1,1,57,0,0.570224," ","integrate(x^3*(e*x+d)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{25} \, b e n x^{5} + \frac{1}{5} \, b e x^{5} \log\left(c x^{n}\right) - \frac{1}{16} \, b d n x^{4} + \frac{1}{5} \, a e x^{5} + \frac{1}{4} \, b d x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a d x^{4}"," ",0,"-1/25*b*e*n*x^5 + 1/5*b*e*x^5*log(c*x^n) - 1/16*b*d*n*x^4 + 1/5*a*e*x^5 + 1/4*b*d*x^4*log(c*x^n) + 1/4*a*d*x^4","A",0
2,1,57,0,0.509226," ","integrate(x^2*(e*x+d)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{16} \, b e n x^{4} + \frac{1}{4} \, b e x^{4} \log\left(c x^{n}\right) - \frac{1}{9} \, b d n x^{3} + \frac{1}{4} \, a e x^{4} + \frac{1}{3} \, b d x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a d x^{3}"," ",0,"-1/16*b*e*n*x^4 + 1/4*b*e*x^4*log(c*x^n) - 1/9*b*d*n*x^3 + 1/4*a*e*x^4 + 1/3*b*d*x^3*log(c*x^n) + 1/3*a*d*x^3","A",0
3,1,57,0,0.513689," ","integrate(x*(e*x+d)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{9} \, b e n x^{3} + \frac{1}{3} \, b e x^{3} \log\left(c x^{n}\right) - \frac{1}{4} \, b d n x^{2} + \frac{1}{3} \, a e x^{3} + \frac{1}{2} \, b d x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a d x^{2}"," ",0,"-1/9*b*e*n*x^3 + 1/3*b*e*x^3*log(c*x^n) - 1/4*b*d*n*x^2 + 1/3*a*e*x^3 + 1/2*b*d*x^2*log(c*x^n) + 1/2*a*d*x^2","A",0
4,1,49,0,0.729223," ","integrate((e*x+d)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{4} \, b e n x^{2} + \frac{1}{2} \, b e x^{2} \log\left(c x^{n}\right) - b d n x + \frac{1}{2} \, a e x^{2} + b d x \log\left(c x^{n}\right) + a d x"," ",0,"-1/4*b*e*n*x^2 + 1/2*b*e*x^2*log(c*x^n) - b*d*n*x + 1/2*a*e*x^2 + b*d*x*log(c*x^n) + a*d*x","A",0
5,1,41,0,0.740499," ","integrate((e*x+d)*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","-b e n x + b e x \log\left(c x^{n}\right) + a e x + \frac{b d \log\left(c x^{n}\right)^{2}}{2 \, n} + a d \log\left(x\right)"," ",0,"-b*e*n*x + b*e*x*log(c*x^n) + a*e*x + 1/2*b*d*log(c*x^n)^2/n + a*d*log(x)","A",0
6,1,49,0,0.828655," ","integrate((e*x+d)*(a+b*log(c*x^n))/x^2,x, algorithm=""maxima"")","\frac{b e \log\left(c x^{n}\right)^{2}}{2 \, n} + a e \log\left(x\right) - \frac{b d n}{x} - \frac{b d \log\left(c x^{n}\right)}{x} - \frac{a d}{x}"," ",0,"1/2*b*e*log(c*x^n)^2/n + a*e*log(x) - b*d*n/x - b*d*log(c*x^n)/x - a*d/x","A",0
7,1,57,0,0.643445," ","integrate((e*x+d)*(a+b*log(c*x^n))/x^3,x, algorithm=""maxima"")","-\frac{b e n}{x} - \frac{b e \log\left(c x^{n}\right)}{x} - \frac{b d n}{4 \, x^{2}} - \frac{a e}{x} - \frac{b d \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{a d}{2 \, x^{2}}"," ",0,"-b*e*n/x - b*e*log(c*x^n)/x - 1/4*b*d*n/x^2 - a*e/x - 1/2*b*d*log(c*x^n)/x^2 - 1/2*a*d/x^2","A",0
8,1,57,0,0.608485," ","integrate((e*x+d)*(a+b*log(c*x^n))/x^4,x, algorithm=""maxima"")","-\frac{b e n}{4 \, x^{2}} - \frac{b e \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{b d n}{9 \, x^{3}} - \frac{a e}{2 \, x^{2}} - \frac{b d \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{a d}{3 \, x^{3}}"," ",0,"-1/4*b*e*n/x^2 - 1/2*b*e*log(c*x^n)/x^2 - 1/9*b*d*n/x^3 - 1/2*a*e/x^2 - 1/3*b*d*log(c*x^n)/x^3 - 1/3*a*d/x^3","A",0
9,1,100,0,0.666631," ","integrate(x^3*(e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{36} \, b e^{2} n x^{6} + \frac{1}{6} \, b e^{2} x^{6} \log\left(c x^{n}\right) - \frac{2}{25} \, b d e n x^{5} + \frac{1}{6} \, a e^{2} x^{6} + \frac{2}{5} \, b d e x^{5} \log\left(c x^{n}\right) - \frac{1}{16} \, b d^{2} n x^{4} + \frac{2}{5} \, a d e x^{5} + \frac{1}{4} \, b d^{2} x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a d^{2} x^{4}"," ",0,"-1/36*b*e^2*n*x^6 + 1/6*b*e^2*x^6*log(c*x^n) - 2/25*b*d*e*n*x^5 + 1/6*a*e^2*x^6 + 2/5*b*d*e*x^5*log(c*x^n) - 1/16*b*d^2*n*x^4 + 2/5*a*d*e*x^5 + 1/4*b*d^2*x^4*log(c*x^n) + 1/4*a*d^2*x^4","A",0
10,1,100,0,0.604034," ","integrate(x^2*(e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{25} \, b e^{2} n x^{5} + \frac{1}{5} \, b e^{2} x^{5} \log\left(c x^{n}\right) - \frac{1}{8} \, b d e n x^{4} + \frac{1}{5} \, a e^{2} x^{5} + \frac{1}{2} \, b d e x^{4} \log\left(c x^{n}\right) - \frac{1}{9} \, b d^{2} n x^{3} + \frac{1}{2} \, a d e x^{4} + \frac{1}{3} \, b d^{2} x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a d^{2} x^{3}"," ",0,"-1/25*b*e^2*n*x^5 + 1/5*b*e^2*x^5*log(c*x^n) - 1/8*b*d*e*n*x^4 + 1/5*a*e^2*x^5 + 1/2*b*d*e*x^4*log(c*x^n) - 1/9*b*d^2*n*x^3 + 1/2*a*d*e*x^4 + 1/3*b*d^2*x^3*log(c*x^n) + 1/3*a*d^2*x^3","A",0
11,1,100,0,0.757212," ","integrate(x*(e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{16} \, b e^{2} n x^{4} + \frac{1}{4} \, b e^{2} x^{4} \log\left(c x^{n}\right) - \frac{2}{9} \, b d e n x^{3} + \frac{1}{4} \, a e^{2} x^{4} + \frac{2}{3} \, b d e x^{3} \log\left(c x^{n}\right) - \frac{1}{4} \, b d^{2} n x^{2} + \frac{2}{3} \, a d e x^{3} + \frac{1}{2} \, b d^{2} x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a d^{2} x^{2}"," ",0,"-1/16*b*e^2*n*x^4 + 1/4*b*e^2*x^4*log(c*x^n) - 2/9*b*d*e*n*x^3 + 1/4*a*e^2*x^4 + 2/3*b*d*e*x^3*log(c*x^n) - 1/4*b*d^2*n*x^2 + 2/3*a*d*e*x^3 + 1/2*b*d^2*x^2*log(c*x^n) + 1/2*a*d^2*x^2","A",0
12,1,90,0,0.871682," ","integrate((e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{9} \, b e^{2} n x^{3} + \frac{1}{3} \, b e^{2} x^{3} \log\left(c x^{n}\right) - \frac{1}{2} \, b d e n x^{2} + \frac{1}{3} \, a e^{2} x^{3} + b d e x^{2} \log\left(c x^{n}\right) - b d^{2} n x + a d e x^{2} + b d^{2} x \log\left(c x^{n}\right) + a d^{2} x"," ",0,"-1/9*b*e^2*n*x^3 + 1/3*b*e^2*x^3*log(c*x^n) - 1/2*b*d*e*n*x^2 + 1/3*a*e^2*x^3 + b*d*e*x^2*log(c*x^n) - b*d^2*n*x + a*d*e*x^2 + b*d^2*x*log(c*x^n) + a*d^2*x","A",0
13,1,84,0,0.595696," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","-\frac{1}{4} \, b e^{2} n x^{2} + \frac{1}{2} \, b e^{2} x^{2} \log\left(c x^{n}\right) - 2 \, b d e n x + \frac{1}{2} \, a e^{2} x^{2} + 2 \, b d e x \log\left(c x^{n}\right) + 2 \, a d e x + \frac{b d^{2} \log\left(c x^{n}\right)^{2}}{2 \, n} + a d^{2} \log\left(x\right)"," ",0,"-1/4*b*e^2*n*x^2 + 1/2*b*e^2*x^2*log(c*x^n) - 2*b*d*e*n*x + 1/2*a*e^2*x^2 + 2*b*d*e*x*log(c*x^n) + 2*a*d*e*x + 1/2*b*d^2*log(c*x^n)^2/n + a*d^2*log(x)","A",0
14,1,83,0,0.528852," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^2,x, algorithm=""maxima"")","-b e^{2} n x + b e^{2} x \log\left(c x^{n}\right) + a e^{2} x + \frac{b d e \log\left(c x^{n}\right)^{2}}{n} + 2 \, a d e \log\left(x\right) - \frac{b d^{2} n}{x} - \frac{b d^{2} \log\left(c x^{n}\right)}{x} - \frac{a d^{2}}{x}"," ",0,"-b*e^2*n*x + b*e^2*x*log(c*x^n) + a*e^2*x + b*d*e*log(c*x^n)^2/n + 2*a*d*e*log(x) - b*d^2*n/x - b*d^2*log(c*x^n)/x - a*d^2/x","A",0
15,1,90,0,0.506792," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^3,x, algorithm=""maxima"")","\frac{b e^{2} \log\left(c x^{n}\right)^{2}}{2 \, n} + a e^{2} \log\left(x\right) - \frac{2 \, b d e n}{x} - \frac{2 \, b d e \log\left(c x^{n}\right)}{x} - \frac{b d^{2} n}{4 \, x^{2}} - \frac{2 \, a d e}{x} - \frac{b d^{2} \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{a d^{2}}{2 \, x^{2}}"," ",0,"1/2*b*e^2*log(c*x^n)^2/n + a*e^2*log(x) - 2*b*d*e*n/x - 2*b*d*e*log(c*x^n)/x - 1/4*b*d^2*n/x^2 - 2*a*d*e/x - 1/2*b*d^2*log(c*x^n)/x^2 - 1/2*a*d^2/x^2","A",0
16,1,100,0,0.595671," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^4,x, algorithm=""maxima"")","-\frac{b e^{2} n}{x} - \frac{b e^{2} \log\left(c x^{n}\right)}{x} - \frac{b d e n}{2 \, x^{2}} - \frac{a e^{2}}{x} - \frac{b d e \log\left(c x^{n}\right)}{x^{2}} - \frac{b d^{2} n}{9 \, x^{3}} - \frac{a d e}{x^{2}} - \frac{b d^{2} \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{a d^{2}}{3 \, x^{3}}"," ",0,"-b*e^2*n/x - b*e^2*log(c*x^n)/x - 1/2*b*d*e*n/x^2 - a*e^2/x - b*d*e*log(c*x^n)/x^2 - 1/9*b*d^2*n/x^3 - a*d*e/x^2 - 1/3*b*d^2*log(c*x^n)/x^3 - 1/3*a*d^2/x^3","A",0
17,1,100,0,0.639621," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^5,x, algorithm=""maxima"")","-\frac{b e^{2} n}{4 \, x^{2}} - \frac{b e^{2} \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{2 \, b d e n}{9 \, x^{3}} - \frac{a e^{2}}{2 \, x^{2}} - \frac{2 \, b d e \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{b d^{2} n}{16 \, x^{4}} - \frac{2 \, a d e}{3 \, x^{3}} - \frac{b d^{2} \log\left(c x^{n}\right)}{4 \, x^{4}} - \frac{a d^{2}}{4 \, x^{4}}"," ",0,"-1/4*b*e^2*n/x^2 - 1/2*b*e^2*log(c*x^n)/x^2 - 2/9*b*d*e*n/x^3 - 1/2*a*e^2/x^2 - 2/3*b*d*e*log(c*x^n)/x^3 - 1/16*b*d^2*n/x^4 - 2/3*a*d*e/x^3 - 1/4*b*d^2*log(c*x^n)/x^4 - 1/4*a*d^2/x^4","A",0
18,1,100,0,0.618337," ","integrate((e*x+d)^2*(a+b*log(c*x^n))/x^6,x, algorithm=""maxima"")","-\frac{b e^{2} n}{9 \, x^{3}} - \frac{b e^{2} \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{b d e n}{8 \, x^{4}} - \frac{a e^{2}}{3 \, x^{3}} - \frac{b d e \log\left(c x^{n}\right)}{2 \, x^{4}} - \frac{b d^{2} n}{25 \, x^{5}} - \frac{a d e}{2 \, x^{4}} - \frac{b d^{2} \log\left(c x^{n}\right)}{5 \, x^{5}} - \frac{a d^{2}}{5 \, x^{5}}"," ",0,"-1/9*b*e^2*n/x^3 - 1/3*b*e^2*log(c*x^n)/x^3 - 1/8*b*d*e*n/x^4 - 1/3*a*e^2/x^3 - 1/2*b*d*e*log(c*x^n)/x^4 - 1/25*b*d^2*n/x^5 - 1/2*a*d*e/x^4 - 1/5*b*d^2*log(c*x^n)/x^5 - 1/5*a*d^2/x^5","A",0
19,1,143,0,0.858906," ","integrate(x^3*(e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{49} \, b e^{3} n x^{7} + \frac{1}{7} \, b e^{3} x^{7} \log\left(c x^{n}\right) - \frac{1}{12} \, b d e^{2} n x^{6} + \frac{1}{7} \, a e^{3} x^{7} + \frac{1}{2} \, b d e^{2} x^{6} \log\left(c x^{n}\right) - \frac{3}{25} \, b d^{2} e n x^{5} + \frac{1}{2} \, a d e^{2} x^{6} + \frac{3}{5} \, b d^{2} e x^{5} \log\left(c x^{n}\right) - \frac{1}{16} \, b d^{3} n x^{4} + \frac{3}{5} \, a d^{2} e x^{5} + \frac{1}{4} \, b d^{3} x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a d^{3} x^{4}"," ",0,"-1/49*b*e^3*n*x^7 + 1/7*b*e^3*x^7*log(c*x^n) - 1/12*b*d*e^2*n*x^6 + 1/7*a*e^3*x^7 + 1/2*b*d*e^2*x^6*log(c*x^n) - 3/25*b*d^2*e*n*x^5 + 1/2*a*d*e^2*x^6 + 3/5*b*d^2*e*x^5*log(c*x^n) - 1/16*b*d^3*n*x^4 + 3/5*a*d^2*e*x^5 + 1/4*b*d^3*x^4*log(c*x^n) + 1/4*a*d^3*x^4","A",0
20,1,143,0,0.603501," ","integrate(x^2*(e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{36} \, b e^{3} n x^{6} + \frac{1}{6} \, b e^{3} x^{6} \log\left(c x^{n}\right) - \frac{3}{25} \, b d e^{2} n x^{5} + \frac{1}{6} \, a e^{3} x^{6} + \frac{3}{5} \, b d e^{2} x^{5} \log\left(c x^{n}\right) - \frac{3}{16} \, b d^{2} e n x^{4} + \frac{3}{5} \, a d e^{2} x^{5} + \frac{3}{4} \, b d^{2} e x^{4} \log\left(c x^{n}\right) - \frac{1}{9} \, b d^{3} n x^{3} + \frac{3}{4} \, a d^{2} e x^{4} + \frac{1}{3} \, b d^{3} x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a d^{3} x^{3}"," ",0,"-1/36*b*e^3*n*x^6 + 1/6*b*e^3*x^6*log(c*x^n) - 3/25*b*d*e^2*n*x^5 + 1/6*a*e^3*x^6 + 3/5*b*d*e^2*x^5*log(c*x^n) - 3/16*b*d^2*e*n*x^4 + 3/5*a*d*e^2*x^5 + 3/4*b*d^2*e*x^4*log(c*x^n) - 1/9*b*d^3*n*x^3 + 3/4*a*d^2*e*x^4 + 1/3*b*d^3*x^3*log(c*x^n) + 1/3*a*d^3*x^3","A",0
21,1,141,0,0.744179," ","integrate(x*(e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{25} \, b e^{3} n x^{5} + \frac{1}{5} \, b e^{3} x^{5} \log\left(c x^{n}\right) - \frac{3}{16} \, b d e^{2} n x^{4} + \frac{1}{5} \, a e^{3} x^{5} + \frac{3}{4} \, b d e^{2} x^{4} \log\left(c x^{n}\right) - \frac{1}{3} \, b d^{2} e n x^{3} + \frac{3}{4} \, a d e^{2} x^{4} + b d^{2} e x^{3} \log\left(c x^{n}\right) - \frac{1}{4} \, b d^{3} n x^{2} + a d^{2} e x^{3} + \frac{1}{2} \, b d^{3} x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a d^{3} x^{2}"," ",0,"-1/25*b*e^3*n*x^5 + 1/5*b*e^3*x^5*log(c*x^n) - 3/16*b*d*e^2*n*x^4 + 1/5*a*e^3*x^5 + 3/4*b*d*e^2*x^4*log(c*x^n) - 1/3*b*d^2*e*n*x^3 + 3/4*a*d*e^2*x^4 + b*d^2*e*x^3*log(c*x^n) - 1/4*b*d^3*n*x^2 + a*d^2*e*x^3 + 1/2*b*d^3*x^2*log(c*x^n) + 1/2*a*d^3*x^2","A",0
22,1,133,0,0.697202," ","integrate((e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{16} \, b e^{3} n x^{4} + \frac{1}{4} \, b e^{3} x^{4} \log\left(c x^{n}\right) - \frac{1}{3} \, b d e^{2} n x^{3} + \frac{1}{4} \, a e^{3} x^{4} + b d e^{2} x^{3} \log\left(c x^{n}\right) - \frac{3}{4} \, b d^{2} e n x^{2} + a d e^{2} x^{3} + \frac{3}{2} \, b d^{2} e x^{2} \log\left(c x^{n}\right) - b d^{3} n x + \frac{3}{2} \, a d^{2} e x^{2} + b d^{3} x \log\left(c x^{n}\right) + a d^{3} x"," ",0,"-1/16*b*e^3*n*x^4 + 1/4*b*e^3*x^4*log(c*x^n) - 1/3*b*d*e^2*n*x^3 + 1/4*a*e^3*x^4 + b*d*e^2*x^3*log(c*x^n) - 3/4*b*d^2*e*n*x^2 + a*d*e^2*x^3 + 3/2*b*d^2*e*x^2*log(c*x^n) - b*d^3*n*x + 3/2*a*d^2*e*x^2 + b*d^3*x*log(c*x^n) + a*d^3*x","A",0
23,1,127,0,0.628668," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","-\frac{1}{9} \, b e^{3} n x^{3} + \frac{1}{3} \, b e^{3} x^{3} \log\left(c x^{n}\right) - \frac{3}{4} \, b d e^{2} n x^{2} + \frac{1}{3} \, a e^{3} x^{3} + \frac{3}{2} \, b d e^{2} x^{2} \log\left(c x^{n}\right) - 3 \, b d^{2} e n x + \frac{3}{2} \, a d e^{2} x^{2} + 3 \, b d^{2} e x \log\left(c x^{n}\right) + 3 \, a d^{2} e x + \frac{b d^{3} \log\left(c x^{n}\right)^{2}}{2 \, n} + a d^{3} \log\left(x\right)"," ",0,"-1/9*b*e^3*n*x^3 + 1/3*b*e^3*x^3*log(c*x^n) - 3/4*b*d*e^2*n*x^2 + 1/3*a*e^3*x^3 + 3/2*b*d*e^2*x^2*log(c*x^n) - 3*b*d^2*e*n*x + 3/2*a*d*e^2*x^2 + 3*b*d^2*e*x*log(c*x^n) + 3*a*d^2*e*x + 1/2*b*d^3*log(c*x^n)^2/n + a*d^3*log(x)","A",0
24,1,127,0,0.566282," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^2,x, algorithm=""maxima"")","-\frac{1}{4} \, b e^{3} n x^{2} + \frac{1}{2} \, b e^{3} x^{2} \log\left(c x^{n}\right) - 3 \, b d e^{2} n x + \frac{1}{2} \, a e^{3} x^{2} + 3 \, b d e^{2} x \log\left(c x^{n}\right) + 3 \, a d e^{2} x + \frac{3 \, b d^{2} e \log\left(c x^{n}\right)^{2}}{2 \, n} + 3 \, a d^{2} e \log\left(x\right) - \frac{b d^{3} n}{x} - \frac{b d^{3} \log\left(c x^{n}\right)}{x} - \frac{a d^{3}}{x}"," ",0,"-1/4*b*e^3*n*x^2 + 1/2*b*e^3*x^2*log(c*x^n) - 3*b*d*e^2*n*x + 1/2*a*e^3*x^2 + 3*b*d*e^2*x*log(c*x^n) + 3*a*d*e^2*x + 3/2*b*d^2*e*log(c*x^n)^2/n + 3*a*d^2*e*log(x) - b*d^3*n/x - b*d^3*log(c*x^n)/x - a*d^3/x","A",0
25,1,125,0,0.630280," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^3,x, algorithm=""maxima"")","-b e^{3} n x + b e^{3} x \log\left(c x^{n}\right) + a e^{3} x + \frac{3 \, b d e^{2} \log\left(c x^{n}\right)^{2}}{2 \, n} + 3 \, a d e^{2} \log\left(x\right) - \frac{3 \, b d^{2} e n}{x} - \frac{3 \, b d^{2} e \log\left(c x^{n}\right)}{x} - \frac{b d^{3} n}{4 \, x^{2}} - \frac{3 \, a d^{2} e}{x} - \frac{b d^{3} \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{a d^{3}}{2 \, x^{2}}"," ",0,"-b*e^3*n*x + b*e^3*x*log(c*x^n) + a*e^3*x + 3/2*b*d*e^2*log(c*x^n)^2/n + 3*a*d*e^2*log(x) - 3*b*d^2*e*n/x - 3*b*d^2*e*log(c*x^n)/x - 1/4*b*d^3*n/x^2 - 3*a*d^2*e/x - 1/2*b*d^3*log(c*x^n)/x^2 - 1/2*a*d^3/x^2","A",0
26,1,133,0,0.616003," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^4,x, algorithm=""maxima"")","\frac{b e^{3} \log\left(c x^{n}\right)^{2}}{2 \, n} + a e^{3} \log\left(x\right) - \frac{3 \, b d e^{2} n}{x} - \frac{3 \, b d e^{2} \log\left(c x^{n}\right)}{x} - \frac{3 \, b d^{2} e n}{4 \, x^{2}} - \frac{3 \, a d e^{2}}{x} - \frac{3 \, b d^{2} e \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{b d^{3} n}{9 \, x^{3}} - \frac{3 \, a d^{2} e}{2 \, x^{2}} - \frac{b d^{3} \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{a d^{3}}{3 \, x^{3}}"," ",0,"1/2*b*e^3*log(c*x^n)^2/n + a*e^3*log(x) - 3*b*d*e^2*n/x - 3*b*d*e^2*log(c*x^n)/x - 3/4*b*d^2*e*n/x^2 - 3*a*d*e^2/x - 3/2*b*d^2*e*log(c*x^n)/x^2 - 1/9*b*d^3*n/x^3 - 3/2*a*d^2*e/x^2 - 1/3*b*d^3*log(c*x^n)/x^3 - 1/3*a*d^3/x^3","A",0
27,1,143,0,0.668339," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^5,x, algorithm=""maxima"")","-\frac{b e^{3} n}{x} - \frac{b e^{3} \log\left(c x^{n}\right)}{x} - \frac{3 \, b d e^{2} n}{4 \, x^{2}} - \frac{a e^{3}}{x} - \frac{3 \, b d e^{2} \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{b d^{2} e n}{3 \, x^{3}} - \frac{3 \, a d e^{2}}{2 \, x^{2}} - \frac{b d^{2} e \log\left(c x^{n}\right)}{x^{3}} - \frac{b d^{3} n}{16 \, x^{4}} - \frac{a d^{2} e}{x^{3}} - \frac{b d^{3} \log\left(c x^{n}\right)}{4 \, x^{4}} - \frac{a d^{3}}{4 \, x^{4}}"," ",0,"-b*e^3*n/x - b*e^3*log(c*x^n)/x - 3/4*b*d*e^2*n/x^2 - a*e^3/x - 3/2*b*d*e^2*log(c*x^n)/x^2 - 1/3*b*d^2*e*n/x^3 - 3/2*a*d*e^2/x^2 - b*d^2*e*log(c*x^n)/x^3 - 1/16*b*d^3*n/x^4 - a*d^2*e/x^3 - 1/4*b*d^3*log(c*x^n)/x^4 - 1/4*a*d^3/x^4","A",0
28,1,143,0,0.532731," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^6,x, algorithm=""maxima"")","-\frac{b e^{3} n}{4 \, x^{2}} - \frac{b e^{3} \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{b d e^{2} n}{3 \, x^{3}} - \frac{a e^{3}}{2 \, x^{2}} - \frac{b d e^{2} \log\left(c x^{n}\right)}{x^{3}} - \frac{3 \, b d^{2} e n}{16 \, x^{4}} - \frac{a d e^{2}}{x^{3}} - \frac{3 \, b d^{2} e \log\left(c x^{n}\right)}{4 \, x^{4}} - \frac{b d^{3} n}{25 \, x^{5}} - \frac{3 \, a d^{2} e}{4 \, x^{4}} - \frac{b d^{3} \log\left(c x^{n}\right)}{5 \, x^{5}} - \frac{a d^{3}}{5 \, x^{5}}"," ",0,"-1/4*b*e^3*n/x^2 - 1/2*b*e^3*log(c*x^n)/x^2 - 1/3*b*d*e^2*n/x^3 - 1/2*a*e^3/x^2 - b*d*e^2*log(c*x^n)/x^3 - 3/16*b*d^2*e*n/x^4 - a*d*e^2/x^3 - 3/4*b*d^2*e*log(c*x^n)/x^4 - 1/25*b*d^3*n/x^5 - 3/4*a*d^2*e/x^4 - 1/5*b*d^3*log(c*x^n)/x^5 - 1/5*a*d^3/x^5","A",0
29,1,143,0,0.612799," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^7,x, algorithm=""maxima"")","-\frac{b e^{3} n}{9 \, x^{3}} - \frac{b e^{3} \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{3 \, b d e^{2} n}{16 \, x^{4}} - \frac{a e^{3}}{3 \, x^{3}} - \frac{3 \, b d e^{2} \log\left(c x^{n}\right)}{4 \, x^{4}} - \frac{3 \, b d^{2} e n}{25 \, x^{5}} - \frac{3 \, a d e^{2}}{4 \, x^{4}} - \frac{3 \, b d^{2} e \log\left(c x^{n}\right)}{5 \, x^{5}} - \frac{b d^{3} n}{36 \, x^{6}} - \frac{3 \, a d^{2} e}{5 \, x^{5}} - \frac{b d^{3} \log\left(c x^{n}\right)}{6 \, x^{6}} - \frac{a d^{3}}{6 \, x^{6}}"," ",0,"-1/9*b*e^3*n/x^3 - 1/3*b*e^3*log(c*x^n)/x^3 - 3/16*b*d*e^2*n/x^4 - 1/3*a*e^3/x^3 - 3/4*b*d*e^2*log(c*x^n)/x^4 - 3/25*b*d^2*e*n/x^5 - 3/4*a*d*e^2/x^4 - 3/5*b*d^2*e*log(c*x^n)/x^5 - 1/36*b*d^3*n/x^6 - 3/5*a*d^2*e/x^5 - 1/6*b*d^3*log(c*x^n)/x^6 - 1/6*a*d^3/x^6","A",0
30,1,143,0,0.566165," ","integrate((e*x+d)^3*(a+b*log(c*x^n))/x^8,x, algorithm=""maxima"")","-\frac{b e^{3} n}{16 \, x^{4}} - \frac{b e^{3} \log\left(c x^{n}\right)}{4 \, x^{4}} - \frac{3 \, b d e^{2} n}{25 \, x^{5}} - \frac{a e^{3}}{4 \, x^{4}} - \frac{3 \, b d e^{2} \log\left(c x^{n}\right)}{5 \, x^{5}} - \frac{b d^{2} e n}{12 \, x^{6}} - \frac{3 \, a d e^{2}}{5 \, x^{5}} - \frac{b d^{2} e \log\left(c x^{n}\right)}{2 \, x^{6}} - \frac{b d^{3} n}{49 \, x^{7}} - \frac{a d^{2} e}{2 \, x^{6}} - \frac{b d^{3} \log\left(c x^{n}\right)}{7 \, x^{7}} - \frac{a d^{3}}{7 \, x^{7}}"," ",0,"-1/16*b*e^3*n/x^4 - 1/4*b*e^3*log(c*x^n)/x^4 - 3/25*b*d*e^2*n/x^5 - 1/4*a*e^3/x^4 - 3/5*b*d*e^2*log(c*x^n)/x^5 - 1/12*b*d^2*e*n/x^6 - 3/5*a*d*e^2/x^5 - 1/2*b*d^2*e*log(c*x^n)/x^6 - 1/49*b*d^3*n/x^7 - 1/2*a*d^2*e/x^6 - 1/7*b*d^3*log(c*x^n)/x^7 - 1/7*a*d^3/x^7","A",0
31,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d),x, algorithm=""maxima"")","-\frac{1}{6} \, a {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} + b \int \frac{x^{3} \log\left(c\right) + x^{3} \log\left(x^{n}\right)}{e x + d}\,{d x}"," ",0,"-1/6*a*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) + b*integrate((x^3*log(c) + x^3*log(x^n))/(e*x + d), x)","F",0
32,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + b \int \frac{x^{2} \log\left(c\right) + x^{2} \log\left(x^{n}\right)}{e x + d}\,{d x}"," ",0,"1/2*a*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + b*integrate((x^2*log(c) + x^2*log(x^n))/(e*x + d), x)","F",0
33,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(e*x+d),x, algorithm=""maxima"")","a {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + b \int \frac{x \log\left(c\right) + x \log\left(x^{n}\right)}{e x + d}\,{d x}"," ",0,"a*(x/e - d*log(e*x + d)/e^2) + b*integrate((x*log(c) + x*log(x^n))/(e*x + d), x)","F",0
34,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x+d),x, algorithm=""maxima"")","b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x + d}\,{d x} + \frac{a \log\left(e x + d\right)}{e}"," ",0,"b*integrate((log(c) + log(x^n))/(e*x + d), x) + a*log(e*x + d)/e","F",0
35,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d),x, algorithm=""maxima"")","-a {\left(\frac{\log\left(e x + d\right)}{d} - \frac{\log\left(x\right)}{d}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x^{2} + d x}\,{d x}"," ",0,"-a*(log(e*x + d)/d - log(x)/d) + b*integrate((log(c) + log(x^n))/(e*x^2 + d*x), x)","F",0
36,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d),x, algorithm=""maxima"")","a {\left(\frac{e \log\left(e x + d\right)}{d^{2}} - \frac{e \log\left(x\right)}{d^{2}} - \frac{1}{d x}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x^{3} + d x^{2}}\,{d x}"," ",0,"a*(e*log(e*x + d)/d^2 - e*log(x)/d^2 - 1/(d*x)) + b*integrate((log(c) + log(x^n))/(e*x^3 + d*x^2), x)","F",0
37,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d),x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{2 \, e^{2} \log\left(e x + d\right)}{d^{3}} - \frac{2 \, e^{2} \log\left(x\right)}{d^{3}} - \frac{2 \, e x - d}{d^{2} x^{2}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x^{4} + d x^{3}}\,{d x}"," ",0,"-1/2*a*(2*e^2*log(e*x + d)/d^3 - 2*e^2*log(x)/d^3 - (2*e*x - d)/(d^2*x^2)) + b*integrate((log(c) + log(x^n))/(e*x^4 + d*x^3), x)","F",0
38,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x+d),x, algorithm=""maxima"")","\frac{1}{6} \, a {\left(\frac{6 \, e^{3} \log\left(e x + d\right)}{d^{4}} - \frac{6 \, e^{3} \log\left(x\right)}{d^{4}} - \frac{6 \, e^{2} x^{2} - 3 \, d e x + 2 \, d^{2}}{d^{3} x^{3}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x^{5} + d x^{4}}\,{d x}"," ",0,"1/6*a*(6*e^3*log(e*x + d)/d^4 - 6*e^3*log(x)/d^4 - (6*e^2*x^2 - 3*d*e*x + 2*d^2)/(d^3*x^3)) + b*integrate((log(c) + log(x^n))/(e*x^5 + d*x^4), x)","F",0
39,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{2 \, d^{3}}{e^{5} x + d e^{4}} + \frac{6 \, d^{2} \log\left(e x + d\right)}{e^{4}} + \frac{e x^{2} - 4 \, d x}{e^{3}}\right)} a + b \int \frac{x^{3} \log\left(c\right) + x^{3} \log\left(x^{n}\right)}{e^{2} x^{2} + 2 \, d e x + d^{2}}\,{d x}"," ",0,"1/2*(2*d^3/(e^5*x + d*e^4) + 6*d^2*log(e*x + d)/e^4 + (e*x^2 - 4*d*x)/e^3)*a + b*integrate((x^3*log(c) + x^3*log(x^n))/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
40,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""maxima"")","-a {\left(\frac{d^{2}}{e^{4} x + d e^{3}} - \frac{x}{e^{2}} + \frac{2 \, d \log\left(e x + d\right)}{e^{3}}\right)} + b \int \frac{x^{2} \log\left(c\right) + x^{2} \log\left(x^{n}\right)}{e^{2} x^{2} + 2 \, d e x + d^{2}}\,{d x}"," ",0,"-a*(d^2/(e^4*x + d*e^3) - x/e^2 + 2*d*log(e*x + d)/e^3) + b*integrate((x^2*log(c) + x^2*log(x^n))/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
41,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""maxima"")","a {\left(\frac{d}{e^{3} x + d e^{2}} + \frac{\log\left(e x + d\right)}{e^{2}}\right)} + b \int \frac{x \log\left(c\right) + x \log\left(x^{n}\right)}{e^{2} x^{2} + 2 \, d e x + d^{2}}\,{d x}"," ",0,"a*(d/(e^3*x + d*e^2) + log(e*x + d)/e^2) + b*integrate((x*log(c) + x*log(x^n))/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
42,1,63,0,0.535027," ","integrate((a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""maxima"")","-b n {\left(\frac{\log\left(e x + d\right)}{d e} - \frac{\log\left(x\right)}{d e}\right)} - \frac{b \log\left(c x^{n}\right)}{e^{2} x + d e} - \frac{a}{e^{2} x + d e}"," ",0,"-b*n*(log(e*x + d)/(d*e) - log(x)/(d*e)) - b*log(c*x^n)/(e^2*x + d*e) - a/(e^2*x + d*e)","A",0
43,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^2,x, algorithm=""maxima"")","a {\left(\frac{1}{d e x + d^{2}} - \frac{\log\left(e x + d\right)}{d^{2}} + \frac{\log\left(x\right)}{d^{2}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{2} x^{3} + 2 \, d e x^{2} + d^{2} x}\,{d x}"," ",0,"a*(1/(d*e*x + d^2) - log(e*x + d)/d^2 + log(x)/d^2) + b*integrate((log(c) + log(x^n))/(e^2*x^3 + 2*d*e*x^2 + d^2*x), x)","F",0
44,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^2,x, algorithm=""maxima"")","-a {\left(\frac{2 \, e x + d}{d^{2} e x^{2} + d^{3} x} - \frac{2 \, e \log\left(e x + d\right)}{d^{3}} + \frac{2 \, e \log\left(x\right)}{d^{3}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{2} x^{4} + 2 \, d e x^{3} + d^{2} x^{2}}\,{d x}"," ",0,"-a*((2*e*x + d)/(d^2*e*x^2 + d^3*x) - 2*e*log(e*x + d)/d^3 + 2*e*log(x)/d^3) + b*integrate((log(c) + log(x^n))/(e^2*x^4 + 2*d*e*x^3 + d^2*x^2), x)","F",0
45,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{6 \, e^{2} x^{2} + 3 \, d e x - d^{2}}{d^{3} e x^{3} + d^{4} x^{2}} - \frac{6 \, e^{2} \log\left(e x + d\right)}{d^{4}} + \frac{6 \, e^{2} \log\left(x\right)}{d^{4}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{2} x^{5} + 2 \, d e x^{4} + d^{2} x^{3}}\,{d x}"," ",0,"1/2*a*((6*e^2*x^2 + 3*d*e*x - d^2)/(d^3*e*x^3 + d^4*x^2) - 6*e^2*log(e*x + d)/d^4 + 6*e^2*log(x)/d^4) + b*integrate((log(c) + log(x^n))/(e^2*x^5 + 2*d*e*x^4 + d^2*x^3), x)","F",0
46,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{6 \, d^{2} e x + 5 \, d^{3}}{e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}} - \frac{2 \, x}{e^{3}} + \frac{6 \, d \log\left(e x + d\right)}{e^{4}}\right)} + b \int \frac{x^{3} \log\left(c\right) + x^{3} \log\left(x^{n}\right)}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}\,{d x}"," ",0,"-1/2*a*((6*d^2*e*x + 5*d^3)/(e^6*x^2 + 2*d*e^5*x + d^2*e^4) - 2*x/e^3 + 6*d*log(e*x + d)/e^4) + b*integrate((x^3*log(c) + x^3*log(x^n))/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
47,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{4 \, d e x + 3 \, d^{2}}{e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}} + \frac{2 \, \log\left(e x + d\right)}{e^{3}}\right)} + b \int \frac{x^{2} \log\left(c\right) + x^{2} \log\left(x^{n}\right)}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}\,{d x}"," ",0,"1/2*a*((4*d*e*x + 3*d^2)/(e^5*x^2 + 2*d*e^4*x + d^2*e^3) + 2*log(e*x + d)/e^3) + b*integrate((x^2*log(c) + x^2*log(x^n))/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
48,1,114,0,0.605004," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{1}{2} \, b n {\left(\frac{1}{e^{3} x + d e^{2}} + \frac{\log\left(e x + d\right)}{d e^{2}} - \frac{\log\left(x\right)}{d e^{2}}\right)} - \frac{{\left(2 \, e x + d\right)} b \log\left(c x^{n}\right)}{2 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}} - \frac{{\left(2 \, e x + d\right)} a}{2 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}}"," ",0,"-1/2*b*n*(1/(e^3*x + d*e^2) + log(e*x + d)/(d*e^2) - log(x)/(d*e^2)) - 1/2*(2*e*x + d)*b*log(c*x^n)/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) - 1/2*(2*e*x + d)*a/(e^4*x^2 + 2*d*e^3*x + d^2*e^2)","B",0
49,1,99,0,0.560894," ","integrate((a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""maxima"")","\frac{1}{2} \, b n {\left(\frac{1}{d e^{2} x + d^{2} e} - \frac{\log\left(e x + d\right)}{d^{2} e} + \frac{\log\left(x\right)}{d^{2} e}\right)} - \frac{b \log\left(c x^{n}\right)}{2 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}} - \frac{a}{2 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}}"," ",0,"1/2*b*n*(1/(d*e^2*x + d^2*e) - log(e*x + d)/(d^2*e) + log(x)/(d^2*e)) - 1/2*b*log(c*x^n)/(e^3*x^2 + 2*d*e^2*x + d^2*e) - 1/2*a/(e^3*x^2 + 2*d*e^2*x + d^2*e)","A",0
50,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^3,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{2 \, e x + 3 \, d}{d^{2} e^{2} x^{2} + 2 \, d^{3} e x + d^{4}} - \frac{2 \, \log\left(e x + d\right)}{d^{3}} + \frac{2 \, \log\left(x\right)}{d^{3}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{3} x^{4} + 3 \, d e^{2} x^{3} + 3 \, d^{2} e x^{2} + d^{3} x}\,{d x}"," ",0,"1/2*a*((2*e*x + 3*d)/(d^2*e^2*x^2 + 2*d^3*e*x + d^4) - 2*log(e*x + d)/d^3 + 2*log(x)/d^3) + b*integrate((log(c) + log(x^n))/(e^3*x^4 + 3*d*e^2*x^3 + 3*d^2*e*x^2 + d^3*x), x)","F",0
51,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{6 \, e^{2} x^{2} + 9 \, d e x + 2 \, d^{2}}{d^{3} e^{2} x^{3} + 2 \, d^{4} e x^{2} + d^{5} x} - \frac{6 \, e \log\left(e x + d\right)}{d^{4}} + \frac{6 \, e \log\left(x\right)}{d^{4}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{3} x^{5} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{3} + d^{3} x^{2}}\,{d x}"," ",0,"-1/2*a*((6*e^2*x^2 + 9*d*e*x + 2*d^2)/(d^3*e^2*x^3 + 2*d^4*e*x^2 + d^5*x) - 6*e*log(e*x + d)/d^4 + 6*e*log(x)/d^4) + b*integrate((log(c) + log(x^n))/(e^3*x^5 + 3*d*e^2*x^4 + 3*d^2*e*x^3 + d^3*x^2), x)","F",0
52,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^3,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{12 \, e^{3} x^{3} + 18 \, d e^{2} x^{2} + 4 \, d^{2} e x - d^{3}}{d^{4} e^{2} x^{4} + 2 \, d^{5} e x^{3} + d^{6} x^{2}} - \frac{12 \, e^{2} \log\left(e x + d\right)}{d^{5}} + \frac{12 \, e^{2} \log\left(x\right)}{d^{5}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{3} x^{6} + 3 \, d e^{2} x^{5} + 3 \, d^{2} e x^{4} + d^{3} x^{3}}\,{d x}"," ",0,"1/2*a*((12*e^3*x^3 + 18*d*e^2*x^2 + 4*d^2*e*x - d^3)/(d^4*e^2*x^4 + 2*d^5*e*x^3 + d^6*x^2) - 12*e^2*log(e*x + d)/d^5 + 12*e^2*log(x)/d^5) + b*integrate((log(c) + log(x^n))/(e^3*x^6 + 3*d*e^2*x^5 + 3*d^2*e*x^4 + d^3*x^3), x)","F",0
53,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""maxima"")","\frac{1}{6} \, a {\left(\frac{60 \, d^{3} e^{2} x^{2} + 105 \, d^{4} e x + 47 \, d^{5}}{e^{9} x^{3} + 3 \, d e^{8} x^{2} + 3 \, d^{2} e^{7} x + d^{3} e^{6}} + \frac{60 \, d^{2} \log\left(e x + d\right)}{e^{6}} + \frac{3 \, {\left(e x^{2} - 8 \, d x\right)}}{e^{5}}\right)} + b \int \frac{x^{5} \log\left(c\right) + x^{5} \log\left(x^{n}\right)}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}\,{d x}"," ",0,"1/6*a*((60*d^3*e^2*x^2 + 105*d^4*e*x + 47*d^5)/(e^9*x^3 + 3*d*e^8*x^2 + 3*d^2*e^7*x + d^3*e^6) + 60*d^2*log(e*x + d)/e^6 + 3*(e*x^2 - 8*d*x)/e^5) + b*integrate((x^5*log(c) + x^5*log(x^n))/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
54,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{1}{3} \, a {\left(\frac{18 \, d^{2} e^{2} x^{2} + 30 \, d^{3} e x + 13 \, d^{4}}{e^{8} x^{3} + 3 \, d e^{7} x^{2} + 3 \, d^{2} e^{6} x + d^{3} e^{5}} - \frac{3 \, x}{e^{4}} + \frac{12 \, d \log\left(e x + d\right)}{e^{5}}\right)} + b \int \frac{x^{4} \log\left(c\right) + x^{4} \log\left(x^{n}\right)}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}\,{d x}"," ",0,"-1/3*a*((18*d^2*e^2*x^2 + 30*d^3*e*x + 13*d^4)/(e^8*x^3 + 3*d*e^7*x^2 + 3*d^2*e^6*x + d^3*e^5) - 3*x/e^4 + 12*d*log(e*x + d)/e^5) + b*integrate((x^4*log(c) + x^4*log(x^n))/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
55,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""maxima"")","\frac{1}{6} \, a {\left(\frac{18 \, d e^{2} x^{2} + 27 \, d^{2} e x + 11 \, d^{3}}{e^{7} x^{3} + 3 \, d e^{6} x^{2} + 3 \, d^{2} e^{5} x + d^{3} e^{4}} + \frac{6 \, \log\left(e x + d\right)}{e^{4}}\right)} + b \int \frac{x^{3} \log\left(c\right) + x^{3} \log\left(x^{n}\right)}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}\,{d x}"," ",0,"1/6*a*((18*d*e^2*x^2 + 27*d^2*e*x + 11*d^3)/(e^7*x^3 + 3*d*e^6*x^2 + 3*d^2*e^5*x + d^3*e^4) + 6*log(e*x + d)/e^4) + b*integrate((x^3*log(c) + x^3*log(x^n))/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
56,1,179,0,0.665456," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{1}{6} \, b n {\left(\frac{4 \, e x + 3 \, d}{e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}} + \frac{2 \, \log\left(e x + d\right)}{d e^{3}} - \frac{2 \, \log\left(x\right)}{d e^{3}}\right)} - \frac{{\left(3 \, e^{2} x^{2} + 3 \, d e x + d^{2}\right)} b \log\left(c x^{n}\right)}{3 \, {\left(e^{6} x^{3} + 3 \, d e^{5} x^{2} + 3 \, d^{2} e^{4} x + d^{3} e^{3}\right)}} - \frac{{\left(3 \, e^{2} x^{2} + 3 \, d e x + d^{2}\right)} a}{3 \, {\left(e^{6} x^{3} + 3 \, d e^{5} x^{2} + 3 \, d^{2} e^{4} x + d^{3} e^{3}\right)}}"," ",0,"-1/6*b*n*((4*e*x + 3*d)/(e^5*x^2 + 2*d*e^4*x + d^2*e^3) + 2*log(e*x + d)/(d*e^3) - 2*log(x)/(d*e^3)) - 1/3*(3*e^2*x^2 + 3*d*e*x + d^2)*b*log(c*x^n)/(e^6*x^3 + 3*d*e^5*x^2 + 3*d^2*e^4*x + d^3*e^3) - 1/3*(3*e^2*x^2 + 3*d*e*x + d^2)*a/(e^6*x^3 + 3*d*e^5*x^2 + 3*d^2*e^4*x + d^3*e^3)","B",0
57,1,150,0,0.661456," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""maxima"")","\frac{1}{6} \, b n {\left(\frac{x}{d e^{3} x^{2} + 2 \, d^{2} e^{2} x + d^{3} e} - \frac{\log\left(e x + d\right)}{d^{2} e^{2}} + \frac{\log\left(x\right)}{d^{2} e^{2}}\right)} - \frac{{\left(3 \, e x + d\right)} b \log\left(c x^{n}\right)}{6 \, {\left(e^{5} x^{3} + 3 \, d e^{4} x^{2} + 3 \, d^{2} e^{3} x + d^{3} e^{2}\right)}} - \frac{{\left(3 \, e x + d\right)} a}{6 \, {\left(e^{5} x^{3} + 3 \, d e^{4} x^{2} + 3 \, d^{2} e^{3} x + d^{3} e^{2}\right)}}"," ",0,"1/6*b*n*(x/(d*e^3*x^2 + 2*d^2*e^2*x + d^3*e) - log(e*x + d)/(d^2*e^2) + log(x)/(d^2*e^2)) - 1/6*(3*e*x + d)*b*log(c*x^n)/(e^5*x^3 + 3*d*e^4*x^2 + 3*d^2*e^3*x + d^3*e^2) - 1/6*(3*e*x + d)*a/(e^5*x^3 + 3*d*e^4*x^2 + 3*d^2*e^3*x + d^3*e^2)","A",0
58,1,144,0,0.575624," ","integrate((a+b*log(c*x^n))/(e*x+d)^4,x, algorithm=""maxima"")","\frac{1}{6} \, b n {\left(\frac{2 \, e x + 3 \, d}{d^{2} e^{3} x^{2} + 2 \, d^{3} e^{2} x + d^{4} e} - \frac{2 \, \log\left(e x + d\right)}{d^{3} e} + \frac{2 \, \log\left(x\right)}{d^{3} e}\right)} - \frac{b \log\left(c x^{n}\right)}{3 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}} - \frac{a}{3 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}}"," ",0,"1/6*b*n*((2*e*x + 3*d)/(d^2*e^3*x^2 + 2*d^3*e^2*x + d^4*e) - 2*log(e*x + d)/(d^3*e) + 2*log(x)/(d^3*e)) - 1/3*b*log(c*x^n)/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) - 1/3*a/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e)","A",0
59,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^4,x, algorithm=""maxima"")","\frac{1}{6} \, a {\left(\frac{6 \, e^{2} x^{2} + 15 \, d e x + 11 \, d^{2}}{d^{3} e^{3} x^{3} + 3 \, d^{4} e^{2} x^{2} + 3 \, d^{5} e x + d^{6}} - \frac{6 \, \log\left(e x + d\right)}{d^{4}} + \frac{6 \, \log\left(x\right)}{d^{4}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{4} x^{5} + 4 \, d e^{3} x^{4} + 6 \, d^{2} e^{2} x^{3} + 4 \, d^{3} e x^{2} + d^{4} x}\,{d x}"," ",0,"1/6*a*((6*e^2*x^2 + 15*d*e*x + 11*d^2)/(d^3*e^3*x^3 + 3*d^4*e^2*x^2 + 3*d^5*e*x + d^6) - 6*log(e*x + d)/d^4 + 6*log(x)/d^4) + b*integrate((log(c) + log(x^n))/(e^4*x^5 + 4*d*e^3*x^4 + 6*d^2*e^2*x^3 + 4*d^3*e*x^2 + d^4*x), x)","F",0
60,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{1}{3} \, a {\left(\frac{12 \, e^{3} x^{3} + 30 \, d e^{2} x^{2} + 22 \, d^{2} e x + 3 \, d^{3}}{d^{4} e^{3} x^{4} + 3 \, d^{5} e^{2} x^{3} + 3 \, d^{6} e x^{2} + d^{7} x} - \frac{12 \, e \log\left(e x + d\right)}{d^{5}} + \frac{12 \, e \log\left(x\right)}{d^{5}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{4} x^{6} + 4 \, d e^{3} x^{5} + 6 \, d^{2} e^{2} x^{4} + 4 \, d^{3} e x^{3} + d^{4} x^{2}}\,{d x}"," ",0,"-1/3*a*((12*e^3*x^3 + 30*d*e^2*x^2 + 22*d^2*e*x + 3*d^3)/(d^4*e^3*x^4 + 3*d^5*e^2*x^3 + 3*d^6*e*x^2 + d^7*x) - 12*e*log(e*x + d)/d^5 + 12*e*log(x)/d^5) + b*integrate((log(c) + log(x^n))/(e^4*x^6 + 4*d*e^3*x^5 + 6*d^2*e^2*x^4 + 4*d^3*e*x^3 + d^4*x^2), x)","F",0
61,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^4,x, algorithm=""maxima"")","\frac{1}{6} \, a {\left(\frac{60 \, e^{4} x^{4} + 150 \, d e^{3} x^{3} + 110 \, d^{2} e^{2} x^{2} + 15 \, d^{3} e x - 3 \, d^{4}}{d^{5} e^{3} x^{5} + 3 \, d^{6} e^{2} x^{4} + 3 \, d^{7} e x^{3} + d^{8} x^{2}} - \frac{60 \, e^{2} \log\left(e x + d\right)}{d^{6}} + \frac{60 \, e^{2} \log\left(x\right)}{d^{6}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{4} x^{7} + 4 \, d e^{3} x^{6} + 6 \, d^{2} e^{2} x^{5} + 4 \, d^{3} e x^{4} + d^{4} x^{3}}\,{d x}"," ",0,"1/6*a*((60*e^4*x^4 + 150*d*e^3*x^3 + 110*d^2*e^2*x^2 + 15*d^3*e*x - 3*d^4)/(d^5*e^3*x^5 + 3*d^6*e^2*x^4 + 3*d^7*e*x^3 + d^8*x^2) - 60*e^2*log(e*x + d)/d^6 + 60*e^2*log(x)/d^6) + b*integrate((log(c) + log(x^n))/(e^4*x^7 + 4*d*e^3*x^6 + 6*d^2*e^2*x^5 + 4*d^3*e*x^4 + d^4*x^3), x)","F",0
62,0,0,0,0.000000," ","integrate(x^8*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""maxima"")","\frac{1}{30} \, a {\left(\frac{1680 \, d^{3} e^{5} x^{5} + 7350 \, d^{4} e^{4} x^{4} + 13160 \, d^{5} e^{3} x^{3} + 11970 \, d^{6} e^{2} x^{2} + 5508 \, d^{7} e x + 1023 \, d^{8}}{e^{15} x^{6} + 6 \, d e^{14} x^{5} + 15 \, d^{2} e^{13} x^{4} + 20 \, d^{3} e^{12} x^{3} + 15 \, d^{4} e^{11} x^{2} + 6 \, d^{5} e^{10} x + d^{6} e^{9}} + \frac{840 \, d^{2} \log\left(e x + d\right)}{e^{9}} + \frac{15 \, {\left(e x^{2} - 14 \, d x\right)}}{e^{8}}\right)} + b \int \frac{x^{8} \log\left(c\right) + x^{8} \log\left(x^{n}\right)}{e^{7} x^{7} + 7 \, d e^{6} x^{6} + 21 \, d^{2} e^{5} x^{5} + 35 \, d^{3} e^{4} x^{4} + 35 \, d^{4} e^{3} x^{3} + 21 \, d^{5} e^{2} x^{2} + 7 \, d^{6} e x + d^{7}}\,{d x}"," ",0,"1/30*a*((1680*d^3*e^5*x^5 + 7350*d^4*e^4*x^4 + 13160*d^5*e^3*x^3 + 11970*d^6*e^2*x^2 + 5508*d^7*e*x + 1023*d^8)/(e^15*x^6 + 6*d*e^14*x^5 + 15*d^2*e^13*x^4 + 20*d^3*e^12*x^3 + 15*d^4*e^11*x^2 + 6*d^5*e^10*x + d^6*e^9) + 840*d^2*log(e*x + d)/e^9 + 15*(e*x^2 - 14*d*x)/e^8) + b*integrate((x^8*log(c) + x^8*log(x^n))/(e^7*x^7 + 7*d*e^6*x^6 + 21*d^2*e^5*x^5 + 35*d^3*e^4*x^4 + 35*d^4*e^3*x^3 + 21*d^5*e^2*x^2 + 7*d^6*e*x + d^7), x)","F",0
