \log\left(c\right) \log\left(x\right) + 24 \, a d x^{4} e^{2} + 48 \, a d^{2} x^{2} e \log\left(x\right) - 8 \, b d^{3} n \log\left(x\right) - 4 \, b d^{3} n - 8 \, b d^{3} \log\left(c\right) - 8 \, a d^{3}}{16 \, x^{2}}"," ",0,"1/16*(4*b*n*x^6*e^3*log(x) - b*n*x^6*e^3 + 4*b*x^6*e^3*log(c) + 24*b*d*n*x^4*e^2*log(x) + 24*b*d^2*n*x^2*e*log(x)^2 + 4*a*x^6*e^3 - 12*b*d*n*x^4*e^2 + 24*b*d*x^4*e^2*log(c) + 48*b*d^2*x^2*e*log(c)*log(x) + 24*a*d*x^4*e^2 + 48*a*d^2*x^2*e*log(x) - 8*b*d^3*n*log(x) - 4*b*d^3*n - 8*b*d^3*log(c) - 8*a*d^3)/x^2","A",0
201,1,162,0,0.289985," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^5,x, algorithm=""giac"")","\frac{8 \, b n x^{6} e^{3} \log\left(x\right) + 24 \, b d n x^{4} e^{2} \log\left(x\right)^{2} - 4 \, b n x^{6} e^{3} + 8 \, b x^{6} e^{3} \log\left(c\right) + 48 \, b d x^{4} e^{2} \log\left(c\right) \log\left(x\right) + 8 \, a x^{6} e^{3} + 48 \, a d x^{4} e^{2} \log\left(x\right) - 24 \, b d^{2} n x^{2} e \log\left(x\right) - 12 \, b d^{2} n x^{2} e - 24 \, b d^{2} x^{2} e \log\left(c\right) - 24 \, a d^{2} x^{2} e - 4 \, b d^{3} n \log\left(x\right) - b d^{3} n - 4 \, b d^{3} \log\left(c\right) - 4 \, a d^{3}}{16 \, x^{4}}"," ",0,"1/16*(8*b*n*x^6*e^3*log(x) + 24*b*d*n*x^4*e^2*log(x)^2 - 4*b*n*x^6*e^3 + 8*b*x^6*e^3*log(c) + 48*b*d*x^4*e^2*log(c)*log(x) + 8*a*x^6*e^3 + 48*a*d*x^4*e^2*log(x) - 24*b*d^2*n*x^2*e*log(x) - 12*b*d^2*n*x^2*e - 24*b*d^2*x^2*e*log(c) - 24*a*d^2*x^2*e - 4*b*d^3*n*log(x) - b*d^3*n - 4*b*d^3*log(c) - 4*a*d^3)/x^4","A",0
202,1,173,0,0.306697," ","integrate(x^4*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{11} \, b n x^{11} e^{3} \log\left(x\right) - \frac{1}{121} \, b n x^{11} e^{3} + \frac{1}{11} \, b x^{11} e^{3} \log\left(c\right) + \frac{1}{3} \, b d n x^{9} e^{2} \log\left(x\right) + \frac{1}{11} \, a x^{11} e^{3} - \frac{1}{27} \, b d n x^{9} e^{2} + \frac{1}{3} \, b d x^{9} e^{2} \log\left(c\right) + \frac{3}{7} \, b d^{2} n x^{7} e \log\left(x\right) + \frac{1}{3} \, a d x^{9} e^{2} - \frac{3}{49} \, b d^{2} n x^{7} e + \frac{3}{7} \, b d^{2} x^{7} e \log\left(c\right) + \frac{3}{7} \, a d^{2} x^{7} e + \frac{1}{5} \, b d^{3} n x^{5} \log\left(x\right) - \frac{1}{25} \, b d^{3} n x^{5} + \frac{1}{5} \, b d^{3} x^{5} \log\left(c\right) + \frac{1}{5} \, a d^{3} x^{5}"," ",0,"1/11*b*n*x^11*e^3*log(x) - 1/121*b*n*x^11*e^3 + 1/11*b*x^11*e^3*log(c) + 1/3*b*d*n*x^9*e^2*log(x) + 1/11*a*x^11*e^3 - 1/27*b*d*n*x^9*e^2 + 1/3*b*d*x^9*e^2*log(c) + 3/7*b*d^2*n*x^7*e*log(x) + 1/3*a*d*x^9*e^2 - 3/49*b*d^2*n*x^7*e + 3/7*b*d^2*x^7*e*log(c) + 3/7*a*d^2*x^7*e + 1/5*b*d^3*n*x^5*log(x) - 1/25*b*d^3*n*x^5 + 1/5*b*d^3*x^5*log(c) + 1/5*a*d^3*x^5","A",0
203,1,173,0,0.318605," ","integrate(x^2*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{9} \, b n x^{9} e^{3} \log\left(x\right) - \frac{1}{81} \, b n x^{9} e^{3} + \frac{1}{9} \, b x^{9} e^{3} \log\left(c\right) + \frac{3}{7} \, b d n x^{7} e^{2} \log\left(x\right) + \frac{1}{9} \, a x^{9} e^{3} - \frac{3}{49} \, b d n x^{7} e^{2} + \frac{3}{7} \, b d x^{7} e^{2} \log\left(c\right) + \frac{3}{5} \, b d^{2} n x^{5} e \log\left(x\right) + \frac{3}{7} \, a d x^{7} e^{2} - \frac{3}{25} \, b d^{2} n x^{5} e + \frac{3}{5} \, b d^{2} x^{5} e \log\left(c\right) + \frac{3}{5} \, a d^{2} x^{5} e + \frac{1}{3} \, b d^{3} n x^{3} \log\left(x\right) - \frac{1}{9} \, b d^{3} n x^{3} + \frac{1}{3} \, b d^{3} x^{3} \log\left(c\right) + \frac{1}{3} \, a d^{3} x^{3}"," ",0,"1/9*b*n*x^9*e^3*log(x) - 1/81*b*n*x^9*e^3 + 1/9*b*x^9*e^3*log(c) + 3/7*b*d*n*x^7*e^2*log(x) + 1/9*a*x^9*e^3 - 3/49*b*d*n*x^7*e^2 + 3/7*b*d*x^7*e^2*log(c) + 3/5*b*d^2*n*x^5*e*log(x) + 3/7*a*d*x^7*e^2 - 3/25*b*d^2*n*x^5*e + 3/5*b*d^2*x^5*e*log(c) + 3/5*a*d^2*x^5*e + 1/3*b*d^3*n*x^3*log(x) - 1/9*b*d^3*n*x^3 + 1/3*b*d^3*x^3*log(c) + 1/3*a*d^3*x^3","A",0
204,1,159,0,0.315489," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{7} \, b n x^{7} e^{3} \log\left(x\right) - \frac{1}{49} \, b n x^{7} e^{3} + \frac{1}{7} \, b x^{7} e^{3} \log\left(c\right) + \frac{3}{5} \, b d n x^{5} e^{2} \log\left(x\right) + \frac{1}{7} \, a x^{7} e^{3} - \frac{3}{25} \, b d n x^{5} e^{2} + \frac{3}{5} \, b d x^{5} e^{2} \log\left(c\right) + b d^{2} n x^{3} e \log\left(x\right) + \frac{3}{5} \, a d x^{5} e^{2} - \frac{1}{3} \, b d^{2} n x^{3} e + b d^{2} x^{3} e \log\left(c\right) + a d^{2} x^{3} e + b d^{3} n x \log\left(x\right) - b d^{3} n x + b d^{3} x \log\left(c\right) + a d^{3} x"," ",0,"1/7*b*n*x^7*e^3*log(x) - 1/49*b*n*x^7*e^3 + 1/7*b*x^7*e^3*log(c) + 3/5*b*d*n*x^5*e^2*log(x) + 1/7*a*x^7*e^3 - 3/25*b*d*n*x^5*e^2 + 3/5*b*d*x^5*e^2*log(c) + b*d^2*n*x^3*e*log(x) + 3/5*a*d*x^5*e^2 - 1/3*b*d^2*n*x^3*e + b*d^2*x^3*e*log(c) + a*d^2*x^3*e + b*d^3*n*x*log(x) - b*d^3*n*x + b*d^3*x*log(c) + a*d^3*x","A",0
205,1,166,0,0.418287," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\frac{15 \, b n x^{6} e^{3} \log\left(x\right) - 3 \, b n x^{6} e^{3} + 15 \, b x^{6} e^{3} \log\left(c\right) + 75 \, b d n x^{4} e^{2} \log\left(x\right) + 15 \, a x^{6} e^{3} - 25 \, b d n x^{4} e^{2} + 75 \, b d x^{4} e^{2} \log\left(c\right) + 225 \, b d^{2} n x^{2} e \log\left(x\right) + 75 \, a d x^{4} e^{2} - 225 \, b d^{2} n x^{2} e + 225 \, b d^{2} x^{2} e \log\left(c\right) + 225 \, a d^{2} x^{2} e - 75 \, b d^{3} n \log\left(x\right) - 75 \, b d^{3} n - 75 \, b d^{3} \log\left(c\right) - 75 \, a d^{3}}{75 \, x}"," ",0,"1/75*(15*b*n*x^6*e^3*log(x) - 3*b*n*x^6*e^3 + 15*b*x^6*e^3*log(c) + 75*b*d*n*x^4*e^2*log(x) + 15*a*x^6*e^3 - 25*b*d*n*x^4*e^2 + 75*b*d*x^4*e^2*log(c) + 225*b*d^2*n*x^2*e*log(x) + 75*a*d*x^4*e^2 - 225*b*d^2*n*x^2*e + 225*b*d^2*x^2*e*log(c) + 225*a*d^2*x^2*e - 75*b*d^3*n*log(x) - 75*b*d^3*n - 75*b*d^3*log(c) - 75*a*d^3)/x","A",0
206,1,166,0,0.258480," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^4,x, algorithm=""giac"")","\frac{3 \, b n x^{6} e^{3} \log\left(x\right) - b n x^{6} e^{3} + 3 \, b x^{6} e^{3} \log\left(c\right) + 27 \, b d n x^{4} e^{2} \log\left(x\right) + 3 \, a x^{6} e^{3} - 27 \, b d n x^{4} e^{2} + 27 \, b d x^{4} e^{2} \log\left(c\right) - 27 \, b d^{2} n x^{2} e \log\left(x\right) + 27 \, a d x^{4} e^{2} - 27 \, b d^{2} n x^{2} e - 27 \, b d^{2} x^{2} e \log\left(c\right) - 27 \, a d^{2} x^{2} e - 3 \, b d^{3} n \log\left(x\right) - b d^{3} n - 3 \, b d^{3} \log\left(c\right) - 3 \, a d^{3}}{9 \, x^{3}}"," ",0,"1/9*(3*b*n*x^6*e^3*log(x) - b*n*x^6*e^3 + 3*b*x^6*e^3*log(c) + 27*b*d*n*x^4*e^2*log(x) + 3*a*x^6*e^3 - 27*b*d*n*x^4*e^2 + 27*b*d*x^4*e^2*log(c) - 27*b*d^2*n*x^2*e*log(x) + 27*a*d*x^4*e^2 - 27*b*d^2*n*x^2*e - 27*b*d^2*x^2*e*log(c) - 27*a*d^2*x^2*e - 3*b*d^3*n*log(x) - b*d^3*n - 3*b*d^3*log(c) - 3*a*d^3)/x^3","A",0
207,1,166,0,0.387242," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^6,x, algorithm=""giac"")","\frac{75 \, b n x^{6} e^{3} \log\left(x\right) - 75 \, b n x^{6} e^{3} + 75 \, b x^{6} e^{3} \log\left(c\right) - 225 \, b d n x^{4} e^{2} \log\left(x\right) + 75 \, a x^{6} e^{3} - 225 \, b d n x^{4} e^{2} - 225 \, b d x^{4} e^{2} \log\left(c\right) - 75 \, b d^{2} n x^{2} e \log\left(x\right) - 225 \, a d x^{4} e^{2} - 25 \, b d^{2} n x^{2} e - 75 \, b d^{2} x^{2} e \log\left(c\right) - 75 \, a d^{2} x^{2} e - 15 \, b d^{3} n \log\left(x\right) - 3 \, b d^{3} n - 15 \, b d^{3} \log\left(c\right) - 15 \, a d^{3}}{75 \, x^{5}}"," ",0,"1/75*(75*b*n*x^6*e^3*log(x) - 75*b*n*x^6*e^3 + 75*b*x^6*e^3*log(c) - 225*b*d*n*x^4*e^2*log(x) + 75*a*x^6*e^3 - 225*b*d*n*x^4*e^2 - 225*b*d*x^4*e^2*log(c) - 75*b*d^2*n*x^2*e*log(x) - 225*a*d*x^4*e^2 - 25*b*d^2*n*x^2*e - 75*b*d^2*x^2*e*log(c) - 75*a*d^2*x^2*e - 15*b*d^3*n*log(x) - 3*b*d^3*n - 15*b*d^3*log(c) - 15*a*d^3)/x^5","A",0
208,1,166,0,0.272594," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^8,x, algorithm=""giac"")","-\frac{3675 \, b n x^{6} e^{3} \log\left(x\right) + 3675 \, b n x^{6} e^{3} + 3675 \, b x^{6} e^{3} \log\left(c\right) + 3675 \, b d n x^{4} e^{2} \log\left(x\right) + 3675 \, a x^{6} e^{3} + 1225 \, b d n x^{4} e^{2} + 3675 \, b d x^{4} e^{2} \log\left(c\right) + 2205 \, b d^{2} n x^{2} e \log\left(x\right) + 3675 \, a d x^{4} e^{2} + 441 \, b d^{2} n x^{2} e + 2205 \, b d^{2} x^{2} e \log\left(c\right) + 2205 \, a d^{2} x^{2} e + 525 \, b d^{3} n \log\left(x\right) + 75 \, b d^{3} n + 525 \, b d^{3} \log\left(c\right) + 525 \, a d^{3}}{3675 \, x^{7}}"," ",0,"-1/3675*(3675*b*n*x^6*e^3*log(x) + 3675*b*n*x^6*e^3 + 3675*b*x^6*e^3*log(c) + 3675*b*d*n*x^4*e^2*log(x) + 3675*a*x^6*e^3 + 1225*b*d*n*x^4*e^2 + 3675*b*d*x^4*e^2*log(c) + 2205*b*d^2*n*x^2*e*log(x) + 3675*a*d*x^4*e^2 + 441*b*d^2*n*x^2*e + 2205*b*d^2*x^2*e*log(c) + 2205*a*d^2*x^2*e + 525*b*d^3*n*log(x) + 75*b*d^3*n + 525*b*d^3*log(c) + 525*a*d^3)/x^7","A",0
209,1,166,0,0.288018," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^10,x, algorithm=""giac"")","-\frac{33075 \, b n x^{6} e^{3} \log\left(x\right) + 11025 \, b n x^{6} e^{3} + 33075 \, b x^{6} e^{3} \log\left(c\right) + 59535 \, b d n x^{4} e^{2} \log\left(x\right) + 33075 \, a x^{6} e^{3} + 11907 \, b d n x^{4} e^{2} + 59535 \, b d x^{4} e^{2} \log\left(c\right) + 42525 \, b d^{2} n x^{2} e \log\left(x\right) + 59535 \, a d x^{4} e^{2} + 6075 \, b d^{2} n x^{2} e + 42525 \, b d^{2} x^{2} e \log\left(c\right) + 42525 \, a d^{2} x^{2} e + 11025 \, b d^{3} n \log\left(x\right) + 1225 \, b d^{3} n + 11025 \, b d^{3} \log\left(c\right) + 11025 \, a d^{3}}{99225 \, x^{9}}"," ",0,"-1/99225*(33075*b*n*x^6*e^3*log(x) + 11025*b*n*x^6*e^3 + 33075*b*x^6*e^3*log(c) + 59535*b*d*n*x^4*e^2*log(x) + 33075*a*x^6*e^3 + 11907*b*d*n*x^4*e^2 + 59535*b*d*x^4*e^2*log(c) + 42525*b*d^2*n*x^2*e*log(x) + 59535*a*d*x^4*e^2 + 6075*b*d^2*n*x^2*e + 42525*b*d^2*x^2*e*log(c) + 42525*a*d^2*x^2*e + 11025*b*d^3*n*log(x) + 1225*b*d^3*n + 11025*b*d^3*log(c) + 11025*a*d^3)/x^9","A",0
210,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{5}}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^5/(e*x^2 + d), x)","F",0
211,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(e*x^2 + d), x)","F",0
212,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x/(e*x^2 + d), x)","F",0
213,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)*x), x)","F",0
214,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)*x^3), x)","F",0
215,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^5/(e*x^2+d),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)} x^{5}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)*x^5), x)","F",0
216,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{4}}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^4/(e*x^2 + d), x)","F",0
217,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*x^2 + d), x)","F",0
218,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(e*x^2 + d), x)","F",0
219,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)*x^2), x)","F",0
220,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)} x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)*x^4), x)","F",0
221,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{5}}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^5/(e*x^2 + d)^2, x)","F",0
222,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(e*x^2 + d)^2, x)","F",0
223,1,70,0,0.245653," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""giac"")","-\frac{b n x^{2} e \log\left(x^{2} e + d\right) - 2 \, b n x^{2} e \log\left(x\right) + b d n \log\left(x^{2} e + d\right) + 2 \, b d \log\left(c\right) + 2 \, a d}{4 \, {\left(d x^{2} e^{2} + d^{2} e\right)}}"," ",0,"-1/4*(b*n*x^2*e*log(x^2*e + d) - 2*b*n*x^2*e*log(x) + b*d*n*log(x^2*e + d) + 2*b*d*log(c) + 2*a*d)/(d*x^2*e^2 + d^2*e)","A",0
224,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{2} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^2*x), x)","F",0
225,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^2*x^3), x)","F",0
226,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{4}}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^4/(e*x^2 + d)^2, x)","F",0
227,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*x^2 + d)^2, x)","F",0
228,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(e*x^2 + d)^2, x)","F",0
229,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^2*x^2), x)","F",0
230,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^2*x^4), x)","F",0
231,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{5}}{{\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^5/(e*x^2 + d)^3, x)","F",0
232,1,140,0,0.300800," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""giac"")","-\frac{b n x^{4} e^{2} \log\left(x^{2} e + d\right) - 2 \, b n x^{4} e^{2} \log\left(x\right) + 2 \, b d n x^{2} e \log\left(x^{2} e + d\right) + b d n x^{2} e + 4 \, b d x^{2} e \log\left(c\right) + 4 \, a d x^{2} e + b d^{2} n \log\left(x^{2} e + d\right) + b d^{2} n + 2 \, b d^{2} \log\left(c\right) + 2 \, a d^{2}}{8 \, {\left(d x^{4} e^{4} + 2 \, d^{2} x^{2} e^{3} + d^{3} e^{2}\right)}}"," ",0,"-1/8*(b*n*x^4*e^2*log(x^2*e + d) - 2*b*n*x^4*e^2*log(x) + 2*b*d*n*x^2*e*log(x^2*e + d) + b*d*n*x^2*e + 4*b*d*x^2*e*log(c) + 4*a*d*x^2*e + b*d^2*n*log(x^2*e + d) + b*d^2*n + 2*b*d^2*log(c) + 2*a*d^2)/(d*x^4*e^4 + 2*d^2*x^2*e^3 + d^3*e^2)","B",0
233,1,136,0,0.292402," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""giac"")","-\frac{b n x^{4} e^{2} \log\left(x^{2} e + d\right) - 2 \, b n x^{4} e^{2} \log\left(x\right) + 2 \, b d n x^{2} e \log\left(x^{2} e + d\right) - 4 \, b d n x^{2} e \log\left(x\right) - b d n x^{2} e + b d^{2} n \log\left(x^{2} e + d\right) - b d^{2} n + 2 \, b d^{2} \log\left(c\right) + 2 \, a d^{2}}{8 \, {\left(d^{2} x^{4} e^{3} + 2 \, d^{3} x^{2} e^{2} + d^{4} e\right)}}"," ",0,"-1/8*(b*n*x^4*e^2*log(x^2*e + d) - 2*b*n*x^4*e^2*log(x) + 2*b*d*n*x^2*e*log(x^2*e + d) - 4*b*d*n*x^2*e*log(x) - b*d*n*x^2*e + b*d^2*n*log(x^2*e + d) - b*d^2*n + 2*b*d^2*log(c) + 2*a*d^2)/(d^2*x^4*e^3 + 2*d^3*x^2*e^2 + d^4*e)","A",0
234,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{3} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^3*x), x)","F",0
235,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{3} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^3*x^3), x)","F",0
236,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{4}}{{\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^4/(e*x^2 + d)^3, x)","F",0
237,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{{\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*x^2 + d)^3, x)","F",0
238,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(e*x^2 + d)^3, x)","F",0
239,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^3*x^2), x)","F",0
240,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^3,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{3} x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^3*x^4), x)","F",0
241,0,0,0,0.000000," ","integrate(x*log(c*x^2)/(-c*x^2+1),x, algorithm=""giac"")","\int -\frac{x \log\left(c x^{2}\right)}{c x^{2} - 1}\,{d x}"," ",0,"integrate(-x*log(c*x^2)/(c*x^2 - 1), x)","F",0
242,0,0,0,0.000000," ","integrate(x*log(x^2/c)/(-x^2+c),x, algorithm=""giac"")","\int -\frac{x \log\left(\frac{x^{2}}{c}\right)}{x^{2} - c}\,{d x}"," ",0,"integrate(-x*log(x^2/c)/(x^2 - c), x)","F",0
243,0,0,0,0.000000," ","integrate(log(x)/(-x^2+1),x, algorithm=""giac"")","\int -\frac{\log\left(x\right)}{x^{2} - 1}\,{d x}"," ",0,"integrate(-log(x)/(x^2 - 1), x)","F",0
244,0,0,0,0.000000," ","integrate(log(x)/(x^2+1),x, algorithm=""giac"")","\int \frac{\log\left(x\right)}{x^{2} + 1}\,{d x}"," ",0,"integrate(log(x)/(x^2 + 1), x)","F",0
245,0,0,0,0.000000," ","integrate((a+b*log(c*x))/(-e*x^2+1),x, algorithm=""giac"")","\int -\frac{b \log\left(c x\right) + a}{e x^{2} - 1}\,{d x}"," ",0,"integrate(-(b*log(c*x) + a)/(e*x^2 - 1), x)","F",0
246,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(-e*x^2+1),x, algorithm=""giac"")","\int -\frac{b \log\left(c x^{n}\right) + a}{e x^{2} - 1}\,{d x}"," ",0,"integrate(-(b*log(c*x^n) + a)/(e*x^2 - 1), x)","F",0
247,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/(e*x^2 + d)^2, x)","F",0
248,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3}}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3/(e*x^2 + d)^2, x)","F",0
249,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{2} + d\right)}^{2} {\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((e*x^2 + d)^2*(b*log(c*x^n) + a)), x)","F",0
250,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{2} + d\right)}^{2} {\left(b \log\left(c x^{n}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((e*x^2 + d)^2*(b*log(c*x^n) + a)^2), x)","F",0
251,1,296,0,0.748959," ","integrate(x^5*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""giac"")","\frac{1}{7} \, \sqrt{x^{2} e + d} b x^{6} \log\left(c\right) + \frac{1}{35} \, \sqrt{x^{2} e + d} b d x^{4} e^{\left(-1\right)} \log\left(c\right) + \frac{1}{7} \, \sqrt{x^{2} e + d} a x^{6} + \frac{1}{35} \, \sqrt{x^{2} e + d} a d x^{4} e^{\left(-1\right)} - \frac{4}{105} \, \sqrt{x^{2} e + d} b d^{2} x^{2} e^{\left(-2\right)} \log\left(c\right) - \frac{4}{105} \, \sqrt{x^{2} e + d} a d^{2} x^{2} e^{\left(-2\right)} + \frac{8}{105} \, \sqrt{x^{2} e + d} b d^{3} e^{\left(-3\right)} \log\left(c\right) + \frac{8}{105} \, \sqrt{x^{2} e + d} a d^{3} e^{\left(-3\right)} + \frac{1}{11025} \, {\left(105 \, {\left(15 \, {\left(x^{2} e + d\right)}^{\frac{7}{2}} - 42 \, {\left(x^{2} e + d\right)}^{\frac{5}{2}} d + 35 \, {\left(x^{2} e + d\right)}^{\frac{3}{2}} d^{2}\right)} e^{\left(-3\right)} \log\left(x\right) - {\left(\frac{840 \, d^{4} \arctan\left(\frac{\sqrt{x^{2} e + d}}{\sqrt{-d}}\right)}{\sqrt{-d}} + 225 \, {\left(x^{2} e + d\right)}^{\frac{7}{2}} - 567 \, {\left(x^{2} e + d\right)}^{\frac{5}{2}} d + 280 \, {\left(x^{2} e + d\right)}^{\frac{3}{2}} d^{2} + 840 \, \sqrt{x^{2} e + d} d^{3}\right)} e^{\left(-3\right)}\right)} b n"," ",0,"1/7*sqrt(x^2*e + d)*b*x^6*log(c) + 1/35*sqrt(x^2*e + d)*b*d*x^4*e^(-1)*log(c) + 1/7*sqrt(x^2*e + d)*a*x^6 + 1/35*sqrt(x^2*e + d)*a*d*x^4*e^(-1) - 4/105*sqrt(x^2*e + d)*b*d^2*x^2*e^(-2)*log(c) - 4/105*sqrt(x^2*e + d)*a*d^2*x^2*e^(-2) + 8/105*sqrt(x^2*e + d)*b*d^3*e^(-3)*log(c) + 8/105*sqrt(x^2*e + d)*a*d^3*e^(-3) + 1/11025*(105*(15*(x^2*e + d)^(7/2) - 42*(x^2*e + d)^(5/2)*d + 35*(x^2*e + d)^(3/2)*d^2)*e^(-3)*log(x) - (840*d^4*arctan(sqrt(x^2*e + d)/sqrt(-d))/sqrt(-d) + 225*(x^2*e + d)^(7/2) - 567*(x^2*e + d)^(5/2)*d + 280*(x^2*e + d)^(3/2)*d^2 + 840*sqrt(x^2*e + d)*d^3)*e^(-3))*b*n","A",0
252,1,221,0,0.528360," ","integrate(x^3*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""giac"")","\frac{1}{5} \, \sqrt{x^{2} e + d} b x^{4} \log\left(c\right) + \frac{1}{15} \, \sqrt{x^{2} e + d} b d x^{2} e^{\left(-1\right)} \log\left(c\right) + \frac{1}{5} \, \sqrt{x^{2} e + d} a x^{4} + \frac{1}{15} \, \sqrt{x^{2} e + d} a d x^{2} e^{\left(-1\right)} - \frac{2}{15} \, \sqrt{x^{2} e + d} b d^{2} e^{\left(-2\right)} \log\left(c\right) - \frac{2}{15} \, \sqrt{x^{2} e + d} a d^{2} e^{\left(-2\right)} + \frac{1}{225} \, {\left(15 \, {\left(3 \, {\left(x^{2} e + d\right)}^{\frac{5}{2}} - 5 \, {\left(x^{2} e + d\right)}^{\frac{3}{2}} d\right)} e^{\left(-2\right)} \log\left(x\right) + {\left(\frac{30 \, d^{3} \arctan\left(\frac{\sqrt{x^{2} e + d}}{\sqrt{-d}}\right)}{\sqrt{-d}} - 9 \, {\left(x^{2} e + d\right)}^{\frac{5}{2}} + 10 \, {\left(x^{2} e + d\right)}^{\frac{3}{2}} d + 30 \, \sqrt{x^{2} e + d} d^{2}\right)} e^{\left(-2\right)}\right)} b n"," ",0,"1/5*sqrt(x^2*e + d)*b*x^4*log(c) + 1/15*sqrt(x^2*e + d)*b*d*x^2*e^(-1)*log(c) + 1/5*sqrt(x^2*e + d)*a*x^4 + 1/15*sqrt(x^2*e + d)*a*d*x^2*e^(-1) - 2/15*sqrt(x^2*e + d)*b*d^2*e^(-2)*log(c) - 2/15*sqrt(x^2*e + d)*a*d^2*e^(-2) + 1/225*(15*(3*(x^2*e + d)^(5/2) - 5*(x^2*e + d)^(3/2)*d)*e^(-2)*log(x) + (30*d^3*arctan(sqrt(x^2*e + d)/sqrt(-d))/sqrt(-d) - 9*(x^2*e + d)^(5/2) + 10*(x^2*e + d)^(3/2)*d + 30*sqrt(x^2*e + d)*d^2)*e^(-2))*b*n","A",0
253,1,145,0,0.511540," ","integrate(x*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, \sqrt{x^{2} e + d} b x^{2} \log\left(c\right) + \frac{1}{3} \, \sqrt{x^{2} e + d} b d e^{\left(-1\right)} \log\left(c\right) + \frac{1}{3} \, \sqrt{x^{2} e + d} a x^{2} + \frac{1}{3} \, \sqrt{x^{2} e + d} a d e^{\left(-1\right)} + \frac{1}{9} \, {\left(3 \, {\left(x^{2} e + d\right)}^{\frac{3}{2}} e^{\left(-1\right)} \log\left(x\right) - {\left(\frac{3 \, d^{2} \arctan\left(\frac{\sqrt{x^{2} e + d}}{\sqrt{-d}}\right)}{\sqrt{-d}} + {\left(x^{2} e + d\right)}^{\frac{3}{2}} + 3 \, \sqrt{x^{2} e + d} d\right)} e^{\left(-1\right)}\right)} b n"," ",0,"1/3*sqrt(x^2*e + d)*b*x^2*log(c) + 1/3*sqrt(x^2*e + d)*b*d*e^(-1)*log(c) + 1/3*sqrt(x^2*e + d)*a*x^2 + 1/3*sqrt(x^2*e + d)*a*d*e^(-1) + 1/9*(3*(x^2*e + d)^(3/2)*e^(-1)*log(x) - (3*d^2*arctan(sqrt(x^2*e + d)/sqrt(-d))/sqrt(-d) + (x^2*e + d)^(3/2) + 3*sqrt(x^2*e + d)*d)*e^(-1))*b*n","A",0
254,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x,x, algorithm=""giac"")","\int \frac{\sqrt{e x^{2} + d} {\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*(b*log(c*x^n) + a)/x, x)","F",0
255,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^3,x, algorithm=""giac"")","\int \frac{\sqrt{e x^{2} + d} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*(b*log(c*x^n) + a)/x^3, x)","F",0
256,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \sqrt{e x^{2} + d} {\left(b \log\left(c x^{n}\right) + a\right)} x^{4}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*(b*log(c*x^n) + a)*x^4, x)","F",0
257,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \sqrt{e x^{2} + d} {\left(b \log\left(c x^{n}\right) + a\right)} x^{2}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*(b*log(c*x^n) + a)*x^2, x)","F",0
258,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \sqrt{e x^{2} + d} {\left(b \log\left(c x^{n}\right) + a\right)}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*(b*log(c*x^n) + a), x)","F",0
259,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^2,x, algorithm=""giac"")","\int \frac{\sqrt{e x^{2} + d} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*(b*log(c*x^n) + a)/x^2, x)","F",0
