1,1,15,0,0.301850," ","integrate(x^3*log(c*x),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \log\left(c x\right) - \frac{1}{16} \, x^{4}"," ",0,"1/4*x^4*log(c*x) - 1/16*x^4","A",0
2,1,15,0,0.263665," ","integrate(x^2*log(c*x),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \log\left(c x\right) - \frac{1}{9} \, x^{3}"," ",0,"1/3*x^3*log(c*x) - 1/9*x^3","A",0
3,1,15,0,0.216392," ","integrate(x*log(c*x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(c x\right) - \frac{1}{4} \, x^{2}"," ",0,"1/2*x^2*log(c*x) - 1/4*x^2","A",0
4,1,16,0,0.232857," ","integrate(log(c*x),x, algorithm=""giac"")","\frac{c x \log\left(c x\right) - c x}{c}"," ",0,"(c*x*log(c*x) - c*x)/c","A",0
5,1,8,0,0.198251," ","integrate(log(c*x)/x,x, algorithm=""giac"")","\frac{1}{2} \, \log\left(c x\right)^{2}"," ",0,"1/2*log(c*x)^2","A",0
6,1,15,0,0.209355," ","integrate(log(c*x)/x^2,x, algorithm=""giac"")","-\frac{\log\left(c x\right)}{x} - \frac{1}{x}"," ",0,"-log(c*x)/x - 1/x","A",0
7,1,15,0,0.200959," ","integrate(log(c*x)/x^3,x, algorithm=""giac"")","-\frac{\log\left(c x\right)}{2 \, x^{2}} - \frac{1}{4 \, x^{2}}"," ",0,"-1/2*log(c*x)/x^2 - 1/4/x^2","A",0
8,1,26,0,0.210958," ","integrate(x^3*log(c*x)^2,x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \log\left(c x\right)^{2} - \frac{1}{8} \, x^{4} \log\left(c x\right) + \frac{1}{32} \, x^{4}"," ",0,"1/4*x^4*log(c*x)^2 - 1/8*x^4*log(c*x) + 1/32*x^4","A",0
9,1,26,0,0.198285," ","integrate(x^2*log(c*x)^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \log\left(c x\right)^{2} - \frac{2}{9} \, x^{3} \log\left(c x\right) + \frac{2}{27} \, x^{3}"," ",0,"1/3*x^3*log(c*x)^2 - 2/9*x^3*log(c*x) + 2/27*x^3","A",0
10,1,26,0,0.210984," ","integrate(x*log(c*x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(c x\right)^{2} - \frac{1}{2} \, x^{2} \log\left(c x\right) + \frac{1}{4} \, x^{2}"," ",0,"1/2*x^2*log(c*x)^2 - 1/2*x^2*log(c*x) + 1/4*x^2","A",0
11,1,19,0,0.176618," ","integrate(log(c*x)^2,x, algorithm=""giac"")","x \log\left(c x\right)^{2} - 2 \, x \log\left(c x\right) + 2 \, x"," ",0,"x*log(c*x)^2 - 2*x*log(c*x) + 2*x","A",0
12,1,8,0,0.195515," ","integrate(log(c*x)^2/x,x, algorithm=""giac"")","\frac{1}{3} \, \log\left(c x\right)^{3}"," ",0,"1/3*log(c*x)^3","A",0
13,1,26,0,0.186821," ","integrate(log(c*x)^2/x^2,x, algorithm=""giac"")","-\frac{\log\left(c x\right)^{2}}{x} - \frac{2 \, \log\left(c x\right)}{x} - \frac{2}{x}"," ",0,"-log(c*x)^2/x - 2*log(c*x)/x - 2/x","A",0
14,1,26,0,0.207524," ","integrate(log(c*x)^2/x^3,x, algorithm=""giac"")","-\frac{\log\left(c x\right)^{2}}{2 \, x^{2}} - \frac{\log\left(c x\right)}{2 \, x^{2}} - \frac{1}{4 \, x^{2}}"," ",0,"-1/2*log(c*x)^2/x^2 - 1/2*log(c*x)/x^2 - 1/4/x^2","A",0
15,1,37,0,0.211892," ","integrate(x^3*log(c*x)^3,x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \log\left(c x\right)^{3} - \frac{3}{16} \, x^{4} \log\left(c x\right)^{2} + \frac{3}{32} \, x^{4} \log\left(c x\right) - \frac{3}{128} \, x^{4}"," ",0,"1/4*x^4*log(c*x)^3 - 3/16*x^4*log(c*x)^2 + 3/32*x^4*log(c*x) - 3/128*x^4","A",0
16,1,37,0,0.174387," ","integrate(x^2*log(c*x)^3,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \log\left(c x\right)^{3} - \frac{1}{3} \, x^{3} \log\left(c x\right)^{2} + \frac{2}{9} \, x^{3} \log\left(c x\right) - \frac{2}{27} \, x^{3}"," ",0,"1/3*x^3*log(c*x)^3 - 1/3*x^3*log(c*x)^2 + 2/9*x^3*log(c*x) - 2/27*x^3","A",0
17,1,37,0,0.215546," ","integrate(x*log(c*x)^3,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(c x\right)^{3} - \frac{3}{4} \, x^{2} \log\left(c x\right)^{2} + \frac{3}{4} \, x^{2} \log\left(c x\right) - \frac{3}{8} \, x^{2}"," ",0,"1/2*x^2*log(c*x)^3 - 3/4*x^2*log(c*x)^2 + 3/4*x^2*log(c*x) - 3/8*x^2","A",0
18,1,28,0,0.203262," ","integrate(log(c*x)^3,x, algorithm=""giac"")","x \log\left(c x\right)^{3} - 3 \, x \log\left(c x\right)^{2} + 6 \, x \log\left(c x\right) - 6 \, x"," ",0,"x*log(c*x)^3 - 3*x*log(c*x)^2 + 6*x*log(c*x) - 6*x","A",0
19,1,8,0,0.200078," ","integrate(log(c*x)^3/x,x, algorithm=""giac"")","\frac{1}{4} \, \log\left(c x\right)^{4}"," ",0,"1/4*log(c*x)^4","A",0
20,1,37,0,0.196941," ","integrate(log(c*x)^3/x^2,x, algorithm=""giac"")","-\frac{\log\left(c x\right)^{3}}{x} - \frac{3 \, \log\left(c x\right)^{2}}{x} - \frac{6 \, \log\left(c x\right)}{x} - \frac{6}{x}"," ",0,"-log(c*x)^3/x - 3*log(c*x)^2/x - 6*log(c*x)/x - 6/x","A",0
21,1,37,0,0.216336," ","integrate(log(c*x)^3/x^3,x, algorithm=""giac"")","-\frac{\log\left(c x\right)^{3}}{2 \, x^{2}} - \frac{3 \, \log\left(c x\right)^{2}}{4 \, x^{2}} - \frac{3 \, \log\left(c x\right)}{4 \, x^{2}} - \frac{3}{8 \, x^{2}}"," ",0,"-1/2*log(c*x)^3/x^2 - 3/4*log(c*x)^2/x^2 - 3/4*log(c*x)/x^2 - 3/8/x^2","A",0
22,1,11,0,0.203454," ","integrate(x^3/log(c*x),x, algorithm=""giac"")","\frac{{\rm Ei}\left(4 \, \log\left(c x\right)\right)}{c^{4}}"," ",0,"Ei(4*log(c*x))/c^4","A",0
23,1,11,0,0.243162," ","integrate(x^2/log(c*x),x, algorithm=""giac"")","\frac{{\rm Ei}\left(3 \, \log\left(c x\right)\right)}{c^{3}}"," ",0,"Ei(3*log(c*x))/c^3","A",0
24,1,11,0,0.162082," ","integrate(x/log(c*x),x, algorithm=""giac"")","\frac{{\rm Ei}\left(2 \, \log\left(c x\right)\right)}{c^{2}}"," ",0,"Ei(2*log(c*x))/c^2","A",0
25,1,9,0,0.183896," ","integrate(1/log(c*x),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\log\left(c x\right)\right)}{c}"," ",0,"Ei(log(c*x))/c","A",0
26,1,5,0,0.214096," ","integrate(1/x/log(c*x),x, algorithm=""giac"")","\log\left(\log\left(c x\right)\right)"," ",0,"log(log(c*x))","A",0
27,0,0,0,0.000000," ","integrate(1/x^2/log(c*x),x, algorithm=""giac"")","\int \frac{1}{x^{2} \log\left(c x\right)}\,{d x}"," ",0,"integrate(1/(x^2*log(c*x)), x)","F",0
28,0,0,0,0.000000," ","integrate(1/x^3/log(c*x),x, algorithm=""giac"")","\int \frac{1}{x^{3} \log\left(c x\right)}\,{d x}"," ",0,"integrate(1/(x^3*log(c*x)), x)","F",0
29,1,24,0,0.194288," ","integrate(x^3/log(c*x)^2,x, algorithm=""giac"")","-\frac{x^{4}}{\log\left(c x\right)} + \frac{4 \, {\rm Ei}\left(4 \, \log\left(c x\right)\right)}{c^{4}}"," ",0,"-x^4/log(c*x) + 4*Ei(4*log(c*x))/c^4","A",0
30,1,24,0,0.187765," ","integrate(x^2/log(c*x)^2,x, algorithm=""giac"")","-\frac{x^{3}}{\log\left(c x\right)} + \frac{3 \, {\rm Ei}\left(3 \, \log\left(c x\right)\right)}{c^{3}}"," ",0,"-x^3/log(c*x) + 3*Ei(3*log(c*x))/c^3","A",0
31,1,24,0,0.202857," ","integrate(x/log(c*x)^2,x, algorithm=""giac"")","-\frac{x^{2}}{\log\left(c x\right)} + \frac{2 \, {\rm Ei}\left(2 \, \log\left(c x\right)\right)}{c^{2}}"," ",0,"-x^2/log(c*x) + 2*Ei(2*log(c*x))/c^2","A",0
32,1,19,0,0.203288," ","integrate(1/log(c*x)^2,x, algorithm=""giac"")","\frac{{\rm Ei}\left(\log\left(c x\right)\right)}{c} - \frac{x}{\log\left(c x\right)}"," ",0,"Ei(log(c*x))/c - x/log(c*x)","A",0
33,1,8,0,0.199923," ","integrate(1/x/log(c*x)^2,x, algorithm=""giac"")","-\frac{1}{\log\left(c x\right)}"," ",0,"-1/log(c*x)","A",0
34,0,0,0,0.000000," ","integrate(1/x^2/log(c*x)^2,x, algorithm=""giac"")","\int \frac{1}{x^{2} \log\left(c x\right)^{2}}\,{d x}"," ",0,"integrate(1/(x^2*log(c*x)^2), x)","F",0
35,0,0,0,0.000000," ","integrate(1/x^3/log(c*x)^2,x, algorithm=""giac"")","\int \frac{1}{x^{3} \log\left(c x\right)^{2}}\,{d x}"," ",0,"integrate(1/(x^3*log(c*x)^2), x)","F",0
36,1,35,0,0.232156," ","integrate(x^3/log(c*x)^3,x, algorithm=""giac"")","-\frac{2 \, x^{4}}{\log\left(c x\right)} - \frac{x^{4}}{2 \, \log\left(c x\right)^{2}} + \frac{8 \, {\rm Ei}\left(4 \, \log\left(c x\right)\right)}{c^{4}}"," ",0,"-2*x^4/log(c*x) - 1/2*x^4/log(c*x)^2 + 8*Ei(4*log(c*x))/c^4","A",0
37,1,35,0,0.218665," ","integrate(x^2/log(c*x)^3,x, algorithm=""giac"")","-\frac{3 \, x^{3}}{2 \, \log\left(c x\right)} - \frac{x^{3}}{2 \, \log\left(c x\right)^{2}} + \frac{9 \, {\rm Ei}\left(3 \, \log\left(c x\right)\right)}{2 \, c^{3}}"," ",0,"-3/2*x^3/log(c*x) - 1/2*x^3/log(c*x)^2 + 9/2*Ei(3*log(c*x))/c^3","A",0
38,1,35,0,0.216363," ","integrate(x/log(c*x)^3,x, algorithm=""giac"")","-\frac{x^{2}}{\log\left(c x\right)} - \frac{x^{2}}{2 \, \log\left(c x\right)^{2}} + \frac{2 \, {\rm Ei}\left(2 \, \log\left(c x\right)\right)}{c^{2}}"," ",0,"-x^2/log(c*x) - 1/2*x^2/log(c*x)^2 + 2*Ei(2*log(c*x))/c^2","A",0
39,1,29,0,0.222722," ","integrate(1/log(c*x)^3,x, algorithm=""giac"")","\frac{{\rm Ei}\left(\log\left(c x\right)\right)}{2 \, c} - \frac{x}{2 \, \log\left(c x\right)} - \frac{x}{2 \, \log\left(c x\right)^{2}}"," ",0,"1/2*Ei(log(c*x))/c - 1/2*x/log(c*x) - 1/2*x/log(c*x)^2","A",0
40,1,8,0,0.197843," ","integrate(1/x/log(c*x)^3,x, algorithm=""giac"")","-\frac{1}{2 \, \log\left(c x\right)^{2}}"," ",0,"-1/2/log(c*x)^2","A",0
41,0,0,0,0.000000," ","integrate(1/x^2/log(c*x)^3,x, algorithm=""giac"")","\int \frac{1}{x^{2} \log\left(c x\right)^{3}}\,{d x}"," ",0,"integrate(1/(x^2*log(c*x)^3), x)","F",0
42,0,0,0,0.000000," ","integrate(1/x^3/log(c*x)^3,x, algorithm=""giac"")","\int \frac{1}{x^{3} \log\left(c x\right)^{3}}\,{d x}"," ",0,"integrate(1/(x^3*log(c*x)^3), x)","F",0
43,1,31,0,0.232394," ","integrate(x^3*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{4} \, b n x^{4} \log\left(x\right) - \frac{1}{16} \, b n x^{4} + \frac{1}{4} \, b x^{4} \log\left(c\right) + \frac{1}{4} \, a x^{4}"," ",0,"1/4*b*n*x^4*log(x) - 1/16*b*n*x^4 + 1/4*b*x^4*log(c) + 1/4*a*x^4","A",0
44,1,31,0,0.288042," ","integrate(x^2*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{3} \, b n x^{3} \log\left(x\right) - \frac{1}{9} \, b n x^{3} + \frac{1}{3} \, b x^{3} \log\left(c\right) + \frac{1}{3} \, a x^{3}"," ",0,"1/3*b*n*x^3*log(x) - 1/9*b*n*x^3 + 1/3*b*x^3*log(c) + 1/3*a*x^3","A",0
45,1,31,0,0.251214," ","integrate(x*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{1}{2} \, b n x^{2} \log\left(x\right) - \frac{1}{4} \, b n x^{2} + \frac{1}{2} \, b x^{2} \log\left(c\right) + \frac{1}{2} \, a x^{2}"," ",0,"1/2*b*n*x^2*log(x) - 1/4*b*n*x^2 + 1/2*b*x^2*log(c) + 1/2*a*x^2","A",0
46,1,20,0,0.272417," ","integrate(a+b*log(c*x^n),x, algorithm=""giac"")","{\left(n x \log\left(x\right) - n x + x \log\left(c\right)\right)} b + a x"," ",0,"(n*x*log(x) - n*x + x*log(c))*b + a*x","A",0
47,1,19,0,0.218369," ","integrate((a+b*log(c*x^n))/x,x, algorithm=""giac"")","\frac{1}{2} \, b n \log\left(x\right)^{2} + b \log\left(c\right) \log\left(x\right) + a \log\left(x\right)"," ",0,"1/2*b*n*log(x)^2 + b*log(c)*log(x) + a*log(x)","A",0
48,1,24,0,0.253192," ","integrate((a+b*log(c*x^n))/x^2,x, algorithm=""giac"")","-\frac{b n \log\left(x\right)}{x} - \frac{b n + b \log\left(c\right) + a}{x}"," ",0,"-b*n*log(x)/x - (b*n + b*log(c) + a)/x","A",0
49,1,27,0,0.253371," ","integrate((a+b*log(c*x^n))/x^3,x, algorithm=""giac"")","-\frac{b n \log\left(x\right)}{2 \, x^{2}} - \frac{b n + 2 \, b \log\left(c\right) + 2 \, a}{4 \, x^{2}}"," ",0,"-1/2*b*n*log(x)/x^2 - 1/4*(b*n + 2*b*log(c) + 2*a)/x^2","A",0
50,1,111,0,0.394902," ","integrate(x^3*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{4} \, b^{2} n^{2} x^{4} \log\left(x\right)^{2} - \frac{1}{8} \, b^{2} n^{2} x^{4} \log\left(x\right) + \frac{1}{2} \, b^{2} n x^{4} \log\left(c\right) \log\left(x\right) + \frac{1}{32} \, b^{2} n^{2} x^{4} - \frac{1}{8} \, b^{2} n x^{4} \log\left(c\right) + \frac{1}{4} \, b^{2} x^{4} \log\left(c\right)^{2} + \frac{1}{2} \, a b n x^{4} \log\left(x\right) - \frac{1}{8} \, a b n x^{4} + \frac{1}{2} \, a b x^{4} \log\left(c\right) + \frac{1}{4} \, a^{2} x^{4}"," ",0,"1/4*b^2*n^2*x^4*log(x)^2 - 1/8*b^2*n^2*x^4*log(x) + 1/2*b^2*n*x^4*log(c)*log(x) + 1/32*b^2*n^2*x^4 - 1/8*b^2*n*x^4*log(c) + 1/4*b^2*x^4*log(c)^2 + 1/2*a*b*n*x^4*log(x) - 1/8*a*b*n*x^4 + 1/2*a*b*x^4*log(c) + 1/4*a^2*x^4","B",0
