1,1,72,0,1.211039," ","integrate(x^4*polylog(2,a*x),x, algorithm=""fricas"")","\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
2,1,64,0,1.524751," ","integrate(x^3*polylog(2,a*x),x, algorithm=""fricas"")","\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
3,1,56,0,0.514745," ","integrate(x^2*polylog(2,a*x),x, algorithm=""fricas"")","\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
4,1,48,0,0.564679," ","integrate(x*polylog(2,a*x),x, algorithm=""fricas"")","\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
5,1,29,0,1.053959," ","integrate(polylog(2,a*x),x, algorithm=""fricas"")","\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
6,0,0,0,0.443212," ","integrate(polylog(2,a*x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(a x\right)}{x}, x\right)"," ",0,"integral(dilog(a*x)/x, x)","F",0
7,1,34,0,1.362650," ","integrate(polylog(2,a*x)/x^2,x, algorithm=""fricas"")","-\frac{a x \log\left(a x - 1\right) - a x \log\left(x\right) + {\rm Li}_2\left(a x\right) - \log\left(-a x + 1\right)}{x}"," ",0,"-(a*x*log(a*x - 1) - a*x*log(x) + dilog(a*x) - log(-a*x + 1))/x","A",0
8,1,47,0,0.547381," ","integrate(polylog(2,a*x)/x^3,x, algorithm=""fricas"")","-\frac{a^{2} x^{2} \log\left(a x - 1\right) - a^{2} x^{2} \log\left(x\right) + a x + 2 \, {\rm Li}_2\left(a x\right) - \log\left(-a x + 1\right)}{4 \, x^{2}}"," ",0,"-1/4*(a^2*x^2*log(a*x - 1) - a^2*x^2*log(x) + a*x + 2*dilog(a*x) - log(-a*x + 1))/x^2","A",0
9,1,56,0,0.528794," ","integrate(polylog(2,a*x)/x^4,x, algorithm=""fricas"")","-\frac{2 \, a^{3} x^{3} \log\left(a x - 1\right) - 2 \, a^{3} x^{3} \log\left(x\right) + 2 \, a^{2} x^{2} + a x + 6 \, {\rm Li}_2\left(a x\right) - 2 \, \log\left(-a x + 1\right)}{18 \, x^{3}}"," ",0,"-1/18*(2*a^3*x^3*log(a*x - 1) - 2*a^3*x^3*log(x) + 2*a^2*x^2 + a*x + 6*dilog(a*x) - 2*log(-a*x + 1))/x^3","A",0
10,1,65,0,0.745696," ","integrate(polylog(2,a*x)/x^5,x, algorithm=""fricas"")","-\frac{6 \, a^{4} x^{4} \log\left(a x - 1\right) - 6 \, a^{4} x^{4} \log\left(x\right) + 6 \, a^{3} x^{3} + 3 \, a^{2} x^{2} + 2 \, a x + 24 \, {\rm Li}_2\left(a x\right) - 6 \, \log\left(-a x + 1\right)}{96 \, x^{4}}"," ",0,"-1/96*(6*a^4*x^4*log(a*x - 1) - 6*a^4*x^4*log(x) + 6*a^3*x^3 + 3*a^2*x^2 + 2*a*x + 24*dilog(a*x) - 6*log(-a*x + 1))/x^4","A",0
11,1,77,0,0.537312," ","integrate(x^3*polylog(3,a*x),x, algorithm=""fricas"")","-\frac{48 \, a^{4} x^{4} {\rm Li}_2\left(a x\right) - 192 \, a^{4} x^{4} {\rm polylog}\left(3, 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)}{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","C",0
12,1,69,0,0.950404," ","integrate(x^2*polylog(3,a*x),x, algorithm=""fricas"")","-\frac{18 \, a^{3} x^{3} {\rm Li}_2\left(a x\right) - 54 \, a^{3} x^{3} {\rm polylog}\left(3, 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)}{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","C",0
13,1,61,0,0.771282," ","integrate(x*polylog(3,a*x),x, algorithm=""fricas"")","-\frac{4 \, a^{2} x^{2} {\rm Li}_2\left(a x\right) - 8 \, a^{2} x^{2} {\rm polylog}\left(3, a x\right) - 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","C",0
14,1,39,0,0.488921," ","integrate(polylog(3,a*x),x, algorithm=""fricas"")","-\frac{a x {\rm Li}_2\left(a x\right) - a x {\rm polylog}\left(3, 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*polylog(3, a*x) - a*x + (a*x - 1)*log(-a*x + 1))/a","C",0
15,0,0,0,0.484159," ","integrate(polylog(3,a*x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(3, a x\right)}{x}, x\right)"," ",0,"integral(polylog(3, a*x)/x, x)","F",0
16,1,39,0,0.492783," ","integrate(polylog(3,a*x)/x^2,x, algorithm=""fricas"")","-\frac{a x \log\left(a x - 1\right) - a x \log\left(x\right) + {\rm Li}_2\left(a x\right) - \log\left(-a x + 1\right) + {\rm polylog}\left(3, a x\right)}{x}"," ",0,"-(a*x*log(a*x - 1) - a*x*log(x) + dilog(a*x) - log(-a*x + 1) + polylog(3, a*x))/x","C",0
17,1,54,0,0.624839," ","integrate(polylog(3,a*x)/x^3,x, algorithm=""fricas"")","-\frac{a^{2} x^{2} \log\left(a x - 1\right) - a^{2} x^{2} \log\left(x\right) + a x + 2 \, {\rm Li}_2\left(a x\right) - \log\left(-a x + 1\right) + 4 \, {\rm polylog}\left(3, a x\right)}{8 \, x^{2}}"," ",0,"-1/8*(a^2*x^2*log(a*x - 1) - a^2*x^2*log(x) + a*x + 2*dilog(a*x) - log(-a*x + 1) + 4*polylog(3, a*x))/x^2","C",0
18,1,63,0,0.707109," ","integrate(polylog(3,a*x)/x^4,x, algorithm=""fricas"")","-\frac{2 \, a^{3} x^{3} \log\left(a x - 1\right) - 2 \, a^{3} x^{3} \log\left(x\right) + 2 \, a^{2} x^{2} + a x + 6 \, {\rm Li}_2\left(a x\right) - 2 \, \log\left(-a x + 1\right) + 18 \, {\rm polylog}\left(3, a x\right)}{54 \, x^{3}}"," ",0,"-1/54*(2*a^3*x^3*log(a*x - 1) - 2*a^3*x^3*log(x) + 2*a^2*x^2 + a*x + 6*dilog(a*x) - 2*log(-a*x + 1) + 18*polylog(3, a*x))/x^3","C",0
19,1,62,0,0.447623," ","integrate(x^5*polylog(2,a*x^2),x, algorithm=""fricas"")","\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
20,1,54,0,0.718548," ","integrate(x^3*polylog(2,a*x^2),x, algorithm=""fricas"")","\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
21,1,40,0,0.526385," ","integrate(x*polylog(2,a*x^2),x, algorithm=""fricas"")","\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
22,0,0,0,0.495014," ","integrate(polylog(2,a*x^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(a x^{2}\right)}{x}, x\right)"," ",0,"integral(dilog(a*x^2)/x, x)","F",0
23,1,44,0,0.913084," ","integrate(polylog(2,a*x^2)/x^3,x, algorithm=""fricas"")","-\frac{a x^{2} \log\left(a x^{2} - 1\right) - 2 \, a x^{2} \log\left(x\right) + {\rm Li}_2\left(a x^{2}\right) - \log\left(-a x^{2} + 1\right)}{2 \, x^{2}}"," ",0,"-1/2*(a*x^2*log(a*x^2 - 1) - 2*a*x^2*log(x) + dilog(a*x^2) - log(-a*x^2 + 1))/x^2","A",0
24,1,55,0,1.350198," ","integrate(polylog(2,a*x^2)/x^5,x, algorithm=""fricas"")","-\frac{a^{2} x^{4} \log\left(a x^{2} - 1\right) - 2 \, a^{2} x^{4} \log\left(x\right) + a x^{2} + 2 \, {\rm Li}_2\left(a x^{2}\right) - \log\left(-a x^{2} + 1\right)}{8 \, x^{4}}"," ",0,"-1/8*(a^2*x^4*log(a*x^2 - 1) - 2*a^2*x^4*log(x) + a*x^2 + 2*dilog(a*x^2) - log(-a*x^2 + 1))/x^4","A",0
25,1,64,0,0.450612," ","integrate(polylog(2,a*x^2)/x^7,x, algorithm=""fricas"")","-\frac{2 \, a^{3} x^{6} \log\left(a x^{2} - 1\right) - 4 \, a^{3} x^{6} \log\left(x\right) + 2 \, a^{2} x^{4} + a x^{2} + 6 \, {\rm Li}_2\left(a x^{2}\right) - 2 \, \log\left(-a x^{2} + 1\right)}{36 \, x^{6}}"," ",0,"-1/36*(2*a^3*x^6*log(a*x^2 - 1) - 4*a^3*x^6*log(x) + 2*a^2*x^4 + a*x^2 + 6*dilog(a*x^2) - 2*log(-a*x^2 + 1))/x^6","A",0
26,1,159,0,1.304771," ","integrate(x^4*polylog(2,a*x^2),x, algorithm=""fricas"")","\left[\frac{75 \, a^{3} x^{5} {\rm Li}_2\left(a x^{2}\right) + 30 \, a^{3} x^{5} \log\left(-a x^{2} + 1\right) - 12 \, a^{3} x^{5} - 20 \, a^{2} x^{3} - 60 \, a x + 30 \, \sqrt{a} \log\left(\frac{a x^{2} + 2 \, \sqrt{a} x + 1}{a x^{2} - 1}\right)}{375 \, a^{3}}, \frac{75 \, a^{3} x^{5} {\rm Li}_2\left(a x^{2}\right) + 30 \, a^{3} x^{5} \log\left(-a x^{2} + 1\right) - 12 \, a^{3} x^{5} - 20 \, a^{2} x^{3} - 60 \, a x - 60 \, \sqrt{-a} \arctan\left(\sqrt{-a} x\right)}{375 \, a^{3}}\right]"," ",0,"[1/375*(75*a^3*x^5*dilog(a*x^2) + 30*a^3*x^5*log(-a*x^2 + 1) - 12*a^3*x^5 - 20*a^2*x^3 - 60*a*x + 30*sqrt(a)*log((a*x^2 + 2*sqrt(a)*x + 1)/(a*x^2 - 1)))/a^3, 1/375*(75*a^3*x^5*dilog(a*x^2) + 30*a^3*x^5*log(-a*x^2 + 1) - 12*a^3*x^5 - 20*a^2*x^3 - 60*a*x - 60*sqrt(-a)*arctan(sqrt(-a)*x))/a^3]","A",0
27,1,143,0,0.650940," ","integrate(x^2*polylog(2,a*x^2),x, algorithm=""fricas"")","\left[\frac{9 \, a^{2} x^{3} {\rm Li}_2\left(a x^{2}\right) + 6 \, a^{2} x^{3} \log\left(-a x^{2} + 1\right) - 4 \, a^{2} x^{3} - 12 \, a x + 6 \, \sqrt{a} \log\left(\frac{a x^{2} + 2 \, \sqrt{a} x + 1}{a x^{2} - 1}\right)}{27 \, a^{2}}, \frac{9 \, a^{2} x^{3} {\rm Li}_2\left(a x^{2}\right) + 6 \, a^{2} x^{3} \log\left(-a x^{2} + 1\right) - 4 \, a^{2} x^{3} - 12 \, a x - 12 \, \sqrt{-a} \arctan\left(\sqrt{-a} x\right)}{27 \, a^{2}}\right]"," ",0,"[1/27*(9*a^2*x^3*dilog(a*x^2) + 6*a^2*x^3*log(-a*x^2 + 1) - 4*a^2*x^3 - 12*a*x + 6*sqrt(a)*log((a*x^2 + 2*sqrt(a)*x + 1)/(a*x^2 - 1)))/a^2, 1/27*(9*a^2*x^3*dilog(a*x^2) + 6*a^2*x^3*log(-a*x^2 + 1) - 4*a^2*x^3 - 12*a*x - 12*sqrt(-a)*arctan(sqrt(-a)*x))/a^2]","A",0
28,1,107,0,0.558225," ","integrate(polylog(2,a*x^2),x, algorithm=""fricas"")","\left[\frac{a x {\rm Li}_2\left(a x^{2}\right) + 2 \, a x \log\left(-a x^{2} + 1\right) - 4 \, a x + 2 \, \sqrt{a} \log\left(\frac{a x^{2} + 2 \, \sqrt{a} x + 1}{a x^{2} - 1}\right)}{a}, \frac{a x {\rm Li}_2\left(a x^{2}\right) + 2 \, a x \log\left(-a x^{2} + 1\right) - 4 \, a x - 4 \, \sqrt{-a} \arctan\left(\sqrt{-a} x\right)}{a}\right]"," ",0,"[(a*x*dilog(a*x^2) + 2*a*x*log(-a*x^2 + 1) - 4*a*x + 2*sqrt(a)*log((a*x^2 + 2*sqrt(a)*x + 1)/(a*x^2 - 1)))/a, (a*x*dilog(a*x^2) + 2*a*x*log(-a*x^2 + 1) - 4*a*x - 4*sqrt(-a)*arctan(sqrt(-a)*x))/a]","A",0
29,1,94,0,1.002322," ","integrate(polylog(2,a*x^2)/x^2,x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{a} x \log\left(\frac{a x^{2} + 2 \, \sqrt{a} x + 1}{a x^{2} - 1}\right) - {\rm Li}_2\left(a x^{2}\right) + 2 \, \log\left(-a x^{2} + 1\right)}{x}, -\frac{4 \, \sqrt{-a} x \arctan\left(\sqrt{-a} x\right) + {\rm Li}_2\left(a x^{2}\right) - 2 \, \log\left(-a x^{2} + 1\right)}{x}\right]"," ",0,"[(2*sqrt(a)*x*log((a*x^2 + 2*sqrt(a)*x + 1)/(a*x^2 - 1)) - dilog(a*x^2) + 2*log(-a*x^2 + 1))/x, -(4*sqrt(-a)*x*arctan(sqrt(-a)*x) + dilog(a*x^2) - 2*log(-a*x^2 + 1))/x]","A",0
30,1,114,0,0.598534," ","integrate(polylog(2,a*x^2)/x^4,x, algorithm=""fricas"")","\left[\frac{2 \, a^{\frac{3}{2}} x^{3} \log\left(\frac{a x^{2} + 2 \, \sqrt{a} x + 1}{a x^{2} - 1}\right) - 4 \, a x^{2} - 3 \, {\rm Li}_2\left(a x^{2}\right) + 2 \, \log\left(-a x^{2} + 1\right)}{9 \, x^{3}}, -\frac{4 \, \sqrt{-a} a x^{3} \arctan\left(\sqrt{-a} x\right) + 4 \, a x^{2} + 3 \, {\rm Li}_2\left(a x^{2}\right) - 2 \, \log\left(-a x^{2} + 1\right)}{9 \, x^{3}}\right]"," ",0,"[1/9*(2*a^(3/2)*x^3*log((a*x^2 + 2*sqrt(a)*x + 1)/(a*x^2 - 1)) - 4*a*x^2 - 3*dilog(a*x^2) + 2*log(-a*x^2 + 1))/x^3, -1/9*(4*sqrt(-a)*a*x^3*arctan(sqrt(-a)*x) + 4*a*x^2 + 3*dilog(a*x^2) - 2*log(-a*x^2 + 1))/x^3]","A",0
