1,1,15,0,0.494070," ","integrate(x^3*log(c*x),x, algorithm=""maxima"")","\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
2,1,15,0,0.612593," ","integrate(x^2*log(c*x),x, algorithm=""maxima"")","\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
3,1,15,0,0.564327," ","integrate(x*log(c*x),x, algorithm=""maxima"")","\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
4,1,16,0,0.560261," ","integrate(log(c*x),x, algorithm=""maxima"")","\frac{c x \log\left(c x\right) - c x}{c}"," ",0,"(c*x*log(c*x) - c*x)/c","A",0
5,1,8,0,0.679243," ","integrate(log(c*x)/x,x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(c x\right)^{2}"," ",0,"1/2*log(c*x)^2","A",0
6,1,15,0,0.532589," ","integrate(log(c*x)/x^2,x, algorithm=""maxima"")","-\frac{\log\left(c x\right)}{x} - \frac{1}{x}"," ",0,"-log(c*x)/x - 1/x","A",0
7,1,15,0,0.542367," ","integrate(log(c*x)/x^3,x, algorithm=""maxima"")","-\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
8,1,21,0,0.600790," ","integrate(x^3*log(c*x)^2,x, algorithm=""maxima"")","\frac{1}{32} \, {\left(8 \, \log\left(c x\right)^{2} - 4 \, \log\left(c x\right) + 1\right)} x^{4}"," ",0,"1/32*(8*log(c*x)^2 - 4*log(c*x) + 1)*x^4","A",0
9,1,21,0,0.591433," ","integrate(x^2*log(c*x)^2,x, algorithm=""maxima"")","\frac{1}{27} \, {\left(9 \, \log\left(c x\right)^{2} - 6 \, \log\left(c x\right) + 2\right)} x^{3}"," ",0,"1/27*(9*log(c*x)^2 - 6*log(c*x) + 2)*x^3","A",0
10,1,21,0,0.512659," ","integrate(x*log(c*x)^2,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(2 \, \log\left(c x\right)^{2} - 2 \, \log\left(c x\right) + 1\right)} x^{2}"," ",0,"1/4*(2*log(c*x)^2 - 2*log(c*x) + 1)*x^2","A",0
11,1,16,0,0.478571," ","integrate(log(c*x)^2,x, algorithm=""maxima"")","{\left(\log\left(c x\right)^{2} - 2 \, \log\left(c x\right) + 2\right)} x"," ",0,"(log(c*x)^2 - 2*log(c*x) + 2)*x","A",0
12,1,8,0,0.548735," ","integrate(log(c*x)^2/x,x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(c x\right)^{3}"," ",0,"1/3*log(c*x)^3","A",0
13,1,19,0,0.530085," ","integrate(log(c*x)^2/x^2,x, algorithm=""maxima"")","-\frac{\log\left(c x\right)^{2} + 2 \, \log\left(c x\right) + 2}{x}"," ",0,"-(log(c*x)^2 + 2*log(c*x) + 2)/x","A",0
14,1,21,0,0.499741," ","integrate(log(c*x)^2/x^3,x, algorithm=""maxima"")","-\frac{2 \, \log\left(c x\right)^{2} + 2 \, \log\left(c x\right) + 1}{4 \, x^{2}}"," ",0,"-1/4*(2*log(c*x)^2 + 2*log(c*x) + 1)/x^2","A",0
15,1,29,0,0.544862," ","integrate(x^3*log(c*x)^3,x, algorithm=""maxima"")","\frac{1}{128} \, {\left(32 \, \log\left(c x\right)^{3} - 24 \, \log\left(c x\right)^{2} + 12 \, \log\left(c x\right) - 3\right)} x^{4}"," ",0,"1/128*(32*log(c*x)^3 - 24*log(c*x)^2 + 12*log(c*x) - 3)*x^4","A",0
16,1,29,0,0.506073," ","integrate(x^2*log(c*x)^3,x, algorithm=""maxima"")","\frac{1}{27} \, {\left(9 \, \log\left(c x\right)^{3} - 9 \, \log\left(c x\right)^{2} + 6 \, \log\left(c x\right) - 2\right)} x^{3}"," ",0,"1/27*(9*log(c*x)^3 - 9*log(c*x)^2 + 6*log(c*x) - 2)*x^3","A",0
17,1,29,0,0.500102," ","integrate(x*log(c*x)^3,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(4 \, \log\left(c x\right)^{3} - 6 \, \log\left(c x\right)^{2} + 6 \, \log\left(c x\right) - 3\right)} x^{2}"," ",0,"1/8*(4*log(c*x)^3 - 6*log(c*x)^2 + 6*log(c*x) - 3)*x^2","A",0
18,1,24,0,0.480224," ","integrate(log(c*x)^3,x, algorithm=""maxima"")","{\left(\log\left(c x\right)^{3} - 3 \, \log\left(c x\right)^{2} + 6 \, \log\left(c x\right) - 6\right)} x"," ",0,"(log(c*x)^3 - 3*log(c*x)^2 + 6*log(c*x) - 6)*x","A",0
19,1,8,0,0.487219," ","integrate(log(c*x)^3/x,x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(c x\right)^{4}"," ",0,"1/4*log(c*x)^4","A",0
20,1,27,0,0.517631," ","integrate(log(c*x)^3/x^2,x, algorithm=""maxima"")","-\frac{\log\left(c x\right)^{3} + 3 \, \log\left(c x\right)^{2} + 6 \, \log\left(c x\right) + 6}{x}"," ",0,"-(log(c*x)^3 + 3*log(c*x)^2 + 6*log(c*x) + 6)/x","A",0
21,1,29,0,0.571948," ","integrate(log(c*x)^3/x^3,x, algorithm=""maxima"")","-\frac{4 \, \log\left(c x\right)^{3} + 6 \, \log\left(c x\right)^{2} + 6 \, \log\left(c x\right) + 3}{8 \, x^{2}}"," ",0,"-1/8*(4*log(c*x)^3 + 6*log(c*x)^2 + 6*log(c*x) + 3)/x^2","A",0
22,1,11,0,0.958406," ","integrate(x^3/log(c*x),x, algorithm=""maxima"")","\frac{{\rm Ei}\left(4 \, \log\left(c x\right)\right)}{c^{4}}"," ",0,"Ei(4*log(c*x))/c^4","A",0
23,1,11,0,0.871984," ","integrate(x^2/log(c*x),x, algorithm=""maxima"")","\frac{{\rm Ei}\left(3 \, \log\left(c x\right)\right)}{c^{3}}"," ",0,"Ei(3*log(c*x))/c^3","A",0
24,1,11,0,0.931512," ","integrate(x/log(c*x),x, algorithm=""maxima"")","\frac{{\rm Ei}\left(2 \, \log\left(c x\right)\right)}{c^{2}}"," ",0,"Ei(2*log(c*x))/c^2","A",0
25,1,9,0,0.891953," ","integrate(1/log(c*x),x, algorithm=""maxima"")","\frac{{\rm Ei}\left(\log\left(c x\right)\right)}{c}"," ",0,"Ei(log(c*x))/c","A",0
26,1,5,0,0.684769," ","integrate(1/x/log(c*x),x, algorithm=""maxima"")","\log\left(\log\left(c x\right)\right)"," ",0,"log(log(c*x))","A",0
27,1,9,0,0.709357," ","integrate(1/x^2/log(c*x),x, algorithm=""maxima"")","c {\rm Ei}\left(-\log\left(c x\right)\right)"," ",0,"c*Ei(-log(c*x))","A",0
28,1,11,0,0.896907," ","integrate(1/x^3/log(c*x),x, algorithm=""maxima"")","c^{2} {\rm Ei}\left(-2 \, \log\left(c x\right)\right)"," ",0,"c^2*Ei(-2*log(c*x))","A",0
29,1,13,0,0.768437," ","integrate(x^3/log(c*x)^2,x, algorithm=""maxima"")","\frac{4 \, \Gamma\left(-1, -4 \, \log\left(c x\right)\right)}{c^{4}}"," ",0,"4*gamma(-1, -4*log(c*x))/c^4","A",0
30,1,13,0,0.957006," ","integrate(x^2/log(c*x)^2,x, algorithm=""maxima"")","\frac{3 \, \Gamma\left(-1, -3 \, \log\left(c x\right)\right)}{c^{3}}"," ",0,"3*gamma(-1, -3*log(c*x))/c^3","A",0
31,1,13,0,0.819471," ","integrate(x/log(c*x)^2,x, algorithm=""maxima"")","\frac{2 \, \Gamma\left(-1, -2 \, \log\left(c x\right)\right)}{c^{2}}"," ",0,"2*gamma(-1, -2*log(c*x))/c^2","A",0
32,1,12,0,0.909199," ","integrate(1/log(c*x)^2,x, algorithm=""maxima"")","\frac{\Gamma\left(-1, -\log\left(c x\right)\right)}{c}"," ",0,"gamma(-1, -log(c*x))/c","A",0
33,1,8,0,0.644039," ","integrate(1/x/log(c*x)^2,x, algorithm=""maxima"")","-\frac{1}{\log\left(c x\right)}"," ",0,"-1/log(c*x)","A",0
34,1,9,0,0.835362," ","integrate(1/x^2/log(c*x)^2,x, algorithm=""maxima"")","-c \Gamma\left(-1, \log\left(c x\right)\right)"," ",0,"-c*gamma(-1, log(c*x))","A",0
35,1,13,0,0.834676," ","integrate(1/x^3/log(c*x)^2,x, algorithm=""maxima"")","-2 \, c^{2} \Gamma\left(-1, 2 \, \log\left(c x\right)\right)"," ",0,"-2*c^2*gamma(-1, 2*log(c*x))","A",0
36,1,13,0,0.839238," ","integrate(x^3/log(c*x)^3,x, algorithm=""maxima"")","-\frac{16 \, \Gamma\left(-2, -4 \, \log\left(c x\right)\right)}{c^{4}}"," ",0,"-16*gamma(-2, -4*log(c*x))/c^4","A",0
37,1,13,0,0.874004," ","integrate(x^2/log(c*x)^3,x, algorithm=""maxima"")","-\frac{9 \, \Gamma\left(-2, -3 \, \log\left(c x\right)\right)}{c^{3}}"," ",0,"-9*gamma(-2, -3*log(c*x))/c^3","A",0
38,1,13,0,0.851243," ","integrate(x/log(c*x)^3,x, algorithm=""maxima"")","-\frac{4 \, \Gamma\left(-2, -2 \, \log\left(c x\right)\right)}{c^{2}}"," ",0,"-4*gamma(-2, -2*log(c*x))/c^2","A",0
39,1,13,0,0.788294," ","integrate(1/log(c*x)^3,x, algorithm=""maxima"")","-\frac{\Gamma\left(-2, -\log\left(c x\right)\right)}{c}"," ",0,"-gamma(-2, -log(c*x))/c","A",0
40,1,8,0,0.508489," ","integrate(1/x/log(c*x)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, \log\left(c x\right)^{2}}"," ",0,"-1/2/log(c*x)^2","A",0
41,1,9,0,0.949954," ","integrate(1/x^2/log(c*x)^3,x, algorithm=""maxima"")","-c \Gamma\left(-2, \log\left(c x\right)\right)"," ",0,"-c*gamma(-2, log(c*x))","A",0
42,1,13,0,0.809214," ","integrate(1/x^3/log(c*x)^3,x, algorithm=""maxima"")","-4 \, c^{2} \Gamma\left(-2, 2 \, \log\left(c x\right)\right)"," ",0,"-4*c^2*gamma(-2, 2*log(c*x))","A",0