63,0,0,0,0.000000," ","integrate(x^7*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{1}{60} \, a {\left(\frac{1260 \, d^{2} e^{5} x^{5} + 5250 \, d^{3} e^{4} x^{4} + 9100 \, d^{4} e^{3} x^{3} + 8085 \, d^{5} e^{2} x^{2} + 3654 \, d^{6} e x + 669 \, d^{7}}{e^{14} x^{6} + 6 \, d e^{13} x^{5} + 15 \, d^{2} e^{12} x^{4} + 20 \, d^{3} e^{11} x^{3} + 15 \, d^{4} e^{10} x^{2} + 6 \, d^{5} e^{9} x + d^{6} e^{8}} - \frac{60 \, x}{e^{7}} + \frac{420 \, d \log\left(e x + d\right)}{e^{8}}\right)} + b \int \frac{x^{7} \log\left(c\right) + x^{7} \log\left(x^{n}\right)}{e^{7} x^{7} + 7 \, d e^{6} x^{6} + 21 \, d^{2} e^{5} x^{5} + 35 \, d^{3} e^{4} x^{4} + 35 \, d^{4} e^{3} x^{3} + 21 \, d^{5} e^{2} x^{2} + 7 \, d^{6} e x + d^{7}}\,{d x}"," ",0,"-1/60*a*((1260*d^2*e^5*x^5 + 5250*d^3*e^4*x^4 + 9100*d^4*e^3*x^3 + 8085*d^5*e^2*x^2 + 3654*d^6*e*x + 669*d^7)/(e^14*x^6 + 6*d*e^13*x^5 + 15*d^2*e^12*x^4 + 20*d^3*e^11*x^3 + 15*d^4*e^10*x^2 + 6*d^5*e^9*x + d^6*e^8) - 60*x/e^7 + 420*d*log(e*x + d)/e^8) + b*integrate((x^7*log(c) + x^7*log(x^n))/(e^7*x^7 + 7*d*e^6*x^6 + 21*d^2*e^5*x^5 + 35*d^3*e^4*x^4 + 35*d^4*e^3*x^3 + 21*d^5*e^2*x^2 + 7*d^6*e*x + d^7), x)","F",0
64,0,0,0,0.000000," ","integrate(x^6*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""maxima"")","\frac{1}{60} \, a {\left(\frac{360 \, d e^{5} x^{5} + 1350 \, d^{2} e^{4} x^{4} + 2200 \, d^{3} e^{3} x^{3} + 1875 \, d^{4} e^{2} x^{2} + 822 \, d^{5} e x + 147 \, d^{6}}{e^{13} x^{6} + 6 \, d e^{12} x^{5} + 15 \, d^{2} e^{11} x^{4} + 20 \, d^{3} e^{10} x^{3} + 15 \, d^{4} e^{9} x^{2} + 6 \, d^{5} e^{8} x + d^{6} e^{7}} + \frac{60 \, \log\left(e x + d\right)}{e^{7}}\right)} + b \int \frac{x^{6} \log\left(c\right) + x^{6} \log\left(x^{n}\right)}{e^{7} x^{7} + 7 \, d e^{6} x^{6} + 21 \, d^{2} e^{5} x^{5} + 35 \, d^{3} e^{4} x^{4} + 35 \, d^{4} e^{3} x^{3} + 21 \, d^{5} e^{2} x^{2} + 7 \, d^{6} e x + d^{7}}\,{d x}"," ",0,"1/60*a*((360*d*e^5*x^5 + 1350*d^2*e^4*x^4 + 2200*d^3*e^3*x^3 + 1875*d^4*e^2*x^2 + 822*d^5*e*x + 147*d^6)/(e^13*x^6 + 6*d*e^12*x^5 + 15*d^2*e^11*x^4 + 20*d^3*e^10*x^3 + 15*d^4*e^9*x^2 + 6*d^5*e^8*x + d^6*e^7) + 60*log(e*x + d)/e^7) + b*integrate((x^6*log(c) + x^6*log(x^n))/(e^7*x^7 + 7*d*e^6*x^6 + 21*d^2*e^5*x^5 + 35*d^3*e^4*x^4 + 35*d^4*e^3*x^3 + 21*d^5*e^2*x^2 + 7*d^6*e*x + d^7), x)","F",0
65,1,377,0,0.655620," ","integrate(x^5*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{1}{360} \, b n {\left(\frac{300 \, e^{4} x^{4} + 900 \, d e^{3} x^{3} + 1100 \, d^{2} e^{2} x^{2} + 625 \, d^{3} e x + 137 \, d^{4}}{e^{11} x^{5} + 5 \, d e^{10} x^{4} + 10 \, d^{2} e^{9} x^{3} + 10 \, d^{3} e^{8} x^{2} + 5 \, d^{4} e^{7} x + d^{5} e^{6}} + \frac{60 \, \log\left(e x + d\right)}{d e^{6}} - \frac{60 \, \log\left(x\right)}{d e^{6}}\right)} - \frac{{\left(6 \, e^{5} x^{5} + 15 \, d e^{4} x^{4} + 20 \, d^{2} e^{3} x^{3} + 15 \, d^{3} e^{2} x^{2} + 6 \, d^{4} e x + d^{5}\right)} b \log\left(c x^{n}\right)}{6 \, {\left(e^{12} x^{6} + 6 \, d e^{11} x^{5} + 15 \, d^{2} e^{10} x^{4} + 20 \, d^{3} e^{9} x^{3} + 15 \, d^{4} e^{8} x^{2} + 6 \, d^{5} e^{7} x + d^{6} e^{6}\right)}} - \frac{{\left(6 \, e^{5} x^{5} + 15 \, d e^{4} x^{4} + 20 \, d^{2} e^{3} x^{3} + 15 \, d^{3} e^{2} x^{2} + 6 \, d^{4} e x + d^{5}\right)} a}{6 \, {\left(e^{12} x^{6} + 6 \, d e^{11} x^{5} + 15 \, d^{2} e^{10} x^{4} + 20 \, d^{3} e^{9} x^{3} + 15 \, d^{4} e^{8} x^{2} + 6 \, d^{5} e^{7} x + d^{6} e^{6}\right)}}"," ",0,"-1/360*b*n*((300*e^4*x^4 + 900*d*e^3*x^3 + 1100*d^2*e^2*x^2 + 625*d^3*e*x + 137*d^4)/(e^11*x^5 + 5*d*e^10*x^4 + 10*d^2*e^9*x^3 + 10*d^3*e^8*x^2 + 5*d^4*e^7*x + d^5*e^6) + 60*log(e*x + d)/(d*e^6) - 60*log(x)/(d*e^6)) - 1/6*(6*e^5*x^5 + 15*d*e^4*x^4 + 20*d^2*e^3*x^3 + 15*d^3*e^2*x^2 + 6*d^4*e*x + d^5)*b*log(c*x^n)/(e^12*x^6 + 6*d*e^11*x^5 + 15*d^2*e^10*x^4 + 20*d^3*e^9*x^3 + 15*d^4*e^8*x^2 + 6*d^5*e^7*x + d^6*e^6) - 1/6*(6*e^5*x^5 + 15*d*e^4*x^4 + 20*d^2*e^3*x^3 + 15*d^3*e^2*x^2 + 6*d^4*e*x + d^5)*a/(e^12*x^6 + 6*d*e^11*x^5 + 15*d^2*e^10*x^4 + 20*d^3*e^9*x^3 + 15*d^4*e^8*x^2 + 6*d^5*e^7*x + d^6*e^6)","B",0
66,1,358,0,0.759441," ","integrate(x^4*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""maxima"")","\frac{1}{360} \, b n {\left(\frac{12 \, e^{4} x^{4} - 36 \, d e^{3} x^{3} - 76 \, d^{2} e^{2} x^{2} - 53 \, d^{3} e x - 13 \, d^{4}}{d e^{10} x^{5} + 5 \, d^{2} e^{9} x^{4} + 10 \, d^{3} e^{8} x^{3} + 10 \, d^{4} e^{7} x^{2} + 5 \, d^{5} e^{6} x + d^{6} e^{5}} - \frac{12 \, \log\left(e x + d\right)}{d^{2} e^{5}} + \frac{12 \, \log\left(x\right)}{d^{2} e^{5}}\right)} - \frac{{\left(15 \, e^{4} x^{4} + 20 \, d e^{3} x^{3} + 15 \, d^{2} e^{2} x^{2} + 6 \, d^{3} e x + d^{4}\right)} b \log\left(c x^{n}\right)}{30 \, {\left(e^{11} x^{6} + 6 \, d e^{10} x^{5} + 15 \, d^{2} e^{9} x^{4} + 20 \, d^{3} e^{8} x^{3} + 15 \, d^{4} e^{7} x^{2} + 6 \, d^{5} e^{6} x + d^{6} e^{5}\right)}} - \frac{{\left(15 \, e^{4} x^{4} + 20 \, d e^{3} x^{3} + 15 \, d^{2} e^{2} x^{2} + 6 \, d^{3} e x + d^{4}\right)} a}{30 \, {\left(e^{11} x^{6} + 6 \, d e^{10} x^{5} + 15 \, d^{2} e^{9} x^{4} + 20 \, d^{3} e^{8} x^{3} + 15 \, d^{4} e^{7} x^{2} + 6 \, d^{5} e^{6} x + d^{6} e^{5}\right)}}"," ",0,"1/360*b*n*((12*e^4*x^4 - 36*d*e^3*x^3 - 76*d^2*e^2*x^2 - 53*d^3*e*x - 13*d^4)/(d*e^10*x^5 + 5*d^2*e^9*x^4 + 10*d^3*e^8*x^3 + 10*d^4*e^7*x^2 + 5*d^5*e^6*x + d^6*e^5) - 12*log(e*x + d)/(d^2*e^5) + 12*log(x)/(d^2*e^5)) - 1/30*(15*e^4*x^4 + 20*d*e^3*x^3 + 15*d^2*e^2*x^2 + 6*d^3*e*x + d^4)*b*log(c*x^n)/(e^11*x^6 + 6*d*e^10*x^5 + 15*d^2*e^9*x^4 + 20*d^3*e^8*x^3 + 15*d^4*e^7*x^2 + 6*d^5*e^6*x + d^6*e^5) - 1/30*(15*e^4*x^4 + 20*d*e^3*x^3 + 15*d^2*e^2*x^2 + 6*d^3*e*x + d^4)*a/(e^11*x^6 + 6*d*e^10*x^5 + 15*d^2*e^9*x^4 + 20*d^3*e^8*x^3 + 15*d^4*e^7*x^2 + 6*d^5*e^6*x + d^6*e^5)","B",0
67,1,338,0,0.867701," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""maxima"")","\frac{1}{360} \, b n {\left(\frac{6 \, e^{4} x^{4} + 27 \, d e^{3} x^{3} + 7 \, d^{2} e^{2} x^{2} - 4 \, d^{3} e x - 2 \, d^{4}}{d^{2} e^{9} x^{5} + 5 \, d^{3} e^{8} x^{4} + 10 \, d^{4} e^{7} x^{3} + 10 \, d^{5} e^{6} x^{2} + 5 \, d^{6} e^{5} x + d^{7} e^{4}} - \frac{6 \, \log\left(e x + d\right)}{d^{3} e^{4}} + \frac{6 \, \log\left(x\right)}{d^{3} e^{4}}\right)} - \frac{{\left(20 \, e^{3} x^{3} + 15 \, d e^{2} x^{2} + 6 \, d^{2} e x + d^{3}\right)} b \log\left(c x^{n}\right)}{60 \, {\left(e^{10} x^{6} + 6 \, d e^{9} x^{5} + 15 \, d^{2} e^{8} x^{4} + 20 \, d^{3} e^{7} x^{3} + 15 \, d^{4} e^{6} x^{2} + 6 \, d^{5} e^{5} x + d^{6} e^{4}\right)}} - \frac{{\left(20 \, e^{3} x^{3} + 15 \, d e^{2} x^{2} + 6 \, d^{2} e x + d^{3}\right)} a}{60 \, {\left(e^{10} x^{6} + 6 \, d e^{9} x^{5} + 15 \, d^{2} e^{8} x^{4} + 20 \, d^{3} e^{7} x^{3} + 15 \, d^{4} e^{6} x^{2} + 6 \, d^{5} e^{5} x + d^{6} e^{4}\right)}}"," ",0,"1/360*b*n*((6*e^4*x^4 + 27*d*e^3*x^3 + 7*d^2*e^2*x^2 - 4*d^3*e*x - 2*d^4)/(d^2*e^9*x^5 + 5*d^3*e^8*x^4 + 10*d^4*e^7*x^3 + 10*d^5*e^6*x^2 + 5*d^6*e^5*x + d^7*e^4) - 6*log(e*x + d)/(d^3*e^4) + 6*log(x)/(d^3*e^4)) - 1/60*(20*e^3*x^3 + 15*d*e^2*x^2 + 6*d^2*e*x + d^3)*b*log(c*x^n)/(e^10*x^6 + 6*d*e^9*x^5 + 15*d^2*e^8*x^4 + 20*d^3*e^7*x^3 + 15*d^4*e^6*x^2 + 6*d^5*e^5*x + d^6*e^4) - 1/60*(20*e^3*x^3 + 15*d*e^2*x^2 + 6*d^2*e*x + d^3)*a/(e^10*x^6 + 6*d*e^9*x^5 + 15*d^2*e^8*x^4 + 20*d^3*e^7*x^3 + 15*d^4*e^6*x^2 + 6*d^5*e^5*x + d^6*e^4)","A",0
68,1,316,0,0.674725," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""maxima"")","\frac{1}{360} \, b n {\left(\frac{6 \, e^{4} x^{4} + 27 \, d e^{3} x^{3} + 47 \, d^{2} e^{2} x^{2} + 16 \, d^{3} e x + 2 \, d^{4}}{d^{3} e^{8} x^{5} + 5 \, d^{4} e^{7} x^{4} + 10 \, d^{5} e^{6} x^{3} + 10 \, d^{6} e^{5} x^{2} + 5 \, d^{7} e^{4} x + d^{8} e^{3}} - \frac{6 \, \log\left(e x + d\right)}{d^{4} e^{3}} + \frac{6 \, \log\left(x\right)}{d^{4} e^{3}}\right)} - \frac{{\left(15 \, e^{2} x^{2} + 6 \, d e x + d^{2}\right)} b \log\left(c x^{n}\right)}{60 \, {\left(e^{9} x^{6} + 6 \, d e^{8} x^{5} + 15 \, d^{2} e^{7} x^{4} + 20 \, d^{3} e^{6} x^{3} + 15 \, d^{4} e^{5} x^{2} + 6 \, d^{5} e^{4} x + d^{6} e^{3}\right)}} - \frac{{\left(15 \, e^{2} x^{2} + 6 \, d e x + d^{2}\right)} a}{60 \, {\left(e^{9} x^{6} + 6 \, d e^{8} x^{5} + 15 \, d^{2} e^{7} x^{4} + 20 \, d^{3} e^{6} x^{3} + 15 \, d^{4} e^{5} x^{2} + 6 \, d^{5} e^{4} x + d^{6} e^{3}\right)}}"," ",0,"1/360*b*n*((6*e^4*x^4 + 27*d*e^3*x^3 + 47*d^2*e^2*x^2 + 16*d^3*e*x + 2*d^4)/(d^3*e^8*x^5 + 5*d^4*e^7*x^4 + 10*d^5*e^6*x^3 + 10*d^6*e^5*x^2 + 5*d^7*e^4*x + d^8*e^3) - 6*log(e*x + d)/(d^4*e^3) + 6*log(x)/(d^4*e^3)) - 1/60*(15*e^2*x^2 + 6*d*e*x + d^2)*b*log(c*x^n)/(e^9*x^6 + 6*d*e^8*x^5 + 15*d^2*e^7*x^4 + 20*d^3*e^6*x^3 + 15*d^4*e^5*x^2 + 6*d^5*e^4*x + d^6*e^3) - 1/60*(15*e^2*x^2 + 6*d*e*x + d^2)*a/(e^9*x^6 + 6*d*e^8*x^5 + 15*d^2*e^7*x^4 + 20*d^3*e^6*x^3 + 15*d^4*e^5*x^2 + 6*d^5*e^4*x + d^6*e^3)","A",0
69,1,294,0,0.596566," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""maxima"")","\frac{1}{360} \, b n {\left(\frac{12 \, e^{4} x^{4} + 54 \, d e^{3} x^{3} + 94 \, d^{2} e^{2} x^{2} + 77 \, d^{3} e x + 13 \, d^{4}}{d^{4} e^{7} x^{5} + 5 \, d^{5} e^{6} x^{4} + 10 \, d^{6} e^{5} x^{3} + 10 \, d^{7} e^{4} x^{2} + 5 \, d^{8} e^{3} x + d^{9} e^{2}} - \frac{12 \, \log\left(e x + d\right)}{d^{5} e^{2}} + \frac{12 \, \log\left(x\right)}{d^{5} e^{2}}\right)} - \frac{{\left(6 \, e x + d\right)} b \log\left(c x^{n}\right)}{30 \, {\left(e^{8} x^{6} + 6 \, d e^{7} x^{5} + 15 \, d^{2} e^{6} x^{4} + 20 \, d^{3} e^{5} x^{3} + 15 \, d^{4} e^{4} x^{2} + 6 \, d^{5} e^{3} x + d^{6} e^{2}\right)}} - \frac{{\left(6 \, e x + d\right)} a}{30 \, {\left(e^{8} x^{6} + 6 \, d e^{7} x^{5} + 15 \, d^{2} e^{6} x^{4} + 20 \, d^{3} e^{5} x^{3} + 15 \, d^{4} e^{4} x^{2} + 6 \, d^{5} e^{3} x + d^{6} e^{2}\right)}}"," ",0,"1/360*b*n*((12*e^4*x^4 + 54*d*e^3*x^3 + 94*d^2*e^2*x^2 + 77*d^3*e*x + 13*d^4)/(d^4*e^7*x^5 + 5*d^5*e^6*x^4 + 10*d^6*e^5*x^3 + 10*d^7*e^4*x^2 + 5*d^8*e^3*x + d^9*e^2) - 12*log(e*x + d)/(d^5*e^2) + 12*log(x)/(d^5*e^2)) - 1/30*(6*e*x + d)*b*log(c*x^n)/(e^8*x^6 + 6*d*e^7*x^5 + 15*d^2*e^6*x^4 + 20*d^3*e^5*x^3 + 15*d^4*e^4*x^2 + 6*d^5*e^3*x + d^6*e^2) - 1/30*(6*e*x + d)*a/(e^8*x^6 + 6*d*e^7*x^5 + 15*d^2*e^6*x^4 + 20*d^3*e^5*x^3 + 15*d^4*e^4*x^2 + 6*d^5*e^3*x + d^6*e^2)","A",0
70,1,276,0,0.891827," ","integrate((a+b*log(c*x^n))/(e*x+d)^7,x, algorithm=""maxima"")","\frac{1}{360} \, b n {\left(\frac{60 \, e^{4} x^{4} + 270 \, d e^{3} x^{3} + 470 \, d^{2} e^{2} x^{2} + 385 \, d^{3} e x + 137 \, d^{4}}{d^{5} e^{6} x^{5} + 5 \, d^{6} e^{5} x^{4} + 10 \, d^{7} e^{4} x^{3} + 10 \, d^{8} e^{3} x^{2} + 5 \, d^{9} e^{2} x + d^{10} e} - \frac{60 \, \log\left(e x + d\right)}{d^{6} e} + \frac{60 \, \log\left(x\right)}{d^{6} e}\right)} - \frac{b \log\left(c x^{n}\right)}{6 \, {\left(e^{7} x^{6} + 6 \, d e^{6} x^{5} + 15 \, d^{2} e^{5} x^{4} + 20 \, d^{3} e^{4} x^{3} + 15 \, d^{4} e^{3} x^{2} + 6 \, d^{5} e^{2} x + d^{6} e\right)}} - \frac{a}{6 \, {\left(e^{7} x^{6} + 6 \, d e^{6} x^{5} + 15 \, d^{2} e^{5} x^{4} + 20 \, d^{3} e^{4} x^{3} + 15 \, d^{4} e^{3} x^{2} + 6 \, d^{5} e^{2} x + d^{6} e\right)}}"," ",0,"1/360*b*n*((60*e^4*x^4 + 270*d*e^3*x^3 + 470*d^2*e^2*x^2 + 385*d^3*e*x + 137*d^4)/(d^5*e^6*x^5 + 5*d^6*e^5*x^4 + 10*d^7*e^4*x^3 + 10*d^8*e^3*x^2 + 5*d^9*e^2*x + d^10*e) - 60*log(e*x + d)/(d^6*e) + 60*log(x)/(d^6*e)) - 1/6*b*log(c*x^n)/(e^7*x^6 + 6*d*e^6*x^5 + 15*d^2*e^5*x^4 + 20*d^3*e^4*x^3 + 15*d^4*e^3*x^2 + 6*d^5*e^2*x + d^6*e) - 1/6*a/(e^7*x^6 + 6*d*e^6*x^5 + 15*d^2*e^5*x^4 + 20*d^3*e^4*x^3 + 15*d^4*e^3*x^2 + 6*d^5*e^2*x + d^6*e)","B",0
71,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^7,x, algorithm=""maxima"")","\frac{1}{60} \, a {\left(\frac{60 \, e^{5} x^{5} + 330 \, d e^{4} x^{4} + 740 \, d^{2} e^{3} x^{3} + 855 \, d^{3} e^{2} x^{2} + 522 \, d^{4} e x + 147 \, d^{5}}{d^{6} e^{6} x^{6} + 6 \, d^{7} e^{5} x^{5} + 15 \, d^{8} e^{4} x^{4} + 20 \, d^{9} e^{3} x^{3} + 15 \, d^{10} e^{2} x^{2} + 6 \, d^{11} e x + d^{12}} - \frac{60 \, \log\left(e x + d\right)}{d^{7}} + \frac{60 \, \log\left(x\right)}{d^{7}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{7} x^{8} + 7 \, d e^{6} x^{7} + 21 \, d^{2} e^{5} x^{6} + 35 \, d^{3} e^{4} x^{5} + 35 \, d^{4} e^{3} x^{4} + 21 \, d^{5} e^{2} x^{3} + 7 \, d^{6} e x^{2} + d^{7} x}\,{d x}"," ",0,"1/60*a*((60*e^5*x^5 + 330*d*e^4*x^4 + 740*d^2*e^3*x^3 + 855*d^3*e^2*x^2 + 522*d^4*e*x + 147*d^5)/(d^6*e^6*x^6 + 6*d^7*e^5*x^5 + 15*d^8*e^4*x^4 + 20*d^9*e^3*x^3 + 15*d^10*e^2*x^2 + 6*d^11*e*x + d^12) - 60*log(e*x + d)/d^7 + 60*log(x)/d^7) + b*integrate((log(c) + log(x^n))/(e^7*x^8 + 7*d*e^6*x^7 + 21*d^2*e^5*x^6 + 35*d^3*e^4*x^5 + 35*d^4*e^3*x^4 + 21*d^5*e^2*x^3 + 7*d^6*e*x^2 + d^7*x), x)","F",0
72,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^7,x, algorithm=""maxima"")","-\frac{1}{60} \, a {\left(\frac{420 \, e^{6} x^{6} + 2310 \, d e^{5} x^{5} + 5180 \, d^{2} e^{4} x^{4} + 5985 \, d^{3} e^{3} x^{3} + 3654 \, d^{4} e^{2} x^{2} + 1029 \, d^{5} e x + 60 \, d^{6}}{d^{7} e^{6} x^{7} + 6 \, d^{8} e^{5} x^{6} + 15 \, d^{9} e^{4} x^{5} + 20 \, d^{10} e^{3} x^{4} + 15 \, d^{11} e^{2} x^{3} + 6 \, d^{12} e x^{2} + d^{13} x} - \frac{420 \, e \log\left(e x + d\right)}{d^{8}} + \frac{420 \, e \log\left(x\right)}{d^{8}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{7} x^{9} + 7 \, d e^{6} x^{8} + 21 \, d^{2} e^{5} x^{7} + 35 \, d^{3} e^{4} x^{6} + 35 \, d^{4} e^{3} x^{5} + 21 \, d^{5} e^{2} x^{4} + 7 \, d^{6} e x^{3} + d^{7} x^{2}}\,{d x}"," ",0,"-1/60*a*((420*e^6*x^6 + 2310*d*e^5*x^5 + 5180*d^2*e^4*x^4 + 5985*d^3*e^3*x^3 + 3654*d^4*e^2*x^2 + 1029*d^5*e*x + 60*d^6)/(d^7*e^6*x^7 + 6*d^8*e^5*x^6 + 15*d^9*e^4*x^5 + 20*d^10*e^3*x^4 + 15*d^11*e^2*x^3 + 6*d^12*e*x^2 + d^13*x) - 420*e*log(e*x + d)/d^8 + 420*e*log(x)/d^8) + b*integrate((log(c) + log(x^n))/(e^7*x^9 + 7*d*e^6*x^8 + 21*d^2*e^5*x^7 + 35*d^3*e^4*x^6 + 35*d^4*e^3*x^5 + 21*d^5*e^2*x^4 + 7*d^6*e*x^3 + d^7*x^2), x)","F",0
73,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^7,x, algorithm=""maxima"")","\frac{1}{30} \, a {\left(\frac{840 \, e^{7} x^{7} + 4620 \, d e^{6} x^{6} + 10360 \, d^{2} e^{5} x^{5} + 11970 \, d^{3} e^{4} x^{4} + 7308 \, d^{4} e^{3} x^{3} + 2058 \, d^{5} e^{2} x^{2} + 120 \, d^{6} e x - 15 \, d^{7}}{d^{8} e^{6} x^{8} + 6 \, d^{9} e^{5} x^{7} + 15 \, d^{10} e^{4} x^{6} + 20 \, d^{11} e^{3} x^{5} + 15 \, d^{12} e^{2} x^{4} + 6 \, d^{13} e x^{3} + d^{14} x^{2}} - \frac{840 \, e^{2} \log\left(e x + d\right)}{d^{9}} + \frac{840 \, e^{2} \log\left(x\right)}{d^{9}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{7} x^{10} + 7 \, d e^{6} x^{9} + 21 \, d^{2} e^{5} x^{8} + 35 \, d^{3} e^{4} x^{7} + 35 \, d^{4} e^{3} x^{6} + 21 \, d^{5} e^{2} x^{5} + 7 \, d^{6} e x^{4} + d^{7} x^{3}}\,{d x}"," ",0,"1/30*a*((840*e^7*x^7 + 4620*d*e^6*x^6 + 10360*d^2*e^5*x^5 + 11970*d^3*e^4*x^4 + 7308*d^4*e^3*x^3 + 2058*d^5*e^2*x^2 + 120*d^6*e*x - 15*d^7)/(d^8*e^6*x^8 + 6*d^9*e^5*x^7 + 15*d^10*e^4*x^6 + 20*d^11*e^3*x^5 + 15*d^12*e^2*x^4 + 6*d^13*e*x^3 + d^14*x^2) - 840*e^2*log(e*x + d)/d^9 + 840*e^2*log(x)/d^9) + b*integrate((log(c) + log(x^n))/(e^7*x^10 + 7*d*e^6*x^9 + 21*d^2*e^5*x^8 + 35*d^3*e^4*x^7 + 35*d^4*e^3*x^6 + 21*d^5*e^2*x^5 + 7*d^6*e*x^4 + d^7*x^3), x)","F",0
74,1,48,0,0.540494," ","integrate(log(c*x)/(-c*x+1),x, algorithm=""maxima"")","-\frac{\log\left(c x - 1\right) \log\left(c x\right)}{c} + \frac{\log\left(c x - 1\right) \log\left(x\right)}{c} - \frac{\log\left(-c x + 1\right) \log\left(x\right) + {\rm Li}_2\left(c x\right)}{c}"," ",0,"-log(c*x - 1)*log(c*x)/c + log(c*x - 1)*log(x)/c - (log(-c*x + 1)*log(x) + dilog(c*x))/c","B",0
75,1,45,0,0.570997," ","integrate(log(x/c)/(c-x),x, algorithm=""maxima"")","\log\left(c - x\right) \log\left(x\right) - \log\left(c - x\right) \log\left(\frac{x}{c}\right) - \log\left(x\right) \log\left(-\frac{x}{c} + 1\right) - {\rm Li}_2\left(\frac{x}{c}\right)"," ",0,"log(c - x)*log(x) - log(c - x)*log(x/c) - log(x)*log(-x/c + 1) - dilog(x/c)","B",0
76,1,151,0,0.595422," ","integrate(x^2*(e*x+d)*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{1}{4} \, b^{2} e x^{4} \log\left(c x^{n}\right)^{2} - \frac{1}{8} \, a b e n x^{4} + \frac{1}{2} \, a b e x^{4} \log\left(c x^{n}\right) + \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}{4} \, a^{2} e x^{4} + \frac{2}{3} \, a b d x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a^{2} d x^{3} + \frac{2}{27} \, {\left(n^{2} x^{3} - 3 \, n x^{3} \log\left(c x^{n}\right)\right)} b^{2} d + \frac{1}{32} \, {\left(n^{2} x^{4} - 4 \, n x^{4} \log\left(c x^{n}\right)\right)} b^{2} e"," ",0,"1/4*b^2*e*x^4*log(c*x^n)^2 - 1/8*a*b*e*n*x^4 + 1/2*a*b*e*x^4*log(c*x^n) + 1/3*b^2*d*x^3*log(c*x^n)^2 - 2/9*a*b*d*n*x^3 + 1/4*a^2*e*x^4 + 2/3*a*b*d*x^3*log(c*x^n) + 1/3*a^2*d*x^3 + 2/27*(n^2*x^3 - 3*n*x^3*log(c*x^n))*b^2*d + 1/32*(n^2*x^4 - 4*n*x^4*log(c*x^n))*b^2*e","A",0
77,1,150,0,0.558664," ","integrate(x*(e*x+d)*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} e x^{3} \log\left(c x^{n}\right)^{2} - \frac{2}{9} \, a b e n x^{3} + \frac{2}{3} \, a b e x^{3} \log\left(c x^{n}\right) + \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}{3} \, a^{2} e x^{3} + a b d x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a^{2} d x^{2} + \frac{1}{4} \, {\left(n^{2} x^{2} - 2 \, n x^{2} \log\left(c x^{n}\right)\right)} b^{2} d + \frac{2}{27} \, {\left(n^{2} x^{3} - 3 \, n x^{3} \log\left(c x^{n}\right)\right)} b^{2} e"," ",0,"1/3*b^2*e*x^3*log(c*x^n)^2 - 2/9*a*b*e*n*x^3 + 2/3*a*b*e*x^3*log(c*x^n) + 1/2*b^2*d*x^2*log(c*x^n)^2 - 1/2*a*b*d*n*x^2 + 1/3*a^2*e*x^3 + a*b*d*x^2*log(c*x^n) + 1/2*a^2*d*x^2 + 1/4*(n^2*x^2 - 2*n*x^2*log(c*x^n))*b^2*d + 2/27*(n^2*x^3 - 3*n*x^3*log(c*x^n))*b^2*e","A",0
78,1,136,0,0.594383," ","integrate((e*x+d)*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} e x^{2} \log\left(c x^{n}\right)^{2} - \frac{1}{2} \, a b e n x^{2} + a b e x^{2} \log\left(c x^{n}\right) + b^{2} d x \log\left(c x^{n}\right)^{2} - 2 \, a b d n x + \frac{1}{2} \, a^{2} e x^{2} + 2 \, a b d x \log\left(c x^{n}\right) + 2 \, {\left(n^{2} x - n x \log\left(c x^{n}\right)\right)} b^{2} d + \frac{1}{4} \, {\left(n^{2} x^{2} - 2 \, n x^{2} \log\left(c x^{n}\right)\right)} b^{2} e + a^{2} d x"," ",0,"1/2*b^2*e*x^2*log(c*x^n)^2 - 1/2*a*b*e*n*x^2 + a*b*e*x^2*log(c*x^n) + b^2*d*x*log(c*x^n)^2 - 2*a*b*d*n*x + 1/2*a^2*e*x^2 + 2*a*b*d*x*log(c*x^n) + 2*(n^2*x - n*x*log(c*x^n))*b^2*d + 1/4*(n^2*x^2 - 2*n*x^2*log(c*x^n))*b^2*e + a^2*d*x","A",0
79,1,101,0,0.730423," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x,x, algorithm=""maxima"")","b^{2} e x \log\left(c x^{n}\right)^{2} - 2 \, a b e n x + 2 \, a b e x \log\left(c x^{n}\right) + \frac{b^{2} d \log\left(c x^{n}\right)^{3}}{3 \, n} + 2 \, {\left(n^{2} x - n x \log\left(c x^{n}\right)\right)} b^{2} e + a^{2} e x + \frac{a b d \log\left(c x^{n}\right)^{2}}{n} + a^{2} d \log\left(x\right)"," ",0,"b^2*e*x*log(c*x^n)^2 - 2*a*b*e*n*x + 2*a*b*e*x*log(c*x^n) + 1/3*b^2*d*log(c*x^n)^3/n + 2*(n^2*x - n*x*log(c*x^n))*b^2*e + a^2*e*x + a*b*d*log(c*x^n)^2/n + a^2*d*log(x)","A",0
80,1,114,0,0.832867," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x^2,x, algorithm=""maxima"")","\frac{b^{2} e \log\left(c x^{n}\right)^{3}}{3 \, n} - 2 \, b^{2} d {\left(\frac{n^{2}}{x} + \frac{n \log\left(c x^{n}\right)}{x}\right)} + \frac{a b e \log\left(c x^{n}\right)^{2}}{n} - \frac{b^{2} d \log\left(c x^{n}\right)^{2}}{x} + a^{2} e \log\left(x\right) - \frac{2 \, a b d n}{x} - \frac{2 \, a b d \log\left(c x^{n}\right)}{x} - \frac{a^{2} d}{x}"," ",0,"1/3*b^2*e*log(c*x^n)^3/n - 2*b^2*d*(n^2/x + n*log(c*x^n)/x) + a*b*e*log(c*x^n)^2/n - b^2*d*log(c*x^n)^2/x + a^2*e*log(x) - 2*a*b*d*n/x - 2*a*b*d*log(c*x^n)/x - a^2*d/x","A",0
81,1,150,0,0.566775," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x^3,x, algorithm=""maxima"")","-2 \, b^{2} e {\left(\frac{n^{2}}{x} + \frac{n \log\left(c x^{n}\right)}{x}\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{b^{2} e \log\left(c x^{n}\right)^{2}}{x} - \frac{2 \, a b e n}{x} - \frac{2 \, a b e \log\left(c x^{n}\right)}{x} - \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}{x} - \frac{a b d \log\left(c x^{n}\right)}{x^{2}} - \frac{a^{2} d}{2 \, x^{2}}"," ",0,"-2*b^2*e*(n^2/x + n*log(c*x^n)/x) - 1/4*b^2*d*(n^2/x^2 + 2*n*log(c*x^n)/x^2) - b^2*e*log(c*x^n)^2/x - 2*a*b*e*n/x - 2*a*b*e*log(c*x^n)/x - 1/2*b^2*d*log(c*x^n)^2/x^2 - 1/2*a*b*d*n/x^2 - a^2*e/x - a*b*d*log(c*x^n)/x^2 - 1/2*a^2*d/x^2","A",0
82,1,151,0,0.611092," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x^4,x, algorithm=""maxima"")","-\frac{1}{4} \, b^{2} e {\left(\frac{n^{2}}{x^{2}} + \frac{2 \, n \log\left(c x^{n}\right)}{x^{2}}\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{b^{2} e \log\left(c x^{n}\right)^{2}}{2 \, x^{2}} - \frac{a b e n}{2 \, x^{2}} - \frac{a b e \log\left(c x^{n}\right)}{x^{2}} - \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}{2 \, x^{2}} - \frac{2 \, a b d \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{a^{2} d}{3 \, x^{3}}"," ",0,"-1/4*b^2*e*(n^2/x^2 + 2*n*log(c*x^n)/x^2) - 2/27*b^2*d*(n^2/x^3 + 3*n*log(c*x^n)/x^3) - 1/2*b^2*e*log(c*x^n)^2/x^2 - 1/2*a*b*e*n/x^2 - a*b*e*log(c*x^n)/x^2 - 1/3*b^2*d*log(c*x^n)^2/x^3 - 2/9*a*b*d*n/x^3 - 1/2*a^2*e/x^2 - 2/3*a*b*d*log(c*x^n)/x^3 - 1/3*a^2*d/x^3","A",0
83,1,151,0,0.742423," ","integrate((e*x+d)*(a+b*log(c*x^n))^2/x^5,x, algorithm=""maxima"")","-\frac{2}{27} \, b^{2} e {\left(\frac{n^{2}}{x^{3}} + \frac{3 \, n \log\left(c x^{n}\right)}{x^{3}}\right)} - \frac{1}{32} \, b^{2} d {\left(\frac{n^{2}}{x^{4}} + \frac{4 \, n \log\left(c x^{n}\right)}{x^{4}}\right)} - \frac{b^{2} e \log\left(c x^{n}\right)^{2}}{3 \, x^{3}} - \frac{2 \, a b e n}{9 \, x^{3}} - \frac{2 \, a b e \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{b^{2} d \log\left(c x^{n}\right)^{2}}{4 \, x^{4}} - \frac{a b d n}{8 \, x^{4}} - \frac{a^{2} e}{3 \, x^{3}} - \frac{a b d \log\left(c x^{n}\right)}{2 \, x^{4}} - \frac{a^{2} d}{4 \, x^{4}}"," ",0,"-2/27*b^2*e*(n^2/x^3 + 3*n*log(c*x^n)/x^3) - 1/32*b^2*d*(n^2/x^4 + 4*n*log(c*x^n)/x^4) - 1/3*b^2*e*log(c*x^n)^2/x^3 - 2/9*a*b*e*n/x^3 - 2/3*a*b*e*log(c*x^n)/x^3 - 1/4*b^2*d*log(c*x^n)^2/x^4 - 1/8*a*b*d*n/x^4 - 1/3*a^2*e/x^3 - 1/2*a*b*d*log(c*x^n)/x^4 - 1/4*a^2*d/x^4","A",0
84,1,250,0,0.596649," ","integrate(x^2*(e*x+d)^2*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{1}{5} \, b^{2} e^{2} x^{5} \log\left(c x^{n}\right)^{2} - \frac{2}{25} \, a b e^{2} n x^{5} + \frac{2}{5} \, a b e^{2} x^{5} \log\left(c x^{n}\right) + \frac{1}{2} \, b^{2} d e x^{4} \log\left(c x^{n}\right)^{2} - \frac{1}{4} \, a b d e n x^{4} + \frac{1}{5} \, a^{2} e^{2} x^{5} + a b d e x^{4} \log\left(c x^{n}\right) + \frac{1}{3} \, b^{2} d^{2} x^{3} \log\left(c x^{n}\right)^{2} - \frac{2}{9} \, a b d^{2} n x^{3} + \frac{1}{2} \, a^{2} d e x^{4} + \frac{2}{3} \, a b d^{2} x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a^{2} d^{2} x^{3} + \frac{2}{27} \, {\left(n^{2} x^{3} - 3 \, n x^{3} \log\left(c x^{n}\right)\right)} b^{2} d^{2} + \frac{1}{16} \, {\left(n^{2} x^{4} - 4 \, n x^{4} \log\left(c x^{n}\right)\right)} b^{2} d e + \frac{2}{125} \, {\left(n^{2} x^{5} - 5 \, n x^{5} \log\left(c x^{n}\right)\right)} b^{2} e^{2}"," ",0,"1/5*b^2*e^2*x^5*log(c*x^n)^2 - 2/25*a*b*e^2*n*x^5 + 2/5*a*b*e^2*x^5*log(c*x^n) + 1/2*b^2*d*e*x^4*log(c*x^n)^2 - 1/4*a*b*d*e*n*x^4 + 1/5*a^2*e^2*x^5 + a*b*d*e*x^4*log(c*x^n) + 1/3*b^2*d^2*x^3*log(c*x^n)^2 - 2/9*a*b*d^2*n*x^3 + 1/2*a^2*d*e*x^4 + 2/3*a*b*d^2*x^3*log(c*x^n) + 1/3*a^2*d^2*x^3 + 2/27*(n^2*x^3 - 3*n*x^3*log(c*x^n))*b^2*d^2 + 1/16*(n^2*x^4 - 4*n*x^4*log(c*x^n))*b^2*d*e + 2/125*(n^2*x^5 - 5*n*x^5*log(c*x^n))*b^2*e^2","A",0
85,1,250,0,0.522526," ","integrate(x*(e*x+d)^2*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{1}{4} \, b^{2} e^{2} x^{4} \log\left(c x^{n}\right)^{2} - \frac{1}{8} \, a b e^{2} n x^{4} + \frac{1}{2} \, a b e^{2} x^{4} \log\left(c x^{n}\right) + \frac{2}{3} \, b^{2} d e x^{3} \log\left(c x^{n}\right)^{2} - \frac{4}{9} \, a b d e n x^{3} + \frac{1}{4} \, a^{2} e^{2} x^{4} + \frac{4}{3} \, a b d e x^{3} \log\left(c x^{n}\right) + \frac{1}{2} \, b^{2} d^{2} x^{2} \log\left(c x^{n}\right)^{2} - \frac{1}{2} \, a b d^{2} n x^{2} + \frac{2}{3} \, a^{2} d e x^{3} + a b d^{2} x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a^{2} d^{2} x^{2} + \frac{1}{4} \, {\left(n^{2} x^{2} - 2 \, n x^{2} \log\left(c x^{n}\right)\right)} b^{2} d^{2} + \frac{4}{27} \, {\left(n^{2} x^{3} - 3 \, n x^{3} \log\left(c x^{n}\right)\right)} b^{2} d e + \frac{1}{32} \, {\left(n^{2} x^{4} - 4 \, n x^{4} \log\left(c x^{n}\right)\right)} b^{2} e^{2}"," ",0,"1/4*b^2*e^2*x^4*log(c*x^n)^2 - 1/8*a*b*e^2*n*x^4 + 1/2*a*b*e^2*x^4*log(c*x^n) + 2/3*b^2*d*e*x^3*log(c*x^n)^2 - 4/9*a*b*d*e*n*x^3 + 1/4*a^2*e^2*x^4 + 4/3*a*b*d*e*x^3*log(c*x^n) + 1/2*b^2*d^2*x^2*log(c*x^n)^2 - 1/2*a*b*d^2*n*x^2 + 2/3*a^2*d*e*x^3 + a*b*d^2*x^2*log(c*x^n) + 1/2*a^2*d^2*x^2 + 1/4*(n^2*x^2 - 2*n*x^2*log(c*x^n))*b^2*d^2 + 4/27*(n^2*x^3 - 3*n*x^3*log(c*x^n))*b^2*d*e + 1/32*(n^2*x^4 - 4*n*x^4*log(c*x^n))*b^2*e^2","A",0
86,1,235,0,0.587962," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} e^{2} x^{3} \log\left(c x^{n}\right)^{2} - \frac{2}{9} \, a b e^{2} n x^{3} + \frac{2}{3} \, a b e^{2} x^{3} \log\left(c x^{n}\right) + b^{2} d e x^{2} \log\left(c x^{n}\right)^{2} - a b d e n x^{2} + \frac{1}{3} \, a^{2} e^{2} x^{3} + 2 \, a b d e x^{2} \log\left(c x^{n}\right) + b^{2} d^{2} x \log\left(c x^{n}\right)^{2} - 2 \, a b d^{2} n x + a^{2} d e x^{2} + 2 \, a b d^{2} x \log\left(c x^{n}\right) + 2 \, {\left(n^{2} x - n x \log\left(c x^{n}\right)\right)} b^{2} d^{2} + \frac{1}{2} \, {\left(n^{2} x^{2} - 2 \, n x^{2} \log\left(c x^{n}\right)\right)} b^{2} d e + \frac{2}{27} \, {\left(n^{2} x^{3} - 3 \, n x^{3} \log\left(c x^{n}\right)\right)} b^{2} e^{2} + a^{2} d^{2} x"," ",0,"1/3*b^2*e^2*x^3*log(c*x^n)^2 - 2/9*a*b*e^2*n*x^3 + 2/3*a*b*e^2*x^3*log(c*x^n) + b^2*d*e*x^2*log(c*x^n)^2 - a*b*d*e*n*x^2 + 1/3*a^2*e^2*x^3 + 2*a*b*d*e*x^2*log(c*x^n) + b^2*d^2*x*log(c*x^n)^2 - 2*a*b*d^2*n*x + a^2*d*e*x^2 + 2*a*b*d^2*x*log(c*x^n) + 2*(n^2*x - n*x*log(c*x^n))*b^2*d^2 + 1/2*(n^2*x^2 - 2*n*x^2*log(c*x^n))*b^2*d*e + 2/27*(n^2*x^3 - 3*n*x^3*log(c*x^n))*b^2*e^2 + a^2*d^2*x","A",0
87,1,198,0,0.591988," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} e^{2} x^{2} \log\left(c x^{n}\right)^{2} - \frac{1}{2} \, a b e^{2} n x^{2} + a b e^{2} x^{2} \log\left(c x^{n}\right) + 2 \, b^{2} d e x \log\left(c x^{n}\right)^{2} - 4 \, a b d e n x + \frac{1}{2} \, a^{2} e^{2} x^{2} + 4 \, a b d e x \log\left(c x^{n}\right) + \frac{b^{2} d^{2} \log\left(c x^{n}\right)^{3}}{3 \, n} + 4 \, {\left(n^{2} x - n x \log\left(c x^{n}\right)\right)} b^{2} d e + \frac{1}{4} \, {\left(n^{2} x^{2} - 2 \, n x^{2} \log\left(c x^{n}\right)\right)} b^{2} e^{2} + 2 \, a^{2} d e x + \frac{a b d^{2} \log\left(c x^{n}\right)^{2}}{n} + a^{2} d^{2} \log\left(x\right)"," ",0,"1/2*b^2*e^2*x^2*log(c*x^n)^2 - 1/2*a*b*e^2*n*x^2 + a*b*e^2*x^2*log(c*x^n) + 2*b^2*d*e*x*log(c*x^n)^2 - 4*a*b*d*e*n*x + 1/2*a^2*e^2*x^2 + 4*a*b*d*e*x*log(c*x^n) + 1/3*b^2*d^2*log(c*x^n)^3/n + 4*(n^2*x - n*x*log(c*x^n))*b^2*d*e + 1/4*(n^2*x^2 - 2*n*x^2*log(c*x^n))*b^2*e^2 + 2*a^2*d*e*x + a*b*d^2*log(c*x^n)^2/n + a^2*d^2*log(x)","A",0
88,1,200,0,0.629816," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x^2,x, algorithm=""maxima"")","b^{2} e^{2} x \log\left(c x^{n}\right)^{2} - 2 \, a b e^{2} n x + 2 \, a b e^{2} x \log\left(c x^{n}\right) + \frac{2 \, b^{2} d e \log\left(c x^{n}\right)^{3}}{3 \, n} + 2 \, {\left(n^{2} x - n x \log\left(c x^{n}\right)\right)} b^{2} e^{2} - 2 \, b^{2} d^{2} {\left(\frac{n^{2}}{x} + \frac{n \log\left(c x^{n}\right)}{x}\right)} + a^{2} e^{2} x + \frac{2 \, a b d e \log\left(c x^{n}\right)^{2}}{n} - \frac{b^{2} d^{2} \log\left(c x^{n}\right)^{2}}{x} + 2 \, a^{2} d e \log\left(x\right) - \frac{2 \, a b d^{2} n}{x} - \frac{2 \, a b d^{2} \log\left(c x^{n}\right)}{x} - \frac{a^{2} d^{2}}{x}"," ",0,"b^2*e^2*x*log(c*x^n)^2 - 2*a*b*e^2*n*x + 2*a*b*e^2*x*log(c*x^n) + 2/3*b^2*d*e*log(c*x^n)^3/n + 2*(n^2*x - n*x*log(c*x^n))*b^2*e^2 - 2*b^2*d^2*(n^2/x + n*log(c*x^n)/x) + a^2*e^2*x + 2*a*b*d*e*log(c*x^n)^2/n - b^2*d^2*log(c*x^n)^2/x + 2*a^2*d*e*log(x) - 2*a*b*d^2*n/x - 2*a*b*d^2*log(c*x^n)/x - a^2*d^2/x","A",0
89,1,210,0,0.689561," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x^3,x, algorithm=""maxima"")","\frac{b^{2} e^{2} \log\left(c x^{n}\right)^{3}}{3 \, n} - 4 \, b^{2} d e {\left(\frac{n^{2}}{x} + \frac{n \log\left(c x^{n}\right)}{x}\right)} - \frac{1}{4} \, b^{2} d^{2} {\left(\frac{n^{2}}{x^{2}} + \frac{2 \, n \log\left(c x^{n}\right)}{x^{2}}\right)} + \frac{a b e^{2} \log\left(c x^{n}\right)^{2}}{n} - \frac{2 \, b^{2} d e \log\left(c x^{n}\right)^{2}}{x} + a^{2} e^{2} \log\left(x\right) - \frac{4 \, a b d e n}{x} - \frac{4 \, a b d e \log\left(c x^{n}\right)}{x} - \frac{b^{2} d^{2} \log\left(c x^{n}\right)^{2}}{2 \, x^{2}} - \frac{a b d^{2} n}{2 \, x^{2}} - \frac{2 \, a^{2} d e}{x} - \frac{a b d^{2} \log\left(c x^{n}\right)}{x^{2}} - \frac{a^{2} d^{2}}{2 \, x^{2}}"," ",0,"1/3*b^2*e^2*log(c*x^n)^3/n - 4*b^2*d*e*(n^2/x + n*log(c*x^n)/x) - 1/4*b^2*d^2*(n^2/x^2 + 2*n*log(c*x^n)/x^2) + a*b*e^2*log(c*x^n)^2/n - 2*b^2*d*e*log(c*x^n)^2/x + a^2*e^2*log(x) - 4*a*b*d*e*n/x - 4*a*b*d*e*log(c*x^n)/x - 1/2*b^2*d^2*log(c*x^n)^2/x^2 - 1/2*a*b*d^2*n/x^2 - 2*a^2*d*e/x - a*b*d^2*log(c*x^n)/x^2 - 1/2*a^2*d^2/x^2","A",0
90,1,250,0,0.738595," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x^4,x, algorithm=""maxima"")","-2 \, b^{2} e^{2} {\left(\frac{n^{2}}{x} + \frac{n \log\left(c x^{n}\right)}{x}\right)} - \frac{1}{2} \, b^{2} d e {\left(\frac{n^{2}}{x^{2}} + \frac{2 \, n \log\left(c x^{n}\right)}{x^{2}}\right)} - \frac{2}{27} \, b^{2} d^{2} {\left(\frac{n^{2}}{x^{3}} + \frac{3 \, n \log\left(c x^{n}\right)}{x^{3}}\right)} - \frac{b^{2} e^{2} \log\left(c x^{n}\right)^{2}}{x} - \frac{2 \, a b e^{2} n}{x} - \frac{2 \, a b e^{2} \log\left(c x^{n}\right)}{x} - \frac{b^{2} d e \log\left(c x^{n}\right)^{2}}{x^{2}} - \frac{a b d e n}{x^{2}} - \frac{a^{2} e^{2}}{x} - \frac{2 \, a b d e \log\left(c x^{n}\right)}{x^{2}} - \frac{b^{2} d^{2} \log\left(c x^{n}\right)^{2}}{3 \, x^{3}} - \frac{2 \, a b d^{2} n}{9 \, x^{3}} - \frac{a^{2} d e}{x^{2}} - \frac{2 \, a b d^{2} \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{a^{2} d^{2}}{3 \, x^{3}}"," ",0,"-2*b^2*e^2*(n^2/x + n*log(c*x^n)/x) - 1/2*b^2*d*e*(n^2/x^2 + 2*n*log(c*x^n)/x^2) - 2/27*b^2*d^2*(n^2/x^3 + 3*n*log(c*x^n)/x^3) - b^2*e^2*log(c*x^n)^2/x - 2*a*b*e^2*n/x - 2*a*b*e^2*log(c*x^n)/x - b^2*d*e*log(c*x^n)^2/x^2 - a*b*d*e*n/x^2 - a^2*e^2/x - 2*a*b*d*e*log(c*x^n)/x^2 - 1/3*b^2*d^2*log(c*x^n)^2/x^3 - 2/9*a*b*d^2*n/x^3 - a^2*d*e/x^2 - 2/3*a*b*d^2*log(c*x^n)/x^3 - 1/3*a^2*d^2/x^3","A",0
91,1,251,0,0.802708," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^2/x^5,x, algorithm=""maxima"")","-\frac{1}{4} \, b^{2} e^{2} {\left(\frac{n^{2}}{x^{2}} + \frac{2 \, n \log\left(c x^{n}\right)}{x^{2}}\right)} - \frac{4}{27} \, b^{2} d e {\left(\frac{n^{2}}{x^{3}} + \frac{3 \, n \log\left(c x^{n}\right)}{x^{3}}\right)} - \frac{1}{32} \, b^{2} d^{2} {\left(\frac{n^{2}}{x^{4}} + \frac{4 \, n \log\left(c x^{n}\right)}{x^{4}}\right)} - \frac{b^{2} e^{2} \log\left(c x^{n}\right)^{2}}{2 \, x^{2}} - \frac{a b e^{2} n}{2 \, x^{2}} - \frac{a b e^{2} \log\left(c x^{n}\right)}{x^{2}} - \frac{2 \, b^{2} d e \log\left(c x^{n}\right)^{2}}{3 \, x^{3}} - \frac{4 \, a b d e n}{9 \, x^{3}} - \frac{a^{2} e^{2}}{2 \, x^{2}} - \frac{4 \, a b d e \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{b^{2} d^{2} \log\left(c x^{n}\right)^{2}}{4 \, x^{4}} - \frac{a b d^{2} n}{8 \, x^{4}} - \frac{2 \, a^{2} d e}{3 \, x^{3}} - \frac{a b d^{2} \log\left(c x^{n}\right)}{2 \, x^{4}} - \frac{a^{2} d^{2}}{4 \, x^{4}}"," ",0,"-1/4*b^2*e^2*(n^2/x^2 + 2*n*log(c*x^n)/x^2) - 4/27*b^2*d*e*(n^2/x^3 + 3*n*log(c*x^n)/x^3) - 1/32*b^2*d^2*(n^2/x^4 + 4*n*log(c*x^n)/x^4) - 1/2*b^2*e^2*log(c*x^n)^2/x^2 - 1/2*a*b*e^2*n/x^2 - a*b*e^2*log(c*x^n)/x^2 - 2/3*b^2*d*e*log(c*x^n)^2/x^3 - 4/9*a*b*d*e*n/x^3 - 1/2*a^2*e^2/x^2 - 4/3*a*b*d*e*log(c*x^n)/x^3 - 1/4*b^2*d^2*log(c*x^n)^2/x^4 - 1/8*a*b*d^2*n/x^4 - 2/3*a^2*d*e/x^3 - 1/2*a*b*d^2*log(c*x^n)/x^4 - 1/4*a^2*d^2/x^4","A",0
92,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))^2/(e*x+d),x, algorithm=""maxima"")","-\frac{1}{6} \, a^{2} {\left(\frac{6 \, d^{3} \log\left(e x + d\right)}{e^{4}} - \frac{2 \, e^{2} x^{3} - 3 \, d e x^{2} + 6 \, d^{2} x}{e^{3}}\right)} + \int \frac{b^{2} x^{3} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{3} \log\left(x^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{3}}{e x + d}\,{d x}"," ",0,"-1/6*a^2*(6*d^3*log(e*x + d)/e^4 - (2*e^2*x^3 - 3*d*e*x^2 + 6*d^2*x)/e^3) + integrate((b^2*x^3*log(x^n)^2 + 2*(b^2*log(c) + a*b)*x^3*log(x^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^3)/(e*x + d), x)","F",0
93,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2/(e*x+d),x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{2 \, d^{2} \log\left(e x + d\right)}{e^{3}} + \frac{e x^{2} - 2 \, d x}{e^{2}}\right)} + \int \frac{b^{2} x^{2} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{2} \log\left(x^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{2}}{e x + d}\,{d x}"," ",0,"1/2*a^2*(2*d^2*log(e*x + d)/e^3 + (e*x^2 - 2*d*x)/e^2) + integrate((b^2*x^2*log(x^n)^2 + 2*(b^2*log(c) + a*b)*x^2*log(x^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^2)/(e*x + d), x)","F",0
94,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2/(e*x+d),x, algorithm=""maxima"")","a^{2} {\left(\frac{x}{e} - \frac{d \log\left(e x + d\right)}{e^{2}}\right)} + \int \frac{b^{2} x \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x \log\left(x^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x}{e x + d}\,{d x}"," ",0,"a^2*(x/e - d*log(e*x + d)/e^2) + integrate((b^2*x*log(x^n)^2 + 2*(b^2*log(c) + a*b)*x*log(x^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x)/(e*x + d), x)","F",0
95,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/(e*x+d),x, algorithm=""maxima"")","\frac{a^{2} \log\left(e x + d\right)}{e} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e x + d}\,{d x}"," ",0,"a^2*log(e*x + d)/e + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e*x + d), x)","F",0
96,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(e*x+d),x, algorithm=""maxima"")","-a^{2} {\left(\frac{\log\left(e x + d\right)}{d} - \frac{\log\left(x\right)}{d}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e x^{2} + d x}\,{d x}"," ",0,"-a^2*(log(e*x + d)/d - log(x)/d) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e*x^2 + d*x), x)","F",0
97,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^2/(e*x+d),x, algorithm=""maxima"")","a^{2} {\left(\frac{e \log\left(e x + d\right)}{d^{2}} - \frac{e \log\left(x\right)}{d^{2}} - \frac{1}{d x}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e x^{3} + d x^{2}}\,{d x}"," ",0,"a^2*(e*log(e*x + d)/d^2 - e*log(x)/d^2 - 1/(d*x)) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e*x^3 + d*x^2), x)","F",0
98,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^3/(e*x+d),x, algorithm=""maxima"")","-\frac{1}{2} \, a^{2} {\left(\frac{2 \, e^{2} \log\left(e x + d\right)}{d^{3}} - \frac{2 \, e^{2} \log\left(x\right)}{d^{3}} - \frac{2 \, e x - d}{d^{2} x^{2}}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e x^{4} + d x^{3}}\,{d x}"," ",0,"-1/2*a^2*(2*e^2*log(e*x + d)/d^3 - 2*e^2*log(x)/d^3 - (2*e*x - d)/(d^2*x^2)) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e*x^4 + d*x^3), x)","F",0
99,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^4/(e*x+d),x, algorithm=""maxima"")","\frac{1}{6} \, a^{2} {\left(\frac{6 \, e^{3} \log\left(e x + d\right)}{d^{4}} - \frac{6 \, e^{3} \log\left(x\right)}{d^{4}} - \frac{6 \, e^{2} x^{2} - 3 \, d e x + 2 \, d^{2}}{d^{3} x^{3}}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e x^{5} + d x^{4}}\,{d x}"," ",0,"1/6*a^2*(6*e^3*log(e*x + d)/d^4 - 6*e^3*log(x)/d^4 - (6*e^2*x^2 - 3*d*e*x + 2*d^2)/(d^3*x^3)) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e*x^5 + d*x^4), x)","F",0
100,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))^2/(e*x+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{2 \, d^{3}}{e^{5} x + d e^{4}} + \frac{6 \, d^{2} \log\left(e x + d\right)}{e^{4}} + \frac{e x^{2} - 4 \, d x}{e^{3}}\right)} a^{2} + \int \frac{b^{2} x^{3} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{3} \log\left(x^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{3}}{e^{2} x^{2} + 2 \, d e x + d^{2}}\,{d x}"," ",0,"1/2*(2*d^3/(e^5*x + d*e^4) + 6*d^2*log(e*x + d)/e^4 + (e*x^2 - 4*d*x)/e^3)*a^2 + integrate((b^2*x^3*log(x^n)^2 + 2*(b^2*log(c) + a*b)*x^3*log(x^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^3)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
101,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2/(e*x+d)^2,x, algorithm=""maxima"")","-a^{2} {\left(\frac{d^{2}}{e^{4} x + d e^{3}} - \frac{x}{e^{2}} + \frac{2 \, d \log\left(e x + d\right)}{e^{3}}\right)} + \int \frac{b^{2} x^{2} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{2} \log\left(x^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{2}}{e^{2} x^{2} + 2 \, d e x + d^{2}}\,{d x}"," ",0,"-a^2*(d^2/(e^4*x + d*e^3) - x/e^2 + 2*d*log(e*x + d)/e^3) + integrate((b^2*x^2*log(x^n)^2 + 2*(b^2*log(c) + a*b)*x^2*log(x^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^2)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
102,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2/(e*x+d)^2,x, algorithm=""maxima"")","a^{2} {\left(\frac{d}{e^{3} x + d e^{2}} + \frac{\log\left(e x + d\right)}{e^{2}}\right)} + \int \frac{b^{2} x \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x \log\left(x^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x}{e^{2} x^{2} + 2 \, d e x + d^{2}}\,{d x}"," ",0,"a^2*(d/(e^3*x + d*e^2) + log(e*x + d)/e^2) + integrate((b^2*x*log(x^n)^2 + 2*(b^2*log(c) + a*b)*x*log(x^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
