1,0,0,0,0.790930," ","integrate((a+b*log(c*x^n))/(f*x^2+e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{f x^{2} + e x + d}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(f*x^2 + e*x + d), x)","F",0
2,0,0,0,0.625762," ","integrate(x^3*(a+b*log(c*x^n))*log(e*x+1),x, algorithm=""fricas"")","{\rm integral}\left(b x^{3} \log\left(c x^{n}\right) \log\left(e x + 1\right) + a x^{3} \log\left(e x + 1\right), x\right)"," ",0,"integral(b*x^3*log(c*x^n)*log(e*x + 1) + a*x^3*log(e*x + 1), x)","F",0
3,0,0,0,0.862901," ","integrate(x^2*(a+b*log(c*x^n))*log(e*x+1),x, algorithm=""fricas"")","{\rm integral}\left(b x^{2} \log\left(c x^{n}\right) \log\left(e x + 1\right) + a x^{2} \log\left(e x + 1\right), x\right)"," ",0,"integral(b*x^2*log(c*x^n)*log(e*x + 1) + a*x^2*log(e*x + 1), x)","F",0
4,0,0,0,0.883464," ","integrate(x*(a+b*log(c*x^n))*log(e*x+1),x, algorithm=""fricas"")","{\rm integral}\left(b x \log\left(c x^{n}\right) \log\left(e x + 1\right) + a x \log\left(e x + 1\right), x\right)"," ",0,"integral(b*x*log(c*x^n)*log(e*x + 1) + a*x*log(e*x + 1), x)","F",0
5,0,0,0,0.685635," ","integrate((a+b*log(c*x^n))*log(e*x+1),x, algorithm=""fricas"")","{\rm integral}\left(b \log\left(c x^{n}\right) \log\left(e x + 1\right) + a \log\left(e x + 1\right), x\right)"," ",0,"integral(b*log(c*x^n)*log(e*x + 1) + a*log(e*x + 1), x)","F",0
6,0,0,0,0.818236," ","integrate((a+b*log(c*x^n))*log(e*x+1)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) \log\left(e x + 1\right) + a \log\left(e x + 1\right)}{x}, x\right)"," ",0,"integral((b*log(c*x^n)*log(e*x + 1) + a*log(e*x + 1))/x, x)","F",0
7,0,0,0,0.889497," ","integrate((a+b*log(c*x^n))*log(e*x+1)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) \log\left(e x + 1\right) + a \log\left(e x + 1\right)}{x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n)*log(e*x + 1) + a*log(e*x + 1))/x^2, x)","F",0
8,0,0,0,0.841705," ","integrate((a+b*log(c*x^n))*log(e*x+1)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) \log\left(e x + 1\right) + a \log\left(e x + 1\right)}{x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n)*log(e*x + 1) + a*log(e*x + 1))/x^3, x)","F",0
9,0,0,0,0.826103," ","integrate((a+b*log(c*x^n))*log(e*x+1)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) \log\left(e x + 1\right) + a \log\left(e x + 1\right)}{x^{4}}, x\right)"," ",0,"integral((b*log(c*x^n)*log(e*x + 1) + a*log(e*x + 1))/x^4, x)","F",0
10,0,0,0,0.781847," ","integrate(x^3*(a+b*log(c*x^n))^2*log(e*x+1),x, algorithm=""fricas"")","{\rm integral}\left(b^{2} x^{3} \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 2 \, a b x^{3} \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{2} x^{3} \log\left(e x + 1\right), x\right)"," ",0,"integral(b^2*x^3*log(c*x^n)^2*log(e*x + 1) + 2*a*b*x^3*log(c*x^n)*log(e*x + 1) + a^2*x^3*log(e*x + 1), x)","F",0
11,0,0,0,0.561450," ","integrate(x^2*(a+b*log(c*x^n))^2*log(e*x+1),x, algorithm=""fricas"")","{\rm integral}\left(b^{2} x^{2} \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 2 \, a b x^{2} \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{2} x^{2} \log\left(e x + 1\right), x\right)"," ",0,"integral(b^2*x^2*log(c*x^n)^2*log(e*x + 1) + 2*a*b*x^2*log(c*x^n)*log(e*x + 1) + a^2*x^2*log(e*x + 1), x)","F",0
12,0,0,0,0.802162," ","integrate(x*(a+b*log(c*x^n))^2*log(e*x+1),x, algorithm=""fricas"")","{\rm integral}\left(b^{2} x \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 2 \, a b x \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{2} x \log\left(e x + 1\right), x\right)"," ",0,"integral(b^2*x*log(c*x^n)^2*log(e*x + 1) + 2*a*b*x*log(c*x^n)*log(e*x + 1) + a^2*x*log(e*x + 1), x)","F",0
13,0,0,0,0.868747," ","integrate((a+b*log(c*x^n))^2*log(e*x+1),x, algorithm=""fricas"")","{\rm integral}\left(b^{2} \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 2 \, a b \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{2} \log\left(e x + 1\right), x\right)"," ",0,"integral(b^2*log(c*x^n)^2*log(e*x + 1) + 2*a*b*log(c*x^n)*log(e*x + 1) + a^2*log(e*x + 1), x)","F",0
14,0,0,0,0.868538," ","integrate((a+b*log(c*x^n))^2*log(e*x+1)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 2 \, a b \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{2} \log\left(e x + 1\right)}{x}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2*log(e*x + 1) + 2*a*b*log(c*x^n)*log(e*x + 1) + a^2*log(e*x + 1))/x, x)","F",0
15,0,0,0,0.792873," ","integrate((a+b*log(c*x^n))^2*log(e*x+1)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 2 \, a b \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{2} \log\left(e x + 1\right)}{x^{2}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2*log(e*x + 1) + 2*a*b*log(c*x^n)*log(e*x + 1) + a^2*log(e*x + 1))/x^2, x)","F",0
16,0,0,0,1.005153," ","integrate((a+b*log(c*x^n))^2*log(e*x+1)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 2 \, a b \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{2} \log\left(e x + 1\right)}{x^{3}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2*log(e*x + 1) + 2*a*b*log(c*x^n)*log(e*x + 1) + a^2*log(e*x + 1))/x^3, x)","F",0
17,0,0,0,0.869666," ","integrate(x^3*(a+b*log(c*x^n))^3*log(e*x+1),x, algorithm=""fricas"")","{\rm integral}\left(b^{3} x^{3} \log\left(c x^{n}\right)^{3} \log\left(e x + 1\right) + 3 \, a b^{2} x^{3} \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 3 \, a^{2} b x^{3} \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{3} x^{3} \log\left(e x + 1\right), x\right)"," ",0,"integral(b^3*x^3*log(c*x^n)^3*log(e*x + 1) + 3*a*b^2*x^3*log(c*x^n)^2*log(e*x + 1) + 3*a^2*b*x^3*log(c*x^n)*log(e*x + 1) + a^3*x^3*log(e*x + 1), x)","F",0
18,0,0,0,0.816086," ","integrate(x^2*(a+b*log(c*x^n))^3*log(e*x+1),x, algorithm=""fricas"")","{\rm integral}\left(b^{3} x^{2} \log\left(c x^{n}\right)^{3} \log\left(e x + 1\right) + 3 \, a b^{2} x^{2} \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 3 \, a^{2} b x^{2} \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{3} x^{2} \log\left(e x + 1\right), x\right)"," ",0,"integral(b^3*x^2*log(c*x^n)^3*log(e*x + 1) + 3*a*b^2*x^2*log(c*x^n)^2*log(e*x + 1) + 3*a^2*b*x^2*log(c*x^n)*log(e*x + 1) + a^3*x^2*log(e*x + 1), x)","F",0
19,0,0,0,0.776119," ","integrate(x*(a+b*log(c*x^n))^3*log(e*x+1),x, algorithm=""fricas"")","{\rm integral}\left(b^{3} x \log\left(c x^{n}\right)^{3} \log\left(e x + 1\right) + 3 \, a b^{2} x \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 3 \, a^{2} b x \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{3} x \log\left(e x + 1\right), x\right)"," ",0,"integral(b^3*x*log(c*x^n)^3*log(e*x + 1) + 3*a*b^2*x*log(c*x^n)^2*log(e*x + 1) + 3*a^2*b*x*log(c*x^n)*log(e*x + 1) + a^3*x*log(e*x + 1), x)","F",0
20,0,0,0,0.878447," ","integrate((a+b*log(c*x^n))^3*log(e*x+1),x, algorithm=""fricas"")","{\rm integral}\left(b^{3} \log\left(c x^{n}\right)^{3} \log\left(e x + 1\right) + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 3 \, a^{2} b \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{3} \log\left(e x + 1\right), x\right)"," ",0,"integral(b^3*log(c*x^n)^3*log(e*x + 1) + 3*a*b^2*log(c*x^n)^2*log(e*x + 1) + 3*a^2*b*log(c*x^n)*log(e*x + 1) + a^3*log(e*x + 1), x)","F",0
21,0,0,0,0.881809," ","integrate((a+b*log(c*x^n))^3*log(e*x+1)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left(c x^{n}\right)^{3} \log\left(e x + 1\right) + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 3 \, a^{2} b \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{3} \log\left(e x + 1\right)}{x}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3*log(e*x + 1) + 3*a*b^2*log(c*x^n)^2*log(e*x + 1) + 3*a^2*b*log(c*x^n)*log(e*x + 1) + a^3*log(e*x + 1))/x, x)","F",0
22,0,0,0,0.911839," ","integrate((a+b*log(c*x^n))^3*log(e*x+1)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left(c x^{n}\right)^{3} \log\left(e x + 1\right) + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 3 \, a^{2} b \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{3} \log\left(e x + 1\right)}{x^{2}}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3*log(e*x + 1) + 3*a*b^2*log(c*x^n)^2*log(e*x + 1) + 3*a^2*b*log(c*x^n)*log(e*x + 1) + a^3*log(e*x + 1))/x^2, x)","F",0
23,0,0,0,0.883825," ","integrate((a+b*log(c*x^n))^3*log(e*x+1)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left(c x^{n}\right)^{3} \log\left(e x + 1\right) + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} \log\left(e x + 1\right) + 3 \, a^{2} b \log\left(c x^{n}\right) \log\left(e x + 1\right) + a^{3} \log\left(e x + 1\right)}{x^{3}}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3*log(e*x + 1) + 3*a*b^2*log(c*x^n)^2*log(e*x + 1) + 3*a^2*b*log(c*x^n)*log(e*x + 1) + a^3*log(e*x + 1))/x^3, x)","F",0
24,0,0,0,0.650099," ","integrate(x^3*(a+b*log(c*x^n))*log(d*(1/d+f*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b x^{3} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a x^{3} \log\left(d f x^{2} + 1\right), x\right)"," ",0,"integral(b*x^3*log(d*f*x^2 + 1)*log(c*x^n) + a*x^3*log(d*f*x^2 + 1), x)","F",0
25,0,0,0,0.854276," ","integrate(x*(a+b*log(c*x^n))*log(d*(1/d+f*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b x \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a x \log\left(d f x^{2} + 1\right), x\right)"," ",0,"integral(b*x*log(d*f*x^2 + 1)*log(c*x^n) + a*x*log(d*f*x^2 + 1), x)","F",0
26,0,0,0,0.795204," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^2))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a \log\left(d f x^{2} + 1\right)}{x}, x\right)"," ",0,"integral((b*log(d*f*x^2 + 1)*log(c*x^n) + a*log(d*f*x^2 + 1))/x, x)","F",0
27,0,0,0,0.786378," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^2))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a \log\left(d f x^{2} + 1\right)}{x^{3}}, x\right)"," ",0,"integral((b*log(d*f*x^2 + 1)*log(c*x^n) + a*log(d*f*x^2 + 1))/x^3, x)","F",0
28,0,0,0,0.887148," ","integrate(x^2*(a+b*log(c*x^n))*log(d*(1/d+f*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b x^{2} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a x^{2} \log\left(d f x^{2} + 1\right), x\right)"," ",0,"integral(b*x^2*log(d*f*x^2 + 1)*log(c*x^n) + a*x^2*log(d*f*x^2 + 1), x)","F",0
29,0,0,0,0.945634," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a \log\left(d f x^{2} + 1\right), x\right)"," ",0,"integral(b*log(d*f*x^2 + 1)*log(c*x^n) + a*log(d*f*x^2 + 1), x)","F",0
30,0,0,0,0.872022," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^2))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a \log\left(d f x^{2} + 1\right)}{x^{2}}, x\right)"," ",0,"integral((b*log(d*f*x^2 + 1)*log(c*x^n) + a*log(d*f*x^2 + 1))/x^2, x)","F",0
31,0,0,0,0.956406," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^2))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a \log\left(d f x^{2} + 1\right)}{x^{4}}, x\right)"," ",0,"integral((b*log(d*f*x^2 + 1)*log(c*x^n) + a*log(d*f*x^2 + 1))/x^4, x)","F",0
32,0,0,0,0.947783," ","integrate(x^3*(a+b*log(c*x^n))^2*log(d*(1/d+f*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b^{2} x^{3} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 2 \, a b x^{3} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{2} x^{3} \log\left(d f x^{2} + 1\right), x\right)"," ",0,"integral(b^2*x^3*log(d*f*x^2 + 1)*log(c*x^n)^2 + 2*a*b*x^3*log(d*f*x^2 + 1)*log(c*x^n) + a^2*x^3*log(d*f*x^2 + 1), x)","F",0
33,0,0,0,0.621701," ","integrate(x*(a+b*log(c*x^n))^2*log(d*(1/d+f*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b^{2} x \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 2 \, a b x \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{2} x \log\left(d f x^{2} + 1\right), x\right)"," ",0,"integral(b^2*x*log(d*f*x^2 + 1)*log(c*x^n)^2 + 2*a*b*x*log(d*f*x^2 + 1)*log(c*x^n) + a^2*x*log(d*f*x^2 + 1), x)","F",0
34,0,0,0,0.710873," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^2))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{2} \log\left(d f x^{2} + 1\right)}{x}, x\right)"," ",0,"integral((b^2*log(d*f*x^2 + 1)*log(c*x^n)^2 + 2*a*b*log(d*f*x^2 + 1)*log(c*x^n) + a^2*log(d*f*x^2 + 1))/x, x)","F",0
35,0,0,0,0.630616," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^2))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{2} \log\left(d f x^{2} + 1\right)}{x^{3}}, x\right)"," ",0,"integral((b^2*log(d*f*x^2 + 1)*log(c*x^n)^2 + 2*a*b*log(d*f*x^2 + 1)*log(c*x^n) + a^2*log(d*f*x^2 + 1))/x^3, x)","F",0
36,0,0,0,0.561145," ","integrate(x^2*(a+b*log(c*x^n))^2*log(d*(1/d+f*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b^{2} x^{2} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 2 \, a b x^{2} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{2} x^{2} \log\left(d f x^{2} + 1\right), x\right)"," ",0,"integral(b^2*x^2*log(d*f*x^2 + 1)*log(c*x^n)^2 + 2*a*b*x^2*log(d*f*x^2 + 1)*log(c*x^n) + a^2*x^2*log(d*f*x^2 + 1), x)","F",0
37,0,0,0,0.709198," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b^{2} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{2} \log\left(d f x^{2} + 1\right), x\right)"," ",0,"integral(b^2*log(d*f*x^2 + 1)*log(c*x^n)^2 + 2*a*b*log(d*f*x^2 + 1)*log(c*x^n) + a^2*log(d*f*x^2 + 1), x)","F",0
38,0,0,0,0.665808," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^2))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{2} \log\left(d f x^{2} + 1\right)}{x^{2}}, x\right)"," ",0,"integral((b^2*log(d*f*x^2 + 1)*log(c*x^n)^2 + 2*a*b*log(d*f*x^2 + 1)*log(c*x^n) + a^2*log(d*f*x^2 + 1))/x^2, x)","F",0
39,0,0,0,0.773195," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^2))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{2} \log\left(d f x^{2} + 1\right)}{x^{4}}, x\right)"," ",0,"integral((b^2*log(d*f*x^2 + 1)*log(c*x^n)^2 + 2*a*b*log(d*f*x^2 + 1)*log(c*x^n) + a^2*log(d*f*x^2 + 1))/x^4, x)","F",0
40,0,0,0,0.652222," ","integrate(x^3*(a+b*log(c*x^n))^3*log(d*(1/d+f*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b^{3} x^{3} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} x^{3} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b x^{3} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{3} x^{3} \log\left(d f x^{2} + 1\right), x\right)"," ",0,"integral(b^3*x^3*log(d*f*x^2 + 1)*log(c*x^n)^3 + 3*a*b^2*x^3*log(d*f*x^2 + 1)*log(c*x^n)^2 + 3*a^2*b*x^3*log(d*f*x^2 + 1)*log(c*x^n) + a^3*x^3*log(d*f*x^2 + 1), x)","F",0
41,0,0,0,0.751738," ","integrate(x*(a+b*log(c*x^n))^3*log(d*(1/d+f*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b^{3} x \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} x \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b x \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{3} x \log\left(d f x^{2} + 1\right), x\right)"," ",0,"integral(b^3*x*log(d*f*x^2 + 1)*log(c*x^n)^3 + 3*a*b^2*x*log(d*f*x^2 + 1)*log(c*x^n)^2 + 3*a^2*b*x*log(d*f*x^2 + 1)*log(c*x^n) + a^3*x*log(d*f*x^2 + 1), x)","F",0
42,0,0,0,0.666101," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^2))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{3} \log\left(d f x^{2} + 1\right)}{x}, x\right)"," ",0,"integral((b^3*log(d*f*x^2 + 1)*log(c*x^n)^3 + 3*a*b^2*log(d*f*x^2 + 1)*log(c*x^n)^2 + 3*a^2*b*log(d*f*x^2 + 1)*log(c*x^n) + a^3*log(d*f*x^2 + 1))/x, x)","F",0
43,0,0,0,0.546488," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^2))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{3} \log\left(d f x^{2} + 1\right)}{x^{3}}, x\right)"," ",0,"integral((b^3*log(d*f*x^2 + 1)*log(c*x^n)^3 + 3*a*b^2*log(d*f*x^2 + 1)*log(c*x^n)^2 + 3*a^2*b*log(d*f*x^2 + 1)*log(c*x^n) + a^3*log(d*f*x^2 + 1))/x^3, x)","F",0
44,0,0,0,0.722983," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^2)),x, algorithm=""fricas"")","{\rm integral}\left(b^{3} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{3} \log\left(d f x^{2} + 1\right), x\right)"," ",0,"integral(b^3*log(d*f*x^2 + 1)*log(c*x^n)^3 + 3*a*b^2*log(d*f*x^2 + 1)*log(c*x^n)^2 + 3*a^2*b*log(d*f*x^2 + 1)*log(c*x^n) + a^3*log(d*f*x^2 + 1), x)","F",0
45,0,0,0,0.600850," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^2))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{3} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(d f x^{2} + 1\right) \log\left(c x^{n}\right) + a^{3} \log\left(d f x^{2} + 1\right)}{x^{2}}, x\right)"," ",0,"integral((b^3*log(d*f*x^2 + 1)*log(c*x^n)^3 + 3*a*b^2*log(d*f*x^2 + 1)*log(c*x^n)^2 + 3*a^2*b*log(d*f*x^2 + 1)*log(c*x^n) + a^3*log(d*f*x^2 + 1))/x^2, x)","F",0
46,0,0,0,0.690642," ","integrate(x^2*(a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} \log\left(c x^{n}\right) + a x^{2}\right)} \log\left(d f \sqrt{x} + 1\right), x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)*log(d*f*sqrt(x) + 1), x)","F",0
47,0,0,0,0.679447," ","integrate(x*(a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x \log\left(c x^{n}\right) + a x\right)} \log\left(d f \sqrt{x} + 1\right), x\right)"," ",0,"integral((b*x*log(c*x^n) + a*x)*log(d*f*sqrt(x) + 1), x)","F",0
48,0,0,0,0.731677," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \log\left(c x^{n}\right) + a\right)} \log\left(d f \sqrt{x} + 1\right), x\right)"," ",0,"integral((b*log(c*x^n) + a)*log(d*f*sqrt(x) + 1), x)","F",0
