1,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(f*x^2+e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*d*f-e^2>0)', see `assume?` for more details)Is 4*d*f-e^2 positive or negative?","F(-2)",0
2,1,259,0,1.471520," ","integrate(x^3*(a+b*log(c*x^n))*log(e*x+1),x, algorithm=""maxima"")","-\frac{{\left(\log\left(e x + 1\right) \log\left(x\right) + {\rm Li}_2\left(-e x\right)\right)} b n}{4 \, e^{4}} + \frac{{\left(b {\left(n - 4 \, \log\left(c\right)\right)} - 4 \, a\right)} \log\left(e x + 1\right)}{16 \, e^{4}} - \frac{9 \, {\left(2 \, a e^{4} - {\left(e^{4} n - 2 \, e^{4} \log\left(c\right)\right)} b\right)} x^{4} - 2 \, {\left(12 \, a e^{3} - {\left(7 \, e^{3} n - 12 \, e^{3} \log\left(c\right)\right)} b\right)} x^{3} + 9 \, {\left(4 \, a e^{2} - {\left(3 \, e^{2} n - 4 \, e^{2} \log\left(c\right)\right)} b\right)} x^{2} + 18 \, {\left({\left(5 \, e n - 4 \, e \log\left(c\right)\right)} b - 4 \, a e\right)} x - 18 \, {\left({\left(4 \, a e^{4} - {\left(e^{4} n - 4 \, e^{4} \log\left(c\right)\right)} b\right)} x^{4} + 4 \, b n \log\left(x\right)\right)} \log\left(e x + 1\right) + 6 \, {\left(3 \, b e^{4} x^{4} - 4 \, b e^{3} x^{3} + 6 \, b e^{2} x^{2} - 12 \, b e x - 12 \, {\left(b e^{4} x^{4} - b\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)}{288 \, e^{4}}"," ",0,"-1/4*(log(e*x + 1)*log(x) + dilog(-e*x))*b*n/e^4 + 1/16*(b*(n - 4*log(c)) - 4*a)*log(e*x + 1)/e^4 - 1/288*(9*(2*a*e^4 - (e^4*n - 2*e^4*log(c))*b)*x^4 - 2*(12*a*e^3 - (7*e^3*n - 12*e^3*log(c))*b)*x^3 + 9*(4*a*e^2 - (3*e^2*n - 4*e^2*log(c))*b)*x^2 + 18*((5*e*n - 4*e*log(c))*b - 4*a*e)*x - 18*((4*a*e^4 - (e^4*n - 4*e^4*log(c))*b)*x^4 + 4*b*n*log(x))*log(e*x + 1) + 6*(3*b*e^4*x^4 - 4*b*e^3*x^3 + 6*b*e^2*x^2 - 12*b*e*x - 12*(b*e^4*x^4 - b)*log(e*x + 1))*log(x^n))/e^4","A",0
3,1,220,0,1.353482," ","integrate(x^2*(a+b*log(c*x^n))*log(e*x+1),x, algorithm=""maxima"")","\frac{{\left(\log\left(e x + 1\right) \log\left(x\right) + {\rm Li}_2\left(-e x\right)\right)} b n}{3 \, e^{3}} - \frac{{\left(b {\left(n - 3 \, \log\left(c\right)\right)} - 3 \, a\right)} \log\left(e x + 1\right)}{9 \, e^{3}} - \frac{4 \, {\left(3 \, a e^{3} - {\left(2 \, e^{3} n - 3 \, e^{3} \log\left(c\right)\right)} b\right)} x^{3} - 3 \, {\left(6 \, a e^{2} - {\left(5 \, e^{2} n - 6 \, e^{2} \log\left(c\right)\right)} b\right)} x^{2} - 12 \, {\left({\left(4 \, e n - 3 \, e \log\left(c\right)\right)} b - 3 \, a e\right)} x - 12 \, {\left({\left(3 \, a e^{3} - {\left(e^{3} n - 3 \, e^{3} \log\left(c\right)\right)} b\right)} x^{3} - 3 \, b n \log\left(x\right)\right)} \log\left(e x + 1\right) + 6 \, {\left(2 \, b e^{3} x^{3} - 3 \, b e^{2} x^{2} + 6 \, b e x - 6 \, {\left(b e^{3} x^{3} + b\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)}{108 \, e^{3}}"," ",0,"1/3*(log(e*x + 1)*log(x) + dilog(-e*x))*b*n/e^3 - 1/9*(b*(n - 3*log(c)) - 3*a)*log(e*x + 1)/e^3 - 1/108*(4*(3*a*e^3 - (2*e^3*n - 3*e^3*log(c))*b)*x^3 - 3*(6*a*e^2 - (5*e^2*n - 6*e^2*log(c))*b)*x^2 - 12*((4*e*n - 3*e*log(c))*b - 3*a*e)*x - 12*((3*a*e^3 - (e^3*n - 3*e^3*log(c))*b)*x^3 - 3*b*n*log(x))*log(e*x + 1) + 6*(2*b*e^3*x^3 - 3*b*e^2*x^2 + 6*b*e*x - 6*(b*e^3*x^3 + b)*log(e*x + 1))*log(x^n))/e^3","A",0
4,1,178,0,1.400875," ","integrate(x*(a+b*log(c*x^n))*log(e*x+1),x, algorithm=""maxima"")","-\frac{{\left(\log\left(e x + 1\right) \log\left(x\right) + {\rm Li}_2\left(-e x\right)\right)} b n}{2 \, e^{2}} + \frac{{\left(b {\left(n - 2 \, \log\left(c\right)\right)} - 2 \, a\right)} \log\left(e x + 1\right)}{4 \, e^{2}} - \frac{{\left(a e^{2} - {\left(e^{2} n - e^{2} \log\left(c\right)\right)} b\right)} x^{2} + {\left({\left(3 \, e n - 2 \, e \log\left(c\right)\right)} b - 2 \, a e\right)} x - {\left({\left(2 \, a e^{2} - {\left(e^{2} n - 2 \, e^{2} \log\left(c\right)\right)} b\right)} x^{2} + 2 \, b n \log\left(x\right)\right)} \log\left(e x + 1\right) + {\left(b e^{2} x^{2} - 2 \, b e x - 2 \, {\left(b e^{2} x^{2} - b\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)}{4 \, e^{2}}"," ",0,"-1/2*(log(e*x + 1)*log(x) + dilog(-e*x))*b*n/e^2 + 1/4*(b*(n - 2*log(c)) - 2*a)*log(e*x + 1)/e^2 - 1/4*((a*e^2 - (e^2*n - e^2*log(c))*b)*x^2 + ((3*e*n - 2*e*log(c))*b - 2*a*e)*x - ((2*a*e^2 - (e^2*n - 2*e^2*log(c))*b)*x^2 + 2*b*n*log(x))*log(e*x + 1) + (b*e^2*x^2 - 2*b*e*x - 2*(b*e^2*x^2 - b)*log(e*x + 1))*log(x^n))/e^2","A",0
5,1,126,0,1.247066," ","integrate((a+b*log(c*x^n))*log(e*x+1),x, algorithm=""maxima"")","\frac{{\left(\log\left(e x + 1\right) \log\left(x\right) + {\rm Li}_2\left(-e x\right)\right)} b n}{e} - \frac{{\left(b {\left(n - \log\left(c\right)\right)} - a\right)} \log\left(e x + 1\right)}{e} + \frac{{\left({\left(2 \, e n - e \log\left(c\right)\right)} b - a e\right)} x - {\left(b n \log\left(x\right) + {\left({\left(e n - e \log\left(c\right)\right)} b - a e\right)} x\right)} \log\left(e x + 1\right) - {\left(b e x - {\left(b e x + b\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)}{e}"," ",0,"(log(e*x + 1)*log(x) + dilog(-e*x))*b*n/e - (b*(n - log(c)) - a)*log(e*x + 1)/e + (((2*e*n - e*log(c))*b - a*e)*x - (b*n*log(x) + ((e*n - e*log(c))*b - a*e)*x)*log(e*x + 1) - (b*e*x - (b*e*x + b)*log(e*x + 1))*log(x^n))/e","A",0
6,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(e*x+1)/x,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left(e x + 1\right)}{x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*log(e*x + 1)/x, x)","F",0
7,1,128,0,1.395379," ","integrate((a+b*log(c*x^n))*log(e*x+1)/x^2,x, algorithm=""maxima"")","-{\left(\log\left(e x + 1\right) \log\left(x\right) + {\rm Li}_2\left(-e x\right)\right)} b e n - {\left({\left(e n + e \log\left(c\right)\right)} b + a e\right)} \log\left(e x + 1\right) + {\left({\left(e n + e \log\left(c\right)\right)} b + a e\right)} \log\left(x\right) - \frac{b e n x \log\left(x\right)^{2} - 2 \, {\left(b e n x \log\left(x\right) - b {\left(n + \log\left(c\right)\right)} - a\right)} \log\left(e x + 1\right) - 2 \, {\left(b e x \log\left(x\right) - {\left(b e x + b\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)}{2 \, x}"," ",0,"-(log(e*x + 1)*log(x) + dilog(-e*x))*b*e*n - ((e*n + e*log(c))*b + a*e)*log(e*x + 1) + ((e*n + e*log(c))*b + a*e)*log(x) - 1/2*(b*e*n*x*log(x)^2 - 2*(b*e*n*x*log(x) - b*(n + log(c)) - a)*log(e*x + 1) - 2*(b*e*x*log(x) - (b*e*x + b)*log(e*x + 1))*log(x^n))/x","A",0
8,1,194,0,1.368891," ","integrate((a+b*log(c*x^n))*log(e*x+1)/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\log\left(e x + 1\right) \log\left(x\right) + {\rm Li}_2\left(-e x\right)\right)} b e^{2} n + \frac{1}{4} \, {\left(2 \, a e^{2} + {\left(e^{2} n + 2 \, e^{2} \log\left(c\right)\right)} b\right)} \log\left(e x + 1\right) + \frac{b e^{2} n x^{2} \log\left(x\right)^{2} - {\left(2 \, a e^{2} + {\left(e^{2} n + 2 \, e^{2} \log\left(c\right)\right)} b\right)} x^{2} \log\left(x\right) - {\left({\left(3 \, e n + 2 \, e \log\left(c\right)\right)} b + 2 \, a e\right)} x - {\left(2 \, b e^{2} n x^{2} \log\left(x\right) + b {\left(n + 2 \, \log\left(c\right)\right)} + 2 \, a\right)} \log\left(e x + 1\right) - 2 \, {\left(b e^{2} x^{2} \log\left(x\right) + b e x - {\left(b e^{2} x^{2} - b\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)}{4 \, x^{2}}"," ",0,"1/2*(log(e*x + 1)*log(x) + dilog(-e*x))*b*e^2*n + 1/4*(2*a*e^2 + (e^2*n + 2*e^2*log(c))*b)*log(e*x + 1) + 1/4*(b*e^2*n*x^2*log(x)^2 - (2*a*e^2 + (e^2*n + 2*e^2*log(c))*b)*x^2*log(x) - ((3*e*n + 2*e*log(c))*b + 2*a*e)*x - (2*b*e^2*n*x^2*log(x) + b*(n + 2*log(c)) + 2*a)*log(e*x + 1) - 2*(b*e^2*x^2*log(x) + b*e*x - (b*e^2*x^2 - b)*log(e*x + 1))*log(x^n))/x^2","A",0
9,1,232,0,1.183618," ","integrate((a+b*log(c*x^n))*log(e*x+1)/x^4,x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(\log\left(e x + 1\right) \log\left(x\right) + {\rm Li}_2\left(-e x\right)\right)} b e^{3} n - \frac{1}{9} \, {\left(3 \, a e^{3} + {\left(e^{3} n + 3 \, e^{3} \log\left(c\right)\right)} b\right)} \log\left(e x + 1\right) - \frac{6 \, b e^{3} n x^{3} \log\left(x\right)^{2} - 4 \, {\left(3 \, a e^{3} + {\left(e^{3} n + 3 \, e^{3} \log\left(c\right)\right)} b\right)} x^{3} \log\left(x\right) - 4 \, {\left(3 \, a e^{2} + {\left(4 \, e^{2} n + 3 \, e^{2} \log\left(c\right)\right)} b\right)} x^{2} + {\left({\left(5 \, e n + 6 \, e \log\left(c\right)\right)} b + 6 \, a e\right)} x - 4 \, {\left(3 \, b e^{3} n x^{3} \log\left(x\right) - b {\left(n + 3 \, \log\left(c\right)\right)} - 3 \, a\right)} \log\left(e x + 1\right) - 6 \, {\left(2 \, b e^{3} x^{3} \log\left(x\right) + 2 \, b e^{2} x^{2} - b e x - 2 \, {\left(b e^{3} x^{3} + b\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)}{36 \, x^{3}}"," ",0,"-1/3*(log(e*x + 1)*log(x) + dilog(-e*x))*b*e^3*n - 1/9*(3*a*e^3 + (e^3*n + 3*e^3*log(c))*b)*log(e*x + 1) - 1/36*(6*b*e^3*n*x^3*log(x)^2 - 4*(3*a*e^3 + (e^3*n + 3*e^3*log(c))*b)*x^3*log(x) - 4*(3*a*e^2 + (4*e^2*n + 3*e^2*log(c))*b)*x^2 + ((5*e*n + 6*e*log(c))*b + 6*a*e)*x - 4*(3*b*e^3*n*x^3*log(x) - b*(n + 3*log(c)) - 3*a)*log(e*x + 1) - 6*(2*b*e^3*x^3*log(x) + 2*b*e^2*x^2 - b*e*x - 2*(b*e^3*x^3 + b)*log(e*x + 1))*log(x^n))/x^3","A",0
10,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))^2*log(e*x+1),x, algorithm=""maxima"")","-\frac{{\left(3 \, b^{2} e^{4} x^{4} - 4 \, b^{2} e^{3} x^{3} + 6 \, b^{2} e^{2} x^{2} - 12 \, b^{2} e x - 12 \, {\left(b^{2} e^{4} x^{4} - b^{2}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{2}}{48 \, e^{4}} + \frac{-\frac{3}{16} \, b^{2} e^{4} n^{2} x^{4} + \frac{3}{4} \, b^{2} e^{4} n x^{4} \log\left(x^{n}\right) + \frac{4}{9} \, b^{2} e^{3} n^{2} x^{3} - \frac{4}{3} \, b^{2} e^{3} n x^{3} \log\left(x^{n}\right) + \frac{1}{2} \, {\left(12 \, x^{4} \log\left(e x + 1\right) - e {\left(\frac{3 \, e^{3} x^{4} - 4 \, e^{2} x^{3} + 6 \, e x^{2} - 12 \, x}{e^{4}} + \frac{12 \, \log\left(e x + 1\right)}{e^{5}}\right)}\right)} b^{2} e^{4} \log\left(c\right)^{2} - \frac{3}{2} \, b^{2} e^{2} n^{2} x^{2} + {\left(12 \, x^{4} \log\left(e x + 1\right) - e {\left(\frac{3 \, e^{3} x^{4} - 4 \, e^{2} x^{3} + 6 \, e x^{2} - 12 \, x}{e^{4}} + \frac{12 \, \log\left(e x + 1\right)}{e^{5}}\right)}\right)} a b e^{4} \log\left(c\right) + 3 \, b^{2} e^{2} n x^{2} \log\left(x^{n}\right) + \frac{1}{2} \, {\left(12 \, x^{4} \log\left(e x + 1\right) - e {\left(\frac{3 \, e^{3} x^{4} - 4 \, e^{2} x^{3} + 6 \, e x^{2} - 12 \, x}{e^{4}} + \frac{12 \, \log\left(e x + 1\right)}{e^{5}}\right)}\right)} a^{2} e^{4} + 12 \, b^{2} e n^{2} x - 12 \, b^{2} e n x \log\left(x^{n}\right) + \int \frac{12 \, {\left({\left(4 \, a b e^{4} - {\left(e^{4} n - 4 \, e^{4} \log\left(c\right)\right)} b^{2}\right)} x^{4} + b^{2} n\right)} \log\left(e x + 1\right) \log\left(x^{n}\right)}{x}\,{d x}}{24 \, e^{4}}"," ",0,"-1/48*(3*b^2*e^4*x^4 - 4*b^2*e^3*x^3 + 6*b^2*e^2*x^2 - 12*b^2*e*x - 12*(b^2*e^4*x^4 - b^2)*log(e*x + 1))*log(x^n)^2/e^4 + 1/24*integrate((24*(b^2*e^4*log(c)^2 + 2*a*b*e^4*log(c) + a^2*e^4)*x^4*log(e*x + 1) + (3*b^2*e^4*n*x^4 - 4*b^2*e^3*n*x^3 + 6*b^2*e^2*n*x^2 - 12*b^2*e*n*x + 12*((4*a*b*e^4 - (e^4*n - 4*e^4*log(c))*b^2)*x^4 + b^2*n)*log(e*x + 1))*log(x^n))/x, x)/e^4","F",0
11,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2*log(e*x+1),x, algorithm=""maxima"")","-\frac{{\left(2 \, b^{2} e^{3} x^{3} - 3 \, b^{2} e^{2} x^{2} + 6 \, b^{2} e x - 6 \, {\left(b^{2} e^{3} x^{3} + b^{2}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{2}}{18 \, e^{3}} + \frac{-\frac{2}{9} \, b^{2} e^{3} n^{2} x^{3} + \frac{2}{3} \, b^{2} e^{3} n x^{3} \log\left(x^{n}\right) + \frac{3}{4} \, b^{2} e^{2} n^{2} x^{2} + \frac{1}{2} \, {\left(6 \, x^{3} \log\left(e x + 1\right) - e {\left(\frac{2 \, e^{2} x^{3} - 3 \, e x^{2} + 6 \, x}{e^{3}} - \frac{6 \, \log\left(e x + 1\right)}{e^{4}}\right)}\right)} b^{2} e^{3} \log\left(c\right)^{2} - \frac{3}{2} \, b^{2} e^{2} n x^{2} \log\left(x^{n}\right) + {\left(6 \, x^{3} \log\left(e x + 1\right) - e {\left(\frac{2 \, e^{2} x^{3} - 3 \, e x^{2} + 6 \, x}{e^{3}} - \frac{6 \, \log\left(e x + 1\right)}{e^{4}}\right)}\right)} a b e^{3} \log\left(c\right) + \frac{1}{2} \, {\left(6 \, x^{3} \log\left(e x + 1\right) - e {\left(\frac{2 \, e^{2} x^{3} - 3 \, e x^{2} + 6 \, x}{e^{3}} - \frac{6 \, \log\left(e x + 1\right)}{e^{4}}\right)}\right)} a^{2} e^{3} - 6 \, b^{2} e n^{2} x + 6 \, b^{2} e n x \log\left(x^{n}\right) + \int \frac{6 \, {\left({\left(3 \, a b e^{3} - {\left(e^{3} n - 3 \, e^{3} \log\left(c\right)\right)} b^{2}\right)} x^{3} - b^{2} n\right)} \log\left(e x + 1\right) \log\left(x^{n}\right)}{x}\,{d x}}{9 \, e^{3}}"," ",0,"-1/18*(2*b^2*e^3*x^3 - 3*b^2*e^2*x^2 + 6*b^2*e*x - 6*(b^2*e^3*x^3 + b^2)*log(e*x + 1))*log(x^n)^2/e^3 + 1/9*integrate((9*(b^2*e^3*log(c)^2 + 2*a*b*e^3*log(c) + a^2*e^3)*x^3*log(e*x + 1) + (2*b^2*e^3*n*x^3 - 3*b^2*e^2*n*x^2 + 6*b^2*e*n*x + 6*((3*a*b*e^3 - (e^3*n - 3*e^3*log(c))*b^2)*x^3 - b^2*n)*log(e*x + 1))*log(x^n))/x, x)/e^3","F",0
12,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2*log(e*x+1),x, algorithm=""maxima"")","-\frac{{\left(b^{2} e^{2} x^{2} - 2 \, b^{2} e x - 2 \, {\left(b^{2} e^{2} x^{2} - b^{2}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{2}}{4 \, e^{2}} + \frac{-\frac{1}{4} \, b^{2} e^{2} n^{2} x^{2} + \frac{1}{2} \, b^{2} e^{2} n x^{2} \log\left(x^{n}\right) + \frac{1}{2} \, {\left(2 \, x^{2} \log\left(e x + 1\right) - e {\left(\frac{e x^{2} - 2 \, x}{e^{2}} + \frac{2 \, \log\left(e x + 1\right)}{e^{3}}\right)}\right)} b^{2} e^{2} \log\left(c\right)^{2} + 2 \, b^{2} e n^{2} x + {\left(2 \, x^{2} \log\left(e x + 1\right) - e {\left(\frac{e x^{2} - 2 \, x}{e^{2}} + \frac{2 \, \log\left(e x + 1\right)}{e^{3}}\right)}\right)} a b e^{2} \log\left(c\right) - 2 \, b^{2} e n x \log\left(x^{n}\right) + \frac{1}{2} \, {\left(2 \, x^{2} \log\left(e x + 1\right) - e {\left(\frac{e x^{2} - 2 \, x}{e^{2}} + \frac{2 \, \log\left(e x + 1\right)}{e^{3}}\right)}\right)} a^{2} e^{2} + \int \frac{2 \, {\left(b^{2} n + {\left(2 \, a b e^{2} - {\left(e^{2} n - 2 \, e^{2} \log\left(c\right)\right)} b^{2}\right)} x^{2}\right)} \log\left(e x + 1\right) \log\left(x^{n}\right)}{x}\,{d x}}{2 \, e^{2}}"," ",0,"-1/4*(b^2*e^2*x^2 - 2*b^2*e*x - 2*(b^2*e^2*x^2 - b^2)*log(e*x + 1))*log(x^n)^2/e^2 + 1/2*integrate((2*(b^2*e^2*log(c)^2 + 2*a*b*e^2*log(c) + a^2*e^2)*x^2*log(e*x + 1) + (b^2*e^2*n*x^2 - 2*b^2*e*n*x + 2*(b^2*n + (2*a*b*e^2 - (e^2*n - 2*e^2*log(c))*b^2)*x^2)*log(e*x + 1))*log(x^n))/x, x)/e^2","F",0
13,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(e*x+1),x, algorithm=""maxima"")","-\frac{{\left(b^{2} e x - {\left(b^{2} e x + b^{2}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{2}}{e} + \frac{-2 \, b^{2} e n^{2} x + 2 \, b^{2} e n x \log\left(x^{n}\right) - {\left(e x - {\left(e x + 1\right)} \log\left(e x + 1\right) + 1\right)} b^{2} \log\left(c\right)^{2} - 2 \, {\left(e x - {\left(e x + 1\right)} \log\left(e x + 1\right) + 1\right)} a b \log\left(c\right) - {\left(e x - {\left(e x + 1\right)} \log\left(e x + 1\right) + 1\right)} a^{2} + \int -\frac{2 \, {\left(b^{2} n + {\left({\left(e n - e \log\left(c\right)\right)} b^{2} - a b e\right)} x\right)} \log\left(e x + 1\right) \log\left(x^{n}\right)}{x}\,{d x}}{e}"," ",0,"-(b^2*e*x - (b^2*e*x + b^2)*log(e*x + 1))*log(x^n)^2/e + integrate(((b^2*e*log(c)^2 + 2*a*b*e*log(c) + a^2*e)*x*log(e*x + 1) + 2*(b^2*e*n*x - (b^2*n + ((e*n - e*log(c))*b^2 - a*b*e)*x)*log(e*x + 1))*log(x^n))/x, x)/e","F",0
14,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(e*x+1)/x,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} \log\left(e x + 1\right)}{x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*log(e*x + 1)/x, x)","F",0
15,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(e*x+1)/x^2,x, algorithm=""maxima"")","\frac{{\left(b^{2} e x \log\left(x\right) - {\left(b^{2} e x + b^{2}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{2}}{x} + \int \frac{{\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + a^{2}\right)} \log\left(e x + 1\right) - 2 \, {\left(b^{2} e n x \log\left(x\right) - {\left(b^{2} e n x + b^{2} {\left(n + \log\left(c\right)\right)} + a b\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)}{x^{2}}\,{d x}"," ",0,"(b^2*e*x*log(x) - (b^2*e*x + b^2)*log(e*x + 1))*log(x^n)^2/x + integrate(((b^2*log(c)^2 + 2*a*b*log(c) + a^2)*log(e*x + 1) - 2*(b^2*e*n*x*log(x) - (b^2*e*n*x + b^2*(n + log(c)) + a*b)*log(e*x + 1))*log(x^n))/x^2, x)","F",0
16,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(e*x+1)/x^3,x, algorithm=""maxima"")","-\frac{{\left(b^{2} e^{2} x^{2} \log\left(x\right) + b^{2} e x - {\left(b^{2} e^{2} x^{2} - b^{2}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{2}}{2 \, x^{2}} - \int -\frac{{\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + a^{2}\right)} \log\left(e x + 1\right) + {\left(b^{2} e^{2} n x^{2} \log\left(x\right) + b^{2} e n x - {\left(b^{2} e^{2} n x^{2} - b^{2} {\left(n + 2 \, \log\left(c\right)\right)} - 2 \, a b\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)}{x^{3}}\,{d x}"," ",0,"-1/2*(b^2*e^2*x^2*log(x) + b^2*e*x - (b^2*e^2*x^2 - b^2)*log(e*x + 1))*log(x^n)^2/x^2 - integrate(-((b^2*log(c)^2 + 2*a*b*log(c) + a^2)*log(e*x + 1) + (b^2*e^2*n*x^2*log(x) + b^2*e*n*x - (b^2*e^2*n*x^2 - b^2*(n + 2*log(c)) - 2*a*b)*log(e*x + 1))*log(x^n))/x^3, x)","F",0
17,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))^3*log(e*x+1),x, algorithm=""maxima"")","-\frac{{\left(3 \, b^{3} e^{4} x^{4} - 4 \, b^{3} e^{3} x^{3} + 6 \, b^{3} e^{2} x^{2} - 12 \, b^{3} e x - 12 \, {\left(b^{3} e^{4} x^{4} - b^{3}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{3}}{48 \, e^{4}} + \frac{\frac{1}{3} \, {\left(12 \, x^{4} \log\left(e x + 1\right) - e {\left(\frac{3 \, e^{3} x^{4} - 4 \, e^{2} x^{3} + 6 \, e x^{2} - 12 \, x}{e^{4}} + \frac{12 \, \log\left(e x + 1\right)}{e^{5}}\right)}\right)} b^{3} e^{4} \log\left(c\right)^{3} + {\left(12 \, x^{4} \log\left(e x + 1\right) - e {\left(\frac{3 \, e^{3} x^{4} - 4 \, e^{2} x^{3} + 6 \, e x^{2} - 12 \, x}{e^{4}} + \frac{12 \, \log\left(e x + 1\right)}{e^{5}}\right)}\right)} a b^{2} e^{4} \log\left(c\right)^{2} + {\left(12 \, x^{4} \log\left(e x + 1\right) - e {\left(\frac{3 \, e^{3} x^{4} - 4 \, e^{2} x^{3} + 6 \, e x^{2} - 12 \, x}{e^{4}} + \frac{12 \, \log\left(e x + 1\right)}{e^{5}}\right)}\right)} a^{2} b e^{4} \log\left(c\right) + \frac{1}{3} \, {\left(12 \, x^{4} \log\left(e x + 1\right) - e {\left(\frac{3 \, e^{3} x^{4} - 4 \, e^{2} x^{3} + 6 \, e x^{2} - 12 \, x}{e^{4}} + \frac{12 \, \log\left(e x + 1\right)}{e^{5}}\right)}\right)} a^{3} e^{4} + \int \frac{48 \, {\left(b^{3} e^{4} \log\left(c\right)^{2} + 2 \, a b^{2} e^{4} \log\left(c\right) + a^{2} b e^{4}\right)} x^{4} \log\left(e x + 1\right) \log\left(x^{n}\right) + {\left(3 \, b^{3} e^{4} n x^{4} - 4 \, b^{3} e^{3} n x^{3} + 6 \, b^{3} e^{2} n x^{2} - 12 \, b^{3} e n x + 12 \, {\left({\left(4 \, a b^{2} e^{4} - {\left(e^{4} n - 4 \, e^{4} \log\left(c\right)\right)} b^{3}\right)} x^{4} + b^{3} n\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{2}}{x}\,{d x}}{16 \, e^{4}}"," ",0,"-1/48*(3*b^3*e^4*x^4 - 4*b^3*e^3*x^3 + 6*b^3*e^2*x^2 - 12*b^3*e*x - 12*(b^3*e^4*x^4 - b^3)*log(e*x + 1))*log(x^n)^3/e^4 + 1/16*integrate((48*(b^3*e^4*log(c)^2 + 2*a*b^2*e^4*log(c) + a^2*b*e^4)*x^4*log(e*x + 1)*log(x^n) + 16*(b^3*e^4*log(c)^3 + 3*a*b^2*e^4*log(c)^2 + 3*a^2*b*e^4*log(c) + a^3*e^4)*x^4*log(e*x + 1) + (3*b^3*e^4*n*x^4 - 4*b^3*e^3*n*x^3 + 6*b^3*e^2*n*x^2 - 12*b^3*e*n*x + 12*((4*a*b^2*e^4 - (e^4*n - 4*e^4*log(c))*b^3)*x^4 + b^3*n)*log(e*x + 1))*log(x^n)^2)/x, x)/e^4","F",0
18,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^3*log(e*x+1),x, algorithm=""maxima"")","-\frac{{\left(2 \, b^{3} e^{3} x^{3} - 3 \, b^{3} e^{2} x^{2} + 6 \, b^{3} e x - 6 \, {\left(b^{3} e^{3} x^{3} + b^{3}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{3}}{18 \, e^{3}} + \frac{\frac{1}{3} \, {\left(6 \, x^{3} \log\left(e x + 1\right) - e {\left(\frac{2 \, e^{2} x^{3} - 3 \, e x^{2} + 6 \, x}{e^{3}} - \frac{6 \, \log\left(e x + 1\right)}{e^{4}}\right)}\right)} b^{3} e^{3} \log\left(c\right)^{3} + {\left(6 \, x^{3} \log\left(e x + 1\right) - e {\left(\frac{2 \, e^{2} x^{3} - 3 \, e x^{2} + 6 \, x}{e^{3}} - \frac{6 \, \log\left(e x + 1\right)}{e^{4}}\right)}\right)} a b^{2} e^{3} \log\left(c\right)^{2} + {\left(6 \, x^{3} \log\left(e x + 1\right) - e {\left(\frac{2 \, e^{2} x^{3} - 3 \, e x^{2} + 6 \, x}{e^{3}} - \frac{6 \, \log\left(e x + 1\right)}{e^{4}}\right)}\right)} a^{2} b e^{3} \log\left(c\right) + \frac{1}{3} \, {\left(6 \, x^{3} \log\left(e x + 1\right) - e {\left(\frac{2 \, e^{2} x^{3} - 3 \, e x^{2} + 6 \, x}{e^{3}} - \frac{6 \, \log\left(e x + 1\right)}{e^{4}}\right)}\right)} a^{3} e^{3} + \int \frac{18 \, {\left(b^{3} e^{3} \log\left(c\right)^{2} + 2 \, a b^{2} e^{3} \log\left(c\right) + a^{2} b e^{3}\right)} x^{3} \log\left(e x + 1\right) \log\left(x^{n}\right) + {\left(2 \, b^{3} e^{3} n x^{3} - 3 \, b^{3} e^{2} n x^{2} + 6 \, b^{3} e n x - 6 \, {\left(b^{3} n - {\left(3 \, a b^{2} e^{3} - {\left(e^{3} n - 3 \, e^{3} \log\left(c\right)\right)} b^{3}\right)} x^{3}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{2}}{x}\,{d x}}{6 \, e^{3}}"," ",0,"-1/18*(2*b^3*e^3*x^3 - 3*b^3*e^2*x^2 + 6*b^3*e*x - 6*(b^3*e^3*x^3 + b^3)*log(e*x + 1))*log(x^n)^3/e^3 + 1/6*integrate((18*(b^3*e^3*log(c)^2 + 2*a*b^2*e^3*log(c) + a^2*b*e^3)*x^3*log(e*x + 1)*log(x^n) + 6*(b^3*e^3*log(c)^3 + 3*a*b^2*e^3*log(c)^2 + 3*a^2*b*e^3*log(c) + a^3*e^3)*x^3*log(e*x + 1) + (2*b^3*e^3*n*x^3 - 3*b^3*e^2*n*x^2 + 6*b^3*e*n*x - 6*(b^3*n - (3*a*b^2*e^3 - (e^3*n - 3*e^3*log(c))*b^3)*x^3)*log(e*x + 1))*log(x^n)^2)/x, x)/e^3","F",0
19,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^3*log(e*x+1),x, algorithm=""maxima"")","-\frac{{\left(b^{3} e^{2} x^{2} - 2 \, b^{3} e x - 2 \, {\left(b^{3} e^{2} x^{2} - b^{3}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{3}}{4 \, e^{2}} + \frac{{\left(2 \, x^{2} \log\left(e x + 1\right) - e {\left(\frac{e x^{2} - 2 \, x}{e^{2}} + \frac{2 \, \log\left(e x + 1\right)}{e^{3}}\right)}\right)} b^{3} e^{2} \log\left(c\right)^{3} + 3 \, {\left(2 \, x^{2} \log\left(e x + 1\right) - e {\left(\frac{e x^{2} - 2 \, x}{e^{2}} + \frac{2 \, \log\left(e x + 1\right)}{e^{3}}\right)}\right)} a b^{2} e^{2} \log\left(c\right)^{2} + 3 \, {\left(2 \, x^{2} \log\left(e x + 1\right) - e {\left(\frac{e x^{2} - 2 \, x}{e^{2}} + \frac{2 \, \log\left(e x + 1\right)}{e^{3}}\right)}\right)} a^{2} b e^{2} \log\left(c\right) + {\left(2 \, x^{2} \log\left(e x + 1\right) - e {\left(\frac{e x^{2} - 2 \, x}{e^{2}} + \frac{2 \, \log\left(e x + 1\right)}{e^{3}}\right)}\right)} a^{3} e^{2} + \int \frac{3 \, {\left(4 \, {\left(b^{3} e^{2} \log\left(c\right)^{2} + 2 \, a b^{2} e^{2} \log\left(c\right) + a^{2} b e^{2}\right)} x^{2} \log\left(e x + 1\right) \log\left(x^{n}\right) + {\left(b^{3} e^{2} n x^{2} - 2 \, b^{3} e n x + 2 \, {\left(b^{3} n + {\left(2 \, a b^{2} e^{2} - {\left(e^{2} n - 2 \, e^{2} \log\left(c\right)\right)} b^{3}\right)} x^{2}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{2}\right)}}{x}\,{d x}}{4 \, e^{2}}"," ",0,"-1/4*(b^3*e^2*x^2 - 2*b^3*e*x - 2*(b^3*e^2*x^2 - b^3)*log(e*x + 1))*log(x^n)^3/e^2 + 1/4*integrate((12*(b^3*e^2*log(c)^2 + 2*a*b^2*e^2*log(c) + a^2*b*e^2)*x^2*log(e*x + 1)*log(x^n) + 4*(b^3*e^2*log(c)^3 + 3*a*b^2*e^2*log(c)^2 + 3*a^2*b*e^2*log(c) + a^3*e^2)*x^2*log(e*x + 1) + 3*(b^3*e^2*n*x^2 - 2*b^3*e*n*x + 2*(b^3*n + (2*a*b^2*e^2 - (e^2*n - 2*e^2*log(c))*b^3)*x^2)*log(e*x + 1))*log(x^n)^2)/x, x)/e^2","F",0
20,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(e*x+1),x, algorithm=""maxima"")","-\frac{{\left(b^{3} e x - {\left(b^{3} e x + b^{3}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{3}}{e} + \frac{-{\left(e x - {\left(e x + 1\right)} \log\left(e x + 1\right) + 1\right)} b^{3} \log\left(c\right)^{3} - 3 \, {\left(e x - {\left(e x + 1\right)} \log\left(e x + 1\right) + 1\right)} a b^{2} \log\left(c\right)^{2} - 3 \, {\left(e x - {\left(e x + 1\right)} \log\left(e x + 1\right) + 1\right)} a^{2} b \log\left(c\right) - {\left(e x - {\left(e x + 1\right)} \log\left(e x + 1\right) + 1\right)} a^{3} + \int \frac{3 \, {\left({\left(b^{3} e \log\left(c\right)^{2} + 2 \, a b^{2} e \log\left(c\right) + a^{2} b e\right)} x \log\left(e x + 1\right) \log\left(x^{n}\right) + {\left(b^{3} e n x - {\left(b^{3} n + {\left({\left(e n - e \log\left(c\right)\right)} b^{3} - a b^{2} e\right)} x\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{2}\right)}}{x}\,{d x}}{e}"," ",0,"-(b^3*e*x - (b^3*e*x + b^3)*log(e*x + 1))*log(x^n)^3/e + integrate((3*(b^3*e*log(c)^2 + 2*a*b^2*e*log(c) + a^2*b*e)*x*log(e*x + 1)*log(x^n) + (b^3*e*log(c)^3 + 3*a*b^2*e*log(c)^2 + 3*a^2*b*e*log(c) + a^3*e)*x*log(e*x + 1) + 3*(b^3*e*n*x - (b^3*n + ((e*n - e*log(c))*b^3 - a*b^2*e)*x)*log(e*x + 1))*log(x^n)^2)/x, x)/e","F",0
21,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(e*x+1)/x,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3} \log\left(e x + 1\right)}{x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3*log(e*x + 1)/x, x)","F",0
22,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(e*x+1)/x^2,x, algorithm=""maxima"")","\frac{{\left(b^{3} e x \log\left(x\right) - {\left(b^{3} e x + b^{3}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{3}}{x} + \int \frac{3 \, {\left(b^{3} \log\left(c\right)^{2} + 2 \, a b^{2} \log\left(c\right) + a^{2} b\right)} \log\left(e x + 1\right) \log\left(x^{n}\right) - 3 \, {\left(b^{3} e n x \log\left(x\right) - {\left(b^{3} e n x + b^{3} {\left(n + \log\left(c\right)\right)} + a b^{2}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{2} + {\left(b^{3} \log\left(c\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + a^{3}\right)} \log\left(e x + 1\right)}{x^{2}}\,{d x}"," ",0,"(b^3*e*x*log(x) - (b^3*e*x + b^3)*log(e*x + 1))*log(x^n)^3/x + integrate((3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(e*x + 1)*log(x^n) - 3*(b^3*e*n*x*log(x) - (b^3*e*n*x + b^3*(n + log(c)) + a*b^2)*log(e*x + 1))*log(x^n)^2 + (b^3*log(c)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + a^3)*log(e*x + 1))/x^2, x)","F",0
23,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(e*x+1)/x^3,x, algorithm=""maxima"")","-\frac{{\left(b^{3} e^{2} x^{2} \log\left(x\right) + b^{3} e x - {\left(b^{3} e^{2} x^{2} - b^{3}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{3}}{2 \, x^{2}} - \frac{1}{2} \, \int -\frac{6 \, {\left(b^{3} \log\left(c\right)^{2} + 2 \, a b^{2} \log\left(c\right) + a^{2} b\right)} \log\left(e x + 1\right) \log\left(x^{n}\right) + 3 \, {\left(b^{3} e^{2} n x^{2} \log\left(x\right) + b^{3} e n x - {\left(b^{3} e^{2} n x^{2} - b^{3} {\left(n + 2 \, \log\left(c\right)\right)} - 2 \, a b^{2}\right)} \log\left(e x + 1\right)\right)} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{3} \log\left(c\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + a^{3}\right)} \log\left(e x + 1\right)}{x^{3}}\,{d x}"," ",0,"-1/2*(b^3*e^2*x^2*log(x) + b^3*e*x - (b^3*e^2*x^2 - b^3)*log(e*x + 1))*log(x^n)^3/x^2 - 1/2*integrate(-(6*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(e*x + 1)*log(x^n) + 3*(b^3*e^2*n*x^2*log(x) + b^3*e*n*x - (b^3*e^2*n*x^2 - b^3*(n + 2*log(c)) - 2*a*b^2)*log(e*x + 1))*log(x^n)^2 + 2*(b^3*log(c)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + a^3)*log(e*x + 1))/x^3, x)","F",0
24,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))*log(d*(1/d+f*x^2)),x, algorithm=""maxima"")","\frac{1}{16} \, {\left(4 \, b x^{4} \log\left(x^{n}\right) - {\left(b {\left(n - 4 \, \log\left(c\right)\right)} - 4 \, a\right)} x^{4}\right)} \log\left(d f x^{2} + 1\right) - \int \frac{4 \, b d f x^{5} \log\left(x^{n}\right) + {\left(4 \, a d f - {\left(d f n - 4 \, d f \log\left(c\right)\right)} b\right)} x^{5}}{8 \, {\left(d f x^{2} + 1\right)}}\,{d x}"," ",0,"1/16*(4*b*x^4*log(x^n) - (b*(n - 4*log(c)) - 4*a)*x^4)*log(d*f*x^2 + 1) - integrate(1/8*(4*b*d*f*x^5*log(x^n) + (4*a*d*f - (d*f*n - 4*d*f*log(c))*b)*x^5)/(d*f*x^2 + 1), x)","F",0
25,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))*log(d*(1/d+f*x^2)),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(2 \, b x^{2} \log\left(x^{n}\right) - {\left(b {\left(n - 2 \, \log\left(c\right)\right)} - 2 \, a\right)} x^{2}\right)} \log\left(d f x^{2} + 1\right) - \int \frac{2 \, b d f x^{3} \log\left(x^{n}\right) + {\left(2 \, a d f - {\left(d f n - 2 \, d f \log\left(c\right)\right)} b\right)} x^{3}}{2 \, {\left(d f x^{2} + 1\right)}}\,{d x}"," ",0,"1/4*(2*b*x^2*log(x^n) - (b*(n - 2*log(c)) - 2*a)*x^2)*log(d*f*x^2 + 1) - integrate(1/2*(2*b*d*f*x^3*log(x^n) + (2*a*d*f - (d*f*n - 2*d*f*log(c))*b)*x^3)/(d*f*x^2 + 1), x)","F",0
26,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^2))/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(b n \log\left(x\right)^{2} - 2 \, b \log\left(x\right) \log\left(x^{n}\right) - 2 \, {\left(b \log\left(c\right) + a\right)} \log\left(x\right)\right)} \log\left(d f x^{2} + 1\right) - \int -\frac{b d f n x \log\left(x\right)^{2} - 2 \, b d f x \log\left(x\right) \log\left(x^{n}\right) - 2 \, {\left(b d f \log\left(c\right) + a d f\right)} x \log\left(x\right)}{d f x^{2} + 1}\,{d x}"," ",0,"-1/2*(b*n*log(x)^2 - 2*b*log(x)*log(x^n) - 2*(b*log(c) + a)*log(x))*log(d*f*x^2 + 1) - integrate(-(b*d*f*n*x*log(x)^2 - 2*b*d*f*x*log(x)*log(x^n) - 2*(b*d*f*log(c) + a*d*f)*x*log(x))/(d*f*x^2 + 1), x)","F",0
27,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^2))/x^3,x, algorithm=""maxima"")","-\frac{{\left(b {\left(n + 2 \, \log\left(c\right)\right)} + 2 \, b \log\left(x^{n}\right) + 2 \, a\right)} \log\left(d f x^{2} + 1\right)}{4 \, x^{2}} + \int \frac{2 \, b d f \log\left(x^{n}\right) + 2 \, a d f + {\left(d f n + 2 \, d f \log\left(c\right)\right)} b}{2 \, {\left(d f x^{3} + x\right)}}\,{d x}"," ",0,"-1/4*(b*(n + 2*log(c)) + 2*b*log(x^n) + 2*a)*log(d*f*x^2 + 1)/x^2 + integrate(1/2*(2*b*d*f*log(x^n) + 2*a*d*f + (d*f*n + 2*d*f*log(c))*b)/(d*f*x^3 + x), x)","F",0
28,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))*log(d*(1/d+f*x^2)),x, algorithm=""maxima"")","\frac{1}{9} \, {\left(3 \, b x^{3} \log\left(x^{n}\right) - {\left(b {\left(n - 3 \, \log\left(c\right)\right)} - 3 \, a\right)} x^{3}\right)} \log\left(d f x^{2} + 1\right) - \int \frac{2 \, {\left(3 \, b d f x^{4} \log\left(x^{n}\right) + {\left(3 \, a d f - {\left(d f n - 3 \, d f \log\left(c\right)\right)} b\right)} x^{4}\right)}}{9 \, {\left(d f x^{2} + 1\right)}}\,{d x}"," ",0,"1/9*(3*b*x^3*log(x^n) - (b*(n - 3*log(c)) - 3*a)*x^3)*log(d*f*x^2 + 1) - integrate(2/9*(3*b*d*f*x^4*log(x^n) + (3*a*d*f - (d*f*n - 3*d*f*log(c))*b)*x^4)/(d*f*x^2 + 1), x)","F",0
29,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^2)),x, algorithm=""maxima"")","{\left(b x \log\left(x^{n}\right) - {\left(b {\left(n - \log\left(c\right)\right)} - a\right)} x\right)} \log\left(d f x^{2} + 1\right) - \int \frac{2 \, {\left(b d f x^{2} \log\left(x^{n}\right) + {\left(a d f - {\left(d f n - d f \log\left(c\right)\right)} b\right)} x^{2}\right)}}{d f x^{2} + 1}\,{d x}"," ",0,"(b*x*log(x^n) - (b*(n - log(c)) - a)*x)*log(d*f*x^2 + 1) - integrate(2*(b*d*f*x^2*log(x^n) + (a*d*f - (d*f*n - d*f*log(c))*b)*x^2)/(d*f*x^2 + 1), x)","F",0
30,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^2))/x^2,x, algorithm=""maxima"")","-\frac{{\left(b {\left(n + \log\left(c\right)\right)} + b \log\left(x^{n}\right) + a\right)} \log\left(d f x^{2} + 1\right)}{x} + \int \frac{2 \, {\left(b d f \log\left(x^{n}\right) + a d f + {\left(d f n + d f \log\left(c\right)\right)} b\right)}}{d f x^{2} + 1}\,{d x}"," ",0,"-(b*(n + log(c)) + b*log(x^n) + a)*log(d*f*x^2 + 1)/x + integrate(2*(b*d*f*log(x^n) + a*d*f + (d*f*n + d*f*log(c))*b)/(d*f*x^2 + 1), x)","F",0
31,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^2))/x^4,x, algorithm=""maxima"")","-\frac{{\left(b {\left(n + 3 \, \log\left(c\right)\right)} + 3 \, b \log\left(x^{n}\right) + 3 \, a\right)} \log\left(d f x^{2} + 1\right)}{9 \, x^{3}} + \int \frac{2 \, {\left(3 \, b d f \log\left(x^{n}\right) + 3 \, a d f + {\left(d f n + 3 \, d f \log\left(c\right)\right)} b\right)}}{9 \, {\left(d f x^{4} + x^{2}\right)}}\,{d x}"," ",0,"-1/9*(b*(n + 3*log(c)) + 3*b*log(x^n) + 3*a)*log(d*f*x^2 + 1)/x^3 + integrate(2/9*(3*b*d*f*log(x^n) + 3*a*d*f + (d*f*n + 3*d*f*log(c))*b)/(d*f*x^4 + x^2), x)","F",0
32,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))^2*log(d*(1/d+f*x^2)),x, algorithm=""maxima"")","\frac{1}{32} \, {\left(8 \, b^{2} x^{4} \log\left(x^{n}\right)^{2} - 4 \, {\left(b^{2} {\left(n - 4 \, \log\left(c\right)\right)} - 4 \, a b\right)} x^{4} \log\left(x^{n}\right) + {\left({\left(n^{2} - 4 \, n \log\left(c\right) + 8 \, \log\left(c\right)^{2}\right)} b^{2} - 4 \, a b {\left(n - 4 \, \log\left(c\right)\right)} + 8 \, a^{2}\right)} x^{4}\right)} \log\left(d f x^{2} + 1\right) - \int \frac{8 \, b^{2} d f x^{5} \log\left(x^{n}\right)^{2} + 4 \, {\left(4 \, a b d f - {\left(d f n - 4 \, d f \log\left(c\right)\right)} b^{2}\right)} x^{5} \log\left(x^{n}\right) + {\left(8 \, a^{2} d f - 4 \, {\left(d f n - 4 \, d f \log\left(c\right)\right)} a b + {\left(d f n^{2} - 4 \, d f n \log\left(c\right) + 8 \, d f \log\left(c\right)^{2}\right)} b^{2}\right)} x^{5}}{16 \, {\left(d f x^{2} + 1\right)}}\,{d x}"," ",0,"1/32*(8*b^2*x^4*log(x^n)^2 - 4*(b^2*(n - 4*log(c)) - 4*a*b)*x^4*log(x^n) + ((n^2 - 4*n*log(c) + 8*log(c)^2)*b^2 - 4*a*b*(n - 4*log(c)) + 8*a^2)*x^4)*log(d*f*x^2 + 1) - integrate(1/16*(8*b^2*d*f*x^5*log(x^n)^2 + 4*(4*a*b*d*f - (d*f*n - 4*d*f*log(c))*b^2)*x^5*log(x^n) + (8*a^2*d*f - 4*(d*f*n - 4*d*f*log(c))*a*b + (d*f*n^2 - 4*d*f*n*log(c) + 8*d*f*log(c)^2)*b^2)*x^5)/(d*f*x^2 + 1), x)","F",0
33,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2*log(d*(1/d+f*x^2)),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(2 \, b^{2} x^{2} \log\left(x^{n}\right)^{2} - 2 \, {\left(b^{2} {\left(n - 2 \, \log\left(c\right)\right)} - 2 \, a b\right)} x^{2} \log\left(x^{n}\right) + {\left({\left(n^{2} - 2 \, n \log\left(c\right) + 2 \, \log\left(c\right)^{2}\right)} b^{2} - 2 \, a b {\left(n - 2 \, \log\left(c\right)\right)} + 2 \, a^{2}\right)} x^{2}\right)} \log\left(d f x^{2} + 1\right) - \int \frac{2 \, b^{2} d f x^{3} \log\left(x^{n}\right)^{2} + 2 \, {\left(2 \, a b d f - {\left(d f n - 2 \, d f \log\left(c\right)\right)} b^{2}\right)} x^{3} \log\left(x^{n}\right) + {\left(2 \, a^{2} d f - 2 \, {\left(d f n - 2 \, d f \log\left(c\right)\right)} a b + {\left(d f n^{2} - 2 \, d f n \log\left(c\right) + 2 \, d f \log\left(c\right)^{2}\right)} b^{2}\right)} x^{3}}{2 \, {\left(d f x^{2} + 1\right)}}\,{d x}"," ",0,"1/4*(2*b^2*x^2*log(x^n)^2 - 2*(b^2*(n - 2*log(c)) - 2*a*b)*x^2*log(x^n) + ((n^2 - 2*n*log(c) + 2*log(c)^2)*b^2 - 2*a*b*(n - 2*log(c)) + 2*a^2)*x^2)*log(d*f*x^2 + 1) - integrate(1/2*(2*b^2*d*f*x^3*log(x^n)^2 + 2*(2*a*b*d*f - (d*f*n - 2*d*f*log(c))*b^2)*x^3*log(x^n) + (2*a^2*d*f - 2*(d*f*n - 2*d*f*log(c))*a*b + (d*f*n^2 - 2*d*f*n*log(c) + 2*d*f*log(c)^2)*b^2)*x^3)/(d*f*x^2 + 1), x)","F",0
34,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^2))/x,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(b^{2} n^{2} \log\left(x\right)^{3} + 3 \, b^{2} \log\left(x\right) \log\left(x^{n}\right)^{2} - 3 \, {\left(b^{2} n \log\left(c\right) + a b n\right)} \log\left(x\right)^{2} - 3 \, {\left(b^{2} n \log\left(x\right)^{2} - 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x\right)\right)} \log\left(x^{n}\right) + 3 \, {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + a^{2}\right)} \log\left(x\right)\right)} \log\left(d f x^{2} + 1\right) - \int \frac{2 \, {\left(b^{2} d f n^{2} x \log\left(x\right)^{3} + 3 \, b^{2} d f x \log\left(x\right) \log\left(x^{n}\right)^{2} - 3 \, {\left(b^{2} d f n \log\left(c\right) + a b d f n\right)} x \log\left(x\right)^{2} + 3 \, {\left(b^{2} d f \log\left(c\right)^{2} + 2 \, a b d f \log\left(c\right) + a^{2} d f\right)} x \log\left(x\right) - 3 \, {\left(b^{2} d f n x \log\left(x\right)^{2} - 2 \, {\left(b^{2} d f \log\left(c\right) + a b d f\right)} x \log\left(x\right)\right)} \log\left(x^{n}\right)\right)}}{3 \, {\left(d f x^{2} + 1\right)}}\,{d x}"," ",0,"1/3*(b^2*n^2*log(x)^3 + 3*b^2*log(x)*log(x^n)^2 - 3*(b^2*n*log(c) + a*b*n)*log(x)^2 - 3*(b^2*n*log(x)^2 - 2*(b^2*log(c) + a*b)*log(x))*log(x^n) + 3*(b^2*log(c)^2 + 2*a*b*log(c) + a^2)*log(x))*log(d*f*x^2 + 1) - integrate(2/3*(b^2*d*f*n^2*x*log(x)^3 + 3*b^2*d*f*x*log(x)*log(x^n)^2 - 3*(b^2*d*f*n*log(c) + a*b*d*f*n)*x*log(x)^2 + 3*(b^2*d*f*log(c)^2 + 2*a*b*d*f*log(c) + a^2*d*f)*x*log(x) - 3*(b^2*d*f*n*x*log(x)^2 - 2*(b^2*d*f*log(c) + a*b*d*f)*x*log(x))*log(x^n))/(d*f*x^2 + 1), x)","F",0
35,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^2))/x^3,x, algorithm=""maxima"")","-\frac{{\left(2 \, b^{2} \log\left(x^{n}\right)^{2} + {\left(n^{2} + 2 \, n \log\left(c\right) + 2 \, \log\left(c\right)^{2}\right)} b^{2} + 2 \, a b {\left(n + 2 \, \log\left(c\right)\right)} + 2 \, a^{2} + 2 \, {\left(b^{2} {\left(n + 2 \, \log\left(c\right)\right)} + 2 \, a b\right)} \log\left(x^{n}\right)\right)} \log\left(d f x^{2} + 1\right)}{4 \, x^{2}} + \int \frac{2 \, b^{2} d f \log\left(x^{n}\right)^{2} + 2 \, a^{2} d f + 2 \, {\left(d f n + 2 \, d f \log\left(c\right)\right)} a b + {\left(d f n^{2} + 2 \, d f n \log\left(c\right) + 2 \, d f \log\left(c\right)^{2}\right)} b^{2} + 2 \, {\left(2 \, a b d f + {\left(d f n + 2 \, d f \log\left(c\right)\right)} b^{2}\right)} \log\left(x^{n}\right)}{2 \, {\left(d f x^{3} + x\right)}}\,{d x}"," ",0,"-1/4*(2*b^2*log(x^n)^2 + (n^2 + 2*n*log(c) + 2*log(c)^2)*b^2 + 2*a*b*(n + 2*log(c)) + 2*a^2 + 2*(b^2*(n + 2*log(c)) + 2*a*b)*log(x^n))*log(d*f*x^2 + 1)/x^2 + integrate(1/2*(2*b^2*d*f*log(x^n)^2 + 2*a^2*d*f + 2*(d*f*n + 2*d*f*log(c))*a*b + (d*f*n^2 + 2*d*f*n*log(c) + 2*d*f*log(c)^2)*b^2 + 2*(2*a*b*d*f + (d*f*n + 2*d*f*log(c))*b^2)*log(x^n))/(d*f*x^3 + x), x)","F",0
36,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2*log(d*(1/d+f*x^2)),x, algorithm=""maxima"")","\frac{1}{27} \, {\left(9 \, b^{2} x^{3} \log\left(x^{n}\right)^{2} - 6 \, {\left(b^{2} {\left(n - 3 \, \log\left(c\right)\right)} - 3 \, a b\right)} x^{3} \log\left(x^{n}\right) + {\left({\left(2 \, n^{2} - 6 \, n \log\left(c\right) + 9 \, \log\left(c\right)^{2}\right)} b^{2} - 6 \, a b {\left(n - 3 \, \log\left(c\right)\right)} + 9 \, a^{2}\right)} x^{3}\right)} \log\left(d f x^{2} + 1\right) - \int \frac{2 \, {\left(9 \, b^{2} d f x^{4} \log\left(x^{n}\right)^{2} + 6 \, {\left(3 \, a b d f - {\left(d f n - 3 \, d f \log\left(c\right)\right)} b^{2}\right)} x^{4} \log\left(x^{n}\right) + {\left(9 \, a^{2} d f - 6 \, {\left(d f n - 3 \, d f \log\left(c\right)\right)} a b + {\left(2 \, d f n^{2} - 6 \, d f n \log\left(c\right) + 9 \, d f \log\left(c\right)^{2}\right)} b^{2}\right)} x^{4}\right)}}{27 \, {\left(d f x^{2} + 1\right)}}\,{d x}"," ",0,"1/27*(9*b^2*x^3*log(x^n)^2 - 6*(b^2*(n - 3*log(c)) - 3*a*b)*x^3*log(x^n) + ((2*n^2 - 6*n*log(c) + 9*log(c)^2)*b^2 - 6*a*b*(n - 3*log(c)) + 9*a^2)*x^3)*log(d*f*x^2 + 1) - integrate(2/27*(9*b^2*d*f*x^4*log(x^n)^2 + 6*(3*a*b*d*f - (d*f*n - 3*d*f*log(c))*b^2)*x^4*log(x^n) + (9*a^2*d*f - 6*(d*f*n - 3*d*f*log(c))*a*b + (2*d*f*n^2 - 6*d*f*n*log(c) + 9*d*f*log(c)^2)*b^2)*x^4)/(d*f*x^2 + 1), x)","F",0
37,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^2)),x, algorithm=""maxima"")","{\left(b^{2} x \log\left(x^{n}\right)^{2} - 2 \, {\left(b^{2} {\left(n - \log\left(c\right)\right)} - a b\right)} x \log\left(x^{n}\right) + {\left({\left(2 \, n^{2} - 2 \, n \log\left(c\right) + \log\left(c\right)^{2}\right)} b^{2} - 2 \, a b {\left(n - \log\left(c\right)\right)} + a^{2}\right)} x\right)} \log\left(d f x^{2} + 1\right) - \int \frac{2 \, {\left(b^{2} d f x^{2} \log\left(x^{n}\right)^{2} + 2 \, {\left(a b d f - {\left(d f n - d f \log\left(c\right)\right)} b^{2}\right)} x^{2} \log\left(x^{n}\right) + {\left(a^{2} d f - 2 \, {\left(d f n - d f \log\left(c\right)\right)} a b + {\left(2 \, d f n^{2} - 2 \, d f n \log\left(c\right) + d f \log\left(c\right)^{2}\right)} b^{2}\right)} x^{2}\right)}}{d f x^{2} + 1}\,{d x}"," ",0,"(b^2*x*log(x^n)^2 - 2*(b^2*(n - log(c)) - a*b)*x*log(x^n) + ((2*n^2 - 2*n*log(c) + log(c)^2)*b^2 - 2*a*b*(n - log(c)) + a^2)*x)*log(d*f*x^2 + 1) - integrate(2*(b^2*d*f*x^2*log(x^n)^2 + 2*(a*b*d*f - (d*f*n - d*f*log(c))*b^2)*x^2*log(x^n) + (a^2*d*f - 2*(d*f*n - d*f*log(c))*a*b + (2*d*f*n^2 - 2*d*f*n*log(c) + d*f*log(c)^2)*b^2)*x^2)/(d*f*x^2 + 1), x)","F",0