31,1,132,0,0.515255," ","integrate(polylog(2,a*x^2)/x^6,x, algorithm=""fricas"")","\left[\frac{6 \, a^{\frac{5}{2}} x^{5} \log\left(\frac{a x^{2} + 2 \, \sqrt{a} x + 1}{a x^{2} - 1}\right) - 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}}, -\frac{12 \, \sqrt{-a} a^{2} x^{5} \arctan\left(\sqrt{-a} x\right) + 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}}\right]"," ",0,"[1/75*(6*a^(5/2)*x^5*log((a*x^2 + 2*sqrt(a)*x + 1)/(a*x^2 - 1)) - 12*a^2*x^4 - 4*a*x^2 - 15*dilog(a*x^2) + 6*log(-a*x^2 + 1))/x^5, -1/75*(12*sqrt(-a)*a^2*x^5*arctan(sqrt(-a)*x) + 12*a^2*x^4 + 4*a*x^2 + 15*dilog(a*x^2) - 6*log(-a*x^2 + 1))/x^5]","A",0
32,1,77,0,0.489043," ","integrate(x^5*polylog(3,a*x^2),x, algorithm=""fricas"")","-\frac{18 \, a^{3} x^{6} {\rm Li}_2\left(a x^{2}\right) - 54 \, a^{3} x^{6} {\rm polylog}\left(3, 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)}{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","C",0
33,1,69,0,0.709746," ","integrate(x^3*polylog(3,a*x^2),x, algorithm=""fricas"")","-\frac{4 \, a^{2} x^{4} {\rm Li}_2\left(a x^{2}\right) - 8 \, a^{2} x^{4} {\rm polylog}\left(3, 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)}{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","C",0
34,1,53,0,0.480592," ","integrate(x*polylog(3,a*x^2),x, algorithm=""fricas"")","-\frac{a x^{2} {\rm Li}_2\left(a x^{2}\right) - a x^{2} {\rm polylog}\left(3, 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*polylog(3, a*x^2) - a*x^2 + (a*x^2 - 1)*log(-a*x^2 + 1))/a","C",0
35,0,0,0,0.844973," ","integrate(polylog(3,a*x^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(3, a x^{2}\right)}{x}, x\right)"," ",0,"integral(polylog(3, a*x^2)/x, x)","F",0
36,1,51,0,0.567500," ","integrate(polylog(3,a*x^2)/x^3,x, algorithm=""fricas"")","-\frac{a x^{2} \log\left(a x^{2} - 1\right) - 2 \, a x^{2} \log\left(x\right) + {\rm Li}_2\left(a x^{2}\right) - \log\left(-a x^{2} + 1\right) + {\rm polylog}\left(3, a x^{2}\right)}{2 \, x^{2}}"," ",0,"-1/2*(a*x^2*log(a*x^2 - 1) - 2*a*x^2*log(x) + dilog(a*x^2) - log(-a*x^2 + 1) + polylog(3, a*x^2))/x^2","C",0
37,1,64,0,0.572097," ","integrate(polylog(3,a*x^2)/x^5,x, algorithm=""fricas"")","-\frac{a^{2} x^{4} \log\left(a x^{2} - 1\right) - 2 \, a^{2} x^{4} \log\left(x\right) + a x^{2} + 2 \, {\rm Li}_2\left(a x^{2}\right) - \log\left(-a x^{2} + 1\right) + 4 \, {\rm polylog}\left(3, a x^{2}\right)}{16 \, x^{4}}"," ",0,"-1/16*(a^2*x^4*log(a*x^2 - 1) - 2*a^2*x^4*log(x) + a*x^2 + 2*dilog(a*x^2) - log(-a*x^2 + 1) + 4*polylog(3, a*x^2))/x^4","C",0
38,1,73,0,0.584356," ","integrate(polylog(3,a*x^2)/x^7,x, algorithm=""fricas"")","-\frac{2 \, a^{3} x^{6} \log\left(a x^{2} - 1\right) - 4 \, a^{3} x^{6} \log\left(x\right) + 2 \, a^{2} x^{4} + a x^{2} + 6 \, {\rm Li}_2\left(a x^{2}\right) - 2 \, \log\left(-a x^{2} + 1\right) + 18 \, {\rm polylog}\left(3, a x^{2}\right)}{108 \, x^{6}}"," ",0,"-1/108*(2*a^3*x^6*log(a*x^2 - 1) - 4*a^3*x^6*log(x) + 2*a^2*x^4 + a*x^2 + 6*dilog(a*x^2) - 2*log(-a*x^2 + 1) + 18*polylog(3, a*x^2))/x^6","C",0
39,1,189,0,0.525637," ","integrate(x^4*polylog(3,a*x^2),x, algorithm=""fricas"")","\left[-\frac{150 \, a^{3} x^{5} {\rm Li}_2\left(a x^{2}\right) + 60 \, a^{3} x^{5} \log\left(-a x^{2} + 1\right) - 375 \, a^{3} x^{5} {\rm polylog}\left(3, a x^{2}\right) - 24 \, a^{3} x^{5} - 40 \, a^{2} x^{3} - 120 \, a x - 60 \, \sqrt{a} \log\left(\frac{a x^{2} - 2 \, \sqrt{a} x + 1}{a x^{2} - 1}\right)}{1875 \, a^{3}}, -\frac{150 \, a^{3} x^{5} {\rm Li}_2\left(a x^{2}\right) + 60 \, a^{3} x^{5} \log\left(-a x^{2} + 1\right) - 375 \, a^{3} x^{5} {\rm polylog}\left(3, a x^{2}\right) - 24 \, a^{3} x^{5} - 40 \, a^{2} x^{3} - 120 \, a x - 120 \, \sqrt{-a} \arctan\left(\sqrt{-a} x\right)}{1875 \, a^{3}}\right]"," ",0,"[-1/1875*(150*a^3*x^5*dilog(a*x^2) + 60*a^3*x^5*log(-a*x^2 + 1) - 375*a^3*x^5*polylog(3, a*x^2) - 24*a^3*x^5 - 40*a^2*x^3 - 120*a*x - 60*sqrt(a)*log((a*x^2 - 2*sqrt(a)*x + 1)/(a*x^2 - 1)))/a^3, -1/1875*(150*a^3*x^5*dilog(a*x^2) + 60*a^3*x^5*log(-a*x^2 + 1) - 375*a^3*x^5*polylog(3, a*x^2) - 24*a^3*x^5 - 40*a^2*x^3 - 120*a*x - 120*sqrt(-a)*arctan(sqrt(-a)*x))/a^3]","C",0
40,1,173,0,0.646079," ","integrate(x^2*polylog(3,a*x^2),x, algorithm=""fricas"")","\left[-\frac{18 \, a^{2} x^{3} {\rm Li}_2\left(a x^{2}\right) + 12 \, a^{2} x^{3} \log\left(-a x^{2} + 1\right) - 27 \, a^{2} x^{3} {\rm polylog}\left(3, a x^{2}\right) - 8 \, a^{2} x^{3} - 24 \, a x - 12 \, \sqrt{a} \log\left(\frac{a x^{2} - 2 \, \sqrt{a} x + 1}{a x^{2} - 1}\right)}{81 \, a^{2}}, -\frac{18 \, a^{2} x^{3} {\rm Li}_2\left(a x^{2}\right) + 12 \, a^{2} x^{3} \log\left(-a x^{2} + 1\right) - 27 \, a^{2} x^{3} {\rm polylog}\left(3, a x^{2}\right) - 8 \, a^{2} x^{3} - 24 \, a x - 24 \, \sqrt{-a} \arctan\left(\sqrt{-a} x\right)}{81 \, a^{2}}\right]"," ",0,"[-1/81*(18*a^2*x^3*dilog(a*x^2) + 12*a^2*x^3*log(-a*x^2 + 1) - 27*a^2*x^3*polylog(3, a*x^2) - 8*a^2*x^3 - 24*a*x - 12*sqrt(a)*log((a*x^2 - 2*sqrt(a)*x + 1)/(a*x^2 - 1)))/a^2, -1/81*(18*a^2*x^3*dilog(a*x^2) + 12*a^2*x^3*log(-a*x^2 + 1) - 27*a^2*x^3*polylog(3, a*x^2) - 8*a^2*x^3 - 24*a*x - 24*sqrt(-a)*arctan(sqrt(-a)*x))/a^2]","C",0
41,1,133,0,0.733959," ","integrate(polylog(3,a*x^2),x, algorithm=""fricas"")","\left[-\frac{2 \, a x {\rm Li}_2\left(a x^{2}\right) + 4 \, a x \log\left(-a x^{2} + 1\right) - a x {\rm polylog}\left(3, a x^{2}\right) - 8 \, a x - 4 \, \sqrt{a} \log\left(\frac{a x^{2} - 2 \, \sqrt{a} x + 1}{a x^{2} - 1}\right)}{a}, -\frac{2 \, a x {\rm Li}_2\left(a x^{2}\right) + 4 \, a x \log\left(-a x^{2} + 1\right) - a x {\rm polylog}\left(3, a x^{2}\right) - 8 \, a x - 8 \, \sqrt{-a} \arctan\left(\sqrt{-a} x\right)}{a}\right]"," ",0,"[-(2*a*x*dilog(a*x^2) + 4*a*x*log(-a*x^2 + 1) - a*x*polylog(3, a*x^2) - 8*a*x - 4*sqrt(a)*log((a*x^2 - 2*sqrt(a)*x + 1)/(a*x^2 - 1)))/a, -(2*a*x*dilog(a*x^2) + 4*a*x*log(-a*x^2 + 1) - a*x*polylog(3, a*x^2) - 8*a*x - 8*sqrt(-a)*arctan(sqrt(-a)*x))/a]","C",0
42,1,112,0,0.547083," ","integrate(polylog(3,a*x^2)/x^2,x, algorithm=""fricas"")","\left[\frac{4 \, \sqrt{a} x \log\left(\frac{a x^{2} + 2 \, \sqrt{a} x + 1}{a x^{2} - 1}\right) - 2 \, {\rm Li}_2\left(a x^{2}\right) + 4 \, \log\left(-a x^{2} + 1\right) - {\rm polylog}\left(3, a x^{2}\right)}{x}, -\frac{8 \, \sqrt{-a} x \arctan\left(\sqrt{-a} x\right) + 2 \, {\rm Li}_2\left(a x^{2}\right) - 4 \, \log\left(-a x^{2} + 1\right) + {\rm polylog}\left(3, a x^{2}\right)}{x}\right]"," ",0,"[(4*sqrt(a)*x*log((a*x^2 + 2*sqrt(a)*x + 1)/(a*x^2 - 1)) - 2*dilog(a*x^2) + 4*log(-a*x^2 + 1) - polylog(3, a*x^2))/x, -(8*sqrt(-a)*x*arctan(sqrt(-a)*x) + 2*dilog(a*x^2) - 4*log(-a*x^2 + 1) + polylog(3, a*x^2))/x]","C",0
43,1,132,0,0.588874," ","integrate(polylog(3,a*x^2)/x^4,x, algorithm=""fricas"")","\left[\frac{4 \, a^{\frac{3}{2}} x^{3} \log\left(\frac{a x^{2} + 2 \, \sqrt{a} x + 1}{a x^{2} - 1}\right) - 8 \, a x^{2} - 6 \, {\rm Li}_2\left(a x^{2}\right) + 4 \, \log\left(-a x^{2} + 1\right) - 9 \, {\rm polylog}\left(3, a x^{2}\right)}{27 \, x^{3}}, -\frac{8 \, \sqrt{-a} a x^{3} \arctan\left(\sqrt{-a} x\right) + 8 \, a x^{2} + 6 \, {\rm Li}_2\left(a x^{2}\right) - 4 \, \log\left(-a x^{2} + 1\right) + 9 \, {\rm polylog}\left(3, a x^{2}\right)}{27 \, x^{3}}\right]"," ",0,"[1/27*(4*a^(3/2)*x^3*log((a*x^2 + 2*sqrt(a)*x + 1)/(a*x^2 - 1)) - 8*a*x^2 - 6*dilog(a*x^2) + 4*log(-a*x^2 + 1) - 9*polylog(3, a*x^2))/x^3, -1/27*(8*sqrt(-a)*a*x^3*arctan(sqrt(-a)*x) + 8*a*x^2 + 6*dilog(a*x^2) - 4*log(-a*x^2 + 1) + 9*polylog(3, a*x^2))/x^3]","C",0
44,1,150,0,0.809350," ","integrate(polylog(3,a*x^2)/x^6,x, algorithm=""fricas"")","\left[\frac{12 \, a^{\frac{5}{2}} x^{5} \log\left(\frac{a x^{2} + 2 \, \sqrt{a} x + 1}{a x^{2} - 1}\right) - 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 polylog}\left(3, a x^{2}\right)}{375 \, x^{5}}, -\frac{24 \, \sqrt{-a} a^{2} x^{5} \arctan\left(\sqrt{-a} x\right) + 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 polylog}\left(3, a x^{2}\right)}{375 \, x^{5}}\right]"," ",0,"[1/375*(12*a^(5/2)*x^5*log((a*x^2 + 2*sqrt(a)*x + 1)/(a*x^2 - 1)) - 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, -1/375*(24*sqrt(-a)*a^2*x^5*arctan(sqrt(-a)*x) + 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]","C",0
45,0,0,0,0.708139," ","integrate(x^2*polylog(2,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left(x^{2} {\rm Li}_2\left(a x^{q}\right), x\right)"," ",0,"integral(x^2*dilog(a*x^q), x)","F",0
46,0,0,0,1.036323," ","integrate(x*polylog(2,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left(x {\rm Li}_2\left(a x^{q}\right), x\right)"," ",0,"integral(x*dilog(a*x^q), x)","F",0
47,0,0,0,0.511926," ","integrate(polylog(2,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left({\rm Li}_2\left(a x^{q}\right), x\right)"," ",0,"integral(dilog(a*x^q), x)","F",0
48,1,11,0,0.564062," ","integrate(polylog(2,a*x^q)/x,x, algorithm=""fricas"")","\frac{{\rm polylog}\left(3, a x^{q}\right)}{q}"," ",0,"polylog(3, a*x^q)/q","A",0
49,0,0,0,0.693048," ","integrate(polylog(2,a*x^q)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(a x^{q}\right)}{x^{2}}, x\right)"," ",0,"integral(dilog(a*x^q)/x^2, x)","F",0
50,0,0,0,0.581828," ","integrate(polylog(2,a*x^q)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(a x^{q}\right)}{x^{3}}, x\right)"," ",0,"integral(dilog(a*x^q)/x^3, x)","F",0
51,0,0,0,0.674055," ","integrate(polylog(2,a*x^q)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(a x^{q}\right)}{x^{4}}, x\right)"," ",0,"integral(dilog(a*x^q)/x^4, x)","F",0
52,0,0,0,0.648369," ","integrate(x^2*polylog(3,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left(x^{2} {\rm polylog}\left(3, a x^{q}\right), x\right)"," ",0,"integral(x^2*polylog(3, a*x^q), x)","F",0
53,0,0,0,0.555650," ","integrate(x*polylog(3,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left(x {\rm polylog}\left(3, a x^{q}\right), x\right)"," ",0,"integral(x*polylog(3, a*x^q), x)","F",0
54,0,0,0,0.545878," ","integrate(polylog(3,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left({\rm polylog}\left(3, a x^{q}\right), x\right)"," ",0,"integral(polylog(3, a*x^q), x)","F",0
55,1,11,0,0.457985," ","integrate(polylog(3,a*x^q)/x,x, algorithm=""fricas"")","\frac{{\rm polylog}\left(4, a x^{q}\right)}{q}"," ",0,"polylog(4, a*x^q)/q","A",0
56,0,0,0,0.544336," ","integrate(polylog(3,a*x^q)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(3, a x^{q}\right)}{x^{2}}, x\right)"," ",0,"integral(polylog(3, a*x^q)/x^2, x)","F",0