51,1,111,0,0.346894," ","integrate(x^2*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{3} \, b^{2} n^{2} x^{3} \log\left(x\right)^{2} - \frac{2}{9} \, b^{2} n^{2} x^{3} \log\left(x\right) + \frac{2}{3} \, b^{2} n x^{3} \log\left(c\right) \log\left(x\right) + \frac{2}{27} \, b^{2} n^{2} x^{3} - \frac{2}{9} \, b^{2} n x^{3} \log\left(c\right) + \frac{1}{3} \, b^{2} x^{3} \log\left(c\right)^{2} + \frac{2}{3} \, a b n x^{3} \log\left(x\right) - \frac{2}{9} \, a b n x^{3} + \frac{2}{3} \, a b x^{3} \log\left(c\right) + \frac{1}{3} \, a^{2} x^{3}"," ",0,"1/3*b^2*n^2*x^3*log(x)^2 - 2/9*b^2*n^2*x^3*log(x) + 2/3*b^2*n*x^3*log(c)*log(x) + 2/27*b^2*n^2*x^3 - 2/9*b^2*n*x^3*log(c) + 1/3*b^2*x^3*log(c)^2 + 2/3*a*b*n*x^3*log(x) - 2/9*a*b*n*x^3 + 2/3*a*b*x^3*log(c) + 1/3*a^2*x^3","B",0
52,1,108,0,0.291321," ","integrate(x*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{1}{2} \, b^{2} n^{2} x^{2} \log\left(x\right)^{2} - \frac{1}{2} \, b^{2} n^{2} x^{2} \log\left(x\right) + b^{2} n x^{2} \log\left(c\right) \log\left(x\right) + \frac{1}{4} \, b^{2} n^{2} x^{2} - \frac{1}{2} \, b^{2} n x^{2} \log\left(c\right) + \frac{1}{2} \, b^{2} x^{2} \log\left(c\right)^{2} + a b n x^{2} \log\left(x\right) - \frac{1}{2} \, a b n x^{2} + a b x^{2} \log\left(c\right) + \frac{1}{2} \, a^{2} x^{2}"," ",0,"1/2*b^2*n^2*x^2*log(x)^2 - 1/2*b^2*n^2*x^2*log(x) + b^2*n*x^2*log(c)*log(x) + 1/4*b^2*n^2*x^2 - 1/2*b^2*n*x^2*log(c) + 1/2*b^2*x^2*log(c)^2 + a*b*n*x^2*log(x) - 1/2*a*b*n*x^2 + a*b*x^2*log(c) + 1/2*a^2*x^2","B",0
53,1,88,0,0.360066," ","integrate((a+b*log(c*x^n))^2,x, algorithm=""giac"")","b^{2} n^{2} x \log\left(x\right)^{2} - 2 \, b^{2} n^{2} x \log\left(x\right) + 2 \, b^{2} n x \log\left(c\right) \log\left(x\right) + 2 \, b^{2} n^{2} x - 2 \, b^{2} n x \log\left(c\right) + b^{2} x \log\left(c\right)^{2} + 2 \, a b n x \log\left(x\right) - 2 \, a b n x + 2 \, a b x \log\left(c\right) + a^{2} x"," ",0,"b^2*n^2*x*log(x)^2 - 2*b^2*n^2*x*log(x) + 2*b^2*n*x*log(c)*log(x) + 2*b^2*n^2*x - 2*b^2*n*x*log(c) + b^2*x*log(c)^2 + 2*a*b*n*x*log(x) - 2*a*b*n*x + 2*a*b*x*log(c) + a^2*x","B",0
54,1,56,0,0.287483," ","integrate((a+b*log(c*x^n))^2/x,x, algorithm=""giac"")","\frac{1}{3} \, b^{2} n^{2} \log\left(x\right)^{3} + b^{2} n \log\left(c\right) \log\left(x\right)^{2} + b^{2} \log\left(c\right)^{2} \log\left(x\right) + a b n \log\left(x\right)^{2} + 2 \, a b \log\left(c\right) \log\left(x\right) + a^{2} \log\left(x\right)"," ",0,"1/3*b^2*n^2*log(x)^3 + b^2*n*log(c)*log(x)^2 + b^2*log(c)^2*log(x) + a*b*n*log(x)^2 + 2*a*b*log(c)*log(x) + a^2*log(x)","B",0
55,1,86,0,0.310053," ","integrate((a+b*log(c*x^n))^2/x^2,x, algorithm=""giac"")","-\frac{b^{2} n^{2} \log\left(x\right)^{2}}{x} - \frac{2 \, {\left(b^{2} n^{2} + b^{2} n \log\left(c\right) + a b n\right)} \log\left(x\right)}{x} - \frac{2 \, b^{2} n^{2} + 2 \, b^{2} n \log\left(c\right) + b^{2} \log\left(c\right)^{2} + 2 \, a b n + 2 \, a b \log\left(c\right) + a^{2}}{x}"," ",0,"-b^2*n^2*log(x)^2/x - 2*(b^2*n^2 + b^2*n*log(c) + a*b*n)*log(x)/x - (2*b^2*n^2 + 2*b^2*n*log(c) + b^2*log(c)^2 + 2*a*b*n + 2*a*b*log(c) + a^2)/x","A",0
56,1,90,0,0.337175," ","integrate((a+b*log(c*x^n))^2/x^3,x, algorithm=""giac"")","-\frac{b^{2} n^{2} \log\left(x\right)^{2}}{2 \, x^{2}} - \frac{{\left(b^{2} n^{2} + 2 \, b^{2} n \log\left(c\right) + 2 \, a b n\right)} \log\left(x\right)}{2 \, x^{2}} - \frac{b^{2} n^{2} + 2 \, b^{2} n \log\left(c\right) + 2 \, b^{2} \log\left(c\right)^{2} + 2 \, a b n + 4 \, a b \log\left(c\right) + 2 \, a^{2}}{4 \, x^{2}}"," ",0,"-1/2*b^2*n^2*log(x)^2/x^2 - 1/2*(b^2*n^2 + 2*b^2*n*log(c) + 2*a*b*n)*log(x)/x^2 - 1/4*(b^2*n^2 + 2*b^2*n*log(c) + 2*b^2*log(c)^2 + 2*a*b*n + 4*a*b*log(c) + 2*a^2)/x^2","A",0
57,1,262,0,0.288738," ","integrate(x^3*(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\frac{1}{4} \, b^{3} n^{3} x^{4} \log\left(x\right)^{3} - \frac{3}{16} \, b^{3} n^{3} x^{4} \log\left(x\right)^{2} + \frac{3}{4} \, b^{3} n^{2} x^{4} \log\left(c\right) \log\left(x\right)^{2} + \frac{3}{32} \, b^{3} n^{3} x^{4} \log\left(x\right) - \frac{3}{8} \, b^{3} n^{2} x^{4} \log\left(c\right) \log\left(x\right) + \frac{3}{4} \, b^{3} n x^{4} \log\left(c\right)^{2} \log\left(x\right) + \frac{3}{4} \, a b^{2} n^{2} x^{4} \log\left(x\right)^{2} - \frac{3}{128} \, b^{3} n^{3} x^{4} + \frac{3}{32} \, b^{3} n^{2} x^{4} \log\left(c\right) - \frac{3}{16} \, b^{3} n x^{4} \log\left(c\right)^{2} + \frac{1}{4} \, b^{3} x^{4} \log\left(c\right)^{3} - \frac{3}{8} \, a b^{2} n^{2} x^{4} \log\left(x\right) + \frac{3}{2} \, a b^{2} n x^{4} \log\left(c\right) \log\left(x\right) + \frac{3}{32} \, a b^{2} n^{2} x^{4} - \frac{3}{8} \, a b^{2} n x^{4} \log\left(c\right) + \frac{3}{4} \, a b^{2} x^{4} \log\left(c\right)^{2} + \frac{3}{4} \, a^{2} b n x^{4} \log\left(x\right) - \frac{3}{16} \, a^{2} b n x^{4} + \frac{3}{4} \, a^{2} b x^{4} \log\left(c\right) + \frac{1}{4} \, a^{3} x^{4}"," ",0,"1/4*b^3*n^3*x^4*log(x)^3 - 3/16*b^3*n^3*x^4*log(x)^2 + 3/4*b^3*n^2*x^4*log(c)*log(x)^2 + 3/32*b^3*n^3*x^4*log(x) - 3/8*b^3*n^2*x^4*log(c)*log(x) + 3/4*b^3*n*x^4*log(c)^2*log(x) + 3/4*a*b^2*n^2*x^4*log(x)^2 - 3/128*b^3*n^3*x^4 + 3/32*b^3*n^2*x^4*log(c) - 3/16*b^3*n*x^4*log(c)^2 + 1/4*b^3*x^4*log(c)^3 - 3/8*a*b^2*n^2*x^4*log(x) + 3/2*a*b^2*n*x^4*log(c)*log(x) + 3/32*a*b^2*n^2*x^4 - 3/8*a*b^2*n*x^4*log(c) + 3/4*a*b^2*x^4*log(c)^2 + 3/4*a^2*b*n*x^4*log(x) - 3/16*a^2*b*n*x^4 + 3/4*a^2*b*x^4*log(c) + 1/4*a^3*x^4","B",0
58,1,256,0,0.295666," ","integrate(x^2*(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\frac{1}{3} \, b^{3} n^{3} x^{3} \log\left(x\right)^{3} - \frac{1}{3} \, b^{3} n^{3} x^{3} \log\left(x\right)^{2} + b^{3} n^{2} x^{3} \log\left(c\right) \log\left(x\right)^{2} + \frac{2}{9} \, b^{3} n^{3} x^{3} \log\left(x\right) - \frac{2}{3} \, b^{3} n^{2} x^{3} \log\left(c\right) \log\left(x\right) + b^{3} n x^{3} \log\left(c\right)^{2} \log\left(x\right) + a b^{2} n^{2} x^{3} \log\left(x\right)^{2} - \frac{2}{27} \, b^{3} n^{3} x^{3} + \frac{2}{9} \, b^{3} n^{2} x^{3} \log\left(c\right) - \frac{1}{3} \, b^{3} n x^{3} \log\left(c\right)^{2} + \frac{1}{3} \, b^{3} x^{3} \log\left(c\right)^{3} - \frac{2}{3} \, a b^{2} n^{2} x^{3} \log\left(x\right) + 2 \, a b^{2} n x^{3} \log\left(c\right) \log\left(x\right) + \frac{2}{9} \, a b^{2} n^{2} x^{3} - \frac{2}{3} \, a b^{2} n x^{3} \log\left(c\right) + a b^{2} x^{3} \log\left(c\right)^{2} + a^{2} b n x^{3} \log\left(x\right) - \frac{1}{3} \, a^{2} b n x^{3} + a^{2} b x^{3} \log\left(c\right) + \frac{1}{3} \, a^{3} x^{3}"," ",0,"1/3*b^3*n^3*x^3*log(x)^3 - 1/3*b^3*n^3*x^3*log(x)^2 + b^3*n^2*x^3*log(c)*log(x)^2 + 2/9*b^3*n^3*x^3*log(x) - 2/3*b^3*n^2*x^3*log(c)*log(x) + b^3*n*x^3*log(c)^2*log(x) + a*b^2*n^2*x^3*log(x)^2 - 2/27*b^3*n^3*x^3 + 2/9*b^3*n^2*x^3*log(c) - 1/3*b^3*n*x^3*log(c)^2 + 1/3*b^3*x^3*log(c)^3 - 2/3*a*b^2*n^2*x^3*log(x) + 2*a*b^2*n*x^3*log(c)*log(x) + 2/9*a*b^2*n^2*x^3 - 2/3*a*b^2*n*x^3*log(c) + a*b^2*x^3*log(c)^2 + a^2*b*n*x^3*log(x) - 1/3*a^2*b*n*x^3 + a^2*b*x^3*log(c) + 1/3*a^3*x^3","B",0
59,1,262,0,0.374601," ","integrate(x*(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\frac{1}{2} \, b^{3} n^{3} x^{2} \log\left(x\right)^{3} - \frac{3}{4} \, b^{3} n^{3} x^{2} \log\left(x\right)^{2} + \frac{3}{2} \, b^{3} n^{2} x^{2} \log\left(c\right) \log\left(x\right)^{2} + \frac{3}{4} \, b^{3} n^{3} x^{2} \log\left(x\right) - \frac{3}{2} \, b^{3} n^{2} x^{2} \log\left(c\right) \log\left(x\right) + \frac{3}{2} \, b^{3} n x^{2} \log\left(c\right)^{2} \log\left(x\right) + \frac{3}{2} \, a b^{2} n^{2} x^{2} \log\left(x\right)^{2} - \frac{3}{8} \, b^{3} n^{3} x^{2} + \frac{3}{4} \, b^{3} n^{2} x^{2} \log\left(c\right) - \frac{3}{4} \, b^{3} n x^{2} \log\left(c\right)^{2} + \frac{1}{2} \, b^{3} x^{2} \log\left(c\right)^{3} - \frac{3}{2} \, a b^{2} n^{2} x^{2} \log\left(x\right) + 3 \, a b^{2} n x^{2} \log\left(c\right) \log\left(x\right) + \frac{3}{4} \, a b^{2} n^{2} x^{2} - \frac{3}{2} \, a b^{2} n x^{2} \log\left(c\right) + \frac{3}{2} \, a b^{2} x^{2} \log\left(c\right)^{2} + \frac{3}{2} \, a^{2} b n x^{2} \log\left(x\right) - \frac{3}{4} \, a^{2} b n x^{2} + \frac{3}{2} \, a^{2} b x^{2} \log\left(c\right) + \frac{1}{2} \, a^{3} x^{2}"," ",0,"1/2*b^3*n^3*x^2*log(x)^3 - 3/4*b^3*n^3*x^2*log(x)^2 + 3/2*b^3*n^2*x^2*log(c)*log(x)^2 + 3/4*b^3*n^3*x^2*log(x) - 3/2*b^3*n^2*x^2*log(c)*log(x) + 3/2*b^3*n*x^2*log(c)^2*log(x) + 3/2*a*b^2*n^2*x^2*log(x)^2 - 3/8*b^3*n^3*x^2 + 3/4*b^3*n^2*x^2*log(c) - 3/4*b^3*n*x^2*log(c)^2 + 1/2*b^3*x^2*log(c)^3 - 3/2*a*b^2*n^2*x^2*log(x) + 3*a*b^2*n*x^2*log(c)*log(x) + 3/4*a*b^2*n^2*x^2 - 3/2*a*b^2*n*x^2*log(c) + 3/2*a*b^2*x^2*log(c)^2 + 3/2*a^2*b*n*x^2*log(x) - 3/4*a^2*b*n*x^2 + 3/2*a^2*b*x^2*log(c) + 1/2*a^3*x^2","B",0
60,1,219,0,0.248906," ","integrate((a+b*log(c*x^n))^3,x, algorithm=""giac"")","b^{3} n^{3} x \log\left(x\right)^{3} - 3 \, b^{3} n^{3} x \log\left(x\right)^{2} + 3 \, b^{3} n^{2} x \log\left(c\right) \log\left(x\right)^{2} + 6 \, b^{3} n^{3} x \log\left(x\right) - 6 \, b^{3} n^{2} x \log\left(c\right) \log\left(x\right) + 3 \, b^{3} n x \log\left(c\right)^{2} \log\left(x\right) + 3 \, a b^{2} n^{2} x \log\left(x\right)^{2} - 6 \, b^{3} n^{3} x + 6 \, b^{3} n^{2} x \log\left(c\right) - 3 \, b^{3} n x \log\left(c\right)^{2} + b^{3} x \log\left(c\right)^{3} - 6 \, a b^{2} n^{2} x \log\left(x\right) + 6 \, a b^{2} n x \log\left(c\right) \log\left(x\right) + 6 \, a b^{2} n^{2} x - 6 \, a b^{2} n x \log\left(c\right) + 3 \, a b^{2} x \log\left(c\right)^{2} + 3 \, a^{2} b n x \log\left(x\right) - 3 \, a^{2} b n x + 3 \, a^{2} b x \log\left(c\right) + a^{3} x"," ",0,"b^3*n^3*x*log(x)^3 - 3*b^3*n^3*x*log(x)^2 + 3*b^3*n^2*x*log(c)*log(x)^2 + 6*b^3*n^3*x*log(x) - 6*b^3*n^2*x*log(c)*log(x) + 3*b^3*n*x*log(c)^2*log(x) + 3*a*b^2*n^2*x*log(x)^2 - 6*b^3*n^3*x + 6*b^3*n^2*x*log(c) - 3*b^3*n*x*log(c)^2 + b^3*x*log(c)^3 - 6*a*b^2*n^2*x*log(x) + 6*a*b^2*n*x*log(c)*log(x) + 6*a*b^2*n^2*x - 6*a*b^2*n*x*log(c) + 3*a*b^2*x*log(c)^2 + 3*a^2*b*n*x*log(x) - 3*a^2*b*n*x + 3*a^2*b*x*log(c) + a^3*x","B",0
61,1,114,0,0.271092," ","integrate((a+b*log(c*x^n))^3/x,x, algorithm=""giac"")","\frac{1}{4} \, b^{3} n^{3} \log\left(x\right)^{4} + b^{3} n^{2} \log\left(c\right) \log\left(x\right)^{3} + \frac{3}{2} \, b^{3} n \log\left(c\right)^{2} \log\left(x\right)^{2} + a b^{2} n^{2} \log\left(x\right)^{3} + b^{3} \log\left(c\right)^{3} \log\left(x\right) + 3 \, a b^{2} n \log\left(c\right) \log\left(x\right)^{2} + 3 \, a b^{2} \log\left(c\right)^{2} \log\left(x\right) + \frac{3}{2} \, a^{2} b n \log\left(x\right)^{2} + 3 \, a^{2} b \log\left(c\right) \log\left(x\right) + a^{3} \log\left(x\right)"," ",0,"1/4*b^3*n^3*log(x)^4 + b^3*n^2*log(c)*log(x)^3 + 3/2*b^3*n*log(c)^2*log(x)^2 + a*b^2*n^2*log(x)^3 + b^3*log(c)^3*log(x) + 3*a*b^2*n*log(c)*log(x)^2 + 3*a*b^2*log(c)^2*log(x) + 3/2*a^2*b*n*log(x)^2 + 3*a^2*b*log(c)*log(x) + a^3*log(x)","B",0
62,1,197,0,0.280394," ","integrate((a+b*log(c*x^n))^3/x^2,x, algorithm=""giac"")","-\frac{b^{3} n^{3} \log\left(x\right)^{3}}{x} - \frac{3 \, {\left(b^{3} n^{3} + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} \log\left(x\right)^{2}}{x} - \frac{3 \, {\left(2 \, b^{3} n^{3} + 2 \, b^{3} n^{2} \log\left(c\right) + b^{3} n \log\left(c\right)^{2} + 2 \, a b^{2} n^{2} + 2 \, a b^{2} n \log\left(c\right) + a^{2} b n\right)} \log\left(x\right)}{x} - \frac{6 \, b^{3} n^{3} + 6 \, b^{3} n^{2} \log\left(c\right) + 3 \, b^{3} n \log\left(c\right)^{2} + b^{3} \log\left(c\right)^{3} + 6 \, a b^{2} n^{2} + 6 \, a b^{2} n \log\left(c\right) + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b n + 3 \, a^{2} b \log\left(c\right) + a^{3}}{x}"," ",0,"-b^3*n^3*log(x)^3/x - 3*(b^3*n^3 + b^3*n^2*log(c) + a*b^2*n^2)*log(x)^2/x - 3*(2*b^3*n^3 + 2*b^3*n^2*log(c) + b^3*n*log(c)^2 + 2*a*b^2*n^2 + 2*a*b^2*n*log(c) + a^2*b*n)*log(x)/x - (6*b^3*n^3 + 6*b^3*n^2*log(c) + 3*b^3*n*log(c)^2 + b^3*log(c)^3 + 6*a*b^2*n^2 + 6*a*b^2*n*log(c) + 3*a*b^2*log(c)^2 + 3*a^2*b*n + 3*a^2*b*log(c) + a^3)/x","B",0