260,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^4,x, algorithm=""giac"")","\int \frac{\sqrt{e x^{2} + d} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*(b*log(c*x^n) + a)/x^4, x)","F",0
261,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^6,x, algorithm=""giac"")","\int \frac{\sqrt{e x^{2} + d} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{6}}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*(b*log(c*x^n) + a)/x^6, x)","F",0
262,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^8,x, algorithm=""giac"")","\int \frac{\sqrt{e x^{2} + d} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{8}}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*(b*log(c*x^n) + a)/x^8, x)","F",0
263,0,0,0,0.000000," ","integrate(x^5*(e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\int {\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)} x^{5}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*(b*log(c*x^n) + a)*x^5, x)","F",0
264,0,0,0,0.000000," ","integrate(x^3*(e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\int {\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)} x^{3}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*(b*log(c*x^n) + a)*x^3, x)","F",0
265,0,0,0,0.000000," ","integrate(x*(e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\int {\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)} x\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*(b*log(c*x^n) + a)*x, x)","F",0
266,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*(b*log(c*x^n) + a)/x, x)","F",0
267,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^3,x, algorithm=""giac"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{3}}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*(b*log(c*x^n) + a)/x^3, x)","F",0
268,0,0,0,0.000000," ","integrate(x^2*(e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\int {\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)} x^{2}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*(b*log(c*x^n) + a)*x^2, x)","F",0
269,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\int {\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*(b*log(c*x^n) + a), x)","F",0
270,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{2}}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*(b*log(c*x^n) + a)/x^2, x)","F",0
271,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^4,x, algorithm=""giac"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{4}}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*(b*log(c*x^n) + a)/x^4, x)","F",0
272,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^6,x, algorithm=""giac"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{6}}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*(b*log(c*x^n) + a)/x^6, x)","F",0
273,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^8,x, algorithm=""giac"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{8}}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*(b*log(c*x^n) + a)/x^8, x)","F",0
274,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^10,x, algorithm=""giac"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{10}}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*(b*log(c*x^n) + a)/x^10, x)","F",0
275,1,54,0,0.316053," ","integrate(x*log(x)*(x^2+4)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, {\left(x^{2} + 4\right)}^{\frac{3}{2}} \log\left(x\right) - \frac{1}{9} \, {\left(x^{2} + 4\right)}^{\frac{3}{2}} - \frac{4}{3} \, \sqrt{x^{2} + 4} + \frac{4}{3} \, \log\left(\sqrt{x^{2} + 4} + 2\right) - \frac{4}{3} \, \log\left(\sqrt{x^{2} + 4} - 2\right)"," ",0,"1/3*(x^2 + 4)^(3/2)*log(x) - 1/9*(x^2 + 4)^(3/2) - 4/3*sqrt(x^2 + 4) + 4/3*log(sqrt(x^2 + 4) + 2) - 4/3*log(sqrt(x^2 + 4) - 2)","A",0
276,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{5}}{\sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^5/sqrt(e*x^2 + d), x)","F",0
277,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{\sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/sqrt(e*x^2 + d), x)","F",0
278,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x}{\sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x/sqrt(e*x^2 + d), x)","F",0
279,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x^{2} + d} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x^2 + d)*x), x)","F",0
280,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x^{2} + d} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x^2 + d)*x^3), x)","F",0
281,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{\sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/sqrt(e*x^2 + d), x)","F",0
282,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/sqrt(e*x^2 + d), x)","F",0
283,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x^{2} + d} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x^2 + d)*x^2), x)","F",0
284,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x^{2} + d} x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x^2 + d)*x^4), x)","F",0
285,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^6/(e*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x^{2} + d} x^{6}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x^2 + d)*x^6), x)","F",0
286,0,0,0,0.000000," ","integrate(x^7*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{7}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^7/(e*x^2 + d)^(3/2), x)","F",0
287,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{5}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^5/(e*x^2 + d)^(3/2), x)","F",0
288,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(e*x^2 + d)^(3/2), x)","F",0
289,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x}{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x/(e*x^2 + d)^(3/2), x)","F",0
290,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^(3/2)*x), x)","F",0
291,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^(3/2)*x^3), x)","F",0
292,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*x^2 + d)^(3/2), x)","F",0
293,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(e*x^2 + d)^(3/2), x)","F",0
294,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^(3/2)*x^2), x)","F",0
295,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^(3/2)*x^4), x)","F",0
296,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^6/(e*x^2+d)^(3/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{6}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^(3/2)*x^6), x)","F",0
297,0,0,0,0.000000," ","integrate(x^7*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{7}}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^7/(e*x^2 + d)^(5/2), x)","F",0
298,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{5}}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^5/(e*x^2 + d)^(5/2), x)","F",0
299,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(e*x^2 + d)^(5/2), x)","F",0
300,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x/(e*x^2 + d)^(5/2), x)","F",0
301,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{\frac{5}{2}} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^(5/2)*x), x)","F",0
302,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{\frac{5}{2}} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^(5/2)*x^3), x)","F",0
303,0,0,0,0.000000," ","integrate(x^6*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{6}}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^6/(e*x^2 + d)^(5/2), x)","F",0
304,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{4}}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^4/(e*x^2 + d)^(5/2), x)","F",0
305,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*x^2 + d)^(5/2), x)","F",0
306,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(e*x^2 + d)^(5/2), x)","F",0
307,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{\frac{5}{2}} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^(5/2)*x^2), x)","F",0
308,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^(5/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{2} + d\right)}^{\frac{5}{2}} x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^2 + d)^(5/2)*x^4), x)","F",0
309,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{\sqrt{e x + d} \sqrt{-e x + d}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(sqrt(e*x + d)*sqrt(-e*x + d)), x)","F",0
310,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x}{\sqrt{e x + d} \sqrt{-e x + d}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x/(sqrt(e*x + d)*sqrt(-e*x + d)), x)","F",0
311,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x + d} \sqrt{-e x + d} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x + d)*sqrt(-e*x + d)*x), x)","F",0
312,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x + d} \sqrt{-e x + d} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x + d)*sqrt(-e*x + d)*x^3), x)","F",0
313,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{\sqrt{e x + d} \sqrt{-e x + d}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(sqrt(e*x + d)*sqrt(-e*x + d)), x)","F",0
314,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x + d} \sqrt{-e x + d}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x + d)*sqrt(-e*x + d)), x)","F",0
315,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x + d} \sqrt{-e x + d} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x + d)*sqrt(-e*x + d)*x^2), x)","F",0
316,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x + d} \sqrt{-e x + d} x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x + d)*sqrt(-e*x + d)*x^4), x)","F",0
317,1,28,0,0.341747," ","integrate(x*log(x)/(x^2-1)^(1/2),x, algorithm=""giac"")","\sqrt{x^{2} - 1} \log\left(x\right) - \sqrt{x^{2} - 1} + \arctan\left(\sqrt{x^{2} - 1}\right)"," ",0,"sqrt(x^2 - 1)*log(x) - sqrt(x^2 - 1) + arctan(sqrt(x^2 - 1))","A",0
318,1,553,0,0.622612," ","integrate((f*x)^m*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b f^{6} f^{m} x^{7} x^{m} e^{3} \log\left(c\right)}{f^{6} m + 7 \, f^{6}} + \frac{a f^{6} f^{m} x^{7} x^{m} e^{3}}{f^{6} m + 7 \, f^{6}} + \frac{3 \, b d f^{4} f^{m} x^{5} x^{m} e^{2} \log\left(c\right)}{f^{4} m + 5 \, f^{4}} + \frac{3 \, a d f^{4} f^{m} x^{5} x^{m} e^{2}}{f^{4} m + 5 \, f^{4}} + \frac{b f^{m} m n x^{7} x^{m} e^{3} \log\left(x\right)}{m^{2} + 14 \, m + 49} + \frac{7 \, b f^{m} n x^{7} x^{m} e^{3} \log\left(x\right)}{m^{2} + 14 \, m + 49} + \frac{3 \, b d f^{m} m n x^{5} x^{m} e^{2} \log\left(x\right)}{m^{2} + 10 \, m + 25} - \frac{b f^{m} n x^{7} x^{m} e^{3}}{m^{2} + 14 \, m + 49} + \frac{3 \, b d^{2} f^{2} f^{m} x^{3} x^{m} e \log\left(c\right)}{f^{2} m + 3 \, f^{2}} + \frac{15 \, b d f^{m} n x^{5} x^{m} e^{2} \log\left(x\right)}{m^{2} + 10 \, m + 25} + \frac{3 \, b d^{2} f^{m} m n x^{3} x^{m} e \log\left(x\right)}{m^{2} + 6 \, m + 9} - \frac{3 \, b d f^{m} n x^{5} x^{m} e^{2}}{m^{2} + 10 \, m + 25} + \frac{3 \, a d^{2} f^{2} f^{m} x^{3} x^{m} e}{f^{2} m + 3 \, f^{2}} + \frac{9 \, b d^{2} f^{m} n x^{3} x^{m} e \log\left(x\right)}{m^{2} + 6 \, m + 9} - \frac{3 \, b d^{2} f^{m} n x^{3} x^{m} e}{m^{2} + 6 \, m + 9} + \frac{b d^{3} f^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{b d^{3} f^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{b d^{3} f^{m} n x x^{m}}{m^{2} + 2 \, m + 1} + \frac{\left(f x\right)^{m} b d^{3} x \log\left(c\right)}{m + 1} + \frac{\left(f x\right)^{m} a d^{3} x}{m + 1}"," ",0,"b*f^6*f^m*x^7*x^m*e^3*log(c)/(f^6*m + 7*f^6) + a*f^6*f^m*x^7*x^m*e^3/(f^6*m + 7*f^6) + 3*b*d*f^4*f^m*x^5*x^m*e^2*log(c)/(f^4*m + 5*f^4) + 3*a*d*f^4*f^m*x^5*x^m*e^2/(f^4*m + 5*f^4) + b*f^m*m*n*x^7*x^m*e^3*log(x)/(m^2 + 14*m + 49) + 7*b*f^m*n*x^7*x^m*e^3*log(x)/(m^2 + 14*m + 49) + 3*b*d*f^m*m*n*x^5*x^m*e^2*log(x)/(m^2 + 10*m + 25) - b*f^m*n*x^7*x^m*e^3/(m^2 + 14*m + 49) + 3*b*d^2*f^2*f^m*x^3*x^m*e*log(c)/(f^2*m + 3*f^2) + 15*b*d*f^m*n*x^5*x^m*e^2*log(x)/(m^2 + 10*m + 25) + 3*b*d^2*f^m*m*n*x^3*x^m*e*log(x)/(m^2 + 6*m + 9) - 3*b*d*f^m*n*x^5*x^m*e^2/(m^2 + 10*m + 25) + 3*a*d^2*f^2*f^m*x^3*x^m*e/(f^2*m + 3*f^2) + 9*b*d^2*f^m*n*x^3*x^m*e*log(x)/(m^2 + 6*m + 9) - 3*b*d^2*f^m*n*x^3*x^m*e/(m^2 + 6*m + 9) + b*d^3*f^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + b*d^3*f^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - b*d^3*f^m*n*x*x^m/(m^2 + 2*m + 1) + (f*x)^m*b*d^3*x*log(c)/(m + 1) + (f*x)^m*a*d^3*x/(m + 1)","B",0
319,1,396,0,0.421123," ","integrate((f*x)^m*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b f^{4} f^{m} x^{5} x^{m} e^{2} \log\left(c\right)}{f^{4} m + 5 \, f^{4}} + \frac{a f^{4} f^{m} x^{5} x^{m} e^{2}}{f^{4} m + 5 \, f^{4}} + \frac{b f^{m} m n x^{5} x^{m} e^{2} \log\left(x\right)}{m^{2} + 10 \, m + 25} + \frac{2 \, b d f^{2} f^{m} x^{3} x^{m} e \log\left(c\right)}{f^{2} m + 3 \, f^{2}} + \frac{5 \, b f^{m} n x^{5} x^{m} e^{2} \log\left(x\right)}{m^{2} + 10 \, m + 25} + \frac{2 \, b d f^{m} m n x^{3} x^{m} e \log\left(x\right)}{m^{2} + 6 \, m + 9} - \frac{b f^{m} n x^{5} x^{m} e^{2}}{m^{2} + 10 \, m + 25} + \frac{2 \, a d f^{2} f^{m} x^{3} x^{m} e}{f^{2} m + 3 \, f^{2}} + \frac{6 \, b d f^{m} n x^{3} x^{m} e \log\left(x\right)}{m^{2} + 6 \, m + 9} - \frac{2 \, b d f^{m} n x^{3} x^{m} e}{m^{2} + 6 \, m + 9} + \frac{b d^{2} f^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{b d^{2} f^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{b d^{2} f^{m} n x x^{m}}{m^{2} + 2 \, m + 1} + \frac{\left(f x\right)^{m} b d^{2} x \log\left(c\right)}{m + 1} + \frac{\left(f x\right)^{m} a d^{2} x}{m + 1}"," ",0,"b*f^4*f^m*x^5*x^m*e^2*log(c)/(f^4*m + 5*f^4) + a*f^4*f^m*x^5*x^m*e^2/(f^4*m + 5*f^4) + b*f^m*m*n*x^5*x^m*e^2*log(x)/(m^2 + 10*m + 25) + 2*b*d*f^2*f^m*x^3*x^m*e*log(c)/(f^2*m + 3*f^2) + 5*b*f^m*n*x^5*x^m*e^2*log(x)/(m^2 + 10*m + 25) + 2*b*d*f^m*m*n*x^3*x^m*e*log(x)/(m^2 + 6*m + 9) - b*f^m*n*x^5*x^m*e^2/(m^2 + 10*m + 25) + 2*a*d*f^2*f^m*x^3*x^m*e/(f^2*m + 3*f^2) + 6*b*d*f^m*n*x^3*x^m*e*log(x)/(m^2 + 6*m + 9) - 2*b*d*f^m*n*x^3*x^m*e/(m^2 + 6*m + 9) + b*d^2*f^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + b*d^2*f^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - b*d^2*f^m*n*x*x^m/(m^2 + 2*m + 1) + (f*x)^m*b*d^2*x*log(c)/(m + 1) + (f*x)^m*a*d^2*x/(m + 1)","B",0
320,1,239,0,0.385880," ","integrate((f*x)^m*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b f^{2} f^{m} x^{3} x^{m} e \log\left(c\right)}{f^{2} m + 3 \, f^{2}} + \frac{b f^{m} m n x^{3} x^{m} e \log\left(x\right)}{m^{2} + 6 \, m + 9} + \frac{a f^{2} f^{m} x^{3} x^{m} e}{f^{2} m + 3 \, f^{2}} + \frac{3 \, b f^{m} n x^{3} x^{m} e \log\left(x\right)}{m^{2} + 6 \, m + 9} - \frac{b f^{m} n x^{3} x^{m} e}{m^{2} + 6 \, m + 9} + \frac{b d f^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{b d f^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{b d f^{m} n x x^{m}}{m^{2} + 2 \, m + 1} + \frac{\left(f x\right)^{m} b d x \log\left(c\right)}{m + 1} + \frac{\left(f x\right)^{m} a d x}{m + 1}"," ",0,"b*f^2*f^m*x^3*x^m*e*log(c)/(f^2*m + 3*f^2) + b*f^m*m*n*x^3*x^m*e*log(x)/(m^2 + 6*m + 9) + a*f^2*f^m*x^3*x^m*e/(f^2*m + 3*f^2) + 3*b*f^m*n*x^3*x^m*e*log(x)/(m^2 + 6*m + 9) - b*f^m*n*x^3*x^m*e/(m^2 + 6*m + 9) + b*d*f^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + b*d*f^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - b*d*f^m*n*x*x^m/(m^2 + 2*m + 1) + (f*x)^m*b*d*x*log(c)/(m + 1) + (f*x)^m*a*d*x/(m + 1)","B",0
321,1,95,0,0.359944," ","integrate((f*x)^m*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b f^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{b f^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{b f^{m} n x x^{m}}{m^{2} + 2 \, m + 1} + \frac{\left(f x\right)^{m} b x \log\left(c\right)}{m + 1} + \frac{\left(f x\right)^{m} a x}{m + 1}"," ",0,"b*f^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + b*f^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - b*f^m*n*x*x^m/(m^2 + 2*m + 1) + (f*x)^m*b*x*log(c)/(m + 1) + (f*x)^m*a*x/(m + 1)","B",0
322,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \left(f x\right)^{m}}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(f*x)^m/(e*x^2 + d), x)","F",0
323,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \left(f x\right)^{m}}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(f*x)^m/(e*x^2 + d)^2, x)","F",0
324,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3/(e*x^3+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3}}{{\left(e x^{3} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3/(e*x^3 + d)^2, x)","F",0
325,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/(e*x^3+d)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x^{3} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/(e*x^3 + d)^2, x)","F",0
326,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x^3+d)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{3} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(e*x^3 + d)^2, x)","F",0
327,0,0,0,0.000000," ","integrate(1/(e*x^3+d)^2/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{3} + d\right)}^{2} {\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((e*x^3 + d)^2*(b*log(c*x^n) + a)), x)","F",0
328,0,0,0,0.000000," ","integrate(1/(e*x^3+d)^2/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(e x^{3} + d\right)}^{2} {\left(b \log\left(c x^{n}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((e*x^3 + d)^2*(b*log(c*x^n) + a)^2), x)","F",0
329,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(d+e/x),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{d + \frac{e}{x}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(d + e/x), x)","F",0
330,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(d+e/x),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{d + \frac{e}{x}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(d + e/x), x)","F",0
331,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(d+e/x),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x}{d + \frac{e}{x}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x/(d + e/x), x)","F",0
332,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e/x),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{d + \frac{e}{x}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(d + e/x), x)","F",0
333,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e/x)/x,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(d + \frac{e}{x}\right)} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((d + e/x)*x), x)","F",0
334,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e/x)/x^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(d + \frac{e}{x}\right)} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((d + e/x)*x^2), x)","F",0
335,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e/x)/x^3,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(d + \frac{e}{x}\right)} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((d + e/x)*x^3), x)","F",0
336,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e/x)/x^4,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(d + \frac{e}{x}\right)} x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((d + e/x)*x^4), x)","F",0
337,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x))/(d+e/x),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x\right) + a\right)} x^{3}}{d + \frac{e}{x}}\,{d x}"," ",0,"integrate((b*log(c*x) + a)*x^3/(d + e/x), x)","F",0
338,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x))/(d+e/x),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x\right) + a\right)} x^{2}}{d + \frac{e}{x}}\,{d x}"," ",0,"integrate((b*log(c*x) + a)*x^2/(d + e/x), x)","F",0
339,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x))/(d+e/x),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x\right) + a\right)} x}{d + \frac{e}{x}}\,{d x}"," ",0,"integrate((b*log(c*x) + a)*x/(d + e/x), x)","F",0
340,0,0,0,0.000000," ","integrate((a+b*log(c*x))/(d+e/x),x, algorithm=""giac"")","\int \frac{b \log\left(c x\right) + a}{d + \frac{e}{x}}\,{d x}"," ",0,"integrate((b*log(c*x) + a)/(d + e/x), x)","F",0
341,0,0,0,0.000000," ","integrate((a+b*log(c*x))/(d+e/x)/x,x, algorithm=""giac"")","\int \frac{b \log\left(c x\right) + a}{{\left(d + \frac{e}{x}\right)} x}\,{d x}"," ",0,"integrate((b*log(c*x) + a)/((d + e/x)*x), x)","F",0
342,0,0,0,0.000000," ","integrate((a+b*log(c*x))/(d+e/x)/x^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x\right) + a}{{\left(d + \frac{e}{x}\right)} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x) + a)/((d + e/x)*x^2), x)","F",0
343,0,0,0,0.000000," ","integrate((a+b*log(c*x))/(d+e/x)/x^3,x, algorithm=""giac"")","\int \frac{b \log\left(c x\right) + a}{{\left(d + \frac{e}{x}\right)} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x) + a)/((d + e/x)*x^3), x)","F",0
344,0,0,0,0.000000," ","integrate((a+b*log(c*x))/(d+e/x)/x^4,x, algorithm=""giac"")","\int \frac{b \log\left(c x\right) + a}{{\left(d + \frac{e}{x}\right)} x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x) + a)/((d + e/x)*x^4), x)","F",0
345,0,0,0,0.000000," ","integrate(x^(-1+n)*log(e*x^n)/(1-e*x^n),x, algorithm=""giac"")","\int -\frac{x^{n - 1} \log\left(e x^{n}\right)}{e x^{n} - 1}\,{d x}"," ",0,"integrate(-x^(n - 1)*log(e*x^n)/(e*x^n - 1), x)","F",0
346,0,0,0,0.000000," ","integrate(x^(-1+n)*log(x^n/d)/(d-x^n),x, algorithm=""giac"")","\int \frac{x^{n - 1} \log\left(\frac{x^{n}}{d}\right)}{d - x^{n}}\,{d x}"," ",0,"integrate(x^(n - 1)*log(x^n/d)/(d - x^n), x)","F",0
347,0,0,0,0.000000," ","integrate(x^(-1+n)*log(-e*x^n/d)/(d+e*x^n),x, algorithm=""giac"")","\int \frac{x^{n - 1} \log\left(-\frac{e x^{n}}{d}\right)}{e x^{n} + d}\,{d x}"," ",0,"integrate(x^(n - 1)*log(-e*x^n/d)/(e*x^n + d), x)","F",0
348,0,0,0,0.000000," ","integrate(log(a/x)/(a*x-x^2),x, algorithm=""giac"")","\int \frac{\log\left(\frac{a}{x}\right)}{a x - x^{2}}\,{d x}"," ",0,"integrate(log(a/x)/(a*x - x^2), x)","F",0
349,0,0,0,0.000000," ","integrate(log(a/x^2)/(-x^3+a*x),x, algorithm=""giac"")","\int -\frac{\log\left(\frac{a}{x^{2}}\right)}{x^{3} - a x}\,{d x}"," ",0,"integrate(-log(a/x^2)/(x^3 - a*x), x)","F",0
