1,0,0,57,0.036000," ","int(x^2*sin(a+b*ln(c*x^n)),x)","\int x^{2} \sin \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(x^2*sin(a+b*ln(c*x^n)),x)","F"
2,0,0,57,0.026000," ","int(x*sin(a+b*ln(c*x^n)),x)","\int x \sin \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(x*sin(a+b*ln(c*x^n)),x)","F"
3,0,0,52,0.023000," ","int(sin(a+b*ln(c*x^n)),x)","\int \sin \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sin(a+b*ln(c*x^n)),x)","F"
4,1,20,19,0.006000," ","int(sin(a+b*ln(c*x^n))/x,x)","-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{b n}"," ",0,"-cos(a+b*ln(c*x^n))/b/n","A"
5,0,0,57,0.022000," ","int(sin(a+b*ln(c*x^n))/x^2,x)","\int \frac{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))/x^2,x)","F"
6,0,0,57,0.024000," ","int(sin(a+b*ln(c*x^n))/x^3,x)","\int \frac{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{3}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))/x^3,x)","F"
7,0,0,95,0.078000," ","int(x^2*sin(a+b*ln(c*x^n))^2,x)","\int x^{2} \left(\sin^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^2*sin(a+b*ln(c*x^n))^2,x)","F"
8,0,0,92,0.062000," ","int(x*sin(a+b*ln(c*x^n))^2,x)","\int x \left(\sin^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*sin(a+b*ln(c*x^n))^2,x)","F"
9,0,0,88,0.070000," ","int(sin(a+b*ln(c*x^n))^2,x)","\int \sin^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^2,x)","F"
10,1,52,35,0.023000," ","int(sin(a+b*ln(c*x^n))^2/x,x)","-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right) \sin \left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}+\frac{\ln \left(c \,x^{n}\right)}{2 n}+\frac{a}{2 b n}"," ",0,"-1/2*cos(a+b*ln(c*x^n))*sin(a+b*ln(c*x^n))/b/n+1/2/n*ln(c*x^n)+1/2/b/n*a","A"
11,0,0,95,0.068000," ","int(sin(a+b*ln(c*x^n))^2/x^2,x)","\int \frac{\sin^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^2/x^2,x)","F"
12,0,0,92,0.062000," ","int(sin(a+b*ln(c*x^n))^2/x^3,x)","\int \frac{\sin^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{3}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^2/x^3,x)","F"
13,0,0,154,0.071000," ","int(x^2*sin(a+b*ln(c*x^n))^3,x)","\int x^{2} \left(\sin^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^2*sin(a+b*ln(c*x^n))^3,x)","F"
14,0,0,158,0.066000," ","int(x*sin(a+b*ln(c*x^n))^3,x)","\int x \left(\sin^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*sin(a+b*ln(c*x^n))^3,x)","F"
15,0,0,149,0.071000," ","int(sin(a+b*ln(c*x^n))^3,x)","\int \sin^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^3,x)","F"
16,1,35,41,0.026000," ","int(sin(a+b*ln(c*x^n))^3/x,x)","-\frac{\left(2+\sin^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right) \cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{3 n b}"," ",0,"-1/3/n/b*(2+sin(a+b*ln(c*x^n))^2)*cos(a+b*ln(c*x^n))","A"
17,0,0,158,0.066000," ","int(sin(a+b*ln(c*x^n))^3/x^2,x)","\int \frac{\sin^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^3/x^2,x)","F"
18,0,0,158,0.066000," ","int(sin(a+b*ln(c*x^n))^3/x^3,x)","\int \frac{\sin^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{3}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^3/x^3,x)","F"
19,0,0,202,0.088000," ","int(x^2*sin(a+b*ln(c*x^n))^4,x)","\int x^{2} \left(\sin^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^2*sin(a+b*ln(c*x^n))^4,x)","F"
20,0,0,202,0.074000," ","int(x*sin(a+b*ln(c*x^n))^4,x)","\int x \left(\sin^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*sin(a+b*ln(c*x^n))^4,x)","F"
21,0,0,191,0.074000," ","int(sin(a+b*ln(c*x^n))^4,x)","\int \sin^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^4,x)","F"
22,1,84,67,0.027000," ","int(sin(a+b*ln(c*x^n))^4/x,x)","-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right) \left(\sin^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{4 b n}-\frac{3 \cos \left(a +b \ln \left(c \,x^{n}\right)\right) \sin \left(a +b \ln \left(c \,x^{n}\right)\right)}{8 b n}+\frac{3 \ln \left(c \,x^{n}\right)}{8 n}+\frac{3 a}{8 b n}"," ",0,"-1/4*cos(a+b*ln(c*x^n))*sin(a+b*ln(c*x^n))^3/b/n-3/8*cos(a+b*ln(c*x^n))*sin(a+b*ln(c*x^n))/b/n+3/8/n*ln(c*x^n)+3/8/b/n*a","A"
23,0,0,202,0.078000," ","int(sin(a+b*ln(c*x^n))^4/x^2,x)","\int \frac{\sin^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^4/x^2,x)","F"
24,0,0,202,0.078000," ","int(sin(a+b*ln(c*x^n))^4/x^3,x)","\int \frac{\sin^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{3}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^4/x^3,x)","F"
25,1,76,35,0.017000," ","int(sin(ln(b*x+a)),x)","\frac{x \tan \left(\frac{\ln \left(b x +a \right)}{2}\right)+\frac{a \tan \left(\frac{\ln \left(b x +a \right)}{2}\right)}{b}+\frac{a \left(\tan^{2}\left(\frac{\ln \left(b x +a \right)}{2}\right)\right)}{b}-\frac{x}{2}+\frac{x \left(\tan^{2}\left(\frac{\ln \left(b x +a \right)}{2}\right)\right)}{2}}{1+\tan^{2}\left(\frac{\ln \left(b x +a \right)}{2}\right)}"," ",0,"(x*tan(1/2*ln(b*x+a))+a/b*tan(1/2*ln(b*x+a))+a/b*tan(1/2*ln(b*x+a))^2-1/2*x+1/2*x*tan(1/2*ln(b*x+a))^2)/(1+tan(1/2*ln(b*x+a))^2)","B"
26,0,0,120,0.040000," ","int(x^m*sin(a+ln(c*x^n)*(-(1+m)^2/n^2)^(1/2)),x)","\int x^{m} \sin \left(a +\ln \left(c \,x^{n}\right) \sqrt{-\frac{\left(1+m \right)^{2}}{n^{2}}}\right)\, dx"," ",0,"int(x^m*sin(a+ln(c*x^n)*(-(1+m)^2/n^2)^(1/2)),x)","F"
27,0,0,77,0.029000," ","int(x^2*sin(a+3*ln(c*x^n)*(-1/n^2)^(1/2)),x)","\int x^{2} \sin \left(a +3 \ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}\right)\, dx"," ",0,"int(x^2*sin(a+3*ln(c*x^n)*(-1/n^2)^(1/2)),x)","F"
28,0,0,77,0.026000," ","int(x*sin(a+2*ln(c*x^n)*(-1/n^2)^(1/2)),x)","\int x \sin \left(a +2 \ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}\right)\, dx"," ",0,"int(x*sin(a+2*ln(c*x^n)*(-1/n^2)^(1/2)),x)","F"
29,0,0,69,0.025000," ","int(sin(a+ln(c*x^n)*(-1/n^2)^(1/2)),x)","\int \sin \left(a +\ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}\right)\, dx"," ",0,"int(sin(a+ln(c*x^n)*(-1/n^2)^(1/2)),x)","F"
30,1,6,5,0.001000," ","int(sin(a)/x,x)","\ln \left(x \right) \sin \left(a \right)"," ",0,"ln(x)*sin(a)","A"
31,0,0,73,0.023000," ","int(sin(a+ln(c*x^n)*(-1/n^2)^(1/2))/x^2,x)","\int \frac{\sin \left(a +\ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}\right)}{x^{2}}\, dx"," ",0,"int(sin(a+ln(c*x^n)*(-1/n^2)^(1/2))/x^2,x)","F"
32,0,0,77,0.023000," ","int(sin(a+2*ln(c*x^n)*(-1/n^2)^(1/2))/x^3,x)","\int \frac{\sin \left(a +2 \ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}\right)}{x^{3}}\, dx"," ",0,"int(sin(a+2*ln(c*x^n)*(-1/n^2)^(1/2))/x^3,x)","F"
33,0,0,108,0.102000," ","int(x^m*sin(a+1/2*ln(c*x^n)*(-(1+m)^2/n^2)^(1/2))^2,x)","\int x^{m} \left(\sin^{2}\left(a +\frac{\ln \left(c \,x^{n}\right) \sqrt{-\frac{\left(1+m \right)^{2}}{n^{2}}}}{2}\right)\right)\, dx"," ",0,"int(x^m*sin(a+1/2*ln(c*x^n)*(-(1+m)^2/n^2)^(1/2))^2,x)","F"
34,0,0,68,0.083000," ","int(x^2*sin(a+3/2*ln(c*x^n)*(-1/n^2)^(1/2))^2,x)","\int x^{2} \left(\sin^{2}\left(a +\frac{3 \ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}}{2}\right)\right)\, dx"," ",0,"int(x^2*sin(a+3/2*ln(c*x^n)*(-1/n^2)^(1/2))^2,x)","F"
35,0,0,68,0.080000," ","int(x*sin(a+ln(c*x^n)*(-1/n^2)^(1/2))^2,x)","\int x \left(\sin^{2}\left(a +\ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}\right)\right)\, dx"," ",0,"int(x*sin(a+ln(c*x^n)*(-1/n^2)^(1/2))^2,x)","F"
36,0,0,58,0.086000," ","int(sin(a+1/2*ln(c*x^n)*(-1/n^2)^(1/2))^2,x)","\int \sin^{2}\left(a +\frac{\ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}}{2}\right)\, dx"," ",0,"int(sin(a+1/2*ln(c*x^n)*(-1/n^2)^(1/2))^2,x)","F"
37,1,8,7,0.002000," ","int(sin(a)^2/x,x)","\ln \left(x \right) \left(\sin^{2}\left(a \right)\right)"," ",0,"ln(x)*sin(a)^2","A"
38,0,0,64,0.073000," ","int(sin(a+1/2*ln(c*x^n)*(-1/n^2)^(1/2))^2/x^2,x)","\int \frac{\sin^{2}\left(a +\frac{\ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}}{2}\right)}{x^{2}}\, dx"," ",0,"int(sin(a+1/2*ln(c*x^n)*(-1/n^2)^(1/2))^2/x^2,x)","F"
39,0,0,68,0.069000," ","int(sin(a+ln(c*x^n)*(-1/n^2)^(1/2))^2/x^3,x)","\int \frac{\sin^{2}\left(a +\ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}\right)}{x^{3}}\, dx"," ",0,"int(sin(a+ln(c*x^n)*(-1/n^2)^(1/2))^2/x^3,x)","F"
40,0,0,194,0.086000," ","int(x^m*sin(a+1/2*ln(c*x^n)*(-(1+m)^2/n^2)^(1/2))^3,x)","\int x^{m} \left(\sin^{3}\left(a +\frac{\ln \left(c \,x^{n}\right) \sqrt{-\frac{\left(1+m \right)^{2}}{n^{2}}}}{2}\right)\right)\, dx"," ",0,"int(x^m*sin(a+1/2*ln(c*x^n)*(-(1+m)^2/n^2)^(1/2))^3,x)","F"
41,0,0,149,0.074000," ","int(x^2*sin(a+ln(c*x^n)*(-1/n^2)^(1/2))^3,x)","\int x^{2} \left(\sin^{3}\left(a +\ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}\right)\right)\, dx"," ",0,"int(x^2*sin(a+ln(c*x^n)*(-1/n^2)^(1/2))^3,x)","F"
42,0,0,153,0.073000," ","int(x*sin(a+2/3*ln(c*x^n)*(-1/n^2)^(1/2))^3,x)","\int x \left(\sin^{3}\left(a +\frac{2 \ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}}{3}\right)\right)\, dx"," ",0,"int(x*sin(a+2/3*ln(c*x^n)*(-1/n^2)^(1/2))^3,x)","F"
43,0,0,141,0.083000," ","int(sin(a+1/3*ln(c*x^n)*(-1/n^2)^(1/2))^3,x)","\int \sin^{3}\left(a +\frac{\ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}}{3}\right)\, dx"," ",0,"int(sin(a+1/3*ln(c*x^n)*(-1/n^2)^(1/2))^3,x)","F"
44,1,8,7,0.001000," ","int(sin(a)^3/x,x)","\ln \left(x \right) \left(\sin^{3}\left(a \right)\right)"," ",0,"ln(x)*sin(a)^3","A"
45,0,0,149,0.075000," ","int(sin(a+1/3*ln(c*x^n)*(-1/n^2)^(1/2))^3/x^2,x)","\int \frac{\sin^{3}\left(a +\frac{\ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}}{3}\right)}{x^{2}}\, dx"," ",0,"int(sin(a+1/3*ln(c*x^n)*(-1/n^2)^(1/2))^3/x^2,x)","F"
46,0,0,153,0.072000," ","int(sin(a+2/3*ln(c*x^n)*(-1/n^2)^(1/2))^3/x^3,x)","\int \frac{\sin^{3}\left(a +\frac{2 \ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}}{3}\right)}{x^{3}}\, dx"," ",0,"int(sin(a+2/3*ln(c*x^n)*(-1/n^2)^(1/2))^3/x^3,x)","F"
47,0,0,92,0.056000," ","int(x^m*sin(a+1/2*ln(c*x^2)*(-(1+m)^2)^(1/2)),x)","\int x^{m} \sin \left(a +\frac{\ln \left(c \,x^{2}\right) \sqrt{-\left(1+m \right)^{2}}}{2}\right)\, dx"," ",0,"int(x^m*sin(a+1/2*ln(c*x^2)*(-(1+m)^2)^(1/2)),x)","F"
48,1,106,40,0.038000," ","int(sin(a+1/2*I*ln(c*x^2)),x)","\frac{\frac{i x}{2}-\frac{i x \left(\tan^{2}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{4}\right)\right)}{2}+\frac{x \ln \left(c \,x^{2}\right) \tan \left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{4}\right)}{2}-\frac{i x \ln \left(c \,x^{2}\right)}{4}+\frac{i x \ln \left(c \,x^{2}\right) \left(\tan^{2}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{4}\right)\right)}{4}}{1+\tan^{2}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{4}\right)}"," ",0,"(1/2*I*x-1/2*I*x*tan(1/2*a+1/4*I*ln(c*x^2))^2+1/2*x*ln(c*x^2)*tan(1/2*a+1/4*I*ln(c*x^2))-1/4*I*x*ln(c*x^2)+1/4*I*x*ln(c*x^2)*tan(1/2*a+1/4*I*ln(c*x^2))^2)/(1+tan(1/2*a+1/4*I*ln(c*x^2))^2)","B"
49,0,0,90,0.078000," ","int(x^m*sin(a+1/4*ln(c*x^2)*(-(1+m)^2)^(1/2))^2,x)","\int x^{m} \left(\sin^{2}\left(a +\frac{\ln \left(c \,x^{2}\right) \sqrt{-\left(1+m \right)^{2}}}{4}\right)\right)\, dx"," ",0,"int(x^m*sin(a+1/4*ln(c*x^2)*(-(1+m)^2)^(1/2))^2,x)","F"
50,1,173,41,0.094000," ","int(sin(a+1/4*I*ln(c*x^2))^2,x)","\frac{\frac{x}{4}+\frac{5 x \left(\tan^{2}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{8}\right)\right)}{2}+\frac{x \left(\tan^{4}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{8}\right)\right)}{4}-\frac{x \ln \left(c \,x^{2}\right)}{8}+\frac{3 x \ln \left(c \,x^{2}\right) \left(\tan^{2}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{8}\right)\right)}{4}-\frac{x \ln \left(c \,x^{2}\right) \left(\tan^{4}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{8}\right)\right)}{8}-\frac{i x \ln \left(c \,x^{2}\right) \tan \left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{8}\right)}{2}+\frac{i x \ln \left(c \,x^{2}\right) \left(\tan^{3}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{8}\right)\right)}{2}}{\left(1+\tan^{2}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{8}\right)\right)^{2}}"," ",0,"(1/4*x+5/2*x*tan(1/2*a+1/8*I*ln(c*x^2))^2+1/4*x*tan(1/2*a+1/8*I*ln(c*x^2))^4-1/8*x*ln(c*x^2)+3/4*x*ln(c*x^2)*tan(1/2*a+1/8*I*ln(c*x^2))^2-1/8*x*ln(c*x^2)*tan(1/2*a+1/8*I*ln(c*x^2))^4-1/2*I*x*ln(c*x^2)*tan(1/2*a+1/8*I*ln(c*x^2))+1/2*I*x*ln(c*x^2)*tan(1/2*a+1/8*I*ln(c*x^2))^3)/(1+tan(1/2*a+1/8*I*ln(c*x^2))^2)^2","B"
51,0,0,180,0.068000," ","int(x^m*sin(a+1/6*ln(c*x^2)*(-(1+m)^2)^(1/2))^3,x)","\int x^{m} \left(\sin^{3}\left(a +\frac{\ln \left(c \,x^{2}\right) \sqrt{-\left(1+m \right)^{2}}}{6}\right)\right)\, dx"," ",0,"int(x^m*sin(a+1/6*ln(c*x^2)*(-(1+m)^2)^(1/2))^3,x)","F"