63,1,203,0,0.348258," ","integrate((a+b*log(c*x^n))^3/x^3,x, algorithm=""giac"")","-\frac{b^{3} n^{3} \log\left(x\right)^{3}}{2 \, x^{2}} - \frac{3 \, {\left(b^{3} n^{3} + 2 \, b^{3} n^{2} \log\left(c\right) + 2 \, a b^{2} n^{2}\right)} \log\left(x\right)^{2}}{4 \, x^{2}} - \frac{3 \, {\left(b^{3} n^{3} + 2 \, b^{3} n^{2} \log\left(c\right) + 2 \, b^{3} n \log\left(c\right)^{2} + 2 \, a b^{2} n^{2} + 4 \, a b^{2} n \log\left(c\right) + 2 \, a^{2} b n\right)} \log\left(x\right)}{4 \, x^{2}} - \frac{3 \, b^{3} n^{3} + 6 \, b^{3} n^{2} \log\left(c\right) + 6 \, b^{3} n \log\left(c\right)^{2} + 4 \, b^{3} \log\left(c\right)^{3} + 6 \, a b^{2} n^{2} + 12 \, a b^{2} n \log\left(c\right) + 12 \, a b^{2} \log\left(c\right)^{2} + 6 \, a^{2} b n + 12 \, a^{2} b \log\left(c\right) + 4 \, a^{3}}{8 \, x^{2}}"," ",0,"-1/2*b^3*n^3*log(x)^3/x^2 - 3/4*(b^3*n^3 + 2*b^3*n^2*log(c) + 2*a*b^2*n^2)*log(x)^2/x^2 - 3/4*(b^3*n^3 + 2*b^3*n^2*log(c) + 2*b^3*n*log(c)^2 + 2*a*b^2*n^2 + 4*a*b^2*n*log(c) + 2*a^2*b*n)*log(x)/x^2 - 1/8*(3*b^3*n^3 + 6*b^3*n^2*log(c) + 6*b^3*n*log(c)^2 + 4*b^3*log(c)^3 + 6*a*b^2*n^2 + 12*a*b^2*n*log(c) + 12*a*b^2*log(c)^2 + 6*a^2*b*n + 12*a^2*b*log(c) + 4*a^3)/x^2","B",0
64,1,204,0,0.300745," ","integrate((a+b*log(c*x^n))^3/x^4,x, algorithm=""giac"")","-\frac{b^{3} n^{3} \log\left(x\right)^{3}}{3 \, x^{3}} - \frac{{\left(b^{3} n^{3} + 3 \, b^{3} n^{2} \log\left(c\right) + 3 \, a b^{2} n^{2}\right)} \log\left(x\right)^{2}}{3 \, x^{3}} - \frac{{\left(2 \, b^{3} n^{3} + 6 \, b^{3} n^{2} \log\left(c\right) + 9 \, b^{3} n \log\left(c\right)^{2} + 6 \, a b^{2} n^{2} + 18 \, a b^{2} n \log\left(c\right) + 9 \, a^{2} b n\right)} \log\left(x\right)}{9 \, x^{3}} - \frac{2 \, b^{3} n^{3} + 6 \, b^{3} n^{2} \log\left(c\right) + 9 \, b^{3} n \log\left(c\right)^{2} + 9 \, b^{3} \log\left(c\right)^{3} + 6 \, a b^{2} n^{2} + 18 \, a b^{2} n \log\left(c\right) + 27 \, a b^{2} \log\left(c\right)^{2} + 9 \, a^{2} b n + 27 \, a^{2} b \log\left(c\right) + 9 \, a^{3}}{27 \, x^{3}}"," ",0,"-1/3*b^3*n^3*log(x)^3/x^3 - 1/3*(b^3*n^3 + 3*b^3*n^2*log(c) + 3*a*b^2*n^2)*log(x)^2/x^3 - 1/9*(2*b^3*n^3 + 6*b^3*n^2*log(c) + 9*b^3*n*log(c)^2 + 6*a*b^2*n^2 + 18*a*b^2*n*log(c) + 9*a^2*b*n)*log(x)/x^3 - 1/27*(2*b^3*n^3 + 6*b^3*n^2*log(c) + 9*b^3*n*log(c)^2 + 9*b^3*log(c)^3 + 6*a*b^2*n^2 + 18*a*b^2*n*log(c) + 27*a*b^2*log(c)^2 + 9*a^2*b*n + 27*a^2*b*log(c) + 9*a^3)/x^3","B",0
65,1,48,0,0.336757," ","integrate(x^3/(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x\right)\right) e^{\left(-\frac{4 \, a}{b n}\right)}}{b c^{\frac{4}{n}} n}"," ",0,"Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x))*e^(-4*a/(b*n))/(b*c^(4/n)*n)","A",0
66,1,48,0,0.255831," ","integrate(x^2/(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x\right)\right) e^{\left(-\frac{3 \, a}{b n}\right)}}{b c^{\frac{3}{n}} n}"," ",0,"Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x))*e^(-3*a/(b*n))/(b*c^(3/n)*n)","A",0
67,1,48,0,0.306393," ","integrate(x/(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x\right)\right) e^{\left(-\frac{2 \, a}{b n}\right)}}{b c^{\frac{2}{n}} n}"," ",0,"Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x))*e^(-2*a/(b*n))/(b*c^(2/n)*n)","A",0
68,1,42,0,0.285855," ","integrate(1/(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x\right)\right) e^{\left(-\frac{a}{b n}\right)}}{b c^{\left(\frac{1}{n}\right)} n}"," ",0,"Ei(log(c)/n + a/(b*n) + log(x))*e^(-a/(b*n))/(b*c^(1/n)*n)","A",0
69,1,45,0,0.305604," ","integrate(1/x/(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{\log\left(\frac{1}{4} \, {\left(\pi b n {\left(\mathrm{sgn}\left(x\right) - 1\right)} + \pi b {\left(\mathrm{sgn}\left(c\right) - 1\right)}\right)}^{2} + {\left(b n \log\left({\left| x \right|}\right) + b \log\left({\left| c \right|}\right) + a\right)}^{2}\right)}{2 \, b n}"," ",0,"1/2*log(1/4*(pi*b*n*(sgn(x) - 1) + pi*b*(sgn(c) - 1))^2 + (b*n*log(abs(x)) + b*log(abs(c)) + a)^2)/(b*n)","B",0
70,0,0,0,0.000000," ","integrate(1/x^2/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(c x^{n}\right) + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*log(c*x^n) + a)*x^2), x)","F",0
71,0,0,0,0.000000," ","integrate(1/x^3/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(c x^{n}\right) + a\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((b*log(c*x^n) + a)*x^3), x)","F",0
72,0,0,0,0.000000," ","integrate(1/x^4/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(c x^{n}\right) + a\right)} x^{4}}\,{d x}"," ",0,"integrate(1/((b*log(c*x^n) + a)*x^4), x)","F",0
73,1,261,0,0.497646," ","integrate(x^3/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","-\frac{b n x^{4}}{b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}} + \frac{4 \, b n {\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x\right)\right) e^{\left(-\frac{4 \, a}{b n}\right)} \log\left(x\right)}{{\left(b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} c^{\frac{4}{n}}} + \frac{4 \, b {\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x\right)\right) e^{\left(-\frac{4 \, a}{b n}\right)} \log\left(c\right)}{{\left(b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} c^{\frac{4}{n}}} + \frac{4 \, a {\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x\right)\right) e^{\left(-\frac{4 \, a}{b n}\right)}}{{\left(b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} c^{\frac{4}{n}}}"," ",0,"-b*n*x^4/(b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2) + 4*b*n*Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x))*e^(-4*a/(b*n))*log(x)/((b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2)*c^(4/n)) + 4*b*Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x))*e^(-4*a/(b*n))*log(c)/((b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2)*c^(4/n)) + 4*a*Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x))*e^(-4*a/(b*n))/((b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2)*c^(4/n))","B",0
74,1,261,0,0.441977," ","integrate(x^2/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","-\frac{b n x^{3}}{b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}} + \frac{3 \, b n {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x\right)\right) e^{\left(-\frac{3 \, a}{b n}\right)} \log\left(x\right)}{{\left(b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} c^{\frac{3}{n}}} + \frac{3 \, b {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x\right)\right) e^{\left(-\frac{3 \, a}{b n}\right)} \log\left(c\right)}{{\left(b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} c^{\frac{3}{n}}} + \frac{3 \, a {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x\right)\right) e^{\left(-\frac{3 \, a}{b n}\right)}}{{\left(b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} c^{\frac{3}{n}}}"," ",0,"-b*n*x^3/(b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2) + 3*b*n*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x))*e^(-3*a/(b*n))*log(x)/((b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2)*c^(3/n)) + 3*b*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x))*e^(-3*a/(b*n))*log(c)/((b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2)*c^(3/n)) + 3*a*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x))*e^(-3*a/(b*n))/((b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2)*c^(3/n))","B",0
75,1,261,0,0.424120," ","integrate(x/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","-\frac{b n x^{2}}{b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}} + \frac{2 \, b n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x\right)\right) e^{\left(-\frac{2 \, a}{b n}\right)} \log\left(x\right)}{{\left(b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} c^{\frac{2}{n}}} + \frac{2 \, b {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x\right)\right) e^{\left(-\frac{2 \, a}{b n}\right)} \log\left(c\right)}{{\left(b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} c^{\frac{2}{n}}} + \frac{2 \, a {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x\right)\right) e^{\left(-\frac{2 \, a}{b n}\right)}}{{\left(b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} c^{\frac{2}{n}}}"," ",0,"-b*n*x^2/(b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2) + 2*b*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x))*e^(-2*a/(b*n))*log(x)/((b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2)*c^(2/n)) + 2*b*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x))*e^(-2*a/(b*n))*log(c)/((b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2)*c^(2/n)) + 2*a*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x))*e^(-2*a/(b*n))/((b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2)*c^(2/n))","B",0
76,1,238,0,0.314769," ","integrate(1/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{b n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(x\right)}{{\left(b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{b n x}{b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}} + \frac{b {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(c\right)}{{\left(b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{a {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x\right)\right) e^{\left(-\frac{a}{b n}\right)}}{{\left(b^{3} n^{3} \log\left(x\right) + b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} c^{\left(\frac{1}{n}\right)}}"," ",0,"b*n*Ei(log(c)/n + a/(b*n) + log(x))*e^(-a/(b*n))*log(x)/((b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2)*c^(1/n)) - b*n*x/(b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2) + b*Ei(log(c)/n + a/(b*n) + log(x))*e^(-a/(b*n))*log(c)/((b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2)*c^(1/n)) + a*Ei(log(c)/n + a/(b*n) + log(x))*e^(-a/(b*n))/((b^3*n^3*log(x) + b^3*n^2*log(c) + a*b^2*n^2)*c^(1/n))","B",0
77,1,21,0,0.251851," ","integrate(1/x/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","-\frac{1}{{\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)} b n}"," ",0,"-1/((b*n*log(x) + b*log(c) + a)*b*n)","A",0
78,0,0,0,0.000000," ","integrate(1/x^2/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(1/((b*log(c*x^n) + a)^2*x^2), x)","F",0
79,0,0,0,0.000000," ","integrate(1/x^3/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate(1/((b*log(c*x^n) + a)^2*x^3), x)","F",0
80,0,0,0,0.000000," ","integrate(1/x^4/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(c x^{n}\right) + a\right)}^{2} x^{4}}\,{d x}"," ",0,"integrate(1/((b*log(c*x^n) + a)^2*x^4), x)","F",0
81,1,1029,0,0.549619," ","integrate(x^3/(a+b*log(c*x^n))^3,x, algorithm=""giac"")","-\frac{2 \, b^{2} n^{2} x^{4} \log\left(x\right)}{b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}} - \frac{b^{2} n^{2} x^{4}}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)}} - \frac{2 \, b^{2} n x^{4} \log\left(c\right)}{b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}} - \frac{2 \, a b n x^{4}}{b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}} + \frac{8 \, b^{2} n^{2} {\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x\right)\right) e^{\left(-\frac{4 \, a}{b n}\right)} \log\left(x\right)^{2}}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{4}{n}}} + \frac{16 \, b^{2} n {\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x\right)\right) e^{\left(-\frac{4 \, a}{b n}\right)} \log\left(c\right) \log\left(x\right)}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{4}{n}}} + \frac{8 \, b^{2} {\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x\right)\right) e^{\left(-\frac{4 \, a}{b n}\right)} \log\left(c\right)^{2}}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{4}{n}}} + \frac{16 \, a b n {\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x\right)\right) e^{\left(-\frac{4 \, a}{b n}\right)} \log\left(x\right)}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{4}{n}}} + \frac{16 \, a b {\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x\right)\right) e^{\left(-\frac{4 \, a}{b n}\right)} \log\left(c\right)}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{4}{n}}} + \frac{8 \, a^{2} {\rm Ei}\left(\frac{4 \, \log\left(c\right)}{n} + \frac{4 \, a}{b n} + 4 \, \log\left(x\right)\right) e^{\left(-\frac{4 \, a}{b n}\right)}}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{4}{n}}}"," ",0,"-2*b^2*n^2*x^4*log(x)/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) - 1/2*b^2*n^2*x^4/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) - 2*b^2*n*x^4*log(c)/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) - 2*a*b*n*x^4/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) + 8*b^2*n^2*Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x))*e^(-4*a/(b*n))*log(x)^2/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(4/n)) + 16*b^2*n*Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x))*e^(-4*a/(b*n))*log(c)*log(x)/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(4/n)) + 8*b^2*Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x))*e^(-4*a/(b*n))*log(c)^2/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(4/n)) + 16*a*b*n*Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x))*e^(-4*a/(b*n))*log(x)/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(4/n)) + 16*a*b*Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x))*e^(-4*a/(b*n))*log(c)/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(4/n)) + 8*a^2*Ei(4*log(c)/n + 4*a/(b*n) + 4*log(x))*e^(-4*a/(b*n))/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(4/n))","B",0