49,0,0,0,0.674303," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2)))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left(d f \sqrt{x} + 1\right)}{x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log(d*f*sqrt(x) + 1)/x, x)","F",0
50,0,0,0,0.956619," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2)))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left(d f \sqrt{x} + 1\right)}{x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log(d*f*sqrt(x) + 1)/x^2, x)","F",0
51,0,0,0,0.704388," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2)))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left(d f \sqrt{x} + 1\right)}{x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log(d*f*sqrt(x) + 1)/x^3, x)","F",0
52,0,0,0,0.587925," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2)))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left(d f \sqrt{x} + 1\right)}{x^{4}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log(d*f*sqrt(x) + 1)/x^4, x)","F",0
53,0,0,0,0.713439," ","integrate(x^2*(a+b*log(c*x^n))^2*log(d*(1/d+f*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} x^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b x^{2} \log\left(c x^{n}\right) + a^{2} x^{2}\right)} \log\left(d f \sqrt{x} + 1\right), x\right)"," ",0,"integral((b^2*x^2*log(c*x^n)^2 + 2*a*b*x^2*log(c*x^n) + a^2*x^2)*log(d*f*sqrt(x) + 1), x)","F",0
54,0,0,0,0.782780," ","integrate(x*(a+b*log(c*x^n))^2*log(d*(1/d+f*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} x \log\left(c x^{n}\right)^{2} + 2 \, a b x \log\left(c x^{n}\right) + a^{2} x\right)} \log\left(d f \sqrt{x} + 1\right), x\right)"," ",0,"integral((b^2*x*log(c*x^n)^2 + 2*a*b*x*log(c*x^n) + a^2*x)*log(d*f*sqrt(x) + 1), x)","F",0
55,0,0,0,0.830821," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left(d f \sqrt{x} + 1\right), x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log(d*f*sqrt(x) + 1), x)","F",0
56,0,0,0,0.535948," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^(1/2)))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left(d f \sqrt{x} + 1\right)}{x}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log(d*f*sqrt(x) + 1)/x, x)","F",0
57,0,0,0,0.655768," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^(1/2)))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left(d f \sqrt{x} + 1\right)}{x^{2}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log(d*f*sqrt(x) + 1)/x^2, x)","F",0
58,0,0,0,0.681552," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^(1/2)))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left(d f \sqrt{x} + 1\right)}{x^{3}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log(d*f*sqrt(x) + 1)/x^3, x)","F",0
59,0,0,0,0.774891," ","integrate(x*(a+b*log(c*x^n))^3*log(d*(1/d+f*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} x \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} x \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b x \log\left(c x^{n}\right) + a^{3} x\right)} \log\left(d f \sqrt{x} + 1\right), x\right)"," ",0,"integral((b^3*x*log(c*x^n)^3 + 3*a*b^2*x*log(c*x^n)^2 + 3*a^2*b*x*log(c*x^n) + a^3*x)*log(d*f*sqrt(x) + 1), x)","F",0
60,0,0,0,0.657022," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left(d f \sqrt{x} + 1\right), x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log(d*f*sqrt(x) + 1), x)","F",0
61,0,0,0,0.678585," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^(1/2)))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left(d f \sqrt{x} + 1\right)}{x}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log(d*f*sqrt(x) + 1)/x, x)","F",0
62,0,0,0,0.720442," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^(1/2)))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left(d f \sqrt{x} + 1\right)}{x^{2}}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log(d*f*sqrt(x) + 1)/x^2, x)","F",0
63,0,0,0,0.716939," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^(1/2)))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left(d f \sqrt{x} + 1\right)}{x^{3}}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log(d*f*sqrt(x) + 1)/x^3, x)","F",0
64,1,523,0,0.976548," ","integrate((a+b*log(c*x^n))^4*log(d*(1/d+f*x^m))/x,x, algorithm=""fricas"")","-\frac{24 \, b^{4} n^{4} {\rm polylog}\left(6, -d f x^{m}\right) + {\left(b^{4} m^{4} n^{4} \log\left(x\right)^{4} + b^{4} m^{4} \log\left(c\right)^{4} + 4 \, a b^{3} m^{4} \log\left(c\right)^{3} + 6 \, a^{2} b^{2} m^{4} \log\left(c\right)^{2} + 4 \, a^{3} b m^{4} \log\left(c\right) + a^{4} m^{4} + 4 \, {\left(b^{4} m^{4} n^{3} \log\left(c\right) + a b^{3} m^{4} n^{3}\right)} \log\left(x\right)^{3} + 6 \, {\left(b^{4} m^{4} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} m^{4} n^{2} \log\left(c\right) + a^{2} b^{2} m^{4} n^{2}\right)} \log\left(x\right)^{2} + 4 \, {\left(b^{4} m^{4} n \log\left(c\right)^{3} + 3 \, a b^{3} m^{4} n \log\left(c\right)^{2} + 3 \, a^{2} b^{2} m^{4} n \log\left(c\right) + a^{3} b m^{4} n\right)} \log\left(x\right)\right)} {\rm Li}_2\left(-d f x^{m}\right) - 24 \, {\left(b^{4} m n^{4} \log\left(x\right) + b^{4} m n^{3} \log\left(c\right) + a b^{3} m n^{3}\right)} {\rm polylog}\left(5, -d f x^{m}\right) + 12 \, {\left(b^{4} m^{2} n^{4} \log\left(x\right)^{2} + b^{4} m^{2} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} m^{2} n^{2} \log\left(c\right) + a^{2} b^{2} m^{2} n^{2} + 2 \, {\left(b^{4} m^{2} n^{3} \log\left(c\right) + a b^{3} m^{2} n^{3}\right)} \log\left(x\right)\right)} {\rm polylog}\left(4, -d f x^{m}\right) - 4 \, {\left(b^{4} m^{3} n^{4} \log\left(x\right)^{3} + b^{4} m^{3} n \log\left(c\right)^{3} + 3 \, a b^{3} m^{3} n \log\left(c\right)^{2} + 3 \, a^{2} b^{2} m^{3} n \log\left(c\right) + a^{3} b m^{3} n + 3 \, {\left(b^{4} m^{3} n^{3} \log\left(c\right) + a b^{3} m^{3} n^{3}\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{4} m^{3} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} m^{3} n^{2} \log\left(c\right) + a^{2} b^{2} m^{3} n^{2}\right)} \log\left(x\right)\right)} {\rm polylog}\left(3, -d f x^{m}\right)}{m^{5}}"," ",0,"-(24*b^4*n^4*polylog(6, -d*f*x^m) + (b^4*m^4*n^4*log(x)^4 + b^4*m^4*log(c)^4 + 4*a*b^3*m^4*log(c)^3 + 6*a^2*b^2*m^4*log(c)^2 + 4*a^3*b*m^4*log(c) + a^4*m^4 + 4*(b^4*m^4*n^3*log(c) + a*b^3*m^4*n^3)*log(x)^3 + 6*(b^4*m^4*n^2*log(c)^2 + 2*a*b^3*m^4*n^2*log(c) + a^2*b^2*m^4*n^2)*log(x)^2 + 4*(b^4*m^4*n*log(c)^3 + 3*a*b^3*m^4*n*log(c)^2 + 3*a^2*b^2*m^4*n*log(c) + a^3*b*m^4*n)*log(x))*dilog(-d*f*x^m) - 24*(b^4*m*n^4*log(x) + b^4*m*n^3*log(c) + a*b^3*m*n^3)*polylog(5, -d*f*x^m) + 12*(b^4*m^2*n^4*log(x)^2 + b^4*m^2*n^2*log(c)^2 + 2*a*b^3*m^2*n^2*log(c) + a^2*b^2*m^2*n^2 + 2*(b^4*m^2*n^3*log(c) + a*b^3*m^2*n^3)*log(x))*polylog(4, -d*f*x^m) - 4*(b^4*m^3*n^4*log(x)^3 + b^4*m^3*n*log(c)^3 + 3*a*b^3*m^3*n*log(c)^2 + 3*a^2*b^2*m^3*n*log(c) + a^3*b*m^3*n + 3*(b^4*m^3*n^3*log(c) + a*b^3*m^3*n^3)*log(x)^2 + 3*(b^4*m^3*n^2*log(c)^2 + 2*a*b^3*m^3*n^2*log(c) + a^2*b^2*m^3*n^2)*log(x))*polylog(3, -d*f*x^m))/m^5","C",0
65,1,285,0,0.777818," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^m))/x,x, algorithm=""fricas"")","\frac{6 \, b^{3} n^{3} {\rm polylog}\left(5, -d f x^{m}\right) - {\left(b^{3} m^{3} n^{3} \log\left(x\right)^{3} + b^{3} m^{3} \log\left(c\right)^{3} + 3 \, a b^{2} m^{3} \log\left(c\right)^{2} + 3 \, a^{2} b m^{3} \log\left(c\right) + a^{3} m^{3} + 3 \, {\left(b^{3} m^{3} n^{2} \log\left(c\right) + a b^{2} m^{3} n^{2}\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} m^{3} n \log\left(c\right)^{2} + 2 \, a b^{2} m^{3} n \log\left(c\right) + a^{2} b m^{3} n\right)} \log\left(x\right)\right)} {\rm Li}_2\left(-d f x^{m}\right) - 6 \, {\left(b^{3} m n^{3} \log\left(x\right) + b^{3} m n^{2} \log\left(c\right) + a b^{2} m n^{2}\right)} {\rm polylog}\left(4, -d f x^{m}\right) + 3 \, {\left(b^{3} m^{2} n^{3} \log\left(x\right)^{2} + b^{3} m^{2} n \log\left(c\right)^{2} + 2 \, a b^{2} m^{2} n \log\left(c\right) + a^{2} b m^{2} n + 2 \, {\left(b^{3} m^{2} n^{2} \log\left(c\right) + a b^{2} m^{2} n^{2}\right)} \log\left(x\right)\right)} {\rm polylog}\left(3, -d f x^{m}\right)}{m^{4}}"," ",0,"(6*b^3*n^3*polylog(5, -d*f*x^m) - (b^3*m^3*n^3*log(x)^3 + b^3*m^3*log(c)^3 + 3*a*b^2*m^3*log(c)^2 + 3*a^2*b*m^3*log(c) + a^3*m^3 + 3*(b^3*m^3*n^2*log(c) + a*b^2*m^3*n^2)*log(x)^2 + 3*(b^3*m^3*n*log(c)^2 + 2*a*b^2*m^3*n*log(c) + a^2*b*m^3*n)*log(x))*dilog(-d*f*x^m) - 6*(b^3*m*n^3*log(x) + b^3*m*n^2*log(c) + a*b^2*m*n^2)*polylog(4, -d*f*x^m) + 3*(b^3*m^2*n^3*log(x)^2 + b^3*m^2*n*log(c)^2 + 2*a*b^2*m^2*n*log(c) + a^2*b*m^2*n + 2*(b^3*m^2*n^2*log(c) + a*b^2*m^2*n^2)*log(x))*polylog(3, -d*f*x^m))/m^4","C",0
66,1,131,0,0.722587," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^m))/x,x, algorithm=""fricas"")","-\frac{2 \, b^{2} n^{2} {\rm polylog}\left(4, -d f x^{m}\right) + {\left(b^{2} m^{2} n^{2} \log\left(x\right)^{2} + b^{2} m^{2} \log\left(c\right)^{2} + 2 \, a b m^{2} \log\left(c\right) + a^{2} m^{2} + 2 \, {\left(b^{2} m^{2} n \log\left(c\right) + a b m^{2} n\right)} \log\left(x\right)\right)} {\rm Li}_2\left(-d f x^{m}\right) - 2 \, {\left(b^{2} m n^{2} \log\left(x\right) + b^{2} m n \log\left(c\right) + a b m n\right)} {\rm polylog}\left(3, -d f x^{m}\right)}{m^{3}}"," ",0,"-(2*b^2*n^2*polylog(4, -d*f*x^m) + (b^2*m^2*n^2*log(x)^2 + b^2*m^2*log(c)^2 + 2*a*b*m^2*log(c) + a^2*m^2 + 2*(b^2*m^2*n*log(c) + a*b*m^2*n)*log(x))*dilog(-d*f*x^m) - 2*(b^2*m*n^2*log(x) + b^2*m*n*log(c) + a*b*m*n)*polylog(3, -d*f*x^m))/m^3","C",0
67,1,42,0,0.619739," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^m))/x,x, algorithm=""fricas"")","\frac{b n {\rm polylog}\left(3, -d f x^{m}\right) - {\left(b m n \log\left(x\right) + b m \log\left(c\right) + a m\right)} {\rm Li}_2\left(-d f x^{m}\right)}{m^{2}}"," ",0,"(b*n*polylog(3, -d*f*x^m) - (b*m*n*log(x) + b*m*log(c) + a*m)*dilog(-d*f*x^m))/m^2","C",0
68,0,0,0,0.792431," ","integrate(log(d*(1/d+f*x^m))/x/(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(d f x^{m} + 1\right)}{b x \log\left(c x^{n}\right) + a x}, x\right)"," ",0,"integral(log(d*f*x^m + 1)/(b*x*log(c*x^n) + a*x), x)","F",0
69,0,0,0,0.648621," ","integrate(log(d*(1/d+f*x^m))/x/(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(d f x^{m} + 1\right)}{b^{2} x \log\left(c x^{n}\right)^{2} + 2 \, a b x \log\left(c x^{n}\right) + a^{2} x}, x\right)"," ",0,"integral(log(d*f*x^m + 1)/(b^2*x*log(c*x^n)^2 + 2*a*b*x*log(c*x^n) + a^2*x), x)","F",0
70,0,0,0,0.686856," ","integrate(x^3*(a+b*log(c*x^n))*log(d*(f*x+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{3} \log\left(c x^{n}\right) + a x^{3}\right)} \log\left({\left(f x + e\right)}^{m} d\right), x\right)"," ",0,"integral((b*x^3*log(c*x^n) + a*x^3)*log((f*x + e)^m*d), x)","F",0
71,0,0,0,0.775751," ","integrate(x^2*(a+b*log(c*x^n))*log(d*(f*x+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} \log\left(c x^{n}\right) + a x^{2}\right)} \log\left({\left(f x + e\right)}^{m} d\right), x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)*log((f*x + e)^m*d), x)","F",0
72,0,0,0,0.787725," ","integrate(x*(a+b*log(c*x^n))*log(d*(f*x+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x \log\left(c x^{n}\right) + a x\right)} \log\left({\left(f x + e\right)}^{m} d\right), x\right)"," ",0,"integral((b*x*log(c*x^n) + a*x)*log((f*x + e)^m*d), x)","F",0
73,0,0,0,0.854160," ","integrate((a+b*log(c*x^n))*log(d*(f*x+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x + e\right)}^{m} d\right), x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x + e)^m*d), x)","F",0
74,0,0,0,0.876419," ","integrate((a+b*log(c*x^n))*log(d*(f*x+e)^m)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x + e\right)}^{m} d\right)}{x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x + e)^m*d)/x, x)","F",0
75,0,0,0,0.778284," ","integrate((a+b*log(c*x^n))*log(d*(f*x+e)^m)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x + e\right)}^{m} d\right)}{x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x + e)^m*d)/x^2, x)","F",0
76,0,0,0,0.847870," ","integrate((a+b*log(c*x^n))*log(d*(f*x+e)^m)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x + e\right)}^{m} d\right)}{x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x + e)^m*d)/x^3, x)","F",0
77,0,0,0,0.656461," ","integrate((a+b*log(c*x^n))*log(d*(f*x+e)^m)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x + e\right)}^{m} d\right)}{x^{4}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x + e)^m*d)/x^4, x)","F",0
78,0,0,0,0.913862," ","integrate(x^2*(a+b*log(c*x^n))^2*log(d*(f*x+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} x^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b x^{2} \log\left(c x^{n}\right) + a^{2} x^{2}\right)} \log\left({\left(f x + e\right)}^{m} d\right), x\right)"," ",0,"integral((b^2*x^2*log(c*x^n)^2 + 2*a*b*x^2*log(c*x^n) + a^2*x^2)*log((f*x + e)^m*d), x)","F",0
79,0,0,0,0.874055," ","integrate(x*(a+b*log(c*x^n))^2*log(d*(f*x+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} x \log\left(c x^{n}\right)^{2} + 2 \, a b x \log\left(c x^{n}\right) + a^{2} x\right)} \log\left({\left(f x + e\right)}^{m} d\right), x\right)"," ",0,"integral((b^2*x*log(c*x^n)^2 + 2*a*b*x*log(c*x^n) + a^2*x)*log((f*x + e)^m*d), x)","F",0
80,0,0,0,0.878387," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left({\left(f x + e\right)}^{m} d\right), x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log((f*x + e)^m*d), x)","F",0
81,0,0,0,0.678172," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x+e)^m)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left({\left(f x + e\right)}^{m} d\right)}{x}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log((f*x + e)^m*d)/x, x)","F",0
82,0,0,0,0.745796," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x+e)^m)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left({\left(f x + e\right)}^{m} d\right)}{x^{2}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log((f*x + e)^m*d)/x^2, x)","F",0
83,0,0,0,0.802239," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x+e)^m)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left({\left(f x + e\right)}^{m} d\right)}{x^{3}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log((f*x + e)^m*d)/x^3, x)","F",0
84,0,0,0,0.736384," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x+e)^m)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left({\left(f x + e\right)}^{m} d\right)}{x^{4}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log((f*x + e)^m*d)/x^4, x)","F",0
85,0,0,0,0.779175," ","integrate(x*(a+b*log(c*x^n))^3*log(d*(f*x+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} x \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} x \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b x \log\left(c x^{n}\right) + a^{3} x\right)} \log\left({\left(f x + e\right)}^{m} d\right), x\right)"," ",0,"integral((b^3*x*log(c*x^n)^3 + 3*a*b^2*x*log(c*x^n)^2 + 3*a^2*b*x*log(c*x^n) + a^3*x)*log((f*x + e)^m*d), x)","F",0
86,0,0,0,0.970963," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left({\left(f x + e\right)}^{m} d\right), x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log((f*x + e)^m*d), x)","F",0
87,0,0,0,0.989458," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x+e)^m)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left({\left(f x + e\right)}^{m} d\right)}{x}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log((f*x + e)^m*d)/x, x)","F",0
88,0,0,0,0.877375," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x+e)^m)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left({\left(f x + e\right)}^{m} d\right)}{x^{2}}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log((f*x + e)^m*d)/x^2, x)","F",0
89,0,0,0,0.768009," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x+e)^m)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left({\left(f x + e\right)}^{m} d\right)}{x^{3}}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log((f*x + e)^m*d)/x^3, x)","F",0
90,0,0,0,0.910100," ","integrate(x^3*(a+b*log(c*x^n))*log(d*(f*x^2+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{3} \log\left(c x^{n}\right) + a x^{3}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right), x\right)"," ",0,"integral((b*x^3*log(c*x^n) + a*x^3)*log((f*x^2 + e)^m*d), x)","F",0
91,0,0,0,0.955804," ","integrate(x*(a+b*log(c*x^n))*log(d*(f*x^2+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x \log\left(c x^{n}\right) + a x\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right), x\right)"," ",0,"integral((b*x*log(c*x^n) + a*x)*log((f*x^2 + e)^m*d), x)","F",0
92,0,0,0,0.759338," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x^2 + e)^m*d)/x, x)","F",0
93,0,0,0,0.722094," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x^2 + e)^m*d)/x^3, x)","F",0
94,0,0,0,0.589124," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x^{5}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x^2 + e)^m*d)/x^5, x)","F",0
95,0,0,0,0.795277," ","integrate(x^2*(a+b*log(c*x^n))*log(d*(f*x^2+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} \log\left(c x^{n}\right) + a x^{2}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right), x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)*log((f*x^2 + e)^m*d), x)","F",0