103,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/(e*x+d)^2,x, algorithm=""maxima"")","-2 \, a b n {\left(\frac{\log\left(e x + d\right)}{d e} - \frac{\log\left(x\right)}{d e}\right)} - b^{2} {\left(\frac{\log\left(x^{n}\right)^{2}}{e^{2} x + d e} - \int \frac{e x \log\left(c\right)^{2} + 2 \, {\left(d n + {\left(e n + e \log\left(c\right)\right)} x\right)} \log\left(x^{n}\right)}{e^{3} x^{3} + 2 \, d e^{2} x^{2} + d^{2} e x}\,{d x}\right)} - \frac{2 \, a b \log\left(c x^{n}\right)}{e^{2} x + d e} - \frac{a^{2}}{e^{2} x + d e}"," ",0,"-2*a*b*n*(log(e*x + d)/(d*e) - log(x)/(d*e)) - b^2*(log(x^n)^2/(e^2*x + d*e) - integrate((e*x*log(c)^2 + 2*(d*n + (e*n + e*log(c))*x)*log(x^n))/(e^3*x^3 + 2*d*e^2*x^2 + d^2*e*x), x)) - 2*a*b*log(c*x^n)/(e^2*x + d*e) - a^2/(e^2*x + d*e)","F",0
104,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(e*x+d)^2,x, algorithm=""maxima"")","a^{2} {\left(\frac{1}{d e x + d^{2}} - \frac{\log\left(e x + d\right)}{d^{2}} + \frac{\log\left(x\right)}{d^{2}}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e^{2} x^{3} + 2 \, d e x^{2} + d^{2} x}\,{d x}"," ",0,"a^2*(1/(d*e*x + d^2) - log(e*x + d)/d^2 + log(x)/d^2) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e^2*x^3 + 2*d*e*x^2 + d^2*x), x)","F",0
105,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^2/(e*x+d)^2,x, algorithm=""maxima"")","-a^{2} {\left(\frac{2 \, e x + d}{d^{2} e x^{2} + d^{3} x} - \frac{2 \, e \log\left(e x + d\right)}{d^{3}} + \frac{2 \, e \log\left(x\right)}{d^{3}}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e^{2} x^{4} + 2 \, d e x^{3} + d^{2} x^{2}}\,{d x}"," ",0,"-a^2*((2*e*x + d)/(d^2*e*x^2 + d^3*x) - 2*e*log(e*x + d)/d^3 + 2*e*log(x)/d^3) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e^2*x^4 + 2*d*e*x^3 + d^2*x^2), x)","F",0
106,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^3/(e*x+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{6 \, e^{2} x^{2} + 3 \, d e x - d^{2}}{d^{3} e x^{3} + d^{4} x^{2}} - \frac{6 \, e^{2} \log\left(e x + d\right)}{d^{4}} + \frac{6 \, e^{2} \log\left(x\right)}{d^{4}}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e^{2} x^{5} + 2 \, d e x^{4} + d^{2} x^{3}}\,{d x}"," ",0,"1/2*a^2*((6*e^2*x^2 + 3*d*e*x - d^2)/(d^3*e*x^3 + d^4*x^2) - 6*e^2*log(e*x + d)/d^4 + 6*e^2*log(x)/d^4) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e^2*x^5 + 2*d*e*x^4 + d^2*x^3), x)","F",0
107,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{1}{2} \, a^{2} {\left(\frac{6 \, d^{2} e x + 5 \, d^{3}}{e^{6} x^{2} + 2 \, d e^{5} x + d^{2} e^{4}} - \frac{2 \, x}{e^{3}} + \frac{6 \, d \log\left(e x + d\right)}{e^{4}}\right)} + \int \frac{b^{2} x^{3} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{3} \log\left(x^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{3}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}\,{d x}"," ",0,"-1/2*a^2*((6*d^2*e*x + 5*d^3)/(e^6*x^2 + 2*d*e^5*x + d^2*e^4) - 2*x/e^3 + 6*d*log(e*x + d)/e^4) + integrate((b^2*x^3*log(x^n)^2 + 2*(b^2*log(c) + a*b)*x^3*log(x^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^3)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
108,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{4 \, d e x + 3 \, d^{2}}{e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}} + \frac{2 \, \log\left(e x + d\right)}{e^{3}}\right)} + \int \frac{b^{2} x^{2} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{2} \log\left(x^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{2}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}\,{d x}"," ",0,"1/2*a^2*((4*d*e*x + 3*d^2)/(e^5*x^2 + 2*d*e^4*x + d^2*e^3) + 2*log(e*x + d)/e^3) + integrate((b^2*x^2*log(x^n)^2 + 2*(b^2*log(c) + a*b)*x^2*log(x^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^2)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
109,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""maxima"")","-a b n {\left(\frac{1}{e^{3} x + d e^{2}} + \frac{\log\left(e x + d\right)}{d e^{2}} - \frac{\log\left(x\right)}{d e^{2}}\right)} - \frac{1}{2} \, {\left(\frac{{\left(2 \, e x + d\right)} \log\left(x^{n}\right)^{2}}{e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}} - 2 \, \int \frac{e^{2} x^{2} \log\left(c\right)^{2} + {\left(3 \, d e n x + d^{2} n + 2 \, {\left(e^{2} n + e^{2} \log\left(c\right)\right)} x^{2}\right)} \log\left(x^{n}\right)}{e^{5} x^{4} + 3 \, d e^{4} x^{3} + 3 \, d^{2} e^{3} x^{2} + d^{3} e^{2} x}\,{d x}\right)} b^{2} - \frac{{\left(2 \, e x + d\right)} a b \log\left(c x^{n}\right)}{e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}} - \frac{{\left(2 \, e x + d\right)} a^{2}}{2 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}}"," ",0,"-a*b*n*(1/(e^3*x + d*e^2) + log(e*x + d)/(d*e^2) - log(x)/(d*e^2)) - 1/2*((2*e*x + d)*log(x^n)^2/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) - 2*integrate((e^2*x^2*log(c)^2 + (3*d*e*n*x + d^2*n + 2*(e^2*n + e^2*log(c))*x^2)*log(x^n))/(e^5*x^4 + 3*d*e^4*x^3 + 3*d^2*e^3*x^2 + d^3*e^2*x), x))*b^2 - (2*e*x + d)*a*b*log(c*x^n)/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) - 1/2*(2*e*x + d)*a^2/(e^4*x^2 + 2*d*e^3*x + d^2*e^2)","F",0
110,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""maxima"")","a b n {\left(\frac{1}{d e^{2} x + d^{2} e} - \frac{\log\left(e x + d\right)}{d^{2} e} + \frac{\log\left(x\right)}{d^{2} e}\right)} - \frac{1}{2} \, b^{2} {\left(\frac{\log\left(x^{n}\right)^{2}}{e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e} - 2 \, \int \frac{e x \log\left(c\right)^{2} + {\left(d n + {\left(e n + 2 \, e \log\left(c\right)\right)} x\right)} \log\left(x^{n}\right)}{e^{4} x^{4} + 3 \, d e^{3} x^{3} + 3 \, d^{2} e^{2} x^{2} + d^{3} e x}\,{d x}\right)} - \frac{a b \log\left(c x^{n}\right)}{e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e} - \frac{a^{2}}{2 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}}"," ",0,"a*b*n*(1/(d*e^2*x + d^2*e) - log(e*x + d)/(d^2*e) + log(x)/(d^2*e)) - 1/2*b^2*(log(x^n)^2/(e^3*x^2 + 2*d*e^2*x + d^2*e) - 2*integrate((e*x*log(c)^2 + (d*n + (e*n + 2*e*log(c))*x)*log(x^n))/(e^4*x^4 + 3*d*e^3*x^3 + 3*d^2*e^2*x^2 + d^3*e*x), x)) - a*b*log(c*x^n)/(e^3*x^2 + 2*d*e^2*x + d^2*e) - 1/2*a^2/(e^3*x^2 + 2*d*e^2*x + d^2*e)","F",0
111,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(e*x+d)^3,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{2 \, e x + 3 \, d}{d^{2} e^{2} x^{2} + 2 \, d^{3} e x + d^{4}} - \frac{2 \, \log\left(e x + d\right)}{d^{3}} + \frac{2 \, \log\left(x\right)}{d^{3}}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e^{3} x^{4} + 3 \, d e^{2} x^{3} + 3 \, d^{2} e x^{2} + d^{3} x}\,{d x}"," ",0,"1/2*a^2*((2*e*x + 3*d)/(d^2*e^2*x^2 + 2*d^3*e*x + d^4) - 2*log(e*x + d)/d^3 + 2*log(x)/d^3) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e^3*x^4 + 3*d*e^2*x^3 + 3*d^2*e*x^2 + d^3*x), x)","F",0
112,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^2/(e*x+d)^3,x, algorithm=""maxima"")","-\frac{1}{2} \, a^{2} {\left(\frac{6 \, e^{2} x^{2} + 9 \, d e x + 2 \, d^{2}}{d^{3} e^{2} x^{3} + 2 \, d^{4} e x^{2} + d^{5} x} - \frac{6 \, e \log\left(e x + d\right)}{d^{4}} + \frac{6 \, e \log\left(x\right)}{d^{4}}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e^{3} x^{5} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{3} + d^{3} x^{2}}\,{d x}"," ",0,"-1/2*a^2*((6*e^2*x^2 + 9*d*e*x + 2*d^2)/(d^3*e^2*x^3 + 2*d^4*e*x^2 + d^5*x) - 6*e*log(e*x + d)/d^4 + 6*e*log(x)/d^4) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e^3*x^5 + 3*d*e^2*x^4 + 3*d^2*e*x^3 + d^3*x^2), x)","F",0
113,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{1}{3} \, a^{2} {\left(\frac{18 \, d^{2} e^{2} x^{2} + 30 \, d^{3} e x + 13 \, d^{4}}{e^{8} x^{3} + 3 \, d e^{7} x^{2} + 3 \, d^{2} e^{6} x + d^{3} e^{5}} - \frac{3 \, x}{e^{4}} + \frac{12 \, d \log\left(e x + d\right)}{e^{5}}\right)} + \int \frac{b^{2} x^{4} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{4} \log\left(x^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{4}}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}\,{d x}"," ",0,"-1/3*a^2*((18*d^2*e^2*x^2 + 30*d^3*e*x + 13*d^4)/(e^8*x^3 + 3*d*e^7*x^2 + 3*d^2*e^6*x + d^3*e^5) - 3*x/e^4 + 12*d*log(e*x + d)/e^5) + integrate((b^2*x^4*log(x^n)^2 + 2*(b^2*log(c) + a*b)*x^4*log(x^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^4)/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
114,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""maxima"")","\frac{1}{6} \, a^{2} {\left(\frac{18 \, d e^{2} x^{2} + 27 \, d^{2} e x + 11 \, d^{3}}{e^{7} x^{3} + 3 \, d e^{6} x^{2} + 3 \, d^{2} e^{5} x + d^{3} e^{4}} + \frac{6 \, \log\left(e x + d\right)}{e^{4}}\right)} + \int \frac{b^{2} x^{3} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} x^{3} \log\left(x^{n}\right) + {\left(b^{2} \log\left(c\right)^{2} + 2 \, a b \log\left(c\right)\right)} x^{3}}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}\,{d x}"," ",0,"1/6*a^2*((18*d*e^2*x^2 + 27*d^2*e*x + 11*d^3)/(e^7*x^3 + 3*d*e^6*x^2 + 3*d^2*e^5*x + d^3*e^4) + 6*log(e*x + d)/e^4) + integrate((b^2*x^3*log(x^n)^2 + 2*(b^2*log(c) + a*b)*x^3*log(x^n) + (b^2*log(c)^2 + 2*a*b*log(c))*x^3)/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
115,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{1}{3} \, a b n {\left(\frac{4 \, e x + 3 \, d}{e^{5} x^{2} + 2 \, d e^{4} x + d^{2} e^{3}} + \frac{2 \, \log\left(e x + d\right)}{d e^{3}} - \frac{2 \, \log\left(x\right)}{d e^{3}}\right)} - \frac{1}{3} \, {\left(\frac{{\left(3 \, e^{2} x^{2} + 3 \, d e x + d^{2}\right)} \log\left(x^{n}\right)^{2}}{e^{6} x^{3} + 3 \, d e^{5} x^{2} + 3 \, d^{2} e^{4} x + d^{3} e^{3}} - 3 \, \int \frac{3 \, e^{3} x^{3} \log\left(c\right)^{2} + 2 \, {\left(6 \, d e^{2} n x^{2} + 4 \, d^{2} e n x + d^{3} n + 3 \, {\left(e^{3} n + e^{3} \log\left(c\right)\right)} x^{3}\right)} \log\left(x^{n}\right)}{3 \, {\left(e^{7} x^{5} + 4 \, d e^{6} x^{4} + 6 \, d^{2} e^{5} x^{3} + 4 \, d^{3} e^{4} x^{2} + d^{4} e^{3} x\right)}}\,{d x}\right)} b^{2} - \frac{2 \, {\left(3 \, e^{2} x^{2} + 3 \, d e x + d^{2}\right)} a b \log\left(c x^{n}\right)}{3 \, {\left(e^{6} x^{3} + 3 \, d e^{5} x^{2} + 3 \, d^{2} e^{4} x + d^{3} e^{3}\right)}} - \frac{{\left(3 \, e^{2} x^{2} + 3 \, d e x + d^{2}\right)} a^{2}}{3 \, {\left(e^{6} x^{3} + 3 \, d e^{5} x^{2} + 3 \, d^{2} e^{4} x + d^{3} e^{3}\right)}}"," ",0,"-1/3*a*b*n*((4*e*x + 3*d)/(e^5*x^2 + 2*d*e^4*x + d^2*e^3) + 2*log(e*x + d)/(d*e^3) - 2*log(x)/(d*e^3)) - 1/3*((3*e^2*x^2 + 3*d*e*x + d^2)*log(x^n)^2/(e^6*x^3 + 3*d*e^5*x^2 + 3*d^2*e^4*x + d^3*e^3) - 3*integrate(1/3*(3*e^3*x^3*log(c)^2 + 2*(6*d*e^2*n*x^2 + 4*d^2*e*n*x + d^3*n + 3*(e^3*n + e^3*log(c))*x^3)*log(x^n))/(e^7*x^5 + 4*d*e^6*x^4 + 6*d^2*e^5*x^3 + 4*d^3*e^4*x^2 + d^4*e^3*x), x))*b^2 - 2/3*(3*e^2*x^2 + 3*d*e*x + d^2)*a*b*log(c*x^n)/(e^6*x^3 + 3*d*e^5*x^2 + 3*d^2*e^4*x + d^3*e^3) - 1/3*(3*e^2*x^2 + 3*d*e*x + d^2)*a^2/(e^6*x^3 + 3*d*e^5*x^2 + 3*d^2*e^4*x + d^3*e^3)","F",0
116,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""maxima"")","\frac{1}{3} \, a b n {\left(\frac{x}{d e^{3} x^{2} + 2 \, d^{2} e^{2} x + d^{3} e} - \frac{\log\left(e x + d\right)}{d^{2} e^{2}} + \frac{\log\left(x\right)}{d^{2} e^{2}}\right)} - \frac{1}{6} \, {\left(\frac{{\left(3 \, e x + d\right)} \log\left(x^{n}\right)^{2}}{e^{5} x^{3} + 3 \, d e^{4} x^{2} + 3 \, d^{2} e^{3} x + d^{3} e^{2}} - 6 \, \int \frac{3 \, e^{2} x^{2} \log\left(c\right)^{2} + {\left(4 \, d e n x + d^{2} n + 3 \, {\left(e^{2} n + 2 \, e^{2} \log\left(c\right)\right)} x^{2}\right)} \log\left(x^{n}\right)}{3 \, {\left(e^{6} x^{5} + 4 \, d e^{5} x^{4} + 6 \, d^{2} e^{4} x^{3} + 4 \, d^{3} e^{3} x^{2} + d^{4} e^{2} x\right)}}\,{d x}\right)} b^{2} - \frac{{\left(3 \, e x + d\right)} a b \log\left(c x^{n}\right)}{3 \, {\left(e^{5} x^{3} + 3 \, d e^{4} x^{2} + 3 \, d^{2} e^{3} x + d^{3} e^{2}\right)}} - \frac{{\left(3 \, e x + d\right)} a^{2}}{6 \, {\left(e^{5} x^{3} + 3 \, d e^{4} x^{2} + 3 \, d^{2} e^{3} x + d^{3} e^{2}\right)}}"," ",0,"1/3*a*b*n*(x/(d*e^3*x^2 + 2*d^2*e^2*x + d^3*e) - log(e*x + d)/(d^2*e^2) + log(x)/(d^2*e^2)) - 1/6*((3*e*x + d)*log(x^n)^2/(e^5*x^3 + 3*d*e^4*x^2 + 3*d^2*e^3*x + d^3*e^2) - 6*integrate(1/3*(3*e^2*x^2*log(c)^2 + (4*d*e*n*x + d^2*n + 3*(e^2*n + 2*e^2*log(c))*x^2)*log(x^n))/(e^6*x^5 + 4*d*e^5*x^4 + 6*d^2*e^4*x^3 + 4*d^3*e^3*x^2 + d^4*e^2*x), x))*b^2 - 1/3*(3*e*x + d)*a*b*log(c*x^n)/(e^5*x^3 + 3*d*e^4*x^2 + 3*d^2*e^3*x + d^3*e^2) - 1/6*(3*e*x + d)*a^2/(e^5*x^3 + 3*d*e^4*x^2 + 3*d^2*e^3*x + d^3*e^2)","F",0
117,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/(e*x+d)^4,x, algorithm=""maxima"")","\frac{1}{3} \, a b n {\left(\frac{2 \, e x + 3 \, d}{d^{2} e^{3} x^{2} + 2 \, d^{3} e^{2} x + d^{4} e} - \frac{2 \, \log\left(e x + d\right)}{d^{3} e} + \frac{2 \, \log\left(x\right)}{d^{3} e}\right)} - \frac{1}{3} \, b^{2} {\left(\frac{\log\left(x^{n}\right)^{2}}{e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e} - 3 \, \int \frac{3 \, e x \log\left(c\right)^{2} + 2 \, {\left(d n + {\left(e n + 3 \, e \log\left(c\right)\right)} x\right)} \log\left(x^{n}\right)}{3 \, {\left(e^{5} x^{5} + 4 \, d e^{4} x^{4} + 6 \, d^{2} e^{3} x^{3} + 4 \, d^{3} e^{2} x^{2} + d^{4} e x\right)}}\,{d x}\right)} - \frac{2 \, a b \log\left(c x^{n}\right)}{3 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}} - \frac{a^{2}}{3 \, {\left(e^{4} x^{3} + 3 \, d e^{3} x^{2} + 3 \, d^{2} e^{2} x + d^{3} e\right)}}"," ",0,"1/3*a*b*n*((2*e*x + 3*d)/(d^2*e^3*x^2 + 2*d^3*e^2*x + d^4*e) - 2*log(e*x + d)/(d^3*e) + 2*log(x)/(d^3*e)) - 1/3*b^2*(log(x^n)^2/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) - 3*integrate(1/3*(3*e*x*log(c)^2 + 2*(d*n + (e*n + 3*e*log(c))*x)*log(x^n))/(e^5*x^5 + 4*d*e^4*x^4 + 6*d^2*e^3*x^3 + 4*d^3*e^2*x^2 + d^4*e*x), x)) - 2/3*a*b*log(c*x^n)/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e) - 1/3*a^2/(e^4*x^3 + 3*d*e^3*x^2 + 3*d^2*e^2*x + d^3*e)","F",0
118,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(e*x+d)^4,x, algorithm=""maxima"")","\frac{1}{6} \, a^{2} {\left(\frac{6 \, e^{2} x^{2} + 15 \, d e x + 11 \, d^{2}}{d^{3} e^{3} x^{3} + 3 \, d^{4} e^{2} x^{2} + 3 \, d^{5} e x + d^{6}} - \frac{6 \, \log\left(e x + d\right)}{d^{4}} + \frac{6 \, \log\left(x\right)}{d^{4}}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e^{4} x^{5} + 4 \, d e^{3} x^{4} + 6 \, d^{2} e^{2} x^{3} + 4 \, d^{3} e x^{2} + d^{4} x}\,{d x}"," ",0,"1/6*a^2*((6*e^2*x^2 + 15*d*e*x + 11*d^2)/(d^3*e^3*x^3 + 3*d^4*e^2*x^2 + 3*d^5*e*x + d^6) - 6*log(e*x + d)/d^4 + 6*log(x)/d^4) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e^4*x^5 + 4*d*e^3*x^4 + 6*d^2*e^2*x^3 + 4*d^3*e*x^2 + d^4*x), x)","F",0
119,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x^2/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{1}{3} \, a^{2} {\left(\frac{12 \, e^{3} x^{3} + 30 \, d e^{2} x^{2} + 22 \, d^{2} e x + 3 \, d^{3}}{d^{4} e^{3} x^{4} + 3 \, d^{5} e^{2} x^{3} + 3 \, d^{6} e x^{2} + d^{7} x} - \frac{12 \, e \log\left(e x + d\right)}{d^{5}} + \frac{12 \, e \log\left(x\right)}{d^{5}}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e^{4} x^{6} + 4 \, d e^{3} x^{5} + 6 \, d^{2} e^{2} x^{4} + 4 \, d^{3} e x^{3} + d^{4} x^{2}}\,{d x}"," ",0,"-1/3*a^2*((12*e^3*x^3 + 30*d*e^2*x^2 + 22*d^2*e*x + 3*d^3)/(d^4*e^3*x^4 + 3*d^5*e^2*x^3 + 3*d^6*e*x^2 + d^7*x) - 12*e*log(e*x + d)/d^5 + 12*e*log(x)/d^5) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e^4*x^6 + 4*d*e^3*x^5 + 6*d^2*e^2*x^4 + 4*d^3*e*x^3 + d^4*x^2), x)","F",0
120,1,132,0,0.714716," ","integrate(x*log(x)^2/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{d^{2} \log\left(x\right)^{2} - 2 \, {\left(e^{2} \log\left(x\right) + e^{2}\right)} x^{2} - 2 \, d^{2} + {\left(3 \, d e \log\left(x\right)^{2} - 2 \, d e \log\left(x\right) - 4 \, d e\right)} x}{6 \, {\left(d e^{5} x^{3} + 3 \, d^{2} e^{4} x^{2} + 3 \, d^{3} e^{3} x + d^{4} e^{2}\right)}} + \frac{\log\left(x\right)^{2}}{6 \, d^{2} e^{2}} - \frac{\log\left(\frac{e x}{d} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{e x}{d}\right)}{3 \, d^{2} e^{2}}"," ",0,"-1/6*(d^2*log(x)^2 - 2*(e^2*log(x) + e^2)*x^2 - 2*d^2 + (3*d*e*log(x)^2 - 2*d*e*log(x) - 4*d*e)*x)/(d*e^5*x^3 + 3*d^2*e^4*x^2 + 3*d^3*e^3*x + d^4*e^2) + 1/6*log(x)^2/(d^2*e^2) - 1/3*(log(e*x/d + 1)*log(x) + dilog(-e*x/d))/(d^2*e^2)","A",0
121,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3/x/(e*x+d),x, algorithm=""maxima"")","-a^{3} {\left(\frac{\log\left(e x + d\right)}{d} - \frac{\log\left(x\right)}{d}\right)} + \int \frac{b^{3} \log\left(c\right)^{3} + b^{3} \log\left(x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + 3 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left(x^{n}\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^{n}\right)}{e x^{2} + d x}\,{d x}"," ",0,"-a^3*(log(e*x + d)/d - log(x)/d) + integrate((b^3*log(c)^3 + b^3*log(x^n)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + 3*(b^3*log(c) + a*b^2)*log(x^n)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(x^n))/(e*x^2 + d*x), x)","F",0
122,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3/x/(e*x+d)^2,x, algorithm=""maxima"")","a^{3} {\left(\frac{1}{d e x + d^{2}} - \frac{\log\left(e x + d\right)}{d^{2}} + \frac{\log\left(x\right)}{d^{2}}\right)} + \int \frac{b^{3} \log\left(c\right)^{3} + b^{3} \log\left(x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + 3 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left(x^{n}\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^{n}\right)}{e^{2} x^{3} + 2 \, d e x^{2} + d^{2} x}\,{d x}"," ",0,"a^3*(1/(d*e*x + d^2) - log(e*x + d)/d^2 + log(x)/d^2) + integrate((b^3*log(c)^3 + b^3*log(x^n)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + 3*(b^3*log(c) + a*b^2)*log(x^n)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(x^n))/(e^2*x^3 + 2*d*e*x^2 + d^2*x), x)","F",0
123,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3/x/(e*x+d)^3,x, algorithm=""maxima"")","\frac{1}{2} \, a^{3} {\left(\frac{2 \, e x + 3 \, d}{d^{2} e^{2} x^{2} + 2 \, d^{3} e x + d^{4}} - \frac{2 \, \log\left(e x + d\right)}{d^{3}} + \frac{2 \, \log\left(x\right)}{d^{3}}\right)} + \int \frac{b^{3} \log\left(c\right)^{3} + b^{3} \log\left(x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + 3 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left(x^{n}\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^{n}\right)}{e^{3} x^{4} + 3 \, d e^{2} x^{3} + 3 \, d^{2} e x^{2} + d^{3} x}\,{d x}"," ",0,"1/2*a^3*((2*e*x + 3*d)/(d^2*e^2*x^2 + 2*d^3*e*x + d^4) - 2*log(e*x + d)/d^3 + 2*log(x)/d^3) + integrate((b^3*log(c)^3 + b^3*log(x^n)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + 3*(b^3*log(c) + a*b^2)*log(x^n)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(x^n))/(e^3*x^4 + 3*d*e^2*x^3 + 3*d^2*e*x^2 + d^3*x), x)","F",0
124,0,0,0,0.000000," ","integrate((e*x+d)*(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int {\left(e x + d\right)} \sqrt{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate((e*x + d)*sqrt(b*log(c*x^n) + a), x)","F",0
125,0,0,0,0.000000," ","integrate((e*x+d)^2*(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{2} \sqrt{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate((e*x + d)^2*sqrt(b*log(c*x^n) + a), x)","F",0
126,0,0,0,0.000000," ","integrate((e*x+d)^3*(a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{3} \sqrt{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate((e*x + d)^3*sqrt(b*log(c*x^n) + a), x)","F",0
127,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^(1/2)/(e*x+d),x, algorithm=""maxima"")","\int \frac{\sqrt{b \log\left(c x^{n}\right) + a}}{e x + d}\,{d x}"," ",0,"integrate(sqrt(b*log(c*x^n) + a)/(e*x + d), x)","F",0
128,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^(1/2)/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{b \log\left(c x^{n}\right) + a}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(b*log(c*x^n) + a)/(e*x + d)^2, x)","F",0
129,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^(1/2)/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{b \log\left(c x^{n}\right) + a}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(b*log(c*x^n) + a)/(e*x + d)^3, x)","F",0
130,1,227,0,1.374225," ","integrate(x^3*(a+b*log(c*x^n))*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{4}{99225} \, {\left(\frac{2520 \, d^{\frac{9}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{e^{4}} - \frac{1225 \, {\left(e x + d\right)}^{\frac{9}{2}} - 4500 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 5607 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} - 1680 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} - 5040 \, \sqrt{e x + d} d^{4}}{e^{4}}\right)} b n + \frac{2}{315} \, b {\left(\frac{35 \, {\left(e x + d\right)}^{\frac{9}{2}}}{e^{4}} - \frac{135 \, {\left(e x + d\right)}^{\frac{7}{2}} d}{e^{4}} + \frac{189 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2}}{e^{4}} - \frac{105 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3}}{e^{4}}\right)} \log\left(c x^{n}\right) + \frac{2}{315} \, a {\left(\frac{35 \, {\left(e x + d\right)}^{\frac{9}{2}}}{e^{4}} - \frac{135 \, {\left(e x + d\right)}^{\frac{7}{2}} d}{e^{4}} + \frac{189 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2}}{e^{4}} - \frac{105 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3}}{e^{4}}\right)}"," ",0,"4/99225*(2520*d^(9/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/e^4 - (1225*(e*x + d)^(9/2) - 4500*(e*x + d)^(7/2)*d + 5607*(e*x + d)^(5/2)*d^2 - 1680*(e*x + d)^(3/2)*d^3 - 5040*sqrt(e*x + d)*d^4)/e^4)*b*n + 2/315*b*(35*(e*x + d)^(9/2)/e^4 - 135*(e*x + d)^(7/2)*d/e^4 + 189*(e*x + d)^(5/2)*d^2/e^4 - 105*(e*x + d)^(3/2)*d^3/e^4)*log(c*x^n) + 2/315*a*(35*(e*x + d)^(9/2)/e^4 - 135*(e*x + d)^(7/2)*d/e^4 + 189*(e*x + d)^(5/2)*d^2/e^4 - 105*(e*x + d)^(3/2)*d^3/e^4)","A",0
131,1,184,0,1.358691," ","integrate(x^2*(a+b*log(c*x^n))*(e*x+d)^(1/2),x, algorithm=""maxima"")","-\frac{4}{11025} \, {\left(\frac{420 \, d^{\frac{7}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{e^{3}} + \frac{225 \, {\left(e x + d\right)}^{\frac{7}{2}} - 567 \, {\left(e x + d\right)}^{\frac{5}{2}} d + 280 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} + 840 \, \sqrt{e x + d} d^{3}}{e^{3}}\right)} b n + \frac{2}{105} \, b {\left(\frac{15 \, {\left(e x + d\right)}^{\frac{7}{2}}}{e^{3}} - \frac{42 \, {\left(e x + d\right)}^{\frac{5}{2}} d}{e^{3}} + \frac{35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2}}{e^{3}}\right)} \log\left(c x^{n}\right) + \frac{2}{105} \, a {\left(\frac{15 \, {\left(e x + d\right)}^{\frac{7}{2}}}{e^{3}} - \frac{42 \, {\left(e x + d\right)}^{\frac{5}{2}} d}{e^{3}} + \frac{35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2}}{e^{3}}\right)}"," ",0,"-4/11025*(420*d^(7/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/e^3 + (225*(e*x + d)^(7/2) - 567*(e*x + d)^(5/2)*d + 280*(e*x + d)^(3/2)*d^2 + 840*sqrt(e*x + d)*d^3)/e^3)*b*n + 2/105*b*(15*(e*x + d)^(7/2)/e^3 - 42*(e*x + d)^(5/2)*d/e^3 + 35*(e*x + d)^(3/2)*d^2/e^3)*log(c*x^n) + 2/105*a*(15*(e*x + d)^(7/2)/e^3 - 42*(e*x + d)^(5/2)*d/e^3 + 35*(e*x + d)^(3/2)*d^2/e^3)","A",0
132,1,143,0,1.578072," ","integrate(x*(a+b*log(c*x^n))*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{4}{225} \, {\left(\frac{15 \, d^{\frac{5}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{e^{2}} - \frac{9 \, {\left(e x + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d - 30 \, \sqrt{e x + d} d^{2}}{e^{2}}\right)} b n + \frac{2}{15} \, b {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}}}{e^{2}} - \frac{5 \, {\left(e x + d\right)}^{\frac{3}{2}} d}{e^{2}}\right)} \log\left(c x^{n}\right) + \frac{2}{15} \, a {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}}}{e^{2}} - \frac{5 \, {\left(e x + d\right)}^{\frac{3}{2}} d}{e^{2}}\right)}"," ",0,"4/225*(15*d^(5/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/e^2 - (9*(e*x + d)^(5/2) - 10*(e*x + d)^(3/2)*d - 30*sqrt(e*x + d)*d^2)/e^2)*b*n + 2/15*b*(3*(e*x + d)^(5/2)/e^2 - 5*(e*x + d)^(3/2)*d/e^2)*log(c*x^n) + 2/15*a*(3*(e*x + d)^(5/2)/e^2 - 5*(e*x + d)^(3/2)*d/e^2)","A",0
133,1,93,0,1.401734," ","integrate((a+b*log(c*x^n))*(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(e x + d\right)}^{\frac{3}{2}} b \log\left(c x^{n}\right)}{3 \, e} - \frac{2 \, {\left(3 \, d^{\frac{3}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right) + 2 \, {\left(e x + d\right)}^{\frac{3}{2}} + 6 \, \sqrt{e x + d} d\right)} b n}{9 \, e} + \frac{2 \, {\left(e x + d\right)}^{\frac{3}{2}} a}{3 \, e}"," ",0,"2/3*(e*x + d)^(3/2)*b*log(c*x^n)/e - 2/9*(3*d^(3/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d))) + 2*(e*x + d)^(3/2) + 6*sqrt(e*x + d)*d)*b*n/e + 2/3*(e*x + d)^(3/2)*a/e","A",0
134,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x+d)^(1/2)/x,x, algorithm=""maxima"")","{\left(\sqrt{d} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right) + 2 \, \sqrt{e x + d}\right)} a + b \int \frac{\sqrt{e x + d} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}}{x}\,{d x}"," ",0,"(sqrt(d)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d))) + 2*sqrt(e*x + d))*a + b*integrate(sqrt(e*x + d)*(log(c) + log(x^n))/x, x)","F",0
135,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x+d)^(1/2)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{e \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{\sqrt{d}} - \frac{2 \, \sqrt{e x + d}}{x}\right)} a + b \int \frac{\sqrt{e x + d} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}}{x^{2}}\,{d x}"," ",0,"1/2*(e*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/sqrt(d) - 2*sqrt(e*x + d)/x)*a + b*integrate(sqrt(e*x + d)*(log(c) + log(x^n))/x^2, x)","F",0
136,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x+d)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(\frac{e^{2} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, {\left({\left(e x + d\right)}^{\frac{3}{2}} e^{2} + \sqrt{e x + d} d e^{2}\right)}}{{\left(e x + d\right)}^{2} d - 2 \, {\left(e x + d\right)} d^{2} + d^{3}}\right)} a + b \int \frac{\sqrt{e x + d} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}}{x^{3}}\,{d x}"," ",0,"-1/8*(e^2*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(3/2) + 2*((e*x + d)^(3/2)*e^2 + sqrt(e*x + d)*d*e^2)/((e*x + d)^2*d - 2*(e*x + d)*d^2 + d^3))*a + b*integrate(sqrt(e*x + d)*(log(c) + log(x^n))/x^3, x)","F",0
137,1,239,0,1.330404," ","integrate(x^3*(e*x+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{4}{4002075} \, {\left(\frac{27720 \, d^{\frac{11}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{e^{4}} - \frac{33075 \, {\left(e x + d\right)}^{\frac{11}{2}} - 107800 \, {\left(e x + d\right)}^{\frac{9}{2}} d + 106425 \, {\left(e x + d\right)}^{\frac{7}{2}} d^{2} - 11088 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{3} - 18480 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{4} - 55440 \, \sqrt{e x + d} d^{5}}{e^{4}}\right)} b n + \frac{2}{1155} \, {\left(\frac{105 \, {\left(e x + d\right)}^{\frac{11}{2}}}{e^{4}} - \frac{385 \, {\left(e x + d\right)}^{\frac{9}{2}} d}{e^{4}} + \frac{495 \, {\left(e x + d\right)}^{\frac{7}{2}} d^{2}}{e^{4}} - \frac{231 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{3}}{e^{4}}\right)} b \log\left(c x^{n}\right) + \frac{2}{1155} \, {\left(\frac{105 \, {\left(e x + d\right)}^{\frac{11}{2}}}{e^{4}} - \frac{385 \, {\left(e x + d\right)}^{\frac{9}{2}} d}{e^{4}} + \frac{495 \, {\left(e x + d\right)}^{\frac{7}{2}} d^{2}}{e^{4}} - \frac{231 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{3}}{e^{4}}\right)} a"," ",0,"4/4002075*(27720*d^(11/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/e^4 - (33075*(e*x + d)^(11/2) - 107800*(e*x + d)^(9/2)*d + 106425*(e*x + d)^(7/2)*d^2 - 11088*(e*x + d)^(5/2)*d^3 - 18480*(e*x + d)^(3/2)*d^4 - 55440*sqrt(e*x + d)*d^5)/e^4)*b*n + 2/1155*(105*(e*x + d)^(11/2)/e^4 - 385*(e*x + d)^(9/2)*d/e^4 + 495*(e*x + d)^(7/2)*d^2/e^4 - 231*(e*x + d)^(5/2)*d^3/e^4)*b*log(c*x^n) + 2/1155*(105*(e*x + d)^(11/2)/e^4 - 385*(e*x + d)^(9/2)*d/e^4 + 495*(e*x + d)^(7/2)*d^2/e^4 - 231*(e*x + d)^(5/2)*d^3/e^4)*a","A",0
138,1,196,0,1.532054," ","integrate(x^2*(e*x+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{4}{99225} \, {\left(\frac{1260 \, d^{\frac{9}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{e^{3}} + \frac{1225 \, {\left(e x + d\right)}^{\frac{9}{2}} - 2475 \, {\left(e x + d\right)}^{\frac{7}{2}} d + 504 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2} + 840 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{3} + 2520 \, \sqrt{e x + d} d^{4}}{e^{3}}\right)} b n + \frac{2}{315} \, {\left(\frac{35 \, {\left(e x + d\right)}^{\frac{9}{2}}}{e^{3}} - \frac{90 \, {\left(e x + d\right)}^{\frac{7}{2}} d}{e^{3}} + \frac{63 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2}}{e^{3}}\right)} b \log\left(c x^{n}\right) + \frac{2}{315} \, {\left(\frac{35 \, {\left(e x + d\right)}^{\frac{9}{2}}}{e^{3}} - \frac{90 \, {\left(e x + d\right)}^{\frac{7}{2}} d}{e^{3}} + \frac{63 \, {\left(e x + d\right)}^{\frac{5}{2}} d^{2}}{e^{3}}\right)} a"," ",0,"-4/99225*(1260*d^(9/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/e^3 + (1225*(e*x + d)^(9/2) - 2475*(e*x + d)^(7/2)*d + 504*(e*x + d)^(5/2)*d^2 + 840*(e*x + d)^(3/2)*d^3 + 2520*sqrt(e*x + d)*d^4)/e^3)*b*n + 2/315*(35*(e*x + d)^(9/2)/e^3 - 90*(e*x + d)^(7/2)*d/e^3 + 63*(e*x + d)^(5/2)*d^2/e^3)*b*log(c*x^n) + 2/315*(35*(e*x + d)^(9/2)/e^3 - 90*(e*x + d)^(7/2)*d/e^3 + 63*(e*x + d)^(5/2)*d^2/e^3)*a","A",0
139,1,155,0,1.245912," ","integrate(x*(e*x+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{4}{3675} \, {\left(\frac{105 \, d^{\frac{7}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{e^{2}} - \frac{75 \, {\left(e x + d\right)}^{\frac{7}{2}} - 42 \, {\left(e x + d\right)}^{\frac{5}{2}} d - 70 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} - 210 \, \sqrt{e x + d} d^{3}}{e^{2}}\right)} b n + \frac{2}{35} \, {\left(\frac{5 \, {\left(e x + d\right)}^{\frac{7}{2}}}{e^{2}} - \frac{7 \, {\left(e x + d\right)}^{\frac{5}{2}} d}{e^{2}}\right)} b \log\left(c x^{n}\right) + \frac{2}{35} \, {\left(\frac{5 \, {\left(e x + d\right)}^{\frac{7}{2}}}{e^{2}} - \frac{7 \, {\left(e x + d\right)}^{\frac{5}{2}} d}{e^{2}}\right)} a"," ",0,"4/3675*(105*d^(7/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/e^2 - (75*(e*x + d)^(7/2) - 42*(e*x + d)^(5/2)*d - 70*(e*x + d)^(3/2)*d^2 - 210*sqrt(e*x + d)*d^3)/e^2)*b*n + 2/35*(5*(e*x + d)^(7/2)/e^2 - 7*(e*x + d)^(5/2)*d/e^2)*b*log(c*x^n) + 2/35*(5*(e*x + d)^(7/2)/e^2 - 7*(e*x + d)^(5/2)*d/e^2)*a","A",0
140,1,105,0,1.324188," ","integrate((e*x+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{2 \, {\left(e x + d\right)}^{\frac{5}{2}} b \log\left(c x^{n}\right)}{5 \, e} + \frac{2 \, {\left(e x + d\right)}^{\frac{5}{2}} a}{5 \, e} - \frac{2 \, {\left(15 \, d^{\frac{5}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right) + 6 \, {\left(e x + d\right)}^{\frac{5}{2}} + 10 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 30 \, \sqrt{e x + d} d^{2}\right)} b n}{75 \, e}"," ",0,"2/5*(e*x + d)^(5/2)*b*log(c*x^n)/e + 2/5*(e*x + d)^(5/2)*a/e - 2/75*(15*d^(5/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d))) + 6*(e*x + d)^(5/2) + 10*(e*x + d)^(3/2)*d + 30*sqrt(e*x + d)*d^2)*b*n/e","A",0
141,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(3 \, d^{\frac{3}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right) + 2 \, {\left(e x + d\right)}^{\frac{3}{2}} + 6 \, \sqrt{e x + d} d\right)} a + b \int \frac{{\left(e x \log\left(c\right) + d \log\left(c\right) + {\left(e x + d\right)} \log\left(x^{n}\right)\right)} \sqrt{e x + d}}{x}\,{d x}"," ",0,"1/3*(3*d^(3/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d))) + 2*(e*x + d)^(3/2) + 6*sqrt(e*x + d)*d)*a + b*integrate((e*x*log(c) + d*log(c) + (e*x + d)*log(x^n))*sqrt(e*x + d)/x, x)","F",0
142,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(a+b*log(c*x^n))/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(3 \, \sqrt{d} e \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right) + 4 \, \sqrt{e x + d} e - \frac{2 \, \sqrt{e x + d} d}{x}\right)} a + b \int \frac{{\left(e x \log\left(c\right) + d \log\left(c\right) + {\left(e x + d\right)} \log\left(x^{n}\right)\right)} \sqrt{e x + d}}{x^{2}}\,{d x}"," ",0,"1/2*(3*sqrt(d)*e*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d))) + 4*sqrt(e*x + d)*e - 2*sqrt(e*x + d)*d/x)*a + b*integrate((e*x*log(c) + d*log(c) + (e*x + d)*log(x^n))*sqrt(e*x + d)/x^2, x)","F",0
143,0,0,0,0.000000," ","integrate((e*x+d)^(3/2)*(a+b*log(c*x^n))/x^3,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(\frac{3 \, e^{2} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{\sqrt{d}} - \frac{2 \, {\left(5 \, {\left(e x + d\right)}^{\frac{3}{2}} e^{2} - 3 \, \sqrt{e x + d} d e^{2}\right)}}{{\left(e x + d\right)}^{2} - 2 \, {\left(e x + d\right)} d + d^{2}}\right)} a + b \int \frac{{\left(e x \log\left(c\right) + d \log\left(c\right) + {\left(e x + d\right)} \log\left(x^{n}\right)\right)} \sqrt{e x + d}}{x^{3}}\,{d x}"," ",0,"1/8*(3*e^2*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/sqrt(d) - 2*(5*(e*x + d)^(3/2)*e^2 - 3*sqrt(e*x + d)*d*e^2)/((e*x + d)^2 - 2*(e*x + d)*d + d^2))*a + b*integrate((e*x*log(c) + d*log(c) + (e*x + d)*log(x^n))*sqrt(e*x + d)/x^3, x)","F",0
144,1,215,0,1.448900," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{4}{3675} \, b n {\left(\frac{840 \, d^{\frac{7}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{e^{4}} - \frac{75 \, {\left(e x + d\right)}^{\frac{7}{2}} - 336 \, {\left(e x + d\right)}^{\frac{5}{2}} d + 665 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2} - 1680 \, \sqrt{e x + d} d^{3}}{e^{4}}\right)} + \frac{2}{35} \, b {\left(\frac{5 \, {\left(e x + d\right)}^{\frac{7}{2}}}{e^{4}} - \frac{21 \, {\left(e x + d\right)}^{\frac{5}{2}} d}{e^{4}} + \frac{35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2}}{e^{4}} - \frac{35 \, \sqrt{e x + d} d^{3}}{e^{4}}\right)} \log\left(c x^{n}\right) + \frac{2}{35} \, a {\left(\frac{5 \, {\left(e x + d\right)}^{\frac{7}{2}}}{e^{4}} - \frac{21 \, {\left(e x + d\right)}^{\frac{5}{2}} d}{e^{4}} + \frac{35 \, {\left(e x + d\right)}^{\frac{3}{2}} d^{2}}{e^{4}} - \frac{35 \, \sqrt{e x + d} d^{3}}{e^{4}}\right)}"," ",0,"4/3675*b*n*(840*d^(7/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/e^4 - (75*(e*x + d)^(7/2) - 336*(e*x + d)^(5/2)*d + 665*(e*x + d)^(3/2)*d^2 - 1680*sqrt(e*x + d)*d^3)/e^4) + 2/35*b*(5*(e*x + d)^(7/2)/e^4 - 21*(e*x + d)^(5/2)*d/e^4 + 35*(e*x + d)^(3/2)*d^2/e^4 - 35*sqrt(e*x + d)*d^3/e^4)*log(c*x^n) + 2/35*a*(5*(e*x + d)^(7/2)/e^4 - 21*(e*x + d)^(5/2)*d/e^4 + 35*(e*x + d)^(3/2)*d^2/e^4 - 35*sqrt(e*x + d)*d^3/e^4)","A",0
145,1,172,0,1.329236," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^(1/2),x, algorithm=""maxima"")","-\frac{4}{225} \, b n {\left(\frac{60 \, d^{\frac{5}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{e^{3}} + \frac{9 \, {\left(e x + d\right)}^{\frac{5}{2}} - 35 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 120 \, \sqrt{e x + d} d^{2}}{e^{3}}\right)} + \frac{2}{15} \, b {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}}}{e^{3}} - \frac{10 \, {\left(e x + d\right)}^{\frac{3}{2}} d}{e^{3}} + \frac{15 \, \sqrt{e x + d} d^{2}}{e^{3}}\right)} \log\left(c x^{n}\right) + \frac{2}{15} \, a {\left(\frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}}}{e^{3}} - \frac{10 \, {\left(e x + d\right)}^{\frac{3}{2}} d}{e^{3}} + \frac{15 \, \sqrt{e x + d} d^{2}}{e^{3}}\right)}"," ",0,"-4/225*b*n*(60*d^(5/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/e^3 + (9*(e*x + d)^(5/2) - 35*(e*x + d)^(3/2)*d + 120*sqrt(e*x + d)*d^2)/e^3) + 2/15*b*(3*(e*x + d)^(5/2)/e^3 - 10*(e*x + d)^(3/2)*d/e^3 + 15*sqrt(e*x + d)*d^2/e^3)*log(c*x^n) + 2/15*a*(3*(e*x + d)^(5/2)/e^3 - 10*(e*x + d)^(3/2)*d/e^3 + 15*sqrt(e*x + d)*d^2/e^3)","A",0
146,1,127,0,1.231213," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{4}{9} \, b n {\left(\frac{3 \, d^{\frac{3}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{e^{2}} - \frac{{\left(e x + d\right)}^{\frac{3}{2}} - 6 \, \sqrt{e x + d} d}{e^{2}}\right)} + \frac{2}{3} \, b {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}}}{e^{2}} - \frac{3 \, \sqrt{e x + d} d}{e^{2}}\right)} \log\left(c x^{n}\right) + \frac{2}{3} \, a {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}}}{e^{2}} - \frac{3 \, \sqrt{e x + d} d}{e^{2}}\right)}"," ",0,"4/9*b*n*(3*d^(3/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/e^2 - ((e*x + d)^(3/2) - 6*sqrt(e*x + d)*d)/e^2) + 2/3*b*((e*x + d)^(3/2)/e^2 - 3*sqrt(e*x + d)*d/e^2)*log(c*x^n) + 2/3*a*((e*x + d)^(3/2)/e^2 - 3*sqrt(e*x + d)*d/e^2)","A",0
147,1,82,0,1.351646," ","integrate((a+b*log(c*x^n))/(e*x+d)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\sqrt{d} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right) + 2 \, \sqrt{e x + d}\right)} b n}{e} + \frac{2 \, \sqrt{e x + d} b \log\left(c x^{n}\right)}{e} + \frac{2 \, \sqrt{e x + d} a}{e}"," ",0,"-2*(sqrt(d)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d))) + 2*sqrt(e*x + d))*b*n/e + 2*sqrt(e*x + d)*b*log(c*x^n)/e + 2*sqrt(e*x + d)*a/e","A",0
148,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^(1/2),x, algorithm=""maxima"")","b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{\sqrt{e x + d} x}\,{d x} + \frac{a \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{\sqrt{d}}"," ",0,"b*integrate((log(c) + log(x^n))/(sqrt(e*x + d)*x), x) + a*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/sqrt(d)","F",0
