1,1,16,15,0.028000," ","int(x^3*ln(c*x),x)","\frac{x^{4} \ln \left(c x \right)}{4}-\frac{x^{4}}{16}"," ",0,"-1/16*x^4+1/4*x^4*ln(c*x)","A"
2,1,16,15,0.031000," ","int(x^2*ln(c*x),x)","\frac{x^{3} \ln \left(c x \right)}{3}-\frac{x^{3}}{9}"," ",0,"-1/9*x^3+1/3*x^3*ln(c*x)","A"
3,1,16,15,0.030000," ","int(x*ln(c*x),x)","\frac{x^{2} \ln \left(c x \right)}{2}-\frac{x^{2}}{4}"," ",0,"-1/4*x^2+1/2*x^2*ln(c*x)","A"
4,1,11,10,0.023000," ","int(ln(c*x),x)","x \ln \left(c x \right)-x"," ",0,"-x+x*ln(c*x)","A"
5,1,9,8,0.023000," ","int(ln(c*x)/x,x)","\frac{\ln \left(c x \right)^{2}}{2}"," ",0,"1/2*ln(c*x)^2","A"
6,1,16,15,0.033000," ","int(ln(c*x)/x^2,x)","-\frac{\ln \left(c x \right)}{x}-\frac{1}{x}"," ",0,"-1/x-ln(c*x)/x","A"
7,1,16,15,0.030000," ","int(ln(c*x)/x^3,x)","-\frac{\ln \left(c x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}"," ",0,"-1/4/x^2-1/2*ln(c*x)/x^2","A"
8,1,27,26,0.030000," ","int(x^3*ln(c*x)^2,x)","\frac{x^{4} \ln \left(c x \right)^{2}}{4}-\frac{x^{4} \ln \left(c x \right)}{8}+\frac{x^{4}}{32}"," ",0,"1/32*x^4-1/8*x^4*ln(c*x)+1/4*x^4*ln(c*x)^2","A"
9,1,27,26,0.028000," ","int(x^2*ln(c*x)^2,x)","\frac{x^{3} \ln \left(c x \right)^{2}}{3}-\frac{2 x^{3} \ln \left(c x \right)}{9}+\frac{2 x^{3}}{27}"," ",0,"2/27*x^3-2/9*x^3*ln(c*x)+1/3*x^3*ln(c*x)^2","A"
10,1,27,26,0.029000," ","int(x*ln(c*x)^2,x)","\frac{x^{2} \ln \left(c x \right)^{2}}{2}-\frac{x^{2} \ln \left(c x \right)}{2}+\frac{x^{2}}{4}"," ",0,"1/4*x^2-1/2*x^2*ln(c*x)+1/2*x^2*ln(c*x)^2","A"
11,1,20,19,0.031000," ","int(ln(c*x)^2,x)","x \ln \left(c x \right)^{2}-2 x \ln \left(c x \right)+2 x"," ",0,"2*x-2*x*ln(c*x)+x*ln(c*x)^2","A"
12,1,9,8,0.024000," ","int(ln(c*x)^2/x,x)","\frac{\ln \left(c x \right)^{3}}{3}"," ",0,"1/3*ln(c*x)^3","A"
13,1,27,26,0.032000," ","int(ln(c*x)^2/x^2,x)","-\frac{\ln \left(c x \right)^{2}}{x}-\frac{2 \ln \left(c x \right)}{x}-\frac{2}{x}"," ",0,"-2/x-2/x*ln(c*x)-ln(c*x)^2/x","A"
14,1,27,26,0.031000," ","int(ln(c*x)^2/x^3,x)","-\frac{\ln \left(c x \right)^{2}}{2 x^{2}}-\frac{\ln \left(c x \right)}{2 x^{2}}-\frac{1}{4 x^{2}}"," ",0,"-1/4/x^2-1/2/x^2*ln(c*x)-1/2*ln(c*x)^2/x^2","A"
15,1,38,37,0.030000," ","int(x^3*ln(c*x)^3,x)","\frac{x^{4} \ln \left(c x \right)^{3}}{4}-\frac{3 x^{4} \ln \left(c x \right)^{2}}{16}+\frac{3 x^{4} \ln \left(c x \right)}{32}-\frac{3 x^{4}}{128}"," ",0,"-3/128*x^4+3/32*x^4*ln(c*x)-3/16*x^4*ln(c*x)^2+1/4*x^4*ln(c*x)^3","A"
16,1,38,37,0.028000," ","int(x^2*ln(c*x)^3,x)","\frac{x^{3} \ln \left(c x \right)^{3}}{3}-\frac{x^{3} \ln \left(c x \right)^{2}}{3}+\frac{2 x^{3} \ln \left(c x \right)}{9}-\frac{2 x^{3}}{27}"," ",0,"-2/27*x^3+2/9*x^3*ln(c*x)-1/3*x^3*ln(c*x)^2+1/3*x^3*ln(c*x)^3","A"
17,1,38,37,0.031000," ","int(x*ln(c*x)^3,x)","\frac{x^{2} \ln \left(c x \right)^{3}}{2}-\frac{3 x^{2} \ln \left(c x \right)^{2}}{4}+\frac{3 x^{2} \ln \left(c x \right)}{4}-\frac{3 x^{2}}{8}"," ",0,"-3/8*x^2+3/4*x^2*ln(c*x)-3/4*x^2*ln(c*x)^2+1/2*x^2*ln(c*x)^3","A"
18,1,29,28,0.029000," ","int(ln(c*x)^3,x)","x \ln \left(c x \right)^{3}-3 x \ln \left(c x \right)^{2}+6 x \ln \left(c x \right)-6 x"," ",0,"-6*x+6*x*ln(c*x)-3*x*ln(c*x)^2+x*ln(c*x)^3","A"
19,1,9,8,0.025000," ","int(ln(c*x)^3/x,x)","\frac{\ln \left(c x \right)^{4}}{4}"," ",0,"1/4*ln(c*x)^4","A"
20,1,38,37,0.030000," ","int(ln(c*x)^3/x^2,x)","-\frac{\ln \left(c x \right)^{3}}{x}-\frac{3 \ln \left(c x \right)^{2}}{x}-\frac{6 \ln \left(c x \right)}{x}-\frac{6}{x}"," ",0,"-6/x-6/x*ln(c*x)-3/x*ln(c*x)^2-ln(c*x)^3/x","A"
21,1,38,37,0.033000," ","int(ln(c*x)^3/x^3,x)","-\frac{\ln \left(c x \right)^{3}}{2 x^{2}}-\frac{3 \ln \left(c x \right)^{2}}{4 x^{2}}-\frac{3 \ln \left(c x \right)}{4 x^{2}}-\frac{3}{8 x^{2}}"," ",0,"-3/8/x^2-3/4/x^2*ln(c*x)-3/4/x^2*ln(c*x)^2-1/2*ln(c*x)^3/x^2","A"
22,1,14,11,0.037000," ","int(x^3/ln(c*x),x)","-\frac{\Ei \left(1, -4 \ln \left(c x \right)\right)}{c^{4}}"," ",0,"-1/c^4*Ei(1,-4*ln(c*x))","A"
23,1,14,11,0.035000," ","int(x^2/ln(c*x),x)","-\frac{\Ei \left(1, -3 \ln \left(c x \right)\right)}{c^{3}}"," ",0,"-1/c^3*Ei(1,-3*ln(c*x))","A"
24,1,14,11,0.036000," ","int(x/ln(c*x),x)","-\frac{\Ei \left(1, -2 \ln \left(c x \right)\right)}{c^{2}}"," ",0,"-1/c^2*Ei(1,-2*ln(c*x))","A"
25,1,14,8,0.034000," ","int(1/ln(c*x),x)","-\frac{\Ei \left(1, -\ln \left(c x \right)\right)}{c}"," ",0,"-1/c*Ei(1,-ln(c*x))","A"
26,1,6,5,0.025000," ","int(1/x/ln(c*x),x)","\ln \left(\ln \left(c x \right)\right)"," ",0,"ln(ln(c*x))","A"
27,1,10,9,0.036000," ","int(1/x^2/ln(c*x),x)","-c \Ei \left(1, \ln \left(c x \right)\right)"," ",0,"-c*Ei(1,ln(c*x))","A"
28,1,14,11,0.037000," ","int(1/x^3/ln(c*x),x)","-c^{2} \Ei \left(1, 2 \ln \left(c x \right)\right)"," ",0,"-c^2*Ei(1,2*ln(c*x))","A"
29,1,26,24,0.033000," ","int(x^3/ln(c*x)^2,x)","-\frac{x^{4}}{\ln \left(c x \right)}-\frac{4 \Ei \left(1, -4 \ln \left(c x \right)\right)}{c^{4}}"," ",0,"-x^4/ln(c*x)-4/c^4*Ei(1,-4*ln(c*x))","A"
30,1,26,24,0.030000," ","int(x^2/ln(c*x)^2,x)","-\frac{x^{3}}{\ln \left(c x \right)}-\frac{3 \Ei \left(1, -3 \ln \left(c x \right)\right)}{c^{3}}"," ",0,"-x^3/ln(c*x)-3/c^3*Ei(1,-3*ln(c*x))","A"
31,1,26,24,0.033000," ","int(x/ln(c*x)^2,x)","-\frac{x^{2}}{\ln \left(c x \right)}-\frac{2 \Ei \left(1, -2 \ln \left(c x \right)\right)}{c^{2}}"," ",0,"-x^2/ln(c*x)-2/c^2*Ei(1,-2*ln(c*x))","A"
32,1,24,18,0.032000," ","int(1/ln(c*x)^2,x)","-\frac{\Ei \left(1, -\ln \left(c x \right)\right)}{c}-\frac{x}{\ln \left(c x \right)}"," ",0,"-x/ln(c*x)-1/c*Ei(1,-ln(c*x))","A"
33,1,9,8,0.025000," ","int(1/x/ln(c*x)^2,x)","-\frac{1}{\ln \left(c x \right)}"," ",0,"-1/ln(c*x)","A"
34,1,21,22,0.033000," ","int(1/x^2/ln(c*x)^2,x)","c \Ei \left(1, \ln \left(c x \right)\right)-\frac{1}{x \ln \left(c x \right)}"," ",0,"-1/x/ln(c*x)+c*Ei(1,ln(c*x))","A"
35,1,26,24,0.032000," ","int(1/x^3/ln(c*x)^2,x)","2 c^{2} \Ei \left(1, 2 \ln \left(c x \right)\right)-\frac{1}{x^{2} \ln \left(c x \right)}"," ",0,"-1/x^2/ln(c*x)+2*c^2*Ei(1,2*ln(c*x))","A"
36,1,37,35,0.030000," ","int(x^3/ln(c*x)^3,x)","-\frac{2 x^{4}}{\ln \left(c x \right)}-\frac{x^{4}}{2 \ln \left(c x \right)^{2}}-\frac{8 \Ei \left(1, -4 \ln \left(c x \right)\right)}{c^{4}}"," ",0,"-1/2*x^4/ln(c*x)^2-2*x^4/ln(c*x)-8/c^4*Ei(1,-4*ln(c*x))","A"
37,1,37,35,0.032000," ","int(x^2/ln(c*x)^3,x)","-\frac{3 x^{3}}{2 \ln \left(c x \right)}-\frac{x^{3}}{2 \ln \left(c x \right)^{2}}-\frac{9 \Ei \left(1, -3 \ln \left(c x \right)\right)}{2 c^{3}}"," ",0,"-1/2*x^3/ln(c*x)^2-3/2*x^3/ln(c*x)-9/2/c^3*Ei(1,-3*ln(c*x))","A"
38,1,37,35,0.031000," ","int(x/ln(c*x)^3,x)","-\frac{x^{2}}{\ln \left(c x \right)}-\frac{x^{2}}{2 \ln \left(c x \right)^{2}}-\frac{2 \Ei \left(1, -2 \ln \left(c x \right)\right)}{c^{2}}"," ",0,"-1/2*x^2/ln(c*x)^2-x^2/ln(c*x)-2/c^2*Ei(1,-2*ln(c*x))","A"
39,1,33,28,0.031000," ","int(1/ln(c*x)^3,x)","-\frac{\Ei \left(1, -\ln \left(c x \right)\right)}{2 c}-\frac{x}{2 \ln \left(c x \right)}-\frac{x}{2 \ln \left(c x \right)^{2}}"," ",0,"-1/2*x/ln(c*x)^2-1/2*x/ln(c*x)-1/2/c*Ei(1,-ln(c*x))","A"
40,1,9,8,0.025000," ","int(1/x/ln(c*x)^3,x)","-\frac{1}{2 \ln \left(c x \right)^{2}}"," ",0,"-1/2/ln(c*x)^2","A"
41,1,33,33,0.030000," ","int(1/x^2/ln(c*x)^3,x)","-\frac{c \Ei \left(1, \ln \left(c x \right)\right)}{2}+\frac{1}{2 x \ln \left(c x \right)}-\frac{1}{2 x \ln \left(c x \right)^{2}}"," ",0,"-1/2/x/ln(c*x)^2+1/2/x/ln(c*x)-1/2*c*Ei(1,ln(c*x))","A"
42,1,36,34,0.032000," ","int(1/x^3/ln(c*x)^3,x)","-2 c^{2} \Ei \left(1, 2 \ln \left(c x \right)\right)+\frac{1}{x^{2} \ln \left(c x \right)}-\frac{1}{2 x^{2} \ln \left(c x \right)^{2}}"," ",0,"-1/2/x^2/ln(c*x)^2+1/x^2/ln(c*x)-2*c^2*Ei(1,2*ln(c*x))","A"
43,1,112,23,0.224000," ","int(x^3*(a+b*ln(c*x^n)),x)","\frac{b \,x^{4} \ln \left(x^{n}\right)}{4}+\frac{\left(-2 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+2 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-b n +4 b \ln \left(c \right)+4 a \right) x^{4}}{16}"," ",0,"1/4*b*x^4*ln(x^n)+1/16*x^4*(2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*b*Pi*csgn(I*c*x^n)^3+2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+4*b*ln(c)-b*n+4*a)","C"
44,1,112,23,0.175000," ","int(x^2*(a+b*ln(c*x^n)),x)","\frac{b \,x^{3} \ln \left(x^{n}\right)}{3}+\frac{\left(-3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 b n +6 b \ln \left(c \right)+6 a \right) x^{3}}{18}"," ",0,"1/3*b*x^3*ln(x^n)+1/18*x^3*(3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*b*Pi*csgn(I*c*x^n)^3+3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+6*b*ln(c)-2*b*n+6*a)","C"
45,1,29,23,0.048000," ","int(x*(a+b*ln(c*x^n)),x)","-\frac{b n \,x^{2}}{4}+\frac{b \,x^{2} \ln \left(c \,{\mathrm e}^{n \ln \left(x \right)}\right)}{2}+\frac{a \,x^{2}}{2}"," ",0,"1/2*a*x^2+1/2*b*x^2*ln(c*exp(n*ln(x)))-1/4*b*n*x^2","A"
46,1,19,18,0.031000," ","int(a+b*ln(c*x^n),x)","-b n x +b x \ln \left(c \,x^{n}\right)+a x"," ",0,"a*x-b*n*x+b*x*ln(c*x^n)","A"
47,1,27,20,0.026000," ","int((a+b*ln(c*x^n))/x,x)","\frac{b \ln \left(c \,x^{n}\right)^{2}}{2 n}+\frac{a \ln \left(c \,x^{n}\right)}{n}"," ",0,"1/n*a*ln(c*x^n)+1/2/n*b*ln(c*x^n)^2","A"
48,1,112,25,0.118000," ","int((a+b*ln(c*x^n))/x^2,x)","-\frac{b \ln \left(x^{n}\right)}{x}-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b n +2 b \ln \left(c \right)+2 a}{2 x}"," ",0,"-b/x*ln(x^n)-1/2*(I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*b*Pi*csgn(I*c*x^n)^3+I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+2*b*ln(c)+2*b*n+2*a)/x","C"
49,1,111,26,0.114000," ","int((a+b*ln(c*x^n))/x^3,x)","-\frac{b \ln \left(x^{n}\right)}{2 x^{2}}-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+b n +2 b \ln \left(c \right)+2 a}{4 x^{2}}"," ",0,"-1/2*b/x^2*ln(x^n)-1/4*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)+b*n+2*a)/x^2","C"
50,1,691,46,0.209000," ","int(x^3*(a+b*ln(c*x^n))^2,x)","\frac{b^{2} x^{4} \ln \left(x^{n}\right)^{2}}{4}+\frac{\left(-2 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+2 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-b n +4 b \ln \left(c \right)+4 a \right) b \,x^{4} \ln \left(x^{n}\right)}{8}+\frac{\left(-2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-8 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-8 i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-8 i \pi  a b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+8 a^{2}-2 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+8 i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+8 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  a b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+b^{2} n^{2}-2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+4 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-2 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+4 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}+16 a b \ln \left(c \right)-4 b^{2} n \ln \left(c \right)+8 b^{2} \ln \left(c \right)^{2}-4 a b n -2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-8 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-8 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+2 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)\right) x^{4}}{32}"," ",0,"1/4*b^2*x^4*ln(x^n)^2+1/8*b*x^4*(2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*b*Pi*csgn(I*c*x^n)^3+2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+4*b*ln(c)-b*n+4*a)*ln(x^n)+1/32*x^4*(-8*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^3-8*I*Pi*a*b*csgn(I*c*x^n)^3-2*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-8*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+4*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+2*I*Pi*b^2*n*csgn(I*c*x^n)^3+4*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+8*a^2+b^2*n^2+16*ln(c)*a*b-4*ln(c)*b^2*n+8*ln(c)^2*b^2-2*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+4*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-4*a*b*n-2*Pi^2*b^2*csgn(I*c*x^n)^6+4*Pi^2*b^2*csgn(I*c*x^n)^5*csgn(I*c)-2*Pi^2*b^2*csgn(I*c*x^n)^4*csgn(I*c)^2+8*I*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c)-2*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)+8*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+8*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)+8*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2-8*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-8*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))","C"
51,1,692,46,0.209000," ","int(x^2*(a+b*ln(c*x^n))^2,x)","\frac{b^{2} x^{3} \ln \left(x^{n}\right)^{2}}{3}+\frac{\left(-3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 b n +6 b \ln \left(c \right)+6 a \right) b \,x^{3} \ln \left(x^{n}\right)}{9}+\frac{\left(-9 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+18 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-36 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+12 i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-36 i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-36 i \pi  a b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+36 a^{2}-12 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-12 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+36 i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+36 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  a b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 b^{2} n^{2}-9 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+18 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-9 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+18 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}+72 a b \ln \left(c \right)-24 b^{2} n \ln \left(c \right)+36 b^{2} \ln \left(c \right)^{2}-24 a b n -9 \pi^{2} b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-36 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-36 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+12 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)\right) x^{3}}{108}"," ",0,"1/3*x^3*b^2*ln(x^n)^2+1/9*b*x^3*(-3*I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+3*I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+3*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*Pi*b*csgn(I*c*x^n)^3-2*b*n+6*b*ln(c)+6*a)*ln(x^n)+1/108*x^3*(-36*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^3-9*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-36*I*Pi*a*b*csgn(I*c*x^n)^3-36*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+18*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+12*I*Pi*b^2*n*csgn(I*c*x^n)^3+18*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+36*a^2+8*b^2*n^2+72*a*b*ln(c)-24*b^2*n*ln(c)+36*b^2*ln(c)^2-9*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+18*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-24*a*b*n-9*Pi^2*b^2*csgn(I*c*x^n)^6+18*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-9*Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4+36*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)+36*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c)-12*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)-36*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+12*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-36*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))","C"
