1,1,12,12,0.400860,"\text{Not used}","int(1/sin(a + b*x),x)","-\frac{\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{b}","Not used",1,"-atanh(cos(a + b*x))/b","B"
2,1,11,11,0.104434,"\text{Not used}","int(1/sin(a + b*x)^2,x)","-\frac{\mathrm{cot}\left(a+b\,x\right)}{b}","Not used",1,"-cot(a + b*x)/b","B"
3,1,36,34,0.113856,"\text{Not used}","int(1/sin(a + b*x)^3,x)","\frac{\cos\left(a+b\,x\right)}{2\,b\,\left({\cos\left(a+b\,x\right)}^2-1\right)}-\frac{\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{2\,b}","Not used",1,"cos(a + b*x)/(2*b*(cos(a + b*x)^2 - 1)) - atanh(cos(a + b*x))/(2*b)","B"
4,1,21,27,0.079658,"\text{Not used}","int(1/sin(a + b*x)^4,x)","-\frac{\mathrm{cot}\left(a+b\,x\right)\,\left({\mathrm{cot}\left(a+b\,x\right)}^2+3\right)}{3\,b}","Not used",1,"-(cot(a + b*x)*(cot(a + b*x)^2 + 3))/(3*b)","B"
5,1,59,55,0.127841,"\text{Not used}","int(1/sin(a + b*x)^5,x)","-\frac{3\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{8\,b}-\frac{\frac{5\,\cos\left(a+b\,x\right)}{8}-\frac{3\,{\cos\left(a+b\,x\right)}^3}{8}}{b\,\left({\cos\left(a+b\,x\right)}^4-2\,{\cos\left(a+b\,x\right)}^2+1\right)}","Not used",1,"- (3*atanh(cos(a + b*x)))/(8*b) - ((5*cos(a + b*x))/8 - (3*cos(a + b*x)^3)/8)/(b*(cos(a + b*x)^4 - 2*cos(a + b*x)^2 + 1))","B"
6,1,38,42,0.095548,"\text{Not used}","int(1/sin(a + b*x)^6,x)","-\frac{\mathrm{cot}\left(a+b\,x\right)}{b}-\frac{2\,{\mathrm{cot}\left(a+b\,x\right)}^3}{3\,b}-\frac{{\mathrm{cot}\left(a+b\,x\right)}^5}{5\,b}","Not used",1,"- cot(a + b*x)/b - (2*cot(a + b*x)^3)/(3*b) - cot(a + b*x)^5/(5*b)","B"
7,1,78,76,0.154752,"\text{Not used}","int(1/sin(a + b*x)^7,x)","\frac{\frac{5\,{\cos\left(a+b\,x\right)}^5}{16}-\frac{5\,{\cos\left(a+b\,x\right)}^3}{6}+\frac{11\,\cos\left(a+b\,x\right)}{16}}{b\,\left({\cos\left(a+b\,x\right)}^6-3\,{\cos\left(a+b\,x\right)}^4+3\,{\cos\left(a+b\,x\right)}^2-1\right)}-\frac{5\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{16\,b}","Not used",1,"((11*cos(a + b*x))/16 - (5*cos(a + b*x)^3)/6 + (5*cos(a + b*x)^5)/16)/(b*(3*cos(a + b*x)^2 - 3*cos(a + b*x)^4 + cos(a + b*x)^6 - 1)) - (5*atanh(cos(a + b*x)))/(16*b)","B"
8,1,41,55,0.127425,"\text{Not used}","int(1/sin(a + b*x)^8,x)","-\frac{{\mathrm{tan}\left(a+b\,x\right)}^6+{\mathrm{tan}\left(a+b\,x\right)}^4+\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^2}{5}+\frac{1}{7}}{b\,{\mathrm{tan}\left(a+b\,x\right)}^7}","Not used",1,"-((3*tan(a + b*x)^2)/5 + tan(a + b*x)^4 + tan(a + b*x)^6 + 1/7)/(b*tan(a + b*x)^7)","B"
9,0,-1,90,0.000000,"\text{Not used}","int((1/sin(a + b*x))^(7/2),x)","\int {\left(\frac{1}{\sin\left(a+b\,x\right)}\right)}^{7/2} \,d x","Not used",1,"int((1/sin(a + b*x))^(7/2), x)","F"
