1,1,69,0,0.780631," ","integrate(x^3*(e*x+d)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{25} \, {\left(b e n - 5 \, a e\right)} x^{5} - \frac{1}{16} \, {\left(b d n - 4 \, a d\right)} x^{4} + \frac{1}{20} \, {\left(4 \, b e x^{5} + 5 \, b d x^{4}\right)} \log\left(c\right) + \frac{1}{20} \, {\left(4 \, b e n x^{5} + 5 \, b d n x^{4}\right)} \log\left(x\right)"," ",0,"-1/25*(b*e*n - 5*a*e)*x^5 - 1/16*(b*d*n - 4*a*d)*x^4 + 1/20*(4*b*e*x^5 + 5*b*d*x^4)*log(c) + 1/20*(4*b*e*n*x^5 + 5*b*d*n*x^4)*log(x)","A",0
2,1,69,0,0.900821," ","integrate(x^2*(e*x+d)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{16} \, {\left(b e n - 4 \, a e\right)} x^{4} - \frac{1}{9} \, {\left(b d n - 3 \, a d\right)} x^{3} + \frac{1}{12} \, {\left(3 \, b e x^{4} + 4 \, b d x^{3}\right)} \log\left(c\right) + \frac{1}{12} \, {\left(3 \, b e n x^{4} + 4 \, b d n x^{3}\right)} \log\left(x\right)"," ",0,"-1/16*(b*e*n - 4*a*e)*x^4 - 1/9*(b*d*n - 3*a*d)*x^3 + 1/12*(3*b*e*x^4 + 4*b*d*x^3)*log(c) + 1/12*(3*b*e*n*x^4 + 4*b*d*n*x^3)*log(x)","A",0
3,1,69,0,0.715635," ","integrate(x*(e*x+d)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{9} \, {\left(b e n - 3 \, a e\right)} x^{3} - \frac{1}{4} \, {\left(b d n - 2 \, a d\right)} x^{2} + \frac{1}{6} \, {\left(2 \, b e x^{3} + 3 \, b d x^{2}\right)} \log\left(c\right) + \frac{1}{6} \, {\left(2 \, b e n x^{3} + 3 \, b d n x^{2}\right)} \log\left(x\right)"," ",0,"-1/9*(b*e*n - 3*a*e)*x^3 - 1/4*(b*d*n - 2*a*d)*x^2 + 1/6*(2*b*e*x^3 + 3*b*d*x^2)*log(c) + 1/6*(2*b*e*n*x^3 + 3*b*d*n*x^2)*log(x)","A",0
4,1,61,0,0.813780," ","integrate((e*x+d)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{4} \, {\left(b e n - 2 \, a e\right)} x^{2} - {\left(b d n - a d\right)} x + \frac{1}{2} \, {\left(b e x^{2} + 2 \, b d x\right)} \log\left(c\right) + \frac{1}{2} \, {\left(b e n x^{2} + 2 \, b d n x\right)} \log\left(x\right)"," ",0,"-1/4*(b*e*n - 2*a*e)*x^2 - (b*d*n - a*d)*x + 1/2*(b*e*x^2 + 2*b*d*x)*log(c) + 1/2*(b*e*n*x^2 + 2*b*d*n*x)*log(x)","A",0
5,1,45,0,0.896724," ","integrate((e*x+d)*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{1}{2} \, b d n \log\left(x\right)^{2} + b e x \log\left(c\right) - {\left(b e n - a e\right)} x + {\left(b e n x + b d \log\left(c\right) + a d\right)} \log\left(x\right)"," ",0,"1/2*b*d*n*log(x)^2 + b*e*x*log(c) - (b*e*n - a*e)*x + (b*e*n*x + b*d*log(c) + a*d)*log(x)","A",0
6,1,50,0,0.779293," ","integrate((e*x+d)*(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","\frac{b e n x \log\left(x\right)^{2} - 2 \, b d n - 2 \, b d \log\left(c\right) - 2 \, a d + 2 \, {\left(b e x \log\left(c\right) - b d n + a e x\right)} \log\left(x\right)}{2 \, x}"," ",0,"1/2*(b*e*n*x*log(x)^2 - 2*b*d*n - 2*b*d*log(c) - 2*a*d + 2*(b*e*x*log(c) - b*d*n + a*e*x)*log(x))/x","A",0
7,1,53,0,0.861877," ","integrate((e*x+d)*(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","-\frac{b d n + 2 \, a d + 4 \, {\left(b e n + a e\right)} x + 2 \, {\left(2 \, b e x + b d\right)} \log\left(c\right) + 2 \, {\left(2 \, b e n x + b d n\right)} \log\left(x\right)}{4 \, x^{2}}"," ",0,"-1/4*(b*d*n + 2*a*d + 4*(b*e*n + a*e)*x + 2*(2*b*e*x + b*d)*log(c) + 2*(2*b*e*n*x + b*d*n)*log(x))/x^2","A",0
8,1,57,0,0.921653," ","integrate((e*x+d)*(a+b*log(c*x^n))/x^4,x, algorithm=""fricas"")","-\frac{4 \, b d n + 12 \, a d + 9 \, {\left(b e n + 2 \, a e\right)} x + 6 \, {\left(3 \, b e x + 2 \, b d\right)} \log\left(c\right) + 6 \, {\left(3 \, b e n x + 2 \, b d n\right)} \log\left(x\right)}{36 \, x^{3}}"," ",0,"-1/36*(4*b*d*n + 12*a*d + 9*(b*e*n + 2*a*e)*x + 6*(3*b*e*x + 2*b*d)*log(c) + 6*(3*b*e*n*x + 2*b*d*n)*log(x))/x^3","A",0
9,1,118,0,1.136214," ","integrate(x^3*(e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{36} \, {\left(b e^{2} n - 6 \, a e^{2}\right)} x^{6} - \frac{2}{25} \, {\left(b d e n - 5 \, a d e\right)} x^{5} - \frac{1}{16} \, {\left(b d^{2} n - 4 \, a d^{2}\right)} x^{4} + \frac{1}{60} \, {\left(10 \, b e^{2} x^{6} + 24 \, b d e x^{5} + 15 \, b d^{2} x^{4}\right)} \log\left(c\right) + \frac{1}{60} \, {\left(10 \, b e^{2} n x^{6} + 24 \, b d e n x^{5} + 15 \, b d^{2} n x^{4}\right)} \log\left(x\right)"," ",0,"-1/36*(b*e^2*n - 6*a*e^2)*x^6 - 2/25*(b*d*e*n - 5*a*d*e)*x^5 - 1/16*(b*d^2*n - 4*a*d^2)*x^4 + 1/60*(10*b*e^2*x^6 + 24*b*d*e*x^5 + 15*b*d^2*x^4)*log(c) + 1/60*(10*b*e^2*n*x^6 + 24*b*d*e*n*x^5 + 15*b*d^2*n*x^4)*log(x)","A",0
10,1,118,0,0.852980," ","integrate(x^2*(e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{25} \, {\left(b e^{2} n - 5 \, a e^{2}\right)} x^{5} - \frac{1}{8} \, {\left(b d e n - 4 \, a d e\right)} x^{4} - \frac{1}{9} \, {\left(b d^{2} n - 3 \, a d^{2}\right)} x^{3} + \frac{1}{30} \, {\left(6 \, b e^{2} x^{5} + 15 \, b d e x^{4} + 10 \, b d^{2} x^{3}\right)} \log\left(c\right) + \frac{1}{30} \, {\left(6 \, b e^{2} n x^{5} + 15 \, b d e n x^{4} + 10 \, b d^{2} n x^{3}\right)} \log\left(x\right)"," ",0,"-1/25*(b*e^2*n - 5*a*e^2)*x^5 - 1/8*(b*d*e*n - 4*a*d*e)*x^4 - 1/9*(b*d^2*n - 3*a*d^2)*x^3 + 1/30*(6*b*e^2*x^5 + 15*b*d*e*x^4 + 10*b*d^2*x^3)*log(c) + 1/30*(6*b*e^2*n*x^5 + 15*b*d*e*n*x^4 + 10*b*d^2*n*x^3)*log(x)","A",0
11,1,118,0,0.781171," ","integrate(x*(e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{16} \, {\left(b e^{2} n - 4 \, a e^{2}\right)} x^{4} - \frac{2}{9} \, {\left(b d e n - 3 \, a d e\right)} x^{3} - \frac{1}{4} \, {\left(b d^{2} n - 2 \, a d^{2}\right)} x^{2} + \frac{1}{12} \, {\left(3 \, b e^{2} x^{4} + 8 \, b d e x^{3} + 6 \, b d^{2} x^{2}\right)} \log\left(c\right) + \frac{1}{12} \, {\left(3 \, b e^{2} n x^{4} + 8 \, b d e n x^{3} + 6 \, b d^{2} n x^{2}\right)} \log\left(x\right)"," ",0,"-1/16*(b*e^2*n - 4*a*e^2)*x^4 - 2/9*(b*d*e*n - 3*a*d*e)*x^3 - 1/4*(b*d^2*n - 2*a*d^2)*x^2 + 1/12*(3*b*e^2*x^4 + 8*b*d*e*x^3 + 6*b*d^2*x^2)*log(c) + 1/12*(3*b*e^2*n*x^4 + 8*b*d*e*n*x^3 + 6*b*d^2*n*x^2)*log(x)","A",0
12,1,110,0,0.671330," ","integrate((e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{9} \, {\left(b e^{2} n - 3 \, a e^{2}\right)} x^{3} - \frac{1}{2} \, {\left(b d e n - 2 \, a d e\right)} x^{2} - {\left(b d^{2} n - a d^{2}\right)} x + \frac{1}{3} \, {\left(b e^{2} x^{3} + 3 \, b d e x^{2} + 3 \, b d^{2} x\right)} \log\left(c\right) + \frac{1}{3} \, {\left(b e^{2} n x^{3} + 3 \, b d e n x^{2} + 3 \, b d^{2} n x\right)} \log\left(x\right)"," ",0,"-1/9*(b*e^2*n - 3*a*e^2)*x^3 - 1/2*(b*d*e*n - 2*a*d*e)*x^2 - (b*d^2*n - a*d^2)*x + 1/3*(b*e^2*x^3 + 3*b*d*e*x^2 + 3*b*d^2*x)*log(c) + 1/3*(b*e^2*n*x^3 + 3*b*d*e*n*x^2 + 3*b*d^2*n*x)*log(x)","A",0
13,1,98,0,0.849461," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{1}{2} \, b d^{2} n \log\left(x\right)^{2} - \frac{1}{4} \, {\left(b e^{2} n - 2 \, a e^{2}\right)} x^{2} - 2 \, {\left(b d e n - a d e\right)} x + \frac{1}{2} \, {\left(b e^{2} x^{2} + 4 \, b d e x\right)} \log\left(c\right) + \frac{1}{2} \, {\left(b e^{2} n x^{2} + 4 \, b d e n x + 2 \, b d^{2} \log\left(c\right) + 2 \, a d^{2}\right)} \log\left(x\right)"," ",0,"1/2*b*d^2*n*log(x)^2 - 1/4*(b*e^2*n - 2*a*e^2)*x^2 - 2*(b*d*e*n - a*d*e)*x + 1/2*(b*e^2*x^2 + 4*b*d*e*x)*log(c) + 1/2*(b*e^2*n*x^2 + 4*b*d*e*n*x + 2*b*d^2*log(c) + 2*a*d^2)*log(x)","A",0
14,1,98,0,0.752816," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","\frac{b d e n x \log\left(x\right)^{2} - b d^{2} n - a d^{2} - {\left(b e^{2} n - a e^{2}\right)} x^{2} + {\left(b e^{2} x^{2} - b d^{2}\right)} \log\left(c\right) + {\left(b e^{2} n x^{2} + 2 \, b d e x \log\left(c\right) - b d^{2} n + 2 \, a d e x\right)} \log\left(x\right)}{x}"," ",0,"(b*d*e*n*x*log(x)^2 - b*d^2*n - a*d^2 - (b*e^2*n - a*e^2)*x^2 + (b*e^2*x^2 - b*d^2)*log(c) + (b*e^2*n*x^2 + 2*b*d*e*x*log(c) - b*d^2*n + 2*a*d*e*x)*log(x))/x","A",0
15,1,101,0,0.875833," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","\frac{2 \, b e^{2} n x^{2} \log\left(x\right)^{2} - b d^{2} n - 2 \, a d^{2} - 8 \, {\left(b d e n + a d e\right)} x - 2 \, {\left(4 \, b d e x + b d^{2}\right)} \log\left(c\right) + 2 \, {\left(2 \, b e^{2} x^{2} \log\left(c\right) - 4 \, b d e n x + 2 \, a e^{2} x^{2} - b d^{2} n\right)} \log\left(x\right)}{4 \, x^{2}}"," ",0,"1/4*(2*b*e^2*n*x^2*log(x)^2 - b*d^2*n - 2*a*d^2 - 8*(b*d*e*n + a*d*e)*x - 2*(4*b*d*e*x + b*d^2)*log(c) + 2*(2*b*e^2*x^2*log(c) - 4*b*d*e*n*x + 2*a*e^2*x^2 - b*d^2*n)*log(x))/x^2","A",0
16,1,103,0,0.857610," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^4,x, algorithm=""fricas"")","-\frac{2 \, b d^{2} n + 6 \, a d^{2} + 18 \, {\left(b e^{2} n + a e^{2}\right)} x^{2} + 9 \, {\left(b d e n + 2 \, a d e\right)} x + 6 \, {\left(3 \, b e^{2} x^{2} + 3 \, b d e x + b d^{2}\right)} \log\left(c\right) + 6 \, {\left(3 \, b e^{2} n x^{2} + 3 \, b d e n x + b d^{2} n\right)} \log\left(x\right)}{18 \, x^{3}}"," ",0,"-1/18*(2*b*d^2*n + 6*a*d^2 + 18*(b*e^2*n + a*e^2)*x^2 + 9*(b*d*e*n + 2*a*d*e)*x + 6*(3*b*e^2*x^2 + 3*b*d*e*x + b*d^2)*log(c) + 6*(3*b*e^2*n*x^2 + 3*b*d*e*n*x + b*d^2*n)*log(x))/x^3","A",0
17,1,106,0,0.672270," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^5,x, algorithm=""fricas"")","-\frac{9 \, b d^{2} n + 36 \, a d^{2} + 36 \, {\left(b e^{2} n + 2 \, a e^{2}\right)} x^{2} + 32 \, {\left(b d e n + 3 \, a d e\right)} x + 12 \, {\left(6 \, b e^{2} x^{2} + 8 \, b d e x + 3 \, b d^{2}\right)} \log\left(c\right) + 12 \, {\left(6 \, b e^{2} n x^{2} + 8 \, b d e n x + 3 \, b d^{2} n\right)} \log\left(x\right)}{144 \, x^{4}}"," ",0,"-1/144*(9*b*d^2*n + 36*a*d^2 + 36*(b*e^2*n + 2*a*e^2)*x^2 + 32*(b*d*e*n + 3*a*d*e)*x + 12*(6*b*e^2*x^2 + 8*b*d*e*x + 3*b*d^2)*log(c) + 12*(6*b*e^2*n*x^2 + 8*b*d*e*n*x + 3*b*d^2*n)*log(x))/x^4","A",0
18,1,106,0,0.930278," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^6,x, algorithm=""fricas"")","-\frac{72 \, b d^{2} n + 360 \, a d^{2} + 200 \, {\left(b e^{2} n + 3 \, a e^{2}\right)} x^{2} + 225 \, {\left(b d e n + 4 \, a d e\right)} x + 60 \, {\left(10 \, b e^{2} x^{2} + 15 \, b d e x + 6 \, b d^{2}\right)} \log\left(c\right) + 60 \, {\left(10 \, b e^{2} n x^{2} + 15 \, b d e n x + 6 \, b d^{2} n\right)} \log\left(x\right)}{1800 \, x^{5}}"," ",0,"-1/1800*(72*b*d^2*n + 360*a*d^2 + 200*(b*e^2*n + 3*a*e^2)*x^2 + 225*(b*d*e*n + 4*a*d*e)*x + 60*(10*b*e^2*x^2 + 15*b*d*e*x + 6*b*d^2)*log(c) + 60*(10*b*e^2*n*x^2 + 15*b*d*e*n*x + 6*b*d^2*n)*log(x))/x^5","A",0
19,1,167,0,0.892142," ","integrate(x^3*(e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{49} \, {\left(b e^{3} n - 7 \, a e^{3}\right)} x^{7} - \frac{1}{12} \, {\left(b d e^{2} n - 6 \, a d e^{2}\right)} x^{6} - \frac{3}{25} \, {\left(b d^{2} e n - 5 \, a d^{2} e\right)} x^{5} - \frac{1}{16} \, {\left(b d^{3} n - 4 \, a d^{3}\right)} x^{4} + \frac{1}{140} \, {\left(20 \, b e^{3} x^{7} + 70 \, b d e^{2} x^{6} + 84 \, b d^{2} e x^{5} + 35 \, b d^{3} x^{4}\right)} \log\left(c\right) + \frac{1}{140} \, {\left(20 \, b e^{3} n x^{7} + 70 \, b d e^{2} n x^{6} + 84 \, b d^{2} e n x^{5} + 35 \, b d^{3} n x^{4}\right)} \log\left(x\right)"," ",0,"-1/49*(b*e^3*n - 7*a*e^3)*x^7 - 1/12*(b*d*e^2*n - 6*a*d*e^2)*x^6 - 3/25*(b*d^2*e*n - 5*a*d^2*e)*x^5 - 1/16*(b*d^3*n - 4*a*d^3)*x^4 + 1/140*(20*b*e^3*x^7 + 70*b*d*e^2*x^6 + 84*b*d^2*e*x^5 + 35*b*d^3*x^4)*log(c) + 1/140*(20*b*e^3*n*x^7 + 70*b*d*e^2*n*x^6 + 84*b*d^2*e*n*x^5 + 35*b*d^3*n*x^4)*log(x)","A",0
20,1,167,0,0.782109," ","integrate(x^2*(e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{36} \, {\left(b e^{3} n - 6 \, a e^{3}\right)} x^{6} - \frac{3}{25} \, {\left(b d e^{2} n - 5 \, a d e^{2}\right)} x^{5} - \frac{3}{16} \, {\left(b d^{2} e n - 4 \, a d^{2} e\right)} x^{4} - \frac{1}{9} \, {\left(b d^{3} n - 3 \, a d^{3}\right)} x^{3} + \frac{1}{60} \, {\left(10 \, b e^{3} x^{6} + 36 \, b d e^{2} x^{5} + 45 \, b d^{2} e x^{4} + 20 \, b d^{3} x^{3}\right)} \log\left(c\right) + \frac{1}{60} \, {\left(10 \, b e^{3} n x^{6} + 36 \, b d e^{2} n x^{5} + 45 \, b d^{2} e n x^{4} + 20 \, b d^{3} n x^{3}\right)} \log\left(x\right)"," ",0,"-1/36*(b*e^3*n - 6*a*e^3)*x^6 - 3/25*(b*d*e^2*n - 5*a*d*e^2)*x^5 - 3/16*(b*d^2*e*n - 4*a*d^2*e)*x^4 - 1/9*(b*d^3*n - 3*a*d^3)*x^3 + 1/60*(10*b*e^3*x^6 + 36*b*d*e^2*x^5 + 45*b*d^2*e*x^4 + 20*b*d^3*x^3)*log(c) + 1/60*(10*b*e^3*n*x^6 + 36*b*d*e^2*n*x^5 + 45*b*d^2*e*n*x^4 + 20*b*d^3*n*x^3)*log(x)","A",0
21,1,167,0,0.855830," ","integrate(x*(e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{25} \, {\left(b e^{3} n - 5 \, a e^{3}\right)} x^{5} - \frac{3}{16} \, {\left(b d e^{2} n - 4 \, a d e^{2}\right)} x^{4} - \frac{1}{3} \, {\left(b d^{2} e n - 3 \, a d^{2} e\right)} x^{3} - \frac{1}{4} \, {\left(b d^{3} n - 2 \, a d^{3}\right)} x^{2} + \frac{1}{20} \, {\left(4 \, b e^{3} x^{5} + 15 \, b d e^{2} x^{4} + 20 \, b d^{2} e x^{3} + 10 \, b d^{3} x^{2}\right)} \log\left(c\right) + \frac{1}{20} \, {\left(4 \, b e^{3} n x^{5} + 15 \, b d e^{2} n x^{4} + 20 \, b d^{2} e n x^{3} + 10 \, b d^{3} n x^{2}\right)} \log\left(x\right)"," ",0,"-1/25*(b*e^3*n - 5*a*e^3)*x^5 - 3/16*(b*d*e^2*n - 4*a*d*e^2)*x^4 - 1/3*(b*d^2*e*n - 3*a*d^2*e)*x^3 - 1/4*(b*d^3*n - 2*a*d^3)*x^2 + 1/20*(4*b*e^3*x^5 + 15*b*d*e^2*x^4 + 20*b*d^2*e*x^3 + 10*b*d^3*x^2)*log(c) + 1/20*(4*b*e^3*n*x^5 + 15*b*d*e^2*n*x^4 + 20*b*d^2*e*n*x^3 + 10*b*d^3*n*x^2)*log(x)","A",0
22,1,159,0,0.689299," ","integrate((e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{16} \, {\left(b e^{3} n - 4 \, a e^{3}\right)} x^{4} - \frac{1}{3} \, {\left(b d e^{2} n - 3 \, a d e^{2}\right)} x^{3} - \frac{3}{4} \, {\left(b d^{2} e n - 2 \, a d^{2} e\right)} x^{2} - {\left(b d^{3} n - a d^{3}\right)} x + \frac{1}{4} \, {\left(b e^{3} x^{4} + 4 \, b d e^{2} x^{3} + 6 \, b d^{2} e x^{2} + 4 \, b d^{3} x\right)} \log\left(c\right) + \frac{1}{4} \, {\left(b e^{3} n x^{4} + 4 \, b d e^{2} n x^{3} + 6 \, b d^{2} e n x^{2} + 4 \, b d^{3} n x\right)} \log\left(x\right)"," ",0,"-1/16*(b*e^3*n - 4*a*e^3)*x^4 - 1/3*(b*d*e^2*n - 3*a*d*e^2)*x^3 - 3/4*(b*d^2*e*n - 2*a*d^2*e)*x^2 - (b*d^3*n - a*d^3)*x + 1/4*(b*e^3*x^4 + 4*b*d*e^2*x^3 + 6*b*d^2*e*x^2 + 4*b*d^3*x)*log(c) + 1/4*(b*e^3*n*x^4 + 4*b*d*e^2*n*x^3 + 6*b*d^2*e*n*x^2 + 4*b*d^3*n*x)*log(x)","B",0
23,1,149,0,0.771401," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{1}{2} \, b d^{3} n \log\left(x\right)^{2} - \frac{1}{9} \, {\left(b e^{3} n - 3 \, a e^{3}\right)} x^{3} - \frac{3}{4} \, {\left(b d e^{2} n - 2 \, a d e^{2}\right)} x^{2} - 3 \, {\left(b d^{2} e n - a d^{2} e\right)} x + \frac{1}{6} \, {\left(2 \, b e^{3} x^{3} + 9 \, b d e^{2} x^{2} + 18 \, b d^{2} e x\right)} \log\left(c\right) + \frac{1}{6} \, {\left(2 \, b e^{3} n x^{3} + 9 \, b d e^{2} n x^{2} + 18 \, b d^{2} e n x + 6 \, b d^{3} \log\left(c\right) + 6 \, a d^{3}\right)} \log\left(x\right)"," ",0,"1/2*b*d^3*n*log(x)^2 - 1/9*(b*e^3*n - 3*a*e^3)*x^3 - 3/4*(b*d*e^2*n - 2*a*d*e^2)*x^2 - 3*(b*d^2*e*n - a*d^2*e)*x + 1/6*(2*b*e^3*x^3 + 9*b*d*e^2*x^2 + 18*b*d^2*e*x)*log(c) + 1/6*(2*b*e^3*n*x^3 + 9*b*d*e^2*n*x^2 + 18*b*d^2*e*n*x + 6*b*d^3*log(c) + 6*a*d^3)*log(x)","A",0
24,1,149,0,1.186496," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","\frac{6 \, b d^{2} e n x \log\left(x\right)^{2} - 4 \, b d^{3} n - 4 \, a d^{3} - {\left(b e^{3} n - 2 \, a e^{3}\right)} x^{3} - 12 \, {\left(b d e^{2} n - a d e^{2}\right)} x^{2} + 2 \, {\left(b e^{3} x^{3} + 6 \, b d e^{2} x^{2} - 2 \, b d^{3}\right)} \log\left(c\right) + 2 \, {\left(b e^{3} n x^{3} + 6 \, b d e^{2} n x^{2} + 6 \, b d^{2} e x \log\left(c\right) - 2 \, b d^{3} n + 6 \, a d^{2} e x\right)} \log\left(x\right)}{4 \, x}"," ",0,"1/4*(6*b*d^2*e*n*x*log(x)^2 - 4*b*d^3*n - 4*a*d^3 - (b*e^3*n - 2*a*e^3)*x^3 - 12*(b*d*e^2*n - a*d*e^2)*x^2 + 2*(b*e^3*x^3 + 6*b*d*e^2*x^2 - 2*b*d^3)*log(c) + 2*(b*e^3*n*x^3 + 6*b*d*e^2*n*x^2 + 6*b*d^2*e*x*log(c) - 2*b*d^3*n + 6*a*d^2*e*x)*log(x))/x","A",0
25,1,150,0,0.867260," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","\frac{6 \, b d e^{2} n x^{2} \log\left(x\right)^{2} - b d^{3} n - 2 \, a d^{3} - 4 \, {\left(b e^{3} n - a e^{3}\right)} x^{3} - 12 \, {\left(b d^{2} e n + a d^{2} e\right)} x + 2 \, {\left(2 \, b e^{3} x^{3} - 6 \, b d^{2} e x - b d^{3}\right)} \log\left(c\right) + 2 \, {\left(2 \, b e^{3} n x^{3} + 6 \, b d e^{2} x^{2} \log\left(c\right) - 6 \, b d^{2} e n x + 6 \, a d e^{2} x^{2} - b d^{3} n\right)} \log\left(x\right)}{4 \, x^{2}}"," ",0,"1/4*(6*b*d*e^2*n*x^2*log(x)^2 - b*d^3*n - 2*a*d^3 - 4*(b*e^3*n - a*e^3)*x^3 - 12*(b*d^2*e*n + a*d^2*e)*x + 2*(2*b*e^3*x^3 - 6*b*d^2*e*x - b*d^3)*log(c) + 2*(2*b*e^3*n*x^3 + 6*b*d*e^2*x^2*log(c) - 6*b*d^2*e*n*x + 6*a*d*e^2*x^2 - b*d^3*n)*log(x))/x^2","A",0
26,1,151,0,0.921730," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^4,x, algorithm=""fricas"")","\frac{18 \, b e^{3} n x^{3} \log\left(x\right)^{2} - 4 \, b d^{3} n - 12 \, a d^{3} - 108 \, {\left(b d e^{2} n + a d e^{2}\right)} x^{2} - 27 \, {\left(b d^{2} e n + 2 \, a d^{2} e\right)} x - 6 \, {\left(18 \, b d e^{2} x^{2} + 9 \, b d^{2} e x + 2 \, b d^{3}\right)} \log\left(c\right) + 6 \, {\left(6 \, b e^{3} x^{3} \log\left(c\right) - 18 \, b d e^{2} n x^{2} + 6 \, a e^{3} x^{3} - 9 \, b d^{2} e n x - 2 \, b d^{3} n\right)} \log\left(x\right)}{36 \, x^{3}}"," ",0,"1/36*(18*b*e^3*n*x^3*log(x)^2 - 4*b*d^3*n - 12*a*d^3 - 108*(b*d*e^2*n + a*d*e^2)*x^2 - 27*(b*d^2*e*n + 2*a*d^2*e)*x - 6*(18*b*d*e^2*x^2 + 9*b*d^2*e*x + 2*b*d^3)*log(c) + 6*(6*b*e^3*x^3*log(c) - 18*b*d*e^2*n*x^2 + 6*a*e^3*x^3 - 9*b*d^2*e*n*x - 2*b*d^3*n)*log(x))/x^3","A",0
27,1,152,0,0.861535," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^5,x, algorithm=""fricas"")","-\frac{3 \, b d^{3} n + 12 \, a d^{3} + 48 \, {\left(b e^{3} n + a e^{3}\right)} x^{3} + 36 \, {\left(b d e^{2} n + 2 \, a d e^{2}\right)} x^{2} + 16 \, {\left(b d^{2} e n + 3 \, a d^{2} e\right)} x + 12 \, {\left(4 \, b e^{3} x^{3} + 6 \, b d e^{2} x^{2} + 4 \, b d^{2} e x + b d^{3}\right)} \log\left(c\right) + 12 \, {\left(4 \, b e^{3} n x^{3} + 6 \, b d e^{2} n x^{2} + 4 \, b d^{2} e n x + b d^{3} n\right)} \log\left(x\right)}{48 \, x^{4}}"," ",0,"-1/48*(3*b*d^3*n + 12*a*d^3 + 48*(b*e^3*n + a*e^3)*x^3 + 36*(b*d*e^2*n + 2*a*d*e^2)*x^2 + 16*(b*d^2*e*n + 3*a*d^2*e)*x + 12*(4*b*e^3*x^3 + 6*b*d*e^2*x^2 + 4*b*d^2*e*x + b*d^3)*log(c) + 12*(4*b*e^3*n*x^3 + 6*b*d*e^2*n*x^2 + 4*b*d^2*e*n*x + b*d^3*n)*log(x))/x^4","A",0
28,1,155,0,1.656137," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^6,x, algorithm=""fricas"")","-\frac{48 \, b d^{3} n + 240 \, a d^{3} + 300 \, {\left(b e^{3} n + 2 \, a e^{3}\right)} x^{3} + 400 \, {\left(b d e^{2} n + 3 \, a d e^{2}\right)} x^{2} + 225 \, {\left(b d^{2} e n + 4 \, a d^{2} e\right)} x + 60 \, {\left(10 \, b e^{3} x^{3} + 20 \, b d e^{2} x^{2} + 15 \, b d^{2} e x + 4 \, b d^{3}\right)} \log\left(c\right) + 60 \, {\left(10 \, b e^{3} n x^{3} + 20 \, b d e^{2} n x^{2} + 15 \, b d^{2} e n x + 4 \, b d^{3} n\right)} \log\left(x\right)}{1200 \, x^{5}}"," ",0,"-1/1200*(48*b*d^3*n + 240*a*d^3 + 300*(b*e^3*n + 2*a*e^3)*x^3 + 400*(b*d*e^2*n + 3*a*d*e^2)*x^2 + 225*(b*d^2*e*n + 4*a*d^2*e)*x + 60*(10*b*e^3*x^3 + 20*b*d*e^2*x^2 + 15*b*d^2*e*x + 4*b*d^3)*log(c) + 60*(10*b*e^3*n*x^3 + 20*b*d*e^2*n*x^2 + 15*b*d^2*e*n*x + 4*b*d^3*n)*log(x))/x^5","A",0
29,1,155,0,1.225611," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^7,x, algorithm=""fricas"")","-\frac{100 \, b d^{3} n + 600 \, a d^{3} + 400 \, {\left(b e^{3} n + 3 \, a e^{3}\right)} x^{3} + 675 \, {\left(b d e^{2} n + 4 \, a d e^{2}\right)} x^{2} + 432 \, {\left(b d^{2} e n + 5 \, a d^{2} e\right)} x + 60 \, {\left(20 \, b e^{3} x^{3} + 45 \, b d e^{2} x^{2} + 36 \, b d^{2} e x + 10 \, b d^{3}\right)} \log\left(c\right) + 60 \, {\left(20 \, b e^{3} n x^{3} + 45 \, b d e^{2} n x^{2} + 36 \, b d^{2} e n x + 10 \, b d^{3} n\right)} \log\left(x\right)}{3600 \, x^{6}}"," ",0,"-1/3600*(100*b*d^3*n + 600*a*d^3 + 400*(b*e^3*n + 3*a*e^3)*x^3 + 675*(b*d*e^2*n + 4*a*d*e^2)*x^2 + 432*(b*d^2*e*n + 5*a*d^2*e)*x + 60*(20*b*e^3*x^3 + 45*b*d*e^2*x^2 + 36*b*d^2*e*x + 10*b*d^3)*log(c) + 60*(20*b*e^3*n*x^3 + 45*b*d*e^2*n*x^2 + 36*b*d^2*e*n*x + 10*b*d^3*n)*log(x))/x^6","A",0
30,1,155,0,1.364288," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^8,x, algorithm=""fricas"")","-\frac{1200 \, b d^{3} n + 8400 \, a d^{3} + 3675 \, {\left(b e^{3} n + 4 \, a e^{3}\right)} x^{3} + 7056 \, {\left(b d e^{2} n + 5 \, a d e^{2}\right)} x^{2} + 4900 \, {\left(b d^{2} e n + 6 \, a d^{2} e\right)} x + 420 \, {\left(35 \, b e^{3} x^{3} + 84 \, b d e^{2} x^{2} + 70 \, b d^{2} e x + 20 \, b d^{3}\right)} \log\left(c\right) + 420 \, {\left(35 \, b e^{3} n x^{3} + 84 \, b d e^{2} n x^{2} + 70 \, b d^{2} e n x + 20 \, b d^{3} n\right)} \log\left(x\right)}{58800 \, x^{7}}"," ",0,"-1/58800*(1200*b*d^3*n + 8400*a*d^3 + 3675*(b*e^3*n + 4*a*e^3)*x^3 + 7056*(b*d*e^2*n + 5*a*d*e^2)*x^2 + 4900*(b*d^2*e*n + 6*a*d^2*e)*x + 420*(35*b*e^3*x^3 + 84*b*d*e^2*x^2 + 70*b*d^2*e*x + 20*b*d^3)*log(c) + 420*(35*b*e^3*n*x^3 + 84*b*d*e^2*n*x^2 + 70*b*d^2*e*n*x + 20*b*d^3*n)*log(x))/x^7","A",0
31,0,0,0,0.740306," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left(c x^{n}\right) + a x^{3}}{e x + d}, x\right)"," ",0,"integral((b*x^3*log(c*x^n) + a*x^3)/(e*x + d), x)","F",0
32,0,0,0,0.777238," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left(c x^{n}\right) + a x^{2}}{e x + d}, x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)/(e*x + d), x)","F",0
33,0,0,0,0.776073," ","integrate(x*(a+b*log(c*x^n))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x \log\left(c x^{n}\right) + a x}{e x + d}, x\right)"," ",0,"integral((b*x*log(c*x^n) + a*x)/(e*x + d), x)","F",0
34,0,0,0,1.352597," ","integrate((a+b*log(c*x^n))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x + d}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x + d), x)","F",0
35,0,0,0,0.663834," ","integrate((a+b*log(c*x^n))/x/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x^{2} + d x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x^2 + d*x), x)","F",0
36,0,0,0,0.904556," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x^{3} + d x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x^3 + d*x^2), x)","F",0
37,0,0,0,1.037252," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x^{4} + d x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x^4 + d*x^3), x)","F",0
38,0,0,0,1.010091," ","integrate((a+b*log(c*x^n))/x^4/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x^{5} + d x^{4}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x^5 + d*x^4), x)","F",0
39,0,0,0,0.901978," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left(c x^{n}\right) + a x^{3}}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((b*x^3*log(c*x^n) + a*x^3)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
40,0,0,0,0.875343," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left(c x^{n}\right) + a x^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
41,0,0,0,0.944232," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x \log\left(c x^{n}\right) + a x}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((b*x*log(c*x^n) + a*x)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
42,1,51,0,0.864825," ","integrate((a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""fricas"")","\frac{b e n x \log\left(x\right) - b d \log\left(c\right) - a d - {\left(b e n x + b d n\right)} \log\left(e x + d\right)}{d e^{2} x + d^{2} e}"," ",0,"(b*e*n*x*log(x) - b*d*log(c) - a*d - (b*e*n*x + b*d*n)*log(e*x + d))/(d*e^2*x + d^2*e)","A",0
43,0,0,0,0.767311," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{2} x^{3} + 2 \, d e x^{2} + d^{2} x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^2*x^3 + 2*d*e*x^2 + d^2*x), x)","F",0
44,0,0,0,0.758280," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{2} x^{4} + 2 \, d e x^{3} + d^{2} x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^2*x^4 + 2*d*e*x^3 + d^2*x^2), x)","F",0
45,0,0,0,1.019168," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{2} x^{5} + 2 \, d e x^{4} + d^{2} x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^2*x^5 + 2*d*e*x^4 + d^2*x^3), x)","F",0
46,0,0,0,0.869302," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left(c x^{n}\right) + a x^{3}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((b*x^3*log(c*x^n) + a*x^3)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
47,0,0,0,0.941825," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left(c x^{n}\right) + a x^{2}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
48,1,115,0,0.959575," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""fricas"")","\frac{b e^{2} n x^{2} \log\left(x\right) - b d^{2} n - a d^{2} - {\left(b d e n + 2 \, a d e\right)} x - {\left(b e^{2} n x^{2} + 2 \, b d e n x + b d^{2} n\right)} \log\left(e x + d\right) - {\left(2 \, b d e x + b d^{2}\right)} \log\left(c\right)}{2 \, {\left(d e^{4} x^{2} + 2 \, d^{2} e^{3} x + d^{3} e^{2}\right)}}"," ",0,"1/2*(b*e^2*n*x^2*log(x) - b*d^2*n - a*d^2 - (b*d*e*n + 2*a*d*e)*x - (b*e^2*n*x^2 + 2*b*d*e*n*x + b*d^2*n)*log(e*x + d) - (2*b*d*e*x + b*d^2)*log(c))/(d*e^4*x^2 + 2*d^2*e^3*x + d^3*e^2)","B",0
49,1,107,0,0.710428," ","integrate((a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""fricas"")","\frac{b d e n x + b d^{2} n - b d^{2} \log\left(c\right) - a d^{2} - {\left(b e^{2} n x^{2} + 2 \, b d e n x + b d^{2} n\right)} \log\left(e x + d\right) + {\left(b e^{2} n x^{2} + 2 \, b d e n x\right)} \log\left(x\right)}{2 \, {\left(d^{2} e^{3} x^{2} + 2 \, d^{3} e^{2} x + d^{4} e\right)}}"," ",0,"1/2*(b*d*e*n*x + b*d^2*n - b*d^2*log(c) - a*d^2 - (b*e^2*n*x^2 + 2*b*d*e*n*x + b*d^2*n)*log(e*x + d) + (b*e^2*n*x^2 + 2*b*d*e*n*x)*log(x))/(d^2*e^3*x^2 + 2*d^3*e^2*x + d^4*e)","A",0
50,0,0,0,0.718532," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{3} x^{4} + 3 \, d e^{2} x^{3} + 3 \, d^{2} e x^{2} + d^{3} x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^3*x^4 + 3*d*e^2*x^3 + 3*d^2*e*x^2 + d^3*x), x)","F",0
51,0,0,0,0.986489," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{3} x^{5} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{3} + d^{3} x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^3*x^5 + 3*d*e^2*x^4 + 3*d^2*e*x^3 + d^3*x^2), x)","F",0
52,0,0,0,0.722596," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{3} x^{6} + 3 \, d e^{2} x^{5} + 3 \, d^{2} e x^{4} + d^{3} x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^3*x^6 + 3*d*e^2*x^5 + 3*d^2*e*x^4 + d^3*x^3), x)","F",0
53,0,0,0,1.002400," ","integrate(x^5*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{5} \log\left(c x^{n}\right) + a x^{5}}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}, x\right)"," ",0,"integral((b*x^5*log(c*x^n) + a*x^5)/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
54,0,0,0,1.083545," ","integrate(x^4*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \log\left(c x^{n}\right) + a x^{4}}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}, x\right)"," ",0,"integral((b*x^4*log(c*x^n) + a*x^4)/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
55,0,0,0,0.841568," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left(c x^{n}\right) + a x^{3}}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}, x\right)"," ",0,"integral((b*x^3*log(c*x^n) + a*x^3)/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
56,1,178,0,1.002777," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""fricas"")","\frac{2 \, b e^{3} n x^{3} \log\left(x\right) - 3 \, b d^{3} n - 2 \, a d^{3} - 2 \, {\left(2 \, b d e^{2} n + 3 \, a d e^{2}\right)} x^{2} - {\left(7 \, b d^{2} e n + 6 \, a d^{2} e\right)} x - 2 \, {\left(b e^{3} n x^{3} + 3 \, b d e^{2} n x^{2} + 3 \, b d^{2} e n x + b d^{3} n\right)} \log\left(e x + d\right) - 2 \, {\left(3 \, b d e^{2} x^{2} + 3 \, b d^{2} e x + b d^{3}\right)} \log\left(c\right)}{6 \, {\left(d e^{6} x^{3} + 3 \, d^{2} e^{5} x^{2} + 3 \, d^{3} e^{4} x + d^{4} e^{3}\right)}}"," ",0,"1/6*(2*b*e^3*n*x^3*log(x) - 3*b*d^3*n - 2*a*d^3 - 2*(2*b*d*e^2*n + 3*a*d*e^2)*x^2 - (7*b*d^2*e*n + 6*a*d^2*e)*x - 2*(b*e^3*n*x^3 + 3*b*d*e^2*n*x^2 + 3*b*d^2*e*n*x + b*d^3*n)*log(e*x + d) - 2*(3*b*d*e^2*x^2 + 3*b*d^2*e*x + b*d^3)*log(c))/(d*e^6*x^3 + 3*d^2*e^5*x^2 + 3*d^3*e^4*x + d^4*e^3)","B",0
57,1,162,0,1.020066," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""fricas"")","\frac{b d e^{2} n x^{2} - a d^{3} + {\left(b d^{2} e n - 3 \, a d^{2} e\right)} x - {\left(b e^{3} n x^{3} + 3 \, b d e^{2} n x^{2} + 3 \, b d^{2} e n x + b d^{3} n\right)} \log\left(e x + d\right) - {\left(3 \, b d^{2} e x + b d^{3}\right)} \log\left(c\right) + {\left(b e^{3} n x^{3} + 3 \, b d e^{2} n x^{2}\right)} \log\left(x\right)}{6 \, {\left(d^{2} e^{5} x^{3} + 3 \, d^{3} e^{4} x^{2} + 3 \, d^{4} e^{3} x + d^{5} e^{2}\right)}}"," ",0,"1/6*(b*d*e^2*n*x^2 - a*d^3 + (b*d^2*e*n - 3*a*d^2*e)*x - (b*e^3*n*x^3 + 3*b*d*e^2*n*x^2 + 3*b*d^2*e*n*x + b*d^3*n)*log(e*x + d) - (3*b*d^2*e*x + b*d^3)*log(c) + (b*e^3*n*x^3 + 3*b*d*e^2*n*x^2)*log(x))/(d^2*e^5*x^3 + 3*d^3*e^4*x^2 + 3*d^4*e^3*x + d^5*e^2)","A",0
58,1,160,0,0.900099," ","integrate((a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""fricas"")","\frac{2 \, b d e^{2} n x^{2} + 5 \, b d^{2} e n x + 3 \, b d^{3} n - 2 \, b d^{3} \log\left(c\right) - 2 \, a d^{3} - 2 \, {\left(b e^{3} n x^{3} + 3 \, b d e^{2} n x^{2} + 3 \, b d^{2} e n x + b d^{3} n\right)} \log\left(e x + d\right) + 2 \, {\left(b e^{3} n x^{3} + 3 \, b d e^{2} n x^{2} + 3 \, b d^{2} e n x\right)} \log\left(x\right)}{6 \, {\left(d^{3} e^{4} x^{3} + 3 \, d^{4} e^{3} x^{2} + 3 \, d^{5} e^{2} x + d^{6} e\right)}}"," ",0,"1/6*(2*b*d*e^2*n*x^2 + 5*b*d^2*e*n*x + 3*b*d^3*n - 2*b*d^3*log(c) - 2*a*d^3 - 2*(b*e^3*n*x^3 + 3*b*d*e^2*n*x^2 + 3*b*d^2*e*n*x + b*d^3*n)*log(e*x + d) + 2*(b*e^3*n*x^3 + 3*b*d*e^2*n*x^2 + 3*b*d^2*e*n*x)*log(x))/(d^3*e^4*x^3 + 3*d^4*e^3*x^2 + 3*d^5*e^2*x + d^6*e)","A",0
59,0,0,0,0.859975," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{4} x^{5} + 4 \, d e^{3} x^{4} + 6 \, d^{2} e^{2} x^{3} + 4 \, d^{3} e x^{2} + d^{4} x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^4*x^5 + 4*d*e^3*x^4 + 6*d^2*e^2*x^3 + 4*d^3*e*x^2 + d^4*x), x)","F",0
60,0,0,0,1.006722," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{4} x^{6} + 4 \, d e^{3} x^{5} + 6 \, d^{2} e^{2} x^{4} + 4 \, d^{3} e x^{3} + d^{4} x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^4*x^6 + 4*d*e^3*x^5 + 6*d^2*e^2*x^4 + 4*d^3*e*x^3 + d^4*x^2), x)","F",0
61,0,0,0,1.001117," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{4} x^{7} + 4 \, d e^{3} x^{6} + 6 \, d^{2} e^{2} x^{5} + 4 \, d^{3} e x^{4} + d^{4} x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^4*x^7 + 4*d*e^3*x^6 + 6*d^2*e^2*x^5 + 4*d^3*e*x^4 + d^4*x^3), x)","F",0
62,0,0,0,0.606875," ","integrate(x^8*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{8} \log\left(c x^{n}\right) + a x^{8}}{e^{7} x^{7} + 7 \, d e^{6} x^{6} + 21 \, d^{2} e^{5} x^{5} + 35 \, d^{3} e^{4} x^{4} + 35 \, d^{4} e^{3} x^{3} + 21 \, d^{5} e^{2} x^{2} + 7 \, d^{6} e x + d^{7}}, x\right)"," ",0,"integral((b*x^8*log(c*x^n) + a*x^8)/(e^7*x^7 + 7*d*e^6*x^6 + 21*d^2*e^5*x^5 + 35*d^3*e^4*x^4 + 35*d^4*e^3*x^3 + 21*d^5*e^2*x^2 + 7*d^6*e*x + d^7), x)","F",0
63,0,0,0,1.012278," ","integrate(x^7*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{7} \log\left(c x^{n}\right) + a x^{7}}{e^{7} x^{7} + 7 \, d e^{6} x^{6} + 21 \, d^{2} e^{5} x^{5} + 35 \, d^{3} e^{4} x^{4} + 35 \, d^{4} e^{3} x^{3} + 21 \, d^{5} e^{2} x^{2} + 7 \, d^{6} e x + d^{7}}, x\right)"," ",0,"integral((b*x^7*log(c*x^n) + a*x^7)/(e^7*x^7 + 7*d*e^6*x^6 + 21*d^2*e^5*x^5 + 35*d^3*e^4*x^4 + 35*d^4*e^3*x^3 + 21*d^5*e^2*x^2 + 7*d^6*e*x + d^7), x)","F",0
64,0,0,0,1.001124," ","integrate(x^6*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{6} \log\left(c x^{n}\right) + a x^{6}}{e^{7} x^{7} + 7 \, d e^{6} x^{6} + 21 \, d^{2} e^{5} x^{5} + 35 \, d^{3} e^{4} x^{4} + 35 \, d^{4} e^{3} x^{3} + 21 \, d^{5} e^{2} x^{2} + 7 \, d^{6} e x + d^{7}}, x\right)"," ",0,"integral((b*x^6*log(c*x^n) + a*x^6)/(e^7*x^7 + 7*d*e^6*x^6 + 21*d^2*e^5*x^5 + 35*d^3*e^4*x^4 + 35*d^4*e^3*x^3 + 21*d^5*e^2*x^2 + 7*d^6*e*x + d^7), x)","F",0
65,1,361,0,0.826422," ","integrate(x^5*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""fricas"")","\frac{60 \, b e^{6} n x^{6} \log\left(x\right) - 137 \, b d^{6} n - 60 \, a d^{6} - 60 \, {\left(5 \, b d e^{5} n + 6 \, a d e^{5}\right)} x^{5} - 300 \, {\left(4 \, b d^{2} e^{4} n + 3 \, a d^{2} e^{4}\right)} x^{4} - 400 \, {\left(5 \, b d^{3} e^{3} n + 3 \, a d^{3} e^{3}\right)} x^{3} - 75 \, {\left(23 \, b d^{4} e^{2} n + 12 \, a d^{4} e^{2}\right)} x^{2} - 6 \, {\left(127 \, b d^{5} e n + 60 \, a d^{5} e\right)} x - 60 \, {\left(b e^{6} n x^{6} + 6 \, b d e^{5} n x^{5} + 15 \, b d^{2} e^{4} n x^{4} + 20 \, b d^{3} e^{3} n x^{3} + 15 \, b d^{4} e^{2} n x^{2} + 6 \, b d^{5} e n x + b d^{6} n\right)} \log\left(e x + d\right) - 60 \, {\left(6 \, b d e^{5} x^{5} + 15 \, b d^{2} e^{4} x^{4} + 20 \, b d^{3} e^{3} x^{3} + 15 \, b d^{4} e^{2} x^{2} + 6 \, b d^{5} e x + b d^{6}\right)} \log\left(c\right)}{360 \, {\left(d e^{12} x^{6} + 6 \, d^{2} e^{11} x^{5} + 15 \, d^{3} e^{10} x^{4} + 20 \, d^{4} e^{9} x^{3} + 15 \, d^{5} e^{8} x^{2} + 6 \, d^{6} e^{7} x + d^{7} e^{6}\right)}}"," ",0,"1/360*(60*b*e^6*n*x^6*log(x) - 137*b*d^6*n - 60*a*d^6 - 60*(5*b*d*e^5*n + 6*a*d*e^5)*x^5 - 300*(4*b*d^2*e^4*n + 3*a*d^2*e^4)*x^4 - 400*(5*b*d^3*e^3*n + 3*a*d^3*e^3)*x^3 - 75*(23*b*d^4*e^2*n + 12*a*d^4*e^2)*x^2 - 6*(127*b*d^5*e*n + 60*a*d^5*e)*x - 60*(b*e^6*n*x^6 + 6*b*d*e^5*n*x^5 + 15*b*d^2*e^4*n*x^4 + 20*b*d^3*e^3*n*x^3 + 15*b*d^4*e^2*n*x^2 + 6*b*d^5*e*n*x + b*d^6*n)*log(e*x + d) - 60*(6*b*d*e^5*x^5 + 15*b*d^2*e^4*x^4 + 20*b*d^3*e^3*x^3 + 15*b*d^4*e^2*x^2 + 6*b*d^5*e*x + b*d^6)*log(c))/(d*e^12*x^6 + 6*d^2*e^11*x^5 + 15*d^3*e^10*x^4 + 20*d^4*e^9*x^3 + 15*d^5*e^8*x^2 + 6*d^6*e^7*x + d^7*e^6)","B",0
66,1,356,0,0.941127," ","integrate(x^4*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""fricas"")","\frac{12 \, b d e^{5} n x^{5} - 13 \, b d^{6} n - 12 \, a d^{6} - 12 \, {\left(2 \, b d^{2} e^{4} n + 15 \, a d^{2} e^{4}\right)} x^{4} - 16 \, {\left(7 \, b d^{3} e^{3} n + 15 \, a d^{3} e^{3}\right)} x^{3} - 3 \, {\left(43 \, b d^{4} e^{2} n + 60 \, a d^{4} e^{2}\right)} x^{2} - 6 \, {\left(11 \, b d^{5} e n + 12 \, a d^{5} e\right)} x - 12 \, {\left(b e^{6} n x^{6} + 6 \, b d e^{5} n x^{5} + 15 \, b d^{2} e^{4} n x^{4} + 20 \, b d^{3} e^{3} n x^{3} + 15 \, b d^{4} e^{2} n x^{2} + 6 \, b d^{5} e n x + b d^{6} n\right)} \log\left(e x + d\right) - 12 \, {\left(15 \, b d^{2} e^{4} x^{4} + 20 \, b d^{3} e^{3} x^{3} + 15 \, b d^{4} e^{2} x^{2} + 6 \, b d^{5} e x + b d^{6}\right)} \log\left(c\right) + 12 \, {\left(b e^{6} n x^{6} + 6 \, b d e^{5} n x^{5}\right)} \log\left(x\right)}{360 \, {\left(d^{2} e^{11} x^{6} + 6 \, d^{3} e^{10} x^{5} + 15 \, d^{4} e^{9} x^{4} + 20 \, d^{5} e^{8} x^{3} + 15 \, d^{6} e^{7} x^{2} + 6 \, d^{7} e^{6} x + d^{8} e^{5}\right)}}"," ",0,"1/360*(12*b*d*e^5*n*x^5 - 13*b*d^6*n - 12*a*d^6 - 12*(2*b*d^2*e^4*n + 15*a*d^2*e^4)*x^4 - 16*(7*b*d^3*e^3*n + 15*a*d^3*e^3)*x^3 - 3*(43*b*d^4*e^2*n + 60*a*d^4*e^2)*x^2 - 6*(11*b*d^5*e*n + 12*a*d^5*e)*x - 12*(b*e^6*n*x^6 + 6*b*d*e^5*n*x^5 + 15*b*d^2*e^4*n*x^4 + 20*b*d^3*e^3*n*x^3 + 15*b*d^4*e^2*n*x^2 + 6*b*d^5*e*n*x + b*d^6*n)*log(e*x + d) - 12*(15*b*d^2*e^4*x^4 + 20*b*d^3*e^3*x^3 + 15*b*d^4*e^2*x^2 + 6*b*d^5*e*x + b*d^6)*log(c) + 12*(b*e^6*n*x^6 + 6*b*d*e^5*n*x^5)*log(x))/(d^2*e^11*x^6 + 6*d^3*e^10*x^5 + 15*d^4*e^9*x^4 + 20*d^5*e^8*x^3 + 15*d^6*e^7*x^2 + 6*d^7*e^6*x + d^8*e^5)","B",0
67,1,343,0,1.115936," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""fricas"")","\frac{6 \, b d e^{5} n x^{5} + 33 \, b d^{2} e^{4} n x^{4} - 2 \, b d^{6} n - 6 \, a d^{6} + 2 \, {\left(17 \, b d^{3} e^{3} n - 60 \, a d^{3} e^{3}\right)} x^{3} + 3 \, {\left(b d^{4} e^{2} n - 30 \, a d^{4} e^{2}\right)} x^{2} - 6 \, {\left(b d^{5} e n + 6 \, a d^{5} e\right)} x - 6 \, {\left(b e^{6} n x^{6} + 6 \, b d e^{5} n x^{5} + 15 \, b d^{2} e^{4} n x^{4} + 20 \, b d^{3} e^{3} n x^{3} + 15 \, b d^{4} e^{2} n x^{2} + 6 \, b d^{5} e n x + b d^{6} n\right)} \log\left(e x + d\right) - 6 \, {\left(20 \, b d^{3} e^{3} x^{3} + 15 \, b d^{4} e^{2} x^{2} + 6 \, b d^{5} e x + b d^{6}\right)} \log\left(c\right) + 6 \, {\left(b e^{6} n x^{6} + 6 \, b d e^{5} n x^{5} + 15 \, b d^{2} e^{4} n x^{4}\right)} \log\left(x\right)}{360 \, {\left(d^{3} e^{10} x^{6} + 6 \, d^{4} e^{9} x^{5} + 15 \, d^{5} e^{8} x^{4} + 20 \, d^{6} e^{7} x^{3} + 15 \, d^{7} e^{6} x^{2} + 6 \, d^{8} e^{5} x + d^{9} e^{4}\right)}}"," ",0,"1/360*(6*b*d*e^5*n*x^5 + 33*b*d^2*e^4*n*x^4 - 2*b*d^6*n - 6*a*d^6 + 2*(17*b*d^3*e^3*n - 60*a*d^3*e^3)*x^3 + 3*(b*d^4*e^2*n - 30*a*d^4*e^2)*x^2 - 6*(b*d^5*e*n + 6*a*d^5*e)*x - 6*(b*e^6*n*x^6 + 6*b*d*e^5*n*x^5 + 15*b*d^2*e^4*n*x^4 + 20*b*d^3*e^3*n*x^3 + 15*b*d^4*e^2*n*x^2 + 6*b*d^5*e*n*x + b*d^6*n)*log(e*x + d) - 6*(20*b*d^3*e^3*x^3 + 15*b*d^4*e^2*x^2 + 6*b*d^5*e*x + b*d^6)*log(c) + 6*(b*e^6*n*x^6 + 6*b*d*e^5*n*x^5 + 15*b*d^2*e^4*n*x^4)*log(x))/(d^3*e^10*x^6 + 6*d^4*e^9*x^5 + 15*d^5*e^8*x^4 + 20*d^6*e^7*x^3 + 15*d^7*e^6*x^2 + 6*d^8*e^5*x + d^9*e^4)","A",0
68,1,333,0,1.239476," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""fricas"")","\frac{6 \, b d e^{5} n x^{5} + 33 \, b d^{2} e^{4} n x^{4} + 74 \, b d^{3} e^{3} n x^{3} + 2 \, b d^{6} n - 6 \, a d^{6} + 9 \, {\left(7 \, b d^{4} e^{2} n - 10 \, a d^{4} e^{2}\right)} x^{2} + 18 \, {\left(b d^{5} e n - 2 \, a d^{5} e\right)} x - 6 \, {\left(b e^{6} n x^{6} + 6 \, b d e^{5} n x^{5} + 15 \, b d^{2} e^{4} n x^{4} + 20 \, b d^{3} e^{3} n x^{3} + 15 \, b d^{4} e^{2} n x^{2} + 6 \, b d^{5} e n x + b d^{6} n\right)} \log\left(e x + d\right) - 6 \, {\left(15 \, b d^{4} e^{2} x^{2} + 6 \, b d^{5} e x + b d^{6}\right)} \log\left(c\right) + 6 \, {\left(b e^{6} n x^{6} + 6 \, b d e^{5} n x^{5} + 15 \, b d^{2} e^{4} n x^{4} + 20 \, b d^{3} e^{3} n x^{3}\right)} \log\left(x\right)}{360 \, {\left(d^{4} e^{9} x^{6} + 6 \, d^{5} e^{8} x^{5} + 15 \, d^{6} e^{7} x^{4} + 20 \, d^{7} e^{6} x^{3} + 15 \, d^{8} e^{5} x^{2} + 6 \, d^{9} e^{4} x + d^{10} e^{3}\right)}}"," ",0,"1/360*(6*b*d*e^5*n*x^5 + 33*b*d^2*e^4*n*x^4 + 74*b*d^3*e^3*n*x^3 + 2*b*d^6*n - 6*a*d^6 + 9*(7*b*d^4*e^2*n - 10*a*d^4*e^2)*x^2 + 18*(b*d^5*e*n - 2*a*d^5*e)*x - 6*(b*e^6*n*x^6 + 6*b*d*e^5*n*x^5 + 15*b*d^2*e^4*n*x^4 + 20*b*d^3*e^3*n*x^3 + 15*b*d^4*e^2*n*x^2 + 6*b*d^5*e*n*x + b*d^6*n)*log(e*x + d) - 6*(15*b*d^4*e^2*x^2 + 6*b*d^5*e*x + b*d^6)*log(c) + 6*(b*e^6*n*x^6 + 6*b*d*e^5*n*x^5 + 15*b*d^2*e^4*n*x^4 + 20*b*d^3*e^3*n*x^3)*log(x))/(d^4*e^9*x^6 + 6*d^5*e^8*x^5 + 15*d^6*e^7*x^4 + 20*d^7*e^6*x^3 + 15*d^8*e^5*x^2 + 6*d^9*e^4*x + d^10*e^3)","A",0
69,1,323,0,0.773293," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""fricas"")","\frac{12 \, b d e^{5} n x^{5} + 66 \, b d^{2} e^{4} n x^{4} + 148 \, b d^{3} e^{3} n x^{3} + 171 \, b d^{4} e^{2} n x^{2} + 13 \, b d^{6} n - 12 \, a d^{6} + 18 \, {\left(5 \, b d^{5} e n - 4 \, a d^{5} e\right)} x - 12 \, {\left(b e^{6} n x^{6} + 6 \, b d e^{5} n x^{5} + 15 \, b d^{2} e^{4} n x^{4} + 20 \, b d^{3} e^{3} n x^{3} + 15 \, b d^{4} e^{2} n x^{2} + 6 \, b d^{5} e n x + b d^{6} n\right)} \log\left(e x + d\right) - 12 \, {\left(6 \, b d^{5} e x + b d^{6}\right)} \log\left(c\right) + 12 \, {\left(b e^{6} n x^{6} + 6 \, b d e^{5} n x^{5} + 15 \, b d^{2} e^{4} n x^{4} + 20 \, b d^{3} e^{3} n x^{3} + 15 \, b d^{4} e^{2} n x^{2}\right)} \log\left(x\right)}{360 \, {\left(d^{5} e^{8} x^{6} + 6 \, d^{6} e^{7} x^{5} + 15 \, d^{7} e^{6} x^{4} + 20 \, d^{8} e^{5} x^{3} + 15 \, d^{9} e^{4} x^{2} + 6 \, d^{10} e^{3} x + d^{11} e^{2}\right)}}"," ",0,"1/360*(12*b*d*e^5*n*x^5 + 66*b*d^2*e^4*n*x^4 + 148*b*d^3*e^3*n*x^3 + 171*b*d^4*e^2*n*x^2 + 13*b*d^6*n - 12*a*d^6 + 18*(5*b*d^5*e*n - 4*a*d^5*e)*x - 12*(b*e^6*n*x^6 + 6*b*d*e^5*n*x^5 + 15*b*d^2*e^4*n*x^4 + 20*b*d^3*e^3*n*x^3 + 15*b*d^4*e^2*n*x^2 + 6*b*d^5*e*n*x + b*d^6*n)*log(e*x + d) - 12*(6*b*d^5*e*x + b*d^6)*log(c) + 12*(b*e^6*n*x^6 + 6*b*d*e^5*n*x^5 + 15*b*d^2*e^4*n*x^4 + 20*b*d^3*e^3*n*x^3 + 15*b*d^4*e^2*n*x^2)*log(x))/(d^5*e^8*x^6 + 6*d^6*e^7*x^5 + 15*d^7*e^6*x^4 + 20*d^8*e^5*x^3 + 15*d^9*e^4*x^2 + 6*d^10*e^3*x + d^11*e^2)","B",0
70,1,310,0,0.859024," ","integrate((a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""fricas"")","\frac{60 \, b d e^{5} n x^{5} + 330 \, b d^{2} e^{4} n x^{4} + 740 \, b d^{3} e^{3} n x^{3} + 855 \, b d^{4} e^{2} n x^{2} + 522 \, b d^{5} e n x + 137 \, b d^{6} n - 60 \, b d^{6} \log\left(c\right) - 60 \, a d^{6} - 60 \, {\left(b e^{6} n x^{6} + 6 \, b d e^{5} n x^{5} + 15 \, b d^{2} e^{4} n x^{4} + 20 \, b d^{3} e^{3} n x^{3} + 15 \, b d^{4} e^{2} n x^{2} + 6 \, b d^{5} e n x + b d^{6} n\right)} \log\left(e x + d\right) + 60 \, {\left(b e^{6} n x^{6} + 6 \, b d e^{5} n x^{5} + 15 \, b d^{2} e^{4} n x^{4} + 20 \, b d^{3} e^{3} n x^{3} + 15 \, b d^{4} e^{2} n x^{2} + 6 \, b d^{5} e n x\right)} \log\left(x\right)}{360 \, {\left(d^{6} e^{7} x^{6} + 6 \, d^{7} e^{6} x^{5} + 15 \, d^{8} e^{5} x^{4} + 20 \, d^{9} e^{4} x^{3} + 15 \, d^{10} e^{3} x^{2} + 6 \, d^{11} e^{2} x + d^{12} e\right)}}"," ",0,"1/360*(60*b*d*e^5*n*x^5 + 330*b*d^2*e^4*n*x^4 + 740*b*d^3*e^3*n*x^3 + 855*b*d^4*e^2*n*x^2 + 522*b*d^5*e*n*x + 137*b*d^6*n - 60*b*d^6*log(c) - 60*a*d^6 - 60*(b*e^6*n*x^6 + 6*b*d*e^5*n*x^5 + 15*b*d^2*e^4*n*x^4 + 20*b*d^3*e^3*n*x^3 + 15*b*d^4*e^2*n*x^2 + 6*b*d^5*e*n*x + b*d^6*n)*log(e*x + d) + 60*(b*e^6*n*x^6 + 6*b*d*e^5*n*x^5 + 15*b*d^2*e^4*n*x^4 + 20*b*d^3*e^3*n*x^3 + 15*b*d^4*e^2*n*x^2 + 6*b*d^5*e*n*x)*log(x))/(d^6*e^7*x^6 + 6*d^7*e^6*x^5 + 15*d^8*e^5*x^4 + 20*d^9*e^4*x^3 + 15*d^10*e^3*x^2 + 6*d^11*e^2*x + d^12*e)","B",0
71,0,0,0,0.956653," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^7,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{7} x^{8} + 7 \, d e^{6} x^{7} + 21 \, d^{2} e^{5} x^{6} + 35 \, d^{3} e^{4} x^{5} + 35 \, d^{4} e^{3} x^{4} + 21 \, d^{5} e^{2} x^{3} + 7 \, d^{6} e x^{2} + d^{7} x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^7*x^8 + 7*d*e^6*x^7 + 21*d^2*e^5*x^6 + 35*d^3*e^4*x^5 + 35*d^4*e^3*x^4 + 21*d^5*e^2*x^3 + 7*d^6*e*x^2 + d^7*x), x)","F",0
72,0,0,0,1.260298," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^7,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{7} x^{9} + 7 \, d e^{6} x^{8} + 21 \, d^{2} e^{5} x^{7} + 35 \, d^{3} e^{4} x^{6} + 35 \, d^{4} e^{3} x^{5} + 21 \, d^{5} e^{2} x^{4} + 7 \, d^{6} e x^{3} + d^{7} x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^7*x^9 + 7*d*e^6*x^8 + 21*d^2*e^5*x^7 + 35*d^3*e^4*x^6 + 35*d^4*e^3*x^5 + 21*d^5*e^2*x^4 + 7*d^6*e*x^3 + d^7*x^2), x)","F",0
73,0,0,0,1.434624," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^7,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{7} x^{10} + 7 \, d e^{6} x^{9} + 21 \, d^{2} e^{5} x^{8} + 35 \, d^{3} e^{4} x^{7} + 35 \, d^{4} e^{3} x^{6} + 21 \, d^{5} e^{2} x^{5} + 7 \, d^{6} e x^{4} + d^{7} x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^7*x^10 + 7*d*e^6*x^9 + 21*d^2*e^5*x^8 + 35*d^3*e^4*x^7 + 35*d^4*e^3*x^6 + 21*d^5*e^2*x^5 + 7*d^6*e*x^4 + d^7*x^3), x)","F",0
74,1,11,0,1.080541," ","integrate(log(c*x)/(-c*x+1),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-c x + 1\right)}{c}"," ",0,"dilog(-c*x + 1)/c","A",0
75,1,9,0,0.948793," ","integrate(log(x/c)/(c-x),x, algorithm=""fricas"")","{\rm Li}_2\left(-\frac{x}{c} + 1\right)"," ",0,"dilog(-x/c + 1)","A",0
76,1,219,0,0.636344," ","integrate(x^2*(e*x+d)*(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{1}{32} \, {\left(b^{2} e n^{2} - 4 \, a b e n + 8 \, a^{2} e\right)} x^{4} + \frac{1}{27} \, {\left(2 \, b^{2} d n^{2} - 6 \, a b d n + 9 \, a^{2} d\right)} x^{3} + \frac{1}{12} \, {\left(3 \, b^{2} e x^{4} + 4 \, b^{2} d x^{3}\right)} \log\left(c\right)^{2} + \frac{1}{12} \, {\left(3 \, b^{2} e n^{2} x^{4} + 4 \, b^{2} d n^{2} x^{3}\right)} \log\left(x\right)^{2} - \frac{1}{72} \, {\left(9 \, {\left(b^{2} e n - 4 \, a b e\right)} x^{4} + 16 \, {\left(b^{2} d n - 3 \, a b d\right)} x^{3}\right)} \log\left(c\right) - \frac{1}{72} \, {\left(9 \, {\left(b^{2} e n^{2} - 4 \, a b e n\right)} x^{4} + 16 \, {\left(b^{2} d n^{2} - 3 \, a b d n\right)} x^{3} - 12 \, {\left(3 \, b^{2} e n x^{4} + 4 \, b^{2} d n x^{3}\right)} \log\left(c\right)\right)} \log\left(x\right)"," ",0,"1/32*(b^2*e*n^2 - 4*a*b*e*n + 8*a^2*e)*x^4 + 1/27*(2*b^2*d*n^2 - 6*a*b*d*n + 9*a^2*d)*x^3 + 1/12*(3*b^2*e*x^4 + 4*b^2*d*x^3)*log(c)^2 + 1/12*(3*b^2*e*n^2*x^4 + 4*b^2*d*n^2*x^3)*log(x)^2 - 1/72*(9*(b^2*e*n - 4*a*b*e)*x^4 + 16*(b^2*d*n - 3*a*b*d)*x^3)*log(c) - 1/72*(9*(b^2*e*n^2 - 4*a*b*e*n)*x^4 + 16*(b^2*d*n^2 - 3*a*b*d*n)*x^3 - 12*(3*b^2*e*n*x^4 + 4*b^2*d*n*x^3)*log(c))*log(x)","B",0
77,1,219,0,0.961902," ","integrate(x*(e*x+d)*(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{1}{27} \, {\left(2 \, b^{2} e n^{2} - 6 \, a b e n + 9 \, a^{2} e\right)} x^{3} + \frac{1}{4} \, {\left(b^{2} d n^{2} - 2 \, a b d n + 2 \, a^{2} d\right)} x^{2} + \frac{1}{6} \, {\left(2 \, b^{2} e x^{3} + 3 \, b^{2} d x^{2}\right)} \log\left(c\right)^{2} + \frac{1}{6} \, {\left(2 \, b^{2} e n^{2} x^{3} + 3 \, b^{2} d n^{2} x^{2}\right)} \log\left(x\right)^{2} - \frac{1}{18} \, {\left(4 \, {\left(b^{2} e n - 3 \, a b e\right)} x^{3} + 9 \, {\left(b^{2} d n - 2 \, a b d\right)} x^{2}\right)} \log\left(c\right) - \frac{1}{18} \, {\left(4 \, {\left(b^{2} e n^{2} - 3 \, a b e n\right)} x^{3} + 9 \, {\left(b^{2} d n^{2} - 2 \, a b d n\right)} x^{2} - 6 \, {\left(2 \, b^{2} e n x^{3} + 3 \, b^{2} d n x^{2}\right)} \log\left(c\right)\right)} \log\left(x\right)"," ",0,"1/27*(2*b^2*e*n^2 - 6*a*b*e*n + 9*a^2*e)*x^3 + 1/4*(b^2*d*n^2 - 2*a*b*d*n + 2*a^2*d)*x^2 + 1/6*(2*b^2*e*x^3 + 3*b^2*d*x^2)*log(c)^2 + 1/6*(2*b^2*e*n^2*x^3 + 3*b^2*d*n^2*x^2)*log(x)^2 - 1/18*(4*(b^2*e*n - 3*a*b*e)*x^3 + 9*(b^2*d*n - 2*a*b*d)*x^2)*log(c) - 1/18*(4*(b^2*e*n^2 - 3*a*b*e*n)*x^3 + 9*(b^2*d*n^2 - 2*a*b*d*n)*x^2 - 6*(2*b^2*e*n*x^3 + 3*b^2*d*n*x^2)*log(c))*log(x)","B",0
78,1,200,0,0.792765," ","integrate((e*x+d)*(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{1}{4} \, {\left(b^{2} e n^{2} - 2 \, a b e n + 2 \, a^{2} e\right)} x^{2} + \frac{1}{2} \, {\left(b^{2} e x^{2} + 2 \, b^{2} d x\right)} \log\left(c\right)^{2} + \frac{1}{2} \, {\left(b^{2} e n^{2} x^{2} + 2 \, b^{2} d n^{2} x\right)} \log\left(x\right)^{2} + {\left(2 \, b^{2} d n^{2} - 2 \, a b d n + a^{2} d\right)} x - \frac{1}{2} \, {\left({\left(b^{2} e n - 2 \, a b e\right)} x^{2} + 4 \, {\left(b^{2} d n - a b d\right)} x\right)} \log\left(c\right) - \frac{1}{2} \, {\left({\left(b^{2} e n^{2} - 2 \, a b e n\right)} x^{2} + 4 \, {\left(b^{2} d n^{2} - a b d n\right)} x - 2 \, {\left(b^{2} e n x^{2} + 2 \, b^{2} d n x\right)} \log\left(c\right)\right)} \log\left(x\right)"," ",0,"1/4*(b^2*e*n^2 - 2*a*b*e*n + 2*a^2*e)*x^2 + 1/2*(b^2*e*x^2 + 2*b^2*d*x)*log(c)^2 + 1/2*(b^2*e*n^2*x^2 + 2*b^2*d*n^2*x)*log(x)^2 + (2*b^2*d*n^2 - 2*a*b*d*n + a^2*d)*x - 1/2*((b^2*e*n - 2*a*b*e)*x^2 + 4*(b^2*d*n - a*b*d)*x)*log(c) - 1/2*((b^2*e*n^2 - 2*a*b*e*n)*x^2 + 4*(b^2*d*n^2 - a*b*d*n)*x - 2*(b^2*e*n*x^2 + 2*b^2*d*n*x)*log(c))*log(x)","B",0
79,1,144,0,1.011544," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x,x, algorithm=""fricas"")","\frac{1}{3} \, b^{2} d n^{2} \log\left(x\right)^{3} + 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(b^{2} e n^{2} x + b^{2} d n \log\left(c\right) + a b d n\right)} \log\left(x\right)^{2} + {\left(2 \, b^{2} e n^{2} - 2 \, a b e n + a^{2} e\right)} x + {\left(b^{2} d \log\left(c\right)^{2} + a^{2} d - 2 \, {\left(b^{2} e n^{2} - a b e n\right)} x + 2 \, {\left(b^{2} e n x + a b d\right)} \log\left(c\right)\right)} \log\left(x\right)"," ",0,"1/3*b^2*d*n^2*log(x)^3 + b^2*e*x*log(c)^2 - 2*(b^2*e*n - a*b*e)*x*log(c) + (b^2*e*n^2*x + b^2*d*n*log(c) + a*b*d*n)*log(x)^2 + (2*b^2*e*n^2 - 2*a*b*e*n + a^2*e)*x + (b^2*d*log(c)^2 + a^2*d - 2*(b^2*e*n^2 - a*b*e*n)*x + 2*(b^2*e*n*x + a*b*d)*log(c))*log(x)","B",0
80,1,149,0,1.020215," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x^2,x, algorithm=""fricas"")","\frac{b^{2} e n^{2} x \log\left(x\right)^{3} - 6 \, b^{2} d n^{2} - 3 \, b^{2} d \log\left(c\right)^{2} - 6 \, a b d n - 3 \, a^{2} d + 3 \, {\left(b^{2} e n x \log\left(c\right) - b^{2} d n^{2} + a b e n x\right)} \log\left(x\right)^{2} - 6 \, {\left(b^{2} d n + a b d\right)} \log\left(c\right) + 3 \, {\left(b^{2} e x \log\left(c\right)^{2} - 2 \, b^{2} d n^{2} - 2 \, a b d n + a^{2} e x - 2 \, {\left(b^{2} d n - a b e x\right)} \log\left(c\right)\right)} \log\left(x\right)}{3 \, x}"," ",0,"1/3*(b^2*e*n^2*x*log(x)^3 - 6*b^2*d*n^2 - 3*b^2*d*log(c)^2 - 6*a*b*d*n - 3*a^2*d + 3*(b^2*e*n*x*log(c) - b^2*d*n^2 + a*b*e*n*x)*log(x)^2 - 6*(b^2*d*n + a*b*d)*log(c) + 3*(b^2*e*x*log(c)^2 - 2*b^2*d*n^2 - 2*a*b*d*n + a^2*e*x - 2*(b^2*d*n - a*b*e*x)*log(c))*log(x))/x","B",0
81,1,179,0,1.136942," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x^3,x, algorithm=""fricas"")","-\frac{b^{2} d n^{2} + 2 \, a b d n + 2 \, a^{2} d + 2 \, {\left(2 \, b^{2} e x + b^{2} d\right)} \log\left(c\right)^{2} + 2 \, {\left(2 \, b^{2} e n^{2} x + b^{2} d n^{2}\right)} \log\left(x\right)^{2} + 4 \, {\left(2 \, b^{2} e n^{2} + 2 \, a b e n + a^{2} e\right)} x + 2 \, {\left(b^{2} d n + 2 \, a b d + 4 \, {\left(b^{2} e n + a b e\right)} x\right)} \log\left(c\right) + 2 \, {\left(b^{2} d n^{2} + 2 \, a b d n + 4 \, {\left(b^{2} e n^{2} + a b e n\right)} x + 2 \, {\left(2 \, b^{2} e n x + b^{2} d n\right)} \log\left(c\right)\right)} \log\left(x\right)}{4 \, x^{2}}"," ",0,"-1/4*(b^2*d*n^2 + 2*a*b*d*n + 2*a^2*d + 2*(2*b^2*e*x + b^2*d)*log(c)^2 + 2*(2*b^2*e*n^2*x + b^2*d*n^2)*log(x)^2 + 4*(2*b^2*e*n^2 + 2*a*b*e*n + a^2*e)*x + 2*(b^2*d*n + 2*a*b*d + 4*(b^2*e*n + a*b*e)*x)*log(c) + 2*(b^2*d*n^2 + 2*a*b*d*n + 4*(b^2*e*n^2 + a*b*e*n)*x + 2*(2*b^2*e*n*x + b^2*d*n)*log(c))*log(x))/x^2","A",0
82,1,187,0,0.826160," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x^4,x, algorithm=""fricas"")","-\frac{8 \, b^{2} d n^{2} + 24 \, a b d n + 36 \, a^{2} d + 18 \, {\left(3 \, b^{2} e x + 2 \, b^{2} d\right)} \log\left(c\right)^{2} + 18 \, {\left(3 \, b^{2} e n^{2} x + 2 \, b^{2} d n^{2}\right)} \log\left(x\right)^{2} + 27 \, {\left(b^{2} e n^{2} + 2 \, a b e n + 2 \, a^{2} e\right)} x + 6 \, {\left(4 \, b^{2} d n + 12 \, a b d + 9 \, {\left(b^{2} e n + 2 \, a b e\right)} x\right)} \log\left(c\right) + 6 \, {\left(4 \, b^{2} d n^{2} + 12 \, a b d n + 9 \, {\left(b^{2} e n^{2} + 2 \, a b e n\right)} x + 6 \, {\left(3 \, b^{2} e n x + 2 \, b^{2} d n\right)} \log\left(c\right)\right)} \log\left(x\right)}{108 \, x^{3}}"," ",0,"-1/108*(8*b^2*d*n^2 + 24*a*b*d*n + 36*a^2*d + 18*(3*b^2*e*x + 2*b^2*d)*log(c)^2 + 18*(3*b^2*e*n^2*x + 2*b^2*d*n^2)*log(x)^2 + 27*(b^2*e*n^2 + 2*a*b*e*n + 2*a^2*e)*x + 6*(4*b^2*d*n + 12*a*b*d + 9*(b^2*e*n + 2*a*b*e)*x)*log(c) + 6*(4*b^2*d*n^2 + 12*a*b*d*n + 9*(b^2*e*n^2 + 2*a*b*e*n)*x + 6*(3*b^2*e*n*x + 2*b^2*d*n)*log(c))*log(x))/x^3","A",0
83,1,188,0,0.592823," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x^5,x, algorithm=""fricas"")","-\frac{27 \, b^{2} d n^{2} + 108 \, a b d n + 216 \, a^{2} d + 72 \, {\left(4 \, b^{2} e x + 3 \, b^{2} d\right)} \log\left(c\right)^{2} + 72 \, {\left(4 \, b^{2} e n^{2} x + 3 \, b^{2} d n^{2}\right)} \log\left(x\right)^{2} + 32 \, {\left(2 \, b^{2} e n^{2} + 6 \, a b e n + 9 \, a^{2} e\right)} x + 12 \, {\left(9 \, b^{2} d n + 36 \, a b d + 16 \, {\left(b^{2} e n + 3 \, a b e\right)} x\right)} \log\left(c\right) + 12 \, {\left(9 \, b^{2} d n^{2} + 36 \, a b d n + 16 \, {\left(b^{2} e n^{2} + 3 \, a b e n\right)} x + 12 \, {\left(4 \, b^{2} e n x + 3 \, b^{2} d n\right)} \log\left(c\right)\right)} \log\left(x\right)}{864 \, x^{4}}"," ",0,"-1/864*(27*b^2*d*n^2 + 108*a*b*d*n + 216*a^2*d + 72*(4*b^2*e*x + 3*b^2*d)*log(c)^2 + 72*(4*b^2*e*n^2*x + 3*b^2*d*n^2)*log(x)^2 + 32*(2*b^2*e*n^2 + 6*a*b*e*n + 9*a^2*e)*x + 12*(9*b^2*d*n + 36*a*b*d + 16*(b^2*e*n + 3*a*b*e)*x)*log(c) + 12*(9*b^2*d*n^2 + 36*a*b*d*n + 16*(b^2*e*n^2 + 3*a*b*e*n)*x + 12*(4*b^2*e*n*x + 3*b^2*d*n)*log(c))*log(x))/x^4","A",0
84,1,364,0,0.680898," ","integrate(x^2*(e*x+d)^2*(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{1}{125} \, {\left(2 \, b^{2} e^{2} n^{2} - 10 \, a b e^{2} n + 25 \, a^{2} e^{2}\right)} x^{5} + \frac{1}{16} \, {\left(b^{2} d e n^{2} - 4 \, a b d e n + 8 \, a^{2} d e\right)} x^{4} + \frac{1}{27} \, {\left(2 \, b^{2} d^{2} n^{2} - 6 \, a b d^{2} n + 9 \, a^{2} d^{2}\right)} x^{3} + \frac{1}{30} \, {\left(6 \, b^{2} e^{2} x^{5} + 15 \, b^{2} d e x^{4} + 10 \, b^{2} d^{2} x^{3}\right)} \log\left(c\right)^{2} + \frac{1}{30} \, {\left(6 \, b^{2} e^{2} n^{2} x^{5} + 15 \, b^{2} d e n^{2} x^{4} + 10 \, b^{2} d^{2} n^{2} x^{3}\right)} \log\left(x\right)^{2} - \frac{1}{900} \, {\left(72 \, {\left(b^{2} e^{2} n - 5 \, a b e^{2}\right)} x^{5} + 225 \, {\left(b^{2} d e n - 4 \, a b d e\right)} x^{4} + 200 \, {\left(b^{2} d^{2} n - 3 \, a b d^{2}\right)} x^{3}\right)} \log\left(c\right) - \frac{1}{900} \, {\left(72 \, {\left(b^{2} e^{2} n^{2} - 5 \, a b e^{2} n\right)} x^{5} + 225 \, {\left(b^{2} d e n^{2} - 4 \, a b d e n\right)} x^{4} + 200 \, {\left(b^{2} d^{2} n^{2} - 3 \, a b d^{2} n\right)} x^{3} - 60 \, {\left(6 \, b^{2} e^{2} n x^{5} + 15 \, b^{2} d e n x^{4} + 10 \, b^{2} d^{2} n x^{3}\right)} \log\left(c\right)\right)} \log\left(x\right)"," ",0,"1/125*(2*b^2*e^2*n^2 - 10*a*b*e^2*n + 25*a^2*e^2)*x^5 + 1/16*(b^2*d*e*n^2 - 4*a*b*d*e*n + 8*a^2*d*e)*x^4 + 1/27*(2*b^2*d^2*n^2 - 6*a*b*d^2*n + 9*a^2*d^2)*x^3 + 1/30*(6*b^2*e^2*x^5 + 15*b^2*d*e*x^4 + 10*b^2*d^2*x^3)*log(c)^2 + 1/30*(6*b^2*e^2*n^2*x^5 + 15*b^2*d*e*n^2*x^4 + 10*b^2*d^2*n^2*x^3)*log(x)^2 - 1/900*(72*(b^2*e^2*n - 5*a*b*e^2)*x^5 + 225*(b^2*d*e*n - 4*a*b*d*e)*x^4 + 200*(b^2*d^2*n - 3*a*b*d^2)*x^3)*log(c) - 1/900*(72*(b^2*e^2*n^2 - 5*a*b*e^2*n)*x^5 + 225*(b^2*d*e*n^2 - 4*a*b*d*e*n)*x^4 + 200*(b^2*d^2*n^2 - 3*a*b*d^2*n)*x^3 - 60*(6*b^2*e^2*n*x^5 + 15*b^2*d*e*n*x^4 + 10*b^2*d^2*n*x^3)*log(c))*log(x)","B",0