82,1,1029,0,0.555931," ","integrate(x^2/(a+b*log(c*x^n))^3,x, algorithm=""giac"")","-\frac{3 \, b^{2} n^{2} x^{3} \log\left(x\right)}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)}} - \frac{b^{2} n^{2} x^{3}}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)}} - \frac{3 \, b^{2} n x^{3} \log\left(c\right)}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)}} + \frac{9 \, b^{2} n^{2} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x\right)\right) e^{\left(-\frac{3 \, a}{b n}\right)} \log\left(x\right)^{2}}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{3}{n}}} - \frac{3 \, a b n x^{3}}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)}} + \frac{9 \, b^{2} n {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x\right)\right) e^{\left(-\frac{3 \, a}{b n}\right)} \log\left(c\right) \log\left(x\right)}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{3}{n}}} + \frac{9 \, b^{2} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x\right)\right) e^{\left(-\frac{3 \, a}{b n}\right)} \log\left(c\right)^{2}}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{3}{n}}} + \frac{9 \, a b n {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x\right)\right) e^{\left(-\frac{3 \, a}{b n}\right)} \log\left(x\right)}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{3}{n}}} + \frac{9 \, a b {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x\right)\right) e^{\left(-\frac{3 \, a}{b n}\right)} \log\left(c\right)}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{3}{n}}} + \frac{9 \, a^{2} {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{n} + \frac{3 \, a}{b n} + 3 \, \log\left(x\right)\right) e^{\left(-\frac{3 \, a}{b n}\right)}}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{3}{n}}}"," ",0,"-3/2*b^2*n^2*x^3*log(x)/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) - 1/2*b^2*n^2*x^3/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) - 3/2*b^2*n*x^3*log(c)/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) + 9/2*b^2*n^2*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x))*e^(-3*a/(b*n))*log(x)^2/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(3/n)) - 3/2*a*b*n*x^3/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) + 9*b^2*n*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x))*e^(-3*a/(b*n))*log(c)*log(x)/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(3/n)) + 9/2*b^2*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x))*e^(-3*a/(b*n))*log(c)^2/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(3/n)) + 9*a*b*n*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x))*e^(-3*a/(b*n))*log(x)/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(3/n)) + 9*a*b*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x))*e^(-3*a/(b*n))*log(c)/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(3/n)) + 9/2*a^2*Ei(3*log(c)/n + 3*a/(b*n) + 3*log(x))*e^(-3*a/(b*n))/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(3/n))","B",0
83,1,1029,0,0.564631," ","integrate(x/(a+b*log(c*x^n))^3,x, algorithm=""giac"")","-\frac{b^{2} n^{2} x^{2} \log\left(x\right)}{b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}} + \frac{2 \, b^{2} n^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x\right)\right) e^{\left(-\frac{2 \, a}{b n}\right)} \log\left(x\right)^{2}}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{2}{n}}} - \frac{b^{2} n^{2} x^{2}}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)}} - \frac{b^{2} n x^{2} \log\left(c\right)}{b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}} + \frac{4 \, b^{2} n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x\right)\right) e^{\left(-\frac{2 \, a}{b n}\right)} \log\left(c\right) \log\left(x\right)}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{2}{n}}} - \frac{a b n x^{2}}{b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}} + \frac{2 \, b^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x\right)\right) e^{\left(-\frac{2 \, a}{b n}\right)} \log\left(c\right)^{2}}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{2}{n}}} + \frac{4 \, a b n {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x\right)\right) e^{\left(-\frac{2 \, a}{b n}\right)} \log\left(x\right)}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{2}{n}}} + \frac{4 \, a b {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x\right)\right) e^{\left(-\frac{2 \, a}{b n}\right)} \log\left(c\right)}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{2}{n}}} + \frac{2 \, a^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{n} + \frac{2 \, a}{b n} + 2 \, \log\left(x\right)\right) e^{\left(-\frac{2 \, a}{b n}\right)}}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\frac{2}{n}}}"," ",0,"-b^2*n^2*x^2*log(x)/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) + 2*b^2*n^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x))*e^(-2*a/(b*n))*log(x)^2/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(2/n)) - 1/2*b^2*n^2*x^2/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) - b^2*n*x^2*log(c)/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) + 4*b^2*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x))*e^(-2*a/(b*n))*log(c)*log(x)/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(2/n)) - a*b*n*x^2/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) + 2*b^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x))*e^(-2*a/(b*n))*log(c)^2/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(2/n)) + 4*a*b*n*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x))*e^(-2*a/(b*n))*log(x)/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(2/n)) + 4*a*b*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x))*e^(-2*a/(b*n))*log(c)/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(2/n)) + 2*a^2*Ei(2*log(c)/n + 2*a/(b*n) + 2*log(x))*e^(-2*a/(b*n))/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(2/n))","B",0
84,1,982,0,0.361170," ","integrate(1/(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\frac{b^{2} n^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(x\right)^{2}}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{b^{2} n^{2} x \log\left(x\right)}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)}} + \frac{b^{2} n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(c\right) \log\left(x\right)}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{b^{2} n^{2} x}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)}} - \frac{b^{2} n x \log\left(c\right)}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)}} + \frac{b^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(c\right)^{2}}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{a b n {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(x\right)}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\left(\frac{1}{n}\right)}} - \frac{a b n x}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)}} + \frac{a b {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x\right)\right) e^{\left(-\frac{a}{b n}\right)} \log\left(c\right)}{{\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\left(\frac{1}{n}\right)}} + \frac{a^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{n} + \frac{a}{b n} + \log\left(x\right)\right) e^{\left(-\frac{a}{b n}\right)}}{2 \, {\left(b^{5} n^{5} \log\left(x\right)^{2} + 2 \, b^{5} n^{4} \log\left(c\right) \log\left(x\right) + b^{5} n^{3} \log\left(c\right)^{2} + 2 \, a b^{4} n^{4} \log\left(x\right) + 2 \, a b^{4} n^{3} \log\left(c\right) + a^{2} b^{3} n^{3}\right)} c^{\left(\frac{1}{n}\right)}}"," ",0,"1/2*b^2*n^2*Ei(log(c)/n + a/(b*n) + log(x))*e^(-a/(b*n))*log(x)^2/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(1/n)) - 1/2*b^2*n^2*x*log(x)/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) + b^2*n*Ei(log(c)/n + a/(b*n) + log(x))*e^(-a/(b*n))*log(c)*log(x)/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(1/n)) - 1/2*b^2*n^2*x/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) - 1/2*b^2*n*x*log(c)/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) + 1/2*b^2*Ei(log(c)/n + a/(b*n) + log(x))*e^(-a/(b*n))*log(c)^2/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(1/n)) + a*b*n*Ei(log(c)/n + a/(b*n) + log(x))*e^(-a/(b*n))*log(x)/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(1/n)) - 1/2*a*b*n*x/(b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3) + a*b*Ei(log(c)/n + a/(b*n) + log(x))*e^(-a/(b*n))*log(c)/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(1/n)) + 1/2*a^2*Ei(log(c)/n + a/(b*n) + log(x))*e^(-a/(b*n))/((b^5*n^5*log(x)^2 + 2*b^5*n^4*log(c)*log(x) + b^5*n^3*log(c)^2 + 2*a*b^4*n^4*log(x) + 2*a*b^4*n^3*log(c) + a^2*b^3*n^3)*c^(1/n))","B",0
85,1,21,0,0.326296," ","integrate(1/x/(a+b*log(c*x^n))^3,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}^{2} b n}"," ",0,"-1/2/((b*n*log(x) + b*log(c) + a)^2*b*n)","A",0
86,0,0,0,0.000000," ","integrate(1/x^2/(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(c x^{n}\right) + a\right)}^{3} x^{2}}\,{d x}"," ",0,"integrate(1/((b*log(c*x^n) + a)^3*x^2), x)","F",0
87,0,0,0,0.000000," ","integrate(1/x^3/(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(c x^{n}\right) + a\right)}^{3} x^{3}}\,{d x}"," ",0,"integrate(1/((b*log(c*x^n) + a)^3*x^3), x)","F",0
88,0,0,0,0.000000," ","integrate(1/x^4/(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(c x^{n}\right) + a\right)}^{3} x^{4}}\,{d x}"," ",0,"integrate(1/((b*log(c*x^n) + a)^3*x^4), x)","F",0
89,1,117,0,0.516537," ","integrate((d*x)^(5/2)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\left(\frac{1}{7} i + \frac{1}{7}\right) \, \sqrt{2} b d^{2} n x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(x\right) - \left(\frac{1}{7} i - \frac{1}{7}\right) \, \sqrt{2} b d^{2} n x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \log\left(x\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(\frac{2}{49} i + \frac{2}{49}\right) \, \sqrt{2} b d^{2} n x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(\frac{2}{49} i - \frac{2}{49}\right) \, \sqrt{2} b d^{2} n x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \frac{2}{7} \, b d^{\frac{5}{2}} x^{\frac{7}{2}} \log\left(c\right) + \frac{2}{7} \, a d^{\frac{5}{2}} x^{\frac{7}{2}}"," ",0,"(1/7*I + 1/7)*sqrt(2)*b*d^2*n*x^(7/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(x) - (1/7*I - 1/7)*sqrt(2)*b*d^2*n*x^(7/2)*sqrt(abs(d))*log(x)*sin(1/4*pi*sgn(d)) - (2/49*I + 2/49)*sqrt(2)*b*d^2*n*x^(7/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d)) + (2/49*I - 2/49)*sqrt(2)*b*d^2*n*x^(7/2)*sqrt(abs(d))*sin(1/4*pi*sgn(d)) + 2/7*b*d^(5/2)*x^(7/2)*log(c) + 2/7*a*d^(5/2)*x^(7/2)","C",0