10,0,-1,67,0.000000,"\text{Not used}","int((1/sin(a + b*x))^(5/2),x)","\int {\left(\frac{1}{\sin\left(a+b\,x\right)}\right)}^{5/2} \,d x","Not used",1,"int((1/sin(a + b*x))^(5/2), x)","F"
11,0,-1,63,0.000000,"\text{Not used}","int((1/sin(a + b*x))^(3/2),x)","\int {\left(\frac{1}{\sin\left(a+b\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int((1/sin(a + b*x))^(3/2), x)","F"
12,1,61,41,0.121258,"\text{Not used}","int((1/sin(a + b*x))^(1/2),x)","-\frac{2\,\sqrt{\sin\left(a+b\,x\right)}\,\mathrm{F}\left(\mathrm{asin}\left(\frac{\sqrt{2}\,\sqrt{1-\sin\left(a+b\,x\right)}}{2}\right)\middle|2\right)\,\sqrt{{\cos\left(a+b\,x\right)}^2}\,\sqrt{\frac{1}{\sin\left(a+b\,x\right)}}}{b\,\cos\left(a+b\,x\right)}","Not used",1,"-(2*sin(a + b*x)^(1/2)*ellipticF(asin((2^(1/2)*(1 - sin(a + b*x))^(1/2))/2), 2)*(cos(a + b*x)^2)^(1/2)*(1/sin(a + b*x))^(1/2))/(b*cos(a + b*x))","B"
13,0,-1,41,0.000000,"\text{Not used}","int(1/(1/sin(a + b*x))^(1/2),x)","\int \frac{1}{\sqrt{\frac{1}{\sin\left(a+b\,x\right)}}} \,d x","Not used",1,"int(1/(1/sin(a + b*x))^(1/2), x)","F"
14,0,-1,67,0.000000,"\text{Not used}","int(1/(1/sin(a + b*x))^(3/2),x)","\int \frac{1}{{\left(\frac{1}{\sin\left(a+b\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(1/sin(a + b*x))^(3/2), x)","F"
15,0,-1,67,0.000000,"\text{Not used}","int(1/(1/sin(a + b*x))^(5/2),x)","\int \frac{1}{{\left(\frac{1}{\sin\left(a+b\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(1/sin(a + b*x))^(5/2), x)","F"
16,0,-1,90,0.000000,"\text{Not used}","int(1/(1/sin(a + b*x))^(7/2),x)","\int \frac{1}{{\left(\frac{1}{\sin\left(a+b\,x\right)}\right)}^{7/2}} \,d x","Not used",1,"int(1/(1/sin(a + b*x))^(7/2), x)","F"
17,0,-1,103,0.000000,"\text{Not used}","int((c/sin(a + b*x))^(7/2),x)","\int {\left(\frac{c}{\sin\left(a+b\,x\right)}\right)}^{7/2} \,d x","Not used",1,"int((c/sin(a + b*x))^(7/2), x)","F"
18,0,-1,75,0.000000,"\text{Not used}","int((c/sin(a + b*x))^(5/2),x)","\int {\left(\frac{c}{\sin\left(a+b\,x\right)}\right)}^{5/2} \,d x","Not used",1,"int((c/sin(a + b*x))^(5/2), x)","F"
19,0,-1,71,0.000000,"\text{Not used}","int((c/sin(a + b*x))^(3/2),x)","\int {\left(\frac{c}{\sin\left(a+b\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int((c/sin(a + b*x))^(3/2), x)","F"
20,1,63,43,0.199248,"\text{Not used}","int((c/sin(a + b*x))^(1/2),x)","-\frac{2\,\sqrt{\sin\left(a+b\,x\right)}\,\mathrm{F}\left(\mathrm{asin}\left(\frac{\sqrt{2}\,\sqrt{1-\sin\left(a+b\,x\right)}}{2}\right)\middle|2\right)\,\sqrt{\frac{c}{\sin\left(a+b\,x\right)}}\,\sqrt{{\cos\left(a+b\,x\right)}^2}}{b\,\cos\left(a+b\,x\right)}","Not used",1,"-(2*sin(a + b*x)^(1/2)*ellipticF(asin((2^(1/2)*(1 - sin(a + b*x))^(1/2))/2), 2)*(c/sin(a + b*x))^(1/2)*(cos(a + b*x)^2)^(1/2))/(b*cos(a + b*x))","B"