350,0,0,0,0.000000," ","integrate(log(a*x^(1-n))/(a*x-x^n),x, algorithm=""giac"")","\int \frac{\log\left(a x^{-n + 1}\right)}{a x - x^{n}}\,{d x}"," ",0,"integrate(log(a*x^(-n + 1))/(a*x - x^n), x)","F",0
351,1,351,0,0.780274," ","integrate((f*x)^(-1+m)*(d+e*x^m)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b d^{3} \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m} \log\left(c\right)}{f m} + \frac{b d^{3} f^{m} n x^{m} \log\left(x\right)}{f m} + \frac{3 \, b d^{2} f^{m} n x^{2 \, m} e \log\left(x\right)}{2 \, f m} + \frac{a d^{3} \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m}}{f m} + \frac{3 \, b d^{2} f^{m} x^{2 \, m} e \log\left(c\right)}{2 \, f m} + \frac{b d f^{m} n x^{3 \, m} e^{2} \log\left(x\right)}{f m} - \frac{b d^{3} f^{m} n x^{m}}{f m^{2}} + \frac{3 \, a d^{2} f^{m} x^{2 \, m} e}{2 \, f m} - \frac{3 \, b d^{2} f^{m} n x^{2 \, m} e}{4 \, f m^{2}} + \frac{b d f^{m} x^{3 \, m} e^{2} \log\left(c\right)}{f m} + \frac{b f^{m} n x^{4 \, m} e^{3} \log\left(x\right)}{4 \, f m} + \frac{a d f^{m} x^{3 \, m} e^{2}}{f m} - \frac{b d f^{m} n x^{3 \, m} e^{2}}{3 \, f m^{2}} + \frac{b f^{m} x^{4 \, m} e^{3} \log\left(c\right)}{4 \, f m} + \frac{a f^{m} x^{4 \, m} e^{3}}{4 \, f m} - \frac{b f^{m} n x^{4 \, m} e^{3}}{16 \, f m^{2}}"," ",0,"b*d^3*(1/f)^m*x^m*abs(f)^(2*m)*log(c)/(f*m) + b*d^3*f^m*n*x^m*log(x)/(f*m) + 3/2*b*d^2*f^m*n*x^(2*m)*e*log(x)/(f*m) + a*d^3*(1/f)^m*x^m*abs(f)^(2*m)/(f*m) + 3/2*b*d^2*f^m*x^(2*m)*e*log(c)/(f*m) + b*d*f^m*n*x^(3*m)*e^2*log(x)/(f*m) - b*d^3*f^m*n*x^m/(f*m^2) + 3/2*a*d^2*f^m*x^(2*m)*e/(f*m) - 3/4*b*d^2*f^m*n*x^(2*m)*e/(f*m^2) + b*d*f^m*x^(3*m)*e^2*log(c)/(f*m) + 1/4*b*f^m*n*x^(4*m)*e^3*log(x)/(f*m) + a*d*f^m*x^(3*m)*e^2/(f*m) - 1/3*b*d*f^m*n*x^(3*m)*e^2/(f*m^2) + 1/4*b*f^m*x^(4*m)*e^3*log(c)/(f*m) + 1/4*a*f^m*x^(4*m)*e^3/(f*m) - 1/16*b*f^m*n*x^(4*m)*e^3/(f*m^2)","B",0
352,1,257,0,0.735366," ","integrate((f*x)^(-1+m)*(d+e*x^m)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b d^{2} \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m} \log\left(c\right)}{f m} + \frac{b d^{2} f^{m} n x^{m} \log\left(x\right)}{f m} + \frac{b d f^{m} n x^{2 \, m} e \log\left(x\right)}{f m} + \frac{a d^{2} \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m}}{f m} + \frac{b d f^{m} x^{2 \, m} e \log\left(c\right)}{f m} + \frac{b f^{m} n x^{3 \, m} e^{2} \log\left(x\right)}{3 \, f m} - \frac{b d^{2} f^{m} n x^{m}}{f m^{2}} + \frac{a d f^{m} x^{2 \, m} e}{f m} - \frac{b d f^{m} n x^{2 \, m} e}{2 \, f m^{2}} + \frac{b f^{m} x^{3 \, m} e^{2} \log\left(c\right)}{3 \, f m} + \frac{a f^{m} x^{3 \, m} e^{2}}{3 \, f m} - \frac{b f^{m} n x^{3 \, m} e^{2}}{9 \, f m^{2}}"," ",0,"b*d^2*(1/f)^m*x^m*abs(f)^(2*m)*log(c)/(f*m) + b*d^2*f^m*n*x^m*log(x)/(f*m) + b*d*f^m*n*x^(2*m)*e*log(x)/(f*m) + a*d^2*(1/f)^m*x^m*abs(f)^(2*m)/(f*m) + b*d*f^m*x^(2*m)*e*log(c)/(f*m) + 1/3*b*f^m*n*x^(3*m)*e^2*log(x)/(f*m) - b*d^2*f^m*n*x^m/(f*m^2) + a*d*f^m*x^(2*m)*e/(f*m) - 1/2*b*d*f^m*n*x^(2*m)*e/(f*m^2) + 1/3*b*f^m*x^(3*m)*e^2*log(c)/(f*m) + 1/3*a*f^m*x^(3*m)*e^2/(f*m) - 1/9*b*f^m*n*x^(3*m)*e^2/(f*m^2)","A",0
353,1,166,0,0.544567," ","integrate((f*x)^(-1+m)*(d+e*x^m)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b d \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m} \log\left(c\right)}{f m} + \frac{b d f^{m} n x^{m} \log\left(x\right)}{f m} + \frac{b f^{m} n x^{2 \, m} e \log\left(x\right)}{2 \, f m} + \frac{a d \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m}}{f m} + \frac{b f^{m} x^{2 \, m} e \log\left(c\right)}{2 \, f m} - \frac{b d f^{m} n x^{m}}{f m^{2}} + \frac{a f^{m} x^{2 \, m} e}{2 \, f m} - \frac{b f^{m} n x^{2 \, m} e}{4 \, f m^{2}}"," ",0,"b*d*(1/f)^m*x^m*abs(f)^(2*m)*log(c)/(f*m) + b*d*f^m*n*x^m*log(x)/(f*m) + 1/2*b*f^m*n*x^(2*m)*e*log(x)/(f*m) + a*d*(1/f)^m*x^m*abs(f)^(2*m)/(f*m) + 1/2*b*f^m*x^(2*m)*e*log(c)/(f*m) - b*d*f^m*n*x^m/(f*m^2) + 1/2*a*f^m*x^(2*m)*e/(f*m) - 1/4*b*f^m*n*x^(2*m)*e/(f*m^2)","A",0
354,1,80,0,0.316760," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m} \log\left(c\right)}{f m} + \frac{b f^{m} n x^{m} \log\left(x\right)}{f m} + \frac{a \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m}}{f m} - \frac{b f^{m} n x^{m}}{f m^{2}}"," ",0,"b*(1/f)^m*x^m*abs(f)^(2*m)*log(c)/(f*m) + b*f^m*n*x^m*log(x)/(f*m) + a*(1/f)^m*x^m*abs(f)^(2*m)/(f*m) - b*f^m*n*x^m/(f*m^2)","B",0
355,0,0,0,0.000000," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))/(d+e*x^m),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \left(f x\right)^{m - 1}}{e x^{m} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(f*x)^(m - 1)/(e*x^m + d), x)","F",0
356,1,206,0,0.452049," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))/(d+e*x^m)^2,x, algorithm=""giac"")","\frac{b f^{m} m n x x^{m} e \log\left(x\right)}{d f m^{2} x x^{m} e^{2} + d^{2} f m^{2} x e} - \frac{b f^{m} n x x^{m} e \log\left(x^{m} e + d\right)}{d f m^{2} x x^{m} e^{2} + d^{2} f m^{2} x e} - \frac{b d f^{m} n x \log\left(x^{m} e + d\right)}{d f m^{2} x x^{m} e^{2} + d^{2} f m^{2} x e} - \frac{b d f^{m} m x \log\left(c\right)}{d f m^{2} x x^{m} e^{2} + d^{2} f m^{2} x e} - \frac{a d f^{m} m x}{d f m^{2} x x^{m} e^{2} + d^{2} f m^{2} x e}"," ",0,"b*f^m*m*n*x*x^m*e*log(x)/(d*f*m^2*x*x^m*e^2 + d^2*f*m^2*x*e) - b*f^m*n*x*x^m*e*log(x^m*e + d)/(d*f*m^2*x*x^m*e^2 + d^2*f*m^2*x*e) - b*d*f^m*n*x*log(x^m*e + d)/(d*f*m^2*x*x^m*e^2 + d^2*f*m^2*x*e) - b*d*f^m*m*x*log(c)/(d*f*m^2*x*x^m*e^2 + d^2*f*m^2*x*e) - a*d*f^m*m*x/(d*f*m^2*x*x^m*e^2 + d^2*f*m^2*x*e)","B",0
357,1,628,0,0.476655," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))/(d+e*x^m)^3,x, algorithm=""giac"")","\frac{b d f^{m} m n x^{2} x^{m} e \log\left(x\right)}{2 \, d^{3} f m^{2} x^{2} x^{m} e^{2} + d^{4} f m^{2} x^{2} e + d^{2} f m^{2} x^{2} x^{2 \, m} e^{3}} - \frac{b d f^{m} n x^{2} x^{m} e \log\left(x^{m} e + d\right)}{2 \, d^{3} f m^{2} x^{2} x^{m} e^{2} + d^{4} f m^{2} x^{2} e + d^{2} f m^{2} x^{2} x^{2 \, m} e^{3}} + \frac{b f^{m} m n x^{2} x^{2 \, m} e^{2} \log\left(x\right)}{2 \, {\left(2 \, d^{3} f m^{2} x^{2} x^{m} e^{2} + d^{4} f m^{2} x^{2} e + d^{2} f m^{2} x^{2} x^{2 \, m} e^{3}\right)}} + \frac{b d f^{m} n x^{2} x^{m} e}{2 \, {\left(2 \, d^{3} f m^{2} x^{2} x^{m} e^{2} + d^{4} f m^{2} x^{2} e + d^{2} f m^{2} x^{2} x^{2 \, m} e^{3}\right)}} - \frac{b d^{2} f^{m} n x^{2} \log\left(x^{m} e + d\right)}{2 \, {\left(2 \, d^{3} f m^{2} x^{2} x^{m} e^{2} + d^{4} f m^{2} x^{2} e + d^{2} f m^{2} x^{2} x^{2 \, m} e^{3}\right)}} - \frac{b f^{m} n x^{2} x^{2 \, m} e^{2} \log\left(x^{m} e + d\right)}{2 \, {\left(2 \, d^{3} f m^{2} x^{2} x^{m} e^{2} + d^{4} f m^{2} x^{2} e + d^{2} f m^{2} x^{2} x^{2 \, m} e^{3}\right)}} - \frac{b d^{2} f^{m} m x^{2} \log\left(c\right)}{2 \, {\left(2 \, d^{3} f m^{2} x^{2} x^{m} e^{2} + d^{4} f m^{2} x^{2} e + d^{2} f m^{2} x^{2} x^{2 \, m} e^{3}\right)}} - \frac{a d^{2} f^{m} m x^{2}}{2 \, {\left(2 \, d^{3} f m^{2} x^{2} x^{m} e^{2} + d^{4} f m^{2} x^{2} e + d^{2} f m^{2} x^{2} x^{2 \, m} e^{3}\right)}} + \frac{b d^{2} f^{m} n x^{2}}{2 \, {\left(2 \, d^{3} f m^{2} x^{2} x^{m} e^{2} + d^{4} f m^{2} x^{2} e + d^{2} f m^{2} x^{2} x^{2 \, m} e^{3}\right)}}"," ",0,"b*d*f^m*m*n*x^2*x^m*e*log(x)/(2*d^3*f*m^2*x^2*x^m*e^2 + d^4*f*m^2*x^2*e + d^2*f*m^2*x^2*x^(2*m)*e^3) - b*d*f^m*n*x^2*x^m*e*log(x^m*e + d)/(2*d^3*f*m^2*x^2*x^m*e^2 + d^4*f*m^2*x^2*e + d^2*f*m^2*x^2*x^(2*m)*e^3) + 1/2*b*f^m*m*n*x^2*x^(2*m)*e^2*log(x)/(2*d^3*f*m^2*x^2*x^m*e^2 + d^4*f*m^2*x^2*e + d^2*f*m^2*x^2*x^(2*m)*e^3) + 1/2*b*d*f^m*n*x^2*x^m*e/(2*d^3*f*m^2*x^2*x^m*e^2 + d^4*f*m^2*x^2*e + d^2*f*m^2*x^2*x^(2*m)*e^3) - 1/2*b*d^2*f^m*n*x^2*log(x^m*e + d)/(2*d^3*f*m^2*x^2*x^m*e^2 + d^4*f*m^2*x^2*e + d^2*f*m^2*x^2*x^(2*m)*e^3) - 1/2*b*f^m*n*x^2*x^(2*m)*e^2*log(x^m*e + d)/(2*d^3*f*m^2*x^2*x^m*e^2 + d^4*f*m^2*x^2*e + d^2*f*m^2*x^2*x^(2*m)*e^3) - 1/2*b*d^2*f^m*m*x^2*log(c)/(2*d^3*f*m^2*x^2*x^m*e^2 + d^4*f*m^2*x^2*e + d^2*f*m^2*x^2*x^(2*m)*e^3) - 1/2*a*d^2*f^m*m*x^2/(2*d^3*f*m^2*x^2*x^m*e^2 + d^4*f*m^2*x^2*e + d^2*f*m^2*x^2*x^(2*m)*e^3) + 1/2*b*d^2*f^m*n*x^2/(2*d^3*f*m^2*x^2*x^m*e^2 + d^4*f*m^2*x^2*e + d^2*f*m^2*x^2*x^(2*m)*e^3)","B",0
358,1,1080,0,0.639235," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))/(d+e*x^m)^4,x, algorithm=""giac"")","\frac{b d^{2} f^{m} m n x^{3} x^{m} e \log\left(x\right)}{3 \, d^{5} f m^{2} x^{3} x^{m} e^{2} + d^{6} f m^{2} x^{3} e + 3 \, d^{4} f m^{2} x^{3} x^{2 \, m} e^{3} + d^{3} f m^{2} x^{3} x^{3 \, m} e^{4}} - \frac{b d^{2} f^{m} n x^{3} x^{m} e \log\left(x^{m} e + d\right)}{3 \, d^{5} f m^{2} x^{3} x^{m} e^{2} + d^{6} f m^{2} x^{3} e + 3 \, d^{4} f m^{2} x^{3} x^{2 \, m} e^{3} + d^{3} f m^{2} x^{3} x^{3 \, m} e^{4}} + \frac{b d f^{m} m n x^{3} x^{2 \, m} e^{2} \log\left(x\right)}{3 \, d^{5} f m^{2} x^{3} x^{m} e^{2} + d^{6} f m^{2} x^{3} e + 3 \, d^{4} f m^{2} x^{3} x^{2 \, m} e^{3} + d^{3} f m^{2} x^{3} x^{3 \, m} e^{4}} + \frac{5 \, b d^{2} f^{m} n x^{3} x^{m} e}{6 \, {\left(3 \, d^{5} f m^{2} x^{3} x^{m} e^{2} + d^{6} f m^{2} x^{3} e + 3 \, d^{4} f m^{2} x^{3} x^{2 \, m} e^{3} + d^{3} f m^{2} x^{3} x^{3 \, m} e^{4}\right)}} - \frac{b d^{3} f^{m} n x^{3} \log\left(x^{m} e + d\right)}{3 \, {\left(3 \, d^{5} f m^{2} x^{3} x^{m} e^{2} + d^{6} f m^{2} x^{3} e + 3 \, d^{4} f m^{2} x^{3} x^{2 \, m} e^{3} + d^{3} f m^{2} x^{3} x^{3 \, m} e^{4}\right)}} - \frac{b d f^{m} n x^{3} x^{2 \, m} e^{2} \log\left(x^{m} e + d\right)}{3 \, d^{5} f m^{2} x^{3} x^{m} e^{2} + d^{6} f m^{2} x^{3} e + 3 \, d^{4} f m^{2} x^{3} x^{2 \, m} e^{3} + d^{3} f m^{2} x^{3} x^{3 \, m} e^{4}} - \frac{b d^{3} f^{m} m x^{3} \log\left(c\right)}{3 \, {\left(3 \, d^{5} f m^{2} x^{3} x^{m} e^{2} + d^{6} f m^{2} x^{3} e + 3 \, d^{4} f m^{2} x^{3} x^{2 \, m} e^{3} + d^{3} f m^{2} x^{3} x^{3 \, m} e^{4}\right)}} + \frac{b f^{m} m n x^{3} x^{3 \, m} e^{3} \log\left(x\right)}{3 \, {\left(3 \, d^{5} f m^{2} x^{3} x^{m} e^{2} + d^{6} f m^{2} x^{3} e + 3 \, d^{4} f m^{2} x^{3} x^{2 \, m} e^{3} + d^{3} f m^{2} x^{3} x^{3 \, m} e^{4}\right)}} - \frac{a d^{3} f^{m} m x^{3}}{3 \, {\left(3 \, d^{5} f m^{2} x^{3} x^{m} e^{2} + d^{6} f m^{2} x^{3} e + 3 \, d^{4} f m^{2} x^{3} x^{2 \, m} e^{3} + d^{3} f m^{2} x^{3} x^{3 \, m} e^{4}\right)}} + \frac{b d^{3} f^{m} n x^{3}}{2 \, {\left(3 \, d^{5} f m^{2} x^{3} x^{m} e^{2} + d^{6} f m^{2} x^{3} e + 3 \, d^{4} f m^{2} x^{3} x^{2 \, m} e^{3} + d^{3} f m^{2} x^{3} x^{3 \, m} e^{4}\right)}} + \frac{b d f^{m} n x^{3} x^{2 \, m} e^{2}}{3 \, {\left(3 \, d^{5} f m^{2} x^{3} x^{m} e^{2} + d^{6} f m^{2} x^{3} e + 3 \, d^{4} f m^{2} x^{3} x^{2 \, m} e^{3} + d^{3} f m^{2} x^{3} x^{3 \, m} e^{4}\right)}} - \frac{b f^{m} n x^{3} x^{3 \, m} e^{3} \log\left(x^{m} e + d\right)}{3 \, {\left(3 \, d^{5} f m^{2} x^{3} x^{m} e^{2} + d^{6} f m^{2} x^{3} e + 3 \, d^{4} f m^{2} x^{3} x^{2 \, m} e^{3} + d^{3} f m^{2} x^{3} x^{3 \, m} e^{4}\right)}}"," ",0,"b*d^2*f^m*m*n*x^3*x^m*e*log(x)/(3*d^5*f*m^2*x^3*x^m*e^2 + d^6*f*m^2*x^3*e + 3*d^4*f*m^2*x^3*x^(2*m)*e^3 + d^3*f*m^2*x^3*x^(3*m)*e^4) - b*d^2*f^m*n*x^3*x^m*e*log(x^m*e + d)/(3*d^5*f*m^2*x^3*x^m*e^2 + d^6*f*m^2*x^3*e + 3*d^4*f*m^2*x^3*x^(2*m)*e^3 + d^3*f*m^2*x^3*x^(3*m)*e^4) + b*d*f^m*m*n*x^3*x^(2*m)*e^2*log(x)/(3*d^5*f*m^2*x^3*x^m*e^2 + d^6*f*m^2*x^3*e + 3*d^4*f*m^2*x^3*x^(2*m)*e^3 + d^3*f*m^2*x^3*x^(3*m)*e^4) + 5/6*b*d^2*f^m*n*x^3*x^m*e/(3*d^5*f*m^2*x^3*x^m*e^2 + d^6*f*m^2*x^3*e + 3*d^4*f*m^2*x^3*x^(2*m)*e^3 + d^3*f*m^2*x^3*x^(3*m)*e^4) - 1/3*b*d^3*f^m*n*x^3*log(x^m*e + d)/(3*d^5*f*m^2*x^3*x^m*e^2 + d^6*f*m^2*x^3*e + 3*d^4*f*m^2*x^3*x^(2*m)*e^3 + d^3*f*m^2*x^3*x^(3*m)*e^4) - b*d*f^m*n*x^3*x^(2*m)*e^2*log(x^m*e + d)/(3*d^5*f*m^2*x^3*x^m*e^2 + d^6*f*m^2*x^3*e + 3*d^4*f*m^2*x^3*x^(2*m)*e^3 + d^3*f*m^2*x^3*x^(3*m)*e^4) - 1/3*b*d^3*f^m*m*x^3*log(c)/(3*d^5*f*m^2*x^3*x^m*e^2 + d^6*f*m^2*x^3*e + 3*d^4*f*m^2*x^3*x^(2*m)*e^3 + d^3*f*m^2*x^3*x^(3*m)*e^4) + 1/3*b*f^m*m*n*x^3*x^(3*m)*e^3*log(x)/(3*d^5*f*m^2*x^3*x^m*e^2 + d^6*f*m^2*x^3*e + 3*d^4*f*m^2*x^3*x^(2*m)*e^3 + d^3*f*m^2*x^3*x^(3*m)*e^4) - 1/3*a*d^3*f^m*m*x^3/(3*d^5*f*m^2*x^3*x^m*e^2 + d^6*f*m^2*x^3*e + 3*d^4*f*m^2*x^3*x^(2*m)*e^3 + d^3*f*m^2*x^3*x^(3*m)*e^4) + 1/2*b*d^3*f^m*n*x^3/(3*d^5*f*m^2*x^3*x^m*e^2 + d^6*f*m^2*x^3*e + 3*d^4*f*m^2*x^3*x^(2*m)*e^3 + d^3*f*m^2*x^3*x^(3*m)*e^4) + 1/3*b*d*f^m*n*x^3*x^(2*m)*e^2/(3*d^5*f*m^2*x^3*x^m*e^2 + d^6*f*m^2*x^3*e + 3*d^4*f*m^2*x^3*x^(2*m)*e^3 + d^3*f*m^2*x^3*x^(3*m)*e^4) - 1/3*b*f^m*n*x^3*x^(3*m)*e^3*log(x^m*e + d)/(3*d^5*f*m^2*x^3*x^m*e^2 + d^6*f*m^2*x^3*e + 3*d^4*f*m^2*x^3*x^(2*m)*e^3 + d^3*f*m^2*x^3*x^(3*m)*e^4)","B",0
359,1,1009,0,1.569517," ","integrate((f*x)^(-1+m)*(d+e*x^m)^3*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{b^{2} d^{3} f^{m} n^{2} x^{m} \log\left(x\right)^{2}}{f m} + \frac{3 \, b^{2} d^{2} f^{m} n^{2} x^{2 \, m} e \log\left(x\right)^{2}}{2 \, f m} + \frac{b^{2} d^{3} \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m} \log\left(c\right)^{2}}{f m} + \frac{2 \, b^{2} d^{3} f^{m} n x^{m} \log\left(c\right) \log\left(x\right)}{f m} + \frac{3 \, b^{2} d^{2} f^{m} n x^{2 \, m} e \log\left(c\right) \log\left(x\right)}{f m} + \frac{b^{2} d f^{m} n^{2} x^{3 \, m} e^{2} \log\left(x\right)^{2}}{f m} + \frac{2 \, a b d^{3} \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m} \log\left(c\right)}{f m} + \frac{3 \, b^{2} d^{2} f^{m} x^{2 \, m} e \log\left(c\right)^{2}}{2 \, f m} + \frac{2 \, a b d^{3} f^{m} n x^{m} \log\left(x\right)}{f m} - \frac{2 \, b^{2} d^{3} f^{m} n^{2} x^{m} \log\left(x\right)}{f m^{2}} + \frac{3 \, a b d^{2} f^{m} n x^{2 \, m} e \log\left(x\right)}{f m} - \frac{3 \, b^{2} d^{2} f^{m} n^{2} x^{2 \, m} e \log\left(x\right)}{2 \, f m^{2}} + \frac{2 \, b^{2} d f^{m} n x^{3 \, m} e^{2} \log\left(c\right) \log\left(x\right)}{f m} + \frac{b^{2} f^{m} n^{2} x^{4 \, m} e^{3} \log\left(x\right)^{2}}{4 \, f m} + \frac{a^{2} d^{3} \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m}}{f m} - \frac{2 \, b^{2} d^{3} f^{m} n x^{m} \log\left(c\right)}{f m^{2}} + \frac{3 \, a b d^{2} f^{m} x^{2 \, m} e \log\left(c\right)}{f m} - \frac{3 \, b^{2} d^{2} f^{m} n x^{2 \, m} e \log\left(c\right)}{2 \, f m^{2}} + \frac{b^{2} d f^{m} x^{3 \, m} e^{2} \log\left(c\right)^{2}}{f m} + \frac{2 \, a b d f^{m} n x^{3 \, m} e^{2} \log\left(x\right)}{f m} - \frac{2 \, b^{2} d f^{m} n^{2} x^{3 \, m} e^{2} \log\left(x\right)}{3 \, f m^{2}} + \frac{b^{2} f^{m} n x^{4 \, m} e^{3} \log\left(c\right) \log\left(x\right)}{2 \, f m} - \frac{2 \, a b d^{3} f^{m} n x^{m}}{f m^{2}} + \frac{2 \, b^{2} d^{3} f^{m} n^{2} x^{m}}{f m^{3}} + \frac{3 \, a^{2} d^{2} f^{m} x^{2 \, m} e}{2 \, f m} - \frac{3 \, a b d^{2} f^{m} n x^{2 \, m} e}{2 \, f m^{2}} + \frac{3 \, b^{2} d^{2} f^{m} n^{2} x^{2 \, m} e}{4 \, f m^{3}} + \frac{2 \, a b d f^{m} x^{3 \, m} e^{2} \log\left(c\right)}{f m} - \frac{2 \, b^{2} d f^{m} n x^{3 \, m} e^{2} \log\left(c\right)}{3 \, f m^{2}} + \frac{b^{2} f^{m} x^{4 \, m} e^{3} \log\left(c\right)^{2}}{4 \, f m} + \frac{a b f^{m} n x^{4 \, m} e^{3} \log\left(x\right)}{2 \, f m} - \frac{b^{2} f^{m} n^{2} x^{4 \, m} e^{3} \log\left(x\right)}{8 \, f m^{2}} + \frac{a^{2} d f^{m} x^{3 \, m} e^{2}}{f m} - \frac{2 \, a b d f^{m} n x^{3 \, m} e^{2}}{3 \, f m^{2}} + \frac{2 \, b^{2} d f^{m} n^{2} x^{3 \, m} e^{2}}{9 \, f m^{3}} + \frac{a b f^{m} x^{4 \, m} e^{3} \log\left(c\right)}{2 \, f m} - \frac{b^{2} f^{m} n x^{4 \, m} e^{3} \log\left(c\right)}{8 \, f m^{2}} + \frac{a^{2} f^{m} x^{4 \, m} e^{3}}{4 \, f m} - \frac{a b f^{m} n x^{4 \, m} e^{3}}{8 \, f m^{2}} + \frac{b^{2} f^{m} n^{2} x^{4 \, m} e^{3}}{32 \, f m^{3}}"," ",0,"b^2*d^3*f^m*n^2*x^m*log(x)^2/(f*m) + 3/2*b^2*d^2*f^m*n^2*x^(2*m)*e*log(x)^2/(f*m) + b^2*d^3*(1/f)^m*x^m*abs(f)^(2*m)*log(c)^2/(f*m) + 2*b^2*d^3*f^m*n*x^m*log(c)*log(x)/(f*m) + 3*b^2*d^2*f^m*n*x^(2*m)*e*log(c)*log(x)/(f*m) + b^2*d*f^m*n^2*x^(3*m)*e^2*log(x)^2/(f*m) + 2*a*b*d^3*(1/f)^m*x^m*abs(f)^(2*m)*log(c)/(f*m) + 3/2*b^2*d^2*f^m*x^(2*m)*e*log(c)^2/(f*m) + 2*a*b*d^3*f^m*n*x^m*log(x)/(f*m) - 2*b^2*d^3*f^m*n^2*x^m*log(x)/(f*m^2) + 3*a*b*d^2*f^m*n*x^(2*m)*e*log(x)/(f*m) - 3/2*b^2*d^2*f^m*n^2*x^(2*m)*e*log(x)/(f*m^2) + 2*b^2*d*f^m*n*x^(3*m)*e^2*log(c)*log(x)/(f*m) + 1/4*b^2*f^m*n^2*x^(4*m)*e^3*log(x)^2/(f*m) + a^2*d^3*(1/f)^m*x^m*abs(f)^(2*m)/(f*m) - 2*b^2*d^3*f^m*n*x^m*log(c)/(f*m^2) + 3*a*b*d^2*f^m*x^(2*m)*e*log(c)/(f*m) - 3/2*b^2*d^2*f^m*n*x^(2*m)*e*log(c)/(f*m^2) + b^2*d*f^m*x^(3*m)*e^2*log(c)^2/(f*m) + 2*a*b*d*f^m*n*x^(3*m)*e^2*log(x)/(f*m) - 2/3*b^2*d*f^m*n^2*x^(3*m)*e^2*log(x)/(f*m^2) + 1/2*b^2*f^m*n*x^(4*m)*e^3*log(c)*log(x)/(f*m) - 2*a*b*d^3*f^m*n*x^m/(f*m^2) + 2*b^2*d^3*f^m*n^2*x^m/(f*m^3) + 3/2*a^2*d^2*f^m*x^(2*m)*e/(f*m) - 3/2*a*b*d^2*f^m*n*x^(2*m)*e/(f*m^2) + 3/4*b^2*d^2*f^m*n^2*x^(2*m)*e/(f*m^3) + 2*a*b*d*f^m*x^(3*m)*e^2*log(c)/(f*m) - 2/3*b^2*d*f^m*n*x^(3*m)*e^2*log(c)/(f*m^2) + 1/4*b^2*f^m*x^(4*m)*e^3*log(c)^2/(f*m) + 1/2*a*b*f^m*n*x^(4*m)*e^3*log(x)/(f*m) - 1/8*b^2*f^m*n^2*x^(4*m)*e^3*log(x)/(f*m^2) + a^2*d*f^m*x^(3*m)*e^2/(f*m) - 2/3*a*b*d*f^m*n*x^(3*m)*e^2/(f*m^2) + 2/9*b^2*d*f^m*n^2*x^(3*m)*e^2/(f*m^3) + 1/2*a*b*f^m*x^(4*m)*e^3*log(c)/(f*m) - 1/8*b^2*f^m*n*x^(4*m)*e^3*log(c)/(f*m^2) + 1/4*a^2*f^m*x^(4*m)*e^3/(f*m) - 1/8*a*b*f^m*n*x^(4*m)*e^3/(f*m^2) + 1/32*b^2*f^m*n^2*x^(4*m)*e^3/(f*m^3)","B",0
360,1,739,0,0.959086," ","integrate((f*x)^(-1+m)*(d+e*x^m)^2*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{b^{2} d^{2} f^{m} n^{2} x^{m} \log\left(x\right)^{2}}{f m} + \frac{b^{2} d f^{m} n^{2} x^{2 \, m} e \log\left(x\right)^{2}}{f m} + \frac{b^{2} d^{2} \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m} \log\left(c\right)^{2}}{f m} + \frac{2 \, b^{2} d^{2} f^{m} n x^{m} \log\left(c\right) \log\left(x\right)}{f m} + \frac{2 \, b^{2} d f^{m} n x^{2 \, m} e \log\left(c\right) \log\left(x\right)}{f m} + \frac{b^{2} f^{m} n^{2} x^{3 \, m} e^{2} \log\left(x\right)^{2}}{3 \, f m} + \frac{2 \, a b d^{2} \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m} \log\left(c\right)}{f m} + \frac{b^{2} d f^{m} x^{2 \, m} e \log\left(c\right)^{2}}{f m} + \frac{2 \, a b d^{2} f^{m} n x^{m} \log\left(x\right)}{f m} - \frac{2 \, b^{2} d^{2} f^{m} n^{2} x^{m} \log\left(x\right)}{f m^{2}} + \frac{2 \, a b d f^{m} n x^{2 \, m} e \log\left(x\right)}{f m} - \frac{b^{2} d f^{m} n^{2} x^{2 \, m} e \log\left(x\right)}{f m^{2}} + \frac{2 \, b^{2} f^{m} n x^{3 \, m} e^{2} \log\left(c\right) \log\left(x\right)}{3 \, f m} + \frac{a^{2} d^{2} \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m}}{f m} - \frac{2 \, b^{2} d^{2} f^{m} n x^{m} \log\left(c\right)}{f m^{2}} + \frac{2 \, a b d f^{m} x^{2 \, m} e \log\left(c\right)}{f m} - \frac{b^{2} d f^{m} n x^{2 \, m} e \log\left(c\right)}{f m^{2}} + \frac{b^{2} f^{m} x^{3 \, m} e^{2} \log\left(c\right)^{2}}{3 \, f m} + \frac{2 \, a b f^{m} n x^{3 \, m} e^{2} \log\left(x\right)}{3 \, f m} - \frac{2 \, b^{2} f^{m} n^{2} x^{3 \, m} e^{2} \log\left(x\right)}{9 \, f m^{2}} - \frac{2 \, a b d^{2} f^{m} n x^{m}}{f m^{2}} + \frac{2 \, b^{2} d^{2} f^{m} n^{2} x^{m}}{f m^{3}} + \frac{a^{2} d f^{m} x^{2 \, m} e}{f m} - \frac{a b d f^{m} n x^{2 \, m} e}{f m^{2}} + \frac{b^{2} d f^{m} n^{2} x^{2 \, m} e}{2 \, f m^{3}} + \frac{2 \, a b f^{m} x^{3 \, m} e^{2} \log\left(c\right)}{3 \, f m} - \frac{2 \, b^{2} f^{m} n x^{3 \, m} e^{2} \log\left(c\right)}{9 \, f m^{2}} + \frac{a^{2} f^{m} x^{3 \, m} e^{2}}{3 \, f m} - \frac{2 \, a b f^{m} n x^{3 \, m} e^{2}}{9 \, f m^{2}} + \frac{2 \, b^{2} f^{m} n^{2} x^{3 \, m} e^{2}}{27 \, f m^{3}}"," ",0,"b^2*d^2*f^m*n^2*x^m*log(x)^2/(f*m) + b^2*d*f^m*n^2*x^(2*m)*e*log(x)^2/(f*m) + b^2*d^2*(1/f)^m*x^m*abs(f)^(2*m)*log(c)^2/(f*m) + 2*b^2*d^2*f^m*n*x^m*log(c)*log(x)/(f*m) + 2*b^2*d*f^m*n*x^(2*m)*e*log(c)*log(x)/(f*m) + 1/3*b^2*f^m*n^2*x^(3*m)*e^2*log(x)^2/(f*m) + 2*a*b*d^2*(1/f)^m*x^m*abs(f)^(2*m)*log(c)/(f*m) + b^2*d*f^m*x^(2*m)*e*log(c)^2/(f*m) + 2*a*b*d^2*f^m*n*x^m*log(x)/(f*m) - 2*b^2*d^2*f^m*n^2*x^m*log(x)/(f*m^2) + 2*a*b*d*f^m*n*x^(2*m)*e*log(x)/(f*m) - b^2*d*f^m*n^2*x^(2*m)*e*log(x)/(f*m^2) + 2/3*b^2*f^m*n*x^(3*m)*e^2*log(c)*log(x)/(f*m) + a^2*d^2*(1/f)^m*x^m*abs(f)^(2*m)/(f*m) - 2*b^2*d^2*f^m*n*x^m*log(c)/(f*m^2) + 2*a*b*d*f^m*x^(2*m)*e*log(c)/(f*m) - b^2*d*f^m*n*x^(2*m)*e*log(c)/(f*m^2) + 1/3*b^2*f^m*x^(3*m)*e^2*log(c)^2/(f*m) + 2/3*a*b*f^m*n*x^(3*m)*e^2*log(x)/(f*m) - 2/9*b^2*f^m*n^2*x^(3*m)*e^2*log(x)/(f*m^2) - 2*a*b*d^2*f^m*n*x^m/(f*m^2) + 2*b^2*d^2*f^m*n^2*x^m/(f*m^3) + a^2*d*f^m*x^(2*m)*e/(f*m) - a*b*d*f^m*n*x^(2*m)*e/(f*m^2) + 1/2*b^2*d*f^m*n^2*x^(2*m)*e/(f*m^3) + 2/3*a*b*f^m*x^(3*m)*e^2*log(c)/(f*m) - 2/9*b^2*f^m*n*x^(3*m)*e^2*log(c)/(f*m^2) + 1/3*a^2*f^m*x^(3*m)*e^2/(f*m) - 2/9*a*b*f^m*n*x^(3*m)*e^2/(f*m^2) + 2/27*b^2*f^m*n^2*x^(3*m)*e^2/(f*m^3)","B",0
361,1,469,0,0.752789," ","integrate((f*x)^(-1+m)*(d+e*x^m)*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{b^{2} d f^{m} n^{2} x^{m} \log\left(x\right)^{2}}{f m} + \frac{b^{2} f^{m} n^{2} x^{2 \, m} e \log\left(x\right)^{2}}{2 \, f m} + \frac{b^{2} d \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m} \log\left(c\right)^{2}}{f m} + \frac{2 \, b^{2} d f^{m} n x^{m} \log\left(c\right) \log\left(x\right)}{f m} + \frac{b^{2} f^{m} n x^{2 \, m} e \log\left(c\right) \log\left(x\right)}{f m} + \frac{2 \, a b d \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m} \log\left(c\right)}{f m} + \frac{b^{2} f^{m} x^{2 \, m} e \log\left(c\right)^{2}}{2 \, f m} + \frac{2 \, a b d f^{m} n x^{m} \log\left(x\right)}{f m} - \frac{2 \, b^{2} d f^{m} n^{2} x^{m} \log\left(x\right)}{f m^{2}} + \frac{a b f^{m} n x^{2 \, m} e \log\left(x\right)}{f m} - \frac{b^{2} f^{m} n^{2} x^{2 \, m} e \log\left(x\right)}{2 \, f m^{2}} + \frac{a^{2} d \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m}}{f m} - \frac{2 \, b^{2} d f^{m} n x^{m} \log\left(c\right)}{f m^{2}} + \frac{a b f^{m} x^{2 \, m} e \log\left(c\right)}{f m} - \frac{b^{2} f^{m} n x^{2 \, m} e \log\left(c\right)}{2 \, f m^{2}} - \frac{2 \, a b d f^{m} n x^{m}}{f m^{2}} + \frac{2 \, b^{2} d f^{m} n^{2} x^{m}}{f m^{3}} + \frac{a^{2} f^{m} x^{2 \, m} e}{2 \, f m} - \frac{a b f^{m} n x^{2 \, m} e}{2 \, f m^{2}} + \frac{b^{2} f^{m} n^{2} x^{2 \, m} e}{4 \, f m^{3}}"," ",0,"b^2*d*f^m*n^2*x^m*log(x)^2/(f*m) + 1/2*b^2*f^m*n^2*x^(2*m)*e*log(x)^2/(f*m) + b^2*d*(1/f)^m*x^m*abs(f)^(2*m)*log(c)^2/(f*m) + 2*b^2*d*f^m*n*x^m*log(c)*log(x)/(f*m) + b^2*f^m*n*x^(2*m)*e*log(c)*log(x)/(f*m) + 2*a*b*d*(1/f)^m*x^m*abs(f)^(2*m)*log(c)/(f*m) + 1/2*b^2*f^m*x^(2*m)*e*log(c)^2/(f*m) + 2*a*b*d*f^m*n*x^m*log(x)/(f*m) - 2*b^2*d*f^m*n^2*x^m*log(x)/(f*m^2) + a*b*f^m*n*x^(2*m)*e*log(x)/(f*m) - 1/2*b^2*f^m*n^2*x^(2*m)*e*log(x)/(f*m^2) + a^2*d*(1/f)^m*x^m*abs(f)^(2*m)/(f*m) - 2*b^2*d*f^m*n*x^m*log(c)/(f*m^2) + a*b*f^m*x^(2*m)*e*log(c)/(f*m) - 1/2*b^2*f^m*n*x^(2*m)*e*log(c)/(f*m^2) - 2*a*b*d*f^m*n*x^m/(f*m^2) + 2*b^2*d*f^m*n^2*x^m/(f*m^3) + 1/2*a^2*f^m*x^(2*m)*e/(f*m) - 1/2*a*b*f^m*n*x^(2*m)*e/(f*m^2) + 1/4*b^2*f^m*n^2*x^(2*m)*e/(f*m^3)","B",0