85,1,363,0,0.749718," ","integrate(x*(e*x+d)^2*(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{1}{32} \, {\left(b^{2} e^{2} n^{2} - 4 \, a b e^{2} n + 8 \, a^{2} e^{2}\right)} x^{4} + \frac{2}{27} \, {\left(2 \, b^{2} d e n^{2} - 6 \, a b d e n + 9 \, a^{2} d e\right)} x^{3} + \frac{1}{4} \, {\left(b^{2} d^{2} n^{2} - 2 \, a b d^{2} n + 2 \, a^{2} d^{2}\right)} x^{2} + \frac{1}{12} \, {\left(3 \, b^{2} e^{2} x^{4} + 8 \, b^{2} d e x^{3} + 6 \, b^{2} d^{2} x^{2}\right)} \log\left(c\right)^{2} + \frac{1}{12} \, {\left(3 \, b^{2} e^{2} n^{2} x^{4} + 8 \, b^{2} d e n^{2} x^{3} + 6 \, b^{2} d^{2} n^{2} x^{2}\right)} \log\left(x\right)^{2} - \frac{1}{72} \, {\left(9 \, {\left(b^{2} e^{2} n - 4 \, a b e^{2}\right)} x^{4} + 32 \, {\left(b^{2} d e n - 3 \, a b d e\right)} x^{3} + 36 \, {\left(b^{2} d^{2} n - 2 \, a b d^{2}\right)} x^{2}\right)} \log\left(c\right) - \frac{1}{72} \, {\left(9 \, {\left(b^{2} e^{2} n^{2} - 4 \, a b e^{2} n\right)} x^{4} + 32 \, {\left(b^{2} d e n^{2} - 3 \, a b d e n\right)} x^{3} + 36 \, {\left(b^{2} d^{2} n^{2} - 2 \, a b d^{2} n\right)} x^{2} - 12 \, {\left(3 \, b^{2} e^{2} n x^{4} + 8 \, b^{2} d e n x^{3} + 6 \, b^{2} d^{2} n x^{2}\right)} \log\left(c\right)\right)} \log\left(x\right)"," ",0,"1/32*(b^2*e^2*n^2 - 4*a*b*e^2*n + 8*a^2*e^2)*x^4 + 2/27*(2*b^2*d*e*n^2 - 6*a*b*d*e*n + 9*a^2*d*e)*x^3 + 1/4*(b^2*d^2*n^2 - 2*a*b*d^2*n + 2*a^2*d^2)*x^2 + 1/12*(3*b^2*e^2*x^4 + 8*b^2*d*e*x^3 + 6*b^2*d^2*x^2)*log(c)^2 + 1/12*(3*b^2*e^2*n^2*x^4 + 8*b^2*d*e*n^2*x^3 + 6*b^2*d^2*n^2*x^2)*log(x)^2 - 1/72*(9*(b^2*e^2*n - 4*a*b*e^2)*x^4 + 32*(b^2*d*e*n - 3*a*b*d*e)*x^3 + 36*(b^2*d^2*n - 2*a*b*d^2)*x^2)*log(c) - 1/72*(9*(b^2*e^2*n^2 - 4*a*b*e^2*n)*x^4 + 32*(b^2*d*e*n^2 - 3*a*b*d*e*n)*x^3 + 36*(b^2*d^2*n^2 - 2*a*b*d^2*n)*x^2 - 12*(3*b^2*e^2*n*x^4 + 8*b^2*d*e*n*x^3 + 6*b^2*d^2*n*x^2)*log(c))*log(x)","B",0
86,1,347,0,0.554103," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{1}{27} \, {\left(2 \, b^{2} e^{2} n^{2} - 6 \, a b e^{2} n + 9 \, a^{2} e^{2}\right)} x^{3} + \frac{1}{2} \, {\left(b^{2} d e n^{2} - 2 \, a b d e n + 2 \, a^{2} d e\right)} x^{2} + \frac{1}{3} \, {\left(b^{2} e^{2} x^{3} + 3 \, b^{2} d e x^{2} + 3 \, b^{2} d^{2} x\right)} \log\left(c\right)^{2} + \frac{1}{3} \, {\left(b^{2} e^{2} n^{2} x^{3} + 3 \, b^{2} d e n^{2} x^{2} + 3 \, b^{2} d^{2} n^{2} x\right)} \log\left(x\right)^{2} + {\left(2 \, b^{2} d^{2} n^{2} - 2 \, a b d^{2} n + a^{2} d^{2}\right)} x - \frac{1}{9} \, {\left(2 \, {\left(b^{2} e^{2} n - 3 \, a b e^{2}\right)} x^{3} + 9 \, {\left(b^{2} d e n - 2 \, a b d e\right)} x^{2} + 18 \, {\left(b^{2} d^{2} n - a b d^{2}\right)} x\right)} \log\left(c\right) - \frac{1}{9} \, {\left(2 \, {\left(b^{2} e^{2} n^{2} - 3 \, a b e^{2} n\right)} x^{3} + 9 \, {\left(b^{2} d e n^{2} - 2 \, a b d e n\right)} x^{2} + 18 \, {\left(b^{2} d^{2} n^{2} - a b d^{2} n\right)} x - 6 \, {\left(b^{2} e^{2} n x^{3} + 3 \, b^{2} d e n x^{2} + 3 \, b^{2} d^{2} n x\right)} \log\left(c\right)\right)} \log\left(x\right)"," ",0,"1/27*(2*b^2*e^2*n^2 - 6*a*b*e^2*n + 9*a^2*e^2)*x^3 + 1/2*(b^2*d*e*n^2 - 2*a*b*d*e*n + 2*a^2*d*e)*x^2 + 1/3*(b^2*e^2*x^3 + 3*b^2*d*e*x^2 + 3*b^2*d^2*x)*log(c)^2 + 1/3*(b^2*e^2*n^2*x^3 + 3*b^2*d*e*n^2*x^2 + 3*b^2*d^2*n^2*x)*log(x)^2 + (2*b^2*d^2*n^2 - 2*a*b*d^2*n + a^2*d^2)*x - 1/9*(2*(b^2*e^2*n - 3*a*b*e^2)*x^3 + 9*(b^2*d*e*n - 2*a*b*d*e)*x^2 + 18*(b^2*d^2*n - a*b*d^2)*x)*log(c) - 1/9*(2*(b^2*e^2*n^2 - 3*a*b*e^2*n)*x^3 + 9*(b^2*d*e*n^2 - 2*a*b*d*e*n)*x^2 + 18*(b^2*d^2*n^2 - a*b*d^2*n)*x - 6*(b^2*e^2*n*x^3 + 3*b^2*d*e*n*x^2 + 3*b^2*d^2*n*x)*log(c))*log(x)","B",0
87,1,293,0,0.632568," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x,x, algorithm=""fricas"")","\frac{1}{3} \, b^{2} d^{2} n^{2} \log\left(x\right)^{3} + \frac{1}{4} \, {\left(b^{2} e^{2} n^{2} - 2 \, a b e^{2} n + 2 \, a^{2} e^{2}\right)} x^{2} + \frac{1}{2} \, {\left(b^{2} e^{2} x^{2} + 4 \, b^{2} d e x\right)} \log\left(c\right)^{2} + \frac{1}{2} \, {\left(b^{2} e^{2} n^{2} x^{2} + 4 \, b^{2} d e n^{2} x + 2 \, b^{2} d^{2} n \log\left(c\right) + 2 \, a b d^{2} n\right)} \log\left(x\right)^{2} + 2 \, {\left(2 \, b^{2} d e n^{2} - 2 \, a b d e n + a^{2} d e\right)} x - \frac{1}{2} \, {\left({\left(b^{2} e^{2} n - 2 \, a b e^{2}\right)} x^{2} + 8 \, {\left(b^{2} d e n - a b d e\right)} x\right)} \log\left(c\right) + \frac{1}{2} \, {\left(2 \, b^{2} d^{2} \log\left(c\right)^{2} + 2 \, a^{2} d^{2} - {\left(b^{2} e^{2} n^{2} - 2 \, a b e^{2} n\right)} x^{2} - 8 \, {\left(b^{2} d e n^{2} - a b d e n\right)} x + 2 \, {\left(b^{2} e^{2} n x^{2} + 4 \, b^{2} d e n x + 2 \, a b d^{2}\right)} \log\left(c\right)\right)} \log\left(x\right)"," ",0,"1/3*b^2*d^2*n^2*log(x)^3 + 1/4*(b^2*e^2*n^2 - 2*a*b*e^2*n + 2*a^2*e^2)*x^2 + 1/2*(b^2*e^2*x^2 + 4*b^2*d*e*x)*log(c)^2 + 1/2*(b^2*e^2*n^2*x^2 + 4*b^2*d*e*n^2*x + 2*b^2*d^2*n*log(c) + 2*a*b*d^2*n)*log(x)^2 + 2*(2*b^2*d*e*n^2 - 2*a*b*d*e*n + a^2*d*e)*x - 1/2*((b^2*e^2*n - 2*a*b*e^2)*x^2 + 8*(b^2*d*e*n - a*b*d*e)*x)*log(c) + 1/2*(2*b^2*d^2*log(c)^2 + 2*a^2*d^2 - (b^2*e^2*n^2 - 2*a*b*e^2*n)*x^2 - 8*(b^2*d*e*n^2 - a*b*d*e*n)*x + 2*(b^2*e^2*n*x^2 + 4*b^2*d*e*n*x + 2*a*b*d^2)*log(c))*log(x)","B",0
88,1,291,0,0.592391," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x^2,x, algorithm=""fricas"")","\frac{2 \, b^{2} d e n^{2} x \log\left(x\right)^{3} - 6 \, b^{2} d^{2} n^{2} - 6 \, a b d^{2} n - 3 \, a^{2} d^{2} + 3 \, {\left(2 \, b^{2} e^{2} n^{2} - 2 \, a b e^{2} n + a^{2} e^{2}\right)} x^{2} + 3 \, {\left(b^{2} e^{2} x^{2} - b^{2} d^{2}\right)} \log\left(c\right)^{2} + 3 \, {\left(b^{2} e^{2} n^{2} x^{2} + 2 \, b^{2} d e n x \log\left(c\right) - b^{2} d^{2} n^{2} + 2 \, a b d e n x\right)} \log\left(x\right)^{2} - 6 \, {\left(b^{2} d^{2} n + a b d^{2} + {\left(b^{2} e^{2} n - a b e^{2}\right)} x^{2}\right)} \log\left(c\right) + 6 \, {\left(b^{2} d e x \log\left(c\right)^{2} - b^{2} d^{2} n^{2} - a b d^{2} n + a^{2} d e x - {\left(b^{2} e^{2} n^{2} - a b e^{2} n\right)} x^{2} + {\left(b^{2} e^{2} n x^{2} - b^{2} d^{2} n + 2 \, a b d e x\right)} \log\left(c\right)\right)} \log\left(x\right)}{3 \, x}"," ",0,"1/3*(2*b^2*d*e*n^2*x*log(x)^3 - 6*b^2*d^2*n^2 - 6*a*b*d^2*n - 3*a^2*d^2 + 3*(2*b^2*e^2*n^2 - 2*a*b*e^2*n + a^2*e^2)*x^2 + 3*(b^2*e^2*x^2 - b^2*d^2)*log(c)^2 + 3*(b^2*e^2*n^2*x^2 + 2*b^2*d*e*n*x*log(c) - b^2*d^2*n^2 + 2*a*b*d*e*n*x)*log(x)^2 - 6*(b^2*d^2*n + a*b*d^2 + (b^2*e^2*n - a*b*e^2)*x^2)*log(c) + 6*(b^2*d*e*x*log(c)^2 - b^2*d^2*n^2 - a*b*d^2*n + a^2*d*e*x - (b^2*e^2*n^2 - a*b*e^2*n)*x^2 + (b^2*e^2*n*x^2 - b^2*d^2*n + 2*a*b*d*e*x)*log(c))*log(x))/x","B",0
89,1,291,0,0.707036," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x^3,x, algorithm=""fricas"")","\frac{4 \, b^{2} e^{2} n^{2} x^{2} \log\left(x\right)^{3} - 3 \, b^{2} d^{2} n^{2} - 6 \, a b d^{2} n - 6 \, a^{2} d^{2} - 6 \, {\left(4 \, b^{2} d e x + b^{2} d^{2}\right)} \log\left(c\right)^{2} + 6 \, {\left(2 \, b^{2} e^{2} n x^{2} \log\left(c\right) - 4 \, b^{2} d e n^{2} x + 2 \, a b e^{2} n x^{2} - b^{2} d^{2} n^{2}\right)} \log\left(x\right)^{2} - 24 \, {\left(2 \, b^{2} d e n^{2} + 2 \, a b d e n + a^{2} d e\right)} x - 6 \, {\left(b^{2} d^{2} n + 2 \, a b d^{2} + 8 \, {\left(b^{2} d e n + a b d e\right)} x\right)} \log\left(c\right) + 6 \, {\left(2 \, b^{2} e^{2} x^{2} \log\left(c\right)^{2} - b^{2} d^{2} n^{2} + 2 \, a^{2} e^{2} x^{2} - 2 \, a b d^{2} n - 8 \, {\left(b^{2} d e n^{2} + a b d e n\right)} x - 2 \, {\left(4 \, b^{2} d e n x - 2 \, a b e^{2} x^{2} + b^{2} d^{2} n\right)} \log\left(c\right)\right)} \log\left(x\right)}{12 \, x^{2}}"," ",0,"1/12*(4*b^2*e^2*n^2*x^2*log(x)^3 - 3*b^2*d^2*n^2 - 6*a*b*d^2*n - 6*a^2*d^2 - 6*(4*b^2*d*e*x + b^2*d^2)*log(c)^2 + 6*(2*b^2*e^2*n*x^2*log(c) - 4*b^2*d*e*n^2*x + 2*a*b*e^2*n*x^2 - b^2*d^2*n^2)*log(x)^2 - 24*(2*b^2*d*e*n^2 + 2*a*b*d*e*n + a^2*d*e)*x - 6*(b^2*d^2*n + 2*a*b*d^2 + 8*(b^2*d*e*n + a*b*d*e)*x)*log(c) + 6*(2*b^2*e^2*x^2*log(c)^2 - b^2*d^2*n^2 + 2*a^2*e^2*x^2 - 2*a*b*d^2*n - 8*(b^2*d*e*n^2 + a*b*d*e*n)*x - 2*(4*b^2*d*e*n*x - 2*a*b*e^2*x^2 + b^2*d^2*n)*log(c))*log(x))/x^2","B",0
90,1,326,0,0.723344," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x^4,x, algorithm=""fricas"")","-\frac{4 \, b^{2} d^{2} n^{2} + 12 \, a b d^{2} n + 18 \, a^{2} d^{2} + 54 \, {\left(2 \, b^{2} e^{2} n^{2} + 2 \, a b e^{2} n + a^{2} e^{2}\right)} x^{2} + 18 \, {\left(3 \, b^{2} e^{2} x^{2} + 3 \, b^{2} d e x + b^{2} d^{2}\right)} \log\left(c\right)^{2} + 18 \, {\left(3 \, b^{2} e^{2} n^{2} x^{2} + 3 \, b^{2} d e n^{2} x + b^{2} d^{2} n^{2}\right)} \log\left(x\right)^{2} + 27 \, {\left(b^{2} d e n^{2} + 2 \, a b d e n + 2 \, a^{2} d e\right)} x + 6 \, {\left(2 \, b^{2} d^{2} n + 6 \, a b d^{2} + 18 \, {\left(b^{2} e^{2} n + a b e^{2}\right)} x^{2} + 9 \, {\left(b^{2} d e n + 2 \, a b d e\right)} x\right)} \log\left(c\right) + 6 \, {\left(2 \, b^{2} d^{2} n^{2} + 6 \, a b d^{2} n + 18 \, {\left(b^{2} e^{2} n^{2} + a b e^{2} n\right)} x^{2} + 9 \, {\left(b^{2} d e n^{2} + 2 \, a b d e n\right)} x + 6 \, {\left(3 \, b^{2} e^{2} n x^{2} + 3 \, b^{2} d e n x + b^{2} d^{2} n\right)} \log\left(c\right)\right)} \log\left(x\right)}{54 \, x^{3}}"," ",0,"-1/54*(4*b^2*d^2*n^2 + 12*a*b*d^2*n + 18*a^2*d^2 + 54*(2*b^2*e^2*n^2 + 2*a*b*e^2*n + a^2*e^2)*x^2 + 18*(3*b^2*e^2*x^2 + 3*b^2*d*e*x + b^2*d^2)*log(c)^2 + 18*(3*b^2*e^2*n^2*x^2 + 3*b^2*d*e*n^2*x + b^2*d^2*n^2)*log(x)^2 + 27*(b^2*d*e*n^2 + 2*a*b*d*e*n + 2*a^2*d*e)*x + 6*(2*b^2*d^2*n + 6*a*b*d^2 + 18*(b^2*e^2*n + a*b*e^2)*x^2 + 9*(b^2*d*e*n + 2*a*b*d*e)*x)*log(c) + 6*(2*b^2*d^2*n^2 + 6*a*b*d^2*n + 18*(b^2*e^2*n^2 + a*b*e^2*n)*x^2 + 9*(b^2*d*e*n^2 + 2*a*b*d*e*n)*x + 6*(3*b^2*e^2*n*x^2 + 3*b^2*d*e*n*x + b^2*d^2*n)*log(c))*log(x))/x^3","B",0
91,1,332,0,0.990077," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x^5,x, algorithm=""fricas"")","-\frac{27 \, b^{2} d^{2} n^{2} + 108 \, a b d^{2} n + 216 \, a^{2} d^{2} + 216 \, {\left(b^{2} e^{2} n^{2} + 2 \, a b e^{2} n + 2 \, a^{2} e^{2}\right)} x^{2} + 72 \, {\left(6 \, b^{2} e^{2} x^{2} + 8 \, b^{2} d e x + 3 \, b^{2} d^{2}\right)} \log\left(c\right)^{2} + 72 \, {\left(6 \, b^{2} e^{2} n^{2} x^{2} + 8 \, b^{2} d e n^{2} x + 3 \, b^{2} d^{2} n^{2}\right)} \log\left(x\right)^{2} + 64 \, {\left(2 \, b^{2} d e n^{2} + 6 \, a b d e n + 9 \, a^{2} d e\right)} x + 12 \, {\left(9 \, b^{2} d^{2} n + 36 \, a b d^{2} + 36 \, {\left(b^{2} e^{2} n + 2 \, a b e^{2}\right)} x^{2} + 32 \, {\left(b^{2} d e n + 3 \, a b d e\right)} x\right)} \log\left(c\right) + 12 \, {\left(9 \, b^{2} d^{2} n^{2} + 36 \, a b d^{2} n + 36 \, {\left(b^{2} e^{2} n^{2} + 2 \, a b e^{2} n\right)} x^{2} + 32 \, {\left(b^{2} d e n^{2} + 3 \, a b d e n\right)} x + 12 \, {\left(6 \, b^{2} e^{2} n x^{2} + 8 \, b^{2} d e n x + 3 \, b^{2} d^{2} n\right)} \log\left(c\right)\right)} \log\left(x\right)}{864 \, x^{4}}"," ",0,"-1/864*(27*b^2*d^2*n^2 + 108*a*b*d^2*n + 216*a^2*d^2 + 216*(b^2*e^2*n^2 + 2*a*b*e^2*n + 2*a^2*e^2)*x^2 + 72*(6*b^2*e^2*x^2 + 8*b^2*d*e*x + 3*b^2*d^2)*log(c)^2 + 72*(6*b^2*e^2*n^2*x^2 + 8*b^2*d*e*n^2*x + 3*b^2*d^2*n^2)*log(x)^2 + 64*(2*b^2*d*e*n^2 + 6*a*b*d*e*n + 9*a^2*d*e)*x + 12*(9*b^2*d^2*n + 36*a*b*d^2 + 36*(b^2*e^2*n + 2*a*b*e^2)*x^2 + 32*(b^2*d*e*n + 3*a*b*d*e)*x)*log(c) + 12*(9*b^2*d^2*n^2 + 36*a*b*d^2*n + 36*(b^2*e^2*n^2 + 2*a*b*e^2*n)*x^2 + 32*(b^2*d*e*n^2 + 3*a*b*d*e*n)*x + 12*(6*b^2*e^2*n*x^2 + 8*b^2*d*e*n*x + 3*b^2*d^2*n)*log(c))*log(x))/x^4","B",0
92,0,0,0,0.693779," ","integrate(x^3*(a+b*log(c*x^n))^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{3} \log\left(c x^{n}\right)^{2} + 2 \, a b x^{3} \log\left(c x^{n}\right) + a^{2} x^{3}}{e x + d}, x\right)"," ",0,"integral((b^2*x^3*log(c*x^n)^2 + 2*a*b*x^3*log(c*x^n) + a^2*x^3)/(e*x + d), x)","F",0
93,0,0,0,0.885634," ","integrate(x^2*(a+b*log(c*x^n))^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{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}}{e x + d}, 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)/(e*x + d), x)","F",0
94,0,0,0,0.674333," ","integrate(x*(a+b*log(c*x^n))^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x \log\left(c x^{n}\right)^{2} + 2 \, a b x \log\left(c x^{n}\right) + a^{2} x}{e x + d}, x\right)"," ",0,"integral((b^2*x*log(c*x^n)^2 + 2*a*b*x*log(c*x^n) + a^2*x)/(e*x + d), x)","F",0
95,0,0,0,0.568495," ","integrate((a+b*log(c*x^n))^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e x + d}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e*x + d), x)","F",0
96,0,0,0,0.592582," ","integrate((a+b*log(c*x^n))^2/x/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e x^{2} + d x}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e*x^2 + d*x), x)","F",0
97,0,0,0,0.571111," ","integrate((a+b*log(c*x^n))^2/x^2/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e x^{3} + d x^{2}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e*x^3 + d*x^2), x)","F",0
98,0,0,0,0.582873," ","integrate((a+b*log(c*x^n))^2/x^3/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e x^{4} + d x^{3}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e*x^4 + d*x^3), x)","F",0
99,0,0,0,0.706277," ","integrate((a+b*log(c*x^n))^2/x^4/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e x^{5} + d x^{4}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e*x^5 + d*x^4), x)","F",0
100,0,0,0,0.807614," ","integrate(x^3*(a+b*log(c*x^n))^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{3} \log\left(c x^{n}\right)^{2} + 2 \, a b x^{3} \log\left(c x^{n}\right) + a^{2} x^{3}}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((b^2*x^3*log(c*x^n)^2 + 2*a*b*x^3*log(c*x^n) + a^2*x^3)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
101,0,0,0,0.753289," ","integrate(x^2*(a+b*log(c*x^n))^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{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}}{e^{2} x^{2} + 2 \, d e x + d^{2}}, 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)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
102,0,0,0,0.675799," ","integrate(x*(a+b*log(c*x^n))^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x \log\left(c x^{n}\right)^{2} + 2 \, a b x \log\left(c x^{n}\right) + a^{2} x}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((b^2*x*log(c*x^n)^2 + 2*a*b*x*log(c*x^n) + a^2*x)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
103,0,0,0,0.736407," ","integrate((a+b*log(c*x^n))^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
104,0,0,0,0.719929," ","integrate((a+b*log(c*x^n))^2/x/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e^{2} x^{3} + 2 \, d e x^{2} + d^{2} x}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e^2*x^3 + 2*d*e*x^2 + d^2*x), x)","F",0
105,0,0,0,0.679404," ","integrate((a+b*log(c*x^n))^2/x^2/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e^{2} x^{4} + 2 \, d e x^{3} + d^{2} x^{2}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e^2*x^4 + 2*d*e*x^3 + d^2*x^2), x)","F",0
106,0,0,0,0.847536," ","integrate((a+b*log(c*x^n))^2/x^3/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e^{2} x^{5} + 2 \, d e x^{4} + d^{2} x^{3}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e^2*x^5 + 2*d*e*x^4 + d^2*x^3), x)","F",0
107,0,0,0,0.682373," ","integrate(x^3*(a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{3} \log\left(c x^{n}\right)^{2} + 2 \, a b x^{3} \log\left(c x^{n}\right) + a^{2} x^{3}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((b^2*x^3*log(c*x^n)^2 + 2*a*b*x^3*log(c*x^n) + a^2*x^3)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
108,0,0,0,0.637504," ","integrate(x^2*(a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{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}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, 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)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
109,0,0,0,0.664762," ","integrate(x*(a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x \log\left(c x^{n}\right)^{2} + 2 \, a b x \log\left(c x^{n}\right) + a^{2} x}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((b^2*x*log(c*x^n)^2 + 2*a*b*x*log(c*x^n) + a^2*x)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
110,0,0,0,0.774577," ","integrate((a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
111,0,0,0,0.699962," ","integrate((a+b*log(c*x^n))^2/x/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e^{3} x^{4} + 3 \, d e^{2} x^{3} + 3 \, d^{2} e x^{2} + d^{3} x}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e^3*x^4 + 3*d*e^2*x^3 + 3*d^2*e*x^2 + d^3*x), x)","F",0
112,0,0,0,0.760561," ","integrate((a+b*log(c*x^n))^2/x^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e^{3} x^{5} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{3} + d^{3} x^{2}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e^3*x^5 + 3*d*e^2*x^4 + 3*d^2*e*x^3 + d^3*x^2), x)","F",0
113,0,0,0,0.622471," ","integrate(x^4*(a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{4} \log\left(c x^{n}\right)^{2} + 2 \, a b x^{4} \log\left(c x^{n}\right) + a^{2} x^{4}}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}, x\right)"," ",0,"integral((b^2*x^4*log(c*x^n)^2 + 2*a*b*x^4*log(c*x^n) + a^2*x^4)/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
114,0,0,0,0.513765," ","integrate(x^3*(a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x^{3} \log\left(c x^{n}\right)^{2} + 2 \, a b x^{3} \log\left(c x^{n}\right) + a^{2} x^{3}}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}, x\right)"," ",0,"integral((b^2*x^3*log(c*x^n)^2 + 2*a*b*x^3*log(c*x^n) + a^2*x^3)/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
115,0,0,0,0.738025," ","integrate(x^2*(a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{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}}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}, 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)/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
116,0,0,0,0.585684," ","integrate(x*(a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} x \log\left(c x^{n}\right)^{2} + 2 \, a b x \log\left(c x^{n}\right) + a^{2} x}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}, x\right)"," ",0,"integral((b^2*x*log(c*x^n)^2 + 2*a*b*x*log(c*x^n) + a^2*x)/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
117,0,0,0,0.820442," ","integrate((a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
118,0,0,0,0.655132," ","integrate((a+b*log(c*x^n))^2/x/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e^{4} x^{5} + 4 \, d e^{3} x^{4} + 6 \, d^{2} e^{2} x^{3} + 4 \, d^{3} e x^{2} + d^{4} x}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e^4*x^5 + 4*d*e^3*x^4 + 6*d^2*e^2*x^3 + 4*d^3*e*x^2 + d^4*x), x)","F",0
119,0,0,0,0.585416," ","integrate((a+b*log(c*x^n))^2/x^2/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e^{4} x^{6} + 4 \, d e^{3} x^{5} + 6 \, d^{2} e^{2} x^{4} + 4 \, d^{3} e x^{3} + d^{4} x^{2}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e^4*x^6 + 4*d*e^3*x^5 + 6*d^2*e^2*x^4 + 4*d^3*e*x^3 + d^4*x^2), x)","F",0
120,0,0,0,0.599982," ","integrate(x*log(x)^2/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x \log\left(x\right)^{2}}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}, x\right)"," ",0,"integral(x*log(x)^2/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
121,0,0,0,0.632735," ","integrate((a+b*log(c*x^n))^3/x/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{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}}{e x^{2} + d 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)/(e*x^2 + d*x), x)","F",0
122,0,0,0,0.623748," ","integrate((a+b*log(c*x^n))^3/x/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{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}}{e^{2} x^{3} + 2 \, d e x^{2} + d^{2} 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)/(e^2*x^3 + 2*d*e*x^2 + d^2*x), x)","F",0
123,0,0,0,0.565685," ","integrate((a+b*log(c*x^n))^3/x/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{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}}{e^{3} x^{4} + 3 \, d e^{2} x^{3} + 3 \, d^{2} e x^{2} + d^{3} 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)/(e^3*x^4 + 3*d*e^2*x^3 + 3*d^2*e*x^2 + d^3*x), x)","F",0
124,-2,0,0,0.000000," ","integrate((e*x+d)*(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
125,-2,0,0,0.000000," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
126,-2,0,0,0.000000," ","integrate((e*x+d)^3*(a+b*log(c*x^n))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
127,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))^(1/2)/(e*x+d),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
128,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))^(1/2)/(e*x+d)^2,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
129,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))^(1/2)/(e*x+d)^3,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
130,1,495,0,0.940991," ","integrate(x^3*(a+b*log(c*x^n))*(e*x+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(5040 \, b d^{\frac{9}{2}} n \log\left(\frac{e x - 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) + {\left(8776 \, b d^{4} n - 5040 \, a d^{4} - 1225 \, {\left(2 \, b e^{4} n - 9 \, a e^{4}\right)} x^{4} - 25 \, {\left(32 \, b d e^{3} n - 63 \, a d e^{3}\right)} x^{3} + 6 \, {\left(181 \, b d^{2} e^{2} n - 315 \, a d^{2} e^{2}\right)} x^{2} - 4 \, {\left(467 \, b d^{3} e n - 630 \, a d^{3} e\right)} x + 315 \, {\left(35 \, b e^{4} x^{4} + 5 \, b d e^{3} x^{3} - 6 \, b d^{2} e^{2} x^{2} + 8 \, b d^{3} e x - 16 \, b d^{4}\right)} \log\left(c\right) + 315 \, {\left(35 \, b e^{4} n x^{4} + 5 \, b d e^{3} n x^{3} - 6 \, b d^{2} e^{2} n x^{2} + 8 \, b d^{3} e n x - 16 \, b d^{4} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{99225 \, e^{4}}, \frac{2 \, {\left(10080 \, b \sqrt{-d} d^{4} n \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(8776 \, b d^{4} n - 5040 \, a d^{4} - 1225 \, {\left(2 \, b e^{4} n - 9 \, a e^{4}\right)} x^{4} - 25 \, {\left(32 \, b d e^{3} n - 63 \, a d e^{3}\right)} x^{3} + 6 \, {\left(181 \, b d^{2} e^{2} n - 315 \, a d^{2} e^{2}\right)} x^{2} - 4 \, {\left(467 \, b d^{3} e n - 630 \, a d^{3} e\right)} x + 315 \, {\left(35 \, b e^{4} x^{4} + 5 \, b d e^{3} x^{3} - 6 \, b d^{2} e^{2} x^{2} + 8 \, b d^{3} e x - 16 \, b d^{4}\right)} \log\left(c\right) + 315 \, {\left(35 \, b e^{4} n x^{4} + 5 \, b d e^{3} n x^{3} - 6 \, b d^{2} e^{2} n x^{2} + 8 \, b d^{3} e n x - 16 \, b d^{4} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{99225 \, e^{4}}\right]"," ",0,"[2/99225*(5040*b*d^(9/2)*n*log((e*x - 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) + (8776*b*d^4*n - 5040*a*d^4 - 1225*(2*b*e^4*n - 9*a*e^4)*x^4 - 25*(32*b*d*e^3*n - 63*a*d*e^3)*x^3 + 6*(181*b*d^2*e^2*n - 315*a*d^2*e^2)*x^2 - 4*(467*b*d^3*e*n - 630*a*d^3*e)*x + 315*(35*b*e^4*x^4 + 5*b*d*e^3*x^3 - 6*b*d^2*e^2*x^2 + 8*b*d^3*e*x - 16*b*d^4)*log(c) + 315*(35*b*e^4*n*x^4 + 5*b*d*e^3*n*x^3 - 6*b*d^2*e^2*n*x^2 + 8*b*d^3*e*n*x - 16*b*d^4*n)*log(x))*sqrt(e*x + d))/e^4, 2/99225*(10080*b*sqrt(-d)*d^4*n*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (8776*b*d^4*n - 5040*a*d^4 - 1225*(2*b*e^4*n - 9*a*e^4)*x^4 - 25*(32*b*d*e^3*n - 63*a*d*e^3)*x^3 + 6*(181*b*d^2*e^2*n - 315*a*d^2*e^2)*x^2 - 4*(467*b*d^3*e*n - 630*a*d^3*e)*x + 315*(35*b*e^4*x^4 + 5*b*d*e^3*x^3 - 6*b*d^2*e^2*x^2 + 8*b*d^3*e*x - 16*b*d^4)*log(c) + 315*(35*b*e^4*n*x^4 + 5*b*d*e^3*n*x^3 - 6*b*d^2*e^2*n*x^2 + 8*b*d^3*e*n*x - 16*b*d^4*n)*log(x))*sqrt(e*x + d))/e^4]","A",0
131,1,396,0,0.985997," ","integrate(x^2*(a+b*log(c*x^n))*(e*x+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(840 \, b d^{\frac{7}{2}} n \log\left(\frac{e x + 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) - {\left(1556 \, b d^{3} n - 840 \, a d^{3} + 225 \, {\left(2 \, b e^{3} n - 7 \, a e^{3}\right)} x^{3} + 9 \, {\left(24 \, b d e^{2} n - 35 \, a d e^{2}\right)} x^{2} - 2 \, {\left(179 \, b d^{2} e n - 210 \, a d^{2} e\right)} x - 105 \, {\left(15 \, b e^{3} x^{3} + 3 \, b d e^{2} x^{2} - 4 \, b d^{2} e x + 8 \, b d^{3}\right)} \log\left(c\right) - 105 \, {\left(15 \, b e^{3} n x^{3} + 3 \, b d e^{2} n x^{2} - 4 \, b d^{2} e n x + 8 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{11025 \, e^{3}}, -\frac{2 \, {\left(1680 \, b \sqrt{-d} d^{3} n \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(1556 \, b d^{3} n - 840 \, a d^{3} + 225 \, {\left(2 \, b e^{3} n - 7 \, a e^{3}\right)} x^{3} + 9 \, {\left(24 \, b d e^{2} n - 35 \, a d e^{2}\right)} x^{2} - 2 \, {\left(179 \, b d^{2} e n - 210 \, a d^{2} e\right)} x - 105 \, {\left(15 \, b e^{3} x^{3} + 3 \, b d e^{2} x^{2} - 4 \, b d^{2} e x + 8 \, b d^{3}\right)} \log\left(c\right) - 105 \, {\left(15 \, b e^{3} n x^{3} + 3 \, b d e^{2} n x^{2} - 4 \, b d^{2} e n x + 8 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{11025 \, e^{3}}\right]"," ",0,"[2/11025*(840*b*d^(7/2)*n*log((e*x + 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) - (1556*b*d^3*n - 840*a*d^3 + 225*(2*b*e^3*n - 7*a*e^3)*x^3 + 9*(24*b*d*e^2*n - 35*a*d*e^2)*x^2 - 2*(179*b*d^2*e*n - 210*a*d^2*e)*x - 105*(15*b*e^3*x^3 + 3*b*d*e^2*x^2 - 4*b*d^2*e*x + 8*b*d^3)*log(c) - 105*(15*b*e^3*n*x^3 + 3*b*d*e^2*n*x^2 - 4*b*d^2*e*n*x + 8*b*d^3*n)*log(x))*sqrt(e*x + d))/e^3, -2/11025*(1680*b*sqrt(-d)*d^3*n*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (1556*b*d^3*n - 840*a*d^3 + 225*(2*b*e^3*n - 7*a*e^3)*x^3 + 9*(24*b*d*e^2*n - 35*a*d*e^2)*x^2 - 2*(179*b*d^2*e*n - 210*a*d^2*e)*x - 105*(15*b*e^3*x^3 + 3*b*d*e^2*x^2 - 4*b*d^2*e*x + 8*b*d^3)*log(c) - 105*(15*b*e^3*n*x^3 + 3*b*d*e^2*n*x^2 - 4*b*d^2*e*n*x + 8*b*d^3*n)*log(x))*sqrt(e*x + d))/e^3]","A",0
132,1,291,0,0.606576," ","integrate(x*(a+b*log(c*x^n))*(e*x+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(30 \, b d^{\frac{5}{2}} n \log\left(\frac{e x - 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) + {\left(62 \, b d^{2} n - 30 \, a d^{2} - 9 \, {\left(2 \, b e^{2} n - 5 \, a e^{2}\right)} x^{2} - {\left(16 \, b d e n - 15 \, a d e\right)} x + 15 \, {\left(3 \, b e^{2} x^{2} + b d e x - 2 \, b d^{2}\right)} \log\left(c\right) + 15 \, {\left(3 \, b e^{2} n x^{2} + b d e n x - 2 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{225 \, e^{2}}, \frac{2 \, {\left(60 \, b \sqrt{-d} d^{2} n \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(62 \, b d^{2} n - 30 \, a d^{2} - 9 \, {\left(2 \, b e^{2} n - 5 \, a e^{2}\right)} x^{2} - {\left(16 \, b d e n - 15 \, a d e\right)} x + 15 \, {\left(3 \, b e^{2} x^{2} + b d e x - 2 \, b d^{2}\right)} \log\left(c\right) + 15 \, {\left(3 \, b e^{2} n x^{2} + b d e n x - 2 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{225 \, e^{2}}\right]"," ",0,"[2/225*(30*b*d^(5/2)*n*log((e*x - 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) + (62*b*d^2*n - 30*a*d^2 - 9*(2*b*e^2*n - 5*a*e^2)*x^2 - (16*b*d*e*n - 15*a*d*e)*x + 15*(3*b*e^2*x^2 + b*d*e*x - 2*b*d^2)*log(c) + 15*(3*b*e^2*n*x^2 + b*d*e*n*x - 2*b*d^2*n)*log(x))*sqrt(e*x + d))/e^2, 2/225*(60*b*sqrt(-d)*d^2*n*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (62*b*d^2*n - 30*a*d^2 - 9*(2*b*e^2*n - 5*a*e^2)*x^2 - (16*b*d*e*n - 15*a*d*e)*x + 15*(3*b*e^2*x^2 + b*d*e*x - 2*b*d^2)*log(c) + 15*(3*b*e^2*n*x^2 + b*d*e*n*x - 2*b*d^2*n)*log(x))*sqrt(e*x + d))/e^2]","A",0
133,1,184,0,0.686669," ","integrate((a+b*log(c*x^n))*(e*x+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(3 \, b d^{\frac{3}{2}} n \log\left(\frac{e x + 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) - {\left(8 \, b d n - 3 \, a d + {\left(2 \, b e n - 3 \, a e\right)} x - 3 \, {\left(b e x + b d\right)} \log\left(c\right) - 3 \, {\left(b e n x + b d n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{9 \, e}, -\frac{2 \, {\left(6 \, b \sqrt{-d} d n \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(8 \, b d n - 3 \, a d + {\left(2 \, b e n - 3 \, a e\right)} x - 3 \, {\left(b e x + b d\right)} \log\left(c\right) - 3 \, {\left(b e n x + b d n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{9 \, e}\right]"," ",0,"[2/9*(3*b*d^(3/2)*n*log((e*x + 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) - (8*b*d*n - 3*a*d + (2*b*e*n - 3*a*e)*x - 3*(b*e*x + b*d)*log(c) - 3*(b*e*n*x + b*d*n)*log(x))*sqrt(e*x + d))/e, -2/9*(6*b*sqrt(-d)*d*n*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (8*b*d*n - 3*a*d + (2*b*e*n - 3*a*e)*x - 3*(b*e*x + b*d)*log(c) - 3*(b*e*n*x + b*d*n)*log(x))*sqrt(e*x + d))/e]","A",0
134,0,0,0,0.560617," ","integrate((a+b*log(c*x^n))*(e*x+d)^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x + d} b \log\left(c x^{n}\right) + \sqrt{e x + d} a}{x}, x\right)"," ",0,"integral((sqrt(e*x + d)*b*log(c*x^n) + sqrt(e*x + d)*a)/x, x)","F",0
135,0,0,0,0.631940," ","integrate((a+b*log(c*x^n))*(e*x+d)^(1/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x + d} b \log\left(c x^{n}\right) + \sqrt{e x + d} a}{x^{2}}, x\right)"," ",0,"integral((sqrt(e*x + d)*b*log(c*x^n) + sqrt(e*x + d)*a)/x^2, x)","F",0
136,0,0,0,0.595818," ","integrate((a+b*log(c*x^n))*(e*x+d)^(1/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x + d} b \log\left(c x^{n}\right) + \sqrt{e x + d} a}{x^{3}}, x\right)"," ",0,"integral((sqrt(e*x + d)*b*log(c*x^n) + sqrt(e*x + d)*a)/x^3, x)","F",0
137,1,595,0,0.638604," ","integrate(x^3*(e*x+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(55440 \, b d^{\frac{11}{2}} n \log\left(\frac{e x - 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) + {\left(106616 \, b d^{5} n - 55440 \, a d^{5} - 33075 \, {\left(2 \, b e^{5} n - 11 \, a e^{5}\right)} x^{5} - 2450 \, {\left(47 \, b d e^{4} n - 198 \, a d e^{4}\right)} x^{4} - 25 \, {\left(478 \, b d^{2} e^{3} n - 693 \, a d^{2} e^{3}\right)} x^{3} + 6 \, {\left(2621 \, b d^{3} e^{2} n - 3465 \, a d^{3} e^{2}\right)} x^{2} - 4 \, {\left(6397 \, b d^{4} e n - 6930 \, a d^{4} e\right)} x + 3465 \, {\left(105 \, b e^{5} x^{5} + 140 \, b d e^{4} x^{4} + 5 \, b d^{2} e^{3} x^{3} - 6 \, b d^{3} e^{2} x^{2} + 8 \, b d^{4} e x - 16 \, b d^{5}\right)} \log\left(c\right) + 3465 \, {\left(105 \, b e^{5} n x^{5} + 140 \, b d e^{4} n x^{4} + 5 \, b d^{2} e^{3} n x^{3} - 6 \, b d^{3} e^{2} n x^{2} + 8 \, b d^{4} e n x - 16 \, b d^{5} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{4002075 \, e^{4}}, \frac{2 \, {\left(110880 \, b \sqrt{-d} d^{5} n \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(106616 \, b d^{5} n - 55440 \, a d^{5} - 33075 \, {\left(2 \, b e^{5} n - 11 \, a e^{5}\right)} x^{5} - 2450 \, {\left(47 \, b d e^{4} n - 198 \, a d e^{4}\right)} x^{4} - 25 \, {\left(478 \, b d^{2} e^{3} n - 693 \, a d^{2} e^{3}\right)} x^{3} + 6 \, {\left(2621 \, b d^{3} e^{2} n - 3465 \, a d^{3} e^{2}\right)} x^{2} - 4 \, {\left(6397 \, b d^{4} e n - 6930 \, a d^{4} e\right)} x + 3465 \, {\left(105 \, b e^{5} x^{5} + 140 \, b d e^{4} x^{4} + 5 \, b d^{2} e^{3} x^{3} - 6 \, b d^{3} e^{2} x^{2} + 8 \, b d^{4} e x - 16 \, b d^{5}\right)} \log\left(c\right) + 3465 \, {\left(105 \, b e^{5} n x^{5} + 140 \, b d e^{4} n x^{4} + 5 \, b d^{2} e^{3} n x^{3} - 6 \, b d^{3} e^{2} n x^{2} + 8 \, b d^{4} e n x - 16 \, b d^{5} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{4002075 \, e^{4}}\right]"," ",0,"[2/4002075*(55440*b*d^(11/2)*n*log((e*x - 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) + (106616*b*d^5*n - 55440*a*d^5 - 33075*(2*b*e^5*n - 11*a*e^5)*x^5 - 2450*(47*b*d*e^4*n - 198*a*d*e^4)*x^4 - 25*(478*b*d^2*e^3*n - 693*a*d^2*e^3)*x^3 + 6*(2621*b*d^3*e^2*n - 3465*a*d^3*e^2)*x^2 - 4*(6397*b*d^4*e*n - 6930*a*d^4*e)*x + 3465*(105*b*e^5*x^5 + 140*b*d*e^4*x^4 + 5*b*d^2*e^3*x^3 - 6*b*d^3*e^2*x^2 + 8*b*d^4*e*x - 16*b*d^5)*log(c) + 3465*(105*b*e^5*n*x^5 + 140*b*d*e^4*n*x^4 + 5*b*d^2*e^3*n*x^3 - 6*b*d^3*e^2*n*x^2 + 8*b*d^4*e*n*x - 16*b*d^5*n)*log(x))*sqrt(e*x + d))/e^4, 2/4002075*(110880*b*sqrt(-d)*d^5*n*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (106616*b*d^5*n - 55440*a*d^5 - 33075*(2*b*e^5*n - 11*a*e^5)*x^5 - 2450*(47*b*d*e^4*n - 198*a*d*e^4)*x^4 - 25*(478*b*d^2*e^3*n - 693*a*d^2*e^3)*x^3 + 6*(2621*b*d^3*e^2*n - 3465*a*d^3*e^2)*x^2 - 4*(6397*b*d^4*e*n - 6930*a*d^4*e)*x + 3465*(105*b*e^5*x^5 + 140*b*d*e^4*x^4 + 5*b*d^2*e^3*x^3 - 6*b*d^3*e^2*x^2 + 8*b*d^4*e*x - 16*b*d^5)*log(c) + 3465*(105*b*e^5*n*x^5 + 140*b*d*e^4*n*x^4 + 5*b*d^2*e^3*n*x^3 - 6*b*d^3*e^2*n*x^2 + 8*b*d^4*e*n*x - 16*b*d^5*n)*log(x))*sqrt(e*x + d))/e^4]","A",0
138,1,496,0,0.726829," ","integrate(x^2*(e*x+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(2520 \, b d^{\frac{9}{2}} n \log\left(\frac{e x + 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) - {\left(5228 \, b d^{4} n - 2520 \, a d^{4} + 1225 \, {\left(2 \, b e^{4} n - 9 \, a e^{4}\right)} x^{4} + 50 \, {\left(97 \, b d e^{3} n - 315 \, a d e^{3}\right)} x^{3} + 3 \, {\left(286 \, b d^{2} e^{2} n - 315 \, a d^{2} e^{2}\right)} x^{2} - 2 \, {\left(677 \, b d^{3} e n - 630 \, a d^{3} e\right)} x - 315 \, {\left(35 \, b e^{4} x^{4} + 50 \, b d e^{3} x^{3} + 3 \, b d^{2} e^{2} x^{2} - 4 \, b d^{3} e x + 8 \, b d^{4}\right)} \log\left(c\right) - 315 \, {\left(35 \, b e^{4} n x^{4} + 50 \, b d e^{3} n x^{3} + 3 \, b d^{2} e^{2} n x^{2} - 4 \, b d^{3} e n x + 8 \, b d^{4} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{99225 \, e^{3}}, -\frac{2 \, {\left(5040 \, b \sqrt{-d} d^{4} n \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(5228 \, b d^{4} n - 2520 \, a d^{4} + 1225 \, {\left(2 \, b e^{4} n - 9 \, a e^{4}\right)} x^{4} + 50 \, {\left(97 \, b d e^{3} n - 315 \, a d e^{3}\right)} x^{3} + 3 \, {\left(286 \, b d^{2} e^{2} n - 315 \, a d^{2} e^{2}\right)} x^{2} - 2 \, {\left(677 \, b d^{3} e n - 630 \, a d^{3} e\right)} x - 315 \, {\left(35 \, b e^{4} x^{4} + 50 \, b d e^{3} x^{3} + 3 \, b d^{2} e^{2} x^{2} - 4 \, b d^{3} e x + 8 \, b d^{4}\right)} \log\left(c\right) - 315 \, {\left(35 \, b e^{4} n x^{4} + 50 \, b d e^{3} n x^{3} + 3 \, b d^{2} e^{2} n x^{2} - 4 \, b d^{3} e n x + 8 \, b d^{4} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{99225 \, e^{3}}\right]"," ",0,"[2/99225*(2520*b*d^(9/2)*n*log((e*x + 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) - (5228*b*d^4*n - 2520*a*d^4 + 1225*(2*b*e^4*n - 9*a*e^4)*x^4 + 50*(97*b*d*e^3*n - 315*a*d*e^3)*x^3 + 3*(286*b*d^2*e^2*n - 315*a*d^2*e^2)*x^2 - 2*(677*b*d^3*e*n - 630*a*d^3*e)*x - 315*(35*b*e^4*x^4 + 50*b*d*e^3*x^3 + 3*b*d^2*e^2*x^2 - 4*b*d^3*e*x + 8*b*d^4)*log(c) - 315*(35*b*e^4*n*x^4 + 50*b*d*e^3*n*x^3 + 3*b*d^2*e^2*n*x^2 - 4*b*d^3*e*n*x + 8*b*d^4*n)*log(x))*sqrt(e*x + d))/e^3, -2/99225*(5040*b*sqrt(-d)*d^4*n*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (5228*b*d^4*n - 2520*a*d^4 + 1225*(2*b*e^4*n - 9*a*e^4)*x^4 + 50*(97*b*d*e^3*n - 315*a*d*e^3)*x^3 + 3*(286*b*d^2*e^2*n - 315*a*d^2*e^2)*x^2 - 2*(677*b*d^3*e*n - 630*a*d^3*e)*x - 315*(35*b*e^4*x^4 + 50*b*d*e^3*x^3 + 3*b*d^2*e^2*x^2 - 4*b*d^3*e*x + 8*b*d^4)*log(c) - 315*(35*b*e^4*n*x^4 + 50*b*d*e^3*n*x^3 + 3*b*d^2*e^2*n*x^2 - 4*b*d^3*e*n*x + 8*b*d^4*n)*log(x))*sqrt(e*x + d))/e^3]","A",0
139,1,391,0,0.723938," ","integrate(x*(e*x+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(210 \, b d^{\frac{7}{2}} n \log\left(\frac{e x - 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) + {\left(494 \, b d^{3} n - 210 \, a d^{3} - 75 \, {\left(2 \, b e^{3} n - 7 \, a e^{3}\right)} x^{3} - 6 \, {\left(61 \, b d e^{2} n - 140 \, a d e^{2}\right)} x^{2} - {\left(142 \, b d^{2} e n - 105 \, a d^{2} e\right)} x + 105 \, {\left(5 \, b e^{3} x^{3} + 8 \, b d e^{2} x^{2} + b d^{2} e x - 2 \, b d^{3}\right)} \log\left(c\right) + 105 \, {\left(5 \, b e^{3} n x^{3} + 8 \, b d e^{2} n x^{2} + b d^{2} e n x - 2 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{3675 \, e^{2}}, \frac{2 \, {\left(420 \, b \sqrt{-d} d^{3} n \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(494 \, b d^{3} n - 210 \, a d^{3} - 75 \, {\left(2 \, b e^{3} n - 7 \, a e^{3}\right)} x^{3} - 6 \, {\left(61 \, b d e^{2} n - 140 \, a d e^{2}\right)} x^{2} - {\left(142 \, b d^{2} e n - 105 \, a d^{2} e\right)} x + 105 \, {\left(5 \, b e^{3} x^{3} + 8 \, b d e^{2} x^{2} + b d^{2} e x - 2 \, b d^{3}\right)} \log\left(c\right) + 105 \, {\left(5 \, b e^{3} n x^{3} + 8 \, b d e^{2} n x^{2} + b d^{2} e n x - 2 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{3675 \, e^{2}}\right]"," ",0,"[2/3675*(210*b*d^(7/2)*n*log((e*x - 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) + (494*b*d^3*n - 210*a*d^3 - 75*(2*b*e^3*n - 7*a*e^3)*x^3 - 6*(61*b*d*e^2*n - 140*a*d*e^2)*x^2 - (142*b*d^2*e*n - 105*a*d^2*e)*x + 105*(5*b*e^3*x^3 + 8*b*d*e^2*x^2 + b*d^2*e*x - 2*b*d^3)*log(c) + 105*(5*b*e^3*n*x^3 + 8*b*d*e^2*n*x^2 + b*d^2*e*n*x - 2*b*d^3*n)*log(x))*sqrt(e*x + d))/e^2, 2/3675*(420*b*sqrt(-d)*d^3*n*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (494*b*d^3*n - 210*a*d^3 - 75*(2*b*e^3*n - 7*a*e^3)*x^3 - 6*(61*b*d*e^2*n - 140*a*d*e^2)*x^2 - (142*b*d^2*e*n - 105*a*d^2*e)*x + 105*(5*b*e^3*x^3 + 8*b*d*e^2*x^2 + b*d^2*e*x - 2*b*d^3)*log(c) + 105*(5*b*e^3*n*x^3 + 8*b*d*e^2*n*x^2 + b*d^2*e*n*x - 2*b*d^3*n)*log(x))*sqrt(e*x + d))/e^2]","A",0
140,1,288,0,0.615166," ","integrate((e*x+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(15 \, b d^{\frac{5}{2}} n \log\left(\frac{e x + 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) - {\left(46 \, b d^{2} n - 15 \, a d^{2} + 3 \, {\left(2 \, b e^{2} n - 5 \, a e^{2}\right)} x^{2} + 2 \, {\left(11 \, b d e n - 15 \, a d e\right)} x - 15 \, {\left(b e^{2} x^{2} + 2 \, b d e x + b d^{2}\right)} \log\left(c\right) - 15 \, {\left(b e^{2} n x^{2} + 2 \, b d e n x + b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{75 \, e}, -\frac{2 \, {\left(30 \, b \sqrt{-d} d^{2} n \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(46 \, b d^{2} n - 15 \, a d^{2} + 3 \, {\left(2 \, b e^{2} n - 5 \, a e^{2}\right)} x^{2} + 2 \, {\left(11 \, b d e n - 15 \, a d e\right)} x - 15 \, {\left(b e^{2} x^{2} + 2 \, b d e x + b d^{2}\right)} \log\left(c\right) - 15 \, {\left(b e^{2} n x^{2} + 2 \, b d e n x + b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{75 \, e}\right]"," ",0,"[2/75*(15*b*d^(5/2)*n*log((e*x + 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) - (46*b*d^2*n - 15*a*d^2 + 3*(2*b*e^2*n - 5*a*e^2)*x^2 + 2*(11*b*d*e*n - 15*a*d*e)*x - 15*(b*e^2*x^2 + 2*b*d*e*x + b*d^2)*log(c) - 15*(b*e^2*n*x^2 + 2*b*d*e*n*x + b*d^2*n)*log(x))*sqrt(e*x + d))/e, -2/75*(30*b*sqrt(-d)*d^2*n*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (46*b*d^2*n - 15*a*d^2 + 3*(2*b*e^2*n - 5*a*e^2)*x^2 + 2*(11*b*d*e*n - 15*a*d*e)*x - 15*(b*e^2*x^2 + 2*b*d*e*x + b*d^2)*log(c) - 15*(b*e^2*n*x^2 + 2*b*d*e*n*x + b*d^2*n)*log(x))*sqrt(e*x + d))/e]","A",0
141,0,0,0,0.794691," ","integrate((e*x+d)^(3/2)*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b e x + b d\right)} \sqrt{e x + d} \log\left(c x^{n}\right) + {\left(a e x + a d\right)} \sqrt{e x + d}}{x}, x\right)"," ",0,"integral(((b*e*x + b*d)*sqrt(e*x + d)*log(c*x^n) + (a*e*x + a*d)*sqrt(e*x + d))/x, x)","F",0
142,0,0,0,0.559201," ","integrate((e*x+d)^(3/2)*(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b e x + b d\right)} \sqrt{e x + d} \log\left(c x^{n}\right) + {\left(a e x + a d\right)} \sqrt{e x + d}}{x^{2}}, x\right)"," ",0,"integral(((b*e*x + b*d)*sqrt(e*x + d)*log(c*x^n) + (a*e*x + a*d)*sqrt(e*x + d))/x^2, x)","F",0
143,0,0,0,0.678651," ","integrate((e*x+d)^(3/2)*(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b e x + b d\right)} \sqrt{e x + d} \log\left(c x^{n}\right) + {\left(a e x + a d\right)} \sqrt{e x + d}}{x^{3}}, x\right)"," ",0,"integral(((b*e*x + b*d)*sqrt(e*x + d)*log(c*x^n) + (a*e*x + a*d)*sqrt(e*x + d))/x^3, x)","F",0
144,1,395,0,0.811242," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(1680 \, b d^{\frac{7}{2}} n \log\left(\frac{e x - 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) + {\left(2552 \, b d^{3} n - 1680 \, a d^{3} - 75 \, {\left(2 \, b e^{3} n - 7 \, a e^{3}\right)} x^{3} + 6 \, {\left(37 \, b d e^{2} n - 105 \, a d e^{2}\right)} x^{2} - 4 \, {\left(109 \, b d^{2} e n - 210 \, a d^{2} e\right)} x + 105 \, {\left(5 \, b e^{3} x^{3} - 6 \, b d e^{2} x^{2} + 8 \, b d^{2} e x - 16 \, b d^{3}\right)} \log\left(c\right) + 105 \, {\left(5 \, b e^{3} n x^{3} - 6 \, b d e^{2} n x^{2} + 8 \, b d^{2} e n x - 16 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{3675 \, e^{4}}, \frac{2 \, {\left(3360 \, b \sqrt{-d} d^{3} n \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(2552 \, b d^{3} n - 1680 \, a d^{3} - 75 \, {\left(2 \, b e^{3} n - 7 \, a e^{3}\right)} x^{3} + 6 \, {\left(37 \, b d e^{2} n - 105 \, a d e^{2}\right)} x^{2} - 4 \, {\left(109 \, b d^{2} e n - 210 \, a d^{2} e\right)} x + 105 \, {\left(5 \, b e^{3} x^{3} - 6 \, b d e^{2} x^{2} + 8 \, b d^{2} e x - 16 \, b d^{3}\right)} \log\left(c\right) + 105 \, {\left(5 \, b e^{3} n x^{3} - 6 \, b d e^{2} n x^{2} + 8 \, b d^{2} e n x - 16 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{3675 \, e^{4}}\right]"," ",0,"[2/3675*(1680*b*d^(7/2)*n*log((e*x - 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) + (2552*b*d^3*n - 1680*a*d^3 - 75*(2*b*e^3*n - 7*a*e^3)*x^3 + 6*(37*b*d*e^2*n - 105*a*d*e^2)*x^2 - 4*(109*b*d^2*e*n - 210*a*d^2*e)*x + 105*(5*b*e^3*x^3 - 6*b*d*e^2*x^2 + 8*b*d^2*e*x - 16*b*d^3)*log(c) + 105*(5*b*e^3*n*x^3 - 6*b*d*e^2*n*x^2 + 8*b*d^2*e*n*x - 16*b*d^3*n)*log(x))*sqrt(e*x + d))/e^4, 2/3675*(3360*b*sqrt(-d)*d^3*n*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (2552*b*d^3*n - 1680*a*d^3 - 75*(2*b*e^3*n - 7*a*e^3)*x^3 + 6*(37*b*d*e^2*n - 105*a*d*e^2)*x^2 - 4*(109*b*d^2*e*n - 210*a*d^2*e)*x + 105*(5*b*e^3*x^3 - 6*b*d*e^2*x^2 + 8*b*d^2*e*x - 16*b*d^3)*log(c) + 105*(5*b*e^3*n*x^3 - 6*b*d*e^2*n*x^2 + 8*b*d^2*e*n*x - 16*b*d^3*n)*log(x))*sqrt(e*x + d))/e^4]","A",0
145,1,296,0,0.746812," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(120 \, b d^{\frac{5}{2}} n \log\left(\frac{e x + 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) - {\left(188 \, b d^{2} n - 120 \, a d^{2} + 9 \, {\left(2 \, b e^{2} n - 5 \, a e^{2}\right)} x^{2} - 2 \, {\left(17 \, b d e n - 30 \, a d e\right)} x - 15 \, {\left(3 \, b e^{2} x^{2} - 4 \, b d e x + 8 \, b d^{2}\right)} \log\left(c\right) - 15 \, {\left(3 \, b e^{2} n x^{2} - 4 \, b d e n x + 8 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{225 \, e^{3}}, -\frac{2 \, {\left(240 \, b \sqrt{-d} d^{2} n \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(188 \, b d^{2} n - 120 \, a d^{2} + 9 \, {\left(2 \, b e^{2} n - 5 \, a e^{2}\right)} x^{2} - 2 \, {\left(17 \, b d e n - 30 \, a d e\right)} x - 15 \, {\left(3 \, b e^{2} x^{2} - 4 \, b d e x + 8 \, b d^{2}\right)} \log\left(c\right) - 15 \, {\left(3 \, b e^{2} n x^{2} - 4 \, b d e n x + 8 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{225 \, e^{3}}\right]"," ",0,"[2/225*(120*b*d^(5/2)*n*log((e*x + 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) - (188*b*d^2*n - 120*a*d^2 + 9*(2*b*e^2*n - 5*a*e^2)*x^2 - 2*(17*b*d*e*n - 30*a*d*e)*x - 15*(3*b*e^2*x^2 - 4*b*d*e*x + 8*b*d^2)*log(c) - 15*(3*b*e^2*n*x^2 - 4*b*d*e*n*x + 8*b*d^2*n)*log(x))*sqrt(e*x + d))/e^3, -2/225*(240*b*sqrt(-d)*d^2*n*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (188*b*d^2*n - 120*a*d^2 + 9*(2*b*e^2*n - 5*a*e^2)*x^2 - 2*(17*b*d*e*n - 30*a*d*e)*x - 15*(3*b*e^2*x^2 - 4*b*d*e*x + 8*b*d^2)*log(c) - 15*(3*b*e^2*n*x^2 - 4*b*d*e*n*x + 8*b*d^2*n)*log(x))*sqrt(e*x + d))/e^3]","A",0
146,1,189,0,0.703022," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(6 \, b d^{\frac{3}{2}} n \log\left(\frac{e x - 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) + {\left(10 \, b d n - 6 \, a d - {\left(2 \, b e n - 3 \, a e\right)} x + 3 \, {\left(b e x - 2 \, b d\right)} \log\left(c\right) + 3 \, {\left(b e n x - 2 \, b d n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{9 \, e^{2}}, \frac{2 \, {\left(12 \, b \sqrt{-d} d n \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(10 \, b d n - 6 \, a d - {\left(2 \, b e n - 3 \, a e\right)} x + 3 \, {\left(b e x - 2 \, b d\right)} \log\left(c\right) + 3 \, {\left(b e n x - 2 \, b d n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{9 \, e^{2}}\right]"," ",0,"[2/9*(6*b*d^(3/2)*n*log((e*x - 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) + (10*b*d*n - 6*a*d - (2*b*e*n - 3*a*e)*x + 3*(b*e*x - 2*b*d)*log(c) + 3*(b*e*n*x - 2*b*d*n)*log(x))*sqrt(e*x + d))/e^2, 2/9*(12*b*sqrt(-d)*d*n*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (10*b*d*n - 6*a*d - (2*b*e*n - 3*a*e)*x + 3*(b*e*x - 2*b*d)*log(c) + 3*(b*e*n*x - 2*b*d*n)*log(x))*sqrt(e*x + d))/e^2]","A",0
147,1,116,0,0.632642," ","integrate((a+b*log(c*x^n))/(e*x+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(b \sqrt{d} n \log\left(\frac{e x + 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) + {\left(b n \log\left(x\right) - 2 \, b n + b \log\left(c\right) + a\right)} \sqrt{e x + d}\right)}}{e}, -\frac{2 \, {\left(2 \, b \sqrt{-d} n \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) - {\left(b n \log\left(x\right) - 2 \, b n + b \log\left(c\right) + a\right)} \sqrt{e x + d}\right)}}{e}\right]"," ",0,"[2*(b*sqrt(d)*n*log((e*x + 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) + (b*n*log(x) - 2*b*n + b*log(c) + a)*sqrt(e*x + d))/e, -2*(2*b*sqrt(-d)*n*arctan(sqrt(e*x + d)*sqrt(-d)/d) - (b*n*log(x) - 2*b*n + b*log(c) + a)*sqrt(e*x + d))/e]","A",0
148,0,0,0,0.607897," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x + d} b \log\left(c x^{n}\right) + \sqrt{e x + d} a}{e x^{2} + d x}, x\right)"," ",0,"integral((sqrt(e*x + d)*b*log(c*x^n) + sqrt(e*x + d)*a)/(e*x^2 + d*x), x)","F",0
149,0,0,0,0.740930," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x + d} b \log\left(c x^{n}\right) + \sqrt{e x + d} a}{e x^{3} + d x^{2}}, x\right)"," ",0,"integral((sqrt(e*x + d)*b*log(c*x^n) + sqrt(e*x + d)*a)/(e*x^3 + d*x^2), x)","F",0
150,0,0,0,0.958103," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x + d} b \log\left(c x^{n}\right) + \sqrt{e x + d} a}{e x^{4} + d x^{3}}, x\right)"," ",0,"integral((sqrt(e*x + d)*b*log(c*x^n) + sqrt(e*x + d)*a)/(e*x^4 + d*x^3), x)","F",0
151,1,435,0,0.635139," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(240 \, {\left(b d^{2} e n x + b d^{3} n\right)} \sqrt{d} \log\left(\frac{e x + 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) - {\left(296 \, b d^{3} n - 240 \, a d^{3} + 3 \, {\left(2 \, b e^{3} n - 5 \, a e^{3}\right)} x^{3} - 2 \, {\left(11 \, b d e^{2} n - 15 \, a d e^{2}\right)} x^{2} + 4 \, {\left(67 \, b d^{2} e n - 30 \, a d^{2} e\right)} x - 15 \, {\left(b e^{3} x^{3} - 2 \, b d e^{2} x^{2} + 8 \, b d^{2} e x + 16 \, b d^{3}\right)} \log\left(c\right) - 15 \, {\left(b e^{3} n x^{3} - 2 \, b d e^{2} n x^{2} + 8 \, b d^{2} e n x + 16 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{75 \, {\left(e^{5} x + d e^{4}\right)}}, -\frac{2 \, {\left(480 \, {\left(b d^{2} e n x + b d^{3} n\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(296 \, b d^{3} n - 240 \, a d^{3} + 3 \, {\left(2 \, b e^{3} n - 5 \, a e^{3}\right)} x^{3} - 2 \, {\left(11 \, b d e^{2} n - 15 \, a d e^{2}\right)} x^{2} + 4 \, {\left(67 \, b d^{2} e n - 30 \, a d^{2} e\right)} x - 15 \, {\left(b e^{3} x^{3} - 2 \, b d e^{2} x^{2} + 8 \, b d^{2} e x + 16 \, b d^{3}\right)} \log\left(c\right) - 15 \, {\left(b e^{3} n x^{3} - 2 \, b d e^{2} n x^{2} + 8 \, b d^{2} e n x + 16 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{75 \, {\left(e^{5} x + d e^{4}\right)}}\right]"," ",0,"[2/75*(240*(b*d^2*e*n*x + b*d^3*n)*sqrt(d)*log((e*x + 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) - (296*b*d^3*n - 240*a*d^3 + 3*(2*b*e^3*n - 5*a*e^3)*x^3 - 2*(11*b*d*e^2*n - 15*a*d*e^2)*x^2 + 4*(67*b*d^2*e*n - 30*a*d^2*e)*x - 15*(b*e^3*x^3 - 2*b*d*e^2*x^2 + 8*b*d^2*e*x + 16*b*d^3)*log(c) - 15*(b*e^3*n*x^3 - 2*b*d*e^2*n*x^2 + 8*b*d^2*e*n*x + 16*b*d^3*n)*log(x))*sqrt(e*x + d))/(e^5*x + d*e^4), -2/75*(480*(b*d^2*e*n*x + b*d^3*n)*sqrt(-d)*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (296*b*d^3*n - 240*a*d^3 + 3*(2*b*e^3*n - 5*a*e^3)*x^3 - 2*(11*b*d*e^2*n - 15*a*d*e^2)*x^2 + 4*(67*b*d^2*e*n - 30*a*d^2*e)*x - 15*(b*e^3*x^3 - 2*b*d*e^2*x^2 + 8*b*d^2*e*x + 16*b*d^3)*log(c) - 15*(b*e^3*n*x^3 - 2*b*d*e^2*n*x^2 + 8*b*d^2*e*n*x + 16*b*d^3*n)*log(x))*sqrt(e*x + d))/(e^5*x + d*e^4)]","A",0
152,1,330,0,0.726051," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(24 \, {\left(b d e n x + b d^{2} n\right)} \sqrt{d} \log\left(\frac{e x - 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) + {\left(28 \, b d^{2} n - 24 \, a d^{2} - {\left(2 \, b e^{2} n - 3 \, a e^{2}\right)} x^{2} + 2 \, {\left(13 \, b d e n - 6 \, a d e\right)} x + 3 \, {\left(b e^{2} x^{2} - 4 \, b d e x - 8 \, b d^{2}\right)} \log\left(c\right) + 3 \, {\left(b e^{2} n x^{2} - 4 \, b d e n x - 8 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{9 \, {\left(e^{4} x + d e^{3}\right)}}, \frac{2 \, {\left(48 \, {\left(b d e n x + b d^{2} n\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(28 \, b d^{2} n - 24 \, a d^{2} - {\left(2 \, b e^{2} n - 3 \, a e^{2}\right)} x^{2} + 2 \, {\left(13 \, b d e n - 6 \, a d e\right)} x + 3 \, {\left(b e^{2} x^{2} - 4 \, b d e x - 8 \, b d^{2}\right)} \log\left(c\right) + 3 \, {\left(b e^{2} n x^{2} - 4 \, b d e n x - 8 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{9 \, {\left(e^{4} x + d e^{3}\right)}}\right]"," ",0,"[2/9*(24*(b*d*e*n*x + b*d^2*n)*sqrt(d)*log((e*x - 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) + (28*b*d^2*n - 24*a*d^2 - (2*b*e^2*n - 3*a*e^2)*x^2 + 2*(13*b*d*e*n - 6*a*d*e)*x + 3*(b*e^2*x^2 - 4*b*d*e*x - 8*b*d^2)*log(c) + 3*(b*e^2*n*x^2 - 4*b*d*e*n*x - 8*b*d^2*n)*log(x))*sqrt(e*x + d))/(e^4*x + d*e^3), 2/9*(48*(b*d*e*n*x + b*d^2*n)*sqrt(-d)*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (28*b*d^2*n - 24*a*d^2 - (2*b*e^2*n - 3*a*e^2)*x^2 + 2*(13*b*d*e*n - 6*a*d*e)*x + 3*(b*e^2*x^2 - 4*b*d*e*x - 8*b*d^2)*log(c) + 3*(b*e^2*n*x^2 - 4*b*d*e*n*x - 8*b*d^2*n)*log(x))*sqrt(e*x + d))/(e^4*x + d*e^3)]","A",0
153,1,223,0,0.755838," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(2 \, {\left(b e n x + b d n\right)} \sqrt{d} \log\left(\frac{e x + 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) - {\left(2 \, b d n - 2 \, a d + {\left(2 \, b e n - a e\right)} x - {\left(b e x + 2 \, b d\right)} \log\left(c\right) - {\left(b e n x + 2 \, b d n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{e^{3} x + d e^{2}}, -\frac{2 \, {\left(4 \, {\left(b e n x + b d n\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) + {\left(2 \, b d n - 2 \, a d + {\left(2 \, b e n - a e\right)} x - {\left(b e x + 2 \, b d\right)} \log\left(c\right) - {\left(b e n x + 2 \, b d n\right)} \log\left(x\right)\right)} \sqrt{e x + d}\right)}}{e^{3} x + d e^{2}}\right]"," ",0,"[2*(2*(b*e*n*x + b*d*n)*sqrt(d)*log((e*x + 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) - (2*b*d*n - 2*a*d + (2*b*e*n - a*e)*x - (b*e*x + 2*b*d)*log(c) - (b*e*n*x + 2*b*d*n)*log(x))*sqrt(e*x + d))/(e^3*x + d*e^2), -2*(4*(b*e*n*x + b*d*n)*sqrt(-d)*arctan(sqrt(e*x + d)*sqrt(-d)/d) + (2*b*d*n - 2*a*d + (2*b*e*n - a*e)*x - (b*e*x + 2*b*d)*log(c) - (b*e*n*x + 2*b*d*n)*log(x))*sqrt(e*x + d))/(e^3*x + d*e^2)]","A",0
154,1,155,0,0.856063," ","integrate((a+b*log(c*x^n))/(e*x+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left({\left(b e n x + b d n\right)} \sqrt{d} \log\left(\frac{e x - 2 \, \sqrt{e x + d} \sqrt{d} + 2 \, d}{x}\right) - {\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)} \sqrt{e x + d}\right)}}{d e^{2} x + d^{2} e}, \frac{2 \, {\left(2 \, {\left(b e n x + b d n\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{e x + d} \sqrt{-d}}{d}\right) - {\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)} \sqrt{e x + d}\right)}}{d e^{2} x + d^{2} e}\right]"," ",0,"[2*((b*e*n*x + b*d*n)*sqrt(d)*log((e*x - 2*sqrt(e*x + d)*sqrt(d) + 2*d)/x) - (b*d*n*log(x) + b*d*log(c) + a*d)*sqrt(e*x + d))/(d*e^2*x + d^2*e), 2*(2*(b*e*n*x + b*d*n)*sqrt(-d)*arctan(sqrt(e*x + d)*sqrt(-d)/d) - (b*d*n*log(x) + b*d*log(c) + a*d)*sqrt(e*x + d))/(d*e^2*x + d^2*e)]","A",0
155,0,0,0,0.659730," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x + d} b \log\left(c x^{n}\right) + \sqrt{e x + d} a}{e^{2} x^{3} + 2 \, d e x^{2} + d^{2} x}, x\right)"," ",0,"integral((sqrt(e*x + d)*b*log(c*x^n) + sqrt(e*x + d)*a)/(e^2*x^3 + 2*d*e*x^2 + d^2*x), x)","F",0
156,0,0,0,0.833682," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x + d} b \log\left(c x^{n}\right) + \sqrt{e x + d} a}{e^{2} x^{4} + 2 \, d e x^{3} + d^{2} x^{2}}, x\right)"," ",0,"integral((sqrt(e*x + d)*b*log(c*x^n) + sqrt(e*x + d)*a)/(e^2*x^4 + 2*d*e*x^3 + d^2*x^2), x)","F",0
157,0,0,0,0.606027," ","integrate(x^2/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{a e x + a d + {\left(b e x + b d\right)} \log\left(c x^{n}\right)}, x\right)"," ",0,"integral(x^2/(a*e*x + a*d + (b*e*x + b*d)*log(c*x^n)), x)","F",0
158,0,0,0,0.674056," ","integrate(x/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{a e x + a d + {\left(b e x + b d\right)} \log\left(c x^{n}\right)}, x\right)"," ",0,"integral(x/(a*e*x + a*d + (b*e*x + b*d)*log(c*x^n)), x)","F",0
159,0,0,0,0.457764," ","integrate(1/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a e x + a d + {\left(b e x + b d\right)} \log\left(c x^{n}\right)}, x\right)"," ",0,"integral(1/(a*e*x + a*d + (b*e*x + b*d)*log(c*x^n)), x)","F",0
160,0,0,0,0.546046," ","integrate(1/x/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a e x^{2} + a d x + {\left(b e x^{2} + b d x\right)} \log\left(c x^{n}\right)}, x\right)"," ",0,"integral(1/(a*e*x^2 + a*d*x + (b*e*x^2 + b*d*x)*log(c*x^n)), x)","F",0
161,0,0,0,0.761159," ","integrate(1/x^2/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a e x^{3} + a d x^{2} + {\left(b e x^{3} + b d x^{2}\right)} \log\left(c x^{n}\right)}, x\right)"," ",0,"integral(1/(a*e*x^3 + a*d*x^2 + (b*e*x^3 + b*d*x^2)*log(c*x^n)), x)","F",0