52,1,692,46,0.208000," ","int(x*(a+b*ln(c*x^n))^2,x)","\frac{b^{2} x^{2} \ln \left(x^{n}\right)^{2}}{2}+\frac{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-b n +2 b \ln \left(c \right)+2 a \right) b \,x^{2} \ln \left(x^{n}\right)}{2}+\frac{\left(-\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-4 i \pi  a b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 a^{2}-2 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-2 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  a b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 b^{2} n^{2}-\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-\pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}+8 a b \ln \left(c \right)-4 b^{2} n \ln \left(c \right)+4 b^{2} \ln \left(c \right)^{2}-4 a b n -\pi^{2} b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-4 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-4 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+2 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)\right) x^{2}}{8}"," ",0,"1/2*b^2*x^2*ln(x^n)^2+1/2*b*x^2*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)-b*n+2*a)*ln(x^n)+1/8*x^2*(-Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-4*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+2*I*Pi*b^2*n*csgn(I*c*x^n)^3+2*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-4*I*Pi*a*b*csgn(I*c*x^n)^3-4*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^3+4*a^2+2*b^2*n^2+8*a*b*ln(c)-4*b^2*n*ln(c)+4*b^2*ln(c)^2-Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-4*a*b*n-Pi^2*b^2*csgn(I*c*x^n)^6+2*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4+4*I*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c)-2*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b^2*n*csgn(I*c)*csgn(I*c*x^n)^2+4*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+2*I*Pi*b^2*n*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-4*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))","C"
53,1,63,43,0.048000," ","int((a+b*ln(c*x^n))^2,x)","2 b^{2} n^{2} x -2 b^{2} n x \ln \left(c \,{\mathrm e}^{n \ln \left(x \right)}\right)+b^{2} x \ln \left(c \,{\mathrm e}^{n \ln \left(x \right)}\right)^{2}-2 a b n x +2 a b x \ln \left(c \,x^{n}\right)+a^{2} x"," ",0,"a^2*x+b^2*x*ln(c*exp(n*ln(x)))^2+2*b^2*n^2*x-2*b^2*n*x*ln(c*exp(n*ln(x)))+2*x*a*b*ln(c*x^n)-2*a*b*n*x","A"
54,1,56,20,0.026000," ","int((a+b*ln(c*x^n))^2/x,x)","\frac{b^{2} \ln \left(c \,x^{n}\right)^{3}}{3 n}+\frac{a b \ln \left(c \,x^{n}\right)^{2}}{n}+\frac{a^{2} \ln \left(c \,x^{n}\right)}{n}+\frac{a^{3}}{3 b n}"," ",0,"1/3/n*b^2*ln(c*x^n)^3+1/n*b*ln(c*x^n)^2*a+1/n*ln(c*x^n)*a^2+1/3/n/b*a^3","B"
55,1,704,46,0.168000," ","int((a+b*ln(c*x^n))^2/x^2,x)","-\frac{b^{2} \ln \left(x^{n}\right)^{2}}{x}-\frac{\left(-i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b^{2} n +2 b^{2} \ln \left(c \right)+2 a b \right) \ln \left(x^{n}\right)}{x}-\frac{-\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-4 i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-4 i \pi  a b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 a^{2}+4 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  a b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 b^{2} n^{2}-\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-\pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}+8 a b \ln \left(c \right)+8 b^{2} n \ln \left(c \right)+4 b^{2} \ln \left(c \right)^{2}+8 a b n -\pi^{2} b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-4 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-4 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{4 x}"," ",0,"-b^2/x*ln(x^n)^2-(I*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b^2*csgn(I*c*x^n)^3+I*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)+2*ln(c)*b^2+2*b^2*n+2*a*b)/x*ln(x^n)-1/4*(-4*I*Pi*b^2*n*csgn(I*c*x^n)^3-Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-4*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+2*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-4*I*Pi*a*b*csgn(I*c*x^n)^3-4*I*Pi*b^2*csgn(I*c*x^n)^3*ln(c)+4*a^2+8*b^2*n^2+8*a*b*ln(c)+8*b^2*n*ln(c)+4*b^2*ln(c)^2-Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5+8*a*b*n-Pi^2*b^2*csgn(I*c*x^n)^6+2*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4+4*I*Pi*a*b*csgn(I*c)*csgn(I*c*x^n)^2+4*I*Pi*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*b^2*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)-4*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*a*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n))/x","C"
56,1,703,46,0.161000," ","int((a+b*ln(c*x^n))^2/x^3,x)","-\frac{b^{2} \ln \left(x^{n}\right)^{2}}{2 x^{2}}-\frac{\left(-i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+b^{2} n +2 b^{2} \ln \left(c \right)+2 a b \right) \ln \left(x^{n}\right)}{2 x^{2}}-\frac{-\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-2 i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-4 i \pi  a b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 a^{2}+2 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  a b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 b^{2} n^{2}-\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-\pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}+8 a b \ln \left(c \right)+4 b^{2} n \ln \left(c \right)+4 b^{2} \ln \left(c \right)^{2}+4 a b n -\pi^{2} b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-4 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-4 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-2 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{8 x^{2}}"," ",0,"-1/2*b^2/x^2*ln(x^n)^2-1/2*(I*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b^2*csgn(I*c*x^n)^3+I*Pi*b^2*csgn(I*c)*csgn(I*c*x^n)^2+2*b^2*ln(c)+b^2*n+2*a*b)/x^2*ln(x^n)-1/8*(-Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-4*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+2*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-4*I*Pi*a*b*csgn(I*c*x^n)^3-4*I*Pi*b^2*csgn(I*c*x^n)^3*ln(c)+4*a^2+2*b^2*n^2+8*a*b*ln(c)+4*b^2*n*ln(c)-2*I*Pi*b^2*n*csgn(I*c*x^n)^3+4*b^2*ln(c)^2-Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5+4*a*b*n-Pi^2*b^2*csgn(I*c*x^n)^6+2*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4+4*I*Pi*a*b*csgn(I*c)*csgn(I*c*x^n)^2+2*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2+2*I*Pi*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*b^2*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)-4*I*Pi*a*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-2*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))/x^2","C"
57,1,2649,69,0.315000," ","int(x^3*(a+b*ln(c*x^n))^3,x)","\text{Expression too large to display}"," ",0,"1/4*b^3*x^4*ln(x^n)^3+3/16*x^4*b^2*(2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*b*Pi*csgn(I*c*x^n)^3+2*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+4*b*ln(c)-b*n+4*a)*ln(x^n)^2+3/32*b*x^4*(-2*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-8*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+4*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+4*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+8*a^2+b^2*n^2+16*a*b*ln(c)-4*b^2*n*ln(c)+8*b^2*ln(c)^2-2*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+4*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-4*a*b*n-2*Pi^2*b^2*csgn(I*c*x^n)^6+4*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-2*Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4+2*I*Pi*b^2*n*csgn(I*c*x^n)^3-8*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^3-8*I*Pi*a*b*csgn(I*c*x^n)^3+8*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2+8*I*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c)+8*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+8*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)+2*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-8*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-8*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-2*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b^2*n*csgn(I*c*x^n)^2*csgn(I*c))*ln(x^n)+1/128*x^4*(32*a^3+4*I*Pi^3*b^3*csgn(I*c*x^n)^9-24*Pi^2*a*b^2*csgn(I*c*x^n)^6-96*I*ln(c)*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+24*I*ln(c)*Pi*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+24*I*Pi*a*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-24*ln(c)*Pi^2*b^3*csgn(I*c*x^n)^6-48*ln(c)*a*b^2*n+32*ln(c)^3*b^3+96*ln(c)^2*a*b^2+96*ln(c)*a^2*b-24*ln(c)^2*b^3*n+12*ln(c)*b^3*n^2+12*a*b^2*n^2-24*a^2*b*n+6*Pi^2*b^3*n*csgn(I*c*x^n)^6-3*b^3*n^3+6*Pi^2*b^3*n*csgn(I*x^n)^2*csgn(I*c*x^n)^4-12*Pi^2*b^3*n*csgn(I*c*x^n)^5*csgn(I*c)+6*Pi^2*b^3*n*csgn(I*c*x^n)^4*csgn(I*c)^2-12*Pi^2*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^5-12*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^8-24*ln(c)*Pi^2*b^3*csgn(I*c*x^n)^4*csgn(I*c)^2-24*Pi^2*a*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+48*Pi^2*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5+48*Pi^2*a*b^2*csgn(I*c*x^n)^5*csgn(I*c)-24*Pi^2*a*b^2*csgn(I*c*x^n)^4*csgn(I*c)^2-24*ln(c)*Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4+48*ln(c)*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5+48*ln(c)*Pi^2*b^3*csgn(I*c*x^n)^5*csgn(I*c)-48*I*Pi*a^2*b*csgn(I*c*x^n)^3-4*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^6+12*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^7-6*I*Pi*b^3*n^2*csgn(I*c*x^n)^3-12*I*Pi^3*b^3*csgn(I*c*x^n)^8*csgn(I*c)+12*I*Pi^3*b^3*csgn(I*c*x^n)^7*csgn(I*c)^2-4*I*Pi^3*b^3*csgn(I*c*x^n)^6*csgn(I*c)^3-48*I*ln(c)^2*Pi*b^3*csgn(I*c*x^n)^3+48*Pi^2*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-12*Pi^2*b^3*n*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+6*Pi^2*b^3*n*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2+24*Pi^2*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)-12*Pi^2*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-36*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^6*csgn(I*c)+36*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^5*csgn(I*c)^2-24*ln(c)*Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-96*ln(c)*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+48*ln(c)*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+48*Pi^2*a*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-24*Pi^2*a*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-96*Pi^2*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+12*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^5*csgn(I*c)-12*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^4*csgn(I*c)^2+4*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^3*csgn(I*c)^3+48*ln(c)*Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+96*I*ln(c)*Pi*a*b^2*csgn(I*c*x^n)^2*csgn(I*c)-48*I*Pi*a^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-24*I*ln(c)*Pi*b^3*n*csgn(I*c*x^n)^2*csgn(I*c)-24*I*ln(c)*Pi*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^2-48*I*ln(c)^2*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+96*I*ln(c)*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2-96*I*ln(c)*Pi*a*b^2*csgn(I*c*x^n)^3+48*I*Pi*a^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+48*I*Pi*a^2*b*csgn(I*c*x^n)^2*csgn(I*c)-12*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*csgn(I*c)^3+24*I*ln(c)*Pi*b^3*n*csgn(I*c*x^n)^3+6*I*Pi*b^3*n^2*csgn(I*x^n)*csgn(I*c*x^n)^2+6*I*Pi*b^3*n^2*csgn(I*c*x^n)^2*csgn(I*c)+24*I*Pi*a*b^2*n*csgn(I*c*x^n)^3+36*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^7*csgn(I*c)-36*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^6*csgn(I*c)^2+12*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5*csgn(I*c)^3+48*I*ln(c)^2*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2+48*I*ln(c)^2*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c)-6*I*Pi*b^3*n^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-24*I*Pi*a*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-24*I*Pi*a*b^2*n*csgn(I*c*x^n)^2*csgn(I*c))","C"