96,0,0,0,0.874262," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right), x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x^2 + e)^m*d), x)","F",0
97,0,0,0,0.865763," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x^2 + e)^m*d)/x^2, x)","F",0
98,0,0,0,0.866338," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x^{4}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x^2 + e)^m*d)/x^4, x)","F",0
99,0,0,0,0.871688," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m)/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x^{6}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x^2 + e)^m*d)/x^6, x)","F",0
100,0,0,0,0.797467," ","integrate(x*(a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} x \log\left(c x^{n}\right)^{2} + 2 \, a b x \log\left(c x^{n}\right) + a^{2} x\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right), x\right)"," ",0,"integral((b^2*x*log(c*x^n)^2 + 2*a*b*x*log(c*x^n) + a^2*x)*log((f*x^2 + e)^m*d), x)","F",0
101,0,0,0,0.792129," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log((f*x^2 + e)^m*d)/x, x)","F",0
102,0,0,0,0.601379," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x^{3}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log((f*x^2 + e)^m*d)/x^3, x)","F",0
103,0,0,0,0.573393," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x^{5}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log((f*x^2 + e)^m*d)/x^5, x)","F",0
104,0,0,0,0.806840," ","integrate(x^2*(a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} x^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b x^{2} \log\left(c x^{n}\right) + a^{2} x^{2}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right), x\right)"," ",0,"integral((b^2*x^2*log(c*x^n)^2 + 2*a*b*x^2*log(c*x^n) + a^2*x^2)*log((f*x^2 + e)^m*d), x)","F",0
105,0,0,0,0.919326," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right), x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log((f*x^2 + e)^m*d), x)","F",0
106,0,0,0,0.638753," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x^{2}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log((f*x^2 + e)^m*d)/x^2, x)","F",0
107,0,0,0,0.804919," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x^{4}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log((f*x^2 + e)^m*d)/x^4, x)","F",0
108,0,0,0,0.616762," ","integrate(x*(a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} x \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} x \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b x \log\left(c x^{n}\right) + a^{3} x\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right), x\right)"," ",0,"integral((b^3*x*log(c*x^n)^3 + 3*a*b^2*x*log(c*x^n)^2 + 3*a^2*b*x*log(c*x^n) + a^3*x)*log((f*x^2 + e)^m*d), x)","F",0
109,0,0,0,0.818516," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log((f*x^2 + e)^m*d)/x, x)","F",0
110,0,0,0,0.847868," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x^{3}}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log((f*x^2 + e)^m*d)/x^3, x)","F",0
111,0,0,0,0.602811," ","integrate(x^2*(a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} x^{2} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} x^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b x^{2} \log\left(c x^{n}\right) + a^{3} x^{2}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right), x\right)"," ",0,"integral((b^3*x^2*log(c*x^n)^3 + 3*a*b^2*x^2*log(c*x^n)^2 + 3*a^2*b*x^2*log(c*x^n) + a^3*x^2)*log((f*x^2 + e)^m*d), x)","F",0
112,0,0,0,0.692250," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right), x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log((f*x^2 + e)^m*d), x)","F",0
113,0,0,0,0.726000," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x^{2}}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log((f*x^2 + e)^m*d)/x^2, x)","F",0
114,0,0,0,0.775871," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left({\left(f x^{2} + e\right)}^{m} d\right)}{x^{4}}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log((f*x^2 + e)^m*d)/x^4, x)","F",0
115,0,0,0,0.943971," ","integrate(x^2*(a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} \log\left(c x^{n}\right) + a x^{2}\right)} \log\left({\left(f \sqrt{x} + e\right)}^{k} d\right), x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)*log((f*sqrt(x) + e)^k*d), x)","F",0
116,0,0,0,0.929304," ","integrate(x*(a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x \log\left(c x^{n}\right) + a x\right)} \log\left({\left(f \sqrt{x} + e\right)}^{k} d\right), x\right)"," ",0,"integral((b*x*log(c*x^n) + a*x)*log((f*sqrt(x) + e)^k*d), x)","F",0
117,0,0,0,0.792880," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f \sqrt{x} + e\right)}^{k} d\right), x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*sqrt(x) + e)^k*d), x)","F",0
118,0,0,0,0.931012," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f \sqrt{x} + e\right)}^{k} d\right)}{x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*sqrt(x) + e)^k*d)/x, x)","F",0
119,0,0,0,0.783011," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f \sqrt{x} + e\right)}^{k} d\right)}{x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*sqrt(x) + e)^k*d)/x^2, x)","F",0
120,0,0,0,0.799783," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f \sqrt{x} + e\right)}^{k} d\right)}{x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*sqrt(x) + e)^k*d)/x^3, x)","F",0
121,0,0,0,0.906102," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f \sqrt{x} + e\right)}^{k} d\right)}{x^{4}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*sqrt(x) + e)^k*d)/x^4, x)","F",0
122,0,0,0,0.843563," ","integrate(x^2*(a+b*log(c*x^n))^2*log(d*(e+f*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} x^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b x^{2} \log\left(c x^{n}\right) + a^{2} x^{2}\right)} \log\left(d f \sqrt{x} + d e\right), x\right)"," ",0,"integral((b^2*x^2*log(c*x^n)^2 + 2*a*b*x^2*log(c*x^n) + a^2*x^2)*log(d*f*sqrt(x) + d*e), x)","F",0
123,0,0,0,0.989630," ","integrate(x*(a+b*log(c*x^n))^2*log(d*(e+f*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} x \log\left(c x^{n}\right)^{2} + 2 \, a b x \log\left(c x^{n}\right) + a^{2} x\right)} \log\left(d f \sqrt{x} + d e\right), x\right)"," ",0,"integral((b^2*x*log(c*x^n)^2 + 2*a*b*x*log(c*x^n) + a^2*x)*log(d*f*sqrt(x) + d*e), x)","F",0
124,0,0,0,0.968429," ","integrate((a+b*log(c*x^n))^2*log(d*(e+f*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left(d f \sqrt{x} + d e\right), x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log(d*f*sqrt(x) + d*e), x)","F",0
125,0,0,0,0.884304," ","integrate((a+b*log(c*x^n))^2*log(d*(e+f*x^(1/2)))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left(d f \sqrt{x} + d e\right)}{x}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log(d*f*sqrt(x) + d*e)/x, x)","F",0
126,0,0,0,0.967375," ","integrate((a+b*log(c*x^n))^2*log(d*(e+f*x^(1/2)))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left(d f \sqrt{x} + d e\right)}{x^{2}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log(d*f*sqrt(x) + d*e)/x^2, x)","F",0
127,0,0,0,0.738329," ","integrate((a+b*log(c*x^n))^2*log(d*(e+f*x^(1/2)))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} \log\left(d f \sqrt{x} + d e\right)}{x^{3}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*log(d*f*sqrt(x) + d*e)/x^3, x)","F",0
128,0,0,0,0.909526," ","integrate(x*(a+b*log(c*x^n))^3*log(d*(e+f*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} x \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} x \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b x \log\left(c x^{n}\right) + a^{3} x\right)} \log\left(d f \sqrt{x} + d e\right), x\right)"," ",0,"integral((b^3*x*log(c*x^n)^3 + 3*a*b^2*x*log(c*x^n)^2 + 3*a^2*b*x*log(c*x^n) + a^3*x)*log(d*f*sqrt(x) + d*e), x)","F",0
129,0,0,0,0.902044," ","integrate((a+b*log(c*x^n))^3*log(d*(e+f*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left({\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left(d f \sqrt{x} + d e\right), x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log(d*f*sqrt(x) + d*e), x)","F",0
130,0,0,0,0.665976," ","integrate((a+b*log(c*x^n))^3*log(d*(e+f*x^(1/2)))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left(d f \sqrt{x} + d e\right)}{x}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log(d*f*sqrt(x) + d*e)/x, x)","F",0
131,0,0,0,0.898954," ","integrate((a+b*log(c*x^n))^3*log(d*(e+f*x^(1/2)))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left(d f \sqrt{x} + d e\right)}{x^{2}}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log(d*f*sqrt(x) + d*e)/x^2, x)","F",0
132,0,0,0,1.029839," ","integrate((a+b*log(c*x^n))^3*log(d*(e+f*x^(1/2)))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} \log\left(d f \sqrt{x} + d e\right)}{x^{3}}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*log(d*f*sqrt(x) + d*e)/x^3, x)","F",0
133,0,0,0,0.844519," ","integrate(x^(3/2)*(a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{\frac{3}{2}} \log\left(c x^{n}\right) + a x^{\frac{3}{2}}\right)} \log\left({\left(f \sqrt{x} + e\right)}^{k} d\right), x\right)"," ",0,"integral((b*x^(3/2)*log(c*x^n) + a*x^(3/2))*log((f*sqrt(x) + e)^k*d), x)","F",0
134,0,0,0,0.926722," ","integrate(x^(1/2)*(a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \sqrt{x} \log\left(c x^{n}\right) + a \sqrt{x}\right)} \log\left({\left(f \sqrt{x} + e\right)}^{k} d\right), x\right)"," ",0,"integral((b*sqrt(x)*log(c*x^n) + a*sqrt(x))*log((f*sqrt(x) + e)^k*d), x)","F",0
135,0,0,0,0.808351," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \sqrt{x} \log\left(c x^{n}\right) + a \sqrt{x}\right)} \log\left({\left(f \sqrt{x} + e\right)}^{k} d\right)}{x^{2}}, x\right)"," ",0,"integral((b*sqrt(x)*log(c*x^n) + a*sqrt(x))*log((f*sqrt(x) + e)^k*d)/x^2, x)","F",0
136,0,0,0,0.939228," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \sqrt{x} \log\left(c x^{n}\right) + a \sqrt{x}\right)} \log\left({\left(f \sqrt{x} + e\right)}^{k} d\right)}{x^{3}}, x\right)"," ",0,"integral((b*sqrt(x)*log(c*x^n) + a*sqrt(x))*log((f*sqrt(x) + e)^k*d)/x^3, x)","F",0
137,0,0,0,0.931833," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \sqrt{x} \log\left(c x^{n}\right) + a \sqrt{x}\right)} \log\left({\left(f \sqrt{x} + e\right)}^{k} d\right)}{x^{4}}, x\right)"," ",0,"integral((b*sqrt(x)*log(c*x^n) + a*sqrt(x))*log((f*sqrt(x) + e)^k*d)/x^4, x)","F",0
138,0,0,0,0.965191," ","integrate((g*x)^q*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""fricas"")","{\rm integral}\left({\left(\left(g x\right)^{q} b \log\left(c x^{n}\right) + \left(g x\right)^{q} a\right)} \log\left({\left(f x^{m} + e\right)}^{k} d\right), x\right)"," ",0,"integral(((g*x)^q*b*log(c*x^n) + (g*x)^q*a)*log((f*x^m + e)^k*d), x)","F",0
139,1,765,0,0.884226," ","integrate((a+b*log(c*x^n))^3*log(d*(e+f*x^m)^r)/x,x, algorithm=""fricas"")","\frac{b^{3} m^{4} n^{3} \log\left(d\right) \log\left(x\right)^{4} + 24 \, b^{3} n^{3} r {\rm polylog}\left(5, -\frac{f x^{m}}{e}\right) + 4 \, {\left(b^{3} m^{4} n^{2} \log\left(c\right) + a b^{2} m^{4} n^{2}\right)} \log\left(d\right) \log\left(x\right)^{3} + 6 \, {\left(b^{3} m^{4} n \log\left(c\right)^{2} + 2 \, a b^{2} m^{4} n \log\left(c\right) + a^{2} b m^{4} n\right)} \log\left(d\right) \log\left(x\right)^{2} + 4 \, {\left(b^{3} m^{4} \log\left(c\right)^{3} + 3 \, a b^{2} m^{4} \log\left(c\right)^{2} + 3 \, a^{2} b m^{4} \log\left(c\right) + a^{3} m^{4}\right)} \log\left(d\right) \log\left(x\right) - 4 \, {\left(b^{3} m^{3} n^{3} r \log\left(x\right)^{3} + b^{3} m^{3} r \log\left(c\right)^{3} + 3 \, a b^{2} m^{3} r \log\left(c\right)^{2} + 3 \, a^{2} b m^{3} r \log\left(c\right) + a^{3} m^{3} r + 3 \, {\left(b^{3} m^{3} n^{2} r \log\left(c\right) + a b^{2} m^{3} n^{2} r\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} m^{3} n r \log\left(c\right)^{2} + 2 \, a b^{2} m^{3} n r \log\left(c\right) + a^{2} b m^{3} n r\right)} \log\left(x\right)\right)} {\rm Li}_2\left(-\frac{f x^{m} + e}{e} + 1\right) + {\left(b^{3} m^{4} n^{3} r \log\left(x\right)^{4} + 4 \, {\left(b^{3} m^{4} n^{2} r \log\left(c\right) + a b^{2} m^{4} n^{2} r\right)} \log\left(x\right)^{3} + 6 \, {\left(b^{3} m^{4} n r \log\left(c\right)^{2} + 2 \, a b^{2} m^{4} n r \log\left(c\right) + a^{2} b m^{4} n r\right)} \log\left(x\right)^{2} + 4 \, {\left(b^{3} m^{4} r \log\left(c\right)^{3} + 3 \, a b^{2} m^{4} r \log\left(c\right)^{2} + 3 \, a^{2} b m^{4} r \log\left(c\right) + a^{3} m^{4} r\right)} \log\left(x\right)\right)} \log\left(f x^{m} + e\right) - {\left(b^{3} m^{4} n^{3} r \log\left(x\right)^{4} + 4 \, {\left(b^{3} m^{4} n^{2} r \log\left(c\right) + a b^{2} m^{4} n^{2} r\right)} \log\left(x\right)^{3} + 6 \, {\left(b^{3} m^{4} n r \log\left(c\right)^{2} + 2 \, a b^{2} m^{4} n r \log\left(c\right) + a^{2} b m^{4} n r\right)} \log\left(x\right)^{2} + 4 \, {\left(b^{3} m^{4} r \log\left(c\right)^{3} + 3 \, a b^{2} m^{4} r \log\left(c\right)^{2} + 3 \, a^{2} b m^{4} r \log\left(c\right) + a^{3} m^{4} r\right)} \log\left(x\right)\right)} \log\left(\frac{f x^{m} + e}{e}\right) - 24 \, {\left(b^{3} m n^{3} r \log\left(x\right) + b^{3} m n^{2} r \log\left(c\right) + a b^{2} m n^{2} r\right)} {\rm polylog}\left(4, -\frac{f x^{m}}{e}\right) + 12 \, {\left(b^{3} m^{2} n^{3} r \log\left(x\right)^{2} + b^{3} m^{2} n r \log\left(c\right)^{2} + 2 \, a b^{2} m^{2} n r \log\left(c\right) + a^{2} b m^{2} n r + 2 \, {\left(b^{3} m^{2} n^{2} r \log\left(c\right) + a b^{2} m^{2} n^{2} r\right)} \log\left(x\right)\right)} {\rm polylog}\left(3, -\frac{f x^{m}}{e}\right)}{4 \, m^{4}}"," ",0,"1/4*(b^3*m^4*n^3*log(d)*log(x)^4 + 24*b^3*n^3*r*polylog(5, -f*x^m/e) + 4*(b^3*m^4*n^2*log(c) + a*b^2*m^4*n^2)*log(d)*log(x)^3 + 6*(b^3*m^4*n*log(c)^2 + 2*a*b^2*m^4*n*log(c) + a^2*b*m^4*n)*log(d)*log(x)^2 + 4*(b^3*m^4*log(c)^3 + 3*a*b^2*m^4*log(c)^2 + 3*a^2*b*m^4*log(c) + a^3*m^4)*log(d)*log(x) - 4*(b^3*m^3*n^3*r*log(x)^3 + b^3*m^3*r*log(c)^3 + 3*a*b^2*m^3*r*log(c)^2 + 3*a^2*b*m^3*r*log(c) + a^3*m^3*r + 3*(b^3*m^3*n^2*r*log(c) + a*b^2*m^3*n^2*r)*log(x)^2 + 3*(b^3*m^3*n*r*log(c)^2 + 2*a*b^2*m^3*n*r*log(c) + a^2*b*m^3*n*r)*log(x))*dilog(-(f*x^m + e)/e + 1) + (b^3*m^4*n^3*r*log(x)^4 + 4*(b^3*m^4*n^2*r*log(c) + a*b^2*m^4*n^2*r)*log(x)^3 + 6*(b^3*m^4*n*r*log(c)^2 + 2*a*b^2*m^4*n*r*log(c) + a^2*b*m^4*n*r)*log(x)^2 + 4*(b^3*m^4*r*log(c)^3 + 3*a*b^2*m^4*r*log(c)^2 + 3*a^2*b*m^4*r*log(c) + a^3*m^4*r)*log(x))*log(f*x^m + e) - (b^3*m^4*n^3*r*log(x)^4 + 4*(b^3*m^4*n^2*r*log(c) + a*b^2*m^4*n^2*r)*log(x)^3 + 6*(b^3*m^4*n*r*log(c)^2 + 2*a*b^2*m^4*n*r*log(c) + a^2*b*m^4*n*r)*log(x)^2 + 4*(b^3*m^4*r*log(c)^3 + 3*a*b^2*m^4*r*log(c)^2 + 3*a^2*b*m^4*r*log(c) + a^3*m^4*r)*log(x))*log((f*x^m + e)/e) - 24*(b^3*m*n^3*r*log(x) + b^3*m*n^2*r*log(c) + a*b^2*m*n^2*r)*polylog(4, -f*x^m/e) + 12*(b^3*m^2*n^3*r*log(x)^2 + b^3*m^2*n*r*log(c)^2 + 2*a*b^2*m^2*n*r*log(c) + a^2*b*m^2*n*r + 2*(b^3*m^2*n^2*r*log(c) + a*b^2*m^2*n^2*r)*log(x))*polylog(3, -f*x^m/e))/m^4","C",0
140,1,406,0,0.911829," ","integrate((a+b*log(c*x^n))^2*log(d*(e+f*x^m)^r)/x,x, algorithm=""fricas"")","\frac{b^{2} m^{3} n^{2} \log\left(d\right) \log\left(x\right)^{3} - 6 \, b^{2} n^{2} r {\rm polylog}\left(4, -\frac{f x^{m}}{e}\right) + 3 \, {\left(b^{2} m^{3} n \log\left(c\right) + a b m^{3} n\right)} \log\left(d\right) \log\left(x\right)^{2} + 3 \, {\left(b^{2} m^{3} \log\left(c\right)^{2} + 2 \, a b m^{3} \log\left(c\right) + a^{2} m^{3}\right)} \log\left(d\right) \log\left(x\right) - 3 \, {\left(b^{2} m^{2} n^{2} r \log\left(x\right)^{2} + b^{2} m^{2} r \log\left(c\right)^{2} + 2 \, a b m^{2} r \log\left(c\right) + a^{2} m^{2} r + 2 \, {\left(b^{2} m^{2} n r \log\left(c\right) + a b m^{2} n r\right)} \log\left(x\right)\right)} {\rm Li}_2\left(-\frac{f x^{m} + e}{e} + 1\right) + {\left(b^{2} m^{3} n^{2} r \log\left(x\right)^{3} + 3 \, {\left(b^{2} m^{3} n r \log\left(c\right) + a b m^{3} n r\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{2} m^{3} r \log\left(c\right)^{2} + 2 \, a b m^{3} r \log\left(c\right) + a^{2} m^{3} r\right)} \log\left(x\right)\right)} \log\left(f x^{m} + e\right) - {\left(b^{2} m^{3} n^{2} r \log\left(x\right)^{3} + 3 \, {\left(b^{2} m^{3} n r \log\left(c\right) + a b m^{3} n r\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{2} m^{3} r \log\left(c\right)^{2} + 2 \, a b m^{3} r \log\left(c\right) + a^{2} m^{3} r\right)} \log\left(x\right)\right)} \log\left(\frac{f x^{m} + e}{e}\right) + 6 \, {\left(b^{2} m n^{2} r \log\left(x\right) + b^{2} m n r \log\left(c\right) + a b m n r\right)} {\rm polylog}\left(3, -\frac{f x^{m}}{e}\right)}{3 \, m^{3}}"," ",0,"1/3*(b^2*m^3*n^2*log(d)*log(x)^3 - 6*b^2*n^2*r*polylog(4, -f*x^m/e) + 3*(b^2*m^3*n*log(c) + a*b*m^3*n)*log(d)*log(x)^2 + 3*(b^2*m^3*log(c)^2 + 2*a*b*m^3*log(c) + a^2*m^3)*log(d)*log(x) - 3*(b^2*m^2*n^2*r*log(x)^2 + b^2*m^2*r*log(c)^2 + 2*a*b*m^2*r*log(c) + a^2*m^2*r + 2*(b^2*m^2*n*r*log(c) + a*b*m^2*n*r)*log(x))*dilog(-(f*x^m + e)/e + 1) + (b^2*m^3*n^2*r*log(x)^3 + 3*(b^2*m^3*n*r*log(c) + a*b*m^3*n*r)*log(x)^2 + 3*(b^2*m^3*r*log(c)^2 + 2*a*b*m^3*r*log(c) + a^2*m^3*r)*log(x))*log(f*x^m + e) - (b^2*m^3*n^2*r*log(x)^3 + 3*(b^2*m^3*n*r*log(c) + a*b*m^3*n*r)*log(x)^2 + 3*(b^2*m^3*r*log(c)^2 + 2*a*b*m^3*r*log(c) + a^2*m^3*r)*log(x))*log((f*x^m + e)/e) + 6*(b^2*m*n^2*r*log(x) + b^2*m*n*r*log(c) + a*b*m*n*r)*polylog(3, -f*x^m/e))/m^3","C",0
