1,1,72,0,0.321345," ","integrate(x^4*polylog(2,a*x),x, algorithm=""maxima"")","\frac{300 \, a^{5} x^{5} {\rm Li}_2\left(a x\right) - 12 \, a^{5} x^{5} - 15 \, a^{4} x^{4} - 20 \, a^{3} x^{3} - 30 \, a^{2} x^{2} - 60 \, a x + 60 \, {\left(a^{5} x^{5} - 1\right)} \log\left(-a x + 1\right)}{1500 \, a^{5}}"," ",0,"1/1500*(300*a^5*x^5*dilog(a*x) - 12*a^5*x^5 - 15*a^4*x^4 - 20*a^3*x^3 - 30*a^2*x^2 - 60*a*x + 60*(a^5*x^5 - 1)*log(-a*x + 1))/a^5","A",0
2,1,64,0,0.321104," ","integrate(x^3*polylog(2,a*x),x, algorithm=""maxima"")","\frac{48 \, a^{4} x^{4} {\rm Li}_2\left(a x\right) - 3 \, a^{4} x^{4} - 4 \, a^{3} x^{3} - 6 \, a^{2} x^{2} - 12 \, a x + 12 \, {\left(a^{4} x^{4} - 1\right)} \log\left(-a x + 1\right)}{192 \, a^{4}}"," ",0,"1/192*(48*a^4*x^4*dilog(a*x) - 3*a^4*x^4 - 4*a^3*x^3 - 6*a^2*x^2 - 12*a*x + 12*(a^4*x^4 - 1)*log(-a*x + 1))/a^4","A",0
3,1,56,0,0.307499," ","integrate(x^2*polylog(2,a*x),x, algorithm=""maxima"")","\frac{18 \, a^{3} x^{3} {\rm Li}_2\left(a x\right) - 2 \, a^{3} x^{3} - 3 \, a^{2} x^{2} - 6 \, a x + 6 \, {\left(a^{3} x^{3} - 1\right)} \log\left(-a x + 1\right)}{54 \, a^{3}}"," ",0,"1/54*(18*a^3*x^3*dilog(a*x) - 2*a^3*x^3 - 3*a^2*x^2 - 6*a*x + 6*(a^3*x^3 - 1)*log(-a*x + 1))/a^3","A",0
4,1,48,0,0.316796," ","integrate(x*polylog(2,a*x),x, algorithm=""maxima"")","\frac{4 \, a^{2} x^{2} {\rm Li}_2\left(a x\right) - a^{2} x^{2} - 2 \, a x + 2 \, {\left(a^{2} x^{2} - 1\right)} \log\left(-a x + 1\right)}{8 \, a^{2}}"," ",0,"1/8*(4*a^2*x^2*dilog(a*x) - a^2*x^2 - 2*a*x + 2*(a^2*x^2 - 1)*log(-a*x + 1))/a^2","A",0
5,1,29,0,0.317037," ","integrate(polylog(2,a*x),x, algorithm=""maxima"")","\frac{a x {\rm Li}_2\left(a x\right) - a x + {\left(a x - 1\right)} \log\left(-a x + 1\right)}{a}"," ",0,"(a*x*dilog(a*x) - a*x + (a*x - 1)*log(-a*x + 1))/a","A",0
6,1,5,0,0.316439," ","integrate(polylog(2,a*x)/x,x, algorithm=""maxima"")","{\rm Li}_{3}(a x)"," ",0,"polylog(3, a*x)","A",0
7,1,28,0,0.326266," ","integrate(polylog(2,a*x)/x^2,x, algorithm=""maxima"")","a \log\left(x\right) - \frac{{\left(a x - 1\right)} \log\left(-a x + 1\right) + {\rm Li}_2\left(a x\right)}{x}"," ",0,"a*log(x) - ((a*x - 1)*log(-a*x + 1) + dilog(a*x))/x","A",0
8,1,40,0,0.327647," ","integrate(polylog(2,a*x)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} \log\left(x\right) - \frac{a x + {\left(a^{2} x^{2} - 1\right)} \log\left(-a x + 1\right) + 2 \, {\rm Li}_2\left(a x\right)}{4 \, x^{2}}"," ",0,"1/4*a^2*log(x) - 1/4*(a*x + (a^2*x^2 - 1)*log(-a*x + 1) + 2*dilog(a*x))/x^2","A",0
9,1,49,0,0.311132," ","integrate(polylog(2,a*x)/x^4,x, algorithm=""maxima"")","\frac{1}{9} \, a^{3} \log\left(x\right) - \frac{2 \, a^{2} x^{2} + a x + 2 \, {\left(a^{3} x^{3} - 1\right)} \log\left(-a x + 1\right) + 6 \, {\rm Li}_2\left(a x\right)}{18 \, x^{3}}"," ",0,"1/9*a^3*log(x) - 1/18*(2*a^2*x^2 + a*x + 2*(a^3*x^3 - 1)*log(-a*x + 1) + 6*dilog(a*x))/x^3","A",0
10,1,58,0,0.312802," ","integrate(polylog(2,a*x)/x^5,x, algorithm=""maxima"")","\frac{1}{16} \, a^{4} \log\left(x\right) - \frac{6 \, a^{3} x^{3} + 3 \, a^{2} x^{2} + 2 \, a x + 6 \, {\left(a^{4} x^{4} - 1\right)} \log\left(-a x + 1\right) + 24 \, {\rm Li}_2\left(a x\right)}{96 \, x^{4}}"," ",0,"1/16*a^4*log(x) - 1/96*(6*a^3*x^3 + 3*a^2*x^2 + 2*a*x + 6*(a^4*x^4 - 1)*log(-a*x + 1) + 24*dilog(a*x))/x^4","A",0
11,1,77,0,0.325133," ","integrate(x^3*polylog(3,a*x),x, algorithm=""maxima"")","-\frac{48 \, a^{4} x^{4} {\rm Li}_2\left(a x\right) - 192 \, a^{4} x^{4} {\rm Li}_{3}(a x) - 3 \, a^{4} x^{4} - 4 \, a^{3} x^{3} - 6 \, a^{2} x^{2} - 12 \, a x + 12 \, {\left(a^{4} x^{4} - 1\right)} \log\left(-a x + 1\right)}{768 \, a^{4}}"," ",0,"-1/768*(48*a^4*x^4*dilog(a*x) - 192*a^4*x^4*polylog(3, a*x) - 3*a^4*x^4 - 4*a^3*x^3 - 6*a^2*x^2 - 12*a*x + 12*(a^4*x^4 - 1)*log(-a*x + 1))/a^4","A",0
12,1,69,0,0.325033," ","integrate(x^2*polylog(3,a*x),x, algorithm=""maxima"")","-\frac{18 \, a^{3} x^{3} {\rm Li}_2\left(a x\right) - 54 \, a^{3} x^{3} {\rm Li}_{3}(a x) - 2 \, a^{3} x^{3} - 3 \, a^{2} x^{2} - 6 \, a x + 6 \, {\left(a^{3} x^{3} - 1\right)} \log\left(-a x + 1\right)}{162 \, a^{3}}"," ",0,"-1/162*(18*a^3*x^3*dilog(a*x) - 54*a^3*x^3*polylog(3, a*x) - 2*a^3*x^3 - 3*a^2*x^2 - 6*a*x + 6*(a^3*x^3 - 1)*log(-a*x + 1))/a^3","A",0
13,1,61,0,0.325556," ","integrate(x*polylog(3,a*x),x, algorithm=""maxima"")","-\frac{4 \, a^{2} x^{2} {\rm Li}_2\left(a x\right) - 8 \, a^{2} x^{2} {\rm Li}_{3}(a x) - a^{2} x^{2} - 2 \, a x + 2 \, {\left(a^{2} x^{2} - 1\right)} \log\left(-a x + 1\right)}{16 \, a^{2}}"," ",0,"-1/16*(4*a^2*x^2*dilog(a*x) - 8*a^2*x^2*polylog(3, a*x) - a^2*x^2 - 2*a*x + 2*(a^2*x^2 - 1)*log(-a*x + 1))/a^2","A",0
14,1,39,0,0.321287," ","integrate(polylog(3,a*x),x, algorithm=""maxima"")","-\frac{a x {\rm Li}_2\left(a x\right) - a x {\rm Li}_{3}(a x) - a x + {\left(a x - 1\right)} \log\left(-a x + 1\right)}{a}"," ",0,"-(a*x*dilog(a*x) - a*x*polylog(3, a*x) - a*x + (a*x - 1)*log(-a*x + 1))/a","A",0
15,1,5,0,0.324689," ","integrate(polylog(3,a*x)/x,x, algorithm=""maxima"")","{\rm Li}_{4}(a x)"," ",0,"polylog(4, a*x)","A",0
16,1,33,0,0.330835," ","integrate(polylog(3,a*x)/x^2,x, algorithm=""maxima"")","a \log\left(x\right) - \frac{{\left(a x - 1\right)} \log\left(-a x + 1\right) + {\rm Li}_2\left(a x\right) + {\rm Li}_{3}(a x)}{x}"," ",0,"a*log(x) - ((a*x - 1)*log(-a*x + 1) + dilog(a*x) + polylog(3, a*x))/x","A",0
17,1,47,0,0.328657," ","integrate(polylog(3,a*x)/x^3,x, algorithm=""maxima"")","\frac{1}{8} \, a^{2} \log\left(x\right) - \frac{a x + {\left(a^{2} x^{2} - 1\right)} \log\left(-a x + 1\right) + 2 \, {\rm Li}_2\left(a x\right) + 4 \, {\rm Li}_{3}(a x)}{8 \, x^{2}}"," ",0,"1/8*a^2*log(x) - 1/8*(a*x + (a^2*x^2 - 1)*log(-a*x + 1) + 2*dilog(a*x) + 4*polylog(3, a*x))/x^2","A",0
18,1,56,0,0.332410," ","integrate(polylog(3,a*x)/x^4,x, algorithm=""maxima"")","\frac{1}{27} \, a^{3} \log\left(x\right) - \frac{2 \, a^{2} x^{2} + a x + 2 \, {\left(a^{3} x^{3} - 1\right)} \log\left(-a x + 1\right) + 6 \, {\rm Li}_2\left(a x\right) + 18 \, {\rm Li}_{3}(a x)}{54 \, x^{3}}"," ",0,"1/27*a^3*log(x) - 1/54*(2*a^2*x^2 + a*x + 2*(a^3*x^3 - 1)*log(-a*x + 1) + 6*dilog(a*x) + 18*polylog(3, a*x))/x^3","A",0
19,1,62,0,0.313706," ","integrate(x^5*polylog(2,a*x^2),x, algorithm=""maxima"")","\frac{18 \, a^{3} x^{6} {\rm Li}_2\left(a x^{2}\right) - 2 \, a^{3} x^{6} - 3 \, a^{2} x^{4} - 6 \, a x^{2} + 6 \, {\left(a^{3} x^{6} - 1\right)} \log\left(-a x^{2} + 1\right)}{108 \, a^{3}}"," ",0,"1/108*(18*a^3*x^6*dilog(a*x^2) - 2*a^3*x^6 - 3*a^2*x^4 - 6*a*x^2 + 6*(a^3*x^6 - 1)*log(-a*x^2 + 1))/a^3","A",0
20,1,54,0,0.311121," ","integrate(x^3*polylog(2,a*x^2),x, algorithm=""maxima"")","\frac{4 \, a^{2} x^{4} {\rm Li}_2\left(a x^{2}\right) - a^{2} x^{4} - 2 \, a x^{2} + 2 \, {\left(a^{2} x^{4} - 1\right)} \log\left(-a x^{2} + 1\right)}{16 \, a^{2}}"," ",0,"1/16*(4*a^2*x^4*dilog(a*x^2) - a^2*x^4 - 2*a*x^2 + 2*(a^2*x^4 - 1)*log(-a*x^2 + 1))/a^2","A",0
21,1,40,0,0.311364," ","integrate(x*polylog(2,a*x^2),x, algorithm=""maxima"")","\frac{a x^{2} {\rm Li}_2\left(a x^{2}\right) - a x^{2} + {\left(a x^{2} - 1\right)} \log\left(-a x^{2} + 1\right)}{2 \, a}"," ",0,"1/2*(a*x^2*dilog(a*x^2) - a*x^2 + (a*x^2 - 1)*log(-a*x^2 + 1))/a","A",0
22,0,0,0,0.000000," ","integrate(polylog(2,a*x^2)/x,x, algorithm=""maxima"")","\int \frac{{\rm Li}_2\left(a x^{2}\right)}{x}\,{d x}"," ",0,"integrate(dilog(a*x^2)/x, x)","F",0
23,1,34,0,0.320061," ","integrate(polylog(2,a*x^2)/x^3,x, algorithm=""maxima"")","a \log\left(x\right) - \frac{{\left(a x^{2} - 1\right)} \log\left(-a x^{2} + 1\right) + {\rm Li}_2\left(a x^{2}\right)}{2 \, x^{2}}"," ",0,"a*log(x) - 1/2*((a*x^2 - 1)*log(-a*x^2 + 1) + dilog(a*x^2))/x^2","A",0
24,1,46,0,0.334172," ","integrate(polylog(2,a*x^2)/x^5,x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} \log\left(x\right) - \frac{a x^{2} + {\left(a^{2} x^{4} - 1\right)} \log\left(-a x^{2} + 1\right) + 2 \, {\rm Li}_2\left(a x^{2}\right)}{8 \, x^{4}}"," ",0,"1/4*a^2*log(x) - 1/8*(a*x^2 + (a^2*x^4 - 1)*log(-a*x^2 + 1) + 2*dilog(a*x^2))/x^4","A",0
25,1,55,0,0.319279," ","integrate(polylog(2,a*x^2)/x^7,x, algorithm=""maxima"")","\frac{1}{9} \, a^{3} \log\left(x\right) - \frac{2 \, a^{2} x^{4} + a x^{2} + 2 \, {\left(a^{3} x^{6} - 1\right)} \log\left(-a x^{2} + 1\right) + 6 \, {\rm Li}_2\left(a x^{2}\right)}{36 \, x^{6}}"," ",0,"1/9*a^3*log(x) - 1/36*(2*a^2*x^4 + a*x^2 + 2*(a^3*x^6 - 1)*log(-a*x^2 + 1) + 6*dilog(a*x^2))/x^6","A",0
26,1,80,0,0.421772," ","integrate(x^4*polylog(2,a*x^2),x, algorithm=""maxima"")","\frac{75 \, a^{2} x^{5} {\rm Li}_2\left(a x^{2}\right) + 30 \, a^{2} x^{5} \log\left(-a x^{2} + 1\right) - 12 \, a^{2} x^{5} - 20 \, a x^{3} - 60 \, x}{375 \, a^{2}} - \frac{2 \, \log\left(\frac{a x - \sqrt{a}}{a x + \sqrt{a}}\right)}{25 \, a^{\frac{5}{2}}}"," ",0,"1/375*(75*a^2*x^5*dilog(a*x^2) + 30*a^2*x^5*log(-a*x^2 + 1) - 12*a^2*x^5 - 20*a*x^3 - 60*x)/a^2 - 2/25*log((a*x - sqrt(a))/(a*x + sqrt(a)))/a^(5/2)","A",0
27,1,68,0,0.420131," ","integrate(x^2*polylog(2,a*x^2),x, algorithm=""maxima"")","\frac{9 \, a x^{3} {\rm Li}_2\left(a x^{2}\right) + 6 \, a x^{3} \log\left(-a x^{2} + 1\right) - 4 \, a x^{3} - 12 \, x}{27 \, a} - \frac{2 \, \log\left(\frac{a x - \sqrt{a}}{a x + \sqrt{a}}\right)}{9 \, a^{\frac{3}{2}}}"," ",0,"1/27*(9*a*x^3*dilog(a*x^2) + 6*a*x^3*log(-a*x^2 + 1) - 4*a*x^3 - 12*x)/a - 2/9*log((a*x - sqrt(a))/(a*x + sqrt(a)))/a^(3/2)","A",0
28,1,49,0,0.410793," ","integrate(polylog(2,a*x^2),x, algorithm=""maxima"")","x {\rm Li}_2\left(a x^{2}\right) + 2 \, x \log\left(-a x^{2} + 1\right) - 4 \, x - \frac{2 \, \log\left(\frac{a x - \sqrt{a}}{a x + \sqrt{a}}\right)}{\sqrt{a}}"," ",0,"x*dilog(a*x^2) + 2*x*log(-a*x^2 + 1) - 4*x - 2*log((a*x - sqrt(a))/(a*x + sqrt(a)))/sqrt(a)","A",0
29,1,49,0,0.412718," ","integrate(polylog(2,a*x^2)/x^2,x, algorithm=""maxima"")","-2 \, \sqrt{a} \log\left(\frac{a x - \sqrt{a}}{a x + \sqrt{a}}\right) - \frac{{\rm Li}_2\left(a x^{2}\right) - 2 \, \log\left(-a x^{2} + 1\right)}{x}"," ",0,"-2*sqrt(a)*log((a*x - sqrt(a))/(a*x + sqrt(a))) - (dilog(a*x^2) - 2*log(-a*x^2 + 1))/x","A",0
30,1,57,0,0.417387," ","integrate(polylog(2,a*x^2)/x^4,x, algorithm=""maxima"")","-\frac{2}{9} \, a^{\frac{3}{2}} \log\left(\frac{a x - \sqrt{a}}{a x + \sqrt{a}}\right) - \frac{4 \, a x^{2} + 3 \, {\rm Li}_2\left(a x^{2}\right) - 2 \, \log\left(-a x^{2} + 1\right)}{9 \, x^{3}}"," ",0,"-2/9*a^(3/2)*log((a*x - sqrt(a))/(a*x + sqrt(a))) - 1/9*(4*a*x^2 + 3*dilog(a*x^2) - 2*log(-a*x^2 + 1))/x^3","A",0
31,1,65,0,0.411455," ","integrate(polylog(2,a*x^2)/x^6,x, algorithm=""maxima"")","-\frac{2}{25} \, a^{\frac{5}{2}} \log\left(\frac{a x - \sqrt{a}}{a x + \sqrt{a}}\right) - \frac{12 \, a^{2} x^{4} + 4 \, a x^{2} + 15 \, {\rm Li}_2\left(a x^{2}\right) - 6 \, \log\left(-a x^{2} + 1\right)}{75 \, x^{5}}"," ",0,"-2/25*a^(5/2)*log((a*x - sqrt(a))/(a*x + sqrt(a))) - 1/75*(12*a^2*x^4 + 4*a*x^2 + 15*dilog(a*x^2) - 6*log(-a*x^2 + 1))/x^5","A",0
32,1,77,0,0.319191," ","integrate(x^5*polylog(3,a*x^2),x, algorithm=""maxima"")","-\frac{18 \, a^{3} x^{6} {\rm Li}_2\left(a x^{2}\right) - 54 \, a^{3} x^{6} {\rm Li}_{3}(a x^{2}) - 2 \, a^{3} x^{6} - 3 \, a^{2} x^{4} - 6 \, a x^{2} + 6 \, {\left(a^{3} x^{6} - 1\right)} \log\left(-a x^{2} + 1\right)}{324 \, a^{3}}"," ",0,"-1/324*(18*a^3*x^6*dilog(a*x^2) - 54*a^3*x^6*polylog(3, a*x^2) - 2*a^3*x^6 - 3*a^2*x^4 - 6*a*x^2 + 6*(a^3*x^6 - 1)*log(-a*x^2 + 1))/a^3","A",0
33,1,69,0,0.323340," ","integrate(x^3*polylog(3,a*x^2),x, algorithm=""maxima"")","-\frac{4 \, a^{2} x^{4} {\rm Li}_2\left(a x^{2}\right) - 8 \, a^{2} x^{4} {\rm Li}_{3}(a x^{2}) - a^{2} x^{4} - 2 \, a x^{2} + 2 \, {\left(a^{2} x^{4} - 1\right)} \log\left(-a x^{2} + 1\right)}{32 \, a^{2}}"," ",0,"-1/32*(4*a^2*x^4*dilog(a*x^2) - 8*a^2*x^4*polylog(3, a*x^2) - a^2*x^4 - 2*a*x^2 + 2*(a^2*x^4 - 1)*log(-a*x^2 + 1))/a^2","A",0
34,1,53,0,0.322316," ","integrate(x*polylog(3,a*x^2),x, algorithm=""maxima"")","-\frac{a x^{2} {\rm Li}_2\left(a x^{2}\right) - a x^{2} {\rm Li}_{3}(a x^{2}) - a x^{2} + {\left(a x^{2} - 1\right)} \log\left(-a x^{2} + 1\right)}{2 \, a}"," ",0,"-1/2*(a*x^2*dilog(a*x^2) - a*x^2*polylog(3, a*x^2) - a*x^2 + (a*x^2 - 1)*log(-a*x^2 + 1))/a","A",0
35,0,0,0,0.000000," ","integrate(polylog(3,a*x^2)/x,x, algorithm=""maxima"")","\int \frac{{\rm Li}_{3}(a x^{2})}{x}\,{d x}"," ",0,"integrate(polylog(3, a*x^2)/x, x)","F",0
36,1,41,0,0.334916," ","integrate(polylog(3,a*x^2)/x^3,x, algorithm=""maxima"")","a \log\left(x\right) - \frac{{\left(a x^{2} - 1\right)} \log\left(-a x^{2} + 1\right) + {\rm Li}_2\left(a x^{2}\right) + {\rm Li}_{3}(a x^{2})}{2 \, x^{2}}"," ",0,"a*log(x) - 1/2*((a*x^2 - 1)*log(-a*x^2 + 1) + dilog(a*x^2) + polylog(3, a*x^2))/x^2","A",0
37,1,55,0,0.339056," ","integrate(polylog(3,a*x^2)/x^5,x, algorithm=""maxima"")","\frac{1}{8} \, a^{2} \log\left(x\right) - \frac{a x^{2} + {\left(a^{2} x^{4} - 1\right)} \log\left(-a x^{2} + 1\right) + 2 \, {\rm Li}_2\left(a x^{2}\right) + 4 \, {\rm Li}_{3}(a x^{2})}{16 \, x^{4}}"," ",0,"1/8*a^2*log(x) - 1/16*(a*x^2 + (a^2*x^4 - 1)*log(-a*x^2 + 1) + 2*dilog(a*x^2) + 4*polylog(3, a*x^2))/x^4","A",0
38,1,64,0,0.336849," ","integrate(polylog(3,a*x^2)/x^7,x, algorithm=""maxima"")","\frac{1}{27} \, a^{3} \log\left(x\right) - \frac{2 \, a^{2} x^{4} + a x^{2} + 2 \, {\left(a^{3} x^{6} - 1\right)} \log\left(-a x^{2} + 1\right) + 6 \, {\rm Li}_2\left(a x^{2}\right) + 18 \, {\rm Li}_{3}(a x^{2})}{108 \, x^{6}}"," ",0,"1/27*a^3*log(x) - 1/108*(2*a^2*x^4 + a*x^2 + 2*(a^3*x^6 - 1)*log(-a*x^2 + 1) + 6*dilog(a*x^2) + 18*polylog(3, a*x^2))/x^6","A",0
39,1,95,0,0.414462," ","integrate(x^4*polylog(3,a*x^2),x, algorithm=""maxima"")","-\frac{150 \, a^{2} x^{5} {\rm Li}_2\left(a x^{2}\right) + 60 \, a^{2} x^{5} \log\left(-a x^{2} + 1\right) - 375 \, a^{2} x^{5} {\rm Li}_{3}(a x^{2}) - 24 \, a^{2} x^{5} - 40 \, a x^{3} - 120 \, x}{1875 \, a^{2}} + \frac{4 \, \log\left(\frac{a x - \sqrt{a}}{a x + \sqrt{a}}\right)}{125 \, a^{\frac{5}{2}}}"," ",0,"-1/1875*(150*a^2*x^5*dilog(a*x^2) + 60*a^2*x^5*log(-a*x^2 + 1) - 375*a^2*x^5*polylog(3, a*x^2) - 24*a^2*x^5 - 40*a*x^3 - 120*x)/a^2 + 4/125*log((a*x - sqrt(a))/(a*x + sqrt(a)))/a^(5/2)","A",0
40,1,81,0,0.416251," ","integrate(x^2*polylog(3,a*x^2),x, algorithm=""maxima"")","-\frac{18 \, a x^{3} {\rm Li}_2\left(a x^{2}\right) + 12 \, a x^{3} \log\left(-a x^{2} + 1\right) - 27 \, a x^{3} {\rm Li}_{3}(a x^{2}) - 8 \, a x^{3} - 24 \, x}{81 \, a} + \frac{4 \, \log\left(\frac{a x - \sqrt{a}}{a x + \sqrt{a}}\right)}{27 \, a^{\frac{3}{2}}}"," ",0,"-1/81*(18*a*x^3*dilog(a*x^2) + 12*a*x^3*log(-a*x^2 + 1) - 27*a*x^3*polylog(3, a*x^2) - 8*a*x^3 - 24*x)/a + 4/27*log((a*x - sqrt(a))/(a*x + sqrt(a)))/a^(3/2)","A",0
41,1,59,0,0.413612," ","integrate(polylog(3,a*x^2),x, algorithm=""maxima"")","-2 \, x {\rm Li}_2\left(a x^{2}\right) - 4 \, x \log\left(-a x^{2} + 1\right) + x {\rm Li}_{3}(a x^{2}) + 8 \, x + \frac{4 \, \log\left(\frac{a x - \sqrt{a}}{a x + \sqrt{a}}\right)}{\sqrt{a}}"," ",0,"-2*x*dilog(a*x^2) - 4*x*log(-a*x^2 + 1) + x*polylog(3, a*x^2) + 8*x + 4*log((a*x - sqrt(a))/(a*x + sqrt(a)))/sqrt(a)","A",0
42,1,58,0,0.411733," ","integrate(polylog(3,a*x^2)/x^2,x, algorithm=""maxima"")","-4 \, \sqrt{a} \log\left(\frac{a x - \sqrt{a}}{a x + \sqrt{a}}\right) - \frac{2 \, {\rm Li}_2\left(a x^{2}\right) - 4 \, \log\left(-a x^{2} + 1\right) + {\rm Li}_{3}(a x^{2})}{x}"," ",0,"-4*sqrt(a)*log((a*x - sqrt(a))/(a*x + sqrt(a))) - (2*dilog(a*x^2) - 4*log(-a*x^2 + 1) + polylog(3, a*x^2))/x","A",0
43,1,66,0,0.413388," ","integrate(polylog(3,a*x^2)/x^4,x, algorithm=""maxima"")","-\frac{4}{27} \, a^{\frac{3}{2}} \log\left(\frac{a x - \sqrt{a}}{a x + \sqrt{a}}\right) - \frac{8 \, a x^{2} + 6 \, {\rm Li}_2\left(a x^{2}\right) - 4 \, \log\left(-a x^{2} + 1\right) + 9 \, {\rm Li}_{3}(a x^{2})}{27 \, x^{3}}"," ",0,"-4/27*a^(3/2)*log((a*x - sqrt(a))/(a*x + sqrt(a))) - 1/27*(8*a*x^2 + 6*dilog(a*x^2) - 4*log(-a*x^2 + 1) + 9*polylog(3, a*x^2))/x^3","A",0
44,1,74,0,1.128285," ","integrate(polylog(3,a*x^2)/x^6,x, algorithm=""maxima"")","-\frac{4}{125} \, a^{\frac{5}{2}} \log\left(\frac{a x - \sqrt{a}}{a x + \sqrt{a}}\right) - \frac{24 \, a^{2} x^{4} + 8 \, a x^{2} + 30 \, {\rm Li}_2\left(a x^{2}\right) - 12 \, \log\left(-a x^{2} + 1\right) + 75 \, {\rm Li}_{3}(a x^{2})}{375 \, x^{5}}"," ",0,"-4/125*a^(5/2)*log((a*x - sqrt(a))/(a*x + sqrt(a))) - 1/375*(24*a^2*x^4 + 8*a*x^2 + 30*dilog(a*x^2) - 12*log(-a*x^2 + 1) + 75*polylog(3, a*x^2))/x^5","A",0
45,0,0,0,0.000000," ","integrate(x^2*polylog(2,a*x^q),x, algorithm=""maxima"")","-\frac{1}{27} \, q^{2} x^{3} + \frac{1}{9} \, q x^{3} \log\left(-a x^{q} + 1\right) + \frac{1}{3} \, x^{3} {\rm Li}_2\left(a x^{q}\right) - q^{2} \int \frac{x^{2}}{9 \, {\left(a x^{q} - 1\right)}}\,{d x}"," ",0,"-1/27*q^2*x^3 + 1/9*q*x^3*log(-a*x^q + 1) + 1/3*x^3*dilog(a*x^q) - q^2*integrate(1/9*x^2/(a*x^q - 1), x)","F",0
46,0,0,0,0.000000," ","integrate(x*polylog(2,a*x^q),x, algorithm=""maxima"")","-\frac{1}{8} \, q^{2} x^{2} + \frac{1}{4} \, q x^{2} \log\left(-a x^{q} + 1\right) + \frac{1}{2} \, x^{2} {\rm Li}_2\left(a x^{q}\right) - q^{2} \int \frac{x}{4 \, {\left(a x^{q} - 1\right)}}\,{d x}"," ",0,"-1/8*q^2*x^2 + 1/4*q*x^2*log(-a*x^q + 1) + 1/2*x^2*dilog(a*x^q) - q^2*integrate(1/4*x/(a*x^q - 1), x)","F",0
47,0,0,0,0.000000," ","integrate(polylog(2,a*x^q),x, algorithm=""maxima"")","-q^{2} x - q^{2} \int \frac{1}{a x^{q} - 1}\,{d x} + q x \log\left(-a x^{q} + 1\right) + x {\rm Li}_2\left(a x^{q}\right)"," ",0,"-q^2*x - q^2*integrate(1/(a*x^q - 1), x) + q*x*log(-a*x^q + 1) + x*dilog(a*x^q)","F",0
48,0,0,0,0.000000," ","integrate(polylog(2,a*x^q)/x,x, algorithm=""maxima"")","-\frac{1}{6} \, q^{2} \log\left(x\right)^{3} + \frac{1}{2} \, q \log\left(-a x^{q} + 1\right) \log\left(x\right)^{2} - q^{2} \int \frac{\log\left(x\right)^{2}}{2 \, {\left(a x x^{q} - x\right)}}\,{d x} + {\rm Li}_2\left(a x^{q}\right) \log\left(x\right)"," ",0,"-1/6*q^2*log(x)^3 + 1/2*q*log(-a*x^q + 1)*log(x)^2 - q^2*integrate(1/2*log(x)^2/(a*x*x^q - x), x) + dilog(a*x^q)*log(x)","F",0