52,1,284,74,0.106000," ","int(sin(a+1/6*I*ln(c*x^2))^3,x)","\frac{-\frac{23 i x}{40}+\frac{27 x \tan \left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{12}\right)}{10}+\frac{27 x \left(\tan^{5}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{12}\right)\right)}{10}+\frac{33 i x \left(\tan^{2}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{12}\right)\right)}{8}+\frac{23 i x \left(\tan^{6}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{12}\right)\right)}{40}-\frac{33 i x \left(\tan^{4}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{12}\right)\right)}{8}-\frac{3 x \ln \left(c \,x^{2}\right) \tan \left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{12}\right)}{8}+\frac{5 x \ln \left(c \,x^{2}\right) \left(\tan^{3}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{12}\right)\right)}{4}-\frac{3 x \ln \left(c \,x^{2}\right) \left(\tan^{5}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{12}\right)\right)}{8}+\frac{i x \ln \left(c \,x^{2}\right)}{16}-\frac{15 i x \ln \left(c \,x^{2}\right) \left(\tan^{2}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{12}\right)\right)}{16}+\frac{15 i x \ln \left(c \,x^{2}\right) \left(\tan^{4}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{12}\right)\right)}{16}-\frac{i x \ln \left(c \,x^{2}\right) \left(\tan^{6}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{12}\right)\right)}{16}}{\left(1+\tan^{2}\left(\frac{a}{2}+\frac{i \ln \left(c \,x^{2}\right)}{12}\right)\right)^{3}}"," ",0,"(-23/40*I*x+27/10*x*tan(1/2*a+1/12*I*ln(c*x^2))+27/10*x*tan(1/2*a+1/12*I*ln(c*x^2))^5+33/8*I*x*tan(1/2*a+1/12*I*ln(c*x^2))^2+23/40*I*x*tan(1/2*a+1/12*I*ln(c*x^2))^6-33/8*I*x*tan(1/2*a+1/12*I*ln(c*x^2))^4-3/8*x*ln(c*x^2)*tan(1/2*a+1/12*I*ln(c*x^2))+5/4*x*ln(c*x^2)*tan(1/2*a+1/12*I*ln(c*x^2))^3-3/8*x*ln(c*x^2)*tan(1/2*a+1/12*I*ln(c*x^2))^5+1/16*I*x*ln(c*x^2)-15/16*I*x*ln(c*x^2)*tan(1/2*a+1/12*I*ln(c*x^2))^2+15/16*I*x*ln(c*x^2)*tan(1/2*a+1/12*I*ln(c*x^2))^4-1/16*I*x*ln(c*x^2)*tan(1/2*a+1/12*I*ln(c*x^2))^6)/(1+tan(1/2*a+1/12*I*ln(c*x^2))^2)^3","B"
53,0,0,90,0.247000," ","int(x*sin(a+b*ln(c*x^n))^(1/2),x)","\int x \left(\sqrt{\sin}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*sin(a+b*ln(c*x^n))^(1/2),x)","F"
54,0,0,92,0.048000," ","int(sin(a+b*ln(c*x^n))^(1/2),x)","\int \sqrt{\sin}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^(1/2),x)","F"
55,1,129,69,0.072000," ","int(sin(a+b*ln(c*x^n))^(1/2)/x,x)","-\frac{\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \left(2 \EllipticE \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)-\EllipticF \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)\right)}{n \cos \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"-1/n*(sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*(2*EllipticE((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2))-EllipticF((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2)))/cos(a+b*ln(c*x^n))/sin(a+b*ln(c*x^n))^(1/2)/b","A"
56,0,0,90,0.050000," ","int(sin(a+b*ln(c*x^n))^(1/2)/x^2,x)","\int \frac{\sqrt{\sin}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^(1/2)/x^2,x)","F"
57,0,0,90,0.049000," ","int(sin(a+b*ln(c*x^n))^(1/2)/x^3,x)","\int \frac{\sqrt{\sin}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{3}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^(1/2)/x^3,x)","F"
58,0,0,90,0.051000," ","int(x*sin(a+b*ln(c*x^n))^(3/2),x)","\int x \left(\sin^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*sin(a+b*ln(c*x^n))^(3/2),x)","F"
59,0,0,88,0.051000," ","int(sin(a+b*ln(c*x^n))^(3/2),x)","\int \sin^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^(3/2),x)","F"
60,1,131,102,0.062000," ","int(sin(a+b*ln(c*x^n))^(3/2)/x,x)","\frac{\frac{\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)}{3}-\frac{2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right) \left(\cos^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3}}{n \cos \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(1/3*(sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*EllipticF((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2))-2/3*sin(a+b*ln(c*x^n))*cos(a+b*ln(c*x^n))^2)/cos(a+b*ln(c*x^n))/sin(a+b*ln(c*x^n))^(1/2)/b","A"
61,0,0,90,0.050000," ","int(sin(a+b*ln(c*x^n))^(3/2)/x^2,x)","\int \frac{\sin^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^(3/2)/x^2,x)","F"
62,0,0,90,0.049000," ","int(sin(a+b*ln(c*x^n))^(3/2)/x^3,x)","\int \frac{\sin^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{3}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^(3/2)/x^3,x)","F"
63,0,0,88,0.053000," ","int(1/sin(a+b*ln(c*x^n))^(1/2),x)","\int \frac{1}{\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}}\, dx"," ",0,"int(1/sin(a+b*ln(c*x^n))^(1/2),x)","F"
64,1,102,69,0.049000," ","int(1/x/sin(a+b*ln(c*x^n))^(1/2),x)","\frac{\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)}{n \cos \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*EllipticF((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2))/cos(a+b*ln(c*x^n))/sin(a+b*ln(c*x^n))^(1/2)/b","A"
65,0,0,88,0.053000," ","int(1/sin(a+b*ln(c*x^n))^(3/2),x)","\int \frac{1}{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/sin(a+b*ln(c*x^n))^(3/2),x)","F"
66,1,190,102,0.065000," ","int(1/x/sin(a+b*ln(c*x^n))^(3/2),x)","\frac{2 \sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticE \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)-\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)-2 \left(\cos^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{n \cos \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(2*(sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*EllipticE((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2))-(sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*EllipticF((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2))-2*cos(a+b*ln(c*x^n))^2)/cos(a+b*ln(c*x^n))/sin(a+b*ln(c*x^n))^(1/2)/b","A"
67,0,0,88,0.066000," ","int(1/sin(a+b*ln(c*x^n))^(5/2),x)","\int \frac{1}{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/sin(a+b*ln(c*x^n))^(5/2),x)","F"
68,1,131,102,0.082000," ","int(1/x/sin(a+b*ln(c*x^n))^(5/2),x)","\frac{\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right) \sin \left(a +b \ln \left(c \,x^{n}\right)\right)-2 \left(\cos^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3 n \sin \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}} \cos \left(a +b \ln \left(c \,x^{n}\right)\right) b}"," ",0,"1/3/n/sin(a+b*ln(c*x^n))^(3/2)*((sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*EllipticF((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2))*sin(a+b*ln(c*x^n))-2*cos(a+b*ln(c*x^n))^2)/cos(a+b*ln(c*x^n))/b","A"
69,0,0,42,0.293000," ","int(1/sin(a-2*I*ln(c*x))^(3/2),x)","\int \frac{1}{\sin \left(a -2 i \ln \left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/sin(a-2*I*ln(c*x))^(3/2),x)","F"
70,0,0,337,0.155000," ","int((e*x)^m*sin(d*(a+b*ln(c*x^n)))^4,x)","\int \left(e x \right)^{m} \left(\sin^{4}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*sin(d*(a+b*ln(c*x^n)))^4,x)","F"
71,0,0,256,0.108000," ","int((e*x)^m*sin(d*(a+b*ln(c*x^n)))^3,x)","\int \left(e x \right)^{m} \left(\sin^{3}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*sin(d*(a+b*ln(c*x^n)))^3,x)","F"
72,0,0,154,0.102000," ","int((e*x)^m*sin(d*(a+b*ln(c*x^n)))^2,x)","\int \left(e x \right)^{m} \left(\sin^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*sin(d*(a+b*ln(c*x^n)))^2,x)","F"
73,0,0,92,0.039000," ","int((e*x)^m*sin(d*(a+b*ln(c*x^n))),x)","\int \left(e x \right)^{m} \sin \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int((e*x)^m*sin(d*(a+b*ln(c*x^n))),x)","F"
74,0,0,130,0.348000," ","int((e*x)^m*sin(d*(a+b*ln(c*x^n)))^(3/2),x)","\int \left(e x \right)^{m} \left(\sin^{\frac{3}{2}}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*sin(d*(a+b*ln(c*x^n)))^(3/2),x)","F"
75,0,0,131,0.096000," ","int((e*x)^m*sin(d*(a+b*ln(c*x^n)))^(1/2),x)","\int \left(e x \right)^{m} \left(\sqrt{\sin}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*sin(d*(a+b*ln(c*x^n)))^(1/2),x)","F"
76,0,0,130,0.101000," ","int((e*x)^m/sin(d*(a+b*ln(c*x^n)))^(1/2),x)","\int \frac{\left(e x \right)^{m}}{\sqrt{\sin \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}}\, dx"," ",0,"int((e*x)^m/sin(d*(a+b*ln(c*x^n)))^(1/2),x)","F"
77,0,0,131,0.097000," ","int((e*x)^m/sin(d*(a+b*ln(c*x^n)))^(3/2),x)","\int \frac{\left(e x \right)^{m}}{\sin \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int((e*x)^m/sin(d*(a+b*ln(c*x^n)))^(3/2),x)","F"
78,0,0,131,0.097000," ","int((e*x)^m/sin(d*(a+b*ln(c*x^n)))^(5/2),x)","\int \frac{\left(e x \right)^{m}}{\sin \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int((e*x)^m/sin(d*(a+b*ln(c*x^n)))^(5/2),x)","F"
79,0,0,131,0.177000," ","int((e*x)^m*sin(d*(a+b*ln(c*x^n)))^p,x)","\int \left(e x \right)^{m} \left(\sin^{p}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*sin(d*(a+b*ln(c*x^n)))^p,x)","F"
80,0,0,102,0.066000," ","int(x^2*sin(a+b*ln(c*x^n))^p,x)","\int x^{2} \left(\sin^{p}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^2*sin(a+b*ln(c*x^n))^p,x)","F"
81,0,0,99,0.043000," ","int(x*sin(a+b*ln(c*x^n))^p,x)","\int x \left(\sin^{p}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*sin(a+b*ln(c*x^n))^p,x)","F"
82,0,0,100,0.045000," ","int(sin(a+b*ln(c*x^n))^p,x)","\int \sin^{p}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^p,x)","F"
83,0,0,80,0.062000," ","int(sin(a+b*ln(c*x^n))^p/x,x)","\int \frac{\sin^{p}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^p/x,x)","F"
84,0,0,100,0.046000," ","int(sin(a+b*ln(c*x^n))^p/x^2,x)","\int \frac{\sin^{p}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^p/x^2,x)","F"
85,0,0,100,0.045000," ","int(sin(a+b*ln(c*x^n))^p/x^3,x)","\int \frac{\sin^{p}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{3}}\, dx"," ",0,"int(sin(a+b*ln(c*x^n))^p/x^3,x)","F"
86,0,0,56,0.036000," ","int(x^2*cos(a+b*ln(c*x^n)),x)","\int x^{2} \cos \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(x^2*cos(a+b*ln(c*x^n)),x)","F"
87,0,0,56,0.022000," ","int(x*cos(a+b*ln(c*x^n)),x)","\int x \cos \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(x*cos(a+b*ln(c*x^n)),x)","F"
88,0,0,51,0.039000," ","int(cos(a+b*ln(c*x^n)),x)","\int \cos \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(cos(a+b*ln(c*x^n)),x)","F"
89,1,19,18,0.014000," ","int(cos(a+b*ln(c*x^n))/x,x)","\frac{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}{b n}"," ",0,"sin(a+b*ln(c*x^n))/b/n","A"
90,0,0,56,0.023000," ","int(cos(a+b*ln(c*x^n))/x^2,x)","\int \frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(cos(a+b*ln(c*x^n))/x^2,x)","F"
91,0,0,95,0.068000," ","int(x^2*cos(a+b*ln(c*x^n))^2,x)","\int x^{2} \left(\cos^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^2*cos(a+b*ln(c*x^n))^2,x)","F"
92,0,0,92,0.054000," ","int(x*cos(a+b*ln(c*x^n))^2,x)","\int x \left(\cos^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*cos(a+b*ln(c*x^n))^2,x)","F"
93,0,0,88,0.057000," ","int(cos(a+b*ln(c*x^n))^2,x)","\int \cos^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(cos(a+b*ln(c*x^n))^2,x)","F"
94,1,52,35,0.028000," ","int(cos(a+b*ln(c*x^n))^2/x,x)","\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right) \sin \left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}+\frac{\ln \left(c \,x^{n}\right)}{2 n}+\frac{a}{2 b n}"," ",0,"1/2*cos(a+b*ln(c*x^n))*sin(a+b*ln(c*x^n))/b/n+1/2/n*ln(c*x^n)+1/2/b/n*a","A"
95,0,0,95,0.056000," ","int(cos(a+b*ln(c*x^n))^2/x^2,x)","\int \frac{\cos^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(cos(a+b*ln(c*x^n))^2/x^2,x)","F"
96,0,0,154,0.083000," ","int(x^2*cos(a+b*ln(c*x^n))^3,x)","\int x^{2} \left(\cos^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^2*cos(a+b*ln(c*x^n))^3,x)","F"
97,0,0,158,0.070000," ","int(x*cos(a+b*ln(c*x^n))^3,x)","\int x \left(\cos^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*cos(a+b*ln(c*x^n))^3,x)","F"
98,0,0,149,0.073000," ","int(cos(a+b*ln(c*x^n))^3,x)","\int \cos^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(cos(a+b*ln(c*x^n))^3,x)","F"
99,1,35,40,0.030000," ","int(cos(a+b*ln(c*x^n))^3/x,x)","\frac{\left(2+\cos^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right) \sin \left(a +b \ln \left(c \,x^{n}\right)\right)}{3 n b}"," ",0,"1/3/n/b*(2+cos(a+b*ln(c*x^n))^2)*sin(a+b*ln(c*x^n))","A"
100,0,0,158,0.072000," ","int(cos(a+b*ln(c*x^n))^3/x^2,x)","\int \frac{\cos^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(cos(a+b*ln(c*x^n))^3/x^2,x)","F"
101,0,0,191,0.078000," ","int(cos(a+b*ln(c*x^n))^4,x)","\int \cos^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(cos(a+b*ln(c*x^n))^4,x)","F"
102,1,84,67,0.030000," ","int(cos(a+b*ln(c*x^n))^4/x,x)","\frac{\left(\cos^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\right) \sin \left(a +b \ln \left(c \,x^{n}\right)\right)}{4 b n}+\frac{3 \cos \left(a +b \ln \left(c \,x^{n}\right)\right) \sin \left(a +b \ln \left(c \,x^{n}\right)\right)}{8 b n}+\frac{3 \ln \left(c \,x^{n}\right)}{8 n}+\frac{3 a}{8 b n}"," ",0,"1/4*cos(a+b*ln(c*x^n))^3*sin(a+b*ln(c*x^n))/b/n+3/8*cos(a+b*ln(c*x^n))*sin(a+b*ln(c*x^n))/b/n+3/8/n*ln(c*x^n)+3/8/b/n*a","A"
103,1,34,25,0.050000," ","int(cos(ln(6+3*x)),x)","\left(\frac{1}{4}-\frac{i}{4}\right) \left(2+x \right) \left(6+3 x \right)^{i}+\left(\frac{1}{4}+\frac{i}{4}\right) \left(2+x \right) \left(6+3 x \right)^{-i}"," ",0,"(1/4-1/4*I)*(2+x)*(6+3*x)^I+(1/4+1/4*I)*(2+x)/((6+3*x)^I)","C"
104,0,0,92,0.051000," ","int(x^m*cos(a+ln(c*x^n)*(-(1+m)^2/n^2)^(1/2)),x)","\int x^{m} \cos \left(a +\ln \left(c \,x^{n}\right) \sqrt{-\frac{\left(1+m \right)^{2}}{n^{2}}}\right)\, dx"," ",0,"int(x^m*cos(a+ln(c*x^n)*(-(1+m)^2/n^2)^(1/2)),x)","F"
105,0,0,53,0.136000," ","int(cos(a+ln(c*x^n)*(-1/n^2)^(1/2)),x)","\int \cos \left(a +\ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}\right)\, dx"," ",0,"int(cos(a+ln(c*x^n)*(-1/n^2)^(1/2)),x)","F"
106,0,0,108,0.087000," ","int(x^m*cos(a+1/2*ln(c*x^n)*(-(1+m)^2/n^2)^(1/2))^2,x)","\int x^{m} \left(\cos^{2}\left(a +\frac{\ln \left(c \,x^{n}\right) \sqrt{-\frac{\left(1+m \right)^{2}}{n^{2}}}}{2}\right)\right)\, dx"," ",0,"int(x^m*cos(a+1/2*ln(c*x^n)*(-(1+m)^2/n^2)^(1/2))^2,x)","F"