141,1,173,0,1.039017," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^m)^r)/x,x, algorithm=""fricas"")","\frac{b m^{2} n \log\left(d\right) \log\left(x\right)^{2} + 2 \, b n r {\rm polylog}\left(3, -\frac{f x^{m}}{e}\right) + 2 \, {\left(b m^{2} \log\left(c\right) + a m^{2}\right)} \log\left(d\right) \log\left(x\right) - 2 \, {\left(b m n r \log\left(x\right) + b m r \log\left(c\right) + a m r\right)} {\rm Li}_2\left(-\frac{f x^{m} + e}{e} + 1\right) + {\left(b m^{2} n r \log\left(x\right)^{2} + 2 \, {\left(b m^{2} r \log\left(c\right) + a m^{2} r\right)} \log\left(x\right)\right)} \log\left(f x^{m} + e\right) - {\left(b m^{2} n r \log\left(x\right)^{2} + 2 \, {\left(b m^{2} r \log\left(c\right) + a m^{2} r\right)} \log\left(x\right)\right)} \log\left(\frac{f x^{m} + e}{e}\right)}{2 \, m^{2}}"," ",0,"1/2*(b*m^2*n*log(d)*log(x)^2 + 2*b*n*r*polylog(3, -f*x^m/e) + 2*(b*m^2*log(c) + a*m^2)*log(d)*log(x) - 2*(b*m*n*r*log(x) + b*m*r*log(c) + a*m*r)*dilog(-(f*x^m + e)/e + 1) + (b*m^2*n*r*log(x)^2 + 2*(b*m^2*r*log(c) + a*m^2*r)*log(x))*log(f*x^m + e) - (b*m^2*n*r*log(x)^2 + 2*(b*m^2*r*log(c) + a*m^2*r)*log(x))*log((f*x^m + e)/e))/m^2","C",0
142,0,0,0,0.698256," ","integrate(log(d*(e+f*x^m)^r)/x/(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(f x^{m} + e\right)}^{r} d\right)}{b x \log\left(c x^{n}\right) + a x}, x\right)"," ",0,"integral(log((f*x^m + e)^r*d)/(b*x*log(c*x^n) + a*x), x)","F",0
143,0,0,0,0.881596," ","integrate(log(d*(e+f*x^m)^r)/x/(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left({\left(f x^{m} + e\right)}^{r} d\right)}{b^{2} x \log\left(c x^{n}\right)^{2} + 2 \, a b x \log\left(c x^{n}\right) + a^{2} x}, x\right)"," ",0,"integral(log((f*x^m + e)^r*d)/(b^2*x*log(c*x^n)^2 + 2*a*b*x*log(c*x^n) + a^2*x), x)","F",0
144,0,0,0,0.839810," ","integrate(x^2*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} \log\left(c x^{n}\right) + a x^{2}\right)} \log\left({\left(f x^{m} + e\right)}^{k} d\right), x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)*log((f*x^m + e)^k*d), x)","F",0
145,0,0,0,0.694794," ","integrate(x*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x \log\left(c x^{n}\right) + a x\right)} \log\left({\left(f x^{m} + e\right)}^{k} d\right), x\right)"," ",0,"integral((b*x*log(c*x^n) + a*x)*log((f*x^m + e)^k*d), x)","F",0
146,0,0,0,0.900232," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x^{m} + e\right)}^{k} d\right), x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x^m + e)^k*d), x)","F",0
147,1,173,0,0.649451," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^m)^k)/x,x, algorithm=""fricas"")","\frac{b m^{2} n \log\left(d\right) \log\left(x\right)^{2} + 2 \, b k n {\rm polylog}\left(3, -\frac{f x^{m}}{e}\right) + 2 \, {\left(b m^{2} \log\left(c\right) + a m^{2}\right)} \log\left(d\right) \log\left(x\right) - 2 \, {\left(b k m n \log\left(x\right) + b k m \log\left(c\right) + a k m\right)} {\rm Li}_2\left(-\frac{f x^{m} + e}{e} + 1\right) + {\left(b k m^{2} n \log\left(x\right)^{2} + 2 \, {\left(b k m^{2} \log\left(c\right) + a k m^{2}\right)} \log\left(x\right)\right)} \log\left(f x^{m} + e\right) - {\left(b k m^{2} n \log\left(x\right)^{2} + 2 \, {\left(b k m^{2} \log\left(c\right) + a k m^{2}\right)} \log\left(x\right)\right)} \log\left(\frac{f x^{m} + e}{e}\right)}{2 \, m^{2}}"," ",0,"1/2*(b*m^2*n*log(d)*log(x)^2 + 2*b*k*n*polylog(3, -f*x^m/e) + 2*(b*m^2*log(c) + a*m^2)*log(d)*log(x) - 2*(b*k*m*n*log(x) + b*k*m*log(c) + a*k*m)*dilog(-(f*x^m + e)/e + 1) + (b*k*m^2*n*log(x)^2 + 2*(b*k*m^2*log(c) + a*k*m^2)*log(x))*log(f*x^m + e) - (b*k*m^2*n*log(x)^2 + 2*(b*k*m^2*log(c) + a*k*m^2)*log(x))*log((f*x^m + e)/e))/m^2","C",0
148,0,0,0,0.909878," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^m)^k)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x^{m} + e\right)}^{k} d\right)}{x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x^m + e)^k*d)/x^2, x)","F",0
149,0,0,0,0.931600," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^m)^k)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f x^{m} + e\right)}^{k} d\right)}{x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*log((f*x^m + e)^k*d)/x^3, x)","F",0
150,1,368,0,0.956979," ","integrate((g*x)^(-1+3*m)*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""fricas"")","\frac{36 \, b e^{3} g^{3 \, m - 1} k m n \log\left(x\right) \log\left(\frac{f x^{m} + e}{e}\right) + 36 \, b e^{3} g^{3 \, m - 1} k n {\rm Li}_2\left(-\frac{f x^{m} + e}{e} + 1\right) - 4 \, {\left(3 \, b f^{3} k m \log\left(c\right) + 3 \, a f^{3} k m - 2 \, b f^{3} k n - 3 \, {\left(3 \, b f^{3} m \log\left(c\right) + 3 \, a f^{3} m - b f^{3} n\right)} \log\left(d\right) + 3 \, {\left(b f^{3} k m n - 3 \, b f^{3} m n \log\left(d\right)\right)} \log\left(x\right)\right)} g^{3 \, m - 1} x^{3 \, m} + 3 \, {\left(6 \, b e f^{2} k m n \log\left(x\right) + 6 \, b e f^{2} k m \log\left(c\right) + 6 \, a e f^{2} k m - 5 \, b e f^{2} k n\right)} g^{3 \, m - 1} x^{2 \, m} - 12 \, {\left(3 \, b e^{2} f k m n \log\left(x\right) + 3 \, b e^{2} f k m \log\left(c\right) + 3 \, a e^{2} f k m - 4 \, b e^{2} f k n\right)} g^{3 \, m - 1} x^{m} + 12 \, {\left({\left(3 \, b f^{3} k m n \log\left(x\right) + 3 \, b f^{3} k m \log\left(c\right) + 3 \, a f^{3} k m - b f^{3} k n\right)} g^{3 \, m - 1} x^{3 \, m} + {\left(3 \, b e^{3} k m \log\left(c\right) + 3 \, a e^{3} k m - b e^{3} k n\right)} g^{3 \, m - 1}\right)} \log\left(f x^{m} + e\right)}{108 \, f^{3} m^{2}}"," ",0,"1/108*(36*b*e^3*g^(3*m - 1)*k*m*n*log(x)*log((f*x^m + e)/e) + 36*b*e^3*g^(3*m - 1)*k*n*dilog(-(f*x^m + e)/e + 1) - 4*(3*b*f^3*k*m*log(c) + 3*a*f^3*k*m - 2*b*f^3*k*n - 3*(3*b*f^3*m*log(c) + 3*a*f^3*m - b*f^3*n)*log(d) + 3*(b*f^3*k*m*n - 3*b*f^3*m*n*log(d))*log(x))*g^(3*m - 1)*x^(3*m) + 3*(6*b*e*f^2*k*m*n*log(x) + 6*b*e*f^2*k*m*log(c) + 6*a*e*f^2*k*m - 5*b*e*f^2*k*n)*g^(3*m - 1)*x^(2*m) - 12*(3*b*e^2*f*k*m*n*log(x) + 3*b*e^2*f*k*m*log(c) + 3*a*e^2*f*k*m - 4*b*e^2*f*k*n)*g^(3*m - 1)*x^m + 12*((3*b*f^3*k*m*n*log(x) + 3*b*f^3*k*m*log(c) + 3*a*f^3*k*m - b*f^3*k*n)*g^(3*m - 1)*x^(3*m) + (3*b*e^3*k*m*log(c) + 3*a*e^3*k*m - b*e^3*k*n)*g^(3*m - 1))*log(f*x^m + e))/(f^3*m^2)","A",0
151,1,301,0,0.910865," ","integrate((g*x)^(-1+2*m)*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""fricas"")","-\frac{2 \, b e^{2} g^{2 \, m - 1} k m n \log\left(x\right) \log\left(\frac{f x^{m} + e}{e}\right) + 2 \, b e^{2} g^{2 \, m - 1} k n {\rm Li}_2\left(-\frac{f x^{m} + e}{e} + 1\right) + {\left(b f^{2} k m \log\left(c\right) + a f^{2} k m - b f^{2} k n - {\left(2 \, b f^{2} m \log\left(c\right) + 2 \, a f^{2} m - b f^{2} n\right)} \log\left(d\right) + {\left(b f^{2} k m n - 2 \, b f^{2} m n \log\left(d\right)\right)} \log\left(x\right)\right)} g^{2 \, m - 1} x^{2 \, m} - {\left(2 \, b e f k m n \log\left(x\right) + 2 \, b e f k m \log\left(c\right) + 2 \, a e f k m - 3 \, b e f k n\right)} g^{2 \, m - 1} x^{m} - {\left({\left(2 \, b f^{2} k m n \log\left(x\right) + 2 \, b f^{2} k m \log\left(c\right) + 2 \, a f^{2} k m - b f^{2} k n\right)} g^{2 \, m - 1} x^{2 \, m} - {\left(2 \, b e^{2} k m \log\left(c\right) + 2 \, a e^{2} k m - b e^{2} k n\right)} g^{2 \, m - 1}\right)} \log\left(f x^{m} + e\right)}{4 \, f^{2} m^{2}}"," ",0,"-1/4*(2*b*e^2*g^(2*m - 1)*k*m*n*log(x)*log((f*x^m + e)/e) + 2*b*e^2*g^(2*m - 1)*k*n*dilog(-(f*x^m + e)/e + 1) + (b*f^2*k*m*log(c) + a*f^2*k*m - b*f^2*k*n - (2*b*f^2*m*log(c) + 2*a*f^2*m - b*f^2*n)*log(d) + (b*f^2*k*m*n - 2*b*f^2*m*n*log(d))*log(x))*g^(2*m - 1)*x^(2*m) - (2*b*e*f*k*m*n*log(x) + 2*b*e*f*k*m*log(c) + 2*a*e*f*k*m - 3*b*e*f*k*n)*g^(2*m - 1)*x^m - ((2*b*f^2*k*m*n*log(x) + 2*b*f^2*k*m*log(c) + 2*a*f^2*k*m - b*f^2*k*n)*g^(2*m - 1)*x^(2*m) - (2*b*e^2*k*m*log(c) + 2*a*e^2*k*m - b*e^2*k*n)*g^(2*m - 1))*log(f*x^m + e))/(f^2*m^2)","A",0
152,1,196,0,0.951750," ","integrate((g*x)^(-1+m)*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""fricas"")","\frac{b e g^{m - 1} k m n \log\left(x\right) \log\left(\frac{f x^{m} + e}{e}\right) + b e g^{m - 1} k n {\rm Li}_2\left(-\frac{f x^{m} + e}{e} + 1\right) - {\left(b f k m \log\left(c\right) + a f k m - 2 \, b f k n - {\left(b f m \log\left(c\right) + a f m - b f n\right)} \log\left(d\right) + {\left(b f k m n - b f m n \log\left(d\right)\right)} \log\left(x\right)\right)} g^{m - 1} x^{m} + {\left({\left(b f k m n \log\left(x\right) + b f k m \log\left(c\right) + a f k m - b f k n\right)} g^{m - 1} x^{m} + {\left(b e k m \log\left(c\right) + a e k m - b e k n\right)} g^{m - 1}\right)} \log\left(f x^{m} + e\right)}{f m^{2}}"," ",0,"(b*e*g^(m - 1)*k*m*n*log(x)*log((f*x^m + e)/e) + b*e*g^(m - 1)*k*n*dilog(-(f*x^m + e)/e + 1) - (b*f*k*m*log(c) + a*f*k*m - 2*b*f*k*n - (b*f*m*log(c) + a*f*m - b*f*n)*log(d) + (b*f*k*m*n - b*f*m*n*log(d))*log(x))*g^(m - 1)*x^m + ((b*f*k*m*n*log(x) + b*f*k*m*log(c) + a*f*k*m - b*f*k*n)*g^(m - 1)*x^m + (b*e*k*m*log(c) + a*e*k*m - b*e*k*n)*g^(m - 1))*log(f*x^m + e))/(f*m^2)","A",0
153,1,239,0,1.000700," ","integrate((g*x)^(-1-m)*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""fricas"")","-\frac{2 \, b f g^{-m - 1} k m n x^{m} \log\left(x\right) \log\left(\frac{f x^{m} + e}{e}\right) + 2 \, b f g^{-m - 1} k n x^{m} {\rm Li}_2\left(-\frac{f x^{m} + e}{e} + 1\right) - {\left(b f k m^{2} n \log\left(x\right)^{2} + 2 \, {\left(b f k m^{2} \log\left(c\right) + a f k m^{2} + b f k m n\right)} \log\left(x\right)\right)} g^{-m - 1} x^{m} + 2 \, {\left(b e m n \log\left(d\right) \log\left(x\right) + {\left(b e m \log\left(c\right) + a e m + b e n\right)} \log\left(d\right)\right)} g^{-m - 1} + 2 \, {\left({\left(b f k m \log\left(c\right) + a f k m + b f k n\right)} g^{-m - 1} x^{m} + {\left(b e k m n \log\left(x\right) + b e k m \log\left(c\right) + a e k m + b e k n\right)} g^{-m - 1}\right)} \log\left(f x^{m} + e\right)}{2 \, e m^{2} x^{m}}"," ",0,"-1/2*(2*b*f*g^(-m - 1)*k*m*n*x^m*log(x)*log((f*x^m + e)/e) + 2*b*f*g^(-m - 1)*k*n*x^m*dilog(-(f*x^m + e)/e + 1) - (b*f*k*m^2*n*log(x)^2 + 2*(b*f*k*m^2*log(c) + a*f*k*m^2 + b*f*k*m*n)*log(x))*g^(-m - 1)*x^m + 2*(b*e*m*n*log(d)*log(x) + (b*e*m*log(c) + a*e*m + b*e*n)*log(d))*g^(-m - 1) + 2*((b*f*k*m*log(c) + a*f*k*m + b*f*k*n)*g^(-m - 1)*x^m + (b*e*k*m*n*log(x) + b*e*k*m*log(c) + a*e*k*m + b*e*k*n)*g^(-m - 1))*log(f*x^m + e))/(e*m^2*x^m)","A",0
154,1,338,0,0.869829," ","integrate((g*x)^(-1-2*m)*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""fricas"")","\frac{2 \, b f^{2} g^{-2 \, m - 1} k m n x^{2 \, m} \log\left(x\right) \log\left(\frac{f x^{m} + e}{e}\right) + 2 \, b f^{2} g^{-2 \, m - 1} k n x^{2 \, m} {\rm Li}_2\left(-\frac{f x^{m} + e}{e} + 1\right) - {\left(b f^{2} k m^{2} n \log\left(x\right)^{2} + {\left(2 \, b f^{2} k m^{2} \log\left(c\right) + 2 \, a f^{2} k m^{2} + b f^{2} k m n\right)} \log\left(x\right)\right)} g^{-2 \, m - 1} x^{2 \, m} - {\left(2 \, b e f k m n \log\left(x\right) + 2 \, b e f k m \log\left(c\right) + 2 \, a e f k m + 3 \, b e f k n\right)} g^{-2 \, m - 1} x^{m} - {\left(2 \, b e^{2} m n \log\left(d\right) \log\left(x\right) + {\left(2 \, b e^{2} m \log\left(c\right) + 2 \, a e^{2} m + b e^{2} n\right)} \log\left(d\right)\right)} g^{-2 \, m - 1} + {\left({\left(2 \, b f^{2} k m \log\left(c\right) + 2 \, a f^{2} k m + b f^{2} k n\right)} g^{-2 \, m - 1} x^{2 \, m} - {\left(2 \, b e^{2} k m n \log\left(x\right) + 2 \, b e^{2} k m \log\left(c\right) + 2 \, a e^{2} k m + b e^{2} k n\right)} g^{-2 \, m - 1}\right)} \log\left(f x^{m} + e\right)}{4 \, e^{2} m^{2} x^{2 \, m}}"," ",0,"1/4*(2*b*f^2*g^(-2*m - 1)*k*m*n*x^(2*m)*log(x)*log((f*x^m + e)/e) + 2*b*f^2*g^(-2*m - 1)*k*n*x^(2*m)*dilog(-(f*x^m + e)/e + 1) - (b*f^2*k*m^2*n*log(x)^2 + (2*b*f^2*k*m^2*log(c) + 2*a*f^2*k*m^2 + b*f^2*k*m*n)*log(x))*g^(-2*m - 1)*x^(2*m) - (2*b*e*f*k*m*n*log(x) + 2*b*e*f*k*m*log(c) + 2*a*e*f*k*m + 3*b*e*f*k*n)*g^(-2*m - 1)*x^m - (2*b*e^2*m*n*log(d)*log(x) + (2*b*e^2*m*log(c) + 2*a*e^2*m + b*e^2*n)*log(d))*g^(-2*m - 1) + ((2*b*f^2*k*m*log(c) + 2*a*f^2*k*m + b*f^2*k*n)*g^(-2*m - 1)*x^(2*m) - (2*b*e^2*k*m*n*log(x) + 2*b*e^2*k*m*log(c) + 2*a*e^2*k*m + b*e^2*k*n)*g^(-2*m - 1))*log(f*x^m + e))/(e^2*m^2*x^(2*m))","A",0
155,1,403,0,0.828620," ","integrate((g*x)^(-1-3*m)*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""fricas"")","-\frac{12 \, b f^{3} g^{-3 \, m - 1} k m n x^{3 \, m} \log\left(x\right) \log\left(\frac{f x^{m} + e}{e}\right) + 12 \, b f^{3} g^{-3 \, m - 1} k n x^{3 \, m} {\rm Li}_2\left(-\frac{f x^{m} + e}{e} + 1\right) - 2 \, {\left(3 \, b f^{3} k m^{2} n \log\left(x\right)^{2} + 2 \, {\left(3 \, b f^{3} k m^{2} \log\left(c\right) + 3 \, a f^{3} k m^{2} + b f^{3} k m n\right)} \log\left(x\right)\right)} g^{-3 \, m - 1} x^{3 \, m} - 4 \, {\left(3 \, b e f^{2} k m n \log\left(x\right) + 3 \, b e f^{2} k m \log\left(c\right) + 3 \, a e f^{2} k m + 4 \, b e f^{2} k n\right)} g^{-3 \, m - 1} x^{2 \, m} + {\left(6 \, b e^{2} f k m n \log\left(x\right) + 6 \, b e^{2} f k m \log\left(c\right) + 6 \, a e^{2} f k m + 5 \, b e^{2} f k n\right)} g^{-3 \, m - 1} x^{m} + 4 \, {\left(3 \, b e^{3} m n \log\left(d\right) \log\left(x\right) + {\left(3 \, b e^{3} m \log\left(c\right) + 3 \, a e^{3} m + b e^{3} n\right)} \log\left(d\right)\right)} g^{-3 \, m - 1} + 4 \, {\left({\left(3 \, b f^{3} k m \log\left(c\right) + 3 \, a f^{3} k m + b f^{3} k n\right)} g^{-3 \, m - 1} x^{3 \, m} + {\left(3 \, b e^{3} k m n \log\left(x\right) + 3 \, b e^{3} k m \log\left(c\right) + 3 \, a e^{3} k m + b e^{3} k n\right)} g^{-3 \, m - 1}\right)} \log\left(f x^{m} + e\right)}{36 \, e^{3} m^{2} x^{3 \, m}}"," ",0,"-1/36*(12*b*f^3*g^(-3*m - 1)*k*m*n*x^(3*m)*log(x)*log((f*x^m + e)/e) + 12*b*f^3*g^(-3*m - 1)*k*n*x^(3*m)*dilog(-(f*x^m + e)/e + 1) - 2*(3*b*f^3*k*m^2*n*log(x)^2 + 2*(3*b*f^3*k*m^2*log(c) + 3*a*f^3*k*m^2 + b*f^3*k*m*n)*log(x))*g^(-3*m - 1)*x^(3*m) - 4*(3*b*e*f^2*k*m*n*log(x) + 3*b*e*f^2*k*m*log(c) + 3*a*e*f^2*k*m + 4*b*e*f^2*k*n)*g^(-3*m - 1)*x^(2*m) + (6*b*e^2*f*k*m*n*log(x) + 6*b*e^2*f*k*m*log(c) + 6*a*e^2*f*k*m + 5*b*e^2*f*k*n)*g^(-3*m - 1)*x^m + 4*(3*b*e^3*m*n*log(d)*log(x) + (3*b*e^3*m*log(c) + 3*a*e^3*m + b*e^3*n)*log(d))*g^(-3*m - 1) + 4*((3*b*f^3*k*m*log(c) + 3*a*f^3*k*m + b*f^3*k*n)*g^(-3*m - 1)*x^(3*m) + (3*b*e^3*k*m*n*log(x) + 3*b*e^3*k*m*log(c) + 3*a*e^3*k*m + b*e^3*k*n)*g^(-3*m - 1))*log(f*x^m + e))/(e^3*m^2*x^(3*m))","A",0
156,1,134,0,0.973204," ","integrate(x^2*(a+b*log(c*x^n))*(d+e*log(f*x^r)),x, algorithm=""fricas"")","\frac{1}{3} \, b e n r x^{3} \log\left(x\right)^{2} - \frac{1}{9} \, {\left(b e r - 3 \, b d\right)} x^{3} \log\left(c\right) - \frac{1}{27} \, {\left(3 \, b d n - 9 \, a d - {\left(2 \, b e n - 3 \, a e\right)} r\right)} x^{3} + \frac{1}{9} \, {\left(3 \, b e x^{3} \log\left(c\right) - {\left(b e n - 3 \, a e\right)} x^{3}\right)} \log\left(f\right) + \frac{1}{9} \, {\left(3 \, b e r x^{3} \log\left(c\right) + 3 \, b e n x^{3} \log\left(f\right) + {\left(3 \, b d n - {\left(2 \, b e n - 3 \, a e\right)} r\right)} x^{3}\right)} \log\left(x\right)"," ",0,"1/3*b*e*n*r*x^3*log(x)^2 - 1/9*(b*e*r - 3*b*d)*x^3*log(c) - 1/27*(3*b*d*n - 9*a*d - (2*b*e*n - 3*a*e)*r)*x^3 + 1/9*(3*b*e*x^3*log(c) - (b*e*n - 3*a*e)*x^3)*log(f) + 1/9*(3*b*e*r*x^3*log(c) + 3*b*e*n*x^3*log(f) + (3*b*d*n - (2*b*e*n - 3*a*e)*r)*x^3)*log(x)","A",0
157,1,128,0,0.800274," ","integrate(x*(a+b*log(c*x^n))*(d+e*log(f*x^r)),x, algorithm=""fricas"")","\frac{1}{2} \, b e n r x^{2} \log\left(x\right)^{2} - \frac{1}{4} \, {\left(b e r - 2 \, b d\right)} x^{2} \log\left(c\right) - \frac{1}{4} \, {\left(b d n - 2 \, a d - {\left(b e n - a e\right)} r\right)} x^{2} + \frac{1}{4} \, {\left(2 \, b e x^{2} \log\left(c\right) - {\left(b e n - 2 \, a e\right)} x^{2}\right)} \log\left(f\right) + \frac{1}{2} \, {\left(b e r x^{2} \log\left(c\right) + b e n x^{2} \log\left(f\right) + {\left(b d n - {\left(b e n - a e\right)} r\right)} x^{2}\right)} \log\left(x\right)"," ",0,"1/2*b*e*n*r*x^2*log(x)^2 - 1/4*(b*e*r - 2*b*d)*x^2*log(c) - 1/4*(b*d*n - 2*a*d - (b*e*n - a*e)*r)*x^2 + 1/4*(2*b*e*x^2*log(c) - (b*e*n - 2*a*e)*x^2)*log(f) + 1/2*(b*e*r*x^2*log(c) + b*e*n*x^2*log(f) + (b*d*n - (b*e*n - a*e)*r)*x^2)*log(x)","A",0
158,1,110,0,0.764925," ","integrate((a+b*log(c*x^n))*(d+e*log(f*x^r)),x, algorithm=""fricas"")","b e n r x \log\left(x\right)^{2} - {\left(b e r - b d\right)} x \log\left(c\right) - {\left(b d n - a d - {\left(2 \, b e n - a e\right)} r\right)} x + {\left(b e x \log\left(c\right) - {\left(b e n - a e\right)} x\right)} \log\left(f\right) + {\left(b e r x \log\left(c\right) + b e n x \log\left(f\right) + {\left(b d n - {\left(2 \, b e n - a e\right)} r\right)} x\right)} \log\left(x\right)"," ",0,"b*e*n*r*x*log(x)^2 - (b*e*r - b*d)*x*log(c) - (b*d*n - a*d - (2*b*e*n - a*e)*r)*x + (b*e*x*log(c) - (b*e*n - a*e)*x)*log(f) + (b*e*r*x*log(c) + b*e*n*x*log(f) + (b*d*n - (2*b*e*n - a*e)*r)*x)*log(x)","A",0