49,0,0,0,0.000000," ","integrate(polylog(2,a*x^q)/x^2,x, algorithm=""maxima"")","-q^{2} \int \frac{1}{a x^{2} x^{q} - x^{2}}\,{d x} + \frac{q^{2} + q \log\left(-a x^{q} + 1\right) - {\rm Li}_2\left(a x^{q}\right)}{x}"," ",0,"-q^2*integrate(1/(a*x^2*x^q - x^2), x) + (q^2 + q*log(-a*x^q + 1) - dilog(a*x^q))/x","F",0
50,0,0,0,0.000000," ","integrate(polylog(2,a*x^q)/x^3,x, algorithm=""maxima"")","-q^{2} \int \frac{1}{4 \, {\left(a x^{3} x^{q} - x^{3}\right)}}\,{d x} + \frac{q^{2} + 2 \, q \log\left(-a x^{q} + 1\right) - 4 \, {\rm Li}_2\left(a x^{q}\right)}{8 \, x^{2}}"," ",0,"-q^2*integrate(1/4/(a*x^3*x^q - x^3), x) + 1/8*(q^2 + 2*q*log(-a*x^q + 1) - 4*dilog(a*x^q))/x^2","F",0
51,0,0,0,0.000000," ","integrate(polylog(2,a*x^q)/x^4,x, algorithm=""maxima"")","-q^{2} \int \frac{1}{9 \, {\left(a x^{4} x^{q} - x^{4}\right)}}\,{d x} + \frac{q^{2} + 3 \, q \log\left(-a x^{q} + 1\right) - 9 \, {\rm Li}_2\left(a x^{q}\right)}{27 \, x^{3}}"," ",0,"-q^2*integrate(1/9/(a*x^4*x^q - x^4), x) + 1/27*(q^2 + 3*q*log(-a*x^q + 1) - 9*dilog(a*x^q))/x^3","F",0
52,0,0,0,0.000000," ","integrate(x^2*polylog(3,a*x^q),x, algorithm=""maxima"")","\frac{1}{81} \, q^{3} x^{3} - \frac{1}{27} \, q^{2} x^{3} \log\left(-a x^{q} + 1\right) - \frac{1}{9} \, q x^{3} {\rm Li}_2\left(a x^{q}\right) + q^{3} \int \frac{x^{2}}{27 \, {\left(a x^{q} - 1\right)}}\,{d x} + \frac{1}{3} \, x^{3} {\rm Li}_{3}(a x^{q})"," ",0,"1/81*q^3*x^3 - 1/27*q^2*x^3*log(-a*x^q + 1) - 1/9*q*x^3*dilog(a*x^q) + q^3*integrate(1/27*x^2/(a*x^q - 1), x) + 1/3*x^3*polylog(3, a*x^q)","F",0
53,0,0,0,0.000000," ","integrate(x*polylog(3,a*x^q),x, algorithm=""maxima"")","\frac{1}{16} \, q^{3} x^{2} - \frac{1}{8} \, q^{2} x^{2} \log\left(-a x^{q} + 1\right) - \frac{1}{4} \, q x^{2} {\rm Li}_2\left(a x^{q}\right) + q^{3} \int \frac{x}{8 \, {\left(a x^{q} - 1\right)}}\,{d x} + \frac{1}{2} \, x^{2} {\rm Li}_{3}(a x^{q})"," ",0,"1/16*q^3*x^2 - 1/8*q^2*x^2*log(-a*x^q + 1) - 1/4*q*x^2*dilog(a*x^q) + q^3*integrate(1/8*x/(a*x^q - 1), x) + 1/2*x^2*polylog(3, a*x^q)","F",0
54,0,0,0,0.000000," ","integrate(polylog(3,a*x^q),x, algorithm=""maxima"")","q^{3} x + q^{3} \int \frac{1}{a x^{q} - 1}\,{d x} - q^{2} x \log\left(-a x^{q} + 1\right) - q x {\rm Li}_2\left(a x^{q}\right) + x {\rm Li}_{3}(a x^{q})"," ",0,"q^3*x + q^3*integrate(1/(a*x^q - 1), x) - q^2*x*log(-a*x^q + 1) - q*x*dilog(a*x^q) + x*polylog(3, a*x^q)","F",0
55,0,0,0,0.000000," ","integrate(polylog(3,a*x^q)/x,x, algorithm=""maxima"")","\frac{1}{24} \, q^{3} \log\left(x\right)^{4} - \frac{1}{6} \, q^{2} \log\left(-a x^{q} + 1\right) \log\left(x\right)^{3} + q^{3} \int \frac{\log\left(x\right)^{3}}{6 \, {\left(a x x^{q} - x\right)}}\,{d x} - \frac{1}{2} \, q {\rm Li}_2\left(a x^{q}\right) \log\left(x\right)^{2} + \log\left(x\right) {\rm Li}_{3}(a x^{q})"," ",0,"1/24*q^3*log(x)^4 - 1/6*q^2*log(-a*x^q + 1)*log(x)^3 + q^3*integrate(1/6*log(x)^3/(a*x*x^q - x), x) - 1/2*q*dilog(a*x^q)*log(x)^2 + log(x)*polylog(3, a*x^q)","F",0
56,0,0,0,0.000000," ","integrate(polylog(3,a*x^q)/x^2,x, algorithm=""maxima"")","-q^{3} \int \frac{1}{a x^{2} x^{q} - x^{2}}\,{d x} + \frac{q^{3} + q^{2} \log\left(-a x^{q} + 1\right) - q {\rm Li}_2\left(a x^{q}\right) - {\rm Li}_{3}(a x^{q})}{x}"," ",0,"-q^3*integrate(1/(a*x^2*x^q - x^2), x) + (q^3 + q^2*log(-a*x^q + 1) - q*dilog(a*x^q) - polylog(3, a*x^q))/x","F",0
57,0,0,0,0.000000," ","integrate(polylog(3,a*x^q)/x^3,x, algorithm=""maxima"")","-q^{3} \int \frac{1}{8 \, {\left(a x^{3} x^{q} - x^{3}\right)}}\,{d x} + \frac{q^{3} + 2 \, q^{2} \log\left(-a x^{q} + 1\right) - 4 \, q {\rm Li}_2\left(a x^{q}\right) - 8 \, {\rm Li}_{3}(a x^{q})}{16 \, x^{2}}"," ",0,"-q^3*integrate(1/8/(a*x^3*x^q - x^3), x) + 1/16*(q^3 + 2*q^2*log(-a*x^q + 1) - 4*q*dilog(a*x^q) - 8*polylog(3, a*x^q))/x^2","F",0
58,0,0,0,0.000000," ","integrate(polylog(3,a*x^q)/x^4,x, algorithm=""maxima"")","-q^{3} \int \frac{1}{27 \, {\left(a x^{4} x^{q} - x^{4}\right)}}\,{d x} + \frac{q^{3} + 3 \, q^{2} \log\left(-a x^{q} + 1\right) - 9 \, q {\rm Li}_2\left(a x^{q}\right) - 27 \, {\rm Li}_{3}(a x^{q})}{81 \, x^{3}}"," ",0,"-q^3*integrate(1/27/(a*x^4*x^q - x^4), x) + 1/81*(q^3 + 3*q^2*log(-a*x^q + 1) - 9*q*dilog(a*x^q) - 27*polylog(3, a*x^q))/x^3","F",0
59,1,128,0,1.076479," ","integrate((d*x)^(3/2)*polylog(2,a*x),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{30 \, d^{3} \log\left(\frac{\sqrt{d x} a - \sqrt{a d}}{\sqrt{d x} a + \sqrt{a d}}\right)}{\sqrt{a d} a^{2}} - \frac{75 \, \left(d x\right)^{\frac{5}{2}} a^{2} {\rm Li}_2\left(a x\right) + 30 \, \left(d x\right)^{\frac{5}{2}} a^{2} \log\left(-a d x + d\right) - 6 \, {\left(5 \, a^{2} \log\left(d\right) + 2 \, a^{2}\right)} \left(d x\right)^{\frac{5}{2}} - 20 \, \left(d x\right)^{\frac{3}{2}} a d - 60 \, \sqrt{d x} d^{2}}{a^{2}}\right)}}{375 \, d}"," ",0,"-2/375*(30*d^3*log((sqrt(d*x)*a - sqrt(a*d))/(sqrt(d*x)*a + sqrt(a*d)))/(sqrt(a*d)*a^2) - (75*(d*x)^(5/2)*a^2*dilog(a*x) + 30*(d*x)^(5/2)*a^2*log(-a*d*x + d) - 6*(5*a^2*log(d) + 2*a^2)*(d*x)^(5/2) - 20*(d*x)^(3/2)*a*d - 60*sqrt(d*x)*d^2)/a^2)/d","A",0
60,1,109,0,1.586684," ","integrate((d*x)^(1/2)*polylog(2,a*x),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{6 \, d^{2} \log\left(\frac{\sqrt{d x} a - \sqrt{a d}}{\sqrt{d x} a + \sqrt{a d}}\right)}{\sqrt{a d} a} - \frac{9 \, \left(d x\right)^{\frac{3}{2}} a {\rm Li}_2\left(a x\right) + 6 \, \left(d x\right)^{\frac{3}{2}} a \log\left(-a d x + d\right) - 2 \, \left(d x\right)^{\frac{3}{2}} {\left(3 \, a \log\left(d\right) + 2 \, a\right)} - 12 \, \sqrt{d x} d}{a}\right)}}{27 \, d}"," ",0,"-2/27*(6*d^2*log((sqrt(d*x)*a - sqrt(a*d))/(sqrt(d*x)*a + sqrt(a*d)))/(sqrt(a*d)*a) - (9*(d*x)^(3/2)*a*dilog(a*x) + 6*(d*x)^(3/2)*a*log(-a*d*x + d) - 2*(d*x)^(3/2)*(3*a*log(d) + 2*a) - 12*sqrt(d*x)*d)/a)/d","A",0
61,1,83,0,0.414343," ","integrate(polylog(2,a*x)/(d*x)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(2 \, \sqrt{d x} {\left(\log\left(d\right) + 2\right)} - \sqrt{d x} {\rm Li}_2\left(a x\right) - 2 \, \sqrt{d x} \log\left(-a d x + d\right) + \frac{2 \, d \log\left(\frac{\sqrt{d x} a - \sqrt{a d}}{\sqrt{d x} a + \sqrt{a d}}\right)}{\sqrt{a d}}\right)}}{d}"," ",0,"-2*(2*sqrt(d*x)*(log(d) + 2) - sqrt(d*x)*dilog(a*x) - 2*sqrt(d*x)*log(-a*d*x + d) + 2*d*log((sqrt(d*x)*a - sqrt(a*d))/(sqrt(d*x)*a + sqrt(a*d)))/sqrt(a*d))/d","A",0
62,1,71,0,0.503334," ","integrate(polylog(2,a*x)/(d*x)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{2 \, a \log\left(\frac{\sqrt{d x} a - \sqrt{a d}}{\sqrt{d x} a + \sqrt{a d}}\right)}{\sqrt{a d}} + \frac{{\rm Li}_2\left(a x\right) - 2 \, \log\left(-a d x + d\right) + 2 \, \log\left(d\right)}{\sqrt{d x}}\right)}}{d}"," ",0,"-2*(2*a*log((sqrt(d*x)*a - sqrt(a*d))/(sqrt(d*x)*a + sqrt(a*d)))/sqrt(a*d) + (dilog(a*x) - 2*log(-a*d*x + d) + 2*log(d))/sqrt(d*x))/d","A",0
63,1,89,0,1.079931," ","integrate(polylog(2,a*x)/(d*x)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{2 \, a^{2} \log\left(\frac{\sqrt{d x} a - \sqrt{a d}}{\sqrt{d x} a + \sqrt{a d}}\right)}{\sqrt{a d} d} + \frac{4 \, a d x + 3 \, d {\rm Li}_2\left(a x\right) - 2 \, d \log\left(-a d x + d\right) + 2 \, d \log\left(d\right)}{\left(d x\right)^{\frac{3}{2}} d}\right)}}{9 \, d}"," ",0,"-2/9*(2*a^2*log((sqrt(d*x)*a - sqrt(a*d))/(sqrt(d*x)*a + sqrt(a*d)))/(sqrt(a*d)*d) + (4*a*d*x + 3*d*dilog(a*x) - 2*d*log(-a*d*x + d) + 2*d*log(d))/((d*x)^(3/2)*d))/d","A",0
64,1,108,0,1.179210," ","integrate(polylog(2,a*x)/(d*x)^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{6 \, a^{3} \log\left(\frac{\sqrt{d x} a - \sqrt{a d}}{\sqrt{d x} a + \sqrt{a d}}\right)}{\sqrt{a d} d^{2}} + \frac{12 \, a^{2} d^{2} x^{2} + 4 \, a d^{2} x + 15 \, d^{2} {\rm Li}_2\left(a x\right) - 6 \, d^{2} \log\left(-a d x + d\right) + 6 \, d^{2} \log\left(d\right)}{\left(d x\right)^{\frac{5}{2}} d^{2}}\right)}}{75 \, d}"," ",0,"-2/75*(6*a^3*log((sqrt(d*x)*a - sqrt(a*d))/(sqrt(d*x)*a + sqrt(a*d)))/(sqrt(a*d)*d^2) + (12*a^2*d^2*x^2 + 4*a*d^2*x + 15*d^2*dilog(a*x) - 6*d^2*log(-a*d*x + d) + 6*d^2*log(d))/((d*x)^(5/2)*d^2))/d","A",0
65,1,156,0,0.669581," ","integrate((d*x)^(5/2)*polylog(3,a*x),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{420 \, d^{4} \log\left(\frac{\sqrt{d x} a - \sqrt{a d}}{\sqrt{d x} a + \sqrt{a d}}\right)}{\sqrt{a d} a^{3}} - \frac{1470 \, \left(d x\right)^{\frac{7}{2}} a^{3} {\rm Li}_2\left(a x\right) + 420 \, \left(d x\right)^{\frac{7}{2}} a^{3} \log\left(-a d x + d\right) - 5145 \, \left(d x\right)^{\frac{7}{2}} a^{3} {\rm Li}_{3}(a x) - 168 \, \left(d x\right)^{\frac{5}{2}} a^{2} d - 60 \, {\left(7 \, a^{3} \log\left(d\right) + 2 \, a^{3}\right)} \left(d x\right)^{\frac{7}{2}} - 280 \, \left(d x\right)^{\frac{3}{2}} a d^{2} - 840 \, \sqrt{d x} d^{3}}{a^{3}}\right)}}{36015 \, d}"," ",0,"2/36015*(420*d^4*log((sqrt(d*x)*a - sqrt(a*d))/(sqrt(d*x)*a + sqrt(a*d)))/(sqrt(a*d)*a^3) - (1470*(d*x)^(7/2)*a^3*dilog(a*x) + 420*(d*x)^(7/2)*a^3*log(-a*d*x + d) - 5145*(d*x)^(7/2)*a^3*polylog(3, a*x) - 168*(d*x)^(5/2)*a^2*d - 60*(7*a^3*log(d) + 2*a^3)*(d*x)^(7/2) - 280*(d*x)^(3/2)*a*d^2 - 840*sqrt(d*x)*d^3)/a^3)/d","A",0
66,1,143,0,0.647234," ","integrate((d*x)^(3/2)*polylog(3,a*x),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{60 \, d^{3} \log\left(\frac{\sqrt{d x} a - \sqrt{a d}}{\sqrt{d x} a + \sqrt{a d}}\right)}{\sqrt{a d} a^{2}} - \frac{150 \, \left(d x\right)^{\frac{5}{2}} a^{2} {\rm Li}_2\left(a x\right) + 60 \, \left(d x\right)^{\frac{5}{2}} a^{2} \log\left(-a d x + d\right) - 375 \, \left(d x\right)^{\frac{5}{2}} a^{2} {\rm Li}_{3}(a x) - 12 \, {\left(5 \, a^{2} \log\left(d\right) + 2 \, a^{2}\right)} \left(d x\right)^{\frac{5}{2}} - 40 \, \left(d x\right)^{\frac{3}{2}} a d - 120 \, \sqrt{d x} d^{2}}{a^{2}}\right)}}{1875 \, d}"," ",0,"2/1875*(60*d^3*log((sqrt(d*x)*a - sqrt(a*d))/(sqrt(d*x)*a + sqrt(a*d)))/(sqrt(a*d)*a^2) - (150*(d*x)^(5/2)*a^2*dilog(a*x) + 60*(d*x)^(5/2)*a^2*log(-a*d*x + d) - 375*(d*x)^(5/2)*a^2*polylog(3, a*x) - 12*(5*a^2*log(d) + 2*a^2)*(d*x)^(5/2) - 40*(d*x)^(3/2)*a*d - 120*sqrt(d*x)*d^2)/a^2)/d","A",0
67,1,122,0,2.058702," ","integrate((d*x)^(1/2)*polylog(3,a*x),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{12 \, d^{2} \log\left(\frac{\sqrt{d x} a - \sqrt{a d}}{\sqrt{d x} a + \sqrt{a d}}\right)}{\sqrt{a d} a} - \frac{18 \, \left(d x\right)^{\frac{3}{2}} a {\rm Li}_2\left(a x\right) + 12 \, \left(d x\right)^{\frac{3}{2}} a \log\left(-a d x + d\right) - 27 \, \left(d x\right)^{\frac{3}{2}} a {\rm Li}_{3}(a x) - 4 \, \left(d x\right)^{\frac{3}{2}} {\left(3 \, a \log\left(d\right) + 2 \, a\right)} - 24 \, \sqrt{d x} d}{a}\right)}}{81 \, d}"," ",0,"2/81*(12*d^2*log((sqrt(d*x)*a - sqrt(a*d))/(sqrt(d*x)*a + sqrt(a*d)))/(sqrt(a*d)*a) - (18*(d*x)^(3/2)*a*dilog(a*x) + 12*(d*x)^(3/2)*a*log(-a*d*x + d) - 27*(d*x)^(3/2)*a*polylog(3, a*x) - 4*(d*x)^(3/2)*(3*a*log(d) + 2*a) - 24*sqrt(d*x)*d)/a)/d","A",0
68,1,94,0,0.490753," ","integrate(polylog(3,a*x)/(d*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(4 \, \sqrt{d x} {\left(\log\left(d\right) + 2\right)} - 2 \, \sqrt{d x} {\rm Li}_2\left(a x\right) - 4 \, \sqrt{d x} \log\left(-a d x + d\right) + \frac{4 \, d \log\left(\frac{\sqrt{d x} a - \sqrt{a d}}{\sqrt{d x} a + \sqrt{a d}}\right)}{\sqrt{a d}} + \sqrt{d x} {\rm Li}_{3}(a x)\right)}}{d}"," ",0,"2*(4*sqrt(d*x)*(log(d) + 2) - 2*sqrt(d*x)*dilog(a*x) - 4*sqrt(d*x)*log(-a*d*x + d) + 4*d*log((sqrt(d*x)*a - sqrt(a*d))/(sqrt(d*x)*a + sqrt(a*d)))/sqrt(a*d) + sqrt(d*x)*polylog(3, a*x))/d","A",0
69,1,78,0,0.617071," ","integrate(polylog(3,a*x)/(d*x)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{4 \, a \log\left(\frac{\sqrt{d x} a - \sqrt{a d}}{\sqrt{d x} a + \sqrt{a d}}\right)}{\sqrt{a d}} + \frac{2 \, {\rm Li}_2\left(a x\right) - 4 \, \log\left(-a d x + d\right) + 4 \, \log\left(d\right) + {\rm Li}_{3}(a x)}{\sqrt{d x}}\right)}}{d}"," ",0,"-2*(4*a*log((sqrt(d*x)*a - sqrt(a*d))/(sqrt(d*x)*a + sqrt(a*d)))/sqrt(a*d) + (2*dilog(a*x) - 4*log(-a*d*x + d) + 4*log(d) + polylog(3, a*x))/sqrt(d*x))/d","A",0
70,1,97,0,0.478004," ","integrate(polylog(3,a*x)/(d*x)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{4 \, a^{2} \log\left(\frac{\sqrt{d x} a - \sqrt{a d}}{\sqrt{d x} a + \sqrt{a d}}\right)}{\sqrt{a d} d} + \frac{8 \, a d x + 6 \, d {\rm Li}_2\left(a x\right) - 4 \, d \log\left(-a d x + d\right) + 4 \, d \log\left(d\right) + 9 \, d {\rm Li}_{3}(a x)}{\left(d x\right)^{\frac{3}{2}} d}\right)}}{27 \, d}"," ",0,"-2/27*(4*a^2*log((sqrt(d*x)*a - sqrt(a*d))/(sqrt(d*x)*a + sqrt(a*d)))/(sqrt(a*d)*d) + (8*a*d*x + 6*d*dilog(a*x) - 4*d*log(-a*d*x + d) + 4*d*log(d) + 9*d*polylog(3, a*x))/((d*x)^(3/2)*d))/d","A",0
71,1,118,0,0.574836," ","integrate(polylog(3,a*x)/(d*x)^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{12 \, a^{3} \log\left(\frac{\sqrt{d x} a - \sqrt{a d}}{\sqrt{d x} a + \sqrt{a d}}\right)}{\sqrt{a d} d^{2}} + \frac{24 \, a^{2} d^{2} x^{2} + 8 \, a d^{2} x + 30 \, d^{2} {\rm Li}_2\left(a x\right) - 12 \, d^{2} \log\left(-a d x + d\right) + 12 \, d^{2} \log\left(d\right) + 75 \, d^{2} {\rm Li}_{3}(a x)}{\left(d x\right)^{\frac{5}{2}} d^{2}}\right)}}{375 \, d}"," ",0,"-2/375*(12*a^3*log((sqrt(d*x)*a - sqrt(a*d))/(sqrt(d*x)*a + sqrt(a*d)))/(sqrt(a*d)*d^2) + (24*a^2*d^2*x^2 + 8*a*d^2*x + 30*d^2*dilog(a*x) - 12*d^2*log(-a*d*x + d) + 12*d^2*log(d) + 75*d^2*polylog(3, a*x))/((d*x)^(5/2)*d^2))/d","A",0
72,1,160,0,0.448609," ","integrate((d*x)^(3/2)*polylog(2,a*x^2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{25 \, \left(d x\right)^{\frac{5}{2}} a {\rm Li}_2\left(a x^{2}\right) + 20 \, \left(d x\right)^{\frac{5}{2}} a \log\left(-a d^{2} x^{2} + d^{2}\right) - 8 \, \left(d x\right)^{\frac{5}{2}} {\left(5 \, a \log\left(d\right) + 2 \, a\right)} - 80 \, \sqrt{d x} d^{2}}{a} + \frac{20 \, {\left(\frac{2 \, d^{3} \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d}} - \frac{d^{3} \log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d}}\right)}}{a}\right)}}{125 \, d}"," ",0,"2/125*((25*(d*x)^(5/2)*a*dilog(a*x^2) + 20*(d*x)^(5/2)*a*log(-a*d^2*x^2 + d^2) - 8*(d*x)^(5/2)*(5*a*log(d) + 2*a) - 80*sqrt(d*x)*d^2)/a + 20*(2*d^3*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/sqrt(sqrt(a)*d) - d^3*log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/sqrt(sqrt(a)*d))/a)/d","A",0
73,1,139,0,1.059041," ","integrate((d*x)^(1/2)*polylog(2,a*x^2),x, algorithm=""maxima"")","-\frac{2 \, {\left(12 \, d^{2} {\left(\frac{2 \, \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}} + \frac{\log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}}\right)} + 8 \, \left(d x\right)^{\frac{3}{2}} {\left(3 \, \log\left(d\right) + 2\right)} - 9 \, \left(d x\right)^{\frac{3}{2}} {\rm Li}_2\left(a x^{2}\right) - 12 \, \left(d x\right)^{\frac{3}{2}} \log\left(-a d^{2} x^{2} + d^{2}\right)\right)}}{27 \, d}"," ",0,"-2/27*(12*d^2*(2*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/(sqrt(sqrt(a)*d)*sqrt(a)) + log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/(sqrt(sqrt(a)*d)*sqrt(a))) + 8*(d*x)^(3/2)*(3*log(d) + 2) - 9*(d*x)^(3/2)*dilog(a*x^2) - 12*(d*x)^(3/2)*log(-a*d^2*x^2 + d^2))/d","A",0
74,1,128,0,1.362533," ","integrate(polylog(2,a*x^2)/(d*x)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(8 \, \sqrt{d x} {\left(\log\left(d\right) + 2\right)} - \frac{8 \, d \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d}} - \sqrt{d x} {\rm Li}_2\left(a x^{2}\right) - 4 \, \sqrt{d x} \log\left(-a d^{2} x^{2} + d^{2}\right) + \frac{4 \, d \log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d}}\right)}}{d}"," ",0,"-2*(8*sqrt(d*x)*(log(d) + 2) - 8*d*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/sqrt(sqrt(a)*d) - sqrt(d*x)*dilog(a*x^2) - 4*sqrt(d*x)*log(-a*d^2*x^2 + d^2) + 4*d*log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/sqrt(sqrt(a)*d))/d","A",0
75,1,123,0,1.080820," ","integrate(polylog(2,a*x^2)/(d*x)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(4 \, a {\left(\frac{2 \, \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}} + \frac{\log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}}\right)} + \frac{{\rm Li}_2\left(a x^{2}\right) - 4 \, \log\left(-a d^{2} x^{2} + d^{2}\right) + 8 \, \log\left(d\right)}{\sqrt{d x}}\right)}}{d}"," ",0,"-2*(4*a*(2*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/(sqrt(sqrt(a)*d)*sqrt(a)) + log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/(sqrt(sqrt(a)*d)*sqrt(a))) + (dilog(a*x^2) - 4*log(-a*d^2*x^2 + d^2) + 8*log(d))/sqrt(d*x))/d","A",0
76,1,125,0,1.075008," ","integrate(polylog(2,a*x^2)/(d*x)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{8 \, a \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} d} - \frac{4 \, a \log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} d} - \frac{3 \, {\rm Li}_2\left(a x^{2}\right) - 4 \, \log\left(-a d^{2} x^{2} + d^{2}\right) + 8 \, \log\left(d\right)}{\left(d x\right)^{\frac{3}{2}}}\right)}}{9 \, d}"," ",0,"2/9*(8*a*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/(sqrt(sqrt(a)*d)*d) - 4*a*log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/(sqrt(sqrt(a)*d)*d) - (3*dilog(a*x^2) - 4*log(-a*d^2*x^2 + d^2) + 8*log(d))/(d*x)^(3/2))/d","A",0
77,1,151,0,0.461888," ","integrate(polylog(2,a*x^2)/(d*x)^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{4 \, a^{2} {\left(\frac{2 \, \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}} + \frac{\log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}}\right)}}{d^{2}} + \frac{16 \, a d^{2} x^{2} + 5 \, d^{2} {\rm Li}_2\left(a x^{2}\right) - 4 \, d^{2} \log\left(-a d^{2} x^{2} + d^{2}\right) + 8 \, d^{2} \log\left(d\right)}{\left(d x\right)^{\frac{5}{2}} d^{2}}\right)}}{25 \, d}"," ",0,"-2/25*(4*a^2*(2*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/(sqrt(sqrt(a)*d)*sqrt(a)) + log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/(sqrt(sqrt(a)*d)*sqrt(a)))/d^2 + (16*a*d^2*x^2 + 5*d^2*dilog(a*x^2) - 4*d^2*log(-a*d^2*x^2 + d^2) + 8*d^2*log(d))/((d*x)^(5/2)*d^2))/d","A",0