38,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^2))/x^2,x, algorithm=""maxima"")","-\frac{{\left(b^{2} \log\left(x^{n}\right)^{2} + {\left(2 \, n^{2} + 2 \, n \log\left(c\right) + \log\left(c\right)^{2}\right)} b^{2} + 2 \, a b {\left(n + \log\left(c\right)\right)} + a^{2} + 2 \, {\left(b^{2} {\left(n + \log\left(c\right)\right)} + a b\right)} \log\left(x^{n}\right)\right)} \log\left(d f x^{2} + 1\right)}{x} + \int \frac{2 \, {\left(b^{2} d f \log\left(x^{n}\right)^{2} + a^{2} d f + 2 \, {\left(d f n + d f \log\left(c\right)\right)} a b + {\left(2 \, d f n^{2} + 2 \, d f n \log\left(c\right) + d f \log\left(c\right)^{2}\right)} b^{2} + 2 \, {\left(a b d f + {\left(d f n + d f \log\left(c\right)\right)} b^{2}\right)} \log\left(x^{n}\right)\right)}}{d f x^{2} + 1}\,{d x}"," ",0,"-(b^2*log(x^n)^2 + (2*n^2 + 2*n*log(c) + log(c)^2)*b^2 + 2*a*b*(n + log(c)) + a^2 + 2*(b^2*(n + log(c)) + a*b)*log(x^n))*log(d*f*x^2 + 1)/x + integrate(2*(b^2*d*f*log(x^n)^2 + a^2*d*f + 2*(d*f*n + d*f*log(c))*a*b + (2*d*f*n^2 + 2*d*f*n*log(c) + d*f*log(c)^2)*b^2 + 2*(a*b*d*f + (d*f*n + d*f*log(c))*b^2)*log(x^n))/(d*f*x^2 + 1), x)","F",0
39,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^2))/x^4,x, algorithm=""maxima"")","-\frac{{\left(9 \, b^{2} \log\left(x^{n}\right)^{2} + {\left(2 \, n^{2} + 6 \, n \log\left(c\right) + 9 \, \log\left(c\right)^{2}\right)} b^{2} + 6 \, a b {\left(n + 3 \, \log\left(c\right)\right)} + 9 \, a^{2} + 6 \, {\left(b^{2} {\left(n + 3 \, \log\left(c\right)\right)} + 3 \, a b\right)} \log\left(x^{n}\right)\right)} \log\left(d f x^{2} + 1\right)}{27 \, x^{3}} + \int \frac{2 \, {\left(9 \, b^{2} d f \log\left(x^{n}\right)^{2} + 9 \, a^{2} d f + 6 \, {\left(d f n + 3 \, d f \log\left(c\right)\right)} a b + {\left(2 \, d f n^{2} + 6 \, d f n \log\left(c\right) + 9 \, d f \log\left(c\right)^{2}\right)} b^{2} + 6 \, {\left(3 \, a b d f + {\left(d f n + 3 \, d f \log\left(c\right)\right)} b^{2}\right)} \log\left(x^{n}\right)\right)}}{27 \, {\left(d f x^{4} + x^{2}\right)}}\,{d x}"," ",0,"-1/27*(9*b^2*log(x^n)^2 + (2*n^2 + 6*n*log(c) + 9*log(c)^2)*b^2 + 6*a*b*(n + 3*log(c)) + 9*a^2 + 6*(b^2*(n + 3*log(c)) + 3*a*b)*log(x^n))*log(d*f*x^2 + 1)/x^3 + integrate(2/27*(9*b^2*d*f*log(x^n)^2 + 9*a^2*d*f + 6*(d*f*n + 3*d*f*log(c))*a*b + (2*d*f*n^2 + 6*d*f*n*log(c) + 9*d*f*log(c)^2)*b^2 + 6*(3*a*b*d*f + (d*f*n + 3*d*f*log(c))*b^2)*log(x^n))/(d*f*x^4 + x^2), x)","F",0
40,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))^3*log(d*(1/d+f*x^2)),x, algorithm=""maxima"")","\frac{1}{128} \, {\left(32 \, b^{3} x^{4} \log\left(x^{n}\right)^{3} - 24 \, {\left(b^{3} {\left(n - 4 \, \log\left(c\right)\right)} - 4 \, a b^{2}\right)} x^{4} \log\left(x^{n}\right)^{2} + 12 \, {\left({\left(n^{2} - 4 \, n \log\left(c\right) + 8 \, \log\left(c\right)^{2}\right)} b^{3} - 4 \, a b^{2} {\left(n - 4 \, \log\left(c\right)\right)} + 8 \, a^{2} b\right)} x^{4} \log\left(x^{n}\right) + {\left(12 \, {\left(n^{2} - 4 \, n \log\left(c\right) + 8 \, \log\left(c\right)^{2}\right)} a b^{2} - {\left(3 \, n^{3} - 12 \, n^{2} \log\left(c\right) + 24 \, n \log\left(c\right)^{2} - 32 \, \log\left(c\right)^{3}\right)} b^{3} - 24 \, a^{2} b {\left(n - 4 \, \log\left(c\right)\right)} + 32 \, a^{3}\right)} x^{4}\right)} \log\left(d f x^{2} + 1\right) - \int \frac{32 \, b^{3} d f x^{5} \log\left(x^{n}\right)^{3} + 24 \, {\left(4 \, a b^{2} d f - {\left(d f n - 4 \, d f \log\left(c\right)\right)} b^{3}\right)} x^{5} \log\left(x^{n}\right)^{2} + 12 \, {\left(8 \, a^{2} b d f - 4 \, {\left(d f n - 4 \, d f \log\left(c\right)\right)} a b^{2} + {\left(d f n^{2} - 4 \, d f n \log\left(c\right) + 8 \, d f \log\left(c\right)^{2}\right)} b^{3}\right)} x^{5} \log\left(x^{n}\right) + {\left(32 \, a^{3} d f - 24 \, {\left(d f n - 4 \, d f \log\left(c\right)\right)} a^{2} b + 12 \, {\left(d f n^{2} - 4 \, d f n \log\left(c\right) + 8 \, d f \log\left(c\right)^{2}\right)} a b^{2} - {\left(3 \, d f n^{3} - 12 \, d f n^{2} \log\left(c\right) + 24 \, d f n \log\left(c\right)^{2} - 32 \, d f \log\left(c\right)^{3}\right)} b^{3}\right)} x^{5}}{64 \, {\left(d f x^{2} + 1\right)}}\,{d x}"," ",0,"1/128*(32*b^3*x^4*log(x^n)^3 - 24*(b^3*(n - 4*log(c)) - 4*a*b^2)*x^4*log(x^n)^2 + 12*((n^2 - 4*n*log(c) + 8*log(c)^2)*b^3 - 4*a*b^2*(n - 4*log(c)) + 8*a^2*b)*x^4*log(x^n) + (12*(n^2 - 4*n*log(c) + 8*log(c)^2)*a*b^2 - (3*n^3 - 12*n^2*log(c) + 24*n*log(c)^2 - 32*log(c)^3)*b^3 - 24*a^2*b*(n - 4*log(c)) + 32*a^3)*x^4)*log(d*f*x^2 + 1) - integrate(1/64*(32*b^3*d*f*x^5*log(x^n)^3 + 24*(4*a*b^2*d*f - (d*f*n - 4*d*f*log(c))*b^3)*x^5*log(x^n)^2 + 12*(8*a^2*b*d*f - 4*(d*f*n - 4*d*f*log(c))*a*b^2 + (d*f*n^2 - 4*d*f*n*log(c) + 8*d*f*log(c)^2)*b^3)*x^5*log(x^n) + (32*a^3*d*f - 24*(d*f*n - 4*d*f*log(c))*a^2*b + 12*(d*f*n^2 - 4*d*f*n*log(c) + 8*d*f*log(c)^2)*a*b^2 - (3*d*f*n^3 - 12*d*f*n^2*log(c) + 24*d*f*n*log(c)^2 - 32*d*f*log(c)^3)*b^3)*x^5)/(d*f*x^2 + 1), x)","F",0
41,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^3*log(d*(1/d+f*x^2)),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(4 \, b^{3} x^{2} \log\left(x^{n}\right)^{3} - 6 \, {\left(b^{3} {\left(n - 2 \, \log\left(c\right)\right)} - 2 \, a b^{2}\right)} x^{2} \log\left(x^{n}\right)^{2} + 6 \, {\left({\left(n^{2} - 2 \, n \log\left(c\right) + 2 \, \log\left(c\right)^{2}\right)} b^{3} - 2 \, a b^{2} {\left(n - 2 \, \log\left(c\right)\right)} + 2 \, a^{2} b\right)} x^{2} \log\left(x^{n}\right) + {\left(6 \, {\left(n^{2} - 2 \, n \log\left(c\right) + 2 \, \log\left(c\right)^{2}\right)} a b^{2} - {\left(3 \, n^{3} - 6 \, n^{2} \log\left(c\right) + 6 \, n \log\left(c\right)^{2} - 4 \, \log\left(c\right)^{3}\right)} b^{3} - 6 \, a^{2} b {\left(n - 2 \, \log\left(c\right)\right)} + 4 \, a^{3}\right)} x^{2}\right)} \log\left(d f x^{2} + 1\right) - \int \frac{4 \, b^{3} d f x^{3} \log\left(x^{n}\right)^{3} + 6 \, {\left(2 \, a b^{2} d f - {\left(d f n - 2 \, d f \log\left(c\right)\right)} b^{3}\right)} x^{3} \log\left(x^{n}\right)^{2} + 6 \, {\left(2 \, a^{2} b d f - 2 \, {\left(d f n - 2 \, d f \log\left(c\right)\right)} a b^{2} + {\left(d f n^{2} - 2 \, d f n \log\left(c\right) + 2 \, d f \log\left(c\right)^{2}\right)} b^{3}\right)} x^{3} \log\left(x^{n}\right) + {\left(4 \, a^{3} d f - 6 \, {\left(d f n - 2 \, d f \log\left(c\right)\right)} a^{2} b + 6 \, {\left(d f n^{2} - 2 \, d f n \log\left(c\right) + 2 \, d f \log\left(c\right)^{2}\right)} a b^{2} - {\left(3 \, d f n^{3} - 6 \, d f n^{2} \log\left(c\right) + 6 \, d f n \log\left(c\right)^{2} - 4 \, d f \log\left(c\right)^{3}\right)} b^{3}\right)} x^{3}}{4 \, {\left(d f x^{2} + 1\right)}}\,{d x}"," ",0,"1/8*(4*b^3*x^2*log(x^n)^3 - 6*(b^3*(n - 2*log(c)) - 2*a*b^2)*x^2*log(x^n)^2 + 6*((n^2 - 2*n*log(c) + 2*log(c)^2)*b^3 - 2*a*b^2*(n - 2*log(c)) + 2*a^2*b)*x^2*log(x^n) + (6*(n^2 - 2*n*log(c) + 2*log(c)^2)*a*b^2 - (3*n^3 - 6*n^2*log(c) + 6*n*log(c)^2 - 4*log(c)^3)*b^3 - 6*a^2*b*(n - 2*log(c)) + 4*a^3)*x^2)*log(d*f*x^2 + 1) - integrate(1/4*(4*b^3*d*f*x^3*log(x^n)^3 + 6*(2*a*b^2*d*f - (d*f*n - 2*d*f*log(c))*b^3)*x^3*log(x^n)^2 + 6*(2*a^2*b*d*f - 2*(d*f*n - 2*d*f*log(c))*a*b^2 + (d*f*n^2 - 2*d*f*n*log(c) + 2*d*f*log(c)^2)*b^3)*x^3*log(x^n) + (4*a^3*d*f - 6*(d*f*n - 2*d*f*log(c))*a^2*b + 6*(d*f*n^2 - 2*d*f*n*log(c) + 2*d*f*log(c)^2)*a*b^2 - (3*d*f*n^3 - 6*d*f*n^2*log(c) + 6*d*f*n*log(c)^2 - 4*d*f*log(c)^3)*b^3)*x^3)/(d*f*x^2 + 1), x)","F",0
42,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^2))/x,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(b^{3} n^{3} \log\left(x\right)^{4} - 4 \, b^{3} \log\left(x\right) \log\left(x^{n}\right)^{3} - 4 \, {\left(b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} \log\left(x\right)^{3} + 6 \, {\left(b^{3} n \log\left(c\right)^{2} + 2 \, a b^{2} n \log\left(c\right) + a^{2} b n\right)} \log\left(x\right)^{2} + 6 \, {\left(b^{3} n \log\left(x\right)^{2} - 2 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left(x\right)\right)} \log\left(x^{n}\right)^{2} - 4 \, {\left(b^{3} n^{2} \log\left(x\right)^{3} - 3 \, {\left(b^{3} n \log\left(c\right) + a b^{2} n\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} + 2 \, a b^{2} \log\left(c\right) + a^{2} b\right)} \log\left(x\right)\right)} \log\left(x^{n}\right) - 4 \, {\left(b^{3} \log\left(c\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + a^{3}\right)} \log\left(x\right)\right)} \log\left(d f x^{2} + 1\right) - \int -\frac{b^{3} d f n^{3} x \log\left(x\right)^{4} - 4 \, b^{3} d f x \log\left(x\right) \log\left(x^{n}\right)^{3} - 4 \, {\left(b^{3} d f n^{2} \log\left(c\right) + a b^{2} d f n^{2}\right)} x \log\left(x\right)^{3} + 6 \, {\left(b^{3} d f n \log\left(c\right)^{2} + 2 \, a b^{2} d f n \log\left(c\right) + a^{2} b d f n\right)} x \log\left(x\right)^{2} - 4 \, {\left(b^{3} d f \log\left(c\right)^{3} + 3 \, a b^{2} d f \log\left(c\right)^{2} + 3 \, a^{2} b d f \log\left(c\right) + a^{3} d f\right)} x \log\left(x\right) + 6 \, {\left(b^{3} d f n x \log\left(x\right)^{2} - 2 \, {\left(b^{3} d f \log\left(c\right) + a b^{2} d f\right)} x \log\left(x\right)\right)} \log\left(x^{n}\right)^{2} - 4 \, {\left(b^{3} d f n^{2} x \log\left(x\right)^{3} - 3 \, {\left(b^{3} d f n \log\left(c\right) + a b^{2} d f n\right)} x \log\left(x\right)^{2} + 3 \, {\left(b^{3} d f \log\left(c\right)^{2} + 2 \, a b^{2} d f \log\left(c\right) + a^{2} b d f\right)} x \log\left(x\right)\right)} \log\left(x^{n}\right)}{2 \, {\left(d f x^{2} + 1\right)}}\,{d x}"," ",0,"-1/4*(b^3*n^3*log(x)^4 - 4*b^3*log(x)*log(x^n)^3 - 4*(b^3*n^2*log(c) + a*b^2*n^2)*log(x)^3 + 6*(b^3*n*log(c)^2 + 2*a*b^2*n*log(c) + a^2*b*n)*log(x)^2 + 6*(b^3*n*log(x)^2 - 2*(b^3*log(c) + a*b^2)*log(x))*log(x^n)^2 - 4*(b^3*n^2*log(x)^3 - 3*(b^3*n*log(c) + a*b^2*n)*log(x)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(x))*log(x^n) - 4*(b^3*log(c)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + a^3)*log(x))*log(d*f*x^2 + 1) - integrate(-1/2*(b^3*d*f*n^3*x*log(x)^4 - 4*b^3*d*f*x*log(x)*log(x^n)^3 - 4*(b^3*d*f*n^2*log(c) + a*b^2*d*f*n^2)*x*log(x)^3 + 6*(b^3*d*f*n*log(c)^2 + 2*a*b^2*d*f*n*log(c) + a^2*b*d*f*n)*x*log(x)^2 - 4*(b^3*d*f*log(c)^3 + 3*a*b^2*d*f*log(c)^2 + 3*a^2*b*d*f*log(c) + a^3*d*f)*x*log(x) + 6*(b^3*d*f*n*x*log(x)^2 - 2*(b^3*d*f*log(c) + a*b^2*d*f)*x*log(x))*log(x^n)^2 - 4*(b^3*d*f*n^2*x*log(x)^3 - 3*(b^3*d*f*n*log(c) + a*b^2*d*f*n)*x*log(x)^2 + 3*(b^3*d*f*log(c)^2 + 2*a*b^2*d*f*log(c) + a^2*b*d*f)*x*log(x))*log(x^n))/(d*f*x^2 + 1), x)","F",0
43,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^2))/x^3,x, algorithm=""maxima"")","-\frac{{\left(4 \, b^{3} \log\left(x^{n}\right)^{3} + 6 \, {\left(n^{2} + 2 \, n \log\left(c\right) + 2 \, \log\left(c\right)^{2}\right)} a b^{2} + {\left(3 \, n^{3} + 6 \, n^{2} \log\left(c\right) + 6 \, n \log\left(c\right)^{2} + 4 \, \log\left(c\right)^{3}\right)} b^{3} + 6 \, a^{2} b {\left(n + 2 \, \log\left(c\right)\right)} + 4 \, a^{3} + 6 \, {\left(b^{3} {\left(n + 2 \, \log\left(c\right)\right)} + 2 \, a b^{2}\right)} \log\left(x^{n}\right)^{2} + 6 \, {\left({\left(n^{2} + 2 \, n \log\left(c\right) + 2 \, \log\left(c\right)^{2}\right)} b^{3} + 2 \, a b^{2} {\left(n + 2 \, \log\left(c\right)\right)} + 2 \, a^{2} b\right)} \log\left(x^{n}\right)\right)} \log\left(d f x^{2} + 1\right)}{8 \, x^{2}} + \int \frac{4 \, b^{3} d f \log\left(x^{n}\right)^{3} + 4 \, a^{3} d f + 6 \, {\left(d f n + 2 \, d f \log\left(c\right)\right)} a^{2} b + 6 \, {\left(d f n^{2} + 2 \, d f n \log\left(c\right) + 2 \, d f \log\left(c\right)^{2}\right)} a b^{2} + {\left(3 \, d f n^{3} + 6 \, d f n^{2} \log\left(c\right) + 6 \, d f n \log\left(c\right)^{2} + 4 \, d f \log\left(c\right)^{3}\right)} b^{3} + 6 \, {\left(2 \, a b^{2} d f + {\left(d f n + 2 \, d f \log\left(c\right)\right)} b^{3}\right)} \log\left(x^{n}\right)^{2} + 6 \, {\left(2 \, a^{2} b d f + 2 \, {\left(d f n + 2 \, d f \log\left(c\right)\right)} a b^{2} + {\left(d f n^{2} + 2 \, d f n \log\left(c\right) + 2 \, d f \log\left(c\right)^{2}\right)} b^{3}\right)} \log\left(x^{n}\right)}{4 \, {\left(d f x^{3} + x\right)}}\,{d x}"," ",0,"-1/8*(4*b^3*log(x^n)^3 + 6*(n^2 + 2*n*log(c) + 2*log(c)^2)*a*b^2 + (3*n^3 + 6*n^2*log(c) + 6*n*log(c)^2 + 4*log(c)^3)*b^3 + 6*a^2*b*(n + 2*log(c)) + 4*a^3 + 6*(b^3*(n + 2*log(c)) + 2*a*b^2)*log(x^n)^2 + 6*((n^2 + 2*n*log(c) + 2*log(c)^2)*b^3 + 2*a*b^2*(n + 2*log(c)) + 2*a^2*b)*log(x^n))*log(d*f*x^2 + 1)/x^2 + integrate(1/4*(4*b^3*d*f*log(x^n)^3 + 4*a^3*d*f + 6*(d*f*n + 2*d*f*log(c))*a^2*b + 6*(d*f*n^2 + 2*d*f*n*log(c) + 2*d*f*log(c)^2)*a*b^2 + (3*d*f*n^3 + 6*d*f*n^2*log(c) + 6*d*f*n*log(c)^2 + 4*d*f*log(c)^3)*b^3 + 6*(2*a*b^2*d*f + (d*f*n + 2*d*f*log(c))*b^3)*log(x^n)^2 + 6*(2*a^2*b*d*f + 2*(d*f*n + 2*d*f*log(c))*a*b^2 + (d*f*n^2 + 2*d*f*n*log(c) + 2*d*f*log(c)^2)*b^3)*log(x^n))/(d*f*x^3 + x), x)","F",0
44,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^2)),x, algorithm=""maxima"")","{\left(b^{3} x \log\left(x^{n}\right)^{3} - 3 \, {\left(b^{3} {\left(n - \log\left(c\right)\right)} - a b^{2}\right)} x \log\left(x^{n}\right)^{2} + 3 \, {\left({\left(2 \, n^{2} - 2 \, n \log\left(c\right) + \log\left(c\right)^{2}\right)} b^{3} - 2 \, a b^{2} {\left(n - \log\left(c\right)\right)} + a^{2} b\right)} x \log\left(x^{n}\right) + {\left(3 \, {\left(2 \, n^{2} - 2 \, n \log\left(c\right) + \log\left(c\right)^{2}\right)} a b^{2} - {\left(6 \, n^{3} - 6 \, n^{2} \log\left(c\right) + 3 \, n \log\left(c\right)^{2} - \log\left(c\right)^{3}\right)} b^{3} - 3 \, a^{2} b {\left(n - \log\left(c\right)\right)} + a^{3}\right)} x\right)} \log\left(d f x^{2} + 1\right) - \int \frac{2 \, {\left(b^{3} d f x^{2} \log\left(x^{n}\right)^{3} + 3 \, {\left(a b^{2} d f - {\left(d f n - d f \log\left(c\right)\right)} b^{3}\right)} x^{2} \log\left(x^{n}\right)^{2} + 3 \, {\left(a^{2} b d f - 2 \, {\left(d f n - d f \log\left(c\right)\right)} a b^{2} + {\left(2 \, d f n^{2} - 2 \, d f n \log\left(c\right) + d f \log\left(c\right)^{2}\right)} b^{3}\right)} x^{2} \log\left(x^{n}\right) + {\left(a^{3} d f - 3 \, {\left(d f n - d f \log\left(c\right)\right)} a^{2} b + 3 \, {\left(2 \, d f n^{2} - 2 \, d f n \log\left(c\right) + d f \log\left(c\right)^{2}\right)} a b^{2} - {\left(6 \, d f n^{3} - 6 \, d f n^{2} \log\left(c\right) + 3 \, d f n \log\left(c\right)^{2} - d f \log\left(c\right)^{3}\right)} b^{3}\right)} x^{2}\right)}}{d f x^{2} + 1}\,{d x}"," ",0,"(b^3*x*log(x^n)^3 - 3*(b^3*(n - log(c)) - a*b^2)*x*log(x^n)^2 + 3*((2*n^2 - 2*n*log(c) + log(c)^2)*b^3 - 2*a*b^2*(n - log(c)) + a^2*b)*x*log(x^n) + (3*(2*n^2 - 2*n*log(c) + log(c)^2)*a*b^2 - (6*n^3 - 6*n^2*log(c) + 3*n*log(c)^2 - log(c)^3)*b^3 - 3*a^2*b*(n - log(c)) + a^3)*x)*log(d*f*x^2 + 1) - integrate(2*(b^3*d*f*x^2*log(x^n)^3 + 3*(a*b^2*d*f - (d*f*n - d*f*log(c))*b^3)*x^2*log(x^n)^2 + 3*(a^2*b*d*f - 2*(d*f*n - d*f*log(c))*a*b^2 + (2*d*f*n^2 - 2*d*f*n*log(c) + d*f*log(c)^2)*b^3)*x^2*log(x^n) + (a^3*d*f - 3*(d*f*n - d*f*log(c))*a^2*b + 3*(2*d*f*n^2 - 2*d*f*n*log(c) + d*f*log(c)^2)*a*b^2 - (6*d*f*n^3 - 6*d*f*n^2*log(c) + 3*d*f*n*log(c)^2 - d*f*log(c)^3)*b^3)*x^2)/(d*f*x^2 + 1), x)","F",0
45,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^2))/x^2,x, algorithm=""maxima"")","-\frac{{\left(b^{3} \log\left(x^{n}\right)^{3} + 3 \, {\left(2 \, n^{2} + 2 \, n \log\left(c\right) + \log\left(c\right)^{2}\right)} a b^{2} + {\left(6 \, n^{3} + 6 \, n^{2} \log\left(c\right) + 3 \, n \log\left(c\right)^{2} + \log\left(c\right)^{3}\right)} b^{3} + 3 \, a^{2} b {\left(n + \log\left(c\right)\right)} + a^{3} + 3 \, {\left(b^{3} {\left(n + \log\left(c\right)\right)} + a b^{2}\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left({\left(2 \, n^{2} + 2 \, n \log\left(c\right) + \log\left(c\right)^{2}\right)} b^{3} + 2 \, a b^{2} {\left(n + \log\left(c\right)\right)} + a^{2} b\right)} \log\left(x^{n}\right)\right)} \log\left(d f x^{2} + 1\right)}{x} + \int \frac{2 \, {\left(b^{3} d f \log\left(x^{n}\right)^{3} + a^{3} d f + 3 \, {\left(d f n + d f \log\left(c\right)\right)} a^{2} b + 3 \, {\left(2 \, d f n^{2} + 2 \, d f n \log\left(c\right) + d f \log\left(c\right)^{2}\right)} a b^{2} + {\left(6 \, d f n^{3} + 6 \, d f n^{2} \log\left(c\right) + 3 \, d f n \log\left(c\right)^{2} + d f \log\left(c\right)^{3}\right)} b^{3} + 3 \, {\left(a b^{2} d f + {\left(d f n + d f \log\left(c\right)\right)} b^{3}\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left(a^{2} b d f + 2 \, {\left(d f n + d f \log\left(c\right)\right)} a b^{2} + {\left(2 \, d f n^{2} + 2 \, d f n \log\left(c\right) + d f \log\left(c\right)^{2}\right)} b^{3}\right)} \log\left(x^{n}\right)\right)}}{d f x^{2} + 1}\,{d x}"," ",0,"-(b^3*log(x^n)^3 + 3*(2*n^2 + 2*n*log(c) + log(c)^2)*a*b^2 + (6*n^3 + 6*n^2*log(c) + 3*n*log(c)^2 + log(c)^3)*b^3 + 3*a^2*b*(n + log(c)) + a^3 + 3*(b^3*(n + log(c)) + a*b^2)*log(x^n)^2 + 3*((2*n^2 + 2*n*log(c) + log(c)^2)*b^3 + 2*a*b^2*(n + log(c)) + a^2*b)*log(x^n))*log(d*f*x^2 + 1)/x + integrate(2*(b^3*d*f*log(x^n)^3 + a^3*d*f + 3*(d*f*n + d*f*log(c))*a^2*b + 3*(2*d*f*n^2 + 2*d*f*n*log(c) + d*f*log(c)^2)*a*b^2 + (6*d*f*n^3 + 6*d*f*n^2*log(c) + 3*d*f*n*log(c)^2 + d*f*log(c)^3)*b^3 + 3*(a*b^2*d*f + (d*f*n + d*f*log(c))*b^3)*log(x^n)^2 + 3*(a^2*b*d*f + 2*(d*f*n + d*f*log(c))*a*b^2 + (2*d*f*n^2 + 2*d*f*n*log(c) + d*f*log(c)^2)*b^3)*log(x^n))/(d*f*x^2 + 1), x)","F",0
46,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2))),x, algorithm=""maxima"")","\int {\left(b \log\left(c x^{n}\right) + a\right)} x^{2} \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2*log((f*sqrt(x) + 1/d)*d), x)","F",0
47,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2))),x, algorithm=""maxima"")","\int {\left(b \log\left(c x^{n}\right) + a\right)} x \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x*log((f*sqrt(x) + 1/d)*d), x)","F",0
48,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2))),x, algorithm=""maxima"")","{\left(b x \log\left(x^{n}\right) - {\left(b {\left(n - \log\left(c\right)\right)} - a\right)} x\right)} \log\left(d f \sqrt{x} + 1\right) - \frac{3 \, b d f x^{2} \log\left(x^{n}\right) + {\left(3 \, a d f - {\left(5 \, d f n - 3 \, d f \log\left(c\right)\right)} b\right)} x^{2}}{9 \, \sqrt{x}} + \int \frac{b d^{2} f^{2} x \log\left(x^{n}\right) + {\left(a d^{2} f^{2} - {\left(d^{2} f^{2} n - d^{2} f^{2} \log\left(c\right)\right)} b\right)} x}{2 \, {\left(d f \sqrt{x} + 1\right)}}\,{d x}"," ",0,"(b*x*log(x^n) - (b*(n - log(c)) - a)*x)*log(d*f*sqrt(x) + 1) - 1/9*(3*b*d*f*x^2*log(x^n) + (3*a*d*f - (5*d*f*n - 3*d*f*log(c))*b)*x^2)/sqrt(x) + integrate(1/2*(b*d^2*f^2*x*log(x^n) + (a*d^2*f^2 - (d^2*f^2*n - d^2*f^2*log(c))*b)*x)/(d*f*sqrt(x) + 1), x)","F",0
49,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2)))/x,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)}{x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*log((f*sqrt(x) + 1/d)*d)/x, x)","F",0
50,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2)))/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*log((f*sqrt(x) + 1/d)*d)/x^2, x)","F",0
51,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2)))/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)}{x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*log((f*sqrt(x) + 1/d)*d)/x^3, x)","F",0
52,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^(1/2)))/x^4,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)}{x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*log((f*sqrt(x) + 1/d)*d)/x^4, x)","F",0
53,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2*log(d*(1/d+f*x^(1/2))),x, algorithm=""maxima"")","\int {\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{2} \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x^2*log((f*sqrt(x) + 1/d)*d), x)","F",0
54,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2*log(d*(1/d+f*x^(1/2))),x, algorithm=""maxima"")","\int {\left(b \log\left(c x^{n}\right) + a\right)}^{2} x \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x*log((f*sqrt(x) + 1/d)*d), x)","F",0
55,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^(1/2))),x, algorithm=""maxima"")","{\left(b^{2} x \log\left(x^{n}\right)^{2} - 2 \, {\left(b^{2} {\left(n - \log\left(c\right)\right)} - a b\right)} x \log\left(x^{n}\right) + {\left({\left(2 \, n^{2} - 2 \, n \log\left(c\right) + \log\left(c\right)^{2}\right)} b^{2} - 2 \, a b {\left(n - \log\left(c\right)\right)} + a^{2}\right)} x\right)} \log\left(d f \sqrt{x} + 1\right) - \frac{9 \, b^{2} d f x^{2} \log\left(x^{n}\right)^{2} + 6 \, {\left(3 \, a b d f - {\left(5 \, d f n - 3 \, d f \log\left(c\right)\right)} b^{2}\right)} x^{2} \log\left(x^{n}\right) + {\left(9 \, a^{2} d f - 6 \, {\left(5 \, d f n - 3 \, d f \log\left(c\right)\right)} a b + {\left(38 \, d f n^{2} - 30 \, d f n \log\left(c\right) + 9 \, d f \log\left(c\right)^{2}\right)} b^{2}\right)} x^{2}}{27 \, \sqrt{x}} + \int \frac{b^{2} d^{2} f^{2} x \log\left(x^{n}\right)^{2} + 2 \, {\left(a b d^{2} f^{2} - {\left(d^{2} f^{2} n - d^{2} f^{2} \log\left(c\right)\right)} b^{2}\right)} x \log\left(x^{n}\right) + {\left(a^{2} d^{2} f^{2} - 2 \, {\left(d^{2} f^{2} n - d^{2} f^{2} \log\left(c\right)\right)} a b + {\left(2 \, d^{2} f^{2} n^{2} - 2 \, d^{2} f^{2} n \log\left(c\right) + d^{2} f^{2} \log\left(c\right)^{2}\right)} b^{2}\right)} x}{2 \, {\left(d f \sqrt{x} + 1\right)}}\,{d x}"," ",0,"(b^2*x*log(x^n)^2 - 2*(b^2*(n - log(c)) - a*b)*x*log(x^n) + ((2*n^2 - 2*n*log(c) + log(c)^2)*b^2 - 2*a*b*(n - log(c)) + a^2)*x)*log(d*f*sqrt(x) + 1) - 1/27*(9*b^2*d*f*x^2*log(x^n)^2 + 6*(3*a*b*d*f - (5*d*f*n - 3*d*f*log(c))*b^2)*x^2*log(x^n) + (9*a^2*d*f - 6*(5*d*f*n - 3*d*f*log(c))*a*b + (38*d*f*n^2 - 30*d*f*n*log(c) + 9*d*f*log(c)^2)*b^2)*x^2)/sqrt(x) + integrate(1/2*(b^2*d^2*f^2*x*log(x^n)^2 + 2*(a*b*d^2*f^2 - (d^2*f^2*n - d^2*f^2*log(c))*b^2)*x*log(x^n) + (a^2*d^2*f^2 - 2*(d^2*f^2*n - d^2*f^2*log(c))*a*b + (2*d^2*f^2*n^2 - 2*d^2*f^2*n*log(c) + d^2*f^2*log(c)^2)*b^2)*x)/(d*f*sqrt(x) + 1), x)","F",0
56,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^(1/2)))/x,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)}{x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*log((f*sqrt(x) + 1/d)*d)/x, x)","F",0
57,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^(1/2)))/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*log((f*sqrt(x) + 1/d)*d)/x^2, x)","F",0
58,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^(1/2)))/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)}{x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*log((f*sqrt(x) + 1/d)*d)/x^3, x)","F",0
59,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^3*log(d*(1/d+f*x^(1/2))),x, algorithm=""maxima"")","\int {\left(b \log\left(c x^{n}\right) + a\right)}^{3} x \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3*x*log((f*sqrt(x) + 1/d)*d), x)","F",0
60,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^(1/2))),x, algorithm=""maxima"")","{\left(b^{3} x \log\left(x^{n}\right)^{3} - 3 \, {\left(b^{3} {\left(n - \log\left(c\right)\right)} - a b^{2}\right)} x \log\left(x^{n}\right)^{2} + 3 \, {\left({\left(2 \, n^{2} - 2 \, n \log\left(c\right) + \log\left(c\right)^{2}\right)} b^{3} - 2 \, a b^{2} {\left(n - \log\left(c\right)\right)} + a^{2} b\right)} x \log\left(x^{n}\right) + {\left(3 \, {\left(2 \, n^{2} - 2 \, n \log\left(c\right) + \log\left(c\right)^{2}\right)} a b^{2} - {\left(6 \, n^{3} - 6 \, n^{2} \log\left(c\right) + 3 \, n \log\left(c\right)^{2} - \log\left(c\right)^{3}\right)} b^{3} - 3 \, a^{2} b {\left(n - \log\left(c\right)\right)} + a^{3}\right)} x\right)} \log\left(d f \sqrt{x} + 1\right) - \frac{9 \, b^{3} d f x^{2} \log\left(x^{n}\right)^{3} + 9 \, {\left(3 \, a b^{2} d f - {\left(5 \, d f n - 3 \, d f \log\left(c\right)\right)} b^{3}\right)} x^{2} \log\left(x^{n}\right)^{2} + 3 \, {\left(9 \, a^{2} b d f - 6 \, {\left(5 \, d f n - 3 \, d f \log\left(c\right)\right)} a b^{2} + {\left(38 \, d f n^{2} - 30 \, d f n \log\left(c\right) + 9 \, d f \log\left(c\right)^{2}\right)} b^{3}\right)} x^{2} \log\left(x^{n}\right) + {\left(9 \, a^{3} d f - 9 \, {\left(5 \, d f n - 3 \, d f \log\left(c\right)\right)} a^{2} b + 3 \, {\left(38 \, d f n^{2} - 30 \, d f n \log\left(c\right) + 9 \, d f \log\left(c\right)^{2}\right)} a b^{2} - {\left(130 \, d f n^{3} - 114 \, d f n^{2} \log\left(c\right) + 45 \, d f n \log\left(c\right)^{2} - 9 \, d f \log\left(c\right)^{3}\right)} b^{3}\right)} x^{2}}{27 \, \sqrt{x}} + \int \frac{b^{3} d^{2} f^{2} x \log\left(x^{n}\right)^{3} + 3 \, {\left(a b^{2} d^{2} f^{2} - {\left(d^{2} f^{2} n - d^{2} f^{2} \log\left(c\right)\right)} b^{3}\right)} x \log\left(x^{n}\right)^{2} + 3 \, {\left(a^{2} b d^{2} f^{2} - 2 \, {\left(d^{2} f^{2} n - d^{2} f^{2} \log\left(c\right)\right)} a b^{2} + {\left(2 \, d^{2} f^{2} n^{2} - 2 \, d^{2} f^{2} n \log\left(c\right) + d^{2} f^{2} \log\left(c\right)^{2}\right)} b^{3}\right)} x \log\left(x^{n}\right) + {\left(a^{3} d^{2} f^{2} - 3 \, {\left(d^{2} f^{2} n - d^{2} f^{2} \log\left(c\right)\right)} a^{2} b + 3 \, {\left(2 \, d^{2} f^{2} n^{2} - 2 \, d^{2} f^{2} n \log\left(c\right) + d^{2} f^{2} \log\left(c\right)^{2}\right)} a b^{2} - {\left(6 \, d^{2} f^{2} n^{3} - 6 \, d^{2} f^{2} n^{2} \log\left(c\right) + 3 \, d^{2} f^{2} n \log\left(c\right)^{2} - d^{2} f^{2} \log\left(c\right)^{3}\right)} b^{3}\right)} x}{2 \, {\left(d f \sqrt{x} + 1\right)}}\,{d x}"," ",0,"(b^3*x*log(x^n)^3 - 3*(b^3*(n - log(c)) - a*b^2)*x*log(x^n)^2 + 3*((2*n^2 - 2*n*log(c) + log(c)^2)*b^3 - 2*a*b^2*(n - log(c)) + a^2*b)*x*log(x^n) + (3*(2*n^2 - 2*n*log(c) + log(c)^2)*a*b^2 - (6*n^3 - 6*n^2*log(c) + 3*n*log(c)^2 - log(c)^3)*b^3 - 3*a^2*b*(n - log(c)) + a^3)*x)*log(d*f*sqrt(x) + 1) - 1/27*(9*b^3*d*f*x^2*log(x^n)^3 + 9*(3*a*b^2*d*f - (5*d*f*n - 3*d*f*log(c))*b^3)*x^2*log(x^n)^2 + 3*(9*a^2*b*d*f - 6*(5*d*f*n - 3*d*f*log(c))*a*b^2 + (38*d*f*n^2 - 30*d*f*n*log(c) + 9*d*f*log(c)^2)*b^3)*x^2*log(x^n) + (9*a^3*d*f - 9*(5*d*f*n - 3*d*f*log(c))*a^2*b + 3*(38*d*f*n^2 - 30*d*f*n*log(c) + 9*d*f*log(c)^2)*a*b^2 - (130*d*f*n^3 - 114*d*f*n^2*log(c) + 45*d*f*n*log(c)^2 - 9*d*f*log(c)^3)*b^3)*x^2)/sqrt(x) + integrate(1/2*(b^3*d^2*f^2*x*log(x^n)^3 + 3*(a*b^2*d^2*f^2 - (d^2*f^2*n - d^2*f^2*log(c))*b^3)*x*log(x^n)^2 + 3*(a^2*b*d^2*f^2 - 2*(d^2*f^2*n - d^2*f^2*log(c))*a*b^2 + (2*d^2*f^2*n^2 - 2*d^2*f^2*n*log(c) + d^2*f^2*log(c)^2)*b^3)*x*log(x^n) + (a^3*d^2*f^2 - 3*(d^2*f^2*n - d^2*f^2*log(c))*a^2*b + 3*(2*d^2*f^2*n^2 - 2*d^2*f^2*n*log(c) + d^2*f^2*log(c)^2)*a*b^2 - (6*d^2*f^2*n^3 - 6*d^2*f^2*n^2*log(c) + 3*d^2*f^2*n*log(c)^2 - d^2*f^2*log(c)^3)*b^3)*x)/(d*f*sqrt(x) + 1), x)","F",0
61,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^(1/2)))/x,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3} \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)}{x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3*log((f*sqrt(x) + 1/d)*d)/x, x)","F",0
62,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^(1/2)))/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3} \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3*log((f*sqrt(x) + 1/d)*d)/x^2, x)","F",0
63,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^(1/2)))/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3} \log\left({\left(f \sqrt{x} + \frac{1}{d}\right)} d\right)}{x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3*log((f*sqrt(x) + 1/d)*d)/x^3, x)","F",0
64,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^4*log(d*(1/d+f*x^m))/x,x, algorithm=""maxima"")","\frac{1}{5} \, {\left(b^{4} n^{4} \log\left(x\right)^{5} + 5 \, b^{4} \log\left(x\right) \log\left(x^{n}\right)^{4} - 5 \, {\left(b^{4} n^{3} \log\left(c\right) + a b^{3} n^{3}\right)} \log\left(x\right)^{4} + 10 \, {\left(b^{4} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} n^{2} \log\left(c\right) + a^{2} b^{2} n^{2}\right)} \log\left(x\right)^{3} - 10 \, {\left(b^{4} n \log\left(x\right)^{2} - 2 \, {\left(b^{4} \log\left(c\right) + a b^{3}\right)} \log\left(x\right)\right)} \log\left(x^{n}\right)^{3} + 10 \, {\left(b^{4} n^{2} \log\left(x\right)^{3} - 3 \, {\left(b^{4} n \log\left(c\right) + a b^{3} n\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{4} \log\left(c\right)^{2} + 2 \, a b^{3} \log\left(c\right) + a^{2} b^{2}\right)} \log\left(x\right)\right)} \log\left(x^{n}\right)^{2} - 10 \, {\left(b^{4} n \log\left(c\right)^{3} + 3 \, a b^{3} n \log\left(c\right)^{2} + 3 \, a^{2} b^{2} n \log\left(c\right) + a^{3} b n\right)} \log\left(x\right)^{2} - 5 \, {\left(b^{4} n^{3} \log\left(x\right)^{4} - 4 \, {\left(b^{4} n^{2} \log\left(c\right) + a b^{3} n^{2}\right)} \log\left(x\right)^{3} + 6 \, {\left(b^{4} n \log\left(c\right)^{2} + 2 \, a b^{3} n \log\left(c\right) + a^{2} b^{2} n\right)} \log\left(x\right)^{2} - 4 \, {\left(b^{4} \log\left(c\right)^{3} + 3 \, a b^{3} \log\left(c\right)^{2} + 3 \, a^{2} b^{2} \log\left(c\right) + a^{3} b\right)} \log\left(x\right)\right)} \log\left(x^{n}\right) + 5 \, {\left(b^{4} \log\left(c\right)^{4} + 4 \, a b^{3} \log\left(c\right)^{3} + 6 \, a^{2} b^{2} \log\left(c\right)^{2} + 4 \, a^{3} b \log\left(c\right) + a^{4}\right)} \log\left(x\right)\right)} \log\left(d f x^{m} + 1\right) - \int \frac{5 \, b^{4} d f m x^{m} \log\left(x\right) \log\left(x^{n}\right)^{4} - 10 \, {\left(b^{4} d f m n \log\left(x\right)^{2} - 2 \, {\left(b^{4} d f m \log\left(c\right) + a b^{3} d f m\right)} \log\left(x\right)\right)} x^{m} \log\left(x^{n}\right)^{3} + 10 \, {\left(b^{4} d f m n^{2} \log\left(x\right)^{3} - 3 \, {\left(b^{4} d f m n \log\left(c\right) + a b^{3} d f m n\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{4} d f m \log\left(c\right)^{2} + 2 \, a b^{3} d f m \log\left(c\right) + a^{2} b^{2} d f m\right)} \log\left(x\right)\right)} x^{m} \log\left(x^{n}\right)^{2} - 5 \, {\left(b^{4} d f m n^{3} \log\left(x\right)^{4} - 4 \, {\left(b^{4} d f m n^{2} \log\left(c\right) + a b^{3} d f m n^{2}\right)} \log\left(x\right)^{3} + 6 \, {\left(b^{4} d f m n \log\left(c\right)^{2} + 2 \, a b^{3} d f m n \log\left(c\right) + a^{2} b^{2} d f m n\right)} \log\left(x\right)^{2} - 4 \, {\left(b^{4} d f m \log\left(c\right)^{3} + 3 \, a b^{3} d f m \log\left(c\right)^{2} + 3 \, a^{2} b^{2} d f m \log\left(c\right) + a^{3} b d f m\right)} \log\left(x\right)\right)} x^{m} \log\left(x^{n}\right) + {\left(b^{4} d f m n^{4} \log\left(x\right)^{5} - 5 \, {\left(b^{4} d f m n^{3} \log\left(c\right) + a b^{3} d f m n^{3}\right)} \log\left(x\right)^{4} + 10 \, {\left(b^{4} d f m n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} d f m n^{2} \log\left(c\right) + a^{2} b^{2} d f m n^{2}\right)} \log\left(x\right)^{3} - 10 \, {\left(b^{4} d f m n \log\left(c\right)^{3} + 3 \, a b^{3} d f m n \log\left(c\right)^{2} + 3 \, a^{2} b^{2} d f m n \log\left(c\right) + a^{3} b d f m n\right)} \log\left(x\right)^{2} + 5 \, {\left(b^{4} d f m \log\left(c\right)^{4} + 4 \, a b^{3} d f m \log\left(c\right)^{3} + 6 \, a^{2} b^{2} d f m \log\left(c\right)^{2} + 4 \, a^{3} b d f m \log\left(c\right) + a^{4} d f m\right)} \log\left(x\right)\right)} x^{m}}{5 \, {\left(d f x x^{m} + x\right)}}\,{d x}"," ",0,"1/5*(b^4*n^4*log(x)^5 + 5*b^4*log(x)*log(x^n)^4 - 5*(b^4*n^3*log(c) + a*b^3*n^3)*log(x)^4 + 10*(b^4*n^2*log(c)^2 + 2*a*b^3*n^2*log(c) + a^2*b^2*n^2)*log(x)^3 - 10*(b^4*n*log(x)^2 - 2*(b^4*log(c) + a*b^3)*log(x))*log(x^n)^3 + 10*(b^4*n^2*log(x)^3 - 3*(b^4*n*log(c) + a*b^3*n)*log(x)^2 + 3*(b^4*log(c)^2 + 2*a*b^3*log(c) + a^2*b^2)*log(x))*log(x^n)^2 - 10*(b^4*n*log(c)^3 + 3*a*b^3*n*log(c)^2 + 3*a^2*b^2*n*log(c) + a^3*b*n)*log(x)^2 - 5*(b^4*n^3*log(x)^4 - 4*(b^4*n^2*log(c) + a*b^3*n^2)*log(x)^3 + 6*(b^4*n*log(c)^2 + 2*a*b^3*n*log(c) + a^2*b^2*n)*log(x)^2 - 4*(b^4*log(c)^3 + 3*a*b^3*log(c)^2 + 3*a^2*b^2*log(c) + a^3*b)*log(x))*log(x^n) + 5*(b^4*log(c)^4 + 4*a*b^3*log(c)^3 + 6*a^2*b^2*log(c)^2 + 4*a^3*b*log(c) + a^4)*log(x))*log(d*f*x^m + 1) - integrate(1/5*(5*b^4*d*f*m*x^m*log(x)*log(x^n)^4 - 10*(b^4*d*f*m*n*log(x)^2 - 2*(b^4*d*f*m*log(c) + a*b^3*d*f*m)*log(x))*x^m*log(x^n)^3 + 10*(b^4*d*f*m*n^2*log(x)^3 - 3*(b^4*d*f*m*n*log(c) + a*b^3*d*f*m*n)*log(x)^2 + 3*(b^4*d*f*m*log(c)^2 + 2*a*b^3*d*f*m*log(c) + a^2*b^2*d*f*m)*log(x))*x^m*log(x^n)^2 - 5*(b^4*d*f*m*n^3*log(x)^4 - 4*(b^4*d*f*m*n^2*log(c) + a*b^3*d*f*m*n^2)*log(x)^3 + 6*(b^4*d*f*m*n*log(c)^2 + 2*a*b^3*d*f*m*n*log(c) + a^2*b^2*d*f*m*n)*log(x)^2 - 4*(b^4*d*f*m*log(c)^3 + 3*a*b^3*d*f*m*log(c)^2 + 3*a^2*b^2*d*f*m*log(c) + a^3*b*d*f*m)*log(x))*x^m*log(x^n) + (b^4*d*f*m*n^4*log(x)^5 - 5*(b^4*d*f*m*n^3*log(c) + a*b^3*d*f*m*n^3)*log(x)^4 + 10*(b^4*d*f*m*n^2*log(c)^2 + 2*a*b^3*d*f*m*n^2*log(c) + a^2*b^2*d*f*m*n^2)*log(x)^3 - 10*(b^4*d*f*m*n*log(c)^3 + 3*a*b^3*d*f*m*n*log(c)^2 + 3*a^2*b^2*d*f*m*n*log(c) + a^3*b*d*f*m*n)*log(x)^2 + 5*(b^4*d*f*m*log(c)^4 + 4*a*b^3*d*f*m*log(c)^3 + 6*a^2*b^2*d*f*m*log(c)^2 + 4*a^3*b*d*f*m*log(c) + a^4*d*f*m)*log(x))*x^m)/(d*f*x*x^m + x), x)","F",0
65,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(1/d+f*x^m))/x,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(b^{3} n^{3} \log\left(x\right)^{4} - 4 \, b^{3} \log\left(x\right) \log\left(x^{n}\right)^{3} - 4 \, {\left(b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} \log\left(x\right)^{3} + 6 \, {\left(b^{3} n \log\left(c\right)^{2} + 2 \, a b^{2} n \log\left(c\right) + a^{2} b n\right)} \log\left(x\right)^{2} + 6 \, {\left(b^{3} n \log\left(x\right)^{2} - 2 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left(x\right)\right)} \log\left(x^{n}\right)^{2} - 4 \, {\left(b^{3} n^{2} \log\left(x\right)^{3} - 3 \, {\left(b^{3} n \log\left(c\right) + a b^{2} n\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} + 2 \, a b^{2} \log\left(c\right) + a^{2} b\right)} \log\left(x\right)\right)} \log\left(x^{n}\right) - 4 \, {\left(b^{3} \log\left(c\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + a^{3}\right)} \log\left(x\right)\right)} \log\left(d f x^{m} + 1\right) - \int \frac{4 \, b^{3} d f m x^{m} \log\left(x\right) \log\left(x^{n}\right)^{3} - 6 \, {\left(b^{3} d f m n \log\left(x\right)^{2} - 2 \, {\left(b^{3} d f m \log\left(c\right) + a b^{2} d f m\right)} \log\left(x\right)\right)} x^{m} \log\left(x^{n}\right)^{2} + 4 \, {\left(b^{3} d f m n^{2} \log\left(x\right)^{3} - 3 \, {\left(b^{3} d f m n \log\left(c\right) + a b^{2} d f m n\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} d f m \log\left(c\right)^{2} + 2 \, a b^{2} d f m \log\left(c\right) + a^{2} b d f m\right)} \log\left(x\right)\right)} x^{m} \log\left(x^{n}\right) - {\left(b^{3} d f m n^{3} \log\left(x\right)^{4} - 4 \, {\left(b^{3} d f m n^{2} \log\left(c\right) + a b^{2} d f m n^{2}\right)} \log\left(x\right)^{3} + 6 \, {\left(b^{3} d f m n \log\left(c\right)^{2} + 2 \, a b^{2} d f m n \log\left(c\right) + a^{2} b d f m n\right)} \log\left(x\right)^{2} - 4 \, {\left(b^{3} d f m \log\left(c\right)^{3} + 3 \, a b^{2} d f m \log\left(c\right)^{2} + 3 \, a^{2} b d f m \log\left(c\right) + a^{3} d f m\right)} \log\left(x\right)\right)} x^{m}}{4 \, {\left(d f x x^{m} + x\right)}}\,{d x}"," ",0,"-1/4*(b^3*n^3*log(x)^4 - 4*b^3*log(x)*log(x^n)^3 - 4*(b^3*n^2*log(c) + a*b^2*n^2)*log(x)^3 + 6*(b^3*n*log(c)^2 + 2*a*b^2*n*log(c) + a^2*b*n)*log(x)^2 + 6*(b^3*n*log(x)^2 - 2*(b^3*log(c) + a*b^2)*log(x))*log(x^n)^2 - 4*(b^3*n^2*log(x)^3 - 3*(b^3*n*log(c) + a*b^2*n)*log(x)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(x))*log(x^n) - 4*(b^3*log(c)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + a^3)*log(x))*log(d*f*x^m + 1) - integrate(1/4*(4*b^3*d*f*m*x^m*log(x)*log(x^n)^3 - 6*(b^3*d*f*m*n*log(x)^2 - 2*(b^3*d*f*m*log(c) + a*b^2*d*f*m)*log(x))*x^m*log(x^n)^2 + 4*(b^3*d*f*m*n^2*log(x)^3 - 3*(b^3*d*f*m*n*log(c) + a*b^2*d*f*m*n)*log(x)^2 + 3*(b^3*d*f*m*log(c)^2 + 2*a*b^2*d*f*m*log(c) + a^2*b*d*f*m)*log(x))*x^m*log(x^n) - (b^3*d*f*m*n^3*log(x)^4 - 4*(b^3*d*f*m*n^2*log(c) + a*b^2*d*f*m*n^2)*log(x)^3 + 6*(b^3*d*f*m*n*log(c)^2 + 2*a*b^2*d*f*m*n*log(c) + a^2*b*d*f*m*n)*log(x)^2 - 4*(b^3*d*f*m*log(c)^3 + 3*a*b^2*d*f*m*log(c)^2 + 3*a^2*b*d*f*m*log(c) + a^3*d*f*m)*log(x))*x^m)/(d*f*x*x^m + x), x)","F",0
66,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(1/d+f*x^m))/x,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(b^{2} n^{2} \log\left(x\right)^{3} + 3 \, b^{2} \log\left(x\right) \log\left(x^{n}\right)^{2} - 3 \, {\left(b^{2} n \log\left(c\right) + a b n\right)} \log\left(x\right)^{2} - 3 \, {\left(b^{2} n \log\left(x\right)^{2} - 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x\right)\right)} \log\left(x^{n}\right) + 3 \, {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + a^{2}\right)} \log\left(x\right)\right)} \log\left(d f x^{m} + 1\right) - \int \frac{3 \, b^{2} d f m x^{m} \log\left(x\right) \log\left(x^{n}\right)^{2} - 3 \, {\left(b^{2} d f m n \log\left(x\right)^{2} - 2 \, {\left(b^{2} d f m \log\left(c\right) + a b d f m\right)} \log\left(x\right)\right)} x^{m} \log\left(x^{n}\right) + {\left(b^{2} d f m n^{2} \log\left(x\right)^{3} - 3 \, {\left(b^{2} d f m n \log\left(c\right) + a b d f m n\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{2} d f m \log\left(c\right)^{2} + 2 \, a b d f m \log\left(c\right) + a^{2} d f m\right)} \log\left(x\right)\right)} x^{m}}{3 \, {\left(d f x x^{m} + x\right)}}\,{d x}"," ",0,"1/3*(b^2*n^2*log(x)^3 + 3*b^2*log(x)*log(x^n)^2 - 3*(b^2*n*log(c) + a*b*n)*log(x)^2 - 3*(b^2*n*log(x)^2 - 2*(b^2*log(c) + a*b)*log(x))*log(x^n) + 3*(b^2*log(c)^2 + 2*a*b*log(c) + a^2)*log(x))*log(d*f*x^m + 1) - integrate(1/3*(3*b^2*d*f*m*x^m*log(x)*log(x^n)^2 - 3*(b^2*d*f*m*n*log(x)^2 - 2*(b^2*d*f*m*log(c) + a*b*d*f*m)*log(x))*x^m*log(x^n) + (b^2*d*f*m*n^2*log(x)^3 - 3*(b^2*d*f*m*n*log(c) + a*b*d*f*m*n)*log(x)^2 + 3*(b^2*d*f*m*log(c)^2 + 2*a*b*d*f*m*log(c) + a^2*d*f*m)*log(x))*x^m)/(d*f*x*x^m + x), x)","F",0
67,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(1/d+f*x^m))/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(b n \log\left(x\right)^{2} - 2 \, b \log\left(x\right) \log\left(x^{n}\right) - 2 \, {\left(b \log\left(c\right) + a\right)} \log\left(x\right)\right)} \log\left(d f x^{m} + 1\right) - \int \frac{2 \, b d f m x^{m} \log\left(x\right) \log\left(x^{n}\right) - {\left(b d f m n \log\left(x\right)^{2} - 2 \, {\left(b d f m \log\left(c\right) + a d f m\right)} \log\left(x\right)\right)} x^{m}}{2 \, {\left(d f x x^{m} + x\right)}}\,{d x}"," ",0,"-1/2*(b*n*log(x)^2 - 2*b*log(x)*log(x^n) - 2*(b*log(c) + a)*log(x))*log(d*f*x^m + 1) - integrate(1/2*(2*b*d*f*m*x^m*log(x)*log(x^n) - (b*d*f*m*n*log(x)^2 - 2*(b*d*f*m*log(c) + a*d*f*m)*log(x))*x^m)/(d*f*x*x^m + x), x)","F",0
68,0,0,0,0.000000," ","integrate(log(d*(1/d+f*x^m))/x/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{\log\left({\left(f x^{m} + \frac{1}{d}\right)} d\right)}{{\left(b \log\left(c x^{n}\right) + a\right)} x}\,{d x}"," ",0,"integrate(log((f*x^m + 1/d)*d)/((b*log(c*x^n) + a)*x), x)","F",0
69,0,0,0,0.000000," ","integrate(log(d*(1/d+f*x^m))/x/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","d f m \int \frac{x^{m}}{{\left(b^{2} d f n \log\left(c\right) + a b d f n\right)} x x^{m} + {\left(b^{2} n \log\left(c\right) + a b n\right)} x + {\left(b^{2} d f n x x^{m} + b^{2} n x\right)} \log\left(x^{n}\right)}\,{d x} - \frac{\log\left(d f x^{m} + 1\right)}{b^{2} n \log\left(c\right) + b^{2} n \log\left(x^{n}\right) + a b n}"," ",0,"d*f*m*integrate(x^m/((b^2*d*f*n*log(c) + a*b*d*f*n)*x*x^m + (b^2*n*log(c) + a*b*n)*x + (b^2*d*f*n*x*x^m + b^2*n*x)*log(x^n)), x) - log(d*f*x^m + 1)/(b^2*n*log(c) + b^2*n*log(x^n) + a*b*n)","F",0