159,1,62,0,0.660063," ","integrate((a+b*log(c*x^n))*(d+e*log(f*x^r))/x,x, algorithm=""fricas"")","\frac{1}{3} \, b e n r \log\left(x\right)^{3} + \frac{1}{2} \, {\left(b e r \log\left(c\right) + b e n \log\left(f\right) + b d n + a e r\right)} \log\left(x\right)^{2} + {\left(b d \log\left(c\right) + a d + {\left(b e \log\left(c\right) + a e\right)} \log\left(f\right)\right)} \log\left(x\right)"," ",0,"1/3*b*e*n*r*log(x)^3 + 1/2*(b*e*r*log(c) + b*e*n*log(f) + b*d*n + a*e*r)*log(x)^2 + (b*d*log(c) + a*d + (b*e*log(c) + a*e)*log(f))*log(x)","A",0
160,1,91,0,0.795006," ","integrate((a+b*log(c*x^n))*(d+e*log(f*x^r))/x^2,x, algorithm=""fricas"")","-\frac{b e n r \log\left(x\right)^{2} + b d n + a d + {\left(2 \, b e n + a e\right)} r + {\left(b e r + b d\right)} \log\left(c\right) + {\left(b e n + b e \log\left(c\right) + a e\right)} \log\left(f\right) + {\left(b e r \log\left(c\right) + b e n \log\left(f\right) + b d n + {\left(2 \, b e n + a e\right)} r\right)} \log\left(x\right)}{x}"," ",0,"-(b*e*n*r*log(x)^2 + b*d*n + a*d + (2*b*e*n + a*e)*r + (b*e*r + b*d)*log(c) + (b*e*n + b*e*log(c) + a*e)*log(f) + (b*e*r*log(c) + b*e*n*log(f) + b*d*n + (2*b*e*n + a*e)*r)*log(x))/x","A",0
161,1,95,0,0.854329," ","integrate((a+b*log(c*x^n))*(d+e*log(f*x^r))/x^3,x, algorithm=""fricas"")","-\frac{2 \, b e n r \log\left(x\right)^{2} + b d n + 2 \, a d + {\left(b e n + a e\right)} r + {\left(b e r + 2 \, b d\right)} \log\left(c\right) + {\left(b e n + 2 \, b e \log\left(c\right) + 2 \, a e\right)} \log\left(f\right) + 2 \, {\left(b e r \log\left(c\right) + b e n \log\left(f\right) + b d n + {\left(b e n + a e\right)} r\right)} \log\left(x\right)}{4 \, x^{2}}"," ",0,"-1/4*(2*b*e*n*r*log(x)^2 + b*d*n + 2*a*d + (b*e*n + a*e)*r + (b*e*r + 2*b*d)*log(c) + (b*e*n + 2*b*e*log(c) + 2*a*e)*log(f) + 2*(b*e*r*log(c) + b*e*n*log(f) + b*d*n + (b*e*n + a*e)*r)*log(x))/x^2","A",0
162,1,105,0,0.872689," ","integrate((a+b*log(c*x^n))*(d+e*log(f*x^r))/x^4,x, algorithm=""fricas"")","-\frac{9 \, b e n r \log\left(x\right)^{2} + 3 \, b d n + 9 \, a d + {\left(2 \, b e n + 3 \, a e\right)} r + 3 \, {\left(b e r + 3 \, b d\right)} \log\left(c\right) + 3 \, {\left(b e n + 3 \, b e \log\left(c\right) + 3 \, a e\right)} \log\left(f\right) + 3 \, {\left(3 \, b e r \log\left(c\right) + 3 \, b e n \log\left(f\right) + 3 \, b d n + {\left(2 \, b e n + 3 \, a e\right)} r\right)} \log\left(x\right)}{27 \, x^{3}}"," ",0,"-1/27*(9*b*e*n*r*log(x)^2 + 3*b*d*n + 9*a*d + (2*b*e*n + 3*a*e)*r + 3*(b*e*r + 3*b*d)*log(c) + 3*(b*e*n + 3*b*e*log(c) + 3*a*e)*log(f) + 3*(3*b*e*r*log(c) + 3*b*e*n*log(f) + 3*b*d*n + (2*b*e*n + 3*a*e)*r)*log(x))/x^3","A",0
163,1,388,0,0.947453," ","integrate(x^2*(a+b*log(c*x^n))^2*(d+e*log(f*x^r)),x, algorithm=""fricas"")","\frac{1}{3} \, b^{2} e n^{2} r x^{3} \log\left(x\right)^{3} - \frac{1}{9} \, {\left(b^{2} e r - 3 \, b^{2} d\right)} x^{3} \log\left(c\right)^{2} - \frac{2}{27} \, {\left(3 \, b^{2} d n - 9 \, a b d - {\left(2 \, b^{2} e n - 3 \, a b e\right)} r\right)} x^{3} \log\left(c\right) + \frac{1}{27} \, {\left(2 \, b^{2} d n^{2} - 6 \, a b d n + 9 \, a^{2} d - {\left(2 \, b^{2} e n^{2} - 4 \, a b e n + 3 \, a^{2} e\right)} r\right)} x^{3} + \frac{1}{3} \, {\left(2 \, b^{2} e n r x^{3} \log\left(c\right) + b^{2} e n^{2} x^{3} \log\left(f\right) + {\left(b^{2} d n^{2} - {\left(b^{2} e n^{2} - 2 \, a b e n\right)} r\right)} x^{3}\right)} \log\left(x\right)^{2} + \frac{1}{27} \, {\left(9 \, b^{2} e x^{3} \log\left(c\right)^{2} - 6 \, {\left(b^{2} e n - 3 \, a b e\right)} x^{3} \log\left(c\right) + {\left(2 \, b^{2} e n^{2} - 6 \, a b e n + 9 \, a^{2} e\right)} x^{3}\right)} \log\left(f\right) + \frac{1}{9} \, {\left(3 \, b^{2} e r x^{3} \log\left(c\right)^{2} + 2 \, {\left(3 \, b^{2} d n - {\left(2 \, b^{2} e n - 3 \, a b e\right)} r\right)} x^{3} \log\left(c\right) - {\left(2 \, b^{2} d n^{2} - 6 \, a b d n - {\left(2 \, b^{2} e n^{2} - 4 \, a b e n + 3 \, a^{2} e\right)} r\right)} x^{3} + 2 \, {\left(3 \, b^{2} e n x^{3} \log\left(c\right) - {\left(b^{2} e n^{2} - 3 \, a b e n\right)} x^{3}\right)} \log\left(f\right)\right)} \log\left(x\right)"," ",0,"1/3*b^2*e*n^2*r*x^3*log(x)^3 - 1/9*(b^2*e*r - 3*b^2*d)*x^3*log(c)^2 - 2/27*(3*b^2*d*n - 9*a*b*d - (2*b^2*e*n - 3*a*b*e)*r)*x^3*log(c) + 1/27*(2*b^2*d*n^2 - 6*a*b*d*n + 9*a^2*d - (2*b^2*e*n^2 - 4*a*b*e*n + 3*a^2*e)*r)*x^3 + 1/3*(2*b^2*e*n*r*x^3*log(c) + b^2*e*n^2*x^3*log(f) + (b^2*d*n^2 - (b^2*e*n^2 - 2*a*b*e*n)*r)*x^3)*log(x)^2 + 1/27*(9*b^2*e*x^3*log(c)^2 - 6*(b^2*e*n - 3*a*b*e)*x^3*log(c) + (2*b^2*e*n^2 - 6*a*b*e*n + 9*a^2*e)*x^3)*log(f) + 1/9*(3*b^2*e*r*x^3*log(c)^2 + 2*(3*b^2*d*n - (2*b^2*e*n - 3*a*b*e)*r)*x^3*log(c) - (2*b^2*d*n^2 - 6*a*b*d*n - (2*b^2*e*n^2 - 4*a*b*e*n + 3*a^2*e)*r)*x^3 + 2*(3*b^2*e*n*x^3*log(c) - (b^2*e*n^2 - 3*a*b*e*n)*x^3)*log(f))*log(x)","B",0
164,1,386,0,0.983680," ","integrate(x*(a+b*log(c*x^n))^2*(d+e*log(f*x^r)),x, algorithm=""fricas"")","\frac{1}{2} \, b^{2} e n^{2} r x^{2} \log\left(x\right)^{3} - \frac{1}{4} \, {\left(b^{2} e r - 2 \, b^{2} d\right)} x^{2} \log\left(c\right)^{2} - \frac{1}{2} \, {\left(b^{2} d n - 2 \, a b d - {\left(b^{2} e n - a b e\right)} r\right)} x^{2} \log\left(c\right) + \frac{1}{8} \, {\left(2 \, b^{2} d n^{2} - 4 \, a b d n + 4 \, a^{2} d - {\left(3 \, b^{2} e n^{2} - 4 \, a b e n + 2 \, a^{2} e\right)} r\right)} x^{2} + \frac{1}{4} \, {\left(4 \, b^{2} e n r x^{2} \log\left(c\right) + 2 \, b^{2} e n^{2} x^{2} \log\left(f\right) + {\left(2 \, b^{2} d n^{2} - {\left(3 \, b^{2} e n^{2} - 4 \, a b e n\right)} r\right)} x^{2}\right)} \log\left(x\right)^{2} + \frac{1}{4} \, {\left(2 \, b^{2} e x^{2} \log\left(c\right)^{2} - 2 \, {\left(b^{2} e n - 2 \, a b e\right)} x^{2} \log\left(c\right) + {\left(b^{2} e n^{2} - 2 \, a b e n + 2 \, a^{2} e\right)} x^{2}\right)} \log\left(f\right) + \frac{1}{4} \, {\left(2 \, b^{2} e r x^{2} \log\left(c\right)^{2} + 4 \, {\left(b^{2} d n - {\left(b^{2} e n - a b e\right)} r\right)} x^{2} \log\left(c\right) - {\left(2 \, b^{2} d n^{2} - 4 \, a b d n - {\left(3 \, b^{2} e n^{2} - 4 \, a b e n + 2 \, a^{2} e\right)} r\right)} x^{2} + 2 \, {\left(2 \, b^{2} e n x^{2} \log\left(c\right) - {\left(b^{2} e n^{2} - 2 \, a b e n\right)} x^{2}\right)} \log\left(f\right)\right)} \log\left(x\right)"," ",0,"1/2*b^2*e*n^2*r*x^2*log(x)^3 - 1/4*(b^2*e*r - 2*b^2*d)*x^2*log(c)^2 - 1/2*(b^2*d*n - 2*a*b*d - (b^2*e*n - a*b*e)*r)*x^2*log(c) + 1/8*(2*b^2*d*n^2 - 4*a*b*d*n + 4*a^2*d - (3*b^2*e*n^2 - 4*a*b*e*n + 2*a^2*e)*r)*x^2 + 1/4*(4*b^2*e*n*r*x^2*log(c) + 2*b^2*e*n^2*x^2*log(f) + (2*b^2*d*n^2 - (3*b^2*e*n^2 - 4*a*b*e*n)*r)*x^2)*log(x)^2 + 1/4*(2*b^2*e*x^2*log(c)^2 - 2*(b^2*e*n - 2*a*b*e)*x^2*log(c) + (b^2*e*n^2 - 2*a*b*e*n + 2*a^2*e)*x^2)*log(f) + 1/4*(2*b^2*e*r*x^2*log(c)^2 + 4*(b^2*d*n - (b^2*e*n - a*b*e)*r)*x^2*log(c) - (2*b^2*d*n^2 - 4*a*b*d*n - (3*b^2*e*n^2 - 4*a*b*e*n + 2*a^2*e)*r)*x^2 + 2*(2*b^2*e*n*x^2*log(c) - (b^2*e*n^2 - 2*a*b*e*n)*x^2)*log(f))*log(x)","B",0
165,1,345,0,1.011770," ","integrate((a+b*log(c*x^n))^2*(d+e*log(f*x^r)),x, algorithm=""fricas"")","b^{2} e n^{2} r x \log\left(x\right)^{3} - {\left(b^{2} e r - b^{2} d\right)} x \log\left(c\right)^{2} - 2 \, {\left(b^{2} d n - a b d - {\left(2 \, b^{2} e n - a b e\right)} r\right)} x \log\left(c\right) + {\left(2 \, b^{2} e n r x \log\left(c\right) + b^{2} e n^{2} x \log\left(f\right) + {\left(b^{2} d n^{2} - {\left(3 \, b^{2} e n^{2} - 2 \, a b e n\right)} r\right)} x\right)} \log\left(x\right)^{2} + {\left(2 \, b^{2} d n^{2} - 2 \, a b d n + a^{2} d - {\left(6 \, b^{2} e n^{2} - 4 \, a b e n + a^{2} e\right)} r\right)} x + {\left(b^{2} e x \log\left(c\right)^{2} - 2 \, {\left(b^{2} e n - a b e\right)} x \log\left(c\right) + {\left(2 \, b^{2} e n^{2} - 2 \, a b e n + a^{2} e\right)} x\right)} \log\left(f\right) + {\left(b^{2} e r x \log\left(c\right)^{2} + 2 \, {\left(b^{2} d n - {\left(2 \, b^{2} e n - a b e\right)} r\right)} x \log\left(c\right) - {\left(2 \, b^{2} d n^{2} - 2 \, a b d n - {\left(6 \, b^{2} e n^{2} - 4 \, a b e n + a^{2} e\right)} r\right)} x + 2 \, {\left(b^{2} e n x \log\left(c\right) - {\left(b^{2} e n^{2} - a b e n\right)} x\right)} \log\left(f\right)\right)} \log\left(x\right)"," ",0,"b^2*e*n^2*r*x*log(x)^3 - (b^2*e*r - b^2*d)*x*log(c)^2 - 2*(b^2*d*n - a*b*d - (2*b^2*e*n - a*b*e)*r)*x*log(c) + (2*b^2*e*n*r*x*log(c) + b^2*e*n^2*x*log(f) + (b^2*d*n^2 - (3*b^2*e*n^2 - 2*a*b*e*n)*r)*x)*log(x)^2 + (2*b^2*d*n^2 - 2*a*b*d*n + a^2*d - (6*b^2*e*n^2 - 4*a*b*e*n + a^2*e)*r)*x + (b^2*e*x*log(c)^2 - 2*(b^2*e*n - a*b*e)*x*log(c) + (2*b^2*e*n^2 - 2*a*b*e*n + a^2*e)*x)*log(f) + (b^2*e*r*x*log(c)^2 + 2*(b^2*d*n - (2*b^2*e*n - a*b*e)*r)*x*log(c) - (2*b^2*d*n^2 - 2*a*b*d*n - (6*b^2*e*n^2 - 4*a*b*e*n + a^2*e)*r)*x + 2*(b^2*e*n*x*log(c) - (b^2*e*n^2 - a*b*e*n)*x)*log(f))*log(x)","B",0
166,1,170,0,1.160212," ","integrate((a+b*log(c*x^n))^2*(d+e*log(f*x^r))/x,x, algorithm=""fricas"")","\frac{1}{4} \, b^{2} e n^{2} r \log\left(x\right)^{4} + \frac{1}{3} \, {\left(2 \, b^{2} e n r \log\left(c\right) + b^{2} e n^{2} \log\left(f\right) + b^{2} d n^{2} + 2 \, a b e n r\right)} \log\left(x\right)^{3} + \frac{1}{2} \, {\left(b^{2} e r \log\left(c\right)^{2} + 2 \, a b d n + a^{2} e r + 2 \, {\left(b^{2} d n + a b e r\right)} \log\left(c\right) + 2 \, {\left(b^{2} e n \log\left(c\right) + a b e n\right)} \log\left(f\right)\right)} \log\left(x\right)^{2} + {\left(b^{2} d \log\left(c\right)^{2} + 2 \, a b d \log\left(c\right) + a^{2} d + {\left(b^{2} e \log\left(c\right)^{2} + 2 \, a b e \log\left(c\right) + a^{2} e\right)} \log\left(f\right)\right)} \log\left(x\right)"," ",0,"1/4*b^2*e*n^2*r*log(x)^4 + 1/3*(2*b^2*e*n*r*log(c) + b^2*e*n^2*log(f) + b^2*d*n^2 + 2*a*b*e*n*r)*log(x)^3 + 1/2*(b^2*e*r*log(c)^2 + 2*a*b*d*n + a^2*e*r + 2*(b^2*d*n + a*b*e*r)*log(c) + 2*(b^2*e*n*log(c) + a*b*e*n)*log(f))*log(x)^2 + (b^2*d*log(c)^2 + 2*a*b*d*log(c) + a^2*d + (b^2*e*log(c)^2 + 2*a*b*e*log(c) + a^2*e)*log(f))*log(x)","B",0
167,1,311,0,1.134596," ","integrate((a+b*log(c*x^n))^2*(d+e*log(f*x^r))/x^2,x, algorithm=""fricas"")","-\frac{b^{2} e n^{2} r \log\left(x\right)^{3} + 2 \, b^{2} d n^{2} + 2 \, a b d n + a^{2} d + {\left(b^{2} e r + b^{2} d\right)} \log\left(c\right)^{2} + {\left(2 \, b^{2} e n r \log\left(c\right) + b^{2} e n^{2} \log\left(f\right) + b^{2} d n^{2} + {\left(3 \, b^{2} e n^{2} + 2 \, a b e n\right)} r\right)} \log\left(x\right)^{2} + {\left(6 \, b^{2} e n^{2} + 4 \, a b e n + a^{2} e\right)} r + 2 \, {\left(b^{2} d n + a b d + {\left(2 \, b^{2} e n + a b e\right)} r\right)} \log\left(c\right) + {\left(2 \, b^{2} e n^{2} + b^{2} e \log\left(c\right)^{2} + 2 \, a b e n + a^{2} e + 2 \, {\left(b^{2} e n + a b e\right)} \log\left(c\right)\right)} \log\left(f\right) + {\left(b^{2} e r \log\left(c\right)^{2} + 2 \, b^{2} d n^{2} + 2 \, a b d n + {\left(6 \, b^{2} e n^{2} + 4 \, a b e n + a^{2} e\right)} r + 2 \, {\left(b^{2} d n + {\left(2 \, b^{2} e n + a b e\right)} r\right)} \log\left(c\right) + 2 \, {\left(b^{2} e n^{2} + b^{2} e n \log\left(c\right) + a b e n\right)} \log\left(f\right)\right)} \log\left(x\right)}{x}"," ",0,"-(b^2*e*n^2*r*log(x)^3 + 2*b^2*d*n^2 + 2*a*b*d*n + a^2*d + (b^2*e*r + b^2*d)*log(c)^2 + (2*b^2*e*n*r*log(c) + b^2*e*n^2*log(f) + b^2*d*n^2 + (3*b^2*e*n^2 + 2*a*b*e*n)*r)*log(x)^2 + (6*b^2*e*n^2 + 4*a*b*e*n + a^2*e)*r + 2*(b^2*d*n + a*b*d + (2*b^2*e*n + a*b*e)*r)*log(c) + (2*b^2*e*n^2 + b^2*e*log(c)^2 + 2*a*b*e*n + a^2*e + 2*(b^2*e*n + a*b*e)*log(c))*log(f) + (b^2*e*r*log(c)^2 + 2*b^2*d*n^2 + 2*a*b*d*n + (6*b^2*e*n^2 + 4*a*b*e*n + a^2*e)*r + 2*(b^2*d*n + (2*b^2*e*n + a*b*e)*r)*log(c) + 2*(b^2*e*n^2 + b^2*e*n*log(c) + a*b*e*n)*log(f))*log(x))/x","A",0
168,1,326,0,0.965479," ","integrate((a+b*log(c*x^n))^2*(d+e*log(f*x^r))/x^3,x, algorithm=""fricas"")","-\frac{4 \, b^{2} e n^{2} r \log\left(x\right)^{3} + 2 \, b^{2} d n^{2} + 4 \, a b d n + 4 \, a^{2} d + 2 \, {\left(b^{2} e r + 2 \, b^{2} d\right)} \log\left(c\right)^{2} + 2 \, {\left(4 \, b^{2} e n r \log\left(c\right) + 2 \, b^{2} e n^{2} \log\left(f\right) + 2 \, b^{2} d n^{2} + {\left(3 \, b^{2} e n^{2} + 4 \, a b e n\right)} r\right)} \log\left(x\right)^{2} + {\left(3 \, b^{2} e n^{2} + 4 \, a b e n + 2 \, a^{2} e\right)} r + 4 \, {\left(b^{2} d n + 2 \, a b d + {\left(b^{2} e n + a b e\right)} r\right)} \log\left(c\right) + 2 \, {\left(b^{2} e n^{2} + 2 \, b^{2} e \log\left(c\right)^{2} + 2 \, a b e n + 2 \, a^{2} e + 2 \, {\left(b^{2} e n + 2 \, a b e\right)} \log\left(c\right)\right)} \log\left(f\right) + 2 \, {\left(2 \, b^{2} e r \log\left(c\right)^{2} + 2 \, b^{2} d n^{2} + 4 \, a b d n + {\left(3 \, b^{2} e n^{2} + 4 \, a b e n + 2 \, a^{2} e\right)} r + 4 \, {\left(b^{2} d n + {\left(b^{2} e n + a b e\right)} r\right)} \log\left(c\right) + 2 \, {\left(b^{2} e n^{2} + 2 \, b^{2} e n \log\left(c\right) + 2 \, a b e n\right)} \log\left(f\right)\right)} \log\left(x\right)}{8 \, x^{2}}"," ",0,"-1/8*(4*b^2*e*n^2*r*log(x)^3 + 2*b^2*d*n^2 + 4*a*b*d*n + 4*a^2*d + 2*(b^2*e*r + 2*b^2*d)*log(c)^2 + 2*(4*b^2*e*n*r*log(c) + 2*b^2*e*n^2*log(f) + 2*b^2*d*n^2 + (3*b^2*e*n^2 + 4*a*b*e*n)*r)*log(x)^2 + (3*b^2*e*n^2 + 4*a*b*e*n + 2*a^2*e)*r + 4*(b^2*d*n + 2*a*b*d + (b^2*e*n + a*b*e)*r)*log(c) + 2*(b^2*e*n^2 + 2*b^2*e*log(c)^2 + 2*a*b*e*n + 2*a^2*e + 2*(b^2*e*n + 2*a*b*e)*log(c))*log(f) + 2*(2*b^2*e*r*log(c)^2 + 2*b^2*d*n^2 + 4*a*b*d*n + (3*b^2*e*n^2 + 4*a*b*e*n + 2*a^2*e)*r + 4*(b^2*d*n + (b^2*e*n + a*b*e)*r)*log(c) + 2*(b^2*e*n^2 + 2*b^2*e*n*log(c) + 2*a*b*e*n)*log(f))*log(x))/x^2","A",0
169,1,329,0,1.090841," ","integrate((a+b*log(c*x^n))^2*(d+e*log(f*x^r))/x^4,x, algorithm=""fricas"")","-\frac{9 \, b^{2} e n^{2} r \log\left(x\right)^{3} + 2 \, b^{2} d n^{2} + 6 \, a b d n + 9 \, a^{2} d + 3 \, {\left(b^{2} e r + 3 \, b^{2} d\right)} \log\left(c\right)^{2} + 9 \, {\left(2 \, b^{2} e n r \log\left(c\right) + b^{2} e n^{2} \log\left(f\right) + b^{2} d n^{2} + {\left(b^{2} e n^{2} + 2 \, a b e n\right)} r\right)} \log\left(x\right)^{2} + {\left(2 \, b^{2} e n^{2} + 4 \, a b e n + 3 \, a^{2} e\right)} r + 2 \, {\left(3 \, b^{2} d n + 9 \, a b d + {\left(2 \, b^{2} e n + 3 \, a b e\right)} r\right)} \log\left(c\right) + {\left(2 \, b^{2} e n^{2} + 9 \, b^{2} e \log\left(c\right)^{2} + 6 \, a b e n + 9 \, a^{2} e + 6 \, {\left(b^{2} e n + 3 \, a b e\right)} \log\left(c\right)\right)} \log\left(f\right) + 3 \, {\left(3 \, b^{2} e r \log\left(c\right)^{2} + 2 \, b^{2} d n^{2} + 6 \, a b d n + {\left(2 \, b^{2} e n^{2} + 4 \, a b e n + 3 \, a^{2} e\right)} r + 2 \, {\left(3 \, b^{2} d n + {\left(2 \, b^{2} e n + 3 \, a b e\right)} r\right)} \log\left(c\right) + 2 \, {\left(b^{2} e n^{2} + 3 \, b^{2} e n \log\left(c\right) + 3 \, a b e n\right)} \log\left(f\right)\right)} \log\left(x\right)}{27 \, x^{3}}"," ",0,"-1/27*(9*b^2*e*n^2*r*log(x)^3 + 2*b^2*d*n^2 + 6*a*b*d*n + 9*a^2*d + 3*(b^2*e*r + 3*b^2*d)*log(c)^2 + 9*(2*b^2*e*n*r*log(c) + b^2*e*n^2*log(f) + b^2*d*n^2 + (b^2*e*n^2 + 2*a*b*e*n)*r)*log(x)^2 + (2*b^2*e*n^2 + 4*a*b*e*n + 3*a^2*e)*r + 2*(3*b^2*d*n + 9*a*b*d + (2*b^2*e*n + 3*a*b*e)*r)*log(c) + (2*b^2*e*n^2 + 9*b^2*e*log(c)^2 + 6*a*b*e*n + 9*a^2*e + 6*(b^2*e*n + 3*a*b*e)*log(c))*log(f) + 3*(3*b^2*e*r*log(c)^2 + 2*b^2*d*n^2 + 6*a*b*d*n + (2*b^2*e*n^2 + 4*a*b*e*n + 3*a^2*e)*r + 2*(3*b^2*d*n + (2*b^2*e*n + 3*a*b*e)*r)*log(c) + 2*(b^2*e*n^2 + 3*b^2*e*n*log(c) + 3*a*b*e*n)*log(f))*log(x))/x^3","A",0
170,1,92,0,1.051699," ","integrate(x^2*(a+b*log(c*x^n))/(d+e*log(f*x^m)),x, algorithm=""fricas"")","\frac{{\left(b e m n x^{3} e^{\left(\frac{3 \, {\left(e \log\left(f\right) + d\right)}}{e m}\right)} + 3 \, {\left(b e m \log\left(c\right) - b e n \log\left(f\right) + a e m - b d n\right)} \operatorname{log\_integral}\left(x^{3} e^{\left(\frac{3 \, {\left(e \log\left(f\right) + d\right)}}{e m}\right)}\right)\right)} e^{\left(-\frac{3 \, {\left(e \log\left(f\right) + d\right)}}{e m}\right)}}{3 \, e^{2} m^{2}}"," ",0,"1/3*(b*e*m*n*x^3*e^(3*(e*log(f) + d)/(e*m)) + 3*(b*e*m*log(c) - b*e*n*log(f) + a*e*m - b*d*n)*log_integral(x^3*e^(3*(e*log(f) + d)/(e*m))))*e^(-3*(e*log(f) + d)/(e*m))/(e^2*m^2)","A",0
171,1,92,0,0.919318," ","integrate(x*(a+b*log(c*x^n))/(d+e*log(f*x^m)),x, algorithm=""fricas"")","\frac{{\left(b e m n x^{2} e^{\left(\frac{2 \, {\left(e \log\left(f\right) + d\right)}}{e m}\right)} + 2 \, {\left(b e m \log\left(c\right) - b e n \log\left(f\right) + a e m - b d n\right)} \operatorname{log\_integral}\left(x^{2} e^{\left(\frac{2 \, {\left(e \log\left(f\right) + d\right)}}{e m}\right)}\right)\right)} e^{\left(-\frac{2 \, {\left(e \log\left(f\right) + d\right)}}{e m}\right)}}{2 \, e^{2} m^{2}}"," ",0,"1/2*(b*e*m*n*x^2*e^(2*(e*log(f) + d)/(e*m)) + 2*(b*e*m*log(c) - b*e*n*log(f) + a*e*m - b*d*n)*log_integral(x^2*e^(2*(e*log(f) + d)/(e*m))))*e^(-2*(e*log(f) + d)/(e*m))/(e^2*m^2)","A",0
172,1,84,0,0.747213," ","integrate((a+b*log(c*x^n))/(d+e*log(f*x^m)),x, algorithm=""fricas"")","\frac{{\left(b e m n x e^{\left(\frac{e \log\left(f\right) + d}{e m}\right)} + {\left(b e m \log\left(c\right) - b e n \log\left(f\right) + a e m - b d n\right)} \operatorname{log\_integral}\left(x e^{\left(\frac{e \log\left(f\right) + d}{e m}\right)}\right)\right)} e^{\left(-\frac{e \log\left(f\right) + d}{e m}\right)}}{e^{2} m^{2}}"," ",0,"(b*e*m*n*x*e^((e*log(f) + d)/(e*m)) + (b*e*m*log(c) - b*e*n*log(f) + a*e*m - b*d*n)*log_integral(x*e^((e*log(f) + d)/(e*m))))*e^(-(e*log(f) + d)/(e*m))/(e^2*m^2)","A",0