58,1,2650,69,0.310000," ","int(x^2*(a+b*ln(c*x^n))^3,x)","\text{Expression too large to display}"," ",0,"1/3*b^3*x^3*ln(x^n)^3+1/6*b^2*x^3*(3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*b*Pi*csgn(I*c*x^n)^3+3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+6*b*ln(c)-2*b*n+6*a)*ln(x^n)^2+1/36*b*x^3*(-9*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-36*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+18*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+18*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+36*a^2+8*b^2*n^2+72*a*b*ln(c)-24*b^2*n*ln(c)+36*b^2*ln(c)^2-9*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+18*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-24*a*b*n-9*Pi^2*b^2*csgn(I*c*x^n)^6+18*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-9*Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4+12*I*Pi*b^2*n*csgn(I*c*x^n)^3-36*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^3-36*I*Pi*a*b*csgn(I*c*x^n)^3-12*I*Pi*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)+36*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)+36*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c)-12*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2+12*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-36*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-36*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))*ln(x^n)+1/216*x^3*(72*a^3+72*I*Pi*a*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-216*I*ln(c)*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+72*I*ln(c)*Pi*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-54*Pi^2*a*b^2*csgn(I*c*x^n)^6-54*Pi^2*b^3*csgn(I*c*x^n)^6*ln(c)+9*I*Pi^3*b^3*csgn(I*c*x^n)^9-144*a*b^2*n*ln(c)+72*b^3*ln(c)^3+216*a*b^2*ln(c)^2+216*a^2*b*ln(c)-72*b^3*n*ln(c)^2+48*b^3*n^2*ln(c)+48*a*b^2*n^2-72*a^2*b*n+18*Pi^2*b^3*n*csgn(I*c*x^n)^6-16*b^3*n^3-108*I*Pi*a^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-216*I*ln(c)*Pi*a*b^2*csgn(I*c*x^n)^3+108*I*Pi*a^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+108*I*Pi*a^2*b*csgn(I*c*x^n)^2*csgn(I*c)+18*Pi^2*b^3*n*csgn(I*x^n)^2*csgn(I*c*x^n)^4-36*Pi^2*b^3*n*csgn(I*c)*csgn(I*c*x^n)^5+18*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*c*x^n)^4-36*Pi^2*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^5-81*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^6*csgn(I*c)^2+27*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5*csgn(I*c)^3+108*I*ln(c)^2*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2+108*I*ln(c)^2*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c)-54*Pi^2*b^3*csgn(I*c)^2*csgn(I*c*x^n)^4*ln(c)+27*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^7-54*Pi^2*a*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+108*Pi^2*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-24*I*Pi*b^3*n^2*csgn(I*c*x^n)^3+108*Pi^2*a*b^2*csgn(I*c)*csgn(I*c*x^n)^5-54*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4-9*I*Pi^3*b^3*csgn(I*c*x^n)^6*csgn(I*c)^3-108*I*ln(c)^2*Pi*b^3*csgn(I*c*x^n)^3-54*Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*ln(c)-108*I*Pi*a^2*b*csgn(I*c*x^n)^3+108*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5*ln(c)+108*Pi^2*b^3*csgn(I*c)*csgn(I*c*x^n)^5*ln(c)-9*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^6-27*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^8-27*I*Pi^3*b^3*csgn(I*c*x^n)^8*csgn(I*c)+27*I*Pi^3*b^3*csgn(I*c*x^n)^7*csgn(I*c)^2-72*I*ln(c)*Pi*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^2-108*I*ln(c)^2*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+216*I*ln(c)*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+216*I*ln(c)*Pi*a*b^2*csgn(I*c*x^n)^2*csgn(I*c)+108*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-36*Pi^2*b^3*n*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+18*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2+72*Pi^2*b^3*n*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4-36*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-54*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*ln(c)-216*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4*ln(c)+108*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3*ln(c)+108*Pi^2*a*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-54*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-216*Pi^2*a*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+108*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3*ln(c)-24*I*Pi*b^3*n^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-72*I*Pi*a*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-72*I*Pi*a*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)-72*I*ln(c)*Pi*b^3*n*csgn(I*c*x^n)^2*csgn(I*c)-27*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^4*csgn(I*c)^2+9*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^3*csgn(I*c)^3+24*I*Pi*b^3*n^2*csgn(I*x^n)*csgn(I*c*x^n)^2+24*I*Pi*b^3*n^2*csgn(I*c*x^n)^2*csgn(I*c)+72*I*Pi*a*b^2*n*csgn(I*c*x^n)^3+81*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^7*csgn(I*c)+27*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^5*csgn(I*c)-81*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^6*csgn(I*c)+81*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^5*csgn(I*c)^2-27*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*csgn(I*c)^3+72*I*ln(c)*Pi*b^3*n*csgn(I*c*x^n)^3)","C"
59,1,2650,69,0.318000," ","int(x*(a+b*ln(c*x^n))^3,x)","\text{Expression too large to display}"," ",0,"1/2*x^2*b^3*ln(x^n)^3+3/4*x^2*b^2*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)-b*n+2*a)*ln(x^n)^2+3/8*b*x^2*(-Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-4*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+2*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-4*I*Pi*a*b*csgn(I*c*x^n)^3-4*I*Pi*b^2*csgn(I*c*x^n)^3*ln(c)+4*a^2+2*b^2*n^2+8*a*b*ln(c)-4*b^2*n*ln(c)+4*b^2*ln(c)^2-Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-4*a*b*n-Pi^2*b^2*csgn(I*c*x^n)^6+2*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4+4*I*Pi*a*b*csgn(I*c)*csgn(I*c*x^n)^2+4*I*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*b^2*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)+2*I*Pi*b^2*n*csgn(I*c*x^n)^3-4*I*Pi*a*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+2*I*Pi*b^2*n*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-2*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-2*I*Pi*b^2*n*csgn(I*c)*csgn(I*c*x^n)^2)*ln(x^n)+1/16*x^2*(8*a^3+12*I*Pi*a*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-24*I*ln(c)*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-6*Pi^2*a*b^2*csgn(I*c*x^n)^6-6*Pi^2*b^3*csgn(I*c*x^n)^6*ln(c)-24*a*b^2*n*ln(c)+8*b^3*ln(c)^3+24*a*b^2*ln(c)^2+24*a^2*b*ln(c)-12*b^3*n*ln(c)^2+12*b^3*n^2*ln(c)+I*Pi^3*b^3*csgn(I*c*x^n)^9+12*a*b^2*n^2-12*a^2*b*n+3*Pi^2*b^3*n*csgn(I*c*x^n)^6-6*b^3*n^3+12*I*ln(c)*Pi*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+24*I*ln(c)*Pi*a*b^2*csgn(I*c*x^n)^2*csgn(I*c)-12*I*Pi*a^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-24*I*ln(c)*Pi*a*b^2*csgn(I*c*x^n)^3+12*I*Pi*a^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+3*Pi^2*b^3*n*csgn(I*x^n)^2*csgn(I*c*x^n)^4-6*Pi^2*b^3*n*csgn(I*c)*csgn(I*c*x^n)^5+3*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*c*x^n)^4-6*Pi^2*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^5+9*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^7*csgn(I*c)-9*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^6*csgn(I*c)^2+3*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5*csgn(I*c)^3+12*I*ln(c)^2*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2+12*I*ln(c)^2*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c)-6*Pi^2*b^3*csgn(I*c)^2*csgn(I*c*x^n)^4*ln(c)-6*Pi^2*a*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+12*Pi^2*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5+12*Pi^2*a*b^2*csgn(I*c)*csgn(I*c*x^n)^5-6*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4-6*Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*ln(c)+12*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5*ln(c)+12*Pi^2*b^3*csgn(I*c)*csgn(I*c*x^n)^5*ln(c)-12*I*Pi*a^2*b*csgn(I*c*x^n)^3-I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^6+3*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^7-3*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^8-3*I*Pi^3*b^3*csgn(I*c*x^n)^8*csgn(I*c)+3*I*Pi^3*b^3*csgn(I*c*x^n)^7*csgn(I*c)^2-I*Pi^3*b^3*csgn(I*c*x^n)^6*csgn(I*c)^3-12*I*ln(c)^2*Pi*b^3*csgn(I*c*x^n)^3-6*I*Pi*b^3*n^2*csgn(I*c*x^n)^3-12*I*ln(c)*Pi*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*ln(c)^2*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+24*I*ln(c)*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+12*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-6*Pi^2*b^3*n*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+3*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2+12*Pi^2*b^3*n*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4-6*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-6*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*ln(c)-24*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4*ln(c)+12*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3*ln(c)+12*Pi^2*a*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-6*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-24*Pi^2*a*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+12*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3*ln(c)-12*I*ln(c)*Pi*b^3*n*csgn(I*c*x^n)^2*csgn(I*c)-12*I*Pi*a*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*a*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)+12*I*Pi*a^2*b*csgn(I*c*x^n)^2*csgn(I*c)+I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^3*csgn(I*c)^3+3*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^5*csgn(I*c)-3*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^4*csgn(I*c)^2-9*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^6*csgn(I*c)+9*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^5*csgn(I*c)^2-3*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*csgn(I*c)^3+12*I*ln(c)*Pi*b^3*n*csgn(I*c*x^n)^3+12*I*Pi*a*b^2*n*csgn(I*c*x^n)^3+6*I*Pi*b^3*n^2*csgn(I*x^n)*csgn(I*c*x^n)^2+6*I*Pi*b^3*n^2*csgn(I*c)*csgn(I*c*x^n)^2-6*I*Pi*b^3*n^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n))","C"
60,1,2641,66,0.286000," ","int((a+b*ln(c*x^n))^3,x)","\text{Expression too large to display}"," ",0,"x*b^3*ln(x^n)^3+3/2*b^2*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)-2*b*n+2*a)*x*ln(x^n)^2+3/4*b*(-Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-4*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+2*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-4*I*Pi*a*b*csgn(I*c*x^n)^3-4*I*Pi*b^2*csgn(I*c*x^n)^3*ln(c)+4*a^2+8*b^2*n^2+8*a*b*ln(c)-8*b^2*n*ln(c)+4*b^2*ln(c)^2-Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-8*a*b*n-Pi^2*b^2*csgn(I*c*x^n)^6+2*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4+4*I*Pi*a*b*csgn(I*c)*csgn(I*c*x^n)^2+4*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4*I*Pi*b^2*n*csgn(I*c*x^n)^3+4*I*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*b^2*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)-4*I*Pi*a*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-4*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b^2*n*csgn(I*c*x^n)^2*csgn(I*c))*x*ln(x^n)+1/8*(8*a^3-24*I*Pi*a*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)-6*Pi^2*a*b^2*csgn(I*c*x^n)^6+24*I*Pi*b^3*n*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)+24*I*Pi*a*b^2*n*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-6*Pi^2*b^3*csgn(I*c*x^n)^6*ln(c)-48*a*b^2*n*ln(c)+8*b^3*ln(c)^3+24*a*b^2*ln(c)^2+24*a^2*b*ln(c)-24*b^3*n*ln(c)^2+48*b^3*n^2*ln(c)+I*Pi^3*b^3*csgn(I*c*x^n)^9+48*a*b^2*n^2-24*a^2*b*n+6*Pi^2*b^3*n*csgn(I*c*x^n)^6-48*b^3*n^3+24*I*Pi*a*b^2*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)-12*I*Pi*a^2*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-24*I*Pi*a*b^2*csgn(I*c*x^n)^3*ln(c)+12*I*Pi*a^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+6*Pi^2*b^3*n*csgn(I*x^n)^2*csgn(I*c*x^n)^4-12*Pi^2*b^3*n*csgn(I*c)*csgn(I*c*x^n)^5+6*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*c*x^n)^4-12*Pi^2*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^5+9*I*Pi^3*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^7-9*I*Pi^3*b^3*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^6+3*I*Pi^3*b^3*csgn(I*c)^3*csgn(I*x^n)*csgn(I*c*x^n)^5+12*I*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)^2+12*I*Pi*b^3*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)^2-6*Pi^2*b^3*csgn(I*c)^2*csgn(I*c*x^n)^4*ln(c)-6*Pi^2*a*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+12*Pi^2*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-24*I*Pi*b^3*n^2*csgn(I*c*x^n)^3+12*Pi^2*a*b^2*csgn(I*c)*csgn(I*c*x^n)^5-6*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4-6*Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*ln(c)+12*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5*ln(c)+12*Pi^2*b^3*csgn(I*c)*csgn(I*c*x^n)^5*ln(c)-12*I*Pi*a^2*b*csgn(I*c*x^n)^3-I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^6+3*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^7-3*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^8-3*I*Pi^3*b^3*csgn(I*c)*csgn(I*c*x^n)^8+3*I*Pi^3*b^3*csgn(I*c)^2*csgn(I*c*x^n)^7-I*Pi^3*b^3*csgn(I*c)^3*csgn(I*c*x^n)^6-12*I*Pi*b^3*csgn(I*c*x^n)^3*ln(c)^2-12*I*Pi*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)^2+24*I*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)+12*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-12*Pi^2*b^3*n*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+6*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2+24*Pi^2*b^3*n*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4-12*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-6*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*ln(c)-24*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4*ln(c)+12*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3*ln(c)+12*Pi^2*a*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-6*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-24*Pi^2*a*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+12*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3*ln(c)-24*I*Pi*b^3*n^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-24*I*Pi*b^3*n*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)-24*I*Pi*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)+12*I*Pi*a^2*b*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi^3*b^3*csgn(I*c)^3*csgn(I*x^n)^3*csgn(I*c*x^n)^3+3*I*Pi^3*b^3*csgn(I*c)*csgn(I*x^n)^3*csgn(I*c*x^n)^5-3*I*Pi^3*b^3*csgn(I*c)^2*csgn(I*x^n)^3*csgn(I*c*x^n)^4-9*I*Pi^3*b^3*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^6+9*I*Pi^3*b^3*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^5-3*I*Pi^3*b^3*csgn(I*c)^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4+24*I*Pi*b^3*n^2*csgn(I*x^n)*csgn(I*c*x^n)^2+24*I*Pi*b^3*n^2*csgn(I*c)*csgn(I*c*x^n)^2+24*I*Pi*b^3*n*csgn(I*c*x^n)^3*ln(c)+24*I*Pi*a*b^2*n*csgn(I*c*x^n)^3-24*I*Pi*a*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-24*I*Pi*a*b^2*n*csgn(I*c)*csgn(I*c*x^n)^2)*x","C"
61,1,75,20,0.025000," ","int((a+b*ln(c*x^n))^3/x,x)","\frac{b^{3} \ln \left(c \,x^{n}\right)^{4}}{4 n}+\frac{a \,b^{2} \ln \left(c \,x^{n}\right)^{3}}{n}+\frac{3 a^{2} b \ln \left(c \,x^{n}\right)^{2}}{2 n}+\frac{a^{3} \ln \left(c \,x^{n}\right)}{n}+\frac{a^{4}}{4 b n}"," ",0,"1/4/n*b^3*ln(c*x^n)^4+1/n*b^2*ln(c*x^n)^3*a+3/2/n*b*ln(c*x^n)^2*a^2+1/n*ln(c*x^n)*a^3+1/4/n/b*a^4","B"