70,1,381,0,2.304230," ","integrate(x^3*(a+b*log(c*x^n))*log(d*(f*x+e)^m),x, algorithm=""maxima"")","-\frac{{\left(\log\left(\frac{f x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{f x}{e}\right)\right)} b e^{4} m n}{4 \, f^{4}} - \frac{{\left(4 \, a e^{4} m - {\left(e^{4} m n - 4 \, e^{4} m \log\left(c\right)\right)} b\right)} \log\left(f x + e\right)}{16 \, f^{4}} + \frac{72 \, b e^{4} m n \log\left(f x + e\right) \log\left(x\right) - 9 \, {\left(2 \, {\left(f^{4} m - 4 \, f^{4} \log\left(d\right)\right)} a - {\left(f^{4} m n - 2 \, f^{4} n \log\left(d\right) - 2 \, {\left(f^{4} m - 4 \, f^{4} \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{4} + 2 \, {\left(12 \, a e f^{3} m - {\left(7 \, e f^{3} m n - 12 \, e f^{3} m \log\left(c\right)\right)} b\right)} x^{3} - 9 \, {\left(4 \, a e^{2} f^{2} m - {\left(3 \, e^{2} f^{2} m n - 4 \, e^{2} f^{2} m \log\left(c\right)\right)} b\right)} x^{2} + 18 \, {\left(4 \, a e^{3} f m - {\left(5 \, e^{3} f m n - 4 \, e^{3} f m \log\left(c\right)\right)} b\right)} x + 18 \, {\left(4 \, b f^{4} x^{4} \log\left(x^{n}\right) + {\left(4 \, a f^{4} - {\left(f^{4} n - 4 \, f^{4} \log\left(c\right)\right)} b\right)} x^{4}\right)} \log\left({\left(f x + e\right)}^{m}\right) + 6 \, {\left(4 \, b e f^{3} m x^{3} - 6 \, b e^{2} f^{2} m x^{2} + 12 \, b e^{3} f m x - 12 \, b e^{4} m \log\left(f x + e\right) - 3 \, {\left(f^{4} m - 4 \, f^{4} \log\left(d\right)\right)} b x^{4}\right)} \log\left(x^{n}\right)}{288 \, f^{4}}"," ",0,"-1/4*(log(f*x/e + 1)*log(x) + dilog(-f*x/e))*b*e^4*m*n/f^4 - 1/16*(4*a*e^4*m - (e^4*m*n - 4*e^4*m*log(c))*b)*log(f*x + e)/f^4 + 1/288*(72*b*e^4*m*n*log(f*x + e)*log(x) - 9*(2*(f^4*m - 4*f^4*log(d))*a - (f^4*m*n - 2*f^4*n*log(d) - 2*(f^4*m - 4*f^4*log(d))*log(c))*b)*x^4 + 2*(12*a*e*f^3*m - (7*e*f^3*m*n - 12*e*f^3*m*log(c))*b)*x^3 - 9*(4*a*e^2*f^2*m - (3*e^2*f^2*m*n - 4*e^2*f^2*m*log(c))*b)*x^2 + 18*(4*a*e^3*f*m - (5*e^3*f*m*n - 4*e^3*f*m*log(c))*b)*x + 18*(4*b*f^4*x^4*log(x^n) + (4*a*f^4 - (f^4*n - 4*f^4*log(c))*b)*x^4)*log((f*x + e)^m) + 6*(4*b*e*f^3*m*x^3 - 6*b*e^2*f^2*m*x^2 + 12*b*e^3*f*m*x - 12*b*e^4*m*log(f*x + e) - 3*(f^4*m - 4*f^4*log(d))*b*x^4)*log(x^n))/f^4","A",0
71,1,328,0,2.387147," ","integrate(x^2*(a+b*log(c*x^n))*log(d*(f*x+e)^m),x, algorithm=""maxima"")","\frac{{\left(\log\left(\frac{f x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{f x}{e}\right)\right)} b e^{3} m n}{3 \, f^{3}} + \frac{{\left(3 \, a e^{3} m - {\left(e^{3} m n - 3 \, e^{3} m \log\left(c\right)\right)} b\right)} \log\left(f x + e\right)}{9 \, f^{3}} - \frac{36 \, b e^{3} m n \log\left(f x + e\right) \log\left(x\right) + 4 \, {\left(3 \, {\left(f^{3} m - 3 \, f^{3} \log\left(d\right)\right)} a - {\left(2 \, f^{3} m n - 3 \, f^{3} n \log\left(d\right) - 3 \, {\left(f^{3} m - 3 \, f^{3} \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{3} - 3 \, {\left(6 \, a e f^{2} m - {\left(5 \, e f^{2} m n - 6 \, e f^{2} m \log\left(c\right)\right)} b\right)} x^{2} + 12 \, {\left(3 \, a e^{2} f m - {\left(4 \, e^{2} f m n - 3 \, e^{2} f m \log\left(c\right)\right)} b\right)} x - 12 \, {\left(3 \, b f^{3} x^{3} \log\left(x^{n}\right) + {\left(3 \, a f^{3} - {\left(f^{3} n - 3 \, f^{3} \log\left(c\right)\right)} b\right)} x^{3}\right)} \log\left({\left(f x + e\right)}^{m}\right) - 6 \, {\left(3 \, b e f^{2} m x^{2} - 6 \, b e^{2} f m x + 6 \, b e^{3} m \log\left(f x + e\right) - 2 \, {\left(f^{3} m - 3 \, f^{3} \log\left(d\right)\right)} b x^{3}\right)} \log\left(x^{n}\right)}{108 \, f^{3}}"," ",0,"1/3*(log(f*x/e + 1)*log(x) + dilog(-f*x/e))*b*e^3*m*n/f^3 + 1/9*(3*a*e^3*m - (e^3*m*n - 3*e^3*m*log(c))*b)*log(f*x + e)/f^3 - 1/108*(36*b*e^3*m*n*log(f*x + e)*log(x) + 4*(3*(f^3*m - 3*f^3*log(d))*a - (2*f^3*m*n - 3*f^3*n*log(d) - 3*(f^3*m - 3*f^3*log(d))*log(c))*b)*x^3 - 3*(6*a*e*f^2*m - (5*e*f^2*m*n - 6*e*f^2*m*log(c))*b)*x^2 + 12*(3*a*e^2*f*m - (4*e^2*f*m*n - 3*e^2*f*m*log(c))*b)*x - 12*(3*b*f^3*x^3*log(x^n) + (3*a*f^3 - (f^3*n - 3*f^3*log(c))*b)*x^3)*log((f*x + e)^m) - 6*(3*b*e*f^2*m*x^2 - 6*b*e^2*f*m*x + 6*b*e^3*m*log(f*x + e) - 2*(f^3*m - 3*f^3*log(d))*b*x^3)*log(x^n))/f^3","A",0
72,1,269,0,2.277362," ","integrate(x*(a+b*log(c*x^n))*log(d*(f*x+e)^m),x, algorithm=""maxima"")","-\frac{{\left(\log\left(\frac{f x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{f x}{e}\right)\right)} b e^{2} m n}{2 \, f^{2}} - \frac{{\left(2 \, a e^{2} m - {\left(e^{2} m n - 2 \, e^{2} m \log\left(c\right)\right)} b\right)} \log\left(f x + e\right)}{4 \, f^{2}} + \frac{2 \, b e^{2} m n \log\left(f x + e\right) \log\left(x\right) - {\left({\left(f^{2} m - 2 \, f^{2} \log\left(d\right)\right)} a - {\left(f^{2} m n - f^{2} n \log\left(d\right) - {\left(f^{2} m - 2 \, f^{2} \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{2} + {\left(2 \, a e f m - {\left(3 \, e f m n - 2 \, e f m \log\left(c\right)\right)} b\right)} x + {\left(2 \, b f^{2} x^{2} \log\left(x^{n}\right) + {\left(2 \, a f^{2} - {\left(f^{2} n - 2 \, f^{2} \log\left(c\right)\right)} b\right)} x^{2}\right)} \log\left({\left(f x + e\right)}^{m}\right) + {\left(2 \, b e f m x - 2 \, b e^{2} m \log\left(f x + e\right) - {\left(f^{2} m - 2 \, f^{2} \log\left(d\right)\right)} b x^{2}\right)} \log\left(x^{n}\right)}{4 \, f^{2}}"," ",0,"-1/2*(log(f*x/e + 1)*log(x) + dilog(-f*x/e))*b*e^2*m*n/f^2 - 1/4*(2*a*e^2*m - (e^2*m*n - 2*e^2*m*log(c))*b)*log(f*x + e)/f^2 + 1/4*(2*b*e^2*m*n*log(f*x + e)*log(x) - ((f^2*m - 2*f^2*log(d))*a - (f^2*m*n - f^2*n*log(d) - (f^2*m - 2*f^2*log(d))*log(c))*b)*x^2 + (2*a*e*f*m - (3*e*f*m*n - 2*e*f*m*log(c))*b)*x + (2*b*f^2*x^2*log(x^n) + (2*a*f^2 - (f^2*n - 2*f^2*log(c))*b)*x^2)*log((f*x + e)^m) + (2*b*e*f*m*x - 2*b*e^2*m*log(f*x + e) - (f^2*m - 2*f^2*log(d))*b*x^2)*log(x^n))/f^2","A",0
73,1,188,0,2.092568," ","integrate((a+b*log(c*x^n))*log(d*(f*x+e)^m),x, algorithm=""maxima"")","\frac{{\left(\log\left(\frac{f x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{f x}{e}\right)\right)} b e m n}{f} + \frac{{\left(a e m - {\left(e m n - e m \log\left(c\right)\right)} b\right)} \log\left(f x + e\right)}{f} - \frac{b e m n \log\left(f x + e\right) \log\left(x\right) + {\left({\left(f m - f \log\left(d\right)\right)} a - {\left(2 \, f m n - f n \log\left(d\right) - {\left(f m - f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x - {\left(b f x \log\left(x^{n}\right) - {\left({\left(f n - f \log\left(c\right)\right)} b - a f\right)} x\right)} \log\left({\left(f x + e\right)}^{m}\right) - {\left(b e m \log\left(f x + e\right) - {\left(f m - f \log\left(d\right)\right)} b x\right)} \log\left(x^{n}\right)}{f}"," ",0,"(log(f*x/e + 1)*log(x) + dilog(-f*x/e))*b*e*m*n/f + (a*e*m - (e*m*n - e*m*log(c))*b)*log(f*x + e)/f - (b*e*m*n*log(f*x + e)*log(x) + ((f*m - f*log(d))*a - (2*f*m*n - f*n*log(d) - (f*m - f*log(d))*log(c))*b)*x - (b*f*x*log(x^n) - ((f*n - f*log(c))*b - a*f)*x)*log((f*x + e)^m) - (b*e*m*log(f*x + e) - (f*m - f*log(d))*b*x)*log(x^n))/f","A",0
74,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(f*x+e)^m)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(b n \log\left(x\right)^{2} - 2 \, b \log\left(x\right) \log\left(x^{n}\right) - 2 \, {\left(b \log\left(c\right) + a\right)} \log\left(x\right)\right)} \log\left({\left(f x + e\right)}^{m}\right) - \int -\frac{b f m n x \log\left(x\right)^{2} + 2 \, b e \log\left(c\right) \log\left(d\right) + 2 \, a e \log\left(d\right) - 2 \, {\left(b f m \log\left(c\right) + a f m\right)} x \log\left(x\right) + 2 \, {\left(b f \log\left(c\right) \log\left(d\right) + a f \log\left(d\right)\right)} x - 2 \, {\left(b f m x \log\left(x\right) - b f x \log\left(d\right) - b e \log\left(d\right)\right)} \log\left(x^{n}\right)}{2 \, {\left(f x^{2} + e x\right)}}\,{d x}"," ",0,"-1/2*(b*n*log(x)^2 - 2*b*log(x)*log(x^n) - 2*(b*log(c) + a)*log(x))*log((f*x + e)^m) - integrate(-1/2*(b*f*m*n*x*log(x)^2 + 2*b*e*log(c)*log(d) + 2*a*e*log(d) - 2*(b*f*m*log(c) + a*f*m)*x*log(x) + 2*(b*f*log(c)*log(d) + a*f*log(d))*x - 2*(b*f*m*x*log(x) - b*f*x*log(d) - b*e*log(d))*log(x^n))/(f*x^2 + e*x), x)","F",0
75,1,199,0,2.235942," ","integrate((a+b*log(c*x^n))*log(d*(f*x+e)^m)/x^2,x, algorithm=""maxima"")","-\frac{{\left(\log\left(\frac{f x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{f x}{e}\right)\right)} b f m n}{e} - \frac{{\left(a f m + {\left(f m n + f m \log\left(c\right)\right)} b\right)} \log\left(f x + e\right)}{e} + \frac{2 \, b f m n x \log\left(f x + e\right) \log\left(x\right) - b f m n x \log\left(x\right)^{2} - 2 \, a e \log\left(d\right) + 2 \, {\left(a f m + {\left(f m n + f m \log\left(c\right)\right)} b\right)} x \log\left(x\right) - 2 \, {\left(e n \log\left(d\right) + e \log\left(c\right) \log\left(d\right)\right)} b - 2 \, {\left(b e \log\left(x^{n}\right) + {\left(e n + e \log\left(c\right)\right)} b + a e\right)} \log\left({\left(f x + e\right)}^{m}\right) - 2 \, {\left(b f m x \log\left(f x + e\right) - b f m x \log\left(x\right) + b e \log\left(d\right)\right)} \log\left(x^{n}\right)}{2 \, e x}"," ",0,"-(log(f*x/e + 1)*log(x) + dilog(-f*x/e))*b*f*m*n/e - (a*f*m + (f*m*n + f*m*log(c))*b)*log(f*x + e)/e + 1/2*(2*b*f*m*n*x*log(f*x + e)*log(x) - b*f*m*n*x*log(x)^2 - 2*a*e*log(d) + 2*(a*f*m + (f*m*n + f*m*log(c))*b)*x*log(x) - 2*(e*n*log(d) + e*log(c)*log(d))*b - 2*(b*e*log(x^n) + (e*n + e*log(c))*b + a*e)*log((f*x + e)^m) - 2*(b*f*m*x*log(f*x + e) - b*f*m*x*log(x) + b*e*log(d))*log(x^n))/(e*x)","A",0
76,1,285,0,2.372775," ","integrate((a+b*log(c*x^n))*log(d*(f*x+e)^m)/x^3,x, algorithm=""maxima"")","\frac{{\left(\log\left(\frac{f x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{f x}{e}\right)\right)} b f^{2} m n}{2 \, e^{2}} + \frac{{\left(2 \, a f^{2} m + {\left(f^{2} m n + 2 \, f^{2} m \log\left(c\right)\right)} b\right)} \log\left(f x + e\right)}{4 \, e^{2}} - \frac{2 \, b f^{2} m n x^{2} \log\left(f x + e\right) \log\left(x\right) - b f^{2} m n x^{2} \log\left(x\right)^{2} + 2 \, a e^{2} \log\left(d\right) + {\left(2 \, a f^{2} m + {\left(f^{2} m n + 2 \, f^{2} m \log\left(c\right)\right)} b\right)} x^{2} \log\left(x\right) + {\left(e^{2} n \log\left(d\right) + 2 \, e^{2} \log\left(c\right) \log\left(d\right)\right)} b + {\left(2 \, a e f m + {\left(3 \, e f m n + 2 \, e f m \log\left(c\right)\right)} b\right)} x + {\left(2 \, b e^{2} \log\left(x^{n}\right) + 2 \, a e^{2} + {\left(e^{2} n + 2 \, e^{2} \log\left(c\right)\right)} b\right)} \log\left({\left(f x + e\right)}^{m}\right) - 2 \, {\left(b f^{2} m x^{2} \log\left(f x + e\right) - b f^{2} m x^{2} \log\left(x\right) - b e f m x - b e^{2} \log\left(d\right)\right)} \log\left(x^{n}\right)}{4 \, e^{2} x^{2}}"," ",0,"1/2*(log(f*x/e + 1)*log(x) + dilog(-f*x/e))*b*f^2*m*n/e^2 + 1/4*(2*a*f^2*m + (f^2*m*n + 2*f^2*m*log(c))*b)*log(f*x + e)/e^2 - 1/4*(2*b*f^2*m*n*x^2*log(f*x + e)*log(x) - b*f^2*m*n*x^2*log(x)^2 + 2*a*e^2*log(d) + (2*a*f^2*m + (f^2*m*n + 2*f^2*m*log(c))*b)*x^2*log(x) + (e^2*n*log(d) + 2*e^2*log(c)*log(d))*b + (2*a*e*f*m + (3*e*f*m*n + 2*e*f*m*log(c))*b)*x + (2*b*e^2*log(x^n) + 2*a*e^2 + (e^2*n + 2*e^2*log(c))*b)*log((f*x + e)^m) - 2*(b*f^2*m*x^2*log(f*x + e) - b*f^2*m*x^2*log(x) - b*e*f*m*x - b*e^2*log(d))*log(x^n))/(e^2*x^2)","A",0
77,1,342,0,2.336374," ","integrate((a+b*log(c*x^n))*log(d*(f*x+e)^m)/x^4,x, algorithm=""maxima"")","-\frac{{\left(\log\left(\frac{f x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{f x}{e}\right)\right)} b f^{3} m n}{3 \, e^{3}} - \frac{{\left(3 \, a f^{3} m + {\left(f^{3} m n + 3 \, f^{3} m \log\left(c\right)\right)} b\right)} \log\left(f x + e\right)}{9 \, e^{3}} + \frac{12 \, b f^{3} m n x^{3} \log\left(f x + e\right) \log\left(x\right) - 6 \, b f^{3} m n x^{3} \log\left(x\right)^{2} - 12 \, a e^{3} \log\left(d\right) + 4 \, {\left(3 \, a f^{3} m + {\left(f^{3} m n + 3 \, f^{3} m \log\left(c\right)\right)} b\right)} x^{3} \log\left(x\right) + 4 \, {\left(3 \, a e f^{2} m + {\left(4 \, e f^{2} m n + 3 \, e f^{2} m \log\left(c\right)\right)} b\right)} x^{2} - 4 \, {\left(e^{3} n \log\left(d\right) + 3 \, e^{3} \log\left(c\right) \log\left(d\right)\right)} b - {\left(6 \, a e^{2} f m + {\left(5 \, e^{2} f m n + 6 \, e^{2} f m \log\left(c\right)\right)} b\right)} x - 4 \, {\left(3 \, b e^{3} \log\left(x^{n}\right) + 3 \, a e^{3} + {\left(e^{3} n + 3 \, e^{3} \log\left(c\right)\right)} b\right)} \log\left({\left(f x + e\right)}^{m}\right) - 6 \, {\left(2 \, b f^{3} m x^{3} \log\left(f x + e\right) - 2 \, b f^{3} m x^{3} \log\left(x\right) - 2 \, b e f^{2} m x^{2} + b e^{2} f m x + 2 \, b e^{3} \log\left(d\right)\right)} \log\left(x^{n}\right)}{36 \, e^{3} x^{3}}"," ",0,"-1/3*(log(f*x/e + 1)*log(x) + dilog(-f*x/e))*b*f^3*m*n/e^3 - 1/9*(3*a*f^3*m + (f^3*m*n + 3*f^3*m*log(c))*b)*log(f*x + e)/e^3 + 1/36*(12*b*f^3*m*n*x^3*log(f*x + e)*log(x) - 6*b*f^3*m*n*x^3*log(x)^2 - 12*a*e^3*log(d) + 4*(3*a*f^3*m + (f^3*m*n + 3*f^3*m*log(c))*b)*x^3*log(x) + 4*(3*a*e*f^2*m + (4*e*f^2*m*n + 3*e*f^2*m*log(c))*b)*x^2 - 4*(e^3*n*log(d) + 3*e^3*log(c)*log(d))*b - (6*a*e^2*f*m + (5*e^2*f*m*n + 6*e^2*f*m*log(c))*b)*x - 4*(3*b*e^3*log(x^n) + 3*a*e^3 + (e^3*n + 3*e^3*log(c))*b)*log((f*x + e)^m) - 6*(2*b*f^3*m*x^3*log(f*x + e) - 2*b*f^3*m*x^3*log(x) - 2*b*e*f^2*m*x^2 + b*e^2*f*m*x + 2*b*e^3*log(d))*log(x^n))/(e^3*x^3)","A",0
78,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2*log(d*(f*x+e)^m),x, algorithm=""maxima"")","\frac{3 \, {\left(3 \, b^{2} e f^{2} m x^{2} - 6 \, b^{2} e^{2} f m x + 6 \, b^{2} e^{3} m \log\left(f x + e\right) - 2 \, {\left(f^{3} m - 3 \, f^{3} \log\left(d\right)\right)} b^{2} x^{3}\right)} \log\left(x^{n}\right)^{2} + 2 \, {\left(9 \, b^{2} f^{3} x^{3} \log\left(x^{n}\right)^{2} + 6 \, {\left(3 \, a b f^{3} - {\left(f^{3} n - 3 \, f^{3} \log\left(c\right)\right)} b^{2}\right)} x^{3} \log\left(x^{n}\right) + {\left(9 \, a^{2} f^{3} - 6 \, {\left(f^{3} n - 3 \, f^{3} \log\left(c\right)\right)} a b + {\left(2 \, f^{3} n^{2} - 6 \, f^{3} n \log\left(c\right) + 9 \, f^{3} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{3}\right)} \log\left({\left(f x + e\right)}^{m}\right)}{54 \, f^{3}} - \int \frac{{\left(9 \, {\left(f^{4} m - 3 \, f^{4} \log\left(d\right)\right)} a^{2} - 6 \, {\left(f^{4} m n - 3 \, {\left(f^{4} m - 3 \, f^{4} \log\left(d\right)\right)} \log\left(c\right)\right)} a b + {\left(2 \, f^{4} m n^{2} - 6 \, f^{4} m n \log\left(c\right) + 9 \, {\left(f^{4} m - 3 \, f^{4} \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{4} - 27 \, {\left(b^{2} e f^{3} \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b e f^{3} \log\left(c\right) \log\left(d\right) + a^{2} e f^{3} \log\left(d\right)\right)} x^{3} - 3 \, {\left(3 \, b^{2} e^{2} f^{2} m n x^{2} + 6 \, b^{2} e^{3} f m n x - 2 \, {\left(3 \, {\left(f^{4} m - 3 \, f^{4} \log\left(d\right)\right)} a b - {\left(2 \, f^{4} m n - 3 \, f^{4} n \log\left(d\right) - 3 \, {\left(f^{4} m - 3 \, f^{4} \log\left(d\right)\right)} \log\left(c\right)\right)} b^{2}\right)} x^{4} + {\left(18 \, a b e f^{3} \log\left(d\right) - {\left(e f^{3} m n + 6 \, e f^{3} n \log\left(d\right) - 18 \, e f^{3} \log\left(c\right) \log\left(d\right)\right)} b^{2}\right)} x^{3} - 6 \, {\left(b^{2} e^{3} f m n x + b^{2} e^{4} m n\right)} \log\left(f x + e\right)\right)} \log\left(x^{n}\right)}{27 \, {\left(f^{4} x^{2} + e f^{3} x\right)}}\,{d x}"," ",0,"1/54*(3*(3*b^2*e*f^2*m*x^2 - 6*b^2*e^2*f*m*x + 6*b^2*e^3*m*log(f*x + e) - 2*(f^3*m - 3*f^3*log(d))*b^2*x^3)*log(x^n)^2 + 2*(9*b^2*f^3*x^3*log(x^n)^2 + 6*(3*a*b*f^3 - (f^3*n - 3*f^3*log(c))*b^2)*x^3*log(x^n) + (9*a^2*f^3 - 6*(f^3*n - 3*f^3*log(c))*a*b + (2*f^3*n^2 - 6*f^3*n*log(c) + 9*f^3*log(c)^2)*b^2)*x^3)*log((f*x + e)^m))/f^3 - integrate(1/27*((9*(f^4*m - 3*f^4*log(d))*a^2 - 6*(f^4*m*n - 3*(f^4*m - 3*f^4*log(d))*log(c))*a*b + (2*f^4*m*n^2 - 6*f^4*m*n*log(c) + 9*(f^4*m - 3*f^4*log(d))*log(c)^2)*b^2)*x^4 - 27*(b^2*e*f^3*log(c)^2*log(d) + 2*a*b*e*f^3*log(c)*log(d) + a^2*e*f^3*log(d))*x^3 - 3*(3*b^2*e^2*f^2*m*n*x^2 + 6*b^2*e^3*f*m*n*x - 2*(3*(f^4*m - 3*f^4*log(d))*a*b - (2*f^4*m*n - 3*f^4*n*log(d) - 3*(f^4*m - 3*f^4*log(d))*log(c))*b^2)*x^4 + (18*a*b*e*f^3*log(d) - (e*f^3*m*n + 6*e*f^3*n*log(d) - 18*e*f^3*log(c)*log(d))*b^2)*x^3 - 6*(b^2*e^3*f*m*n*x + b^2*e^4*m*n)*log(f*x + e))*log(x^n))/(f^4*x^2 + e*f^3*x), x)","F",0
79,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2*log(d*(f*x+e)^m),x, algorithm=""maxima"")","\frac{{\left(2 \, b^{2} e f m x - 2 \, b^{2} e^{2} m \log\left(f x + e\right) - {\left(f^{2} m - 2 \, f^{2} \log\left(d\right)\right)} b^{2} x^{2}\right)} \log\left(x^{n}\right)^{2} + {\left(2 \, b^{2} f^{2} x^{2} \log\left(x^{n}\right)^{2} + 2 \, {\left(2 \, a b f^{2} - {\left(f^{2} n - 2 \, f^{2} \log\left(c\right)\right)} b^{2}\right)} x^{2} \log\left(x^{n}\right) + {\left(2 \, a^{2} f^{2} - 2 \, {\left(f^{2} n - 2 \, f^{2} \log\left(c\right)\right)} a b + {\left(f^{2} n^{2} - 2 \, f^{2} n \log\left(c\right) + 2 \, f^{2} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{2}\right)} \log\left({\left(f x + e\right)}^{m}\right)}{4 \, f^{2}} + \int -\frac{{\left(2 \, {\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} a^{2} - 2 \, {\left(f^{3} m n - 2 \, {\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} \log\left(c\right)\right)} a b + {\left(f^{3} m n^{2} - 2 \, f^{3} m n \log\left(c\right) + 2 \, {\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{3} - 4 \, {\left(b^{2} e f^{2} \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b e f^{2} \log\left(c\right) \log\left(d\right) + a^{2} e f^{2} \log\left(d\right)\right)} x^{2} + 2 \, {\left(2 \, b^{2} e^{2} f m n x + 2 \, {\left({\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} a b - {\left(f^{3} m n - f^{3} n \log\left(d\right) - {\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} \log\left(c\right)\right)} b^{2}\right)} x^{3} - {\left(4 \, a b e f^{2} \log\left(d\right) - {\left(e f^{2} m n + 2 \, e f^{2} n \log\left(d\right) - 4 \, e f^{2} \log\left(c\right) \log\left(d\right)\right)} b^{2}\right)} x^{2} - 2 \, {\left(b^{2} e^{2} f m n x + b^{2} e^{3} m n\right)} \log\left(f x + e\right)\right)} \log\left(x^{n}\right)}{4 \, {\left(f^{3} x^{2} + e f^{2} x\right)}}\,{d x}"," ",0,"1/4*((2*b^2*e*f*m*x - 2*b^2*e^2*m*log(f*x + e) - (f^2*m - 2*f^2*log(d))*b^2*x^2)*log(x^n)^2 + (2*b^2*f^2*x^2*log(x^n)^2 + 2*(2*a*b*f^2 - (f^2*n - 2*f^2*log(c))*b^2)*x^2*log(x^n) + (2*a^2*f^2 - 2*(f^2*n - 2*f^2*log(c))*a*b + (f^2*n^2 - 2*f^2*n*log(c) + 2*f^2*log(c)^2)*b^2)*x^2)*log((f*x + e)^m))/f^2 + integrate(-1/4*((2*(f^3*m - 2*f^3*log(d))*a^2 - 2*(f^3*m*n - 2*(f^3*m - 2*f^3*log(d))*log(c))*a*b + (f^3*m*n^2 - 2*f^3*m*n*log(c) + 2*(f^3*m - 2*f^3*log(d))*log(c)^2)*b^2)*x^3 - 4*(b^2*e*f^2*log(c)^2*log(d) + 2*a*b*e*f^2*log(c)*log(d) + a^2*e*f^2*log(d))*x^2 + 2*(2*b^2*e^2*f*m*n*x + 2*((f^3*m - 2*f^3*log(d))*a*b - (f^3*m*n - f^3*n*log(d) - (f^3*m - 2*f^3*log(d))*log(c))*b^2)*x^3 - (4*a*b*e*f^2*log(d) - (e*f^2*m*n + 2*e*f^2*n*log(d) - 4*e*f^2*log(c)*log(d))*b^2)*x^2 - 2*(b^2*e^2*f*m*n*x + b^2*e^3*m*n)*log(f*x + e))*log(x^n))/(f^3*x^2 + e*f^2*x), x)","F",0
80,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x+e)^m),x, algorithm=""maxima"")","\frac{{\left(b^{2} e m \log\left(f x + e\right) - {\left(f m - f \log\left(d\right)\right)} b^{2} x\right)} \log\left(x^{n}\right)^{2} + {\left(b^{2} f x \log\left(x^{n}\right)^{2} - 2 \, {\left({\left(f n - f \log\left(c\right)\right)} b^{2} - a b f\right)} x \log\left(x^{n}\right) - {\left(2 \, {\left(f n - f \log\left(c\right)\right)} a b - {\left(2 \, f n^{2} - 2 \, f n \log\left(c\right) + f \log\left(c\right)^{2}\right)} b^{2} - a^{2} f\right)} x\right)} \log\left({\left(f x + e\right)}^{m}\right)}{f} - \int \frac{{\left({\left(f^{2} m - f^{2} \log\left(d\right)\right)} a^{2} - 2 \, {\left(f^{2} m n - {\left(f^{2} m - f^{2} \log\left(d\right)\right)} \log\left(c\right)\right)} a b + {\left(2 \, f^{2} m n^{2} - 2 \, f^{2} m n \log\left(c\right) + {\left(f^{2} m - f^{2} \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{2} - {\left(b^{2} e f \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b e f \log\left(c\right) \log\left(d\right) + a^{2} e f \log\left(d\right)\right)} x + 2 \, {\left({\left({\left(f^{2} m - f^{2} \log\left(d\right)\right)} a b - {\left(2 \, f^{2} m n - f^{2} n \log\left(d\right) - {\left(f^{2} m - f^{2} \log\left(d\right)\right)} \log\left(c\right)\right)} b^{2}\right)} x^{2} - {\left(a b e f \log\left(d\right) + {\left(e f m n - e f n \log\left(d\right) + e f \log\left(c\right) \log\left(d\right)\right)} b^{2}\right)} x + {\left(b^{2} e f m n x + b^{2} e^{2} m n\right)} \log\left(f x + e\right)\right)} \log\left(x^{n}\right)}{f^{2} x^{2} + e f x}\,{d x}"," ",0,"((b^2*e*m*log(f*x + e) - (f*m - f*log(d))*b^2*x)*log(x^n)^2 + (b^2*f*x*log(x^n)^2 - 2*((f*n - f*log(c))*b^2 - a*b*f)*x*log(x^n) - (2*(f*n - f*log(c))*a*b - (2*f*n^2 - 2*f*n*log(c) + f*log(c)^2)*b^2 - a^2*f)*x)*log((f*x + e)^m))/f - integrate((((f^2*m - f^2*log(d))*a^2 - 2*(f^2*m*n - (f^2*m - f^2*log(d))*log(c))*a*b + (2*f^2*m*n^2 - 2*f^2*m*n*log(c) + (f^2*m - f^2*log(d))*log(c)^2)*b^2)*x^2 - (b^2*e*f*log(c)^2*log(d) + 2*a*b*e*f*log(c)*log(d) + a^2*e*f*log(d))*x + 2*(((f^2*m - f^2*log(d))*a*b - (2*f^2*m*n - f^2*n*log(d) - (f^2*m - f^2*log(d))*log(c))*b^2)*x^2 - (a*b*e*f*log(d) + (e*f*m*n - e*f*n*log(d) + e*f*log(c)*log(d))*b^2)*x + (b^2*e*f*m*n*x + b^2*e^2*m*n)*log(f*x + e))*log(x^n))/(f^2*x^2 + e*f*x), x)","F",0
81,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x+e)^m)/x,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(b^{2} n^{2} \log\left(x\right)^{3} + 3 \, b^{2} \log\left(x\right) \log\left(x^{n}\right)^{2} - 3 \, {\left(b^{2} n \log\left(c\right) + a b n\right)} \log\left(x\right)^{2} - 3 \, {\left(b^{2} n \log\left(x\right)^{2} - 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x\right)\right)} \log\left(x^{n}\right) + 3 \, {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + a^{2}\right)} \log\left(x\right)\right)} \log\left({\left(f x + e\right)}^{m}\right) - \int \frac{b^{2} f m n^{2} x \log\left(x\right)^{3} - 3 \, b^{2} e \log\left(c\right)^{2} \log\left(d\right) - 6 \, a b e \log\left(c\right) \log\left(d\right) - 3 \, a^{2} e \log\left(d\right) - 3 \, {\left(b^{2} f m n \log\left(c\right) + a b f m n\right)} x \log\left(x\right)^{2} + 3 \, {\left(b^{2} f m \log\left(c\right)^{2} + 2 \, a b f m \log\left(c\right) + a^{2} f m\right)} x \log\left(x\right) + 3 \, {\left(b^{2} f m x \log\left(x\right) - b^{2} f x \log\left(d\right) - b^{2} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{2} - 3 \, {\left(b^{2} f \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b f \log\left(c\right) \log\left(d\right) + a^{2} f \log\left(d\right)\right)} x - 3 \, {\left(b^{2} f m n x \log\left(x\right)^{2} + 2 \, b^{2} e \log\left(c\right) \log\left(d\right) + 2 \, a b e \log\left(d\right) - 2 \, {\left(b^{2} f m \log\left(c\right) + a b f m\right)} x \log\left(x\right) + 2 \, {\left(b^{2} f \log\left(c\right) \log\left(d\right) + a b f \log\left(d\right)\right)} x\right)} \log\left(x^{n}\right)}{3 \, {\left(f x^{2} + e x\right)}}\,{d x}"," ",0,"1/3*(b^2*n^2*log(x)^3 + 3*b^2*log(x)*log(x^n)^2 - 3*(b^2*n*log(c) + a*b*n)*log(x)^2 - 3*(b^2*n*log(x)^2 - 2*(b^2*log(c) + a*b)*log(x))*log(x^n) + 3*(b^2*log(c)^2 + 2*a*b*log(c) + a^2)*log(x))*log((f*x + e)^m) - integrate(1/3*(b^2*f*m*n^2*x*log(x)^3 - 3*b^2*e*log(c)^2*log(d) - 6*a*b*e*log(c)*log(d) - 3*a^2*e*log(d) - 3*(b^2*f*m*n*log(c) + a*b*f*m*n)*x*log(x)^2 + 3*(b^2*f*m*log(c)^2 + 2*a*b*f*m*log(c) + a^2*f*m)*x*log(x) + 3*(b^2*f*m*x*log(x) - b^2*f*x*log(d) - b^2*e*log(d))*log(x^n)^2 - 3*(b^2*f*log(c)^2*log(d) + 2*a*b*f*log(c)*log(d) + a^2*f*log(d))*x - 3*(b^2*f*m*n*x*log(x)^2 + 2*b^2*e*log(c)*log(d) + 2*a*b*e*log(d) - 2*(b^2*f*m*log(c) + a*b*f*m)*x*log(x) + 2*(b^2*f*log(c)*log(d) + a*b*f*log(d))*x)*log(x^n))/(f*x^2 + e*x), x)","F",0
82,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x+e)^m)/x^2,x, algorithm=""maxima"")","-\frac{{\left(b^{2} f m x \log\left(f x + e\right) - b^{2} f m x \log\left(x\right) + b^{2} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{2} + {\left(b^{2} e \log\left(x^{n}\right)^{2} + 2 \, {\left(e n + e \log\left(c\right)\right)} a b + {\left(2 \, e n^{2} + 2 \, e n \log\left(c\right) + e \log\left(c\right)^{2}\right)} b^{2} + a^{2} e + 2 \, {\left({\left(e n + e \log\left(c\right)\right)} b^{2} + a b e\right)} \log\left(x^{n}\right)\right)} \log\left({\left(f x + e\right)}^{m}\right)}{e x} + \int \frac{b^{2} e^{2} \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b e^{2} \log\left(c\right) \log\left(d\right) + a^{2} e^{2} \log\left(d\right) + {\left({\left(e f m + e f \log\left(d\right)\right)} a^{2} + 2 \, {\left(e f m n + {\left(e f m + e f \log\left(d\right)\right)} \log\left(c\right)\right)} a b + {\left(2 \, e f m n^{2} + 2 \, e f m n \log\left(c\right) + {\left(e f m + e f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x + 2 \, {\left(a b e^{2} \log\left(d\right) + {\left(e^{2} n \log\left(d\right) + e^{2} \log\left(c\right) \log\left(d\right)\right)} b^{2} + {\left({\left(e f m + e f \log\left(d\right)\right)} a b + {\left(e f m n + e f n \log\left(d\right) + {\left(e f m + e f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{2}\right)} x + {\left(b^{2} f^{2} m n x^{2} + b^{2} e f m n x\right)} \log\left(f x + e\right) - {\left(b^{2} f^{2} m n x^{2} + b^{2} e f m n x\right)} \log\left(x\right)\right)} \log\left(x^{n}\right)}{e f x^{3} + e^{2} x^{2}}\,{d x}"," ",0,"-((b^2*f*m*x*log(f*x + e) - b^2*f*m*x*log(x) + b^2*e*log(d))*log(x^n)^2 + (b^2*e*log(x^n)^2 + 2*(e*n + e*log(c))*a*b + (2*e*n^2 + 2*e*n*log(c) + e*log(c)^2)*b^2 + a^2*e + 2*((e*n + e*log(c))*b^2 + a*b*e)*log(x^n))*log((f*x + e)^m))/(e*x) + integrate((b^2*e^2*log(c)^2*log(d) + 2*a*b*e^2*log(c)*log(d) + a^2*e^2*log(d) + ((e*f*m + e*f*log(d))*a^2 + 2*(e*f*m*n + (e*f*m + e*f*log(d))*log(c))*a*b + (2*e*f*m*n^2 + 2*e*f*m*n*log(c) + (e*f*m + e*f*log(d))*log(c)^2)*b^2)*x + 2*(a*b*e^2*log(d) + (e^2*n*log(d) + e^2*log(c)*log(d))*b^2 + ((e*f*m + e*f*log(d))*a*b + (e*f*m*n + e*f*n*log(d) + (e*f*m + e*f*log(d))*log(c))*b^2)*x + (b^2*f^2*m*n*x^2 + b^2*e*f*m*n*x)*log(f*x + e) - (b^2*f^2*m*n*x^2 + b^2*e*f*m*n*x)*log(x))*log(x^n))/(e*f*x^3 + e^2*x^2), x)","F",0
83,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x+e)^m)/x^3,x, algorithm=""maxima"")","\frac{2 \, {\left(b^{2} f^{2} m x^{2} \log\left(f x + e\right) - b^{2} f^{2} m x^{2} \log\left(x\right) - b^{2} e f m x - b^{2} e^{2} \log\left(d\right)\right)} \log\left(x^{n}\right)^{2} - {\left(2 \, b^{2} e^{2} \log\left(x^{n}\right)^{2} + 2 \, a^{2} e^{2} + 2 \, {\left(e^{2} n + 2 \, e^{2} \log\left(c\right)\right)} a b + {\left(e^{2} n^{2} + 2 \, e^{2} n \log\left(c\right) + 2 \, e^{2} \log\left(c\right)^{2}\right)} b^{2} + 2 \, {\left(2 \, a b e^{2} + {\left(e^{2} n + 2 \, e^{2} \log\left(c\right)\right)} b^{2}\right)} \log\left(x^{n}\right)\right)} \log\left({\left(f x + e\right)}^{m}\right)}{4 \, e^{2} x^{2}} - \int -\frac{4 \, b^{2} e^{3} \log\left(c\right)^{2} \log\left(d\right) + 8 \, a b e^{3} \log\left(c\right) \log\left(d\right) + 4 \, a^{2} e^{3} \log\left(d\right) + {\left(2 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} a^{2} + 2 \, {\left(e^{2} f m n + 2 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} \log\left(c\right)\right)} a b + {\left(e^{2} f m n^{2} + 2 \, e^{2} f m n \log\left(c\right) + 2 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x + 2 \, {\left(2 \, b^{2} e f^{2} m n x^{2} + 4 \, a b e^{3} \log\left(d\right) + 2 \, {\left(e^{3} n \log\left(d\right) + 2 \, e^{3} \log\left(c\right) \log\left(d\right)\right)} b^{2} + {\left(2 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} a b + {\left(3 \, e^{2} f m n + 2 \, e^{2} f n \log\left(d\right) + 2 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{2}\right)} x - 2 \, {\left(b^{2} f^{3} m n x^{3} + b^{2} e f^{2} m n x^{2}\right)} \log\left(f x + e\right) + 2 \, {\left(b^{2} f^{3} m n x^{3} + b^{2} e f^{2} m n x^{2}\right)} \log\left(x\right)\right)} \log\left(x^{n}\right)}{4 \, {\left(e^{2} f x^{4} + e^{3} x^{3}\right)}}\,{d x}"," ",0,"1/4*(2*(b^2*f^2*m*x^2*log(f*x + e) - b^2*f^2*m*x^2*log(x) - b^2*e*f*m*x - b^2*e^2*log(d))*log(x^n)^2 - (2*b^2*e^2*log(x^n)^2 + 2*a^2*e^2 + 2*(e^2*n + 2*e^2*log(c))*a*b + (e^2*n^2 + 2*e^2*n*log(c) + 2*e^2*log(c)^2)*b^2 + 2*(2*a*b*e^2 + (e^2*n + 2*e^2*log(c))*b^2)*log(x^n))*log((f*x + e)^m))/(e^2*x^2) - integrate(-1/4*(4*b^2*e^3*log(c)^2*log(d) + 8*a*b*e^3*log(c)*log(d) + 4*a^2*e^3*log(d) + (2*(e^2*f*m + 2*e^2*f*log(d))*a^2 + 2*(e^2*f*m*n + 2*(e^2*f*m + 2*e^2*f*log(d))*log(c))*a*b + (e^2*f*m*n^2 + 2*e^2*f*m*n*log(c) + 2*(e^2*f*m + 2*e^2*f*log(d))*log(c)^2)*b^2)*x + 2*(2*b^2*e*f^2*m*n*x^2 + 4*a*b*e^3*log(d) + 2*(e^3*n*log(d) + 2*e^3*log(c)*log(d))*b^2 + (2*(e^2*f*m + 2*e^2*f*log(d))*a*b + (3*e^2*f*m*n + 2*e^2*f*n*log(d) + 2*(e^2*f*m + 2*e^2*f*log(d))*log(c))*b^2)*x - 2*(b^2*f^3*m*n*x^3 + b^2*e*f^2*m*n*x^2)*log(f*x + e) + 2*(b^2*f^3*m*n*x^3 + b^2*e*f^2*m*n*x^2)*log(x))*log(x^n))/(e^2*f*x^4 + e^3*x^3), x)","F",0
84,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x+e)^m)/x^4,x, algorithm=""maxima"")","-\frac{9 \, {\left(2 \, b^{2} f^{3} m x^{3} \log\left(f x + e\right) - 2 \, b^{2} f^{3} m x^{3} \log\left(x\right) - 2 \, b^{2} e f^{2} m x^{2} + b^{2} e^{2} f m x + 2 \, b^{2} e^{3} \log\left(d\right)\right)} \log\left(x^{n}\right)^{2} + 2 \, {\left(9 \, b^{2} e^{3} \log\left(x^{n}\right)^{2} + 9 \, a^{2} e^{3} + 6 \, {\left(e^{3} n + 3 \, e^{3} \log\left(c\right)\right)} a b + {\left(2 \, e^{3} n^{2} + 6 \, e^{3} n \log\left(c\right) + 9 \, e^{3} \log\left(c\right)^{2}\right)} b^{2} + 6 \, {\left(3 \, a b e^{3} + {\left(e^{3} n + 3 \, e^{3} \log\left(c\right)\right)} b^{2}\right)} \log\left(x^{n}\right)\right)} \log\left({\left(f x + e\right)}^{m}\right)}{54 \, e^{3} x^{3}} + \int \frac{27 \, b^{2} e^{4} \log\left(c\right)^{2} \log\left(d\right) + 54 \, a b e^{4} \log\left(c\right) \log\left(d\right) + 27 \, a^{2} e^{4} \log\left(d\right) + {\left(9 \, {\left(e^{3} f m + 3 \, e^{3} f \log\left(d\right)\right)} a^{2} + 6 \, {\left(e^{3} f m n + 3 \, {\left(e^{3} f m + 3 \, e^{3} f \log\left(d\right)\right)} \log\left(c\right)\right)} a b + {\left(2 \, e^{3} f m n^{2} + 6 \, e^{3} f m n \log\left(c\right) + 9 \, {\left(e^{3} f m + 3 \, e^{3} f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x - 3 \, {\left(6 \, b^{2} e f^{3} m n x^{3} + 3 \, b^{2} e^{2} f^{2} m n x^{2} - 18 \, a b e^{4} \log\left(d\right) - 6 \, {\left(e^{4} n \log\left(d\right) + 3 \, e^{4} \log\left(c\right) \log\left(d\right)\right)} b^{2} - {\left(6 \, {\left(e^{3} f m + 3 \, e^{3} f \log\left(d\right)\right)} a b + {\left(5 \, e^{3} f m n + 6 \, e^{3} f n \log\left(d\right) + 6 \, {\left(e^{3} f m + 3 \, e^{3} f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{2}\right)} x - 6 \, {\left(b^{2} f^{4} m n x^{4} + b^{2} e f^{3} m n x^{3}\right)} \log\left(f x + e\right) + 6 \, {\left(b^{2} f^{4} m n x^{4} + b^{2} e f^{3} m n x^{3}\right)} \log\left(x\right)\right)} \log\left(x^{n}\right)}{27 \, {\left(e^{3} f x^{5} + e^{4} x^{4}\right)}}\,{d x}"," ",0,"-1/54*(9*(2*b^2*f^3*m*x^3*log(f*x + e) - 2*b^2*f^3*m*x^3*log(x) - 2*b^2*e*f^2*m*x^2 + b^2*e^2*f*m*x + 2*b^2*e^3*log(d))*log(x^n)^2 + 2*(9*b^2*e^3*log(x^n)^2 + 9*a^2*e^3 + 6*(e^3*n + 3*e^3*log(c))*a*b + (2*e^3*n^2 + 6*e^3*n*log(c) + 9*e^3*log(c)^2)*b^2 + 6*(3*a*b*e^3 + (e^3*n + 3*e^3*log(c))*b^2)*log(x^n))*log((f*x + e)^m))/(e^3*x^3) + integrate(1/27*(27*b^2*e^4*log(c)^2*log(d) + 54*a*b*e^4*log(c)*log(d) + 27*a^2*e^4*log(d) + (9*(e^3*f*m + 3*e^3*f*log(d))*a^2 + 6*(e^3*f*m*n + 3*(e^3*f*m + 3*e^3*f*log(d))*log(c))*a*b + (2*e^3*f*m*n^2 + 6*e^3*f*m*n*log(c) + 9*(e^3*f*m + 3*e^3*f*log(d))*log(c)^2)*b^2)*x - 3*(6*b^2*e*f^3*m*n*x^3 + 3*b^2*e^2*f^2*m*n*x^2 - 18*a*b*e^4*log(d) - 6*(e^4*n*log(d) + 3*e^4*log(c)*log(d))*b^2 - (6*(e^3*f*m + 3*e^3*f*log(d))*a*b + (5*e^3*f*m*n + 6*e^3*f*n*log(d) + 6*(e^3*f*m + 3*e^3*f*log(d))*log(c))*b^2)*x - 6*(b^2*f^4*m*n*x^4 + b^2*e*f^3*m*n*x^3)*log(f*x + e) + 6*(b^2*f^4*m*n*x^4 + b^2*e*f^3*m*n*x^3)*log(x))*log(x^n))/(e^3*f*x^5 + e^4*x^4), x)","F",0
85,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^3*log(d*(f*x+e)^m),x, algorithm=""maxima"")","\frac{2 \, {\left(2 \, b^{3} e f m x - 2 \, b^{3} e^{2} m \log\left(f x + e\right) - {\left(f^{2} m - 2 \, f^{2} \log\left(d\right)\right)} b^{3} x^{2}\right)} \log\left(x^{n}\right)^{3} + {\left(4 \, b^{3} f^{2} x^{2} \log\left(x^{n}\right)^{3} + 6 \, {\left(2 \, a b^{2} f^{2} - {\left(f^{2} n - 2 \, f^{2} \log\left(c\right)\right)} b^{3}\right)} x^{2} \log\left(x^{n}\right)^{2} + 6 \, {\left(2 \, a^{2} b f^{2} - 2 \, {\left(f^{2} n - 2 \, f^{2} \log\left(c\right)\right)} a b^{2} + {\left(f^{2} n^{2} - 2 \, f^{2} n \log\left(c\right) + 2 \, f^{2} \log\left(c\right)^{2}\right)} b^{3}\right)} x^{2} \log\left(x^{n}\right) + {\left(4 \, a^{3} f^{2} - 6 \, {\left(f^{2} n - 2 \, f^{2} \log\left(c\right)\right)} a^{2} b + 6 \, {\left(f^{2} n^{2} - 2 \, f^{2} n \log\left(c\right) + 2 \, f^{2} \log\left(c\right)^{2}\right)} a b^{2} - {\left(3 \, f^{2} n^{3} - 6 \, f^{2} n^{2} \log\left(c\right) + 6 \, f^{2} n \log\left(c\right)^{2} - 4 \, f^{2} \log\left(c\right)^{3}\right)} b^{3}\right)} x^{2}\right)} \log\left({\left(f x + e\right)}^{m}\right)}{8 \, f^{2}} + \int -\frac{{\left(4 \, {\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} a^{3} - 6 \, {\left(f^{3} m n - 2 \, {\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} \log\left(c\right)\right)} a^{2} b + 6 \, {\left(f^{3} m n^{2} - 2 \, f^{3} m n \log\left(c\right) + 2 \, {\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} a b^{2} - {\left(3 \, f^{3} m n^{3} - 6 \, f^{3} m n^{2} \log\left(c\right) + 6 \, f^{3} m n \log\left(c\right)^{2} - 4 \, {\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} \log\left(c\right)^{3}\right)} b^{3}\right)} x^{3} - 8 \, {\left(b^{3} e f^{2} \log\left(c\right)^{3} \log\left(d\right) + 3 \, a b^{2} e f^{2} \log\left(c\right)^{2} \log\left(d\right) + 3 \, a^{2} b e f^{2} \log\left(c\right) \log\left(d\right) + a^{3} e f^{2} \log\left(d\right)\right)} x^{2} + 6 \, {\left(2 \, b^{3} e^{2} f m n x + 2 \, {\left({\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} a b^{2} - {\left(f^{3} m n - f^{3} n \log\left(d\right) - {\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} \log\left(c\right)\right)} b^{3}\right)} x^{3} - {\left(4 \, a b^{2} e f^{2} \log\left(d\right) - {\left(e f^{2} m n + 2 \, e f^{2} n \log\left(d\right) - 4 \, e f^{2} \log\left(c\right) \log\left(d\right)\right)} b^{3}\right)} x^{2} - 2 \, {\left(b^{3} e^{2} f m n x + b^{3} e^{3} m n\right)} \log\left(f x + e\right)\right)} \log\left(x^{n}\right)^{2} + 6 \, {\left({\left(2 \, {\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} a^{2} b - 2 \, {\left(f^{3} m n - 2 \, {\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} \log\left(c\right)\right)} a b^{2} + {\left(f^{3} m n^{2} - 2 \, f^{3} m n \log\left(c\right) + 2 \, {\left(f^{3} m - 2 \, f^{3} \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{3}\right)} x^{3} - 4 \, {\left(b^{3} e f^{2} \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b^{2} e f^{2} \log\left(c\right) \log\left(d\right) + a^{2} b e f^{2} \log\left(d\right)\right)} x^{2}\right)} \log\left(x^{n}\right)}{8 \, {\left(f^{3} x^{2} + e f^{2} x\right)}}\,{d x}"," ",0,"1/8*(2*(2*b^3*e*f*m*x - 2*b^3*e^2*m*log(f*x + e) - (f^2*m - 2*f^2*log(d))*b^3*x^2)*log(x^n)^3 + (4*b^3*f^2*x^2*log(x^n)^3 + 6*(2*a*b^2*f^2 - (f^2*n - 2*f^2*log(c))*b^3)*x^2*log(x^n)^2 + 6*(2*a^2*b*f^2 - 2*(f^2*n - 2*f^2*log(c))*a*b^2 + (f^2*n^2 - 2*f^2*n*log(c) + 2*f^2*log(c)^2)*b^3)*x^2*log(x^n) + (4*a^3*f^2 - 6*(f^2*n - 2*f^2*log(c))*a^2*b + 6*(f^2*n^2 - 2*f^2*n*log(c) + 2*f^2*log(c)^2)*a*b^2 - (3*f^2*n^3 - 6*f^2*n^2*log(c) + 6*f^2*n*log(c)^2 - 4*f^2*log(c)^3)*b^3)*x^2)*log((f*x + e)^m))/f^2 + integrate(-1/8*((4*(f^3*m - 2*f^3*log(d))*a^3 - 6*(f^3*m*n - 2*(f^3*m - 2*f^3*log(d))*log(c))*a^2*b + 6*(f^3*m*n^2 - 2*f^3*m*n*log(c) + 2*(f^3*m - 2*f^3*log(d))*log(c)^2)*a*b^2 - (3*f^3*m*n^3 - 6*f^3*m*n^2*log(c) + 6*f^3*m*n*log(c)^2 - 4*(f^3*m - 2*f^3*log(d))*log(c)^3)*b^3)*x^3 - 8*(b^3*e*f^2*log(c)^3*log(d) + 3*a*b^2*e*f^2*log(c)^2*log(d) + 3*a^2*b*e*f^2*log(c)*log(d) + a^3*e*f^2*log(d))*x^2 + 6*(2*b^3*e^2*f*m*n*x + 2*((f^3*m - 2*f^3*log(d))*a*b^2 - (f^3*m*n - f^3*n*log(d) - (f^3*m - 2*f^3*log(d))*log(c))*b^3)*x^3 - (4*a*b^2*e*f^2*log(d) - (e*f^2*m*n + 2*e*f^2*n*log(d) - 4*e*f^2*log(c)*log(d))*b^3)*x^2 - 2*(b^3*e^2*f*m*n*x + b^3*e^3*m*n)*log(f*x + e))*log(x^n)^2 + 6*((2*(f^3*m - 2*f^3*log(d))*a^2*b - 2*(f^3*m*n - 2*(f^3*m - 2*f^3*log(d))*log(c))*a*b^2 + (f^3*m*n^2 - 2*f^3*m*n*log(c) + 2*(f^3*m - 2*f^3*log(d))*log(c)^2)*b^3)*x^3 - 4*(b^3*e*f^2*log(c)^2*log(d) + 2*a*b^2*e*f^2*log(c)*log(d) + a^2*b*e*f^2*log(d))*x^2)*log(x^n))/(f^3*x^2 + e*f^2*x), x)","F",0
86,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x+e)^m),x, algorithm=""maxima"")","\frac{{\left(b^{3} e m \log\left(f x + e\right) - {\left(f m - f \log\left(d\right)\right)} b^{3} x\right)} \log\left(x^{n}\right)^{3} + {\left(b^{3} f x \log\left(x^{n}\right)^{3} - 3 \, {\left({\left(f n - f \log\left(c\right)\right)} b^{3} - a b^{2} f\right)} x \log\left(x^{n}\right)^{2} - 3 \, {\left(2 \, {\left(f n - f \log\left(c\right)\right)} a b^{2} - {\left(2 \, f n^{2} - 2 \, f n \log\left(c\right) + f \log\left(c\right)^{2}\right)} b^{3} - a^{2} b f\right)} x \log\left(x^{n}\right) - {\left(3 \, {\left(f n - f \log\left(c\right)\right)} a^{2} b - 3 \, {\left(2 \, f n^{2} - 2 \, f n \log\left(c\right) + f \log\left(c\right)^{2}\right)} a b^{2} + {\left(6 \, f n^{3} - 6 \, f n^{2} \log\left(c\right) + 3 \, f n \log\left(c\right)^{2} - f \log\left(c\right)^{3}\right)} b^{3} - a^{3} f\right)} x\right)} \log\left({\left(f x + e\right)}^{m}\right)}{f} - \int \frac{{\left({\left(f^{2} m - f^{2} \log\left(d\right)\right)} a^{3} - 3 \, {\left(f^{2} m n - {\left(f^{2} m - f^{2} \log\left(d\right)\right)} \log\left(c\right)\right)} a^{2} b + 3 \, {\left(2 \, f^{2} m n^{2} - 2 \, f^{2} m n \log\left(c\right) + {\left(f^{2} m - f^{2} \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} a b^{2} - {\left(6 \, f^{2} m n^{3} - 6 \, f^{2} m n^{2} \log\left(c\right) + 3 \, f^{2} m n \log\left(c\right)^{2} - {\left(f^{2} m - f^{2} \log\left(d\right)\right)} \log\left(c\right)^{3}\right)} b^{3}\right)} x^{2} + 3 \, {\left({\left({\left(f^{2} m - f^{2} \log\left(d\right)\right)} a b^{2} - {\left(2 \, f^{2} m n - f^{2} n \log\left(d\right) - {\left(f^{2} m - f^{2} \log\left(d\right)\right)} \log\left(c\right)\right)} b^{3}\right)} x^{2} - {\left(a b^{2} e f \log\left(d\right) + {\left(e f m n - e f n \log\left(d\right) + e f \log\left(c\right) \log\left(d\right)\right)} b^{3}\right)} x + {\left(b^{3} e f m n x + b^{3} e^{2} m n\right)} \log\left(f x + e\right)\right)} \log\left(x^{n}\right)^{2} - {\left(b^{3} e f \log\left(c\right)^{3} \log\left(d\right) + 3 \, a b^{2} e f \log\left(c\right)^{2} \log\left(d\right) + 3 \, a^{2} b e f \log\left(c\right) \log\left(d\right) + a^{3} e f \log\left(d\right)\right)} x + 3 \, {\left({\left({\left(f^{2} m - f^{2} \log\left(d\right)\right)} a^{2} b - 2 \, {\left(f^{2} m n - {\left(f^{2} m - f^{2} \log\left(d\right)\right)} \log\left(c\right)\right)} a b^{2} + {\left(2 \, f^{2} m n^{2} - 2 \, f^{2} m n \log\left(c\right) + {\left(f^{2} m - f^{2} \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{3}\right)} x^{2} - {\left(b^{3} e f \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b^{2} e f \log\left(c\right) \log\left(d\right) + a^{2} b e f \log\left(d\right)\right)} x\right)} \log\left(x^{n}\right)}{f^{2} x^{2} + e f x}\,{d x}"," ",0,"((b^3*e*m*log(f*x + e) - (f*m - f*log(d))*b^3*x)*log(x^n)^3 + (b^3*f*x*log(x^n)^3 - 3*((f*n - f*log(c))*b^3 - a*b^2*f)*x*log(x^n)^2 - 3*(2*(f*n - f*log(c))*a*b^2 - (2*f*n^2 - 2*f*n*log(c) + f*log(c)^2)*b^3 - a^2*b*f)*x*log(x^n) - (3*(f*n - f*log(c))*a^2*b - 3*(2*f*n^2 - 2*f*n*log(c) + f*log(c)^2)*a*b^2 + (6*f*n^3 - 6*f*n^2*log(c) + 3*f*n*log(c)^2 - f*log(c)^3)*b^3 - a^3*f)*x)*log((f*x + e)^m))/f - integrate((((f^2*m - f^2*log(d))*a^3 - 3*(f^2*m*n - (f^2*m - f^2*log(d))*log(c))*a^2*b + 3*(2*f^2*m*n^2 - 2*f^2*m*n*log(c) + (f^2*m - f^2*log(d))*log(c)^2)*a*b^2 - (6*f^2*m*n^3 - 6*f^2*m*n^2*log(c) + 3*f^2*m*n*log(c)^2 - (f^2*m - f^2*log(d))*log(c)^3)*b^3)*x^2 + 3*(((f^2*m - f^2*log(d))*a*b^2 - (2*f^2*m*n - f^2*n*log(d) - (f^2*m - f^2*log(d))*log(c))*b^3)*x^2 - (a*b^2*e*f*log(d) + (e*f*m*n - e*f*n*log(d) + e*f*log(c)*log(d))*b^3)*x + (b^3*e*f*m*n*x + b^3*e^2*m*n)*log(f*x + e))*log(x^n)^2 - (b^3*e*f*log(c)^3*log(d) + 3*a*b^2*e*f*log(c)^2*log(d) + 3*a^2*b*e*f*log(c)*log(d) + a^3*e*f*log(d))*x + 3*(((f^2*m - f^2*log(d))*a^2*b - 2*(f^2*m*n - (f^2*m - f^2*log(d))*log(c))*a*b^2 + (2*f^2*m*n^2 - 2*f^2*m*n*log(c) + (f^2*m - f^2*log(d))*log(c)^2)*b^3)*x^2 - (b^3*e*f*log(c)^2*log(d) + 2*a*b^2*e*f*log(c)*log(d) + a^2*b*e*f*log(d))*x)*log(x^n))/(f^2*x^2 + e*f*x), x)","F",0