162,1,1222,0,0.695296," ","integrate((f*x)^m*(e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left({\left(a e^{3} m^{7} + 16 \, a e^{3} m^{6} + 106 \, a e^{3} m^{5} + 376 \, a e^{3} m^{4} + 769 \, a e^{3} m^{3} + 904 \, a e^{3} m^{2} + 564 \, a e^{3} m + 144 \, a e^{3} - {\left(b e^{3} m^{6} + 12 \, b e^{3} m^{5} + 58 \, b e^{3} m^{4} + 144 \, b e^{3} m^{3} + 193 \, b e^{3} m^{2} + 132 \, b e^{3} m + 36 \, b e^{3}\right)} n\right)} x^{4} + 3 \, {\left(a d e^{2} m^{7} + 17 \, a d e^{2} m^{6} + 119 \, a d e^{2} m^{5} + 443 \, a d e^{2} m^{4} + 944 \, a d e^{2} m^{3} + 1148 \, a d e^{2} m^{2} + 736 \, a d e^{2} m + 192 \, a d e^{2} - {\left(b d e^{2} m^{6} + 14 \, b d e^{2} m^{5} + 77 \, b d e^{2} m^{4} + 212 \, b d e^{2} m^{3} + 308 \, b d e^{2} m^{2} + 224 \, b d e^{2} m + 64 \, b d e^{2}\right)} n\right)} x^{3} + 3 \, {\left(a d^{2} e m^{7} + 18 \, a d^{2} e m^{6} + 134 \, a d^{2} e m^{5} + 532 \, a d^{2} e m^{4} + 1209 \, a d^{2} e m^{3} + 1562 \, a d^{2} e m^{2} + 1056 \, a d^{2} e m + 288 \, a d^{2} e - {\left(b d^{2} e m^{6} + 16 \, b d^{2} e m^{5} + 102 \, b d^{2} e m^{4} + 328 \, b d^{2} e m^{3} + 553 \, b d^{2} e m^{2} + 456 \, b d^{2} e m + 144 \, b d^{2} e\right)} n\right)} x^{2} + {\left(a d^{3} m^{7} + 19 \, a d^{3} m^{6} + 151 \, a d^{3} m^{5} + 649 \, a d^{3} m^{4} + 1624 \, a d^{3} m^{3} + 2356 \, a d^{3} m^{2} + 1824 \, a d^{3} m + 576 \, a d^{3} - {\left(b d^{3} m^{6} + 18 \, b d^{3} m^{5} + 133 \, b d^{3} m^{4} + 516 \, b d^{3} m^{3} + 1108 \, b d^{3} m^{2} + 1248 \, b d^{3} m + 576 \, b d^{3}\right)} n\right)} x + {\left({\left(b e^{3} m^{7} + 16 \, b e^{3} m^{6} + 106 \, b e^{3} m^{5} + 376 \, b e^{3} m^{4} + 769 \, b e^{3} m^{3} + 904 \, b e^{3} m^{2} + 564 \, b e^{3} m + 144 \, b e^{3}\right)} x^{4} + 3 \, {\left(b d e^{2} m^{7} + 17 \, b d e^{2} m^{6} + 119 \, b d e^{2} m^{5} + 443 \, b d e^{2} m^{4} + 944 \, b d e^{2} m^{3} + 1148 \, b d e^{2} m^{2} + 736 \, b d e^{2} m + 192 \, b d e^{2}\right)} x^{3} + 3 \, {\left(b d^{2} e m^{7} + 18 \, b d^{2} e m^{6} + 134 \, b d^{2} e m^{5} + 532 \, b d^{2} e m^{4} + 1209 \, b d^{2} e m^{3} + 1562 \, b d^{2} e m^{2} + 1056 \, b d^{2} e m + 288 \, b d^{2} e\right)} x^{2} + {\left(b d^{3} m^{7} + 19 \, b d^{3} m^{6} + 151 \, b d^{3} m^{5} + 649 \, b d^{3} m^{4} + 1624 \, b d^{3} m^{3} + 2356 \, b d^{3} m^{2} + 1824 \, b d^{3} m + 576 \, b d^{3}\right)} x\right)} \log\left(c\right) + {\left({\left(b e^{3} m^{7} + 16 \, b e^{3} m^{6} + 106 \, b e^{3} m^{5} + 376 \, b e^{3} m^{4} + 769 \, b e^{3} m^{3} + 904 \, b e^{3} m^{2} + 564 \, b e^{3} m + 144 \, b e^{3}\right)} n x^{4} + 3 \, {\left(b d e^{2} m^{7} + 17 \, b d e^{2} m^{6} + 119 \, b d e^{2} m^{5} + 443 \, b d e^{2} m^{4} + 944 \, b d e^{2} m^{3} + 1148 \, b d e^{2} m^{2} + 736 \, b d e^{2} m + 192 \, b d e^{2}\right)} n x^{3} + 3 \, {\left(b d^{2} e m^{7} + 18 \, b d^{2} e m^{6} + 134 \, b d^{2} e m^{5} + 532 \, b d^{2} e m^{4} + 1209 \, b d^{2} e m^{3} + 1562 \, b d^{2} e m^{2} + 1056 \, b d^{2} e m + 288 \, b d^{2} e\right)} n x^{2} + {\left(b d^{3} m^{7} + 19 \, b d^{3} m^{6} + 151 \, b d^{3} m^{5} + 649 \, b d^{3} m^{4} + 1624 \, b d^{3} m^{3} + 2356 \, b d^{3} m^{2} + 1824 \, b d^{3} m + 576 \, b d^{3}\right)} n x\right)} \log\left(x\right)\right)} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)}}{m^{8} + 20 \, m^{7} + 170 \, m^{6} + 800 \, m^{5} + 2273 \, m^{4} + 3980 \, m^{3} + 4180 \, m^{2} + 2400 \, m + 576}"," ",0,"((a*e^3*m^7 + 16*a*e^3*m^6 + 106*a*e^3*m^5 + 376*a*e^3*m^4 + 769*a*e^3*m^3 + 904*a*e^3*m^2 + 564*a*e^3*m + 144*a*e^3 - (b*e^3*m^6 + 12*b*e^3*m^5 + 58*b*e^3*m^4 + 144*b*e^3*m^3 + 193*b*e^3*m^2 + 132*b*e^3*m + 36*b*e^3)*n)*x^4 + 3*(a*d*e^2*m^7 + 17*a*d*e^2*m^6 + 119*a*d*e^2*m^5 + 443*a*d*e^2*m^4 + 944*a*d*e^2*m^3 + 1148*a*d*e^2*m^2 + 736*a*d*e^2*m + 192*a*d*e^2 - (b*d*e^2*m^6 + 14*b*d*e^2*m^5 + 77*b*d*e^2*m^4 + 212*b*d*e^2*m^3 + 308*b*d*e^2*m^2 + 224*b*d*e^2*m + 64*b*d*e^2)*n)*x^3 + 3*(a*d^2*e*m^7 + 18*a*d^2*e*m^6 + 134*a*d^2*e*m^5 + 532*a*d^2*e*m^4 + 1209*a*d^2*e*m^3 + 1562*a*d^2*e*m^2 + 1056*a*d^2*e*m + 288*a*d^2*e - (b*d^2*e*m^6 + 16*b*d^2*e*m^5 + 102*b*d^2*e*m^4 + 328*b*d^2*e*m^3 + 553*b*d^2*e*m^2 + 456*b*d^2*e*m + 144*b*d^2*e)*n)*x^2 + (a*d^3*m^7 + 19*a*d^3*m^6 + 151*a*d^3*m^5 + 649*a*d^3*m^4 + 1624*a*d^3*m^3 + 2356*a*d^3*m^2 + 1824*a*d^3*m + 576*a*d^3 - (b*d^3*m^6 + 18*b*d^3*m^5 + 133*b*d^3*m^4 + 516*b*d^3*m^3 + 1108*b*d^3*m^2 + 1248*b*d^3*m + 576*b*d^3)*n)*x + ((b*e^3*m^7 + 16*b*e^3*m^6 + 106*b*e^3*m^5 + 376*b*e^3*m^4 + 769*b*e^3*m^3 + 904*b*e^3*m^2 + 564*b*e^3*m + 144*b*e^3)*x^4 + 3*(b*d*e^2*m^7 + 17*b*d*e^2*m^6 + 119*b*d*e^2*m^5 + 443*b*d*e^2*m^4 + 944*b*d*e^2*m^3 + 1148*b*d*e^2*m^2 + 736*b*d*e^2*m + 192*b*d*e^2)*x^3 + 3*(b*d^2*e*m^7 + 18*b*d^2*e*m^6 + 134*b*d^2*e*m^5 + 532*b*d^2*e*m^4 + 1209*b*d^2*e*m^3 + 1562*b*d^2*e*m^2 + 1056*b*d^2*e*m + 288*b*d^2*e)*x^2 + (b*d^3*m^7 + 19*b*d^3*m^6 + 151*b*d^3*m^5 + 649*b*d^3*m^4 + 1624*b*d^3*m^3 + 2356*b*d^3*m^2 + 1824*b*d^3*m + 576*b*d^3)*x)*log(c) + ((b*e^3*m^7 + 16*b*e^3*m^6 + 106*b*e^3*m^5 + 376*b*e^3*m^4 + 769*b*e^3*m^3 + 904*b*e^3*m^2 + 564*b*e^3*m + 144*b*e^3)*n*x^4 + 3*(b*d*e^2*m^7 + 17*b*d*e^2*m^6 + 119*b*d*e^2*m^5 + 443*b*d*e^2*m^4 + 944*b*d*e^2*m^3 + 1148*b*d*e^2*m^2 + 736*b*d*e^2*m + 192*b*d*e^2)*n*x^3 + 3*(b*d^2*e*m^7 + 18*b*d^2*e*m^6 + 134*b*d^2*e*m^5 + 532*b*d^2*e*m^4 + 1209*b*d^2*e*m^3 + 1562*b*d^2*e*m^2 + 1056*b*d^2*e*m + 288*b*d^2*e)*n*x^2 + (b*d^3*m^7 + 19*b*d^3*m^6 + 151*b*d^3*m^5 + 649*b*d^3*m^4 + 1624*b*d^3*m^3 + 2356*b*d^3*m^2 + 1824*b*d^3*m + 576*b*d^3)*n*x)*log(x))*e^(m*log(f) + m*log(x))/(m^8 + 20*m^7 + 170*m^6 + 800*m^5 + 2273*m^4 + 3980*m^3 + 4180*m^2 + 2400*m + 576)","B",0
163,1,633,0,0.594287," ","integrate((f*x)^m*(e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left({\left(a e^{2} m^{5} + 9 \, a e^{2} m^{4} + 31 \, a e^{2} m^{3} + 51 \, a e^{2} m^{2} + 40 \, a e^{2} m + 12 \, a e^{2} - {\left(b e^{2} m^{4} + 6 \, b e^{2} m^{3} + 13 \, b e^{2} m^{2} + 12 \, b e^{2} m + 4 \, b e^{2}\right)} n\right)} x^{3} + 2 \, {\left(a d e m^{5} + 10 \, a d e m^{4} + 38 \, a d e m^{3} + 68 \, a d e m^{2} + 57 \, a d e m + 18 \, a d e - {\left(b d e m^{4} + 8 \, b d e m^{3} + 22 \, b d e m^{2} + 24 \, b d e m + 9 \, b d e\right)} n\right)} x^{2} + {\left(a d^{2} m^{5} + 11 \, a d^{2} m^{4} + 47 \, a d^{2} m^{3} + 97 \, a d^{2} m^{2} + 96 \, a d^{2} m + 36 \, a d^{2} - {\left(b d^{2} m^{4} + 10 \, b d^{2} m^{3} + 37 \, b d^{2} m^{2} + 60 \, b d^{2} m + 36 \, b d^{2}\right)} n\right)} x + {\left({\left(b e^{2} m^{5} + 9 \, b e^{2} m^{4} + 31 \, b e^{2} m^{3} + 51 \, b e^{2} m^{2} + 40 \, b e^{2} m + 12 \, b e^{2}\right)} x^{3} + 2 \, {\left(b d e m^{5} + 10 \, b d e m^{4} + 38 \, b d e m^{3} + 68 \, b d e m^{2} + 57 \, b d e m + 18 \, b d e\right)} x^{2} + {\left(b d^{2} m^{5} + 11 \, b d^{2} m^{4} + 47 \, b d^{2} m^{3} + 97 \, b d^{2} m^{2} + 96 \, b d^{2} m + 36 \, b d^{2}\right)} x\right)} \log\left(c\right) + {\left({\left(b e^{2} m^{5} + 9 \, b e^{2} m^{4} + 31 \, b e^{2} m^{3} + 51 \, b e^{2} m^{2} + 40 \, b e^{2} m + 12 \, b e^{2}\right)} n x^{3} + 2 \, {\left(b d e m^{5} + 10 \, b d e m^{4} + 38 \, b d e m^{3} + 68 \, b d e m^{2} + 57 \, b d e m + 18 \, b d e\right)} n x^{2} + {\left(b d^{2} m^{5} + 11 \, b d^{2} m^{4} + 47 \, b d^{2} m^{3} + 97 \, b d^{2} m^{2} + 96 \, b d^{2} m + 36 \, b d^{2}\right)} n x\right)} \log\left(x\right)\right)} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)}}{m^{6} + 12 \, m^{5} + 58 \, m^{4} + 144 \, m^{3} + 193 \, m^{2} + 132 \, m + 36}"," ",0,"((a*e^2*m^5 + 9*a*e^2*m^4 + 31*a*e^2*m^3 + 51*a*e^2*m^2 + 40*a*e^2*m + 12*a*e^2 - (b*e^2*m^4 + 6*b*e^2*m^3 + 13*b*e^2*m^2 + 12*b*e^2*m + 4*b*e^2)*n)*x^3 + 2*(a*d*e*m^5 + 10*a*d*e*m^4 + 38*a*d*e*m^3 + 68*a*d*e*m^2 + 57*a*d*e*m + 18*a*d*e - (b*d*e*m^4 + 8*b*d*e*m^3 + 22*b*d*e*m^2 + 24*b*d*e*m + 9*b*d*e)*n)*x^2 + (a*d^2*m^5 + 11*a*d^2*m^4 + 47*a*d^2*m^3 + 97*a*d^2*m^2 + 96*a*d^2*m + 36*a*d^2 - (b*d^2*m^4 + 10*b*d^2*m^3 + 37*b*d^2*m^2 + 60*b*d^2*m + 36*b*d^2)*n)*x + ((b*e^2*m^5 + 9*b*e^2*m^4 + 31*b*e^2*m^3 + 51*b*e^2*m^2 + 40*b*e^2*m + 12*b*e^2)*x^3 + 2*(b*d*e*m^5 + 10*b*d*e*m^4 + 38*b*d*e*m^3 + 68*b*d*e*m^2 + 57*b*d*e*m + 18*b*d*e)*x^2 + (b*d^2*m^5 + 11*b*d^2*m^4 + 47*b*d^2*m^3 + 97*b*d^2*m^2 + 96*b*d^2*m + 36*b*d^2)*x)*log(c) + ((b*e^2*m^5 + 9*b*e^2*m^4 + 31*b*e^2*m^3 + 51*b*e^2*m^2 + 40*b*e^2*m + 12*b*e^2)*n*x^3 + 2*(b*d*e*m^5 + 10*b*d*e*m^4 + 38*b*d*e*m^3 + 68*b*d*e*m^2 + 57*b*d*e*m + 18*b*d*e)*n*x^2 + (b*d^2*m^5 + 11*b*d^2*m^4 + 47*b*d^2*m^3 + 97*b*d^2*m^2 + 96*b*d^2*m + 36*b*d^2)*n*x)*log(x))*e^(m*log(f) + m*log(x))/(m^6 + 12*m^5 + 58*m^4 + 144*m^3 + 193*m^2 + 132*m + 36)","B",0
164,1,235,0,0.494483," ","integrate((f*x)^m*(e*x+d)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left({\left(a e m^{3} + 4 \, a e m^{2} + 5 \, a e m + 2 \, a e - {\left(b e m^{2} + 2 \, b e m + b e\right)} n\right)} x^{2} + {\left(a d m^{3} + 5 \, a d m^{2} + 8 \, a d m + 4 \, a d - {\left(b d m^{2} + 4 \, b d m + 4 \, b d\right)} n\right)} x + {\left({\left(b e m^{3} + 4 \, b e m^{2} + 5 \, b e m + 2 \, b e\right)} x^{2} + {\left(b d m^{3} + 5 \, b d m^{2} + 8 \, b d m + 4 \, b d\right)} x\right)} \log\left(c\right) + {\left({\left(b e m^{3} + 4 \, b e m^{2} + 5 \, b e m + 2 \, b e\right)} n x^{2} + {\left(b d m^{3} + 5 \, b d m^{2} + 8 \, b d m + 4 \, b d\right)} n x\right)} \log\left(x\right)\right)} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)}}{m^{4} + 6 \, m^{3} + 13 \, m^{2} + 12 \, m + 4}"," ",0,"((a*e*m^3 + 4*a*e*m^2 + 5*a*e*m + 2*a*e - (b*e*m^2 + 2*b*e*m + b*e)*n)*x^2 + (a*d*m^3 + 5*a*d*m^2 + 8*a*d*m + 4*a*d - (b*d*m^2 + 4*b*d*m + 4*b*d)*n)*x + ((b*e*m^3 + 4*b*e*m^2 + 5*b*e*m + 2*b*e)*x^2 + (b*d*m^3 + 5*b*d*m^2 + 8*b*d*m + 4*b*d)*x)*log(c) + ((b*e*m^3 + 4*b*e*m^2 + 5*b*e*m + 2*b*e)*n*x^2 + (b*d*m^3 + 5*b*d*m^2 + 8*b*d*m + 4*b*d)*n*x)*log(x))*e^(m*log(f) + m*log(x))/(m^4 + 6*m^3 + 13*m^2 + 12*m + 4)","B",0
165,1,52,0,0.673170," ","integrate((f*x)^m*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left({\left(b m + b\right)} n x \log\left(x\right) + {\left(b m + b\right)} x \log\left(c\right) + {\left(a m - b n + a\right)} x\right)} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)}}{m^{2} + 2 \, m + 1}"," ",0,"((b*m + b)*n*x*log(x) + (b*m + b)*x*log(c) + (a*m - b*n + a)*x)*e^(m*log(f) + m*log(x))/(m^2 + 2*m + 1)","A",0
166,0,0,0,0.670851," ","integrate((f*x)^m*(a+b*log(c*x^n))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(f x\right)^{m} b \log\left(c x^{n}\right) + \left(f x\right)^{m} a}{e x + d}, x\right)"," ",0,"integral(((f*x)^m*b*log(c*x^n) + (f*x)^m*a)/(e*x + d), x)","F",0
167,0,0,0,0.639524," ","integrate((f*x)^m*(a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(f x\right)^{m} b \log\left(c x^{n}\right) + \left(f x\right)^{m} a}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral(((f*x)^m*b*log(c*x^n) + (f*x)^m*a)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
168,0,0,0,0.561263," ","integrate(x*(b*x+a)^m*log(c*x^n),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{m} x \log\left(c x^{n}\right), x\right)"," ",0,"integral((b*x + a)^m*x*log(c*x^n), x)","F",0
169,0,0,0,0.696740," ","integrate((b*x+a)^m*log(c*x^n),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{m} \log\left(c x^{n}\right), x\right)"," ",0,"integral((b*x + a)^m*log(c*x^n), x)","F",0
170,0,0,0,0.571466," ","integrate((b*x+a)^m*log(c*x^n)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)}^{m} \log\left(c x^{n}\right)}{x}, x\right)"," ",0,"integral((b*x + a)^m*log(c*x^n)/x, x)","F",0
171,1,69,0,0.534592," ","integrate(x^5*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{64} \, {\left(b e n - 8 \, a e\right)} x^{8} - \frac{1}{36} \, {\left(b d n - 6 \, a d\right)} x^{6} + \frac{1}{24} \, {\left(3 \, b e x^{8} + 4 \, b d x^{6}\right)} \log\left(c\right) + \frac{1}{24} \, {\left(3 \, b e n x^{8} + 4 \, b d n x^{6}\right)} \log\left(x\right)"," ",0,"-1/64*(b*e*n - 8*a*e)*x^8 - 1/36*(b*d*n - 6*a*d)*x^6 + 1/24*(3*b*e*x^8 + 4*b*d*x^6)*log(c) + 1/24*(3*b*e*n*x^8 + 4*b*d*n*x^6)*log(x)","A",0
172,1,69,0,0.693387," ","integrate(x^3*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{36} \, {\left(b e n - 6 \, a e\right)} x^{6} - \frac{1}{16} \, {\left(b d n - 4 \, a d\right)} x^{4} + \frac{1}{12} \, {\left(2 \, b e x^{6} + 3 \, b d x^{4}\right)} \log\left(c\right) + \frac{1}{12} \, {\left(2 \, b e n x^{6} + 3 \, b d n x^{4}\right)} \log\left(x\right)"," ",0,"-1/36*(b*e*n - 6*a*e)*x^6 - 1/16*(b*d*n - 4*a*d)*x^4 + 1/12*(2*b*e*x^6 + 3*b*d*x^4)*log(c) + 1/12*(2*b*e*n*x^6 + 3*b*d*n*x^4)*log(x)","A",0
173,1,67,0,0.641793," ","integrate(x*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{16} \, {\left(b e n - 4 \, a e\right)} x^{4} - \frac{1}{4} \, {\left(b d n - 2 \, a d\right)} x^{2} + \frac{1}{4} \, {\left(b e x^{4} + 2 \, b d x^{2}\right)} \log\left(c\right) + \frac{1}{4} \, {\left(b e n x^{4} + 2 \, b d n x^{2}\right)} \log\left(x\right)"," ",0,"-1/16*(b*e*n - 4*a*e)*x^4 - 1/4*(b*d*n - 2*a*d)*x^2 + 1/4*(b*e*x^4 + 2*b*d*x^2)*log(c) + 1/4*(b*e*n*x^4 + 2*b*d*n*x^2)*log(x)","A",0
174,1,55,0,0.659691," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{1}{2} \, b e x^{2} \log\left(c\right) + \frac{1}{2} \, b d n \log\left(x\right)^{2} - \frac{1}{4} \, {\left(b e n - 2 \, a e\right)} x^{2} + \frac{1}{2} \, {\left(b e n x^{2} + 2 \, b d \log\left(c\right) + 2 \, a d\right)} \log\left(x\right)"," ",0,"1/2*b*e*x^2*log(c) + 1/2*b*d*n*log(x)^2 - 1/4*(b*e*n - 2*a*e)*x^2 + 1/2*(b*e*n*x^2 + 2*b*d*log(c) + 2*a*d)*log(x)","A",0
175,1,59,0,0.590964," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","\frac{2 \, b e n x^{2} \log\left(x\right)^{2} - b d n - 2 \, b d \log\left(c\right) - 2 \, a d + 2 \, {\left(2 \, b e x^{2} \log\left(c\right) + 2 \, a e x^{2} - b d n\right)} \log\left(x\right)}{4 \, x^{2}}"," ",0,"1/4*(2*b*e*n*x^2*log(x)^2 - b*d*n - 2*b*d*log(c) - 2*a*d + 2*(2*b*e*x^2*log(c) + 2*a*e*x^2 - b*d*n)*log(x))/x^2","A",0
176,1,60,0,0.618671," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^5,x, algorithm=""fricas"")","-\frac{b d n + 4 \, {\left(b e n + 2 \, a e\right)} x^{2} + 4 \, a d + 4 \, {\left(2 \, b e x^{2} + b d\right)} \log\left(c\right) + 4 \, {\left(2 \, b e n x^{2} + b d n\right)} \log\left(x\right)}{16 \, x^{4}}"," ",0,"-1/16*(b*d*n + 4*(b*e*n + 2*a*e)*x^2 + 4*a*d + 4*(2*b*e*x^2 + b*d)*log(c) + 4*(2*b*e*n*x^2 + b*d*n)*log(x))/x^4","A",0
177,1,69,0,0.580251," ","integrate(x^4*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{49} \, {\left(b e n - 7 \, a e\right)} x^{7} - \frac{1}{25} \, {\left(b d n - 5 \, a d\right)} x^{5} + \frac{1}{35} \, {\left(5 \, b e x^{7} + 7 \, b d x^{5}\right)} \log\left(c\right) + \frac{1}{35} \, {\left(5 \, b e n x^{7} + 7 \, b d n x^{5}\right)} \log\left(x\right)"," ",0,"-1/49*(b*e*n - 7*a*e)*x^7 - 1/25*(b*d*n - 5*a*d)*x^5 + 1/35*(5*b*e*x^7 + 7*b*d*x^5)*log(c) + 1/35*(5*b*e*n*x^7 + 7*b*d*n*x^5)*log(x)","A",0
178,1,69,0,0.669146," ","integrate(x^2*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{25} \, {\left(b e n - 5 \, a e\right)} x^{5} - \frac{1}{9} \, {\left(b d n - 3 \, a d\right)} x^{3} + \frac{1}{15} \, {\left(3 \, b e x^{5} + 5 \, b d x^{3}\right)} \log\left(c\right) + \frac{1}{15} \, {\left(3 \, b e n x^{5} + 5 \, b d n x^{3}\right)} \log\left(x\right)"," ",0,"-1/25*(b*e*n - 5*a*e)*x^5 - 1/9*(b*d*n - 3*a*d)*x^3 + 1/15*(3*b*e*x^5 + 5*b*d*x^3)*log(c) + 1/15*(3*b*e*n*x^5 + 5*b*d*n*x^3)*log(x)","A",0
179,1,61,0,0.678885," ","integrate((e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{9} \, {\left(b e n - 3 \, a e\right)} x^{3} - {\left(b d n - a d\right)} x + \frac{1}{3} \, {\left(b e x^{3} + 3 \, b d x\right)} \log\left(c\right) + \frac{1}{3} \, {\left(b e n x^{3} + 3 \, b d n x\right)} \log\left(x\right)"," ",0,"-1/9*(b*e*n - 3*a*e)*x^3 - (b*d*n - a*d)*x + 1/3*(b*e*x^3 + 3*b*d*x)*log(c) + 1/3*(b*e*n*x^3 + 3*b*d*n*x)*log(x)","A",0
180,1,58,0,0.683604," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","-\frac{b d n + {\left(b e n - a e\right)} x^{2} + a d - {\left(b e x^{2} - b d\right)} \log\left(c\right) - {\left(b e n x^{2} - b d n\right)} \log\left(x\right)}{x}"," ",0,"-(b*d*n + (b*e*n - a*e)*x^2 + a*d - (b*e*x^2 - b*d)*log(c) - (b*e*n*x^2 - b*d*n)*log(x))/x","A",0
181,1,59,0,0.569036," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^4,x, algorithm=""fricas"")","-\frac{b d n + 9 \, {\left(b e n + a e\right)} x^{2} + 3 \, a d + 3 \, {\left(3 \, b e x^{2} + b d\right)} \log\left(c\right) + 3 \, {\left(3 \, b e n x^{2} + b d n\right)} \log\left(x\right)}{9 \, x^{3}}"," ",0,"-1/9*(b*d*n + 9*(b*e*n + a*e)*x^2 + 3*a*d + 3*(3*b*e*x^2 + b*d)*log(c) + 3*(3*b*e*n*x^2 + b*d*n)*log(x))/x^3","A",0
182,1,63,0,0.753421," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^6,x, algorithm=""fricas"")","-\frac{9 \, b d n + 25 \, {\left(b e n + 3 \, a e\right)} x^{2} + 45 \, a d + 15 \, {\left(5 \, b e x^{2} + 3 \, b d\right)} \log\left(c\right) + 15 \, {\left(5 \, b e n x^{2} + 3 \, b d n\right)} \log\left(x\right)}{225 \, x^{5}}"," ",0,"-1/225*(9*b*d*n + 25*(b*e*n + 3*a*e)*x^2 + 45*a*d + 15*(5*b*e*x^2 + 3*b*d)*log(c) + 15*(5*b*e*n*x^2 + 3*b*d*n)*log(x))/x^5","A",0
183,1,118,0,0.608357," ","integrate(x^5*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{100} \, {\left(b e^{2} n - 10 \, a e^{2}\right)} x^{10} - \frac{1}{32} \, {\left(b d e n - 8 \, a d e\right)} x^{8} - \frac{1}{36} \, {\left(b d^{2} n - 6 \, a d^{2}\right)} x^{6} + \frac{1}{60} \, {\left(6 \, b e^{2} x^{10} + 15 \, b d e x^{8} + 10 \, b d^{2} x^{6}\right)} \log\left(c\right) + \frac{1}{60} \, {\left(6 \, b e^{2} n x^{10} + 15 \, b d e n x^{8} + 10 \, b d^{2} n x^{6}\right)} \log\left(x\right)"," ",0,"-1/100*(b*e^2*n - 10*a*e^2)*x^10 - 1/32*(b*d*e*n - 8*a*d*e)*x^8 - 1/36*(b*d^2*n - 6*a*d^2)*x^6 + 1/60*(6*b*e^2*x^10 + 15*b*d*e*x^8 + 10*b*d^2*x^6)*log(c) + 1/60*(6*b*e^2*n*x^10 + 15*b*d*e*n*x^8 + 10*b*d^2*n*x^6)*log(x)","A",0
184,1,118,0,0.610582," ","integrate(x^3*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{64} \, {\left(b e^{2} n - 8 \, a e^{2}\right)} x^{8} - \frac{1}{18} \, {\left(b d e n - 6 \, a d e\right)} x^{6} - \frac{1}{16} \, {\left(b d^{2} n - 4 \, a d^{2}\right)} x^{4} + \frac{1}{24} \, {\left(3 \, b e^{2} x^{8} + 8 \, b d e x^{6} + 6 \, b d^{2} x^{4}\right)} \log\left(c\right) + \frac{1}{24} \, {\left(3 \, b e^{2} n x^{8} + 8 \, b d e n x^{6} + 6 \, b d^{2} n x^{4}\right)} \log\left(x\right)"," ",0,"-1/64*(b*e^2*n - 8*a*e^2)*x^8 - 1/18*(b*d*e*n - 6*a*d*e)*x^6 - 1/16*(b*d^2*n - 4*a*d^2)*x^4 + 1/24*(3*b*e^2*x^8 + 8*b*d*e*x^6 + 6*b*d^2*x^4)*log(c) + 1/24*(3*b*e^2*n*x^8 + 8*b*d*e*n*x^6 + 6*b*d^2*n*x^4)*log(x)","A",0
185,1,116,0,0.549679," ","integrate(x*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{36} \, {\left(b e^{2} n - 6 \, a e^{2}\right)} x^{6} - \frac{1}{8} \, {\left(b d e n - 4 \, a d e\right)} x^{4} - \frac{1}{4} \, {\left(b d^{2} n - 2 \, a d^{2}\right)} x^{2} + \frac{1}{6} \, {\left(b e^{2} x^{6} + 3 \, b d e x^{4} + 3 \, b d^{2} x^{2}\right)} \log\left(c\right) + \frac{1}{6} \, {\left(b e^{2} n x^{6} + 3 \, b d e n x^{4} + 3 \, b d^{2} n x^{2}\right)} \log\left(x\right)"," ",0,"-1/36*(b*e^2*n - 6*a*e^2)*x^6 - 1/8*(b*d*e*n - 4*a*d*e)*x^4 - 1/4*(b*d^2*n - 2*a*d^2)*x^2 + 1/6*(b*e^2*x^6 + 3*b*d*e*x^4 + 3*b*d^2*x^2)*log(c) + 1/6*(b*e^2*n*x^6 + 3*b*d*e*n*x^4 + 3*b*d^2*n*x^2)*log(x)","A",0
186,1,104,0,0.579578," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{1}{2} \, b d^{2} n \log\left(x\right)^{2} - \frac{1}{16} \, {\left(b e^{2} n - 4 \, a e^{2}\right)} x^{4} - \frac{1}{2} \, {\left(b d e n - 2 \, a d e\right)} x^{2} + \frac{1}{4} \, {\left(b e^{2} x^{4} + 4 \, b d e x^{2}\right)} \log\left(c\right) + \frac{1}{4} \, {\left(b e^{2} n x^{4} + 4 \, b d e n x^{2} + 4 \, b d^{2} \log\left(c\right) + 4 \, a d^{2}\right)} \log\left(x\right)"," ",0,"1/2*b*d^2*n*log(x)^2 - 1/16*(b*e^2*n - 4*a*e^2)*x^4 - 1/2*(b*d*e*n - 2*a*d*e)*x^2 + 1/4*(b*e^2*x^4 + 4*b*d*e*x^2)*log(c) + 1/4*(b*e^2*n*x^4 + 4*b*d*e*n*x^2 + 4*b*d^2*log(c) + 4*a*d^2)*log(x)","A",0
187,1,108,0,0.702915," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","\frac{4 \, b d e n x^{2} \log\left(x\right)^{2} - {\left(b e^{2} n - 2 \, a e^{2}\right)} x^{4} - b d^{2} n - 2 \, a d^{2} + 2 \, {\left(b e^{2} x^{4} - b d^{2}\right)} \log\left(c\right) + 2 \, {\left(b e^{2} n x^{4} + 4 \, b d e x^{2} \log\left(c\right) + 4 \, a d e x^{2} - b d^{2} n\right)} \log\left(x\right)}{4 \, x^{2}}"," ",0,"1/4*(4*b*d*e*n*x^2*log(x)^2 - (b*e^2*n - 2*a*e^2)*x^4 - b*d^2*n - 2*a*d^2 + 2*(b*e^2*x^4 - b*d^2)*log(c) + 2*(b*e^2*n*x^4 + 4*b*d*e*x^2*log(c) + 4*a*d*e*x^2 - b*d^2*n)*log(x))/x^2","A",0
188,1,108,0,0.702637," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^5,x, algorithm=""fricas"")","\frac{8 \, b e^{2} n x^{4} \log\left(x\right)^{2} - b d^{2} n - 4 \, a d^{2} - 8 \, {\left(b d e n + 2 \, a d e\right)} x^{2} - 4 \, {\left(4 \, b d e x^{2} + b d^{2}\right)} \log\left(c\right) + 4 \, {\left(4 \, b e^{2} x^{4} \log\left(c\right) + 4 \, a e^{2} x^{4} - 4 \, b d e n x^{2} - b d^{2} n\right)} \log\left(x\right)}{16 \, x^{4}}"," ",0,"1/16*(8*b*e^2*n*x^4*log(x)^2 - b*d^2*n - 4*a*d^2 - 8*(b*d*e*n + 2*a*d*e)*x^2 - 4*(4*b*d*e*x^2 + b*d^2)*log(c) + 4*(4*b*e^2*x^4*log(c) + 4*a*e^2*x^4 - 4*b*d*e*n*x^2 - b*d^2*n)*log(x))/x^4","A",0
189,1,118,0,0.704408," ","integrate(x^4*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{81} \, {\left(b e^{2} n - 9 \, a e^{2}\right)} x^{9} - \frac{2}{49} \, {\left(b d e n - 7 \, a d e\right)} x^{7} - \frac{1}{25} \, {\left(b d^{2} n - 5 \, a d^{2}\right)} x^{5} + \frac{1}{315} \, {\left(35 \, b e^{2} x^{9} + 90 \, b d e x^{7} + 63 \, b d^{2} x^{5}\right)} \log\left(c\right) + \frac{1}{315} \, {\left(35 \, b e^{2} n x^{9} + 90 \, b d e n x^{7} + 63 \, b d^{2} n x^{5}\right)} \log\left(x\right)"," ",0,"-1/81*(b*e^2*n - 9*a*e^2)*x^9 - 2/49*(b*d*e*n - 7*a*d*e)*x^7 - 1/25*(b*d^2*n - 5*a*d^2)*x^5 + 1/315*(35*b*e^2*x^9 + 90*b*d*e*x^7 + 63*b*d^2*x^5)*log(c) + 1/315*(35*b*e^2*n*x^9 + 90*b*d*e*n*x^7 + 63*b*d^2*n*x^5)*log(x)","A",0
190,1,118,0,0.637876," ","integrate(x^2*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{49} \, {\left(b e^{2} n - 7 \, a e^{2}\right)} x^{7} - \frac{2}{25} \, {\left(b d e n - 5 \, a d e\right)} x^{5} - \frac{1}{9} \, {\left(b d^{2} n - 3 \, a d^{2}\right)} x^{3} + \frac{1}{105} \, {\left(15 \, b e^{2} x^{7} + 42 \, b d e x^{5} + 35 \, b d^{2} x^{3}\right)} \log\left(c\right) + \frac{1}{105} \, {\left(15 \, b e^{2} n x^{7} + 42 \, b d e n x^{5} + 35 \, b d^{2} n x^{3}\right)} \log\left(x\right)"," ",0,"-1/49*(b*e^2*n - 7*a*e^2)*x^7 - 2/25*(b*d*e*n - 5*a*d*e)*x^5 - 1/9*(b*d^2*n - 3*a*d^2)*x^3 + 1/105*(15*b*e^2*x^7 + 42*b*d*e*x^5 + 35*b*d^2*x^3)*log(c) + 1/105*(15*b*e^2*n*x^7 + 42*b*d*e*n*x^5 + 35*b*d^2*n*x^3)*log(x)","A",0
191,1,112,0,0.708132," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{25} \, {\left(b e^{2} n - 5 \, a e^{2}\right)} x^{5} - \frac{2}{9} \, {\left(b d e n - 3 \, a d e\right)} x^{3} - {\left(b d^{2} n - a d^{2}\right)} x + \frac{1}{15} \, {\left(3 \, b e^{2} x^{5} + 10 \, b d e x^{3} + 15 \, b d^{2} x\right)} \log\left(c\right) + \frac{1}{15} \, {\left(3 \, b e^{2} n x^{5} + 10 \, b d e n x^{3} + 15 \, b d^{2} n x\right)} \log\left(x\right)"," ",0,"-1/25*(b*e^2*n - 5*a*e^2)*x^5 - 2/9*(b*d*e*n - 3*a*d*e)*x^3 - (b*d^2*n - a*d^2)*x + 1/15*(3*b*e^2*x^5 + 10*b*d*e*x^3 + 15*b*d^2*x)*log(c) + 1/15*(3*b*e^2*n*x^5 + 10*b*d*e*n*x^3 + 15*b*d^2*n*x)*log(x)","A",0
192,1,109,0,0.815505," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","-\frac{{\left(b e^{2} n - 3 \, a e^{2}\right)} x^{4} + 9 \, b d^{2} n + 9 \, a d^{2} + 18 \, {\left(b d e n - a d e\right)} x^{2} - 3 \, {\left(b e^{2} x^{4} + 6 \, b d e x^{2} - 3 \, b d^{2}\right)} \log\left(c\right) - 3 \, {\left(b e^{2} n x^{4} + 6 \, b d e n x^{2} - 3 \, b d^{2} n\right)} \log\left(x\right)}{9 \, x}"," ",0,"-1/9*((b*e^2*n - 3*a*e^2)*x^4 + 9*b*d^2*n + 9*a*d^2 + 18*(b*d*e*n - a*d*e)*x^2 - 3*(b*e^2*x^4 + 6*b*d*e*x^2 - 3*b*d^2)*log(c) - 3*(b*e^2*n*x^4 + 6*b*d*e*n*x^2 - 3*b*d^2*n)*log(x))/x","A",0
193,1,110,0,0.732435," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^4,x, algorithm=""fricas"")","-\frac{9 \, {\left(b e^{2} n - a e^{2}\right)} x^{4} + b d^{2} n + 3 \, a d^{2} + 18 \, {\left(b d e n + a d e\right)} x^{2} - 3 \, {\left(3 \, b e^{2} x^{4} - 6 \, b d e x^{2} - b d^{2}\right)} \log\left(c\right) - 3 \, {\left(3 \, b e^{2} n x^{4} - 6 \, b d e n x^{2} - b d^{2} n\right)} \log\left(x\right)}{9 \, x^{3}}"," ",0,"-1/9*(9*(b*e^2*n - a*e^2)*x^4 + b*d^2*n + 3*a*d^2 + 18*(b*d*e*n + a*d*e)*x^2 - 3*(3*b*e^2*x^4 - 6*b*d*e*x^2 - b*d^2)*log(c) - 3*(3*b*e^2*n*x^4 - 6*b*d*e*n*x^2 - b*d^2*n)*log(x))/x^3","A",0
194,1,111,0,0.685359," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^6,x, algorithm=""fricas"")","-\frac{225 \, {\left(b e^{2} n + a e^{2}\right)} x^{4} + 9 \, b d^{2} n + 45 \, a d^{2} + 50 \, {\left(b d e n + 3 \, a d e\right)} x^{2} + 15 \, {\left(15 \, b e^{2} x^{4} + 10 \, b d e x^{2} + 3 \, b d^{2}\right)} \log\left(c\right) + 15 \, {\left(15 \, b e^{2} n x^{4} + 10 \, b d e n x^{2} + 3 \, b d^{2} n\right)} \log\left(x\right)}{225 \, x^{5}}"," ",0,"-1/225*(225*(b*e^2*n + a*e^2)*x^4 + 9*b*d^2*n + 45*a*d^2 + 50*(b*d*e*n + 3*a*d*e)*x^2 + 15*(15*b*e^2*x^4 + 10*b*d*e*x^2 + 3*b*d^2)*log(c) + 15*(15*b*e^2*n*x^4 + 10*b*d*e*n*x^2 + 3*b*d^2*n)*log(x))/x^5","A",0
195,1,112,0,0.648098," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^8,x, algorithm=""fricas"")","-\frac{1225 \, {\left(b e^{2} n + 3 \, a e^{2}\right)} x^{4} + 225 \, b d^{2} n + 1575 \, a d^{2} + 882 \, {\left(b d e n + 5 \, a d e\right)} x^{2} + 105 \, {\left(35 \, b e^{2} x^{4} + 42 \, b d e x^{2} + 15 \, b d^{2}\right)} \log\left(c\right) + 105 \, {\left(35 \, b e^{2} n x^{4} + 42 \, b d e n x^{2} + 15 \, b d^{2} n\right)} \log\left(x\right)}{11025 \, x^{7}}"," ",0,"-1/11025*(1225*(b*e^2*n + 3*a*e^2)*x^4 + 225*b*d^2*n + 1575*a*d^2 + 882*(b*d*e*n + 5*a*d*e)*x^2 + 105*(35*b*e^2*x^4 + 42*b*d*e*x^2 + 15*b*d^2)*log(c) + 105*(35*b*e^2*n*x^4 + 42*b*d*e*n*x^2 + 15*b*d^2*n)*log(x))/x^7","A",0
196,1,167,0,0.590168," ","integrate(x^5*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{144} \, {\left(b e^{3} n - 12 \, a e^{3}\right)} x^{12} - \frac{3}{100} \, {\left(b d e^{2} n - 10 \, a d e^{2}\right)} x^{10} - \frac{3}{64} \, {\left(b d^{2} e n - 8 \, a d^{2} e\right)} x^{8} - \frac{1}{36} \, {\left(b d^{3} n - 6 \, a d^{3}\right)} x^{6} + \frac{1}{120} \, {\left(10 \, b e^{3} x^{12} + 36 \, b d e^{2} x^{10} + 45 \, b d^{2} e x^{8} + 20 \, b d^{3} x^{6}\right)} \log\left(c\right) + \frac{1}{120} \, {\left(10 \, b e^{3} n x^{12} + 36 \, b d e^{2} n x^{10} + 45 \, b d^{2} e n x^{8} + 20 \, b d^{3} n x^{6}\right)} \log\left(x\right)"," ",0,"-1/144*(b*e^3*n - 12*a*e^3)*x^12 - 3/100*(b*d*e^2*n - 10*a*d*e^2)*x^10 - 3/64*(b*d^2*e*n - 8*a*d^2*e)*x^8 - 1/36*(b*d^3*n - 6*a*d^3)*x^6 + 1/120*(10*b*e^3*x^12 + 36*b*d*e^2*x^10 + 45*b*d^2*e*x^8 + 20*b*d^3*x^6)*log(c) + 1/120*(10*b*e^3*n*x^12 + 36*b*d*e^2*n*x^10 + 45*b*d^2*e*n*x^8 + 20*b*d^3*n*x^6)*log(x)","A",0
197,1,167,0,0.729469," ","integrate(x^3*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{100} \, {\left(b e^{3} n - 10 \, a e^{3}\right)} x^{10} - \frac{3}{64} \, {\left(b d e^{2} n - 8 \, a d e^{2}\right)} x^{8} - \frac{1}{12} \, {\left(b d^{2} e n - 6 \, a d^{2} e\right)} x^{6} - \frac{1}{16} \, {\left(b d^{3} n - 4 \, a d^{3}\right)} x^{4} + \frac{1}{40} \, {\left(4 \, b e^{3} x^{10} + 15 \, b d e^{2} x^{8} + 20 \, b d^{2} e x^{6} + 10 \, b d^{3} x^{4}\right)} \log\left(c\right) + \frac{1}{40} \, {\left(4 \, b e^{3} n x^{10} + 15 \, b d e^{2} n x^{8} + 20 \, b d^{2} e n x^{6} + 10 \, b d^{3} n x^{4}\right)} \log\left(x\right)"," ",0,"-1/100*(b*e^3*n - 10*a*e^3)*x^10 - 3/64*(b*d*e^2*n - 8*a*d*e^2)*x^8 - 1/12*(b*d^2*e*n - 6*a*d^2*e)*x^6 - 1/16*(b*d^3*n - 4*a*d^3)*x^4 + 1/40*(4*b*e^3*x^10 + 15*b*d*e^2*x^8 + 20*b*d^2*e*x^6 + 10*b*d^3*x^4)*log(c) + 1/40*(4*b*e^3*n*x^10 + 15*b*d*e^2*n*x^8 + 20*b*d^2*e*n*x^6 + 10*b*d^3*n*x^4)*log(x)","A",0
198,1,165,0,0.741678," ","integrate(x*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{64} \, {\left(b e^{3} n - 8 \, a e^{3}\right)} x^{8} - \frac{1}{12} \, {\left(b d e^{2} n - 6 \, a d e^{2}\right)} x^{6} - \frac{3}{16} \, {\left(b d^{2} e n - 4 \, a d^{2} e\right)} x^{4} - \frac{1}{4} \, {\left(b d^{3} n - 2 \, a d^{3}\right)} x^{2} + \frac{1}{8} \, {\left(b e^{3} x^{8} + 4 \, b d e^{2} x^{6} + 6 \, b d^{2} e x^{4} + 4 \, b d^{3} x^{2}\right)} \log\left(c\right) + \frac{1}{8} \, {\left(b e^{3} n x^{8} + 4 \, b d e^{2} n x^{6} + 6 \, b d^{2} e n x^{4} + 4 \, b d^{3} n x^{2}\right)} \log\left(x\right)"," ",0,"-1/64*(b*e^3*n - 8*a*e^3)*x^8 - 1/12*(b*d*e^2*n - 6*a*d*e^2)*x^6 - 3/16*(b*d^2*e*n - 4*a*d^2*e)*x^4 - 1/4*(b*d^3*n - 2*a*d^3)*x^2 + 1/8*(b*e^3*x^8 + 4*b*d*e^2*x^6 + 6*b*d^2*e*x^4 + 4*b*d^3*x^2)*log(c) + 1/8*(b*e^3*n*x^8 + 4*b*d*e^2*n*x^6 + 6*b*d^2*e*n*x^4 + 4*b*d^3*n*x^2)*log(x)","B",0
199,1,155,0,0.583283," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","-\frac{1}{36} \, {\left(b e^{3} n - 6 \, a e^{3}\right)} x^{6} + \frac{1}{2} \, b d^{3} n \log\left(x\right)^{2} - \frac{3}{16} \, {\left(b d e^{2} n - 4 \, a d e^{2}\right)} x^{4} - \frac{3}{4} \, {\left(b d^{2} e n - 2 \, a d^{2} e\right)} x^{2} + \frac{1}{12} \, {\left(2 \, b e^{3} x^{6} + 9 \, b d e^{2} x^{4} + 18 \, b d^{2} e x^{2}\right)} \log\left(c\right) + \frac{1}{12} \, {\left(2 \, b e^{3} n x^{6} + 9 \, b d e^{2} n x^{4} + 18 \, b d^{2} e n x^{2} + 12 \, b d^{3} \log\left(c\right) + 12 \, a d^{3}\right)} \log\left(x\right)"," ",0,"-1/36*(b*e^3*n - 6*a*e^3)*x^6 + 1/2*b*d^3*n*log(x)^2 - 3/16*(b*d*e^2*n - 4*a*d*e^2)*x^4 - 3/4*(b*d^2*e*n - 2*a*d^2*e)*x^2 + 1/12*(2*b*e^3*x^6 + 9*b*d*e^2*x^4 + 18*b*d^2*e*x^2)*log(c) + 1/12*(2*b*e^3*n*x^6 + 9*b*d*e^2*n*x^4 + 18*b*d^2*e*n*x^2 + 12*b*d^3*log(c) + 12*a*d^3)*log(x)","A",0
200,1,155,0,0.788903," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","\frac{24 \, b d^{2} e n x^{2} \log\left(x\right)^{2} - {\left(b e^{3} n - 4 \, a e^{3}\right)} x^{6} - 4 \, b d^{3} n - 12 \, {\left(b d e^{2} n - 2 \, a d e^{2}\right)} x^{4} - 8 \, a d^{3} + 4 \, {\left(b e^{3} x^{6} + 6 \, b d e^{2} x^{4} - 2 \, b d^{3}\right)} \log\left(c\right) + 4 \, {\left(b e^{3} n x^{6} + 6 \, b d e^{2} n x^{4} + 12 \, b d^{2} e x^{2} \log\left(c\right) + 12 \, a d^{2} e x^{2} - 2 \, b d^{3} n\right)} \log\left(x\right)}{16 \, x^{2}}"," ",0,"1/16*(24*b*d^2*e*n*x^2*log(x)^2 - (b*e^3*n - 4*a*e^3)*x^6 - 4*b*d^3*n - 12*(b*d*e^2*n - 2*a*d*e^2)*x^4 - 8*a*d^3 + 4*(b*e^3*x^6 + 6*b*d*e^2*x^4 - 2*b*d^3)*log(c) + 4*(b*e^3*n*x^6 + 6*b*d*e^2*n*x^4 + 12*b*d^2*e*x^2*log(c) + 12*a*d^2*e*x^2 - 2*b*d^3*n)*log(x))/x^2","A",0
201,1,157,0,0.844998," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^5,x, algorithm=""fricas"")","\frac{24 \, b d e^{2} n x^{4} \log\left(x\right)^{2} - 4 \, {\left(b e^{3} n - 2 \, a e^{3}\right)} x^{6} - b d^{3} n - 4 \, a d^{3} - 12 \, {\left(b d^{2} e n + 2 \, a d^{2} e\right)} x^{2} + 4 \, {\left(2 \, b e^{3} x^{6} - 6 \, b d^{2} e x^{2} - b d^{3}\right)} \log\left(c\right) + 4 \, {\left(2 \, b e^{3} n x^{6} + 12 \, b d e^{2} x^{4} \log\left(c\right) + 12 \, a d e^{2} x^{4} - 6 \, b d^{2} e n x^{2} - b d^{3} n\right)} \log\left(x\right)}{16 \, x^{4}}"," ",0,"1/16*(24*b*d*e^2*n*x^4*log(x)^2 - 4*(b*e^3*n - 2*a*e^3)*x^6 - b*d^3*n - 4*a*d^3 - 12*(b*d^2*e*n + 2*a*d^2*e)*x^2 + 4*(2*b*e^3*x^6 - 6*b*d^2*e*x^2 - b*d^3)*log(c) + 4*(2*b*e^3*n*x^6 + 12*b*d*e^2*x^4*log(c) + 12*a*d*e^2*x^4 - 6*b*d^2*e*n*x^2 - b*d^3*n)*log(x))/x^4","A",0
202,1,167,0,0.803350," ","integrate(x^4*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{121} \, {\left(b e^{3} n - 11 \, a e^{3}\right)} x^{11} - \frac{1}{27} \, {\left(b d e^{2} n - 9 \, a d e^{2}\right)} x^{9} - \frac{3}{49} \, {\left(b d^{2} e n - 7 \, a d^{2} e\right)} x^{7} - \frac{1}{25} \, {\left(b d^{3} n - 5 \, a d^{3}\right)} x^{5} + \frac{1}{1155} \, {\left(105 \, b e^{3} x^{11} + 385 \, b d e^{2} x^{9} + 495 \, b d^{2} e x^{7} + 231 \, b d^{3} x^{5}\right)} \log\left(c\right) + \frac{1}{1155} \, {\left(105 \, b e^{3} n x^{11} + 385 \, b d e^{2} n x^{9} + 495 \, b d^{2} e n x^{7} + 231 \, b d^{3} n x^{5}\right)} \log\left(x\right)"," ",0,"-1/121*(b*e^3*n - 11*a*e^3)*x^11 - 1/27*(b*d*e^2*n - 9*a*d*e^2)*x^9 - 3/49*(b*d^2*e*n - 7*a*d^2*e)*x^7 - 1/25*(b*d^3*n - 5*a*d^3)*x^5 + 1/1155*(105*b*e^3*x^11 + 385*b*d*e^2*x^9 + 495*b*d^2*e*x^7 + 231*b*d^3*x^5)*log(c) + 1/1155*(105*b*e^3*n*x^11 + 385*b*d*e^2*n*x^9 + 495*b*d^2*e*n*x^7 + 231*b*d^3*n*x^5)*log(x)","A",0
203,1,167,0,0.912343," ","integrate(x^2*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{81} \, {\left(b e^{3} n - 9 \, a e^{3}\right)} x^{9} - \frac{3}{49} \, {\left(b d e^{2} n - 7 \, a d e^{2}\right)} x^{7} - \frac{3}{25} \, {\left(b d^{2} e n - 5 \, a d^{2} e\right)} x^{5} - \frac{1}{9} \, {\left(b d^{3} n - 3 \, a d^{3}\right)} x^{3} + \frac{1}{315} \, {\left(35 \, b e^{3} x^{9} + 135 \, b d e^{2} x^{7} + 189 \, b d^{2} e x^{5} + 105 \, b d^{3} x^{3}\right)} \log\left(c\right) + \frac{1}{315} \, {\left(35 \, b e^{3} n x^{9} + 135 \, b d e^{2} n x^{7} + 189 \, b d^{2} e n x^{5} + 105 \, b d^{3} n x^{3}\right)} \log\left(x\right)"," ",0,"-1/81*(b*e^3*n - 9*a*e^3)*x^9 - 3/49*(b*d*e^2*n - 7*a*d*e^2)*x^7 - 3/25*(b*d^2*e*n - 5*a*d^2*e)*x^5 - 1/9*(b*d^3*n - 3*a*d^3)*x^3 + 1/315*(35*b*e^3*x^9 + 135*b*d*e^2*x^7 + 189*b*d^2*e*x^5 + 105*b*d^3*x^3)*log(c) + 1/315*(35*b*e^3*n*x^9 + 135*b*d*e^2*n*x^7 + 189*b*d^2*e*n*x^5 + 105*b*d^3*n*x^3)*log(x)","A",0
204,1,161,0,0.709810," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","-\frac{1}{49} \, {\left(b e^{3} n - 7 \, a e^{3}\right)} x^{7} - \frac{3}{25} \, {\left(b d e^{2} n - 5 \, a d e^{2}\right)} x^{5} - \frac{1}{3} \, {\left(b d^{2} e n - 3 \, a d^{2} e\right)} x^{3} - {\left(b d^{3} n - a d^{3}\right)} x + \frac{1}{35} \, {\left(5 \, b e^{3} x^{7} + 21 \, b d e^{2} x^{5} + 35 \, b d^{2} e x^{3} + 35 \, b d^{3} x\right)} \log\left(c\right) + \frac{1}{35} \, {\left(5 \, b e^{3} n x^{7} + 21 \, b d e^{2} n x^{5} + 35 \, b d^{2} e n x^{3} + 35 \, b d^{3} n x\right)} \log\left(x\right)"," ",0,"-1/49*(b*e^3*n - 7*a*e^3)*x^7 - 3/25*(b*d*e^2*n - 5*a*d*e^2)*x^5 - 1/3*(b*d^2*e*n - 3*a*d^2*e)*x^3 - (b*d^3*n - a*d^3)*x + 1/35*(5*b*e^3*x^7 + 21*b*d*e^2*x^5 + 35*b*d^2*e*x^3 + 35*b*d^3*x)*log(c) + 1/35*(5*b*e^3*n*x^7 + 21*b*d*e^2*n*x^5 + 35*b*d^2*e*n*x^3 + 35*b*d^3*n*x)*log(x)","A",0
205,1,159,0,0.770395," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","-\frac{3 \, {\left(b e^{3} n - 5 \, a e^{3}\right)} x^{6} + 75 \, b d^{3} n + 25 \, {\left(b d e^{2} n - 3 \, a d e^{2}\right)} x^{4} + 75 \, a d^{3} + 225 \, {\left(b d^{2} e n - a d^{2} e\right)} x^{2} - 15 \, {\left(b e^{3} x^{6} + 5 \, b d e^{2} x^{4} + 15 \, b d^{2} e x^{2} - 5 \, b d^{3}\right)} \log\left(c\right) - 15 \, {\left(b e^{3} n x^{6} + 5 \, b d e^{2} n x^{4} + 15 \, b d^{2} e n x^{2} - 5 \, b d^{3} n\right)} \log\left(x\right)}{75 \, x}"," ",0,"-1/75*(3*(b*e^3*n - 5*a*e^3)*x^6 + 75*b*d^3*n + 25*(b*d*e^2*n - 3*a*d*e^2)*x^4 + 75*a*d^3 + 225*(b*d^2*e*n - a*d^2*e)*x^2 - 15*(b*e^3*x^6 + 5*b*d*e^2*x^4 + 15*b*d^2*e*x^2 - 5*b*d^3)*log(c) - 15*(b*e^3*n*x^6 + 5*b*d*e^2*n*x^4 + 15*b*d^2*e*n*x^2 - 5*b*d^3*n)*log(x))/x","A",0
206,1,156,0,0.998763," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^4,x, algorithm=""fricas"")","-\frac{{\left(b e^{3} n - 3 \, a e^{3}\right)} x^{6} + b d^{3} n + 27 \, {\left(b d e^{2} n - a d e^{2}\right)} x^{4} + 3 \, a d^{3} + 27 \, {\left(b d^{2} e n + a d^{2} e\right)} x^{2} - 3 \, {\left(b e^{3} x^{6} + 9 \, b d e^{2} x^{4} - 9 \, b d^{2} e x^{2} - b d^{3}\right)} \log\left(c\right) - 3 \, {\left(b e^{3} n x^{6} + 9 \, b d e^{2} n x^{4} - 9 \, b d^{2} e n x^{2} - b d^{3} n\right)} \log\left(x\right)}{9 \, x^{3}}"," ",0,"-1/9*((b*e^3*n - 3*a*e^3)*x^6 + b*d^3*n + 27*(b*d*e^2*n - a*d*e^2)*x^4 + 3*a*d^3 + 27*(b*d^2*e*n + a*d^2*e)*x^2 - 3*(b*e^3*x^6 + 9*b*d*e^2*x^4 - 9*b*d^2*e*x^2 - b*d^3)*log(c) - 3*(b*e^3*n*x^6 + 9*b*d*e^2*n*x^4 - 9*b*d^2*e*n*x^2 - b*d^3*n)*log(x))/x^3","A",0
207,1,160,0,0.709239," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^6,x, algorithm=""fricas"")","-\frac{75 \, {\left(b e^{3} n - a e^{3}\right)} x^{6} + 3 \, b d^{3} n + 225 \, {\left(b d e^{2} n + a d e^{2}\right)} x^{4} + 15 \, a d^{3} + 25 \, {\left(b d^{2} e n + 3 \, a d^{2} e\right)} x^{2} - 15 \, {\left(5 \, b e^{3} x^{6} - 15 \, b d e^{2} x^{4} - 5 \, b d^{2} e x^{2} - b d^{3}\right)} \log\left(c\right) - 15 \, {\left(5 \, b e^{3} n x^{6} - 15 \, b d e^{2} n x^{4} - 5 \, b d^{2} e n x^{2} - b d^{3} n\right)} \log\left(x\right)}{75 \, x^{5}}"," ",0,"-1/75*(75*(b*e^3*n - a*e^3)*x^6 + 3*b*d^3*n + 225*(b*d*e^2*n + a*d*e^2)*x^4 + 15*a*d^3 + 25*(b*d^2*e*n + 3*a*d^2*e)*x^2 - 15*(5*b*e^3*x^6 - 15*b*d*e^2*x^4 - 5*b*d^2*e*x^2 - b*d^3)*log(c) - 15*(5*b*e^3*n*x^6 - 15*b*d*e^2*n*x^4 - 5*b*d^2*e*n*x^2 - b*d^3*n)*log(x))/x^5","A",0
208,1,160,0,0.594558," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^8,x, algorithm=""fricas"")","-\frac{3675 \, {\left(b e^{3} n + a e^{3}\right)} x^{6} + 75 \, b d^{3} n + 1225 \, {\left(b d e^{2} n + 3 \, a d e^{2}\right)} x^{4} + 525 \, a d^{3} + 441 \, {\left(b d^{2} e n + 5 \, a d^{2} e\right)} x^{2} + 105 \, {\left(35 \, b e^{3} x^{6} + 35 \, b d e^{2} x^{4} + 21 \, b d^{2} e x^{2} + 5 \, b d^{3}\right)} \log\left(c\right) + 105 \, {\left(35 \, b e^{3} n x^{6} + 35 \, b d e^{2} n x^{4} + 21 \, b d^{2} e n x^{2} + 5 \, b d^{3} n\right)} \log\left(x\right)}{3675 \, x^{7}}"," ",0,"-1/3675*(3675*(b*e^3*n + a*e^3)*x^6 + 75*b*d^3*n + 1225*(b*d*e^2*n + 3*a*d*e^2)*x^4 + 525*a*d^3 + 441*(b*d^2*e*n + 5*a*d^2*e)*x^2 + 105*(35*b*e^3*x^6 + 35*b*d*e^2*x^4 + 21*b*d^2*e*x^2 + 5*b*d^3)*log(c) + 105*(35*b*e^3*n*x^6 + 35*b*d*e^2*n*x^4 + 21*b*d^2*e*n*x^2 + 5*b*d^3*n)*log(x))/x^7","A",0
209,1,161,0,0.892638," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^10,x, algorithm=""fricas"")","-\frac{11025 \, {\left(b e^{3} n + 3 \, a e^{3}\right)} x^{6} + 1225 \, b d^{3} n + 11907 \, {\left(b d e^{2} n + 5 \, a d e^{2}\right)} x^{4} + 11025 \, a d^{3} + 6075 \, {\left(b d^{2} e n + 7 \, a d^{2} e\right)} x^{2} + 315 \, {\left(105 \, b e^{3} x^{6} + 189 \, b d e^{2} x^{4} + 135 \, b d^{2} e x^{2} + 35 \, b d^{3}\right)} \log\left(c\right) + 315 \, {\left(105 \, b e^{3} n x^{6} + 189 \, b d e^{2} n x^{4} + 135 \, b d^{2} e n x^{2} + 35 \, b d^{3} n\right)} \log\left(x\right)}{99225 \, x^{9}}"," ",0,"-1/99225*(11025*(b*e^3*n + 3*a*e^3)*x^6 + 1225*b*d^3*n + 11907*(b*d*e^2*n + 5*a*d*e^2)*x^4 + 11025*a*d^3 + 6075*(b*d^2*e*n + 7*a*d^2*e)*x^2 + 315*(105*b*e^3*x^6 + 189*b*d*e^2*x^4 + 135*b*d^2*e*x^2 + 35*b*d^3)*log(c) + 315*(105*b*e^3*n*x^6 + 189*b*d*e^2*n*x^4 + 135*b*d^2*e*n*x^2 + 35*b*d^3*n)*log(x))/x^9","A",0
210,0,0,0,0.919764," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{5} \log\left(c x^{n}\right) + a x^{5}}{e x^{2} + d}, x\right)"," ",0,"integral((b*x^5*log(c*x^n) + a*x^5)/(e*x^2 + d), x)","F",0
211,0,0,0,0.611417," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left(c x^{n}\right) + a x^{3}}{e x^{2} + d}, x\right)"," ",0,"integral((b*x^3*log(c*x^n) + a*x^3)/(e*x^2 + d), x)","F",0
212,0,0,0,0.703255," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x \log\left(c x^{n}\right) + a x}{e x^{2} + d}, x\right)"," ",0,"integral((b*x*log(c*x^n) + a*x)/(e*x^2 + d), x)","F",0
213,0,0,0,0.620735," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x^{3} + d x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x^3 + d*x), x)","F",0
214,0,0,0,0.692457," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x^{5} + d x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x^5 + d*x^3), x)","F",0
215,0,0,0,0.523007," ","integrate((a+b*log(c*x^n))/x^5/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x^{7} + d x^{5}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x^7 + d*x^5), x)","F",0
216,0,0,0,0.717794," ","integrate(x^4*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \log\left(c x^{n}\right) + a x^{4}}{e x^{2} + d}, x\right)"," ",0,"integral((b*x^4*log(c*x^n) + a*x^4)/(e*x^2 + d), x)","F",0
217,0,0,0,0.682417," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left(c x^{n}\right) + a x^{2}}{e x^{2} + d}, x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)/(e*x^2 + d), x)","F",0
218,0,0,0,0.545393," ","integrate((a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x^{2} + d}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x^2 + d), x)","F",0
219,0,0,0,0.613186," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x^{4} + d x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x^4 + d*x^2), x)","F",0
220,0,0,0,0.815563," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x^{6} + d x^{4}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x^6 + d*x^4), x)","F",0
221,0,0,0,0.759544," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{5} \log\left(c x^{n}\right) + a x^{5}}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((b*x^5*log(c*x^n) + a*x^5)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
222,0,0,0,0.520060," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left(c x^{n}\right) + a x^{3}}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((b*x^3*log(c*x^n) + a*x^3)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
223,1,61,0,0.668054," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""fricas"")","\frac{2 \, b e n x^{2} \log\left(x\right) - 2 \, b d \log\left(c\right) - 2 \, a d - {\left(b e n x^{2} + b d n\right)} \log\left(e x^{2} + d\right)}{4 \, {\left(d e^{2} x^{2} + d^{2} e\right)}}"," ",0,"1/4*(2*b*e*n*x^2*log(x) - 2*b*d*log(c) - 2*a*d - (b*e*n*x^2 + b*d*n)*log(e*x^2 + d))/(d*e^2*x^2 + d^2*e)","A",0
224,0,0,0,0.534651," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{2} x^{5} + 2 \, d e x^{3} + d^{2} x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^2*x^5 + 2*d*e*x^3 + d^2*x), x)","F",0
225,0,0,0,0.595063," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{2} x^{7} + 2 \, d e x^{5} + d^{2} x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^2*x^7 + 2*d*e*x^5 + d^2*x^3), x)","F",0
226,0,0,0,0.523448," ","integrate(x^4*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \log\left(c x^{n}\right) + a x^{4}}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((b*x^4*log(c*x^n) + a*x^4)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
227,0,0,0,0.837799," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left(c x^{n}\right) + a x^{2}}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
228,0,0,0,1.306266," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
229,0,0,0,0.635720," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{2} x^{6} + 2 \, d e x^{4} + d^{2} x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^2*x^6 + 2*d*e*x^4 + d^2*x^2), x)","F",0
230,0,0,0,0.690528," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{2} x^{8} + 2 \, d e x^{6} + d^{2} x^{4}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^2*x^8 + 2*d*e*x^6 + d^2*x^4), x)","F",0
231,0,0,0,0.606397," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{5} \log\left(c x^{n}\right) + a x^{5}}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}, x\right)"," ",0,"integral((b*x^5*log(c*x^n) + a*x^5)/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
232,1,126,0,0.706474," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""fricas"")","\frac{2 \, b e^{2} n x^{4} \log\left(x\right) - b d^{2} n - 2 \, a d^{2} - {\left(b d e n + 4 \, a d e\right)} x^{2} - {\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \log\left(e x^{2} + d\right) - 2 \, {\left(2 \, b d e x^{2} + b d^{2}\right)} \log\left(c\right)}{8 \, {\left(d e^{4} x^{4} + 2 \, d^{2} e^{3} x^{2} + d^{3} e^{2}\right)}}"," ",0,"1/8*(2*b*e^2*n*x^4*log(x) - b*d^2*n - 2*a*d^2 - (b*d*e*n + 4*a*d*e)*x^2 - (b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*log(e*x^2 + d) - 2*(2*b*d*e*x^2 + b*d^2)*log(c))/(d*e^4*x^4 + 2*d^2*e^3*x^2 + d^3*e^2)","B",0
233,1,118,0,0.536896," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""fricas"")","\frac{b d e n x^{2} + b d^{2} n - 2 \, b d^{2} \log\left(c\right) - 2 \, a d^{2} - {\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \log\left(e x^{2} + d\right) + 2 \, {\left(b e^{2} n x^{4} + 2 \, b d e n x^{2}\right)} \log\left(x\right)}{8 \, {\left(d^{2} e^{3} x^{4} + 2 \, d^{3} e^{2} x^{2} + d^{4} e\right)}}"," ",0,"1/8*(b*d*e*n*x^2 + b*d^2*n - 2*b*d^2*log(c) - 2*a*d^2 - (b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*log(e*x^2 + d) + 2*(b*e^2*n*x^4 + 2*b*d*e*n*x^2)*log(x))/(d^2*e^3*x^4 + 2*d^3*e^2*x^2 + d^4*e)","A",0
234,0,0,0,0.946877," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{3} x^{7} + 3 \, d e^{2} x^{5} + 3 \, d^{2} e x^{3} + d^{3} x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^3*x^7 + 3*d*e^2*x^5 + 3*d^2*e*x^3 + d^3*x), x)","F",0
235,0,0,0,0.979995," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{3} x^{9} + 3 \, d e^{2} x^{7} + 3 \, d^{2} e x^{5} + d^{3} x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^3*x^9 + 3*d*e^2*x^7 + 3*d^2*e*x^5 + d^3*x^3), x)","F",0
236,0,0,0,0.930336," ","integrate(x^4*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \log\left(c x^{n}\right) + a x^{4}}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}, x\right)"," ",0,"integral((b*x^4*log(c*x^n) + a*x^4)/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
237,0,0,0,0.946012," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left(c x^{n}\right) + a x^{2}}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}, x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
238,0,0,0,0.899858," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
239,0,0,0,0.659876," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{3} x^{8} + 3 \, d e^{2} x^{6} + 3 \, d^{2} e x^{4} + d^{3} x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^3*x^8 + 3*d*e^2*x^6 + 3*d^2*e*x^4 + d^3*x^2), x)","F",0
240,0,0,0,0.717848," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{3} x^{10} + 3 \, d e^{2} x^{8} + 3 \, d^{2} e x^{6} + d^{3} x^{4}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^3*x^10 + 3*d*e^2*x^8 + 3*d^2*e*x^6 + d^3*x^4), x)","F",0
241,1,14,0,0.655394," ","integrate(x*log(c*x^2)/(-c*x^2+1),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-c x^{2} + 1\right)}{2 \, c}"," ",0,"1/2*dilog(-c*x^2 + 1)/c","A",0
242,1,13,0,0.836762," ","integrate(x*log(x^2/c)/(-x^2+c),x, algorithm=""fricas"")","\frac{1}{2} \, {\rm Li}_2\left(-\frac{x^{2}}{c} + 1\right)"," ",0,"1/2*dilog(-x^2/c + 1)","A",0
243,0,0,0,0.728290," ","integrate(log(x)/(-x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\log\left(x\right)}{x^{2} - 1}, x\right)"," ",0,"integral(-log(x)/(x^2 - 1), x)","F",0
244,0,0,0,0.787913," ","integrate(log(x)/(x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\log\left(x\right)}{x^{2} + 1}, x\right)"," ",0,"integral(log(x)/(x^2 + 1), x)","F",0
245,0,0,0,0.548858," ","integrate((a+b*log(c*x))/(-e*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \log\left(c x\right) + a}{e x^{2} - 1}, x\right)"," ",0,"integral(-(b*log(c*x) + a)/(e*x^2 - 1), x)","F",0
246,0,0,0,0.600708," ","integrate((a+b*log(c*x^n))/(-e*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \log\left(c x^{n}\right) + a}{e x^{2} - 1}, x\right)"," ",0,"integral(-(b*log(c*x^n) + a)/(e*x^2 - 1), x)","F",0
247,0,0,0,0.666503," ","integrate((a+b*log(c*x^n))^2/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
248,0,0,0,0.634280," ","integrate((a+b*log(c*x^n))^3/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{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}}{e^{2} x^{4} + 2 \, d e x^{2} + d^{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)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
249,0,0,0,0.497157," ","integrate(1/(e*x^2+d)^2/(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a e^{2} x^{4} + 2 \, a d e x^{2} + a d^{2} + {\left(b e^{2} x^{4} + 2 \, b d e x^{2} + b d^{2}\right)} \log\left(c x^{n}\right)}, x\right)"," ",0,"integral(1/(a*e^2*x^4 + 2*a*d*e*x^2 + a*d^2 + (b*e^2*x^4 + 2*b*d*e*x^2 + b*d^2)*log(c*x^n)), x)","F",0
250,0,0,0,0.986117," ","integrate(1/(e*x^2+d)^2/(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} e^{2} x^{4} + 2 \, a^{2} d e x^{2} + a^{2} d^{2} + {\left(b^{2} e^{2} x^{4} + 2 \, b^{2} d e x^{2} + b^{2} d^{2}\right)} \log\left(c x^{n}\right)^{2} + 2 \, {\left(a b e^{2} x^{4} + 2 \, a b d e x^{2} + a b d^{2}\right)} \log\left(c x^{n}\right)}, x\right)"," ",0,"integral(1/(a^2*e^2*x^4 + 2*a^2*d*e*x^2 + a^2*d^2 + (b^2*e^2*x^4 + 2*b^2*d*e*x^2 + b^2*d^2)*log(c*x^n)^2 + 2*(a*b*e^2*x^4 + 2*a*b*d*e*x^2 + a*b*d^2)*log(c*x^n)), x)","F",0
251,1,414,0,0.938251," ","integrate(x^5*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{420 \, b d^{\frac{7}{2}} n \log\left(-\frac{e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - {\left(225 \, {\left(b e^{3} n - 7 \, a e^{3}\right)} x^{6} + 778 \, b d^{3} n + 9 \, {\left(12 \, b d e^{2} n - 35 \, a d e^{2}\right)} x^{4} - 840 \, a d^{3} - {\left(179 \, b d^{2} e n - 420 \, a d^{2} e\right)} x^{2} - 105 \, {\left(15 \, b e^{3} x^{6} + 3 \, b d e^{2} x^{4} - 4 \, b d^{2} e x^{2} + 8 \, b d^{3}\right)} \log\left(c\right) - 105 \, {\left(15 \, b e^{3} n x^{6} + 3 \, b d e^{2} n x^{4} - 4 \, b d^{2} e n x^{2} + 8 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{11025 \, e^{3}}, -\frac{840 \, b \sqrt{-d} d^{3} n \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) + {\left(225 \, {\left(b e^{3} n - 7 \, a e^{3}\right)} x^{6} + 778 \, b d^{3} n + 9 \, {\left(12 \, b d e^{2} n - 35 \, a d e^{2}\right)} x^{4} - 840 \, a d^{3} - {\left(179 \, b d^{2} e n - 420 \, a d^{2} e\right)} x^{2} - 105 \, {\left(15 \, b e^{3} x^{6} + 3 \, b d e^{2} x^{4} - 4 \, b d^{2} e x^{2} + 8 \, b d^{3}\right)} \log\left(c\right) - 105 \, {\left(15 \, b e^{3} n x^{6} + 3 \, b d e^{2} n x^{4} - 4 \, b d^{2} e n x^{2} + 8 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{11025 \, e^{3}}\right]"," ",0,"[1/11025*(420*b*d^(7/2)*n*log(-(e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - (225*(b*e^3*n - 7*a*e^3)*x^6 + 778*b*d^3*n + 9*(12*b*d*e^2*n - 35*a*d*e^2)*x^4 - 840*a*d^3 - (179*b*d^2*e*n - 420*a*d^2*e)*x^2 - 105*(15*b*e^3*x^6 + 3*b*d*e^2*x^4 - 4*b*d^2*e*x^2 + 8*b*d^3)*log(c) - 105*(15*b*e^3*n*x^6 + 3*b*d*e^2*n*x^4 - 4*b*d^2*e*n*x^2 + 8*b*d^3*n)*log(x))*sqrt(e*x^2 + d))/e^3, -1/11025*(840*b*sqrt(-d)*d^3*n*arctan(sqrt(-d)/sqrt(e*x^2 + d)) + (225*(b*e^3*n - 7*a*e^3)*x^6 + 778*b*d^3*n + 9*(12*b*d*e^2*n - 35*a*d*e^2)*x^4 - 840*a*d^3 - (179*b*d^2*e*n - 420*a*d^2*e)*x^2 - 105*(15*b*e^3*x^6 + 3*b*d*e^2*x^4 - 4*b*d^2*e*x^2 + 8*b*d^3)*log(c) - 105*(15*b*e^3*n*x^6 + 3*b*d*e^2*n*x^4 - 4*b*d^2*e*n*x^2 + 8*b*d^3*n)*log(x))*sqrt(e*x^2 + d))/e^3]","A",0
252,1,309,0,0.852473," ","integrate(x^3*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, b d^{\frac{5}{2}} n \log\left(-\frac{e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - {\left(9 \, {\left(b e^{2} n - 5 \, a e^{2}\right)} x^{4} - 31 \, b d^{2} n + 30 \, a d^{2} + {\left(8 \, b d e n - 15 \, a d e\right)} x^{2} - 15 \, {\left(3 \, b e^{2} x^{4} + b d e x^{2} - 2 \, b d^{2}\right)} \log\left(c\right) - 15 \, {\left(3 \, b e^{2} n x^{4} + b d e n x^{2} - 2 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{225 \, e^{2}}, \frac{30 \, b \sqrt{-d} d^{2} n \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) - {\left(9 \, {\left(b e^{2} n - 5 \, a e^{2}\right)} x^{4} - 31 \, b d^{2} n + 30 \, a d^{2} + {\left(8 \, b d e n - 15 \, a d e\right)} x^{2} - 15 \, {\left(3 \, b e^{2} x^{4} + b d e x^{2} - 2 \, b d^{2}\right)} \log\left(c\right) - 15 \, {\left(3 \, b e^{2} n x^{4} + b d e n x^{2} - 2 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{225 \, e^{2}}\right]"," ",0,"[1/225*(15*b*d^(5/2)*n*log(-(e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - (9*(b*e^2*n - 5*a*e^2)*x^4 - 31*b*d^2*n + 30*a*d^2 + (8*b*d*e*n - 15*a*d*e)*x^2 - 15*(3*b*e^2*x^4 + b*d*e*x^2 - 2*b*d^2)*log(c) - 15*(3*b*e^2*n*x^4 + b*d*e*n*x^2 - 2*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/e^2, 1/225*(30*b*sqrt(-d)*d^2*n*arctan(sqrt(-d)/sqrt(e*x^2 + d)) - (9*(b*e^2*n - 5*a*e^2)*x^4 - 31*b*d^2*n + 30*a*d^2 + (8*b*d*e*n - 15*a*d*e)*x^2 - 15*(3*b*e^2*x^4 + b*d*e*x^2 - 2*b*d^2)*log(c) - 15*(3*b*e^2*n*x^4 + b*d*e*n*x^2 - 2*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/e^2]","A",0
253,1,202,0,0.867502," ","integrate(x*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, b d^{\frac{3}{2}} n \log\left(-\frac{e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - 2 \, {\left(4 \, b d n + {\left(b e n - 3 \, a e\right)} x^{2} - 3 \, a d - 3 \, {\left(b e x^{2} + b d\right)} \log\left(c\right) - 3 \, {\left(b e n x^{2} + b d n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{18 \, e}, -\frac{3 \, b \sqrt{-d} d n \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) + {\left(4 \, b d n + {\left(b e n - 3 \, a e\right)} x^{2} - 3 \, a d - 3 \, {\left(b e x^{2} + b d\right)} \log\left(c\right) - 3 \, {\left(b e n x^{2} + b d n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, e}\right]"," ",0,"[1/18*(3*b*d^(3/2)*n*log(-(e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - 2*(4*b*d*n + (b*e*n - 3*a*e)*x^2 - 3*a*d - 3*(b*e*x^2 + b*d)*log(c) - 3*(b*e*n*x^2 + b*d*n)*log(x))*sqrt(e*x^2 + d))/e, -1/9*(3*b*sqrt(-d)*d*n*arctan(sqrt(-d)/sqrt(e*x^2 + d)) + (4*b*d*n + (b*e*n - 3*a*e)*x^2 - 3*a*d - 3*(b*e*x^2 + b*d)*log(c) - 3*(b*e*n*x^2 + b*d*n)*log(x))*sqrt(e*x^2 + d))/e]","A",0
254,0,0,0,0.604273," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a}{x}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*log(c*x^n) + sqrt(e*x^2 + d)*a)/x, x)","F",0
255,0,0,0,0.651513," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a}{x^{3}}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*log(c*x^n) + sqrt(e*x^2 + d)*a)/x^3, x)","F",0
256,0,0,0,0.651638," ","integrate(x^4*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{e x^{2} + d} b x^{4} \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a x^{4}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)*b*x^4*log(c*x^n) + sqrt(e*x^2 + d)*a*x^4, x)","F",0
257,0,0,0,0.736368," ","integrate(x^2*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{e x^{2} + d} b x^{2} \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a x^{2}, x\right)"," ",0,"integral(sqrt(e*x^2 + d)*b*x^2*log(c*x^n) + sqrt(e*x^2 + d)*a*x^2, x)","F",0
258,0,0,0,0.882776," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{e x^{2} + d} b \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a, x\right)"," ",0,"integral(sqrt(e*x^2 + d)*b*log(c*x^n) + sqrt(e*x^2 + d)*a, x)","F",0
259,0,0,0,0.708344," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a}{x^{2}}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*log(c*x^n) + sqrt(e*x^2 + d)*a)/x^2, x)","F",0
