1,0,0,115,1.207000," ","int(x^5*(a+b*csc(d*x^2+c)),x)","\int x^{5} \left(a +b \csc \left(d \,x^{2}+c \right)\right)\, dx"," ",0,"int(x^5*(a+b*csc(d*x^2+c)),x)","F"
2,0,0,23,1.243000," ","int(x^4*(a+b*csc(d*x^2+c)),x)","\int x^{4} \left(a +b \csc \left(d \,x^{2}+c \right)\right)\, dx"," ",0,"int(x^4*(a+b*csc(d*x^2+c)),x)","F"
3,0,0,70,1.220000," ","int(x^3*(a+b*csc(d*x^2+c)),x)","\int x^{3} \left(a +b \csc \left(d \,x^{2}+c \right)\right)\, dx"," ",0,"int(x^3*(a+b*csc(d*x^2+c)),x)","F"
4,0,0,23,1.261000," ","int(x^2*(a+b*csc(d*x^2+c)),x)","\int x^{2} \left(a +b \csc \left(d \,x^{2}+c \right)\right)\, dx"," ",0,"int(x^2*(a+b*csc(d*x^2+c)),x)","F"
5,1,39,22,0.125000," ","int(x*(a+b*csc(d*x^2+c)),x)","\frac{a \,x^{2}}{2}-\frac{b \ln \left(\csc \left(d \,x^{2}+c \right)+\cot \left(d \,x^{2}+c \right)\right)}{2 d}+\frac{c a}{2 d}"," ",0,"1/2*a*x^2-1/2/d*b*ln(csc(d*x^2+c)+cot(d*x^2+c))+1/2/d*c*a","A"
6,0,0,21,0.916000," ","int((a+b*csc(d*x^2+c))/x,x)","\int \frac{a +b \csc \left(d \,x^{2}+c \right)}{x}\, dx"," ",0,"int((a+b*csc(d*x^2+c))/x,x)","F"
7,0,0,23,1.077000," ","int((a+b*csc(d*x^2+c))/x^2,x)","\int \frac{a +b \csc \left(d \,x^{2}+c \right)}{x^{2}}\, dx"," ",0,"int((a+b*csc(d*x^2+c))/x^2,x)","F"
8,0,0,202,2.691000," ","int(x^5*(a+b*csc(d*x^2+c))^2,x)","\int x^{5} \left(a +b \csc \left(d \,x^{2}+c \right)\right)^{2}\, dx"," ",0,"int(x^5*(a+b*csc(d*x^2+c))^2,x)","F"
9,0,0,20,2.457000," ","int(x^4*(a+b*csc(d*x^2+c))^2,x)","\int x^{4} \left(a +b \csc \left(d \,x^{2}+c \right)\right)^{2}\, dx"," ",0,"int(x^4*(a+b*csc(d*x^2+c))^2,x)","F"
10,0,0,111,2.621000," ","int(x^3*(a+b*csc(d*x^2+c))^2,x)","\int x^{3} \left(a +b \csc \left(d \,x^{2}+c \right)\right)^{2}\, dx"," ",0,"int(x^3*(a+b*csc(d*x^2+c))^2,x)","F"
11,0,0,20,2.030000," ","int(x^2*(a+b*csc(d*x^2+c))^2,x)","\int x^{2} \left(a +b \csc \left(d \,x^{2}+c \right)\right)^{2}\, dx"," ",0,"int(x^2*(a+b*csc(d*x^2+c))^2,x)","F"
12,1,61,41,0.790000," ","int(x*(a+b*csc(d*x^2+c))^2,x)","\frac{a^{2} x^{2}}{2}-\frac{b^{2} \cot \left(d \,x^{2}+c \right)}{2 d}+\frac{a b \ln \left(\csc \left(d \,x^{2}+c \right)-\cot \left(d \,x^{2}+c \right)\right)}{d}+\frac{a^{2} c}{2 d}"," ",0,"1/2*a^2*x^2-1/2*b^2*cot(d*x^2+c)/d+1/d*a*b*ln(csc(d*x^2+c)-cot(d*x^2+c))+1/2/d*a^2*c","A"
13,0,0,20,2.241000," ","int((a+b*csc(d*x^2+c))^2/x,x)","\int \frac{\left(a +b \csc \left(d \,x^{2}+c \right)\right)^{2}}{x}\, dx"," ",0,"int((a+b*csc(d*x^2+c))^2/x,x)","F"
14,0,0,20,2.273000," ","int((a+b*csc(d*x^2+c))^2/x^2,x)","\int \frac{\left(a +b \csc \left(d \,x^{2}+c \right)\right)^{2}}{x^{2}}\, dx"," ",0,"int((a+b*csc(d*x^2+c))^2/x^2,x)","F"
15,1,94,82,0.863000," ","int(x*csc(b*x^2+a)^7,x)","-\frac{\cot \left(b \,x^{2}+a \right) \left(\csc^{5}\left(b \,x^{2}+a \right)\right)}{12 b}-\frac{5 \cot \left(b \,x^{2}+a \right) \left(\csc^{3}\left(b \,x^{2}+a \right)\right)}{48 b}-\frac{5 \cot \left(b \,x^{2}+a \right) \csc \left(b \,x^{2}+a \right)}{32 b}+\frac{5 \ln \left(\csc \left(b \,x^{2}+a \right)-\cot \left(b \,x^{2}+a \right)\right)}{32 b}"," ",0,"-1/12*cot(b*x^2+a)*csc(b*x^2+a)^5/b-5/48*cot(b*x^2+a)*csc(b*x^2+a)^3/b-5/32*cot(b*x^2+a)*csc(b*x^2+a)/b+5/32/b*ln(csc(b*x^2+a)-cot(b*x^2+a))","A"
16,0,0,344,2.177000," ","int(x^5/(a+b*csc(d*x^2+c)),x)","\int \frac{x^{5}}{a +b \csc \left(d \,x^{2}+c \right)}\, dx"," ",0,"int(x^5/(a+b*csc(d*x^2+c)),x)","F"
17,0,0,20,1.716000," ","int(x^4/(a+b*csc(d*x^2+c)),x)","\int \frac{x^{4}}{a +b \csc \left(d \,x^{2}+c \right)}\, dx"," ",0,"int(x^4/(a+b*csc(d*x^2+c)),x)","F"
18,0,0,231,1.404000," ","int(x^3/(a+b*csc(d*x^2+c)),x)","\int \frac{x^{3}}{a +b \csc \left(d \,x^{2}+c \right)}\, dx"," ",0,"int(x^3/(a+b*csc(d*x^2+c)),x)","F"
19,0,0,20,1.366000," ","int(x^2/(a+b*csc(d*x^2+c)),x)","\int \frac{x^{2}}{a +b \csc \left(d \,x^{2}+c \right)}\, dx"," ",0,"int(x^2/(a+b*csc(d*x^2+c)),x)","F"
20,1,73,56,0.666000," ","int(x/(a+b*csc(d*x^2+c)),x)","-\frac{b \arctan \left(\frac{2 b \tan \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)+2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{d a \sqrt{-a^{2}+b^{2}}}+\frac{\arctan \left(\tan \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)\right)}{d a}"," ",0,"-1/d/a*b/(-a^2+b^2)^(1/2)*arctan(1/2*(2*b*tan(1/2*d*x^2+1/2*c)+2*a)/(-a^2+b^2)^(1/2))+1/d/a*arctan(tan(1/2*d*x^2+1/2*c))","A"
21,0,0,20,0.924000," ","int(1/x/(a+b*csc(d*x^2+c)),x)","\int \frac{1}{x \left(a +b \csc \left(d \,x^{2}+c \right)\right)}\, dx"," ",0,"int(1/x/(a+b*csc(d*x^2+c)),x)","F"
22,0,0,23,0.047000," ","int((a+b*csc(d*x^2+c))/x^2,x)","\int \frac{a +b \csc \left(d \,x^{2}+c \right)}{x^{2}}\, dx"," ",0,"int((a+b*csc(d*x^2+c))/x^2,x)","F"
23,0,0,999,3.862000," ","int(x^5/(a+b*csc(d*x^2+c))^2,x)","\int \frac{x^{5}}{\left(a +b \csc \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(x^5/(a+b*csc(d*x^2+c))^2,x)","F"
24,0,0,20,3.057000," ","int(x^4/(a+b*csc(d*x^2+c))^2,x)","\int \frac{x^{4}}{\left(a +b \csc \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(x^4/(a+b*csc(d*x^2+c))^2,x)","F"
25,0,0,542,3.213000," ","int(x^3/(a+b*csc(d*x^2+c))^2,x)","\int \frac{x^{3}}{\left(a +b \csc \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(x^3/(a+b*csc(d*x^2+c))^2,x)","F"
26,0,0,20,2.198000," ","int(x^2/(a+b*csc(d*x^2+c))^2,x)","\int \frac{x^{2}}{\left(a +b \csc \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(x^2/(a+b*csc(d*x^2+c))^2,x)","F"