362,1,222,0,0.593086," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{b^{2} f^{m} n^{2} x^{m} \log\left(x\right)^{2}}{f m} + \frac{b^{2} \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m} \log\left(c\right)^{2}}{f m} + \frac{2 \, b^{2} f^{m} n x^{m} \log\left(c\right) \log\left(x\right)}{f m} + \frac{2 \, a b \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m} \log\left(c\right)}{f m} + \frac{2 \, a b f^{m} n x^{m} \log\left(x\right)}{f m} - \frac{2 \, b^{2} f^{m} n^{2} x^{m} \log\left(x\right)}{f m^{2}} + \frac{a^{2} \frac{1}{f}^{m} x^{m} {\left| f \right|}^{2 \, m}}{f m} - \frac{2 \, b^{2} f^{m} n x^{m} \log\left(c\right)}{f m^{2}} - \frac{2 \, a b f^{m} n x^{m}}{f m^{2}} + \frac{2 \, b^{2} f^{m} n^{2} x^{m}}{f m^{3}}"," ",0,"b^2*f^m*n^2*x^m*log(x)^2/(f*m) + b^2*(1/f)^m*x^m*abs(f)^(2*m)*log(c)^2/(f*m) + 2*b^2*f^m*n*x^m*log(c)*log(x)/(f*m) + 2*a*b*(1/f)^m*x^m*abs(f)^(2*m)*log(c)/(f*m) + 2*a*b*f^m*n*x^m*log(x)/(f*m) - 2*b^2*f^m*n^2*x^m*log(x)/(f*m^2) + a^2*(1/f)^m*x^m*abs(f)^(2*m)/(f*m) - 2*b^2*f^m*n*x^m*log(c)/(f*m^2) - 2*a*b*f^m*n*x^m/(f*m^2) + 2*b^2*f^m*n^2*x^m/(f*m^3)","B",0
363,0,0,0,0.000000," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2/(d+e*x^m),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} \left(f x\right)^{m - 1}}{e x^{m} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*(f*x)^(m - 1)/(e*x^m + d), x)","F",0
364,0,0,0,0.000000," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2/(d+e*x^m)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} \left(f x\right)^{m - 1}}{{\left(e x^{m} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*(f*x)^(m - 1)/(e*x^m + d)^2, x)","F",0
365,0,0,0,0.000000," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2/(d+e*x^m)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} \left(f x\right)^{m - 1}}{{\left(e x^{m} + d\right)}^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*(f*x)^(m - 1)/(e*x^m + d)^3, x)","F",0
366,0,0,0,0.000000," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2/(d+e*x^m)^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} \left(f x\right)^{m - 1}}{{\left(e x^{m} + d\right)}^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*(f*x)^(m - 1)/(e*x^m + d)^4, x)","F",0
367,1,137,0,0.353581," ","integrate(x^5*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b n r x^{6} x^{r} e \log\left(x\right)}{r^{2} + 12 \, r + 36} + \frac{1}{6} \, b d n x^{6} \log\left(x\right) + \frac{6 \, b n x^{6} x^{r} e \log\left(x\right)}{r^{2} + 12 \, r + 36} - \frac{1}{36} \, b d n x^{6} - \frac{b n x^{6} x^{r} e}{r^{2} + 12 \, r + 36} + \frac{1}{6} \, b d x^{6} \log\left(c\right) + \frac{b x^{6} x^{r} e \log\left(c\right)}{r + 6} + \frac{1}{6} \, a d x^{6} + \frac{a x^{6} x^{r} e}{r + 6}"," ",0,"b*n*r*x^6*x^r*e*log(x)/(r^2 + 12*r + 36) + 1/6*b*d*n*x^6*log(x) + 6*b*n*x^6*x^r*e*log(x)/(r^2 + 12*r + 36) - 1/36*b*d*n*x^6 - b*n*x^6*x^r*e/(r^2 + 12*r + 36) + 1/6*b*d*x^6*log(c) + b*x^6*x^r*e*log(c)/(r + 6) + 1/6*a*d*x^6 + a*x^6*x^r*e/(r + 6)","B",0
368,1,137,0,0.358685," ","integrate(x^3*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b n r x^{4} x^{r} e \log\left(x\right)}{r^{2} + 8 \, r + 16} + \frac{1}{4} \, b d n x^{4} \log\left(x\right) + \frac{4 \, b n x^{4} x^{r} e \log\left(x\right)}{r^{2} + 8 \, r + 16} - \frac{1}{16} \, b d n x^{4} - \frac{b n x^{4} x^{r} e}{r^{2} + 8 \, r + 16} + \frac{1}{4} \, b d x^{4} \log\left(c\right) + \frac{b x^{4} x^{r} e \log\left(c\right)}{r + 4} + \frac{1}{4} \, a d x^{4} + \frac{a x^{4} x^{r} e}{r + 4}"," ",0,"b*n*r*x^4*x^r*e*log(x)/(r^2 + 8*r + 16) + 1/4*b*d*n*x^4*log(x) + 4*b*n*x^4*x^r*e*log(x)/(r^2 + 8*r + 16) - 1/16*b*d*n*x^4 - b*n*x^4*x^r*e/(r^2 + 8*r + 16) + 1/4*b*d*x^4*log(c) + b*x^4*x^r*e*log(c)/(r + 4) + 1/4*a*d*x^4 + a*x^4*x^r*e/(r + 4)","B",0
369,1,137,0,0.343019," ","integrate(x*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b n r x^{2} x^{r} e \log\left(x\right)}{r^{2} + 4 \, r + 4} + \frac{1}{2} \, b d n x^{2} \log\left(x\right) + \frac{2 \, b n x^{2} x^{r} e \log\left(x\right)}{r^{2} + 4 \, r + 4} - \frac{1}{4} \, b d n x^{2} - \frac{b n x^{2} x^{r} e}{r^{2} + 4 \, r + 4} + \frac{1}{2} \, b d x^{2} \log\left(c\right) + \frac{b x^{2} x^{r} e \log\left(c\right)}{r + 2} + \frac{1}{2} \, a d x^{2} + \frac{a x^{2} x^{r} e}{r + 2}"," ",0,"b*n*r*x^2*x^r*e*log(x)/(r^2 + 4*r + 4) + 1/2*b*d*n*x^2*log(x) + 2*b*n*x^2*x^r*e*log(x)/(r^2 + 4*r + 4) - 1/4*b*d*n*x^2 - b*n*x^2*x^r*e/(r^2 + 4*r + 4) + 1/2*b*d*x^2*log(c) + b*x^2*x^r*e*log(c)/(r + 2) + 1/2*a*d*x^2 + a*x^2*x^r*e/(r + 2)","B",0
370,1,69,0,0.375644," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{1}{2} \, b d n \log\left(x\right)^{2} + \frac{b n x^{r} e \log\left(x\right)}{r} + b d \log\left(c\right) \log\left(x\right) + \frac{b x^{r} e \log\left(c\right)}{r} + a d \log\left(x\right) - \frac{b n x^{r} e}{r^{2}} + \frac{a x^{r} e}{r}"," ",0,"1/2*b*d*n*log(x)^2 + b*n*x^r*e*log(x)/r + b*d*log(c)*log(x) + b*x^r*e*log(c)/r + a*d*log(x) - b*n*x^r*e/r^2 + a*x^r*e/r","A",0
371,1,396,0,0.398791," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^3,x, algorithm=""giac"")","-\frac{b d n r^{2} \log\left(x\right)}{2 \, {\left(r^{2} - 4 \, r + 4\right)} x^{2}} + \frac{b n r x^{r} e \log\left(x\right)}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} - \frac{b d n r^{2}}{4 \, {\left(r^{2} - 4 \, r + 4\right)} x^{2}} - \frac{b d r^{2} \log\left(c\right)}{2 \, {\left(r^{2} - 4 \, r + 4\right)} x^{2}} + \frac{b r x^{r} e \log\left(c\right)}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} + \frac{2 \, b d n r \log\left(x\right)}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} - \frac{2 \, b n x^{r} e \log\left(x\right)}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} + \frac{b d n r}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} - \frac{a d r^{2}}{2 \, {\left(r^{2} - 4 \, r + 4\right)} x^{2}} - \frac{b n x^{r} e}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} + \frac{a r x^{r} e}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} + \frac{2 \, b d r \log\left(c\right)}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} - \frac{2 \, b x^{r} e \log\left(c\right)}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} - \frac{2 \, b d n \log\left(x\right)}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} - \frac{b d n}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} + \frac{2 \, a d r}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} - \frac{2 \, a x^{r} e}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} - \frac{2 \, b d \log\left(c\right)}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}} - \frac{2 \, a d}{{\left(r^{2} - 4 \, r + 4\right)} x^{2}}"," ",0,"-1/2*b*d*n*r^2*log(x)/((r^2 - 4*r + 4)*x^2) + b*n*r*x^r*e*log(x)/((r^2 - 4*r + 4)*x^2) - 1/4*b*d*n*r^2/((r^2 - 4*r + 4)*x^2) - 1/2*b*d*r^2*log(c)/((r^2 - 4*r + 4)*x^2) + b*r*x^r*e*log(c)/((r^2 - 4*r + 4)*x^2) + 2*b*d*n*r*log(x)/((r^2 - 4*r + 4)*x^2) - 2*b*n*x^r*e*log(x)/((r^2 - 4*r + 4)*x^2) + b*d*n*r/((r^2 - 4*r + 4)*x^2) - 1/2*a*d*r^2/((r^2 - 4*r + 4)*x^2) - b*n*x^r*e/((r^2 - 4*r + 4)*x^2) + a*r*x^r*e/((r^2 - 4*r + 4)*x^2) + 2*b*d*r*log(c)/((r^2 - 4*r + 4)*x^2) - 2*b*x^r*e*log(c)/((r^2 - 4*r + 4)*x^2) - 2*b*d*n*log(x)/((r^2 - 4*r + 4)*x^2) - b*d*n/((r^2 - 4*r + 4)*x^2) + 2*a*d*r/((r^2 - 4*r + 4)*x^2) - 2*a*x^r*e/((r^2 - 4*r + 4)*x^2) - 2*b*d*log(c)/((r^2 - 4*r + 4)*x^2) - 2*a*d/((r^2 - 4*r + 4)*x^2)","B",0
372,1,397,0,0.506505," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^5,x, algorithm=""giac"")","-\frac{b d n r^{2} \log\left(x\right)}{4 \, {\left(r^{2} - 8 \, r + 16\right)} x^{4}} + \frac{b n r x^{r} e \log\left(x\right)}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}} - \frac{b d n r^{2}}{16 \, {\left(r^{2} - 8 \, r + 16\right)} x^{4}} - \frac{b d r^{2} \log\left(c\right)}{4 \, {\left(r^{2} - 8 \, r + 16\right)} x^{4}} + \frac{b r x^{r} e \log\left(c\right)}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}} + \frac{2 \, b d n r \log\left(x\right)}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}} - \frac{4 \, b n x^{r} e \log\left(x\right)}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}} + \frac{b d n r}{2 \, {\left(r^{2} - 8 \, r + 16\right)} x^{4}} - \frac{a d r^{2}}{4 \, {\left(r^{2} - 8 \, r + 16\right)} x^{4}} - \frac{b n x^{r} e}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}} + \frac{a r x^{r} e}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}} + \frac{2 \, b d r \log\left(c\right)}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}} - \frac{4 \, b x^{r} e \log\left(c\right)}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}} - \frac{4 \, b d n \log\left(x\right)}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}} - \frac{b d n}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}} + \frac{2 \, a d r}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}} - \frac{4 \, a x^{r} e}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}} - \frac{4 \, b d \log\left(c\right)}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}} - \frac{4 \, a d}{{\left(r^{2} - 8 \, r + 16\right)} x^{4}}"," ",0,"-1/4*b*d*n*r^2*log(x)/((r^2 - 8*r + 16)*x^4) + b*n*r*x^r*e*log(x)/((r^2 - 8*r + 16)*x^4) - 1/16*b*d*n*r^2/((r^2 - 8*r + 16)*x^4) - 1/4*b*d*r^2*log(c)/((r^2 - 8*r + 16)*x^4) + b*r*x^r*e*log(c)/((r^2 - 8*r + 16)*x^4) + 2*b*d*n*r*log(x)/((r^2 - 8*r + 16)*x^4) - 4*b*n*x^r*e*log(x)/((r^2 - 8*r + 16)*x^4) + 1/2*b*d*n*r/((r^2 - 8*r + 16)*x^4) - 1/4*a*d*r^2/((r^2 - 8*r + 16)*x^4) - b*n*x^r*e/((r^2 - 8*r + 16)*x^4) + a*r*x^r*e/((r^2 - 8*r + 16)*x^4) + 2*b*d*r*log(c)/((r^2 - 8*r + 16)*x^4) - 4*b*x^r*e*log(c)/((r^2 - 8*r + 16)*x^4) - 4*b*d*n*log(x)/((r^2 - 8*r + 16)*x^4) - b*d*n/((r^2 - 8*r + 16)*x^4) + 2*a*d*r/((r^2 - 8*r + 16)*x^4) - 4*a*x^r*e/((r^2 - 8*r + 16)*x^4) - 4*b*d*log(c)/((r^2 - 8*r + 16)*x^4) - 4*a*d/((r^2 - 8*r + 16)*x^4)","B",0
373,1,137,0,0.410148," ","integrate(x^4*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b n r x^{5} x^{r} e \log\left(x\right)}{r^{2} + 10 \, r + 25} + \frac{1}{5} \, b d n x^{5} \log\left(x\right) + \frac{5 \, b n x^{5} x^{r} e \log\left(x\right)}{r^{2} + 10 \, r + 25} - \frac{1}{25} \, b d n x^{5} - \frac{b n x^{5} x^{r} e}{r^{2} + 10 \, r + 25} + \frac{1}{5} \, b d x^{5} \log\left(c\right) + \frac{b x^{5} x^{r} e \log\left(c\right)}{r + 5} + \frac{1}{5} \, a d x^{5} + \frac{a x^{5} x^{r} e}{r + 5}"," ",0,"b*n*r*x^5*x^r*e*log(x)/(r^2 + 10*r + 25) + 1/5*b*d*n*x^5*log(x) + 5*b*n*x^5*x^r*e*log(x)/(r^2 + 10*r + 25) - 1/25*b*d*n*x^5 - b*n*x^5*x^r*e/(r^2 + 10*r + 25) + 1/5*b*d*x^5*log(c) + b*x^5*x^r*e*log(c)/(r + 5) + 1/5*a*d*x^5 + a*x^5*x^r*e/(r + 5)","B",0
374,1,137,0,0.368580," ","integrate(x^2*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b n r x^{3} x^{r} e \log\left(x\right)}{r^{2} + 6 \, r + 9} + \frac{1}{3} \, b d n x^{3} \log\left(x\right) + \frac{3 \, b n x^{3} x^{r} e \log\left(x\right)}{r^{2} + 6 \, r + 9} - \frac{1}{9} \, b d n x^{3} - \frac{b n x^{3} x^{r} e}{r^{2} + 6 \, r + 9} + \frac{1}{3} \, b d x^{3} \log\left(c\right) + \frac{b x^{3} x^{r} e \log\left(c\right)}{r + 3} + \frac{1}{3} \, a d x^{3} + \frac{a x^{3} x^{r} e}{r + 3}"," ",0,"b*n*r*x^3*x^r*e*log(x)/(r^2 + 6*r + 9) + 1/3*b*d*n*x^3*log(x) + 3*b*n*x^3*x^r*e*log(x)/(r^2 + 6*r + 9) - 1/9*b*d*n*x^3 - b*n*x^3*x^r*e/(r^2 + 6*r + 9) + 1/3*b*d*x^3*log(c) + b*x^3*x^r*e*log(c)/(r + 3) + 1/3*a*d*x^3 + a*x^3*x^r*e/(r + 3)","B",0
375,1,115,0,0.387146," ","integrate((d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b n r x x^{r} e \log\left(x\right)}{r^{2} + 2 \, r + 1} + b d n x \log\left(x\right) + \frac{b n x x^{r} e \log\left(x\right)}{r^{2} + 2 \, r + 1} - b d n x - \frac{b n x x^{r} e}{r^{2} + 2 \, r + 1} + b d x \log\left(c\right) + \frac{b x x^{r} e \log\left(c\right)}{r + 1} + a d x + \frac{a x x^{r} e}{r + 1}"," ",0,"b*n*r*x*x^r*e*log(x)/(r^2 + 2*r + 1) + b*d*n*x*log(x) + b*n*x*x^r*e*log(x)/(r^2 + 2*r + 1) - b*d*n*x - b*n*x*x^r*e/(r^2 + 2*r + 1) + b*d*x*log(c) + b*x*x^r*e*log(c)/(r + 1) + a*d*x + a*x*x^r*e/(r + 1)","B",0
376,1,193,0,0.417403," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\frac{b n r x^{r} e \log\left(x\right)}{{\left(r^{2} - 2 \, r + 1\right)} x} + \frac{b r x^{r} e \log\left(c\right)}{{\left(r^{2} - 2 \, r + 1\right)} x} - \frac{b d n \log\left(x\right)}{x} - \frac{b n x^{r} e \log\left(x\right)}{{\left(r^{2} - 2 \, r + 1\right)} x} - \frac{b d n}{x} - \frac{b n x^{r} e}{{\left(r^{2} - 2 \, r + 1\right)} x} + \frac{a r x^{r} e}{{\left(r^{2} - 2 \, r + 1\right)} x} - \frac{b d \log\left(c\right)}{x} - \frac{b x^{r} e \log\left(c\right)}{{\left(r^{2} - 2 \, r + 1\right)} x} - \frac{a d}{x} - \frac{a x^{r} e}{{\left(r^{2} - 2 \, r + 1\right)} x}"," ",0,"b*n*r*x^r*e*log(x)/((r^2 - 2*r + 1)*x) + b*r*x^r*e*log(c)/((r^2 - 2*r + 1)*x) - b*d*n*log(x)/x - b*n*x^r*e*log(x)/((r^2 - 2*r + 1)*x) - b*d*n/x - b*n*x^r*e/((r^2 - 2*r + 1)*x) + a*r*x^r*e/((r^2 - 2*r + 1)*x) - b*d*log(c)/x - b*x^r*e*log(c)/((r^2 - 2*r + 1)*x) - a*d/x - a*x^r*e/((r^2 - 2*r + 1)*x)","B",0
377,1,397,0,0.422536," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^4,x, algorithm=""giac"")","-\frac{b d n r^{2} \log\left(x\right)}{3 \, {\left(r^{2} - 6 \, r + 9\right)} x^{3}} + \frac{b n r x^{r} e \log\left(x\right)}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}} - \frac{b d n r^{2}}{9 \, {\left(r^{2} - 6 \, r + 9\right)} x^{3}} - \frac{b d r^{2} \log\left(c\right)}{3 \, {\left(r^{2} - 6 \, r + 9\right)} x^{3}} + \frac{b r x^{r} e \log\left(c\right)}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}} + \frac{2 \, b d n r \log\left(x\right)}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}} - \frac{3 \, b n x^{r} e \log\left(x\right)}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}} + \frac{2 \, b d n r}{3 \, {\left(r^{2} - 6 \, r + 9\right)} x^{3}} - \frac{a d r^{2}}{3 \, {\left(r^{2} - 6 \, r + 9\right)} x^{3}} - \frac{b n x^{r} e}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}} + \frac{a r x^{r} e}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}} + \frac{2 \, b d r \log\left(c\right)}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}} - \frac{3 \, b x^{r} e \log\left(c\right)}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}} - \frac{3 \, b d n \log\left(x\right)}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}} - \frac{b d n}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}} + \frac{2 \, a d r}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}} - \frac{3 \, a x^{r} e}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}} - \frac{3 \, b d \log\left(c\right)}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}} - \frac{3 \, a d}{{\left(r^{2} - 6 \, r + 9\right)} x^{3}}"," ",0,"-1/3*b*d*n*r^2*log(x)/((r^2 - 6*r + 9)*x^3) + b*n*r*x^r*e*log(x)/((r^2 - 6*r + 9)*x^3) - 1/9*b*d*n*r^2/((r^2 - 6*r + 9)*x^3) - 1/3*b*d*r^2*log(c)/((r^2 - 6*r + 9)*x^3) + b*r*x^r*e*log(c)/((r^2 - 6*r + 9)*x^3) + 2*b*d*n*r*log(x)/((r^2 - 6*r + 9)*x^3) - 3*b*n*x^r*e*log(x)/((r^2 - 6*r + 9)*x^3) + 2/3*b*d*n*r/((r^2 - 6*r + 9)*x^3) - 1/3*a*d*r^2/((r^2 - 6*r + 9)*x^3) - b*n*x^r*e/((r^2 - 6*r + 9)*x^3) + a*r*x^r*e/((r^2 - 6*r + 9)*x^3) + 2*b*d*r*log(c)/((r^2 - 6*r + 9)*x^3) - 3*b*x^r*e*log(c)/((r^2 - 6*r + 9)*x^3) - 3*b*d*n*log(x)/((r^2 - 6*r + 9)*x^3) - b*d*n/((r^2 - 6*r + 9)*x^3) + 2*a*d*r/((r^2 - 6*r + 9)*x^3) - 3*a*x^r*e/((r^2 - 6*r + 9)*x^3) - 3*b*d*log(c)/((r^2 - 6*r + 9)*x^3) - 3*a*d/((r^2 - 6*r + 9)*x^3)","B",0
378,1,397,0,0.468158," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^6,x, algorithm=""giac"")","-\frac{b d n r^{2} \log\left(x\right)}{5 \, {\left(r^{2} - 10 \, r + 25\right)} x^{5}} + \frac{b n r x^{r} e \log\left(x\right)}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}} - \frac{b d n r^{2}}{25 \, {\left(r^{2} - 10 \, r + 25\right)} x^{5}} - \frac{b d r^{2} \log\left(c\right)}{5 \, {\left(r^{2} - 10 \, r + 25\right)} x^{5}} + \frac{b r x^{r} e \log\left(c\right)}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}} + \frac{2 \, b d n r \log\left(x\right)}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}} - \frac{5 \, b n x^{r} e \log\left(x\right)}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}} + \frac{2 \, b d n r}{5 \, {\left(r^{2} - 10 \, r + 25\right)} x^{5}} - \frac{a d r^{2}}{5 \, {\left(r^{2} - 10 \, r + 25\right)} x^{5}} - \frac{b n x^{r} e}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}} + \frac{a r x^{r} e}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}} + \frac{2 \, b d r \log\left(c\right)}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}} - \frac{5 \, b x^{r} e \log\left(c\right)}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}} - \frac{5 \, b d n \log\left(x\right)}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}} - \frac{b d n}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}} + \frac{2 \, a d r}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}} - \frac{5 \, a x^{r} e}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}} - \frac{5 \, b d \log\left(c\right)}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}} - \frac{5 \, a d}{{\left(r^{2} - 10 \, r + 25\right)} x^{5}}"," ",0,"-1/5*b*d*n*r^2*log(x)/((r^2 - 10*r + 25)*x^5) + b*n*r*x^r*e*log(x)/((r^2 - 10*r + 25)*x^5) - 1/25*b*d*n*r^2/((r^2 - 10*r + 25)*x^5) - 1/5*b*d*r^2*log(c)/((r^2 - 10*r + 25)*x^5) + b*r*x^r*e*log(c)/((r^2 - 10*r + 25)*x^5) + 2*b*d*n*r*log(x)/((r^2 - 10*r + 25)*x^5) - 5*b*n*x^r*e*log(x)/((r^2 - 10*r + 25)*x^5) + 2/5*b*d*n*r/((r^2 - 10*r + 25)*x^5) - 1/5*a*d*r^2/((r^2 - 10*r + 25)*x^5) - b*n*x^r*e/((r^2 - 10*r + 25)*x^5) + a*r*x^r*e/((r^2 - 10*r + 25)*x^5) + 2*b*d*r*log(c)/((r^2 - 10*r + 25)*x^5) - 5*b*x^r*e*log(c)/((r^2 - 10*r + 25)*x^5) - 5*b*d*n*log(x)/((r^2 - 10*r + 25)*x^5) - b*d*n/((r^2 - 10*r + 25)*x^5) + 2*a*d*r/((r^2 - 10*r + 25)*x^5) - 5*a*x^r*e/((r^2 - 10*r + 25)*x^5) - 5*b*d*log(c)/((r^2 - 10*r + 25)*x^5) - 5*a*d/((r^2 - 10*r + 25)*x^5)","B",0
379,1,744,0,0.497068," ","integrate(x^5*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{6 \, b d^{2} n r^{4} x^{6} \log\left(x\right) + 72 \, b d n r^{3} x^{6} x^{r} e \log\left(x\right) - b d^{2} n r^{4} x^{6} + 6 \, b d^{2} r^{4} x^{6} \log\left(c\right) + 72 \, b d r^{3} x^{6} x^{r} e \log\left(c\right) + 108 \, b d^{2} n r^{3} x^{6} \log\left(x\right) + 18 \, b n r^{3} x^{6} x^{2 \, r} e^{2} \log\left(x\right) + 864 \, b d n r^{2} x^{6} x^{r} e \log\left(x\right) - 18 \, b d^{2} n r^{3} x^{6} + 6 \, a d^{2} r^{4} x^{6} - 72 \, b d n r^{2} x^{6} x^{r} e + 72 \, a d r^{3} x^{6} x^{r} e + 108 \, b d^{2} r^{3} x^{6} \log\left(c\right) + 18 \, b r^{3} x^{6} x^{2 \, r} e^{2} \log\left(c\right) + 864 \, b d r^{2} x^{6} x^{r} e \log\left(c\right) + 702 \, b d^{2} n r^{2} x^{6} \log\left(x\right) + 270 \, b n r^{2} x^{6} x^{2 \, r} e^{2} \log\left(x\right) + 3240 \, b d n r x^{6} x^{r} e \log\left(x\right) - 117 \, b d^{2} n r^{2} x^{6} + 108 \, a d^{2} r^{3} x^{6} - 9 \, b n r^{2} x^{6} x^{2 \, r} e^{2} + 18 \, a r^{3} x^{6} x^{2 \, r} e^{2} - 432 \, b d n r x^{6} x^{r} e + 864 \, a d r^{2} x^{6} x^{r} e + 702 \, b d^{2} r^{2} x^{6} \log\left(c\right) + 270 \, b r^{2} x^{6} x^{2 \, r} e^{2} \log\left(c\right) + 3240 \, b d r x^{6} x^{r} e \log\left(c\right) + 1944 \, b d^{2} n r x^{6} \log\left(x\right) + 1296 \, b n r x^{6} x^{2 \, r} e^{2} \log\left(x\right) + 3888 \, b d n x^{6} x^{r} e \log\left(x\right) - 324 \, b d^{2} n r x^{6} + 702 \, a d^{2} r^{2} x^{6} - 108 \, b n r x^{6} x^{2 \, r} e^{2} + 270 \, a r^{2} x^{6} x^{2 \, r} e^{2} - 648 \, b d n x^{6} x^{r} e + 3240 \, a d r x^{6} x^{r} e + 1944 \, b d^{2} r x^{6} \log\left(c\right) + 1296 \, b r x^{6} x^{2 \, r} e^{2} \log\left(c\right) + 3888 \, b d x^{6} x^{r} e \log\left(c\right) + 1944 \, b d^{2} n x^{6} \log\left(x\right) + 1944 \, b n x^{6} x^{2 \, r} e^{2} \log\left(x\right) - 324 \, b d^{2} n x^{6} + 1944 \, a d^{2} r x^{6} - 324 \, b n x^{6} x^{2 \, r} e^{2} + 1296 \, a r x^{6} x^{2 \, r} e^{2} + 3888 \, a d x^{6} x^{r} e + 1944 \, b d^{2} x^{6} \log\left(c\right) + 1944 \, b x^{6} x^{2 \, r} e^{2} \log\left(c\right) + 1944 \, a d^{2} x^{6} + 1944 \, a x^{6} x^{2 \, r} e^{2}}{36 \, {\left(r^{4} + 18 \, r^{3} + 117 \, r^{2} + 324 \, r + 324\right)}}"," ",0,"1/36*(6*b*d^2*n*r^4*x^6*log(x) + 72*b*d*n*r^3*x^6*x^r*e*log(x) - b*d^2*n*r^4*x^6 + 6*b*d^2*r^4*x^6*log(c) + 72*b*d*r^3*x^6*x^r*e*log(c) + 108*b*d^2*n*r^3*x^6*log(x) + 18*b*n*r^3*x^6*x^(2*r)*e^2*log(x) + 864*b*d*n*r^2*x^6*x^r*e*log(x) - 18*b*d^2*n*r^3*x^6 + 6*a*d^2*r^4*x^6 - 72*b*d*n*r^2*x^6*x^r*e + 72*a*d*r^3*x^6*x^r*e + 108*b*d^2*r^3*x^6*log(c) + 18*b*r^3*x^6*x^(2*r)*e^2*log(c) + 864*b*d*r^2*x^6*x^r*e*log(c) + 702*b*d^2*n*r^2*x^6*log(x) + 270*b*n*r^2*x^6*x^(2*r)*e^2*log(x) + 3240*b*d*n*r*x^6*x^r*e*log(x) - 117*b*d^2*n*r^2*x^6 + 108*a*d^2*r^3*x^6 - 9*b*n*r^2*x^6*x^(2*r)*e^2 + 18*a*r^3*x^6*x^(2*r)*e^2 - 432*b*d*n*r*x^6*x^r*e + 864*a*d*r^2*x^6*x^r*e + 702*b*d^2*r^2*x^6*log(c) + 270*b*r^2*x^6*x^(2*r)*e^2*log(c) + 3240*b*d*r*x^6*x^r*e*log(c) + 1944*b*d^2*n*r*x^6*log(x) + 1296*b*n*r*x^6*x^(2*r)*e^2*log(x) + 3888*b*d*n*x^6*x^r*e*log(x) - 324*b*d^2*n*r*x^6 + 702*a*d^2*r^2*x^6 - 108*b*n*r*x^6*x^(2*r)*e^2 + 270*a*r^2*x^6*x^(2*r)*e^2 - 648*b*d*n*x^6*x^r*e + 3240*a*d*r*x^6*x^r*e + 1944*b*d^2*r*x^6*log(c) + 1296*b*r*x^6*x^(2*r)*e^2*log(c) + 3888*b*d*x^6*x^r*e*log(c) + 1944*b*d^2*n*x^6*log(x) + 1944*b*n*x^6*x^(2*r)*e^2*log(x) - 324*b*d^2*n*x^6 + 1944*a*d^2*r*x^6 - 324*b*n*x^6*x^(2*r)*e^2 + 1296*a*r*x^6*x^(2*r)*e^2 + 3888*a*d*x^6*x^r*e + 1944*b*d^2*x^6*log(c) + 1944*b*x^6*x^(2*r)*e^2*log(c) + 1944*a*d^2*x^6 + 1944*a*x^6*x^(2*r)*e^2)/(r^4 + 18*r^3 + 117*r^2 + 324*r + 324)","B",0