43,1,26,0,0.495687," ","integrate(x^3*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{16} \, b n x^{4} + \frac{1}{4} \, b x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a x^{4}"," ",0,"-1/16*b*n*x^4 + 1/4*b*x^4*log(c*x^n) + 1/4*a*x^4","A",0
44,1,26,0,0.546692," ","integrate(x^2*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{9} \, b n x^{3} + \frac{1}{3} \, b x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a x^{3}"," ",0,"-1/9*b*n*x^3 + 1/3*b*x^3*log(c*x^n) + 1/3*a*x^3","A",0
45,1,26,0,0.607579," ","integrate(x*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{1}{4} \, b n x^{2} + \frac{1}{2} \, b x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a x^{2}"," ",0,"-1/4*b*n*x^2 + 1/2*b*x^2*log(c*x^n) + 1/2*a*x^2","A",0
46,1,18,0,0.585232," ","integrate(a+b*log(c*x^n),x, algorithm=""maxima"")","-b n x + b x \log\left(c x^{n}\right) + a x"," ",0,"-b*n*x + b*x*log(c*x^n) + a*x","A",0
47,1,20,0,0.441472," ","integrate((a+b*log(c*x^n))/x,x, algorithm=""maxima"")","\frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{2}}{2 \, b n}"," ",0,"1/2*(b*log(c*x^n) + a)^2/(b*n)","A",0
48,1,26,0,0.545008," ","integrate((a+b*log(c*x^n))/x^2,x, algorithm=""maxima"")","-\frac{b n}{x} - \frac{b \log\left(c x^{n}\right)}{x} - \frac{a}{x}"," ",0,"-b*n/x - b*log(c*x^n)/x - a/x","A",0
49,1,26,0,0.532959," ","integrate((a+b*log(c*x^n))/x^3,x, algorithm=""maxima"")","-\frac{b n}{4 \, x^{2}} - \frac{b \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{a}{2 \, x^{2}}"," ",0,"-1/4*b*n/x^2 - 1/2*b*log(c*x^n)/x^2 - 1/2*a/x^2","A",0
50,1,71,0,0.507077," ","integrate(x^3*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{1}{4} \, b^{2} x^{4} \log\left(c x^{n}\right)^{2} - \frac{1}{8} \, a b n x^{4} + \frac{1}{2} \, a b x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a^{2} x^{4} + \frac{1}{32} \, {\left(n^{2} x^{4} - 4 \, n x^{4} \log\left(c x^{n}\right)\right)} b^{2}"," ",0,"1/4*b^2*x^4*log(c*x^n)^2 - 1/8*a*b*n*x^4 + 1/2*a*b*x^4*log(c*x^n) + 1/4*a^2*x^4 + 1/32*(n^2*x^4 - 4*n*x^4*log(c*x^n))*b^2","A",0
51,1,71,0,0.674866," ","integrate(x^2*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} x^{3} \log\left(c x^{n}\right)^{2} - \frac{2}{9} \, a b n x^{3} + \frac{2}{3} \, a b x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a^{2} x^{3} + \frac{2}{27} \, {\left(n^{2} x^{3} - 3 \, n x^{3} \log\left(c x^{n}\right)\right)} b^{2}"," ",0,"1/3*b^2*x^3*log(c*x^n)^2 - 2/9*a*b*n*x^3 + 2/3*a*b*x^3*log(c*x^n) + 1/3*a^2*x^3 + 2/27*(n^2*x^3 - 3*n*x^3*log(c*x^n))*b^2","A",0
52,1,70,0,0.596934," ","integrate(x*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} x^{2} \log\left(c x^{n}\right)^{2} - \frac{1}{2} \, a b n x^{2} + a b x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a^{2} x^{2} + \frac{1}{4} \, {\left(n^{2} x^{2} - 2 \, n x^{2} \log\left(c x^{n}\right)\right)} b^{2}"," ",0,"1/2*b^2*x^2*log(c*x^n)^2 - 1/2*a*b*n*x^2 + a*b*x^2*log(c*x^n) + 1/2*a^2*x^2 + 1/4*(n^2*x^2 - 2*n*x^2*log(c*x^n))*b^2","A",0
53,1,57,0,0.607375," ","integrate((a+b*log(c*x^n))^2,x, algorithm=""maxima"")","b^{2} x \log\left(c x^{n}\right)^{2} - 2 \, a b n x + 2 \, a b x \log\left(c x^{n}\right) + 2 \, {\left(n^{2} x - n x \log\left(c x^{n}\right)\right)} b^{2} + a^{2} x"," ",0,"b^2*x*log(c*x^n)^2 - 2*a*b*n*x + 2*a*b*x*log(c*x^n) + 2*(n^2*x - n*x*log(c*x^n))*b^2 + a^2*x","A",0
54,1,20,0,0.455709," ","integrate((a+b*log(c*x^n))^2/x,x, algorithm=""maxima"")","\frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{3}}{3 \, b n}"," ",0,"1/3*(b*log(c*x^n) + a)^3/(b*n)","A",0
55,1,70,0,0.725496," ","integrate((a+b*log(c*x^n))^2/x^2,x, algorithm=""maxima"")","-2 \, b^{2} {\left(\frac{n^{2}}{x} + \frac{n \log\left(c x^{n}\right)}{x}\right)} - \frac{b^{2} \log\left(c x^{n}\right)^{2}}{x} - \frac{2 \, a b n}{x} - \frac{2 \, a b \log\left(c x^{n}\right)}{x} - \frac{a^{2}}{x}"," ",0,"-2*b^2*(n^2/x + n*log(c*x^n)/x) - b^2*log(c*x^n)^2/x - 2*a*b*n/x - 2*a*b*log(c*x^n)/x - a^2/x","A",0
56,1,71,0,0.603262," ","integrate((a+b*log(c*x^n))^2/x^3,x, algorithm=""maxima"")","-\frac{1}{4} \, b^{2} {\left(\frac{n^{2}}{x^{2}} + \frac{2 \, n \log\left(c x^{n}\right)}{x^{2}}\right)} - \frac{b^{2} \log\left(c x^{n}\right)^{2}}{2 \, x^{2}} - \frac{a b n}{2 \, x^{2}} - \frac{a b \log\left(c x^{n}\right)}{x^{2}} - \frac{a^{2}}{2 \, x^{2}}"," ",0,"-1/4*b^2*(n^2/x^2 + 2*n*log(c*x^n)/x^2) - 1/2*b^2*log(c*x^n)^2/x^2 - 1/2*a*b*n/x^2 - a*b*log(c*x^n)/x^2 - 1/2*a^2/x^2","A",0
57,1,135,0,0.621487," ","integrate(x^3*(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\frac{1}{4} \, b^{3} x^{4} \log\left(c x^{n}\right)^{3} + \frac{3}{4} \, a b^{2} x^{4} \log\left(c x^{n}\right)^{2} - \frac{3}{16} \, a^{2} b n x^{4} + \frac{3}{4} \, a^{2} b x^{4} \log\left(c x^{n}\right) + \frac{1}{4} \, a^{3} x^{4} + \frac{3}{32} \, {\left(n^{2} x^{4} - 4 \, n x^{4} \log\left(c x^{n}\right)\right)} a b^{2} - \frac{3}{128} \, {\left(8 \, n x^{4} \log\left(c x^{n}\right)^{2} + {\left(n^{2} x^{4} - 4 \, n x^{4} \log\left(c x^{n}\right)\right)} n\right)} b^{3}"," ",0,"1/4*b^3*x^4*log(c*x^n)^3 + 3/4*a*b^2*x^4*log(c*x^n)^2 - 3/16*a^2*b*n*x^4 + 3/4*a^2*b*x^4*log(c*x^n) + 1/4*a^3*x^4 + 3/32*(n^2*x^4 - 4*n*x^4*log(c*x^n))*a*b^2 - 3/128*(8*n*x^4*log(c*x^n)^2 + (n^2*x^4 - 4*n*x^4*log(c*x^n))*n)*b^3","A",0
58,1,134,0,0.678697," ","integrate(x^2*(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\frac{1}{3} \, b^{3} x^{3} \log\left(c x^{n}\right)^{3} + a b^{2} x^{3} \log\left(c x^{n}\right)^{2} - \frac{1}{3} \, a^{2} b n x^{3} + a^{2} b x^{3} \log\left(c x^{n}\right) + \frac{1}{3} \, a^{3} x^{3} + \frac{2}{9} \, {\left(n^{2} x^{3} - 3 \, n x^{3} \log\left(c x^{n}\right)\right)} a b^{2} - \frac{1}{27} \, {\left(9 \, n x^{3} \log\left(c x^{n}\right)^{2} + 2 \, {\left(n^{2} x^{3} - 3 \, n x^{3} \log\left(c x^{n}\right)\right)} n\right)} b^{3}"," ",0,"1/3*b^3*x^3*log(c*x^n)^3 + a*b^2*x^3*log(c*x^n)^2 - 1/3*a^2*b*n*x^3 + a^2*b*x^3*log(c*x^n) + 1/3*a^3*x^3 + 2/9*(n^2*x^3 - 3*n*x^3*log(c*x^n))*a*b^2 - 1/27*(9*n*x^3*log(c*x^n)^2 + 2*(n^2*x^3 - 3*n*x^3*log(c*x^n))*n)*b^3","A",0
59,1,135,0,0.687893," ","integrate(x*(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","\frac{1}{2} \, b^{3} x^{2} \log\left(c x^{n}\right)^{3} + \frac{3}{2} \, a b^{2} x^{2} \log\left(c x^{n}\right)^{2} - \frac{3}{4} \, a^{2} b n x^{2} + \frac{3}{2} \, a^{2} b x^{2} \log\left(c x^{n}\right) + \frac{1}{2} \, a^{3} x^{2} + \frac{3}{4} \, {\left(n^{2} x^{2} - 2 \, n x^{2} \log\left(c x^{n}\right)\right)} a b^{2} - \frac{3}{8} \, {\left(2 \, n x^{2} \log\left(c x^{n}\right)^{2} + {\left(n^{2} x^{2} - 2 \, n x^{2} \log\left(c x^{n}\right)\right)} n\right)} b^{3}"," ",0,"1/2*b^3*x^2*log(c*x^n)^3 + 3/2*a*b^2*x^2*log(c*x^n)^2 - 3/4*a^2*b*n*x^2 + 3/2*a^2*b*x^2*log(c*x^n) + 1/2*a^3*x^2 + 3/4*(n^2*x^2 - 2*n*x^2*log(c*x^n))*a*b^2 - 3/8*(2*n*x^2*log(c*x^n)^2 + (n^2*x^2 - 2*n*x^2*log(c*x^n))*n)*b^3","A",0
60,1,113,0,0.590174," ","integrate((a+b*log(c*x^n))^3,x, algorithm=""maxima"")","b^{3} x \log\left(c x^{n}\right)^{3} + 3 \, a b^{2} x \log\left(c x^{n}\right)^{2} - 3 \, a^{2} b n x + 3 \, a^{2} b x \log\left(c x^{n}\right) + 6 \, {\left(n^{2} x - n x \log\left(c x^{n}\right)\right)} a b^{2} - 3 \, {\left(n x \log\left(c x^{n}\right)^{2} + 2 \, {\left(n^{2} x - n x \log\left(c x^{n}\right)\right)} n\right)} b^{3} + a^{3} x"," ",0,"b^3*x*log(c*x^n)^3 + 3*a*b^2*x*log(c*x^n)^2 - 3*a^2*b*n*x + 3*a^2*b*x*log(c*x^n) + 6*(n^2*x - n*x*log(c*x^n))*a*b^2 - 3*(n*x*log(c*x^n)^2 + 2*(n^2*x - n*x*log(c*x^n))*n)*b^3 + a^3*x","A",0