27,1,261,111,0.772000," ","int(x/(a+b*csc(d*x^2+c))^2,x)","-\frac{b \tan \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)}{d \left(\left(\tan^{2}\left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)\right) b +2 a \tan \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)+b \right) \left(a^{2}-b^{2}\right)}-\frac{b^{2}}{d a \left(\left(\tan^{2}\left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)\right) b +2 a \tan \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)+b \right) \left(a^{2}-b^{2}\right)}-\frac{2 b \arctan \left(\frac{2 b \tan \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)+2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{d \left(a^{2}-b^{2}\right) \sqrt{-a^{2}+b^{2}}}+\frac{b^{3} \arctan \left(\frac{2 b \tan \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)+2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{d \,a^{2} \left(a^{2}-b^{2}\right) \sqrt{-a^{2}+b^{2}}}+\frac{\arctan \left(\tan \left(\frac{d \,x^{2}}{2}+\frac{c}{2}\right)\right)}{d \,a^{2}}"," ",0,"-1/d*b/(tan(1/2*d*x^2+1/2*c)^2*b+2*a*tan(1/2*d*x^2+1/2*c)+b)/(a^2-b^2)*tan(1/2*d*x^2+1/2*c)-1/d*b^2/a/(tan(1/2*d*x^2+1/2*c)^2*b+2*a*tan(1/2*d*x^2+1/2*c)+b)/(a^2-b^2)-2/d*b/(a^2-b^2)/(-a^2+b^2)^(1/2)*arctan(1/2*(2*b*tan(1/2*d*x^2+1/2*c)+2*a)/(-a^2+b^2)^(1/2))+1/d*b^3/a^2/(a^2-b^2)/(-a^2+b^2)^(1/2)*arctan(1/2*(2*b*tan(1/2*d*x^2+1/2*c)+2*a)/(-a^2+b^2)^(1/2))+1/d/a^2*arctan(tan(1/2*d*x^2+1/2*c))","B"
28,0,0,20,2.479000," ","int(1/x/(a+b*csc(d*x^2+c))^2,x)","\int \frac{1}{x \left(a +b \csc \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(1/x/(a+b*csc(d*x^2+c))^2,x)","F"
29,0,0,20,2.967000," ","int(1/x^2/(a+b*csc(d*x^2+c))^2,x)","\int \frac{1}{x^{2} \left(a +b \csc \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(1/x^2/(a+b*csc(d*x^2+c))^2,x)","F"
30,0,0,20,3.134000," ","int(1/x^3/(a+b*csc(d*x^2+c))^2,x)","\int \frac{1}{x^{3} \left(a +b \csc \left(d \,x^{2}+c \right)\right)^{2}}\, dx"," ",0,"int(1/x^3/(a+b*csc(d*x^2+c))^2,x)","F"
31,0,0,348,2.041000," ","int(x^3*(a+b*csc(c+d*x^(1/2))),x)","\int x^{3} \left(a +b \csc \left(c +d \sqrt{x}\right)\right)\, dx"," ",0,"int(x^3*(a+b*csc(c+d*x^(1/2))),x)","F"
32,0,0,254,1.577000," ","int(x^2*(a+b*csc(c+d*x^(1/2))),x)","\int x^{2} \left(a +b \csc \left(c +d \sqrt{x}\right)\right)\, dx"," ",0,"int(x^2*(a+b*csc(c+d*x^(1/2))),x)","F"
33,0,0,160,1.722000," ","int(x*(a+b*csc(c+d*x^(1/2))),x)","\int x \left(a +b \csc \left(c +d \sqrt{x}\right)\right)\, dx"," ",0,"int(x*(a+b*csc(c+d*x^(1/2))),x)","F"
34,0,0,21,2.002000," ","int((a+b*csc(c+d*x^(1/2)))/x,x)","\int \frac{a +b \csc \left(c +d \sqrt{x}\right)}{x}\, dx"," ",0,"int((a+b*csc(c+d*x^(1/2)))/x,x)","F"
35,0,0,23,2.058000," ","int((a+b*csc(c+d*x^(1/2)))/x^2,x)","\int \frac{a +b \csc \left(c +d \sqrt{x}\right)}{x^{2}}\, dx"," ",0,"int((a+b*csc(c+d*x^(1/2)))/x^2,x)","F"
36,0,0,565,4.309000," ","int(x^3*(a+b*csc(c+d*x^(1/2)))^2,x)","\int x^{3} \left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}\, dx"," ",0,"int(x^3*(a+b*csc(c+d*x^(1/2)))^2,x)","F"
37,0,0,418,4.128000," ","int(x^2*(a+b*csc(c+d*x^(1/2)))^2,x)","\int x^{2} \left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}\, dx"," ",0,"int(x^2*(a+b*csc(c+d*x^(1/2)))^2,x)","F"
38,0,0,271,3.578000," ","int(x*(a+b*csc(c+d*x^(1/2)))^2,x)","\int x \left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}\, dx"," ",0,"int(x*(a+b*csc(c+d*x^(1/2)))^2,x)","F"
39,0,0,20,3.405000," ","int((a+b*csc(c+d*x^(1/2)))^2/x,x)","\int \frac{\left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}}{x}\, dx"," ",0,"int((a+b*csc(c+d*x^(1/2)))^2/x,x)","F"
40,0,0,20,3.404000," ","int((a+b*csc(c+d*x^(1/2)))^2/x^2,x)","\int \frac{\left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}}{x^{2}}\, dx"," ",0,"int((a+b*csc(c+d*x^(1/2)))^2/x^2,x)","F"
41,0,0,905,1.785000," ","int(x^3/(a+b*csc(c+d*x^(1/2))),x)","\int \frac{x^{3}}{a +b \csc \left(c +d \sqrt{x}\right)}\, dx"," ",0,"int(x^3/(a+b*csc(c+d*x^(1/2))),x)","F"
42,0,0,679,1.965000," ","int(x^2/(a+b*csc(c+d*x^(1/2))),x)","\int \frac{x^{2}}{a +b \csc \left(c +d \sqrt{x}\right)}\, dx"," ",0,"int(x^2/(a+b*csc(c+d*x^(1/2))),x)","F"
43,0,0,453,2.273000," ","int(x/(a+b*csc(c+d*x^(1/2))),x)","\int \frac{x}{a +b \csc \left(c +d \sqrt{x}\right)}\, dx"," ",0,"int(x/(a+b*csc(c+d*x^(1/2))),x)","F"
44,0,0,20,2.150000," ","int(1/x/(a+b*csc(c+d*x^(1/2))),x)","\int \frac{1}{x \left(a +b \csc \left(c +d \sqrt{x}\right)\right)}\, dx"," ",0,"int(1/x/(a+b*csc(c+d*x^(1/2))),x)","F"
45,0,0,23,0.042000," ","int((a+b*csc(c+d*x^(1/2)))/x^2,x)","\int \frac{a +b \csc \left(c +d \sqrt{x}\right)}{x^{2}}\, dx"," ",0,"int((a+b*csc(c+d*x^(1/2)))/x^2,x)","F"
46,0,0,2742,3.015000," ","int(x^3/(a+b*csc(c+d*x^(1/2)))^2,x)","\int \frac{x^{3}}{\left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(x^3/(a+b*csc(c+d*x^(1/2)))^2,x)","F"
47,0,0,2040,2.924000," ","int(x^2/(a+b*csc(c+d*x^(1/2)))^2,x)","\int \frac{x^{2}}{\left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(x^2/(a+b*csc(c+d*x^(1/2)))^2,x)","F"
48,0,0,1338,2.583000," ","int(x/(a+b*csc(c+d*x^(1/2)))^2,x)","\int \frac{x}{\left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(x/(a+b*csc(c+d*x^(1/2)))^2,x)","F"
49,0,0,20,3.058000," ","int(1/x/(a+b*csc(c+d*x^(1/2)))^2,x)","\int \frac{1}{x \left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(1/x/(a+b*csc(c+d*x^(1/2)))^2,x)","F"