107,0,0,58,0.079000," ","int(cos(a+1/2*ln(c*x^n)*(-1/n^2)^(1/2))^2,x)","\int \cos^{2}\left(a +\frac{\ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}}{2}\right)\, dx"," ",0,"int(cos(a+1/2*ln(c*x^n)*(-1/n^2)^(1/2))^2,x)","F"
108,0,0,194,0.105000," ","int(x^m*cos(a+1/2*ln(c*x^n)*(-(1+m)^2/n^2)^(1/2))^3,x)","\int x^{m} \left(\cos^{3}\left(a +\frac{\ln \left(c \,x^{n}\right) \sqrt{-\frac{\left(1+m \right)^{2}}{n^{2}}}}{2}\right)\right)\, dx"," ",0,"int(x^m*cos(a+1/2*ln(c*x^n)*(-(1+m)^2/n^2)^(1/2))^3,x)","F"
109,0,0,109,0.098000," ","int(cos(a+1/3*ln(c*x^n)*(-1/n^2)^(1/2))^3,x)","\int \cos^{3}\left(a +\frac{\ln \left(c \,x^{n}\right) \sqrt{-\frac{1}{n^{2}}}}{3}\right)\, dx"," ",0,"int(cos(a+1/3*ln(c*x^n)*(-1/n^2)^(1/2))^3,x)","F"
110,0,0,92,0.132000," ","int(cos(a+b*ln(c*x^n))^(1/2),x)","\int \sqrt{\cos}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(cos(a+b*ln(c*x^n))^(1/2),x)","F"
111,1,181,60,0.084000," ","int(cos(a+b*ln(c*x^n))^(1/2)/x,x)","\frac{2 \sqrt{\left(2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{\frac{1}{2}-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{2}}\, \sqrt{-2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+1}\, \EllipticE \left(\cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)}{n \sqrt{-2 \left(\sin^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sin \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"2/n*((2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)*sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*cos(1/2*a+1/2*b*ln(c*x^n))^2+1)^(1/2)*EllipticE(cos(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))/(-2*sin(1/2*a+1/2*b*ln(c*x^n))^4+sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/sin(1/2*a+1/2*b*ln(c*x^n))/(2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"
112,0,0,88,0.050000," ","int(cos(a+b*ln(c*x^n))^(3/2),x)","\int \cos^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(cos(a+b*ln(c*x^n))^(3/2),x)","F"
113,1,247,93,0.076000," ","int(cos(a+b*ln(c*x^n))^(3/2)/x,x)","-\frac{2 \sqrt{\left(2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \left(4 \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \left(\sin^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sqrt{\frac{1}{2}-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{2}}\, \sqrt{2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticF \left(\cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)-2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right) \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}{3 n \sqrt{-2 \left(\sin^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sin \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"-2/3/n*((2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)*sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(4*cos(1/2*a+1/2*b*ln(c*x^n))*sin(1/2*a+1/2*b*ln(c*x^n))^4+(sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(2*sin(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticF(cos(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))-2*sin(1/2*a+1/2*b*ln(c*x^n))^2*cos(1/2*a+1/2*b*ln(c*x^n)))/(-2*sin(1/2*a+1/2*b*ln(c*x^n))^4+sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/sin(1/2*a+1/2*b*ln(c*x^n))/(2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"
114,0,0,92,0.050000," ","int(cos(a+b*ln(c*x^n))^(5/2),x)","\int \cos^{\frac{5}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(cos(a+b*ln(c*x^n))^(5/2),x)","F"
115,1,280,93,0.076000," ","int(cos(a+b*ln(c*x^n))^(5/2)/x,x)","-\frac{2 \sqrt{\left(2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \left(-8 \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \left(\sin^{6}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+8 \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \left(\sin^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-3 \sqrt{\frac{1}{2}-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{2}}\, \sqrt{2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticE \left(\cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)-2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right) \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}{5 n \sqrt{-2 \left(\sin^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sin \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"-2/5/n*((2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)*sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-8*cos(1/2*a+1/2*b*ln(c*x^n))*sin(1/2*a+1/2*b*ln(c*x^n))^6+8*cos(1/2*a+1/2*b*ln(c*x^n))*sin(1/2*a+1/2*b*ln(c*x^n))^4-3*(sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(2*sin(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticE(cos(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))-2*sin(1/2*a+1/2*b*ln(c*x^n))^2*cos(1/2*a+1/2*b*ln(c*x^n)))/(-2*sin(1/2*a+1/2*b*ln(c*x^n))^4+sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/sin(1/2*a+1/2*b*ln(c*x^n))/(2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"
116,0,0,88,0.047000," ","int(1/cos(a+b*ln(c*x^n))^(1/2),x)","\int \frac{1}{\sqrt{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}}\, dx"," ",0,"int(1/cos(a+b*ln(c*x^n))^(1/2),x)","F"
117,1,26,60,0.013000," ","int(1/x/cos(a+b*ln(c*x^n))^(1/2),x)","\frac{2 \,\mathrm{am}^{-1}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}| \sqrt{2}\right)}{b n}"," ",0,"2/b/n*InverseJacobiAM(1/2*a+1/2*b*ln(c*x^n),2^(1/2))","C"
118,0,0,88,0.049000," ","int(1/cos(a+b*ln(c*x^n))^(3/2),x)","\int \frac{1}{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/cos(a+b*ln(c*x^n))^(3/2),x)","F"
119,1,139,93,0.081000," ","int(1/x/cos(a+b*ln(c*x^n))^(3/2),x)","-\frac{2 \left(\sqrt{\frac{1}{2}-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{2}}\, \sqrt{2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticE \left(\cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)-2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right) \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}{n \sin \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"-2/n*((sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(2*sin(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticE(cos(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))-2*sin(1/2*a+1/2*b*ln(c*x^n))^2*cos(1/2*a+1/2*b*ln(c*x^n)))/sin(1/2*a+1/2*b*ln(c*x^n))/(2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","A"
120,0,0,88,0.051000," ","int(1/cos(a+b*ln(c*x^n))^(5/2),x)","\int \frac{1}{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/cos(a+b*ln(c*x^n))^(5/2),x)","F"
121,1,291,93,0.078000," ","int(1/x/cos(a+b*ln(c*x^n))^(5/2),x)","-\frac{2 \left(-2 \sqrt{\frac{1}{2}-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{2}}\, \sqrt{2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticF \left(\cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right) \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sqrt{\frac{1}{2}-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{2}}\, \sqrt{2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticF \left(\cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)-2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right) \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right) \sqrt{\left(2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}}{3 n \sqrt{-2 \left(\sin^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \left(2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right)^{\frac{3}{2}} \sin \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) b}"," ",0,"-2/3/n*(-2*(sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(2*sin(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticF(cos(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))*sin(1/2*a+1/2*b*ln(c*x^n))^2+(sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(2*sin(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticF(cos(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))-2*sin(1/2*a+1/2*b*ln(c*x^n))^2*cos(1/2*a+1/2*b*ln(c*x^n)))*((2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)*sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/(-2*sin(1/2*a+1/2*b*ln(c*x^n))^4+sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/(2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)^(3/2)/sin(1/2*a+1/2*b*ln(c*x^n))/b","B"
122,0,0,42,0.227000," ","int(1/cos(a-2*I*ln(c*x))^(3/2),x)","\int \frac{1}{\cos \left(a -2 i \ln \left(c x \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/cos(a-2*I*ln(c*x))^(3/2),x)","F"
123,0,0,266,0.090000," ","int(x^m*cos(a+b*ln(c*x^n))^4,x)","\int x^{m} \left(\cos^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*cos(a+b*ln(c*x^n))^4,x)","F"
124,0,0,201,0.084000," ","int(x^m*cos(a+b*ln(c*x^n))^3,x)","\int x^{m} \left(\cos^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*cos(a+b*ln(c*x^n))^3,x)","F"
125,0,0,120,0.074000," ","int(x^m*cos(a+b*ln(c*x^n))^2,x)","\int x^{m} \left(\cos^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*cos(a+b*ln(c*x^n))^2,x)","F"
126,0,0,70,0.031000," ","int(x^m*cos(a+b*ln(c*x^n)),x)","\int x^{m} \cos \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(x^m*cos(a+b*ln(c*x^n)),x)","F"
127,0,0,110,0.066000," ","int(x^m*cos(a+b*ln(c*x^n))^(3/2),x)","\int x^{m} \left(\cos^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*cos(a+b*ln(c*x^n))^(3/2),x)","F"
128,0,0,111,0.060000," ","int(x^m*cos(a+b*ln(c*x^n))^(1/2),x)","\int x^{m} \left(\sqrt{\cos}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*cos(a+b*ln(c*x^n))^(1/2),x)","F"
129,0,0,110,0.060000," ","int(x^m/cos(a+b*ln(c*x^n))^(1/2),x)","\int \frac{x^{m}}{\sqrt{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}}\, dx"," ",0,"int(x^m/cos(a+b*ln(c*x^n))^(1/2),x)","F"
130,0,0,111,0.062000," ","int(x^m/cos(a+b*ln(c*x^n))^(3/2),x)","\int \frac{x^{m}}{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^m/cos(a+b*ln(c*x^n))^(3/2),x)","F"
131,0,0,111,0.061000," ","int(x^m/cos(a+b*ln(c*x^n))^(5/2),x)","\int \frac{x^{m}}{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^m/cos(a+b*ln(c*x^n))^(5/2),x)","F"
132,0,0,131,0.108000," ","int((e*x)^m*cos(d*(a+b*ln(c*x^n)))^p,x)","\int \left(e x \right)^{m} \left(\cos^{p}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*cos(d*(a+b*ln(c*x^n)))^p,x)","F"
133,0,0,99,0.049000," ","int(x*cos(a+b*ln(c*x^n))^p,x)","\int x \left(\cos^{p}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*cos(a+b*ln(c*x^n))^p,x)","F"
134,0,0,100,0.043000," ","int(cos(a+b*ln(c*x^n))^p,x)","\int \cos^{p}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(cos(a+b*ln(c*x^n))^p,x)","F"
135,1,37,36,0.062000," ","int(x^3*tan(a+I*ln(x)),x)","-i {\mathrm e}^{2 i a} x^{2}+\frac{i x^{4}}{4}+i {\mathrm e}^{4 i a} \ln \left({\mathrm e}^{2 i a}+x^{2}\right)"," ",0,"-I*exp(2*I*a)*x^2+1/4*I*x^4+I*exp(4*I*a)*ln(exp(2*I*a)+x^2)","A"
136,1,33,34,0.056000," ","int(x^2*tan(a+I*ln(x)),x)","\frac{i x^{3}}{3}-2 i {\mathrm e}^{2 i a} x +2 i \arctan \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{3 i a}"," ",0,"1/3*I*x^3-2*I*exp(2*I*a)*x+2*I*arctan(x*exp(-I*a))*exp(3*I*a)","A"
137,1,26,25,0.047000," ","int(x*tan(a+I*ln(x)),x)","\frac{i x^{2}}{2}-i {\mathrm e}^{2 i a} \ln \left({\mathrm e}^{2 i a}+x^{2}\right)"," ",0,"1/2*I*x^2-I*exp(2*I*a)*ln(exp(2*I*a)+x^2)","A"
138,1,22,23,0.044000," ","int(tan(a+I*ln(x)),x)","i x -2 i \arctan \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{i a}"," ",0,"I*x-2*I*arctan(x*exp(-I*a))*exp(I*a)","A"
139,1,17,12,0.003000," ","int(tan(a+I*ln(x))/x,x)","-\frac{i \ln \left(1+\tan^{2}\left(a +i \ln \left(x \right)\right)\right)}{2}"," ",0,"-1/2*I*ln(1+tan(a+I*ln(x))^2)","A"
140,1,24,27,0.046000," ","int(tan(a+I*ln(x))/x^2,x)","\frac{i}{x}+2 i \arctan \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{-i a}"," ",0,"I/x+2*I*arctan(x*exp(-I*a))*exp(-I*a)","A"
141,1,36,29,0.059000," ","int(tan(a+I*ln(x))/x^3,x)","\frac{i}{2 x^{2}}+2 i {\mathrm e}^{-2 i a} \ln \left(x \right)-i {\mathrm e}^{-2 i a} \ln \left({\mathrm e}^{2 i a}+x^{2}\right)"," ",0,"1/2*I/x^2+2*I*exp(-2*I*a)*ln(x)-I*exp(-2*I*a)*ln(exp(2*I*a)+x^2)","A"
142,1,35,40,0.059000," ","int(tan(a+I*ln(x))/x^4,x)","\frac{i}{3 x^{3}}-\frac{2 i {\mathrm e}^{-2 i a}}{x}-2 i \arctan \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{-3 i a}"," ",0,"1/3*I/x^3-2*I*exp(-2*I*a)/x-2*I*arctan(x*exp(-I*a))*exp(-3*I*a)","A"
143,1,52,51,0.056000," ","int(x^3*tan(a+I*ln(x))^2,x)","-\frac{9 x^{4}}{4}+\frac{2 x^{4}}{1+\frac{{\mathrm e}^{2 i a}}{x^{2}}}+4 \,{\mathrm e}^{2 i a} x^{2}-4 \,{\mathrm e}^{4 i a} \ln \left({\mathrm e}^{2 i a}+x^{2}\right)"," ",0,"-9/4*x^4+2*x^4/(1+exp(2*I*a)/x^2)+4*exp(2*I*a)*x^2-4*exp(4*I*a)*ln(exp(2*I*a)+x^2)","A"
144,1,48,52,0.053000," ","int(x^2*tan(a+I*ln(x))^2,x)","-\frac{7 x^{3}}{3}+\frac{2 x^{3}}{1+\frac{{\mathrm e}^{2 i a}}{x^{2}}}+6 \,{\mathrm e}^{2 i a} x -6 \arctan \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{3 i a}"," ",0,"-7/3*x^3+2*x^3/(1+exp(2*I*a)/x^2)+6*exp(2*I*a)*x-6*arctan(x*exp(-I*a))*exp(3*I*a)","A"
145,1,42,41,0.046000," ","int(x*tan(a+I*ln(x))^2,x)","-\frac{5 x^{2}}{2}+\frac{2 x^{2}}{1+\frac{{\mathrm e}^{2 i a}}{x^{2}}}+2 \,{\mathrm e}^{2 i a} \ln \left({\mathrm e}^{2 i a}+x^{2}\right)"," ",0,"-5/2*x^2+2*x^2/(1+exp(2*I*a)/x^2)+2*exp(2*I*a)*ln(exp(2*I*a)+x^2)","A"