61,1,20,0,0.558805," ","integrate((a+b*log(c*x^n))^3/x,x, algorithm=""maxima"")","\frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{4}}{4 \, b n}"," ",0,"1/4*(b*log(c*x^n) + a)^4/(b*n)","A",0
62,1,133,0,0.612946," ","integrate((a+b*log(c*x^n))^3/x^2,x, algorithm=""maxima"")","-\frac{b^{3} \log\left(c x^{n}\right)^{3}}{x} - 3 \, {\left(2 \, n {\left(\frac{n^{2}}{x} + \frac{n \log\left(c x^{n}\right)}{x}\right)} + \frac{n \log\left(c x^{n}\right)^{2}}{x}\right)} b^{3} - 6 \, a b^{2} {\left(\frac{n^{2}}{x} + \frac{n \log\left(c x^{n}\right)}{x}\right)} - \frac{3 \, a b^{2} \log\left(c x^{n}\right)^{2}}{x} - \frac{3 \, a^{2} b n}{x} - \frac{3 \, a^{2} b \log\left(c x^{n}\right)}{x} - \frac{a^{3}}{x}"," ",0,"-b^3*log(c*x^n)^3/x - 3*(2*n*(n^2/x + n*log(c*x^n)/x) + n*log(c*x^n)^2/x)*b^3 - 6*a*b^2*(n^2/x + n*log(c*x^n)/x) - 3*a*b^2*log(c*x^n)^2/x - 3*a^2*b*n/x - 3*a^2*b*log(c*x^n)/x - a^3/x","A",0
63,1,135,0,0.600365," ","integrate((a+b*log(c*x^n))^3/x^3,x, algorithm=""maxima"")","-\frac{3}{8} \, {\left(n {\left(\frac{n^{2}}{x^{2}} + \frac{2 \, n \log\left(c x^{n}\right)}{x^{2}}\right)} + \frac{2 \, n \log\left(c x^{n}\right)^{2}}{x^{2}}\right)} b^{3} - \frac{3}{4} \, a b^{2} {\left(\frac{n^{2}}{x^{2}} + \frac{2 \, n \log\left(c x^{n}\right)}{x^{2}}\right)} - \frac{b^{3} \log\left(c x^{n}\right)^{3}}{2 \, x^{2}} - \frac{3 \, a b^{2} \log\left(c x^{n}\right)^{2}}{2 \, x^{2}} - \frac{3 \, a^{2} b n}{4 \, x^{2}} - \frac{3 \, a^{2} b \log\left(c x^{n}\right)}{2 \, x^{2}} - \frac{a^{3}}{2 \, x^{2}}"," ",0,"-3/8*(n*(n^2/x^2 + 2*n*log(c*x^n)/x^2) + 2*n*log(c*x^n)^2/x^2)*b^3 - 3/4*a*b^2*(n^2/x^2 + 2*n*log(c*x^n)/x^2) - 1/2*b^3*log(c*x^n)^3/x^2 - 3/2*a*b^2*log(c*x^n)^2/x^2 - 3/4*a^2*b*n/x^2 - 3/2*a^2*b*log(c*x^n)/x^2 - 1/2*a^3/x^2","A",0
64,1,136,0,0.591495," ","integrate((a+b*log(c*x^n))^3/x^4,x, algorithm=""maxima"")","-\frac{1}{27} \, {\left(2 \, n {\left(\frac{n^{2}}{x^{3}} + \frac{3 \, n \log\left(c x^{n}\right)}{x^{3}}\right)} + \frac{9 \, n \log\left(c x^{n}\right)^{2}}{x^{3}}\right)} b^{3} - \frac{2}{9} \, a b^{2} {\left(\frac{n^{2}}{x^{3}} + \frac{3 \, n \log\left(c x^{n}\right)}{x^{3}}\right)} - \frac{b^{3} \log\left(c x^{n}\right)^{3}}{3 \, x^{3}} - \frac{a b^{2} \log\left(c x^{n}\right)^{2}}{x^{3}} - \frac{a^{2} b n}{3 \, x^{3}} - \frac{a^{2} b \log\left(c x^{n}\right)}{x^{3}} - \frac{a^{3}}{3 \, x^{3}}"," ",0,"-1/27*(2*n*(n^2/x^3 + 3*n*log(c*x^n)/x^3) + 9*n*log(c*x^n)^2/x^3)*b^3 - 2/9*a*b^2*(n^2/x^3 + 3*n*log(c*x^n)/x^3) - 1/3*b^3*log(c*x^n)^3/x^3 - a*b^2*log(c*x^n)^2/x^3 - 1/3*a^2*b*n/x^3 - a^2*b*log(c*x^n)/x^3 - 1/3*a^3/x^3","A",0
65,0,0,0,0.000000," ","integrate(x^3/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{x^{3}}{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate(x^3/(b*log(c*x^n) + a), x)","F",0
66,0,0,0,0.000000," ","integrate(x^2/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{x^{2}}{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate(x^2/(b*log(c*x^n) + a), x)","F",0
67,0,0,0,0.000000," ","integrate(x/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{x}{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate(x/(b*log(c*x^n) + a), x)","F",0
68,0,0,0,0.000000," ","integrate(1/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\int \frac{1}{b \log\left(c x^{n}\right) + a}\,{d x}"," ",0,"integrate(1/(b*log(c*x^n) + a), x)","F",0
69,1,18,0,0.799073," ","integrate(1/x/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\frac{\log\left(b \log\left(c x^{n}\right) + a\right)}{b n}"," ",0,"log(b*log(c*x^n) + a)/(b*n)","A",0
70,0,0,0,0.000000," ","integrate(1/x^2/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
73,0,0,0,0.000000," ","integrate(x^3/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{x^{4}}{b^{2} n \log\left(c\right) + b^{2} n \log\left(x^{n}\right) + a b n} + 4 \, \int \frac{x^{3}}{b^{2} n \log\left(c\right) + b^{2} n \log\left(x^{n}\right) + a b n}\,{d x}"," ",0,"-x^4/(b^2*n*log(c) + b^2*n*log(x^n) + a*b*n) + 4*integrate(x^3/(b^2*n*log(c) + b^2*n*log(x^n) + a*b*n), x)","F",0
74,0,0,0,0.000000," ","integrate(x^2/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{x^{3}}{b^{2} n \log\left(c\right) + b^{2} n \log\left(x^{n}\right) + a b n} + 3 \, \int \frac{x^{2}}{b^{2} n \log\left(c\right) + b^{2} n \log\left(x^{n}\right) + a b n}\,{d x}"," ",0,"-x^3/(b^2*n*log(c) + b^2*n*log(x^n) + a*b*n) + 3*integrate(x^2/(b^2*n*log(c) + b^2*n*log(x^n) + a*b*n), x)","F",0
75,0,0,0,0.000000," ","integrate(x/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{x^{2}}{b^{2} n \log\left(c\right) + b^{2} n \log\left(x^{n}\right) + a b n} + 2 \, \int \frac{x}{b^{2} n \log\left(c\right) + b^{2} n \log\left(x^{n}\right) + a b n}\,{d x}"," ",0,"-x^2/(b^2*n*log(c) + b^2*n*log(x^n) + a*b*n) + 2*integrate(x/(b^2*n*log(c) + b^2*n*log(x^n) + a*b*n), x)","F",0
76,0,0,0,0.000000," ","integrate(1/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{x}{b^{2} n \log\left(c\right) + b^{2} n \log\left(x^{n}\right) + a b n} + \int \frac{1}{b^{2} n \log\left(c\right) + b^{2} n \log\left(x^{n}\right) + a b n}\,{d x}"," ",0,"-x/(b^2*n*log(c) + b^2*n*log(x^n) + a*b*n) + integrate(1/(b^2*n*log(c) + b^2*n*log(x^n) + a*b*n), x)","F",0
77,1,20,0,0.497056," ","integrate(1/x/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{1}{{\left(b \log\left(c x^{n}\right) + a\right)} b n}"," ",0,"-1/((b*log(c*x^n) + a)*b*n)","A",0
78,0,0,0,0.000000," ","integrate(1/x^2/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{1}{b^{2} n x \log\left(x^{n}\right) + {\left(b^{2} n \log\left(c\right) + a b n\right)} x} - \int \frac{1}{b^{2} n x^{2} \log\left(x^{n}\right) + {\left(b^{2} n \log\left(c\right) + a b n\right)} x^{2}}\,{d x}"," ",0,"-1/(b^2*n*x*log(x^n) + (b^2*n*log(c) + a*b*n)*x) - integrate(1/(b^2*n*x^2*log(x^n) + (b^2*n*log(c) + a*b*n)*x^2), x)","F",0
79,0,0,0,0.000000," ","integrate(1/x^3/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{1}{b^{2} n x^{2} \log\left(x^{n}\right) + {\left(b^{2} n \log\left(c\right) + a b n\right)} x^{2}} - 2 \, \int \frac{1}{b^{2} n x^{3} \log\left(x^{n}\right) + {\left(b^{2} n \log\left(c\right) + a b n\right)} x^{3}}\,{d x}"," ",0,"-1/(b^2*n*x^2*log(x^n) + (b^2*n*log(c) + a*b*n)*x^2) - 2*integrate(1/(b^2*n*x^3*log(x^n) + (b^2*n*log(c) + a*b*n)*x^3), x)","F",0
80,0,0,0,0.000000," ","integrate(1/x^4/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{1}{b^{2} n x^{3} \log\left(x^{n}\right) + {\left(b^{2} n \log\left(c\right) + a b n\right)} x^{3}} - 3 \, \int \frac{1}{b^{2} n x^{4} \log\left(x^{n}\right) + {\left(b^{2} n \log\left(c\right) + a b n\right)} x^{4}}\,{d x}"," ",0,"-1/(b^2*n*x^3*log(x^n) + (b^2*n*log(c) + a*b*n)*x^3) - 3*integrate(1/(b^2*n*x^4*log(x^n) + (b^2*n*log(c) + a*b*n)*x^4), x)","F",0
81,0,0,0,0.000000," ","integrate(x^3/(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","-\frac{4 \, b x^{4} \log\left(x^{n}\right) + {\left(b {\left(n + 4 \, \log\left(c\right)\right)} + 4 \, a\right)} x^{4}}{2 \, {\left(b^{4} n^{2} \log\left(c\right)^{2} + b^{4} n^{2} \log\left(x^{n}\right)^{2} + 2 \, a b^{3} n^{2} \log\left(c\right) + a^{2} b^{2} n^{2} + 2 \, {\left(b^{4} n^{2} \log\left(c\right) + a b^{3} n^{2}\right)} \log\left(x^{n}\right)\right)}} + 8 \, \int \frac{x^{3}}{b^{3} n^{2} \log\left(c\right) + b^{3} n^{2} \log\left(x^{n}\right) + a b^{2} n^{2}}\,{d x}"," ",0,"-1/2*(4*b*x^4*log(x^n) + (b*(n + 4*log(c)) + 4*a)*x^4)/(b^4*n^2*log(c)^2 + b^4*n^2*log(x^n)^2 + 2*a*b^3*n^2*log(c) + a^2*b^2*n^2 + 2*(b^4*n^2*log(c) + a*b^3*n^2)*log(x^n)) + 8*integrate(x^3/(b^3*n^2*log(c) + b^3*n^2*log(x^n) + a*b^2*n^2), x)","F",0