90,1,108,0,0.532947," ","integrate((d*x)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""giac"")","-\frac{1}{25} \, {\left(-\left(5 i + 5\right) \, \sqrt{2} b n x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(x\right) + \left(5 i - 5\right) \, \sqrt{2} b n x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \log\left(x\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(2 i + 2\right) \, \sqrt{2} b n x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(2 i - 2\right) \, \sqrt{2} b n x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - 10 \, b \sqrt{d} x^{\frac{5}{2}} \log\left(c\right) - 10 \, a \sqrt{d} x^{\frac{5}{2}}\right)} d"," ",0,"-1/25*(-(5*I + 5)*sqrt(2)*b*n*x^(5/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(x) + (5*I - 5)*sqrt(2)*b*n*x^(5/2)*sqrt(abs(d))*log(x)*sin(1/4*pi*sgn(d)) + (2*I + 2)*sqrt(2)*b*n*x^(5/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d)) - (2*I - 2)*sqrt(2)*b*n*x^(5/2)*sqrt(abs(d))*sin(1/4*pi*sgn(d)) - 10*b*sqrt(d)*x^(5/2)*log(c) - 10*a*sqrt(d)*x^(5/2))*d","C",0
91,1,105,0,0.537594," ","integrate((d*x)^(1/2)*(a+b*log(c*x^n)),x, algorithm=""giac"")","\left(\frac{1}{3} i + \frac{1}{3}\right) \, \sqrt{2} b n x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(x\right) - \left(\frac{1}{3} i - \frac{1}{3}\right) \, \sqrt{2} b n x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \log\left(x\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(\frac{2}{9} i + \frac{2}{9}\right) \, \sqrt{2} b n x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(\frac{2}{9} i - \frac{2}{9}\right) \, \sqrt{2} b n x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \frac{2}{3} \, b \sqrt{d} x^{\frac{3}{2}} \log\left(c\right) + \frac{2}{3} \, a \sqrt{d} x^{\frac{3}{2}}"," ",0,"(1/3*I + 1/3)*sqrt(2)*b*n*x^(3/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(x) - (1/3*I - 1/3)*sqrt(2)*b*n*x^(3/2)*sqrt(abs(d))*log(x)*sin(1/4*pi*sgn(d)) - (2/9*I + 2/9)*sqrt(2)*b*n*x^(3/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d)) + (2/9*I - 2/9)*sqrt(2)*b*n*x^(3/2)*sqrt(abs(d))*sin(1/4*pi*sgn(d)) + 2/3*b*sqrt(d)*x^(3/2)*log(c) + 2/3*a*sqrt(d)*x^(3/2)","C",0
92,1,41,0,0.288802," ","integrate((a+b*log(c*x^n))/(d*x)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(\sqrt{d x} \log\left(x\right) - 2 \, \sqrt{d x}\right)} b n + \sqrt{d x} b \log\left(c\right) + \sqrt{d x} a\right)}}{d}"," ",0,"2*((sqrt(d*x)*log(x) - 2*sqrt(d*x))*b*n + sqrt(d*x)*b*log(c) + sqrt(d*x)*a)/d","A",0
93,1,43,0,0.376033," ","integrate((a+b*log(c*x^n))/(d*x)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{b n \log\left(d x\right)}{\sqrt{d x}} - \frac{b n \log\left(d\right) - 2 \, b n - b \log\left(c\right) - a}{\sqrt{d x}}\right)}}{d}"," ",0,"-2*(b*n*log(d*x)/sqrt(d*x) - (b*n*log(d) - 2*b*n - b*log(c) - a)/sqrt(d*x))/d","A",0
94,1,67,0,0.353093," ","integrate((a+b*log(c*x^n))/(d*x)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{3 \, b d n \log\left(d x\right)}{\sqrt{d x} x} - \frac{3 \, b d^{2} n \log\left(d\right) - 2 \, b d^{2} n - 3 \, b d^{2} \log\left(c\right) - 3 \, a d^{2}}{\sqrt{d x} d x}\right)}}{9 \, d^{3}}"," ",0,"-2/9*(3*b*d*n*log(d*x)/(sqrt(d*x)*x) - (3*b*d^2*n*log(d) - 2*b*d^2*n - 3*b*d^2*log(c) - 3*a*d^2)/(sqrt(d*x)*d*x))/d^3","B",0
95,1,425,0,1.308583," ","integrate((d*x)^(5/2)*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\left(\frac{1}{7} i + \frac{1}{7}\right) \, \sqrt{2} b^{2} d^{2} n^{2} x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(x\right)^{2} - \left(\frac{1}{7} i - \frac{1}{7}\right) \, \sqrt{2} b^{2} d^{2} n^{2} x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \log\left(x\right)^{2} \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(\frac{4}{49} i + \frac{4}{49}\right) \, \sqrt{2} b^{2} d^{2} n^{2} x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(x\right) + \left(\frac{2}{7} i + \frac{2}{7}\right) \, \sqrt{2} b^{2} d^{2} n x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(c\right) \log\left(x\right) + \left(\frac{4}{49} i - \frac{4}{49}\right) \, \sqrt{2} b^{2} d^{2} n^{2} x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \log\left(x\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(\frac{2}{7} i - \frac{2}{7}\right) \, \sqrt{2} b^{2} d^{2} n x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \log\left(c\right) \log\left(x\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(\frac{8}{343} i + \frac{8}{343}\right) \, \sqrt{2} b^{2} d^{2} n^{2} x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(\frac{4}{49} i + \frac{4}{49}\right) \, \sqrt{2} b^{2} d^{2} n x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(c\right) + \left(\frac{2}{7} i + \frac{2}{7}\right) \, \sqrt{2} a b d^{2} n x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(x\right) - \left(\frac{8}{343} i - \frac{8}{343}\right) \, \sqrt{2} b^{2} d^{2} n^{2} x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(\frac{4}{49} i - \frac{4}{49}\right) \, \sqrt{2} b^{2} d^{2} n x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \log\left(c\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(\frac{2}{7} i - \frac{2}{7}\right) \, \sqrt{2} a b d^{2} n x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \log\left(x\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(\frac{4}{49} i + \frac{4}{49}\right) \, \sqrt{2} a b d^{2} n x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(\frac{4}{49} i - \frac{4}{49}\right) \, \sqrt{2} a b d^{2} n x^{\frac{7}{2}} \sqrt{{\left| d \right|}} \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \frac{2}{7} \, b^{2} d^{\frac{5}{2}} x^{\frac{7}{2}} \log\left(c\right)^{2} + \frac{4}{7} \, a b d^{\frac{5}{2}} x^{\frac{7}{2}} \log\left(c\right) + \frac{2}{7} \, a^{2} d^{\frac{5}{2}} x^{\frac{7}{2}}"," ",0,"(1/7*I + 1/7)*sqrt(2)*b^2*d^2*n^2*x^(7/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(x)^2 - (1/7*I - 1/7)*sqrt(2)*b^2*d^2*n^2*x^(7/2)*sqrt(abs(d))*log(x)^2*sin(1/4*pi*sgn(d)) - (4/49*I + 4/49)*sqrt(2)*b^2*d^2*n^2*x^(7/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(x) + (2/7*I + 2/7)*sqrt(2)*b^2*d^2*n*x^(7/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(c)*log(x) + (4/49*I - 4/49)*sqrt(2)*b^2*d^2*n^2*x^(7/2)*sqrt(abs(d))*log(x)*sin(1/4*pi*sgn(d)) - (2/7*I - 2/7)*sqrt(2)*b^2*d^2*n*x^(7/2)*sqrt(abs(d))*log(c)*log(x)*sin(1/4*pi*sgn(d)) + (8/343*I + 8/343)*sqrt(2)*b^2*d^2*n^2*x^(7/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d)) - (4/49*I + 4/49)*sqrt(2)*b^2*d^2*n*x^(7/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(c) + (2/7*I + 2/7)*sqrt(2)*a*b*d^2*n*x^(7/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(x) - (8/343*I - 8/343)*sqrt(2)*b^2*d^2*n^2*x^(7/2)*sqrt(abs(d))*sin(1/4*pi*sgn(d)) + (4/49*I - 4/49)*sqrt(2)*b^2*d^2*n*x^(7/2)*sqrt(abs(d))*log(c)*sin(1/4*pi*sgn(d)) - (2/7*I - 2/7)*sqrt(2)*a*b*d^2*n*x^(7/2)*sqrt(abs(d))*log(x)*sin(1/4*pi*sgn(d)) - (4/49*I + 4/49)*sqrt(2)*a*b*d^2*n*x^(7/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d)) + (4/49*I - 4/49)*sqrt(2)*a*b*d^2*n*x^(7/2)*sqrt(abs(d))*sin(1/4*pi*sgn(d)) + 2/7*b^2*d^(5/2)*x^(7/2)*log(c)^2 + 4/7*a*b*d^(5/2)*x^(7/2)*log(c) + 2/7*a^2*d^(5/2)*x^(7/2)","C",0
96,1,386,0,1.424918," ","integrate((d*x)^(3/2)*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","-\frac{1}{125} \, {\left(-\left(25 i + 25\right) \, \sqrt{2} b^{2} n^{2} x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(x\right)^{2} + \left(25 i - 25\right) \, \sqrt{2} b^{2} n^{2} x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \log\left(x\right)^{2} \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(20 i + 20\right) \, \sqrt{2} b^{2} n^{2} x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(x\right) - \left(50 i + 50\right) \, \sqrt{2} b^{2} n x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(c\right) \log\left(x\right) - \left(20 i - 20\right) \, \sqrt{2} b^{2} n^{2} x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \log\left(x\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(50 i - 50\right) \, \sqrt{2} b^{2} n x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \log\left(c\right) \log\left(x\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(8 i + 8\right) \, \sqrt{2} b^{2} n^{2} x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(20 i + 20\right) \, \sqrt{2} b^{2} n x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(c\right) - \left(50 i + 50\right) \, \sqrt{2} a b n x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(x\right) + \left(8 i - 8\right) \, \sqrt{2} b^{2} n^{2} x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(20 i - 20\right) \, \sqrt{2} b^{2} n x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \log\left(c\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(50 i - 50\right) \, \sqrt{2} a b n x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \log\left(x\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(20 i + 20\right) \, \sqrt{2} a b n x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(20 i - 20\right) \, \sqrt{2} a b n x^{\frac{5}{2}} \sqrt{{\left| d \right|}} \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - 50 \, b^{2} \sqrt{d} x^{\frac{5}{2}} \log\left(c\right)^{2} - 100 \, a b \sqrt{d} x^{\frac{5}{2}} \log\left(c\right) - 50 \, a^{2} \sqrt{d} x^{\frac{5}{2}}\right)} d"," ",0,"-1/125*(-(25*I + 25)*sqrt(2)*b^2*n^2*x^(5/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(x)^2 + (25*I - 25)*sqrt(2)*b^2*n^2*x^(5/2)*sqrt(abs(d))*log(x)^2*sin(1/4*pi*sgn(d)) + (20*I + 20)*sqrt(2)*b^2*n^2*x^(5/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(x) - (50*I + 50)*sqrt(2)*b^2*n*x^(5/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(c)*log(x) - (20*I - 20)*sqrt(2)*b^2*n^2*x^(5/2)*sqrt(abs(d))*log(x)*sin(1/4*pi*sgn(d)) + (50*I - 50)*sqrt(2)*b^2*n*x^(5/2)*sqrt(abs(d))*log(c)*log(x)*sin(1/4*pi*sgn(d)) - (8*I + 8)*sqrt(2)*b^2*n^2*x^(5/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d)) + (20*I + 20)*sqrt(2)*b^2*n*x^(5/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(c) - (50*I + 50)*sqrt(2)*a*b*n*x^(5/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(x) + (8*I - 8)*sqrt(2)*b^2*n^2*x^(5/2)*sqrt(abs(d))*sin(1/4*pi*sgn(d)) - (20*I - 20)*sqrt(2)*b^2*n*x^(5/2)*sqrt(abs(d))*log(c)*sin(1/4*pi*sgn(d)) + (50*I - 50)*sqrt(2)*a*b*n*x^(5/2)*sqrt(abs(d))*log(x)*sin(1/4*pi*sgn(d)) + (20*I + 20)*sqrt(2)*a*b*n*x^(5/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d)) - (20*I - 20)*sqrt(2)*a*b*n*x^(5/2)*sqrt(abs(d))*sin(1/4*pi*sgn(d)) - 50*b^2*sqrt(d)*x^(5/2)*log(c)^2 - 100*a*b*sqrt(d)*x^(5/2)*log(c) - 50*a^2*sqrt(d)*x^(5/2))*d","C",0