78,1,178,0,0.413707," ","integrate((d*x)^(5/2)*polylog(3,a*x^2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{336 \, d^{4} {\left(\frac{2 \, \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}} + \frac{\log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}}\right)}}{a} - \frac{588 \, \left(d x\right)^{\frac{7}{2}} a {\rm Li}_2\left(a x^{2}\right) + 336 \, \left(d x\right)^{\frac{7}{2}} a \log\left(-a d^{2} x^{2} + d^{2}\right) - 1029 \, \left(d x\right)^{\frac{7}{2}} a {\rm Li}_{3}(a x^{2}) - 96 \, \left(d x\right)^{\frac{7}{2}} {\left(7 \, a \log\left(d\right) + 2 \, a\right)} - 448 \, \left(d x\right)^{\frac{3}{2}} d^{2}}{a}\right)}}{7203 \, d}"," ",0,"2/7203*(336*d^4*(2*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/(sqrt(sqrt(a)*d)*sqrt(a)) + log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/(sqrt(sqrt(a)*d)*sqrt(a)))/a - (588*(d*x)^(7/2)*a*dilog(a*x^2) + 336*(d*x)^(7/2)*a*log(-a*d^2*x^2 + d^2) - 1029*(d*x)^(7/2)*a*polylog(3, a*x^2) - 96*(d*x)^(7/2)*(7*a*log(d) + 2*a) - 448*(d*x)^(3/2)*d^2)/a)/d","A",0
79,1,175,0,1.348010," ","integrate((d*x)^(3/2)*polylog(3,a*x^2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{100 \, \left(d x\right)^{\frac{5}{2}} a {\rm Li}_2\left(a x^{2}\right) + 80 \, \left(d x\right)^{\frac{5}{2}} a \log\left(-a d^{2} x^{2} + d^{2}\right) - 125 \, \left(d x\right)^{\frac{5}{2}} a {\rm Li}_{3}(a x^{2}) - 32 \, \left(d x\right)^{\frac{5}{2}} {\left(5 \, a \log\left(d\right) + 2 \, a\right)} - 320 \, \sqrt{d x} d^{2}}{a} + \frac{80 \, {\left(\frac{2 \, d^{3} \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d}} - \frac{d^{3} \log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d}}\right)}}{a}\right)}}{625 \, d}"," ",0,"-2/625*((100*(d*x)^(5/2)*a*dilog(a*x^2) + 80*(d*x)^(5/2)*a*log(-a*d^2*x^2 + d^2) - 125*(d*x)^(5/2)*a*polylog(3, a*x^2) - 32*(d*x)^(5/2)*(5*a*log(d) + 2*a) - 320*sqrt(d*x)*d^2)/a + 80*(2*d^3*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/sqrt(sqrt(a)*d) - d^3*log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/sqrt(sqrt(a)*d))/a)/d","A",0
80,1,153,0,0.530056," ","integrate((d*x)^(1/2)*polylog(3,a*x^2),x, algorithm=""maxima"")","\frac{2 \, {\left(48 \, d^{2} {\left(\frac{2 \, \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}} + \frac{\log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}}\right)} + 32 \, \left(d x\right)^{\frac{3}{2}} {\left(3 \, \log\left(d\right) + 2\right)} - 36 \, \left(d x\right)^{\frac{3}{2}} {\rm Li}_2\left(a x^{2}\right) - 48 \, \left(d x\right)^{\frac{3}{2}} \log\left(-a d^{2} x^{2} + d^{2}\right) + 27 \, \left(d x\right)^{\frac{3}{2}} {\rm Li}_{3}(a x^{2})\right)}}{81 \, d}"," ",0,"2/81*(48*d^2*(2*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/(sqrt(sqrt(a)*d)*sqrt(a)) + log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/(sqrt(sqrt(a)*d)*sqrt(a))) + 32*(d*x)^(3/2)*(3*log(d) + 2) - 36*(d*x)^(3/2)*dilog(a*x^2) - 48*(d*x)^(3/2)*log(-a*d^2*x^2 + d^2) + 27*(d*x)^(3/2)*polylog(3, a*x^2))/d","A",0
81,1,141,0,1.197898," ","integrate(polylog(3,a*x^2)/(d*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(32 \, \sqrt{d x} {\left(\log\left(d\right) + 2\right)} - \frac{32 \, d \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d}} - 4 \, \sqrt{d x} {\rm Li}_2\left(a x^{2}\right) - 16 \, \sqrt{d x} \log\left(-a d^{2} x^{2} + d^{2}\right) + \frac{16 \, d \log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d}} + \sqrt{d x} {\rm Li}_{3}(a x^{2})\right)}}{d}"," ",0,"2*(32*sqrt(d*x)*(log(d) + 2) - 32*d*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/sqrt(sqrt(a)*d) - 4*sqrt(d*x)*dilog(a*x^2) - 16*sqrt(d*x)*log(-a*d^2*x^2 + d^2) + 16*d*log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/sqrt(sqrt(a)*d) + sqrt(d*x)*polylog(3, a*x^2))/d","A",0
82,1,132,0,1.415295," ","integrate(polylog(3,a*x^2)/(d*x)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(16 \, a {\left(\frac{2 \, \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}} + \frac{\log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}}\right)} + \frac{4 \, {\rm Li}_2\left(a x^{2}\right) - 16 \, \log\left(-a d^{2} x^{2} + d^{2}\right) + 32 \, \log\left(d\right) + {\rm Li}_{3}(a x^{2})}{\sqrt{d x}}\right)}}{d}"," ",0,"-2*(16*a*(2*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/(sqrt(sqrt(a)*d)*sqrt(a)) + log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/(sqrt(sqrt(a)*d)*sqrt(a))) + (4*dilog(a*x^2) - 16*log(-a*d^2*x^2 + d^2) + 32*log(d) + polylog(3, a*x^2))/sqrt(d*x))/d","A",0
83,1,134,0,0.551580," ","integrate(polylog(3,a*x^2)/(d*x)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{32 \, a \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} d} - \frac{16 \, a \log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} d} - \frac{12 \, {\rm Li}_2\left(a x^{2}\right) - 16 \, \log\left(-a d^{2} x^{2} + d^{2}\right) + 32 \, \log\left(d\right) + 9 \, {\rm Li}_{3}(a x^{2})}{\left(d x\right)^{\frac{3}{2}}}\right)}}{27 \, d}"," ",0,"2/27*(32*a*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/(sqrt(sqrt(a)*d)*d) - 16*a*log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/(sqrt(sqrt(a)*d)*d) - (12*dilog(a*x^2) - 16*log(-a*d^2*x^2 + d^2) + 32*log(d) + 9*polylog(3, a*x^2))/(d*x)^(3/2))/d","A",0
84,1,163,0,0.491096," ","integrate(polylog(3,a*x^2)/(d*x)^(7/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{16 \, a^{2} {\left(\frac{2 \, \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}} + \frac{\log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} \sqrt{a}}\right)}}{d^{2}} + \frac{64 \, a d^{2} x^{2} + 20 \, d^{2} {\rm Li}_2\left(a x^{2}\right) - 16 \, d^{2} \log\left(-a d^{2} x^{2} + d^{2}\right) + 32 \, d^{2} \log\left(d\right) + 25 \, d^{2} {\rm Li}_{3}(a x^{2})}{\left(d x\right)^{\frac{5}{2}} d^{2}}\right)}}{125 \, d}"," ",0,"-2/125*(16*a^2*(2*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/(sqrt(sqrt(a)*d)*sqrt(a)) + log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/(sqrt(sqrt(a)*d)*sqrt(a)))/d^2 + (64*a*d^2*x^2 + 20*d^2*dilog(a*x^2) - 16*d^2*log(-a*d^2*x^2 + d^2) + 32*d^2*log(d) + 25*d^2*polylog(3, a*x^2))/((d*x)^(5/2)*d^2))/d","A",0
85,1,168,0,0.434300," ","integrate(polylog(3,a*x^2)/(d*x)^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{48 \, {\left(\frac{2 \, a^{2} \arctan\left(\frac{\sqrt{d x} \sqrt{a}}{\sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} d} - \frac{a^{2} \log\left(\frac{\sqrt{d x} \sqrt{a} - \sqrt{\sqrt{a} d}}{\sqrt{d x} \sqrt{a} + \sqrt{\sqrt{a} d}}\right)}{\sqrt{\sqrt{a} d} d}\right)}}{d^{2}} - \frac{64 \, a d^{2} x^{2} + 84 \, d^{2} {\rm Li}_2\left(a x^{2}\right) - 48 \, d^{2} \log\left(-a d^{2} x^{2} + d^{2}\right) + 96 \, d^{2} \log\left(d\right) + 147 \, d^{2} {\rm Li}_{3}(a x^{2})}{\left(d x\right)^{\frac{7}{2}} d^{2}}\right)}}{1029 \, d}"," ",0,"2/1029*(48*(2*a^2*arctan(sqrt(d*x)*sqrt(a)/sqrt(sqrt(a)*d))/(sqrt(sqrt(a)*d)*d) - a^2*log((sqrt(d*x)*sqrt(a) - sqrt(sqrt(a)*d))/(sqrt(d*x)*sqrt(a) + sqrt(sqrt(a)*d)))/(sqrt(sqrt(a)*d)*d))/d^2 - (64*a*d^2*x^2 + 84*d^2*dilog(a*x^2) - 48*d^2*log(-a*d^2*x^2 + d^2) + 96*d^2*log(d) + 147*d^2*polylog(3, a*x^2))/((d*x)^(7/2)*d^2))/d","A",0
86,0,0,0,0.000000," ","integrate((d*x)^(3/2)*polylog(2,a*x^q),x, algorithm=""maxima"")","8 \, d^{\frac{3}{2}} q^{3} \int \frac{x^{\frac{3}{2}}}{25 \, {\left({\left(2 \, a^{2} q - 5 \, a^{2}\right)} x^{2 \, q} - 2 \, {\left(2 \, a q - 5 \, a\right)} x^{q} + 2 \, q - 5\right)}}\,{d x} + \frac{2 \, {\left(25 \, {\left({\left(2 \, a d^{\frac{3}{2}} q - 5 \, a d^{\frac{3}{2}}\right)} x x^{q} - {\left(2 \, d^{\frac{3}{2}} q - 5 \, d^{\frac{3}{2}}\right)} x\right)} x^{\frac{3}{2}} {\rm Li}_2\left(a x^{q}\right) + 10 \, {\left({\left(2 \, a d^{\frac{3}{2}} q^{2} - 5 \, a d^{\frac{3}{2}} q\right)} x x^{q} - {\left(2 \, d^{\frac{3}{2}} q^{2} - 5 \, d^{\frac{3}{2}} q\right)} x\right)} x^{\frac{3}{2}} \log\left(-a x^{q} + 1\right) + 4 \, {\left(2 \, d^{\frac{3}{2}} q^{3} x - {\left(2 \, a d^{\frac{3}{2}} q^{3} - 5 \, a d^{\frac{3}{2}} q^{2}\right)} x x^{q}\right)} x^{\frac{3}{2}}\right)}}{125 \, {\left({\left(2 \, a q - 5 \, a\right)} x^{q} - 2 \, q + 5\right)}}"," ",0,"8*d^(3/2)*q^3*integrate(1/25*x^(3/2)/((2*a^2*q - 5*a^2)*x^(2*q) - 2*(2*a*q - 5*a)*x^q + 2*q - 5), x) + 2/125*(25*((2*a*d^(3/2)*q - 5*a*d^(3/2))*x*x^q - (2*d^(3/2)*q - 5*d^(3/2))*x)*x^(3/2)*dilog(a*x^q) + 10*((2*a*d^(3/2)*q^2 - 5*a*d^(3/2)*q)*x*x^q - (2*d^(3/2)*q^2 - 5*d^(3/2)*q)*x)*x^(3/2)*log(-a*x^q + 1) + 4*(2*d^(3/2)*q^3*x - (2*a*d^(3/2)*q^3 - 5*a*d^(3/2)*q^2)*x*x^q)*x^(3/2))/((2*a*q - 5*a)*x^q - 2*q + 5)","F",0
87,0,0,0,0.000000," ","integrate((d*x)^(1/2)*polylog(2,a*x^q),x, algorithm=""maxima"")","8 \, \sqrt{d} q^{3} \int \frac{\sqrt{x}}{9 \, {\left({\left(2 \, a^{2} q - 3 \, a^{2}\right)} x^{2 \, q} - 2 \, {\left(2 \, a q - 3 \, a\right)} x^{q} + 2 \, q - 3\right)}}\,{d x} + \frac{2 \, {\left(9 \, {\left({\left(2 \, a \sqrt{d} q - 3 \, a \sqrt{d}\right)} x x^{q} - {\left(2 \, \sqrt{d} q - 3 \, \sqrt{d}\right)} x\right)} \sqrt{x} {\rm Li}_2\left(a x^{q}\right) + 6 \, {\left({\left(2 \, a \sqrt{d} q^{2} - 3 \, a \sqrt{d} q\right)} x x^{q} - {\left(2 \, \sqrt{d} q^{2} - 3 \, \sqrt{d} q\right)} x\right)} \sqrt{x} \log\left(-a x^{q} + 1\right) + 4 \, {\left(2 \, \sqrt{d} q^{3} x - {\left(2 \, a \sqrt{d} q^{3} - 3 \, a \sqrt{d} q^{2}\right)} x x^{q}\right)} \sqrt{x}\right)}}{27 \, {\left({\left(2 \, a q - 3 \, a\right)} x^{q} - 2 \, q + 3\right)}}"," ",0,"8*sqrt(d)*q^3*integrate(1/9*sqrt(x)/((2*a^2*q - 3*a^2)*x^(2*q) - 2*(2*a*q - 3*a)*x^q + 2*q - 3), x) + 2/27*(9*((2*a*sqrt(d)*q - 3*a*sqrt(d))*x*x^q - (2*sqrt(d)*q - 3*sqrt(d))*x)*sqrt(x)*dilog(a*x^q) + 6*((2*a*sqrt(d)*q^2 - 3*a*sqrt(d)*q)*x*x^q - (2*sqrt(d)*q^2 - 3*sqrt(d)*q)*x)*sqrt(x)*log(-a*x^q + 1) + 4*(2*sqrt(d)*q^3*x - (2*a*sqrt(d)*q^3 - 3*a*sqrt(d)*q^2)*x*x^q)*sqrt(x))/((2*a*q - 3*a)*x^q - 2*q + 3)","F",0
88,0,0,0,0.000000," ","integrate(polylog(2,a*x^q)/(d*x)^(1/2),x, algorithm=""maxima"")","8 \, q^{3} \int \frac{1}{{\left({\left(2 \, a^{2} \sqrt{d} q - a^{2} \sqrt{d}\right)} x^{2 \, q} - 2 \, {\left(2 \, a \sqrt{d} q - a \sqrt{d}\right)} x^{q} + 2 \, \sqrt{d} q - \sqrt{d}\right)} \sqrt{x}}\,{d x} - \frac{2 \, {\left(\frac{{\left({\left(2 \, a \sqrt{d} q - a \sqrt{d}\right)} x x^{q} - {\left(2 \, \sqrt{d} q - \sqrt{d}\right)} x\right)} {\rm Li}_2\left(a x^{q}\right)}{\sqrt{x}} + \frac{2 \, {\left({\left(2 \, a \sqrt{d} q^{2} - a \sqrt{d} q\right)} x x^{q} - {\left(2 \, \sqrt{d} q^{2} - \sqrt{d} q\right)} x\right)} \log\left(-a x^{q} + 1\right)}{\sqrt{x}} + \frac{4 \, {\left(2 \, \sqrt{d} q^{3} x - {\left(2 \, a \sqrt{d} q^{3} - a \sqrt{d} q^{2}\right)} x x^{q}\right)}}{\sqrt{x}}\right)}}{2 \, d q - {\left(2 \, a d q - a d\right)} x^{q} - d}"," ",0,"8*q^3*integrate(1/(((2*a^2*sqrt(d)*q - a^2*sqrt(d))*x^(2*q) - 2*(2*a*sqrt(d)*q - a*sqrt(d))*x^q + 2*sqrt(d)*q - sqrt(d))*sqrt(x)), x) - 2*(((2*a*sqrt(d)*q - a*sqrt(d))*x*x^q - (2*sqrt(d)*q - sqrt(d))*x)*dilog(a*x^q)/sqrt(x) + 2*((2*a*sqrt(d)*q^2 - a*sqrt(d)*q)*x*x^q - (2*sqrt(d)*q^2 - sqrt(d)*q)*x)*log(-a*x^q + 1)/sqrt(x) + 4*(2*sqrt(d)*q^3*x - (2*a*sqrt(d)*q^3 - a*sqrt(d)*q^2)*x*x^q)/sqrt(x))/(2*d*q - (2*a*d*q - a*d)*x^q - d)","F",0
89,0,0,0,0.000000," ","integrate(polylog(2,a*x^q)/(d*x)^(3/2),x, algorithm=""maxima"")","8 \, q^{3} \int \frac{1}{{\left(2 \, d^{\frac{3}{2}} q + {\left(2 \, a^{2} d^{\frac{3}{2}} q + a^{2} d^{\frac{3}{2}}\right)} x^{2 \, q} - 2 \, {\left(2 \, a d^{\frac{3}{2}} q + a d^{\frac{3}{2}}\right)} x^{q} + d^{\frac{3}{2}}\right)} x^{\frac{3}{2}}}\,{d x} + \frac{2 \, {\left(\frac{{\left({\left(2 \, a \sqrt{d} q + a \sqrt{d}\right)} x x^{q} - {\left(2 \, \sqrt{d} q + \sqrt{d}\right)} x\right)} {\rm Li}_2\left(a x^{q}\right)}{x^{\frac{3}{2}}} - \frac{2 \, {\left({\left(2 \, a \sqrt{d} q^{2} + a \sqrt{d} q\right)} x x^{q} - {\left(2 \, \sqrt{d} q^{2} + \sqrt{d} q\right)} x\right)} \log\left(-a x^{q} + 1\right)}{x^{\frac{3}{2}}} + \frac{4 \, {\left(2 \, \sqrt{d} q^{3} x - {\left(2 \, a \sqrt{d} q^{3} + a \sqrt{d} q^{2}\right)} x x^{q}\right)}}{x^{\frac{3}{2}}}\right)}}{2 \, d^{2} q + d^{2} - {\left(2 \, a d^{2} q + a d^{2}\right)} x^{q}}"," ",0,"8*q^3*integrate(1/((2*d^(3/2)*q + (2*a^2*d^(3/2)*q + a^2*d^(3/2))*x^(2*q) - 2*(2*a*d^(3/2)*q + a*d^(3/2))*x^q + d^(3/2))*x^(3/2)), x) + 2*(((2*a*sqrt(d)*q + a*sqrt(d))*x*x^q - (2*sqrt(d)*q + sqrt(d))*x)*dilog(a*x^q)/x^(3/2) - 2*((2*a*sqrt(d)*q^2 + a*sqrt(d)*q)*x*x^q - (2*sqrt(d)*q^2 + sqrt(d)*q)*x)*log(-a*x^q + 1)/x^(3/2) + 4*(2*sqrt(d)*q^3*x - (2*a*sqrt(d)*q^3 + a*sqrt(d)*q^2)*x*x^q)/x^(3/2))/(2*d^2*q + d^2 - (2*a*d^2*q + a*d^2)*x^q)","F",0
90,0,0,0,0.000000," ","integrate(polylog(2,a*x^q)/(d*x)^(5/2),x, algorithm=""maxima"")","8 \, q^{3} \int \frac{1}{9 \, {\left(2 \, d^{\frac{5}{2}} q + 3 \, d^{\frac{5}{2}} + {\left(2 \, a^{2} d^{\frac{5}{2}} q + 3 \, a^{2} d^{\frac{5}{2}}\right)} x^{2 \, q} - 2 \, {\left(2 \, a d^{\frac{5}{2}} q + 3 \, a d^{\frac{5}{2}}\right)} x^{q}\right)} x^{\frac{5}{2}}}\,{d x} + \frac{2 \, {\left(\frac{9 \, {\left({\left(2 \, a \sqrt{d} q + 3 \, a \sqrt{d}\right)} x x^{q} - {\left(2 \, \sqrt{d} q + 3 \, \sqrt{d}\right)} x\right)} {\rm Li}_2\left(a x^{q}\right)}{x^{\frac{5}{2}}} - \frac{6 \, {\left({\left(2 \, a \sqrt{d} q^{2} + 3 \, a \sqrt{d} q\right)} x x^{q} - {\left(2 \, \sqrt{d} q^{2} + 3 \, \sqrt{d} q\right)} x\right)} \log\left(-a x^{q} + 1\right)}{x^{\frac{5}{2}}} + \frac{4 \, {\left(2 \, \sqrt{d} q^{3} x - {\left(2 \, a \sqrt{d} q^{3} + 3 \, a \sqrt{d} q^{2}\right)} x x^{q}\right)}}{x^{\frac{5}{2}}}\right)}}{27 \, {\left(2 \, d^{3} q + 3 \, d^{3} - {\left(2 \, a d^{3} q + 3 \, a d^{3}\right)} x^{q}\right)}}"," ",0,"8*q^3*integrate(1/9/((2*d^(5/2)*q + 3*d^(5/2) + (2*a^2*d^(5/2)*q + 3*a^2*d^(5/2))*x^(2*q) - 2*(2*a*d^(5/2)*q + 3*a*d^(5/2))*x^q)*x^(5/2)), x) + 2/27*(9*((2*a*sqrt(d)*q + 3*a*sqrt(d))*x*x^q - (2*sqrt(d)*q + 3*sqrt(d))*x)*dilog(a*x^q)/x^(5/2) - 6*((2*a*sqrt(d)*q^2 + 3*a*sqrt(d)*q)*x*x^q - (2*sqrt(d)*q^2 + 3*sqrt(d)*q)*x)*log(-a*x^q + 1)/x^(5/2) + 4*(2*sqrt(d)*q^3*x - (2*a*sqrt(d)*q^3 + 3*a*sqrt(d)*q^2)*x*x^q)/x^(5/2))/(2*d^3*q + 3*d^3 - (2*a*d^3*q + 3*a*d^3)*x^q)","F",0
91,0,0,0,0.000000," ","integrate((d*x)^(3/2)*polylog(3,a*x^q),x, algorithm=""maxima"")","-16 \, d^{\frac{3}{2}} q^{4} \int \frac{x^{\frac{3}{2}}}{125 \, {\left(a^{2} {\left(2 \, q - 5\right)} x^{2 \, q} - 2 \, a {\left(2 \, q - 5\right)} x^{q} + 2 \, q - 5\right)}}\,{d x} - \frac{2 \, {\left(50 \, {\left({\left(2 \, q^{2} - 5 \, q\right)} a d^{\frac{3}{2}} x x^{q} - {\left(2 \, q^{2} - 5 \, q\right)} d^{\frac{3}{2}} x\right)} x^{\frac{3}{2}} {\rm Li}_2\left(a x^{q}\right) + 20 \, {\left({\left(2 \, q^{3} - 5 \, q^{2}\right)} a d^{\frac{3}{2}} x x^{q} - {\left(2 \, q^{3} - 5 \, q^{2}\right)} d^{\frac{3}{2}} x\right)} x^{\frac{3}{2}} \log\left(-a x^{q} + 1\right) - 125 \, {\left(a d^{\frac{3}{2}} {\left(2 \, q - 5\right)} x x^{q} - d^{\frac{3}{2}} {\left(2 \, q - 5\right)} x\right)} x^{\frac{3}{2}} {\rm Li}_{3}(a x^{q}) + 8 \, {\left(2 \, d^{\frac{3}{2}} q^{4} x - {\left(2 \, q^{4} - 5 \, q^{3}\right)} a d^{\frac{3}{2}} x x^{q}\right)} x^{\frac{3}{2}}\right)}}{625 \, {\left(a {\left(2 \, q - 5\right)} x^{q} - 2 \, q + 5\right)}}"," ",0,"-16*d^(3/2)*q^4*integrate(1/125*x^(3/2)/(a^2*(2*q - 5)*x^(2*q) - 2*a*(2*q - 5)*x^q + 2*q - 5), x) - 2/625*(50*((2*q^2 - 5*q)*a*d^(3/2)*x*x^q - (2*q^2 - 5*q)*d^(3/2)*x)*x^(3/2)*dilog(a*x^q) + 20*((2*q^3 - 5*q^2)*a*d^(3/2)*x*x^q - (2*q^3 - 5*q^2)*d^(3/2)*x)*x^(3/2)*log(-a*x^q + 1) - 125*(a*d^(3/2)*(2*q - 5)*x*x^q - d^(3/2)*(2*q - 5)*x)*x^(3/2)*polylog(3, a*x^q) + 8*(2*d^(3/2)*q^4*x - (2*q^4 - 5*q^3)*a*d^(3/2)*x*x^q)*x^(3/2))/(a*(2*q - 5)*x^q - 2*q + 5)","F",0
92,0,0,0,0.000000," ","integrate((d*x)^(1/2)*polylog(3,a*x^q),x, algorithm=""maxima"")","-16 \, \sqrt{d} q^{4} \int \frac{\sqrt{x}}{27 \, {\left(a^{2} {\left(2 \, q - 3\right)} x^{2 \, q} - 2 \, a {\left(2 \, q - 3\right)} x^{q} + 2 \, q - 3\right)}}\,{d x} - \frac{2 \, {\left(18 \, {\left({\left(2 \, q^{2} - 3 \, q\right)} a \sqrt{d} x x^{q} - {\left(2 \, q^{2} - 3 \, q\right)} \sqrt{d} x\right)} \sqrt{x} {\rm Li}_2\left(a x^{q}\right) + 12 \, {\left({\left(2 \, q^{3} - 3 \, q^{2}\right)} a \sqrt{d} x x^{q} - {\left(2 \, q^{3} - 3 \, q^{2}\right)} \sqrt{d} x\right)} \sqrt{x} \log\left(-a x^{q} + 1\right) - 27 \, {\left(a \sqrt{d} {\left(2 \, q - 3\right)} x x^{q} - \sqrt{d} {\left(2 \, q - 3\right)} x\right)} \sqrt{x} {\rm Li}_{3}(a x^{q}) + 8 \, {\left(2 \, \sqrt{d} q^{4} x - {\left(2 \, q^{4} - 3 \, q^{3}\right)} a \sqrt{d} x x^{q}\right)} \sqrt{x}\right)}}{81 \, {\left(a {\left(2 \, q - 3\right)} x^{q} - 2 \, q + 3\right)}}"," ",0,"-16*sqrt(d)*q^4*integrate(1/27*sqrt(x)/(a^2*(2*q - 3)*x^(2*q) - 2*a*(2*q - 3)*x^q + 2*q - 3), x) - 2/81*(18*((2*q^2 - 3*q)*a*sqrt(d)*x*x^q - (2*q^2 - 3*q)*sqrt(d)*x)*sqrt(x)*dilog(a*x^q) + 12*((2*q^3 - 3*q^2)*a*sqrt(d)*x*x^q - (2*q^3 - 3*q^2)*sqrt(d)*x)*sqrt(x)*log(-a*x^q + 1) - 27*(a*sqrt(d)*(2*q - 3)*x*x^q - sqrt(d)*(2*q - 3)*x)*sqrt(x)*polylog(3, a*x^q) + 8*(2*sqrt(d)*q^4*x - (2*q^4 - 3*q^3)*a*sqrt(d)*x*x^q)*sqrt(x))/(a*(2*q - 3)*x^q - 2*q + 3)","F",0
93,0,0,0,0.000000," ","integrate(polylog(3,a*x^q)/(d*x)^(1/2),x, algorithm=""maxima"")","-16 \, q^{4} \int \frac{1}{{\left(a^{2} \sqrt{d} {\left(2 \, q - 1\right)} x^{2 \, q} - 2 \, a \sqrt{d} {\left(2 \, q - 1\right)} x^{q} + \sqrt{d} {\left(2 \, q - 1\right)}\right)} \sqrt{x}}\,{d x} - \frac{2 \, {\left(\frac{2 \, {\left({\left(2 \, q^{2} - q\right)} a x x^{q} - {\left(2 \, q^{2} - q\right)} x\right)} {\rm Li}_2\left(a x^{q}\right)}{\sqrt{x}} + \frac{4 \, {\left({\left(2 \, q^{3} - q^{2}\right)} a x x^{q} - {\left(2 \, q^{3} - q^{2}\right)} x\right)} \log\left(-a x^{q} + 1\right)}{\sqrt{x}} - \frac{{\left(a {\left(2 \, q - 1\right)} x x^{q} - {\left(2 \, q - 1\right)} x\right)} {\rm Li}_{3}(a x^{q})}{\sqrt{x}} + \frac{8 \, {\left(2 \, q^{4} x - {\left(2 \, q^{4} - q^{3}\right)} a x x^{q}\right)}}{\sqrt{x}}\right)}}{a \sqrt{d} {\left(2 \, q - 1\right)} x^{q} - \sqrt{d} {\left(2 \, q - 1\right)}}"," ",0,"-16*q^4*integrate(1/((a^2*sqrt(d)*(2*q - 1)*x^(2*q) - 2*a*sqrt(d)*(2*q - 1)*x^q + sqrt(d)*(2*q - 1))*sqrt(x)), x) - 2*(2*((2*q^2 - q)*a*x*x^q - (2*q^2 - q)*x)*dilog(a*x^q)/sqrt(x) + 4*((2*q^3 - q^2)*a*x*x^q - (2*q^3 - q^2)*x)*log(-a*x^q + 1)/sqrt(x) - (a*(2*q - 1)*x*x^q - (2*q - 1)*x)*polylog(3, a*x^q)/sqrt(x) + 8*(2*q^4*x - (2*q^4 - q^3)*a*x*x^q)/sqrt(x))/(a*sqrt(d)*(2*q - 1)*x^q - sqrt(d)*(2*q - 1))","F",0