21,0,-1,43,0.000000,"\text{Not used}","int(1/(c/sin(a + b*x))^(1/2),x)","\int \frac{1}{\sqrt{\frac{c}{\sin\left(a+b\,x\right)}}} \,d x","Not used",1,"int(1/(c/sin(a + b*x))^(1/2), x)","F"
22,0,-1,77,0.000000,"\text{Not used}","int(1/(c/sin(a + b*x))^(3/2),x)","\int \frac{1}{{\left(\frac{c}{\sin\left(a+b\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(c/sin(a + b*x))^(3/2), x)","F"
23,0,-1,77,0.000000,"\text{Not used}","int(1/(c/sin(a + b*x))^(5/2),x)","\int \frac{1}{{\left(\frac{c}{\sin\left(a+b\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(c/sin(a + b*x))^(5/2), x)","F"
24,0,-1,105,0.000000,"\text{Not used}","int(1/(c/sin(a + b*x))^(7/2),x)","\int \frac{1}{{\left(\frac{c}{\sin\left(a+b\,x\right)}\right)}^{7/2}} \,d x","Not used",1,"int(1/(c/sin(a + b*x))^(7/2), x)","F"
25,0,-1,51,0.000000,"\text{Not used}","int((1/sin(a + b*x))^(4/3),x)","\int {\left(\frac{1}{\sin\left(a+b\,x\right)}\right)}^{4/3} \,d x","Not used",1,"int((1/sin(a + b*x))^(4/3), x)","F"
26,0,-1,51,0.000000,"\text{Not used}","int((1/sin(a + b*x))^(2/3),x)","\int {\left(\frac{1}{\sin\left(a+b\,x\right)}\right)}^{2/3} \,d x","Not used",1,"int((1/sin(a + b*x))^(2/3), x)","F"
27,0,-1,53,0.000000,"\text{Not used}","int((1/sin(a + b*x))^(1/3),x)","\int {\left(\frac{1}{\sin\left(a+b\,x\right)}\right)}^{1/3} \,d x","Not used",1,"int((1/sin(a + b*x))^(1/3), x)","F"
28,0,-1,53,0.000000,"\text{Not used}","int(1/(1/sin(a + b*x))^(1/3),x)","\int \frac{1}{{\left(\frac{1}{\sin\left(a+b\,x\right)}\right)}^{1/3}} \,d x","Not used",1,"int(1/(1/sin(a + b*x))^(1/3), x)","F"
29,0,-1,53,0.000000,"\text{Not used}","int(1/(1/sin(a + b*x))^(2/3),x)","\int \frac{1}{{\left(\frac{1}{\sin\left(a+b\,x\right)}\right)}^{2/3}} \,d x","Not used",1,"int(1/(1/sin(a + b*x))^(2/3), x)","F"
30,0,-1,53,0.000000,"\text{Not used}","int(1/(1/sin(a + b*x))^(4/3),x)","\int \frac{1}{{\left(\frac{1}{\sin\left(a+b\,x\right)}\right)}^{4/3}} \,d x","Not used",1,"int(1/(1/sin(a + b*x))^(4/3), x)","F"
31,0,-1,54,0.000000,"\text{Not used}","int((c/sin(a + b*x))^(4/3),x)","\int {\left(\frac{c}{\sin\left(a+b\,x\right)}\right)}^{4/3} \,d x","Not used",1,"int((c/sin(a + b*x))^(4/3), x)","F"
32,0,-1,54,0.000000,"\text{Not used}","int((c/sin(a + b*x))^(2/3),x)","\int {\left(\frac{c}{\sin\left(a+b\,x\right)}\right)}^{2/3} \,d x","Not used",1,"int((c/sin(a + b*x))^(2/3), x)","F"