82,0,0,0,0.000000," ","integrate(x^2/(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","-\frac{3 \, b x^{3} \log\left(x^{n}\right) + {\left(b {\left(n + 3 \, \log\left(c\right)\right)} + 3 \, a\right)} x^{3}}{2 \, {\left(b^{4} n^{2} \log\left(c\right)^{2} + b^{4} n^{2} \log\left(x^{n}\right)^{2} + 2 \, a b^{3} n^{2} \log\left(c\right) + a^{2} b^{2} n^{2} + 2 \, {\left(b^{4} n^{2} \log\left(c\right) + a b^{3} n^{2}\right)} \log\left(x^{n}\right)\right)}} + 9 \, \int \frac{x^{2}}{2 \, {\left(b^{3} n^{2} \log\left(c\right) + b^{3} n^{2} \log\left(x^{n}\right) + a b^{2} n^{2}\right)}}\,{d x}"," ",0,"-1/2*(3*b*x^3*log(x^n) + (b*(n + 3*log(c)) + 3*a)*x^3)/(b^4*n^2*log(c)^2 + b^4*n^2*log(x^n)^2 + 2*a*b^3*n^2*log(c) + a^2*b^2*n^2 + 2*(b^4*n^2*log(c) + a*b^3*n^2)*log(x^n)) + 9*integrate(1/2*x^2/(b^3*n^2*log(c) + b^3*n^2*log(x^n) + a*b^2*n^2), x)","F",0
83,0,0,0,0.000000," ","integrate(x/(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","-\frac{2 \, b x^{2} \log\left(x^{n}\right) + {\left(b {\left(n + 2 \, \log\left(c\right)\right)} + 2 \, a\right)} x^{2}}{2 \, {\left(b^{4} n^{2} \log\left(c\right)^{2} + b^{4} n^{2} \log\left(x^{n}\right)^{2} + 2 \, a b^{3} n^{2} \log\left(c\right) + a^{2} b^{2} n^{2} + 2 \, {\left(b^{4} n^{2} \log\left(c\right) + a b^{3} n^{2}\right)} \log\left(x^{n}\right)\right)}} + 2 \, \int \frac{x}{b^{3} n^{2} \log\left(c\right) + b^{3} n^{2} \log\left(x^{n}\right) + a b^{2} n^{2}}\,{d x}"," ",0,"-1/2*(2*b*x^2*log(x^n) + (b*(n + 2*log(c)) + 2*a)*x^2)/(b^4*n^2*log(c)^2 + b^4*n^2*log(x^n)^2 + 2*a*b^3*n^2*log(c) + a^2*b^2*n^2 + 2*(b^4*n^2*log(c) + a*b^3*n^2)*log(x^n)) + 2*integrate(x/(b^3*n^2*log(c) + b^3*n^2*log(x^n) + a*b^2*n^2), x)","F",0
84,0,0,0,0.000000," ","integrate(1/(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","-\frac{b x \log\left(x^{n}\right) + {\left(b {\left(n + \log\left(c\right)\right)} + a\right)} x}{2 \, {\left(b^{4} n^{2} \log\left(c\right)^{2} + b^{4} n^{2} \log\left(x^{n}\right)^{2} + 2 \, a b^{3} n^{2} \log\left(c\right) + a^{2} b^{2} n^{2} + 2 \, {\left(b^{4} n^{2} \log\left(c\right) + a b^{3} n^{2}\right)} \log\left(x^{n}\right)\right)}} + \int \frac{1}{2 \, {\left(b^{3} n^{2} \log\left(c\right) + b^{3} n^{2} \log\left(x^{n}\right) + a b^{2} n^{2}\right)}}\,{d x}"," ",0,"-1/2*(b*x*log(x^n) + (b*(n + log(c)) + a)*x)/(b^4*n^2*log(c)^2 + b^4*n^2*log(x^n)^2 + 2*a*b^3*n^2*log(c) + a^2*b^2*n^2 + 2*(b^4*n^2*log(c) + a*b^3*n^2)*log(x^n)) + integrate(1/2/(b^3*n^2*log(c) + b^3*n^2*log(x^n) + a*b^2*n^2), x)","F",0
85,1,20,0,0.576207," ","integrate(1/x/(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(b \log\left(c x^{n}\right) + a\right)}^{2} b n}"," ",0,"-1/2/((b*log(c*x^n) + 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=""maxima"")","-\frac{b {\left(n - \log\left(c\right)\right)} - b \log\left(x^{n}\right) - a}{2 \, {\left(b^{4} n^{2} x \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{4} n^{2} \log\left(c\right) + a b^{3} n^{2}\right)} x \log\left(x^{n}\right) + {\left(b^{4} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} n^{2} \log\left(c\right) + a^{2} b^{2} n^{2}\right)} x\right)}} + \int \frac{1}{2 \, {\left(b^{3} n^{2} x^{2} \log\left(x^{n}\right) + {\left(b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} x^{2}\right)}}\,{d x}"," ",0,"-1/2*(b*(n - log(c)) - b*log(x^n) - a)/(b^4*n^2*x*log(x^n)^2 + 2*(b^4*n^2*log(c) + a*b^3*n^2)*x*log(x^n) + (b^4*n^2*log(c)^2 + 2*a*b^3*n^2*log(c) + a^2*b^2*n^2)*x) + integrate(1/2/(b^3*n^2*x^2*log(x^n) + (b^3*n^2*log(c) + a*b^2*n^2)*x^2), x)","F",0
87,0,0,0,0.000000," ","integrate(1/x^3/(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","-\frac{b {\left(n - 2 \, \log\left(c\right)\right)} - 2 \, b \log\left(x^{n}\right) - 2 \, a}{2 \, {\left(b^{4} n^{2} x^{2} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{4} n^{2} \log\left(c\right) + a b^{3} n^{2}\right)} x^{2} \log\left(x^{n}\right) + {\left(b^{4} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} n^{2} \log\left(c\right) + a^{2} b^{2} n^{2}\right)} x^{2}\right)}} + 2 \, \int \frac{1}{b^{3} n^{2} x^{3} \log\left(x^{n}\right) + {\left(b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} x^{3}}\,{d x}"," ",0,"-1/2*(b*(n - 2*log(c)) - 2*b*log(x^n) - 2*a)/(b^4*n^2*x^2*log(x^n)^2 + 2*(b^4*n^2*log(c) + a*b^3*n^2)*x^2*log(x^n) + (b^4*n^2*log(c)^2 + 2*a*b^3*n^2*log(c) + a^2*b^2*n^2)*x^2) + 2*integrate(1/(b^3*n^2*x^3*log(x^n) + (b^3*n^2*log(c) + a*b^2*n^2)*x^3), x)","F",0
88,0,0,0,0.000000," ","integrate(1/x^4/(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","-\frac{b {\left(n - 3 \, \log\left(c\right)\right)} - 3 \, b \log\left(x^{n}\right) - 3 \, a}{2 \, {\left(b^{4} n^{2} x^{3} \log\left(x^{n}\right)^{2} + 2 \, {\left(b^{4} n^{2} \log\left(c\right) + a b^{3} n^{2}\right)} x^{3} \log\left(x^{n}\right) + {\left(b^{4} n^{2} \log\left(c\right)^{2} + 2 \, a b^{3} n^{2} \log\left(c\right) + a^{2} b^{2} n^{2}\right)} x^{3}\right)}} + 9 \, \int \frac{1}{2 \, {\left(b^{3} n^{2} x^{4} \log\left(x^{n}\right) + {\left(b^{3} n^{2} \log\left(c\right) + a b^{2} n^{2}\right)} x^{4}\right)}}\,{d x}"," ",0,"-1/2*(b*(n - 3*log(c)) - 3*b*log(x^n) - 3*a)/(b^4*n^2*x^3*log(x^n)^2 + 2*(b^4*n^2*log(c) + a*b^3*n^2)*x^3*log(x^n) + (b^4*n^2*log(c)^2 + 2*a*b^3*n^2*log(c) + a^2*b^2*n^2)*x^3) + 9*integrate(1/2/(b^3*n^2*x^4*log(x^n) + (b^3*n^2*log(c) + a*b^2*n^2)*x^4), x)","F",0
89,1,41,0,0.533086," ","integrate((d*x)^(5/2)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{4 \, \left(d x\right)^{\frac{7}{2}} b n}{49 \, d} + \frac{2 \, \left(d x\right)^{\frac{7}{2}} b \log\left(c x^{n}\right)}{7 \, d} + \frac{2 \, \left(d x\right)^{\frac{7}{2}} a}{7 \, d}"," ",0,"-4/49*(d*x)^(7/2)*b*n/d + 2/7*(d*x)^(7/2)*b*log(c*x^n)/d + 2/7*(d*x)^(7/2)*a/d","A",0
90,1,41,0,0.555605," ","integrate((d*x)^(3/2)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{4 \, \left(d x\right)^{\frac{5}{2}} b n}{25 \, d} + \frac{2 \, \left(d x\right)^{\frac{5}{2}} b \log\left(c x^{n}\right)}{5 \, d} + \frac{2 \, \left(d x\right)^{\frac{5}{2}} a}{5 \, d}"," ",0,"-4/25*(d*x)^(5/2)*b*n/d + 2/5*(d*x)^(5/2)*b*log(c*x^n)/d + 2/5*(d*x)^(5/2)*a/d","A",0
91,1,41,0,0.533802," ","integrate((d*x)^(1/2)*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{4 \, \left(d x\right)^{\frac{3}{2}} b n}{9 \, d} + \frac{2 \, \left(d x\right)^{\frac{3}{2}} b \log\left(c x^{n}\right)}{3 \, d} + \frac{2 \, \left(d x\right)^{\frac{3}{2}} a}{3 \, d}"," ",0,"-4/9*(d*x)^(3/2)*b*n/d + 2/3*(d*x)^(3/2)*b*log(c*x^n)/d + 2/3*(d*x)^(3/2)*a/d","A",0
92,1,41,0,0.559716," ","integrate((a+b*log(c*x^n))/(d*x)^(1/2),x, algorithm=""maxima"")","-\frac{4 \, \sqrt{d x} b n}{d} + \frac{2 \, \sqrt{d x} b \log\left(c x^{n}\right)}{d} + \frac{2 \, \sqrt{d x} a}{d}"," ",0,"-4*sqrt(d*x)*b*n/d + 2*sqrt(d*x)*b*log(c*x^n)/d + 2*sqrt(d*x)*a/d","A",0
93,1,41,0,0.551834," ","integrate((a+b*log(c*x^n))/(d*x)^(3/2),x, algorithm=""maxima"")","-\frac{4 \, b n}{\sqrt{d x} d} - \frac{2 \, b \log\left(c x^{n}\right)}{\sqrt{d x} d} - \frac{2 \, a}{\sqrt{d x} d}"," ",0,"-4*b*n/(sqrt(d*x)*d) - 2*b*log(c*x^n)/(sqrt(d*x)*d) - 2*a/(sqrt(d*x)*d)","A",0
94,1,41,0,0.630160," ","integrate((a+b*log(c*x^n))/(d*x)^(5/2),x, algorithm=""maxima"")","-\frac{4 \, b n}{9 \, \left(d x\right)^{\frac{3}{2}} d} - \frac{2 \, b \log\left(c x^{n}\right)}{3 \, \left(d x\right)^{\frac{3}{2}} d} - \frac{2 \, a}{3 \, \left(d x\right)^{\frac{3}{2}} d}"," ",0,"-4/9*b*n/((d*x)^(3/2)*d) - 2/3*b*log(c*x^n)/((d*x)^(3/2)*d) - 2/3*a/((d*x)^(3/2)*d)","A",0