380,1,744,0,0.514949," ","integrate(x^3*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{4 \, b d^{2} n r^{4} x^{4} \log\left(x\right) + 32 \, b d n r^{3} x^{4} x^{r} e \log\left(x\right) - b d^{2} n r^{4} x^{4} + 4 \, b d^{2} r^{4} x^{4} \log\left(c\right) + 32 \, b d r^{3} x^{4} x^{r} e \log\left(c\right) + 48 \, b d^{2} n r^{3} x^{4} \log\left(x\right) + 8 \, b n r^{3} x^{4} x^{2 \, r} e^{2} \log\left(x\right) + 256 \, b d n r^{2} x^{4} x^{r} e \log\left(x\right) - 12 \, b d^{2} n r^{3} x^{4} + 4 \, a d^{2} r^{4} x^{4} - 32 \, b d n r^{2} x^{4} x^{r} e + 32 \, a d r^{3} x^{4} x^{r} e + 48 \, b d^{2} r^{3} x^{4} \log\left(c\right) + 8 \, b r^{3} x^{4} x^{2 \, r} e^{2} \log\left(c\right) + 256 \, b d r^{2} x^{4} x^{r} e \log\left(c\right) + 208 \, b d^{2} n r^{2} x^{4} \log\left(x\right) + 80 \, b n r^{2} x^{4} x^{2 \, r} e^{2} \log\left(x\right) + 640 \, b d n r x^{4} x^{r} e \log\left(x\right) - 52 \, b d^{2} n r^{2} x^{4} + 48 \, a d^{2} r^{3} x^{4} - 4 \, b n r^{2} x^{4} x^{2 \, r} e^{2} + 8 \, a r^{3} x^{4} x^{2 \, r} e^{2} - 128 \, b d n r x^{4} x^{r} e + 256 \, a d r^{2} x^{4} x^{r} e + 208 \, b d^{2} r^{2} x^{4} \log\left(c\right) + 80 \, b r^{2} x^{4} x^{2 \, r} e^{2} \log\left(c\right) + 640 \, b d r x^{4} x^{r} e \log\left(c\right) + 384 \, b d^{2} n r x^{4} \log\left(x\right) + 256 \, b n r x^{4} x^{2 \, r} e^{2} \log\left(x\right) + 512 \, b d n x^{4} x^{r} e \log\left(x\right) - 96 \, b d^{2} n r x^{4} + 208 \, a d^{2} r^{2} x^{4} - 32 \, b n r x^{4} x^{2 \, r} e^{2} + 80 \, a r^{2} x^{4} x^{2 \, r} e^{2} - 128 \, b d n x^{4} x^{r} e + 640 \, a d r x^{4} x^{r} e + 384 \, b d^{2} r x^{4} \log\left(c\right) + 256 \, b r x^{4} x^{2 \, r} e^{2} \log\left(c\right) + 512 \, b d x^{4} x^{r} e \log\left(c\right) + 256 \, b d^{2} n x^{4} \log\left(x\right) + 256 \, b n x^{4} x^{2 \, r} e^{2} \log\left(x\right) - 64 \, b d^{2} n x^{4} + 384 \, a d^{2} r x^{4} - 64 \, b n x^{4} x^{2 \, r} e^{2} + 256 \, a r x^{4} x^{2 \, r} e^{2} + 512 \, a d x^{4} x^{r} e + 256 \, b d^{2} x^{4} \log\left(c\right) + 256 \, b x^{4} x^{2 \, r} e^{2} \log\left(c\right) + 256 \, a d^{2} x^{4} + 256 \, a x^{4} x^{2 \, r} e^{2}}{16 \, {\left(r^{4} + 12 \, r^{3} + 52 \, r^{2} + 96 \, r + 64\right)}}"," ",0,"1/16*(4*b*d^2*n*r^4*x^4*log(x) + 32*b*d*n*r^3*x^4*x^r*e*log(x) - b*d^2*n*r^4*x^4 + 4*b*d^2*r^4*x^4*log(c) + 32*b*d*r^3*x^4*x^r*e*log(c) + 48*b*d^2*n*r^3*x^4*log(x) + 8*b*n*r^3*x^4*x^(2*r)*e^2*log(x) + 256*b*d*n*r^2*x^4*x^r*e*log(x) - 12*b*d^2*n*r^3*x^4 + 4*a*d^2*r^4*x^4 - 32*b*d*n*r^2*x^4*x^r*e + 32*a*d*r^3*x^4*x^r*e + 48*b*d^2*r^3*x^4*log(c) + 8*b*r^3*x^4*x^(2*r)*e^2*log(c) + 256*b*d*r^2*x^4*x^r*e*log(c) + 208*b*d^2*n*r^2*x^4*log(x) + 80*b*n*r^2*x^4*x^(2*r)*e^2*log(x) + 640*b*d*n*r*x^4*x^r*e*log(x) - 52*b*d^2*n*r^2*x^4 + 48*a*d^2*r^3*x^4 - 4*b*n*r^2*x^4*x^(2*r)*e^2 + 8*a*r^3*x^4*x^(2*r)*e^2 - 128*b*d*n*r*x^4*x^r*e + 256*a*d*r^2*x^4*x^r*e + 208*b*d^2*r^2*x^4*log(c) + 80*b*r^2*x^4*x^(2*r)*e^2*log(c) + 640*b*d*r*x^4*x^r*e*log(c) + 384*b*d^2*n*r*x^4*log(x) + 256*b*n*r*x^4*x^(2*r)*e^2*log(x) + 512*b*d*n*x^4*x^r*e*log(x) - 96*b*d^2*n*r*x^4 + 208*a*d^2*r^2*x^4 - 32*b*n*r*x^4*x^(2*r)*e^2 + 80*a*r^2*x^4*x^(2*r)*e^2 - 128*b*d*n*x^4*x^r*e + 640*a*d*r*x^4*x^r*e + 384*b*d^2*r*x^4*log(c) + 256*b*r*x^4*x^(2*r)*e^2*log(c) + 512*b*d*x^4*x^r*e*log(c) + 256*b*d^2*n*x^4*log(x) + 256*b*n*x^4*x^(2*r)*e^2*log(x) - 64*b*d^2*n*x^4 + 384*a*d^2*r*x^4 - 64*b*n*x^4*x^(2*r)*e^2 + 256*a*r*x^4*x^(2*r)*e^2 + 512*a*d*x^4*x^r*e + 256*b*d^2*x^4*log(c) + 256*b*x^4*x^(2*r)*e^2*log(c) + 256*a*d^2*x^4 + 256*a*x^4*x^(2*r)*e^2)/(r^4 + 12*r^3 + 52*r^2 + 96*r + 64)","B",0
381,1,744,0,0.438876," ","integrate(x*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{2 \, b d^{2} n r^{4} x^{2} \log\left(x\right) + 8 \, b d n r^{3} x^{2} x^{r} e \log\left(x\right) - b d^{2} n r^{4} x^{2} + 2 \, b d^{2} r^{4} x^{2} \log\left(c\right) + 8 \, b d r^{3} x^{2} x^{r} e \log\left(c\right) + 12 \, b d^{2} n r^{3} x^{2} \log\left(x\right) + 2 \, b n r^{3} x^{2} x^{2 \, r} e^{2} \log\left(x\right) + 32 \, b d n r^{2} x^{2} x^{r} e \log\left(x\right) - 6 \, b d^{2} n r^{3} x^{2} + 2 \, a d^{2} r^{4} x^{2} - 8 \, b d n r^{2} x^{2} x^{r} e + 8 \, a d r^{3} x^{2} x^{r} e + 12 \, b d^{2} r^{3} x^{2} \log\left(c\right) + 2 \, b r^{3} x^{2} x^{2 \, r} e^{2} \log\left(c\right) + 32 \, b d r^{2} x^{2} x^{r} e \log\left(c\right) + 26 \, b d^{2} n r^{2} x^{2} \log\left(x\right) + 10 \, b n r^{2} x^{2} x^{2 \, r} e^{2} \log\left(x\right) + 40 \, b d n r x^{2} x^{r} e \log\left(x\right) - 13 \, b d^{2} n r^{2} x^{2} + 12 \, a d^{2} r^{3} x^{2} - b n r^{2} x^{2} x^{2 \, r} e^{2} + 2 \, a r^{3} x^{2} x^{2 \, r} e^{2} - 16 \, b d n r x^{2} x^{r} e + 32 \, a d r^{2} x^{2} x^{r} e + 26 \, b d^{2} r^{2} x^{2} \log\left(c\right) + 10 \, b r^{2} x^{2} x^{2 \, r} e^{2} \log\left(c\right) + 40 \, b d r x^{2} x^{r} e \log\left(c\right) + 24 \, b d^{2} n r x^{2} \log\left(x\right) + 16 \, b n r x^{2} x^{2 \, r} e^{2} \log\left(x\right) + 16 \, b d n x^{2} x^{r} e \log\left(x\right) - 12 \, b d^{2} n r x^{2} + 26 \, a d^{2} r^{2} x^{2} - 4 \, b n r x^{2} x^{2 \, r} e^{2} + 10 \, a r^{2} x^{2} x^{2 \, r} e^{2} - 8 \, b d n x^{2} x^{r} e + 40 \, a d r x^{2} x^{r} e + 24 \, b d^{2} r x^{2} \log\left(c\right) + 16 \, b r x^{2} x^{2 \, r} e^{2} \log\left(c\right) + 16 \, b d x^{2} x^{r} e \log\left(c\right) + 8 \, b d^{2} n x^{2} \log\left(x\right) + 8 \, b n x^{2} x^{2 \, r} e^{2} \log\left(x\right) - 4 \, b d^{2} n x^{2} + 24 \, a d^{2} r x^{2} - 4 \, b n x^{2} x^{2 \, r} e^{2} + 16 \, a r x^{2} x^{2 \, r} e^{2} + 16 \, a d x^{2} x^{r} e + 8 \, b d^{2} x^{2} \log\left(c\right) + 8 \, b x^{2} x^{2 \, r} e^{2} \log\left(c\right) + 8 \, a d^{2} x^{2} + 8 \, a x^{2} x^{2 \, r} e^{2}}{4 \, {\left(r^{4} + 6 \, r^{3} + 13 \, r^{2} + 12 \, r + 4\right)}}"," ",0,"1/4*(2*b*d^2*n*r^4*x^2*log(x) + 8*b*d*n*r^3*x^2*x^r*e*log(x) - b*d^2*n*r^4*x^2 + 2*b*d^2*r^4*x^2*log(c) + 8*b*d*r^3*x^2*x^r*e*log(c) + 12*b*d^2*n*r^3*x^2*log(x) + 2*b*n*r^3*x^2*x^(2*r)*e^2*log(x) + 32*b*d*n*r^2*x^2*x^r*e*log(x) - 6*b*d^2*n*r^3*x^2 + 2*a*d^2*r^4*x^2 - 8*b*d*n*r^2*x^2*x^r*e + 8*a*d*r^3*x^2*x^r*e + 12*b*d^2*r^3*x^2*log(c) + 2*b*r^3*x^2*x^(2*r)*e^2*log(c) + 32*b*d*r^2*x^2*x^r*e*log(c) + 26*b*d^2*n*r^2*x^2*log(x) + 10*b*n*r^2*x^2*x^(2*r)*e^2*log(x) + 40*b*d*n*r*x^2*x^r*e*log(x) - 13*b*d^2*n*r^2*x^2 + 12*a*d^2*r^3*x^2 - b*n*r^2*x^2*x^(2*r)*e^2 + 2*a*r^3*x^2*x^(2*r)*e^2 - 16*b*d*n*r*x^2*x^r*e + 32*a*d*r^2*x^2*x^r*e + 26*b*d^2*r^2*x^2*log(c) + 10*b*r^2*x^2*x^(2*r)*e^2*log(c) + 40*b*d*r*x^2*x^r*e*log(c) + 24*b*d^2*n*r*x^2*log(x) + 16*b*n*r*x^2*x^(2*r)*e^2*log(x) + 16*b*d*n*x^2*x^r*e*log(x) - 12*b*d^2*n*r*x^2 + 26*a*d^2*r^2*x^2 - 4*b*n*r*x^2*x^(2*r)*e^2 + 10*a*r^2*x^2*x^(2*r)*e^2 - 8*b*d*n*x^2*x^r*e + 40*a*d*r*x^2*x^r*e + 24*b*d^2*r*x^2*log(c) + 16*b*r*x^2*x^(2*r)*e^2*log(c) + 16*b*d*x^2*x^r*e*log(c) + 8*b*d^2*n*x^2*log(x) + 8*b*n*x^2*x^(2*r)*e^2*log(x) - 4*b*d^2*n*x^2 + 24*a*d^2*r*x^2 - 4*b*n*x^2*x^(2*r)*e^2 + 16*a*r*x^2*x^(2*r)*e^2 + 16*a*d*x^2*x^r*e + 8*b*d^2*x^2*log(c) + 8*b*x^2*x^(2*r)*e^2*log(c) + 8*a*d^2*x^2 + 8*a*x^2*x^(2*r)*e^2)/(r^4 + 6*r^3 + 13*r^2 + 12*r + 4)","B",0
382,1,140,0,0.431293," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{1}{2} \, b d^{2} n \log\left(x\right)^{2} + \frac{2 \, b d n x^{r} e \log\left(x\right)}{r} + b d^{2} \log\left(c\right) \log\left(x\right) + \frac{2 \, b d x^{r} e \log\left(c\right)}{r} + a d^{2} \log\left(x\right) + \frac{b n x^{2 \, r} e^{2} \log\left(x\right)}{2 \, r} - \frac{2 \, b d n x^{r} e}{r^{2}} + \frac{2 \, a d x^{r} e}{r} + \frac{b x^{2 \, r} e^{2} \log\left(c\right)}{2 \, r} - \frac{b n x^{2 \, r} e^{2}}{4 \, r^{2}} + \frac{a x^{2 \, r} e^{2}}{2 \, r}"," ",0,"1/2*b*d^2*n*log(x)^2 + 2*b*d*n*x^r*e*log(x)/r + b*d^2*log(c)*log(x) + 2*b*d*x^r*e*log(c)/r + a*d^2*log(x) + 1/2*b*n*x^(2*r)*e^2*log(x)/r - 2*b*d*n*x^r*e/r^2 + 2*a*d*x^r*e/r + 1/2*b*x^(2*r)*e^2*log(c)/r - 1/4*b*n*x^(2*r)*e^2/r^2 + 1/2*a*x^(2*r)*e^2/r","A",0
383,0,0,0,0.000000," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^3,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{2} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{3}}\,{d x}"," ",0,"integrate((e*x^r + d)^2*(b*log(c*x^n) + a)/x^3, x)","F",0
384,0,0,0,0.000000," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^5,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{2} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{5}}\,{d x}"," ",0,"integrate((e*x^r + d)^2*(b*log(c*x^n) + a)/x^5, x)","F",0
385,1,746,0,0.403063," ","integrate(x^4*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{20 \, b d^{2} n r^{4} x^{5} \log\left(x\right) + 200 \, b d n r^{3} x^{5} x^{r} e \log\left(x\right) - 4 \, b d^{2} n r^{4} x^{5} + 20 \, b d^{2} r^{4} x^{5} \log\left(c\right) + 200 \, b d r^{3} x^{5} x^{r} e \log\left(c\right) + 300 \, b d^{2} n r^{3} x^{5} \log\left(x\right) + 50 \, b n r^{3} x^{5} x^{2 \, r} e^{2} \log\left(x\right) + 2000 \, b d n r^{2} x^{5} x^{r} e \log\left(x\right) - 60 \, b d^{2} n r^{3} x^{5} + 20 \, a d^{2} r^{4} x^{5} - 200 \, b d n r^{2} x^{5} x^{r} e + 200 \, a d r^{3} x^{5} x^{r} e + 300 \, b d^{2} r^{3} x^{5} \log\left(c\right) + 50 \, b r^{3} x^{5} x^{2 \, r} e^{2} \log\left(c\right) + 2000 \, b d r^{2} x^{5} x^{r} e \log\left(c\right) + 1625 \, b d^{2} n r^{2} x^{5} \log\left(x\right) + 625 \, b n r^{2} x^{5} x^{2 \, r} e^{2} \log\left(x\right) + 6250 \, b d n r x^{5} x^{r} e \log\left(x\right) - 325 \, b d^{2} n r^{2} x^{5} + 300 \, a d^{2} r^{3} x^{5} - 25 \, b n r^{2} x^{5} x^{2 \, r} e^{2} + 50 \, a r^{3} x^{5} x^{2 \, r} e^{2} - 1000 \, b d n r x^{5} x^{r} e + 2000 \, a d r^{2} x^{5} x^{r} e + 1625 \, b d^{2} r^{2} x^{5} \log\left(c\right) + 625 \, b r^{2} x^{5} x^{2 \, r} e^{2} \log\left(c\right) + 6250 \, b d r x^{5} x^{r} e \log\left(c\right) + 3750 \, b d^{2} n r x^{5} \log\left(x\right) + 2500 \, b n r x^{5} x^{2 \, r} e^{2} \log\left(x\right) + 6250 \, b d n x^{5} x^{r} e \log\left(x\right) - 750 \, b d^{2} n r x^{5} + 1625 \, a d^{2} r^{2} x^{5} - 250 \, b n r x^{5} x^{2 \, r} e^{2} + 625 \, a r^{2} x^{5} x^{2 \, r} e^{2} - 1250 \, b d n x^{5} x^{r} e + 6250 \, a d r x^{5} x^{r} e + 3750 \, b d^{2} r x^{5} \log\left(c\right) + 2500 \, b r x^{5} x^{2 \, r} e^{2} \log\left(c\right) + 6250 \, b d x^{5} x^{r} e \log\left(c\right) + 3125 \, b d^{2} n x^{5} \log\left(x\right) + 3125 \, b n x^{5} x^{2 \, r} e^{2} \log\left(x\right) - 625 \, b d^{2} n x^{5} + 3750 \, a d^{2} r x^{5} - 625 \, b n x^{5} x^{2 \, r} e^{2} + 2500 \, a r x^{5} x^{2 \, r} e^{2} + 6250 \, a d x^{5} x^{r} e + 3125 \, b d^{2} x^{5} \log\left(c\right) + 3125 \, b x^{5} x^{2 \, r} e^{2} \log\left(c\right) + 3125 \, a d^{2} x^{5} + 3125 \, a x^{5} x^{2 \, r} e^{2}}{25 \, {\left(4 \, r^{4} + 60 \, r^{3} + 325 \, r^{2} + 750 \, r + 625\right)}}"," ",0,"1/25*(20*b*d^2*n*r^4*x^5*log(x) + 200*b*d*n*r^3*x^5*x^r*e*log(x) - 4*b*d^2*n*r^4*x^5 + 20*b*d^2*r^4*x^5*log(c) + 200*b*d*r^3*x^5*x^r*e*log(c) + 300*b*d^2*n*r^3*x^5*log(x) + 50*b*n*r^3*x^5*x^(2*r)*e^2*log(x) + 2000*b*d*n*r^2*x^5*x^r*e*log(x) - 60*b*d^2*n*r^3*x^5 + 20*a*d^2*r^4*x^5 - 200*b*d*n*r^2*x^5*x^r*e + 200*a*d*r^3*x^5*x^r*e + 300*b*d^2*r^3*x^5*log(c) + 50*b*r^3*x^5*x^(2*r)*e^2*log(c) + 2000*b*d*r^2*x^5*x^r*e*log(c) + 1625*b*d^2*n*r^2*x^5*log(x) + 625*b*n*r^2*x^5*x^(2*r)*e^2*log(x) + 6250*b*d*n*r*x^5*x^r*e*log(x) - 325*b*d^2*n*r^2*x^5 + 300*a*d^2*r^3*x^5 - 25*b*n*r^2*x^5*x^(2*r)*e^2 + 50*a*r^3*x^5*x^(2*r)*e^2 - 1000*b*d*n*r*x^5*x^r*e + 2000*a*d*r^2*x^5*x^r*e + 1625*b*d^2*r^2*x^5*log(c) + 625*b*r^2*x^5*x^(2*r)*e^2*log(c) + 6250*b*d*r*x^5*x^r*e*log(c) + 3750*b*d^2*n*r*x^5*log(x) + 2500*b*n*r*x^5*x^(2*r)*e^2*log(x) + 6250*b*d*n*x^5*x^r*e*log(x) - 750*b*d^2*n*r*x^5 + 1625*a*d^2*r^2*x^5 - 250*b*n*r*x^5*x^(2*r)*e^2 + 625*a*r^2*x^5*x^(2*r)*e^2 - 1250*b*d*n*x^5*x^r*e + 6250*a*d*r*x^5*x^r*e + 3750*b*d^2*r*x^5*log(c) + 2500*b*r*x^5*x^(2*r)*e^2*log(c) + 6250*b*d*x^5*x^r*e*log(c) + 3125*b*d^2*n*x^5*log(x) + 3125*b*n*x^5*x^(2*r)*e^2*log(x) - 625*b*d^2*n*x^5 + 3750*a*d^2*r*x^5 - 625*b*n*x^5*x^(2*r)*e^2 + 2500*a*r*x^5*x^(2*r)*e^2 + 6250*a*d*x^5*x^r*e + 3125*b*d^2*x^5*log(c) + 3125*b*x^5*x^(2*r)*e^2*log(c) + 3125*a*d^2*x^5 + 3125*a*x^5*x^(2*r)*e^2)/(4*r^4 + 60*r^3 + 325*r^2 + 750*r + 625)","B",0
386,1,746,0,0.377204," ","integrate(x^2*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{12 \, b d^{2} n r^{4} x^{3} \log\left(x\right) + 72 \, b d n r^{3} x^{3} x^{r} e \log\left(x\right) - 4 \, b d^{2} n r^{4} x^{3} + 12 \, b d^{2} r^{4} x^{3} \log\left(c\right) + 72 \, b d r^{3} x^{3} x^{r} e \log\left(c\right) + 108 \, b d^{2} n r^{3} x^{3} \log\left(x\right) + 18 \, b n r^{3} x^{3} x^{2 \, r} e^{2} \log\left(x\right) + 432 \, b d n r^{2} x^{3} x^{r} e \log\left(x\right) - 36 \, b d^{2} n r^{3} x^{3} + 12 \, a d^{2} r^{4} x^{3} - 72 \, b d n r^{2} x^{3} x^{r} e + 72 \, a d r^{3} x^{3} x^{r} e + 108 \, b d^{2} r^{3} x^{3} \log\left(c\right) + 18 \, b r^{3} x^{3} x^{2 \, r} e^{2} \log\left(c\right) + 432 \, b d r^{2} x^{3} x^{r} e \log\left(c\right) + 351 \, b d^{2} n r^{2} x^{3} \log\left(x\right) + 135 \, b n r^{2} x^{3} x^{2 \, r} e^{2} \log\left(x\right) + 810 \, b d n r x^{3} x^{r} e \log\left(x\right) - 117 \, b d^{2} n r^{2} x^{3} + 108 \, a d^{2} r^{3} x^{3} - 9 \, b n r^{2} x^{3} x^{2 \, r} e^{2} + 18 \, a r^{3} x^{3} x^{2 \, r} e^{2} - 216 \, b d n r x^{3} x^{r} e + 432 \, a d r^{2} x^{3} x^{r} e + 351 \, b d^{2} r^{2} x^{3} \log\left(c\right) + 135 \, b r^{2} x^{3} x^{2 \, r} e^{2} \log\left(c\right) + 810 \, b d r x^{3} x^{r} e \log\left(c\right) + 486 \, b d^{2} n r x^{3} \log\left(x\right) + 324 \, b n r x^{3} x^{2 \, r} e^{2} \log\left(x\right) + 486 \, b d n x^{3} x^{r} e \log\left(x\right) - 162 \, b d^{2} n r x^{3} + 351 \, a d^{2} r^{2} x^{3} - 54 \, b n r x^{3} x^{2 \, r} e^{2} + 135 \, a r^{2} x^{3} x^{2 \, r} e^{2} - 162 \, b d n x^{3} x^{r} e + 810 \, a d r x^{3} x^{r} e + 486 \, b d^{2} r x^{3} \log\left(c\right) + 324 \, b r x^{3} x^{2 \, r} e^{2} \log\left(c\right) + 486 \, b d x^{3} x^{r} e \log\left(c\right) + 243 \, b d^{2} n x^{3} \log\left(x\right) + 243 \, b n x^{3} x^{2 \, r} e^{2} \log\left(x\right) - 81 \, b d^{2} n x^{3} + 486 \, a d^{2} r x^{3} - 81 \, b n x^{3} x^{2 \, r} e^{2} + 324 \, a r x^{3} x^{2 \, r} e^{2} + 486 \, a d x^{3} x^{r} e + 243 \, b d^{2} x^{3} \log\left(c\right) + 243 \, b x^{3} x^{2 \, r} e^{2} \log\left(c\right) + 243 \, a d^{2} x^{3} + 243 \, a x^{3} x^{2 \, r} e^{2}}{9 \, {\left(4 \, r^{4} + 36 \, r^{3} + 117 \, r^{2} + 162 \, r + 81\right)}}"," ",0,"1/9*(12*b*d^2*n*r^4*x^3*log(x) + 72*b*d*n*r^3*x^3*x^r*e*log(x) - 4*b*d^2*n*r^4*x^3 + 12*b*d^2*r^4*x^3*log(c) + 72*b*d*r^3*x^3*x^r*e*log(c) + 108*b*d^2*n*r^3*x^3*log(x) + 18*b*n*r^3*x^3*x^(2*r)*e^2*log(x) + 432*b*d*n*r^2*x^3*x^r*e*log(x) - 36*b*d^2*n*r^3*x^3 + 12*a*d^2*r^4*x^3 - 72*b*d*n*r^2*x^3*x^r*e + 72*a*d*r^3*x^3*x^r*e + 108*b*d^2*r^3*x^3*log(c) + 18*b*r^3*x^3*x^(2*r)*e^2*log(c) + 432*b*d*r^2*x^3*x^r*e*log(c) + 351*b*d^2*n*r^2*x^3*log(x) + 135*b*n*r^2*x^3*x^(2*r)*e^2*log(x) + 810*b*d*n*r*x^3*x^r*e*log(x) - 117*b*d^2*n*r^2*x^3 + 108*a*d^2*r^3*x^3 - 9*b*n*r^2*x^3*x^(2*r)*e^2 + 18*a*r^3*x^3*x^(2*r)*e^2 - 216*b*d*n*r*x^3*x^r*e + 432*a*d*r^2*x^3*x^r*e + 351*b*d^2*r^2*x^3*log(c) + 135*b*r^2*x^3*x^(2*r)*e^2*log(c) + 810*b*d*r*x^3*x^r*e*log(c) + 486*b*d^2*n*r*x^3*log(x) + 324*b*n*r*x^3*x^(2*r)*e^2*log(x) + 486*b*d*n*x^3*x^r*e*log(x) - 162*b*d^2*n*r*x^3 + 351*a*d^2*r^2*x^3 - 54*b*n*r*x^3*x^(2*r)*e^2 + 135*a*r^2*x^3*x^(2*r)*e^2 - 162*b*d*n*x^3*x^r*e + 810*a*d*r*x^3*x^r*e + 486*b*d^2*r*x^3*log(c) + 324*b*r*x^3*x^(2*r)*e^2*log(c) + 486*b*d*x^3*x^r*e*log(c) + 243*b*d^2*n*x^3*log(x) + 243*b*n*x^3*x^(2*r)*e^2*log(x) - 81*b*d^2*n*x^3 + 486*a*d^2*r*x^3 - 81*b*n*x^3*x^(2*r)*e^2 + 324*a*r*x^3*x^(2*r)*e^2 + 486*a*d*x^3*x^r*e + 243*b*d^2*x^3*log(c) + 243*b*x^3*x^(2*r)*e^2*log(c) + 243*a*d^2*x^3 + 243*a*x^3*x^(2*r)*e^2)/(4*r^4 + 36*r^3 + 117*r^2 + 162*r + 81)","B",0
387,1,244,0,0.362013," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{2 \, b d n r x x^{r} e \log\left(x\right)}{r^{2} + 2 \, r + 1} + b d^{2} n x \log\left(x\right) + \frac{2 \, b n r x x^{2 \, r} e^{2} \log\left(x\right)}{4 \, r^{2} + 4 \, r + 1} + \frac{2 \, b d n x x^{r} e \log\left(x\right)}{r^{2} + 2 \, r + 1} - b d^{2} n x - \frac{2 \, b d n x x^{r} e}{r^{2} + 2 \, r + 1} + b d^{2} x \log\left(c\right) + \frac{2 \, b d x x^{r} e \log\left(c\right)}{r + 1} + \frac{b n x x^{2 \, r} e^{2} \log\left(x\right)}{4 \, r^{2} + 4 \, r + 1} + a d^{2} x - \frac{b n x x^{2 \, r} e^{2}}{4 \, r^{2} + 4 \, r + 1} + \frac{2 \, a d x x^{r} e}{r + 1} + \frac{b x x^{2 \, r} e^{2} \log\left(c\right)}{2 \, r + 1} + \frac{a x x^{2 \, r} e^{2}}{2 \, r + 1}"," ",0,"2*b*d*n*r*x*x^r*e*log(x)/(r^2 + 2*r + 1) + b*d^2*n*x*log(x) + 2*b*n*r*x*x^(2*r)*e^2*log(x)/(4*r^2 + 4*r + 1) + 2*b*d*n*x*x^r*e*log(x)/(r^2 + 2*r + 1) - b*d^2*n*x - 2*b*d*n*x*x^r*e/(r^2 + 2*r + 1) + b*d^2*x*log(c) + 2*b*d*x*x^r*e*log(c)/(r + 1) + b*n*x*x^(2*r)*e^2*log(x)/(4*r^2 + 4*r + 1) + a*d^2*x - b*n*x*x^(2*r)*e^2/(4*r^2 + 4*r + 1) + 2*a*d*x*x^r*e/(r + 1) + b*x*x^(2*r)*e^2*log(c)/(2*r + 1) + a*x*x^(2*r)*e^2/(2*r + 1)","B",0
388,0,0,0,0.000000," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{2} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{2}}\,{d x}"," ",0,"integrate((e*x^r + d)^2*(b*log(c*x^n) + a)/x^2, x)","F",0
389,0,0,0,0.000000," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^4,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{2} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{4}}\,{d x}"," ",0,"integrate((e*x^r + d)^2*(b*log(c*x^n) + a)/x^4, x)","F",0
390,0,0,0,0.000000," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^6,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{2} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{6}}\,{d x}"," ",0,"integrate((e*x^r + d)^2*(b*log(c*x^n) + a)/x^6, x)","F",0
391,0,0,0,0.000000," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^8,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{2} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{8}}\,{d x}"," ",0,"integrate((e*x^r + d)^2*(b*log(c*x^n) + a)/x^8, x)","F",0
392,1,1586,0,0.567203," ","integrate(x^5*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{6 \, b d^{3} n r^{6} x^{6} \log\left(x\right) + 108 \, b d^{2} n r^{5} x^{6} x^{r} e \log\left(x\right) - b d^{3} n r^{6} x^{6} + 6 \, b d^{3} r^{6} x^{6} \log\left(c\right) + 108 \, b d^{2} r^{5} x^{6} x^{r} e \log\left(c\right) + 132 \, b d^{3} n r^{5} x^{6} \log\left(x\right) + 54 \, b d n r^{5} x^{6} x^{2 \, r} e^{2} \log\left(x\right) + 1728 \, b d^{2} n r^{4} x^{6} x^{r} e \log\left(x\right) - 22 \, b d^{3} n r^{5} x^{6} + 6 \, a d^{3} r^{6} x^{6} - 108 \, b d^{2} n r^{4} x^{6} x^{r} e + 108 \, a d^{2} r^{5} x^{6} x^{r} e + 132 \, b d^{3} r^{5} x^{6} \log\left(c\right) + 54 \, b d r^{5} x^{6} x^{2 \, r} e^{2} \log\left(c\right) + 1728 \, b d^{2} r^{4} x^{6} x^{r} e \log\left(c\right) + 1158 \, b d^{3} n r^{4} x^{6} \log\left(x\right) + 12 \, b n r^{5} x^{6} x^{3 \, r} e^{3} \log\left(x\right) + 1026 \, b d n r^{4} x^{6} x^{2 \, r} e^{2} \log\left(x\right) + 10476 \, b d^{2} n r^{3} x^{6} x^{r} e \log\left(x\right) - 193 \, b d^{3} n r^{4} x^{6} + 132 \, a d^{3} r^{5} x^{6} - 27 \, b d n r^{4} x^{6} x^{2 \, r} e^{2} + 54 \, a d r^{5} x^{6} x^{2 \, r} e^{2} - 1080 \, b d^{2} n r^{3} x^{6} x^{r} e + 1728 \, a d^{2} r^{4} x^{6} x^{r} e + 1158 \, b d^{3} r^{4} x^{6} \log\left(c\right) + 12 \, b r^{5} x^{6} x^{3 \, r} e^{3} \log\left(c\right) + 1026 \, b d r^{4} x^{6} x^{2 \, r} e^{2} \log\left(c\right) + 10476 \, b d^{2} r^{3} x^{6} x^{r} e \log\left(c\right) + 5184 \, b d^{3} n r^{3} x^{6} \log\left(x\right) + 240 \, b n r^{4} x^{6} x^{3 \, r} e^{3} \log\left(x\right) + 7344 \, b d n r^{3} x^{6} x^{2 \, r} e^{2} \log\left(x\right) + 30456 \, b d^{2} n r^{2} x^{6} x^{r} e \log\left(x\right) - 864 \, b d^{3} n r^{3} x^{6} + 1158 \, a d^{3} r^{4} x^{6} - 4 \, b n r^{4} x^{6} x^{3 \, r} e^{3} + 12 \, a r^{5} x^{6} x^{3 \, r} e^{3} - 432 \, b d n r^{3} x^{6} x^{2 \, r} e^{2} + 1026 \, a d r^{4} x^{6} x^{2 \, r} e^{2} - 3996 \, b d^{2} n r^{2} x^{6} x^{r} e + 10476 \, a d^{2} r^{3} x^{6} x^{r} e + 5184 \, b d^{3} r^{3} x^{6} \log\left(c\right) + 240 \, b r^{4} x^{6} x^{3 \, r} e^{3} \log\left(c\right) + 7344 \, b d r^{3} x^{6} x^{2 \, r} e^{2} \log\left(c\right) + 30456 \, b d^{2} r^{2} x^{6} x^{r} e \log\left(c\right) + 12528 \, b d^{3} n r^{2} x^{6} \log\left(x\right) + 1836 \, b n r^{3} x^{6} x^{3 \, r} e^{3} \log\left(x\right) + 24624 \, b d n r^{2} x^{6} x^{2 \, r} e^{2} \log\left(x\right) + 42768 \, b d^{2} n r x^{6} x^{r} e \log\left(x\right) - 2088 \, b d^{3} n r^{2} x^{6} + 5184 \, a d^{3} r^{3} x^{6} - 72 \, b n r^{3} x^{6} x^{3 \, r} e^{3} + 240 \, a r^{4} x^{6} x^{3 \, r} e^{3} - 2376 \, b d n r^{2} x^{6} x^{2 \, r} e^{2} + 7344 \, a d r^{3} x^{6} x^{2 \, r} e^{2} - 6480 \, b d^{2} n r x^{6} x^{r} e + 30456 \, a d^{2} r^{2} x^{6} x^{r} e + 12528 \, b d^{3} r^{2} x^{6} \log\left(c\right) + 1836 \, b r^{3} x^{6} x^{3 \, r} e^{3} \log\left(c\right) + 24624 \, b d r^{2} x^{6} x^{2 \, r} e^{2} \log\left(c\right) + 42768 \, b d^{2} r x^{6} x^{r} e \log\left(c\right) + 15552 \, b d^{3} n r x^{6} \log\left(x\right) + 6696 \, b n r^{2} x^{6} x^{3 \, r} e^{3} \log\left(x\right) + 38880 \, b d n r x^{6} x^{2 \, r} e^{2} \log\left(x\right) + 23328 \, b d^{2} n x^{6} x^{r} e \log\left(x\right) - 2592 \, b d^{3} n r x^{6} + 12528 \, a d^{3} r^{2} x^{6} - 468 \, b n r^{2} x^{6} x^{3 \, r} e^{3} + 1836 \, a r^{3} x^{6} x^{3 \, r} e^{3} - 5184 \, b d n r x^{6} x^{2 \, r} e^{2} + 24624 \, a d r^{2} x^{6} x^{2 \, r} e^{2} - 3888 \, b d^{2} n x^{6} x^{r} e + 42768 \, a d^{2} r x^{6} x^{r} e + 15552 \, b d^{3} r x^{6} \log\left(c\right) + 6696 \, b r^{2} x^{6} x^{3 \, r} e^{3} \log\left(c\right) + 38880 \, b d r x^{6} x^{2 \, r} e^{2} \log\left(c\right) + 23328 \, b d^{2} x^{6} x^{r} e \log\left(c\right) + 7776 \, b d^{3} n x^{6} \log\left(x\right) + 