50,0,0,20,3.015000," ","int(1/x^2/(a+b*csc(c+d*x^(1/2)))^2,x)","\int \frac{1}{x^{2} \left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(1/x^2/(a+b*csc(c+d*x^(1/2)))^2,x)","F"
51,0,0,206,2.121000," ","int(x^(3/2)*(a+b*csc(c+d*x^(1/2))),x)","\int x^{\frac{3}{2}} \left(a +b \csc \left(c +d \sqrt{x}\right)\right)\, dx"," ",0,"int(x^(3/2)*(a+b*csc(c+d*x^(1/2))),x)","F"
52,0,0,114,1.623000," ","int((a+b*csc(c+d*x^(1/2)))*x^(1/2),x)","\int \left(a +b \csc \left(c +d \sqrt{x}\right)\right) \sqrt{x}\, dx"," ",0,"int((a+b*csc(c+d*x^(1/2)))*x^(1/2),x)","F"
53,1,32,22,0.451000," ","int((a+b*csc(c+d*x^(1/2)))/x^(1/2),x)","2 a \sqrt{x}-\frac{2 b \ln \left(\csc \left(c +d \sqrt{x}\right)+\cot \left(c +d \sqrt{x}\right)\right)}{d}"," ",0,"2*a*x^(1/2)-2*b/d*ln(csc(c+d*x^(1/2))+cot(c+d*x^(1/2)))","A"
54,0,0,23,2.099000," ","int((a+b*csc(c+d*x^(1/2)))/x^(3/2),x)","\int \frac{a +b \csc \left(c +d \sqrt{x}\right)}{x^{\frac{3}{2}}}\, dx"," ",0,"int((a+b*csc(c+d*x^(1/2)))/x^(3/2),x)","F"
55,0,0,23,2.109000," ","int((a+b*csc(c+d*x^(1/2)))/x^(5/2),x)","\int \frac{a +b \csc \left(c +d \sqrt{x}\right)}{x^{\frac{5}{2}}}\, dx"," ",0,"int((a+b*csc(c+d*x^(1/2)))/x^(5/2),x)","F"
56,0,0,344,4.521000," ","int(x^(3/2)*(a+b*csc(c+d*x^(1/2)))^2,x)","\int x^{\frac{3}{2}} \left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}\, dx"," ",0,"int(x^(3/2)*(a+b*csc(c+d*x^(1/2)))^2,x)","F"
57,0,0,197,4.087000," ","int((a+b*csc(c+d*x^(1/2)))^2*x^(1/2),x)","\int \left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2} \sqrt{x}\, dx"," ",0,"int((a+b*csc(c+d*x^(1/2)))^2*x^(1/2),x)","F"
58,1,62,41,1.129000," ","int((a+b*csc(c+d*x^(1/2)))^2/x^(1/2),x)","2 a^{2} \sqrt{x}-\frac{2 b^{2} \cot \left(c +d \sqrt{x}\right)}{d}+\frac{4 a b \ln \left(\csc \left(c +d \sqrt{x}\right)-\cot \left(c +d \sqrt{x}\right)\right)}{d}+\frac{2 a^{2} c}{d}"," ",0,"2*a^2*x^(1/2)-2*b^2*cot(c+d*x^(1/2))/d+4/d*a*b*ln(csc(c+d*x^(1/2))-cot(c+d*x^(1/2)))+2/d*a^2*c","A"
59,0,0,20,3.533000," ","int((a+b*csc(c+d*x^(1/2)))^2/x^(3/2),x)","\int \frac{\left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}}{x^{\frac{3}{2}}}\, dx"," ",0,"int((a+b*csc(c+d*x^(1/2)))^2/x^(3/2),x)","F"
60,0,0,20,3.546000," ","int((a+b*csc(c+d*x^(1/2)))^2/x^(5/2),x)","\int \frac{\left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}}{x^{\frac{5}{2}}}\, dx"," ",0,"int((a+b*csc(c+d*x^(1/2)))^2/x^(5/2),x)","F"
61,1,24,18,0.800000," ","int(csc(x^(1/2))^3/x^(1/2),x)","-\cot \left(\sqrt{x}\right) \csc \left(\sqrt{x}\right)+\ln \left(\csc \left(\sqrt{x}\right)-\cot \left(\sqrt{x}\right)\right)"," ",0,"-cot(x^(1/2))*csc(x^(1/2))+ln(csc(x^(1/2))-cot(x^(1/2)))","A"
62,0,0,567,1.882000," ","int(x^(3/2)/(a+b*csc(c+d*x^(1/2))),x)","\int \frac{x^{\frac{3}{2}}}{a +b \csc \left(c +d \sqrt{x}\right)}\, dx"," ",0,"int(x^(3/2)/(a+b*csc(c+d*x^(1/2))),x)","F"
63,0,0,341,2.199000," ","int(x^(1/2)/(a+b*csc(c+d*x^(1/2))),x)","\int \frac{\sqrt{x}}{a +b \csc \left(c +d \sqrt{x}\right)}\, dx"," ",0,"int(x^(1/2)/(a+b*csc(c+d*x^(1/2))),x)","F"
64,1,74,57,1.566000," ","int(1/(a+b*csc(c+d*x^(1/2)))/x^(1/2),x)","-\frac{4 b \arctan \left(\frac{2 b \tan \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)+2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{d a \sqrt{-a^{2}+b^{2}}}+\frac{4 \arctan \left(\tan \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)\right)}{d a}"," ",0,"-4/d/a*b/(-a^2+b^2)^(1/2)*arctan(1/2*(2*b*tan(1/2*c+1/2*d*x^(1/2))+2*a)/(-a^2+b^2)^(1/2))+4/d/a*arctan(tan(1/2*c+1/2*d*x^(1/2)))","A"
65,0,0,20,2.230000," ","int(1/x^(3/2)/(a+b*csc(c+d*x^(1/2))),x)","\int \frac{1}{x^{\frac{3}{2}} \left(a +b \csc \left(c +d \sqrt{x}\right)\right)}\, dx"," ",0,"int(1/x^(3/2)/(a+b*csc(c+d*x^(1/2))),x)","F"
66,0,0,20,1.983000," ","int(1/x^(5/2)/(a+b*csc(c+d*x^(1/2))),x)","\int \frac{1}{x^{\frac{5}{2}} \left(a +b \csc \left(c +d \sqrt{x}\right)\right)}\, dx"," ",0,"int(1/x^(5/2)/(a+b*csc(c+d*x^(1/2))),x)","F"
67,0,0,1692,3.151000," ","int(x^(3/2)/(a+b*csc(c+d*x^(1/2)))^2,x)","\int \frac{x^{\frac{3}{2}}}{\left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(x^(3/2)/(a+b*csc(c+d*x^(1/2)))^2,x)","F"
68,0,0,990,2.753000," ","int(x^(1/2)/(a+b*csc(c+d*x^(1/2)))^2,x)","\int \frac{\sqrt{x}}{\left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(x^(1/2)/(a+b*csc(c+d*x^(1/2)))^2,x)","F"
69,1,263,112,1.534000," ","int(1/(a+b*csc(c+d*x^(1/2)))^2/x^(1/2),x)","-\frac{4 b \tan \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)}{d \left(\left(\tan^{2}\left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)\right) b +2 a \tan \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)+b \right) \left(a^{2}-b^{2}\right)}-\frac{4 b^{2}}{d a \left(\left(\tan^{2}\left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)\right) b +2 a \tan \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)+b \right) \left(a^{2}-b^{2}\right)}-\frac{8 b \arctan \left(\frac{2 b \tan \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)+2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{d \left(a^{2}-b^{2}\right) \sqrt{-a^{2}+b^{2}}}+\frac{4 b^{3} \arctan \left(\frac{2 b \tan \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)+2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{d \,a^{2} \left(a^{2}-b^{2}\right) \sqrt{-a^{2}+b^{2}}}+\frac{4 \arctan \left(\tan \left(\frac{c}{2}+\frac{d \sqrt{x}}{2}\right)\right)}{d \,a^{2}}"," ",0,"-4/d*b/(tan(1/2*c+1/2*d*x^(1/2))^2*b+2*a*tan(1/2*c+1/2*d*x^(1/2))+b)/(a^2-b^2)*tan(1/2*c+1/2*d*x^(1/2))-4/d*b^2/a/(tan(1/2*c+1/2*d*x^(1/2))^2*b+2*a*tan(1/2*c+1/2*d*x^(1/2))+b)/(a^2-b^2)-8/d*b/(a^2-b^2)/(-a^2+b^2)^(1/2)*arctan(1/2*(2*b*tan(1/2*c+1/2*d*x^(1/2))+2*a)/(-a^2+b^2)^(1/2))+4/d*b^3/a^2/(a^2-b^2)/(-a^2+b^2)^(1/2)*arctan(1/2*(2*b*tan(1/2*c+1/2*d*x^(1/2))+2*a)/(-a^2+b^2)^(1/2))+4/d/a^2*arctan(tan(1/2*c+1/2*d*x^(1/2)))","B"