146,1,36,40,0.043000," ","int(tan(a+I*ln(x))^2,x)","-3 x +\frac{2 x}{1+\frac{{\mathrm e}^{2 i a}}{x^{2}}}+2 \arctan \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{i a}"," ",0,"-3*x+2*x/(1+exp(2*I*a)/x^2)+2*arctan(x*exp(-I*a))*exp(I*a)","A"
147,1,23,16,0.006000," ","int(tan(a+I*ln(x))^2/x,x)","-i \tan \left(a +i \ln \left(x \right)\right)+i \left(a +i \ln \left(x \right)\right)"," ",0,"-I*tan(a+I*ln(x))+I*(a+I*ln(x))","A"
148,1,38,54,0.050000," ","int(tan(a+I*ln(x))^2/x^2,x)","\frac{1}{x}+\frac{2}{x \left(1+\frac{{\mathrm e}^{2 i a}}{x^{2}}\right)}+2 \arctan \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{-i a}"," ",0,"1/x+2/x/(1+exp(2*I*a)/x^2)+2*arctan(x*exp(-I*a))*exp(-I*a)","A"
149,1,51,49,0.056000," ","int(tan(a+I*ln(x))^2/x^3,x)","\frac{1}{2 x^{2}}+\frac{2}{x^{2} \left(1+\frac{{\mathrm e}^{2 i a}}{x^{2}}\right)}+4 \,{\mathrm e}^{-2 i a} \ln \left(x \right)-2 \,{\mathrm e}^{-2 i a} \ln \left({\mathrm e}^{2 i a}+x^{2}\right)"," ",0,"1/2/x^2+2/x^2/(1+exp(2*I*a)/x^2)+4*exp(-2*I*a)*ln(x)-2*exp(-2*I*a)*ln(exp(2*I*a)+x^2)","A"
150,0,0,61,0.162000," ","int((e*x)^m*tan(a+I*ln(x)),x)","\int \left(e x \right)^{m} \tan \left(a +i \ln \left(x \right)\right)\, dx"," ",0,"int((e*x)^m*tan(a+I*ln(x)),x)","F"
151,0,0,67,0.050000," ","int((e*x)^m*tan(a+I*ln(x))^2,x)","\int \left(e x \right)^{m} \left(\tan^{2}\left(a +i \ln \left(x \right)\right)\right)\, dx"," ",0,"int((e*x)^m*tan(a+I*ln(x))^2,x)","F"
152,0,0,156,0.061000," ","int((e*x)^m*tan(a+I*ln(x))^3,x)","\int \left(e x \right)^{m} \left(\tan^{3}\left(a +i \ln \left(x \right)\right)\right)\, dx"," ",0,"int((e*x)^m*tan(a+I*ln(x))^3,x)","F"
153,0,0,117,0.328000," ","int(tan(a+b*ln(x))^p,x)","\int \tan^{p}\left(a +b \ln \left(x \right)\right)\, dx"," ",0,"int(tan(a+b*ln(x))^p,x)","F"
154,0,0,137,0.346000," ","int((e*x)^m*tan(a+b*ln(x))^p,x)","\int \left(e x \right)^{m} \left(\tan^{p}\left(a +b \ln \left(x \right)\right)\right)\, dx"," ",0,"int((e*x)^m*tan(a+b*ln(x))^p,x)","F"
155,0,0,96,0.431000," ","int(tan(a+ln(x))^p,x)","\int \tan^{p}\left(a +\ln \left(x \right)\right)\, dx"," ",0,"int(tan(a+ln(x))^p,x)","F"
156,0,0,96,0.315000," ","int(tan(a+2*ln(x))^p,x)","\int \tan^{p}\left(a +2 \ln \left(x \right)\right)\, dx"," ",0,"int(tan(a+2*ln(x))^p,x)","F"
157,0,0,96,0.304000," ","int(tan(a+3*ln(x))^p,x)","\int \tan^{p}\left(a +3 \ln \left(x \right)\right)\, dx"," ",0,"int(tan(a+3*ln(x))^p,x)","F"
158,0,0,62,1.356000," ","int(x^3*tan(d*(a+b*ln(c*x^n))),x)","\int x^{3} \tan \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^3*tan(d*(a+b*ln(c*x^n))),x)","F"
159,0,0,62,1.126000," ","int(x^2*tan(d*(a+b*ln(c*x^n))),x)","\int x^{2} \tan \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^2*tan(d*(a+b*ln(c*x^n))),x)","F"
160,0,0,62,1.010000," ","int(x*tan(d*(a+b*ln(c*x^n))),x)","\int x \tan \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*tan(d*(a+b*ln(c*x^n))),x)","F"
161,0,0,58,0.877000," ","int(tan(d*(a+b*ln(c*x^n))),x)","\int \tan \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(tan(d*(a+b*ln(c*x^n))),x)","F"
162,1,30,26,0.004000," ","int(tan(d*(a+b*ln(c*x^n)))/x,x)","\frac{\ln \left(1+\tan^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)}{2 n b d}"," ",0,"1/2/n/b/d*ln(1+tan(d*(a+b*ln(c*x^n)))^2)","A"
163,0,0,62,1.159000," ","int(tan(d*(a+b*ln(c*x^n)))/x^2,x)","\int \frac{\tan \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{2}}\, dx"," ",0,"int(tan(d*(a+b*ln(c*x^n)))/x^2,x)","F"
164,0,0,62,1.343000," ","int(tan(d*(a+b*ln(c*x^n)))/x^3,x)","\int \frac{\tan \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{3}}\, dx"," ",0,"int(tan(d*(a+b*ln(c*x^n)))/x^3,x)","F"
165,0,0,145,0.277000," ","int(x^3*tan(d*(a+b*ln(c*x^n)))^2,x)","\int x^{3} \left(\tan^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int(x^3*tan(d*(a+b*ln(c*x^n)))^2,x)","F"
166,0,0,145,0.608000," ","int(x^2*tan(d*(a+b*ln(c*x^n)))^2,x)","\int x^{2} \left(\tan^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int(x^2*tan(d*(a+b*ln(c*x^n)))^2,x)","F"
167,0,0,145,0.189000," ","int(x*tan(d*(a+b*ln(c*x^n)))^2,x)","\int x \left(\tan^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int(x*tan(d*(a+b*ln(c*x^n)))^2,x)","F"
168,0,0,138,0.151000," ","int(tan(d*(a+b*ln(c*x^n)))^2,x)","\int \tan^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(tan(d*(a+b*ln(c*x^n)))^2,x)","F"
169,1,50,29,0.007000," ","int(tan(d*(a+b*ln(c*x^n)))^2/x,x)","\frac{\tan \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b d n}-\frac{\arctan \left(\tan \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)}{b d n}"," ",0,"1/b/d/n*tan(d*(a+b*ln(c*x^n)))-1/b/d/n*arctan(tan(d*(a+b*ln(c*x^n))))","A"
170,0,0,141,0.231000," ","int(tan(d*(a+b*ln(c*x^n)))^2/x^2,x)","\int \frac{\tan^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{2}}\, dx"," ",0,"int(tan(d*(a+b*ln(c*x^n)))^2/x^2,x)","F"
171,0,0,142,0.276000," ","int(tan(d*(a+b*ln(c*x^n)))^2/x^3,x)","\int \frac{\tan^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{3}}\, dx"," ",0,"int(tan(d*(a+b*ln(c*x^n)))^2/x^3,x)","F"
172,1,47,41,0.007000," ","int(tan(a+b*ln(c*x^n))^3/x,x)","\frac{\tan^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}-\frac{\ln \left(1+\tan^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{2 n b}"," ",0,"1/2*tan(a+b*ln(c*x^n))^2/b/n-1/2/n/b*ln(1+tan(a+b*ln(c*x^n))^2)","A"
173,1,61,43,0.006000," ","int(tan(a+b*ln(c*x^n))^4/x,x)","\frac{\tan^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)}{3 b n}-\frac{\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}{b n}+\frac{\arctan \left(\tan \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{n b}"," ",0,"1/3*tan(a+b*ln(c*x^n))^3/b/n-tan(a+b*ln(c*x^n))/b/n+1/n/b*arctan(tan(a+b*ln(c*x^n)))","A"
174,1,68,63,0.004000," ","int(tan(a+b*ln(c*x^n))^5/x,x)","\frac{\tan^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)}{4 b n}-\frac{\tan^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}+\frac{\ln \left(1+\tan^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{2 n b}"," ",0,"1/4*tan(a+b*ln(c*x^n))^4/b/n-1/2*tan(a+b*ln(c*x^n))^2/b/n+1/2/n/b*ln(1+tan(a+b*ln(c*x^n))^2)","A"
175,0,0,92,1.523000," ","int((e*x)^m*tan(d*(a+b*ln(c*x^n))),x)","\int \left(e x \right)^{m} \tan \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int((e*x)^m*tan(d*(a+b*ln(c*x^n))),x)","F"
176,0,0,180,0.347000," ","int((e*x)^m*tan(d*(a+b*ln(c*x^n)))^2,x)","\int \left(e x \right)^{m} \left(\tan^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*tan(d*(a+b*ln(c*x^n)))^2,x)","F"
177,0,0,318,0.349000," ","int((e*x)^m*tan(d*(a+b*ln(c*x^n)))^3,x)","\int \left(e x \right)^{m} \left(\tan^{3}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*tan(d*(a+b*ln(c*x^n)))^3,x)","F"
178,0,0,165,0.099000," ","int(tan(d*(a+b*ln(c*x^n)))^p,x)","\int \tan^{p}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(tan(d*(a+b*ln(c*x^n)))^p,x)","F"
179,0,0,185,0.099000," ","int((e*x)^m*tan(d*(a+b*ln(c*x^n)))^p,x)","\int \left(e x \right)^{m} \left(\tan^{p}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*tan(d*(a+b*ln(c*x^n)))^p,x)","F"
180,1,161,169,0.039000," ","int(tan(a+b*ln(c*x^n))^(5/2)/x,x)","\frac{2 \left(\tan^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3 b n}-\frac{\arctan \left(1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}-\frac{\arctan \left(-1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}-\frac{\sqrt{2}\, \ln \left(\frac{1-\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}{1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}\right)}{4 b n}"," ",0,"2/3*tan(a+b*ln(c*x^n))^(3/2)/b/n-1/2*arctan(1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)-1/2*arctan(-1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)-1/4/b/n*2^(1/2)*ln((1-2^(1/2)*tan(a+b*ln(c*x^n))^(1/2)+tan(a+b*ln(c*x^n)))/(1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2)+tan(a+b*ln(c*x^n))))","A"
181,1,161,169,0.030000," ","int(tan(a+b*ln(c*x^n))^(3/2)/x,x)","\frac{2 \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}-\frac{\arctan \left(1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}-\frac{\arctan \left(-1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}-\frac{\sqrt{2}\, \ln \left(\frac{1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}{1-\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}\right)}{4 b n}"," ",0,"2*tan(a+b*ln(c*x^n))^(1/2)/b/n-1/2*arctan(1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)-1/2*arctan(-1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)-1/4/b/n*2^(1/2)*ln((1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2)+tan(a+b*ln(c*x^n)))/(1-2^(1/2)*tan(a+b*ln(c*x^n))^(1/2)+tan(a+b*ln(c*x^n))))","A"
182,1,140,148,0.029000," ","int(tan(a+b*ln(c*x^n))^(1/2)/x,x)","\frac{\sqrt{2}\, \ln \left(\frac{1-\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}{1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}\right)}{4 b n}+\frac{\arctan \left(1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}+\frac{\arctan \left(-1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}"," ",0,"1/4/b/n*2^(1/2)*ln((1-2^(1/2)*tan(a+b*ln(c*x^n))^(1/2)+tan(a+b*ln(c*x^n)))/(1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2)+tan(a+b*ln(c*x^n))))+1/2*arctan(1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)+1/2*arctan(-1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)","A"
183,1,140,148,0.032000," ","int(1/x/tan(a+b*ln(c*x^n))^(1/2),x)","\frac{\sqrt{2}\, \ln \left(\frac{1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}{1-\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}\right)}{4 b n}+\frac{\arctan \left(1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}+\frac{\arctan \left(-1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}"," ",0,"1/4/b/n*2^(1/2)*ln((1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2)+tan(a+b*ln(c*x^n)))/(1-2^(1/2)*tan(a+b*ln(c*x^n))^(1/2)+tan(a+b*ln(c*x^n))))+1/2*arctan(1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)+1/2*arctan(-1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)","A"
184,1,161,169,0.030000," ","int(1/x/tan(a+b*ln(c*x^n))^(3/2),x)","-\frac{\arctan \left(1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}-\frac{\arctan \left(-1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}-\frac{\sqrt{2}\, \ln \left(\frac{1-\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}{1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}\right)}{4 b n}-\frac{2}{b n \sqrt{\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}}"," ",0,"-1/2*arctan(1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)-1/2*arctan(-1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)-1/4/b/n*2^(1/2)*ln((1-2^(1/2)*tan(a+b*ln(c*x^n))^(1/2)+tan(a+b*ln(c*x^n)))/(1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2)+tan(a+b*ln(c*x^n))))-2/b/n/tan(a+b*ln(c*x^n))^(1/2)","A"
185,1,161,169,0.030000," ","int(1/x/tan(a+b*ln(c*x^n))^(5/2),x)","-\frac{\arctan \left(1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}-\frac{\arctan \left(-1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}-\frac{\sqrt{2}\, \ln \left(\frac{1+\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}{1-\sqrt{2}\, \left(\sqrt{\tan}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}\right)}{4 b n}-\frac{2}{3 b n \tan \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}}}"," ",0,"-1/2*arctan(1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)-1/2*arctan(-1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)-1/4/b/n*2^(1/2)*ln((1+2^(1/2)*tan(a+b*ln(c*x^n))^(1/2)+tan(a+b*ln(c*x^n)))/(1-2^(1/2)*tan(a+b*ln(c*x^n))^(1/2)+tan(a+b*ln(c*x^n))))-2/3/b/n/tan(a+b*ln(c*x^n))^(3/2)","A"
186,1,39,38,0.066000," ","int(x^3*cot(a+I*ln(x)),x)","-i {\mathrm e}^{2 i a} x^{2}-\frac{i x^{4}}{4}-i {\mathrm e}^{4 i a} \ln \left({\mathrm e}^{2 i a}-x^{2}\right)"," ",0,"-I*exp(2*I*a)*x^2-1/4*I*x^4-I*exp(4*I*a)*ln(exp(2*I*a)-x^2)","A"
187,1,33,34,0.059000," ","int(x^2*cot(a+I*ln(x)),x)","-\frac{i x^{3}}{3}-2 i {\mathrm e}^{2 i a} x +2 i \arctanh \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{3 i a}"," ",0,"-1/3*I*x^3-2*I*exp(2*I*a)*x+2*I*arctanh(x*exp(-I*a))*exp(3*I*a)","A"
188,1,28,27,0.056000," ","int(x*cot(a+I*ln(x)),x)","-\frac{i x^{2}}{2}-i {\mathrm e}^{2 i a} \ln \left({\mathrm e}^{2 i a}-x^{2}\right)"," ",0,"-1/2*I*x^2-I*exp(2*I*a)*ln(exp(2*I*a)-x^2)","A"
189,1,22,23,0.053000," ","int(cot(a+I*ln(x)),x)","-i x +2 i \arctanh \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{i a}"," ",0,"-I*x+2*I*arctanh(x*exp(-I*a))*exp(I*a)","A"
190,1,17,12,0.003000," ","int(cot(a+I*ln(x))/x,x)","\frac{i \ln \left(\cot^{2}\left(a +i \ln \left(x \right)\right)+1\right)}{2}"," ",0,"1/2*I*ln(cot(a+I*ln(x))^2+1)","A"
191,1,24,27,0.056000," ","int(cot(a+I*ln(x))/x^2,x)","-\frac{i}{x}+2 i \arctanh \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{-i a}"," ",0,"-I/x+2*I*arctanh(x*exp(-I*a))*exp(-I*a)","A"
192,1,38,30,0.062000," ","int(cot(a+I*ln(x))/x^3,x)","-\frac{i}{2 x^{2}}+2 i {\mathrm e}^{-2 i a} \ln \left(x \right)-i {\mathrm e}^{-2 i a} \ln \left({\mathrm e}^{2 i a}-x^{2}\right)"," ",0,"-1/2*I/x^2+2*I*exp(-2*I*a)*ln(x)-I*exp(-2*I*a)*ln(exp(2*I*a)-x^2)","A"
193,1,35,40,0.063000," ","int(cot(a+I*ln(x))/x^4,x)","-\frac{i}{3 x^{3}}-\frac{2 i {\mathrm e}^{-2 i a}}{x}+2 i \arctanh \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{-3 i a}"," ",0,"-1/3*I/x^3-2*I*exp(-2*I*a)/x+2*I*arctanh(x*exp(-I*a))*exp(-3*I*a)","A"