57,0,0,0,0.490975," ","integrate(polylog(3,a*x^q)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(3, a x^{q}\right)}{x^{3}}, x\right)"," ",0,"integral(polylog(3, a*x^q)/x^3, x)","F",0
58,0,0,0,0.587356," ","integrate(polylog(3,a*x^q)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(3, a x^{q}\right)}{x^{4}}, x\right)"," ",0,"integral(polylog(3, a*x^q)/x^4, x)","F",0
59,1,190,0,0.587414," ","integrate((d*x)^(3/2)*polylog(2,a*x),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(30 \, d \sqrt{\frac{d}{a}} \log\left(\frac{a d x + 2 \, \sqrt{d x} a \sqrt{\frac{d}{a}} + d}{a x - 1}\right) + {\left(75 \, a^{2} d x^{2} {\rm Li}_2\left(a x\right) + 30 \, a^{2} d x^{2} \log\left(-a x + 1\right) - 12 \, a^{2} d x^{2} - 20 \, a d x - 60 \, d\right)} \sqrt{d x}\right)}}{375 \, a^{2}}, -\frac{2 \, {\left(60 \, d \sqrt{-\frac{d}{a}} \arctan\left(\frac{\sqrt{d x} a \sqrt{-\frac{d}{a}}}{d}\right) - {\left(75 \, a^{2} d x^{2} {\rm Li}_2\left(a x\right) + 30 \, a^{2} d x^{2} \log\left(-a x + 1\right) - 12 \, a^{2} d x^{2} - 20 \, a d x - 60 \, d\right)} \sqrt{d x}\right)}}{375 \, a^{2}}\right]"," ",0,"[2/375*(30*d*sqrt(d/a)*log((a*d*x + 2*sqrt(d*x)*a*sqrt(d/a) + d)/(a*x - 1)) + (75*a^2*d*x^2*dilog(a*x) + 30*a^2*d*x^2*log(-a*x + 1) - 12*a^2*d*x^2 - 20*a*d*x - 60*d)*sqrt(d*x))/a^2, -2/375*(60*d*sqrt(-d/a)*arctan(sqrt(d*x)*a*sqrt(-d/a)/d) - (75*a^2*d*x^2*dilog(a*x) + 30*a^2*d*x^2*log(-a*x + 1) - 12*a^2*d*x^2 - 20*a*d*x - 60*d)*sqrt(d*x))/a^2]","A",0
60,1,143,0,0.768359," ","integrate((d*x)^(1/2)*polylog(2,a*x),x, algorithm=""fricas"")","\left[\frac{2 \, {\left({\left(9 \, a x {\rm Li}_2\left(a x\right) + 6 \, a x \log\left(-a x + 1\right) - 4 \, a x - 12\right)} \sqrt{d x} + 6 \, \sqrt{\frac{d}{a}} \log\left(\frac{a d x + 2 \, \sqrt{d x} a \sqrt{\frac{d}{a}} + d}{a x - 1}\right)\right)}}{27 \, a}, \frac{2 \, {\left({\left(9 \, a x {\rm Li}_2\left(a x\right) + 6 \, a x \log\left(-a x + 1\right) - 4 \, a x - 12\right)} \sqrt{d x} - 12 \, \sqrt{-\frac{d}{a}} \arctan\left(\frac{\sqrt{d x} a \sqrt{-\frac{d}{a}}}{d}\right)\right)}}{27 \, a}\right]"," ",0,"[2/27*((9*a*x*dilog(a*x) + 6*a*x*log(-a*x + 1) - 4*a*x - 12)*sqrt(d*x) + 6*sqrt(d/a)*log((a*d*x + 2*sqrt(d*x)*a*sqrt(d/a) + d)/(a*x - 1)))/a, 2/27*((9*a*x*dilog(a*x) + 6*a*x*log(-a*x + 1) - 4*a*x - 12)*sqrt(d*x) - 12*sqrt(-d/a)*arctan(sqrt(d*x)*a*sqrt(-d/a)/d))/a]","A",0
61,1,135,0,0.441752," ","integrate(polylog(2,a*x)/(d*x)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(\sqrt{d x} {\left(a {\rm Li}_2\left(a x\right) + 2 \, a \log\left(-a x + 1\right) - 4 \, a\right)} + 2 \, \sqrt{a d} \log\left(\frac{a d x + 2 \, \sqrt{a d} \sqrt{d x} + d}{a x - 1}\right)\right)}}{a d}, \frac{2 \, {\left(\sqrt{d x} {\left(a {\rm Li}_2\left(a x\right) + 2 \, a \log\left(-a x + 1\right) - 4 \, a\right)} - 4 \, \sqrt{-a d} \arctan\left(\frac{\sqrt{-a d} \sqrt{d x}}{a d x}\right)\right)}}{a d}\right]"," ",0,"[2*(sqrt(d*x)*(a*dilog(a*x) + 2*a*log(-a*x + 1) - 4*a) + 2*sqrt(a*d)*log((a*d*x + 2*sqrt(a*d)*sqrt(d*x) + d)/(a*x - 1)))/(a*d), 2*(sqrt(d*x)*(a*dilog(a*x) + 2*a*log(-a*x + 1) - 4*a) - 4*sqrt(-a*d)*arctan(sqrt(-a*d)*sqrt(d*x)/(a*d*x)))/(a*d)]","A",0
62,1,132,0,0.676919," ","integrate(polylog(2,a*x)/(d*x)^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(2 \, d x \sqrt{\frac{a}{d}} \log\left(\frac{a x + 2 \, \sqrt{d x} \sqrt{\frac{a}{d}} + 1}{a x - 1}\right) - \sqrt{d x} {\left({\rm Li}_2\left(a x\right) - 2 \, \log\left(-a x + 1\right)\right)}\right)}}{d^{2} x}, -\frac{2 \, {\left(4 \, d x \sqrt{-\frac{a}{d}} \arctan\left(\frac{\sqrt{d x} \sqrt{-\frac{a}{d}}}{a x}\right) + \sqrt{d x} {\left({\rm Li}_2\left(a x\right) - 2 \, \log\left(-a x + 1\right)\right)}\right)}}{d^{2} x}\right]"," ",0,"[2*(2*d*x*sqrt(a/d)*log((a*x + 2*sqrt(d*x)*sqrt(a/d) + 1)/(a*x - 1)) - sqrt(d*x)*(dilog(a*x) - 2*log(-a*x + 1)))/(d^2*x), -2*(4*d*x*sqrt(-a/d)*arctan(sqrt(d*x)*sqrt(-a/d)/(a*x)) + sqrt(d*x)*(dilog(a*x) - 2*log(-a*x + 1)))/(d^2*x)]","A",0
63,1,150,0,0.694175," ","integrate(polylog(2,a*x)/(d*x)^(5/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(2 \, a d x^{2} \sqrt{\frac{a}{d}} \log\left(\frac{a x + 2 \, \sqrt{d x} \sqrt{\frac{a}{d}} + 1}{a x - 1}\right) - {\left(4 \, a x + 3 \, {\rm Li}_2\left(a x\right) - 2 \, \log\left(-a x + 1\right)\right)} \sqrt{d x}\right)}}{9 \, d^{3} x^{2}}, -\frac{2 \, {\left(4 \, a d x^{2} \sqrt{-\frac{a}{d}} \arctan\left(\frac{\sqrt{d x} \sqrt{-\frac{a}{d}}}{a x}\right) + {\left(4 \, a x + 3 \, {\rm Li}_2\left(a x\right) - 2 \, \log\left(-a x + 1\right)\right)} \sqrt{d x}\right)}}{9 \, d^{3} x^{2}}\right]"," ",0,"[2/9*(2*a*d*x^2*sqrt(a/d)*log((a*x + 2*sqrt(d*x)*sqrt(a/d) + 1)/(a*x - 1)) - (4*a*x + 3*dilog(a*x) - 2*log(-a*x + 1))*sqrt(d*x))/(d^3*x^2), -2/9*(4*a*d*x^2*sqrt(-a/d)*arctan(sqrt(d*x)*sqrt(-a/d)/(a*x)) + (4*a*x + 3*dilog(a*x) - 2*log(-a*x + 1))*sqrt(d*x))/(d^3*x^2)]","A",0
64,1,170,0,0.613761," ","integrate(polylog(2,a*x)/(d*x)^(7/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(6 \, a^{2} d x^{3} \sqrt{\frac{a}{d}} \log\left(\frac{a x + 2 \, \sqrt{d x} \sqrt{\frac{a}{d}} + 1}{a x - 1}\right) - {\left(12 \, a^{2} x^{2} + 4 \, a x + 15 \, {\rm Li}_2\left(a x\right) - 6 \, \log\left(-a x + 1\right)\right)} \sqrt{d x}\right)}}{75 \, d^{4} x^{3}}, -\frac{2 \, {\left(12 \, a^{2} d x^{3} \sqrt{-\frac{a}{d}} \arctan\left(\frac{\sqrt{d x} \sqrt{-\frac{a}{d}}}{a x}\right) + {\left(12 \, a^{2} x^{2} + 4 \, a x + 15 \, {\rm Li}_2\left(a x\right) - 6 \, \log\left(-a x + 1\right)\right)} \sqrt{d x}\right)}}{75 \, d^{4} x^{3}}\right]"," ",0,"[2/75*(6*a^2*d*x^3*sqrt(a/d)*log((a*x + 2*sqrt(d*x)*sqrt(a/d) + 1)/(a*x - 1)) - (12*a^2*x^2 + 4*a*x + 15*dilog(a*x) - 6*log(-a*x + 1))*sqrt(d*x))/(d^4*x^3), -2/75*(12*a^2*d*x^3*sqrt(-a/d)*arctan(sqrt(d*x)*sqrt(-a/d)/(a*x)) + (12*a^2*x^2 + 4*a*x + 15*dilog(a*x) - 6*log(-a*x + 1))*sqrt(d*x))/(d^4*x^3)]","A",0
65,1,279,0,0.562138," ","integrate((d*x)^(5/2)*polylog(3,a*x),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(5145 \, \sqrt{d x} a^{3} d^{2} x^{3} {\rm polylog}\left(3, a x\right) + 420 \, d^{2} \sqrt{\frac{d}{a}} \log\left(\frac{a d x - 2 \, \sqrt{d x} a \sqrt{\frac{d}{a}} + d}{a x - 1}\right) - 2 \, {\left(735 \, a^{3} d^{2} x^{3} {\rm Li}_2\left(a x\right) + 210 \, a^{3} d^{2} x^{3} \log\left(-a x + 1\right) - 60 \, a^{3} d^{2} x^{3} - 84 \, a^{2} d^{2} x^{2} - 140 \, a d^{2} x - 420 \, d^{2}\right)} \sqrt{d x}\right)}}{36015 \, a^{3}}, \frac{2 \, {\left(5145 \, \sqrt{d x} a^{3} d^{2} x^{3} {\rm polylog}\left(3, a x\right) + 840 \, d^{2} \sqrt{-\frac{d}{a}} \arctan\left(\frac{\sqrt{d x} a \sqrt{-\frac{d}{a}}}{d}\right) - 2 \, {\left(735 \, a^{3} d^{2} x^{3} {\rm Li}_2\left(a x\right) + 210 \, a^{3} d^{2} x^{3} \log\left(-a x + 1\right) - 60 \, a^{3} d^{2} x^{3} - 84 \, a^{2} d^{2} x^{2} - 140 \, a d^{2} x - 420 \, d^{2}\right)} \sqrt{d x}\right)}}{36015 \, a^{3}}\right]"," ",0,"[2/36015*(5145*sqrt(d*x)*a^3*d^2*x^3*polylog(3, a*x) + 420*d^2*sqrt(d/a)*log((a*d*x - 2*sqrt(d*x)*a*sqrt(d/a) + d)/(a*x - 1)) - 2*(735*a^3*d^2*x^3*dilog(a*x) + 210*a^3*d^2*x^3*log(-a*x + 1) - 60*a^3*d^2*x^3 - 84*a^2*d^2*x^2 - 140*a*d^2*x - 420*d^2)*sqrt(d*x))/a^3, 2/36015*(5145*sqrt(d*x)*a^3*d^2*x^3*polylog(3, a*x) + 840*d^2*sqrt(-d/a)*arctan(sqrt(d*x)*a*sqrt(-d/a)/d) - 2*(735*a^3*d^2*x^3*dilog(a*x) + 210*a^3*d^2*x^3*log(-a*x + 1) - 60*a^3*d^2*x^3 - 84*a^2*d^2*x^2 - 140*a*d^2*x - 420*d^2)*sqrt(d*x))/a^3]","C",0
66,1,229,0,0.526792," ","integrate((d*x)^(3/2)*polylog(3,a*x),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(375 \, \sqrt{d x} a^{2} d x^{2} {\rm polylog}\left(3, a x\right) + 60 \, d \sqrt{\frac{d}{a}} \log\left(\frac{a d x - 2 \, \sqrt{d x} a \sqrt{\frac{d}{a}} + d}{a x - 1}\right) - 2 \, {\left(75 \, a^{2} d x^{2} {\rm Li}_2\left(a x\right) + 30 \, a^{2} d x^{2} \log\left(-a x + 1\right) - 12 \, a^{2} d x^{2} - 20 \, a d x - 60 \, d\right)} \sqrt{d x}\right)}}{1875 \, a^{2}}, \frac{2 \, {\left(375 \, \sqrt{d x} a^{2} d x^{2} {\rm polylog}\left(3, a x\right) + 120 \, d \sqrt{-\frac{d}{a}} \arctan\left(\frac{\sqrt{d x} a \sqrt{-\frac{d}{a}}}{d}\right) - 2 \, {\left(75 \, a^{2} d x^{2} {\rm Li}_2\left(a x\right) + 30 \, a^{2} d x^{2} \log\left(-a x + 1\right) - 12 \, a^{2} d x^{2} - 20 \, a d x - 60 \, d\right)} \sqrt{d x}\right)}}{1875 \, a^{2}}\right]"," ",0,"[2/1875*(375*sqrt(d*x)*a^2*d*x^2*polylog(3, a*x) + 60*d*sqrt(d/a)*log((a*d*x - 2*sqrt(d*x)*a*sqrt(d/a) + d)/(a*x - 1)) - 2*(75*a^2*d*x^2*dilog(a*x) + 30*a^2*d*x^2*log(-a*x + 1) - 12*a^2*d*x^2 - 20*a*d*x - 60*d)*sqrt(d*x))/a^2, 2/1875*(375*sqrt(d*x)*a^2*d*x^2*polylog(3, a*x) + 120*d*sqrt(-d/a)*arctan(sqrt(d*x)*a*sqrt(-d/a)/d) - 2*(75*a^2*d*x^2*dilog(a*x) + 30*a^2*d*x^2*log(-a*x + 1) - 12*a^2*d*x^2 - 20*a*d*x - 60*d)*sqrt(d*x))/a^2]","C",0
67,1,173,0,0.707874," ","integrate((d*x)^(1/2)*polylog(3,a*x),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(27 \, \sqrt{d x} a x {\rm polylog}\left(3, a x\right) - 2 \, {\left(9 \, a x {\rm Li}_2\left(a x\right) + 6 \, a x \log\left(-a x + 1\right) - 4 \, a x - 12\right)} \sqrt{d x} + 12 \, \sqrt{\frac{d}{a}} \log\left(\frac{a d x - 2 \, \sqrt{d x} a \sqrt{\frac{d}{a}} + d}{a x - 1}\right)\right)}}{81 \, a}, \frac{2 \, {\left(27 \, \sqrt{d x} a x {\rm polylog}\left(3, a x\right) - 2 \, {\left(9 \, a x {\rm Li}_2\left(a x\right) + 6 \, a x \log\left(-a x + 1\right) - 4 \, a x - 12\right)} \sqrt{d x} + 24 \, \sqrt{-\frac{d}{a}} \arctan\left(\frac{\sqrt{d x} a \sqrt{-\frac{d}{a}}}{d}\right)\right)}}{81 \, a}\right]"," ",0,"[2/81*(27*sqrt(d*x)*a*x*polylog(3, a*x) - 2*(9*a*x*dilog(a*x) + 6*a*x*log(-a*x + 1) - 4*a*x - 12)*sqrt(d*x) + 12*sqrt(d/a)*log((a*d*x - 2*sqrt(d*x)*a*sqrt(d/a) + d)/(a*x - 1)))/a, 2/81*(27*sqrt(d*x)*a*x*polylog(3, a*x) - 2*(9*a*x*dilog(a*x) + 6*a*x*log(-a*x + 1) - 4*a*x - 12)*sqrt(d*x) + 24*sqrt(-d/a)*arctan(sqrt(d*x)*a*sqrt(-d/a)/d))/a]","C",0