149,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{2 \, \sqrt{e x + d} e}{{\left(e x + d\right)} d - d^{2}} + \frac{e \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{3}{2}}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{\sqrt{e x + d} x^{2}}\,{d x}"," ",0,"-1/2*a*(2*sqrt(e*x + d)*e/((e*x + d)*d - d^2) + e*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(3/2)) + b*integrate((log(c) + log(x^n))/(sqrt(e*x + d)*x^2), x)","F",0
150,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{8} \, a {\left(\frac{3 \, e^{2} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, {\left(e x + d\right)}^{\frac{3}{2}} e^{2} - 5 \, \sqrt{e x + d} d e^{2}\right)}}{{\left(e x + d\right)}^{2} d^{2} - 2 \, {\left(e x + d\right)} d^{3} + d^{4}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{\sqrt{e x + d} x^{3}}\,{d x}"," ",0,"1/8*a*(3*e^2*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(5/2) + 2*(3*(e*x + d)^(3/2)*e^2 - 5*sqrt(e*x + d)*d*e^2)/((e*x + d)^2*d^2 - 2*(e*x + d)*d^3 + d^4)) + b*integrate((log(c) + log(x^n))/(sqrt(e*x + d)*x^3), x)","F",0
151,1,200,0,1.255301," ","integrate(x^3*(a+b*log(c*x^n))/(e*x+d)^(3/2),x, algorithm=""maxima"")","-\frac{4}{75} \, b n {\left(\frac{120 \, d^{\frac{5}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{e^{4}} + \frac{3 \, {\left(e x + d\right)}^{\frac{5}{2}} - 20 \, {\left(e x + d\right)}^{\frac{3}{2}} d + 165 \, \sqrt{e x + d} d^{2}}{e^{4}}\right)} + \frac{2}{5} \, b {\left(\frac{{\left(e x + d\right)}^{\frac{5}{2}}}{e^{4}} - \frac{5 \, {\left(e x + d\right)}^{\frac{3}{2}} d}{e^{4}} + \frac{15 \, \sqrt{e x + d} d^{2}}{e^{4}} + \frac{5 \, d^{3}}{\sqrt{e x + d} e^{4}}\right)} \log\left(c x^{n}\right) + \frac{2}{5} \, a {\left(\frac{{\left(e x + d\right)}^{\frac{5}{2}}}{e^{4}} - \frac{5 \, {\left(e x + d\right)}^{\frac{3}{2}} d}{e^{4}} + \frac{15 \, \sqrt{e x + d} d^{2}}{e^{4}} + \frac{5 \, d^{3}}{\sqrt{e x + d} e^{4}}\right)}"," ",0,"-4/75*b*n*(120*d^(5/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/e^4 + (3*(e*x + d)^(5/2) - 20*(e*x + d)^(3/2)*d + 165*sqrt(e*x + d)*d^2)/e^4) + 2/5*b*((e*x + d)^(5/2)/e^4 - 5*(e*x + d)^(3/2)*d/e^4 + 15*sqrt(e*x + d)*d^2/e^4 + 5*d^3/(sqrt(e*x + d)*e^4))*log(c*x^n) + 2/5*a*((e*x + d)^(5/2)/e^4 - 5*(e*x + d)^(3/2)*d/e^4 + 15*sqrt(e*x + d)*d^2/e^4 + 5*d^3/(sqrt(e*x + d)*e^4))","A",0
152,1,157,0,1.446063," ","integrate(x^2*(a+b*log(c*x^n))/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{4}{9} \, b n {\left(\frac{12 \, d^{\frac{3}{2}} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{e^{3}} - \frac{{\left(e x + d\right)}^{\frac{3}{2}} - 15 \, \sqrt{e x + d} d}{e^{3}}\right)} + \frac{2}{3} \, b {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}}}{e^{3}} - \frac{6 \, \sqrt{e x + d} d}{e^{3}} - \frac{3 \, d^{2}}{\sqrt{e x + d} e^{3}}\right)} \log\left(c x^{n}\right) + \frac{2}{3} \, a {\left(\frac{{\left(e x + d\right)}^{\frac{3}{2}}}{e^{3}} - \frac{6 \, \sqrt{e x + d} d}{e^{3}} - \frac{3 \, d^{2}}{\sqrt{e x + d} e^{3}}\right)}"," ",0,"4/9*b*n*(12*d^(3/2)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/e^3 - ((e*x + d)^(3/2) - 15*sqrt(e*x + d)*d)/e^3) + 2/3*b*((e*x + d)^(3/2)/e^3 - 6*sqrt(e*x + d)*d/e^3 - 3*d^2/(sqrt(e*x + d)*e^3))*log(c*x^n) + 2/3*a*((e*x + d)^(3/2)/e^3 - 6*sqrt(e*x + d)*d/e^3 - 3*d^2/(sqrt(e*x + d)*e^3))","A",0
153,1,112,0,1.424876," ","integrate(x*(a+b*log(c*x^n))/(e*x+d)^(3/2),x, algorithm=""maxima"")","-4 \, b n {\left(\frac{\sqrt{d} \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{e^{2}} + \frac{\sqrt{e x + d}}{e^{2}}\right)} + 2 \, b {\left(\frac{\sqrt{e x + d}}{e^{2}} + \frac{d}{\sqrt{e x + d} e^{2}}\right)} \log\left(c x^{n}\right) + 2 \, a {\left(\frac{\sqrt{e x + d}}{e^{2}} + \frac{d}{\sqrt{e x + d} e^{2}}\right)}"," ",0,"-4*b*n*(sqrt(d)*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/e^2 + sqrt(e*x + d)/e^2) + 2*b*(sqrt(e*x + d)/e^2 + d/(sqrt(e*x + d)*e^2))*log(c*x^n) + 2*a*(sqrt(e*x + d)/e^2 + d/(sqrt(e*x + d)*e^2))","A",0
154,1,71,0,1.558779," ","integrate((a+b*log(c*x^n))/(e*x+d)^(3/2),x, algorithm=""maxima"")","\frac{2 \, b n \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{\sqrt{d} e} - \frac{2 \, b \log\left(c x^{n}\right)}{\sqrt{e x + d} e} - \frac{2 \, a}{\sqrt{e x + d} e}"," ",0,"2*b*n*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/(sqrt(d)*e) - 2*b*log(c*x^n)/(sqrt(e*x + d)*e) - 2*a/(sqrt(e*x + d)*e)","A",0
155,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x+d)^(3/2),x, algorithm=""maxima"")","a {\left(\frac{\log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2}{\sqrt{e x + d} d}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e x^{2} + d x\right)} \sqrt{e x + d}}\,{d x}"," ",0,"a*(log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(3/2) + 2/(sqrt(e*x + d)*d)) + b*integrate((log(c) + log(x^n))/((e*x^2 + d*x)*sqrt(e*x + d)), x)","F",0
156,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x+d)^(3/2),x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{2 \, {\left(3 \, {\left(e x + d\right)} e - 2 \, d e\right)}}{{\left(e x + d\right)}^{\frac{3}{2}} d^{2} - \sqrt{e x + d} d^{3}} + \frac{3 \, e \log\left(\frac{\sqrt{e x + d} - \sqrt{d}}{\sqrt{e x + d} + \sqrt{d}}\right)}{d^{\frac{5}{2}}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e x^{3} + d x^{2}\right)} \sqrt{e x + d}}\,{d x}"," ",0,"-1/2*a*(2*(3*(e*x + d)*e - 2*d*e)/((e*x + d)^(3/2)*d^2 - sqrt(e*x + d)*d^3) + 3*e*log((sqrt(e*x + d) - sqrt(d))/(sqrt(e*x + d) + sqrt(d)))/d^(5/2)) + b*integrate((log(c) + log(x^n))/((e*x^3 + d*x^2)*sqrt(e*x + d)), x)","F",0
157,0,0,0,0.000000," ","integrate(x^2/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(e x + d\right)} {\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(x^2/((e*x + d)*(b*log(c*x^n) + a)), x)","F",0
158,0,0,0,0.000000," ","integrate(x/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{x}{{\left(e x + d\right)} {\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(x/((e*x + d)*(b*log(c*x^n) + a)), x)","F",0
159,0,0,0,0.000000," ","integrate(1/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(e x + d\right)} {\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((e*x + d)*(b*log(c*x^n) + a)), x)","F",0
160,0,0,0,0.000000," ","integrate(1/x/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(e x + d\right)} {\left(b \log\left(c x^{n}\right) + a\right)} x}\,{d x}"," ",0,"integrate(1/((e*x + d)*(b*log(c*x^n) + a)*x), x)","F",0
161,0,0,0,0.000000," ","integrate(1/x^2/(e*x+d)/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(e x + d\right)} {\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((e*x + d)*(b*log(c*x^n) + a)*x^2), x)","F",0
162,1,271,0,0.877148," ","integrate((f*x)^m*(e*x+d)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{b e^{3} f^{m} x^{4} x^{m} \log\left(c x^{n}\right)}{m + 4} + \frac{a e^{3} f^{m} x^{4} x^{m}}{m + 4} - \frac{b e^{3} f^{m} n x^{4} x^{m}}{{\left(m + 4\right)}^{2}} + \frac{3 \, b d e^{2} f^{m} x^{3} x^{m} \log\left(c x^{n}\right)}{m + 3} + \frac{3 \, a d e^{2} f^{m} x^{3} x^{m}}{m + 3} - \frac{3 \, b d e^{2} f^{m} n x^{3} x^{m}}{{\left(m + 3\right)}^{2}} + \frac{3 \, b d^{2} e f^{m} x^{2} x^{m} \log\left(c x^{n}\right)}{m + 2} + \frac{3 \, a d^{2} e f^{m} x^{2} x^{m}}{m + 2} - \frac{3 \, b d^{2} e f^{m} n x^{2} x^{m}}{{\left(m + 2\right)}^{2}} - \frac{b d^{3} f^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{\left(f x\right)^{m + 1} b d^{3} \log\left(c x^{n}\right)}{f {\left(m + 1\right)}} + \frac{\left(f x\right)^{m + 1} a d^{3}}{f {\left(m + 1\right)}}"," ",0,"b*e^3*f^m*x^4*x^m*log(c*x^n)/(m + 4) + a*e^3*f^m*x^4*x^m/(m + 4) - b*e^3*f^m*n*x^4*x^m/(m + 4)^2 + 3*b*d*e^2*f^m*x^3*x^m*log(c*x^n)/(m + 3) + 3*a*d*e^2*f^m*x^3*x^m/(m + 3) - 3*b*d*e^2*f^m*n*x^3*x^m/(m + 3)^2 + 3*b*d^2*e*f^m*x^2*x^m*log(c*x^n)/(m + 2) + 3*a*d^2*e*f^m*x^2*x^m/(m + 2) - 3*b*d^2*e*f^m*n*x^2*x^m/(m + 2)^2 - b*d^3*f^m*n*x*x^m/(m + 1)^2 + (f*x)^(m + 1)*b*d^3*log(c*x^n)/(f*(m + 1)) + (f*x)^(m + 1)*a*d^3/(f*(m + 1))","A",0
163,1,195,0,0.867641," ","integrate((f*x)^m*(e*x+d)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{b e^{2} f^{m} x^{3} x^{m} \log\left(c x^{n}\right)}{m + 3} + \frac{a e^{2} f^{m} x^{3} x^{m}}{m + 3} - \frac{b e^{2} f^{m} n x^{3} x^{m}}{{\left(m + 3\right)}^{2}} + \frac{2 \, b d e f^{m} x^{2} x^{m} \log\left(c x^{n}\right)}{m + 2} + \frac{2 \, a d e f^{m} x^{2} x^{m}}{m + 2} - \frac{2 \, b d e f^{m} n x^{2} x^{m}}{{\left(m + 2\right)}^{2}} - \frac{b d^{2} f^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{\left(f x\right)^{m + 1} b d^{2} \log\left(c x^{n}\right)}{f {\left(m + 1\right)}} + \frac{\left(f x\right)^{m + 1} a d^{2}}{f {\left(m + 1\right)}}"," ",0,"b*e^2*f^m*x^3*x^m*log(c*x^n)/(m + 3) + a*e^2*f^m*x^3*x^m/(m + 3) - b*e^2*f^m*n*x^3*x^m/(m + 3)^2 + 2*b*d*e*f^m*x^2*x^m*log(c*x^n)/(m + 2) + 2*a*d*e*f^m*x^2*x^m/(m + 2) - 2*b*d*e*f^m*n*x^2*x^m/(m + 2)^2 - b*d^2*f^m*n*x*x^m/(m + 1)^2 + (f*x)^(m + 1)*b*d^2*log(c*x^n)/(f*(m + 1)) + (f*x)^(m + 1)*a*d^2/(f*(m + 1))","A",0
164,1,119,0,0.643118," ","integrate((f*x)^m*(e*x+d)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{b e f^{m} x^{2} x^{m} \log\left(c x^{n}\right)}{m + 2} + \frac{a e f^{m} x^{2} x^{m}}{m + 2} - \frac{b e f^{m} n x^{2} x^{m}}{{\left(m + 2\right)}^{2}} - \frac{b d f^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{\left(f x\right)^{m + 1} b d \log\left(c x^{n}\right)}{f {\left(m + 1\right)}} + \frac{\left(f x\right)^{m + 1} a d}{f {\left(m + 1\right)}}"," ",0,"b*e*f^m*x^2*x^m*log(c*x^n)/(m + 2) + a*e*f^m*x^2*x^m/(m + 2) - b*e*f^m*n*x^2*x^m/(m + 2)^2 - b*d*f^m*n*x*x^m/(m + 1)^2 + (f*x)^(m + 1)*b*d*log(c*x^n)/(f*(m + 1)) + (f*x)^(m + 1)*a*d/(f*(m + 1))","A",0
165,1,57,0,0.672621," ","integrate((f*x)^m*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{b f^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{\left(f x\right)^{m + 1} b \log\left(c x^{n}\right)}{f {\left(m + 1\right)}} + \frac{\left(f x\right)^{m + 1} a}{f {\left(m + 1\right)}}"," ",0,"-b*f^m*n*x*x^m/(m + 1)^2 + (f*x)^(m + 1)*b*log(c*x^n)/(f*(m + 1)) + (f*x)^(m + 1)*a/(f*(m + 1))","A",0
166,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \left(f x\right)^{m}}{e x + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(f*x)^m/(e*x + d), x)","F",0
167,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \left(f x\right)^{m}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(f*x)^m/(e*x + d)^2, x)","F",0
168,0,0,0,0.000000," ","integrate(x*(b*x+a)^m*log(c*x^n),x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(m + 1\right)} x^{2} + a b m x - a^{2}\right)} {\left(b x + a\right)}^{m} \log\left(x^{n}\right)}{{\left(m^{2} + 3 \, m + 2\right)} b^{2}} + \frac{-\frac{{\left(b x + a\right)}^{m + 1} a m n}{m + 1} + \int -\frac{{\left({\left(m n - {\left(m^{2} + 3 \, m + 2\right)} \log\left(c\right) + n\right)} b^{2} x^{2} - a^{2} n\right)} {\left(b x + a\right)}^{m}}{x}\,{d x}}{{\left(m^{2} + 3 \, m + 2\right)} b^{2}}"," ",0,"(b^2*(m + 1)*x^2 + a*b*m*x - a^2)*(b*x + a)^m*log(x^n)/((m^2 + 3*m + 2)*b^2) + integrate(-(a*b*m*n*x + (m*n - (m^2 + 3*m + 2)*log(c) + n)*b^2*x^2 - a^2*n)*(b*x + a)^m/x, x)/((m^2 + 3*m + 2)*b^2)","F",0
169,0,0,0,0.000000," ","integrate((b*x+a)^m*log(c*x^n),x, algorithm=""maxima"")","\frac{{\left(b x + a\right)} {\left(b x + a\right)}^{m} \log\left(x^{n}\right)}{b {\left(m + 1\right)}} + \frac{-a n \int \frac{{\left(b x + a\right)}^{m}}{x}\,{d x} + \frac{{\left(b x + a\right)}^{m + 1} m \log\left(c\right)}{m + 1} - \frac{{\left(b x + a\right)}^{m + 1} n}{m + 1} + \frac{{\left(b x + a\right)}^{m + 1} \log\left(c\right)}{m + 1}}{b {\left(m + 1\right)}}"," ",0,"(b*x + a)*(b*x + a)^m*log(x^n)/(b*(m + 1)) + integrate((((m + 1)*log(c) - n)*b*x - a*n)*(b*x + a)^m/x, x)/(b*(m + 1))","F",0
170,0,0,0,0.000000," ","integrate((b*x+a)^m*log(c*x^n)/x,x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{m} \log\left(c x^{n}\right)}{x}\,{d x}"," ",0,"integrate((b*x + a)^m*log(c*x^n)/x, x)","F",0
171,1,57,0,0.467981," ","integrate(x^5*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{64} \, b e n x^{8} + \frac{1}{8} \, b e x^{8} \log\left(c x^{n}\right) + \frac{1}{8} \, a e x^{8} - \frac{1}{36} \, b d n x^{6} + \frac{1}{6} \, b d x^{6} \log\left(c x^{n}\right) + \frac{1}{6} \, a d x^{6}"," ",0,"-1/64*b*e*n*x^8 + 1/8*b*e*x^8*log(c*x^n) + 1/8*a*e*x^8 - 1/36*b*d*n*x^6 + 1/6*b*d*x^6*log(c*x^n) + 1/6*a*d*x^6","A",0
172,1,57,0,0.459573," ","integrate(x^3*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{36} \, b e n x^{6} + \frac{1}{6} \, b e x^{6} \log\left(c x^{n}\right) + \frac{1}{6} \, a e x^{6} - \frac{1}{16} \, b d n x^{4} + \frac{1}{4} \, b d x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a d x^{4}"," ",0,"-1/36*b*e*n*x^6 + 1/6*b*e*x^6*log(c*x^n) + 1/6*a*e*x^6 - 1/16*b*d*n*x^4 + 1/4*b*d*x^4*log(c*x^n) + 1/4*a*d*x^4","A",0
173,1,57,0,0.468620," ","integrate(x*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{16} \, b e n x^{4} + \frac{1}{4} \, b e x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a e x^{4} - \frac{1}{4} \, b d n x^{2} + \frac{1}{2} \, b d x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a d x^{2}"," ",0,"-1/16*b*e*n*x^4 + 1/4*b*e*x^4*log(c*x^n) + 1/4*a*e*x^4 - 1/4*b*d*n*x^2 + 1/2*b*d*x^2*log(c*x^n) + 1/2*a*d*x^2","A",0
174,1,49,0,0.608357," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","-\frac{1}{4} \, b e n x^{2} + \frac{1}{2} \, b e x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a e x^{2} + \frac{b d \log\left(c x^{n}\right)^{2}}{2 \, n} + a d \log\left(x\right)"," ",0,"-1/4*b*e*n*x^2 + 1/2*b*e*x^2*log(c*x^n) + 1/2*a*e*x^2 + 1/2*b*d*log(c*x^n)^2/n + a*d*log(x)","A",0
175,1,49,0,0.553943," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^3,x, algorithm=""maxima"")","\frac{b e \log\left(c x^{n}\right)^{2}}{2 \, n} + a e \log\left(x\right) - \frac{b d n}{4 \, x^{2}} - \frac{b d \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{a d}{2 \, x^{2}}"," ",0,"1/2*b*e*log(c*x^n)^2/n + a*e*log(x) - 1/4*b*d*n/x^2 - 1/2*b*d*log(c*x^n)/x^2 - 1/2*a*d/x^2","A",0
176,1,57,0,0.467864," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^5,x, algorithm=""maxima"")","-\frac{b e n}{4 \, x^{2}} - \frac{b e \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{a e}{2 \, x^{2}} - \frac{b d n}{16 \, x^{4}} - \frac{b d \log\left(c x^{n}\right)}{4 \, x^{4}} - \frac{a d}{4 \, x^{4}}"," ",0,"-1/4*b*e*n/x^2 - 1/2*b*e*log(c*x^n)/x^2 - 1/2*a*e/x^2 - 1/16*b*d*n/x^4 - 1/4*b*d*log(c*x^n)/x^4 - 1/4*a*d/x^4","A",0
177,1,57,0,0.466291," ","integrate(x^4*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{49} \, b e n x^{7} + \frac{1}{7} \, b e x^{7} \log\left(c x^{n}\right) + \frac{1}{7} \, a e x^{7} - \frac{1}{25} \, b d n x^{5} + \frac{1}{5} \, b d x^{5} \log\left(c x^{n}\right) + \frac{1}{5} \, a d x^{5}"," ",0,"-1/49*b*e*n*x^7 + 1/7*b*e*x^7*log(c*x^n) + 1/7*a*e*x^7 - 1/25*b*d*n*x^5 + 1/5*b*d*x^5*log(c*x^n) + 1/5*a*d*x^5","A",0
178,1,57,0,0.461664," ","integrate(x^2*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{25} \, b e n x^{5} + \frac{1}{5} \, b e x^{5} \log\left(c x^{n}\right) + \frac{1}{5} \, a e x^{5} - \frac{1}{9} \, b d n x^{3} + \frac{1}{3} \, b d x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a d x^{3}"," ",0,"-1/25*b*e*n*x^5 + 1/5*b*e*x^5*log(c*x^n) + 1/5*a*e*x^5 - 1/9*b*d*n*x^3 + 1/3*b*d*x^3*log(c*x^n) + 1/3*a*d*x^3","A",0
179,1,49,0,0.478145," ","integrate((e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{9} \, b e n x^{3} + \frac{1}{3} \, b e x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a e x^{3} - b d n x + b d x \log\left(c x^{n}\right) + a d x"," ",0,"-1/9*b*e*n*x^3 + 1/3*b*e*x^3*log(c*x^n) + 1/3*a*e*x^3 - b*d*n*x + b*d*x*log(c*x^n) + a*d*x","A",0
180,1,49,0,0.472973," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^2,x, algorithm=""maxima"")","-b e n x + b e x \log\left(c x^{n}\right) + a e x - \frac{b d n}{x} - \frac{b d \log\left(c x^{n}\right)}{x} - \frac{a d}{x}"," ",0,"-b*e*n*x + b*e*x*log(c*x^n) + a*e*x - b*d*n/x - b*d*log(c*x^n)/x - a*d/x","A",0
181,1,57,0,0.466004," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^4,x, algorithm=""maxima"")","-\frac{b e n}{x} - \frac{b e \log\left(c x^{n}\right)}{x} - \frac{a e}{x} - \frac{b d n}{9 \, x^{3}} - \frac{b d \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{a d}{3 \, x^{3}}"," ",0,"-b*e*n/x - b*e*log(c*x^n)/x - a*e/x - 1/9*b*d*n/x^3 - 1/3*b*d*log(c*x^n)/x^3 - 1/3*a*d/x^3","A",0
182,1,57,0,0.475179," ","integrate((e*x^2+d)*(a+b*log(c*x^n))/x^6,x, algorithm=""maxima"")","-\frac{b e n}{9 \, x^{3}} - \frac{b e \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{a e}{3 \, x^{3}} - \frac{b d n}{25 \, x^{5}} - \frac{b d \log\left(c x^{n}\right)}{5 \, x^{5}} - \frac{a d}{5 \, x^{5}}"," ",0,"-1/9*b*e*n/x^3 - 1/3*b*e*log(c*x^n)/x^3 - 1/3*a*e/x^3 - 1/25*b*d*n/x^5 - 1/5*b*d*log(c*x^n)/x^5 - 1/5*a*d/x^5","A",0
183,1,100,0,0.478718," ","integrate(x^5*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{100} \, b e^{2} n x^{10} + \frac{1}{10} \, b e^{2} x^{10} \log\left(c x^{n}\right) + \frac{1}{10} \, a e^{2} x^{10} - \frac{1}{32} \, b d e n x^{8} + \frac{1}{4} \, b d e x^{8} \log\left(c x^{n}\right) + \frac{1}{4} \, a d e x^{8} - \frac{1}{36} \, b d^{2} n x^{6} + \frac{1}{6} \, b d^{2} x^{6} \log\left(c x^{n}\right) + \frac{1}{6} \, a d^{2} x^{6}"," ",0,"-1/100*b*e^2*n*x^10 + 1/10*b*e^2*x^10*log(c*x^n) + 1/10*a*e^2*x^10 - 1/32*b*d*e*n*x^8 + 1/4*b*d*e*x^8*log(c*x^n) + 1/4*a*d*e*x^8 - 1/36*b*d^2*n*x^6 + 1/6*b*d^2*x^6*log(c*x^n) + 1/6*a*d^2*x^6","A",0
184,1,100,0,0.527530," ","integrate(x^3*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{64} \, b e^{2} n x^{8} + \frac{1}{8} \, b e^{2} x^{8} \log\left(c x^{n}\right) + \frac{1}{8} \, a e^{2} x^{8} - \frac{1}{18} \, b d e n x^{6} + \frac{1}{3} \, b d e x^{6} \log\left(c x^{n}\right) + \frac{1}{3} \, a d e x^{6} - \frac{1}{16} \, b d^{2} n x^{4} + \frac{1}{4} \, b d^{2} x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a d^{2} x^{4}"," ",0,"-1/64*b*e^2*n*x^8 + 1/8*b*e^2*x^8*log(c*x^n) + 1/8*a*e^2*x^8 - 1/18*b*d*e*n*x^6 + 1/3*b*d*e*x^6*log(c*x^n) + 1/3*a*d*e*x^6 - 1/16*b*d^2*n*x^4 + 1/4*b*d^2*x^4*log(c*x^n) + 1/4*a*d^2*x^4","A",0
185,1,100,0,0.460268," ","integrate(x*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{36} \, b e^{2} n x^{6} + \frac{1}{6} \, b e^{2} x^{6} \log\left(c x^{n}\right) + \frac{1}{6} \, a e^{2} x^{6} - \frac{1}{8} \, b d e n x^{4} + \frac{1}{2} \, b d e x^{4} \log\left(c x^{n}\right) + \frac{1}{2} \, a d e x^{4} - \frac{1}{4} \, b d^{2} n x^{2} + \frac{1}{2} \, b d^{2} x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a d^{2} x^{2}"," ",0,"-1/36*b*e^2*n*x^6 + 1/6*b*e^2*x^6*log(c*x^n) + 1/6*a*e^2*x^6 - 1/8*b*d*e*n*x^4 + 1/2*b*d*e*x^4*log(c*x^n) + 1/2*a*d*e*x^4 - 1/4*b*d^2*n*x^2 + 1/2*b*d^2*x^2*log(c*x^n) + 1/2*a*d^2*x^2","A",0
186,1,88,0,0.469669," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","-\frac{1}{16} \, b e^{2} n x^{4} + \frac{1}{4} \, b e^{2} x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a e^{2} x^{4} - \frac{1}{2} \, b d e n x^{2} + b d e x^{2} \log\left(c x^{n}\right) + a d e x^{2} + \frac{b d^{2} \log\left(c x^{n}\right)^{2}}{2 \, n} + a d^{2} \log\left(x\right)"," ",0,"-1/16*b*e^2*n*x^4 + 1/4*b*e^2*x^4*log(c*x^n) + 1/4*a*e^2*x^4 - 1/2*b*d*e*n*x^2 + b*d*e*x^2*log(c*x^n) + a*d*e*x^2 + 1/2*b*d^2*log(c*x^n)^2/n + a*d^2*log(x)","A",0
187,1,91,0,0.485443," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^3,x, algorithm=""maxima"")","-\frac{1}{4} \, b e^{2} n x^{2} + \frac{1}{2} \, b e^{2} x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a e^{2} x^{2} + \frac{b d e \log\left(c x^{n}\right)^{2}}{n} + 2 \, a d e \log\left(x\right) - \frac{b d^{2} n}{4 \, x^{2}} - \frac{b d^{2} \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{a d^{2}}{2 \, x^{2}}"," ",0,"-1/4*b*e^2*n*x^2 + 1/2*b*e^2*x^2*log(c*x^n) + 1/2*a*e^2*x^2 + b*d*e*log(c*x^n)^2/n + 2*a*d*e*log(x) - 1/4*b*d^2*n/x^2 - 1/2*b*d^2*log(c*x^n)/x^2 - 1/2*a*d^2/x^2","A",0
188,1,90,0,0.517489," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^5,x, algorithm=""maxima"")","\frac{b e^{2} \log\left(c x^{n}\right)^{2}}{2 \, n} + a e^{2} \log\left(x\right) - \frac{b d e n}{2 \, x^{2}} - \frac{b d e \log\left(c x^{n}\right)}{x^{2}} - \frac{a d e}{x^{2}} - \frac{b d^{2} n}{16 \, x^{4}} - \frac{b d^{2} \log\left(c x^{n}\right)}{4 \, x^{4}} - \frac{a d^{2}}{4 \, x^{4}}"," ",0,"1/2*b*e^2*log(c*x^n)^2/n + a*e^2*log(x) - 1/2*b*d*e*n/x^2 - b*d*e*log(c*x^n)/x^2 - a*d*e/x^2 - 1/16*b*d^2*n/x^4 - 1/4*b*d^2*log(c*x^n)/x^4 - 1/4*a*d^2/x^4","A",0
189,1,100,0,0.479674," ","integrate(x^4*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{81} \, b e^{2} n x^{9} + \frac{1}{9} \, b e^{2} x^{9} \log\left(c x^{n}\right) + \frac{1}{9} \, a e^{2} x^{9} - \frac{2}{49} \, b d e n x^{7} + \frac{2}{7} \, b d e x^{7} \log\left(c x^{n}\right) + \frac{2}{7} \, a d e x^{7} - \frac{1}{25} \, b d^{2} n x^{5} + \frac{1}{5} \, b d^{2} x^{5} \log\left(c x^{n}\right) + \frac{1}{5} \, a d^{2} x^{5}"," ",0,"-1/81*b*e^2*n*x^9 + 1/9*b*e^2*x^9*log(c*x^n) + 1/9*a*e^2*x^9 - 2/49*b*d*e*n*x^7 + 2/7*b*d*e*x^7*log(c*x^n) + 2/7*a*d*e*x^7 - 1/25*b*d^2*n*x^5 + 1/5*b*d^2*x^5*log(c*x^n) + 1/5*a*d^2*x^5","A",0
190,1,100,0,0.508507," ","integrate(x^2*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{49} \, b e^{2} n x^{7} + \frac{1}{7} \, b e^{2} x^{7} \log\left(c x^{n}\right) + \frac{1}{7} \, a e^{2} x^{7} - \frac{2}{25} \, b d e n x^{5} + \frac{2}{5} \, b d e x^{5} \log\left(c x^{n}\right) + \frac{2}{5} \, a d e x^{5} - \frac{1}{9} \, b d^{2} n x^{3} + \frac{1}{3} \, b d^{2} x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a d^{2} x^{3}"," ",0,"-1/49*b*e^2*n*x^7 + 1/7*b*e^2*x^7*log(c*x^n) + 1/7*a*e^2*x^7 - 2/25*b*d*e*n*x^5 + 2/5*b*d*e*x^5*log(c*x^n) + 2/5*a*d*e*x^5 - 1/9*b*d^2*n*x^3 + 1/3*b*d^2*x^3*log(c*x^n) + 1/3*a*d^2*x^3","A",0
191,1,92,0,0.469456," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{25} \, b e^{2} n x^{5} + \frac{1}{5} \, b e^{2} x^{5} \log\left(c x^{n}\right) + \frac{1}{5} \, a e^{2} x^{5} - \frac{2}{9} \, b d e n x^{3} + \frac{2}{3} \, b d e x^{3} \log\left(c x^{n}\right) + \frac{2}{3} \, a d e x^{3} - b d^{2} n x + b d^{2} x \log\left(c x^{n}\right) + a d^{2} x"," ",0,"-1/25*b*e^2*n*x^5 + 1/5*b*e^2*x^5*log(c*x^n) + 1/5*a*e^2*x^5 - 2/9*b*d*e*n*x^3 + 2/3*b*d*e*x^3*log(c*x^n) + 2/3*a*d*e*x^3 - b*d^2*n*x + b*d^2*x*log(c*x^n) + a*d^2*x","A",0
192,1,94,0,0.493007," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^2,x, algorithm=""maxima"")","-\frac{1}{9} \, b e^{2} n x^{3} + \frac{1}{3} \, b e^{2} x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a e^{2} x^{3} - 2 \, b d e n x + 2 \, b d e x \log\left(c x^{n}\right) + 2 \, a d e x - \frac{b d^{2} n}{x} - \frac{b d^{2} \log\left(c x^{n}\right)}{x} - \frac{a d^{2}}{x}"," ",0,"-1/9*b*e^2*n*x^3 + 1/3*b*e^2*x^3*log(c*x^n) + 1/3*a*e^2*x^3 - 2*b*d*e*n*x + 2*b*d*e*x*log(c*x^n) + 2*a*d*e*x - b*d^2*n/x - b*d^2*log(c*x^n)/x - a*d^2/x","A",0
193,1,92,0,0.465901," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^4,x, algorithm=""maxima"")","-b e^{2} n x + b e^{2} x \log\left(c x^{n}\right) + a e^{2} x - \frac{2 \, b d e n}{x} - \frac{2 \, b d e \log\left(c x^{n}\right)}{x} - \frac{2 \, a d e}{x} - \frac{b d^{2} n}{9 \, x^{3}} - \frac{b d^{2} \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{a d^{2}}{3 \, x^{3}}"," ",0,"-b*e^2*n*x + b*e^2*x*log(c*x^n) + a*e^2*x - 2*b*d*e*n/x - 2*b*d*e*log(c*x^n)/x - 2*a*d*e/x - 1/9*b*d^2*n/x^3 - 1/3*b*d^2*log(c*x^n)/x^3 - 1/3*a*d^2/x^3","A",0
194,1,100,0,0.468168," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^6,x, algorithm=""maxima"")","-\frac{b e^{2} n}{x} - \frac{b e^{2} \log\left(c x^{n}\right)}{x} - \frac{a e^{2}}{x} - \frac{2 \, b d e n}{9 \, x^{3}} - \frac{2 \, b d e \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{2 \, a d e}{3 \, x^{3}} - \frac{b d^{2} n}{25 \, x^{5}} - \frac{b d^{2} \log\left(c x^{n}\right)}{5 \, x^{5}} - \frac{a d^{2}}{5 \, x^{5}}"," ",0,"-b*e^2*n/x - b*e^2*log(c*x^n)/x - a*e^2/x - 2/9*b*d*e*n/x^3 - 2/3*b*d*e*log(c*x^n)/x^3 - 2/3*a*d*e/x^3 - 1/25*b*d^2*n/x^5 - 1/5*b*d^2*log(c*x^n)/x^5 - 1/5*a*d^2/x^5","A",0
195,1,100,0,0.462066," ","integrate((e*x^2+d)^2*(a+b*log(c*x^n))/x^8,x, algorithm=""maxima"")","-\frac{b e^{2} n}{9 \, x^{3}} - \frac{b e^{2} \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{a e^{2}}{3 \, x^{3}} - \frac{2 \, b d e n}{25 \, x^{5}} - \frac{2 \, b d e \log\left(c x^{n}\right)}{5 \, x^{5}} - \frac{2 \, a d e}{5 \, x^{5}} - \frac{b d^{2} n}{49 \, x^{7}} - \frac{b d^{2} \log\left(c x^{n}\right)}{7 \, x^{7}} - \frac{a d^{2}}{7 \, x^{7}}"," ",0,"-1/9*b*e^2*n/x^3 - 1/3*b*e^2*log(c*x^n)/x^3 - 1/3*a*e^2/x^3 - 2/25*b*d*e*n/x^5 - 2/5*b*d*e*log(c*x^n)/x^5 - 2/5*a*d*e/x^5 - 1/49*b*d^2*n/x^7 - 1/7*b*d^2*log(c*x^n)/x^7 - 1/7*a*d^2/x^7","A",0
196,1,143,0,0.478337," ","integrate(x^5*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{144} \, b e^{3} n x^{12} + \frac{1}{12} \, b e^{3} x^{12} \log\left(c x^{n}\right) + \frac{1}{12} \, a e^{3} x^{12} - \frac{3}{100} \, b d e^{2} n x^{10} + \frac{3}{10} \, b d e^{2} x^{10} \log\left(c x^{n}\right) + \frac{3}{10} \, a d e^{2} x^{10} - \frac{3}{64} \, b d^{2} e n x^{8} + \frac{3}{8} \, b d^{2} e x^{8} \log\left(c x^{n}\right) + \frac{3}{8} \, a d^{2} e x^{8} - \frac{1}{36} \, b d^{3} n x^{6} + \frac{1}{6} \, b d^{3} x^{6} \log\left(c x^{n}\right) + \frac{1}{6} \, a d^{3} x^{6}"," ",0,"-1/144*b*e^3*n*x^12 + 1/12*b*e^3*x^12*log(c*x^n) + 1/12*a*e^3*x^12 - 3/100*b*d*e^2*n*x^10 + 3/10*b*d*e^2*x^10*log(c*x^n) + 3/10*a*d*e^2*x^10 - 3/64*b*d^2*e*n*x^8 + 3/8*b*d^2*e*x^8*log(c*x^n) + 3/8*a*d^2*e*x^8 - 1/36*b*d^3*n*x^6 + 1/6*b*d^3*x^6*log(c*x^n) + 1/6*a*d^3*x^6","A",0
197,1,143,0,0.539272," ","integrate(x^3*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{100} \, b e^{3} n x^{10} + \frac{1}{10} \, b e^{3} x^{10} \log\left(c x^{n}\right) + \frac{1}{10} \, a e^{3} x^{10} - \frac{3}{64} \, b d e^{2} n x^{8} + \frac{3}{8} \, b d e^{2} x^{8} \log\left(c x^{n}\right) + \frac{3}{8} \, a d e^{2} x^{8} - \frac{1}{12} \, b d^{2} e n x^{6} + \frac{1}{2} \, b d^{2} e x^{6} \log\left(c x^{n}\right) + \frac{1}{2} \, a d^{2} e x^{6} - \frac{1}{16} \, b d^{3} n x^{4} + \frac{1}{4} \, b d^{3} x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a d^{3} x^{4}"," ",0,"-1/100*b*e^3*n*x^10 + 1/10*b*e^3*x^10*log(c*x^n) + 1/10*a*e^3*x^10 - 3/64*b*d*e^2*n*x^8 + 3/8*b*d*e^2*x^8*log(c*x^n) + 3/8*a*d*e^2*x^8 - 1/12*b*d^2*e*n*x^6 + 1/2*b*d^2*e*x^6*log(c*x^n) + 1/2*a*d^2*e*x^6 - 1/16*b*d^3*n*x^4 + 1/4*b*d^3*x^4*log(c*x^n) + 1/4*a*d^3*x^4","A",0
198,1,143,0,0.488544," ","integrate(x*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{64} \, b e^{3} n x^{8} + \frac{1}{8} \, b e^{3} x^{8} \log\left(c x^{n}\right) + \frac{1}{8} \, a e^{3} x^{8} - \frac{1}{12} \, b d e^{2} n x^{6} + \frac{1}{2} \, b d e^{2} x^{6} \log\left(c x^{n}\right) + \frac{1}{2} \, a d e^{2} x^{6} - \frac{3}{16} \, b d^{2} e n x^{4} + \frac{3}{4} \, b d^{2} e x^{4} \log\left(c x^{n}\right) + \frac{3}{4} \, a d^{2} e x^{4} - \frac{1}{4} \, b d^{3} n x^{2} + \frac{1}{2} \, b d^{3} x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a d^{3} x^{2}"," ",0,"-1/64*b*e^3*n*x^8 + 1/8*b*e^3*x^8*log(c*x^n) + 1/8*a*e^3*x^8 - 1/12*b*d*e^2*n*x^6 + 1/2*b*d*e^2*x^6*log(c*x^n) + 1/2*a*d*e^2*x^6 - 3/16*b*d^2*e*n*x^4 + 3/4*b*d^2*e*x^4*log(c*x^n) + 3/4*a*d^2*e*x^4 - 1/4*b*d^3*n*x^2 + 1/2*b*d^3*x^2*log(c*x^n) + 1/2*a*d^3*x^2","A",0
199,1,133,0,0.485606," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","-\frac{1}{36} \, b e^{3} n x^{6} + \frac{1}{6} \, b e^{3} x^{6} \log\left(c x^{n}\right) + \frac{1}{6} \, a e^{3} x^{6} - \frac{3}{16} \, b d e^{2} n x^{4} + \frac{3}{4} \, b d e^{2} x^{4} \log\left(c x^{n}\right) + \frac{3}{4} \, a d e^{2} x^{4} - \frac{3}{4} \, b d^{2} e n x^{2} + \frac{3}{2} \, b d^{2} e x^{2} \log\left(c x^{n}\right) + \frac{3}{2} \, a d^{2} e x^{2} + \frac{b d^{3} \log\left(c x^{n}\right)^{2}}{2 \, n} + a d^{3} \log\left(x\right)"," ",0,"-1/36*b*e^3*n*x^6 + 1/6*b*e^3*x^6*log(c*x^n) + 1/6*a*e^3*x^6 - 3/16*b*d*e^2*n*x^4 + 3/4*b*d*e^2*x^4*log(c*x^n) + 3/4*a*d*e^2*x^4 - 3/4*b*d^2*e*n*x^2 + 3/2*b*d^2*e*x^2*log(c*x^n) + 3/2*a*d^2*e*x^2 + 1/2*b*d^3*log(c*x^n)^2/n + a*d^3*log(x)","A",0
200,1,133,0,0.490402," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^3,x, algorithm=""maxima"")","-\frac{1}{16} \, b e^{3} n x^{4} + \frac{1}{4} \, b e^{3} x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a e^{3} x^{4} - \frac{3}{4} \, b d e^{2} n x^{2} + \frac{3}{2} \, b d e^{2} x^{2} \log\left(c x^{n}\right) + \frac{3}{2} \, a d e^{2} x^{2} + \frac{3 \, b d^{2} e \log\left(c x^{n}\right)^{2}}{2 \, n} + 3 \, a d^{2} e \log\left(x\right) - \frac{b d^{3} n}{4 \, x^{2}} - \frac{b d^{3} \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{a d^{3}}{2 \, x^{2}}"," ",0,"-1/16*b*e^3*n*x^4 + 1/4*b*e^3*x^4*log(c*x^n) + 1/4*a*e^3*x^4 - 3/4*b*d*e^2*n*x^2 + 3/2*b*d*e^2*x^2*log(c*x^n) + 3/2*a*d*e^2*x^2 + 3/2*b*d^2*e*log(c*x^n)^2/n + 3*a*d^2*e*log(x) - 1/4*b*d^3*n/x^2 - 1/2*b*d^3*log(c*x^n)/x^2 - 1/2*a*d^3/x^2","A",0
201,1,133,0,0.500042," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^5,x, algorithm=""maxima"")","-\frac{1}{4} \, b e^{3} n x^{2} + \frac{1}{2} \, b e^{3} x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a e^{3} x^{2} + \frac{3 \, b d e^{2} \log\left(c x^{n}\right)^{2}}{2 \, n} + 3 \, a d e^{2} \log\left(x\right) - \frac{3 \, b d^{2} e n}{4 \, x^{2}} - \frac{3 \, b d^{2} e \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{3 \, a d^{2} e}{2 \, x^{2}} - \frac{b d^{3} n}{16 \, x^{4}} - \frac{b d^{3} \log\left(c x^{n}\right)}{4 \, x^{4}} - \frac{a d^{3}}{4 \, x^{4}}"," ",0,"-1/4*b*e^3*n*x^2 + 1/2*b*e^3*x^2*log(c*x^n) + 1/2*a*e^3*x^2 + 3/2*b*d*e^2*log(c*x^n)^2/n + 3*a*d*e^2*log(x) - 3/4*b*d^2*e*n/x^2 - 3/2*b*d^2*e*log(c*x^n)/x^2 - 3/2*a*d^2*e/x^2 - 1/16*b*d^3*n/x^4 - 1/4*b*d^3*log(c*x^n)/x^4 - 1/4*a*d^3/x^4","A",0
202,1,143,0,0.490339," ","integrate(x^4*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{121} \, b e^{3} n x^{11} + \frac{1}{11} \, b e^{3} x^{11} \log\left(c x^{n}\right) + \frac{1}{11} \, a e^{3} x^{11} - \frac{1}{27} \, b d e^{2} n x^{9} + \frac{1}{3} \, b d e^{2} x^{9} \log\left(c x^{n}\right) + \frac{1}{3} \, a d e^{2} x^{9} - \frac{3}{49} \, b d^{2} e n x^{7} + \frac{3}{7} \, b d^{2} e x^{7} \log\left(c x^{n}\right) + \frac{3}{7} \, a d^{2} e x^{7} - \frac{1}{25} \, b d^{3} n x^{5} + \frac{1}{5} \, b d^{3} x^{5} \log\left(c x^{n}\right) + \frac{1}{5} \, a d^{3} x^{5}"," ",0,"-1/121*b*e^3*n*x^11 + 1/11*b*e^3*x^11*log(c*x^n) + 1/11*a*e^3*x^11 - 1/27*b*d*e^2*n*x^9 + 1/3*b*d*e^2*x^9*log(c*x^n) + 1/3*a*d*e^2*x^9 - 3/49*b*d^2*e*n*x^7 + 3/7*b*d^2*e*x^7*log(c*x^n) + 3/7*a*d^2*e*x^7 - 1/25*b*d^3*n*x^5 + 1/5*b*d^3*x^5*log(c*x^n) + 1/5*a*d^3*x^5","A",0
203,1,143,0,0.538421," ","integrate(x^2*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{81} \, b e^{3} n x^{9} + \frac{1}{9} \, b e^{3} x^{9} \log\left(c x^{n}\right) + \frac{1}{9} \, a e^{3} x^{9} - \frac{3}{49} \, b d e^{2} n x^{7} + \frac{3}{7} \, b d e^{2} x^{7} \log\left(c x^{n}\right) + \frac{3}{7} \, a d e^{2} x^{7} - \frac{3}{25} \, b d^{2} e n x^{5} + \frac{3}{5} \, b d^{2} e x^{5} \log\left(c x^{n}\right) + \frac{3}{5} \, a d^{2} e x^{5} - \frac{1}{9} \, b d^{3} n x^{3} + \frac{1}{3} \, b d^{3} x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a d^{3} x^{3}"," ",0,"-1/81*b*e^3*n*x^9 + 1/9*b*e^3*x^9*log(c*x^n) + 1/9*a*e^3*x^9 - 3/49*b*d*e^2*n*x^7 + 3/7*b*d*e^2*x^7*log(c*x^n) + 3/7*a*d*e^2*x^7 - 3/25*b*d^2*e*n*x^5 + 3/5*b*d^2*e*x^5*log(c*x^n) + 3/5*a*d^2*e*x^5 - 1/9*b*d^3*n*x^3 + 1/3*b*d^3*x^3*log(c*x^n) + 1/3*a*d^3*x^3","A",0
204,1,133,0,0.459487," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{49} \, b e^{3} n x^{7} + \frac{1}{7} \, b e^{3} x^{7} \log\left(c x^{n}\right) + \frac{1}{7} \, a e^{3} x^{7} - \frac{3}{25} \, b d e^{2} n x^{5} + \frac{3}{5} \, b d e^{2} x^{5} \log\left(c x^{n}\right) + \frac{3}{5} \, a d e^{2} x^{5} - \frac{1}{3} \, b d^{2} e n x^{3} + b d^{2} e x^{3} \log\left(c x^{n}\right) + a d^{2} e x^{3} - b d^{3} n x + b d^{3} x \log\left(c x^{n}\right) + a d^{3} x"," ",0,"-1/49*b*e^3*n*x^7 + 1/7*b*e^3*x^7*log(c*x^n) + 1/7*a*e^3*x^7 - 3/25*b*d*e^2*n*x^5 + 3/5*b*d*e^2*x^5*log(c*x^n) + 3/5*a*d*e^2*x^5 - 1/3*b*d^2*e*n*x^3 + b*d^2*e*x^3*log(c*x^n) + a*d^2*e*x^3 - b*d^3*n*x + b*d^3*x*log(c*x^n) + a*d^3*x","A",0
205,1,135,0,0.516555," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^2,x, algorithm=""maxima"")","-\frac{1}{25} \, b e^{3} n x^{5} + \frac{1}{5} \, b e^{3} x^{5} \log\left(c x^{n}\right) + \frac{1}{5} \, a e^{3} x^{5} - \frac{1}{3} \, b d e^{2} n x^{3} + b d e^{2} x^{3} \log\left(c x^{n}\right) + a d e^{2} x^{3} - 3 \, b d^{2} e n x + 3 \, b d^{2} e x \log\left(c x^{n}\right) + 3 \, a d^{2} e x - \frac{b d^{3} n}{x} - \frac{b d^{3} \log\left(c x^{n}\right)}{x} - \frac{a d^{3}}{x}"," ",0,"-1/25*b*e^3*n*x^5 + 1/5*b*e^3*x^5*log(c*x^n) + 1/5*a*e^3*x^5 - 1/3*b*d*e^2*n*x^3 + b*d*e^2*x^3*log(c*x^n) + a*d*e^2*x^3 - 3*b*d^2*e*n*x + 3*b*d^2*e*x*log(c*x^n) + 3*a*d^2*e*x - b*d^3*n/x - b*d^3*log(c*x^n)/x - a*d^3/x","A",0
206,1,137,0,0.500064," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^4,x, algorithm=""maxima"")","-\frac{1}{9} \, b e^{3} n x^{3} + \frac{1}{3} \, b e^{3} x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a e^{3} x^{3} - 3 \, b d e^{2} n x + 3 \, b d e^{2} x \log\left(c x^{n}\right) + 3 \, a d e^{2} x - \frac{3 \, b d^{2} e n}{x} - \frac{3 \, b d^{2} e \log\left(c x^{n}\right)}{x} - \frac{3 \, a d^{2} e}{x} - \frac{b d^{3} n}{9 \, x^{3}} - \frac{b d^{3} \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{a d^{3}}{3 \, x^{3}}"," ",0,"-1/9*b*e^3*n*x^3 + 1/3*b*e^3*x^3*log(c*x^n) + 1/3*a*e^3*x^3 - 3*b*d*e^2*n*x + 3*b*d*e^2*x*log(c*x^n) + 3*a*d*e^2*x - 3*b*d^2*e*n/x - 3*b*d^2*e*log(c*x^n)/x - 3*a*d^2*e/x - 1/9*b*d^3*n/x^3 - 1/3*b*d^3*log(c*x^n)/x^3 - 1/3*a*d^3/x^3","A",0
207,1,135,0,0.645451," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^6,x, algorithm=""maxima"")","-b e^{3} n x + b e^{3} x \log\left(c x^{n}\right) + a e^{3} x - \frac{3 \, b d e^{2} n}{x} - \frac{3 \, b d e^{2} \log\left(c x^{n}\right)}{x} - \frac{3 \, a d e^{2}}{x} - \frac{b d^{2} e n}{3 \, x^{3}} - \frac{b d^{2} e \log\left(c x^{n}\right)}{x^{3}} - \frac{a d^{2} e}{x^{3}} - \frac{b d^{3} n}{25 \, x^{5}} - \frac{b d^{3} \log\left(c x^{n}\right)}{5 \, x^{5}} - \frac{a d^{3}}{5 \, x^{5}}"," ",0,"-b*e^3*n*x + b*e^3*x*log(c*x^n) + a*e^3*x - 3*b*d*e^2*n/x - 3*b*d*e^2*log(c*x^n)/x - 3*a*d*e^2/x - 1/3*b*d^2*e*n/x^3 - b*d^2*e*log(c*x^n)/x^3 - a*d^2*e/x^3 - 1/25*b*d^3*n/x^5 - 1/5*b*d^3*log(c*x^n)/x^5 - 1/5*a*d^3/x^5","A",0
208,1,143,0,0.681317," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^8,x, algorithm=""maxima"")","-\frac{b e^{3} n}{x} - \frac{b e^{3} \log\left(c x^{n}\right)}{x} - \frac{a e^{3}}{x} - \frac{b d e^{2} n}{3 \, x^{3}} - \frac{b d e^{2} \log\left(c x^{n}\right)}{x^{3}} - \frac{a d e^{2}}{x^{3}} - \frac{3 \, b d^{2} e n}{25 \, x^{5}} - \frac{3 \, b d^{2} e \log\left(c x^{n}\right)}{5 \, x^{5}} - \frac{3 \, a d^{2} e}{5 \, x^{5}} - \frac{b d^{3} n}{49 \, x^{7}} - \frac{b d^{3} \log\left(c x^{n}\right)}{7 \, x^{7}} - \frac{a d^{3}}{7 \, x^{7}}"," ",0,"-b*e^3*n/x - b*e^3*log(c*x^n)/x - a*e^3/x - 1/3*b*d*e^2*n/x^3 - b*d*e^2*log(c*x^n)/x^3 - a*d*e^2/x^3 - 3/25*b*d^2*e*n/x^5 - 3/5*b*d^2*e*log(c*x^n)/x^5 - 3/5*a*d^2*e/x^5 - 1/49*b*d^3*n/x^7 - 1/7*b*d^3*log(c*x^n)/x^7 - 1/7*a*d^3/x^7","A",0
209,1,143,0,0.631015," ","integrate((e*x^2+d)^3*(a+b*log(c*x^n))/x^10,x, algorithm=""maxima"")","-\frac{b e^{3} n}{9 \, x^{3}} - \frac{b e^{3} \log\left(c x^{n}\right)}{3 \, x^{3}} - \frac{a e^{3}}{3 \, x^{3}} - \frac{3 \, b d e^{2} n}{25 \, x^{5}} - \frac{3 \, b d e^{2} \log\left(c x^{n}\right)}{5 \, x^{5}} - \frac{3 \, a d e^{2}}{5 \, x^{5}} - \frac{3 \, b d^{2} e n}{49 \, x^{7}} - \frac{3 \, b d^{2} e \log\left(c x^{n}\right)}{7 \, x^{7}} - \frac{3 \, a d^{2} e}{7 \, x^{7}} - \frac{b d^{3} n}{81 \, x^{9}} - \frac{b d^{3} \log\left(c x^{n}\right)}{9 \, x^{9}} - \frac{a d^{3}}{9 \, x^{9}}"," ",0,"-1/9*b*e^3*n/x^3 - 1/3*b*e^3*log(c*x^n)/x^3 - 1/3*a*e^3/x^3 - 3/25*b*d*e^2*n/x^5 - 3/5*b*d*e^2*log(c*x^n)/x^5 - 3/5*a*d*e^2/x^5 - 3/49*b*d^2*e*n/x^7 - 3/7*b*d^2*e*log(c*x^n)/x^7 - 3/7*a*d^2*e/x^7 - 1/81*b*d^3*n/x^9 - 1/9*b*d^3*log(c*x^n)/x^9 - 1/9*a*d^3/x^9","A",0
210,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""maxima"")","\frac{1}{4} \, a {\left(\frac{2 \, d^{2} \log\left(e x^{2} + d\right)}{e^{3}} + \frac{e x^{4} - 2 \, d x^{2}}{e^{2}}\right)} + b \int \frac{x^{5} \log\left(c\right) + x^{5} \log\left(x^{n}\right)}{e x^{2} + d}\,{d x}"," ",0,"1/4*a*(2*d^2*log(e*x^2 + d)/e^3 + (e*x^4 - 2*d*x^2)/e^2) + b*integrate((x^5*log(c) + x^5*log(x^n))/(e*x^2 + d), x)","F",0
211,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{x^{2}}{e} - \frac{d \log\left(e x^{2} + d\right)}{e^{2}}\right)} + b \int \frac{x^{3} \log\left(c\right) + x^{3} \log\left(x^{n}\right)}{e x^{2} + d}\,{d x}"," ",0,"1/2*a*(x^2/e - d*log(e*x^2 + d)/e^2) + b*integrate((x^3*log(c) + x^3*log(x^n))/(e*x^2 + d), x)","F",0
212,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""maxima"")","b \int \frac{x \log\left(c\right) + x \log\left(x^{n}\right)}{e x^{2} + d}\,{d x} + \frac{a \log\left(e x^{2} + d\right)}{2 \, e}"," ",0,"b*integrate((x*log(c) + x*log(x^n))/(e*x^2 + d), x) + 1/2*a*log(e*x^2 + d)/e","F",0