70,0,0,20,3.200000," ","int(1/x^(3/2)/(a+b*csc(c+d*x^(1/2)))^2,x)","\int \frac{1}{x^{\frac{3}{2}} \left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(1/x^(3/2)/(a+b*csc(c+d*x^(1/2)))^2,x)","F"
71,0,0,20,3.024000," ","int(1/x^(5/2)/(a+b*csc(c+d*x^(1/2)))^2,x)","\int \frac{1}{x^{\frac{5}{2}} \left(a +b \csc \left(c +d \sqrt{x}\right)\right)^{2}}\, dx"," ",0,"int(1/x^(5/2)/(a+b*csc(c+d*x^(1/2)))^2,x)","F"
72,0,0,31,2.771000," ","int((e*x)^m*(a+b*csc(c+d*x^n))^p,x)","\int \left(e x \right)^{m} \left(a +b \csc \left(c +d \,x^{n}\right)\right)^{p}\, dx"," ",0,"int((e*x)^m*(a+b*csc(c+d*x^n))^p,x)","F"
73,1,158,45,2.316000," ","int((e*x)^(-1+n)*(a+b*csc(c+d*x^n)),x)","\frac{a x \,{\mathrm e}^{\frac{\left(-1+n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{n}-\frac{2 \arctanh \left({\mathrm e}^{i \left(c +d \,x^{n}\right)}\right) e^{n} b \,{\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-1+n \right) \left(\mathrm{csgn}\left(i e x \right)-\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i e x \right)+\mathrm{csgn}\left(i e \right)\right)}{2}}}{d e n}"," ",0,"a/n*x*exp(1/2*(-1+n)*(-I*csgn(I*e*x)^3*Pi+I*csgn(I*e*x)^2*csgn(I*e)*Pi+I*csgn(I*e*x)^2*csgn(I*x)*Pi-I*csgn(I*e*x)*csgn(I*e)*csgn(I*x)*Pi+2*ln(e)+2*ln(x)))-2*arctanh(exp(I*(c+d*x^n)))/d/e*e^n/n*b*exp(1/2*I*Pi*csgn(I*e*x)*(-1+n)*(csgn(I*e*x)-csgn(I*x))*(-csgn(I*e*x)+csgn(I*e)))","C"
74,1,731,135,2.878000," ","int((e*x)^(-1+2*n)*(a+b*csc(c+d*x^n)),x)","\frac{a x \,{\mathrm e}^{\frac{\left(-1+2 n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{2 n}+\frac{e^{2 n} b \ln \left(1-{\mathrm e}^{i \left(c +d \,x^{n}\right)}\right) x^{n} \left(-1\right)^{\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-2 n \mathrm{csgn}\left(i e x \right)^{2}+2 n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)+2 n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)-2 n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i e x \right)^{2}\right)}{2}}}{d n e}-\frac{e^{2 n} b \ln \left({\mathrm e}^{i \left(c +d \,x^{n}\right)}+1\right) x^{n} \left(-1\right)^{\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-2 n \mathrm{csgn}\left(i e x \right)^{2}+2 n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)+2 n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)-2 n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i e x \right)^{2}\right)}{2}}}{d n e}-\frac{i e^{2 n} b \dilog \left(1-{\mathrm e}^{i \left(c +d \,x^{n}\right)}\right) \left(-1\right)^{\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-2 n \mathrm{csgn}\left(i e x \right)^{2}+2 n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)+2 n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)-2 n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i e x \right)^{2}\right)}{2}}}{d^{2} n e}+\frac{i e^{2 n} b \dilog \left({\mathrm e}^{i \left(c +d \,x^{n}\right)}+1\right) \left(-1\right)^{\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-2 n \mathrm{csgn}\left(i e x \right)^{2}+2 n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)+2 n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)-2 n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right)+\mathrm{csgn}\left(i e x \right)^{2}\right)}{2}}}{d^{2} n e}"," ",0,"1/2*a/n*x*exp(1/2*(-1+2*n)*(-I*csgn(I*e*x)^3*Pi+I*csgn(I*e*x)^2*csgn(I*e)*Pi+I*csgn(I*e*x)^2*csgn(I*x)*Pi-I*csgn(I*e*x)*csgn(I*e)*csgn(I*x)*Pi+2*ln(e)+2*ln(x)))+1/d/n/e*(e^n)^2*b*ln(1-exp(I*(c+d*x^n)))*x^n*(-1)^(1/2*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*(-1)^(-1/2*csgn(I*x)*csgn(I*e*x)^2)*(-1)^(-1/2*csgn(I*e)*csgn(I*e*x)^2)*exp(1/2*I*Pi*csgn(I*e*x)*(-2*n*csgn(I*e*x)^2+2*n*csgn(I*e)*csgn(I*e*x)+2*n*csgn(I*x)*csgn(I*e*x)-2*n*csgn(I*e)*csgn(I*x)+csgn(I*e*x)^2))-1/d/n/e*(e^n)^2*b*ln(exp(I*(c+d*x^n))+1)*x^n*(-1)^(1/2*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*(-1)^(-1/2*csgn(I*x)*csgn(I*e*x)^2)*(-1)^(-1/2*csgn(I*e)*csgn(I*e*x)^2)*exp(1/2*I*Pi*csgn(I*e*x)*(-2*n*csgn(I*e*x)^2+2*n*csgn(I*e)*csgn(I*e*x)+2*n*csgn(I*x)*csgn(I*e*x)-2*n*csgn(I*e)*csgn(I*x)+csgn(I*e*x)^2))-I/d^2/n/e*(e^n)^2*b*dilog(1-exp(I*(c+d*x^n)))*(-1)^(1/2*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*(-1)^(-1/2*csgn(I*x)*csgn(I*e*x)^2)*(-1)^(-1/2*csgn(I*e)*csgn(I*e*x)^2)*exp(1/2*I*Pi*csgn(I*e*x)*(-2*n*csgn(I*e*x)^2+2*n*csgn(I*e)*csgn(I*e*x)+2*n*csgn(I*x)*csgn(I*e*x)-2*n*csgn(I*e)*csgn(I*x)+csgn(I*e*x)^2))+I/d^2/n/e*(e^n)^2*b*dilog(exp(I*(c+d*x^n))+1)*(-1)^(1/2*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*(-1)^(-1/2*csgn(I*x)*csgn(I*e*x)^2)*(-1)^(-1/2*csgn(I*e)*csgn(I*e*x)^2)*exp(1/2*I*Pi*csgn(I*e*x)*(-2*n*csgn(I*e*x)^2+2*n*csgn(I*e)*csgn(I*e*x)+2*n*csgn(I*x)*csgn(I*e*x)-2*n*csgn(I*e)*csgn(I*x)+csgn(I*e*x)^2))","C"
75,0,0,215,3.438000," ","int((e*x)^(-1+3*n)*(a+b*csc(c+d*x^n)),x)","\int \left(e x \right)^{-1+3 n} \left(a +b \csc \left(c +d \,x^{n}\right)\right)\, dx"," ",0,"int((e*x)^(-1+3*n)*(a+b*csc(c+d*x^n)),x)","F"