33,0,-1,56,0.000000,"\text{Not used}","int((c/sin(a + b*x))^(1/3),x)","\int {\left(\frac{c}{\sin\left(a+b\,x\right)}\right)}^{1/3} \,d x","Not used",1,"int((c/sin(a + b*x))^(1/3), x)","F"
34,0,-1,56,0.000000,"\text{Not used}","int(1/(c/sin(a + b*x))^(1/3),x)","\int \frac{1}{{\left(\frac{c}{\sin\left(a+b\,x\right)}\right)}^{1/3}} \,d x","Not used",1,"int(1/(c/sin(a + b*x))^(1/3), x)","F"
35,0,-1,56,0.000000,"\text{Not used}","int(1/(c/sin(a + b*x))^(2/3),x)","\int \frac{1}{{\left(\frac{c}{\sin\left(a+b\,x\right)}\right)}^{2/3}} \,d x","Not used",1,"int(1/(c/sin(a + b*x))^(2/3), x)","F"
36,0,-1,56,0.000000,"\text{Not used}","int(1/(c/sin(a + b*x))^(4/3),x)","\int \frac{1}{{\left(\frac{c}{\sin\left(a+b\,x\right)}\right)}^{4/3}} \,d x","Not used",1,"int(1/(c/sin(a + b*x))^(4/3), x)","F"
37,0,-1,69,0.000000,"\text{Not used}","int((1/sin(a + b*x))^n,x)","\int {\left(\frac{1}{\sin\left(a+b\,x\right)}\right)}^n \,d x","Not used",1,"int((1/sin(a + b*x))^n, x)","F"
38,0,-1,72,0.000000,"\text{Not used}","int((c/sin(a + b*x))^n,x)","\int {\left(\frac{c}{\sin\left(a+b\,x\right)}\right)}^n \,d x","Not used",1,"int((c/sin(a + b*x))^n, x)","F"
39,0,-1,50,0.000000,"\text{Not used}","int((1/sin(x)^2)^(7/2),x)","\int {\left(\frac{1}{{\sin\left(x\right)}^2}\right)}^{7/2} \,d x","Not used",1,"int((1/sin(x)^2)^(7/2), x)","F"
40,0,-1,36,0.000000,"\text{Not used}","int((1/sin(x)^2)^(5/2),x)","\int {\left(\frac{1}{{\sin\left(x\right)}^2}\right)}^{5/2} \,d x","Not used",1,"int((1/sin(x)^2)^(5/2), x)","F"
41,0,-1,22,0.000000,"\text{Not used}","int((1/sin(x)^2)^(3/2),x)","\int {\left(\frac{1}{{\sin\left(x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int((1/sin(x)^2)^(3/2), x)","F"
42,0,-1,5,0.000000,"\text{Not used}","int((1/sin(x)^2)^(1/2),x)","\int \sqrt{\frac{1}{{\sin\left(x\right)}^2}} \,d x","Not used",1,"int((1/sin(x)^2)^(1/2), x)","F"
43,1,12,12,0.169926,"\text{Not used}","int(1/(1/sin(x)^2)^(1/2),x)","-\frac{\sin\left(2\,x\right)}{2\,\sqrt{{\sin\left(x\right)}^2}}","Not used",1,"-sin(2*x)/(2*(sin(x)^2)^(1/2))","B"
44,0,-1,29,0.000000,"\text{Not used}","int(1/(1/sin(x)^2)^(3/2),x)","\int \frac{1}{{\left(\frac{1}{{\sin\left(x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(1/sin(x)^2)^(3/2), x)","F"
45,0,-1,43,0.000000,"\text{Not used}","int(1/(1/sin(x)^2)^(5/2),x)","\int \frac{1}{{\left(\frac{1}{{\sin\left(x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(1/sin(x)^2)^(5/2), x)","F"
46,0,-1,57,0.000000,"\text{Not used}","int(1/(1/sin(x)^2)^(7/2),x)","\int \frac{1}{{\left(\frac{1}{{\sin\left(x\right)}^2}\right)}^{7/2}} \,d x","Not used",1,"int(1/(1/sin(x)^2)^(7/2), x)","F"