173,1,51,0,0.845036," ","integrate((a+b*log(c*x^n))/x/(d+e*log(f*x^m)),x, algorithm=""fricas"")","\frac{b e m n \log\left(x\right) + {\left(b e m \log\left(c\right) - b e n \log\left(f\right) + a e m - b d n\right)} \log\left(e m \log\left(x\right) + e \log\left(f\right) + d\right)}{e^{2} m^{2}}"," ",0,"(b*e*m*n*log(x) + (b*e*m*log(c) - b*e*n*log(f) + a*e*m - b*d*n)*log(e*m*log(x) + e*log(f) + d))/(e^2*m^2)","A",0
174,1,81,0,0.904007," ","integrate((a+b*log(c*x^n))/x^2/(d+e*log(f*x^m)),x, algorithm=""fricas"")","-\frac{b e m n - {\left(b e m x \log\left(c\right) - b e n x \log\left(f\right) + {\left(a e m - b d n\right)} x\right)} e^{\left(\frac{e \log\left(f\right) + d}{e m}\right)} \operatorname{log\_integral}\left(\frac{e^{\left(-\frac{e \log\left(f\right) + d}{e m}\right)}}{x}\right)}{e^{2} m^{2} x}"," ",0,"-(b*e*m*n - (b*e*m*x*log(c) - b*e*n*x*log(f) + (a*e*m - b*d*n)*x)*e^((e*log(f) + d)/(e*m))*log_integral(e^(-(e*log(f) + d)/(e*m))/x))/(e^2*m^2*x)","A",0
175,1,88,0,0.648722," ","integrate((a+b*log(c*x^n))/x^3/(d+e*log(f*x^m)),x, algorithm=""fricas"")","-\frac{b e m n - 2 \, {\left(b e m x^{2} \log\left(c\right) - b e n x^{2} \log\left(f\right) + {\left(a e m - b d n\right)} x^{2}\right)} e^{\left(\frac{2 \, {\left(e \log\left(f\right) + d\right)}}{e m}\right)} \operatorname{log\_integral}\left(\frac{e^{\left(-\frac{2 \, {\left(e \log\left(f\right) + d\right)}}{e m}\right)}}{x^{2}}\right)}{2 \, e^{2} m^{2} x^{2}}"," ",0,"-1/2*(b*e*m*n - 2*(b*e*m*x^2*log(c) - b*e*n*x^2*log(f) + (a*e*m - b*d*n)*x^2)*e^(2*(e*log(f) + d)/(e*m))*log_integral(e^(-2*(e*log(f) + d)/(e*m))/x^2))/(e^2*m^2*x^2)","A",0
176,1,154,0,0.797230," ","integrate((a+b*log(c*x^n))/(d+e*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{{\left({\left(b d e - a e^{2}\right)} n x e^{\left(\frac{e \log\left(c\right) + d}{e n}\right)} + {\left(b d e n - b d^{2} + a d e + {\left(b e^{2} n - b d e + a e^{2}\right)} \log\left(c\right) + {\left(b e^{2} n^{2} - {\left(b d e - a e^{2}\right)} n\right)} \log\left(x\right)\right)} \operatorname{log\_integral}\left(x e^{\left(\frac{e \log\left(c\right) + d}{e n}\right)}\right)\right)} e^{\left(-\frac{e \log\left(c\right) + d}{e n}\right)}}{e^{4} n^{3} \log\left(x\right) + e^{4} n^{2} \log\left(c\right) + d e^{3} n^{2}}"," ",0,"((b*d*e - a*e^2)*n*x*e^((e*log(c) + d)/(e*n)) + (b*d*e*n - b*d^2 + a*d*e + (b*e^2*n - b*d*e + a*e^2)*log(c) + (b*e^2*n^2 - (b*d*e - a*e^2)*n)*log(x))*log_integral(x*e^((e*log(c) + d)/(e*n))))*e^(-(e*log(c) + d)/(e*n))/(e^4*n^3*log(x) + e^4*n^2*log(c) + d*e^3*n^2)","A",0
177,1,16,0,0.536030," ","integrate((a+b*log(c*x^n))/x/log(x),x, algorithm=""fricas"")","b n \log\left(x\right) + {\left(b \log\left(c\right) + a\right)} \log\left(\log\left(x\right)\right)"," ",0,"b*n*log(x) + (b*log(c) + a)*log(log(x))","A",0
178,0,0,0,0.750268," ","integrate((g*x)^m*(a+b*log(c*x^n))^p*(d+e*log(f*x^r)),x, algorithm=""fricas"")","{\rm integral}\left({\left(\left(g x\right)^{m} e \log\left(f x^{r}\right) + \left(g x\right)^{m} d\right)} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}, x\right)"," ",0,"integral(((g*x)^m*e*log(f*x^r) + (g*x)^m*d)*(b*log(c*x^n) + a)^p, x)","F",0
179,0,0,0,0.781903," ","integrate(x^2*(a+b*log(c*x^n))^p*(d+e*log(f*x^r)),x, algorithm=""fricas"")","{\rm integral}\left({\left(e x^{2} \log\left(f x^{r}\right) + d x^{2}\right)} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}, x\right)"," ",0,"integral((e*x^2*log(f*x^r) + d*x^2)*(b*log(c*x^n) + a)^p, x)","F",0
180,0,0,0,0.738378," ","integrate(x*(a+b*log(c*x^n))^p*(d+e*log(f*x^r)),x, algorithm=""fricas"")","{\rm integral}\left({\left(e x \log\left(f x^{r}\right) + d x\right)} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}, x\right)"," ",0,"integral((e*x*log(f*x^r) + d*x)*(b*log(c*x^n) + a)^p, x)","F",0
181,1,131,0,0.776299," ","integrate((a+b*log(c*x^n))^p*(d+e*log(f*x^r)),x, algorithm=""fricas"")","-\frac{{\left(b e r \log\left(c\right) - b e n \log\left(f\right) - b d n + {\left(b e n p + b e n + a e\right)} r\right)} e^{\left(-\frac{b n p \log\left(-\frac{1}{b n}\right) + b \log\left(c\right) + a}{b n}\right)} \Gamma\left(p + 1, -\frac{b n \log\left(x\right) + b \log\left(c\right) + a}{b n}\right) - {\left(b e n r x \log\left(x\right) + b e r x \log\left(c\right) + a e r x\right)} {\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}^{p}}{b n}"," ",0,"-((b*e*r*log(c) - b*e*n*log(f) - b*d*n + (b*e*n*p + b*e*n + a*e)*r)*e^(-(b*n*p*log(-1/(b*n)) + b*log(c) + a)/(b*n))*gamma(p + 1, -(b*n*log(x) + b*log(c) + a)/(b*n)) - (b*e*n*r*x*log(x) + b*e*r*x*log(c) + a*e*r*x)*(b*n*log(x) + b*log(c) + a)^p)/(b*n)","A",0
182,1,222,0,0.835948," ","integrate((a+b*log(c*x^n))^p*(d+e*log(f*x^r))/x,x, algorithm=""fricas"")","-\frac{{\left(b^{2} e r \log\left(c\right)^{2} - a b d n p - 2 \, a b d n + a^{2} e r - {\left(b^{2} e n^{2} p + b^{2} e n^{2}\right)} r \log\left(x\right)^{2} - {\left(b^{2} d n p + 2 \, b^{2} d n - 2 \, a b e r\right)} \log\left(c\right) - {\left(a b e n p + 2 \, a b e n + {\left(b^{2} e n p + 2 \, b^{2} e n\right)} \log\left(c\right)\right)} \log\left(f\right) - {\left(b^{2} e n p r \log\left(c\right) + b^{2} d n^{2} p + a b e n p r + 2 \, b^{2} d n^{2} + {\left(b^{2} e n^{2} p + 2 \, b^{2} e n^{2}\right)} \log\left(f\right)\right)} \log\left(x\right)\right)} {\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}^{p}}{b^{2} n^{2} p^{2} + 3 \, b^{2} n^{2} p + 2 \, b^{2} n^{2}}"," ",0,"-(b^2*e*r*log(c)^2 - a*b*d*n*p - 2*a*b*d*n + a^2*e*r - (b^2*e*n^2*p + b^2*e*n^2)*r*log(x)^2 - (b^2*d*n*p + 2*b^2*d*n - 2*a*b*e*r)*log(c) - (a*b*e*n*p + 2*a*b*e*n + (b^2*e*n*p + 2*b^2*e*n)*log(c))*log(f) - (b^2*e*n*p*r*log(c) + b^2*d*n^2*p + a*b*e*n*p*r + 2*b^2*d*n^2 + (b^2*e*n^2*p + 2*b^2*e*n^2)*log(f))*log(x))*(b*n*log(x) + b*log(c) + a)^p/(b^2*n^2*p^2 + 3*b^2*n^2*p + 2*b^2*n^2)","B",0
183,0,0,0,0.770175," ","integrate((a+b*log(c*x^n))^p*(d+e*log(f*x^r))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e \log\left(f x^{r}\right) + d\right)} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}}{x^{2}}, x\right)"," ",0,"integral((e*log(f*x^r) + d)*(b*log(c*x^n) + a)^p/x^2, x)","F",0
184,0,0,0,0.665923," ","integrate((a+b*log(c*x^n))^p*(d+e*log(f*x^r))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e \log\left(f x^{r}\right) + d\right)} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}}{x^{3}}, x\right)"," ",0,"integral((e*log(f*x^r) + d)*(b*log(c*x^n) + a)^p/x^3, x)","F",0
185,0,0,0,0.839040," ","integrate((a+b*log(c*x^n))^p*(d+e*log(f*x^r))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(e \log\left(f x^{r}\right) + d\right)} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}}{x^{4}}, x\right)"," ",0,"integral((e*log(f*x^r) + d)*(b*log(c*x^n) + a)^p/x^4, x)","F",0
186,1,221,0,1.144855," ","integrate((e*x^2+d)*arcsin(a*x)*log(c*x^n),x, algorithm=""fricas"")","\frac{18 \, {\left(a^{3} e x^{3} + 3 \, a^{3} d x\right)} \arcsin\left(a x\right) \log\left(c\right) + 18 \, {\left(a^{3} e n x^{3} + 3 \, a^{3} d n x\right)} \arcsin\left(a x\right) \log\left(x\right) + 3 \, {\left(9 \, a^{2} d + 2 \, e\right)} n \log\left(\sqrt{-a^{2} x^{2} + 1} + 1\right) - 3 \, {\left(9 \, a^{2} d + 2 \, e\right)} n \log\left(\sqrt{-a^{2} x^{2} + 1} - 1\right) - 6 \, {\left(a^{3} e n x^{3} + 9 \, a^{3} d n x\right)} \arcsin\left(a x\right) - 2 \, {\left(2 \, a^{2} e n x^{2} + {\left(54 \, a^{2} d + 7 \, e\right)} n - 3 \, {\left(a^{2} e x^{2} + 9 \, a^{2} d + 2 \, e\right)} \log\left(c\right) - 3 \, {\left(a^{2} e n x^{2} + {\left(9 \, a^{2} d + 2 \, e\right)} n\right)} \log\left(x\right)\right)} \sqrt{-a^{2} x^{2} + 1}}{54 \, a^{3}}"," ",0,"1/54*(18*(a^3*e*x^3 + 3*a^3*d*x)*arcsin(a*x)*log(c) + 18*(a^3*e*n*x^3 + 3*a^3*d*n*x)*arcsin(a*x)*log(x) + 3*(9*a^2*d + 2*e)*n*log(sqrt(-a^2*x^2 + 1) + 1) - 3*(9*a^2*d + 2*e)*n*log(sqrt(-a^2*x^2 + 1) - 1) - 6*(a^3*e*n*x^3 + 9*a^3*d*n*x)*arcsin(a*x) - 2*(2*a^2*e*n*x^2 + (54*a^2*d + 7*e)*n - 3*(a^2*e*x^2 + 9*a^2*d + 2*e)*log(c) - 3*(a^2*e*n*x^2 + (9*a^2*d + 2*e)*n)*log(x))*sqrt(-a^2*x^2 + 1))/a^3","A",0
187,1,308,0,0.864453," ","integrate((e*x^2+d)*arccos(a*x)*log(c*x^n),x, algorithm=""fricas"")","\frac{18 \, {\left(a^{3} e x^{3} + 3 \, a^{3} d x - 3 \, a^{3} d - a^{3} e\right)} \arccos\left(a x\right) \log\left(c\right) + 18 \, {\left(a^{3} e n x^{3} + 3 \, a^{3} d n x\right)} \arccos\left(a x\right) \log\left(x\right) - 3 \, {\left(9 \, a^{2} d + 2 \, e\right)} n \log\left(\sqrt{-a^{2} x^{2} + 1} + 1\right) + 3 \, {\left(9 \, a^{2} d + 2 \, e\right)} n \log\left(\sqrt{-a^{2} x^{2} + 1} - 1\right) - 6 \, {\left(a^{3} e n x^{3} + 9 \, a^{3} d n x - {\left(9 \, a^{3} d + a^{3} e\right)} n\right)} \arccos\left(a x\right) - 6 \, {\left({\left(9 \, a^{3} d + a^{3} e\right)} n - 3 \, {\left(3 \, a^{3} d + a^{3} e\right)} \log\left(c\right)\right)} \arctan\left(\frac{\sqrt{-a^{2} x^{2} + 1} a x}{a^{2} x^{2} - 1}\right) + 2 \, {\left(2 \, a^{2} e n x^{2} + {\left(54 \, a^{2} d + 7 \, e\right)} n - 3 \, {\left(a^{2} e x^{2} + 9 \, a^{2} d + 2 \, e\right)} \log\left(c\right) - 3 \, {\left(a^{2} e n x^{2} + {\left(9 \, a^{2} d + 2 \, e\right)} n\right)} \log\left(x\right)\right)} \sqrt{-a^{2} x^{2} + 1}}{54 \, a^{3}}"," ",0,"1/54*(18*(a^3*e*x^3 + 3*a^3*d*x - 3*a^3*d - a^3*e)*arccos(a*x)*log(c) + 18*(a^3*e*n*x^3 + 3*a^3*d*n*x)*arccos(a*x)*log(x) - 3*(9*a^2*d + 2*e)*n*log(sqrt(-a^2*x^2 + 1) + 1) + 3*(9*a^2*d + 2*e)*n*log(sqrt(-a^2*x^2 + 1) - 1) - 6*(a^3*e*n*x^3 + 9*a^3*d*n*x - (9*a^3*d + a^3*e)*n)*arccos(a*x) - 6*((9*a^3*d + a^3*e)*n - 3*(3*a^3*d + a^3*e)*log(c))*arctan(sqrt(-a^2*x^2 + 1)*a*x/(a^2*x^2 - 1)) + 2*(2*a^2*e*n*x^2 + (54*a^2*d + 7*e)*n - 3*(a^2*e*x^2 + 9*a^2*d + 2*e)*log(c) - 3*(a^2*e*n*x^2 + (9*a^2*d + 2*e)*n)*log(x))*sqrt(-a^2*x^2 + 1))/a^3","A",0
188,0,0,0,0.653257," ","integrate((e*x^2+d)*arctan(a*x)*log(c*x^n),x, algorithm=""fricas"")","{\rm integral}\left({\left(e x^{2} + d\right)} \arctan\left(a x\right) \log\left(c x^{n}\right), x\right)"," ",0,"integral((e*x^2 + d)*arctan(a*x)*log(c*x^n), x)","F",0
189,0,0,0,0.600840," ","integrate((e*x^2+d)*arccot(a*x)*log(c*x^n),x, algorithm=""fricas"")","{\rm integral}\left({\left(e x^{2} + d\right)} \operatorname{arccot}\left(a x\right) \log\left(c x^{n}\right), x\right)"," ",0,"integral((e*x^2 + d)*arccot(a*x)*log(c*x^n), x)","F",0
190,1,307,0,1.068579," ","integrate((e*x^2+d)*arcsinh(a*x)*log(c*x^n),x, algorithm=""fricas"")","-\frac{3 \, {\left(9 \, a^{2} d - 2 \, e\right)} n \log\left(-a x + \sqrt{a^{2} x^{2} + 1} + 1\right) - 3 \, {\left(9 \, a^{2} d - 2 \, e\right)} n \log\left(-a x + \sqrt{a^{2} x^{2} + 1} - 1\right) + 3 \, {\left(a^{3} e n x^{3} + 9 \, a^{3} d n x - {\left(9 \, a^{3} d + a^{3} e\right)} n - 3 \, {\left(a^{3} e x^{3} + 3 \, a^{3} d x - 3 \, a^{3} d - a^{3} e\right)} \log\left(c\right) - 3 \, {\left(a^{3} e n x^{3} + 3 \, a^{3} d n x\right)} \log\left(x\right)\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) - 3 \, {\left({\left(9 \, a^{3} d + a^{3} e\right)} n - 3 \, {\left(3 \, a^{3} d + a^{3} e\right)} \log\left(c\right)\right)} \log\left(-a x + \sqrt{a^{2} x^{2} + 1}\right) - {\left(2 \, a^{2} e n x^{2} + {\left(54 \, a^{2} d - 7 \, e\right)} n - 3 \, {\left(a^{2} e x^{2} + 9 \, a^{2} d - 2 \, e\right)} \log\left(c\right) - 3 \, {\left(a^{2} e n x^{2} + {\left(9 \, a^{2} d - 2 \, e\right)} n\right)} \log\left(x\right)\right)} \sqrt{a^{2} x^{2} + 1}}{27 \, a^{3}}"," ",0,"-1/27*(3*(9*a^2*d - 2*e)*n*log(-a*x + sqrt(a^2*x^2 + 1) + 1) - 3*(9*a^2*d - 2*e)*n*log(-a*x + sqrt(a^2*x^2 + 1) - 1) + 3*(a^3*e*n*x^3 + 9*a^3*d*n*x - (9*a^3*d + a^3*e)*n - 3*(a^3*e*x^3 + 3*a^3*d*x - 3*a^3*d - a^3*e)*log(c) - 3*(a^3*e*n*x^3 + 3*a^3*d*n*x)*log(x))*log(a*x + sqrt(a^2*x^2 + 1)) - 3*((9*a^3*d + a^3*e)*n - 3*(3*a^3*d + a^3*e)*log(c))*log(-a*x + sqrt(a^2*x^2 + 1)) - (2*a^2*e*n*x^2 + (54*a^2*d - 7*e)*n - 3*(a^2*e*x^2 + 9*a^2*d - 2*e)*log(c) - 3*(a^2*e*n*x^2 + (9*a^2*d - 2*e)*n)*log(x))*sqrt(a^2*x^2 + 1))/a^3","A",0
191,1,275,0,1.197942," ","integrate((e*x^2+d)*arccosh(a*x)*log(c*x^n),x, algorithm=""fricas"")","-\frac{6 \, {\left(9 \, a^{2} d + 2 \, e\right)} n \arctan\left(-a x + \sqrt{a^{2} x^{2} - 1}\right) + 3 \, {\left(a^{3} e n x^{3} + 9 \, a^{3} d n x - {\left(9 \, a^{3} d + a^{3} e\right)} n - 3 \, {\left(a^{3} e x^{3} + 3 \, a^{3} d x - 3 \, a^{3} d - a^{3} e\right)} \log\left(c\right) - 3 \, {\left(a^{3} e n x^{3} + 3 \, a^{3} d n x\right)} \log\left(x\right)\right)} \log\left(a x + \sqrt{a^{2} x^{2} - 1}\right) - 3 \, {\left({\left(9 \, a^{3} d + a^{3} e\right)} n - 3 \, {\left(3 \, a^{3} d + a^{3} e\right)} \log\left(c\right)\right)} \log\left(-a x + \sqrt{a^{2} x^{2} - 1}\right) - {\left(2 \, a^{2} e n x^{2} + {\left(54 \, a^{2} d + 7 \, e\right)} n - 3 \, {\left(a^{2} e x^{2} + 9 \, a^{2} d + 2 \, e\right)} \log\left(c\right) - 3 \, {\left(a^{2} e n x^{2} + {\left(9 \, a^{2} d + 2 \, e\right)} n\right)} \log\left(x\right)\right)} \sqrt{a^{2} x^{2} - 1}}{27 \, a^{3}}"," ",0,"-1/27*(6*(9*a^2*d + 2*e)*n*arctan(-a*x + sqrt(a^2*x^2 - 1)) + 3*(a^3*e*n*x^3 + 9*a^3*d*n*x - (9*a^3*d + a^3*e)*n - 3*(a^3*e*x^3 + 3*a^3*d*x - 3*a^3*d - a^3*e)*log(c) - 3*(a^3*e*n*x^3 + 3*a^3*d*n*x)*log(x))*log(a*x + sqrt(a^2*x^2 - 1)) - 3*((9*a^3*d + a^3*e)*n - 3*(3*a^3*d + a^3*e)*log(c))*log(-a*x + sqrt(a^2*x^2 - 1)) - (2*a^2*e*n*x^2 + (54*a^2*d + 7*e)*n - 3*(a^2*e*x^2 + 9*a^2*d + 2*e)*log(c) - 3*(a^2*e*n*x^2 + (9*a^2*d + 2*e)*n)*log(x))*sqrt(a^2*x^2 - 1))/a^3","A",0
192,0,0,0,0.730568," ","integrate((e*x^2+d)*arctanh(a*x)*log(c*x^n),x, algorithm=""fricas"")","{\rm integral}\left({\left(e x^{2} + d\right)} \operatorname{artanh}\left(a x\right) \log\left(c x^{n}\right), x\right)"," ",0,"integral((e*x^2 + d)*arctanh(a*x)*log(c*x^n), x)","F",0
193,0,0,0,0.792778," ","integrate((e*x^2+d)*arccoth(a*x)*log(c*x^n),x, algorithm=""fricas"")","{\rm integral}\left({\left(e x^{2} + d\right)} \operatorname{arcoth}\left(a x\right) \log\left(c x^{n}\right), x\right)"," ",0,"integral((e*x^2 + d)*arccoth(a*x)*log(c*x^n), x)","F",0
194,0,0,0,0.856289," ","integrate((e*x^2+d)*arcsin(a*x)^2*log(c*x^n),x, algorithm=""fricas"")","{\rm integral}\left({\left(e x^{2} + d\right)} \arcsin\left(a x\right)^{2} \log\left(c x^{n}\right), x\right)"," ",0,"integral((e*x^2 + d)*arcsin(a*x)^2*log(c*x^n), x)","F",0
195,0,0,0,0.786869," ","integrate((e*x^2+d)*arccos(a*x)^2*log(c*x^n),x, algorithm=""fricas"")","{\rm integral}\left({\left(e x^{2} + d\right)} \arccos\left(a x\right)^{2} \log\left(c x^{n}\right), x\right)"," ",0,"integral((e*x^2 + d)*arccos(a*x)^2*log(c*x^n), x)","F",0
196,0,0,0,0.701201," ","integrate((e*x^2+d)*arcsinh(a*x)^2*log(c*x^n),x, algorithm=""fricas"")","{\rm integral}\left({\left(e x^{2} + d\right)} \operatorname{arsinh}\left(a x\right)^{2} \log\left(c x^{n}\right), x\right)"," ",0,"integral((e*x^2 + d)*arcsinh(a*x)^2*log(c*x^n), x)","F",0
197,0,0,0,0.789513," ","integrate((e*x^2+d)*arccosh(a*x)^2*log(c*x^n),x, algorithm=""fricas"")","{\rm integral}\left({\left(e x^{2} + d\right)} \operatorname{arcosh}\left(a x\right)^{2} \log\left(c x^{n}\right), x\right)"," ",0,"integral((e*x^2 + d)*arccosh(a*x)^2*log(c*x^n), x)","F",0
198,0,0,0,0.693485," ","integrate((a+b*log(c*x^n))^p*polylog(k,e*x^q)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{p} {\rm polylog}\left(k, e x^{q}\right)}{x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)^p*polylog(k, e*x^q)/x, x)","F",0
199,0,0,0,0.589761," ","integrate((a+b*log(c*x^n))^3*polylog(k,e*x^q)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{3} \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b \log\left(c x^{n}\right) + a^{3}\right)} {\rm polylog}\left(k, e x^{q}\right)}{x}, x\right)"," ",0,"integral((b^3*log(c*x^n)^3 + 3*a*b^2*log(c*x^n)^2 + 3*a^2*b*log(c*x^n) + a^3)*polylog(k, e*x^q)/x, x)","F",0
200,0,0,0,0.577293," ","integrate((a+b*log(c*x^n))^2*polylog(k,e*x^q)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}\right)} {\rm polylog}\left(k, e x^{q}\right)}{x}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)*polylog(k, e*x^q)/x, x)","F",0
201,0,0,0,0.564458," ","integrate((a+b*log(c*x^n))*polylog(k,e*x^q)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(c x^{n}\right) + a\right)} {\rm polylog}\left(k, e x^{q}\right)}{x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*polylog(k, e*x^q)/x, x)","F",0
202,0,0,0,0.511708," ","integrate(polylog(k,e*x^q)/x/(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(k, e x^{q}\right)}{b x \log\left(c x^{n}\right) + a x}, x\right)"," ",0,"integral(polylog(k, e*x^q)/(b*x*log(c*x^n) + a*x), x)","F",0
203,0,0,0,0.608760," ","integrate(polylog(k,e*x^q)/x/(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(k, e x^{q}\right)}{b^{2} x \log\left(c x^{n}\right)^{2} + 2 \, a b x \log\left(c x^{n}\right) + a^{2} x}, x\right)"," ",0,"integral(polylog(k, e*x^q)/(b^2*x*log(c*x^n)^2 + 2*a*b*x*log(c*x^n) + a^2*x), x)","F",0