11664 \, b n r x^{6} x^{3 \, r} e^{3} \log\left(x\right) + 23328 \, b d n x^{6} x^{2 \, r} e^{2} \log\left(x\right) - 1296 \, b d^{3} n x^{6} + 15552 \, a d^{3} r x^{6} - 1296 \, b n r x^{6} x^{3 \, r} e^{3} + 6696 \, a r^{2} x^{6} x^{3 \, r} e^{3} - 3888 \, b d n x^{6} x^{2 \, r} e^{2} + 38880 \, a d r x^{6} x^{2 \, r} e^{2} + 23328 \, a d^{2} x^{6} x^{r} e + 7776 \, b d^{3} x^{6} \log\left(c\right) + 11664 \, b r x^{6} x^{3 \, r} e^{3} \log\left(c\right) + 23328 \, b d x^{6} x^{2 \, r} e^{2} \log\left(c\right) + 7776 \, b n x^{6} x^{3 \, r} e^{3} \log\left(x\right) + 7776 \, a d^{3} x^{6} - 1296 \, b n x^{6} x^{3 \, r} e^{3} + 11664 \, a r x^{6} x^{3 \, r} e^{3} + 23328 \, a d x^{6} x^{2 \, r} e^{2} + 7776 \, b x^{6} x^{3 \, r} e^{3} \log\left(c\right) + 7776 \, a x^{6} x^{3 \, r} e^{3}}{36 \, {\left(r^{6} + 22 \, r^{5} + 193 \, r^{4} + 864 \, r^{3} + 2088 \, r^{2} + 2592 \, r + 1296\right)}}"," ",0,"1/36*(6*b*d^3*n*r^6*x^6*log(x) + 108*b*d^2*n*r^5*x^6*x^r*e*log(x) - b*d^3*n*r^6*x^6 + 6*b*d^3*r^6*x^6*log(c) + 108*b*d^2*r^5*x^6*x^r*e*log(c) + 132*b*d^3*n*r^5*x^6*log(x) + 54*b*d*n*r^5*x^6*x^(2*r)*e^2*log(x) + 1728*b*d^2*n*r^4*x^6*x^r*e*log(x) - 22*b*d^3*n*r^5*x^6 + 6*a*d^3*r^6*x^6 - 108*b*d^2*n*r^4*x^6*x^r*e + 108*a*d^2*r^5*x^6*x^r*e + 132*b*d^3*r^5*x^6*log(c) + 54*b*d*r^5*x^6*x^(2*r)*e^2*log(c) + 1728*b*d^2*r^4*x^6*x^r*e*log(c) + 1158*b*d^3*n*r^4*x^6*log(x) + 12*b*n*r^5*x^6*x^(3*r)*e^3*log(x) + 1026*b*d*n*r^4*x^6*x^(2*r)*e^2*log(x) + 10476*b*d^2*n*r^3*x^6*x^r*e*log(x) - 193*b*d^3*n*r^4*x^6 + 132*a*d^3*r^5*x^6 - 27*b*d*n*r^4*x^6*x^(2*r)*e^2 + 54*a*d*r^5*x^6*x^(2*r)*e^2 - 1080*b*d^2*n*r^3*x^6*x^r*e + 1728*a*d^2*r^4*x^6*x^r*e + 1158*b*d^3*r^4*x^6*log(c) + 12*b*r^5*x^6*x^(3*r)*e^3*log(c) + 1026*b*d*r^4*x^6*x^(2*r)*e^2*log(c) + 10476*b*d^2*r^3*x^6*x^r*e*log(c) + 5184*b*d^3*n*r^3*x^6*log(x) + 240*b*n*r^4*x^6*x^(3*r)*e^3*log(x) + 7344*b*d*n*r^3*x^6*x^(2*r)*e^2*log(x) + 30456*b*d^2*n*r^2*x^6*x^r*e*log(x) - 864*b*d^3*n*r^3*x^6 + 1158*a*d^3*r^4*x^6 - 4*b*n*r^4*x^6*x^(3*r)*e^3 + 12*a*r^5*x^6*x^(3*r)*e^3 - 432*b*d*n*r^3*x^6*x^(2*r)*e^2 + 1026*a*d*r^4*x^6*x^(2*r)*e^2 - 3996*b*d^2*n*r^2*x^6*x^r*e + 10476*a*d^2*r^3*x^6*x^r*e + 5184*b*d^3*r^3*x^6*log(c) + 240*b*r^4*x^6*x^(3*r)*e^3*log(c) + 7344*b*d*r^3*x^6*x^(2*r)*e^2*log(c) + 30456*b*d^2*r^2*x^6*x^r*e*log(c) + 12528*b*d^3*n*r^2*x^6*log(x) + 1836*b*n*r^3*x^6*x^(3*r)*e^3*log(x) + 24624*b*d*n*r^2*x^6*x^(2*r)*e^2*log(x) + 42768*b*d^2*n*r*x^6*x^r*e*log(x) - 2088*b*d^3*n*r^2*x^6 + 5184*a*d^3*r^3*x^6 - 72*b*n*r^3*x^6*x^(3*r)*e^3 + 240*a*r^4*x^6*x^(3*r)*e^3 - 2376*b*d*n*r^2*x^6*x^(2*r)*e^2 + 7344*a*d*r^3*x^6*x^(2*r)*e^2 - 6480*b*d^2*n*r*x^6*x^r*e + 30456*a*d^2*r^2*x^6*x^r*e + 12528*b*d^3*r^2*x^6*log(c) + 1836*b*r^3*x^6*x^(3*r)*e^3*log(c) + 24624*b*d*r^2*x^6*x^(2*r)*e^2*log(c) + 42768*b*d^2*r*x^6*x^r*e*log(c) + 15552*b*d^3*n*r*x^6*log(x) + 6696*b*n*r^2*x^6*x^(3*r)*e^3*log(x) + 38880*b*d*n*r*x^6*x^(2*r)*e^2*log(x) + 23328*b*d^2*n*x^6*x^r*e*log(x) - 2592*b*d^3*n*r*x^6 + 12528*a*d^3*r^2*x^6 - 468*b*n*r^2*x^6*x^(3*r)*e^3 + 1836*a*r^3*x^6*x^(3*r)*e^3 - 5184*b*d*n*r*x^6*x^(2*r)*e^2 + 24624*a*d*r^2*x^6*x^(2*r)*e^2 - 3888*b*d^2*n*x^6*x^r*e + 42768*a*d^2*r*x^6*x^r*e + 15552*b*d^3*r*x^6*log(c) + 6696*b*r^2*x^6*x^(3*r)*e^3*log(c) + 38880*b*d*r*x^6*x^(2*r)*e^2*log(c) + 23328*b*d^2*x^6*x^r*e*log(c) + 7776*b*d^3*n*x^6*log(x) + 11664*b*n*r*x^6*x^(3*r)*e^3*log(x) + 23328*b*d*n*x^6*x^(2*r)*e^2*log(x) - 1296*b*d^3*n*x^6 + 15552*a*d^3*r*x^6 - 1296*b*n*r*x^6*x^(3*r)*e^3 + 6696*a*r^2*x^6*x^(3*r)*e^3 - 3888*b*d*n*x^6*x^(2*r)*e^2 + 38880*a*d*r*x^6*x^(2*r)*e^2 + 23328*a*d^2*x^6*x^r*e + 7776*b*d^3*x^6*log(c) + 11664*b*r*x^6*x^(3*r)*e^3*log(c) + 23328*b*d*x^6*x^(2*r)*e^2*log(c) + 7776*b*n*x^6*x^(3*r)*e^3*log(x) + 7776*a*d^3*x^6 - 1296*b*n*x^6*x^(3*r)*e^3 + 11664*a*r*x^6*x^(3*r)*e^3 + 23328*a*d*x^6*x^(2*r)*e^2 + 7776*b*x^6*x^(3*r)*e^3*log(c) + 7776*a*x^6*x^(3*r)*e^3)/(r^6 + 22*r^5 + 193*r^4 + 864*r^3 + 2088*r^2 + 2592*r + 1296)","B",0
393,1,1588,0,0.491439," ","integrate(x^3*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{36 \, b d^{3} n r^{6} x^{4} \log\left(x\right) + 432 \, b d^{2} n r^{5} x^{4} x^{r} e \log\left(x\right) - 9 \, b d^{3} n r^{6} x^{4} + 36 \, b d^{3} r^{6} x^{4} \log\left(c\right) + 432 \, b d^{2} r^{5} x^{4} x^{r} e \log\left(c\right) + 528 \, b d^{3} n r^{5} x^{4} \log\left(x\right) + 216 \, b d n r^{5} x^{4} x^{2 \, r} e^{2} \log\left(x\right) + 4608 \, b d^{2} n r^{4} x^{4} x^{r} e \log\left(x\right) - 132 \, b d^{3} n r^{5} x^{4} + 36 \, a d^{3} r^{6} x^{4} - 432 \, b d^{2} n r^{4} x^{4} x^{r} e + 432 \, a d^{2} r^{5} x^{4} x^{r} e + 528 \, b d^{3} r^{5} x^{4} \log\left(c\right) + 216 \, b d r^{5} x^{4} x^{2 \, r} e^{2} \log\left(c\right) + 4608 \, b d^{2} r^{4} x^{4} x^{r} e \log\left(c\right) + 3088 \, b d^{3} n r^{4} x^{4} \log\left(x\right) + 48 \, b n r^{5} x^{4} x^{3 \, r} e^{3} \log\left(x\right) + 2736 \, b d n r^{4} x^{4} x^{2 \, r} e^{2} \log\left(x\right) + 18624 \, b d^{2} n r^{3} x^{4} x^{r} e \log\left(x\right) - 772 \, b d^{3} n r^{4} x^{4} + 528 \, a d^{3} r^{5} x^{4} - 108 \, b d n r^{4} x^{4} x^{2 \, r} e^{2} + 216 \, a d r^{5} x^{4} x^{2 \, r} e^{2} - 2880 \, b d^{2} n r^{3} x^{4} x^{r} e + 4608 \, a d^{2} r^{4} x^{4} x^{r} e + 3088 \, b d^{3} r^{4} x^{4} \log\left(c\right) + 48 \, b r^{5} x^{4} x^{3 \, r} e^{3} \log\left(c\right) + 2736 \, b d r^{4} x^{4} x^{2 \, r} e^{2} \log\left(c\right) + 18624 \, b d^{2} r^{3} x^{4} x^{r} e \log\left(c\right) + 9216 \, b d^{3} n r^{3} x^{4} \log\left(x\right) + 640 \, b n r^{4} x^{4} x^{3 \, r} e^{3} \log\left(x\right) + 13056 \, b d n r^{3} x^{4} x^{2 \, r} e^{2} \log\left(x\right) + 36096 \, b d^{2} n r^{2} x^{4} x^{r} e \log\left(x\right) - 2304 \, b d^{3} n r^{3} x^{4} + 3088 \, a d^{3} r^{4} x^{4} - 16 \, b n r^{4} x^{4} x^{3 \, r} e^{3} + 48 \, a r^{5} x^{4} x^{3 \, r} e^{3} - 1152 \, b d n r^{3} x^{4} x^{2 \, r} e^{2} + 2736 \, a d r^{4} x^{4} x^{2 \, r} e^{2} - 7104 \, b d^{2} n r^{2} x^{4} x^{r} e + 18624 \, a d^{2} r^{3} x^{4} x^{r} e + 9216 \, b d^{3} r^{3} x^{4} \log\left(c\right) + 640 \, b r^{4} x^{4} x^{3 \, r} e^{3} \log\left(c\right) + 13056 \, b d r^{3} x^{4} x^{2 \, r} e^{2} \log\left(c\right) + 36096 \, b d^{2} r^{2} x^{4} x^{r} e \log\left(c\right) + 14848 \, b d^{3} n r^{2} x^{4} \log\left(x\right) + 3264 \, b n r^{3} x^{4} x^{3 \, r} e^{3} \log\left(x\right) + 29184 \, b d n r^{2} x^{4} x^{2 \, r} e^{2} \log\left(x\right) + 33792 \, b d^{2} n r x^{4} x^{r} e \log\left(x\right) - 3712 \, b d^{3} n r^{2} x^{4} + 9216 \, a d^{3} r^{3} x^{4} - 192 \, b n r^{3} x^{4} x^{3 \, r} e^{3} + 640 \, a r^{4} x^{4} x^{3 \, r} e^{3} - 4224 \, b d n r^{2} x^{4} x^{2 \, r} e^{2} + 13056 \, a d r^{3} x^{4} x^{2 \, r} e^{2} - 7680 \, b d^{2} n r x^{4} x^{r} e + 36096 \, a d^{2} r^{2} x^{4} x^{r} e + 14848 \, b d^{3} r^{2} x^{4} \log\left(c\right) + 3264 \, b r^{3} x^{4} x^{3 \, r} e^{3} \log\left(c\right) + 29184 \, b d r^{2} x^{4} x^{2 \, r} e^{2} \log\left(c\right) + 33792 \, b d^{2} r x^{4} x^{r} e \log\left(c\right) + 12288 \, b d^{3} n r x^{4} \log\left(x\right) + 7936 \, b n r^{2} x^{4} x^{3 \, r} e^{3} \log\left(x\right) + 30720 \, b d n r x^{4} x^{2 \, r} e^{2} \log\left(x\right) + 12288 \, b d^{2} n x^{4} x^{r} e \log\left(x\right) - 3072 \, b d^{3} n r x^{4} + 14848 \, a d^{3} r^{2} x^{4} - 832 \, b n r^{2} x^{4} x^{3 \, r} e^{3} + 3264 \, a r^{3} x^{4} x^{3 \, r} e^{3} - 6144 \, b d n r x^{4} x^{2 \, r} e^{2} + 29184 \, a d r^{2} x^{4} x^{2 \, r} e^{2} - 3072 \, b d^{2} n x^{4} x^{r} e + 33792 \, a d^{2} r x^{4} x^{r} e + 12288 \, b d^{3} r x^{4} \log\left(c\right) + 7936 \, b r^{2} x^{4} x^{3 \, r} e^{3} \log\left(c\right) + 30720 \, b d r x^{4} x^{2 \, r} e^{2} \log\left(c\right) + 12288 \, b d^{2} x^{4} x^{r} e \log\left(c\right) + 4096 \, b d^{3} n x^{4} \log\left(x\right) + 9216 \, b n r x^{4} x^{3 \, r} e^{3} \log\left(x\right) + 12288 \, b d n x^{4} x^{2 \, r} e^{2} \log\left(x\right) - 1024 \, b d^{3} n x^{4} + 12288 \, a d^{3} r x^{4} - 1536 \, b n r x^{4} x^{3 \, r} e^{3} + 7936 \, a r^{2} x^{4} x^{3 \, r} e^{3} - 3072 \, b d n x^{4} x^{2 \, r} e^{2} + 30720 \, a d r x^{4} x^{2 \, r} e^{2} + 12288 \, a d^{2} x^{4} x^{r} e + 4096 \, b d^{3} x^{4} \log\left(c\right) + 9216 \, b r x^{4} x^{3 \, r} e^{3} \log\left(c\right) + 12288 \, b d x^{4} x^{2 \, r} e^{2} \log\left(c\right) + 4096 \, b n x^{4} x^{3 \, r} e^{3} \log\left(x\right) + 4096 \, a d^{3} x^{4} - 1024 \, b n x^{4} x^{3 \, r} e^{3} + 9216 \, a r x^{4} x^{3 \, r} e^{3} + 12288 \, a d x^{4} x^{2 \, r} e^{2} + 4096 \, b x^{4} x^{3 \, r} e^{3} \log\left(c\right) + 4096 \, a x^{4} x^{3 \, r} e^{3}}{16 \, {\left(9 \, r^{6} + 132 \, r^{5} + 772 \, r^{4} + 2304 \, r^{3} + 3712 \, r^{2} + 3072 \, r + 1024\right)}}"," ",0,"1/16*(36*b*d^3*n*r^6*x^4*log(x) + 432*b*d^2*n*r^5*x^4*x^r*e*log(x) - 9*b*d^3*n*r^6*x^4 + 36*b*d^3*r^6*x^4*log(c) + 432*b*d^2*r^5*x^4*x^r*e*log(c) + 528*b*d^3*n*r^5*x^4*log(x) + 216*b*d*n*r^5*x^4*x^(2*r)*e^2*log(x) + 4608*b*d^2*n*r^4*x^4*x^r*e*log(x) - 132*b*d^3*n*r^5*x^4 + 36*a*d^3*r^6*x^4 - 432*b*d^2*n*r^4*x^4*x^r*e + 432*a*d^2*r^5*x^4*x^r*e + 528*b*d^3*r^5*x^4*log(c) + 216*b*d*r^5*x^4*x^(2*r)*e^2*log(c) + 4608*b*d^2*r^4*x^4*x^r*e*log(c) + 3088*b*d^3*n*r^4*x^4*log(x) + 48*b*n*r^5*x^4*x^(3*r)*e^3*log(x) + 2736*b*d*n*r^4*x^4*x^(2*r)*e^2*log(x) + 18624*b*d^2*n*r^3*x^4*x^r*e*log(x) - 772*b*d^3*n*r^4*x^4 + 528*a*d^3*r^5*x^4 - 108*b*d*n*r^4*x^4*x^(2*r)*e^2 + 216*a*d*r^5*x^4*x^(2*r)*e^2 - 2880*b*d^2*n*r^3*x^4*x^r*e + 4608*a*d^2*r^4*x^4*x^r*e + 3088*b*d^3*r^4*x^4*log(c) + 48*b*r^5*x^4*x^(3*r)*e^3*log(c) + 2736*b*d*r^4*x^4*x^(2*r)*e^2*log(c) + 18624*b*d^2*r^3*x^4*x^r*e*log(c) + 9216*b*d^3*n*r^3*x^4*log(x) + 640*b*n*r^4*x^4*x^(3*r)*e^3*log(x) + 13056*b*d*n*r^3*x^4*x^(2*r)*e^2*log(x) + 36096*b*d^2*n*r^2*x^4*x^r*e*log(x) - 2304*b*d^3*n*r^3*x^4 + 3088*a*d^3*r^4*x^4 - 16*b*n*r^4*x^4*x^(3*r)*e^3 + 48*a*r^5*x^4*x^(3*r)*e^3 - 1152*b*d*n*r^3*x^4*x^(2*r)*e^2 + 2736*a*d*r^4*x^4*x^(2*r)*e^2 - 7104*b*d^2*n*r^2*x^4*x^r*e + 18624*a*d^2*r^3*x^4*x^r*e + 9216*b*d^3*r^3*x^4*log(c) + 640*b*r^4*x^4*x^(3*r)*e^3*log(c) + 13056*b*d*r^3*x^4*x^(2*r)*e^2*log(c) + 36096*b*d^2*r^2*x^4*x^r*e*log(c) + 14848*b*d^3*n*r^2*x^4*log(x) + 3264*b*n*r^3*x^4*x^(3*r)*e^3*log(x) + 29184*b*d*n*r^2*x^4*x^(2*r)*e^2*log(x) + 33792*b*d^2*n*r*x^4*x^r*e*log(x) - 3712*b*d^3*n*r^2*x^4 + 9216*a*d^3*r^3*x^4 - 192*b*n*r^3*x^4*x^(3*r)*e^3 + 640*a*r^4*x^4*x^(3*r)*e^3 - 4224*b*d*n*r^2*x^4*x^(2*r)*e^2 + 13056*a*d*r^3*x^4*x^(2*r)*e^2 - 7680*b*d^2*n*r*x^4*x^r*e + 36096*a*d^2*r^2*x^4*x^r*e + 14848*b*d^3*r^2*x^4*log(c) + 3264*b*r^3*x^4*x^(3*r)*e^3*log(c) + 29184*b*d*r^2*x^4*x^(2*r)*e^2*log(c) + 33792*b*d^2*r*x^4*x^r*e*log(c) + 12288*b*d^3*n*r*x^4*log(x) + 7936*b*n*r^2*x^4*x^(3*r)*e^3*log(x) + 30720*b*d*n*r*x^4*x^(2*r)*e^2*log(x) + 12288*b*d^2*n*x^4*x^r*e*log(x) - 3072*b*d^3*n*r*x^4 + 14848*a*d^3*r^2*x^4 - 832*b*n*r^2*x^4*x^(3*r)*e^3 + 3264*a*r^3*x^4*x^(3*r)*e^3 - 6144*b*d*n*r*x^4*x^(2*r)*e^2 + 29184*a*d*r^2*x^4*x^(2*r)*e^2 - 3072*b*d^2*n*x^4*x^r*e + 33792*a*d^2*r*x^4*x^r*e + 12288*b*d^3*r*x^4*log(c) + 7936*b*r^2*x^4*x^(3*r)*e^3*log(c) + 30720*b*d*r*x^4*x^(2*r)*e^2*log(c) + 12288*b*d^2*x^4*x^r*e*log(c) + 4096*b*d^3*n*x^4*log(x) + 9216*b*n*r*x^4*x^(3*r)*e^3*log(x) + 12288*b*d*n*x^4*x^(2*r)*e^2*log(x) - 1024*b*d^3*n*x^4 + 12288*a*d^3*r*x^4 - 1536*b*n*r*x^4*x^(3*r)*e^3 + 7936*a*r^2*x^4*x^(3*r)*e^3 - 3072*b*d*n*x^4*x^(2*r)*e^2 + 30720*a*d*r*x^4*x^(2*r)*e^2 + 12288*a*d^2*x^4*x^r*e + 4096*b*d^3*x^4*log(c) + 9216*b*r*x^4*x^(3*r)*e^3*log(c) + 12288*b*d*x^4*x^(2*r)*e^2*log(c) + 4096*b*n*x^4*x^(3*r)*e^3*log(x) + 4096*a*d^3*x^4 - 1024*b*n*x^4*x^(3*r)*e^3 + 9216*a*r*x^4*x^(3*r)*e^3 + 12288*a*d*x^4*x^(2*r)*e^2 + 4096*b*x^4*x^(3*r)*e^3*log(c) + 4096*a*x^4*x^(3*r)*e^3)/(9*r^6 + 132*r^5 + 772*r^4 + 2304*r^3 + 3712*r^2 + 3072*r + 1024)","B",0
394,1,1588,0,0.537908," ","integrate(x*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{18 \, b d^{3} n r^{6} x^{2} \log\left(x\right) + 108 \, b d^{2} n r^{5} x^{2} x^{r} e \log\left(x\right) - 9 \, b d^{3} n r^{6} x^{2} + 18 \, b d^{3} r^{6} x^{2} \log\left(c\right) + 108 \, b d^{2} r^{5} x^{2} x^{r} e \log\left(c\right) + 132 \, b d^{3} n r^{5} x^{2} \log\left(x\right) + 54 \, b d n r^{5} x^{2} x^{2 \, r} e^{2} \log\left(x\right) + 576 \, b d^{2} n r^{4} x^{2} x^{r} e \log\left(x\right) - 66 \, b d^{3} n r^{5} x^{2} + 18 \, a d^{3} r^{6} x^{2} - 108 \, b d^{2} n r^{4} x^{2} x^{r} e + 108 \, a d^{2} r^{5} x^{2} x^{r} e + 132 \, b d^{3} r^{5} x^{2} \log\left(c\right) + 54 \, b d r^{5} x^{2} x^{2 \, r} e^{2} \log\left(c\right) + 576 \, b d^{2} r^{4} x^{2} x^{r} e \log\left(c\right) + 386 \, b d^{3} n r^{4} x^{2} \log\left(x\right) + 12 \, b n r^{5} x^{2} x^{3 \, r} e^{3} \log\left(x\right) + 342 \, b d n r^{4} x^{2} x^{2 \, r} e^{2} \log\left(x\right) + 1164 \, b d^{2} n r^{3} x^{2} x^{r} e \log\left(x\right) - 193 \, b d^{3} n r^{4} x^{2} + 132 \, a d^{3} r^{5} x^{2} - 27 \, b d n r^{4} x^{2} x^{2 \, r} e^{2} + 54 \, a d r^{5} x^{2} x^{2 \, r} e^{2} - 360 \, b d^{2} n r^{3} x^{2} x^{r} e + 576 \, a d^{2} r^{4} x^{2} x^{r} e + 386 \, b d^{3} r^{4} x^{2} \log\left(c\right) + 12 \, b r^{5} x^{2} x^{3 \, r} e^{3} \log\left(c\right) + 342 \, b d r^{4} x^{2} x^{2 \, r} e^{2} \log\left(c\right) + 1164 \, b d^{2} r^{3} x^{2} x^{r} e \log\left(c\right) + 576 \, b d^{3} n r^{3} x^{2} \log\left(x\right) + 80 \, b n r^{4} x^{2} x^{3 \, r} e^{3} \log\left(x\right) + 816 \, b d n r^{3} x^{2} x^{2 \, r} e^{2} \log\left(x\right) + 1128 \, b d^{2} n r^{2} x^{2} x^{r} e \log\left(x\right) - 288 \, b d^{3} n r^{3} x^{2} + 386 \, a d^{3} r^{4} x^{2} - 4 \, b n r^{4} x^{2} x^{3 \, r} e^{3} + 12 \, a r^{5} x^{2} x^{3 \, r} e^{3} - 144 \, b d n r^{3} x^{2} x^{2 \, r} e^{2} + 342 \, a d r^{4} x^{2} x^{2 \, r} e^{2} - 444 \, b d^{2} n r^{2} x^{2} x^{r} e + 1164 \, a d^{2} r^{3} x^{2} x^{r} e + 576 \, b d^{3} r^{3} x^{2} \log\left(c\right) + 80 \, b r^{4} x^{2} x^{3 \, r} e^{3} \log\left(c\right) + 816 \, b d r^{3} x^{2} x^{2 \, r} e^{2} \log\left(c\right) + 1128 \, b d^{2} r^{2} x^{2} x^{r} e \log\left(c\right) + 464 \, b d^{3} n r^{2} x^{2} \log\left(x\right) + 204 \, b n r^{3} x^{2} x^{3 \, r} e^{3} \log\left(x\right) + 912 \, b d n r^{2} x^{2} x^{2 \, r} e^{2} \log\left(x\right) + 528 \, b d^{2} n r x^{2} x^{r} e \log\left(x\right) - 232 \, b d^{3} n r^{2} x^{2} + 576 \, a d^{3} r^{3} x^{2} - 24 \, b n r^{3} x^{2} x^{3 \, r} e^{3} + 80 \, a r^{4} x^{2} x^{3 \, r} e^{3} - 264 \, b d n r^{2} x^{2} x^{2 \, r} e^{2} + 816 \, a d r^{3} x^{2} x^{2 \, r} e^{2} - 240 \, b d^{2} n r x^{2} x^{r} e + 1128 \, a d^{2} r^{2} x^{2} x^{r} e + 464 \, b d^{3} r^{2} x^{2} \log\left(c\right) + 204 \, b r^{3} x^{2} x^{3 \, r} e^{3} \log\left(c\right) + 912 \, b d r^{2} x^{2} x^{2 \, r} e^{2} \log\left(c\right) + 528 \, b d^{2} r x^{2} x^{r} e \log\left(c\right) + 192 \, b d^{3} n r x^{2} \log\left(x\right) + 248 \, b n r^{2} x^{2} x^{3 \, r} e^{3} \log\left(x\right) + 480 \, b d n r x^{2} x^{2 \, r} e^{2} \log\left(x\right) + 96 \, b d^{2} n x^{2} x^{r} e \log\left(x\right) - 96 \, b d^{3} n r x^{2} + 464 \, a d^{3} r^{2} x^{2} - 52 \, b n r^{2} x^{2} x^{3 \, r} e^{3} + 204 \, a r^{3} x^{2} x^{3 \, r} e^{3} - 192 \, b d n r x^{2} x^{2 \, r} e^{2} + 912 \, a d r^{2} x^{2} x^{2 \, r} e^{2} - 48 \, b d^{2} n x^{2} x^{r} e + 528 \, a d^{2} r x^{2} x^{r} e + 192 \, b d^{3} r x^{2} \log\left(c\right) + 248 \, b r^{2} x^{2} x^{3 \, r} e^{3} \log\left(c\right) + 480 \, b d r x^{2} x^{2 \, r} e^{2} \log\left(c\right) + 96 \, b d^{2} x^{2} x^{r} e \log\left(c\right) + 32 \, b d^{3} n x^{2} \log\left(x\right) + 144 \, b n r x^{2} x^{3 \, r} e^{3} \log\left(x\right) + 96 \, b d n x^{2} x^{2 \, r} e^{2} \log\left(x\right) - 16 \, b d^{3} n x^{2} + 192 \, a d^{3} r x^{2} - 48 \, b n r x^{2} x^{3 \, r} e^{3} + 248 \, a r^{2} x^{2} x^{3 \, r} e^{3} - 48 \, b d n x^{2} x^{2 \, r} e^{2} + 480 \, a d r x^{2} x^{2 \, r} e^{2} + 96 \, a d^{2} x^{2} x^{r} e + 32 \, b d^{3} x^{2} \log\left(c\right) + 144 \, b r x^{2} x^{3 \, r} e^{3} \log\left(c\right) + 96 \, b d x^{2} x^{2 \, r} e^{2} \log\left(c\right) + 32 \, b n x^{2} x^{3 \, r} e^{3} \log\left(x\right) + 32 \, a d^{3} x^{2} - 16 \, b n x^{2} x^{3 \, r} e^{3} + 144 \, a r x^{2} x^{3 \, r} e^{3} + 96 \, a d x^{2} x^{2 \, r} e^{2} + 32 \, b x^{2} x^{3 \, r} e^{3} \log\left(c\right) + 32 \, a x^{2} x^{3 \, r} e^{3}}{4 \, {\left(9 \, r^{6} + 66 \, r^{5} + 193 \, r^{4} + 288 \, r^{3} + 232 \, r^{2} + 96 \, r + 16\right)}}"," ",0,"1/4*(18*b*d^3*n*r^6*x^2*log(x) + 108*b*d^2*n*r^5*x^2*x^r*e*log(x) - 9*b*d^3*n*r^6*x^2 + 18*b*d^3*r^6*x^2*log(c) + 108*b*d^2*r^5*x^2*x^r*e*log(c) + 132*b*d^3*n*r^5*x^2*log(x) + 54*b*d*n*r^5*x^2*x^(2*r)*e^2*log(x) + 576*b*d^2*n*r^4*x^2*x^r*e*log(x) - 66*b*d^3*n*r^5*x^2 + 18*a*d^3*r^6*x^2 - 108*b*d^2*n*r^4*x^2*x^r*e + 108*a*d^2*r^5*x^2*x^r*e + 132*b*d^3*r^5*x^2*log(c) + 54*b*d*r^5*x^2*x^(2*r)*e^2*log(c) + 576*b*d^2*r^4*x^2*x^r*e*log(c) + 386*b*d^3*n*r^4*x^2*log(x) + 12*b*n*r^5*x^2*x^(3*r)*e^3*log(x) + 342*b*d*n*r^4*x^2*x^(2*r)*e^2*log(x) + 1164*b*d^2*n*r^3*x^2*x^r*e*log(x) - 193*b*d^3*n*r^4*x^2 + 132*a*d^3*r^5*x^2 - 27*b*d*n*r^4*x^2*x^(2*r)*e^2 + 54*a*d*r^5*x^2*x^(2*r)*e^2 - 360*b*d^2*n*r^3*x^2*x^r*e + 576*a*d^2*r^4*x^2*x^r*e + 386*b*d^3*r^4*x^2*log(c) + 12*b*r^5*x^2*x^(3*r)*e^3*log(c) + 342*b*d*r^4*x^2*x^(2*r)*e^2*log(c) + 1164*b*d^2*r^3*x^2*x^r*e*log(c) + 576*b*d^3*n*r^3*x^2*log(x) + 80*b*n*r^4*x^2*x^(3*r)*e^3*log(x) + 816*b*d*n*r^3*x^2*x^(2*r)*e^2*log(x) + 1128*b*d^2*n*r^2*x^2*x^r*e*log(x) - 288*b*d^3*n*r^3*x^2 + 386*a*d^3*r^4*x^2 - 4*b*n*r^4*x^2*x^(3*r)*e^3 + 12*a*r^5*x^2*x^(3*r)*e^3 - 144*b*d*n*r^3*x^2*x^(2*r)*e^2 + 342*a*d*r^4*x^2*x^(2*r)*e^2 - 444*b*d^2*n*r^2*x^2*x^r*e + 1164*a*d^2*r^3*x^2*x^r*e + 576*b*d^3*r^3*x^2*log(c) + 80*b*r^4*x^2*x^(3*r)*e^3*log(c) + 816*b*d*r^3*x^2*x^(2*r)*e^2*log(c) + 1128*b*d^2*r^2*x^2*x^r*e*log(c) + 464*b*d^3*n*r^2*x^2*log(x) + 204*b*n*r^3*x^2*x^(3*r)*e^3*log(x) + 912*b*d*n*r^2*x^2*x^(2*r)*e^2*log(x) + 528*b*d^2*n*r*x^2*x^r*e*log(x) - 232*b*d^3*n*r^2*x^2 + 576*a*d^3*r^3*x^2 - 24*b*n*r^3*x^2*x^(3*r)*e^3 + 80*a*r^4*x^2*x^(3*r)*e^3 - 264*b*d*n*r^2*x^2*x^(2*r)*e^2 + 816*a*d*r^3*x^2*x^(2*r)*e^2 - 240*b*d^2*n*r*x^2*x^r*e + 1128*a*d^2*r^2*x^2*x^r*e + 464*b*d^3*r^2*x^2*log(c) + 204*b*r^3*x^2*x^(3*r)*e^3*log(c) + 912*b*d*r^2*x^2*x^(2*r)*e^2*log(c) + 528*b*d^2*r*x^2*x^r*e*log(c) + 192*b*d^3*n*r*x^2*log(x) + 248*b*n*r^2*x^2*x^(3*r)*e^3*log(x) + 480*b*d*n*r*x^2*x^(2*r)*e^2*log(x) + 96*b*d^2*n*x^2*x^r*e*log(x) - 96*b*d^3*n*r*x^2 + 464*a*d^3*r^2*x^2 - 52*b*n*r^2*x^2*x^(3*r)*e^3 + 204*a*r^3*x^2*x^(3*r)*e^3 - 192*b*d*n*r*x^2*x^(2*r)*e^2 + 912*a*d*r^2*x^2*x^(2*r)*e^2 - 48*b*d^2*n*x^2*x^r*e + 528*a*d^2*r*x^2*x^r*e + 192*b*d^3*r*x^2*log(c) + 248*b*r^2*x^2*x^(3*r)*e^3*log(c) + 480*b*d*r*x^2*x^(2*r)*e^2*log(c) + 96*b*d^2*x^2*x^r*e*log(c) + 32*b*d^3*n*x^2*log(x) + 144*b*n*r*x^2*x^(3*r)*e^3*log(x) + 96*b*d*n*x^2*x^(2*r)*e^2*log(x) - 16*b*d^3*n*x^2 + 192*a*d^3*r*x^2 - 48*b*n*r*x^2*x^(3*r)*e^3 + 248*a*r^2*x^2*x^(3*r)*e^3 - 48*b*d*n*x^2*x^(2*r)*e^2 + 480*a*d*r*x^2*x^(2*r)*e^2 + 96*a*d^2*x^2*x^r*e + 32*b*d^3*x^2*log(c) + 144*b*r*x^2*x^(3*r)*e^3*log(c) + 96*b*d*x^2*x^(2*r)*e^2*log(c) + 32*b*n*x^2*x^(3*r)*e^3*log(x) + 32*a*d^3*x^2 - 16*b*n*x^2*x^(3*r)*e^3 + 144*a*r*x^2*x^(3*r)*e^3 + 96*a*d*x^2*x^(2*r)*e^2 + 32*b*x^2*x^(3*r)*e^3*log(c) + 32*a*x^2*x^(3*r)*e^3)/(9*r^6 + 66*r^5 + 193*r^4 + 288*r^3 + 232*r^2 + 96*r + 16)","B",0
395,1,210,0,0.365562," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{1}{2} \, b d^{3} n \log\left(x\right)^{2} + \frac{3 \, b d^{2} n x^{r} e \log\left(x\right)}{r} + b d^{3} \log\left(c\right) \log\left(x\right) + \frac{3 \, b d^{2} x^{r} e \log\left(c\right)}{r} + a d^{3} \log\left(x\right) + \frac{3 \, b d n x^{2 \, r} e^{2} \log\left(x\right)}{2 \, r} - \frac{3 \, b d^{2} n x^{r} e}{r^{2}} + \frac{3 \, a d^{2} x^{r} e}{r} + \frac{3 \, b d x^{2 \, r} e^{2} \log\left(c\right)}{2 \, r} + \frac{b n x^{3 \, r} e^{3} \log\left(x\right)}{3 \, r} - \frac{3 \, b d n x^{2 \, r} e^{2}}{4 \, r^{2}} + \frac{3 \, a d x^{2 \, r} e^{2}}{2 \, r} + \frac{b x^{3 \, r} e^{3} \log\left(c\right)}{3 \, r} - \frac{b n x^{3 \, r} e^{3}}{9 \, r^{2}} + \frac{a x^{3 \, r} e^{3}}{3 \, r}"," ",0,"1/2*b*d^3*n*log(x)^2 + 3*b*d^2*n*x^r*e*log(x)/r + b*d^3*log(c)*log(x) + 3*b*d^2*x^r*e*log(c)/r + a*d^3*log(x) + 3/2*b*d*n*x^(2*r)*e^2*log(x)/r - 3*b*d^2*n*x^r*e/r^2 + 3*a*d^2*x^r*e/r + 3/2*b*d*x^(2*r)*e^2*log(c)/r + 1/3*b*n*x^(3*r)*e^3*log(x)/r - 3/4*b*d*n*x^(2*r)*e^2/r^2 + 3/2*a*d*x^(2*r)*e^2/r + 1/3*b*x^(3*r)*e^3*log(c)/r - 1/9*b*n*x^(3*r)*e^3/r^2 + 1/3*a*x^(3*r)*e^3/r","A",0
396,0,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^3,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{3} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{3}}\,{d x}"," ",0,"integrate((e*x^r + d)^3*(b*log(c*x^n) + a)/x^3, x)","F",0
397,0,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^5,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{3} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{5}}\,{d x}"," ",0,"integrate((e*x^r + d)^3*(b*log(c*x^n) + a)/x^5, x)","F",0