213,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d),x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{\log\left(e x^{2} + d\right)}{d} - \frac{2 \, \log\left(x\right)}{d}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x^{3} + d x}\,{d x}"," ",0,"-1/2*a*(log(e*x^2 + d)/d - 2*log(x)/d) + b*integrate((log(c) + log(x^n))/(e*x^3 + d*x), x)","F",0
214,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{e \log\left(e x^{2} + d\right)}{d^{2}} - \frac{2 \, e \log\left(x\right)}{d^{2}} - \frac{1}{d x^{2}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x^{5} + d x^{3}}\,{d x}"," ",0,"1/2*a*(e*log(e*x^2 + d)/d^2 - 2*e*log(x)/d^2 - 1/(d*x^2)) + b*integrate((log(c) + log(x^n))/(e*x^5 + d*x^3), x)","F",0
215,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^5/(e*x^2+d),x, algorithm=""maxima"")","-\frac{1}{4} \, a {\left(\frac{2 \, e^{2} \log\left(e x^{2} + d\right)}{d^{3}} - \frac{4 \, e^{2} \log\left(x\right)}{d^{3}} - \frac{2 \, e x^{2} - d}{d^{2} x^{4}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x^{7} + d x^{5}}\,{d x}"," ",0,"-1/4*a*(2*e^2*log(e*x^2 + d)/d^3 - 4*e^2*log(x)/d^3 - (2*e*x^2 - d)/(d^2*x^4)) + b*integrate((log(c) + log(x^n))/(e*x^7 + d*x^5), x)","F",0
216,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""maxima"")","\frac{1}{3} \, a {\left(\frac{3 \, d^{2} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} e^{2}} + \frac{e x^{3} - 3 \, d x}{e^{2}}\right)} + b \int \frac{x^{4} \log\left(c\right) + x^{4} \log\left(x^{n}\right)}{e x^{2} + d}\,{d x}"," ",0,"1/3*a*(3*d^2*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e^2) + (e*x^3 - 3*d*x)/e^2) + b*integrate((x^4*log(c) + x^4*log(x^n))/(e*x^2 + d), x)","F",0
217,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""maxima"")","-a {\left(\frac{d \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} e} - \frac{x}{e}\right)} + b \int \frac{x^{2} \log\left(c\right) + x^{2} \log\left(x^{n}\right)}{e x^{2} + d}\,{d x}"," ",0,"-a*(d*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e) - x/e) + b*integrate((x^2*log(c) + x^2*log(x^n))/(e*x^2 + d), x)","F",0
218,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""maxima"")","b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x^{2} + d}\,{d x} + \frac{a \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e}}"," ",0,"b*integrate((log(c) + log(x^n))/(e*x^2 + d), x) + a*arctan(e*x/sqrt(d*e))/sqrt(d*e)","F",0
219,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d),x, algorithm=""maxima"")","-a {\left(\frac{e \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} d} + \frac{1}{d x}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x^{4} + d x^{2}}\,{d x}"," ",0,"-a*(e*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d) + 1/(d*x)) + b*integrate((log(c) + log(x^n))/(e*x^4 + d*x^2), x)","F",0
220,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d),x, algorithm=""maxima"")","\frac{1}{3} \, a {\left(\frac{3 \, e^{2} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} d^{2}} + \frac{3 \, e x^{2} - d}{d^{2} x^{3}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x^{6} + d x^{4}}\,{d x}"," ",0,"1/3*a*(3*e^2*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^2) + (3*e*x^2 - d)/(d^2*x^3)) + b*integrate((log(c) + log(x^n))/(e*x^6 + d*x^4), x)","F",0
221,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{d^{2}}{e^{4} x^{2} + d e^{3}} - \frac{x^{2}}{e^{2}} + \frac{2 \, d \log\left(e x^{2} + d\right)}{e^{3}}\right)} + b \int \frac{x^{5} \log\left(c\right) + x^{5} \log\left(x^{n}\right)}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}\,{d x}"," ",0,"-1/2*a*(d^2/(e^4*x^2 + d*e^3) - x^2/e^2 + 2*d*log(e*x^2 + d)/e^3) + b*integrate((x^5*log(c) + x^5*log(x^n))/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
222,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{d}{e^{3} x^{2} + d e^{2}} + \frac{\log\left(e x^{2} + d\right)}{e^{2}}\right)} + b \int \frac{x^{3} \log\left(c\right) + x^{3} \log\left(x^{n}\right)}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}\,{d x}"," ",0,"1/2*a*(d/(e^3*x^2 + d*e^2) + log(e*x^2 + d)/e^2) + b*integrate((x^3*log(c) + x^3*log(x^n))/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
223,1,71,0,0.478611," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""maxima"")","-\frac{1}{4} \, b n {\left(\frac{\log\left(e x^{2} + d\right)}{d e} - \frac{\log\left(x^{2}\right)}{d e}\right)} - \frac{b \log\left(c x^{n}\right)}{2 \, {\left(e^{2} x^{2} + d e\right)}} - \frac{a}{2 \, {\left(e^{2} x^{2} + d e\right)}}"," ",0,"-1/4*b*n*(log(e*x^2 + d)/(d*e) - log(x^2)/(d*e)) - 1/2*b*log(c*x^n)/(e^2*x^2 + d*e) - 1/2*a/(e^2*x^2 + d*e)","A",0
224,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{1}{d e x^{2} + d^{2}} - \frac{\log\left(e x^{2} + d\right)}{d^{2}} + \frac{2 \, \log\left(x\right)}{d^{2}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{2} x^{5} + 2 \, d e x^{3} + d^{2} x}\,{d x}"," ",0,"1/2*a*(1/(d*e*x^2 + d^2) - log(e*x^2 + d)/d^2 + 2*log(x)/d^2) + b*integrate((log(c) + log(x^n))/(e^2*x^5 + 2*d*e*x^3 + d^2*x), x)","F",0
225,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{2 \, e x^{2} + d}{d^{2} e x^{4} + d^{3} x^{2}} - \frac{2 \, e \log\left(e x^{2} + d\right)}{d^{3}} + \frac{4 \, e \log\left(x\right)}{d^{3}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{2} x^{7} + 2 \, d e x^{5} + d^{2} x^{3}}\,{d x}"," ",0,"-1/2*a*((2*e*x^2 + d)/(d^2*e*x^4 + d^3*x^2) - 2*e*log(e*x^2 + d)/d^3 + 4*e*log(x)/d^3) + b*integrate((log(c) + log(x^n))/(e^2*x^7 + 2*d*e*x^5 + d^2*x^3), x)","F",0
226,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{d x}{e^{3} x^{2} + d e^{2}} - \frac{3 \, d \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} e^{2}} + \frac{2 \, x}{e^{2}}\right)} + b \int \frac{x^{4} \log\left(c\right) + x^{4} \log\left(x^{n}\right)}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}\,{d x}"," ",0,"1/2*a*(d*x/(e^3*x^2 + d*e^2) - 3*d*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e^2) + 2*x/e^2) + b*integrate((x^4*log(c) + x^4*log(x^n))/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
227,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{x}{e^{2} x^{2} + d e} - \frac{\arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} e}\right)} + b \int \frac{x^{2} \log\left(c\right) + x^{2} \log\left(x^{n}\right)}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}\,{d x}"," ",0,"-1/2*a*(x/(e^2*x^2 + d*e) - arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e)) + b*integrate((x^2*log(c) + x^2*log(x^n))/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
228,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{x}{d e x^{2} + d^{2}} + \frac{\arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} d}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}\,{d x}"," ",0,"1/2*a*(x/(d*e*x^2 + d^2) + arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d)) + b*integrate((log(c) + log(x^n))/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
229,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{3 \, e x^{2} + 2 \, d}{d^{2} e x^{3} + d^{3} x} + \frac{3 \, e \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} d^{2}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{2} x^{6} + 2 \, d e x^{4} + d^{2} x^{2}}\,{d x}"," ",0,"-1/2*a*((3*e*x^2 + 2*d)/(d^2*e*x^3 + d^3*x) + 3*e*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^2)) + b*integrate((log(c) + log(x^n))/(e^2*x^6 + 2*d*e*x^4 + d^2*x^2), x)","F",0
230,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{1}{6} \, a {\left(\frac{15 \, e^{2} x^{4} + 10 \, d e x^{2} - 2 \, d^{2}}{d^{3} e x^{5} + d^{4} x^{3}} + \frac{15 \, e^{2} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} d^{3}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{2} x^{8} + 2 \, d e x^{6} + d^{2} x^{4}}\,{d x}"," ",0,"1/6*a*((15*e^2*x^4 + 10*d*e*x^2 - 2*d^2)/(d^3*e*x^5 + d^4*x^3) + 15*e^2*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^3)) + b*integrate((log(c) + log(x^n))/(e^2*x^8 + 2*d*e*x^6 + d^2*x^4), x)","F",0
231,0,0,0,0.000000," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""maxima"")","\frac{1}{4} \, a {\left(\frac{4 \, d e x^{2} + 3 \, d^{2}}{e^{5} x^{4} + 2 \, d e^{4} x^{2} + d^{2} e^{3}} + \frac{2 \, \log\left(e x^{2} + d\right)}{e^{3}}\right)} + b \int \frac{x^{5} \log\left(c\right) + x^{5} \log\left(x^{n}\right)}{e^{3} x^{6} + 3 \, d e^{2} x^{4} + 3 \, d^{2} e x^{2} + d^{3}}\,{d x}"," ",0,"1/4*a*((4*d*e*x^2 + 3*d^2)/(e^5*x^4 + 2*d*e^4*x^2 + d^2*e^3) + 2*log(e*x^2 + d)/e^3) + b*integrate((x^5*log(c) + x^5*log(x^n))/(e^3*x^6 + 3*d*e^2*x^4 + 3*d^2*e*x^2 + d^3), x)","F",0
232,1,128,0,0.508259," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""maxima"")","-\frac{1}{8} \, b n {\left(\frac{1}{e^{3} x^{2} + d e^{2}} + \frac{\log\left(e x^{2} + d\right)}{d e^{2}} - \frac{\log\left(x^{2}\right)}{d e^{2}}\right)} - \frac{{\left(2 \, e x^{2} + d\right)} b \log\left(c x^{n}\right)}{4 \, {\left(e^{4} x^{4} + 2 \, d e^{3} x^{2} + d^{2} e^{2}\right)}} - \frac{{\left(2 \, e x^{2} + d\right)} a}{4 \, {\left(e^{4} x^{4} + 2 \, d e^{3} x^{2} + d^{2} e^{2}\right)}}"," ",0,"-1/8*b*n*(1/(e^3*x^2 + d*e^2) + log(e*x^2 + d)/(d*e^2) - log(x^2)/(d*e^2)) - 1/4*(2*e*x^2 + d)*b*log(c*x^n)/(e^4*x^4 + 2*d*e^3*x^2 + d^2*e^2) - 1/4*(2*e*x^2 + d)*a/(e^4*x^4 + 2*d*e^3*x^2 + d^2*e^2)","B",0
233,1,109,0,0.524888," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""maxima"")","\frac{1}{8} \, b n {\left(\frac{1}{d e^{2} x^{2} + d^{2} e} - \frac{\log\left(e x^{2} + d\right)}{d^{2} e} + \frac{\log\left(x^{2}\right)}{d^{2} e}\right)} - \frac{b \log\left(c x^{n}\right)}{4 \, {\left(e^{3} x^{4} + 2 \, d e^{2} x^{2} + d^{2} e\right)}} - \frac{a}{4 \, {\left(e^{3} x^{4} + 2 \, d e^{2} x^{2} + d^{2} e\right)}}"," ",0,"1/8*b*n*(1/(d*e^2*x^2 + d^2*e) - log(e*x^2 + d)/(d^2*e) + log(x^2)/(d^2*e)) - 1/4*b*log(c*x^n)/(e^3*x^4 + 2*d*e^2*x^2 + d^2*e) - 1/4*a/(e^3*x^4 + 2*d*e^2*x^2 + d^2*e)","A",0
234,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^3,x, algorithm=""maxima"")","\frac{1}{4} \, a {\left(\frac{2 \, e x^{2} + 3 \, d}{d^{2} e^{2} x^{4} + 2 \, d^{3} e x^{2} + d^{4}} - \frac{2 \, \log\left(e x^{2} + d\right)}{d^{3}} + \frac{4 \, \log\left(x\right)}{d^{3}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{3} x^{7} + 3 \, d e^{2} x^{5} + 3 \, d^{2} e x^{3} + d^{3} x}\,{d x}"," ",0,"1/4*a*((2*e*x^2 + 3*d)/(d^2*e^2*x^4 + 2*d^3*e*x^2 + d^4) - 2*log(e*x^2 + d)/d^3 + 4*log(x)/d^3) + b*integrate((log(c) + log(x^n))/(e^3*x^7 + 3*d*e^2*x^5 + 3*d^2*e*x^3 + d^3*x), x)","F",0
235,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^3,x, algorithm=""maxima"")","-\frac{1}{4} \, a {\left(\frac{6 \, e^{2} x^{4} + 9 \, d e x^{2} + 2 \, d^{2}}{d^{3} e^{2} x^{6} + 2 \, d^{4} e x^{4} + d^{5} x^{2}} - \frac{6 \, e \log\left(e x^{2} + d\right)}{d^{4}} + \frac{12 \, e \log\left(x\right)}{d^{4}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{3} x^{9} + 3 \, d e^{2} x^{7} + 3 \, d^{2} e x^{5} + d^{3} x^{3}}\,{d x}"," ",0,"-1/4*a*((6*e^2*x^4 + 9*d*e*x^2 + 2*d^2)/(d^3*e^2*x^6 + 2*d^4*e*x^4 + d^5*x^2) - 6*e*log(e*x^2 + d)/d^4 + 12*e*log(x)/d^4) + b*integrate((log(c) + log(x^n))/(e^3*x^9 + 3*d*e^2*x^7 + 3*d^2*e*x^5 + d^3*x^3), x)","F",0
236,-2,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
237,-2,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
238,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
239,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
240,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
241,1,76,0,0.489879," ","integrate(x*log(c*x^2)/(-c*x^2+1),x, algorithm=""maxima"")","-\frac{\log\left(c x^{2} - 1\right) \log\left(c x^{2}\right)}{2 \, c} + \frac{\log\left(c x^{2} - 1\right) \log\left(x\right)}{c} + \frac{\log\left(c x^{2} - 1\right) \log\left(c x^{2}\right) - 2 \, \log\left(c x^{2} - 1\right) \log\left(x\right) + {\rm Li}_2\left(-c x^{2} + 1\right)}{2 \, c}"," ",0,"-1/2*log(c*x^2 - 1)*log(c*x^2)/c + log(c*x^2 - 1)*log(x)/c + 1/2*(log(c*x^2 - 1)*log(c*x^2) - 2*log(c*x^2 - 1)*log(x) + dilog(-c*x^2 + 1))/c","B",0
242,1,58,0,0.479110," ","integrate(x*log(x^2/c)/(-x^2+c),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(x^{2} - c\right) \log\left(\frac{x^{2}}{c}\right) + \frac{1}{2} \, \log\left(x^{2} - c\right) \log\left(\frac{x^{2} - c}{c} + 1\right) + \frac{1}{2} \, {\rm Li}_2\left(-\frac{x^{2} - c}{c}\right)"," ",0,"-1/2*log(x^2 - c)*log(x^2/c) + 1/2*log(x^2 - c)*log((x^2 - c)/c + 1) + 1/2*dilog(-(x^2 - c)/c)","B",0
243,1,48,0,0.465376," ","integrate(log(x)/(-x^2+1),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(-x\right) \log\left(x + 1\right) + \frac{1}{2} \, {\left(\log\left(x + 1\right) - \log\left(x - 1\right)\right)} \log\left(x\right) + \frac{1}{2} \, \log\left(x - 1\right) \log\left(x\right) - \frac{1}{2} \, {\rm Li}_2\left(x + 1\right) + \frac{1}{2} \, {\rm Li}_2\left(-x + 1\right)"," ",0,"-1/2*log(-x)*log(x + 1) + 1/2*(log(x + 1) - log(x - 1))*log(x) + 1/2*log(x - 1)*log(x) - 1/2*dilog(x + 1) + 1/2*dilog(-x + 1)","B",0
244,1,26,0,1.175033," ","integrate(log(x)/(x^2+1),x, algorithm=""maxima"")","\frac{1}{4} \, \pi \log\left(x^{2} + 1\right) + \frac{1}{2} i \, {\rm Li}_2\left(i \, x + 1\right) - \frac{1}{2} i \, {\rm Li}_2\left(-i \, x + 1\right)"," ",0,"1/4*pi*log(x^2 + 1) + 1/2*I*dilog(I*x + 1) - 1/2*I*dilog(-I*x + 1)","A",0
245,0,0,0,0.000000," ","integrate((a+b*log(c*x))/(-e*x^2+1),x, algorithm=""maxima"")","-\int \frac{b \log\left(c x\right) + a}{e x^{2} - 1}\,{d x}"," ",0,"-integrate((b*log(c*x) + a)/(e*x^2 - 1), x)","F",0
246,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(-e*x^2+1),x, algorithm=""maxima"")","-b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x^{2} - 1}\,{d x} - \frac{a \log\left(\frac{e x - \sqrt{e}}{e x + \sqrt{e}}\right)}{2 \, \sqrt{e}}"," ",0,"-b*integrate((log(c) + log(x^n))/(e*x^2 - 1), x) - 1/2*a*log((e*x - sqrt(e))/(e*x + sqrt(e)))/sqrt(e)","F",0
247,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{x}{d e x^{2} + d^{2}} + \frac{\arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} d}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}\,{d x}"," ",0,"1/2*a^2*(x/(d*e*x^2 + d^2) + arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d)) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
248,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{3} {\left(\frac{x}{d e x^{2} + d^{2}} + \frac{\arctan\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e} d}\right)} + \int \frac{b^{3} \log\left(c\right)^{3} + b^{3} \log\left(x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + 3 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left(x^{n}\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^{n}\right)}{e^{2} x^{4} + 2 \, d e x^{2} + d^{2}}\,{d x}"," ",0,"1/2*a^3*(x/(d*e*x^2 + d^2) + arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d)) + integrate((b^3*log(c)^3 + b^3*log(x^n)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + 3*(b^3*log(c) + a*b^2)*log(x^n)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(x^n))/(e^2*x^4 + 2*d*e*x^2 + d^2), x)","F",0
249,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(e x^{2} + d\right)}^{2} {\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((e*x^2 + d)^2*(b*log(c*x^n) + a)), x)","F",0
250,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^2/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{x}{b^{2} d^{2} n \log\left(c\right) + a b d^{2} n + {\left(b^{2} e^{2} n \log\left(c\right) + a b e^{2} n\right)} x^{4} + 2 \, {\left(b^{2} d e n \log\left(c\right) + a b d e n\right)} x^{2} + {\left(b^{2} e^{2} n x^{4} + 2 \, b^{2} d e n x^{2} + b^{2} d^{2} n\right)} \log\left(x^{n}\right)} - \int \frac{3 \, e x^{2} - d}{{\left(b^{2} e^{3} n \log\left(c\right) + a b e^{3} n\right)} x^{6} + b^{2} d^{3} n \log\left(c\right) + a b d^{3} n + 3 \, {\left(b^{2} d e^{2} n \log\left(c\right) + a b d e^{2} n\right)} x^{4} + 3 \, {\left(b^{2} d^{2} e n \log\left(c\right) + a b d^{2} e n\right)} x^{2} + {\left(b^{2} e^{3} n x^{6} + 3 \, b^{2} d e^{2} n x^{4} + 3 \, b^{2} d^{2} e n x^{2} + b^{2} d^{3} n\right)} \log\left(x^{n}\right)}\,{d x}"," ",0,"-x/(b^2*d^2*n*log(c) + a*b*d^2*n + (b^2*e^2*n*log(c) + a*b*e^2*n)*x^4 + 2*(b^2*d*e*n*log(c) + a*b*d*e*n)*x^2 + (b^2*e^2*n*x^4 + 2*b^2*d*e*n*x^2 + b^2*d^2*n)*log(x^n)) - integrate((3*e*x^2 - d)/((b^2*e^3*n*log(c) + a*b*e^3*n)*x^6 + b^2*d^3*n*log(c) + a*b*d^3*n + 3*(b^2*d*e^2*n*log(c) + a*b*d*e^2*n)*x^4 + 3*(b^2*d^2*e*n*log(c) + a*b*d^2*e*n)*x^2 + (b^2*e^3*n*x^6 + 3*b^2*d*e^2*n*x^4 + 3*b^2*d^2*e*n*x^2 + b^2*d^3*n)*log(x^n)), x)","F",0
251,1,220,0,1.026111," ","integrate(x^5*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""maxima"")","-\frac{1}{11025} \, {\left(\frac{420 \, d^{\frac{7}{2}} \log\left(\frac{\sqrt{e x^{2} + d} - \sqrt{d}}{\sqrt{e x^{2} + d} + \sqrt{d}}\right)}{e^{3}} + \frac{225 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} - 567 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d + 280 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2} + 840 \, \sqrt{e x^{2} + d} d^{3}}{e^{3}}\right)} b n + \frac{1}{105} \, {\left(\frac{15 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{4}}{e} - \frac{12 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d x^{2}}{e^{2}} + \frac{8 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2}}{e^{3}}\right)} b \log\left(c x^{n}\right) + \frac{1}{105} \, {\left(\frac{15 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{4}}{e} - \frac{12 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d x^{2}}{e^{2}} + \frac{8 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2}}{e^{3}}\right)} a"," ",0,"-1/11025*(420*d^(7/2)*log((sqrt(e*x^2 + d) - sqrt(d))/(sqrt(e*x^2 + d) + sqrt(d)))/e^3 + (225*(e*x^2 + d)^(7/2) - 567*(e*x^2 + d)^(5/2)*d + 280*(e*x^2 + d)^(3/2)*d^2 + 840*sqrt(e*x^2 + d)*d^3)/e^3)*b*n + 1/105*(15*(e*x^2 + d)^(3/2)*x^4/e - 12*(e*x^2 + d)^(3/2)*d*x^2/e^2 + 8*(e*x^2 + d)^(3/2)*d^2/e^3)*b*log(c*x^n) + 1/105*(15*(e*x^2 + d)^(3/2)*x^4/e - 12*(e*x^2 + d)^(3/2)*d*x^2/e^2 + 8*(e*x^2 + d)^(3/2)*d^2/e^3)*a","A",0
252,1,167,0,1.032342," ","integrate(x^3*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{225} \, {\left(\frac{15 \, d^{\frac{5}{2}} \log\left(\frac{\sqrt{e x^{2} + d} - \sqrt{d}}{\sqrt{e x^{2} + d} + \sqrt{d}}\right)}{e^{2}} - \frac{9 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} - 10 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d - 30 \, \sqrt{e x^{2} + d} d^{2}}{e^{2}}\right)} b n + \frac{1}{15} \, {\left(\frac{3 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{2}}{e} - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d}{e^{2}}\right)} b \log\left(c x^{n}\right) + \frac{1}{15} \, {\left(\frac{3 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{2}}{e} - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d}{e^{2}}\right)} a"," ",0,"1/225*(15*d^(5/2)*log((sqrt(e*x^2 + d) - sqrt(d))/(sqrt(e*x^2 + d) + sqrt(d)))/e^2 - (9*(e*x^2 + d)^(5/2) - 10*(e*x^2 + d)^(3/2)*d - 30*sqrt(e*x^2 + d)*d^2)/e^2)*b*n + 1/15*(3*(e*x^2 + d)^(3/2)*x^2/e - 2*(e*x^2 + d)^(3/2)*d/e^2)*b*log(c*x^n) + 1/15*(3*(e*x^2 + d)^(3/2)*x^2/e - 2*(e*x^2 + d)^(3/2)*d/e^2)*a","A",0
253,1,85,0,0.479273," ","integrate(x*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} b \log\left(c x^{n}\right)}{3 \, e} + \frac{{\left(3 \, d^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right) - {\left(e x^{2} + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x^{2} + d} d\right)} b n}{9 \, e} + \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} a}{3 \, e}"," ",0,"1/3*(e*x^2 + d)^(3/2)*b*log(c*x^n)/e + 1/9*(3*d^(3/2)*arcsinh(d/(sqrt(d*e)*abs(x))) - (e*x^2 + d)^(3/2) - 3*sqrt(e*x^2 + d)*d)*b*n/e + 1/3*(e*x^2 + d)^(3/2)*a/e","A",0
254,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x,x, algorithm=""maxima"")","-{\left(\sqrt{d} \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right) - \sqrt{e x^{2} + d}\right)} a + b \int \frac{\sqrt{e x^{2} + d} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}}{x}\,{d x}"," ",0,"-(sqrt(d)*arcsinh(d/(sqrt(d*e)*abs(x))) - sqrt(e*x^2 + d))*a + b*integrate(sqrt(e*x^2 + d)*(log(c) + log(x^n))/x, x)","F",0
255,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\frac{e \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{\sqrt{d}} - \frac{\sqrt{e x^{2} + d} e}{d} + \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}{d x^{2}}\right)} a + b \int \frac{\sqrt{e x^{2} + d} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}}{x^{3}}\,{d x}"," ",0,"-1/2*(e*arcsinh(d/(sqrt(d*e)*abs(x)))/sqrt(d) - sqrt(e*x^2 + d)*e/d + (e*x^2 + d)^(3/2)/(d*x^2))*a + b*integrate(sqrt(e*x^2 + d)*(log(c) + log(x^n))/x^3, x)","F",0
256,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{48} \, {\left(\frac{8 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{3}}{e} - \frac{6 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d x}{e^{2}} + \frac{3 \, \sqrt{e x^{2} + d} d^{2} x}{e^{2}} + \frac{3 \, d^{3} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{5}{2}}}\right)} a + b \int {\left(x^{4} \log\left(c\right) + x^{4} \log\left(x^{n}\right)\right)} \sqrt{e x^{2} + d}\,{d x}"," ",0,"1/48*(8*(e*x^2 + d)^(3/2)*x^3/e - 6*(e*x^2 + d)^(3/2)*d*x/e^2 + 3*sqrt(e*x^2 + d)*d^2*x/e^2 + 3*d^3*arcsinh(e*x/sqrt(d*e))/e^(5/2))*a + b*integrate((x^4*log(c) + x^4*log(x^n))*sqrt(e*x^2 + d), x)","F",0
257,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(\frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} x}{e} - \frac{\sqrt{e x^{2} + d} d x}{e} - \frac{d^{2} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{3}{2}}}\right)} a + b \int \sqrt{e x^{2} + d} {\left(x^{2} \log\left(c\right) + x^{2} \log\left(x^{n}\right)\right)}\,{d x}"," ",0,"1/8*(2*(e*x^2 + d)^(3/2)*x/e - sqrt(e*x^2 + d)*d*x/e - d^2*arcsinh(e*x/sqrt(d*e))/e^(3/2))*a + b*integrate(sqrt(e*x^2 + d)*(x^2*log(c) + x^2*log(x^n)), x)","F",0
258,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\sqrt{e x^{2} + d} x + \frac{d \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{e}}\right)} a + b \int \sqrt{e x^{2} + d} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}\,{d x}"," ",0,"1/2*(sqrt(e*x^2 + d)*x + d*arcsinh(e*x/sqrt(d*e))/sqrt(e))*a + b*integrate(sqrt(e*x^2 + d)*(log(c) + log(x^n)), x)","F",0
259,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^2,x, algorithm=""maxima"")","{\left(\sqrt{e} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right) - \frac{\sqrt{e x^{2} + d}}{x}\right)} a + b \int \frac{\sqrt{e x^{2} + d} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}}{x^{2}}\,{d x}"," ",0,"(sqrt(e)*arcsinh(e*x/sqrt(d*e)) - sqrt(e*x^2 + d)/x)*a + b*integrate(sqrt(e*x^2 + d)*(log(c) + log(x^n))/x^2, x)","F",0
260,1,118,0,0.608015," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^4,x, algorithm=""maxima"")","\frac{{\left(\frac{3 \, \sqrt{e x^{2} + d} e^{2} x}{d} + 3 \, e^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right) - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} e}{d x} - \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}{d x^{3}}\right)} b n}{9 \, d} - \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} b \log\left(c x^{n}\right)}{3 \, d x^{3}} - \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} a}{3 \, d x^{3}}"," ",0,"1/9*(3*sqrt(e*x^2 + d)*e^2*x/d + 3*e^(3/2)*arcsinh(e*x/sqrt(d*e)) - 2*(e*x^2 + d)^(3/2)*e/(d*x) - (e*x^2 + d)^(5/2)/(d*x^3))*b*n/d - 1/3*(e*x^2 + d)^(3/2)*b*log(c*x^n)/(d*x^3) - 1/3*(e*x^2 + d)^(3/2)*a/(d*x^3)","A",0
261,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^6,x, algorithm=""maxima"")","\frac{1}{15} \, a {\left(\frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} e}{d^{2} x^{3}} - \frac{3 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}}}{d x^{5}}\right)} + b \int \frac{\sqrt{e x^{2} + d} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}}{x^{6}}\,{d x}"," ",0,"1/15*a*(2*(e*x^2 + d)^(3/2)*e/(d^2*x^3) - 3*(e*x^2 + d)^(3/2)/(d*x^5)) + b*integrate(sqrt(e*x^2 + d)*(log(c) + log(x^n))/x^6, x)","F",0
262,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))*(e*x^2+d)^(1/2)/x^8,x, algorithm=""maxima"")","-\frac{1}{105} \, a {\left(\frac{8 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}}{d^{3} x^{3}} - \frac{12 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} e}{d^{2} x^{5}} + \frac{15 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}}}{d x^{7}}\right)} + b \int \frac{\sqrt{e x^{2} + d} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}}{x^{8}}\,{d x}"," ",0,"-1/105*a*(8*(e*x^2 + d)^(3/2)*e^2/(d^3*x^3) - 12*(e*x^2 + d)^(3/2)*e/(d^2*x^5) + 15*(e*x^2 + d)^(3/2)/(d*x^7)) + b*integrate(sqrt(e*x^2 + d)*(log(c) + log(x^n))/x^8, x)","F",0
263,1,234,0,1.451933," ","integrate(x^5*(e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{99225} \, {\left(\frac{1260 \, d^{\frac{9}{2}} \log\left(\frac{\sqrt{e x^{2} + d} - \sqrt{d}}{\sqrt{e x^{2} + d} + \sqrt{d}}\right)}{e^{3}} + \frac{1225 \, {\left(e x^{2} + d\right)}^{\frac{9}{2}} - 2475 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} d + 504 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d^{2} + 840 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{3} + 2520 \, \sqrt{e x^{2} + d} d^{4}}{e^{3}}\right)} b n + \frac{1}{315} \, {\left(\frac{35 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} x^{4}}{e} - \frac{20 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d x^{2}}{e^{2}} + \frac{8 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d^{2}}{e^{3}}\right)} b \log\left(c x^{n}\right) + \frac{1}{315} \, {\left(\frac{35 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} x^{4}}{e} - \frac{20 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d x^{2}}{e^{2}} + \frac{8 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d^{2}}{e^{3}}\right)} a"," ",0,"-1/99225*(1260*d^(9/2)*log((sqrt(e*x^2 + d) - sqrt(d))/(sqrt(e*x^2 + d) + sqrt(d)))/e^3 + (1225*(e*x^2 + d)^(9/2) - 2475*(e*x^2 + d)^(7/2)*d + 504*(e*x^2 + d)^(5/2)*d^2 + 840*(e*x^2 + d)^(3/2)*d^3 + 2520*sqrt(e*x^2 + d)*d^4)/e^3)*b*n + 1/315*(35*(e*x^2 + d)^(5/2)*x^4/e - 20*(e*x^2 + d)^(5/2)*d*x^2/e^2 + 8*(e*x^2 + d)^(5/2)*d^2/e^3)*b*log(c*x^n) + 1/315*(35*(e*x^2 + d)^(5/2)*x^4/e - 20*(e*x^2 + d)^(5/2)*d*x^2/e^2 + 8*(e*x^2 + d)^(5/2)*d^2/e^3)*a","A",0
264,1,181,0,1.327468," ","integrate(x^3*(e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{1}{3675} \, {\left(\frac{105 \, d^{\frac{7}{2}} \log\left(\frac{\sqrt{e x^{2} + d} - \sqrt{d}}{\sqrt{e x^{2} + d} + \sqrt{d}}\right)}{e^{2}} - \frac{75 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} - 42 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d - 70 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2} - 210 \, \sqrt{e x^{2} + d} d^{3}}{e^{2}}\right)} b n + \frac{1}{35} \, {\left(\frac{5 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} x^{2}}{e} - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d}{e^{2}}\right)} b \log\left(c x^{n}\right) + \frac{1}{35} \, {\left(\frac{5 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} x^{2}}{e} - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} d}{e^{2}}\right)} a"," ",0,"1/3675*(105*d^(7/2)*log((sqrt(e*x^2 + d) - sqrt(d))/(sqrt(e*x^2 + d) + sqrt(d)))/e^2 - (75*(e*x^2 + d)^(7/2) - 42*(e*x^2 + d)^(5/2)*d - 70*(e*x^2 + d)^(3/2)*d^2 - 210*sqrt(e*x^2 + d)*d^3)/e^2)*b*n + 1/35*(5*(e*x^2 + d)^(5/2)*x^2/e - 2*(e*x^2 + d)^(5/2)*d/e^2)*b*log(c*x^n) + 1/35*(5*(e*x^2 + d)^(5/2)*x^2/e - 2*(e*x^2 + d)^(5/2)*d/e^2)*a","A",0
265,1,99,0,0.673460," ","integrate(x*(e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}} b \log\left(c x^{n}\right)}{5 \, e} + \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}} a}{5 \, e} + \frac{{\left(15 \, d^{\frac{5}{2}} \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right) - 3 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} - 5 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d - 15 \, \sqrt{e x^{2} + d} d^{2}\right)} b n}{75 \, e}"," ",0,"1/5*(e*x^2 + d)^(5/2)*b*log(c*x^n)/e + 1/5*(e*x^2 + d)^(5/2)*a/e + 1/75*(15*d^(5/2)*arcsinh(d/(sqrt(d*e)*abs(x))) - 3*(e*x^2 + d)^(5/2) - 5*(e*x^2 + d)^(3/2)*d - 15*sqrt(e*x^2 + d)*d^2)*b*n/e","A",0
266,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(3 \, d^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right) - {\left(e x^{2} + d\right)}^{\frac{3}{2}} - 3 \, \sqrt{e x^{2} + d} d\right)} a + b \int \frac{{\left(e x^{2} \log\left(c\right) + d \log\left(c\right) + {\left(e x^{2} + d\right)} \log\left(x^{n}\right)\right)} \sqrt{e x^{2} + d}}{x}\,{d x}"," ",0,"-1/3*(3*d^(3/2)*arcsinh(d/(sqrt(d*e)*abs(x))) - (e*x^2 + d)^(3/2) - 3*sqrt(e*x^2 + d)*d)*a + b*integrate((e*x^2*log(c) + d*log(c) + (e*x^2 + d)*log(x^n))*sqrt(e*x^2 + d)/x, x)","F",0
267,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^3,x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(3 \, \sqrt{d} e \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right) - 3 \, \sqrt{e x^{2} + d} e - \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e}{d} + \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}{d x^{2}}\right)} a + b \int \frac{{\left(e x^{2} \log\left(c\right) + d \log\left(c\right) + {\left(e x^{2} + d\right)} \log\left(x^{n}\right)\right)} \sqrt{e x^{2} + d}}{x^{3}}\,{d x}"," ",0,"-1/2*(3*sqrt(d)*e*arcsinh(d/(sqrt(d*e)*abs(x))) - 3*sqrt(e*x^2 + d)*e - (e*x^2 + d)^(3/2)*e/d + (e*x^2 + d)^(5/2)/(d*x^2))*a + b*integrate((e*x^2*log(c) + d*log(c) + (e*x^2 + d)*log(x^n))*sqrt(e*x^2 + d)/x^3, x)","F",0
268,0,0,0,0.000000," ","integrate(x^2*(e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{1}{48} \, {\left(\frac{8 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} x}{e} - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d x}{e} - \frac{3 \, \sqrt{e x^{2} + d} d^{2} x}{e} - \frac{3 \, d^{3} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{3}{2}}}\right)} a + b \int {\left(e x^{4} \log\left(c\right) + d x^{2} \log\left(c\right) + {\left(e x^{4} + d x^{2}\right)} \log\left(x^{n}\right)\right)} \sqrt{e x^{2} + d}\,{d x}"," ",0,"1/48*(8*(e*x^2 + d)^(5/2)*x/e - 2*(e*x^2 + d)^(3/2)*d*x/e - 3*sqrt(e*x^2 + d)*d^2*x/e - 3*d^3*arcsinh(e*x/sqrt(d*e))/e^(3/2))*a + b*integrate((e*x^4*log(c) + d*x^2*log(c) + (e*x^4 + d*x^2)*log(x^n))*sqrt(e*x^2 + d), x)","F",0
269,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} x + 3 \, \sqrt{e x^{2} + d} d x + \frac{3 \, d^{2} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{e}}\right)} a + b \int {\left(e x^{2} \log\left(c\right) + d \log\left(c\right) + {\left(e x^{2} + d\right)} \log\left(x^{n}\right)\right)} \sqrt{e x^{2} + d}\,{d x}"," ",0,"1/8*(2*(e*x^2 + d)^(3/2)*x + 3*sqrt(e*x^2 + d)*d*x + 3*d^2*arcsinh(e*x/sqrt(d*e))/sqrt(e))*a + b*integrate((e*x^2*log(c) + d*log(c) + (e*x^2 + d)*log(x^n))*sqrt(e*x^2 + d), x)","F",0
270,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(3 \, \sqrt{e x^{2} + d} e x + 3 \, d \sqrt{e} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right) - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}}}{x}\right)} a + b \int \frac{{\left(e x^{2} \log\left(c\right) + d \log\left(c\right) + {\left(e x^{2} + d\right)} \log\left(x^{n}\right)\right)} \sqrt{e x^{2} + d}}{x^{2}}\,{d x}"," ",0,"1/2*(3*sqrt(e*x^2 + d)*e*x + 3*d*sqrt(e)*arcsinh(e*x/sqrt(d*e)) - 2*(e*x^2 + d)^(3/2)/x)*a + b*integrate((e*x^2*log(c) + d*log(c) + (e*x^2 + d)*log(x^n))*sqrt(e*x^2 + d)/x^2, x)","F",0
271,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\frac{3 \, \sqrt{e x^{2} + d} e^{2} x}{d} + 3 \, e^{\frac{3}{2}} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right) - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} e}{d x} - \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}}}{d x^{3}}\right)} a + b \int \frac{{\left(e x^{2} \log\left(c\right) + d \log\left(c\right) + {\left(e x^{2} + d\right)} \log\left(x^{n}\right)\right)} \sqrt{e x^{2} + d}}{x^{4}}\,{d x}"," ",0,"1/3*(3*sqrt(e*x^2 + d)*e^2*x/d + 3*e^(3/2)*arcsinh(e*x/sqrt(d*e)) - 2*(e*x^2 + d)^(3/2)*e/(d*x) - (e*x^2 + d)^(5/2)/(d*x^3))*a + b*integrate((e*x^2*log(c) + d*log(c) + (e*x^2 + d)*log(x^n))*sqrt(e*x^2 + d)/x^4, x)","F",0
272,1,156,0,0.642636," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^6,x, algorithm=""maxima"")","\frac{{\left(\frac{10 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{3} x}{d^{2}} + \frac{15 \, \sqrt{e x^{2} + d} e^{3} x}{d} + 15 \, e^{\frac{5}{2}} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right) - \frac{8 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} e^{2}}{d^{2} x} - \frac{2 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}} e}{d^{2} x^{3}} - \frac{3 \, {\left(e x^{2} + d\right)}^{\frac{7}{2}}}{d x^{5}}\right)} b n}{75 \, d} - \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}} b \log\left(c x^{n}\right)}{5 \, d x^{5}} - \frac{{\left(e x^{2} + d\right)}^{\frac{5}{2}} a}{5 \, d x^{5}}"," ",0,"1/75*(10*(e*x^2 + d)^(3/2)*e^3*x/d^2 + 15*sqrt(e*x^2 + d)*e^3*x/d + 15*e^(5/2)*arcsinh(e*x/sqrt(d*e)) - 8*(e*x^2 + d)^(5/2)*e^2/(d^2*x) - 2*(e*x^2 + d)^(7/2)*e/(d^2*x^3) - 3*(e*x^2 + d)^(7/2)/(d*x^5))*b*n/d - 1/5*(e*x^2 + d)^(5/2)*b*log(c*x^n)/(d*x^5) - 1/5*(e*x^2 + d)^(5/2)*a/(d*x^5)","A",0
273,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^8,x, algorithm=""maxima"")","\frac{1}{35} \, a {\left(\frac{2 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} e}{d^{2} x^{5}} - \frac{5 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}}}{d x^{7}}\right)} + b \int \frac{{\left(e x^{2} \log\left(c\right) + d \log\left(c\right) + {\left(e x^{2} + d\right)} \log\left(x^{n}\right)\right)} \sqrt{e x^{2} + d}}{x^{8}}\,{d x}"," ",0,"1/35*a*(2*(e*x^2 + d)^(5/2)*e/(d^2*x^5) - 5*(e*x^2 + d)^(5/2)/(d*x^7)) + b*integrate((e*x^2*log(c) + d*log(c) + (e*x^2 + d)*log(x^n))*sqrt(e*x^2 + d)/x^8, x)","F",0
274,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)*(a+b*log(c*x^n))/x^10,x, algorithm=""maxima"")","-\frac{1}{315} \, a {\left(\frac{8 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} e^{2}}{d^{3} x^{5}} - \frac{20 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} e}{d^{2} x^{7}} + \frac{35 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}}}{d x^{9}}\right)} + b \int \frac{{\left(e x^{2} \log\left(c\right) + d \log\left(c\right) + {\left(e x^{2} + d\right)} \log\left(x^{n}\right)\right)} \sqrt{e x^{2} + d}}{x^{10}}\,{d x}"," ",0,"-1/315*a*(8*(e*x^2 + d)^(5/2)*e^2/(d^3*x^5) - 20*(e*x^2 + d)^(5/2)*e/(d^2*x^7) + 35*(e*x^2 + d)^(5/2)/(d*x^9)) + b*integrate((e*x^2*log(c) + d*log(c) + (e*x^2 + d)*log(x^n))*sqrt(e*x^2 + d)/x^10, x)","F",0
275,1,39,0,1.301569," ","integrate(x*log(x)*(x^2+4)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(x^{2} + 4\right)}^{\frac{3}{2}} \log\left(x\right) - \frac{1}{9} \, {\left(x^{2} + 4\right)}^{\frac{3}{2}} - \frac{4}{3} \, \sqrt{x^{2} + 4} + \frac{8}{3} \, \operatorname{arsinh}\left(\frac{2}{{\left| x \right|}}\right)"," ",0,"1/3*(x^2 + 4)^(3/2)*log(x) - 1/9*(x^2 + 4)^(3/2) - 4/3*sqrt(x^2 + 4) + 8/3*arcsinh(2/abs(x))","A",0
276,1,206,0,1.338947," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","-\frac{1}{225} \, b n {\left(\frac{60 \, d^{\frac{5}{2}} \log\left(\frac{\sqrt{e x^{2} + d} - \sqrt{d}}{\sqrt{e x^{2} + d} + \sqrt{d}}\right)}{e^{3}} + \frac{9 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} - 35 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d + 120 \, \sqrt{e x^{2} + d} d^{2}}{e^{3}}\right)} + \frac{1}{15} \, {\left(\frac{3 \, \sqrt{e x^{2} + d} x^{4}}{e} - \frac{4 \, \sqrt{e x^{2} + d} d x^{2}}{e^{2}} + \frac{8 \, \sqrt{e x^{2} + d} d^{2}}{e^{3}}\right)} b \log\left(c x^{n}\right) + \frac{1}{15} \, {\left(\frac{3 \, \sqrt{e x^{2} + d} x^{4}}{e} - \frac{4 \, \sqrt{e x^{2} + d} d x^{2}}{e^{2}} + \frac{8 \, \sqrt{e x^{2} + d} d^{2}}{e^{3}}\right)} a"," ",0,"-1/225*b*n*(60*d^(5/2)*log((sqrt(e*x^2 + d) - sqrt(d))/(sqrt(e*x^2 + d) + sqrt(d)))/e^3 + (9*(e*x^2 + d)^(5/2) - 35*(e*x^2 + d)^(3/2)*d + 120*sqrt(e*x^2 + d)*d^2)/e^3) + 1/15*(3*sqrt(e*x^2 + d)*x^4/e - 4*sqrt(e*x^2 + d)*d*x^2/e^2 + 8*sqrt(e*x^2 + d)*d^2/e^3)*b*log(c*x^n) + 1/15*(3*sqrt(e*x^2 + d)*x^4/e - 4*sqrt(e*x^2 + d)*d*x^2/e^2 + 8*sqrt(e*x^2 + d)*d^2/e^3)*a","A",0
277,1,149,0,1.531542," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{9} \, b n {\left(\frac{3 \, d^{\frac{3}{2}} \log\left(\frac{\sqrt{e x^{2} + d} - \sqrt{d}}{\sqrt{e x^{2} + d} + \sqrt{d}}\right)}{e^{2}} - \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} - 6 \, \sqrt{e x^{2} + d} d}{e^{2}}\right)} + \frac{1}{3} \, {\left(\frac{\sqrt{e x^{2} + d} x^{2}}{e} - \frac{2 \, \sqrt{e x^{2} + d} d}{e^{2}}\right)} b \log\left(c x^{n}\right) + \frac{1}{3} \, {\left(\frac{\sqrt{e x^{2} + d} x^{2}}{e} - \frac{2 \, \sqrt{e x^{2} + d} d}{e^{2}}\right)} a"," ",0,"1/9*b*n*(3*d^(3/2)*log((sqrt(e*x^2 + d) - sqrt(d))/(sqrt(e*x^2 + d) + sqrt(d)))/e^2 - ((e*x^2 + d)^(3/2) - 6*sqrt(e*x^2 + d)*d)/e^2) + 1/3*(sqrt(e*x^2 + d)*x^2/e - 2*sqrt(e*x^2 + d)*d/e^2)*b*log(c*x^n) + 1/3*(sqrt(e*x^2 + d)*x^2/e - 2*sqrt(e*x^2 + d)*d/e^2)*a","A",0
278,1,69,0,0.673495," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{{\left(\sqrt{d} \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right) - \sqrt{e x^{2} + d}\right)} b n}{e} + \frac{\sqrt{e x^{2} + d} b \log\left(c x^{n}\right)}{e} + \frac{\sqrt{e x^{2} + d} a}{e}"," ",0,"(sqrt(d)*arcsinh(d/(sqrt(d*e)*abs(x))) - sqrt(e*x^2 + d))*b*n/e + sqrt(e*x^2 + d)*b*log(c*x^n)/e + sqrt(e*x^2 + d)*a/e","A",0