87,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x+e)^m)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(b^{3} n^{3} \log\left(x\right)^{4} - 4 \, b^{3} \log\left(x\right) \log\left(x^{n}\right)^{3} - 4 \, {\left(b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} \log\left(x\right)^{3} + 6 \, {\left(b^{3} n \log\left(c\right)^{2} + 2 \, a b^{2} n \log\left(c\right) + a^{2} b n\right)} \log\left(x\right)^{2} + 6 \, {\left(b^{3} n \log\left(x\right)^{2} - 2 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left(x\right)\right)} \log\left(x^{n}\right)^{2} - 4 \, {\left(b^{3} n^{2} \log\left(x\right)^{3} - 3 \, {\left(b^{3} n \log\left(c\right) + a b^{2} n\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} + 2 \, a b^{2} \log\left(c\right) + a^{2} b\right)} \log\left(x\right)\right)} \log\left(x^{n}\right) - 4 \, {\left(b^{3} \log\left(c\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + a^{3}\right)} \log\left(x\right)\right)} \log\left({\left(f x + e\right)}^{m}\right) - \int -\frac{b^{3} f m n^{3} x \log\left(x\right)^{4} + 4 \, b^{3} e \log\left(c\right)^{3} \log\left(d\right) + 12 \, a b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 12 \, a^{2} b e \log\left(c\right) \log\left(d\right) + 4 \, a^{3} e \log\left(d\right) - 4 \, {\left(b^{3} f m n^{2} \log\left(c\right) + a b^{2} f m n^{2}\right)} x \log\left(x\right)^{3} + 6 \, {\left(b^{3} f m n \log\left(c\right)^{2} + 2 \, a b^{2} f m n \log\left(c\right) + a^{2} b f m n\right)} x \log\left(x\right)^{2} - 4 \, {\left(b^{3} f m x \log\left(x\right) - b^{3} f x \log\left(d\right) - b^{3} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{3} - 4 \, {\left(b^{3} f m \log\left(c\right)^{3} + 3 \, a b^{2} f m \log\left(c\right)^{2} + 3 \, a^{2} b f m \log\left(c\right) + a^{3} f m\right)} x \log\left(x\right) + 6 \, {\left(b^{3} f m n x \log\left(x\right)^{2} + 2 \, b^{3} e \log\left(c\right) \log\left(d\right) + 2 \, a b^{2} e \log\left(d\right) - 2 \, {\left(b^{3} f m \log\left(c\right) + a b^{2} f m\right)} x \log\left(x\right) + 2 \, {\left(b^{3} f \log\left(c\right) \log\left(d\right) + a b^{2} f \log\left(d\right)\right)} x\right)} \log\left(x^{n}\right)^{2} + 4 \, {\left(b^{3} f \log\left(c\right)^{3} \log\left(d\right) + 3 \, a b^{2} f \log\left(c\right)^{2} \log\left(d\right) + 3 \, a^{2} b f \log\left(c\right) \log\left(d\right) + a^{3} f \log\left(d\right)\right)} x - 4 \, {\left(b^{3} f m n^{2} x \log\left(x\right)^{3} - 3 \, b^{3} e \log\left(c\right)^{2} \log\left(d\right) - 6 \, a b^{2} e \log\left(c\right) \log\left(d\right) - 3 \, a^{2} b e \log\left(d\right) - 3 \, {\left(b^{3} f m n \log\left(c\right) + a b^{2} f m n\right)} x \log\left(x\right)^{2} + 3 \, {\left(b^{3} f m \log\left(c\right)^{2} + 2 \, a b^{2} f m \log\left(c\right) + a^{2} b f m\right)} x \log\left(x\right) - 3 \, {\left(b^{3} f \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b^{2} f \log\left(c\right) \log\left(d\right) + a^{2} b f \log\left(d\right)\right)} x\right)} \log\left(x^{n}\right)}{4 \, {\left(f x^{2} + e x\right)}}\,{d x}"," ",0,"-1/4*(b^3*n^3*log(x)^4 - 4*b^3*log(x)*log(x^n)^3 - 4*(b^3*n^2*log(c) + a*b^2*n^2)*log(x)^3 + 6*(b^3*n*log(c)^2 + 2*a*b^2*n*log(c) + a^2*b*n)*log(x)^2 + 6*(b^3*n*log(x)^2 - 2*(b^3*log(c) + a*b^2)*log(x))*log(x^n)^2 - 4*(b^3*n^2*log(x)^3 - 3*(b^3*n*log(c) + a*b^2*n)*log(x)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(x))*log(x^n) - 4*(b^3*log(c)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + a^3)*log(x))*log((f*x + e)^m) - integrate(-1/4*(b^3*f*m*n^3*x*log(x)^4 + 4*b^3*e*log(c)^3*log(d) + 12*a*b^2*e*log(c)^2*log(d) + 12*a^2*b*e*log(c)*log(d) + 4*a^3*e*log(d) - 4*(b^3*f*m*n^2*log(c) + a*b^2*f*m*n^2)*x*log(x)^3 + 6*(b^3*f*m*n*log(c)^2 + 2*a*b^2*f*m*n*log(c) + a^2*b*f*m*n)*x*log(x)^2 - 4*(b^3*f*m*x*log(x) - b^3*f*x*log(d) - b^3*e*log(d))*log(x^n)^3 - 4*(b^3*f*m*log(c)^3 + 3*a*b^2*f*m*log(c)^2 + 3*a^2*b*f*m*log(c) + a^3*f*m)*x*log(x) + 6*(b^3*f*m*n*x*log(x)^2 + 2*b^3*e*log(c)*log(d) + 2*a*b^2*e*log(d) - 2*(b^3*f*m*log(c) + a*b^2*f*m)*x*log(x) + 2*(b^3*f*log(c)*log(d) + a*b^2*f*log(d))*x)*log(x^n)^2 + 4*(b^3*f*log(c)^3*log(d) + 3*a*b^2*f*log(c)^2*log(d) + 3*a^2*b*f*log(c)*log(d) + a^3*f*log(d))*x - 4*(b^3*f*m*n^2*x*log(x)^3 - 3*b^3*e*log(c)^2*log(d) - 6*a*b^2*e*log(c)*log(d) - 3*a^2*b*e*log(d) - 3*(b^3*f*m*n*log(c) + a*b^2*f*m*n)*x*log(x)^2 + 3*(b^3*f*m*log(c)^2 + 2*a*b^2*f*m*log(c) + a^2*b*f*m)*x*log(x) - 3*(b^3*f*log(c)^2*log(d) + 2*a*b^2*f*log(c)*log(d) + a^2*b*f*log(d))*x)*log(x^n))/(f*x^2 + e*x), x)","F",0
88,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x+e)^m)/x^2,x, algorithm=""maxima"")","-\frac{{\left(b^{3} f m x \log\left(f x + e\right) - b^{3} f m x \log\left(x\right) + b^{3} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{3} + {\left(b^{3} e \log\left(x^{n}\right)^{3} + 3 \, {\left(e n + e \log\left(c\right)\right)} a^{2} b + 3 \, {\left(2 \, e n^{2} + 2 \, e n \log\left(c\right) + e \log\left(c\right)^{2}\right)} a b^{2} + {\left(6 \, e n^{3} + 6 \, e n^{2} \log\left(c\right) + 3 \, e n \log\left(c\right)^{2} + e \log\left(c\right)^{3}\right)} b^{3} + a^{3} e + 3 \, {\left({\left(e n + e \log\left(c\right)\right)} b^{3} + a b^{2} e\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left(2 \, {\left(e n + e \log\left(c\right)\right)} a b^{2} + {\left(2 \, e n^{2} + 2 \, e n \log\left(c\right) + e \log\left(c\right)^{2}\right)} b^{3} + a^{2} b e\right)} \log\left(x^{n}\right)\right)} \log\left({\left(f x + e\right)}^{m}\right)}{e x} + \int \frac{b^{3} e^{2} \log\left(c\right)^{3} \log\left(d\right) + 3 \, a b^{2} e^{2} \log\left(c\right)^{2} \log\left(d\right) + 3 \, a^{2} b e^{2} \log\left(c\right) \log\left(d\right) + a^{3} e^{2} \log\left(d\right) + 3 \, {\left(a b^{2} e^{2} \log\left(d\right) + {\left(e^{2} n \log\left(d\right) + e^{2} \log\left(c\right) \log\left(d\right)\right)} b^{3} + {\left({\left(e f m + e f \log\left(d\right)\right)} a b^{2} + {\left(e f m n + e f n \log\left(d\right) + {\left(e f m + e f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{3}\right)} x + {\left(b^{3} f^{2} m n x^{2} + b^{3} e f m n x\right)} \log\left(f x + e\right) - {\left(b^{3} f^{2} m n x^{2} + b^{3} e f m n x\right)} \log\left(x\right)\right)} \log\left(x^{n}\right)^{2} + {\left({\left(e f m + e f \log\left(d\right)\right)} a^{3} + 3 \, {\left(e f m n + {\left(e f m + e f \log\left(d\right)\right)} \log\left(c\right)\right)} a^{2} b + 3 \, {\left(2 \, e f m n^{2} + 2 \, e f m n \log\left(c\right) + {\left(e f m + e f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} a b^{2} + {\left(6 \, e f m n^{3} + 6 \, e f m n^{2} \log\left(c\right) + 3 \, e f m n \log\left(c\right)^{2} + {\left(e f m + e f \log\left(d\right)\right)} \log\left(c\right)^{3}\right)} b^{3}\right)} x + 3 \, {\left(b^{3} e^{2} \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b^{2} e^{2} \log\left(c\right) \log\left(d\right) + a^{2} b e^{2} \log\left(d\right) + {\left({\left(e f m + e f \log\left(d\right)\right)} a^{2} b + 2 \, {\left(e f m n + {\left(e f m + e f \log\left(d\right)\right)} \log\left(c\right)\right)} a b^{2} + {\left(2 \, e f m n^{2} + 2 \, e f m n \log\left(c\right) + {\left(e f m + e f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{3}\right)} x\right)} \log\left(x^{n}\right)}{e f x^{3} + e^{2} x^{2}}\,{d x}"," ",0,"-((b^3*f*m*x*log(f*x + e) - b^3*f*m*x*log(x) + b^3*e*log(d))*log(x^n)^3 + (b^3*e*log(x^n)^3 + 3*(e*n + e*log(c))*a^2*b + 3*(2*e*n^2 + 2*e*n*log(c) + e*log(c)^2)*a*b^2 + (6*e*n^3 + 6*e*n^2*log(c) + 3*e*n*log(c)^2 + e*log(c)^3)*b^3 + a^3*e + 3*((e*n + e*log(c))*b^3 + a*b^2*e)*log(x^n)^2 + 3*(2*(e*n + e*log(c))*a*b^2 + (2*e*n^2 + 2*e*n*log(c) + e*log(c)^2)*b^3 + a^2*b*e)*log(x^n))*log((f*x + e)^m))/(e*x) + integrate((b^3*e^2*log(c)^3*log(d) + 3*a*b^2*e^2*log(c)^2*log(d) + 3*a^2*b*e^2*log(c)*log(d) + a^3*e^2*log(d) + 3*(a*b^2*e^2*log(d) + (e^2*n*log(d) + e^2*log(c)*log(d))*b^3 + ((e*f*m + e*f*log(d))*a*b^2 + (e*f*m*n + e*f*n*log(d) + (e*f*m + e*f*log(d))*log(c))*b^3)*x + (b^3*f^2*m*n*x^2 + b^3*e*f*m*n*x)*log(f*x + e) - (b^3*f^2*m*n*x^2 + b^3*e*f*m*n*x)*log(x))*log(x^n)^2 + ((e*f*m + e*f*log(d))*a^3 + 3*(e*f*m*n + (e*f*m + e*f*log(d))*log(c))*a^2*b + 3*(2*e*f*m*n^2 + 2*e*f*m*n*log(c) + (e*f*m + e*f*log(d))*log(c)^2)*a*b^2 + (6*e*f*m*n^3 + 6*e*f*m*n^2*log(c) + 3*e*f*m*n*log(c)^2 + (e*f*m + e*f*log(d))*log(c)^3)*b^3)*x + 3*(b^3*e^2*log(c)^2*log(d) + 2*a*b^2*e^2*log(c)*log(d) + a^2*b*e^2*log(d) + ((e*f*m + e*f*log(d))*a^2*b + 2*(e*f*m*n + (e*f*m + e*f*log(d))*log(c))*a*b^2 + (2*e*f*m*n^2 + 2*e*f*m*n*log(c) + (e*f*m + e*f*log(d))*log(c)^2)*b^3)*x)*log(x^n))/(e*f*x^3 + e^2*x^2), x)","F",0
89,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x+e)^m)/x^3,x, algorithm=""maxima"")","\frac{4 \, {\left(b^{3} f^{2} m x^{2} \log\left(f x + e\right) - b^{3} f^{2} m x^{2} \log\left(x\right) - b^{3} e f m x - b^{3} e^{2} \log\left(d\right)\right)} \log\left(x^{n}\right)^{3} - {\left(4 \, b^{3} e^{2} \log\left(x^{n}\right)^{3} + 4 \, a^{3} e^{2} + 6 \, {\left(e^{2} n + 2 \, e^{2} \log\left(c\right)\right)} a^{2} b + 6 \, {\left(e^{2} n^{2} + 2 \, e^{2} n \log\left(c\right) + 2 \, e^{2} \log\left(c\right)^{2}\right)} a b^{2} + {\left(3 \, e^{2} n^{3} + 6 \, e^{2} n^{2} \log\left(c\right) + 6 \, e^{2} n \log\left(c\right)^{2} + 4 \, e^{2} \log\left(c\right)^{3}\right)} b^{3} + 6 \, {\left(2 \, a b^{2} e^{2} + {\left(e^{2} n + 2 \, e^{2} \log\left(c\right)\right)} b^{3}\right)} \log\left(x^{n}\right)^{2} + 6 \, {\left(2 \, a^{2} b e^{2} + 2 \, {\left(e^{2} n + 2 \, e^{2} \log\left(c\right)\right)} a b^{2} + {\left(e^{2} n^{2} + 2 \, e^{2} n \log\left(c\right) + 2 \, e^{2} \log\left(c\right)^{2}\right)} b^{3}\right)} \log\left(x^{n}\right)\right)} \log\left({\left(f x + e\right)}^{m}\right)}{8 \, e^{2} x^{2}} - \int -\frac{8 \, b^{3} e^{3} \log\left(c\right)^{3} \log\left(d\right) + 24 \, a b^{2} e^{3} \log\left(c\right)^{2} \log\left(d\right) + 24 \, a^{2} b e^{3} \log\left(c\right) \log\left(d\right) + 8 \, a^{3} e^{3} \log\left(d\right) + 6 \, {\left(2 \, b^{3} e f^{2} m n x^{2} + 4 \, a b^{2} e^{3} \log\left(d\right) + 2 \, {\left(e^{3} n \log\left(d\right) + 2 \, e^{3} \log\left(c\right) \log\left(d\right)\right)} b^{3} + {\left(2 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} a b^{2} + {\left(3 \, e^{2} f m n + 2 \, e^{2} f n \log\left(d\right) + 2 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{3}\right)} x - 2 \, {\left(b^{3} f^{3} m n x^{3} + b^{3} e f^{2} m n x^{2}\right)} \log\left(f x + e\right) + 2 \, {\left(b^{3} f^{3} m n x^{3} + b^{3} e f^{2} m n x^{2}\right)} \log\left(x\right)\right)} \log\left(x^{n}\right)^{2} + {\left(4 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} a^{3} + 6 \, {\left(e^{2} f m n + 2 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} \log\left(c\right)\right)} a^{2} b + 6 \, {\left(e^{2} f m n^{2} + 2 \, e^{2} f m n \log\left(c\right) + 2 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} a b^{2} + {\left(3 \, e^{2} f m n^{3} + 6 \, e^{2} f m n^{2} \log\left(c\right) + 6 \, e^{2} f m n \log\left(c\right)^{2} + 4 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} \log\left(c\right)^{3}\right)} b^{3}\right)} x + 6 \, {\left(4 \, b^{3} e^{3} \log\left(c\right)^{2} \log\left(d\right) + 8 \, a b^{2} e^{3} \log\left(c\right) \log\left(d\right) + 4 \, a^{2} b e^{3} \log\left(d\right) + {\left(2 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} a^{2} b + 2 \, {\left(e^{2} f m n + 2 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} \log\left(c\right)\right)} a b^{2} + {\left(e^{2} f m n^{2} + 2 \, e^{2} f m n \log\left(c\right) + 2 \, {\left(e^{2} f m + 2 \, e^{2} f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{3}\right)} x\right)} \log\left(x^{n}\right)}{8 \, {\left(e^{2} f x^{4} + e^{3} x^{3}\right)}}\,{d x}"," ",0,"1/8*(4*(b^3*f^2*m*x^2*log(f*x + e) - b^3*f^2*m*x^2*log(x) - b^3*e*f*m*x - b^3*e^2*log(d))*log(x^n)^3 - (4*b^3*e^2*log(x^n)^3 + 4*a^3*e^2 + 6*(e^2*n + 2*e^2*log(c))*a^2*b + 6*(e^2*n^2 + 2*e^2*n*log(c) + 2*e^2*log(c)^2)*a*b^2 + (3*e^2*n^3 + 6*e^2*n^2*log(c) + 6*e^2*n*log(c)^2 + 4*e^2*log(c)^3)*b^3 + 6*(2*a*b^2*e^2 + (e^2*n + 2*e^2*log(c))*b^3)*log(x^n)^2 + 6*(2*a^2*b*e^2 + 2*(e^2*n + 2*e^2*log(c))*a*b^2 + (e^2*n^2 + 2*e^2*n*log(c) + 2*e^2*log(c)^2)*b^3)*log(x^n))*log((f*x + e)^m))/(e^2*x^2) - integrate(-1/8*(8*b^3*e^3*log(c)^3*log(d) + 24*a*b^2*e^3*log(c)^2*log(d) + 24*a^2*b*e^3*log(c)*log(d) + 8*a^3*e^3*log(d) + 6*(2*b^3*e*f^2*m*n*x^2 + 4*a*b^2*e^3*log(d) + 2*(e^3*n*log(d) + 2*e^3*log(c)*log(d))*b^3 + (2*(e^2*f*m + 2*e^2*f*log(d))*a*b^2 + (3*e^2*f*m*n + 2*e^2*f*n*log(d) + 2*(e^2*f*m + 2*e^2*f*log(d))*log(c))*b^3)*x - 2*(b^3*f^3*m*n*x^3 + b^3*e*f^2*m*n*x^2)*log(f*x + e) + 2*(b^3*f^3*m*n*x^3 + b^3*e*f^2*m*n*x^2)*log(x))*log(x^n)^2 + (4*(e^2*f*m + 2*e^2*f*log(d))*a^3 + 6*(e^2*f*m*n + 2*(e^2*f*m + 2*e^2*f*log(d))*log(c))*a^2*b + 6*(e^2*f*m*n^2 + 2*e^2*f*m*n*log(c) + 2*(e^2*f*m + 2*e^2*f*log(d))*log(c)^2)*a*b^2 + (3*e^2*f*m*n^3 + 6*e^2*f*m*n^2*log(c) + 6*e^2*f*m*n*log(c)^2 + 4*(e^2*f*m + 2*e^2*f*log(d))*log(c)^3)*b^3)*x + 6*(4*b^3*e^3*log(c)^2*log(d) + 8*a*b^2*e^3*log(c)*log(d) + 4*a^2*b*e^3*log(d) + (2*(e^2*f*m + 2*e^2*f*log(d))*a^2*b + 2*(e^2*f*m*n + 2*(e^2*f*m + 2*e^2*f*log(d))*log(c))*a*b^2 + (e^2*f*m*n^2 + 2*e^2*f*m*n*log(c) + 2*(e^2*f*m + 2*e^2*f*log(d))*log(c)^2)*b^3)*x)*log(x^n))/(e^2*f*x^4 + e^3*x^3), x)","F",0
90,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))*log(d*(f*x^2+e)^m),x, algorithm=""maxima"")","\frac{1}{16} \, {\left(4 \, b m x^{4} \log\left(x^{n}\right) - {\left({\left(m n - 4 \, m \log\left(c\right)\right)} b - 4 \, a m\right)} x^{4}\right)} \log\left(f x^{2} + e\right) + \int -\frac{{\left(4 \, {\left(f m - 2 \, f \log\left(d\right)\right)} a - {\left(f m n - 4 \, {\left(f m - 2 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{5} - 8 \, {\left(b e \log\left(c\right) \log\left(d\right) + a e \log\left(d\right)\right)} x^{3} + 4 \, {\left({\left(f m - 2 \, f \log\left(d\right)\right)} b x^{5} - 2 \, b e x^{3} \log\left(d\right)\right)} \log\left(x^{n}\right)}{8 \, {\left(f x^{2} + e\right)}}\,{d x}"," ",0,"1/16*(4*b*m*x^4*log(x^n) - ((m*n - 4*m*log(c))*b - 4*a*m)*x^4)*log(f*x^2 + e) + integrate(-1/8*((4*(f*m - 2*f*log(d))*a - (f*m*n - 4*(f*m - 2*f*log(d))*log(c))*b)*x^5 - 8*(b*e*log(c)*log(d) + a*e*log(d))*x^3 + 4*((f*m - 2*f*log(d))*b*x^5 - 2*b*e*x^3*log(d))*log(x^n))/(f*x^2 + e), x)","F",0
91,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))*log(d*(f*x^2+e)^m),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(2 \, b m x^{2} \log\left(x^{n}\right) - {\left({\left(m n - 2 \, m \log\left(c\right)\right)} b - 2 \, a m\right)} x^{2}\right)} \log\left(f x^{2} + e\right) + \int -\frac{{\left(2 \, {\left(f m - f \log\left(d\right)\right)} a - {\left(f m n - 2 \, {\left(f m - f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{3} - 2 \, {\left(b e \log\left(c\right) \log\left(d\right) + a e \log\left(d\right)\right)} x + 2 \, {\left({\left(f m - f \log\left(d\right)\right)} b x^{3} - b e x \log\left(d\right)\right)} \log\left(x^{n}\right)}{2 \, {\left(f x^{2} + e\right)}}\,{d x}"," ",0,"1/4*(2*b*m*x^2*log(x^n) - ((m*n - 2*m*log(c))*b - 2*a*m)*x^2)*log(f*x^2 + e) + integrate(-1/2*((2*(f*m - f*log(d))*a - (f*m*n - 2*(f*m - f*log(d))*log(c))*b)*x^3 - 2*(b*e*log(c)*log(d) + a*e*log(d))*x + 2*((f*m - f*log(d))*b*x^3 - b*e*x*log(d))*log(x^n))/(f*x^2 + e), x)","F",0
92,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(b m n \log\left(x\right)^{2} - 2 \, b m \log\left(x\right) \log\left(x^{n}\right) - 2 \, {\left(b m \log\left(c\right) + a m\right)} \log\left(x\right)\right)} \log\left(f x^{2} + e\right) - \int -\frac{b f m n x^{2} \log\left(x\right)^{2} + b e \log\left(c\right) \log\left(d\right) - 2 \, {\left(b f m \log\left(c\right) + a f m\right)} x^{2} \log\left(x\right) + {\left(b f \log\left(c\right) \log\left(d\right) + a f \log\left(d\right)\right)} x^{2} + a e \log\left(d\right) - {\left(2 \, b f m x^{2} \log\left(x\right) - b f x^{2} \log\left(d\right) - b e \log\left(d\right)\right)} \log\left(x^{n}\right)}{f x^{3} + e x}\,{d x}"," ",0,"-1/2*(b*m*n*log(x)^2 - 2*b*m*log(x)*log(x^n) - 2*(b*m*log(c) + a*m)*log(x))*log(f*x^2 + e) - integrate(-(b*f*m*n*x^2*log(x)^2 + b*e*log(c)*log(d) - 2*(b*f*m*log(c) + a*f*m)*x^2*log(x) + (b*f*log(c)*log(d) + a*f*log(d))*x^2 + a*e*log(d) - (2*b*f*m*x^2*log(x) - b*f*x^2*log(d) - b*e*log(d))*log(x^n))/(f*x^3 + e*x), x)","F",0
93,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m)/x^3,x, algorithm=""maxima"")","-\frac{{\left(2 \, b m \log\left(x^{n}\right) + {\left(m n + 2 \, m \log\left(c\right)\right)} b + 2 \, a m\right)} \log\left(f x^{2} + e\right)}{4 \, x^{2}} + \int \frac{2 \, b e \log\left(c\right) \log\left(d\right) + {\left(2 \, {\left(f m + f \log\left(d\right)\right)} a + {\left(f m n + 2 \, {\left(f m + f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{2} + 2 \, a e \log\left(d\right) + 2 \, {\left({\left(f m + f \log\left(d\right)\right)} b x^{2} + b e \log\left(d\right)\right)} \log\left(x^{n}\right)}{2 \, {\left(f x^{5} + e x^{3}\right)}}\,{d x}"," ",0,"-1/4*(2*b*m*log(x^n) + (m*n + 2*m*log(c))*b + 2*a*m)*log(f*x^2 + e)/x^2 + integrate(1/2*(2*b*e*log(c)*log(d) + (2*(f*m + f*log(d))*a + (f*m*n + 2*(f*m + f*log(d))*log(c))*b)*x^2 + 2*a*e*log(d) + 2*((f*m + f*log(d))*b*x^2 + b*e*log(d))*log(x^n))/(f*x^5 + e*x^3), x)","F",0
94,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m)/x^5,x, algorithm=""maxima"")","-\frac{{\left(4 \, b m \log\left(x^{n}\right) + {\left(m n + 4 \, m \log\left(c\right)\right)} b + 4 \, a m\right)} \log\left(f x^{2} + e\right)}{16 \, x^{4}} + \int \frac{8 \, b e \log\left(c\right) \log\left(d\right) + {\left(4 \, {\left(f m + 2 \, f \log\left(d\right)\right)} a + {\left(f m n + 4 \, {\left(f m + 2 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{2} + 8 \, a e \log\left(d\right) + 4 \, {\left({\left(f m + 2 \, f \log\left(d\right)\right)} b x^{2} + 2 \, b e \log\left(d\right)\right)} \log\left(x^{n}\right)}{8 \, {\left(f x^{7} + e x^{5}\right)}}\,{d x}"," ",0,"-1/16*(4*b*m*log(x^n) + (m*n + 4*m*log(c))*b + 4*a*m)*log(f*x^2 + e)/x^4 + integrate(1/8*(8*b*e*log(c)*log(d) + (4*(f*m + 2*f*log(d))*a + (f*m*n + 4*(f*m + 2*f*log(d))*log(c))*b)*x^2 + 8*a*e*log(d) + 4*((f*m + 2*f*log(d))*b*x^2 + 2*b*e*log(d))*log(x^n))/(f*x^7 + e*x^5), x)","F",0
95,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))*log(d*(f*x^2+e)^m),x, algorithm=""maxima"")","\frac{1}{9} \, {\left(3 \, b m x^{3} \log\left(x^{n}\right) - {\left({\left(m n - 3 \, m \log\left(c\right)\right)} b - 3 \, a m\right)} x^{3}\right)} \log\left(f x^{2} + e\right) + \int -\frac{{\left(3 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} a - {\left(2 \, f m n - 3 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{4} - 9 \, {\left(b e \log\left(c\right) \log\left(d\right) + a e \log\left(d\right)\right)} x^{2} + 3 \, {\left({\left(2 \, f m - 3 \, f \log\left(d\right)\right)} b x^{4} - 3 \, b e x^{2} \log\left(d\right)\right)} \log\left(x^{n}\right)}{9 \, {\left(f x^{2} + e\right)}}\,{d x}"," ",0,"1/9*(3*b*m*x^3*log(x^n) - ((m*n - 3*m*log(c))*b - 3*a*m)*x^3)*log(f*x^2 + e) + integrate(-1/9*((3*(2*f*m - 3*f*log(d))*a - (2*f*m*n - 3*(2*f*m - 3*f*log(d))*log(c))*b)*x^4 - 9*(b*e*log(c)*log(d) + a*e*log(d))*x^2 + 3*((2*f*m - 3*f*log(d))*b*x^4 - 3*b*e*x^2*log(d))*log(x^n))/(f*x^2 + e), x)","F",0
96,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m),x, algorithm=""maxima"")","{\left(b m x \log\left(x^{n}\right) - {\left({\left(m n - m \log\left(c\right)\right)} b - a m\right)} x\right)} \log\left(f x^{2} + e\right) + \int \frac{b e \log\left(c\right) \log\left(d\right) - {\left({\left(2 \, f m - f \log\left(d\right)\right)} a - {\left(2 \, f m n - {\left(2 \, f m - f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{2} + a e \log\left(d\right) - {\left({\left(2 \, f m - f \log\left(d\right)\right)} b x^{2} - b e \log\left(d\right)\right)} \log\left(x^{n}\right)}{f x^{2} + e}\,{d x}"," ",0,"(b*m*x*log(x^n) - ((m*n - m*log(c))*b - a*m)*x)*log(f*x^2 + e) + integrate((b*e*log(c)*log(d) - ((2*f*m - f*log(d))*a - (2*f*m*n - (2*f*m - f*log(d))*log(c))*b)*x^2 + a*e*log(d) - ((2*f*m - f*log(d))*b*x^2 - b*e*log(d))*log(x^n))/(f*x^2 + e), x)","F",0
97,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m)/x^2,x, algorithm=""maxima"")","-\frac{{\left(b m \log\left(x^{n}\right) + {\left(m n + m \log\left(c\right)\right)} b + a m\right)} \log\left(f x^{2} + e\right)}{x} + \int \frac{b e \log\left(c\right) \log\left(d\right) + {\left({\left(2 \, f m + f \log\left(d\right)\right)} a + {\left(2 \, f m n + {\left(2 \, f m + f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{2} + a e \log\left(d\right) + {\left({\left(2 \, f m + f \log\left(d\right)\right)} b x^{2} + b e \log\left(d\right)\right)} \log\left(x^{n}\right)}{f x^{4} + e x^{2}}\,{d x}"," ",0,"-(b*m*log(x^n) + (m*n + m*log(c))*b + a*m)*log(f*x^2 + e)/x + integrate((b*e*log(c)*log(d) + ((2*f*m + f*log(d))*a + (2*f*m*n + (2*f*m + f*log(d))*log(c))*b)*x^2 + a*e*log(d) + ((2*f*m + f*log(d))*b*x^2 + b*e*log(d))*log(x^n))/(f*x^4 + e*x^2), x)","F",0
98,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m)/x^4,x, algorithm=""maxima"")","-\frac{{\left(3 \, b m \log\left(x^{n}\right) + {\left(m n + 3 \, m \log\left(c\right)\right)} b + 3 \, a m\right)} \log\left(f x^{2} + e\right)}{9 \, x^{3}} + \int \frac{9 \, b e \log\left(c\right) \log\left(d\right) + {\left(3 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} a + {\left(2 \, f m n + 3 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{2} + 9 \, a e \log\left(d\right) + 3 \, {\left({\left(2 \, f m + 3 \, f \log\left(d\right)\right)} b x^{2} + 3 \, b e \log\left(d\right)\right)} \log\left(x^{n}\right)}{9 \, {\left(f x^{6} + e x^{4}\right)}}\,{d x}"," ",0,"-1/9*(3*b*m*log(x^n) + (m*n + 3*m*log(c))*b + 3*a*m)*log(f*x^2 + e)/x^3 + integrate(1/9*(9*b*e*log(c)*log(d) + (3*(2*f*m + 3*f*log(d))*a + (2*f*m*n + 3*(2*f*m + 3*f*log(d))*log(c))*b)*x^2 + 9*a*e*log(d) + 3*((2*f*m + 3*f*log(d))*b*x^2 + 3*b*e*log(d))*log(x^n))/(f*x^6 + e*x^4), x)","F",0
99,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(f*x^2+e)^m)/x^6,x, algorithm=""maxima"")","-\frac{{\left(5 \, b m \log\left(x^{n}\right) + {\left(m n + 5 \, m \log\left(c\right)\right)} b + 5 \, a m\right)} \log\left(f x^{2} + e\right)}{25 \, x^{5}} + \int \frac{25 \, b e \log\left(c\right) \log\left(d\right) + {\left(5 \, {\left(2 \, f m + 5 \, f \log\left(d\right)\right)} a + {\left(2 \, f m n + 5 \, {\left(2 \, f m + 5 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{2} + 25 \, a e \log\left(d\right) + 5 \, {\left({\left(2 \, f m + 5 \, f \log\left(d\right)\right)} b x^{2} + 5 \, b e \log\left(d\right)\right)} \log\left(x^{n}\right)}{25 \, {\left(f x^{8} + e x^{6}\right)}}\,{d x}"," ",0,"-1/25*(5*b*m*log(x^n) + (m*n + 5*m*log(c))*b + 5*a*m)*log(f*x^2 + e)/x^5 + integrate(1/25*(25*b*e*log(c)*log(d) + (5*(2*f*m + 5*f*log(d))*a + (2*f*m*n + 5*(2*f*m + 5*f*log(d))*log(c))*b)*x^2 + 25*a*e*log(d) + 5*((2*f*m + 5*f*log(d))*b*x^2 + 5*b*e*log(d))*log(x^n))/(f*x^8 + e*x^6), x)","F",0
100,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(2 \, b^{2} m x^{2} \log\left(x^{n}\right)^{2} - 2 \, {\left({\left(m n - 2 \, m \log\left(c\right)\right)} b^{2} - 2 \, a b m\right)} x^{2} \log\left(x^{n}\right) - {\left(2 \, {\left(m n - 2 \, m \log\left(c\right)\right)} a b - {\left(m n^{2} - 2 \, m n \log\left(c\right) + 2 \, m \log\left(c\right)^{2}\right)} b^{2} - 2 \, a^{2} m\right)} x^{2}\right)} \log\left(f x^{2} + e\right) + \int -\frac{{\left(2 \, {\left(f m - f \log\left(d\right)\right)} a^{2} - 2 \, {\left(f m n - 2 \, {\left(f m - f \log\left(d\right)\right)} \log\left(c\right)\right)} a b + {\left(f m n^{2} - 2 \, f m n \log\left(c\right) + 2 \, {\left(f m - f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{3} + 2 \, {\left({\left(f m - f \log\left(d\right)\right)} b^{2} x^{3} - b^{2} e x \log\left(d\right)\right)} \log\left(x^{n}\right)^{2} - 2 \, {\left(b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b e \log\left(c\right) \log\left(d\right) + a^{2} e \log\left(d\right)\right)} x + 2 \, {\left({\left(2 \, {\left(f m - f \log\left(d\right)\right)} a b - {\left(f m n - 2 \, {\left(f m - f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{2}\right)} x^{3} - 2 \, {\left(b^{2} e \log\left(c\right) \log\left(d\right) + a b e \log\left(d\right)\right)} x\right)} \log\left(x^{n}\right)}{2 \, {\left(f x^{2} + e\right)}}\,{d x}"," ",0,"1/4*(2*b^2*m*x^2*log(x^n)^2 - 2*((m*n - 2*m*log(c))*b^2 - 2*a*b*m)*x^2*log(x^n) - (2*(m*n - 2*m*log(c))*a*b - (m*n^2 - 2*m*n*log(c) + 2*m*log(c)^2)*b^2 - 2*a^2*m)*x^2)*log(f*x^2 + e) + integrate(-1/2*((2*(f*m - f*log(d))*a^2 - 2*(f*m*n - 2*(f*m - f*log(d))*log(c))*a*b + (f*m*n^2 - 2*f*m*n*log(c) + 2*(f*m - f*log(d))*log(c)^2)*b^2)*x^3 + 2*((f*m - f*log(d))*b^2*x^3 - b^2*e*x*log(d))*log(x^n)^2 - 2*(b^2*e*log(c)^2*log(d) + 2*a*b*e*log(c)*log(d) + a^2*e*log(d))*x + 2*((2*(f*m - f*log(d))*a*b - (f*m*n - 2*(f*m - f*log(d))*log(c))*b^2)*x^3 - 2*(b^2*e*log(c)*log(d) + a*b*e*log(d))*x)*log(x^n))/(f*x^2 + e), x)","F",0
101,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m)/x,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(b^{2} m n^{2} \log\left(x\right)^{3} + 3 \, b^{2} m \log\left(x\right) \log\left(x^{n}\right)^{2} - 3 \, {\left(b^{2} m n \log\left(c\right) + a b m n\right)} \log\left(x\right)^{2} - 3 \, {\left(b^{2} m n \log\left(x\right)^{2} - 2 \, {\left(b^{2} m \log\left(c\right) + a b m\right)} \log\left(x\right)\right)} \log\left(x^{n}\right) + 3 \, {\left(b^{2} m \log\left(c\right)^{2} + 2 \, a b m \log\left(c\right) + a^{2} m\right)} \log\left(x\right)\right)} \log\left(f x^{2} + e\right) - \int \frac{2 \, b^{2} f m n^{2} x^{2} \log\left(x\right)^{3} - 3 \, b^{2} e \log\left(c\right)^{2} \log\left(d\right) - 6 \, a b e \log\left(c\right) \log\left(d\right) - 6 \, {\left(b^{2} f m n \log\left(c\right) + a b f m n\right)} x^{2} \log\left(x\right)^{2} - 3 \, a^{2} e \log\left(d\right) + 6 \, {\left(b^{2} f m \log\left(c\right)^{2} + 2 \, a b f m \log\left(c\right) + a^{2} f m\right)} x^{2} \log\left(x\right) - 3 \, {\left(b^{2} f \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b f \log\left(c\right) \log\left(d\right) + a^{2} f \log\left(d\right)\right)} x^{2} + 3 \, {\left(2 \, b^{2} f m x^{2} \log\left(x\right) - b^{2} f x^{2} \log\left(d\right) - b^{2} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{2} - 6 \, {\left(b^{2} f m n x^{2} \log\left(x\right)^{2} + b^{2} e \log\left(c\right) \log\left(d\right) + a b e \log\left(d\right) - 2 \, {\left(b^{2} f m \log\left(c\right) + a b f m\right)} x^{2} \log\left(x\right) + {\left(b^{2} f \log\left(c\right) \log\left(d\right) + a b f \log\left(d\right)\right)} x^{2}\right)} \log\left(x^{n}\right)}{3 \, {\left(f x^{3} + e x\right)}}\,{d x}"," ",0,"1/3*(b^2*m*n^2*log(x)^3 + 3*b^2*m*log(x)*log(x^n)^2 - 3*(b^2*m*n*log(c) + a*b*m*n)*log(x)^2 - 3*(b^2*m*n*log(x)^2 - 2*(b^2*m*log(c) + a*b*m)*log(x))*log(x^n) + 3*(b^2*m*log(c)^2 + 2*a*b*m*log(c) + a^2*m)*log(x))*log(f*x^2 + e) - integrate(1/3*(2*b^2*f*m*n^2*x^2*log(x)^3 - 3*b^2*e*log(c)^2*log(d) - 6*a*b*e*log(c)*log(d) - 6*(b^2*f*m*n*log(c) + a*b*f*m*n)*x^2*log(x)^2 - 3*a^2*e*log(d) + 6*(b^2*f*m*log(c)^2 + 2*a*b*f*m*log(c) + a^2*f*m)*x^2*log(x) - 3*(b^2*f*log(c)^2*log(d) + 2*a*b*f*log(c)*log(d) + a^2*f*log(d))*x^2 + 3*(2*b^2*f*m*x^2*log(x) - b^2*f*x^2*log(d) - b^2*e*log(d))*log(x^n)^2 - 6*(b^2*f*m*n*x^2*log(x)^2 + b^2*e*log(c)*log(d) + a*b*e*log(d) - 2*(b^2*f*m*log(c) + a*b*f*m)*x^2*log(x) + (b^2*f*log(c)*log(d) + a*b*f*log(d))*x^2)*log(x^n))/(f*x^3 + e*x), x)","F",0
102,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m)/x^3,x, algorithm=""maxima"")","-\frac{{\left(2 \, b^{2} m \log\left(x^{n}\right)^{2} + 2 \, {\left(m n + 2 \, m \log\left(c\right)\right)} a b + {\left(m n^{2} + 2 \, m n \log\left(c\right) + 2 \, m \log\left(c\right)^{2}\right)} b^{2} + 2 \, a^{2} m + 2 \, {\left({\left(m n + 2 \, m \log\left(c\right)\right)} b^{2} + 2 \, a b m\right)} \log\left(x^{n}\right)\right)} \log\left(f x^{2} + e\right)}{4 \, x^{2}} + \int \frac{2 \, b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 4 \, a b e \log\left(c\right) \log\left(d\right) + 2 \, a^{2} e \log\left(d\right) + {\left(2 \, {\left(f m + f \log\left(d\right)\right)} a^{2} + 2 \, {\left(f m n + 2 \, {\left(f m + f \log\left(d\right)\right)} \log\left(c\right)\right)} a b + {\left(f m n^{2} + 2 \, f m n \log\left(c\right) + 2 \, {\left(f m + f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{2} + 2 \, {\left({\left(f m + f \log\left(d\right)\right)} b^{2} x^{2} + b^{2} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{2} + 2 \, {\left(2 \, b^{2} e \log\left(c\right) \log\left(d\right) + 2 \, a b e \log\left(d\right) + {\left(2 \, {\left(f m + f \log\left(d\right)\right)} a b + {\left(f m n + 2 \, {\left(f m + f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{2}\right)} x^{2}\right)} \log\left(x^{n}\right)}{2 \, {\left(f x^{5} + e x^{3}\right)}}\,{d x}"," ",0,"-1/4*(2*b^2*m*log(x^n)^2 + 2*(m*n + 2*m*log(c))*a*b + (m*n^2 + 2*m*n*log(c) + 2*m*log(c)^2)*b^2 + 2*a^2*m + 2*((m*n + 2*m*log(c))*b^2 + 2*a*b*m)*log(x^n))*log(f*x^2 + e)/x^2 + integrate(1/2*(2*b^2*e*log(c)^2*log(d) + 4*a*b*e*log(c)*log(d) + 2*a^2*e*log(d) + (2*(f*m + f*log(d))*a^2 + 2*(f*m*n + 2*(f*m + f*log(d))*log(c))*a*b + (f*m*n^2 + 2*f*m*n*log(c) + 2*(f*m + f*log(d))*log(c)^2)*b^2)*x^2 + 2*((f*m + f*log(d))*b^2*x^2 + b^2*e*log(d))*log(x^n)^2 + 2*(2*b^2*e*log(c)*log(d) + 2*a*b*e*log(d) + (2*(f*m + f*log(d))*a*b + (f*m*n + 2*(f*m + f*log(d))*log(c))*b^2)*x^2)*log(x^n))/(f*x^5 + e*x^3), x)","F",0
103,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m)/x^5,x, algorithm=""maxima"")","-\frac{{\left(8 \, b^{2} m \log\left(x^{n}\right)^{2} + 4 \, {\left(m n + 4 \, m \log\left(c\right)\right)} a b + {\left(m n^{2} + 4 \, m n \log\left(c\right) + 8 \, m \log\left(c\right)^{2}\right)} b^{2} + 8 \, a^{2} m + 4 \, {\left({\left(m n + 4 \, m \log\left(c\right)\right)} b^{2} + 4 \, a b m\right)} \log\left(x^{n}\right)\right)} \log\left(f x^{2} + e\right)}{32 \, x^{4}} + \int \frac{16 \, b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 32 \, a b e \log\left(c\right) \log\left(d\right) + 16 \, a^{2} e \log\left(d\right) + {\left(8 \, {\left(f m + 2 \, f \log\left(d\right)\right)} a^{2} + 4 \, {\left(f m n + 4 \, {\left(f m + 2 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} a b + {\left(f m n^{2} + 4 \, f m n \log\left(c\right) + 8 \, {\left(f m + 2 \, f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{2} + 8 \, {\left({\left(f m + 2 \, f \log\left(d\right)\right)} b^{2} x^{2} + 2 \, b^{2} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{2} + 4 \, {\left(8 \, b^{2} e \log\left(c\right) \log\left(d\right) + 8 \, a b e \log\left(d\right) + {\left(4 \, {\left(f m + 2 \, f \log\left(d\right)\right)} a b + {\left(f m n + 4 \, {\left(f m + 2 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{2}\right)} x^{2}\right)} \log\left(x^{n}\right)}{16 \, {\left(f x^{7} + e x^{5}\right)}}\,{d x}"," ",0,"-1/32*(8*b^2*m*log(x^n)^2 + 4*(m*n + 4*m*log(c))*a*b + (m*n^2 + 4*m*n*log(c) + 8*m*log(c)^2)*b^2 + 8*a^2*m + 4*((m*n + 4*m*log(c))*b^2 + 4*a*b*m)*log(x^n))*log(f*x^2 + e)/x^4 + integrate(1/16*(16*b^2*e*log(c)^2*log(d) + 32*a*b*e*log(c)*log(d) + 16*a^2*e*log(d) + (8*(f*m + 2*f*log(d))*a^2 + 4*(f*m*n + 4*(f*m + 2*f*log(d))*log(c))*a*b + (f*m*n^2 + 4*f*m*n*log(c) + 8*(f*m + 2*f*log(d))*log(c)^2)*b^2)*x^2 + 8*((f*m + 2*f*log(d))*b^2*x^2 + 2*b^2*e*log(d))*log(x^n)^2 + 4*(8*b^2*e*log(c)*log(d) + 8*a*b*e*log(d) + (4*(f*m + 2*f*log(d))*a*b + (f*m*n + 4*(f*m + 2*f*log(d))*log(c))*b^2)*x^2)*log(x^n))/(f*x^7 + e*x^5), x)","F",0
104,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m),x, algorithm=""maxima"")","\frac{1}{27} \, {\left(9 \, b^{2} m x^{3} \log\left(x^{n}\right)^{2} - 6 \, {\left({\left(m n - 3 \, m \log\left(c\right)\right)} b^{2} - 3 \, a b m\right)} x^{3} \log\left(x^{n}\right) - {\left(6 \, {\left(m n - 3 \, m \log\left(c\right)\right)} a b - {\left(2 \, m n^{2} - 6 \, m n \log\left(c\right) + 9 \, m \log\left(c\right)^{2}\right)} b^{2} - 9 \, a^{2} m\right)} x^{3}\right)} \log\left(f x^{2} + e\right) + \int -\frac{{\left(9 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} a^{2} - 6 \, {\left(2 \, f m n - 3 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} a b + {\left(4 \, f m n^{2} - 12 \, f m n \log\left(c\right) + 9 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{4} - 27 \, {\left(b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b e \log\left(c\right) \log\left(d\right) + a^{2} e \log\left(d\right)\right)} x^{2} + 9 \, {\left({\left(2 \, f m - 3 \, f \log\left(d\right)\right)} b^{2} x^{4} - 3 \, b^{2} e x^{2} \log\left(d\right)\right)} \log\left(x^{n}\right)^{2} + 6 \, {\left({\left(3 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} a b - {\left(2 \, f m n - 3 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{2}\right)} x^{4} - 9 \, {\left(b^{2} e \log\left(c\right) \log\left(d\right) + a b e \log\left(d\right)\right)} x^{2}\right)} \log\left(x^{n}\right)}{27 \, {\left(f x^{2} + e\right)}}\,{d x}"," ",0,"1/27*(9*b^2*m*x^3*log(x^n)^2 - 6*((m*n - 3*m*log(c))*b^2 - 3*a*b*m)*x^3*log(x^n) - (6*(m*n - 3*m*log(c))*a*b - (2*m*n^2 - 6*m*n*log(c) + 9*m*log(c)^2)*b^2 - 9*a^2*m)*x^3)*log(f*x^2 + e) + integrate(-1/27*((9*(2*f*m - 3*f*log(d))*a^2 - 6*(2*f*m*n - 3*(2*f*m - 3*f*log(d))*log(c))*a*b + (4*f*m*n^2 - 12*f*m*n*log(c) + 9*(2*f*m - 3*f*log(d))*log(c)^2)*b^2)*x^4 - 27*(b^2*e*log(c)^2*log(d) + 2*a*b*e*log(c)*log(d) + a^2*e*log(d))*x^2 + 9*((2*f*m - 3*f*log(d))*b^2*x^4 - 3*b^2*e*x^2*log(d))*log(x^n)^2 + 6*((3*(2*f*m - 3*f*log(d))*a*b - (2*f*m*n - 3*(2*f*m - 3*f*log(d))*log(c))*b^2)*x^4 - 9*(b^2*e*log(c)*log(d) + a*b*e*log(d))*x^2)*log(x^n))/(f*x^2 + e), x)","F",0
105,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m),x, algorithm=""maxima"")","{\left(b^{2} m x \log\left(x^{n}\right)^{2} - 2 \, {\left({\left(m n - m \log\left(c\right)\right)} b^{2} - a b m\right)} x \log\left(x^{n}\right) - {\left(2 \, {\left(m n - m \log\left(c\right)\right)} a b - {\left(2 \, m n^{2} - 2 \, m n \log\left(c\right) + m \log\left(c\right)^{2}\right)} b^{2} - a^{2} m\right)} x\right)} \log\left(f x^{2} + e\right) + \int \frac{b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b e \log\left(c\right) \log\left(d\right) + a^{2} e \log\left(d\right) - {\left({\left(2 \, f m - f \log\left(d\right)\right)} a^{2} - 2 \, {\left(2 \, f m n - {\left(2 \, f m - f \log\left(d\right)\right)} \log\left(c\right)\right)} a b + {\left(4 \, f m n^{2} - 4 \, f m n \log\left(c\right) + {\left(2 \, f m - f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{2} - {\left({\left(2 \, f m - f \log\left(d\right)\right)} b^{2} x^{2} - b^{2} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{2} e \log\left(c\right) \log\left(d\right) + a b e \log\left(d\right) - {\left({\left(2 \, f m - f \log\left(d\right)\right)} a b - {\left(2 \, f m n - {\left(2 \, f m - f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{2}\right)} x^{2}\right)} \log\left(x^{n}\right)}{f x^{2} + e}\,{d x}"," ",0,"(b^2*m*x*log(x^n)^2 - 2*((m*n - m*log(c))*b^2 - a*b*m)*x*log(x^n) - (2*(m*n - m*log(c))*a*b - (2*m*n^2 - 2*m*n*log(c) + m*log(c)^2)*b^2 - a^2*m)*x)*log(f*x^2 + e) + integrate((b^2*e*log(c)^2*log(d) + 2*a*b*e*log(c)*log(d) + a^2*e*log(d) - ((2*f*m - f*log(d))*a^2 - 2*(2*f*m*n - (2*f*m - f*log(d))*log(c))*a*b + (4*f*m*n^2 - 4*f*m*n*log(c) + (2*f*m - f*log(d))*log(c)^2)*b^2)*x^2 - ((2*f*m - f*log(d))*b^2*x^2 - b^2*e*log(d))*log(x^n)^2 + 2*(b^2*e*log(c)*log(d) + a*b*e*log(d) - ((2*f*m - f*log(d))*a*b - (2*f*m*n - (2*f*m - f*log(d))*log(c))*b^2)*x^2)*log(x^n))/(f*x^2 + e), x)","F",0
106,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m)/x^2,x, algorithm=""maxima"")","-\frac{{\left(b^{2} m \log\left(x^{n}\right)^{2} + 2 \, {\left(m n + m \log\left(c\right)\right)} a b + {\left(2 \, m n^{2} + 2 \, m n \log\left(c\right) + m \log\left(c\right)^{2}\right)} b^{2} + a^{2} m + 2 \, {\left({\left(m n + m \log\left(c\right)\right)} b^{2} + a b m\right)} \log\left(x^{n}\right)\right)} \log\left(f x^{2} + e\right)}{x} + \int \frac{b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b e \log\left(c\right) \log\left(d\right) + a^{2} e \log\left(d\right) + {\left({\left(2 \, f m + f \log\left(d\right)\right)} a^{2} + 2 \, {\left(2 \, f m n + {\left(2 \, f m + f \log\left(d\right)\right)} \log\left(c\right)\right)} a b + {\left(4 \, f m n^{2} + 4 \, f m n \log\left(c\right) + {\left(2 \, f m + f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{2} + {\left({\left(2 \, f m + f \log\left(d\right)\right)} b^{2} x^{2} + b^{2} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{2} e \log\left(c\right) \log\left(d\right) + a b e \log\left(d\right) + {\left({\left(2 \, f m + f \log\left(d\right)\right)} a b + {\left(2 \, f m n + {\left(2 \, f m + f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{2}\right)} x^{2}\right)} \log\left(x^{n}\right)}{f x^{4} + e x^{2}}\,{d x}"," ",0,"-(b^2*m*log(x^n)^2 + 2*(m*n + m*log(c))*a*b + (2*m*n^2 + 2*m*n*log(c) + m*log(c)^2)*b^2 + a^2*m + 2*((m*n + m*log(c))*b^2 + a*b*m)*log(x^n))*log(f*x^2 + e)/x + integrate((b^2*e*log(c)^2*log(d) + 2*a*b*e*log(c)*log(d) + a^2*e*log(d) + ((2*f*m + f*log(d))*a^2 + 2*(2*f*m*n + (2*f*m + f*log(d))*log(c))*a*b + (4*f*m*n^2 + 4*f*m*n*log(c) + (2*f*m + f*log(d))*log(c)^2)*b^2)*x^2 + ((2*f*m + f*log(d))*b^2*x^2 + b^2*e*log(d))*log(x^n)^2 + 2*(b^2*e*log(c)*log(d) + a*b*e*log(d) + ((2*f*m + f*log(d))*a*b + (2*f*m*n + (2*f*m + f*log(d))*log(c))*b^2)*x^2)*log(x^n))/(f*x^4 + e*x^2), x)","F",0