76,1,275,80,2.254000," ","int((e*x)^(-1+n)*(a+b*csc(c+d*x^n))^2,x)","\frac{a^{2} x \,{\mathrm e}^{\frac{\left(-1+n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{n}-\frac{2 i x \,{\mathrm e}^{\frac{\left(-1+n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}} b^{2} x^{-n}}{d n \left({\mathrm e}^{2 i \left(c +d \,x^{n}\right)}-1\right)}-\frac{4 \arctanh \left({\mathrm e}^{i \left(c +d \,x^{n}\right)}\right) e^{n} a b \,{\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-1+n \right) \left(\mathrm{csgn}\left(i e x \right)-\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i e x \right)+\mathrm{csgn}\left(i e \right)\right)}{2}}}{d e n}"," ",0,"a^2/n*x*exp(1/2*(-1+n)*(-I*csgn(I*e*x)^3*Pi+I*csgn(I*e*x)^2*csgn(I*e)*Pi+I*csgn(I*e*x)^2*csgn(I*x)*Pi-I*csgn(I*e*x)*csgn(I*e)*csgn(I*x)*Pi+2*ln(e)+2*ln(x)))-2*I*x*exp(1/2*(-1+n)*(-I*csgn(I*e*x)^3*Pi+I*csgn(I*e*x)^2*csgn(I*e)*Pi+I*csgn(I*e*x)^2*csgn(I*x)*Pi-I*csgn(I*e*x)*csgn(I*e)*csgn(I*x)*Pi+2*ln(e)+2*ln(x)))*b^2/d/n/(x^n)/(exp(2*I*(c+d*x^n))-1)-4*arctanh(exp(I*(c+d*x^n)))/d/e*e^n/n*a*b*exp(1/2*I*Pi*csgn(I*e*x)*(-1+n)*(csgn(I*e*x)-csgn(I*x))*(-csgn(I*e*x)+csgn(I*e)))","C"
77,1,674,210,1.949000," ","int((e*x)^(-1+2*n)*(a+b*csc(c+d*x^n))^2,x)","\frac{a^{2} x \,{\mathrm e}^{\frac{\left(-1+2 n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{2 n}-\frac{2 i x \,{\mathrm e}^{\frac{\left(-1+2 n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}} b^{2} x^{-n}}{d n \left({\mathrm e}^{2 i \left(c +d \,x^{n}\right)}-1\right)}-\frac{2 b^{2} \ln \left({\mathrm e}^{i x^{n} d}\right) e^{2 n} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-1+2 n \right) \left(\mathrm{csgn}\left(i e x \right)-\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i e x \right)+\mathrm{csgn}\left(i e \right)\right)}{2}}}{d^{2} n e}+\frac{b^{2} \ln \left({\mathrm e}^{2 i \left(c +d \,x^{n}\right)}-1\right) e^{2 n} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-1+2 n \right) \left(\mathrm{csgn}\left(i e x \right)-\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i e x \right)+\mathrm{csgn}\left(i e \right)\right)}{2}}}{d^{2} n e}+\frac{2 b \ln \left(1-{\mathrm e}^{i \left(c +d \,x^{n}\right)}\right) x^{n} a \,e^{2 n} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-1+2 n \right) \left(\mathrm{csgn}\left(i e x \right)-\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i e x \right)+\mathrm{csgn}\left(i e \right)\right)}{2}}}{d n e}-\frac{2 b \ln \left({\mathrm e}^{i \left(c +d \,x^{n}\right)}+1\right) x^{n} a \,e^{2 n} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-1+2 n \right) \left(\mathrm{csgn}\left(i e x \right)-\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i e x \right)+\mathrm{csgn}\left(i e \right)\right)}{2}}}{d n e}-\frac{2 i b \dilog \left(1-{\mathrm e}^{i \left(c +d \,x^{n}\right)}\right) a \,e^{2 n} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-1+2 n \right) \left(\mathrm{csgn}\left(i e x \right)-\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i e x \right)+\mathrm{csgn}\left(i e \right)\right)}{2}}}{d^{2} n e}+\frac{2 i b \dilog \left({\mathrm e}^{i \left(c +d \,x^{n}\right)}+1\right) a \,e^{2 n} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-1+2 n \right) \left(\mathrm{csgn}\left(i e x \right)-\mathrm{csgn}\left(i x \right)\right) \left(-\mathrm{csgn}\left(i e x \right)+\mathrm{csgn}\left(i e \right)\right)}{2}}}{d^{2} n e}"," ",0,"1/2*a^2/n*x*exp(1/2*(-1+2*n)*(-I*csgn(I*e*x)^3*Pi+I*csgn(I*e*x)^2*csgn(I*e)*Pi+I*csgn(I*e*x)^2*csgn(I*x)*Pi-I*csgn(I*e*x)*csgn(I*e)*csgn(I*x)*Pi+2*ln(e)+2*ln(x)))-2*I*x*exp(1/2*(-1+2*n)*(-I*csgn(I*e*x)^3*Pi+I*csgn(I*e*x)^2*csgn(I*e)*Pi+I*csgn(I*e*x)^2*csgn(I*x)*Pi-I*csgn(I*e*x)*csgn(I*e)*csgn(I*x)*Pi+2*ln(e)+2*ln(x)))*b^2/d/n/(x^n)/(exp(2*I*(c+d*x^n))-1)-2*b^2/d^2*ln(exp(I*x^n*d))/n/e*(e^n)^2*exp(1/2*I*Pi*csgn(I*e*x)*(-1+2*n)*(csgn(I*e*x)-csgn(I*x))*(-csgn(I*e*x)+csgn(I*e)))+b^2/d^2*ln(exp(2*I*(c+d*x^n))-1)/n/e*(e^n)^2*exp(1/2*I*Pi*csgn(I*e*x)*(-1+2*n)*(csgn(I*e*x)-csgn(I*x))*(-csgn(I*e*x)+csgn(I*e)))+2*b/d*ln(1-exp(I*(c+d*x^n)))*x^n/n*a/e*(e^n)^2*exp(1/2*I*Pi*csgn(I*e*x)*(-1+2*n)*(csgn(I*e*x)-csgn(I*x))*(-csgn(I*e*x)+csgn(I*e)))-2*b/d*ln(exp(I*(c+d*x^n))+1)*x^n/n*a/e*(e^n)^2*exp(1/2*I*Pi*csgn(I*e*x)*(-1+2*n)*(csgn(I*e*x)-csgn(I*x))*(-csgn(I*e*x)+csgn(I*e)))-2*I*b/d^2*dilog(1-exp(I*(c+d*x^n)))/n*a/e*(e^n)^2*exp(1/2*I*Pi*csgn(I*e*x)*(-1+2*n)*(csgn(I*e*x)-csgn(I*x))*(-csgn(I*e*x)+csgn(I*e)))+2*I*b/d^2*dilog(exp(I*(c+d*x^n))+1)/n*a/e*(e^n)^2*exp(1/2*I*Pi*csgn(I*e*x)*(-1+2*n)*(csgn(I*e*x)-csgn(I*x))*(-csgn(I*e*x)+csgn(I*e)))","C"
78,0,0,369,5.073000," ","int((e*x)^(-1+3*n)*(a+b*csc(c+d*x^n))^2,x)","\int \left(e x \right)^{-1+3 n} \left(a +b \csc \left(c +d \,x^{n}\right)\right)^{2}\, dx"," ",0,"int((e*x)^(-1+3*n)*(a+b*csc(c+d*x^n))^2,x)","F"