62,1,2674,69,0.285000," ","int((a+b*ln(c*x^n))^3/x^2,x)","\text{Expression too large to display}"," ",0,"-b^3/x*ln(x^n)^3-3/2*(I*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b^3*csgn(I*c*x^n)^3+I*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c)+2*ln(c)*b^3+2*b^3*n+2*a*b^2)/x*ln(x^n)^2-3/4*(-4*I*Pi*a*b^2*csgn(I*c*x^n)^3+2*Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2+4*b*a^2+4*ln(c)^2*b^3-Pi^2*b^3*csgn(I*c*x^n)^4*csgn(I*c)^2-Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5+2*Pi^2*b^3*csgn(I*c*x^n)^5*csgn(I*c)+8*a*b^2*n+8*ln(c)*a*b^2+8*n*ln(c)*b^3-Pi^2*b^3*csgn(I*c*x^n)^6+8*b^3*n^2-4*I*n*Pi*b^3*csgn(I*c*x^n)^3-4*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+2*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-4*I*ln(c)*Pi*b^3*csgn(I*c*x^n)^3+4*I*ln(c)*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*ln(c)*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*Pi*a*b^2*csgn(I*c*x^n)^2*csgn(I*c)-4*I*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*n*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*ln(c)*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4*I*n*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c)+4*I*n*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2)/x*ln(x^n)-1/8*(8*a^3-24*I*Pi*a*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)-6*Pi^2*a*b^2*csgn(I*c*x^n)^6-6*Pi^2*b^3*csgn(I*c*x^n)^6*ln(c)+48*a*b^2*n*ln(c)+8*b^3*ln(c)^3+24*a*b^2*ln(c)^2+24*a^2*b*ln(c)+24*b^3*n*ln(c)^2+48*b^3*n^2*ln(c)+I*Pi^3*b^3*csgn(I*c*x^n)^9+48*a*b^2*n^2+24*a^2*b*n-6*Pi^2*b^3*n*csgn(I*c*x^n)^6+48*b^3*n^3-24*I*Pi*a*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-24*I*n*ln(c)*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+24*I*Pi*a*b^2*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)-12*I*Pi*a^2*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+24*I*ln(c)*Pi*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^2+24*I*n*ln(c)*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c)-24*I*Pi*a*b^2*csgn(I*c*x^n)^3*ln(c)+12*I*Pi*a^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2-6*Pi^2*b^3*n*csgn(I*x^n)^2*csgn(I*c*x^n)^4+12*Pi^2*b^3*n*csgn(I*c)*csgn(I*c*x^n)^5-6*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*c*x^n)^4+12*Pi^2*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^5+9*I*Pi^3*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^7-9*I*Pi^3*b^3*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^6+3*I*Pi^3*b^3*csgn(I*c)^3*csgn(I*x^n)*csgn(I*c*x^n)^5+12*I*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)^2+12*I*Pi*b^3*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)^2-6*Pi^2*b^3*csgn(I*c)^2*csgn(I*c*x^n)^4*ln(c)-6*Pi^2*a*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+12*Pi^2*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-24*I*Pi*b^3*n^2*csgn(I*c*x^n)^3+12*Pi^2*a*b^2*csgn(I*c)*csgn(I*c*x^n)^5-6*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4-6*Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*ln(c)+12*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5*ln(c)+12*Pi^2*b^3*csgn(I*c)*csgn(I*c*x^n)^5*ln(c)-12*I*Pi*a^2*b*csgn(I*c*x^n)^3-I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^6+3*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^7-3*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^8-3*I*Pi^3*b^3*csgn(I*c)*csgn(I*c*x^n)^8+3*I*Pi^3*b^3*csgn(I*c)^2*csgn(I*c*x^n)^7-I*Pi^3*b^3*csgn(I*c)^3*csgn(I*c*x^n)^6-12*I*Pi*b^3*csgn(I*c*x^n)^3*ln(c)^2-24*I*ln(c)*Pi*b^3*n*csgn(I*c*x^n)^3-24*I*Pi*a*b^2*n*csgn(I*c*x^n)^3+24*I*Pi*a*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2+24*I*Pi*a*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)-12*I*Pi*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)^2+24*I*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)+12*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+12*Pi^2*b^3*n*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-6*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-24*Pi^2*b^3*n*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+12*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-6*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*ln(c)-24*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4*ln(c)+12*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3*ln(c)+12*Pi^2*a*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-6*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-24*Pi^2*a*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+12*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3*ln(c)-24*I*Pi*b^3*n^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+12*I*Pi*a^2*b*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi^3*b^3*csgn(I*c)^3*csgn(I*x^n)^3*csgn(I*c*x^n)^3+3*I*Pi^3*b^3*csgn(I*c)*csgn(I*x^n)^3*csgn(I*c*x^n)^5-3*I*Pi^3*b^3*csgn(I*c)^2*csgn(I*x^n)^3*csgn(I*c*x^n)^4-9*I*Pi^3*b^3*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^6+9*I*Pi^3*b^3*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^5-3*I*Pi^3*b^3*csgn(I*c)^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4+24*I*Pi*b^3*n^2*csgn(I*x^n)*csgn(I*c*x^n)^2+24*I*Pi*b^3*n^2*csgn(I*c)*csgn(I*c*x^n)^2)/x","C"
63,1,2673,69,0.286000," ","int((a+b*ln(c*x^n))^3/x^3,x)","\text{Expression too large to display}"," ",0,"-1/2*b^3/x^2*ln(x^n)^3-3/4*(I*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b^3*csgn(I*c*x^n)^3+I*Pi*b^3*csgn(I*c)*csgn(I*c*x^n)^2+2*b^3*ln(c)+b^3*n+2*a*b^2)/x^2*ln(x^n)^2-3/8*(-4*I*Pi*a*b^2*csgn(I*c*x^n)^3+2*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2+4*a^2*b+4*b^3*ln(c)^2-Pi^2*b^3*csgn(I*c)^2*csgn(I*c*x^n)^4-Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5+2*Pi^2*b^3*csgn(I*c)*csgn(I*c*x^n)^5+4*a*b^2*n+8*a*b^2*ln(c)+4*b^3*n*ln(c)-Pi^2*b^3*csgn(I*c*x^n)^6+2*b^3*n^2-2*I*n*Pi*b^3*csgn(I*c*x^n)^3-4*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+2*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-4*I*Pi*b^3*csgn(I*c*x^n)^3*ln(c)+4*I*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*b^3*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*Pi*a*b^2*csgn(I*c)*csgn(I*c*x^n)^2-2*I*n*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*Pi*a*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-4*I*Pi*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)+2*I*n*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c)+2*I*n*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2)/x^2*ln(x^n)-1/16*(8*a^3-24*I*Pi*a*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)-6*Pi^2*a*b^2*csgn(I*c*x^n)^6-6*Pi^2*b^3*csgn(I*c*x^n)^6*ln(c)+24*a*b^2*n*ln(c)+8*b^3*ln(c)^3+24*a*b^2*ln(c)^2+24*a^2*b*ln(c)+12*b^3*n*ln(c)^2+12*b^3*n^2*ln(c)+I*Pi^3*b^3*csgn(I*c*x^n)^9+12*a*b^2*n^2+12*a^2*b*n-3*Pi^2*b^3*n*csgn(I*c*x^n)^6+6*b^3*n^3-12*I*Pi*a*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-12*I*n*ln(c)*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+24*I*Pi*a*b^2*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)-12*I*Pi*a^2*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-24*I*Pi*a*b^2*csgn(I*c*x^n)^3*ln(c)+12*I*Pi*a^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2-3*Pi^2*b^3*n*csgn(I*x^n)^2*csgn(I*c*x^n)^4+6*Pi^2*b^3*n*csgn(I*c)*csgn(I*c*x^n)^5-3*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*c*x^n)^4+6*Pi^2*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^5+9*I*Pi^3*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^7-9*I*Pi^3*b^3*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^6+3*I*Pi^3*b^3*csgn(I*c)^3*csgn(I*x^n)*csgn(I*c*x^n)^5+12*I*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)^2+12*I*Pi*b^3*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)^2-6*Pi^2*b^3*csgn(I*c)^2*csgn(I*c*x^n)^4*ln(c)-6*Pi^2*a*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+12*Pi^2*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5+12*Pi^2*a*b^2*csgn(I*c)*csgn(I*c*x^n)^5-6*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4-6*Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*ln(c)+12*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5*ln(c)+12*Pi^2*b^3*csgn(I*c)*csgn(I*c*x^n)^5*ln(c)-12*I*Pi*a^2*b*csgn(I*c*x^n)^3-I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^6+3*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^7-3*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^8-3*I*Pi^3*b^3*csgn(I*c)*csgn(I*c*x^n)^8+3*I*Pi^3*b^3*csgn(I*c)^2*csgn(I*c*x^n)^7-I*Pi^3*b^3*csgn(I*c)^3*csgn(I*c*x^n)^6-12*I*Pi*b^3*csgn(I*c*x^n)^3*ln(c)^2-6*I*Pi*b^3*n^2*csgn(I*c*x^n)^3-12*I*ln(c)*Pi*b^3*n*csgn(I*c*x^n)^3+12*I*Pi*a*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2+12*I*Pi*a*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)+12*I*ln(c)*Pi*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*Pi*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)^2+24*I*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)+12*I*n*ln(c)*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c)+12*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+6*Pi^2*b^3*n*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-3*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-12*Pi^2*b^3*n*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+6*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-6*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*ln(c)-24*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4*ln(c)+12*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3*ln(c)+12*Pi^2*a*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-6*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-24*Pi^2*a*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+12*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3*ln(c)+12*I*Pi*a^2*b*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi^3*b^3*csgn(I*c)^3*csgn(I*x^n)^3*csgn(I*c*x^n)^3+3*I*Pi^3*b^3*csgn(I*c)*csgn(I*x^n)^3*csgn(I*c*x^n)^5-3*I*Pi^3*b^3*csgn(I*c)^2*csgn(I*x^n)^3*csgn(I*c*x^n)^4-9*I*Pi^3*b^3*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^6+9*I*Pi^3*b^3*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^5-3*I*Pi^3*b^3*csgn(I*c)^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4+6*I*Pi*b^3*n^2*csgn(I*x^n)*csgn(I*c*x^n)^2+6*I*Pi*b^3*n^2*csgn(I*c)*csgn(I*c*x^n)^2-6*I*Pi*b^3*n^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-12*I*Pi*a*b^2*n*csgn(I*c*x^n)^3)/x^2","C"
64,1,2674,69,0.289000," ","int((a+b*ln(c*x^n))^3/x^4,x)","\text{Expression too large to display}"," ",0,"-1/3*b^3/x^3*ln(x^n)^3-1/6*(3*I*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*Pi*b^3*csgn(I*c*x^n)^3+3*I*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c)+6*b^3*ln(c)+2*b^3*n+6*a*b^2)/x^3*ln(x^n)^2-1/36*(18*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-9*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2+36*a^2*b+36*b^3*ln(c)^2-9*Pi^2*b^3*csgn(I*c)^2*csgn(I*c*x^n)^4-9*Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4+18*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5+18*Pi^2*b^3*csgn(I*c)*csgn(I*c*x^n)^5+24*a*b^2*n+72*a*b^2*ln(c)+24*b^3*n*ln(c)-9*Pi^2*b^3*csgn(I*c*x^n)^6+8*b^3*n^2+36*I*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*Pi*a*b^2*csgn(I*c*x^n)^2*csgn(I*c)+12*I*n*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c)+12*I*n*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2-12*I*n*Pi*b^3*csgn(I*c*x^n)^3-36*I*ln(c)*Pi*b^3*csgn(I*c*x^n)^3-36*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+18*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-36*I*Pi*a*b^2*csgn(I*c*x^n)^3-36*I*ln(c)*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-36*I*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-12*I*n*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+36*I*ln(c)*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*ln(c)*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c))/x^3*ln(x^n)-1/216*(72*a^3-72*I*n*ln(c)*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-72*I*Pi*a*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-216*I*ln(c)*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+9*I*Pi^3*b^3*csgn(I*c*x^n)^9-54*Pi^2*a*b^2*csgn(I*c*x^n)^6-54*Pi^2*b^3*csgn(I*c*x^n)^6*ln(c)+144*a*b^2*n*ln(c)+72*b^3*ln(c)^3+216*a*b^2*ln(c)^2+216*a^2*b*ln(c)+72*b^3*n*ln(c)^2+48*b^3*n^2*ln(c)+48*a*b^2*n^2+72*a^2*b*n-18*Pi^2*b^3*n*csgn(I*c*x^n)^6+16*b^3*n^3-9*I*Pi^3*b^3*csgn(I*c*x^n)^6*csgn(I*c)^3-108*I*ln(c)^2*Pi*b^3*csgn(I*c*x^n)^3-108*I*Pi*a^2*b*csgn(I*c*x^n)^3-9*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^6+27*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^7+216*I*ln(c)*Pi*a*b^2*csgn(I*c*x^n)^2*csgn(I*c)-108*I*Pi*a^2*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+72*I*Pi*a*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2+72*I*Pi*a*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)+72*I*ln(c)*Pi*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^2+72*I*n*ln(c)*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c)-18*Pi^2*b^3*n*csgn(I*x^n)^2*csgn(I*c*x^n)^4+36*Pi^2*b^3*n*csgn(I*c)*csgn(I*c*x^n)^5-18*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*c*x^n)^4+36*Pi^2*b^3*n*csgn(I*x^n)*csgn(I*c*x^n)^5-54*Pi^2*b^3*csgn(I*c)^2*csgn(I*c*x^n)^4*ln(c)-54*Pi^2*a*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+108*Pi^2*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-24*I*Pi*b^3*n^2*csgn(I*c*x^n)^3+108*Pi^2*a*b^2*csgn(I*c)*csgn(I*c*x^n)^5-54*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4-54*Pi^2*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*ln(c)+108*Pi^2*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5*ln(c)+108*Pi^2*b^3*csgn(I*c)*csgn(I*c*x^n)^5*ln(c)-108*I*ln(c)^2*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+216*I*ln(c)*Pi*a*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2-27*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^8-27*I*Pi^3*b^3*csgn(I*c*x^n)^8*csgn(I*c)+27*I*Pi^3*b^3*csgn(I*c*x^n)^7*csgn(I*c)^2-72*I*ln(c)*Pi*b^3*n*csgn(I*c*x^n)^3-72*I*Pi*a*b^2*n*csgn(I*c*x^n)^3-81*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^6*csgn(I*c)^2+27*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^5*csgn(I*c)^3+108*I*ln(c)^2*Pi*b^3*csgn(I*x^n)*csgn(I*c*x^n)^2+108*I*ln(c)^2*Pi*b^3*csgn(I*c*x^n)^2*csgn(I*c)+108*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+36*Pi^2*b^3*n*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-18*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-72*Pi^2*b^3*n*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+36*Pi^2*b^3*n*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-54*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*ln(c)-216*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4*ln(c)+108*Pi^2*b^3*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3*ln(c)+108*Pi^2*a*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-54*Pi^2*a*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-216*Pi^2*a*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+108*Pi^2*b^3*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3*ln(c)-24*I*Pi*b^3*n^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+24*I*Pi*b^3*n^2*csgn(I*x^n)*csgn(I*c*x^n)^2+24*I*Pi*b^3*n^2*csgn(I*c)*csgn(I*c*x^n)^2-81*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^6*csgn(I*c)+81*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^5*csgn(I*c)^2-27*I*Pi^3*b^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*csgn(I*c)^3+81*I*Pi^3*b^3*csgn(I*x^n)*csgn(I*c*x^n)^7*csgn(I*c)+27*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^5*csgn(I*c)-27*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^4*csgn(I*c)^2+9*I*Pi^3*b^3*csgn(I*x^n)^3*csgn(I*c*x^n)^3*csgn(I*c)^3-216*I*ln(c)*Pi*a*b^2*csgn(I*c*x^n)^3+108*I*Pi*a^2*b*csgn(I*x^n)*csgn(I*c*x^n)^2+108*I*Pi*a^2*b*csgn(I*c*x^n)^2*csgn(I*c))/x^3","C"