107,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(f*x^2+e)^m)/x^4,x, algorithm=""maxima"")","-\frac{{\left(9 \, b^{2} m \log\left(x^{n}\right)^{2} + 6 \, {\left(m n + 3 \, m \log\left(c\right)\right)} a b + {\left(2 \, m n^{2} + 6 \, m n \log\left(c\right) + 9 \, m \log\left(c\right)^{2}\right)} b^{2} + 9 \, a^{2} m + 6 \, {\left({\left(m n + 3 \, m \log\left(c\right)\right)} b^{2} + 3 \, a b m\right)} \log\left(x^{n}\right)\right)} \log\left(f x^{2} + e\right)}{27 \, x^{3}} + \int \frac{27 \, b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 54 \, a b e \log\left(c\right) \log\left(d\right) + 27 \, a^{2} e \log\left(d\right) + {\left(9 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} a^{2} + 6 \, {\left(2 \, f m n + 3 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} a b + {\left(4 \, f m n^{2} + 12 \, f m n \log\left(c\right) + 9 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{2}\right)} x^{2} + 9 \, {\left({\left(2 \, f m + 3 \, f \log\left(d\right)\right)} b^{2} x^{2} + 3 \, b^{2} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{2} + 6 \, {\left(9 \, b^{2} e \log\left(c\right) \log\left(d\right) + 9 \, a b e \log\left(d\right) + {\left(3 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} a b + {\left(2 \, f m n + 3 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{2}\right)} x^{2}\right)} \log\left(x^{n}\right)}{27 \, {\left(f x^{6} + e x^{4}\right)}}\,{d x}"," ",0,"-1/27*(9*b^2*m*log(x^n)^2 + 6*(m*n + 3*m*log(c))*a*b + (2*m*n^2 + 6*m*n*log(c) + 9*m*log(c)^2)*b^2 + 9*a^2*m + 6*((m*n + 3*m*log(c))*b^2 + 3*a*b*m)*log(x^n))*log(f*x^2 + e)/x^3 + integrate(1/27*(27*b^2*e*log(c)^2*log(d) + 54*a*b*e*log(c)*log(d) + 27*a^2*e*log(d) + (9*(2*f*m + 3*f*log(d))*a^2 + 6*(2*f*m*n + 3*(2*f*m + 3*f*log(d))*log(c))*a*b + (4*f*m*n^2 + 12*f*m*n*log(c) + 9*(2*f*m + 3*f*log(d))*log(c)^2)*b^2)*x^2 + 9*((2*f*m + 3*f*log(d))*b^2*x^2 + 3*b^2*e*log(d))*log(x^n)^2 + 6*(9*b^2*e*log(c)*log(d) + 9*a*b*e*log(d) + (3*(2*f*m + 3*f*log(d))*a*b + (2*f*m*n + 3*(2*f*m + 3*f*log(d))*log(c))*b^2)*x^2)*log(x^n))/(f*x^6 + e*x^4), x)","F",0
108,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(4 \, b^{3} m x^{2} \log\left(x^{n}\right)^{3} - 6 \, {\left({\left(m n - 2 \, m \log\left(c\right)\right)} b^{3} - 2 \, a b^{2} m\right)} x^{2} \log\left(x^{n}\right)^{2} - 6 \, {\left(2 \, {\left(m n - 2 \, m \log\left(c\right)\right)} a b^{2} - {\left(m n^{2} - 2 \, m n \log\left(c\right) + 2 \, m \log\left(c\right)^{2}\right)} b^{3} - 2 \, a^{2} b m\right)} x^{2} \log\left(x^{n}\right) - {\left(6 \, {\left(m n - 2 \, m \log\left(c\right)\right)} a^{2} b - 6 \, {\left(m n^{2} - 2 \, m n \log\left(c\right) + 2 \, m \log\left(c\right)^{2}\right)} a b^{2} + {\left(3 \, m n^{3} - 6 \, m n^{2} \log\left(c\right) + 6 \, m n \log\left(c\right)^{2} - 4 \, m \log\left(c\right)^{3}\right)} b^{3} - 4 \, a^{3} m\right)} x^{2}\right)} \log\left(f x^{2} + e\right) + \int -\frac{{\left(4 \, {\left(f m - f \log\left(d\right)\right)} a^{3} - 6 \, {\left(f m n - 2 \, {\left(f m - f \log\left(d\right)\right)} \log\left(c\right)\right)} a^{2} b + 6 \, {\left(f m n^{2} - 2 \, f m n \log\left(c\right) + 2 \, {\left(f m - f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} a b^{2} - {\left(3 \, f m n^{3} - 6 \, f m n^{2} \log\left(c\right) + 6 \, f m n \log\left(c\right)^{2} - 4 \, {\left(f m - f \log\left(d\right)\right)} \log\left(c\right)^{3}\right)} b^{3}\right)} x^{3} + 4 \, {\left({\left(f m - f \log\left(d\right)\right)} b^{3} x^{3} - b^{3} e x \log\left(d\right)\right)} \log\left(x^{n}\right)^{3} + 6 \, {\left({\left(2 \, {\left(f m - f \log\left(d\right)\right)} a b^{2} - {\left(f m n - 2 \, {\left(f m - f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{3}\right)} x^{3} - 2 \, {\left(b^{3} e \log\left(c\right) \log\left(d\right) + a b^{2} e \log\left(d\right)\right)} x\right)} \log\left(x^{n}\right)^{2} - 4 \, {\left(b^{3} e \log\left(c\right)^{3} \log\left(d\right) + 3 \, a b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 3 \, a^{2} b e \log\left(c\right) \log\left(d\right) + a^{3} e \log\left(d\right)\right)} x + 6 \, {\left({\left(2 \, {\left(f m - f \log\left(d\right)\right)} a^{2} b - 2 \, {\left(f m n - 2 \, {\left(f m - f \log\left(d\right)\right)} \log\left(c\right)\right)} a b^{2} + {\left(f m n^{2} - 2 \, f m n \log\left(c\right) + 2 \, {\left(f m - f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{3}\right)} x^{3} - 2 \, {\left(b^{3} e \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b^{2} e \log\left(c\right) \log\left(d\right) + a^{2} b e \log\left(d\right)\right)} x\right)} \log\left(x^{n}\right)}{4 \, {\left(f x^{2} + e\right)}}\,{d x}"," ",0,"1/8*(4*b^3*m*x^2*log(x^n)^3 - 6*((m*n - 2*m*log(c))*b^3 - 2*a*b^2*m)*x^2*log(x^n)^2 - 6*(2*(m*n - 2*m*log(c))*a*b^2 - (m*n^2 - 2*m*n*log(c) + 2*m*log(c)^2)*b^3 - 2*a^2*b*m)*x^2*log(x^n) - (6*(m*n - 2*m*log(c))*a^2*b - 6*(m*n^2 - 2*m*n*log(c) + 2*m*log(c)^2)*a*b^2 + (3*m*n^3 - 6*m*n^2*log(c) + 6*m*n*log(c)^2 - 4*m*log(c)^3)*b^3 - 4*a^3*m)*x^2)*log(f*x^2 + e) + integrate(-1/4*((4*(f*m - f*log(d))*a^3 - 6*(f*m*n - 2*(f*m - f*log(d))*log(c))*a^2*b + 6*(f*m*n^2 - 2*f*m*n*log(c) + 2*(f*m - f*log(d))*log(c)^2)*a*b^2 - (3*f*m*n^3 - 6*f*m*n^2*log(c) + 6*f*m*n*log(c)^2 - 4*(f*m - f*log(d))*log(c)^3)*b^3)*x^3 + 4*((f*m - f*log(d))*b^3*x^3 - b^3*e*x*log(d))*log(x^n)^3 + 6*((2*(f*m - f*log(d))*a*b^2 - (f*m*n - 2*(f*m - f*log(d))*log(c))*b^3)*x^3 - 2*(b^3*e*log(c)*log(d) + a*b^2*e*log(d))*x)*log(x^n)^2 - 4*(b^3*e*log(c)^3*log(d) + 3*a*b^2*e*log(c)^2*log(d) + 3*a^2*b*e*log(c)*log(d) + a^3*e*log(d))*x + 6*((2*(f*m - f*log(d))*a^2*b - 2*(f*m*n - 2*(f*m - f*log(d))*log(c))*a*b^2 + (f*m*n^2 - 2*f*m*n*log(c) + 2*(f*m - f*log(d))*log(c)^2)*b^3)*x^3 - 2*(b^3*e*log(c)^2*log(d) + 2*a*b^2*e*log(c)*log(d) + a^2*b*e*log(d))*x)*log(x^n))/(f*x^2 + e), x)","F",0
109,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(b^{3} m n^{3} \log\left(x\right)^{4} - 4 \, b^{3} m \log\left(x\right) \log\left(x^{n}\right)^{3} - 4 \, {\left(b^{3} m n^{2} \log\left(c\right) + a b^{2} m n^{2}\right)} \log\left(x\right)^{3} + 6 \, {\left(b^{3} m n \log\left(c\right)^{2} + 2 \, a b^{2} m n \log\left(c\right) + a^{2} b m n\right)} \log\left(x\right)^{2} + 6 \, {\left(b^{3} m n \log\left(x\right)^{2} - 2 \, {\left(b^{3} m \log\left(c\right) + a b^{2} m\right)} \log\left(x\right)\right)} \log\left(x^{n}\right)^{2} - 4 \, {\left(b^{3} m n^{2} \log\left(x\right)^{3} - 3 \, {\left(b^{3} m n \log\left(c\right) + a b^{2} m n\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} m \log\left(c\right)^{2} + 2 \, a b^{2} m \log\left(c\right) + a^{2} b m\right)} \log\left(x\right)\right)} \log\left(x^{n}\right) - 4 \, {\left(b^{3} m \log\left(c\right)^{3} + 3 \, a b^{2} m \log\left(c\right)^{2} + 3 \, a^{2} b m \log\left(c\right) + a^{3} m\right)} \log\left(x\right)\right)} \log\left(f x^{2} + e\right) - \int -\frac{b^{3} f m n^{3} x^{2} \log\left(x\right)^{4} + 2 \, b^{3} e \log\left(c\right)^{3} \log\left(d\right) + 6 \, a b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 6 \, a^{2} b e \log\left(c\right) \log\left(d\right) - 4 \, {\left(b^{3} f m n^{2} \log\left(c\right) + a b^{2} f m n^{2}\right)} x^{2} \log\left(x\right)^{3} + 2 \, a^{3} e \log\left(d\right) + 6 \, {\left(b^{3} f m n \log\left(c\right)^{2} + 2 \, a b^{2} f m n \log\left(c\right) + a^{2} b f m n\right)} x^{2} \log\left(x\right)^{2} - 4 \, {\left(b^{3} f m \log\left(c\right)^{3} + 3 \, a b^{2} f m \log\left(c\right)^{2} + 3 \, a^{2} b f m \log\left(c\right) + a^{3} f m\right)} x^{2} \log\left(x\right) - 2 \, {\left(2 \, b^{3} f m x^{2} \log\left(x\right) - b^{3} f x^{2} \log\left(d\right) - b^{3} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{3} + 2 \, {\left(b^{3} f \log\left(c\right)^{3} \log\left(d\right) + 3 \, a b^{2} f \log\left(c\right)^{2} \log\left(d\right) + 3 \, a^{2} b f \log\left(c\right) \log\left(d\right) + a^{3} f \log\left(d\right)\right)} x^{2} + 6 \, {\left(b^{3} f m n x^{2} \log\left(x\right)^{2} + b^{3} e \log\left(c\right) \log\left(d\right) + a b^{2} e \log\left(d\right) - 2 \, {\left(b^{3} f m \log\left(c\right) + a b^{2} f m\right)} x^{2} \log\left(x\right) + {\left(b^{3} f \log\left(c\right) \log\left(d\right) + a b^{2} f \log\left(d\right)\right)} x^{2}\right)} \log\left(x^{n}\right)^{2} - 2 \, {\left(2 \, b^{3} f m n^{2} x^{2} \log\left(x\right)^{3} - 3 \, b^{3} e \log\left(c\right)^{2} \log\left(d\right) - 6 \, a b^{2} e \log\left(c\right) \log\left(d\right) - 3 \, a^{2} b e \log\left(d\right) - 6 \, {\left(b^{3} f m n \log\left(c\right) + a b^{2} f m n\right)} x^{2} \log\left(x\right)^{2} + 6 \, {\left(b^{3} f m \log\left(c\right)^{2} + 2 \, a b^{2} f m \log\left(c\right) + a^{2} b f m\right)} x^{2} \log\left(x\right) - 3 \, {\left(b^{3} f \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b^{2} f \log\left(c\right) \log\left(d\right) + a^{2} b f \log\left(d\right)\right)} x^{2}\right)} \log\left(x^{n}\right)}{2 \, {\left(f x^{3} + e x\right)}}\,{d x}"," ",0,"-1/4*(b^3*m*n^3*log(x)^4 - 4*b^3*m*log(x)*log(x^n)^3 - 4*(b^3*m*n^2*log(c) + a*b^2*m*n^2)*log(x)^3 + 6*(b^3*m*n*log(c)^2 + 2*a*b^2*m*n*log(c) + a^2*b*m*n)*log(x)^2 + 6*(b^3*m*n*log(x)^2 - 2*(b^3*m*log(c) + a*b^2*m)*log(x))*log(x^n)^2 - 4*(b^3*m*n^2*log(x)^3 - 3*(b^3*m*n*log(c) + a*b^2*m*n)*log(x)^2 + 3*(b^3*m*log(c)^2 + 2*a*b^2*m*log(c) + a^2*b*m)*log(x))*log(x^n) - 4*(b^3*m*log(c)^3 + 3*a*b^2*m*log(c)^2 + 3*a^2*b*m*log(c) + a^3*m)*log(x))*log(f*x^2 + e) - integrate(-1/2*(b^3*f*m*n^3*x^2*log(x)^4 + 2*b^3*e*log(c)^3*log(d) + 6*a*b^2*e*log(c)^2*log(d) + 6*a^2*b*e*log(c)*log(d) - 4*(b^3*f*m*n^2*log(c) + a*b^2*f*m*n^2)*x^2*log(x)^3 + 2*a^3*e*log(d) + 6*(b^3*f*m*n*log(c)^2 + 2*a*b^2*f*m*n*log(c) + a^2*b*f*m*n)*x^2*log(x)^2 - 4*(b^3*f*m*log(c)^3 + 3*a*b^2*f*m*log(c)^2 + 3*a^2*b*f*m*log(c) + a^3*f*m)*x^2*log(x) - 2*(2*b^3*f*m*x^2*log(x) - b^3*f*x^2*log(d) - b^3*e*log(d))*log(x^n)^3 + 2*(b^3*f*log(c)^3*log(d) + 3*a*b^2*f*log(c)^2*log(d) + 3*a^2*b*f*log(c)*log(d) + a^3*f*log(d))*x^2 + 6*(b^3*f*m*n*x^2*log(x)^2 + b^3*e*log(c)*log(d) + a*b^2*e*log(d) - 2*(b^3*f*m*log(c) + a*b^2*f*m)*x^2*log(x) + (b^3*f*log(c)*log(d) + a*b^2*f*log(d))*x^2)*log(x^n)^2 - 2*(2*b^3*f*m*n^2*x^2*log(x)^3 - 3*b^3*e*log(c)^2*log(d) - 6*a*b^2*e*log(c)*log(d) - 3*a^2*b*e*log(d) - 6*(b^3*f*m*n*log(c) + a*b^2*f*m*n)*x^2*log(x)^2 + 6*(b^3*f*m*log(c)^2 + 2*a*b^2*f*m*log(c) + a^2*b*f*m)*x^2*log(x) - 3*(b^3*f*log(c)^2*log(d) + 2*a*b^2*f*log(c)*log(d) + a^2*b*f*log(d))*x^2)*log(x^n))/(f*x^3 + e*x), x)","F",0
110,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m)/x^3,x, algorithm=""maxima"")","-\frac{{\left(4 \, b^{3} m \log\left(x^{n}\right)^{3} + 6 \, {\left(m n + 2 \, m \log\left(c\right)\right)} a^{2} b + 6 \, {\left(m n^{2} + 2 \, m n \log\left(c\right) + 2 \, m \log\left(c\right)^{2}\right)} a b^{2} + {\left(3 \, m n^{3} + 6 \, m n^{2} \log\left(c\right) + 6 \, m n \log\left(c\right)^{2} + 4 \, m \log\left(c\right)^{3}\right)} b^{3} + 4 \, a^{3} m + 6 \, {\left({\left(m n + 2 \, m \log\left(c\right)\right)} b^{3} + 2 \, a b^{2} m\right)} \log\left(x^{n}\right)^{2} + 6 \, {\left(2 \, {\left(m n + 2 \, m \log\left(c\right)\right)} a b^{2} + {\left(m n^{2} + 2 \, m n \log\left(c\right) + 2 \, m \log\left(c\right)^{2}\right)} b^{3} + 2 \, a^{2} b m\right)} \log\left(x^{n}\right)\right)} \log\left(f x^{2} + e\right)}{8 \, x^{2}} + \int \frac{4 \, b^{3} e \log\left(c\right)^{3} \log\left(d\right) + 12 \, a b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 12 \, a^{2} b e \log\left(c\right) \log\left(d\right) + 4 \, a^{3} e \log\left(d\right) + 4 \, {\left({\left(f m + f \log\left(d\right)\right)} b^{3} x^{2} + b^{3} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{3} + {\left(4 \, {\left(f m + f \log\left(d\right)\right)} a^{3} + 6 \, {\left(f m n + 2 \, {\left(f m + f \log\left(d\right)\right)} \log\left(c\right)\right)} a^{2} b + 6 \, {\left(f m n^{2} + 2 \, f m n \log\left(c\right) + 2 \, {\left(f m + f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} a b^{2} + {\left(3 \, f m n^{3} + 6 \, f m n^{2} \log\left(c\right) + 6 \, f m n \log\left(c\right)^{2} + 4 \, {\left(f m + f \log\left(d\right)\right)} \log\left(c\right)^{3}\right)} b^{3}\right)} x^{2} + 6 \, {\left(2 \, b^{3} e \log\left(c\right) \log\left(d\right) + 2 \, a b^{2} e \log\left(d\right) + {\left(2 \, {\left(f m + f \log\left(d\right)\right)} a b^{2} + {\left(f m n + 2 \, {\left(f m + f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{3}\right)} x^{2}\right)} \log\left(x^{n}\right)^{2} + 6 \, {\left(2 \, b^{3} e \log\left(c\right)^{2} \log\left(d\right) + 4 \, a b^{2} e \log\left(c\right) \log\left(d\right) + 2 \, a^{2} b e \log\left(d\right) + {\left(2 \, {\left(f m + f \log\left(d\right)\right)} a^{2} b + 2 \, {\left(f m n + 2 \, {\left(f m + f \log\left(d\right)\right)} \log\left(c\right)\right)} a b^{2} + {\left(f m n^{2} + 2 \, f m n \log\left(c\right) + 2 \, {\left(f m + f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{3}\right)} x^{2}\right)} \log\left(x^{n}\right)}{4 \, {\left(f x^{5} + e x^{3}\right)}}\,{d x}"," ",0,"-1/8*(4*b^3*m*log(x^n)^3 + 6*(m*n + 2*m*log(c))*a^2*b + 6*(m*n^2 + 2*m*n*log(c) + 2*m*log(c)^2)*a*b^2 + (3*m*n^3 + 6*m*n^2*log(c) + 6*m*n*log(c)^2 + 4*m*log(c)^3)*b^3 + 4*a^3*m + 6*((m*n + 2*m*log(c))*b^3 + 2*a*b^2*m)*log(x^n)^2 + 6*(2*(m*n + 2*m*log(c))*a*b^2 + (m*n^2 + 2*m*n*log(c) + 2*m*log(c)^2)*b^3 + 2*a^2*b*m)*log(x^n))*log(f*x^2 + e)/x^2 + integrate(1/4*(4*b^3*e*log(c)^3*log(d) + 12*a*b^2*e*log(c)^2*log(d) + 12*a^2*b*e*log(c)*log(d) + 4*a^3*e*log(d) + 4*((f*m + f*log(d))*b^3*x^2 + b^3*e*log(d))*log(x^n)^3 + (4*(f*m + f*log(d))*a^3 + 6*(f*m*n + 2*(f*m + f*log(d))*log(c))*a^2*b + 6*(f*m*n^2 + 2*f*m*n*log(c) + 2*(f*m + f*log(d))*log(c)^2)*a*b^2 + (3*f*m*n^3 + 6*f*m*n^2*log(c) + 6*f*m*n*log(c)^2 + 4*(f*m + f*log(d))*log(c)^3)*b^3)*x^2 + 6*(2*b^3*e*log(c)*log(d) + 2*a*b^2*e*log(d) + (2*(f*m + f*log(d))*a*b^2 + (f*m*n + 2*(f*m + f*log(d))*log(c))*b^3)*x^2)*log(x^n)^2 + 6*(2*b^3*e*log(c)^2*log(d) + 4*a*b^2*e*log(c)*log(d) + 2*a^2*b*e*log(d) + (2*(f*m + f*log(d))*a^2*b + 2*(f*m*n + 2*(f*m + f*log(d))*log(c))*a*b^2 + (f*m*n^2 + 2*f*m*n*log(c) + 2*(f*m + f*log(d))*log(c)^2)*b^3)*x^2)*log(x^n))/(f*x^5 + e*x^3), x)","F",0
111,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m),x, algorithm=""maxima"")","\frac{1}{27} \, {\left(9 \, b^{3} m x^{3} \log\left(x^{n}\right)^{3} - 9 \, {\left({\left(m n - 3 \, m \log\left(c\right)\right)} b^{3} - 3 \, a b^{2} m\right)} x^{3} \log\left(x^{n}\right)^{2} - 3 \, {\left(6 \, {\left(m n - 3 \, m \log\left(c\right)\right)} a b^{2} - {\left(2 \, m n^{2} - 6 \, m n \log\left(c\right) + 9 \, m \log\left(c\right)^{2}\right)} b^{3} - 9 \, a^{2} b m\right)} x^{3} \log\left(x^{n}\right) - {\left(9 \, {\left(m n - 3 \, m \log\left(c\right)\right)} a^{2} b - 3 \, {\left(2 \, m n^{2} - 6 \, m n \log\left(c\right) + 9 \, m \log\left(c\right)^{2}\right)} a b^{2} + {\left(2 \, m n^{3} - 6 \, m n^{2} \log\left(c\right) + 9 \, m n \log\left(c\right)^{2} - 9 \, m \log\left(c\right)^{3}\right)} b^{3} - 9 \, a^{3} m\right)} x^{3}\right)} \log\left(f x^{2} + e\right) + \int -\frac{{\left(9 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} a^{3} - 9 \, {\left(2 \, f m n - 3 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} a^{2} b + 3 \, {\left(4 \, f m n^{2} - 12 \, f m n \log\left(c\right) + 9 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} a b^{2} - {\left(4 \, f m n^{3} - 12 \, f m n^{2} \log\left(c\right) + 18 \, f m n \log\left(c\right)^{2} - 9 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} \log\left(c\right)^{3}\right)} b^{3}\right)} x^{4} + 9 \, {\left({\left(2 \, f m - 3 \, f \log\left(d\right)\right)} b^{3} x^{4} - 3 \, b^{3} e x^{2} \log\left(d\right)\right)} \log\left(x^{n}\right)^{3} - 27 \, {\left(b^{3} e \log\left(c\right)^{3} \log\left(d\right) + 3 \, a b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 3 \, a^{2} b e \log\left(c\right) \log\left(d\right) + a^{3} e \log\left(d\right)\right)} x^{2} + 9 \, {\left({\left(3 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} a b^{2} - {\left(2 \, f m n - 3 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{3}\right)} x^{4} - 9 \, {\left(b^{3} e \log\left(c\right) \log\left(d\right) + a b^{2} e \log\left(d\right)\right)} x^{2}\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left({\left(9 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} a^{2} b - 6 \, {\left(2 \, f m n - 3 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} a b^{2} + {\left(4 \, f m n^{2} - 12 \, f m n \log\left(c\right) + 9 \, {\left(2 \, f m - 3 \, f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{3}\right)} x^{4} - 27 \, {\left(b^{3} e \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b^{2} e \log\left(c\right) \log\left(d\right) + a^{2} b e \log\left(d\right)\right)} x^{2}\right)} \log\left(x^{n}\right)}{27 \, {\left(f x^{2} + e\right)}}\,{d x}"," ",0,"1/27*(9*b^3*m*x^3*log(x^n)^3 - 9*((m*n - 3*m*log(c))*b^3 - 3*a*b^2*m)*x^3*log(x^n)^2 - 3*(6*(m*n - 3*m*log(c))*a*b^2 - (2*m*n^2 - 6*m*n*log(c) + 9*m*log(c)^2)*b^3 - 9*a^2*b*m)*x^3*log(x^n) - (9*(m*n - 3*m*log(c))*a^2*b - 3*(2*m*n^2 - 6*m*n*log(c) + 9*m*log(c)^2)*a*b^2 + (2*m*n^3 - 6*m*n^2*log(c) + 9*m*n*log(c)^2 - 9*m*log(c)^3)*b^3 - 9*a^3*m)*x^3)*log(f*x^2 + e) + integrate(-1/27*((9*(2*f*m - 3*f*log(d))*a^3 - 9*(2*f*m*n - 3*(2*f*m - 3*f*log(d))*log(c))*a^2*b + 3*(4*f*m*n^2 - 12*f*m*n*log(c) + 9*(2*f*m - 3*f*log(d))*log(c)^2)*a*b^2 - (4*f*m*n^3 - 12*f*m*n^2*log(c) + 18*f*m*n*log(c)^2 - 9*(2*f*m - 3*f*log(d))*log(c)^3)*b^3)*x^4 + 9*((2*f*m - 3*f*log(d))*b^3*x^4 - 3*b^3*e*x^2*log(d))*log(x^n)^3 - 27*(b^3*e*log(c)^3*log(d) + 3*a*b^2*e*log(c)^2*log(d) + 3*a^2*b*e*log(c)*log(d) + a^3*e*log(d))*x^2 + 9*((3*(2*f*m - 3*f*log(d))*a*b^2 - (2*f*m*n - 3*(2*f*m - 3*f*log(d))*log(c))*b^3)*x^4 - 9*(b^3*e*log(c)*log(d) + a*b^2*e*log(d))*x^2)*log(x^n)^2 + 3*((9*(2*f*m - 3*f*log(d))*a^2*b - 6*(2*f*m*n - 3*(2*f*m - 3*f*log(d))*log(c))*a*b^2 + (4*f*m*n^2 - 12*f*m*n*log(c) + 9*(2*f*m - 3*f*log(d))*log(c)^2)*b^3)*x^4 - 27*(b^3*e*log(c)^2*log(d) + 2*a*b^2*e*log(c)*log(d) + a^2*b*e*log(d))*x^2)*log(x^n))/(f*x^2 + e), x)","F",0
112,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m),x, algorithm=""maxima"")","{\left(b^{3} m x \log\left(x^{n}\right)^{3} - 3 \, {\left({\left(m n - m \log\left(c\right)\right)} b^{3} - a b^{2} m\right)} x \log\left(x^{n}\right)^{2} - 3 \, {\left(2 \, {\left(m n - m \log\left(c\right)\right)} a b^{2} - {\left(2 \, m n^{2} - 2 \, m n \log\left(c\right) + m \log\left(c\right)^{2}\right)} b^{3} - a^{2} b m\right)} x \log\left(x^{n}\right) - {\left(3 \, {\left(m n - m \log\left(c\right)\right)} a^{2} b - 3 \, {\left(2 \, m n^{2} - 2 \, m n \log\left(c\right) + m \log\left(c\right)^{2}\right)} a b^{2} + {\left(6 \, m n^{3} - 6 \, m n^{2} \log\left(c\right) + 3 \, m n \log\left(c\right)^{2} - m \log\left(c\right)^{3}\right)} b^{3} - a^{3} m\right)} x\right)} \log\left(f x^{2} + e\right) + \int \frac{b^{3} e \log\left(c\right)^{3} \log\left(d\right) + 3 \, a b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 3 \, a^{2} b e \log\left(c\right) \log\left(d\right) + a^{3} e \log\left(d\right) - {\left({\left(2 \, f m - f \log\left(d\right)\right)} b^{3} x^{2} - b^{3} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{3} - {\left({\left(2 \, f m - f \log\left(d\right)\right)} a^{3} - 3 \, {\left(2 \, f m n - {\left(2 \, f m - f \log\left(d\right)\right)} \log\left(c\right)\right)} a^{2} b + 3 \, {\left(4 \, f m n^{2} - 4 \, f m n \log\left(c\right) + {\left(2 \, f m - f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} a b^{2} - {\left(12 \, f m n^{3} - 12 \, f m n^{2} \log\left(c\right) + 6 \, f m n \log\left(c\right)^{2} - {\left(2 \, f m - f \log\left(d\right)\right)} \log\left(c\right)^{3}\right)} b^{3}\right)} x^{2} + 3 \, {\left(b^{3} e \log\left(c\right) \log\left(d\right) + a b^{2} e \log\left(d\right) - {\left({\left(2 \, f m - f \log\left(d\right)\right)} a b^{2} - {\left(2 \, f m n - {\left(2 \, f m - f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{3}\right)} x^{2}\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left(b^{3} e \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b^{2} e \log\left(c\right) \log\left(d\right) + a^{2} b e \log\left(d\right) - {\left({\left(2 \, f m - f \log\left(d\right)\right)} a^{2} b - 2 \, {\left(2 \, f m n - {\left(2 \, f m - f \log\left(d\right)\right)} \log\left(c\right)\right)} a b^{2} + {\left(4 \, f m n^{2} - 4 \, f m n \log\left(c\right) + {\left(2 \, f m - f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{3}\right)} x^{2}\right)} \log\left(x^{n}\right)}{f x^{2} + e}\,{d x}"," ",0,"(b^3*m*x*log(x^n)^3 - 3*((m*n - m*log(c))*b^3 - a*b^2*m)*x*log(x^n)^2 - 3*(2*(m*n - m*log(c))*a*b^2 - (2*m*n^2 - 2*m*n*log(c) + m*log(c)^2)*b^3 - a^2*b*m)*x*log(x^n) - (3*(m*n - m*log(c))*a^2*b - 3*(2*m*n^2 - 2*m*n*log(c) + m*log(c)^2)*a*b^2 + (6*m*n^3 - 6*m*n^2*log(c) + 3*m*n*log(c)^2 - m*log(c)^3)*b^3 - a^3*m)*x)*log(f*x^2 + e) + integrate((b^3*e*log(c)^3*log(d) + 3*a*b^2*e*log(c)^2*log(d) + 3*a^2*b*e*log(c)*log(d) + a^3*e*log(d) - ((2*f*m - f*log(d))*b^3*x^2 - b^3*e*log(d))*log(x^n)^3 - ((2*f*m - f*log(d))*a^3 - 3*(2*f*m*n - (2*f*m - f*log(d))*log(c))*a^2*b + 3*(4*f*m*n^2 - 4*f*m*n*log(c) + (2*f*m - f*log(d))*log(c)^2)*a*b^2 - (12*f*m*n^3 - 12*f*m*n^2*log(c) + 6*f*m*n*log(c)^2 - (2*f*m - f*log(d))*log(c)^3)*b^3)*x^2 + 3*(b^3*e*log(c)*log(d) + a*b^2*e*log(d) - ((2*f*m - f*log(d))*a*b^2 - (2*f*m*n - (2*f*m - f*log(d))*log(c))*b^3)*x^2)*log(x^n)^2 + 3*(b^3*e*log(c)^2*log(d) + 2*a*b^2*e*log(c)*log(d) + a^2*b*e*log(d) - ((2*f*m - f*log(d))*a^2*b - 2*(2*f*m*n - (2*f*m - f*log(d))*log(c))*a*b^2 + (4*f*m*n^2 - 4*f*m*n*log(c) + (2*f*m - f*log(d))*log(c)^2)*b^3)*x^2)*log(x^n))/(f*x^2 + e), x)","F",0
113,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m)/x^2,x, algorithm=""maxima"")","-\frac{{\left(b^{3} m \log\left(x^{n}\right)^{3} + 3 \, {\left(m n + m \log\left(c\right)\right)} a^{2} b + 3 \, {\left(2 \, m n^{2} + 2 \, m n \log\left(c\right) + m \log\left(c\right)^{2}\right)} a b^{2} + {\left(6 \, m n^{3} + 6 \, m n^{2} \log\left(c\right) + 3 \, m n \log\left(c\right)^{2} + m \log\left(c\right)^{3}\right)} b^{3} + a^{3} m + 3 \, {\left({\left(m n + m \log\left(c\right)\right)} b^{3} + a b^{2} m\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left(2 \, {\left(m n + m \log\left(c\right)\right)} a b^{2} + {\left(2 \, m n^{2} + 2 \, m n \log\left(c\right) + m \log\left(c\right)^{2}\right)} b^{3} + a^{2} b m\right)} \log\left(x^{n}\right)\right)} \log\left(f x^{2} + e\right)}{x} + \int \frac{b^{3} e \log\left(c\right)^{3} \log\left(d\right) + 3 \, a b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 3 \, a^{2} b e \log\left(c\right) \log\left(d\right) + a^{3} e \log\left(d\right) + {\left({\left(2 \, f m + f \log\left(d\right)\right)} b^{3} x^{2} + b^{3} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{3} + {\left({\left(2 \, f m + f \log\left(d\right)\right)} a^{3} + 3 \, {\left(2 \, f m n + {\left(2 \, f m + f \log\left(d\right)\right)} \log\left(c\right)\right)} a^{2} b + 3 \, {\left(4 \, f m n^{2} + 4 \, f m n \log\left(c\right) + {\left(2 \, f m + f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} a b^{2} + {\left(12 \, f m n^{3} + 12 \, f m n^{2} \log\left(c\right) + 6 \, f m n \log\left(c\right)^{2} + {\left(2 \, f m + f \log\left(d\right)\right)} \log\left(c\right)^{3}\right)} b^{3}\right)} x^{2} + 3 \, {\left(b^{3} e \log\left(c\right) \log\left(d\right) + a b^{2} e \log\left(d\right) + {\left({\left(2 \, f m + f \log\left(d\right)\right)} a b^{2} + {\left(2 \, f m n + {\left(2 \, f m + f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{3}\right)} x^{2}\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left(b^{3} e \log\left(c\right)^{2} \log\left(d\right) + 2 \, a b^{2} e \log\left(c\right) \log\left(d\right) + a^{2} b e \log\left(d\right) + {\left({\left(2 \, f m + f \log\left(d\right)\right)} a^{2} b + 2 \, {\left(2 \, f m n + {\left(2 \, f m + f \log\left(d\right)\right)} \log\left(c\right)\right)} a b^{2} + {\left(4 \, f m n^{2} + 4 \, f m n \log\left(c\right) + {\left(2 \, f m + f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{3}\right)} x^{2}\right)} \log\left(x^{n}\right)}{f x^{4} + e x^{2}}\,{d x}"," ",0,"-(b^3*m*log(x^n)^3 + 3*(m*n + m*log(c))*a^2*b + 3*(2*m*n^2 + 2*m*n*log(c) + m*log(c)^2)*a*b^2 + (6*m*n^3 + 6*m*n^2*log(c) + 3*m*n*log(c)^2 + m*log(c)^3)*b^3 + a^3*m + 3*((m*n + m*log(c))*b^3 + a*b^2*m)*log(x^n)^2 + 3*(2*(m*n + m*log(c))*a*b^2 + (2*m*n^2 + 2*m*n*log(c) + m*log(c)^2)*b^3 + a^2*b*m)*log(x^n))*log(f*x^2 + e)/x + integrate((b^3*e*log(c)^3*log(d) + 3*a*b^2*e*log(c)^2*log(d) + 3*a^2*b*e*log(c)*log(d) + a^3*e*log(d) + ((2*f*m + f*log(d))*b^3*x^2 + b^3*e*log(d))*log(x^n)^3 + ((2*f*m + f*log(d))*a^3 + 3*(2*f*m*n + (2*f*m + f*log(d))*log(c))*a^2*b + 3*(4*f*m*n^2 + 4*f*m*n*log(c) + (2*f*m + f*log(d))*log(c)^2)*a*b^2 + (12*f*m*n^3 + 12*f*m*n^2*log(c) + 6*f*m*n*log(c)^2 + (2*f*m + f*log(d))*log(c)^3)*b^3)*x^2 + 3*(b^3*e*log(c)*log(d) + a*b^2*e*log(d) + ((2*f*m + f*log(d))*a*b^2 + (2*f*m*n + (2*f*m + f*log(d))*log(c))*b^3)*x^2)*log(x^n)^2 + 3*(b^3*e*log(c)^2*log(d) + 2*a*b^2*e*log(c)*log(d) + a^2*b*e*log(d) + ((2*f*m + f*log(d))*a^2*b + 2*(2*f*m*n + (2*f*m + f*log(d))*log(c))*a*b^2 + (4*f*m*n^2 + 4*f*m*n*log(c) + (2*f*m + f*log(d))*log(c)^2)*b^3)*x^2)*log(x^n))/(f*x^4 + e*x^2), x)","F",0
114,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(f*x^2+e)^m)/x^4,x, algorithm=""maxima"")","-\frac{{\left(9 \, b^{3} m \log\left(x^{n}\right)^{3} + 9 \, {\left(m n + 3 \, m \log\left(c\right)\right)} a^{2} b + 3 \, {\left(2 \, m n^{2} + 6 \, m n \log\left(c\right) + 9 \, m \log\left(c\right)^{2}\right)} a b^{2} + {\left(2 \, m n^{3} + 6 \, m n^{2} \log\left(c\right) + 9 \, m n \log\left(c\right)^{2} + 9 \, m \log\left(c\right)^{3}\right)} b^{3} + 9 \, a^{3} m + 9 \, {\left({\left(m n + 3 \, m \log\left(c\right)\right)} b^{3} + 3 \, a b^{2} m\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left(6 \, {\left(m n + 3 \, m \log\left(c\right)\right)} a b^{2} + {\left(2 \, m n^{2} + 6 \, m n \log\left(c\right) + 9 \, m \log\left(c\right)^{2}\right)} b^{3} + 9 \, a^{2} b m\right)} \log\left(x^{n}\right)\right)} \log\left(f x^{2} + e\right)}{27 \, x^{3}} + \int \frac{27 \, b^{3} e \log\left(c\right)^{3} \log\left(d\right) + 81 \, a b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 81 \, a^{2} b e \log\left(c\right) \log\left(d\right) + 27 \, a^{3} e \log\left(d\right) + 9 \, {\left({\left(2 \, f m + 3 \, f \log\left(d\right)\right)} b^{3} x^{2} + 3 \, b^{3} e \log\left(d\right)\right)} \log\left(x^{n}\right)^{3} + {\left(9 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} a^{3} + 9 \, {\left(2 \, f m n + 3 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} a^{2} b + 3 \, {\left(4 \, f m n^{2} + 12 \, f m n \log\left(c\right) + 9 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} a b^{2} + {\left(4 \, f m n^{3} + 12 \, f m n^{2} \log\left(c\right) + 18 \, f m n \log\left(c\right)^{2} + 9 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} \log\left(c\right)^{3}\right)} b^{3}\right)} x^{2} + 9 \, {\left(9 \, b^{3} e \log\left(c\right) \log\left(d\right) + 9 \, a b^{2} e \log\left(d\right) + {\left(3 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} a b^{2} + {\left(2 \, f m n + 3 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} b^{3}\right)} x^{2}\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left(27 \, b^{3} e \log\left(c\right)^{2} \log\left(d\right) + 54 \, a b^{2} e \log\left(c\right) \log\left(d\right) + 27 \, a^{2} b e \log\left(d\right) + {\left(9 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} a^{2} b + 6 \, {\left(2 \, f m n + 3 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} a b^{2} + {\left(4 \, f m n^{2} + 12 \, f m n \log\left(c\right) + 9 \, {\left(2 \, f m + 3 \, f \log\left(d\right)\right)} \log\left(c\right)^{2}\right)} b^{3}\right)} x^{2}\right)} \log\left(x^{n}\right)}{27 \, {\left(f x^{6} + e x^{4}\right)}}\,{d x}"," ",0,"-1/27*(9*b^3*m*log(x^n)^3 + 9*(m*n + 3*m*log(c))*a^2*b + 3*(2*m*n^2 + 6*m*n*log(c) + 9*m*log(c)^2)*a*b^2 + (2*m*n^3 + 6*m*n^2*log(c) + 9*m*n*log(c)^2 + 9*m*log(c)^3)*b^3 + 9*a^3*m + 9*((m*n + 3*m*log(c))*b^3 + 3*a*b^2*m)*log(x^n)^2 + 3*(6*(m*n + 3*m*log(c))*a*b^2 + (2*m*n^2 + 6*m*n*log(c) + 9*m*log(c)^2)*b^3 + 9*a^2*b*m)*log(x^n))*log(f*x^2 + e)/x^3 + integrate(1/27*(27*b^3*e*log(c)^3*log(d) + 81*a*b^2*e*log(c)^2*log(d) + 81*a^2*b*e*log(c)*log(d) + 27*a^3*e*log(d) + 9*((2*f*m + 3*f*log(d))*b^3*x^2 + 3*b^3*e*log(d))*log(x^n)^3 + (9*(2*f*m + 3*f*log(d))*a^3 + 9*(2*f*m*n + 3*(2*f*m + 3*f*log(d))*log(c))*a^2*b + 3*(4*f*m*n^2 + 12*f*m*n*log(c) + 9*(2*f*m + 3*f*log(d))*log(c)^2)*a*b^2 + (4*f*m*n^3 + 12*f*m*n^2*log(c) + 18*f*m*n*log(c)^2 + 9*(2*f*m + 3*f*log(d))*log(c)^3)*b^3)*x^2 + 9*(9*b^3*e*log(c)*log(d) + 9*a*b^2*e*log(d) + (3*(2*f*m + 3*f*log(d))*a*b^2 + (2*f*m*n + 3*(2*f*m + 3*f*log(d))*log(c))*b^3)*x^2)*log(x^n)^2 + 3*(27*b^3*e*log(c)^2*log(d) + 54*a*b^2*e*log(c)*log(d) + 27*a^2*b*e*log(d) + (9*(2*f*m + 3*f*log(d))*a^2*b + 6*(2*f*m*n + 3*(2*f*m + 3*f*log(d))*log(c))*a*b^2 + (4*f*m*n^2 + 12*f*m*n*log(c) + 9*(2*f*m + 3*f*log(d))*log(c)^2)*b^3)*x^2)*log(x^n))/(f*x^6 + e*x^4), x)","F",0
115,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k),x, algorithm=""maxima"")","\frac{147 \, b e x^{3} \log\left(d\right) \log\left(x^{n}\right) + 49 \, {\left(3 \, a e \log\left(d\right) - {\left(e n \log\left(d\right) - 3 \, e \log\left(c\right) \log\left(d\right)\right)} b\right)} x^{3} + 49 \, {\left(3 \, b e x^{3} \log\left(x^{n}\right) - {\left({\left(e n - 3 \, e \log\left(c\right)\right)} b - 3 \, a e\right)} x^{3}\right)} k \log\left(f \sqrt{x} + e\right) - \frac{21 \, b f k x^{4} \log\left(x^{n}\right) + {\left(21 \, a f k - {\left(13 \, f k n - 21 \, f k \log\left(c\right)\right)} b\right)} x^{4}}{\sqrt{x}}}{441 \, e} + \int \frac{3 \, b f^{2} k x^{3} \log\left(x^{n}\right) + {\left(3 \, a f^{2} k - {\left(f^{2} k n - 3 \, f^{2} k \log\left(c\right)\right)} b\right)} x^{3}}{18 \, {\left(e f \sqrt{x} + e^{2}\right)}}\,{d x}"," ",0,"1/441*(147*b*e*x^3*log(d)*log(x^n) + 49*(3*a*e*log(d) - (e*n*log(d) - 3*e*log(c)*log(d))*b)*x^3 + 49*(3*b*e*x^3*log(x^n) - ((e*n - 3*e*log(c))*b - 3*a*e)*x^3)*k*log(f*sqrt(x) + e) - (21*b*f*k*x^4*log(x^n) + (21*a*f*k - (13*f*k*n - 21*f*k*log(c))*b)*x^4)/sqrt(x))/e + integrate(1/18*(3*b*f^2*k*x^3*log(x^n) + (3*a*f^2*k - (f^2*k*n - 3*f^2*k*log(c))*b)*x^3)/(e*f*sqrt(x) + e^2), x)","F",0
116,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k),x, algorithm=""maxima"")","\frac{50 \, b e x^{2} \log\left(d\right) \log\left(x^{n}\right) + 25 \, {\left(2 \, a e \log\left(d\right) - {\left(e n \log\left(d\right) - 2 \, e \log\left(c\right) \log\left(d\right)\right)} b\right)} x^{2} + 25 \, {\left(2 \, b e x^{2} \log\left(x^{n}\right) - {\left({\left(e n - 2 \, e \log\left(c\right)\right)} b - 2 \, a e\right)} x^{2}\right)} k \log\left(f \sqrt{x} + e\right) - \frac{10 \, b f k x^{3} \log\left(x^{n}\right) + {\left(10 \, a f k - {\left(9 \, f k n - 10 \, f k \log\left(c\right)\right)} b\right)} x^{3}}{\sqrt{x}}}{100 \, e} + \int \frac{2 \, b f^{2} k x^{2} \log\left(x^{n}\right) + {\left(2 \, a f^{2} k - {\left(f^{2} k n - 2 \, f^{2} k \log\left(c\right)\right)} b\right)} x^{2}}{8 \, {\left(e f \sqrt{x} + e^{2}\right)}}\,{d x}"," ",0,"1/100*(50*b*e*x^2*log(d)*log(x^n) + 25*(2*a*e*log(d) - (e*n*log(d) - 2*e*log(c)*log(d))*b)*x^2 + 25*(2*b*e*x^2*log(x^n) - ((e*n - 2*e*log(c))*b - 2*a*e)*x^2)*k*log(f*sqrt(x) + e) - (10*b*f*k*x^3*log(x^n) + (10*a*f*k - (9*f*k*n - 10*f*k*log(c))*b)*x^3)/sqrt(x))/e + integrate(1/8*(2*b*f^2*k*x^2*log(x^n) + (2*a*f^2*k - (f^2*k*n - 2*f^2*k*log(c))*b)*x^2)/(e*f*sqrt(x) + e^2), x)","F",0
117,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k),x, algorithm=""maxima"")","\frac{9 \, b e x \log\left(d\right) \log\left(x^{n}\right) + 9 \, {\left(b e x \log\left(x^{n}\right) - {\left({\left(e n - e \log\left(c\right)\right)} b - a e\right)} x\right)} k \log\left(f \sqrt{x} + e\right) + 9 \, {\left(a e \log\left(d\right) - {\left(e n \log\left(d\right) - e \log\left(c\right) \log\left(d\right)\right)} b\right)} x - \frac{3 \, b f k x^{2} \log\left(x^{n}\right) + {\left(3 \, a f k - {\left(5 \, f k n - 3 \, f k \log\left(c\right)\right)} b\right)} x^{2}}{\sqrt{x}}}{9 \, e} + \int \frac{b f^{2} k x \log\left(x^{n}\right) + {\left(a f^{2} k - {\left(f^{2} k n - f^{2} k \log\left(c\right)\right)} b\right)} x}{2 \, {\left(e f \sqrt{x} + e^{2}\right)}}\,{d x}"," ",0,"1/9*(9*b*e*x*log(d)*log(x^n) + 9*(b*e*x*log(x^n) - ((e*n - e*log(c))*b - a*e)*x)*k*log(f*sqrt(x) + e) + 9*(a*e*log(d) - (e*n*log(d) - e*log(c)*log(d))*b)*x - (3*b*f*k*x^2*log(x^n) + (3*a*f*k - (5*f*k*n - 3*f*k*log(c))*b)*x^2)/sqrt(x))/e + integrate(1/2*(b*f^2*k*x*log(x^n) + (a*f^2*k - (f^2*k*n - f^2*k*log(c))*b)*x)/(e*f*sqrt(x) + e^2), x)","F",0
118,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x,x, algorithm=""maxima"")","-\frac{b e n \log\left(d\right) \log\left(x\right)^{2} - 2 \, b e \log\left(d\right) \log\left(x\right) \log\left(x^{n}\right) + {\left(b e n \log\left(x\right)^{2} - 2 \, b e \log\left(x\right) \log\left(x^{n}\right) - 2 \, {\left(b e \log\left(c\right) + a e\right)} \log\left(x\right)\right)} k \log\left(f \sqrt{x} + e\right) - 2 \, {\left(b e \log\left(c\right) \log\left(d\right) + a e \log\left(d\right)\right)} \log\left(x\right) - \frac{b f k n x \log\left(x\right)^{2} - 2 \, {\left(b f k \log\left(c\right) + a f k\right)} x \log\left(x\right) + 4 \, {\left(a f k - {\left(2 \, f k n - f k \log\left(c\right)\right)} b\right)} x - 2 \, {\left(b f k x \log\left(x\right) - 2 \, b f k x\right)} \log\left(x^{n}\right)}{\sqrt{x}}}{2 \, e} + \int -\frac{b f^{2} k n \log\left(x\right)^{2} - 2 \, b f^{2} k \log\left(x\right) \log\left(x^{n}\right) - 2 \, {\left(b f^{2} k \log\left(c\right) + a f^{2} k\right)} \log\left(x\right)}{4 \, {\left(e f \sqrt{x} + e^{2}\right)}}\,{d x}"," ",0,"-1/2*(b*e*n*log(d)*log(x)^2 - 2*b*e*log(d)*log(x)*log(x^n) + (b*e*n*log(x)^2 - 2*b*e*log(x)*log(x^n) - 2*(b*e*log(c) + a*e)*log(x))*k*log(f*sqrt(x) + e) - 2*(b*e*log(c)*log(d) + a*e*log(d))*log(x) - (b*f*k*n*x*log(x)^2 - 2*(b*f*k*log(c) + a*f*k)*x*log(x) + 4*(a*f*k - (2*f*k*n - f*k*log(c))*b)*x - 2*(b*f*k*x*log(x) - 2*b*f*k*x)*log(x^n))/sqrt(x))/e + integrate(-1/4*(b*f^2*k*n*log(x)^2 - 2*b*f^2*k*log(x)*log(x^n) - 2*(b*f^2*k*log(c) + a*f^2*k)*log(x))/(e*f*sqrt(x) + e^2), x)","F",0
119,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x^2,x, algorithm=""maxima"")","-\frac{b e \log\left(d\right) \log\left(x^{n}\right) + {\left(b e \log\left(x^{n}\right) + {\left(e n + e \log\left(c\right)\right)} b + a e\right)} k \log\left(f \sqrt{x} + e\right) + a e \log\left(d\right) + {\left(e n \log\left(d\right) + e \log\left(c\right) \log\left(d\right)\right)} b + \frac{b f k x \log\left(x^{n}\right) + {\left(a f k + {\left(3 \, f k n + f k \log\left(c\right)\right)} b\right)} x}{\sqrt{x}}}{e x} - \int \frac{b f^{2} k \log\left(x^{n}\right) + a f^{2} k + {\left(f^{2} k n + f^{2} k \log\left(c\right)\right)} b}{2 \, {\left(e f x^{\frac{3}{2}} + e^{2} x\right)}}\,{d x}"," ",0,"-(b*e*log(d)*log(x^n) + (b*e*log(x^n) + (e*n + e*log(c))*b + a*e)*k*log(f*sqrt(x) + e) + a*e*log(d) + (e*n*log(d) + e*log(c)*log(d))*b + (b*f*k*x*log(x^n) + (a*f*k + (3*f*k*n + f*k*log(c))*b)*x)/sqrt(x))/(e*x) - integrate(1/2*(b*f^2*k*log(x^n) + a*f^2*k + (f^2*k*n + f^2*k*log(c))*b)/(e*f*x^(3/2) + e^2*x), x)","F",0
120,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x^3,x, algorithm=""maxima"")","-\frac{18 \, b e \log\left(d\right) \log\left(x^{n}\right) + 9 \, {\left(2 \, b e \log\left(x^{n}\right) + {\left(e n + 2 \, e \log\left(c\right)\right)} b + 2 \, a e\right)} k \log\left(f \sqrt{x} + e\right) + 18 \, a e \log\left(d\right) + 9 \, {\left(e n \log\left(d\right) + 2 \, e \log\left(c\right) \log\left(d\right)\right)} b + \frac{6 \, b f k x \log\left(x^{n}\right) + {\left(6 \, a f k + {\left(7 \, f k n + 6 \, f k \log\left(c\right)\right)} b\right)} x}{\sqrt{x}}}{36 \, e x^{2}} - \int \frac{2 \, b f^{2} k \log\left(x^{n}\right) + 2 \, a f^{2} k + {\left(f^{2} k n + 2 \, f^{2} k \log\left(c\right)\right)} b}{8 \, {\left(e f x^{\frac{5}{2}} + e^{2} x^{2}\right)}}\,{d x}"," ",0,"-1/36*(18*b*e*log(d)*log(x^n) + 9*(2*b*e*log(x^n) + (e*n + 2*e*log(c))*b + 2*a*e)*k*log(f*sqrt(x) + e) + 18*a*e*log(d) + 9*(e*n*log(d) + 2*e*log(c)*log(d))*b + (6*b*f*k*x*log(x^n) + (6*a*f*k + (7*f*k*n + 6*f*k*log(c))*b)*x)/sqrt(x))/(e*x^2) - integrate(1/8*(2*b*f^2*k*log(x^n) + 2*a*f^2*k + (f^2*k*n + 2*f^2*k*log(c))*b)/(e*f*x^(5/2) + e^2*x^2), x)","F",0
121,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x^4,x, algorithm=""maxima"")","-\frac{75 \, b e \log\left(d\right) \log\left(x^{n}\right) + 25 \, {\left(3 \, b e \log\left(x^{n}\right) + {\left(e n + 3 \, e \log\left(c\right)\right)} b + 3 \, a e\right)} k \log\left(f \sqrt{x} + e\right) + 75 \, a e \log\left(d\right) + 25 \, {\left(e n \log\left(d\right) + 3 \, e \log\left(c\right) \log\left(d\right)\right)} b + \frac{15 \, b f k x \log\left(x^{n}\right) + {\left(15 \, a f k + {\left(11 \, f k n + 15 \, f k \log\left(c\right)\right)} b\right)} x}{\sqrt{x}}}{225 \, e x^{3}} - \int \frac{3 \, b f^{2} k \log\left(x^{n}\right) + 3 \, a f^{2} k + {\left(f^{2} k n + 3 \, f^{2} k \log\left(c\right)\right)} b}{18 \, {\left(e f x^{\frac{7}{2}} + e^{2} x^{3}\right)}}\,{d x}"," ",0,"-1/225*(75*b*e*log(d)*log(x^n) + 25*(3*b*e*log(x^n) + (e*n + 3*e*log(c))*b + 3*a*e)*k*log(f*sqrt(x) + e) + 75*a*e*log(d) + 25*(e*n*log(d) + 3*e*log(c)*log(d))*b + (15*b*f*k*x*log(x^n) + (15*a*f*k + (11*f*k*n + 15*f*k*log(c))*b)*x)/sqrt(x))/(e*x^3) - integrate(1/18*(3*b*f^2*k*log(x^n) + 3*a*f^2*k + (f^2*k*n + 3*f^2*k*log(c))*b)/(e*f*x^(7/2) + e^2*x^3), x)","F",0
122,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2*log(d*(e+f*x^(1/2))),x, algorithm=""maxima"")","\int {\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{2} \log\left({\left(f \sqrt{x} + e\right)} d\right)\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x^2*log((f*sqrt(x) + e)*d), x)","F",0
123,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2*log(d*(e+f*x^(1/2))),x, algorithm=""maxima"")","\int {\left(b \log\left(c x^{n}\right) + a\right)}^{2} x \log\left({\left(f \sqrt{x} + e\right)} d\right)\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*x*log((f*sqrt(x) + e)*d), x)","F",0
124,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(e+f*x^(1/2))),x, algorithm=""maxima"")","\frac{27 \, b^{2} e x \log\left(d\right) \log\left(x^{n}\right)^{2} + 54 \, {\left(a b e \log\left(d\right) - {\left(e n \log\left(d\right) - e \log\left(c\right) \log\left(d\right)\right)} b^{2}\right)} x \log\left(x^{n}\right) + 27 \, {\left(a^{2} e \log\left(d\right) - 2 \, {\left(e n \log\left(d\right) - e \log\left(c\right) \log\left(d\right)\right)} a b + {\left(2 \, e n^{2} \log\left(d\right) - 2 \, e n \log\left(c\right) \log\left(d\right) + e \log\left(c\right)^{2} \log\left(d\right)\right)} b^{2}\right)} x + 27 \, {\left(b^{2} e x \log\left(x^{n}\right)^{2} - 2 \, {\left({\left(e n - e \log\left(c\right)\right)} b^{2} - a b e\right)} x \log\left(x^{n}\right) - {\left(2 \, {\left(e n - e \log\left(c\right)\right)} a b - {\left(2 \, e n^{2} - 2 \, e n \log\left(c\right) + e \log\left(c\right)^{2}\right)} b^{2} - a^{2} e\right)} x\right)} \log\left(f \sqrt{x} + e\right) - \frac{9 \, b^{2} f x^{2} \log\left(x^{n}\right)^{2} - 6 \, {\left({\left(5 \, f n - 3 \, f \log\left(c\right)\right)} b^{2} - 3 \, a b f\right)} x^{2} \log\left(x^{n}\right) - {\left(6 \, {\left(5 \, f n - 3 \, f \log\left(c\right)\right)} a b - {\left(38 \, f n^{2} - 30 \, f n \log\left(c\right) + 9 \, f \log\left(c\right)^{2}\right)} b^{2} - 9 \, a^{2} f\right)} x^{2}}{\sqrt{x}}}{27 \, e} + \int \frac{b^{2} f^{2} x \log\left(x^{n}\right)^{2} + 2 \, {\left(a b f^{2} - {\left(f^{2} n - f^{2} \log\left(c\right)\right)} b^{2}\right)} x \log\left(x^{n}\right) + {\left(a^{2} f^{2} - 2 \, {\left(f^{2} n - f^{2} \log\left(c\right)\right)} a b + {\left(2 \, f^{2} n^{2} - 2 \, f^{2} n \log\left(c\right) + f^{2} \log\left(c\right)^{2}\right)} b^{2}\right)} x}{2 \, {\left(e f \sqrt{x} + e^{2}\right)}}\,{d x}"," ",0,"1/27*(27*b^2*e*x*log(d)*log(x^n)^2 + 54*(a*b*e*log(d) - (e*n*log(d) - e*log(c)*log(d))*b^2)*x*log(x^n) + 27*(a^2*e*log(d) - 2*(e*n*log(d) - e*log(c)*log(d))*a*b + (2*e*n^2*log(d) - 2*e*n*log(c)*log(d) + e*log(c)^2*log(d))*b^2)*x + 27*(b^2*e*x*log(x^n)^2 - 2*((e*n - e*log(c))*b^2 - a*b*e)*x*log(x^n) - (2*(e*n - e*log(c))*a*b - (2*e*n^2 - 2*e*n*log(c) + e*log(c)^2)*b^2 - a^2*e)*x)*log(f*sqrt(x) + e) - (9*b^2*f*x^2*log(x^n)^2 - 6*((5*f*n - 3*f*log(c))*b^2 - 3*a*b*f)*x^2*log(x^n) - (6*(5*f*n - 3*f*log(c))*a*b - (38*f*n^2 - 30*f*n*log(c) + 9*f*log(c)^2)*b^2 - 9*a^2*f)*x^2)/sqrt(x))/e + integrate(1/2*(b^2*f^2*x*log(x^n)^2 + 2*(a*b*f^2 - (f^2*n - f^2*log(c))*b^2)*x*log(x^n) + (a^2*f^2 - 2*(f^2*n - f^2*log(c))*a*b + (2*f^2*n^2 - 2*f^2*n*log(c) + f^2*log(c)^2)*b^2)*x)/(e*f*sqrt(x) + e^2), x)","F",0