68,1,161,0,0.680691," ","integrate(polylog(3,a*x)/(d*x)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(\sqrt{d x} a {\rm polylog}\left(3, a x\right) - 2 \, \sqrt{d x} {\left(a {\rm Li}_2\left(a x\right) + 2 \, a \log\left(-a x + 1\right) - 4 \, a\right)} + 4 \, \sqrt{a d} \log\left(\frac{a d x - 2 \, \sqrt{a d} \sqrt{d x} + d}{a x - 1}\right)\right)}}{a d}, \frac{2 \, {\left(\sqrt{d x} a {\rm polylog}\left(3, a x\right) - 2 \, \sqrt{d x} {\left(a {\rm Li}_2\left(a x\right) + 2 \, a \log\left(-a x + 1\right) - 4 \, a\right)} + 8 \, \sqrt{-a d} \arctan\left(\frac{\sqrt{-a d} \sqrt{d x}}{a d x}\right)\right)}}{a d}\right]"," ",0,"[2*(sqrt(d*x)*a*polylog(3, a*x) - 2*sqrt(d*x)*(a*dilog(a*x) + 2*a*log(-a*x + 1) - 4*a) + 4*sqrt(a*d)*log((a*d*x - 2*sqrt(a*d)*sqrt(d*x) + d)/(a*x - 1)))/(a*d), 2*(sqrt(d*x)*a*polylog(3, a*x) - 2*sqrt(d*x)*(a*dilog(a*x) + 2*a*log(-a*x + 1) - 4*a) + 8*sqrt(-a*d)*arctan(sqrt(-a*d)*sqrt(d*x)/(a*d*x)))/(a*d)]","C",0
69,1,156,0,0.523228," ","integrate(polylog(3,a*x)/(d*x)^(3/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(4 \, d x \sqrt{\frac{a}{d}} \log\left(\frac{a x + 2 \, \sqrt{d x} \sqrt{\frac{a}{d}} + 1}{a x - 1}\right) - 2 \, \sqrt{d x} {\left({\rm Li}_2\left(a x\right) - 2 \, \log\left(-a x + 1\right)\right)} - \sqrt{d x} {\rm polylog}\left(3, a x\right)\right)}}{d^{2} x}, -\frac{2 \, {\left(8 \, d x \sqrt{-\frac{a}{d}} \arctan\left(\frac{\sqrt{d x} \sqrt{-\frac{a}{d}}}{a x}\right) + 2 \, \sqrt{d x} {\left({\rm Li}_2\left(a x\right) - 2 \, \log\left(-a x + 1\right)\right)} + \sqrt{d x} {\rm polylog}\left(3, a x\right)\right)}}{d^{2} x}\right]"," ",0,"[2*(4*d*x*sqrt(a/d)*log((a*x + 2*sqrt(d*x)*sqrt(a/d) + 1)/(a*x - 1)) - 2*sqrt(d*x)*(dilog(a*x) - 2*log(-a*x + 1)) - sqrt(d*x)*polylog(3, a*x))/(d^2*x), -2*(8*d*x*sqrt(-a/d)*arctan(sqrt(d*x)*sqrt(-a/d)/(a*x)) + 2*sqrt(d*x)*(dilog(a*x) - 2*log(-a*x + 1)) + sqrt(d*x)*polylog(3, a*x))/(d^2*x)]","C",0
70,1,175,0,0.537312," ","integrate(polylog(3,a*x)/(d*x)^(5/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(4 \, a d x^{2} \sqrt{\frac{a}{d}} \log\left(\frac{a x + 2 \, \sqrt{d x} \sqrt{\frac{a}{d}} + 1}{a x - 1}\right) - 2 \, {\left(4 \, a x + 3 \, {\rm Li}_2\left(a x\right) - 2 \, \log\left(-a x + 1\right)\right)} \sqrt{d x} - 9 \, \sqrt{d x} {\rm polylog}\left(3, a x\right)\right)}}{27 \, d^{3} x^{2}}, -\frac{2 \, {\left(8 \, a d x^{2} \sqrt{-\frac{a}{d}} \arctan\left(\frac{\sqrt{d x} \sqrt{-\frac{a}{d}}}{a x}\right) + 2 \, {\left(4 \, a x + 3 \, {\rm Li}_2\left(a x\right) - 2 \, \log\left(-a x + 1\right)\right)} \sqrt{d x} + 9 \, \sqrt{d x} {\rm polylog}\left(3, a x\right)\right)}}{27 \, d^{3} x^{2}}\right]"," ",0,"[2/27*(4*a*d*x^2*sqrt(a/d)*log((a*x + 2*sqrt(d*x)*sqrt(a/d) + 1)/(a*x - 1)) - 2*(4*a*x + 3*dilog(a*x) - 2*log(-a*x + 1))*sqrt(d*x) - 9*sqrt(d*x)*polylog(3, a*x))/(d^3*x^2), -2/27*(8*a*d*x^2*sqrt(-a/d)*arctan(sqrt(d*x)*sqrt(-a/d)/(a*x)) + 2*(4*a*x + 3*dilog(a*x) - 2*log(-a*x + 1))*sqrt(d*x) + 9*sqrt(d*x)*polylog(3, a*x))/(d^3*x^2)]","C",0
71,1,195,0,1.038084," ","integrate(polylog(3,a*x)/(d*x)^(7/2),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(12 \, a^{2} d x^{3} \sqrt{\frac{a}{d}} \log\left(\frac{a x + 2 \, \sqrt{d x} \sqrt{\frac{a}{d}} + 1}{a x - 1}\right) - 2 \, {\left(12 \, a^{2} x^{2} + 4 \, a x + 15 \, {\rm Li}_2\left(a x\right) - 6 \, \log\left(-a x + 1\right)\right)} \sqrt{d x} - 75 \, \sqrt{d x} {\rm polylog}\left(3, a x\right)\right)}}{375 \, d^{4} x^{3}}, -\frac{2 \, {\left(24 \, a^{2} d x^{3} \sqrt{-\frac{a}{d}} \arctan\left(\frac{\sqrt{d x} \sqrt{-\frac{a}{d}}}{a x}\right) + 2 \, {\left(12 \, a^{2} x^{2} + 4 \, a x + 15 \, {\rm Li}_2\left(a x\right) - 6 \, \log\left(-a x + 1\right)\right)} \sqrt{d x} + 75 \, \sqrt{d x} {\rm polylog}\left(3, a x\right)\right)}}{375 \, d^{4} x^{3}}\right]"," ",0,"[2/375*(12*a^2*d*x^3*sqrt(a/d)*log((a*x + 2*sqrt(d*x)*sqrt(a/d) + 1)/(a*x - 1)) - 2*(12*a^2*x^2 + 4*a*x + 15*dilog(a*x) - 6*log(-a*x + 1))*sqrt(d*x) - 75*sqrt(d*x)*polylog(3, a*x))/(d^4*x^3), -2/375*(24*a^2*d*x^3*sqrt(-a/d)*arctan(sqrt(d*x)*sqrt(-a/d)/(a*x)) + 2*(12*a^2*x^2 + 4*a*x + 15*dilog(a*x) - 6*log(-a*x + 1))*sqrt(d*x) + 75*sqrt(d*x)*polylog(3, a*x))/(d^4*x^3)]","C",0
72,1,194,0,0.948087," ","integrate((d*x)^(3/2)*polylog(2,a*x^2),x, algorithm=""fricas"")","-\frac{2 \, {\left(80 \, a \left(\frac{d^{6}}{a^{5}}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{d x} a^{4} d \left(\frac{d^{6}}{a^{5}}\right)^{\frac{3}{4}} - \sqrt{d^{3} x + a^{2} \sqrt{\frac{d^{6}}{a^{5}}}} a^{4} \left(\frac{d^{6}}{a^{5}}\right)^{\frac{3}{4}}}{d^{6}}\right) - 20 \, a \left(\frac{d^{6}}{a^{5}}\right)^{\frac{1}{4}} \log\left(8 \, \sqrt{d x} d + 8 \, a \left(\frac{d^{6}}{a^{5}}\right)^{\frac{1}{4}}\right) + 20 \, a \left(\frac{d^{6}}{a^{5}}\right)^{\frac{1}{4}} \log\left(8 \, \sqrt{d x} d - 8 \, a \left(\frac{d^{6}}{a^{5}}\right)^{\frac{1}{4}}\right) - {\left(25 \, a d x^{2} {\rm Li}_2\left(a x^{2}\right) + 20 \, a d x^{2} \log\left(-a x^{2} + 1\right) - 16 \, a d x^{2} - 80 \, d\right)} \sqrt{d x}\right)}}{125 \, a}"," ",0,"-2/125*(80*a*(d^6/a^5)^(1/4)*arctan(-(sqrt(d*x)*a^4*d*(d^6/a^5)^(3/4) - sqrt(d^3*x + a^2*sqrt(d^6/a^5))*a^4*(d^6/a^5)^(3/4))/d^6) - 20*a*(d^6/a^5)^(1/4)*log(8*sqrt(d*x)*d + 8*a*(d^6/a^5)^(1/4)) + 20*a*(d^6/a^5)^(1/4)*log(8*sqrt(d*x)*d - 8*a*(d^6/a^5)^(1/4)) - (25*a*d*x^2*dilog(a*x^2) + 20*a*d*x^2*log(-a*x^2 + 1) - 16*a*d*x^2 - 80*d)*sqrt(d*x))/a","A",0
73,1,172,0,0.744975," ","integrate((d*x)^(1/2)*polylog(2,a*x^2),x, algorithm=""fricas"")","\frac{2}{27} \, \sqrt{d x} {\left(9 \, x {\rm Li}_2\left(a x^{2}\right) + 12 \, x \log\left(-a x^{2} + 1\right) - 16 \, x\right)} + \frac{32}{9} \, \left(\frac{d^{2}}{a^{3}}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{d x} a d \left(\frac{d^{2}}{a^{3}}\right)^{\frac{1}{4}} - \sqrt{d^{3} x + a d^{2} \sqrt{\frac{d^{2}}{a^{3}}}} a \left(\frac{d^{2}}{a^{3}}\right)^{\frac{1}{4}}}{d^{2}}\right) + \frac{8}{9} \, \left(\frac{d^{2}}{a^{3}}\right)^{\frac{1}{4}} \log\left(512 \, a^{2} \left(\frac{d^{2}}{a^{3}}\right)^{\frac{3}{4}} + 512 \, \sqrt{d x} d\right) - \frac{8}{9} \, \left(\frac{d^{2}}{a^{3}}\right)^{\frac{1}{4}} \log\left(-512 \, a^{2} \left(\frac{d^{2}}{a^{3}}\right)^{\frac{3}{4}} + 512 \, \sqrt{d x} d\right)"," ",0,"2/27*sqrt(d*x)*(9*x*dilog(a*x^2) + 12*x*log(-a*x^2 + 1) - 16*x) + 32/9*(d^2/a^3)^(1/4)*arctan(-(sqrt(d*x)*a*d*(d^2/a^3)^(1/4) - sqrt(d^3*x + a*d^2*sqrt(d^2/a^3))*a*(d^2/a^3)^(1/4))/d^2) + 8/9*(d^2/a^3)^(1/4)*log(512*a^2*(d^2/a^3)^(3/4) + 512*sqrt(d*x)*d) - 8/9*(d^2/a^3)^(1/4)*log(-512*a^2*(d^2/a^3)^(3/4) + 512*sqrt(d*x)*d)","A",0
74,1,156,0,0.586858," ","integrate(polylog(2,a*x^2)/(d*x)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(16 \, d \left(\frac{1}{a d^{2}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{d^{2} \sqrt{\frac{1}{a d^{2}}} + d x} a d \left(\frac{1}{a d^{2}}\right)^{\frac{3}{4}} - \sqrt{d x} a d \left(\frac{1}{a d^{2}}\right)^{\frac{3}{4}}\right) - 4 \, d \left(\frac{1}{a d^{2}}\right)^{\frac{1}{4}} \log\left(d \left(\frac{1}{a d^{2}}\right)^{\frac{1}{4}} + \sqrt{d x}\right) + 4 \, d \left(\frac{1}{a d^{2}}\right)^{\frac{1}{4}} \log\left(-d \left(\frac{1}{a d^{2}}\right)^{\frac{1}{4}} + \sqrt{d x}\right) - \sqrt{d x} {\left({\rm Li}_2\left(a x^{2}\right) + 4 \, \log\left(-a x^{2} + 1\right) - 16\right)}\right)}}{d}"," ",0,"-2*(16*d*(1/(a*d^2))^(1/4)*arctan(sqrt(d^2*sqrt(1/(a*d^2)) + d*x)*a*d*(1/(a*d^2))^(3/4) - sqrt(d*x)*a*d*(1/(a*d^2))^(3/4)) - 4*d*(1/(a*d^2))^(1/4)*log(d*(1/(a*d^2))^(1/4) + sqrt(d*x)) + 4*d*(1/(a*d^2))^(1/4)*log(-d*(1/(a*d^2))^(1/4) + sqrt(d*x)) - sqrt(d*x)*(dilog(a*x^2) + 4*log(-a*x^2 + 1) - 16))/d","A",0
75,1,170,0,0.853244," ","integrate(polylog(2,a*x^2)/(d*x)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(16 \, d^{2} x \left(\frac{a}{d^{6}}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{d x} a d \left(\frac{a}{d^{6}}\right)^{\frac{1}{4}} - \sqrt{a d^{4} \sqrt{\frac{a}{d^{6}}} + a^{2} d x} d \left(\frac{a}{d^{6}}\right)^{\frac{1}{4}}}{a}\right) + 4 \, d^{2} x \left(\frac{a}{d^{6}}\right)^{\frac{1}{4}} \log\left(512 \, d^{5} \left(\frac{a}{d^{6}}\right)^{\frac{3}{4}} + 512 \, \sqrt{d x} a\right) - 4 \, d^{2} x \left(\frac{a}{d^{6}}\right)^{\frac{1}{4}} \log\left(-512 \, d^{5} \left(\frac{a}{d^{6}}\right)^{\frac{3}{4}} + 512 \, \sqrt{d x} a\right) - \sqrt{d x} {\left({\rm Li}_2\left(a x^{2}\right) - 4 \, \log\left(-a x^{2} + 1\right)\right)}\right)}}{d^{2} x}"," ",0,"2*(16*d^2*x*(a/d^6)^(1/4)*arctan(-(sqrt(d*x)*a*d*(a/d^6)^(1/4) - sqrt(a*d^4*sqrt(a/d^6) + a^2*d*x)*d*(a/d^6)^(1/4))/a) + 4*d^2*x*(a/d^6)^(1/4)*log(512*d^5*(a/d^6)^(3/4) + 512*sqrt(d*x)*a) - 4*d^2*x*(a/d^6)^(1/4)*log(-512*d^5*(a/d^6)^(3/4) + 512*sqrt(d*x)*a) - sqrt(d*x)*(dilog(a*x^2) - 4*log(-a*x^2 + 1)))/(d^2*x)","B",0
76,1,196,0,0.495467," ","integrate(polylog(2,a*x^2)/(d*x)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(16 \, d^{3} x^{2} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{d x} a d^{7} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{3}{4}} - \sqrt{d^{6} \sqrt{\frac{a^{3}}{d^{10}}} + a^{2} d x} d^{7} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{3}{4}}}{a^{3}}\right) - 4 \, d^{3} x^{2} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{1}{4}} \log\left(8 \, d^{3} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{1}{4}} + 8 \, \sqrt{d x} a\right) + 4 \, d^{3} x^{2} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{1}{4}} \log\left(-8 \, d^{3} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{1}{4}} + 8 \, \sqrt{d x} a\right) + \sqrt{d x} {\left(3 \, {\rm Li}_2\left(a x^{2}\right) - 4 \, \log\left(-a x^{2} + 1\right)\right)}\right)}}{9 \, d^{3} x^{2}}"," ",0,"-2/9*(16*d^3*x^2*(a^3/d^10)^(1/4)*arctan(-(sqrt(d*x)*a*d^7*(a^3/d^10)^(3/4) - sqrt(d^6*sqrt(a^3/d^10) + a^2*d*x)*d^7*(a^3/d^10)^(3/4))/a^3) - 4*d^3*x^2*(a^3/d^10)^(1/4)*log(8*d^3*(a^3/d^10)^(1/4) + 8*sqrt(d*x)*a) + 4*d^3*x^2*(a^3/d^10)^(1/4)*log(-8*d^3*(a^3/d^10)^(1/4) + 8*sqrt(d*x)*a) + sqrt(d*x)*(3*dilog(a*x^2) - 4*log(-a*x^2 + 1)))/(d^3*x^2)","B",0