260,1,212,0,0.751985," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^4,x, algorithm=""fricas"")","\left[\frac{3 \, b e^{\frac{3}{2}} n x^{3} \log\left(-2 \, e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) - 2 \, {\left(b d n + {\left(4 \, b e n + 3 \, a e\right)} x^{2} + 3 \, a d + 3 \, {\left(b e x^{2} + b d\right)} \log\left(c\right) + 3 \, {\left(b e n x^{2} + b d n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{18 \, d x^{3}}, -\frac{3 \, b \sqrt{-e} e n x^{3} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left(b d n + {\left(4 \, b e n + 3 \, a e\right)} x^{2} + 3 \, a d + 3 \, {\left(b e x^{2} + b d\right)} \log\left(c\right) + 3 \, {\left(b e n x^{2} + b d n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, d x^{3}}\right]"," ",0,"[1/18*(3*b*e^(3/2)*n*x^3*log(-2*e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) - 2*(b*d*n + (4*b*e*n + 3*a*e)*x^2 + 3*a*d + 3*(b*e*x^2 + b*d)*log(c) + 3*(b*e*n*x^2 + b*d*n)*log(x))*sqrt(e*x^2 + d))/(d*x^3), -1/9*(3*b*sqrt(-e)*e*n*x^3*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + (b*d*n + (4*b*e*n + 3*a*e)*x^2 + 3*a*d + 3*(b*e*x^2 + b*d)*log(c) + 3*(b*e*n*x^2 + b*d*n)*log(x))*sqrt(e*x^2 + d))/(d*x^3)]","A",0
261,1,323,0,0.862763," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^6,x, algorithm=""fricas"")","\left[\frac{15 \, b e^{\frac{5}{2}} n x^{5} \log\left(-2 \, e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) + {\left({\left(31 \, b e^{2} n + 30 \, a e^{2}\right)} x^{4} - 9 \, b d^{2} n - 45 \, a d^{2} - {\left(8 \, b d e n + 15 \, a d e\right)} x^{2} + 15 \, {\left(2 \, b e^{2} x^{4} - b d e x^{2} - 3 \, b d^{2}\right)} \log\left(c\right) + 15 \, {\left(2 \, b e^{2} n x^{4} - b d e n x^{2} - 3 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{225 \, d^{2} x^{5}}, \frac{30 \, b \sqrt{-e} e^{2} n x^{5} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left({\left(31 \, b e^{2} n + 30 \, a e^{2}\right)} x^{4} - 9 \, b d^{2} n - 45 \, a d^{2} - {\left(8 \, b d e n + 15 \, a d e\right)} x^{2} + 15 \, {\left(2 \, b e^{2} x^{4} - b d e x^{2} - 3 \, b d^{2}\right)} \log\left(c\right) + 15 \, {\left(2 \, b e^{2} n x^{4} - b d e n x^{2} - 3 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{225 \, d^{2} x^{5}}\right]"," ",0,"[1/225*(15*b*e^(5/2)*n*x^5*log(-2*e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) + ((31*b*e^2*n + 30*a*e^2)*x^4 - 9*b*d^2*n - 45*a*d^2 - (8*b*d*e*n + 15*a*d*e)*x^2 + 15*(2*b*e^2*x^4 - b*d*e*x^2 - 3*b*d^2)*log(c) + 15*(2*b*e^2*n*x^4 - b*d*e*n*x^2 - 3*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(d^2*x^5), 1/225*(30*b*sqrt(-e)*e^2*n*x^5*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + ((31*b*e^2*n + 30*a*e^2)*x^4 - 9*b*d^2*n - 45*a*d^2 - (8*b*d*e*n + 15*a*d*e)*x^2 + 15*(2*b*e^2*x^4 - b*d*e*x^2 - 3*b*d^2)*log(c) + 15*(2*b*e^2*n*x^4 - b*d*e*n*x^2 - 3*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(d^2*x^5)]","A",0
262,1,426,0,1.051646," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^8,x, algorithm=""fricas"")","\left[\frac{420 \, b e^{\frac{7}{2}} n x^{7} \log\left(-2 \, e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) - {\left(2 \, {\left(389 \, b e^{3} n + 420 \, a e^{3}\right)} x^{6} + 225 \, b d^{3} n - {\left(179 \, b d e^{2} n + 420 \, a d e^{2}\right)} x^{4} + 1575 \, a d^{3} + 9 \, {\left(12 \, b d^{2} e n + 35 \, a d^{2} e\right)} x^{2} + 105 \, {\left(8 \, b e^{3} x^{6} - 4 \, b d e^{2} x^{4} + 3 \, b d^{2} e x^{2} + 15 \, b d^{3}\right)} \log\left(c\right) + 105 \, {\left(8 \, b e^{3} n x^{6} - 4 \, b d e^{2} n x^{4} + 3 \, b d^{2} e n x^{2} + 15 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{11025 \, d^{3} x^{7}}, -\frac{840 \, b \sqrt{-e} e^{3} n x^{7} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left(2 \, {\left(389 \, b e^{3} n + 420 \, a e^{3}\right)} x^{6} + 225 \, b d^{3} n - {\left(179 \, b d e^{2} n + 420 \, a d e^{2}\right)} x^{4} + 1575 \, a d^{3} + 9 \, {\left(12 \, b d^{2} e n + 35 \, a d^{2} e\right)} x^{2} + 105 \, {\left(8 \, b e^{3} x^{6} - 4 \, b d e^{2} x^{4} + 3 \, b d^{2} e x^{2} + 15 \, b d^{3}\right)} \log\left(c\right) + 105 \, {\left(8 \, b e^{3} n x^{6} - 4 \, b d e^{2} n x^{4} + 3 \, b d^{2} e n x^{2} + 15 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{11025 \, d^{3} x^{7}}\right]"," ",0,"[1/11025*(420*b*e^(7/2)*n*x^7*log(-2*e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) - (2*(389*b*e^3*n + 420*a*e^3)*x^6 + 225*b*d^3*n - (179*b*d*e^2*n + 420*a*d*e^2)*x^4 + 1575*a*d^3 + 9*(12*b*d^2*e*n + 35*a*d^2*e)*x^2 + 105*(8*b*e^3*x^6 - 4*b*d*e^2*x^4 + 3*b*d^2*e*x^2 + 15*b*d^3)*log(c) + 105*(8*b*e^3*n*x^6 - 4*b*d*e^2*n*x^4 + 3*b*d^2*e*n*x^2 + 15*b*d^3*n)*log(x))*sqrt(e*x^2 + d))/(d^3*x^7), -1/11025*(840*b*sqrt(-e)*e^3*n*x^7*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + (2*(389*b*e^3*n + 420*a*e^3)*x^6 + 225*b*d^3*n - (179*b*d*e^2*n + 420*a*d*e^2)*x^4 + 1575*a*d^3 + 9*(12*b*d^2*e*n + 35*a*d^2*e)*x^2 + 105*(8*b*e^3*x^6 - 4*b*d*e^2*x^4 + 3*b*d^2*e*x^2 + 15*b*d^3)*log(c) + 105*(8*b*e^3*n*x^6 - 4*b*d*e^2*n*x^4 + 3*b*d^2*e*n*x^2 + 15*b*d^3*n)*log(x))*sqrt(e*x^2 + d))/(d^3*x^7)]","A",0
263,1,514,0,0.946602," ","integrate(x^5*(e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\left[\frac{1260 \, b d^{\frac{9}{2}} n \log\left(-\frac{e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - {\left(1225 \, {\left(b e^{4} n - 9 \, a e^{4}\right)} x^{8} + 25 \, {\left(97 \, b d e^{3} n - 630 \, a d e^{3}\right)} x^{6} + 2614 \, b d^{4} n - 2520 \, a d^{4} + 3 \, {\left(143 \, b d^{2} e^{2} n - 315 \, a d^{2} e^{2}\right)} x^{4} - {\left(677 \, b d^{3} e n - 1260 \, a d^{3} e\right)} x^{2} - 315 \, {\left(35 \, b e^{4} x^{8} + 50 \, b d e^{3} x^{6} + 3 \, b d^{2} e^{2} x^{4} - 4 \, b d^{3} e x^{2} + 8 \, b d^{4}\right)} \log\left(c\right) - 315 \, {\left(35 \, b e^{4} n x^{8} + 50 \, b d e^{3} n x^{6} + 3 \, b d^{2} e^{2} n x^{4} - 4 \, b d^{3} e n x^{2} + 8 \, b d^{4} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{99225 \, e^{3}}, -\frac{2520 \, b \sqrt{-d} d^{4} n \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) + {\left(1225 \, {\left(b e^{4} n - 9 \, a e^{4}\right)} x^{8} + 25 \, {\left(97 \, b d e^{3} n - 630 \, a d e^{3}\right)} x^{6} + 2614 \, b d^{4} n - 2520 \, a d^{4} + 3 \, {\left(143 \, b d^{2} e^{2} n - 315 \, a d^{2} e^{2}\right)} x^{4} - {\left(677 \, b d^{3} e n - 1260 \, a d^{3} e\right)} x^{2} - 315 \, {\left(35 \, b e^{4} x^{8} + 50 \, b d e^{3} x^{6} + 3 \, b d^{2} e^{2} x^{4} - 4 \, b d^{3} e x^{2} + 8 \, b d^{4}\right)} \log\left(c\right) - 315 \, {\left(35 \, b e^{4} n x^{8} + 50 \, b d e^{3} n x^{6} + 3 \, b d^{2} e^{2} n x^{4} - 4 \, b d^{3} e n x^{2} + 8 \, b d^{4} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{99225 \, e^{3}}\right]"," ",0,"[1/99225*(1260*b*d^(9/2)*n*log(-(e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - (1225*(b*e^4*n - 9*a*e^4)*x^8 + 25*(97*b*d*e^3*n - 630*a*d*e^3)*x^6 + 2614*b*d^4*n - 2520*a*d^4 + 3*(143*b*d^2*e^2*n - 315*a*d^2*e^2)*x^4 - (677*b*d^3*e*n - 1260*a*d^3*e)*x^2 - 315*(35*b*e^4*x^8 + 50*b*d*e^3*x^6 + 3*b*d^2*e^2*x^4 - 4*b*d^3*e*x^2 + 8*b*d^4)*log(c) - 315*(35*b*e^4*n*x^8 + 50*b*d*e^3*n*x^6 + 3*b*d^2*e^2*n*x^4 - 4*b*d^3*e*n*x^2 + 8*b*d^4*n)*log(x))*sqrt(e*x^2 + d))/e^3, -1/99225*(2520*b*sqrt(-d)*d^4*n*arctan(sqrt(-d)/sqrt(e*x^2 + d)) + (1225*(b*e^4*n - 9*a*e^4)*x^8 + 25*(97*b*d*e^3*n - 630*a*d*e^3)*x^6 + 2614*b*d^4*n - 2520*a*d^4 + 3*(143*b*d^2*e^2*n - 315*a*d^2*e^2)*x^4 - (677*b*d^3*e*n - 1260*a*d^3*e)*x^2 - 315*(35*b*e^4*x^8 + 50*b*d*e^3*x^6 + 3*b*d^2*e^2*x^4 - 4*b*d^3*e*x^2 + 8*b*d^4)*log(c) - 315*(35*b*e^4*n*x^8 + 50*b*d*e^3*n*x^6 + 3*b*d^2*e^2*n*x^4 - 4*b*d^3*e*n*x^2 + 8*b*d^4*n)*log(x))*sqrt(e*x^2 + d))/e^3]","A",0
264,1,409,0,0.925328," ","integrate(x^3*(e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\left[\frac{105 \, b d^{\frac{7}{2}} n \log\left(-\frac{e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - {\left(75 \, {\left(b e^{3} n - 7 \, a e^{3}\right)} x^{6} - 247 \, b d^{3} n + 3 \, {\left(61 \, b d e^{2} n - 280 \, a d e^{2}\right)} x^{4} + 210 \, a d^{3} + {\left(71 \, b d^{2} e n - 105 \, a d^{2} e\right)} x^{2} - 105 \, {\left(5 \, b e^{3} x^{6} + 8 \, b d e^{2} x^{4} + b d^{2} e x^{2} - 2 \, b d^{3}\right)} \log\left(c\right) - 105 \, {\left(5 \, b e^{3} n x^{6} + 8 \, b d e^{2} n x^{4} + b d^{2} e n x^{2} - 2 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3675 \, e^{2}}, \frac{210 \, b \sqrt{-d} d^{3} n \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) - {\left(75 \, {\left(b e^{3} n - 7 \, a e^{3}\right)} x^{6} - 247 \, b d^{3} n + 3 \, {\left(61 \, b d e^{2} n - 280 \, a d e^{2}\right)} x^{4} + 210 \, a d^{3} + {\left(71 \, b d^{2} e n - 105 \, a d^{2} e\right)} x^{2} - 105 \, {\left(5 \, b e^{3} x^{6} + 8 \, b d e^{2} x^{4} + b d^{2} e x^{2} - 2 \, b d^{3}\right)} \log\left(c\right) - 105 \, {\left(5 \, b e^{3} n x^{6} + 8 \, b d e^{2} n x^{4} + b d^{2} e n x^{2} - 2 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3675 \, e^{2}}\right]"," ",0,"[1/3675*(105*b*d^(7/2)*n*log(-(e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - (75*(b*e^3*n - 7*a*e^3)*x^6 - 247*b*d^3*n + 3*(61*b*d*e^2*n - 280*a*d*e^2)*x^4 + 210*a*d^3 + (71*b*d^2*e*n - 105*a*d^2*e)*x^2 - 105*(5*b*e^3*x^6 + 8*b*d*e^2*x^4 + b*d^2*e*x^2 - 2*b*d^3)*log(c) - 105*(5*b*e^3*n*x^6 + 8*b*d*e^2*n*x^4 + b*d^2*e*n*x^2 - 2*b*d^3*n)*log(x))*sqrt(e*x^2 + d))/e^2, 1/3675*(210*b*sqrt(-d)*d^3*n*arctan(sqrt(-d)/sqrt(e*x^2 + d)) - (75*(b*e^3*n - 7*a*e^3)*x^6 - 247*b*d^3*n + 3*(61*b*d*e^2*n - 280*a*d*e^2)*x^4 + 210*a*d^3 + (71*b*d^2*e*n - 105*a*d^2*e)*x^2 - 105*(5*b*e^3*x^6 + 8*b*d*e^2*x^4 + b*d^2*e*x^2 - 2*b*d^3)*log(c) - 105*(5*b*e^3*n*x^6 + 8*b*d*e^2*n*x^4 + b*d^2*e*n*x^2 - 2*b*d^3*n)*log(x))*sqrt(e*x^2 + d))/e^2]","A",0
265,1,304,0,0.705027," ","integrate(x*(e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\left[\frac{15 \, b d^{\frac{5}{2}} n \log\left(-\frac{e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - 2 \, {\left(3 \, {\left(b e^{2} n - 5 \, a e^{2}\right)} x^{4} + 23 \, b d^{2} n - 15 \, a d^{2} + {\left(11 \, b d e n - 30 \, a d e\right)} x^{2} - 15 \, {\left(b e^{2} x^{4} + 2 \, b d e x^{2} + b d^{2}\right)} \log\left(c\right) - 15 \, {\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{150 \, e}, -\frac{15 \, b \sqrt{-d} d^{2} n \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) + {\left(3 \, {\left(b e^{2} n - 5 \, a e^{2}\right)} x^{4} + 23 \, b d^{2} n - 15 \, a d^{2} + {\left(11 \, b d e n - 30 \, a d e\right)} x^{2} - 15 \, {\left(b e^{2} x^{4} + 2 \, b d e x^{2} + b d^{2}\right)} \log\left(c\right) - 15 \, {\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{75 \, e}\right]"," ",0,"[1/150*(15*b*d^(5/2)*n*log(-(e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - 2*(3*(b*e^2*n - 5*a*e^2)*x^4 + 23*b*d^2*n - 15*a*d^2 + (11*b*d*e*n - 30*a*d*e)*x^2 - 15*(b*e^2*x^4 + 2*b*d*e*x^2 + b*d^2)*log(c) - 15*(b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*log(x))*sqrt(e*x^2 + d))/e, -1/75*(15*b*sqrt(-d)*d^2*n*arctan(sqrt(-d)/sqrt(e*x^2 + d)) + (3*(b*e^2*n - 5*a*e^2)*x^4 + 23*b*d^2*n - 15*a*d^2 + (11*b*d*e*n - 30*a*d*e)*x^2 - 15*(b*e^2*x^4 + 2*b*d*e*x^2 + b*d^2)*log(c) - 15*(b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*log(x))*sqrt(e*x^2 + d))/e]","A",0
266,0,0,0,0.707281," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b e x^{2} + b d\right)} \sqrt{e x^{2} + d} \log\left(c x^{n}\right) + {\left(a e x^{2} + a d\right)} \sqrt{e x^{2} + d}}{x}, x\right)"," ",0,"integral(((b*e*x^2 + b*d)*sqrt(e*x^2 + d)*log(c*x^n) + (a*e*x^2 + a*d)*sqrt(e*x^2 + d))/x, x)","F",0
267,0,0,0,1.159994," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b e x^{2} + b d\right)} \sqrt{e x^{2} + d} \log\left(c x^{n}\right) + {\left(a e x^{2} + a d\right)} \sqrt{e x^{2} + d}}{x^{3}}, x\right)"," ",0,"integral(((b*e*x^2 + b*d)*sqrt(e*x^2 + d)*log(c*x^n) + (a*e*x^2 + a*d)*sqrt(e*x^2 + d))/x^3, x)","F",0
268,0,0,0,0.616907," ","integrate(x^2*(e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left({\left(b e x^{4} + b d x^{2}\right)} \sqrt{e x^{2} + d} \log\left(c x^{n}\right) + {\left(a e x^{4} + a d x^{2}\right)} \sqrt{e x^{2} + d}, x\right)"," ",0,"integral((b*e*x^4 + b*d*x^2)*sqrt(e*x^2 + d)*log(c*x^n) + (a*e*x^4 + a*d*x^2)*sqrt(e*x^2 + d), x)","F",0
269,0,0,0,0.735525," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left({\left(b e x^{2} + b d\right)} \sqrt{e x^{2} + d} \log\left(c x^{n}\right) + {\left(a e x^{2} + a d\right)} \sqrt{e x^{2} + d}, x\right)"," ",0,"integral((b*e*x^2 + b*d)*sqrt(e*x^2 + d)*log(c*x^n) + (a*e*x^2 + a*d)*sqrt(e*x^2 + d), x)","F",0
270,0,0,0,0.701674," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b e x^{2} + b d\right)} \sqrt{e x^{2} + d} \log\left(c x^{n}\right) + {\left(a e x^{2} + a d\right)} \sqrt{e x^{2} + d}}{x^{2}}, x\right)"," ",0,"integral(((b*e*x^2 + b*d)*sqrt(e*x^2 + d)*log(c*x^n) + (a*e*x^2 + a*d)*sqrt(e*x^2 + d))/x^2, x)","F",0
271,0,0,0,0.738782," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b e x^{2} + b d\right)} \sqrt{e x^{2} + d} \log\left(c x^{n}\right) + {\left(a e x^{2} + a d\right)} \sqrt{e x^{2} + d}}{x^{4}}, x\right)"," ",0,"integral(((b*e*x^2 + b*d)*sqrt(e*x^2 + d)*log(c*x^n) + (a*e*x^2 + a*d)*sqrt(e*x^2 + d))/x^4, x)","F",0
272,1,314,0,1.576846," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^6,x, algorithm=""fricas"")","\left[\frac{15 \, b e^{\frac{5}{2}} n x^{5} \log\left(-2 \, e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) - 2 \, {\left({\left(23 \, b e^{2} n + 15 \, a e^{2}\right)} x^{4} + 3 \, b d^{2} n + 15 \, a d^{2} + {\left(11 \, b d e n + 30 \, a d e\right)} x^{2} + 15 \, {\left(b e^{2} x^{4} + 2 \, b d e x^{2} + b d^{2}\right)} \log\left(c\right) + 15 \, {\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{150 \, d x^{5}}, -\frac{15 \, b \sqrt{-e} e^{2} n x^{5} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left({\left(23 \, b e^{2} n + 15 \, a e^{2}\right)} x^{4} + 3 \, b d^{2} n + 15 \, a d^{2} + {\left(11 \, b d e n + 30 \, a d e\right)} x^{2} + 15 \, {\left(b e^{2} x^{4} + 2 \, b d e x^{2} + b d^{2}\right)} \log\left(c\right) + 15 \, {\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{75 \, d x^{5}}\right]"," ",0,"[1/150*(15*b*e^(5/2)*n*x^5*log(-2*e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) - 2*((23*b*e^2*n + 15*a*e^2)*x^4 + 3*b*d^2*n + 15*a*d^2 + (11*b*d*e*n + 30*a*d*e)*x^2 + 15*(b*e^2*x^4 + 2*b*d*e*x^2 + b*d^2)*log(c) + 15*(b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(d*x^5), -1/75*(15*b*sqrt(-e)*e^2*n*x^5*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + ((23*b*e^2*n + 15*a*e^2)*x^4 + 3*b*d^2*n + 15*a*d^2 + (11*b*d*e*n + 30*a*d*e)*x^2 + 15*(b*e^2*x^4 + 2*b*d*e*x^2 + b*d^2)*log(c) + 15*(b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(d*x^5)]","A",0
273,1,423,0,0.886069," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^8,x, algorithm=""fricas"")","\left[\frac{105 \, b e^{\frac{7}{2}} n x^{7} \log\left(-2 \, e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) + {\left({\left(247 \, b e^{3} n + 210 \, a e^{3}\right)} x^{6} - 75 \, b d^{3} n - {\left(71 \, b d e^{2} n + 105 \, a d e^{2}\right)} x^{4} - 525 \, a d^{3} - 3 \, {\left(61 \, b d^{2} e n + 280 \, a d^{2} e\right)} x^{2} + 105 \, {\left(2 \, b e^{3} x^{6} - b d e^{2} x^{4} - 8 \, b d^{2} e x^{2} - 5 \, b d^{3}\right)} \log\left(c\right) + 105 \, {\left(2 \, b e^{3} n x^{6} - b d e^{2} n x^{4} - 8 \, b d^{2} e n x^{2} - 5 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3675 \, d^{2} x^{7}}, \frac{210 \, b \sqrt{-e} e^{3} n x^{7} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left({\left(247 \, b e^{3} n + 210 \, a e^{3}\right)} x^{6} - 75 \, b d^{3} n - {\left(71 \, b d e^{2} n + 105 \, a d e^{2}\right)} x^{4} - 525 \, a d^{3} - 3 \, {\left(61 \, b d^{2} e n + 280 \, a d^{2} e\right)} x^{2} + 105 \, {\left(2 \, b e^{3} x^{6} - b d e^{2} x^{4} - 8 \, b d^{2} e x^{2} - 5 \, b d^{3}\right)} \log\left(c\right) + 105 \, {\left(2 \, b e^{3} n x^{6} - b d e^{2} n x^{4} - 8 \, b d^{2} e n x^{2} - 5 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3675 \, d^{2} x^{7}}\right]"," ",0,"[1/3675*(105*b*e^(7/2)*n*x^7*log(-2*e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) + ((247*b*e^3*n + 210*a*e^3)*x^6 - 75*b*d^3*n - (71*b*d*e^2*n + 105*a*d*e^2)*x^4 - 525*a*d^3 - 3*(61*b*d^2*e*n + 280*a*d^2*e)*x^2 + 105*(2*b*e^3*x^6 - b*d*e^2*x^4 - 8*b*d^2*e*x^2 - 5*b*d^3)*log(c) + 105*(2*b*e^3*n*x^6 - b*d*e^2*n*x^4 - 8*b*d^2*e*n*x^2 - 5*b*d^3*n)*log(x))*sqrt(e*x^2 + d))/(d^2*x^7), 1/3675*(210*b*sqrt(-e)*e^3*n*x^7*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + ((247*b*e^3*n + 210*a*e^3)*x^6 - 75*b*d^3*n - (71*b*d*e^2*n + 105*a*d*e^2)*x^4 - 525*a*d^3 - 3*(61*b*d^2*e*n + 280*a*d^2*e)*x^2 + 105*(2*b*e^3*x^6 - b*d*e^2*x^4 - 8*b*d^2*e*x^2 - 5*b*d^3)*log(c) + 105*(2*b*e^3*n*x^6 - b*d*e^2*n*x^4 - 8*b*d^2*e*n*x^2 - 5*b*d^3*n)*log(x))*sqrt(e*x^2 + d))/(d^2*x^7)]","A",0
274,1,526,0,1.541104," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^10,x, algorithm=""fricas"")","\left[\frac{1260 \, b e^{\frac{9}{2}} n x^{9} \log\left(-2 \, e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) - {\left(2 \, {\left(1307 \, b e^{4} n + 1260 \, a e^{4}\right)} x^{8} - {\left(677 \, b d e^{3} n + 1260 \, a d e^{3}\right)} x^{6} + 1225 \, b d^{4} n + 11025 \, a d^{4} + 3 \, {\left(143 \, b d^{2} e^{2} n + 315 \, a d^{2} e^{2}\right)} x^{4} + 25 \, {\left(97 \, b d^{3} e n + 630 \, a d^{3} e\right)} x^{2} + 315 \, {\left(8 \, b e^{4} x^{8} - 4 \, b d e^{3} x^{6} + 3 \, b d^{2} e^{2} x^{4} + 50 \, b d^{3} e x^{2} + 35 \, b d^{4}\right)} \log\left(c\right) + 315 \, {\left(8 \, b e^{4} n x^{8} - 4 \, b d e^{3} n x^{6} + 3 \, b d^{2} e^{2} n x^{4} + 50 \, b d^{3} e n x^{2} + 35 \, b d^{4} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{99225 \, d^{3} x^{9}}, -\frac{2520 \, b \sqrt{-e} e^{4} n x^{9} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left(2 \, {\left(1307 \, b e^{4} n + 1260 \, a e^{4}\right)} x^{8} - {\left(677 \, b d e^{3} n + 1260 \, a d e^{3}\right)} x^{6} + 1225 \, b d^{4} n + 11025 \, a d^{4} + 3 \, {\left(143 \, b d^{2} e^{2} n + 315 \, a d^{2} e^{2}\right)} x^{4} + 25 \, {\left(97 \, b d^{3} e n + 630 \, a d^{3} e\right)} x^{2} + 315 \, {\left(8 \, b e^{4} x^{8} - 4 \, b d e^{3} x^{6} + 3 \, b d^{2} e^{2} x^{4} + 50 \, b d^{3} e x^{2} + 35 \, b d^{4}\right)} \log\left(c\right) + 315 \, {\left(8 \, b e^{4} n x^{8} - 4 \, b d e^{3} n x^{6} + 3 \, b d^{2} e^{2} n x^{4} + 50 \, b d^{3} e n x^{2} + 35 \, b d^{4} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{99225 \, d^{3} x^{9}}\right]"," ",0,"[1/99225*(1260*b*e^(9/2)*n*x^9*log(-2*e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) - (2*(1307*b*e^4*n + 1260*a*e^4)*x^8 - (677*b*d*e^3*n + 1260*a*d*e^3)*x^6 + 1225*b*d^4*n + 11025*a*d^4 + 3*(143*b*d^2*e^2*n + 315*a*d^2*e^2)*x^4 + 25*(97*b*d^3*e*n + 630*a*d^3*e)*x^2 + 315*(8*b*e^4*x^8 - 4*b*d*e^3*x^6 + 3*b*d^2*e^2*x^4 + 50*b*d^3*e*x^2 + 35*b*d^4)*log(c) + 315*(8*b*e^4*n*x^8 - 4*b*d*e^3*n*x^6 + 3*b*d^2*e^2*n*x^4 + 50*b*d^3*e*n*x^2 + 35*b*d^4*n)*log(x))*sqrt(e*x^2 + d))/(d^3*x^9), -1/99225*(2520*b*sqrt(-e)*e^4*n*x^9*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + (2*(1307*b*e^4*n + 1260*a*e^4)*x^8 - (677*b*d*e^3*n + 1260*a*d*e^3)*x^6 + 1225*b*d^4*n + 11025*a*d^4 + 3*(143*b*d^2*e^2*n + 315*a*d^2*e^2)*x^4 + 25*(97*b*d^3*e*n + 630*a*d^3*e)*x^2 + 315*(8*b*e^4*x^8 - 4*b*d*e^3*x^6 + 3*b*d^2*e^2*x^4 + 50*b*d^3*e*x^2 + 35*b*d^4)*log(c) + 315*(8*b*e^4*n*x^8 - 4*b*d*e^3*n*x^6 + 3*b*d^2*e^2*n*x^4 + 50*b*d^3*e*n*x^2 + 35*b*d^4*n)*log(x))*sqrt(e*x^2 + d))/(d^3*x^9)]","A",0
275,1,54,0,1.445348," ","integrate(x*log(x)*(x^2+4)^(1/2),x, algorithm=""fricas"")","-\frac{1}{9} \, {\left(x^{2} - 3 \, {\left(x^{2} + 4\right)} \log\left(x\right) + 16\right)} \sqrt{x^{2} + 4} + \frac{8}{3} \, \log\left(-x + \sqrt{x^{2} + 4} + 2\right) - \frac{8}{3} \, \log\left(-x + \sqrt{x^{2} + 4} - 2\right)"," ",0,"-1/9*(x^2 - 3*(x^2 + 4)*log(x) + 16)*sqrt(x^2 + 4) + 8/3*log(-x + sqrt(x^2 + 4) + 2) - 8/3*log(-x + sqrt(x^2 + 4) - 2)","A",0
276,1,314,0,0.779656," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{60 \, b d^{\frac{5}{2}} n \log\left(-\frac{e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - {\left(9 \, {\left(b e^{2} n - 5 \, a e^{2}\right)} x^{4} + 94 \, b d^{2} n - 120 \, a d^{2} - {\left(17 \, b d e n - 60 \, a d e\right)} x^{2} - 15 \, {\left(3 \, b e^{2} x^{4} - 4 \, b d e x^{2} + 8 \, b d^{2}\right)} \log\left(c\right) - 15 \, {\left(3 \, b e^{2} n x^{4} - 4 \, b d e n x^{2} + 8 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{225 \, e^{3}}, -\frac{120 \, b \sqrt{-d} d^{2} n \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) + {\left(9 \, {\left(b e^{2} n - 5 \, a e^{2}\right)} x^{4} + 94 \, b d^{2} n - 120 \, a d^{2} - {\left(17 \, b d e n - 60 \, a d e\right)} x^{2} - 15 \, {\left(3 \, b e^{2} x^{4} - 4 \, b d e x^{2} + 8 \, b d^{2}\right)} \log\left(c\right) - 15 \, {\left(3 \, b e^{2} n x^{4} - 4 \, b d e n x^{2} + 8 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{225 \, e^{3}}\right]"," ",0,"[1/225*(60*b*d^(5/2)*n*log(-(e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - (9*(b*e^2*n - 5*a*e^2)*x^4 + 94*b*d^2*n - 120*a*d^2 - (17*b*d*e*n - 60*a*d*e)*x^2 - 15*(3*b*e^2*x^4 - 4*b*d*e*x^2 + 8*b*d^2)*log(c) - 15*(3*b*e^2*n*x^4 - 4*b*d*e*n*x^2 + 8*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/e^3, -1/225*(120*b*sqrt(-d)*d^2*n*arctan(sqrt(-d)/sqrt(e*x^2 + d)) + (9*(b*e^2*n - 5*a*e^2)*x^4 + 94*b*d^2*n - 120*a*d^2 - (17*b*d*e*n - 60*a*d*e)*x^2 - 15*(3*b*e^2*x^4 - 4*b*d*e*x^2 + 8*b*d^2)*log(c) - 15*(3*b*e^2*n*x^4 - 4*b*d*e*n*x^2 + 8*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/e^3]","A",0
277,1,207,0,1.267451," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, b d^{\frac{3}{2}} n \log\left(-\frac{e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) + {\left(5 \, b d n - {\left(b e n - 3 \, a e\right)} x^{2} - 6 \, a d + 3 \, {\left(b e x^{2} - 2 \, b d\right)} \log\left(c\right) + 3 \, {\left(b e n x^{2} - 2 \, b d n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, e^{2}}, \frac{6 \, b \sqrt{-d} d n \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) + {\left(5 \, b d n - {\left(b e n - 3 \, a e\right)} x^{2} - 6 \, a d + 3 \, {\left(b e x^{2} - 2 \, b d\right)} \log\left(c\right) + 3 \, {\left(b e n x^{2} - 2 \, b d n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, e^{2}}\right]"," ",0,"[1/9*(3*b*d^(3/2)*n*log(-(e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) + (5*b*d*n - (b*e*n - 3*a*e)*x^2 - 6*a*d + 3*(b*e*x^2 - 2*b*d)*log(c) + 3*(b*e*n*x^2 - 2*b*d*n)*log(x))*sqrt(e*x^2 + d))/e^2, 1/9*(6*b*sqrt(-d)*d*n*arctan(sqrt(-d)/sqrt(e*x^2 + d)) + (5*b*d*n - (b*e*n - 3*a*e)*x^2 - 6*a*d + 3*(b*e*x^2 - 2*b*d)*log(c) + 3*(b*e*n*x^2 - 2*b*d*n)*log(x))*sqrt(e*x^2 + d))/e^2]","A",0
278,1,124,0,0.826987," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{b \sqrt{d} n \log\left(-\frac{e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) + 2 \, \sqrt{e x^{2} + d} {\left(b n \log\left(x\right) - b n + b \log\left(c\right) + a\right)}}{2 \, e}, -\frac{b \sqrt{-d} n \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) - \sqrt{e x^{2} + d} {\left(b n \log\left(x\right) - b n + b \log\left(c\right) + a\right)}}{e}\right]"," ",0,"[1/2*(b*sqrt(d)*n*log(-(e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) + 2*sqrt(e*x^2 + d)*(b*n*log(x) - b*n + b*log(c) + a))/e, -(b*sqrt(-d)*n*arctan(sqrt(-d)/sqrt(e*x^2 + d)) - sqrt(e*x^2 + d)*(b*n*log(x) - b*n + b*log(c) + a))/e]","A",0
279,0,0,0,0.808610," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a}{e x^{3} + d x}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*log(c*x^n) + sqrt(e*x^2 + d)*a)/(e*x^3 + d*x), x)","F",0
280,0,0,0,0.561622," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a}{e x^{5} + d x^{3}}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*log(c*x^n) + sqrt(e*x^2 + d)*a)/(e*x^5 + d*x^3), x)","F",0
281,0,0,0,0.553226," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b x^{2} \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a x^{2}}{e x^{2} + d}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*x^2*log(c*x^n) + sqrt(e*x^2 + d)*a*x^2)/(e*x^2 + d), x)","F",0
282,0,0,0,0.644309," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a}{e x^{2} + d}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*log(c*x^n) + sqrt(e*x^2 + d)*a)/(e*x^2 + d), x)","F",0
283,1,127,0,1.430993," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{b \sqrt{e} n x \log\left(-2 \, e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) - 2 \, \sqrt{e x^{2} + d} {\left(b n \log\left(x\right) + b n + b \log\left(c\right) + a\right)}}{2 \, d x}, -\frac{b \sqrt{-e} n x \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + \sqrt{e x^{2} + d} {\left(b n \log\left(x\right) + b n + b \log\left(c\right) + a\right)}}{d x}\right]"," ",0,"[1/2*(b*sqrt(e)*n*x*log(-2*e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) - 2*sqrt(e*x^2 + d)*(b*n*log(x) + b*n + b*log(c) + a))/(d*x), -(b*sqrt(-e)*n*x*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + sqrt(e*x^2 + d)*(b*n*log(x) + b*n + b*log(c) + a))/(d*x)]","A",0
284,1,223,0,0.845028," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, b e^{\frac{3}{2}} n x^{3} \log\left(-2 \, e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) - {\left(b d n - {\left(5 \, b e n + 6 \, a e\right)} x^{2} + 3 \, a d - 3 \, {\left(2 \, b e x^{2} - b d\right)} \log\left(c\right) - 3 \, {\left(2 \, b e n x^{2} - b d n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, d^{2} x^{3}}, \frac{6 \, b \sqrt{-e} e n x^{3} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) - {\left(b d n - {\left(5 \, b e n + 6 \, a e\right)} x^{2} + 3 \, a d - 3 \, {\left(2 \, b e x^{2} - b d\right)} \log\left(c\right) - 3 \, {\left(2 \, b e n x^{2} - b d n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, d^{2} x^{3}}\right]"," ",0,"[1/9*(3*b*e^(3/2)*n*x^3*log(-2*e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) - (b*d*n - (5*b*e*n + 6*a*e)*x^2 + 3*a*d - 3*(2*b*e*x^2 - b*d)*log(c) - 3*(2*b*e*n*x^2 - b*d*n)*log(x))*sqrt(e*x^2 + d))/(d^2*x^3), 1/9*(6*b*sqrt(-e)*e*n*x^3*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) - (b*d*n - (5*b*e*n + 6*a*e)*x^2 + 3*a*d - 3*(2*b*e*x^2 - b*d)*log(c) - 3*(2*b*e*n*x^2 - b*d*n)*log(x))*sqrt(e*x^2 + d))/(d^2*x^3)]","A",0
285,1,326,0,0.957236," ","integrate((a+b*log(c*x^n))/x^6/(e*x^2+d)^(1/2),x, algorithm=""fricas"")","\left[\frac{60 \, b e^{\frac{5}{2}} n x^{5} \log\left(-2 \, e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) - {\left(2 \, {\left(47 \, b e^{2} n + 60 \, a e^{2}\right)} x^{4} + 9 \, b d^{2} n + 45 \, a d^{2} - {\left(17 \, b d e n + 60 \, a d e\right)} x^{2} + 15 \, {\left(8 \, b e^{2} x^{4} - 4 \, b d e x^{2} + 3 \, b d^{2}\right)} \log\left(c\right) + 15 \, {\left(8 \, b e^{2} n x^{4} - 4 \, b d e n x^{2} + 3 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{225 \, d^{3} x^{5}}, -\frac{120 \, b \sqrt{-e} e^{2} n x^{5} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left(2 \, {\left(47 \, b e^{2} n + 60 \, a e^{2}\right)} x^{4} + 9 \, b d^{2} n + 45 \, a d^{2} - {\left(17 \, b d e n + 60 \, a d e\right)} x^{2} + 15 \, {\left(8 \, b e^{2} x^{4} - 4 \, b d e x^{2} + 3 \, b d^{2}\right)} \log\left(c\right) + 15 \, {\left(8 \, b e^{2} n x^{4} - 4 \, b d e n x^{2} + 3 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{225 \, d^{3} x^{5}}\right]"," ",0,"[1/225*(60*b*e^(5/2)*n*x^5*log(-2*e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) - (2*(47*b*e^2*n + 60*a*e^2)*x^4 + 9*b*d^2*n + 45*a*d^2 - (17*b*d*e*n + 60*a*d*e)*x^2 + 15*(8*b*e^2*x^4 - 4*b*d*e*x^2 + 3*b*d^2)*log(c) + 15*(8*b*e^2*n*x^4 - 4*b*d*e*n*x^2 + 3*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(d^3*x^5), -1/225*(120*b*sqrt(-e)*e^2*n*x^5*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + (2*(47*b*e^2*n + 60*a*e^2)*x^4 + 9*b*d^2*n + 45*a*d^2 - (17*b*d*e*n + 60*a*d*e)*x^2 + 15*(8*b*e^2*x^4 - 4*b*d*e*x^2 + 3*b*d^2)*log(c) + 15*(8*b*e^2*n*x^4 - 4*b*d*e*n*x^2 + 3*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(d^3*x^5)]","A",0
286,1,461,0,1.019726," ","integrate(x^7*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{120 \, {\left(b d^{2} e n x^{2} + b d^{3} n\right)} \sqrt{d} \log\left(-\frac{e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - {\left(3 \, {\left(b e^{3} n - 5 \, a e^{3}\right)} x^{6} + 148 \, b d^{3} n - {\left(11 \, b d e^{2} n - 30 \, a d e^{2}\right)} x^{4} - 240 \, a d^{3} + 2 \, {\left(67 \, b d^{2} e n - 60 \, a d^{2} e\right)} x^{2} - 15 \, {\left(b e^{3} x^{6} - 2 \, b d e^{2} x^{4} + 8 \, b d^{2} e x^{2} + 16 \, b d^{3}\right)} \log\left(c\right) - 15 \, {\left(b e^{3} n x^{6} - 2 \, b d e^{2} n x^{4} + 8 \, b d^{2} e n x^{2} + 16 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{75 \, {\left(e^{5} x^{2} + d e^{4}\right)}}, -\frac{240 \, {\left(b d^{2} e n x^{2} + b d^{3} n\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) + {\left(3 \, {\left(b e^{3} n - 5 \, a e^{3}\right)} x^{6} + 148 \, b d^{3} n - {\left(11 \, b d e^{2} n - 30 \, a d e^{2}\right)} x^{4} - 240 \, a d^{3} + 2 \, {\left(67 \, b d^{2} e n - 60 \, a d^{2} e\right)} x^{2} - 15 \, {\left(b e^{3} x^{6} - 2 \, b d e^{2} x^{4} + 8 \, b d^{2} e x^{2} + 16 \, b d^{3}\right)} \log\left(c\right) - 15 \, {\left(b e^{3} n x^{6} - 2 \, b d e^{2} n x^{4} + 8 \, b d^{2} e n x^{2} + 16 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{75 \, {\left(e^{5} x^{2} + d e^{4}\right)}}\right]"," ",0,"[1/75*(120*(b*d^2*e*n*x^2 + b*d^3*n)*sqrt(d)*log(-(e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - (3*(b*e^3*n - 5*a*e^3)*x^6 + 148*b*d^3*n - (11*b*d*e^2*n - 30*a*d*e^2)*x^4 - 240*a*d^3 + 2*(67*b*d^2*e*n - 60*a*d^2*e)*x^2 - 15*(b*e^3*x^6 - 2*b*d*e^2*x^4 + 8*b*d^2*e*x^2 + 16*b*d^3)*log(c) - 15*(b*e^3*n*x^6 - 2*b*d*e^2*n*x^4 + 8*b*d^2*e*n*x^2 + 16*b*d^3*n)*log(x))*sqrt(e*x^2 + d))/(e^5*x^2 + d*e^4), -1/75*(240*(b*d^2*e*n*x^2 + b*d^3*n)*sqrt(-d)*arctan(sqrt(-d)/sqrt(e*x^2 + d)) + (3*(b*e^3*n - 5*a*e^3)*x^6 + 148*b*d^3*n - (11*b*d*e^2*n - 30*a*d*e^2)*x^4 - 240*a*d^3 + 2*(67*b*d^2*e*n - 60*a*d^2*e)*x^2 - 15*(b*e^3*x^6 - 2*b*d*e^2*x^4 + 8*b*d^2*e*x^2 + 16*b*d^3)*log(c) - 15*(b*e^3*n*x^6 - 2*b*d*e^2*n*x^4 + 8*b*d^2*e*n*x^2 + 16*b*d^3*n)*log(x))*sqrt(e*x^2 + d))/(e^5*x^2 + d*e^4)]","A",0
287,1,356,0,0.966113," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{12 \, {\left(b d e n x^{2} + b d^{2} n\right)} \sqrt{d} \log\left(-\frac{e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - {\left({\left(b e^{2} n - 3 \, a e^{2}\right)} x^{4} - 14 \, b d^{2} n + 24 \, a d^{2} - {\left(13 \, b d e n - 12 \, a d e\right)} x^{2} - 3 \, {\left(b e^{2} x^{4} - 4 \, b d e x^{2} - 8 \, b d^{2}\right)} \log\left(c\right) - 3 \, {\left(b e^{2} n x^{4} - 4 \, b d e n x^{2} - 8 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, {\left(e^{4} x^{2} + d e^{3}\right)}}, \frac{24 \, {\left(b d e n x^{2} + b d^{2} n\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) - {\left({\left(b e^{2} n - 3 \, a e^{2}\right)} x^{4} - 14 \, b d^{2} n + 24 \, a d^{2} - {\left(13 \, b d e n - 12 \, a d e\right)} x^{2} - 3 \, {\left(b e^{2} x^{4} - 4 \, b d e x^{2} - 8 \, b d^{2}\right)} \log\left(c\right) - 3 \, {\left(b e^{2} n x^{4} - 4 \, b d e n x^{2} - 8 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, {\left(e^{4} x^{2} + d e^{3}\right)}}\right]"," ",0,"[1/9*(12*(b*d*e*n*x^2 + b*d^2*n)*sqrt(d)*log(-(e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - ((b*e^2*n - 3*a*e^2)*x^4 - 14*b*d^2*n + 24*a*d^2 - (13*b*d*e*n - 12*a*d*e)*x^2 - 3*(b*e^2*x^4 - 4*b*d*e*x^2 - 8*b*d^2)*log(c) - 3*(b*e^2*n*x^4 - 4*b*d*e*n*x^2 - 8*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(e^4*x^2 + d*e^3), 1/9*(24*(b*d*e*n*x^2 + b*d^2*n)*sqrt(-d)*arctan(sqrt(-d)/sqrt(e*x^2 + d)) - ((b*e^2*n - 3*a*e^2)*x^4 - 14*b*d^2*n + 24*a*d^2 - (13*b*d*e*n - 12*a*d*e)*x^2 - 3*(b*e^2*x^4 - 4*b*d*e*x^2 - 8*b*d^2)*log(c) - 3*(b*e^2*n*x^4 - 4*b*d*e*n*x^2 - 8*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(e^4*x^2 + d*e^3)]","A",0
288,1,245,0,1.251695," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(b e n x^{2} + b d n\right)} \sqrt{d} \log\left(-\frac{e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - {\left(b d n + {\left(b e n - a e\right)} x^{2} - 2 \, a d - {\left(b e x^{2} + 2 \, b d\right)} \log\left(c\right) - {\left(b e n x^{2} + 2 \, b d n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{e^{3} x^{2} + d e^{2}}, -\frac{2 \, {\left(b e n x^{2} + b d n\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) + {\left(b d n + {\left(b e n - a e\right)} x^{2} - 2 \, a d - {\left(b e x^{2} + 2 \, b d\right)} \log\left(c\right) - {\left(b e n x^{2} + 2 \, b d n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{e^{3} x^{2} + d e^{2}}\right]"," ",0,"[((b*e*n*x^2 + b*d*n)*sqrt(d)*log(-(e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - (b*d*n + (b*e*n - a*e)*x^2 - 2*a*d - (b*e*x^2 + 2*b*d)*log(c) - (b*e*n*x^2 + 2*b*d*n)*log(x))*sqrt(e*x^2 + d))/(e^3*x^2 + d*e^2), -(2*(b*e*n*x^2 + b*d*n)*sqrt(-d)*arctan(sqrt(-d)/sqrt(e*x^2 + d)) + (b*d*n + (b*e*n - a*e)*x^2 - 2*a*d - (b*e*x^2 + 2*b*d)*log(c) - (b*e*n*x^2 + 2*b*d*n)*log(x))*sqrt(e*x^2 + d))/(e^3*x^2 + d*e^2)]","A",0
289,1,169,0,0.613609," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(b e n x^{2} + b d n\right)} \sqrt{d} \log\left(-\frac{e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - 2 \, {\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)} \sqrt{e x^{2} + d}}{2 \, {\left(d e^{2} x^{2} + d^{2} e\right)}}, \frac{{\left(b e n x^{2} + b d n\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) - {\left(b d n \log\left(x\right) + b d \log\left(c\right) + a d\right)} \sqrt{e x^{2} + d}}{d e^{2} x^{2} + d^{2} e}\right]"," ",0,"[1/2*((b*e*n*x^2 + b*d*n)*sqrt(d)*log(-(e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - 2*(b*d*n*log(x) + b*d*log(c) + a*d)*sqrt(e*x^2 + d))/(d*e^2*x^2 + d^2*e), ((b*e*n*x^2 + b*d*n)*sqrt(-d)*arctan(sqrt(-d)/sqrt(e*x^2 + d)) - (b*d*n*log(x) + b*d*log(c) + a*d)*sqrt(e*x^2 + d))/(d*e^2*x^2 + d^2*e)]","A",0
290,0,0,0,1.304742," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a}{e^{2} x^{5} + 2 \, d e x^{3} + d^{2} x}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*log(c*x^n) + sqrt(e*x^2 + d)*a)/(e^2*x^5 + 2*d*e*x^3 + d^2*x), x)","F",0
291,0,0,0,0.851010," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a}{e^{2} x^{7} + 2 \, d e x^{5} + d^{2} x^{3}}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*log(c*x^n) + sqrt(e*x^2 + d)*a)/(e^2*x^7 + 2*d*e*x^5 + d^2*x^3), x)","F",0
292,0,0,0,1.105603," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b x^{2} \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a x^{2}}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*x^2*log(c*x^n) + sqrt(e*x^2 + d)*a*x^2)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
293,1,172,0,1.026614," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(b e n x^{2} + b d n\right)} \sqrt{e} \log\left(-2 \, e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) + 2 \, {\left(b e n x \log\left(x\right) + b e x \log\left(c\right) + a e x\right)} \sqrt{e x^{2} + d}}{2 \, {\left(d e^{2} x^{2} + d^{2} e\right)}}, \frac{{\left(b e n x^{2} + b d n\right)} \sqrt{-e} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left(b e n x \log\left(x\right) + b e x \log\left(c\right) + a e x\right)} \sqrt{e x^{2} + d}}{d e^{2} x^{2} + d^{2} e}\right]"," ",0,"[1/2*((b*e*n*x^2 + b*d*n)*sqrt(e)*log(-2*e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) + 2*(b*e*n*x*log(x) + b*e*x*log(c) + a*e*x)*sqrt(e*x^2 + d))/(d*e^2*x^2 + d^2*e), ((b*e*n*x^2 + b*d*n)*sqrt(-e)*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + (b*e*n*x*log(x) + b*e*x*log(c) + a*e*x)*sqrt(e*x^2 + d))/(d*e^2*x^2 + d^2*e)]","A",0
294,1,241,0,0.776288," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(b e n x^{3} + b d n x\right)} \sqrt{e} \log\left(-2 \, e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) - {\left(b d n + {\left(b e n + 2 \, a e\right)} x^{2} + a d + {\left(2 \, b e x^{2} + b d\right)} \log\left(c\right) + {\left(2 \, b e n x^{2} + b d n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{d^{2} e x^{3} + d^{3} x}, -\frac{2 \, {\left(b e n x^{3} + b d n x\right)} \sqrt{-e} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left(b d n + {\left(b e n + 2 \, a e\right)} x^{2} + a d + {\left(2 \, b e x^{2} + b d\right)} \log\left(c\right) + {\left(2 \, b e n x^{2} + b d n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{d^{2} e x^{3} + d^{3} x}\right]"," ",0,"[((b*e*n*x^3 + b*d*n*x)*sqrt(e)*log(-2*e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) - (b*d*n + (b*e*n + 2*a*e)*x^2 + a*d + (2*b*e*x^2 + b*d)*log(c) + (2*b*e*n*x^2 + b*d*n)*log(x))*sqrt(e*x^2 + d))/(d^2*e*x^3 + d^3*x), -(2*(b*e*n*x^3 + b*d*n*x)*sqrt(-e)*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + (b*d*n + (b*e*n + 2*a*e)*x^2 + a*d + (2*b*e*x^2 + b*d)*log(c) + (2*b*e*n*x^2 + b*d*n)*log(x))*sqrt(e*x^2 + d))/(d^2*e*x^3 + d^3*x)]","A",0
295,1,370,0,0.796199," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{12 \, {\left(b e^{2} n x^{5} + b d e n x^{3}\right)} \sqrt{e} \log\left(-2 \, e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) + {\left(2 \, {\left(7 \, b e^{2} n + 12 \, a e^{2}\right)} x^{4} - b d^{2} n - 3 \, a d^{2} + {\left(13 \, b d e n + 12 \, a d e\right)} x^{2} + 3 \, {\left(8 \, b e^{2} x^{4} + 4 \, b d e x^{2} - b d^{2}\right)} \log\left(c\right) + 3 \, {\left(8 \, b e^{2} n x^{4} + 4 \, b d e n x^{2} - b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, {\left(d^{3} e x^{5} + d^{4} x^{3}\right)}}, \frac{24 \, {\left(b e^{2} n x^{5} + b d e n x^{3}\right)} \sqrt{-e} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left(2 \, {\left(7 \, b e^{2} n + 12 \, a e^{2}\right)} x^{4} - b d^{2} n - 3 \, a d^{2} + {\left(13 \, b d e n + 12 \, a d e\right)} x^{2} + 3 \, {\left(8 \, b e^{2} x^{4} + 4 \, b d e x^{2} - b d^{2}\right)} \log\left(c\right) + 3 \, {\left(8 \, b e^{2} n x^{4} + 4 \, b d e n x^{2} - b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, {\left(d^{3} e x^{5} + d^{4} x^{3}\right)}}\right]"," ",0,"[1/9*(12*(b*e^2*n*x^5 + b*d*e*n*x^3)*sqrt(e)*log(-2*e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) + (2*(7*b*e^2*n + 12*a*e^2)*x^4 - b*d^2*n - 3*a*d^2 + (13*b*d*e*n + 12*a*d*e)*x^2 + 3*(8*b*e^2*x^4 + 4*b*d*e*x^2 - b*d^2)*log(c) + 3*(8*b*e^2*n*x^4 + 4*b*d*e*n*x^2 - b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(d^3*e*x^5 + d^4*x^3), 1/9*(24*(b*e^2*n*x^5 + b*d*e*n*x^3)*sqrt(-e)*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + (2*(7*b*e^2*n + 12*a*e^2)*x^4 - b*d^2*n - 3*a*d^2 + (13*b*d*e*n + 12*a*d*e)*x^2 + 3*(8*b*e^2*x^4 + 4*b*d*e*x^2 - b*d^2)*log(c) + 3*(8*b*e^2*n*x^4 + 4*b*d*e*n*x^2 - b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(d^3*e*x^5 + d^4*x^3)]","A",0
296,1,473,0,0.859997," ","integrate((a+b*log(c*x^n))/x^6/(e*x^2+d)^(3/2),x, algorithm=""fricas"")","\left[\frac{120 \, {\left(b e^{3} n x^{7} + b d e^{2} n x^{5}\right)} \sqrt{e} \log\left(-2 \, e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) - {\left(4 \, {\left(37 \, b e^{3} n + 60 \, a e^{3}\right)} x^{6} + 3 \, b d^{3} n + 2 \, {\left(67 \, b d e^{2} n + 60 \, a d e^{2}\right)} x^{4} + 15 \, a d^{3} - {\left(11 \, b d^{2} e n + 30 \, a d^{2} e\right)} x^{2} + 15 \, {\left(16 \, b e^{3} x^{6} + 8 \, b d e^{2} x^{4} - 2 \, b d^{2} e x^{2} + b d^{3}\right)} \log\left(c\right) + 15 \, {\left(16 \, b e^{3} n x^{6} + 8 \, b d e^{2} n x^{4} - 2 \, b d^{2} e n x^{2} + b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{75 \, {\left(d^{4} e x^{7} + d^{5} x^{5}\right)}}, -\frac{240 \, {\left(b e^{3} n x^{7} + b d e^{2} n x^{5}\right)} \sqrt{-e} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left(4 \, {\left(37 \, b e^{3} n + 60 \, a e^{3}\right)} x^{6} + 3 \, b d^{3} n + 2 \, {\left(67 \, b d e^{2} n + 60 \, a d e^{2}\right)} x^{4} + 15 \, a d^{3} - {\left(11 \, b d^{2} e n + 30 \, a d^{2} e\right)} x^{2} + 15 \, {\left(16 \, b e^{3} x^{6} + 8 \, b d e^{2} x^{4} - 2 \, b d^{2} e x^{2} + b d^{3}\right)} \log\left(c\right) + 15 \, {\left(16 \, b e^{3} n x^{6} + 8 \, b d e^{2} n x^{4} - 2 \, b d^{2} e n x^{2} + b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{75 \, {\left(d^{4} e x^{7} + d^{5} x^{5}\right)}}\right]"," ",0,"[1/75*(120*(b*e^3*n*x^7 + b*d*e^2*n*x^5)*sqrt(e)*log(-2*e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) - (4*(37*b*e^3*n + 60*a*e^3)*x^6 + 3*b*d^3*n + 2*(67*b*d*e^2*n + 60*a*d*e^2)*x^4 + 15*a*d^3 - (11*b*d^2*e*n + 30*a*d^2*e)*x^2 + 15*(16*b*e^3*x^6 + 8*b*d*e^2*x^4 - 2*b*d^2*e*x^2 + b*d^3)*log(c) + 15*(16*b*e^3*n*x^6 + 8*b*d*e^2*n*x^4 - 2*b*d^2*e*n*x^2 + b*d^3*n)*log(x))*sqrt(e*x^2 + d))/(d^4*e*x^7 + d^5*x^5), -1/75*(240*(b*e^3*n*x^7 + b*d*e^2*n*x^5)*sqrt(-e)*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + (4*(37*b*e^3*n + 60*a*e^3)*x^6 + 3*b*d^3*n + 2*(67*b*d*e^2*n + 60*a*d*e^2)*x^4 + 15*a*d^3 - (11*b*d^2*e*n + 30*a*d^2*e)*x^2 + 15*(16*b*e^3*x^6 + 8*b*d*e^2*x^4 - 2*b*d^2*e*x^2 + b*d^3)*log(c) + 15*(16*b*e^3*n*x^6 + 8*b*d*e^2*n*x^4 - 2*b*d^2*e*n*x^2 + b*d^3*n)*log(x))*sqrt(e*x^2 + d))/(d^4*e*x^7 + d^5*x^5)]","A",0
297,1,504,0,0.952461," ","integrate(x^7*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","\left[\frac{24 \, {\left(b d e^{2} n x^{4} + 2 \, b d^{2} e n x^{2} + b d^{3} n\right)} \sqrt{d} \log\left(-\frac{e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - {\left({\left(b e^{3} n - 3 \, a e^{3}\right)} x^{6} - 20 \, b d^{3} n - 3 \, {\left(7 \, b d e^{2} n - 6 \, a d e^{2}\right)} x^{4} + 48 \, a d^{3} - 6 \, {\left(7 \, b d^{2} e n - 12 \, a d^{2} e\right)} x^{2} - 3 \, {\left(b e^{3} x^{6} - 6 \, b d e^{2} x^{4} - 24 \, b d^{2} e x^{2} - 16 \, b d^{3}\right)} \log\left(c\right) - 3 \, {\left(b e^{3} n x^{6} - 6 \, b d e^{2} n x^{4} - 24 \, b d^{2} e n x^{2} - 16 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, {\left(e^{6} x^{4} + 2 \, d e^{5} x^{2} + d^{2} e^{4}\right)}}, \frac{48 \, {\left(b d e^{2} n x^{4} + 2 \, b d^{2} e n x^{2} + b d^{3} n\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) - {\left({\left(b e^{3} n - 3 \, a e^{3}\right)} x^{6} - 20 \, b d^{3} n - 3 \, {\left(7 \, b d e^{2} n - 6 \, a d e^{2}\right)} x^{4} + 48 \, a d^{3} - 6 \, {\left(7 \, b d^{2} e n - 12 \, a d^{2} e\right)} x^{2} - 3 \, {\left(b e^{3} x^{6} - 6 \, b d e^{2} x^{4} - 24 \, b d^{2} e x^{2} - 16 \, b d^{3}\right)} \log\left(c\right) - 3 \, {\left(b e^{3} n x^{6} - 6 \, b d e^{2} n x^{4} - 24 \, b d^{2} e n x^{2} - 16 \, b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, {\left(e^{6} x^{4} + 2 \, d e^{5} x^{2} + d^{2} e^{4}\right)}}\right]"," ",0,"[1/9*(24*(b*d*e^2*n*x^4 + 2*b*d^2*e*n*x^2 + b*d^3*n)*sqrt(d)*log(-(e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - ((b*e^3*n - 3*a*e^3)*x^6 - 20*b*d^3*n - 3*(7*b*d*e^2*n - 6*a*d*e^2)*x^4 + 48*a*d^3 - 6*(7*b*d^2*e*n - 12*a*d^2*e)*x^2 - 3*(b*e^3*x^6 - 6*b*d*e^2*x^4 - 24*b*d^2*e*x^2 - 16*b*d^3)*log(c) - 3*(b*e^3*n*x^6 - 6*b*d*e^2*n*x^4 - 24*b*d^2*e*n*x^2 - 16*b*d^3*n)*log(x))*sqrt(e*x^2 + d))/(e^6*x^4 + 2*d*e^5*x^2 + d^2*e^4), 1/9*(48*(b*d*e^2*n*x^4 + 2*b*d^2*e*n*x^2 + b*d^3*n)*sqrt(-d)*arctan(sqrt(-d)/sqrt(e*x^2 + d)) - ((b*e^3*n - 3*a*e^3)*x^6 - 20*b*d^3*n - 3*(7*b*d*e^2*n - 6*a*d*e^2)*x^4 + 48*a*d^3 - 6*(7*b*d^2*e*n - 12*a*d^2*e)*x^2 - 3*(b*e^3*x^6 - 6*b*d*e^2*x^4 - 24*b*d^2*e*x^2 - 16*b*d^3)*log(c) - 3*(b*e^3*n*x^6 - 6*b*d*e^2*n*x^4 - 24*b*d^2*e*n*x^2 - 16*b*d^3*n)*log(x))*sqrt(e*x^2 + d))/(e^6*x^4 + 2*d*e^5*x^2 + d^2*e^4)]","A",0
298,1,401,0,0.915170," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","\left[\frac{4 \, {\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \sqrt{d} \log\left(-\frac{e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - {\left(3 \, {\left(b e^{2} n - a e^{2}\right)} x^{4} + 2 \, b d^{2} n - 8 \, a d^{2} + {\left(5 \, b d e n - 12 \, a d e\right)} x^{2} - {\left(3 \, b e^{2} x^{4} + 12 \, b d e x^{2} + 8 \, b d^{2}\right)} \log\left(c\right) - {\left(3 \, b e^{2} n x^{4} + 12 \, b d e n x^{2} + 8 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3 \, {\left(e^{5} x^{4} + 2 \, d e^{4} x^{2} + d^{2} e^{3}\right)}}, -\frac{8 \, {\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) + {\left(3 \, {\left(b e^{2} n - a e^{2}\right)} x^{4} + 2 \, b d^{2} n - 8 \, a d^{2} + {\left(5 \, b d e n - 12 \, a d e\right)} x^{2} - {\left(3 \, b e^{2} x^{4} + 12 \, b d e x^{2} + 8 \, b d^{2}\right)} \log\left(c\right) - {\left(3 \, b e^{2} n x^{4} + 12 \, b d e n x^{2} + 8 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3 \, {\left(e^{5} x^{4} + 2 \, d e^{4} x^{2} + d^{2} e^{3}\right)}}\right]"," ",0,"[1/3*(4*(b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*sqrt(d)*log(-(e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - (3*(b*e^2*n - a*e^2)*x^4 + 2*b*d^2*n - 8*a*d^2 + (5*b*d*e*n - 12*a*d*e)*x^2 - (3*b*e^2*x^4 + 12*b*d*e*x^2 + 8*b*d^2)*log(c) - (3*b*e^2*n*x^4 + 12*b*d*e*n*x^2 + 8*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(e^5*x^4 + 2*d*e^4*x^2 + d^2*e^3), -1/3*(8*(b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*sqrt(-d)*arctan(sqrt(-d)/sqrt(e*x^2 + d)) + (3*(b*e^2*n - a*e^2)*x^4 + 2*b*d^2*n - 8*a*d^2 + (5*b*d*e*n - 12*a*d*e)*x^2 - (3*b*e^2*x^4 + 12*b*d*e*x^2 + 8*b*d^2)*log(c) - (3*b*e^2*n*x^4 + 12*b*d*e*n*x^2 + 8*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(e^5*x^4 + 2*d*e^4*x^2 + d^2*e^3)]","A",0
299,1,325,0,0.806309," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","\left[\frac{{\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \sqrt{d} \log\left(-\frac{e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) - {\left(b d^{2} n + 2 \, a d^{2} + {\left(b d e n + 3 \, a d e\right)} x^{2} + {\left(3 \, b d e x^{2} + 2 \, b d^{2}\right)} \log\left(c\right) + {\left(3 \, b d e n x^{2} + 2 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3 \, {\left(d e^{4} x^{4} + 2 \, d^{2} e^{3} x^{2} + d^{3} e^{2}\right)}}, \frac{2 \, {\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) - {\left(b d^{2} n + 2 \, a d^{2} + {\left(b d e n + 3 \, a d e\right)} x^{2} + {\left(3 \, b d e x^{2} + 2 \, b d^{2}\right)} \log\left(c\right) + {\left(3 \, b d e n x^{2} + 2 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3 \, {\left(d e^{4} x^{4} + 2 \, d^{2} e^{3} x^{2} + d^{3} e^{2}\right)}}\right]"," ",0,"[1/3*((b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*sqrt(d)*log(-(e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) - (b*d^2*n + 2*a*d^2 + (b*d*e*n + 3*a*d*e)*x^2 + (3*b*d*e*x^2 + 2*b*d^2)*log(c) + (3*b*d*e*n*x^2 + 2*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(d*e^4*x^4 + 2*d^2*e^3*x^2 + d^3*e^2), 1/3*(2*(b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*sqrt(-d)*arctan(sqrt(-d)/sqrt(e*x^2 + d)) - (b*d^2*n + 2*a*d^2 + (b*d*e*n + 3*a*d*e)*x^2 + (3*b*d*e*x^2 + 2*b*d^2)*log(c) + (3*b*d*e*n*x^2 + 2*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(d*e^4*x^4 + 2*d^2*e^3*x^2 + d^3*e^2)]","A",0
300,1,267,0,0.662474," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","\left[\frac{{\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \sqrt{d} \log\left(-\frac{e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{d} + 2 \, d}{x^{2}}\right) + 2 \, {\left(b d e n x^{2} - b d^{2} n \log\left(x\right) + b d^{2} n - b d^{2} \log\left(c\right) - a d^{2}\right)} \sqrt{e x^{2} + d}}{6 \, {\left(d^{2} e^{3} x^{4} + 2 \, d^{3} e^{2} x^{2} + d^{4} e\right)}}, \frac{{\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \sqrt{-d} \arctan\left(\frac{\sqrt{-d}}{\sqrt{e x^{2} + d}}\right) + {\left(b d e n x^{2} - b d^{2} n \log\left(x\right) + b d^{2} n - b d^{2} \log\left(c\right) - a d^{2}\right)} \sqrt{e x^{2} + d}}{3 \, {\left(d^{2} e^{3} x^{4} + 2 \, d^{3} e^{2} x^{2} + d^{4} e\right)}}\right]"," ",0,"[1/6*((b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*sqrt(d)*log(-(e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(d) + 2*d)/x^2) + 2*(b*d*e*n*x^2 - b*d^2*n*log(x) + b*d^2*n - b*d^2*log(c) - a*d^2)*sqrt(e*x^2 + d))/(d^2*e^3*x^4 + 2*d^3*e^2*x^2 + d^4*e), 1/3*((b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*sqrt(-d)*arctan(sqrt(-d)/sqrt(e*x^2 + d)) + (b*d*e*n*x^2 - b*d^2*n*log(x) + b*d^2*n - b*d^2*log(c) - a*d^2)*sqrt(e*x^2 + d))/(d^2*e^3*x^4 + 2*d^3*e^2*x^2 + d^4*e)]","A",0
301,0,0,0,0.783852," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a}{e^{3} x^{7} + 3 \, d e^{2} x^{5} + 3 \, d^{2} e x^{3} + d^{3} x}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*log(c*x^n) + sqrt(e*x^2 + d)*a)/(e^3*x^7 + 3*d*e^2*x^5 + 3*d^2*e*x^3 + d^3*x), x)","F",0
302,0,0,0,0.555567," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a}{e^{3} x^{9} + 3 \, d e^{2} x^{7} + 3 \, d^{2} e x^{5} + d^{3} x^{3}}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*log(c*x^n) + sqrt(e*x^2 + d)*a)/(e^3*x^9 + 3*d*e^2*x^7 + 3*d^2*e*x^5 + d^3*x^3), x)","F",0
303,0,0,0,0.720899," ","integrate(x^6*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b x^{6} \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a x^{6}}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*x^6*log(c*x^n) + sqrt(e*x^2 + d)*a*x^6)/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
304,0,0,0,0.736227," ","integrate(x^4*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{e x^{2} + d} b x^{4} \log\left(c x^{n}\right) + \sqrt{e x^{2} + d} a x^{4}}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}, x\right)"," ",0,"integral((sqrt(e*x^2 + d)*b*x^4*log(c*x^n) + sqrt(e*x^2 + d)*a*x^4)/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
305,1,277,0,0.830579," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","\left[\frac{{\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \sqrt{e} \log\left(-2 \, e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) + 2 \, {\left(b e^{2} n x^{3} \log\left(x\right) + b e^{2} x^{3} \log\left(c\right) + b d e n x + {\left(b e^{2} n + a e^{2}\right)} x^{3}\right)} \sqrt{e x^{2} + d}}{6 \, {\left(d e^{4} x^{4} + 2 \, d^{2} e^{3} x^{2} + d^{3} e^{2}\right)}}, \frac{{\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \sqrt{-e} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left(b e^{2} n x^{3} \log\left(x\right) + b e^{2} x^{3} \log\left(c\right) + b d e n x + {\left(b e^{2} n + a e^{2}\right)} x^{3}\right)} \sqrt{e x^{2} + d}}{3 \, {\left(d e^{4} x^{4} + 2 \, d^{2} e^{3} x^{2} + d^{3} e^{2}\right)}}\right]"," ",0,"[1/6*((b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*sqrt(e)*log(-2*e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) + 2*(b*e^2*n*x^3*log(x) + b*e^2*x^3*log(c) + b*d*e*n*x + (b*e^2*n + a*e^2)*x^3)*sqrt(e*x^2 + d))/(d*e^4*x^4 + 2*d^2*e^3*x^2 + d^3*e^2), 1/3*((b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*sqrt(-e)*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + (b*e^2*n*x^3*log(x) + b*e^2*x^3*log(c) + b*d*e*n*x + (b*e^2*n + a*e^2)*x^3)*sqrt(e*x^2 + d))/(d*e^4*x^4 + 2*d^2*e^3*x^2 + d^3*e^2)]","A",0
306,1,337,0,0.667195," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","\left[\frac{{\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \sqrt{e} \log\left(-2 \, e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) - {\left({\left(b e^{2} n - 2 \, a e^{2}\right)} x^{3} + {\left(b d e n - 3 \, a d e\right)} x - {\left(2 \, b e^{2} x^{3} + 3 \, b d e x\right)} \log\left(c\right) - {\left(2 \, b e^{2} n x^{3} + 3 \, b d e n x\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3 \, {\left(d^{2} e^{3} x^{4} + 2 \, d^{3} e^{2} x^{2} + d^{4} e\right)}}, \frac{2 \, {\left(b e^{2} n x^{4} + 2 \, b d e n x^{2} + b d^{2} n\right)} \sqrt{-e} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) - {\left({\left(b e^{2} n - 2 \, a e^{2}\right)} x^{3} + {\left(b d e n - 3 \, a d e\right)} x - {\left(2 \, b e^{2} x^{3} + 3 \, b d e x\right)} \log\left(c\right) - {\left(2 \, b e^{2} n x^{3} + 3 \, b d e n x\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3 \, {\left(d^{2} e^{3} x^{4} + 2 \, d^{3} e^{2} x^{2} + d^{4} e\right)}}\right]"," ",0,"[1/3*((b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*sqrt(e)*log(-2*e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) - ((b*e^2*n - 2*a*e^2)*x^3 + (b*d*e*n - 3*a*d*e)*x - (2*b*e^2*x^3 + 3*b*d*e*x)*log(c) - (2*b*e^2*n*x^3 + 3*b*d*e*n*x)*log(x))*sqrt(e*x^2 + d))/(d^2*e^3*x^4 + 2*d^3*e^2*x^2 + d^4*e), 1/3*(2*(b*e^2*n*x^4 + 2*b*d*e*n*x^2 + b*d^2*n)*sqrt(-e)*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) - ((b*e^2*n - 2*a*e^2)*x^3 + (b*d*e*n - 3*a*d*e)*x - (2*b*e^2*x^3 + 3*b*d*e*x)*log(c) - (2*b*e^2*n*x^3 + 3*b*d*e*n*x)*log(x))*sqrt(e*x^2 + d))/(d^2*e^3*x^4 + 2*d^3*e^2*x^2 + d^4*e)]","A",0
307,1,399,0,0.946951," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","\left[\frac{4 \, {\left(b e^{2} n x^{5} + 2 \, b d e n x^{3} + b d^{2} n x\right)} \sqrt{e} \log\left(-2 \, e x^{2} - 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) - {\left(2 \, {\left(b e^{2} n + 4 \, a e^{2}\right)} x^{4} + 3 \, b d^{2} n + 3 \, a d^{2} + {\left(5 \, b d e n + 12 \, a d e\right)} x^{2} + {\left(8 \, b e^{2} x^{4} + 12 \, b d e x^{2} + 3 \, b d^{2}\right)} \log\left(c\right) + {\left(8 \, b e^{2} n x^{4} + 12 \, b d e n x^{2} + 3 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3 \, {\left(d^{3} e^{2} x^{5} + 2 \, d^{4} e x^{3} + d^{5} x\right)}}, -\frac{8 \, {\left(b e^{2} n x^{5} + 2 \, b d e n x^{3} + b d^{2} n x\right)} \sqrt{-e} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left(2 \, {\left(b e^{2} n + 4 \, a e^{2}\right)} x^{4} + 3 \, b d^{2} n + 3 \, a d^{2} + {\left(5 \, b d e n + 12 \, a d e\right)} x^{2} + {\left(8 \, b e^{2} x^{4} + 12 \, b d e x^{2} + 3 \, b d^{2}\right)} \log\left(c\right) + {\left(8 \, b e^{2} n x^{4} + 12 \, b d e n x^{2} + 3 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{3 \, {\left(d^{3} e^{2} x^{5} + 2 \, d^{4} e x^{3} + d^{5} x\right)}}\right]"," ",0,"[1/3*(4*(b*e^2*n*x^5 + 2*b*d*e*n*x^3 + b*d^2*n*x)*sqrt(e)*log(-2*e*x^2 - 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) - (2*(b*e^2*n + 4*a*e^2)*x^4 + 3*b*d^2*n + 3*a*d^2 + (5*b*d*e*n + 12*a*d*e)*x^2 + (8*b*e^2*x^4 + 12*b*d*e*x^2 + 3*b*d^2)*log(c) + (8*b*e^2*n*x^4 + 12*b*d*e*n*x^2 + 3*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(d^3*e^2*x^5 + 2*d^4*e*x^3 + d^5*x), -1/3*(8*(b*e^2*n*x^5 + 2*b*d*e*n*x^3 + b*d^2*n*x)*sqrt(-e)*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + (2*(b*e^2*n + 4*a*e^2)*x^4 + 3*b*d^2*n + 3*a*d^2 + (5*b*d*e*n + 12*a*d*e)*x^2 + (8*b*e^2*x^4 + 12*b*d*e*x^2 + 3*b*d^2)*log(c) + (8*b*e^2*n*x^4 + 12*b*d*e*n*x^2 + 3*b*d^2*n)*log(x))*sqrt(e*x^2 + d))/(d^3*e^2*x^5 + 2*d^4*e*x^3 + d^5*x)]","A",0