47,0,-1,84,0.000000,"\text{Not used}","int((a/sin(x)^2)^(7/2),x)","\int {\left(\frac{a}{{\sin\left(x\right)}^2}\right)}^{7/2} \,d x","Not used",1,"int((a/sin(x)^2)^(7/2), x)","F"
48,0,-1,65,0.000000,"\text{Not used}","int((a/sin(x)^2)^(5/2),x)","\int {\left(\frac{a}{{\sin\left(x\right)}^2}\right)}^{5/2} \,d x","Not used",1,"int((a/sin(x)^2)^(5/2), x)","F"
49,0,-1,46,0.000000,"\text{Not used}","int((a/sin(x)^2)^(3/2),x)","\int {\left(\frac{a}{{\sin\left(x\right)}^2}\right)}^{3/2} \,d x","Not used",1,"int((a/sin(x)^2)^(3/2), x)","F"
50,0,-1,26,0.000000,"\text{Not used}","int((a/sin(x)^2)^(1/2),x)","\int \sqrt{\frac{a}{{\sin\left(x\right)}^2}} \,d x","Not used",1,"int((a/sin(x)^2)^(1/2), x)","F"
51,1,15,14,0.220343,"\text{Not used}","int(1/(a/sin(x)^2)^(1/2),x)","-\frac{\sin\left(2\,x\right)}{2\,\sqrt{a}\,\sqrt{{\sin\left(x\right)}^2}}","Not used",1,"-sin(2*x)/(2*a^(1/2)*(sin(x)^2)^(1/2))","B"
52,0,-1,36,0.000000,"\text{Not used}","int(1/(a/sin(x)^2)^(3/2),x)","\int \frac{1}{{\left(\frac{a}{{\sin\left(x\right)}^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(a/sin(x)^2)^(3/2), x)","F"
53,0,-1,55,0.000000,"\text{Not used}","int(1/(a/sin(x)^2)^(5/2),x)","\int \frac{1}{{\left(\frac{a}{{\sin\left(x\right)}^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(a/sin(x)^2)^(5/2), x)","F"
54,0,-1,74,0.000000,"\text{Not used}","int(1/(a/sin(x)^2)^(7/2),x)","\int \frac{1}{{\left(\frac{a}{{\sin\left(x\right)}^2}\right)}^{7/2}} \,d x","Not used",1,"int(1/(a/sin(x)^2)^(7/2), x)","F"
55,0,-1,123,0.000000,"\text{Not used}","int((a/sin(x)^3)^(5/2),x)","\int {\left(\frac{a}{{\sin\left(x\right)}^3}\right)}^{5/2} \,d x","Not used",1,"int((a/sin(x)^3)^(5/2), x)","F"
56,0,-1,71,0.000000,"\text{Not used}","int((a/sin(x)^3)^(3/2),x)","\int {\left(\frac{a}{{\sin\left(x\right)}^3}\right)}^{3/2} \,d x","Not used",1,"int((a/sin(x)^3)^(3/2), x)","F"
57,0,-1,48,0.000000,"\text{Not used}","int((a/sin(x)^3)^(1/2),x)","\int \sqrt{\frac{a}{{\sin\left(x\right)}^3}} \,d x","Not used",1,"int((a/sin(x)^3)^(1/2), x)","F"
58,0,-1,50,0.000000,"\text{Not used}","int(1/(a/sin(x)^3)^(1/2),x)","\int \frac{1}{\sqrt{\frac{a}{{\sin\left(x\right)}^3}}} \,d x","Not used",1,"int(1/(a/sin(x)^3)^(1/2), x)","F"
59,0,-1,79,0.000000,"\text{Not used}","int(1/(a/sin(x)^3)^(3/2),x)","\int \frac{1}{{\left(\frac{a}{{\sin\left(x\right)}^3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(a/sin(x)^3)^(3/2), x)","F"
60,0,-1,123,0.000000,"\text{Not used}","int(1/(a/sin(x)^3)^(5/2),x)","\int \frac{1}{{\left(\frac{a}{{\sin\left(x\right)}^3}\right)}^{5/2}} \,d x","Not used",1,"int(1/(a/sin(x)^3)^(5/2), x)","F"