95,1,102,0,0.594014," ","integrate((d*x)^(5/2)*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{2 \, \left(d x\right)^{\frac{7}{2}} b^{2} \log\left(c x^{n}\right)^{2}}{7 \, d} - \frac{8 \, \left(d x\right)^{\frac{7}{2}} a b n}{49 \, d} + \frac{4 \, \left(d x\right)^{\frac{7}{2}} a b \log\left(c x^{n}\right)}{7 \, d} + \frac{2 \, \left(d x\right)^{\frac{7}{2}} a^{2}}{7 \, d} + \frac{8}{343} \, {\left(\frac{2 \, \left(d x\right)^{\frac{7}{2}} n^{2}}{d} - \frac{7 \, \left(d x\right)^{\frac{7}{2}} n \log\left(c x^{n}\right)}{d}\right)} b^{2}"," ",0,"2/7*(d*x)^(7/2)*b^2*log(c*x^n)^2/d - 8/49*(d*x)^(7/2)*a*b*n/d + 4/7*(d*x)^(7/2)*a*b*log(c*x^n)/d + 2/7*(d*x)^(7/2)*a^2/d + 8/343*(2*(d*x)^(7/2)*n^2/d - 7*(d*x)^(7/2)*n*log(c*x^n)/d)*b^2","A",0
96,1,102,0,0.621812," ","integrate((d*x)^(3/2)*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{2 \, \left(d x\right)^{\frac{5}{2}} b^{2} \log\left(c x^{n}\right)^{2}}{5 \, d} - \frac{8 \, \left(d x\right)^{\frac{5}{2}} a b n}{25 \, d} + \frac{4 \, \left(d x\right)^{\frac{5}{2}} a b \log\left(c x^{n}\right)}{5 \, d} + \frac{2 \, \left(d x\right)^{\frac{5}{2}} a^{2}}{5 \, d} + \frac{8}{125} \, {\left(\frac{2 \, \left(d x\right)^{\frac{5}{2}} n^{2}}{d} - \frac{5 \, \left(d x\right)^{\frac{5}{2}} n \log\left(c x^{n}\right)}{d}\right)} b^{2}"," ",0,"2/5*(d*x)^(5/2)*b^2*log(c*x^n)^2/d - 8/25*(d*x)^(5/2)*a*b*n/d + 4/5*(d*x)^(5/2)*a*b*log(c*x^n)/d + 2/5*(d*x)^(5/2)*a^2/d + 8/125*(2*(d*x)^(5/2)*n^2/d - 5*(d*x)^(5/2)*n*log(c*x^n)/d)*b^2","A",0
97,1,102,0,0.523379," ","integrate((d*x)^(1/2)*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","\frac{2 \, \left(d x\right)^{\frac{3}{2}} b^{2} \log\left(c x^{n}\right)^{2}}{3 \, d} - \frac{8 \, \left(d x\right)^{\frac{3}{2}} a b n}{9 \, d} + \frac{4 \, \left(d x\right)^{\frac{3}{2}} a b \log\left(c x^{n}\right)}{3 \, d} + \frac{8}{27} \, {\left(\frac{2 \, \left(d x\right)^{\frac{3}{2}} n^{2}}{d} - \frac{3 \, \left(d x\right)^{\frac{3}{2}} n \log\left(c x^{n}\right)}{d}\right)} b^{2} + \frac{2 \, \left(d x\right)^{\frac{3}{2}} a^{2}}{3 \, d}"," ",0,"2/3*(d*x)^(3/2)*b^2*log(c*x^n)^2/d - 8/9*(d*x)^(3/2)*a*b*n/d + 4/3*(d*x)^(3/2)*a*b*log(c*x^n)/d + 8/27*(2*(d*x)^(3/2)*n^2/d - 3*(d*x)^(3/2)*n*log(c*x^n)/d)*b^2 + 2/3*(d*x)^(3/2)*a^2/d","A",0
98,1,102,0,0.534174," ","integrate((a+b*log(c*x^n))^2/(d*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{d x} b^{2} \log\left(c x^{n}\right)^{2}}{d} + 8 \, {\left(\frac{2 \, \sqrt{d x} n^{2}}{d} - \frac{\sqrt{d x} n \log\left(c x^{n}\right)}{d}\right)} b^{2} - \frac{8 \, \sqrt{d x} a b n}{d} + \frac{4 \, \sqrt{d x} a b \log\left(c x^{n}\right)}{d} + \frac{2 \, \sqrt{d x} a^{2}}{d}"," ",0,"2*sqrt(d*x)*b^2*log(c*x^n)^2/d + 8*(2*sqrt(d*x)*n^2/d - sqrt(d*x)*n*log(c*x^n)/d)*b^2 - 8*sqrt(d*x)*a*b*n/d + 4*sqrt(d*x)*a*b*log(c*x^n)/d + 2*sqrt(d*x)*a^2/d","A",0
99,1,101,0,0.633728," ","integrate((a+b*log(c*x^n))^2/(d*x)^(3/2),x, algorithm=""maxima"")","-8 \, b^{2} {\left(\frac{2 \, n^{2}}{\sqrt{d x} d} + \frac{n \log\left(c x^{n}\right)}{\sqrt{d x} d}\right)} - \frac{2 \, b^{2} \log\left(c x^{n}\right)^{2}}{\sqrt{d x} d} - \frac{8 \, a b n}{\sqrt{d x} d} - \frac{4 \, a b \log\left(c x^{n}\right)}{\sqrt{d x} d} - \frac{2 \, a^{2}}{\sqrt{d x} d}"," ",0,"-8*b^2*(2*n^2/(sqrt(d*x)*d) + n*log(c*x^n)/(sqrt(d*x)*d)) - 2*b^2*log(c*x^n)^2/(sqrt(d*x)*d) - 8*a*b*n/(sqrt(d*x)*d) - 4*a*b*log(c*x^n)/(sqrt(d*x)*d) - 2*a^2/(sqrt(d*x)*d)","A",0
100,1,102,0,0.656801," ","integrate((a+b*log(c*x^n))^2/(d*x)^(5/2),x, algorithm=""maxima"")","-\frac{8}{27} \, b^{2} {\left(\frac{2 \, n^{2}}{\left(d x\right)^{\frac{3}{2}} d} + \frac{3 \, n \log\left(c x^{n}\right)}{\left(d x\right)^{\frac{3}{2}} d}\right)} - \frac{2 \, b^{2} \log\left(c x^{n}\right)^{2}}{3 \, \left(d x\right)^{\frac{3}{2}} d} - \frac{8 \, a b n}{9 \, \left(d x\right)^{\frac{3}{2}} d} - \frac{4 \, a b \log\left(c x^{n}\right)}{3 \, \left(d x\right)^{\frac{3}{2}} d} - \frac{2 \, a^{2}}{3 \, \left(d x\right)^{\frac{3}{2}} d}"," ",0,"-8/27*b^2*(2*n^2/((d*x)^(3/2)*d) + 3*n*log(c*x^n)/((d*x)^(3/2)*d)) - 2/3*b^2*log(c*x^n)^2/((d*x)^(3/2)*d) - 8/9*a*b*n/((d*x)^(3/2)*d) - 4/3*a*b*log(c*x^n)/((d*x)^(3/2)*d) - 2/3*a^2/((d*x)^(3/2)*d)","A",0
101,0,0,0,0.000000," ","integrate((d*x)^(5/2)/(a+b*log(c*x^n)),x, algorithm=""maxima"")","2 \, b d^{\frac{5}{2}} n \int \frac{x^{\frac{5}{2}}}{7 \, {\left(b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + a^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)\right)}}\,{d x} + \frac{2 \, d^{\frac{5}{2}} x^{\frac{7}{2}}}{7 \, {\left(b \log\left(c\right) + b \log\left(x^{n}\right) + a\right)}}"," ",0,"2*b*d^(5/2)*n*integrate(1/7*x^(5/2)/(b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + a^2 + 2*(b^2*log(c) + a*b)*log(x^n)), x) + 2/7*d^(5/2)*x^(7/2)/(b*log(c) + b*log(x^n) + a)","F",0
102,0,0,0,0.000000," ","integrate((d*x)^(3/2)/(a+b*log(c*x^n)),x, algorithm=""maxima"")","2 \, b d^{\frac{3}{2}} n \int \frac{x^{\frac{3}{2}}}{5 \, {\left(b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + a^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)\right)}}\,{d x} + \frac{2 \, d^{\frac{3}{2}} x^{\frac{5}{2}}}{5 \, {\left(b \log\left(c\right) + b \log\left(x^{n}\right) + a\right)}}"," ",0,"2*b*d^(3/2)*n*integrate(1/5*x^(3/2)/(b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + a^2 + 2*(b^2*log(c) + a*b)*log(x^n)), x) + 2/5*d^(3/2)*x^(5/2)/(b*log(c) + b*log(x^n) + a)","F",0
103,0,0,0,0.000000," ","integrate((d*x)^(1/2)/(a+b*log(c*x^n)),x, algorithm=""maxima"")","2 \, b \sqrt{d} n \int \frac{\sqrt{x}}{3 \, {\left(b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + a^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)\right)}}\,{d x} + \frac{2 \, \sqrt{d} x^{\frac{3}{2}}}{3 \, {\left(b \log\left(c\right) + b \log\left(x^{n}\right) + a\right)}}"," ",0,"2*b*sqrt(d)*n*integrate(1/3*sqrt(x)/(b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + a^2 + 2*(b^2*log(c) + a*b)*log(x^n)), x) + 2/3*sqrt(d)*x^(3/2)/(b*log(c) + b*log(x^n) + a)","F",0
104,0,0,0,0.000000," ","integrate(1/(d*x)^(1/2)/(a+b*log(c*x^n)),x, algorithm=""maxima"")","2 \, b n \int \frac{1}{{\left(b^{2} \sqrt{d} \log\left(c\right)^{2} + b^{2} \sqrt{d} \log\left(x^{n}\right)^{2} + 2 \, a b \sqrt{d} \log\left(c\right) + a^{2} \sqrt{d} + 2 \, {\left(b^{2} \sqrt{d} \log\left(c\right) + a b \sqrt{d}\right)} \log\left(x^{n}\right)\right)} \sqrt{x}}\,{d x} + \frac{2 \, \sqrt{x}}{b \sqrt{d} \log\left(c\right) + b \sqrt{d} \log\left(x^{n}\right) + a \sqrt{d}}"," ",0,"2*b*n*integrate(1/((b^2*sqrt(d)*log(c)^2 + b^2*sqrt(d)*log(x^n)^2 + 2*a*b*sqrt(d)*log(c) + a^2*sqrt(d) + 2*(b^2*sqrt(d)*log(c) + a*b*sqrt(d))*log(x^n))*sqrt(x)), x) + 2*sqrt(x)/(b*sqrt(d)*log(c) + b*sqrt(d)*log(x^n) + a*sqrt(d))","F",0
105,0,0,0,0.000000," ","integrate(1/(d*x)^(3/2)/(a+b*log(c*x^n)),x, algorithm=""maxima"")","-2 \, b n \int \frac{1}{{\left(b^{2} d^{\frac{3}{2}} \log\left(c\right)^{2} + b^{2} d^{\frac{3}{2}} \log\left(x^{n}\right)^{2} + 2 \, a b d^{\frac{3}{2}} \log\left(c\right) + a^{2} d^{\frac{3}{2}} + 2 \, {\left(b^{2} d^{\frac{3}{2}} \log\left(c\right) + a b d^{\frac{3}{2}}\right)} \log\left(x^{n}\right)\right)} x^{\frac{3}{2}}}\,{d x} - \frac{2}{{\left(b d^{\frac{3}{2}} \log\left(c\right) + b d^{\frac{3}{2}} \log\left(x^{n}\right) + a d^{\frac{3}{2}}\right)} \sqrt{x}}"," ",0,"-2*b*n*integrate(1/((b^2*d^(3/2)*log(c)^2 + b^2*d^(3/2)*log(x^n)^2 + 2*a*b*d^(3/2)*log(c) + a^2*d^(3/2) + 2*(b^2*d^(3/2)*log(c) + a*b*d^(3/2))*log(x^n))*x^(3/2)), x) - 2/((b*d^(3/2)*log(c) + b*d^(3/2)*log(x^n) + a*d^(3/2))*sqrt(x))","F",0
106,0,0,0,0.000000," ","integrate(1/(d*x)^(5/2)/(a+b*log(c*x^n)),x, algorithm=""maxima"")","-2 \, b n \int \frac{1}{3 \, {\left(b^{2} d^{\frac{5}{2}} \log\left(c\right)^{2} + b^{2} d^{\frac{5}{2}} \log\left(x^{n}\right)^{2} + 2 \, a b d^{\frac{5}{2}} \log\left(c\right) + a^{2} d^{\frac{5}{2}} + 2 \, {\left(b^{2} d^{\frac{5}{2}} \log\left(c\right) + a b d^{\frac{5}{2}}\right)} \log\left(x^{n}\right)\right)} x^{\frac{5}{2}}}\,{d x} - \frac{2}{3 \, {\left(b d^{\frac{5}{2}} \log\left(c\right) + b d^{\frac{5}{2}} \log\left(x^{n}\right) + a d^{\frac{5}{2}}\right)} x^{\frac{3}{2}}}"," ",0,"-2*b*n*integrate(1/3/((b^2*d^(5/2)*log(c)^2 + b^2*d^(5/2)*log(x^n)^2 + 2*a*b*d^(5/2)*log(c) + a^2*d^(5/2) + 2*(b^2*d^(5/2)*log(c) + a*b*d^(5/2))*log(x^n))*x^(5/2)), x) - 2/3/((b*d^(5/2)*log(c) + b*d^(5/2)*log(x^n) + a*d^(5/2))*x^(3/2))","F",0