308,1,520,0,1.129576," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^(5/2),x, algorithm=""fricas"")","\left[\frac{24 \, {\left(b e^{3} n x^{7} + 2 \, b d e^{2} n x^{5} + b d^{2} e n x^{3}\right)} \sqrt{e} \log\left(-2 \, e x^{2} + 2 \, \sqrt{e x^{2} + d} \sqrt{e} x - d\right) + {\left(4 \, {\left(5 \, b e^{3} n + 12 \, a e^{3}\right)} x^{6} - b d^{3} n + 6 \, {\left(7 \, b d e^{2} n + 12 \, a d e^{2}\right)} x^{4} - 3 \, a d^{3} + 3 \, {\left(7 \, b d^{2} e n + 6 \, a d^{2} e\right)} x^{2} + 3 \, {\left(16 \, b e^{3} x^{6} + 24 \, b d e^{2} x^{4} + 6 \, b d^{2} e x^{2} - b d^{3}\right)} \log\left(c\right) + 3 \, {\left(16 \, b e^{3} n x^{6} + 24 \, b d e^{2} n x^{4} + 6 \, b d^{2} e n x^{2} - b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, {\left(d^{4} e^{2} x^{7} + 2 \, d^{5} e x^{5} + d^{6} x^{3}\right)}}, \frac{48 \, {\left(b e^{3} n x^{7} + 2 \, b d e^{2} n x^{5} + b d^{2} e n x^{3}\right)} \sqrt{-e} \arctan\left(\frac{\sqrt{-e} x}{\sqrt{e x^{2} + d}}\right) + {\left(4 \, {\left(5 \, b e^{3} n + 12 \, a e^{3}\right)} x^{6} - b d^{3} n + 6 \, {\left(7 \, b d e^{2} n + 12 \, a d e^{2}\right)} x^{4} - 3 \, a d^{3} + 3 \, {\left(7 \, b d^{2} e n + 6 \, a d^{2} e\right)} x^{2} + 3 \, {\left(16 \, b e^{3} x^{6} + 24 \, b d e^{2} x^{4} + 6 \, b d^{2} e x^{2} - b d^{3}\right)} \log\left(c\right) + 3 \, {\left(16 \, b e^{3} n x^{6} + 24 \, b d e^{2} n x^{4} + 6 \, b d^{2} e n x^{2} - b d^{3} n\right)} \log\left(x\right)\right)} \sqrt{e x^{2} + d}}{9 \, {\left(d^{4} e^{2} x^{7} + 2 \, d^{5} e x^{5} + d^{6} x^{3}\right)}}\right]"," ",0,"[1/9*(24*(b*e^3*n*x^7 + 2*b*d*e^2*n*x^5 + b*d^2*e*n*x^3)*sqrt(e)*log(-2*e*x^2 + 2*sqrt(e*x^2 + d)*sqrt(e)*x - d) + (4*(5*b*e^3*n + 12*a*e^3)*x^6 - b*d^3*n + 6*(7*b*d*e^2*n + 12*a*d*e^2)*x^4 - 3*a*d^3 + 3*(7*b*d^2*e*n + 6*a*d^2*e)*x^2 + 3*(16*b*e^3*x^6 + 24*b*d*e^2*x^4 + 6*b*d^2*e*x^2 - b*d^3)*log(c) + 3*(16*b*e^3*n*x^6 + 24*b*d*e^2*n*x^4 + 6*b*d^2*e*n*x^2 - b*d^3*n)*log(x))*sqrt(e*x^2 + d))/(d^4*e^2*x^7 + 2*d^5*e*x^5 + d^6*x^3), 1/9*(48*(b*e^3*n*x^7 + 2*b*d*e^2*n*x^5 + b*d^2*e*n*x^3)*sqrt(-e)*arctan(sqrt(-e)*x/sqrt(e*x^2 + d)) + (4*(5*b*e^3*n + 12*a*e^3)*x^6 - b*d^3*n + 6*(7*b*d*e^2*n + 12*a*d*e^2)*x^4 - 3*a*d^3 + 3*(7*b*d^2*e*n + 6*a*d^2*e)*x^2 + 3*(16*b*e^3*x^6 + 24*b*d*e^2*x^4 + 6*b*d^2*e*x^2 - b*d^3)*log(c) + 3*(16*b*e^3*n*x^6 + 24*b*d*e^2*n*x^4 + 6*b*d^2*e*n*x^2 - b*d^3*n)*log(x))*sqrt(e*x^2 + d))/(d^4*e^2*x^7 + 2*d^5*e*x^5 + d^6*x^3)]","A",0
309,1,125,0,0.570742," ","integrate(x^3*(a+b*log(c*x^n))/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","\frac{6 \, b d^{3} n \log\left(\frac{\sqrt{e x + d} \sqrt{-e x + d} - d}{x}\right) + {\left(5 \, b d^{2} n - 6 \, a d^{2} + {\left(b e^{2} n - 3 \, a e^{2}\right)} x^{2} - 3 \, {\left(b e^{2} x^{2} + 2 \, b d^{2}\right)} \log\left(c\right) - 3 \, {\left(b e^{2} n x^{2} + 2 \, b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x + d} \sqrt{-e x + d}}{9 \, e^{4}}"," ",0,"1/9*(6*b*d^3*n*log((sqrt(e*x + d)*sqrt(-e*x + d) - d)/x) + (5*b*d^2*n - 6*a*d^2 + (b*e^2*n - 3*a*e^2)*x^2 - 3*(b*e^2*x^2 + 2*b*d^2)*log(c) - 3*(b*e^2*n*x^2 + 2*b*d^2*n)*log(x))*sqrt(e*x + d)*sqrt(-e*x + d))/e^4","A",0
310,1,66,0,0.637982," ","integrate(x*(a+b*log(c*x^n))/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","\frac{b d n \log\left(\frac{\sqrt{e x + d} \sqrt{-e x + d} - d}{x}\right) - {\left(b n \log\left(x\right) - b n + b \log\left(c\right) + a\right)} \sqrt{e x + d} \sqrt{-e x + d}}{e^{2}}"," ",0,"(b*d*n*log((sqrt(e*x + d)*sqrt(-e*x + d) - d)/x) - (b*n*log(x) - b*n + b*log(c) + a)*sqrt(e*x + d)*sqrt(-e*x + d))/e^2","A",0
311,0,0,0,0.692722," ","integrate((a+b*log(c*x^n))/x/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{e x + d} \sqrt{-e x + d} b \log\left(c x^{n}\right) + \sqrt{e x + d} \sqrt{-e x + d} a}{e^{2} x^{3} - d^{2} x}, x\right)"," ",0,"integral(-(sqrt(e*x + d)*sqrt(-e*x + d)*b*log(c*x^n) + sqrt(e*x + d)*sqrt(-e*x + d)*a)/(e^2*x^3 - d^2*x), x)","F",0
312,0,0,0,0.591757," ","integrate((a+b*log(c*x^n))/x^3/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{e x + d} \sqrt{-e x + d} b \log\left(c x^{n}\right) + \sqrt{e x + d} \sqrt{-e x + d} a}{e^{2} x^{5} - d^{2} x^{3}}, x\right)"," ",0,"integral(-(sqrt(e*x + d)*sqrt(-e*x + d)*b*log(c*x^n) + sqrt(e*x + d)*sqrt(-e*x + d)*a)/(e^2*x^5 - d^2*x^3), x)","F",0
313,0,0,0,0.885599," ","integrate(x^2*(a+b*log(c*x^n))/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{e x + d} \sqrt{-e x + d} b x^{2} \log\left(c x^{n}\right) + \sqrt{e x + d} \sqrt{-e x + d} a x^{2}}{e^{2} x^{2} - d^{2}}, x\right)"," ",0,"integral(-(sqrt(e*x + d)*sqrt(-e*x + d)*b*x^2*log(c*x^n) + sqrt(e*x + d)*sqrt(-e*x + d)*a*x^2)/(e^2*x^2 - d^2), x)","F",0
314,0,0,0,0.661364," ","integrate((a+b*log(c*x^n))/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{e x + d} \sqrt{-e x + d} b \log\left(c x^{n}\right) + \sqrt{e x + d} \sqrt{-e x + d} a}{e^{2} x^{2} - d^{2}}, x\right)"," ",0,"integral(-(sqrt(e*x + d)*sqrt(-e*x + d)*b*log(c*x^n) + sqrt(e*x + d)*sqrt(-e*x + d)*a)/(e^2*x^2 - d^2), x)","F",0
315,1,73,0,0.575238," ","integrate((a+b*log(c*x^n))/x^2/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","\frac{2 \, b e n x \arctan\left(\frac{\sqrt{e x + d} \sqrt{-e x + d} - d}{e x}\right) - {\left(b n \log\left(x\right) + b n + b \log\left(c\right) + a\right)} \sqrt{e x + d} \sqrt{-e x + d}}{d^{2} x}"," ",0,"(2*b*e*n*x*arctan((sqrt(e*x + d)*sqrt(-e*x + d) - d)/(e*x)) - (b*n*log(x) + b*n + b*log(c) + a)*sqrt(e*x + d)*sqrt(-e*x + d))/(d^2*x)","A",0
316,1,135,0,0.581749," ","integrate((a+b*log(c*x^n))/x^4/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""fricas"")","\frac{12 \, b e^{3} n x^{3} \arctan\left(\frac{\sqrt{e x + d} \sqrt{-e x + d} - d}{e x}\right) - {\left(b d^{2} n + 3 \, a d^{2} + {\left(5 \, b e^{2} n + 6 \, a e^{2}\right)} x^{2} + 3 \, {\left(2 \, b e^{2} x^{2} + b d^{2}\right)} \log\left(c\right) + 3 \, {\left(2 \, b e^{2} n x^{2} + b d^{2} n\right)} \log\left(x\right)\right)} \sqrt{e x + d} \sqrt{-e x + d}}{9 \, d^{4} x^{3}}"," ",0,"1/9*(12*b*e^3*n*x^3*arctan((sqrt(e*x + d)*sqrt(-e*x + d) - d)/(e*x)) - (b*d^2*n + 3*a*d^2 + (5*b*e^2*n + 6*a*e^2)*x^2 + 3*(2*b*e^2*x^2 + b*d^2)*log(c) + 3*(2*b*e^2*n*x^2 + b*d^2*n)*log(x))*sqrt(e*x + d)*sqrt(-e*x + d))/(d^4*x^3)","A",0
317,1,27,0,0.674814," ","integrate(x*log(x)/(x^2-1)^(1/2),x, algorithm=""fricas"")","\sqrt{x^{2} - 1} {\left(\log\left(x\right) - 1\right)} + 2 \, \arctan\left(-x + \sqrt{x^{2} - 1}\right)"," ",0,"sqrt(x^2 - 1)*(log(x) - 1) + 2*arctan(-x + sqrt(x^2 - 1))","A",0
318,1,1222,0,0.612106," ","integrate((f*x)^m*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left({\left(a e^{3} m^{7} + 25 \, a e^{3} m^{6} + 253 \, a e^{3} m^{5} + 1333 \, a e^{3} m^{4} + 3907 \, a e^{3} m^{3} + 6283 \, a e^{3} m^{2} + 5055 \, a e^{3} m + 1575 \, a e^{3} - {\left(b e^{3} m^{6} + 18 \, b e^{3} m^{5} + 127 \, b e^{3} m^{4} + 444 \, b e^{3} m^{3} + 799 \, b e^{3} m^{2} + 690 \, b e^{3} m + 225 \, b e^{3}\right)} n\right)} x^{7} + 3 \, {\left(a d e^{2} m^{7} + 27 \, a d e^{2} m^{6} + 293 \, a d e^{2} m^{5} + 1639 \, a d e^{2} m^{4} + 5043 \, a d e^{2} m^{3} + 8417 \, a d e^{2} m^{2} + 6951 \, a d e^{2} m + 2205 \, a d e^{2} - {\left(b d e^{2} m^{6} + 22 \, b d e^{2} m^{5} + 183 \, b d e^{2} m^{4} + 724 \, b d e^{2} m^{3} + 1423 \, b d e^{2} m^{2} + 1302 \, b d e^{2} m + 441 \, b d e^{2}\right)} n\right)} x^{5} + 3 \, {\left(a d^{2} e m^{7} + 29 \, a d^{2} e m^{6} + 341 \, a d^{2} e m^{5} + 2081 \, a d^{2} e m^{4} + 6995 \, a d^{2} e m^{3} + 12647 \, a d^{2} e m^{2} + 11095 \, a d^{2} e m + 3675 \, a d^{2} e - {\left(b d^{2} e m^{6} + 26 \, b d^{2} e m^{5} + 263 \, b d^{2} e m^{4} + 1292 \, b d^{2} e m^{3} + 3119 \, b d^{2} e m^{2} + 3290 \, b d^{2} e m + 1225 \, b d^{2} e\right)} n\right)} x^{3} + {\left(a d^{3} m^{7} + 31 \, a d^{3} m^{6} + 397 \, a d^{3} m^{5} + 2707 \, a d^{3} m^{4} + 10531 \, a d^{3} m^{3} + 23101 \, a d^{3} m^{2} + 25935 \, a d^{3} m + 11025 \, a d^{3} - {\left(b d^{3} m^{6} + 30 \, b d^{3} m^{5} + 367 \, b d^{3} m^{4} + 2340 \, b d^{3} m^{3} + 8191 \, b d^{3} m^{2} + 14910 \, b d^{3} m + 11025 \, b d^{3}\right)} n\right)} x + {\left({\left(b e^{3} m^{7} + 25 \, b e^{3} m^{6} + 253 \, b e^{3} m^{5} + 1333 \, b e^{3} m^{4} + 3907 \, b e^{3} m^{3} + 6283 \, b e^{3} m^{2} + 5055 \, b e^{3} m + 1575 \, b e^{3}\right)} x^{7} + 3 \, {\left(b d e^{2} m^{7} + 27 \, b d e^{2} m^{6} + 293 \, b d e^{2} m^{5} + 1639 \, b d e^{2} m^{4} + 5043 \, b d e^{2} m^{3} + 8417 \, b d e^{2} m^{2} + 6951 \, b d e^{2} m + 2205 \, b d e^{2}\right)} x^{5} + 3 \, {\left(b d^{2} e m^{7} + 29 \, b d^{2} e m^{6} + 341 \, b d^{2} e m^{5} + 2081 \, b d^{2} e m^{4} + 6995 \, b d^{2} e m^{3} + 12647 \, b d^{2} e m^{2} + 11095 \, b d^{2} e m + 3675 \, b d^{2} e\right)} x^{3} + {\left(b d^{3} m^{7} + 31 \, b d^{3} m^{6} + 397 \, b d^{3} m^{5} + 2707 \, b d^{3} m^{4} + 10531 \, b d^{3} m^{3} + 23101 \, b d^{3} m^{2} + 25935 \, b d^{3} m + 11025 \, b d^{3}\right)} x\right)} \log\left(c\right) + {\left({\left(b e^{3} m^{7} + 25 \, b e^{3} m^{6} + 253 \, b e^{3} m^{5} + 1333 \, b e^{3} m^{4} + 3907 \, b e^{3} m^{3} + 6283 \, b e^{3} m^{2} + 5055 \, b e^{3} m + 1575 \, b e^{3}\right)} n x^{7} + 3 \, {\left(b d e^{2} m^{7} + 27 \, b d e^{2} m^{6} + 293 \, b d e^{2} m^{5} + 1639 \, b d e^{2} m^{4} + 5043 \, b d e^{2} m^{3} + 8417 \, b d e^{2} m^{2} + 6951 \, b d e^{2} m + 2205 \, b d e^{2}\right)} n x^{5} + 3 \, {\left(b d^{2} e m^{7} + 29 \, b d^{2} e m^{6} + 341 \, b d^{2} e m^{5} + 2081 \, b d^{2} e m^{4} + 6995 \, b d^{2} e m^{3} + 12647 \, b d^{2} e m^{2} + 11095 \, b d^{2} e m + 3675 \, b d^{2} e\right)} n x^{3} + {\left(b d^{3} m^{7} + 31 \, b d^{3} m^{6} + 397 \, b d^{3} m^{5} + 2707 \, b d^{3} m^{4} + 10531 \, b d^{3} m^{3} + 23101 \, b d^{3} m^{2} + 25935 \, b d^{3} m + 11025 \, b d^{3}\right)} n x\right)} \log\left(x\right)\right)} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)}}{m^{8} + 32 \, m^{7} + 428 \, m^{6} + 3104 \, m^{5} + 13238 \, m^{4} + 33632 \, m^{3} + 49036 \, m^{2} + 36960 \, m + 11025}"," ",0,"((a*e^3*m^7 + 25*a*e^3*m^6 + 253*a*e^3*m^5 + 1333*a*e^3*m^4 + 3907*a*e^3*m^3 + 6283*a*e^3*m^2 + 5055*a*e^3*m + 1575*a*e^3 - (b*e^3*m^6 + 18*b*e^3*m^5 + 127*b*e^3*m^4 + 444*b*e^3*m^3 + 799*b*e^3*m^2 + 690*b*e^3*m + 225*b*e^3)*n)*x^7 + 3*(a*d*e^2*m^7 + 27*a*d*e^2*m^6 + 293*a*d*e^2*m^5 + 1639*a*d*e^2*m^4 + 5043*a*d*e^2*m^3 + 8417*a*d*e^2*m^2 + 6951*a*d*e^2*m + 2205*a*d*e^2 - (b*d*e^2*m^6 + 22*b*d*e^2*m^5 + 183*b*d*e^2*m^4 + 724*b*d*e^2*m^3 + 1423*b*d*e^2*m^2 + 1302*b*d*e^2*m + 441*b*d*e^2)*n)*x^5 + 3*(a*d^2*e*m^7 + 29*a*d^2*e*m^6 + 341*a*d^2*e*m^5 + 2081*a*d^2*e*m^4 + 6995*a*d^2*e*m^3 + 12647*a*d^2*e*m^2 + 11095*a*d^2*e*m + 3675*a*d^2*e - (b*d^2*e*m^6 + 26*b*d^2*e*m^5 + 263*b*d^2*e*m^4 + 1292*b*d^2*e*m^3 + 3119*b*d^2*e*m^2 + 3290*b*d^2*e*m + 1225*b*d^2*e)*n)*x^3 + (a*d^3*m^7 + 31*a*d^3*m^6 + 397*a*d^3*m^5 + 2707*a*d^3*m^4 + 10531*a*d^3*m^3 + 23101*a*d^3*m^2 + 25935*a*d^3*m + 11025*a*d^3 - (b*d^3*m^6 + 30*b*d^3*m^5 + 367*b*d^3*m^4 + 2340*b*d^3*m^3 + 8191*b*d^3*m^2 + 14910*b*d^3*m + 11025*b*d^3)*n)*x + ((b*e^3*m^7 + 25*b*e^3*m^6 + 253*b*e^3*m^5 + 1333*b*e^3*m^4 + 3907*b*e^3*m^3 + 6283*b*e^3*m^2 + 5055*b*e^3*m + 1575*b*e^3)*x^7 + 3*(b*d*e^2*m^7 + 27*b*d*e^2*m^6 + 293*b*d*e^2*m^5 + 1639*b*d*e^2*m^4 + 5043*b*d*e^2*m^3 + 8417*b*d*e^2*m^2 + 6951*b*d*e^2*m + 2205*b*d*e^2)*x^5 + 3*(b*d^2*e*m^7 + 29*b*d^2*e*m^6 + 341*b*d^2*e*m^5 + 2081*b*d^2*e*m^4 + 6995*b*d^2*e*m^3 + 12647*b*d^2*e*m^2 + 11095*b*d^2*e*m + 3675*b*d^2*e)*x^3 + (b*d^3*m^7 + 31*b*d^3*m^6 + 397*b*d^3*m^5 + 2707*b*d^3*m^4 + 10531*b*d^3*m^3 + 23101*b*d^3*m^2 + 25935*b*d^3*m + 11025*b*d^3)*x)*log(c) + ((b*e^3*m^7 + 25*b*e^3*m^6 + 253*b*e^3*m^5 + 1333*b*e^3*m^4 + 3907*b*e^3*m^3 + 6283*b*e^3*m^2 + 5055*b*e^3*m + 1575*b*e^3)*n*x^7 + 3*(b*d*e^2*m^7 + 27*b*d*e^2*m^6 + 293*b*d*e^2*m^5 + 1639*b*d*e^2*m^4 + 5043*b*d*e^2*m^3 + 8417*b*d*e^2*m^2 + 6951*b*d*e^2*m + 2205*b*d*e^2)*n*x^5 + 3*(b*d^2*e*m^7 + 29*b*d^2*e*m^6 + 341*b*d^2*e*m^5 + 2081*b*d^2*e*m^4 + 6995*b*d^2*e*m^3 + 12647*b*d^2*e*m^2 + 11095*b*d^2*e*m + 3675*b*d^2*e)*n*x^3 + (b*d^3*m^7 + 31*b*d^3*m^6 + 397*b*d^3*m^5 + 2707*b*d^3*m^4 + 10531*b*d^3*m^3 + 23101*b*d^3*m^2 + 25935*b*d^3*m + 11025*b*d^3)*n*x)*log(x))*e^(m*log(f) + m*log(x))/(m^8 + 32*m^7 + 428*m^6 + 3104*m^5 + 13238*m^4 + 33632*m^3 + 49036*m^2 + 36960*m + 11025)","B",0
319,1,633,0,0.721184," ","integrate((f*x)^m*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left({\left(a e^{2} m^{5} + 13 \, a e^{2} m^{4} + 62 \, a e^{2} m^{3} + 134 \, a e^{2} m^{2} + 129 \, a e^{2} m + 45 \, a e^{2} - {\left(b e^{2} m^{4} + 8 \, b e^{2} m^{3} + 22 \, b e^{2} m^{2} + 24 \, b e^{2} m + 9 \, b e^{2}\right)} n\right)} x^{5} + 2 \, {\left(a d e m^{5} + 15 \, a d e m^{4} + 82 \, a d e m^{3} + 198 \, a d e m^{2} + 205 \, a d e m + 75 \, a d e - {\left(b d e m^{4} + 12 \, b d e m^{3} + 46 \, b d e m^{2} + 60 \, b d e m + 25 \, b d e\right)} n\right)} x^{3} + {\left(a d^{2} m^{5} + 17 \, a d^{2} m^{4} + 110 \, a d^{2} m^{3} + 334 \, a d^{2} m^{2} + 465 \, a d^{2} m + 225 \, a d^{2} - {\left(b d^{2} m^{4} + 16 \, b d^{2} m^{3} + 94 \, b d^{2} m^{2} + 240 \, b d^{2} m + 225 \, b d^{2}\right)} n\right)} x + {\left({\left(b e^{2} m^{5} + 13 \, b e^{2} m^{4} + 62 \, b e^{2} m^{3} + 134 \, b e^{2} m^{2} + 129 \, b e^{2} m + 45 \, b e^{2}\right)} x^{5} + 2 \, {\left(b d e m^{5} + 15 \, b d e m^{4} + 82 \, b d e m^{3} + 198 \, b d e m^{2} + 205 \, b d e m + 75 \, b d e\right)} x^{3} + {\left(b d^{2} m^{5} + 17 \, b d^{2} m^{4} + 110 \, b d^{2} m^{3} + 334 \, b d^{2} m^{2} + 465 \, b d^{2} m + 225 \, b d^{2}\right)} x\right)} \log\left(c\right) + {\left({\left(b e^{2} m^{5} + 13 \, b e^{2} m^{4} + 62 \, b e^{2} m^{3} + 134 \, b e^{2} m^{2} + 129 \, b e^{2} m + 45 \, b e^{2}\right)} n x^{5} + 2 \, {\left(b d e m^{5} + 15 \, b d e m^{4} + 82 \, b d e m^{3} + 198 \, b d e m^{2} + 205 \, b d e m + 75 \, b d e\right)} n x^{3} + {\left(b d^{2} m^{5} + 17 \, b d^{2} m^{4} + 110 \, b d^{2} m^{3} + 334 \, b d^{2} m^{2} + 465 \, b d^{2} m + 225 \, b d^{2}\right)} n x\right)} \log\left(x\right)\right)} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)}}{m^{6} + 18 \, m^{5} + 127 \, m^{4} + 444 \, m^{3} + 799 \, m^{2} + 690 \, m + 225}"," ",0,"((a*e^2*m^5 + 13*a*e^2*m^4 + 62*a*e^2*m^3 + 134*a*e^2*m^2 + 129*a*e^2*m + 45*a*e^2 - (b*e^2*m^4 + 8*b*e^2*m^3 + 22*b*e^2*m^2 + 24*b*e^2*m + 9*b*e^2)*n)*x^5 + 2*(a*d*e*m^5 + 15*a*d*e*m^4 + 82*a*d*e*m^3 + 198*a*d*e*m^2 + 205*a*d*e*m + 75*a*d*e - (b*d*e*m^4 + 12*b*d*e*m^3 + 46*b*d*e*m^2 + 60*b*d*e*m + 25*b*d*e)*n)*x^3 + (a*d^2*m^5 + 17*a*d^2*m^4 + 110*a*d^2*m^3 + 334*a*d^2*m^2 + 465*a*d^2*m + 225*a*d^2 - (b*d^2*m^4 + 16*b*d^2*m^3 + 94*b*d^2*m^2 + 240*b*d^2*m + 225*b*d^2)*n)*x + ((b*e^2*m^5 + 13*b*e^2*m^4 + 62*b*e^2*m^3 + 134*b*e^2*m^2 + 129*b*e^2*m + 45*b*e^2)*x^5 + 2*(b*d*e*m^5 + 15*b*d*e*m^4 + 82*b*d*e*m^3 + 198*b*d*e*m^2 + 205*b*d*e*m + 75*b*d*e)*x^3 + (b*d^2*m^5 + 17*b*d^2*m^4 + 110*b*d^2*m^3 + 334*b*d^2*m^2 + 465*b*d^2*m + 225*b*d^2)*x)*log(c) + ((b*e^2*m^5 + 13*b*e^2*m^4 + 62*b*e^2*m^3 + 134*b*e^2*m^2 + 129*b*e^2*m + 45*b*e^2)*n*x^5 + 2*(b*d*e*m^5 + 15*b*d*e*m^4 + 82*b*d*e*m^3 + 198*b*d*e*m^2 + 205*b*d*e*m + 75*b*d*e)*n*x^3 + (b*d^2*m^5 + 17*b*d^2*m^4 + 110*b*d^2*m^3 + 334*b*d^2*m^2 + 465*b*d^2*m + 225*b*d^2)*n*x)*log(x))*e^(m*log(f) + m*log(x))/(m^6 + 18*m^5 + 127*m^4 + 444*m^3 + 799*m^2 + 690*m + 225)","B",0
320,1,235,0,0.717128," ","integrate((f*x)^m*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left({\left(a e m^{3} + 5 \, a e m^{2} + 7 \, a e m + 3 \, a e - {\left(b e m^{2} + 2 \, b e m + b e\right)} n\right)} x^{3} + {\left(a d m^{3} + 7 \, a d m^{2} + 15 \, a d m + 9 \, a d - {\left(b d m^{2} + 6 \, b d m + 9 \, b d\right)} n\right)} x + {\left({\left(b e m^{3} + 5 \, b e m^{2} + 7 \, b e m + 3 \, b e\right)} x^{3} + {\left(b d m^{3} + 7 \, b d m^{2} + 15 \, b d m + 9 \, b d\right)} x\right)} \log\left(c\right) + {\left({\left(b e m^{3} + 5 \, b e m^{2} + 7 \, b e m + 3 \, b e\right)} n x^{3} + {\left(b d m^{3} + 7 \, b d m^{2} + 15 \, b d m + 9 \, b d\right)} n x\right)} \log\left(x\right)\right)} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)}}{m^{4} + 8 \, m^{3} + 22 \, m^{2} + 24 \, m + 9}"," ",0,"((a*e*m^3 + 5*a*e*m^2 + 7*a*e*m + 3*a*e - (b*e*m^2 + 2*b*e*m + b*e)*n)*x^3 + (a*d*m^3 + 7*a*d*m^2 + 15*a*d*m + 9*a*d - (b*d*m^2 + 6*b*d*m + 9*b*d)*n)*x + ((b*e*m^3 + 5*b*e*m^2 + 7*b*e*m + 3*b*e)*x^3 + (b*d*m^3 + 7*b*d*m^2 + 15*b*d*m + 9*b*d)*x)*log(c) + ((b*e*m^3 + 5*b*e*m^2 + 7*b*e*m + 3*b*e)*n*x^3 + (b*d*m^3 + 7*b*d*m^2 + 15*b*d*m + 9*b*d)*n*x)*log(x))*e^(m*log(f) + m*log(x))/(m^4 + 8*m^3 + 22*m^2 + 24*m + 9)","B",0
321,1,52,0,0.664685," ","integrate((f*x)^m*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left({\left(b m + b\right)} n x \log\left(x\right) + {\left(b m + b\right)} x \log\left(c\right) + {\left(a m - b n + a\right)} x\right)} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)}}{m^{2} + 2 \, m + 1}"," ",0,"((b*m + b)*n*x*log(x) + (b*m + b)*x*log(c) + (a*m - b*n + a)*x)*e^(m*log(f) + m*log(x))/(m^2 + 2*m + 1)","A",0
322,0,0,0,0.846111," ","integrate((f*x)^m*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(f x\right)^{m} b \log\left(c x^{n}\right) + \left(f x\right)^{m} a}{e x^{2} + d}, x\right)"," ",0,"integral(((f*x)^m*b*log(c*x^n) + (f*x)^m*a)/(e*x^2 + d), x)","F",0
323,0,0,0,0.806176," ","integrate((f*x)^m*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(f x\right)^{m} b \log\left(c x^{n}\right) + \left(f x\right)^{m} a}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}, x\right)"," ",0,"integral(((f*x)^m*b*log(c*x^n) + (f*x)^m*a)/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
324,0,0,0,0.762846," ","integrate((a+b*log(c*x^n))^3/(e*x^3+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{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}}{e^{2} x^{6} + 2 \, d e x^{3} + d^{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)/(e^2*x^6 + 2*d*e*x^3 + d^2), x)","F",0
325,0,0,0,0.824131," ","integrate((a+b*log(c*x^n))^2/(e*x^3+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \log\left(c x^{n}\right)^{2} + 2 \, a b \log\left(c x^{n}\right) + a^{2}}{e^{2} x^{6} + 2 \, d e x^{3} + d^{2}}, x\right)"," ",0,"integral((b^2*log(c*x^n)^2 + 2*a*b*log(c*x^n) + a^2)/(e^2*x^6 + 2*d*e*x^3 + d^2), x)","F",0
326,0,0,0,0.896421," ","integrate((a+b*log(c*x^n))/(e*x^3+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{2} x^{6} + 2 \, d e x^{3} + d^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^2*x^6 + 2*d*e*x^3 + d^2), x)","F",0
327,0,0,0,0.881039," ","integrate(1/(e*x^3+d)^2/(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a e^{2} x^{6} + 2 \, a d e x^{3} + a d^{2} + {\left(b e^{2} x^{6} + 2 \, b d e x^{3} + b d^{2}\right)} \log\left(c x^{n}\right)}, x\right)"," ",0,"integral(1/(a*e^2*x^6 + 2*a*d*e*x^3 + a*d^2 + (b*e^2*x^6 + 2*b*d*e*x^3 + b*d^2)*log(c*x^n)), x)","F",0
328,0,0,0,0.956207," ","integrate(1/(e*x^3+d)^2/(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} e^{2} x^{6} + 2 \, a^{2} d e x^{3} + a^{2} d^{2} + {\left(b^{2} e^{2} x^{6} + 2 \, b^{2} d e x^{3} + b^{2} d^{2}\right)} \log\left(c x^{n}\right)^{2} + 2 \, {\left(a b e^{2} x^{6} + 2 \, a b d e x^{3} + a b d^{2}\right)} \log\left(c x^{n}\right)}, x\right)"," ",0,"integral(1/(a^2*e^2*x^6 + 2*a^2*d*e*x^3 + a^2*d^2 + (b^2*e^2*x^6 + 2*b^2*d*e*x^3 + b^2*d^2)*log(c*x^n)^2 + 2*(a*b*e^2*x^6 + 2*a*b*d*e*x^3 + a*b*d^2)*log(c*x^n)), x)","F",0
329,0,0,0,0.757838," ","integrate(x^3*(a+b*log(c*x^n))/(d+e/x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \log\left(c x^{n}\right) + a x^{4}}{d x + e}, x\right)"," ",0,"integral((b*x^4*log(c*x^n) + a*x^4)/(d*x + e), x)","F",0
330,0,0,0,0.887884," ","integrate(x^2*(a+b*log(c*x^n))/(d+e/x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left(c x^{n}\right) + a x^{3}}{d x + e}, x\right)"," ",0,"integral((b*x^3*log(c*x^n) + a*x^3)/(d*x + e), x)","F",0
331,0,0,0,0.798826," ","integrate(x*(a+b*log(c*x^n))/(d+e/x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left(c x^{n}\right) + a x^{2}}{d x + e}, x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)/(d*x + e), x)","F",0
332,0,0,0,0.916343," ","integrate((a+b*log(c*x^n))/(d+e/x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x \log\left(c x^{n}\right) + a x}{d x + e}, x\right)"," ",0,"integral((b*x*log(c*x^n) + a*x)/(d*x + e), x)","F",0
333,0,0,0,1.092144," ","integrate((a+b*log(c*x^n))/(d+e/x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{d x + e}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(d*x + e), x)","F",0
334,0,0,0,0.807538," ","integrate((a+b*log(c*x^n))/(d+e/x)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{d x^{2} + e x}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(d*x^2 + e*x), x)","F",0
335,0,0,0,0.934786," ","integrate((a+b*log(c*x^n))/(d+e/x)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{d x^{3} + e x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(d*x^3 + e*x^2), x)","F",0
336,0,0,0,0.962231," ","integrate((a+b*log(c*x^n))/(d+e/x)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{d x^{4} + e x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(d*x^4 + e*x^3), x)","F",0
337,0,0,0,0.893027," ","integrate(x^3*(a+b*log(c*x))/(d+e/x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{4} \log\left(c x\right) + a x^{4}}{d x + e}, x\right)"," ",0,"integral((b*x^4*log(c*x) + a*x^4)/(d*x + e), x)","F",0
338,0,0,0,0.719036," ","integrate(x^2*(a+b*log(c*x))/(d+e/x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left(c x\right) + a x^{3}}{d x + e}, x\right)"," ",0,"integral((b*x^3*log(c*x) + a*x^3)/(d*x + e), x)","F",0
339,0,0,0,0.932356," ","integrate(x*(a+b*log(c*x))/(d+e/x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left(c x\right) + a x^{2}}{d x + e}, x\right)"," ",0,"integral((b*x^2*log(c*x) + a*x^2)/(d*x + e), x)","F",0
340,0,0,0,0.824889," ","integrate((a+b*log(c*x))/(d+e/x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x \log\left(c x\right) + a x}{d x + e}, x\right)"," ",0,"integral((b*x*log(c*x) + a*x)/(d*x + e), x)","F",0
341,0,0,0,0.927627," ","integrate((a+b*log(c*x))/(d+e/x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x\right) + a}{d x + e}, x\right)"," ",0,"integral((b*log(c*x) + a)/(d*x + e), x)","F",0
342,0,0,0,1.198214," ","integrate((a+b*log(c*x))/(d+e/x)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x\right) + a}{d x^{2} + e x}, x\right)"," ",0,"integral((b*log(c*x) + a)/(d*x^2 + e*x), x)","F",0
343,0,0,0,0.889732," ","integrate((a+b*log(c*x))/(d+e/x)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x\right) + a}{d x^{3} + e x^{2}}, x\right)"," ",0,"integral((b*log(c*x) + a)/(d*x^3 + e*x^2), x)","F",0
344,0,0,0,0.916493," ","integrate((a+b*log(c*x))/(d+e/x)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x\right) + a}{d x^{4} + e x^{3}}, x\right)"," ",0,"integral((b*log(c*x) + a)/(d*x^4 + e*x^3), x)","F",0
345,1,39,0,0.890365," ","integrate(x^(-1+n)*log(e*x^n)/(1-e*x^n),x, algorithm=""fricas"")","-\frac{n \log\left(-e x^{n} + 1\right) \log\left(x\right) + \log\left(e x^{n} - 1\right) \log\left(e\right) + {\rm Li}_2\left(e x^{n}\right)}{e n}"," ",0,"-(n*log(-e*x^n + 1)*log(x) + log(e*x^n - 1)*log(e) + dilog(e*x^n))/(e*n)","B",0
346,1,50,0,0.682394," ","integrate(x^(-1+n)*log(x^n/d)/(d-x^n),x, algorithm=""fricas"")","-\frac{n \log\left(x\right) \log\left(\frac{d - x^{n}}{d}\right) + \log\left(-d + x^{n}\right) \log\left(\frac{1}{d}\right) + {\rm Li}_2\left(-\frac{d - x^{n}}{d} + 1\right)}{n}"," ",0,"-(n*log(x)*log((d - x^n)/d) + log(-d + x^n)*log(1/d) + dilog(-(d - x^n)/d + 1))/n","B",0
347,1,55,0,0.869086," ","integrate(x^(-1+n)*log(-e*x^n/d)/(d+e*x^n),x, algorithm=""fricas"")","\frac{n \log\left(x\right) \log\left(\frac{e x^{n} + d}{d}\right) + \log\left(e x^{n} + d\right) \log\left(-\frac{e}{d}\right) + {\rm Li}_2\left(-\frac{e x^{n} + d}{d} + 1\right)}{e n}"," ",0,"(n*log(x)*log((e*x^n + d)/d) + log(e*x^n + d)*log(-e/d) + dilog(-(e*x^n + d)/d + 1))/(e*n)","B",0
348,1,13,0,0.889123," ","integrate(log(a/x)/(a*x-x^2),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{a}{x} + 1\right)}{a}"," ",0,"dilog(-a/x + 1)/a","A",0
349,1,14,0,0.918679," ","integrate(log(a/x^2)/(-x^3+a*x),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{a}{x^{2}} + 1\right)}{2 \, a}"," ",0,"1/2*dilog(-a/x^2 + 1)/a","A",0
350,1,89,0,0.896349," ","integrate(log(a*x^(1-n))/(a*x-x^n),x, algorithm=""fricas"")","\frac{2 \, {\left(n - 1\right)} \log\left(a\right) \log\left(x\right) - {\left(n^{2} - 2 \, n + 1\right)} \log\left(x\right)^{2} + 2 \, {\left(n - 1\right)} \log\left(x\right) \log\left(\frac{a - x^{n - 1}}{a}\right) - 2 \, \log\left(a\right) \log\left(-a + x^{n - 1}\right) + 2 \, {\rm Li}_2\left(-\frac{a - x^{n - 1}}{a} + 1\right)}{2 \, {\left(a n - a\right)}}"," ",0,"1/2*(2*(n - 1)*log(a)*log(x) - (n^2 - 2*n + 1)*log(x)^2 + 2*(n - 1)*log(x)*log((a - x^(n - 1))/a) - 2*log(a)*log(-a + x^(n - 1)) + 2*dilog(-(a - x^(n - 1))/a + 1))/(a*n - a)","B",0
351,1,193,0,0.846546," ","integrate((f*x)^(-1+m)*(d+e*x^m)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{3 \, {\left(4 \, b e^{3} m n \log\left(x\right) + 4 \, b e^{3} m \log\left(c\right) + 4 \, a e^{3} m - b e^{3} n\right)} f^{m - 1} x^{4 \, m} + 16 \, {\left(3 \, b d e^{2} m n \log\left(x\right) + 3 \, b d e^{2} m \log\left(c\right) + 3 \, a d e^{2} m - b d e^{2} n\right)} f^{m - 1} x^{3 \, m} + 36 \, {\left(2 \, b d^{2} e m n \log\left(x\right) + 2 \, b d^{2} e m \log\left(c\right) + 2 \, a d^{2} e m - b d^{2} e n\right)} f^{m - 1} x^{2 \, m} + 48 \, {\left(b d^{3} m n \log\left(x\right) + b d^{3} m \log\left(c\right) + a d^{3} m - b d^{3} n\right)} f^{m - 1} x^{m}}{48 \, m^{2}}"," ",0,"1/48*(3*(4*b*e^3*m*n*log(x) + 4*b*e^3*m*log(c) + 4*a*e^3*m - b*e^3*n)*f^(m - 1)*x^(4*m) + 16*(3*b*d*e^2*m*n*log(x) + 3*b*d*e^2*m*log(c) + 3*a*d*e^2*m - b*d*e^2*n)*f^(m - 1)*x^(3*m) + 36*(2*b*d^2*e*m*n*log(x) + 2*b*d^2*e*m*log(c) + 2*a*d^2*e*m - b*d^2*e*n)*f^(m - 1)*x^(2*m) + 48*(b*d^3*m*n*log(x) + b*d^3*m*log(c) + a*d^3*m - b*d^3*n)*f^(m - 1)*x^m)/m^2","A",0
352,1,135,0,0.824709," ","integrate((f*x)^(-1+m)*(d+e*x^m)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b e^{2} m n \log\left(x\right) + 3 \, b e^{2} m \log\left(c\right) + 3 \, a e^{2} m - b e^{2} n\right)} f^{m - 1} x^{3 \, m} + 9 \, {\left(2 \, b d e m n \log\left(x\right) + 2 \, b d e m \log\left(c\right) + 2 \, a d e m - b d e n\right)} f^{m - 1} x^{2 \, m} + 18 \, {\left(b d^{2} m n \log\left(x\right) + b d^{2} m \log\left(c\right) + a d^{2} m - b d^{2} n\right)} f^{m - 1} x^{m}}{18 \, m^{2}}"," ",0,"1/18*(2*(3*b*e^2*m*n*log(x) + 3*b*e^2*m*log(c) + 3*a*e^2*m - b*e^2*n)*f^(m - 1)*x^(3*m) + 9*(2*b*d*e*m*n*log(x) + 2*b*d*e*m*log(c) + 2*a*d*e*m - b*d*e*n)*f^(m - 1)*x^(2*m) + 18*(b*d^2*m*n*log(x) + b*d^2*m*log(c) + a*d^2*m - b*d^2*n)*f^(m - 1)*x^m)/m^2","A",0
353,1,76,0,0.803514," ","integrate((f*x)^(-1+m)*(d+e*x^m)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left(2 \, b e m n \log\left(x\right) + 2 \, b e m \log\left(c\right) + 2 \, a e m - b e n\right)} f^{m - 1} x^{2 \, m} + 4 \, {\left(b d m n \log\left(x\right) + b d m \log\left(c\right) + a d m - b d n\right)} f^{m - 1} x^{m}}{4 \, m^{2}}"," ",0,"1/4*((2*b*e*m*n*log(x) + 2*b*e*m*log(c) + 2*a*e*m - b*e*n)*f^(m - 1)*x^(2*m) + 4*(b*d*m*n*log(x) + b*d*m*log(c) + a*d*m - b*d*n)*f^(m - 1)*x^m)/m^2","A",0
354,1,42,0,0.798503," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left(b m n x \log\left(x\right) + b m x \log\left(c\right) + {\left(a m - b n\right)} x\right)} e^{\left({\left(m - 1\right)} \log\left(f\right) + {\left(m - 1\right)} \log\left(x\right)\right)}}{m^{2}}"," ",0,"(b*m*n*x*log(x) + b*m*x*log(c) + (a*m - b*n)*x)*e^((m - 1)*log(f) + (m - 1)*log(x))/m^2","A",0
355,1,77,0,0.795007," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))/(d+e*x^m),x, algorithm=""fricas"")","\frac{b f^{m - 1} m n \log\left(x\right) \log\left(\frac{e x^{m} + d}{d}\right) + b f^{m - 1} n {\rm Li}_2\left(-\frac{e x^{m} + d}{d} + 1\right) + {\left(b m \log\left(c\right) + a m\right)} f^{m - 1} \log\left(e x^{m} + d\right)}{e m^{2}}"," ",0,"(b*f^(m - 1)*m*n*log(x)*log((e*x^m + d)/d) + b*f^(m - 1)*n*dilog(-(e*x^m + d)/d + 1) + (b*m*log(c) + a*m)*f^(m - 1)*log(e*x^m + d))/(e*m^2)","A",0
356,1,89,0,0.879929," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))/(d+e*x^m)^2,x, algorithm=""fricas"")","\frac{b e f^{m - 1} m n x^{m} \log\left(x\right) - {\left(b d m \log\left(c\right) + a d m\right)} f^{m - 1} - {\left(b e f^{m - 1} n x^{m} + b d f^{m - 1} n\right)} \log\left(e x^{m} + d\right)}{d e^{2} m^{2} x^{m} + d^{2} e m^{2}}"," ",0,"(b*e*f^(m - 1)*m*n*x^m*log(x) - (b*d*m*log(c) + a*d*m)*f^(m - 1) - (b*e*f^(m - 1)*n*x^m + b*d*f^(m - 1)*n)*log(e*x^m + d))/(d*e^2*m^2*x^m + d^2*e*m^2)","A",0
357,1,167,0,0.980519," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))/(d+e*x^m)^3,x, algorithm=""fricas"")","\frac{b e^{2} f^{m - 1} m n x^{2 \, m} \log\left(x\right) + {\left(2 \, b d e m n \log\left(x\right) + b d e n\right)} f^{m - 1} x^{m} - {\left(b d^{2} m \log\left(c\right) + a d^{2} m - b d^{2} n\right)} f^{m - 1} - {\left(b e^{2} f^{m - 1} n x^{2 \, m} + 2 \, b d e f^{m - 1} n x^{m} + b d^{2} f^{m - 1} n\right)} \log\left(e x^{m} + d\right)}{2 \, {\left(d^{2} e^{3} m^{2} x^{2 \, m} + 2 \, d^{3} e^{2} m^{2} x^{m} + d^{4} e m^{2}\right)}}"," ",0,"1/2*(b*e^2*f^(m - 1)*m*n*x^(2*m)*log(x) + (2*b*d*e*m*n*log(x) + b*d*e*n)*f^(m - 1)*x^m - (b*d^2*m*log(c) + a*d^2*m - b*d^2*n)*f^(m - 1) - (b*e^2*f^(m - 1)*n*x^(2*m) + 2*b*d*e*f^(m - 1)*n*x^m + b*d^2*f^(m - 1)*n)*log(e*x^m + d))/(d^2*e^3*m^2*x^(2*m) + 2*d^3*e^2*m^2*x^m + d^4*e*m^2)","A",0
358,1,242,0,0.724733," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))/(d+e*x^m)^4,x, algorithm=""fricas"")","\frac{2 \, b e^{3} f^{m - 1} m n x^{3 \, m} \log\left(x\right) + 2 \, {\left(3 \, b d e^{2} m n \log\left(x\right) + b d e^{2} n\right)} f^{m - 1} x^{2 \, m} + {\left(6 \, b d^{2} e m n \log\left(x\right) + 5 \, b d^{2} e n\right)} f^{m - 1} x^{m} - {\left(2 \, b d^{3} m \log\left(c\right) + 2 \, a d^{3} m - 3 \, b d^{3} n\right)} f^{m - 1} - 2 \, {\left(b e^{3} f^{m - 1} n x^{3 \, m} + 3 \, b d e^{2} f^{m - 1} n x^{2 \, m} + 3 \, b d^{2} e f^{m - 1} n x^{m} + b d^{3} f^{m - 1} n\right)} \log\left(e x^{m} + d\right)}{6 \, {\left(d^{3} e^{4} m^{2} x^{3 \, m} + 3 \, d^{4} e^{3} m^{2} x^{2 \, m} + 3 \, d^{5} e^{2} m^{2} x^{m} + d^{6} e m^{2}\right)}}"," ",0,"1/6*(2*b*e^3*f^(m - 1)*m*n*x^(3*m)*log(x) + 2*(3*b*d*e^2*m*n*log(x) + b*d*e^2*n)*f^(m - 1)*x^(2*m) + (6*b*d^2*e*m*n*log(x) + 5*b*d^2*e*n)*f^(m - 1)*x^m - (2*b*d^3*m*log(c) + 2*a*d^3*m - 3*b*d^3*n)*f^(m - 1) - 2*(b*e^3*f^(m - 1)*n*x^(3*m) + 3*b*d*e^2*f^(m - 1)*n*x^(2*m) + 3*b*d^2*e*f^(m - 1)*n*x^m + b*d^3*f^(m - 1)*n)*log(e*x^m + d))/(d^3*e^4*m^2*x^(3*m) + 3*d^4*e^3*m^2*x^(2*m) + 3*d^5*e^2*m^2*x^m + d^6*e*m^2)","A",0
359,1,592,0,0.835008," ","integrate((f*x)^(-1+m)*(d+e*x^m)^3*(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{9 \, {\left(8 \, b^{2} e^{3} m^{2} n^{2} \log\left(x\right)^{2} + 8 \, b^{2} e^{3} m^{2} \log\left(c\right)^{2} + 8 \, a^{2} e^{3} m^{2} - 4 \, a b e^{3} m n + b^{2} e^{3} n^{2} + 4 \, {\left(4 \, a b e^{3} m^{2} - b^{2} e^{3} m n\right)} \log\left(c\right) + 4 \, {\left(4 \, b^{2} e^{3} m^{2} n \log\left(c\right) + 4 \, a b e^{3} m^{2} n - b^{2} e^{3} m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{4 \, m} + 32 \, {\left(9 \, b^{2} d e^{2} m^{2} n^{2} \log\left(x\right)^{2} + 9 \, b^{2} d e^{2} m^{2} \log\left(c\right)^{2} + 9 \, a^{2} d e^{2} m^{2} - 6 \, a b d e^{2} m n + 2 \, b^{2} d e^{2} n^{2} + 6 \, {\left(3 \, a b d e^{2} m^{2} - b^{2} d e^{2} m n\right)} \log\left(c\right) + 6 \, {\left(3 \, b^{2} d e^{2} m^{2} n \log\left(c\right) + 3 \, a b d e^{2} m^{2} n - b^{2} d e^{2} m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{3 \, m} + 216 \, {\left(2 \, b^{2} d^{2} e m^{2} n^{2} \log\left(x\right)^{2} + 2 \, b^{2} d^{2} e m^{2} \log\left(c\right)^{2} + 2 \, a^{2} d^{2} e m^{2} - 2 \, a b d^{2} e m n + b^{2} d^{2} e n^{2} + 2 \, {\left(2 \, a b d^{2} e m^{2} - b^{2} d^{2} e m n\right)} \log\left(c\right) + 2 \, {\left(2 \, b^{2} d^{2} e m^{2} n \log\left(c\right) + 2 \, a b d^{2} e m^{2} n - b^{2} d^{2} e m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{2 \, m} + 288 \, {\left(b^{2} d^{3} m^{2} n^{2} \log\left(x\right)^{2} + b^{2} d^{3} m^{2} \log\left(c\right)^{2} + a^{2} d^{3} m^{2} - 2 \, a b d^{3} m n + 2 \, b^{2} d^{3} n^{2} + 2 \, {\left(a b d^{3} m^{2} - b^{2} d^{3} m n\right)} \log\left(c\right) + 2 \, {\left(b^{2} d^{3} m^{2} n \log\left(c\right) + a b d^{3} m^{2} n - b^{2} d^{3} m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{m}}{288 \, m^{3}}"," ",0,"1/288*(9*(8*b^2*e^3*m^2*n^2*log(x)^2 + 8*b^2*e^3*m^2*log(c)^2 + 8*a^2*e^3*m^2 - 4*a*b*e^3*m*n + b^2*e^3*n^2 + 4*(4*a*b*e^3*m^2 - b^2*e^3*m*n)*log(c) + 4*(4*b^2*e^3*m^2*n*log(c) + 4*a*b*e^3*m^2*n - b^2*e^3*m*n^2)*log(x))*f^(m - 1)*x^(4*m) + 32*(9*b^2*d*e^2*m^2*n^2*log(x)^2 + 9*b^2*d*e^2*m^2*log(c)^2 + 9*a^2*d*e^2*m^2 - 6*a*b*d*e^2*m*n + 2*b^2*d*e^2*n^2 + 6*(3*a*b*d*e^2*m^2 - b^2*d*e^2*m*n)*log(c) + 6*(3*b^2*d*e^2*m^2*n*log(c) + 3*a*b*d*e^2*m^2*n - b^2*d*e^2*m*n^2)*log(x))*f^(m - 1)*x^(3*m) + 216*(2*b^2*d^2*e*m^2*n^2*log(x)^2 + 2*b^2*d^2*e*m^2*log(c)^2 + 2*a^2*d^2*e*m^2 - 2*a*b*d^2*e*m*n + b^2*d^2*e*n^2 + 2*(2*a*b*d^2*e*m^2 - b^2*d^2*e*m*n)*log(c) + 2*(2*b^2*d^2*e*m^2*n*log(c) + 2*a*b*d^2*e*m^2*n - b^2*d^2*e*m*n^2)*log(x))*f^(m - 1)*x^(2*m) + 288*(b^2*d^3*m^2*n^2*log(x)^2 + b^2*d^3*m^2*log(c)^2 + a^2*d^3*m^2 - 2*a*b*d^3*m*n + 2*b^2*d^3*n^2 + 2*(a*b*d^3*m^2 - b^2*d^3*m*n)*log(c) + 2*(b^2*d^3*m^2*n*log(c) + a*b*d^3*m^2*n - b^2*d^3*m*n^2)*log(x))*f^(m - 1)*x^m)/m^3","A",0
360,1,419,0,0.859108," ","integrate((f*x)^(-1+m)*(d+e*x^m)^2*(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{2 \, {\left(9 \, b^{2} e^{2} m^{2} n^{2} \log\left(x\right)^{2} + 9 \, b^{2} e^{2} m^{2} \log\left(c\right)^{2} + 9 \, a^{2} e^{2} m^{2} - 6 \, a b e^{2} m n + 2 \, b^{2} e^{2} n^{2} + 6 \, {\left(3 \, a b e^{2} m^{2} - b^{2} e^{2} m n\right)} \log\left(c\right) + 6 \, {\left(3 \, b^{2} e^{2} m^{2} n \log\left(c\right) + 3 \, a b e^{2} m^{2} n - b^{2} e^{2} m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{3 \, m} + 27 \, {\left(2 \, b^{2} d e m^{2} n^{2} \log\left(x\right)^{2} + 2 \, b^{2} d e m^{2} \log\left(c\right)^{2} + 2 \, a^{2} d e m^{2} - 2 \, a b d e m n + b^{2} d e n^{2} + 2 \, {\left(2 \, a b d e m^{2} - b^{2} d e m n\right)} \log\left(c\right) + 2 \, {\left(2 \, b^{2} d e m^{2} n \log\left(c\right) + 2 \, a b d e m^{2} n - b^{2} d e m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{2 \, m} + 54 \, {\left(b^{2} d^{2} m^{2} n^{2} \log\left(x\right)^{2} + b^{2} d^{2} m^{2} \log\left(c\right)^{2} + a^{2} d^{2} m^{2} - 2 \, a b d^{2} m n + 2 \, b^{2} d^{2} n^{2} + 2 \, {\left(a b d^{2} m^{2} - b^{2} d^{2} m n\right)} \log\left(c\right) + 2 \, {\left(b^{2} d^{2} m^{2} n \log\left(c\right) + a b d^{2} m^{2} n - b^{2} d^{2} m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{m}}{54 \, m^{3}}"," ",0,"1/54*(2*(9*b^2*e^2*m^2*n^2*log(x)^2 + 9*b^2*e^2*m^2*log(c)^2 + 9*a^2*e^2*m^2 - 6*a*b*e^2*m*n + 2*b^2*e^2*n^2 + 6*(3*a*b*e^2*m^2 - b^2*e^2*m*n)*log(c) + 6*(3*b^2*e^2*m^2*n*log(c) + 3*a*b*e^2*m^2*n - b^2*e^2*m*n^2)*log(x))*f^(m - 1)*x^(3*m) + 27*(2*b^2*d*e*m^2*n^2*log(x)^2 + 2*b^2*d*e*m^2*log(c)^2 + 2*a^2*d*e*m^2 - 2*a*b*d*e*m*n + b^2*d*e*n^2 + 2*(2*a*b*d*e*m^2 - b^2*d*e*m*n)*log(c) + 2*(2*b^2*d*e*m^2*n*log(c) + 2*a*b*d*e*m^2*n - b^2*d*e*m*n^2)*log(x))*f^(m - 1)*x^(2*m) + 54*(b^2*d^2*m^2*n^2*log(x)^2 + b^2*d^2*m^2*log(c)^2 + a^2*d^2*m^2 - 2*a*b*d^2*m*n + 2*b^2*d^2*n^2 + 2*(a*b*d^2*m^2 - b^2*d^2*m*n)*log(c) + 2*(b^2*d^2*m^2*n*log(c) + a*b*d^2*m^2*n - b^2*d^2*m*n^2)*log(x))*f^(m - 1)*x^m)/m^3","A",0
361,1,244,0,0.893321," ","integrate((f*x)^(-1+m)*(d+e*x^m)*(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} e m^{2} n^{2} \log\left(x\right)^{2} + 2 \, b^{2} e m^{2} \log\left(c\right)^{2} + 2 \, a^{2} e m^{2} - 2 \, a b e m n + b^{2} e n^{2} + 2 \, {\left(2 \, a b e m^{2} - b^{2} e m n\right)} \log\left(c\right) + 2 \, {\left(2 \, b^{2} e m^{2} n \log\left(c\right) + 2 \, a b e m^{2} n - b^{2} e m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{2 \, m} + 4 \, {\left(b^{2} d m^{2} n^{2} \log\left(x\right)^{2} + b^{2} d m^{2} \log\left(c\right)^{2} + a^{2} d m^{2} - 2 \, a b d m n + 2 \, b^{2} d n^{2} + 2 \, {\left(a b d m^{2} - b^{2} d m n\right)} \log\left(c\right) + 2 \, {\left(b^{2} d m^{2} n \log\left(c\right) + a b d m^{2} n - b^{2} d m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{m}}{4 \, m^{3}}"," ",0,"1/4*((2*b^2*e*m^2*n^2*log(x)^2 + 2*b^2*e*m^2*log(c)^2 + 2*a^2*e*m^2 - 2*a*b*e*m*n + b^2*e*n^2 + 2*(2*a*b*e*m^2 - b^2*e*m*n)*log(c) + 2*(2*b^2*e*m^2*n*log(c) + 2*a*b*e*m^2*n - b^2*e*m*n^2)*log(x))*f^(m - 1)*x^(2*m) + 4*(b^2*d*m^2*n^2*log(x)^2 + b^2*d*m^2*log(c)^2 + a^2*d*m^2 - 2*a*b*d*m*n + 2*b^2*d*n^2 + 2*(a*b*d*m^2 - b^2*d*m*n)*log(c) + 2*(b^2*d*m^2*n*log(c) + a*b*d*m^2*n - b^2*d*m*n^2)*log(x))*f^(m - 1)*x^m)/m^3","A",0
362,1,124,0,0.867048," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2,x, algorithm=""fricas"")","\frac{{\left(b^{2} m^{2} n^{2} x \log\left(x\right)^{2} + b^{2} m^{2} x \log\left(c\right)^{2} + 2 \, {\left(a b m^{2} - b^{2} m n\right)} x \log\left(c\right) + {\left(a^{2} m^{2} - 2 \, a b m n + 2 \, b^{2} n^{2}\right)} x + 2 \, {\left(b^{2} m^{2} n x \log\left(c\right) + {\left(a b m^{2} n - b^{2} m n^{2}\right)} x\right)} \log\left(x\right)\right)} e^{\left({\left(m - 1\right)} \log\left(f\right) + {\left(m - 1\right)} \log\left(x\right)\right)}}{m^{3}}"," ",0,"(b^2*m^2*n^2*x*log(x)^2 + b^2*m^2*x*log(c)^2 + 2*(a*b*m^2 - b^2*m*n)*x*log(c) + (a^2*m^2 - 2*a*b*m*n + 2*b^2*n^2)*x + 2*(b^2*m^2*n*x*log(c) + (a*b*m^2*n - b^2*m*n^2)*x)*log(x))*e^((m - 1)*log(f) + (m - 1)*log(x))/m^3","A",0
363,1,178,0,0.800555," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2/(d+e*x^m),x, algorithm=""fricas"")","-\frac{2 \, b^{2} f^{m - 1} n^{2} {\rm polylog}\left(3, -\frac{e x^{m}}{d}\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)} f^{m - 1} {\rm Li}_2\left(-\frac{e x^{m} + d}{d} + 1\right) - {\left(b^{2} m^{2} \log\left(c\right)^{2} + 2 \, a b m^{2} \log\left(c\right) + a^{2} m^{2}\right)} f^{m - 1} \log\left(e x^{m} + d\right) - {\left(b^{2} m^{2} n^{2} \log\left(x\right)^{2} + 2 \, {\left(b^{2} m^{2} n \log\left(c\right) + a b m^{2} n\right)} \log\left(x\right)\right)} f^{m - 1} \log\left(\frac{e x^{m} + d}{d}\right)}{e m^{3}}"," ",0,"-(2*b^2*f^(m - 1)*n^2*polylog(3, -e*x^m/d) - 2*(b^2*m*n^2*log(x) + b^2*m*n*log(c) + a*b*m*n)*f^(m - 1)*dilog(-(e*x^m + d)/d + 1) - (b^2*m^2*log(c)^2 + 2*a*b*m^2*log(c) + a^2*m^2)*f^(m - 1)*log(e*x^m + d) - (b^2*m^2*n^2*log(x)^2 + 2*(b^2*m^2*n*log(c) + a*b*m^2*n)*log(x))*f^(m - 1)*log((e*x^m + d)/d))/(e*m^3)","C",0
364,1,266,0,0.787422," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2/(d+e*x^m)^2,x, algorithm=""fricas"")","\frac{{\left(b^{2} e m^{2} n^{2} \log\left(x\right)^{2} + 2 \, {\left(b^{2} e m^{2} n \log\left(c\right) + a b e m^{2} n\right)} \log\left(x\right)\right)} f^{m - 1} x^{m} - {\left(b^{2} d m^{2} \log\left(c\right)^{2} + 2 \, a b d m^{2} \log\left(c\right) + a^{2} d m^{2}\right)} f^{m - 1} - 2 \, {\left(b^{2} e f^{m - 1} n^{2} x^{m} + b^{2} d f^{m - 1} n^{2}\right)} {\rm Li}_2\left(-\frac{e x^{m} + d}{d} + 1\right) - 2 \, {\left({\left(b^{2} e m n \log\left(c\right) + a b e m n\right)} f^{m - 1} x^{m} + {\left(b^{2} d m n \log\left(c\right) + a b d m n\right)} f^{m - 1}\right)} \log\left(e x^{m} + d\right) - 2 \, {\left(b^{2} e f^{m - 1} m n^{2} x^{m} \log\left(x\right) + b^{2} d f^{m - 1} m n^{2} \log\left(x\right)\right)} \log\left(\frac{e x^{m} + d}{d}\right)}{d e^{2} m^{3} x^{m} + d^{2} e m^{3}}"," ",0,"((b^2*e*m^2*n^2*log(x)^2 + 2*(b^2*e*m^2*n*log(c) + a*b*e*m^2*n)*log(x))*f^(m - 1)*x^m - (b^2*d*m^2*log(c)^2 + 2*a*b*d*m^2*log(c) + a^2*d*m^2)*f^(m - 1) - 2*(b^2*e*f^(m - 1)*n^2*x^m + b^2*d*f^(m - 1)*n^2)*dilog(-(e*x^m + d)/d + 1) - 2*((b^2*e*m*n*log(c) + a*b*e*m*n)*f^(m - 1)*x^m + (b^2*d*m*n*log(c) + a*b*d*m*n)*f^(m - 1))*log(e*x^m + d) - 2*(b^2*e*f^(m - 1)*m*n^2*x^m*log(x) + b^2*d*f^(m - 1)*m*n^2*log(x))*log((e*x^m + d)/d))/(d*e^2*m^3*x^m + d^2*e*m^3)","A",0
365,1,535,0,0.842071," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2/(d+e*x^m)^3,x, algorithm=""fricas"")","\frac{{\left(b^{2} e^{2} m^{2} n^{2} \log\left(x\right)^{2} + 2 \, {\left(b^{2} e^{2} m^{2} n \log\left(c\right) + a b e^{2} m^{2} n - b^{2} e^{2} m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{2 \, m} + 2 \, {\left(b^{2} d e m^{2} n^{2} \log\left(x\right)^{2} + b^{2} d e m n \log\left(c\right) + a b d e m n + {\left(2 \, b^{2} d e m^{2} n \log\left(c\right) + 2 \, a b d e m^{2} n - b^{2} d e m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{m} - {\left(b^{2} d^{2} m^{2} \log\left(c\right)^{2} + a^{2} d^{2} m^{2} - 2 \, a b d^{2} m n + 2 \, {\left(a b d^{2} m^{2} - b^{2} d^{2} m n\right)} \log\left(c\right)\right)} f^{m - 1} - 2 \, {\left(b^{2} e^{2} f^{m - 1} n^{2} x^{2 \, m} + 2 \, b^{2} d e f^{m - 1} n^{2} x^{m} + b^{2} d^{2} f^{m - 1} n^{2}\right)} {\rm Li}_2\left(-\frac{e x^{m} + d}{d} + 1\right) - 2 \, {\left({\left(b^{2} e^{2} m n \log\left(c\right) + a b e^{2} m n - b^{2} e^{2} n^{2}\right)} f^{m - 1} x^{2 \, m} + 2 \, {\left(b^{2} d e m n \log\left(c\right) + a b d e m n - b^{2} d e n^{2}\right)} f^{m - 1} x^{m} + {\left(b^{2} d^{2} m n \log\left(c\right) + a b d^{2} m n - b^{2} d^{2} n^{2}\right)} f^{m - 1}\right)} \log\left(e x^{m} + d\right) - 2 \, {\left(b^{2} e^{2} f^{m - 1} m n^{2} x^{2 \, m} \log\left(x\right) + 2 \, b^{2} d e f^{m - 1} m n^{2} x^{m} \log\left(x\right) + b^{2} d^{2} f^{m - 1} m n^{2} \log\left(x\right)\right)} \log\left(\frac{e x^{m} + d}{d}\right)}{2 \, {\left(d^{2} e^{3} m^{3} x^{2 \, m} + 2 \, d^{3} e^{2} m^{3} x^{m} + d^{4} e m^{3}\right)}}"," ",0,"1/2*((b^2*e^2*m^2*n^2*log(x)^2 + 2*(b^2*e^2*m^2*n*log(c) + a*b*e^2*m^2*n - b^2*e^2*m*n^2)*log(x))*f^(m - 1)*x^(2*m) + 2*(b^2*d*e*m^2*n^2*log(x)^2 + b^2*d*e*m*n*log(c) + a*b*d*e*m*n + (2*b^2*d*e*m^2*n*log(c) + 2*a*b*d*e*m^2*n - b^2*d*e*m*n^2)*log(x))*f^(m - 1)*x^m - (b^2*d^2*m^2*log(c)^2 + a^2*d^2*m^2 - 2*a*b*d^2*m*n + 2*(a*b*d^2*m^2 - b^2*d^2*m*n)*log(c))*f^(m - 1) - 2*(b^2*e^2*f^(m - 1)*n^2*x^(2*m) + 2*b^2*d*e*f^(m - 1)*n^2*x^m + b^2*d^2*f^(m - 1)*n^2)*dilog(-(e*x^m + d)/d + 1) - 2*((b^2*e^2*m*n*log(c) + a*b*e^2*m*n - b^2*e^2*n^2)*f^(m - 1)*x^(2*m) + 2*(b^2*d*e*m*n*log(c) + a*b*d*e*m*n - b^2*d*e*n^2)*f^(m - 1)*x^m + (b^2*d^2*m*n*log(c) + a*b*d^2*m*n - b^2*d^2*n^2)*f^(m - 1))*log(e*x^m + d) - 2*(b^2*e^2*f^(m - 1)*m*n^2*x^(2*m)*log(x) + 2*b^2*d*e*f^(m - 1)*m*n^2*x^m*log(x) + b^2*d^2*f^(m - 1)*m*n^2*log(x))*log((e*x^m + d)/d))/(d^2*e^3*m^3*x^(2*m) + 2*d^3*e^2*m^3*x^m + d^4*e*m^3)","B",0
366,1,810,0,0.899054," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2/(d+e*x^m)^4,x, algorithm=""fricas"")","\frac{{\left(b^{2} e^{3} m^{2} n^{2} \log\left(x\right)^{2} + {\left(2 \, b^{2} e^{3} m^{2} n \log\left(c\right) + 2 \, a b e^{3} m^{2} n - 3 \, b^{2} e^{3} m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{3 \, m} + {\left(3 \, b^{2} d e^{2} m^{2} n^{2} \log\left(x\right)^{2} + 2 \, b^{2} d e^{2} m n \log\left(c\right) + 2 \, a b d e^{2} m n - b^{2} d e^{2} n^{2} + {\left(6 \, b^{2} d e^{2} m^{2} n \log\left(c\right) + 6 \, a b d e^{2} m^{2} n - 7 \, b^{2} d e^{2} m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{2 \, m} + {\left(3 \, b^{2} d^{2} e m^{2} n^{2} \log\left(x\right)^{2} + 5 \, b^{2} d^{2} e m n \log\left(c\right) + 5 \, a b d^{2} e m n - 2 \, b^{2} d^{2} e n^{2} + 2 \, {\left(3 \, b^{2} d^{2} e m^{2} n \log\left(c\right) + 3 \, a b d^{2} e m^{2} n - 2 \, b^{2} d^{2} e m n^{2}\right)} \log\left(x\right)\right)} f^{m - 1} x^{m} - {\left(b^{2} d^{3} m^{2} \log\left(c\right)^{2} + a^{2} d^{3} m^{2} - 3 \, a b d^{3} m n + b^{2} d^{3} n^{2} + {\left(2 \, a b d^{3} m^{2} - 3 \, b^{2} d^{3} m n\right)} \log\left(c\right)\right)} f^{m - 1} - 2 \, {\left(b^{2} e^{3} f^{m - 1} n^{2} x^{3 \, m} + 3 \, b^{2} d e^{2} f^{m - 1} n^{2} x^{2 \, m} + 3 \, b^{2} d^{2} e f^{m - 1} n^{2} x^{m} + b^{2} d^{3} f^{m - 1} n^{2}\right)} {\rm Li}_2\left(-\frac{e x^{m} + d}{d} + 1\right) - {\left({\left(2 \, b^{2} e^{3} m n \log\left(c\right) + 2 \, a b e^{3} m n - 3 \, b^{2} e^{3} n^{2}\right)} f^{m - 1} x^{3 \, m} + 3 \, {\left(2 \, b^{2} d e^{2} m n \log\left(c\right) + 2 \, a b d e^{2} m n - 3 \, b^{2} d e^{2} n^{2}\right)} f^{m - 1} x^{2 \, m} + 3 \, {\left(2 \, b^{2} d^{2} e m n \log\left(c\right) + 2 \, a b d^{2} e m n - 3 \, b^{2} d^{2} e n^{2}\right)} f^{m - 1} x^{m} + {\left(2 \, b^{2} d^{3} m n \log\left(c\right) + 2 \, a b d^{3} m n - 3 \, b^{2} d^{3} n^{2}\right)} f^{m - 1}\right)} \log\left(e x^{m} + d\right) - 2 \, {\left(b^{2} e^{3} f^{m - 1} m n^{2} x^{3 \, m} \log\left(x\right) + 3 \, b^{2} d e^{2} f^{m - 1} m n^{2} x^{2 \, m} \log\left(x\right) + 3 \, b^{2} d^{2} e f^{m - 1} m n^{2} x^{m} \log\left(x\right) + b^{2} d^{3} f^{m - 1} m n^{2} \log\left(x\right)\right)} \log\left(\frac{e x^{m} + d}{d}\right)}{3 \, {\left(d^{3} e^{4} m^{3} x^{3 \, m} + 3 \, d^{4} e^{3} m^{3} x^{2 \, m} + 3 \, d^{5} e^{2} m^{3} x^{m} + d^{6} e m^{3}\right)}}"," ",0,"1/3*((b^2*e^3*m^2*n^2*log(x)^2 + (2*b^2*e^3*m^2*n*log(c) + 2*a*b*e^3*m^2*n - 3*b^2*e^3*m*n^2)*log(x))*f^(m - 1)*x^(3*m) + (3*b^2*d*e^2*m^2*n^2*log(x)^2 + 2*b^2*d*e^2*m*n*log(c) + 2*a*b*d*e^2*m*n - b^2*d*e^2*n^2 + (6*b^2*d*e^2*m^2*n*log(c) + 6*a*b*d*e^2*m^2*n - 7*b^2*d*e^2*m*n^2)*log(x))*f^(m - 1)*x^(2*m) + (3*b^2*d^2*e*m^2*n^2*log(x)^2 + 5*b^2*d^2*e*m*n*log(c) + 5*a*b*d^2*e*m*n - 2*b^2*d^2*e*n^2 + 2*(3*b^2*d^2*e*m^2*n*log(c) + 3*a*b*d^2*e*m^2*n - 2*b^2*d^2*e*m*n^2)*log(x))*f^(m - 1)*x^m - (b^2*d^3*m^2*log(c)^2 + a^2*d^3*m^2 - 3*a*b*d^3*m*n + b^2*d^3*n^2 + (2*a*b*d^3*m^2 - 3*b^2*d^3*m*n)*log(c))*f^(m - 1) - 2*(b^2*e^3*f^(m - 1)*n^2*x^(3*m) + 3*b^2*d*e^2*f^(m - 1)*n^2*x^(2*m) + 3*b^2*d^2*e*f^(m - 1)*n^2*x^m + b^2*d^3*f^(m - 1)*n^2)*dilog(-(e*x^m + d)/d + 1) - ((2*b^2*e^3*m*n*log(c) + 2*a*b*e^3*m*n - 3*b^2*e^3*n^2)*f^(m - 1)*x^(3*m) + 3*(2*b^2*d*e^2*m*n*log(c) + 2*a*b*d*e^2*m*n - 3*b^2*d*e^2*n^2)*f^(m - 1)*x^(2*m) + 3*(2*b^2*d^2*e*m*n*log(c) + 2*a*b*d^2*e*m*n - 3*b^2*d^2*e*n^2)*f^(m - 1)*x^m + (2*b^2*d^3*m*n*log(c) + 2*a*b*d^3*m*n - 3*b^2*d^3*n^2)*f^(m - 1))*log(e*x^m + d) - 2*(b^2*e^3*f^(m - 1)*m*n^2*x^(3*m)*log(x) + 3*b^2*d*e^2*f^(m - 1)*m*n^2*x^(2*m)*log(x) + 3*b^2*d^2*e*f^(m - 1)*m*n^2*x^m*log(x) + b^2*d^3*f^(m - 1)*m*n^2*log(x))*log((e*x^m + d)/d))/(d^3*e^4*m^3*x^(3*m) + 3*d^4*e^3*m^3*x^(2*m) + 3*d^5*e^2*m^3*x^m + d^6*e*m^3)","B",0
367,1,159,0,0.944033," ","integrate(x^5*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{6 \, {\left(b d r^{2} + 12 \, b d r + 36 \, b d\right)} x^{6} \log\left(c\right) + 6 \, {\left(b d n r^{2} + 12 \, b d n r + 36 \, b d n\right)} x^{6} \log\left(x\right) - {\left(36 \, b d n + {\left(b d n - 6 \, a d\right)} r^{2} - 216 \, a d + 12 \, {\left(b d n - 6 \, a d\right)} r\right)} x^{6} + 36 \, {\left({\left(b e r + 6 \, b e\right)} x^{6} \log\left(c\right) + {\left(b e n r + 6 \, b e n\right)} x^{6} \log\left(x\right) - {\left(b e n - a e r - 6 \, a e\right)} x^{6}\right)} x^{r}}{36 \, {\left(r^{2} + 12 \, r + 36\right)}}"," ",0,"1/36*(6*(b*d*r^2 + 12*b*d*r + 36*b*d)*x^6*log(c) + 6*(b*d*n*r^2 + 12*b*d*n*r + 36*b*d*n)*x^6*log(x) - (36*b*d*n + (b*d*n - 6*a*d)*r^2 - 216*a*d + 12*(b*d*n - 6*a*d)*r)*x^6 + 36*((b*e*r + 6*b*e)*x^6*log(c) + (b*e*n*r + 6*b*e*n)*x^6*log(x) - (b*e*n - a*e*r - 6*a*e)*x^6)*x^r)/(r^2 + 12*r + 36)","B",0
368,1,159,0,0.713671," ","integrate(x^3*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{4 \, {\left(b d r^{2} + 8 \, b d r + 16 \, b d\right)} x^{4} \log\left(c\right) + 4 \, {\left(b d n r^{2} + 8 \, b d n r + 16 \, b d n\right)} x^{4} \log\left(x\right) - {\left(16 \, b d n + {\left(b d n - 4 \, a d\right)} r^{2} - 64 \, a d + 8 \, {\left(b d n - 4 \, a d\right)} r\right)} x^{4} + 16 \, {\left({\left(b e r + 4 \, b e\right)} x^{4} \log\left(c\right) + {\left(b e n r + 4 \, b e n\right)} x^{4} \log\left(x\right) - {\left(b e n - a e r - 4 \, a e\right)} x^{4}\right)} x^{r}}{16 \, {\left(r^{2} + 8 \, r + 16\right)}}"," ",0,"1/16*(4*(b*d*r^2 + 8*b*d*r + 16*b*d)*x^4*log(c) + 4*(b*d*n*r^2 + 8*b*d*n*r + 16*b*d*n)*x^4*log(x) - (16*b*d*n + (b*d*n - 4*a*d)*r^2 - 64*a*d + 8*(b*d*n - 4*a*d)*r)*x^4 + 16*((b*e*r + 4*b*e)*x^4*log(c) + (b*e*n*r + 4*b*e*n)*x^4*log(x) - (b*e*n - a*e*r - 4*a*e)*x^4)*x^r)/(r^2 + 8*r + 16)","B",0
369,1,159,0,0.818037," ","integrate(x*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{2 \, {\left(b d r^{2} + 4 \, b d r + 4 \, b d\right)} x^{2} \log\left(c\right) + 2 \, {\left(b d n r^{2} + 4 \, b d n r + 4 \, b d n\right)} x^{2} \log\left(x\right) - {\left(4 \, b d n + {\left(b d n - 2 \, a d\right)} r^{2} - 8 \, a d + 4 \, {\left(b d n - 2 \, a d\right)} r\right)} x^{2} + 4 \, {\left({\left(b e r + 2 \, b e\right)} x^{2} \log\left(c\right) + {\left(b e n r + 2 \, b e n\right)} x^{2} \log\left(x\right) - {\left(b e n - a e r - 2 \, a e\right)} x^{2}\right)} x^{r}}{4 \, {\left(r^{2} + 4 \, r + 4\right)}}"," ",0,"1/4*(2*(b*d*r^2 + 4*b*d*r + 4*b*d)*x^2*log(c) + 2*(b*d*n*r^2 + 4*b*d*n*r + 4*b*d*n)*x^2*log(x) - (4*b*d*n + (b*d*n - 2*a*d)*r^2 - 8*a*d + 4*(b*d*n - 2*a*d)*r)*x^2 + 4*((b*e*r + 2*b*e)*x^2*log(c) + (b*e*n*r + 2*b*e*n)*x^2*log(x) - (b*e*n - a*e*r - 2*a*e)*x^2)*x^r)/(r^2 + 4*r + 4)","B",0
370,1,64,0,0.951438," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{b d n r^{2} \log\left(x\right)^{2} + 2 \, {\left(b e n r \log\left(x\right) + b e r \log\left(c\right) - b e n + a e r\right)} x^{r} + 2 \, {\left(b d r^{2} \log\left(c\right) + a d r^{2}\right)} \log\left(x\right)}{2 \, r^{2}}"," ",0,"1/2*(b*d*n*r^2*log(x)^2 + 2*(b*e*n*r*log(x) + b*e*r*log(c) - b*e*n + a*e*r)*x^r + 2*(b*d*r^2*log(c) + a*d*r^2)*log(x))/r^2","A",0
371,1,140,0,0.884701," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","-\frac{4 \, b d n + {\left(b d n + 2 \, a d\right)} r^{2} + 8 \, a d - 4 \, {\left(b d n + 2 \, a d\right)} r + 4 \, {\left(b e n - a e r + 2 \, a e - {\left(b e r - 2 \, b e\right)} \log\left(c\right) - {\left(b e n r - 2 \, b e n\right)} \log\left(x\right)\right)} x^{r} + 2 \, {\left(b d r^{2} - 4 \, b d r + 4 \, b d\right)} \log\left(c\right) + 2 \, {\left(b d n r^{2} - 4 \, b d n r + 4 \, b d n\right)} \log\left(x\right)}{4 \, {\left(r^{2} - 4 \, r + 4\right)} x^{2}}"," ",0,"-1/4*(4*b*d*n + (b*d*n + 2*a*d)*r^2 + 8*a*d - 4*(b*d*n + 2*a*d)*r + 4*(b*e*n - a*e*r + 2*a*e - (b*e*r - 2*b*e)*log(c) - (b*e*n*r - 2*b*e*n)*log(x))*x^r + 2*(b*d*r^2 - 4*b*d*r + 4*b*d)*log(c) + 2*(b*d*n*r^2 - 4*b*d*n*r + 4*b*d*n)*log(x))/((r^2 - 4*r + 4)*x^2)","B",0
372,1,140,0,0.882988," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^5,x, algorithm=""fricas"")","-\frac{16 \, b d n + {\left(b d n + 4 \, a d\right)} r^{2} + 64 \, a d - 8 \, {\left(b d n + 4 \, a d\right)} r + 16 \, {\left(b e n - a e r + 4 \, a e - {\left(b e r - 4 \, b e\right)} \log\left(c\right) - {\left(b e n r - 4 \, b e n\right)} \log\left(x\right)\right)} x^{r} + 4 \, {\left(b d r^{2} - 8 \, b d r + 16 \, b d\right)} \log\left(c\right) + 4 \, {\left(b d n r^{2} - 8 \, b d n r + 16 \, b d n\right)} \log\left(x\right)}{16 \, {\left(r^{2} - 8 \, r + 16\right)} x^{4}}"," ",0,"-1/16*(16*b*d*n + (b*d*n + 4*a*d)*r^2 + 64*a*d - 8*(b*d*n + 4*a*d)*r + 16*(b*e*n - a*e*r + 4*a*e - (b*e*r - 4*b*e)*log(c) - (b*e*n*r - 4*b*e*n)*log(x))*x^r + 4*(b*d*r^2 - 8*b*d*r + 16*b*d)*log(c) + 4*(b*d*n*r^2 - 8*b*d*n*r + 16*b*d*n)*log(x))/((r^2 - 8*r + 16)*x^4)","B",0
373,1,159,0,0.921967," ","integrate(x^4*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{5 \, {\left(b d r^{2} + 10 \, b d r + 25 \, b d\right)} x^{5} \log\left(c\right) + 5 \, {\left(b d n r^{2} + 10 \, b d n r + 25 \, b d n\right)} x^{5} \log\left(x\right) - {\left(25 \, b d n + {\left(b d n - 5 \, a d\right)} r^{2} - 125 \, a d + 10 \, {\left(b d n - 5 \, a d\right)} r\right)} x^{5} + 25 \, {\left({\left(b e r + 5 \, b e\right)} x^{5} \log\left(c\right) + {\left(b e n r + 5 \, b e n\right)} x^{5} \log\left(x\right) - {\left(b e n - a e r - 5 \, a e\right)} x^{5}\right)} x^{r}}{25 \, {\left(r^{2} + 10 \, r + 25\right)}}"," ",0,"1/25*(5*(b*d*r^2 + 10*b*d*r + 25*b*d)*x^5*log(c) + 5*(b*d*n*r^2 + 10*b*d*n*r + 25*b*d*n)*x^5*log(x) - (25*b*d*n + (b*d*n - 5*a*d)*r^2 - 125*a*d + 10*(b*d*n - 5*a*d)*r)*x^5 + 25*((b*e*r + 5*b*e)*x^5*log(c) + (b*e*n*r + 5*b*e*n)*x^5*log(x) - (b*e*n - a*e*r - 5*a*e)*x^5)*x^r)/(r^2 + 10*r + 25)","B",0
374,1,159,0,0.642839," ","integrate(x^2*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{3 \, {\left(b d r^{2} + 6 \, b d r + 9 \, b d\right)} x^{3} \log\left(c\right) + 3 \, {\left(b d n r^{2} + 6 \, b d n r + 9 \, b d n\right)} x^{3} \log\left(x\right) - {\left(9 \, b d n + {\left(b d n - 3 \, a d\right)} r^{2} - 27 \, a d + 6 \, {\left(b d n - 3 \, a d\right)} r\right)} x^{3} + 9 \, {\left({\left(b e r + 3 \, b e\right)} x^{3} \log\left(c\right) + {\left(b e n r + 3 \, b e n\right)} x^{3} \log\left(x\right) - {\left(b e n - a e r - 3 \, a e\right)} x^{3}\right)} x^{r}}{9 \, {\left(r^{2} + 6 \, r + 9\right)}}"," ",0,"1/9*(3*(b*d*r^2 + 6*b*d*r + 9*b*d)*x^3*log(c) + 3*(b*d*n*r^2 + 6*b*d*n*r + 9*b*d*n)*x^3*log(x) - (9*b*d*n + (b*d*n - 3*a*d)*r^2 - 27*a*d + 6*(b*d*n - 3*a*d)*r)*x^3 + 9*((b*e*r + 3*b*e)*x^3*log(c) + (b*e*n*r + 3*b*e*n)*x^3*log(x) - (b*e*n - a*e*r - 3*a*e)*x^3)*x^r)/(r^2 + 6*r + 9)","B",0