97,1,383,0,1.283007," ","integrate((d*x)^(1/2)*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\left(\frac{1}{3} i + \frac{1}{3}\right) \, \sqrt{2} b^{2} n^{2} x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(x\right)^{2} - \left(\frac{1}{3} i - \frac{1}{3}\right) \, \sqrt{2} b^{2} n^{2} x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \log\left(x\right)^{2} \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(\frac{4}{9} i + \frac{4}{9}\right) \, \sqrt{2} b^{2} n^{2} x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(x\right) + \left(\frac{2}{3} i + \frac{2}{3}\right) \, \sqrt{2} b^{2} n x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(c\right) \log\left(x\right) + \left(\frac{4}{9} i - \frac{4}{9}\right) \, \sqrt{2} b^{2} n^{2} x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \log\left(x\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(\frac{2}{3} i - \frac{2}{3}\right) \, \sqrt{2} b^{2} n x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \log\left(c\right) \log\left(x\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(\frac{8}{27} i + \frac{8}{27}\right) \, \sqrt{2} b^{2} n^{2} x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(\frac{4}{9} i + \frac{4}{9}\right) \, \sqrt{2} b^{2} n x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(c\right) + \left(\frac{2}{3} i + \frac{2}{3}\right) \, \sqrt{2} a b n x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) \log\left(x\right) - \left(\frac{8}{27} i - \frac{8}{27}\right) \, \sqrt{2} b^{2} n^{2} x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(\frac{4}{9} i - \frac{4}{9}\right) \, \sqrt{2} b^{2} n x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \log\left(c\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(\frac{2}{3} i - \frac{2}{3}\right) \, \sqrt{2} a b n x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \log\left(x\right) \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) - \left(\frac{4}{9} i + \frac{4}{9}\right) \, \sqrt{2} a b n x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \cos\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \left(\frac{4}{9} i - \frac{4}{9}\right) \, \sqrt{2} a b n x^{\frac{3}{2}} \sqrt{{\left| d \right|}} \sin\left(\frac{1}{4} \, \pi \mathrm{sgn}\left(d\right)\right) + \frac{2}{3} \, b^{2} \sqrt{d} x^{\frac{3}{2}} \log\left(c\right)^{2} + \frac{4}{3} \, a b \sqrt{d} x^{\frac{3}{2}} \log\left(c\right) + \frac{2}{3} \, a^{2} \sqrt{d} x^{\frac{3}{2}}"," ",0,"(1/3*I + 1/3)*sqrt(2)*b^2*n^2*x^(3/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(x)^2 - (1/3*I - 1/3)*sqrt(2)*b^2*n^2*x^(3/2)*sqrt(abs(d))*log(x)^2*sin(1/4*pi*sgn(d)) - (4/9*I + 4/9)*sqrt(2)*b^2*n^2*x^(3/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(x) + (2/3*I + 2/3)*sqrt(2)*b^2*n*x^(3/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(c)*log(x) + (4/9*I - 4/9)*sqrt(2)*b^2*n^2*x^(3/2)*sqrt(abs(d))*log(x)*sin(1/4*pi*sgn(d)) - (2/3*I - 2/3)*sqrt(2)*b^2*n*x^(3/2)*sqrt(abs(d))*log(c)*log(x)*sin(1/4*pi*sgn(d)) + (8/27*I + 8/27)*sqrt(2)*b^2*n^2*x^(3/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d)) - (4/9*I + 4/9)*sqrt(2)*b^2*n*x^(3/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(c) + (2/3*I + 2/3)*sqrt(2)*a*b*n*x^(3/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d))*log(x) - (8/27*I - 8/27)*sqrt(2)*b^2*n^2*x^(3/2)*sqrt(abs(d))*sin(1/4*pi*sgn(d)) + (4/9*I - 4/9)*sqrt(2)*b^2*n*x^(3/2)*sqrt(abs(d))*log(c)*sin(1/4*pi*sgn(d)) - (2/3*I - 2/3)*sqrt(2)*a*b*n*x^(3/2)*sqrt(abs(d))*log(x)*sin(1/4*pi*sgn(d)) - (4/9*I + 4/9)*sqrt(2)*a*b*n*x^(3/2)*sqrt(abs(d))*cos(1/4*pi*sgn(d)) + (4/9*I - 4/9)*sqrt(2)*a*b*n*x^(3/2)*sqrt(abs(d))*sin(1/4*pi*sgn(d)) + 2/3*b^2*sqrt(d)*x^(3/2)*log(c)^2 + 4/3*a*b*sqrt(d)*x^(3/2)*log(c) + 2/3*a^2*sqrt(d)*x^(3/2)","C",0
98,1,118,0,0.426958," ","integrate((a+b*log(c*x^n))^2/(d*x)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(\sqrt{d x} \log\left(x\right)^{2} - 4 \, \sqrt{d x} \log\left(x\right) + 8 \, \sqrt{d x}\right)} b^{2} n^{2} + 2 \, {\left(\sqrt{d x} \log\left(x\right) - 2 \, \sqrt{d x}\right)} b^{2} n \log\left(c\right) + \sqrt{d x} b^{2} \log\left(c\right)^{2} + 2 \, {\left(\sqrt{d x} \log\left(x\right) - 2 \, \sqrt{d x}\right)} a b n + 2 \, \sqrt{d x} a b \log\left(c\right) + \sqrt{d x} a^{2}\right)}}{d}"," ",0,"2*((sqrt(d*x)*log(x)^2 - 4*sqrt(d*x)*log(x) + 8*sqrt(d*x))*b^2*n^2 + 2*(sqrt(d*x)*log(x) - 2*sqrt(d*x))*b^2*n*log(c) + sqrt(d*x)*b^2*log(c)^2 + 2*(sqrt(d*x)*log(x) - 2*sqrt(d*x))*a*b*n + 2*sqrt(d*x)*a*b*log(c) + sqrt(d*x)*a^2)/d","A",0
99,1,149,0,0.409124," ","integrate((a+b*log(c*x^n))^2/(d*x)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{b^{2} n^{2} \log\left(d x\right)^{2}}{\sqrt{d x}} - \frac{2 \, {\left(b^{2} n^{2} \log\left(d\right) - 2 \, b^{2} n^{2} - b^{2} n \log\left(c\right) - a b n\right)} \log\left(d x\right)}{\sqrt{d x}} + \frac{b^{2} n^{2} \log\left(d\right)^{2} - 4 \, b^{2} n^{2} \log\left(d\right) - 2 \, b^{2} n \log\left(c\right) \log\left(d\right) + 8 \, b^{2} n^{2} + 4 \, b^{2} n \log\left(c\right) + b^{2} \log\left(c\right)^{2} - 2 \, a b n \log\left(d\right) + 4 \, a b n + 2 \, a b \log\left(c\right) + a^{2}}{\sqrt{d x}}\right)}}{d}"," ",0,"-2*(b^2*n^2*log(d*x)^2/sqrt(d*x) - 2*(b^2*n^2*log(d) - 2*b^2*n^2 - b^2*n*log(c) - a*b*n)*log(d*x)/sqrt(d*x) + (b^2*n^2*log(d)^2 - 4*b^2*n^2*log(d) - 2*b^2*n*log(c)*log(d) + 8*b^2*n^2 + 4*b^2*n*log(c) + b^2*log(c)^2 - 2*a*b*n*log(d) + 4*a*b*n + 2*a*b*log(c) + a^2)/sqrt(d*x))/d","B",0
100,1,213,0,0.406749," ","integrate((a+b*log(c*x^n))^2/(d*x)^(5/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{9 \, b^{2} d n^{2} \log\left(d x\right)^{2}}{\sqrt{d x} x} - \frac{6 \, {\left(3 \, b^{2} d^{2} n^{2} \log\left(d\right) - 2 \, b^{2} d^{2} n^{2} - 3 \, b^{2} d^{2} n \log\left(c\right) - 3 \, a b d^{2} n\right)} \log\left(d x\right)}{\sqrt{d x} d x} + \frac{9 \, b^{2} d^{2} n^{2} \log\left(d\right)^{2} - 12 \, b^{2} d^{2} n^{2} \log\left(d\right) - 18 \, b^{2} d^{2} n \log\left(c\right) \log\left(d\right) + 8 \, b^{2} d^{2} n^{2} + 12 \, b^{2} d^{2} n \log\left(c\right) + 9 \, b^{2} d^{2} \log\left(c\right)^{2} - 18 \, a b d^{2} n \log\left(d\right) + 12 \, a b d^{2} n + 18 \, a b d^{2} \log\left(c\right) + 9 \, a^{2} d^{2}}{\sqrt{d x} d x}\right)}}{27 \, d^{3}}"," ",0,"-2/27*(9*b^2*d*n^2*log(d*x)^2/(sqrt(d*x)*x) - 6*(3*b^2*d^2*n^2*log(d) - 2*b^2*d^2*n^2 - 3*b^2*d^2*n*log(c) - 3*a*b*d^2*n)*log(d*x)/(sqrt(d*x)*d*x) + (9*b^2*d^2*n^2*log(d)^2 - 12*b^2*d^2*n^2*log(d) - 18*b^2*d^2*n*log(c)*log(d) + 8*b^2*d^2*n^2 + 12*b^2*d^2*n*log(c) + 9*b^2*d^2*log(c)^2 - 18*a*b*d^2*n*log(d) + 12*a*b*d^2*n + 18*a*b*d^2*log(c) + 9*a^2*d^2)/(sqrt(d*x)*d*x))/d^3","B",0
101,0,0,0,0.000000," ","integrate((d*x)^(5/2)/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{\left(d x\right)^{\frac{5}{2}}}{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate((d*x)^(5/2)/(b*log(c*x^n) + a), x)","F",0
102,0,0,0,0.000000," ","integrate((d*x)^(3/2)/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{\left(d x\right)^{\frac{3}{2}}}{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate((d*x)^(3/2)/(b*log(c*x^n) + a), x)","F",0
103,0,0,0,0.000000," ","integrate((d*x)^(1/2)/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{\sqrt{d x}}{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate(sqrt(d*x)/(b*log(c*x^n) + a), x)","F",0
104,0,0,0,0.000000," ","integrate(1/(d*x)^(1/2)/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{1}{\sqrt{d x} {\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x)*(b*log(c*x^n) + a)), x)","F",0
105,1,49,0,0.388906," ","integrate(1/(d*x)^(3/2)/(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{c^{\frac{1}{2 \, n}} {\rm Ei}\left(-\frac{\log\left(c\right)}{2 \, n} - \frac{a}{2 \, b n} - \frac{1}{2} \, \log\left(x\right)\right) e^{\left(\frac{a}{2 \, b n}\right)}}{b d^{\frac{3}{2}} n}"," ",0,"c^(1/2/n)*Ei(-1/2*log(c)/n - 1/2*a/(b*n) - 1/2*log(x))*e^(1/2*a/(b*n))/(b*d^(3/2)*n)","A",0
106,0,0,0,0.000000," ","integrate(1/(d*x)^(5/2)/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{1}{\left(d x\right)^{\frac{5}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}}\,{d x}"," ",0,"integrate(1/((d*x)^(5/2)*(b*log(c*x^n) + a)), x)","F",0
107,0,0,0,0.000000," ","integrate((d*x)^(5/2)/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \frac{\left(d x\right)^{\frac{5}{2}}}{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x)^(5/2)/(b*log(c*x^n) + a)^2, x)","F",0
108,0,0,0,0.000000," ","integrate((d*x)^(3/2)/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \frac{\left(d x\right)^{\frac{3}{2}}}{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x)^(3/2)/(b*log(c*x^n) + a)^2, x)","F",0
109,0,0,0,0.000000," ","integrate((d*x)^(1/2)/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \frac{\sqrt{d x}}{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(d*x)/(b*log(c*x^n) + a)^2, x)","F",0
110,0,0,0,0.000000," ","integrate(1/(d*x)^(1/2)/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \frac{1}{\sqrt{d x} {\left(b \log\left(c x^{n}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(d*x)*(b*log(c*x^n) + a)^2), x)","F",0
111,1,293,0,0.428146," ","integrate(1/(d*x)^(3/2)/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","-\frac{\frac{b c^{\frac{1}{2 \, n}} n {\rm Ei}\left(-\frac{\log\left(c\right)}{2 \, n} - \frac{a}{2 \, b n} - \frac{1}{2} \, \log\left(x\right)\right) e^{\left(\frac{a}{2 \, b n}\right)} \log\left(x\right)}{b^{3} \sqrt{d} n^{3} \log\left(x\right) + b^{3} \sqrt{d} n^{2} \log\left(c\right) + a b^{2} \sqrt{d} n^{2}} + \frac{b c^{\frac{1}{2 \, n}} {\rm Ei}\left(-\frac{\log\left(c\right)}{2 \, n} - \frac{a}{2 \, b n} - \frac{1}{2} \, \log\left(x\right)\right) e^{\left(\frac{a}{2 \, b n}\right)} \log\left(c\right)}{b^{3} \sqrt{d} n^{3} \log\left(x\right) + b^{3} \sqrt{d} n^{2} \log\left(c\right) + a b^{2} \sqrt{d} n^{2}} + \frac{a c^{\frac{1}{2 \, n}} {\rm Ei}\left(-\frac{\log\left(c\right)}{2 \, n} - \frac{a}{2 \, b n} - \frac{1}{2} \, \log\left(x\right)\right) e^{\left(\frac{a}{2 \, b n}\right)}}{b^{3} \sqrt{d} n^{3} \log\left(x\right) + b^{3} \sqrt{d} n^{2} \log\left(c\right) + a b^{2} \sqrt{d} n^{2}} + \frac{2 \, b n}{{\left(b^{3} \sqrt{d} n^{3} \log\left(x\right) + b^{3} \sqrt{d} n^{2} \log\left(c\right) + a b^{2} \sqrt{d} n^{2}\right)} \sqrt{x}}}{2 \, d}"," ",0,"-1/2*(b*c^(1/2/n)*n*Ei(-1/2*log(c)/n - 1/2*a/(b*n) - 1/2*log(x))*e^(1/2*a/(b*n))*log(x)/(b^3*sqrt(d)*n^3*log(x) + b^3*sqrt(d)*n^2*log(c) + a*b^2*sqrt(d)*n^2) + b*c^(1/2/n)*Ei(-1/2*log(c)/n - 1/2*a/(b*n) - 1/2*log(x))*e^(1/2*a/(b*n))*log(c)/(b^3*sqrt(d)*n^3*log(x) + b^3*sqrt(d)*n^2*log(c) + a*b^2*sqrt(d)*n^2) + a*c^(1/2/n)*Ei(-1/2*log(c)/n - 1/2*a/(b*n) - 1/2*log(x))*e^(1/2*a/(b*n))/(b^3*sqrt(d)*n^3*log(x) + b^3*sqrt(d)*n^2*log(c) + a*b^2*sqrt(d)*n^2) + 2*b*n/((b^3*sqrt(d)*n^3*log(x) + b^3*sqrt(d)*n^2*log(c) + a*b^2*sqrt(d)*n^2)*sqrt(x)))/d","B",0
112,0,0,0,0.000000," ","integrate(1/(d*x)^(5/2)/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \frac{1}{\left(d x\right)^{\frac{5}{2}} {\left(b \log\left(c x^{n}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*x)^(5/2)*(b*log(c*x^n) + a)^2), x)","F",0
113,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*log(c*x^n) + a), x)","F",0
114,0,0,0,0.000000," ","integrate(x^3*log(a*x^n)^(1/2),x, algorithm=""giac"")","\int x^{3} \sqrt{\log\left(a x^{n}\right)}\,{d x}"," ",0,"integrate(x^3*sqrt(log(a*x^n)), x)","F",0
115,0,0,0,0.000000," ","integrate(x^2*log(a*x^n)^(1/2),x, algorithm=""giac"")","\int x^{2} \sqrt{\log\left(a x^{n}\right)}\,{d x}"," ",0,"integrate(x^2*sqrt(log(a*x^n)), x)","F",0
116,0,0,0,0.000000," ","integrate(x*log(a*x^n)^(1/2),x, algorithm=""giac"")","\int x \sqrt{\log\left(a x^{n}\right)}\,{d x}"," ",0,"integrate(x*sqrt(log(a*x^n)), x)","F",0
117,0,0,0,0.000000," ","integrate(log(a*x^n)^(1/2),x, algorithm=""giac"")","\int \sqrt{\log\left(a x^{n}\right)}\,{d x}"," ",0,"integrate(sqrt(log(a*x^n)), x)","F",0
118,1,14,0,0.363274," ","integrate(log(a*x^n)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, {\left(n \log\left(x\right) + \log\left(a\right)\right)}^{\frac{3}{2}}}{3 \, n}"," ",0,"2/3*(n*log(x) + log(a))^(3/2)/n","A",0
119,0,0,0,0.000000," ","integrate(log(a*x^n)^(1/2)/x^2,x, algorithm=""giac"")","\int \frac{\sqrt{\log\left(a x^{n}\right)}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(log(a*x^n))/x^2, x)","F",0
120,0,0,0,0.000000," ","integrate(log(a*x^n)^(1/2)/x^3,x, algorithm=""giac"")","\int \frac{\sqrt{\log\left(a x^{n}\right)}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(log(a*x^n))/x^3, x)","F",0
121,0,0,0,0.000000," ","integrate(x^3*log(a*x^n)^(3/2),x, algorithm=""giac"")","\int x^{3} \log\left(a x^{n}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x^3*log(a*x^n)^(3/2), x)","F",0
122,0,0,0,0.000000," ","integrate(x^2*log(a*x^n)^(3/2),x, algorithm=""giac"")","\int x^{2} \log\left(a x^{n}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x^2*log(a*x^n)^(3/2), x)","F",0
123,0,0,0,0.000000," ","integrate(x*log(a*x^n)^(3/2),x, algorithm=""giac"")","\int x \log\left(a x^{n}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x*log(a*x^n)^(3/2), x)","F",0
124,0,0,0,0.000000," ","integrate(log(a*x^n)^(3/2),x, algorithm=""giac"")","\int \log\left(a x^{n}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(log(a*x^n)^(3/2), x)","F",0