65,0,0,54,0.297000," ","int(x^3/(a+b*ln(c*x^n)),x)","\int \frac{x^{3}}{b \ln \left(c \,x^{n}\right)+a}\, dx"," ",0,"int(x^3/(a+b*ln(c*x^n)),x)","F"
66,0,0,54,0.276000," ","int(x^2/(b*ln(c*x^n)+a),x)","\int \frac{x^{2}}{b \ln \left(c \,x^{n}\right)+a}\, dx"," ",0,"int(x^2/(b*ln(c*x^n)+a),x)","F"
67,0,0,54,0.280000," ","int(x/(b*ln(c*x^n)+a),x)","\int \frac{x}{b \ln \left(c \,x^{n}\right)+a}\, dx"," ",0,"int(x/(b*ln(c*x^n)+a),x)","F"
68,1,240,48,0.499000," ","int(1/(b*ln(c*x^n)+a),x)","-\frac{x \,c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} \Ei \left(1, -\ln \left(x \right)-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b \ln \left(c \right)+2 a +2 \left(-n \ln \left(x \right)+\ln \left(x^{n}\right)\right) b}{2 b n}\right) {\mathrm e}^{-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 a}{2 b n}}}{b n}"," ",0,"-1/b/n*x*c^(-1/n)*(x^n)^(-1/n)*exp(-1/2*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*a)/b/n)*Ei(1,-ln(x)-1/2*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)+2*b*(ln(x^n)-n*ln(x))+2*a)/b/n)","C"
69,1,19,18,0.026000," ","int(1/x/(b*ln(c*x^n)+a),x)","\frac{\ln \left(b \ln \left(c \,x^{n}\right)+a \right)}{b n}"," ",0,"ln(b*ln(c*x^n)+a)/b/n","A"
70,0,0,49,0.284000," ","int(1/x^2/(b*ln(c*x^n)+a),x)","\int \frac{1}{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{2}}\, dx"," ",0,"int(1/x^2/(b*ln(c*x^n)+a),x)","F"
71,0,0,50,0.294000," ","int(1/x^3/(b*ln(c*x^n)+a),x)","\int \frac{1}{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{3}}\, dx"," ",0,"int(1/x^3/(b*ln(c*x^n)+a),x)","F"
72,0,0,50,0.312000," ","int(1/x^4/(b*ln(c*x^n)+a),x)","\int \frac{1}{\left(b \ln \left(c \,x^{n}\right)+a \right) x^{4}}\, dx"," ",0,"int(1/x^4/(b*ln(c*x^n)+a),x)","F"
73,0,0,79,1.000000," ","int(x^3/(b*ln(c*x^n)+a)^2,x)","\int \frac{x^{3}}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(x^3/(b*ln(c*x^n)+a)^2,x)","F"
74,0,0,79,0.935000," ","int(x^2/(b*ln(c*x^n)+a)^2,x)","\int \frac{x^{2}}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(x^2/(b*ln(c*x^n)+a)^2,x)","F"
75,0,0,79,0.894000," ","int(x/(b*ln(c*x^n)+a)^2,x)","\int \frac{x}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(x/(b*ln(c*x^n)+a)^2,x)","F"
76,1,350,70,0.493000," ","int(1/(b*ln(c*x^n)+a)^2,x)","-\frac{x \,c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} \Ei \left(1, -\ln \left(x \right)-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b \ln \left(c \right)+2 a +2 \left(-n \ln \left(x \right)+\ln \left(x^{n}\right)\right) b}{2 b n}\right) {\mathrm e}^{-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 a}{2 b n}}}{b^{2} n^{2}}-\frac{2 x}{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b \ln \left(c \right)+2 b \ln \left(x^{n}\right)+2 a \right) b n}"," ",0,"-2/b/n*x/(2*a+2*b*ln(c)+2*b*ln(x^n)+I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2)-1/b^2/n^2*x*(x^n)^(-1/n)*c^(-1/n)*exp(-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c*x^n)^3+2*a)/b/n)*Ei(1,-ln(x)-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c*x^n)^3+2*b*ln(c)+2*a+2*(-n*ln(x)+ln(x^n))*b)/b/n)","C"
77,1,21,20,0.025000," ","int(1/x/(b*ln(c*x^n)+a)^2,x)","-\frac{1}{\left(b \ln \left(c \,x^{n}\right)+a \right) b n}"," ",0,"-1/b/n/(b*ln(c*x^n)+a)","A"
78,0,0,74,0.917000," ","int(1/x^2/(b*ln(c*x^n)+a)^2,x)","\int \frac{1}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{2}}\, dx"," ",0,"int(1/x^2/(b*ln(c*x^n)+a)^2,x)","F"
79,0,0,75,0.978000," ","int(1/x^3/(b*ln(c*x^n)+a)^2,x)","\int \frac{1}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{3}}\, dx"," ",0,"int(1/x^3/(b*ln(c*x^n)+a)^2,x)","F"
80,0,0,75,1.025000," ","int(1/x^4/(b*ln(c*x^n)+a)^2,x)","\int \frac{1}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2} x^{4}}\, dx"," ",0,"int(1/x^4/(b*ln(c*x^n)+a)^2,x)","F"
81,0,0,102,0.982000," ","int(x^3/(b*ln(c*x^n)+a)^3,x)","\int \frac{x^{3}}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3}}\, dx"," ",0,"int(x^3/(b*ln(c*x^n)+a)^3,x)","F"
82,0,0,102,0.927000," ","int(x^2/(b*ln(c*x^n)+a)^3,x)","\int \frac{x^{2}}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3}}\, dx"," ",0,"int(x^2/(b*ln(c*x^n)+a)^3,x)","F"
83,0,0,102,0.897000," ","int(x/(b*ln(c*x^n)+a)^3,x)","\int \frac{x}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3}}\, dx"," ",0,"int(x/(b*ln(c*x^n)+a)^3,x)","F"
84,1,459,92,0.497000," ","int(1/(b*ln(c*x^n)+a)^3,x)","-\frac{x \,c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} \Ei \left(1, -\ln \left(x \right)-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b \ln \left(c \right)+2 a +2 \left(-n \ln \left(x \right)+\ln \left(x^{n}\right)\right) b}{2 b n}\right) {\mathrm e}^{-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 a}{2 b n}}}{2 b^{3} n^{3}}-\frac{-i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b x \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b x \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b n x +2 b x \ln \left(c \right)+2 b x \ln \left(x^{n}\right)+2 a x}{\left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 b \ln \left(c \right)+2 b \ln \left(x^{n}\right)+2 a \right)^{2} b^{2} n^{2}}"," ",0,"-(2*b*n*x+I*Pi*b*x*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*x*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*b*x*csgn(I*c*x^n)^3+I*Pi*b*x*csgn(I*c*x^n)^2*csgn(I*c)+2*ln(c)*b*x+2*b*x*ln(x^n)+2*a*x)/(-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c*x^n)^3+2*b*ln(c)+2*b*ln(x^n)+2*a)^2/b^2/n^2-1/2/b^3/n^3*x*c^(-1/n)*(x^n)^(-1/n)*exp(-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c*x^n)^3+2*a)/b/n)*Ei(1,-ln(x)-1/2*(-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c*x^n)^3+2*b*ln(c)+2*a+2*(-n*ln(x)+ln(x^n))*b)/b/n)","C"
85,1,21,20,0.025000," ","int(1/x/(b*ln(c*x^n)+a)^3,x)","-\frac{1}{2 \left(b \ln \left(c \,x^{n}\right)+a \right)^{2} b n}"," ",0,"-1/2/b/n/(b*ln(c*x^n)+a)^2","A"
86,0,0,97,0.949000," ","int(1/x^2/(b*ln(c*x^n)+a)^3,x)","\int \frac{1}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x^{2}}\, dx"," ",0,"int(1/x^2/(b*ln(c*x^n)+a)^3,x)","F"
87,0,0,97,0.981000," ","int(1/x^3/(b*ln(c*x^n)+a)^3,x)","\int \frac{1}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x^{3}}\, dx"," ",0,"int(1/x^3/(b*ln(c*x^n)+a)^3,x)","F"
88,0,0,98,1.024000," ","int(1/x^4/(b*ln(c*x^n)+a)^3,x)","\int \frac{1}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3} x^{4}}\, dx"," ",0,"int(1/x^4/(b*ln(c*x^n)+a)^3,x)","F"
89,1,128,33,0.148000," ","int((d*x)^(5/2)*(b*ln(c*x^n)+a),x)","\frac{2 b \,d^{3} x^{4} \ln \left(x^{n}\right)}{7 \sqrt{d x}}+\frac{\left(-7 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+7 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+7 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-7 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 b n +14 b \ln \left(c \right)+14 a \right) d^{3} x^{4}}{49 \sqrt{d x}}"," ",0,"2/7*d^3*b*x^4/(d*x)^(1/2)*ln(x^n)+1/49*d^3*(7*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-7*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-7*I*b*Pi*csgn(I*c*x^n)^3+7*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+14*b*ln(c)-4*b*n+14*a)*x^4/(d*x)^(1/2)","C"
90,1,128,33,0.123000," ","int((d*x)^(3/2)*(b*ln(c*x^n)+a),x)","\frac{2 b \,d^{2} x^{3} \ln \left(x^{n}\right)}{5 \sqrt{d x}}+\frac{\left(-5 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+5 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+5 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-5 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 b n +10 b \ln \left(c \right)+10 a \right) d^{2} x^{3}}{25 \sqrt{d x}}"," ",0,"2/5*d^2*b*x^3/(d*x)^(1/2)*ln(x^n)+1/25*d^2*(5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-5*I*b*Pi*csgn(I*c*x^n)^3+5*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+10*b*ln(c)-4*b*n+10*a)*x^3/(d*x)^(1/2)","C"
91,1,124,33,0.125000," ","int((d*x)^(1/2)*(b*ln(c*x^n)+a),x)","\frac{2 b d \,x^{2} \ln \left(x^{n}\right)}{3 \sqrt{d x}}+\frac{\left(-3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 b n +6 b \ln \left(c \right)+6 a \right) d \,x^{2}}{9 \sqrt{d x}}"," ",0,"2/3*d*b*x^2/(d*x)^(1/2)*ln(x^n)+1/9*d*(3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*b*Pi*csgn(I*c*x^n)^3+3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+6*b*ln(c)-4*b*n+6*a)*x^2/(d*x)^(1/2)","C"
92,1,42,33,0.040000," ","int((b*ln(c*x^n)+a)/(d*x)^(1/2),x)","-\frac{4 \sqrt{d x}\, b n}{d}+\frac{2 \sqrt{d x}\, b \ln \left(c \,x^{n}\right)}{d}+\frac{2 \sqrt{d x}\, a}{d}"," ",0,"2/d*(d*x)^(1/2)*b*ln(c*x^n)-4*b*n*(d*x)^(1/2)/d+2/d*(d*x)^(1/2)*a","A"
93,1,122,33,0.130000," ","int((b*ln(c*x^n)+a)/(d*x)^(3/2),x)","-\frac{2 b \ln \left(x^{n}\right)}{\sqrt{d x}\, d}-\frac{-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 b n +2 b \ln \left(c \right)+2 a}{\sqrt{d x}\, d}"," ",0,"-2/d*b/(d*x)^(1/2)*ln(x^n)-1/d*(I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+2*b*ln(c)+4*b*n+2*a)/(d*x)^(1/2)","C"
94,1,128,33,0.134000," ","int((b*ln(c*x^n)+a)/(d*x)^(5/2),x)","-\frac{2 b \ln \left(x^{n}\right)}{3 \sqrt{d x}\, d^{2} x}-\frac{-3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 b n +6 b \ln \left(c \right)+6 a}{9 \sqrt{d x}\, d^{2} x}"," ",0,"-2/3/d^2*b/x/(d*x)^(1/2)*ln(x^n)-1/9/d^2*(3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-3*I*b*Pi*csgn(I*c*x^n)^3+3*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+6*b*ln(c)+4*b*n+6*a)/x/(d*x)^(1/2)","C"
95,1,716,61,0.174000," ","int((d*x)^(5/2)*(b*ln(c*x^n)+a)^2,x)","\frac{2 b^{2} d^{3} x^{4} \ln \left(x^{n}\right)^{2}}{7 \sqrt{d x}}+\frac{2 \left(-7 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+7 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+7 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-7 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 b n +14 b \ln \left(c \right)+14 a \right) b \,d^{3} x^{4} \ln \left(x^{n}\right)}{49 \sqrt{d x}}+\frac{\left(-49 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+98 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+98 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-196 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+56 i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-196 i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-196 i \pi  a b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+196 a^{2}-56 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-56 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+196 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+196 i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+196 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+196 i \pi  a b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+32 b^{2} n^{2}-49 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+98 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-49 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+98 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}+392 a b \ln \left(c \right)-112 b^{2} n \ln \left(c \right)+196 b^{2} \ln \left(c \right)^{2}-112 a b n -49 \pi^{2} b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-196 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-196 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+56 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)\right) d^{3} x^{4}}{686 \sqrt{d x}}"," ",0,"2/7*d^3*x^4*b^2/(d*x)^(1/2)*ln(x^n)^2+2/49*d^3*b*x^4*(-7*I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+7*I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+7*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-7*I*Pi*b*csgn(I*c*x^n)^3-4*b*n+14*b*ln(c)+14*a)/(d*x)^(1/2)*ln(x^n)+1/686*d^3*(-49*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-196*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+98*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+98*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+196*a^2+32*b^2*n^2-196*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+392*a*b*ln(c)-112*b^2*n*ln(c)+196*b^2*ln(c)^2-49*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+98*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-112*a*b*n-49*Pi^2*b^2*csgn(I*c*x^n)^6+98*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-49*Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4+56*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-196*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+56*I*Pi*b^2*n*csgn(I*c*x^n)^3-196*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^3-196*I*Pi*a*b*csgn(I*c*x^n)^3+196*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+196*I*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c)-56*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-56*I*Pi*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)+196*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)+196*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2)*x^4/(d*x)^(1/2)","C"