125,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(e+f*x^(1/2)))/x,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} \log\left({\left(f \sqrt{x} + e\right)} d\right)}{x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*log((f*sqrt(x) + e)*d)/x, x)","F",0
126,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(e+f*x^(1/2)))/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} \log\left({\left(f \sqrt{x} + e\right)} d\right)}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*log((f*sqrt(x) + e)*d)/x^2, x)","F",0
127,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(e+f*x^(1/2)))/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} \log\left({\left(f \sqrt{x} + e\right)} d\right)}{x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*log((f*sqrt(x) + e)*d)/x^3, x)","F",0
128,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^3*log(d*(e+f*x^(1/2))),x, algorithm=""maxima"")","\int {\left(b \log\left(c x^{n}\right) + a\right)}^{3} x \log\left({\left(f \sqrt{x} + e\right)} d\right)\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3*x*log((f*sqrt(x) + e)*d), x)","F",0
129,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(e+f*x^(1/2))),x, algorithm=""maxima"")","\frac{27 \, b^{3} e x \log\left(d\right) \log\left(x^{n}\right)^{3} + 81 \, {\left(a b^{2} e \log\left(d\right) - {\left(e n \log\left(d\right) - e \log\left(c\right) \log\left(d\right)\right)} b^{3}\right)} x \log\left(x^{n}\right)^{2} + 81 \, {\left(a^{2} b e \log\left(d\right) - 2 \, {\left(e n \log\left(d\right) - e \log\left(c\right) \log\left(d\right)\right)} a b^{2} + {\left(2 \, e n^{2} \log\left(d\right) - 2 \, e n \log\left(c\right) \log\left(d\right) + e \log\left(c\right)^{2} \log\left(d\right)\right)} b^{3}\right)} x \log\left(x^{n}\right) + 27 \, {\left(a^{3} e \log\left(d\right) - 3 \, {\left(e n \log\left(d\right) - e \log\left(c\right) \log\left(d\right)\right)} a^{2} b + 3 \, {\left(2 \, e n^{2} \log\left(d\right) - 2 \, e n \log\left(c\right) \log\left(d\right) + e \log\left(c\right)^{2} \log\left(d\right)\right)} a b^{2} - {\left(6 \, e n^{3} \log\left(d\right) - 6 \, e n^{2} \log\left(c\right) \log\left(d\right) + 3 \, e n \log\left(c\right)^{2} \log\left(d\right) - e \log\left(c\right)^{3} \log\left(d\right)\right)} b^{3}\right)} x + 27 \, {\left(b^{3} e x \log\left(x^{n}\right)^{3} - 3 \, {\left({\left(e n - e \log\left(c\right)\right)} b^{3} - a b^{2} e\right)} x \log\left(x^{n}\right)^{2} - 3 \, {\left(2 \, {\left(e n - e \log\left(c\right)\right)} a b^{2} - {\left(2 \, e n^{2} - 2 \, e n \log\left(c\right) + e \log\left(c\right)^{2}\right)} b^{3} - a^{2} b e\right)} x \log\left(x^{n}\right) - {\left(3 \, {\left(e n - e \log\left(c\right)\right)} a^{2} b - 3 \, {\left(2 \, e n^{2} - 2 \, e n \log\left(c\right) + e \log\left(c\right)^{2}\right)} a b^{2} + {\left(6 \, e n^{3} - 6 \, e n^{2} \log\left(c\right) + 3 \, e n \log\left(c\right)^{2} - e \log\left(c\right)^{3}\right)} b^{3} - a^{3} e\right)} x\right)} \log\left(f \sqrt{x} + e\right) - \frac{9 \, b^{3} f x^{2} \log\left(x^{n}\right)^{3} - 9 \, {\left({\left(5 \, f n - 3 \, f \log\left(c\right)\right)} b^{3} - 3 \, a b^{2} f\right)} x^{2} \log\left(x^{n}\right)^{2} - 3 \, {\left(6 \, {\left(5 \, f n - 3 \, f \log\left(c\right)\right)} a b^{2} - {\left(38 \, f n^{2} - 30 \, f n \log\left(c\right) + 9 \, f \log\left(c\right)^{2}\right)} b^{3} - 9 \, a^{2} b f\right)} x^{2} \log\left(x^{n}\right) - {\left(9 \, {\left(5 \, f n - 3 \, f \log\left(c\right)\right)} a^{2} b - 3 \, {\left(38 \, f n^{2} - 30 \, f n \log\left(c\right) + 9 \, f \log\left(c\right)^{2}\right)} a b^{2} + {\left(130 \, f n^{3} - 114 \, f n^{2} \log\left(c\right) + 45 \, f n \log\left(c\right)^{2} - 9 \, f \log\left(c\right)^{3}\right)} b^{3} - 9 \, a^{3} f\right)} x^{2}}{\sqrt{x}}}{27 \, e} + \int \frac{b^{3} f^{2} x \log\left(x^{n}\right)^{3} + 3 \, {\left(a b^{2} f^{2} - {\left(f^{2} n - f^{2} \log\left(c\right)\right)} b^{3}\right)} x \log\left(x^{n}\right)^{2} + 3 \, {\left(a^{2} b f^{2} - 2 \, {\left(f^{2} n - f^{2} \log\left(c\right)\right)} a b^{2} + {\left(2 \, f^{2} n^{2} - 2 \, f^{2} n \log\left(c\right) + f^{2} \log\left(c\right)^{2}\right)} b^{3}\right)} x \log\left(x^{n}\right) + {\left(a^{3} f^{2} - 3 \, {\left(f^{2} n - f^{2} \log\left(c\right)\right)} a^{2} b + 3 \, {\left(2 \, f^{2} n^{2} - 2 \, f^{2} n \log\left(c\right) + f^{2} \log\left(c\right)^{2}\right)} a b^{2} - {\left(6 \, f^{2} n^{3} - 6 \, f^{2} n^{2} \log\left(c\right) + 3 \, f^{2} n \log\left(c\right)^{2} - f^{2} \log\left(c\right)^{3}\right)} b^{3}\right)} x}{2 \, {\left(e f \sqrt{x} + e^{2}\right)}}\,{d x}"," ",0,"1/27*(27*b^3*e*x*log(d)*log(x^n)^3 + 81*(a*b^2*e*log(d) - (e*n*log(d) - e*log(c)*log(d))*b^3)*x*log(x^n)^2 + 81*(a^2*b*e*log(d) - 2*(e*n*log(d) - e*log(c)*log(d))*a*b^2 + (2*e*n^2*log(d) - 2*e*n*log(c)*log(d) + e*log(c)^2*log(d))*b^3)*x*log(x^n) + 27*(a^3*e*log(d) - 3*(e*n*log(d) - e*log(c)*log(d))*a^2*b + 3*(2*e*n^2*log(d) - 2*e*n*log(c)*log(d) + e*log(c)^2*log(d))*a*b^2 - (6*e*n^3*log(d) - 6*e*n^2*log(c)*log(d) + 3*e*n*log(c)^2*log(d) - e*log(c)^3*log(d))*b^3)*x + 27*(b^3*e*x*log(x^n)^3 - 3*((e*n - e*log(c))*b^3 - a*b^2*e)*x*log(x^n)^2 - 3*(2*(e*n - e*log(c))*a*b^2 - (2*e*n^2 - 2*e*n*log(c) + e*log(c)^2)*b^3 - a^2*b*e)*x*log(x^n) - (3*(e*n - e*log(c))*a^2*b - 3*(2*e*n^2 - 2*e*n*log(c) + e*log(c)^2)*a*b^2 + (6*e*n^3 - 6*e*n^2*log(c) + 3*e*n*log(c)^2 - e*log(c)^3)*b^3 - a^3*e)*x)*log(f*sqrt(x) + e) - (9*b^3*f*x^2*log(x^n)^3 - 9*((5*f*n - 3*f*log(c))*b^3 - 3*a*b^2*f)*x^2*log(x^n)^2 - 3*(6*(5*f*n - 3*f*log(c))*a*b^2 - (38*f*n^2 - 30*f*n*log(c) + 9*f*log(c)^2)*b^3 - 9*a^2*b*f)*x^2*log(x^n) - (9*(5*f*n - 3*f*log(c))*a^2*b - 3*(38*f*n^2 - 30*f*n*log(c) + 9*f*log(c)^2)*a*b^2 + (130*f*n^3 - 114*f*n^2*log(c) + 45*f*n*log(c)^2 - 9*f*log(c)^3)*b^3 - 9*a^3*f)*x^2)/sqrt(x))/e + integrate(1/2*(b^3*f^2*x*log(x^n)^3 + 3*(a*b^2*f^2 - (f^2*n - f^2*log(c))*b^3)*x*log(x^n)^2 + 3*(a^2*b*f^2 - 2*(f^2*n - f^2*log(c))*a*b^2 + (2*f^2*n^2 - 2*f^2*n*log(c) + f^2*log(c)^2)*b^3)*x*log(x^n) + (a^3*f^2 - 3*(f^2*n - f^2*log(c))*a^2*b + 3*(2*f^2*n^2 - 2*f^2*n*log(c) + f^2*log(c)^2)*a*b^2 - (6*f^2*n^3 - 6*f^2*n^2*log(c) + 3*f^2*n*log(c)^2 - f^2*log(c)^3)*b^3)*x)/(e*f*sqrt(x) + e^2), x)","F",0
130,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(e+f*x^(1/2)))/x,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3} \log\left({\left(f \sqrt{x} + e\right)} d\right)}{x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3*log((f*sqrt(x) + e)*d)/x, x)","F",0
131,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(e+f*x^(1/2)))/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3} \log\left({\left(f \sqrt{x} + e\right)} d\right)}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3*log((f*sqrt(x) + e)*d)/x^2, x)","F",0
132,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(e+f*x^(1/2)))/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3} \log\left({\left(f \sqrt{x} + e\right)} d\right)}{x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3*log((f*sqrt(x) + e)*d)/x^3, x)","F",0
133,0,0,0,0.000000," ","integrate(x^(3/2)*(a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k),x, algorithm=""maxima"")","\frac{50 \, b e k x^{2} \log\left(x^{n}\right) + 40 \, {\left(5 \, b f x \log\left(x^{n}\right) - {\left({\left(2 \, f n - 5 \, f \log\left(c\right)\right)} b - 5 \, a f\right)} x\right)} k x^{\frac{3}{2}} \log\left(f \sqrt{x} + e\right) + 5 \, {\left(10 \, a e k - {\left(9 \, e k n - 10 \, e k \log\left(c\right)\right)} b\right)} x^{2} + 40 \, {\left(5 \, b f x \log\left(d\right) \log\left(x^{n}\right) + {\left(5 \, a f \log\left(d\right) - {\left(2 \, f n \log\left(d\right) - 5 \, f \log\left(c\right) \log\left(d\right)\right)} b\right)} x\right)} x^{\frac{3}{2}} - 8 \, {\left(5 \, b f k x^{2} \log\left(x^{n}\right) + {\left(5 \, a f k - {\left(4 \, f k n - 5 \, f k \log\left(c\right)\right)} b\right)} x^{2}\right)} \sqrt{x}}{500 \, f} - \int \frac{5 \, b e^{2} k x \log\left(x^{n}\right) + {\left(5 \, a e^{2} k - {\left(2 \, e^{2} k n - 5 \, e^{2} k \log\left(c\right)\right)} b\right)} x}{25 \, {\left(f^{2} \sqrt{x} + e f\right)}}\,{d x}"," ",0,"1/500*(50*b*e*k*x^2*log(x^n) + 40*(5*b*f*x*log(x^n) - ((2*f*n - 5*f*log(c))*b - 5*a*f)*x)*k*x^(3/2)*log(f*sqrt(x) + e) + 5*(10*a*e*k - (9*e*k*n - 10*e*k*log(c))*b)*x^2 + 40*(5*b*f*x*log(d)*log(x^n) + (5*a*f*log(d) - (2*f*n*log(d) - 5*f*log(c)*log(d))*b)*x)*x^(3/2) - 8*(5*b*f*k*x^2*log(x^n) + (5*a*f*k - (4*f*k*n - 5*f*k*log(c))*b)*x^2)*sqrt(x))/f - integrate(1/25*(5*b*e^2*k*x*log(x^n) + (5*a*e^2*k - (2*e^2*k*n - 5*e^2*k*log(c))*b)*x)/(f^2*sqrt(x) + e*f), x)","F",0
134,0,0,0,0.000000," ","integrate(x^(1/2)*(a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k),x, algorithm=""maxima"")","\frac{2}{9} \, {\left(3 \, b x \log\left(x^{n}\right) - {\left(b {\left(2 \, n - 3 \, \log\left(c\right)\right)} - 3 \, a\right)} x\right)} k \sqrt{x} \log\left(f \sqrt{x} + e\right) + \frac{2}{9} \, {\left(3 \, b x \log\left(d\right) \log\left(x^{n}\right) - {\left({\left(2 \, n \log\left(d\right) - 3 \, \log\left(c\right) \log\left(d\right)\right)} b - 3 \, a \log\left(d\right)\right)} x\right)} \sqrt{x} - \int \frac{3 \, b f k x \log\left(x^{n}\right) + {\left(3 \, a f k - {\left(2 \, f k n - 3 \, f k \log\left(c\right)\right)} b\right)} x}{9 \, {\left(f \sqrt{x} + e\right)}}\,{d x}"," ",0,"2/9*(3*b*x*log(x^n) - (b*(2*n - 3*log(c)) - 3*a)*x)*k*sqrt(x)*log(f*sqrt(x) + e) + 2/9*(3*b*x*log(d)*log(x^n) - ((2*n*log(d) - 3*log(c)*log(d))*b - 3*a*log(d))*x)*sqrt(x) - integrate(1/9*(3*b*f*k*x*log(x^n) + (3*a*f*k - (2*f*k*n - 3*f*k*log(c))*b)*x)/(f*sqrt(x) + e), x)","F",0
135,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x^(3/2),x, algorithm=""maxima"")","\frac{2 \, b f k n \log\left(x\right) + b f k \log\left(c\right) \log\left(x\right) + a f k \log\left(x\right) + \frac{b f k \log\left(x^{n}\right)^{2}}{2 \, n}}{e} - \frac{\frac{18 \, {\left(b e^{4} x \log\left(x^{n}\right) + {\left(a e^{4} + {\left(2 \, e^{4} n + e^{4} \log\left(c\right)\right)} b\right)} x\right)} k \log\left(f \sqrt{x} + e\right)}{x^{\frac{3}{2}}} + \frac{2 \, {\left(3 \, b f^{4} k x^{2} \log\left(x^{n}\right) + {\left(3 \, a f^{4} k + {\left(4 \, f^{4} k n + 3 \, f^{4} k \log\left(c\right)\right)} b\right)} x^{2}\right)}}{\sqrt{x}} - \frac{9 \, {\left(b e f^{3} k x^{2} \log\left(x^{n}\right) + {\left(a e f^{3} k + {\left(e f^{3} k n + e f^{3} k \log\left(c\right)\right)} b\right)} x^{2}\right)}}{x} + \frac{18 \, {\left({\left(b e^{2} f^{2} k \log\left(c\right) + a e^{2} f^{2} k\right)} x^{2} + {\left(a e^{4} \log\left(d\right) + {\left(2 \, e^{4} n \log\left(d\right) + e^{4} \log\left(c\right) \log\left(d\right)\right)} b\right)} x + {\left(b e^{2} f^{2} k x^{2} + b e^{4} x \log\left(d\right)\right)} \log\left(x^{n}\right)\right)}}{x^{\frac{3}{2}}}}{9 \, e^{4}} + \int \frac{b f^{5} k x \log\left(x^{n}\right) + {\left(a f^{5} k + {\left(2 \, f^{5} k n + f^{5} k \log\left(c\right)\right)} b\right)} x}{e^{4} f \sqrt{x} + e^{5}}\,{d x}"," ",0,"integrate((b*f*k*x*log(x^n) + (a*f*k + (2*f*k*n + f*k*log(c))*b)*x)/x^2, x)/e - 1/9*(18*(b*e^4*x*log(x^n) + (a*e^4 + (2*e^4*n + e^4*log(c))*b)*x)*k*log(f*sqrt(x) + e)/x^(3/2) + 2*(3*b*f^4*k*x^2*log(x^n) + (3*a*f^4*k + (4*f^4*k*n + 3*f^4*k*log(c))*b)*x^2)/sqrt(x) - 9*(b*e*f^3*k*x^2*log(x^n) + (a*e*f^3*k + (e*f^3*k*n + e*f^3*k*log(c))*b)*x^2)/x + 18*((b*e^2*f^2*k*log(c) + a*e^2*f^2*k)*x^2 + (a*e^4*log(d) + (2*e^4*n*log(d) + e^4*log(c)*log(d))*b)*x + (b*e^2*f^2*k*x^2 + b*e^4*x*log(d))*log(x^n))/x^(3/2))/e^4 + integrate((b*f^5*k*x*log(x^n) + (a*f^5*k + (2*f^5*k*n + f^5*k*log(c))*b)*x)/(e^4*f*sqrt(x) + e^5), x)","F",0
136,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x^(5/2),x, algorithm=""maxima"")","\frac{-\frac{5 \, b f k n}{x} - \frac{3 \, b f k \log\left(c\right)}{x} - \frac{3 \, b f k \log\left(x^{n}\right)}{x} - \frac{3 \, a f k}{x}}{9 \, e} + \frac{2 \, b f^{3} k n \log\left(x\right) + 3 \, b f^{3} k \log\left(c\right) \log\left(x\right) + 3 \, a f^{3} k \log\left(x\right) + \frac{3 \, b f^{3} k \log\left(x^{n}\right)^{2}}{2 \, n}}{9 \, e^{3}} - \frac{\frac{2 \, {\left(b f^{6} k x^{2} \log\left(x^{n}\right) + {\left(b f^{6} k \log\left(c\right) + a f^{6} k\right)} x^{2}\right)}}{\sqrt{x}} + \frac{2 \, {\left(3 \, b e^{6} x \log\left(x^{n}\right) + {\left(3 \, a e^{6} + {\left(2 \, e^{6} n + 3 \, e^{6} \log\left(c\right)\right)} b\right)} x\right)} k \log\left(f \sqrt{x} + e\right)}{x^{\frac{5}{2}}} - \frac{3 \, b e f^{5} k x^{2} \log\left(x^{n}\right) + {\left(3 \, a e f^{5} k - {\left(e f^{5} k n - 3 \, e f^{5} k \log\left(c\right)\right)} b\right)} x^{2}}{x} + \frac{2 \, {\left(3 \, b e^{2} f^{4} k x^{2} \log\left(x^{n}\right) + {\left(3 \, a e^{2} f^{4} k - {\left(4 \, e^{2} f^{4} k n - 3 \, e^{2} f^{4} k \log\left(c\right)\right)} b\right)} x^{2}\right)}}{x^{\frac{3}{2}}} - \frac{2 \, {\left({\left(3 \, a e^{4} f^{2} k + {\left(8 \, e^{4} f^{2} k n + 3 \, e^{4} f^{2} k \log\left(c\right)\right)} b\right)} x^{2} - {\left(3 \, a e^{6} \log\left(d\right) + {\left(2 \, e^{6} n \log\left(d\right) + 3 \, e^{6} \log\left(c\right) \log\left(d\right)\right)} b\right)} x + 3 \, {\left(b e^{4} f^{2} k x^{2} - b e^{6} x \log\left(d\right)\right)} \log\left(x^{n}\right)\right)}}{x^{\frac{5}{2}}}}{9 \, e^{6}} + \int \frac{3 \, b f^{7} k x \log\left(x^{n}\right) + {\left(3 \, a f^{7} k + {\left(2 \, f^{7} k n + 3 \, f^{7} k \log\left(c\right)\right)} b\right)} x}{9 \, {\left(e^{6} f \sqrt{x} + e^{7}\right)}}\,{d x}"," ",0,"1/9*integrate((3*b*f*k*x*log(x^n) + (3*a*f*k + (2*f*k*n + 3*f*k*log(c))*b)*x)/x^3, x)/e + 1/9*integrate((3*b*f^3*k*x*log(x^n) + (3*a*f^3*k + (2*f^3*k*n + 3*f^3*k*log(c))*b)*x)/x^2, x)/e^3 - 1/9*(2*(b*f^6*k*x^2*log(x^n) + (b*f^6*k*log(c) + a*f^6*k)*x^2)/sqrt(x) + 2*(3*b*e^6*x*log(x^n) + (3*a*e^6 + (2*e^6*n + 3*e^6*log(c))*b)*x)*k*log(f*sqrt(x) + e)/x^(5/2) - (3*b*e*f^5*k*x^2*log(x^n) + (3*a*e*f^5*k - (e*f^5*k*n - 3*e*f^5*k*log(c))*b)*x^2)/x + 2*(3*b*e^2*f^4*k*x^2*log(x^n) + (3*a*e^2*f^4*k - (4*e^2*f^4*k*n - 3*e^2*f^4*k*log(c))*b)*x^2)/x^(3/2) - 2*((3*a*e^4*f^2*k + (8*e^4*f^2*k*n + 3*e^4*f^2*k*log(c))*b)*x^2 - (3*a*e^6*log(d) + (2*e^6*n*log(d) + 3*e^6*log(c)*log(d))*b)*x + 3*(b*e^4*f^2*k*x^2 - b*e^6*x*log(d))*log(x^n))/x^(5/2))/e^6 + integrate(1/9*(3*b*f^7*k*x*log(x^n) + (3*a*f^7*k + (2*f^7*k*n + 3*f^7*k*log(c))*b)*x)/(e^6*f*sqrt(x) + e^7), x)","F",0
137,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^(1/2))^k)/x^(7/2),x, algorithm=""maxima"")","\frac{-\frac{9 \, b f k n}{4 \, x^{2}} - \frac{5 \, b f k \log\left(c\right)}{2 \, x^{2}} - \frac{5 \, b f k \log\left(x^{n}\right)}{2 \, x^{2}} - \frac{5 \, a f k}{2 \, x^{2}}}{25 \, e} + \frac{-\frac{7 \, b f^{3} k n}{x} - \frac{5 \, b f^{3} k \log\left(c\right)}{x} - \frac{5 \, b f^{3} k \log\left(x^{n}\right)}{x} - \frac{5 \, a f^{3} k}{x}}{25 \, e^{3}} + \frac{2 \, b f^{5} k n \log\left(x\right) + 5 \, b f^{5} k \log\left(c\right) \log\left(x\right) + 5 \, a f^{5} k \log\left(x\right) + \frac{5 \, b f^{5} k \log\left(x^{n}\right)^{2}}{2 \, n}}{25 \, e^{5}} - \frac{\frac{2 \, {\left(15 \, b f^{8} k x^{2} \log\left(x^{n}\right) + {\left(15 \, a f^{8} k - {\left(4 \, f^{8} k n - 15 \, f^{8} k \log\left(c\right)\right)} b\right)} x^{2}\right)}}{\sqrt{x}} - \frac{9 \, {\left(5 \, b e f^{7} k x^{2} \log\left(x^{n}\right) + {\left(5 \, a e f^{7} k - {\left(3 \, e f^{7} k n - 5 \, e f^{7} k \log\left(c\right)\right)} b\right)} x^{2}\right)}}{x} + \frac{18 \, {\left(5 \, b e^{2} f^{6} k x^{2} \log\left(x^{n}\right) + {\left(5 \, a e^{2} f^{6} k - {\left(8 \, e^{2} f^{6} k n - 5 \, e^{2} f^{6} k \log\left(c\right)\right)} b\right)} x^{2}\right)}}{x^{\frac{3}{2}}} + \frac{18 \, {\left(5 \, b e^{8} x \log\left(x^{n}\right) + {\left(5 \, a e^{8} + {\left(2 \, e^{8} n + 5 \, e^{8} \log\left(c\right)\right)} b\right)} x\right)} k \log\left(f \sqrt{x} + e\right)}{x^{\frac{7}{2}}} - \frac{18 \, {\left(5 \, b e^{4} f^{4} k x^{2} \log\left(x^{n}\right) + {\left(5 \, a e^{4} f^{4} k + {\left(12 \, e^{4} f^{4} k n + 5 \, e^{4} f^{4} k \log\left(c\right)\right)} b\right)} x^{2}\right)}}{x^{\frac{5}{2}}} - \frac{2 \, {\left({\left(15 \, a e^{6} f^{2} k + {\left(16 \, e^{6} f^{2} k n + 15 \, e^{6} f^{2} k \log\left(c\right)\right)} b\right)} x^{2} - 9 \, {\left(5 \, a e^{8} \log\left(d\right) + {\left(2 \, e^{8} n \log\left(d\right) + 5 \, e^{8} \log\left(c\right) \log\left(d\right)\right)} b\right)} x + 15 \, {\left(b e^{6} f^{2} k x^{2} - 3 \, b e^{8} x \log\left(d\right)\right)} \log\left(x^{n}\right)\right)}}{x^{\frac{7}{2}}}}{225 \, e^{8}} + \int \frac{5 \, b f^{9} k x \log\left(x^{n}\right) + {\left(5 \, a f^{9} k + {\left(2 \, f^{9} k n + 5 \, f^{9} k \log\left(c\right)\right)} b\right)} x}{25 \, {\left(e^{8} f \sqrt{x} + e^{9}\right)}}\,{d x}"," ",0,"1/25*integrate((5*b*f*k*x*log(x^n) + (5*a*f*k + (2*f*k*n + 5*f*k*log(c))*b)*x)/x^4, x)/e + 1/25*integrate((5*b*f^3*k*x*log(x^n) + (5*a*f^3*k + (2*f^3*k*n + 5*f^3*k*log(c))*b)*x)/x^3, x)/e^3 + 1/25*integrate((5*b*f^5*k*x*log(x^n) + (5*a*f^5*k + (2*f^5*k*n + 5*f^5*k*log(c))*b)*x)/x^2, x)/e^5 - 1/225*(2*(15*b*f^8*k*x^2*log(x^n) + (15*a*f^8*k - (4*f^8*k*n - 15*f^8*k*log(c))*b)*x^2)/sqrt(x) - 9*(5*b*e*f^7*k*x^2*log(x^n) + (5*a*e*f^7*k - (3*e*f^7*k*n - 5*e*f^7*k*log(c))*b)*x^2)/x + 18*(5*b*e^2*f^6*k*x^2*log(x^n) + (5*a*e^2*f^6*k - (8*e^2*f^6*k*n - 5*e^2*f^6*k*log(c))*b)*x^2)/x^(3/2) + 18*(5*b*e^8*x*log(x^n) + (5*a*e^8 + (2*e^8*n + 5*e^8*log(c))*b)*x)*k*log(f*sqrt(x) + e)/x^(7/2) - 18*(5*b*e^4*f^4*k*x^2*log(x^n) + (5*a*e^4*f^4*k + (12*e^4*f^4*k*n + 5*e^4*f^4*k*log(c))*b)*x^2)/x^(5/2) - 2*((15*a*e^6*f^2*k + (16*e^6*f^2*k*n + 15*e^6*f^2*k*log(c))*b)*x^2 - 9*(5*a*e^8*log(d) + (2*e^8*n*log(d) + 5*e^8*log(c)*log(d))*b)*x + 15*(b*e^6*f^2*k*x^2 - 3*b*e^8*x*log(d))*log(x^n))/x^(7/2))/e^8 + integrate(1/25*(5*b*f^9*k*x*log(x^n) + (5*a*f^9*k + (2*f^9*k*n + 5*f^9*k*log(c))*b)*x)/(e^8*f*sqrt(x) + e^9), x)","F",0
138,0,0,0,0.000000," ","integrate((g*x)^q*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""maxima"")","\frac{{\left(b g^{q} {\left(q + 1\right)} x x^{q} \log\left(x^{n}\right) + {\left(a g^{q} {\left(q + 1\right)} + {\left(g^{q} {\left(q + 1\right)} \log\left(c\right) - g^{q} n\right)} b\right)} x x^{q}\right)} \log\left({\left(f x^{m} + e\right)}^{k}\right)}{q^{2} + 2 \, q + 1} + \int \frac{{\left({\left(q^{2} + 2 \, q + 1\right)} b e g^{q} \log\left(d\right) - {\left(f g^{q} k m {\left(q + 1\right)} - {\left(q^{2} + 2 \, q + 1\right)} f g^{q} \log\left(d\right)\right)} b x^{m}\right)} x^{q} \log\left(x^{n}\right) + {\left({\left(q^{2} + 2 \, q + 1\right)} b e g^{q} \log\left(c\right) \log\left(d\right) + {\left(q^{2} + 2 \, q + 1\right)} a e g^{q} \log\left(d\right) - {\left({\left(f g^{q} k m {\left(q + 1\right)} - {\left(q^{2} + 2 \, q + 1\right)} f g^{q} \log\left(d\right)\right)} a - {\left(f g^{q} k m n - {\left(f g^{q} k m {\left(q + 1\right)} - {\left(q^{2} + 2 \, q + 1\right)} f g^{q} \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{m}\right)} x^{q}}{{\left(q^{2} + 2 \, q + 1\right)} f x^{m} + {\left(q^{2} + 2 \, q + 1\right)} e}\,{d x}"," ",0,"(b*g^q*(q + 1)*x*x^q*log(x^n) + (a*g^q*(q + 1) + (g^q*(q + 1)*log(c) - g^q*n)*b)*x*x^q)*log((f*x^m + e)^k)/(q^2 + 2*q + 1) + integrate((((q^2 + 2*q + 1)*b*e*g^q*log(d) - (f*g^q*k*m*(q + 1) - (q^2 + 2*q + 1)*f*g^q*log(d))*b*x^m)*x^q*log(x^n) + ((q^2 + 2*q + 1)*b*e*g^q*log(c)*log(d) + (q^2 + 2*q + 1)*a*e*g^q*log(d) - ((f*g^q*k*m*(q + 1) - (q^2 + 2*q + 1)*f*g^q*log(d))*a - (f*g^q*k*m*n - (f*g^q*k*m*(q + 1) - (q^2 + 2*q + 1)*f*g^q*log(d))*log(c))*b)*x^m)*x^q)/((q^2 + 2*q + 1)*f*x^m + (q^2 + 2*q + 1)*e), x)","F",0
139,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*log(d*(e+f*x^m)^r)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(b^{3} n^{3} \log\left(x\right)^{4} - 4 \, b^{3} \log\left(x\right) \log\left(x^{n}\right)^{3} - 4 \, {\left(b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} \log\left(x\right)^{3} + 6 \, {\left(b^{3} n \log\left(c\right)^{2} + 2 \, a b^{2} n \log\left(c\right) + a^{2} b n\right)} \log\left(x\right)^{2} + 6 \, {\left(b^{3} n \log\left(x\right)^{2} - 2 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left(x\right)\right)} \log\left(x^{n}\right)^{2} - 4 \, {\left(b^{3} n^{2} \log\left(x\right)^{3} - 3 \, {\left(b^{3} n \log\left(c\right) + a b^{2} n\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} + 2 \, a b^{2} \log\left(c\right) + a^{2} b\right)} \log\left(x\right)\right)} \log\left(x^{n}\right) - 4 \, {\left(b^{3} \log\left(c\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + a^{3}\right)} \log\left(x\right)\right)} \log\left({\left(f x^{m} + e\right)}^{r}\right) - \int -\frac{4 \, b^{3} e \log\left(c\right)^{3} \log\left(d\right) + 12 \, a b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 12 \, a^{2} b e \log\left(c\right) \log\left(d\right) + 4 \, a^{3} e \log\left(d\right) + 4 \, {\left(b^{3} e \log\left(d\right) - {\left(b^{3} f m r \log\left(x\right) - b^{3} f \log\left(d\right)\right)} x^{m}\right)} \log\left(x^{n}\right)^{3} + 6 \, {\left(2 \, b^{3} e \log\left(c\right) \log\left(d\right) + 2 \, a b^{2} e \log\left(d\right) + {\left(b^{3} f m n r \log\left(x\right)^{2} + 2 \, b^{3} f \log\left(c\right) \log\left(d\right) + 2 \, a b^{2} f \log\left(d\right) - 2 \, {\left(b^{3} f m r \log\left(c\right) + a b^{2} f m r\right)} \log\left(x\right)\right)} x^{m}\right)} \log\left(x^{n}\right)^{2} + {\left(b^{3} f m n^{3} r \log\left(x\right)^{4} + 4 \, b^{3} f \log\left(c\right)^{3} \log\left(d\right) + 12 \, a b^{2} f \log\left(c\right)^{2} \log\left(d\right) + 12 \, a^{2} b f \log\left(c\right) \log\left(d\right) + 4 \, a^{3} f \log\left(d\right) - 4 \, {\left(b^{3} f m n^{2} r \log\left(c\right) + a b^{2} f m n^{2} r\right)} \log\left(x\right)^{3} + 6 \, {\left(b^{3} f m n r \log\left(c\right)^{2} + 2 \, a b^{2} f m n r \log\left(c\right) + a^{2} b f m n r\right)} \log\left(x\right)^{2} - 4 \, {\left(b^{3} f m r \log\left(c\right)^{3} + 3 \, a b^{2} f m r \log\left(c\right)^{2} + 3 \, a^{2} b f m r \log\left(c\right) + a^{3} f m r\right)} \log\left(x\right)\right)} x^{m} + 4 \, {\left(3 \, b^{3} e \log\left(c\right)^{2} \log\left(d\right) + 6 \, a b^{2} e \log\left(c\right) \log\left(d\right) + 3 \, a^{2} b e \log\left(d\right) - {\left(b^{3} f m n^{2} r \log\left(x\right)^{3} - 3 \, b^{3} f \log\left(c\right)^{2} \log\left(d\right) - 6 \, a b^{2} f \log\left(c\right) \log\left(d\right) - 3 \, a^{2} b f \log\left(d\right) - 3 \, {\left(b^{3} f m n r \log\left(c\right) + a b^{2} f m n r\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{3} f m r \log\left(c\right)^{2} + 2 \, a b^{2} f m r \log\left(c\right) + a^{2} b f m r\right)} \log\left(x\right)\right)} x^{m}\right)} \log\left(x^{n}\right)}{4 \, {\left(f x x^{m} + e x\right)}}\,{d x}"," ",0,"-1/4*(b^3*n^3*log(x)^4 - 4*b^3*log(x)*log(x^n)^3 - 4*(b^3*n^2*log(c) + a*b^2*n^2)*log(x)^3 + 6*(b^3*n*log(c)^2 + 2*a*b^2*n*log(c) + a^2*b*n)*log(x)^2 + 6*(b^3*n*log(x)^2 - 2*(b^3*log(c) + a*b^2)*log(x))*log(x^n)^2 - 4*(b^3*n^2*log(x)^3 - 3*(b^3*n*log(c) + a*b^2*n)*log(x)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(x))*log(x^n) - 4*(b^3*log(c)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + a^3)*log(x))*log((f*x^m + e)^r) - integrate(-1/4*(4*b^3*e*log(c)^3*log(d) + 12*a*b^2*e*log(c)^2*log(d) + 12*a^2*b*e*log(c)*log(d) + 4*a^3*e*log(d) + 4*(b^3*e*log(d) - (b^3*f*m*r*log(x) - b^3*f*log(d))*x^m)*log(x^n)^3 + 6*(2*b^3*e*log(c)*log(d) + 2*a*b^2*e*log(d) + (b^3*f*m*n*r*log(x)^2 + 2*b^3*f*log(c)*log(d) + 2*a*b^2*f*log(d) - 2*(b^3*f*m*r*log(c) + a*b^2*f*m*r)*log(x))*x^m)*log(x^n)^2 + (b^3*f*m*n^3*r*log(x)^4 + 4*b^3*f*log(c)^3*log(d) + 12*a*b^2*f*log(c)^2*log(d) + 12*a^2*b*f*log(c)*log(d) + 4*a^3*f*log(d) - 4*(b^3*f*m*n^2*r*log(c) + a*b^2*f*m*n^2*r)*log(x)^3 + 6*(b^3*f*m*n*r*log(c)^2 + 2*a*b^2*f*m*n*r*log(c) + a^2*b*f*m*n*r)*log(x)^2 - 4*(b^3*f*m*r*log(c)^3 + 3*a*b^2*f*m*r*log(c)^2 + 3*a^2*b*f*m*r*log(c) + a^3*f*m*r)*log(x))*x^m + 4*(3*b^3*e*log(c)^2*log(d) + 6*a*b^2*e*log(c)*log(d) + 3*a^2*b*e*log(d) - (b^3*f*m*n^2*r*log(x)^3 - 3*b^3*f*log(c)^2*log(d) - 6*a*b^2*f*log(c)*log(d) - 3*a^2*b*f*log(d) - 3*(b^3*f*m*n*r*log(c) + a*b^2*f*m*n*r)*log(x)^2 + 3*(b^3*f*m*r*log(c)^2 + 2*a*b^2*f*m*r*log(c) + a^2*b*f*m*r)*log(x))*x^m)*log(x^n))/(f*x*x^m + e*x), x)","F",0
140,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*log(d*(e+f*x^m)^r)/x,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(b^{2} n^{2} \log\left(x\right)^{3} + 3 \, b^{2} \log\left(x\right) \log\left(x^{n}\right)^{2} - 3 \, {\left(b^{2} n \log\left(c\right) + a b n\right)} \log\left(x\right)^{2} - 3 \, {\left(b^{2} n \log\left(x\right)^{2} - 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x\right)\right)} \log\left(x^{n}\right) + 3 \, {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right) + a^{2}\right)} \log\left(x\right)\right)} \log\left({\left(f x^{m} + e\right)}^{r}\right) - \int -\frac{3 \, b^{2} e \log\left(c\right)^{2} \log\left(d\right) + 6 \, a b e \log\left(c\right) \log\left(d\right) + 3 \, a^{2} e \log\left(d\right) + 3 \, {\left(b^{2} e \log\left(d\right) - {\left(b^{2} f m r \log\left(x\right) - b^{2} f \log\left(d\right)\right)} x^{m}\right)} \log\left(x^{n}\right)^{2} - {\left(b^{2} f m n^{2} r \log\left(x\right)^{3} - 3 \, b^{2} f \log\left(c\right)^{2} \log\left(d\right) - 6 \, a b f \log\left(c\right) \log\left(d\right) - 3 \, a^{2} f \log\left(d\right) - 3 \, {\left(b^{2} f m n r \log\left(c\right) + a b f m n r\right)} \log\left(x\right)^{2} + 3 \, {\left(b^{2} f m r \log\left(c\right)^{2} + 2 \, a b f m r \log\left(c\right) + a^{2} f m r\right)} \log\left(x\right)\right)} x^{m} + 3 \, {\left(2 \, b^{2} e \log\left(c\right) \log\left(d\right) + 2 \, a b e \log\left(d\right) + {\left(b^{2} f m n r \log\left(x\right)^{2} + 2 \, b^{2} f \log\left(c\right) \log\left(d\right) + 2 \, a b f \log\left(d\right) - 2 \, {\left(b^{2} f m r \log\left(c\right) + a b f m r\right)} \log\left(x\right)\right)} x^{m}\right)} \log\left(x^{n}\right)}{3 \, {\left(f x x^{m} + e x\right)}}\,{d x}"," ",0,"1/3*(b^2*n^2*log(x)^3 + 3*b^2*log(x)*log(x^n)^2 - 3*(b^2*n*log(c) + a*b*n)*log(x)^2 - 3*(b^2*n*log(x)^2 - 2*(b^2*log(c) + a*b)*log(x))*log(x^n) + 3*(b^2*log(c)^2 + 2*a*b*log(c) + a^2)*log(x))*log((f*x^m + e)^r) - integrate(-1/3*(3*b^2*e*log(c)^2*log(d) + 6*a*b*e*log(c)*log(d) + 3*a^2*e*log(d) + 3*(b^2*e*log(d) - (b^2*f*m*r*log(x) - b^2*f*log(d))*x^m)*log(x^n)^2 - (b^2*f*m*n^2*r*log(x)^3 - 3*b^2*f*log(c)^2*log(d) - 6*a*b*f*log(c)*log(d) - 3*a^2*f*log(d) - 3*(b^2*f*m*n*r*log(c) + a*b*f*m*n*r)*log(x)^2 + 3*(b^2*f*m*r*log(c)^2 + 2*a*b*f*m*r*log(c) + a^2*f*m*r)*log(x))*x^m + 3*(2*b^2*e*log(c)*log(d) + 2*a*b*e*log(d) + (b^2*f*m*n*r*log(x)^2 + 2*b^2*f*log(c)*log(d) + 2*a*b*f*log(d) - 2*(b^2*f*m*r*log(c) + a*b*f*m*r)*log(x))*x^m)*log(x^n))/(f*x*x^m + e*x), x)","F",0
141,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^m)^r)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(b n \log\left(x\right)^{2} - 2 \, b \log\left(x\right) \log\left(x^{n}\right) - 2 \, {\left(b \log\left(c\right) + a\right)} \log\left(x\right)\right)} \log\left({\left(f x^{m} + e\right)}^{r}\right) - \int -\frac{2 \, b e \log\left(c\right) \log\left(d\right) + 2 \, a e \log\left(d\right) + {\left(b f m n r \log\left(x\right)^{2} + 2 \, b f \log\left(c\right) \log\left(d\right) + 2 \, a f \log\left(d\right) - 2 \, {\left(b f m r \log\left(c\right) + a f m r\right)} \log\left(x\right)\right)} x^{m} + 2 \, {\left(b e \log\left(d\right) - {\left(b f m r \log\left(x\right) - b f \log\left(d\right)\right)} x^{m}\right)} \log\left(x^{n}\right)}{2 \, {\left(f x x^{m} + e x\right)}}\,{d x}"," ",0,"-1/2*(b*n*log(x)^2 - 2*b*log(x)*log(x^n) - 2*(b*log(c) + a)*log(x))*log((f*x^m + e)^r) - integrate(-1/2*(2*b*e*log(c)*log(d) + 2*a*e*log(d) + (b*f*m*n*r*log(x)^2 + 2*b*f*log(c)*log(d) + 2*a*f*log(d) - 2*(b*f*m*r*log(c) + a*f*m*r)*log(x))*x^m + 2*(b*e*log(d) - (b*f*m*r*log(x) - b*f*log(d))*x^m)*log(x^n))/(f*x*x^m + e*x), x)","F",0
142,0,0,0,0.000000," ","integrate(log(d*(e+f*x^m)^r)/x/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{\log\left({\left(f x^{m} + e\right)}^{r} d\right)}{{\left(b \log\left(c x^{n}\right) + a\right)} x}\,{d x}"," ",0,"integrate(log((f*x^m + e)^r*d)/((b*log(c*x^n) + a)*x), x)","F",0
143,0,0,0,0.000000," ","integrate(log(d*(e+f*x^m)^r)/x/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","f m r \int \frac{x^{m}}{{\left(b^{2} f n \log\left(c\right) + a b f n\right)} x x^{m} + {\left(b^{2} e n \log\left(c\right) + a b e n\right)} x + {\left(b^{2} f n x x^{m} + b^{2} e n x\right)} \log\left(x^{n}\right)}\,{d x} - \frac{\log\left({\left(f x^{m} + e\right)}^{r}\right) + \log\left(d\right)}{b^{2} n \log\left(c\right) + b^{2} n \log\left(x^{n}\right) + a b n}"," ",0,"f*m*r*integrate(x^m/((b^2*f*n*log(c) + a*b*f*n)*x*x^m + (b^2*e*n*log(c) + a*b*e*n)*x + (b^2*f*n*x*x^m + b^2*e*n*x)*log(x^n)), x) - (log((f*x^m + e)^r) + log(d))/(b^2*n*log(c) + b^2*n*log(x^n) + a*b*n)","F",0
144,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""maxima"")","\frac{1}{9} \, {\left(3 \, b x^{3} \log\left(x^{n}\right) - {\left(b {\left(n - 3 \, \log\left(c\right)\right)} - 3 \, a\right)} x^{3}\right)} \log\left({\left(f x^{m} + e\right)}^{k}\right) + \int -\frac{{\left(3 \, {\left(f k m - 3 \, f \log\left(d\right)\right)} a - {\left(f k m n - 3 \, {\left(f k m - 3 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{2} x^{m} - 9 \, {\left(b e \log\left(c\right) \log\left(d\right) + a e \log\left(d\right)\right)} x^{2} + 3 \, {\left({\left(f k m - 3 \, f \log\left(d\right)\right)} b x^{2} x^{m} - 3 \, b e x^{2} \log\left(d\right)\right)} \log\left(x^{n}\right)}{9 \, {\left(f x^{m} + e\right)}}\,{d x}"," ",0,"1/9*(3*b*x^3*log(x^n) - (b*(n - 3*log(c)) - 3*a)*x^3)*log((f*x^m + e)^k) + integrate(-1/9*((3*(f*k*m - 3*f*log(d))*a - (f*k*m*n - 3*(f*k*m - 3*f*log(d))*log(c))*b)*x^2*x^m - 9*(b*e*log(c)*log(d) + a*e*log(d))*x^2 + 3*((f*k*m - 3*f*log(d))*b*x^2*x^m - 3*b*e*x^2*log(d))*log(x^n))/(f*x^m + e), x)","F",0
145,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(2 \, b x^{2} \log\left(x^{n}\right) - {\left(b {\left(n - 2 \, \log\left(c\right)\right)} - 2 \, a\right)} x^{2}\right)} \log\left({\left(f x^{m} + e\right)}^{k}\right) + \int -\frac{{\left(2 \, {\left(f k m - 2 \, f \log\left(d\right)\right)} a - {\left(f k m n - 2 \, {\left(f k m - 2 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x x^{m} - 4 \, {\left(b e \log\left(c\right) \log\left(d\right) + a e \log\left(d\right)\right)} x + 2 \, {\left({\left(f k m - 2 \, f \log\left(d\right)\right)} b x x^{m} - 2 \, b e x \log\left(d\right)\right)} \log\left(x^{n}\right)}{4 \, {\left(f x^{m} + e\right)}}\,{d x}"," ",0,"1/4*(2*b*x^2*log(x^n) - (b*(n - 2*log(c)) - 2*a)*x^2)*log((f*x^m + e)^k) + integrate(-1/4*((2*(f*k*m - 2*f*log(d))*a - (f*k*m*n - 2*(f*k*m - 2*f*log(d))*log(c))*b)*x*x^m - 4*(b*e*log(c)*log(d) + a*e*log(d))*x + 2*((f*k*m - 2*f*log(d))*b*x*x^m - 2*b*e*x*log(d))*log(x^n))/(f*x^m + e), x)","F",0
146,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""maxima"")","{\left(b x \log\left(x^{n}\right) - {\left(b {\left(n - \log\left(c\right)\right)} - a\right)} x\right)} \log\left({\left(f x^{m} + e\right)}^{k}\right) + \int \frac{b e \log\left(c\right) \log\left(d\right) + a e \log\left(d\right) - {\left({\left(f k m - f \log\left(d\right)\right)} a - {\left(f k m n - {\left(f k m - f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{m} - {\left({\left(f k m - f \log\left(d\right)\right)} b x^{m} - b e \log\left(d\right)\right)} \log\left(x^{n}\right)}{f x^{m} + e}\,{d x}"," ",0,"(b*x*log(x^n) - (b*(n - log(c)) - a)*x)*log((f*x^m + e)^k) + integrate((b*e*log(c)*log(d) + a*e*log(d) - ((f*k*m - f*log(d))*a - (f*k*m*n - (f*k*m - f*log(d))*log(c))*b)*x^m - ((f*k*m - f*log(d))*b*x^m - b*e*log(d))*log(x^n))/(f*x^m + e), x)","F",0
147,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^m)^k)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(b n \log\left(x\right)^{2} - 2 \, b \log\left(x\right) \log\left(x^{n}\right) - 2 \, {\left(b \log\left(c\right) + a\right)} \log\left(x\right)\right)} \log\left({\left(f x^{m} + e\right)}^{k}\right) - \int -\frac{2 \, b e \log\left(c\right) \log\left(d\right) + 2 \, a e \log\left(d\right) + {\left(b f k m n \log\left(x\right)^{2} + 2 \, b f \log\left(c\right) \log\left(d\right) + 2 \, a f \log\left(d\right) - 2 \, {\left(b f k m \log\left(c\right) + a f k m\right)} \log\left(x\right)\right)} x^{m} + 2 \, {\left(b e \log\left(d\right) - {\left(b f k m \log\left(x\right) - b f \log\left(d\right)\right)} x^{m}\right)} \log\left(x^{n}\right)}{2 \, {\left(f x x^{m} + e x\right)}}\,{d x}"," ",0,"-1/2*(b*n*log(x)^2 - 2*b*log(x)*log(x^n) - 2*(b*log(c) + a)*log(x))*log((f*x^m + e)^k) - integrate(-1/2*(2*b*e*log(c)*log(d) + 2*a*e*log(d) + (b*f*k*m*n*log(x)^2 + 2*b*f*log(c)*log(d) + 2*a*f*log(d) - 2*(b*f*k*m*log(c) + a*f*k*m)*log(x))*x^m + 2*(b*e*log(d) - (b*f*k*m*log(x) - b*f*log(d))*x^m)*log(x^n))/(f*x*x^m + e*x), x)","F",0
148,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^m)^k)/x^2,x, algorithm=""maxima"")","-\frac{{\left(b {\left(n + \log\left(c\right)\right)} + b \log\left(x^{n}\right) + a\right)} \log\left({\left(f x^{m} + e\right)}^{k}\right)}{x} + \int \frac{b e \log\left(c\right) \log\left(d\right) + a e \log\left(d\right) + {\left({\left(f k m + f \log\left(d\right)\right)} a + {\left(f k m n + {\left(f k m + f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{m} + {\left({\left(f k m + f \log\left(d\right)\right)} b x^{m} + b e \log\left(d\right)\right)} \log\left(x^{n}\right)}{f x^{2} x^{m} + e x^{2}}\,{d x}"," ",0,"-(b*(n + log(c)) + b*log(x^n) + a)*log((f*x^m + e)^k)/x + integrate((b*e*log(c)*log(d) + a*e*log(d) + ((f*k*m + f*log(d))*a + (f*k*m*n + (f*k*m + f*log(d))*log(c))*b)*x^m + ((f*k*m + f*log(d))*b*x^m + b*e*log(d))*log(x^n))/(f*x^2*x^m + e*x^2), x)","F",0
149,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*log(d*(e+f*x^m)^k)/x^3,x, algorithm=""maxima"")","-\frac{{\left(b {\left(n + 2 \, \log\left(c\right)\right)} + 2 \, b \log\left(x^{n}\right) + 2 \, a\right)} \log\left({\left(f x^{m} + e\right)}^{k}\right)}{4 \, x^{2}} + \int \frac{4 \, b e \log\left(c\right) \log\left(d\right) + 4 \, a e \log\left(d\right) + {\left(2 \, {\left(f k m + 2 \, f \log\left(d\right)\right)} a + {\left(f k m n + 2 \, {\left(f k m + 2 \, f \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{m} + 2 \, {\left({\left(f k m + 2 \, f \log\left(d\right)\right)} b x^{m} + 2 \, b e \log\left(d\right)\right)} \log\left(x^{n}\right)}{4 \, {\left(f x^{3} x^{m} + e x^{3}\right)}}\,{d x}"," ",0,"-1/4*(b*(n + 2*log(c)) + 2*b*log(x^n) + 2*a)*log((f*x^m + e)^k)/x^2 + integrate(1/4*(4*b*e*log(c)*log(d) + 4*a*e*log(d) + (2*(f*k*m + 2*f*log(d))*a + (f*k*m*n + 2*(f*k*m + 2*f*log(d))*log(c))*b)*x^m + 2*((f*k*m + 2*f*log(d))*b*x^m + 2*b*e*log(d))*log(x^n))/(f*x^3*x^m + e*x^3), x)","F",0
150,0,0,0,0.000000," ","integrate((g*x)^(-1+3*m)*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""maxima"")","\frac{{\left(3 \, b g^{3 \, m} m x^{3 \, m} \log\left(x^{n}\right) + {\left(3 \, a g^{3 \, m} m + {\left(3 \, g^{3 \, m} m \log\left(c\right) - g^{3 \, m} n\right)} b\right)} x^{3 \, m}\right)} \log\left({\left(f x^{m} + e\right)}^{k}\right)}{9 \, g m^{2}} + \int -\frac{{\left(3 \, {\left(f g^{3 \, m} k m - 3 \, f g^{3 \, m} m \log\left(d\right)\right)} a - {\left(f g^{3 \, m} k n - 3 \, {\left(f g^{3 \, m} k m - 3 \, f g^{3 \, m} m \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{4 \, m} - 9 \, {\left(b e g^{3 \, m} m \log\left(c\right) \log\left(d\right) + a e g^{3 \, m} m \log\left(d\right)\right)} x^{3 \, m} - 3 \, {\left(3 \, b e g^{3 \, m} m x^{3 \, m} \log\left(d\right) - {\left(f g^{3 \, m} k m - 3 \, f g^{3 \, m} m \log\left(d\right)\right)} b x^{4 \, m}\right)} \log\left(x^{n}\right)}{9 \, {\left(f g m x x^{m} + e g m x\right)}}\,{d x}"," ",0,"1/9*(3*b*g^(3*m)*m*x^(3*m)*log(x^n) + (3*a*g^(3*m)*m + (3*g^(3*m)*m*log(c) - g^(3*m)*n)*b)*x^(3*m))*log((f*x^m + e)^k)/(g*m^2) + integrate(-1/9*((3*(f*g^(3*m)*k*m - 3*f*g^(3*m)*m*log(d))*a - (f*g^(3*m)*k*n - 3*(f*g^(3*m)*k*m - 3*f*g^(3*m)*m*log(d))*log(c))*b)*x^(4*m) - 9*(b*e*g^(3*m)*m*log(c)*log(d) + a*e*g^(3*m)*m*log(d))*x^(3*m) - 3*(3*b*e*g^(3*m)*m*x^(3*m)*log(d) - (f*g^(3*m)*k*m - 3*f*g^(3*m)*m*log(d))*b*x^(4*m))*log(x^n))/(f*g*m*x*x^m + e*g*m*x), x)","F",0
151,0,0,0,0.000000," ","integrate((g*x)^(-1+2*m)*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""maxima"")","\frac{{\left(2 \, b g^{2 \, m} m x^{2 \, m} \log\left(x^{n}\right) + {\left(2 \, a g^{2 \, m} m + {\left(2 \, g^{2 \, m} m \log\left(c\right) - g^{2 \, m} n\right)} b\right)} x^{2 \, m}\right)} \log\left({\left(f x^{m} + e\right)}^{k}\right)}{4 \, g m^{2}} + \int -\frac{{\left(2 \, {\left(f g^{2 \, m} k m - 2 \, f g^{2 \, m} m \log\left(d\right)\right)} a - {\left(f g^{2 \, m} k n - 2 \, {\left(f g^{2 \, m} k m - 2 \, f g^{2 \, m} m \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{3 \, m} - 4 \, {\left(b e g^{2 \, m} m \log\left(c\right) \log\left(d\right) + a e g^{2 \, m} m \log\left(d\right)\right)} x^{2 \, m} - 2 \, {\left(2 \, b e g^{2 \, m} m x^{2 \, m} \log\left(d\right) - {\left(f g^{2 \, m} k m - 2 \, f g^{2 \, m} m \log\left(d\right)\right)} b x^{3 \, m}\right)} \log\left(x^{n}\right)}{4 \, {\left(f g m x x^{m} + e g m x\right)}}\,{d x}"," ",0,"1/4*(2*b*g^(2*m)*m*x^(2*m)*log(x^n) + (2*a*g^(2*m)*m + (2*g^(2*m)*m*log(c) - g^(2*m)*n)*b)*x^(2*m))*log((f*x^m + e)^k)/(g*m^2) + integrate(-1/4*((2*(f*g^(2*m)*k*m - 2*f*g^(2*m)*m*log(d))*a - (f*g^(2*m)*k*n - 2*(f*g^(2*m)*k*m - 2*f*g^(2*m)*m*log(d))*log(c))*b)*x^(3*m) - 4*(b*e*g^(2*m)*m*log(c)*log(d) + a*e*g^(2*m)*m*log(d))*x^(2*m) - 2*(2*b*e*g^(2*m)*m*x^(2*m)*log(d) - (f*g^(2*m)*k*m - 2*f*g^(2*m)*m*log(d))*b*x^(3*m))*log(x^n))/(f*g*m*x*x^m + e*g*m*x), x)","F",0
152,0,0,0,0.000000," ","integrate((g*x)^(-1+m)*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""maxima"")","\frac{{\left(b g^{m} m x^{m} \log\left(x^{n}\right) + {\left(a g^{m} m + {\left(g^{m} m \log\left(c\right) - g^{m} n\right)} b\right)} x^{m}\right)} \log\left({\left(f x^{m} + e\right)}^{k}\right)}{g m^{2}} + \int -\frac{{\left({\left(f g^{m} k m - f g^{m} m \log\left(d\right)\right)} a - {\left(f g^{m} k n - {\left(f g^{m} k m - f g^{m} m \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{2 \, m} - {\left(b e g^{m} m \log\left(c\right) \log\left(d\right) + a e g^{m} m \log\left(d\right)\right)} x^{m} - {\left(b e g^{m} m x^{m} \log\left(d\right) - {\left(f g^{m} k m - f g^{m} m \log\left(d\right)\right)} b x^{2 \, m}\right)} \log\left(x^{n}\right)}{f g m x x^{m} + e g m x}\,{d x}"," ",0,"(b*g^m*m*x^m*log(x^n) + (a*g^m*m + (g^m*m*log(c) - g^m*n)*b)*x^m)*log((f*x^m + e)^k)/(g*m^2) + integrate(-(((f*g^m*k*m - f*g^m*m*log(d))*a - (f*g^m*k*n - (f*g^m*k*m - f*g^m*m*log(d))*log(c))*b)*x^(2*m) - (b*e*g^m*m*log(c)*log(d) + a*e*g^m*m*log(d))*x^m - (b*e*g^m*m*x^m*log(d) - (f*g^m*k*m - f*g^m*m*log(d))*b*x^(2*m))*log(x^n))/(f*g*m*x*x^m + e*g*m*x), x)","F",0