94,0,0,0,0.000000," ","integrate(polylog(3,a*x^q)/(d*x)^(3/2),x, algorithm=""maxima"")","16 \, q^{4} \int \frac{1}{{\left(a^{2} d^{\frac{3}{2}} {\left(2 \, q + 1\right)} x^{2 \, q} - 2 \, a d^{\frac{3}{2}} {\left(2 \, q + 1\right)} x^{q} + d^{\frac{3}{2}} {\left(2 \, q + 1\right)}\right)} x^{\frac{3}{2}}}\,{d x} - \frac{2 \, {\left(\frac{2 \, {\left({\left(2 \, q^{2} + q\right)} a x x^{q} - {\left(2 \, q^{2} + q\right)} x\right)} {\rm Li}_2\left(a x^{q}\right)}{x^{\frac{3}{2}}} - \frac{4 \, {\left({\left(2 \, q^{3} + q^{2}\right)} a x x^{q} - {\left(2 \, q^{3} + q^{2}\right)} x\right)} \log\left(-a x^{q} + 1\right)}{x^{\frac{3}{2}}} + \frac{{\left(a {\left(2 \, q + 1\right)} x x^{q} - {\left(2 \, q + 1\right)} x\right)} {\rm Li}_{3}(a x^{q})}{x^{\frac{3}{2}}} + \frac{8 \, {\left(2 \, q^{4} x - {\left(2 \, q^{4} + q^{3}\right)} a x x^{q}\right)}}{x^{\frac{3}{2}}}\right)}}{a d^{\frac{3}{2}} {\left(2 \, q + 1\right)} x^{q} - d^{\frac{3}{2}} {\left(2 \, q + 1\right)}}"," ",0,"16*q^4*integrate(1/((a^2*d^(3/2)*(2*q + 1)*x^(2*q) - 2*a*d^(3/2)*(2*q + 1)*x^q + d^(3/2)*(2*q + 1))*x^(3/2)), x) - 2*(2*((2*q^2 + q)*a*x*x^q - (2*q^2 + q)*x)*dilog(a*x^q)/x^(3/2) - 4*((2*q^3 + q^2)*a*x*x^q - (2*q^3 + q^2)*x)*log(-a*x^q + 1)/x^(3/2) + (a*(2*q + 1)*x*x^q - (2*q + 1)*x)*polylog(3, a*x^q)/x^(3/2) + 8*(2*q^4*x - (2*q^4 + q^3)*a*x*x^q)/x^(3/2))/(a*d^(3/2)*(2*q + 1)*x^q - d^(3/2)*(2*q + 1))","F",0
95,0,0,0,0.000000," ","integrate(polylog(3,a*x^q)/(d*x)^(5/2),x, algorithm=""maxima"")","16 \, q^{4} \int \frac{1}{27 \, {\left(a^{2} d^{\frac{5}{2}} {\left(2 \, q + 3\right)} x^{2 \, q} - 2 \, a d^{\frac{5}{2}} {\left(2 \, q + 3\right)} x^{q} + d^{\frac{5}{2}} {\left(2 \, q + 3\right)}\right)} x^{\frac{5}{2}}}\,{d x} - \frac{2 \, {\left(\frac{18 \, {\left({\left(2 \, q^{2} + 3 \, q\right)} a x x^{q} - {\left(2 \, q^{2} + 3 \, q\right)} x\right)} {\rm Li}_2\left(a x^{q}\right)}{x^{\frac{5}{2}}} - \frac{12 \, {\left({\left(2 \, q^{3} + 3 \, q^{2}\right)} a x x^{q} - {\left(2 \, q^{3} + 3 \, q^{2}\right)} x\right)} \log\left(-a x^{q} + 1\right)}{x^{\frac{5}{2}}} + \frac{27 \, {\left(a {\left(2 \, q + 3\right)} x x^{q} - {\left(2 \, q + 3\right)} x\right)} {\rm Li}_{3}(a x^{q})}{x^{\frac{5}{2}}} + \frac{8 \, {\left(2 \, q^{4} x - {\left(2 \, q^{4} + 3 \, q^{3}\right)} a x x^{q}\right)}}{x^{\frac{5}{2}}}\right)}}{81 \, {\left(a d^{\frac{5}{2}} {\left(2 \, q + 3\right)} x^{q} - d^{\frac{5}{2}} {\left(2 \, q + 3\right)}\right)}}"," ",0,"16*q^4*integrate(1/27/((a^2*d^(5/2)*(2*q + 3)*x^(2*q) - 2*a*d^(5/2)*(2*q + 3)*x^q + d^(5/2)*(2*q + 3))*x^(5/2)), x) - 2/81*(18*((2*q^2 + 3*q)*a*x*x^q - (2*q^2 + 3*q)*x)*dilog(a*x^q)/x^(5/2) - 12*((2*q^3 + 3*q^2)*a*x*x^q - (2*q^3 + 3*q^2)*x)*log(-a*x^q + 1)/x^(5/2) + 27*(a*(2*q + 3)*x*x^q - (2*q + 3)*x)*polylog(3, a*x^q)/x^(5/2) + 8*(2*q^4*x - (2*q^4 + 3*q^3)*a*x*x^q)/x^(5/2))/(a*d^(5/2)*(2*q + 3)*x^q - d^(5/2)*(2*q + 3))","F",0
96,0,0,0,0.000000," ","integrate(polylog(3/2,a*x),x, algorithm=""maxima"")","\int {\rm Li}_{\frac{3}{2}}(a x)\,{d x}"," ",0,"integrate(polylog(3/2, a*x), x)","F",0
97,0,0,0,0.000000," ","integrate(polylog(1/2,a*x),x, algorithm=""maxima"")","\int {\rm Li}_{\frac{1}{2}}(a x)\,{d x}"," ",0,"integrate(polylog(1/2, a*x), x)","F",0
98,0,0,0,0.000000," ","integrate(polylog(-1/2,a*x),x, algorithm=""maxima"")","\int {\rm Li}_{-\frac{1}{2}}(a x)\,{d x}"," ",0,"integrate(polylog(-1/2, a*x), x)","F",0
99,0,0,0,0.000000," ","integrate(polylog(-3/2,a*x),x, algorithm=""maxima"")","\int {\rm Li}_{-\frac{3}{2}}(a x)\,{d x}"," ",0,"integrate(polylog(-3/2, a*x), x)","F",0
100,0,0,0,0.000000," ","integrate(polylog(-5/2,a*x),x, algorithm=""maxima"")","\int {\rm Li}_{-\frac{5}{2}}(a x)\,{d x}"," ",0,"integrate(polylog(-5/2, a*x), x)","F",0
101,0,0,0,0.000000," ","integrate(polylog(-3/2,a*x)+polylog(-1/2,a*x),x, algorithm=""maxima"")","\int {\rm Li}_{-\frac{1}{2}}(a x) + {\rm Li}_{-\frac{3}{2}}(a x)\,{d x}"," ",0,"integrate(polylog(-1/2, a*x) + polylog(-3/2, a*x), x)","F",0
102,0,0,0,0.000000," ","integrate((d*x)^m*polylog(2,a*x),x, algorithm=""maxima"")","-a d^{m} \int -\frac{x x^{m}}{m^{2} - {\left(a m^{2} + 2 \, a m + a\right)} x + 2 \, m + 1}\,{d x} + \frac{{\left(d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_2\left(a x\right) + d^{m} x x^{m} \log\left(-a x + 1\right)}{m^{2} + 2 \, m + 1}"," ",0,"-a*d^m*integrate(-x*x^m/(m^2 - (a*m^2 + 2*a*m + a)*x + 2*m + 1), x) + ((d^m*m + d^m)*x*x^m*dilog(a*x) + d^m*x*x^m*log(-a*x + 1))/(m^2 + 2*m + 1)","F",0
103,0,0,0,0.000000," ","integrate((d*x)^m*polylog(3,a*x),x, algorithm=""maxima"")","a d^{m} \int -\frac{x x^{m}}{m^{3} - {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} a x + 3 \, m^{2} + 3 \, m + 1}\,{d x} - \frac{d^{m} {\left(m + 1\right)} x x^{m} {\rm Li}_2\left(a x\right) - {\left(m^{2} + 2 \, m + 1\right)} d^{m} x x^{m} {\rm Li}_{3}(a x) + d^{m} x x^{m} \log\left(-a x + 1\right)}{m^{3} + 3 \, m^{2} + 3 \, m + 1}"," ",0,"a*d^m*integrate(-x*x^m/(m^3 - (m^3 + 3*m^2 + 3*m + 1)*a*x + 3*m^2 + 3*m + 1), x) - (d^m*(m + 1)*x*x^m*dilog(a*x) - (m^2 + 2*m + 1)*d^m*x*x^m*polylog(3, a*x) + d^m*x*x^m*log(-a*x + 1))/(m^3 + 3*m^2 + 3*m + 1)","F",0
104,0,0,0,0.000000," ","integrate((d*x)^m*polylog(4,a*x),x, algorithm=""maxima"")","-a d^{m} \int -\frac{x x^{m}}{m^{4} + 4 \, m^{3} + 6 \, m^{2} - {\left(a m^{4} + 4 \, a m^{3} + 6 \, a m^{2} + 4 \, a m + a\right)} x + 4 \, m + 1}\,{d x} + \frac{{\left(d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_2\left(a x\right) + d^{m} x x^{m} \log\left(-a x + 1\right) + {\left(d^{m} m^{3} + 3 \, d^{m} m^{2} + 3 \, d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_{4}(a x) - {\left(d^{m} m^{2} + 2 \, d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_{3}(a x)}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1}"," ",0,"-a*d^m*integrate(-x*x^m/(m^4 + 4*m^3 + 6*m^2 - (a*m^4 + 4*a*m^3 + 6*a*m^2 + 4*a*m + a)*x + 4*m + 1), x) + ((d^m*m + d^m)*x*x^m*dilog(a*x) + d^m*x*x^m*log(-a*x + 1) + (d^m*m^3 + 3*d^m*m^2 + 3*d^m*m + d^m)*x*x^m*polylog(4, a*x) - (d^m*m^2 + 2*d^m*m + d^m)*x*x^m*polylog(3, a*x))/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)","F",0
105,0,0,0,0.000000," ","integrate((d*x)^m*polylog(2,a*x^2),x, algorithm=""maxima"")","-4 \, a d^{m} \int \frac{x^{2} x^{m}}{{\left(a m^{2} + 2 \, a m + a\right)} x^{2} - m^{2} - 2 \, m - 1}\,{d x} + \frac{{\left(d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_2\left(a x^{2}\right) + 2 \, d^{m} x x^{m} \log\left(-a x^{2} + 1\right)}{m^{2} + 2 \, m + 1}"," ",0,"-4*a*d^m*integrate(x^2*x^m/((a*m^2 + 2*a*m + a)*x^2 - m^2 - 2*m - 1), x) + ((d^m*m + d^m)*x*x^m*dilog(a*x^2) + 2*d^m*x*x^m*log(-a*x^2 + 1))/(m^2 + 2*m + 1)","F",0
106,0,0,0,0.000000," ","integrate((d*x)^m*polylog(3,a*x^2),x, algorithm=""maxima"")","8 \, a d^{m} \int \frac{x^{2} x^{m}}{{\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} a x^{2} - m^{3} - 3 \, m^{2} - 3 \, m - 1}\,{d x} - \frac{2 \, d^{m} {\left(m + 1\right)} x x^{m} {\rm Li}_2\left(a x^{2}\right) - {\left(m^{2} + 2 \, m + 1\right)} d^{m} x x^{m} {\rm Li}_{3}(a x^{2}) + 4 \, d^{m} x x^{m} \log\left(-a x^{2} + 1\right)}{m^{3} + 3 \, m^{2} + 3 \, m + 1}"," ",0,"8*a*d^m*integrate(x^2*x^m/((m^3 + 3*m^2 + 3*m + 1)*a*x^2 - m^3 - 3*m^2 - 3*m - 1), x) - (2*d^m*(m + 1)*x*x^m*dilog(a*x^2) - (m^2 + 2*m + 1)*d^m*x*x^m*polylog(3, a*x^2) + 4*d^m*x*x^m*log(-a*x^2 + 1))/(m^3 + 3*m^2 + 3*m + 1)","F",0
107,0,0,0,0.000000," ","integrate((d*x)^m*polylog(4,a*x^2),x, algorithm=""maxima"")","-16 \, a d^{m} \int -\frac{x^{2} x^{m}}{m^{4} + 4 \, m^{3} - {\left(a m^{4} + 4 \, a m^{3} + 6 \, a m^{2} + 4 \, a m + a\right)} x^{2} + 6 \, m^{2} + 4 \, m + 1}\,{d x} + \frac{4 \, {\left(d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_2\left(a x^{2}\right) + 8 \, d^{m} x x^{m} \log\left(-a x^{2} + 1\right) + {\left(d^{m} m^{3} + 3 \, d^{m} m^{2} + 3 \, d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_{4}(a x^{2}) - 2 \, {\left(d^{m} m^{2} + 2 \, d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_{3}(a x^{2})}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1}"," ",0,"-16*a*d^m*integrate(-x^2*x^m/(m^4 + 4*m^3 - (a*m^4 + 4*a*m^3 + 6*a*m^2 + 4*a*m + a)*x^2 + 6*m^2 + 4*m + 1), x) + (4*(d^m*m + d^m)*x*x^m*dilog(a*x^2) + 8*d^m*x*x^m*log(-a*x^2 + 1) + (d^m*m^3 + 3*d^m*m^2 + 3*d^m*m + d^m)*x*x^m*polylog(4, a*x^2) - 2*(d^m*m^2 + 2*d^m*m + d^m)*x*x^m*polylog(3, a*x^2))/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)","F",0
108,0,0,0,0.000000," ","integrate((d*x)^m*polylog(2,a*x^3),x, algorithm=""maxima"")","-9 \, a d^{m} \int \frac{x^{3} x^{m}}{{\left(a m^{2} + 2 \, a m + a\right)} x^{3} - m^{2} - 2 \, m - 1}\,{d x} + \frac{{\left(d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_2\left(a x^{3}\right) + 3 \, d^{m} x x^{m} \log\left(-a x^{3} + 1\right)}{m^{2} + 2 \, m + 1}"," ",0,"-9*a*d^m*integrate(x^3*x^m/((a*m^2 + 2*a*m + a)*x^3 - m^2 - 2*m - 1), x) + ((d^m*m + d^m)*x*x^m*dilog(a*x^3) + 3*d^m*x*x^m*log(-a*x^3 + 1))/(m^2 + 2*m + 1)","F",0
109,0,0,0,0.000000," ","integrate((d*x)^m*polylog(3,a*x^3),x, algorithm=""maxima"")","27 \, a d^{m} \int \frac{x^{3} x^{m}}{{\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} a x^{3} - m^{3} - 3 \, m^{2} - 3 \, m - 1}\,{d x} - \frac{3 \, d^{m} {\left(m + 1\right)} x x^{m} {\rm Li}_2\left(a x^{3}\right) - {\left(m^{2} + 2 \, m + 1\right)} d^{m} x x^{m} {\rm Li}_{3}(a x^{3}) + 9 \, d^{m} x x^{m} \log\left(-a x^{3} + 1\right)}{m^{3} + 3 \, m^{2} + 3 \, m + 1}"," ",0,"27*a*d^m*integrate(x^3*x^m/((m^3 + 3*m^2 + 3*m + 1)*a*x^3 - m^3 - 3*m^2 - 3*m - 1), x) - (3*d^m*(m + 1)*x*x^m*dilog(a*x^3) - (m^2 + 2*m + 1)*d^m*x*x^m*polylog(3, a*x^3) + 9*d^m*x*x^m*log(-a*x^3 + 1))/(m^3 + 3*m^2 + 3*m + 1)","F",0
110,0,0,0,0.000000," ","integrate((d*x)^m*polylog(4,a*x^3),x, algorithm=""maxima"")","-81 \, a d^{m} \int -\frac{x^{3} x^{m}}{m^{4} - {\left(a m^{4} + 4 \, a m^{3} + 6 \, a m^{2} + 4 \, a m + a\right)} x^{3} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1}\,{d x} + \frac{9 \, {\left(d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_2\left(a x^{3}\right) + 27 \, d^{m} x x^{m} \log\left(-a x^{3} + 1\right) + {\left(d^{m} m^{3} + 3 \, d^{m} m^{2} + 3 \, d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_{4}(a x^{3}) - 3 \, {\left(d^{m} m^{2} + 2 \, d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_{3}(a x^{3})}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1}"," ",0,"-81*a*d^m*integrate(-x^3*x^m/(m^4 - (a*m^4 + 4*a*m^3 + 6*a*m^2 + 4*a*m + a)*x^3 + 4*m^3 + 6*m^2 + 4*m + 1), x) + (9*(d^m*m + d^m)*x*x^m*dilog(a*x^3) + 27*d^m*x*x^m*log(-a*x^3 + 1) + (d^m*m^3 + 3*d^m*m^2 + 3*d^m*m + d^m)*x*x^m*polylog(4, a*x^3) - 3*(d^m*m^2 + 2*d^m*m + d^m)*x*x^m*polylog(3, a*x^3))/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)","F",0
111,0,0,0,0.000000," ","integrate((d*x)^m*polylog(2,a*x^q),x, algorithm=""maxima"")","-d^{m} q^{2} \int -\frac{x^{m}}{m^{2} - {\left(a m^{2} + 2 \, a m + a\right)} x^{q} + 2 \, m + 1}\,{d x} - \frac{d^{m} q^{2} x x^{m} - {\left(d^{m} m + d^{m}\right)} q x x^{m} \log\left(-a x^{q} + 1\right) - {\left(d^{m} m^{2} + 2 \, d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_2\left(a x^{q}\right)}{m^{3} + 3 \, m^{2} + 3 \, m + 1}"," ",0,"-d^m*q^2*integrate(-x^m/(m^2 - (a*m^2 + 2*a*m + a)*x^q + 2*m + 1), x) - (d^m*q^2*x*x^m - (d^m*m + d^m)*q*x*x^m*log(-a*x^q + 1) - (d^m*m^2 + 2*d^m*m + d^m)*x*x^m*dilog(a*x^q))/(m^3 + 3*m^2 + 3*m + 1)","F",0
112,0,0,0,0.000000," ","integrate((d*x)^m*polylog(3,a*x^q),x, algorithm=""maxima"")","d^{m} q^{3} \int -\frac{x^{m}}{m^{3} - {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} a x^{q} + 3 \, m^{2} + 3 \, m + 1}\,{d x} + \frac{d^{m} q^{3} x x^{m} - {\left(m^{2} q + 2 \, m q + q\right)} d^{m} x x^{m} {\rm Li}_2\left(a x^{q}\right) - {\left(m q^{2} + q^{2}\right)} d^{m} x x^{m} \log\left(-a x^{q} + 1\right) + {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} d^{m} x x^{m} {\rm Li}_{3}(a x^{q})}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1}"," ",0,"d^m*q^3*integrate(-x^m/(m^3 - (m^3 + 3*m^2 + 3*m + 1)*a*x^q + 3*m^2 + 3*m + 1), x) + (d^m*q^3*x*x^m - (m^2*q + 2*m*q + q)*d^m*x*x^m*dilog(a*x^q) - (m*q^2 + q^2)*d^m*x*x^m*log(-a*x^q + 1) + (m^3 + 3*m^2 + 3*m + 1)*d^m*x*x^m*polylog(3, a*x^q))/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)","F",0
113,0,0,0,0.000000," ","integrate((d*x)^m*polylog(4,a*x^q),x, algorithm=""maxima"")","-d^{m} q^{4} \int -\frac{x^{m}}{m^{4} + 4 \, m^{3} + 6 \, m^{2} - {\left(a m^{4} + 4 \, a m^{3} + 6 \, a m^{2} + 4 \, a m + a\right)} x^{q} + 4 \, m + 1}\,{d x} - \frac{d^{m} q^{4} x x^{m} - {\left(d^{m} m + d^{m}\right)} q^{3} x x^{m} \log\left(-a x^{q} + 1\right) - {\left(d^{m} m^{2} + 2 \, d^{m} m + d^{m}\right)} q^{2} x x^{m} {\rm Li}_2\left(a x^{q}\right) + {\left(d^{m} m^{3} + 3 \, d^{m} m^{2} + 3 \, d^{m} m + d^{m}\right)} q x x^{m} {\rm Li}_{3}(a x^{q}) - {\left(d^{m} m^{4} + 4 \, d^{m} m^{3} + 6 \, d^{m} m^{2} + 4 \, d^{m} m + d^{m}\right)} x x^{m} {\rm Li}_{4}(a x^{q})}{m^{5} + 5 \, m^{4} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1}"," ",0,"-d^m*q^4*integrate(-x^m/(m^4 + 4*m^3 + 6*m^2 - (a*m^4 + 4*a*m^3 + 6*a*m^2 + 4*a*m + a)*x^q + 4*m + 1), x) - (d^m*q^4*x*x^m - (d^m*m + d^m)*q^3*x*x^m*log(-a*x^q + 1) - (d^m*m^2 + 2*d^m*m + d^m)*q^2*x*x^m*dilog(a*x^q) + (d^m*m^3 + 3*d^m*m^2 + 3*d^m*m + d^m)*q*x*x^m*polylog(3, a*x^q) - (d^m*m^4 + 4*d^m*m^3 + 6*d^m*m^2 + 4*d^m*m + d^m)*x*x^m*polylog(4, a*x^q))/(m^5 + 5*m^4 + 10*m^3 + 10*m^2 + 5*m + 1)","F",0
114,0,0,0,0.000000," ","integrate(x*polylog(n,a*x),x, algorithm=""maxima"")","\int x {\rm Li}_{n}(a x)\,{d x}"," ",0,"integrate(x*polylog(n, a*x), x)","F",0
115,0,0,0,0.000000," ","integrate(polylog(n,a*x),x, algorithm=""maxima"")","\int {\rm Li}_{n}(a x)\,{d x}"," ",0,"integrate(polylog(n, a*x), x)","F",0
116,0,0,0,0.000000," ","integrate(polylog(n,a*x)/x,x, algorithm=""maxima"")","\int \frac{{\rm Li}_{n}(a x)}{x}\,{d x}"," ",0,"integrate(polylog(n, a*x)/x, x)","F",0
117,0,0,0,0.000000," ","integrate(polylog(n,a*x)/x^2,x, algorithm=""maxima"")","\int \frac{{\rm Li}_{n}(a x)}{x^{2}}\,{d x}"," ",0,"integrate(polylog(n, a*x)/x^2, x)","F",0
118,0,0,0,0.000000," ","integrate(polylog(n,a*x)/x^3,x, algorithm=""maxima"")","\int \frac{{\rm Li}_{n}(a x)}{x^{3}}\,{d x}"," ",0,"integrate(polylog(n, a*x)/x^3, x)","F",0
119,0,0,0,0.000000," ","integrate(x*polylog(n,a*x^q),x, algorithm=""maxima"")","\int x {\rm Li}_{n}(a x^{q})\,{d x}"," ",0,"integrate(x*polylog(n, a*x^q), x)","F",0
120,0,0,0,0.000000," ","integrate(polylog(n,a*x^q),x, algorithm=""maxima"")","\int {\rm Li}_{n}(a x^{q})\,{d x}"," ",0,"integrate(polylog(n, a*x^q), x)","F",0
121,0,0,0,0.000000," ","integrate(polylog(n,a*x^q)/x,x, algorithm=""maxima"")","\int \frac{{\rm Li}_{n}(a x^{q})}{x}\,{d x}"," ",0,"integrate(polylog(n, a*x^q)/x, x)","F",0
122,0,0,0,0.000000," ","integrate(polylog(n,a*x^q)/x^2,x, algorithm=""maxima"")","\int \frac{{\rm Li}_{n}(a x^{q})}{x^{2}}\,{d x}"," ",0,"integrate(polylog(n, a*x^q)/x^2, x)","F",0
123,0,0,0,0.000000," ","integrate(polylog(n,a*x^q)/x^3,x, algorithm=""maxima"")","\int \frac{{\rm Li}_{n}(a x^{q})}{x^{3}}\,{d x}"," ",0,"integrate(polylog(n, a*x^q)/x^3, x)","F",0
124,1,200,0,0.312933," ","integrate(x^2*polylog(2,c*(b*x+a)),x, algorithm=""maxima"")","-\frac{{\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)} a^{3}}{3 \, b^{3}} + \frac{36 \, b^{3} c^{3} x^{3} {\rm Li}_2\left(b c x + a c\right) - 4 \, b^{3} c^{3} x^{3} + 3 \, {\left(5 \, a b^{2} c^{3} - 2 \, b^{2} c^{2}\right)} x^{2} - 6 \, {\left(11 \, a^{2} b c^{3} - 7 \, a b c^{2} + 2 \, b c\right)} x + 6 \, {\left(2 \, b^{3} c^{3} x^{3} - 3 \, a b^{2} c^{3} x^{2} + 6 \, a^{2} b c^{3} x + 11 \, a^{3} c^{3} - 18 \, a^{2} c^{2} + 9 \, a c - 2\right)} \log\left(-b c x - a c + 1\right)}{108 \, b^{3} c^{3}}"," ",0,"-1/3*(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))*a^3/b^3 + 1/108*(36*b^3*c^3*x^3*dilog(b*c*x + a*c) - 4*b^3*c^3*x^3 + 3*(5*a*b^2*c^3 - 2*b^2*c^2)*x^2 - 6*(11*a^2*b*c^3 - 7*a*b*c^2 + 2*b*c)*x + 6*(2*b^3*c^3*x^3 - 3*a*b^2*c^3*x^2 + 6*a^2*b*c^3*x + 11*a^3*c^3 - 18*a^2*c^2 + 9*a*c - 2)*log(-b*c*x - a*c + 1))/(b^3*c^3)","A",0
125,1,145,0,0.311217," ","integrate(x*polylog(2,c*(b*x+a)),x, algorithm=""maxima"")","\frac{{\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)} a^{2}}{2 \, b^{2}} + \frac{4 \, b^{2} c^{2} x^{2} {\rm Li}_2\left(b c x + a c\right) - b^{2} c^{2} x^{2} + 2 \, {\left(3 \, a b c^{2} - b c\right)} x + 2 \, {\left(b^{2} c^{2} x^{2} - 2 \, a b c^{2} x - 3 \, a^{2} c^{2} + 4 \, a c - 1\right)} \log\left(-b c x - a c + 1\right)}{8 \, b^{2} c^{2}}"," ",0,"1/2*(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))*a^2/b^2 + 1/8*(4*b^2*c^2*x^2*dilog(b*c*x + a*c) - b^2*c^2*x^2 + 2*(3*a*b*c^2 - b*c)*x + 2*(b^2*c^2*x^2 - 2*a*b*c^2*x - 3*a^2*c^2 + 4*a*c - 1)*log(-b*c*x - a*c + 1))/(b^2*c^2)","A",0
126,1,90,0,0.304421," ","integrate(polylog(2,c*(b*x+a)),x, algorithm=""maxima"")","-\frac{{\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)} a}{b} + \frac{b c x {\rm Li}_2\left(b c x + a c\right) - b c x + {\left(b c x + a c - 1\right)} \log\left(-b c x - a c + 1\right)}{b c}"," ",0,"-(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))*a/b + (b*c*x*dilog(b*c*x + a*c) - b*c*x + (b*c*x + a*c - 1)*log(-b*c*x - a*c + 1))/(b*c)","A",0
127,0,0,0,0.000000," ","integrate(polylog(2,c*(b*x+a))/x,x, algorithm=""maxima"")","\int \frac{{\rm Li}_2\left({\left(b x + a\right)} c\right)}{x}\,{d x}"," ",0,"integrate(dilog((b*x + a)*c)/x, x)","F",0
128,1,114,0,0.319432," ","integrate(polylog(2,c*(b*x+a))/x^2,x, algorithm=""maxima"")","\frac{{\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)} b}{a} - \frac{{\left(\log\left(-b c x - a c + 1\right) \log\left(-\frac{b c x + a c - 1}{a c - 1} + 1\right) + {\rm Li}_2\left(\frac{b c x + a c - 1}{a c - 1}\right)\right)} b}{a} - \frac{{\rm Li}_2\left(b c x + a c\right)}{x}"," ",0,"(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))*b/a - (log(-b*c*x - a*c + 1)*log(-(b*c*x + a*c - 1)/(a*c - 1) + 1) + dilog((b*c*x + a*c - 1)/(a*c - 1)))*b/a - dilog(b*c*x + a*c)/x","A",0