96,1,716,61,0.173000," ","int((d*x)^(3/2)*(b*ln(c*x^n)+a)^2,x)","\frac{2 b^{2} d^{2} x^{3} \ln \left(x^{n}\right)^{2}}{5 \sqrt{d x}}+\frac{2 \left(-5 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+5 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+5 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-5 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 b n +10 b \ln \left(c \right)+10 a \right) b \,d^{2} x^{3} \ln \left(x^{n}\right)}{25 \sqrt{d x}}+\frac{\left(-25 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+50 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+50 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-100 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+40 i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-100 i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-100 i \pi  a b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+100 a^{2}-40 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-40 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+100 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+100 i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+100 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+100 i \pi  a b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+32 b^{2} n^{2}-25 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+50 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-25 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+50 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}+200 a b \ln \left(c \right)-80 b^{2} n \ln \left(c \right)+100 b^{2} \ln \left(c \right)^{2}-80 a b n -25 \pi^{2} b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-100 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-100 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+40 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)\right) d^{2} x^{3}}{250 \sqrt{d x}}"," ",0,"2/5*d^2*b^2*x^3/(d*x)^(1/2)*ln(x^n)^2+2/25*d^2*b*x^3*(5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-5*I*b*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-5*I*b*Pi*csgn(I*c*x^n)^3+5*I*b*Pi*csgn(I*c*x^n)^2*csgn(I*c)+10*b*ln(c)-4*b*n+10*a)/(d*x)^(1/2)*ln(x^n)+1/250*d^2*(-25*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-100*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+50*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+50*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+100*a^2+32*b^2*n^2-100*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+200*a*b*ln(c)-80*b^2*n*ln(c)+100*b^2*ln(c)^2-25*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+50*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-80*a*b*n-25*Pi^2*b^2*csgn(I*c*x^n)^6+50*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-25*Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4-100*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+40*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-100*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^3-100*I*Pi*a*b*csgn(I*c*x^n)^3+40*I*Pi*b^2*n*csgn(I*c*x^n)^3+100*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)+100*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2+100*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+100*I*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c)-40*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-40*I*Pi*b^2*n*csgn(I*c*x^n)^2*csgn(I*c))*x^3/(d*x)^(1/2)","C"
97,1,710,61,0.181000," ","int((d*x)^(1/2)*(b*ln(c*x^n)+a)^2,x)","\frac{2 b^{2} d \,x^{2} \ln \left(x^{n}\right)^{2}}{3 \sqrt{d x}}+\frac{2 \left(-3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 b n +6 b \ln \left(c \right)+6 a \right) b d \,x^{2} \ln \left(x^{n}\right)}{9 \sqrt{d x}}+\frac{\left(-9 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+18 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-36 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+24 i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-36 i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-36 i \pi  a b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+36 a^{2}-24 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-24 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+36 i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+36 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  a b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+32 b^{2} n^{2}-9 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+18 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-9 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+18 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}+72 a b \ln \left(c \right)-48 b^{2} n \ln \left(c \right)+36 b^{2} \ln \left(c \right)^{2}-48 a b n -9 \pi^{2} b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-36 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-36 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+24 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)\right) d \,x^{2}}{54 \sqrt{d x}}"," ",0,"2/3*d*b^2*x^2/(d*x)^(1/2)*ln(x^n)^2+2/9*d*b*x^2*(3*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-3*I*Pi*b*csgn(I*c*x^n)^3+3*I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+6*b*ln(c)-4*b*n+6*a)/(d*x)^(1/2)*ln(x^n)+1/54*d*(-9*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-36*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+18*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+18*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+36*a^2+32*b^2*n^2+24*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+72*a*b*ln(c)-48*b^2*n*ln(c)+36*b^2*ln(c)^2-9*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+18*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-48*a*b*n-9*Pi^2*b^2*csgn(I*c*x^n)^6+18*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-9*Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4-36*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-36*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-36*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^3-36*I*Pi*a*b*csgn(I*c*x^n)^3+24*I*Pi*b^2*n*csgn(I*c*x^n)^3-24*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-24*I*Pi*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)+36*I*ln(c)*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*ln(c)*Pi*b^2*csgn(I*c*x^n)^2*csgn(I*c)+36*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*Pi*a*b*csgn(I*c*x^n)^2*csgn(I*c))*x^2/(d*x)^(1/2)","C"
98,1,107,61,0.056000," ","int((b*ln(c*x^n)+a)^2/(d*x)^(1/2),x)","\frac{16 \sqrt{d x}\, b^{2} n^{2}}{d}-\frac{8 \sqrt{d x}\, b^{2} n \ln \left(c \,{\mathrm e}^{n \ln \left(x \right)}\right)}{d}+\frac{2 \sqrt{d x}\, b^{2} \ln \left(c \,{\mathrm e}^{n \ln \left(x \right)}\right)^{2}}{d}-\frac{8 \sqrt{d x}\, a b n}{d}+\frac{4 \sqrt{d x}\, a b \ln \left(c \,x^{n}\right)}{d}+\frac{2 \sqrt{d x}\, a^{2}}{d}"," ",0,"2/d*b^2*(d*x)^(1/2)*ln(c*exp(n*ln(x)))^2-8/d*b^2*n*(d*x)^(1/2)*ln(c*exp(n*ln(x)))+16*b^2*n^2*(d*x)^(1/2)/d+4/d*(d*x)^(1/2)*a*b*ln(c*x^n)-8/d*(d*x)^(1/2)*a*b*n+2/d*(d*x)^(1/2)*a^2","A"
99,1,707,61,0.174000," ","int((b*ln(c*x^n)+a)^2/(d*x)^(3/2),x)","-\frac{2 b^{2} \ln \left(x^{n}\right)^{2}}{\sqrt{d x}\, d}-\frac{2 \left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 b n +2 b \ln \left(c \right)+2 a \right) b \ln \left(x^{n}\right)}{\sqrt{d x}\, d}-\frac{-\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-8 i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-4 i \pi  a b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 a^{2}+8 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+8 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  a b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+32 b^{2} n^{2}-\pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-\pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}+8 a b \ln \left(c \right)+16 b^{2} n \ln \left(c \right)+4 b^{2} \ln \left(c \right)^{2}+16 a b n -\pi^{2} b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-4 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-4 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-8 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 \sqrt{d x}\, d}"," ",0,"-2/d*b^2/(d*x)^(1/2)*ln(x^n)^2-2/d*b*(-I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*c*x^n)^3+4*b*n+2*b*ln(c)+2*a)/(d*x)^(1/2)*ln(x^n)-1/2/d*(-Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-4*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+2*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-4*I*Pi*a*b*csgn(I*c*x^n)^3-4*I*Pi*b^2*csgn(I*c*x^n)^3*ln(c)+4*a^2+32*b^2*n^2+8*a*b*ln(c)+16*b^2*n*ln(c)+4*b^2*ln(c)^2-Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5+16*a*b*n-Pi^2*b^2*csgn(I*c*x^n)^6+2*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4-8*I*Pi*b^2*n*csgn(I*c*x^n)^3+4*I*Pi*a*b*csgn(I*c)*csgn(I*c*x^n)^2+4*I*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*b^2*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)+8*I*Pi*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)+8*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-8*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*Pi*a*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n))/(d*x)^(1/2)","C"
100,1,716,61,0.176000," ","int((b*ln(c*x^n)+a)^2/(d*x)^(5/2),x)","-\frac{2 b^{2} \ln \left(x^{n}\right)^{2}}{3 \sqrt{d x}\, d^{2} x}-\frac{2 \left(-3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+3 i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+3 i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-3 i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 b n +6 b \ln \left(c \right)+6 a \right) b \ln \left(x^{n}\right)}{9 \sqrt{d x}\, d^{2} x}-\frac{-9 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+18 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+18 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-36 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}-24 i \pi  \,b^{2} n \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-36 i \pi  \,b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)-36 i \pi  a b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+36 a^{2}+24 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+24 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+36 i \pi  \,b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+36 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+36 i \pi  a b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+32 b^{2} n^{2}-9 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+18 \pi^{2} b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-9 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+18 \pi^{2} b^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}+72 a b \ln \left(c \right)+48 b^{2} n \ln \left(c \right)+36 b^{2} \ln \left(c \right)^{2}+48 a b n -9 \pi^{2} b^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-36 i \pi  \,b^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)-36 i \pi  a b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-24 i \pi  \,b^{2} n \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{54 \sqrt{d x}\, d^{2} x}"," ",0,"-2/3/d^2*b^2/x/(d*x)^(1/2)*ln(x^n)^2-2/9/d^2*b*(-3*I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+3*I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2+3*I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2-3*I*Pi*b*csgn(I*c*x^n)^3+4*b*n+6*b*ln(c)+6*a)/x/(d*x)^(1/2)*ln(x^n)-1/54/d^2*(-9*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-36*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+18*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+18*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3+36*a^2+32*b^2*n^2+72*a*b*ln(c)+48*b^2*n*ln(c)+36*b^2*ln(c)^2-9*Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+18*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5+48*a*b*n-9*Pi^2*b^2*csgn(I*c*x^n)^6+18*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-9*Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4-36*I*Pi*a*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-36*I*Pi*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)-36*I*Pi*b^2*csgn(I*c*x^n)^3*ln(c)-36*I*Pi*a*b*csgn(I*c*x^n)^3-24*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-24*I*Pi*b^2*n*csgn(I*c*x^n)^3+24*I*Pi*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)+24*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)+36*I*Pi*b^2*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)+36*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2+36*I*Pi*a*b*csgn(I*c)*csgn(I*c*x^n)^2)/x/(d*x)^(1/2)","C"
101,0,0,59,0.141000," ","int((d*x)^(5/2)/(b*ln(c*x^n)+a),x)","\int \frac{\left(d x \right)^{\frac{5}{2}}}{b \ln \left(c \,x^{n}\right)+a}\, dx"," ",0,"int((d*x)^(5/2)/(b*ln(c*x^n)+a),x)","F"
102,0,0,59,0.139000," ","int((d*x)^(3/2)/(b*ln(c*x^n)+a),x)","\int \frac{\left(d x \right)^{\frac{3}{2}}}{b \ln \left(c \,x^{n}\right)+a}\, dx"," ",0,"int((d*x)^(3/2)/(b*ln(c*x^n)+a),x)","F"
103,0,0,59,0.141000," ","int((d*x)^(1/2)/(b*ln(c*x^n)+a),x)","\int \frac{\sqrt{d x}}{b \ln \left(c \,x^{n}\right)+a}\, dx"," ",0,"int((d*x)^(1/2)/(b*ln(c*x^n)+a),x)","F"
104,0,0,59,0.143000," ","int(1/(d*x)^(1/2)/(b*ln(c*x^n)+a),x)","\int \frac{1}{\sqrt{d x}\, \left(b \ln \left(c \,x^{n}\right)+a \right)}\, dx"," ",0,"int(1/(d*x)^(1/2)/(b*ln(c*x^n)+a),x)","F"
105,0,0,58,0.142000," ","int(1/(d*x)^(3/2)/(b*ln(c*x^n)+a),x)","\int \frac{1}{\left(d x \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}\, dx"," ",0,"int(1/(d*x)^(3/2)/(b*ln(c*x^n)+a),x)","F"
106,0,0,55,0.144000," ","int(1/(d*x)^(5/2)/(b*ln(c*x^n)+a),x)","\int \frac{1}{\left(d x \right)^{\frac{5}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)}\, dx"," ",0,"int(1/(d*x)^(5/2)/(b*ln(c*x^n)+a),x)","F"
107,0,0,89,5.100000," ","int((d*x)^(5/2)/(b*ln(c*x^n)+a)^2,x)","\int \frac{\left(d x \right)^{\frac{5}{2}}}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}\, dx"," ",0,"int((d*x)^(5/2)/(b*ln(c*x^n)+a)^2,x)","F"
108,0,0,89,5.217000," ","int((d*x)^(3/2)/(b*ln(c*x^n)+a)^2,x)","\int \frac{\left(d x \right)^{\frac{3}{2}}}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}\, dx"," ",0,"int((d*x)^(3/2)/(b*ln(c*x^n)+a)^2,x)","F"
109,0,0,89,4.997000," ","int((d*x)^(1/2)/(b*ln(c*x^n)+a)^2,x)","\int \frac{\sqrt{d x}}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}\, dx"," ",0,"int((d*x)^(1/2)/(b*ln(c*x^n)+a)^2,x)","F"