204,0,0,0,0.612338," ","integrate(polylog(k,e*x^q)/x/(a+b*log(c*x^n))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(k, e x^{q}\right)}{b^{3} x \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} x \log\left(c x^{n}\right)^{2} + 3 \, a^{2} b x \log\left(c x^{n}\right) + a^{3} x}, x\right)"," ",0,"integral(polylog(k, e*x^q)/(b^3*x*log(c*x^n)^3 + 3*a*b^2*x*log(c*x^n)^2 + 3*a^2*b*x*log(c*x^n) + a^3*x), x)","F",0
205,0,0,0,0.778332," ","integrate(log(x)*polylog(n,a*x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(x\right) {\rm polylog}\left(n, a x\right)}{x}, x\right)"," ",0,"integral(log(x)*polylog(n, a*x)/x, x)","F",0
206,0,0,0,0.664563," ","integrate(log(x)^2*polylog(n,a*x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(x\right)^{2} {\rm polylog}\left(n, a x\right)}{x}, x\right)"," ",0,"integral(log(x)^2*polylog(n, a*x)/x, x)","F",0
207,0,0,0,0.701103," ","integrate(q*polylog(-1+k,e*x^q)/b/n/x/(a+b*log(c*x^n))-polylog(k,e*x^q)/x/(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b n {\rm polylog}\left(k, e x^{q}\right) - {\left(b q \log\left(c x^{n}\right) + a q\right)} {\rm polylog}\left(k - 1, e x^{q}\right)}{b^{3} n x \log\left(c x^{n}\right)^{2} + 2 \, a b^{2} n x \log\left(c x^{n}\right) + a^{2} b n x}, x\right)"," ",0,"integral(-(b*n*polylog(k, e*x^q) - (b*q*log(c*x^n) + a*q)*polylog(k - 1, e*x^q))/(b^3*n*x*log(c*x^n)^2 + 2*a*b^2*n*x*log(c*x^n) + a^2*b*n*x), x)","F",0
208,1,247,0,0.907465," ","integrate(x^2*(a+b*log(c*x^n))*polylog(2,e*x),x, algorithm=""fricas"")","\frac{4 \, {\left(b e^{3} n - a e^{3}\right)} x^{3} + {\left(7 \, b e^{2} n - 6 \, a e^{2}\right)} x^{2} + 4 \, {\left(5 \, b e n - 3 \, a e\right)} x - 12 \, {\left({\left(b e^{3} n - 3 \, a e^{3}\right)} x^{3} + b n\right)} {\rm Li}_2\left(e x\right) - 4 \, {\left({\left(2 \, b e^{3} n - 3 \, a e^{3}\right)} x^{3} - 2 \, b n + 3 \, a\right)} \log\left(-e x + 1\right) + 2 \, {\left(18 \, b e^{3} x^{3} {\rm Li}_2\left(e x\right) - 2 \, b e^{3} x^{3} - 3 \, b e^{2} x^{2} - 6 \, b e x + 6 \, {\left(b e^{3} x^{3} - b\right)} \log\left(-e x + 1\right)\right)} \log\left(c\right) + 2 \, {\left(18 \, b e^{3} n x^{3} {\rm Li}_2\left(e x\right) - 2 \, b e^{3} n x^{3} - 3 \, b e^{2} n x^{2} - 6 \, b e n x + 6 \, {\left(b e^{3} n x^{3} - b n\right)} \log\left(-e x + 1\right)\right)} \log\left(x\right)}{108 \, e^{3}}"," ",0,"1/108*(4*(b*e^3*n - a*e^3)*x^3 + (7*b*e^2*n - 6*a*e^2)*x^2 + 4*(5*b*e*n - 3*a*e)*x - 12*((b*e^3*n - 3*a*e^3)*x^3 + b*n)*dilog(e*x) - 4*((2*b*e^3*n - 3*a*e^3)*x^3 - 2*b*n + 3*a)*log(-e*x + 1) + 2*(18*b*e^3*x^3*dilog(e*x) - 2*b*e^3*x^3 - 3*b*e^2*x^2 - 6*b*e*x + 6*(b*e^3*x^3 - b)*log(-e*x + 1))*log(c) + 2*(18*b*e^3*n*x^3*dilog(e*x) - 2*b*e^3*n*x^3 - 3*b*e^2*n*x^2 - 6*b*e*n*x + 6*(b*e^3*n*x^3 - b*n)*log(-e*x + 1))*log(x))/e^3","A",0
209,1,207,0,0.940152," ","integrate(x*(a+b*log(c*x^n))*polylog(2,e*x),x, algorithm=""fricas"")","\frac{{\left(3 \, b e^{2} n - 2 \, a e^{2}\right)} x^{2} + 4 \, {\left(2 \, b e n - a e\right)} x - 4 \, {\left({\left(b e^{2} n - 2 \, a e^{2}\right)} x^{2} + b n\right)} {\rm Li}_2\left(e x\right) - 4 \, {\left({\left(b e^{2} n - a e^{2}\right)} x^{2} - b n + a\right)} \log\left(-e x + 1\right) + 2 \, {\left(4 \, b e^{2} x^{2} {\rm Li}_2\left(e x\right) - b e^{2} x^{2} - 2 \, b e x + 2 \, {\left(b e^{2} x^{2} - b\right)} \log\left(-e x + 1\right)\right)} \log\left(c\right) + 2 \, {\left(4 \, b e^{2} n x^{2} {\rm Li}_2\left(e x\right) - b e^{2} n x^{2} - 2 \, b e n x + 2 \, {\left(b e^{2} n x^{2} - b n\right)} \log\left(-e x + 1\right)\right)} \log\left(x\right)}{16 \, e^{2}}"," ",0,"1/16*((3*b*e^2*n - 2*a*e^2)*x^2 + 4*(2*b*e*n - a*e)*x - 4*((b*e^2*n - 2*a*e^2)*x^2 + b*n)*dilog(e*x) - 4*((b*e^2*n - a*e^2)*x^2 - b*n + a)*log(-e*x + 1) + 2*(4*b*e^2*x^2*dilog(e*x) - b*e^2*x^2 - 2*b*e*x + 2*(b*e^2*x^2 - b)*log(-e*x + 1))*log(c) + 2*(4*b*e^2*n*x^2*dilog(e*x) - b*e^2*n*x^2 - 2*b*e*n*x + 2*(b*e^2*n*x^2 - b*n)*log(-e*x + 1))*log(x))/e^2","A",0
210,1,137,0,0.794270," ","integrate((a+b*log(c*x^n))*polylog(2,e*x),x, algorithm=""fricas"")","\frac{{\left(3 \, b e n - a e\right)} x - {\left(b n + {\left(b e n - a e\right)} x\right)} {\rm Li}_2\left(e x\right) + {\left(2 \, b n - {\left(2 \, b e n - a e\right)} x - a\right)} \log\left(-e x + 1\right) + {\left(b e x {\rm Li}_2\left(e x\right) - b e x + {\left(b e x - b\right)} \log\left(-e x + 1\right)\right)} \log\left(c\right) + {\left(b e n x {\rm Li}_2\left(e x\right) - b e n x + {\left(b e n x - b n\right)} \log\left(-e x + 1\right)\right)} \log\left(x\right)}{e}"," ",0,"((3*b*e*n - a*e)*x - (b*n + (b*e*n - a*e)*x)*dilog(e*x) + (2*b*n - (2*b*e*n - a*e)*x - a)*log(-e*x + 1) + (b*e*x*dilog(e*x) - b*e*x + (b*e*x - b)*log(-e*x + 1))*log(c) + (b*e*n*x*dilog(e*x) - b*e*n*x + (b*e*n*x - b*n)*log(-e*x + 1))*log(x))/e","A",0
211,0,0,0,0.678675," ","integrate((a+b*log(c*x^n))*polylog(2,e*x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b {\rm Li}_2\left(e x\right) \log\left(c x^{n}\right) + a {\rm Li}_2\left(e x\right)}{x}, x\right)"," ",0,"integral((b*dilog(e*x)*log(c*x^n) + a*dilog(e*x))/x, x)","F",0
212,1,134,0,0.693806," ","integrate((a+b*log(c*x^n))*polylog(2,e*x)/x^2,x, algorithm=""fricas"")","\frac{b e n x \log\left(x\right)^{2} - 2 \, {\left(b e n x + b n + a\right)} {\rm Li}_2\left(e x\right) + 2 \, {\left(2 \, b n - {\left(2 \, b e n + a e\right)} x + a\right)} \log\left(-e x + 1\right) - 2 \, {\left(b {\rm Li}_2\left(e x\right) + {\left(b e x - b\right)} \log\left(-e x + 1\right)\right)} \log\left(c\right) + 2 \, {\left(b e x \log\left(c\right) - b n {\rm Li}_2\left(e x\right) + {\left(2 \, b e n + a e\right)} x - {\left(b e n x - b n\right)} \log\left(-e x + 1\right)\right)} \log\left(x\right)}{2 \, x}"," ",0,"1/2*(b*e*n*x*log(x)^2 - 2*(b*e*n*x + b*n + a)*dilog(e*x) + 2*(2*b*n - (2*b*e*n + a*e)*x + a)*log(-e*x + 1) - 2*(b*dilog(e*x) + (b*e*x - b)*log(-e*x + 1))*log(c) + 2*(b*e*x*log(c) - b*n*dilog(e*x) + (2*b*e*n + a*e)*x - (b*e*n*x - b*n)*log(-e*x + 1))*log(x))/x","A",0
213,1,190,0,0.631166," ","integrate((a+b*log(c*x^n))*polylog(2,e*x)/x^3,x, algorithm=""fricas"")","\frac{b e^{2} n x^{2} \log\left(x\right)^{2} - 2 \, {\left(2 \, b e n + a e\right)} x - 2 \, {\left(b e^{2} n x^{2} + b n + 2 \, a\right)} {\rm Li}_2\left(e x\right) - 2 \, {\left({\left(b e^{2} n + a e^{2}\right)} x^{2} - b n - a\right)} \log\left(-e x + 1\right) - 2 \, {\left(b e x + 2 \, b {\rm Li}_2\left(e x\right) + {\left(b e^{2} x^{2} - b\right)} \log\left(-e x + 1\right)\right)} \log\left(c\right) + 2 \, {\left(b e^{2} x^{2} \log\left(c\right) - b e n x + {\left(b e^{2} n + a e^{2}\right)} x^{2} - 2 \, b n {\rm Li}_2\left(e x\right) - {\left(b e^{2} n x^{2} - b n\right)} \log\left(-e x + 1\right)\right)} \log\left(x\right)}{8 \, x^{2}}"," ",0,"1/8*(b*e^2*n*x^2*log(x)^2 - 2*(2*b*e*n + a*e)*x - 2*(b*e^2*n*x^2 + b*n + 2*a)*dilog(e*x) - 2*((b*e^2*n + a*e^2)*x^2 - b*n - a)*log(-e*x + 1) - 2*(b*e*x + 2*b*dilog(e*x) + (b*e^2*x^2 - b)*log(-e*x + 1))*log(c) + 2*(b*e^2*x^2*log(c) - b*e*n*x + (b*e^2*n + a*e^2)*x^2 - 2*b*n*dilog(e*x) - (b*e^2*n*x^2 - b*n)*log(-e*x + 1))*log(x))/x^2","A",0
214,1,296,0,0.766309," ","integrate(x^2*(a+b*log(c*x^n))*polylog(3,e*x),x, algorithm=""fricas"")","-\frac{4 \, {\left(4 \, b e^{3} n - 3 \, a e^{3}\right)} x^{3} + 9 \, {\left(3 \, b e^{2} n - 2 \, a e^{2}\right)} x^{2} + 36 \, {\left(2 \, b e n - a e\right)} x - 36 \, {\left({\left(2 \, b e^{3} n - 3 \, a e^{3}\right)} x^{3} + b n\right)} {\rm Li}_2\left(e x\right) - 36 \, {\left({\left(b e^{3} n - a e^{3}\right)} x^{3} - b n + a\right)} \log\left(-e x + 1\right) + 6 \, {\left(18 \, b e^{3} x^{3} {\rm Li}_2\left(e x\right) - 2 \, b e^{3} x^{3} - 3 \, b e^{2} x^{2} - 6 \, b e x + 6 \, {\left(b e^{3} x^{3} - b\right)} \log\left(-e x + 1\right)\right)} \log\left(c\right) + 6 \, {\left(18 \, b e^{3} n x^{3} {\rm Li}_2\left(e x\right) - 2 \, b e^{3} n x^{3} - 3 \, b e^{2} n x^{2} - 6 \, b e n x + 6 \, {\left(b e^{3} n x^{3} - b n\right)} \log\left(-e x + 1\right)\right)} \log\left(x\right) - 108 \, {\left(3 \, b e^{3} n x^{3} \log\left(x\right) + 3 \, b e^{3} x^{3} \log\left(c\right) - {\left(b e^{3} n - 3 \, a e^{3}\right)} x^{3}\right)} {\rm polylog}\left(3, e x\right)}{972 \, e^{3}}"," ",0,"-1/972*(4*(4*b*e^3*n - 3*a*e^3)*x^3 + 9*(3*b*e^2*n - 2*a*e^2)*x^2 + 36*(2*b*e*n - a*e)*x - 36*((2*b*e^3*n - 3*a*e^3)*x^3 + b*n)*dilog(e*x) - 36*((b*e^3*n - a*e^3)*x^3 - b*n + a)*log(-e*x + 1) + 6*(18*b*e^3*x^3*dilog(e*x) - 2*b*e^3*x^3 - 3*b*e^2*x^2 - 6*b*e*x + 6*(b*e^3*x^3 - b)*log(-e*x + 1))*log(c) + 6*(18*b*e^3*n*x^3*dilog(e*x) - 2*b*e^3*n*x^3 - 3*b*e^2*n*x^2 - 6*b*e*n*x + 6*(b*e^3*n*x^3 - b*n)*log(-e*x + 1))*log(x) - 108*(3*b*e^3*n*x^3*log(x) + 3*b*e^3*x^3*log(c) - (b*e^3*n - 3*a*e^3)*x^3)*polylog(3, e*x))/e^3","C",0
215,1,257,0,0.679587," ","integrate(x*(a+b*log(c*x^n))*polylog(3,e*x),x, algorithm=""fricas"")","-\frac{{\left(2 \, b e^{2} n - a e^{2}\right)} x^{2} + {\left(5 \, b e n - 2 \, a e\right)} x - 2 \, {\left(2 \, {\left(b e^{2} n - a e^{2}\right)} x^{2} + b n\right)} {\rm Li}_2\left(e x\right) - {\left({\left(3 \, b e^{2} n - 2 \, a e^{2}\right)} x^{2} - 3 \, b n + 2 \, a\right)} \log\left(-e x + 1\right) + {\left(4 \, b e^{2} x^{2} {\rm Li}_2\left(e x\right) - b e^{2} x^{2} - 2 \, b e x + 2 \, {\left(b e^{2} x^{2} - b\right)} \log\left(-e x + 1\right)\right)} \log\left(c\right) + {\left(4 \, b e^{2} n x^{2} {\rm Li}_2\left(e x\right) - b e^{2} n x^{2} - 2 \, b e n x + 2 \, {\left(b e^{2} n x^{2} - b n\right)} \log\left(-e x + 1\right)\right)} \log\left(x\right) - 4 \, {\left(2 \, b e^{2} n x^{2} \log\left(x\right) + 2 \, b e^{2} x^{2} \log\left(c\right) - {\left(b e^{2} n - 2 \, a e^{2}\right)} x^{2}\right)} {\rm polylog}\left(3, e x\right)}{16 \, e^{2}}"," ",0,"-1/16*((2*b*e^2*n - a*e^2)*x^2 + (5*b*e*n - 2*a*e)*x - 2*(2*(b*e^2*n - a*e^2)*x^2 + b*n)*dilog(e*x) - ((3*b*e^2*n - 2*a*e^2)*x^2 - 3*b*n + 2*a)*log(-e*x + 1) + (4*b*e^2*x^2*dilog(e*x) - b*e^2*x^2 - 2*b*e*x + 2*(b*e^2*x^2 - b)*log(-e*x + 1))*log(c) + (4*b*e^2*n*x^2*dilog(e*x) - b*e^2*n*x^2 - 2*b*e*n*x + 2*(b*e^2*n*x^2 - b*n)*log(-e*x + 1))*log(x) - 4*(2*b*e^2*n*x^2*log(x) + 2*b*e^2*x^2*log(c) - (b*e^2*n - 2*a*e^2)*x^2)*polylog(3, e*x))/e^2","C",0
216,1,172,0,0.851724," ","integrate((a+b*log(c*x^n))*polylog(3,e*x),x, algorithm=""fricas"")","-\frac{{\left(4 \, b e n - a e\right)} x - {\left(b n + {\left(2 \, b e n - a e\right)} x\right)} {\rm Li}_2\left(e x\right) + {\left(3 \, b n - {\left(3 \, b e n - a e\right)} x - a\right)} \log\left(-e x + 1\right) + {\left(b e x {\rm Li}_2\left(e x\right) - b e x + {\left(b e x - b\right)} \log\left(-e x + 1\right)\right)} \log\left(c\right) + {\left(b e n x {\rm Li}_2\left(e x\right) - b e n x + {\left(b e n x - b n\right)} \log\left(-e x + 1\right)\right)} \log\left(x\right) - {\left(b e n x \log\left(x\right) + b e x \log\left(c\right) - {\left(b e n - a e\right)} x\right)} {\rm polylog}\left(3, e x\right)}{e}"," ",0,"-((4*b*e*n - a*e)*x - (b*n + (2*b*e*n - a*e)*x)*dilog(e*x) + (3*b*n - (3*b*e*n - a*e)*x - a)*log(-e*x + 1) + (b*e*x*dilog(e*x) - b*e*x + (b*e*x - b)*log(-e*x + 1))*log(c) + (b*e*n*x*dilog(e*x) - b*e*n*x + (b*e*n*x - b*n)*log(-e*x + 1))*log(x) - (b*e*n*x*log(x) + b*e*x*log(c) - (b*e*n - a*e)*x)*polylog(3, e*x))/e","C",0
217,0,0,0,0.787280," ","integrate((a+b*log(c*x^n))*polylog(3,e*x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) {\rm polylog}\left(3, e x\right) + a {\rm polylog}\left(3, e x\right)}{x}, x\right)"," ",0,"integral((b*log(c*x^n)*polylog(3, e*x) + a*polylog(3, e*x))/x, x)","F",0
218,1,156,0,0.552156," ","integrate((a+b*log(c*x^n))*polylog(3,e*x)/x^2,x, algorithm=""fricas"")","\frac{b e n x \log\left(x\right)^{2} - 2 \, {\left(b e n x + 2 \, b n + a\right)} {\rm Li}_2\left(e x\right) + 2 \, {\left(3 \, b n - {\left(3 \, b e n + a e\right)} x + a\right)} \log\left(-e x + 1\right) - 2 \, {\left(b {\rm Li}_2\left(e x\right) + {\left(b e x - b\right)} \log\left(-e x + 1\right)\right)} \log\left(c\right) + 2 \, {\left(b e x \log\left(c\right) - b n {\rm Li}_2\left(e x\right) + {\left(3 \, b e n + a e\right)} x - {\left(b e n x - b n\right)} \log\left(-e x + 1\right)\right)} \log\left(x\right) - 2 \, {\left(b n \log\left(x\right) + b n + b \log\left(c\right) + a\right)} {\rm polylog}\left(3, e x\right)}{2 \, x}"," ",0,"1/2*(b*e*n*x*log(x)^2 - 2*(b*e*n*x + 2*b*n + a)*dilog(e*x) + 2*(3*b*n - (3*b*e*n + a*e)*x + a)*log(-e*x + 1) - 2*(b*dilog(e*x) + (b*e*x - b)*log(-e*x + 1))*log(c) + 2*(b*e*x*log(c) - b*n*dilog(e*x) + (3*b*e*n + a*e)*x - (b*e*n*x - b*n)*log(-e*x + 1))*log(x) - 2*(b*n*log(x) + b*n + b*log(c) + a)*polylog(3, e*x))/x","C",0
219,1,221,0,0.716824," ","integrate((a+b*log(c*x^n))*polylog(3,e*x)/x^3,x, algorithm=""fricas"")","\frac{b e^{2} n x^{2} \log\left(x\right)^{2} - {\left(5 \, b e n + 2 \, a e\right)} x - 2 \, {\left(b e^{2} n x^{2} + 2 \, b n + 2 \, a\right)} {\rm Li}_2\left(e x\right) - {\left({\left(3 \, b e^{2} n + 2 \, a e^{2}\right)} x^{2} - 3 \, b n - 2 \, a\right)} \log\left(-e x + 1\right) - 2 \, {\left(b e x + 2 \, b {\rm Li}_2\left(e x\right) + {\left(b e^{2} x^{2} - b\right)} \log\left(-e x + 1\right)\right)} \log\left(c\right) + {\left(2 \, b e^{2} x^{2} \log\left(c\right) - 2 \, b e n x + {\left(3 \, b e^{2} n + 2 \, a e^{2}\right)} x^{2} - 4 \, b n {\rm Li}_2\left(e x\right) - 2 \, {\left(b e^{2} n x^{2} - b n\right)} \log\left(-e x + 1\right)\right)} \log\left(x\right) - 4 \, {\left(2 \, b n \log\left(x\right) + b n + 2 \, b \log\left(c\right) + 2 \, a\right)} {\rm polylog}\left(3, e x\right)}{16 \, x^{2}}"," ",0,"1/16*(b*e^2*n*x^2*log(x)^2 - (5*b*e*n + 2*a*e)*x - 2*(b*e^2*n*x^2 + 2*b*n + 2*a)*dilog(e*x) - ((3*b*e^2*n + 2*a*e^2)*x^2 - 3*b*n - 2*a)*log(-e*x + 1) - 2*(b*e*x + 2*b*dilog(e*x) + (b*e^2*x^2 - b)*log(-e*x + 1))*log(c) + (2*b*e^2*x^2*log(c) - 2*b*e*n*x + (3*b*e^2*n + 2*a*e^2)*x^2 - 4*b*n*dilog(e*x) - 2*(b*e^2*n*x^2 - b*n)*log(-e*x + 1))*log(x) - 4*(2*b*n*log(x) + b*n + 2*b*log(c) + 2*a)*polylog(3, e*x))/x^2","C",0
220,0,0,0,0.823004," ","integrate(-(d*x)^m*(a+b*log(c*x^n))*log(1-e*x^q),x, algorithm=""fricas"")","{\rm integral}\left(-\left(d x\right)^{m} b \log\left(c x^{n}\right) \log\left(-e x^{q} + 1\right) - \left(d x\right)^{m} a \log\left(-e x^{q} + 1\right), x\right)"," ",0,"integral(-(d*x)^m*b*log(c*x^n)*log(-e*x^q + 1) - (d*x)^m*a*log(-e*x^q + 1), x)","F",0
221,0,0,0,0.691194," ","integrate((d*x)^m*(a+b*log(c*x^n))*polylog(2,e*x^q),x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} b {\rm Li}_2\left(e x^{q}\right) \log\left(c x^{n}\right) + \left(d x\right)^{m} a {\rm Li}_2\left(e x^{q}\right), x\right)"," ",0,"integral((d*x)^m*b*dilog(e*x^q)*log(c*x^n) + (d*x)^m*a*dilog(e*x^q), x)","F",0
222,0,0,0,0.724108," ","integrate((d*x)^m*(a+b*log(c*x^n))*polylog(3,e*x^q),x, algorithm=""fricas"")","{\rm integral}\left({\left(\left(d x\right)^{m} b \log\left(c x^{n}\right) + \left(d x\right)^{m} a\right)} {\rm polylog}\left(3, e x^{q}\right), x\right)"," ",0,"integral(((d*x)^m*b*log(c*x^n) + (d*x)^m*a)*polylog(3, e*x^q), x)","F",0
223,1,32,0,0.685235," ","integrate(x^2*log(c*(b*x^n)^p),x, algorithm=""fricas"")","\frac{1}{3} \, n p x^{3} \log\left(x\right) - \frac{1}{9} \, n p x^{3} + \frac{1}{3} \, p x^{3} \log\left(b\right) + \frac{1}{3} \, x^{3} \log\left(c\right)"," ",0,"1/3*n*p*x^3*log(x) - 1/9*n*p*x^3 + 1/3*p*x^3*log(b) + 1/3*x^3*log(c)","A",0
224,1,32,0,0.649276," ","integrate(x*log(c*(b*x^n)^p),x, algorithm=""fricas"")","\frac{1}{2} \, n p x^{2} \log\left(x\right) - \frac{1}{4} \, n p x^{2} + \frac{1}{2} \, p x^{2} \log\left(b\right) + \frac{1}{2} \, x^{2} \log\left(c\right)"," ",0,"1/2*n*p*x^2*log(x) - 1/4*n*p*x^2 + 1/2*p*x^2*log(b) + 1/2*x^2*log(c)","A",0
225,1,21,0,0.801900," ","integrate(log(c*(b*x^n)^p),x, algorithm=""fricas"")","n p x \log\left(x\right) - n p x + p x \log\left(b\right) + x \log\left(c\right)"," ",0,"n*p*x*log(x) - n*p*x + p*x*log(b) + x*log(c)","A",0
226,1,19,0,0.607027," ","integrate(log(c*(b*x^n)^p)/x,x, algorithm=""fricas"")","\frac{1}{2} \, n p \log\left(x\right)^{2} + {\left(p \log\left(b\right) + \log\left(c\right)\right)} \log\left(x\right)"," ",0,"1/2*n*p*log(x)^2 + (p*log(b) + log(c))*log(x)","A",0
227,1,20,0,0.708355," ","integrate(log(c*(b*x^n)^p)/x^2,x, algorithm=""fricas"")","-\frac{n p \log\left(x\right) + n p + p \log\left(b\right) + \log\left(c\right)}{x}"," ",0,"-(n*p*log(x) + n*p + p*log(b) + log(c))/x","A",0
228,1,24,0,0.524512," ","integrate(log(c*(b*x^n)^p)/x^3,x, algorithm=""fricas"")","-\frac{2 \, n p \log\left(x\right) + n p + 2 \, p \log\left(b\right) + 2 \, \log\left(c\right)}{4 \, x^{2}}"," ",0,"-1/4*(2*n*p*log(x) + n*p + 2*p*log(b) + 2*log(c))/x^2","A",0
229,1,24,0,0.546145," ","integrate(log(c*(b*x^n)^p)/x^4,x, algorithm=""fricas"")","-\frac{3 \, n p \log\left(x\right) + n p + 3 \, p \log\left(b\right) + 3 \, \log\left(c\right)}{9 \, x^{3}}"," ",0,"-1/9*(3*n*p*log(x) + n*p + 3*p*log(b) + 3*log(c))/x^3","A",0