129,1,193,0,0.313904," ","integrate(polylog(2,c*(b*x+a))/x^3,x, algorithm=""maxima"")","-\frac{b^{2} c \log\left(x\right)}{2 \, {\left(a^{2} c - a\right)}} - \frac{{\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)} b^{2}}{2 \, a^{2}} + \frac{{\left(\log\left(-b c x - a c + 1\right) \log\left(-\frac{b c x + a c - 1}{a c - 1} + 1\right) + {\rm Li}_2\left(\frac{b c x + a c - 1}{a c - 1}\right)\right)} b^{2}}{2 \, a^{2}} - \frac{{\left(a^{2} c - a\right)} {\rm Li}_2\left(b c x + a c\right) - {\left(b^{2} c x^{2} + {\left(a b c - b\right)} x\right)} \log\left(-b c x - a c + 1\right)}{2 \, {\left(a^{2} c - a\right)} x^{2}}"," ",0,"-1/2*b^2*c*log(x)/(a^2*c - a) - 1/2*(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))*b^2/a^2 + 1/2*(log(-b*c*x - a*c + 1)*log(-(b*c*x + a*c - 1)/(a*c - 1) + 1) + dilog((b*c*x + a*c - 1)/(a*c - 1)))*b^2/a^2 - 1/2*((a^2*c - a)*dilog(b*c*x + a*c) - (b^2*c*x^2 + (a*b*c - b)*x)*log(-b*c*x - a*c + 1))/((a^2*c - a)*x^2)","A",0
130,1,302,0,0.319097," ","integrate(polylog(2,c*(b*x+a))/x^4,x, algorithm=""maxima"")","\frac{{\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)} b^{3}}{3 \, a^{3}} - \frac{{\left(\log\left(-b c x - a c + 1\right) \log\left(-\frac{b c x + a c - 1}{a c - 1} + 1\right) + {\rm Li}_2\left(\frac{b c x + a c - 1}{a c - 1}\right)\right)} b^{3}}{3 \, a^{3}} + \frac{{\left(3 \, a b^{3} c^{2} - 2 \, b^{3} c\right)} \log\left(x\right)}{6 \, {\left(a^{4} c^{2} - 2 \, a^{3} c + a^{2}\right)}} + \frac{{\left(a^{2} b^{2} c^{2} - a b^{2} c\right)} x^{2} - 2 \, {\left(a^{4} c^{2} - 2 \, a^{3} c + a^{2}\right)} {\rm Li}_2\left(b c x + a c\right) - {\left({\left(3 \, a b^{3} c^{2} - 2 \, b^{3} c\right)} x^{3} + 2 \, {\left(a^{2} b^{2} c^{2} - 2 \, a b^{2} c + b^{2}\right)} x^{2} - {\left(a^{3} b c^{2} - 2 \, a^{2} b c + a b\right)} x\right)} \log\left(-b c x - a c + 1\right)}{6 \, {\left(a^{4} c^{2} - 2 \, a^{3} c + a^{2}\right)} x^{3}}"," ",0,"1/3*(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))*b^3/a^3 - 1/3*(log(-b*c*x - a*c + 1)*log(-(b*c*x + a*c - 1)/(a*c - 1) + 1) + dilog((b*c*x + a*c - 1)/(a*c - 1)))*b^3/a^3 + 1/6*(3*a*b^3*c^2 - 2*b^3*c)*log(x)/(a^4*c^2 - 2*a^3*c + a^2) + 1/6*((a^2*b^2*c^2 - a*b^2*c)*x^2 - 2*(a^4*c^2 - 2*a^3*c + a^2)*dilog(b*c*x + a*c) - ((3*a*b^3*c^2 - 2*b^3*c)*x^3 + 2*(a^2*b^2*c^2 - 2*a*b^2*c + b^2)*x^2 - (a^3*b*c^2 - 2*a^2*b*c + a*b)*x)*log(-b*c*x - a*c + 1))/((a^4*c^2 - 2*a^3*c + a^2)*x^3)","A",0
131,1,264,0,0.319682," ","integrate(x^2*polylog(3,c*(b*x+a)),x, algorithm=""maxima"")","\frac{11 \, {\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)} a^{3}}{18 \, b^{3}} + \frac{a^{3} {\rm Li}_{3}(b c x + a c)}{3 \, b^{3}} + \frac{216 \, b^{3} c^{3} x^{3} {\rm Li}_{3}(b c x + a c) + 8 \, b^{3} c^{3} x^{3} - 3 \, {\left(19 \, a b^{2} c^{3} - 4 \, b^{2} c^{2}\right)} x^{2} + 6 \, {\left(85 \, a^{2} b c^{3} - 23 \, a b c^{2} + 4 \, b c\right)} x - 36 \, {\left(2 \, b^{3} c^{3} x^{3} - 3 \, a b^{2} c^{3} x^{2} + 6 \, a^{2} b c^{3} x\right)} {\rm Li}_2\left(b c x + a c\right) - 6 \, {\left(4 \, b^{3} c^{3} x^{3} - 15 \, a b^{2} c^{3} x^{2} + 66 \, a^{2} b c^{3} x + 85 \, a^{3} c^{3} - 108 \, a^{2} c^{2} + 27 \, a c - 4\right)} \log\left(-b c x - a c + 1\right)}{648 \, b^{3} c^{3}}"," ",0,"11/18*(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))*a^3/b^3 + 1/3*a^3*polylog(3, b*c*x + a*c)/b^3 + 1/648*(216*b^3*c^3*x^3*polylog(3, b*c*x + a*c) + 8*b^3*c^3*x^3 - 3*(19*a*b^2*c^3 - 4*b^2*c^2)*x^2 + 6*(85*a^2*b*c^3 - 23*a*b*c^2 + 4*b*c)*x - 36*(2*b^3*c^3*x^3 - 3*a*b^2*c^3*x^2 + 6*a^2*b*c^3*x)*dilog(b*c*x + a*c) - 6*(4*b^3*c^3*x^3 - 15*a*b^2*c^3*x^2 + 66*a^2*b*c^3*x + 85*a^3*c^3 - 108*a^2*c^2 + 27*a*c - 4)*log(-b*c*x - a*c + 1))/(b^3*c^3)","A",0
132,1,193,0,0.315538," ","integrate(x*polylog(3,c*(b*x+a)),x, algorithm=""maxima"")","-\frac{3 \, {\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)} a^{2}}{4 \, b^{2}} - \frac{a^{2} {\rm Li}_{3}(b c x + a c)}{2 \, b^{2}} + \frac{8 \, b^{2} c^{2} x^{2} {\rm Li}_{3}(b c x + a c) + b^{2} c^{2} x^{2} - 2 \, {\left(7 \, a b c^{2} - b c\right)} x - 4 \, {\left(b^{2} c^{2} x^{2} - 2 \, a b c^{2} x\right)} {\rm Li}_2\left(b c x + a c\right) - 2 \, {\left(b^{2} c^{2} x^{2} - 6 \, a b c^{2} x - 7 \, a^{2} c^{2} + 8 \, a c - 1\right)} \log\left(-b c x - a c + 1\right)}{16 \, b^{2} c^{2}}"," ",0,"-3/4*(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))*a^2/b^2 - 1/2*a^2*polylog(3, b*c*x + a*c)/b^2 + 1/16*(8*b^2*c^2*x^2*polylog(3, b*c*x + a*c) + b^2*c^2*x^2 - 2*(7*a*b*c^2 - b*c)*x - 4*(b^2*c^2*x^2 - 2*a*b*c^2*x)*dilog(b*c*x + a*c) - 2*(b^2*c^2*x^2 - 6*a*b*c^2*x - 7*a^2*c^2 + 8*a*c - 1)*log(-b*c*x - a*c + 1))/(b^2*c^2)","A",0
133,1,120,0,0.326938," ","integrate(polylog(3,c*(b*x+a)),x, algorithm=""maxima"")","\frac{{\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)} a}{b} + \frac{a {\rm Li}_{3}(b c x + a c)}{b} - \frac{b c x {\rm Li}_2\left(b c x + a c\right) - b c x {\rm Li}_{3}(b c x + a c) - b c x + {\left(b c x + a c - 1\right)} \log\left(-b c x - a c + 1\right)}{b c}"," ",0,"(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))*a/b + a*polylog(3, b*c*x + a*c)/b - (b*c*x*dilog(b*c*x + a*c) - b*c*x*polylog(3, b*c*x + a*c) - b*c*x + (b*c*x + a*c - 1)*log(-b*c*x - a*c + 1))/(b*c)","A",0
134,0,0,0,0.000000," ","integrate(polylog(3,c*(b*x+a))/x,x, algorithm=""maxima"")","\int \frac{{\rm Li}_{3}({\left(b x + a\right)} c)}{x}\,{d x}"," ",0,"integrate(polylog(3, (b*x + a)*c)/x, x)","F",0
135,0,0,0,0.000000," ","integrate(polylog(3,c*(b*x+a))/x^2,x, algorithm=""maxima"")","b \int \frac{{\rm Li}_2\left(b c x + a c\right)}{b x^{2} + a x}\,{d x} - \frac{{\rm Li}_{3}(b c x + a c)}{x}"," ",0,"b*integrate(dilog(b*c*x + a*c)/(b*x^2 + a*x), x) - polylog(3, b*c*x + a*c)/x","F",0
136,0,0,0,0.000000," ","integrate(polylog(3,c*(b*x+a))/x^3,x, algorithm=""maxima"")","b \int \frac{{\rm Li}_2\left(b c x + a c\right)}{2 \, {\left(b x^{3} + a x^{2}\right)}}\,{d x} - \frac{{\rm Li}_{3}(b c x + a c)}{2 \, x^{2}}"," ",0,"b*integrate(1/2*dilog(b*c*x + a*c)/(b*x^3 + a*x^2), x) - 1/2*polylog(3, b*c*x + a*c)/x^2","F",0
137,1,681,0,0.351667," ","integrate((e*x+d)^3*polylog(2,c*(b*x+a)),x, algorithm=""maxima"")","-\frac{{\left(4 \, a b^{3} d^{3} - 6 \, a^{2} b^{2} d^{2} e + 4 \, a^{3} b d e^{2} - a^{4} e^{3}\right)} {\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)}}{4 \, b^{4}} - \frac{9 \, b^{4} c^{4} e^{3} x^{4} + 4 \, {\left(16 \, b^{4} c^{4} d e^{2} - {\left(7 \, a b^{3} c^{4} - 3 \, b^{3} c^{3}\right)} e^{3}\right)} x^{3} + 6 \, {\left(36 \, b^{4} c^{4} d^{2} e - 8 \, {\left(5 \, a b^{3} c^{4} - 2 \, b^{3} c^{3}\right)} d e^{2} + {\left(13 \, a^{2} b^{2} c^{4} - 10 \, a b^{2} c^{3} + 3 \, b^{2} c^{2}\right)} e^{3}\right)} x^{2} + 12 \, {\left(48 \, b^{4} c^{4} d^{3} - 36 \, {\left(3 \, a b^{3} c^{4} - b^{3} c^{3}\right)} d^{2} e + 8 \, {\left(11 \, a^{2} b^{2} c^{4} - 7 \, a b^{2} c^{3} + 2 \, b^{2} c^{2}\right)} d e^{2} - {\left(25 \, a^{3} b c^{4} - 23 \, a^{2} b c^{3} + 13 \, a b c^{2} - 3 \, b c\right)} e^{3}\right)} x - 144 \, {\left(b^{4} c^{4} e^{3} x^{4} + 4 \, b^{4} c^{4} d e^{2} x^{3} + 6 \, b^{4} c^{4} d^{2} e x^{2} + 4 \, b^{4} c^{4} d^{3} x\right)} {\rm Li}_2\left(b c x + a c\right) - 12 \, {\left(3 \, b^{4} c^{4} e^{3} x^{4} + 48 \, {\left(a b^{3} c^{4} - b^{3} c^{3}\right)} d^{3} - 36 \, {\left(3 \, a^{2} b^{2} c^{4} - 4 \, a b^{2} c^{3} + b^{2} c^{2}\right)} d^{2} e + 8 \, {\left(11 \, a^{3} b c^{4} - 18 \, a^{2} b c^{3} + 9 \, a b c^{2} - 2 \, b c\right)} d e^{2} - {\left(25 \, a^{4} c^{4} - 48 \, a^{3} c^{3} + 36 \, a^{2} c^{2} - 16 \, a c + 3\right)} e^{3} + 4 \, {\left(4 \, b^{4} c^{4} d e^{2} - a b^{3} c^{4} e^{3}\right)} x^{3} + 6 \, {\left(6 \, b^{4} c^{4} d^{2} e - 4 \, a b^{3} c^{4} d e^{2} + a^{2} b^{2} c^{4} e^{3}\right)} x^{2} + 12 \, {\left(4 \, b^{4} c^{4} d^{3} - 6 \, a b^{3} c^{4} d^{2} e + 4 \, a^{2} b^{2} c^{4} d e^{2} - a^{3} b c^{4} e^{3}\right)} x\right)} \log\left(-b c x - a c + 1\right)}{576 \, b^{4} c^{4}}"," ",0,"-1/4*(4*a*b^3*d^3 - 6*a^2*b^2*d^2*e + 4*a^3*b*d*e^2 - a^4*e^3)*(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))/b^4 - 1/576*(9*b^4*c^4*e^3*x^4 + 4*(16*b^4*c^4*d*e^2 - (7*a*b^3*c^4 - 3*b^3*c^3)*e^3)*x^3 + 6*(36*b^4*c^4*d^2*e - 8*(5*a*b^3*c^4 - 2*b^3*c^3)*d*e^2 + (13*a^2*b^2*c^4 - 10*a*b^2*c^3 + 3*b^2*c^2)*e^3)*x^2 + 12*(48*b^4*c^4*d^3 - 36*(3*a*b^3*c^4 - b^3*c^3)*d^2*e + 8*(11*a^2*b^2*c^4 - 7*a*b^2*c^3 + 2*b^2*c^2)*d*e^2 - (25*a^3*b*c^4 - 23*a^2*b*c^3 + 13*a*b*c^2 - 3*b*c)*e^3)*x - 144*(b^4*c^4*e^3*x^4 + 4*b^4*c^4*d*e^2*x^3 + 6*b^4*c^4*d^2*e*x^2 + 4*b^4*c^4*d^3*x)*dilog(b*c*x + a*c) - 12*(3*b^4*c^4*e^3*x^4 + 48*(a*b^3*c^4 - b^3*c^3)*d^3 - 36*(3*a^2*b^2*c^4 - 4*a*b^2*c^3 + b^2*c^2)*d^2*e + 8*(11*a^3*b*c^4 - 18*a^2*b*c^3 + 9*a*b*c^2 - 2*b*c)*d*e^2 - (25*a^4*c^4 - 48*a^3*c^3 + 36*a^2*c^2 - 16*a*c + 3)*e^3 + 4*(4*b^4*c^4*d*e^2 - a*b^3*c^4*e^3)*x^3 + 6*(6*b^4*c^4*d^2*e - 4*a*b^3*c^4*d*e^2 + a^2*b^2*c^4*e^3)*x^2 + 12*(4*b^4*c^4*d^3 - 6*a*b^3*c^4*d^2*e + 4*a^2*b^2*c^4*d*e^2 - a^3*b*c^4*e^3)*x)*log(-b*c*x - a*c + 1))/(b^4*c^4)","A",0
138,1,406,0,0.338036," ","integrate((e*x+d)^2*polylog(2,c*(b*x+a)),x, algorithm=""maxima"")","-\frac{{\left(3 \, a b^{2} d^{2} - 3 \, a^{2} b d e + a^{3} e^{2}\right)} {\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)}}{3 \, b^{3}} - \frac{4 \, b^{3} c^{3} e^{2} x^{3} + 3 \, {\left(9 \, b^{3} c^{3} d e - {\left(5 \, a b^{2} c^{3} - 2 \, b^{2} c^{2}\right)} e^{2}\right)} x^{2} + 6 \, {\left(18 \, b^{3} c^{3} d^{2} - 9 \, {\left(3 \, a b^{2} c^{3} - b^{2} c^{2}\right)} d e + {\left(11 \, a^{2} b c^{3} - 7 \, a b c^{2} + 2 \, b c\right)} e^{2}\right)} x - 36 \, {\left(b^{3} c^{3} e^{2} x^{3} + 3 \, b^{3} c^{3} d e x^{2} + 3 \, b^{3} c^{3} d^{2} x\right)} {\rm Li}_2\left(b c x + a c\right) - 6 \, {\left(2 \, b^{3} c^{3} e^{2} x^{3} + 18 \, {\left(a b^{2} c^{3} - b^{2} c^{2}\right)} d^{2} - 9 \, {\left(3 \, a^{2} b c^{3} - 4 \, a b c^{2} + b c\right)} d e + {\left(11 \, a^{3} c^{3} - 18 \, a^{2} c^{2} + 9 \, a c - 2\right)} e^{2} + 3 \, {\left(3 \, b^{3} c^{3} d e - a b^{2} c^{3} e^{2}\right)} x^{2} + 6 \, {\left(3 \, b^{3} c^{3} d^{2} - 3 \, a b^{2} c^{3} d e + a^{2} b c^{3} e^{2}\right)} x\right)} \log\left(-b c x - a c + 1\right)}{108 \, b^{3} c^{3}}"," ",0,"-1/3*(3*a*b^2*d^2 - 3*a^2*b*d*e + a^3*e^2)*(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))/b^3 - 1/108*(4*b^3*c^3*e^2*x^3 + 3*(9*b^3*c^3*d*e - (5*a*b^2*c^3 - 2*b^2*c^2)*e^2)*x^2 + 6*(18*b^3*c^3*d^2 - 9*(3*a*b^2*c^3 - b^2*c^2)*d*e + (11*a^2*b*c^3 - 7*a*b*c^2 + 2*b*c)*e^2)*x - 36*(b^3*c^3*e^2*x^3 + 3*b^3*c^3*d*e*x^2 + 3*b^3*c^3*d^2*x)*dilog(b*c*x + a*c) - 6*(2*b^3*c^3*e^2*x^3 + 18*(a*b^2*c^3 - b^2*c^2)*d^2 - 9*(3*a^2*b*c^3 - 4*a*b*c^2 + b*c)*d*e + (11*a^3*c^3 - 18*a^2*c^2 + 9*a*c - 2)*e^2 + 3*(3*b^3*c^3*d*e - a*b^2*c^3*e^2)*x^2 + 6*(3*b^3*c^3*d^2 - 3*a*b^2*c^3*d*e + a^2*b*c^3*e^2)*x)*log(-b*c*x - a*c + 1))/(b^3*c^3)","A",0
139,1,212,0,0.332946," ","integrate((e*x+d)*polylog(2,c*(b*x+a)),x, algorithm=""maxima"")","-\frac{{\left(2 \, a b d - a^{2} e\right)} {\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)}}{2 \, b^{2}} - \frac{b^{2} c^{2} e x^{2} + 2 \, {\left(4 \, b^{2} c^{2} d - {\left(3 \, a b c^{2} - b c\right)} e\right)} x - 4 \, {\left(b^{2} c^{2} e x^{2} + 2 \, b^{2} c^{2} d x\right)} {\rm Li}_2\left(b c x + a c\right) - 2 \, {\left(b^{2} c^{2} e x^{2} + 4 \, {\left(a b c^{2} - b c\right)} d - {\left(3 \, a^{2} c^{2} - 4 \, a c + 1\right)} e + 2 \, {\left(2 \, b^{2} c^{2} d - a b c^{2} e\right)} x\right)} \log\left(-b c x - a c + 1\right)}{8 \, b^{2} c^{2}}"," ",0,"-1/2*(2*a*b*d - a^2*e)*(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))/b^2 - 1/8*(b^2*c^2*e*x^2 + 2*(4*b^2*c^2*d - (3*a*b*c^2 - b*c)*e)*x - 4*(b^2*c^2*e*x^2 + 2*b^2*c^2*d*x)*dilog(b*c*x + a*c) - 2*(b^2*c^2*e*x^2 + 4*(a*b*c^2 - b*c)*d - (3*a^2*c^2 - 4*a*c + 1)*e + 2*(2*b^2*c^2*d - a*b*c^2*e)*x)*log(-b*c*x - a*c + 1))/(b^2*c^2)","A",0
140,1,90,0,0.313678," ","integrate(polylog(2,c*(b*x+a)),x, algorithm=""maxima"")","-\frac{{\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)} a}{b} + \frac{b c x {\rm Li}_2\left(b c x + a c\right) - b c x + {\left(b c x + a c - 1\right)} \log\left(-b c x - a c + 1\right)}{b c}"," ",0,"-(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))*a/b + (b*c*x*dilog(b*c*x + a*c) - b*c*x + (b*c*x + a*c - 1)*log(-b*c*x - a*c + 1))/(b*c)","A",0
141,0,0,0,0.000000," ","integrate(polylog(2,c*(b*x+a))/(e*x+d),x, algorithm=""maxima"")","\int \frac{{\rm Li}_2\left({\left(b x + a\right)} c\right)}{e x + d}\,{d x}"," ",0,"integrate(dilog((b*x + a)*c)/(e*x + d), x)","F",0
142,1,166,0,0.319293," ","integrate(polylog(2,c*(b*x+a))/(e*x+d)^2,x, algorithm=""maxima"")","-\frac{{\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)} b}{b d e - a e^{2}} + \frac{{\left(\log\left(-b c x - a c + 1\right) \log\left(\frac{b c e x + {\left(a c - 1\right)} e}{b c d - {\left(a c - 1\right)} e} + 1\right) + {\rm Li}_2\left(-\frac{b c e x + {\left(a c - 1\right)} e}{b c d - {\left(a c - 1\right)} e}\right)\right)} b}{b d e - a e^{2}} - \frac{{\rm Li}_2\left(b c x + a c\right)}{e^{2} x + d e}"," ",0,"-(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))*b/(b*d*e - a*e^2) + (log(-b*c*x - a*c + 1)*log((b*c*e*x + (a*c - 1)*e)/(b*c*d - (a*c - 1)*e) + 1) + dilog(-(b*c*e*x + (a*c - 1)*e)/(b*c*d - (a*c - 1)*e)))*b/(b*d*e - a*e^2) - dilog(b*c*x + a*c)/(e^2*x + d*e)","A",0
143,1,379,0,0.323735," ","integrate(polylog(2,c*(b*x+a))/(e*x+d)^3,x, algorithm=""maxima"")","\frac{b^{2} c \log\left(b c x + a c - 1\right)}{2 \, {\left(b^{2} c d^{2} e - {\left(2 \, a b c - b\right)} d e^{2} + {\left(a^{2} c - a\right)} e^{3}\right)}} - \frac{b^{2} c \log\left(e x + d\right)}{2 \, {\left(b^{2} c d^{2} e - {\left(2 \, a b c - b\right)} d e^{2} + {\left(a^{2} c - a\right)} e^{3}\right)}} - \frac{{\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)} b^{2}}{2 \, {\left(b^{2} d^{2} e - 2 \, a b d e^{2} + a^{2} e^{3}\right)}} + \frac{{\left(\log\left(-b c x - a c + 1\right) \log\left(\frac{b c e x + {\left(a c - 1\right)} e}{b c d - {\left(a c - 1\right)} e} + 1\right) + {\rm Li}_2\left(-\frac{b c e x + {\left(a c - 1\right)} e}{b c d - {\left(a c - 1\right)} e}\right)\right)} b^{2}}{2 \, {\left(b^{2} d^{2} e - 2 \, a b d e^{2} + a^{2} e^{3}\right)}} - \frac{{\left(b d - a e\right)} {\rm Li}_2\left(b c x + a c\right) + {\left(b e x + b d\right)} \log\left(-b c x - a c + 1\right)}{2 \, {\left(b d^{3} e - a d^{2} e^{2} + {\left(b d e^{3} - a e^{4}\right)} x^{2} + 2 \, {\left(b d^{2} e^{2} - a d e^{3}\right)} x\right)}}"," ",0,"1/2*b^2*c*log(b*c*x + a*c - 1)/(b^2*c*d^2*e - (2*a*b*c - b)*d*e^2 + (a^2*c - a)*e^3) - 1/2*b^2*c*log(e*x + d)/(b^2*c*d^2*e - (2*a*b*c - b)*d*e^2 + (a^2*c - a)*e^3) - 1/2*(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))*b^2/(b^2*d^2*e - 2*a*b*d*e^2 + a^2*e^3) + 1/2*(log(-b*c*x - a*c + 1)*log((b*c*e*x + (a*c - 1)*e)/(b*c*d - (a*c - 1)*e) + 1) + dilog(-(b*c*e*x + (a*c - 1)*e)/(b*c*d - (a*c - 1)*e)))*b^2/(b^2*d^2*e - 2*a*b*d*e^2 + a^2*e^3) - 1/2*((b*d - a*e)*dilog(b*c*x + a*c) + (b*e*x + b*d)*log(-b*c*x - a*c + 1))/(b*d^3*e - a*d^2*e^2 + (b*d*e^3 - a*e^4)*x^2 + 2*(b*d^2*e^2 - a*d*e^3)*x)","A",0
144,1,1428,0,0.384203," ","integrate(polylog(2,c*(b*x+a))/(e*x+d)^4,x, algorithm=""maxima"")","-\frac{{\left(\log\left(b c x + a c\right) \log\left(-b c x - a c + 1\right) + {\rm Li}_2\left(-b c x - a c + 1\right)\right)} b^{3}}{3 \, {\left(b^{3} d^{3} e - 3 \, a b^{2} d^{2} e^{2} + 3 \, a^{2} b d e^{3} - a^{3} e^{4}\right)}} + \frac{{\left(\log\left(-b c x - a c + 1\right) \log\left(\frac{b c e x + {\left(a c - 1\right)} e}{b c d - {\left(a c - 1\right)} e} + 1\right) + {\rm Li}_2\left(-\frac{b c e x + {\left(a c - 1\right)} e}{b c d - {\left(a c - 1\right)} e}\right)\right)} b^{3}}{3 \, {\left(b^{3} d^{3} e - 3 \, a b^{2} d^{2} e^{2} + 3 \, a^{2} b d e^{3} - a^{3} e^{4}\right)}} - \frac{{\left(3 \, b^{4} c^{2} d - {\left(3 \, a b^{3} c^{2} - 2 \, b^{3} c\right)} e\right)} \log\left(e x + d\right)}{6 \, {\left(b^{4} c^{2} d^{4} e - 2 \, {\left(2 \, a b^{3} c^{2} - b^{3} c\right)} d^{3} e^{2} + {\left(6 \, a^{2} b^{2} c^{2} - 6 \, a b^{2} c + b^{2}\right)} d^{2} e^{3} - 2 \, {\left(2 \, a^{3} b c^{2} - 3 \, a^{2} b c + a b\right)} d e^{4} + {\left(a^{4} c^{2} - 2 \, a^{3} c + a^{2}\right)} e^{5}\right)}} + \frac{b^{4} c^{2} d^{4} - {\left(2 \, a b^{3} c^{2} - b^{3} c\right)} d^{3} e + {\left(a^{2} b^{2} c^{2} - a b^{2} c\right)} d^{2} e^{2} + {\left(b^{4} c^{2} d^{2} e^{2} - {\left(2 \, a b^{3} c^{2} - b^{3} c\right)} d e^{3} + {\left(a^{2} b^{2} c^{2} - a b^{2} c\right)} e^{4}\right)} x^{2} + 2 \, {\left(b^{4} c^{2} d^{3} e - {\left(2 \, a b^{3} c^{2} - b^{3} c\right)} d^{2} e^{2} + {\left(a^{2} b^{2} c^{2} - a b^{2} c\right)} d e^{3}\right)} x - 2 \, {\left(b^{4} c^{2} d^{4} - 2 \, {\left(2 \, a b^{3} c^{2} - b^{3} c\right)} d^{3} e + {\left(6 \, a^{2} b^{2} c^{2} - 6 \, a b^{2} c + b^{2}\right)} d^{2} e^{2} - 2 \, {\left(2 \, a^{3} b c^{2} - 3 \, a^{2} b c + a b\right)} d e^{3} + {\left(a^{4} c^{2} - 2 \, a^{3} c + a^{2}\right)} e^{4}\right)} {\rm Li}_2\left(b c x + a c\right) + {\left(4 \, {\left(a b^{3} c^{2} - b^{3} c\right)} d^{3} e - {\left(5 \, a^{2} b^{2} c^{2} - 8 \, a b^{2} c + 3 \, b^{2}\right)} d^{2} e^{2} + {\left(a^{3} b c^{2} - 2 \, a^{2} b c + a b\right)} d e^{3} + {\left(3 \, b^{4} c^{2} d e^{3} - {\left(3 \, a b^{3} c^{2} - 2 \, b^{3} c\right)} e^{4}\right)} x^{3} + {\left(7 \, b^{4} c^{2} d^{2} e^{2} - {\left(5 \, a b^{3} c^{2} - 2 \, b^{3} c\right)} d e^{3} - 2 \, {\left(a^{2} b^{2} c^{2} - 2 \, a b^{2} c + b^{2}\right)} e^{4}\right)} x^{2} + {\left(4 \, b^{4} c^{2} d^{3} e + 2 \, {\left(a b^{3} c^{2} - 2 \, b^{3} c\right)} d^{2} e^{2} - {\left(7 \, a^{2} b^{2} c^{2} - 12 \, a b^{2} c + 5 \, b^{2}\right)} d e^{3} + {\left(a^{3} b c^{2} - 2 \, a^{2} b c + a b\right)} e^{4}\right)} x\right)} \log\left(-b c x - a c + 1\right)}{6 \, {\left(b^{4} c^{2} d^{7} e - 2 \, {\left(2 \, a b^{3} c^{2} - b^{3} c\right)} d^{6} e^{2} + {\left(6 \, a^{2} b^{2} c^{2} - 6 \, a b^{2} c + b^{2}\right)} d^{5} e^{3} - 2 \, {\left(2 \, a^{3} b c^{2} - 3 \, a^{2} b c + a b\right)} d^{4} e^{4} + {\left(a^{4} c^{2} - 2 \, a^{3} c + a^{2}\right)} d^{3} e^{5} + {\left(b^{4} c^{2} d^{4} e^{4} - 2 \, {\left(2 \, a b^{3} c^{2} - b^{3} c\right)} d^{3} e^{5} + {\left(6 \, a^{2} b^{2} c^{2} - 6 \, a b^{2} c + b^{2}\right)} d^{2} e^{6} - 2 \, {\left(2 \, a^{3} b c^{2} - 3 \, a^{2} b c + a b\right)} d e^{7} + {\left(a^{4} c^{2} - 2 \, a^{3} c + a^{2}\right)} e^{8}\right)} x^{3} + 3 \, {\left(b^{4} c^{2} d^{5} e^{3} - 2 \, {\left(2 \, a b^{3} c^{2} - b^{3} c\right)} d^{4} e^{4} + {\left(6 \, a^{2} b^{2} c^{2} - 6 \, a b^{2} c + b^{2}\right)} d^{3} e^{5} - 2 \, {\left(2 \, a^{3} b c^{2} - 3 \, a^{2} b c + a b\right)} d^{2} e^{6} + {\left(a^{4} c^{2} - 2 \, a^{3} c + a^{2}\right)} d e^{7}\right)} x^{2} + 3 \, {\left(b^{4} c^{2} d^{6} e^{2} - 2 \, {\left(2 \, a b^{3} c^{2} - b^{3} c\right)} d^{5} e^{3} + {\left(6 \, a^{2} b^{2} c^{2} - 6 \, a b^{2} c + b^{2}\right)} d^{4} e^{4} - 2 \, {\left(2 \, a^{3} b c^{2} - 3 \, a^{2} b c + a b\right)} d^{3} e^{5} + {\left(a^{4} c^{2} - 2 \, a^{3} c + a^{2}\right)} d^{2} e^{6}\right)} x\right)}}"," ",0,"-1/3*(log(b*c*x + a*c)*log(-b*c*x - a*c + 1) + dilog(-b*c*x - a*c + 1))*b^3/(b^3*d^3*e - 3*a*b^2*d^2*e^2 + 3*a^2*b*d*e^3 - a^3*e^4) + 1/3*(log(-b*c*x - a*c + 1)*log((b*c*e*x + (a*c - 1)*e)/(b*c*d - (a*c - 1)*e) + 1) + dilog(-(b*c*e*x + (a*c - 1)*e)/(b*c*d - (a*c - 1)*e)))*b^3/(b^3*d^3*e - 3*a*b^2*d^2*e^2 + 3*a^2*b*d*e^3 - a^3*e^4) - 1/6*(3*b^4*c^2*d - (3*a*b^3*c^2 - 2*b^3*c)*e)*log(e*x + d)/(b^4*c^2*d^4*e - 2*(2*a*b^3*c^2 - b^3*c)*d^3*e^2 + (6*a^2*b^2*c^2 - 6*a*b^2*c + b^2)*d^2*e^3 - 2*(2*a^3*b*c^2 - 3*a^2*b*c + a*b)*d*e^4 + (a^4*c^2 - 2*a^3*c + a^2)*e^5) + 1/6*(b^4*c^2*d^4 - (2*a*b^3*c^2 - b^3*c)*d^3*e + (a^2*b^2*c^2 - a*b^2*c)*d^2*e^2 + (b^4*c^2*d^2*e^2 - (2*a*b^3*c^2 - b^3*c)*d*e^3 + (a^2*b^2*c^2 - a*b^2*c)*e^4)*x^2 + 2*(b^4*c^2*d^3*e - (2*a*b^3*c^2 - b^3*c)*d^2*e^2 + (a^2*b^2*c^2 - a*b^2*c)*d*e^3)*x - 2*(b^4*c^2*d^4 - 2*(2*a*b^3*c^2 - b^3*c)*d^3*e + (6*a^2*b^2*c^2 - 6*a*b^2*c + b^2)*d^2*e^2 - 2*(2*a^3*b*c^2 - 3*a^2*b*c + a*b)*d*e^3 + (a^4*c^2 - 2*a^3*c + a^2)*e^4)*dilog(b*c*x + a*c) + (4*(a*b^3*c^2 - b^3*c)*d^3*e - (5*a^2*b^2*c^2 - 8*a*b^2*c + 3*b^2)*d^2*e^2 + (a^3*b*c^2 - 2*a^2*b*c + a*b)*d*e^3 + (3*b^4*c^2*d*e^3 - (3*a*b^3*c^2 - 2*b^3*c)*e^4)*x^3 + (7*b^4*c^2*d^2*e^2 - (5*a*b^3*c^2 - 2*b^3*c)*d*e^3 - 2*(a^2*b^2*c^2 - 2*a*b^2*c + b^2)*e^4)*x^2 + (4*b^4*c^2*d^3*e + 2*(a*b^3*c^2 - 2*b^3*c)*d^2*e^2 - (7*a^2*b^2*c^2 - 12*a*b^2*c + 5*b^2)*d*e^3 + (a^3*b*c^2 - 2*a^2*b*c + a*b)*e^4)*x)*log(-b*c*x - a*c + 1))/(b^4*c^2*d^7*e - 2*(2*a*b^3*c^2 - b^3*c)*d^6*e^2 + (6*a^2*b^2*c^2 - 6*a*b^2*c + b^2)*d^5*e^3 - 2*(2*a^3*b*c^2 - 3*a^2*b*c + a*b)*d^4*e^4 + (a^4*c^2 - 2*a^3*c + a^2)*d^3*e^5 + (b^4*c^2*d^4*e^4 - 2*(2*a*b^3*c^2 - b^3*c)*d^3*e^5 + (6*a^2*b^2*c^2 - 6*a*b^2*c + b^2)*d^2*e^6 - 2*(2*a^3*b*c^2 - 3*a^2*b*c + a*b)*d*e^7 + (a^4*c^2 - 2*a^3*c + a^2)*e^8)*x^3 + 3*(b^4*c^2*d^5*e^3 - 2*(2*a*b^3*c^2 - b^3*c)*d^4*e^4 + (6*a^2*b^2*c^2 - 6*a*b^2*c + b^2)*d^3*e^5 - 2*(2*a^3*b*c^2 - 3*a^2*b*c + a*b)*d^2*e^6 + (a^4*c^2 - 2*a^3*c + a^2)*d*e^7)*x^2 + 3*(b^4*c^2*d^6*e^2 - 2*(2*a*b^3*c^2 - b^3*c)*d^5*e^3 + (6*a^2*b^2*c^2 - 6*a*b^2*c + b^2)*d^4*e^4 - 2*(2*a^3*b*c^2 - 3*a^2*b*c + a*b)*d^3*e^5 + (a^4*c^2 - 2*a^3*c + a^2)*d^2*e^6)*x)","B",0
145,1,44,0,0.312415," ","integrate(polylog(2,x)/(-1+x),x, algorithm=""maxima"")","\log\left(x\right) \log\left(-x + 1\right)^{2} + {\rm Li}_2\left(x\right) \log\left(-x + 1\right) + 2 \, {\rm Li}_2\left(-x + 1\right) \log\left(-x + 1\right) - 2 \, {\rm Li}_{3}(-x + 1)"," ",0,"log(x)*log(-x + 1)^2 + dilog(x)*log(-x + 1) + 2*dilog(-x + 1)*log(-x + 1) - 2*polylog(3, -x + 1)","A",0
146,1,44,0,0.303962," ","integrate(-polylog(2,x)/(1-x),x, algorithm=""maxima"")","\log\left(x\right) \log\left(-x + 1\right)^{2} + {\rm Li}_2\left(x\right) \log\left(-x + 1\right) + 2 \, {\rm Li}_2\left(-x + 1\right) \log\left(-x + 1\right) - 2 \, {\rm Li}_{3}(-x + 1)"," ",0,"log(x)*log(-x + 1)^2 + dilog(x)*log(-x + 1) + 2*dilog(-x + 1)*log(-x + 1) - 2*polylog(3, -x + 1)","A",0
147,1,49,0,0.327528," ","integrate(polylog(2,x)/(-1+x)/x,x, algorithm=""maxima"")","\log\left(x\right) \log\left(-x + 1\right)^{2} + {\rm Li}_2\left(x\right) \log\left(-x + 1\right) + 2 \, {\rm Li}_2\left(-x + 1\right) \log\left(-x + 1\right) - {\rm Li}_{3}(x) - 2 \, {\rm Li}_{3}(-x + 1)"," ",0,"log(x)*log(-x + 1)^2 + dilog(x)*log(-x + 1) + 2*dilog(-x + 1)*log(-x + 1) - polylog(3, x) - 2*polylog(3, -x + 1)","A",0
148,1,49,0,0.311324," ","integrate(-polylog(2,x)/(1-x)/x,x, algorithm=""maxima"")","\log\left(x\right) \log\left(-x + 1\right)^{2} + {\rm Li}_2\left(x\right) \log\left(-x + 1\right) + 2 \, {\rm Li}_2\left(-x + 1\right) \log\left(-x + 1\right) - {\rm Li}_{3}(x) - 2 \, {\rm Li}_{3}(-x + 1)"," ",0,"log(x)*log(-x + 1)^2 + dilog(x)*log(-x + 1) + 2*dilog(-x + 1)*log(-x + 1) - polylog(3, x) - 2*polylog(3, -x + 1)","A",0
149,0,0,0,0.000000," ","integrate(polylog(n,e*((b*x+a)/(d*x+c))^n)/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\rm Li}_{n}(e \left(\frac{b x + a}{d x + c}\right)^{n})}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(polylog(n, e*((b*x + a)/(d*x + c))^n)/((b*x + a)*(d*x + c)), x)","F",0
150,0,0,0,0.000000," ","integrate(polylog(3,e*((b*x+a)/(d*x+c))^n)/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","-\frac{3 \, {\left(n \log\left(b x + a\right)^{2} - 2 \, n \log\left(b x + a\right) \log\left(d x + c\right) + n \log\left(d x + c\right)^{2}\right)} {\rm Li}_2\left(e e^{\left(n \log\left(b x + a\right) - n \log\left(d x + c\right)\right)}\right) + {\left(n^{2} \log\left(b x + a\right)^{3} - 3 \, n^{2} \log\left(b x + a\right)^{2} \log\left(d x + c\right) + 3 \, n^{2} \log\left(b x + a\right) \log\left(d x + c\right)^{2} - n^{2} \log\left(d x + c\right)^{3}\right)} \log\left(-{\left(b x + a\right)}^{n} e + {\left(d x + c\right)}^{n}\right) - {\left(n^{2} \log\left(b x + a\right)^{3} - 3 \, n^{2} \log\left(b x + a\right)^{2} \log\left(d x + c\right) + 3 \, n^{2} \log\left(b x + a\right) \log\left(d x + c\right)^{2} - n^{2} \log\left(d x + c\right)^{3}\right)} \log\left({\left(d x + c\right)}^{n}\right) - 6 \, {\left(\log\left(b x + a\right) - \log\left(d x + c\right)\right)} {\rm Li}_{3}(e e^{\left(n \log\left(b x + a\right) - n \log\left(d x + c\right)\right)})}{6 \, {\left(b c - a d\right)}} + \int \frac{{\left(e n^{3} \log\left(b x + a\right)^{3} - 3 \, e n^{3} \log\left(b x + a\right)^{2} \log\left(d x + c\right) + 3 \, e n^{3} \log\left(b x + a\right) \log\left(d x + c\right)^{2} - e n^{3} \log\left(d x + c\right)^{3}\right)} {\left(b x + a\right)}^{n}}{6 \, {\left({\left(b d e x^{2} + a c e + {\left(b c e + a d e\right)} x\right)} {\left(b x + a\right)}^{n} - {\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)} {\left(d x + c\right)}^{n}\right)}}\,{d x}"," ",0,"-1/6*(3*(n*log(b*x + a)^2 - 2*n*log(b*x + a)*log(d*x + c) + n*log(d*x + c)^2)*dilog(e*e^(n*log(b*x + a) - n*log(d*x + c))) + (n^2*log(b*x + a)^3 - 3*n^2*log(b*x + a)^2*log(d*x + c) + 3*n^2*log(b*x + a)*log(d*x + c)^2 - n^2*log(d*x + c)^3)*log(-(b*x + a)^n*e + (d*x + c)^n) - (n^2*log(b*x + a)^3 - 3*n^2*log(b*x + a)^2*log(d*x + c) + 3*n^2*log(b*x + a)*log(d*x + c)^2 - n^2*log(d*x + c)^3)*log((d*x + c)^n) - 6*(log(b*x + a) - log(d*x + c))*polylog(3, e*e^(n*log(b*x + a) - n*log(d*x + c))))/(b*c - a*d) + integrate(1/6*(e*n^3*log(b*x + a)^3 - 3*e*n^3*log(b*x + a)^2*log(d*x + c) + 3*e*n^3*log(b*x + a)*log(d*x + c)^2 - e*n^3*log(d*x + c)^3)*(b*x + a)^n/((b*d*e*x^2 + a*c*e + (b*c*e + a*d*e)*x)*(b*x + a)^n - (b*d*x^2 + a*c + (b*c + a*d)*x)*(d*x + c)^n), x)","F",0
151,0,0,0,0.000000," ","integrate(polylog(2,e*((b*x+a)/(d*x+c))^n)/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\frac{2 \, {\left(\log\left(b x + a\right) - \log\left(d x + c\right)\right)} {\rm Li}_2\left(e e^{\left(n \log\left(b x + a\right) - n \log\left(d x + c\right)\right)}\right) + {\left(n \log\left(b x + a\right)^{2} - 2 \, n \log\left(b x + a\right) \log\left(d x + c\right) + n \log\left(d x + c\right)^{2}\right)} \log\left(-{\left(b x + a\right)}^{n} e + {\left(d x + c\right)}^{n}\right) - {\left(n \log\left(b x + a\right)^{2} - 2 \, n \log\left(b x + a\right) \log\left(d x + c\right) + n \log\left(d x + c\right)^{2}\right)} \log\left({\left(d x + c\right)}^{n}\right)}{2 \, {\left(b c - a d\right)}} + \int -\frac{{\left(e n^{2} \log\left(b x + a\right)^{2} - 2 \, e n^{2} \log\left(b x + a\right) \log\left(d x + c\right) + e n^{2} \log\left(d x + c\right)^{2}\right)} {\left(b x + a\right)}^{n}}{2 \, {\left({\left(b d e x^{2} + a c e + {\left(b c + a d\right)} e x\right)} {\left(b x + a\right)}^{n} - {\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)} {\left(d x + c\right)}^{n}\right)}}\,{d x}"," ",0,"1/2*(2*(log(b*x + a) - log(d*x + c))*dilog(e*e^(n*log(b*x + a) - n*log(d*x + c))) + (n*log(b*x + a)^2 - 2*n*log(b*x + a)*log(d*x + c) + n*log(d*x + c)^2)*log(-(b*x + a)^n*e + (d*x + c)^n) - (n*log(b*x + a)^2 - 2*n*log(b*x + a)*log(d*x + c) + n*log(d*x + c)^2)*log((d*x + c)^n))/(b*c - a*d) + integrate(-1/2*(e*n^2*log(b*x + a)^2 - 2*e*n^2*log(b*x + a)*log(d*x + c) + e*n^2*log(d*x + c)^2)*(b*x + a)^n/((b*d*e*x^2 + a*c*e + (b*c + a*d)*e*x)*(b*x + a)^n - (b*d*x^2 + a*c + (b*c + a*d)*x)*(d*x + c)^n), x)","F",0
152,0,0,0,0.000000," ","integrate(-log(1-e*((b*x+a)/(d*x+c))^n)/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","-\frac{{\left(\log\left(b x + a\right) - \log\left(d x + c\right)\right)} \log\left(-{\left(b x + a\right)}^{n} e + {\left(d x + c\right)}^{n}\right) - {\left(\log\left(b x + a\right) - \log\left(d x + c\right)\right)} \log\left({\left(d x + c\right)}^{n}\right)}{b c - a d} + \int \frac{{\left(e n \log\left(b x + a\right) - e n \log\left(d x + c\right)\right)} {\left(b x + a\right)}^{n}}{{\left(b d e x^{2} + a c e + {\left(b c e + a d e\right)} x\right)} {\left(b x + a\right)}^{n} - {\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)} {\left(d x + c\right)}^{n}}\,{d x}"," ",0,"-((log(b*x + a) - log(d*x + c))*log(-(b*x + a)^n*e + (d*x + c)^n) - (log(b*x + a) - log(d*x + c))*log((d*x + c)^n))/(b*c - a*d) + integrate((e*n*log(b*x + a) - e*n*log(d*x + c))*(b*x + a)^n/((b*d*e*x^2 + a*c*e + (b*c*e + a*d*e)*x)*(b*x + a)^n - (b*d*x^2 + a*c + (b*c + a*d)*x)*(d*x + c)^n), x)","F",0
153,1,58,0,0.331495," ","integrate(-e*((b*x+a)/(d*x+c))^n/(-1+e*((b*x+a)/(d*x+c))^n)/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","-e {\left(\frac{\log\left(-{\left(b x + a\right)}^{n} e + {\left(d x + c\right)}^{n}\right)}{b c e n - a d e n} - \frac{\log\left(d x + c\right)}{b c e - a d e}\right)}"," ",0,"-e*(log(-(b*x + a)^n*e + (d*x + c)^n)/(b*c*e*n - a*d*e*n) - log(d*x + c)/(b*c*e - a*d*e))","A",0
154,1,52,0,0.332161," ","integrate(e*((b*x+a)/(d*x+c))^n/(-1+e*((b*x+a)/(d*x+c))^n)^2/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","-\frac{{\left(b x + a\right)}^{n} e}{{\left(b c e n - a d e n\right)} {\left(b x + a\right)}^{n} - {\left(b c n - a d n\right)} {\left(d x + c\right)}^{n}}"," ",0,"-(b*x + a)^n*e/((b*c*e*n - a*d*e*n)*(b*x + a)^n - (b*c*n - a*d*n)*(d*x + c)^n)","A",0
155,1,211,0,0.375310," ","integrate(-(1+e*((b*x+a)/(d*x+c))^n)*e*((b*x+a)/(d*x+c))^n/(-1+e*((b*x+a)/(d*x+c))^n)^3/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\frac{{\left(b x + a\right)}^{2 \, n} e}{{\left(b c e^{2} n - a d e^{2} n\right)} {\left(b x + a\right)}^{2 \, n} + {\left(b c n - a d n\right)} {\left(d x + c\right)}^{2 \, n} - 2 \, {\left(b c e n - a d e n\right)} e^{\left(n \log\left(b x + a\right) + n \log\left(d x + c\right)\right)}} - \frac{{\left(b x + a\right)}^{2 \, n} e - 2 \, e^{\left(n \log\left(b x + a\right) + n \log\left(d x + c\right)\right)}}{{\left(b c e^{2} n - a d e^{2} n\right)} {\left(b x + a\right)}^{2 \, n} + {\left(b c n - a d n\right)} {\left(d x + c\right)}^{2 \, n} - 2 \, {\left(b c e n - a d e n\right)} e^{\left(n \log\left(b x + a\right) + n \log\left(d x + c\right)\right)}}\right)} e"," ",0,"1/2*((b*x + a)^(2*n)*e/((b*c*e^2*n - a*d*e^2*n)*(b*x + a)^(2*n) + (b*c*n - a*d*n)*(d*x + c)^(2*n) - 2*(b*c*e*n - a*d*e*n)*e^(n*log(b*x + a) + n*log(d*x + c))) - ((b*x + a)^(2*n)*e - 2*e^(n*log(b*x + a) + n*log(d*x + c)))/((b*c*e^2*n - a*d*e^2*n)*(b*x + a)^(2*n) + (b*c*n - a*d*n)*(d*x + c)^(2*n) - 2*(b*c*e*n - a*d*e*n)*e^(n*log(b*x + a) + n*log(d*x + c))))*e","B",0
156,0,0,0,0.000000," ","integrate(x^3*polylog(n,d*(F^(c*(b*x+a)))^p),x, algorithm=""maxima"")","\int x^{3} {\rm Li}_{n}({\left(F^{{\left(b x + a\right)} c}\right)}^{p} d)\,{d x}"," ",0,"integrate(x^3*polylog(n, (F^((b*x + a)*c))^p*d), x)","F",0
157,0,0,0,0.000000," ","integrate(x^2*polylog(n,d*(F^(c*(b*x+a)))^p),x, algorithm=""maxima"")","\int x^{2} {\rm Li}_{n}({\left(F^{{\left(b x + a\right)} c}\right)}^{p} d)\,{d x}"," ",0,"integrate(x^2*polylog(n, (F^((b*x + a)*c))^p*d), x)","F",0
158,0,0,0,0.000000," ","integrate(x*polylog(n,d*(F^(c*(b*x+a)))^p),x, algorithm=""maxima"")","\int x {\rm Li}_{n}({\left(F^{{\left(b x + a\right)} c}\right)}^{p} d)\,{d x}"," ",0,"integrate(x*polylog(n, (F^((b*x + a)*c))^p*d), x)","F",0
159,0,0,0,0.000000," ","integrate(polylog(n,d*(F^(c*(b*x+a)))^p),x, algorithm=""maxima"")","\int {\rm Li}_{n}({\left(F^{{\left(b x + a\right)} c}\right)}^{p} d)\,{d x}"," ",0,"integrate(polylog(n, (F^((b*x + a)*c))^p*d), x)","F",0
160,0,0,0,0.000000," ","integrate(polylog(n,d*(F^(c*(b*x+a)))^p)/x,x, algorithm=""maxima"")","\int \frac{{\rm Li}_{n}({\left(F^{{\left(b x + a\right)} c}\right)}^{p} d)}{x}\,{d x}"," ",0,"integrate(polylog(n, (F^((b*x + a)*c))^p*d)/x, x)","F",0
161,1,376,0,0.346698," ","integrate(x^3*log(-c*x+1)*polylog(2,c*x),x, algorithm=""maxima"")","\frac{9 \, c^{4} {\left(\frac{3 \, c^{3} x^{4} + 4 \, c^{2} x^{3} + 6 \, c x^{2} + 12 \, x}{c^{4}} + \frac{12 \, \log\left(c x - 1\right)}{c^{5}}\right)} + 24 \, c^{3} {\left(\frac{2 \, c^{2} x^{3} + 3 \, c x^{2} + 6 \, x}{c^{3}} + \frac{6 \, \log\left(c x - 1\right)}{c^{4}}\right)} + 108 \, c^{2} {\left(\frac{c x^{2} + 2 \, x}{c^{2}} + \frac{2 \, \log\left(c x - 1\right)}{c^{3}}\right)} + 432 \, c {\left(\frac{x}{c} + \frac{\log\left(c x - 1\right)}{c^{2}}\right)} + \frac{2 \, {\left(27 \, c^{4} x^{4} + 92 \, c^{3} x^{3} + 300 \, c^{2} x^{2} + 1680 \, c x - 72 \, {\left(3 \, c^{4} x^{4} + 4 \, c^{3} x^{3} + 6 \, c^{2} x^{2} + 12 \, c x + 12 \, \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right) - 12 \, {\left(9 \, c^{4} x^{4} + 14 \, c^{3} x^{3} + 27 \, c^{2} x^{2} + 90 \, c x - 140\right)} \log\left(-c x + 1\right)\right)}}{c} - \frac{1728 \, {\left(\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)\right)}}{c}}{6912 \, c^{3}} + \frac{{\left(48 \, c^{4} x^{4} {\rm Li}_2\left(c x\right) - 3 \, c^{4} x^{4} - 4 \, c^{3} x^{3} - 6 \, c^{2} x^{2} - 12 \, c x + 12 \, {\left(c^{4} x^{4} - 1\right)} \log\left(-c x + 1\right)\right)} \log\left(-c x + 1\right)}{192 \, c^{4}}"," ",0,"1/6912*(9*c^4*((3*c^3*x^4 + 4*c^2*x^3 + 6*c*x^2 + 12*x)/c^4 + 12*log(c*x - 1)/c^5) + 24*c^3*((2*c^2*x^3 + 3*c*x^2 + 6*x)/c^3 + 6*log(c*x - 1)/c^4) + 108*c^2*((c*x^2 + 2*x)/c^2 + 2*log(c*x - 1)/c^3) + 432*c*(x/c + log(c*x - 1)/c^2) + 2*(27*c^4*x^4 + 92*c^3*x^3 + 300*c^2*x^2 + 1680*c*x - 72*(3*c^4*x^4 + 4*c^3*x^3 + 6*c^2*x^2 + 12*c*x + 12*log(-c*x + 1))*dilog(c*x) - 12*(9*c^4*x^4 + 14*c^3*x^3 + 27*c^2*x^2 + 90*c*x - 140)*log(-c*x + 1))/c - 1728*(log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1))/c)/c^3 + 1/192*(48*c^4*x^4*dilog(c*x) - 3*c^4*x^4 - 4*c^3*x^3 - 6*c^2*x^2 - 12*c*x + 12*(c^4*x^4 - 1)*log(-c*x + 1))*log(-c*x + 1)/c^4","A",0
162,1,296,0,0.365140," ","integrate(x^2*log(-c*x+1)*polylog(2,c*x),x, algorithm=""maxima"")","\frac{4 \, c^{3} {\left(\frac{2 \, c^{2} x^{3} + 3 \, c x^{2} + 6 \, x}{c^{3}} + \frac{6 \, \log\left(c x - 1\right)}{c^{4}}\right)} + 18 \, c^{2} {\left(\frac{c x^{2} + 2 \, x}{c^{2}} + \frac{2 \, \log\left(c x - 1\right)}{c^{3}}\right)} + 72 \, c {\left(\frac{x}{c} + \frac{\log\left(c x - 1\right)}{c^{2}}\right)} + \frac{16 \, c^{3} x^{3} + 69 \, c^{2} x^{2} + 426 \, c x - 36 \, {\left(2 \, c^{3} x^{3} + 3 \, c^{2} x^{2} + 6 \, c x + 6 \, \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right) - 6 \, {\left(8 \, c^{3} x^{3} + 15 \, c^{2} x^{2} + 48 \, c x - 71\right)} \log\left(-c x + 1\right)}{c} - \frac{216 \, {\left(\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)\right)}}{c}}{648 \, c^{2}} + \frac{{\left(18 \, c^{3} x^{3} {\rm Li}_2\left(c x\right) - 2 \, c^{3} x^{3} - 3 \, c^{2} x^{2} - 6 \, c x + 6 \, {\left(c^{3} x^{3} - 1\right)} \log\left(-c x + 1\right)\right)} \log\left(-c x + 1\right)}{54 \, c^{3}}"," ",0,"1/648*(4*c^3*((2*c^2*x^3 + 3*c*x^2 + 6*x)/c^3 + 6*log(c*x - 1)/c^4) + 18*c^2*((c*x^2 + 2*x)/c^2 + 2*log(c*x - 1)/c^3) + 72*c*(x/c + log(c*x - 1)/c^2) + (16*c^3*x^3 + 69*c^2*x^2 + 426*c*x - 36*(2*c^3*x^3 + 3*c^2*x^2 + 6*c*x + 6*log(-c*x + 1))*dilog(c*x) - 6*(8*c^3*x^3 + 15*c^2*x^2 + 48*c*x - 71)*log(-c*x + 1))/c - 216*(log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1))/c)/c^2 + 1/54*(18*c^3*x^3*dilog(c*x) - 2*c^3*x^3 - 3*c^2*x^2 - 6*c*x + 6*(c^3*x^3 - 1)*log(-c*x + 1))*log(-c*x + 1)/c^3","A",0
163,1,222,0,0.372315," ","integrate(x*log(-c*x+1)*polylog(2,c*x),x, algorithm=""maxima"")","\frac{c^{2} {\left(\frac{c x^{2} + 2 \, x}{c^{2}} + \frac{2 \, \log\left(c x - 1\right)}{c^{3}}\right)} + 4 \, c {\left(\frac{x}{c} + \frac{\log\left(c x - 1\right)}{c^{2}}\right)} + \frac{2 \, {\left(c^{2} x^{2} + 8 \, c x - 2 \, {\left(c^{2} x^{2} + 2 \, c x + 2 \, \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right) - 2 \, {\left(c^{2} x^{2} + 3 \, c x - 4\right)} \log\left(-c x + 1\right)\right)}}{c} - \frac{8 \, {\left(\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)\right)}}{c}}{16 \, c} + \frac{{\left(4 \, c^{2} x^{2} {\rm Li}_2\left(c x\right) - c^{2} x^{2} - 2 \, c x + 2 \, {\left(c^{2} x^{2} - 1\right)} \log\left(-c x + 1\right)\right)} \log\left(-c x + 1\right)}{8 \, c^{2}}"," ",0,"1/16*(c^2*((c*x^2 + 2*x)/c^2 + 2*log(c*x - 1)/c^3) + 4*c*(x/c + log(c*x - 1)/c^2) + 2*(c^2*x^2 + 8*c*x - 2*(c^2*x^2 + 2*c*x + 2*log(-c*x + 1))*dilog(c*x) - 2*(c^2*x^2 + 3*c*x - 4)*log(-c*x + 1))/c - 8*(log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1))/c)/c + 1/8*(4*c^2*x^2*dilog(c*x) - c^2*x^2 - 2*c*x + 2*(c^2*x^2 - 1)*log(-c*x + 1))*log(-c*x + 1)/c^2","A",0