398,1,1588,0,0.601868," ","integrate(x^4*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{180 \, b d^{3} n r^{6} x^{5} \log\left(x\right) + 2700 \, b d^{2} n r^{5} x^{5} x^{r} e \log\left(x\right) - 36 \, b d^{3} n r^{6} x^{5} + 180 \, b d^{3} r^{6} x^{5} \log\left(c\right) + 2700 \, b d^{2} r^{5} x^{5} x^{r} e \log\left(c\right) + 3300 \, b d^{3} n r^{5} x^{5} \log\left(x\right) + 1350 \, b d n r^{5} x^{5} x^{2 \, r} e^{2} \log\left(x\right) + 36000 \, b d^{2} n r^{4} x^{5} x^{r} e \log\left(x\right) - 660 \, b d^{3} n r^{5} x^{5} + 180 \, a d^{3} r^{6} x^{5} - 2700 \, b d^{2} n r^{4} x^{5} x^{r} e + 2700 \, a d^{2} r^{5} x^{5} x^{r} e + 3300 \, b d^{3} r^{5} x^{5} \log\left(c\right) + 1350 \, b d r^{5} x^{5} x^{2 \, r} e^{2} \log\left(c\right) + 36000 \, b d^{2} r^{4} x^{5} x^{r} e \log\left(c\right) + 24125 \, b d^{3} n r^{4} x^{5} \log\left(x\right) + 300 \, b n r^{5} x^{5} x^{3 \, r} e^{3} \log\left(x\right) + 21375 \, b d n r^{4} x^{5} x^{2 \, r} e^{2} \log\left(x\right) + 181875 \, b d^{2} n r^{3} x^{5} x^{r} e \log\left(x\right) - 4825 \, b d^{3} n r^{4} x^{5} + 3300 \, a d^{3} r^{5} x^{5} - 675 \, b d n r^{4} x^{5} x^{2 \, r} e^{2} + 1350 \, a d r^{5} x^{5} x^{2 \, r} e^{2} - 22500 \, b d^{2} n r^{3} x^{5} x^{r} e + 36000 \, a d^{2} r^{4} x^{5} x^{r} e + 24125 \, b d^{3} r^{4} x^{5} \log\left(c\right) + 300 \, b r^{5} x^{5} x^{3 \, r} e^{3} \log\left(c\right) + 21375 \, b d r^{4} x^{5} x^{2 \, r} e^{2} \log\left(c\right) + 181875 \, b d^{2} r^{3} x^{5} x^{r} e \log\left(c\right) + 90000 \, b d^{3} n r^{3} x^{5} \log\left(x\right) + 5000 \, b n r^{4} x^{5} x^{3 \, r} e^{3} \log\left(x\right) + 127500 \, b d n r^{3} x^{5} x^{2 \, r} e^{2} \log\left(x\right) + 440625 \, b d^{2} n r^{2} x^{5} x^{r} e \log\left(x\right) - 18000 \, b d^{3} n r^{3} x^{5} + 24125 \, a d^{3} r^{4} x^{5} - 100 \, b n r^{4} x^{5} x^{3 \, r} e^{3} + 300 \, a r^{5} x^{5} x^{3 \, r} e^{3} - 9000 \, b d n r^{3} x^{5} x^{2 \, r} e^{2} + 21375 \, a d r^{4} x^{5} x^{2 \, r} e^{2} - 69375 \, b d^{2} n r^{2} x^{5} x^{r} e + 181875 \, a d^{2} r^{3} x^{5} x^{r} e + 90000 \, b d^{3} r^{3} x^{5} \log\left(c\right) + 5000 \, b r^{4} x^{5} x^{3 \, r} e^{3} \log\left(c\right) + 127500 \, b d r^{3} x^{5} x^{2 \, r} e^{2} \log\left(c\right) + 440625 \, b d^{2} r^{2} x^{5} x^{r} e \log\left(c\right) + 181250 \, b d^{3} n r^{2} x^{5} \log\left(x\right) + 31875 \, b n r^{3} x^{5} x^{3 \, r} e^{3} \log\left(x\right) + 356250 \, b d n r^{2} x^{5} x^{2 \, r} e^{2} \log\left(x\right) + 515625 \, b d^{2} n r x^{5} x^{r} e \log\left(x\right) - 36250 \, b d^{3} n r^{2} x^{5} + 90000 \, a d^{3} r^{3} x^{5} - 1500 \, b n r^{3} x^{5} x^{3 \, r} e^{3} + 5000 \, a r^{4} x^{5} x^{3 \, r} e^{3} - 41250 \, b d n r^{2} x^{5} x^{2 \, r} e^{2} + 127500 \, a d r^{3} x^{5} x^{2 \, r} e^{2} - 93750 \, b d^{2} n r x^{5} x^{r} e + 440625 \, a d^{2} r^{2} x^{5} x^{r} e + 181250 \, b d^{3} r^{2} x^{5} \log\left(c\right) + 31875 \, b r^{3} x^{5} x^{3 \, r} e^{3} \log\left(c\right) + 356250 \, b d r^{2} x^{5} x^{2 \, r} e^{2} \log\left(c\right) + 515625 \, b d^{2} r x^{5} x^{r} e \log\left(c\right) + 187500 \, b d^{3} n r x^{5} \log\left(x\right) + 96875 \, b n r^{2} x^{5} x^{3 \, r} e^{3} \log\left(x\right) + 468750 \, b d n r x^{5} x^{2 \, r} e^{2} \log\left(x\right) + 234375 \, b d^{2} n x^{5} x^{r} e \log\left(x\right) - 37500 \, b d^{3} n r x^{5} + 181250 \, a d^{3} r^{2} x^{5} - 8125 \, b n r^{2} x^{5} x^{3 \, r} e^{3} + 31875 \, a r^{3} x^{5} x^{3 \, r} e^{3} - 75000 \, b d n r x^{5} x^{2 \, r} e^{2} + 356250 \, a d r^{2} x^{5} x^{2 \, r} e^{2} - 46875 \, b d^{2} n x^{5} x^{r} e + 515625 \, a d^{2} r x^{5} x^{r} e + 187500 \, b d^{3} r x^{5} \log\left(c\right) + 96875 \, b r^{2} x^{5} x^{3 \, r} e^{3} \log\left(c\right) + 468750 \, b d r x^{5} x^{2 \, r} e^{2} \log\left(c\right) + 234375 \, b d^{2} x^{5} x^{r} e \log\left(c\right) + 78125 \, b d^{3} n x^{5} \log\left(x\right) + 140625 \, b n r x^{5} x^{3 \, r} e^{3} \log\left(x\right) + 234375 \, b d n x^{5} x^{2 \, r} e^{2} \log\left(x\right) - 15625 \, b d^{3} n x^{5} + 187500 \, a d^{3} r x^{5} - 18750 \, b n r x^{5} x^{3 \, r} e^{3} + 96875 \, a r^{2} x^{5} x^{3 \, r} e^{3} - 46875 \, b d n x^{5} x^{2 \, r} e^{2} + 468750 \, a d r x^{5} x^{2 \, r} e^{2} + 234375 \, a d^{2} x^{5} x^{r} e + 78125 \, b d^{3} x^{5} \log\left(c\right) + 140625 \, b r x^{5} x^{3 \, r} e^{3} \log\left(c\right) + 234375 \, b d x^{5} x^{2 \, r} e^{2} \log\left(c\right) + 78125 \, b n x^{5} x^{3 \, r} e^{3} \log\left(x\right) + 78125 \, a d^{3} x^{5} - 15625 \, b n x^{5} x^{3 \, r} e^{3} + 140625 \, a r x^{5} x^{3 \, r} e^{3} + 234375 \, a d x^{5} x^{2 \, r} e^{2} + 78125 \, b x^{5} x^{3 \, r} e^{3} \log\left(c\right) + 78125 \, a x^{5} x^{3 \, r} e^{3}}{25 \, {\left(36 \, r^{6} + 660 \, r^{5} + 4825 \, r^{4} + 18000 \, r^{3} + 36250 \, r^{2} + 37500 \, r + 15625\right)}}"," ",0,"1/25*(180*b*d^3*n*r^6*x^5*log(x) + 2700*b*d^2*n*r^5*x^5*x^r*e*log(x) - 36*b*d^3*n*r^6*x^5 + 180*b*d^3*r^6*x^5*log(c) + 2700*b*d^2*r^5*x^5*x^r*e*log(c) + 3300*b*d^3*n*r^5*x^5*log(x) + 1350*b*d*n*r^5*x^5*x^(2*r)*e^2*log(x) + 36000*b*d^2*n*r^4*x^5*x^r*e*log(x) - 660*b*d^3*n*r^5*x^5 + 180*a*d^3*r^6*x^5 - 2700*b*d^2*n*r^4*x^5*x^r*e + 2700*a*d^2*r^5*x^5*x^r*e + 3300*b*d^3*r^5*x^5*log(c) + 1350*b*d*r^5*x^5*x^(2*r)*e^2*log(c) + 36000*b*d^2*r^4*x^5*x^r*e*log(c) + 24125*b*d^3*n*r^4*x^5*log(x) + 300*b*n*r^5*x^5*x^(3*r)*e^3*log(x) + 21375*b*d*n*r^4*x^5*x^(2*r)*e^2*log(x) + 181875*b*d^2*n*r^3*x^5*x^r*e*log(x) - 4825*b*d^3*n*r^4*x^5 + 3300*a*d^3*r^5*x^5 - 675*b*d*n*r^4*x^5*x^(2*r)*e^2 + 1350*a*d*r^5*x^5*x^(2*r)*e^2 - 22500*b*d^2*n*r^3*x^5*x^r*e + 36000*a*d^2*r^4*x^5*x^r*e + 24125*b*d^3*r^4*x^5*log(c) + 300*b*r^5*x^5*x^(3*r)*e^3*log(c) + 21375*b*d*r^4*x^5*x^(2*r)*e^2*log(c) + 181875*b*d^2*r^3*x^5*x^r*e*log(c) + 90000*b*d^3*n*r^3*x^5*log(x) + 5000*b*n*r^4*x^5*x^(3*r)*e^3*log(x) + 127500*b*d*n*r^3*x^5*x^(2*r)*e^2*log(x) + 440625*b*d^2*n*r^2*x^5*x^r*e*log(x) - 18000*b*d^3*n*r^3*x^5 + 24125*a*d^3*r^4*x^5 - 100*b*n*r^4*x^5*x^(3*r)*e^3 + 300*a*r^5*x^5*x^(3*r)*e^3 - 9000*b*d*n*r^3*x^5*x^(2*r)*e^2 + 21375*a*d*r^4*x^5*x^(2*r)*e^2 - 69375*b*d^2*n*r^2*x^5*x^r*e + 181875*a*d^2*r^3*x^5*x^r*e + 90000*b*d^3*r^3*x^5*log(c) + 5000*b*r^4*x^5*x^(3*r)*e^3*log(c) + 127500*b*d*r^3*x^5*x^(2*r)*e^2*log(c) + 440625*b*d^2*r^2*x^5*x^r*e*log(c) + 181250*b*d^3*n*r^2*x^5*log(x) + 31875*b*n*r^3*x^5*x^(3*r)*e^3*log(x) + 356250*b*d*n*r^2*x^5*x^(2*r)*e^2*log(x) + 515625*b*d^2*n*r*x^5*x^r*e*log(x) - 36250*b*d^3*n*r^2*x^5 + 90000*a*d^3*r^3*x^5 - 1500*b*n*r^3*x^5*x^(3*r)*e^3 + 5000*a*r^4*x^5*x^(3*r)*e^3 - 41250*b*d*n*r^2*x^5*x^(2*r)*e^2 + 127500*a*d*r^3*x^5*x^(2*r)*e^2 - 93750*b*d^2*n*r*x^5*x^r*e + 440625*a*d^2*r^2*x^5*x^r*e + 181250*b*d^3*r^2*x^5*log(c) + 31875*b*r^3*x^5*x^(3*r)*e^3*log(c) + 356250*b*d*r^2*x^5*x^(2*r)*e^2*log(c) + 515625*b*d^2*r*x^5*x^r*e*log(c) + 187500*b*d^3*n*r*x^5*log(x) + 96875*b*n*r^2*x^5*x^(3*r)*e^3*log(x) + 468750*b*d*n*r*x^5*x^(2*r)*e^2*log(x) + 234375*b*d^2*n*x^5*x^r*e*log(x) - 37500*b*d^3*n*r*x^5 + 181250*a*d^3*r^2*x^5 - 8125*b*n*r^2*x^5*x^(3*r)*e^3 + 31875*a*r^3*x^5*x^(3*r)*e^3 - 75000*b*d*n*r*x^5*x^(2*r)*e^2 + 356250*a*d*r^2*x^5*x^(2*r)*e^2 - 46875*b*d^2*n*x^5*x^r*e + 515625*a*d^2*r*x^5*x^r*e + 187500*b*d^3*r*x^5*log(c) + 96875*b*r^2*x^5*x^(3*r)*e^3*log(c) + 468750*b*d*r*x^5*x^(2*r)*e^2*log(c) + 234375*b*d^2*x^5*x^r*e*log(c) + 78125*b*d^3*n*x^5*log(x) + 140625*b*n*r*x^5*x^(3*r)*e^3*log(x) + 234375*b*d*n*x^5*x^(2*r)*e^2*log(x) - 15625*b*d^3*n*x^5 + 187500*a*d^3*r*x^5 - 18750*b*n*r*x^5*x^(3*r)*e^3 + 96875*a*r^2*x^5*x^(3*r)*e^3 - 46875*b*d*n*x^5*x^(2*r)*e^2 + 468750*a*d*r*x^5*x^(2*r)*e^2 + 234375*a*d^2*x^5*x^r*e + 78125*b*d^3*x^5*log(c) + 140625*b*r*x^5*x^(3*r)*e^3*log(c) + 234375*b*d*x^5*x^(2*r)*e^2*log(c) + 78125*b*n*x^5*x^(3*r)*e^3*log(x) + 78125*a*d^3*x^5 - 15625*b*n*x^5*x^(3*r)*e^3 + 140625*a*r*x^5*x^(3*r)*e^3 + 234375*a*d*x^5*x^(2*r)*e^2 + 78125*b*x^5*x^(3*r)*e^3*log(c) + 78125*a*x^5*x^(3*r)*e^3)/(36*r^6 + 660*r^5 + 4825*r^4 + 18000*r^3 + 36250*r^2 + 37500*r + 15625)","B",0
399,1,1588,0,0.458521," ","integrate(x^2*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{12 \, b d^{3} n r^{6} x^{3} \log\left(x\right) + 108 \, b d^{2} n r^{5} x^{3} x^{r} e \log\left(x\right) - 4 \, b d^{3} n r^{6} x^{3} + 12 \, b d^{3} r^{6} x^{3} \log\left(c\right) + 108 \, b d^{2} r^{5} x^{3} x^{r} e \log\left(c\right) + 132 \, b d^{3} n r^{5} x^{3} \log\left(x\right) + 54 \, b d n r^{5} x^{3} x^{2 \, r} e^{2} \log\left(x\right) + 864 \, b d^{2} n r^{4} x^{3} x^{r} e \log\left(x\right) - 44 \, b d^{3} n r^{5} x^{3} + 12 \, a d^{3} r^{6} x^{3} - 108 \, b d^{2} n r^{4} x^{3} x^{r} e + 108 \, a d^{2} r^{5} x^{3} x^{r} e + 132 \, b d^{3} r^{5} x^{3} \log\left(c\right) + 54 \, b d r^{5} x^{3} x^{2 \, r} e^{2} \log\left(c\right) + 864 \, b d^{2} r^{4} x^{3} x^{r} e \log\left(c\right) + 579 \, b d^{3} n r^{4} x^{3} \log\left(x\right) + 12 \, b n r^{5} x^{3} x^{3 \, r} e^{3} \log\left(x\right) + 513 \, b d n r^{4} x^{3} x^{2 \, r} e^{2} \log\left(x\right) + 2619 \, b d^{2} n r^{3} x^{3} x^{r} e \log\left(x\right) - 193 \, b d^{3} n r^{4} x^{3} + 132 \, a d^{3} r^{5} x^{3} - 27 \, b d n r^{4} x^{3} x^{2 \, r} e^{2} + 54 \, a d r^{5} x^{3} x^{2 \, r} e^{2} - 540 \, b d^{2} n r^{3} x^{3} x^{r} e + 864 \, a d^{2} r^{4} x^{3} x^{r} e + 579 \, b d^{3} r^{4} x^{3} \log\left(c\right) + 12 \, b r^{5} x^{3} x^{3 \, r} e^{3} \log\left(c\right) + 513 \, b d r^{4} x^{3} x^{2 \, r} e^{2} \log\left(c\right) + 2619 \, b d^{2} r^{3} x^{3} x^{r} e \log\left(c\right) + 1296 \, b d^{3} n r^{3} x^{3} \log\left(x\right) + 120 \, b n r^{4} x^{3} x^{3 \, r} e^{3} \log\left(x\right) + 1836 \, b d n r^{3} x^{3} x^{2 \, r} e^{2} \log\left(x\right) + 3807 \, b d^{2} n r^{2} x^{3} x^{r} e \log\left(x\right) - 432 \, b d^{3} n r^{3} x^{3} + 579 \, a d^{3} r^{4} x^{3} - 4 \, b n r^{4} x^{3} x^{3 \, r} e^{3} + 12 \, a r^{5} x^{3} x^{3 \, r} e^{3} - 216 \, b d n r^{3} x^{3} x^{2 \, r} e^{2} + 513 \, a d r^{4} x^{3} x^{2 \, r} e^{2} - 999 \, b d^{2} n r^{2} x^{3} x^{r} e + 2619 \, a d^{2} r^{3} x^{3} x^{r} e + 1296 \, b d^{3} r^{3} x^{3} \log\left(c\right) + 120 \, b r^{4} x^{3} x^{3 \, r} e^{3} \log\left(c\right) + 1836 \, b d r^{3} x^{3} x^{2 \, r} e^{2} \log\left(c\right) + 3807 \, b d^{2} r^{2} x^{3} x^{r} e \log\left(c\right) + 1566 \, b d^{3} n r^{2} x^{3} \log\left(x\right) + 459 \, b n r^{3} x^{3} x^{3 \, r} e^{3} \log\left(x\right) + 3078 \, b d n r^{2} x^{3} x^{2 \, r} e^{2} \log\left(x\right) + 2673 \, b d^{2} n r x^{3} x^{r} e \log\left(x\right) - 522 \, b d^{3} n r^{2} x^{3} + 1296 \, a d^{3} r^{3} x^{3} - 36 \, b n r^{3} x^{3} x^{3 \, r} e^{3} + 120 \, a r^{4} x^{3} x^{3 \, r} e^{3} - 594 \, b d n r^{2} x^{3} x^{2 \, r} e^{2} + 1836 \, a d r^{3} x^{3} x^{2 \, r} e^{2} - 810 \, b d^{2} n r x^{3} x^{r} e + 3807 \, a d^{2} r^{2} x^{3} x^{r} e + 1566 \, b d^{3} r^{2} x^{3} \log\left(c\right) + 459 \, b r^{3} x^{3} x^{3 \, r} e^{3} \log\left(c\right) + 3078 \, b d r^{2} x^{3} x^{2 \, r} e^{2} \log\left(c\right) + 2673 \, b d^{2} r x^{3} x^{r} e \log\left(c\right) + 972 \, b d^{3} n r x^{3} \log\left(x\right) + 837 \, b n r^{2} x^{3} x^{3 \, r} e^{3} \log\left(x\right) + 2430 \, b d n r x^{3} x^{2 \, r} e^{2} \log\left(x\right) + 729 \, b d^{2} n x^{3} x^{r} e \log\left(x\right) - 324 \, b d^{3} n r x^{3} + 1566 \, a d^{3} r^{2} x^{3} - 117 \, b n r^{2} x^{3} x^{3 \, r} e^{3} + 459 \, a r^{3} x^{3} x^{3 \, r} e^{3} - 648 \, b d n r x^{3} x^{2 \, r} e^{2} + 3078 \, a d r^{2} x^{3} x^{2 \, r} e^{2} - 243 \, b d^{2} n x^{3} x^{r} e + 2673 \, a d^{2} r x^{3} x^{r} e + 972 \, b d^{3} r x^{3} \log\left(c\right) + 837 \, b r^{2} x^{3} x^{3 \, r} e^{3} \log\left(c\right) + 2430 \, b d r x^{3} x^{2 \, r} e^{2} \log\left(c\right) + 729 \, b d^{2} x^{3} x^{r} e \log\left(c\right) + 243 \, b d^{3} n x^{3} \log\left(x\right) + 729 \, b n r x^{3} x^{3 \, r} e^{3} \log\left(x\right) + 729 \, b d n x^{3} x^{2 \, r} e^{2} \log\left(x\right) - 81 \, b d^{3} n x^{3} + 972 \, a d^{3} r x^{3} - 162 \, b n r x^{3} x^{3 \, r} e^{3} + 837 \, a r^{2} x^{3} x^{3 \, r} e^{3} - 243 \, b d n x^{3} x^{2 \, r} e^{2} + 2430 \, a d r x^{3} x^{2 \, r} e^{2} + 729 \, a d^{2} x^{3} x^{r} e + 243 \, b d^{3} x^{3} \log\left(c\right) + 729 \, b r x^{3} x^{3 \, r} e^{3} \log\left(c\right) + 729 \, b d x^{3} x^{2 \, r} e^{2} \log\left(c\right) + 243 \, b n x^{3} x^{3 \, r} e^{3} \log\left(x\right) + 243 \, a d^{3} x^{3} - 81 \, b n x^{3} x^{3 \, r} e^{3} + 729 \, a r x^{3} x^{3 \, r} e^{3} + 729 \, a d x^{3} x^{2 \, r} e^{2} + 243 \, b x^{3} x^{3 \, r} e^{3} \log\left(c\right) + 243 \, a x^{3} x^{3 \, r} e^{3}}{9 \, {\left(4 \, r^{6} + 44 \, r^{5} + 193 \, r^{4} + 432 \, r^{3} + 522 \, r^{2} + 324 \, r + 81\right)}}"," ",0,"1/9*(12*b*d^3*n*r^6*x^3*log(x) + 108*b*d^2*n*r^5*x^3*x^r*e*log(x) - 4*b*d^3*n*r^6*x^3 + 12*b*d^3*r^6*x^3*log(c) + 108*b*d^2*r^5*x^3*x^r*e*log(c) + 132*b*d^3*n*r^5*x^3*log(x) + 54*b*d*n*r^5*x^3*x^(2*r)*e^2*log(x) + 864*b*d^2*n*r^4*x^3*x^r*e*log(x) - 44*b*d^3*n*r^5*x^3 + 12*a*d^3*r^6*x^3 - 108*b*d^2*n*r^4*x^3*x^r*e + 108*a*d^2*r^5*x^3*x^r*e + 132*b*d^3*r^5*x^3*log(c) + 54*b*d*r^5*x^3*x^(2*r)*e^2*log(c) + 864*b*d^2*r^4*x^3*x^r*e*log(c) + 579*b*d^3*n*r^4*x^3*log(x) + 12*b*n*r^5*x^3*x^(3*r)*e^3*log(x) + 513*b*d*n*r^4*x^3*x^(2*r)*e^2*log(x) + 2619*b*d^2*n*r^3*x^3*x^r*e*log(x) - 193*b*d^3*n*r^4*x^3 + 132*a*d^3*r^5*x^3 - 27*b*d*n*r^4*x^3*x^(2*r)*e^2 + 54*a*d*r^5*x^3*x^(2*r)*e^2 - 540*b*d^2*n*r^3*x^3*x^r*e + 864*a*d^2*r^4*x^3*x^r*e + 579*b*d^3*r^4*x^3*log(c) + 12*b*r^5*x^3*x^(3*r)*e^3*log(c) + 513*b*d*r^4*x^3*x^(2*r)*e^2*log(c) + 2619*b*d^2*r^3*x^3*x^r*e*log(c) + 1296*b*d^3*n*r^3*x^3*log(x) + 120*b*n*r^4*x^3*x^(3*r)*e^3*log(x) + 1836*b*d*n*r^3*x^3*x^(2*r)*e^2*log(x) + 3807*b*d^2*n*r^2*x^3*x^r*e*log(x) - 432*b*d^3*n*r^3*x^3 + 579*a*d^3*r^4*x^3 - 4*b*n*r^4*x^3*x^(3*r)*e^3 + 12*a*r^5*x^3*x^(3*r)*e^3 - 216*b*d*n*r^3*x^3*x^(2*r)*e^2 + 513*a*d*r^4*x^3*x^(2*r)*e^2 - 999*b*d^2*n*r^2*x^3*x^r*e + 2619*a*d^2*r^3*x^3*x^r*e + 1296*b*d^3*r^3*x^3*log(c) + 120*b*r^4*x^3*x^(3*r)*e^3*log(c) + 1836*b*d*r^3*x^3*x^(2*r)*e^2*log(c) + 3807*b*d^2*r^2*x^3*x^r*e*log(c) + 1566*b*d^3*n*r^2*x^3*log(x) + 459*b*n*r^3*x^3*x^(3*r)*e^3*log(x) + 3078*b*d*n*r^2*x^3*x^(2*r)*e^2*log(x) + 2673*b*d^2*n*r*x^3*x^r*e*log(x) - 522*b*d^3*n*r^2*x^3 + 1296*a*d^3*r^3*x^3 - 36*b*n*r^3*x^3*x^(3*r)*e^3 + 120*a*r^4*x^3*x^(3*r)*e^3 - 594*b*d*n*r^2*x^3*x^(2*r)*e^2 + 1836*a*d*r^3*x^3*x^(2*r)*e^2 - 810*b*d^2*n*r*x^3*x^r*e + 3807*a*d^2*r^2*x^3*x^r*e + 1566*b*d^3*r^2*x^3*log(c) + 459*b*r^3*x^3*x^(3*r)*e^3*log(c) + 3078*b*d*r^2*x^3*x^(2*r)*e^2*log(c) + 2673*b*d^2*r*x^3*x^r*e*log(c) + 972*b*d^3*n*r*x^3*log(x) + 837*b*n*r^2*x^3*x^(3*r)*e^3*log(x) + 2430*b*d*n*r*x^3*x^(2*r)*e^2*log(x) + 729*b*d^2*n*x^3*x^r*e*log(x) - 324*b*d^3*n*r*x^3 + 1566*a*d^3*r^2*x^3 - 117*b*n*r^2*x^3*x^(3*r)*e^3 + 459*a*r^3*x^3*x^(3*r)*e^3 - 648*b*d*n*r*x^3*x^(2*r)*e^2 + 3078*a*d*r^2*x^3*x^(2*r)*e^2 - 243*b*d^2*n*x^3*x^r*e + 2673*a*d^2*r*x^3*x^r*e + 972*b*d^3*r*x^3*log(c) + 837*b*r^2*x^3*x^(3*r)*e^3*log(c) + 2430*b*d*r*x^3*x^(2*r)*e^2*log(c) + 729*b*d^2*x^3*x^r*e*log(c) + 243*b*d^3*n*x^3*log(x) + 729*b*n*r*x^3*x^(3*r)*e^3*log(x) + 729*b*d*n*x^3*x^(2*r)*e^2*log(x) - 81*b*d^3*n*x^3 + 972*a*d^3*r*x^3 - 162*b*n*r*x^3*x^(3*r)*e^3 + 837*a*r^2*x^3*x^(3*r)*e^3 - 243*b*d*n*x^3*x^(2*r)*e^2 + 2430*a*d*r*x^3*x^(2*r)*e^2 + 729*a*d^2*x^3*x^r*e + 243*b*d^3*x^3*log(c) + 729*b*r*x^3*x^(3*r)*e^3*log(c) + 729*b*d*x^3*x^(2*r)*e^2*log(c) + 243*b*n*x^3*x^(3*r)*e^3*log(x) + 243*a*d^3*x^3 - 81*b*n*x^3*x^(3*r)*e^3 + 729*a*r*x^3*x^(3*r)*e^3 + 729*a*d*x^3*x^(2*r)*e^2 + 243*b*x^3*x^(3*r)*e^3*log(c) + 243*a*x^3*x^(3*r)*e^3)/(4*r^6 + 44*r^5 + 193*r^4 + 432*r^3 + 522*r^2 + 324*r + 81)","B",0
400,1,374,0,0.328932," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{3 \, b d^{2} n r x x^{r} e \log\left(x\right)}{r^{2} + 2 \, r + 1} + b d^{3} n x \log\left(x\right) + \frac{6 \, b d n r x x^{2 \, r} e^{2} \log\left(x\right)}{4 \, r^{2} + 4 \, r + 1} + \frac{3 \, b d^{2} n x x^{r} e \log\left(x\right)}{r^{2} + 2 \, r + 1} - b d^{3} n x - \frac{3 \, b d^{2} n x x^{r} e}{r^{2} + 2 \, r + 1} + b d^{3} x \log\left(c\right) + \frac{3 \, b d^{2} x x^{r} e \log\left(c\right)}{r + 1} + \frac{3 \, b n r x x^{3 \, r} e^{3} \log\left(x\right)}{9 \, r^{2} + 6 \, r + 1} + \frac{3 \, b d n x x^{2 \, r} e^{2} \log\left(x\right)}{4 \, r^{2} + 4 \, r + 1} + a d^{3} x - \frac{3 \, b d n x x^{2 \, r} e^{2}}{4 \, r^{2} + 4 \, r + 1} + \frac{3 \, a d^{2} x x^{r} e}{r + 1} + \frac{3 \, b d x x^{2 \, r} e^{2} \log\left(c\right)}{2 \, r + 1} + \frac{b n x x^{3 \, r} e^{3} \log\left(x\right)}{9 \, r^{2} + 6 \, r + 1} - \frac{b n x x^{3 \, r} e^{3}}{9 \, r^{2} + 6 \, r + 1} + \frac{3 \, a d x x^{2 \, r} e^{2}}{2 \, r + 1} + \frac{b x x^{3 \, r} e^{3} \log\left(c\right)}{3 \, r + 1} + \frac{a x x^{3 \, r} e^{3}}{3 \, r + 1}"," ",0,"3*b*d^2*n*r*x*x^r*e*log(x)/(r^2 + 2*r + 1) + b*d^3*n*x*log(x) + 6*b*d*n*r*x*x^(2*r)*e^2*log(x)/(4*r^2 + 4*r + 1) + 3*b*d^2*n*x*x^r*e*log(x)/(r^2 + 2*r + 1) - b*d^3*n*x - 3*b*d^2*n*x*x^r*e/(r^2 + 2*r + 1) + b*d^3*x*log(c) + 3*b*d^2*x*x^r*e*log(c)/(r + 1) + 3*b*n*r*x*x^(3*r)*e^3*log(x)/(9*r^2 + 6*r + 1) + 3*b*d*n*x*x^(2*r)*e^2*log(x)/(4*r^2 + 4*r + 1) + a*d^3*x - 3*b*d*n*x*x^(2*r)*e^2/(4*r^2 + 4*r + 1) + 3*a*d^2*x*x^r*e/(r + 1) + 3*b*d*x*x^(2*r)*e^2*log(c)/(2*r + 1) + b*n*x*x^(3*r)*e^3*log(x)/(9*r^2 + 6*r + 1) - b*n*x*x^(3*r)*e^3/(9*r^2 + 6*r + 1) + 3*a*d*x*x^(2*r)*e^2/(2*r + 1) + b*x*x^(3*r)*e^3*log(c)/(3*r + 1) + a*x*x^(3*r)*e^3/(3*r + 1)","B",0
401,0,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{3} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{2}}\,{d x}"," ",0,"integrate((e*x^r + d)^3*(b*log(c*x^n) + a)/x^2, x)","F",0
402,0,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^4,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{3} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{4}}\,{d x}"," ",0,"integrate((e*x^r + d)^3*(b*log(c*x^n) + a)/x^4, x)","F",0
403,0,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^6,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{3} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{6}}\,{d x}"," ",0,"integrate((e*x^r + d)^3*(b*log(c*x^n) + a)/x^6, x)","F",0
404,0,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^8,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{3} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{8}}\,{d x}"," ",0,"integrate((e*x^r + d)^3*(b*log(c*x^n) + a)/x^8, x)","F",0
405,0,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^10,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{3} {\left(b \log\left(c x^{n}\right) + a\right)}}{x^{10}}\,{d x}"," ",0,"integrate((e*x^r + d)^3*(b*log(c*x^n) + a)/x^10, x)","F",0
406,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{e x^{r} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(e*x^r + d), x)","F",0
407,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x}{e x^{r} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x/(e*x^r + d), x)","F",0
408,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)*x), x)","F",0
409,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(d+e*x^r),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)*x^3), x)","F",0
410,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{e x^{r} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*x^r + d), x)","F",0
411,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{e x^{r} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(e*x^r + d), x)","F",0
412,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(d+e*x^r),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)*x^2), x)","F",0
413,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{{\left(e x^{r} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(e*x^r + d)^2, x)","F",0
414,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x}{{\left(e x^{r} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x/(e*x^r + d)^2, x)","F",0
415,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)}^{2} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)^2*x), x)","F",0
416,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(d+e*x^r)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)^2*x^3), x)","F",0
417,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{{\left(e x^{r} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*x^r + d)^2, x)","F",0
418,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(e*x^r + d)^2, x)","F",0
419,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(d+e*x^r)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)^2*x^2), x)","F",0
420,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(c-1/(x^n)),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(c - \frac{1}{x^{n}}\right)} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((c - 1/x^n)*x), x)","F",0
421,1,210,0,0.304832," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{1}{2} \, b d^{3} n \log\left(x\right)^{2} + \frac{3 \, b d^{2} n x^{r} e \log\left(x\right)}{r} + b d^{3} \log\left(c\right) \log\left(x\right) + \frac{3 \, b d^{2} x^{r} e \log\left(c\right)}{r} + a d^{3} \log\left(x\right) + \frac{3 \, b d n x^{2 \, r} e^{2} \log\left(x\right)}{2 \, r} - \frac{3 \, b d^{2} n x^{r} e}{r^{2}} + \frac{3 \, a d^{2} x^{r} e}{r} + \frac{3 \, b d x^{2 \, r} e^{2} \log\left(c\right)}{2 \, r} + \frac{b n x^{3 \, r} e^{3} \log\left(x\right)}{3 \, r} - \frac{3 \, b d n x^{2 \, r} e^{2}}{4 \, r^{2}} + \frac{3 \, a d x^{2 \, r} e^{2}}{2 \, r} + \frac{b x^{3 \, r} e^{3} \log\left(c\right)}{3 \, r} - \frac{b n x^{3 \, r} e^{3}}{9 \, r^{2}} + \frac{a x^{3 \, r} e^{3}}{3 \, r}"," ",0,"1/2*b*d^3*n*log(x)^2 + 3*b*d^2*n*x^r*e*log(x)/r + b*d^3*log(c)*log(x) + 3*b*d^2*x^r*e*log(c)/r + a*d^3*log(x) + 3/2*b*d*n*x^(2*r)*e^2*log(x)/r - 3*b*d^2*n*x^r*e/r^2 + 3*a*d^2*x^r*e/r + 3/2*b*d*x^(2*r)*e^2*log(c)/r + 1/3*b*n*x^(3*r)*e^3*log(x)/r - 3/4*b*d*n*x^(2*r)*e^2/r^2 + 3/2*a*d*x^(2*r)*e^2/r + 1/3*b*x^(3*r)*e^3*log(c)/r - 1/9*b*n*x^(3*r)*e^3/r^2 + 1/3*a*x^(3*r)*e^3/r","A",0
422,1,140,0,0.383476," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{1}{2} \, b d^{2} n \log\left(x\right)^{2} + \frac{2 \, b d n x^{r} e \log\left(x\right)}{r} + b d^{2} \log\left(c\right) \log\left(x\right) + \frac{2 \, b d x^{r} e \log\left(c\right)}{r} + a d^{2} \log\left(x\right) + \frac{b n x^{2 \, r} e^{2} \log\left(x\right)}{2 \, r} - \frac{2 \, b d n x^{r} e}{r^{2}} + \frac{2 \, a d x^{r} e}{r} + \frac{b x^{2 \, r} e^{2} \log\left(c\right)}{2 \, r} - \frac{b n x^{2 \, r} e^{2}}{4 \, r^{2}} + \frac{a x^{2 \, r} e^{2}}{2 \, r}"," ",0,"1/2*b*d^2*n*log(x)^2 + 2*b*d*n*x^r*e*log(x)/r + b*d^2*log(c)*log(x) + 2*b*d*x^r*e*log(c)/r + a*d^2*log(x) + 1/2*b*n*x^(2*r)*e^2*log(x)/r - 2*b*d*n*x^r*e/r^2 + 2*a*d*x^r*e/r + 1/2*b*x^(2*r)*e^2*log(c)/r - 1/4*b*n*x^(2*r)*e^2/r^2 + 1/2*a*x^(2*r)*e^2/r","A",0
423,1,69,0,0.368653," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{1}{2} \, b d n \log\left(x\right)^{2} + \frac{b n x^{r} e \log\left(x\right)}{r} + b d \log\left(c\right) \log\left(x\right) + \frac{b x^{r} e \log\left(c\right)}{r} + a d \log\left(x\right) - \frac{b n x^{r} e}{r^{2}} + \frac{a x^{r} e}{r}"," ",0,"1/2*b*d*n*log(x)^2 + b*n*x^r*e*log(x)/r + b*d*log(c)*log(x) + b*x^r*e*log(c)/r + a*d*log(x) - b*n*x^r*e/r^2 + a*x^r*e/r","A",0