230,1,113,0,0.523371," ","integrate(x^2*log(c*(b*x^n)^p)^2,x, algorithm=""fricas"")","\frac{1}{3} \, n^{2} p^{2} x^{3} \log\left(x\right)^{2} + \frac{2}{27} \, n^{2} p^{2} x^{3} - \frac{2}{9} \, n p^{2} x^{3} \log\left(b\right) + \frac{1}{3} \, p^{2} x^{3} \log\left(b\right)^{2} + \frac{1}{3} \, x^{3} \log\left(c\right)^{2} - \frac{2}{9} \, {\left(n p x^{3} - 3 \, p x^{3} \log\left(b\right)\right)} \log\left(c\right) - \frac{2}{9} \, {\left(n^{2} p^{2} x^{3} - 3 \, n p^{2} x^{3} \log\left(b\right) - 3 \, n p x^{3} \log\left(c\right)\right)} \log\left(x\right)"," ",0,"1/3*n^2*p^2*x^3*log(x)^2 + 2/27*n^2*p^2*x^3 - 2/9*n*p^2*x^3*log(b) + 1/3*p^2*x^3*log(b)^2 + 1/3*x^3*log(c)^2 - 2/9*(n*p*x^3 - 3*p*x^3*log(b))*log(c) - 2/9*(n^2*p^2*x^3 - 3*n*p^2*x^3*log(b) - 3*n*p*x^3*log(c))*log(x)","B",0
231,1,113,0,0.626248," ","integrate(x*log(c*(b*x^n)^p)^2,x, algorithm=""fricas"")","\frac{1}{2} \, n^{2} p^{2} x^{2} \log\left(x\right)^{2} + \frac{1}{4} \, n^{2} p^{2} x^{2} - \frac{1}{2} \, n p^{2} x^{2} \log\left(b\right) + \frac{1}{2} \, p^{2} x^{2} \log\left(b\right)^{2} + \frac{1}{2} \, x^{2} \log\left(c\right)^{2} - \frac{1}{2} \, {\left(n p x^{2} - 2 \, p x^{2} \log\left(b\right)\right)} \log\left(c\right) - \frac{1}{2} \, {\left(n^{2} p^{2} x^{2} - 2 \, n p^{2} x^{2} \log\left(b\right) - 2 \, n p x^{2} \log\left(c\right)\right)} \log\left(x\right)"," ",0,"1/2*n^2*p^2*x^2*log(x)^2 + 1/4*n^2*p^2*x^2 - 1/2*n*p^2*x^2*log(b) + 1/2*p^2*x^2*log(b)^2 + 1/2*x^2*log(c)^2 - 1/2*(n*p*x^2 - 2*p*x^2*log(b))*log(c) - 1/2*(n^2*p^2*x^2 - 2*n*p^2*x^2*log(b) - 2*n*p*x^2*log(c))*log(x)","B",0
232,1,90,0,0.508253," ","integrate(log(c*(b*x^n)^p)^2,x, algorithm=""fricas"")","n^{2} p^{2} x \log\left(x\right)^{2} + 2 \, n^{2} p^{2} x - 2 \, n p^{2} x \log\left(b\right) + p^{2} x \log\left(b\right)^{2} + x \log\left(c\right)^{2} - 2 \, {\left(n p x - p x \log\left(b\right)\right)} \log\left(c\right) - 2 \, {\left(n^{2} p^{2} x - n p^{2} x \log\left(b\right) - n p x \log\left(c\right)\right)} \log\left(x\right)"," ",0,"n^2*p^2*x*log(x)^2 + 2*n^2*p^2*x - 2*n*p^2*x*log(b) + p^2*x*log(b)^2 + x*log(c)^2 - 2*(n*p*x - p*x*log(b))*log(c) - 2*(n^2*p^2*x - n*p^2*x*log(b) - n*p*x*log(c))*log(x)","B",0
233,1,54,0,0.674376," ","integrate(log(c*(b*x^n)^p)^2/x,x, algorithm=""fricas"")","\frac{1}{3} \, n^{2} p^{2} \log\left(x\right)^{3} + {\left(n p^{2} \log\left(b\right) + n p \log\left(c\right)\right)} \log\left(x\right)^{2} + {\left(p^{2} \log\left(b\right)^{2} + 2 \, p \log\left(b\right) \log\left(c\right) + \log\left(c\right)^{2}\right)} \log\left(x\right)"," ",0,"1/3*n^2*p^2*log(x)^3 + (n*p^2*log(b) + n*p*log(c))*log(x)^2 + (p^2*log(b)^2 + 2*p*log(b)*log(c) + log(c)^2)*log(x)","B",0
234,1,81,0,0.745508," ","integrate(log(c*(b*x^n)^p)^2/x^2,x, algorithm=""fricas"")","-\frac{n^{2} p^{2} \log\left(x\right)^{2} + 2 \, n^{2} p^{2} + 2 \, n p^{2} \log\left(b\right) + p^{2} \log\left(b\right)^{2} + 2 \, {\left(n p + p \log\left(b\right)\right)} \log\left(c\right) + \log\left(c\right)^{2} + 2 \, {\left(n^{2} p^{2} + n p^{2} \log\left(b\right) + n p \log\left(c\right)\right)} \log\left(x\right)}{x}"," ",0,"-(n^2*p^2*log(x)^2 + 2*n^2*p^2 + 2*n*p^2*log(b) + p^2*log(b)^2 + 2*(n*p + p*log(b))*log(c) + log(c)^2 + 2*(n^2*p^2 + n*p^2*log(b) + n*p*log(c))*log(x))/x","A",0
235,1,87,0,0.683221," ","integrate(log(c*(b*x^n)^p)^2/x^3,x, algorithm=""fricas"")","-\frac{2 \, n^{2} p^{2} \log\left(x\right)^{2} + n^{2} p^{2} + 2 \, n p^{2} \log\left(b\right) + 2 \, p^{2} \log\left(b\right)^{2} + 2 \, {\left(n p + 2 \, p \log\left(b\right)\right)} \log\left(c\right) + 2 \, \log\left(c\right)^{2} + 2 \, {\left(n^{2} p^{2} + 2 \, n p^{2} \log\left(b\right) + 2 \, n p \log\left(c\right)\right)} \log\left(x\right)}{4 \, x^{2}}"," ",0,"-1/4*(2*n^2*p^2*log(x)^2 + n^2*p^2 + 2*n*p^2*log(b) + 2*p^2*log(b)^2 + 2*(n*p + 2*p*log(b))*log(c) + 2*log(c)^2 + 2*(n^2*p^2 + 2*n*p^2*log(b) + 2*n*p*log(c))*log(x))/x^2","A",0
236,1,88,0,0.609496," ","integrate(log(c*(b*x^n)^p)^2/x^4,x, algorithm=""fricas"")","-\frac{9 \, n^{2} p^{2} \log\left(x\right)^{2} + 2 \, n^{2} p^{2} + 6 \, n p^{2} \log\left(b\right) + 9 \, p^{2} \log\left(b\right)^{2} + 6 \, {\left(n p + 3 \, p \log\left(b\right)\right)} \log\left(c\right) + 9 \, \log\left(c\right)^{2} + 6 \, {\left(n^{2} p^{2} + 3 \, n p^{2} \log\left(b\right) + 3 \, n p \log\left(c\right)\right)} \log\left(x\right)}{27 \, x^{3}}"," ",0,"-1/27*(9*n^2*p^2*log(x)^2 + 2*n^2*p^2 + 6*n*p^2*log(b) + 9*p^2*log(b)^2 + 6*(n*p + 3*p*log(b))*log(c) + 9*log(c)^2 + 6*(n^2*p^2 + 3*n*p^2*log(b) + 3*n*p*log(c))*log(x))/x^3","A",0
237,1,1358,0,0.657213," ","integrate((e*x)^q*(a+b*log(c*(d*x^m)^n))^3,x, algorithm=""fricas"")","\frac{{\left({\left(b^{3} q^{3} + 3 \, b^{3} q^{2} + 3 \, b^{3} q + b^{3}\right)} x \log\left(c\right)^{3} + {\left(b^{3} n^{3} q^{3} + 3 \, b^{3} n^{3} q^{2} + 3 \, b^{3} n^{3} q + b^{3} n^{3}\right)} x \log\left(d\right)^{3} + {\left(b^{3} m^{3} n^{3} q^{3} + 3 \, b^{3} m^{3} n^{3} q^{2} + 3 \, b^{3} m^{3} n^{3} q + b^{3} m^{3} n^{3}\right)} x \log\left(x\right)^{3} + 3 \, {\left(a b^{2} q^{3} - b^{3} m n + a b^{2} - {\left(b^{3} m n - 3 \, a b^{2}\right)} q^{2} - {\left(2 \, b^{3} m n - 3 \, a b^{2}\right)} q\right)} x \log\left(c\right)^{2} + 3 \, {\left(2 \, b^{3} m^{2} n^{2} + a^{2} b q^{3} - 2 \, a b^{2} m n + a^{2} b - {\left(2 \, a b^{2} m n - 3 \, a^{2} b\right)} q^{2} + {\left(2 \, b^{3} m^{2} n^{2} - 4 \, a b^{2} m n + 3 \, a^{2} b\right)} q\right)} x \log\left(c\right) + 3 \, {\left({\left(b^{3} n^{2} q^{3} + 3 \, b^{3} n^{2} q^{2} + 3 \, b^{3} n^{2} q + b^{3} n^{2}\right)} x \log\left(c\right) + {\left(a b^{2} n^{2} q^{3} - b^{3} m n^{3} + a b^{2} n^{2} - {\left(b^{3} m n^{3} - 3 \, a b^{2} n^{2}\right)} q^{2} - {\left(2 \, b^{3} m n^{3} - 3 \, a b^{2} n^{2}\right)} q\right)} x\right)} \log\left(d\right)^{2} + 3 \, {\left({\left(b^{3} m^{2} n^{2} q^{3} + 3 \, b^{3} m^{2} n^{2} q^{2} + 3 \, b^{3} m^{2} n^{2} q + b^{3} m^{2} n^{2}\right)} x \log\left(c\right) + {\left(b^{3} m^{2} n^{3} q^{3} + 3 \, b^{3} m^{2} n^{3} q^{2} + 3 \, b^{3} m^{2} n^{3} q + b^{3} m^{2} n^{3}\right)} x \log\left(d\right) + {\left(a b^{2} m^{2} n^{2} q^{3} - b^{3} m^{3} n^{3} + a b^{2} m^{2} n^{2} - {\left(b^{3} m^{3} n^{3} - 3 \, a b^{2} m^{2} n^{2}\right)} q^{2} - {\left(2 \, b^{3} m^{3} n^{3} - 3 \, a b^{2} m^{2} n^{2}\right)} q\right)} x\right)} \log\left(x\right)^{2} - {\left(6 \, b^{3} m^{3} n^{3} - 6 \, a b^{2} m^{2} n^{2} - a^{3} q^{3} + 3 \, a^{2} b m n - a^{3} + 3 \, {\left(a^{2} b m n - a^{3}\right)} q^{2} - 3 \, {\left(2 \, a b^{2} m^{2} n^{2} - 2 \, a^{2} b m n + a^{3}\right)} q\right)} x + 3 \, {\left({\left(b^{3} n q^{3} + 3 \, b^{3} n q^{2} + 3 \, b^{3} n q + b^{3} n\right)} x \log\left(c\right)^{2} + 2 \, {\left(a b^{2} n q^{3} - b^{3} m n^{2} + a b^{2} n - {\left(b^{3} m n^{2} - 3 \, a b^{2} n\right)} q^{2} - {\left(2 \, b^{3} m n^{2} - 3 \, a b^{2} n\right)} q\right)} x \log\left(c\right) + {\left(2 \, b^{3} m^{2} n^{3} + a^{2} b n q^{3} - 2 \, a b^{2} m n^{2} + a^{2} b n - {\left(2 \, a b^{2} m n^{2} - 3 \, a^{2} b n\right)} q^{2} + {\left(2 \, b^{3} m^{2} n^{3} - 4 \, a b^{2} m n^{2} + 3 \, a^{2} b n\right)} q\right)} x\right)} \log\left(d\right) + 3 \, {\left({\left(b^{3} m n q^{3} + 3 \, b^{3} m n q^{2} + 3 \, b^{3} m n q + b^{3} m n\right)} x \log\left(c\right)^{2} + {\left(b^{3} m n^{3} q^{3} + 3 \, b^{3} m n^{3} q^{2} + 3 \, b^{3} m n^{3} q + b^{3} m n^{3}\right)} x \log\left(d\right)^{2} + 2 \, {\left(a b^{2} m n q^{3} - b^{3} m^{2} n^{2} + a b^{2} m n - {\left(b^{3} m^{2} n^{2} - 3 \, a b^{2} m n\right)} q^{2} - {\left(2 \, b^{3} m^{2} n^{2} - 3 \, a b^{2} m n\right)} q\right)} x \log\left(c\right) + {\left(2 \, b^{3} m^{3} n^{3} + a^{2} b m n q^{3} - 2 \, a b^{2} m^{2} n^{2} + a^{2} b m n - {\left(2 \, a b^{2} m^{2} n^{2} - 3 \, a^{2} b m n\right)} q^{2} + {\left(2 \, b^{3} m^{3} n^{3} - 4 \, a b^{2} m^{2} n^{2} + 3 \, a^{2} b m n\right)} q\right)} x + 2 \, {\left({\left(b^{3} m n^{2} q^{3} + 3 \, b^{3} m n^{2} q^{2} + 3 \, b^{3} m n^{2} q + b^{3} m n^{2}\right)} x \log\left(c\right) + {\left(a b^{2} m n^{2} q^{3} - b^{3} m^{2} n^{3} + a b^{2} m n^{2} - {\left(b^{3} m^{2} n^{3} - 3 \, a b^{2} m n^{2}\right)} q^{2} - {\left(2 \, b^{3} m^{2} n^{3} - 3 \, a b^{2} m n^{2}\right)} q\right)} x\right)} \log\left(d\right)\right)} \log\left(x\right)\right)} e^{\left(q \log\left(e\right) + q \log\left(x\right)\right)}}{q^{4} + 4 \, q^{3} + 6 \, q^{2} + 4 \, q + 1}"," ",0,"((b^3*q^3 + 3*b^3*q^2 + 3*b^3*q + b^3)*x*log(c)^3 + (b^3*n^3*q^3 + 3*b^3*n^3*q^2 + 3*b^3*n^3*q + b^3*n^3)*x*log(d)^3 + (b^3*m^3*n^3*q^3 + 3*b^3*m^3*n^3*q^2 + 3*b^3*m^3*n^3*q + b^3*m^3*n^3)*x*log(x)^3 + 3*(a*b^2*q^3 - b^3*m*n + a*b^2 - (b^3*m*n - 3*a*b^2)*q^2 - (2*b^3*m*n - 3*a*b^2)*q)*x*log(c)^2 + 3*(2*b^3*m^2*n^2 + a^2*b*q^3 - 2*a*b^2*m*n + a^2*b - (2*a*b^2*m*n - 3*a^2*b)*q^2 + (2*b^3*m^2*n^2 - 4*a*b^2*m*n + 3*a^2*b)*q)*x*log(c) + 3*((b^3*n^2*q^3 + 3*b^3*n^2*q^2 + 3*b^3*n^2*q + b^3*n^2)*x*log(c) + (a*b^2*n^2*q^3 - b^3*m*n^3 + a*b^2*n^2 - (b^3*m*n^3 - 3*a*b^2*n^2)*q^2 - (2*b^3*m*n^3 - 3*a*b^2*n^2)*q)*x)*log(d)^2 + 3*((b^3*m^2*n^2*q^3 + 3*b^3*m^2*n^2*q^2 + 3*b^3*m^2*n^2*q + b^3*m^2*n^2)*x*log(c) + (b^3*m^2*n^3*q^3 + 3*b^3*m^2*n^3*q^2 + 3*b^3*m^2*n^3*q + b^3*m^2*n^3)*x*log(d) + (a*b^2*m^2*n^2*q^3 - b^3*m^3*n^3 + a*b^2*m^2*n^2 - (b^3*m^3*n^3 - 3*a*b^2*m^2*n^2)*q^2 - (2*b^3*m^3*n^3 - 3*a*b^2*m^2*n^2)*q)*x)*log(x)^2 - (6*b^3*m^3*n^3 - 6*a*b^2*m^2*n^2 - a^3*q^3 + 3*a^2*b*m*n - a^3 + 3*(a^2*b*m*n - a^3)*q^2 - 3*(2*a*b^2*m^2*n^2 - 2*a^2*b*m*n + a^3)*q)*x + 3*((b^3*n*q^3 + 3*b^3*n*q^2 + 3*b^3*n*q + b^3*n)*x*log(c)^2 + 2*(a*b^2*n*q^3 - b^3*m*n^2 + a*b^2*n - (b^3*m*n^2 - 3*a*b^2*n)*q^2 - (2*b^3*m*n^2 - 3*a*b^2*n)*q)*x*log(c) + (2*b^3*m^2*n^3 + a^2*b*n*q^3 - 2*a*b^2*m*n^2 + a^2*b*n - (2*a*b^2*m*n^2 - 3*a^2*b*n)*q^2 + (2*b^3*m^2*n^3 - 4*a*b^2*m*n^2 + 3*a^2*b*n)*q)*x)*log(d) + 3*((b^3*m*n*q^3 + 3*b^3*m*n*q^2 + 3*b^3*m*n*q + b^3*m*n)*x*log(c)^2 + (b^3*m*n^3*q^3 + 3*b^3*m*n^3*q^2 + 3*b^3*m*n^3*q + b^3*m*n^3)*x*log(d)^2 + 2*(a*b^2*m*n*q^3 - b^3*m^2*n^2 + a*b^2*m*n - (b^3*m^2*n^2 - 3*a*b^2*m*n)*q^2 - (2*b^3*m^2*n^2 - 3*a*b^2*m*n)*q)*x*log(c) + (2*b^3*m^3*n^3 + a^2*b*m*n*q^3 - 2*a*b^2*m^2*n^2 + a^2*b*m*n - (2*a*b^2*m^2*n^2 - 3*a^2*b*m*n)*q^2 + (2*b^3*m^3*n^3 - 4*a*b^2*m^2*n^2 + 3*a^2*b*m*n)*q)*x + 2*((b^3*m*n^2*q^3 + 3*b^3*m*n^2*q^2 + 3*b^3*m*n^2*q + b^3*m*n^2)*x*log(c) + (a*b^2*m*n^2*q^3 - b^3*m^2*n^3 + a*b^2*m*n^2 - (b^3*m^2*n^3 - 3*a*b^2*m*n^2)*q^2 - (2*b^3*m^2*n^3 - 3*a*b^2*m*n^2)*q)*x)*log(d))*log(x))*e^(q*log(e) + q*log(x))/(q^4 + 4*q^3 + 6*q^2 + 4*q + 1)","B",0
238,1,391,0,0.577374," ","integrate((e*x)^q*(a+b*log(c*(d*x^m)^n))^2,x, algorithm=""fricas"")","\frac{{\left({\left(b^{2} q^{2} + 2 \, b^{2} q + b^{2}\right)} x \log\left(c\right)^{2} + {\left(b^{2} n^{2} q^{2} + 2 \, b^{2} n^{2} q + b^{2} n^{2}\right)} x \log\left(d\right)^{2} + {\left(b^{2} m^{2} n^{2} q^{2} + 2 \, b^{2} m^{2} n^{2} q + b^{2} m^{2} n^{2}\right)} x \log\left(x\right)^{2} - 2 \, {\left(b^{2} m n - a b q^{2} - a b + {\left(b^{2} m n - 2 \, a b\right)} q\right)} x \log\left(c\right) + {\left(2 \, b^{2} m^{2} n^{2} - 2 \, a b m n + a^{2} q^{2} + a^{2} - 2 \, {\left(a b m n - a^{2}\right)} q\right)} x + 2 \, {\left({\left(b^{2} n q^{2} + 2 \, b^{2} n q + b^{2} n\right)} x \log\left(c\right) - {\left(b^{2} m n^{2} - a b n q^{2} - a b n + {\left(b^{2} m n^{2} - 2 \, a b n\right)} q\right)} x\right)} \log\left(d\right) + 2 \, {\left({\left(b^{2} m n q^{2} + 2 \, b^{2} m n q + b^{2} m n\right)} x \log\left(c\right) + {\left(b^{2} m n^{2} q^{2} + 2 \, b^{2} m n^{2} q + b^{2} m n^{2}\right)} x \log\left(d\right) - {\left(b^{2} m^{2} n^{2} - a b m n q^{2} - a b m n + {\left(b^{2} m^{2} n^{2} - 2 \, a b m n\right)} q\right)} x\right)} \log\left(x\right)\right)} e^{\left(q \log\left(e\right) + q \log\left(x\right)\right)}}{q^{3} + 3 \, q^{2} + 3 \, q + 1}"," ",0,"((b^2*q^2 + 2*b^2*q + b^2)*x*log(c)^2 + (b^2*n^2*q^2 + 2*b^2*n^2*q + b^2*n^2)*x*log(d)^2 + (b^2*m^2*n^2*q^2 + 2*b^2*m^2*n^2*q + b^2*m^2*n^2)*x*log(x)^2 - 2*(b^2*m*n - a*b*q^2 - a*b + (b^2*m*n - 2*a*b)*q)*x*log(c) + (2*b^2*m^2*n^2 - 2*a*b*m*n + a^2*q^2 + a^2 - 2*(a*b*m*n - a^2)*q)*x + 2*((b^2*n*q^2 + 2*b^2*n*q + b^2*n)*x*log(c) - (b^2*m*n^2 - a*b*n*q^2 - a*b*n + (b^2*m*n^2 - 2*a*b*n)*q)*x)*log(d) + 2*((b^2*m*n*q^2 + 2*b^2*m*n*q + b^2*m*n)*x*log(c) + (b^2*m*n^2*q^2 + 2*b^2*m*n^2*q + b^2*m*n^2)*x*log(d) - (b^2*m^2*n^2 - a*b*m*n*q^2 - a*b*m*n + (b^2*m^2*n^2 - 2*a*b*m*n)*q)*x)*log(x))*e^(q*log(e) + q*log(x))/(q^3 + 3*q^2 + 3*q + 1)","B",0
239,1,72,0,0.712532," ","integrate((e*x)^q*(a+b*log(c*(d*x^m)^n)),x, algorithm=""fricas"")","\frac{{\left({\left(b q + b\right)} x \log\left(c\right) + {\left(b n q + b n\right)} x \log\left(d\right) + {\left(b m n q + b m n\right)} x \log\left(x\right) - {\left(b m n - a q - a\right)} x\right)} e^{\left(q \log\left(e\right) + q \log\left(x\right)\right)}}{q^{2} + 2 \, q + 1}"," ",0,"((b*q + b)*x*log(c) + (b*n*q + b*n)*x*log(d) + (b*m*n*q + b*m*n)*x*log(x) - (b*m*n - a*q - a)*x)*e^(q*log(e) + q*log(x))/(q^2 + 2*q + 1)","A",0
240,1,105,0,0.564404," ","integrate((e*x)^q/(a+b*log(c*(d*x^m)^n)),x, algorithm=""fricas"")","\frac{{\rm Ei}\left(\frac{a q + {\left(b q + b\right)} \log\left(c\right) + {\left(b n q + b n\right)} \log\left(d\right) + {\left(b m n q + b m n\right)} \log\left(x\right) + a}{b m n}\right) e^{\left(\frac{b m n q \log\left(e\right) - a q - {\left(b q + b\right)} \log\left(c\right) - {\left(b n q + b n\right)} \log\left(d\right) - a}{b m n}\right)}}{b m n}"," ",0,"Ei((a*q + (b*q + b)*log(c) + (b*n*q + b*n)*log(d) + (b*m*n*q + b*m*n)*log(x) + a)/(b*m*n))*e^((b*m*n*q*log(e) - a*q - (b*q + b)*log(c) - (b*n*q + b*n)*log(d) - a)/(b*m*n))/(b*m*n)","A",0
241,1,202,0,0.544097," ","integrate((e*x)^q/(a+b*log(c*(d*x^m)^n))^2,x, algorithm=""fricas"")","-\frac{b m n x e^{\left(q \log\left(e\right) + q \log\left(x\right)\right)} - {\left(a q + {\left(b q + b\right)} \log\left(c\right) + {\left(b n q + b n\right)} \log\left(d\right) + {\left(b m n q + b m n\right)} \log\left(x\right) + a\right)} {\rm Ei}\left(\frac{a q + {\left(b q + b\right)} \log\left(c\right) + {\left(b n q + b n\right)} \log\left(d\right) + {\left(b m n q + b m n\right)} \log\left(x\right) + a}{b m n}\right) e^{\left(\frac{b m n q \log\left(e\right) - a q - {\left(b q + b\right)} \log\left(c\right) - {\left(b n q + b n\right)} \log\left(d\right) - a}{b m n}\right)}}{b^{3} m^{3} n^{3} \log\left(x\right) + b^{3} m^{2} n^{3} \log\left(d\right) + b^{3} m^{2} n^{2} \log\left(c\right) + a b^{2} m^{2} n^{2}}"," ",0,"-(b*m*n*x*e^(q*log(e) + q*log(x)) - (a*q + (b*q + b)*log(c) + (b*n*q + b*n)*log(d) + (b*m*n*q + b*m*n)*log(x) + a)*Ei((a*q + (b*q + b)*log(c) + (b*n*q + b*n)*log(d) + (b*m*n*q + b*m*n)*log(x) + a)/(b*m*n))*e^((b*m*n*q*log(e) - a*q - (b*q + b)*log(c) - (b*n*q + b*n)*log(d) - a)/(b*m*n)))/(b^3*m^3*n^3*log(x) + b^3*m^2*n^3*log(d) + b^3*m^2*n^2*log(c) + a*b^2*m^2*n^2)","A",0
242,0,0,0,0.668240," ","integrate((e*x)^q*(a+b*log(c*(d*x^m)^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(e x\right)^{q} {\left(b \log\left(\left(d x^{m}\right)^{n} c\right) + a\right)}^{p}, x\right)"," ",0,"integral((e*x)^q*(b*log((d*x^m)^n*c) + a)^p, x)","F",0
243,0,0,0,0.725996," ","integrate(x^2*(a+b*log(c*(d*x^m)^n))^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \log\left(\left(d x^{m}\right)^{n} c\right) + a\right)}^{p} x^{2}, x\right)"," ",0,"integral((b*log((d*x^m)^n*c) + a)^p*x^2, x)","F",0
244,0,0,0,0.708997," ","integrate(x*(a+b*log(c*(d*x^m)^n))^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b \log\left(\left(d x^{m}\right)^{n} c\right) + a\right)}^{p} x, x\right)"," ",0,"integral((b*log((d*x^m)^n*c) + a)^p*x, x)","F",0
245,1,73,0,0.761842," ","integrate((a+b*log(c*(d*x^m)^n))^p,x, algorithm=""fricas"")","e^{\left(-\frac{b m n p \log\left(-\frac{1}{b m n}\right) + b n \log\left(d\right) + b \log\left(c\right) + a}{b m n}\right)} \Gamma\left(p + 1, -\frac{b m n \log\left(x\right) + b n \log\left(d\right) + b \log\left(c\right) + a}{b m n}\right)"," ",0,"e^(-(b*m*n*p*log(-1/(b*m*n)) + b*n*log(d) + b*log(c) + a)/(b*m*n))*gamma(p + 1, -(b*m*n*log(x) + b*n*log(d) + b*log(c) + a)/(b*m*n))","A",0
246,1,49,0,0.678280," ","integrate((a+b*log(c*(d*x^m)^n))^p/x,x, algorithm=""fricas"")","\frac{{\left(b m n \log\left(x\right) + b n \log\left(d\right) + b \log\left(c\right) + a\right)} {\left(b m n \log\left(x\right) + b n \log\left(d\right) + b \log\left(c\right) + a\right)}^{p}}{b m n p + b m n}"," ",0,"(b*m*n*log(x) + b*n*log(d) + b*log(c) + a)*(b*m*n*log(x) + b*n*log(d) + b*log(c) + a)^p/(b*m*n*p + b*m*n)","A",0
247,0,0,0,0.647026," ","integrate((a+b*log(c*(d*x^m)^n))^p/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(\left(d x^{m}\right)^{n} c\right) + a\right)}^{p}}{x^{2}}, x\right)"," ",0,"integral((b*log((d*x^m)^n*c) + a)^p/x^2, x)","F",0
248,0,0,0,0.910713," ","integrate((a+b*log(c*(d*x^m)^n))^p/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b \log\left(\left(d x^{m}\right)^{n} c\right) + a\right)}^{p}}{x^{3}}, x\right)"," ",0,"integral((b*log((d*x^m)^n*c) + a)^p/x^3, x)","F",0
249,0,0,0,0.877487," ","integrate((a+b*log(c*(d*x^m)^n))/(f*x^2+e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(\left(d x^{m}\right)^{n} c\right) + a}{f x^{2} + e}, x\right)"," ",0,"integral((b*log((d*x^m)^n*c) + a)/(f*x^2 + e), x)","F",0