194,1,54,55,0.065000," ","int(x^3*cot(a+I*ln(x))^2,x)","-\frac{9 x^{4}}{4}-\frac{2 x^{4}}{\frac{{\mathrm e}^{2 i a}}{x^{2}}-1}-4 \,{\mathrm e}^{2 i a} x^{2}-4 \,{\mathrm e}^{4 i a} \ln \left({\mathrm e}^{2 i a}-x^{2}\right)"," ",0,"-9/4*x^4-2*x^4/(exp(2*I*a)/x^2-1)-4*exp(2*I*a)*x^2-4*exp(4*I*a)*ln(exp(2*I*a)-x^2)","A"
195,1,48,54,0.063000," ","int(x^2*cot(a+I*ln(x))^2,x)","-\frac{7 x^{3}}{3}-\frac{2 x^{3}}{\frac{{\mathrm e}^{2 i a}}{x^{2}}-1}-6 \,{\mathrm e}^{2 i a} x +6 \arctanh \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{3 i a}"," ",0,"-7/3*x^3-2*x^3/(exp(2*I*a)/x^2-1)-6*exp(2*I*a)*x+6*arctanh(x*exp(-I*a))*exp(3*I*a)","A"
196,1,44,45,0.056000," ","int(x*cot(a+I*ln(x))^2,x)","-\frac{5 x^{2}}{2}-\frac{2 x^{2}}{\frac{{\mathrm e}^{2 i a}}{x^{2}}-1}-2 \,{\mathrm e}^{2 i a} \ln \left({\mathrm e}^{2 i a}-x^{2}\right)"," ",0,"-5/2*x^2-2*x^2/(exp(2*I*a)/x^2-1)-2*exp(2*I*a)*ln(exp(2*I*a)-x^2)","A"
197,1,36,42,0.057000," ","int(cot(a+I*ln(x))^2,x)","-3 x -\frac{2 x}{\frac{{\mathrm e}^{2 i a}}{x^{2}}-1}+2 \arctanh \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{i a}"," ",0,"-3*x-2*x/(exp(2*I*a)/x^2-1)+2*arctanh(x*exp(-I*a))*exp(I*a)","A"
198,1,27,16,0.006000," ","int(cot(a+I*ln(x))^2/x,x)","i \cot \left(a +i \ln \left(x \right)\right)-\frac{i \pi}{2}+i \left(a +i \ln \left(x \right)\right)"," ",0,"I*cot(a+I*ln(x))-1/2*I*Pi+I*(a+I*ln(x))","A"
199,1,38,58,0.062000," ","int(cot(a+I*ln(x))^2/x^2,x)","\frac{1}{x}-\frac{2}{x \left(\frac{{\mathrm e}^{2 i a}}{x^{2}}-1\right)}-2 \arctanh \left(x \,{\mathrm e}^{-i a}\right) {\mathrm e}^{-i a}"," ",0,"1/x-2/x/(exp(2*I*a)/x^2-1)-2*arctanh(x*exp(-I*a))*exp(-I*a)","A"
200,1,53,51,0.067000," ","int(cot(a+I*ln(x))^2/x^3,x)","\frac{1}{2 x^{2}}-\frac{2}{x^{2} \left(\frac{{\mathrm e}^{2 i a}}{x^{2}}-1\right)}-4 \,{\mathrm e}^{-2 i a} \ln \left(x \right)+2 \,{\mathrm e}^{-2 i a} \ln \left({\mathrm e}^{2 i a}-x^{2}\right)"," ",0,"1/2/x^2-2/x^2/(exp(2*I*a)/x^2-1)-4*exp(-2*I*a)*ln(x)+2*exp(-2*I*a)*ln(exp(2*I*a)-x^2)","A"
201,0,0,60,0.118000," ","int((e*x)^m*cot(a+I*ln(x)),x)","\int \left(e x \right)^{m} \cot \left(a +i \ln \left(x \right)\right)\, dx"," ",0,"int((e*x)^m*cot(a+I*ln(x)),x)","F"
202,0,0,67,0.061000," ","int((e*x)^m*cot(a+I*ln(x))^2,x)","\int \left(e x \right)^{m} \left(\cot^{2}\left(a +i \ln \left(x \right)\right)\right)\, dx"," ",0,"int((e*x)^m*cot(a+I*ln(x))^2,x)","F"
203,0,0,143,0.126000," ","int((e*x)^m*cot(a+I*ln(x))^3,x)","\int \left(e x \right)^{m} \left(\cot^{3}\left(a +i \ln \left(x \right)\right)\right)\, dx"," ",0,"int((e*x)^m*cot(a+I*ln(x))^3,x)","F"
204,0,0,117,0.354000," ","int(cot(a+b*ln(x))^p,x)","\int \cot^{p}\left(a +b \ln \left(x \right)\right)\, dx"," ",0,"int(cot(a+b*ln(x))^p,x)","F"
205,0,0,137,0.352000," ","int((e*x)^m*cot(a+b*ln(x))^p,x)","\int \left(e x \right)^{m} \left(\cot^{p}\left(a +b \ln \left(x \right)\right)\right)\, dx"," ",0,"int((e*x)^m*cot(a+b*ln(x))^p,x)","F"
206,0,0,96,0.297000," ","int(cot(a+ln(x))^p,x)","\int \cot^{p}\left(a +\ln \left(x \right)\right)\, dx"," ",0,"int(cot(a+ln(x))^p,x)","F"
207,0,0,96,0.305000," ","int(cot(a+2*ln(x))^p,x)","\int \cot^{p}\left(a +2 \ln \left(x \right)\right)\, dx"," ",0,"int(cot(a+2*ln(x))^p,x)","F"
208,0,0,96,0.309000," ","int(cot(a+3*ln(x))^p,x)","\int \cot^{p}\left(a +3 \ln \left(x \right)\right)\, dx"," ",0,"int(cot(a+3*ln(x))^p,x)","F"
209,0,0,61,1.656000," ","int(x^3*cot(d*(a+b*ln(c*x^n))),x)","\int x^{3} \cot \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^3*cot(d*(a+b*ln(c*x^n))),x)","F"
210,0,0,61,1.421000," ","int(x^2*cot(d*(a+b*ln(c*x^n))),x)","\int x^{2} \cot \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^2*cot(d*(a+b*ln(c*x^n))),x)","F"
211,0,0,61,1.241000," ","int(x*cot(d*(a+b*ln(c*x^n))),x)","\int x \cot \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*cot(d*(a+b*ln(c*x^n))),x)","F"
212,0,0,57,1.050000," ","int(cot(d*(a+b*ln(c*x^n))),x)","\int \cot \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(cot(d*(a+b*ln(c*x^n))),x)","F"
213,1,30,25,0.004000," ","int(cot(d*(a+b*ln(c*x^n)))/x,x)","-\frac{\ln \left(\cot^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)+1\right)}{2 n b d}"," ",0,"-1/2/n/b/d*ln(cot(d*(a+b*ln(c*x^n)))^2+1)","A"
214,0,0,61,1.454000," ","int(cot(d*(a+b*ln(c*x^n)))/x^2,x)","\int \frac{\cot \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{2}}\, dx"," ",0,"int(cot(d*(a+b*ln(c*x^n)))/x^2,x)","F"
215,0,0,61,1.708000," ","int(cot(d*(a+b*ln(c*x^n)))/x^3,x)","\int \frac{\cot \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{3}}\, dx"," ",0,"int(cot(d*(a+b*ln(c*x^n)))/x^3,x)","F"
216,0,0,144,0.422000," ","int(x^3*cot(d*(a+b*ln(c*x^n)))^2,x)","\int x^{3} \left(\cot^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int(x^3*cot(d*(a+b*ln(c*x^n)))^2,x)","F"
217,0,0,144,0.812000," ","int(x^2*cot(d*(a+b*ln(c*x^n)))^2,x)","\int x^{2} \left(\cot^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int(x^2*cot(d*(a+b*ln(c*x^n)))^2,x)","F"
218,0,0,144,0.272000," ","int(x*cot(d*(a+b*ln(c*x^n)))^2,x)","\int x \left(\cot^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int(x*cot(d*(a+b*ln(c*x^n)))^2,x)","F"
219,0,0,137,0.204000," ","int(cot(d*(a+b*ln(c*x^n)))^2,x)","\int \cot^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(cot(d*(a+b*ln(c*x^n)))^2,x)","F"
220,1,63,30,0.006000," ","int(cot(d*(a+b*ln(c*x^n)))^2/x,x)","-\frac{\cot \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b d n}+\frac{\pi}{2 b d n}-\frac{\mathrm{arccot}\left(\cot \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)}{b d n}"," ",0,"-1/b/d/n*cot(d*(a+b*ln(c*x^n)))+1/2/b/d/n*Pi-1/b/d/n*arccot(cot(d*(a+b*ln(c*x^n))))","B"
221,0,0,140,0.325000," ","int(cot(d*(a+b*ln(c*x^n)))^2/x^2,x)","\int \frac{\cot^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{2}}\, dx"," ",0,"int(cot(d*(a+b*ln(c*x^n)))^2/x^2,x)","F"
222,0,0,141,0.402000," ","int(cot(d*(a+b*ln(c*x^n)))^2/x^3,x)","\int \frac{\cot^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{x^{3}}\, dx"," ",0,"int(cot(d*(a+b*ln(c*x^n)))^2/x^3,x)","F"
223,1,47,42,0.007000," ","int(cot(a+b*ln(c*x^n))^3/x,x)","-\frac{\cot^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}+\frac{\ln \left(\cot^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 n b}"," ",0,"-1/2*cot(a+b*ln(c*x^n))^2/b/n+1/2/n/b*ln(cot(a+b*ln(c*x^n))^2+1)","A"
224,1,69,42,0.007000," ","int(cot(a+b*ln(c*x^n))^4/x,x)","-\frac{\cot^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)}{3 b n}+\frac{\cot \left(a +b \ln \left(c \,x^{n}\right)\right)}{b n}-\frac{\pi}{2 n b}+\frac{\mathrm{arccot}\left(\cot \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{n b}"," ",0,"-1/3*cot(a+b*ln(c*x^n))^3/b/n+cot(a+b*ln(c*x^n))/b/n-1/2/n/b*Pi+1/n/b*arccot(cot(a+b*ln(c*x^n)))","A"
225,1,68,62,0.006000," ","int(cot(a+b*ln(c*x^n))^5/x,x)","-\frac{\cot^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)}{4 b n}+\frac{\cot^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}-\frac{\ln \left(\cot^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)+1\right)}{2 n b}"," ",0,"-1/4*cot(a+b*ln(c*x^n))^4/b/n+1/2*cot(a+b*ln(c*x^n))^2/b/n-1/2/n/b*ln(cot(a+b*ln(c*x^n))^2+1)","A"
226,0,0,91,1.879000," ","int((e*x)^m*cot(d*(a+b*ln(c*x^n))),x)","\int \left(e x \right)^{m} \cot \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int((e*x)^m*cot(d*(a+b*ln(c*x^n))),x)","F"
227,0,0,179,0.447000," ","int((e*x)^m*cot(d*(a+b*ln(c*x^n)))^2,x)","\int \left(e x \right)^{m} \left(\cot^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*cot(d*(a+b*ln(c*x^n)))^2,x)","F"
228,0,0,317,0.487000," ","int((e*x)^m*cot(d*(a+b*ln(c*x^n)))^3,x)","\int \left(e x \right)^{m} \left(\cot^{3}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*cot(d*(a+b*ln(c*x^n)))^3,x)","F"
229,0,0,165,0.125000," ","int(cot(d*(a+b*ln(c*x^n)))^p,x)","\int \cot^{p}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(cot(d*(a+b*ln(c*x^n)))^p,x)","F"
230,0,0,185,0.102000," ","int((e*x)^m*cot(d*(a+b*ln(c*x^n)))^p,x)","\int \left(e x \right)^{m} \left(\cot^{p}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*cot(d*(a+b*ln(c*x^n)))^p,x)","F"
231,1,161,169,0.057000," ","int(cot(a+b*ln(c*x^n))^(5/2)/x,x)","-\frac{2 \left(\cot^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3 b n}+\frac{\arctan \left(1+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}+\frac{\arctan \left(-1+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}+\frac{\sqrt{2}\, \ln \left(\frac{1+\cot \left(a +b \ln \left(c \,x^{n}\right)\right)-\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{1+\cot \left(a +b \ln \left(c \,x^{n}\right)\right)+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}\right)}{4 b n}"," ",0,"-2/3*cot(a+b*ln(c*x^n))^(3/2)/b/n+1/2*arctan(1+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)+1/2*arctan(-1+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)+1/4/b/n*2^(1/2)*ln((1+cot(a+b*ln(c*x^n))-2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/(1+cot(a+b*ln(c*x^n))+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2)))","A"
232,1,161,169,0.045000," ","int(cot(a+b*ln(c*x^n))^(3/2)/x,x)","-\frac{2 \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{b n}+\frac{\arctan \left(1+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}+\frac{\arctan \left(-1+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}+\frac{\sqrt{2}\, \ln \left(\frac{1+\cot \left(a +b \ln \left(c \,x^{n}\right)\right)+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{1+\cot \left(a +b \ln \left(c \,x^{n}\right)\right)-\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}\right)}{4 b n}"," ",0,"-2*cot(a+b*ln(c*x^n))^(1/2)/b/n+1/2*arctan(1+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)+1/2*arctan(-1+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)+1/4/b/n*2^(1/2)*ln((1+cot(a+b*ln(c*x^n))+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/(1+cot(a+b*ln(c*x^n))-2^(1/2)*cot(a+b*ln(c*x^n))^(1/2)))","A"
233,1,140,148,0.042000," ","int(cot(a+b*ln(c*x^n))^(1/2)/x,x)","-\frac{\sqrt{2}\, \ln \left(\frac{1+\cot \left(a +b \ln \left(c \,x^{n}\right)\right)-\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{1+\cot \left(a +b \ln \left(c \,x^{n}\right)\right)+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}\right)}{4 b n}-\frac{\arctan \left(1+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}-\frac{\arctan \left(-1+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}"," ",0,"-1/4/b/n*2^(1/2)*ln((1+cot(a+b*ln(c*x^n))-2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/(1+cot(a+b*ln(c*x^n))+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2)))-1/2*arctan(1+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)-1/2*arctan(-1+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)","A"
234,1,140,148,0.043000," ","int(1/x/cot(a+b*ln(c*x^n))^(1/2),x)","-\frac{\sqrt{2}\, \ln \left(\frac{1+\cot \left(a +b \ln \left(c \,x^{n}\right)\right)+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{1+\cot \left(a +b \ln \left(c \,x^{n}\right)\right)-\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}\right)}{4 b n}-\frac{\arctan \left(1+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}-\frac{\arctan \left(-1+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}"," ",0,"-1/4/b/n*2^(1/2)*ln((1+cot(a+b*ln(c*x^n))+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/(1+cot(a+b*ln(c*x^n))-2^(1/2)*cot(a+b*ln(c*x^n))^(1/2)))-1/2*arctan(1+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)-1/2*arctan(-1+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)","A"
235,1,161,169,0.042000," ","int(1/x/cot(a+b*ln(c*x^n))^(3/2),x)","\frac{\arctan \left(1+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}+\frac{\arctan \left(-1+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}+\frac{\sqrt{2}\, \ln \left(\frac{1+\cot \left(a +b \ln \left(c \,x^{n}\right)\right)-\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{1+\cot \left(a +b \ln \left(c \,x^{n}\right)\right)+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}\right)}{4 b n}+\frac{2}{b n \sqrt{\cot \left(a +b \ln \left(c \,x^{n}\right)\right)}}"," ",0,"1/2*arctan(1+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)+1/2*arctan(-1+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)+1/4/b/n*2^(1/2)*ln((1+cot(a+b*ln(c*x^n))-2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/(1+cot(a+b*ln(c*x^n))+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2)))+2/b/n/cot(a+b*ln(c*x^n))^(1/2)","A"
236,1,161,169,0.043000," ","int(1/x/cot(a+b*ln(c*x^n))^(5/2),x)","\frac{\sqrt{2}\, \ln \left(\frac{1+\cot \left(a +b \ln \left(c \,x^{n}\right)\right)+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{1+\cot \left(a +b \ln \left(c \,x^{n}\right)\right)-\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}\right)}{4 b n}+\frac{\arctan \left(1+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}+\frac{\arctan \left(-1+\sqrt{2}\, \left(\sqrt{\cot}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right) \sqrt{2}}{2 b n}+\frac{2}{3 b n \cot \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}}}"," ",0,"1/4/b/n*2^(1/2)*ln((1+cot(a+b*ln(c*x^n))+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/(1+cot(a+b*ln(c*x^n))-2^(1/2)*cot(a+b*ln(c*x^n))^(1/2)))+1/2*arctan(1+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)+1/2*arctan(-1+2^(1/2)*cot(a+b*ln(c*x^n))^(1/2))/b/n*2^(1/2)+2/3/b/n/cot(a+b*ln(c*x^n))^(3/2)","A"