164,1,141,0,0.339193," ","integrate(log(-c*x+1)*polylog(2,c*x),x, algorithm=""maxima"")","c {\left(\frac{x}{c} + \frac{\log\left(c x - 1\right)}{c^{2}}\right)} + \frac{{\left(c x {\rm Li}_2\left(c x\right) - c x + {\left(c x - 1\right)} \log\left(-c x + 1\right)\right)} \log\left(-c x + 1\right)}{c} - \frac{\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)}{c} + \frac{2 \, c x - {\left(c x + \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right) - 2 \, {\left(c x - 1\right)} \log\left(-c x + 1\right)}{c}"," ",0,"c*(x/c + log(c*x - 1)/c^2) + (c*x*dilog(c*x) - c*x + (c*x - 1)*log(-c*x + 1))*log(-c*x + 1)/c - (log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1))/c + (2*c*x - (c*x + log(-c*x + 1))*dilog(c*x) - 2*(c*x - 1)*log(-c*x + 1))/c","A",0
165,1,8,0,0.294970," ","integrate(log(-c*x+1)*polylog(2,c*x)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, {\rm Li}_2\left(c x\right)^{2}"," ",0,"-1/2*dilog(c*x)^2","A",0
166,1,113,0,0.367434," ","integrate(log(-c*x+1)*polylog(2,c*x)/x^2,x, algorithm=""maxima"")","{\left(\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)\right)} c + 2 \, {\left(\log\left(c x\right) \log\left(-c x + 1\right) + {\rm Li}_2\left(-c x + 1\right)\right)} c - c {\rm Li}_{3}(c x) + \frac{{\left(c x - 1\right)} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right) - {\left(c x - 1\right)} \log\left(-c x + 1\right)^{2}}{x}"," ",0,"(log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1))*c + 2*(log(c*x)*log(-c*x + 1) + dilog(-c*x + 1))*c - c*polylog(3, c*x) + ((c*x - 1)*dilog(c*x)*log(-c*x + 1) - (c*x - 1)*log(-c*x + 1)^2)/x","A",0
167,1,162,0,0.449492," ","integrate(log(-c*x+1)*polylog(2,c*x)/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)\right)} c^{2} + \frac{1}{2} \, {\left(\log\left(c x\right) \log\left(-c x + 1\right) + {\rm Li}_2\left(-c x + 1\right)\right)} c^{2} - c^{2} \log\left(x\right) - \frac{1}{2} \, c^{2} {\rm Li}_{3}(c x) - \frac{{\left(c^{2} x^{2} - 1\right)} \log\left(-c x + 1\right)^{2} - 2 \, {\left(c x + {\left(c^{2} x^{2} - 1\right)} \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right) - 4 \, {\left(c^{2} x^{2} - c x\right)} \log\left(-c x + 1\right)}{4 \, x^{2}}"," ",0,"1/2*(log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1))*c^2 + 1/2*(log(c*x)*log(-c*x + 1) + dilog(-c*x + 1))*c^2 - c^2*log(x) - 1/2*c^2*polylog(3, c*x) - 1/4*((c^2*x^2 - 1)*log(-c*x + 1)^2 - 2*(c*x + (c^2*x^2 - 1)*log(-c*x + 1))*dilog(c*x) - 4*(c^2*x^2 - c*x)*log(-c*x + 1))/x^2","A",0
168,1,188,0,0.462574," ","integrate(log(-c*x+1)*polylog(2,c*x)/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)\right)} c^{3} + \frac{2}{9} \, {\left(\log\left(c x\right) \log\left(-c x + 1\right) + {\rm Li}_2\left(-c x + 1\right)\right)} c^{3} - \frac{3}{4} \, c^{3} \log\left(x\right) - \frac{1}{3} \, c^{3} {\rm Li}_{3}(c x) + \frac{7 \, c^{2} x^{2} - 4 \, {\left(c^{3} x^{3} - 1\right)} \log\left(-c x + 1\right)^{2} + 6 \, {\left(2 \, c^{2} x^{2} + c x + 2 \, {\left(c^{3} x^{3} - 1\right)} \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right) + {\left(27 \, c^{3} x^{3} - 20 \, c^{2} x^{2} - 7 \, c x\right)} \log\left(-c x + 1\right)}{36 \, x^{3}}"," ",0,"1/3*(log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1))*c^3 + 2/9*(log(c*x)*log(-c*x + 1) + dilog(-c*x + 1))*c^3 - 3/4*c^3*log(x) - 1/3*c^3*polylog(3, c*x) + 1/36*(7*c^2*x^2 - 4*(c^3*x^3 - 1)*log(-c*x + 1)^2 + 6*(2*c^2*x^2 + c*x + 2*(c^3*x^3 - 1)*log(-c*x + 1))*dilog(c*x) + (27*c^3*x^3 - 20*c^2*x^2 - 7*c*x)*log(-c*x + 1))/x^3","A",0
169,1,214,0,0.456766," ","integrate(log(-c*x+1)*polylog(2,c*x)/x^5,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)\right)} c^{4} + \frac{1}{8} \, {\left(\log\left(c x\right) \log\left(-c x + 1\right) + {\rm Li}_2\left(-c x + 1\right)\right)} c^{4} - \frac{41}{72} \, c^{4} \log\left(x\right) - \frac{1}{4} \, c^{4} {\rm Li}_{3}(c x) + \frac{28 \, c^{3} x^{3} + 5 \, c^{2} x^{2} - 9 \, {\left(c^{4} x^{4} - 1\right)} \log\left(-c x + 1\right)^{2} + 6 \, {\left(6 \, c^{3} x^{3} + 3 \, c^{2} x^{2} + 2 \, c x + 6 \, {\left(c^{4} x^{4} - 1\right)} \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right) + 2 \, {\left(41 \, c^{4} x^{4} - 27 \, c^{3} x^{3} - 9 \, c^{2} x^{2} - 5 \, c x\right)} \log\left(-c x + 1\right)}{144 \, x^{4}}"," ",0,"1/4*(log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1))*c^4 + 1/8*(log(c*x)*log(-c*x + 1) + dilog(-c*x + 1))*c^4 - 41/72*c^4*log(x) - 1/4*c^4*polylog(3, c*x) + 1/144*(28*c^3*x^3 + 5*c^2*x^2 - 9*(c^4*x^4 - 1)*log(-c*x + 1)^2 + 6*(6*c^3*x^3 + 3*c^2*x^2 + 2*c*x + 6*(c^4*x^4 - 1)*log(-c*x + 1))*dilog(c*x) + 2*(41*c^4*x^4 - 27*c^3*x^3 - 9*c^2*x^2 - 5*c*x)*log(-c*x + 1))/x^4","A",0
170,0,0,0,0.000000," ","integrate(x^2*(g+h*log(-c*x+1))*polylog(2,c*x),x, algorithm=""maxima"")","-\frac{1}{18} \, h {\left(\frac{{\left(2 \, c^{3} x^{3} + 3 \, c^{2} x^{2} + 6 \, c x - 6 \, {\left(c^{3} x^{3} - 1\right)} \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right)}{c^{3}} - \frac{\frac{4}{9} \, c^{3} x^{3} - \frac{1}{9} \, {\left(6 \, x^{3} \log\left(-c x + 1\right) - c {\left(\frac{2 \, c^{2} x^{3} + 3 \, c x^{2} + 6 \, x}{c^{3}} + \frac{6 \, \log\left(c x - 1\right)}{c^{4}}\right)}\right)} c^{3} + \frac{5}{3} \, c^{2} x^{2} - \frac{3}{4} \, {\left(2 \, x^{2} \log\left(-c x + 1\right) - c {\left(\frac{c x^{2} + 2 \, x}{c^{2}} + \frac{2 \, \log\left(c x - 1\right)}{c^{3}}\right)}\right)} c^{2} + 2 \, {\left(c^{3} x^{3} - 1\right)} \log\left(-c x + 1\right)^{2} - 6 \, \log\left(c x\right) \log\left(-c x + 1\right)^{2} + \frac{40}{3} \, c x - \frac{2}{3} \, {\left(2 \, c^{3} x^{3} + 3 \, c^{2} x^{2} + 6 \, c x - 11\right)} \log\left(-c x + 1\right) - 6 \, {\left(c x - 1\right)} \log\left(-c x + 1\right) - 12 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) + 12 \, {\rm Li}_{3}(-c x + 1) - 6}{c^{3}}\right)} + \frac{{\left(18 \, c^{3} x^{3} {\rm Li}_2\left(c x\right) - 2 \, c^{3} x^{3} - 3 \, c^{2} x^{2} - 6 \, c x + 6 \, {\left(c^{3} x^{3} - 1\right)} \log\left(-c x + 1\right)\right)} g}{54 \, c^{3}}"," ",0,"-1/18*h*((2*c^3*x^3 + 3*c^2*x^2 + 6*c*x - 6*(c^3*x^3 - 1)*log(-c*x + 1))*dilog(c*x)/c^3 - integrate((6*(c^3*x^3 - 1)*log(-c*x + 1)^2 - (2*c^3*x^3 + 3*c^2*x^2 + 6*c*x)*log(-c*x + 1))/x, x)/c^3) + 1/54*(18*c^3*x^3*dilog(c*x) - 2*c^3*x^3 - 3*c^2*x^2 - 6*c*x + 6*(c^3*x^3 - 1)*log(-c*x + 1))*g/c^3","F",0
171,0,0,0,0.000000," ","integrate(x*(g+h*log(-c*x+1))*polylog(2,c*x),x, algorithm=""maxima"")","-\frac{1}{4} \, h {\left(\frac{{\left(c^{2} x^{2} + 2 \, c x - 2 \, {\left(c^{2} x^{2} - 1\right)} \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right)}{c^{2}} - \frac{\frac{1}{2} \, c^{2} x^{2} - \frac{1}{4} \, {\left(2 \, x^{2} \log\left(-c x + 1\right) - c {\left(\frac{c x^{2} + 2 \, x}{c^{2}} + \frac{2 \, \log\left(c x - 1\right)}{c^{3}}\right)}\right)} c^{2} + {\left(c^{2} x^{2} - 1\right)} \log\left(-c x + 1\right)^{2} - 2 \, \log\left(c x\right) \log\left(-c x + 1\right)^{2} + 5 \, c x - {\left(c^{2} x^{2} + 2 \, c x - 3\right)} \log\left(-c x + 1\right) - 2 \, {\left(c x - 1\right)} \log\left(-c x + 1\right) - 4 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) + 4 \, {\rm Li}_{3}(-c x + 1) - 2}{c^{2}}\right)} + \frac{{\left(4 \, c^{2} x^{2} {\rm Li}_2\left(c x\right) - c^{2} x^{2} - 2 \, c x + 2 \, {\left(c^{2} x^{2} - 1\right)} \log\left(-c x + 1\right)\right)} g}{8 \, c^{2}}"," ",0,"-1/4*h*((c^2*x^2 + 2*c*x - 2*(c^2*x^2 - 1)*log(-c*x + 1))*dilog(c*x)/c^2 - integrate((2*(c^2*x^2 - 1)*log(-c*x + 1)^2 - (c^2*x^2 + 2*c*x)*log(-c*x + 1))/x, x)/c^2) + 1/8*(4*c^2*x^2*dilog(c*x) - c^2*x^2 - 2*c*x + 2*(c^2*x^2 - 1)*log(-c*x + 1))*g/c^2","F",0
172,0,0,0,0.000000," ","integrate((g+h*log(-c*x+1))*polylog(2,c*x),x, algorithm=""maxima"")","-h {\left(\frac{{\left(c x - {\left(c x - 1\right)} \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right)}{c} - \frac{{\left(c x - 1\right)} {\left(\log\left(-c x + 1\right)^{2} - 2 \, \log\left(-c x + 1\right) + 2\right)} + c x - {\left(c x - 1\right)} \log\left(-c x + 1\right) - \int \frac{\log\left(-c x + 1\right)^{2}}{x}\,{d x} - 1}{c}\right)} + \frac{{\left(c x {\rm Li}_2\left(c x\right) - c x + {\left(c x - 1\right)} \log\left(-c x + 1\right)\right)} g}{c}"," ",0,"-h*((c*x - (c*x - 1)*log(-c*x + 1))*dilog(c*x)/c - integrate(-(c*x*log(-c*x + 1) - (c*x - 1)*log(-c*x + 1)^2)/x, x)/c) + (c*x*dilog(c*x) - c*x + (c*x - 1)*log(-c*x + 1))*g/c","F",0
173,0,0,0,0.000000," ","integrate((g+h*log(-c*x+1))*polylog(2,c*x)/x,x, algorithm=""maxima"")","\int \frac{{\left(h \log\left(-c x + 1\right) + g\right)} {\rm Li}_2\left(c x\right)}{x}\,{d x}"," ",0,"integrate((h*log(-c*x + 1) + g)*dilog(c*x)/x, x)","F",0
174,0,0,0,0.000000," ","integrate((g+h*log(-c*x+1))*polylog(2,c*x)/x^2,x, algorithm=""maxima"")","{\left(c \log\left(x\right) - \frac{{\left(c x - 1\right)} \log\left(-c x + 1\right) + {\rm Li}_2\left(c x\right)}{x}\right)} g + h \int \frac{{\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x^{2}}\,{d x}"," ",0,"(c*log(x) - ((c*x - 1)*log(-c*x + 1) + dilog(c*x))/x)*g + h*integrate(dilog(c*x)*log(-c*x + 1)/x^2, x)","F",0
175,0,0,0,0.000000," ","integrate((g+h*log(-c*x+1))*polylog(2,c*x)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c^{2} \log\left(x\right) - \frac{c x + {\left(c^{2} x^{2} - 1\right)} \log\left(-c x + 1\right) + 2 \, {\rm Li}_2\left(c x\right)}{x^{2}}\right)} g + h \int \frac{{\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x^{3}}\,{d x}"," ",0,"1/4*(c^2*log(x) - (c*x + (c^2*x^2 - 1)*log(-c*x + 1) + 2*dilog(c*x))/x^2)*g + h*integrate(dilog(c*x)*log(-c*x + 1)/x^3, x)","F",0
176,0,0,0,0.000000," ","integrate((g+h*log(-c*x+1))*polylog(2,c*x)/x^4,x, algorithm=""maxima"")","\frac{1}{18} \, {\left(2 \, c^{3} \log\left(x\right) - \frac{2 \, c^{2} x^{2} + c x + 2 \, {\left(c^{3} x^{3} - 1\right)} \log\left(-c x + 1\right) + 6 \, {\rm Li}_2\left(c x\right)}{x^{3}}\right)} g + h \int \frac{{\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x^{4}}\,{d x}"," ",0,"1/18*(2*c^3*log(x) - (2*c^2*x^2 + c*x + 2*(c^3*x^3 - 1)*log(-c*x + 1) + 6*dilog(c*x))/x^3)*g + h*integrate(dilog(c*x)*log(-c*x + 1)/x^4, x)","F",0
177,0,0,0,0.000000," ","integrate(x^2*(g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a)),x, algorithm=""maxima"")","\frac{{\left(6 \, e^{3} h x^{3} \log\left({\left(e x + d\right)}^{n}\right) + 3 \, d e^{2} h n x^{2} - 6 \, d^{2} e h n x + 6 \, d^{3} h n \log\left(e x + d\right) - 2 \, {\left(e^{3} h n - 3 \, e^{3} h \log\left(f\right) - 3 \, e^{3} g\right)} x^{3}\right)} {\rm Li}_2\left(b c x + a c\right)}{18 \, e^{3}} + \int \frac{6 \, b e^{3} h x^{3} \log\left(-b c x - a c + 1\right) \log\left({\left(e x + d\right)}^{n}\right) + {\left(3 \, b d e^{2} h n x^{2} - 6 \, b d^{2} e h n x + 6 \, b d^{3} h n \log\left(e x + d\right) - 2 \, {\left(b e^{3} h n - 3 \, b e^{3} h \log\left(f\right) - 3 \, b e^{3} g\right)} x^{3}\right)} \log\left(-b c x - a c + 1\right)}{18 \, {\left(b e^{3} x + a e^{3}\right)}}\,{d x}"," ",0,"1/18*(6*e^3*h*x^3*log((e*x + d)^n) + 3*d*e^2*h*n*x^2 - 6*d^2*e*h*n*x + 6*d^3*h*n*log(e*x + d) - 2*(e^3*h*n - 3*e^3*h*log(f) - 3*e^3*g)*x^3)*dilog(b*c*x + a*c)/e^3 + integrate(1/18*(6*b*e^3*h*x^3*log(-b*c*x - a*c + 1)*log((e*x + d)^n) + (3*b*d*e^2*h*n*x^2 - 6*b*d^2*e*h*n*x + 6*b*d^3*h*n*log(e*x + d) - 2*(b*e^3*h*n - 3*b*e^3*h*log(f) - 3*b*e^3*g)*x^3)*log(-b*c*x - a*c + 1))/(b*e^3*x + a*e^3), x)","F",0
178,0,0,0,0.000000," ","integrate(x*(g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a)),x, algorithm=""maxima"")","\frac{{\left(2 \, e^{2} h x^{2} \log\left({\left(e x + d\right)}^{n}\right) + 2 \, d e h n x - 2 \, d^{2} h n \log\left(e x + d\right) - {\left(e^{2} h n - 2 \, e^{2} h \log\left(f\right) - 2 \, e^{2} g\right)} x^{2}\right)} {\rm Li}_2\left(b c x + a c\right)}{4 \, e^{2}} + \int \frac{2 \, b e^{2} h x^{2} \log\left(-b c x - a c + 1\right) \log\left({\left(e x + d\right)}^{n}\right) + {\left(2 \, b d e h n x - 2 \, b d^{2} h n \log\left(e x + d\right) - {\left(b e^{2} h n - 2 \, b e^{2} h \log\left(f\right) - 2 \, b e^{2} g\right)} x^{2}\right)} \log\left(-b c x - a c + 1\right)}{4 \, {\left(b e^{2} x + a e^{2}\right)}}\,{d x}"," ",0,"1/4*(2*e^2*h*x^2*log((e*x + d)^n) + 2*d*e*h*n*x - 2*d^2*h*n*log(e*x + d) - (e^2*h*n - 2*e^2*h*log(f) - 2*e^2*g)*x^2)*dilog(b*c*x + a*c)/e^2 + integrate(1/4*(2*b*e^2*h*x^2*log(-b*c*x - a*c + 1)*log((e*x + d)^n) + (2*b*d*e*h*n*x - 2*b*d^2*h*n*log(e*x + d) - (b*e^2*h*n - 2*b*e^2*h*log(f) - 2*b*e^2*g)*x^2)*log(-b*c*x - a*c + 1))/(b*e^2*x + a*e^2), x)","F",0
179,0,0,0,0.000000," ","integrate((g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a)),x, algorithm=""maxima"")","\frac{{\left(d h n \log\left(e x + d\right) + e h x \log\left({\left(e x + d\right)}^{n}\right) - {\left(e h n - e h \log\left(f\right) - e g\right)} x\right)} {\rm Li}_2\left(b c x + a c\right)}{e} + \int \frac{b e h x \log\left(-b c x - a c + 1\right) \log\left({\left(e x + d\right)}^{n}\right) + {\left(b d h n \log\left(e x + d\right) - {\left(b e h n - b e h \log\left(f\right) - b e g\right)} x\right)} \log\left(-b c x - a c + 1\right)}{b e x + a e}\,{d x}"," ",0,"(d*h*n*log(e*x + d) + e*h*x*log((e*x + d)^n) - (e*h*n - e*h*log(f) - e*g)*x)*dilog(b*c*x + a*c)/e + integrate((b*e*h*x*log(-b*c*x - a*c + 1)*log((e*x + d)^n) + (b*d*h*n*log(e*x + d) - (b*e*h*n - b*e*h*log(f) - b*e*g)*x)*log(-b*c*x - a*c + 1))/(b*e*x + a*e), x)","F",0
180,0,0,0,0.000000," ","integrate((g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a))/x,x, algorithm=""maxima"")","\int \frac{{\left(h \log\left({\left(e x + d\right)}^{n} f\right) + g\right)} {\rm Li}_2\left({\left(b x + a\right)} c\right)}{x}\,{d x}"," ",0,"integrate((h*log((e*x + d)^n*f) + g)*dilog((b*x + a)*c)/x, x)","F",0
181,0,0,0,0.000000," ","integrate((g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a))/x^2,x, algorithm=""maxima"")","\int \frac{{\left(h \log\left({\left(e x + d\right)}^{n} f\right) + g\right)} {\rm Li}_2\left({\left(b x + a\right)} c\right)}{x^{2}}\,{d x}"," ",0,"integrate((h*log((e*x + d)^n*f) + g)*dilog((b*x + a)*c)/x^2, x)","F",0
182,0,0,0,0.000000," ","integrate((g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a))/x^3,x, algorithm=""maxima"")","\int \frac{{\left(h \log\left({\left(e x + d\right)}^{n} f\right) + g\right)} {\rm Li}_2\left({\left(b x + a\right)} c\right)}{x^{3}}\,{d x}"," ",0,"integrate((h*log((e*x + d)^n*f) + g)*dilog((b*x + a)*c)/x^3, x)","F",0
183,0,0,0,0.000000," ","integrate((g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a))/x^4,x, algorithm=""maxima"")","\int \frac{{\left(h \log\left({\left(e x + d\right)}^{n} f\right) + g\right)} {\rm Li}_2\left({\left(b x + a\right)} c\right)}{x^{4}}\,{d x}"," ",0,"integrate((h*log((e*x + d)^n*f) + g)*dilog((b*x + a)*c)/x^4, x)","F",0
184,1,415,0,0.341353," ","integrate(x^2*(b*x+a)*log(-c*x+1)*polylog(2,c*x),x, algorithm=""maxima"")","-\frac{1}{6912} \, c {\left(\frac{576 \, {\left(\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)\right)} {\left(4 \, a c + 3 \, b\right)}}{c^{5}} - \frac{81 \, b c^{4} x^{4} + 4 \, {\left(64 \, a c^{4} + 67 \, b c^{3}\right)} x^{3} + 6 \, {\left(176 \, a c^{3} + 139 \, b c^{2}\right)} x^{2} + 12 \, {\left(496 \, a c^{2} + 355 \, b c\right)} x - 48 \, {\left(9 \, b c^{4} x^{4} + 4 \, {\left(4 \, a c^{4} + 3 \, b c^{3}\right)} x^{3} + 6 \, {\left(4 \, a c^{3} + 3 \, b c^{2}\right)} x^{2} + 12 \, {\left(4 \, a c^{2} + 3 \, b c\right)} x + 12 \, {\left(4 \, a c + 3 \, b\right)} \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right) - 4 \, {\left(54 \, b c^{4} x^{4} + 4 \, {\left(32 \, a c^{4} + 21 \, b c^{3}\right)} x^{3} + 6 \, {\left(40 \, a c^{3} + 27 \, b c^{2}\right)} x^{2} - 1488 \, a c + 12 \, {\left(64 \, a c^{2} + 45 \, b c\right)} x - 1065 \, b\right)} \log\left(-c x + 1\right)}{c^{5}}\right)} + \frac{1}{1728} \, {\left(\frac{32 \, {\left(18 \, c^{3} x^{3} {\rm Li}_2\left(c x\right) - 2 \, c^{3} x^{3} - 3 \, c^{2} x^{2} - 6 \, c x + 6 \, {\left(c^{3} x^{3} - 1\right)} \log\left(-c x + 1\right)\right)} a}{c^{3}} + \frac{9 \, {\left(48 \, c^{4} x^{4} {\rm Li}_2\left(c x\right) - 3 \, c^{4} x^{4} - 4 \, c^{3} x^{3} - 6 \, c^{2} x^{2} - 12 \, c x + 12 \, {\left(c^{4} x^{4} - 1\right)} \log\left(-c x + 1\right)\right)} b}{c^{4}}\right)} \log\left(-c x + 1\right)"," ",0,"-1/6912*c*(576*(log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1))*(4*a*c + 3*b)/c^5 - (81*b*c^4*x^4 + 4*(64*a*c^4 + 67*b*c^3)*x^3 + 6*(176*a*c^3 + 139*b*c^2)*x^2 + 12*(496*a*c^2 + 355*b*c)*x - 48*(9*b*c^4*x^4 + 4*(4*a*c^4 + 3*b*c^3)*x^3 + 6*(4*a*c^3 + 3*b*c^2)*x^2 + 12*(4*a*c^2 + 3*b*c)*x + 12*(4*a*c + 3*b)*log(-c*x + 1))*dilog(c*x) - 4*(54*b*c^4*x^4 + 4*(32*a*c^4 + 21*b*c^3)*x^3 + 6*(40*a*c^3 + 27*b*c^2)*x^2 - 1488*a*c + 12*(64*a*c^2 + 45*b*c)*x - 1065*b)*log(-c*x + 1))/c^5) + 1/1728*(32*(18*c^3*x^3*dilog(c*x) - 2*c^3*x^3 - 3*c^2*x^2 - 6*c*x + 6*(c^3*x^3 - 1)*log(-c*x + 1))*a/c^3 + 9*(48*c^4*x^4*dilog(c*x) - 3*c^4*x^4 - 4*c^3*x^3 - 6*c^2*x^2 - 12*c*x + 12*(c^4*x^4 - 1)*log(-c*x + 1))*b/c^4)*log(-c*x + 1)","A",0