77,1,212,0,0.737039," ","integrate(polylog(2,a*x^2)/(d*x)^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(16 \, d^{4} x^{3} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{d x} a^{4} d^{3} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{1}{4}} - \sqrt{a^{5} d^{8} \sqrt{\frac{a^{5}}{d^{14}}} + a^{8} d x} d^{3} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{1}{4}}}{a^{5}}\right) + 4 \, d^{4} x^{3} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{1}{4}} \log\left(512 \, d^{11} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{3}{4}} + 512 \, \sqrt{d x} a^{4}\right) - 4 \, d^{4} x^{3} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{1}{4}} \log\left(-512 \, d^{11} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{3}{4}} + 512 \, \sqrt{d x} a^{4}\right) - {\left(16 \, a x^{2} + 5 \, {\rm Li}_2\left(a x^{2}\right) - 4 \, \log\left(-a x^{2} + 1\right)\right)} \sqrt{d x}\right)}}{25 \, d^{4} x^{3}}"," ",0,"2/25*(16*d^4*x^3*(a^5/d^14)^(1/4)*arctan(-(sqrt(d*x)*a^4*d^3*(a^5/d^14)^(1/4) - sqrt(a^5*d^8*sqrt(a^5/d^14) + a^8*d*x)*d^3*(a^5/d^14)^(1/4))/a^5) + 4*d^4*x^3*(a^5/d^14)^(1/4)*log(512*d^11*(a^5/d^14)^(3/4) + 512*sqrt(d*x)*a^4) - 4*d^4*x^3*(a^5/d^14)^(1/4)*log(-512*d^11*(a^5/d^14)^(3/4) + 512*sqrt(d*x)*a^4) - (16*a*x^2 + 5*dilog(a*x^2) - 4*log(-a*x^2 + 1))*sqrt(d*x))/(d^4*x^3)","B",0
78,1,237,0,0.622131," ","integrate((d*x)^(5/2)*polylog(3,a*x^2),x, algorithm=""fricas"")","\frac{2 \, {\left(1029 \, \sqrt{d x} a d^{2} x^{3} {\rm polylog}\left(3, a x^{2}\right) - 1344 \, \left(\frac{d^{10}}{a^{7}}\right)^{\frac{1}{4}} a \arctan\left(-\frac{\left(\frac{d^{10}}{a^{7}}\right)^{\frac{1}{4}} \sqrt{d x} a^{2} d^{7} - \sqrt{d^{15} x + \sqrt{\frac{d^{10}}{a^{7}}} a^{3} d^{10}} \left(\frac{d^{10}}{a^{7}}\right)^{\frac{1}{4}} a^{2}}{d^{10}}\right) - 336 \, \left(\frac{d^{10}}{a^{7}}\right)^{\frac{1}{4}} a \log\left(32768 \, \sqrt{d x} d^{7} + 32768 \, \left(\frac{d^{10}}{a^{7}}\right)^{\frac{3}{4}} a^{5}\right) + 336 \, \left(\frac{d^{10}}{a^{7}}\right)^{\frac{1}{4}} a \log\left(32768 \, \sqrt{d x} d^{7} - 32768 \, \left(\frac{d^{10}}{a^{7}}\right)^{\frac{3}{4}} a^{5}\right) - 4 \, {\left(147 \, a d^{2} x^{3} {\rm Li}_2\left(a x^{2}\right) + 84 \, a d^{2} x^{3} \log\left(-a x^{2} + 1\right) - 48 \, a d^{2} x^{3} - 112 \, d^{2} x\right)} \sqrt{d x}\right)}}{7203 \, a}"," ",0,"2/7203*(1029*sqrt(d*x)*a*d^2*x^3*polylog(3, a*x^2) - 1344*(d^10/a^7)^(1/4)*a*arctan(-((d^10/a^7)^(1/4)*sqrt(d*x)*a^2*d^7 - sqrt(d^15*x + sqrt(d^10/a^7)*a^3*d^10)*(d^10/a^7)^(1/4)*a^2)/d^10) - 336*(d^10/a^7)^(1/4)*a*log(32768*sqrt(d*x)*d^7 + 32768*(d^10/a^7)^(3/4)*a^5) + 336*(d^10/a^7)^(1/4)*a*log(32768*sqrt(d*x)*d^7 - 32768*(d^10/a^7)^(3/4)*a^5) - 4*(147*a*d^2*x^3*dilog(a*x^2) + 84*a*d^2*x^3*log(-a*x^2 + 1) - 48*a*d^2*x^3 - 112*d^2*x)*sqrt(d*x))/a","C",0
79,1,213,0,0.908759," ","integrate((d*x)^(3/2)*polylog(3,a*x^2),x, algorithm=""fricas"")","\frac{2 \, {\left(125 \, \sqrt{d x} a d x^{2} {\rm polylog}\left(3, a x^{2}\right) + 320 \, a \left(\frac{d^{6}}{a^{5}}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{d x} a^{4} d \left(\frac{d^{6}}{a^{5}}\right)^{\frac{3}{4}} - \sqrt{d^{3} x + a^{2} \sqrt{\frac{d^{6}}{a^{5}}}} a^{4} \left(\frac{d^{6}}{a^{5}}\right)^{\frac{3}{4}}}{d^{6}}\right) - 80 \, a \left(\frac{d^{6}}{a^{5}}\right)^{\frac{1}{4}} \log\left(32 \, \sqrt{d x} d + 32 \, a \left(\frac{d^{6}}{a^{5}}\right)^{\frac{1}{4}}\right) + 80 \, a \left(\frac{d^{6}}{a^{5}}\right)^{\frac{1}{4}} \log\left(32 \, \sqrt{d x} d - 32 \, a \left(\frac{d^{6}}{a^{5}}\right)^{\frac{1}{4}}\right) - 4 \, {\left(25 \, a d x^{2} {\rm Li}_2\left(a x^{2}\right) + 20 \, a d x^{2} \log\left(-a x^{2} + 1\right) - 16 \, a d x^{2} - 80 \, d\right)} \sqrt{d x}\right)}}{625 \, a}"," ",0,"2/625*(125*sqrt(d*x)*a*d*x^2*polylog(3, a*x^2) + 320*a*(d^6/a^5)^(1/4)*arctan(-(sqrt(d*x)*a^4*d*(d^6/a^5)^(3/4) - sqrt(d^3*x + a^2*sqrt(d^6/a^5))*a^4*(d^6/a^5)^(3/4))/d^6) - 80*a*(d^6/a^5)^(1/4)*log(32*sqrt(d*x)*d + 32*a*(d^6/a^5)^(1/4)) + 80*a*(d^6/a^5)^(1/4)*log(32*sqrt(d*x)*d - 32*a*(d^6/a^5)^(1/4)) - 4*(25*a*d*x^2*dilog(a*x^2) + 20*a*d*x^2*log(-a*x^2 + 1) - 16*a*d*x^2 - 80*d)*sqrt(d*x))/a","C",0
80,1,187,0,1.506395," ","integrate((d*x)^(1/2)*polylog(3,a*x^2),x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{d x} x {\rm polylog}\left(3, a x^{2}\right) - \frac{8}{81} \, \sqrt{d x} {\left(9 \, x {\rm Li}_2\left(a x^{2}\right) + 12 \, x \log\left(-a x^{2} + 1\right) - 16 \, x\right)} - \frac{128}{27} \, \left(\frac{d^{2}}{a^{3}}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{d x} a d \left(\frac{d^{2}}{a^{3}}\right)^{\frac{1}{4}} - \sqrt{d^{3} x + a d^{2} \sqrt{\frac{d^{2}}{a^{3}}}} a \left(\frac{d^{2}}{a^{3}}\right)^{\frac{1}{4}}}{d^{2}}\right) - \frac{32}{27} \, \left(\frac{d^{2}}{a^{3}}\right)^{\frac{1}{4}} \log\left(32768 \, a^{2} \left(\frac{d^{2}}{a^{3}}\right)^{\frac{3}{4}} + 32768 \, \sqrt{d x} d\right) + \frac{32}{27} \, \left(\frac{d^{2}}{a^{3}}\right)^{\frac{1}{4}} \log\left(-32768 \, a^{2} \left(\frac{d^{2}}{a^{3}}\right)^{\frac{3}{4}} + 32768 \, \sqrt{d x} d\right)"," ",0,"2/3*sqrt(d*x)*x*polylog(3, a*x^2) - 8/81*sqrt(d*x)*(9*x*dilog(a*x^2) + 12*x*log(-a*x^2 + 1) - 16*x) - 128/27*(d^2/a^3)^(1/4)*arctan(-(sqrt(d*x)*a*d*(d^2/a^3)^(1/4) - sqrt(d^3*x + a*d^2*sqrt(d^2/a^3))*a*(d^2/a^3)^(1/4))/d^2) - 32/27*(d^2/a^3)^(1/4)*log(32768*a^2*(d^2/a^3)^(3/4) + 32768*sqrt(d*x)*d) + 32/27*(d^2/a^3)^(1/4)*log(-32768*a^2*(d^2/a^3)^(3/4) + 32768*sqrt(d*x)*d)","C",0
81,1,169,0,0.750468," ","integrate(polylog(3,a*x^2)/(d*x)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(64 \, d \left(\frac{1}{a d^{2}}\right)^{\frac{1}{4}} \arctan\left(\sqrt{d^{2} \sqrt{\frac{1}{a d^{2}}} + d x} a d \left(\frac{1}{a d^{2}}\right)^{\frac{3}{4}} - \sqrt{d x} a d \left(\frac{1}{a d^{2}}\right)^{\frac{3}{4}}\right) - 16 \, d \left(\frac{1}{a d^{2}}\right)^{\frac{1}{4}} \log\left(d \left(\frac{1}{a d^{2}}\right)^{\frac{1}{4}} + \sqrt{d x}\right) + 16 \, d \left(\frac{1}{a d^{2}}\right)^{\frac{1}{4}} \log\left(-d \left(\frac{1}{a d^{2}}\right)^{\frac{1}{4}} + \sqrt{d x}\right) - 4 \, \sqrt{d x} {\left({\rm Li}_2\left(a x^{2}\right) + 4 \, \log\left(-a x^{2} + 1\right) - 16\right)} + \sqrt{d x} {\rm polylog}\left(3, a x^{2}\right)\right)}}{d}"," ",0,"2*(64*d*(1/(a*d^2))^(1/4)*arctan(sqrt(d^2*sqrt(1/(a*d^2)) + d*x)*a*d*(1/(a*d^2))^(3/4) - sqrt(d*x)*a*d*(1/(a*d^2))^(3/4)) - 16*d*(1/(a*d^2))^(1/4)*log(d*(1/(a*d^2))^(1/4) + sqrt(d*x)) + 16*d*(1/(a*d^2))^(1/4)*log(-d*(1/(a*d^2))^(1/4) + sqrt(d*x)) - 4*sqrt(d*x)*(dilog(a*x^2) + 4*log(-a*x^2 + 1) - 16) + sqrt(d*x)*polylog(3, a*x^2))/d","C",0
82,1,184,0,0.482565," ","integrate(polylog(3,a*x^2)/(d*x)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(64 \, d^{2} x \left(\frac{a}{d^{6}}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{d x} a d \left(\frac{a}{d^{6}}\right)^{\frac{1}{4}} - \sqrt{a d^{4} \sqrt{\frac{a}{d^{6}}} + a^{2} d x} d \left(\frac{a}{d^{6}}\right)^{\frac{1}{4}}}{a}\right) + 16 \, d^{2} x \left(\frac{a}{d^{6}}\right)^{\frac{1}{4}} \log\left(32768 \, d^{5} \left(\frac{a}{d^{6}}\right)^{\frac{3}{4}} + 32768 \, \sqrt{d x} a\right) - 16 \, d^{2} x \left(\frac{a}{d^{6}}\right)^{\frac{1}{4}} \log\left(-32768 \, d^{5} \left(\frac{a}{d^{6}}\right)^{\frac{3}{4}} + 32768 \, \sqrt{d x} a\right) - 4 \, \sqrt{d x} {\left({\rm Li}_2\left(a x^{2}\right) - 4 \, \log\left(-a x^{2} + 1\right)\right)} - \sqrt{d x} {\rm polylog}\left(3, a x^{2}\right)\right)}}{d^{2} x}"," ",0,"2*(64*d^2*x*(a/d^6)^(1/4)*arctan(-(sqrt(d*x)*a*d*(a/d^6)^(1/4) - sqrt(a*d^4*sqrt(a/d^6) + a^2*d*x)*d*(a/d^6)^(1/4))/a) + 16*d^2*x*(a/d^6)^(1/4)*log(32768*d^5*(a/d^6)^(3/4) + 32768*sqrt(d*x)*a) - 16*d^2*x*(a/d^6)^(1/4)*log(-32768*d^5*(a/d^6)^(3/4) + 32768*sqrt(d*x)*a) - 4*sqrt(d*x)*(dilog(a*x^2) - 4*log(-a*x^2 + 1)) - sqrt(d*x)*polylog(3, a*x^2))/(d^2*x)","C",0
83,1,211,0,0.609622," ","integrate(polylog(3,a*x^2)/(d*x)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(64 \, d^{3} x^{2} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{d x} a d^{7} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{3}{4}} - \sqrt{d^{6} \sqrt{\frac{a^{3}}{d^{10}}} + a^{2} d x} d^{7} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{3}{4}}}{a^{3}}\right) - 16 \, d^{3} x^{2} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{1}{4}} \log\left(32 \, d^{3} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{1}{4}} + 32 \, \sqrt{d x} a\right) + 16 \, d^{3} x^{2} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{1}{4}} \log\left(-32 \, d^{3} \left(\frac{a^{3}}{d^{10}}\right)^{\frac{1}{4}} + 32 \, \sqrt{d x} a\right) + 4 \, \sqrt{d x} {\left(3 \, {\rm Li}_2\left(a x^{2}\right) - 4 \, \log\left(-a x^{2} + 1\right)\right)} + 9 \, \sqrt{d x} {\rm polylog}\left(3, a x^{2}\right)\right)}}{27 \, d^{3} x^{2}}"," ",0,"-2/27*(64*d^3*x^2*(a^3/d^10)^(1/4)*arctan(-(sqrt(d*x)*a*d^7*(a^3/d^10)^(3/4) - sqrt(d^6*sqrt(a^3/d^10) + a^2*d*x)*d^7*(a^3/d^10)^(3/4))/a^3) - 16*d^3*x^2*(a^3/d^10)^(1/4)*log(32*d^3*(a^3/d^10)^(1/4) + 32*sqrt(d*x)*a) + 16*d^3*x^2*(a^3/d^10)^(1/4)*log(-32*d^3*(a^3/d^10)^(1/4) + 32*sqrt(d*x)*a) + 4*sqrt(d*x)*(3*dilog(a*x^2) - 4*log(-a*x^2 + 1)) + 9*sqrt(d*x)*polylog(3, a*x^2))/(d^3*x^2)","C",0
84,1,226,0,0.960458," ","integrate(polylog(3,a*x^2)/(d*x)^(7/2),x, algorithm=""fricas"")","\frac{2 \, {\left(64 \, d^{4} x^{3} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{d x} a^{4} d^{3} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{1}{4}} - \sqrt{a^{5} d^{8} \sqrt{\frac{a^{5}}{d^{14}}} + a^{8} d x} d^{3} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{1}{4}}}{a^{5}}\right) + 16 \, d^{4} x^{3} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{1}{4}} \log\left(32768 \, d^{11} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{3}{4}} + 32768 \, \sqrt{d x} a^{4}\right) - 16 \, d^{4} x^{3} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{1}{4}} \log\left(-32768 \, d^{11} \left(\frac{a^{5}}{d^{14}}\right)^{\frac{3}{4}} + 32768 \, \sqrt{d x} a^{4}\right) - 4 \, {\left(16 \, a x^{2} + 5 \, {\rm Li}_2\left(a x^{2}\right) - 4 \, \log\left(-a x^{2} + 1\right)\right)} \sqrt{d x} - 25 \, \sqrt{d x} {\rm polylog}\left(3, a x^{2}\right)\right)}}{125 \, d^{4} x^{3}}"," ",0,"2/125*(64*d^4*x^3*(a^5/d^14)^(1/4)*arctan(-(sqrt(d*x)*a^4*d^3*(a^5/d^14)^(1/4) - sqrt(a^5*d^8*sqrt(a^5/d^14) + a^8*d*x)*d^3*(a^5/d^14)^(1/4))/a^5) + 16*d^4*x^3*(a^5/d^14)^(1/4)*log(32768*d^11*(a^5/d^14)^(3/4) + 32768*sqrt(d*x)*a^4) - 16*d^4*x^3*(a^5/d^14)^(1/4)*log(-32768*d^11*(a^5/d^14)^(3/4) + 32768*sqrt(d*x)*a^4) - 4*(16*a*x^2 + 5*dilog(a*x^2) - 4*log(-a*x^2 + 1))*sqrt(d*x) - 25*sqrt(d*x)*polylog(3, a*x^2))/(d^4*x^3)","C",0