237,0,0,72,0.335000," ","int(x^2*sec(a+b*ln(c*x^n)),x)","\int x^{2} \sec \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(x^2*sec(a+b*ln(c*x^n)),x)","F"
238,0,0,72,0.271000," ","int(x*sec(a+b*ln(c*x^n)),x)","\int x \sec \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(x*sec(a+b*ln(c*x^n)),x)","F"
239,0,0,70,0.241000," ","int(sec(a+b*ln(c*x^n)),x)","\int \sec \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sec(a+b*ln(c*x^n)),x)","F"
240,1,32,19,0.007000," ","int(sec(a+b*ln(c*x^n))/x,x)","\frac{\ln \left(\sec \left(a +b \ln \left(c \,x^{n}\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{n b}"," ",0,"1/n/b*ln(sec(a+b*ln(c*x^n))+tan(a+b*ln(c*x^n)))","A"
241,0,0,72,0.332000," ","int(sec(a+b*ln(c*x^n))/x^2,x)","\int \frac{\sec \left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(sec(a+b*ln(c*x^n))/x^2,x)","F"
242,0,0,72,0.389000," ","int(sec(a+b*ln(c*x^n))/x^3,x)","\int \frac{\sec \left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{3}}\, dx"," ",0,"int(sec(a+b*ln(c*x^n))/x^3,x)","F"
243,0,0,72,1.312000," ","int(x^2*sec(a+b*ln(c*x^n))^2,x)","\int x^{2} \left(\sec^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^2*sec(a+b*ln(c*x^n))^2,x)","F"
244,0,0,72,1.213000," ","int(x*sec(a+b*ln(c*x^n))^2,x)","\int x \left(\sec^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*sec(a+b*ln(c*x^n))^2,x)","F"
245,0,0,70,1.092000," ","int(sec(a+b*ln(c*x^n))^2,x)","\int \sec^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sec(a+b*ln(c*x^n))^2,x)","F"
246,1,19,18,0.047000," ","int(sec(a+b*ln(c*x^n))^2/x,x)","\frac{\tan \left(a +b \ln \left(c \,x^{n}\right)\right)}{b n}"," ",0,"tan(a+b*ln(c*x^n))/b/n","A"
247,0,0,72,1.329000," ","int(sec(a+b*ln(c*x^n))^2/x^2,x)","\int \frac{\sec^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(sec(a+b*ln(c*x^n))^2/x^2,x)","F"
248,0,0,72,1.464000," ","int(sec(a+b*ln(c*x^n))^2/x^3,x)","\int \frac{\sec^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{3}}\, dx"," ",0,"int(sec(a+b*ln(c*x^n))^2/x^3,x)","F"
249,0,0,72,1.753000," ","int(x*sec(a+b*ln(c*x^n))^3,x)","\int x \left(\sec^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*sec(a+b*ln(c*x^n))^3,x)","F"
250,0,0,70,1.543000," ","int(sec(a+b*ln(c*x^n))^3,x)","\int \sec^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sec(a+b*ln(c*x^n))^3,x)","F"
251,1,64,51,0.112000," ","int(sec(a+b*ln(c*x^n))^3/x,x)","\frac{\sec \left(a +b \ln \left(c \,x^{n}\right)\right) \tan \left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}+\frac{\ln \left(\sec \left(a +b \ln \left(c \,x^{n}\right)\right)+\tan \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{2 n b}"," ",0,"1/2*sec(a+b*ln(c*x^n))*tan(a+b*ln(c*x^n))/b/n+1/2/n/b*ln(sec(a+b*ln(c*x^n))+tan(a+b*ln(c*x^n)))","A"
252,0,0,72,1.627000," ","int(sec(a+b*ln(c*x^n))^3/x^2,x)","\int \frac{\sec^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(sec(a+b*ln(c*x^n))^3/x^2,x)","F"
253,0,0,72,1.756000," ","int(sec(a+b*ln(c*x^n))^3/x^3,x)","\int \frac{\sec^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{3}}\, dx"," ",0,"int(sec(a+b*ln(c*x^n))^3/x^3,x)","F"
254,0,0,72,1.360000," ","int(x*sec(a+b*ln(c*x^n))^4,x)","\int x \left(\sec^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*sec(a+b*ln(c*x^n))^4,x)","F"
255,0,0,70,0.763000," ","int(sec(a+b*ln(c*x^n))^4,x)","\int \sec^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sec(a+b*ln(c*x^n))^4,x)","F"
256,1,37,40,0.126000," ","int(sec(a+b*ln(c*x^n))^4/x,x)","-\frac{\left(-\frac{2}{3}-\frac{\left(\sec^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3}\right) \tan \left(a +b \ln \left(c \,x^{n}\right)\right)}{n b}"," ",0,"-1/n/b*(-2/3-1/3*sec(a+b*ln(c*x^n))^2)*tan(a+b*ln(c*x^n))","A"
257,0,0,72,1.460000," ","int(sec(a+b*ln(c*x^n))^4/x^2,x)","\int \frac{\sec^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(sec(a+b*ln(c*x^n))^4/x^2,x)","F"
258,0,0,72,0.819000," ","int(sec(a+b*ln(c*x^n))^4/x^3,x)","\int \frac{\sec^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{3}}\, dx"," ",0,"int(sec(a+b*ln(c*x^n))^4/x^3,x)","F"
259,1,525,41,0.645000," ","int(-(b^2*n^2+1)*sec(a+b*ln(c*x^n))+2*b^2*n^2*sec(a+b*ln(c*x^n))^3,x)","-\frac{2 i c^{i b} \left(x^{n}\right)^{i b} x \left(n b \,c^{2 i b} \left(x^{n}\right)^{2 i b} {\mathrm e}^{\frac{3 b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}} {\mathrm e}^{-\frac{3 b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right)}{2}} {\mathrm e}^{-\frac{3 b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{\frac{3 b \pi  \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{3 i a}-b n \,{\mathrm e}^{\frac{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}} {\mathrm e}^{-\frac{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right)}{2}} {\mathrm e}^{-\frac{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{\frac{b \pi  \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{i a}-i c^{2 i b} \left(x^{n}\right)^{2 i b} {\mathrm e}^{\frac{3 b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}} {\mathrm e}^{-\frac{3 b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right)}{2}} {\mathrm e}^{-\frac{3 b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{\frac{3 b \pi  \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{3 i a}-i {\mathrm e}^{\frac{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}} {\mathrm e}^{-\frac{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right)}{2}} {\mathrm e}^{-\frac{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{\frac{b \pi  \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{i a}\right)}{\left(\left(x^{n}\right)^{2 i b} c^{2 i b} {\mathrm e}^{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}} {\mathrm e}^{-b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right)} {\mathrm e}^{-b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right)} {\mathrm e}^{b \pi  \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)} {\mathrm e}^{2 i a}+1\right)^{2}}"," ",0,"-2*I*c^(I*b)*(x^n)^(I*b)*x/(((x^n)^(I*b))^2*(c^(I*b))^2*exp(b*Pi*csgn(I*c*x^n)^3)*exp(-b*Pi*csgn(I*c*x^n)^2*csgn(I*c))*exp(-b*Pi*csgn(I*c*x^n)^2*csgn(I*x^n))*exp(b*Pi*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n))*exp(2*I*a)+1)^2*(n*b*(c^(I*b))^2*((x^n)^(I*b))^2*exp(3/2*b*Pi*csgn(I*c*x^n)^3)*exp(-3/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*c))*exp(-3/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*x^n))*exp(3/2*b*Pi*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n))*exp(3*I*a)-b*n*exp(1/2*b*Pi*csgn(I*c*x^n)^3)*exp(-1/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*c))*exp(-1/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*x^n))*exp(1/2*b*Pi*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n))*exp(I*a)-I*(c^(I*b))^2*((x^n)^(I*b))^2*exp(3/2*b*Pi*csgn(I*c*x^n)^3)*exp(-3/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*c))*exp(-3/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*x^n))*exp(3/2*b*Pi*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n))*exp(3*I*a)-I*exp(1/2*b*Pi*csgn(I*c*x^n)^3)*exp(-1/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*c))*exp(-1/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*x^n))*exp(1/2*b*Pi*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n))*exp(I*a))","C"
260,0,0,92,0.291000," ","int(x^m*sec(a+2*ln(c*x^(1/2*(-(1+m)^2)^(1/2))))^3,x)","\int x^{m} \left(\sec^{3}\left(a +2 \ln \left(c \,x^{\frac{\sqrt{-\left(1+m \right)^{2}}}{2}}\right)\right)\right)\, dx"," ",0,"int(x^m*sec(a+2*ln(c*x^(1/2*(-(1+m)^2)^(1/2))))^3,x)","F"
261,1,209,37,0.228000," ","int(x*sec(a+2*ln(c*x^I))^3,x)","\frac{x^{2} c^{2 i} \left(x^{i}\right)^{2 i} {\mathrm e}^{\pi  \mathrm{csgn}\left(i c \,x^{i}\right)^{3}-\pi  \mathrm{csgn}\left(i c \,x^{i}\right)^{2} \mathrm{csgn}\left(i c \right)-\pi  \mathrm{csgn}\left(i c \,x^{i}\right)^{2} \mathrm{csgn}\left(i x^{i}\right)+\pi  \,\mathrm{csgn}\left(i c \,x^{i}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{i}\right)+i a}}{\left(\left(x^{i}\right)^{4 i} c^{4 i} {\mathrm e}^{2 \pi  \mathrm{csgn}\left(i c \,x^{i}\right)^{3}} {\mathrm e}^{-2 \pi  \mathrm{csgn}\left(i c \,x^{i}\right)^{2} \mathrm{csgn}\left(i c \right)} {\mathrm e}^{-2 \pi  \mathrm{csgn}\left(i c \,x^{i}\right)^{2} \mathrm{csgn}\left(i x^{i}\right)} {\mathrm e}^{2 \pi  \,\mathrm{csgn}\left(i c \,x^{i}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{i}\right)} {\mathrm e}^{2 i a}+1\right)^{2}}"," ",0,"x^2*c^(2*I)*(x^I)^(2*I)*exp(Pi*csgn(I*c*x^I)^3-Pi*csgn(I*c*x^I)^2*csgn(I*c)-Pi*csgn(I*c*x^I)^2*csgn(I*x^I)+Pi*csgn(I*c*x^I)*csgn(I*c)*csgn(I*x^I)+I*a)/(((x^I)^(2*I))^2*(c^(2*I))^2*exp(2*Pi*csgn(I*c*x^I)^3)*exp(-2*Pi*csgn(I*c*x^I)^2*csgn(I*c))*exp(-2*Pi*csgn(I*c*x^I)^2*csgn(I*x^I))*exp(2*Pi*csgn(I*c*x^I)*csgn(I*c)*csgn(I*x^I))*exp(2*I*a)+1)^2","C"
262,1,208,44,0.198000," ","int(sec(a+2*ln(c*x^(1/2*I)))^3,x)","\frac{2 x \,c^{2 i} \left(x^{\frac{i}{2}}\right)^{2 i} {\mathrm e}^{\pi  \mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right)^{3}-\pi  \mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i c \right)-\pi  \mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i x^{\frac{i}{2}}\right)+\pi  \,\mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{\frac{i}{2}}\right)+i a}}{\left(\left(x^{\frac{i}{2}}\right)^{4 i} c^{4 i} {\mathrm e}^{2 \pi  \mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right)^{3}} {\mathrm e}^{-2 \pi  \mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i c \right)} {\mathrm e}^{-2 \pi  \mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i x^{\frac{i}{2}}\right)} {\mathrm e}^{2 \pi  \,\mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{\frac{i}{2}}\right)} {\mathrm e}^{2 i a}+1\right)^{2}}"," ",0,"2*x*c^(2*I)*(x^(1/2*I))^(2*I)*exp(Pi*csgn(I*c*x^(1/2*I))^3-Pi*csgn(I*c*x^(1/2*I))^2*csgn(I*c)-Pi*csgn(I*c*x^(1/2*I))^2*csgn(I*x^(1/2*I))+Pi*csgn(I*c*x^(1/2*I))*csgn(I*c)*csgn(I*x^(1/2*I))+I*a)/(((x^(1/2*I))^(2*I))^2*(c^(2*I))^2*exp(2*Pi*csgn(I*c*x^(1/2*I))^3)*exp(-2*Pi*csgn(I*c*x^(1/2*I))^2*csgn(I*c))*exp(-2*Pi*csgn(I*c*x^(1/2*I))^2*csgn(I*x^(1/2*I)))*exp(2*Pi*csgn(I*c*x^(1/2*I))*csgn(I*c)*csgn(I*x^(1/2*I)))*exp(2*I*a)+1)^2","C"
263,1,238,40,0.204000," ","int(sec(a+2*ln(c/(x^(1/2*I))))^3,x)","\frac{2 x \left(x^{\frac{i}{2}}\right)^{-6 i} c^{6 i} {\mathrm e}^{3 \pi  \mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right)^{3}-3 \pi  \mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i c \right)-3 \pi  \mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i x^{-\frac{i}{2}}\right)+3 \pi  \,\mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{-\frac{i}{2}}\right)+3 i a}}{\left(\left(x^{\frac{i}{2}}\right)^{-4 i} c^{4 i} {\mathrm e}^{2 \pi  \mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right)^{3}} {\mathrm e}^{-2 \pi  \mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i c \right)} {\mathrm e}^{-2 \pi  \mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i x^{-\frac{i}{2}}\right)} {\mathrm e}^{2 \pi  \,\mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{-\frac{i}{2}}\right)} {\mathrm e}^{2 i a}+1\right)^{2}}"," ",0,"2*x*((x^(1/2*I))^(-2*I))^3*(c^(2*I))^3*exp(3*Pi*csgn(I*c/(x^(1/2*I)))^3-3*Pi*csgn(I*c/(x^(1/2*I)))^2*csgn(I*c)-3*Pi*csgn(I*c/(x^(1/2*I)))^2*csgn(I/(x^(1/2*I)))+3*Pi*csgn(I*c/(x^(1/2*I)))*csgn(I*c)*csgn(I/(x^(1/2*I)))+3*I*a)/(((x^(1/2*I))^(-2*I))^2*(c^(2*I))^2*exp(2*Pi*csgn(I*c/(x^(1/2*I)))^3)*exp(-2*Pi*csgn(I*c/(x^(1/2*I)))^2*csgn(I*c))*exp(-2*Pi*csgn(I*c/(x^(1/2*I)))^2*csgn(I/(x^(1/2*I))))*exp(2*Pi*csgn(I*c/(x^(1/2*I)))*csgn(I*c)*csgn(I/(x^(1/2*I))))*exp(2*I*a)+1)^2","C"
264,0,0,92,0.416000," ","int(sec(a+I*ln(c*x^n)/n/(-2+p))^p,x)","\int \sec^{p}\left(a +\frac{i \ln \left(c \,x^{n}\right)}{n \left(-2+p \right)}\right)\, dx"," ",0,"int(sec(a+I*ln(c*x^n)/n/(-2+p))^p,x)","F"
265,0,0,67,0.378000," ","int(sec(a-I*ln(c*x^n)/n/(-2+p))^p,x)","\int \sec^{p}\left(a -\frac{i \ln \left(c \,x^{n}\right)}{n \left(-2+p \right)}\right)\, dx"," ",0,"int(sec(a-I*ln(c*x^n)/n/(-2+p))^p,x)","F"
266,0,0,88,0.379000," ","int(sec(a+b*ln(c*x^n))^(1/2),x)","\int \sqrt{\sec}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sec(a+b*ln(c*x^n))^(1/2),x)","F"
267,1,181,86,0.157000," ","int(sec(a+b*ln(c*x^n))^(1/2)/x,x)","-\frac{2 \sqrt{\left(2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{\frac{1}{2}-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{2}}\, \sqrt{-2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+1}\, \EllipticF \left(\cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)}{n \sqrt{-2 \left(\sin^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sin \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"-2/n*((2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)*sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*cos(1/2*a+1/2*b*ln(c*x^n))^2+1)^(1/2)/(-2*sin(1/2*a+1/2*b*ln(c*x^n))^4+sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*EllipticF(cos(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))/sin(1/2*a+1/2*b*ln(c*x^n))/(2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"
268,0,0,88,0.115000," ","int(sec(a+b*ln(c*x^n))^(3/2),x)","\int \sec^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sec(a+b*ln(c*x^n))^(3/2),x)","F"