107,0,0,0,0.000000," ","integrate((d*x)^(5/2)/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","4 \, b d^{\frac{5}{2}} n \int \frac{x^{\frac{5}{2}}}{7 \, {\left(b^{3} \log\left(c\right)^{3} + b^{3} \log\left(x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + a^{3} + 3 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} + 2 \, a b^{2} \log\left(c\right) + a^{2} b\right)} \log\left(x^{n}\right)\right)}}\,{d x} + \frac{2 \, d^{\frac{5}{2}} x^{\frac{7}{2}}}{7 \, {\left(b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + a^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)\right)}}"," ",0,"4*b*d^(5/2)*n*integrate(1/7*x^(5/2)/(b^3*log(c)^3 + b^3*log(x^n)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + a^3 + 3*(b^3*log(c) + a*b^2)*log(x^n)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(x^n)), x) + 2/7*d^(5/2)*x^(7/2)/(b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + a^2 + 2*(b^2*log(c) + a*b)*log(x^n))","F",0
108,0,0,0,0.000000," ","integrate((d*x)^(3/2)/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","4 \, b d^{\frac{3}{2}} n \int \frac{x^{\frac{3}{2}}}{5 \, {\left(b^{3} \log\left(c\right)^{3} + b^{3} \log\left(x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + a^{3} + 3 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} + 2 \, a b^{2} \log\left(c\right) + a^{2} b\right)} \log\left(x^{n}\right)\right)}}\,{d x} + \frac{2 \, d^{\frac{3}{2}} x^{\frac{5}{2}}}{5 \, {\left(b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + a^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)\right)}}"," ",0,"4*b*d^(3/2)*n*integrate(1/5*x^(3/2)/(b^3*log(c)^3 + b^3*log(x^n)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + a^3 + 3*(b^3*log(c) + a*b^2)*log(x^n)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(x^n)), x) + 2/5*d^(3/2)*x^(5/2)/(b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + a^2 + 2*(b^2*log(c) + a*b)*log(x^n))","F",0
109,0,0,0,0.000000," ","integrate((d*x)^(1/2)/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","4 \, b \sqrt{d} n \int \frac{\sqrt{x}}{3 \, {\left(b^{3} \log\left(c\right)^{3} + b^{3} \log\left(x^{n}\right)^{3} + 3 \, a b^{2} \log\left(c\right)^{2} + 3 \, a^{2} b \log\left(c\right) + a^{3} + 3 \, {\left(b^{3} \log\left(c\right) + a b^{2}\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left(b^{3} \log\left(c\right)^{2} + 2 \, a b^{2} \log\left(c\right) + a^{2} b\right)} \log\left(x^{n}\right)\right)}}\,{d x} + \frac{2 \, \sqrt{d} x^{\frac{3}{2}}}{3 \, {\left(b^{2} \log\left(c\right)^{2} + b^{2} \log\left(x^{n}\right)^{2} + 2 \, a b \log\left(c\right) + a^{2} + 2 \, {\left(b^{2} \log\left(c\right) + a b\right)} \log\left(x^{n}\right)\right)}}"," ",0,"4*b*sqrt(d)*n*integrate(1/3*sqrt(x)/(b^3*log(c)^3 + b^3*log(x^n)^3 + 3*a*b^2*log(c)^2 + 3*a^2*b*log(c) + a^3 + 3*(b^3*log(c) + a*b^2)*log(x^n)^2 + 3*(b^3*log(c)^2 + 2*a*b^2*log(c) + a^2*b)*log(x^n)), x) + 2/3*sqrt(d)*x^(3/2)/(b^2*log(c)^2 + b^2*log(x^n)^2 + 2*a*b*log(c) + a^2 + 2*(b^2*log(c) + a*b)*log(x^n))","F",0
110,0,0,0,0.000000," ","integrate(1/(d*x)^(1/2)/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","4 \, b n \int \frac{1}{{\left(b^{3} \sqrt{d} \log\left(c\right)^{3} + b^{3} \sqrt{d} \log\left(x^{n}\right)^{3} + 3 \, a b^{2} \sqrt{d} \log\left(c\right)^{2} + 3 \, a^{2} b \sqrt{d} \log\left(c\right) + a^{3} \sqrt{d} + 3 \, {\left(b^{3} \sqrt{d} \log\left(c\right) + a b^{2} \sqrt{d}\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left(b^{3} \sqrt{d} \log\left(c\right)^{2} + 2 \, a b^{2} \sqrt{d} \log\left(c\right) + a^{2} b \sqrt{d}\right)} \log\left(x^{n}\right)\right)} \sqrt{x}}\,{d x} + \frac{2 \, \sqrt{x}}{b^{2} \sqrt{d} \log\left(c\right)^{2} + b^{2} \sqrt{d} \log\left(x^{n}\right)^{2} + 2 \, a b \sqrt{d} \log\left(c\right) + a^{2} \sqrt{d} + 2 \, {\left(b^{2} \sqrt{d} \log\left(c\right) + a b \sqrt{d}\right)} \log\left(x^{n}\right)}"," ",0,"4*b*n*integrate(1/((b^3*sqrt(d)*log(c)^3 + b^3*sqrt(d)*log(x^n)^3 + 3*a*b^2*sqrt(d)*log(c)^2 + 3*a^2*b*sqrt(d)*log(c) + a^3*sqrt(d) + 3*(b^3*sqrt(d)*log(c) + a*b^2*sqrt(d))*log(x^n)^2 + 3*(b^3*sqrt(d)*log(c)^2 + 2*a*b^2*sqrt(d)*log(c) + a^2*b*sqrt(d))*log(x^n))*sqrt(x)), x) + 2*sqrt(x)/(b^2*sqrt(d)*log(c)^2 + b^2*sqrt(d)*log(x^n)^2 + 2*a*b*sqrt(d)*log(c) + a^2*sqrt(d) + 2*(b^2*sqrt(d)*log(c) + a*b*sqrt(d))*log(x^n))","F",0
111,0,0,0,0.000000," ","integrate(1/(d*x)^(3/2)/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-4 \, b n \int \frac{1}{{\left(b^{3} d^{\frac{3}{2}} \log\left(c\right)^{3} + b^{3} d^{\frac{3}{2}} \log\left(x^{n}\right)^{3} + 3 \, a b^{2} d^{\frac{3}{2}} \log\left(c\right)^{2} + 3 \, a^{2} b d^{\frac{3}{2}} \log\left(c\right) + a^{3} d^{\frac{3}{2}} + 3 \, {\left(b^{3} d^{\frac{3}{2}} \log\left(c\right) + a b^{2} d^{\frac{3}{2}}\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left(b^{3} d^{\frac{3}{2}} \log\left(c\right)^{2} + 2 \, a b^{2} d^{\frac{3}{2}} \log\left(c\right) + a^{2} b d^{\frac{3}{2}}\right)} \log\left(x^{n}\right)\right)} x^{\frac{3}{2}}}\,{d x} - \frac{2}{{\left(b^{2} d^{\frac{3}{2}} \log\left(c\right)^{2} + b^{2} d^{\frac{3}{2}} \log\left(x^{n}\right)^{2} + 2 \, a b d^{\frac{3}{2}} \log\left(c\right) + a^{2} d^{\frac{3}{2}} + 2 \, {\left(b^{2} d^{\frac{3}{2}} \log\left(c\right) + a b d^{\frac{3}{2}}\right)} \log\left(x^{n}\right)\right)} \sqrt{x}}"," ",0,"-4*b*n*integrate(1/((b^3*d^(3/2)*log(c)^3 + b^3*d^(3/2)*log(x^n)^3 + 3*a*b^2*d^(3/2)*log(c)^2 + 3*a^2*b*d^(3/2)*log(c) + a^3*d^(3/2) + 3*(b^3*d^(3/2)*log(c) + a*b^2*d^(3/2))*log(x^n)^2 + 3*(b^3*d^(3/2)*log(c)^2 + 2*a*b^2*d^(3/2)*log(c) + a^2*b*d^(3/2))*log(x^n))*x^(3/2)), x) - 2/((b^2*d^(3/2)*log(c)^2 + b^2*d^(3/2)*log(x^n)^2 + 2*a*b*d^(3/2)*log(c) + a^2*d^(3/2) + 2*(b^2*d^(3/2)*log(c) + a*b*d^(3/2))*log(x^n))*sqrt(x))","F",0
112,0,0,0,0.000000," ","integrate(1/(d*x)^(5/2)/(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-4 \, b n \int \frac{1}{3 \, {\left(b^{3} d^{\frac{5}{2}} \log\left(c\right)^{3} + b^{3} d^{\frac{5}{2}} \log\left(x^{n}\right)^{3} + 3 \, a b^{2} d^{\frac{5}{2}} \log\left(c\right)^{2} + 3 \, a^{2} b d^{\frac{5}{2}} \log\left(c\right) + a^{3} d^{\frac{5}{2}} + 3 \, {\left(b^{3} d^{\frac{5}{2}} \log\left(c\right) + a b^{2} d^{\frac{5}{2}}\right)} \log\left(x^{n}\right)^{2} + 3 \, {\left(b^{3} d^{\frac{5}{2}} \log\left(c\right)^{2} + 2 \, a b^{2} d^{\frac{5}{2}} \log\left(c\right) + a^{2} b d^{\frac{5}{2}}\right)} \log\left(x^{n}\right)\right)} x^{\frac{5}{2}}}\,{d x} - \frac{2}{3 \, {\left(b^{2} d^{\frac{5}{2}} \log\left(c\right)^{2} + b^{2} d^{\frac{5}{2}} \log\left(x^{n}\right)^{2} + 2 \, a b d^{\frac{5}{2}} \log\left(c\right) + a^{2} d^{\frac{5}{2}} + 2 \, {\left(b^{2} d^{\frac{5}{2}} \log\left(c\right) + a b d^{\frac{5}{2}}\right)} \log\left(x^{n}\right)\right)} x^{\frac{3}{2}}}"," ",0,"-4*b*n*integrate(1/3/((b^3*d^(5/2)*log(c)^3 + b^3*d^(5/2)*log(x^n)^3 + 3*a*b^2*d^(5/2)*log(c)^2 + 3*a^2*b*d^(5/2)*log(c) + a^3*d^(5/2) + 3*(b^3*d^(5/2)*log(c) + a*b^2*d^(5/2))*log(x^n)^2 + 3*(b^3*d^(5/2)*log(c)^2 + 2*a*b^2*d^(5/2)*log(c) + a^2*b*d^(5/2))*log(x^n))*x^(5/2)), x) - 2/3/((b^2*d^(5/2)*log(c)^2 + b^2*d^(5/2)*log(x^n)^2 + 2*a*b*d^(5/2)*log(c) + a^2*d^(5/2) + 2*(b^2*d^(5/2)*log(c) + a*b*d^(5/2))*log(x^n))*x^(3/2))","F",0