153,0,0,0,0.000000," ","integrate((g*x)^(-1-m)*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""maxima"")","-\frac{{\left(b m \log\left(x^{n}\right) + {\left(m \log\left(c\right) + n\right)} b + a m\right)} g^{-m - 1} \log\left({\left(f x^{m} + e\right)}^{k}\right)}{m^{2} x^{m}} + \int \frac{b e m \log\left(c\right) \log\left(d\right) + a e m \log\left(d\right) + {\left({\left(f k m + f m \log\left(d\right)\right)} a + {\left(f k n + {\left(f k m + f m \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{m} + {\left(b e m \log\left(d\right) + {\left(f k m + f m \log\left(d\right)\right)} b x^{m}\right)} \log\left(x^{n}\right)}{f g^{m + 1} m x x^{2 \, m} + e g^{m + 1} m x x^{m}}\,{d x}"," ",0,"-(b*m*log(x^n) + (m*log(c) + n)*b + a*m)*g^(-m - 1)*log((f*x^m + e)^k)/(m^2*x^m) + integrate((b*e*m*log(c)*log(d) + a*e*m*log(d) + ((f*k*m + f*m*log(d))*a + (f*k*n + (f*k*m + f*m*log(d))*log(c))*b)*x^m + (b*e*m*log(d) + (f*k*m + f*m*log(d))*b*x^m)*log(x^n))/(f*g^(m + 1)*m*x*x^(2*m) + e*g^(m + 1)*m*x*x^m), x)","F",0
154,0,0,0,0.000000," ","integrate((g*x)^(-1-2*m)*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""maxima"")","-\frac{{\left(2 \, b m \log\left(x^{n}\right) + {\left(2 \, m \log\left(c\right) + n\right)} b + 2 \, a m\right)} g^{-2 \, m - 1} \log\left({\left(f x^{m} + e\right)}^{k}\right)}{4 \, m^{2} x^{2 \, m}} + \int \frac{4 \, b e m \log\left(c\right) \log\left(d\right) + 4 \, a e m \log\left(d\right) + {\left(2 \, {\left(f k m + 2 \, f m \log\left(d\right)\right)} a + {\left(f k n + 2 \, {\left(f k m + 2 \, f m \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{m} + 2 \, {\left(2 \, b e m \log\left(d\right) + {\left(f k m + 2 \, f m \log\left(d\right)\right)} b x^{m}\right)} \log\left(x^{n}\right)}{4 \, {\left(f g^{2 \, m + 1} m x x^{3 \, m} + e g^{2 \, m + 1} m x x^{2 \, m}\right)}}\,{d x}"," ",0,"-1/4*(2*b*m*log(x^n) + (2*m*log(c) + n)*b + 2*a*m)*g^(-2*m - 1)*log((f*x^m + e)^k)/(m^2*x^(2*m)) + integrate(1/4*(4*b*e*m*log(c)*log(d) + 4*a*e*m*log(d) + (2*(f*k*m + 2*f*m*log(d))*a + (f*k*n + 2*(f*k*m + 2*f*m*log(d))*log(c))*b)*x^m + 2*(2*b*e*m*log(d) + (f*k*m + 2*f*m*log(d))*b*x^m)*log(x^n))/(f*g^(2*m + 1)*m*x*x^(3*m) + e*g^(2*m + 1)*m*x*x^(2*m)), x)","F",0
155,0,0,0,0.000000," ","integrate((g*x)^(-1-3*m)*(a+b*log(c*x^n))*log(d*(e+f*x^m)^k),x, algorithm=""maxima"")","-\frac{{\left(3 \, b m \log\left(x^{n}\right) + {\left(3 \, m \log\left(c\right) + n\right)} b + 3 \, a m\right)} g^{-3 \, m - 1} \log\left({\left(f x^{m} + e\right)}^{k}\right)}{9 \, m^{2} x^{3 \, m}} + \int \frac{9 \, b e m \log\left(c\right) \log\left(d\right) + 9 \, a e m \log\left(d\right) + {\left(3 \, {\left(f k m + 3 \, f m \log\left(d\right)\right)} a + {\left(f k n + 3 \, {\left(f k m + 3 \, f m \log\left(d\right)\right)} \log\left(c\right)\right)} b\right)} x^{m} + 3 \, {\left(3 \, b e m \log\left(d\right) + {\left(f k m + 3 \, f m \log\left(d\right)\right)} b x^{m}\right)} \log\left(x^{n}\right)}{9 \, {\left(f g^{3 \, m + 1} m x x^{4 \, m} + e g^{3 \, m + 1} m x x^{3 \, m}\right)}}\,{d x}"," ",0,"-1/9*(3*b*m*log(x^n) + (3*m*log(c) + n)*b + 3*a*m)*g^(-3*m - 1)*log((f*x^m + e)^k)/(m^2*x^(3*m)) + integrate(1/9*(9*b*e*m*log(c)*log(d) + 9*a*e*m*log(d) + (3*(f*k*m + 3*f*m*log(d))*a + (f*k*n + 3*(f*k*m + 3*f*m*log(d))*log(c))*b)*x^m + 3*(3*b*e*m*log(d) + (f*k*m + 3*f*m*log(d))*b*x^m)*log(x^n))/(f*g^(3*m + 1)*m*x*x^(4*m) + e*g^(3*m + 1)*m*x*x^(3*m)), x)","F",0
156,1,104,0,0.589590," ","integrate(x^2*(a+b*log(c*x^n))*(d+e*log(f*x^r)),x, algorithm=""maxima"")","-\frac{1}{9} \, b d n x^{3} - \frac{1}{9} \, a e r x^{3} + \frac{1}{3} \, b d x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a e x^{3} \log\left(f x^{r}\right) + \frac{1}{3} \, a d x^{3} + \frac{1}{27} \, {\left({\left(2 \, r - 3 \, \log\left(f\right)\right)} x^{3} - 3 \, x^{3} \log\left(x^{r}\right)\right)} b e n - \frac{1}{9} \, {\left(r x^{3} - 3 \, x^{3} \log\left(f x^{r}\right)\right)} b e \log\left(c x^{n}\right)"," ",0,"-1/9*b*d*n*x^3 - 1/9*a*e*r*x^3 + 1/3*b*d*x^3*log(c*x^n) + 1/3*a*e*x^3*log(f*x^r) + 1/3*a*d*x^3 + 1/27*((2*r - 3*log(f))*x^3 - 3*x^3*log(x^r))*b*e*n - 1/9*(r*x^3 - 3*x^3*log(f*x^r))*b*e*log(c*x^n)","A",0
157,1,102,0,0.544767," ","integrate(x*(a+b*log(c*x^n))*(d+e*log(f*x^r)),x, algorithm=""maxima"")","-\frac{1}{4} \, b d n x^{2} - \frac{1}{4} \, a e r x^{2} + \frac{1}{2} \, b d x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a e x^{2} \log\left(f x^{r}\right) + \frac{1}{4} \, {\left({\left(r - \log\left(f\right)\right)} x^{2} - x^{2} \log\left(x^{r}\right)\right)} b e n + \frac{1}{2} \, a d x^{2} - \frac{1}{4} \, {\left(r x^{2} - 2 \, x^{2} \log\left(f x^{r}\right)\right)} b e \log\left(c x^{n}\right)"," ",0,"-1/4*b*d*n*x^2 - 1/4*a*e*r*x^2 + 1/2*b*d*x^2*log(c*x^n) + 1/2*a*e*x^2*log(f*x^r) + 1/4*((r - log(f))*x^2 - x^2*log(x^r))*b*e*n + 1/2*a*d*x^2 - 1/4*(r*x^2 - 2*x^2*log(f*x^r))*b*e*log(c*x^n)","A",0
158,1,82,0,0.635303," ","integrate((a+b*log(c*x^n))*(d+e*log(f*x^r)),x, algorithm=""maxima"")","{\left({\left(2 \, r - \log\left(f\right)\right)} x - x \log\left(x^{r}\right)\right)} b e n - b d n x - a e r x - {\left(r x - x \log\left(f x^{r}\right)\right)} b e \log\left(c x^{n}\right) + b d x \log\left(c x^{n}\right) + a e x \log\left(f x^{r}\right) + a d x"," ",0,"((2*r - log(f))*x - x*log(x^r))*b*e*n - b*d*n*x - a*e*r*x - (r*x - x*log(f*x^r))*b*e*log(c*x^n) + b*d*x*log(c*x^n) + a*e*x*log(f*x^r) + a*d*x","A",0
159,1,73,0,0.624983," ","integrate((a+b*log(c*x^n))*(d+e*log(f*x^r))/x,x, algorithm=""maxima"")","\frac{b e \log\left(c x^{n}\right) \log\left(f x^{r}\right)^{2}}{2 \, r} - \frac{b e n \log\left(f x^{r}\right)^{3}}{6 \, r^{2}} + \frac{b d \log\left(c x^{n}\right)^{2}}{2 \, n} + \frac{a e \log\left(f x^{r}\right)^{2}}{2 \, r} + a d \log\left(x\right)"," ",0,"1/2*b*e*log(c*x^n)*log(f*x^r)^2/r - 1/6*b*e*n*log(f*x^r)^3/r^2 + 1/2*b*d*log(c*x^n)^2/n + 1/2*a*e*log(f*x^r)^2/r + a*d*log(x)","A",0
160,1,94,0,0.750126," ","integrate((a+b*log(c*x^n))*(d+e*log(f*x^r))/x^2,x, algorithm=""maxima"")","-b e {\left(\frac{r}{x} + \frac{\log\left(f x^{r}\right)}{x}\right)} \log\left(c x^{n}\right) - \frac{b e n {\left(2 \, r + \log\left(f\right) + \log\left(x^{r}\right)\right)}}{x} - \frac{b d n}{x} - \frac{a e r}{x} - \frac{b d \log\left(c x^{n}\right)}{x} - \frac{a e \log\left(f x^{r}\right)}{x} - \frac{a d}{x}"," ",0,"-b*e*(r/x + log(f*x^r)/x)*log(c*x^n) - b*e*n*(2*r + log(f) + log(x^r))/x - b*d*n/x - a*e*r/x - b*d*log(c*x^n)/x - a*e*log(f*x^r)/x - a*d/x","A",0
161,1,93,0,0.754933," ","integrate((a+b*log(c*x^n))*(d+e*log(f*x^r))/x^3,x, algorithm=""maxima"")","-\frac{1}{4} \, b e {\left(\frac{r}{x^{2}} + \frac{2 \, \log\left(f x^{r}\right)}{x^{2}}\right)} \log\left(c x^{n}\right) - \frac{b e n {\left(r + \log\left(f\right) + \log\left(x^{r}\right)\right)}}{4 \, x^{2}} - \frac{b d n}{4 \, x^{2}} - \frac{a e r}{4 \, x^{2}} - \frac{b d \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{a e \log\left(f x^{r}\right)}{2 \, x^{2}} - \frac{a d}{2 \, x^{2}}"," ",0,"-1/4*b*e*(r/x^2 + 2*log(f*x^r)/x^2)*log(c*x^n) - 1/4*b*e*n*(r + log(f) + log(x^r))/x^2 - 1/4*b*d*n/x^2 - 1/4*a*e*r/x^2 - 1/2*b*d*log(c*x^n)/x^2 - 1/2*a*e*log(f*x^r)/x^2 - 1/2*a*d/x^2","A",0
162,1,99,0,0.658746," ","integrate((a+b*log(c*x^n))*(d+e*log(f*x^r))/x^4,x, algorithm=""maxima"")","-\frac{1}{9} \, b e {\left(\frac{r}{x^{3}} + \frac{3 \, \log\left(f x^{r}\right)}{x^{3}}\right)} \log\left(c x^{n}\right) - \frac{b e n {\left(2 \, r + 3 \, \log\left(f\right) + 3 \, \log\left(x^{r}\right)\right)}}{27 \, x^{3}} - \frac{b d n}{9 \, x^{3}} - \frac{a e r}{9 \, x^{3}} - \frac{b d \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{a e \log\left(f x^{r}\right)}{3 \, x^{3}} - \frac{a d}{3 \, x^{3}}"," ",0,"-1/9*b*e*(r/x^3 + 3*log(f*x^r)/x^3)*log(c*x^n) - 1/27*b*e*n*(2*r + 3*log(f) + 3*log(x^r))/x^3 - 1/9*b*d*n/x^3 - 1/9*a*e*r/x^3 - 1/3*b*d*log(c*x^n)/x^3 - 1/3*a*e*log(f*x^r)/x^3 - 1/3*a*d/x^3","A",0
163,1,250,0,0.834508," ","integrate(x^2*(a+b*log(c*x^n))^2*(d+e*log(f*x^r)),x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} d x^{3} \log\left(c x^{n}\right)^{2} - \frac{2}{9} \, a b d n x^{3} - \frac{1}{9} \, a^{2} e r x^{3} + \frac{2}{3} \, a b d x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a^{2} e x^{3} \log\left(f x^{r}\right) + \frac{1}{3} \, a^{2} d x^{3} - \frac{1}{9} \, {\left(r x^{3} - 3 \, x^{3} \log\left(f x^{r}\right)\right)} b^{2} e \log\left(c x^{n}\right)^{2} + \frac{2}{27} \, {\left({\left(2 \, r - 3 \, \log\left(f\right)\right)} x^{3} - 3 \, x^{3} \log\left(x^{r}\right)\right)} a b e n - \frac{2}{9} \, {\left(r x^{3} - 3 \, x^{3} \log\left(f x^{r}\right)\right)} a b e \log\left(c x^{n}\right) + \frac{2}{27} \, {\left(n^{2} x^{3} - 3 \, n x^{3} \log\left(c x^{n}\right)\right)} b^{2} d - \frac{2}{27} \, {\left({\left({\left(r - \log\left(f\right)\right)} x^{3} - x^{3} \log\left(x^{r}\right)\right)} n^{2} - {\left({\left(2 \, r - 3 \, \log\left(f\right)\right)} x^{3} - 3 \, x^{3} \log\left(x^{r}\right)\right)} n \log\left(c x^{n}\right)\right)} b^{2} e"," ",0,"1/3*b^2*d*x^3*log(c*x^n)^2 - 2/9*a*b*d*n*x^3 - 1/9*a^2*e*r*x^3 + 2/3*a*b*d*x^3*log(c*x^n) + 1/3*a^2*e*x^3*log(f*x^r) + 1/3*a^2*d*x^3 - 1/9*(r*x^3 - 3*x^3*log(f*x^r))*b^2*e*log(c*x^n)^2 + 2/27*((2*r - 3*log(f))*x^3 - 3*x^3*log(x^r))*a*b*e*n - 2/9*(r*x^3 - 3*x^3*log(f*x^r))*a*b*e*log(c*x^n) + 2/27*(n^2*x^3 - 3*n*x^3*log(c*x^n))*b^2*d - 2/27*(((r - log(f))*x^3 - x^3*log(x^r))*n^2 - ((2*r - 3*log(f))*x^3 - 3*x^3*log(x^r))*n*log(c*x^n))*b^2*e","A",0
164,1,247,0,0.611324," ","integrate(x*(a+b*log(c*x^n))^2*(d+e*log(f*x^r)),x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} d x^{2} \log\left(c x^{n}\right)^{2} - \frac{1}{2} \, a b d n x^{2} - \frac{1}{4} \, a^{2} e r x^{2} + a b d x^{2} \log\left(c x^{n}\right) - \frac{1}{4} \, {\left(r x^{2} - 2 \, x^{2} \log\left(f x^{r}\right)\right)} b^{2} e \log\left(c x^{n}\right)^{2} + \frac{1}{2} \, a^{2} e x^{2} \log\left(f x^{r}\right) + \frac{1}{2} \, {\left({\left(r - \log\left(f\right)\right)} x^{2} - x^{2} \log\left(x^{r}\right)\right)} a b e n + \frac{1}{2} \, a^{2} d x^{2} - \frac{1}{2} \, {\left(r x^{2} - 2 \, x^{2} \log\left(f x^{r}\right)\right)} a b e \log\left(c x^{n}\right) + \frac{1}{4} \, {\left(n^{2} x^{2} - 2 \, n x^{2} \log\left(c x^{n}\right)\right)} b^{2} d - \frac{1}{8} \, {\left({\left({\left(3 \, r - 2 \, \log\left(f\right)\right)} x^{2} - 2 \, x^{2} \log\left(x^{r}\right)\right)} n^{2} - 4 \, {\left({\left(r - \log\left(f\right)\right)} x^{2} - x^{2} \log\left(x^{r}\right)\right)} n \log\left(c x^{n}\right)\right)} b^{2} e"," ",0,"1/2*b^2*d*x^2*log(c*x^n)^2 - 1/2*a*b*d*n*x^2 - 1/4*a^2*e*r*x^2 + a*b*d*x^2*log(c*x^n) - 1/4*(r*x^2 - 2*x^2*log(f*x^r))*b^2*e*log(c*x^n)^2 + 1/2*a^2*e*x^2*log(f*x^r) + 1/2*((r - log(f))*x^2 - x^2*log(x^r))*a*b*e*n + 1/2*a^2*d*x^2 - 1/2*(r*x^2 - 2*x^2*log(f*x^r))*a*b*e*log(c*x^n) + 1/4*(n^2*x^2 - 2*n*x^2*log(c*x^n))*b^2*d - 1/8*(((3*r - 2*log(f))*x^2 - 2*x^2*log(x^r))*n^2 - 4*((r - log(f))*x^2 - x^2*log(x^r))*n*log(c*x^n))*b^2*e","A",0
165,1,213,0,0.766021," ","integrate((a+b*log(c*x^n))^2*(d+e*log(f*x^r)),x, algorithm=""maxima"")","-{\left(r x - x \log\left(f x^{r}\right)\right)} b^{2} e \log\left(c x^{n}\right)^{2} + b^{2} d x \log\left(c x^{n}\right)^{2} + 2 \, {\left({\left(2 \, r - \log\left(f\right)\right)} x - x \log\left(x^{r}\right)\right)} a b e n - 2 \, a b d n x - a^{2} e r x - 2 \, {\left(r x - x \log\left(f x^{r}\right)\right)} a b e \log\left(c x^{n}\right) + 2 \, a b d x \log\left(c x^{n}\right) + a^{2} e x \log\left(f x^{r}\right) + 2 \, {\left(n^{2} x - n x \log\left(c x^{n}\right)\right)} b^{2} d - 2 \, {\left({\left({\left(3 \, r - \log\left(f\right)\right)} x - x \log\left(x^{r}\right)\right)} n^{2} - {\left({\left(2 \, r - \log\left(f\right)\right)} x - x \log\left(x^{r}\right)\right)} n \log\left(c x^{n}\right)\right)} b^{2} e + a^{2} d x"," ",0,"-(r*x - x*log(f*x^r))*b^2*e*log(c*x^n)^2 + b^2*d*x*log(c*x^n)^2 + 2*((2*r - log(f))*x - x*log(x^r))*a*b*e*n - 2*a*b*d*n*x - a^2*e*r*x - 2*(r*x - x*log(f*x^r))*a*b*e*log(c*x^n) + 2*a*b*d*x*log(c*x^n) + a^2*e*x*log(f*x^r) + 2*(n^2*x - n*x*log(c*x^n))*b^2*d - 2*(((3*r - log(f))*x - x*log(x^r))*n^2 - ((2*r - log(f))*x - x*log(x^r))*n*log(c*x^n))*b^2*e + a^2*d*x","A",0
166,1,163,0,0.660629," ","integrate((a+b*log(c*x^n))^2*(d+e*log(f*x^r))/x,x, algorithm=""maxima"")","\frac{b^{2} e \log\left(c x^{n}\right)^{2} \log\left(f x^{r}\right)^{2}}{2 \, r} + \frac{b^{2} d \log\left(c x^{n}\right)^{3}}{3 \, n} + \frac{a b e \log\left(c x^{n}\right) \log\left(f x^{r}\right)^{2}}{r} - \frac{a b e n \log\left(f x^{r}\right)^{3}}{3 \, r^{2}} - \frac{1}{12} \, {\left(\frac{4 \, n \log\left(c x^{n}\right) \log\left(f x^{r}\right)^{3}}{r^{2}} - \frac{n^{2} \log\left(f x^{r}\right)^{4}}{r^{3}}\right)} b^{2} e + \frac{a b d \log\left(c x^{n}\right)^{2}}{n} + \frac{a^{2} e \log\left(f x^{r}\right)^{2}}{2 \, r} + a^{2} d \log\left(x\right)"," ",0,"1/2*b^2*e*log(c*x^n)^2*log(f*x^r)^2/r + 1/3*b^2*d*log(c*x^n)^3/n + a*b*e*log(c*x^n)*log(f*x^r)^2/r - 1/3*a*b*e*n*log(f*x^r)^3/r^2 - 1/12*(4*n*log(c*x^n)*log(f*x^r)^3/r^2 - n^2*log(f*x^r)^4/r^3)*b^2*e + a*b*d*log(c*x^n)^2/n + 1/2*a^2*e*log(f*x^r)^2/r + a^2*d*log(x)","B",0
167,1,221,0,0.975406," ","integrate((a+b*log(c*x^n))^2*(d+e*log(f*x^r))/x^2,x, algorithm=""maxima"")","-b^{2} e {\left(\frac{r}{x} + \frac{\log\left(f x^{r}\right)}{x}\right)} \log\left(c x^{n}\right)^{2} - 2 \, a b e {\left(\frac{r}{x} + \frac{\log\left(f x^{r}\right)}{x}\right)} \log\left(c x^{n}\right) - 2 \, {\left(\frac{{\left(r \log\left(x\right) + 3 \, r + \log\left(f\right)\right)} n^{2}}{x} + \frac{n {\left(2 \, r + \log\left(f\right) + \log\left(x^{r}\right)\right)} \log\left(c x^{n}\right)}{x}\right)} b^{2} e - 2 \, b^{2} d {\left(\frac{n^{2}}{x} + \frac{n \log\left(c x^{n}\right)}{x}\right)} - \frac{2 \, a b e n {\left(2 \, r + \log\left(f\right) + \log\left(x^{r}\right)\right)}}{x} - \frac{b^{2} d \log\left(c x^{n}\right)^{2}}{x} - \frac{2 \, a b d n}{x} - \frac{a^{2} e r}{x} - \frac{2 \, a b d \log\left(c x^{n}\right)}{x} - \frac{a^{2} e \log\left(f x^{r}\right)}{x} - \frac{a^{2} d}{x}"," ",0,"-b^2*e*(r/x + log(f*x^r)/x)*log(c*x^n)^2 - 2*a*b*e*(r/x + log(f*x^r)/x)*log(c*x^n) - 2*((r*log(x) + 3*r + log(f))*n^2/x + n*(2*r + log(f) + log(x^r))*log(c*x^n)/x)*b^2*e - 2*b^2*d*(n^2/x + n*log(c*x^n)/x) - 2*a*b*e*n*(2*r + log(f) + log(x^r))/x - b^2*d*log(c*x^n)^2/x - 2*a*b*d*n/x - a^2*e*r/x - 2*a*b*d*log(c*x^n)/x - a^2*e*log(f*x^r)/x - a^2*d/x","A",0
168,1,224,0,0.677739," ","integrate((a+b*log(c*x^n))^2*(d+e*log(f*x^r))/x^3,x, algorithm=""maxima"")","-\frac{1}{4} \, b^{2} e {\left(\frac{r}{x^{2}} + \frac{2 \, \log\left(f x^{r}\right)}{x^{2}}\right)} \log\left(c x^{n}\right)^{2} - \frac{1}{2} \, a b e {\left(\frac{r}{x^{2}} + \frac{2 \, \log\left(f x^{r}\right)}{x^{2}}\right)} \log\left(c x^{n}\right) - \frac{1}{8} \, b^{2} e {\left(\frac{{\left(2 \, r \log\left(x\right) + 3 \, r + 2 \, \log\left(f\right)\right)} n^{2}}{x^{2}} + \frac{4 \, n {\left(r + \log\left(f\right) + \log\left(x^{r}\right)\right)} \log\left(c x^{n}\right)}{x^{2}}\right)} - \frac{1}{4} \, b^{2} d {\left(\frac{n^{2}}{x^{2}} + \frac{2 \, n \log\left(c x^{n}\right)}{x^{2}}\right)} - \frac{a b e n {\left(r + \log\left(f\right) + \log\left(x^{r}\right)\right)}}{2 \, x^{2}} - \frac{b^{2} d \log\left(c x^{n}\right)^{2}}{2 \, x^{2}} - \frac{a b d n}{2 \, x^{2}} - \frac{a^{2} e r}{4 \, x^{2}} - \frac{a b d \log\left(c x^{n}\right)}{x^{2}} - \frac{a^{2} e \log\left(f x^{r}\right)}{2 \, x^{2}} - \frac{a^{2} d}{2 \, x^{2}}"," ",0,"-1/4*b^2*e*(r/x^2 + 2*log(f*x^r)/x^2)*log(c*x^n)^2 - 1/2*a*b*e*(r/x^2 + 2*log(f*x^r)/x^2)*log(c*x^n) - 1/8*b^2*e*((2*r*log(x) + 3*r + 2*log(f))*n^2/x^2 + 4*n*(r + log(f) + log(x^r))*log(c*x^n)/x^2) - 1/4*b^2*d*(n^2/x^2 + 2*n*log(c*x^n)/x^2) - 1/2*a*b*e*n*(r + log(f) + log(x^r))/x^2 - 1/2*b^2*d*log(c*x^n)^2/x^2 - 1/2*a*b*d*n/x^2 - 1/4*a^2*e*r/x^2 - a*b*d*log(c*x^n)/x^2 - 1/2*a^2*e*log(f*x^r)/x^2 - 1/2*a^2*d/x^2","A",0
169,1,230,0,0.940189," ","integrate((a+b*log(c*x^n))^2*(d+e*log(f*x^r))/x^4,x, algorithm=""maxima"")","-\frac{1}{9} \, b^{2} e {\left(\frac{r}{x^{3}} + \frac{3 \, \log\left(f x^{r}\right)}{x^{3}}\right)} \log\left(c x^{n}\right)^{2} - \frac{2}{9} \, a b e {\left(\frac{r}{x^{3}} + \frac{3 \, \log\left(f x^{r}\right)}{x^{3}}\right)} \log\left(c x^{n}\right) - \frac{2}{27} \, b^{2} e {\left(\frac{{\left(r \log\left(x\right) + r + \log\left(f\right)\right)} n^{2}}{x^{3}} + \frac{n {\left(2 \, r + 3 \, \log\left(f\right) + 3 \, \log\left(x^{r}\right)\right)} \log\left(c x^{n}\right)}{x^{3}}\right)} - \frac{2}{27} \, b^{2} d {\left(\frac{n^{2}}{x^{3}} + \frac{3 \, n \log\left(c x^{n}\right)}{x^{3}}\right)} - \frac{2 \, a b e n {\left(2 \, r + 3 \, \log\left(f\right) + 3 \, \log\left(x^{r}\right)\right)}}{27 \, x^{3}} - \frac{b^{2} d \log\left(c x^{n}\right)^{2}}{3 \, x^{3}} - \frac{2 \, a b d n}{9 \, x^{3}} - \frac{a^{2} e r}{9 \, x^{3}} - \frac{2 \, a b d \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{a^{2} e \log\left(f x^{r}\right)}{3 \, x^{3}} - \frac{a^{2} d}{3 \, x^{3}}"," ",0,"-1/9*b^2*e*(r/x^3 + 3*log(f*x^r)/x^3)*log(c*x^n)^2 - 2/9*a*b*e*(r/x^3 + 3*log(f*x^r)/x^3)*log(c*x^n) - 2/27*b^2*e*((r*log(x) + r + log(f))*n^2/x^3 + n*(2*r + 3*log(f) + 3*log(x^r))*log(c*x^n)/x^3) - 2/27*b^2*d*(n^2/x^3 + 3*n*log(c*x^n)/x^3) - 2/27*a*b*e*n*(2*r + 3*log(f) + 3*log(x^r))/x^3 - 1/3*b^2*d*log(c*x^n)^2/x^3 - 2/9*a*b*d*n/x^3 - 1/9*a^2*e*r/x^3 - 2/3*a*b*d*log(c*x^n)/x^3 - 1/3*a^2*e*log(f*x^r)/x^3 - 1/3*a^2*d/x^3","A",0
170,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(d+e*log(f*x^m)),x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{e \log\left(f x^{m}\right) + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*log(f*x^m) + d), x)","F",0
171,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(d+e*log(f*x^m)),x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x}{e \log\left(f x^{m}\right) + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x/(e*log(f*x^m) + d), x)","F",0
172,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e*log(f*x^m)),x, algorithm=""maxima"")","\int \frac{b \log\left(c x^{n}\right) + a}{e \log\left(f x^{m}\right) + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(e*log(f*x^m) + d), x)","F",0
173,1,118,0,0.674148," ","integrate((a+b*log(c*x^n))/x/(d+e*log(f*x^m)),x, algorithm=""maxima"")","\frac{b \log\left(c x^{n}\right) \log\left(\frac{e \log\left(f\right) + e \log\left(x^{m}\right) + d}{e}\right)}{e m} - \frac{b n {\left(\frac{{\left(e \log\left(f\right) + e \log\left(x^{m}\right) + d\right)} \log\left(\frac{e \log\left(f\right) + e \log\left(x^{m}\right) + d}{e}\right)}{e} - \frac{e \log\left(f\right) + e \log\left(x^{m}\right) + d}{e}\right)}}{e m^{2}} + \frac{a \log\left(\frac{e \log\left(f\right) + e \log\left(x^{m}\right) + d}{e}\right)}{e m}"," ",0,"b*log(c*x^n)*log((e*log(f) + e*log(x^m) + d)/e)/(e*m) - b*n*((e*log(f) + e*log(x^m) + d)*log((e*log(f) + e*log(x^m) + d)/e)/e - (e*log(f) + e*log(x^m) + d)/e)/(e*m^2) + a*log((e*log(f) + e*log(x^m) + d)/e)/(e*m)","A",0
174,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(d+e*log(f*x^m)),x, algorithm=""maxima"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e \log\left(f x^{m}\right) + d\right)} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*log(f*x^m) + d)*x^2), x)","F",0
175,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(d+e*log(f*x^m)),x, algorithm=""maxima"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e \log\left(f x^{m}\right) + d\right)} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*log(f*x^m) + d)*x^3), x)","F",0
176,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e*log(c*x^n))^2,x, algorithm=""maxima"")","{\left({\left(e n - d\right)} b + a e\right)} \int \frac{1}{e^{3} n \log\left(c\right) + e^{3} n \log\left(x^{n}\right) + d e^{2} n}\,{d x} + \frac{{\left(b d - a e\right)} x}{e^{3} n \log\left(c\right) + e^{3} n \log\left(x^{n}\right) + d e^{2} n}"," ",0,"((e*n - d)*b + a*e)*integrate(1/(e^3*n*log(c) + e^3*n*log(x^n) + d*e^2*n), x) + (b*d - a*e)*x/(e^3*n*log(c) + e^3*n*log(x^n) + d*e^2*n)","F",0
177,1,32,0,0.618659," ","integrate((a+b*log(c*x^n))/x/log(x),x, algorithm=""maxima"")","-{\left(\log\left(x\right) \log\left(\log\left(x\right)\right) - \log\left(x\right)\right)} b n + b \log\left(c x^{n}\right) \log\left(\log\left(x\right)\right) + a \log\left(\log\left(x\right)\right)"," ",0,"-(log(x)*log(log(x)) - log(x))*b*n + b*log(c*x^n)*log(log(x)) + a*log(log(x))","A",0
178,-2,0,0,0.000000," ","integrate((g*x)^m*(a+b*log(c*x^n))^p*(d+e*log(f*x^r)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
179,-2,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^p*(d+e*log(f*x^r)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
180,-2,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^p*(d+e*log(f*x^r)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
181,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))^p*(d+e*log(f*x^r)),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
182,1,95,0,0.657665," ","integrate((a+b*log(c*x^n))^p*(d+e*log(f*x^r))/x,x, algorithm=""maxima"")","\frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{p + 1} e \log\left(f x^{r}\right)}{b n {\left(p + 1\right)}} + \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{p + 1} d}{b n {\left(p + 1\right)}} - \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{p + 2} e r}{b^{2} n^{2} {\left(p + 2\right)} {\left(p + 1\right)}}"," ",0,"(b*log(c*x^n) + a)^(p + 1)*e*log(f*x^r)/(b*n*(p + 1)) + (b*log(c*x^n) + a)^(p + 1)*d/(b*n*(p + 1)) - (b*log(c*x^n) + a)^(p + 2)*e*r/(b^2*n^2*(p + 2)*(p + 1))","A",0
183,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))^p*(d+e*log(f*x^r))/x^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
184,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))^p*(d+e*log(f*x^r))/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
185,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))^p*(d+e*log(f*x^r))/x^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
186,0,0,0,0.000000," ","integrate((e*x^2+d)*arcsin(a*x)*log(c*x^n),x, algorithm=""maxima"")","-\frac{i \, {\left(27 \, {\left({\left(\frac{2 \, x}{a^{2}} - \frac{\log\left(a x + 1\right)}{a^{3}} + \frac{\log\left(a x - 1\right)}{a^{3}}\right)} \log\left(x\right) - \frac{2 \, x}{a^{2}} - \frac{\log\left(a x - 1\right) \log\left(a x\right) + {\rm Li}_2\left(-a x + 1\right)}{a^{3}} + \frac{\log\left(a x + 1\right) \log\left(-a x\right) + {\rm Li}_2\left(a x + 1\right)}{a^{3}}\right)} a^{2} d n + {\left(3 \, {\left(\frac{2 \, {\left(a^{2} x^{3} + 3 \, x\right)}}{a^{4}} - \frac{3 \, \log\left(a x + 1\right)}{a^{5}} + \frac{3 \, \log\left(a x - 1\right)}{a^{5}}\right)} \log\left(x\right) - \frac{2 \, {\left(a^{2} x^{3} + 9 \, x\right)}}{a^{4}} - \frac{9 \, {\left(\log\left(a x - 1\right) \log\left(a x\right) + {\rm Li}_2\left(-a x + 1\right)\right)}}{a^{5}} + \frac{9 \, {\left(\log\left(a x + 1\right) \log\left(-a x\right) + {\rm Li}_2\left(a x + 1\right)\right)}}{a^{5}}\right)} a^{2} e n - 27 \, a^{2} d n {\left(\frac{2 \, x}{a^{2}} - \frac{\log\left(a x + 1\right)}{a^{3}} + \frac{\log\left(a x - 1\right)}{a^{3}}\right)} - a^{2} e n {\left(\frac{2 \, {\left(a^{2} x^{3} + 3 \, x\right)}}{a^{4}} - \frac{3 \, \log\left(a x + 1\right)}{a^{5}} + \frac{3 \, \log\left(a x - 1\right)}{a^{5}}\right)} + 27 \, a^{2} d {\left(\frac{2 \, x}{a^{2}} - \frac{\log\left(a x + 1\right)}{a^{3}} + \frac{\log\left(a x - 1\right)}{a^{3}}\right)} \log\left(c\right) + 3 \, a^{2} e {\left(\frac{2 \, {\left(a^{2} x^{3} + 3 \, x\right)}}{a^{4}} - \frac{3 \, \log\left(a x + 1\right)}{a^{5}} + \frac{3 \, \log\left(a x - 1\right)}{a^{5}}\right)} \log\left(c\right)\right)} a^{3} + 2 \, {\left(\frac{27 \, \sqrt{a x + 1} \sqrt{-a x + 1} d n}{a} + \frac{27 \, d n {\left(\sqrt{-a^{2} x^{2} + 1} - \log\left(\frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)\right)}}{a} - \frac{27 \, \sqrt{a x + 1} \sqrt{-a x + 1} d \log\left(c\right)}{a} - \frac{27 \, \sqrt{a x + 1} \sqrt{-a x + 1} d \log\left(x^{n}\right)}{a} + \frac{{\left(a^{2} x^{2} + 2\right)} \sqrt{a x + 1} \sqrt{-a x + 1} e n}{a^{3}} - \frac{3 \, {\left(a^{2} x^{2} + 2\right)} \sqrt{a x + 1} \sqrt{-a x + 1} e \log\left(c\right)}{a^{3}} - \frac{3 \, {\left(a^{2} x^{2} + 2\right)} \sqrt{a x + 1} \sqrt{-a x + 1} e \log\left(x^{n}\right)}{a^{3}} - \frac{{\left({\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 6 \, \sqrt{-a^{2} x^{2} + 1} + 6 \, \log\left(\frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)\right)} e n}{a^{3}}\right)} a^{3} + {\left(4 i \, a^{3} e n - 6 i \, a^{3} e \log\left(c\right)\right)} x^{3} + {\left(-27 i \, a^{2} d - 9 i \, e\right)} n {\rm Li}_2\left(a x\right) + {\left(27 i \, a^{2} d + 9 i \, e\right)} n {\rm Li}_2\left(-a x\right) + {\left(-54 i \, a^{3} d \log\left(c\right) - 18 i \, a e \log\left(c\right) + {\left(108 i \, a^{3} d + 24 i \, a e\right)} n\right)} x + 6 \, {\left({\left(a^{3} e n - 3 \, a^{3} e \log\left(c\right)\right)} x^{3} + 9 \, {\left(a^{3} d n - a^{3} d \log\left(c\right)\right)} x\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right) + {\left(27 i \, a^{2} d \log\left(c\right) + {\left(-27 i \, a^{2} d - 3 i \, e\right)} n + 9 i \, e \log\left(c\right)\right)} \log\left(a x + 1\right) + {\left(-27 i \, a^{2} d \log\left(c\right) + {\left(27 i \, a^{2} d + 3 i \, e\right)} n - 9 i \, e \log\left(c\right)\right)} \log\left(a x - 1\right) + {\left(-6 i \, a^{3} e x^{3} + {\left(-54 i \, a^{3} d - 18 i \, a e\right)} x - 18 \, {\left(a^{3} e x^{3} + 3 \, a^{3} d x\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right) + {\left(27 i \, a^{2} d + 9 i \, e\right)} \log\left(a x + 1\right) + {\left(-27 i \, a^{2} d - 9 i \, e\right)} \log\left(-a x + 1\right)\right)} \log\left(x^{n}\right)}{54 \, a^{3}}"," ",0,"-1/54*(-I*(27*a^2*d*n*(2*x/a^2 - log(a*x + 1)/a^3 + log(a*x - 1)/a^3) + a^2*e*n*(2*(a^2*x^3 + 3*x)/a^4 - 3*log(a*x + 1)/a^5 + 3*log(a*x - 1)/a^5) - 162*a^2*e*n*integrate(1/9*x^4*log(x)/(a^2*x^2 - 1), x) - 486*a^2*d*n*integrate(1/9*x^2*log(x)/(a^2*x^2 - 1), x) - 27*a^2*d*(2*x/a^2 - log(a*x + 1)/a^3 + log(a*x - 1)/a^3)*log(c) - 3*a^2*e*(2*(a^2*x^3 + 3*x)/a^4 - 3*log(a*x + 1)/a^5 + 3*log(a*x - 1)/a^5)*log(c))*a^3 + (4*I*a^3*e*n - 6*I*a^3*e*log(c))*x^3 - 54*a^3*integrate(-1/9*((a*e*n - 3*a*e*log(c))*x^3 + 9*(a*d*n - a*d*log(c))*x - 3*(a*e*x^3 + 3*a*d*x)*log(x^n))*sqrt(a*x + 1)*sqrt(-a*x + 1)/(a^2*x^2 - 1), x) + (-27*I*a^2*d - 9*I*e)*n*dilog(a*x) + (27*I*a^2*d + 9*I*e)*n*dilog(-a*x) + (-54*I*a^3*d*log(c) - 18*I*a*e*log(c) + (108*I*a^3*d + 24*I*a*e)*n)*x + 6*((a^3*e*n - 3*a^3*e*log(c))*x^3 + 9*(a^3*d*n - a^3*d*log(c))*x)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)) + (27*I*a^2*d*log(c) + (-27*I*a^2*d - 3*I*e)*n + 9*I*e*log(c))*log(a*x + 1) + (-27*I*a^2*d*log(c) + (27*I*a^2*d + 3*I*e)*n - 9*I*e*log(c))*log(a*x - 1) + (-6*I*a^3*e*x^3 + (-54*I*a^3*d - 18*I*a*e)*x - 18*(a^3*e*x^3 + 3*a^3*d*x)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)) + (27*I*a^2*d + 9*I*e)*log(a*x + 1) + (-27*I*a^2*d - 9*I*e)*log(-a*x + 1))*log(x^n))/a^3","F",0
187,0,0,0,0.000000," ","integrate((e*x^2+d)*arccos(a*x)*log(c*x^n),x, algorithm=""maxima"")","-\frac{i \, {\left(27 \, {\left({\left(\frac{2 \, x}{a^{2}} - \frac{\log\left(a x + 1\right)}{a^{3}} + \frac{\log\left(a x - 1\right)}{a^{3}}\right)} \log\left(x\right) - \frac{2 \, x}{a^{2}} - \frac{\log\left(a x - 1\right) \log\left(a x\right) + {\rm Li}_2\left(-a x + 1\right)}{a^{3}} + \frac{\log\left(a x + 1\right) \log\left(-a x\right) + {\rm Li}_2\left(a x + 1\right)}{a^{3}}\right)} a^{2} d n + {\left(3 \, {\left(\frac{2 \, {\left(a^{2} x^{3} + 3 \, x\right)}}{a^{4}} - \frac{3 \, \log\left(a x + 1\right)}{a^{5}} + \frac{3 \, \log\left(a x - 1\right)}{a^{5}}\right)} \log\left(x\right) - \frac{2 \, {\left(a^{2} x^{3} + 9 \, x\right)}}{a^{4}} - \frac{9 \, {\left(\log\left(a x - 1\right) \log\left(a x\right) + {\rm Li}_2\left(-a x + 1\right)\right)}}{a^{5}} + \frac{9 \, {\left(\log\left(a x + 1\right) \log\left(-a x\right) + {\rm Li}_2\left(a x + 1\right)\right)}}{a^{5}}\right)} a^{2} e n - 27 \, a^{2} d n {\left(\frac{2 \, x}{a^{2}} - \frac{\log\left(a x + 1\right)}{a^{3}} + \frac{\log\left(a x - 1\right)}{a^{3}}\right)} - a^{2} e n {\left(\frac{2 \, {\left(a^{2} x^{3} + 3 \, x\right)}}{a^{4}} - \frac{3 \, \log\left(a x + 1\right)}{a^{5}} + \frac{3 \, \log\left(a x - 1\right)}{a^{5}}\right)} + 27 \, a^{2} d {\left(\frac{2 \, x}{a^{2}} - \frac{\log\left(a x + 1\right)}{a^{3}} + \frac{\log\left(a x - 1\right)}{a^{3}}\right)} \log\left(c\right) + 3 \, a^{2} e {\left(\frac{2 \, {\left(a^{2} x^{3} + 3 \, x\right)}}{a^{4}} - \frac{3 \, \log\left(a x + 1\right)}{a^{5}} + \frac{3 \, \log\left(a x - 1\right)}{a^{5}}\right)} \log\left(c\right)\right)} a^{3} - 2 \, {\left(\frac{27 \, \sqrt{a x + 1} \sqrt{-a x + 1} d n}{a} + \frac{27 \, d n {\left(\sqrt{-a^{2} x^{2} + 1} - \log\left(\frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)\right)}}{a} - \frac{27 \, \sqrt{a x + 1} \sqrt{-a x + 1} d \log\left(c\right)}{a} - \frac{27 \, \sqrt{a x + 1} \sqrt{-a x + 1} d \log\left(x^{n}\right)}{a} + \frac{{\left(a^{2} x^{2} + 2\right)} \sqrt{a x + 1} \sqrt{-a x + 1} e n}{a^{3}} - \frac{3 \, {\left(a^{2} x^{2} + 2\right)} \sqrt{a x + 1} \sqrt{-a x + 1} e \log\left(c\right)}{a^{3}} - \frac{3 \, {\left(a^{2} x^{2} + 2\right)} \sqrt{a x + 1} \sqrt{-a x + 1} e \log\left(x^{n}\right)}{a^{3}} - \frac{{\left({\left(-a^{2} x^{2} + 1\right)}^{\frac{3}{2}} - 6 \, \sqrt{-a^{2} x^{2} + 1} + 6 \, \log\left(\frac{2 \, \sqrt{-a^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)\right)} e n}{a^{3}}\right)} a^{3} + {\left(4 i \, a^{3} e n - 6 i \, a^{3} e \log\left(c\right)\right)} x^{3} + {\left(-27 i \, a^{2} d - 9 i \, e\right)} n {\rm Li}_2\left(a x\right) + {\left(27 i \, a^{2} d + 9 i \, e\right)} n {\rm Li}_2\left(-a x\right) + {\left(-54 i \, a^{3} d \log\left(c\right) - 18 i \, a e \log\left(c\right) + {\left(108 i \, a^{3} d + 24 i \, a e\right)} n\right)} x + 6 \, {\left({\left(a^{3} e n - 3 \, a^{3} e \log\left(c\right)\right)} x^{3} + 9 \, {\left(a^{3} d n - a^{3} d \log\left(c\right)\right)} x\right)} \arctan\left(\sqrt{a x + 1} \sqrt{-a x + 1}, a x\right) + {\left(27 i \, a^{2} d \log\left(c\right) + {\left(-27 i \, a^{2} d - 3 i \, e\right)} n + 9 i \, e \log\left(c\right)\right)} \log\left(a x + 1\right) + {\left(-27 i \, a^{2} d \log\left(c\right) + {\left(27 i \, a^{2} d + 3 i \, e\right)} n - 9 i \, e \log\left(c\right)\right)} \log\left(a x - 1\right) + {\left(-6 i \, a^{3} e x^{3} + {\left(-54 i \, a^{3} d - 18 i \, a e\right)} x - 18 \, {\left(a^{3} e x^{3} + 3 \, a^{3} d x\right)} \arctan\left(\sqrt{a x + 1} \sqrt{-a x + 1}, a x\right) + {\left(27 i \, a^{2} d + 9 i \, e\right)} \log\left(a x + 1\right) + {\left(-27 i \, a^{2} d - 9 i \, e\right)} \log\left(-a x + 1\right)\right)} \log\left(x^{n}\right)}{54 \, a^{3}}"," ",0,"-1/54*(-I*(27*a^2*d*n*(2*x/a^2 - log(a*x + 1)/a^3 + log(a*x - 1)/a^3) + a^2*e*n*(2*(a^2*x^3 + 3*x)/a^4 - 3*log(a*x + 1)/a^5 + 3*log(a*x - 1)/a^5) - 162*a^2*e*n*integrate(1/9*x^4*log(x)/(a^2*x^2 - 1), x) - 486*a^2*d*n*integrate(1/9*x^2*log(x)/(a^2*x^2 - 1), x) - 27*a^2*d*(2*x/a^2 - log(a*x + 1)/a^3 + log(a*x - 1)/a^3)*log(c) - 3*a^2*e*(2*(a^2*x^3 + 3*x)/a^4 - 3*log(a*x + 1)/a^5 + 3*log(a*x - 1)/a^5)*log(c))*a^3 + (4*I*a^3*e*n - 6*I*a^3*e*log(c))*x^3 + 54*a^3*integrate(-1/9*((a*e*n - 3*a*e*log(c))*x^3 + 9*(a*d*n - a*d*log(c))*x - 3*(a*e*x^3 + 3*a*d*x)*log(x^n))*sqrt(a*x + 1)*sqrt(-a*x + 1)/(a^2*x^2 - 1), x) + (-27*I*a^2*d - 9*I*e)*n*dilog(a*x) + (27*I*a^2*d + 9*I*e)*n*dilog(-a*x) + (-54*I*a^3*d*log(c) - 18*I*a*e*log(c) + (108*I*a^3*d + 24*I*a*e)*n)*x + 6*((a^3*e*n - 3*a^3*e*log(c))*x^3 + 9*(a^3*d*n - a^3*d*log(c))*x)*arctan2(sqrt(a*x + 1)*sqrt(-a*x + 1), a*x) + (27*I*a^2*d*log(c) + (-27*I*a^2*d - 3*I*e)*n + 9*I*e*log(c))*log(a*x + 1) + (-27*I*a^2*d*log(c) + (27*I*a^2*d + 3*I*e)*n - 9*I*e*log(c))*log(a*x - 1) + (-6*I*a^3*e*x^3 + (-54*I*a^3*d - 18*I*a*e)*x - 18*(a^3*e*x^3 + 3*a^3*d*x)*arctan2(sqrt(a*x + 1)*sqrt(-a*x + 1), a*x) + (27*I*a^2*d + 9*I*e)*log(a*x + 1) + (-27*I*a^2*d - 9*I*e)*log(-a*x + 1))*log(x^n))/a^3","F",0
188,0,0,0,0.000000," ","integrate((e*x^2+d)*arctan(a*x)*log(c*x^n),x, algorithm=""maxima"")","-\frac{a^{2} e x^{2} \log\left(c\right) - 6 \, a^{3} \int {\left(e x^{2} + d\right)} \arctan\left(a x\right) \log\left(x^{n}\right)\,{d x} - 2 \, {\left(a^{3} e x^{3} \log\left(c\right) + 3 \, a^{3} d x \log\left(c\right)\right)} \arctan\left(a x\right) + {\left(3 \, a^{2} d \log\left(c\right) - e \log\left(c\right)\right)} \log\left(a^{2} x^{2} + 1\right)}{6 \, a^{3}}"," ",0,"-1/6*(a^2*e*x^2*log(c) - 3*a^3*integrate(2*(e*x^2 + d)*arctan(a*x)*log(x^n), x) - 2*(a^3*e*x^3*log(c) + 3*a^3*d*x*log(c))*arctan(a*x) + (3*a^2*d*log(c) - e*log(c))*log(a^2*x^2 + 1))/a^3","F",0
189,-1,0,0,0.000000," ","integrate((e*x^2+d)*arccot(a*x)*log(c*x^n),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
190,0,0,0,0.000000," ","integrate((e*x^2+d)*arcsinh(a*x)*log(c*x^n),x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} d n {\left(\frac{2 \, x}{a^{2}} + \frac{i \, {\left(\log\left(i \, a x + 1\right) - \log\left(-i \, a x + 1\right)\right)}}{a^{3}}\right)} + \frac{1}{54} \, a^{2} e n {\left(\frac{2 \, {\left(a^{2} x^{3} - 3 \, x\right)}}{a^{4}} - \frac{3 i \, {\left(\log\left(i \, a x + 1\right) - \log\left(-i \, a x + 1\right)\right)}}{a^{5}}\right)} - 3 \, a^{2} e n \int \frac{x^{4} \log\left(x\right)}{9 \, {\left(a^{2} x^{2} + 1\right)}}\,{d x} - 9 \, a^{2} d n \int \frac{x^{2} \log\left(x\right)}{9 \, {\left(a^{2} x^{2} + 1\right)}}\,{d x} - \frac{1}{2} \, a^{2} d {\left(\frac{2 \, x}{a^{2}} + \frac{i \, {\left(\log\left(i \, a x + 1\right) - \log\left(-i \, a x + 1\right)\right)}}{a^{3}}\right)} \log\left(c\right) - \frac{1}{18} \, a^{2} e {\left(\frac{2 \, {\left(a^{2} x^{3} - 3 \, x\right)}}{a^{4}} - \frac{3 i \, {\left(\log\left(i \, a x + 1\right) - \log\left(-i \, a x + 1\right)\right)}}{a^{5}}\right)} \log\left(c\right) - \frac{1}{9} \, {\left({\left(e n - 3 \, e \log\left(c\right)\right)} x^{3} + 9 \, {\left(d n - d \log\left(c\right)\right)} x - 3 \, {\left(e x^{3} + 3 \, d x\right)} \log\left(x^{n}\right)\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right) - \int -\frac{{\left(e n - 3 \, e \log\left(c\right)\right)} a x^{3} + 9 \, {\left(d n - d \log\left(c\right)\right)} a x - 3 \, {\left(a e x^{3} + 3 \, a d x\right)} \log\left(x^{n}\right)}{9 \, {\left(a^{3} x^{3} + a x + {\left(a^{2} x^{2} + 1\right)}^{\frac{3}{2}}\right)}}\,{d x}"," ",0,"1/2*a^2*d*n*(2*x/a^2 + I*(log(I*a*x + 1) - log(-I*a*x + 1))/a^3) + 1/54*a^2*e*n*(2*(a^2*x^3 - 3*x)/a^4 - 3*I*(log(I*a*x + 1) - log(-I*a*x + 1))/a^5) - 3*a^2*e*n*integrate(1/9*x^4*log(x)/(a^2*x^2 + 1), x) - 9*a^2*d*n*integrate(1/9*x^2*log(x)/(a^2*x^2 + 1), x) - 1/2*a^2*d*(2*x/a^2 + I*(log(I*a*x + 1) - log(-I*a*x + 1))/a^3)*log(c) - 1/18*a^2*e*(2*(a^2*x^3 - 3*x)/a^4 - 3*I*(log(I*a*x + 1) - log(-I*a*x + 1))/a^5)*log(c) - 1/9*((e*n - 3*e*log(c))*x^3 + 9*(d*n - d*log(c))*x - 3*(e*x^3 + 3*d*x)*log(x^n))*log(a*x + sqrt(a^2*x^2 + 1)) - integrate(-1/9*((e*n - 3*e*log(c))*a*x^3 + 9*(d*n - d*log(c))*a*x - 3*(a*e*x^3 + 3*a*d*x)*log(x^n))/(a^3*x^3 + a*x + (a^2*x^2 + 1)^(3/2)), x)","F",0
191,0,0,0,0.000000," ","integrate((e*x^2+d)*arccosh(a*x)*log(c*x^n),x, algorithm=""maxima"")","\frac{{\left(3 \, a^{2} d n + e n\right)} {\left(\log\left(a x + 1\right) \log\left(x\right) + {\rm Li}_2\left(-a x\right)\right)}}{6 \, a^{3}} - \frac{{\left(3 \, a^{2} d n + e n\right)} {\left(\log\left(-a x + 1\right) \log\left(x\right) + {\rm Li}_2\left(a x\right)\right)}}{6 \, a^{3}} - \frac{{\left(9 \, {\left(d n - d \log\left(c\right)\right)} a^{2} + e n - 3 \, e \log\left(c\right)\right)} \log\left(a x + 1\right)}{18 \, a^{3}} + \frac{{\left(9 \, {\left(d n - d \log\left(c\right)\right)} a^{2} + e n - 3 \, e \log\left(c\right)\right)} \log\left(a x - 1\right)}{18 \, a^{3}} + \frac{2 \, {\left(2 \, e n - 3 \, e \log\left(c\right)\right)} a^{3} x^{3} - 9 \, {\left(3 \, a^{2} d n + e n\right)} \log\left(a x + 1\right) \log\left(x\right) + 9 \, {\left(3 \, a^{2} d n + e n\right)} \log\left(a x - 1\right) \log\left(x\right) + 6 \, {\left(9 \, {\left(2 \, d n - d \log\left(c\right)\right)} a^{3} + {\left(4 \, e n - 3 \, e \log\left(c\right)\right)} a\right)} x - 6 \, {\left({\left(e n - 3 \, e \log\left(c\right)\right)} a^{3} x^{3} + 9 \, {\left(d n - d \log\left(c\right)\right)} a^{3} x - 3 \, {\left(a^{3} e x^{3} + 3 \, a^{3} d x\right)} \log\left(x^{n}\right)\right)} \log\left(a x + \sqrt{a x + 1} \sqrt{a x - 1}\right) - 3 \, {\left(2 \, a^{3} e x^{3} + 6 \, {\left(3 \, a^{3} d + a e\right)} x - 3 \, {\left(3 \, a^{2} d + e\right)} \log\left(a x + 1\right) + 3 \, {\left(3 \, a^{2} d + e\right)} \log\left(a x - 1\right)\right)} \log\left(x^{n}\right)}{54 \, a^{3}} + \int -\frac{{\left(e n - 3 \, e \log\left(c\right)\right)} a x^{3} + 9 \, {\left(d n - d \log\left(c\right)\right)} a x - 3 \, {\left(a e x^{3} + 3 \, a d x\right)} \log\left(x^{n}\right)}{9 \, {\left(a^{3} x^{3} + {\left(a^{2} x^{2} - 1\right)} \sqrt{a x + 1} \sqrt{a x - 1} - a x\right)}}\,{d x}"," ",0,"1/6*(3*a^2*d*n + e*n)*(log(a*x + 1)*log(x) + dilog(-a*x))/a^3 - 1/6*(3*a^2*d*n + e*n)*(log(-a*x + 1)*log(x) + dilog(a*x))/a^3 - 1/18*(9*(d*n - d*log(c))*a^2 + e*n - 3*e*log(c))*log(a*x + 1)/a^3 + 1/18*(9*(d*n - d*log(c))*a^2 + e*n - 3*e*log(c))*log(a*x - 1)/a^3 + 1/54*(2*(2*e*n - 3*e*log(c))*a^3*x^3 - 9*(3*a^2*d*n + e*n)*log(a*x + 1)*log(x) + 9*(3*a^2*d*n + e*n)*log(a*x - 1)*log(x) + 6*(9*(2*d*n - d*log(c))*a^3 + (4*e*n - 3*e*log(c))*a)*x - 6*((e*n - 3*e*log(c))*a^3*x^3 + 9*(d*n - d*log(c))*a^3*x - 3*(a^3*e*x^3 + 3*a^3*d*x)*log(x^n))*log(a*x + sqrt(a*x + 1)*sqrt(a*x - 1)) - 3*(2*a^3*e*x^3 + 6*(3*a^3*d + a*e)*x - 3*(3*a^2*d + e)*log(a*x + 1) + 3*(3*a^2*d + e)*log(a*x - 1))*log(x^n))/a^3 + integrate(-1/9*((e*n - 3*e*log(c))*a*x^3 + 9*(d*n - d*log(c))*a*x - 3*(a*e*x^3 + 3*a*d*x)*log(x^n))/(a^3*x^3 + (a^2*x^2 - 1)*sqrt(a*x + 1)*sqrt(a*x - 1) - a*x), x)","F",0
192,1,354,0,1.082929," ","integrate((e*x^2+d)*arctanh(a*x)*log(c*x^n),x, algorithm=""maxima"")","-\frac{1}{36} \, n {\left(\frac{18 \, {\left(i \, \pi d - 2 \, d\right)} \log\left(x\right)}{a} + \frac{6 \, {\left(3 \, a^{2} d + e\right)} {\left(\log\left(a x - 1\right) \log\left(a x\right) + {\rm Li}_2\left(-a x + 1\right)\right)}}{a^{3}} + \frac{6 \, {\left(3 \, a^{2} d + e\right)} {\left(\log\left(a x + 1\right) \log\left(-a x\right) + {\rm Li}_2\left(a x + 1\right)\right)}}{a^{3}} + \frac{2 \, {\left(9 \, a^{2} d + e\right)} \log\left(a x + 1\right)}{a^{3}} + \frac{-2 i \, \pi a^{3} e x^{3} - 18 i \, \pi a^{3} d x + 5 \, a^{2} e x^{2} + 2 \, {\left(a^{3} e x^{3} + 9 \, a^{3} d x\right)} \log\left(a x + 1\right) - 2 \, {\left(a^{3} e x^{3} + 9 \, a^{3} d x - 9 \, a^{2} d - e\right)} \log\left(a x - 1\right)}{a^{3}}\right)} + \frac{1}{36} \, {\left({\left(6 \, x^{3} \log\left(a x + 1\right) - a {\left(\frac{2 \, a^{2} x^{3} - 3 \, a x^{2} + 6 \, x}{a^{3}} - \frac{6 \, \log\left(a x + 1\right)}{a^{4}}\right)}\right)} e - {\left(6 \, x^{3} \log\left(-a x + 1\right) - a {\left(\frac{2 \, a^{2} x^{3} + 3 \, a x^{2} + 6 \, x}{a^{3}} + \frac{6 \, \log\left(a x - 1\right)}{a^{4}}\right)}\right)} e - \frac{18 \, {\left(a x - {\left(a x + 1\right)} \log\left(a x + 1\right) + 1\right)} d}{a} + \frac{18 \, {\left(a x - {\left(a x - 1\right)} \log\left(-a x + 1\right) - 1\right)} d}{a}\right)} \log\left(c x^{n}\right)"," ",0,"-1/36*n*(18*(I*pi*d - 2*d)*log(x)/a + 6*(3*a^2*d + e)*(log(a*x - 1)*log(a*x) + dilog(-a*x + 1))/a^3 + 6*(3*a^2*d + e)*(log(a*x + 1)*log(-a*x) + dilog(a*x + 1))/a^3 + 2*(9*a^2*d + e)*log(a*x + 1)/a^3 + (-2*I*pi*a^3*e*x^3 - 18*I*pi*a^3*d*x + 5*a^2*e*x^2 + 2*(a^3*e*x^3 + 9*a^3*d*x)*log(a*x + 1) - 2*(a^3*e*x^3 + 9*a^3*d*x - 9*a^2*d - e)*log(a*x - 1))/a^3) + 1/36*((6*x^3*log(a*x + 1) - a*((2*a^2*x^3 - 3*a*x^2 + 6*x)/a^3 - 6*log(a*x + 1)/a^4))*e - (6*x^3*log(-a*x + 1) - a*((2*a^2*x^3 + 3*a*x^2 + 6*x)/a^3 + 6*log(a*x - 1)/a^4))*e - 18*(a*x - (a*x + 1)*log(a*x + 1) + 1)*d/a + 18*(a*x - (a*x - 1)*log(-a*x + 1) - 1)*d/a)*log(c*x^n)","C",0