110,1,427,89,2.000000," ","int(1/(d*x)^(1/2)/(b*ln(c*x^n)+a)^2,x)","-\frac{2 x}{\sqrt{d x}\, \left(-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i {\mathrm e}^{n \ln \left(x \right)}\right) \mathrm{csgn}\left(i c \,{\mathrm e}^{n \ln \left(x \right)}\right)+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,{\mathrm e}^{n \ln \left(x \right)}\right)^{2}+i \pi  b \,\mathrm{csgn}\left(i {\mathrm e}^{n \ln \left(x \right)}\right) \mathrm{csgn}\left(i c \,{\mathrm e}^{n \ln \left(x \right)}\right)^{2}-i \pi  b \mathrm{csgn}\left(i c \,{\mathrm e}^{n \ln \left(x \right)}\right)^{3}+2 b \ln \left(c \right)+2 b \ln \left({\mathrm e}^{n \ln \left(x \right)}\right)+2 a \right) b n}-\frac{\Ei \left(1, -\frac{\ln \left(d x \right)}{2}+\frac{i \left(\pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i {\mathrm e}^{n \ln \left(x \right)}\right) \mathrm{csgn}\left(i c \,{\mathrm e}^{n \ln \left(x \right)}\right)-\pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,{\mathrm e}^{n \ln \left(x \right)}\right)^{2}-\pi  b \,\mathrm{csgn}\left(i {\mathrm e}^{n \ln \left(x \right)}\right) \mathrm{csgn}\left(i c \,{\mathrm e}^{n \ln \left(x \right)}\right)^{2}+\pi  b \mathrm{csgn}\left(i c \,{\mathrm e}^{n \ln \left(x \right)}\right)^{3}+2 i \left(\ln \left(x \right)-\ln \left(d x \right)\right) b n +2 i b \ln \left(c \right)+2 i a +2 i \left(-n \ln \left(x \right)+\ln \left({\mathrm e}^{n \ln \left(x \right)}\right)\right) b \right)}{4 b n}\right) {\mathrm e}^{\frac{i \left(\pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i {\mathrm e}^{n \ln \left(x \right)}\right) \mathrm{csgn}\left(i c \,{\mathrm e}^{n \ln \left(x \right)}\right)-\pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,{\mathrm e}^{n \ln \left(x \right)}\right)^{2}-\pi  b \,\mathrm{csgn}\left(i {\mathrm e}^{n \ln \left(x \right)}\right) \mathrm{csgn}\left(i c \,{\mathrm e}^{n \ln \left(x \right)}\right)^{2}+\pi  b \mathrm{csgn}\left(i c \,{\mathrm e}^{n \ln \left(x \right)}\right)^{3}+2 i \left(\ln \left(x \right)-\ln \left(d x \right)\right) b n +2 i b \ln \left(c \right)+2 i a +2 i \left(-n \ln \left(x \right)+\ln \left({\mathrm e}^{n \ln \left(x \right)}\right)\right) b \right)}{4 b n}}}{2 b^{2} d \,n^{2}}"," ",0,"-2/b/n*x/(d*x)^(1/2)/(2*a+2*b*ln(c)+2*b*ln(exp(n*ln(x)))+I*b*Pi*csgn(I*exp(n*ln(x)))*csgn(I*c*exp(n*ln(x)))^2-I*b*Pi*csgn(I*exp(n*ln(x)))*csgn(I*c*exp(n*ln(x)))*csgn(I*c)-I*b*Pi*csgn(I*c*exp(n*ln(x)))^3+I*b*Pi*csgn(I*c*exp(n*ln(x)))^2*csgn(I*c))-1/2/d/b^2/n^2*exp(1/4*I*(b*Pi*csgn(I*exp(n*ln(x)))*csgn(I*c*exp(n*ln(x)))*csgn(I*c)-b*Pi*csgn(I*c*exp(n*ln(x)))^2*csgn(I*c)-b*Pi*csgn(I*exp(n*ln(x)))*csgn(I*c*exp(n*ln(x)))^2+b*Pi*csgn(I*c*exp(n*ln(x)))^3+2*I*b*n*(ln(x)-ln(d*x))+2*I*b*ln(c)+2*I*b*(ln(exp(n*ln(x)))-n*ln(x))+2*I*a)/b/n)*Ei(1,-1/2*ln(d*x)+1/4*I*(b*Pi*csgn(I*exp(n*ln(x)))*csgn(I*c*exp(n*ln(x)))*csgn(I*c)-b*Pi*csgn(I*c*exp(n*ln(x)))^2*csgn(I*c)-b*Pi*csgn(I*exp(n*ln(x)))*csgn(I*c*exp(n*ln(x)))^2+b*Pi*csgn(I*c*exp(n*ln(x)))^3+2*I*b*n*(ln(x)-ln(d*x))+2*I*b*ln(c)+2*I*b*(ln(exp(n*ln(x)))-n*ln(x))+2*I*a)/b/n)","C"
111,0,0,88,4.995000," ","int(1/(d*x)^(3/2)/(b*ln(c*x^n)+a)^2,x)","\int \frac{1}{\left(d x \right)^{\frac{3}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(d*x)^(3/2)/(b*ln(c*x^n)+a)^2,x)","F"
112,0,0,85,5.159000," ","int(1/(d*x)^(5/2)/(b*ln(c*x^n)+a)^2,x)","\int \frac{1}{\left(d x \right)^{\frac{5}{2}} \left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(d*x)^(5/2)/(b*ln(c*x^n)+a)^2,x)","F"
113,0,0,69,0.731000," ","int((b*ln(c*x^n)+a)^(1/2),x)","\int \sqrt{b \ln \left(c \,x^{n}\right)+a}\, dx"," ",0,"int((b*ln(c*x^n)+a)^(1/2),x)","F"
114,0,0,52,0.647000," ","int(x^3*ln(a*x^n)^(1/2),x)","\int x^{3} \sqrt{\ln \left(a \,x^{n}\right)}\, dx"," ",0,"int(x^3*ln(a*x^n)^(1/2),x)","F"
115,0,0,57,0.296000," ","int(x^2*ln(a*x^n)^(1/2),x)","\int x^{2} \sqrt{\ln \left(a \,x^{n}\right)}\, dx"," ",0,"int(x^2*ln(a*x^n)^(1/2),x)","F"
116,0,0,57,0.294000," ","int(x*ln(a*x^n)^(1/2),x)","\int x \sqrt{\ln \left(a \,x^{n}\right)}\, dx"," ",0,"int(x*ln(a*x^n)^(1/2),x)","F"
117,0,0,44,0.288000," ","int(ln(a*x^n)^(1/2),x)","\int \sqrt{\ln \left(a \,x^{n}\right)}\, dx"," ",0,"int(ln(a*x^n)^(1/2),x)","F"
118,1,14,13,0.028000," ","int(ln(a*x^n)^(1/2)/x,x)","\frac{2 \ln \left(a \,x^{n}\right)^{\frac{3}{2}}}{3 n}"," ",0,"2/3*ln(a*x^n)^(3/2)/n","A"
119,0,0,47,0.289000," ","int(ln(a*x^n)^(1/2)/x^2,x)","\int \frac{\sqrt{\ln \left(a \,x^{n}\right)}}{x^{2}}\, dx"," ",0,"int(ln(a*x^n)^(1/2)/x^2,x)","F"
120,0,0,55,0.289000," ","int(ln(a*x^n)^(1/2)/x^3,x)","\int \frac{\sqrt{\ln \left(a \,x^{n}\right)}}{x^{3}}\, dx"," ",0,"int(ln(a*x^n)^(1/2)/x^3,x)","F"
121,0,0,66,0.293000," ","int(x^3*ln(a*x^n)^(3/2),x)","\int x^{3} \ln \left(a \,x^{n}\right)^{\frac{3}{2}}\, dx"," ",0,"int(x^3*ln(a*x^n)^(3/2),x)","F"
122,0,0,71,0.305000," ","int(x^2*ln(a*x^n)^(3/2),x)","\int x^{2} \ln \left(a \,x^{n}\right)^{\frac{3}{2}}\, dx"," ",0,"int(x^2*ln(a*x^n)^(3/2),x)","F"
123,0,0,71,0.303000," ","int(x*ln(a*x^n)^(3/2),x)","\int x \ln \left(a \,x^{n}\right)^{\frac{3}{2}}\, dx"," ",0,"int(x*ln(a*x^n)^(3/2),x)","F"
124,0,0,56,0.276000," ","int(ln(a*x^n)^(3/2),x)","\int \ln \left(a \,x^{n}\right)^{\frac{3}{2}}\, dx"," ",0,"int(ln(a*x^n)^(3/2),x)","F"
125,1,14,13,0.028000," ","int(ln(a*x^n)^(3/2)/x,x)","\frac{2 \ln \left(a \,x^{n}\right)^{\frac{5}{2}}}{5 n}"," ",0,"2/5*ln(a*x^n)^(5/2)/n","A"
126,0,0,61,0.297000," ","int(ln(a*x^n)^(3/2)/x^2,x)","\int \frac{\ln \left(a \,x^{n}\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"int(ln(a*x^n)^(3/2)/x^2,x)","F"
127,0,0,69,0.283000," ","int(ln(a*x^n)^(3/2)/x^3,x)","\int \frac{\ln \left(a \,x^{n}\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"int(ln(a*x^n)^(3/2)/x^3,x)","F"
128,0,0,38,0.293000," ","int(x^3/ln(a*x^n)^(1/2),x)","\int \frac{x^{3}}{\sqrt{\ln \left(a \,x^{n}\right)}}\, dx"," ",0,"int(x^3/ln(a*x^n)^(1/2),x)","F"
129,0,0,43,0.296000," ","int(x^2/ln(a*x^n)^(1/2),x)","\int \frac{x^{2}}{\sqrt{\ln \left(a \,x^{n}\right)}}\, dx"," ",0,"int(x^2/ln(a*x^n)^(1/2),x)","F"
130,0,0,43,0.291000," ","int(x/ln(a*x^n)^(1/2),x)","\int \frac{x}{\sqrt{\ln \left(a \,x^{n}\right)}}\, dx"," ",0,"int(x/ln(a*x^n)^(1/2),x)","F"
131,0,0,32,0.276000," ","int(1/ln(a*x^n)^(1/2),x)","\int \frac{1}{\sqrt{\ln \left(a \,x^{n}\right)}}\, dx"," ",0,"int(1/ln(a*x^n)^(1/2),x)","F"
132,1,14,13,0.029000," ","int(1/x/ln(a*x^n)^(1/2),x)","\frac{2 \sqrt{\ln \left(a \,x^{n}\right)}}{n}"," ",0,"2*ln(a*x^n)^(1/2)/n","A"
133,0,0,32,0.282000," ","int(1/x^2/ln(a*x^n)^(1/2),x)","\int \frac{1}{x^{2} \sqrt{\ln \left(a \,x^{n}\right)}}\, dx"," ",0,"int(1/x^2/ln(a*x^n)^(1/2),x)","F"
134,0,0,41,0.292000," ","int(1/x^3/ln(a*x^n)^(1/2),x)","\int \frac{1}{x^{3} \sqrt{\ln \left(a \,x^{n}\right)}}\, dx"," ",0,"int(1/x^3/ln(a*x^n)^(1/2),x)","F"
135,0,0,55,0.298000," ","int(x^3/ln(a*x^n)^(3/2),x)","\int \frac{x^{3}}{\ln \left(a \,x^{n}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^3/ln(a*x^n)^(3/2),x)","F"
136,0,0,60,0.301000," ","int(x^2/ln(a*x^n)^(3/2),x)","\int \frac{x^{2}}{\ln \left(a \,x^{n}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^2/ln(a*x^n)^(3/2),x)","F"
137,0,0,60,0.286000," ","int(x/ln(a*x^n)^(3/2),x)","\int \frac{x}{\ln \left(a \,x^{n}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x/ln(a*x^n)^(3/2),x)","F"
138,0,0,48,0.296000," ","int(1/ln(a*x^n)^(3/2),x)","\int \frac{1}{\ln \left(a \,x^{n}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/ln(a*x^n)^(3/2),x)","F"
139,1,14,13,0.031000," ","int(1/x/ln(a*x^n)^(3/2),x)","-\frac{2}{n \sqrt{\ln \left(a \,x^{n}\right)}}"," ",0,"-2/n/ln(a*x^n)^(1/2)","A"
140,0,0,50,0.283000," ","int(1/x^2/ln(a*x^n)^(3/2),x)","\int \frac{1}{x^{2} \ln \left(a \,x^{n}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x^2/ln(a*x^n)^(3/2),x)","F"
141,0,0,58,0.290000," ","int(1/x^3/ln(a*x^n)^(3/2),x)","\int \frac{1}{x^{3} \ln \left(a \,x^{n}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/x^3/ln(a*x^n)^(3/2),x)","F"
142,0,0,71,0.281000," ","int(x^3/ln(a*x^n)^(5/2),x)","\int \frac{x^{3}}{\ln \left(a \,x^{n}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^3/ln(a*x^n)^(5/2),x)","F"
143,0,0,76,0.277000," ","int(x^2/ln(a*x^n)^(5/2),x)","\int \frac{x^{2}}{\ln \left(a \,x^{n}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^2/ln(a*x^n)^(5/2),x)","F"
144,0,0,76,0.294000," ","int(x/ln(a*x^n)^(5/2),x)","\int \frac{x}{\ln \left(a \,x^{n}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x/ln(a*x^n)^(5/2),x)","F"
145,0,0,62,0.295000," ","int(1/ln(a*x^n)^(5/2),x)","\int \frac{1}{\ln \left(a \,x^{n}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/ln(a*x^n)^(5/2),x)","F"
146,1,14,13,0.030000," ","int(1/x/ln(a*x^n)^(5/2),x)","-\frac{2}{3 n \ln \left(a \,x^{n}\right)^{\frac{3}{2}}}"," ",0,"-2/3/n/ln(a*x^n)^(3/2)","A"
147,0,0,66,0.299000," ","int(1/x^2/ln(a*x^n)^(5/2),x)","\int \frac{1}{x^{2} \ln \left(a \,x^{n}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/x^2/ln(a*x^n)^(5/2),x)","F"
148,0,0,74,0.286000," ","int(1/x^3/ln(a*x^n)^(5/2),x)","\int \frac{1}{x^{3} \ln \left(a \,x^{n}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/x^3/ln(a*x^n)^(5/2),x)","F"
149,1,260,21,0.173000," ","int((d*x)^m*(a+a*(m+1)*ln(c*x^n)/n),x)","\frac{a x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)+i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}-i \pi  \mathrm{csgn}\left(i d x \right)^{3}+2 \ln \left(d \right)+2 \ln \left(x \right)\right) m}{2}} \ln \left(x^{n}\right)}{n}+\frac{\left(-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 \ln \left(c \right)\right) a x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)+i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}-i \pi  \mathrm{csgn}\left(i d x \right)^{3}+2 \ln \left(d \right)+2 \ln \left(x \right)\right) m}{2}}}{2 n}"," ",0,"a/n*x*exp(1/2*m*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x)))*ln(x^n)+1/2*a*(I*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-I*Pi*csgn(I*c*x^n)^3+I*Pi*csgn(I*c*x^n)^2*csgn(I*c)+2*ln(c))*x/n*exp(1/2*m*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x)))","C"
150,1,9684,116,0.777000," ","int((d*x)^m*(b*ln(c*x^n)+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
151,1,2126,81,0.254000," ","int((d*x)^m*(b*ln(c*x^n)+a)^2,x)","\text{Expression too large to display}"," ",0,"b^2/(m+1)*x*exp(1/2*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x))*m)*ln(x^n)^2-b*(-I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2*m+I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)*m+I*Pi*b*csgn(I*c*x^n)^3*m-I*Pi*b*csgn(I*c*x^n)^2*csgn(I*c)*m-I*csgn(I*c*x^n)^2*csgn(I*x^n)*b*Pi+I*csgn(I*c)*csgn(I*c*x^n)*csgn(I*x^n)*b*Pi+I*csgn(I*c*x^n)^3*b*Pi-I*csgn(I*c)*csgn(I*c*x^n)^2*b*Pi-2*b*ln(c)*m-2*b*ln(c)-2*a*m+2*b*n-2*a)/(m+1)^2*x*exp(1/2*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x))*m)*ln(x^n)+1/4*(4*ln(c)^2*b^2*m^2+8*ln(c)^2*b^2*m-Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2-4*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3+2*Pi^2*b^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-4*I*Pi*a*b*csgn(I*c*x^n)^3-4*I*Pi*b^2*csgn(I*c*x^n)^3*ln(c)+4*a^2+8*b^2*n^2-8*a*b*m*n+8*a*b*ln(c)-8*b^2*n*ln(c)+4*b^2*ln(c)^2+4*a^2*m^2+8*a^2*m-Pi^2*b^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*b^2*csgn(I*x^n)*csgn(I*c*x^n)^5-8*a*b*n-Pi^2*b^2*csgn(I*c*x^n)^6+2*Pi^2*b^2*csgn(I*c)*csgn(I*c*x^n)^5-Pi^2*b^2*csgn(I*c)^2*csgn(I*c*x^n)^4-8*I*Pi*ln(c)*b^2*m*csgn(I*c*x^n)^3-4*I*Pi*a*b*m^2*csgn(I*c*x^n)^3+4*I*Pi*b^2*m*n*csgn(I*c*x^n)^3-8*I*Pi*a*b*m*csgn(I*c*x^n)^3+2*Pi^2*b^2*m^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+4*Pi^2*b^2*m*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-2*Pi^2*b^2*m*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*b^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)^5+4*Pi^2*b^2*m*csgn(I*x^n)*csgn(I*c*x^n)^5+2*Pi^2*b^2*m^2*csgn(I*c*x^n)^5*csgn(I*c)+4*Pi^2*b^2*m*csgn(I*c*x^n)^5*csgn(I*c)-Pi^2*b^2*m^2*csgn(I*c*x^n)^4*csgn(I*c)^2+4*I*Pi*a*b*csgn(I*c)*csgn(I*c*x^n)^2+4*I*Pi*b^2*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*b^2*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*a*b*csgn(I*x^n)*csgn(I*c*x^n)^2+8*I*Pi*a*b*m*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*Pi*b^2*n*csgn(I*c*x^n)^3-Pi^2*b^2*m^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4-4*I*Pi*b^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)+8*ln(c)*a*b*m^2+16*ln(c)*a*b*m-8*ln(c)*b^2*m*n+8*I*Pi*a*b*m*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*ln(c)*b^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*Pi*ln(c)*b^2*m^2*csgn(I*c*x^n)^2*csgn(I*c)+8*I*Pi*ln(c)*b^2*m*csgn(I*x^n)*csgn(I*c*x^n)^2-2*Pi^2*b^2*m*csgn(I*c*x^n)^4*csgn(I*c)^2-4*I*Pi*b^2*m*n*csgn(I*c*x^n)^2*csgn(I*c)-4*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)^2-4*I*Pi*b^2*n*csgn(I*c*x^n)^2*csgn(I*c)-4*I*Pi*ln(c)*b^2*m^2*csgn(I*c*x^n)^3-Pi^2*b^2*m^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-2*Pi^2*b^2*m*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-4*Pi^2*b^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)-8*Pi^2*b^2*m*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+2*Pi^2*b^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+4*Pi^2*b^2*m*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-4*I*Pi*a*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-4*I*Pi*ln(c)*b^2*m^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-Pi^2*b^2*m^2*csgn(I*c*x^n)^6-2*Pi^2*b^2*m*csgn(I*c*x^n)^6-8*I*Pi*ln(c)*b^2*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*Pi*a*b*m^2*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4*I*Pi*b^2*m*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-8*I*Pi*a*b*m*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+4*I*Pi*b^2*n*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+8*I*Pi*ln(c)*b^2*m*csgn(I*c*x^n)^2*csgn(I*c)+4*I*Pi*a*b*m^2*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*Pi*a*b*m^2*csgn(I*c*x^n)^2*csgn(I*c)-4*I*Pi*b^2*m*n*csgn(I*x^n)*csgn(I*c*x^n)^2)/(m+1)^3*x*exp(1/2*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x))*m)","C"
152,1,371,46,0.168000," ","int((d*x)^m*(b*ln(c*x^n)+a),x)","\frac{b x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)+i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}-i \pi  \mathrm{csgn}\left(i d x \right)^{3}+2 \ln \left(d \right)+2 \ln \left(x \right)\right) m}{2}} \ln \left(x^{n}\right)}{m +1}-\frac{\left(i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b m \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b m \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b m \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  b \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  b \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-2 b m \ln \left(c \right)-2 a m +2 b n -2 b \ln \left(c \right)-2 a \right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)+i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}-i \pi  \mathrm{csgn}\left(i d x \right)^{3}+2 \ln \left(d \right)+2 \ln \left(x \right)\right) m}{2}}}{2 \left(m +1\right)^{2}}"," ",0,"b/(m+1)*x*exp(1/2*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x))*m)*ln(x^n)-1/2*(I*Pi*b*m*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*m*csgn(I*c)*csgn(I*c*x^n)^2-I*Pi*b*m*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*m*csgn(I*c*x^n)^3+I*Pi*b*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*b*csgn(I*c)*csgn(I*c*x^n)^2-I*Pi*b*csgn(I*x^n)*csgn(I*c*x^n)^2+I*Pi*b*csgn(I*c*x^n)^3-2*b*m*ln(c)-2*a*m+2*b*n-2*b*ln(c)-2*a)/(m+1)^2*x*exp(1/2*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x))*m)","C"