85,1,223,0,0.794203," ","integrate(polylog(3,a*x^2)/(d*x)^(9/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(192 \, d^{5} x^{4} \left(\frac{a^{7}}{d^{18}}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{d x} a^{2} d^{13} \left(\frac{a^{7}}{d^{18}}\right)^{\frac{3}{4}} - \sqrt{d^{10} \sqrt{\frac{a^{7}}{d^{18}}} + a^{4} d x} d^{13} \left(\frac{a^{7}}{d^{18}}\right)^{\frac{3}{4}}}{a^{7}}\right) - 48 \, d^{5} x^{4} \left(\frac{a^{7}}{d^{18}}\right)^{\frac{1}{4}} \log\left(32 \, d^{5} \left(\frac{a^{7}}{d^{18}}\right)^{\frac{1}{4}} + 32 \, \sqrt{d x} a^{2}\right) + 48 \, d^{5} x^{4} \left(\frac{a^{7}}{d^{18}}\right)^{\frac{1}{4}} \log\left(-32 \, d^{5} \left(\frac{a^{7}}{d^{18}}\right)^{\frac{1}{4}} + 32 \, \sqrt{d x} a^{2}\right) + 4 \, {\left(16 \, a x^{2} + 21 \, {\rm Li}_2\left(a x^{2}\right) - 12 \, \log\left(-a x^{2} + 1\right)\right)} \sqrt{d x} + 147 \, \sqrt{d x} {\rm polylog}\left(3, a x^{2}\right)\right)}}{1029 \, d^{5} x^{4}}"," ",0,"-2/1029*(192*d^5*x^4*(a^7/d^18)^(1/4)*arctan(-(sqrt(d*x)*a^2*d^13*(a^7/d^18)^(3/4) - sqrt(d^10*sqrt(a^7/d^18) + a^4*d*x)*d^13*(a^7/d^18)^(3/4))/a^7) - 48*d^5*x^4*(a^7/d^18)^(1/4)*log(32*d^5*(a^7/d^18)^(1/4) + 32*sqrt(d*x)*a^2) + 48*d^5*x^4*(a^7/d^18)^(1/4)*log(-32*d^5*(a^7/d^18)^(1/4) + 32*sqrt(d*x)*a^2) + 4*(16*a*x^2 + 21*dilog(a*x^2) - 12*log(-a*x^2 + 1))*sqrt(d*x) + 147*sqrt(d*x)*polylog(3, a*x^2))/(d^5*x^4)","C",0
86,0,0,0,0.522035," ","integrate((d*x)^(3/2)*polylog(2,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d x} d x {\rm Li}_2\left(a x^{q}\right), x\right)"," ",0,"integral(sqrt(d*x)*d*x*dilog(a*x^q), x)","F",0
87,0,0,0,0.689548," ","integrate((d*x)^(1/2)*polylog(2,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d x} {\rm Li}_2\left(a x^{q}\right), x\right)"," ",0,"integral(sqrt(d*x)*dilog(a*x^q), x)","F",0
88,0,0,0,0.887458," ","integrate(polylog(2,a*x^q)/(d*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d x} {\rm Li}_2\left(a x^{q}\right)}{d x}, x\right)"," ",0,"integral(sqrt(d*x)*dilog(a*x^q)/(d*x), x)","F",0
89,0,0,0,0.648362," ","integrate(polylog(2,a*x^q)/(d*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d x} {\rm Li}_2\left(a x^{q}\right)}{d^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(d*x)*dilog(a*x^q)/(d^2*x^2), x)","F",0
90,0,0,0,0.642402," ","integrate(polylog(2,a*x^q)/(d*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d x} {\rm Li}_2\left(a x^{q}\right)}{d^{3} x^{3}}, x\right)"," ",0,"integral(sqrt(d*x)*dilog(a*x^q)/(d^3*x^3), x)","F",0
91,0,0,0,0.812737," ","integrate((d*x)^(3/2)*polylog(3,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d x} d x {\rm polylog}\left(3, a x^{q}\right), x\right)"," ",0,"integral(sqrt(d*x)*d*x*polylog(3, a*x^q), x)","F",0
92,0,0,0,0.513802," ","integrate((d*x)^(1/2)*polylog(3,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{d x} {\rm polylog}\left(3, a x^{q}\right), x\right)"," ",0,"integral(sqrt(d*x)*polylog(3, a*x^q), x)","F",0
93,0,0,0,1.330719," ","integrate(polylog(3,a*x^q)/(d*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d x} {\rm polylog}\left(3, a x^{q}\right)}{d x}, x\right)"," ",0,"integral(sqrt(d*x)*polylog(3, a*x^q)/(d*x), x)","F",0
94,0,0,0,0.875114," ","integrate(polylog(3,a*x^q)/(d*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d x} {\rm polylog}\left(3, a x^{q}\right)}{d^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(d*x)*polylog(3, a*x^q)/(d^2*x^2), x)","F",0
95,0,0,0,0.581107," ","integrate(polylog(3,a*x^q)/(d*x)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{d x} {\rm polylog}\left(3, a x^{q}\right)}{d^{3} x^{3}}, x\right)"," ",0,"integral(sqrt(d*x)*polylog(3, a*x^q)/(d^3*x^3), x)","F",0
96,0,0,0,0.863277," ","integrate(polylog(3/2,a*x),x, algorithm=""fricas"")","{\rm integral}\left({\rm polylog}\left(\frac{3}{2}, a x\right), x\right)"," ",0,"integral(polylog(3/2, a*x), x)","F",0
97,0,0,0,0.478944," ","integrate(polylog(1/2,a*x),x, algorithm=""fricas"")","{\rm integral}\left({\rm polylog}\left(\frac{1}{2}, a x\right), x\right)"," ",0,"integral(polylog(1/2, a*x), x)","F",0
98,0,0,0,0.529250," ","integrate(polylog(-1/2,a*x),x, algorithm=""fricas"")","{\rm integral}\left({\rm polylog}\left(-\frac{1}{2}, a x\right), x\right)"," ",0,"integral(polylog(-1/2, a*x), x)","F",0
99,0,0,0,0.804202," ","integrate(polylog(-3/2,a*x),x, algorithm=""fricas"")","{\rm integral}\left({\rm polylog}\left(-\frac{3}{2}, a x\right), x\right)"," ",0,"integral(polylog(-3/2, a*x), x)","F",0
100,0,0,0,0.416823," ","integrate(polylog(-5/2,a*x),x, algorithm=""fricas"")","{\rm integral}\left({\rm polylog}\left(-\frac{5}{2}, a x\right), x\right)"," ",0,"integral(polylog(-5/2, a*x), x)","F",0
101,0,0,0,0.559953," ","integrate(polylog(-3/2,a*x)+polylog(-1/2,a*x),x, algorithm=""fricas"")","{\rm integral}\left({\rm polylog}\left(-\frac{1}{2}, a x\right) + {\rm polylog}\left(-\frac{3}{2}, a x\right), x\right)"," ",0,"integral(polylog(-1/2, a*x) + polylog(-3/2, a*x), x)","F",0
102,0,0,0,0.635976," ","integrate((d*x)^m*polylog(2,a*x),x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} {\rm Li}_2\left(a x\right), x\right)"," ",0,"integral((d*x)^m*dilog(a*x), x)","F",0
103,0,0,0,0.564544," ","integrate((d*x)^m*polylog(3,a*x),x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} {\rm polylog}\left(3, a x\right), x\right)"," ",0,"integral((d*x)^m*polylog(3, a*x), x)","F",0
104,0,0,0,0.500754," ","integrate((d*x)^m*polylog(4,a*x),x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} {\rm polylog}\left(4, a x\right), x\right)"," ",0,"integral((d*x)^m*polylog(4, a*x), x)","F",0
105,0,0,0,0.488888," ","integrate((d*x)^m*polylog(2,a*x^2),x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} {\rm Li}_2\left(a x^{2}\right), x\right)"," ",0,"integral((d*x)^m*dilog(a*x^2), x)","F",0
106,0,0,0,0.619034," ","integrate((d*x)^m*polylog(3,a*x^2),x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} {\rm polylog}\left(3, a x^{2}\right), x\right)"," ",0,"integral((d*x)^m*polylog(3, a*x^2), x)","F",0
107,0,0,0,0.771266," ","integrate((d*x)^m*polylog(4,a*x^2),x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} {\rm polylog}\left(4, a x^{2}\right), x\right)"," ",0,"integral((d*x)^m*polylog(4, a*x^2), x)","F",0
108,0,0,0,1.745378," ","integrate((d*x)^m*polylog(2,a*x^3),x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} {\rm Li}_2\left(a x^{3}\right), x\right)"," ",0,"integral((d*x)^m*dilog(a*x^3), x)","F",0
109,0,0,0,0.869050," ","integrate((d*x)^m*polylog(3,a*x^3),x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} {\rm polylog}\left(3, a x^{3}\right), x\right)"," ",0,"integral((d*x)^m*polylog(3, a*x^3), x)","F",0
110,0,0,0,1.220568," ","integrate((d*x)^m*polylog(4,a*x^3),x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} {\rm polylog}\left(4, a x^{3}\right), x\right)"," ",0,"integral((d*x)^m*polylog(4, a*x^3), x)","F",0
111,0,0,0,1.975106," ","integrate((d*x)^m*polylog(2,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} {\rm Li}_2\left(a x^{q}\right), x\right)"," ",0,"integral((d*x)^m*dilog(a*x^q), x)","F",0
112,0,0,0,0.979232," ","integrate((d*x)^m*polylog(3,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} {\rm polylog}\left(3, a x^{q}\right), x\right)"," ",0,"integral((d*x)^m*polylog(3, a*x^q), x)","F",0
113,0,0,0,1.268656," ","integrate((d*x)^m*polylog(4,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} {\rm polylog}\left(4, a x^{q}\right), x\right)"," ",0,"integral((d*x)^m*polylog(4, a*x^q), x)","F",0
114,0,0,0,0.781366," ","integrate(x*polylog(n,a*x),x, algorithm=""fricas"")","{\rm integral}\left(x {\rm polylog}\left(n, a x\right), x\right)"," ",0,"integral(x*polylog(n, a*x), x)","F",0
115,0,0,0,1.065392," ","integrate(polylog(n,a*x),x, algorithm=""fricas"")","{\rm integral}\left({\rm polylog}\left(n, a x\right), x\right)"," ",0,"integral(polylog(n, a*x), x)","F",0
116,0,0,0,0.464664," ","integrate(polylog(n,a*x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(n, a x\right)}{x}, x\right)"," ",0,"integral(polylog(n, a*x)/x, x)","F",0
117,0,0,0,0.744613," ","integrate(polylog(n,a*x)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(n, a x\right)}{x^{2}}, x\right)"," ",0,"integral(polylog(n, a*x)/x^2, x)","F",0
118,0,0,0,0.587539," ","integrate(polylog(n,a*x)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(n, a x\right)}{x^{3}}, x\right)"," ",0,"integral(polylog(n, a*x)/x^3, x)","F",0
119,0,0,0,1.946259," ","integrate(x*polylog(n,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left(x {\rm polylog}\left(n, a x^{q}\right), x\right)"," ",0,"integral(x*polylog(n, a*x^q), x)","F",0
120,0,0,0,1.057688," ","integrate(polylog(n,a*x^q),x, algorithm=""fricas"")","{\rm integral}\left({\rm polylog}\left(n, a x^{q}\right), x\right)"," ",0,"integral(polylog(n, a*x^q), x)","F",0
121,0,0,0,1.029357," ","integrate(polylog(n,a*x^q)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(n, a x^{q}\right)}{x}, x\right)"," ",0,"integral(polylog(n, a*x^q)/x, x)","F",0
122,0,0,0,0.824713," ","integrate(polylog(n,a*x^q)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(n, a x^{q}\right)}{x^{2}}, x\right)"," ",0,"integral(polylog(n, a*x^q)/x^2, x)","F",0
123,0,0,0,1.459016," ","integrate(polylog(n,a*x^q)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(n, a x^{q}\right)}{x^{3}}, x\right)"," ",0,"integral(polylog(n, a*x^q)/x^3, x)","F",0
124,1,165,0,0.789279," ","integrate(x^2*polylog(2,c*(b*x+a)),x, algorithm=""fricas"")","-\frac{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 - 36 \, {\left(b^{3} c^{3} x^{3} + a^{3} c^{3}\right)} {\rm Li}_2\left(b c x + a c\right) - 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,"-1/108*(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 - 36*(b^3*c^3*x^3 + a^3*c^3)*dilog(b*c*x + a*c) - 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
125,1,110,0,1.362263," ","integrate(x*polylog(2,c*(b*x+a)),x, algorithm=""fricas"")","-\frac{b^{2} c^{2} x^{2} - 2 \, {\left(3 \, a b c^{2} - b c\right)} x - 4 \, {\left(b^{2} c^{2} x^{2} - a^{2} c^{2}\right)} {\rm Li}_2\left(b c x + a c\right) - 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,"-1/8*(b^2*c^2*x^2 - 2*(3*a*b*c^2 - b*c)*x - 4*(b^2*c^2*x^2 - a^2*c^2)*dilog(b*c*x + a*c) - 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