193,1,319,0,0.949067," ","integrate((e*x^2+d)*arccoth(a*x)*log(c*x^n),x, algorithm=""maxima"")","-\frac{1}{36} \, n {\left(\frac{6 \, {\left(3 \, a^{2} d + e\right)} {\left(\log\left(a x - 1\right) \log\left(a x\right) + {\rm Li}_2\left(-a x + 1\right)\right)}}{a^{3}} + \frac{6 \, {\left(3 \, a^{2} d + e\right)} {\left(\log\left(a x + 1\right) \log\left(-a x\right) + {\rm Li}_2\left(a x + 1\right)\right)}}{a^{3}} + \frac{2 \, {\left(9 \, a^{2} d + e\right)} \log\left(a x + 1\right)}{a^{3}} + \frac{5 \, a^{2} e x^{2} + 2 \, {\left(a^{3} e x^{3} + 9 \, a^{3} d x\right)} \log\left(a x + 1\right) - 2 \, {\left(a^{3} e x^{3} + 9 \, a^{3} d x - 9 \, a^{2} d - e\right)} \log\left(a x - 1\right)}{a^{3}}\right)} + \frac{1}{12} \, {\left(6 \, {\left(x \log\left(\frac{1}{a x} + 1\right) + \frac{\log\left(a x + 1\right)}{a}\right)} d - 6 \, {\left(x \log\left(-\frac{1}{a x} + 1\right) - \frac{\log\left(a x - 1\right)}{a}\right)} d + {\left(2 \, x^{3} \log\left(\frac{1}{a x} + 1\right) + \frac{\frac{a x^{2} - 2 \, x}{a} + \frac{2 \, \log\left(a x + 1\right)}{a^{2}}}{a}\right)} e - {\left(2 \, x^{3} \log\left(-\frac{1}{a x} + 1\right) - \frac{\frac{a x^{2} + 2 \, x}{a} + \frac{2 \, \log\left(a x - 1\right)}{a^{2}}}{a}\right)} e\right)} \log\left(c x^{n}\right)"," ",0,"-1/36*n*(6*(3*a^2*d + e)*(log(a*x - 1)*log(a*x) + dilog(-a*x + 1))/a^3 + 6*(3*a^2*d + e)*(log(a*x + 1)*log(-a*x) + dilog(a*x + 1))/a^3 + 2*(9*a^2*d + e)*log(a*x + 1)/a^3 + (5*a^2*e*x^2 + 2*(a^3*e*x^3 + 9*a^3*d*x)*log(a*x + 1) - 2*(a^3*e*x^3 + 9*a^3*d*x - 9*a^2*d - e)*log(a*x - 1))/a^3) + 1/12*(6*(x*log(1/(a*x) + 1) + log(a*x + 1)/a)*d - 6*(x*log(-1/(a*x) + 1) - log(a*x - 1)/a)*d + (2*x^3*log(1/(a*x) + 1) + ((a*x^2 - 2*x)/a + 2*log(a*x + 1)/a^2)/a)*e - (2*x^3*log(-1/(a*x) + 1) - ((a*x^2 + 2*x)/a + 2*log(a*x - 1)/a^2)/a)*e)*log(c*x^n)","A",0
194,0,0,0,0.000000," ","integrate((e*x^2+d)*arcsin(a*x)^2*log(c*x^n),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(e x^{3} + 3 \, d x\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} \log\left(x^{n}\right) - \frac{1}{9} \, {\left({\left(e n - 3 \, e \log\left(c\right)\right)} x^{3} + 9 \, {\left(d n - d \log\left(c\right)\right)} x\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)^{2} + \int \frac{2 \, {\left(3 \, {\left(a e x^{3} + 3 \, a d x\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right) \log\left(x^{n}\right) - {\left({\left(a e n - 3 \, a e \log\left(c\right)\right)} x^{3} + 9 \, {\left(a d n - a d \log\left(c\right)\right)} x\right)} \arctan\left(a x, \sqrt{a x + 1} \sqrt{-a x + 1}\right)\right)} \sqrt{a x + 1} \sqrt{-a x + 1}}{9 \, {\left(a^{2} x^{2} - 1\right)}}\,{d x}"," ",0,"1/3*(e*x^3 + 3*d*x)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2*log(x^n) - 1/9*((e*n - 3*e*log(c))*x^3 + 9*(d*n - d*log(c))*x)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))^2 + integrate(2/9*(3*(a*e*x^3 + 3*a*d*x)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1))*log(x^n) - ((a*e*n - 3*a*e*log(c))*x^3 + 9*(a*d*n - a*d*log(c))*x)*arctan2(a*x, sqrt(a*x + 1)*sqrt(-a*x + 1)))*sqrt(a*x + 1)*sqrt(-a*x + 1)/(a^2*x^2 - 1), x)","F",0
195,0,0,0,0.000000," ","integrate((e*x^2+d)*arccos(a*x)^2*log(c*x^n),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(e x^{3} + 3 \, d x\right)} \arctan\left(\sqrt{a x + 1} \sqrt{-a x + 1}, a x\right)^{2} \log\left(x^{n}\right) - \frac{1}{9} \, {\left({\left(e n - 3 \, e \log\left(c\right)\right)} x^{3} + 9 \, {\left(d n - d \log\left(c\right)\right)} x\right)} \arctan\left(\sqrt{a x + 1} \sqrt{-a x + 1}, a x\right)^{2} - \int \frac{2 \, {\left(3 \, {\left(a e x^{3} + 3 \, a d x\right)} \arctan\left(\sqrt{a x + 1} \sqrt{-a x + 1}, a x\right) \log\left(x^{n}\right) - {\left({\left(a e n - 3 \, a e \log\left(c\right)\right)} x^{3} + 9 \, {\left(a d n - a d \log\left(c\right)\right)} x\right)} \arctan\left(\sqrt{a x + 1} \sqrt{-a x + 1}, a x\right)\right)} \sqrt{a x + 1} \sqrt{-a x + 1}}{9 \, {\left(a^{2} x^{2} - 1\right)}}\,{d x}"," ",0,"1/3*(e*x^3 + 3*d*x)*arctan2(sqrt(a*x + 1)*sqrt(-a*x + 1), a*x)^2*log(x^n) - 1/9*((e*n - 3*e*log(c))*x^3 + 9*(d*n - d*log(c))*x)*arctan2(sqrt(a*x + 1)*sqrt(-a*x + 1), a*x)^2 - integrate(2/9*(3*(a*e*x^3 + 3*a*d*x)*arctan2(sqrt(a*x + 1)*sqrt(-a*x + 1), a*x)*log(x^n) - ((a*e*n - 3*a*e*log(c))*x^3 + 9*(a*d*n - a*d*log(c))*x)*arctan2(sqrt(a*x + 1)*sqrt(-a*x + 1), a*x))*sqrt(a*x + 1)*sqrt(-a*x + 1)/(a^2*x^2 - 1), x)","F",0
196,0,0,0,0.000000," ","integrate((e*x^2+d)*arcsinh(a*x)^2*log(c*x^n),x, algorithm=""maxima"")","-\frac{1}{9} \, {\left({\left(e n - 3 \, e \log\left(c\right)\right)} x^{3} + 9 \, {\left(d n - d \log\left(c\right)\right)} x - 3 \, {\left(e x^{3} + 3 \, d x\right)} \log\left(x^{n}\right)\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)^{2} - \int -\frac{2 \, {\left({\left(e n - 3 \, e \log\left(c\right)\right)} a^{3} x^{5} + {\left(9 \, {\left(d n - d \log\left(c\right)\right)} a^{3} + {\left(e n - 3 \, e \log\left(c\right)\right)} a\right)} x^{3} + 9 \, {\left(d n - d \log\left(c\right)\right)} a x - 3 \, {\left(a^{3} e x^{5} + {\left(3 \, a^{3} d + a e\right)} x^{3} + 3 \, a d x\right)} \log\left(x^{n}\right) + {\left({\left(e n - 3 \, e \log\left(c\right)\right)} a^{2} x^{4} + 9 \, {\left(d n - d \log\left(c\right)\right)} a^{2} x^{2} - 3 \, {\left(a^{2} e x^{4} + 3 \, a^{2} d x^{2}\right)} \log\left(x^{n}\right)\right)} \sqrt{a^{2} x^{2} + 1}\right)} \log\left(a x + \sqrt{a^{2} x^{2} + 1}\right)}{9 \, {\left(a^{3} x^{3} + a x + {\left(a^{2} x^{2} + 1\right)}^{\frac{3}{2}}\right)}}\,{d x}"," ",0,"-1/9*((e*n - 3*e*log(c))*x^3 + 9*(d*n - d*log(c))*x - 3*(e*x^3 + 3*d*x)*log(x^n))*log(a*x + sqrt(a^2*x^2 + 1))^2 - integrate(-2/9*((e*n - 3*e*log(c))*a^3*x^5 + (9*(d*n - d*log(c))*a^3 + (e*n - 3*e*log(c))*a)*x^3 + 9*(d*n - d*log(c))*a*x - 3*(a^3*e*x^5 + (3*a^3*d + a*e)*x^3 + 3*a*d*x)*log(x^n) + ((e*n - 3*e*log(c))*a^2*x^4 + 9*(d*n - d*log(c))*a^2*x^2 - 3*(a^2*e*x^4 + 3*a^2*d*x^2)*log(x^n))*sqrt(a^2*x^2 + 1))*log(a*x + sqrt(a^2*x^2 + 1))/(a^3*x^3 + a*x + (a^2*x^2 + 1)^(3/2)), x)","F",0
197,0,0,0,0.000000," ","integrate((e*x^2+d)*arccosh(a*x)^2*log(c*x^n),x, algorithm=""maxima"")","-\frac{1}{9} \, {\left({\left(e n - 3 \, e \log\left(c\right)\right)} x^{3} + 9 \, {\left(d n - d \log\left(c\right)\right)} x - 3 \, {\left(e x^{3} + 3 \, d x\right)} \log\left(x^{n}\right)\right)} \log\left(a x + \sqrt{a x + 1} \sqrt{a x - 1}\right)^{2} - \int -\frac{2 \, {\left({\left(e n - 3 \, e \log\left(c\right)\right)} a^{3} x^{5} + {\left(9 \, {\left(d n - d \log\left(c\right)\right)} a^{3} - {\left(e n - 3 \, e \log\left(c\right)\right)} a\right)} x^{3} - 9 \, {\left(d n - d \log\left(c\right)\right)} a x + {\left({\left(e n - 3 \, e \log\left(c\right)\right)} a^{2} x^{4} + 9 \, {\left(d n - d \log\left(c\right)\right)} a^{2} x^{2} - 3 \, {\left(a^{2} e x^{4} + 3 \, a^{2} d x^{2}\right)} \log\left(x^{n}\right)\right)} \sqrt{a x + 1} \sqrt{a x - 1} - 3 \, {\left(a^{3} e x^{5} + {\left(3 \, a^{3} d - a e\right)} x^{3} - 3 \, a d x\right)} \log\left(x^{n}\right)\right)} \log\left(a x + \sqrt{a x + 1} \sqrt{a x - 1}\right)}{9 \, {\left(a^{3} x^{3} + {\left(a^{2} x^{2} - 1\right)} \sqrt{a x + 1} \sqrt{a x - 1} - a x\right)}}\,{d x}"," ",0,"-1/9*((e*n - 3*e*log(c))*x^3 + 9*(d*n - d*log(c))*x - 3*(e*x^3 + 3*d*x)*log(x^n))*log(a*x + sqrt(a*x + 1)*sqrt(a*x - 1))^2 - integrate(-2/9*((e*n - 3*e*log(c))*a^3*x^5 + (9*(d*n - d*log(c))*a^3 - (e*n - 3*e*log(c))*a)*x^3 - 9*(d*n - d*log(c))*a*x + ((e*n - 3*e*log(c))*a^2*x^4 + 9*(d*n - d*log(c))*a^2*x^2 - 3*(a^2*e*x^4 + 3*a^2*d*x^2)*log(x^n))*sqrt(a*x + 1)*sqrt(a*x - 1) - 3*(a^3*e*x^5 + (3*a^3*d - a*e)*x^3 - 3*a*d*x)*log(x^n))*log(a*x + sqrt(a*x + 1)*sqrt(a*x - 1))/(a^3*x^3 + (a^2*x^2 - 1)*sqrt(a*x + 1)*sqrt(a*x - 1) - a*x), x)","F",0
198,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^p*polylog(k,e*x^q)/x,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{p} {\rm Li}_{k}(e x^{q})}{x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^p*polylog(k, e*x^q)/x, x)","F",0
199,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3*polylog(k,e*x^q)/x,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3} {\rm Li}_{k}(e x^{q})}{x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^3*polylog(k, e*x^q)/x, x)","F",0
200,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2*polylog(k,e*x^q)/x,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} {\rm Li}_{k}(e x^{q})}{x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^2*polylog(k, e*x^q)/x, x)","F",0
201,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*polylog(k,e*x^q)/x,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} {\rm Li}_{k}(e x^{q})}{x}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*polylog(k, e*x^q)/x, x)","F",0
202,0,0,0,0.000000," ","integrate(polylog(k,e*x^q)/x/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{{\rm Li}_{k}(e x^{q})}{{\left(b \log\left(c x^{n}\right) + a\right)} x}\,{d x}"," ",0,"integrate(polylog(k, e*x^q)/((b*log(c*x^n) + a)*x), x)","F",0
203,0,0,0,0.000000," ","integrate(polylog(k,e*x^q)/x/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\int \frac{{\rm Li}_{k}(e x^{q})}{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x}\,{d x}"," ",0,"integrate(polylog(k, e*x^q)/((b*log(c*x^n) + a)^2*x), x)","F",0
204,0,0,0,0.000000," ","integrate(polylog(k,e*x^q)/x/(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\int \frac{{\rm Li}_{k}(e x^{q})}{{\left(b \log\left(c x^{n}\right) + a\right)}^{3} x}\,{d x}"," ",0,"integrate(polylog(k, e*x^q)/((b*log(c*x^n) + a)^3*x), x)","F",0
205,0,0,0,0.000000," ","integrate(log(x)*polylog(n,a*x)/x,x, algorithm=""maxima"")","\int \frac{\log\left(x\right) {\rm Li}_{n}(a x)}{x}\,{d x}"," ",0,"integrate(log(x)*polylog(n, a*x)/x, x)","F",0
206,0,0,0,0.000000," ","integrate(log(x)^2*polylog(n,a*x)/x,x, algorithm=""maxima"")","\int \frac{\log\left(x\right)^{2} {\rm Li}_{n}(a x)}{x}\,{d x}"," ",0,"integrate(log(x)^2*polylog(n, a*x)/x, x)","F",0
207,0,0,0,0.000000," ","integrate(q*polylog(-1+k,e*x^q)/b/n/x/(a+b*log(c*x^n))-polylog(k,e*x^q)/x/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\int \frac{q {\rm Li}_{k - 1}(e x^{q})}{{\left(b \log\left(c x^{n}\right) + a\right)} b n x} - \frac{{\rm Li}_{k}(e x^{q})}{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x}\,{d x}"," ",0,"integrate(q*polylog(k - 1, e*x^q)/((b*log(c*x^n) + a)*b*n*x) - polylog(k, e*x^q)/((b*log(c*x^n) + a)^2*x), x)","F",0
208,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))*polylog(2,e*x),x, algorithm=""maxima"")","\frac{1}{54} \, b {\left(\frac{6 \, {\left(3 \, e^{3} x^{3} \log\left(x^{n}\right) - {\left(e^{3} n - 3 \, e^{3} \log\left(c\right)\right)} x^{3}\right)} {\rm Li}_2\left(e x\right) - 2 \, {\left({\left(2 \, e^{3} n - 3 \, e^{3} \log\left(c\right)\right)} x^{3} - 3 \, n \log\left(x\right)\right)} \log\left(-e x + 1\right) - {\left(2 \, e^{3} x^{3} + 3 \, e^{2} x^{2} + 6 \, e x - 6 \, {\left(e^{3} x^{3} - 1\right)} \log\left(-e x + 1\right)\right)} \log\left(x^{n}\right)}{e^{3}} - 54 \, \int -\frac{e^{2} n x^{2} + 6 \, {\left(e^{3} n - e^{3} \log\left(c\right)\right)} x^{3} + 3 \, e n x - 6 \, n \log\left(x\right) - 6 \, n}{54 \, {\left(e^{3} x - e^{2}\right)}}\,{d x}\right)} + \frac{{\left(18 \, e^{3} x^{3} {\rm Li}_2\left(e x\right) - 2 \, e^{3} x^{3} - 3 \, e^{2} x^{2} - 6 \, e x + 6 \, {\left(e^{3} x^{3} - 1\right)} \log\left(-e x + 1\right)\right)} a}{54 \, e^{3}}"," ",0,"1/54*b*((6*(3*e^3*x^3*log(x^n) - (e^3*n - 3*e^3*log(c))*x^3)*dilog(e*x) - 2*((2*e^3*n - 3*e^3*log(c))*x^3 - 3*n*log(x))*log(-e*x + 1) - (2*e^3*x^3 + 3*e^2*x^2 + 6*e*x - 6*(e^3*x^3 - 1)*log(-e*x + 1))*log(x^n))/e^3 - 54*integrate(-1/54*(e^2*n*x^2 + 6*(e^3*n - e^3*log(c))*x^3 + 3*e*n*x - 6*n*log(x) - 6*n)/(e^3*x - e^2), x)) + 1/54*(18*e^3*x^3*dilog(e*x) - 2*e^3*x^3 - 3*e^2*x^2 - 6*e*x + 6*(e^3*x^3 - 1)*log(-e*x + 1))*a/e^3","F",0
209,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))*polylog(2,e*x),x, algorithm=""maxima"")","\frac{1}{8} \, b {\left(\frac{2 \, {\left(2 \, e^{2} x^{2} \log\left(x^{n}\right) - {\left(e^{2} n - 2 \, e^{2} \log\left(c\right)\right)} x^{2}\right)} {\rm Li}_2\left(e x\right) - 2 \, {\left({\left(e^{2} n - e^{2} \log\left(c\right)\right)} x^{2} - n \log\left(x\right)\right)} \log\left(-e x + 1\right) - {\left(e^{2} x^{2} + 2 \, e x - 2 \, {\left(e^{2} x^{2} - 1\right)} \log\left(-e x + 1\right)\right)} \log\left(x^{n}\right)}{e^{2}} - 8 \, \int -\frac{e n x + {\left(3 \, e^{2} n - 2 \, e^{2} \log\left(c\right)\right)} x^{2} - 2 \, n \log\left(x\right) - 2 \, n}{8 \, {\left(e^{2} x - e\right)}}\,{d x}\right)} + \frac{{\left(4 \, e^{2} x^{2} {\rm Li}_2\left(e x\right) - e^{2} x^{2} - 2 \, e x + 2 \, {\left(e^{2} x^{2} - 1\right)} \log\left(-e x + 1\right)\right)} a}{8 \, e^{2}}"," ",0,"1/8*b*((2*(2*e^2*x^2*log(x^n) - (e^2*n - 2*e^2*log(c))*x^2)*dilog(e*x) - 2*((e^2*n - e^2*log(c))*x^2 - n*log(x))*log(-e*x + 1) - (e^2*x^2 + 2*e*x - 2*(e^2*x^2 - 1)*log(-e*x + 1))*log(x^n))/e^2 - 8*integrate(-1/8*(e*n*x + (3*e^2*n - 2*e^2*log(c))*x^2 - 2*n*log(x) - 2*n)/(e^2*x - e), x)) + 1/8*(4*e^2*x^2*dilog(e*x) - e^2*x^2 - 2*e*x + 2*(e^2*x^2 - 1)*log(-e*x + 1))*a/e^2","F",0
210,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*polylog(2,e*x),x, algorithm=""maxima"")","b {\left(\frac{{\left(e x \log\left(x^{n}\right) - {\left(e n - e \log\left(c\right)\right)} x\right)} {\rm Li}_2\left(e x\right) - {\left({\left(2 \, e n - e \log\left(c\right)\right)} x - n \log\left(x\right)\right)} \log\left(-e x + 1\right) - {\left(e x - {\left(e x - 1\right)} \log\left(-e x + 1\right)\right)} \log\left(x^{n}\right)}{e} - \int -\frac{{\left(3 \, e n - e \log\left(c\right)\right)} x - n \log\left(x\right) - n}{e x - 1}\,{d x}\right)} + \frac{{\left(e x {\rm Li}_2\left(e x\right) - e x + {\left(e x - 1\right)} \log\left(-e x + 1\right)\right)} a}{e}"," ",0,"b*(((e*x*log(x^n) - (e*n - e*log(c))*x)*dilog(e*x) - ((2*e*n - e*log(c))*x - n*log(x))*log(-e*x + 1) - (e*x - (e*x - 1)*log(-e*x + 1))*log(x^n))/e - integrate(-((3*e*n - e*log(c))*x - n*log(x) - n)/(e*x - 1), x)) + (e*x*dilog(e*x) - e*x + (e*x - 1)*log(-e*x + 1))*a/e","F",0
211,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*polylog(2,e*x)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(b n \log\left(x\right)^{2} - 2 \, b \log\left(x\right) \log\left(x^{n}\right) - 2 \, {\left(b \log\left(c\right) + a\right)} \log\left(x\right)\right)} {\rm Li}_2\left(e x\right) + \frac{1}{2} \, \int \frac{2 \, b \log\left(-e x + 1\right) \log\left(x\right) \log\left(x^{n}\right) - {\left(b n \log\left(x\right)^{2} - 2 \, {\left(b \log\left(c\right) + a\right)} \log\left(x\right)\right)} \log\left(-e x + 1\right)}{x}\,{d x}"," ",0,"-1/2*(b*n*log(x)^2 - 2*b*log(x)*log(x^n) - 2*(b*log(c) + a)*log(x))*dilog(e*x) + 1/2*integrate((2*b*log(-e*x + 1)*log(x)*log(x^n) - (b*n*log(x)^2 - 2*(b*log(c) + a)*log(x))*log(-e*x + 1))/x, x)","F",0
212,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*polylog(2,e*x)/x^2,x, algorithm=""maxima"")","{\left(e \log\left(x\right) - \frac{{\left(e x - 1\right)} \log\left(-e x + 1\right) + {\rm Li}_2\left(e x\right)}{x}\right)} a - b {\left(\frac{{\left(n + \log\left(c\right) + \log\left(x^{n}\right)\right)} {\rm Li}_2\left(e x\right) - {\left(e n x \log\left(x\right) + 2 \, n + \log\left(c\right)\right)} \log\left(-e x + 1\right) - {\left(e x \log\left(x\right) - {\left(e x - 1\right)} \log\left(-e x + 1\right)\right)} \log\left(x^{n}\right)}{x} + \int \frac{2 \, e n + e \log\left(c\right) + {\left(2 \, e^{2} n x - e n\right)} \log\left(x\right)}{e x^{2} - x}\,{d x}\right)}"," ",0,"(e*log(x) - ((e*x - 1)*log(-e*x + 1) + dilog(e*x))/x)*a - b*(((n + log(c) + log(x^n))*dilog(e*x) - (e*n*x*log(x) + 2*n + log(c))*log(-e*x + 1) - (e*x*log(x) - (e*x - 1)*log(-e*x + 1))*log(x^n))/x + integrate((2*e*n + e*log(c) + (2*e^2*n*x - e*n)*log(x))/(e*x^2 - x), x))","F",0
213,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*polylog(2,e*x)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(e^{2} \log\left(x\right) - \frac{e x + {\left(e^{2} x^{2} - 1\right)} \log\left(-e x + 1\right) + 2 \, {\rm Li}_2\left(e x\right)}{x^{2}}\right)} a - \frac{1}{4} \, b {\left(\frac{{\left(n + 2 \, \log\left(c\right) + 2 \, \log\left(x^{n}\right)\right)} {\rm Li}_2\left(e x\right) - {\left(e^{2} n x^{2} \log\left(x\right) + n + \log\left(c\right)\right)} \log\left(-e x + 1\right) - {\left(e^{2} x^{2} \log\left(x\right) - e x - {\left(e^{2} x^{2} - 1\right)} \log\left(-e x + 1\right)\right)} \log\left(x^{n}\right)}{x^{2}} + 4 \, \int -\frac{e^{2} n x - 2 \, e n - e \log\left(c\right) - {\left(2 \, e^{3} n x^{2} - e^{2} n x\right)} \log\left(x\right)}{4 \, {\left(e x^{3} - x^{2}\right)}}\,{d x}\right)}"," ",0,"1/4*(e^2*log(x) - (e*x + (e^2*x^2 - 1)*log(-e*x + 1) + 2*dilog(e*x))/x^2)*a - 1/4*b*(((n + 2*log(c) + 2*log(x^n))*dilog(e*x) - (e^2*n*x^2*log(x) + n + log(c))*log(-e*x + 1) - (e^2*x^2*log(x) - e*x - (e^2*x^2 - 1)*log(-e*x + 1))*log(x^n))/x^2 + 4*integrate(-1/4*(e^2*n*x - 2*e*n - e*log(c) - (2*e^3*n*x^2 - e^2*n*x)*log(x))/(e*x^3 - x^2), x))","F",0
214,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))*polylog(3,e*x),x, algorithm=""maxima"")","-\frac{1}{162} \, b {\left(\frac{6 \, {\left(3 \, e^{3} x^{3} \log\left(x^{n}\right) - {\left(2 \, e^{3} n - 3 \, e^{3} \log\left(c\right)\right)} x^{3}\right)} {\rm Li}_2\left(e x\right) - 6 \, {\left({\left(e^{3} n - e^{3} \log\left(c\right)\right)} x^{3} - n \log\left(x\right)\right)} \log\left(-e x + 1\right) - {\left(2 \, e^{3} x^{3} + 3 \, e^{2} x^{2} + 6 \, e x - 6 \, {\left(e^{3} x^{3} - 1\right)} \log\left(-e x + 1\right)\right)} \log\left(x^{n}\right) - 18 \, {\left(3 \, e^{3} x^{3} \log\left(x^{n}\right) - {\left(e^{3} n - 3 \, e^{3} \log\left(c\right)\right)} x^{3}\right)} {\rm Li}_{3}(e x)}{e^{3}} - 162 \, \int -\frac{e^{2} n x^{2} + 2 \, {\left(4 \, e^{3} n - 3 \, e^{3} \log\left(c\right)\right)} x^{3} + 3 \, e n x - 6 \, n \log\left(x\right) - 6 \, n}{162 \, {\left(e^{3} x - e^{2}\right)}}\,{d x}\right)} - \frac{{\left(18 \, e^{3} x^{3} {\rm Li}_2\left(e x\right) - 54 \, e^{3} x^{3} {\rm Li}_{3}(e x) - 2 \, e^{3} x^{3} - 3 \, e^{2} x^{2} - 6 \, e x + 6 \, {\left(e^{3} x^{3} - 1\right)} \log\left(-e x + 1\right)\right)} a}{162 \, e^{3}}"," ",0,"-1/162*b*((6*(3*e^3*x^3*log(x^n) - (2*e^3*n - 3*e^3*log(c))*x^3)*dilog(e*x) - 6*((e^3*n - e^3*log(c))*x^3 - n*log(x))*log(-e*x + 1) - (2*e^3*x^3 + 3*e^2*x^2 + 6*e*x - 6*(e^3*x^3 - 1)*log(-e*x + 1))*log(x^n) - 18*(3*e^3*x^3*log(x^n) - (e^3*n - 3*e^3*log(c))*x^3)*polylog(3, e*x))/e^3 - 162*integrate(-1/162*(e^2*n*x^2 + 2*(4*e^3*n - 3*e^3*log(c))*x^3 + 3*e*n*x - 6*n*log(x) - 6*n)/(e^3*x - e^2), x)) - 1/162*(18*e^3*x^3*dilog(e*x) - 54*e^3*x^3*polylog(3, e*x) - 2*e^3*x^3 - 3*e^2*x^2 - 6*e*x + 6*(e^3*x^3 - 1)*log(-e*x + 1))*a/e^3","F",0
215,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))*polylog(3,e*x),x, algorithm=""maxima"")","-\frac{1}{16} \, b {\left(\frac{4 \, {\left(e^{2} x^{2} \log\left(x^{n}\right) - {\left(e^{2} n - e^{2} \log\left(c\right)\right)} x^{2}\right)} {\rm Li}_2\left(e x\right) - {\left({\left(3 \, e^{2} n - 2 \, e^{2} \log\left(c\right)\right)} x^{2} - 2 \, n \log\left(x\right)\right)} \log\left(-e x + 1\right) - {\left(e^{2} x^{2} + 2 \, e x - 2 \, {\left(e^{2} x^{2} - 1\right)} \log\left(-e x + 1\right)\right)} \log\left(x^{n}\right) - 4 \, {\left(2 \, e^{2} x^{2} \log\left(x^{n}\right) - {\left(e^{2} n - 2 \, e^{2} \log\left(c\right)\right)} x^{2}\right)} {\rm Li}_{3}(e x)}{e^{2}} - 16 \, \int -\frac{e n x + 2 \, {\left(2 \, e^{2} n - e^{2} \log\left(c\right)\right)} x^{2} - 2 \, n \log\left(x\right) - 2 \, n}{16 \, {\left(e^{2} x - e\right)}}\,{d x}\right)} - \frac{{\left(4 \, e^{2} x^{2} {\rm Li}_2\left(e x\right) - 8 \, e^{2} x^{2} {\rm Li}_{3}(e x) - e^{2} x^{2} - 2 \, e x + 2 \, {\left(e^{2} x^{2} - 1\right)} \log\left(-e x + 1\right)\right)} a}{16 \, e^{2}}"," ",0,"-1/16*b*((4*(e^2*x^2*log(x^n) - (e^2*n - e^2*log(c))*x^2)*dilog(e*x) - ((3*e^2*n - 2*e^2*log(c))*x^2 - 2*n*log(x))*log(-e*x + 1) - (e^2*x^2 + 2*e*x - 2*(e^2*x^2 - 1)*log(-e*x + 1))*log(x^n) - 4*(2*e^2*x^2*log(x^n) - (e^2*n - 2*e^2*log(c))*x^2)*polylog(3, e*x))/e^2 - 16*integrate(-1/16*(e*n*x + 2*(2*e^2*n - e^2*log(c))*x^2 - 2*n*log(x) - 2*n)/(e^2*x - e), x)) - 1/16*(4*e^2*x^2*dilog(e*x) - 8*e^2*x^2*polylog(3, e*x) - e^2*x^2 - 2*e*x + 2*(e^2*x^2 - 1)*log(-e*x + 1))*a/e^2","F",0
216,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*polylog(3,e*x),x, algorithm=""maxima"")","-b {\left(\frac{{\left(e x \log\left(x^{n}\right) - {\left(2 \, e n - e \log\left(c\right)\right)} x\right)} {\rm Li}_2\left(e x\right) - {\left({\left(3 \, e n - e \log\left(c\right)\right)} x - n \log\left(x\right)\right)} \log\left(-e x + 1\right) - {\left(e x - {\left(e x - 1\right)} \log\left(-e x + 1\right)\right)} \log\left(x^{n}\right) - {\left(e x \log\left(x^{n}\right) - {\left(e n - e \log\left(c\right)\right)} x\right)} {\rm Li}_{3}(e x)}{e} - \int -\frac{{\left(4 \, e n - e \log\left(c\right)\right)} x - n \log\left(x\right) - n}{e x - 1}\,{d x}\right)} - \frac{{\left(e x {\rm Li}_2\left(e x\right) - e x {\rm Li}_{3}(e x) - e x + {\left(e x - 1\right)} \log\left(-e x + 1\right)\right)} a}{e}"," ",0,"-b*(((e*x*log(x^n) - (2*e*n - e*log(c))*x)*dilog(e*x) - ((3*e*n - e*log(c))*x - n*log(x))*log(-e*x + 1) - (e*x - (e*x - 1)*log(-e*x + 1))*log(x^n) - (e*x*log(x^n) - (e*n - e*log(c))*x)*polylog(3, e*x))/e - integrate(-((4*e*n - e*log(c))*x - n*log(x) - n)/(e*x - 1), x)) - (e*x*dilog(e*x) - e*x*polylog(3, e*x) - e*x + (e*x - 1)*log(-e*x + 1))*a/e","F",0
217,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*polylog(3,e*x)/x,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(2 \, b n \log\left(x\right)^{3} - 3 \, b \log\left(x\right)^{2} \log\left(x^{n}\right) - 3 \, {\left(b \log\left(c\right) + a\right)} \log\left(x\right)^{2}\right)} {\rm Li}_2\left(e x\right) - \frac{1}{2} \, {\left(b n \log\left(x\right)^{2} - 2 \, b \log\left(x\right) \log\left(x^{n}\right) - 2 \, {\left(b \log\left(c\right) + a\right)} \log\left(x\right)\right)} {\rm Li}_{3}(e x) - \frac{1}{6} \, \int \frac{3 \, b \log\left(-e x + 1\right) \log\left(x\right)^{2} \log\left(x^{n}\right) - {\left(2 \, b n \log\left(x\right)^{3} - 3 \, {\left(b \log\left(c\right) + a\right)} \log\left(x\right)^{2}\right)} \log\left(-e x + 1\right)}{x}\,{d x}"," ",0,"1/6*(2*b*n*log(x)^3 - 3*b*log(x)^2*log(x^n) - 3*(b*log(c) + a)*log(x)^2)*dilog(e*x) - 1/2*(b*n*log(x)^2 - 2*b*log(x)*log(x^n) - 2*(b*log(c) + a)*log(x))*polylog(3, e*x) - 1/6*integrate((3*b*log(-e*x + 1)*log(x)^2*log(x^n) - (2*b*n*log(x)^3 - 3*(b*log(c) + a)*log(x)^2)*log(-e*x + 1))/x, x)","F",0
218,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*polylog(3,e*x)/x^2,x, algorithm=""maxima"")","{\left(e \log\left(x\right) - \frac{{\left(e x - 1\right)} \log\left(-e x + 1\right) + {\rm Li}_2\left(e x\right) + {\rm Li}_{3}(e x)}{x}\right)} a - b {\left(\frac{{\left(2 \, n + \log\left(c\right) + \log\left(x^{n}\right)\right)} {\rm Li}_2\left(e x\right) - {\left(e n x \log\left(x\right) + 3 \, n + \log\left(c\right)\right)} \log\left(-e x + 1\right) - {\left(e x \log\left(x\right) - {\left(e x - 1\right)} \log\left(-e x + 1\right)\right)} \log\left(x^{n}\right) + {\left(n + \log\left(c\right) + \log\left(x^{n}\right)\right)} {\rm Li}_{3}(e x)}{x} + \int \frac{3 \, e n + e \log\left(c\right) + {\left(2 \, e^{2} n x - e n\right)} \log\left(x\right)}{e x^{2} - x}\,{d x}\right)}"," ",0,"(e*log(x) - ((e*x - 1)*log(-e*x + 1) + dilog(e*x) + polylog(3, e*x))/x)*a - b*(((2*n + log(c) + log(x^n))*dilog(e*x) - (e*n*x*log(x) + 3*n + log(c))*log(-e*x + 1) - (e*x*log(x) - (e*x - 1)*log(-e*x + 1))*log(x^n) + (n + log(c) + log(x^n))*polylog(3, e*x))/x + integrate((3*e*n + e*log(c) + (2*e^2*n*x - e*n)*log(x))/(e*x^2 - x), x))","F",0
219,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*polylog(3,e*x)/x^3,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(e^{2} \log\left(x\right) - \frac{e x + {\left(e^{2} x^{2} - 1\right)} \log\left(-e x + 1\right) + 2 \, {\rm Li}_2\left(e x\right) + 4 \, {\rm Li}_{3}(e x)}{x^{2}}\right)} a - \frac{1}{16} \, b {\left(\frac{4 \, {\left(n + \log\left(c\right) + \log\left(x^{n}\right)\right)} {\rm Li}_2\left(e x\right) - {\left(2 \, e^{2} n x^{2} \log\left(x\right) + 3 \, n + 2 \, \log\left(c\right)\right)} \log\left(-e x + 1\right) - 2 \, {\left(e^{2} x^{2} \log\left(x\right) - e x - {\left(e^{2} x^{2} - 1\right)} \log\left(-e x + 1\right)\right)} \log\left(x^{n}\right) + 4 \, {\left(n + 2 \, \log\left(c\right) + 2 \, \log\left(x^{n}\right)\right)} {\rm Li}_{3}(e x)}{x^{2}} + 16 \, \int -\frac{2 \, e^{2} n x - 5 \, e n - 2 \, e \log\left(c\right) - 2 \, {\left(2 \, e^{3} n x^{2} - e^{2} n x\right)} \log\left(x\right)}{16 \, {\left(e x^{3} - x^{2}\right)}}\,{d x}\right)}"," ",0,"1/8*(e^2*log(x) - (e*x + (e^2*x^2 - 1)*log(-e*x + 1) + 2*dilog(e*x) + 4*polylog(3, e*x))/x^2)*a - 1/16*b*((4*(n + log(c) + log(x^n))*dilog(e*x) - (2*e^2*n*x^2*log(x) + 3*n + 2*log(c))*log(-e*x + 1) - 2*(e^2*x^2*log(x) - e*x - (e^2*x^2 - 1)*log(-e*x + 1))*log(x^n) + 4*(n + 2*log(c) + 2*log(x^n))*polylog(3, e*x))/x^2 + 16*integrate(-1/16*(2*e^2*n*x - 5*e*n - 2*e*log(c) - 2*(2*e^3*n*x^2 - e^2*n*x)*log(x))/(e*x^3 - x^2), x))","F",0
220,0,0,0,0.000000," ","integrate(-(d*x)^m*(a+b*log(c*x^n))*log(1-e*x^q),x, algorithm=""maxima"")","-\frac{{\left(b d^{m} {\left(m + 1\right)} x x^{m} \log\left(x^{n}\right) + {\left(a d^{m} {\left(m + 1\right)} + {\left(d^{m} {\left(m + 1\right)} \log\left(c\right) - d^{m} n\right)} b\right)} x x^{m}\right)} \log\left(-e x^{q} + 1\right)}{m^{2} + 2 \, m + 1} + \int \frac{{\left(m q + q\right)} b d^{m} e e^{\left(m \log\left(x\right) + q \log\left(x\right)\right)} \log\left(x^{n}\right) + {\left({\left(m q + q\right)} a d^{m} e - {\left(d^{m} e n q - {\left(m q + q\right)} d^{m} e \log\left(c\right)\right)} b\right)} e^{\left(m \log\left(x\right) + q \log\left(x\right)\right)}}{{\left(m^{2} + 2 \, m + 1\right)} e x^{q} - m^{2} - 2 \, m - 1}\,{d x}"," ",0,"-(b*d^m*(m + 1)*x*x^m*log(x^n) + (a*d^m*(m + 1) + (d^m*(m + 1)*log(c) - d^m*n)*b)*x*x^m)*log(-e*x^q + 1)/(m^2 + 2*m + 1) + integrate(((m*q + q)*b*d^m*e*e^(m*log(x) + q*log(x))*log(x^n) + ((m*q + q)*a*d^m*e - (d^m*e*n*q - (m*q + q)*d^m*e*log(c))*b)*e^(m*log(x) + q*log(x)))/((m^2 + 2*m + 1)*e*x^q - m^2 - 2*m - 1), x)","F",0
221,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*log(c*x^n))*polylog(2,e*x^q),x, algorithm=""maxima"")","\frac{{\left({\left(b d^{m} m^{2} + 2 \, b d^{m} m + b d^{m}\right)} x x^{m} \log\left(x^{n}\right) + {\left({\left(b \log\left(c\right) + a\right)} d^{m} m^{2} + 2 \, {\left(b \log\left(c\right) + a\right)} d^{m} m + {\left(b \log\left(c\right) + a\right)} d^{m} - {\left(b d^{m} m + b d^{m}\right)} n\right)} x x^{m}\right)} {\rm Li}_2\left(e x^{q}\right) + {\left({\left(b d^{m} m + b d^{m}\right)} q x x^{m} \log\left(x^{n}\right) + {\left({\left(b \log\left(c\right) + a\right)} d^{m} m - 2 \, b d^{m} n + {\left(b \log\left(c\right) + a\right)} d^{m}\right)} q x x^{m}\right)} \log\left(-e x^{q} + 1\right)}{m^{3} + 3 \, m^{2} + 3 \, m + 1} - \int -\frac{{\left(b d^{m} e m + b d^{m} e\right)} q^{2} e^{\left(m \log\left(x\right) + q \log\left(x\right)\right)} \log\left(x^{n}\right) + {\left({\left(b \log\left(c\right) + a\right)} d^{m} e m - 2 \, b d^{m} e n + {\left(b \log\left(c\right) + a\right)} d^{m} e\right)} q^{2} e^{\left(m \log\left(x\right) + q \log\left(x\right)\right)}}{m^{3} + 3 \, m^{2} - {\left(e m^{3} + 3 \, e m^{2} + 3 \, e m + e\right)} x^{q} + 3 \, m + 1}\,{d x}"," ",0,"(((b*d^m*m^2 + 2*b*d^m*m + b*d^m)*x*x^m*log(x^n) + ((b*log(c) + a)*d^m*m^2 + 2*(b*log(c) + a)*d^m*m + (b*log(c) + a)*d^m - (b*d^m*m + b*d^m)*n)*x*x^m)*dilog(e*x^q) + ((b*d^m*m + b*d^m)*q*x*x^m*log(x^n) + ((b*log(c) + a)*d^m*m - 2*b*d^m*n + (b*log(c) + a)*d^m)*q*x*x^m)*log(-e*x^q + 1))/(m^3 + 3*m^2 + 3*m + 1) - integrate(-((b*d^m*e*m + b*d^m*e)*q^2*e^(m*log(x) + q*log(x))*log(x^n) + ((b*log(c) + a)*d^m*e*m - 2*b*d^m*e*n + (b*log(c) + a)*d^m*e)*q^2*e^(m*log(x) + q*log(x)))/(m^3 + 3*m^2 - (e*m^3 + 3*e*m^2 + 3*e*m + e)*x^q + 3*m + 1), x)","F",0
222,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*log(c*x^n))*polylog(3,e*x^q),x, algorithm=""maxima"")","-\frac{{\left({\left(m^{2} q + 2 \, m q + q\right)} b d^{m} x x^{m} \log\left(x^{n}\right) + {\left({\left(m^{2} q + 2 \, m q + q\right)} a d^{m} + {\left({\left(m^{2} q + 2 \, m q + q\right)} d^{m} \log\left(c\right) - 2 \, {\left(m n q + n q\right)} d^{m}\right)} b\right)} x x^{m}\right)} {\rm Li}_2\left(e x^{q}\right) + {\left({\left(m q^{2} + q^{2}\right)} b d^{m} x x^{m} \log\left(x^{n}\right) + {\left({\left(m q^{2} + q^{2}\right)} a d^{m} - {\left(3 \, d^{m} n q^{2} - {\left(m q^{2} + q^{2}\right)} d^{m} \log\left(c\right)\right)} b\right)} x x^{m}\right)} \log\left(-e x^{q} + 1\right) - {\left({\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} b d^{m} x x^{m} \log\left(x^{n}\right) + {\left({\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} a d^{m} + {\left({\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} d^{m} \log\left(c\right) - {\left(m^{2} n + 2 \, m n + n\right)} d^{m}\right)} b\right)} x x^{m}\right)} {\rm Li}_{3}(e x^{q})}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1} + \int -\frac{{\left(m q^{3} + q^{3}\right)} b d^{m} e e^{\left(m \log\left(x\right) + q \log\left(x\right)\right)} \log\left(x^{n}\right) + {\left({\left(m q^{3} + q^{3}\right)} a d^{m} e - {\left(3 \, d^{m} e n q^{3} - {\left(m q^{3} + q^{3}\right)} d^{m} e \log\left(c\right)\right)} b\right)} e^{\left(m \log\left(x\right) + q \log\left(x\right)\right)}}{m^{4} + 4 \, m^{3} - {\left(m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} e x^{q} + 6 \, m^{2} + 4 \, m + 1}\,{d x}"," ",0,"-(((m^2*q + 2*m*q + q)*b*d^m*x*x^m*log(x^n) + ((m^2*q + 2*m*q + q)*a*d^m + ((m^2*q + 2*m*q + q)*d^m*log(c) - 2*(m*n*q + n*q)*d^m)*b)*x*x^m)*dilog(e*x^q) + ((m*q^2 + q^2)*b*d^m*x*x^m*log(x^n) + ((m*q^2 + q^2)*a*d^m - (3*d^m*n*q^2 - (m*q^2 + q^2)*d^m*log(c))*b)*x*x^m)*log(-e*x^q + 1) - ((m^3 + 3*m^2 + 3*m + 1)*b*d^m*x*x^m*log(x^n) + ((m^3 + 3*m^2 + 3*m + 1)*a*d^m + ((m^3 + 3*m^2 + 3*m + 1)*d^m*log(c) - (m^2*n + 2*m*n + n)*d^m)*b)*x*x^m)*polylog(3, e*x^q))/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1) + integrate(-((m*q^3 + q^3)*b*d^m*e*e^(m*log(x) + q*log(x))*log(x^n) + ((m*q^3 + q^3)*a*d^m*e - (3*d^m*e*n*q^3 - (m*q^3 + q^3)*d^m*e*log(c))*b)*e^(m*log(x) + q*log(x)))/(m^4 + 4*m^3 - (m^4 + 4*m^3 + 6*m^2 + 4*m + 1)*e*x^q + 6*m^2 + 4*m + 1), x)","F",0
223,1,23,0,1.104903," ","integrate(x^2*log(c*(b*x^n)^p),x, algorithm=""maxima"")","-\frac{1}{9} \, n p x^{3} + \frac{1}{3} \, x^{3} \log\left(\left(b x^{n}\right)^{p} c\right)"," ",0,"-1/9*n*p*x^3 + 1/3*x^3*log((b*x^n)^p*c)","A",0
224,1,23,0,1.162917," ","integrate(x*log(c*(b*x^n)^p),x, algorithm=""maxima"")","-\frac{1}{4} \, n p x^{2} + \frac{1}{2} \, x^{2} \log\left(\left(b x^{n}\right)^{p} c\right)"," ",0,"-1/4*n*p*x^2 + 1/2*x^2*log((b*x^n)^p*c)","A",0
225,1,18,0,1.390315," ","integrate(log(c*(b*x^n)^p),x, algorithm=""maxima"")","-n p x + x \log\left(\left(b x^{n}\right)^{p} c\right)"," ",0,"-n*p*x + x*log((b*x^n)^p*c)","A",0
226,1,20,0,1.201460," ","integrate(log(c*(b*x^n)^p)/x,x, algorithm=""maxima"")","\frac{\log\left(\left(b x^{n}\right)^{p} c\right)^{2}}{2 \, n p}"," ",0,"1/2*log((b*x^n)^p*c)^2/(n*p)","A",0
227,1,23,0,1.052823," ","integrate(log(c*(b*x^n)^p)/x^2,x, algorithm=""maxima"")","-\frac{n p}{x} - \frac{\log\left(\left(b x^{n}\right)^{p} c\right)}{x}"," ",0,"-n*p/x - log((b*x^n)^p*c)/x","A",0
228,1,23,0,1.112924," ","integrate(log(c*(b*x^n)^p)/x^3,x, algorithm=""maxima"")","-\frac{n p}{4 \, x^{2}} - \frac{\log\left(\left(b x^{n}\right)^{p} c\right)}{2 \, x^{2}}"," ",0,"-1/4*n*p/x^2 - 1/2*log((b*x^n)^p*c)/x^2","A",0
229,1,23,0,1.253902," ","integrate(log(c*(b*x^n)^p)/x^4,x, algorithm=""maxima"")","-\frac{n p}{9 \, x^{3}} - \frac{\log\left(\left(b x^{n}\right)^{p} c\right)}{3 \, x^{3}}"," ",0,"-1/9*n*p/x^3 - 1/3*log((b*x^n)^p*c)/x^3","A",0
230,1,46,0,1.082157," ","integrate(x^2*log(c*(b*x^n)^p)^2,x, algorithm=""maxima"")","\frac{2}{27} \, n^{2} p^{2} x^{3} - \frac{2}{9} \, n p x^{3} \log\left(\left(b x^{n}\right)^{p} c\right) + \frac{1}{3} \, x^{3} \log\left(\left(b x^{n}\right)^{p} c\right)^{2}"," ",0,"2/27*n^2*p^2*x^3 - 2/9*n*p*x^3*log((b*x^n)^p*c) + 1/3*x^3*log((b*x^n)^p*c)^2","A",0
231,1,46,0,1.137121," ","integrate(x*log(c*(b*x^n)^p)^2,x, algorithm=""maxima"")","\frac{1}{4} \, n^{2} p^{2} x^{2} - \frac{1}{2} \, n p x^{2} \log\left(\left(b x^{n}\right)^{p} c\right) + \frac{1}{2} \, x^{2} \log\left(\left(b x^{n}\right)^{p} c\right)^{2}"," ",0,"1/4*n^2*p^2*x^2 - 1/2*n*p*x^2*log((b*x^n)^p*c) + 1/2*x^2*log((b*x^n)^p*c)^2","A",0
232,1,39,0,1.171039," ","integrate(log(c*(b*x^n)^p)^2,x, algorithm=""maxima"")","2 \, n^{2} p^{2} x - 2 \, n p x \log\left(\left(b x^{n}\right)^{p} c\right) + x \log\left(\left(b x^{n}\right)^{p} c\right)^{2}"," ",0,"2*n^2*p^2*x - 2*n*p*x*log((b*x^n)^p*c) + x*log((b*x^n)^p*c)^2","A",0
233,1,20,0,1.135236," ","integrate(log(c*(b*x^n)^p)^2/x,x, algorithm=""maxima"")","\frac{\log\left(\left(b x^{n}\right)^{p} c\right)^{3}}{3 \, n p}"," ",0,"1/3*log((b*x^n)^p*c)^3/(n*p)","A",0
234,1,46,0,1.142377," ","integrate(log(c*(b*x^n)^p)^2/x^2,x, algorithm=""maxima"")","-\frac{2 \, n^{2} p^{2}}{x} - \frac{2 \, n p \log\left(\left(b x^{n}\right)^{p} c\right)}{x} - \frac{\log\left(\left(b x^{n}\right)^{p} c\right)^{2}}{x}"," ",0,"-2*n^2*p^2/x - 2*n*p*log((b*x^n)^p*c)/x - log((b*x^n)^p*c)^2/x","A",0
235,1,46,0,1.136257," ","integrate(log(c*(b*x^n)^p)^2/x^3,x, algorithm=""maxima"")","-\frac{n^{2} p^{2}}{4 \, x^{2}} - \frac{n p \log\left(\left(b x^{n}\right)^{p} c\right)}{2 \, x^{2}} - \frac{\log\left(\left(b x^{n}\right)^{p} c\right)^{2}}{2 \, x^{2}}"," ",0,"-1/4*n^2*p^2/x^2 - 1/2*n*p*log((b*x^n)^p*c)/x^2 - 1/2*log((b*x^n)^p*c)^2/x^2","A",0
236,1,46,0,1.171326," ","integrate(log(c*(b*x^n)^p)^2/x^4,x, algorithm=""maxima"")","-\frac{2 \, n^{2} p^{2}}{27 \, x^{3}} - \frac{2 \, n p \log\left(\left(b x^{n}\right)^{p} c\right)}{9 \, x^{3}} - \frac{\log\left(\left(b x^{n}\right)^{p} c\right)^{2}}{3 \, x^{3}}"," ",0,"-2/27*n^2*p^2/x^3 - 2/9*n*p*log((b*x^n)^p*c)/x^3 - 1/3*log((b*x^n)^p*c)^2/x^3","A",0
237,1,282,0,1.132739," ","integrate((e*x)^q*(a+b*log(c*(d*x^m)^n))^3,x, algorithm=""maxima"")","-\frac{3 \, a^{2} b e^{q} m n x x^{q}}{{\left(q + 1\right)}^{2}} + \frac{\left(e x\right)^{q + 1} b^{3} \log\left(\left(d x^{m}\right)^{n} c\right)^{3}}{e {\left(q + 1\right)}} + 6 \, {\left(\frac{e^{q} m^{2} n^{2} x x^{q}}{{\left(q + 1\right)}^{3}} - \frac{e^{q} m n x x^{q} \log\left(\left(d x^{m}\right)^{n} c\right)}{{\left(q + 1\right)}^{2}}\right)} a b^{2} - 3 \, {\left(\frac{e^{q} m n x x^{q} \log\left(\left(d x^{m}\right)^{n} c\right)^{2}}{{\left(q + 1\right)}^{2}} + \frac{2 \, {\left(\frac{e^{q + 1} m^{2} n^{2} x x^{q}}{{\left(q + 1\right)}^{3}} - \frac{e^{q + 1} m n x x^{q} \log\left(\left(d x^{m}\right)^{n} c\right)}{{\left(q + 1\right)}^{2}}\right)} m n}{e {\left(q + 1\right)}}\right)} b^{3} + \frac{3 \, \left(e x\right)^{q + 1} a b^{2} \log\left(\left(d x^{m}\right)^{n} c\right)^{2}}{e {\left(q + 1\right)}} + \frac{3 \, \left(e x\right)^{q + 1} a^{2} b \log\left(\left(d x^{m}\right)^{n} c\right)}{e {\left(q + 1\right)}} + \frac{\left(e x\right)^{q + 1} a^{3}}{e {\left(q + 1\right)}}"," ",0,"-3*a^2*b*e^q*m*n*x*x^q/(q + 1)^2 + (e*x)^(q + 1)*b^3*log((d*x^m)^n*c)^3/(e*(q + 1)) + 6*(e^q*m^2*n^2*x*x^q/(q + 1)^3 - e^q*m*n*x*x^q*log((d*x^m)^n*c)/(q + 1)^2)*a*b^2 - 3*(e^q*m*n*x*x^q*log((d*x^m)^n*c)^2/(q + 1)^2 + 2*(e^(q + 1)*m^2*n^2*x*x^q/(q + 1)^3 - e^(q + 1)*m*n*x*x^q*log((d*x^m)^n*c)/(q + 1)^2)*m*n/(e*(q + 1)))*b^3 + 3*(e*x)^(q + 1)*a*b^2*log((d*x^m)^n*c)^2/(e*(q + 1)) + 3*(e*x)^(q + 1)*a^2*b*log((d*x^m)^n*c)/(e*(q + 1)) + (e*x)^(q + 1)*a^3/(e*(q + 1))","B",0
238,1,149,0,1.045153," ","integrate((e*x)^q*(a+b*log(c*(d*x^m)^n))^2,x, algorithm=""maxima"")","-\frac{2 \, a b e^{q} m n x x^{q}}{{\left(q + 1\right)}^{2}} + 2 \, {\left(\frac{e^{q} m^{2} n^{2} x x^{q}}{{\left(q + 1\right)}^{3}} - \frac{e^{q} m n x x^{q} \log\left(\left(d x^{m}\right)^{n} c\right)}{{\left(q + 1\right)}^{2}}\right)} b^{2} + \frac{\left(e x\right)^{q + 1} b^{2} \log\left(\left(d x^{m}\right)^{n} c\right)^{2}}{e {\left(q + 1\right)}} + \frac{2 \, \left(e x\right)^{q + 1} a b \log\left(\left(d x^{m}\right)^{n} c\right)}{e {\left(q + 1\right)}} + \frac{\left(e x\right)^{q + 1} a^{2}}{e {\left(q + 1\right)}}"," ",0,"-2*a*b*e^q*m*n*x*x^q/(q + 1)^2 + 2*(e^q*m^2*n^2*x*x^q/(q + 1)^3 - e^q*m*n*x*x^q*log((d*x^m)^n*c)/(q + 1)^2)*b^2 + (e*x)^(q + 1)*b^2*log((d*x^m)^n*c)^2/(e*(q + 1)) + 2*(e*x)^(q + 1)*a*b*log((d*x^m)^n*c)/(e*(q + 1)) + (e*x)^(q + 1)*a^2/(e*(q + 1))","A",0
239,1,62,0,0.994422," ","integrate((e*x)^q*(a+b*log(c*(d*x^m)^n)),x, algorithm=""maxima"")","-\frac{b e^{q} m n x x^{q}}{{\left(q + 1\right)}^{2}} + \frac{\left(e x\right)^{q + 1} b \log\left(\left(d x^{m}\right)^{n} c\right)}{e {\left(q + 1\right)}} + \frac{\left(e x\right)^{q + 1} a}{e {\left(q + 1\right)}}"," ",0,"-b*e^q*m*n*x*x^q/(q + 1)^2 + (e*x)^(q + 1)*b*log((d*x^m)^n*c)/(e*(q + 1)) + (e*x)^(q + 1)*a/(e*(q + 1))","A",0
240,0,0,0,0.000000," ","integrate((e*x)^q/(a+b*log(c*(d*x^m)^n)),x, algorithm=""maxima"")","\int \frac{\left(e x\right)^{q}}{b \log\left(\left(d x^{m}\right)^{n} c\right) + a}\,{d x}"," ",0,"integrate((e*x)^q/(b*log((d*x^m)^n*c) + a), x)","F",0
241,0,0,0,0.000000," ","integrate((e*x)^q/(a+b*log(c*(d*x^m)^n))^2,x, algorithm=""maxima"")","e^{q} {\left(q + 1\right)} \int \frac{x^{q}}{b^{2} m n \log\left({\left(x^{m}\right)}^{n}\right) + a b m n + {\left(m n^{2} \log\left(d\right) + m n \log\left(c\right)\right)} b^{2}}\,{d x} - \frac{e^{q} x x^{q}}{b^{2} m n \log\left({\left(x^{m}\right)}^{n}\right) + a b m n + {\left(m n^{2} \log\left(d\right) + m n \log\left(c\right)\right)} b^{2}}"," ",0,"e^q*(q + 1)*integrate(x^q/(b^2*m*n*log((x^m)^n) + a*b*m*n + (m*n^2*log(d) + m*n*log(c))*b^2), x) - e^q*x*x^q/(b^2*m*n*log((x^m)^n) + a*b*m*n + (m*n^2*log(d) + m*n*log(c))*b^2)","F",0
242,-2,0,0,0.000000," ","integrate((e*x)^q*(a+b*log(c*(d*x^m)^n))^p,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
243,-2,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(d*x^m)^n))^p,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
244,-2,0,0,0.000000," ","integrate(x*(a+b*log(c*(d*x^m)^n))^p,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
245,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*x^m)^n))^p,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
246,1,33,0,1.245139," ","integrate((a+b*log(c*(d*x^m)^n))^p/x,x, algorithm=""maxima"")","\frac{{\left(b \log\left(\left(d x^{m}\right)^{n} c\right) + a\right)}^{p + 1}}{b m n {\left(p + 1\right)}}"," ",0,"(b*log((d*x^m)^n*c) + a)^(p + 1)/(b*m*n*(p + 1))","A",0
247,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*x^m)^n))^p/x^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
248,-2,0,0,0.000000," ","integrate((a+b*log(c*(d*x^m)^n))^p/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
249,0,0,0,0.000000," ","integrate((a+b*log(c*(d*x^m)^n))/(f*x^2+e),x, algorithm=""maxima"")","b \int \frac{n \log\left(d\right) + \log\left(c\right) + \log\left({\left(x^{m}\right)}^{n}\right)}{f x^{2} + e}\,{d x} + \frac{a \arctan\left(\frac{f x}{\sqrt{e f}}\right)}{\sqrt{e f}}"," ",0,"b*integrate((n*log(d) + log(c) + log((x^m)^n))/(f*x^2 + e), x) + a*arctan(f*x/sqrt(e*f))/sqrt(e*f)","F",0