375,1,138,0,0.965749," ","integrate((d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left(b d r^{2} + 2 \, b d r + b d\right)} x \log\left(c\right) + {\left(b d n r^{2} + 2 \, b d n r + b d n\right)} x \log\left(x\right) - {\left(b d n + {\left(b d n - a d\right)} r^{2} - a d + 2 \, {\left(b d n - a d\right)} r\right)} x + {\left({\left(b e r + b e\right)} x \log\left(c\right) + {\left(b e n r + b e n\right)} x \log\left(x\right) - {\left(b e n - a e r - a e\right)} x\right)} x^{r}}{r^{2} + 2 \, r + 1}"," ",0,"((b*d*r^2 + 2*b*d*r + b*d)*x*log(c) + (b*d*n*r^2 + 2*b*d*n*r + b*d*n)*x*log(x) - (b*d*n + (b*d*n - a*d)*r^2 - a*d + 2*(b*d*n - a*d)*r)*x + ((b*e*r + b*e)*x*log(c) + (b*e*n*r + b*e*n)*x*log(x) - (b*e*n - a*e*r - a*e)*x)*x^r)/(r^2 + 2*r + 1)","B",0
376,1,130,0,0.986353," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","-\frac{b d n + {\left(b d n + a d\right)} r^{2} + a d - 2 \, {\left(b d n + a d\right)} r + {\left(b e n - a e r + a e - {\left(b e r - b e\right)} \log\left(c\right) - {\left(b e n r - b e n\right)} \log\left(x\right)\right)} x^{r} + {\left(b d r^{2} - 2 \, b d r + b d\right)} \log\left(c\right) + {\left(b d n r^{2} - 2 \, b d n r + b d n\right)} \log\left(x\right)}{{\left(r^{2} - 2 \, r + 1\right)} x}"," ",0,"-(b*d*n + (b*d*n + a*d)*r^2 + a*d - 2*(b*d*n + a*d)*r + (b*e*n - a*e*r + a*e - (b*e*r - b*e)*log(c) - (b*e*n*r - b*e*n)*log(x))*x^r + (b*d*r^2 - 2*b*d*r + b*d)*log(c) + (b*d*n*r^2 - 2*b*d*n*r + b*d*n)*log(x))/((r^2 - 2*r + 1)*x)","B",0
377,1,140,0,0.873668," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^4,x, algorithm=""fricas"")","-\frac{9 \, b d n + {\left(b d n + 3 \, a d\right)} r^{2} + 27 \, a d - 6 \, {\left(b d n + 3 \, a d\right)} r + 9 \, {\left(b e n - a e r + 3 \, a e - {\left(b e r - 3 \, b e\right)} \log\left(c\right) - {\left(b e n r - 3 \, b e n\right)} \log\left(x\right)\right)} x^{r} + 3 \, {\left(b d r^{2} - 6 \, b d r + 9 \, b d\right)} \log\left(c\right) + 3 \, {\left(b d n r^{2} - 6 \, b d n r + 9 \, b d n\right)} \log\left(x\right)}{9 \, {\left(r^{2} - 6 \, r + 9\right)} x^{3}}"," ",0,"-1/9*(9*b*d*n + (b*d*n + 3*a*d)*r^2 + 27*a*d - 6*(b*d*n + 3*a*d)*r + 9*(b*e*n - a*e*r + 3*a*e - (b*e*r - 3*b*e)*log(c) - (b*e*n*r - 3*b*e*n)*log(x))*x^r + 3*(b*d*r^2 - 6*b*d*r + 9*b*d)*log(c) + 3*(b*d*n*r^2 - 6*b*d*n*r + 9*b*d*n)*log(x))/((r^2 - 6*r + 9)*x^3)","B",0
378,1,140,0,0.965199," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^6,x, algorithm=""fricas"")","-\frac{25 \, b d n + {\left(b d n + 5 \, a d\right)} r^{2} + 125 \, a d - 10 \, {\left(b d n + 5 \, a d\right)} r + 25 \, {\left(b e n - a e r + 5 \, a e - {\left(b e r - 5 \, b e\right)} \log\left(c\right) - {\left(b e n r - 5 \, b e n\right)} \log\left(x\right)\right)} x^{r} + 5 \, {\left(b d r^{2} - 10 \, b d r + 25 \, b d\right)} \log\left(c\right) + 5 \, {\left(b d n r^{2} - 10 \, b d n r + 25 \, b d n\right)} \log\left(x\right)}{25 \, {\left(r^{2} - 10 \, r + 25\right)} x^{5}}"," ",0,"-1/25*(25*b*d*n + (b*d*n + 5*a*d)*r^2 + 125*a*d - 10*(b*d*n + 5*a*d)*r + 25*(b*e*n - a*e*r + 5*a*e - (b*e*r - 5*b*e)*log(c) - (b*e*n*r - 5*b*e*n)*log(x))*x^r + 5*(b*d*r^2 - 10*b*d*r + 25*b*d)*log(c) + 5*(b*d*n*r^2 - 10*b*d*n*r + 25*b*d*n)*log(x))/((r^2 - 10*r + 25)*x^5)","B",0
379,1,489,0,0.913495," ","integrate(x^5*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{6 \, {\left(b d^{2} r^{4} + 18 \, b d^{2} r^{3} + 117 \, b d^{2} r^{2} + 324 \, b d^{2} r + 324 \, b d^{2}\right)} x^{6} \log\left(c\right) + 6 \, {\left(b d^{2} n r^{4} + 18 \, b d^{2} n r^{3} + 117 \, b d^{2} n r^{2} + 324 \, b d^{2} n r + 324 \, b d^{2} n\right)} x^{6} \log\left(x\right) - {\left({\left(b d^{2} n - 6 \, a d^{2}\right)} r^{4} + 324 \, b d^{2} n + 18 \, {\left(b d^{2} n - 6 \, a d^{2}\right)} r^{3} - 1944 \, a d^{2} + 117 \, {\left(b d^{2} n - 6 \, a d^{2}\right)} r^{2} + 324 \, {\left(b d^{2} n - 6 \, a d^{2}\right)} r\right)} x^{6} + 9 \, {\left(2 \, {\left(b e^{2} r^{3} + 15 \, b e^{2} r^{2} + 72 \, b e^{2} r + 108 \, b e^{2}\right)} x^{6} \log\left(c\right) + 2 \, {\left(b e^{2} n r^{3} + 15 \, b e^{2} n r^{2} + 72 \, b e^{2} n r + 108 \, b e^{2} n\right)} x^{6} \log\left(x\right) + {\left(2 \, a e^{2} r^{3} - 36 \, b e^{2} n + 216 \, a e^{2} - {\left(b e^{2} n - 30 \, a e^{2}\right)} r^{2} - 12 \, {\left(b e^{2} n - 12 \, a e^{2}\right)} r\right)} x^{6}\right)} x^{2 \, r} + 72 \, {\left({\left(b d e r^{3} + 12 \, b d e r^{2} + 45 \, b d e r + 54 \, b d e\right)} x^{6} \log\left(c\right) + {\left(b d e n r^{3} + 12 \, b d e n r^{2} + 45 \, b d e n r + 54 \, b d e n\right)} x^{6} \log\left(x\right) + {\left(a d e r^{3} - 9 \, b d e n + 54 \, a d e - {\left(b d e n - 12 \, a d e\right)} r^{2} - 3 \, {\left(2 \, b d e n - 15 \, a d e\right)} r\right)} x^{6}\right)} x^{r}}{36 \, {\left(r^{4} + 18 \, r^{3} + 117 \, r^{2} + 324 \, r + 324\right)}}"," ",0,"1/36*(6*(b*d^2*r^4 + 18*b*d^2*r^3 + 117*b*d^2*r^2 + 324*b*d^2*r + 324*b*d^2)*x^6*log(c) + 6*(b*d^2*n*r^4 + 18*b*d^2*n*r^3 + 117*b*d^2*n*r^2 + 324*b*d^2*n*r + 324*b*d^2*n)*x^6*log(x) - ((b*d^2*n - 6*a*d^2)*r^4 + 324*b*d^2*n + 18*(b*d^2*n - 6*a*d^2)*r^3 - 1944*a*d^2 + 117*(b*d^2*n - 6*a*d^2)*r^2 + 324*(b*d^2*n - 6*a*d^2)*r)*x^6 + 9*(2*(b*e^2*r^3 + 15*b*e^2*r^2 + 72*b*e^2*r + 108*b*e^2)*x^6*log(c) + 2*(b*e^2*n*r^3 + 15*b*e^2*n*r^2 + 72*b*e^2*n*r + 108*b*e^2*n)*x^6*log(x) + (2*a*e^2*r^3 - 36*b*e^2*n + 216*a*e^2 - (b*e^2*n - 30*a*e^2)*r^2 - 12*(b*e^2*n - 12*a*e^2)*r)*x^6)*x^(2*r) + 72*((b*d*e*r^3 + 12*b*d*e*r^2 + 45*b*d*e*r + 54*b*d*e)*x^6*log(c) + (b*d*e*n*r^3 + 12*b*d*e*n*r^2 + 45*b*d*e*n*r + 54*b*d*e*n)*x^6*log(x) + (a*d*e*r^3 - 9*b*d*e*n + 54*a*d*e - (b*d*e*n - 12*a*d*e)*r^2 - 3*(2*b*d*e*n - 15*a*d*e)*r)*x^6)*x^r)/(r^4 + 18*r^3 + 117*r^2 + 324*r + 324)","B",0
380,1,488,0,0.730562," ","integrate(x^3*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{4 \, {\left(b d^{2} r^{4} + 12 \, b d^{2} r^{3} + 52 \, b d^{2} r^{2} + 96 \, b d^{2} r + 64 \, b d^{2}\right)} x^{4} \log\left(c\right) + 4 \, {\left(b d^{2} n r^{4} + 12 \, b d^{2} n r^{3} + 52 \, b d^{2} n r^{2} + 96 \, b d^{2} n r + 64 \, b d^{2} n\right)} x^{4} \log\left(x\right) - {\left({\left(b d^{2} n - 4 \, a d^{2}\right)} r^{4} + 64 \, b d^{2} n + 12 \, {\left(b d^{2} n - 4 \, a d^{2}\right)} r^{3} - 256 \, a d^{2} + 52 \, {\left(b d^{2} n - 4 \, a d^{2}\right)} r^{2} + 96 \, {\left(b d^{2} n - 4 \, a d^{2}\right)} r\right)} x^{4} + 4 \, {\left(2 \, {\left(b e^{2} r^{3} + 10 \, b e^{2} r^{2} + 32 \, b e^{2} r + 32 \, b e^{2}\right)} x^{4} \log\left(c\right) + 2 \, {\left(b e^{2} n r^{3} + 10 \, b e^{2} n r^{2} + 32 \, b e^{2} n r + 32 \, b e^{2} n\right)} x^{4} \log\left(x\right) + {\left(2 \, a e^{2} r^{3} - 16 \, b e^{2} n + 64 \, a e^{2} - {\left(b e^{2} n - 20 \, a e^{2}\right)} r^{2} - 8 \, {\left(b e^{2} n - 8 \, a e^{2}\right)} r\right)} x^{4}\right)} x^{2 \, r} + 32 \, {\left({\left(b d e r^{3} + 8 \, b d e r^{2} + 20 \, b d e r + 16 \, b d e\right)} x^{4} \log\left(c\right) + {\left(b d e n r^{3} + 8 \, b d e n r^{2} + 20 \, b d e n r + 16 \, b d e n\right)} x^{4} \log\left(x\right) + {\left(a d e r^{3} - 4 \, b d e n + 16 \, a d e - {\left(b d e n - 8 \, a d e\right)} r^{2} - 4 \, {\left(b d e n - 5 \, a d e\right)} r\right)} x^{4}\right)} x^{r}}{16 \, {\left(r^{4} + 12 \, r^{3} + 52 \, r^{2} + 96 \, r + 64\right)}}"," ",0,"1/16*(4*(b*d^2*r^4 + 12*b*d^2*r^3 + 52*b*d^2*r^2 + 96*b*d^2*r + 64*b*d^2)*x^4*log(c) + 4*(b*d^2*n*r^4 + 12*b*d^2*n*r^3 + 52*b*d^2*n*r^2 + 96*b*d^2*n*r + 64*b*d^2*n)*x^4*log(x) - ((b*d^2*n - 4*a*d^2)*r^4 + 64*b*d^2*n + 12*(b*d^2*n - 4*a*d^2)*r^3 - 256*a*d^2 + 52*(b*d^2*n - 4*a*d^2)*r^2 + 96*(b*d^2*n - 4*a*d^2)*r)*x^4 + 4*(2*(b*e^2*r^3 + 10*b*e^2*r^2 + 32*b*e^2*r + 32*b*e^2)*x^4*log(c) + 2*(b*e^2*n*r^3 + 10*b*e^2*n*r^2 + 32*b*e^2*n*r + 32*b*e^2*n)*x^4*log(x) + (2*a*e^2*r^3 - 16*b*e^2*n + 64*a*e^2 - (b*e^2*n - 20*a*e^2)*r^2 - 8*(b*e^2*n - 8*a*e^2)*r)*x^4)*x^(2*r) + 32*((b*d*e*r^3 + 8*b*d*e*r^2 + 20*b*d*e*r + 16*b*d*e)*x^4*log(c) + (b*d*e*n*r^3 + 8*b*d*e*n*r^2 + 20*b*d*e*n*r + 16*b*d*e*n)*x^4*log(x) + (a*d*e*r^3 - 4*b*d*e*n + 16*a*d*e - (b*d*e*n - 8*a*d*e)*r^2 - 4*(b*d*e*n - 5*a*d*e)*r)*x^4)*x^r)/(r^4 + 12*r^3 + 52*r^2 + 96*r + 64)","B",0
381,1,488,0,0.928805," ","integrate(x*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{2 \, {\left(b d^{2} r^{4} + 6 \, b d^{2} r^{3} + 13 \, b d^{2} r^{2} + 12 \, b d^{2} r + 4 \, b d^{2}\right)} x^{2} \log\left(c\right) + 2 \, {\left(b d^{2} n r^{4} + 6 \, b d^{2} n r^{3} + 13 \, b d^{2} n r^{2} + 12 \, b d^{2} n r + 4 \, b d^{2} n\right)} x^{2} \log\left(x\right) - {\left({\left(b d^{2} n - 2 \, a d^{2}\right)} r^{4} + 4 \, b d^{2} n + 6 \, {\left(b d^{2} n - 2 \, a d^{2}\right)} r^{3} - 8 \, a d^{2} + 13 \, {\left(b d^{2} n - 2 \, a d^{2}\right)} r^{2} + 12 \, {\left(b d^{2} n - 2 \, a d^{2}\right)} r\right)} x^{2} + {\left(2 \, {\left(b e^{2} r^{3} + 5 \, b e^{2} r^{2} + 8 \, b e^{2} r + 4 \, b e^{2}\right)} x^{2} \log\left(c\right) + 2 \, {\left(b e^{2} n r^{3} + 5 \, b e^{2} n r^{2} + 8 \, b e^{2} n r + 4 \, b e^{2} n\right)} x^{2} \log\left(x\right) + {\left(2 \, a e^{2} r^{3} - 4 \, b e^{2} n + 8 \, a e^{2} - {\left(b e^{2} n - 10 \, a e^{2}\right)} r^{2} - 4 \, {\left(b e^{2} n - 4 \, a e^{2}\right)} r\right)} x^{2}\right)} x^{2 \, r} + 8 \, {\left({\left(b d e r^{3} + 4 \, b d e r^{2} + 5 \, b d e r + 2 \, b d e\right)} x^{2} \log\left(c\right) + {\left(b d e n r^{3} + 4 \, b d e n r^{2} + 5 \, b d e n r + 2 \, b d e n\right)} x^{2} \log\left(x\right) + {\left(a d e r^{3} - b d e n + 2 \, a d e - {\left(b d e n - 4 \, a d e\right)} r^{2} - {\left(2 \, b d e n - 5 \, a d e\right)} r\right)} x^{2}\right)} x^{r}}{4 \, {\left(r^{4} + 6 \, r^{3} + 13 \, r^{2} + 12 \, r + 4\right)}}"," ",0,"1/4*(2*(b*d^2*r^4 + 6*b*d^2*r^3 + 13*b*d^2*r^2 + 12*b*d^2*r + 4*b*d^2)*x^2*log(c) + 2*(b*d^2*n*r^4 + 6*b*d^2*n*r^3 + 13*b*d^2*n*r^2 + 12*b*d^2*n*r + 4*b*d^2*n)*x^2*log(x) - ((b*d^2*n - 2*a*d^2)*r^4 + 4*b*d^2*n + 6*(b*d^2*n - 2*a*d^2)*r^3 - 8*a*d^2 + 13*(b*d^2*n - 2*a*d^2)*r^2 + 12*(b*d^2*n - 2*a*d^2)*r)*x^2 + (2*(b*e^2*r^3 + 5*b*e^2*r^2 + 8*b*e^2*r + 4*b*e^2)*x^2*log(c) + 2*(b*e^2*n*r^3 + 5*b*e^2*n*r^2 + 8*b*e^2*n*r + 4*b*e^2*n)*x^2*log(x) + (2*a*e^2*r^3 - 4*b*e^2*n + 8*a*e^2 - (b*e^2*n - 10*a*e^2)*r^2 - 4*(b*e^2*n - 4*a*e^2)*r)*x^2)*x^(2*r) + 8*((b*d*e*r^3 + 4*b*d*e*r^2 + 5*b*d*e*r + 2*b*d*e)*x^2*log(c) + (b*d*e*n*r^3 + 4*b*d*e*n*r^2 + 5*b*d*e*n*r + 2*b*d*e*n)*x^2*log(x) + (a*d*e*r^3 - b*d*e*n + 2*a*d*e - (b*d*e*n - 4*a*d*e)*r^2 - (2*b*d*e*n - 5*a*d*e)*r)*x^2)*x^r)/(r^4 + 6*r^3 + 13*r^2 + 12*r + 4)","B",0
382,1,115,0,0.782091," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{2 \, b d^{2} n r^{2} \log\left(x\right)^{2} + {\left(2 \, b e^{2} n r \log\left(x\right) + 2 \, b e^{2} r \log\left(c\right) - b e^{2} n + 2 \, a e^{2} r\right)} x^{2 \, r} + 8 \, {\left(b d e n r \log\left(x\right) + b d e r \log\left(c\right) - b d e n + a d e r\right)} x^{r} + 4 \, {\left(b d^{2} r^{2} \log\left(c\right) + a d^{2} r^{2}\right)} \log\left(x\right)}{4 \, r^{2}}"," ",0,"1/4*(2*b*d^2*n*r^2*log(x)^2 + (2*b*e^2*n*r*log(x) + 2*b*e^2*r*log(c) - b*e^2*n + 2*a*e^2*r)*x^(2*r) + 8*(b*d*e*n*r*log(x) + b*d*e*r*log(c) - b*d*e*n + a*d*e*r)*x^r + 4*(b*d^2*r^2*log(c) + a*d^2*r^2)*log(x))/r^2","A",0
383,1,457,0,0.573011," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","-\frac{{\left(b d^{2} n + 2 \, a d^{2}\right)} r^{4} + 4 \, b d^{2} n - 6 \, {\left(b d^{2} n + 2 \, a d^{2}\right)} r^{3} + 8 \, a d^{2} + 13 \, {\left(b d^{2} n + 2 \, a d^{2}\right)} r^{2} - 12 \, {\left(b d^{2} n + 2 \, a d^{2}\right)} r - {\left(2 \, a e^{2} r^{3} - 4 \, b e^{2} n - 8 \, a e^{2} - {\left(b e^{2} n + 10 \, a e^{2}\right)} r^{2} + 4 \, {\left(b e^{2} n + 4 \, a e^{2}\right)} r + 2 \, {\left(b e^{2} r^{3} - 5 \, b e^{2} r^{2} + 8 \, b e^{2} r - 4 \, b e^{2}\right)} \log\left(c\right) + 2 \, {\left(b e^{2} n r^{3} - 5 \, b e^{2} n r^{2} + 8 \, b e^{2} n r - 4 \, b e^{2} n\right)} \log\left(x\right)\right)} x^{2 \, r} - 8 \, {\left(a d e r^{3} - b d e n - 2 \, a d e - {\left(b d e n + 4 \, a d e\right)} r^{2} + {\left(2 \, b d e n + 5 \, a d e\right)} r + {\left(b d e r^{3} - 4 \, b d e r^{2} + 5 \, b d e r - 2 \, b d e\right)} \log\left(c\right) + {\left(b d e n r^{3} - 4 \, b d e n r^{2} + 5 \, b d e n r - 2 \, b d e n\right)} \log\left(x\right)\right)} x^{r} + 2 \, {\left(b d^{2} r^{4} - 6 \, b d^{2} r^{3} + 13 \, b d^{2} r^{2} - 12 \, b d^{2} r + 4 \, b d^{2}\right)} \log\left(c\right) + 2 \, {\left(b d^{2} n r^{4} - 6 \, b d^{2} n r^{3} + 13 \, b d^{2} n r^{2} - 12 \, b d^{2} n r + 4 \, b d^{2} n\right)} \log\left(x\right)}{4 \, {\left(r^{4} - 6 \, r^{3} + 13 \, r^{2} - 12 \, r + 4\right)} x^{2}}"," ",0,"-1/4*((b*d^2*n + 2*a*d^2)*r^4 + 4*b*d^2*n - 6*(b*d^2*n + 2*a*d^2)*r^3 + 8*a*d^2 + 13*(b*d^2*n + 2*a*d^2)*r^2 - 12*(b*d^2*n + 2*a*d^2)*r - (2*a*e^2*r^3 - 4*b*e^2*n - 8*a*e^2 - (b*e^2*n + 10*a*e^2)*r^2 + 4*(b*e^2*n + 4*a*e^2)*r + 2*(b*e^2*r^3 - 5*b*e^2*r^2 + 8*b*e^2*r - 4*b*e^2)*log(c) + 2*(b*e^2*n*r^3 - 5*b*e^2*n*r^2 + 8*b*e^2*n*r - 4*b*e^2*n)*log(x))*x^(2*r) - 8*(a*d*e*r^3 - b*d*e*n - 2*a*d*e - (b*d*e*n + 4*a*d*e)*r^2 + (2*b*d*e*n + 5*a*d*e)*r + (b*d*e*r^3 - 4*b*d*e*r^2 + 5*b*d*e*r - 2*b*d*e)*log(c) + (b*d*e*n*r^3 - 4*b*d*e*n*r^2 + 5*b*d*e*n*r - 2*b*d*e*n)*log(x))*x^r + 2*(b*d^2*r^4 - 6*b*d^2*r^3 + 13*b*d^2*r^2 - 12*b*d^2*r + 4*b*d^2)*log(c) + 2*(b*d^2*n*r^4 - 6*b*d^2*n*r^3 + 13*b*d^2*n*r^2 - 12*b*d^2*n*r + 4*b*d^2*n)*log(x))/((r^4 - 6*r^3 + 13*r^2 - 12*r + 4)*x^2)","B",0
384,1,457,0,0.975599," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^5,x, algorithm=""fricas"")","-\frac{{\left(b d^{2} n + 4 \, a d^{2}\right)} r^{4} + 64 \, b d^{2} n - 12 \, {\left(b d^{2} n + 4 \, a d^{2}\right)} r^{3} + 256 \, a d^{2} + 52 \, {\left(b d^{2} n + 4 \, a d^{2}\right)} r^{2} - 96 \, {\left(b d^{2} n + 4 \, a d^{2}\right)} r - 4 \, {\left(2 \, a e^{2} r^{3} - 16 \, b e^{2} n - 64 \, a e^{2} - {\left(b e^{2} n + 20 \, a e^{2}\right)} r^{2} + 8 \, {\left(b e^{2} n + 8 \, a e^{2}\right)} r + 2 \, {\left(b e^{2} r^{3} - 10 \, b e^{2} r^{2} + 32 \, b e^{2} r - 32 \, b e^{2}\right)} \log\left(c\right) + 2 \, {\left(b e^{2} n r^{3} - 10 \, b e^{2} n r^{2} + 32 \, b e^{2} n r - 32 \, b e^{2} n\right)} \log\left(x\right)\right)} x^{2 \, r} - 32 \, {\left(a d e r^{3} - 4 \, b d e n - 16 \, a d e - {\left(b d e n + 8 \, a d e\right)} r^{2} + 4 \, {\left(b d e n + 5 \, a d e\right)} r + {\left(b d e r^{3} - 8 \, b d e r^{2} + 20 \, b d e r - 16 \, b d e\right)} \log\left(c\right) + {\left(b d e n r^{3} - 8 \, b d e n r^{2} + 20 \, b d e n r - 16 \, b d e n\right)} \log\left(x\right)\right)} x^{r} + 4 \, {\left(b d^{2} r^{4} - 12 \, b d^{2} r^{3} + 52 \, b d^{2} r^{2} - 96 \, b d^{2} r + 64 \, b d^{2}\right)} \log\left(c\right) + 4 \, {\left(b d^{2} n r^{4} - 12 \, b d^{2} n r^{3} + 52 \, b d^{2} n r^{2} - 96 \, b d^{2} n r + 64 \, b d^{2} n\right)} \log\left(x\right)}{16 \, {\left(r^{4} - 12 \, r^{3} + 52 \, r^{2} - 96 \, r + 64\right)} x^{4}}"," ",0,"-1/16*((b*d^2*n + 4*a*d^2)*r^4 + 64*b*d^2*n - 12*(b*d^2*n + 4*a*d^2)*r^3 + 256*a*d^2 + 52*(b*d^2*n + 4*a*d^2)*r^2 - 96*(b*d^2*n + 4*a*d^2)*r - 4*(2*a*e^2*r^3 - 16*b*e^2*n - 64*a*e^2 - (b*e^2*n + 20*a*e^2)*r^2 + 8*(b*e^2*n + 8*a*e^2)*r + 2*(b*e^2*r^3 - 10*b*e^2*r^2 + 32*b*e^2*r - 32*b*e^2)*log(c) + 2*(b*e^2*n*r^3 - 10*b*e^2*n*r^2 + 32*b*e^2*n*r - 32*b*e^2*n)*log(x))*x^(2*r) - 32*(a*d*e*r^3 - 4*b*d*e*n - 16*a*d*e - (b*d*e*n + 8*a*d*e)*r^2 + 4*(b*d*e*n + 5*a*d*e)*r + (b*d*e*r^3 - 8*b*d*e*r^2 + 20*b*d*e*r - 16*b*d*e)*log(c) + (b*d*e*n*r^3 - 8*b*d*e*n*r^2 + 20*b*d*e*n*r - 16*b*d*e*n)*log(x))*x^r + 4*(b*d^2*r^4 - 12*b*d^2*r^3 + 52*b*d^2*r^2 - 96*b*d^2*r + 64*b*d^2)*log(c) + 4*(b*d^2*n*r^4 - 12*b*d^2*n*r^3 + 52*b*d^2*n*r^2 - 96*b*d^2*n*r + 64*b*d^2*n)*log(x))/((r^4 - 12*r^3 + 52*r^2 - 96*r + 64)*x^4)","B",0
385,1,497,0,0.666286," ","integrate(x^4*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{5 \, {\left(4 \, b d^{2} r^{4} + 60 \, b d^{2} r^{3} + 325 \, b d^{2} r^{2} + 750 \, b d^{2} r + 625 \, b d^{2}\right)} x^{5} \log\left(c\right) + 5 \, {\left(4 \, b d^{2} n r^{4} + 60 \, b d^{2} n r^{3} + 325 \, b d^{2} n r^{2} + 750 \, b d^{2} n r + 625 \, b d^{2} n\right)} x^{5} \log\left(x\right) - {\left(4 \, {\left(b d^{2} n - 5 \, a d^{2}\right)} r^{4} + 625 \, b d^{2} n + 60 \, {\left(b d^{2} n - 5 \, a d^{2}\right)} r^{3} - 3125 \, a d^{2} + 325 \, {\left(b d^{2} n - 5 \, a d^{2}\right)} r^{2} + 750 \, {\left(b d^{2} n - 5 \, a d^{2}\right)} r\right)} x^{5} + 25 \, {\left({\left(2 \, b e^{2} r^{3} + 25 \, b e^{2} r^{2} + 100 \, b e^{2} r + 125 \, b e^{2}\right)} x^{5} \log\left(c\right) + {\left(2 \, b e^{2} n r^{3} + 25 \, b e^{2} n r^{2} + 100 \, b e^{2} n r + 125 \, b e^{2} n\right)} x^{5} \log\left(x\right) + {\left(2 \, a e^{2} r^{3} - 25 \, b e^{2} n + 125 \, a e^{2} - {\left(b e^{2} n - 25 \, a e^{2}\right)} r^{2} - 10 \, {\left(b e^{2} n - 10 \, a e^{2}\right)} r\right)} x^{5}\right)} x^{2 \, r} + 50 \, {\left({\left(4 \, b d e r^{3} + 40 \, b d e r^{2} + 125 \, b d e r + 125 \, b d e\right)} x^{5} \log\left(c\right) + {\left(4 \, b d e n r^{3} + 40 \, b d e n r^{2} + 125 \, b d e n r + 125 \, b d e n\right)} x^{5} \log\left(x\right) + {\left(4 \, a d e r^{3} - 25 \, b d e n + 125 \, a d e - 4 \, {\left(b d e n - 10 \, a d e\right)} r^{2} - 5 \, {\left(4 \, b d e n - 25 \, a d e\right)} r\right)} x^{5}\right)} x^{r}}{25 \, {\left(4 \, r^{4} + 60 \, r^{3} + 325 \, r^{2} + 750 \, r + 625\right)}}"," ",0,"1/25*(5*(4*b*d^2*r^4 + 60*b*d^2*r^3 + 325*b*d^2*r^2 + 750*b*d^2*r + 625*b*d^2)*x^5*log(c) + 5*(4*b*d^2*n*r^4 + 60*b*d^2*n*r^3 + 325*b*d^2*n*r^2 + 750*b*d^2*n*r + 625*b*d^2*n)*x^5*log(x) - (4*(b*d^2*n - 5*a*d^2)*r^4 + 625*b*d^2*n + 60*(b*d^2*n - 5*a*d^2)*r^3 - 3125*a*d^2 + 325*(b*d^2*n - 5*a*d^2)*r^2 + 750*(b*d^2*n - 5*a*d^2)*r)*x^5 + 25*((2*b*e^2*r^3 + 25*b*e^2*r^2 + 100*b*e^2*r + 125*b*e^2)*x^5*log(c) + (2*b*e^2*n*r^3 + 25*b*e^2*n*r^2 + 100*b*e^2*n*r + 125*b*e^2*n)*x^5*log(x) + (2*a*e^2*r^3 - 25*b*e^2*n + 125*a*e^2 - (b*e^2*n - 25*a*e^2)*r^2 - 10*(b*e^2*n - 10*a*e^2)*r)*x^5)*x^(2*r) + 50*((4*b*d*e*r^3 + 40*b*d*e*r^2 + 125*b*d*e*r + 125*b*d*e)*x^5*log(c) + (4*b*d*e*n*r^3 + 40*b*d*e*n*r^2 + 125*b*d*e*n*r + 125*b*d*e*n)*x^5*log(x) + (4*a*d*e*r^3 - 25*b*d*e*n + 125*a*d*e - 4*(b*d*e*n - 10*a*d*e)*r^2 - 5*(4*b*d*e*n - 25*a*d*e)*r)*x^5)*x^r)/(4*r^4 + 60*r^3 + 325*r^2 + 750*r + 625)","B",0
386,1,497,0,0.907944," ","integrate(x^2*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{3 \, {\left(4 \, b d^{2} r^{4} + 36 \, b d^{2} r^{3} + 117 \, b d^{2} r^{2} + 162 \, b d^{2} r + 81 \, b d^{2}\right)} x^{3} \log\left(c\right) + 3 \, {\left(4 \, b d^{2} n r^{4} + 36 \, b d^{2} n r^{3} + 117 \, b d^{2} n r^{2} + 162 \, b d^{2} n r + 81 \, b d^{2} n\right)} x^{3} \log\left(x\right) - {\left(4 \, {\left(b d^{2} n - 3 \, a d^{2}\right)} r^{4} + 81 \, b d^{2} n + 36 \, {\left(b d^{2} n - 3 \, a d^{2}\right)} r^{3} - 243 \, a d^{2} + 117 \, {\left(b d^{2} n - 3 \, a d^{2}\right)} r^{2} + 162 \, {\left(b d^{2} n - 3 \, a d^{2}\right)} r\right)} x^{3} + 9 \, {\left({\left(2 \, b e^{2} r^{3} + 15 \, b e^{2} r^{2} + 36 \, b e^{2} r + 27 \, b e^{2}\right)} x^{3} \log\left(c\right) + {\left(2 \, b e^{2} n r^{3} + 15 \, b e^{2} n r^{2} + 36 \, b e^{2} n r + 27 \, b e^{2} n\right)} x^{3} \log\left(x\right) + {\left(2 \, a e^{2} r^{3} - 9 \, b e^{2} n + 27 \, a e^{2} - {\left(b e^{2} n - 15 \, a e^{2}\right)} r^{2} - 6 \, {\left(b e^{2} n - 6 \, a e^{2}\right)} r\right)} x^{3}\right)} x^{2 \, r} + 18 \, {\left({\left(4 \, b d e r^{3} + 24 \, b d e r^{2} + 45 \, b d e r + 27 \, b d e\right)} x^{3} \log\left(c\right) + {\left(4 \, b d e n r^{3} + 24 \, b d e n r^{2} + 45 \, b d e n r + 27 \, b d e n\right)} x^{3} \log\left(x\right) + {\left(4 \, a d e r^{3} - 9 \, b d e n + 27 \, a d e - 4 \, {\left(b d e n - 6 \, a d e\right)} r^{2} - 3 \, {\left(4 \, b d e n - 15 \, a d e\right)} r\right)} x^{3}\right)} x^{r}}{9 \, {\left(4 \, r^{4} + 36 \, r^{3} + 117 \, r^{2} + 162 \, r + 81\right)}}"," ",0,"1/9*(3*(4*b*d^2*r^4 + 36*b*d^2*r^3 + 117*b*d^2*r^2 + 162*b*d^2*r + 81*b*d^2)*x^3*log(c) + 3*(4*b*d^2*n*r^4 + 36*b*d^2*n*r^3 + 117*b*d^2*n*r^2 + 162*b*d^2*n*r + 81*b*d^2*n)*x^3*log(x) - (4*(b*d^2*n - 3*a*d^2)*r^4 + 81*b*d^2*n + 36*(b*d^2*n - 3*a*d^2)*r^3 - 243*a*d^2 + 117*(b*d^2*n - 3*a*d^2)*r^2 + 162*(b*d^2*n - 3*a*d^2)*r)*x^3 + 9*((2*b*e^2*r^3 + 15*b*e^2*r^2 + 36*b*e^2*r + 27*b*e^2)*x^3*log(c) + (2*b*e^2*n*r^3 + 15*b*e^2*n*r^2 + 36*b*e^2*n*r + 27*b*e^2*n)*x^3*log(x) + (2*a*e^2*r^3 - 9*b*e^2*n + 27*a*e^2 - (b*e^2*n - 15*a*e^2)*r^2 - 6*(b*e^2*n - 6*a*e^2)*r)*x^3)*x^(2*r) + 18*((4*b*d*e*r^3 + 24*b*d*e*r^2 + 45*b*d*e*r + 27*b*d*e)*x^3*log(c) + (4*b*d*e*n*r^3 + 24*b*d*e*n*r^2 + 45*b*d*e*n*r + 27*b*d*e*n)*x^3*log(x) + (4*a*d*e*r^3 - 9*b*d*e*n + 27*a*d*e - 4*(b*d*e*n - 6*a*d*e)*r^2 - 3*(4*b*d*e*n - 15*a*d*e)*r)*x^3)*x^r)/(4*r^4 + 36*r^3 + 117*r^2 + 162*r + 81)","B",0
387,1,466,0,0.991438," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left(4 \, b d^{2} r^{4} + 12 \, b d^{2} r^{3} + 13 \, b d^{2} r^{2} + 6 \, b d^{2} r + b d^{2}\right)} x \log\left(c\right) + {\left(4 \, b d^{2} n r^{4} + 12 \, b d^{2} n r^{3} + 13 \, b d^{2} n r^{2} + 6 \, b d^{2} n r + b d^{2} n\right)} x \log\left(x\right) - {\left(4 \, {\left(b d^{2} n - a d^{2}\right)} r^{4} + b d^{2} n + 12 \, {\left(b d^{2} n - a d^{2}\right)} r^{3} - a d^{2} + 13 \, {\left(b d^{2} n - a d^{2}\right)} r^{2} + 6 \, {\left(b d^{2} n - a d^{2}\right)} r\right)} x + {\left({\left(2 \, b e^{2} r^{3} + 5 \, b e^{2} r^{2} + 4 \, b e^{2} r + b e^{2}\right)} x \log\left(c\right) + {\left(2 \, b e^{2} n r^{3} + 5 \, b e^{2} n r^{2} + 4 \, b e^{2} n r + b e^{2} n\right)} x \log\left(x\right) + {\left(2 \, a e^{2} r^{3} - b e^{2} n + a e^{2} - {\left(b e^{2} n - 5 \, a e^{2}\right)} r^{2} - 2 \, {\left(b e^{2} n - 2 \, a e^{2}\right)} r\right)} x\right)} x^{2 \, r} + 2 \, {\left({\left(4 \, b d e r^{3} + 8 \, b d e r^{2} + 5 \, b d e r + b d e\right)} x \log\left(c\right) + {\left(4 \, b d e n r^{3} + 8 \, b d e n r^{2} + 5 \, b d e n r + b d e n\right)} x \log\left(x\right) + {\left(4 \, a d e r^{3} - b d e n + a d e - 4 \, {\left(b d e n - 2 \, a d e\right)} r^{2} - {\left(4 \, b d e n - 5 \, a d e\right)} r\right)} x\right)} x^{r}}{4 \, r^{4} + 12 \, r^{3} + 13 \, r^{2} + 6 \, r + 1}"," ",0,"((4*b*d^2*r^4 + 12*b*d^2*r^3 + 13*b*d^2*r^2 + 6*b*d^2*r + b*d^2)*x*log(c) + (4*b*d^2*n*r^4 + 12*b*d^2*n*r^3 + 13*b*d^2*n*r^2 + 6*b*d^2*n*r + b*d^2*n)*x*log(x) - (4*(b*d^2*n - a*d^2)*r^4 + b*d^2*n + 12*(b*d^2*n - a*d^2)*r^3 - a*d^2 + 13*(b*d^2*n - a*d^2)*r^2 + 6*(b*d^2*n - a*d^2)*r)*x + ((2*b*e^2*r^3 + 5*b*e^2*r^2 + 4*b*e^2*r + b*e^2)*x*log(c) + (2*b*e^2*n*r^3 + 5*b*e^2*n*r^2 + 4*b*e^2*n*r + b*e^2*n)*x*log(x) + (2*a*e^2*r^3 - b*e^2*n + a*e^2 - (b*e^2*n - 5*a*e^2)*r^2 - 2*(b*e^2*n - 2*a*e^2)*r)*x)*x^(2*r) + 2*((4*b*d*e*r^3 + 8*b*d*e*r^2 + 5*b*d*e*r + b*d*e)*x*log(c) + (4*b*d*e*n*r^3 + 8*b*d*e*n*r^2 + 5*b*d*e*n*r + b*d*e*n)*x*log(x) + (4*a*d*e*r^3 - b*d*e*n + a*d*e - 4*(b*d*e*n - 2*a*d*e)*r^2 - (4*b*d*e*n - 5*a*d*e)*r)*x)*x^r)/(4*r^4 + 12*r^3 + 13*r^2 + 6*r + 1)","B",0
388,1,455,0,0.902169," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","-\frac{4 \, {\left(b d^{2} n + a d^{2}\right)} r^{4} + b d^{2} n - 12 \, {\left(b d^{2} n + a d^{2}\right)} r^{3} + a d^{2} + 13 \, {\left(b d^{2} n + a d^{2}\right)} r^{2} - 6 \, {\left(b d^{2} n + a d^{2}\right)} r - {\left(2 \, a e^{2} r^{3} - b e^{2} n - a e^{2} - {\left(b e^{2} n + 5 \, a e^{2}\right)} r^{2} + 2 \, {\left(b e^{2} n + 2 \, a e^{2}\right)} r + {\left(2 \, b e^{2} r^{3} - 5 \, b e^{2} r^{2} + 4 \, b e^{2} r - b e^{2}\right)} \log\left(c\right) + {\left(2 \, b e^{2} n r^{3} - 5 \, b e^{2} n r^{2} + 4 \, b e^{2} n r - b e^{2} n\right)} \log\left(x\right)\right)} x^{2 \, r} - 2 \, {\left(4 \, a d e r^{3} - b d e n - a d e - 4 \, {\left(b d e n + 2 \, a d e\right)} r^{2} + {\left(4 \, b d e n + 5 \, a d e\right)} r + {\left(4 \, b d e r^{3} - 8 \, b d e r^{2} + 5 \, b d e r - b d e\right)} \log\left(c\right) + {\left(4 \, b d e n r^{3} - 8 \, b d e n r^{2} + 5 \, b d e n r - b d e n\right)} \log\left(x\right)\right)} x^{r} + {\left(4 \, b d^{2} r^{4} - 12 \, b d^{2} r^{3} + 13 \, b d^{2} r^{2} - 6 \, b d^{2} r + b d^{2}\right)} \log\left(c\right) + {\left(4 \, b d^{2} n r^{4} - 12 \, b d^{2} n r^{3} + 13 \, b d^{2} n r^{2} - 6 \, b d^{2} n r + b d^{2} n\right)} \log\left(x\right)}{{\left(4 \, r^{4} - 12 \, r^{3} + 13 \, r^{2} - 6 \, r + 1\right)} x}"," ",0,"-(4*(b*d^2*n + a*d^2)*r^4 + b*d^2*n - 12*(b*d^2*n + a*d^2)*r^3 + a*d^2 + 13*(b*d^2*n + a*d^2)*r^2 - 6*(b*d^2*n + a*d^2)*r - (2*a*e^2*r^3 - b*e^2*n - a*e^2 - (b*e^2*n + 5*a*e^2)*r^2 + 2*(b*e^2*n + 2*a*e^2)*r + (2*b*e^2*r^3 - 5*b*e^2*r^2 + 4*b*e^2*r - b*e^2)*log(c) + (2*b*e^2*n*r^3 - 5*b*e^2*n*r^2 + 4*b*e^2*n*r - b*e^2*n)*log(x))*x^(2*r) - 2*(4*a*d*e*r^3 - b*d*e*n - a*d*e - 4*(b*d*e*n + 2*a*d*e)*r^2 + (4*b*d*e*n + 5*a*d*e)*r + (4*b*d*e*r^3 - 8*b*d*e*r^2 + 5*b*d*e*r - b*d*e)*log(c) + (4*b*d*e*n*r^3 - 8*b*d*e*n*r^2 + 5*b*d*e*n*r - b*d*e*n)*log(x))*x^r + (4*b*d^2*r^4 - 12*b*d^2*r^3 + 13*b*d^2*r^2 - 6*b*d^2*r + b*d^2)*log(c) + (4*b*d^2*n*r^4 - 12*b*d^2*n*r^3 + 13*b*d^2*n*r^2 - 6*b*d^2*n*r + b*d^2*n)*log(x))/((4*r^4 - 12*r^3 + 13*r^2 - 6*r + 1)*x)","B",0
389,1,466,0,0.894699," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^4,x, algorithm=""fricas"")","-\frac{4 \, {\left(b d^{2} n + 3 \, a d^{2}\right)} r^{4} + 81 \, b d^{2} n - 36 \, {\left(b d^{2} n + 3 \, a d^{2}\right)} r^{3} + 243 \, a d^{2} + 117 \, {\left(b d^{2} n + 3 \, a d^{2}\right)} r^{2} - 162 \, {\left(b d^{2} n + 3 \, a d^{2}\right)} r - 9 \, {\left(2 \, a e^{2} r^{3} - 9 \, b e^{2} n - 27 \, a e^{2} - {\left(b e^{2} n + 15 \, a e^{2}\right)} r^{2} + 6 \, {\left(b e^{2} n + 6 \, a e^{2}\right)} r + {\left(2 \, b e^{2} r^{3} - 15 \, b e^{2} r^{2} + 36 \, b e^{2} r - 27 \, b e^{2}\right)} \log\left(c\right) + {\left(2 \, b e^{2} n r^{3} - 15 \, b e^{2} n r^{2} + 36 \, b e^{2} n r - 27 \, b e^{2} n\right)} \log\left(x\right)\right)} x^{2 \, r} - 18 \, {\left(4 \, a d e r^{3} - 9 \, b d e n - 27 \, a d e - 4 \, {\left(b d e n + 6 \, a d e\right)} r^{2} + 3 \, {\left(4 \, b d e n + 15 \, a d e\right)} r + {\left(4 \, b d e r^{3} - 24 \, b d e r^{2} + 45 \, b d e r - 27 \, b d e\right)} \log\left(c\right) + {\left(4 \, b d e n r^{3} - 24 \, b d e n r^{2} + 45 \, b d e n r - 27 \, b d e n\right)} \log\left(x\right)\right)} x^{r} + 3 \, {\left(4 \, b d^{2} r^{4} - 36 \, b d^{2} r^{3} + 117 \, b d^{2} r^{2} - 162 \, b d^{2} r + 81 \, b d^{2}\right)} \log\left(c\right) + 3 \, {\left(4 \, b d^{2} n r^{4} - 36 \, b d^{2} n r^{3} + 117 \, b d^{2} n r^{2} - 162 \, b d^{2} n r + 81 \, b d^{2} n\right)} \log\left(x\right)}{9 \, {\left(4 \, r^{4} - 36 \, r^{3} + 117 \, r^{2} - 162 \, r + 81\right)} x^{3}}"," ",0,"-1/9*(4*(b*d^2*n + 3*a*d^2)*r^4 + 81*b*d^2*n - 36*(b*d^2*n + 3*a*d^2)*r^3 + 243*a*d^2 + 117*(b*d^2*n + 3*a*d^2)*r^2 - 162*(b*d^2*n + 3*a*d^2)*r - 9*(2*a*e^2*r^3 - 9*b*e^2*n - 27*a*e^2 - (b*e^2*n + 15*a*e^2)*r^2 + 6*(b*e^2*n + 6*a*e^2)*r + (2*b*e^2*r^3 - 15*b*e^2*r^2 + 36*b*e^2*r - 27*b*e^2)*log(c) + (2*b*e^2*n*r^3 - 15*b*e^2*n*r^2 + 36*b*e^2*n*r - 27*b*e^2*n)*log(x))*x^(2*r) - 18*(4*a*d*e*r^3 - 9*b*d*e*n - 27*a*d*e - 4*(b*d*e*n + 6*a*d*e)*r^2 + 3*(4*b*d*e*n + 15*a*d*e)*r + (4*b*d*e*r^3 - 24*b*d*e*r^2 + 45*b*d*e*r - 27*b*d*e)*log(c) + (4*b*d*e*n*r^3 - 24*b*d*e*n*r^2 + 45*b*d*e*n*r - 27*b*d*e*n)*log(x))*x^r + 3*(4*b*d^2*r^4 - 36*b*d^2*r^3 + 117*b*d^2*r^2 - 162*b*d^2*r + 81*b*d^2)*log(c) + 3*(4*b*d^2*n*r^4 - 36*b*d^2*n*r^3 + 117*b*d^2*n*r^2 - 162*b*d^2*n*r + 81*b*d^2*n)*log(x))/((4*r^4 - 36*r^3 + 117*r^2 - 162*r + 81)*x^3)","B",0
390,1,466,0,0.887411," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^6,x, algorithm=""fricas"")","-\frac{4 \, {\left(b d^{2} n + 5 \, a d^{2}\right)} r^{4} + 625 \, b d^{2} n - 60 \, {\left(b d^{2} n + 5 \, a d^{2}\right)} r^{3} + 3125 \, a d^{2} + 325 \, {\left(b d^{2} n + 5 \, a d^{2}\right)} r^{2} - 750 \, {\left(b d^{2} n + 5 \, a d^{2}\right)} r - 25 \, {\left(2 \, a e^{2} r^{3} - 25 \, b e^{2} n - 125 \, a e^{2} - {\left(b e^{2} n + 25 \, a e^{2}\right)} r^{2} + 10 \, {\left(b e^{2} n + 10 \, a e^{2}\right)} r + {\left(2 \, b e^{2} r^{3} - 25 \, b e^{2} r^{2} + 100 \, b e^{2} r - 125 \, b e^{2}\right)} \log\left(c\right) + {\left(2 \, b e^{2} n r^{3} - 25 \, b e^{2} n r^{2} + 100 \, b e^{2} n r - 125 \, b e^{2} n\right)} \log\left(x\right)\right)} x^{2 \, r} - 50 \, {\left(4 \, a d e r^{3} - 25 \, b d e n - 125 \, a d e - 4 \, {\left(b d e n + 10 \, a d e\right)} r^{2} + 5 \, {\left(4 \, b d e n + 25 \, a d e\right)} r + {\left(4 \, b d e r^{3} - 40 \, b d e r^{2} + 125 \, b d e r - 125 \, b d e\right)} \log\left(c\right) + {\left(4 \, b d e n r^{3} - 40 \, b d e n r^{2} + 125 \, b d e n r - 125 \, b d e n\right)} \log\left(x\right)\right)} x^{r} + 5 \, {\left(4 \, b d^{2} r^{4} - 60 \, b d^{2} r^{3} + 325 \, b d^{2} r^{2} - 750 \, b d^{2} r + 625 \, b d^{2}\right)} \log\left(c\right) + 5 \, {\left(4 \, b d^{2} n r^{4} - 60 \, b d^{2} n r^{3} + 325 \, b d^{2} n r^{2} - 750 \, b d^{2} n r + 625 \, b d^{2} n\right)} \log\left(x\right)}{25 \, {\left(4 \, r^{4} - 60 \, r^{3} + 325 \, r^{2} - 750 \, r + 625\right)} x^{5}}"," ",0,"-1/25*(4*(b*d^2*n + 5*a*d^2)*r^4 + 625*b*d^2*n - 60*(b*d^2*n + 5*a*d^2)*r^3 + 3125*a*d^2 + 325*(b*d^2*n + 5*a*d^2)*r^2 - 750*(b*d^2*n + 5*a*d^2)*r - 25*(2*a*e^2*r^3 - 25*b*e^2*n - 125*a*e^2 - (b*e^2*n + 25*a*e^2)*r^2 + 10*(b*e^2*n + 10*a*e^2)*r + (2*b*e^2*r^3 - 25*b*e^2*r^2 + 100*b*e^2*r - 125*b*e^2)*log(c) + (2*b*e^2*n*r^3 - 25*b*e^2*n*r^2 + 100*b*e^2*n*r - 125*b*e^2*n)*log(x))*x^(2*r) - 50*(4*a*d*e*r^3 - 25*b*d*e*n - 125*a*d*e - 4*(b*d*e*n + 10*a*d*e)*r^2 + 5*(4*b*d*e*n + 25*a*d*e)*r + (4*b*d*e*r^3 - 40*b*d*e*r^2 + 125*b*d*e*r - 125*b*d*e)*log(c) + (4*b*d*e*n*r^3 - 40*b*d*e*n*r^2 + 125*b*d*e*n*r - 125*b*d*e*n)*log(x))*x^r + 5*(4*b*d^2*r^4 - 60*b*d^2*r^3 + 325*b*d^2*r^2 - 750*b*d^2*r + 625*b*d^2)*log(c) + 5*(4*b*d^2*n*r^4 - 60*b*d^2*n*r^3 + 325*b*d^2*n*r^2 - 750*b*d^2*n*r + 625*b*d^2*n)*log(x))/((4*r^4 - 60*r^3 + 325*r^2 - 750*r + 625)*x^5)","B",0
391,1,466,0,0.959890," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^8,x, algorithm=""fricas"")","-\frac{4 \, {\left(b d^{2} n + 7 \, a d^{2}\right)} r^{4} + 2401 \, b d^{2} n - 84 \, {\left(b d^{2} n + 7 \, a d^{2}\right)} r^{3} + 16807 \, a d^{2} + 637 \, {\left(b d^{2} n + 7 \, a d^{2}\right)} r^{2} - 2058 \, {\left(b d^{2} n + 7 \, a d^{2}\right)} r - 49 \, {\left(2 \, a e^{2} r^{3} - 49 \, b e^{2} n - 343 \, a e^{2} - {\left(b e^{2} n + 35 \, a e^{2}\right)} r^{2} + 14 \, {\left(b e^{2} n + 14 \, a e^{2}\right)} r + {\left(2 \, b e^{2} r^{3} - 35 \, b e^{2} r^{2} + 196 \, b e^{2} r - 343 \, b e^{2}\right)} \log\left(c\right) + {\left(2 \, b e^{2} n r^{3} - 35 \, b e^{2} n r^{2} + 196 \, b e^{2} n r - 343 \, b e^{2} n\right)} \log\left(x\right)\right)} x^{2 \, r} - 98 \, {\left(4 \, a d e r^{3} - 49 \, b d e n - 343 \, a d e - 4 \, {\left(b d e n + 14 \, a d e\right)} r^{2} + 7 \, {\left(4 \, b d e n + 35 \, a d e\right)} r + {\left(4 \, b d e r^{3} - 56 \, b d e r^{2} + 245 \, b d e r - 343 \, b d e\right)} \log\left(c\right) + {\left(4 \, b d e n r^{3} - 56 \, b d e n r^{2} + 245 \, b d e n r - 343 \, b d e n\right)} \log\left(x\right)\right)} x^{r} + 7 \, {\left(4 \, b d^{2} r^{4} - 84 \, b d^{2} r^{3} + 637 \, b d^{2} r^{2} - 2058 \, b d^{2} r + 2401 \, b d^{2}\right)} \log\left(c\right) + 7 \, {\left(4 \, b d^{2} n r^{4} - 84 \, b d^{2} n r^{3} + 637 \, b d^{2} n r^{2} - 2058 \, b d^{2} n r + 2401 \, b d^{2} n\right)} \log\left(x\right)}{49 \, {\left(4 \, r^{4} - 84 \, r^{3} + 637 \, r^{2} - 2058 \, r + 2401\right)} x^{7}}"," ",0,"-1/49*(4*(b*d^2*n + 7*a*d^2)*r^4 + 2401*b*d^2*n - 84*(b*d^2*n + 7*a*d^2)*r^3 + 16807*a*d^2 + 637*(b*d^2*n + 7*a*d^2)*r^2 - 2058*(b*d^2*n + 7*a*d^2)*r - 49*(2*a*e^2*r^3 - 49*b*e^2*n - 343*a*e^2 - (b*e^2*n + 35*a*e^2)*r^2 + 14*(b*e^2*n + 14*a*e^2)*r + (2*b*e^2*r^3 - 35*b*e^2*r^2 + 196*b*e^2*r - 343*b*e^2)*log(c) + (2*b*e^2*n*r^3 - 35*b*e^2*n*r^2 + 196*b*e^2*n*r - 343*b*e^2*n)*log(x))*x^(2*r) - 98*(4*a*d*e*r^3 - 49*b*d*e*n - 343*a*d*e - 4*(b*d*e*n + 14*a*d*e)*r^2 + 7*(4*b*d*e*n + 35*a*d*e)*r + (4*b*d*e*r^3 - 56*b*d*e*r^2 + 245*b*d*e*r - 343*b*d*e)*log(c) + (4*b*d*e*n*r^3 - 56*b*d*e*n*r^2 + 245*b*d*e*n*r - 343*b*d*e*n)*log(x))*x^r + 7*(4*b*d^2*r^4 - 84*b*d^2*r^3 + 637*b*d^2*r^2 - 2058*b*d^2*r + 2401*b*d^2)*log(c) + 7*(4*b*d^2*n*r^4 - 84*b*d^2*n*r^3 + 637*b*d^2*n*r^2 - 2058*b*d^2*n*r + 2401*b*d^2*n)*log(x))/((4*r^4 - 84*r^3 + 637*r^2 - 2058*r + 2401)*x^7)","B",0
392,1,1011,0,0.830257," ","integrate(x^5*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{6 \, {\left(b d^{3} r^{6} + 22 \, b d^{3} r^{5} + 193 \, b d^{3} r^{4} + 864 \, b d^{3} r^{3} + 2088 \, b d^{3} r^{2} + 2592 \, b d^{3} r + 1296 \, b d^{3}\right)} x^{6} \log\left(c\right) + 6 \, {\left(b d^{3} n r^{6} + 22 \, b d^{3} n r^{5} + 193 \, b d^{3} n r^{4} + 864 \, b d^{3} n r^{3} + 2088 \, b d^{3} n r^{2} + 2592 \, b d^{3} n r + 1296 \, b d^{3} n\right)} x^{6} \log\left(x\right) - {\left({\left(b d^{3} n - 6 \, a d^{3}\right)} r^{6} + 22 \, {\left(b d^{3} n - 6 \, a d^{3}\right)} r^{5} + 1296 \, b d^{3} n + 193 \, {\left(b d^{3} n - 6 \, a d^{3}\right)} r^{4} - 7776 \, a d^{3} + 864 \, {\left(b d^{3} n - 6 \, a d^{3}\right)} r^{3} + 2088 \, {\left(b d^{3} n - 6 \, a d^{3}\right)} r^{2} + 2592 \, {\left(b d^{3} n - 6 \, a d^{3}\right)} r\right)} x^{6} + 4 \, {\left(3 \, {\left(b e^{3} r^{5} + 20 \, b e^{3} r^{4} + 153 \, b e^{3} r^{3} + 558 \, b e^{3} r^{2} + 972 \, b e^{3} r + 648 \, b e^{3}\right)} x^{6} \log\left(c\right) + 3 \, {\left(b e^{3} n r^{5} + 20 \, b e^{3} n r^{4} + 153 \, b e^{3} n r^{3} + 558 \, b e^{3} n r^{2} + 972 \, b e^{3} n r + 648 \, b e^{3} n\right)} x^{6} \log\left(x\right) + {\left(3 \, a e^{3} r^{5} - 324 \, b e^{3} n - {\left(b e^{3} n - 60 \, a e^{3}\right)} r^{4} + 1944 \, a e^{3} - 9 \, {\left(2 \, b e^{3} n - 51 \, a e^{3}\right)} r^{3} - 9 \, {\left(13 \, b e^{3} n - 186 \, a e^{3}\right)} r^{2} - 324 \, {\left(b e^{3} n - 9 \, a e^{3}\right)} r\right)} x^{6}\right)} x^{3 \, r} + 27 \, {\left(2 \, {\left(b d e^{2} r^{5} + 19 \, b d e^{2} r^{4} + 136 \, b d e^{2} r^{3} + 456 \, b d e^{2} r^{2} + 720 \, b d e^{2} r + 432 \, b d e^{2}\right)} x^{6} \log\left(c\right) + 2 \, {\left(b d e^{2} n r^{5} + 19 \, b d e^{2} n r^{4} + 136 \, b d e^{2} n r^{3} + 456 \, b d e^{2} n r^{2} + 720 \, b d e^{2} n r + 432 \, b d e^{2} n\right)} x^{6} \log\left(x\right) + {\left(2 \, a d e^{2} r^{5} - 144 \, b d e^{2} n - {\left(b d e^{2} n - 38 \, a d e^{2}\right)} r^{4} + 864 \, a d e^{2} - 16 \, {\left(b d e^{2} n - 17 \, a d e^{2}\right)} r^{3} - 8 \, {\left(11 \, b d e^{2} n - 114 \, a d e^{2}\right)} r^{2} - 96 \, {\left(2 \, b d e^{2} n - 15 \, a d e^{2}\right)} r\right)} x^{6}\right)} x^{2 \, r} + 108 \, {\left({\left(b d^{2} e r^{5} + 16 \, b d^{2} e r^{4} + 97 \, b d^{2} e r^{3} + 282 \, b d^{2} e r^{2} + 396 \, b d^{2} e r + 216 \, b d^{2} e\right)} x^{6} \log\left(c\right) + {\left(b d^{2} e n r^{5} + 16 \, b d^{2} e n r^{4} + 97 \, b d^{2} e n r^{3} + 282 \, b d^{2} e n r^{2} + 396 \, b d^{2} e n r + 216 \, b d^{2} e n\right)} x^{6} \log\left(x\right) + {\left(a d^{2} e r^{5} - 36 \, b d^{2} e n - {\left(b d^{2} e n - 16 \, a d^{2} e\right)} r^{4} + 216 \, a d^{2} e - {\left(10 \, b d^{2} e n - 97 \, a d^{2} e\right)} r^{3} - {\left(37 \, b d^{2} e n - 282 \, a d^{2} e\right)} r^{2} - 12 \, {\left(5 \, b d^{2} e n - 33 \, a d^{2} e\right)} r\right)} x^{6}\right)} x^{r}}{36 \, {\left(r^{6} + 22 \, r^{5} + 193 \, r^{4} + 864 \, r^{3} + 2088 \, r^{2} + 2592 \, r + 1296\right)}}"," ",0,"1/36*(6*(b*d^3*r^6 + 22*b*d^3*r^5 + 193*b*d^3*r^4 + 864*b*d^3*r^3 + 2088*b*d^3*r^2 + 2592*b*d^3*r + 1296*b*d^3)*x^6*log(c) + 6*(b*d^3*n*r^6 + 22*b*d^3*n*r^5 + 193*b*d^3*n*r^4 + 864*b*d^3*n*r^3 + 2088*b*d^3*n*r^2 + 2592*b*d^3*n*r + 1296*b*d^3*n)*x^6*log(x) - ((b*d^3*n - 6*a*d^3)*r^6 + 22*(b*d^3*n - 6*a*d^3)*r^5 + 1296*b*d^3*n + 193*(b*d^3*n - 6*a*d^3)*r^4 - 7776*a*d^3 + 864*(b*d^3*n - 6*a*d^3)*r^3 + 2088*(b*d^3*n - 6*a*d^3)*r^2 + 2592*(b*d^3*n - 6*a*d^3)*r)*x^6 + 4*(3*(b*e^3*r^5 + 20*b*e^3*r^4 + 153*b*e^3*r^3 + 558*b*e^3*r^2 + 972*b*e^3*r + 648*b*e^3)*x^6*log(c) + 3*(b*e^3*n*r^5 + 20*b*e^3*n*r^4 + 153*b*e^3*n*r^3 + 558*b*e^3*n*r^2 + 972*b*e^3*n*r + 648*b*e^3*n)*x^6*log(x) + (3*a*e^3*r^5 - 324*b*e^3*n - (b*e^3*n - 60*a*e^3)*r^4 + 1944*a*e^3 - 9*(2*b*e^3*n - 51*a*e^3)*r^3 - 9*(13*b*e^3*n - 186*a*e^3)*r^2 - 324*(b*e^3*n - 9*a*e^3)*r)*x^6)*x^(3*r) + 27*(2*(b*d*e^2*r^5 + 19*b*d*e^2*r^4 + 136*b*d*e^2*r^3 + 456*b*d*e^2*r^2 + 720*b*d*e^2*r + 432*b*d*e^2)*x^6*log(c) + 2*(b*d*e^2*n*r^5 + 19*b*d*e^2*n*r^4 + 136*b*d*e^2*n*r^3 + 456*b*d*e^2*n*r^2 + 720*b*d*e^2*n*r + 432*b*d*e^2*n)*x^6*log(x) + (2*a*d*e^2*r^5 - 144*b*d*e^2*n - (b*d*e^2*n - 38*a*d*e^2)*r^4 + 864*a*d*e^2 - 16*(b*d*e^2*n - 17*a*d*e^2)*r^3 - 8*(11*b*d*e^2*n - 114*a*d*e^2)*r^2 - 96*(2*b*d*e^2*n - 15*a*d*e^2)*r)*x^6)*x^(2*r) + 108*((b*d^2*e*r^5 + 16*b*d^2*e*r^4 + 97*b*d^2*e*r^3 + 282*b*d^2*e*r^2 + 396*b*d^2*e*r + 216*b*d^2*e)*x^6*log(c) + (b*d^2*e*n*r^5 + 16*b*d^2*e*n*r^4 + 97*b*d^2*e*n*r^3 + 282*b*d^2*e*n*r^2 + 396*b*d^2*e*n*r + 216*b*d^2*e*n)*x^6*log(x) + (a*d^2*e*r^5 - 36*b*d^2*e*n - (b*d^2*e*n - 16*a*d^2*e)*r^4 + 216*a*d^2*e - (10*b*d^2*e*n - 97*a*d^2*e)*r^3 - (37*b*d^2*e*n - 282*a*d^2*e)*r^2 - 12*(5*b*d^2*e*n - 33*a*d^2*e)*r)*x^6)*x^r)/(r^6 + 22*r^5 + 193*r^4 + 864*r^3 + 2088*r^2 + 2592*r + 1296)","B",0
393,1,1022,0,0.797206," ","integrate(x^3*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{4 \, {\left(9 \, b d^{3} r^{6} + 132 \, b d^{3} r^{5} + 772 \, b d^{3} r^{4} + 2304 \, b d^{3} r^{3} + 3712 \, b d^{3} r^{2} + 3072 \, b d^{3} r + 1024 \, b d^{3}\right)} x^{4} \log\left(c\right) + 4 \, {\left(9 \, b d^{3} n r^{6} + 132 \, b d^{3} n r^{5} + 772 \, b d^{3} n r^{4} + 2304 \, b d^{3} n r^{3} + 3712 \, b d^{3} n r^{2} + 3072 \, b d^{3} n r + 1024 \, b d^{3} n\right)} x^{4} \log\left(x\right) - {\left(9 \, {\left(b d^{3} n - 4 \, a d^{3}\right)} r^{6} + 132 \, {\left(b d^{3} n - 4 \, a d^{3}\right)} r^{5} + 1024 \, b d^{3} n + 772 \, {\left(b d^{3} n - 4 \, a d^{3}\right)} r^{4} - 4096 \, a d^{3} + 2304 \, {\left(b d^{3} n - 4 \, a d^{3}\right)} r^{3} + 3712 \, {\left(b d^{3} n - 4 \, a d^{3}\right)} r^{2} + 3072 \, {\left(b d^{3} n - 4 \, a d^{3}\right)} r\right)} x^{4} + 16 \, {\left({\left(3 \, b e^{3} r^{5} + 40 \, b e^{3} r^{4} + 204 \, b e^{3} r^{3} + 496 \, b e^{3} r^{2} + 576 \, b e^{3} r + 256 \, b e^{3}\right)} x^{4} \log\left(c\right) + {\left(3 \, b e^{3} n r^{5} + 40 \, b e^{3} n r^{4} + 204 \, b e^{3} n r^{3} + 496 \, b e^{3} n r^{2} + 576 \, b e^{3} n r + 256 \, b e^{3} n\right)} x^{4} \log\left(x\right) + {\left(3 \, a e^{3} r^{5} - 64 \, b e^{3} n - {\left(b e^{3} n - 40 \, a e^{3}\right)} r^{4} + 256 \, a e^{3} - 12 \, {\left(b e^{3} n - 17 \, a e^{3}\right)} r^{3} - 4 \, {\left(13 \, b e^{3} n - 124 \, a e^{3}\right)} r^{2} - 96 \, {\left(b e^{3} n - 6 \, a e^{3}\right)} r\right)} x^{4}\right)} x^{3 \, r} + 12 \, {\left(2 \, {\left(9 \, b d e^{2} r^{5} + 114 \, b d e^{2} r^{4} + 544 \, b d e^{2} r^{3} + 1216 \, b d e^{2} r^{2} + 1280 \, b d e^{2} r + 512 \, b d e^{2}\right)} x^{4} \log\left(c\right) + 2 \, {\left(9 \, b d e^{2} n r^{5} + 114 \, b d e^{2} n r^{4} + 544 \, b d e^{2} n r^{3} + 1216 \, b d e^{2} n r^{2} + 1280 \, b d e^{2} n r + 512 \, b d e^{2} n\right)} x^{4} \log\left(x\right) + {\left(18 \, a d e^{2} r^{5} - 256 \, b d e^{2} n - 3 \, {\left(3 \, b d e^{2} n - 76 \, a d e^{2}\right)} r^{4} + 1024 \, a d e^{2} - 32 \, {\left(3 \, b d e^{2} n - 34 \, a d e^{2}\right)} r^{3} - 32 \, {\left(11 \, b d e^{2} n - 76 \, a d e^{2}\right)} r^{2} - 512 \, {\left(b d e^{2} n - 5 \, a d e^{2}\right)} r\right)} x^{4}\right)} x^{2 \, r} + 48 \, {\left({\left(9 \, b d^{2} e r^{5} + 96 \, b d^{2} e r^{4} + 388 \, b d^{2} e r^{3} + 752 \, b d^{2} e r^{2} + 704 \, b d^{2} e r + 256 \, b d^{2} e\right)} x^{4} \log\left(c\right) + {\left(9 \, b d^{2} e n r^{5} + 96 \, b d^{2} e n r^{4} + 388 \, b d^{2} e n r^{3} + 752 \, b d^{2} e n r^{2} + 704 \, b d^{2} e n r + 256 \, b d^{2} e n\right)} x^{4} \log\left(x\right) + {\left(9 \, a d^{2} e r^{5} - 64 \, b d^{2} e n - 3 \, {\left(3 \, b d^{2} e n - 32 \, a d^{2} e\right)} r^{4} + 256 \, a d^{2} e - 4 \, {\left(15 \, b d^{2} e n - 97 \, a d^{2} e\right)} r^{3} - 4 \, {\left(37 \, b d^{2} e n - 188 \, a d^{2} e\right)} r^{2} - 32 \, {\left(5 \, b d^{2} e n - 22 \, a d^{2} e\right)} r\right)} x^{4}\right)} x^{r}}{16 \, {\left(9 \, r^{6} + 132 \, r^{5} + 772 \, r^{4} + 2304 \, r^{3} + 3712 \, r^{2} + 3072 \, r + 1024\right)}}"," ",0,"1/16*(4*(9*b*d^3*r^6 + 132*b*d^3*r^5 + 772*b*d^3*r^4 + 2304*b*d^3*r^3 + 3712*b*d^3*r^2 + 3072*b*d^3*r + 1024*b*d^3)*x^4*log(c) + 4*(9*b*d^3*n*r^6 + 132*b*d^3*n*r^5 + 772*b*d^3*n*r^4 + 2304*b*d^3*n*r^3 + 3712*b*d^3*n*r^2 + 3072*b*d^3*n*r + 1024*b*d^3*n)*x^4*log(x) - (9*(b*d^3*n - 4*a*d^3)*r^6 + 132*(b*d^3*n - 4*a*d^3)*r^5 + 1024*b*d^3*n + 772*(b*d^3*n - 4*a*d^3)*r^4 - 4096*a*d^3 + 2304*(b*d^3*n - 4*a*d^3)*r^3 + 3712*(b*d^3*n - 4*a*d^3)*r^2 + 3072*(b*d^3*n - 4*a*d^3)*r)*x^4 + 16*((3*b*e^3*r^5 + 40*b*e^3*r^4 + 204*b*e^3*r^3 + 496*b*e^3*r^2 + 576*b*e^3*r + 256*b*e^3)*x^4*log(c) + (3*b*e^3*n*r^5 + 40*b*e^3*n*r^4 + 204*b*e^3*n*r^3 + 496*b*e^3*n*r^2 + 576*b*e^3*n*r + 256*b*e^3*n)*x^4*log(x) + (3*a*e^3*r^5 - 64*b*e^3*n - (b*e^3*n - 40*a*e^3)*r^4 + 256*a*e^3 - 12*(b*e^3*n - 17*a*e^3)*r^3 - 4*(13*b*e^3*n - 124*a*e^3)*r^2 - 96*(b*e^3*n - 6*a*e^3)*r)*x^4)*x^(3*r) + 12*(2*(9*b*d*e^2*r^5 + 114*b*d*e^2*r^4 + 544*b*d*e^2*r^3 + 1216*b*d*e^2*r^2 + 1280*b*d*e^2*r + 512*b*d*e^2)*x^4*log(c) + 2*(9*b*d*e^2*n*r^5 + 114*b*d*e^2*n*r^4 + 544*b*d*e^2*n*r^3 + 1216*b*d*e^2*n*r^2 + 1280*b*d*e^2*n*r + 512*b*d*e^2*n)*x^4*log(x) + (18*a*d*e^2*r^5 - 256*b*d*e^2*n - 3*(3*b*d*e^2*n - 76*a*d*e^2)*r^4 + 1024*a*d*e^2 - 32*(3*b*d*e^2*n - 34*a*d*e^2)*r^3 - 32*(11*b*d*e^2*n - 76*a*d*e^2)*r^2 - 512*(b*d*e^2*n - 5*a*d*e^2)*r)*x^4)*x^(2*r) + 48*((9*b*d^2*e*r^5 + 96*b*d^2*e*r^4 + 388*b*d^2*e*r^3 + 752*b*d^2*e*r^2 + 704*b*d^2*e*r + 256*b*d^2*e)*x^4*log(c) + (9*b*d^2*e*n*r^5 + 96*b*d^2*e*n*r^4 + 388*b*d^2*e*n*r^3 + 752*b*d^2*e*n*r^2 + 704*b*d^2*e*n*r + 256*b*d^2*e*n)*x^4*log(x) + (9*a*d^2*e*r^5 - 64*b*d^2*e*n - 3*(3*b*d^2*e*n - 32*a*d^2*e)*r^4 + 256*a*d^2*e - 4*(15*b*d^2*e*n - 97*a*d^2*e)*r^3 - 4*(37*b*d^2*e*n - 188*a*d^2*e)*r^2 - 32*(5*b*d^2*e*n - 22*a*d^2*e)*r)*x^4)*x^r)/(9*r^6 + 132*r^5 + 772*r^4 + 2304*r^3 + 3712*r^2 + 3072*r + 1024)","B",0
394,1,1024,0,0.627527," ","integrate(x*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{2 \, {\left(9 \, b d^{3} r^{6} + 66 \, b d^{3} r^{5} + 193 \, b d^{3} r^{4} + 288 \, b d^{3} r^{3} + 232 \, b d^{3} r^{2} + 96 \, b d^{3} r + 16 \, b d^{3}\right)} x^{2} \log\left(c\right) + 2 \, {\left(9 \, b d^{3} n r^{6} + 66 \, b d^{3} n r^{5} + 193 \, b d^{3} n r^{4} + 288 \, b d^{3} n r^{3} + 232 \, b d^{3} n r^{2} + 96 \, b d^{3} n r + 16 \, b d^{3} n\right)} x^{2} \log\left(x\right) - {\left(9 \, {\left(b d^{3} n - 2 \, a d^{3}\right)} r^{6} + 66 \, {\left(b d^{3} n - 2 \, a d^{3}\right)} r^{5} + 16 \, b d^{3} n + 193 \, {\left(b d^{3} n - 2 \, a d^{3}\right)} r^{4} - 32 \, a d^{3} + 288 \, {\left(b d^{3} n - 2 \, a d^{3}\right)} r^{3} + 232 \, {\left(b d^{3} n - 2 \, a d^{3}\right)} r^{2} + 96 \, {\left(b d^{3} n - 2 \, a d^{3}\right)} r\right)} x^{2} + 4 \, {\left({\left(3 \, b e^{3} r^{5} + 20 \, b e^{3} r^{4} + 51 \, b e^{3} r^{3} + 62 \, b e^{3} r^{2} + 36 \, b e^{3} r + 8 \, b e^{3}\right)} x^{2} \log\left(c\right) + {\left(3 \, b e^{3} n r^{5} + 20 \, b e^{3} n r^{4} + 51 \, b e^{3} n r^{3} + 62 \, b e^{3} n r^{2} + 36 \, b e^{3} n r + 8 \, b e^{3} n\right)} x^{2} \log\left(x\right) + {\left(3 \, a e^{3} r^{5} - 4 \, b e^{3} n - {\left(b e^{3} n - 20 \, a e^{3}\right)} r^{4} + 8 \, a e^{3} - 3 \, {\left(2 \, b e^{3} n - 17 \, a e^{3}\right)} r^{3} - {\left(13 \, b e^{3} n - 62 \, a e^{3}\right)} r^{2} - 12 \, {\left(b e^{3} n - 3 \, a e^{3}\right)} r\right)} x^{2}\right)} x^{3 \, r} + 3 \, {\left(2 \, {\left(9 \, b d e^{2} r^{5} + 57 \, b d e^{2} r^{4} + 136 \, b d e^{2} r^{3} + 152 \, b d e^{2} r^{2} + 80 \, b d e^{2} r + 16 \, b d e^{2}\right)} x^{2} \log\left(c\right) + 2 \, {\left(9 \, b d e^{2} n r^{5} + 57 \, b d e^{2} n r^{4} + 136 \, b d e^{2} n r^{3} + 152 \, b d e^{2} n r^{2} + 80 \, b d e^{2} n r + 16 \, b d e^{2} n\right)} x^{2} \log\left(x\right) + {\left(18 \, a d e^{2} r^{5} - 16 \, b d e^{2} n - 3 \, {\left(3 \, b d e^{2} n - 38 \, a d e^{2}\right)} r^{4} + 32 \, a d e^{2} - 16 \, {\left(3 \, b d e^{2} n - 17 \, a d e^{2}\right)} r^{3} - 8 \, {\left(11 \, b d e^{2} n - 38 \, a d e^{2}\right)} r^{2} - 32 \, {\left(2 \, b d e^{2} n - 5 \, a d e^{2}\right)} r\right)} x^{2}\right)} x^{2 \, r} + 12 \, {\left({\left(9 \, b d^{2} e r^{5} + 48 \, b d^{2} e r^{4} + 97 \, b d^{2} e r^{3} + 94 \, b d^{2} e r^{2} + 44 \, b d^{2} e r + 8 \, b d^{2} e\right)} x^{2} \log\left(c\right) + {\left(9 \, b d^{2} e n r^{5} + 48 \, b d^{2} e n r^{4} + 97 \, b d^{2} e n r^{3} + 94 \, b d^{2} e n r^{2} + 44 \, b d^{2} e n r + 8 \, b d^{2} e n\right)} x^{2} \log\left(x\right) + {\left(9 \, a d^{2} e r^{5} - 4 \, b d^{2} e n - 3 \, {\left(3 \, b d^{2} e n - 16 \, a d^{2} e\right)} r^{4} + 8 \, a d^{2} e - {\left(30 \, b d^{2} e n - 97 \, a d^{2} e\right)} r^{3} - {\left(37 \, b d^{2} e n - 94 \, a d^{2} e\right)} r^{2} - 4 \, {\left(5 \, b d^{2} e n - 11 \, a d^{2} e\right)} r\right)} x^{2}\right)} x^{r}}{4 \, {\left(9 \, r^{6} + 66 \, r^{5} + 193 \, r^{4} + 288 \, r^{3} + 232 \, r^{2} + 96 \, r + 16\right)}}"," ",0,"1/4*(2*(9*b*d^3*r^6 + 66*b*d^3*r^5 + 193*b*d^3*r^4 + 288*b*d^3*r^3 + 232*b*d^3*r^2 + 96*b*d^3*r + 16*b*d^3)*x^2*log(c) + 2*(9*b*d^3*n*r^6 + 66*b*d^3*n*r^5 + 193*b*d^3*n*r^4 + 288*b*d^3*n*r^3 + 232*b*d^3*n*r^2 + 96*b*d^3*n*r + 16*b*d^3*n)*x^2*log(x) - (9*(b*d^3*n - 2*a*d^3)*r^6 + 66*(b*d^3*n - 2*a*d^3)*r^5 + 16*b*d^3*n + 193*(b*d^3*n - 2*a*d^3)*r^4 - 32*a*d^3 + 288*(b*d^3*n - 2*a*d^3)*r^3 + 232*(b*d^3*n - 2*a*d^3)*r^2 + 96*(b*d^3*n - 2*a*d^3)*r)*x^2 + 4*((3*b*e^3*r^5 + 20*b*e^3*r^4 + 51*b*e^3*r^3 + 62*b*e^3*r^2 + 36*b*e^3*r + 8*b*e^3)*x^2*log(c) + (3*b*e^3*n*r^5 + 20*b*e^3*n*r^4 + 51*b*e^3*n*r^3 + 62*b*e^3*n*r^2 + 36*b*e^3*n*r + 8*b*e^3*n)*x^2*log(x) + (3*a*e^3*r^5 - 4*b*e^3*n - (b*e^3*n - 20*a*e^3)*r^4 + 8*a*e^3 - 3*(2*b*e^3*n - 17*a*e^3)*r^3 - (13*b*e^3*n - 62*a*e^3)*r^2 - 12*(b*e^3*n - 3*a*e^3)*r)*x^2)*x^(3*r) + 3*(2*(9*b*d*e^2*r^5 + 57*b*d*e^2*r^4 + 136*b*d*e^2*r^3 + 152*b*d*e^2*r^2 + 80*b*d*e^2*r + 16*b*d*e^2)*x^2*log(c) + 2*(9*b*d*e^2*n*r^5 + 57*b*d*e^2*n*r^4 + 136*b*d*e^2*n*r^3 + 152*b*d*e^2*n*r^2 + 80*b*d*e^2*n*r + 16*b*d*e^2*n)*x^2*log(x) + (18*a*d*e^2*r^5 - 16*b*d*e^2*n - 3*(3*b*d*e^2*n - 38*a*d*e^2)*r^4 + 32*a*d*e^2 - 16*(3*b*d*e^2*n - 17*a*d*e^2)*r^3 - 8*(11*b*d*e^2*n - 38*a*d*e^2)*r^2 - 32*(2*b*d*e^2*n - 5*a*d*e^2)*r)*x^2)*x^(2*r) + 12*((9*b*d^2*e*r^5 + 48*b*d^2*e*r^4 + 97*b*d^2*e*r^3 + 94*b*d^2*e*r^2 + 44*b*d^2*e*r + 8*b*d^2*e)*x^2*log(c) + (9*b*d^2*e*n*r^5 + 48*b*d^2*e*n*r^4 + 97*b*d^2*e*n*r^3 + 94*b*d^2*e*n*r^2 + 44*b*d^2*e*n*r + 8*b*d^2*e*n)*x^2*log(x) + (9*a*d^2*e*r^5 - 4*b*d^2*e*n - 3*(3*b*d^2*e*n - 16*a*d^2*e)*r^4 + 8*a*d^2*e - (30*b*d^2*e*n - 97*a*d^2*e)*r^3 - (37*b*d^2*e*n - 94*a*d^2*e)*r^2 - 4*(5*b*d^2*e*n - 11*a*d^2*e)*r)*x^2)*x^r)/(9*r^6 + 66*r^5 + 193*r^4 + 288*r^3 + 232*r^2 + 96*r + 16)","B",0
395,1,169,0,0.743660," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{18 \, b d^{3} n r^{2} \log\left(x\right)^{2} + 4 \, {\left(3 \, b e^{3} n r \log\left(x\right) + 3 \, b e^{3} r \log\left(c\right) - b e^{3} n + 3 \, a e^{3} r\right)} x^{3 \, r} + 27 \, {\left(2 \, b d e^{2} n r \log\left(x\right) + 2 \, b d e^{2} r \log\left(c\right) - b d e^{2} n + 2 \, a d e^{2} r\right)} x^{2 \, r} + 108 \, {\left(b d^{2} e n r \log\left(x\right) + b d^{2} e r \log\left(c\right) - b d^{2} e n + a d^{2} e r\right)} x^{r} + 36 \, {\left(b d^{3} r^{2} \log\left(c\right) + a d^{3} r^{2}\right)} \log\left(x\right)}{36 \, r^{2}}"," ",0,"1/36*(18*b*d^3*n*r^2*log(x)^2 + 4*(3*b*e^3*n*r*log(x) + 3*b*e^3*r*log(c) - b*e^3*n + 3*a*e^3*r)*x^(3*r) + 27*(2*b*d*e^2*n*r*log(x) + 2*b*d*e^2*r*log(c) - b*d*e^2*n + 2*a*d*e^2*r)*x^(2*r) + 108*(b*d^2*e*n*r*log(x) + b*d^2*e*r*log(c) - b*d^2*e*n + a*d^2*e*r)*x^r + 36*(b*d^3*r^2*log(c) + a*d^3*r^2)*log(x))/r^2","A",0
396,1,981,0,0.925725," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^3,x, algorithm=""fricas"")","-\frac{9 \, {\left(b d^{3} n + 2 \, a d^{3}\right)} r^{6} - 66 \, {\left(b d^{3} n + 2 \, a d^{3}\right)} r^{5} + 16 \, b d^{3} n + 193 \, {\left(b d^{3} n + 2 \, a d^{3}\right)} r^{4} + 32 \, a d^{3} - 288 \, {\left(b d^{3} n + 2 \, a d^{3}\right)} r^{3} + 232 \, {\left(b d^{3} n + 2 \, a d^{3}\right)} r^{2} - 96 \, {\left(b d^{3} n + 2 \, a d^{3}\right)} r - 4 \, {\left(3 \, a e^{3} r^{5} - 4 \, b e^{3} n - {\left(b e^{3} n + 20 \, a e^{3}\right)} r^{4} - 8 \, a e^{3} + 3 \, {\left(2 \, b e^{3} n + 17 \, a e^{3}\right)} r^{3} - {\left(13 \, b e^{3} n + 62 \, a e^{3}\right)} r^{2} + 12 \, {\left(b e^{3} n + 3 \, a e^{3}\right)} r + {\left(3 \, b e^{3} r^{5} - 20 \, b e^{3} r^{4} + 51 \, b e^{3} r^{3} - 62 \, b e^{3} r^{2} + 36 \, b e^{3} r - 8 \, b e^{3}\right)} \log\left(c\right) + {\left(3 \, b e^{3} n r^{5} - 20 \, b e^{3} n r^{4} + 51 \, b e^{3} n r^{3} - 62 \, b e^{3} n r^{2} + 36 \, b e^{3} n r - 8 \, b e^{3} n\right)} \log\left(x\right)\right)} x^{3 \, r} - 3 \, {\left(18 \, a d e^{2} r^{5} - 16 \, b d e^{2} n - 3 \, {\left(3 \, b d e^{2} n + 38 \, a d e^{2}\right)} r^{4} - 32 \, a d e^{2} + 16 \, {\left(3 \, b d e^{2} n + 17 \, a d e^{2}\right)} r^{3} - 8 \, {\left(11 \, b d e^{2} n + 38 \, a d e^{2}\right)} r^{2} + 32 \, {\left(2 \, b d e^{2} n + 5 \, a d e^{2}\right)} r + 2 \, {\left(9 \, b d e^{2} r^{5} - 57 \, b d e^{2} r^{4} + 136 \, b d e^{2} r^{3} - 152 \, b d e^{2} r^{2} + 80 \, b d e^{2} r - 16 \, b d e^{2}\right)} \log\left(c\right) + 2 \, {\left(9 \, b d e^{2} n r^{5} - 57 \, b d e^{2} n r^{4} + 136 \, b d e^{2} n r^{3} - 152 \, b d e^{2} n r^{2} + 80 \, b d e^{2} n r - 16 \, b d e^{2} n\right)} \log\left(x\right)\right)} x^{2 \, r} - 12 \, {\left(9 \, a d^{2} e r^{5} - 4 \, b d^{2} e n - 3 \, {\left(3 \, b d^{2} e n + 16 \, a d^{2} e\right)} r^{4} - 8 \, a d^{2} e + {\left(30 \, b d^{2} e n + 97 \, a d^{2} e\right)} r^{3} - {\left(37 \, b d^{2} e n + 94 \, a d^{2} e\right)} r^{2} + 4 \, {\left(5 \, b d^{2} e n + 11 \, a d^{2} e\right)} r + {\left(9 \, b d^{2} e r^{5} - 48 \, b d^{2} e r^{4} + 97 \, b d^{2} e r^{3} - 94 \, b d^{2} e r^{2} + 44 \, b d^{2} e r - 8 \, b d^{2} e\right)} \log\left(c\right) + {\left(9 \, b d^{2} e n r^{5} - 48 \, b d^{2} e n r^{4} + 97 \, b d^{2} e n r^{3} - 94 \, b d^{2} e n r^{2} + 44 \, b d^{2} e n r - 8 \, b d^{2} e n\right)} \log\left(x\right)\right)} x^{r} + 2 \, {\left(9 \, b d^{3} r^{6} - 66 \, b d^{3} r^{5} + 193 \, b d^{3} r^{4} - 288 \, b d^{3} r^{3} + 232 \, b d^{3} r^{2} - 96 \, b d^{3} r + 16 \, b d^{3}\right)} \log\left(c\right) + 2 \, {\left(9 \, b d^{3} n r^{6} - 66 \, b d^{3} n r^{5} + 193 \, b d^{3} n r^{4} - 288 \, b d^{3} n r^{3} + 232 \, b d^{3} n r^{2} - 96 \, b d^{3} n r + 16 \, b d^{3} n\right)} \log\left(x\right)}{4 \, {\left(9 \, r^{6} - 66 \, r^{5} + 193 \, r^{4} - 288 \, r^{3} + 232 \, r^{2} - 96 \, r + 16\right)} x^{2}}"," ",0,"-1/4*(9*(b*d^3*n + 2*a*d^3)*r^6 - 66*(b*d^3*n + 2*a*d^3)*r^5 + 16*b*d^3*n + 193*(b*d^3*n + 2*a*d^3)*r^4 + 32*a*d^3 - 288*(b*d^3*n + 2*a*d^3)*r^3 + 232*(b*d^3*n + 2*a*d^3)*r^2 - 96*(b*d^3*n + 2*a*d^3)*r - 4*(3*a*e^3*r^5 - 4*b*e^3*n - (b*e^3*n + 20*a*e^3)*r^4 - 8*a*e^3 + 3*(2*b*e^3*n + 17*a*e^3)*r^3 - (13*b*e^3*n + 62*a*e^3)*r^2 + 12*(b*e^3*n + 3*a*e^3)*r + (3*b*e^3*r^5 - 20*b*e^3*r^4 + 51*b*e^3*r^3 - 62*b*e^3*r^2 + 36*b*e^3*r - 8*b*e^3)*log(c) + (3*b*e^3*n*r^5 - 20*b*e^3*n*r^4 + 51*b*e^3*n*r^3 - 62*b*e^3*n*r^2 + 36*b*e^3*n*r - 8*b*e^3*n)*log(x))*x^(3*r) - 3*(18*a*d*e^2*r^5 - 16*b*d*e^2*n - 3*(3*b*d*e^2*n + 38*a*d*e^2)*r^4 - 32*a*d*e^2 + 16*(3*b*d*e^2*n + 17*a*d*e^2)*r^3 - 8*(11*b*d*e^2*n + 38*a*d*e^2)*r^2 + 32*(2*b*d*e^2*n + 5*a*d*e^2)*r + 2*(9*b*d*e^2*r^5 - 57*b*d*e^2*r^4 + 136*b*d*e^2*r^3 - 152*b*d*e^2*r^2 + 80*b*d*e^2*r - 16*b*d*e^2)*log(c) + 2*(9*b*d*e^2*n*r^5 - 57*b*d*e^2*n*r^4 + 136*b*d*e^2*n*r^3 - 152*b*d*e^2*n*r^2 + 80*b*d*e^2*n*r - 16*b*d*e^2*n)*log(x))*x^(2*r) - 12*(9*a*d^2*e*r^5 - 4*b*d^2*e*n - 3*(3*b*d^2*e*n + 16*a*d^2*e)*r^4 - 8*a*d^2*e + (30*b*d^2*e*n + 97*a*d^2*e)*r^3 - (37*b*d^2*e*n + 94*a*d^2*e)*r^2 + 4*(5*b*d^2*e*n + 11*a*d^2*e)*r + (9*b*d^2*e*r^5 - 48*b*d^2*e*r^4 + 97*b*d^2*e*r^3 - 94*b*d^2*e*r^2 + 44*b*d^2*e*r - 8*b*d^2*e)*log(c) + (9*b*d^2*e*n*r^5 - 48*b*d^2*e*n*r^4 + 97*b*d^2*e*n*r^3 - 94*b*d^2*e*n*r^2 + 44*b*d^2*e*n*r - 8*b*d^2*e*n)*log(x))*x^r + 2*(9*b*d^3*r^6 - 66*b*d^3*r^5 + 193*b*d^3*r^4 - 288*b*d^3*r^3 + 232*b*d^3*r^2 - 96*b*d^3*r + 16*b*d^3)*log(c) + 2*(9*b*d^3*n*r^6 - 66*b*d^3*n*r^5 + 193*b*d^3*n*r^4 - 288*b*d^3*n*r^3 + 232*b*d^3*n*r^2 - 96*b*d^3*n*r + 16*b*d^3*n)*log(x))/((9*r^6 - 66*r^5 + 193*r^4 - 288*r^3 + 232*r^2 - 96*r + 16)*x^2)","B",0