126,1,55,0,0.759086," ","integrate(polylog(2,c*(b*x+a)),x, algorithm=""fricas"")","-\frac{b c x - {\left(b c x + a c\right)} {\rm Li}_2\left(b c x + a c\right) - {\left(b c x + a c - 1\right)} \log\left(-b c x - a c + 1\right)}{b c}"," ",0,"-(b*c*x - (b*c*x + a*c)*dilog(b*c*x + a*c) - (b*c*x + a*c - 1)*log(-b*c*x - a*c + 1))/(b*c)","A",0
127,0,0,0,0.450605," ","integrate(polylog(2,c*(b*x+a))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(b c x + a c\right)}{x}, x\right)"," ",0,"integral(dilog(b*c*x + a*c)/x, x)","F",0
128,0,0,0,0.900363," ","integrate(polylog(2,c*(b*x+a))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(b c x + a c\right)}{x^{2}}, x\right)"," ",0,"integral(dilog(b*c*x + a*c)/x^2, x)","F",0
129,0,0,0,1.278012," ","integrate(polylog(2,c*(b*x+a))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(b c x + a c\right)}{x^{3}}, x\right)"," ",0,"integral(dilog(b*c*x + a*c)/x^3, x)","F",0
130,0,0,0,0.814600," ","integrate(polylog(2,c*(b*x+a))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(b c x + a c\right)}{x^{4}}, x\right)"," ",0,"integral(dilog(b*c*x + a*c)/x^4, x)","F",0
131,1,219,0,0.793071," ","integrate(x^2*polylog(3,c*(b*x+a)),x, algorithm=""fricas"")","\frac{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 + 11 \, a^{3} c^{3}\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) + 216 \, {\left(b^{3} c^{3} x^{3} + a^{3} c^{3}\right)} {\rm polylog}\left(3, b c x + a c\right)}{648 \, b^{3} c^{3}}"," ",0,"1/648*(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 + 11*a^3*c^3)*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) + 216*(b^3*c^3*x^3 + a^3*c^3)*polylog(3, b*c*x + a*c))/(b^3*c^3)","C",0
132,1,149,0,1.948635," ","integrate(x*polylog(3,c*(b*x+a)),x, algorithm=""fricas"")","\frac{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 - 3 \, a^{2} c^{2}\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) + 8 \, {\left(b^{2} c^{2} x^{2} - a^{2} c^{2}\right)} {\rm polylog}\left(3, b c x + a c\right)}{16 \, b^{2} c^{2}}"," ",0,"1/16*(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 - 3*a^2*c^2)*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) + 8*(b^2*c^2*x^2 - a^2*c^2)*polylog(3, b*c*x + a*c))/(b^2*c^2)","C",0
133,1,73,0,0.976079," ","integrate(polylog(3,c*(b*x+a)),x, algorithm=""fricas"")","\frac{b c x - {\left(b c x + a c\right)} {\rm Li}_2\left(b c x + a c\right) - {\left(b c x + a c - 1\right)} \log\left(-b c x - a c + 1\right) + {\left(b c x + a c\right)} {\rm polylog}\left(3, b c x + a c\right)}{b c}"," ",0,"(b*c*x - (b*c*x + a*c)*dilog(b*c*x + a*c) - (b*c*x + a*c - 1)*log(-b*c*x - a*c + 1) + (b*c*x + a*c)*polylog(3, b*c*x + a*c))/(b*c)","C",0
134,0,0,0,1.217023," ","integrate(polylog(3,c*(b*x+a))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(3, b c x + a c\right)}{x}, x\right)"," ",0,"integral(polylog(3, b*c*x + a*c)/x, x)","F",0
135,0,0,0,0.952064," ","integrate(polylog(3,c*(b*x+a))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(3, b c x + a c\right)}{x^{2}}, x\right)"," ",0,"integral(polylog(3, b*c*x + a*c)/x^2, x)","F",0
136,0,0,0,1.254050," ","integrate(polylog(3,c*(b*x+a))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(3, b c x + a c\right)}{x^{3}}, x\right)"," ",0,"integral(polylog(3, b*c*x + a*c)/x^3, x)","F",0
137,1,651,0,0.651871," ","integrate((e*x+d)^3*polylog(2,c*(b*x+a)),x, algorithm=""fricas"")","-\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 + 4 \, a b^{3} c^{4} d^{3} - 6 \, a^{2} b^{2} c^{4} d^{2} e + 4 \, a^{3} b c^{4} d e^{2} - a^{4} c^{4} e^{3}\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,"-1/576*(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 + 4*a*b^3*c^4*d^3 - 6*a^2*b^2*c^4*d^2*e + 4*a^3*b*c^4*d*e^2 - a^4*c^4*e^3)*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
138,1,373,0,1.074411," ","integrate((e*x+d)^2*polylog(2,c*(b*x+a)),x, algorithm=""fricas"")","-\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 + 3 \, a b^{2} c^{3} d^{2} - 3 \, a^{2} b c^{3} d e + a^{3} c^{3} e^{2}\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,"-1/108*(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 + 3*a*b^2*c^3*d^2 - 3*a^2*b*c^3*d*e + a^3*c^3*e^2)*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
139,1,176,0,0.631459," ","integrate((e*x+d)*polylog(2,c*(b*x+a)),x, algorithm=""fricas"")","-\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 + 2 \, a b c^{2} d - a^{2} c^{2} e\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,"-1/8*(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 + 2*a*b*c^2*d - a^2*c^2*e)*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
140,1,55,0,3.953404," ","integrate(polylog(2,c*(b*x+a)),x, algorithm=""fricas"")","-\frac{b c x - {\left(b c x + a c\right)} {\rm Li}_2\left(b c x + a c\right) - {\left(b c x + a c - 1\right)} \log\left(-b c x - a c + 1\right)}{b c}"," ",0,"-(b*c*x - (b*c*x + a*c)*dilog(b*c*x + a*c) - (b*c*x + a*c - 1)*log(-b*c*x - a*c + 1))/(b*c)","A",0
141,0,0,0,0.589530," ","integrate(polylog(2,c*(b*x+a))/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(b c x + a c\right)}{e x + d}, x\right)"," ",0,"integral(dilog(b*c*x + a*c)/(e*x + d), x)","F",0
142,0,0,0,1.917855," ","integrate(polylog(2,c*(b*x+a))/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(b c x + a c\right)}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral(dilog(b*c*x + a*c)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
143,0,0,0,1.219795," ","integrate(polylog(2,c*(b*x+a))/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(b c x + a c\right)}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral(dilog(b*c*x + a*c)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
144,0,0,0,0.670753," ","integrate(polylog(2,c*(b*x+a))/(e*x+d)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(b c x + a c\right)}{e^{4} x^{4} + 4 \, d e^{3} x^{3} + 6 \, d^{2} e^{2} x^{2} + 4 \, d^{3} e x + d^{4}}, x\right)"," ",0,"integral(dilog(b*c*x + a*c)/(e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x + d^4), x)","F",0
145,0,0,0,0.783213," ","integrate(polylog(2,x)/(-1+x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(x\right)}{x - 1}, x\right)"," ",0,"integral(dilog(x)/(x - 1), x)","F",0
146,0,0,0,0.527186," ","integrate(-polylog(2,x)/(1-x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(x\right)}{x - 1}, x\right)"," ",0,"integral(dilog(x)/(x - 1), x)","F",0
147,0,0,0,0.643744," ","integrate(polylog(2,x)/(-1+x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(x\right)}{x^{2} - x}, x\right)"," ",0,"integral(dilog(x)/(x^2 - x), x)","F",0
148,0,0,0,2.347554," ","integrate(-polylog(2,x)/(1-x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(x\right)}{x^{2} - x}, x\right)"," ",0,"integral(dilog(x)/(x^2 - x), x)","F",0
149,0,0,0,0.644541," ","integrate(polylog(n,e*((b*x+a)/(d*x+c))^n)/(b*x+a)/(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(n, e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}{b d x^{2} + a c + {\left(b c + a d\right)} x}, x\right)"," ",0,"integral(polylog(n, e*((b*x + a)/(d*x + c))^n)/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
150,1,33,0,0.809300," ","integrate(polylog(3,e*((b*x+a)/(d*x+c))^n)/(b*x+a)/(d*x+c),x, algorithm=""fricas"")","\frac{{\rm polylog}\left(4, e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}{{\left(b c - a d\right)} n}"," ",0,"polylog(4, e*((b*x + a)/(d*x + c))^n)/((b*c - a*d)*n)","A",0
151,1,33,0,0.928317," ","integrate(polylog(2,e*((b*x+a)/(d*x+c))^n)/(b*x+a)/(d*x+c),x, algorithm=""fricas"")","\frac{{\rm polylog}\left(3, e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}{{\left(b c - a d\right)} n}"," ",0,"polylog(3, e*((b*x + a)/(d*x + c))^n)/((b*c - a*d)*n)","A",0
152,1,32,0,1.912500," ","integrate(-log(1-e*((b*x+a)/(d*x+c))^n)/(b*x+a)/(d*x+c),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}{{\left(b c - a d\right)} n}"," ",0,"dilog(e*((b*x + a)/(d*x + c))^n)/((b*c - a*d)*n)","A",0
153,1,35,0,1.603654," ","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=""fricas"")","-\frac{\log\left(e \left(\frac{b x + a}{d x + c}\right)^{n} - 1\right)}{{\left(b c - a d\right)} n}"," ",0,"-log(e*((b*x + a)/(d*x + c))^n - 1)/((b*c - a*d)*n)","A",0
154,1,42,0,1.534616," ","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=""fricas"")","-\frac{1}{{\left(b c - a d\right)} e n \left(\frac{b x + a}{d x + c}\right)^{n} - {\left(b c - a d\right)} n}"," ",0,"-1/((b*c - a*d)*e*n*((b*x + a)/(d*x + c))^n - (b*c - a*d)*n)","A",0
155,1,87,0,2.095499," ","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=""fricas"")","\frac{e \left(\frac{b x + a}{d x + c}\right)^{n}}{{\left(b c - a d\right)} e^{2} n \left(\frac{b x + a}{d x + c}\right)^{2 \, n} - 2 \, {\left(b c - a d\right)} e n \left(\frac{b x + a}{d x + c}\right)^{n} + {\left(b c - a d\right)} n}"," ",0,"e*((b*x + a)/(d*x + c))^n/((b*c - a*d)*e^2*n*((b*x + a)/(d*x + c))^(2*n) - 2*(b*c - a*d)*e*n*((b*x + a)/(d*x + c))^n + (b*c - a*d)*n)","A",0
156,0,0,0,1.218208," ","integrate(x^3*polylog(n,d*(F^(c*(b*x+a)))^p),x, algorithm=""fricas"")","{\rm integral}\left(x^{3} {\rm polylog}\left(n, {\left(F^{b c x + a c}\right)}^{p} d\right), x\right)"," ",0,"integral(x^3*polylog(n, (F^(b*c*x + a*c))^p*d), x)","F",0
157,0,0,0,1.293137," ","integrate(x^2*polylog(n,d*(F^(c*(b*x+a)))^p),x, algorithm=""fricas"")","{\rm integral}\left(x^{2} {\rm polylog}\left(n, {\left(F^{b c x + a c}\right)}^{p} d\right), x\right)"," ",0,"integral(x^2*polylog(n, (F^(b*c*x + a*c))^p*d), x)","F",0
158,0,0,0,3.476002," ","integrate(x*polylog(n,d*(F^(c*(b*x+a)))^p),x, algorithm=""fricas"")","{\rm integral}\left(x {\rm polylog}\left(n, {\left(F^{b c x + a c}\right)}^{p} d\right), x\right)"," ",0,"integral(x*polylog(n, (F^(b*c*x + a*c))^p*d), x)","F",0
159,0,0,0,0.948275," ","integrate(polylog(n,d*(F^(c*(b*x+a)))^p),x, algorithm=""fricas"")","{\rm integral}\left({\rm polylog}\left(n, {\left(F^{b c x + a c}\right)}^{p} d\right), x\right)"," ",0,"integral(polylog(n, (F^(b*c*x + a*c))^p*d), x)","F",0
160,0,0,0,0.927922," ","integrate(polylog(n,d*(F^(c*(b*x+a)))^p)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm polylog}\left(n, {\left(F^{b c x + a c}\right)}^{p} d\right)}{x}, x\right)"," ",0,"integral(polylog(n, (F^(b*c*x + a*c))^p*d)/x, x)","F",0