79,1,315,80,2.662000," ","int((e*x)^(-1+n)/(a+b*csc(c+d*x^n)),x)","\frac{x \,{\mathrm e}^{\frac{\left(-1+n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{a n}-\frac{2 i \arctan \left(\frac{2 i a \,{\mathrm e}^{i \left(d \,x^{n}+2 c \right)}-2 \,{\mathrm e}^{i c} b}{2 \sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}\right) e^{n} b \,{\mathrm e}^{\frac{i \left(-\pi  n \mathrm{csgn}\left(i e x \right)^{3}+\pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+\pi  n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-\pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+\pi  \mathrm{csgn}\left(i e x \right)^{3}-\pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}+\pi  \,\mathrm{csgn}\left(i e x \right) \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right)+2 c \right)}{2}}}{\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}\, d e n a}"," ",0,"1/a/n*x*exp(1/2*(-1+n)*(-I*csgn(I*e*x)^3*Pi+I*csgn(I*e*x)^2*csgn(I*e)*Pi+I*csgn(I*e*x)^2*csgn(I*x)*Pi-I*csgn(I*e*x)*csgn(I*e)*csgn(I*x)*Pi+2*ln(e)+2*ln(x)))-2*I*arctan(1/2*(2*I*a*exp(I*(d*x^n+2*c))-2*exp(I*c)*b)/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)/d/e*e^n/n/a*b*exp(1/2*I*(-Pi*n*csgn(I*e*x)^3+Pi*n*csgn(I*e)*csgn(I*e*x)^2+Pi*n*csgn(I*x)*csgn(I*e*x)^2-Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+Pi*csgn(I*e*x)^3-Pi*csgn(I*e)*csgn(I*e*x)^2-Pi*csgn(I*x)*csgn(I*e*x)^2+Pi*csgn(I*e*x)*csgn(I*e)*csgn(I*x)+2*c))","C"
80,1,1332,310,3.790000," ","int((e*x)^(-1+2*n)/(a+b*csc(c+d*x^n)),x)","\frac{x \,{\mathrm e}^{\frac{\left(-1+2 n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{2 a n}-\frac{e^{2 n} b \ln \left(\frac{i {\mathrm e}^{i c} b +a \,{\mathrm e}^{i \left(d \,x^{n}+2 c \right)}-\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}{i {\mathrm e}^{i c} b -\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}\right) x^{n} \left(-1\right)^{\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{-i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)} {\mathrm e}^{i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}} {\mathrm e}^{i \pi  n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}} {\mathrm e}^{-i \pi  n \mathrm{csgn}\left(i e x \right)^{3}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i e x \right)^{3}}{2}} {\mathrm e}^{i c}}{d n e a \sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}+\frac{e^{2 n} b \ln \left(\frac{i {\mathrm e}^{i c} b +a \,{\mathrm e}^{i \left(d \,x^{n}+2 c \right)}+\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}{i {\mathrm e}^{i c} b +\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}\right) x^{n} \left(-1\right)^{\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{-i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)} {\mathrm e}^{i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}} {\mathrm e}^{i \pi  n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}} {\mathrm e}^{-i \pi  n \mathrm{csgn}\left(i e x \right)^{3}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i e x \right)^{3}}{2}} {\mathrm e}^{i c}}{d n e a \sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}+\frac{i e^{2 n} b \dilog \left(\frac{i b \,{\mathrm e}^{i c}}{i {\mathrm e}^{i c} b -\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}+\frac{a \,{\mathrm e}^{i \left(d \,x^{n}+2 c \right)}}{i {\mathrm e}^{i c} b -\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}-\frac{\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}{i {\mathrm e}^{i c} b -\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}\right) \left(-1\right)^{\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{-i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)} {\mathrm e}^{i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}} {\mathrm e}^{i \pi  n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}} {\mathrm e}^{-i \pi  n \mathrm{csgn}\left(i e x \right)^{3}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i e x \right)^{3}}{2}} {\mathrm e}^{i c}}{d^{2} n e a \sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}-\frac{i e^{2 n} b \dilog \left(\frac{i b \,{\mathrm e}^{i c}}{i {\mathrm e}^{i c} b +\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}+\frac{a \,{\mathrm e}^{i \left(d \,x^{n}+2 c \right)}}{i {\mathrm e}^{i c} b +\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}+\frac{\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}{i {\mathrm e}^{i c} b +\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}\right) \left(-1\right)^{\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{-i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)} {\mathrm e}^{i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}} {\mathrm e}^{i \pi  n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}} {\mathrm e}^{-i \pi  n \mathrm{csgn}\left(i e x \right)^{3}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i e x \right)^{3}}{2}} {\mathrm e}^{i c}}{d^{2} n e a \sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}"," ",0,"1/2/a/n*x*exp(1/2*(-1+2*n)*(-I*csgn(I*e*x)^3*Pi+I*csgn(I*e*x)^2*csgn(I*e)*Pi+I*csgn(I*e*x)^2*csgn(I*x)*Pi-I*csgn(I*e*x)*csgn(I*e)*csgn(I*x)*Pi+2*ln(e)+2*ln(x)))-1/d/n/e*(e^n)^2/a*b*ln((I*exp(I*c)*b+a*exp(I*(d*x^n+2*c))-(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(I*exp(I*c)*b-(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)*x^n*(-1)^(1/2*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*(-1)^(-1/2*csgn(I*x)*csgn(I*e*x)^2)*(-1)^(-1/2*csgn(I*e)*csgn(I*e*x)^2)*exp(-I*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(I*Pi*n*csgn(I*e)*csgn(I*e*x)^2)*exp(I*Pi*n*csgn(I*x)*csgn(I*e*x)^2)*exp(-I*Pi*n*csgn(I*e*x)^3)*exp(1/2*I*Pi*csgn(I*e*x)^3)*exp(I*c)+1/d/n/e*(e^n)^2/a*b*ln((I*exp(I*c)*b+a*exp(I*(d*x^n+2*c))+(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(I*exp(I*c)*b+(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)*x^n*(-1)^(1/2*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*(-1)^(-1/2*csgn(I*x