424,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)*x), x)","F",0
425,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^2,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)}^{2} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)^2*x), x)","F",0
426,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^3,x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)}^{3} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)^3*x), x)","F",0
427,1,634,0,0.468445," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))^2/x,x, algorithm=""giac"")","\frac{1}{3} \, b^{2} d^{3} n^{2} \log\left(x\right)^{3} + \frac{3 \, b^{2} d^{2} n^{2} x^{r} e \log\left(x\right)^{2}}{r} + b^{2} d^{3} n \log\left(c\right) \log\left(x\right)^{2} + \frac{6 \, b^{2} d^{2} n x^{r} e \log\left(c\right) \log\left(x\right)}{r} + b^{2} d^{3} \log\left(c\right)^{2} \log\left(x\right) + a b d^{3} n \log\left(x\right)^{2} + \frac{3 \, b^{2} d n^{2} x^{2 \, r} e^{2} \log\left(x\right)^{2}}{2 \, r} + \frac{3 \, b^{2} d^{2} x^{r} e \log\left(c\right)^{2}}{r} - \frac{6 \, b^{2} d^{2} n^{2} x^{r} e \log\left(x\right)}{r^{2}} + \frac{6 \, a b d^{2} n x^{r} e \log\left(x\right)}{r} + 2 \, a b d^{3} \log\left(c\right) \log\left(x\right) + \frac{3 \, b^{2} d n x^{2 \, r} e^{2} \log\left(c\right) \log\left(x\right)}{r} + \frac{b^{2} n^{2} x^{3 \, r} e^{3} \log\left(x\right)^{2}}{3 \, r} - \frac{6 \, b^{2} d^{2} n x^{r} e \log\left(c\right)}{r^{2}} + \frac{6 \, a b d^{2} x^{r} e \log\left(c\right)}{r} + \frac{3 \, b^{2} d x^{2 \, r} e^{2} \log\left(c\right)^{2}}{2 \, r} + a^{2} d^{3} \log\left(x\right) - \frac{3 \, b^{2} d n^{2} x^{2 \, r} e^{2} \log\left(x\right)}{2 \, r^{2}} + \frac{3 \, a b d n x^{2 \, r} e^{2} \log\left(x\right)}{r} + \frac{2 \, b^{2} n x^{3 \, r} e^{3} \log\left(c\right) \log\left(x\right)}{3 \, r} + \frac{6 \, b^{2} d^{2} n^{2} x^{r} e}{r^{3}} - \frac{6 \, a b d^{2} n x^{r} e}{r^{2}} + \frac{3 \, a^{2} d^{2} x^{r} e}{r} - \frac{3 \, b^{2} d n x^{2 \, r} e^{2} \log\left(c\right)}{2 \, r^{2}} + \frac{3 \, a b d x^{2 \, r} e^{2} \log\left(c\right)}{r} + \frac{b^{2} x^{3 \, r} e^{3} \log\left(c\right)^{2}}{3 \, r} - \frac{2 \, b^{2} n^{2} x^{3 \, r} e^{3} \log\left(x\right)}{9 \, r^{2}} + \frac{2 \, a b n x^{3 \, r} e^{3} \log\left(x\right)}{3 \, r} + \frac{3 \, b^{2} d n^{2} x^{2 \, r} e^{2}}{4 \, r^{3}} - \frac{3 \, a b d n x^{2 \, r} e^{2}}{2 \, r^{2}} + \frac{3 \, a^{2} d x^{2 \, r} e^{2}}{2 \, r} - \frac{2 \, b^{2} n x^{3 \, r} e^{3} \log\left(c\right)}{9 \, r^{2}} + \frac{2 \, a b x^{3 \, r} e^{3} \log\left(c\right)}{3 \, r} + \frac{2 \, b^{2} n^{2} x^{3 \, r} e^{3}}{27 \, r^{3}} - \frac{2 \, a b n x^{3 \, r} e^{3}}{9 \, r^{2}} + \frac{a^{2} x^{3 \, r} e^{3}}{3 \, r}"," ",0,"1/3*b^2*d^3*n^2*log(x)^3 + 3*b^2*d^2*n^2*x^r*e*log(x)^2/r + b^2*d^3*n*log(c)*log(x)^2 + 6*b^2*d^2*n*x^r*e*log(c)*log(x)/r + b^2*d^3*log(c)^2*log(x) + a*b*d^3*n*log(x)^2 + 3/2*b^2*d*n^2*x^(2*r)*e^2*log(x)^2/r + 3*b^2*d^2*x^r*e*log(c)^2/r - 6*b^2*d^2*n^2*x^r*e*log(x)/r^2 + 6*a*b*d^2*n*x^r*e*log(x)/r + 2*a*b*d^3*log(c)*log(x) + 3*b^2*d*n*x^(2*r)*e^2*log(c)*log(x)/r + 1/3*b^2*n^2*x^(3*r)*e^3*log(x)^2/r - 6*b^2*d^2*n*x^r*e*log(c)/r^2 + 6*a*b*d^2*x^r*e*log(c)/r + 3/2*b^2*d*x^(2*r)*e^2*log(c)^2/r + a^2*d^3*log(x) - 3/2*b^2*d*n^2*x^(2*r)*e^2*log(x)/r^2 + 3*a*b*d*n*x^(2*r)*e^2*log(x)/r + 2/3*b^2*n*x^(3*r)*e^3*log(c)*log(x)/r + 6*b^2*d^2*n^2*x^r*e/r^3 - 6*a*b*d^2*n*x^r*e/r^2 + 3*a^2*d^2*x^r*e/r - 3/2*b^2*d*n*x^(2*r)*e^2*log(c)/r^2 + 3*a*b*d*x^(2*r)*e^2*log(c)/r + 1/3*b^2*x^(3*r)*e^3*log(c)^2/r - 2/9*b^2*n^2*x^(3*r)*e^3*log(x)/r^2 + 2/3*a*b*n*x^(3*r)*e^3*log(x)/r + 3/4*b^2*d*n^2*x^(2*r)*e^2/r^3 - 3/2*a*b*d*n*x^(2*r)*e^2/r^2 + 3/2*a^2*d*x^(2*r)*e^2/r - 2/9*b^2*n*x^(3*r)*e^3*log(c)/r^2 + 2/3*a*b*x^(3*r)*e^3*log(c)/r + 2/27*b^2*n^2*x^(3*r)*e^3/r^3 - 2/9*a*b*n*x^(3*r)*e^3/r^2 + 1/3*a^2*x^(3*r)*e^3/r","B",0
428,1,421,0,0.319945," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))^2/x,x, algorithm=""giac"")","\frac{1}{3} \, b^{2} d^{2} n^{2} \log\left(x\right)^{3} + \frac{2 \, b^{2} d n^{2} x^{r} e \log\left(x\right)^{2}}{r} + b^{2} d^{2} n \log\left(c\right) \log\left(x\right)^{2} + \frac{4 \, b^{2} d n x^{r} e \log\left(c\right) \log\left(x\right)}{r} + b^{2} d^{2} \log\left(c\right)^{2} \log\left(x\right) + a b d^{2} n \log\left(x\right)^{2} + \frac{b^{2} n^{2} x^{2 \, r} e^{2} \log\left(x\right)^{2}}{2 \, r} + \frac{2 \, b^{2} d x^{r} e \log\left(c\right)^{2}}{r} - \frac{4 \, b^{2} d n^{2} x^{r} e \log\left(x\right)}{r^{2}} + \frac{4 \, a b d n x^{r} e \log\left(x\right)}{r} + 2 \, a b d^{2} \log\left(c\right) \log\left(x\right) + \frac{b^{2} n x^{2 \, r} e^{2} \log\left(c\right) \log\left(x\right)}{r} - \frac{4 \, b^{2} d n x^{r} e \log\left(c\right)}{r^{2}} + \frac{4 \, a b d x^{r} e \log\left(c\right)}{r} + \frac{b^{2} x^{2 \, r} e^{2} \log\left(c\right)^{2}}{2 \, r} + a^{2} d^{2} \log\left(x\right) - \frac{b^{2} n^{2} x^{2 \, r} e^{2} \log\left(x\right)}{2 \, r^{2}} + \frac{a b n x^{2 \, r} e^{2} \log\left(x\right)}{r} + \frac{4 \, b^{2} d n^{2} x^{r} e}{r^{3}} - \frac{4 \, a b d n x^{r} e}{r^{2}} + \frac{2 \, a^{2} d x^{r} e}{r} - \frac{b^{2} n x^{2 \, r} e^{2} \log\left(c\right)}{2 \, r^{2}} + \frac{a b x^{2 \, r} e^{2} \log\left(c\right)}{r} + \frac{b^{2} n^{2} x^{2 \, r} e^{2}}{4 \, r^{3}} - \frac{a b n x^{2 \, r} e^{2}}{2 \, r^{2}} + \frac{a^{2} x^{2 \, r} e^{2}}{2 \, r}"," ",0,"1/3*b^2*d^2*n^2*log(x)^3 + 2*b^2*d*n^2*x^r*e*log(x)^2/r + b^2*d^2*n*log(c)*log(x)^2 + 4*b^2*d*n*x^r*e*log(c)*log(x)/r + b^2*d^2*log(c)^2*log(x) + a*b*d^2*n*log(x)^2 + 1/2*b^2*n^2*x^(2*r)*e^2*log(x)^2/r + 2*b^2*d*x^r*e*log(c)^2/r - 4*b^2*d*n^2*x^r*e*log(x)/r^2 + 4*a*b*d*n*x^r*e*log(x)/r + 2*a*b*d^2*log(c)*log(x) + b^2*n*x^(2*r)*e^2*log(c)*log(x)/r - 4*b^2*d*n*x^r*e*log(c)/r^2 + 4*a*b*d*x^r*e*log(c)/r + 1/2*b^2*x^(2*r)*e^2*log(c)^2/r + a^2*d^2*log(x) - 1/2*b^2*n^2*x^(2*r)*e^2*log(x)/r^2 + a*b*n*x^(2*r)*e^2*log(x)/r + 4*b^2*d*n^2*x^r*e/r^3 - 4*a*b*d*n*x^r*e/r^2 + 2*a^2*d*x^r*e/r - 1/2*b^2*n*x^(2*r)*e^2*log(c)/r^2 + a*b*x^(2*r)*e^2*log(c)/r + 1/4*b^2*n^2*x^(2*r)*e^2/r^3 - 1/2*a*b*n*x^(2*r)*e^2/r^2 + 1/2*a^2*x^(2*r)*e^2/r","B",0
429,1,219,0,0.318158," ","integrate((d+e*x^r)*(a+b*log(c*x^n))^2/x,x, algorithm=""giac"")","\frac{1}{3} \, b^{2} d n^{2} \log\left(x\right)^{3} + \frac{b^{2} n^{2} x^{r} e \log\left(x\right)^{2}}{r} + b^{2} d n \log\left(c\right) \log\left(x\right)^{2} + \frac{2 \, b^{2} n x^{r} e \log\left(c\right) \log\left(x\right)}{r} + b^{2} d \log\left(c\right)^{2} \log\left(x\right) + a b d n \log\left(x\right)^{2} + \frac{b^{2} x^{r} e \log\left(c\right)^{2}}{r} - \frac{2 \, b^{2} n^{2} x^{r} e \log\left(x\right)}{r^{2}} + \frac{2 \, a b n x^{r} e \log\left(x\right)}{r} + 2 \, a b d \log\left(c\right) \log\left(x\right) - \frac{2 \, b^{2} n x^{r} e \log\left(c\right)}{r^{2}} + \frac{2 \, a b x^{r} e \log\left(c\right)}{r} + a^{2} d \log\left(x\right) + \frac{2 \, b^{2} n^{2} x^{r} e}{r^{3}} - \frac{2 \, a b n x^{r} e}{r^{2}} + \frac{a^{2} x^{r} e}{r}"," ",0,"1/3*b^2*d*n^2*log(x)^3 + b^2*n^2*x^r*e*log(x)^2/r + b^2*d*n*log(c)*log(x)^2 + 2*b^2*n*x^r*e*log(c)*log(x)/r + b^2*d*log(c)^2*log(x) + a*b*d*n*log(x)^2 + b^2*x^r*e*log(c)^2/r - 2*b^2*n^2*x^r*e*log(x)/r^2 + 2*a*b*n*x^r*e*log(x)/r + 2*a*b*d*log(c)*log(x) - 2*b^2*n*x^r*e*log(c)/r^2 + 2*a*b*x^r*e*log(c)/r + a^2*d*log(x) + 2*b^2*n^2*x^r*e/r^3 - 2*a*b*n*x^r*e/r^2 + a^2*x^r*e/r","B",0
430,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(d+e*x^r),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x^{r} + d\right)} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x^r + d)*x), x)","F",0
431,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(d+e*x^r)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x^{r} + d\right)}^{2} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x^r + d)^2*x), x)","F",0
432,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(d+e*x^r)^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x^{r} + d\right)}^{3} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2/((e*x^r + d)^3*x), x)","F",0
433,0,0,0,0.000000," ","integrate((d+e*x^r)^(5/2)*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{\frac{5}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate((e*x^r + d)^(5/2)*(b*log(c*x^n) + a)/x, x)","F",0
434,0,0,0,0.000000," ","integrate((d+e*x^r)^(3/2)*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\int \frac{{\left(e x^{r} + d\right)}^{\frac{3}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate((e*x^r + d)^(3/2)*(b*log(c*x^n) + a)/x, x)","F",0
435,0,0,0,0.000000," ","integrate((d+e*x^r)^(1/2)*(a+b*log(c*x^n))/x,x, algorithm=""giac"")","\int \frac{\sqrt{e x^{r} + d} {\left(b \log\left(c x^{n}\right) + a\right)}}{x}\,{d x}"," ",0,"integrate(sqrt(e*x^r + d)*(b*log(c*x^n) + a)/x, x)","F",0
436,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^(1/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{\sqrt{e x^{r} + d} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(sqrt(e*x^r + d)*x), x)","F",0
437,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^(3/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)^(3/2)*x), x)","F",0
438,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^(5/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)}^{\frac{5}{2}} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)^(5/2)*x), x)","F",0
439,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^(7/2),x, algorithm=""giac"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)}^{\frac{7}{2}} x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)^(7/2)*x), x)","F",0
440,1,766,0,0.788295," ","integrate((f*x)^m*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{3 \, b d^{2} f^{m} m n x x^{m} x^{r} e \log\left(x\right)}{m^{2} + 2 \, m r + r^{2} + 2 \, m + 2 \, r + 1} + \frac{3 \, b d^{2} f^{m} n r x x^{m} x^{r} e \log\left(x\right)}{m^{2} + 2 \, m r + r^{2} + 2 \, m + 2 \, r + 1} + \frac{b d^{3} f^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{3 \, b d f^{m} m n x x^{m} x^{2 \, r} e^{2} \log\left(x\right)}{m^{2} + 4 \, m r + 4 \, r^{2} + 2 \, m + 4 \, r + 1} + \frac{6 \, b d f^{m} n r x x^{m} x^{2 \, r} e^{2} \log\left(x\right)}{m^{2} + 4 \, m r + 4 \, r^{2} + 2 \, m + 4 \, r + 1} + \frac{3 \, b d^{2} f^{m} n x x^{m} x^{r} e \log\left(x\right)}{m^{2} + 2 \, m r + r^{2} + 2 \, m + 2 \, r + 1} - \frac{3 \, b d^{2} f^{m} n x x^{m} x^{r} e}{m^{2} + 2 \, m r + r^{2} + 2 \, m + 2 \, r + 1} + \frac{3 \, b d^{2} f^{m} x x^{m} x^{r} e \log\left(c\right)}{m + r + 1} + \frac{b d^{3} f^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{b f^{m} m n x x^{m} x^{3 \, r} e^{3} \log\left(x\right)}{m^{2} + 6 \, m r + 9 \, r^{2} + 2 \, m + 6 \, r + 1} + \frac{3 \, b f^{m} n r x x^{m} x^{3 \, r} e^{3} \log\left(x\right)}{m^{2} + 6 \, m r + 9 \, r^{2} + 2 \, m + 6 \, r + 1} + \frac{3 \, b d f^{m} n x x^{m} x^{2 \, r} e^{2} \log\left(x\right)}{m^{2} + 4 \, m r + 4 \, r^{2} + 2 \, m + 4 \, r + 1} - \frac{b d^{3} f^{m} n x x^{m}}{m^{2} + 2 \, m + 1} - \frac{3 \, b d f^{m} n x x^{m} x^{2 \, r} e^{2}}{m^{2} + 4 \, m r + 4 \, r^{2} + 2 \, m + 4 \, r + 1} + \frac{3 \, a d^{2} f^{m} x x^{m} x^{r} e}{m + r + 1} + \frac{3 \, b d f^{m} x x^{m} x^{2 \, r} e^{2} \log\left(c\right)}{m + 2 \, r + 1} + \frac{b f^{m} n x x^{m} x^{3 \, r} e^{3} \log\left(x\right)}{m^{2} + 6 \, m r + 9 \, r^{2} + 2 \, m + 6 \, r + 1} - \frac{b f^{m} n x x^{m} x^{3 \, r} e^{3}}{m^{2} + 6 \, m r + 9 \, r^{2} + 2 \, m + 6 \, r + 1} + \frac{3 \, a d f^{m} x x^{m} x^{2 \, r} e^{2}}{m + 2 \, r + 1} + \frac{\left(f x\right)^{m} b d^{3} x \log\left(c\right)}{m + 1} + \frac{b f^{m} x x^{m} x^{3 \, r} e^{3} \log\left(c\right)}{m + 3 \, r + 1} + \frac{\left(f x\right)^{m} a d^{3} x}{m + 1} + \frac{a f^{m} x x^{m} x^{3 \, r} e^{3}}{m + 3 \, r + 1}"," ",0,"3*b*d^2*f^m*m*n*x*x^m*x^r*e*log(x)/(m^2 + 2*m*r + r^2 + 2*m + 2*r + 1) + 3*b*d^2*f^m*n*r*x*x^m*x^r*e*log(x)/(m^2 + 2*m*r + r^2 + 2*m + 2*r + 1) + b*d^3*f^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + 3*b*d*f^m*m*n*x*x^m*x^(2*r)*e^2*log(x)/(m^2 + 4*m*r + 4*r^2 + 2*m + 4*r + 1) + 6*b*d*f^m*n*r*x*x^m*x^(2*r)*e^2*log(x)/(m^2 + 4*m*r + 4*r^2 + 2*m + 4*r + 1) + 3*b*d^2*f^m*n*x*x^m*x^r*e*log(x)/(m^2 + 2*m*r + r^2 + 2*m + 2*r + 1) - 3*b*d^2*f^m*n*x*x^m*x^r*e/(m^2 + 2*m*r + r^2 + 2*m + 2*r + 1) + 3*b*d^2*f^m*x*x^m*x^r*e*log(c)/(m + r + 1) + b*d^3*f^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + b*f^m*m*n*x*x^m*x^(3*r)*e^3*log(x)/(m^2 + 6*m*r + 9*r^2 + 2*m + 6*r + 1) + 3*b*f^m*n*r*x*x^m*x^(3*r)*e^3*log(x)/(m^2 + 6*m*r + 9*r^2 + 2*m + 6*r + 1) + 3*b*d*f^m*n*x*x^m*x^(2*r)*e^2*log(x)/(m^2 + 4*m*r + 4*r^2 + 2*m + 4*r + 1) - b*d^3*f^m*n*x*x^m/(m^2 + 2*m + 1) - 3*b*d*f^m*n*x*x^m*x^(2*r)*e^2/(m^2 + 4*m*r + 4*r^2 + 2*m + 4*r + 1) + 3*a*d^2*f^m*x*x^m*x^r*e/(m + r + 1) + 3*b*d*f^m*x*x^m*x^(2*r)*e^2*log(c)/(m + 2*r + 1) + b*f^m*n*x*x^m*x^(3*r)*e^3*log(x)/(m^2 + 6*m*r + 9*r^2 + 2*m + 6*r + 1) - b*f^m*n*x*x^m*x^(3*r)*e^3/(m^2 + 6*m*r + 9*r^2 + 2*m + 6*r + 1) + 3*a*d*f^m*x*x^m*x^(2*r)*e^2/(m + 2*r + 1) + (f*x)^m*b*d^3*x*log(c)/(m + 1) + b*f^m*x*x^m*x^(3*r)*e^3*log(c)/(m + 3*r + 1) + (f*x)^m*a*d^3*x/(m + 1) + a*f^m*x*x^m*x^(3*r)*e^3/(m + 3*r + 1)","B",0
441,1,528,0,0.548290," ","integrate((f*x)^m*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{2 \, b d f^{m} m n x x^{m} x^{r} e \log\left(x\right)}{m^{2} + 2 \, m r + r^{2} + 2 \, m + 2 \, r + 1} + \frac{2 \, b d f^{m} n r x x^{m} x^{r} e \log\left(x\right)}{m^{2} + 2 \, m r + r^{2} + 2 \, m + 2 \, r + 1} + \frac{b d^{2} f^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{b f^{m} m n x x^{m} x^{2 \, r} e^{2} \log\left(x\right)}{m^{2} + 4 \, m r + 4 \, r^{2} + 2 \, m + 4 \, r + 1} + \frac{2 \, b f^{m} n r x x^{m} x^{2 \, r} e^{2} \log\left(x\right)}{m^{2} + 4 \, m r + 4 \, r^{2} + 2 \, m + 4 \, r + 1} + \frac{2 \, b d f^{m} n x x^{m} x^{r} e \log\left(x\right)}{m^{2} + 2 \, m r + r^{2} + 2 \, m + 2 \, r + 1} - \frac{2 \, b d f^{m} n x x^{m} x^{r} e}{m^{2} + 2 \, m r + r^{2} + 2 \, m + 2 \, r + 1} + \frac{2 \, b d f^{m} x x^{m} x^{r} e \log\left(c\right)}{m + r + 1} + \frac{b d^{2} f^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{b f^{m} n x x^{m} x^{2 \, r} e^{2} \log\left(x\right)}{m^{2} + 4 \, m r + 4 \, r^{2} + 2 \, m + 4 \, r + 1} - \frac{b d^{2} f^{m} n x x^{m}}{m^{2} + 2 \, m + 1} - \frac{b f^{m} n x x^{m} x^{2 \, r} e^{2}}{m^{2} + 4 \, m r + 4 \, r^{2} + 2 \, m + 4 \, r + 1} + \frac{2 \, a d f^{m} x x^{m} x^{r} e}{m + r + 1} + \frac{b f^{m} x x^{m} x^{2 \, r} e^{2} \log\left(c\right)}{m + 2 \, r + 1} + \frac{a f^{m} x x^{m} x^{2 \, r} e^{2}}{m + 2 \, r + 1} + \frac{\left(f x\right)^{m} b d^{2} x \log\left(c\right)}{m + 1} + \frac{\left(f x\right)^{m} a d^{2} x}{m + 1}"," ",0,"2*b*d*f^m*m*n*x*x^m*x^r*e*log(x)/(m^2 + 2*m*r + r^2 + 2*m + 2*r + 1) + 2*b*d*f^m*n*r*x*x^m*x^r*e*log(x)/(m^2 + 2*m*r + r^2 + 2*m + 2*r + 1) + b*d^2*f^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + b*f^m*m*n*x*x^m*x^(2*r)*e^2*log(x)/(m^2 + 4*m*r + 4*r^2 + 2*m + 4*r + 1) + 2*b*f^m*n*r*x*x^m*x^(2*r)*e^2*log(x)/(m^2 + 4*m*r + 4*r^2 + 2*m + 4*r + 1) + 2*b*d*f^m*n*x*x^m*x^r*e*log(x)/(m^2 + 2*m*r + r^2 + 2*m + 2*r + 1) - 2*b*d*f^m*n*x*x^m*x^r*e/(m^2 + 2*m*r + r^2 + 2*m + 2*r + 1) + 2*b*d*f^m*x*x^m*x^r*e*log(c)/(m + r + 1) + b*d^2*f^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + b*f^m*n*x*x^m*x^(2*r)*e^2*log(x)/(m^2 + 4*m*r + 4*r^2 + 2*m + 4*r + 1) - b*d^2*f^m*n*x*x^m/(m^2 + 2*m + 1) - b*f^m*n*x*x^m*x^(2*r)*e^2/(m^2 + 4*m*r + 4*r^2 + 2*m + 4*r + 1) + 2*a*d*f^m*x*x^m*x^r*e/(m + r + 1) + b*f^m*x*x^m*x^(2*r)*e^2*log(c)/(m + 2*r + 1) + a*f^m*x*x^m*x^(2*r)*e^2/(m + 2*r + 1) + (f*x)^m*b*d^2*x*log(c)/(m + 1) + (f*x)^m*a*d^2*x/(m + 1)","B",0
442,1,291,0,0.517137," ","integrate((f*x)^m*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b f^{m} m n x x^{m} x^{r} e \log\left(x\right)}{m^{2} + 2 \, m r + r^{2} + 2 \, m + 2 \, r + 1} + \frac{b f^{m} n r x x^{m} x^{r} e \log\left(x\right)}{m^{2} + 2 \, m r + r^{2} + 2 \, m + 2 \, r + 1} + \frac{b d f^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{b f^{m} n x x^{m} x^{r} e \log\left(x\right)}{m^{2} + 2 \, m r + r^{2} + 2 \, m + 2 \, r + 1} - \frac{b f^{m} n x x^{m} x^{r} e}{m^{2} + 2 \, m r + r^{2} + 2 \, m + 2 \, r + 1} + \frac{b f^{m} x x^{m} x^{r} e \log\left(c\right)}{m + r + 1} + \frac{b d f^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{b d f^{m} n x x^{m}}{m^{2} + 2 \, m + 1} + \frac{a f^{m} x x^{m} x^{r} e}{m + r + 1} + \frac{\left(f x\right)^{m} b d x \log\left(c\right)}{m + 1} + \frac{\left(f x\right)^{m} a d x}{m + 1}"," ",0,"b*f^m*m*n*x*x^m*x^r*e*log(x)/(m^2 + 2*m*r + r^2 + 2*m + 2*r + 1) + b*f^m*n*r*x*x^m*x^r*e*log(x)/(m^2 + 2*m*r + r^2 + 2*m + 2*r + 1) + b*d*f^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + b*f^m*n*x*x^m*x^r*e*log(x)/(m^2 + 2*m*r + r^2 + 2*m + 2*r + 1) - b*f^m*n*x*x^m*x^r*e/(m^2 + 2*m*r + r^2 + 2*m + 2*r + 1) + b*f^m*x*x^m*x^r*e*log(c)/(m + r + 1) + b*d*f^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - b*d*f^m*n*x*x^m/(m^2 + 2*m + 1) + a*f^m*x*x^m*x^r*e/(m + r + 1) + (f*x)^m*b*d*x*log(c)/(m + 1) + (f*x)^m*a*d*x/(m + 1)","B",0
443,1,95,0,0.295857," ","integrate((f*x)^m*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b f^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{b f^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{b f^{m} n x x^{m}}{m^{2} + 2 \, m + 1} + \frac{\left(f x\right)^{m} b x \log\left(c\right)}{m + 1} + \frac{\left(f x\right)^{m} a x}{m + 1}"," ",0,"b*f^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + b*f^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - b*f^m*n*x*x^m/(m^2 + 2*m + 1) + (f*x)^m*b*x*log(c)/(m + 1) + (f*x)^m*a*x/(m + 1)","B",0
444,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \left(f x\right)^{m}}{e x^{r} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(f*x)^m/(e*x^r + d), x)","F",0
445,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \left(f x\right)^{m}}{{\left(e x^{r} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(f*x)^m/(e*x^r + d)^2, x)","F",0
446,0,0,0,0.000000," ","integrate((d+e/(x^(1/(1+q))))^q*(a+b*log(c*x^n)),x, algorithm=""giac"")","\int {\left(b \log\left(c x^{n}\right) + a\right)} {\left(d + \frac{e}{x^{\left(\frac{1}{q + 1}\right)}}\right)}^{q}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(d + e/x^(1/(q + 1)))^q, x)","F",0
447,0,0,0,0.000000," ","integrate((f*x)^(-1-(1+q)*r)*(d+e*x^r)^q*(a+b*log(c*x^n)),x, algorithm=""giac"")","\int {\left(b \log\left(c x^{n}\right) + a\right)} {\left(e x^{r} + d\right)}^{q} \left(f x\right)^{-{\left(q + 1\right)} r - 1}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(e*x^r + d)^q*(f*x)^(-(q + 1)*r - 1), x)","F",0
448,0,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^r)^3*(a+b*log(c*x^n))^p,x, algorithm=""giac"")","\int {\left(e x^{r} + d\right)}^{3} \left(f x\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x^r + d)^3*(f*x)^m*(b*log(c*x^n) + a)^p, x)","F",0
449,0,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^r)^2*(a+b*log(c*x^n))^p,x, algorithm=""giac"")","\int {\left(e x^{r} + d\right)}^{2} \left(f x\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x^r + d)^2*(f*x)^m*(b*log(c*x^n) + a)^p, x)","F",0
450,0,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^r)*(a+b*log(c*x^n))^p,x, algorithm=""giac"")","\int {\left(e x^{r} + d\right)} \left(f x\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((e*x^r + d)*(f*x)^m*(b*log(c*x^n) + a)^p, x)","F",0
451,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))^p,x, algorithm=""giac"")","\int \left(f x\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((f*x)^m*(b*log(c*x^n) + a)^p, x)","F",0
452,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))^p/(d+e*x^r),x, algorithm=""giac"")","\int \frac{\left(f x\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}}{e x^{r} + d}\,{d x}"," ",0,"integrate((f*x)^m*(b*log(c*x^n) + a)^p/(e*x^r + d), x)","F",0
453,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))^p/(d+e*x^r)^2,x, algorithm=""giac"")","\int \frac{\left(f x\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}}{{\left(e x^{r} + d\right)}^{2}}\,{d x}"," ",0,"integrate((f*x)^m*(b*log(c*x^n) + a)^p/(e*x^r + d)^2, x)","F",0
454,1,252,0,0.359222," ","integrate((g*x+f)*(a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""giac"")","-\frac{b d g n x^{2} e^{2} \log\left(x e + d\right) + 2 \, b d^{2} g n x e \log\left(x e + d\right) - b d g n x^{2} e^{2} \log\left(x\right) + b d^{2} g n x e + b d^{3} g n \log\left(x e + d\right) + b f n x^{2} e^{3} \log\left(x e + d\right) + 2 \, b d f n x e^{2} \log\left(x e + d\right) + b d^{2} f n e \log\left(x e + d\right) + 2 \, b d^{2} g x e \log\left(c\right) - b f n x^{2} e^{3} \log\left(x\right) - 2 \, b d f n x e^{2} \log\left(x\right) + b d^{3} g n - b d f n x e^{2} - b d^{2} f n e + 2 \, a d^{2} g x e + b d^{3} g \log\left(c\right) + b d^{2} f e \log\left(c\right) + a d^{3} g + a d^{2} f e}{2 \, {\left(d^{2} x^{2} e^{4} + 2 \, d^{3} x e^{3} + d^{4} e^{2}\right)}}"," ",0,"-1/2*(b*d*g*n*x^2*e^2*log(x*e + d) + 2*b*d^2*g*n*x*e*log(x*e + d) - b*d*g*n*x^2*e^2*log(x) + b*d^2*g*n*x*e + b*d^3*g*n*log(x*e + d) + b*f*n*x^2*e^3*log(x*e + d) + 2*b*d*f*n*x*e^2*log(x*e + d) + b*d^2*f*n*e*log(x*e + d) + 2*b*d^2*g*x*e*log(c) - b*f*n*x^2*e^3*log(x) - 2*b*d*f*n*x*e^2*log(x) + b*d^3*g*n - b*d*f*n*x*e^2 - b*d^2*f*n*e + 2*a*d^2*g*x*e + b*d^3*g*log(c) + b*d^2*f*e*log(c) + a*d^3*g + a*d^2*f*e)/(d^2*x^2*e^4 + 2*d^3*x*e^3 + d^4*e^2)","B",0
455,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)} {\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((g*x + f)*(b*log(c*x^n) + a)^2/(e*x + d)^3, x)","F",0
456,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*x^n))^3/(e*x+d)^3,x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)} {\left(b \log\left(c x^{n}\right) + a\right)}^{3}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate((g*x + f)*(b*log(c*x^n) + a)^3/(e*x + d)^3, x)","F",0