279,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{\sqrt{e x^{2} + d} x}\,{d x} - \frac{a \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{\sqrt{d}}"," ",0,"b*integrate((log(c) + log(x^n))/(sqrt(e*x^2 + d)*x), x) - a*arcsinh(d/(sqrt(d*e)*abs(x)))/sqrt(d)","F",0
280,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{e \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{d^{\frac{3}{2}}} - \frac{\sqrt{e x^{2} + d}}{d x^{2}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{\sqrt{e x^{2} + d} x^{3}}\,{d x}"," ",0,"1/2*a*(e*arcsinh(d/(sqrt(d*e)*abs(x)))/d^(3/2) - sqrt(e*x^2 + d)/(d*x^2)) + b*integrate((log(c) + log(x^n))/(sqrt(e*x^2 + d)*x^3), x)","F",0
281,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{\sqrt{e x^{2} + d} x}{e} - \frac{d \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{3}{2}}}\right)} + b \int \frac{x^{2} \log\left(c\right) + x^{2} \log\left(x^{n}\right)}{\sqrt{e x^{2} + d}}\,{d x}"," ",0,"1/2*a*(sqrt(e*x^2 + d)*x/e - d*arcsinh(e*x/sqrt(d*e))/e^(3/2)) + b*integrate((x^2*log(c) + x^2*log(x^n))/sqrt(e*x^2 + d), x)","F",0
282,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{\sqrt{e x^{2} + d}}\,{d x} + \frac{a \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{e}}"," ",0,"b*integrate((log(c) + log(x^n))/sqrt(e*x^2 + d), x) + a*arcsinh(e*x/sqrt(d*e))/sqrt(e)","F",0
283,1,77,0,0.710958," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{{\left(\sqrt{e} \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right) - \frac{\sqrt{e x^{2} + d}}{x}\right)} b n}{d} - \frac{\sqrt{e x^{2} + d} b \log\left(c x^{n}\right)}{d x} - \frac{\sqrt{e x^{2} + d} a}{d x}"," ",0,"(sqrt(e)*arcsinh(e*x/sqrt(d*e)) - sqrt(e*x^2 + d)/x)*b*n/d - sqrt(e*x^2 + d)*b*log(c*x^n)/(d*x) - sqrt(e*x^2 + d)*a/(d*x)","A",0
284,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, a {\left(\frac{2 \, \sqrt{e x^{2} + d} e}{d^{2} x} - \frac{\sqrt{e x^{2} + d}}{d x^{3}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{\sqrt{e x^{2} + d} x^{4}}\,{d x}"," ",0,"1/3*a*(2*sqrt(e*x^2 + d)*e/(d^2*x) - sqrt(e*x^2 + d)/(d*x^3)) + b*integrate((log(c) + log(x^n))/(sqrt(e*x^2 + d)*x^4), x)","F",0
285,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^6/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","-\frac{1}{15} \, a {\left(\frac{8 \, \sqrt{e x^{2} + d} e^{2}}{d^{3} x} - \frac{4 \, \sqrt{e x^{2} + d} e}{d^{2} x^{3}} + \frac{3 \, \sqrt{e x^{2} + d}}{d x^{5}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{\sqrt{e x^{2} + d} x^{6}}\,{d x}"," ",0,"-1/15*a*(8*sqrt(e*x^2 + d)*e^2/(d^3*x) - 4*sqrt(e*x^2 + d)*e/(d^2*x^3) + 3*sqrt(e*x^2 + d)/(d*x^5)) + b*integrate((log(c) + log(x^n))/(sqrt(e*x^2 + d)*x^6), x)","F",0
286,1,244,0,1.467681," ","integrate(x^7*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","-\frac{1}{75} \, b n {\left(\frac{120 \, d^{\frac{5}{2}} \log\left(\frac{\sqrt{e x^{2} + d} - \sqrt{d}}{\sqrt{e x^{2} + d} + \sqrt{d}}\right)}{e^{4}} + \frac{3 \, {\left(e x^{2} + d\right)}^{\frac{5}{2}} - 20 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} d + 165 \, \sqrt{e x^{2} + d} d^{2}}{e^{4}}\right)} + \frac{1}{5} \, {\left(\frac{x^{6}}{\sqrt{e x^{2} + d} e} - \frac{2 \, d x^{4}}{\sqrt{e x^{2} + d} e^{2}} + \frac{8 \, d^{2} x^{2}}{\sqrt{e x^{2} + d} e^{3}} + \frac{16 \, d^{3}}{\sqrt{e x^{2} + d} e^{4}}\right)} b \log\left(c x^{n}\right) + \frac{1}{5} \, {\left(\frac{x^{6}}{\sqrt{e x^{2} + d} e} - \frac{2 \, d x^{4}}{\sqrt{e x^{2} + d} e^{2}} + \frac{8 \, d^{2} x^{2}}{\sqrt{e x^{2} + d} e^{3}} + \frac{16 \, d^{3}}{\sqrt{e x^{2} + d} e^{4}}\right)} a"," ",0,"-1/75*b*n*(120*d^(5/2)*log((sqrt(e*x^2 + d) - sqrt(d))/(sqrt(e*x^2 + d) + sqrt(d)))/e^4 + (3*(e*x^2 + d)^(5/2) - 20*(e*x^2 + d)^(3/2)*d + 165*sqrt(e*x^2 + d)*d^2)/e^4) + 1/5*(x^6/(sqrt(e*x^2 + d)*e) - 2*d*x^4/(sqrt(e*x^2 + d)*e^2) + 8*d^2*x^2/(sqrt(e*x^2 + d)*e^3) + 16*d^3/(sqrt(e*x^2 + d)*e^4))*b*log(c*x^n) + 1/5*(x^6/(sqrt(e*x^2 + d)*e) - 2*d*x^4/(sqrt(e*x^2 + d)*e^2) + 8*d^2*x^2/(sqrt(e*x^2 + d)*e^3) + 16*d^3/(sqrt(e*x^2 + d)*e^4))*a","A",0
287,1,189,0,1.489962," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","\frac{1}{9} \, b n {\left(\frac{12 \, d^{\frac{3}{2}} \log\left(\frac{\sqrt{e x^{2} + d} - \sqrt{d}}{\sqrt{e x^{2} + d} + \sqrt{d}}\right)}{e^{3}} - \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} - 15 \, \sqrt{e x^{2} + d} d}{e^{3}}\right)} + \frac{1}{3} \, {\left(\frac{x^{4}}{\sqrt{e x^{2} + d} e} - \frac{4 \, d x^{2}}{\sqrt{e x^{2} + d} e^{2}} - \frac{8 \, d^{2}}{\sqrt{e x^{2} + d} e^{3}}\right)} b \log\left(c x^{n}\right) + \frac{1}{3} \, {\left(\frac{x^{4}}{\sqrt{e x^{2} + d} e} - \frac{4 \, d x^{2}}{\sqrt{e x^{2} + d} e^{2}} - \frac{8 \, d^{2}}{\sqrt{e x^{2} + d} e^{3}}\right)} a"," ",0,"1/9*b*n*(12*d^(3/2)*log((sqrt(e*x^2 + d) - sqrt(d))/(sqrt(e*x^2 + d) + sqrt(d)))/e^3 - ((e*x^2 + d)^(3/2) - 15*sqrt(e*x^2 + d)*d)/e^3) + 1/3*(x^4/(sqrt(e*x^2 + d)*e) - 4*d*x^2/(sqrt(e*x^2 + d)*e^2) - 8*d^2/(sqrt(e*x^2 + d)*e^3))*b*log(c*x^n) + 1/3*(x^4/(sqrt(e*x^2 + d)*e) - 4*d*x^2/(sqrt(e*x^2 + d)*e^2) - 8*d^2/(sqrt(e*x^2 + d)*e^3))*a","A",0
288,1,132,0,1.684384," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","-b n {\left(\frac{\sqrt{d} \log\left(\frac{\sqrt{e x^{2} + d} - \sqrt{d}}{\sqrt{e x^{2} + d} + \sqrt{d}}\right)}{e^{2}} + \frac{\sqrt{e x^{2} + d}}{e^{2}}\right)} + b {\left(\frac{x^{2}}{\sqrt{e x^{2} + d} e} + \frac{2 \, d}{\sqrt{e x^{2} + d} e^{2}}\right)} \log\left(c x^{n}\right) + a {\left(\frac{x^{2}}{\sqrt{e x^{2} + d} e} + \frac{2 \, d}{\sqrt{e x^{2} + d} e^{2}}\right)}"," ",0,"-b*n*(sqrt(d)*log((sqrt(e*x^2 + d) - sqrt(d))/(sqrt(e*x^2 + d) + sqrt(d)))/e^2 + sqrt(e*x^2 + d)/e^2) + b*(x^2/(sqrt(e*x^2 + d)*e) + 2*d/(sqrt(e*x^2 + d)*e^2))*log(c*x^n) + a*(x^2/(sqrt(e*x^2 + d)*e) + 2*d/(sqrt(e*x^2 + d)*e^2))","A",0
289,1,59,0,0.595524," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","-\frac{b n \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{\sqrt{d} e} - \frac{b \log\left(c x^{n}\right)}{\sqrt{e x^{2} + d} e} - \frac{a}{\sqrt{e x^{2} + d} e}"," ",0,"-b*n*arcsinh(d/(sqrt(d*e)*abs(x)))/(sqrt(d)*e) - b*log(c*x^n)/(sqrt(e*x^2 + d)*e) - a/(sqrt(e*x^2 + d)*e)","A",0
290,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","-a {\left(\frac{\operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{d^{\frac{3}{2}}} - \frac{1}{\sqrt{e x^{2} + d} d}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e x^{3} + d x\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"-a*(arcsinh(d/(sqrt(d*e)*abs(x)))/d^(3/2) - 1/(sqrt(e*x^2 + d)*d)) + b*integrate((log(c) + log(x^n))/((e*x^3 + d*x)*sqrt(e*x^2 + d)), x)","F",0
291,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{3 \, e \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{d^{\frac{5}{2}}} - \frac{3 \, e}{\sqrt{e x^{2} + d} d^{2}} - \frac{1}{\sqrt{e x^{2} + d} d x^{2}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e x^{5} + d x^{3}\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"1/2*a*(3*e*arcsinh(d/(sqrt(d*e)*abs(x)))/d^(5/2) - 3*e/(sqrt(e*x^2 + d)*d^2) - 1/(sqrt(e*x^2 + d)*d*x^2)) + b*integrate((log(c) + log(x^n))/((e*x^5 + d*x^3)*sqrt(e*x^2 + d)), x)","F",0
292,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","-a {\left(\frac{x}{\sqrt{e x^{2} + d} e} - \frac{\operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{3}{2}}}\right)} + b \int \frac{x^{2} \log\left(c\right) + x^{2} \log\left(x^{n}\right)}{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"-a*(x/(sqrt(e*x^2 + d)*e) - arcsinh(e*x/sqrt(d*e))/e^(3/2)) + b*integrate((x^2*log(c) + x^2*log(x^n))/(e*x^2 + d)^(3/2), x)","F",0
293,1,56,0,0.651064," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","-\frac{b n \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{d \sqrt{e}} + \frac{b x \log\left(c x^{n}\right)}{\sqrt{e x^{2} + d} d} + \frac{a x}{\sqrt{e x^{2} + d} d}"," ",0,"-b*n*arcsinh(e*x/sqrt(d*e))/(d*sqrt(e)) + b*x*log(c*x^n)/(sqrt(e*x^2 + d)*d) + a*x/(sqrt(e*x^2 + d)*d)","A",0
294,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","-a {\left(\frac{2 \, e x}{\sqrt{e x^{2} + d} d^{2}} + \frac{1}{\sqrt{e x^{2} + d} d x}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e x^{4} + d x^{2}\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"-a*(2*e*x/(sqrt(e*x^2 + d)*d^2) + 1/(sqrt(e*x^2 + d)*d*x)) + b*integrate((log(c) + log(x^n))/((e*x^4 + d*x^2)*sqrt(e*x^2 + d)), x)","F",0
295,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","\frac{1}{3} \, a {\left(\frac{8 \, e^{2} x}{\sqrt{e x^{2} + d} d^{3}} + \frac{4 \, e}{\sqrt{e x^{2} + d} d^{2} x} - \frac{1}{\sqrt{e x^{2} + d} d x^{3}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e x^{6} + d x^{4}\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"1/3*a*(8*e^2*x/(sqrt(e*x^2 + d)*d^3) + 4*e/(sqrt(e*x^2 + d)*d^2*x) - 1/(sqrt(e*x^2 + d)*d*x^3)) + b*integrate((log(c) + log(x^n))/((e*x^6 + d*x^4)*sqrt(e*x^2 + d)), x)","F",0
296,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^6/(e*x^2+d)^(3/2),x, algorithm=""maxima"")","-\frac{1}{5} \, a {\left(\frac{16 \, e^{3} x}{\sqrt{e x^{2} + d} d^{4}} + \frac{8 \, e^{2}}{\sqrt{e x^{2} + d} d^{3} x} - \frac{2 \, e}{\sqrt{e x^{2} + d} d^{2} x^{3}} + \frac{1}{\sqrt{e x^{2} + d} d x^{5}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e x^{8} + d x^{6}\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"-1/5*a*(16*e^3*x/(sqrt(e*x^2 + d)*d^4) + 8*e^2/(sqrt(e*x^2 + d)*d^3*x) - 2*e/(sqrt(e*x^2 + d)*d^2*x^3) + 1/(sqrt(e*x^2 + d)*d*x^5)) + b*integrate((log(c) + log(x^n))/((e*x^8 + d*x^6)*sqrt(e*x^2 + d)), x)","F",0
297,1,246,0,1.610810," ","integrate(x^7*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","\frac{1}{9} \, b n {\left(\frac{24 \, d^{\frac{3}{2}} \log\left(\frac{\sqrt{e x^{2} + d} - \sqrt{d}}{\sqrt{e x^{2} + d} + \sqrt{d}}\right)}{e^{4}} - \frac{3 \, d^{2}}{\sqrt{e x^{2} + d} e^{4}} - \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} - 24 \, \sqrt{e x^{2} + d} d}{e^{4}}\right)} + \frac{1}{3} \, {\left(\frac{x^{6}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} - \frac{6 \, d x^{4}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}} - \frac{24 \, d^{2} x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{3}} - \frac{16 \, d^{3}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{4}}\right)} b \log\left(c x^{n}\right) + \frac{1}{3} \, {\left(\frac{x^{6}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} - \frac{6 \, d x^{4}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}} - \frac{24 \, d^{2} x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{3}} - \frac{16 \, d^{3}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{4}}\right)} a"," ",0,"1/9*b*n*(24*d^(3/2)*log((sqrt(e*x^2 + d) - sqrt(d))/(sqrt(e*x^2 + d) + sqrt(d)))/e^4 - 3*d^2/(sqrt(e*x^2 + d)*e^4) - ((e*x^2 + d)^(3/2) - 24*sqrt(e*x^2 + d)*d)/e^4) + 1/3*(x^6/((e*x^2 + d)^(3/2)*e) - 6*d*x^4/((e*x^2 + d)^(3/2)*e^2) - 24*d^2*x^2/((e*x^2 + d)^(3/2)*e^3) - 16*d^3/((e*x^2 + d)^(3/2)*e^4))*b*log(c*x^n) + 1/3*(x^6/((e*x^2 + d)^(3/2)*e) - 6*d*x^4/((e*x^2 + d)^(3/2)*e^2) - 24*d^2*x^2/((e*x^2 + d)^(3/2)*e^3) - 16*d^3/((e*x^2 + d)^(3/2)*e^4))*a","A",0
298,1,193,0,1.337123," ","integrate(x^5*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, b n {\left(\frac{4 \, \sqrt{d} \log\left(\frac{\sqrt{e x^{2} + d} - \sqrt{d}}{\sqrt{e x^{2} + d} + \sqrt{d}}\right)}{e^{3}} + \frac{3 \, \sqrt{e x^{2} + d}}{e^{3}} - \frac{d}{\sqrt{e x^{2} + d} e^{3}}\right)} + \frac{1}{3} \, {\left(\frac{3 \, x^{4}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{12 \, d x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}} + \frac{8 \, d^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{3}}\right)} b \log\left(c x^{n}\right) + \frac{1}{3} \, {\left(\frac{3 \, x^{4}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{12 \, d x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}} + \frac{8 \, d^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{3}}\right)} a"," ",0,"-1/3*b*n*(4*sqrt(d)*log((sqrt(e*x^2 + d) - sqrt(d))/(sqrt(e*x^2 + d) + sqrt(d)))/e^3 + 3*sqrt(e*x^2 + d)/e^3 - d/(sqrt(e*x^2 + d)*e^3)) + 1/3*(3*x^4/((e*x^2 + d)^(3/2)*e) + 12*d*x^2/((e*x^2 + d)^(3/2)*e^2) + 8*d^2/((e*x^2 + d)^(3/2)*e^3))*b*log(c*x^n) + 1/3*(3*x^4/((e*x^2 + d)^(3/2)*e) + 12*d*x^2/((e*x^2 + d)^(3/2)*e^2) + 8*d^2/((e*x^2 + d)^(3/2)*e^3))*a","A",0
299,1,137,0,1.428309," ","integrate(x^3*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, b n {\left(\frac{\log\left(\frac{\sqrt{e x^{2} + d} - \sqrt{d}}{\sqrt{e x^{2} + d} + \sqrt{d}}\right)}{\sqrt{d} e^{2}} - \frac{1}{\sqrt{e x^{2} + d} e^{2}}\right)} - \frac{1}{3} \, b {\left(\frac{3 \, x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{2 \, d}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}}\right)} \log\left(c x^{n}\right) - \frac{1}{3} \, a {\left(\frac{3 \, x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{2 \, d}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}}\right)}"," ",0,"1/3*b*n*(log((sqrt(e*x^2 + d) - sqrt(d))/(sqrt(e*x^2 + d) + sqrt(d)))/(sqrt(d)*e^2) - 1/(sqrt(e*x^2 + d)*e^2)) - 1/3*b*(3*x^2/((e*x^2 + d)^(3/2)*e) + 2*d/((e*x^2 + d)^(3/2)*e^2))*log(c*x^n) - 1/3*a*(3*x^2/((e*x^2 + d)^(3/2)*e) + 2*d/((e*x^2 + d)^(3/2)*e^2))","A",0
300,1,75,0,0.700038," ","integrate(x*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","-\frac{b n {\left(\frac{\operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{d^{\frac{3}{2}}} - \frac{1}{\sqrt{e x^{2} + d} d}\right)}}{3 \, e} - \frac{b \log\left(c x^{n}\right)}{3 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} e} - \frac{a}{3 \, {\left(e x^{2} + d\right)}^{\frac{3}{2}} e}"," ",0,"-1/3*b*n*(arcsinh(d/(sqrt(d*e)*abs(x)))/d^(3/2) - 1/(sqrt(e*x^2 + d)*d))/e - 1/3*b*log(c*x^n)/((e*x^2 + d)^(3/2)*e) - 1/3*a/((e*x^2 + d)^(3/2)*e)","A",0
301,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, a {\left(\frac{3 \, \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{d^{\frac{5}{2}}} - \frac{3}{\sqrt{e x^{2} + d} d^{2}} - \frac{1}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} d}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e^{2} x^{5} + 2 \, d e x^{3} + d^{2} x\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"-1/3*a*(3*arcsinh(d/(sqrt(d*e)*abs(x)))/d^(5/2) - 3/(sqrt(e*x^2 + d)*d^2) - 1/((e*x^2 + d)^(3/2)*d)) + b*integrate((log(c) + log(x^n))/((e^2*x^5 + 2*d*e*x^3 + d^2*x)*sqrt(e*x^2 + d)), x)","F",0
302,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, a {\left(\frac{15 \, e \operatorname{arsinh}\left(\frac{d}{\sqrt{d e} {\left| x \right|}}\right)}{d^{\frac{7}{2}}} - \frac{15 \, e}{\sqrt{e x^{2} + d} d^{3}} - \frac{5 \, e}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2}} - \frac{3}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} d x^{2}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e^{2} x^{7} + 2 \, d e x^{5} + d^{2} x^{3}\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"1/6*a*(15*e*arcsinh(d/(sqrt(d*e)*abs(x)))/d^(7/2) - 15*e/(sqrt(e*x^2 + d)*d^3) - 5*e/((e*x^2 + d)^(3/2)*d^2) - 3/((e*x^2 + d)^(3/2)*d*x^2)) + b*integrate((log(c) + log(x^n))/((e^2*x^7 + 2*d*e*x^5 + d^2*x^3)*sqrt(e*x^2 + d)), x)","F",0
303,0,0,0,0.000000," ","integrate(x^6*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(\frac{3 \, x^{5}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{5 \, d x {\left(\frac{3 \, x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{2 \, d}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}}\right)}}{e} + \frac{5 \, d x}{\sqrt{e x^{2} + d} e^{3}} - \frac{15 \, d \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{7}{2}}}\right)} a + b \int \frac{x^{6} \log\left(c\right) + x^{6} \log\left(x^{n}\right)}{{\left(e^{2} x^{4} + 2 \, d e x^{2} + d^{2}\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"1/6*(3*x^5/((e*x^2 + d)^(3/2)*e) + 5*d*x*(3*x^2/((e*x^2 + d)^(3/2)*e) + 2*d/((e*x^2 + d)^(3/2)*e^2))/e + 5*d*x/(sqrt(e*x^2 + d)*e^3) - 15*d*arcsinh(e*x/sqrt(d*e))/e^(7/2))*a + b*integrate((x^6*log(c) + x^6*log(x^n))/((e^2*x^4 + 2*d*e*x^2 + d^2)*sqrt(e*x^2 + d)), x)","F",0
304,0,0,0,0.000000," ","integrate(x^4*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(x {\left(\frac{3 \, x^{2}}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} + \frac{2 \, d}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e^{2}}\right)} + \frac{x}{\sqrt{e x^{2} + d} e^{2}} - \frac{3 \, \operatorname{arsinh}\left(\frac{e x}{\sqrt{d e}}\right)}{e^{\frac{5}{2}}}\right)} a + b \int \frac{x^{4} \log\left(c\right) + x^{4} \log\left(x^{n}\right)}{{\left(e^{2} x^{4} + 2 \, d e x^{2} + d^{2}\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"-1/3*(x*(3*x^2/((e*x^2 + d)^(3/2)*e) + 2*d/((e*x^2 + d)^(3/2)*e^2)) + x/(sqrt(e*x^2 + d)*e^2) - 3*arcsinh(e*x/sqrt(d*e))/e^(5/2))*a + b*integrate((x^4*log(c) + x^4*log(x^n))/((e^2*x^4 + 2*d*e*x^2 + d^2)*sqrt(e*x^2 + d)), x)","F",0
305,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, a {\left(\frac{x}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} e} - \frac{x}{\sqrt{e x^{2} + d} d e}\right)} + b \int \frac{x^{2} \log\left(c\right) + x^{2} \log\left(x^{n}\right)}{{\left(e^{2} x^{4} + 2 \, d e x^{2} + d^{2}\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"-1/3*a*(x/((e*x^2 + d)^(3/2)*e) - x/(sqrt(e*x^2 + d)*d*e)) + b*integrate((x^2*log(c) + x^2*log(x^n))/((e^2*x^4 + 2*d*e*x^2 + d^2)*sqrt(e*x^2 + d)), x)","F",0
306,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, a {\left(\frac{2 \, x}{\sqrt{e x^{2} + d} d^{2}} + \frac{x}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} d}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e^{2} x^{4} + 2 \, d e x^{2} + d^{2}\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"1/3*a*(2*x/(sqrt(e*x^2 + d)*d^2) + x/((e*x^2 + d)^(3/2)*d)) + b*integrate((log(c) + log(x^n))/((e^2*x^4 + 2*d*e*x^2 + d^2)*sqrt(e*x^2 + d)), x)","F",0
307,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3} \, a {\left(\frac{8 \, e x}{\sqrt{e x^{2} + d} d^{3}} + \frac{4 \, e x}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2}} + \frac{3}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} d x}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e^{2} x^{6} + 2 \, d e x^{4} + d^{2} x^{2}\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"-1/3*a*(8*e*x/(sqrt(e*x^2 + d)*d^3) + 4*e*x/((e*x^2 + d)^(3/2)*d^2) + 3/((e*x^2 + d)^(3/2)*d*x)) + b*integrate((log(c) + log(x^n))/((e^2*x^6 + 2*d*e*x^4 + d^2*x^2)*sqrt(e*x^2 + d)), x)","F",0
308,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(e*x^2+d)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, a {\left(\frac{16 \, e^{2} x}{\sqrt{e x^{2} + d} d^{4}} + \frac{8 \, e^{2} x}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{3}} + \frac{6 \, e}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} d^{2} x} - \frac{1}{{\left(e x^{2} + d\right)}^{\frac{3}{2}} d x^{3}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e^{2} x^{8} + 2 \, d e x^{6} + d^{2} x^{4}\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"1/3*a*(16*e^2*x/(sqrt(e*x^2 + d)*d^4) + 8*e^2*x/((e*x^2 + d)^(3/2)*d^3) + 6*e/((e*x^2 + d)^(3/2)*d^2*x) - 1/((e*x^2 + d)^(3/2)*d*x^3)) + b*integrate((log(c) + log(x^n))/((e^2*x^8 + 2*d*e*x^6 + d^2*x^4)*sqrt(e*x^2 + d)), x)","F",0
309,1,199,0,1.543051," ","integrate(x^3*(a+b*log(c*x^n))/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","-\frac{1}{9} \, b n {\left(\frac{3 \, d^{3} \log\left(d + \sqrt{-e^{2} x^{2} + d^{2}}\right)}{e^{4}} - \frac{3 \, d^{3} \log\left(-d + \sqrt{-e^{2} x^{2} + d^{2}}\right)}{e^{4}} - \frac{6 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2} - {\left(-e^{2} x^{2} + d^{2}\right)}^{\frac{3}{2}}}{e^{4}}\right)} - \frac{1}{3} \, b {\left(\frac{\sqrt{-e^{2} x^{2} + d^{2}} x^{2}}{e^{2}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{e^{4}}\right)} \log\left(c x^{n}\right) - \frac{1}{3} \, a {\left(\frac{\sqrt{-e^{2} x^{2} + d^{2}} x^{2}}{e^{2}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d^{2}}{e^{4}}\right)}"," ",0,"-1/9*b*n*(3*d^3*log(d + sqrt(-e^2*x^2 + d^2))/e^4 - 3*d^3*log(-d + sqrt(-e^2*x^2 + d^2))/e^4 - (6*sqrt(-e^2*x^2 + d^2)*d^2 - (-e^2*x^2 + d^2)^(3/2))/e^4) - 1/3*b*(sqrt(-e^2*x^2 + d^2)*x^2/e^2 + 2*sqrt(-e^2*x^2 + d^2)*d^2/e^4)*log(c*x^n) - 1/3*a*(sqrt(-e^2*x^2 + d^2)*x^2/e^2 + 2*sqrt(-e^2*x^2 + d^2)*d^2/e^4)","A",0
310,1,105,0,1.457216," ","integrate(x*(a+b*log(c*x^n))/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","-\frac{{\left(d \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right) - \sqrt{-e^{2} x^{2} + d^{2}}\right)} b n}{e^{2}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} b \log\left(c x^{n}\right)}{e^{2}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} a}{e^{2}}"," ",0,"-(d*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x)) - sqrt(-e^2*x^2 + d^2))*b*n/e^2 - sqrt(-e^2*x^2 + d^2)*b*log(c*x^n)/e^2 - sqrt(-e^2*x^2 + d^2)*a/e^2","A",0
311,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{\sqrt{e x + d} \sqrt{-e x + d} x}\,{d x} - \frac{a \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{d}"," ",0,"b*integrate((log(c) + log(x^n))/(sqrt(e*x + d)*sqrt(-e*x + d)*x), x) - a*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d","F",0
312,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{e^{2} \log\left(\frac{2 \, d^{2}}{{\left| x \right|}} + \frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} d}{{\left| x \right|}}\right)}{d^{3}} + \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{d^{2} x^{2}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{\sqrt{e x + d} \sqrt{-e x + d} x^{3}}\,{d x}"," ",0,"-1/2*a*(e^2*log(2*d^2/abs(x) + 2*sqrt(-e^2*x^2 + d^2)*d/abs(x))/d^3 + sqrt(-e^2*x^2 + d^2)/(d^2*x^2)) + b*integrate((log(c) + log(x^n))/(sqrt(e*x + d)*sqrt(-e*x + d)*x^3), x)","F",0
313,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{d^{2} \arcsin\left(\frac{e x}{d}\right)}{e^{3}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} x}{e^{2}}\right)} + b \int \frac{x^{2} \log\left(c\right) + x^{2} \log\left(x^{n}\right)}{\sqrt{e x + d} \sqrt{-e x + d}}\,{d x}"," ",0,"1/2*a*(d^2*arcsin(e*x/d)/e^3 - sqrt(-e^2*x^2 + d^2)*x/e^2) + b*integrate((x^2*log(c) + x^2*log(x^n))/(sqrt(e*x + d)*sqrt(-e*x + d)), x)","F",0
314,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{\sqrt{e x + d} \sqrt{-e x + d}}\,{d x} + \frac{a \arcsin\left(\frac{e x}{d}\right)}{e}"," ",0,"b*integrate((log(c) + log(x^n))/(sqrt(e*x + d)*sqrt(-e*x + d)), x) + a*arcsin(e*x/d)/e","F",0
315,1,88,0,1.241764," ","integrate((a+b*log(c*x^n))/x^2/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","-\frac{{\left(e \arcsin\left(\frac{e x}{d}\right) + \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{x}\right)} b n}{d^{2}} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} b \log\left(c x^{n}\right)}{d^{2} x} - \frac{\sqrt{-e^{2} x^{2} + d^{2}} a}{d^{2} x}"," ",0,"-(e*arcsin(e*x/d) + sqrt(-e^2*x^2 + d^2)/x)*b*n/d^2 - sqrt(-e^2*x^2 + d^2)*b*log(c*x^n)/(d^2*x) - sqrt(-e^2*x^2 + d^2)*a/(d^2*x)","A",0
316,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^4/(-e*x+d)^(1/2)/(e*x+d)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, a {\left(\frac{2 \, \sqrt{-e^{2} x^{2} + d^{2}} e^{2}}{d^{4} x} + \frac{\sqrt{-e^{2} x^{2} + d^{2}}}{d^{2} x^{3}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{\sqrt{e x + d} \sqrt{-e x + d} x^{4}}\,{d x}"," ",0,"-1/3*a*(2*sqrt(-e^2*x^2 + d^2)*e^2/(d^4*x) + sqrt(-e^2*x^2 + d^2)/(d^2*x^3)) + b*integrate((log(c) + log(x^n))/(sqrt(e*x + d)*sqrt(-e*x + d)*x^4), x)","F",0
317,1,27,0,1.291308," ","integrate(x*log(x)/(x^2-1)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} - 1} \log\left(x\right) - \sqrt{x^{2} - 1} - \arcsin\left(\frac{1}{{\left| x \right|}}\right)"," ",0,"sqrt(x^2 - 1)*log(x) - sqrt(x^2 - 1) - arcsin(1/abs(x))","A",0
318,1,271,0,0.827471," ","integrate((f*x)^m*(e*x^2+d)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{b e^{3} f^{m} x^{7} x^{m} \log\left(c x^{n}\right)}{m + 7} + \frac{a e^{3} f^{m} x^{7} x^{m}}{m + 7} - \frac{b e^{3} f^{m} n x^{7} x^{m}}{{\left(m + 7\right)}^{2}} + \frac{3 \, b d e^{2} f^{m} x^{5} x^{m} \log\left(c x^{n}\right)}{m + 5} + \frac{3 \, a d e^{2} f^{m} x^{5} x^{m}}{m + 5} - \frac{3 \, b d e^{2} f^{m} n x^{5} x^{m}}{{\left(m + 5\right)}^{2}} + \frac{3 \, b d^{2} e f^{m} x^{3} x^{m} \log\left(c x^{n}\right)}{m + 3} + \frac{3 \, a d^{2} e f^{m} x^{3} x^{m}}{m + 3} - \frac{3 \, b d^{2} e f^{m} n x^{3} x^{m}}{{\left(m + 3\right)}^{2}} - \frac{b d^{3} f^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{\left(f x\right)^{m + 1} b d^{3} \log\left(c x^{n}\right)}{f {\left(m + 1\right)}} + \frac{\left(f x\right)^{m + 1} a d^{3}}{f {\left(m + 1\right)}}"," ",0,"b*e^3*f^m*x^7*x^m*log(c*x^n)/(m + 7) + a*e^3*f^m*x^7*x^m/(m + 7) - b*e^3*f^m*n*x^7*x^m/(m + 7)^2 + 3*b*d*e^2*f^m*x^5*x^m*log(c*x^n)/(m + 5) + 3*a*d*e^2*f^m*x^5*x^m/(m + 5) - 3*b*d*e^2*f^m*n*x^5*x^m/(m + 5)^2 + 3*b*d^2*e*f^m*x^3*x^m*log(c*x^n)/(m + 3) + 3*a*d^2*e*f^m*x^3*x^m/(m + 3) - 3*b*d^2*e*f^m*n*x^3*x^m/(m + 3)^2 - b*d^3*f^m*n*x*x^m/(m + 1)^2 + (f*x)^(m + 1)*b*d^3*log(c*x^n)/(f*(m + 1)) + (f*x)^(m + 1)*a*d^3/(f*(m + 1))","A",0
319,1,195,0,0.849177," ","integrate((f*x)^m*(e*x^2+d)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{b e^{2} f^{m} x^{5} x^{m} \log\left(c x^{n}\right)}{m + 5} + \frac{a e^{2} f^{m} x^{5} x^{m}}{m + 5} - \frac{b e^{2} f^{m} n x^{5} x^{m}}{{\left(m + 5\right)}^{2}} + \frac{2 \, b d e f^{m} x^{3} x^{m} \log\left(c x^{n}\right)}{m + 3} + \frac{2 \, a d e f^{m} x^{3} x^{m}}{m + 3} - \frac{2 \, b d e f^{m} n x^{3} x^{m}}{{\left(m + 3\right)}^{2}} - \frac{b d^{2} f^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{\left(f x\right)^{m + 1} b d^{2} \log\left(c x^{n}\right)}{f {\left(m + 1\right)}} + \frac{\left(f x\right)^{m + 1} a d^{2}}{f {\left(m + 1\right)}}"," ",0,"b*e^2*f^m*x^5*x^m*log(c*x^n)/(m + 5) + a*e^2*f^m*x^5*x^m/(m + 5) - b*e^2*f^m*n*x^5*x^m/(m + 5)^2 + 2*b*d*e*f^m*x^3*x^m*log(c*x^n)/(m + 3) + 2*a*d*e*f^m*x^3*x^m/(m + 3) - 2*b*d*e*f^m*n*x^3*x^m/(m + 3)^2 - b*d^2*f^m*n*x*x^m/(m + 1)^2 + (f*x)^(m + 1)*b*d^2*log(c*x^n)/(f*(m + 1)) + (f*x)^(m + 1)*a*d^2/(f*(m + 1))","A",0
320,1,119,0,1.116967," ","integrate((f*x)^m*(e*x^2+d)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{b e f^{m} x^{3} x^{m} \log\left(c x^{n}\right)}{m + 3} + \frac{a e f^{m} x^{3} x^{m}}{m + 3} - \frac{b e f^{m} n x^{3} x^{m}}{{\left(m + 3\right)}^{2}} - \frac{b d f^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{\left(f x\right)^{m + 1} b d \log\left(c x^{n}\right)}{f {\left(m + 1\right)}} + \frac{\left(f x\right)^{m + 1} a d}{f {\left(m + 1\right)}}"," ",0,"b*e*f^m*x^3*x^m*log(c*x^n)/(m + 3) + a*e*f^m*x^3*x^m/(m + 3) - b*e*f^m*n*x^3*x^m/(m + 3)^2 - b*d*f^m*n*x*x^m/(m + 1)^2 + (f*x)^(m + 1)*b*d*log(c*x^n)/(f*(m + 1)) + (f*x)^(m + 1)*a*d/(f*(m + 1))","A",0
321,1,57,0,1.019703," ","integrate((f*x)^m*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{b f^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{\left(f x\right)^{m + 1} b \log\left(c x^{n}\right)}{f {\left(m + 1\right)}} + \frac{\left(f x\right)^{m + 1} a}{f {\left(m + 1\right)}}"," ",0,"-b*f^m*n*x*x^m/(m + 1)^2 + (f*x)^(m + 1)*b*log(c*x^n)/(f*(m + 1)) + (f*x)^(m + 1)*a/(f*(m + 1))","A",0
322,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))/(e*x^2+d),x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \left(f x\right)^{m}}{e x^{2} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(f*x)^m/(e*x^2 + d), x)","F",0
323,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))/(e*x^2+d)^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \left(f x\right)^{m}}{{\left(e x^{2} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(f*x)^m/(e*x^2 + d)^2, x)","F",0
324,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^3/(e*x^3+d)^2,x, algorithm=""maxima"")","\frac{1}{9} \, a^{3} {\left(\frac{3 \, x}{d e x^{3} + d^{2}} + \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{d}{e}\right)^{\frac{1}{3}}}\right)}{d e \left(\frac{d}{e}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{d}{e}\right)^{\frac{1}{3}} + \left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{d e \left(\frac{d}{e}\right)^{\frac{2}{3}}} + \frac{2 \, \log\left(x + \left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{d e \left(\frac{d}{e}\right)^{\frac{2}{3}}}\right)} + \int \frac{b^{3} \log\left(c\right)^{3} + b^{3} \log\left(x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + 3 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left(x^{n}\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^{n}\right)}{e^{2} x^{6} + 2 \, d e x^{3} + d^{2}}\,{d x}"," ",0,"1/9*a^3*(3*x/(d*e*x^3 + d^2) + 2*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (d/e)^(1/3))/(d/e)^(1/3))/(d*e*(d/e)^(2/3)) - log(x^2 - x*(d/e)^(1/3) + (d/e)^(2/3))/(d*e*(d/e)^(2/3)) + 2*log(x + (d/e)^(1/3))/(d*e*(d/e)^(2/3))) + integrate((b^3*log(c)^3 + b^3*log(x^n)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + 3*(b^3*log(c) + a*b^2)*log(x^n)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(x^n))/(e^2*x^6 + 2*d*e*x^3 + d^2), x)","F",0
325,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/(e*x^3+d)^2,x, algorithm=""maxima"")","\frac{1}{9} \, a^{2} {\left(\frac{3 \, x}{d e x^{3} + d^{2}} + \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{d}{e}\right)^{\frac{1}{3}}}\right)}{d e \left(\frac{d}{e}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{d}{e}\right)^{\frac{1}{3}} + \left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{d e \left(\frac{d}{e}\right)^{\frac{2}{3}}} + \frac{2 \, \log\left(x + \left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{d e \left(\frac{d}{e}\right)^{\frac{2}{3}}}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e^{2} x^{6} + 2 \, d e x^{3} + d^{2}}\,{d x}"," ",0,"1/9*a^2*(3*x/(d*e*x^3 + d^2) + 2*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (d/e)^(1/3))/(d/e)^(1/3))/(d*e*(d/e)^(2/3)) - log(x^2 - x*(d/e)^(1/3) + (d/e)^(2/3))/(d*e*(d/e)^(2/3)) + 2*log(x + (d/e)^(1/3))/(d*e*(d/e)^(2/3))) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e^2*x^6 + 2*d*e*x^3 + d^2), x)","F",0
326,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(e*x^3+d)^2,x, algorithm=""maxima"")","\frac{1}{9} \, a {\left(\frac{3 \, x}{d e x^{3} + d^{2}} + \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{d}{e}\right)^{\frac{1}{3}}}\right)}{d e \left(\frac{d}{e}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{d}{e}\right)^{\frac{1}{3}} + \left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{d e \left(\frac{d}{e}\right)^{\frac{2}{3}}} + \frac{2 \, \log\left(x + \left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{d e \left(\frac{d}{e}\right)^{\frac{2}{3}}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{2} x^{6} + 2 \, d e x^{3} + d^{2}}\,{d x}"," ",0,"1/9*a*(3*x/(d*e*x^3 + d^2) + 2*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (d/e)^(1/3))/(d/e)^(1/3))/(d*e*(d/e)^(2/3)) - log(x^2 - x*(d/e)^(1/3) + (d/e)^(2/3))/(d*e*(d/e)^(2/3)) + 2*log(x + (d/e)^(1/3))/(d*e*(d/e)^(2/3))) + b*integrate((log(c) + log(x^n))/(e^2*x^6 + 2*d*e*x^3 + d^2), x)","F",0
327,0,0,0,0.000000," ","integrate(1/(e*x^3+d)^2/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(e x^{3} + d\right)}^{2} {\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((e*x^3 + d)^2*(b*log(c*x^n) + a)), x)","F",0
328,0,0,0,0.000000," ","integrate(1/(e*x^3+d)^2/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{x}{{\left(b^{2} e^{2} n \log\left(c\right) + a b e^{2} n\right)} x^{6} + b^{2} d^{2} n \log\left(c\right) + a b d^{2} n + 2 \, {\left(b^{2} d e n \log\left(c\right) + a b d e n\right)} x^{3} + {\left(b^{2} e^{2} n x^{6} + 2 \, b^{2} d e n x^{3} + b^{2} d^{2} n\right)} \log\left(x^{n}\right)} - \int \frac{5 \, e x^{3} - d}{{\left(b^{2} e^{3} n \log\left(c\right) + a b e^{3} n\right)} x^{9} + 3 \, {\left(b^{2} d e^{2} n \log\left(c\right) + a b d e^{2} n\right)} x^{6} + b^{2} d^{3} n \log\left(c\right) + a b d^{3} n + 3 \, {\left(b^{2} d^{2} e n \log\left(c\right) + a b d^{2} e n\right)} x^{3} + {\left(b^{2} e^{3} n x^{9} + 3 \, b^{2} d e^{2} n x^{6} + 3 \, b^{2} d^{2} e n x^{3} + b^{2} d^{3} n\right)} \log\left(x^{n}\right)}\,{d x}"," ",0,"-x/((b^2*e^2*n*log(c) + a*b*e^2*n)*x^6 + b^2*d^2*n*log(c) + a*b*d^2*n + 2*(b^2*d*e*n*log(c) + a*b*d*e*n)*x^3 + (b^2*e^2*n*x^6 + 2*b^2*d*e*n*x^3 + b^2*d^2*n)*log(x^n)) - integrate((5*e*x^3 - d)/((b^2*e^3*n*log(c) + a*b*e^3*n)*x^9 + 3*(b^2*d*e^2*n*log(c) + a*b*d*e^2*n)*x^6 + b^2*d^3*n*log(c) + a*b*d^3*n + 3*(b^2*d^2*e*n*log(c) + a*b*d^2*e*n)*x^3 + (b^2*e^3*n*x^9 + 3*b^2*d*e^2*n*x^6 + 3*b^2*d^2*e*n*x^3 + b^2*d^3*n)*log(x^n)), x)","F",0
329,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(d+e/x),x, algorithm=""maxima"")","\frac{1}{12} \, a {\left(\frac{12 \, e^{4} \log\left(d x + e\right)}{d^{5}} + \frac{3 \, d^{3} x^{4} - 4 \, d^{2} e x^{3} + 6 \, d e^{2} x^{2} - 12 \, e^{3} x}{d^{4}}\right)} + b \int \frac{x^{4} \log\left(c\right) + x^{4} \log\left(x^{n}\right)}{d x + e}\,{d x}"," ",0,"1/12*a*(12*e^4*log(d*x + e)/d^5 + (3*d^3*x^4 - 4*d^2*e*x^3 + 6*d*e^2*x^2 - 12*e^3*x)/d^4) + b*integrate((x^4*log(c) + x^4*log(x^n))/(d*x + e), x)","F",0
330,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(d+e/x),x, algorithm=""maxima"")","-\frac{1}{6} \, a {\left(\frac{6 \, e^{3} \log\left(d x + e\right)}{d^{4}} - \frac{2 \, d^{2} x^{3} - 3 \, d e x^{2} + 6 \, e^{2} x}{d^{3}}\right)} + b \int \frac{x^{3} \log\left(c\right) + x^{3} \log\left(x^{n}\right)}{d x + e}\,{d x}"," ",0,"-1/6*a*(6*e^3*log(d*x + e)/d^4 - (2*d^2*x^3 - 3*d*e*x^2 + 6*e^2*x)/d^3) + b*integrate((x^3*log(c) + x^3*log(x^n))/(d*x + e), x)","F",0
331,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(d+e/x),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{2 \, e^{2} \log\left(d x + e\right)}{d^{3}} + \frac{d x^{2} - 2 \, e x}{d^{2}}\right)} + b \int \frac{x^{2} \log\left(c\right) + x^{2} \log\left(x^{n}\right)}{d x + e}\,{d x}"," ",0,"1/2*a*(2*e^2*log(d*x + e)/d^3 + (d*x^2 - 2*e*x)/d^2) + b*integrate((x^2*log(c) + x^2*log(x^n))/(d*x + e), x)","F",0
332,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e/x),x, algorithm=""maxima"")","a {\left(\frac{x}{d} - \frac{e \log\left(d x + e\right)}{d^{2}}\right)} + b \int \frac{x \log\left(c\right) + x \log\left(x^{n}\right)}{d x + e}\,{d x}"," ",0,"a*(x/d - e*log(d*x + e)/d^2) + b*integrate((x*log(c) + x*log(x^n))/(d*x + e), x)","F",0
333,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e/x)/x,x, algorithm=""maxima"")","b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{d x + e}\,{d x} + \frac{a \log\left(d x + e\right)}{d}"," ",0,"b*integrate((log(c) + log(x^n))/(d*x + e), x) + a*log(d*x + e)/d","F",0
334,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e/x)/x^2,x, algorithm=""maxima"")","-a {\left(\frac{\log\left(d x + e\right)}{e} - \frac{\log\left(x\right)}{e}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{d x^{2} + e x}\,{d x}"," ",0,"-a*(log(d*x + e)/e - log(x)/e) + b*integrate((log(c) + log(x^n))/(d*x^2 + e*x), x)","F",0
335,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e/x)/x^3,x, algorithm=""maxima"")","a {\left(\frac{d \log\left(d x + e\right)}{e^{2}} - \frac{d \log\left(x\right)}{e^{2}} - \frac{1}{e x}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{d x^{3} + e x^{2}}\,{d x}"," ",0,"a*(d*log(d*x + e)/e^2 - d*log(x)/e^2 - 1/(e*x)) + b*integrate((log(c) + log(x^n))/(d*x^3 + e*x^2), x)","F",0
336,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e/x)/x^4,x, algorithm=""maxima"")","-\frac{1}{2} \, a {\left(\frac{2 \, d^{2} \log\left(d x + e\right)}{e^{3}} - \frac{2 \, d^{2} \log\left(x\right)}{e^{3}} - \frac{2 \, d x - e}{e^{2} x^{2}}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{d x^{4} + e x^{3}}\,{d x}"," ",0,"-1/2*a*(2*d^2*log(d*x + e)/e^3 - 2*d^2*log(x)/e^3 - (2*d*x - e)/(e^2*x^2)) + b*integrate((log(c) + log(x^n))/(d*x^4 + e*x^3), x)","F",0
337,1,210,0,0.869883," ","integrate(x^3*(a+b*log(c*x))/(d+e/x),x, algorithm=""maxima"")","\frac{{\left(\log\left(\frac{d x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{d x}{e}\right)\right)} b e^{4}}{d^{5}} + \frac{9 \, {\left(4 \, a d^{3} + {\left(4 \, d^{3} \log\left(c\right) - d^{3}\right)} b\right)} x^{4} - 16 \, {\left(3 \, a d^{2} e + {\left(3 \, d^{2} e \log\left(c\right) - d^{2} e\right)} b\right)} x^{3} + 36 \, {\left(2 \, a d e^{2} + {\left(2 \, d e^{2} \log\left(c\right) - d e^{2}\right)} b\right)} x^{2} - 144 \, {\left(a e^{3} + {\left(e^{3} \log\left(c\right) - e^{3}\right)} b\right)} x + 12 \, {\left(3 \, b d^{3} x^{4} - 4 \, b d^{2} e x^{3} + 6 \, b d e^{2} x^{2} - 12 \, b e^{3} x\right)} \log\left(x\right)}{144 \, d^{4}} + \frac{{\left(b e^{4} \log\left(c\right) + a e^{4}\right)} \log\left(d x + e\right)}{d^{5}}"," ",0,"(log(d*x/e + 1)*log(x) + dilog(-d*x/e))*b*e^4/d^5 + 1/144*(9*(4*a*d^3 + (4*d^3*log(c) - d^3)*b)*x^4 - 16*(3*a*d^2*e + (3*d^2*e*log(c) - d^2*e)*b)*x^3 + 36*(2*a*d*e^2 + (2*d*e^2*log(c) - d*e^2)*b)*x^2 - 144*(a*e^3 + (e^3*log(c) - e^3)*b)*x + 12*(3*b*d^3*x^4 - 4*b*d^2*e*x^3 + 6*b*d*e^2*x^2 - 12*b*e^3*x)*log(x))/d^4 + (b*e^4*log(c) + a*e^4)*log(d*x + e)/d^5","A",0