125,1,72,0,0.404580," ","integrate(log(a*x^n)^(3/2)/x,x, algorithm=""giac"")","\frac{2 \, {\left(3 \, {\left(n \log\left(x\right) + \log\left(a\right)\right)}^{\frac{5}{2}} - 10 \, {\left(n \log\left(x\right) + \log\left(a\right)\right)}^{\frac{3}{2}} \log\left(a\right) + 30 \, \sqrt{n \log\left(x\right) + \log\left(a\right)} \log\left(a\right)^{2} + 10 \, {\left({\left(n \log\left(x\right) + \log\left(a\right)\right)}^{\frac{3}{2}} - 3 \, \sqrt{n \log\left(x\right) + \log\left(a\right)} \log\left(a\right)\right)} \log\left(a\right)\right)}}{15 \, n}"," ",0,"2/15*(3*(n*log(x) + log(a))^(5/2) - 10*(n*log(x) + log(a))^(3/2)*log(a) + 30*sqrt(n*log(x) + log(a))*log(a)^2 + 10*((n*log(x) + log(a))^(3/2) - 3*sqrt(n*log(x) + log(a))*log(a))*log(a))/n","B",0
126,0,0,0,0.000000," ","integrate(log(a*x^n)^(3/2)/x^2,x, algorithm=""giac"")","\int \frac{\log\left(a x^{n}\right)^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate(log(a*x^n)^(3/2)/x^2, x)","F",0
127,0,0,0,0.000000," ","integrate(log(a*x^n)^(3/2)/x^3,x, algorithm=""giac"")","\int \frac{\log\left(a x^{n}\right)^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate(log(a*x^n)^(3/2)/x^3, x)","F",0
128,0,0,0,0.000000," ","integrate(x^3/log(a*x^n)^(1/2),x, algorithm=""giac"")","\int \frac{x^{3}}{\sqrt{\log\left(a x^{n}\right)}}\,{d x}"," ",0,"integrate(x^3/sqrt(log(a*x^n)), x)","F",0
129,0,0,0,0.000000," ","integrate(x^2/log(a*x^n)^(1/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\sqrt{\log\left(a x^{n}\right)}}\,{d x}"," ",0,"integrate(x^2/sqrt(log(a*x^n)), x)","F",0
130,0,0,0,0.000000," ","integrate(x/log(a*x^n)^(1/2),x, algorithm=""giac"")","\int \frac{x}{\sqrt{\log\left(a x^{n}\right)}}\,{d x}"," ",0,"integrate(x/sqrt(log(a*x^n)), x)","F",0
131,0,0,0,0.000000," ","integrate(1/log(a*x^n)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{\log\left(a x^{n}\right)}}\,{d x}"," ",0,"integrate(1/sqrt(log(a*x^n)), x)","F",0
132,1,14,0,0.208727," ","integrate(1/x/log(a*x^n)^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{n \log\left(x\right) + \log\left(a\right)}}{n}"," ",0,"2*sqrt(n*log(x) + log(a))/n","A",0
133,0,0,0,0.000000," ","integrate(1/x^2/log(a*x^n)^(1/2),x, algorithm=""giac"")","\int \frac{1}{x^{2} \sqrt{\log\left(a x^{n}\right)}}\,{d x}"," ",0,"integrate(1/(x^2*sqrt(log(a*x^n))), x)","F",0
134,0,0,0,0.000000," ","integrate(1/x^3/log(a*x^n)^(1/2),x, algorithm=""giac"")","\int \frac{1}{x^{3} \sqrt{\log\left(a x^{n}\right)}}\,{d x}"," ",0,"integrate(1/(x^3*sqrt(log(a*x^n))), x)","F",0
135,0,0,0,0.000000," ","integrate(x^3/log(a*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{x^{3}}{\log\left(a x^{n}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/log(a*x^n)^(3/2), x)","F",0
136,0,0,0,0.000000," ","integrate(x^2/log(a*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\log\left(a x^{n}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/log(a*x^n)^(3/2), x)","F",0
137,0,0,0,0.000000," ","integrate(x/log(a*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{x}{\log\left(a x^{n}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/log(a*x^n)^(3/2), x)","F",0
138,0,0,0,0.000000," ","integrate(1/log(a*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\log\left(a x^{n}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(log(a*x^n)^(-3/2), x)","F",0
139,1,14,0,0.270629," ","integrate(1/x/log(a*x^n)^(3/2),x, algorithm=""giac"")","-\frac{2}{\sqrt{n \log\left(x\right) + \log\left(a\right)} n}"," ",0,"-2/(sqrt(n*log(x) + log(a))*n)","A",0
140,0,0,0,0.000000," ","integrate(1/x^2/log(a*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{1}{x^{2} \log\left(a x^{n}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x^2*log(a*x^n)^(3/2)), x)","F",0
141,0,0,0,0.000000," ","integrate(1/x^3/log(a*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{1}{x^{3} \log\left(a x^{n}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(x^3*log(a*x^n)^(3/2)), x)","F",0
142,0,0,0,0.000000," ","integrate(x^3/log(a*x^n)^(5/2),x, algorithm=""giac"")","\int \frac{x^{3}}{\log\left(a x^{n}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^3/log(a*x^n)^(5/2), x)","F",0
143,0,0,0,0.000000," ","integrate(x^2/log(a*x^n)^(5/2),x, algorithm=""giac"")","\int \frac{x^{2}}{\log\left(a x^{n}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^2/log(a*x^n)^(5/2), x)","F",0
144,0,0,0,0.000000," ","integrate(x/log(a*x^n)^(5/2),x, algorithm=""giac"")","\int \frac{x}{\log\left(a x^{n}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x/log(a*x^n)^(5/2), x)","F",0
145,0,0,0,0.000000," ","integrate(1/log(a*x^n)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\log\left(a x^{n}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(log(a*x^n)^(-5/2), x)","F",0
146,1,14,0,0.253982," ","integrate(1/x/log(a*x^n)^(5/2),x, algorithm=""giac"")","-\frac{2}{3 \, {\left(n \log\left(x\right) + \log\left(a\right)\right)}^{\frac{3}{2}} n}"," ",0,"-2/3/((n*log(x) + log(a))^(3/2)*n)","A",0
147,0,0,0,0.000000," ","integrate(1/x^2/log(a*x^n)^(5/2),x, algorithm=""giac"")","\int \frac{1}{x^{2} \log\left(a x^{n}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x^2*log(a*x^n)^(5/2)), x)","F",0
148,0,0,0,0.000000," ","integrate(1/x^3/log(a*x^n)^(5/2),x, algorithm=""giac"")","\int \frac{1}{x^{3} \log\left(a x^{n}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(x^3*log(a*x^n)^(5/2)), x)","F",0
149,1,214,0,0.460413," ","integrate((d*x)^m*(a+a*(1+m)*log(c*x^n)/n),x, algorithm=""giac"")","\frac{a d^{2} \frac{1}{d}^{m} m x x^{m} {\left| d \right|}^{2 \, m} \log\left(c\right)}{{\left(d^{2} m + d^{2}\right)} n} + \frac{a d^{2} \frac{1}{d}^{m} x x^{m} {\left| d \right|}^{2 \, m}}{d^{2} m + d^{2}} + \frac{a d^{2} \frac{1}{d}^{m} x x^{m} {\left| d \right|}^{2 \, m} \log\left(c\right)}{{\left(d^{2} m + d^{2}\right)} n} + \frac{a d^{m} m^{2} x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{2 \, a d^{m} m x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{a d^{m} m x x^{m}}{m^{2} + 2 \, m + 1} + \frac{a d^{m} x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{a d^{m} x x^{m}}{m^{2} + 2 \, m + 1}"," ",0,"a*d^2*(1/d)^m*m*x*x^m*abs(d)^(2*m)*log(c)/((d^2*m + d^2)*n) + a*d^2*(1/d)^m*x*x^m*abs(d)^(2*m)/(d^2*m + d^2) + a*d^2*(1/d)^m*x*x^m*abs(d)^(2*m)*log(c)/((d^2*m + d^2)*n) + a*d^m*m^2*x*x^m*log(x)/(m^2 + 2*m + 1) + 2*a*d^m*m*x*x^m*log(x)/(m^2 + 2*m + 1) - a*d^m*m*x*x^m/(m^2 + 2*m + 1) + a*d^m*x*x^m*log(x)/(m^2 + 2*m + 1) - a*d^m*x*x^m/(m^2 + 2*m + 1)","B",0
150,1,1133,0,0.847351," ","integrate((d*x)^m*(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\frac{b^{3} d^{m} m^{3} n^{3} x x^{m} \log\left(x\right)^{3}}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1} + \frac{3 \, b^{3} d^{m} m^{2} n^{3} x x^{m} \log\left(x\right)^{3}}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1} - \frac{3 \, b^{3} d^{m} m^{2} n^{3} x x^{m} \log\left(x\right)^{2}}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1} + \frac{3 \, b^{3} d^{m} m^{2} n^{2} x x^{m} \log\left(c\right) \log\left(x\right)^{2}}{m^{3} + 3 \, m^{2} + 3 \, m + 1} + \frac{3 \, b^{3} d^{m} m n^{3} x x^{m} \log\left(x\right)^{3}}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1} + \frac{3 \, a b^{2} d^{m} m^{2} n^{2} x x^{m} \log\left(x\right)^{2}}{m^{3} + 3 \, m^{2} + 3 \, m + 1} - \frac{6 \, b^{3} d^{m} m n^{3} x x^{m} \log\left(x\right)^{2}}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1} + \frac{6 \, b^{3} d^{m} m n^{2} x x^{m} \log\left(c\right) \log\left(x\right)^{2}}{m^{3} + 3 \, m^{2} + 3 \, m + 1} + \frac{b^{3} d^{m} n^{3} x x^{m} \log\left(x\right)^{3}}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1} + \frac{6 \, b^{3} d^{m} m n^{3} x x^{m} \log\left(x\right)}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1} - \frac{6 \, b^{3} d^{m} m n^{2} x x^{m} \log\left(c\right) \log\left(x\right)}{m^{3} + 3 \, m^{2} + 3 \, m + 1} + \frac{3 \, b^{3} d^{m} m n x x^{m} \log\left(c\right)^{2} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{6 \, a b^{2} d^{m} m n^{2} x x^{m} \log\left(x\right)^{2}}{m^{3} + 3 \, m^{2} + 3 \, m + 1} - \frac{3 \, b^{3} d^{m} n^{3} x x^{m} \log\left(x\right)^{2}}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1} + \frac{3 \, b^{3} d^{m} n^{2} x x^{m} \log\left(c\right) \log\left(x\right)^{2}}{m^{3} + 3 \, m^{2} + 3 \, m + 1} - \frac{6 \, a b^{2} d^{m} m n^{2} x x^{m} \log\left(x\right)}{m^{3} + 3 \, m^{2} + 3 \, m + 1} + \frac{6 \, b^{3} d^{m} n^{3} x x^{m} \log\left(x\right)}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1} + \frac{6 \, a b^{2} d^{m} m n x x^{m} \log\left(c\right) \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{6 \, b^{3} d^{m} n^{2} x x^{m} \log\left(c\right) \log\left(x\right)}{m^{3} + 3 \, m^{2} + 3 \, m + 1} + \frac{3 \, b^{3} d^{m} n x x^{m} \log\left(c\right)^{2} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{3 \, a b^{2} d^{m} n^{2} x x^{m} \log\left(x\right)^{2}}{m^{3} + 3 \, m^{2} + 3 \, m + 1} - \frac{6 \, b^{3} d^{m} n^{3} x x^{m}}{m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1} + \frac{6 \, b^{3} d^{m} n^{2} x x^{m} \log\left(c\right)}{m^{3} + 3 \, m^{2} + 3 \, m + 1} - \frac{3 \, b^{3} d^{m} n x x^{m} \log\left(c\right)^{2}}{m^{2} + 2 \, m + 1} + \frac{3 \, a^{2} b d^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{6 \, a b^{2} d^{m} n^{2} x x^{m} \log\left(x\right)}{m^{3} + 3 \, m^{2} + 3 \, m + 1} + \frac{6 \, a b^{2} d^{m} n x x^{m} \log\left(c\right) \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{6 \, a b^{2} d^{m} n^{2} x x^{m}}{m^{3} + 3 \, m^{2} + 3 \, m + 1} - \frac{6 \, a b^{2} d^{m} n x x^{m} \log\left(c\right)}{m^{2} + 2 \, m + 1} + \frac{\left(d x\right)^{m} b^{3} x \log\left(c\right)^{3}}{m + 1} + \frac{3 \, a^{2} b d^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{3 \, a^{2} b d^{m} n x x^{m}}{m^{2} + 2 \, m + 1} + \frac{3 \, \left(d x\right)^{m} a b^{2} x \log\left(c\right)^{2}}{m + 1} + \frac{3 \, \left(d x\right)^{m} a^{2} b x \log\left(c\right)}{m + 1} + \frac{\left(d x\right)^{m} a^{3} x}{m + 1}"," ",0,"b^3*d^m*m^3*n^3*x*x^m*log(x)^3/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1) + 3*b^3*d^m*m^2*n^3*x*x^m*log(x)^3/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1) - 3*b^3*d^m*m^2*n^3*x*x^m*log(x)^2/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1) + 3*b^3*d^m*m^2*n^2*x*x^m*log(c)*log(x)^2/(m^3 + 3*m^2 + 3*m + 1) + 3*b^3*d^m*m*n^3*x*x^m*log(x)^3/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1) + 3*a*b^2*d^m*m^2*n^2*x*x^m*log(x)^2/(m^3 + 3*m^2 + 3*m + 1) - 6*b^3*d^m*m*n^3*x*x^m*log(x)^2/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1) + 6*b^3*d^m*m*n^2*x*x^m*log(c)*log(x)^2/(m^3 + 3*m^2 + 3*m + 1) + b^3*d^m*n^3*x*x^m*log(x)^3/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1) + 6*b^3*d^m*m*n^3*x*x^m*log(x)/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1) - 6*b^3*d^m*m*n^2*x*x^m*log(c)*log(x)/(m^3 + 3*m^2 + 3*m + 1) + 3*b^3*d^m*m*n*x*x^m*log(c)^2*log(x)/(m^2 + 2*m + 1) + 6*a*b^2*d^m*m*n^2*x*x^m*log(x)^2/(m^3 + 3*m^2 + 3*m + 1) - 3*b^3*d^m*n^3*x*x^m*log(x)^2/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1) + 3*b^3*d^m*n^2*x*x^m*log(c)*log(x)^2/(m^3 + 3*m^2 + 3*m + 1) - 6*a*b^2*d^m*m*n^2*x*x^m*log(x)/(m^3 + 3*m^2 + 3*m + 1) + 6*b^3*d^m*n^3*x*x^m*log(x)/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1) + 6*a*b^2*d^m*m*n*x*x^m*log(c)*log(x)/(m^2 + 2*m + 1) - 6*b^3*d^m*n^2*x*x^m*log(c)*log(x)/(m^3 + 3*m^2 + 3*m + 1) + 3*b^3*d^m*n*x*x^m*log(c)^2*log(x)/(m^2 + 2*m + 1) + 3*a*b^2*d^m*n^2*x*x^m*log(x)^2/(m^3 + 3*m^2 + 3*m + 1) - 6*b^3*d^m*n^3*x*x^m/(m^4 + 4*m^3 + 6*m^2 + 4*m + 1) + 6*b^3*d^m*n^2*x*x^m*log(c)/(m^3 + 3*m^2 + 3*m + 1) - 3*b^3*d^m*n*x*x^m*log(c)^2/(m^2 + 2*m + 1) + 3*a^2*b*d^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - 6*a*b^2*d^m*n^2*x*x^m*log(x)/(m^3 + 3*m^2 + 3*m + 1) + 6*a*b^2*d^m*n*x*x^m*log(c)*log(x)/(m^2 + 2*m + 1) + 6*a*b^2*d^m*n^2*x*x^m/(m^3 + 3*m^2 + 3*m + 1) - 6*a*b^2*d^m*n*x*x^m*log(c)/(m^2 + 2*m + 1) + (d*x)^m*b^3*x*log(c)^3/(m + 1) + 3*a^2*b*d^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - 3*a^2*b*d^m*n*x*x^m/(m^2 + 2*m + 1) + 3*(d*x)^m*a*b^2*x*log(c)^2/(m + 1) + 3*(d*x)^m*a^2*b*x*log(c)/(m + 1) + (d*x)^m*a^3*x/(m + 1)","B",0