397,1,980,0,0.817635," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^5,x, algorithm=""fricas"")","-\frac{9 \, {\left(b d^{3} n + 4 \, a d^{3}\right)} r^{6} - 132 \, {\left(b d^{3} n + 4 \, a d^{3}\right)} r^{5} + 1024 \, b d^{3} n + 772 \, {\left(b d^{3} n + 4 \, a d^{3}\right)} r^{4} + 4096 \, a d^{3} - 2304 \, {\left(b d^{3} n + 4 \, a d^{3}\right)} r^{3} + 3712 \, {\left(b d^{3} n + 4 \, a d^{3}\right)} r^{2} - 3072 \, {\left(b d^{3} n + 4 \, a d^{3}\right)} r - 16 \, {\left(3 \, a e^{3} r^{5} - 64 \, b e^{3} n - {\left(b e^{3} n + 40 \, a e^{3}\right)} r^{4} - 256 \, a e^{3} + 12 \, {\left(b e^{3} n + 17 \, a e^{3}\right)} r^{3} - 4 \, {\left(13 \, b e^{3} n + 124 \, a e^{3}\right)} r^{2} + 96 \, {\left(b e^{3} n + 6 \, a e^{3}\right)} r + {\left(3 \, b e^{3} r^{5} - 40 \, b e^{3} r^{4} + 204 \, b e^{3} r^{3} - 496 \, b e^{3} r^{2} + 576 \, b e^{3} r - 256 \, b e^{3}\right)} \log\left(c\right) + {\left(3 \, b e^{3} n r^{5} - 40 \, b e^{3} n r^{4} + 204 \, b e^{3} n r^{3} - 496 \, b e^{3} n r^{2} + 576 \, b e^{3} n r - 256 \, b e^{3} n\right)} \log\left(x\right)\right)} x^{3 \, r} - 12 \, {\left(18 \, a d e^{2} r^{5} - 256 \, b d e^{2} n - 3 \, {\left(3 \, b d e^{2} n + 76 \, a d e^{2}\right)} r^{4} - 1024 \, a d e^{2} + 32 \, {\left(3 \, b d e^{2} n + 34 \, a d e^{2}\right)} r^{3} - 32 \, {\left(11 \, b d e^{2} n + 76 \, a d e^{2}\right)} r^{2} + 512 \, {\left(b d e^{2} n + 5 \, a d e^{2}\right)} r + 2 \, {\left(9 \, b d e^{2} r^{5} - 114 \, b d e^{2} r^{4} + 544 \, b d e^{2} r^{3} - 1216 \, b d e^{2} r^{2} + 1280 \, b d e^{2} r - 512 \, b d e^{2}\right)} \log\left(c\right) + 2 \, {\left(9 \, b d e^{2} n r^{5} - 114 \, b d e^{2} n r^{4} + 544 \, b d e^{2} n r^{3} - 1216 \, b d e^{2} n r^{2} + 1280 \, b d e^{2} n r - 512 \, b d e^{2} n\right)} \log\left(x\right)\right)} x^{2 \, r} - 48 \, {\left(9 \, a d^{2} e r^{5} - 64 \, b d^{2} e n - 3 \, {\left(3 \, b d^{2} e n + 32 \, a d^{2} e\right)} r^{4} - 256 \, a d^{2} e + 4 \, {\left(15 \, b d^{2} e n + 97 \, a d^{2} e\right)} r^{3} - 4 \, {\left(37 \, b d^{2} e n + 188 \, a d^{2} e\right)} r^{2} + 32 \, {\left(5 \, b d^{2} e n + 22 \, a d^{2} e\right)} r + {\left(9 \, b d^{2} e r^{5} - 96 \, b d^{2} e r^{4} + 388 \, b d^{2} e r^{3} - 752 \, b d^{2} e r^{2} + 704 \, b d^{2} e r - 256 \, b d^{2} e\right)} \log\left(c\right) + {\left(9 \, b d^{2} e n r^{5} - 96 \, b d^{2} e n r^{4} + 388 \, b d^{2} e n r^{3} - 752 \, b d^{2} e n r^{2} + 704 \, b d^{2} e n r - 256 \, b d^{2} e n\right)} \log\left(x\right)\right)} x^{r} + 4 \, {\left(9 \, b d^{3} r^{6} - 132 \, b d^{3} r^{5} + 772 \, b d^{3} r^{4} - 2304 \, b d^{3} r^{3} + 3712 \, b d^{3} r^{2} - 3072 \, b d^{3} r + 1024 \, b d^{3}\right)} \log\left(c\right) + 4 \, {\left(9 \, b d^{3} n r^{6} - 132 \, b d^{3} n r^{5} + 772 \, b d^{3} n r^{4} - 2304 \, b d^{3} n r^{3} + 3712 \, b d^{3} n r^{2} - 3072 \, b d^{3} n r + 1024 \, b d^{3} n\right)} \log\left(x\right)}{16 \, {\left(9 \, r^{6} - 132 \, r^{5} + 772 \, r^{4} - 2304 \, r^{3} + 3712 \, r^{2} - 3072 \, r + 1024\right)} x^{4}}"," ",0,"-1/16*(9*(b*d^3*n + 4*a*d^3)*r^6 - 132*(b*d^3*n + 4*a*d^3)*r^5 + 1024*b*d^3*n + 772*(b*d^3*n + 4*a*d^3)*r^4 + 4096*a*d^3 - 2304*(b*d^3*n + 4*a*d^3)*r^3 + 3712*(b*d^3*n + 4*a*d^3)*r^2 - 3072*(b*d^3*n + 4*a*d^3)*r - 16*(3*a*e^3*r^5 - 64*b*e^3*n - (b*e^3*n + 40*a*e^3)*r^4 - 256*a*e^3 + 12*(b*e^3*n + 17*a*e^3)*r^3 - 4*(13*b*e^3*n + 124*a*e^3)*r^2 + 96*(b*e^3*n + 6*a*e^3)*r + (3*b*e^3*r^5 - 40*b*e^3*r^4 + 204*b*e^3*r^3 - 496*b*e^3*r^2 + 576*b*e^3*r - 256*b*e^3)*log(c) + (3*b*e^3*n*r^5 - 40*b*e^3*n*r^4 + 204*b*e^3*n*r^3 - 496*b*e^3*n*r^2 + 576*b*e^3*n*r - 256*b*e^3*n)*log(x))*x^(3*r) - 12*(18*a*d*e^2*r^5 - 256*b*d*e^2*n - 3*(3*b*d*e^2*n + 76*a*d*e^2)*r^4 - 1024*a*d*e^2 + 32*(3*b*d*e^2*n + 34*a*d*e^2)*r^3 - 32*(11*b*d*e^2*n + 76*a*d*e^2)*r^2 + 512*(b*d*e^2*n + 5*a*d*e^2)*r + 2*(9*b*d*e^2*r^5 - 114*b*d*e^2*r^4 + 544*b*d*e^2*r^3 - 1216*b*d*e^2*r^2 + 1280*b*d*e^2*r - 512*b*d*e^2)*log(c) + 2*(9*b*d*e^2*n*r^5 - 114*b*d*e^2*n*r^4 + 544*b*d*e^2*n*r^3 - 1216*b*d*e^2*n*r^2 + 1280*b*d*e^2*n*r - 512*b*d*e^2*n)*log(x))*x^(2*r) - 48*(9*a*d^2*e*r^5 - 64*b*d^2*e*n - 3*(3*b*d^2*e*n + 32*a*d^2*e)*r^4 - 256*a*d^2*e + 4*(15*b*d^2*e*n + 97*a*d^2*e)*r^3 - 4*(37*b*d^2*e*n + 188*a*d^2*e)*r^2 + 32*(5*b*d^2*e*n + 22*a*d^2*e)*r + (9*b*d^2*e*r^5 - 96*b*d^2*e*r^4 + 388*b*d^2*e*r^3 - 752*b*d^2*e*r^2 + 704*b*d^2*e*r - 256*b*d^2*e)*log(c) + (9*b*d^2*e*n*r^5 - 96*b*d^2*e*n*r^4 + 388*b*d^2*e*n*r^3 - 752*b*d^2*e*n*r^2 + 704*b*d^2*e*n*r - 256*b*d^2*e*n)*log(x))*x^r + 4*(9*b*d^3*r^6 - 132*b*d^3*r^5 + 772*b*d^3*r^4 - 2304*b*d^3*r^3 + 3712*b*d^3*r^2 - 3072*b*d^3*r + 1024*b*d^3)*log(c) + 4*(9*b*d^3*n*r^6 - 132*b*d^3*n*r^5 + 772*b*d^3*n*r^4 - 2304*b*d^3*n*r^3 + 3712*b*d^3*n*r^2 - 3072*b*d^3*n*r + 1024*b*d^3*n)*log(x))/((9*r^6 - 132*r^5 + 772*r^4 - 2304*r^3 + 3712*r^2 - 3072*r + 1024)*x^4)","B",0
398,1,1023,0,0.975917," ","integrate(x^4*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{5 \, {\left(36 \, b d^{3} r^{6} + 660 \, b d^{3} r^{5} + 4825 \, b d^{3} r^{4} + 18000 \, b d^{3} r^{3} + 36250 \, b d^{3} r^{2} + 37500 \, b d^{3} r + 15625 \, b d^{3}\right)} x^{5} \log\left(c\right) + 5 \, {\left(36 \, b d^{3} n r^{6} + 660 \, b d^{3} n r^{5} + 4825 \, b d^{3} n r^{4} + 18000 \, b d^{3} n r^{3} + 36250 \, b d^{3} n r^{2} + 37500 \, b d^{3} n r + 15625 \, b d^{3} n\right)} x^{5} \log\left(x\right) - {\left(36 \, {\left(b d^{3} n - 5 \, a d^{3}\right)} r^{6} + 660 \, {\left(b d^{3} n - 5 \, a d^{3}\right)} r^{5} + 15625 \, b d^{3} n + 4825 \, {\left(b d^{3} n - 5 \, a d^{3}\right)} r^{4} - 78125 \, a d^{3} + 18000 \, {\left(b d^{3} n - 5 \, a d^{3}\right)} r^{3} + 36250 \, {\left(b d^{3} n - 5 \, a d^{3}\right)} r^{2} + 37500 \, {\left(b d^{3} n - 5 \, a d^{3}\right)} r\right)} x^{5} + 25 \, {\left({\left(12 \, b e^{3} r^{5} + 200 \, b e^{3} r^{4} + 1275 \, b e^{3} r^{3} + 3875 \, b e^{3} r^{2} + 5625 \, b e^{3} r + 3125 \, b e^{3}\right)} x^{5} \log\left(c\right) + {\left(12 \, b e^{3} n r^{5} + 200 \, b e^{3} n r^{4} + 1275 \, b e^{3} n r^{3} + 3875 \, b e^{3} n r^{2} + 5625 \, b e^{3} n r + 3125 \, b e^{3} n\right)} x^{5} \log\left(x\right) + {\left(12 \, a e^{3} r^{5} - 625 \, b e^{3} n - 4 \, {\left(b e^{3} n - 50 \, a e^{3}\right)} r^{4} + 3125 \, a e^{3} - 15 \, {\left(4 \, b e^{3} n - 85 \, a e^{3}\right)} r^{3} - 25 \, {\left(13 \, b e^{3} n - 155 \, a e^{3}\right)} r^{2} - 375 \, {\left(2 \, b e^{3} n - 15 \, a e^{3}\right)} r\right)} x^{5}\right)} x^{3 \, r} + 75 \, {\left({\left(18 \, b d e^{2} r^{5} + 285 \, b d e^{2} r^{4} + 1700 \, b d e^{2} r^{3} + 4750 \, b d e^{2} r^{2} + 6250 \, b d e^{2} r + 3125 \, b d e^{2}\right)} x^{5} \log\left(c\right) + {\left(18 \, b d e^{2} n r^{5} + 285 \, b d e^{2} n r^{4} + 1700 \, b d e^{2} n r^{3} + 4750 \, b d e^{2} n r^{2} + 6250 \, b d e^{2} n r + 3125 \, b d e^{2} n\right)} x^{5} \log\left(x\right) + {\left(18 \, a d e^{2} r^{5} - 625 \, b d e^{2} n - 3 \, {\left(3 \, b d e^{2} n - 95 \, a d e^{2}\right)} r^{4} + 3125 \, a d e^{2} - 20 \, {\left(6 \, b d e^{2} n - 85 \, a d e^{2}\right)} r^{3} - 50 \, {\left(11 \, b d e^{2} n - 95 \, a d e^{2}\right)} r^{2} - 250 \, {\left(4 \, b d e^{2} n - 25 \, a d e^{2}\right)} r\right)} x^{5}\right)} x^{2 \, r} + 75 \, {\left({\left(36 \, b d^{2} e r^{5} + 480 \, b d^{2} e r^{4} + 2425 \, b d^{2} e r^{3} + 5875 \, b d^{2} e r^{2} + 6875 \, b d^{2} e r + 3125 \, b d^{2} e\right)} x^{5} \log\left(c\right) + {\left(36 \, b d^{2} e n r^{5} + 480 \, b d^{2} e n r^{4} + 2425 \, b d^{2} e n r^{3} + 5875 \, b d^{2} e n r^{2} + 6875 \, b d^{2} e n r + 3125 \, b d^{2} e n\right)} x^{5} \log\left(x\right) + {\left(36 \, a d^{2} e r^{5} - 625 \, b d^{2} e n - 12 \, {\left(3 \, b d^{2} e n - 40 \, a d^{2} e\right)} r^{4} + 3125 \, a d^{2} e - 25 \, {\left(12 \, b d^{2} e n - 97 \, a d^{2} e\right)} r^{3} - 25 \, {\left(37 \, b d^{2} e n - 235 \, a d^{2} e\right)} r^{2} - 625 \, {\left(2 \, b d^{2} e n - 11 \, a d^{2} e\right)} r\right)} x^{5}\right)} x^{r}}{25 \, {\left(36 \, r^{6} + 660 \, r^{5} + 4825 \, r^{4} + 18000 \, r^{3} + 36250 \, r^{2} + 37500 \, r + 15625\right)}}"," ",0,"1/25*(5*(36*b*d^3*r^6 + 660*b*d^3*r^5 + 4825*b*d^3*r^4 + 18000*b*d^3*r^3 + 36250*b*d^3*r^2 + 37500*b*d^3*r + 15625*b*d^3)*x^5*log(c) + 5*(36*b*d^3*n*r^6 + 660*b*d^3*n*r^5 + 4825*b*d^3*n*r^4 + 18000*b*d^3*n*r^3 + 36250*b*d^3*n*r^2 + 37500*b*d^3*n*r + 15625*b*d^3*n)*x^5*log(x) - (36*(b*d^3*n - 5*a*d^3)*r^6 + 660*(b*d^3*n - 5*a*d^3)*r^5 + 15625*b*d^3*n + 4825*(b*d^3*n - 5*a*d^3)*r^4 - 78125*a*d^3 + 18000*(b*d^3*n - 5*a*d^3)*r^3 + 36250*(b*d^3*n - 5*a*d^3)*r^2 + 37500*(b*d^3*n - 5*a*d^3)*r)*x^5 + 25*((12*b*e^3*r^5 + 200*b*e^3*r^4 + 1275*b*e^3*r^3 + 3875*b*e^3*r^2 + 5625*b*e^3*r + 3125*b*e^3)*x^5*log(c) + (12*b*e^3*n*r^5 + 200*b*e^3*n*r^4 + 1275*b*e^3*n*r^3 + 3875*b*e^3*n*r^2 + 5625*b*e^3*n*r + 3125*b*e^3*n)*x^5*log(x) + (12*a*e^3*r^5 - 625*b*e^3*n - 4*(b*e^3*n - 50*a*e^3)*r^4 + 3125*a*e^3 - 15*(4*b*e^3*n - 85*a*e^3)*r^3 - 25*(13*b*e^3*n - 155*a*e^3)*r^2 - 375*(2*b*e^3*n - 15*a*e^3)*r)*x^5)*x^(3*r) + 75*((18*b*d*e^2*r^5 + 285*b*d*e^2*r^4 + 1700*b*d*e^2*r^3 + 4750*b*d*e^2*r^2 + 6250*b*d*e^2*r + 3125*b*d*e^2)*x^5*log(c) + (18*b*d*e^2*n*r^5 + 285*b*d*e^2*n*r^4 + 1700*b*d*e^2*n*r^3 + 4750*b*d*e^2*n*r^2 + 6250*b*d*e^2*n*r + 3125*b*d*e^2*n)*x^5*log(x) + (18*a*d*e^2*r^5 - 625*b*d*e^2*n - 3*(3*b*d*e^2*n - 95*a*d*e^2)*r^4 + 3125*a*d*e^2 - 20*(6*b*d*e^2*n - 85*a*d*e^2)*r^3 - 50*(11*b*d*e^2*n - 95*a*d*e^2)*r^2 - 250*(4*b*d*e^2*n - 25*a*d*e^2)*r)*x^5)*x^(2*r) + 75*((36*b*d^2*e*r^5 + 480*b*d^2*e*r^4 + 2425*b*d^2*e*r^3 + 5875*b*d^2*e*r^2 + 6875*b*d^2*e*r + 3125*b*d^2*e)*x^5*log(c) + (36*b*d^2*e*n*r^5 + 480*b*d^2*e*n*r^4 + 2425*b*d^2*e*n*r^3 + 5875*b*d^2*e*n*r^2 + 6875*b*d^2*e*n*r + 3125*b*d^2*e*n)*x^5*log(x) + (36*a*d^2*e*r^5 - 625*b*d^2*e*n - 12*(3*b*d^2*e*n - 40*a*d^2*e)*r^4 + 3125*a*d^2*e - 25*(12*b*d^2*e*n - 97*a*d^2*e)*r^3 - 25*(37*b*d^2*e*n - 235*a*d^2*e)*r^2 - 625*(2*b*d^2*e*n - 11*a*d^2*e)*r)*x^5)*x^r)/(36*r^6 + 660*r^5 + 4825*r^4 + 18000*r^3 + 36250*r^2 + 37500*r + 15625)","B",0
399,1,1022,0,0.820637," ","integrate(x^2*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{3 \, {\left(4 \, b d^{3} r^{6} + 44 \, b d^{3} r^{5} + 193 \, b d^{3} r^{4} + 432 \, b d^{3} r^{3} + 522 \, b d^{3} r^{2} + 324 \, b d^{3} r + 81 \, b d^{3}\right)} x^{3} \log\left(c\right) + 3 \, {\left(4 \, b d^{3} n r^{6} + 44 \, b d^{3} n r^{5} + 193 \, b d^{3} n r^{4} + 432 \, b d^{3} n r^{3} + 522 \, b d^{3} n r^{2} + 324 \, b d^{3} n r + 81 \, b d^{3} n\right)} x^{3} \log\left(x\right) - {\left(4 \, {\left(b d^{3} n - 3 \, a d^{3}\right)} r^{6} + 44 \, {\left(b d^{3} n - 3 \, a d^{3}\right)} r^{5} + 81 \, b d^{3} n + 193 \, {\left(b d^{3} n - 3 \, a d^{3}\right)} r^{4} - 243 \, a d^{3} + 432 \, {\left(b d^{3} n - 3 \, a d^{3}\right)} r^{3} + 522 \, {\left(b d^{3} n - 3 \, a d^{3}\right)} r^{2} + 324 \, {\left(b d^{3} n - 3 \, a d^{3}\right)} r\right)} x^{3} + {\left(3 \, {\left(4 \, b e^{3} r^{5} + 40 \, b e^{3} r^{4} + 153 \, b e^{3} r^{3} + 279 \, b e^{3} r^{2} + 243 \, b e^{3} r + 81 \, b e^{3}\right)} x^{3} \log\left(c\right) + 3 \, {\left(4 \, b e^{3} n r^{5} + 40 \, b e^{3} n r^{4} + 153 \, b e^{3} n r^{3} + 279 \, b e^{3} n r^{2} + 243 \, b e^{3} n r + 81 \, b e^{3} n\right)} x^{3} \log\left(x\right) + {\left(12 \, a e^{3} r^{5} - 81 \, b e^{3} n - 4 \, {\left(b e^{3} n - 30 \, a e^{3}\right)} r^{4} + 243 \, a e^{3} - 9 \, {\left(4 \, b e^{3} n - 51 \, a e^{3}\right)} r^{3} - 9 \, {\left(13 \, b e^{3} n - 93 \, a e^{3}\right)} r^{2} - 81 \, {\left(2 \, b e^{3} n - 9 \, a e^{3}\right)} r\right)} x^{3}\right)} x^{3 \, r} + 27 \, {\left({\left(2 \, b d e^{2} r^{5} + 19 \, b d e^{2} r^{4} + 68 \, b d e^{2} r^{3} + 114 \, b d e^{2} r^{2} + 90 \, b d e^{2} r + 27 \, b d e^{2}\right)} x^{3} \log\left(c\right) + {\left(2 \, b d e^{2} n r^{5} + 19 \, b d e^{2} n r^{4} + 68 \, b d e^{2} n r^{3} + 114 \, b d e^{2} n r^{2} + 90 \, b d e^{2} n r + 27 \, b d e^{2} n\right)} x^{3} \log\left(x\right) + {\left(2 \, a d e^{2} r^{5} - 9 \, b d e^{2} n - {\left(b d e^{2} n - 19 \, a d e^{2}\right)} r^{4} + 27 \, a d e^{2} - 4 \, {\left(2 \, b d e^{2} n - 17 \, a d e^{2}\right)} r^{3} - 2 \, {\left(11 \, b d e^{2} n - 57 \, a d e^{2}\right)} r^{2} - 6 \, {\left(4 \, b d e^{2} n - 15 \, a d e^{2}\right)} r\right)} x^{3}\right)} x^{2 \, r} + 27 \, {\left({\left(4 \, b d^{2} e r^{5} + 32 \, b d^{2} e r^{4} + 97 \, b d^{2} e r^{3} + 141 \, b d^{2} e r^{2} + 99 \, b d^{2} e r + 27 \, b d^{2} e\right)} x^{3} \log\left(c\right) + {\left(4 \, b d^{2} e n r^{5} + 32 \, b d^{2} e n r^{4} + 97 \, b d^{2} e n r^{3} + 141 \, b d^{2} e n r^{2} + 99 \, b d^{2} e n r + 27 \, b d^{2} e n\right)} x^{3} \log\left(x\right) + {\left(4 \, a d^{2} e r^{5} - 9 \, b d^{2} e n - 4 \, {\left(b d^{2} e n - 8 \, a d^{2} e\right)} r^{4} + 27 \, a d^{2} e - {\left(20 \, b d^{2} e n - 97 \, a d^{2} e\right)} r^{3} - {\left(37 \, b d^{2} e n - 141 \, a d^{2} e\right)} r^{2} - 3 \, {\left(10 \, b d^{2} e n - 33 \, a d^{2} e\right)} r\right)} x^{3}\right)} x^{r}}{9 \, {\left(4 \, r^{6} + 44 \, r^{5} + 193 \, r^{4} + 432 \, r^{3} + 522 \, r^{2} + 324 \, r + 81\right)}}"," ",0,"1/9*(3*(4*b*d^3*r^6 + 44*b*d^3*r^5 + 193*b*d^3*r^4 + 432*b*d^3*r^3 + 522*b*d^3*r^2 + 324*b*d^3*r + 81*b*d^3)*x^3*log(c) + 3*(4*b*d^3*n*r^6 + 44*b*d^3*n*r^5 + 193*b*d^3*n*r^4 + 432*b*d^3*n*r^3 + 522*b*d^3*n*r^2 + 324*b*d^3*n*r + 81*b*d^3*n)*x^3*log(x) - (4*(b*d^3*n - 3*a*d^3)*r^6 + 44*(b*d^3*n - 3*a*d^3)*r^5 + 81*b*d^3*n + 193*(b*d^3*n - 3*a*d^3)*r^4 - 243*a*d^3 + 432*(b*d^3*n - 3*a*d^3)*r^3 + 522*(b*d^3*n - 3*a*d^3)*r^2 + 324*(b*d^3*n - 3*a*d^3)*r)*x^3 + (3*(4*b*e^3*r^5 + 40*b*e^3*r^4 + 153*b*e^3*r^3 + 279*b*e^3*r^2 + 243*b*e^3*r + 81*b*e^3)*x^3*log(c) + 3*(4*b*e^3*n*r^5 + 40*b*e^3*n*r^4 + 153*b*e^3*n*r^3 + 279*b*e^3*n*r^2 + 243*b*e^3*n*r + 81*b*e^3*n)*x^3*log(x) + (12*a*e^3*r^5 - 81*b*e^3*n - 4*(b*e^3*n - 30*a*e^3)*r^4 + 243*a*e^3 - 9*(4*b*e^3*n - 51*a*e^3)*r^3 - 9*(13*b*e^3*n - 93*a*e^3)*r^2 - 81*(2*b*e^3*n - 9*a*e^3)*r)*x^3)*x^(3*r) + 27*((2*b*d*e^2*r^5 + 19*b*d*e^2*r^4 + 68*b*d*e^2*r^3 + 114*b*d*e^2*r^2 + 90*b*d*e^2*r + 27*b*d*e^2)*x^3*log(c) + (2*b*d*e^2*n*r^5 + 19*b*d*e^2*n*r^4 + 68*b*d*e^2*n*r^3 + 114*b*d*e^2*n*r^2 + 90*b*d*e^2*n*r + 27*b*d*e^2*n)*x^3*log(x) + (2*a*d*e^2*r^5 - 9*b*d*e^2*n - (b*d*e^2*n - 19*a*d*e^2)*r^4 + 27*a*d*e^2 - 4*(2*b*d*e^2*n - 17*a*d*e^2)*r^3 - 2*(11*b*d*e^2*n - 57*a*d*e^2)*r^2 - 6*(4*b*d*e^2*n - 15*a*d*e^2)*r)*x^3)*x^(2*r) + 27*((4*b*d^2*e*r^5 + 32*b*d^2*e*r^4 + 97*b*d^2*e*r^3 + 141*b*d^2*e*r^2 + 99*b*d^2*e*r + 27*b*d^2*e)*x^3*log(c) + (4*b*d^2*e*n*r^5 + 32*b*d^2*e*n*r^4 + 97*b*d^2*e*n*r^3 + 141*b*d^2*e*n*r^2 + 99*b*d^2*e*n*r + 27*b*d^2*e*n)*x^3*log(x) + (4*a*d^2*e*r^5 - 9*b*d^2*e*n - 4*(b*d^2*e*n - 8*a*d^2*e)*r^4 + 27*a*d^2*e - (20*b*d^2*e*n - 97*a*d^2*e)*r^3 - (37*b*d^2*e*n - 141*a*d^2*e)*r^2 - 3*(10*b*d^2*e*n - 33*a*d^2*e)*r)*x^3)*x^r)/(4*r^6 + 44*r^5 + 193*r^4 + 432*r^3 + 522*r^2 + 324*r + 81)","B",0
400,1,983,0,0.701723," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left(36 \, b d^{3} r^{6} + 132 \, b d^{3} r^{5} + 193 \, b d^{3} r^{4} + 144 \, b d^{3} r^{3} + 58 \, b d^{3} r^{2} + 12 \, b d^{3} r + b d^{3}\right)} x \log\left(c\right) + {\left(36 \, b d^{3} n r^{6} + 132 \, b d^{3} n r^{5} + 193 \, b d^{3} n r^{4} + 144 \, b d^{3} n r^{3} + 58 \, b d^{3} n r^{2} + 12 \, b d^{3} n r + b d^{3} n\right)} x \log\left(x\right) - {\left(36 \, {\left(b d^{3} n - a d^{3}\right)} r^{6} + 132 \, {\left(b d^{3} n - a d^{3}\right)} r^{5} + b d^{3} n + 193 \, {\left(b d^{3} n - a d^{3}\right)} r^{4} - a d^{3} + 144 \, {\left(b d^{3} n - a d^{3}\right)} r^{3} + 58 \, {\left(b d^{3} n - a d^{3}\right)} r^{2} + 12 \, {\left(b d^{3} n - a d^{3}\right)} r\right)} x + {\left({\left(12 \, b e^{3} r^{5} + 40 \, b e^{3} r^{4} + 51 \, b e^{3} r^{3} + 31 \, b e^{3} r^{2} + 9 \, b e^{3} r + b e^{3}\right)} x \log\left(c\right) + {\left(12 \, b e^{3} n r^{5} + 40 \, b e^{3} n r^{4} + 51 \, b e^{3} n r^{3} + 31 \, b e^{3} n r^{2} + 9 \, b e^{3} n r + b e^{3} n\right)} x \log\left(x\right) + {\left(12 \, a e^{3} r^{5} - b e^{3} n - 4 \, {\left(b e^{3} n - 10 \, a e^{3}\right)} r^{4} + a e^{3} - 3 \, {\left(4 \, b e^{3} n - 17 \, a e^{3}\right)} r^{3} - {\left(13 \, b e^{3} n - 31 \, a e^{3}\right)} r^{2} - 3 \, {\left(2 \, b e^{3} n - 3 \, a e^{3}\right)} r\right)} x\right)} x^{3 \, r} + 3 \, {\left({\left(18 \, b d e^{2} r^{5} + 57 \, b d e^{2} r^{4} + 68 \, b d e^{2} r^{3} + 38 \, b d e^{2} r^{2} + 10 \, b d e^{2} r + b d e^{2}\right)} x \log\left(c\right) + {\left(18 \, b d e^{2} n r^{5} + 57 \, b d e^{2} n r^{4} + 68 \, b d e^{2} n r^{3} + 38 \, b d e^{2} n r^{2} + 10 \, b d e^{2} n r + b d e^{2} n\right)} x \log\left(x\right) + {\left(18 \, a d e^{2} r^{5} - b d e^{2} n - 3 \, {\left(3 \, b d e^{2} n - 19 \, a d e^{2}\right)} r^{4} + a d e^{2} - 4 \, {\left(6 \, b d e^{2} n - 17 \, a d e^{2}\right)} r^{3} - 2 \, {\left(11 \, b d e^{2} n - 19 \, a d e^{2}\right)} r^{2} - 2 \, {\left(4 \, b d e^{2} n - 5 \, a d e^{2}\right)} r\right)} x\right)} x^{2 \, r} + 3 \, {\left({\left(36 \, b d^{2} e r^{5} + 96 \, b d^{2} e r^{4} + 97 \, b d^{2} e r^{3} + 47 \, b d^{2} e r^{2} + 11 \, b d^{2} e r + b d^{2} e\right)} x \log\left(c\right) + {\left(36 \, b d^{2} e n r^{5} + 96 \, b d^{2} e n r^{4} + 97 \, b d^{2} e n r^{3} + 47 \, b d^{2} e n r^{2} + 11 \, b d^{2} e n r + b d^{2} e n\right)} x \log\left(x\right) + {\left(36 \, a d^{2} e r^{5} - b d^{2} e n - 12 \, {\left(3 \, b d^{2} e n - 8 \, a d^{2} e\right)} r^{4} + a d^{2} e - {\left(60 \, b d^{2} e n - 97 \, a d^{2} e\right)} r^{3} - {\left(37 \, b d^{2} e n - 47 \, a d^{2} e\right)} r^{2} - {\left(10 \, b d^{2} e n - 11 \, a d^{2} e\right)} r\right)} x\right)} x^{r}}{36 \, r^{6} + 132 \, r^{5} + 193 \, r^{4} + 144 \, r^{3} + 58 \, r^{2} + 12 \, r + 1}"," ",0,"((36*b*d^3*r^6 + 132*b*d^3*r^5 + 193*b*d^3*r^4 + 144*b*d^3*r^3 + 58*b*d^3*r^2 + 12*b*d^3*r + b*d^3)*x*log(c) + (36*b*d^3*n*r^6 + 132*b*d^3*n*r^5 + 193*b*d^3*n*r^4 + 144*b*d^3*n*r^3 + 58*b*d^3*n*r^2 + 12*b*d^3*n*r + b*d^3*n)*x*log(x) - (36*(b*d^3*n - a*d^3)*r^6 + 132*(b*d^3*n - a*d^3)*r^5 + b*d^3*n + 193*(b*d^3*n - a*d^3)*r^4 - a*d^3 + 144*(b*d^3*n - a*d^3)*r^3 + 58*(b*d^3*n - a*d^3)*r^2 + 12*(b*d^3*n - a*d^3)*r)*x + ((12*b*e^3*r^5 + 40*b*e^3*r^4 + 51*b*e^3*r^3 + 31*b*e^3*r^2 + 9*b*e^3*r + b*e^3)*x*log(c) + (12*b*e^3*n*r^5 + 40*b*e^3*n*r^4 + 51*b*e^3*n*r^3 + 31*b*e^3*n*r^2 + 9*b*e^3*n*r + b*e^3*n)*x*log(x) + (12*a*e^3*r^5 - b*e^3*n - 4*(b*e^3*n - 10*a*e^3)*r^4 + a*e^3 - 3*(4*b*e^3*n - 17*a*e^3)*r^3 - (13*b*e^3*n - 31*a*e^3)*r^2 - 3*(2*b*e^3*n - 3*a*e^3)*r)*x)*x^(3*r) + 3*((18*b*d*e^2*r^5 + 57*b*d*e^2*r^4 + 68*b*d*e^2*r^3 + 38*b*d*e^2*r^2 + 10*b*d*e^2*r + b*d*e^2)*x*log(c) + (18*b*d*e^2*n*r^5 + 57*b*d*e^2*n*r^4 + 68*b*d*e^2*n*r^3 + 38*b*d*e^2*n*r^2 + 10*b*d*e^2*n*r + b*d*e^2*n)*x*log(x) + (18*a*d*e^2*r^5 - b*d*e^2*n - 3*(3*b*d*e^2*n - 19*a*d*e^2)*r^4 + a*d*e^2 - 4*(6*b*d*e^2*n - 17*a*d*e^2)*r^3 - 2*(11*b*d*e^2*n - 19*a*d*e^2)*r^2 - 2*(4*b*d*e^2*n - 5*a*d*e^2)*r)*x)*x^(2*r) + 3*((36*b*d^2*e*r^5 + 96*b*d^2*e*r^4 + 97*b*d^2*e*r^3 + 47*b*d^2*e*r^2 + 11*b*d^2*e*r + b*d^2*e)*x*log(c) + (36*b*d^2*e*n*r^5 + 96*b*d^2*e*n*r^4 + 97*b*d^2*e*n*r^3 + 47*b*d^2*e*n*r^2 + 11*b*d^2*e*n*r + b*d^2*e*n)*x*log(x) + (36*a*d^2*e*r^5 - b*d^2*e*n - 12*(3*b*d^2*e*n - 8*a*d^2*e)*r^4 + a*d^2*e - (60*b*d^2*e*n - 97*a*d^2*e)*r^3 - (37*b*d^2*e*n - 47*a*d^2*e)*r^2 - (10*b*d^2*e*n - 11*a*d^2*e)*r)*x)*x^r)/(36*r^6 + 132*r^5 + 193*r^4 + 144*r^3 + 58*r^2 + 12*r + 1)","B",0
401,1,967,0,1.027021," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^2,x, algorithm=""fricas"")","-\frac{36 \, {\left(b d^{3} n + a d^{3}\right)} r^{6} - 132 \, {\left(b d^{3} n + a d^{3}\right)} r^{5} + b d^{3} n + 193 \, {\left(b d^{3} n + a d^{3}\right)} r^{4} + a d^{3} - 144 \, {\left(b d^{3} n + a d^{3}\right)} r^{3} + 58 \, {\left(b d^{3} n + a d^{3}\right)} r^{2} - 12 \, {\left(b d^{3} n + a d^{3}\right)} r - {\left(12 \, a e^{3} r^{5} - b e^{3} n - 4 \, {\left(b e^{3} n + 10 \, a e^{3}\right)} r^{4} - a e^{3} + 3 \, {\left(4 \, b e^{3} n + 17 \, a e^{3}\right)} r^{3} - {\left(13 \, b e^{3} n + 31 \, a e^{3}\right)} r^{2} + 3 \, {\left(2 \, b e^{3} n + 3 \, a e^{3}\right)} r + {\left(12 \, b e^{3} r^{5} - 40 \, b e^{3} r^{4} + 51 \, b e^{3} r^{3} - 31 \, b e^{3} r^{2} + 9 \, b e^{3} r - b e^{3}\right)} \log\left(c\right) + {\left(12 \, b e^{3} n r^{5} - 40 \, b e^{3} n r^{4} + 51 \, b e^{3} n r^{3} - 31 \, b e^{3} n r^{2} + 9 \, b e^{3} n r - b e^{3} n\right)} \log\left(x\right)\right)} x^{3 \, r} - 3 \, {\left(18 \, a d e^{2} r^{5} - b d e^{2} n - 3 \, {\left(3 \, b d e^{2} n + 19 \, a d e^{2}\right)} r^{4} - a d e^{2} + 4 \, {\left(6 \, b d e^{2} n + 17 \, a d e^{2}\right)} r^{3} - 2 \, {\left(11 \, b d e^{2} n + 19 \, a d e^{2}\right)} r^{2} + 2 \, {\left(4 \, b d e^{2} n + 5 \, a d e^{2}\right)} r + {\left(18 \, b d e^{2} r^{5} - 57 \, b d e^{2} r^{4} + 68 \, b d e^{2} r^{3} - 38 \, b d e^{2} r^{2} + 10 \, b d e^{2} r - b d e^{2}\right)} \log\left(c\right) + {\left(18 \, b d e^{2} n r^{5} - 57 \, b d e^{2} n r^{4} + 68 \, b d e^{2} n r^{3} - 38 \, b d e^{2} n r^{2} + 10 \, b d e^{2} n r - b d e^{2} n\right)} \log\left(x\right)\right)} x^{2 \, r} - 3 \, {\left(36 \, a d^{2} e r^{5} - b d^{2} e n - 12 \, {\left(3 \, b d^{2} e n + 8 \, a d^{2} e\right)} r^{4} - a d^{2} e + {\left(60 \, b d^{2} e n + 97 \, a d^{2} e\right)} r^{3} - {\left(37 \, b d^{2} e n + 47 \, a d^{2} e\right)} r^{2} + {\left(10 \, b d^{2} e n + 11 \, a d^{2} e\right)} r + {\left(36 \, b d^{2} e r^{5} - 96 \, b d^{2} e r^{4} + 97 \, b d^{2} e r^{3} - 47 \, b d^{2} e r^{2} + 11 \, b d^{2} e r - b d^{2} e\right)} \log\left(c\right) + {\left(36 \, b d^{2} e n r^{5} - 96 \, b d^{2} e n r^{4} + 97 \, b d^{2} e n r^{3} - 47 \, b d^{2} e n r^{2} + 11 \, b d^{2} e n r - b d^{2} e n\right)} \log\left(x\right)\right)} x^{r} + {\left(36 \, b d^{3} r^{6} - 132 \, b d^{3} r^{5} + 193 \, b d^{3} r^{4} - 144 \, b d^{3} r^{3} + 58 \, b d^{3} r^{2} - 12 \, b d^{3} r + b d^{3}\right)} \log\left(c\right) + {\left(36 \, b d^{3} n r^{6} - 132 \, b d^{3} n r^{5} + 193 \, b d^{3} n r^{4} - 144 \, b d^{3} n r^{3} + 58 \, b d^{3} n r^{2} - 12 \, b d^{3} n r + b d^{3} n\right)} \log\left(x\right)}{{\left(36 \, r^{6} - 132 \, r^{5} + 193 \, r^{4} - 144 \, r^{3} + 58 \, r^{2} - 12 \, r + 1\right)} x}"," ",0,"-(36*(b*d^3*n + a*d^3)*r^6 - 132*(b*d^3*n + a*d^3)*r^5 + b*d^3*n + 193*(b*d^3*n + a*d^3)*r^4 + a*d^3 - 144*(b*d^3*n + a*d^3)*r^3 + 58*(b*d^3*n + a*d^3)*r^2 - 12*(b*d^3*n + a*d^3)*r - (12*a*e^3*r^5 - b*e^3*n - 4*(b*e^3*n + 10*a*e^3)*r^4 - a*e^3 + 3*(4*b*e^3*n + 17*a*e^3)*r^3 - (13*b*e^3*n + 31*a*e^3)*r^2 + 3*(2*b*e^3*n + 3*a*e^3)*r + (12*b*e^3*r^5 - 40*b*e^3*r^4 + 51*b*e^3*r^3 - 31*b*e^3*r^2 + 9*b*e^3*r - b*e^3)*log(c) + (12*b*e^3*n*r^5 - 40*b*e^3*n*r^4 + 51*b*e^3*n*r^3 - 31*b*e^3*n*r^2 + 9*b*e^3*n*r - b*e^3*n)*log(x))*x^(3*r) - 3*(18*a*d*e^2*r^5 - b*d*e^2*n - 3*(3*b*d*e^2*n + 19*a*d*e^2)*r^4 - a*d*e^2 + 4*(6*b*d*e^2*n + 17*a*d*e^2)*r^3 - 2*(11*b*d*e^2*n + 19*a*d*e^2)*r^2 + 2*(4*b*d*e^2*n + 5*a*d*e^2)*r + (18*b*d*e^2*r^5 - 57*b*d*e^2*r^4 + 68*b*d*e^2*r^3 - 38*b*d*e^2*r^2 + 10*b*d*e^2*r - b*d*e^2)*log(c) + (18*b*d*e^2*n*r^5 - 57*b*d*e^2*n*r^4 + 68*b*d*e^2*n*r^3 - 38*b*d*e^2*n*r^2 + 10*b*d*e^2*n*r - b*d*e^2*n)*log(x))*x^(2*r) - 3*(36*a*d^2*e*r^5 - b*d^2*e*n - 12*(3*b*d^2*e*n + 8*a*d^2*e)*r^4 - a*d^2*e + (60*b*d^2*e*n + 97*a*d^2*e)*r^3 - (37*b*d^2*e*n + 47*a*d^2*e)*r^2 + (10*b*d^2*e*n + 11*a*d^2*e)*r + (36*b*d^2*e*r^5 - 96*b*d^2*e*r^4 + 97*b*d^2*e*r^3 - 47*b*d^2*e*r^2 + 11*b*d^2*e*r - b*d^2*e)*log(c) + (36*b*d^2*e*n*r^5 - 96*b*d^2*e*n*r^4 + 97*b*d^2*e*n*r^3 - 47*b*d^2*e*n*r^2 + 11*b*d^2*e*n*r - b*d^2*e*n)*log(x))*x^r + (36*b*d^3*r^6 - 132*b*d^3*r^5 + 193*b*d^3*r^4 - 144*b*d^3*r^3 + 58*b*d^3*r^2 - 12*b*d^3*r + b*d^3)*log(c) + (36*b*d^3*n*r^6 - 132*b*d^3*n*r^5 + 193*b*d^3*n*r^4 - 144*b*d^3*n*r^3 + 58*b*d^3*n*r^2 - 12*b*d^3*n*r + b*d^3*n)*log(x))/((36*r^6 - 132*r^5 + 193*r^4 - 144*r^3 + 58*r^2 - 12*r + 1)*x)","B",0
402,1,980,0,1.048632," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^4,x, algorithm=""fricas"")","-\frac{4 \, {\left(b d^{3} n + 3 \, a d^{3}\right)} r^{6} - 44 \, {\left(b d^{3} n + 3 \, a d^{3}\right)} r^{5} + 81 \, b d^{3} n + 193 \, {\left(b d^{3} n + 3 \, a d^{3}\right)} r^{4} + 243 \, a d^{3} - 432 \, {\left(b d^{3} n + 3 \, a d^{3}\right)} r^{3} + 522 \, {\left(b d^{3} n + 3 \, a d^{3}\right)} r^{2} - 324 \, {\left(b d^{3} n + 3 \, a d^{3}\right)} r - {\left(12 \, a e^{3} r^{5} - 81 \, b e^{3} n - 4 \, {\left(b e^{3} n + 30 \, a e^{3}\right)} r^{4} - 243 \, a e^{3} + 9 \, {\left(4 \, b e^{3} n + 51 \, a e^{3}\right)} r^{3} - 9 \, {\left(13 \, b e^{3} n + 93 \, a e^{3}\right)} r^{2} + 81 \, {\left(2 \, b e^{3} n + 9 \, a e^{3}\right)} r + 3 \, {\left(4 \, b e^{3} r^{5} - 40 \, b e^{3} r^{4} + 153 \, b e^{3} r^{3} - 279 \, b e^{3} r^{2} + 243 \, b e^{3} r - 81 \, b e^{3}\right)} \log\left(c\right) + 3 \, {\left(4 \, b e^{3} n r^{5} - 40 \, b e^{3} n r^{4} + 153 \, b e^{3} n r^{3} - 279 \, b e^{3} n r^{2} + 243 \, b e^{3} n r - 81 \, b e^{3} n\right)} \log\left(x\right)\right)} x^{3 \, r} - 27 \, {\left(2 \, a d e^{2} r^{5} - 9 \, b d e^{2} n - {\left(b d e^{2} n + 19 \, a d e^{2}\right)} r^{4} - 27 \, a d e^{2} + 4 \, {\left(2 \, b d e^{2} n + 17 \, a d e^{2}\right)} r^{3} - 2 \, {\left(11 \, b d e^{2} n + 57 \, a d e^{2}\right)} r^{2} + 6 \, {\left(4 \, b d e^{2} n + 15 \, a d e^{2}\right)} r + {\left(2 \, b d e^{2} r^{5} - 19 \, b d e^{2} r^{4} + 68 \, b d e^{2} r^{3} - 114 \, b d e^{2} r^{2} + 90 \, b d e^{2} r - 27 \, b d e^{2}\right)} \log\left(c\right) + {\left(2 \, b d e^{2} n r^{5} - 19 \, b d e^{2} n r^{4} + 68 \, b d e^{2} n r^{3} - 114 \, b d e^{2} n r^{2} + 90 \, b d e^{2} n r - 27 \, b d e^{2} n\right)} \log\left(x\right)\right)} x^{2 \, r} - 27 \, {\left(4 \, a d^{2} e r^{5} - 9 \, b d^{2} e n - 4 \, {\left(b d^{2} e n + 8 \, a d^{2} e\right)} r^{4} - 27 \, a d^{2} e + {\left(20 \, b d^{2} e n + 97 \, a d^{2} e\right)} r^{3} - {\left(37 \, b d^{2} e n + 141 \, a d^{2} e\right)} r^{2} + 3 \, {\left(10 \, b d^{2} e n + 33 \, a d^{2} e\right)} r + {\left(4 \, b d^{2} e r^{5} - 32 \, b d^{2} e r^{4} + 97 \, b d^{2} e r^{3} - 141 \, b d^{2} e r^{2} + 99 \, b d^{2} e r - 27 \, b d^{2} e\right)} \log\left(c\right) + {\left(4 \, b d^{2} e n r^{5} - 32 \, b d^{2} e n r^{4} + 97 \, b d^{2} e n r^{3} - 141 \, b d^{2} e n r^{2} + 99 \, b d^{2} e n r - 27 \, b d^{2} e n\right)} \log\left(x\right)\right)} x^{r} + 3 \, {\left(4 \, b d^{3} r^{6} - 44 \, b d^{3} r^{5} + 193 \, b d^{3} r^{4} - 432 \, b d^{3} r^{3} + 522 \, b d^{3} r^{2} - 324 \, b d^{3} r + 81 \, b d^{3}\right)} \log\left(c\right) + 3 \, {\left(4 \, b d^{3} n r^{6} - 44 \, b d^{3} n r^{5} + 193 \, b d^{3} n r^{4} - 432 \, b d^{3} n r^{3} + 522 \, b d^{3} n r^{2} - 324 \, b d^{3} n r + 81 \, b d^{3} n\right)} \log\left(x\right)}{9 \, {\left(4 \, r^{6} - 44 \, r^{5} + 193 \, r^{4} - 432 \, r^{3} + 522 \, r^{2} - 324 \, r + 81\right)} x^{3}}"," ",0,"-1/9*(4*(b*d^3*n + 3*a*d^3)*r^6 - 44*(b*d^3*n + 3*a*d^3)*r^5 + 81*b*d^3*n + 193*(b*d^3*n + 3*a*d^3)*r^4 + 243*a*d^3 - 432*(b*d^3*n + 3*a*d^3)*r^3 + 522*(b*d^3*n + 3*a*d^3)*r^2 - 324*(b*d^3*n + 3*a*d^3)*r - (12*a*e^3*r^5 - 81*b*e^3*n - 4*(b*e^3*n + 30*a*e^3)*r^4 - 243*a*e^3 + 9*(4*b*e^3*n + 51*a*e^3)*r^3 - 9*(13*b*e^3*n + 93*a*e^3)*r^2 + 81*(2*b*e^3*n + 9*a*e^3)*r + 3*(4*b*e^3*r^5 - 40*b*e^3*r^4 + 153*b*e^3*r^3 - 279*b*e^3*r^2 + 243*b*e^3*r - 81*b*e^3)*log(c) + 3*(4*b*e^3*n*r^5 - 40*b*e^3*n*r^4 + 153*b*e^3*n*r^3 - 279*b*e^3*n*r^2 + 243*b*e^3*n*r - 81*b*e^3*n)*log(x))*x^(3*r) - 27*(2*a*d*e^2*r^5 - 9*b*d*e^2*n - (b*d*e^2*n + 19*a*d*e^2)*r^4 - 27*a*d*e^2 + 4*(2*b*d*e^2*n + 17*a*d*e^2)*r^3 - 2*(11*b*d*e^2*n + 57*a*d*e^2)*r^2 + 6*(4*b*d*e^2*n + 15*a*d*e^2)*r + (2*b*d*e^2*r^5 - 19*b*d*e^2*r^4 + 68*b*d*e^2*r^3 - 114*b*d*e^2*r^2 + 90*b*d*e^2*r - 27*b*d*e^2)*log(c) + (2*b*d*e^2*n*r^5 - 19*b*d*e^2*n*r^4 + 68*b*d*e^2*n*r^3 - 114*b*d*e^2*n*r^2 + 90*b*d*e^2*n*r - 27*b*d*e^2*n)*log(x))*x^(2*r) - 27*(4*a*d^2*e*r^5 - 9*b*d^2*e*n - 4*(b*d^2*e*n + 8*a*d^2*e)*r^4 - 27*a*d^2*e + (20*b*d^2*e*n + 97*a*d^2*e)*r^3 - (37*b*d^2*e*n + 141*a*d^2*e)*r^2 + 3*(10*b*d^2*e*n + 33*a*d^2*e)*r + (4*b*d^2*e*r^5 - 32*b*d^2*e*r^4 + 97*b*d^2*e*r^3 - 141*b*d^2*e*r^2 + 99*b*d^2*e*r - 27*b*d^2*e)*log(c) + (4*b*d^2*e*n*r^5 - 32*b*d^2*e*n*r^4 + 97*b*d^2*e*n*r^3 - 141*b*d^2*e*n*r^2 + 99*b*d^2*e*n*r - 27*b*d^2*e*n)*log(x))*x^r + 3*(4*b*d^3*r^6 - 44*b*d^3*r^5 + 193*b*d^3*r^4 - 432*b*d^3*r^3 + 522*b*d^3*r^2 - 324*b*d^3*r + 81*b*d^3)*log(c) + 3*(4*b*d^3*n*r^6 - 44*b*d^3*n*r^5 + 193*b*d^3*n*r^4 - 432*b*d^3*n*r^3 + 522*b*d^3*n*r^2 - 324*b*d^3*n*r + 81*b*d^3*n)*log(x))/((4*r^6 - 44*r^5 + 193*r^4 - 432*r^3 + 522*r^2 - 324*r + 81)*x^3)","B",0
403,1,981,0,0.817658," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^6,x, algorithm=""fricas"")","-\frac{36 \, {\left(b d^{3} n + 5 \, a d^{3}\right)} r^{6} - 660 \, {\left(b d^{3} n + 5 \, a d^{3}\right)} r^{5} + 15625 \, b d^{3} n + 4825 \, {\left(b d^{3} n + 5 \, a d^{3}\right)} r^{4} + 78125 \, a d^{3} - 18000 \, {\left(b d^{3} n + 5 \, a d^{3}\right)} r^{3} + 36250 \, {\left(b d^{3} n + 5 \, a d^{3}\right)} r^{2} - 37500 \, {\left(b d^{3} n + 5 \, a d^{3}\right)} r - 25 \, {\left(12 \, a e^{3} r^{5} - 625 \, b e^{3} n - 4 \, {\left(b e^{3} n + 50 \, a e^{3}\right)} r^{4} - 3125 \, a e^{3} + 15 \, {\left(4 \, b e^{3} n + 85 \, a e^{3}\right)} r^{3} - 25 \, {\left(13 \, b e^{3} n + 155 \, a e^{3}\right)} r^{2} + 375 \, {\left(2 \, b e^{3} n + 15 \, a e^{3}\right)} r + {\left(12 \, b e^{3} r^{5} - 200 \, b e^{3} r^{4} + 1275 \, b e^{3} r^{3} - 3875 \, b e^{3} r^{2} + 5625 \, b e^{3} r - 3125 \, b e^{3}\right)} \log\left(c\right) + {\left(12 \, b e^{3} n r^{5} - 200 \, b e^{3} n r^{4} + 1275 \, b e^{3} n r^{3} - 3875 \, b e^{3} n r^{2} + 5625 \, b e^{3} n r - 3125 \, b e^{3} n\right)} \log\left(x\right)\right)} x^{3 \, r} - 75 \, {\left(18 \, a d e^{2} r^{5} - 625 \, b d e^{2} n - 3 \, {\left(3 \, b d e^{2} n + 95 \, a d e^{2}\right)} r^{4} - 3125 \, a d e^{2} + 20 \, {\left(6 \, b d e^{2} n + 85 \, a d e^{2}\right)} r^{3} - 50 \, {\left(11 \, b d e^{2} n + 95 \, a d e^{2}\right)} r^{2} + 250 \, {\left(4 \, b d e^{2} n + 25 \, a d e^{2}\right)} r + {\left(18 \, b d e^{2} r^{5} - 285 \, b d e^{2} r^{4} + 1700 \, b d e^{2} r^{3} - 4750 \, b d e^{2} r^{2} + 6250 \, b d e^{2} r - 3125 \, b d e^{2}\right)} \log\left(c\right) + {\left(18 \, b d e^{2} n r^{5} - 285 \, b d e^{2} n r^{4} + 1700 \, b d e^{2} n r^{3} - 4750 \, b d e^{2} n r^{2} + 6250 \, b d e^{2} n r - 3125 \, b d e^{2} n\right)} \log\left(x\right)\right)} x^{2 \, r} - 75 \, {\left(36 \, a d^{2} e r^{5} - 625 \, b d^{2} e n - 12 \, {\left(3 \, b d^{2} e n + 40 \, a d^{2} e\right)} r^{4} - 3125 \, a d^{2} e + 25 \, {\left(12 \, b d^{2} e n + 97 \, a d^{2} e\right)} r^{3} - 25 \, {\left(37 \, b d^{2} e n + 235 \, a d^{2} e\right)} r^{2} + 625 \, {\left(2 \, b d^{2} e n + 11 \, a d^{2} e\right)} r + {\left(36 \, b d^{2} e r^{5} - 480 \, b d^{2} e r^{4} + 2425 \, b d^{2} e r^{3} - 5875 \, b d^{2} e r^{2} + 6875 \, b d^{2} e r - 3125 \, b d^{2} e\right)} \log\left(c\right) + {\left(36 \, b d^{2} e n r^{5} - 480 \, b d^{2} e n r^{4} + 2425 \, b d^{2} e n r^{3} - 5875 \, b d^{2} e n r^{2} + 6875 \, b d^{2} e n r - 3125 \, b d^{2} e n\right)} \log\left(x\right)\right)} x^{r} + 5 \, {\left(36 \, b d^{3} r^{6} - 660 \, b d^{3} r^{5} + 4825 \, b d^{3} r^{4} - 18000 \, b d^{3} r^{3} + 36250 \, b d^{3} r^{2} - 37500 \, b d^{3} r + 15625 \, b d^{3}\right)} \log\left(c\right) + 5 \, {\left(36 \, b d^{3} n r^{6} - 660 \, b d^{3} n r^{5} + 4825 \, b d^{3} n r^{4} - 18000 \, b d^{3} n r^{3} + 36250 \, b d^{3} n r^{2} - 37500 \, b d^{3} n r + 15625 \, b d^{3} n\right)} \log\left(x\right)}{25 \, {\left(36 \, r^{6} - 660 \, r^{5} + 4825 \, r^{4} - 18000 \, r^{3} + 36250 \, r^{2} - 37500 \, r + 15625\right)} x^{5}}"," ",0,"-1/25*(36*(b*d^3*n + 5*a*d^3)*r^6 - 660*(b*d^3*n + 5*a*d^3)*r^5 + 15625*b*d^3*n + 4825*(b*d^3*n + 5*a*d^3)*r^4 + 78125*a*d^3 - 18000*(b*d^3*n + 5*a*d^3)*r^3 + 36250*(b*d^3*n + 5*a*d^3)*r^2 - 37500*(b*d^3*n + 5*a*d^3)*r - 25*(12*a*e^3*r^5 - 625*b*e^3*n - 4*(b*e^3*n + 50*a*e^3)*r^4 - 3125*a*e^3 + 15*(4*b*e^3*n + 85*a*e^3)*r^3 - 25*(13*b*e^3*n + 155*a*e^3)*r^2 + 375*(2*b*e^3*n + 15*a*e^3)*r + (12*b*e^3*r^5 - 200*b*e^3*r^4 + 1275*b*e^3*r^3 - 3875*b*e^3*r^2 + 5625*b*e^3*r - 3125*b*e^3)*log(c) + (12*b*e^3*n*r^5 - 200*b*e^3*n*r^4 + 1275*b*e^3*n*r^3 - 3875*b*e^3*n*r^2 + 5625*b*e^3*n*r - 3125*b*e^3*n)*log(x))*x^(3*r) - 75*(18*a*d*e^2*r^5 - 625*b*d*e^2*n - 3*(3*b*d*e^2*n + 95*a*d*e^2)*r^4 - 3125*a*d*e^2 + 20*(6*b*d*e^2*n + 85*a*d*e^2)*r^3 - 50*(11*b*d*e^2*n + 95*a*d*e^2)*r^2 + 250*(4*b*d*e^2*n + 25*a*d*e^2)*r + (18*b*d*e^2*r^5 - 285*b*d*e^2*r^4 + 1700*b*d*e^2*r^3 - 4750*b*d*e^2*r^2 + 6250*b*d*e^2*r - 3125*b*d*e^2)*log(c) + (18*b*d*e^2*n*r^5 - 285*b*d*e^2*n*r^4 + 1700*b*d*e^2*n*r^3 - 4750*b*d*e^2*n*r^2 + 6250*b*d*e^2*n*r - 3125*b*d*e^2*n)*log(x))*x^(2*r) - 75*(36*a*d^2*e*r^5 - 625*b*d^2*e*n - 12*(3*b*d^2*e*n + 40*a*d^2*e)*r^4 - 3125*a*d^2*e + 25*(12*b*d^2*e*n + 97*a*d^2*e)*r^3 - 25*(37*b*d^2*e*n + 235*a*d^2*e)*r^2 + 625*(2*b*d^2*e*n + 11*a*d^2*e)*r + (36*b*d^2*e*r^5 - 480*b*d^2*e*r^4 + 2425*b*d^2*e*r^3 - 5875*b*d^2*e*r^2 + 6875*b*d^2*e*r - 3125*b*d^2*e)*log(c) + (36*b*d^2*e*n*r^5 - 480*b*d^2*e*n*r^4 + 2425*b*d^2*e*n*r^3 - 5875*b*d^2*e*n*r^2 + 6875*b*d^2*e*n*r - 3125*b*d^2*e*n)*log(x))*x^r + 5*(36*b*d^3*r^6 - 660*b*d^3*r^5 + 4825*b*d^3*r^4 - 18000*b*d^3*r^3 + 36250*b*d^3*r^2 - 37500*b*d^3*r + 15625*b*d^3)*log(c) + 5*(36*b*d^3*n*r^6 - 660*b*d^3*n*r^5 + 4825*b*d^3*n*r^4 - 18000*b*d^3*n*r^3 + 36250*b*d^3*n*r^2 - 37500*b*d^3*n*r + 15625*b*d^3*n)*log(x))/((36*r^6 - 660*r^5 + 4825*r^4 - 18000*r^3 + 36250*r^2 - 37500*r + 15625)*x^5)","B",0
404,1,981,0,0.704963," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^8,x, algorithm=""fricas"")","-\frac{36 \, {\left(b d^{3} n + 7 \, a d^{3}\right)} r^{6} - 924 \, {\left(b d^{3} n + 7 \, a d^{3}\right)} r^{5} + 117649 \, b d^{3} n + 9457 \, {\left(b d^{3} n + 7 \, a d^{3}\right)} r^{4} + 823543 \, a d^{3} - 49392 \, {\left(b d^{3} n + 7 \, a d^{3}\right)} r^{3} + 139258 \, {\left(b d^{3} n + 7 \, a d^{3}\right)} r^{2} - 201684 \, {\left(b d^{3} n + 7 \, a d^{3}\right)} r - 49 \, {\left(12 \, a e^{3} r^{5} - 2401 \, b e^{3} n - 4 \, {\left(b e^{3} n + 70 \, a e^{3}\right)} r^{4} - 16807 \, a e^{3} + 21 \, {\left(4 \, b e^{3} n + 119 \, a e^{3}\right)} r^{3} - 49 \, {\left(13 \, b e^{3} n + 217 \, a e^{3}\right)} r^{2} + 1029 \, {\left(2 \, b e^{3} n + 21 \, a e^{3}\right)} r + {\left(12 \, b e^{3} r^{5} - 280 \, b e^{3} r^{4} + 2499 \, b e^{3} r^{3} - 10633 \, b e^{3} r^{2} + 21609 \, b e^{3} r - 16807 \, b e^{3}\right)} \log\left(c\right) + {\left(12 \, b e^{3} n r^{5} - 280 \, b e^{3} n r^{4} + 2499 \, b e^{3} n r^{3} - 10633 \, b e^{3} n r^{2} + 21609 \, b e^{3} n r - 16807 \, b e^{3} n\right)} \log\left(x\right)\right)} x^{3 \, r} - 147 \, {\left(18 \, a d e^{2} r^{5} - 2401 \, b d e^{2} n - 3 \, {\left(3 \, b d e^{2} n + 133 \, a d e^{2}\right)} r^{4} - 16807 \, a d e^{2} + 28 \, {\left(6 \, b d e^{2} n + 119 \, a d e^{2}\right)} r^{3} - 98 \, {\left(11 \, b d e^{2} n + 133 \, a d e^{2}\right)} r^{2} + 686 \, {\left(4 \, b d e^{2} n + 35 \, a d e^{2}\right)} r + {\left(18 \, b d e^{2} r^{5} - 399 \, b d e^{2} r^{4} + 3332 \, b d e^{2} r^{3} - 13034 \, b d e^{2} r^{2} + 24010 \, b d e^{2} r - 16807 \, b d e^{2}\right)} \log\left(c\right) + {\left(18 \, b d e^{2} n r^{5} - 399 \, b d e^{2} n r^{4} + 3332 \, b d e^{2} n r^{3} - 13034 \, b d e^{2} n r^{2} + 24010 \, b d e^{2} n r - 16807 \, b d e^{2} n\right)} \log\left(x\right)\right)} x^{2 \, r} - 147 \, {\left(36 \, a d^{2} e r^{5} - 2401 \, b d^{2} e n - 12 \, {\left(3 \, b d^{2} e n + 56 \, a d^{2} e\right)} r^{4} - 16807 \, a d^{2} e + 7 \, {\left(60 \, b d^{2} e n + 679 \, a d^{2} e\right)} r^{3} - 49 \, {\left(37 \, b d^{2} e n + 329 \, a d^{2} e\right)} r^{2} + 343 \, {\left(10 \, b d^{2} e n + 77 \, a d^{2} e\right)} r + {\left(36 \, b d^{2} e r^{5} - 672 \, b d^{2} e r^{4} + 4753 \, b d^{2} e r^{3} - 16121 \, b d^{2} e r^{2} + 26411 \, b d^{2} e r - 16807 \, b d^{2} e\right)} \log\left(c\right) + {\left(36 \, b d^{2} e n r^{5} - 672 \, b d^{2} e n r^{4} + 4753 \, b d^{2} e n r^{3} - 16121 \, b d^{2} e n r^{2} + 26411 \, b d^{2} e n r - 16807 \, b d^{2} e n\right)} \log\left(x\right)\right)} x^{r} + 7 \, {\left(36 \, b d^{3} r^{6} - 924 \, b d^{3} r^{5} + 9457 \, b d^{3} r^{4} - 49392 \, b d^{3} r^{3} + 139258 \, b d^{3} r^{2} - 201684 \, b d^{3} r + 117649 \, b d^{3}\right)} \log\left(c\right) + 7 \, {\left(36 \, b d^{3} n r^{6} - 924 \, b d^{3} n r^{5} + 9457 \, b d^{3} n r^{4} - 49392 \, b d^{3} n r^{3} + 139258 \, b d^{3} n r^{2} - 201684 \, b d^{3} n r + 117649 \, b d^{3} n\right)} \log\left(x\right)}{49 \, {\left(36 \, r^{6} - 924 \, r^{5} + 9457 \, r^{4} - 49392 \, r^{3} + 139258 \, r^{2} - 201684 \, r + 117649\right)} x^{7}}"," ",0,"-1/49*(36*(b*d^3*n + 7*a*d^3)*r^6 - 924*(b*d^3*n + 7*a*d^3)*r^5 + 117649*b*d^3*n + 9457*(b*d^3*n + 7*a*d^3)*r^4 + 823543*a*d^3 - 49392*(b*d^3*n + 7*a*d^3)*r^3 + 139258*(b*d^3*n + 7*a*d^3)*r^2 - 201684*(b*d^3*n + 7*a*d^3)*r - 49*(12*a*e^3*r^5 - 2401*b*e^3*n - 4*(b*e^3*n + 70*a*e^3)*r^4 - 16807*a*e^3 + 21*(4*b*e^3*n + 119*a*e^3)*r^3 - 49*(13*b*e^3*n + 217*a*e^3)*r^2 + 1029*(2*b*e^3*n + 21*a*e^3)*r + (12*b*e^3*r^5 - 280*b*e^3*r^4 + 2499*b*e^3*r^3 - 10633*b*e^3*r^2 + 21609*b*e^3*r - 16807*b*e^3)*log(c) + (12*b*e^3*n*r^5 - 280*b*e^3*n*r^4 + 2499*b*e^3*n*r^3 - 10633*b*e^3*n*r^2 + 21609*b*e^3*n*r - 16807*b*e^3*n)*log(x))*x^(3*r) - 147*(18*a*d*e^2*r^5 - 2401*b*d*e^2*n - 3*(3*b*d*e^2*n + 133*a*d*e^2)*r^4 - 16807*a*d*e^2 + 28*(6*b*d*e^2*n + 119*a*d*e^2)*r^3 - 98*(11*b*d*e^2*n + 133*a*d*e^2)*r^2 + 686*(4*b*d*e^2*n + 35*a*d*e^2)*r + (18*b*d*e^2*r^5 - 399*b*d*e^2*r^4 + 3332*b*d*e^2*r^3 - 13034*b*d*e^2*r^2 + 24010*b*d*e^2*r - 16807*b*d*e^2)*log(c) + (18*b*d*e^2*n*r^5 - 399*b*d*e^2*n*r^4 + 3332*b*d*e^2*n*r^3 - 13034*b*d*e^2*n*r^2 + 24010*b*d*e^2*n*r - 16807*b*d*e^2*n)*log(x))*x^(2*r) - 147*(36*a*d^2*e*r^5 - 2401*b*d^2*e*n - 12*(3*b*d^2*e*n + 56*a*d^2*e)*r^4 - 16807*a*d^2*e + 7*(60*b*d^2*e*n + 679*a*d^2*e)*r^3 - 49*(37*b*d^2*e*n + 329*a*d^2*e)*r^2 + 343*(10*b*d^2*e*n + 77*a*d^2*e)*r + (36*b*d^2*e*r^5 - 672*b*d^2*e*r^4 + 4753*b*d^2*e*r^3 - 16121*b*d^2*e*r^2 + 26411*b*d^2*e*r - 16807*b*d^2*e)*log(c) + (36*b*d^2*e*n*r^5 - 672*b*d^2*e*n*r^4 + 4753*b*d^2*e*n*r^3 - 16121*b*d^2*e*n*r^2 + 26411*b*d^2*e*n*r - 16807*b*d^2*e*n)*log(x))*x^r + 7*(36*b*d^3*r^6 - 924*b*d^3*r^5 + 9457*b*d^3*r^4 - 49392*b*d^3*r^3 + 139258*b*d^3*r^2 - 201684*b*d^3*r + 117649*b*d^3)*log(c) + 7*(36*b*d^3*n*r^6 - 924*b*d^3*n*r^5 + 9457*b*d^3*n*r^4 - 49392*b*d^3*n*r^3 + 139258*b*d^3*n*r^2 - 201684*b*d^3*n*r + 117649*b*d^3*n)*log(x))/((36*r^6 - 924*r^5 + 9457*r^4 - 49392*r^3 + 139258*r^2 - 201684*r + 117649)*x^7)","B",0
405,1,981,0,0.851425," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^10,x, algorithm=""fricas"")","-\frac{4 \, {\left(b d^{3} n + 9 \, a d^{3}\right)} r^{6} - 132 \, {\left(b d^{3} n + 9 \, a d^{3}\right)} r^{5} + 59049 \, b d^{3} n + 1737 \, {\left(b d^{3} n + 9 \, a d^{3}\right)} r^{4} + 531441 \, a d^{3} - 11664 \, {\left(b d^{3} n + 9 \, a d^{3}\right)} r^{3} + 42282 \, {\left(b d^{3} n + 9 \, a d^{3}\right)} r^{2} - 78732 \, {\left(b d^{3} n + 9 \, a d^{3}\right)} r - 9 \, {\left(12 \, a e^{3} r^{5} - 6561 \, b e^{3} n - 4 \, {\left(b e^{3} n + 90 \, a e^{3}\right)} r^{4} - 59049 \, a e^{3} + 27 \, {\left(4 \, b e^{3} n + 153 \, a e^{3}\right)} r^{3} - 81 \, {\left(13 \, b e^{3} n + 279 \, a e^{3}\right)} r^{2} + 2187 \, {\left(2 \, b e^{3} n + 27 \, a e^{3}\right)} r + 3 \, {\left(4 \, b e^{3} r^{5} - 120 \, b e^{3} r^{4} + 1377 \, b e^{3} r^{3} - 7533 \, b e^{3} r^{2} + 19683 \, b e^{3} r - 19683 \, b e^{3}\right)} \log\left(c\right) + 3 \, {\left(4 \, b e^{3} n r^{5} - 120 \, b e^{3} n r^{4} + 1377 \, b e^{3} n r^{3} - 7533 \, b e^{3} n r^{2} + 19683 \, b e^{3} n r - 19683 \, b e^{3} n\right)} \log\left(x\right)\right)} x^{3 \, r} - 243 \, {\left(2 \, a d e^{2} r^{5} - 729 \, b d e^{2} n - {\left(b d e^{2} n + 57 \, a d e^{2}\right)} r^{4} - 6561 \, a d e^{2} + 12 \, {\left(2 \, b d e^{2} n + 51 \, a d e^{2}\right)} r^{3} - 18 \, {\left(11 \, b d e^{2} n + 171 \, a d e^{2}\right)} r^{2} + 162 \, {\left(4 \, b d e^{2} n + 45 \, a d e^{2}\right)} r + {\left(2 \, b d e^{2} r^{5} - 57 \, b d e^{2} r^{4} + 612 \, b d e^{2} r^{3} - 3078 \, b d e^{2} r^{2} + 7290 \, b d e^{2} r - 6561 \, b d e^{2}\right)} \log\left(c\right) + {\left(2 \, b d e^{2} n r^{5} - 57 \, b d e^{2} n r^{4} + 612 \, b d e^{2} n r^{3} - 3078 \, b d e^{2} n r^{2} + 7290 \, b d e^{2} n r - 6561 \, b d e^{2} n\right)} \log\left(x\right)\right)} x^{2 \, r} - 243 \, {\left(4 \, a d^{2} e r^{5} - 729 \, b d^{2} e n - 4 \, {\left(b d^{2} e n + 24 \, a d^{2} e\right)} r^{4} - 6561 \, a d^{2} e + 3 \, {\left(20 \, b d^{2} e n + 291 \, a d^{2} e\right)} r^{3} - 9 \, {\left(37 \, b d^{2} e n + 423 \, a d^{2} e\right)} r^{2} + 81 \, {\left(10 \, b d^{2} e n + 99 \, a d^{2} e\right)} r + {\left(4 \, b d^{2} e r^{5} - 96 \, b d^{2} e r^{4} + 873 \, b d^{2} e r^{3} - 3807 \, b d^{2} e r^{2} + 8019 \, b d^{2} e r - 6561 \, b d^{2} e\right)} \log\left(c\right) + {\left(4 \, b d^{2} e n r^{5} - 96 \, b d^{2} e n r^{4} + 873 \, b d^{2} e n r^{3} - 3807 \, b d^{2} e n r^{2} + 8019 \, b d^{2} e n r - 6561 \, b d^{2} e n\right)} \log\left(x\right)\right)} x^{r} + 9 \, {\left(4 \, b d^{3} r^{6} - 132 \, b d^{3} r^{5} + 1737 \, b d^{3} r^{4} - 11664 \, b d^{3} r^{3} + 42282 \, b d^{3} r^{2} - 78732 \, b d^{3} r + 59049 \, b d^{3}\right)} \log\left(c\right) + 9 \, {\left(4 \, b d^{3} n r^{6} - 132 \, b d^{3} n r^{5} + 1737 \, b d^{3} n r^{4} - 11664 \, b d^{3} n r^{3} + 42282 \, b d^{3} n r^{2} - 78732 \, b d^{3} n r + 59049 \, b d^{3} n\right)} \log\left(x\right)}{81 \, {\left(4 \, r^{6} - 132 \, r^{5} + 1737 \, r^{4} - 11664 \, r^{3} + 42282 \, r^{2} - 78732 \, r + 59049\right)} x^{9}}"," ",0,"-1/81*(4*(b*d^3*n + 9*a*d^3)*r^6 - 132*(b*d^3*n + 9*a*d^3)*r^5 + 59049*b*d^3*n + 1737*(b*d^3*n + 9*a*d^3)*r^4 + 531441*a*d^3 - 11664*(b*d^3*n + 9*a*d^3)*r^3 + 42282*(b*d^3*n + 9*a*d^3)*r^2 - 78732*(b*d^3*n + 9*a*d^3)*r - 9*(12*a*e^3*r^5 - 6561*b*e^3*n - 4*(b*e^3*n + 90*a*e^3)*r^4 - 59049*a*e^3 + 27*(4*b*e^3*n + 153*a*e^3)*r^3 - 81*(13*b*e^3*n + 279*a*e^3)*r^2 + 2187*(2*b*e^3*n + 27*a*e^3)*r + 3*(4*b*e^3*r^5 - 120*b*e^3*r^4 + 1377*b*e^3*r^3 - 7533*b*e^3*r^2 + 19683*b*e^3*r - 19683*b*e^3)*log(c) + 3*(4*b*e^3*n*r^5 - 120*b*e^3*n*r^4 + 1377*b*e^3*n*r^3 - 7533*b*e^3*n*r^2 + 19683*b*e^3*n*r - 19683*b*e^3*n)*log(x))*x^(3*r) - 243*(2*a*d*e^2*r^5 - 729*b*d*e^2*n - (b*d*e^2*n + 57*a*d*e^2)*r^4 - 6561*a*d*e^2 + 12*(2*b*d*e^2*n + 51*a*d*e^2)*r^3 - 18*(11*b*d*e^2*n + 171*a*d*e^2)*r^2 + 162*(4*b*d*e^2*n + 45*a*d*e^2)*r + (2*b*d*e^2*r^5 - 57*b*d*e^2*r^4 + 612*b*d*e^2*r^3 - 3078*b*d*e^2*r^2 + 7290*b*d*e^2*r - 6561*b*d*e^2)*log(c) + (2*b*d*e^2*n*r^5 - 57*b*d*e^2*n*r^4 + 612*b*d*e^2*n*r^3 - 3078*b*d*e^2*n*r^2 + 7290*b*d*e^2*n*r - 6561*b*d*e^2*n)*log(x))*x^(2*r) - 243*(4*a*d^2*e*r^5 - 729*b*d^2*e*n - 4*(b*d^2*e*n + 24*a*d^2*e)*r^4 - 6561*a*d^2*e + 3*(20*b*d^2*e*n + 291*a*d^2*e)*r^3 - 9*(37*b*d^2*e*n + 423*a*d^2*e)*r^2 + 81*(10*b*d^2*e*n + 99*a*d^2*e)*r + (4*b*d^2*e*r^5 - 96*b*d^2*e*r^4 + 873*b*d^2*e*r^3 - 3807*b*d^2*e*r^2 + 8019*b*d^2*e*r - 6561*b*d^2*e)*log(c) + (4*b*d^2*e*n*r^5 - 96*b*d^2*e*n*r^4 + 873*b*d^2*e*n*r^3 - 3807*b*d^2*e*n*r^2 + 8019*b*d^2*e*n*r - 6561*b*d^2*e*n)*log(x))*x^r + 9*(4*b*d^3*r^6 - 132*b*d^3*r^5 + 1737*b*d^3*r^4 - 11664*b*d^3*r^3 + 42282*b*d^3*r^2 - 78732*b*d^3*r + 59049*b*d^3)*log(c) + 9*(4*b*d^3*n*r^6 - 132*b*d^3*n*r^5 + 1737*b*d^3*n*r^4 - 11664*b*d^3*n*r^3 + 42282*b*d^3*n*r^2 - 78732*b*d^3*n*r + 59049*b*d^3*n)*log(x))/((4*r^6 - 132*r^5 + 1737*r^4 - 11664*r^3 + 42282*r^2 - 78732*r + 59049)*x^9)","B",0
406,0,0,0,1.001076," ","integrate(x^3*(a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left(c x^{n}\right) + a x^{3}}{e x^{r} + d}, x\right)"," ",0,"integral((b*x^3*log(c*x^n) + a*x^3)/(e*x^r + d), x)","F",0
407,0,0,0,1.094155," ","integrate(x*(a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x \log\left(c x^{n}\right) + a x}{e x^{r} + d}, x\right)"," ",0,"integral((b*x*log(c*x^n) + a*x)/(e*x^r + d), x)","F",0
408,1,93,0,0.954255," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r),x, algorithm=""fricas"")","\frac{b n r^{2} \log\left(x\right)^{2} - 2 \, b n r \log\left(x\right) \log\left(\frac{e x^{r} + d}{d}\right) - 2 \, b n {\rm Li}_2\left(-\frac{e x^{r} + d}{d} + 1\right) - 2 \, {\left(b r \log\left(c\right) + a r\right)} \log\left(e x^{r} + d\right) + 2 \, {\left(b r^{2} \log\left(c\right) + a r^{2}\right)} \log\left(x\right)}{2 \, d r^{2}}"," ",0,"1/2*(b*n*r^2*log(x)^2 - 2*b*n*r*log(x)*log((e*x^r + d)/d) - 2*b*n*dilog(-(e*x^r + d)/d + 1) - 2*(b*r*log(c) + a*r)*log(e*x^r + d) + 2*(b*r^2*log(c) + a*r^2)*log(x))/(d*r^2)","A",0
409,0,0,0,0.747077," ","integrate((a+b*log(c*x^n))/x^3/(d+e*x^r),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x^{3} x^{r} + d x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x^3*x^r + d*x^3), x)","F",0
410,0,0,0,0.824521," ","integrate(x^2*(a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left(c x^{n}\right) + a x^{2}}{e x^{r} + d}, x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)/(e*x^r + d), x)","F",0
411,0,0,0,1.110552," ","integrate((a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x^{r} + d}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x^r + d), x)","F",0
412,0,0,0,1.088023," ","integrate((a+b*log(c*x^n))/x^2/(d+e*x^r),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e x^{2} x^{r} + d x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e*x^2*x^r + d*x^2), x)","F",0
413,0,0,0,1.171333," ","integrate(x^3*(a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{3} \log\left(c x^{n}\right) + a x^{3}}{e^{2} x^{2 \, r} + 2 \, d e x^{r} + d^{2}}, x\right)"," ",0,"integral((b*x^3*log(c*x^n) + a*x^3)/(e^2*x^(2*r) + 2*d*e*x^r + d^2), x)","F",0
414,0,0,0,0.817402," ","integrate(x*(a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x \log\left(c x^{n}\right) + a x}{e^{2} x^{2 \, r} + 2 \, d e x^{r} + d^{2}}, x\right)"," ",0,"integral((b*x*log(c*x^n) + a*x)/(e^2*x^(2*r) + 2*d*e*x^r + d^2), x)","F",0
415,1,214,0,1.128441," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^2,x, algorithm=""fricas"")","\frac{b d n r^{2} \log\left(x\right)^{2} + 2 \, b d r \log\left(c\right) + 2 \, a d r + {\left(b e n r^{2} \log\left(x\right)^{2} + 2 \, {\left(b e r^{2} \log\left(c\right) - b e n r + a e r^{2}\right)} \log\left(x\right)\right)} x^{r} - 2 \, {\left(b e n x^{r} + b d n\right)} {\rm Li}_2\left(-\frac{e x^{r} + d}{d} + 1\right) - 2 \, {\left(b d r \log\left(c\right) - b d n + a d r + {\left(b e r \log\left(c\right) - b e n + a e r\right)} x^{r}\right)} \log\left(e x^{r} + d\right) + 2 \, {\left(b d r^{2} \log\left(c\right) + a d r^{2}\right)} \log\left(x\right) - 2 \, {\left(b e n r x^{r} \log\left(x\right) + b d n r \log\left(x\right)\right)} \log\left(\frac{e x^{r} + d}{d}\right)}{2 \, {\left(d^{2} e r^{2} x^{r} + d^{3} r^{2}\right)}}"," ",0,"1/2*(b*d*n*r^2*log(x)^2 + 2*b*d*r*log(c) + 2*a*d*r + (b*e*n*r^2*log(x)^2 + 2*(b*e*r^2*log(c) - b*e*n*r + a*e*r^2)*log(x))*x^r - 2*(b*e*n*x^r + b*d*n)*dilog(-(e*x^r + d)/d + 1) - 2*(b*d*r*log(c) - b*d*n + a*d*r + (b*e*r*log(c) - b*e*n + a*e*r)*x^r)*log(e*x^r + d) + 2*(b*d*r^2*log(c) + a*d*r^2)*log(x) - 2*(b*e*n*r*x^r*log(x) + b*d*n*r*log(x))*log((e*x^r + d)/d))/(d^2*e*r^2*x^r + d^3*r^2)","B",0
416,0,0,0,0.797772," ","integrate((a+b*log(c*x^n))/x^3/(d+e*x^r)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{2} x^{3} x^{2 \, r} + 2 \, d e x^{3} x^{r} + d^{2} x^{3}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^2*x^3*x^(2*r) + 2*d*e*x^3*x^r + d^2*x^3), x)","F",0
417,0,0,0,0.982918," ","integrate(x^2*(a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b x^{2} \log\left(c x^{n}\right) + a x^{2}}{e^{2} x^{2 \, r} + 2 \, d e x^{r} + d^{2}}, x\right)"," ",0,"integral((b*x^2*log(c*x^n) + a*x^2)/(e^2*x^(2*r) + 2*d*e*x^r + d^2), x)","F",0
418,0,0,0,1.018919," ","integrate((a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{2} x^{2 \, r} + 2 \, d e x^{r} + d^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^2*x^(2*r) + 2*d*e*x^r + d^2), x)","F",0
419,0,0,0,0.998492," ","integrate((a+b*log(c*x^n))/x^2/(d+e*x^r)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \log\left(c x^{n}\right) + a}{e^{2} x^{2} x^{2 \, r} + 2 \, d e x^{2} x^{r} + d^{2} x^{2}}, x\right)"," ",0,"integral((b*log(c*x^n) + a)/(e^2*x^2*x^(2*r) + 2*d*e*x^2*x^r + d^2*x^2), x)","F",0
420,1,45,0,1.063016," ","integrate((a+b*log(c*x^n))/x/(c-1/(x^n)),x, algorithm=""fricas"")","\frac{b n \log\left(-c x^{n} + 1\right) \log\left(x\right) + b {\rm Li}_2\left(c x^{n}\right) + {\left(b \log\left(c\right) + a\right)} \log\left(c x^{n} - 1\right)}{c n}"," ",0,"(b*n*log(-c*x^n + 1)*log(x) + b*dilog(c*x^n) + (b*log(c) + a)*log(c*x^n - 1))/(c*n)","A",0
421,1,169,0,0.916193," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{18 \, b d^{3} n r^{2} \log\left(x\right)^{2} + 4 \, {\left(3 \, b e^{3} n r \log\left(x\right) + 3 \, b e^{3} r \log\left(c\right) - b e^{3} n + 3 \, a e^{3} r\right)} x^{3 \, r} + 27 \, {\left(2 \, b d e^{2} n r \log\left(x\right) + 2 \, b d e^{2} r \log\left(c\right) - b d e^{2} n + 2 \, a d e^{2} r\right)} x^{2 \, r} + 108 \, {\left(b d^{2} e n r \log\left(x\right) + b d^{2} e r \log\left(c\right) - b d^{2} e n + a d^{2} e r\right)} x^{r} + 36 \, {\left(b d^{3} r^{2} \log\left(c\right) + a d^{3} r^{2}\right)} \log\left(x\right)}{36 \, r^{2}}"," ",0,"1/36*(18*b*d^3*n*r^2*log(x)^2 + 4*(3*b*e^3*n*r*log(x) + 3*b*e^3*r*log(c) - b*e^3*n + 3*a*e^3*r)*x^(3*r) + 27*(2*b*d*e^2*n*r*log(x) + 2*b*d*e^2*r*log(c) - b*d*e^2*n + 2*a*d*e^2*r)*x^(2*r) + 108*(b*d^2*e*n*r*log(x) + b*d^2*e*r*log(c) - b*d^2*e*n + a*d^2*e*r)*x^r + 36*(b*d^3*r^2*log(c) + a*d^3*r^2)*log(x))/r^2","A",0
422,1,115,0,0.888858," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{2 \, b d^{2} n r^{2} \log\left(x\right)^{2} + {\left(2 \, b e^{2} n r \log\left(x\right) + 2 \, b e^{2} r \log\left(c\right) - b e^{2} n + 2 \, a e^{2} r\right)} x^{2 \, r} + 8 \, {\left(b d e n r \log\left(x\right) + b d e r \log\left(c\right) - b d e n + a d e r\right)} x^{r} + 4 \, {\left(b d^{2} r^{2} \log\left(c\right) + a d^{2} r^{2}\right)} \log\left(x\right)}{4 \, r^{2}}"," ",0,"1/4*(2*b*d^2*n*r^2*log(x)^2 + (2*b*e^2*n*r*log(x) + 2*b*e^2*r*log(c) - b*e^2*n + 2*a*e^2*r)*x^(2*r) + 8*(b*d*e*n*r*log(x) + b*d*e*r*log(c) - b*d*e*n + a*d*e*r)*x^r + 4*(b*d^2*r^2*log(c) + a*d^2*r^2)*log(x))/r^2","A",0
423,1,64,0,0.702725," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\frac{b d n r^{2} \log\left(x\right)^{2} + 2 \, {\left(b e n r \log\left(x\right) + b e r \log\left(c\right) - b e n + a e r\right)} x^{r} + 2 \, {\left(b d r^{2} \log\left(c\right) + a d r^{2}\right)} \log\left(x\right)}{2 \, r^{2}}"," ",0,"1/2*(b*d*n*r^2*log(x)^2 + 2*(b*e*n*r*log(x) + b*e*r*log(c) - b*e*n + a*e*r)*x^r + 2*(b*d*r^2*log(c) + a*d*r^2)*log(x))/r^2","A",0
424,1,93,0,1.120677," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r),x, algorithm=""fricas"")","\frac{b n r^{2} \log\left(x\right)^{2} - 2 \, b n r \log\left(x\right) \log\left(\frac{e x^{r} + d}{d}\right) - 2 \, b n {\rm Li}_2\left(-\frac{e x^{r} + d}{d} + 1\right) - 2 \, {\left(b r \log\left(c\right) + a r\right)} \log\left(e x^{r} + d\right) + 2 \, {\left(b r^{2} \log\left(c\right) + a r^{2}\right)} \log\left(x\right)}{2 \, d r^{2}}"," ",0,"1/2*(b*n*r^2*log(x)^2 - 2*b*n*r*log(x)*log((e*x^r + d)/d) - 2*b*n*dilog(-(e*x^r + d)/d + 1) - 2*(b*r*log(c) + a*r)*log(e*x^r + d) + 2*(b*r^2*log(c) + a*r^2)*log(x))/(d*r^2)","A",0
425,1,214,0,1.081303," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^2,x, algorithm=""fricas"")","\frac{b d n r^{2} \log\left(x\right)^{2} + 2 \, b d r \log\left(c\right) + 2 \, a d r + {\left(b e n r^{2} \log\left(x\right)^{2} + 2 \, {\left(b e r^{2} \log\left(c\right) - b e n r + a e r^{2}\right)} \log\left(x\right)\right)} x^{r} - 2 \, {\left(b e n x^{r} + b d n\right)} {\rm Li}_2\left(-\frac{e x^{r} + d}{d} + 1\right) - 2 \, {\left(b d r \log\left(c\right) - b d n + a d r + {\left(b e r \log\left(c\right) - b e n + a e r\right)} x^{r}\right)} \log\left(e x^{r} + d\right) + 2 \, {\left(b d r^{2} \log\left(c\right) + a d r^{2}\right)} \log\left(x\right) - 2 \, {\left(b e n r x^{r} \log\left(x\right) + b d n r \log\left(x\right)\right)} \log\left(\frac{e x^{r} + d}{d}\right)}{2 \, {\left(d^{2} e r^{2} x^{r} + d^{3} r^{2}\right)}}"," ",0,"1/2*(b*d*n*r^2*log(x)^2 + 2*b*d*r*log(c) + 2*a*d*r + (b*e*n*r^2*log(x)^2 + 2*(b*e*r^2*log(c) - b*e*n*r + a*e*r^2)*log(x))*x^r - 2*(b*e*n*x^r + b*d*n)*dilog(-(e*x^r + d)/d + 1) - 2*(b*d*r*log(c) - b*d*n + a*d*r + (b*e*r*log(c) - b*e*n + a*e*r)*x^r)*log(e*x^r + d) + 2*(b*d*r^2*log(c) + a*d*r^2)*log(x) - 2*(b*e*n*r*x^r*log(x) + b*d*n*r*log(x))*log((e*x^r + d)/d))/(d^2*e*r^2*x^r + d^3*r^2)","B",0
426,1,401,0,1.140920," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^3,x, algorithm=""fricas"")","\frac{b d^{2} n r^{2} \log\left(x\right)^{2} + 3 \, b d^{2} r \log\left(c\right) - b d^{2} n + 3 \, a d^{2} r + {\left(b e^{2} n r^{2} \log\left(x\right)^{2} + {\left(2 \, b e^{2} r^{2} \log\left(c\right) - 3 \, b e^{2} n r + 2 \, a e^{2} r^{2}\right)} \log\left(x\right)\right)} x^{2 \, r} + {\left(2 \, b d e n r^{2} \log\left(x\right)^{2} + 2 \, b d e r \log\left(c\right) - b d e n + 2 \, a d e r + 4 \, {\left(b d e r^{2} \log\left(c\right) - b d e n r + a d e r^{2}\right)} \log\left(x\right)\right)} x^{r} - 2 \, {\left(b e^{2} n x^{2 \, r} + 2 \, b d e n x^{r} + b d^{2} n\right)} {\rm Li}_2\left(-\frac{e x^{r} + d}{d} + 1\right) - {\left(2 \, b d^{2} r \log\left(c\right) - 3 \, b d^{2} n + 2 \, a d^{2} r + {\left(2 \, b e^{2} r \log\left(c\right) - 3 \, b e^{2} n + 2 \, a e^{2} r\right)} x^{2 \, r} + 2 \, {\left(2 \, b d e r \log\left(c\right) - 3 \, b d e n + 2 \, a d e r\right)} x^{r}\right)} \log\left(e x^{r} + d\right) + 2 \, {\left(b d^{2} r^{2} \log\left(c\right) + a d^{2} r^{2}\right)} \log\left(x\right) - 2 \, {\left(b e^{2} n r x^{2 \, r} \log\left(x\right) + 2 \, b d e n r x^{r} \log\left(x\right) + b d^{2} n r \log\left(x\right)\right)} \log\left(\frac{e x^{r} + d}{d}\right)}{2 \, {\left(d^{3} e^{2} r^{2} x^{2 \, r} + 2 \, d^{4} e r^{2} x^{r} + d^{5} r^{2}\right)}}"," ",0,"1/2*(b*d^2*n*r^2*log(x)^2 + 3*b*d^2*r*log(c) - b*d^2*n + 3*a*d^2*r + (b*e^2*n*r^2*log(x)^2 + (2*b*e^2*r^2*log(c) - 3*b*e^2*n*r + 2*a*e^2*r^2)*log(x))*x^(2*r) + (2*b*d*e*n*r^2*log(x)^2 + 2*b*d*e*r*log(c) - b*d*e*n + 2*a*d*e*r + 4*(b*d*e*r^2*log(c) - b*d*e*n*r + a*d*e*r^2)*log(x))*x^r - 2*(b*e^2*n*x^(2*r) + 2*b*d*e*n*x^r + b*d^2*n)*dilog(-(e*x^r + d)/d + 1) - (2*b*d^2*r*log(c) - 3*b*d^2*n + 2*a*d^2*r + (2*b*e^2*r*log(c) - 3*b*e^2*n + 2*a*e^2*r)*x^(2*r) + 2*(2*b*d*e*r*log(c) - 3*b*d*e*n + 2*a*d*e*r)*x^r)*log(e*x^r + d) + 2*(b*d^2*r^2*log(c) + a*d^2*r^2)*log(x) - 2*(b*e^2*n*r*x^(2*r)*log(x) + 2*b*d*e*n*r*x^r*log(x) + b*d^2*n*r*log(x))*log((e*x^r + d)/d))/(d^3*e^2*r^2*x^(2*r) + 2*d^4*e*r^2*x^r + d^5*r^2)","B",0