338,1,164,0,0.935693," ","integrate(x^2*(a+b*log(c*x))/(d+e/x),x, algorithm=""maxima"")","-\frac{{\left(\log\left(\frac{d x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{d x}{e}\right)\right)} b e^{3}}{d^{4}} + \frac{4 \, {\left(3 \, a d^{2} + {\left(3 \, d^{2} \log\left(c\right) - d^{2}\right)} b\right)} x^{3} - 9 \, {\left(2 \, a d e + {\left(2 \, d e \log\left(c\right) - d e\right)} b\right)} x^{2} + 36 \, {\left(a e^{2} + {\left(e^{2} \log\left(c\right) - e^{2}\right)} b\right)} x + 6 \, {\left(2 \, b d^{2} x^{3} - 3 \, b d e x^{2} + 6 \, b e^{2} x\right)} \log\left(x\right)}{36 \, d^{3}} - \frac{{\left(b e^{3} \log\left(c\right) + a e^{3}\right)} \log\left(d x + e\right)}{d^{4}}"," ",0,"-(log(d*x/e + 1)*log(x) + dilog(-d*x/e))*b*e^3/d^4 + 1/36*(4*(3*a*d^2 + (3*d^2*log(c) - d^2)*b)*x^3 - 9*(2*a*d*e + (2*d*e*log(c) - d*e)*b)*x^2 + 36*(a*e^2 + (e^2*log(c) - e^2)*b)*x + 6*(2*b*d^2*x^3 - 3*b*d*e*x^2 + 6*b*e^2*x)*log(x))/d^3 - (b*e^3*log(c) + a*e^3)*log(d*x + e)/d^4","A",0
339,1,112,0,0.941726," ","integrate(x*(a+b*log(c*x))/(d+e/x),x, algorithm=""maxima"")","\frac{{\left(\log\left(\frac{d x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{d x}{e}\right)\right)} b e^{2}}{d^{3}} + \frac{{\left({\left(2 \, d \log\left(c\right) - d\right)} b + 2 \, a d\right)} x^{2} - 4 \, {\left({\left(e \log\left(c\right) - e\right)} b + a e\right)} x + 2 \, {\left(b d x^{2} - 2 \, b e x\right)} \log\left(x\right)}{4 \, d^{2}} + \frac{{\left(b e^{2} \log\left(c\right) + a e^{2}\right)} \log\left(d x + e\right)}{d^{3}}"," ",0,"(log(d*x/e + 1)*log(x) + dilog(-d*x/e))*b*e^2/d^3 + 1/4*(((2*d*log(c) - d)*b + 2*a*d)*x^2 - 4*((e*log(c) - e)*b + a*e)*x + 2*(b*d*x^2 - 2*b*e*x)*log(x))/d^2 + (b*e^2*log(c) + a*e^2)*log(d*x + e)/d^3","A",0
340,1,69,0,0.886967," ","integrate((a+b*log(c*x))/(d+e/x),x, algorithm=""maxima"")","-\frac{{\left(\log\left(\frac{d x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{d x}{e}\right)\right)} b e}{d^{2}} + \frac{b x \log\left(x\right) + {\left(b {\left(\log\left(c\right) - 1\right)} + a\right)} x}{d} - \frac{{\left(b e \log\left(c\right) + a e\right)} \log\left(d x + e\right)}{d^{2}}"," ",0,"-(log(d*x/e + 1)*log(x) + dilog(-d*x/e))*b*e/d^2 + (b*x*log(x) + (b*(log(c) - 1) + a)*x)/d - (b*e*log(c) + a*e)*log(d*x + e)/d^2","A",0
341,1,43,0,0.848031," ","integrate((a+b*log(c*x))/(d+e/x)/x,x, algorithm=""maxima"")","\frac{{\left(\log\left(\frac{d x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{d x}{e}\right)\right)} b}{d} + \frac{{\left(b \log\left(c\right) + a\right)} \log\left(d x + e\right)}{d}"," ",0,"(log(d*x/e + 1)*log(x) + dilog(-d*x/e))*b/d + (b*log(c) + a)*log(d*x + e)/d","A",0
342,1,67,0,0.852340," ","integrate((a+b*log(c*x))/(d+e/x)/x^2,x, algorithm=""maxima"")","\frac{b \log\left(x\right)^{2}}{2 \, e} - \frac{{\left(\log\left(\frac{d x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{d x}{e}\right)\right)} b}{e} - \frac{{\left(b \log\left(c\right) + a\right)} \log\left(d x + e\right)}{e} + \frac{{\left(b \log\left(c\right) + a\right)} \log\left(x\right)}{e}"," ",0,"1/2*b*log(x)^2/e - (log(d*x/e + 1)*log(x) + dilog(-d*x/e))*b/e - (b*log(c) + a)*log(d*x + e)/e + (b*log(c) + a)*log(x)/e","A",0
343,1,96,0,0.933872," ","integrate((a+b*log(c*x))/(d+e/x)/x^3,x, algorithm=""maxima"")","\frac{{\left(\log\left(\frac{d x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{d x}{e}\right)\right)} b d}{e^{2}} + \frac{{\left(b d \log\left(c\right) + a d\right)} \log\left(d x + e\right)}{e^{2}} - \frac{b d x \log\left(x\right)^{2} + 2 \, {\left(e \log\left(c\right) + e\right)} b + 2 \, a e + 2 \, {\left(b e + {\left(b d \log\left(c\right) + a d\right)} x\right)} \log\left(x\right)}{2 \, e^{2} x}"," ",0,"(log(d*x/e + 1)*log(x) + dilog(-d*x/e))*b*d/e^2 + (b*d*log(c) + a*d)*log(d*x + e)/e^2 - 1/2*(b*d*x*log(x)^2 + 2*(e*log(c) + e)*b + 2*a*e + 2*(b*e + (b*d*log(c) + a*d)*x)*log(x))/(e^2*x)","A",0
344,1,151,0,0.983732," ","integrate((a+b*log(c*x))/(d+e/x)/x^4,x, algorithm=""maxima"")","-\frac{{\left(\log\left(\frac{d x}{e} + 1\right) \log\left(x\right) + {\rm Li}_2\left(-\frac{d x}{e}\right)\right)} b d^{2}}{e^{3}} - \frac{{\left(b d^{2} \log\left(c\right) + a d^{2}\right)} \log\left(d x + e\right)}{e^{3}} + \frac{2 \, b d^{2} x^{2} \log\left(x\right)^{2} - 2 \, a e^{2} - {\left(2 \, e^{2} \log\left(c\right) + e^{2}\right)} b + 4 \, {\left(a d e + {\left(d e \log\left(c\right) + d e\right)} b\right)} x + 2 \, {\left(2 \, b d e x - b e^{2} + 2 \, {\left(b d^{2} \log\left(c\right) + a d^{2}\right)} x^{2}\right)} \log\left(x\right)}{4 \, e^{3} x^{2}}"," ",0,"-(log(d*x/e + 1)*log(x) + dilog(-d*x/e))*b*d^2/e^3 - (b*d^2*log(c) + a*d^2)*log(d*x + e)/e^3 + 1/4*(2*b*d^2*x^2*log(x)^2 - 2*a*e^2 - (2*e^2*log(c) + e^2)*b + 4*(a*d*e + (d*e*log(c) + d*e)*b)*x + 2*(2*b*d*e*x - b*e^2 + 2*(b*d^2*log(c) + a*d^2)*x^2)*log(x))/(e^3*x^2)","A",0
345,1,52,0,1.561944," ","integrate(x^(-1+n)*log(e*x^n)/(1-e*x^n),x, algorithm=""maxima"")","-\frac{\log\left(e\right) \log\left(\frac{e x^{n} - 1}{e}\right)}{e n} - \frac{\log\left(-e x^{n} + 1\right) \log\left(x^{n}\right) + {\rm Li}_2\left(e x^{n}\right)}{e n}"," ",0,"-log(e)*log((e*x^n - 1)/e)/(e*n) - (log(-e*x^n + 1)*log(x^n) + dilog(e*x^n))/(e*n)","B",0
346,1,45,0,1.642333," ","integrate(x^(-1+n)*log(x^n/d)/(d-x^n),x, algorithm=""maxima"")","\frac{\log\left(d\right) \log\left(-d + x^{n}\right)}{n} - \frac{\log\left(x^{n}\right) \log\left(-\frac{x^{n}}{d} + 1\right) + {\rm Li}_2\left(\frac{x^{n}}{d}\right)}{n}"," ",0,"log(d)*log(-d + x^n)/n - (log(x^n)*log(-x^n/d + 1) + dilog(x^n/d))/n","B",0
347,1,64,0,1.673689," ","integrate(x^(-1+n)*log(-e*x^n/d)/(d+e*x^n),x, algorithm=""maxima"")","-\frac{{\left(\log\left(d\right) - \log\left(e\right)\right)} \log\left(\frac{e x^{n} + d}{e}\right)}{e n} + \frac{\log\left(\frac{e x^{n}}{d} + 1\right) \log\left(-x^{n}\right) + {\rm Li}_2\left(-\frac{e x^{n}}{d}\right)}{e n}"," ",0,"-(log(d) - log(e))*log((e*x^n + d)/e)/(e*n) + (log(e*x^n/d + 1)*log(-x^n) + dilog(-e*x^n/d))/(e*n)","B",0
348,1,72,0,0.753091," ","integrate(log(a/x)/(a*x-x^2),x, algorithm=""maxima"")","-{\left(\frac{\log\left(-a + x\right)}{a} - \frac{\log\left(x\right)}{a}\right)} \log\left(\frac{a}{x}\right) - \frac{2 \, \log\left(-a + x\right) \log\left(x\right) - \log\left(x\right)^{2}}{2 \, a} + \frac{\log\left(x\right) \log\left(-\frac{x}{a} + 1\right) + {\rm Li}_2\left(\frac{x}{a}\right)}{a}"," ",0,"-(log(-a + x)/a - log(x)/a)*log(a/x) - 1/2*(2*log(-a + x)*log(x) - log(x)^2)/a + (log(x)*log(-x/a + 1) + dilog(x/a))/a","B",0
349,1,81,0,0.612227," ","integrate(log(a/x^2)/(-x^3+a*x),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\frac{\log\left(x^{2} - a\right)}{a} - \frac{2 \, \log\left(x\right)}{a}\right)} \log\left(\frac{a}{x^{2}}\right) - \frac{\log\left(x^{2} - a\right) \log\left(x\right) - \log\left(x\right)^{2}}{a} + \frac{2 \, \log\left(x\right) \log\left(-\frac{x^{2}}{a} + 1\right) + {\rm Li}_2\left(\frac{x^{2}}{a}\right)}{2 \, a}"," ",0,"-1/2*(log(x^2 - a)/a - 2*log(x)/a)*log(a/x^2) - (log(x^2 - a)*log(x) - log(x)^2)/a + 1/2*(2*log(x)*log(-x^2/a + 1) + dilog(x^2/a))/a","B",0
350,0,0,0,0.000000," ","integrate(log(a*x^(1-n))/(a*x-x^n),x, algorithm=""maxima"")","\int \frac{\log\left(a x^{-n + 1}\right)}{a x - x^{n}}\,{d x}"," ",0,"integrate(log(a*x^(-n + 1))/(a*x - x^n), x)","F",0
351,1,253,0,0.745576," ","integrate((f*x)^(-1+m)*(d+e*x^m)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{b e^{3} f^{m - 1} x^{4 \, m} \log\left(c x^{n}\right)}{4 \, m} + \frac{b d e^{2} f^{m - 1} x^{3 \, m} \log\left(c x^{n}\right)}{m} + \frac{3 \, b d^{2} e f^{m - 1} x^{2 \, m} \log\left(c x^{n}\right)}{2 \, m} + \frac{a e^{3} f^{m - 1} x^{4 \, m}}{4 \, m} - \frac{b e^{3} f^{m - 1} n x^{4 \, m}}{16 \, m^{2}} + \frac{a d e^{2} f^{m - 1} x^{3 \, m}}{m} - \frac{b d e^{2} f^{m - 1} n x^{3 \, m}}{3 \, m^{2}} + \frac{3 \, a d^{2} e f^{m - 1} x^{2 \, m}}{2 \, m} - \frac{3 \, b d^{2} e f^{m - 1} n x^{2 \, m}}{4 \, m^{2}} - \frac{b d^{3} f^{m - 1} n x^{m}}{m^{2}} + \frac{\left(f x\right)^{m} b d^{3} \log\left(c x^{n}\right)}{f m} + \frac{\left(f x\right)^{m} a d^{3}}{f m}"," ",0,"1/4*b*e^3*f^(m - 1)*x^(4*m)*log(c*x^n)/m + b*d*e^2*f^(m - 1)*x^(3*m)*log(c*x^n)/m + 3/2*b*d^2*e*f^(m - 1)*x^(2*m)*log(c*x^n)/m + 1/4*a*e^3*f^(m - 1)*x^(4*m)/m - 1/16*b*e^3*f^(m - 1)*n*x^(4*m)/m^2 + a*d*e^2*f^(m - 1)*x^(3*m)/m - 1/3*b*d*e^2*f^(m - 1)*n*x^(3*m)/m^2 + 3/2*a*d^2*e*f^(m - 1)*x^(2*m)/m - 3/4*b*d^2*e*f^(m - 1)*n*x^(2*m)/m^2 - b*d^3*f^(m - 1)*n*x^m/m^2 + (f*x)^m*b*d^3*log(c*x^n)/(f*m) + (f*x)^m*a*d^3/(f*m)","A",0
352,1,180,0,0.699698," ","integrate((f*x)^(-1+m)*(d+e*x^m)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{b e^{2} f^{m - 1} x^{3 \, m} \log\left(c x^{n}\right)}{3 \, m} + \frac{b d e f^{m - 1} x^{2 \, m} \log\left(c x^{n}\right)}{m} + \frac{a e^{2} f^{m - 1} x^{3 \, m}}{3 \, m} - \frac{b e^{2} f^{m - 1} n x^{3 \, m}}{9 \, m^{2}} + \frac{a d e f^{m - 1} x^{2 \, m}}{m} - \frac{b d e f^{m - 1} n x^{2 \, m}}{2 \, m^{2}} - \frac{b d^{2} f^{m - 1} n x^{m}}{m^{2}} + \frac{\left(f x\right)^{m} b d^{2} \log\left(c x^{n}\right)}{f m} + \frac{\left(f x\right)^{m} a d^{2}}{f m}"," ",0,"1/3*b*e^2*f^(m - 1)*x^(3*m)*log(c*x^n)/m + b*d*e*f^(m - 1)*x^(2*m)*log(c*x^n)/m + 1/3*a*e^2*f^(m - 1)*x^(3*m)/m - 1/9*b*e^2*f^(m - 1)*n*x^(3*m)/m^2 + a*d*e*f^(m - 1)*x^(2*m)/m - 1/2*b*d*e*f^(m - 1)*n*x^(2*m)/m^2 - b*d^2*f^(m - 1)*n*x^m/m^2 + (f*x)^m*b*d^2*log(c*x^n)/(f*m) + (f*x)^m*a*d^2/(f*m)","A",0
353,1,109,0,0.734587," ","integrate((f*x)^(-1+m)*(d+e*x^m)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{b e f^{m - 1} x^{2 \, m} \log\left(c x^{n}\right)}{2 \, m} + \frac{a e f^{m - 1} x^{2 \, m}}{2 \, m} - \frac{b e f^{m - 1} n x^{2 \, m}}{4 \, m^{2}} - \frac{b d f^{m - 1} n x^{m}}{m^{2}} + \frac{\left(f x\right)^{m} b d \log\left(c x^{n}\right)}{f m} + \frac{\left(f x\right)^{m} a d}{f m}"," ",0,"1/2*b*e*f^(m - 1)*x^(2*m)*log(c*x^n)/m + 1/2*a*e*f^(m - 1)*x^(2*m)/m - 1/4*b*e*f^(m - 1)*n*x^(2*m)/m^2 - b*d*f^(m - 1)*n*x^m/m^2 + (f*x)^m*b*d*log(c*x^n)/(f*m) + (f*x)^m*a*d/(f*m)","A",0
354,1,48,0,0.716678," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{b f^{m - 1} n x^{m}}{m^{2}} + \frac{\left(f x\right)^{m} b \log\left(c x^{n}\right)}{f m} + \frac{\left(f x\right)^{m} a}{f m}"," ",0,"-b*f^(m - 1)*n*x^m/m^2 + (f*x)^m*b*log(c*x^n)/(f*m) + (f*x)^m*a/(f*m)","A",0
355,0,0,0,0.000000," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))/(d+e*x^m),x, algorithm=""maxima"")","b \int \frac{f^{m} x^{m} \log\left(c\right) + f^{m} x^{m} \log\left(x^{n}\right)}{e f x x^{m} + d f x}\,{d x} + \frac{a f^{m - 1} \log\left(\frac{e x^{m} + d}{e}\right)}{e m}"," ",0,"b*integrate((f^m*x^m*log(c) + f^m*x^m*log(x^n))/(e*f*x*x^m + d*f*x), x) + a*f^(m - 1)*log((e*x^m + d)/e)/(e*m)","F",0
356,1,97,0,0.716372," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))/(d+e*x^m)^2,x, algorithm=""maxima"")","b f^{m} n {\left(\frac{\log\left(x\right)}{d e f m} - \frac{\log\left(e x^{m} + d\right)}{d e f m^{2}}\right)} - \frac{b f^{m} \log\left(c x^{n}\right)}{e^{2} f m x^{m} + d e f m} - \frac{a f^{m}}{e^{2} f m x^{m} + d e f m}"," ",0,"b*f^m*n*(log(x)/(d*e*f*m) - log(e*x^m + d)/(d*e*f*m^2)) - b*f^m*log(c*x^n)/(e^2*f*m*x^m + d*e*f*m) - a*f^m/(e^2*f*m*x^m + d*e*f*m)","A",0
357,1,152,0,0.769761," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))/(d+e*x^m)^3,x, algorithm=""maxima"")","\frac{1}{2} \, b f^{m} n {\left(\frac{1}{{\left(d e^{2} f m x^{m} + d^{2} e f m\right)} m} + \frac{\log\left(x\right)}{d^{2} e f m} - \frac{\log\left(e x^{m} + d\right)}{d^{2} e f m^{2}}\right)} - \frac{b f^{m} \log\left(c x^{n}\right)}{2 \, {\left(e^{3} f m x^{2 \, m} + 2 \, d e^{2} f m x^{m} + d^{2} e f m\right)}} - \frac{a f^{m}}{2 \, {\left(e^{3} f m x^{2 \, m} + 2 \, d e^{2} f m x^{m} + d^{2} e f m\right)}}"," ",0,"1/2*b*f^m*n*(1/((d*e^2*f*m*x^m + d^2*e*f*m)*m) + log(x)/(d^2*e*f*m) - log(e*x^m + d)/(d^2*e*f*m^2)) - 1/2*b*f^m*log(c*x^n)/(e^3*f*m*x^(2*m) + 2*d*e^2*f*m*x^m + d^2*e*f*m) - 1/2*a*f^m/(e^3*f*m*x^(2*m) + 2*d*e^2*f*m*x^m + d^2*e*f*m)","A",0
358,1,210,0,0.814427," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))/(d+e*x^m)^4,x, algorithm=""maxima"")","\frac{1}{6} \, b f^{m} n {\left(\frac{2 \, e x^{m} + 3 \, d}{{\left(d^{2} e^{3} f m x^{2 \, m} + 2 \, d^{3} e^{2} f m x^{m} + d^{4} e f m\right)} m} + \frac{2 \, \log\left(x\right)}{d^{3} e f m} - \frac{2 \, \log\left(e x^{m} + d\right)}{d^{3} e f m^{2}}\right)} - \frac{b f^{m} \log\left(c x^{n}\right)}{3 \, {\left(e^{4} f m x^{3 \, m} + 3 \, d e^{3} f m x^{2 \, m} + 3 \, d^{2} e^{2} f m x^{m} + d^{3} e f m\right)}} - \frac{a f^{m}}{3 \, {\left(e^{4} f m x^{3 \, m} + 3 \, d e^{3} f m x^{2 \, m} + 3 \, d^{2} e^{2} f m x^{m} + d^{3} e f m\right)}}"," ",0,"1/6*b*f^m*n*((2*e*x^m + 3*d)/((d^2*e^3*f*m*x^(2*m) + 2*d^3*e^2*f*m*x^m + d^4*e*f*m)*m) + 2*log(x)/(d^3*e*f*m) - 2*log(e*x^m + d)/(d^3*e*f*m^2)) - 1/3*b*f^m*log(c*x^n)/(e^4*f*m*x^(3*m) + 3*d*e^3*f*m*x^(2*m) + 3*d^2*e^2*f*m*x^m + d^3*e*f*m) - 1/3*a*f^m/(e^4*f*m*x^(3*m) + 3*d*e^3*f*m*x^(2*m) + 3*d^2*e^2*f*m*x^m + d^3*e*f*m)","A",0
359,1,578,0,1.181283," ","integrate((f*x)^(-1+m)*(d+e*x^m)^3*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{b^{2} e^{3} f^{m - 1} x^{4 \, m} \log\left(c x^{n}\right)^{2}}{4 \, m} + \frac{b^{2} d e^{2} f^{m - 1} x^{3 \, m} \log\left(c x^{n}\right)^{2}}{m} + \frac{3 \, b^{2} d^{2} e f^{m - 1} x^{2 \, m} \log\left(c x^{n}\right)^{2}}{2 \, m} + \frac{a b e^{3} f^{m - 1} x^{4 \, m} \log\left(c x^{n}\right)}{2 \, m} + \frac{2 \, a b d e^{2} f^{m - 1} x^{3 \, m} \log\left(c x^{n}\right)}{m} + \frac{3 \, a b d^{2} e f^{m - 1} x^{2 \, m} \log\left(c x^{n}\right)}{m} - 2 \, {\left(\frac{f^{m - 1} n x^{m} \log\left(c x^{n}\right)}{m^{2}} - \frac{f^{m - 1} n^{2} x^{m}}{m^{3}}\right)} b^{2} d^{3} - \frac{3}{4} \, {\left(\frac{2 \, f^{m - 1} n x^{2 \, m} \log\left(c x^{n}\right)}{m^{2}} - \frac{f^{m - 1} n^{2} x^{2 \, m}}{m^{3}}\right)} b^{2} d^{2} e - \frac{2}{9} \, {\left(\frac{3 \, f^{m - 1} n x^{3 \, m} \log\left(c x^{n}\right)}{m^{2}} - \frac{f^{m - 1} n^{2} x^{3 \, m}}{m^{3}}\right)} b^{2} d e^{2} - \frac{1}{32} \, {\left(\frac{4 \, f^{m - 1} n x^{4 \, m} \log\left(c x^{n}\right)}{m^{2}} - \frac{f^{m - 1} n^{2} x^{4 \, m}}{m^{3}}\right)} b^{2} e^{3} + \frac{a^{2} e^{3} f^{m - 1} x^{4 \, m}}{4 \, m} - \frac{a b e^{3} f^{m - 1} n x^{4 \, m}}{8 \, m^{2}} + \frac{a^{2} d e^{2} f^{m - 1} x^{3 \, m}}{m} - \frac{2 \, a b d e^{2} f^{m - 1} n x^{3 \, m}}{3 \, m^{2}} + \frac{3 \, a^{2} d^{2} e f^{m - 1} x^{2 \, m}}{2 \, m} - \frac{3 \, a b d^{2} e f^{m - 1} n x^{2 \, m}}{2 \, m^{2}} - \frac{2 \, a b d^{3} f^{m - 1} n x^{m}}{m^{2}} + \frac{\left(f x\right)^{m} b^{2} d^{3} \log\left(c x^{n}\right)^{2}}{f m} + \frac{2 \, \left(f x\right)^{m} a b d^{3} \log\left(c x^{n}\right)}{f m} + \frac{\left(f x\right)^{m} a^{2} d^{3}}{f m}"," ",0,"1/4*b^2*e^3*f^(m - 1)*x^(4*m)*log(c*x^n)^2/m + b^2*d*e^2*f^(m - 1)*x^(3*m)*log(c*x^n)^2/m + 3/2*b^2*d^2*e*f^(m - 1)*x^(2*m)*log(c*x^n)^2/m + 1/2*a*b*e^3*f^(m - 1)*x^(4*m)*log(c*x^n)/m + 2*a*b*d*e^2*f^(m - 1)*x^(3*m)*log(c*x^n)/m + 3*a*b*d^2*e*f^(m - 1)*x^(2*m)*log(c*x^n)/m - 2*(f^(m - 1)*n*x^m*log(c*x^n)/m^2 - f^(m - 1)*n^2*x^m/m^3)*b^2*d^3 - 3/4*(2*f^(m - 1)*n*x^(2*m)*log(c*x^n)/m^2 - f^(m - 1)*n^2*x^(2*m)/m^3)*b^2*d^2*e - 2/9*(3*f^(m - 1)*n*x^(3*m)*log(c*x^n)/m^2 - f^(m - 1)*n^2*x^(3*m)/m^3)*b^2*d*e^2 - 1/32*(4*f^(m - 1)*n*x^(4*m)*log(c*x^n)/m^2 - f^(m - 1)*n^2*x^(4*m)/m^3)*b^2*e^3 + 1/4*a^2*e^3*f^(m - 1)*x^(4*m)/m - 1/8*a*b*e^3*f^(m - 1)*n*x^(4*m)/m^2 + a^2*d*e^2*f^(m - 1)*x^(3*m)/m - 2/3*a*b*d*e^2*f^(m - 1)*n*x^(3*m)/m^2 + 3/2*a^2*d^2*e*f^(m - 1)*x^(2*m)/m - 3/2*a*b*d^2*e*f^(m - 1)*n*x^(2*m)/m^2 - 2*a*b*d^3*f^(m - 1)*n*x^m/m^2 + (f*x)^m*b^2*d^3*log(c*x^n)^2/(f*m) + 2*(f*x)^m*a*b*d^3*log(c*x^n)/(f*m) + (f*x)^m*a^2*d^3/(f*m)","A",0
360,1,417,0,0.729627," ","integrate((f*x)^(-1+m)*(d+e*x^m)^2*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{b^{2} e^{2} f^{m - 1} x^{3 \, m} \log\left(c x^{n}\right)^{2}}{3 \, m} + \frac{b^{2} d e f^{m - 1} x^{2 \, m} \log\left(c x^{n}\right)^{2}}{m} + \frac{2 \, a b e^{2} f^{m - 1} x^{3 \, m} \log\left(c x^{n}\right)}{3 \, m} + \frac{2 \, a b d e f^{m - 1} x^{2 \, m} \log\left(c x^{n}\right)}{m} - 2 \, {\left(\frac{f^{m - 1} n x^{m} \log\left(c x^{n}\right)}{m^{2}} - \frac{f^{m - 1} n^{2} x^{m}}{m^{3}}\right)} b^{2} d^{2} - \frac{1}{2} \, {\left(\frac{2 \, f^{m - 1} n x^{2 \, m} \log\left(c x^{n}\right)}{m^{2}} - \frac{f^{m - 1} n^{2} x^{2 \, m}}{m^{3}}\right)} b^{2} d e - \frac{2}{27} \, {\left(\frac{3 \, f^{m - 1} n x^{3 \, m} \log\left(c x^{n}\right)}{m^{2}} - \frac{f^{m - 1} n^{2} x^{3 \, m}}{m^{3}}\right)} b^{2} e^{2} + \frac{a^{2} e^{2} f^{m - 1} x^{3 \, m}}{3 \, m} - \frac{2 \, a b e^{2} f^{m - 1} n x^{3 \, m}}{9 \, m^{2}} + \frac{a^{2} d e f^{m - 1} x^{2 \, m}}{m} - \frac{a b d e f^{m - 1} n x^{2 \, m}}{m^{2}} - \frac{2 \, a b d^{2} f^{m - 1} n x^{m}}{m^{2}} + \frac{\left(f x\right)^{m} b^{2} d^{2} \log\left(c x^{n}\right)^{2}}{f m} + \frac{2 \, \left(f x\right)^{m} a b d^{2} \log\left(c x^{n}\right)}{f m} + \frac{\left(f x\right)^{m} a^{2} d^{2}}{f m}"," ",0,"1/3*b^2*e^2*f^(m - 1)*x^(3*m)*log(c*x^n)^2/m + b^2*d*e*f^(m - 1)*x^(2*m)*log(c*x^n)^2/m + 2/3*a*b*e^2*f^(m - 1)*x^(3*m)*log(c*x^n)/m + 2*a*b*d*e*f^(m - 1)*x^(2*m)*log(c*x^n)/m - 2*(f^(m - 1)*n*x^m*log(c*x^n)/m^2 - f^(m - 1)*n^2*x^m/m^3)*b^2*d^2 - 1/2*(2*f^(m - 1)*n*x^(2*m)*log(c*x^n)/m^2 - f^(m - 1)*n^2*x^(2*m)/m^3)*b^2*d*e - 2/27*(3*f^(m - 1)*n*x^(3*m)*log(c*x^n)/m^2 - f^(m - 1)*n^2*x^(3*m)/m^3)*b^2*e^2 + 1/3*a^2*e^2*f^(m - 1)*x^(3*m)/m - 2/9*a*b*e^2*f^(m - 1)*n*x^(3*m)/m^2 + a^2*d*e*f^(m - 1)*x^(2*m)/m - a*b*d*e*f^(m - 1)*n*x^(2*m)/m^2 - 2*a*b*d^2*f^(m - 1)*n*x^m/m^2 + (f*x)^m*b^2*d^2*log(c*x^n)^2/(f*m) + 2*(f*x)^m*a*b*d^2*log(c*x^n)/(f*m) + (f*x)^m*a^2*d^2/(f*m)","A",0
361,1,257,0,1.143425," ","integrate((f*x)^(-1+m)*(d+e*x^m)*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{b^{2} e f^{m - 1} x^{2 \, m} \log\left(c x^{n}\right)^{2}}{2 \, m} + \frac{a b e f^{m - 1} x^{2 \, m} \log\left(c x^{n}\right)}{m} - 2 \, {\left(\frac{f^{m - 1} n x^{m} \log\left(c x^{n}\right)}{m^{2}} - \frac{f^{m - 1} n^{2} x^{m}}{m^{3}}\right)} b^{2} d - \frac{1}{4} \, {\left(\frac{2 \, f^{m - 1} n x^{2 \, m} \log\left(c x^{n}\right)}{m^{2}} - \frac{f^{m - 1} n^{2} x^{2 \, m}}{m^{3}}\right)} b^{2} e + \frac{a^{2} e f^{m - 1} x^{2 \, m}}{2 \, m} - \frac{a b e f^{m - 1} n x^{2 \, m}}{2 \, m^{2}} - \frac{2 \, a b d f^{m - 1} n x^{m}}{m^{2}} + \frac{\left(f x\right)^{m} b^{2} d \log\left(c x^{n}\right)^{2}}{f m} + \frac{2 \, \left(f x\right)^{m} a b d \log\left(c x^{n}\right)}{f m} + \frac{\left(f x\right)^{m} a^{2} d}{f m}"," ",0,"1/2*b^2*e*f^(m - 1)*x^(2*m)*log(c*x^n)^2/m + a*b*e*f^(m - 1)*x^(2*m)*log(c*x^n)/m - 2*(f^(m - 1)*n*x^m*log(c*x^n)/m^2 - f^(m - 1)*n^2*x^m/m^3)*b^2*d - 1/4*(2*f^(m - 1)*n*x^(2*m)*log(c*x^n)/m^2 - f^(m - 1)*n^2*x^(2*m)/m^3)*b^2*e + 1/2*a^2*e*f^(m - 1)*x^(2*m)/m - 1/2*a*b*e*f^(m - 1)*n*x^(2*m)/m^2 - 2*a*b*d*f^(m - 1)*n*x^m/m^2 + (f*x)^m*b^2*d*log(c*x^n)^2/(f*m) + 2*(f*x)^m*a*b*d*log(c*x^n)/(f*m) + (f*x)^m*a^2*d/(f*m)","A",0
362,1,117,0,1.067877," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-2 \, {\left(\frac{f^{m - 1} n x^{m} \log\left(c x^{n}\right)}{m^{2}} - \frac{f^{m - 1} n^{2} x^{m}}{m^{3}}\right)} b^{2} - \frac{2 \, a b f^{m - 1} n x^{m}}{m^{2}} + \frac{\left(f x\right)^{m} b^{2} \log\left(c x^{n}\right)^{2}}{f m} + \frac{2 \, \left(f x\right)^{m} a b \log\left(c x^{n}\right)}{f m} + \frac{\left(f x\right)^{m} a^{2}}{f m}"," ",0,"-2*(f^(m - 1)*n*x^m*log(c*x^n)/m^2 - f^(m - 1)*n^2*x^m/m^3)*b^2 - 2*a*b*f^(m - 1)*n*x^m/m^2 + (f*x)^m*b^2*log(c*x^n)^2/(f*m) + 2*(f*x)^m*a*b*log(c*x^n)/(f*m) + (f*x)^m*a^2/(f*m)","A",0
363,0,0,0,0.000000," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2/(d+e*x^m),x, algorithm=""maxima"")","\frac{a^{2} f^{m - 1} \log\left(\frac{e x^{m} + d}{e}\right)}{e m} + \int \frac{b^{2} f^{m} x^{m} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{2} f^{m} \log\left(c\right) + a b f^{m}\right)} x^{m} \log\left(x^{n}\right) + {\left(b^{2} f^{m} \log\left(c\right)^{2} + 2 \, a b f^{m} \log\left(c\right)\right)} x^{m}}{e f x x^{m} + d f x}\,{d x}"," ",0,"a^2*f^(m - 1)*log((e*x^m + d)/e)/(e*m) + integrate((b^2*f^m*x^m*log(x^n)^2 + 2*(b^2*f^m*log(c) + a*b*f^m)*x^m*log(x^n) + (b^2*f^m*log(c)^2 + 2*a*b*f^m*log(c))*x^m)/(e*f*x*x^m + d*f*x), x)","F",0
364,0,0,0,0.000000," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2/(d+e*x^m)^2,x, algorithm=""maxima"")","2 \, a b f^{m} n {\left(\frac{\log\left(x\right)}{d e f m} - \frac{\log\left(e x^{m} + d\right)}{d e f m^{2}}\right)} - {\left(\frac{f^{m} \log\left(x^{n}\right)^{2}}{e^{2} f m x^{m} + d e f m} - \int \frac{e f^{m} m x^{m} \log\left(c\right)^{2} + 2 \, {\left(d f^{m} n + {\left(e f^{m} m \log\left(c\right) + e f^{m} n\right)} x^{m}\right)} \log\left(x^{n}\right)}{e^{3} f m x x^{2 \, m} + 2 \, d e^{2} f m x x^{m} + d^{2} e f m x}\,{d x}\right)} b^{2} - \frac{2 \, a b f^{m} \log\left(c x^{n}\right)}{e^{2} f m x^{m} + d e f m} - \frac{a^{2} f^{m}}{e^{2} f m x^{m} + d e f m}"," ",0,"2*a*b*f^m*n*(log(x)/(d*e*f*m) - log(e*x^m + d)/(d*e*f*m^2)) - (f^m*log(x^n)^2/(e^2*f*m*x^m + d*e*f*m) - integrate((e*f^m*m*x^m*log(c)^2 + 2*(d*f^m*n + (e*f^m*m*log(c) + e*f^m*n)*x^m)*log(x^n))/(e^3*f*m*x*x^(2*m) + 2*d*e^2*f*m*x*x^m + d^2*e*f*m*x), x))*b^2 - 2*a*b*f^m*log(c*x^n)/(e^2*f*m*x^m + d*e*f*m) - a^2*f^m/(e^2*f*m*x^m + d*e*f*m)","F",0
365,0,0,0,0.000000," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2/(d+e*x^m)^3,x, algorithm=""maxima"")","a b f^{m} n {\left(\frac{1}{{\left(d e^{2} f m x^{m} + d^{2} e f m\right)} m} + \frac{\log\left(x\right)}{d^{2} e f m} - \frac{\log\left(e x^{m} + d\right)}{d^{2} e f m^{2}}\right)} - \frac{1}{2} \, {\left(\frac{f^{m} \log\left(x^{n}\right)^{2}}{e^{3} f m x^{2 \, m} + 2 \, d e^{2} f m x^{m} + d^{2} e f m} - 2 \, \int \frac{e f^{m} m x^{m} \log\left(c\right)^{2} + {\left(d f^{m} n + {\left(2 \, e f^{m} m \log\left(c\right) + e f^{m} n\right)} x^{m}\right)} \log\left(x^{n}\right)}{e^{4} f m x x^{3 \, m} + 3 \, d e^{3} f m x x^{2 \, m} + 3 \, d^{2} e^{2} f m x x^{m} + d^{3} e f m x}\,{d x}\right)} b^{2} - \frac{a b f^{m} \log\left(c x^{n}\right)}{e^{3} f m x^{2 \, m} + 2 \, d e^{2} f m x^{m} + d^{2} e f m} - \frac{a^{2} f^{m}}{2 \, {\left(e^{3} f m x^{2 \, m} + 2 \, d e^{2} f m x^{m} + d^{2} e f m\right)}}"," ",0,"a*b*f^m*n*(1/((d*e^2*f*m*x^m + d^2*e*f*m)*m) + log(x)/(d^2*e*f*m) - log(e*x^m + d)/(d^2*e*f*m^2)) - 1/2*(f^m*log(x^n)^2/(e^3*f*m*x^(2*m) + 2*d*e^2*f*m*x^m + d^2*e*f*m) - 2*integrate((e*f^m*m*x^m*log(c)^2 + (d*f^m*n + (2*e*f^m*m*log(c) + e*f^m*n)*x^m)*log(x^n))/(e^4*f*m*x*x^(3*m) + 3*d*e^3*f*m*x*x^(2*m) + 3*d^2*e^2*f*m*x*x^m + d^3*e*f*m*x), x))*b^2 - a*b*f^m*log(c*x^n)/(e^3*f*m*x^(2*m) + 2*d*e^2*f*m*x^m + d^2*e*f*m) - 1/2*a^2*f^m/(e^3*f*m*x^(2*m) + 2*d*e^2*f*m*x^m + d^2*e*f*m)","F",0
366,0,0,0,0.000000," ","integrate((f*x)^(-1+m)*(a+b*log(c*x^n))^2/(d+e*x^m)^4,x, algorithm=""maxima"")","\frac{1}{3} \, a b f^{m} n {\left(\frac{2 \, e x^{m} + 3 \, d}{{\left(d^{2} e^{3} f m x^{2 \, m} + 2 \, d^{3} e^{2} f m x^{m} + d^{4} e f m\right)} m} + \frac{2 \, \log\left(x\right)}{d^{3} e f m} - \frac{2 \, \log\left(e x^{m} + d\right)}{d^{3} e f m^{2}}\right)} - \frac{1}{3} \, {\left(\frac{f^{m} \log\left(x^{n}\right)^{2}}{e^{4} f m x^{3 \, m} + 3 \, d e^{3} f m x^{2 \, m} + 3 \, d^{2} e^{2} f m x^{m} + d^{3} e f m} - 3 \, \int \frac{3 \, e f^{m} m x^{m} \log\left(c\right)^{2} + 2 \, {\left(d f^{m} n + {\left(3 \, e f^{m} m \log\left(c\right) + e f^{m} n\right)} x^{m}\right)} \log\left(x^{n}\right)}{3 \, {\left(e^{5} f m x x^{4 \, m} + 4 \, d e^{4} f m x x^{3 \, m} + 6 \, d^{2} e^{3} f m x x^{2 \, m} + 4 \, d^{3} e^{2} f m x x^{m} + d^{4} e f m x\right)}}\,{d x}\right)} b^{2} - \frac{2 \, a b f^{m} \log\left(c x^{n}\right)}{3 \, {\left(e^{4} f m x^{3 \, m} + 3 \, d e^{3} f m x^{2 \, m} + 3 \, d^{2} e^{2} f m x^{m} + d^{3} e f m\right)}} - \frac{a^{2} f^{m}}{3 \, {\left(e^{4} f m x^{3 \, m} + 3 \, d e^{3} f m x^{2 \, m} + 3 \, d^{2} e^{2} f m x^{m} + d^{3} e f m\right)}}"," ",0,"1/3*a*b*f^m*n*((2*e*x^m + 3*d)/((d^2*e^3*f*m*x^(2*m) + 2*d^3*e^2*f*m*x^m + d^4*e*f*m)*m) + 2*log(x)/(d^3*e*f*m) - 2*log(e*x^m + d)/(d^3*e*f*m^2)) - 1/3*(f^m*log(x^n)^2/(e^4*f*m*x^(3*m) + 3*d*e^3*f*m*x^(2*m) + 3*d^2*e^2*f*m*x^m + d^3*e*f*m) - 3*integrate(1/3*(3*e*f^m*m*x^m*log(c)^2 + 2*(d*f^m*n + (3*e*f^m*m*log(c) + e*f^m*n)*x^m)*log(x^n))/(e^5*f*m*x*x^(4*m) + 4*d*e^4*f*m*x*x^(3*m) + 6*d^2*e^3*f*m*x*x^(2*m) + 4*d^3*e^2*f*m*x*x^m + d^4*e*f*m*x), x))*b^2 - 2/3*a*b*f^m*log(c*x^n)/(e^4*f*m*x^(3*m) + 3*d*e^3*f*m*x^(2*m) + 3*d^2*e^2*f*m*x^m + d^3*e*f*m) - 1/3*a^2*f^m/(e^4*f*m*x^(3*m) + 3*d*e^3*f*m*x^(2*m) + 3*d^2*e^2*f*m*x^m + d^3*e*f*m)","F",0
367,1,76,0,0.963056," ","integrate(x^5*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{36} \, b d n x^{6} + \frac{1}{6} \, b d x^{6} \log\left(c x^{n}\right) + \frac{1}{6} \, a d x^{6} + \frac{b e x^{r + 6} \log\left(c x^{n}\right)}{r + 6} - \frac{b e n x^{r + 6}}{{\left(r + 6\right)}^{2}} + \frac{a e x^{r + 6}}{r + 6}"," ",0,"-1/36*b*d*n*x^6 + 1/6*b*d*x^6*log(c*x^n) + 1/6*a*d*x^6 + b*e*x^(r + 6)*log(c*x^n)/(r + 6) - b*e*n*x^(r + 6)/(r + 6)^2 + a*e*x^(r + 6)/(r + 6)","A",0
368,1,76,0,0.986982," ","integrate(x^3*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{16} \, b d n x^{4} + \frac{1}{4} \, b d x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a d x^{4} + \frac{b e x^{r + 4} \log\left(c x^{n}\right)}{r + 4} - \frac{b e n x^{r + 4}}{{\left(r + 4\right)}^{2}} + \frac{a e x^{r + 4}}{r + 4}"," ",0,"-1/16*b*d*n*x^4 + 1/4*b*d*x^4*log(c*x^n) + 1/4*a*d*x^4 + b*e*x^(r + 4)*log(c*x^n)/(r + 4) - b*e*n*x^(r + 4)/(r + 4)^2 + a*e*x^(r + 4)/(r + 4)","A",0
369,1,76,0,1.050491," ","integrate(x*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{4} \, b d n x^{2} + \frac{1}{2} \, b d x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a d x^{2} + \frac{b e x^{r + 2} \log\left(c x^{n}\right)}{r + 2} - \frac{b e n x^{r + 2}}{{\left(r + 2\right)}^{2}} + \frac{a e x^{r + 2}}{r + 2}"," ",0,"-1/4*b*d*n*x^2 + 1/2*b*d*x^2*log(c*x^n) + 1/2*a*d*x^2 + b*e*x^(r + 2)*log(c*x^n)/(r + 2) - b*e*n*x^(r + 2)/(r + 2)^2 + a*e*x^(r + 2)/(r + 2)","A",0
370,1,56,0,1.016643," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{b e x^{r} \log\left(c x^{n}\right)}{r} + \frac{b d \log\left(c x^{n}\right)^{2}}{2 \, n} + a d \log\left(x\right) - \frac{b e n x^{r}}{r^{2}} + \frac{a e x^{r}}{r}"," ",0,"b*e*x^r*log(c*x^n)/r + 1/2*b*d*log(c*x^n)^2/n + a*d*log(x) - b*e*n*x^r/r^2 + a*e*x^r/r","A",0
371,-2,0,0,0.000000," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^3,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(r-3>0)', see `assume?` for more details)Is r-3 equal to -1?","F(-2)",0
372,-2,0,0,0.000000," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^5,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(r-5>0)', see `assume?` for more details)Is r-5 equal to -1?","F(-2)",0
373,1,76,0,1.120193," ","integrate(x^4*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{25} \, b d n x^{5} + \frac{1}{5} \, b d x^{5} \log\left(c x^{n}\right) + \frac{1}{5} \, a d x^{5} + \frac{b e x^{r + 5} \log\left(c x^{n}\right)}{r + 5} - \frac{b e n x^{r + 5}}{{\left(r + 5\right)}^{2}} + \frac{a e x^{r + 5}}{r + 5}"," ",0,"-1/25*b*d*n*x^5 + 1/5*b*d*x^5*log(c*x^n) + 1/5*a*d*x^5 + b*e*x^(r + 5)*log(c*x^n)/(r + 5) - b*e*n*x^(r + 5)/(r + 5)^2 + a*e*x^(r + 5)/(r + 5)","A",0
374,1,76,0,0.995235," ","integrate(x^2*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{9} \, b d n x^{3} + \frac{1}{3} \, b d x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a d x^{3} + \frac{b e x^{r + 3} \log\left(c x^{n}\right)}{r + 3} - \frac{b e n x^{r + 3}}{{\left(r + 3\right)}^{2}} + \frac{a e x^{r + 3}}{r + 3}"," ",0,"-1/9*b*d*n*x^3 + 1/3*b*d*x^3*log(c*x^n) + 1/3*a*d*x^3 + b*e*x^(r + 3)*log(c*x^n)/(r + 3) - b*e*n*x^(r + 3)/(r + 3)^2 + a*e*x^(r + 3)/(r + 3)","A",0
375,1,68,0,0.960707," ","integrate((d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-b d n x + b d x \log\left(c x^{n}\right) + a d x + \frac{b e x^{r + 1} \log\left(c x^{n}\right)}{r + 1} - \frac{b e n x^{r + 1}}{{\left(r + 1\right)}^{2}} + \frac{a e x^{r + 1}}{r + 1}"," ",0,"-b*d*n*x + b*d*x*log(c*x^n) + a*d*x + b*e*x^(r + 1)*log(c*x^n)/(r + 1) - b*e*n*x^(r + 1)/(r + 1)^2 + a*e*x^(r + 1)/(r + 1)","A",0
376,-2,0,0,0.000000," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^2,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(r-2>0)', see `assume?` for more details)Is r-2 equal to -1?","F(-2)",0
377,-2,0,0,0.000000," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^4,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(r-4>0)', see `assume?` for more details)Is r-4 equal to -1?","F(-2)",0
378,-2,0,0,0.000000," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x^6,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(r-6>0)', see `assume?` for more details)Is r-6 equal to -1?","F(-2)",0
379,1,148,0,1.093028," ","integrate(x^5*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{36} \, b d^{2} n x^{6} + \frac{1}{6} \, b d^{2} x^{6} \log\left(c x^{n}\right) + \frac{1}{6} \, a d^{2} x^{6} + \frac{b e^{2} x^{2 \, r + 6} \log\left(c x^{n}\right)}{2 \, {\left(r + 3\right)}} + \frac{2 \, b d e x^{r + 6} \log\left(c x^{n}\right)}{r + 6} - \frac{b e^{2} n x^{2 \, r + 6}}{4 \, {\left(r + 3\right)}^{2}} + \frac{a e^{2} x^{2 \, r + 6}}{2 \, {\left(r + 3\right)}} - \frac{2 \, b d e n x^{r + 6}}{{\left(r + 6\right)}^{2}} + \frac{2 \, a d e x^{r + 6}}{r + 6}"," ",0,"-1/36*b*d^2*n*x^6 + 1/6*b*d^2*x^6*log(c*x^n) + 1/6*a*d^2*x^6 + 1/2*b*e^2*x^(2*r + 6)*log(c*x^n)/(r + 3) + 2*b*d*e*x^(r + 6)*log(c*x^n)/(r + 6) - 1/4*b*e^2*n*x^(2*r + 6)/(r + 3)^2 + 1/2*a*e^2*x^(2*r + 6)/(r + 3) - 2*b*d*e*n*x^(r + 6)/(r + 6)^2 + 2*a*d*e*x^(r + 6)/(r + 6)","A",0
380,1,148,0,1.004200," ","integrate(x^3*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{16} \, b d^{2} n x^{4} + \frac{1}{4} \, b d^{2} x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a d^{2} x^{4} + \frac{b e^{2} x^{2 \, r + 4} \log\left(c x^{n}\right)}{2 \, {\left(r + 2\right)}} + \frac{2 \, b d e x^{r + 4} \log\left(c x^{n}\right)}{r + 4} - \frac{b e^{2} n x^{2 \, r + 4}}{4 \, {\left(r + 2\right)}^{2}} + \frac{a e^{2} x^{2 \, r + 4}}{2 \, {\left(r + 2\right)}} - \frac{2 \, b d e n x^{r + 4}}{{\left(r + 4\right)}^{2}} + \frac{2 \, a d e x^{r + 4}}{r + 4}"," ",0,"-1/16*b*d^2*n*x^4 + 1/4*b*d^2*x^4*log(c*x^n) + 1/4*a*d^2*x^4 + 1/2*b*e^2*x^(2*r + 4)*log(c*x^n)/(r + 2) + 2*b*d*e*x^(r + 4)*log(c*x^n)/(r + 4) - 1/4*b*e^2*n*x^(2*r + 4)/(r + 2)^2 + 1/2*a*e^2*x^(2*r + 4)/(r + 2) - 2*b*d*e*n*x^(r + 4)/(r + 4)^2 + 2*a*d*e*x^(r + 4)/(r + 4)","A",0
381,1,148,0,1.003474," ","integrate(x*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{4} \, b d^{2} n x^{2} + \frac{1}{2} \, b d^{2} x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a d^{2} x^{2} + \frac{b e^{2} x^{2 \, r + 2} \log\left(c x^{n}\right)}{2 \, {\left(r + 1\right)}} + \frac{2 \, b d e x^{r + 2} \log\left(c x^{n}\right)}{r + 2} - \frac{b e^{2} n x^{2 \, r + 2}}{4 \, {\left(r + 1\right)}^{2}} + \frac{a e^{2} x^{2 \, r + 2}}{2 \, {\left(r + 1\right)}} - \frac{2 \, b d e n x^{r + 2}}{{\left(r + 2\right)}^{2}} + \frac{2 \, a d e x^{r + 2}}{r + 2}"," ",0,"-1/4*b*d^2*n*x^2 + 1/2*b*d^2*x^2*log(c*x^n) + 1/2*a*d^2*x^2 + 1/2*b*e^2*x^(2*r + 2)*log(c*x^n)/(r + 1) + 2*b*d*e*x^(r + 2)*log(c*x^n)/(r + 2) - 1/4*b*e^2*n*x^(2*r + 2)/(r + 1)^2 + 1/2*a*e^2*x^(2*r + 2)/(r + 1) - 2*b*d*e*n*x^(r + 2)/(r + 2)^2 + 2*a*d*e*x^(r + 2)/(r + 2)","A",0
382,1,114,0,0.991847," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{b e^{2} x^{2 \, r} \log\left(c x^{n}\right)}{2 \, r} + \frac{2 \, b d e x^{r} \log\left(c x^{n}\right)}{r} + \frac{b d^{2} \log\left(c x^{n}\right)^{2}}{2 \, n} + a d^{2} \log\left(x\right) - \frac{b e^{2} n x^{2 \, r}}{4 \, r^{2}} + \frac{a e^{2} x^{2 \, r}}{2 \, r} - \frac{2 \, b d e n x^{r}}{r^{2}} + \frac{2 \, a d e x^{r}}{r}"," ",0,"1/2*b*e^2*x^(2*r)*log(c*x^n)/r + 2*b*d*e*x^r*log(c*x^n)/r + 1/2*b*d^2*log(c*x^n)^2/n + a*d^2*log(x) - 1/4*b*e^2*n*x^(2*r)/r^2 + 1/2*a*e^2*x^(2*r)/r - 2*b*d*e*n*x^r/r^2 + 2*a*d*e*x^r/r","A",0
383,-2,0,0,0.000000," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^3,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(r-3>0)', see `assume?` for more details)Is r-3 equal to -1?","F(-2)",0
384,-2,0,0,0.000000," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^5,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(r-5>0)', see `assume?` for more details)Is r-5 equal to -1?","F(-2)",0
385,1,152,0,1.062721," ","integrate(x^4*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{25} \, b d^{2} n x^{5} + \frac{1}{5} \, b d^{2} x^{5} \log\left(c x^{n}\right) + \frac{1}{5} \, a d^{2} x^{5} + \frac{b e^{2} x^{2 \, r + 5} \log\left(c x^{n}\right)}{2 \, r + 5} + \frac{2 \, b d e x^{r + 5} \log\left(c x^{n}\right)}{r + 5} - \frac{b e^{2} n x^{2 \, r + 5}}{{\left(2 \, r + 5\right)}^{2}} + \frac{a e^{2} x^{2 \, r + 5}}{2 \, r + 5} - \frac{2 \, b d e n x^{r + 5}}{{\left(r + 5\right)}^{2}} + \frac{2 \, a d e x^{r + 5}}{r + 5}"," ",0,"-1/25*b*d^2*n*x^5 + 1/5*b*d^2*x^5*log(c*x^n) + 1/5*a*d^2*x^5 + b*e^2*x^(2*r + 5)*log(c*x^n)/(2*r + 5) + 2*b*d*e*x^(r + 5)*log(c*x^n)/(r + 5) - b*e^2*n*x^(2*r + 5)/(2*r + 5)^2 + a*e^2*x^(2*r + 5)/(2*r + 5) - 2*b*d*e*n*x^(r + 5)/(r + 5)^2 + 2*a*d*e*x^(r + 5)/(r + 5)","A",0
386,1,152,0,1.059174," ","integrate(x^2*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{9} \, b d^{2} n x^{3} + \frac{1}{3} \, b d^{2} x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a d^{2} x^{3} + \frac{b e^{2} x^{2 \, r + 3} \log\left(c x^{n}\right)}{2 \, r + 3} + \frac{2 \, b d e x^{r + 3} \log\left(c x^{n}\right)}{r + 3} - \frac{b e^{2} n x^{2 \, r + 3}}{{\left(2 \, r + 3\right)}^{2}} + \frac{a e^{2} x^{2 \, r + 3}}{2 \, r + 3} - \frac{2 \, b d e n x^{r + 3}}{{\left(r + 3\right)}^{2}} + \frac{2 \, a d e x^{r + 3}}{r + 3}"," ",0,"-1/9*b*d^2*n*x^3 + 1/3*b*d^2*x^3*log(c*x^n) + 1/3*a*d^2*x^3 + b*e^2*x^(2*r + 3)*log(c*x^n)/(2*r + 3) + 2*b*d*e*x^(r + 3)*log(c*x^n)/(r + 3) - b*e^2*n*x^(2*r + 3)/(2*r + 3)^2 + a*e^2*x^(2*r + 3)/(2*r + 3) - 2*b*d*e*n*x^(r + 3)/(r + 3)^2 + 2*a*d*e*x^(r + 3)/(r + 3)","A",0
387,1,144,0,1.022182," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-b d^{2} n x + b d^{2} x \log\left(c x^{n}\right) + a d^{2} x + \frac{b e^{2} x^{2 \, r + 1} \log\left(c x^{n}\right)}{2 \, r + 1} + \frac{2 \, b d e x^{r + 1} \log\left(c x^{n}\right)}{r + 1} - \frac{b e^{2} n x^{2 \, r + 1}}{{\left(2 \, r + 1\right)}^{2}} + \frac{a e^{2} x^{2 \, r + 1}}{2 \, r + 1} - \frac{2 \, b d e n x^{r + 1}}{{\left(r + 1\right)}^{2}} + \frac{2 \, a d e x^{r + 1}}{r + 1}"," ",0,"-b*d^2*n*x + b*d^2*x*log(c*x^n) + a*d^2*x + b*e^2*x^(2*r + 1)*log(c*x^n)/(2*r + 1) + 2*b*d*e*x^(r + 1)*log(c*x^n)/(r + 1) - b*e^2*n*x^(2*r + 1)/(2*r + 1)^2 + a*e^2*x^(2*r + 1)/(2*r + 1) - 2*b*d*e*n*x^(r + 1)/(r + 1)^2 + 2*a*d*e*x^(r + 1)/(r + 1)","A",0
388,-2,0,0,0.000000," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^2,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(r-2>0)', see `assume?` for more details)Is r-2 equal to -1?","F(-2)",0
389,-2,0,0,0.000000," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^4,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(r-4>0)', see `assume?` for more details)Is r-4 equal to -1?","F(-2)",0
390,-2,0,0,0.000000," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^6,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(r-6>0)', see `assume?` for more details)Is r-6 equal to -1?","F(-2)",0
391,-2,0,0,0.000000," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x^8,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(r-8>0)', see `assume?` for more details)Is r-8 equal to -1?","F(-2)",0
392,1,218,0,1.034450," ","integrate(x^5*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{36} \, b d^{3} n x^{6} + \frac{1}{6} \, b d^{3} x^{6} \log\left(c x^{n}\right) + \frac{1}{6} \, a d^{3} x^{6} + \frac{b e^{3} x^{3 \, r + 6} \log\left(c x^{n}\right)}{3 \, {\left(r + 2\right)}} + \frac{3 \, b d e^{2} x^{2 \, r + 6} \log\left(c x^{n}\right)}{2 \, {\left(r + 3\right)}} + \frac{3 \, b d^{2} e x^{r + 6} \log\left(c x^{n}\right)}{r + 6} - \frac{b e^{3} n x^{3 \, r + 6}}{9 \, {\left(r + 2\right)}^{2}} + \frac{a e^{3} x^{3 \, r + 6}}{3 \, {\left(r + 2\right)}} - \frac{3 \, b d e^{2} n x^{2 \, r + 6}}{4 \, {\left(r + 3\right)}^{2}} + \frac{3 \, a d e^{2} x^{2 \, r + 6}}{2 \, {\left(r + 3\right)}} - \frac{3 \, b d^{2} e n x^{r + 6}}{{\left(r + 6\right)}^{2}} + \frac{3 \, a d^{2} e x^{r + 6}}{r + 6}"," ",0,"-1/36*b*d^3*n*x^6 + 1/6*b*d^3*x^6*log(c*x^n) + 1/6*a*d^3*x^6 + 1/3*b*e^3*x^(3*r + 6)*log(c*x^n)/(r + 2) + 3/2*b*d*e^2*x^(2*r + 6)*log(c*x^n)/(r + 3) + 3*b*d^2*e*x^(r + 6)*log(c*x^n)/(r + 6) - 1/9*b*e^3*n*x^(3*r + 6)/(r + 2)^2 + 1/3*a*e^3*x^(3*r + 6)/(r + 2) - 3/4*b*d*e^2*n*x^(2*r + 6)/(r + 3)^2 + 3/2*a*d*e^2*x^(2*r + 6)/(r + 3) - 3*b*d^2*e*n*x^(r + 6)/(r + 6)^2 + 3*a*d^2*e*x^(r + 6)/(r + 6)","A",0
393,1,222,0,1.040064," ","integrate(x^3*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{16} \, b d^{3} n x^{4} + \frac{1}{4} \, b d^{3} x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a d^{3} x^{4} + \frac{b e^{3} x^{3 \, r + 4} \log\left(c x^{n}\right)}{3 \, r + 4} + \frac{3 \, b d e^{2} x^{2 \, r + 4} \log\left(c x^{n}\right)}{2 \, {\left(r + 2\right)}} + \frac{3 \, b d^{2} e x^{r + 4} \log\left(c x^{n}\right)}{r + 4} - \frac{b e^{3} n x^{3 \, r + 4}}{{\left(3 \, r + 4\right)}^{2}} + \frac{a e^{3} x^{3 \, r + 4}}{3 \, r + 4} - \frac{3 \, b d e^{2} n x^{2 \, r + 4}}{4 \, {\left(r + 2\right)}^{2}} + \frac{3 \, a d e^{2} x^{2 \, r + 4}}{2 \, {\left(r + 2\right)}} - \frac{3 \, b d^{2} e n x^{r + 4}}{{\left(r + 4\right)}^{2}} + \frac{3 \, a d^{2} e x^{r + 4}}{r + 4}"," ",0,"-1/16*b*d^3*n*x^4 + 1/4*b*d^3*x^4*log(c*x^n) + 1/4*a*d^3*x^4 + b*e^3*x^(3*r + 4)*log(c*x^n)/(3*r + 4) + 3/2*b*d*e^2*x^(2*r + 4)*log(c*x^n)/(r + 2) + 3*b*d^2*e*x^(r + 4)*log(c*x^n)/(r + 4) - b*e^3*n*x^(3*r + 4)/(3*r + 4)^2 + a*e^3*x^(3*r + 4)/(3*r + 4) - 3/4*b*d*e^2*n*x^(2*r + 4)/(r + 2)^2 + 3/2*a*d*e^2*x^(2*r + 4)/(r + 2) - 3*b*d^2*e*n*x^(r + 4)/(r + 4)^2 + 3*a*d^2*e*x^(r + 4)/(r + 4)","A",0