269,1,139,119,0.188000," ","int(sec(a+b*ln(c*x^n))^(3/2)/x,x)","-\frac{2 \left(\sqrt{\frac{1}{2}-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{2}}\, \sqrt{2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticE \left(\cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)-2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right) \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}{n \sin \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"-2/n*((sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(2*sin(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticE(cos(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))-2*sin(1/2*a+1/2*b*ln(c*x^n))^2*cos(1/2*a+1/2*b*ln(c*x^n)))/sin(1/2*a+1/2*b*ln(c*x^n))/(2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","A"
270,0,0,88,0.109000," ","int(sec(a+b*ln(c*x^n))^(5/2),x)","\int \sec^{\frac{5}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sec(a+b*ln(c*x^n))^(5/2),x)","F"
271,1,291,119,0.177000," ","int(sec(a+b*ln(c*x^n))^(5/2)/x,x)","-\frac{2 \left(-2 \sqrt{\frac{1}{2}-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{2}}\, \sqrt{2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticF \left(\cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right) \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sqrt{\frac{1}{2}-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{2}}\, \sqrt{2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticF \left(\cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)-2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right) \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right) \sqrt{\left(2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}}{3 n \sqrt{-2 \left(\sin^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \left(2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right)^{\frac{3}{2}} \sin \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) b}"," ",0,"-2/3/n*(-2*(sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(2*sin(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticF(cos(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))*sin(1/2*a+1/2*b*ln(c*x^n))^2+(sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(2*sin(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticF(cos(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))-2*sin(1/2*a+1/2*b*ln(c*x^n))^2*cos(1/2*a+1/2*b*ln(c*x^n)))*((2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)*sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/(-2*sin(1/2*a+1/2*b*ln(c*x^n))^4+sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/(2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)^(3/2)/sin(1/2*a+1/2*b*ln(c*x^n))/b","B"
272,0,0,92,0.110000," ","int(1/sec(a+b*ln(c*x^n))^(1/2),x)","\int \frac{1}{\sqrt{\sec \left(a +b \ln \left(c \,x^{n}\right)\right)}}\, dx"," ",0,"int(1/sec(a+b*ln(c*x^n))^(1/2),x)","F"
273,1,181,86,0.156000," ","int(1/x/sec(a+b*ln(c*x^n))^(1/2),x)","\frac{2 \sqrt{\left(2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \sqrt{\frac{1}{2}-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{2}}\, \sqrt{-2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+1}\, \EllipticE \left(\cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)}{n \sqrt{-2 \left(\sin^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sin \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"2/n*((2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)*sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-2*cos(1/2*a+1/2*b*ln(c*x^n))^2+1)^(1/2)*EllipticE(cos(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))/(-2*sin(1/2*a+1/2*b*ln(c*x^n))^4+sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/sin(1/2*a+1/2*b*ln(c*x^n))/(2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"
274,0,0,88,0.125000," ","int(1/sec(a+b*ln(c*x^n))^(3/2),x)","\int \frac{1}{\sec \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/sec(a+b*ln(c*x^n))^(3/2),x)","F"
275,1,247,119,0.190000," ","int(1/x/sec(a+b*ln(c*x^n))^(3/2),x)","-\frac{2 \sqrt{\left(2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \left(4 \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \left(\sin^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sqrt{\frac{1}{2}-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{2}}\, \sqrt{2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticF \left(\cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)-2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right) \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}{3 n \sqrt{-2 \left(\sin^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sin \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"-2/3/n*((2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)*sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(4*cos(1/2*a+1/2*b*ln(c*x^n))*sin(1/2*a+1/2*b*ln(c*x^n))^4+(sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(2*sin(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticF(cos(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))-2*sin(1/2*a+1/2*b*ln(c*x^n))^2*cos(1/2*a+1/2*b*ln(c*x^n)))/(-2*sin(1/2*a+1/2*b*ln(c*x^n))^4+sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/sin(1/2*a+1/2*b*ln(c*x^n))/(2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"
276,0,0,92,0.126000," ","int(1/sec(a+b*ln(c*x^n))^(5/2),x)","\int \frac{1}{\sec \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/sec(a+b*ln(c*x^n))^(5/2),x)","F"
277,1,280,119,0.185000," ","int(1/x/sec(a+b*ln(c*x^n))^(5/2),x)","-\frac{2 \sqrt{\left(2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1\right) \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}\, \left(-8 \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \left(\sin^{6}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+8 \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \left(\sin^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-3 \sqrt{\frac{1}{2}-\frac{\cos \left(a +b \ln \left(c \,x^{n}\right)\right)}{2}}\, \sqrt{2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, \EllipticE \left(\cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right), \sqrt{2}\right)-2 \left(\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right) \cos \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)}{5 n \sqrt{-2 \left(\sin^{4}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)+\sin^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)}\, \sin \left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right) \sqrt{2 \left(\cos^{2}\left(\frac{a}{2}+\frac{b \ln \left(c \,x^{n}\right)}{2}\right)\right)-1}\, b}"," ",0,"-2/5/n*((2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)*sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(-8*cos(1/2*a+1/2*b*ln(c*x^n))*sin(1/2*a+1/2*b*ln(c*x^n))^6+8*cos(1/2*a+1/2*b*ln(c*x^n))*sin(1/2*a+1/2*b*ln(c*x^n))^4-3*(sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)*(2*sin(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)*EllipticE(cos(1/2*a+1/2*b*ln(c*x^n)),2^(1/2))-2*sin(1/2*a+1/2*b*ln(c*x^n))^2*cos(1/2*a+1/2*b*ln(c*x^n)))/(-2*sin(1/2*a+1/2*b*ln(c*x^n))^4+sin(1/2*a+1/2*b*ln(c*x^n))^2)^(1/2)/sin(1/2*a+1/2*b*ln(c*x^n))/(2*cos(1/2*a+1/2*b*ln(c*x^n))^2-1)^(1/2)/b","B"
278,0,0,91,1.746000," ","int(x^m*sec(a+b*ln(c*x^n))^3,x)","\int x^{m} \left(\sec^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*sec(a+b*ln(c*x^n))^3,x)","F"
279,0,0,91,1.526000," ","int(x^m*sec(a+b*ln(c*x^n))^2,x)","\int x^{m} \left(\sec^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*sec(a+b*ln(c*x^n))^2,x)","F"
280,0,0,90,0.415000," ","int(x^m*sec(a+b*ln(c*x^n)),x)","\int x^{m} \sec \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(x^m*sec(a+b*ln(c*x^n)),x)","F"
281,0,0,111,0.125000," ","int(x^m*sec(a+b*ln(c*x^n))^(5/2),x)","\int x^{m} \left(\sec^{\frac{5}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*sec(a+b*ln(c*x^n))^(5/2),x)","F"
282,0,0,111,0.111000," ","int(x^m*sec(a+b*ln(c*x^n))^(3/2),x)","\int x^{m} \left(\sec^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*sec(a+b*ln(c*x^n))^(3/2),x)","F"
283,0,0,110,0.119000," ","int(x^m*sec(a+b*ln(c*x^n))^(1/2),x)","\int x^{m} \left(\sqrt{\sec}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*sec(a+b*ln(c*x^n))^(1/2),x)","F"
284,0,0,111,0.113000," ","int(x^m/sec(a+b*ln(c*x^n))^(1/2),x)","\int \frac{x^{m}}{\sqrt{\sec \left(a +b \ln \left(c \,x^{n}\right)\right)}}\, dx"," ",0,"int(x^m/sec(a+b*ln(c*x^n))^(1/2),x)","F"
285,0,0,110,0.112000," ","int(x^m/sec(a+b*ln(c*x^n))^(3/2),x)","\int \frac{x^{m}}{\sec \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^m/sec(a+b*ln(c*x^n))^(3/2),x)","F"
286,0,0,126,0.155000," ","int((e*x)^m*sec(d*(a+b*ln(c*x^n)))^p,x)","\int \left(e x \right)^{m} \left(\sec^{p}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*sec(d*(a+b*ln(c*x^n)))^p,x)","F"
287,0,0,95,0.115000," ","int(x*sec(a+b*ln(c*x^n))^p,x)","\int x \left(\sec^{p}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*sec(a+b*ln(c*x^n))^p,x)","F"
288,0,0,95,0.078000," ","int(sec(a+b*ln(c*x^n))^p,x)","\int \sec^{p}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(sec(a+b*ln(c*x^n))^p,x)","F"
289,0,0,71,0.580000," ","int(x^2*csc(a+b*ln(c*x^n)),x)","\int x^{2} \csc \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(x^2*csc(a+b*ln(c*x^n)),x)","F"
290,0,0,71,0.467000," ","int(x*csc(a+b*ln(c*x^n)),x)","\int x \csc \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(x*csc(a+b*ln(c*x^n)),x)","F"
291,0,0,69,0.354000," ","int(csc(a+b*ln(c*x^n)),x)","\int \csc \left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(csc(a+b*ln(c*x^n)),x)","F"
292,1,33,20,0.026000," ","int(csc(a+b*ln(c*x^n))/x,x)","-\frac{\ln \left(\csc \left(a +b \ln \left(c \,x^{n}\right)\right)+\cot \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{n b}"," ",0,"-1/n/b*ln(csc(a+b*ln(c*x^n))+cot(a+b*ln(c*x^n)))","A"
293,0,0,70,0.563000," ","int(csc(a+b*ln(c*x^n))/x^2,x)","\int \frac{\csc \left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{2}}\, dx"," ",0,"int(csc(a+b*ln(c*x^n))/x^2,x)","F"
294,0,0,70,0.664000," ","int(csc(a+b*ln(c*x^n))/x^3,x)","\int \frac{\csc \left(a +b \ln \left(c \,x^{n}\right)\right)}{x^{3}}\, dx"," ",0,"int(csc(a+b*ln(c*x^n))/x^3,x)","F"
295,0,0,69,1.387000," ","int(csc(a+b*ln(c*x^n))^2,x)","\int \csc^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(csc(a+b*ln(c*x^n))^2,x)","F"
296,1,20,19,0.043000," ","int(csc(a+b*ln(c*x^n))^2/x,x)","-\frac{\cot \left(a +b \ln \left(c \,x^{n}\right)\right)}{b n}"," ",0,"-cot(a+b*ln(c*x^n))/b/n","A"
297,0,0,69,1.886000," ","int(csc(a+b*ln(c*x^n))^3,x)","\int \csc^{3}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(csc(a+b*ln(c*x^n))^3,x)","F"
298,1,66,51,0.129000," ","int(csc(a+b*ln(c*x^n))^3/x,x)","-\frac{\cot \left(a +b \ln \left(c \,x^{n}\right)\right) \csc \left(a +b \ln \left(c \,x^{n}\right)\right)}{2 b n}+\frac{\ln \left(\csc \left(a +b \ln \left(c \,x^{n}\right)\right)-\cot \left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{2 b n}"," ",0,"-1/2*cot(a+b*ln(c*x^n))*csc(a+b*ln(c*x^n))/b/n+1/2/b/n*ln(csc(a+b*ln(c*x^n))-cot(a+b*ln(c*x^n)))","A"
299,0,0,69,0.340000," ","int(csc(a+b*ln(c*x^n))^4,x)","\int \csc^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(csc(a+b*ln(c*x^n))^4,x)","F"
300,1,36,41,0.122000," ","int(csc(a+b*ln(c*x^n))^4/x,x)","\frac{\left(-\frac{2}{3}-\frac{\left(\csc^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3}\right) \cot \left(a +b \ln \left(c \,x^{n}\right)\right)}{n b}"," ",0,"1/n/b*(-2/3-1/3*csc(a+b*ln(c*x^n))^2)*cot(a+b*ln(c*x^n))","A"
301,1,523,42,0.649000," ","int(-(b^2*n^2+1)*csc(a+b*ln(c*x^n))+2*b^2*n^2*csc(a+b*ln(c*x^n))^3,x)","\frac{2 c^{i b} \left(x^{n}\right)^{i b} x \left(n b \,c^{2 i b} \left(x^{n}\right)^{2 i b} {\mathrm e}^{\frac{3 b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}} {\mathrm e}^{-\frac{3 b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right)}{2}} {\mathrm e}^{-\frac{3 b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{\frac{3 b \pi  \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{3 i a}+b n \,{\mathrm e}^{\frac{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}} {\mathrm e}^{-\frac{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right)}{2}} {\mathrm e}^{-\frac{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{\frac{b \pi  \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{i a}-i c^{2 i b} \left(x^{n}\right)^{2 i b} {\mathrm e}^{\frac{3 b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}} {\mathrm e}^{-\frac{3 b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right)}{2}} {\mathrm e}^{-\frac{3 b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{\frac{3 b \pi  \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{3 i a}+i {\mathrm e}^{\frac{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}}{2}} {\mathrm e}^{-\frac{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right)}{2}} {\mathrm e}^{-\frac{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{\frac{b \pi  \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)}{2}} {\mathrm e}^{i a}\right)}{\left(\left(x^{n}\right)^{2 i b} c^{2 i b} {\mathrm e}^{b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{3}} {\mathrm e}^{-b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i c \right)} {\mathrm e}^{-b \pi  \mathrm{csgn}\left(i c \,x^{n}\right)^{2} \mathrm{csgn}\left(i x^{n}\right)} {\mathrm e}^{b \pi  \,\mathrm{csgn}\left(i c \,x^{n}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{n}\right)} {\mathrm e}^{2 i a}-1\right)^{2}}"," ",0,"2*c^(I*b)*(x^n)^(I*b)*x/(((x^n)^(I*b))^2*(c^(I*b))^2*exp(b*Pi*csgn(I*c*x^n)^3)*exp(-b*Pi*csgn(I*c*x^n)^2*csgn(I*c))*exp(-b*Pi*csgn(I*c*x^n)^2*csgn(I*x^n))*exp(b*Pi*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n))*exp(2*I*a)-1)^2*(n*b*(c^(I*b))^2*((x^n)^(I*b))^2*exp(3/2*b*Pi*csgn(I*c*x^n)^3)*exp(-3/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*c))*exp(-3/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*x^n))*exp(3/2*b*Pi*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n))*exp(3*I*a)+b*n*exp(1/2*b*Pi*csgn(I*c*x^n)^3)*exp(-1/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*c))*exp(-1/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*x^n))*exp(1/2*b*Pi*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n))*exp(I*a)-I*(c^(I*b))^2*((x^n)^(I*b))^2*exp(3/2*b*Pi*csgn(I*c*x^n)^3)*exp(-3/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*c))*exp(-3/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*x^n))*exp(3/2*b*Pi*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n))*exp(3*I*a)+I*exp(1/2*b*Pi*csgn(I*c*x^n)^3)*exp(-1/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*c))*exp(-1/2*b*Pi*csgn(I*c*x^n)^2*csgn(I*x^n))*exp(1/2*b*Pi*csgn(I*c*x^n)*csgn(I*c)*csgn(I*x^n))*exp(I*a))","C"