)*csgn(I*e*x)^2)*(-1)^(-1/2*csgn(I*e)*csgn(I*e*x)^2)*exp(-I*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(I*Pi*n*csgn(I*e)*csgn(I*e*x)^2)*exp(I*Pi*n*csgn(I*x)*csgn(I*e*x)^2)*exp(-I*Pi*n*csgn(I*e*x)^3)*exp(1/2*I*Pi*csgn(I*e*x)^3)*exp(I*c)+I/d^2/n/e*(e^n)^2/a*b*dilog(I/(I*exp(I*c)*b-(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))*b*exp(I*c)+a/(I*exp(I*c)*b-(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))*exp(I*(d*x^n+2*c))-1/(I*exp(I*c)*b-(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))*(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)*(-1)^(1/2*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*(-1)^(-1/2*csgn(I*x)*csgn(I*e*x)^2)*(-1)^(-1/2*csgn(I*e)*csgn(I*e*x)^2)*exp(-I*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(I*Pi*n*csgn(I*e)*csgn(I*e*x)^2)*exp(I*Pi*n*csgn(I*x)*csgn(I*e*x)^2)*exp(-I*Pi*n*csgn(I*e*x)^3)*exp(1/2*I*Pi*csgn(I*e*x)^3)*exp(I*c)-I/d^2/n/e*(e^n)^2/a*b*dilog(I/(I*exp(I*c)*b+(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))*b*exp(I*c)+a/(I*exp(I*c)*b+(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))*exp(I*(d*x^n+2*c))+1/(I*exp(I*c)*b+(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))*(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)*(-1)^(1/2*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*(-1)^(-1/2*csgn(I*x)*csgn(I*e*x)^2)*(-1)^(-1/2*csgn(I*e)*csgn(I*e*x)^2)*exp(-I*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(I*Pi*n*csgn(I*e)*csgn(I*e*x)^2)*exp(I*Pi*n*csgn(I*x)*csgn(I*e*x)^2)*exp(-I*Pi*n*csgn(I*e*x)^3)*exp(1/2*I*Pi*csgn(I*e*x)^3)*exp(I*c)","C"
81,0,0,459,3.674000," ","int((e*x)^(-1+3*n)/(a+b*csc(c+d*x^n)),x)","\int \frac{\left(e x \right)^{-1+3 n}}{a +b \csc \left(c +d \,x^{n}\right)}\, dx"," ",0,"int((e*x)^(-1+3*n)/(a+b*csc(c+d*x^n)),x)","F"
82,1,712,151,2.953000," ","int((e*x)^(-1+n)/(a+b*csc(c+d*x^n))^2,x)","\frac{x \,{\mathrm e}^{\frac{\left(-1+n \right) \left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(e \right)\right)}{2}}}{a^{2} n}-\frac{2 i b^{2} x \,x^{-n} \left(\frac{i a \,x^{n} e^{n} \left(-1\right)^{\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  \,\mathrm{csgn}\left(i e x \right) \left(-n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right)+n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)+n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)-n \mathrm{csgn}\left(i e x \right)^{2}+\mathrm{csgn}\left(i e x \right)^{2}\right)}{2}}}{x e}+\frac{b \,x^{n} e^{n} \left(-1\right)^{\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} \left(-1\right)^{-\frac{\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  \mathrm{csgn}\left(i e x \right)^{3}}{2}} {\mathrm e}^{-\frac{i \pi  n \mathrm{csgn}\left(i e x \right)^{3}}{2}} {\mathrm e}^{\frac{i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{\frac{i \pi  n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}}{2}} {\mathrm e}^{-\frac{i \pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)}{2}} {\mathrm e}^{i x^{n} d} {\mathrm e}^{i c}}{x e}\right)}{a^{2} \left(-a^{2}+b^{2}\right) d n \left(2 b \,{\mathrm e}^{i \left(c +d \,x^{n}\right)}-i a \,{\mathrm e}^{2 i \left(c +d \,x^{n}\right)}+i a \right)}-\frac{2 i \arctan \left(\frac{2 i a \,{\mathrm e}^{i \left(d \,x^{n}+2 c \right)}-2 \,{\mathrm e}^{i c} b}{2 \sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}}\right) e^{n} \left(-2 a^{2}+b^{2}\right) b \,{\mathrm e}^{\frac{i \left(-\pi  n \mathrm{csgn}\left(i e x \right)^{3}+\pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+\pi  n \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-\pi  n \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+\pi  \mathrm{csgn}\left(i e x \right)^{3}-\pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}-\pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}+\pi  \,\mathrm{csgn}\left(i e x \right) \mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right)+2 c \right)}{2}}}{\sqrt{a^{2} {\mathrm e}^{2 i c}-{\mathrm e}^{2 i c} b^{2}}\, d e n \,a^{2} \left(-a^{2}+b^{2}\right)}"," ",0,"1/a^2/n*x*exp(1/2*(-1+n)*(-I*csgn(I*e*x)^3*Pi+I*csgn(I*e*x)^2*csgn(I*e)*Pi+I*csgn(I*e*x)^2*csgn(I*x)*Pi-I*csgn(I*e*x)*csgn(I*e)*csgn(I*x)*Pi+2*ln(e)+2*ln(x)))-2*I*b^2*x/a^2/(-a^2+b^2)/d/n/(x^n)/(2*b*exp(I*(c+d*x^n))-I*a*exp(2*I*(c+d*x^n))+I*a)*(I*a*x^n*e^n/x/e*(-1)^(1/2*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*(-1)^(-1/2*csgn(I*x)*csgn(I*e*x)^2)*(-1)^(-1/2*csgn(I*e)*csgn(I*e*x)^2)*exp(1/2*I*Pi*csgn(I*e*x)*(-n*csgn(I*e)*csgn(I*x)+n*csgn(I*e)*csgn(I*e*x)+n*csgn(I*x)*csgn(I*e*x)-n*csgn(I*e*x)^2+csgn(I*e*x)^2))+b*x^n*e^n/x/e*(-1)^(1/2*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*(-1)^(-1/2*csgn(I*x)*csgn(I*e*x)^2)*(-1)^(-1/2*csgn(I*e)*csgn(I*e*x)^2)*exp(1/2*I*Pi*csgn(I*e*x)^3)*exp(-1/2*I*Pi*n*csgn(I*e*x)^3)*exp(1/2*I*Pi*n*csgn(I*e)*csgn(I*e*x)^2)*exp(1/2*I*Pi*n*csgn(I*x)*csgn(I*e*x)^2)*exp(-1/2*I*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(I*x^n*d)*exp(I*c))-2*I*arctan(1/2*(2*I*a*exp(I*(d*x^n+2*c))-2*exp(I*c)*b)/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)/d/e*e^n/n/a^2/(-a^2+b^2)*(-2*a^2+b^2)*b*exp(1/2*I*(-Pi*n*csgn(I*e*x)^3+Pi*n*csgn(I*e)*csgn(I*e*x)^2+Pi*n*csgn(I*x)*csgn(I*e*x)^2-Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+Pi*csgn(I*e*x)^3-Pi*csgn(I*e)*csgn(I*e*x)^2-Pi*csgn(I*x)*csgn(I*e*x)^2+Pi*csgn(I*e*x)*csgn(I*e)*csgn(I*x)+2*c))","C"