161,0,0,0,2.259440," ","integrate(x^3*log(-c*x+1)*polylog(2,c*x),x, algorithm=""fricas"")","{\rm integral}\left(x^{3} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right), x\right)"," ",0,"integral(x^3*dilog(c*x)*log(-c*x + 1), x)","F",0
162,0,0,0,1.711078," ","integrate(x^2*log(-c*x+1)*polylog(2,c*x),x, algorithm=""fricas"")","{\rm integral}\left(x^{2} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right), x\right)"," ",0,"integral(x^2*dilog(c*x)*log(-c*x + 1), x)","F",0
163,0,0,0,0.619507," ","integrate(x*log(-c*x+1)*polylog(2,c*x),x, algorithm=""fricas"")","{\rm integral}\left(x {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right), x\right)"," ",0,"integral(x*dilog(c*x)*log(-c*x + 1), x)","F",0
164,0,0,0,0.819416," ","integrate(log(-c*x+1)*polylog(2,c*x),x, algorithm=""fricas"")","{\rm integral}\left({\rm Li}_2\left(c x\right) \log\left(-c x + 1\right), x\right)"," ",0,"integral(dilog(c*x)*log(-c*x + 1), x)","F",0
165,1,8,0,1.042298," ","integrate(log(-c*x+1)*polylog(2,c*x)/x,x, algorithm=""fricas"")","-\frac{1}{2} \, {\rm Li}_2\left(c x\right)^{2}"," ",0,"-1/2*dilog(c*x)^2","A",0
166,0,0,0,1.134295," ","integrate(log(-c*x+1)*polylog(2,c*x)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x^{2}}, x\right)"," ",0,"integral(dilog(c*x)*log(-c*x + 1)/x^2, x)","F",0
167,0,0,0,1.870010," ","integrate(log(-c*x+1)*polylog(2,c*x)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x^{3}}, x\right)"," ",0,"integral(dilog(c*x)*log(-c*x + 1)/x^3, x)","F",0
168,0,0,0,1.317384," ","integrate(log(-c*x+1)*polylog(2,c*x)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x^{4}}, x\right)"," ",0,"integral(dilog(c*x)*log(-c*x + 1)/x^4, x)","F",0
169,0,0,0,1.007045," ","integrate(log(-c*x+1)*polylog(2,c*x)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x^{5}}, x\right)"," ",0,"integral(dilog(c*x)*log(-c*x + 1)/x^5, x)","F",0
170,0,0,0,0.967943," ","integrate(x^2*(g+h*log(-c*x+1))*polylog(2,c*x),x, algorithm=""fricas"")","{\rm integral}\left(h x^{2} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right) + g x^{2} {\rm Li}_2\left(c x\right), x\right)"," ",0,"integral(h*x^2*dilog(c*x)*log(-c*x + 1) + g*x^2*dilog(c*x), x)","F",0
171,0,0,0,2.039875," ","integrate(x*(g+h*log(-c*x+1))*polylog(2,c*x),x, algorithm=""fricas"")","{\rm integral}\left(h x {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right) + g x {\rm Li}_2\left(c x\right), x\right)"," ",0,"integral(h*x*dilog(c*x)*log(-c*x + 1) + g*x*dilog(c*x), x)","F",0
172,0,0,0,1.310040," ","integrate((g+h*log(-c*x+1))*polylog(2,c*x),x, algorithm=""fricas"")","{\rm integral}\left(h {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right) + g {\rm Li}_2\left(c x\right), x\right)"," ",0,"integral(h*dilog(c*x)*log(-c*x + 1) + g*dilog(c*x), x)","F",0
173,0,0,0,1.064004," ","integrate((g+h*log(-c*x+1))*polylog(2,c*x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{h {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right) + g {\rm Li}_2\left(c x\right)}{x}, x\right)"," ",0,"integral((h*dilog(c*x)*log(-c*x + 1) + g*dilog(c*x))/x, x)","F",0
174,0,0,0,0.543895," ","integrate((g+h*log(-c*x+1))*polylog(2,c*x)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{h {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right) + g {\rm Li}_2\left(c x\right)}{x^{2}}, x\right)"," ",0,"integral((h*dilog(c*x)*log(-c*x + 1) + g*dilog(c*x))/x^2, x)","F",0
175,0,0,0,0.909119," ","integrate((g+h*log(-c*x+1))*polylog(2,c*x)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{h {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right) + g {\rm Li}_2\left(c x\right)}{x^{3}}, x\right)"," ",0,"integral((h*dilog(c*x)*log(-c*x + 1) + g*dilog(c*x))/x^3, x)","F",0
176,0,0,0,0.723569," ","integrate((g+h*log(-c*x+1))*polylog(2,c*x)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{h {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right) + g {\rm Li}_2\left(c x\right)}{x^{4}}, x\right)"," ",0,"integral((h*dilog(c*x)*log(-c*x + 1) + g*dilog(c*x))/x^4, x)","F",0
177,0,0,0,0.804691," ","integrate(x^2*(g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a)),x, algorithm=""fricas"")","{\rm integral}\left(h x^{2} {\rm Li}_2\left(b c x + a c\right) \log\left({\left(e x + d\right)}^{n} f\right) + g x^{2} {\rm Li}_2\left(b c x + a c\right), x\right)"," ",0,"integral(h*x^2*dilog(b*c*x + a*c)*log((e*x + d)^n*f) + g*x^2*dilog(b*c*x + a*c), x)","F",0
178,0,0,0,2.035859," ","integrate(x*(g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a)),x, algorithm=""fricas"")","{\rm integral}\left(h x {\rm Li}_2\left(b c x + a c\right) \log\left({\left(e x + d\right)}^{n} f\right) + g x {\rm Li}_2\left(b c x + a c\right), x\right)"," ",0,"integral(h*x*dilog(b*c*x + a*c)*log((e*x + d)^n*f) + g*x*dilog(b*c*x + a*c), x)","F",0
179,0,0,0,0.778666," ","integrate((g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a)),x, algorithm=""fricas"")","{\rm integral}\left(h {\rm Li}_2\left(b c x + a c\right) \log\left({\left(e x + d\right)}^{n} f\right) + g {\rm Li}_2\left(b c x + a c\right), x\right)"," ",0,"integral(h*dilog(b*c*x + a*c)*log((e*x + d)^n*f) + g*dilog(b*c*x + a*c), x)","F",0
180,0,0,0,1.372352," ","integrate((g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{h {\rm Li}_2\left(b c x + a c\right) \log\left({\left(e x + d\right)}^{n} f\right) + g {\rm Li}_2\left(b c x + a c\right)}{x}, x\right)"," ",0,"integral((h*dilog(b*c*x + a*c)*log((e*x + d)^n*f) + g*dilog(b*c*x + a*c))/x, x)","F",0
181,0,0,0,0.721153," ","integrate((g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{h {\rm Li}_2\left(b c x + a c\right) \log\left({\left(e x + d\right)}^{n} f\right) + g {\rm Li}_2\left(b c x + a c\right)}{x^{2}}, x\right)"," ",0,"integral((h*dilog(b*c*x + a*c)*log((e*x + d)^n*f) + g*dilog(b*c*x + a*c))/x^2, x)","F",0
182,0,0,0,0.792609," ","integrate((g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{h {\rm Li}_2\left(b c x + a c\right) \log\left({\left(e x + d\right)}^{n} f\right) + g {\rm Li}_2\left(b c x + a c\right)}{x^{3}}, x\right)"," ",0,"integral((h*dilog(b*c*x + a*c)*log((e*x + d)^n*f) + g*dilog(b*c*x + a*c))/x^3, x)","F",0
183,0,0,0,1.473363," ","integrate((g+h*log(f*(e*x+d)^n))*polylog(2,c*(b*x+a))/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{h {\rm Li}_2\left(b c x + a c\right) \log\left({\left(e x + d\right)}^{n} f\right) + g {\rm Li}_2\left(b c x + a c\right)}{x^{4}}, x\right)"," ",0,"integral((h*dilog(b*c*x + a*c)*log((e*x + d)^n*f) + g*dilog(b*c*x + a*c))/x^4, x)","F",0
184,0,0,0,1.028649," ","integrate(x^2*(b*x+a)*log(-c*x+1)*polylog(2,c*x),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{3} + a x^{2}\right)} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right), x\right)"," ",0,"integral((b*x^3 + a*x^2)*dilog(c*x)*log(-c*x + 1), x)","F",0
185,0,0,0,1.059665," ","integrate(x*(b*x+a)*log(-c*x+1)*polylog(2,c*x),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{2} + a x\right)} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right), x\right)"," ",0,"integral((b*x^2 + a*x)*dilog(c*x)*log(-c*x + 1), x)","F",0
186,0,0,0,0.889915," ","integrate((b*x+a)*log(-c*x+1)*polylog(2,c*x),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right), x\right)"," ",0,"integral((b*x + a)*dilog(c*x)*log(-c*x + 1), x)","F",0
187,0,0,0,0.766971," ","integrate((b*x+a)*log(-c*x+1)*polylog(2,c*x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x}, x\right)"," ",0,"integral((b*x + a)*dilog(c*x)*log(-c*x + 1)/x, x)","F",0
188,0,0,0,2.956466," ","integrate((b*x+a)*log(-c*x+1)*polylog(2,c*x)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x^{2}}, x\right)"," ",0,"integral((b*x + a)*dilog(c*x)*log(-c*x + 1)/x^2, x)","F",0
189,0,0,0,0.461283," ","integrate((b*x+a)*log(-c*x+1)*polylog(2,c*x)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x^{3}}, x\right)"," ",0,"integral((b*x + a)*dilog(c*x)*log(-c*x + 1)/x^3, x)","F",0
190,0,0,0,0.734239," ","integrate((b*x+a)*log(-c*x+1)*polylog(2,c*x)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x^{4}}, x\right)"," ",0,"integral((b*x + a)*dilog(c*x)*log(-c*x + 1)/x^4, x)","F",0
191,0,0,0,2.501991," ","integrate((b*x+a)*log(-c*x+1)*polylog(2,c*x)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x + a\right)} {\rm Li}_2\left(c x\right) \log\left(-c x + 1\right)}{x^{5}}, x\right)"," ",0,"integral((b*x + a)*dilog(c*x)*log(-c*x + 1)/x^5, x)","F",0
192,0,0,0,0.604422," ","integrate(x*(c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x),x, algorithm=""fricas"")","{\rm integral}\left({\left(c x^{3} + b x^{2} + a x\right)} {\rm Li}_2\left(d x\right) \log\left(-d x + 1\right), x\right)"," ",0,"integral((c*x^3 + b*x^2 + a*x)*dilog(d*x)*log(-d*x + 1), x)","F",0
193,0,0,0,1.999159," ","integrate((c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x),x, algorithm=""fricas"")","{\rm integral}\left({\left(c x^{2} + b x + a\right)} {\rm Li}_2\left(d x\right) \log\left(-d x + 1\right), x\right)"," ",0,"integral((c*x^2 + b*x + a)*dilog(d*x)*log(-d*x + 1), x)","F",0
194,0,0,0,1.041658," ","integrate((c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c x^{2} + b x + a\right)} {\rm Li}_2\left(d x\right) \log\left(-d x + 1\right)}{x}, x\right)"," ",0,"integral((c*x^2 + b*x + a)*dilog(d*x)*log(-d*x + 1)/x, x)","F",0
195,0,0,0,1.718118," ","integrate((c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c x^{2} + b x + a\right)} {\rm Li}_2\left(d x\right) \log\left(-d x + 1\right)}{x^{2}}, x\right)"," ",0,"integral((c*x^2 + b*x + a)*dilog(d*x)*log(-d*x + 1)/x^2, x)","F",0
196,0,0,0,3.316934," ","integrate((c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c x^{2} + b x + a\right)} {\rm Li}_2\left(d x\right) \log\left(-d x + 1\right)}{x^{3}}, x\right)"," ",0,"integral((c*x^2 + b*x + a)*dilog(d*x)*log(-d*x + 1)/x^3, x)","F",0
197,0,0,0,1.948327," ","integrate((c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c x^{2} + b x + a\right)} {\rm Li}_2\left(d x\right) \log\left(-d x + 1\right)}{x^{4}}, x\right)"," ",0,"integral((c*x^2 + b*x + a)*dilog(d*x)*log(-d*x + 1)/x^4, x)","F",0
198,0,0,0,2.992867," ","integrate((c*x^2+b*x+a)*log(-d*x+1)*polylog(2,d*x)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c x^{2} + b x + a\right)} {\rm Li}_2\left(d x\right) \log\left(-d x + 1\right)}{x^{5}}, x\right)"," ",0,"integral((c*x^2 + b*x + a)*dilog(d*x)*log(-d*x + 1)/x^5, x)","F",0