151,1,402,0,0.407622," ","integrate((d*x)^m*(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\frac{b^{2} d^{m} m^{2} n^{2} x x^{m} \log\left(x\right)^{2}}{m^{3} + 3 \, m^{2} + 3 \, m + 1} + \frac{2 \, b^{2} d^{m} m n^{2} x x^{m} \log\left(x\right)^{2}}{m^{3} + 3 \, m^{2} + 3 \, m + 1} - \frac{2 \, b^{2} d^{m} m n^{2} x x^{m} \log\left(x\right)}{m^{3} + 3 \, m^{2} + 3 \, m + 1} + \frac{2 \, b^{2} d^{m} m n x x^{m} \log\left(c\right) \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{b^{2} d^{m} n^{2} x x^{m} \log\left(x\right)^{2}}{m^{3} + 3 \, m^{2} + 3 \, m + 1} + \frac{2 \, a b d^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{2 \, b^{2} d^{m} n^{2} x x^{m} \log\left(x\right)}{m^{3} + 3 \, m^{2} + 3 \, m + 1} + \frac{2 \, b^{2} d^{m} n x x^{m} \log\left(c\right) \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{2 \, b^{2} d^{m} n^{2} x x^{m}}{m^{3} + 3 \, m^{2} + 3 \, m + 1} - \frac{2 \, b^{2} d^{m} n x x^{m} \log\left(c\right)}{m^{2} + 2 \, m + 1} + \frac{2 \, a b d^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{2 \, a b d^{m} n x x^{m}}{m^{2} + 2 \, m + 1} + \frac{\left(d x\right)^{m} b^{2} x \log\left(c\right)^{2}}{m + 1} + \frac{2 \, \left(d x\right)^{m} a b x \log\left(c\right)}{m + 1} + \frac{\left(d x\right)^{m} a^{2} x}{m + 1}"," ",0,"b^2*d^m*m^2*n^2*x*x^m*log(x)^2/(m^3 + 3*m^2 + 3*m + 1) + 2*b^2*d^m*m*n^2*x*x^m*log(x)^2/(m^3 + 3*m^2 + 3*m + 1) - 2*b^2*d^m*m*n^2*x*x^m*log(x)/(m^3 + 3*m^2 + 3*m + 1) + 2*b^2*d^m*m*n*x*x^m*log(c)*log(x)/(m^2 + 2*m + 1) + b^2*d^m*n^2*x*x^m*log(x)^2/(m^3 + 3*m^2 + 3*m + 1) + 2*a*b*d^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - 2*b^2*d^m*n^2*x*x^m*log(x)/(m^3 + 3*m^2 + 3*m + 1) + 2*b^2*d^m*n*x*x^m*log(c)*log(x)/(m^2 + 2*m + 1) + 2*b^2*d^m*n^2*x*x^m/(m^3 + 3*m^2 + 3*m + 1) - 2*b^2*d^m*n*x*x^m*log(c)/(m^2 + 2*m + 1) + 2*a*b*d^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - 2*a*b*d^m*n*x*x^m/(m^2 + 2*m + 1) + (d*x)^m*b^2*x*log(c)^2/(m + 1) + 2*(d*x)^m*a*b*x*log(c)/(m + 1) + (d*x)^m*a^2*x/(m + 1)","B",0
152,1,95,0,0.324467," ","integrate((d*x)^m*(a+b*log(c*x^n)),x, algorithm=""giac"")","\frac{b d^{m} m n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} + \frac{b d^{m} n x x^{m} \log\left(x\right)}{m^{2} + 2 \, m + 1} - \frac{b d^{m} n x x^{m}}{m^{2} + 2 \, m + 1} + \frac{\left(d x\right)^{m} b x \log\left(c\right)}{m + 1} + \frac{\left(d x\right)^{m} a x}{m + 1}"," ",0,"b*d^m*m*n*x*x^m*log(x)/(m^2 + 2*m + 1) + b*d^m*n*x*x^m*log(x)/(m^2 + 2*m + 1) - b*d^m*n*x*x^m/(m^2 + 2*m + 1) + (d*x)^m*b*x*log(c)/(m + 1) + (d*x)^m*a*x/(m + 1)","B",0
153,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*log(c*x^n)),x, algorithm=""giac"")","\int \frac{\left(d x\right)^{m}}{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate((d*x)^m/(b*log(c*x^n) + a), x)","F",0
154,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*log(c*x^n))^2,x, algorithm=""giac"")","\int \frac{\left(d x\right)^{m}}{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x)^m/(b*log(c*x^n) + a)^2, x)","F",0
155,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*log(c*x^n))^3,x, algorithm=""giac"")","\int \frac{\left(d x\right)^{m}}{{\left(b \log\left(c x^{n}\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((d*x)^m/(b*log(c*x^n) + a)^3, x)","F",0
156,1,170,0,0.533302," ","integrate((d*x)^(-1+n)*log(c*x^n)^3,x, algorithm=""giac"")","\frac{d^{n} n^{2} x^{n} \log\left(x\right)^{3}}{d} + \frac{3 \, d^{n} n x^{n} \log\left(c\right) \log\left(x\right)^{2}}{d} + \frac{\frac{1}{d}^{n} x^{n} {\left| d \right|}^{2 \, n} \log\left(c\right)^{3}}{d n} + \frac{3 \, d^{n} x^{n} \log\left(c\right)^{2} \log\left(x\right)}{d} - \frac{3 \, d^{n} n x^{n} \log\left(x\right)^{2}}{d} - \frac{6 \, d^{n} x^{n} \log\left(c\right) \log\left(x\right)}{d} - \frac{3 \, d^{n} x^{n} \log\left(c\right)^{2}}{d n} + \frac{6 \, d^{n} x^{n} \log\left(x\right)}{d} + \frac{6 \, d^{n} x^{n} \log\left(c\right)}{d n} - \frac{6 \, d^{n} x^{n}}{d n}"," ",0,"d^n*n^2*x^n*log(x)^3/d + 3*d^n*n*x^n*log(c)*log(x)^2/d + (1/d)^n*x^n*abs(d)^(2*n)*log(c)^3/(d*n) + 3*d^n*x^n*log(c)^2*log(x)/d - 3*d^n*n*x^n*log(x)^2/d - 6*d^n*x^n*log(c)*log(x)/d - 3*d^n*x^n*log(c)^2/(d*n) + 6*d^n*x^n*log(x)/d + 6*d^n*x^n*log(c)/(d*n) - 6*d^n*x^n/(d*n)","B",0
157,1,99,0,0.350151," ","integrate((d*x)^(-1+n)*log(c*x^n)^2,x, algorithm=""giac"")","\frac{d^{n} n x^{n} \log\left(x\right)^{2}}{d} + \frac{\frac{1}{d}^{n} x^{n} {\left| d \right|}^{2 \, n} \log\left(c\right)^{2}}{d n} + \frac{2 \, d^{n} x^{n} \log\left(c\right) \log\left(x\right)}{d} - \frac{2 \, d^{n} x^{n} \log\left(x\right)}{d} - \frac{2 \, d^{n} x^{n} \log\left(c\right)}{d n} + \frac{2 \, d^{n} x^{n}}{d n}"," ",0,"d^n*n*x^n*log(x)^2/d + (1/d)^n*x^n*abs(d)^(2*n)*log(c)^2/(d*n) + 2*d^n*x^n*log(c)*log(x)/d - 2*d^n*x^n*log(x)/d - 2*d^n*x^n*log(c)/(d*n) + 2*d^n*x^n/(d*n)","A",0
158,1,50,0,0.355904," ","integrate((d*x)^(-1+n)*log(c*x^n),x, algorithm=""giac"")","\frac{\frac{1}{d}^{n} x^{n} {\left| d \right|}^{2 \, n} \log\left(c\right)}{d n} + \frac{d^{n} x^{n} \log\left(x\right)}{d} - \frac{d^{n} x^{n}}{d n}"," ",0,"(1/d)^n*x^n*abs(d)^(2*n)*log(c)/(d*n) + d^n*x^n*log(x)/d - d^n*x^n/(d*n)","A",0
159,0,0,0,0.000000," ","integrate((d*x)^(-1+n)/log(c*x^n),x, algorithm=""giac"")","\int \frac{\left(d x\right)^{n - 1}}{\log\left(c x^{n}\right)}\,{d x}"," ",0,"integrate((d*x)^(n - 1)/log(c*x^n), x)","F",0
160,0,0,0,0.000000," ","integrate((d*x)^(-1+n)/log(c*x^n)^2,x, algorithm=""giac"")","\int \frac{\left(d x\right)^{n - 1}}{\log\left(c x^{n}\right)^{2}}\,{d x}"," ",0,"integrate((d*x)^(n - 1)/log(c*x^n)^2, x)","F",0
161,0,0,0,0.000000," ","integrate((d*x)^(-1+n)/log(c*x^n)^3,x, algorithm=""giac"")","\int \frac{\left(d x\right)^{n - 1}}{\log\left(c x^{n}\right)^{3}}\,{d x}"," ",0,"integrate((d*x)^(n - 1)/log(c*x^n)^3, x)","F",0
162,0,0,0,0.000000," ","integrate(x^m*log(a*x^n)^(3/2),x, algorithm=""giac"")","\int x^{m} \log\left(a x^{n}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(x^m*log(a*x^n)^(3/2), x)","F",0
163,0,0,0,0.000000," ","integrate(x^m*log(a*x^n)^(1/2),x, algorithm=""giac"")","\int x^{m} \sqrt{\log\left(a x^{n}\right)}\,{d x}"," ",0,"integrate(x^m*sqrt(log(a*x^n)), x)","F",0
164,0,0,0,0.000000," ","integrate(x^m/log(a*x^n)^(1/2),x, algorithm=""giac"")","\int \frac{x^{m}}{\sqrt{\log\left(a x^{n}\right)}}\,{d x}"," ",0,"integrate(x^m/sqrt(log(a*x^n)), x)","F",0
165,0,0,0,0.000000," ","integrate(x^m/log(a*x^n)^(3/2),x, algorithm=""giac"")","\int \frac{x^{m}}{\log\left(a x^{n}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^m/log(a*x^n)^(3/2), x)","F",0
166,0,0,0,0.000000," ","integrate(x^m/log(a*x^n)^(5/2),x, algorithm=""giac"")","\int \frac{x^{m}}{\log\left(a x^{n}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^m/log(a*x^n)^(5/2), x)","F",0
167,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*log(c*x^n))^p,x, algorithm=""giac"")","\int \left(d x\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((d*x)^m*(b*log(c*x^n) + a)^p, x)","F",0
168,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c x^{n}\right) + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^p*x^2, x)","F",0
169,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c x^{n}\right) + a\right)}^{p} x\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^p*x, x)","F",0
170,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c x^{n}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^p, x)","F",0
171,1,27,0,0.252639," ","integrate((a+b*log(c*x^n))^p/x,x, algorithm=""giac"")","\frac{{\left(b n \log\left(x\right) + b \log\left(c\right) + a\right)}^{p + 1}}{b n {\left(p + 1\right)}}"," ",0,"(b*n*log(x) + b*log(c) + a)^(p + 1)/(b*n*(p + 1))","A",0
172,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^p/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^p/x^2, x)","F",0
173,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^p/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^p/x^3, x)","F",0
174,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^p/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{p}}{x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^p/x^4, x)","F",0
175,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*log(c*x))^p,x, algorithm=""giac"")","\int \left(d x\right)^{m} {\left(b \log\left(c x\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((d*x)^m*(b*log(c*x) + a)^p, x)","F",0
176,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c x\right) + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((b*log(c*x) + a)^p*x^2, x)","F",0
177,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c x\right) + a\right)}^{p} x\,{d x}"," ",0,"integrate((b*log(c*x) + a)^p*x, x)","F",0
178,0,0,0,0.000000," ","integrate((a+b*log(c*x))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c x\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log(c*x) + a)^p, x)","F",0
179,1,21,0,0.394047," ","integrate((a+b*log(c*x))^p/x,x, algorithm=""giac"")","\frac{{\left(b \log\left(c x\right) + a\right)}^{p + 1}}{b {\left(p + 1\right)}}"," ",0,"(b*log(c*x) + a)^(p + 1)/(b*(p + 1))","A",0
180,0,0,0,0.000000," ","integrate((a+b*log(c*x))^p/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x\right) + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*x) + a)^p/x^2, x)","F",0
181,0,0,0,0.000000," ","integrate((a+b*log(c*x))^p/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x\right) + a\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((b*log(c*x) + a)^p/x^3, x)","F",0
182,0,0,0,0.000000," ","integrate((a+b*log(c*x))^p/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c x\right) + a\right)}^{p}}{x^{4}}\,{d x}"," ",0,"integrate((b*log(c*x) + a)^p/x^4, x)","F",0
183,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*log(c*x^(1/2)))^p,x, algorithm=""giac"")","\int \left(d x\right)^{m} {\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((d*x)^m*(b*log(c*sqrt(x)) + a)^p, x)","F",0
184,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^(1/2)))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((b*log(c*sqrt(x)) + a)^p*x^2, x)","F",0
185,0,0,0,0.000000," ","integrate(x*(a+b*log(c*x^(1/2)))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p} x\,{d x}"," ",0,"integrate((b*log(c*sqrt(x)) + a)^p*x, x)","F",0
186,0,0,0,0.000000," ","integrate((a+b*log(c*x^(1/2)))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log(c*sqrt(x)) + a)^p, x)","F",0
187,1,25,0,0.309881," ","integrate((a+b*log(c*x^(1/2)))^p/x,x, algorithm=""giac"")","\frac{2 \, {\left(b \log\left(c\right) + \frac{1}{2} \, b \log\left(x\right) + a\right)}^{p + 1}}{b {\left(p + 1\right)}}"," ",0,"2*(b*log(c) + 1/2*b*log(x) + a)^(p + 1)/(b*(p + 1))","A",0
188,0,0,0,0.000000," ","integrate((a+b*log(c*x^(1/2)))^p/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*sqrt(x)) + a)^p/x^2, x)","F",0
189,0,0,0,0.000000," ","integrate((a+b*log(c*x^(1/2)))^p/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((b*log(c*sqrt(x)) + a)^p/x^3, x)","F",0
190,0,0,0,0.000000," ","integrate((a+b*log(c*x^(1/2)))^p/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p}}{x^{4}}\,{d x}"," ",0,"integrate((b*log(c*sqrt(x)) + a)^p/x^4, x)","F",0
191,0,0,0,0.000000," ","integrate(x^(-1+n)*(a+b*log(c*x^n))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c x^{n}\right) + a\right)}^{p} x^{n - 1}\,{d x}"," ",0,"integrate((b*log(c*x^n) + a)^p*x^(n - 1), x)","F",0
192,0,0,0,0.000000," ","integrate((d*x^q)^m*(a+b*log(c*x^n))^p,x, algorithm=""giac"")","\int \left(d x^{q}\right)^{m} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((d*x^q)^m*(b*log(c*x^n) + a)^p, x)","F",0
193,0,0,0,0.000000," ","integrate((d1*x^q1)^m1*(d2*x^q2)^m2*(a+b*log(c*x^n))^p,x, algorithm=""giac"")","\int \left(d_{1} x^{q_{1}}\right)^{m_{1}} \left(d_{2} x^{q_{2}}\right)^{m_{2}} {\left(b \log\left(c x^{n}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((d1*x^q1)^m1*(d2*x^q2)^m2*(b*log(c*x^n) + a)^p, x)","F",0