302,0,0,92,0.210000," ","int(x^m*csc(a+2*ln(c*x^(1/2*(-(1+m)^2)^(1/2))))^3,x)","\int x^{m} \left(\csc^{3}\left(a +2 \ln \left(c \,x^{\frac{\sqrt{-\left(1+m \right)^{2}}}{2}}\right)\right)\right)\, dx"," ",0,"int(x^m*csc(a+2*ln(c*x^(1/2*(-(1+m)^2)^(1/2))))^3,x)","F"
303,1,211,40,0.182000," ","int(x*csc(a+2*ln(c*x^I))^3,x)","-\frac{i x^{2} c^{2 i} \left(x^{i}\right)^{2 i} {\mathrm e}^{\pi  \mathrm{csgn}\left(i c \,x^{i}\right)^{3}-\pi  \mathrm{csgn}\left(i c \,x^{i}\right)^{2} \mathrm{csgn}\left(i c \right)-\pi  \mathrm{csgn}\left(i c \,x^{i}\right)^{2} \mathrm{csgn}\left(i x^{i}\right)+\pi  \,\mathrm{csgn}\left(i c \,x^{i}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{i}\right)+i a}}{\left(\left(x^{i}\right)^{4 i} c^{4 i} {\mathrm e}^{2 \pi  \mathrm{csgn}\left(i c \,x^{i}\right)^{3}} {\mathrm e}^{-2 \pi  \mathrm{csgn}\left(i c \,x^{i}\right)^{2} \mathrm{csgn}\left(i c \right)} {\mathrm e}^{-2 \pi  \mathrm{csgn}\left(i c \,x^{i}\right)^{2} \mathrm{csgn}\left(i x^{i}\right)} {\mathrm e}^{2 \pi  \,\mathrm{csgn}\left(i c \,x^{i}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{i}\right)} {\mathrm e}^{2 i a}-1\right)^{2}}"," ",0,"-I*x^2*c^(2*I)*(x^I)^(2*I)*exp(Pi*csgn(I*c*x^I)^3-Pi*csgn(I*c*x^I)^2*csgn(I*c)-Pi*csgn(I*c*x^I)^2*csgn(I*x^I)+Pi*csgn(I*c*x^I)*csgn(I*c)*csgn(I*x^I)+I*a)/(((x^I)^(2*I))^2*(c^(2*I))^2*exp(2*Pi*csgn(I*c*x^I)^3)*exp(-2*Pi*csgn(I*c*x^I)^2*csgn(I*c))*exp(-2*Pi*csgn(I*c*x^I)^2*csgn(I*x^I))*exp(2*Pi*csgn(I*c*x^I)*csgn(I*c)*csgn(I*x^I))*exp(2*I*a)-1)^2","C"
304,1,209,44,0.174000," ","int(csc(a+2*ln(c*x^(1/2*I)))^3,x)","-\frac{2 i x \,c^{2 i} \left(x^{\frac{i}{2}}\right)^{2 i} {\mathrm e}^{\pi  \mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right)^{3}-\pi  \mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i c \right)-\pi  \mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i x^{\frac{i}{2}}\right)+\pi  \,\mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{\frac{i}{2}}\right)+i a}}{\left(\left(x^{\frac{i}{2}}\right)^{4 i} c^{4 i} {\mathrm e}^{2 \pi  \mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right)^{3}} {\mathrm e}^{-2 \pi  \mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i c \right)} {\mathrm e}^{-2 \pi  \mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i x^{\frac{i}{2}}\right)} {\mathrm e}^{2 \pi  \,\mathrm{csgn}\left(i c \,x^{\frac{i}{2}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{\frac{i}{2}}\right)} {\mathrm e}^{2 i a}-1\right)^{2}}"," ",0,"-2*I*x*c^(2*I)*(x^(1/2*I))^(2*I)*exp(Pi*csgn(I*c*x^(1/2*I))^3-Pi*csgn(I*c*x^(1/2*I))^2*csgn(I*c)-Pi*csgn(I*c*x^(1/2*I))^2*csgn(I*x^(1/2*I))+Pi*csgn(I*c*x^(1/2*I))*csgn(I*c)*csgn(I*x^(1/2*I))+I*a)/(((x^(1/2*I))^(2*I))^2*(c^(2*I))^2*exp(2*Pi*csgn(I*c*x^(1/2*I))^3)*exp(-2*Pi*csgn(I*c*x^(1/2*I))^2*csgn(I*c))*exp(-2*Pi*csgn(I*c*x^(1/2*I))^2*csgn(I*x^(1/2*I)))*exp(2*Pi*csgn(I*c*x^(1/2*I))*csgn(I*c)*csgn(I*x^(1/2*I)))*exp(2*I*a)-1)^2","C"
305,1,239,42,0.183000," ","int(csc(a+2*ln(c/(x^(1/2*I))))^3,x)","\frac{2 i x \left(x^{\frac{i}{2}}\right)^{-6 i} c^{6 i} {\mathrm e}^{3 \pi  \mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right)^{3}-3 \pi  \mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i c \right)-3 \pi  \mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i x^{-\frac{i}{2}}\right)+3 \pi  \,\mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{-\frac{i}{2}}\right)+3 i a}}{\left(\left(x^{\frac{i}{2}}\right)^{-4 i} c^{4 i} {\mathrm e}^{2 \pi  \mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right)^{3}} {\mathrm e}^{-2 \pi  \mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i c \right)} {\mathrm e}^{-2 \pi  \mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right)^{2} \mathrm{csgn}\left(i x^{-\frac{i}{2}}\right)} {\mathrm e}^{2 \pi  \,\mathrm{csgn}\left(i c \,x^{-\frac{i}{2}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x^{-\frac{i}{2}}\right)} {\mathrm e}^{2 i a}-1\right)^{2}}"," ",0,"2*I*x*((x^(1/2*I))^(-2*I))^3*(c^(2*I))^3*exp(3*Pi*csgn(I*c/(x^(1/2*I)))^3-3*Pi*csgn(I*c/(x^(1/2*I)))^2*csgn(I*c)-3*Pi*csgn(I*c/(x^(1/2*I)))^2*csgn(I/(x^(1/2*I)))+3*Pi*csgn(I*c/(x^(1/2*I)))*csgn(I*c)*csgn(I/(x^(1/2*I)))+3*I*a)/(((x^(1/2*I))^(-2*I))^2*(c^(2*I))^2*exp(2*Pi*csgn(I*c/(x^(1/2*I)))^3)*exp(-2*Pi*csgn(I*c/(x^(1/2*I)))^2*csgn(I*c))*exp(-2*Pi*csgn(I*c/(x^(1/2*I)))^2*csgn(I/(x^(1/2*I))))*exp(2*Pi*csgn(I*c/(x^(1/2*I)))*csgn(I*c)*csgn(I/(x^(1/2*I))))*exp(2*I*a)-1)^2","C"
306,0,0,93,0.249000," ","int(csc(a+I*ln(c*x^n)/n/(-2+p))^p,x)","\int \csc^{p}\left(a +\frac{i \ln \left(c \,x^{n}\right)}{n \left(-2+p \right)}\right)\, dx"," ",0,"int(csc(a+I*ln(c*x^n)/n/(-2+p))^p,x)","F"
307,0,0,68,0.242000," ","int(csc(a-I*ln(c*x^n)/n/(-2+p))^p,x)","\int \csc^{p}\left(a -\frac{i \ln \left(c \,x^{n}\right)}{n \left(-2+p \right)}\right)\, dx"," ",0,"int(csc(a-I*ln(c*x^n)/n/(-2+p))^p,x)","F"
308,0,0,88,0.215000," ","int(csc(a+b*ln(c*x^n))^(1/2),x)","\int \sqrt{\csc}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(csc(a+b*ln(c*x^n))^(1/2),x)","F"
309,1,102,95,0.124000," ","int(csc(a+b*ln(c*x^n))^(1/2)/x,x)","\frac{\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)}{n \cos \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*EllipticF((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2))/cos(a+b*ln(c*x^n))/sin(a+b*ln(c*x^n))^(1/2)/b","A"
310,0,0,88,0.158000," ","int(csc(a+b*ln(c*x^n))^(3/2),x)","\int \csc^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(csc(a+b*ln(c*x^n))^(3/2),x)","F"
311,1,190,128,0.167000," ","int(csc(a+b*ln(c*x^n))^(3/2)/x,x)","\frac{2 \sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticE \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)-\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)-2 \left(\cos^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{n \cos \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(2*(sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*EllipticE((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2))-(sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*EllipticF((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2))-2*cos(a+b*ln(c*x^n))^2)/cos(a+b*ln(c*x^n))/sin(a+b*ln(c*x^n))^(1/2)/b","A"
312,0,0,88,0.154000," ","int(csc(a+b*ln(c*x^n))^(5/2),x)","\int \csc^{\frac{5}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(csc(a+b*ln(c*x^n))^(5/2),x)","F"
313,1,131,128,0.161000," ","int(csc(a+b*ln(c*x^n))^(5/2)/x,x)","\frac{\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right) \sin \left(a +b \ln \left(c \,x^{n}\right)\right)-2 \left(\cos^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3 n \sin \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}} \cos \left(a +b \ln \left(c \,x^{n}\right)\right) b}"," ",0,"1/3/n/sin(a+b*ln(c*x^n))^(3/2)*((sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*EllipticF((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2))*sin(a+b*ln(c*x^n))-2*cos(a+b*ln(c*x^n))^2)/cos(a+b*ln(c*x^n))/b","A"
314,0,0,92,0.148000," ","int(1/csc(a+b*ln(c*x^n))^(1/2),x)","\int \frac{1}{\sqrt{\csc \left(a +b \ln \left(c \,x^{n}\right)\right)}}\, dx"," ",0,"int(1/csc(a+b*ln(c*x^n))^(1/2),x)","F"
315,1,129,95,0.159000," ","int(1/x/csc(a+b*ln(c*x^n))^(1/2),x)","-\frac{\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \left(2 \EllipticE \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)-\EllipticF \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)\right)}{n \cos \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"-1/n*(sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*(2*EllipticE((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2))-EllipticF((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2)))/cos(a+b*ln(c*x^n))/sin(a+b*ln(c*x^n))^(1/2)/b","A"
316,0,0,88,0.146000," ","int(1/csc(a+b*ln(c*x^n))^(3/2),x)","\int \frac{1}{\csc \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/csc(a+b*ln(c*x^n))^(3/2),x)","F"
317,1,131,128,0.167000," ","int(1/x/csc(a+b*ln(c*x^n))^(3/2),x)","\frac{\frac{\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)}{3}-\frac{2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right) \left(\cos^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{3}}{n \cos \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(1/3*(sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*EllipticF((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2))-2/3*sin(a+b*ln(c*x^n))*cos(a+b*ln(c*x^n))^2)/cos(a+b*ln(c*x^n))/sin(a+b*ln(c*x^n))^(1/2)/b","A"
318,0,0,92,0.156000," ","int(1/csc(a+b*ln(c*x^n))^(5/2),x)","\int \frac{1}{\csc \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/csc(a+b*ln(c*x^n))^(5/2),x)","F"
319,1,205,128,0.180000," ","int(1/x/csc(a+b*ln(c*x^n))^(5/2),x)","\frac{\frac{2 \left(\sin^{4}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{5}-\frac{2 \left(\sin^{2}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)}{5}-\frac{6 \sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticE \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{3 \sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}\, \sqrt{-2 \sin \left(a +b \ln \left(c \,x^{n}\right)\right)+2}\, \sqrt{-\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, \EllipticF \left(\sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)+1}, \frac{\sqrt{2}}{2}\right)}{5}}{n \cos \left(a +b \ln \left(c \,x^{n}\right)\right) \sqrt{\sin \left(a +b \ln \left(c \,x^{n}\right)\right)}\, b}"," ",0,"1/n*(2/5*sin(a+b*ln(c*x^n))^4-2/5*sin(a+b*ln(c*x^n))^2-6/5*(sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*EllipticE((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2))+3/5*(sin(a+b*ln(c*x^n))+1)^(1/2)*(-2*sin(a+b*ln(c*x^n))+2)^(1/2)*(-sin(a+b*ln(c*x^n)))^(1/2)*EllipticF((sin(a+b*ln(c*x^n))+1)^(1/2),1/2*2^(1/2)))/cos(a+b*ln(c*x^n))/sin(a+b*ln(c*x^n))^(1/2)/b","A"
320,0,0,111,5.474000," ","int((e*x)^m*csc(d*(a+b*ln(c*x^n)))^3,x)","\int \left(e x \right)^{m} \left(\csc^{3}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*csc(d*(a+b*ln(c*x^n)))^3,x)","F"
321,0,0,108,2.181000," ","int((e*x)^m*csc(d*(a+b*ln(c*x^n)))^2,x)","\int \left(e x \right)^{m} \left(\csc^{2}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*csc(d*(a+b*ln(c*x^n)))^2,x)","F"
322,0,0,110,1.115000," ","int((e*x)^m*csc(d*(a+b*ln(c*x^n))),x)","\int \left(e x \right)^{m} \csc \left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int((e*x)^m*csc(d*(a+b*ln(c*x^n))),x)","F"
323,0,0,111,0.207000," ","int(x^m*csc(a+b*ln(c*x^n))^(5/2),x)","\int x^{m} \left(\csc^{\frac{5}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*csc(a+b*ln(c*x^n))^(5/2),x)","F"
324,0,0,111,0.159000," ","int(x^m*csc(a+b*ln(c*x^n))^(3/2),x)","\int x^{m} \left(\csc^{\frac{3}{2}}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*csc(a+b*ln(c*x^n))^(3/2),x)","F"
325,0,0,110,0.171000," ","int(x^m*csc(a+b*ln(c*x^n))^(1/2),x)","\int x^{m} \left(\sqrt{\csc}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x^m*csc(a+b*ln(c*x^n))^(1/2),x)","F"
326,0,0,111,0.159000," ","int(x^m/csc(a+b*ln(c*x^n))^(1/2),x)","\int \frac{x^{m}}{\sqrt{\csc \left(a +b \ln \left(c \,x^{n}\right)\right)}}\, dx"," ",0,"int(x^m/csc(a+b*ln(c*x^n))^(1/2),x)","F"
327,0,0,110,0.163000," ","int(x^m/csc(a+b*ln(c*x^n))^(3/2),x)","\int \frac{x^{m}}{\csc \left(a +b \ln \left(c \,x^{n}\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^m/csc(a+b*ln(c*x^n))^(3/2),x)","F"
328,0,0,126,0.197000," ","int((e*x)^m*csc(d*(a+b*ln(c*x^n)))^p,x)","\int \left(e x \right)^{m} \left(\csc^{p}\left(d \left(a +b \ln \left(c \,x^{n}\right)\right)\right)\right)\, dx"," ",0,"int((e*x)^m*csc(d*(a+b*ln(c*x^n)))^p,x)","F"
329,0,0,95,0.167000," ","int(x*csc(a+b*ln(c*x^n))^p,x)","\int x \left(\csc^{p}\left(a +b \ln \left(c \,x^{n}\right)\right)\right)\, dx"," ",0,"int(x*csc(a+b*ln(c*x^n))^p,x)","F"
330,0,0,95,0.128000," ","int(csc(a+b*ln(c*x^n))^p,x)","\int \csc^{p}\left(a +b \ln \left(c \,x^{n}\right)\right)\, dx"," ",0,"int(csc(a+b*ln(c*x^n))^p,x)","F"