153,0,0,67,0.515000," ","int((d*x)^m/(b*ln(c*x^n)+a),x)","\int \frac{\left(d x \right)^{m}}{b \ln \left(c \,x^{n}\right)+a}\, dx"," ",0,"int((d*x)^m/(b*ln(c*x^n)+a),x)","F"
154,0,0,101,1.962000," ","int((d*x)^m/(b*ln(c*x^n)+a)^2,x)","\int \frac{\left(d x \right)^{m}}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{2}}\, dx"," ",0,"int((d*x)^m/(b*ln(c*x^n)+a)^2,x)","F"
155,0,0,137,1.842000," ","int((d*x)^m/(b*ln(c*x^n)+a)^3,x)","\int \frac{\left(d x \right)^{m}}{\left(b \ln \left(c \,x^{n}\right)+a \right)^{3}}\, dx"," ",0,"int((d*x)^m/(b*ln(c*x^n)+a)^3,x)","F"
156,1,2008,74,0.302000," ","int((d*x)^(n-1)*ln(c*x^n)^3,x)","\text{Expression too large to display}"," ",0,"1/n*x*exp(1/2*(n-1)*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x)))*ln(x^n)^3+3/2*(I*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-I*Pi*csgn(I*c*x^n)^3+I*Pi*csgn(I*c)*csgn(I*c*x^n)^2+2*ln(c)-2)/n*x*exp(1/2*(n-1)*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x)))*ln(x^n)^2+3/4*(-Pi^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-Pi^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2+2*Pi^2*csgn(I*x^n)*csgn(I*c*x^n)^5-4*Pi^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+2*Pi^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-Pi^2*csgn(I*c*x^n)^6+2*Pi^2*csgn(I*c*x^n)^5*csgn(I*c)-Pi^2*csgn(I*c*x^n)^4*csgn(I*c)^2+4*I*Pi*csgn(I*c*x^n)^3-4*I*ln(c)*Pi*csgn(I*c*x^n)^3+4*I*ln(c)*Pi*csgn(I*c*x^n)^2*csgn(I*c)-4*I*Pi*csgn(I*c*x^n)^2*csgn(I*c)+4*I*ln(c)*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*ln(c)*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-4*I*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+4*ln(c)^2-8*ln(c)+8)/n*x*exp(1/2*(n-1)*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x)))*ln(x^n)+1/8*(-48-12*Pi^2*csgn(I*c*x^n)^5*csgn(I*c)+6*Pi^2*csgn(I*c*x^n)^4*csgn(I*c)^2-12*Pi^2*csgn(I*x^n)*csgn(I*c*x^n)^5+6*Pi^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+6*Pi^2*csgn(I*c*x^n)^6+I*Pi^3*csgn(I*c*x^n)^9-24*I*Pi*csgn(I*c*x^n)^3-6*ln(c)*Pi^2*csgn(I*c*x^n)^6+48*ln(c)-24*ln(c)^2+24*I*Pi*csgn(I*c*x^n)^2*csgn(I*c)+24*I*ln(c)*Pi*csgn(I*c*x^n)^3-12*I*ln(c)^2*Pi*csgn(I*c*x^n)^3-I*Pi^3*csgn(I*x^n)^3*csgn(I*c*x^n)^6+3*I*Pi^3*csgn(I*x^n)^2*csgn(I*c*x^n)^7-3*I*Pi^3*csgn(I*x^n)*csgn(I*c*x^n)^8-6*ln(c)*Pi^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+12*ln(c)*Pi^2*csgn(I*x^n)*csgn(I*c*x^n)^5+12*ln(c)*Pi^2*csgn(I*c*x^n)^5*csgn(I*c)-6*ln(c)*Pi^2*csgn(I*c*x^n)^4*csgn(I*c)^2+24*I*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-12*Pi^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)+6*Pi^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2+24*Pi^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)-12*Pi^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2+8*ln(c)^3-3*I*Pi^3*csgn(I*c*x^n)^8*csgn(I*c)+3*I*Pi^3*csgn(I*c*x^n)^7*csgn(I*c)^2-I*Pi^3*csgn(I*c*x^n)^6*csgn(I*c)^3-3*I*Pi^3*csgn(I*x^n)^3*csgn(I*c*x^n)^4*csgn(I*c)^2-9*I*Pi^3*csgn(I*x^n)^2*csgn(I*c*x^n)^6*csgn(I*c)+9*I*Pi^3*csgn(I*x^n)^2*csgn(I*c*x^n)^5*csgn(I*c)^2-3*I*Pi^3*csgn(I*x^n)^2*csgn(I*c*x^n)^4*csgn(I*c)^3+24*I*ln(c)*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)-12*I*ln(c)^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c)+9*I*Pi^3*csgn(I*x^n)*csgn(I*c*x^n)^7*csgn(I*c)-9*I*Pi^3*csgn(I*x^n)*csgn(I*c*x^n)^6*csgn(I*c)^2+3*I*Pi^3*csgn(I*x^n)*csgn(I*c*x^n)^5*csgn(I*c)^3+12*I*ln(c)^2*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-24*I*ln(c)*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-24*I*ln(c)*Pi*csgn(I*c*x^n)^2*csgn(I*c)+12*I*ln(c)^2*Pi*csgn(I*c*x^n)^2*csgn(I*c)+3*I*Pi^3*csgn(I*x^n)^3*csgn(I*c*x^n)^5*csgn(I*c)+I*Pi^3*csgn(I*x^n)^3*csgn(I*c*x^n)^3*csgn(I*c)^3+12*ln(c)*Pi^2*csgn(I*x^n)^2*csgn(I*c*x^n)^3*csgn(I*c)-6*ln(c)*Pi^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2*csgn(I*c)^2-24*ln(c)*Pi^2*csgn(I*x^n)*csgn(I*c*x^n)^4*csgn(I*c)+12*ln(c)*Pi^2*csgn(I*x^n)*csgn(I*c*x^n)^3*csgn(I*c)^2-24*I*Pi*csgn(I*x^n)*csgn(I*c*x^n)*csgn(I*c))/n*x*exp(1/2*(n-1)*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x)))","C"
157,1,750,53,0.178000," ","int((d*x)^(n-1)*ln(c*x^n)^2,x)","\frac{x \,{\mathrm e}^{\frac{\left(n -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)+i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}-i \pi  \mathrm{csgn}\left(i d x \right)^{3}+2 \ln \left(d \right)+2 \ln \left(x \right)\right)}{2}} \ln \left(x^{n}\right)^{2}}{n}+\frac{\left(-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 \ln \left(c \right)-2\right) x \,{\mathrm e}^{\frac{\left(n -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)+i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}-i \pi  \mathrm{csgn}\left(i d x \right)^{3}+2 \ln \left(d \right)+2 \ln \left(x \right)\right)}{2}} \ln \left(x^{n}\right)}{n}+\frac{\left(-\pi^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+2 \pi^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-\pi^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{3}-4 \pi^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-\pi^{2} \mathrm{csgn}\left(i x^{n}\right)^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{4}+2 \pi^{2} \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{5}-\pi^{2} \mathrm{csgn}\left(i c \,x^{n}\right)^{6}-4 i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right) \ln \left(c \right)+4 i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)+4 i \pi  \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \ln \left(c \right)-4 i \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3} \ln \left(c \right)+4 i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)-4 i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-4 i \pi  \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+4 i \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+4 \ln \left(c \right)^{2}-8 \ln \left(c \right)+8\right) x \,{\mathrm e}^{\frac{\left(n -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)+i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}-i \pi  \mathrm{csgn}\left(i d x \right)^{3}+2 \ln \left(d \right)+2 \ln \left(x \right)\right)}{2}}}{4 n}"," ",0,"1/n*x*exp(1/2*(n-1)*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x)))*ln(x^n)^2+(-I*Pi*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*csgn(I*c*x^n)^3+2*ln(c)-2)/n*x*exp(1/2*(n-1)*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x)))*ln(x^n)+1/4*(-Pi^2*csgn(I*c)^2*csgn(I*x^n)^2*csgn(I*c*x^n)^2+2*Pi^2*csgn(I*c)^2*csgn(I*x^n)*csgn(I*c*x^n)^3-Pi^2*csgn(I*c)^2*csgn(I*c*x^n)^4+2*Pi^2*csgn(I*c)*csgn(I*x^n)^2*csgn(I*c*x^n)^3-4*Pi^2*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)^4+2*Pi^2*csgn(I*c)*csgn(I*c*x^n)^5-Pi^2*csgn(I*x^n)^2*csgn(I*c*x^n)^4+2*Pi^2*csgn(I*x^n)*csgn(I*c*x^n)^5-Pi^2*csgn(I*c*x^n)^6-4*I*Pi*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)*ln(c)+4*I*Pi*csgn(I*c)*csgn(I*c*x^n)^2*ln(c)+4*I*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2*ln(c)-4*I*Pi*csgn(I*c*x^n)^3*ln(c)+4*I*Pi*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)-4*I*Pi*csgn(I*c)*csgn(I*c*x^n)^2-4*I*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2+4*I*Pi*csgn(I*c*x^n)^3+4*ln(c)^2-8*ln(c)+8)/n*x*exp(1/2*(n-1)*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x)))","C"
158,1,263,32,0.141000," ","int((d*x)^(n-1)*ln(c*x^n),x)","\frac{x \,{\mathrm e}^{\frac{\left(n -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)+i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}-i \pi  \mathrm{csgn}\left(i d x \right)^{3}+2 \ln \left(d \right)+2 \ln \left(x \right)\right)}{2}} \ln \left(x^{n}\right)}{n}+\frac{\left(-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i c \,x^{n}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}+2 \ln \left(c \right)-2\right) x \,{\mathrm e}^{\frac{\left(n -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)+i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}-i \pi  \mathrm{csgn}\left(i d x \right)^{3}+2 \ln \left(d \right)+2 \ln \left(x \right)\right)}{2}}}{2 n}"," ",0,"1/n*x*exp(1/2*(n-1)*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x)))*ln(x^n)+1/2*(-I*Pi*csgn(I*c)*csgn(I*x^n)*csgn(I*c*x^n)+I*Pi*csgn(I*c)*csgn(I*c*x^n)^2+I*Pi*csgn(I*x^n)*csgn(I*c*x^n)^2-I*Pi*csgn(I*c*x^n)^3+2*ln(c)-2)/n*x*exp(1/2*(n-1)*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x)))","C"
159,0,0,27,0.486000," ","int((d*x)^(n-1)/ln(c*x^n),x)","\int \frac{\left(d x \right)^{n -1}}{\ln \left(c \,x^{n}\right)}\, dx"," ",0,"int((d*x)^(n-1)/ln(c*x^n),x)","F"
160,0,0,49,1.836000," ","int((d*x)^(n-1)/ln(c*x^n)^2,x)","\int \frac{\left(d x \right)^{n -1}}{\ln \left(c \,x^{n}\right)^{2}}\, dx"," ",0,"int((d*x)^(n-1)/ln(c*x^n)^2,x)","F"
161,0,0,71,1.751000," ","int((d*x)^(n-1)/ln(c*x^n)^3,x)","\int \frac{\left(d x \right)^{n -1}}{\ln \left(c \,x^{n}\right)^{3}}\, dx"," ",0,"int((d*x)^(n-1)/ln(c*x^n)^3,x)","F"
162,0,0,92,0.291000," ","int(x^m*ln(a*x^n)^(3/2),x)","\int x^{m} \ln \left(a \,x^{n}\right)^{\frac{3}{2}}\, dx"," ",0,"int(x^m*ln(a*x^n)^(3/2),x)","F"
163,0,0,71,0.316000," ","int(x^m*ln(a*x^n)^(1/2),x)","\int x^{m} \sqrt{\ln \left(a \,x^{n}\right)}\, dx"," ",0,"int(x^m*ln(a*x^n)^(1/2),x)","F"
164,0,0,50,0.297000," ","int(x^m/ln(a*x^n)^(1/2),x)","\int \frac{x^{m}}{\sqrt{\ln \left(a \,x^{n}\right)}}\, dx"," ",0,"int(x^m/ln(a*x^n)^(1/2),x)","F"
165,0,0,70,0.291000," ","int(x^m/ln(a*x^n)^(3/2),x)","\int \frac{x^{m}}{\ln \left(a \,x^{n}\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^m/ln(a*x^n)^(3/2),x)","F"
166,0,0,91,0.285000," ","int(x^m/ln(a*x^n)^(5/2),x)","\int \frac{x^{m}}{\ln \left(a \,x^{n}\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^m/ln(a*x^n)^(5/2),x)","F"
167,0,0,107,1.685000," ","int((d*x)^m*(b*ln(c*x^n)+a)^p,x)","\int \left(d x \right)^{m} \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int((d*x)^m*(b*ln(c*x^n)+a)^p,x)","F"
168,0,0,94,1.367000," ","int(x^2*(b*ln(c*x^n)+a)^p,x)","\int x^{2} \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int(x^2*(b*ln(c*x^n)+a)^p,x)","F"
169,0,0,94,1.266000," ","int(x*(b*ln(c*x^n)+a)^p,x)","\int x \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int(x*(b*ln(c*x^n)+a)^p,x)","F"
170,0,0,84,0.933000," ","int((b*ln(c*x^n)+a)^p,x)","\int \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int((b*ln(c*x^n)+a)^p,x)","F"
171,1,27,26,0.030000," ","int((b*ln(c*x^n)+a)^p/x,x)","\frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{p +1}}{\left(p +1\right) b n}"," ",0,"(b*ln(c*x^n)+a)^(p+1)/b/n/(p+1)","A"
172,0,0,77,1.115000," ","int((b*ln(c*x^n)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^p/x^2,x)","F"
173,0,0,88,0.714000," ","int((b*ln(c*x^n)+a)^p/x^3,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{p}}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^p/x^3,x)","F"
174,0,0,88,0.733000," ","int((b*ln(c*x^n)+a)^p/x^4,x)","\int \frac{\left(b \ln \left(c \,x^{n}\right)+a \right)^{p}}{x^{4}}\, dx"," ",0,"int((b*ln(c*x^n)+a)^p/x^4,x)","F"
175,0,0,86,0.625000," ","int((d*x)^m*(a+b*ln(c*x))^p,x)","\int \left(d x \right)^{m} \left(b \ln \left(c x \right)+a \right)^{p}\, dx"," ",0,"int((d*x)^m*(a+b*ln(c*x))^p,x)","F"
176,0,0,66,0.057000," ","int(x^2*(b*ln(c*x)+a)^p,x)","\int x^{2} \left(b \ln \left(c x \right)+a \right)^{p}\, dx"," ",0,"int(x^2*(b*ln(c*x)+a)^p,x)","F"
177,0,0,66,0.051000," ","int(x*(b*ln(c*x)+a)^p,x)","\int x \left(b \ln \left(c x \right)+a \right)^{p}\, dx"," ",0,"int(x*(b*ln(c*x)+a)^p,x)","F"
178,0,0,60,0.048000," ","int((b*ln(c*x)+a)^p,x)","\int \left(b \ln \left(c x \right)+a \right)^{p}\, dx"," ",0,"int((b*ln(c*x)+a)^p,x)","F"
179,1,22,21,0.027000," ","int((b*ln(c*x)+a)^p/x,x)","\frac{\left(b \ln \left(c x \right)+a \right)^{p +1}}{\left(p +1\right) b}"," ",0,"(b*ln(c*x)+a)^(p+1)/b/(p+1)","A"
180,0,0,51,0.057000," ","int((b*ln(c*x)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(c x \right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln(c*x)+a)^p/x^2,x)","F"
181,0,0,62,0.043000," ","int((b*ln(c*x)+a)^p/x^3,x)","\int \frac{\left(b \ln \left(c x \right)+a \right)^{p}}{x^{3}}\, dx"," ",0,"int((b*ln(c*x)+a)^p/x^3,x)","F"
182,0,0,62,0.043000," ","int((b*ln(c*x)+a)^p/x^4,x)","\int \frac{\left(b \ln \left(c x \right)+a \right)^{p}}{x^{4}}\, dx"," ",0,"int((b*ln(c*x)+a)^p/x^4,x)","F"
183,0,0,102,0.071000," ","int((d*x)^m*(a+b*ln(c*x^(1/2)))^p,x)","\int \left(d x \right)^{m} \left(b \ln \left(c \sqrt{x}\right)+a \right)^{p}\, dx"," ",0,"int((d*x)^m*(a+b*ln(c*x^(1/2)))^p,x)","F"
184,0,0,77,0.039000," ","int(x^2*(b*ln(c*x^(1/2))+a)^p,x)","\int x^{2} \left(b \ln \left(c \sqrt{x}\right)+a \right)^{p}\, dx"," ",0,"int(x^2*(b*ln(c*x^(1/2))+a)^p,x)","F"
185,0,0,72,0.039000," ","int(x*(b*ln(c*x^(1/2))+a)^p,x)","\int x \left(b \ln \left(c \sqrt{x}\right)+a \right)^{p}\, dx"," ",0,"int(x*(b*ln(c*x^(1/2))+a)^p,x)","F"
186,0,0,70,0.037000," ","int((b*ln(c*x^(1/2))+a)^p,x)","\int \left(b \ln \left(c \sqrt{x}\right)+a \right)^{p}\, dx"," ",0,"int((b*ln(c*x^(1/2))+a)^p,x)","F"
187,1,25,24,0.028000," ","int((b*ln(c*x^(1/2))+a)^p/x,x)","\frac{2 \left(b \ln \left(c \sqrt{x}\right)+a \right)^{p +1}}{\left(p +1\right) b}"," ",0,"2*(b*ln(c*x^(1/2))+a)^(p+1)/b/(p+1)","A"
188,0,0,66,0.037000," ","int((b*ln(c*x^(1/2))+a)^p/x^2,x)","\int \frac{\left(b \ln \left(c \sqrt{x}\right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln(c*x^(1/2))+a)^p/x^2,x)","F"
189,0,0,68,0.041000," ","int((b*ln(c*x^(1/2))+a)^p/x^3,x)","\int \frac{\left(b \ln \left(c \sqrt{x}\right)+a \right)^{p}}{x^{3}}\, dx"," ",0,"int((b*ln(c*x^(1/2))+a)^p/x^3,x)","F"
190,0,0,73,0.040000," ","int((b*ln(c*x^(1/2))+a)^p/x^4,x)","\int \frac{\left(b \ln \left(c \sqrt{x}\right)+a \right)^{p}}{x^{4}}\, dx"," ",0,"int((b*ln(c*x^(1/2))+a)^p/x^4,x)","F"
191,0,0,69,4.261000," ","int(x^(n-1)*(b*ln(c*x^n)+a)^p,x)","\int x^{n -1} \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int(x^(n-1)*(b*ln(c*x^n)+a)^p,x)","F"
192,0,0,115,2.127000," ","int((d*x^q)^m*(b*ln(c*x^n)+a)^p,x)","\int \left(d \,x^{q}\right)^{m} \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int((d*x^q)^m*(b*ln(c*x^n)+a)^p,x)","F"
193,0,0,137,24.092000," ","int((d1*x^q1)^m1*(d2*x^q2)^m2*(b*ln(c*x^n)+a)^p,x)","\int \left(\mathit{d1} \,x^{\mathit{q1}}\right)^{\mathit{m1}} \left(\mathit{d2} \,x^{\mathit{q2}}\right)^{\mathit{m2}} \left(b \ln \left(c \,x^{n}\right)+a \right)^{p}\, dx"," ",0,"int((d1*x^q1)^m1*(d2*x^q2)^m2*(b*ln(c*x^n)+a)^p,x)","F"