185,1,345,0,0.330565," ","integrate(x*(b*x+a)*log(-c*x+1)*polylog(2,c*x),x, algorithm=""maxima"")","-\frac{1}{432} \, c {\left(\frac{72 \, {\left(\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)\right)} {\left(3 \, a c + 2 \, b\right)}}{c^{4}} - \frac{16 \, b c^{3} x^{3} + 3 \, {\left(27 \, a c^{3} + 22 \, b c^{2}\right)} x^{2} + 6 \, {\left(99 \, a c^{2} + 62 \, b c\right)} x - 12 \, {\left(4 \, b c^{3} x^{3} + 3 \, {\left(3 \, a c^{3} + 2 \, b c^{2}\right)} x^{2} + 6 \, {\left(3 \, a c^{2} + 2 \, b c\right)} x + 6 \, {\left(3 \, a c + 2 \, b\right)} \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right) - 2 \, {\left(16 \, b c^{3} x^{3} + 6 \, {\left(9 \, a c^{3} + 5 \, b c^{2}\right)} x^{2} - 297 \, a c + 6 \, {\left(27 \, a c^{2} + 16 \, b c\right)} x - 186 \, b\right)} \log\left(-c x + 1\right)}{c^{4}}\right)} + \frac{1}{216} \, {\left(\frac{27 \, {\left(4 \, c^{2} x^{2} {\rm Li}_2\left(c x\right) - c^{2} x^{2} - 2 \, c x + 2 \, {\left(c^{2} x^{2} - 1\right)} \log\left(-c x + 1\right)\right)} a}{c^{2}} + \frac{4 \, {\left(18 \, c^{3} x^{3} {\rm Li}_2\left(c x\right) - 2 \, c^{3} x^{3} - 3 \, c^{2} x^{2} - 6 \, c x + 6 \, {\left(c^{3} x^{3} - 1\right)} \log\left(-c x + 1\right)\right)} b}{c^{3}}\right)} \log\left(-c x + 1\right)"," ",0,"-1/432*c*(72*(log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1))*(3*a*c + 2*b)/c^4 - (16*b*c^3*x^3 + 3*(27*a*c^3 + 22*b*c^2)*x^2 + 6*(99*a*c^2 + 62*b*c)*x - 12*(4*b*c^3*x^3 + 3*(3*a*c^3 + 2*b*c^2)*x^2 + 6*(3*a*c^2 + 2*b*c)*x + 6*(3*a*c + 2*b)*log(-c*x + 1))*dilog(c*x) - 2*(16*b*c^3*x^3 + 6*(9*a*c^3 + 5*b*c^2)*x^2 - 297*a*c + 6*(27*a*c^2 + 16*b*c)*x - 186*b)*log(-c*x + 1))/c^4) + 1/216*(27*(4*c^2*x^2*dilog(c*x) - c^2*x^2 - 2*c*x + 2*(c^2*x^2 - 1)*log(-c*x + 1))*a/c^2 + 4*(18*c^3*x^3*dilog(c*x) - 2*c^3*x^3 - 3*c^2*x^2 - 6*c*x + 6*(c^3*x^3 - 1)*log(-c*x + 1))*b/c^3)*log(-c*x + 1)","A",0
186,1,258,0,0.343383," ","integrate((b*x+a)*log(-c*x+1)*polylog(2,c*x),x, algorithm=""maxima"")","-\frac{1}{16} \, c {\left(\frac{8 \, {\left(\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)\right)} {\left(2 \, a c + b\right)}}{c^{3}} - \frac{3 \, b c^{2} x^{2} + 2 \, {\left(24 \, a c^{2} + 11 \, b c\right)} x - 4 \, {\left(b c^{2} x^{2} + 2 \, {\left(2 \, a c^{2} + b c\right)} x + 2 \, {\left(2 \, a c + b\right)} \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right) - 2 \, {\left(2 \, b c^{2} x^{2} - 24 \, a c + 2 \, {\left(8 \, a c^{2} + 3 \, b c\right)} x - 11 \, b\right)} \log\left(-c x + 1\right)}{c^{3}}\right)} + \frac{1}{8} \, {\left(\frac{8 \, {\left(c x {\rm Li}_2\left(c x\right) - c x + {\left(c x - 1\right)} \log\left(-c x + 1\right)\right)} a}{c} + \frac{{\left(4 \, c^{2} x^{2} {\rm Li}_2\left(c x\right) - c^{2} x^{2} - 2 \, c x + 2 \, {\left(c^{2} x^{2} - 1\right)} \log\left(-c x + 1\right)\right)} b}{c^{2}}\right)} \log\left(-c x + 1\right)"," ",0,"-1/16*c*(8*(log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1))*(2*a*c + b)/c^3 - (3*b*c^2*x^2 + 2*(24*a*c^2 + 11*b*c)*x - 4*(b*c^2*x^2 + 2*(2*a*c^2 + b*c)*x + 2*(2*a*c + b)*log(-c*x + 1))*dilog(c*x) - 2*(2*b*c^2*x^2 - 24*a*c + 2*(8*a*c^2 + 3*b*c)*x - 11*b)*log(-c*x + 1))/c^3) + 1/8*(8*(c*x*dilog(c*x) - c*x + (c*x - 1)*log(-c*x + 1))*a/c + (4*c^2*x^2*dilog(c*x) - c^2*x^2 - 2*c*x + 2*(c^2*x^2 - 1)*log(-c*x + 1))*b/c^2)*log(-c*x + 1)","A",0
187,0,0,0,0.000000," ","integrate((b*x+a)*log(-c*x+1)*polylog(2,c*x)/x,x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x}\,{d x}"," ",0,"integrate((b*x + a)*dilog(c*x)*log(-c*x + 1)/x, x)","F",0
188,0,0,0,0.000000," ","integrate((b*x+a)*log(-c*x+1)*polylog(2,c*x)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x^{2}}\,{d x}"," ",0,"integrate((b*x + a)*dilog(c*x)*log(-c*x + 1)/x^2, x)","F",0
189,1,213,0,0.395700," ","integrate((b*x+a)*log(-c*x+1)*polylog(2,c*x)/x^3,x, algorithm=""maxima"")","-a c^{2} \log\left(x\right) + \frac{1}{2} \, {\left(a c^{2} + 2 \, b c\right)} {\left(\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)\right)} + \frac{1}{2} \, {\left(a c^{2} + 4 \, b c\right)} {\left(\log\left(c x\right) \log\left(-c x + 1\right) + {\rm Li}_2\left(-c x + 1\right)\right)} - \frac{1}{2} \, {\left(a c^{2} + 2 \, b c\right)} {\rm Li}_{3}(c x) - \frac{{\left({\left(a c^{2} + 4 \, b c\right)} x^{2} - 4 \, b x - a\right)} \log\left(-c x + 1\right)^{2} - 2 \, {\left(a c x + {\left({\left(a c^{2} + 2 \, b c\right)} x^{2} - 2 \, b x - a\right)} \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right) - 4 \, {\left(a c^{2} x^{2} - a c x\right)} \log\left(-c x + 1\right)}{4 \, x^{2}}"," ",0,"-a*c^2*log(x) + 1/2*(a*c^2 + 2*b*c)*(log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1)) + 1/2*(a*c^2 + 4*b*c)*(log(c*x)*log(-c*x + 1) + dilog(-c*x + 1)) - 1/2*(a*c^2 + 2*b*c)*polylog(3, c*x) - 1/4*(((a*c^2 + 4*b*c)*x^2 - 4*b*x - a)*log(-c*x + 1)^2 - 2*(a*c*x + ((a*c^2 + 2*b*c)*x^2 - 2*b*x - a)*log(-c*x + 1))*dilog(c*x) - 4*(a*c^2*x^2 - a*c*x)*log(-c*x + 1))/x^2","A",0
190,1,287,0,0.399253," ","integrate((b*x+a)*log(-c*x+1)*polylog(2,c*x)/x^4,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(2 \, a c^{3} + 3 \, b c^{2}\right)} {\left(\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)\right)} + \frac{1}{18} \, {\left(4 \, a c^{3} + 9 \, b c^{2}\right)} {\left(\log\left(c x\right) \log\left(-c x + 1\right) + {\rm Li}_2\left(-c x + 1\right)\right)} - \frac{1}{4} \, {\left(3 \, a c^{3} + 4 \, b c^{2}\right)} \log\left(x\right) - \frac{1}{6} \, {\left(2 \, a c^{3} + 3 \, b c^{2}\right)} {\rm Li}_{3}(c x) + \frac{7 \, a c^{2} x^{2} - {\left({\left(4 \, a c^{3} + 9 \, b c^{2}\right)} x^{3} - 9 \, b x - 4 \, a\right)} \log\left(-c x + 1\right)^{2} + 6 \, {\left(a c x + {\left(2 \, a c^{2} + 3 \, b c\right)} x^{2} + {\left({\left(2 \, a c^{3} + 3 \, b c^{2}\right)} x^{3} - 3 \, b x - 2 \, a\right)} \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right) + {\left(9 \, {\left(3 \, a c^{3} + 4 \, b c^{2}\right)} x^{3} - 7 \, a c x - 4 \, {\left(5 \, a c^{2} + 9 \, b c\right)} x^{2}\right)} \log\left(-c x + 1\right)}{36 \, x^{3}}"," ",0,"1/6*(2*a*c^3 + 3*b*c^2)*(log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1)) + 1/18*(4*a*c^3 + 9*b*c^2)*(log(c*x)*log(-c*x + 1) + dilog(-c*x + 1)) - 1/4*(3*a*c^3 + 4*b*c^2)*log(x) - 1/6*(2*a*c^3 + 3*b*c^2)*polylog(3, c*x) + 1/36*(7*a*c^2*x^2 - ((4*a*c^3 + 9*b*c^2)*x^3 - 9*b*x - 4*a)*log(-c*x + 1)^2 + 6*(a*c*x + (2*a*c^2 + 3*b*c)*x^2 + ((2*a*c^3 + 3*b*c^2)*x^3 - 3*b*x - 2*a)*log(-c*x + 1))*dilog(c*x) + (9*(3*a*c^3 + 4*b*c^2)*x^3 - 7*a*c*x - 4*(5*a*c^2 + 9*b*c)*x^2)*log(-c*x + 1))/x^3","A",0
191,1,341,0,0.378078," ","integrate((b*x+a)*log(-c*x+1)*polylog(2,c*x)/x^5,x, algorithm=""maxima"")","\frac{1}{12} \, {\left(3 \, a c^{4} + 4 \, b c^{3}\right)} {\left(\log\left(c x\right) \log\left(-c x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-c x + 1\right) \log\left(-c x + 1\right) - 2 \, {\rm Li}_{3}(-c x + 1)\right)} + \frac{1}{72} \, {\left(9 \, a c^{4} + 16 \, b c^{3}\right)} {\left(\log\left(c x\right) \log\left(-c x + 1\right) + {\rm Li}_2\left(-c x + 1\right)\right)} - \frac{1}{72} \, {\left(41 \, a c^{4} + 54 \, b c^{3}\right)} \log\left(x\right) - \frac{1}{12} \, {\left(3 \, a c^{4} + 4 \, b c^{3}\right)} {\rm Li}_{3}(c x) + \frac{5 \, a c^{2} x^{2} + 28 \, {\left(a c^{3} + b c^{2}\right)} x^{3} - {\left({\left(9 \, a c^{4} + 16 \, b c^{3}\right)} x^{4} - 16 \, b x - 9 \, a\right)} \log\left(-c x + 1\right)^{2} + 6 \, {\left(2 \, {\left(3 \, a c^{3} + 4 \, b c^{2}\right)} x^{3} + 2 \, a c x + {\left(3 \, a c^{2} + 4 \, b c\right)} x^{2} + 2 \, {\left({\left(3 \, a c^{4} + 4 \, b c^{3}\right)} x^{4} - 4 \, b x - 3 \, a\right)} \log\left(-c x + 1\right)\right)} {\rm Li}_2\left(c x\right) + 2 \, {\left({\left(41 \, a c^{4} + 54 \, b c^{3}\right)} x^{4} - {\left(27 \, a c^{3} + 40 \, b c^{2}\right)} x^{3} - 5 \, a c x - {\left(9 \, a c^{2} + 14 \, b c\right)} x^{2}\right)} \log\left(-c x + 1\right)}{144 \, x^{4}}"," ",0,"1/12*(3*a*c^4 + 4*b*c^3)*(log(c*x)*log(-c*x + 1)^2 + 2*dilog(-c*x + 1)*log(-c*x + 1) - 2*polylog(3, -c*x + 1)) + 1/72*(9*a*c^4 + 16*b*c^3)*(log(c*x)*log(-c*x + 1) + dilog(-c*x + 1)) - 1/72*(41*a*c^4 + 54*b*c^3)*log(x) - 1/12*(3*a*c^4 + 4*b*c^3)*polylog(3, c*x) + 1/144*(5*a*c^2*x^2 + 28*(a*c^3 + b*c^2)*x^3 - ((9*a*c^4 + 16*b*c^3)*x^4 - 16*b*x - 9*a)*log(-c*x + 1)^2 + 6*(2*(3*a*c^3 + 4*b*c^2)*x^3 + 2*a*c*x + (3*a*c^2 + 4*b*c)*x^2 + 2*((3*a*c^4 + 4*b*c^3)*x^4 - 4*b*x - 3*a)*log(-c*x + 1))*dilog(c*x) + 2*((41*a*c^4 + 54*b*c^3)*x^4 - (27*a*c^3 + 40*b*c^2)*x^3 - 5*a*c*x - (9*a*c^2 + 14*b*c)*x^2)*log(-c*x + 1))/x^4","A",0
192,1,518,0,0.335695," ","integrate(x*(c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x),x, algorithm=""maxima"")","-\frac{1}{6912} \, d {\left(\frac{576 \, {\left(6 \, a d^{2} + 4 \, b d + 3 \, c\right)} {\left(\log\left(d x\right) \log\left(-d x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-d x + 1\right) \log\left(-d x + 1\right) - 2 \, {\rm Li}_{3}(-d x + 1)\right)}}{d^{5}} - \frac{81 \, c d^{4} x^{4} + 4 \, {\left(64 \, b d^{4} + 67 \, c d^{3}\right)} x^{3} + 6 \, {\left(216 \, a d^{4} + 176 \, b d^{3} + 139 \, c d^{2}\right)} x^{2} + 12 \, {\left(792 \, a d^{3} + 496 \, b d^{2} + 355 \, c d\right)} x - 48 \, {\left(9 \, c d^{4} x^{4} + 4 \, {\left(4 \, b d^{4} + 3 \, c d^{3}\right)} x^{3} + 6 \, {\left(6 \, a d^{4} + 4 \, b d^{3} + 3 \, c d^{2}\right)} x^{2} + 12 \, {\left(6 \, a d^{3} + 4 \, b d^{2} + 3 \, c d\right)} x + 12 \, {\left(6 \, a d^{2} + 4 \, b d + 3 \, c\right)} \log\left(-d x + 1\right)\right)} {\rm Li}_2\left(d x\right) - 4 \, {\left(54 \, c d^{4} x^{4} + 4 \, {\left(32 \, b d^{4} + 21 \, c d^{3}\right)} x^{3} - 2376 \, a d^{2} + 6 \, {\left(72 \, a d^{4} + 40 \, b d^{3} + 27 \, c d^{2}\right)} x^{2} - 1488 \, b d + 12 \, {\left(108 \, a d^{3} + 64 \, b d^{2} + 45 \, c d\right)} x - 1065 \, c\right)} \log\left(-d x + 1\right)}{d^{5}}\right)} + \frac{1}{1728} \, {\left(\frac{216 \, {\left(4 \, d^{2} x^{2} {\rm Li}_2\left(d x\right) - d^{2} x^{2} - 2 \, d x + 2 \, {\left(d^{2} x^{2} - 1\right)} \log\left(-d x + 1\right)\right)} a}{d^{2}} + \frac{32 \, {\left(18 \, d^{3} x^{3} {\rm Li}_2\left(d x\right) - 2 \, d^{3} x^{3} - 3 \, d^{2} x^{2} - 6 \, d x + 6 \, {\left(d^{3} x^{3} - 1\right)} \log\left(-d x + 1\right)\right)} b}{d^{3}} + \frac{9 \, {\left(48 \, d^{4} x^{4} {\rm Li}_2\left(d x\right) - 3 \, d^{4} x^{4} - 4 \, d^{3} x^{3} - 6 \, d^{2} x^{2} - 12 \, d x + 12 \, {\left(d^{4} x^{4} - 1\right)} \log\left(-d x + 1\right)\right)} c}{d^{4}}\right)} \log\left(-d x + 1\right)"," ",0,"-1/6912*d*(576*(6*a*d^2 + 4*b*d + 3*c)*(log(d*x)*log(-d*x + 1)^2 + 2*dilog(-d*x + 1)*log(-d*x + 1) - 2*polylog(3, -d*x + 1))/d^5 - (81*c*d^4*x^4 + 4*(64*b*d^4 + 67*c*d^3)*x^3 + 6*(216*a*d^4 + 176*b*d^3 + 139*c*d^2)*x^2 + 12*(792*a*d^3 + 496*b*d^2 + 355*c*d)*x - 48*(9*c*d^4*x^4 + 4*(4*b*d^4 + 3*c*d^3)*x^3 + 6*(6*a*d^4 + 4*b*d^3 + 3*c*d^2)*x^2 + 12*(6*a*d^3 + 4*b*d^2 + 3*c*d)*x + 12*(6*a*d^2 + 4*b*d + 3*c)*log(-d*x + 1))*dilog(d*x) - 4*(54*c*d^4*x^4 + 4*(32*b*d^4 + 21*c*d^3)*x^3 - 2376*a*d^2 + 6*(72*a*d^4 + 40*b*d^3 + 27*c*d^2)*x^2 - 1488*b*d + 12*(108*a*d^3 + 64*b*d^2 + 45*c*d)*x - 1065*c)*log(-d*x + 1))/d^5) + 1/1728*(216*(4*d^2*x^2*dilog(d*x) - d^2*x^2 - 2*d*x + 2*(d^2*x^2 - 1)*log(-d*x + 1))*a/d^2 + 32*(18*d^3*x^3*dilog(d*x) - 2*d^3*x^3 - 3*d^2*x^2 - 6*d*x + 6*(d^3*x^3 - 1)*log(-d*x + 1))*b/d^3 + 9*(48*d^4*x^4*dilog(d*x) - 3*d^4*x^4 - 4*d^3*x^3 - 6*d^2*x^2 - 12*d*x + 12*(d^4*x^4 - 1)*log(-d*x + 1))*c/d^4)*log(-d*x + 1)","A",0
193,1,412,0,0.343219," ","integrate((c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x),x, algorithm=""maxima"")","-\frac{1}{432} \, d {\left(\frac{72 \, {\left(6 \, a d^{2} + 3 \, b d + 2 \, c\right)} {\left(\log\left(d x\right) \log\left(-d x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-d x + 1\right) \log\left(-d x + 1\right) - 2 \, {\rm Li}_{3}(-d x + 1)\right)}}{d^{4}} - \frac{16 \, c d^{3} x^{3} + 3 \, {\left(27 \, b d^{3} + 22 \, c d^{2}\right)} x^{2} + 6 \, {\left(216 \, a d^{3} + 99 \, b d^{2} + 62 \, c d\right)} x - 12 \, {\left(4 \, c d^{3} x^{3} + 3 \, {\left(3 \, b d^{3} + 2 \, c d^{2}\right)} x^{2} + 6 \, {\left(6 \, a d^{3} + 3 \, b d^{2} + 2 \, c d\right)} x + 6 \, {\left(6 \, a d^{2} + 3 \, b d + 2 \, c\right)} \log\left(-d x + 1\right)\right)} {\rm Li}_2\left(d x\right) - 2 \, {\left(16 \, c d^{3} x^{3} - 648 \, a d^{2} + 6 \, {\left(9 \, b d^{3} + 5 \, c d^{2}\right)} x^{2} - 297 \, b d + 6 \, {\left(72 \, a d^{3} + 27 \, b d^{2} + 16 \, c d\right)} x - 186 \, c\right)} \log\left(-d x + 1\right)}{d^{4}}\right)} + \frac{1}{216} \, {\left(\frac{216 \, {\left(d x {\rm Li}_2\left(d x\right) - d x + {\left(d x - 1\right)} \log\left(-d x + 1\right)\right)} a}{d} + \frac{27 \, {\left(4 \, d^{2} x^{2} {\rm Li}_2\left(d x\right) - d^{2} x^{2} - 2 \, d x + 2 \, {\left(d^{2} x^{2} - 1\right)} \log\left(-d x + 1\right)\right)} b}{d^{2}} + \frac{4 \, {\left(18 \, d^{3} x^{3} {\rm Li}_2\left(d x\right) - 2 \, d^{3} x^{3} - 3 \, d^{2} x^{2} - 6 \, d x + 6 \, {\left(d^{3} x^{3} - 1\right)} \log\left(-d x + 1\right)\right)} c}{d^{3}}\right)} \log\left(-d x + 1\right)"," ",0,"-1/432*d*(72*(6*a*d^2 + 3*b*d + 2*c)*(log(d*x)*log(-d*x + 1)^2 + 2*dilog(-d*x + 1)*log(-d*x + 1) - 2*polylog(3, -d*x + 1))/d^4 - (16*c*d^3*x^3 + 3*(27*b*d^3 + 22*c*d^2)*x^2 + 6*(216*a*d^3 + 99*b*d^2 + 62*c*d)*x - 12*(4*c*d^3*x^3 + 3*(3*b*d^3 + 2*c*d^2)*x^2 + 6*(6*a*d^3 + 3*b*d^2 + 2*c*d)*x + 6*(6*a*d^2 + 3*b*d + 2*c)*log(-d*x + 1))*dilog(d*x) - 2*(16*c*d^3*x^3 - 648*a*d^2 + 6*(9*b*d^3 + 5*c*d^2)*x^2 - 297*b*d + 6*(72*a*d^3 + 27*b*d^2 + 16*c*d)*x - 186*c)*log(-d*x + 1))/d^4) + 1/216*(216*(d*x*dilog(d*x) - d*x + (d*x - 1)*log(-d*x + 1))*a/d + 27*(4*d^2*x^2*dilog(d*x) - d^2*x^2 - 2*d*x + 2*(d^2*x^2 - 1)*log(-d*x + 1))*b/d^2 + 4*(18*d^3*x^3*dilog(d*x) - 2*d^3*x^3 - 3*d^2*x^2 - 6*d*x + 6*(d^3*x^3 - 1)*log(-d*x + 1))*c/d^3)*log(-d*x + 1)","A",0
194,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x)/x,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)} {\rm Li}_2\left(d x\right) \log\left(-d x + 1\right)}{x}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)*dilog(d*x)*log(-d*x + 1)/x, x)","F",0
195,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)} {\rm Li}_2\left(d x\right) \log\left(-d x + 1\right)}{x^{2}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)*dilog(d*x)*log(-d*x + 1)/x^2, x)","F",0
196,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2} + b x + a\right)} {\rm Li}_2\left(d x\right) \log\left(-d x + 1\right)}{x^{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)*dilog(d*x)*log(-d*x + 1)/x^3, x)","F",0
197,1,319,0,0.400314," ","integrate((c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x)/x^4,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(2 \, a d^{3} + 3 \, b d^{2} + 6 \, c d\right)} {\left(\log\left(d x\right) \log\left(-d x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-d x + 1\right) \log\left(-d x + 1\right) - 2 \, {\rm Li}_{3}(-d x + 1)\right)} + \frac{1}{18} \, {\left(4 \, a d^{3} + 9 \, b d^{2} + 36 \, c d\right)} {\left(\log\left(d x\right) \log\left(-d x + 1\right) + {\rm Li}_2\left(-d x + 1\right)\right)} - \frac{1}{4} \, {\left(3 \, a d^{3} + 4 \, b d^{2}\right)} \log\left(x\right) - \frac{1}{6} \, {\left(2 \, a d^{3} + 3 \, b d^{2} + 6 \, c d\right)} {\rm Li}_{3}(d x) + \frac{7 \, a d^{2} x^{2} - {\left({\left(4 \, a d^{3} + 9 \, b d^{2} + 36 \, c d\right)} x^{3} - 36 \, c x^{2} - 9 \, b x - 4 \, a\right)} \log\left(-d x + 1\right)^{2} + 6 \, {\left(a d x + {\left(2 \, a d^{2} + 3 \, b d\right)} x^{2} + {\left({\left(2 \, a d^{3} + 3 \, b d^{2} + 6 \, c d\right)} x^{3} - 6 \, c x^{2} - 3 \, b x - 2 \, a\right)} \log\left(-d x + 1\right)\right)} {\rm Li}_2\left(d x\right) + {\left(9 \, {\left(3 \, a d^{3} + 4 \, b d^{2}\right)} x^{3} - 7 \, a d x - 4 \, {\left(5 \, a d^{2} + 9 \, b d\right)} x^{2}\right)} \log\left(-d x + 1\right)}{36 \, x^{3}}"," ",0,"1/6*(2*a*d^3 + 3*b*d^2 + 6*c*d)*(log(d*x)*log(-d*x + 1)^2 + 2*dilog(-d*x + 1)*log(-d*x + 1) - 2*polylog(3, -d*x + 1)) + 1/18*(4*a*d^3 + 9*b*d^2 + 36*c*d)*(log(d*x)*log(-d*x + 1) + dilog(-d*x + 1)) - 1/4*(3*a*d^3 + 4*b*d^2)*log(x) - 1/6*(2*a*d^3 + 3*b*d^2 + 6*c*d)*polylog(3, d*x) + 1/36*(7*a*d^2*x^2 - ((4*a*d^3 + 9*b*d^2 + 36*c*d)*x^3 - 36*c*x^2 - 9*b*x - 4*a)*log(-d*x + 1)^2 + 6*(a*d*x + (2*a*d^2 + 3*b*d)*x^2 + ((2*a*d^3 + 3*b*d^2 + 6*c*d)*x^3 - 6*c*x^2 - 3*b*x - 2*a)*log(-d*x + 1))*dilog(d*x) + (9*(3*a*d^3 + 4*b*d^2)*x^3 - 7*a*d*x - 4*(5*a*d^2 + 9*b*d)*x^2)*log(-d*x + 1))/x^3","A",0
198,1,403,0,0.393175," ","integrate((c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x)/x^5,x, algorithm=""maxima"")","\frac{1}{12} \, {\left(3 \, a d^{4} + 4 \, b d^{3} + 6 \, c d^{2}\right)} {\left(\log\left(d x\right) \log\left(-d x + 1\right)^{2} + 2 \, {\rm Li}_2\left(-d x + 1\right) \log\left(-d x + 1\right) - 2 \, {\rm Li}_{3}(-d x + 1)\right)} + \frac{1}{72} \, {\left(9 \, a d^{4} + 16 \, b d^{3} + 36 \, c d^{2}\right)} {\left(\log\left(d x\right) \log\left(-d x + 1\right) + {\rm Li}_2\left(-d x + 1\right)\right)} - \frac{1}{72} \, {\left(41 \, a d^{4} + 54 \, b d^{3} + 72 \, c d^{2}\right)} \log\left(x\right) - \frac{1}{12} \, {\left(3 \, a d^{4} + 4 \, b d^{3} + 6 \, c d^{2}\right)} {\rm Li}_{3}(d x) + \frac{5 \, a d^{2} x^{2} + 28 \, {\left(a d^{3} + b d^{2}\right)} x^{3} - {\left({\left(9 \, a d^{4} + 16 \, b d^{3} + 36 \, c d^{2}\right)} x^{4} - 36 \, c x^{2} - 16 \, b x - 9 \, a\right)} \log\left(-d x + 1\right)^{2} + 6 \, {\left(2 \, {\left(3 \, a d^{3} + 4 \, b d^{2} + 6 \, c d\right)} x^{3} + 2 \, a d x + {\left(3 \, a d^{2} + 4 \, b d\right)} x^{2} + 2 \, {\left({\left(3 \, a d^{4} + 4 \, b d^{3} + 6 \, c d^{2}\right)} x^{4} - 6 \, c x^{2} - 4 \, b x - 3 \, a\right)} \log\left(-d x + 1\right)\right)} {\rm Li}_2\left(d x\right) + 2 \, {\left({\left(41 \, a d^{4} + 54 \, b d^{3} + 72 \, c d^{2}\right)} x^{4} - {\left(27 \, a d^{3} + 40 \, b d^{2} + 72 \, c d\right)} x^{3} - 5 \, a d x - {\left(9 \, a d^{2} + 14 \, b d\right)} x^{2}\right)} \log\left(-d x + 1\right)}{144 \, x^{4}}"," ",0,"1/12*(3*a*d^4 + 4*b*d^3 + 6*c*d^2)*(log(d*x)*log(-d*x + 1)^2 + 2*dilog(-d*x + 1)*log(-d*x + 1) - 2*polylog(3, -d*x + 1)) + 1/72*(9*a*d^4 + 16*b*d^3 + 36*c*d^2)*(log(d*x)*log(-d*x + 1) + dilog(-d*x + 1)) - 1/72*(41*a*d^4 + 54*b*d^3 + 72*c*d^2)*log(x) - 1/12*(3*a*d^4 + 4*b*d^3 + 6*c*d^2)*polylog(3, d*x) + 1/144*(5*a*d^2*x^2 + 28*(a*d^3 + b*d^2)*x^3 - ((9*a*d^4 + 16*b*d^3 + 36*c*d^2)*x^4 - 36*c*x^2 - 16*b*x - 9*a)*log(-d*x + 1)^2 + 6*(2*(3*a*d^3 + 4*b*d^2 + 6*c*d)*x^3 + 2*a*d*x + (3*a*d^2 + 4*b*d)*x^2 + 2*((3*a*d^4 + 4*b*d^3 + 6*c*d^2)*x^4 - 6*c*x^2 - 4*b*x - 3*a)*log(-d*x + 1))*dilog(d*x) + 2*((41*a*d^4 + 54*b*d^3 + 72*c*d^2)*x^4 - (27*a*d^3 + 40*b*d^2 + 72*c*d)*x^3 - 5*a*d*x - (9*a*d^2 + 14*b*d)*x^2)*log(-d*x + 1))/x^4","A",0