83,1,2865,726,2.860000," ","int((e*x)^(-1+2*n)/(a+b*csc(c+d*x^n))^2,x)","\text{output too large to display}"," ",0,"1/2/a^2/n*x*exp(1/2*(-1+2*n)*(-I*csgn(I*e*x)^3*Pi+I*csgn(I*e*x)^2*csgn(I*e)*Pi+I*csgn(I*e*x)^2*csgn(I*x)*Pi-I*csgn(I*e*x)*csgn(I*e)*csgn(I*x)*Pi+2*ln(e)+2*ln(x)))-2*I*b^2*x/a^2/(-a^2+b^2)/d/n/(x^n)/(2*b*exp(I*(c+d*x^n))-I*a*exp(2*I*(c+d*x^n))+I*a)*(I*a*(x^n)^2*(e^n)^2/x/e*(-1)^(1/2*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*(-1)^(-1/2*csgn(I*x)*csgn(I*e*x)^2)*(-1)^(-1/2*csgn(I*e)*csgn(I*e*x)^2)*exp(1/2*I*Pi*csgn(I*e*x)*(-2*n*csgn(I*e*x)^2+2*n*csgn(I*e)*csgn(I*e*x)+2*n*csgn(I*x)*csgn(I*e*x)-2*n*csgn(I*e)*csgn(I*x)+csgn(I*e*x)^2))+b*(x^n)^2*(e^n)^2/x/e*(-1)^(1/2*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*(-1)^(-1/2*csgn(I*x)*csgn(I*e*x)^2)*(-1)^(-1/2*csgn(I*e)*csgn(I*e*x)^2)*exp(1/2*I*Pi*csgn(I*e*x)^3)*exp(-I*Pi*n*csgn(I*e*x)^3)*exp(I*Pi*n*csgn(I*e)*csgn(I*e*x)^2)*exp(I*Pi*n*csgn(I*x)*csgn(I*e*x)^2)*exp(-I*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x))*exp(I*x^n*d)*exp(I*c))+b^3/(a^2-b^2)/d/a^2*ln((I*exp(I*c)*b+a*exp(I*(d*x^n+2*c))-(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(I*exp(I*c)*b-(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)*x^n/n/e*(e^n)^2*exp(1/2*I*(-2*Pi*n*csgn(I*e*x)^3+2*Pi*n*csgn(I*e)*csgn(I*e*x)^2+2*Pi*n*csgn(I*x)*csgn(I*e*x)^2-2*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+Pi*csgn(I*e*x)^3-Pi*csgn(I*e)*csgn(I*e*x)^2-Pi*csgn(I*x)*csgn(I*e*x)^2+Pi*csgn(I*e*x)*csgn(I*e)*csgn(I*x)+2*c))-2*b^2/(a^2-b^2)/d^2/a^2*ln(exp(I*x^n*d))/n/e*(e^n)^2*exp(1/2*I*Pi*csgn(I*e*x)*(-1+2*n)*(csgn(I*e*x)-csgn(I*x))*(-csgn(I*e*x)+csgn(I*e)))+b^2/(a^2-b^2)/d^2/a^2*ln(I*a*exp(2*I*(c+d*x^n))-2*b*exp(I*(c+d*x^n))-I*a)/n/e*(e^n)^2*exp(1/2*I*Pi*csgn(I*e*x)*(-1+2*n)*(csgn(I*e*x)-csgn(I*x))*(-csgn(I*e*x)+csgn(I*e)))-I*b^3/(a^2-b^2)/d^2/a^2*dilog((I*exp(I*c)*b+a*exp(I*(d*x^n+2*c))-(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(I*exp(I*c)*b-(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)/n/e*(e^n)^2*exp(1/2*I*(-2*Pi*n*csgn(I*e*x)^3+2*Pi*n*csgn(I*e)*csgn(I*e*x)^2+2*Pi*n*csgn(I*x)*csgn(I*e*x)^2-2*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+Pi*csgn(I*e*x)^3-Pi*csgn(I*e)*csgn(I*e*x)^2-Pi*csgn(I*x)*csgn(I*e*x)^2+Pi*csgn(I*e*x)*csgn(I*e)*csgn(I*x)+2*c))+I*b^3/(a^2-b^2)/d^2/a^2*dilog((I*exp(I*c)*b+a*exp(I*(d*x^n+2*c))+(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(I*exp(I*c)*b+(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)/n/e*(e^n)^2*exp(1/2*I*(-2*Pi*n*csgn(I*e*x)^3+2*Pi*n*csgn(I*e)*csgn(I*e*x)^2+2*Pi*n*csgn(I*x)*csgn(I*e*x)^2-2*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+Pi*csgn(I*e*x)^3-Pi*csgn(I*e)*csgn(I*e*x)^2-Pi*csgn(I*x)*csgn(I*e*x)^2+Pi*csgn(I*e*x)*csgn(I*e)*csgn(I*x)+2*c))+2*I*b/(a^2-b^2)/d^2*dilog((I*exp(I*c)*b+a*exp(I*(d*x^n+2*c))-(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(I*exp(I*c)*b-(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)/n/e*(e^n)^2*exp(1/2*I*(-2*Pi*n*csgn(I*e*x)^3+2*Pi*n*csgn(I*e)*csgn(I*e*x)^2+2*Pi*n*csgn(I*x)*csgn(I*e*x)^2-2*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+Pi*csgn(I*e*x)^3-Pi*csgn(I*e)*csgn(I*e*x)^2-Pi*csgn(I*x)*csgn(I*e*x)^2+Pi*csgn(I*e*x)*csgn(I*e)*csgn(I*x)+2*c))+2*b/(a^2-b^2)/d*ln((I*exp(I*c)*b+a*exp(I*(d*x^n+2*c))+(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(I*exp(I*c)*b+(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)*x^n/n/e*(e^n)^2*exp(1/2*I*(-2*Pi*n*csgn(I*e*x)^3+2*Pi*n*csgn(I*e)*csgn(I*e*x)^2+2*Pi*n*csgn(I*x)*csgn(I*e*x)^2-2*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+Pi*csgn(I*e*x)^3-Pi*csgn(I*e)*csgn(I*e*x)^2-Pi*csgn(I*x)*csgn(I*e*x)^2+Pi*csgn(I*e*x)*csgn(I*e)*csgn(I*x)+2*c))-b^3/(a^2-b^2)/d/a^2*ln((I*exp(I*c)*b+a*exp(I*(d*x^n+2*c))+(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(I*exp(I*c)*b+(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)*x^n/n/e*(e^n)^2*exp(1/2*I*(-2*Pi*n*csgn(I*e*x)^3+2*Pi*n*csgn(I*e)*csgn(I*e*x)^2+2*Pi*n*csgn(I*x)*csgn(I*e*x)^2-2*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+Pi*csgn(I*e*x)^3-Pi*csgn(I*e)*csgn(I*e*x)^2-Pi*csgn(I*x)*csgn(I*e*x)^2+Pi*csgn(I*e*x)*csgn(I*e)*csgn(I*x)+2*c))-2*b/(a^2-b^2)/d*ln((I*exp(I*c)*b+a*exp(I*(d*x^n+2*c))-(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(I*exp(I*c)*b-(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)*x^n/n/e*(e^n)^2*exp(1/2*I*(-2*Pi*n*csgn(I*e*x)^3+2*Pi*n*csgn(I*e)*csgn(I*e*x)^2+2*Pi*n*csgn(I*x)*csgn(I*e*x)^2-2*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+Pi*csgn(I*e*x)^3-Pi*csgn(I*e)*csgn(I*e*x)^2-Pi*csgn(I*x)*csgn(I*e*x)^2+Pi*csgn(I*e*x)*csgn(I*e)*csgn(I*x)+2*c))-2*I*b/(a^2-b^2)/d^2*dilog((I*exp(I*c)*b+a*exp(I*(d*x^n+2*c))+(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2))/(I*exp(I*c)*b+(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)))/(a^2*exp(2*I*c)-exp(2*I*c)*b^2)^(1/2)/n/e*(e^n)^2*exp(1/2*I*(-2*Pi*n*csgn(I*e*x)^3+2*Pi*n*csgn(I*e)*csgn(I*e*x)^2+2*Pi*n*csgn(I*x)*csgn(I*e*x)^2-2*Pi*n*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+Pi*csgn(I*e*x)^3-Pi*csgn(I*e)*csgn(I*e*x)^2-Pi*csgn(I*x)*csgn(I*e*x)^2+Pi*csgn(I*e*x)*csgn(I*e)*csgn(I*x)+2*c))","C"
84,0,0,1324,7.378000," ","int((e*x)^(-1+3*n)/(a+b*csc(c+d*x^n))^2,x)","\int \frac{\left(e x \right)^{-1+3 n}}{\left(a +b \csc \left(c +d \,x^{n}\right)\right)^{2}}\, dx"," ",0,"int((e*x)^(-1+3*n)/(a+b*csc(c+d*x^n))^2,x)","F"