394,1,222,0,1.008812," ","integrate(x*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{4} \, b d^{3} n x^{2} + \frac{1}{2} \, b d^{3} x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a d^{3} x^{2} + \frac{b e^{3} x^{3 \, r + 2} \log\left(c x^{n}\right)}{3 \, r + 2} + \frac{3 \, b d e^{2} x^{2 \, r + 2} \log\left(c x^{n}\right)}{2 \, {\left(r + 1\right)}} + \frac{3 \, b d^{2} e x^{r + 2} \log\left(c x^{n}\right)}{r + 2} - \frac{b e^{3} n x^{3 \, r + 2}}{{\left(3 \, r + 2\right)}^{2}} + \frac{a e^{3} x^{3 \, r + 2}}{3 \, r + 2} - \frac{3 \, b d e^{2} n x^{2 \, r + 2}}{4 \, {\left(r + 1\right)}^{2}} + \frac{3 \, a d e^{2} x^{2 \, r + 2}}{2 \, {\left(r + 1\right)}} - \frac{3 \, b d^{2} e n x^{r + 2}}{{\left(r + 2\right)}^{2}} + \frac{3 \, a d^{2} e x^{r + 2}}{r + 2}"," ",0,"-1/4*b*d^3*n*x^2 + 1/2*b*d^3*x^2*log(c*x^n) + 1/2*a*d^3*x^2 + b*e^3*x^(3*r + 2)*log(c*x^n)/(3*r + 2) + 3/2*b*d*e^2*x^(2*r + 2)*log(c*x^n)/(r + 1) + 3*b*d^2*e*x^(r + 2)*log(c*x^n)/(r + 2) - b*e^3*n*x^(3*r + 2)/(3*r + 2)^2 + a*e^3*x^(3*r + 2)/(3*r + 2) - 3/4*b*d*e^2*n*x^(2*r + 2)/(r + 1)^2 + 3/2*a*d*e^2*x^(2*r + 2)/(r + 1) - 3*b*d^2*e*n*x^(r + 2)/(r + 2)^2 + 3*a*d^2*e*x^(r + 2)/(r + 2)","A",0
395,1,172,0,1.037736," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{b e^{3} x^{3 \, r} \log\left(c x^{n}\right)}{3 \, r} + \frac{3 \, b d e^{2} x^{2 \, r} \log\left(c x^{n}\right)}{2 \, r} + \frac{3 \, b d^{2} e x^{r} \log\left(c x^{n}\right)}{r} + \frac{b d^{3} \log\left(c x^{n}\right)^{2}}{2 \, n} + a d^{3} \log\left(x\right) - \frac{b e^{3} n x^{3 \, r}}{9 \, r^{2}} + \frac{a e^{3} x^{3 \, r}}{3 \, r} - \frac{3 \, b d e^{2} n x^{2 \, r}}{4 \, r^{2}} + \frac{3 \, a d e^{2} x^{2 \, r}}{2 \, r} - \frac{3 \, b d^{2} e n x^{r}}{r^{2}} + \frac{3 \, a d^{2} e x^{r}}{r}"," ",0,"1/3*b*e^3*x^(3*r)*log(c*x^n)/r + 3/2*b*d*e^2*x^(2*r)*log(c*x^n)/r + 3*b*d^2*e*x^r*log(c*x^n)/r + 1/2*b*d^3*log(c*x^n)^2/n + a*d^3*log(x) - 1/9*b*e^3*n*x^(3*r)/r^2 + 1/3*a*e^3*x^(3*r)/r - 3/4*b*d*e^2*n*x^(2*r)/r^2 + 3/2*a*d*e^2*x^(2*r)/r - 3*b*d^2*e*n*x^r/r^2 + 3*a*d^2*e*x^r/r","A",0
396,-2,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^3,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(r-3>0)', see `assume?` for more details)Is r-3 equal to -1?","F(-2)",0
397,-2,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^5,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(r-5>0)', see `assume?` for more details)Is r-5 equal to -1?","F(-2)",0
398,1,228,0,1.383783," ","integrate(x^4*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{25} \, b d^{3} n x^{5} + \frac{1}{5} \, b d^{3} x^{5} \log\left(c x^{n}\right) + \frac{1}{5} \, a d^{3} x^{5} + \frac{b e^{3} x^{3 \, r + 5} \log\left(c x^{n}\right)}{3 \, r + 5} + \frac{3 \, b d e^{2} x^{2 \, r + 5} \log\left(c x^{n}\right)}{2 \, r + 5} + \frac{3 \, b d^{2} e x^{r + 5} \log\left(c x^{n}\right)}{r + 5} - \frac{b e^{3} n x^{3 \, r + 5}}{{\left(3 \, r + 5\right)}^{2}} + \frac{a e^{3} x^{3 \, r + 5}}{3 \, r + 5} - \frac{3 \, b d e^{2} n x^{2 \, r + 5}}{{\left(2 \, r + 5\right)}^{2}} + \frac{3 \, a d e^{2} x^{2 \, r + 5}}{2 \, r + 5} - \frac{3 \, b d^{2} e n x^{r + 5}}{{\left(r + 5\right)}^{2}} + \frac{3 \, a d^{2} e x^{r + 5}}{r + 5}"," ",0,"-1/25*b*d^3*n*x^5 + 1/5*b*d^3*x^5*log(c*x^n) + 1/5*a*d^3*x^5 + b*e^3*x^(3*r + 5)*log(c*x^n)/(3*r + 5) + 3*b*d*e^2*x^(2*r + 5)*log(c*x^n)/(2*r + 5) + 3*b*d^2*e*x^(r + 5)*log(c*x^n)/(r + 5) - b*e^3*n*x^(3*r + 5)/(3*r + 5)^2 + a*e^3*x^(3*r + 5)/(3*r + 5) - 3*b*d*e^2*n*x^(2*r + 5)/(2*r + 5)^2 + 3*a*d*e^2*x^(2*r + 5)/(2*r + 5) - 3*b*d^2*e*n*x^(r + 5)/(r + 5)^2 + 3*a*d^2*e*x^(r + 5)/(r + 5)","A",0
399,1,224,0,1.352736," ","integrate(x^2*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{9} \, b d^{3} n x^{3} + \frac{1}{3} \, b d^{3} x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a d^{3} x^{3} + \frac{b e^{3} x^{3 \, r + 3} \log\left(c x^{n}\right)}{3 \, {\left(r + 1\right)}} + \frac{3 \, b d e^{2} x^{2 \, r + 3} \log\left(c x^{n}\right)}{2 \, r + 3} + \frac{3 \, b d^{2} e x^{r + 3} \log\left(c x^{n}\right)}{r + 3} - \frac{b e^{3} n x^{3 \, r + 3}}{9 \, {\left(r + 1\right)}^{2}} + \frac{a e^{3} x^{3 \, r + 3}}{3 \, {\left(r + 1\right)}} - \frac{3 \, b d e^{2} n x^{2 \, r + 3}}{{\left(2 \, r + 3\right)}^{2}} + \frac{3 \, a d e^{2} x^{2 \, r + 3}}{2 \, r + 3} - \frac{3 \, b d^{2} e n x^{r + 3}}{{\left(r + 3\right)}^{2}} + \frac{3 \, a d^{2} e x^{r + 3}}{r + 3}"," ",0,"-1/9*b*d^3*n*x^3 + 1/3*b*d^3*x^3*log(c*x^n) + 1/3*a*d^3*x^3 + 1/3*b*e^3*x^(3*r + 3)*log(c*x^n)/(r + 1) + 3*b*d*e^2*x^(2*r + 3)*log(c*x^n)/(2*r + 3) + 3*b*d^2*e*x^(r + 3)*log(c*x^n)/(r + 3) - 1/9*b*e^3*n*x^(3*r + 3)/(r + 1)^2 + 1/3*a*e^3*x^(3*r + 3)/(r + 1) - 3*b*d*e^2*n*x^(2*r + 3)/(2*r + 3)^2 + 3*a*d*e^2*x^(2*r + 3)/(2*r + 3) - 3*b*d^2*e*n*x^(r + 3)/(r + 3)^2 + 3*a*d^2*e*x^(r + 3)/(r + 3)","A",0
400,1,220,0,1.441571," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-b d^{3} n x + b d^{3} x \log\left(c x^{n}\right) + a d^{3} x + \frac{b e^{3} x^{3 \, r + 1} \log\left(c x^{n}\right)}{3 \, r + 1} + \frac{3 \, b d e^{2} x^{2 \, r + 1} \log\left(c x^{n}\right)}{2 \, r + 1} + \frac{3 \, b d^{2} e x^{r + 1} \log\left(c x^{n}\right)}{r + 1} - \frac{b e^{3} n x^{3 \, r + 1}}{{\left(3 \, r + 1\right)}^{2}} + \frac{a e^{3} x^{3 \, r + 1}}{3 \, r + 1} - \frac{3 \, b d e^{2} n x^{2 \, r + 1}}{{\left(2 \, r + 1\right)}^{2}} + \frac{3 \, a d e^{2} x^{2 \, r + 1}}{2 \, r + 1} - \frac{3 \, b d^{2} e n x^{r + 1}}{{\left(r + 1\right)}^{2}} + \frac{3 \, a d^{2} e x^{r + 1}}{r + 1}"," ",0,"-b*d^3*n*x + b*d^3*x*log(c*x^n) + a*d^3*x + b*e^3*x^(3*r + 1)*log(c*x^n)/(3*r + 1) + 3*b*d*e^2*x^(2*r + 1)*log(c*x^n)/(2*r + 1) + 3*b*d^2*e*x^(r + 1)*log(c*x^n)/(r + 1) - b*e^3*n*x^(3*r + 1)/(3*r + 1)^2 + a*e^3*x^(3*r + 1)/(3*r + 1) - 3*b*d*e^2*n*x^(2*r + 1)/(2*r + 1)^2 + 3*a*d*e^2*x^(2*r + 1)/(2*r + 1) - 3*b*d^2*e*n*x^(r + 1)/(r + 1)^2 + 3*a*d^2*e*x^(r + 1)/(r + 1)","A",0
401,-2,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^2,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(r-2>0)', see `assume?` for more details)Is r-2 equal to -1?","F(-2)",0
402,-2,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^4,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(r-4>0)', see `assume?` for more details)Is r-4 equal to -1?","F(-2)",0
403,-2,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^6,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(r-6>0)', see `assume?` for more details)Is r-6 equal to -1?","F(-2)",0
404,-2,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^8,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(r-8>0)', see `assume?` for more details)Is r-8 equal to -1?","F(-2)",0
405,-2,0,0,0.000000," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x^10,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(r-10>0)', see `assume?` for more details)Is r-10 equal to -1?","F(-2)",0
406,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{e x^{r} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(e*x^r + d), x)","F",0
407,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x}{e x^{r} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x/(e*x^r + d), x)","F",0
408,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r),x, algorithm=""maxima"")","a {\left(\frac{\log\left(x\right)}{d} - \frac{\log\left(\frac{e x^{r} + d}{e}\right)}{d r}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x x^{r} + d x}\,{d x}"," ",0,"a*(log(x)/d - log((e*x^r + d)/e)/(d*r)) + b*integrate((log(c) + log(x^n))/(e*x*x^r + d*x), x)","F",0
409,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(d+e*x^r),x, algorithm=""maxima"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)*x^3), x)","F",0
410,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{e x^{r} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*x^r + d), x)","F",0
411,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""maxima"")","\int \frac{b \log\left(c x^{n}\right) + a}{e x^{r} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(e*x^r + d), x)","F",0
412,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(d+e*x^r),x, algorithm=""maxima"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)*x^2), x)","F",0
413,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}{{\left(e x^{r} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^3/(e*x^r + d)^2, x)","F",0
414,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x}{{\left(e x^{r} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x/(e*x^r + d)^2, x)","F",0
415,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^2,x, algorithm=""maxima"")","a {\left(\frac{1}{d e r x^{r} + d^{2} r} + \frac{\log\left(x\right)}{d^{2}} - \frac{\log\left(\frac{e x^{r} + d}{e}\right)}{d^{2} r}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{2} x x^{2 \, r} + 2 \, d e x x^{r} + d^{2} x}\,{d x}"," ",0,"a*(1/(d*e*r*x^r + d^2*r) + log(x)/d^2 - log((e*x^r + d)/e)/(d^2*r)) + b*integrate((log(c) + log(x^n))/(e^2*x*x^(2*r) + 2*d*e*x*x^r + d^2*x), x)","F",0
416,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^3/(d+e*x^r)^2,x, algorithm=""maxima"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)^2*x^3), x)","F",0
417,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}{{\left(e x^{r} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*x^2/(e*x^r + d)^2, x)","F",0
418,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""maxima"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/(e*x^r + d)^2, x)","F",0
419,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x^2/(d+e*x^r)^2,x, algorithm=""maxima"")","\int \frac{b \log\left(c x^{n}\right) + a}{{\left(e x^{r} + d\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)/((e*x^r + d)^2*x^2), x)","F",0
420,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(c-1/(x^n)),x, algorithm=""maxima"")","b \int \frac{x^{n} \log\left(c\right) + x^{n} \log\left(x^{n}\right)}{c x x^{n} - x}\,{d x} + \frac{a \log\left(\frac{c x^{n} - 1}{c}\right)}{c n}"," ",0,"b*integrate((x^n*log(c) + x^n*log(x^n))/(c*x*x^n - x), x) + a*log((c*x^n - 1)/c)/(c*n)","F",0
421,1,172,0,1.020571," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{b e^{3} x^{3 \, r} \log\left(c x^{n}\right)}{3 \, r} + \frac{3 \, b d e^{2} x^{2 \, r} \log\left(c x^{n}\right)}{2 \, r} + \frac{3 \, b d^{2} e x^{r} \log\left(c x^{n}\right)}{r} + \frac{b d^{3} \log\left(c x^{n}\right)^{2}}{2 \, n} + a d^{3} \log\left(x\right) - \frac{b e^{3} n x^{3 \, r}}{9 \, r^{2}} + \frac{a e^{3} x^{3 \, r}}{3 \, r} - \frac{3 \, b d e^{2} n x^{2 \, r}}{4 \, r^{2}} + \frac{3 \, a d e^{2} x^{2 \, r}}{2 \, r} - \frac{3 \, b d^{2} e n x^{r}}{r^{2}} + \frac{3 \, a d^{2} e x^{r}}{r}"," ",0,"1/3*b*e^3*x^(3*r)*log(c*x^n)/r + 3/2*b*d*e^2*x^(2*r)*log(c*x^n)/r + 3*b*d^2*e*x^r*log(c*x^n)/r + 1/2*b*d^3*log(c*x^n)^2/n + a*d^3*log(x) - 1/9*b*e^3*n*x^(3*r)/r^2 + 1/3*a*e^3*x^(3*r)/r - 3/4*b*d*e^2*n*x^(2*r)/r^2 + 3/2*a*d*e^2*x^(2*r)/r - 3*b*d^2*e*n*x^r/r^2 + 3*a*d^2*e*x^r/r","A",0
422,1,114,0,1.241236," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{b e^{2} x^{2 \, r} \log\left(c x^{n}\right)}{2 \, r} + \frac{2 \, b d e x^{r} \log\left(c x^{n}\right)}{r} + \frac{b d^{2} \log\left(c x^{n}\right)^{2}}{2 \, n} + a d^{2} \log\left(x\right) - \frac{b e^{2} n x^{2 \, r}}{4 \, r^{2}} + \frac{a e^{2} x^{2 \, r}}{2 \, r} - \frac{2 \, b d e n x^{r}}{r^{2}} + \frac{2 \, a d e x^{r}}{r}"," ",0,"1/2*b*e^2*x^(2*r)*log(c*x^n)/r + 2*b*d*e*x^r*log(c*x^n)/r + 1/2*b*d^2*log(c*x^n)^2/n + a*d^2*log(x) - 1/4*b*e^2*n*x^(2*r)/r^2 + 1/2*a*e^2*x^(2*r)/r - 2*b*d*e*n*x^r/r^2 + 2*a*d*e*x^r/r","A",0
423,1,56,0,1.101433," ","integrate((d+e*x^r)*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{b e x^{r} \log\left(c x^{n}\right)}{r} + \frac{b d \log\left(c x^{n}\right)^{2}}{2 \, n} + a d \log\left(x\right) - \frac{b e n x^{r}}{r^{2}} + \frac{a e x^{r}}{r}"," ",0,"b*e*x^r*log(c*x^n)/r + 1/2*b*d*log(c*x^n)^2/n + a*d*log(x) - b*e*n*x^r/r^2 + a*e*x^r/r","A",0
424,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r),x, algorithm=""maxima"")","a {\left(\frac{\log\left(x\right)}{d} - \frac{\log\left(\frac{e x^{r} + d}{e}\right)}{d r}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e x x^{r} + d x}\,{d x}"," ",0,"a*(log(x)/d - log((e*x^r + d)/e)/(d*r)) + b*integrate((log(c) + log(x^n))/(e*x*x^r + d*x), x)","F",0
425,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^2,x, algorithm=""maxima"")","a {\left(\frac{1}{d e r x^{r} + d^{2} r} + \frac{\log\left(x\right)}{d^{2}} - \frac{\log\left(\frac{e x^{r} + d}{e}\right)}{d^{2} r}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{2} x x^{2 \, r} + 2 \, d e x x^{r} + d^{2} x}\,{d x}"," ",0,"a*(1/(d*e*r*x^r + d^2*r) + log(x)/d^2 - log((e*x^r + d)/e)/(d^2*r)) + b*integrate((log(c) + log(x^n))/(e^2*x*x^(2*r) + 2*d*e*x*x^r + d^2*x), x)","F",0
426,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^3,x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{2 \, e x^{r} + 3 \, d}{d^{2} e^{2} r x^{2 \, r} + 2 \, d^{3} e r x^{r} + d^{4} r} + \frac{2 \, \log\left(x\right)}{d^{3}} - \frac{2 \, \log\left(\frac{e x^{r} + d}{e}\right)}{d^{3} r}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{e^{3} x x^{3 \, r} + 3 \, d e^{2} x x^{2 \, r} + 3 \, d^{2} e x x^{r} + d^{3} x}\,{d x}"," ",0,"1/2*a*((2*e*x^r + 3*d)/(d^2*e^2*r*x^(2*r) + 2*d^3*e*r*x^r + d^4*r) + 2*log(x)/d^3 - 2*log((e*x^r + d)/e)/(d^3*r)) + b*integrate((log(c) + log(x^n))/(e^3*x*x^(3*r) + 3*d*e^2*x*x^(2*r) + 3*d^2*e*x*x^r + d^3*x), x)","F",0
427,1,391,0,1.356479," ","integrate((d+e*x^r)^3*(a+b*log(c*x^n))^2/x,x, algorithm=""maxima"")","\frac{b^{2} e^{3} x^{3 \, r} \log\left(c x^{n}\right)^{2}}{3 \, r} + \frac{3 \, b^{2} d e^{2} x^{2 \, r} \log\left(c x^{n}\right)^{2}}{2 \, r} + \frac{3 \, b^{2} d^{2} e x^{r} \log\left(c x^{n}\right)^{2}}{r} + \frac{b^{2} d^{3} \log\left(c x^{n}\right)^{3}}{3 \, n} - \frac{2}{27} \, b^{2} e^{3} {\left(\frac{3 \, n x^{3 \, r} \log\left(c x^{n}\right)}{r^{2}} - \frac{n^{2} x^{3 \, r}}{r^{3}}\right)} - \frac{3}{4} \, b^{2} d e^{2} {\left(\frac{2 \, n x^{2 \, r} \log\left(c x^{n}\right)}{r^{2}} - \frac{n^{2} x^{2 \, r}}{r^{3}}\right)} - 6 \, b^{2} d^{2} e {\left(\frac{n x^{r} \log\left(c x^{n}\right)}{r^{2}} - \frac{n^{2} x^{r}}{r^{3}}\right)} + \frac{2 \, a b e^{3} x^{3 \, r} \log\left(c x^{n}\right)}{3 \, r} + \frac{3 \, a b d e^{2} x^{2 \, r} \log\left(c x^{n}\right)}{r} + \frac{6 \, a b d^{2} e x^{r} \log\left(c x^{n}\right)}{r} + \frac{a b d^{3} \log\left(c x^{n}\right)^{2}}{n} + a^{2} d^{3} \log\left(x\right) - \frac{2 \, a b e^{3} n x^{3 \, r}}{9 \, r^{2}} + \frac{a^{2} e^{3} x^{3 \, r}}{3 \, r} - \frac{3 \, a b d e^{2} n x^{2 \, r}}{2 \, r^{2}} + \frac{3 \, a^{2} d e^{2} x^{2 \, r}}{2 \, r} - \frac{6 \, a b d^{2} e n x^{r}}{r^{2}} + \frac{3 \, a^{2} d^{2} e x^{r}}{r}"," ",0,"1/3*b^2*e^3*x^(3*r)*log(c*x^n)^2/r + 3/2*b^2*d*e^2*x^(2*r)*log(c*x^n)^2/r + 3*b^2*d^2*e*x^r*log(c*x^n)^2/r + 1/3*b^2*d^3*log(c*x^n)^3/n - 2/27*b^2*e^3*(3*n*x^(3*r)*log(c*x^n)/r^2 - n^2*x^(3*r)/r^3) - 3/4*b^2*d*e^2*(2*n*x^(2*r)*log(c*x^n)/r^2 - n^2*x^(2*r)/r^3) - 6*b^2*d^2*e*(n*x^r*log(c*x^n)/r^2 - n^2*x^r/r^3) + 2/3*a*b*e^3*x^(3*r)*log(c*x^n)/r + 3*a*b*d*e^2*x^(2*r)*log(c*x^n)/r + 6*a*b*d^2*e*x^r*log(c*x^n)/r + a*b*d^3*log(c*x^n)^2/n + a^2*d^3*log(x) - 2/9*a*b*e^3*n*x^(3*r)/r^2 + 1/3*a^2*e^3*x^(3*r)/r - 3/2*a*b*d*e^2*n*x^(2*r)/r^2 + 3/2*a^2*d*e^2*x^(2*r)/r - 6*a*b*d^2*e*n*x^r/r^2 + 3*a^2*d^2*e*x^r/r","A",0
428,1,259,0,1.374626," ","integrate((d+e*x^r)^2*(a+b*log(c*x^n))^2/x,x, algorithm=""maxima"")","\frac{b^{2} e^{2} x^{2 \, r} \log\left(c x^{n}\right)^{2}}{2 \, r} + \frac{2 \, b^{2} d e x^{r} \log\left(c x^{n}\right)^{2}}{r} + \frac{b^{2} d^{2} \log\left(c x^{n}\right)^{3}}{3 \, n} - \frac{1}{4} \, b^{2} e^{2} {\left(\frac{2 \, n x^{2 \, r} \log\left(c x^{n}\right)}{r^{2}} - \frac{n^{2} x^{2 \, r}}{r^{3}}\right)} - 4 \, b^{2} d e {\left(\frac{n x^{r} \log\left(c x^{n}\right)}{r^{2}} - \frac{n^{2} x^{r}}{r^{3}}\right)} + \frac{a b e^{2} x^{2 \, r} \log\left(c x^{n}\right)}{r} + \frac{4 \, a b d e x^{r} \log\left(c x^{n}\right)}{r} + \frac{a b d^{2} \log\left(c x^{n}\right)^{2}}{n} + a^{2} d^{2} \log\left(x\right) - \frac{a b e^{2} n x^{2 \, r}}{2 \, r^{2}} + \frac{a^{2} e^{2} x^{2 \, r}}{2 \, r} - \frac{4 \, a b d e n x^{r}}{r^{2}} + \frac{2 \, a^{2} d e x^{r}}{r}"," ",0,"1/2*b^2*e^2*x^(2*r)*log(c*x^n)^2/r + 2*b^2*d*e*x^r*log(c*x^n)^2/r + 1/3*b^2*d^2*log(c*x^n)^3/n - 1/4*b^2*e^2*(2*n*x^(2*r)*log(c*x^n)/r^2 - n^2*x^(2*r)/r^3) - 4*b^2*d*e*(n*x^r*log(c*x^n)/r^2 - n^2*x^r/r^3) + a*b*e^2*x^(2*r)*log(c*x^n)/r + 4*a*b*d*e*x^r*log(c*x^n)/r + a*b*d^2*log(c*x^n)^2/n + a^2*d^2*log(x) - 1/2*a*b*e^2*n*x^(2*r)/r^2 + 1/2*a^2*e^2*x^(2*r)/r - 4*a*b*d*e*n*x^r/r^2 + 2*a^2*d*e*x^r/r","A",0
429,1,131,0,1.259226," ","integrate((d+e*x^r)*(a+b*log(c*x^n))^2/x,x, algorithm=""maxima"")","\frac{b^{2} e x^{r} \log\left(c x^{n}\right)^{2}}{r} + \frac{b^{2} d \log\left(c x^{n}\right)^{3}}{3 \, n} - 2 \, b^{2} e {\left(\frac{n x^{r} \log\left(c x^{n}\right)}{r^{2}} - \frac{n^{2} x^{r}}{r^{3}}\right)} + \frac{2 \, a b e x^{r} \log\left(c x^{n}\right)}{r} + \frac{a b d \log\left(c x^{n}\right)^{2}}{n} + a^{2} d \log\left(x\right) - \frac{2 \, a b e n x^{r}}{r^{2}} + \frac{a^{2} e x^{r}}{r}"," ",0,"b^2*e*x^r*log(c*x^n)^2/r + 1/3*b^2*d*log(c*x^n)^3/n - 2*b^2*e*(n*x^r*log(c*x^n)/r^2 - n^2*x^r/r^3) + 2*a*b*e*x^r*log(c*x^n)/r + a*b*d*log(c*x^n)^2/n + a^2*d*log(x) - 2*a*b*e*n*x^r/r^2 + a^2*e*x^r/r","A",0
430,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(d+e*x^r),x, algorithm=""maxima"")","a^{2} {\left(\frac{\log\left(x\right)}{d} - \frac{\log\left(\frac{e x^{r} + d}{e}\right)}{d r}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e x x^{r} + d x}\,{d x}"," ",0,"a^2*(log(x)/d - log((e*x^r + d)/e)/(d*r)) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e*x*x^r + d*x), x)","F",0
431,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(d+e*x^r)^2,x, algorithm=""maxima"")","a^{2} {\left(\frac{1}{d e r x^{r} + d^{2} r} + \frac{\log\left(x\right)}{d^{2}} - \frac{\log\left(\frac{e x^{r} + d}{e}\right)}{d^{2} r}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e^{2} x x^{2 \, r} + 2 \, d e x x^{r} + d^{2} x}\,{d x}"," ",0,"a^2*(1/(d*e*r*x^r + d^2*r) + log(x)/d^2 - log((e*x^r + d)/e)/(d^2*r)) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e^2*x*x^(2*r) + 2*d*e*x*x^r + d^2*x), x)","F",0
432,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^2/x/(d+e*x^r)^3,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{2 \, e x^{r} + 3 \, d}{d^{2} e^{2} r x^{2 \, r} + 2 \, d^{3} e r x^{r} + d^{4} r} + \frac{2 \, \log\left(x\right)}{d^{3}} - \frac{2 \, \log\left(\frac{e x^{r} + d}{e}\right)}{d^{3} r}\right)} + \int \frac{b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)}{e^{3} x x^{3 \, r} + 3 \, d e^{2} x x^{2 \, r} + 3 \, d^{2} e x x^{r} + d^{3} x}\,{d x}"," ",0,"1/2*a^2*((2*e*x^r + 3*d)/(d^2*e^2*r*x^(2*r) + 2*d^3*e*r*x^r + d^4*r) + 2*log(x)/d^3 - 2*log((e*x^r + d)/e)/(d^3*r)) + integrate((b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + 2*(b^2*log(c) + a*b)*log(x^n))/(e^3*x*x^(3*r) + 3*d*e^2*x*x^(2*r) + 3*d^2*e*x*x^r + d^3*x), x)","F",0
433,0,0,0,0.000000," ","integrate((d+e*x^r)^(5/2)*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{1}{15} \, {\left(\frac{15 \, d^{\frac{5}{2}} \log\left(\frac{\sqrt{e x^{r} + d} - \sqrt{d}}{\sqrt{e x^{r} + d} + \sqrt{d}}\right)}{r} + \frac{2 \, {\left(3 \, {\left(e x^{r} + d\right)}^{\frac{5}{2}} + 5 \, {\left(e x^{r} + d\right)}^{\frac{3}{2}} d + 15 \, \sqrt{e x^{r} + d} d^{2}\right)}}{r}\right)} a + b \int \frac{{\left(e^{2} x^{2 \, r} \log\left(c\right) + 2 \, d e x^{r} \log\left(c\right) + d^{2} \log\left(c\right) + {\left(e^{2} x^{2 \, r} + 2 \, d e x^{r} + d^{2}\right)} \log\left(x^{n}\right)\right)} \sqrt{e x^{r} + d}}{x}\,{d x}"," ",0,"1/15*(15*d^(5/2)*log((sqrt(e*x^r + d) - sqrt(d))/(sqrt(e*x^r + d) + sqrt(d)))/r + 2*(3*(e*x^r + d)^(5/2) + 5*(e*x^r + d)^(3/2)*d + 15*sqrt(e*x^r + d)*d^2)/r)*a + b*integrate((e^2*x^(2*r)*log(c) + 2*d*e*x^r*log(c) + d^2*log(c) + (e^2*x^(2*r) + 2*d*e*x^r + d^2)*log(x^n))*sqrt(e*x^r + d)/x, x)","F",0
434,0,0,0,0.000000," ","integrate((d+e*x^r)^(3/2)*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\frac{3 \, d^{\frac{3}{2}} \log\left(\frac{\sqrt{e x^{r} + d} - \sqrt{d}}{\sqrt{e x^{r} + d} + \sqrt{d}}\right)}{r} + \frac{2 \, {\left({\left(e x^{r} + d\right)}^{\frac{3}{2}} + 3 \, \sqrt{e x^{r} + d} d\right)}}{r}\right)} a + b \int \frac{{\left(e x^{r} \log\left(c\right) + d \log\left(c\right) + {\left(e x^{r} + d\right)} \log\left(x^{n}\right)\right)} \sqrt{e x^{r} + d}}{x}\,{d x}"," ",0,"1/3*(3*d^(3/2)*log((sqrt(e*x^r + d) - sqrt(d))/(sqrt(e*x^r + d) + sqrt(d)))/r + 2*((e*x^r + d)^(3/2) + 3*sqrt(e*x^r + d)*d)/r)*a + b*integrate((e*x^r*log(c) + d*log(c) + (e*x^r + d)*log(x^n))*sqrt(e*x^r + d)/x, x)","F",0
435,0,0,0,0.000000," ","integrate((d+e*x^r)^(1/2)*(a+b*log(c*x^n))/x,x, algorithm=""maxima"")","a {\left(\frac{\sqrt{d} \log\left(\frac{\sqrt{e x^{r} + d} - \sqrt{d}}{\sqrt{e x^{r} + d} + \sqrt{d}}\right)}{r} + \frac{2 \, \sqrt{e x^{r} + d}}{r}\right)} + b \int \frac{\sqrt{e x^{r} + d} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}}{x}\,{d x}"," ",0,"a*(sqrt(d)*log((sqrt(e*x^r + d) - sqrt(d))/(sqrt(e*x^r + d) + sqrt(d)))/r + 2*sqrt(e*x^r + d)/r) + b*integrate(sqrt(e*x^r + d)*(log(c) + log(x^n))/x, x)","F",0
436,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^(1/2),x, algorithm=""maxima"")","b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{\sqrt{e x^{r} + d} x}\,{d x} + \frac{a \log\left(\frac{\sqrt{e x^{r} + d} - \sqrt{d}}{\sqrt{e x^{r} + d} + \sqrt{d}}\right)}{\sqrt{d} r}"," ",0,"b*integrate((log(c) + log(x^n))/(sqrt(e*x^r + d)*x), x) + a*log((sqrt(e*x^r + d) - sqrt(d))/(sqrt(e*x^r + d) + sqrt(d)))/(sqrt(d)*r)","F",0
437,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^(3/2),x, algorithm=""maxima"")","a {\left(\frac{\log\left(\frac{\sqrt{e x^{r} + d} - \sqrt{d}}{\sqrt{e x^{r} + d} + \sqrt{d}}\right)}{d^{\frac{3}{2}} r} + \frac{2}{\sqrt{e x^{r} + d} d r}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e x x^{r} + d x\right)} \sqrt{e x^{r} + d}}\,{d x}"," ",0,"a*(log((sqrt(e*x^r + d) - sqrt(d))/(sqrt(e*x^r + d) + sqrt(d)))/(d^(3/2)*r) + 2/(sqrt(e*x^r + d)*d*r)) + b*integrate((log(c) + log(x^n))/((e*x*x^r + d*x)*sqrt(e*x^r + d)), x)","F",0
438,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^(5/2),x, algorithm=""maxima"")","\frac{1}{3} \, a {\left(\frac{3 \, \log\left(\frac{\sqrt{e x^{r} + d} - \sqrt{d}}{\sqrt{e x^{r} + d} + \sqrt{d}}\right)}{d^{\frac{5}{2}} r} + \frac{2 \, {\left(3 \, e x^{r} + 4 \, d\right)}}{{\left(e x^{r} + d\right)}^{\frac{3}{2}} d^{2} r}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e^{2} x x^{2 \, r} + 2 \, d e x x^{r} + d^{2} x\right)} \sqrt{e x^{r} + d}}\,{d x}"," ",0,"1/3*a*(3*log((sqrt(e*x^r + d) - sqrt(d))/(sqrt(e*x^r + d) + sqrt(d)))/(d^(5/2)*r) + 2*(3*e*x^r + 4*d)/((e*x^r + d)^(3/2)*d^2*r)) + b*integrate((log(c) + log(x^n))/((e^2*x*x^(2*r) + 2*d*e*x*x^r + d^2*x)*sqrt(e*x^r + d)), x)","F",0
439,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))/x/(d+e*x^r)^(7/2),x, algorithm=""maxima"")","\frac{1}{15} \, a {\left(\frac{15 \, \log\left(\frac{\sqrt{e x^{r} + d} - \sqrt{d}}{\sqrt{e x^{r} + d} + \sqrt{d}}\right)}{d^{\frac{7}{2}} r} + \frac{2 \, {\left(15 \, {\left(e x^{r} + d\right)}^{2} + 5 \, {\left(e x^{r} + d\right)} d + 3 \, d^{2}\right)}}{{\left(e x^{r} + d\right)}^{\frac{5}{2}} d^{3} r}\right)} + b \int \frac{\log\left(c\right) + \log\left(x^{n}\right)}{{\left(e^{3} x x^{3 \, r} + 3 \, d e^{2} x x^{2 \, r} + 3 \, d^{2} e x x^{r} + d^{3} x\right)} \sqrt{e x^{r} + d}}\,{d x}"," ",0,"1/15*a*(15*log((sqrt(e*x^r + d) - sqrt(d))/(sqrt(e*x^r + d) + sqrt(d)))/(d^(7/2)*r) + 2*(15*(e*x^r + d)^2 + 5*(e*x^r + d)*d + 3*d^2)/((e*x^r + d)^(5/2)*d^3*r)) + b*integrate((log(c) + log(x^n))/((e^3*x*x^(3*r) + 3*d*e^2*x*x^(2*r) + 3*d^2*e*x*x^r + d^3*x)*sqrt(e*x^r + d)), x)","F",0
440,1,343,0,1.595926," ","integrate((f*x)^m*(d+e*x^r)^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{b e^{3} f^{m} x e^{\left(m \log\left(x\right) + 3 \, r \log\left(x\right)\right)} \log\left(c x^{n}\right)}{m + 3 \, r + 1} + \frac{3 \, b d e^{2} f^{m} x e^{\left(m \log\left(x\right) + 2 \, r \log\left(x\right)\right)} \log\left(c x^{n}\right)}{m + 2 \, r + 1} + \frac{3 \, b d^{2} e f^{m} x e^{\left(m \log\left(x\right) + r \log\left(x\right)\right)} \log\left(c x^{n}\right)}{m + r + 1} - \frac{b d^{3} f^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{a e^{3} f^{m} x e^{\left(m \log\left(x\right) + 3 \, r \log\left(x\right)\right)}}{m + 3 \, r + 1} - \frac{b e^{3} f^{m} n x e^{\left(m \log\left(x\right) + 3 \, r \log\left(x\right)\right)}}{{\left(m + 3 \, r + 1\right)}^{2}} + \frac{3 \, a d e^{2} f^{m} x e^{\left(m \log\left(x\right) + 2 \, r \log\left(x\right)\right)}}{m + 2 \, r + 1} - \frac{3 \, b d e^{2} f^{m} n x e^{\left(m \log\left(x\right) + 2 \, r \log\left(x\right)\right)}}{{\left(m + 2 \, r + 1\right)}^{2}} + \frac{3 \, a d^{2} e f^{m} x e^{\left(m \log\left(x\right) + r \log\left(x\right)\right)}}{m + r + 1} - \frac{3 \, b d^{2} e f^{m} n x e^{\left(m \log\left(x\right) + r \log\left(x\right)\right)}}{{\left(m + r + 1\right)}^{2}} + \frac{\left(f x\right)^{m + 1} b d^{3} \log\left(c x^{n}\right)}{f {\left(m + 1\right)}} + \frac{\left(f x\right)^{m + 1} a d^{3}}{f {\left(m + 1\right)}}"," ",0,"b*e^3*f^m*x*e^(m*log(x) + 3*r*log(x))*log(c*x^n)/(m + 3*r + 1) + 3*b*d*e^2*f^m*x*e^(m*log(x) + 2*r*log(x))*log(c*x^n)/(m + 2*r + 1) + 3*b*d^2*e*f^m*x*e^(m*log(x) + r*log(x))*log(c*x^n)/(m + r + 1) - b*d^3*f^m*n*x*x^m/(m + 1)^2 + a*e^3*f^m*x*e^(m*log(x) + 3*r*log(x))/(m + 3*r + 1) - b*e^3*f^m*n*x*e^(m*log(x) + 3*r*log(x))/(m + 3*r + 1)^2 + 3*a*d*e^2*f^m*x*e^(m*log(x) + 2*r*log(x))/(m + 2*r + 1) - 3*b*d*e^2*f^m*n*x*e^(m*log(x) + 2*r*log(x))/(m + 2*r + 1)^2 + 3*a*d^2*e*f^m*x*e^(m*log(x) + r*log(x))/(m + r + 1) - 3*b*d^2*e*f^m*n*x*e^(m*log(x) + r*log(x))/(m + r + 1)^2 + (f*x)^(m + 1)*b*d^3*log(c*x^n)/(f*(m + 1)) + (f*x)^(m + 1)*a*d^3/(f*(m + 1))","A",0
441,1,240,0,1.637002," ","integrate((f*x)^m*(d+e*x^r)^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{b e^{2} f^{m} x e^{\left(m \log\left(x\right) + 2 \, r \log\left(x\right)\right)} \log\left(c x^{n}\right)}{m + 2 \, r + 1} + \frac{2 \, b d e f^{m} x e^{\left(m \log\left(x\right) + r \log\left(x\right)\right)} \log\left(c x^{n}\right)}{m + r + 1} - \frac{b d^{2} f^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{a e^{2} f^{m} x e^{\left(m \log\left(x\right) + 2 \, r \log\left(x\right)\right)}}{m + 2 \, r + 1} - \frac{b e^{2} f^{m} n x e^{\left(m \log\left(x\right) + 2 \, r \log\left(x\right)\right)}}{{\left(m + 2 \, r + 1\right)}^{2}} + \frac{2 \, a d e f^{m} x e^{\left(m \log\left(x\right) + r \log\left(x\right)\right)}}{m + r + 1} - \frac{2 \, b d e f^{m} n x e^{\left(m \log\left(x\right) + r \log\left(x\right)\right)}}{{\left(m + r + 1\right)}^{2}} + \frac{\left(f x\right)^{m + 1} b d^{2} \log\left(c x^{n}\right)}{f {\left(m + 1\right)}} + \frac{\left(f x\right)^{m + 1} a d^{2}}{f {\left(m + 1\right)}}"," ",0,"b*e^2*f^m*x*e^(m*log(x) + 2*r*log(x))*log(c*x^n)/(m + 2*r + 1) + 2*b*d*e*f^m*x*e^(m*log(x) + r*log(x))*log(c*x^n)/(m + r + 1) - b*d^2*f^m*n*x*x^m/(m + 1)^2 + a*e^2*f^m*x*e^(m*log(x) + 2*r*log(x))/(m + 2*r + 1) - b*e^2*f^m*n*x*e^(m*log(x) + 2*r*log(x))/(m + 2*r + 1)^2 + 2*a*d*e*f^m*x*e^(m*log(x) + r*log(x))/(m + r + 1) - 2*b*d*e*f^m*n*x*e^(m*log(x) + r*log(x))/(m + r + 1)^2 + (f*x)^(m + 1)*b*d^2*log(c*x^n)/(f*(m + 1)) + (f*x)^(m + 1)*a*d^2/(f*(m + 1))","A",0
442,1,137,0,1.102416," ","integrate((f*x)^m*(d+e*x^r)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{b e f^{m} x e^{\left(m \log\left(x\right) + r \log\left(x\right)\right)} \log\left(c x^{n}\right)}{m + r + 1} - \frac{b d f^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{a e f^{m} x e^{\left(m \log\left(x\right) + r \log\left(x\right)\right)}}{m + r + 1} - \frac{b e f^{m} n x e^{\left(m \log\left(x\right) + r \log\left(x\right)\right)}}{{\left(m + r + 1\right)}^{2}} + \frac{\left(f x\right)^{m + 1} b d \log\left(c x^{n}\right)}{f {\left(m + 1\right)}} + \frac{\left(f x\right)^{m + 1} a d}{f {\left(m + 1\right)}}"," ",0,"b*e*f^m*x*e^(m*log(x) + r*log(x))*log(c*x^n)/(m + r + 1) - b*d*f^m*n*x*x^m/(m + 1)^2 + a*e*f^m*x*e^(m*log(x) + r*log(x))/(m + r + 1) - b*e*f^m*n*x*e^(m*log(x) + r*log(x))/(m + r + 1)^2 + (f*x)^(m + 1)*b*d*log(c*x^n)/(f*(m + 1)) + (f*x)^(m + 1)*a*d/(f*(m + 1))","A",0
443,1,57,0,1.010089," ","integrate((f*x)^m*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{b f^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{\left(f x\right)^{m + 1} b \log\left(c x^{n}\right)}{f {\left(m + 1\right)}} + \frac{\left(f x\right)^{m + 1} a}{f {\left(m + 1\right)}}"," ",0,"-b*f^m*n*x*x^m/(m + 1)^2 + (f*x)^(m + 1)*b*log(c*x^n)/(f*(m + 1)) + (f*x)^(m + 1)*a/(f*(m + 1))","A",0
444,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))/(d+e*x^r),x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \left(f x\right)^{m}}{e x^{r} + d}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(f*x)^m/(e*x^r + d), x)","F",0
445,0,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))/(d+e*x^r)^2,x, algorithm=""maxima"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)} \left(f x\right)^{m}}{{\left(e x^{r} + d\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(f*x)^m/(e*x^r + d)^2, x)","F",0
446,0,0,0,0.000000," ","integrate((d+e/(x^(1/(1+q))))^q*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int {\left(b \log\left(c x^{n}\right) + a\right)} {\left(d + \frac{e}{x^{\left(\frac{1}{q + 1}\right)}}\right)}^{q}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(d + e/x^(1/(q + 1)))^q, x)","F",0
447,0,0,0,0.000000," ","integrate((f*x)^(-1-(1+q)*r)*(d+e*x^r)^q*(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int {\left(b \log\left(c x^{n}\right) + a\right)} {\left(e x^{r} + d\right)}^{q} \left(f x\right)^{-{\left(q + 1\right)} r - 1}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)*(e*x^r + d)^q*(f*x)^(-(q + 1)*r - 1), x)","F",0
448,-2,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^r)^3*(a+b*log(c*x^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
449,-2,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^r)^2*(a+b*log(c*x^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
450,-2,0,0,0.000000," ","integrate((f*x)^m*(d+e*x^r)*(a+b*log(c*x^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
451,-2,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^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
452,-2,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))^p/(d+e*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
453,-2,0,0,0.000000," ","integrate((f*x)^m*(a+b*log(c*x^n))^p/(d+e*x^r)^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
454,1,218,0,1.116894," ","integrate((g*x+f)*(a+b*log(c*x^n))/(e*x+d)^3,x, algorithm=""maxima"")","\frac{1}{2} \, b f n {\left(\frac{1}{d e^{2} x + d^{2} e} - \frac{\log\left(e x + d\right)}{d^{2} e} + \frac{\log\left(x\right)}{d^{2} e}\right)} - \frac{1}{2} \, b g n {\left(\frac{1}{e^{3} x + d e^{2}} + \frac{\log\left(e x + d\right)}{d e^{2}} - \frac{\log\left(x\right)}{d e^{2}}\right)} - \frac{{\left(2 \, e x + d\right)} b g \log\left(c x^{n}\right)}{2 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}} - \frac{{\left(2 \, e x + d\right)} a g}{2 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}} - \frac{b f \log\left(c x^{n}\right)}{2 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}} - \frac{a f}{2 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}}"," ",0,"1/2*b*f*n*(1/(d*e^2*x + d^2*e) - log(e*x + d)/(d^2*e) + log(x)/(d^2*e)) - 1/2*b*g*n*(1/(e^3*x + d*e^2) + log(e*x + d)/(d*e^2) - log(x)/(d*e^2)) - 1/2*(2*e*x + d)*b*g*log(c*x^n)/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) - 1/2*(2*e*x + d)*a*g/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) - 1/2*b*f*log(c*x^n)/(e^3*x^2 + 2*d*e^2*x + d^2*e) - 1/2*a*f/(e^3*x^2 + 2*d*e^2*x + d^2*e)","B",0
455,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*x^n))^2/(e*x+d)^3,x, algorithm=""maxima"")","a b f n {\left(\frac{1}{d e^{2} x + d^{2} e} - \frac{\log\left(e x + d\right)}{d^{2} e} + \frac{\log\left(x\right)}{d^{2} e}\right)} - a b g n {\left(\frac{1}{e^{3} x + d e^{2}} + \frac{\log\left(e x + d\right)}{d e^{2}} - \frac{\log\left(x\right)}{d e^{2}}\right)} - \frac{{\left(2 \, e x + d\right)} a b g \log\left(c x^{n}\right)}{e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}} - \frac{{\left(2 \, e x + d\right)} a^{2} g}{2 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}} - \frac{a b f \log\left(c x^{n}\right)}{e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e} - \frac{a^{2} f}{2 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}} - \frac{{\left(2 \, b^{2} e g x + {\left(e f + d g\right)} b^{2}\right)} \log\left(x^{n}\right)^{2}}{2 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}} + \int \frac{b^{2} e^{2} g x^{2} \log\left(c\right)^{2} + b^{2} e^{2} f x \log\left(c\right)^{2} + {\left(2 \, {\left(e^{2} g n + e^{2} g \log\left(c\right)\right)} b^{2} x^{2} + {\left(e^{2} f n + 3 \, d e g n + 2 \, e^{2} f \log\left(c\right)\right)} b^{2} x + {\left(d e f n + d^{2} g n\right)} b^{2}\right)} \log\left(x^{n}\right)}{e^{5} x^{4} + 3 \, d e^{4} x^{3} + 3 \, d^{2} e^{3} x^{2} + d^{3} e^{2} x}\,{d x}"," ",0,"a*b*f*n*(1/(d*e^2*x + d^2*e) - log(e*x + d)/(d^2*e) + log(x)/(d^2*e)) - a*b*g*n*(1/(e^3*x + d*e^2) + log(e*x + d)/(d*e^2) - log(x)/(d*e^2)) - (2*e*x + d)*a*b*g*log(c*x^n)/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) - 1/2*(2*e*x + d)*a^2*g/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) - a*b*f*log(c*x^n)/(e^3*x^2 + 2*d*e^2*x + d^2*e) - 1/2*a^2*f/(e^3*x^2 + 2*d*e^2*x + d^2*e) - 1/2*(2*b^2*e*g*x + (e*f + d*g)*b^2)*log(x^n)^2/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) + integrate((b^2*e^2*g*x^2*log(c)^2 + b^2*e^2*f*x*log(c)^2 + (2*(e^2*g*n + e^2*g*log(c))*b^2*x^2 + (e^2*f*n + 3*d*e*g*n + 2*e^2*f*log(c))*b^2*x + (d*e*f*n + d^2*g*n)*b^2)*log(x^n))/(e^5*x^4 + 3*d*e^4*x^3 + 3*d^2*e^3*x^2 + d^3*e^2*x), x)","F",0
456,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*log(c*x^n))^3/(e*x+d)^3,x, algorithm=""maxima"")","\frac{3}{2} \, a^{2} b f n {\left(\frac{1}{d e^{2} x + d^{2} e} - \frac{\log\left(e x + d\right)}{d^{2} e} + \frac{\log\left(x\right)}{d^{2} e}\right)} - \frac{3}{2} \, a^{2} b g n {\left(\frac{1}{e^{3} x + d e^{2}} + \frac{\log\left(e x + d\right)}{d e^{2}} - \frac{\log\left(x\right)}{d e^{2}}\right)} - \frac{3 \, {\left(2 \, e x + d\right)} a^{2} b g \log\left(c x^{n}\right)}{2 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}} - \frac{{\left(2 \, e x + d\right)} a^{3} g}{2 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}} - \frac{3 \, a^{2} b f \log\left(c x^{n}\right)}{2 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}} - \frac{a^{3} f}{2 \, {\left(e^{3} x^{2} + 2 \, d e^{2} x + d^{2} e\right)}} - \frac{{\left(2 \, b^{3} e g x + {\left(e f + d g\right)} b^{3}\right)} \log\left(x^{n}\right)^{3}}{2 \, {\left(e^{4} x^{2} + 2 \, d e^{3} x + d^{2} e^{2}\right)}} + \int \frac{2 \, {\left(b^{3} e^{2} g \log\left(c\right)^{3} + 3 \, a b^{2} e^{2} g \log\left(c\right)^{2}\right)} x^{2} + 3 \, {\left({\left(d e f n + d^{2} g n\right)} b^{3} + 2 \, {\left(a b^{2} e^{2} g + {\left(e^{2} g n + e^{2} g \log\left(c\right)\right)} b^{3}\right)} x^{2} + {\left(2 \, a b^{2} e^{2} f + {\left(e^{2} f n + 3 \, d e g n + 2 \, e^{2} f \log\left(c\right)\right)} b^{3}\right)} x\right)} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{3} e^{2} f \log\left(c\right)^{3} + 3 \, a b^{2} e^{2} f \log\left(c\right)^{2}\right)} x + 6 \, {\left({\left(b^{3} e^{2} g \log\left(c\right)^{2} + 2 \, a b^{2} e^{2} g \log\left(c\right)\right)} x^{2} + {\left(b^{3} e^{2} f \log\left(c\right)^{2} + 2 \, a b^{2} e^{2} f \log\left(c\right)\right)} x\right)} \log\left(x^{n}\right)}{2 \, {\left(e^{5} x^{4} + 3 \, d e^{4} x^{3} + 3 \, d^{2} e^{3} x^{2} + d^{3} e^{2} x\right)}}\,{d x}"," ",0,"3/2*a^2*b*f*n*(1/(d*e^2*x + d^2*e) - log(e*x + d)/(d^2*e) + log(x)/(d^2*e)) - 3/2*a^2*b*g*n*(1/(e^3*x + d*e^2) + log(e*x + d)/(d*e^2) - log(x)/(d*e^2)) - 3/2*(2*e*x + d)*a^2*b*g*log(c*x^n)/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) - 1/2*(2*e*x + d)*a^3*g/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) - 3/2*a^2*b*f*log(c*x^n)/(e^3*x^2 + 2*d*e^2*x + d^2*e) - 1/2*a^3*f/(e^3*x^2 + 2*d*e^2*x + d^2*e) - 1/2*(2*b^3*e*g*x + (e*f + d*g)*b^3)*log(x^n)^3/(e^4*x^2 + 2*d*e^3*x + d^2*e^2) + integrate(1/2*(2*(b^3*e^2*g*log(c)^3 + 3*a*b^2*e^2*g*log(c)^2)*x^2 + 3*((d*e*f*n + d^2*g*n)*b^3 + 2*(a*b^2*e^2*g + (e^2*g*n + e^2*g*log(c))*b^3)*x^2 + (2*a*b^2*e^2*f + (e^2*f*n + 3*d*e*g*n + 2*e^2*f*log(c))*b^3)*x)*log(x^n)^2 + 2*(b^3*e^2*f*log(c)^3 + 3*a*b^2*e^2*f*log(c)^2)*x + 6*((b^3*e^2*g*log(c)^2 + 2*a*b^2*e^2*g*log(c))*x^2 + (b^3*e^2*f*log(c)^2 + 2*a*b^2*e^2*f*log(c))*x)*log(x^n))/(e^5*x^4 + 3*d*e^4*x^3 + 3*d^2*e^3*x^2 + d^3*e^2*x), x)","F",0