113,0,0,0,0.000000," ","integrate((a+b*log(c*x^n))^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\int \sqrt{\log\left(a x^{n}\right)}\,{d x}"," ",0,"integrate(sqrt(log(a*x^n)), x)","F",0
118,1,13,0,0.638176," ","integrate(log(a*x^n)^(1/2)/x,x, algorithm=""maxima"")","\frac{2 \, \log\left(a x^{n}\right)^{\frac{3}{2}}}{3 \, n}"," ",0,"2/3*log(a*x^n)^(3/2)/n","A",0
119,0,0,0,0.000000," ","integrate(log(a*x^n)^(1/2)/x^2,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\int \log\left(a x^{n}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(log(a*x^n)^(3/2), x)","F",0
125,1,13,0,0.611921," ","integrate(log(a*x^n)^(3/2)/x,x, algorithm=""maxima"")","\frac{2 \, \log\left(a x^{n}\right)^{\frac{5}{2}}}{5 \, n}"," ",0,"2/5*log(a*x^n)^(5/2)/n","A",0
126,0,0,0,0.000000," ","integrate(log(a*x^n)^(3/2)/x^2,x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\int \frac{1}{\sqrt{\log\left(a x^{n}\right)}}\,{d x}"," ",0,"integrate(1/sqrt(log(a*x^n)), x)","F",0
132,1,13,0,0.549697," ","integrate(1/x/log(a*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{\log\left(a x^{n}\right)}}{n}"," ",0,"2*sqrt(log(a*x^n))/n","A",0
133,0,0,0,0.000000," ","integrate(1/x^2/log(a*x^n)^(1/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
139,1,13,0,0.697036," ","integrate(1/x/log(a*x^n)^(3/2),x, algorithm=""maxima"")","-\frac{2}{n \sqrt{\log\left(a x^{n}\right)}}"," ",0,"-2/(n*sqrt(log(a*x^n)))","A",0
140,0,0,0,0.000000," ","integrate(1/x^2/log(a*x^n)^(3/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
146,1,13,0,0.806189," ","integrate(1/x/log(a*x^n)^(5/2),x, algorithm=""maxima"")","-\frac{2}{3 \, n \log\left(a x^{n}\right)^{\frac{3}{2}}}"," ",0,"-2/3/(n*log(a*x^n)^(3/2))","A",0
147,0,0,0,0.000000," ","integrate(1/x^2/log(a*x^n)^(5/2),x, algorithm=""maxima"")","\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=""maxima"")","\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
149,1,102,0,0.610177," ","integrate((d*x)^m*(a+a*(1+m)*log(c*x^n)/n),x, algorithm=""maxima"")","-\frac{a d^{m} m x x^{m}}{{\left(m + 1\right)}^{2}} - \frac{a d^{m} x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{\left(d x\right)^{m + 1} a m \log\left(c x^{n}\right)}{d {\left(m + 1\right)} n} + \frac{\left(d x\right)^{m + 1} a}{d {\left(m + 1\right)}} + \frac{\left(d x\right)^{m + 1} a \log\left(c x^{n}\right)}{d {\left(m + 1\right)} n}"," ",0,"-a*d^m*m*x*x^m/(m + 1)^2 - a*d^m*x*x^m/(m + 1)^2 + (d*x)^(m + 1)*a*m*log(c*x^n)/(d*(m + 1)*n) + (d*x)^(m + 1)*a/(d*(m + 1)) + (d*x)^(m + 1)*a*log(c*x^n)/(d*(m + 1)*n)","B",0
150,1,247,0,0.695674," ","integrate((d*x)^m*(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","-\frac{3 \, a^{2} b d^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{\left(d x\right)^{m + 1} b^{3} \log\left(c x^{n}\right)^{3}}{d {\left(m + 1\right)}} - 6 \, {\left(\frac{d^{m} n x x^{m} \log\left(c x^{n}\right)}{{\left(m + 1\right)}^{2}} - \frac{d^{m} n^{2} x x^{m}}{{\left(m + 1\right)}^{3}}\right)} a b^{2} - 3 \, {\left(\frac{d^{m} n x x^{m} \log\left(c x^{n}\right)^{2}}{{\left(m + 1\right)}^{2}} - \frac{2 \, {\left(\frac{d^{m + 1} n x x^{m} \log\left(c x^{n}\right)}{{\left(m + 1\right)}^{2}} - \frac{d^{m + 1} n^{2} x x^{m}}{{\left(m + 1\right)}^{3}}\right)} n}{d {\left(m + 1\right)}}\right)} b^{3} + \frac{3 \, \left(d x\right)^{m + 1} a b^{2} \log\left(c x^{n}\right)^{2}}{d {\left(m + 1\right)}} + \frac{3 \, \left(d x\right)^{m + 1} a^{2} b \log\left(c x^{n}\right)}{d {\left(m + 1\right)}} + \frac{\left(d x\right)^{m + 1} a^{3}}{d {\left(m + 1\right)}}"," ",0,"-3*a^2*b*d^m*n*x*x^m/(m + 1)^2 + (d*x)^(m + 1)*b^3*log(c*x^n)^3/(d*(m + 1)) - 6*(d^m*n*x*x^m*log(c*x^n)/(m + 1)^2 - d^m*n^2*x*x^m/(m + 1)^3)*a*b^2 - 3*(d^m*n*x*x^m*log(c*x^n)^2/(m + 1)^2 - 2*(d^(m + 1)*n*x*x^m*log(c*x^n)/(m + 1)^2 - d^(m + 1)*n^2*x*x^m/(m + 1)^3)*n/(d*(m + 1)))*b^3 + 3*(d*x)^(m + 1)*a*b^2*log(c*x^n)^2/(d*(m + 1)) + 3*(d*x)^(m + 1)*a^2*b*log(c*x^n)/(d*(m + 1)) + (d*x)^(m + 1)*a^3/(d*(m + 1))","B",0
151,1,132,0,0.713236," ","integrate((d*x)^m*(a+b*log(c*x^n))^2,x, algorithm=""maxima"")","-\frac{2 \, a b d^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} - 2 \, {\left(\frac{d^{m} n x x^{m} \log\left(c x^{n}\right)}{{\left(m + 1\right)}^{2}} - \frac{d^{m} n^{2} x x^{m}}{{\left(m + 1\right)}^{3}}\right)} b^{2} + \frac{\left(d x\right)^{m + 1} b^{2} \log\left(c x^{n}\right)^{2}}{d {\left(m + 1\right)}} + \frac{2 \, \left(d x\right)^{m + 1} a b \log\left(c x^{n}\right)}{d {\left(m + 1\right)}} + \frac{\left(d x\right)^{m + 1} a^{2}}{d {\left(m + 1\right)}}"," ",0,"-2*a*b*d^m*n*x*x^m/(m + 1)^2 - 2*(d^m*n*x*x^m*log(c*x^n)/(m + 1)^2 - d^m*n^2*x*x^m/(m + 1)^3)*b^2 + (d*x)^(m + 1)*b^2*log(c*x^n)^2/(d*(m + 1)) + 2*(d*x)^(m + 1)*a*b*log(c*x^n)/(d*(m + 1)) + (d*x)^(m + 1)*a^2/(d*(m + 1))","A",0
152,1,57,0,0.566935," ","integrate((d*x)^m*(a+b*log(c*x^n)),x, algorithm=""maxima"")","-\frac{b d^{m} n x x^{m}}{{\left(m + 1\right)}^{2}} + \frac{\left(d x\right)^{m + 1} b \log\left(c x^{n}\right)}{d {\left(m + 1\right)}} + \frac{\left(d x\right)^{m + 1} a}{d {\left(m + 1\right)}}"," ",0,"-b*d^m*n*x*x^m/(m + 1)^2 + (d*x)^(m + 1)*b*log(c*x^n)/(d*(m + 1)) + (d*x)^(m + 1)*a/(d*(m + 1))","A",0
153,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*log(c*x^n)),x, algorithm=""maxima"")","\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=""maxima"")","d^{m} {\left(m + 1\right)} \int \frac{x^{m}}{b^{2} n \log\left(c\right) + b^{2} n \log\left(x^{n}\right) + a b n}\,{d x} - \frac{d^{m} x x^{m}}{b^{2} n \log\left(c\right) + b^{2} n \log\left(x^{n}\right) + a b n}"," ",0,"d^m*(m + 1)*integrate(x^m/(b^2*n*log(c) + b^2*n*log(x^n) + a*b*n), x) - d^m*x*x^m/(b^2*n*log(c) + b^2*n*log(x^n) + a*b*n)","F",0
155,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*log(c*x^n))^3,x, algorithm=""maxima"")","{\left(m^{2} + 2 \, m + 1\right)} d^{m} \int \frac{x^{m}}{2 \, {\left(b^{3} n^{2} \log\left(c\right) + b^{3} n^{2} \log\left(x^{n}\right) + a b^{2} n^{2}\right)}}\,{d x} - \frac{b d^{m} {\left(m + 1\right)} x x^{m} \log\left(x^{n}\right) + {\left(a d^{m} {\left(m + 1\right)} + {\left(d^{m} {\left(m + 1\right)} \log\left(c\right) + d^{m} n\right)} b\right)} x x^{m}}{2 \, {\left(b^{4} n^{2} \log\left(c\right)^{2} + b^{4} n^{2} \log\left(x^{n}\right)^{2} + 2 \, a b^{3} n^{2} \log\left(c\right) + a^{2} b^{2} n^{2} + 2 \, {\left(b^{4} n^{2} \log\left(c\right) + a b^{3} n^{2}\right)} \log\left(x^{n}\right)\right)}}"," ",0,"(m^2 + 2*m + 1)*d^m*integrate(1/2*x^m/(b^3*n^2*log(c) + b^3*n^2*log(x^n) + a*b^2*n^2), x) - 1/2*(b*d^m*(m + 1)*x*x^m*log(x^n) + (a*d^m*(m + 1) + (d^m*(m + 1)*log(c) + d^m*n)*b)*x*x^m)/(b^4*n^2*log(c)^2 + b^4*n^2*log(x^n)^2 + 2*a*b^3*n^2*log(c) + a^2*b^2*n^2 + 2*(b^4*n^2*log(c) + a*b^3*n^2)*log(x^n))","F",0
156,1,75,0,0.585831," ","integrate((d*x)^(-1+n)*log(c*x^n)^3,x, algorithm=""maxima"")","-\frac{3 \, d^{n - 1} x^{n} \log\left(c x^{n}\right)^{2}}{n} + \frac{\left(d x\right)^{n} \log\left(c x^{n}\right)^{3}}{d n} + \frac{6 \, {\left(\frac{d^{n} x^{n} \log\left(c x^{n}\right)}{n} - \frac{d^{n} x^{n}}{n}\right)}}{d}"," ",0,"-3*d^(n - 1)*x^n*log(c*x^n)^2/n + (d*x)^n*log(c*x^n)^3/(d*n) + 6*(d^n*x^n*log(c*x^n)/n - d^n*x^n/n)/d","A",0
157,1,53,0,0.741467," ","integrate((d*x)^(-1+n)*log(c*x^n)^2,x, algorithm=""maxima"")","-\frac{2 \, d^{n - 1} x^{n} \log\left(c x^{n}\right)}{n} + \frac{2 \, d^{n - 1} x^{n}}{n} + \frac{\left(d x\right)^{n} \log\left(c x^{n}\right)^{2}}{d n}"," ",0,"-2*d^(n - 1)*x^n*log(c*x^n)/n + 2*d^(n - 1)*x^n/n + (d*x)^n*log(c*x^n)^2/(d*n)","A",0
158,1,32,0,0.665642," ","integrate((d*x)^(-1+n)*log(c*x^n),x, algorithm=""maxima"")","-\frac{d^{n - 1} x^{n}}{n} + \frac{\left(d x\right)^{n} \log\left(c x^{n}\right)}{d n}"," ",0,"-d^(n - 1)*x^n/n + (d*x)^n*log(c*x^n)/(d*n)","A",0