61,1,603,164,5.052193,"\text{Not used}","int((a/sin(x)^4)^(7/2),x)","\frac{a^3\,\sqrt{\frac{a}{{\left(\frac{{\mathrm{e}}^{-x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}^4}}\,\left(1+6\,{\mathrm{e}}^{x\,4{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,6{}\mathrm{i}}+{\mathrm{e}}^{x\,8{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,2048{}\mathrm{i}}{7\,{\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-1\right)}^7\,\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-2\,{\mathrm{e}}^{x\,4{}\mathrm{i}}+{\mathrm{e}}^{x\,6{}\mathrm{i}}\right)}+\frac{a^3\,\sqrt{\frac{a}{{\left(\frac{{\mathrm{e}}^{-x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}^4}}\,\left(1+6\,{\mathrm{e}}^{x\,4{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,6{}\mathrm{i}}+{\mathrm{e}}^{x\,8{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1536{}\mathrm{i}}{{\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-1\right)}^8\,\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-2\,{\mathrm{e}}^{x\,4{}\mathrm{i}}+{\mathrm{e}}^{x\,6{}\mathrm{i}}\right)}+\frac{a^3\,\sqrt{\frac{a}{{\left(\frac{{\mathrm{e}}^{-x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}^4}}\,\left(1+6\,{\mathrm{e}}^{x\,4{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,6{}\mathrm{i}}+{\mathrm{e}}^{x\,8{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,10240{}\mathrm{i}}{3\,{\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-1\right)}^9\,\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-2\,{\mathrm{e}}^{x\,4{}\mathrm{i}}+{\mathrm{e}}^{x\,6{}\mathrm{i}}\right)}+\frac{a^3\,\sqrt{\frac{a}{{\left(\frac{{\mathrm{e}}^{-x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}^4}}\,\left(1+6\,{\mathrm{e}}^{x\,4{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,6{}\mathrm{i}}+{\mathrm{e}}^{x\,8{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,4096{}\mathrm{i}}{{\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-1\right)}^{10}\,\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-2\,{\mathrm{e}}^{x\,4{}\mathrm{i}}+{\mathrm{e}}^{x\,6{}\mathrm{i}}\right)}+\frac{a^3\,\sqrt{\frac{a}{{\left(\frac{{\mathrm{e}}^{-x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}^4}}\,\left(1+6\,{\mathrm{e}}^{x\,4{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,6{}\mathrm{i}}+{\mathrm{e}}^{x\,8{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,30720{}\mathrm{i}}{11\,{\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-1\right)}^{11}\,\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-2\,{\mathrm{e}}^{x\,4{}\mathrm{i}}+{\mathrm{e}}^{x\,6{}\mathrm{i}}\right)}+\frac{a^3\,\sqrt{\frac{a}{{\left(\frac{{\mathrm{e}}^{-x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}^4}}\,\left(1+6\,{\mathrm{e}}^{x\,4{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,6{}\mathrm{i}}+{\mathrm{e}}^{x\,8{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1024{}\mathrm{i}}{{\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-1\right)}^{12}\,\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-2\,{\mathrm{e}}^{x\,4{}\mathrm{i}}+{\mathrm{e}}^{x\,6{}\mathrm{i}}\right)}+\frac{a^3\,\sqrt{\frac{a}{{\left(\frac{{\mathrm{e}}^{-x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}^4}}\,\left(1+6\,{\mathrm{e}}^{x\,4{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,6{}\mathrm{i}}+{\mathrm{e}}^{x\,8{}\mathrm{i}}-4\,{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,2048{}\mathrm{i}}{13\,{\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-1\right)}^{13}\,\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-2\,{\mathrm{e}}^{x\,4{}\mathrm{i}}+{\mathrm{e}}^{x\,6{}\mathrm{i}}\right)}","Not used",1,"(a^3*(a/((exp(-x*1i)*1i)/2 - (exp(x*1i)*1i)/2)^4)^(1/2)*(6*exp(x*4i) - 4*exp(x*2i) - 4*exp(x*6i) + exp(x*8i) + 1)*2048i)/(7*(exp(x*2i) - 1)^7*(exp(x*2i) - 2*exp(x*4i) + exp(x*6i))) + (a^3*(a/((exp(-x*1i)*1i)/2 - (exp(x*1i)*1i)/2)^4)^(1/2)*(6*exp(x*4i) - 4*exp(x*2i) - 4*exp(x*6i) + exp(x*8i) + 1)*1536i)/((exp(x*2i) - 1)^8*(exp(x*2i) - 2*exp(x*4i) + exp(x*6i))) + (a^3*(a/((exp(-x*1i)*1i)/2 - (exp(x*1i)*1i)/2)^4)^(1/2)*(6*exp(x*4i) - 4*exp(x*2i) - 4*exp(x*6i) + exp(x*8i) + 1)*10240i)/(3*(exp(x*2i) - 1)^9*(exp(x*2i) - 2*exp(x*4i) + exp(x*6i))) + (a^3*(a/((exp(-x*1i)*1i)/2 - (exp(x*1i)*1i)/2)^4)^(1/2)*(6*exp(x*4i) - 4*exp(x*2i) - 4*exp(x*6i) + exp(x*8i) + 1)*4096i)/((exp(x*2i) - 1)^10*(exp(x*2i) - 2*exp(x*4i) + exp(x*6i))) + (a^3*(a/((exp(-x*1i)*1i)/2 - (exp(x*1i)*1i)/2)^4)^(1/2)*(6*exp(x*4i) - 4*exp(x*2i) - 4*exp(x*6i) + exp(x*8i) + 1)*30720i)/(11*(exp(x*2i) - 1)^11*(exp(x*2i) - 2*exp(x*4i) + exp(x*6i))) + (a^3*(a/((exp(-x*1i)*1i)/2 - (exp(x*1i)*1i)/2)^4)^(1/2)*(6*exp(x*4i) - 4*exp(x*2i) - 4*exp(x*6i) + exp(x*8i) + 1)*1024i)/((exp(x*2i) - 1)^12*(exp(x*2i) - 2*exp(x*4i) + exp(x*6i))) + (a^3*(a/((exp(-x*1i)*1i)/2 - (exp(x*1i)*1i)/2)^4)^(1/2)*(6*exp(x*4i) - 4*exp(x*2i) - 4*exp(x*6i) + exp(x*8i) + 1)*2048i)/(13*(exp(x*2i) - 1)^13*(exp(x*2i) - 2*exp(x*4i) + exp(x*6i)))","B"