427,1,521,0,1.126677," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))^2/x,x, algorithm=""fricas"")","\frac{36 \, b^{2} d^{3} n^{2} r^{3} \log\left(x\right)^{3} + 108 \, {\left(b^{2} d^{3} n r^{3} \log\left(c\right) + a b d^{3} n r^{3}\right)} \log\left(x\right)^{2} + 4 \, {\left(9 \, b^{2} e^{3} n^{2} r^{2} \log\left(x\right)^{2} + 9 \, b^{2} e^{3} r^{2} \log\left(c\right)^{2} + 2 \, b^{2} e^{3} n^{2} - 6 \, a b e^{3} n r + 9 \, a^{2} e^{3} r^{2} - 6 \, {\left(b^{2} e^{3} n r - 3 \, a b e^{3} r^{2}\right)} \log\left(c\right) + 6 \, {\left(3 \, b^{2} e^{3} n r^{2} \log\left(c\right) - b^{2} e^{3} n^{2} r + 3 \, a b e^{3} n r^{2}\right)} \log\left(x\right)\right)} x^{3 \, r} + 81 \, {\left(2 \, b^{2} d e^{2} n^{2} r^{2} \log\left(x\right)^{2} + 2 \, b^{2} d e^{2} r^{2} \log\left(c\right)^{2} + b^{2} d e^{2} n^{2} - 2 \, a b d e^{2} n r + 2 \, a^{2} d e^{2} r^{2} - 2 \, {\left(b^{2} d e^{2} n r - 2 \, a b d e^{2} r^{2}\right)} \log\left(c\right) + 2 \, {\left(2 \, b^{2} d e^{2} n r^{2} \log\left(c\right) - b^{2} d e^{2} n^{2} r + 2 \, a b d e^{2} n r^{2}\right)} \log\left(x\right)\right)} x^{2 \, r} + 324 \, {\left(b^{2} d^{2} e n^{2} r^{2} \log\left(x\right)^{2} + b^{2} d^{2} e r^{2} \log\left(c\right)^{2} + 2 \, b^{2} d^{2} e n^{2} - 2 \, a b d^{2} e n r + a^{2} d^{2} e r^{2} - 2 \, {\left(b^{2} d^{2} e n r - a b d^{2} e r^{2}\right)} \log\left(c\right) + 2 \, {\left(b^{2} d^{2} e n r^{2} \log\left(c\right) - b^{2} d^{2} e n^{2} r + a b d^{2} e n r^{2}\right)} \log\left(x\right)\right)} x^{r} + 108 \, {\left(b^{2} d^{3} r^{3} \log\left(c\right)^{2} + 2 \, a b d^{3} r^{3} \log\left(c\right) + a^{2} d^{3} r^{3}\right)} \log\left(x\right)}{108 \, r^{3}}"," ",0,"1/108*(36*b^2*d^3*n^2*r^3*log(x)^3 + 108*(b^2*d^3*n*r^3*log(c) + a*b*d^3*n*r^3)*log(x)^2 + 4*(9*b^2*e^3*n^2*r^2*log(x)^2 + 9*b^2*e^3*r^2*log(c)^2 + 2*b^2*e^3*n^2 - 6*a*b*e^3*n*r + 9*a^2*e^3*r^2 - 6*(b^2*e^3*n*r - 3*a*b*e^3*r^2)*log(c) + 6*(3*b^2*e^3*n*r^2*log(c) - b^2*e^3*n^2*r + 3*a*b*e^3*n*r^2)*log(x))*x^(3*r) + 81*(2*b^2*d*e^2*n^2*r^2*log(x)^2 + 2*b^2*d*e^2*r^2*log(c)^2 + b^2*d*e^2*n^2 - 2*a*b*d*e^2*n*r + 2*a^2*d*e^2*r^2 - 2*(b^2*d*e^2*n*r - 2*a*b*d*e^2*r^2)*log(c) + 2*(2*b^2*d*e^2*n*r^2*log(c) - b^2*d*e^2*n^2*r + 2*a*b*d*e^2*n*r^2)*log(x))*x^(2*r) + 324*(b^2*d^2*e*n^2*r^2*log(x)^2 + b^2*d^2*e*r^2*log(c)^2 + 2*b^2*d^2*e*n^2 - 2*a*b*d^2*e*n*r + a^2*d^2*e*r^2 - 2*(b^2*d^2*e*n*r - a*b*d^2*e*r^2)*log(c) + 2*(b^2*d^2*e*n*r^2*log(c) - b^2*d^2*e*n^2*r + a*b*d^2*e*n*r^2)*log(x))*x^r + 108*(b^2*d^3*r^3*log(c)^2 + 2*a*b*d^3*r^3*log(c) + a^2*d^3*r^3)*log(x))/r^3","B",0
428,1,353,0,0.905468," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))^2/x,x, algorithm=""fricas"")","\frac{4 \, b^{2} d^{2} n^{2} r^{3} \log\left(x\right)^{3} + 12 \, {\left(b^{2} d^{2} n r^{3} \log\left(c\right) + a b d^{2} n r^{3}\right)} \log\left(x\right)^{2} + 3 \, {\left(2 \, b^{2} e^{2} n^{2} r^{2} \log\left(x\right)^{2} + 2 \, b^{2} e^{2} r^{2} \log\left(c\right)^{2} + b^{2} e^{2} n^{2} - 2 \, a b e^{2} n r + 2 \, a^{2} e^{2} r^{2} - 2 \, {\left(b^{2} e^{2} n r - 2 \, a b e^{2} r^{2}\right)} \log\left(c\right) + 2 \, {\left(2 \, b^{2} e^{2} n r^{2} \log\left(c\right) - b^{2} e^{2} n^{2} r + 2 \, a b e^{2} n r^{2}\right)} \log\left(x\right)\right)} x^{2 \, r} + 24 \, {\left(b^{2} d e n^{2} r^{2} \log\left(x\right)^{2} + b^{2} d e r^{2} \log\left(c\right)^{2} + 2 \, b^{2} d e n^{2} - 2 \, a b d e n r + a^{2} d e r^{2} - 2 \, {\left(b^{2} d e n r - a b d e r^{2}\right)} \log\left(c\right) + 2 \, {\left(b^{2} d e n r^{2} \log\left(c\right) - b^{2} d e n^{2} r + a b d e n r^{2}\right)} \log\left(x\right)\right)} x^{r} + 12 \, {\left(b^{2} d^{2} r^{3} \log\left(c\right)^{2} + 2 \, a b d^{2} r^{3} \log\left(c\right) + a^{2} d^{2} r^{3}\right)} \log\left(x\right)}{12 \, r^{3}}"," ",0,"1/12*(4*b^2*d^2*n^2*r^3*log(x)^3 + 12*(b^2*d^2*n*r^3*log(c) + a*b*d^2*n*r^3)*log(x)^2 + 3*(2*b^2*e^2*n^2*r^2*log(x)^2 + 2*b^2*e^2*r^2*log(c)^2 + b^2*e^2*n^2 - 2*a*b*e^2*n*r + 2*a^2*e^2*r^2 - 2*(b^2*e^2*n*r - 2*a*b*e^2*r^2)*log(c) + 2*(2*b^2*e^2*n*r^2*log(c) - b^2*e^2*n^2*r + 2*a*b*e^2*n*r^2)*log(x))*x^(2*r) + 24*(b^2*d*e*n^2*r^2*log(x)^2 + b^2*d*e*r^2*log(c)^2 + 2*b^2*d*e*n^2 - 2*a*b*d*e*n*r + a^2*d*e*r^2 - 2*(b^2*d*e*n*r - a*b*d*e*r^2)*log(c) + 2*(b^2*d*e*n*r^2*log(c) - b^2*d*e*n^2*r + a*b*d*e*n*r^2)*log(x))*x^r + 12*(b^2*d^2*r^3*log(c)^2 + 2*a*b*d^2*r^3*log(c) + a^2*d^2*r^3)*log(x))/r^3","B",0
429,1,193,0,1.029294," ","integrate((d+e*x^r)*(a+b*log(c*x^n))^2/x,x, algorithm=""fricas"")","\frac{b^{2} d n^{2} r^{3} \log\left(x\right)^{3} + 3 \, {\left(b^{2} d n r^{3} \log\left(c\right) + a b d n r^{3}\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{2} e n^{2} r^{2} \log\left(x\right)^{2} + b^{2} e r^{2} \log\left(c\right)^{2} + 2 \, b^{2} e n^{2} - 2 \, a b e n r + a^{2} e r^{2} - 2 \, {\left(b^{2} e n r - a b e r^{2}\right)} \log\left(c\right) + 2 \, {\left(b^{2} e n r^{2} \log\left(c\right) - b^{2} e n^{2} r + a b e n r^{2}\right)} \log\left(x\right)\right)} x^{r} + 3 \, {\left(b^{2} d r^{3} \log\left(c\right)^{2} + 2 \, a b d r^{3} \log\left(c\right) + a^{2} d r^{3}\right)} \log\left(x\right)}{3 \, r^{3}}"," ",0,"1/3*(b^2*d*n^2*r^3*log(x)^3 + 3*(b^2*d*n*r^3*log(c) + a*b*d*n*r^3)*log(x)^2 + 3*(b^2*e*n^2*r^2*log(x)^2 + b^2*e*r^2*log(c)^2 + 2*b^2*e*n^2 - 2*a*b*e*n*r + a^2*e*r^2 - 2*(b^2*e*n*r - a*b*e*r^2)*log(c) + 2*(b^2*e*n*r^2*log(c) - b^2*e*n^2*r + a*b*e*n*r^2)*log(x))*x^r + 3*(b^2*d*r^3*log(c)^2 + 2*a*b*d*r^3*log(c) + a^2*d*r^3)*log(x))/r^3","B",0
430,1,228,0,1.049132," ","integrate((a+b*log(c*x^n))^2/x/(d+e*x^r),x, algorithm=""fricas"")","\frac{b^{2} n^{2} r^{3} \log\left(x\right)^{3} + 6 \, b^{2} n^{2} {\rm polylog}\left(3, -\frac{e x^{r}}{d}\right) + 3 \, {\left(b^{2} n r^{3} \log\left(c\right) + a b n r^{3}\right)} \log\left(x\right)^{2} - 6 \, {\left(b^{2} n^{2} r \log\left(x\right) + b^{2} n r \log\left(c\right) + a b n r\right)} {\rm Li}_2\left(-\frac{e x^{r} + d}{d} + 1\right) - 3 \, {\left(b^{2} r^{2} \log\left(c\right)^{2} + 2 \, a b r^{2} \log\left(c\right) + a^{2} r^{2}\right)} \log\left(e x^{r} + d\right) + 3 \, {\left(b^{2} r^{3} \log\left(c\right)^{2} + 2 \, a b r^{3} \log\left(c\right) + a^{2} r^{3}\right)} \log\left(x\right) - 3 \, {\left(b^{2} n^{2} r^{2} \log\left(x\right)^{2} + 2 \, {\left(b^{2} n r^{2} \log\left(c\right) + a b n r^{2}\right)} \log\left(x\right)\right)} \log\left(\frac{e x^{r} + d}{d}\right)}{3 \, d r^{3}}"," ",0,"1/3*(b^2*n^2*r^3*log(x)^3 + 6*b^2*n^2*polylog(3, -e*x^r/d) + 3*(b^2*n*r^3*log(c) + a*b*n*r^3)*log(x)^2 - 6*(b^2*n^2*r*log(x) + b^2*n*r*log(c) + a*b*n*r)*dilog(-(e*x^r + d)/d + 1) - 3*(b^2*r^2*log(c)^2 + 2*a*b*r^2*log(c) + a^2*r^2)*log(e*x^r + d) + 3*(b^2*r^3*log(c)^2 + 2*a*b*r^3*log(c) + a^2*r^3)*log(x) - 3*(b^2*n^2*r^2*log(x)^2 + 2*(b^2*n*r^2*log(c) + a*b*n*r^2)*log(x))*log((e*x^r + d)/d))/(d*r^3)","C",0
431,1,600,0,0.777576," ","integrate((a+b*log(c*x^n))^2/x/(d+e*x^r)^2,x, algorithm=""fricas"")","\frac{b^{2} d n^{2} r^{3} \log\left(x\right)^{3} + 3 \, b^{2} d r^{2} \log\left(c\right)^{2} + 6 \, a b d r^{2} \log\left(c\right) + 3 \, a^{2} d r^{2} + 3 \, {\left(b^{2} d n r^{3} \log\left(c\right) + a b d n r^{3}\right)} \log\left(x\right)^{2} + {\left(b^{2} e n^{2} r^{3} \log\left(x\right)^{3} + 3 \, {\left(b^{2} e n r^{3} \log\left(c\right) - b^{2} e n^{2} r^{2} + a b e n r^{3}\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{2} e r^{3} \log\left(c\right)^{2} - 2 \, a b e n r^{2} + a^{2} e r^{3} - 2 \, {\left(b^{2} e n r^{2} - a b e r^{3}\right)} \log\left(c\right)\right)} \log\left(x\right)\right)} x^{r} - 6 \, {\left(b^{2} d n^{2} r \log\left(x\right) + b^{2} d n r \log\left(c\right) - b^{2} d n^{2} + a b d n r + {\left(b^{2} e n^{2} r \log\left(x\right) + b^{2} e n r \log\left(c\right) - b^{2} e n^{2} + a b e n r\right)} x^{r}\right)} {\rm Li}_2\left(-\frac{e x^{r} + d}{d} + 1\right) - 3 \, {\left(b^{2} d r^{2} \log\left(c\right)^{2} - 2 \, a b d n r + a^{2} d r^{2} + {\left(b^{2} e r^{2} \log\left(c\right)^{2} - 2 \, a b e n r + a^{2} e r^{2} - 2 \, {\left(b^{2} e n r - a b e r^{2}\right)} \log\left(c\right)\right)} x^{r} - 2 \, {\left(b^{2} d n r - a b d r^{2}\right)} \log\left(c\right)\right)} \log\left(e x^{r} + d\right) + 3 \, {\left(b^{2} d r^{3} \log\left(c\right)^{2} + 2 \, a b d r^{3} \log\left(c\right) + a^{2} d r^{3}\right)} \log\left(x\right) - 3 \, {\left(b^{2} d n^{2} r^{2} \log\left(x\right)^{2} + {\left(b^{2} e n^{2} r^{2} \log\left(x\right)^{2} + 2 \, {\left(b^{2} e n r^{2} \log\left(c\right) - b^{2} e n^{2} r + a b e n r^{2}\right)} \log\left(x\right)\right)} x^{r} + 2 \, {\left(b^{2} d n r^{2} \log\left(c\right) - b^{2} d n^{2} r + a b d n r^{2}\right)} \log\left(x\right)\right)} \log\left(\frac{e x^{r} + d}{d}\right) + 6 \, {\left(b^{2} e n^{2} x^{r} + b^{2} d n^{2}\right)} {\rm polylog}\left(3, -\frac{e x^{r}}{d}\right)}{3 \, {\left(d^{2} e r^{3} x^{r} + d^{3} r^{3}\right)}}"," ",0,"1/3*(b^2*d*n^2*r^3*log(x)^3 + 3*b^2*d*r^2*log(c)^2 + 6*a*b*d*r^2*log(c) + 3*a^2*d*r^2 + 3*(b^2*d*n*r^3*log(c) + a*b*d*n*r^3)*log(x)^2 + (b^2*e*n^2*r^3*log(x)^3 + 3*(b^2*e*n*r^3*log(c) - b^2*e*n^2*r^2 + a*b*e*n*r^3)*log(x)^2 + 3*(b^2*e*r^3*log(c)^2 - 2*a*b*e*n*r^2 + a^2*e*r^3 - 2*(b^2*e*n*r^2 - a*b*e*r^3)*log(c))*log(x))*x^r - 6*(b^2*d*n^2*r*log(x) + b^2*d*n*r*log(c) - b^2*d*n^2 + a*b*d*n*r + (b^2*e*n^2*r*log(x) + b^2*e*n*r*log(c) - b^2*e*n^2 + a*b*e*n*r)*x^r)*dilog(-(e*x^r + d)/d + 1) - 3*(b^2*d*r^2*log(c)^2 - 2*a*b*d*n*r + a^2*d*r^2 + (b^2*e*r^2*log(c)^2 - 2*a*b*e*n*r + a^2*e*r^2 - 2*(b^2*e*n*r - a*b*e*r^2)*log(c))*x^r - 2*(b^2*d*n*r - a*b*d*r^2)*log(c))*log(e*x^r + d) + 3*(b^2*d*r^3*log(c)^2 + 2*a*b*d*r^3*log(c) + a^2*d*r^3)*log(x) - 3*(b^2*d*n^2*r^2*log(x)^2 + (b^2*e*n^2*r^2*log(x)^2 + 2*(b^2*e*n*r^2*log(c) - b^2*e*n^2*r + a*b*e*n*r^2)*log(x))*x^r + 2*(b^2*d*n*r^2*log(c) - b^2*d*n^2*r + a*b*d*n*r^2)*log(x))*log((e*x^r + d)/d) + 6*(b^2*e*n^2*x^r + b^2*d*n^2)*polylog(3, -e*x^r/d))/(d^2*e*r^3*x^r + d^3*r^3)","C",0
432,1,1165,0,1.141555," ","integrate((a+b*log(c*x^n))^2/x/(d+e*x^r)^3,x, algorithm=""fricas"")","\frac{2 \, b^{2} d^{2} n^{2} r^{3} \log\left(x\right)^{3} + 9 \, b^{2} d^{2} r^{2} \log\left(c\right)^{2} - 6 \, a b d^{2} n r + 9 \, a^{2} d^{2} r^{2} + 6 \, {\left(b^{2} d^{2} n r^{3} \log\left(c\right) + a b d^{2} n r^{3}\right)} \log\left(x\right)^{2} + {\left(2 \, b^{2} e^{2} n^{2} r^{3} \log\left(x\right)^{3} + 3 \, {\left(2 \, b^{2} e^{2} n r^{3} \log\left(c\right) - 3 \, b^{2} e^{2} n^{2} r^{2} + 2 \, a b e^{2} n r^{3}\right)} \log\left(x\right)^{2} + 6 \, {\left(b^{2} e^{2} r^{3} \log\left(c\right)^{2} + b^{2} e^{2} n^{2} r - 3 \, a b e^{2} n r^{2} + a^{2} e^{2} r^{3} - {\left(3 \, b^{2} e^{2} n r^{2} - 2 \, a b e^{2} r^{3}\right)} \log\left(c\right)\right)} \log\left(x\right)\right)} x^{2 \, r} + 2 \, {\left(2 \, b^{2} d e n^{2} r^{3} \log\left(x\right)^{3} + 3 \, b^{2} d e r^{2} \log\left(c\right)^{2} - 3 \, a b d e n r + 3 \, a^{2} d e r^{2} + 6 \, {\left(b^{2} d e n r^{3} \log\left(c\right) - b^{2} d e n^{2} r^{2} + a b d e n r^{3}\right)} \log\left(x\right)^{2} - 3 \, {\left(b^{2} d e n r - 2 \, a b d e r^{2}\right)} \log\left(c\right) + 3 \, {\left(2 \, b^{2} d e r^{3} \log\left(c\right)^{2} + b^{2} d e n^{2} r - 4 \, a b d e n r^{2} + 2 \, a^{2} d e r^{3} - 4 \, {\left(b^{2} d e n r^{2} - a b d e r^{3}\right)} \log\left(c\right)\right)} \log\left(x\right)\right)} x^{r} - 6 \, {\left(2 \, b^{2} d^{2} n^{2} r \log\left(x\right) + 2 \, b^{2} d^{2} n r \log\left(c\right) - 3 \, b^{2} d^{2} n^{2} + 2 \, a b d^{2} n r + {\left(2 \, b^{2} e^{2} n^{2} r \log\left(x\right) + 2 \, b^{2} e^{2} n r \log\left(c\right) - 3 \, b^{2} e^{2} n^{2} + 2 \, a b e^{2} n r\right)} x^{2 \, r} + 2 \, {\left(2 \, b^{2} d e n^{2} r \log\left(x\right) + 2 \, b^{2} d e n r \log\left(c\right) - 3 \, b^{2} d e n^{2} + 2 \, a b d e n r\right)} x^{r}\right)} {\rm Li}_2\left(-\frac{e x^{r} + d}{d} + 1\right) - 6 \, {\left(b^{2} d^{2} r^{2} \log\left(c\right)^{2} + b^{2} d^{2} n^{2} - 3 \, a b d^{2} n r + a^{2} d^{2} r^{2} + {\left(b^{2} e^{2} r^{2} \log\left(c\right)^{2} + b^{2} e^{2} n^{2} - 3 \, a b e^{2} n r + a^{2} e^{2} r^{2} - {\left(3 \, b^{2} e^{2} n r - 2 \, a b e^{2} r^{2}\right)} \log\left(c\right)\right)} x^{2 \, r} + 2 \, {\left(b^{2} d e r^{2} \log\left(c\right)^{2} + b^{2} d e n^{2} - 3 \, a b d e n r + a^{2} d e r^{2} - {\left(3 \, b^{2} d e n r - 2 \, a b d e r^{2}\right)} \log\left(c\right)\right)} x^{r} - {\left(3 \, b^{2} d^{2} n r - 2 \, a b d^{2} r^{2}\right)} \log\left(c\right)\right)} \log\left(e x^{r} + d\right) - 6 \, {\left(b^{2} d^{2} n r - 3 \, a b d^{2} r^{2}\right)} \log\left(c\right) + 6 \, {\left(b^{2} d^{2} r^{3} \log\left(c\right)^{2} + 2 \, a b d^{2} r^{3} \log\left(c\right) + a^{2} d^{2} r^{3}\right)} \log\left(x\right) - 6 \, {\left(b^{2} d^{2} n^{2} r^{2} \log\left(x\right)^{2} + {\left(b^{2} e^{2} n^{2} r^{2} \log\left(x\right)^{2} + {\left(2 \, b^{2} e^{2} n r^{2} \log\left(c\right) - 3 \, b^{2} e^{2} n^{2} r + 2 \, a b e^{2} n r^{2}\right)} \log\left(x\right)\right)} x^{2 \, r} + 2 \, {\left(b^{2} d e n^{2} r^{2} \log\left(x\right)^{2} + {\left(2 \, b^{2} d e n r^{2} \log\left(c\right) - 3 \, b^{2} d e n^{2} r + 2 \, a b d e n r^{2}\right)} \log\left(x\right)\right)} x^{r} + {\left(2 \, b^{2} d^{2} n r^{2} \log\left(c\right) - 3 \, b^{2} d^{2} n^{2} r + 2 \, a b d^{2} n r^{2}\right)} \log\left(x\right)\right)} \log\left(\frac{e x^{r} + d}{d}\right) + 12 \, {\left(b^{2} e^{2} n^{2} x^{2 \, r} + 2 \, b^{2} d e n^{2} x^{r} + b^{2} d^{2} n^{2}\right)} {\rm polylog}\left(3, -\frac{e x^{r}}{d}\right)}{6 \, {\left(d^{3} e^{2} r^{3} x^{2 \, r} + 2 \, d^{4} e r^{3} x^{r} + d^{5} r^{3}\right)}}"," ",0,"1/6*(2*b^2*d^2*n^2*r^3*log(x)^3 + 9*b^2*d^2*r^2*log(c)^2 - 6*a*b*d^2*n*r + 9*a^2*d^2*r^2 + 6*(b^2*d^2*n*r^3*log(c) + a*b*d^2*n*r^3)*log(x)^2 + (2*b^2*e^2*n^2*r^3*log(x)^3 + 3*(2*b^2*e^2*n*r^3*log(c) - 3*b^2*e^2*n^2*r^2 + 2*a*b*e^2*n*r^3)*log(x)^2 + 6*(b^2*e^2*r^3*log(c)^2 + b^2*e^2*n^2*r - 3*a*b*e^2*n*r^2 + a^2*e^2*r^3 - (3*b^2*e^2*n*r^2 - 2*a*b*e^2*r^3)*log(c))*log(x))*x^(2*r) + 2*(2*b^2*d*e*n^2*r^3*log(x)^3 + 3*b^2*d*e*r^2*log(c)^2 - 3*a*b*d*e*n*r + 3*a^2*d*e*r^2 + 6*(b^2*d*e*n*r^3*log(c) - b^2*d*e*n^2*r^2 + a*b*d*e*n*r^3)*log(x)^2 - 3*(b^2*d*e*n*r - 2*a*b*d*e*r^2)*log(c) + 3*(2*b^2*d*e*r^3*log(c)^2 + b^2*d*e*n^2*r - 4*a*b*d*e*n*r^2 + 2*a^2*d*e*r^3 - 4*(b^2*d*e*n*r^2 - a*b*d*e*r^3)*log(c))*log(x))*x^r - 6*(2*b^2*d^2*n^2*r*log(x) + 2*b^2*d^2*n*r*log(c) - 3*b^2*d^2*n^2 + 2*a*b*d^2*n*r + (2*b^2*e^2*n^2*r*log(x) + 2*b^2*e^2*n*r*log(c) - 3*b^2*e^2*n^2 + 2*a*b*e^2*n*r)*x^(2*r) + 2*(2*b^2*d*e*n^2*r*log(x) + 2*b^2*d*e*n*r*log(c) - 3*b^2*d*e*n^2 + 2*a*b*d*e*n*r)*x^r)*dilog(-(e*x^r + d)/d + 1) - 6*(b^2*d^2*r^2*log(c)^2 + b^2*d^2*n^2 - 3*a*b*d^2*n*r + a^2*d^2*r^2 + (b^2*e^2*r^2*log(c)^2 + b^2*e^2*n^2 - 3*a*b*e^2*n*r + a^2*e^2*r^2 - (3*b^2*e^2*n*r - 2*a*b*e^2*r^2)*log(c))*x^(2*r) + 2*(b^2*d*e*r^2*log(c)^2 + b^2*d*e*n^2 - 3*a*b*d*e*n*r + a^2*d*e*r^2 - (3*b^2*d*e*n*r - 2*a*b*d*e*r^2)*log(c))*x^r - (3*b^2*d^2*n*r - 2*a*b*d^2*r^2)*log(c))*log(e*x^r + d) - 6*(b^2*d^2*n*r - 3*a*b*d^2*r^2)*log(c) + 6*(b^2*d^2*r^3*log(c)^2 + 2*a*b*d^2*r^3*log(c) + a^2*d^2*r^3)*log(x) - 6*(b^2*d^2*n^2*r^2*log(x)^2 + (b^2*e^2*n^2*r^2*log(x)^2 + (2*b^2*e^2*n*r^2*log(c) - 3*b^2*e^2*n^2*r + 2*a*b*e^2*n*r^2)*log(x))*x^(2*r) + 2*(b^2*d*e*n^2*r^2*log(x)^2 + (2*b^2*d*e*n*r^2*log(c) - 3*b^2*d*e*n^2*r + 2*a*b*d*e*n*r^2)*log(x))*x^r + (2*b^2*d^2*n*r^2*log(c) - 3*b^2*d^2*n^2*r + 2*a*b*d^2*n*r^2)*log(x))*log((e*x^r + d)/d) + 12*(b^2*e^2*n^2*x^(2*r) + 2*b^2*d*e*n^2*x^r + b^2*d^2*n^2)*polylog(3, -e*x^r/d))/(d^3*e^2*r^3*x^(2*r) + 2*d^4*e*r^3*x^r + d^5*r^3)","C",0
433,-2,0,0,0.000000," ","integrate((d+e*x^r)^(5/2)*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
434,-2,0,0,0.000000," ","integrate((d+e*x^r)^(3/2)*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
435,-2,0,0,0.000000," ","integrate((d+e*x^r)^(1/2)*(a+b*log(c*x^n))/x,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
436,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
437,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
438,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
439,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
440,1,4918,0,1.401574," ","integrate((f*x)^m*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left({\left(b e^{3} m^{7} + 7 \, b e^{3} m^{6} + 21 \, b e^{3} m^{5} + 35 \, b e^{3} m^{4} + 35 \, b e^{3} m^{3} + 21 \, b e^{3} m^{2} + 12 \, {\left(b e^{3} m^{2} + 2 \, b e^{3} m + b e^{3}\right)} r^{5} + 7 \, b e^{3} m + 40 \, {\left(b e^{3} m^{3} + 3 \, b e^{3} m^{2} + 3 \, b e^{3} m + b e^{3}\right)} r^{4} + b e^{3} + 51 \, {\left(b e^{3} m^{4} + 4 \, b e^{3} m^{3} + 6 \, b e^{3} m^{2} + 4 \, b e^{3} m + b e^{3}\right)} r^{3} + 31 \, {\left(b e^{3} m^{5} + 5 \, b e^{3} m^{4} + 10 \, b e^{3} m^{3} + 10 \, b e^{3} m^{2} + 5 \, b e^{3} m + b e^{3}\right)} r^{2} + 9 \, {\left(b e^{3} m^{6} + 6 \, b e^{3} m^{5} + 15 \, b e^{3} m^{4} + 20 \, b e^{3} m^{3} + 15 \, b e^{3} m^{2} + 6 \, b e^{3} m + b e^{3}\right)} r\right)} x \log\left(c\right) + {\left(12 \, {\left(b e^{3} m^{2} + 2 \, b e^{3} m + b e^{3}\right)} n r^{5} + 40 \, {\left(b e^{3} m^{3} + 3 \, b e^{3} m^{2} + 3 \, b e^{3} m + b e^{3}\right)} n r^{4} + 51 \, {\left(b e^{3} m^{4} + 4 \, b e^{3} m^{3} + 6 \, b e^{3} m^{2} + 4 \, b e^{3} m + b e^{3}\right)} n r^{3} + 31 \, {\left(b e^{3} m^{5} + 5 \, b e^{3} m^{4} + 10 \, b e^{3} m^{3} + 10 \, b e^{3} m^{2} + 5 \, b e^{3} m + b e^{3}\right)} n r^{2} + 9 \, {\left(b e^{3} m^{6} + 6 \, b e^{3} m^{5} + 15 \, b e^{3} m^{4} + 20 \, b e^{3} m^{3} + 15 \, b e^{3} m^{2} + 6 \, b e^{3} m + b e^{3}\right)} n r + {\left(b e^{3} m^{7} + 7 \, b e^{3} m^{6} + 21 \, b e^{3} m^{5} + 35 \, b e^{3} m^{4} + 35 \, b e^{3} m^{3} + 21 \, b e^{3} m^{2} + 7 \, b e^{3} m + b e^{3}\right)} n\right)} x \log\left(x\right) + {\left(a e^{3} m^{7} + 7 \, a e^{3} m^{6} + 21 \, a e^{3} m^{5} + 35 \, a e^{3} m^{4} + 35 \, a e^{3} m^{3} + 21 \, a e^{3} m^{2} + 12 \, {\left(a e^{3} m^{2} + 2 \, a e^{3} m + a e^{3}\right)} r^{5} + 7 \, a e^{3} m + 4 \, {\left(10 \, a e^{3} m^{3} + 30 \, a e^{3} m^{2} + 30 \, a e^{3} m + 10 \, a e^{3} - {\left(b e^{3} m^{2} + 2 \, b e^{3} m + b e^{3}\right)} n\right)} r^{4} + a e^{3} + 3 \, {\left(17 \, a e^{3} m^{4} + 68 \, a e^{3} m^{3} + 102 \, a e^{3} m^{2} + 68 \, a e^{3} m + 17 \, a e^{3} - 4 \, {\left(b e^{3} m^{3} + 3 \, b e^{3} m^{2} + 3 \, b e^{3} m + b e^{3}\right)} n\right)} r^{3} + {\left(31 \, a e^{3} m^{5} + 155 \, a e^{3} m^{4} + 310 \, a e^{3} m^{3} + 310 \, a e^{3} m^{2} + 155 \, a e^{3} m + 31 \, a e^{3} - 13 \, {\left(b e^{3} m^{4} + 4 \, b e^{3} m^{3} + 6 \, b e^{3} m^{2} + 4 \, b e^{3} m + b e^{3}\right)} n\right)} r^{2} - {\left(b e^{3} m^{6} + 6 \, b e^{3} m^{5} + 15 \, b e^{3} m^{4} + 20 \, b e^{3} m^{3} + 15 \, b e^{3} m^{2} + 6 \, b e^{3} m + b e^{3}\right)} n + 3 \, {\left(3 \, a e^{3} m^{6} + 18 \, a e^{3} m^{5} + 45 \, a e^{3} m^{4} + 60 \, a e^{3} m^{3} + 45 \, a e^{3} m^{2} + 18 \, a e^{3} m + 3 \, a e^{3} - 2 \, {\left(b e^{3} m^{5} + 5 \, b e^{3} m^{4} + 10 \, b e^{3} m^{3} + 10 \, b e^{3} m^{2} + 5 \, b e^{3} m + b e^{3}\right)} n\right)} r\right)} x\right)} x^{3 \, r} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)} + 3 \, {\left({\left(b d e^{2} m^{7} + 7 \, b d e^{2} m^{6} + 21 \, b d e^{2} m^{5} + 35 \, b d e^{2} m^{4} + 35 \, b d e^{2} m^{3} + 21 \, b d e^{2} m^{2} + 18 \, {\left(b d e^{2} m^{2} + 2 \, b d e^{2} m + b d e^{2}\right)} r^{5} + 7 \, b d e^{2} m + 57 \, {\left(b d e^{2} m^{3} + 3 \, b d e^{2} m^{2} + 3 \, b d e^{2} m + b d e^{2}\right)} r^{4} + b d e^{2} + 68 \, {\left(b d e^{2} m^{4} + 4 \, b d e^{2} m^{3} + 6 \, b d e^{2} m^{2} + 4 \, b d e^{2} m + b d e^{2}\right)} r^{3} + 38 \, {\left(b d e^{2} m^{5} + 5 \, b d e^{2} m^{4} + 10 \, b d e^{2} m^{3} + 10 \, b d e^{2} m^{2} + 5 \, b d e^{2} m + b d e^{2}\right)} r^{2} + 10 \, {\left(b d e^{2} m^{6} + 6 \, b d e^{2} m^{5} + 15 \, b d e^{2} m^{4} + 20 \, b d e^{2} m^{3} + 15 \, b d e^{2} m^{2} + 6 \, b d e^{2} m + b d e^{2}\right)} r\right)} x \log\left(c\right) + {\left(18 \, {\left(b d e^{2} m^{2} + 2 \, b d e^{2} m + b d e^{2}\right)} n r^{5} + 57 \, {\left(b d e^{2} m^{3} + 3 \, b d e^{2} m^{2} + 3 \, b d e^{2} m + b d e^{2}\right)} n r^{4} + 68 \, {\left(b d e^{2} m^{4} + 4 \, b d e^{2} m^{3} + 6 \, b d e^{2} m^{2} + 4 \, b d e^{2} m + b d e^{2}\right)} n r^{3} + 38 \, {\left(b d e^{2} m^{5} + 5 \, b d e^{2} m^{4} + 10 \, b d e^{2} m^{3} + 10 \, b d e^{2} m^{2} + 5 \, b d e^{2} m + b d e^{2}\right)} n r^{2} + 10 \, {\left(b d e^{2} m^{6} + 6 \, b d e^{2} m^{5} + 15 \, b d e^{2} m^{4} + 20 \, b d e^{2} m^{3} + 15 \, b d e^{2} m^{2} + 6 \, b d e^{2} m + b d e^{2}\right)} n r + {\left(b d e^{2} m^{7} + 7 \, b d e^{2} m^{6} + 21 \, b d e^{2} m^{5} + 35 \, b d e^{2} m^{4} + 35 \, b d e^{2} m^{3} + 21 \, b d e^{2} m^{2} + 7 \, b d e^{2} m + b d e^{2}\right)} n\right)} x \log\left(x\right) + {\left(a d e^{2} m^{7} + 7 \, a d e^{2} m^{6} + 21 \, a d e^{2} m^{5} + 35 \, a d e^{2} m^{4} + 35 \, a d e^{2} m^{3} + 21 \, a d e^{2} m^{2} + 18 \, {\left(a d e^{2} m^{2} + 2 \, a d e^{2} m + a d e^{2}\right)} r^{5} + 7 \, a d e^{2} m + 3 \, {\left(19 \, a d e^{2} m^{3} + 57 \, a d e^{2} m^{2} + 57 \, a d e^{2} m + 19 \, a d e^{2} - 3 \, {\left(b d e^{2} m^{2} + 2 \, b d e^{2} m + b d e^{2}\right)} n\right)} r^{4} + a d e^{2} + 4 \, {\left(17 \, a d e^{2} m^{4} + 68 \, a d e^{2} m^{3} + 102 \, a d e^{2} m^{2} + 68 \, a d e^{2} m + 17 \, a d e^{2} - 6 \, {\left(b d e^{2} m^{3} + 3 \, b d e^{2} m^{2} + 3 \, b d e^{2} m + b d e^{2}\right)} n\right)} r^{3} + 2 \, {\left(19 \, a d e^{2} m^{5} + 95 \, a d e^{2} m^{4} + 190 \, a d e^{2} m^{3} + 190 \, a d e^{2} m^{2} + 95 \, a d e^{2} m + 19 \, a d e^{2} - 11 \, {\left(b d e^{2} m^{4} + 4 \, b d e^{2} m^{3} + 6 \, b d e^{2} m^{2} + 4 \, b d e^{2} m + b d e^{2}\right)} n\right)} r^{2} - {\left(b d e^{2} m^{6} + 6 \, b d e^{2} m^{5} + 15 \, b d e^{2} m^{4} + 20 \, b d e^{2} m^{3} + 15 \, b d e^{2} m^{2} + 6 \, b d e^{2} m + b d e^{2}\right)} n + 2 \, {\left(5 \, a d e^{2} m^{6} + 30 \, a d e^{2} m^{5} + 75 \, a d e^{2} m^{4} + 100 \, a d e^{2} m^{3} + 75 \, a d e^{2} m^{2} + 30 \, a d e^{2} m + 5 \, a d e^{2} - 4 \, {\left(b d e^{2} m^{5} + 5 \, b d e^{2} m^{4} + 10 \, b d e^{2} m^{3} + 10 \, b d e^{2} m^{2} + 5 \, b d e^{2} m + b d e^{2}\right)} n\right)} r\right)} x\right)} x^{2 \, r} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)} + 3 \, {\left({\left(b d^{2} e m^{7} + 7 \, b d^{2} e m^{6} + 21 \, b d^{2} e m^{5} + 35 \, b d^{2} e m^{4} + 35 \, b d^{2} e m^{3} + 21 \, b d^{2} e m^{2} + 36 \, {\left(b d^{2} e m^{2} + 2 \, b d^{2} e m + b d^{2} e\right)} r^{5} + 7 \, b d^{2} e m + 96 \, {\left(b d^{2} e m^{3} + 3 \, b d^{2} e m^{2} + 3 \, b d^{2} e m + b d^{2} e\right)} r^{4} + b d^{2} e + 97 \, {\left(b d^{2} e m^{4} + 4 \, b d^{2} e m^{3} + 6 \, b d^{2} e m^{2} + 4 \, b d^{2} e m + b d^{2} e\right)} r^{3} + 47 \, {\left(b d^{2} e m^{5} + 5 \, b d^{2} e m^{4} + 10 \, b d^{2} e m^{3} + 10 \, b d^{2} e m^{2} + 5 \, b d^{2} e m + b d^{2} e\right)} r^{2} + 11 \, {\left(b d^{2} e m^{6} + 6 \, b d^{2} e m^{5} + 15 \, b d^{2} e m^{4} + 20 \, b d^{2} e m^{3} + 15 \, b d^{2} e m^{2} + 6 \, b d^{2} e m + b d^{2} e\right)} r\right)} x \log\left(c\right) + {\left(36 \, {\left(b d^{2} e m^{2} + 2 \, b d^{2} e m + b d^{2} e\right)} n r^{5} + 96 \, {\left(b d^{2} e m^{3} + 3 \, b d^{2} e m^{2} + 3 \, b d^{2} e m + b d^{2} e\right)} n r^{4} + 97 \, {\left(b d^{2} e m^{4} + 4 \, b d^{2} e m^{3} + 6 \, b d^{2} e m^{2} + 4 \, b d^{2} e m + b d^{2} e\right)} n r^{3} + 47 \, {\left(b d^{2} e m^{5} + 5 \, b d^{2} e m^{4} + 10 \, b d^{2} e m^{3} + 10 \, b d^{2} e m^{2} + 5 \, b d^{2} e m + b d^{2} e\right)} n r^{2} + 11 \, {\left(b d^{2} e m^{6} + 6 \, b d^{2} e m^{5} + 15 \, b d^{2} e m^{4} + 20 \, b d^{2} e m^{3} + 15 \, b d^{2} e m^{2} + 6 \, b d^{2} e m + b d^{2} e\right)} n r + {\left(b d^{2} e m^{7} + 7 \, b d^{2} e m^{6} + 21 \, b d^{2} e m^{5} + 35 \, b d^{2} e m^{4} + 35 \, b d^{2} e m^{3} + 21 \, b d^{2} e m^{2} + 7 \, b d^{2} e m + b d^{2} e\right)} n\right)} x \log\left(x\right) + {\left(a d^{2} e m^{7} + 7 \, a d^{2} e m^{6} + 21 \, a d^{2} e m^{5} + 35 \, a d^{2} e m^{4} + 35 \, a d^{2} e m^{3} + 21 \, a d^{2} e m^{2} + 36 \, {\left(a d^{2} e m^{2} + 2 \, a d^{2} e m + a d^{2} e\right)} r^{5} + 7 \, a d^{2} e m + 12 \, {\left(8 \, a d^{2} e m^{3} + 24 \, a d^{2} e m^{2} + 24 \, a d^{2} e m + 8 \, a d^{2} e - 3 \, {\left(b d^{2} e m^{2} + 2 \, b d^{2} e m + b d^{2} e\right)} n\right)} r^{4} + a d^{2} e + {\left(97 \, a d^{2} e m^{4} + 388 \, a d^{2} e m^{3} + 582 \, a d^{2} e m^{2} + 388 \, a d^{2} e m + 97 \, a d^{2} e - 60 \, {\left(b d^{2} e m^{3} + 3 \, b d^{2} e m^{2} + 3 \, b d^{2} e m + b d^{2} e\right)} n\right)} r^{3} + {\left(47 \, a d^{2} e m^{5} + 235 \, a d^{2} e m^{4} + 470 \, a d^{2} e m^{3} + 470 \, a d^{2} e m^{2} + 235 \, a d^{2} e m + 47 \, a d^{2} e - 37 \, {\left(b d^{2} e m^{4} + 4 \, b d^{2} e m^{3} + 6 \, b d^{2} e m^{2} + 4 \, b d^{2} e m + b d^{2} e\right)} n\right)} r^{2} - {\left(b d^{2} e m^{6} + 6 \, b d^{2} e m^{5} + 15 \, b d^{2} e m^{4} + 20 \, b d^{2} e m^{3} + 15 \, b d^{2} e m^{2} + 6 \, b d^{2} e m + b d^{2} e\right)} n + {\left(11 \, a d^{2} e m^{6} + 66 \, a d^{2} e m^{5} + 165 \, a d^{2} e m^{4} + 220 \, a d^{2} e m^{3} + 165 \, a d^{2} e m^{2} + 66 \, a d^{2} e m + 11 \, a d^{2} e - 10 \, {\left(b d^{2} e m^{5} + 5 \, b d^{2} e m^{4} + 10 \, b d^{2} e m^{3} + 10 \, b d^{2} e m^{2} + 5 \, b d^{2} e m + b d^{2} e\right)} n\right)} r\right)} x\right)} x^{r} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)} + {\left({\left(b d^{3} m^{7} + 7 \, b d^{3} m^{6} + 21 \, b d^{3} m^{5} + 35 \, b d^{3} m^{4} + 35 \, b d^{3} m^{3} + 36 \, {\left(b d^{3} m + b d^{3}\right)} r^{6} + 21 \, b d^{3} m^{2} + 132 \, {\left(b d^{3} m^{2} + 2 \, b d^{3} m + b d^{3}\right)} r^{5} + 7 \, b d^{3} m + 193 \, {\left(b d^{3} m^{3} + 3 \, b d^{3} m^{2} + 3 \, b d^{3} m + b d^{3}\right)} r^{4} + b d^{3} + 144 \, {\left(b d^{3} m^{4} + 4 \, b d^{3} m^{3} + 6 \, b d^{3} m^{2} + 4 \, b d^{3} m + b d^{3}\right)} r^{3} + 58 \, {\left(b d^{3} m^{5} + 5 \, b d^{3} m^{4} + 10 \, b d^{3} m^{3} + 10 \, b d^{3} m^{2} + 5 \, b d^{3} m + b d^{3}\right)} r^{2} + 12 \, {\left(b d^{3} m^{6} + 6 \, b d^{3} m^{5} + 15 \, b d^{3} m^{4} + 20 \, b d^{3} m^{3} + 15 \, b d^{3} m^{2} + 6 \, b d^{3} m + b d^{3}\right)} r\right)} x \log\left(c\right) + {\left(36 \, {\left(b d^{3} m + b d^{3}\right)} n r^{6} + 132 \, {\left(b d^{3} m^{2} + 2 \, b d^{3} m + b d^{3}\right)} n r^{5} + 193 \, {\left(b d^{3} m^{3} + 3 \, b d^{3} m^{2} + 3 \, b d^{3} m + b d^{3}\right)} n r^{4} + 144 \, {\left(b d^{3} m^{4} + 4 \, b d^{3} m^{3} + 6 \, b d^{3} m^{2} + 4 \, b d^{3} m + b d^{3}\right)} n r^{3} + 58 \, {\left(b d^{3} m^{5} + 5 \, b d^{3} m^{4} + 10 \, b d^{3} m^{3} + 10 \, b d^{3} m^{2} + 5 \, b d^{3} m + b d^{3}\right)} n r^{2} + 12 \, {\left(b d^{3} m^{6} + 6 \, b d^{3} m^{5} + 15 \, b d^{3} m^{4} + 20 \, b d^{3} m^{3} + 15 \, b d^{3} m^{2} + 6 \, b d^{3} m + b d^{3}\right)} n r + {\left(b d^{3} m^{7} + 7 \, b d^{3} m^{6} + 21 \, b d^{3} m^{5} + 35 \, b d^{3} m^{4} + 35 \, b d^{3} m^{3} + 21 \, b d^{3} m^{2} + 7 \, b d^{3} m + b d^{3}\right)} n\right)} x \log\left(x\right) + {\left(a d^{3} m^{7} + 7 \, a d^{3} m^{6} + 21 \, a d^{3} m^{5} + 35 \, a d^{3} m^{4} + 35 \, a d^{3} m^{3} + 36 \, {\left(a d^{3} m - b d^{3} n + a d^{3}\right)} r^{6} + 21 \, a d^{3} m^{2} + 132 \, {\left(a d^{3} m^{2} + 2 \, a d^{3} m + a d^{3} - {\left(b d^{3} m + b d^{3}\right)} n\right)} r^{5} + 7 \, a d^{3} m + 193 \, {\left(a d^{3} m^{3} + 3 \, a d^{3} m^{2} + 3 \, a d^{3} m + a d^{3} - {\left(b d^{3} m^{2} + 2 \, b d^{3} m + b d^{3}\right)} n\right)} r^{4} + a d^{3} + 144 \, {\left(a d^{3} m^{4} + 4 \, a d^{3} m^{3} + 6 \, a d^{3} m^{2} + 4 \, a d^{3} m + a d^{3} - {\left(b d^{3} m^{3} + 3 \, b d^{3} m^{2} + 3 \, b d^{3} m + b d^{3}\right)} n\right)} r^{3} + 58 \, {\left(a d^{3} m^{5} + 5 \, a d^{3} m^{4} + 10 \, a d^{3} m^{3} + 10 \, a d^{3} m^{2} + 5 \, a d^{3} m + a d^{3} - {\left(b d^{3} m^{4} + 4 \, b d^{3} m^{3} + 6 \, b d^{3} m^{2} + 4 \, b d^{3} m + b d^{3}\right)} n\right)} r^{2} - {\left(b d^{3} m^{6} + 6 \, b d^{3} m^{5} + 15 \, b d^{3} m^{4} + 20 \, b d^{3} m^{3} + 15 \, b d^{3} m^{2} + 6 \, b d^{3} m + b d^{3}\right)} n + 12 \, {\left(a d^{3} m^{6} + 6 \, a d^{3} m^{5} + 15 \, a d^{3} m^{4} + 20 \, a d^{3} m^{3} + 15 \, a d^{3} m^{2} + 6 \, a d^{3} m + a d^{3} - {\left(b d^{3} m^{5} + 5 \, b d^{3} m^{4} + 10 \, b d^{3} m^{3} + 10 \, b d^{3} m^{2} + 5 \, b d^{3} m + b d^{3}\right)} n\right)} r\right)} x\right)} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)}}{m^{8} + 8 \, m^{7} + 36 \, {\left(m^{2} + 2 \, m + 1\right)} r^{6} + 28 \, m^{6} + 132 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} r^{5} + 56 \, m^{5} + 193 \, {\left(m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} r^{4} + 70 \, m^{4} + 144 \, {\left(m^{5} + 5 \, m^{4} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} r^{3} + 56 \, m^{3} + 58 \, {\left(m^{6} + 6 \, m^{5} + 15 \, m^{4} + 20 \, m^{3} + 15 \, m^{2} + 6 \, m + 1\right)} r^{2} + 28 \, m^{2} + 12 \, {\left(m^{7} + 7 \, m^{6} + 21 \, m^{5} + 35 \, m^{4} + 35 \, m^{3} + 21 \, m^{2} + 7 \, m + 1\right)} r + 8 \, m + 1}"," ",0,"(((b*e^3*m^7 + 7*b*e^3*m^6 + 21*b*e^3*m^5 + 35*b*e^3*m^4 + 35*b*e^3*m^3 + 21*b*e^3*m^2 + 12*(b*e^3*m^2 + 2*b*e^3*m + b*e^3)*r^5 + 7*b*e^3*m + 40*(b*e^3*m^3 + 3*b*e^3*m^2 + 3*b*e^3*m + b*e^3)*r^4 + b*e^3 + 51*(b*e^3*m^4 + 4*b*e^3*m^3 + 6*b*e^3*m^2 + 4*b*e^3*m + b*e^3)*r^3 + 31*(b*e^3*m^5 + 5*b*e^3*m^4 + 10*b*e^3*m^3 + 10*b*e^3*m^2 + 5*b*e^3*m + b*e^3)*r^2 + 9*(b*e^3*m^6 + 6*b*e^3*m^5 + 15*b*e^3*m^4 + 20*b*e^3*m^3 + 15*b*e^3*m^2 + 6*b*e^3*m + b*e^3)*r)*x*log(c) + (12*(b*e^3*m^2 + 2*b*e^3*m + b*e^3)*n*r^5 + 40*(b*e^3*m^3 + 3*b*e^3*m^2 + 3*b*e^3*m + b*e^3)*n*r^4 + 51*(b*e^3*m^4 + 4*b*e^3*m^3 + 6*b*e^3*m^2 + 4*b*e^3*m + b*e^3)*n*r^3 + 31*(b*e^3*m^5 + 5*b*e^3*m^4 + 10*b*e^3*m^3 + 10*b*e^3*m^2 + 5*b*e^3*m + b*e^3)*n*r^2 + 9*(b*e^3*m^6 + 6*b*e^3*m^5 + 15*b*e^3*m^4 + 20*b*e^3*m^3 + 15*b*e^3*m^2 + 6*b*e^3*m + b*e^3)*n*r + (b*e^3*m^7 + 7*b*e^3*m^6 + 21*b*e^3*m^5 + 35*b*e^3*m^4 + 35*b*e^3*m^3 + 21*b*e^3*m^2 + 7*b*e^3*m + b*e^3)*n)*x*log(x) + (a*e^3*m^7 + 7*a*e^3*m^6 + 21*a*e^3*m^5 + 35*a*e^3*m^4 + 35*a*e^3*m^3 + 21*a*e^3*m^2 + 12*(a*e^3*m^2 + 2*a*e^3*m + a*e^3)*r^5 + 7*a*e^3*m + 4*(10*a*e^3*m^3 + 30*a*e^3*m^2 + 30*a*e^3*m + 10*a*e^3 - (b*e^3*m^2 + 2*b*e^3*m + b*e^3)*n)*r^4 + a*e^3 + 3*(17*a*e^3*m^4 + 68*a*e^3*m^3 + 102*a*e^3*m^2 + 68*a*e^3*m + 17*a*e^3 - 4*(b*e^3*m^3 + 3*b*e^3*m^2 + 3*b*e^3*m + b*e^3)*n)*r^3 + (31*a*e^3*m^5 + 155*a*e^3*m^4 + 310*a*e^3*m^3 + 310*a*e^3*m^2 + 155*a*e^3*m + 31*a*e^3 - 13*(b*e^3*m^4 + 4*b*e^3*m^3 + 6*b*e^3*m^2 + 4*b*e^3*m + b*e^3)*n)*r^2 - (b*e^3*m^6 + 6*b*e^3*m^5 + 15*b*e^3*m^4 + 20*b*e^3*m^3 + 15*b*e^3*m^2 + 6*b*e^3*m + b*e^3)*n + 3*(3*a*e^3*m^6 + 18*a*e^3*m^5 + 45*a*e^3*m^4 + 60*a*e^3*m^3 + 45*a*e^3*m^2 + 18*a*e^3*m + 3*a*e^3 - 2*(b*e^3*m^5 + 5*b*e^3*m^4 + 10*b*e^3*m^3 + 10*b*e^3*m^2 + 5*b*e^3*m + b*e^3)*n)*r)*x)*x^(3*r)*e^(m*log(f) + m*log(x)) + 3*((b*d*e^2*m^7 + 7*b*d*e^2*m^6 + 21*b*d*e^2*m^5 + 35*b*d*e^2*m^4 + 35*b*d*e^2*m^3 + 21*b*d*e^2*m^2 + 18*(b*d*e^2*m^2 + 2*b*d*e^2*m + b*d*e^2)*r^5 + 7*b*d*e^2*m + 57*(b*d*e^2*m^3 + 3*b*d*e^2*m^2 + 3*b*d*e^2*m + b*d*e^2)*r^4 + b*d*e^2 + 68*(b*d*e^2*m^4 + 4*b*d*e^2*m^3 + 6*b*d*e^2*m^2 + 4*b*d*e^2*m + b*d*e^2)*r^3 + 38*(b*d*e^2*m^5 + 5*b*d*e^2*m^4 + 10*b*d*e^2*m^3 + 10*b*d*e^2*m^2 + 5*b*d*e^2*m + b*d*e^2)*r^2 + 10*(b*d*e^2*m^6 + 6*b*d*e^2*m^5 + 15*b*d*e^2*m^4 + 20*b*d*e^2*m^3 + 15*b*d*e^2*m^2 + 6*b*d*e^2*m + b*d*e^2)*r)*x*log(c) + (18*(b*d*e^2*m^2 + 2*b*d*e^2*m + b*d*e^2)*n*r^5 + 57*(b*d*e^2*m^3 + 3*b*d*e^2*m^2 + 3*b*d*e^2*m + b*d*e^2)*n*r^4 + 68*(b*d*e^2*m^4 + 4*b*d*e^2*m^3 + 6*b*d*e^2*m^2 + 4*b*d*e^2*m + b*d*e^2)*n*r^3 + 38*(b*d*e^2*m^5 + 5*b*d*e^2*m^4 + 10*b*d*e^2*m^3 + 10*b*d*e^2*m^2 + 5*b*d*e^2*m + b*d*e^2)*n*r^2 + 10*(b*d*e^2*m^6 + 6*b*d*e^2*m^5 + 15*b*d*e^2*m^4 + 20*b*d*e^2*m^3 + 15*b*d*e^2*m^2 + 6*b*d*e^2*m + b*d*e^2)*n*r + (b*d*e^2*m^7 + 7*b*d*e^2*m^6 + 21*b*d*e^2*m^5 + 35*b*d*e^2*m^4 + 35*b*d*e^2*m^3 + 21*b*d*e^2*m^2 + 7*b*d*e^2*m + b*d*e^2)*n)*x*log(x) + (a*d*e^2*m^7 + 7*a*d*e^2*m^6 + 21*a*d*e^2*m^5 + 35*a*d*e^2*m^4 + 35*a*d*e^2*m^3 + 21*a*d*e^2*m^2 + 18*(a*d*e^2*m^2 + 2*a*d*e^2*m + a*d*e^2)*r^5 + 7*a*d*e^2*m + 3*(19*a*d*e^2*m^3 + 57*a*d*e^2*m^2 + 57*a*d*e^2*m + 19*a*d*e^2 - 3*(b*d*e^2*m^2 + 2*b*d*e^2*m + b*d*e^2)*n)*r^4 + a*d*e^2 + 4*(17*a*d*e^2*m^4 + 68*a*d*e^2*m^3 + 102*a*d*e^2*m^2 + 68*a*d*e^2*m + 17*a*d*e^2 - 6*(b*d*e^2*m^3 + 3*b*d*e^2*m^2 + 3*b*d*e^2*m + b*d*e^2)*n)*r^3 + 2*(19*a*d*e^2*m^5 + 95*a*d*e^2*m^4 + 190*a*d*e^2*m^3 + 190*a*d*e^2*m^2 + 95*a*d*e^2*m + 19*a*d*e^2 - 11*(b*d*e^2*m^4 + 4*b*d*e^2*m^3 + 6*b*d*e^2*m^2 + 4*b*d*e^2*m + b*d*e^2)*n)*r^2 - (b*d*e^2*m^6 + 6*b*d*e^2*m^5 + 15*b*d*e^2*m^4 + 20*b*d*e^2*m^3 + 15*b*d*e^2*m^2 + 6*b*d*e^2*m + b*d*e^2)*n + 2*(5*a*d*e^2*m^6 + 30*a*d*e^2*m^5 + 75*a*d*e^2*m^4 + 100*a*d*e^2*m^3 + 75*a*d*e^2*m^2 + 30*a*d*e^2*m + 5*a*d*e^2 - 4*(b*d*e^2*m^5 + 5*b*d*e^2*m^4 + 10*b*d*e^2*m^3 + 10*b*d*e^2*m^2 + 5*b*d*e^2*m + b*d*e^2)*n)*r)*x)*x^(2*r)*e^(m*log(f) + m*log(x)) + 3*((b*d^2*e*m^7 + 7*b*d^2*e*m^6 + 21*b*d^2*e*m^5 + 35*b*d^2*e*m^4 + 35*b*d^2*e*m^3 + 21*b*d^2*e*m^2 + 36*(b*d^2*e*m^2 + 2*b*d^2*e*m + b*d^2*e)*r^5 + 7*b*d^2*e*m + 96*(b*d^2*e*m^3 + 3*b*d^2*e*m^2 + 3*b*d^2*e*m + b*d^2*e)*r^4 + b*d^2*e + 97*(b*d^2*e*m^4 + 4*b*d^2*e*m^3 + 6*b*d^2*e*m^2 + 4*b*d^2*e*m + b*d^2*e)*r^3 + 47*(b*d^2*e*m^5 + 5*b*d^2*e*m^4 + 10*b*d^2*e*m^3 + 10*b*d^2*e*m^2 + 5*b*d^2*e*m + b*d^2*e)*r^2 + 11*(b*d^2*e*m^6 + 6*b*d^2*e*m^5 + 15*b*d^2*e*m^4 + 20*b*d^2*e*m^3 + 15*b*d^2*e*m^2 + 6*b*d^2*e*m + b*d^2*e)*r)*x*log(c) + (36*(b*d^2*e*m^2 + 2*b*d^2*e*m + b*d^2*e)*n*r^5 + 96*(b*d^2*e*m^3 + 3*b*d^2*e*m^2 + 3*b*d^2*e*m + b*d^2*e)*n*r^4 + 97*(b*d^2*e*m^4 + 4*b*d^2*e*m^3 + 6*b*d^2*e*m^2 + 4*b*d^2*e*m + b*d^2*e)*n*r^3 + 47*(b*d^2*e*m^5 + 5*b*d^2*e*m^4 + 10*b*d^2*e*m^3 + 10*b*d^2*e*m^2 + 5*b*d^2*e*m + b*d^2*e)*n*r^2 + 11*(b*d^2*e*m^6 + 6*b*d^2*e*m^5 + 15*b*d^2*e*m^4 + 20*b*d^2*e*m^3 + 15*b*d^2*e*m^2 + 6*b*d^2*e*m + b*d^2*e)*n*r + (b*d^2*e*m^7 + 7*b*d^2*e*m^6 + 21*b*d^2*e*m^5 + 35*b*d^2*e*m^4 + 35*b*d^2*e*m^3 + 21*b*d^2*e*m^2 + 7*b*d^2*e*m + b*d^2*e)*n)*x*log(x) + (a*d^2*e*m^7 + 7*a*d^2*e*m^6 + 21*a*d^2*e*m^5 + 35*a*d^2*e*m^4 + 35*a*d^2*e*m^3 + 21*a*d^2*e*m^2 + 36*(a*d^2*e*m^2 + 2*a*d^2*e*m + a*d^2*e)*r^5 + 7*a*d^2*e*m + 12*(8*a*d^2*e*m^3 + 24*a*d^2*e*m^2 + 24*a*d^2*e*m + 8*a*d^2*e - 3*(b*d^2*e*m^2 + 2*b*d^2*e*m + b*d^2*e)*n)*r^4 + a*d^2*e + (97*a*d^2*e*m^4 + 388*a*d^2*e*m^3 + 582*a*d^2*e*m^2 + 388*a*d^2*e*m + 97*a*d^2*e - 60*(b*d^2*e*m^3 + 3*b*d^2*e*m^2 + 3*b*d^2*e*m + b*d^2*e)*n)*r^3 + (47*a*d^2*e*m^5 + 235*a*d^2*e*m^4 + 470*a*d^2*e*m^3 + 470*a*d^2*e*m^2 + 235*a*d^2*e*m + 47*a*d^2*e - 37*(b*d^2*e*m^4 + 4*b*d^2*e*m^3 + 6*b*d^2*e*m^2 + 4*b*d^2*e*m + b*d^2*e)*n)*r^2 - (b*d^2*e*m^6 + 6*b*d^2*e*m^5 + 15*b*d^2*e*m^4 + 20*b*d^2*e*m^3 + 15*b*d^2*e*m^2 + 6*b*d^2*e*m + b*d^2*e)*n + (11*a*d^2*e*m^6 + 66*a*d^2*e*m^5 + 165*a*d^2*e*m^4 + 220*a*d^2*e*m^3 + 165*a*d^2*e*m^2 + 66*a*d^2*e*m + 11*a*d^2*e - 10*(b*d^2*e*m^5 + 5*b*d^2*e*m^4 + 10*b*d^2*e*m^3 + 10*b*d^2*e*m^2 + 5*b*d^2*e*m + b*d^2*e)*n)*r)*x)*x^r*e^(m*log(f) + m*log(x)) + ((b*d^3*m^7 + 7*b*d^3*m^6 + 21*b*d^3*m^5 + 35*b*d^3*m^4 + 35*b*d^3*m^3 + 36*(b*d^3*m + b*d^3)*r^6 + 21*b*d^3*m^2 + 132*(b*d^3*m^2 + 2*b*d^3*m + b*d^3)*r^5 + 7*b*d^3*m + 193*(b*d^3*m^3 + 3*b*d^3*m^2 + 3*b*d^3*m + b*d^3)*r^4 + b*d^3 + 144*(b*d^3*m^4 + 4*b*d^3*m^3 + 6*b*d^3*m^2 + 4*b*d^3*m + b*d^3)*r^3 + 58*(b*d^3*m^5 + 5*b*d^3*m^4 + 10*b*d^3*m^3 + 10*b*d^3*m^2 + 5*b*d^3*m + b*d^3)*r^2 + 12*(b*d^3*m^6 + 6*b*d^3*m^5 + 15*b*d^3*m^4 + 20*b*d^3*m^3 + 15*b*d^3*m^2 + 6*b*d^3*m + b*d^3)*r)*x*log(c) + (36*(b*d^3*m + b*d^3)*n*r^6 + 132*(b*d^3*m^2 + 2*b*d^3*m + b*d^3)*n*r^5 + 193*(b*d^3*m^3 + 3*b*d^3*m^2 + 3*b*d^3*m + b*d^3)*n*r^4 + 144*(b*d^3*m^4 + 4*b*d^3*m^3 + 6*b*d^3*m^2 + 4*b*d^3*m + b*d^3)*n*r^3 + 58*(b*d^3*m^5 + 5*b*d^3*m^4 + 10*b*d^3*m^3 + 10*b*d^3*m^2 + 5*b*d^3*m + b*d^3)*n*r^2 + 12*(b*d^3*m^6 + 6*b*d^3*m^5 + 15*b*d^3*m^4 + 20*b*d^3*m^3 + 15*b*d^3*m^2 + 6*b*d^3*m + b*d^3)*n*r + (b*d^3*m^7 + 7*b*d^3*m^6 + 21*b*d^3*m^5 + 35*b*d^3*m^4 + 35*b*d^3*m^3 + 21*b*d^3*m^2 + 7*b*d^3*m + b*d^3)*n)*x*log(x) + (a*d^3*m^7 + 7*a*d^3*m^6 + 21*a*d^3*m^5 + 35*a*d^3*m^4 + 35*a*d^3*m^3 + 36*(a*d^3*m - b*d^3*n + a*d^3)*r^6 + 21*a*d^3*m^2 + 132*(a*d^3*m^2 + 2*a*d^3*m + a*d^3 - (b*d^3*m + b*d^3)*n)*r^5 + 7*a*d^3*m + 193*(a*d^3*m^3 + 3*a*d^3*m^2 + 3*a*d^3*m + a*d^3 - (b*d^3*m^2 + 2*b*d^3*m + b*d^3)*n)*r^4 + a*d^3 + 144*(a*d^3*m^4 + 4*a*d^3*m^3 + 6*a*d^3*m^2 + 4*a*d^3*m + a*d^3 - (b*d^3*m^3 + 3*b*d^3*m^2 + 3*b*d^3*m + b*d^3)*n)*r^3 + 58*(a*d^3*m^5 + 5*a*d^3*m^4 + 10*a*d^3*m^3 + 10*a*d^3*m^2 + 5*a*d^3*m + a*d^3 - (b*d^3*m^4 + 4*b*d^3*m^3 + 6*b*d^3*m^2 + 4*b*d^3*m + b*d^3)*n)*r^2 - (b*d^3*m^6 + 6*b*d^3*m^5 + 15*b*d^3*m^4 + 20*b*d^3*m^3 + 15*b*d^3*m^2 + 6*b*d^3*m + b*d^3)*n + 12*(a*d^3*m^6 + 6*a*d^3*m^5 + 15*a*d^3*m^4 + 20*a*d^3*m^3 + 15*a*d^3*m^2 + 6*a*d^3*m + a*d^3 - (b*d^3*m^5 + 5*b*d^3*m^4 + 10*b*d^3*m^3 + 10*b*d^3*m^2 + 5*b*d^3*m + b*d^3)*n)*r)*x)*e^(m*log(f) + m*log(x)))/(m^8 + 8*m^7 + 36*(m^2 + 2*m + 1)*r^6 + 28*m^6 + 132*(m^3 + 3*m^2 + 3*m + 1)*r^5 + 56*m^5 + 193*(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)*r^4 + 70*m^4 + 144*(m^5 + 5*m^4 + 10*m^3 + 10*m^2 + 5*m + 1)*r^3 + 56*m^3 + 58*(m^6 + 6*m^5 + 15*m^4 + 20*m^3 + 15*m^2 + 6*m + 1)*r^2 + 28*m^2 + 12*(m^7 + 7*m^6 + 21*m^5 + 35*m^4 + 35*m^3 + 21*m^2 + 7*m + 1)*r + 8*m + 1)","B",0
441,1,1875,0,1.260130," ","integrate((f*x)^m*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left({\left(b e^{2} m^{5} + 5 \, b e^{2} m^{4} + 10 \, b e^{2} m^{3} + 10 \, b e^{2} m^{2} + 5 \, b e^{2} m + 2 \, {\left(b e^{2} m^{2} + 2 \, b e^{2} m + b e^{2}\right)} r^{3} + b e^{2} + 5 \, {\left(b e^{2} m^{3} + 3 \, b e^{2} m^{2} + 3 \, b e^{2} m + b e^{2}\right)} r^{2} + 4 \, {\left(b e^{2} m^{4} + 4 \, b e^{2} m^{3} + 6 \, b e^{2} m^{2} + 4 \, b e^{2} m + b e^{2}\right)} r\right)} x \log\left(c\right) + {\left(2 \, {\left(b e^{2} m^{2} + 2 \, b e^{2} m + b e^{2}\right)} n r^{3} + 5 \, {\left(b e^{2} m^{3} + 3 \, b e^{2} m^{2} + 3 \, b e^{2} m + b e^{2}\right)} n r^{2} + 4 \, {\left(b e^{2} m^{4} + 4 \, b e^{2} m^{3} + 6 \, b e^{2} m^{2} + 4 \, b e^{2} m + b e^{2}\right)} n r + {\left(b e^{2} m^{5} + 5 \, b e^{2} m^{4} + 10 \, b e^{2} m^{3} + 10 \, b e^{2} m^{2} + 5 \, b e^{2} m + b e^{2}\right)} n\right)} x \log\left(x\right) + {\left(a e^{2} m^{5} + 5 \, a e^{2} m^{4} + 10 \, a e^{2} m^{3} + 10 \, a e^{2} m^{2} + 5 \, a e^{2} m + 2 \, {\left(a e^{2} m^{2} + 2 \, a e^{2} m + a e^{2}\right)} r^{3} + a e^{2} + {\left(5 \, a e^{2} m^{3} + 15 \, a e^{2} m^{2} + 15 \, a e^{2} m + 5 \, a e^{2} - {\left(b e^{2} m^{2} + 2 \, b e^{2} m + b e^{2}\right)} n\right)} r^{2} - {\left(b e^{2} m^{4} + 4 \, b e^{2} m^{3} + 6 \, b e^{2} m^{2} + 4 \, b e^{2} m + b e^{2}\right)} n + 2 \, {\left(2 \, a e^{2} m^{4} + 8 \, a e^{2} m^{3} + 12 \, a e^{2} m^{2} + 8 \, a e^{2} m + 2 \, a e^{2} - {\left(b e^{2} m^{3} + 3 \, b e^{2} m^{2} + 3 \, b e^{2} m + b e^{2}\right)} n\right)} r\right)} x\right)} x^{2 \, r} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)} + 2 \, {\left({\left(b d e m^{5} + 5 \, b d e m^{4} + 10 \, b d e m^{3} + 10 \, b d e m^{2} + 5 \, b d e m + 4 \, {\left(b d e m^{2} + 2 \, b d e m + b d e\right)} r^{3} + b d e + 8 \, {\left(b d e m^{3} + 3 \, b d e m^{2} + 3 \, b d e m + b d e\right)} r^{2} + 5 \, {\left(b d e m^{4} + 4 \, b d e m^{3} + 6 \, b d e m^{2} + 4 \, b d e m + b d e\right)} r\right)} x \log\left(c\right) + {\left(4 \, {\left(b d e m^{2} + 2 \, b d e m + b d e\right)} n r^{3} + 8 \, {\left(b d e m^{3} + 3 \, b d e m^{2} + 3 \, b d e m + b d e\right)} n r^{2} + 5 \, {\left(b d e m^{4} + 4 \, b d e m^{3} + 6 \, b d e m^{2} + 4 \, b d e m + b d e\right)} n r + {\left(b d e m^{5} + 5 \, b d e m^{4} + 10 \, b d e m^{3} + 10 \, b d e m^{2} + 5 \, b d e m + b d e\right)} n\right)} x \log\left(x\right) + {\left(a d e m^{5} + 5 \, a d e m^{4} + 10 \, a d e m^{3} + 10 \, a d e m^{2} + 5 \, a d e m + 4 \, {\left(a d e m^{2} + 2 \, a d e m + a d e\right)} r^{3} + a d e + 4 \, {\left(2 \, a d e m^{3} + 6 \, a d e m^{2} + 6 \, a d e m + 2 \, a d e - {\left(b d e m^{2} + 2 \, b d e m + b d e\right)} n\right)} r^{2} - {\left(b d e m^{4} + 4 \, b d e m^{3} + 6 \, b d e m^{2} + 4 \, b d e m + b d e\right)} n + {\left(5 \, a d e m^{4} + 20 \, a d e m^{3} + 30 \, a d e m^{2} + 20 \, a d e m + 5 \, a d e - 4 \, {\left(b d e m^{3} + 3 \, b d e m^{2} + 3 \, b d e m + b d e\right)} n\right)} r\right)} x\right)} x^{r} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)} + {\left({\left(b d^{2} m^{5} + 5 \, b d^{2} m^{4} + 10 \, b d^{2} m^{3} + 10 \, b d^{2} m^{2} + 4 \, {\left(b d^{2} m + b d^{2}\right)} r^{4} + 5 \, b d^{2} m + 12 \, {\left(b d^{2} m^{2} + 2 \, b d^{2} m + b d^{2}\right)} r^{3} + b d^{2} + 13 \, {\left(b d^{2} m^{3} + 3 \, b d^{2} m^{2} + 3 \, b d^{2} m + b d^{2}\right)} r^{2} + 6 \, {\left(b d^{2} m^{4} + 4 \, b d^{2} m^{3} + 6 \, b d^{2} m^{2} + 4 \, b d^{2} m + b d^{2}\right)} r\right)} x \log\left(c\right) + {\left(4 \, {\left(b d^{2} m + b d^{2}\right)} n r^{4} + 12 \, {\left(b d^{2} m^{2} + 2 \, b d^{2} m + b d^{2}\right)} n r^{3} + 13 \, {\left(b d^{2} m^{3} + 3 \, b d^{2} m^{2} + 3 \, b d^{2} m + b d^{2}\right)} n r^{2} + 6 \, {\left(b d^{2} m^{4} + 4 \, b d^{2} m^{3} + 6 \, b d^{2} m^{2} + 4 \, b d^{2} m + b d^{2}\right)} n r + {\left(b d^{2} m^{5} + 5 \, b d^{2} m^{4} + 10 \, b d^{2} m^{3} + 10 \, b d^{2} m^{2} + 5 \, b d^{2} m + b d^{2}\right)} n\right)} x \log\left(x\right) + {\left(a d^{2} m^{5} + 5 \, a d^{2} m^{4} + 10 \, a d^{2} m^{3} + 10 \, a d^{2} m^{2} + 4 \, {\left(a d^{2} m - b d^{2} n + a d^{2}\right)} r^{4} + 5 \, a d^{2} m + 12 \, {\left(a d^{2} m^{2} + 2 \, a d^{2} m + a d^{2} - {\left(b d^{2} m + b d^{2}\right)} n\right)} r^{3} + a d^{2} + 13 \, {\left(a d^{2} m^{3} + 3 \, a d^{2} m^{2} + 3 \, a d^{2} m + a d^{2} - {\left(b d^{2} m^{2} + 2 \, b d^{2} m + b d^{2}\right)} n\right)} r^{2} - {\left(b d^{2} m^{4} + 4 \, b d^{2} m^{3} + 6 \, b d^{2} m^{2} + 4 \, b d^{2} m + b d^{2}\right)} n + 6 \, {\left(a d^{2} m^{4} + 4 \, a d^{2} m^{3} + 6 \, a d^{2} m^{2} + 4 \, a d^{2} m + a d^{2} - {\left(b d^{2} m^{3} + 3 \, b d^{2} m^{2} + 3 \, b d^{2} m + b d^{2}\right)} n\right)} r\right)} x\right)} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)}}{m^{6} + 6 \, m^{5} + 4 \, {\left(m^{2} + 2 \, m + 1\right)} r^{4} + 15 \, m^{4} + 12 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} r^{3} + 20 \, m^{3} + 13 \, {\left(m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} r^{2} + 15 \, m^{2} + 6 \, {\left(m^{5} + 5 \, m^{4} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} r + 6 \, m + 1}"," ",0,"(((b*e^2*m^5 + 5*b*e^2*m^4 + 10*b*e^2*m^3 + 10*b*e^2*m^2 + 5*b*e^2*m + 2*(b*e^2*m^2 + 2*b*e^2*m + b*e^2)*r^3 + b*e^2 + 5*(b*e^2*m^3 + 3*b*e^2*m^2 + 3*b*e^2*m + b*e^2)*r^2 + 4*(b*e^2*m^4 + 4*b*e^2*m^3 + 6*b*e^2*m^2 + 4*b*e^2*m + b*e^2)*r)*x*log(c) + (2*(b*e^2*m^2 + 2*b*e^2*m + b*e^2)*n*r^3 + 5*(b*e^2*m^3 + 3*b*e^2*m^2 + 3*b*e^2*m + b*e^2)*n*r^2 + 4*(b*e^2*m^4 + 4*b*e^2*m^3 + 6*b*e^2*m^2 + 4*b*e^2*m + b*e^2)*n*r + (b*e^2*m^5 + 5*b*e^2*m^4 + 10*b*e^2*m^3 + 10*b*e^2*m^2 + 5*b*e^2*m + b*e^2)*n)*x*log(x) + (a*e^2*m^5 + 5*a*e^2*m^4 + 10*a*e^2*m^3 + 10*a*e^2*m^2 + 5*a*e^2*m + 2*(a*e^2*m^2 + 2*a*e^2*m + a*e^2)*r^3 + a*e^2 + (5*a*e^2*m^3 + 15*a*e^2*m^2 + 15*a*e^2*m + 5*a*e^2 - (b*e^2*m^2 + 2*b*e^2*m + b*e^2)*n)*r^2 - (b*e^2*m^4 + 4*b*e^2*m^3 + 6*b*e^2*m^2 + 4*b*e^2*m + b*e^2)*n + 2*(2*a*e^2*m^4 + 8*a*e^2*m^3 + 12*a*e^2*m^2 + 8*a*e^2*m + 2*a*e^2 - (b*e^2*m^3 + 3*b*e^2*m^2 + 3*b*e^2*m + b*e^2)*n)*r)*x)*x^(2*r)*e^(m*log(f) + m*log(x)) + 2*((b*d*e*m^5 + 5*b*d*e*m^4 + 10*b*d*e*m^3 + 10*b*d*e*m^2 + 5*b*d*e*m + 4*(b*d*e*m^2 + 2*b*d*e*m + b*d*e)*r^3 + b*d*e + 8*(b*d*e*m^3 + 3*b*d*e*m^2 + 3*b*d*e*m + b*d*e)*r^2 + 5*(b*d*e*m^4 + 4*b*d*e*m^3 + 6*b*d*e*m^2 + 4*b*d*e*m + b*d*e)*r)*x*log(c) + (4*(b*d*e*m^2 + 2*b*d*e*m + b*d*e)*n*r^3 + 8*(b*d*e*m^3 + 3*b*d*e*m^2 + 3*b*d*e*m + b*d*e)*n*r^2 + 5*(b*d*e*m^4 + 4*b*d*e*m^3 + 6*b*d*e*m^2 + 4*b*d*e*m + b*d*e)*n*r + (b*d*e*m^5 + 5*b*d*e*m^4 + 10*b*d*e*m^3 + 10*b*d*e*m^2 + 5*b*d*e*m + b*d*e)*n)*x*log(x) + (a*d*e*m^5 + 5*a*d*e*m^4 + 10*a*d*e*m^3 + 10*a*d*e*m^2 + 5*a*d*e*m + 4*(a*d*e*m^2 + 2*a*d*e*m + a*d*e)*r^3 + a*d*e + 4*(2*a*d*e*m^3 + 6*a*d*e*m^2 + 6*a*d*e*m + 2*a*d*e - (b*d*e*m^2 + 2*b*d*e*m + b*d*e)*n)*r^2 - (b*d*e*m^4 + 4*b*d*e*m^3 + 6*b*d*e*m^2 + 4*b*d*e*m + b*d*e)*n + (5*a*d*e*m^4 + 20*a*d*e*m^3 + 30*a*d*e*m^2 + 20*a*d*e*m + 5*a*d*e - 4*(b*d*e*m^3 + 3*b*d*e*m^2 + 3*b*d*e*m + b*d*e)*n)*r)*x)*x^r*e^(m*log(f) + m*log(x)) + ((b*d^2*m^5 + 5*b*d^2*m^4 + 10*b*d^2*m^3 + 10*b*d^2*m^2 + 4*(b*d^2*m + b*d^2)*r^4 + 5*b*d^2*m + 12*(b*d^2*m^2 + 2*b*d^2*m + b*d^2)*r^3 + b*d^2 + 13*(b*d^2*m^3 + 3*b*d^2*m^2 + 3*b*d^2*m + b*d^2)*r^2 + 6*(b*d^2*m^4 + 4*b*d^2*m^3 + 6*b*d^2*m^2 + 4*b*d^2*m + b*d^2)*r)*x*log(c) + (4*(b*d^2*m + b*d^2)*n*r^4 + 12*(b*d^2*m^2 + 2*b*d^2*m + b*d^2)*n*r^3 + 13*(b*d^2*m^3 + 3*b*d^2*m^2 + 3*b*d^2*m + b*d^2)*n*r^2 + 6*(b*d^2*m^4 + 4*b*d^2*m^3 + 6*b*d^2*m^2 + 4*b*d^2*m + b*d^2)*n*r + (b*d^2*m^5 + 5*b*d^2*m^4 + 10*b*d^2*m^3 + 10*b*d^2*m^2 + 5*b*d^2*m + b*d^2)*n)*x*log(x) + (a*d^2*m^5 + 5*a*d^2*m^4 + 10*a*d^2*m^3 + 10*a*d^2*m^2 + 4*(a*d^2*m - b*d^2*n + a*d^2)*r^4 + 5*a*d^2*m + 12*(a*d^2*m^2 + 2*a*d^2*m + a*d^2 - (b*d^2*m + b*d^2)*n)*r^3 + a*d^2 + 13*(a*d^2*m^3 + 3*a*d^2*m^2 + 3*a*d^2*m + a*d^2 - (b*d^2*m^2 + 2*b*d^2*m + b*d^2)*n)*r^2 - (b*d^2*m^4 + 4*b*d^2*m^3 + 6*b*d^2*m^2 + 4*b*d^2*m + b*d^2)*n + 6*(a*d^2*m^4 + 4*a*d^2*m^3 + 6*a*d^2*m^2 + 4*a*d^2*m + a*d^2 - (b*d^2*m^3 + 3*b*d^2*m^2 + 3*b*d^2*m + b*d^2)*n)*r)*x)*e^(m*log(f) + m*log(x)))/(m^6 + 6*m^5 + 4*(m^2 + 2*m + 1)*r^4 + 15*m^4 + 12*(m^3 + 3*m^2 + 3*m + 1)*r^3 + 20*m^3 + 13*(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)*r^2 + 15*m^2 + 6*(m^5 + 5*m^4 + 10*m^3 + 10*m^2 + 5*m + 1)*r + 6*m + 1)","B",0
442,1,431,0,0.739460," ","integrate((f*x)^m*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left({\left(b e m^{3} + 3 \, b e m^{2} + 3 \, b e m + b e + {\left(b e m^{2} + 2 \, b e m + b e\right)} r\right)} x \log\left(c\right) + {\left({\left(b e m^{2} + 2 \, b e m + b e\right)} n r + {\left(b e m^{3} + 3 \, b e m^{2} + 3 \, b e m + b e\right)} n\right)} x \log\left(x\right) + {\left(a e m^{3} + 3 \, a e m^{2} + 3 \, a e m + a e - {\left(b e m^{2} + 2 \, b e m + b e\right)} n + {\left(a e m^{2} + 2 \, a e m + a e\right)} r\right)} x\right)} x^{r} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)} + {\left({\left(b d m^{3} + 3 \, b d m^{2} + 3 \, b d m + {\left(b d m + b d\right)} r^{2} + b d + 2 \, {\left(b d m^{2} + 2 \, b d m + b d\right)} r\right)} x \log\left(c\right) + {\left({\left(b d m + b d\right)} n r^{2} + 2 \, {\left(b d m^{2} + 2 \, b d m + b d\right)} n r + {\left(b d m^{3} + 3 \, b d m^{2} + 3 \, b d m + b d\right)} n\right)} x \log\left(x\right) + {\left(a d m^{3} + 3 \, a d m^{2} + 3 \, a d m + {\left(a d m - b d n + a d\right)} r^{2} + a d - {\left(b d m^{2} + 2 \, b d m + b d\right)} n + 2 \, {\left(a d m^{2} + 2 \, a d m + a d - {\left(b d m + b d\right)} n\right)} r\right)} x\right)} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)}}{m^{4} + 4 \, m^{3} + {\left(m^{2} + 2 \, m + 1\right)} r^{2} + 6 \, m^{2} + 2 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} r + 4 \, m + 1}"," ",0,"(((b*e*m^3 + 3*b*e*m^2 + 3*b*e*m + b*e + (b*e*m^2 + 2*b*e*m + b*e)*r)*x*log(c) + ((b*e*m^2 + 2*b*e*m + b*e)*n*r + (b*e*m^3 + 3*b*e*m^2 + 3*b*e*m + b*e)*n)*x*log(x) + (a*e*m^3 + 3*a*e*m^2 + 3*a*e*m + a*e - (b*e*m^2 + 2*b*e*m + b*e)*n + (a*e*m^2 + 2*a*e*m + a*e)*r)*x)*x^r*e^(m*log(f) + m*log(x)) + ((b*d*m^3 + 3*b*d*m^2 + 3*b*d*m + (b*d*m + b*d)*r^2 + b*d + 2*(b*d*m^2 + 2*b*d*m + b*d)*r)*x*log(c) + ((b*d*m + b*d)*n*r^2 + 2*(b*d*m^2 + 2*b*d*m + b*d)*n*r + (b*d*m^3 + 3*b*d*m^2 + 3*b*d*m + b*d)*n)*x*log(x) + (a*d*m^3 + 3*a*d*m^2 + 3*a*d*m + (a*d*m - b*d*n + a*d)*r^2 + a*d - (b*d*m^2 + 2*b*d*m + b*d)*n + 2*(a*d*m^2 + 2*a*d*m + a*d - (b*d*m + b*d)*n)*r)*x)*e^(m*log(f) + m*log(x)))/(m^4 + 4*m^3 + (m^2 + 2*m + 1)*r^2 + 6*m^2 + 2*(m^3 + 3*m^2 + 3*m + 1)*r + 4*m + 1)","B",0
443,1,52,0,0.870099," ","integrate((f*x)^m*(a+b*log(c*x^n)),x, algorithm=""fricas"")","\frac{{\left({\left(b m + b\right)} n x \log\left(x\right) + {\left(b m + b\right)} x \log\left(c\right) + {\left(a m - b n + a\right)} x\right)} e^{\left(m \log\left(f\right) + m \log\left(x\right)\right)}}{m^{2} + 2 \, m + 1}"," ",0,"((b*m + b)*n*x*log(x) + (b*m + b)*x*log(c) + (a*m - b*n + a)*x)*e^(m*log(f) + m*log(x))/(m^2 + 2*m + 1)","A",0
444,0,0,0,0.852464," ","integrate((f*x)^m*(a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(f x\right)^{m} b \log\left(c x^{n}\right) + \left(f x\right)^{m} a}{e x^{r} + d}, x\right)"," ",0,"integral(((f*x)^m*b*log(c*x^n) + (f*x)^m*a)/(e*x^r + d), x)","F",0
445,0,0,0,0.798230," ","integrate((f*x)^m*(a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(f x\right)^{m} b \log\left(c x^{n}\right) + \left(f x\right)^{m} a}{e^{2} x^{2 \, r} + 2 \, d e x^{r} + d^{2}}, x\right)"," ",0,"integral(((f*x)^m*b*log(c*x^n) + (f*x)^m*a)/(e^2*x^(2*r) + 2*d*e*x^r + d^2), x)","F",0
446,0,0,0,0.927298," ","integrate((d+e/(x^(1/(1+q))))^q*(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left({\left(b \log\left(c x^{n}\right) + a\right)} \left(\frac{d x^{\left(\frac{1}{q + 1}\right)} + e}{x^{\left(\frac{1}{q + 1}\right)}}\right)^{q}, x\right)"," ",0,"integral((b*log(c*x^n) + a)*((d*x^(1/(q + 1)) + e)/x^(1/(q + 1)))^q, x)","F",0
447,0,0,0,0.768984," ","integrate((f*x)^(-1-(1+q)*r)*(d+e*x^r)^q*(a+b*log(c*x^n)),x, algorithm=""fricas"")","{\rm integral}\left({\left(\left(f x\right)^{-{\left(q + 1\right)} r - 1} b \log\left(c x^{n}\right) + \left(f x\right)^{-{\left(q + 1\right)} r - 1} a\right)} {\left(e x^{r} + d\right)}^{q}, x\right)"," ",0,"integral(((f*x)^(-(q + 1)*r - 1)*b*log(c*x^n) + (f*x)^(-(q + 1)*r - 1)*a)*(e*x^r + d)^q, x)","F",0
448,0,0,0,0.613164," ","integrate((f*x)^m*(d+e*x^r)^3*(a+b*log(c*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(e^{3} x^{3 \, r} + 3 \, d e^{2} x^{2 \, r} + 3 \, d^{2} e x^{r} + d^{3}\right)} \left(f x\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}, x\right)"," ",0,"integral((e^3*x^(3*r) + 3*d*e^2*x^(2*r) + 3*d^2*e*x^r + d^3)*(f*x)^m*(b*log(c*x^n) + a)^p, x)","F",0
449,0,0,0,0.777666," ","integrate((f*x)^m*(d+e*x^r)^2*(a+b*log(c*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(e^{2} x^{2 \, r} + 2 \, d e x^{r} + d^{2}\right)} \left(f x\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}, x\right)"," ",0,"integral((e^2*x^(2*r) + 2*d*e*x^r + d^2)*(f*x)^m*(b*log(c*x^n) + a)^p, x)","F",0
450,0,0,0,0.887179," ","integrate((f*x)^m*(d+e*x^r)*(a+b*log(c*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(e x^{r} + d\right)} \left(f x\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}, x\right)"," ",0,"integral((e*x^r + d)*(f*x)^m*(b*log(c*x^n) + a)^p, x)","F",0
451,0,0,0,0.887763," ","integrate((f*x)^m*(a+b*log(c*x^n))^p,x, algorithm=""fricas"")","{\rm integral}\left(\left(f x\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}, x\right)"," ",0,"integral((f*x)^m*(b*log(c*x^n) + a)^p, x)","F",0
452,0,0,0,0.865500," ","integrate((f*x)^m*(a+b*log(c*x^n))^p/(d+e*x^r),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(f x\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}}{e x^{r} + d}, x\right)"," ",0,"integral((f*x)^m*(b*log(c*x^n) + a)^p/(e*x^r + d), x)","F",0
453,0,0,0,0.921513," ","integrate((f*x)^m*(a+b*log(c*x^n))^p/(d+e*x^r)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\left(f x\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}}{e^{2} x^{2 \, r} + 2 \, d e x^{r} + d^{2}}, x\right)"," ",0,"integral((f*x)^m*(b*log(c*x^n) + a)^p/(e^2*x^(2*r) + 2*d*e*x^r + d^2), x)","F",0
454,1,215,0,0.666511," ","integrate((g*x+f)*(a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""fricas"")","-\frac{a d^{2} e f + a d^{3} g - {\left(b d^{2} e f - b d^{3} g\right)} n + {\left(2 \, a d^{2} e g - {\left(b d e^{2} f - b d^{2} e g\right)} n\right)} x + {\left({\left(b e^{3} f + b d e^{2} g\right)} n x^{2} + 2 \, {\left(b d e^{2} f + b d^{2} e g\right)} n x + {\left(b d^{2} e f + b d^{3} g\right)} n\right)} \log\left(e x + d\right) + {\left(2 \, b d^{2} e g x + b d^{2} e f + b d^{3} g\right)} \log\left(c\right) - {\left(2 \, b d e^{2} f n x + {\left(b e^{3} f + b d e^{2} g\right)} n x^{2}\right)} \log\left(x\right)}{2 \, {\left(d^{2} e^{4} x^{2} + 2 \, d^{3} e^{3} x + d^{4} e^{2}\right)}}"," ",0,"-1/2*(a*d^2*e*f + a*d^3*g - (b*d^2*e*f - b*d^3*g)*n + (2*a*d^2*e*g - (b*d*e^2*f - b*d^2*e*g)*n)*x + ((b*e^3*f + b*d*e^2*g)*n*x^2 + 2*(b*d*e^2*f + b*d^2*e*g)*n*x + (b*d^2*e*f + b*d^3*g)*n)*log(e*x + d) + (2*b*d^2*e*g*x + b*d^2*e*f + b*d^3*g)*log(c) - (2*b*d*e^2*f*n*x + (b*e^3*f + b*d*e^2*g)*n*x^2)*log(x))/(d^2*e^4*x^2 + 2*d^3*e^3*x + d^4*e^2)","B",0
455,0,0,0,0.877497," ","integrate((g*x+f)*(a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{2} g x + a^{2} f + {\left(b^{2} g x + b^{2} f\right)} \log\left(c x^{n}\right)^{2} + 2 \, {\left(a b g x + a b f\right)} \log\left(c x^{n}\right)}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((a^2*g*x + a^2*f + (b^2*g*x + b^2*f)*log(c*x^n)^2 + 2*(a*b*g*x + a*b*f)*log(c*x^n))/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
456,0,0,0,0.830598," ","integrate((g*x+f)*(a+b*log(c*x^n))^3/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{a^{3} g x + a^{3} f + {\left(b^{3} g x + b^{3} f\right)} \log\left(c x^{n}\right)^{3} + 3 \, {\left(a b^{2} g x + a b^{2} f\right)} \log\left(c x^{n}\right)^{2} + 3 \, {\left(a^{2} b g x + a^{2} b f\right)} \log\left(c x^{n}\right)}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral((a^3*g*x + a^3*f + (b^3*g*x + b^3*f)*log(c*x^n)^3 + 3*(a*b^2*g*x + a*b^2*f)*log(c*x^n)^2 + 3*(a^2*b*g*x + a^2*b*f)*log(c*x^n))/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