159,0,0,0,0.000000," ","integrate((d*x)^(-1+n)/log(c*x^n),x, algorithm=""maxima"")","\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=""maxima"")","d^{n} \int \frac{x^{n}}{d x \log\left(c\right) + d x \log\left(x^{n}\right)}\,{d x} - \frac{d^{n} x^{n}}{d n \log\left(c\right) + d n \log\left(x^{n}\right)}"," ",0,"d^n*integrate(x^n/(d*x*log(c) + d*x*log(x^n)), x) - d^n*x^n/(d*n*log(c) + d*n*log(x^n))","F",0
161,0,0,0,0.000000," ","integrate((d*x)^(-1+n)/log(c*x^n)^3,x, algorithm=""maxima"")","d^{n} \int \frac{x^{n}}{2 \, {\left(d x \log\left(c\right) + d x \log\left(x^{n}\right)\right)}}\,{d x} - \frac{d^{n} x^{n} \log\left(x^{n}\right) + {\left(d^{n} \log\left(c\right) + d^{n}\right)} x^{n}}{2 \, {\left(d n \log\left(c\right)^{2} + 2 \, d n \log\left(c\right) \log\left(x^{n}\right) + d n \log\left(x^{n}\right)^{2}\right)}}"," ",0,"d^n*integrate(1/2*x^n/(d*x*log(c) + d*x*log(x^n)), x) - 1/2*(d^n*x^n*log(x^n) + (d^n*log(c) + d^n)*x^n)/(d*n*log(c)^2 + 2*d*n*log(c)*log(x^n) + d*n*log(x^n)^2)","F",0
162,0,0,0,0.000000," ","integrate(x^m*log(a*x^n)^(3/2),x, algorithm=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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,-2,0,0,0.000000," ","integrate((d*x)^m*(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
168,-2,0,0,0.000000," ","integrate(x^2*(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
169,-2,0,0,0.000000," ","integrate(x*(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
170,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
171,1,26,0,0.707634," ","integrate((a+b*log(c*x^n))^p/x,x, algorithm=""maxima"")","\frac{{\left(b \log\left(c x^{n}\right) + a\right)}^{p + 1}}{b n {\left(p + 1\right)}}"," ",0,"(b*log(c*x^n) + a)^(p + 1)/(b*n*(p + 1))","A",0
172,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))^p/x^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
173,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))^p/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
174,-2,0,0,0.000000," ","integrate((a+b*log(c*x^n))^p/x^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
175,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*log(c*x))^p,x, algorithm=""maxima"")","\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
176,1,44,0,0.826108," ","integrate(x^2*(a+b*log(c*x))^p,x, algorithm=""maxima"")","-\frac{{\left(b \log\left(c x\right) + a\right)}^{p + 1} e^{\left(-\frac{3 \, a}{b}\right)} E_{-p}\left(-\frac{3 \, {\left(b \log\left(c x\right) + a\right)}}{b}\right)}{b c^{3}}"," ",0,"-(b*log(c*x) + a)^(p + 1)*e^(-3*a/b)*exp_integral_e(-p, -3*(b*log(c*x) + a)/b)/(b*c^3)","A",0
177,1,44,0,0.814449," ","integrate(x*(a+b*log(c*x))^p,x, algorithm=""maxima"")","-\frac{{\left(b \log\left(c x\right) + a\right)}^{p + 1} e^{\left(-\frac{2 \, a}{b}\right)} E_{-p}\left(-\frac{2 \, {\left(b \log\left(c x\right) + a\right)}}{b}\right)}{b c^{2}}"," ",0,"-(b*log(c*x) + a)^(p + 1)*e^(-2*a/b)*exp_integral_e(-p, -2*(b*log(c*x) + a)/b)/(b*c^2)","A",0
178,1,44,0,0.835081," ","integrate((a+b*log(c*x))^p,x, algorithm=""maxima"")","-\frac{{\left(b \log\left(c x\right) + a\right)}^{p + 1} e^{\left(-\frac{a}{b}\right)} E_{-p}\left(-\frac{b \log\left(c x\right) + a}{b}\right)}{b c}"," ",0,"-(b*log(c*x) + a)^(p + 1)*e^(-a/b)*exp_integral_e(-p, -(b*log(c*x) + a)/b)/(b*c)","A",0
179,1,21,0,0.528853," ","integrate((a+b*log(c*x))^p/x,x, algorithm=""maxima"")","\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
180,1,40,0,0.632095," ","integrate((a+b*log(c*x))^p/x^2,x, algorithm=""maxima"")","-\frac{{\left(b \log\left(c x\right) + a\right)}^{p + 1} c e^{\frac{a}{b}} E_{-p}\left(\frac{b \log\left(c x\right) + a}{b}\right)}{b}"," ",0,"-(b*log(c*x) + a)^(p + 1)*c*e^(a/b)*exp_integral_e(-p, (b*log(c*x) + a)/b)/b","A",0
181,1,44,0,0.696446," ","integrate((a+b*log(c*x))^p/x^3,x, algorithm=""maxima"")","-\frac{{\left(b \log\left(c x\right) + a\right)}^{p + 1} c^{2} e^{\left(\frac{2 \, a}{b}\right)} E_{-p}\left(\frac{2 \, {\left(b \log\left(c x\right) + a\right)}}{b}\right)}{b}"," ",0,"-(b*log(c*x) + a)^(p + 1)*c^2*e^(2*a/b)*exp_integral_e(-p, 2*(b*log(c*x) + a)/b)/b","A",0
182,1,44,0,0.691004," ","integrate((a+b*log(c*x))^p/x^4,x, algorithm=""maxima"")","-\frac{{\left(b \log\left(c x\right) + a\right)}^{p + 1} c^{3} e^{\left(\frac{3 \, a}{b}\right)} E_{-p}\left(\frac{3 \, {\left(b \log\left(c x\right) + a\right)}}{b}\right)}{b}"," ",0,"-(b*log(c*x) + a)^(p + 1)*c^3*e^(3*a/b)*exp_integral_e(-p, 3*(b*log(c*x) + a)/b)/b","A",0
183,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*log(c*x^(1/2)))^p,x, algorithm=""maxima"")","\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
184,1,48,0,0.643618," ","integrate(x^2*(a+b*log(c*x^(1/2)))^p,x, algorithm=""maxima"")","-\frac{2 \, {\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p + 1} e^{\left(-\frac{6 \, a}{b}\right)} E_{-p}\left(-\frac{6 \, {\left(b \log\left(c \sqrt{x}\right) + a\right)}}{b}\right)}{b c^{6}}"," ",0,"-2*(b*log(c*sqrt(x)) + a)^(p + 1)*e^(-6*a/b)*exp_integral_e(-p, -6*(b*log(c*sqrt(x)) + a)/b)/(b*c^6)","A",0
185,1,48,0,0.675755," ","integrate(x*(a+b*log(c*x^(1/2)))^p,x, algorithm=""maxima"")","-\frac{2 \, {\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p + 1} e^{\left(-\frac{4 \, a}{b}\right)} E_{-p}\left(-\frac{4 \, {\left(b \log\left(c \sqrt{x}\right) + a\right)}}{b}\right)}{b c^{4}}"," ",0,"-2*(b*log(c*sqrt(x)) + a)^(p + 1)*e^(-4*a/b)*exp_integral_e(-p, -4*(b*log(c*sqrt(x)) + a)/b)/(b*c^4)","A",0
186,1,48,0,0.802172," ","integrate((a+b*log(c*x^(1/2)))^p,x, algorithm=""maxima"")","-\frac{2 \, {\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p + 1} e^{\left(-\frac{2 \, a}{b}\right)} E_{-p}\left(-\frac{2 \, {\left(b \log\left(c \sqrt{x}\right) + a\right)}}{b}\right)}{b c^{2}}"," ",0,"-2*(b*log(c*sqrt(x)) + a)^(p + 1)*e^(-2*a/b)*exp_integral_e(-p, -2*(b*log(c*sqrt(x)) + a)/b)/(b*c^2)","A",0
187,1,24,0,0.557360," ","integrate((a+b*log(c*x^(1/2)))^p/x,x, algorithm=""maxima"")","\frac{2 \, {\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p + 1}}{b {\left(p + 1\right)}}"," ",0,"2*(b*log(c*sqrt(x)) + a)^(p + 1)/(b*(p + 1))","A",0
188,1,48,0,0.969536," ","integrate((a+b*log(c*x^(1/2)))^p/x^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p + 1} c^{2} e^{\left(\frac{2 \, a}{b}\right)} E_{-p}\left(\frac{2 \, {\left(b \log\left(c \sqrt{x}\right) + a\right)}}{b}\right)}{b}"," ",0,"-2*(b*log(c*sqrt(x)) + a)^(p + 1)*c^2*e^(2*a/b)*exp_integral_e(-p, 2*(b*log(c*sqrt(x)) + a)/b)/b","A",0
189,1,48,0,0.784877," ","integrate((a+b*log(c*x^(1/2)))^p/x^3,x, algorithm=""maxima"")","-\frac{2 \, {\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p + 1} c^{4} e^{\left(\frac{4 \, a}{b}\right)} E_{-p}\left(\frac{4 \, {\left(b \log\left(c \sqrt{x}\right) + a\right)}}{b}\right)}{b}"," ",0,"-2*(b*log(c*sqrt(x)) + a)^(p + 1)*c^4*e^(4*a/b)*exp_integral_e(-p, 4*(b*log(c*sqrt(x)) + a)/b)/b","A",0
190,1,48,0,0.768591," ","integrate((a+b*log(c*x^(1/2)))^p/x^4,x, algorithm=""maxima"")","-\frac{2 \, {\left(b \log\left(c \sqrt{x}\right) + a\right)}^{p + 1} c^{6} e^{\left(\frac{6 \, a}{b}\right)} E_{-p}\left(\frac{6 \, {\left(b \log\left(c \sqrt{x}\right) + a\right)}}{b}\right)}{b}"," ",0,"-2*(b*log(c*sqrt(x)) + a)^(p + 1)*c^6*e^(6*a/b)*exp_integral_e(-p, 6*(b*log(c*sqrt(x)) + a)/b)/b","A",0
191,-2,0,0,0.000000," ","integrate(x^(-1+n)*(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
192,0,0,0,0.000000," ","integrate((d*x^q)^m*(a+b*log(c*x^n))^p,x, algorithm=""maxima"")","\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=""maxima"")","\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