62,1,121,118,2.419497,"\text{Not used}","int((a/sin(x)^4)^(5/2),x)","\frac{128\,a^{5/2}\,\left({\mathrm{e}}^{x\,46{}\mathrm{i}}\,1{}\mathrm{i}-{\mathrm{e}}^{x\,48{}\mathrm{i}}\,9{}\mathrm{i}+{\mathrm{e}}^{x\,50{}\mathrm{i}}\,36{}\mathrm{i}-{\mathrm{e}}^{x\,52{}\mathrm{i}}\,84{}\mathrm{i}+{\mathrm{e}}^{x\,54{}\mathrm{i}}\,126{}\mathrm{i}\right)}{315\,\left(\frac{{\mathrm{e}}^{-x\,2{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{x\,2{}\mathrm{i}}}{2}-1\right)\,\left({\mathrm{e}}^{x\,48{}\mathrm{i}}-7\,{\mathrm{e}}^{x\,50{}\mathrm{i}}+21\,{\mathrm{e}}^{x\,52{}\mathrm{i}}-35\,{\mathrm{e}}^{x\,54{}\mathrm{i}}+35\,{\mathrm{e}}^{x\,56{}\mathrm{i}}-21\,{\mathrm{e}}^{x\,58{}\mathrm{i}}+7\,{\mathrm{e}}^{x\,60{}\mathrm{i}}-{\mathrm{e}}^{x\,62{}\mathrm{i}}\right)}","Not used",1,"(128*a^(5/2)*(exp(x*46i)*1i - exp(x*48i)*9i + exp(x*50i)*36i - exp(x*52i)*84i + exp(x*54i)*126i))/(315*(exp(-x*2i)/2 + exp(x*2i)/2 - 1)*(exp(x*48i) - 7*exp(x*50i) + 21*exp(x*52i) - 35*exp(x*54i) + 35*exp(x*56i) - 21*exp(x*58i) + 7*exp(x*60i) - exp(x*62i)))","B"
63,1,44,62,0.673918,"\text{Not used}","int((a/sin(x)^4)^(3/2),x)","\frac{\frac{a^{3/2}\,8{}\mathrm{i}}{15}-\frac{4\,a^{3/2}\,\left(2\,{\sin\left(2\,x\right)}^3-9\,\sin\left(2\,x\right)+3\,\sin\left(4\,x\right)+2{}\mathrm{i}\right)}{15}}{{\left(\cos\left(2\,x\right)-1\right)}^3}","Not used",1,"((a^(3/2)*8i)/15 - (4*a^(3/2)*(3*sin(4*x) - 9*sin(2*x) + 2*sin(2*x)^3 + 2i))/15)/(cos(2*x) - 1)^3","B"
64,1,7,16,0.178302,"\text{Not used}","int((a/sin(x)^4)^(1/2),x)","-\sqrt{a}\,\mathrm{cot}\left(x\right)","Not used",1,"-a^(1/2)*cot(x)","B"
65,0,-1,36,0.000000,"\text{Not used}","int(1/(a/sin(x)^4)^(1/2),x)","\int \frac{1}{\sqrt{\frac{a}{{\sin\left(x\right)}^4}}} \,d x","Not used",1,"int(1/(a/sin(x)^4)^(1/2), x)","F"
66,0,-1,86,0.000000,"\text{Not used}","int(1/(a/sin(x)^4)^(3/2),x)","\int \frac{1}{{\left(\frac{a}{{\sin\left(x\right)}^4}\right)}^{3/2}} \,d x","Not used",1,"int(1/(a/sin(x)^4)^(3/2), x)","F"
67,0,-1,132,0.000000,"\text{Not used}","int(1/(a/sin(x)^4)^(5/2),x)","\int \frac{1}{{\left(\frac{a}{{\sin\left(x\right)}^4}\right)}^{5/2}} \,d x","Not used",1,"int(1/(a/sin(x)^4)^(5/2), x)","F"
68,0,-1,80,0.000000,"\text{Not used}","int(((b/sin(c + d*x))^p)^n,x)","\int {\left({\left(\frac{b}{\sin\left(c+d\,x\right)}\right)}^p\right)}^n \,d x","Not used",1,"int(((b/sin(c + d*x))^p)^n, x)","F"
69,0,-1,82,0.000000,"\text{Not used}","int((a*(b/sin(c + d*x))^p)^n,x)","\int {\left(a\,{\left(\frac{b}{\sin\left(c+d\,x\right)}\right)}^p\right)}^n \,d x","Not used",1,"int((a*(b/sin(c + d*x))^p)^n, x)","F"
70,0,-1,91,0.000000,"\text{Not used}","int((a/sin(e + f*x))^m*(b/sin(e + f*x))^n,x)","\int {\left(\frac{a}{\sin\left(e+f\,x\right)}\right)}^m\,{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int((a/sin(e + f*x))^m*(b/sin(e + f*x))^n, x)","F"